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e -2*u - 91 = -5*u + l, -4*l - 124 = -w*u. What are the prime factors of u? 2, 3, 5 Let l = 404 + 353. What are the prime factors of l? 757 Suppose -138 = v - 3*v. Let x = v + 29. What are the prime factors of x? 2, 7 Suppose 2*m - 4*z + 28 = -0, 3*z = 15. What are the prime factors of 2/m*-3*3222/27? 179 Let o(t) = -244*t**3 - t - 1. Let m be o(-1). Suppose 0 = -4*i + 3*x + 240, 4*i + 4 = 2*x + m. List the prime factors of i. 2, 3, 5 Suppose 53 = -4*f + 65. List the prime factors of -2*(f/(-15) + (-639)/30). 43 Let i = -401 + 33. Let b = -88 - i. What are the prime factors of b? 2, 5, 7 Let r = 1468 + -807. List the prime factors of r. 661 Let o = 7 - 5. Let i be (3/2)/(-3)*-42. Suppose 2*g + 4 = -o*c + 16, 2*c = g - i. List the prime factors of g. 11 Let b(f) = 7 - 7 + f - 2*f + 11. Let y = 18 + -10. List the prime factors of b(y). 3 List the prime factors of 124/6 + 12/(-18). 2, 5 Let l = 470 - 217. What are the prime factors of l? 11, 23 Suppose -10*w + 3*w + 3066 = 0. List the prime factors of (3/6)/(-1 + 439/w). 3, 73 Let x(r) = -r**3 - 18*r**2 - 2*r - 25. What are the prime factors of x(-19)? 2, 11, 17 Suppose 69 = t - 738. What are the prime factors of t? 3, 269 Suppose 133 = 2*o - 2207. List the prime factors of o. 2, 3, 5, 13 List the prime factors of 0/(5 + -11) + 686. 2, 7 Let f(c) = 10*c**2 - 44*c - 4. List the prime factors of f(7). 2, 89 Suppose -60 = 12*r + 3*r. List the prime factors of (r - (-95 + -2)) + 0/2. 3, 31 Suppose 3*l + 135 = 1308. List the prime factors of l. 17, 23 Let x = 1012 - 475. List the prime factors of x. 3, 179 List the prime factors of (-1)/4*-9410*(-12)/(-10). 3, 941 Let v = -1910 + 3567. List the prime factors of v. 1657 Let i be 17*1 + 6 + -10. Let h = i + 48. What are the prime factors of h? 61 Let o(i) be the third derivative of i**6/120 + i**5/6 - 25*i**4/24 + 8*i**3/3 + 8*i**2. What are the prime factors of o(-12)? 2, 7 Suppose 2*r - 150012 = -34*r. What are the prime factors of r? 3, 463 What are the prime factors of 66852/30 - 30/75? 2, 557 Let b = 8 - -53. Suppose b + 499 = 2*f + 3*l, -3*f = l - 826. List the prime factors of f. 2, 137 List the prime factors of -4*(2 + (-711)/12). 229 Let o = -1874 + 2293. What are the prime factors of o? 419 Let b = -86 + 654. What are the prime factors of b? 2, 71 Suppose 0*z = 3*l + 4*z - 2434, 5*l - 4052 = -2*z. Suppose 8*p = 13*p - l. List the prime factors of p/8 - (-3)/4. 3, 7 List the prime factors of 6/(-12) - (1 - 483/2). 2, 3, 5 Suppose 4*l - 52 = -v - 3*v, -3*l = -4*v + 38. Suppose 0 = 4*k + v - 3. What are the prime factors of -2*(-6 - (k - 0))? 2 Suppose -7*g + 363 = -4*g. Suppose 3*p + 40 - g = 0. List the prime factors of p. 3 Let z(c) = 2602*c**2 - 2*c + 3. What are the prime factors of z(1)? 19, 137 Let n(h) = -2*h**2 + 13 - 7*h**2 - h**3 + 8*h**2. What are the prime factors of n(-5)? 113 Suppose -3*n = q - 9, -2*q - 5*n = -0*n - 14. Let p be 58 + q/(-12)*4. Let j = -24 + p. List the prime factors of j. 5, 7 Let z be 2 + (6 - 2)/4. Suppose -s - 283 = -2*t, z*t - 4*s - 40 = 397. What are the prime factors of t? 139 Let y(b) = b**2 - 6*b + 3. Let r be -1 - (20/2)/2. Let j be y(r). Suppose 3*v + 0 = j. What are the prime factors of v? 5 List the prime factors of -4 - -3178 - -6 - (2 - -2). 2, 397 List the prime factors of (680/(-51))/(1/(-12)). 2, 5 Suppose 2*y = -2*t + 12, -3*y + 3*t = 4*t - 26. Suppose y*x - 11*x = -74. List the prime factors of x. 2, 37 Let o = -72 + 71. What are the prime factors of (3*2 - o)*(3 + 17)? 2, 5, 7 Let q(h) = 53*h**2 - 1. Suppose -4*c + c + 6 = 0, 7 = 3*l + 2*c. List the prime factors of q(l). 2, 13 Let a = 22 - 19. Let o = a - 63. List the prime factors of (80/o)/((-2)/54). 2, 3 Let o(q) = q**3 + 8*q**2 - 4*q - 3. Let a be o(-8). Suppose -a*c - 27 = -32*c. What are the prime factors of c? 3 Let j(p) = p**2 + 12*p + 6. Let a be j(-11). Let i(q) = q + 5. Let y be i(a). Suppose y = -3*g + 2*g + 16. What are the prime factors of g? 2 Suppose 0 = -4*r + 5*n + 3347, 830 = r + 2*n - n. List the prime factors of r. 7, 17 Suppose -18*i - 4520 = -23*i. Suppose 18*c - 500 - i = 0. List the prime factors of c. 2, 3, 13 Let i be (-26)/(-13)*(1 + 0). Suppose i*p + p + 2*l = 3, p + l = 0. List the prime factors of p. 3 Let z(k) = k**2 + 8*k - 12. Suppose -17*f + 12 = -18*f. What are the prime factors of z(f)? 2, 3 Let t(p) be the first derivative of 5*p**3/3 + 4*p**2 - 11*p + 41. List the prime factors of t(-6). 11 Suppose 3*d - 940 = -5*b, b + 0*d = d + 180. List the prime factors of b. 5, 37 Let f(b) = -b**3 + 28*b**2 - 28*b - 35. What are the prime factors of f(26)? 19, 31 Let f = 3158 + -1823. List the prime factors of f. 3, 5, 89 Let b(r) = 96 - r**2 - 7*r + 9*r + 0*r**2. Let v be b(0). Suppose c = -2*c + v. What are the prime factors of c? 2 Let k be (-1 - 4)/(29/(-29)). Suppose 11 + k = -4*p, -3*z - 5*p + 241 = 0. What are the prime factors of z? 3, 29 Let x = -45 + 66. Suppose -x*w + 17*w = -188. What are the prime factors of w? 47 List the prime factors of (320/(-25))/((-22)/3245). 2, 59 Let u(f) be the third derivative of -65*f**4/24 - f**3/2 - 10*f**2. List the prime factors of u(-1). 2, 31 Suppose -10*v - 156 = -12*v. What are the prime factors of v? 2, 3, 13 Suppose 1974 = 3*i + 10*g - 8*g, g - 3290 = -5*i. What are the prime factors of i? 2, 7, 47 Let z = 324 + -110. Suppose -2*h = 4*v - z, 84 + 14 = 2*v + 4*h. Suppose 0 = -5*s + 3*l + 261, -s = -l - l - v. What are the prime factors of s? 3, 17 Suppose 19*d - 1773 = 16*d. List the prime factors of d. 3, 197 Let v(n) = 369*n**2 + 25*n + 44. List the prime factors of v(-2). 2, 3, 5, 7 Suppose -4*f + 4*o = 126 - 2274, -2709 = -5*f - 3*o. List the prime factors of f. 2, 3, 5 Let j be (91/3)/7*(-10 + 1). What are the prime factors of -2*j/9*9? 2, 3, 13 Let g = 86 + -43. List the prime factors of g. 43 Let x(s) = 8*s**3 + s**2 - 7*s + 9. What are the prime factors of x(4)? 509 List the prime factors of (-20)/5 + 6 - (-5277 + 2). 3, 1759 Let r(j) = j**3 - 7*j**2 + j - 4. Suppose -6 = x - 13. Let l be r(x). Suppose l*o = -4*h + 2, 2*o + 3*o + 3*h - 18 = 0. List the prime factors of o. 2, 3 Suppose 4*n - 5*m = -590 + 3818, 5*n + 3*m = 3998. List the prime factors of n. 2, 401 What are the prime factors of 1422 + -2 + 17 + -12? 3, 5, 19 Let y = -47 + 131. Let b = y + -42. Suppose -4*i - b = -11*i. List the prime factors of i. 2, 3 List the prime factors of (4 - 3)*4675/17. 5, 11 Suppose -18 = -2*x - 8. Suppose -6*s + s + 25 = 0. Suppose b - 14 = 2*a - s, -b = 5*a + x. List the prime factors of b. 5 Let j = 43 - 27. Suppose -21*z + j*z + 495 = 0. What are the prime factors of z? 3, 11 Let k = 5 - 3. Suppose -k*g = g + 5*a + 3, 2*g - 11 = a. Suppose 0 = g*s - s - 63. What are the prime factors of s? 3, 7 Let a be 8 - 5 - (-5 - 2). Let z(i) = i**2 + 3*i - 5. Let m be z(-4). List the prime factors of m - a*2/(-4). 2 Let z = -916 + 1863. List the prime factors of z. 947 What are the prime factors of (25/(-10))/((-1)/2) - -4585? 2, 3, 5, 17 Let q(c) = -c + 4. Let i(k) = -k + 3. Let v(g) = -5*i(g) + 6*q(g). Let w be v(7). Suppose h = u + 3*u - 44, -w*u = h - 16. List the prime factors of u. 2, 5 Let n be (18/(-12))/((-3)/136). Let c = -19 + n. What are the prime factors of c? 7 Let a = 2308 + -907. What are the prime factors of a? 3, 467 List the prime factors of (-1640)/5*135/(-40)*2. 2, 3, 41 Suppose 2*s = -11*s + 247. List the prime factors of (-586)/(-4) - s/38. 2, 73 Suppose 0 = 3*p + 2*w - 6, -3*w + 7 - 16 = 0. Suppose 0*v + 4*v = -3*m + 2, -m = p*v - 6. What are the prime factors of (v - (-6)/1) + 0? 2 Let p(g) = g**3 + 7*g**2 - 41*g + 16. Let b(l) = l**3 + 6*l**2 - 42*l + 16. Let i(o) = 5*b(o) - 6*p(o). List the prime factors of i(-15). 7, 17 Let v be (0 - -3)*(1/(-3) - -1). Suppose -4*p + v*f = 7*f - 59, p = -f + 16. What are the prime factors of p? 3, 7 Suppose -2*r + 77 = -r. Suppose 6*h = 563 - r. List the prime factors of h. 3 Suppose -2*x + 195 = 3*z, 3*x = 3*z - 139 - 41. List the prime factors of z. 3, 7 Suppose 126 = 3*t + 3*i, t - 3*i = 22 + 32. Let w be ((-2)/4)/(1/(-6)). Suppose 3*y - 75 = -5*b - y, -2*y = -w*b + t. List the prime factors of b. 3, 5 Let j(p) = -3*p**2 - 7*p + 1. Let b(t) = -4*t**2 - 7*t. Let v = 0 + 3. Let h(k) = v*j(k) - 2*b(k). List the
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common factor of 76 and 133. 19 Calculate the highest common factor of 1 and 233. 1 Calculate the greatest common divisor of 46 and 2806. 46 Calculate the highest common divisor of 116 and 22562. 58 Calculate the highest common factor of 1 and 2048. 1 What is the greatest common divisor of 96 and 2208? 96 What is the highest common factor of 161 and 252? 7 What is the greatest common factor of 3330 and 900? 90 What is the greatest common divisor of 20 and 12? 4 What is the highest common factor of 1536 and 48? 48 Calculate the highest common factor of 505 and 202. 101 What is the greatest common divisor of 380 and 2565? 95 What is the highest common factor of 180 and 16020? 180 Calculate the highest common factor of 192 and 33888. 96 What is the highest common divisor of 9 and 6? 3 Calculate the highest common factor of 1819 and 34. 17 What is the highest common divisor of 2587 and 13? 13 What is the greatest common factor of 112 and 1024? 16 Calculate the greatest common divisor of 116 and 1508. 116 What is the highest common divisor of 121 and 3069? 11 What is the greatest common divisor of 2259 and 3? 3 Calculate the greatest common divisor of 111 and 2257. 37 What is the greatest common divisor of 3 and 49? 1 What is the greatest common divisor of 56 and 128? 8 What is the highest common divisor of 13 and 26? 13 What is the highest common divisor of 184 and 23? 23 Calculate the highest common divisor of 119 and 68. 17 What is the greatest common factor of 36 and 90? 18 What is the greatest common factor of 80 and 10? 10 Calculate the highest common factor of 424 and 8. 8 Calculate the highest common divisor of 28 and 532. 28 Calculate the greatest common divisor of 294 and 1372. 98 What is the highest common divisor of 7504 and 448? 112 Calculate the highest common factor of 7 and 13657. 7 Calculate the highest common divisor of 2989 and 61. 61 What is the highest common divisor of 130 and 3510? 130 Calculate the highest common factor of 25 and 126. 1 Calculate the highest common divisor of 41 and 369. 41 Calculate the greatest common divisor of 54 and 594. 54 What is the greatest common factor of 32 and 424? 8 What is the highest common factor of 26 and 1417? 13 Calculate the highest common factor of 2 and 2448. 2 Calculate the highest common divisor of 21105 and 315. 315 Calculate the greatest common factor of 14 and 126. 14 What is the highest common factor of 38 and 8018? 38 What is the greatest common factor of 210 and 798? 42 What is the highest common factor of 160 and 2350? 10 Calculate the greatest common divisor of 1104 and 2346. 138 Calculate the greatest common factor of 493 and 58. 29 What is the greatest common factor of 6 and 30? 6 Calculate the greatest common divisor of 153 and 187. 17 Calculate the highest common factor of 147 and 168. 21 What is the greatest common factor of 39 and 3003? 39 Calculate the greatest common factor of 1647 and 27. 27 What is the greatest common factor of 35 and 28315? 35 What is the greatest common divisor of 54 and 288? 18 Calculate the highest common divisor of 356 and 13261. 89 What is the highest common divisor of 1030 and 90? 10 What is the greatest common factor of 105 and 595? 35 Calculate the highest common divisor of 123 and 4469. 41 What is the highest common factor of 425 and 85? 85 Calculate the greatest common divisor of 6 and 294. 6 Calculate the highest common factor of 333 and 24. 3 What is the greatest common factor of 9 and 1359? 9 Calculate the highest common factor of 80 and 40. 40 What is the greatest common divisor of 14 and 134680? 14 What is the greatest common factor of 45543 and 323? 323 Calculate the highest common divisor of 452 and 16. 4 Calculate the greatest common divisor of 22 and 134. 2 Calculate the highest common divisor of 244 and 20. 4 What is the highest common factor of 9774 and 54? 54 What is the greatest common divisor of 189 and 84? 21 Calculate the highest common factor of 6 and 156. 6 Calculate the highest common divisor of 117 and 559. 13 What is the greatest common factor of 3 and 9? 3 Calculate the highest common divisor of 975 and 1875. 75 What is the highest common divisor of 189 and 315? 63 Calculate the greatest common factor of 540 and 2970. 270 What is the greatest common factor of 4116 and 12? 12 Calculate the greatest common factor of 165 and 66. 33 What is the greatest common divisor of 882 and 18? 18 What is the highest common divisor of 13244 and 11? 11 What is the greatest common divisor of 3 and 1551? 3 Calculate the highest common divisor of 100 and 32. 4 What is the greatest common factor of 672 and 42? 42 What is the greatest common divisor of 549 and 3782? 61 Calculate the highest common divisor of 8 and 34. 2 Calculate the greatest common factor of 184 and 88. 8 Calculate the greatest common factor of 9 and 2979. 9 Calculate the greatest common factor of 39731 and 67. 67 Calculate the greatest common factor of 33 and 306. 3 What is the highest common factor of 6 and 456? 6 What is the highest common factor of 2195 and 5? 5 Calculate the greatest common divisor of 36 and 63. 9 Calculate the greatest common divisor of 7 and 875. 7 What is the highest common divisor of 20 and 44420? 20 Calculate the highest common factor of 230 and 355. 5 Calculate the highest common factor of 59 and 2124. 59 Calculate the highest common divisor of 6 and 438. 6 What is the highest common factor of 67621 and 19? 19 Calculate the highest common factor of 27 and 999. 27 Calculate the greatest common divisor of 132 and 22. 22 Calculate the highest common divisor of 116 and 4. 4 What is the greatest common factor of 92038 and 17? 17 What is the greatest common factor of 77 and 154? 77 Calculate the greatest common factor of 3122 and 56. 14 What is the greatest common factor of 364 and 52? 52 Calculate the greatest common factor of 32 and 380. 4 Calculate the greatest common factor of 2 and 58. 2 What is the greatest common divisor of 30 and 230? 10 Calculate the highest common factor of 183 and 1769. 61 Calculate the greatest common divisor of 132 and 1221. 33 What is the greatest common divisor of 26 and 9997? 13 What is the greatest common divisor of 32 and 1? 1 Calculate the highest common divisor of 60 and 7185. 15 Calculate the greatest common divisor of 2862 and 378. 54 Calculate the highest common factor of 4 and 46. 2 Calculate the highest common divisor of 1271 and 82. 41 What is the highest common factor of 6208 and 97? 97 Calculate the highest common factor of 40 and 1080. 40 Calculate the highest common divisor of 1 and 47. 1 Calculate the highest common factor of 28 and 27132. 28 Calculate the highest common divisor of 370 and 250. 10 Calculate the greatest common factor of 30 and 6606. 6 Calculate the greatest common divisor of 44 and 143. 11 Calculate the greatest common factor of 21 and 14. 7 Calculate the greatest common divisor of 1323 and 4725. 189 What is the highest common divisor of 18 and 22? 2 Calculate the highest common divisor of 33 and 39. 3 What is the greatest common factor of 222 and 1258? 74 What is the greatest common factor of 6109 and 82? 41 What is the highest common divisor of 16 and 688? 16 Calculate the greatest common divisor of 704 and 1628. 44 Calculate the greatest common factor of 2715 and 15. 15 Calculate the highest common divisor of 3336 and 24. 24 What is the greatest common factor of 94 and 18? 2 Calculate the greatest common factor of 1243 and 110. 11 What is the highest common factor of 66 and 198? 66 What is the highest common factor of 60 and 570? 30 Calculate the greatest common divisor of 56 and 16. 8 Calculate the greatest common divisor of 430 and 258. 86 What is the greatest common factor of 6 and 16? 2 Calculate the greatest common divisor of 1314 and 549. 9 What is the greatest common divisor of 207 and 4761? 207 What is the highest common factor of 12 and 372? 12 What is the highest common factor of 17 and 272? 17 Calculate the greatest common divisor of 24173 and 23. 23 What is the highest common divisor of 54 and 24? 6 What is the highest common factor of 72 and 168? 24 What is the highest common factor of 56 and 6524? 28 Calculate the greatest common factor of 28
{ "pile_set_name": "DM Mathematics" }
and give w. 2 Rearrange -2*j + 5*j + 140*j**3 - 3*j**2 - j - 142*j**3 to u*j**2 + m*j + x*j**3 + w and give m. 2 Rearrange f**3 - 2*f**3 + 6*f + 2*f**3 + 3*f**2 - 4*f to the form s*f + j + a*f**2 + n*f**3 and give a. 3 Rearrange (-5 + 10 + 1 + (-6 + 1 + 3)*(-2 + 0 + 0))*(-2*q + 2*q + q**2) to g + u*q + s*q**2 and give s. 10 Express (4 - 4 - 2)*(2 + 1 + 2)*(-2*f**2 - f**2 - 2*f + 4*f**2) in the form c*f**2 + j*f + m and give j. 20 Rearrange 8*j + 3*j + 0*j + 5*j to q + o*j and give o. 16 Express -24*v**3 + 2 - 6*v**2 + 43*v**3 - 20*v**3 as g + y*v**3 + c*v + d*v**2 and give d. -6 Rearrange (31 - 8 - 1)*(n**4 - 3*n**4 + 4*n**4) to the form v*n**4 + u*n**2 + b + l*n + g*n**3 and give g. 0 Rearrange p**4 + 2*p**4 - 4*p**4 + (2*p - p - 3*p)*(-p**2 + 2*p**3 + p**2) to g*p**3 + a*p + t*p**4 + y + x*p**2 and give t. -5 Express 2*i - 9*i - 7*i - 4*i in the form l + v*i and give v. -18 Express (-2 + 1 - 4)*(-2*z - 2*z**3 + 2*z)*(-23 + 23 + 14*z) in the form w*z + j*z**2 + a + t*z**4 + x*z**3 and give t. 140 Rearrange 9 + 4 - 12 + 6*b**2 to v*b + t*b**2 + d and give t. 6 Express -3*x + 3*x + 4*x - 2*x as t + f*x and give f. 2 Rearrange 77*n + 38*n - n to y + x*n and give y. 0 Rearrange (-3*v**2 + 3*v**2 - v**2)*(4 + 0 - 6)*(13*v - 70 + 70) to the form m*v**2 + r + z*v + q*v**3 and give q. 26 Express (-1 - 1 + 4)*(-c**2 + 2*c**2 - 3*c**2)*(23*c + 23*c - 48*c) in the form y + l*c + f*c**2 + u*c**3 and give u. 8 Express 33*s**2 + 39 - 39 as k*s + u + v*s**2 and give v. 33 Express -7*a + a**3 + 3*a + 2 + 3 - 2*a**2 + 0*a**2 in the form q + y*a + o*a**3 + p*a**2 and give p. -2 Express 2*f**2 + 33 + 39 + f**4 - 73 + 2*f**3 in the form l*f**2 + z*f + u + d*f**4 + c*f**3 and give l. 2 Rearrange 2*j**2 + 15*j + 2*j**2 - 5*j**2 + 0*j to g*j**2 + a + t*j and give g. -1 Rearrange (2 + i - 2 - 2*i**3)*(-2*i + 4*i - i - i + 2*i - 2*i + (-1 + i + 1)*(2 - 7 + 3) - 7*i - i + 4*i) to s*i + r*i**3 + p*i**2 + q + a*i**4 and give p. -6 Express 13 - 13 + 5*a**2 in the form t*a**2 + j + k*a and give t. 5 Express 4*b**3 + 4*b + 2*b**2 - 3*b + 3*b**4 - 42 + 44 in the form q*b**4 + g*b**3 + x*b**2 + u*b + h and give h. 2 Express (3*c**3 - c**3 - 4*c**3)*(134*c - 268*c + 114*c) as o*c**3 + w*c**2 + r + l*c + g*c**4 and give g. 40 Express -6 + 10 - 4 - 14*l as z*l + u and give z. -14 Rearrange -6*g**3 + 13*g**2 + 2*g + 4*g**3 - g to the form r*g + m*g**2 + o*g**3 + y and give r. 1 Express -2 - u**3 + 15*u**2 - 4*u - 13*u**2 - 2*u as h*u + s*u**2 + v*u**3 + c and give s. 2 Express (3*w - 2*w + 2*w)*(-8*w - w - 7*w) as x + p*w + d*w**2 and give d. -48 Rearrange -6*t**2 + 2*t - t - t to the form p*t**2 + z*t + i and give p. -6 Rearrange (6*j**2 - 2*j**2 - 3*j**2)*(-1 + 2 + 1)*(5*j + 14*j + 9*j) to the form i*j + t*j**3 + a*j**2 + o and give t. 56 Express 3*s**3 - 3*s**3 - 3*s**4 + (-11*s**2 + 4*s**2 + 3*s**2)*(3 - 3 + 2*s**2) in the form x*s + v*s**2 + d + a*s**3 + g*s**4 and give g. -11 Express -20*g**2 + 1 + 0 + g - 4*g**2 + (-3 + 3 - 2*g)*(-g + 2 - 2) in the form s + u*g + o*g**2 and give u. 1 Express 36*b - 2*b**3 - 11*b - 1250*b**2 + 1248*b**2 as y + u*b + t*b**2 + c*b**3 and give u. 25 Express 12 - 14 - 3*q**2 + q**2 as h*q**2 + u*q + y and give u. 0 Rearrange (1 + 6*q - 2*q - 5*q)*(-18*q**2 + 14 + 21 - 34) to the form b*q + w + v*q**3 + s*q**2 and give w. 1 Rearrange -2 + c**4 - 3 + 0*c**2 + 6 + 4*c**2 + 2*c**3 to g*c**3 + m*c**2 + u*c + s + r*c**4 and give g. 2 Rearrange 231*a - 114*a - 118*a - 2*a**4 - a**2 to f + l*a**4 + b*a + v*a**2 + q*a**3 and give v. -1 Rearrange 20*y - 35*y - 5*y - 33*y to v*y + g and give v. -53 Rearrange -7*m**2 + 17*m**2 - 7*m**2 - 3 - 27 to q + t*m**2 + z*m and give t. 3 Express -10 + 17 - 7 - 13*d in the form r*d + i and give r. -13 Express -7*t**2 + t**2 - 27*t**2 - 6*t**2 in the form b + z*t + m*t**2 and give m. -39 Rearrange 0*i + i - 3*i + (-15*i - 7 + 7)*(-1 + 1 - 1) - 3*i + 2 + 0 + i to the form l*i + n and give l. 11 Rearrange (-p**4 - 2 + 2)*((-9 + 7 - 7)*(12 - 25 + 7) + 3 + 0 - 4 + (-1 + 2 + 0)*(4 - 1 - 4)) to the form w + o*p**2 + m*p**3 + c*p**4 + r*p and give m. 0 Express u**4 + 2*u - 1 - 2*u - 2*u**4 + 2*u**2 + 2*u**3 as d*u + r*u**2 + g*u**3 + v + t*u**4 and give v. -1 Rearrange 18*u**2 + 44 - 21 - 22 to the form r + z*u**2 + y*u and give z. 18 Express 5*o + 3 + o - 7*o + (1 - 1 - 1)*(7*o + 2*o - 4*o) as j*o + l and give l. 3 Rearrange 1 - 10*l**4 + l**3 + l**3 + l**3 + l**2 + 12*l**4 to the form g*l**4 + t*l**2 + h*l**3 + q*l + b and give t. 1 Rearrange 7*s**2 + 3*s**2 + 4*s**2 + (9*s - 4*s + 3*s)*(-2 - s + 3*s - 3*s) to the form b + k*s**2 + y*s and give k. 6 Express (-58 - 13 + 25)*(3*q**3 + 0*q**2 + 0*q**2) in the form l*q + u*q**3 + f*q**2 + j and give u. -138 Rearrange -2*n**2 - n + n + (22 + 2*n - 12 + 24)*(2*n + 2*n - 6*n) to x + r*n + t*n**2 and give r. -68 Express (0*h**2 - 6*h**2 + 0*h**2)*(2*h**2 + 4*h - h**2 + 0*h) as g + o*h**4 + v*h**3 + w*h**2 + z*h and give v. -24 Express 2*k**2 - 2*k + 0*k**2 - 8 - k**3 + 2*k in the form t*k**3 + v*k**2 + x + s*k and give x. -8 Rearrange 10*n**3 - 7*n**3 - n**3 + 2*n**4 - 2*n**2 to the form q*n**4 + f*n**2 + r + c*n**3 + v*n and give f. -2 Express 8*x - 7*x - 2*x as z*x + i and give z. -1 Rearrange -6*v + 2*v + v + (0*v + 0*v + 2*v)*(0 - 3 - 2) to the form g + n*v and give n. -13 Rearrange 1 - 60*z**2 - 4 + 58*z**2 - 11*z**3 to v*z**3 + k + m*z + j*z**2 and give v. -11 Express (-3 - 161*a + 159*a + 3*a**2 + 1)*(-3 + 21 - 11) in the form o*a + h + g*a**2 and give o. -14 Rearrange -337 + 3*n + 306 - 2*n + n to the form f + x*n and give x. 2 Rearrange 74*g + 2 - 12*g - 2 to o*g + f and give o. 62 Rearrange (-1 - 1 + 3)*(l - 4*l + 5*l + l + 2 - 2 + (-3*l + l + 0*l)*(-1 + 1 - 2) + l + l + 0*l - 62*l + 94 - 94) to u + s*l and give s. -53 Express 2*o**3 - 3*o**3 + 4*o**3 + (-5*o**2 + o**2 + 3*o**2)*(2*o - o + 0*o) as l*o**3 + k*o**2 + j*o + a and give l. 2 Rearrange (21 - p - 21 + (2 - 5 + 2)*(-p + p + 2*p) + p + 5 - 5 + 2*p - 3*p - p)*(-3 + 7*p + 3) to the form r*p + d*p**2 + n and give d. -28 Rearrange 3*g**4 + g - g + (2*g - 2*g - 2*g)*(0*g**3 - 2*g**3 + 0*g**3) + 4*g**3 + g**4 - 4*g**3 to d*g**4 + a*g + s + m*g**3 + i*g**2 and give d. 8 Express (1 - 4*g + 5*g - 2*g)*(1 - 1 - 2*g)*(-398*g**2 + 405*g**2 + 294*g**2) as w*g**4 + d*g + l*g**3 + n + x*g**2 and give l. -602 Express (4 - 2 + 0)*(-z - 1 + 1) - z + 4 - 4 - 1 - 3*z + z - z as m*z + h and give m. -6 Express 1152*g**2 - 40*g - 1154*g**2 - 80*g in the form f*g**2 + o + r*g and give f. -2 Rearrange 140*k**2 + 280 - 280 - 3*k + 2*k - 2*k - k**2 + (-5*k + k + 2*k)*(-2*k - 2 + 2) + 3*k**2 + 3*k**2 - 5*k**2 to w*k + d*k**2 + b and give d. 144 Express 6*i**3 - 4*i + i + 3*i**2 - 5*i**3 in the form r + y*i**3 + u*i + n*i**2 and give y. 1 Express (-2*g + 4*g + 2*g)*(-2 + 3 + 0) + (-10 + 10 - 2*g)*(-1 - 1 + 0) as y*g + w and give w. 0 Express 0*p + 2*p - 3*p + (4 - 2 - 1)*(2 + 3 - 3)*(12*p - 9 + 9) as m + l*p and give l. 23 Express -5*s + 2*s - 21 + 16 + 13 as z*s + t and give t. 8 Express -3*h**2 - 22*h - 2*h**2 - 22 + 22*h in the form p + l*h**2 + c*h and give c. 0 Rearrange (2*b**2 + 2*b**2 - 5*b**2)*(0 - 1 - 2)*(5*b - 6*b + 0*b + 12) to the form p*b**2 + v*b**3 + n*b + i and give n. 0 Rearrange (3*q + q - 16*q)*(2*q - q + q) to the form j*q**2 + s*q + c and give s. 0 Rearrange (-z - 37 + 107 + 108)*(3 - 1 - 1) to n + b*z and give n. 178 Rearrange (-4*n + 2*n + 3*n)*(-3*n + 3*n + 2*n) + (n - n - 4*n)*(-n - 2*n + 4*n) to o + z*n + c*n**2 and give c. -2 Rearrange -141 - 6*g + 140 + 3*g - 2*g to w + y*g and give w. -1 Express -1 - 3*g**2 + 3 - 2*g**2 + 6*g**2 in the form i*g + k*g**2 + d and give d. 2 Express -2*a**2 - 3*a**2 + 4*a**2 + 12*a in the form y + x*a + f*a**2 and give f. -1 Rearrange -88*v**3 - v + 120*v**3 - v to n*v + l*v**2 + m + b*v**3 and give n. -2 Express 8*p**4 - 10*p**4 - 2*p**3 - p**3 - 2*p + 0*p**3 as h*p**4 + d*p**2 + g*p**3 + f*p + z and give g. -3 Rearrange (4 + 0 - 6)*(-100*w**3 + 5843 - 5843) to x*w**2 + l + m*w**3 + g*w and give m. 200 Rearrange 10 - 6 - 9*r + r to a*r + m and give a. -8 Express 9 - 4 + 39*o - 1 - 3 in the form l*o + a and give l. 39 Rearrange 0*s - 2*s**2 + 0*s + (-s - 2*s + s)*(-4*s - 2*s + 3*s) - 5*s**2 + s**2 + 3*s**2 + 3*s**2 + 4*s**2 - 5*s**2 to l*s**2 + o*s + w and give l. 5 Express 11
{ "pile_set_name": "DM Mathematics" }
30 for n. 3 Solve -4*w + w + 23 = -s - 8*w, 11*w + 11 = 3*s + 7*w + 3*w for s. 2 Solve -4*m - 399*l = 383, -182*m = -179*m + 2*l - 10 for m. 4 Solve 49*y = 2385*b - 2383*b - 823, 105 = -4*b - 5*y for b. -5 Solve -5*x - 106 = -3*t, 5*x - 7*x - 2*t + 59 + 24 = 7*x for x. 1 Solve 48 = 3*i - 3*a, -1812664*a = 3*i - 1812661*a - 30 for i. 13 Solve -1833*g - 60 = -1823*g - 5*n, 4*n + 20 = 92 for g. 3 Solve 2*h = 38*j + 36, -23485*j - 23490*j + 46970*j + 5*h = 90 for j. 0 Solve 66*k - 66 = 64*k + 4*x, k = 2*k + x - 27 - 18 for k. 41 Solve 2*y = -2*d + 38, -149538*d + 149535*d + 63 = y for y. -3 Solve -74*q + 2*y - 14 = -76*q, -2768*q = -2773*q + 8*y + 9 for q. 5 Solve -3*a - p + 181 = 197, 4*a - 3*p = 35 for a. -1 Solve 5*m + 5*y = -35, 0*m - 2503*y = -3*m - m - 2500*y for m. -3 Solve -p + 34 = 5*k - 7, -32*k + 31*k + 11*p - 2093 = -30*p for k. -2 Solve 6339*i - 3*p = 6341*i + 53, 5*i = -p - 100 for i. -19 Solve -4678*x + 4*o - 26 = -4677*x, -x = -5*o + 33 for x. 2 Solve 4*r - 48 = 4*v - 40, 5*v = 3*r - 12 for r. -1 Solve 3*h + 4*i = 52, 18*h - 145*i = -149*i + 352 for h. 20 Solve 2*t - 20*p = -6*p - 8*p - 4*p - 24, -409*t - 3*p = 3672 for t. -9 Solve -4*a + 4*a - 3*d + 33 = -a, -1051*a = d - 0*d + 2*d + 3123 for a. -3 Solve -4*n + 84 = -24*w - n, w - 8*n - 28 = 0 for w. -4 Solve -x + 4*f + 88 = 0, -46028*x + 46044*x - 3*f - 5 = 0 for x. -4 Solve 0 = -2*j + 7*y - 420, 2*j = -155*y + 151*y + 240 for j. 0 Solve 0 = -i - 42*s - 255, 5*s - 18119 = -5*i - 18164 for i. -3 Solve -3*w - 4*h + 648442 - 648615 = 0, -2*h - 88 = 0 for w. 1 Solve -4*x - 76 + 176 = 4*s, -4*x + 151 = 2*s + 51 for x. 25 Solve -m - 3 = -5*n + 142 - 128, 2 = 5*m + 4*n for m. -2 Solve -3*i + 64*a + 15 = -87*a - 36, -5*a = 0 for i. 17 Solve -5*c + 598*v - 18 = 625*v, -5*v - 22 = 3*c for c. -9 Solve -2*u - 59 = -6*t + t - 19, -50*t = u - 190 for u. -10 Solve 6*y = 2*k - 16, -4*k + 4*y + 5601 - 5577 = 0 for k. 5 Solve -3*b = 9, t + 7*t - 9*t + 31 = -9*b for t. 4 Solve -4*c - 73 - 49 = -3*t, -4*c = -7*c - 10*c + 5*t - 235 for c. -5 Solve 4*g - 15*l - 14 = -13*l, 79*l - 48*l - 93 = 0 for g. 5 Solve -8*h - 137 = -4*h + 4*r - 13, 2 = r for h. -33 Solve -2*f = 2*m + 3*f - 112, 8*m - 3*m + 68 = 2*f for m. -4 Solve 0 = -2*d - 1886*k + 1880*k + 54, 5*d + k - 3*k = 50 for d. 12 Solve -2*a + 4*j + 987 = 963, -3*a + 3*j = -12 for a. -4 Solve -15 = -3*h + 3*x, -60 + 21 = -3*h - 3*x - 24 for h. 5 Solve -g = t - 3*t + 24, 2*g + 3*t + 21000 = 21029 for g. -2 Solve 2*d + 6*p - 13 = 7*p, 55*p + 616 = -d + 12 for d. 1 Solve -4*p + 29*w = -83, -5*p + 5*p + 2*w = 31*p + 3*w + 34 for p. -1 Solve 0 = -w + 162*q - 165*q - 10, 0 = -2*w - 5*q + q - 14 for w. -1 Solve -3*t = 5*a - 62, -74*a + 9 = -147*a + 73*a - 31*t - 30 + 8 for a. 13 Solve 25*g - 23*g - 123 = 3*n, -79*g - 2*n = -4979 for g. 63 Solve -54*g + 9*t = -59*g - 53, -6*t = 5*g - 8*g - 3*t - 57 for g. -16 Solve -2*y - b - 36 - 136 = -4*y - 10*y, 62*b = 63*b + 4 for y. 14 Solve -34 = -c - 33, 5*c - 29 - 13 = x + 23 - 19 for x. -41 Solve 5*i + 20 = -u + 1, -3*i + 43 = 55*u for i. -4 Solve l + 41 = -5*d, 5*d = 643*l - 332*l - 313*l - 42 for d. -8 Solve 14264*w = 2*c + 14269*w + 38, 43 = 3*c - 5*w for c. 1 Solve 18 = -37*b + 2*h + 1 - 1, -4*b = 2*h + 64 for b. -2 Solve 3*o + 22*v = 198, -v + 1742 = -3*o + 1733 for o. 0 Solve -5*b = -22*c + 17*c - 265, 2*c + 32*b + 1810 = 111*b - 2300 for c. -1 Solve 46*n - 55 = 213*x + 48*n - 308, 4*x - 3*n = -2*n - 16 for x. 1 Solve -4*y - 264 = 7*d, 5*d + 171 = 7222*y - 7219*y for d. -36 Solve 38 = 4*k - 4*s - 25 - 49, -s = 30 for k. -2 Solve k - 4*l - 35 = 0, 3*k + 76345*l = 76346*l + 6 for k. -1 Solve 3*a - 8*v + 332 = 327, -a - 15 = 4*v for a. -7 Solve 0 = -3*s + 5*y - 63, 0*s + 1244 = 5*s - 8*y + 1350 for s. -26 Solve 45*b = y + 44*b + 10, -7*y + 2*b = 45 for y. -5 Solve -1917*u + 2*z = -958*u - 956*u + 6 - 1, 3*z = 7*u + 5 for u. 1 Solve 3*z + v + 3 = -v, 11*z + 110 = v + 99 for z. -1 Solve 0 = -19*c + l + 13, 5*c - 29 = 277470*l - 277474*l for c. 1 Solve -9*o = -6*d - d + 4*d + 102, -d - 5*o + 26 = 0 for d. 31 Solve -b - 2*w = 172 - 228, -184*b - 94 = -175*b - 5*w for b. 4 Solve 210 = -2*a + 5*v, -3*a - 6269*v = -6214*v - 2310 for a. 0 Solve -11*v + 118 = 3*k, 2768 = 5*k - 20*v + 2993 for k. -1 Solve 2*x + 1716*d - 8 = 1856*d, d - 16 = -4*x for x. 4 Solve 795*u + 2037 = 798*u + 30*x - 3*x, 20*x - 1495 = -5*u for u. -5 Solve 44 - 36 + 32 = 5*r + 4*k, 0 = -4*r - 9*k - 2*k + 149 for r. -4 Solve 31*i - 4*a + 558 = 0, -11276*i + 11271*i - a - 90 = 0 for i. -18 Solve 5*a = -3*c - 567 - 662 + 1167, a + 14 = 4*c - 2*a for c. -4 Solve 41*k = -5*p + 13*k - 56, -341*k + 338*k = -3*p + 6 for p. 0 Solve 27*a - 454*c + 451*c = -25*a + 65, 2*c - 34 = -4*a for a. 2 Solve 4*r + 64 - 266 = r + b, 1049 = -113*r - 3*b + 8495 for r. 66 Solve 4 = -o + 5*m, -2*o + 300*m - 20 = 284*m for o. 6 Solve a - 3*a + 2*n + 104 = 0, -a - 66*n + 61*n - 236 = 0 for a. 4 Solve -6*q = 3*p + 17 - 233, -16*q = q + p + 4*p - 612 for q. 36 Solve -4*o + g + 8 = 0, 0 = 6189*o - 6194*o - g - 8 for o. 0 Solve 3*a - 414 + 42 = 7*u, 0*a - 2*a = 2*u - 3*a + 106 for u. -54 Solve 0*a - 3*a - 18 = -3*r, 5*a + 5*r + 61 = 217 - 86 for a. 4 Solve 8*h + 2*q + q - 46040 = -46018, 2 = -6*q + 3*q - 16 for h. 5 Solve 4*r + 25*y = 13*y + 8*y, -4*r + 5*y - 2*y - 30 = -r for r. -5 Solve 5*y + 5*i - 25 = 0, y + 6*i - 2017 = -1992 for y. 1 Solve 0 = -4*g + 5*j + 5, 7*g - g + 3*j + 58 = 97 - 0 for g. 5 Solve -4*n - a - 4379 + 4353 = 0, 36*a = -504 for n. -3 Solve 28 = -4*j, -4*j - 192 = 2*i - 174 for i. 5 Solve -2*c - 3*c = -25, 11*b - 56 = 2*b + 3*c + 2*c for b. 9 Solve 79 = 4*s - 6*t - 0*t - 5*t, -s - 5*t = 19 for s. 6 Solve -2*m - 1541 = -42*k - 1765, 5*k + 4*m - 3 = 0 for k. -5 Solve 5 = x - a, a - 5400 = -x - 5405 for x. 0 Solve -5*p + 3*h + 5 = 0, -2050 = 5*p - 11*h - 2055 for p. 1 Solve -h - 4*n = -3*h + 28 - 72, 4*n - 32 = -h for h. -4 Solve -115 = -3137*y + 3141*y + o, 17*o - 162 = 5*y for y. -29 Solve -3*y - 29*h = -25*h + 5, 17 = 7*y - 5*h for y. 1 Solve 0*r = -5*r + 6*t - 5*t + 25, 777 = -3*r + 159*t for r. 6 Solve -5*q - 2459 = 3*l - 2348, -9*q - 3*l - 111 = 0 for q. 0 Solve 69 = -28*y + x, -4*y = 76*x - 75*x - 5 for y. -2 Solve -3*j = 4*c + 24, 11*j + 719 = -9*c + 648 for j. -4 Solve l = 13*c - 160 - 6, 6*c - 39 = 3*c for l. 3 Solve -2*m + 22 = -4*l, 3*l - m + 8545 = -0*l + m + 8529 for l. -6 Solve -15 = -4*n + 3*d, -5*n + 118 + 70 - 302 = 11*d for n. -3 Solve 353*r = 349*r + 10*h + 308, -2*r - h - 2*h - 102 = 0 for r. -3 Solve 0 = -4*k + 2*i + 18, -73*k - 18 = -74*k - 6*i - 7 for k. 5 Solve 1499 = -4*y - 4*f + 1623, -3*y - 37 = -2*f + 38 - 18 for y. 1 Solve i - 7 + 39 = -0*i - 3*i + 4*h, 132 = -12*i + 3*h for i. -12 Solve -107952*q = -107954*q + 6*h + 6 + 2 - 0, -16 = 3*q - 2*h for q. -8 Solve -2*p - 51 = p - 3*c, -44381*p - 7*c = -44376*p + 70 + 51 for p. -20 Solve -b - 8 = -5*w + 30, 13*b + 11*w = -11*w + 115 for b. -3 Solve 3*y + 11 - 12 = -2*p, -24 - 17 = -8*p - 49*y for p. -1 Solve -9285*z - 5*w = -4643*z - 4638*z - 7 - 6, 0*w - 3*w + 1 = -z for z. 2 Solve -3*r = r + 5*k + 8, -5*r + 827 = -0*k - 3*k + 800 for r. 3 Solve 90 = -2*h + y, h + 7*y - 41556 = -41601 for h. -45 Solve w - 4*r - 200 = -184, 0 = 95*w - r - 383 for w. 4 Solve 2*i - 70*y + 65*y = 15 + 15, 2*y = -258*i - 115*i + 1857 for i. 5 Solve 3*g - 16 = -p, 5*p + 5*g - 24 = 5*p + p for p. 1 Solve 7*q - 5*u = 123, 4*q - 82 = -84*u + 81*u for q. 19 Solve 0 = 11*y - 3*o - 23, 2*y + 14*o - 40 + 58 = 9*o for y. 1 Solve 80*t + 18 - 126 = -6*a + 83*t, -5*t = -a for a. 20 Solve -19*x - 77 = -7*x + a, -3*x - a - 2697 + 2710 = -6*x for x. -6 Solve -145*a + 2*s = -143*a - 30, -3*s + 27 = 3*a for a. 12 Solve 0 = 14*x - 3*x + 23*u - 262, 0 = 2*x - 36683*u + 36686*u - 37 for x. 5 Solve -2*n + 4*n + 670 = 4*d + 686, -44*n = 5*d - 352 for n. 8 Solve -47*k + 135 = -16*k - 79*k + f, 2*k = 4*f + 220 for k. -4 Solve 3*h - 122 = 19*r, -11365*r + 11362*r - 5*h + 30 = 0 for r. -5 Solve 5*f - 8*g + 2*g + 4*g = -6*g - 11, 0 = -15*f + 5*g - 50 for f. -3 Solve 0*j = -j - 1, -122 = 83*w - 80*w - 4*j for w. -42 Solve 218 = -4*x + 9*a + 4*a, 16 = -x + 5*a - 70 for x. 4 Solve -51 = -2*v + 5*b, 28 + 8 = b - 5*b for v. 3 Solve -3*u + 13 = 2*x, 2*x - 139249*u + 42 = -139241*u for x. -1 Solve -61 = 5*l + 5233*g - 5236*g, -3*g = -l -
{ "pile_set_name": "DM Mathematics" }
(e) 7 (f) -0.02 (g) -3/7 a Which is the fourth smallest value? (a) 0.5 (b) -5/2 (c) -1.7 (d) 1572167 (e) 1/7 a Which is the second biggest value? (a) -2/9 (b) -14 (c) 1 (d) 230574 c What is the second smallest value in -3, -0.2, 0.2, -878914, 3? -3 What is the fourth biggest value in 0.1, 385, 0.4, -1, 5? 0.1 Which is the third biggest value? (a) 3 (b) 0.4 (c) 1/54 (d) 2 (e) 2/3 (f) -7 (g) -0.1 e What is the second biggest value in 2/3, -28, -4666/3, -1/5? -1/5 What is the smallest value in -27, 8, 2/207, 1, -1/5, 4, 5? -27 What is the seventh smallest value in -0.02, -2, 2, -5, -4, -2/3, -0.029? 2 Which is the fourth smallest value? (a) 0.062 (b) -57 (c) 92 (d) 16 c Which is the third biggest value? (a) 8 (b) -0.3 (c) -172/9959 b Which is the second biggest value? (a) 0.4 (b) -2/31 (c) 1757 (d) -0.1 a What is the smallest value in 3, 1, -81614, 9? -81614 Which is the second smallest value? (a) -67857 (b) 0.1 (c) -3 c Which is the second biggest value? (a) 0 (b) 4/5 (c) -442/49 (d) 5 (e) 0.4 (f) -0.7 (g) 3/4 b Which is the smallest value? (a) -1/1748 (b) -2 (c) -5 (d) 3 (e) 3/8 (f) -2/7 c Which is the third smallest value? (a) 21.948 (b) 2/11 (c) -6/451 a Which is the biggest value? (a) -680 (b) 15 (c) -2/67 (d) -15 b What is the second biggest value in 58, 4, 4/7, 0.4, -3/5, -84? 4 What is the sixth biggest value in -1, 0.2, 49/2, -3, -13, -2242? -2242 Which is the third smallest value? (a) 13 (b) -1/9 (c) 4/3 (d) 1701 (e) -0.2 c What is the seventh biggest value in -0.3, 1/7, 2/15, 1/4, -1/207, -0.0693, -5? -5 Which is the fourth smallest value? (a) 0.2 (b) -4 (c) -18792 (d) -6.9 a Which is the third biggest value? (a) -0.1 (b) 3 (c) -1 (d) 0.27 (e) -3.4 (f) -8872 a What is the smallest value in 172.71, 0.1, -0.4? -0.4 Which is the third smallest value? (a) 0.408 (b) -0.5 (c) 0.3 (d) -4421 c What is the fourth biggest value in 0.01, 24.63, 0.04, 2, -0.1, 1/3? 0.04 Which is the fourth biggest value? (a) 2 (b) -4 (c) -2/15 (d) -0.03355 (e) 0 (f) -7 c Which is the sixth biggest value? (a) 0.5 (b) -0.1 (c) -0.3 (d) -0.4 (e) 2/7 (f) -26 (g) -34 f What is the fourth biggest value in 0.2, -3.6, -1/4, -3, -333, 5, 3? -1/4 Which is the second biggest value? (a) -39 (b) -157 (c) 16/11 (d) -1.4 d Which is the third biggest value? (a) 0.4 (b) -3 (c) -0.029 (d) 520.7 (e) 4/9 a Which is the second biggest value? (a) 3 (b) -2/13 (c) 1.52 (d) 2/11 (e) 5 (f) -2 (g) 1/479 a Which is the seventh biggest value? (a) 0.0607 (b) -2 (c) 16 (d) -5 (e) 0.5 (f) -0.2 (g) -1/2 d What is the third biggest value in -0.98, 0.2, 3/4, 1105? 0.2 Which is the biggest value? (a) -0.3 (b) -2/57 (c) -4 (d) 0.4 (e) 2 (f) 27 (g) -1/5 f What is the second biggest value in -5, -0.346, 147? -0.346 Which is the fifth biggest value? (a) -5 (b) -14 (c) 89 (d) 1155 (e) 2 (f) 0 a Which is the fourth smallest value? (a) -2/5 (b) 2 (c) 462 (d) 189 c What is the third smallest value in 0.5, 5, -1/453780? 5 What is the smallest value in 2, -15, -2/3, -41.13, 3, -0.55? -41.13 What is the second biggest value in 2.5, 59, -11.042? 2.5 What is the second biggest value in 2, -1/41, 335988? 2 Which is the third smallest value? (a) -0.8 (b) 1/3 (c) -1/6 (d) 1/1026 d What is the third biggest value in 0.4, -2/7463, -91? -91 Which is the third smallest value? (a) -63 (b) 8 (c) -1/5 (d) 13 (e) 0 (f) 39 e What is the second smallest value in -1, 47339, -151? -1 What is the fourth biggest value in 1, -14716/7, 11/3, 37? -14716/7 What is the sixth biggest value in -5, 2/15, 1, -551/21, 2, 1/4, -2.7? -5 What is the fifth biggest value in 0.3, -27, -9, -69, -342? -342 Which is the third smallest value? (a) 2/63 (b) -34.3 (c) -0.5 (d) -4 (e) 3 (f) 15 (g) 2 c Which is the fifth biggest value? (a) -2 (b) -3 (c) -0.7 (d) 1 (e) 16 (f) 662 a Which is the second biggest value? (a) -2/31 (b) 0.2 (c) 2379/2 (d) -1 b Which is the third smallest value? (a) 0.03385 (b) 13.7 (c) -0.1 b Which is the fourth biggest value? (a) -2 (b) -13/3 (c) 0.14 (d) -1 (e) -45/8 (f) 6 a Which is the second smallest value? (a) -3/2 (b) -17 (c) -0.49 (d) -40/11 (e) 5/2 d Which is the second smallest value? (a) 0.4 (b) -0.2 (c) 11/2 (d) 0.5 (e) 2/7 (f) -5/111 f Which is the third biggest value? (a) 1/3 (b) -2 (c) 2040 (d) -7737 b Which is the second biggest value? (a) -3/4 (b) 1/8 (c) -1 (d) -1/169 (e) -0.2 (f) -32 (g) 6 b What is the fourth smallest value in -13, -0.1, 63/34, -0.005? 63/34 Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 106 (d) 1 (e) -7 (f) -2/15 (g) -2/77 g What is the biggest value in -847967, 0.2, 5? 5 What is the fourth smallest value in 1095, -2, 3, 9, -0.2, 1.5? 3 Which is the smallest value? (a) -3 (b) 233.39 (c) -0.06 (d) -5 (e) -2 (f) -67 f Which is the biggest value? (a) 1 (b) 5 (c) 2007802 (d) 4 c What is the third biggest value in -8/172533, 1/3, 0.1, 2/7? 0.1 Which is the fifth smallest value? (a) -1/3 (b) -3 (c) 1 (d) 0.4 (e) 842504 e Which is the second biggest value? (a) -288 (b) -645/4 (c) -4 b What is the second biggest value in 93323/2, 1, -39, 5? 5 What is the third smallest value in -1/804, 0.1, -300, -11? -1/804 Which is the second biggest value? (a) 3 (b) 135797.4 (c) -5 a Which is the third smallest value? (a) -0.366 (b) -0.5 (c) 1.4 (d) -22 a What is the second smallest value in -710, 1, 2, 1103/5? 1 Which is the fourth biggest value? (a) 221 (b) -2/195 (c) -6 (d) 29 c Which is the fourth biggest value? (a) 8 (b) -4 (c) -0.2 (d) -2 (e) -6/7 (f) 0.0026 (g) -1.8 e Which is the third smallest value? (a) 193 (b) 221 (c) -96 (d) -2/5 a What is the third smallest value in -0.113, 7621, 3/10? 7621 Which is the sixth biggest value? (a) 0.5 (b) -105 (c) -0.5 (d) 701 (e) 4 (f) -0.14 b What is the third smallest value in 0.63, 0.1, -4, 5, -1, 1.5, -2? -1 Which is the smallest value? (a) -46 (b) -2/13 (c) 0.16063 (d) -18 a What is the fourth biggest value in -10, -2, 0.3, 9/5, -0.02, 18? -0.02 What is the fourth smallest value in -97, -0.2, 3, 9295? 9295 Which is the fifth biggest value? (a) -1 (b) 0.031 (c) 1/6 (d) -43 (e) 1 (f) -2 f Which is the fourth biggest value? (a) 0 (b) 2 (c) -0.5 (d) 118220 c What is the fifth biggest value in 3, -5, 5.9, 0.6, -3, 1/46, -122? -3 Which is the third smallest value? (a) 0.35 (b) 5 (c) -286 (d) 0.1 (e) -315 d Which is the sixth biggest value? (a) 19 (b) -4 (c) -0.24 (d) 5 (e) 0.4 (f) -56/9 f Which is the seventh smallest value? (a) -10 (b) 11 (c) -0.5 (d) -2 (e) -0.4 (f) -12 (g) -0.09 b What is the seventh biggest value in -2, -3/8, 2, -3.21, -0.5, 1/5, -7? -7 What is the third biggest value in 0, 1147568, 3, -1/2? 0 What is the seventh biggest value in 6/13, 8, -0.3, 1, 5, -0.082, 0? -0.3 What is the second smallest value in -1/3, 2/7, 84, -0.1, 2, 32230? -0.1 Which is the sixth biggest value? (a) 0 (b) -0.02 (c) 3/8 (d) 1/3 (e) -0.476 (f) 40 e Which is the second biggest value? (a) 0 (b) -90 (c) 4470 (d) -0.5 (e) -0.4 (f) 2 (g) 5/6 f Which is the fifth smallest value? (a) -3/2 (b) 2/17 (c) -11 (d) -0.5 (e) -33 (f) 0.5 (g) -6 d What is the biggest value in 2/163, 19, 897, 11? 897 What is the fourth smallest value in 12, -2, -56/111, -2/19? 12 What is the biggest value in 0, 7, -2/47, 2/47, -10? 7 What is the biggest value in -0.3, 3, 8/7, 8/219, 1/4, 1/3? 3 What is the seventh smallest value in -5, 3, -1.89, 5/204, 0.4, 1, 2? 3 Which is the biggest value? (a) -964 (b) -7 (c) -3 (d) 0.066 d What is the seventh smallest value in 0.1, -2, 412, -1, 4, 2/23, 2/9? 412 What is the biggest value in 0, 72955, -14, -5? 72955 Which is the third smallest value? (a) -811 (b) 3 (c) -10772 b What is the biggest value in 13/193, -5, 1/3, -3? 1/3 Which is the second biggest value? (a) -0.34 (b) 4 (c) -0.01325 (d) -48 (e) 0.1 e What is the second smallest value in -3/16, 0, -7, 0.056, 1, -0.2? -0.2 What is the fifth smallest value in 0.06, -728, 1, -159/7, -0.4, 4/7? 4/7 What is the third smallest value in -1/4, -2, 4/3489, 2.714? 4/3489 Which is the biggest value? (a) -3 (b) 5
{ "pile_set_name": "DM Mathematics" }
root of 250899 to the nearest integer? 6 What is 876649 to the power of 1/2, to the nearest integer? 936 What is the cube root of 275555 to the nearest integer? 65 What is 1995704 to the power of 1/2, to the nearest integer? 1413 What is the third root of 21185515 to the nearest integer? 277 What is 671626 to the power of 1/2, to the nearest integer? 820 What is 52221 to the power of 1/9, to the nearest integer? 3 What is 11851660 to the power of 1/2, to the nearest integer? 3443 What is the fourth root of 1569775 to the nearest integer? 35 What is the square root of 20836714 to the nearest integer? 4565 What is the ninth root of 274298 to the nearest integer? 4 What is 216186 to the power of 1/9, to the nearest integer? 4 What is 6105686 to the power of 1/8, to the nearest integer? 7 What is 599432 to the power of 1/7, to the nearest integer? 7 What is the fourth root of 328855 to the nearest integer? 24 What is 163457 to the power of 1/2, to the nearest integer? 404 What is the sixth root of 1434336 to the nearest integer? 11 What is the square root of 694704 to the nearest integer? 833 What is the fifth root of 8991636 to the nearest integer? 25 What is the square root of 446743 to the nearest integer? 668 What is 245374 to the power of 1/3, to the nearest integer? 63 What is the seventh root of 33846 to the nearest integer? 4 What is 715350 to the power of 1/2, to the nearest integer? 846 What is the tenth root of 843338 to the nearest integer? 4 What is 1203581 to the power of 1/2, to the nearest integer? 1097 What is 32112 to the power of 1/5, to the nearest integer? 8 What is the seventh root of 50187 to the nearest integer? 5 What is the square root of 1483642 to the nearest integer? 1218 What is the third root of 351731 to the nearest integer? 71 What is 5750745 to the power of 1/8, to the nearest integer? 7 What is 35480032 to the power of 1/9, to the nearest integer? 7 What is the cube root of 315509 to the nearest integer? 68 What is 130681 to the power of 1/9, to the nearest integer? 4 What is 5521488 to the power of 1/10, to the nearest integer? 5 What is the fourth root of 225347 to the nearest integer? 22 What is 99546 to the power of 1/5, to the nearest integer? 10 What is the seventh root of 295463 to the nearest integer? 6 What is the square root of 555079 to the nearest integer? 745 What is 197033 to the power of 1/9, to the nearest integer? 4 What is 1188740 to the power of 1/3, to the nearest integer? 106 What is the third root of 2338876 to the nearest integer? 133 What is 783762 to the power of 1/5, to the nearest integer? 15 What is the third root of 26502 to the nearest integer? 30 What is the cube root of 540494 to the nearest integer? 81 What is the square root of 87961 to the nearest integer? 297 What is the square root of 3704123 to the nearest integer? 1925 What is 226037 to the power of 1/2, to the nearest integer? 475 What is 3181403 to the power of 1/2, to the nearest integer? 1784 What is 3671621 to the power of 1/2, to the nearest integer? 1916 What is the square root of 118080 to the nearest integer? 344 What is 170362 to the power of 1/2, to the nearest integer? 413 What is the tenth root of 9279019 to the nearest integer? 5 What is the cube root of 3038535 to the nearest integer? 145 What is the third root of 225545 to the nearest integer? 61 What is the square root of 12362703 to the nearest integer? 3516 What is the square root of 281376 to the nearest integer? 530 What is 34143732 to the power of 1/3, to the nearest integer? 324 What is the cube root of 11039 to the nearest integer? 22 What is the fourth root of 21339 to the nearest integer? 12 What is 19457793 to the power of 1/2, to the nearest integer? 4411 What is the fifth root of 3004257 to the nearest integer? 20 What is 2958287 to the power of 1/2, to the nearest integer? 1720 What is the cube root of 2450256 to the nearest integer? 135 What is the tenth root of 4597395 to the nearest integer? 5 What is 231287 to the power of 1/3, to the nearest integer? 61 What is 31780580 to the power of 1/5, to the nearest integer? 32 What is the cube root of 2847053 to the nearest integer? 142 What is 783419 to the power of 1/2, to the nearest integer? 885 What is the cube root of 4867775 to the nearest integer? 169 What is the fourth root of 1056655 to the nearest integer? 32 What is the tenth root of 30619332 to the nearest integer? 6 What is 9905305 to the power of 1/3, to the nearest integer? 215 What is the cube root of 5716090 to the nearest integer? 179 What is 8127 to the power of 1/2, to the nearest integer? 90 What is the third root of 8541 to the nearest integer? 20 What is the seventh root of 13352755 to the nearest integer? 10 What is the eighth root of 1627676 to the nearest integer? 6 What is 368829 to the power of 1/8, to the nearest integer? 5 What is the seventh root of 1425426 to the nearest integer? 8 What is 85276 to the power of 1/6, to the nearest integer? 7 What is 273836 to the power of 1/10, to the nearest integer? 3 What is 142183 to the power of 1/5, to the nearest integer? 11 What is 5605061 to the power of 1/8, to the nearest integer? 7 What is the third root of 263652 to the nearest integer? 64 What is the tenth root of 5677763 to the nearest integer? 5 What is the fifth root of 1654123 to the nearest integer? 18 What is 21905064 to the power of 1/6, to the nearest integer? 17 What is the cube root of 1441683 to the nearest integer? 113 What is the third root of 3772596 to the nearest integer? 156 What is 2523403 to the power of 1/2, to the nearest integer? 1589 What is the square root of 3018355 to the nearest integer? 1737 What is the cube root of 777953 to the nearest integer? 92 What is 1465685 to the power of 1/3, to the nearest integer? 114 What is 5093422 to the power of 1/2, to the nearest integer? 2257 What is the third root of 2120698 to the nearest integer? 128 What is 1860250 to the power of 1/3, to the nearest integer? 123 What is the cube root of 2552017 to the nearest integer? 137 What is the sixth root of 817240 to the nearest integer? 10 What is the third root of 117395 to the nearest integer? 49 What is 532013 to the power of 1/3, to the nearest integer? 81 What is the third root of 7358142 to the nearest integer? 195 What is 782439 to the power of 1/5, to the nearest integer? 15 What is 1220639 to the power of 1/3, to the nearest integer? 107 What is 1545145 to the power of 1/3, to the nearest integer? 116 What is the third root of 970229 to the nearest integer? 99 What is the fifth root of 154779 to the nearest integer? 11 What is 53605 to the power of 1/6, to the nearest integer? 6 What is the square root of 205305 to the nearest integer? 453 What is 2341708 to the power of 1/2, to the nearest integer? 1530 What is 106003 to the power of 1/3, to the nearest integer? 47 What is 148034 to the power of 1/4, to the nearest integer? 20 What is the fifth root of 19638774 to the nearest integer? 29 What is 2517020 to the power of 1/3, to the nearest integer? 136 What is 1043017 to the power of 1/2, to the nearest integer? 1021 What is 1338511 to the power of 1/2, to the nearest integer? 1157 What is the square root of 13103364 to the nearest integer? 3620 What is the third root of 126847 to the nearest integer? 50 What is 342901 to the power of 1/5, to the nearest integer? 13 What is 204520 to the power of 1/2, to the nearest integer? 452 What is 20393551 to the power of 1/2, to the nearest integer? 4516 What is 284018 to the power of 1/3, to the nearest integer? 66 What is 337064 to the power of 1/6, to the nearest integer? 8 What is 20612538 to the power of 1/6, to the nearest integer? 17 What is 13062052 to the power of 1/10, to the nearest integer? 5 What is the square root of 1005233 to the nearest integer? 1003 What is the square root of 132371 to the nearest integer? 364 What is the sixth root of 566649 to the nearest integer? 9 What is the square root of 3717766 to the nearest integer? 1928 What is 980988 to the power of 1/2, to the nearest integer? 990 What is 158303 to the power of 1/3, to the nearest integer? 54 What is 153901 to the power of 1/7, to the nearest integer? 6 What is 6140364 to the p
{ "pile_set_name": "DM Mathematics" }
7, q, 0.5, 0.4 in ascending order. 0.4, 0.5, 6/7, q Suppose 0 = -5*g - 98 - 357. Let s = g - -77. Let n be s*(-2)/(-4)*(-2)/7. Put n, -4, -6 in descending order. n, -4, -6 Suppose 0 = 2*g + 74*h - 69*h + 7, 2*g + 6 = -4*h. Sort g, -216, 1/2, 2 in descending order. 2, 1/2, g, -216 Let o(j) = 2*j**3 + 3*j**2 + 2*j. Let k be o(-1). Let l = -1028 + 1028.5. Sort k, l, -3.3. -3.3, k, l Let a be 46/(-46) - (-16)/22. Put a, -1/9, -6, 4 in increasing order. -6, a, -1/9, 4 Let o = -80 + 7. Let i = 73.5 + o. Let k = 0.1 + 0.2. Put k, 5, 2, i in descending order. 5, 2, i, k Let h = 216 - 1509/7. Let i = -2.05 - 0.25. Let o = i - -2.4. Put o, -0.1, h in descending order. h, o, -0.1 Let o be 0/(-2)*-1 - (-5 - -2). Suppose -o = 3*u - 9. Suppose 0 = -7*d + u*d + 15. Sort 2, d, -4 in ascending order. -4, 2, d Let u(r) = -737*r + 369*r + 0 + 371*r + 17. Suppose -q = 2*q + 12. Let k be u(q). Put -4, k, -3 in decreasing order. k, -3, -4 Let s = -48 + 76. Let d be s/7 - (0 + 6). Let r be (-4)/(-14) + (548/(-56) - -9). Put 0.5, r, d in decreasing order. 0.5, r, d Let f = 53 - 50. Let n be 30/f + -13 + 7. Suppose 0*r + 4*r + 16 = 0. Put 5, n, r, 2 in descending order. 5, n, 2, r Let h be (-12)/15 + 261/45 + -5 + 5. Sort 0.4, h, -0.5, -5, -1/15 in ascending order. -5, -0.5, -1/15, 0.4, h Let t(r) = 150*r - 3600. Let b be t(24). Sort b, -5, 5 in decreasing order. 5, b, -5 Let x be 3 + (3/6)/(3/6). Let v = -34 + 41. Suppose h - 3*f + v + 20 = 0, -16 = -x*f. Put 0, h, -1 in decreasing order. 0, -1, h Suppose 399*i - 555*i + 329*i = -39963. Sort -5, 1, -3, i. i, -5, -3, 1 Suppose -4*p + 3*x = 19, -p + x = 4*p + 21. Let t = 8 + -16. Let d = -724 - -725. Sort t, d, p. t, p, d Suppose 8*c + 49 = 5*m, 6*c + 22 = -2*m + 4*c. Sort 6, 9, m, -5 in increasing order. -5, m, 6, 9 Let q be (5/150)/(8/40). Sort 1/13, q, 0.8, -0.3 in decreasing order. 0.8, q, 1/13, -0.3 Suppose 3*v + 22 = 2*a, 4*v + 11 = 4*a - 25. Let q = -54 - -54.1. Sort a, q, 6 in ascending order. q, a, 6 Let b be ((-4)/(-6))/(208/(-48)). Let u = -985 - -988. Put -1.2, b, -4, u in descending order. u, b, -1.2, -4 Let j be ((-2)/(-10))/(28/210). Let v = -475.08 + 504. Let o = v - -0.08. Sort j, o, 1. 1, j, o Let p = -0.7197 - 612.5803. Let c = p + 613. Put c, -16, 4 in descending order. 4, c, -16 Suppose 8*l = 5 - 5. Suppose l*r + d + 38 = 5*r, r - 10 = -d. Sort -5, -1, r, 2. -5, -1, 2, r Suppose 51*r = 989 - 938. Put r, 0.136, -5, 0 in decreasing order. r, 0.136, 0, -5 Let y be -5*1157/1170*-3. Sort 5/3, 4, y. 5/3, 4, y Let f(b) = 20*b**2 - 7*b - 5. Let h be f(-1). Suppose 33*s = -4*i + 38*s - h, 4*s = 3*i + 16. Sort 3, -1, i in ascending order. i, -1, 3 Let w(k) = k**3 - 5*k**2 + 4*k. Let h be w(4). Let o be (5/(-3))/(4 - 26/6). Suppose -5*d + g - 30 + 6 = 0, o*g = 20. Put h, d, 2 in descending order. 2, h, d Suppose 1277*w = 1253*w + 48. Suppose 4*g = -3*k, 2*g + 2 = -2*k - 0. Sort w, -0.5, 14, g in increasing order. -0.5, w, g, 14 Let f = -2 - -1. Let s = -72 + 155. Let w = s + -83.3. Sort f, w, -4/5. f, -4/5, w Let a(q) = q - 25. Let u be a(50). Put 2, 4, -1, 3, u in descending order. u, 4, 3, 2, -1 Suppose -2*b + 0*b + 2*r = -4, 3*r + 12 = 0. Suppose 0 = c + 5*y - 120, -4*y - 4 = 8. Let j be c/(-117) + (-6)/(-195)*5. Sort b, j, -5 in decreasing order. j, b, -5 Let j be 11/(-33) - 2/3. Let b = 5 - 18. Let g = b - -16. Put -63, g, j in increasing order. -63, j, g Suppose -u = u - 4. Let p be (u/14)/((-336)/392). Sort -0.02, p, -1/10 in decreasing order. -0.02, -1/10, p Let m(i) = -19*i**2 - 6. Let f be m(3). Let a be f/(-15) + ((-12)/15 - -1). Let x be (0 - a/(-3)) + -4. Sort -3, -1, x in descending order. x, -1, -3 Let w = 0.0381 + 3.9619. Sort w, 0.703, -0.4 in ascending order. -0.4, 0.703, w Let g = 15 + -19. Let y = -2390 - -2393. Sort g, 14.1, y in ascending order. g, y, 14.1 Let w = 43623/104 + -5448/13. Let v(r) = -r**3 - 5*r**2 + r + 4. Let d be v(-5). Sort -82, d, w in descending order. w, d, -82 Let z be (-20 + 19)*(-4 + 5)*-1. Sort 5, -44, 4, z. -44, z, 4, 5 Let x = -19 - -23. Suppose -x*u + 19 + 17 = 0. Suppose 2 = u*a + 38. Sort 4, 1, a in decreasing order. 4, 1, a Let f = -0.4272 + 0.0272. Let r be -4 - (2 + -2) - 10/(-5). Sort f, -1/4, r, 0.2 in ascending order. r, f, -1/4, 0.2 Suppose 0 = 60*d - 52*d + 120. Let h be (2/d*-3)/((-8)/(-680)). Sort h, -1/4, -2/19 in decreasing order. h, -2/19, -1/4 Suppose 4*k - 3*k = 3*d - 25, -4*d = -5*k - 37. Let q be (-4)/d - (41/2)/(-1). Suppose 0 = 17*j - q*j + 3. Put 5, j, -2 in descending order. 5, j, -2 Let i = 256 - 257. Let x = -9 + 9. Suppose 2*p = 3*c + 1, -3*p + 8 = -x*c + 2*c. Sort c, 3, i, 2. i, c, 2, 3 Let t = -0.24 - 11.76. Let d = -382.9864 + -0.0136. Let k = -386 - d. Put 2, -1, t, k in decreasing order. 2, -1, k, t Suppose 0 = -4*c + 3*f - 134 + 157, -5 = 5*f. Put -1, 2, 1, -253, c in increasing order. -253, -1, 1, 2, c Let z be 322/(-98) - 14/(-49). Let g be (2 - 2) + 6/9. Sort 6, z, 3, g in decreasing order. 6, 3, g, z Let i(s) = 238*s + 4764. Let k be i(-20). Let v(q) = q - 2. Let h be v(0). Put h, 14, k in increasing order. h, k, 14 Let v = -5660.2 + 5660. Put 1/10, -0.4, v, -0.9, 2/11 in descending order. 2/11, 1/10, v, -0.4, -0.9 Suppose -5*m + 416 = 251. Suppose m*l = 30*l + 15. Put 4, 3, l, 1 in decreasing order. l, 4, 3, 1 Suppose 21*f = -132978 - 17729 + 23531. Sort 2, f, -4. f, -4, 2 Let i(w) = -10 + 3*w + w**3 - 6*w - 6*w + 7*w**2. Let b be i(-8). Suppose -5*x + 0*m - 25 = -5*m, 4*x - 34 = -5*m. Sort x, b, 4 in descending order. 4, x, b Suppose 8431 = -14*z + 8361. Put z, 4, 5, -16 in decreasing order. 5, 4, z, -16 Let b = 6 + -3. Suppose 0*k = 2*k - 10. Let m be (-5)/(-2)*26/(-65). Sort k, m, b, -2 in increasing order. -2, m, b, k Suppose -119 = -5*t + j + 319, 0 = 4*j + 32. Sort -4, -1, -2, -8, t. -8, -4, -2, -1, t Let j = 743.42 - 747.42. Let o = -0.8 - -0.3. Sort 5/3, o, 1, j in ascending order. j, o, 1, 5/3 Let t = -11260 + 11262. Put 4, t, -142 in ascending order. -142, t, 4 Suppose -15*c = -16*c - 20*c. Let q(y) = -y**2 - 7*y - 6. Let b be q(-5). Sort c, b, 6 in descending order. 6, b, c Suppose 2*x - 9*m = -8*m + 1, -m - 2 = -3*x. Sort x, 980, -2, -4 in decreasing order. 980, x, -2, -4 Let s = -3.97538 + -0.02462. Put 0.4, 9, 0.5, 0.1, s in descending order. 9, 0.5, 0.4, 0.1, s Suppose -683*p + 586*p = 2813. Let y be ((-8)/6)/(2/(4 - -2)). Sort y, -5, p in ascending order. p, -5, y Let x = 8.9 - 9.3. Let t(b) = -6*b**2 + 70*b + 25. Let r be t(12). Put x, 12, -2, r in descending order. 12, r, x, -2 Let l = 10124 - 10128. Suppose -3*x + 6*x - 3 = 2*m, 0 = 3*m - 2*x - 8. Sort -5, l, m, -2 in decreasing order. m, -2, l, -5 Let b = 103 - 107.988. Let r = -2351.988 - -2352. Let c = r - b. Put 4, 2/7, 1, c in ascending order. 2/7, 1, 4, c Let k = -363/32 - -367/32. Let r = 1.2 - 0.2. Let n = r + -1. Put k, n, -0.1 in ascending order. -0.1, n, k Suppose -3*w + 20 = -2*p + p, -p = -4. Let i = 7 - w. Let c = -0.1457 + 0.2457. Sort c, i, 3, 19 in ascending order. i, c, 3, 19 Let h = 0.07 + -0.37. Let x = -144155/12 + 72079/6. Put -0.2, -0.5, x, h in descending order. x, -0.2, h, -0.5 Suppose -2*a = -3*u - 9, 5*u + 11 = -4. Let y be (5/(-10) - 1)*(-20)/6. Suppose 3*s = -4*r - a*s - y, 14 = -r - 5*s. Sort -8, -4, 5, r in decreasing order. 5, r, -4, -8 Suppose b + 4*g + 13 = 3, -3*b - 5*g = 9. Suppose -2 = b*u - 16. Suppose 0 = i - 5 + u. Sort -9, -1, i. -9, i, -1 Let d = 59.9 - 65.8. Sort -0.3, -2, 1/2, d in ascending order. d, -2, -0.3, 1/2 Let s = 9 + -5. Let h = 0.8333 - 0.8933. Sort h, s, 1, -0.01. h, -0.01, 1, s Let b = 0.64 + -31.64. Let v = 28 + b. Sort -0.78, -0.1, v. v, -0.78, -0.1 Let h = 25205.02 + -25205. Put h, -3/55, 0.4 in decreasing order. 0.4, h, -3/55 Suppose 7*n = 10*n. Let m be (-2)/(-6)*n + 0. Suppose 17*u - 18*u = -2*t - 6, -5*u + t = -12. Sort 25, u, m in descending order. 25, u, m Let v be (-1)/((-4)/(-36)*3). Let z = 44.84 - 44. Let k = z + -0.44. Sort v, k, 4 in decreasing order. 4, k, v Let s = 54 + -52. Suppose -5*k - 16 = n, -n + s*k = 1 - 6. Let u be ((-1)/(-2))/((-9)/(-30)). Sort u, n, -3. -3, n, u Let t(u) = -u**3 + 6*u**2 - 7*u + 7. Let r be t(5). Let v = -52 - -121. Suppose -65*k = -v*k - 28. Sort -4, k, r in decreasing order. r, -4, k Let w be (-2)/(-1) - (-119 + 1 - -1). Let t = w + -116. Let g = -9
{ "pile_set_name": "DM Mathematics" }
j = h + 42, 8*h = 4*j + f*h - 163. What is the units digit of j? 7 Let n = -61 + 65. Suppose 10 = 4*k - 2*k, -k - 279 = -n*g. What is the tens digit of g? 7 Suppose 5*s = 4*h + 1589 - 483, -h - 440 = -2*s. Let g = s + -143. What is the tens digit of g? 7 Let a be (-20 + 118)/((-1)/1). Let h = a - -173. What is the tens digit of h? 7 Suppose -4*m + 2*i - 12 = 0, 5*i - 12 = 2*i. Let u be 3 - (m - 4/2). Suppose 0 = 2*s + 5*p - u, 2*s - s = 4*p + 16. What is the units digit of s? 8 Let j = -1217 - -1931. What is the tens digit of j? 1 Let k(h) = -4*h - 1. Let m be k(0). Let y(f) = -219*f + 3. What is the hundreds digit of y(m)? 2 Suppose 5*v = 6*v + 15. Let d(q) = -q + 29. What is the units digit of d(v)? 4 Suppose -3*l = -2*w + 338, 195 - 26 = w + 4*l. Let t = 78 - w. What is the tens digit of (-4)/(-6) + t/(-3)? 3 Suppose -5*p + 2*v + 4110 = 0, -3*p + 5*v + 2216 + 231 = 0. What is the hundreds digit of p? 8 Let k = -821 + 1914. What is the thousands digit of k? 1 Let z = 9 + 5. Let f be (-4)/z - (-10)/35. Suppose 3*r - 8*r + 50 = f. What is the units digit of r? 0 Let l = -5815 - -8976. What is the units digit of l? 1 Suppose -5*k = -4 + 19. Let z(j) = -j**2 - 5*j - 6. Let l be z(k). Suppose 3*t - t - 58 = l. What is the tens digit of t? 2 Let f(m) = -2*m - 2. Let r be f(-2). Let w(b) = 4*b**2 + 19 - b**2 - 25 + b**r. What is the tens digit of w(3)? 3 Let q = 558 - 320. What is the units digit of q? 8 Suppose 4 = x - m, 2*x + 0*x = -2*m. What is the hundreds digit of (0 - (-15)/x)*(-40)/(-3)? 1 Suppose -12 = -j + 3*t, -5*j - 20*t + 27 = -24*t. Suppose 104 - 40 = p. What is the tens digit of (-36)/27 + p/j? 2 Suppose 3*z - z = 4*d + 156, 3*d = -z + 93. What is the tens digit of (-4 - -5) + 1 + z? 8 Let c(f) = -589*f**3 - 5*f - 4. What is the tens digit of c(-1)? 9 Suppose 4*n - 40 - 104 = 0. Let z be 8/12*n/8. Suppose -4*u + z*c + 117 = -2*u, 62 = u + 2*c. What is the tens digit of u? 6 Let r(w) be the second derivative of 1/6*w**4 + 4*w**2 + 11/6*w**3 + 0 + 8*w. What is the units digit of r(-9)? 1 Suppose 18*s = -18*s + 26748. What is the tens digit of s? 4 What is the tens digit of (-1299)/(-15) - 5*4/(-50)? 8 Suppose 17*p = 14*p + 2229. What is the units digit of p? 3 Let l(y) = -y**3 + 26*y**2 - y - 21. What is the thousands digit of l(18)? 2 Suppose -63751 = -41*x - 17298. What is the thousands digit of x? 1 Let m = 27 - 2. Suppose m = 3*t - 32. What is the tens digit of t? 1 Let q(c) = 2*c - 17. Let f be q(10). Suppose 4*a = f*a + 62. What is the tens digit of a? 6 Suppose 7*t - 199 = 123. What is the tens digit of (-66)/11*t/(-4)? 6 Suppose -j - 2*j = c - 58, 3*j + 3*c = 48. What is the tens digit of j? 2 Suppose 0 = 3*u + 4*t - 7*t - 405, t + 663 = 5*u. Let f = 258 - u. Suppose 4*l + f = 5*z, 2*z - l - 56 = 2*l. What is the units digit of z? 2 Suppose 4*r + 0*t = 3*t + 144, 0 = 2*r + 5*t - 98. Let v be -1*4/(-10) + (-70)/50. Let z = v + r. What is the units digit of z? 8 What is the tens digit of -5*(5 + -4)*-21? 0 Suppose -4*m + 577 = 3*j - 0*j, -3*m - 5*j + 419 = 0. What is the hundreds digit of m? 1 Let w(y) = 7*y**2 - 2*y - 1529. Let q(p) = 4*p**2 - p - 765. Let b(c) = -11*q(c) + 6*w(c). Let x be b(0). What is the units digit of 4/(-3)*x/22? 6 Suppose 6*c = -5*c + 33. What is the units digit of (-2 + c/2)/(1/(-66))? 3 Let a = 164 + -142. What is the tens digit of a? 2 Let x = -439 + 810. What is the units digit of x? 1 Suppose 5*p + 883 - 2297 = -w, 3*w - 294 = -p. Let i = p + -149. What is the tens digit of i? 3 Suppose -11*q = -9*q + 5*n - 505, -5*q + 1247 = -3*n. What is the tens digit of q? 5 Let i = 719 - 398. What is the hundreds digit of i? 3 Let b be (-4)/8*226*-5. Suppose 3*t = -2*t + b. Suppose 5*s - 5*f = 85, 5*s - 2*f + 25 = t. What is the tens digit of s? 1 Suppose -q = -5*m + 15, -2*q + 4*m + 9 = 7*m. Suppose q = -2*c - c. Suppose c*g - 4*g = -28. What is the units digit of g? 7 Let v(q) = -q - 2. Let i be v(-3). Suppose l - 6 = -i. Suppose 0 = -5*x - l*u + 40, 2*u = 5*x - 0*u - 75. What is the units digit of x? 3 Let l = -340 + 638. What is the units digit of l? 8 Let c = -2393 + 3372. What is the hundreds digit of c? 9 Let q(w) = -77*w + 159. What is the hundreds digit of q(-6)? 6 Let c be 16/88 - (-1842)/33. Suppose -22 + c = f. What is the tens digit of f? 3 What is the tens digit of (-9)/((-36)/3176) + 3 + -7? 9 What is the units digit of 2/(-6) + (-17948)/(-42)? 7 Suppose c + 7*a - 1981 = 3*a, 2026 = c - 5*a. What is the tens digit of c? 0 Let k(q) = -q**3 - 9*q**2 + 11*q + 10. Let h be k(-10). Suppose 5*t - 82 - 173 = h. Let j = -30 + t. What is the units digit of j? 1 Suppose -3 - 13 = -4*q. Suppose -858 = -5*v - q*u, 0*v - 3*v + 506 = -2*u. What is the tens digit of v? 7 Let k = 25 - 21. Suppose k*s = -31 - 5. Let f(j) = -j**2 - 14*j - 6. What is the units digit of f(s)? 9 Suppose -10 = -6*v + v. What is the units digit of 57 + (-2)/1 + v? 7 Let n be (-16)/(-6) - 8/(-24). Let t = 128 - n. Suppose g = 4*g + 3*f - 84, 0 = -5*g - 2*f + t. What is the units digit of g? 3 Suppose -3*b - 128 - 32 = -4*m, 5*m - 4*b = 200. What is the units digit of m? 0 Suppose 10*z - 91497 = -11*z. What is the tens digit of z? 5 Let j be (-16)/6*9/(-6). Suppose -j*s = -s - 138. Suppose -2*y + 5*y + p - s = 0, -5*y = -4*p - 88. What is the tens digit of y? 1 Let k be (54/21)/((-6)/(-56)). Let l = k - 23. What is the units digit of (11 - l)/5 - -66? 8 Let h = 549 + 7. What is the hundreds digit of h? 5 Suppose 8*x - 10*x = 2*n - 64, 5*n + 29 = 2*x. What is the tens digit of x? 2 Suppose 0 = p + 5, -4*l = 23*p - 27*p - 5724. What is the thousands digit of l? 1 Let m(l) = -l**2 - 2*l + 4. Let w be m(0). Suppose 4*c - w*z = z - 33, 0 = -3*c + z - 11. What is the tens digit of 4/(-8)*c + 11? 1 Suppose 0 = -643*j + 630*j + 30875. What is the tens digit of j? 7 Let l(k) = -23*k - 24. Let i be l(5). Let s = 196 + i. What is the units digit of s? 7 Let t(s) = 29*s + 23. Let m be t(13). What is the units digit of (-4)/(-3) + -1 + m/6? 7 Let d be (-4)/6*99/(-22). Suppose d*b = c + 32 + 75, 3*c + 173 = 5*b. What is the units digit of (-3)/9*(-2 - b)? 3 Suppose 0*o - f + 15 = -o, 8 = 2*f. Let z(a) = -a**2 - 11*a + 51. Let c be z(-16). Let w = o - c. What is the units digit of w? 8 What is the hundreds digit of 4606/(-21)*90/(-35)? 5 Let q = -2053 - -5506. What is the tens digit of q? 5 Suppose -v = v - 4. Suppose 0 = -4*w - 3*t, v*w = 4*w - 4*t - 22. Suppose -4*n - 5*j + 20 = 0, 2*j + 4 = w*n - 11. What is the units digit of n? 5 Suppose -j = -6 + 1. Suppose 2*c + 2*z - 12 = 0, -j*c - z - 3*z = -30. Suppose 2*n = -s + 16 + 13, s - 5*n = -c. What is the tens digit of s? 1 Let a be ((-6)/(-4))/((-1)/6). Let k(i) = i + 11. Let v be k(a). What is the tens digit of 10/(v/4 + 0)? 2 Let n(h) = 257*h**2 + 2*h + 1. Let a be n(-1). Suppose -12*k = -8*k - a. What is the tens digit of k? 6 Let s(k) = k + 2. Let g be s(5). Let q = g - 3. Suppose -7 = -q*x + 97. What is the units digit of x? 6 Suppose 3*r + 9904 = 2*t, r = 9*t - 7*t - 9904. What is the thousands digit of t? 4 Let w(f) = f + 12. Let b be w(-11). Let p be 2/b - (-16)/(-4). What is the units digit of (0 + 3)/(p/(-6))? 9 Suppose 4*s - 59 = -7. Let t = 13 + 0. Let k = t + s. What is the units digit of k? 6 Suppose -23 = -j - 0. Let v = 49 + -50. What is the units digit of (j - v - 0) + 1? 5 Let v(h) = h**3 - 5*h**2 - h - 6. Suppose 0 = r + 4*r - 30. Let f be 18/10*20/r. What is the tens digit of v(f)? 2 Let z(s) = 66*s**3 + 4*s**2 + 7*s - 9. Let a(j) = 33*j**3 + 2*j**2 + 4*j - 5. Let f(w) = 7*a(w) - 4*z(w). What is the units digit of f(-1)? 2 Let v = 22 + 148. What is the units digit of v? 0 Let j(s) = -23*s**3 - 1. Let i be j(-1). Suppose 0 = 5*g + 188 + i. What is the tens digit of 1 + -2 - (1 + g)? 4 Let f(y) = y**3 + 3*y**2 + 5*y - 1. Let w be f(-2). What is the hundreds digit of (-672)/w + (1 - -3)? 1 Let q = 24 - 15. Let z = 59 - q. What is the tens digit of z? 5 Let l = -669 + 1634. What is the units digit of l? 5 Let q(g) = -g**3 + 9*g**2 - 8*g + 7. Let n be q(8). Let w = n + -7. What is the units digit of (w + -9)/((-15)/50)? 0 Let c = -5639 - -8731. What is the hundreds digit of c? 0 Let w(p) = -p**2 - 10 + 21*p - 4 + 2 - 10*p. Let n be w(8). What is the units digit of (-15)/(-6)*n/10
{ "pile_set_name": "DM Mathematics" }
-11605, -17329, -23053, -28777? -34501 What is the next term in -87400, -87382, -87362, -87346, -87340, -87350, -87382, -87442? -87536 What is the next term in -2375, -8857, -15351, -21857, -28375? -34905 What is next in 922385, 922347, 922309, 922271, 922233? 922195 What comes next: -40723, -34110, -27497, -20884, -14271, -7658? -1045 What comes next: 5065135, 5065071, 5064963, 5064811, 5064615, 5064375? 5064091 What comes next: 1549243, 1549263, 1549273, 1549267, 1549239? 1549183 What is the next term in 3875629, 3875630, 3875631, 3875632, 3875633, 3875634? 3875635 What comes next: -140088, -140094, -140100, -140106, -140112? -140118 What is next in -3322, -6641, -9964, -13291? -16622 What is next in -312850, -312865, -312880, -312895? -312910 What comes next: -26404, -52924, -79504, -106174, -132964, -159904? -187024 What is next in 19000, 76133, 171410, 304837, 476420, 686165? 934078 What is the next term in 5730, 6019, 6308, 6597, 6886? 7175 What comes next: -2140, -7189, -15152, -26029, -39820, -56525, -76144? -98677 What comes next: -326772, -326979, -327186, -327393? -327600 What is next in 10676, 10726, 10772, 10814, 10852, 10886, 10916? 10942 What is the next term in 136358, 545444, 1227256, 2181794, 3409058, 4909048, 6681764? 8727206 What is next in 20953, 42975, 64997, 87019? 109041 What is the next term in 171373, 171594, 171815, 172036? 172257 What is the next term in 61460, 122791, 184010, 245117, 306112, 366995? 427766 What comes next: 2479, 2013, 753, -1697, -5733, -11751, -20147, -31317? -45657 What is the next term in 10994, 10022, 8402, 6134, 3218, -346? -4558 What comes next: 504, 251, -96, -543, -1096, -1761? -2544 What comes next: -95744095, -95744091, -95744087, -95744083, -95744079? -95744075 What comes next: -387185208, -387185212, -387185218, -387185226? -387185236 What comes next: 453, 1165, 1875, 2583, 3289, 3993? 4695 What is next in 4605, 4663, 4681, 4659, 4597, 4495? 4353 What is next in 72702304, 72702306, 72702308, 72702310, 72702312? 72702314 What comes next: 648983, 648999, 649017, 649037? 649059 What comes next: -1062740, -2125462, -3188184, -4250906? -5313628 What is next in -29956, -63973, -97990, -132007, -166024, -200041? -234058 What comes next: 27694, 109198, 245032, 435190, 679666? 978454 What comes next: -18157, -17022, -15129, -12472, -9045, -4842? 143 What is the next term in 249494, 997967, 2245412, 3991823, 6237194, 8981519, 12224792, 15967007? 20208158 What comes next: -474130, -474113, -474096, -474079, -474062? -474045 What is next in 1845382836, 1845382835, 1845382834, 1845382833, 1845382832, 1845382831? 1845382830 What is the next term in -6707, -53812, -181701, -430766, -841399, -1453992, -2308937? -3446626 What is the next term in -62244, -62195, -62050, -61767, -61304, -60619, -59670, -58415? -56812 What comes next: 536, 1978, 4110, 6710, 9556? 12426 What comes next: -12675, -50717, -114129, -202923, -317111? -456705 What is the next term in 65053487, 65053488, 65053489, 65053490, 65053491, 65053492? 65053493 What comes next: 420319024, 420319026, 420319028, 420319030, 420319032, 420319034? 420319036 What is next in 4700603, 4700603, 4700601, 4700597, 4700591? 4700583 What is the next term in -2029871, -4059690, -6089509, -8119328, -10149147, -12178966? -14208785 What is next in 5279006, 21115991, 47510966, 84463931? 131974886 What comes next: -7143, -28003, -62769, -111441, -174019, -250503, -340893? -445189 What is next in 352857, 705498, 1058139, 1410780, 1763421? 2116062 What is next in 404622, 809217, 1213812, 1618407, 2023002? 2427597 What comes next: 478544515, 478544517, 478544519? 478544521 What is the next term in 141925, 144895, 147865, 150835? 153805 What is the next term in 40237, 38889, 35225, 28087, 16317, -1243? -25751 What is next in -8290, -8305, -8320, -8329, -8326, -8305, -8260, -8185? -8074 What comes next: -10740, -21549, -32512, -43707, -55212, -67105, -79464, -92367? -105892 What comes next: -292947, -585878, -878809, -1171740? -1464671 What is the next term in 428248, 428228, 428196, 428152, 428096? 428028 What comes next: 405559, 811009, 1216459, 1621909? 2027359 What comes next: 4157, 8266, 12205, 15890, 19237, 22162, 24581? 26410 What is next in -43712, -44225, -44738, -45251? -45764 What is next in 3187, 3233, 3355, 3595, 3995, 4597? 5443 What is the next term in -160726, -321358, -481892, -642328? -802666 What is the next term in 2075, 16774, 41277, 75590, 119719, 173670, 237449, 311062? 394515 What comes next: -3266, -1357, 3814, 13879, 30470, 55219? 89758 What is the next term in 9362, 10287, 11212, 12137, 13062, 13987? 14912 What comes next: 1618, -9161, -44728, -117479, -239810, -424117, -682796? -1028243 What is the next term in 9554, 76565, 258514, 612875, 1197122, 2068729, 3285170? 4903919 What is next in -13915, -27698, -41355, -54892, -68315, -81630, -94843, -107960? -120987 What is next in 145205, 145121, 144983, 144791? 144545 What is next in -1476, -3192, -4880, -6540, -8172? -9776 What is the next term in -2310933, -2310941, -2310961, -2310999, -2311061? -2311153 What is the next term in -13179, -27053, -40921, -54783, -68639, -82489? -96333 What is next in 4509, 9052, 13627, 18234? 22873 What is the next term in -31466, -62730, -93990, -125252, -156522, -187806, -219110? -250440 What comes next: -5914, -23694, -53410, -95128, -148914? -214834 What comes next: 13615, 14199, 14783, 15367? 15951 What is the next term in 39236516, 156946077, 353128672, 627784295, 980912940, 1412514601, 1922589272, 2511136947? 3178157620 What is the next term in 4099, 17064, 38871, 69520, 109011, 157344, 214519? 280536 What is next in 13129, 54747, 124103, 221191, 346005, 498539, 678787, 886743? 1122401 What is next in -727868, -1455532, -2183196? -2910860 What is the next term in 4381, 55582, 194561, 465208, 911413? 1577066 What comes next: -3663, -393, 5055, 12681? 22485 What is next in 780917, 3123684, 7028295, 12494738, 19523001, 28113072? 38264939 What is the next term in -242563, -243539, -244515, -245491, -246467? -247443 What is the next term in 9715856, 19431712, 29147568, 38863424? 48579280 What comes next: 116, 357, 246, -637, -2712? -6399 What comes next: 17166029, 17166030, 17166031, 17166032, 17166033? 17166034 What is the next term in -1125382, -1125391, -1125402, -1125415, -1125430? -1125447 What comes next: -206853, -414425, -621995, -829563, -1037129, -1244693? -1452255 What comes next: 36796, 36877, 36958, 37039, 37120, 37201? 37282 What is next in 199, -69, -487, -1055, -1773, -2641? -3659 What is the next term in 1823367, 1823357, 1823347, 1823337, 1823327, 1823317? 1823307 What comes next: -123131, -246174, -369217, -492260, -615303, -738346? -861389 What is the next term in -18792407, -37584815, -56377223, -75169631? -93962039 What is the next term in -8510, -17346, -26426, -35750, -45318? -55130 What comes next: -2400811, -2400813, -2400817, -2400823, -2400831, -2400841? -2400853 What is the next term in -10944, -22033, -33354, -44919, -56740, -68829? -81198 What comes next: 2983, 6008, 8981, 11872, 14651, 17288, 19753? 22016 What is the next term in 126894, 126926, 126984, 127074, 127202, 127374? 127596 What is next in -26664581, -26664580, -26664579, -26664578, -26664577, -26664576? -26664575 What is the next term in -159823, -319675, -479481, -639217, -798859? -958383 What is next in 976056, 976034, 976014, 975996? 975980 What is the next term in -2448487, -2448484, -2448481, -2448478, -2448475? -2448472 What is the next term in -6171, -7523, -8877, -10233? -11591 What comes next: -767910, -1535860, -2303812, -3071766, -3839722, -4607680, -5375640? -6143602 What is next in 2275965, 2276116, 2276267? 2276418 What is the next term in 4422, 17651, 39682, 70515, 110150, 158587, 215826? 281867 What comes next: 14810869, 14810850, 14810805, 14810722, 14810589, 14810394, 14810125, 14809770? 14809317 What is next in 204818, 818236, 1840600, 3271910? 5112166 What is the next term in 22844, 91463, 205824, 365927, 571772, 823359? 1120688 What comes next: 693216, 693437, 693658, 693879, 694100, 694321? 694542 What comes next: -481, -1765, -5167, -11719, -22453, -38401? -60595 What comes next: -1569, -7441, -17221, -30897, -48457, -69889? -95181
{ "pile_set_name": "DM Mathematics" }
. Calculate q*k(t) + 6*a(t). 2*t - 1 Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g). 2*g**2 - 2*g + 2 Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a). -a**3 - a**2 + 4*a Let g(d) = -15*d - 1. Let k(j) = j**3 + 7*j**2 + 9*j - 4. Let i be k(-4). Let z(w) = 23*w + 2. Calculate i*g(q) + 5*z(q). -5*q + 2 Let s be (10 + -12 - (-2 - -4))/(-2) + 4. Let l(c) = 9*c - 5. Suppose 5 = -3*w + 2*w. Let d(n) = 10*n - 6. Give s*l(x) + w*d(x). 4*x Let v(o) = o**2 - 6. Let u(f) = -f**2 + 13*f + 6. Suppose -3*n + 40 = 4*x, n = 4*x - 5*x + 9. Let t be u(x). Let z(p) = -5*p**2 + 35. Give t*z(j) + 35*v(j). 5*j**2 Let k(n) = 7*n**2 + 7. Let u(r) = -14*r**2 - 15. Suppose -38*b - 145 = -639. Determine b*k(f) + 6*u(f). 7*f**2 + 1 Let y(o) = -o**3 - o**2 - o + 1. Let h(f) = 3*f**3 + 2*f**2 + 51*f. Determine h(x) + 2*y(x). x**3 + 49*x + 2 Let d(o) be the third derivative of -o**3 + 0 + 1/20*o**5 + 0*o**4 + 0*o + o**2. Let i(z) = -1 - z**2 - z**2 + 3*z**2. Calculate d(k) - 4*i(k). -k**2 - 2 Let i(k) be the first derivative of -k - 9. Let v(g) = -g**2 + 4*g + 1. Let t = 80 + -79. Give t*i(z) - v(z). z**2 - 4*z - 2 Let v(a) = 8*a + 39. Suppose 4*k = -l + 16, -12*l - 4 = -k - 8*l. Let d(g) = -3*g - 13. Calculate k*v(q) + 11*d(q). -q + 13 Let i = -6 - 0. Suppose 5 = -2*d + j + 8, 3*j + 13 = 2*d. Let o(b) = -1. Let n(f) = f + 6. Give d*n(w) + i*o(w). -w Let w(o) = -9*o + 6. Let q(z) = -z + 1. Let x(t) be the first derivative of -t**2/2 + 13*t - 7. Let p be x(7). What is p*q(y) - w(y)? 3*y Suppose 8 - 2 = -2*r. Let m(v) = 2*v**3 - 3*v**2 - v + 3. Let i(f) be the third derivative of -f**6/120 + f**5/60 - f**3/6 + 31*f**2. What is r*i(w) - m(w)? w**3 + w Let h(l) = -l + 17. Let n(y) = 0 + 7 - 6 + 5. What is 3*h(d) - 8*n(d)? -3*d + 3 Let x(k) = 89*k**3 - 3*k. Let d(q) = -90*q**3 + 4*q. Determine 3*d(o) + 4*x(o). 86*o**3 Let f(p) = -7*p + 7. Let i(b) = -1. Give 2*f(a) + 6*i(a). -14*a + 8 Let p(j) be the third derivative of 0*j - 1/12*j**4 + 10*j**2 - 5/6*j**3 + 0. Let y(q) = -6*q - 14. Let k = 2 - 6. What is k*y(z) + 11*p(z)? 2*z + 1 Let w(u) = u**2 + 3*u - 1. Let m(z) = 8*z**2 + 49*z - 8. Determine -m(h) + 6*w(h). -2*h**2 - 31*h + 2 Let w(x) = 3*x + 3*x**2 - 16*x + 3 + 4*x + 4*x. Let t(z) = 4*z**2 - 6*z + 3. Give -5*t(u) + 6*w(u). -2*u**2 + 3 Let z(v) = -25530*v**3 - 1265*v**2 - 1265*v - 1265. Let q(b) = 121*b**3 + 6*b**2 + 6*b + 6. Determine -1265*q(j) - 6*z(j). 115*j**3 Let k(d) = -2*d**2 + 150*d + 5. Let y(c) = -3*c**2 + 225*c + 7. Calculate 7*k(q) - 5*y(q). q**2 - 75*q Let h(c) = 5*c + 8. Let i(t) = -23 + t - 9 + 33. Determine -h(p) + 4*i(p). -p - 4 Let a(g) = 202*g**3 - 7*g**2 + 5*g + 28. Let k(t) = -303*t**3 + 11*t**2 - 8*t - 44. Calculate 8*a(n) + 5*k(n). 101*n**3 - n**2 + 4 Let v(n) = -4*n**3 - 7*n**2 + 6*n - 6. Let m(a) = a**3 + a**2 - a + 1. Let s = 1502 + -1508. Give s*m(j) - v(j). -2*j**3 + j**2 Let u(m) = 4*m - 7. Let p(v) = 18 + 2*v - 3*v - 17. Let w be (45/20)/((-30)/80). Give w*p(k) - u(k). 2*k + 1 Let t(k) = 1851*k + 14. Let u(x) = -463*x - 3. Give 4*t(v) + 18*u(v). -930*v + 2 Let l(u) = -356*u**2 - 12*u + 12. Let h(z) = 1069*z**2 + 34*z - 34. What is 6*h(p) + 17*l(p)? 362*p**2 Suppose 3*h + 1 = -8. Let y be -2 - ((-3)/6*0 + h). Let s(v) = 2*v**2 + 7*v - 5. Let i(z) = z**2 + z - 1. What is y*s(c) - 5*i(c)? -3*c**2 + 2*c Let f(z) be the third derivative of -z**6/30 + z**4/12 - z**2. Let t be ((80/2)/(-10))/(-2). Let v(m) = 5*m**3 - 3*m. Determine t*v(o) + 3*f(o). -2*o**3 Let t(a) = 48*a - 1. Let b(n) = 141*n - 3. Give -6*b(p) + 17*t(p). -30*p + 1 Let o(u) = 2*u**3 + 11*u**2 + 6*u - 8. Let w(x) = -3*x**3 - 23*x**2 - 13*x + 17. Let n(p) = -13*o(p) - 6*w(p). Let q(t) = t**3 + t**2. Calculate -n(f) - 4*q(f). 4*f**3 + f**2 - 2 Let w(a) = 220*a - 3. Let c(x) = 20240*x - 275. Calculate 3*c(t) - 275*w(t). 220*t Let o(n) = -n**3 - 3*n**2 - 3*n - 3. Let d(i) = i**3 + 3*i**2 + 4*i + 4. Let k = -407 - -410. Give k*d(l) + 4*o(l). -l**3 - 3*l**2 Let y(h) = 15 + 3*h**3 + 0 - 4 - 7 + 0*h**2 - 2*h**2. Let o(w) = 1. What is -4*o(b) + y(b)? 3*b**3 - 2*b**2 Let s(i) = 8*i + 4. Let u(f) = -f - 1. Let m be 13*(-2 + (5 - 6/3)). Suppose -5*r + 29 = 4, 0 = -3*b - r - m. What is b*u(t) - s(t)? -2*t + 2 Let h(z) = z**3 + z + 1. Let x(s) = -12*s**3 - 8*s + 4. What is 8*h(f) + x(f)? -4*f**3 + 12 Let w(y) = 85*y - 2. Let t(j) = -1. What is 4*t(m) - w(m)? -85*m - 2 Let t(d) = 3*d**3 + 6*d - 5. Let m = -314 - -313. Let n(x) = -x**3 - x + 1. Calculate m*t(r) - 6*n(r). 3*r**3 - 1 Let m(s) = 95*s + 4. Let i(l) = -190*l - 9. Calculate 2*i(j) + 5*m(j). 95*j + 2 Let d(g) = -g**3 - 5*g**2 + 3*g - 20. Let a be d(-6). Let x(y) = y**3 - y**2. Let n(p) = 4*p**3 - 5*p**2. Give a*n(u) + 10*x(u). 2*u**3 Let q(x) = x**3 + x**2 - 1. Let b(j) = -5*j**3 - 4*j**2 + j + 1. What is b(h) + 2*q(h)? -3*h**3 - 2*h**2 + h - 1 Let p be -30*(4 + -14 - -4). Let j(x) = x**2 + p*x - 8*x**2 - 179*x - 4*x**3. Let a(o) = -2*o**2 - 3*o**3 - o**2 + o**3. Give -7*a(u) + 3*j(u). 2*u**3 + 3*u Let m(t) = -3*t + 6. Let r(o) = -3*o + 5. Let q = -16 + 16. Suppose q*u = -11*u + 66. Determine u*r(f) - 5*m(f). -3*f Let s(a) = -17*a**2 - a. Let b(g) = -16*g**2 - g. Give -4*b(q) + 5*s(q). -21*q**2 - q Let c(s) = -31*s - 977. Let t(g) = 23*g + 976. What is -3*c(n) - 4*t(n)? n - 973 Let t(i) = -i**2 + 5*i - 1. Let h(p) = -p**2 + 6*p - 1. Suppose 2*y = -0*y. Suppose 6 = 2*l - g, 0 = -y*l - 3*l - 4*g + 20. Determine l*h(s) - 5*t(s). s**2 - s + 1 Let b(x) = -623*x - 622*x + 1249*x. Let j(d) = 2*d**2 + 3*d - 2. Let u be j(-3). Let v(p) = -9*p. Determine u*b(y) + 3*v(y). y Let l(j) = -1. Let x(q) = q - 5*q + 2*q + 4 + 4. Let s(r) = 3*l(r) + x(r). Let n(m) = m**3 - 1. Calculate -3*n(f) - s(f). -3*f**3 + 2*f - 2 Let k(b) = 6*b**2 + 76*b + 109. Let j be k(-11). Let v(g) = -1 - 4 + 2*g - 6*g + g**3. Let x(i) = i + 1. Give j*v(n) - 5*x(n). -n**3 - n Let o(i) = -6*i**3 + 3*i**2 - 9*i - 2. Let w(n) = n**3 - n**2 - n. Determine -o(h) - 5*w(h). h**3 + 2*h**2 + 14*h + 2 Let h(y) = 4*y**3 - 4*y**2 + 3*y + 3. Let o(n) = -3*n**3 + 3*n**2 - 2*n - 2. Determine -4*h(c) - 5*o(c). -c**3 + c**2 - 2*c - 2 Let w(s) = 7*s**3 + 16*s + 2. Let n(m) = -10*m**3 - 24*m - 3. What is 5*n(p) + 8*w(p)? 6*p**3 + 8*p + 1 Let p(y) = 4*y + 1. Let v(r) = -20*r - 6. Suppose -7*q - 236 = -124. Calculate q*p(f) - 3*v(f). -4*f + 2 Let n(f) = 5*f**2 + 2*f - 2. Let q(o) = 44*o**2 + 16*o - 6. Let v(h) = 175*h**2 + 63*h - 21. Let a(d) = 21*q(d) - 5*v(d). Determine 2*a(g) - 21*n(g). -7*g**2 Let h(v) = 2*v - 49. Let o(r) = 6*r - 146. Calculate 11*h(y) - 4*o(y). -2*y + 45 Let i(z) = z**2 - 4. Let b = 85 + -61. Let g = b - 15. Let v(q) = q**2 - 2*q + 2*q**2 + q - g. Calculate 5*i(u) - 2*v(u). -u**2 + 2*u - 2 Let z(u) = -1 - 5*u**3 - 2*u**3 - u**2 + 5*u - 2. Suppose 0 = 117*h - 122*h - 25. Let k(n) = 6*n**3 + n**2 - 4*n + 3. What is h*k(r) - 4*z(r)? -2*r**3 - r**2 - 3 Let n(b) = -b - 7. Let r(m) = 8*m - 24. Determine -5*n(i) + r(i). 13*i + 11 Let q(t) = t**2 - t. Let n(a) = 2*a**3 + 9*a**2 + 2*a. Calculate -n(f) + 4*q(f). -2*f**3 - 5*f**2 - 6*f Let q(m) = -5*m**3 - 4*m**3 + m + 10*m**3 + 3. Let r be q(0). Let l(j) = -j + j - 2*j - 3 + r*j. Let y(z) = 6*z - 16. Calculate -22*l(f) + 4*y(f). 2*f + 2 Let b(a) = -2*a + 4. Let w(d) = 1369*d - 444. Calculate -111*b(u) - w(u). -1147*u Let j(l) = -2*l - 179. Let p(t) = t + 90. Give -3*j(w) - 5*p(w). w + 87 Let y(x) = 5*x**3 - 4*x + 1. Let p(f) = 44 - 25 - 4*f**3 + 3*f + 0*f - 20. Determine -6*p(j) - 5*y(j). -j**3 + 2*j + 1 Let y(f) = -7*f**2 + f - 9. Let o(b) = -b**3 + 12*b**2 + 29*b - 11. Let r be o(14). Let q(j) = 4*j**2 - j + 5. What is r*y(n) + 5*q(n)? -n**2 - 2*n - 2 Let d(l) = 2*l**3 - 10*l**2 - 12*l. Let b(r) = 2*r**3 - 7*r**2 - 11*r + 1. Give 3*b(g) - 2*d(g). 2*g**3 - g**2 - 9*g + 3 Let l(q) = 4*q**2 - 14*q + 2. Let i(f) = 5*f**2 - 16*f + 1. Calculate 5*i(a) - 6*l(a). a**2 + 4*a - 7 Let j(l) = 7*l - 3. Let x(s) = s + 1. Let p(m) = 3*m + 1. Let k(f) = -p(f) + 2*x(f). Let a be 2 + (-70)/22 - (-16)/88. What is a*j(g) - 4*k(g)? -3*g - 1 Let r(w) = -2*w**2. Let j(d) = d**2. Let v(s) = 2*s**2. Let i(p) = -4*j(p) + v(p). Let u = -1 + -3. Give u*r(h) + 5*i(h). -2*h**2 Let v(p) = -2 + p**2 - p**3 - 1 - p + 2. Let y(u) = -2*u**2 + 5*u
{ "pile_set_name": "DM Mathematics" }
2105? 5, 421 List the prime factors of 4568. 2, 571 List the prime factors of 1156. 2, 17 What are the prime factors of 13870? 2, 5, 19, 73 List the prime factors of 16976. 2, 1061 List the prime factors of 115617. 3, 17, 2267 List the prime factors of 5469. 3, 1823 List the prime factors of 1018. 2, 509 List the prime factors of 1620. 2, 3, 5 List the prime factors of 98. 2, 7 What are the prime factors of 2753? 2753 What are the prime factors of 1086? 2, 3, 181 What are the prime factors of 33? 3, 11 What are the prime factors of 6715? 5, 17, 79 List the prime factors of 86426. 2, 79, 547 List the prime factors of 1780. 2, 5, 89 List the prime factors of 888. 2, 3, 37 List the prime factors of 24684. 2, 3, 11, 17 List the prime factors of 30251. 13, 179 List the prime factors of 54343. 31, 1753 What are the prime factors of 5821? 5821 List the prime factors of 2788. 2, 17, 41 List the prime factors of 166. 2, 83 List the prime factors of 2695. 5, 7, 11 List the prime factors of 12614. 2, 7, 17, 53 List the prime factors of 7744. 2, 11 What are the prime factors of 4470? 2, 3, 5, 149 List the prime factors of 1581. 3, 17, 31 What are the prime factors of 2633? 2633 List the prime factors of 2770. 2, 5, 277 List the prime factors of 14772. 2, 3, 1231 List the prime factors of 15462. 2, 3, 859 What are the prime factors of 8977? 47, 191 List the prime factors of 279. 3, 31 List the prime factors of 1491. 3, 7, 71 List the prime factors of 6113. 6113 What are the prime factors of 3842? 2, 17, 113 What are the prime factors of 2492? 2, 7, 89 What are the prime factors of 9897? 3, 3299 List the prime factors of 5322. 2, 3, 887 What are the prime factors of 82781? 82781 What are the prime factors of 470? 2, 5, 47 What are the prime factors of 469? 7, 67 What are the prime factors of 552? 2, 3, 23 What are the prime factors of 297? 3, 11 What are the prime factors of 16556? 2, 4139 What are the prime factors of 15278? 2, 7639 What are the prime factors of 1825? 5, 73 List the prime factors of 66207. 3, 29, 761 What are the prime factors of 4775? 5, 191 List the prime factors of 6440. 2, 5, 7, 23 List the prime factors of 103667. 83, 1249 What are the prime factors of 125? 5 List the prime factors of 189. 3, 7 List the prime factors of 999. 3, 37 What are the prime factors of 3556? 2, 7, 127 What are the prime factors of 3? 3 What are the prime factors of 2377? 2377 What are the prime factors of 935? 5, 11, 17 What are the prime factors of 8285? 5, 1657 List the prime factors of 457. 457 List the prime factors of 2523. 3, 29 List the prime factors of 15533. 7, 317 What are the prime factors of 57488? 2, 3593 List the prime factors of 117400. 2, 5, 587 List the prime factors of 604. 2, 151 List the prime factors of 2057. 11, 17 What are the prime factors of 772? 2, 193 List the prime factors of 3046. 2, 1523 List the prime factors of 12154. 2, 59, 103 What are the prime factors of 2820? 2, 3, 5, 47 List the prime factors of 10674. 2, 3, 593 What are the prime factors of 16242? 2, 3, 2707 List the prime factors of 296. 2, 37 What are the prime factors of 1143? 3, 127 List the prime factors of 578. 2, 17 List the prime factors of 33500. 2, 5, 67 What are the prime factors of 1563? 3, 521 What are the prime factors of 7959? 3, 7, 379 List the prime factors of 80. 2, 5 List the prime factors of 74679. 3, 11, 31, 73 What are the prime factors of 546? 2, 3, 7, 13 List the prime factors of 30470. 2, 5, 11, 277 What are the prime factors of 885? 3, 5, 59 What are the prime factors of 717? 3, 239 What are the prime factors of 49929? 3, 11, 17, 89 What are the prime factors of 37141? 13, 2857 List the prime factors of 1677. 3, 13, 43 List the prime factors of 2914. 2, 31, 47 What are the prime factors of 6353? 6353 What are the prime factors of 7897? 53, 149 What are the prime factors of 11813? 11813 What are the prime factors of 96778? 2, 11, 53, 83 List the prime factors of 37662. 2, 3, 6277 List the prime factors of 40206. 2, 3, 6701 List the prime factors of 1701. 3, 7 List the prime factors of 200. 2, 5 What are the prime factors of 5015? 5, 17, 59 What are the prime factors of 1610? 2, 5, 7, 23 What are the prime factors of 3461? 3461 What are the prime factors of 324? 2, 3 What are the prime factors of 45444? 2, 3, 7, 541 What are the prime factors of 1245? 3, 5, 83 List the prime factors of 12. 2, 3 List the prime factors of 36937. 43, 859 What are the prime factors of 55575? 3, 5, 13, 19 List the prime factors of 5438. 2, 2719 What are the prime factors of 1801? 1801 List the prime factors of 28273. 7, 577 List the prime factors of 1555. 5, 311 What are the prime factors of 23983? 29, 827 What are the prime factors of 15233? 15233 What are the prime factors of 58775? 5, 2351 What are the prime factors of 21597? 3, 23, 313 What are the prime factors of 46819? 46819 List the prime factors of 2631. 3, 877 List the prime factors of 8054. 2, 4027 What are the prime factors of 16206? 2, 3, 37, 73 What are the prime factors of 60098? 2, 151, 199 What are the prime factors of 9210? 2, 3, 5, 307 List the prime factors of 8652. 2, 3, 7, 103 What are the prime factors of 69? 3, 23 What are the prime factors of 26085? 3, 5, 37, 47 What are the prime factors of 27523? 17, 1619 List the prime factors of 18820. 2, 5, 941 List the prime factors of 13856. 2, 433 What are the prime factors of 896? 2, 7 What are the prime factors of 15689? 29, 541 List the prime factors of 3740. 2, 5, 11, 17 List the prime factors of 997. 997 What are the prime factors of 6123? 3, 13, 157 What are the prime factors of 40928? 2, 1279 What are the prime factors of 32075? 5, 1283 What are the prime factors of 536? 2, 67 What are the prime factors of 23427? 3, 19, 137 List the prime factors of 51. 3, 17 What are the prime factors of 1773? 3, 197 List the prime factors of 1110. 2, 3, 5, 37 List the prime factors of 4342. 2, 13, 167 What are the prime factors of 16892? 2, 41, 103 List the prime factors of 11582. 2, 5791 List the prime factors of 8936. 2, 1117 List the prime factors of 316. 2, 79 What are the prime factors of 9718? 2, 43, 113 List the prime factors of 3336. 2, 3, 139 What are the prime factors of 15983? 11, 1453 What are the prime factors of 2194? 2, 1097 List the prime factors of 3351. 3, 1117 List the prime factors of 124735. 5, 13, 19, 101 List the prime factors of 110764. 2, 27691 List the prime factors of 18557. 7, 11, 241 What are the prime factors of 33576? 2, 3, 1399 List the prime factors of 4068. 2, 3, 113 What are the prime factors of 19727? 19727 What are the prime factors of 3622? 2, 1811 List the prime factors of 43309. 7, 23, 269 List the prime factors of 26078. 2, 13, 17, 59 List the prime factors of 12604. 2, 23, 137 List the prime factors of 1950. 2, 3, 5, 13 List the prime factors of 21038. 2, 67, 157 List the prime factors of 36392. 2, 4549 What are the prime factors of 163257? 3, 54419 What are the prime factors of 20401? 23, 887 List the prime factors of 48. 2, 3 What are the prime factors of 11802? 2, 3, 7, 281 List the prime factors of 1199. 11, 109 What are the prime factors of 155242? 2, 77621 What are the prime factors of 1359? 3, 151 List the prime factors of 596. 2, 149 List the prime factors of 372. 2, 3, 31 What are the prime factors of 10346? 2, 7, 739 List the prime factors of 11998. 2, 7, 857 What are the prime factors of 1186? 2, 593 List the prime factors of 336. 2, 3, 7 What are the prime factors of 28629? 3, 3181 List the prime factors of 18023. 67, 269 List the prime factors of 3673. 3673 List the prime factors of 4987. 4987 What are the prime factors of 654? 2, 3, 109 What are the prime factors of 6259? 11, 569 List the prime factors of 4196. 2, 1049 What are the prime factors of 3440? 2, 5, 43 What are the prime factors of 7126? 2, 7, 509 What are the prime factors of 1223? 1223 What are the prime factors of 50341? 50341 List the prime factors of 264. 2, 3, 11 List the prime factors of 568. 2, 71 List the prime factors of 36644. 2, 9161 List the prime factors of 506. 2, 11, 23 What are the prime factors of 3056? 2, 191 List the prime factors of 654. 2, 3, 109 What are the prime factors of 20853? 3, 7, 331 What are the prime factors
{ "pile_set_name": "DM Mathematics" }
acement from mommooommo. Give prob of sequence ommm. 5/84 Calculate prob of sequence old when three letters picked without replacement from jdtoljdltdttdd. 5/1092 Three letters picked without replacement from {x: 7, p: 2, w: 3, t: 5}. Give prob of sequence xxw. 21/680 What is prob of sequence ai when two letters picked without replacement from {v: 1, d: 2, z: 6, t: 1, a: 5, i: 2}? 5/136 Four letters picked without replacement from tlttiptli. Give prob of sequence lpil. 1/756 Two letters picked without replacement from bbllbb. Give prob of sequence bb. 2/5 What is prob of sequence vm when two letters picked without replacement from ssxnffsvffmnf? 1/156 Four letters picked without replacement from ddhmmddddmmdfddm. Give prob of sequence dhfm. 3/2912 Three letters picked without replacement from {o: 5, t: 1, b: 1, p: 2}. Give prob of sequence opp. 5/252 Three letters picked without replacement from xcceghv. What is prob of sequence vcc? 1/105 Four letters picked without replacement from {q: 6, p: 6}. Give prob of sequence qqqq. 1/33 Four letters picked without replacement from {s: 3, y: 3, e: 1, c: 2, h: 3, l: 1}. Give prob of sequence yceh. 3/2860 Two letters picked without replacement from {z: 5, b: 4, o: 6, n: 4}. Give prob of sequence nb. 8/171 Three letters picked without replacement from {i: 5, r: 8}. Give prob of sequence iri. 40/429 Calculate prob of sequence rzzz when four letters picked without replacement from {z: 9, r: 3}. 7/55 Two letters picked without replacement from {p: 3, w: 1, d: 1, i: 1, g: 1}. Give prob of sequence id. 1/42 What is prob of sequence dmdd when four letters picked without replacement from msddd? 1/20 Two letters picked without replacement from taaaataaaataaaaaaaaa. What is prob of sequence ta? 51/380 What is prob of sequence bx when two letters picked without replacement from xooxxxodbhx? 1/22 Three letters picked without replacement from {t: 2, z: 3, e: 9, u: 1, c: 2}. Give prob of sequence uzt. 1/680 What is prob of sequence izfa when four letters picked without replacement from zanfizanifnizzizizmz? 7/5814 Four letters picked without replacement from shsrsshhhrhshrrh. What is prob of sequence hhsh? 5/208 Four letters picked without replacement from tottataozloz. Give prob of sequence toaa. 1/495 Three letters picked without replacement from vfefvltk. What is prob of sequence etv? 1/168 What is prob of sequence nm when two letters picked without replacement from {f: 5, n: 3, h: 1, m: 1}? 1/30 Calculate prob of sequence jtjj when four letters picked without replacement from jjjtttt. 1/35 Four letters picked without replacement from {k: 1, m: 1, x: 1, i: 1, r: 1}. Give prob of sequence krim. 1/120 Calculate prob of sequence mvmf when four letters picked without replacement from mmfgfgmmmzfmmmvomm. 1/272 What is prob of sequence yy when two letters picked without replacement from {z: 4, y: 6, l: 1}? 3/11 Calculate prob of sequence qisu when four letters picked without replacement from uasiqsm. 1/420 Calculate prob of sequence ptm when three letters picked without replacement from pmmpmpmtpmttmpppp. 3/85 Three letters picked without replacement from oezovoa. Give prob of sequence vzv. 0 Three letters picked without replacement from dyccqcycdyqdccyqycd. Give prob of sequence ydd. 10/969 Three letters picked without replacement from {k: 2, z: 1, v: 2, q: 1, r: 4}. Give prob of sequence vkr. 1/45 Calculate prob of sequence ffm when three letters picked without replacement from fffmmmm. 4/35 Two letters picked without replacement from iiiifiiifiiskk. Give prob of sequence fi. 9/91 Two letters picked without replacement from {o: 3, y: 7}. What is prob of sequence yy? 7/15 What is prob of sequence wbb when three letters picked without replacement from {b: 4, m: 7, w: 5}? 1/56 Two letters picked without replacement from {q: 5, o: 1, j: 2, d: 2, h: 1, s: 4}. What is prob of sequence dd? 1/105 Two letters picked without replacement from mjlzlwm. Give prob of sequence mw. 1/21 Four letters picked without replacement from eccceeecec. What is prob of sequence cccc? 1/42 Calculate prob of sequence ryoe when four letters picked without replacement from {o: 5, y: 4, r: 1, e: 5}. 5/1638 Four letters picked without replacement from {x: 4, l: 2, y: 1, t: 2}. Give prob of sequence yxtx. 1/126 What is prob of sequence pppp when four letters picked without replacement from {p: 8, v: 2}? 1/3 Calculate prob of sequence jarj when four letters picked without replacement from {a: 2, r: 5, j: 5}. 5/297 Three letters picked without replacement from zpzzzzzzzzzzzzzzzzz. Give prob of sequence pzz. 1/19 Four letters picked without replacement from dykwwedk. Give prob of sequence dwkw. 1/210 Three letters picked without replacement from {l: 7, w: 1, z: 2, i: 4, y: 1, o: 2}. Give prob of sequence ozl. 7/1020 What is prob of sequence jj when two letters picked without replacement from hxjjhzddkxjxddxdxh? 1/51 What is prob of sequence bcx when three letters picked without replacement from {x: 6, c: 2, b: 3, v: 1, d: 2, m: 1}? 6/455 Calculate prob of sequence lm when two letters picked without replacement from {w: 1, l: 1, m: 3, n: 9}. 3/182 Four letters picked without replacement from {d: 9}. Give prob of sequence dddd. 1 What is prob of sequence mdvm when four letters picked without replacement from {d: 1, v: 2, m: 7}? 1/60 Four letters picked without replacement from sdqddoqstddsdxdssddd. What is prob of sequence tqqs? 1/11628 Two letters picked without replacement from {o: 8, j: 6, d: 1}. Give prob of sequence jd. 1/35 What is prob of sequence mm when two letters picked without replacement from {p: 5, s: 2, m: 8}? 4/15 What is prob of sequence yny when three letters picked without replacement from {y: 6, n: 4}? 1/6 Calculate prob of sequence pp when two letters picked without replacement from {t: 3, p: 2, x: 4, m: 2, d: 2, l: 1}. 1/91 Two letters picked without replacement from {w: 4, i: 2, y: 2}. What is prob of sequence iw? 1/7 Calculate prob of sequence mvv when three letters picked without replacement from {v: 8, z: 3, m: 6}. 7/85 Three letters picked without replacement from {q: 1, g: 12}. What is prob of sequence ggg? 10/13 What is prob of sequence jsff when four letters picked without replacement from {s: 3, t: 4, e: 4, f: 7, j: 1}? 7/5168 Calculate prob of sequence ewg when three letters picked without replacement from llelwwgwtwt. 2/495 What is prob of sequence ks when two letters picked without replacement from oppzkzzzso? 1/90 Two letters picked without replacement from {n: 7, p: 3, f: 2}. What is prob of sequence nf? 7/66 Calculate prob of sequence kr when two letters picked without replacement from krrrkrr. 5/21 Three letters picked without replacement from blbcwlrccbcbbwcc. What is prob of sequence lwl? 1/840 Four letters picked without replacement from {f: 9, b: 2}. Give prob of sequence bffb. 1/55 Two letters picked without replacement from {k: 9, q: 2, r: 1, b: 2}. What is prob of sequence kb? 9/91 Calculate prob of sequence jjl when three letters picked without replacement from {l: 16, j: 2}. 1/153 What is prob of sequence acuu when four letters picked without replacement from {s: 4, t: 1, a: 3, c: 1, u: 9}? 1/340 Three letters picked without replacement from fffhhf. Give prob of sequence hhf. 1/15 What is prob of sequence pqq when three letters picked without replacement from {q: 11, p: 5}? 55/336 Calculate prob of sequence mmjm when four letters picked without replacement from {m: 11, j: 3}. 45/364 Two letters picked without replacement from zezzzzzzzzzzzzzzzzz. What is prob of sequence zz? 17/19 Three letters picked without replacement from {s: 1, f: 1, l: 2, g: 1, m: 1, p: 1}. Give prob of sequence slp. 1/105 Calculate prob of sequence fxff when four letters picked without replacement from ifxxfxiixiixifx. 1/910 What is prob of sequence pp when two letters picked without replacement from ppuvpuuuup? 2/15 Two letters picked without replacement from rrrrrdrrrrrdrf. What is prob of sequence fr? 11/182 Four letters picked without replacement from sssssvssssvvssssw. Give prob of sequence wssv. 39/4760 Calculate prob of sequence rx when two letters picked without replacement from {p: 1, r: 6, x: 4, b: 5}. 1/10 Calculate prob
{ "pile_set_name": "DM Mathematics" }
79, l - 2*d - x = 258. What is the highest common divisor of l and 36? 36 Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134. 2 Suppose 12*u = -397 - 23. Let l(h) = -3*h**2 - 103*h + 74. Let g be l(u). Let s(z) = -2*z + 2. Let b be s(-4). Calculate the greatest common factor of b and g. 2 Let i be 20/(4/(-2)) - (1348 + -1382). Calculate the highest common factor of 5484 and i. 12 Let w(v) = 240*v - 168. Let h be w(3). What is the highest common factor of h and 966? 138 Let s = 95 - 91. Suppose s*b - 7*b + 30 = 0. What is the highest common divisor of b and 12? 2 Let y(q) = 2651*q - 227698. Let g be y(86). Let v = -9 + 18. What is the greatest common divisor of v and g? 9 Suppose -3*a + 9472 = 2*n, -3158 = -a - 26*n + 25*n. Calculate the greatest common factor of 36 and a. 12 Let i(f) = -f**3 - 14*f**2 - 31*f + 24. Let v be i(-11). Suppose 0 = v*l - 2*z - 98, z = 5*l + 178 - 443. Calculate the highest common divisor of l and 126. 18 Let i(t) = 93*t + 4318. Let z be i(34). Calculate the highest common factor of z and 88. 88 Let g = -187 + 83. Let z = g - -124. Calculate the greatest common divisor of z and 140. 20 Let s(t) be the first derivative of 1/3*t**3 + 5*t - 13/2*t**2 - 10. Let k be s(13). What is the highest common divisor of 40 and k? 5 Let i = 25 - -29. Let l be (1 - (-7 + 6))/((-2)/(-27)). What is the highest common factor of i and l? 27 Suppose 3*y + 2178 = -47*y + 116*y. Suppose 12 = 4*c - 0*c. Calculate the highest common factor of y and c. 3 Suppose -2054*t + 658764 = 470*t. Suppose 3*n - 116 = -3*b - 20, 4*b - 5*n = 164. What is the greatest common divisor of b and t? 9 Let r be (2/(-2))/(13/(-13 - 52)). Suppose -2 = -2*f - 66. Let l = r - f. What is the greatest common divisor of l and 74? 37 Let z(q) = -18*q - 34. Let u be z(11). Let f = -21 - -37. Let s be (-2)/4 + 0 - u/f. Calculate the greatest common divisor of 14 and s. 14 Suppose b = 4*b + r - 1843, -2*r = -3*b + 1858. Calculate the highest common factor of 396 and b. 44 Let y(p) = -25 - 6*p - 3*p + 6*p. Let c be y(-13). Let l = 54 - c. What is the greatest common divisor of 16 and l? 8 Let a(n) be the first derivative of 70*n**3/3 - 11*n**2/2 + 11*n - 21. Let p be a(1). What is the greatest common factor of p and 56? 14 Let p(g) = 4*g**3 - 17*g**2 - 41*g + 247. Let t be p(7). Calculate the greatest common factor of 1 and t. 1 Let k(r) = -r + 11. Suppose 3 = 4*q + 5*c, 3*q - 1 = -5*c + c. Let d be 2/q - (-94)/14. Let x be k(d). Calculate the greatest common factor of x and 20. 4 Suppose -6*w + 6*w - 3*w = 0. Suppose w = 3*a - 5*u - 49, -4*u = -a + 17 - 3. What is the highest common factor of a and 12? 6 Let l(u) = -16*u**2 - 182*u + 54. Let b be l(-8). Calculate the greatest common factor of 12 and b. 6 Let v be (1 - (-18)/(-14)) + 484/28. Suppose r + v = -24. Let i = r - -48. Calculate the highest common divisor of 28 and i. 7 Let s(v) = -2*v**3 - 120*v**2 - v - 75. Let k be s(-60). Suppose -217 = -5*o - 42. Let y = o + k. What is the greatest common factor of 15 and y? 5 Suppose -u + 19*q - 114 = 0, 2*q - 165 = -2*u - 73. Let m be (-4)/(-10) + 2/(-5). Suppose m = 5*r - 85 - 390. Calculate the highest common factor of u and r. 19 Let h(y) = 208*y**3 - 7*y**2 - y + 8. Let l be h(1). What is the highest common factor of l and 3458? 26 Let l = -3243 - -3253. Let r(x) = -x + 13. Let o be r(-9). Calculate the greatest common factor of l and o. 2 Suppose -4*r = -3*i - 16 + 618, -2*i + 404 = -4*r. Calculate the greatest common factor of i and 264. 66 Suppose -56*o = -53*o + 225. Let a be (((-11)/(-2))/(-1))/(o/6150). What is the highest common factor of 41 and a? 41 Suppose -74*n = -93*n + 532. What is the highest common divisor of 3430 and n? 14 Let x = -11883 + 11910. Let a be 2262/21 + (-4)/(-14). Calculate the greatest common divisor of a and x. 27 Let z(g) = -4*g - 11. Let s be z(-4). Suppose 4*b - 19 = w + 8, s*b = -3*w + 38. Suppose 2*o - 29 = -b. What is the greatest common divisor of o and 1? 1 Suppose u + k + k = 84, 0 = 2*u - 2*k - 174. Suppose 5*h + 3*f - 1896 = 0, 5*f + 2000 = 785*h - 780*h. Calculate the highest common factor of h and u. 43 Let t(i) be the first derivative of i**2 + 29*i + 9. Let s be t(-12). Suppose 0 = s*w - 2*w - 21. Calculate the greatest common divisor of w and 21. 7 Suppose -13*a - 4*a - 8*a + 5600 = 0. Calculate the highest common factor of 21 and a. 7 Suppose -149*c - 20*c - 29*c + 720918 = 0. What is the greatest common divisor of 33 and c? 11 Suppose -4*n + 136 = s, 47 = 2*s + 31. What is the highest common factor of 1028 and n? 4 Let l = -1886 - -1903. Calculate the highest common divisor of l and 1088. 17 Suppose 11*a + 9632 = 10402. Calculate the highest common factor of 525 and a. 35 Let w be ((-15)/(-6))/(6/4 + -1). Let y be w*(-16)/120*(-1 + -11). What is the highest common factor of y and 64? 8 Let z be (-1)/(-3) + (20/(-15))/1. Let b be (-4)/((-12)/309) - z. Suppose b = -7*g + 11*g. What is the greatest common factor of g and 286? 26 Suppose 7*s - 27 = 6*s. Suppose 4*c + 5 - 9 = 4*w, -4*c + 7 = -3*w. What is the highest common divisor of s and w? 3 Let v = 331 + -346. Let k be (-418)/v - 17/(1275/(-10)). What is the highest common factor of 154 and k? 14 Let k = -587 + 1063. Let h(i) = k*i**3 - 480*i**3 - 4*i**2 - i**2 - 4 + i + 3. Let m be h(-4). What is the highest common factor of 9 and m? 9 Let l = 437 + -336. Let t = l + 133. Calculate the highest common factor of t and 18. 18 Let w(u) = -4*u**3 - 8*u**2 - 2*u + 85. Let t be w(-7). What is the highest common divisor of t and 39? 13 Let u(w) = 74*w**2 + 7*w - 7. Let h be u(1). Suppose -g = 3*p - h, 3*p + 4*g - 54 = 8. What is the greatest common factor of 182 and p? 26 Suppose f - 120 = 5*q + 338, 2368 = 5*f + q. Let u = f + -459. Let n = 206 - 108. Calculate the highest common divisor of n and u. 14 Suppose 3*h - 5*q = h + 76, 5*h + 3*q - 190 = 0. Let l(p) = -3*p**3 - 157*p**2 - 37*p + 1141. Let n be l(-52). What is the highest common factor of n and h? 19 Let o be (-9)/15*-5 + -52. Let c = -19 - o. Suppose -2*w = -54 - 186. What is the highest common divisor of w and c? 30 Let j(x) = x**2 - 8*x + 12. Let f be j(8). Suppose 4*g = -m + 53, 3*g - 43 = -g + m. Suppose -g*o + 1385 = -487. Calculate the highest common factor of o and f. 12 Let p be 2 + ((-2)/(-4)*6 - 1). Suppose 30 = p*d + 190. Let l be (18/8)/(105/d + 3). Calculate the greatest common factor of 78 and l. 6 Let k = 38 + -27. Let l = -398 + 125. Let r = -152 - l. What is the greatest common divisor of k and r? 11 Let w be -7 - ((-30 - 42456/36) + (-5)/3). Calculate the highest common divisor of 364 and w. 28 Let u = -124 + 208. Let o(y) = 2*y**2 - 7*y - 410. Let n be o(18). Calculate the highest common factor of u and n. 28 Let z = 38 - -55. Suppose 8*g + z = 893. Calculate the highest common factor of g and 80. 20 Let y be -2 + 44 + 6/3. Let c = -500 - -500. Suppose 3*a - 4*z = -2*a + 95, 3*a - 5*z - y = c. What is the highest common divisor of 92 and a? 23 Suppose -25*f = -12*f + 28*f - 263917. Calculate the greatest common divisor of 41 and f. 41 Let a(y) = 24 + 4*y + y**2 - 7 - 17*y + 5*y. Let p be a(5). Suppose 2*z = 3*n + 11, p*n + 15 = 3*z - n. What is the greatest common divisor of 44 and z? 4 Suppose -1115*x + 553*x - 49657 = -579*x. What is the highest common factor of x and 161? 23 Suppose 41*b - 68719 = -15624. What is the highest common divisor of b and 49? 7 Suppose 10*w = 59 + 111. Suppose -c + 0*c + 62 = -3*n, -4*c + w = -n. Let m be 8/(-60)*n*10. What is the highest common divisor of m and 8? 4 Suppose 910 = 4*z - 3*i + 2643, 2*i = -2*z - 856. Let g = z + 653. What is the highest common divisor of g and 6? 6 Suppose 0 = -3*h + 4*f - 1, 2*h - 5*f = -f - 2. Let m(r) = -8 + 17*r**2 + 4*r**3 + 0 - 5*r**3 + r. Let z be m(17). What is the highest common factor of h and z? 1 Suppose -353 = -a - 19*p + 17*p, -5*p + 710 = 2*a. Calculate the greatest common divisor of a and 30. 15 Let x(g) = g**2 - 25*g + 29. Let r be x(24). Suppose -276 = -4*k - 3*u + 363, r*k + u = 785. What is the highest common factor of 39 and k? 39 Let b = -2271 + 3054. Calculate the highest common factor of 432 and b. 27 Let q = 1184 + -1024. Calculate the greatest common factor o
{ "pile_set_name": "DM Mathematics" }
108494738. 2*(s - 513)**2*(s - 349)**2 Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0. -19077, -18 Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082. 2*(k - 56463)**2*(k - 1)/9 Factor -18*i**3 - 100704*i**2 - 67130*i - 11188. -2*(i + 5594)*(3*i + 1)**2 Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c**2/7 - 2156673584*c/7 - 4314090272/7 = 0. What is c? -1, 2, 23222 Factor p**2/6 + 739*p/6 + 22425. (p + 325)*(p + 414)/6 Let n**2/5 - 579*n/5 - 5292/5 = 0. What is n? -9, 588 Factor -3*p**2/7 - 632529*p/7 + 632532/7. -3*(p - 1)*(p + 210844)/7 Find o such that 3*o**4 - 423*o**3 + 5622*o**2 + 6048*o = 0. -1, 0, 16, 126 Solve 4*x**4 - 176*x**3 + 500*x**2 - 328*x = 0. 0, 1, 2, 41 Determine l, given that -2*l**5/9 - 8*l**4 + 830*l**3/9 + 100*l**2 = 0. -45, -1, 0, 10 Factor -12*n**2 - 148*n + 9520. -4*(n + 35)*(3*n - 68) Solve 2*d**3/15 - 188900*d**2 + 66906018750*d = 0 for d. 0, 708375 Factor f**5/7 + 2070*f**4/7 + 1075357*f**3/7 + 4276620*f**2/7 + 4268356*f/7. f*(f + 2)**2*(f + 1033)**2/7 Suppose -2*q**4/19 - 8128*q**3/19 - 8118716*q**2/19 + 283122624*q/19 - 2426675778/19 = 0. Calculate q. -2049, 17 Let -15*b**2 + 43*b/3 + 2/3 = 0. What is b? -2/45, 1 Factor 4*y**2 + 1720*y - 117600. 4*(y - 60)*(y + 490) Let 2*h**2/7 - 1516*h/7 + 287282/7 = 0. What is h? 379 Suppose n**2/4 - 2281*n + 4561 = 0. What is n? 2, 9122 Let 4*l**4 + 1460*l**3 - 92852*l**2 - 190068*l - 95760 = 0. Calculate l. -420, -1, 57 Determine t so that -t**3/5 + 759*t**2 - 15143*t/5 - 79611/5 = 0. -3, 7, 3791 Factor -y**3 + 556*y**2 - 513*y - 23310. -(y - 555)*(y - 7)*(y + 6) Let 50*s**3/7 - 78090*s**2/7 + 62448*s/7 - 1784 = 0. Calculate s. 2/5, 1561 Suppose 3*k**5/5 - 33*k**4/5 - 201*k**3/5 + 1113*k**2/5 - 882*k/5 = 0. What is k? -7, 0, 1, 3, 14 Find c, given that -3*c**5 + 237*c**4 + 3777*c**3 + 11907*c**2 + 8370*c = 0. -10, -3, -1, 0, 93 Determine s so that s**2 - 46*s - 2952 = 0. -36, 82 Find q, given that -3*q**4 + 852*q**3 + 20139*q**2 + 17568*q - 38556 = 0. -21, -2, 1, 306 Solve 550*z**5 - 74255*z**4 + 362575*z**3 - 577490*z**2 + 291220*z - 2600 = 0 for z. 1/110, 1, 2, 130 Find j, given that 2*j**2/7 + 10036*j/7 - 660790/7 = 0. -5083, 65 Solve -n**3 + 193*n**2 - 8732*n + 8540 = 0 for n. 1, 70, 122 Suppose 3*f**2 + 2055492*f + 352087280172 = 0. Calculate f. -342582 Factor z**3/3 + 385*z**2/3 + 1900*z/3. z*(z + 5)*(z + 380)/3 Determine c so that -c**4/3 + 6*c**3 + 20*c**2 + 62*c/3 + 7 = 0. -1, 21 Find p such that -2*p**3 - 4306*p**2 + 4312*p + 8616 = 0. -2154, -1, 2 Solve -5*a**5 - 680*a**4 - 27980*a**3 - 199430*a**2 + 6110545*a - 5882450 = 0. -49, 1, 10 Determine b so that 2*b**2 + 1328*b + 156366 = 0. -511, -153 Suppose 2*y**2/5 - 727376*y/5 + 66134480672/5 = 0. What is y? 181844 Determine f, given that 3*f**2 - 1273254*f + 135097979043 = 0. 212209 Factor -4*z**2 - 568*z - 10948. -4*(z + 23)*(z + 119) Suppose 1418*c**2/13 + 2572*c/13 - 528/13 = 0. What is c? -2, 132/709 Solve b**3 - 62121*b**2 + 964661472*b + 2894543532 = 0. -3, 31062 Determine y so that -y**5 + 83*y**4 - 1233*y**3 - 4207*y**2 - 4378*y - 1488 = 0. -1, 24, 62 Suppose 8*o**5/11 - 58*o**4/11 - 1530*o**3/11 + 6970*o**2/11 - 6638*o/11 + 1248/11 = 0. Calculate o. -13, 1/4, 1, 3, 16 Factor -2*a**3 + 113*a**2/2 - 101*a/2 - 109. -(a - 2)*(a + 1)*(4*a - 109)/2 Factor -5*f**3/2 + 1105*f**2/2 + 2245*f/2 - 3345/2. -5*(f - 223)*(f - 1)*(f + 3)/2 Suppose -x**4/5 - 38*x**3/5 + 7032*x**2/5 + 67662*x - 345303/5 = 0. What is x? -63, 1, 87 Factor -3*l**3/5 - 261*l**2/5 - 633*l - 7227/5. -3*(l + 3)*(l + 11)*(l + 73)/5 Determine l, given that 2*l**5/3 + 4472*l**4/3 - 4484*l**3 - 40312*l**2/3 - 22390*l/3 = 0. -2239, -1, 0, 5 Factor 4*o**5/7 - 720*o**4/7 + 24000*o**3/7 - 32000*o**2. 4*o**2*(o - 140)*(o - 20)**2/7 Find i such that -i**5 - 60*i**4 + 530*i**3 - 960*i**2 - 529*i + 1020 = 0. -68, -1, 1, 3, 5 Factor d**2/6 - 233*d/2 + 13180/3. (d - 659)*(d - 40)/6 Factor t**3/7 - 1728*t**2/7 + 3453*t/7 - 1726/7. (t - 1726)*(t - 1)**2/7 Let 2*h**5 + 436*h**4 + 1702*h**3 - 2140*h**2 = 0. Calculate h. -214, -5, 0, 1 Factor 1539*x**4 - 9228*x**3 + 18432*x**2 - 12240*x - 48. 3*(x - 2)**3*(513*x + 2) Factor 2*a**2/13 - 64*a/13 - 73986/13. 2*(a - 209)*(a + 177)/13 Factor g**3/4 - 465*g**2/4 - 5761*g + 11985. (g - 510)*(g - 2)*(g + 47)/4 Suppose -20*n**5 - 516*n**4 + 1204*n**3 - 780*n**2 + 112*n = 0. What is n? -28, 0, 1/5, 1 What is z in 4*z**2/3 + 1388*z/3 - 21784 = 0? -389, 42 Factor 3*o**3/2 - 163836*o**2 + 8947739295*o/2 - 8947083963. 3*(o - 54611)**2*(o - 2)/2 Factor -182*z**3 + 48*z**2 + 54*z. -2*z*(7*z + 3)*(13*z - 9) Determine m so that -65*m**5/2 + 7601*m**4/2 - 14417*m**3/2 - 8521*m**2/2 + 7241*m + 460 = 0. -1, -4/65, 1, 2, 115 Factor -5*q**2 - 1840*q + 870400. -5*(q - 272)*(q + 640) Find a such that 3*a**3 - 1140*a**2 + 1137*a = 0. 0, 1, 379 Find x such that 5*x**5 + 18835*x**4 - 56550*x**3 + 20*x**2 + 75400*x = 0. -3770, -1, 0, 2 Solve -t**5/3 - 6*t**4 + 47*t**3 - 82*t**2/3 - 80*t = 0 for t. -24, -1, 0, 2, 5 Factor -w**4 + 358*w**3 - 1977*w**2 - 47120*w - 140800. -(w - 352)*(w - 16)*(w + 5)**2 Suppose -3*x**5 - 870*x**4 + 26457*x**3 - 86292*x**2 - 1654236*x = 0. Calculate x. -318, -6, 0, 17 Solve 5*n**3 + 3829990*n**2 + 733441170005*n = 0 for n. -382999, 0 Find s, given that 4*s**4 - 33972*s**3 - 135964*s**2 + 101892*s + 611784 = 0. -3, 2, 8497 What is y in -4*y**2 + 148976*y - 1387115536 = 0? 18622 Determine j so that -3*j**5 - 1998*j**4 + 10047*j**3 - 12090*j**2 - 8028*j + 16104 = 0. -671, -1, 2 Factor -2469*g**2 + 49378*g + 40. -(g - 20)*(2469*g + 2) Find f such that -3*f**3 + 93246*f**2 + 466323*f - 559566 = 0. -6, 1, 31087 Factor -b**5 + 1106*b**4 + 2216*b**3 + 2*b**2 - 2215*b - 1108. -(b - 1108)*(b - 1)*(b + 1)**3 Determine m, given that -m**4/4 - 77207*m**3/4 - 496736970*m**2 - 4261009715792*m + 4261506472064 = 0. -25736, 1 Solve 4*f**4 + 228*f**3 - 65704*f**2 - 132288*f = 0 for f. -159, -2, 0, 104 Find o, given that -3214*o**5/7 + 16066*o**4/7 - 25692*o**3/7 + 1832*o**2 + 16*o/7 = 0. -2/1607, 0, 1, 2 Factor 2*m**4/3 - 10480*m**3/3 + 6162156*m**2 - 11288129216*m/3 + 547886809834/3. 2*(m - 1729)**3*(m - 53)/3 Determine p so that 2*p**5/3 + 296*p**4/3 - 202*p**3 - 884*p**2/3 + 2392*p/3 - 400 = 0. -150, -2, 1, 2 Determine z so that 4*z**3 + 5620*z**2 - 85264*z - 90880 = 0. -1420, -1, 16 Suppose g**3/10 + 22*g**2/5 - 202*g/5 + 312/5 = 0. What is g? -52, 2, 6 Factor -2*i**4 - 82*i**3 - 296*i**2. -2*i**2*(i + 4)*(i + 37) Let 5*m**2 + 4456045*m/3 + 990230 = 0. Calculate m. -297069, -2/3 Determine t so that 8*t**3/7 - 822*t**2/7 - 1038*t/7 - 208/7 = 0. -1, -1/4, 104 Suppose -2*b**3/3 + 5167*b**2/3 + 12937*b/3 - 6034 = 0. What is b? -7/2, 1, 2586 Find b such that -b**2/8 + 1435*b/8 + 2157/4 = 0. -3, 1438 Factor -2*f**2/9 + 20*f - 688/9. -2*(f - 86)*(f - 4)/9 Solve -363*q**4/4 + 24981*q**3/2 + 68661*q**2/4 + 5001*q + 417 = 0. -1, -2/11, 139 Let -3*w**4/5 + 588*w**3/5 - 18897*w**2/5 - 1035552*w/5 - 1016064/5 = 0. Calculate w. -27, -1, 112 Solve z**3/4 + 1213*z**2/4 - 4865*z/4 + 3651/4 = 0 for z. -1217, 1, 3 Let -2*v**3/9 - 746*v**2/3 + 2992*v/3 - 8984/9 = 0. What is v? -1123, 2 Let 52*i**3 + 292*i**2 - 4592*i = 0. What is i? -164/13, 0, 7 Factor -x**2/12 - 2659*x/3 - 3545/4. -(x + 1)*(x + 10635)/12 Factor -3*z**3/2 + 3981*z**2/2 + 1992*z. -3*z*(z - 1328)*(z + 1)/2 Let 4*t**3/7 + 776*t**2/7 + 12036*t/7 = 0. Calculate t. -177, -17, 0 Suppose 605*a**3 - 2169255*a**2 - 11845800*a - 16159500 = 0. Calculate a. -30/11, 3591 Let -371*k**4 + 275283*k**3 - 50789158*k**2 - 102544032*k + 276768 = 0. What is k? -2, 1/371, 372 Factor -3*y**3/2 + 192*y**2 - 16383*y/2 + 116487. -3*(y - 43)**2*(y - 42)/2 Factor 5*a**3 + 3278*a**2 - 1328*a - 10496. (a - 2)*(a + 656)*(5*a + 8) Factor m**4/8 + m**3/8 - 21*m**2/8 - 45*m/8. m*(m - 5)*(m + 3)**2/8 Factor 4*z**3 + 1520*z**2 - 121100*z + 2205000. 4*(z - 35)**2*(z + 450) Determine l so that -l**3 - 1749*l**2 - 13944*l - 27856 = 0. -1741, -4 Solve 4*k**4/7 + 132*k**3/7 - 12584*k**2/7 + 36768*k/7 - 24320/7 = 0 for k. -76, 1, 2, 40 Suppose -h**2 - 31324*h + 62652 = 0. Calculate h. -31326, 2 Find v such that v**3/9 - 202*v**2/9 + 10279*v/9 - 6586/3 = 0. 2, 89, 111 Determine r, given that r**2 + 406*r - 56135 = 0. -515, 109 What is v in 4*v**2 - 16460*v - 16464 = 0? -1, 4116 Factor 3*x**2 + 292899*x
{ "pile_set_name": "DM Mathematics" }
/(a/a**1)*a)**(-3/8)*((a**0)**(-10))**(-24/7) assuming a is positive. a**(29/8) Simplify ((d*d*d**(2/23)*d*d*d**(-4)*d)/(d**(-2/49)/(d*d*d/(d/d**(-16))*d)))**36 assuming d is positive. d**(-481680/1127) Simplify ((m*m*m**1)**(3/10)/(m**4/(m*((m**(-1/5)/m)/m)/m)))/(m**(-3/10)*m**(-1/3))**(-28) assuming m is positive. m**(-691/30) Simplify ((k**(-6)/k)/k**(7/5))/(k**(-1/8)/k**0)*(k/(k/k**3*k)*k)/k**(-6)*((k**(1/15)*k)/k)/(k*(k*k**(2/5)*k)/k) assuming k is positive. k**(-193/120) Simplify o**(5/4)/o*o/(((o*o*o/(o*o**(-2)*o))/o)/o*o*o)*(o/o**(2/7))**(3/31)*o**0/(o/(o/(o*o*o/(o/o**0))))*o**7*o**(4/7) assuming o is positive. o**(3377/868) Simplify ((p**(-1))**(-26))**(2/73)/((p*p**(2/3)/p)/p*p**(-3)*p**(-2/15)*p**(-4/7)/p) assuming p is positive. p**(44077/7665) Simplify (w**(-10)/(w*w/(w*(w/((w/(w**(1/3)/w)*w)/w))/w)*w))**7/(w**(6/5)/w**(-4/3)*(w*w**5*w*w)/w*w**(-3/4)) assuming w is positive. w**(-2089/20) Simplify (f/(f/(f/f**6))*(f**5*f)/f)/((f/(f**(-1/3)*f))/f**1)*(f*f*((f*f**(1/3))/f)/f*f*f)**(2/39)*f**(-4)/((f/(f/(f**(-3)*f)))/f) assuming f is positive. f**(-19/117) Simplify (n**(-14)*n)**(-7/12)*(n*n*n**(-24)*n)**(-5/8) assuming n is positive. n**(497/24) Simplify ((((d*d/d**9)/d*d*d/d**(1/5))**(-5))**(5/6))**(2/73) assuming d is positive. d**(155/219) Simplify ((k**(-1))**(-5/7))**(-47)*(k*k*k*k*k*k**(-1/4)/k*k*k)/(k/(k/k**(-2/5)))*k**(-6)*k**(-2/5) assuming k is positive. k**(-947/28) Simplify ((r*((r**22/r*r)/r*r)/r)/r**14*r**(2/31)/(r/r**(31/5)))**(-23/3) assuming r is positive. r**(-47288/465) Simplify (l/(l/(l/(l/((l*l/(l*l**(-8)))/l))*l)))/l*l*l*l/(l/l**(-6/11))*l/l**(-8)*l**0*((l**(1/6)/l)/l*l**(2/15)*l)**(-4/11) assuming l is positive. l**(1029/55) Simplify (((u*u*(((u*u/((u**7/u)/u))/u)/u)/u*(u/(u/(u**(5/4)*u)*u*u))/u)**40)**(-15/7))**(-49) assuming u is positive. u**(-19950) Simplify (g**(-1))**9*(g**1*g)**31*(g*g**(-4))/g**(-4)*(g**(-4)*g)/(g/(g/g**(3/2))*g) assuming g is positive. g**(97/2) Simplify ((h*h**(-2))**(-13/2))**(7/2)/(h**(-8/3)*h**9*h*h)**12 assuming h is positive. h**(-309/4) Simplify ((((h**(-1/7)*h)/h*h**(-4)*h)/(h**4*(h/h**(-9))/h))**43)**(2/53) assuming h is positive. h**(-9718/371) Simplify ((o**(-2/21))**(-28)*(o/o**(-3)*o)/o**(-5/3))**(-13) assuming o is positive. o**(-364/3) Simplify (x/((x*x/x**2*x*x)/x))**11*(x/(x**(-2/21)/x))/(x/(x/(x/(x/x**(-1))*x)))*(x**(1/3)/x**(-1))/(x**(-4)*x**(-7/2)/x) assuming x is positive. x**(167/14) Simplify (((m*m**(3/5)/m)/m*m**(1/4))/((m**(1/10)*m)/((m/(m*((m/m**2*m)/m)/m))/m)))/(m/(m/m**(-5))*m**(-7))**(1/33) assuming m is positive. m**(5/44) Simplify ((w**(-1/7)*w**(-3))/(w*(w/(w/(w*w/(w/(w*w/(w*w**(1/5)))))))/w*w/w**(-9)))**17 assuming w is positive. w**(-8891/35) Simplify ((k*((k/k**(-3))/k)/k)/k**(-1))**(-20)/(k**(-5/4)*k*k**(-7)*k*(k**0)**1) assuming k is positive. k**(-295/4) Simplify ((((x**12/x)/(x*x/x**22))**(30/11))**38)**(1/22) assuming x is positive. x**(17670/121) Simplify ((l**(2/5))**(-6/7)*(l*l**(-3)*l)/l**1)/((l**(2/5))**(-34))**(1/5) assuming l is positive. l**(66/175) Simplify ((a*a/(a/(a*a/a**6))*a)/(a/(a**6*a*a*a)))**(-5/12)/((a**0)**(22/3)*(a**0)**45) assuming a is positive. a**(-5/2) Simplify ((g*g*g**(-2/13)*g)**(-2/27)/(g*g**(3/10)*(g*g*g*(g**(1/20)*g)/g)/g*g*g*g*g))**(19/2) assuming g is positive. g**(-1008463/14040) Simplify ((y**(2/21))**(2/31)*(y**(-18/7))**(-41))**(-1/11) assuming y is positive. y**(-68638/7161) Simplify (f**1*f*f*f**(-32)*(f**(26/7))**(17/2))**5 assuming f is positive. f**(90/7) Simplify (n**(2/5))**(-1/8)/(n**5*n**(3/8))*(n*n**1/n*n**(-2/7))/((n/n**0)/n)**4 assuming n is positive. n**(-1319/280) Simplify (f*f**(-1/7)*f**(-8))**(-48)/((f/(f*f**(-2)))**19/(f**(-1/4))**(5/6)) assuming f is positive. f**(51181/168) Simplify ((g*g**(2/7))**(-2/43)*g**(-12)*g*g*g*g**(-7/6))**(4/9) assuming g is positive. g**(-36938/8127) Simplify (a**4*a*a*a*a*a*(a*a**(1/6))/a*a*a*a)/(a**(-1/2)/a*a/(a/(a*a/(a*a**2/a)*a*a*a)*a))*(a**(-2/5))**(-10/9)*a/a**(-2)*a**(-1/2) assuming a is positive. a**(263/18) Simplify ((r/(r/((r/((r*(r/(r*r**(-1/3)))/r*r)/r))/r*r)))**(-4/19))**(2/3)*(r**(2/3))**(-40)/(r**(-6)/r*r**(-3/7)) assuming r is positive. r**(-23140/1197) Simplify ((j/(j/((j*j/((j/(j*j**(2/5)*j))/j))/j))*j)**(1/2))**(-28)/(((j/(j**(1/7)/j)*j)/j**(2/9))/(j/(j*j**3)*j*((j*j**(3/5))/j)/j)) assuming j is positive. j**(-4198/63) Simplify ((v*(v*v/v**(4/17))/v*v**(-1/25))/(v**10*v**0*v))**(-42/5) assuming v is positive. v**(165564/2125) Simplify ((k**(-9)*k*k/((k**0/k*k)/k)*k)/(k**(1/2))**(-26))/(((k*k**(2/3)*k)/k**0)/(k**(-1)*k)**14) assuming k is positive. k**(16/3) Simplify (((a**31/a*a)/a)/a)/(a/(a/((a/(a/a**(6/5)))/a)))*(a*a**(-1/67))/((a*(a*a/(a*(a**14*a)/a))/a)/a) assuming a is positive. a**(14668/335) Simplify ((j*(j**(-10/11)/j)/j)/j**(3/4)*(j/j**4)**7)**(-22/7) assuming j is positive. j**(1041/14) Simplify (g**0)**40*g**(2/7)/(g/((g**(-7)*g)/g))*(g**1/((g*g*g/(g*g**(-5)))/g))/(((g*g**(-5/6)*g)/g)/(g/((g*g**(3/7))/g))) assuming g is positive. g**(-517/42) Simplify (r**(-16)*(r**(-5/4)*r)/r*(r**(2/3)*r*r*r)**(-2/53))**(-1/44) assuming r is positive. r**(11059/27984) Simplify (w**(2/61)*w**41)/((w*(w**29*w)/w)/w)**(-44) assuming w is positive. w**(80339/61) Simplify (y/y**(-9)*y/(y*y/(y/y**(5/2)))*y)**(2/21)*(y**(2/15)*y**(-1/3))/(y**1/y**(1/6)) assuming y is positive. y**(-47/210) Simplify (d**(-2)/d**28*d**(-2/3)*d**(-2/65))**(4/27) assuming d is positive. d**(-23944/5265) Simplify (o/(o*o**(-3))*o*(o/o**0)/o*o*o**(-1/4)/o**(-5))**50 assuming o is positive. o**(975/2) Simplify ((o**(-1/6)/((o**(-1/4)/o)/o))/(o**(-1))**48)/(o*o**(6/11)*o**(-7/2))**(-9/8) assuming o is positive. o**(25283/528) Simplify (a**(2/9)*a**3*a*a**(-1)*a*a**4)/((a**0)**(-32)/((a/(a**6/a))/a*a*a*a*a/a**(2/5)*a*a*a)) assuming a is positive. a**(442/45) Simplify ((b/((b*b**(-3/8))/b))**(6/11)*(b/b**11)/b**4)**33 assuming b is positive. b**(-1749/4) Simplify ((z*(z/(z/z**(1/8)*z))/z*z**(3/5))/(z/(z/(z**(1/7)/z))*(z/(z**2/z*z))/z))/(z/((z*z**(3/4))/z)*z*z*z*z*z**(7/5))**(-1/10) assuming z is positive. z**(2203/700) Simplify ((c*(c*c/c**(-45))/c)/(c**(2/69)*c))/(c*c*c/c**38)**13 assuming c is positive. c**(34567/69) Simplify (h**(-2/11)*h)/((h/h**(-3))/h)*(h*h**(1/3))/(h*h**(-2)/h)*(h*h**(2/21)*h*h*h**(-6/11))/(h*(h**(-2/3)*h)/h)**(-41) assuming h is positive. h**(4012/231) Simplify (((l*l**1)/l)/(l*l**(-1/2)))**(-48)/((l**(-2/3))**8)**(-2/43) assuming l is positive. l**(-3128/129) Simplify m**(-7)/(m*m**(1/5))*m**0/(m*m**(-6))*(m**(-2))**(7/4)/((m*m*m**(-3/2)*m*m*m*m)/((m/m**(-4/3)*m)/m)) assuming m is positive. m**(-133/15) Simplify ((v**(3/7)/v**(5/6)*((v*v*v/(v*(v/(v**1/v))/v)*v)/v)**(-1/8))**45)**37 assuming v is positive. v**(-30525/28) Simplify (m/m**(-5)*m**(1/2)*(m*m**1)**13)/(m**(1/8)/m*m/(((m/(m/(m/(m*m/((m*m**(-1)*m*m)/m)))))/m)/m))**11 assuming m is positive. m**(73/8) Simplify (z/z**(-2/5)*(((z/z**(-1/8))/z)/z)/z*z**(-8)/(z/(z*z/(z/(z*z/(z*z**0))))))**37 assuming z is positive. z**(-11063/40) Simplify ((u*u**(-36))/u)**25*u**(9/8)*u*u**(-31) assuming u is positive. u**(-7431/8) Simplify (d*(d/(d**16/d))/d*d**38/d)/(d**(-1/82)/((d*d*d**(-34))/d*d*d)) assuming d is positive. d**(-655/82) Simplify (m/(m/(m/(m/m**(4/3))))*m**(-3/4)/m)/((m/m**(-1))/m)**(19/2)*((m**(-4/5)/m)/m)/m**(-1/4)*(m**5*m)/m*m*m**6/m assuming m is positive. m**(-22/15) Simplify ((d*d*d**(-1/8)*d*d*d)**(-1/39)*d**(-3/2)*d**(-5/6))**19 assuming d is positive. d**(-1121/24) Simplify (((z/z**9*z*z**(-31))**(-32))**(-3/16))**(-45) assuming z is positive. z**10260 Simplify ((s*s**(2/5))**(-21))**(-19/5)/(s/(s/(s/(s/(s*(s**(-7)*s)/s))))*s*s**(-4)/s)**27 assuming s is positive. s**(9543/25) Simplify (((g/((g*g*g/g**5*g)/g))/g*g)/g*g/(g**(-10)/g*g)*(g**(-2))**(-5))**22 assuming g is positive. g**506 Simplify ((i/i**(2/3))**(-2)*(i**(-1/3))**(-2/49))/((i/i**(1/5))/((i/(i/(i/(i**(-6)/i))))/i))**(-10) assuming i is positive. i**(-3070/49) Simplify ((n**(2/9)*n)**(-31))**(-17)*n/n**3*n/(n*n*n/n**4)*(n**(-1/3))**(-4/3) assuming n is positive. n**(5801/9) Simplify s*s/(s*(s**(-5)/s)/s)*s**(2/11)/s*(s/(s/(s*s/s**(-2/5))))**20*(s*s*s**(-11)*s**(-4/3)*s)**22 assuming s is positive. s**(-4955/33) Simplify (((a**(-1/3)*a)/(a*a**(-3)))/(a**(-4/3)/a**4))/((a*a**(-2)*a*a*a**(4/7)/a)/(a*a*a*a*(a/(a**(-1)/a)*a)/a*a*a
{ "pile_set_name": "DM Mathematics" }
e of 2040 and 146170? 29818680 What is the least common multiple of 756 and 286392? 18042696 Find the common denominator of -31/150521 and 23/84. 1806252 What is the lowest common multiple of 270 and 122508270? 367524810 Calculate the lowest common multiple of 57 and 188274. 3577206 Calculate the least common multiple of 1788740 and 13594424. 67972120 Find the common denominator of 62/665 and -103/828362. 28992670 Calculate the common denominator of -103/4470270 and 65/42574. 4470270 Calculate the smallest common multiple of 729168 and 24858. 2187504 What is the common denominator of 121/10887372 and -137/137862? 402832764 Calculate the common denominator of -1/31356672 and -35/734922. 94070016 Calculate the least common multiple of 5643 and 4644. 970596 What is the least common multiple of 1813 and 101491? 4973059 Calculate the common denominator of -32/35104725 and 2/1179. 35104725 Calculate the lowest common multiple of 379728 and 240. 1898640 Calculate the common denominator of 59/39312 and 149/242424. 1454544 What is the common denominator of -137/6 and 49/31736? 95208 What is the common denominator of -8/507 and -82/6321783? 6321783 What is the lowest common multiple of 19656728 and 5859? 530731656 What is the common denominator of -79/2181962 and 47/700630? 76368670 What is the lowest common multiple of 203757 and 372078? 8557794 What is the common denominator of -143/47286 and 151/858? 6761898 What is the lowest common multiple of 15127937 and 8? 121023496 Find the common denominator of 94/2925 and 74/2107305. 136974825 Find the common denominator of 7/909030 and 123/5540. 503602620 Calculate the least common multiple of 2853795 and 210. 5707590 Calculate the least common multiple of 48 and 10851048. 21702096 Find the common denominator of 111/35012278 and -87/22. 385135058 Find the common denominator of -46/452439 and -40/477. 23979267 Calculate the lowest common multiple of 123662 and 123662. 123662 Calculate the common denominator of 81/1268288 and -13/352. 13951168 What is the lowest common multiple of 12642 and 70563? 6915174 Find the common denominator of 157/5540040 and 109/15612840. 171741240 Calculate the lowest common multiple of 73019074 and 15128. 292076296 Find the common denominator of -19/6 and 9/11674844. 35024532 Calculate the lowest common multiple of 7080 and 124608. 623040 Find the common denominator of 19/972 and 71/2473308. 22259772 What is the lowest common multiple of 987 and 6017457? 42122199 Find the common denominator of -5/4412472 and -103/119256. 4412472 Calculate the common denominator of 97/460 and -89/2605656. 299650440 Calculate the lowest common multiple of 49321640 and 1149445. 542538040 What is the least common multiple of 4921 and 21154? 14871262 Calculate the least common multiple of 633920 and 210. 1901760 Calculate the lowest common multiple of 80304 and 556. 11162256 What is the least common multiple of 1501932 and 3754830? 7509660 Calculate the smallest common multiple of 10410534 and 1980. 1145158740 Calculate the smallest common multiple of 330262 and 73505610. 2719707570 What is the smallest common multiple of 10459548 and 18? 10459548 What is the smallest common multiple of 101788 and 4324? 110032828 Calculate the common denominator of -17/1616 and 91/513640. 103755280 What is the least common multiple of 24826575 and 147903? 173786025 What is the least common multiple of 1470 and 1917160? 40260360 Calculate the lowest common multiple of 354040479 and 65. 1770202395 Calculate the least common multiple of 120 and 28147380. 56294760 What is the least common multiple of 11384 and 7136? 10154528 What is the common denominator of -81/21500 and -71/512000? 22016000 What is the least common multiple of 2277427 and 410? 22774270 What is the common denominator of -61/5405316 and -101/168? 10810632 Find the common denominator of 25/64 and -57/1026232. 8209856 Calculate the least common multiple of 2344 and 62208. 18226944 What is the smallest common multiple of 1497076 and 122428? 360795316 Calculate the common denominator of 85/211407 and 74/26184267. 183289869 What is the lowest common multiple of 96597 and 40280949? 40280949 Calculate the smallest common multiple of 41756 and 9620. 7724860 Find the common denominator of 73/17360 and -101/1790684. 35813680 Calculate the common denominator of 17/13429768 and -3/37370. 2484507080 Find the common denominator of -83/3409224 and -31/470976. 300011712 Calculate the common denominator of 43/43080 and -143/22650. 32525400 Find the common denominator of 149/11307600 and 167/66600. 418381200 What is the lowest common multiple of 144 and 4489524? 17958096 What is the common denominator of 35/32604 and -26/16489? 48873396 Find the common denominator of -73/3651340 and 113/210. 10954020 What is the smallest common multiple of 652190 and 1210? 652190 What is the common denominator of 99/1711070 and -8/19395? 15399630 Calculate the lowest common multiple of 35 and 53451531. 267257655 What is the common denominator of 13/1499644 and 113/4498932? 4498932 Calculate the common denominator of -81/2204 and -33/106285. 8077660 What is the least common multiple of 38253 and 2142168? 2142168 Calculate the lowest common multiple of 19788 and 855152. 43612752 Calculate the lowest common multiple of 403200 and 28000. 2016000 What is the common denominator of -16/43136019 and -34/453? 43136019 What is the common denominator of -45/1561802536 and -69/16? 3123605072 What is the common denominator of 37/176251738 and -149/5574? 528755214 Calculate the smallest common multiple of 5309100 and 20. 5309100 Calculate the least common multiple of 2415585306 and 5. 12077926530 Calculate the common denominator of 59/6377 and 97/9110. 63770 What is the lowest common multiple of 1560 and 4410? 229320 What is the least common multiple of 12173 and 413? 718207 What is the smallest common multiple of 530 and 68123? 36105190 Find the common denominator of -47/232 and 12/13877305. 3219534760 What is the lowest common multiple of 51904056 and 285472308? 570944616 Calculate the smallest common multiple of 11214203 and 4235. 616781165 What is the smallest common multiple of 169938 and 3087? 58288734 Calculate the least common multiple of 36330 and 1992. 12061560 Calculate the lowest common multiple of 24640 and 4592. 1010240 Calculate the smallest common multiple of 1133 and 87550. 963050 What is the smallest common multiple of 4233 and 183532? 45699468 Calculate the lowest common multiple of 60330 and 11694. 117583170 Calculate the least common multiple of 623807 and 885. 9357105 What is the lowest common multiple of 110934768 and 342? 332804304 Calculate the least common multiple of 1226176 and 76636. 1226176 Calculate the smallest common multiple of 37632 and 16816128. 117712896 What is the common denominator of -23/1674888 and 73/92? 38522424 What is the smallest common multiple of 1099 and 110528? 773696 Calculate the lowest common multiple of 56 and 143451021. 1147608168 What is the common denominator of -11/1875 and 37/329853? 206158125 What is the smallest common multiple of 4727139 and 590? 47271390 Calculate the common denominator of -25/493392 and -39/4328. 493392 Find the common denominator of -37/2530392 and 49/105433. 2530392 What is the least common multiple of 330429572 and 240312416? 2643436576 What is the common denominator of -50/1281 and 50/651? 39711 Calculate the lowest common multiple of 143 and 5963256. 65595816 Find the common denominator of 53/340 and 45/55744. 4738240 Calculate the lowest common multiple of 1039434 and 131630142. 1447931562 What is the common denominator of -17/5348633 and -85/712? 42789064 Calculate the smallest common multiple of 97579442 and 12. 585476652 What is the common denominator of -47/101436 and 16/22673? 29112132 Calculate the common denominator of 29/8560 and 55/18093914. 723756560 Find the common denominator of 137/434277450 and 131/602640. 3474219600 Find the common denominator of -7/64614 and 23/1641783. 36119226 Find the common denominator of -13/384 and -23/238288. 5718912 Find the common denominator of 52/12601575 and -107/74676. 50406300 What is the smallest common multiple of 103309 and 21? 2169489 What is the smallest common m
{ "pile_set_name": "DM Mathematics" }
usand? 390000 Round 32318474540 to the nearest 1000000. 32318000000 Round -0.0000045175603 to 7 dps. -0.0000045 What is -0.02478848629 rounded to 6 decimal places? -0.024788 Round 1947795710 to the nearest 100000. 1947800000 What is 55537494900 rounded to the nearest 1000000? 55537000000 Round 1509886.52 to the nearest 1000. 1510000 What is 6102275.24 rounded to the nearest ten thousand? 6100000 What is -0.401053549 rounded to 2 decimal places? -0.4 What is 13.081291 rounded to 2 decimal places? 13.08 Round 0.0012526848 to 5 decimal places. 0.00125 Round 899235.584 to the nearest 100000. 900000 Round 0.0665073727 to six dps. 0.066507 What is -0.00069012563 rounded to 5 dps? -0.00069 What is 10765.0106 rounded to the nearest ten thousand? 10000 What is 0.0003004867074 rounded to 7 decimal places? 0.0003005 Round 0.0046699289 to six decimal places. 0.00467 Round 873.306777 to the nearest 10. 870 Round -215161.081 to the nearest ten. -215160 What is -9607.788 rounded to the nearest 10? -9610 Round 7823251.5 to the nearest ten thousand. 7820000 What is -0.243641659 rounded to one dp? -0.2 Round 54.98249138 to three decimal places. 54.982 Round 150112.487 to the nearest 100. 150100 Round -12.38433992 to 0 decimal places. -12 Round 2.046770626 to four decimal places. 2.0468 What is -6.6670686 rounded to 3 decimal places? -6.667 What is 5548725 rounded to the nearest 10000? 5550000 What is -2951.55748 rounded to the nearest 10? -2950 Round -0.011404545 to 5 dps. -0.0114 What is -105258.2508 rounded to the nearest one thousand? -105000 What is 351166.9911 rounded to the nearest 100? 351200 Round 540879 to the nearest one hundred. 540900 What is 122.14508689 rounded to the nearest 10? 120 Round 7.4416949 to 0 decimal places. 7 What is 19.6899876 rounded to two decimal places? 19.69 What is 6.09148975 rounded to one dp? 6.1 Round -22.15757547 to the nearest 10. -20 Round 239.645845 to 0 dps. 240 What is -685.492669 rounded to 1 decimal place? -685.5 Round -12.30600228 to 4 dps. -12.306 What is -2398.5794 rounded to the nearest one thousand? -2000 Round -2.91016947 to 2 decimal places. -2.91 Round -99210.4134 to the nearest ten. -99210 Round 85.1385386 to 2 decimal places. 85.14 Round -196301.33 to the nearest 1000. -196000 Round -700989.2249 to the nearest one thousand. -701000 What is -144399696.5 rounded to the nearest one million? -144000000 Round -79958336 to the nearest ten thousand. -79960000 What is -0.002156123033 rounded to four dps? -0.0022 What is 41233300.47 rounded to the nearest 100000? 41200000 What is 1247231.53 rounded to the nearest ten thousand? 1250000 What is 99.2803794 rounded to 2 decimal places? 99.28 Round -0.004597887687 to 6 dps. -0.004598 What is -80.149918 rounded to the nearest 10? -80 What is -7497275.696 rounded to the nearest ten thousand? -7500000 What is 0.001793007009 rounded to four decimal places? 0.0018 Round -30.4737773 to 3 decimal places. -30.474 Round -0.00003153467446 to seven dps. -0.0000315 What is -79698.217 rounded to the nearest 100000? -100000 Round 0.007755194464 to 4 decimal places. 0.0078 Round 6.37637458 to the nearest integer. 6 Round 124.437833 to two decimal places. 124.44 Round 2.471138948 to three dps. 2.471 Round -10.8053546 to two decimal places. -10.81 Round -183451563 to the nearest one hundred thousand. -183500000 What is -70490839.2 rounded to the nearest 1000000? -70000000 What is 792.40443 rounded to the nearest ten? 790 Round -24287.219312 to 1 decimal place. -24287.2 What is -31829.2149 rounded to the nearest 1000? -32000 Round -50652413.5 to the nearest one hundred thousand. -50700000 What is 0.1092947732 rounded to three decimal places? 0.109 What is 6479.0291 rounded to 0 dps? 6479 What is -2240.565388 rounded to one decimal place? -2240.6 What is -0.00000043295006 rounded to 6 dps? 0 Round 0.18380145 to 1 decimal place. 0.2 What is 394698779.4 rounded to the nearest ten thousand? 394700000 What is 0.4468737496 rounded to three decimal places? 0.447 Round -3770.9627 to the nearest 1000. -4000 Round -0.0000397041987 to seven dps. -0.0000397 What is 0.0003462775311 rounded to seven decimal places? 0.0003463 Round 70765.51578 to the nearest one hundred. 70800 What is 0.0081063 rounded to two decimal places? 0.01 Round 0.000331358548 to five decimal places. 0.00033 What is -13825.54165 rounded to the nearest one thousand? -14000 Round 0.0537567336 to 6 decimal places. 0.053757 What is 522772500 rounded to the nearest 1000000? 523000000 Round 3585.38291 to 0 dps. 3585 What is 7997.455429 rounded to the nearest 10? 8000 What is -10569295.045 rounded to the nearest 1000? -10569000 What is -16555092.6 rounded to the nearest one thousand? -16555000 What is -0.00581216105 rounded to 6 decimal places? -0.005812 What is -0.001838024107 rounded to six dps? -0.001838 What is 14.95491145 rounded to two decimal places? 14.95 What is -1661597.091 rounded to the nearest 100000? -1700000 What is -283.3935788 rounded to the nearest 10? -280 Round 77.89796236 to the nearest ten. 80 Round -204799.717 to the nearest one thousand. -205000 Round -62896.364 to the nearest ten thousand. -60000 Round 0.10030408 to four decimal places. 0.1003 What is 4.5312042 rounded to 0 decimal places? 5 Round 2037.913725 to the nearest ten. 2040 Round 561963.94 to the nearest 100. 562000 Round 0.52009261 to zero decimal places. 1 What is 924442636 rounded to the nearest 100000? 924400000 What is 0.00132562475 rounded to 4 dps? 0.0013 What is 11409.94114 rounded to the nearest 1000? 11000 What is -222314705 rounded to the nearest one million? -222000000 What is -0.0000173559968 rounded to 5 dps? -0.00002 Round -0.000000390641079 to 7 decimal places. -0.0000004 What is 598165.6067 rounded to the nearest one hundred? 598200 What is 2688851.679 rounded to the nearest one hundred? 2688900 Round 0.00064472107 to four dps. 0.0006 Round 2.5094434 to 3 decimal places. 2.509 Round 116.0428736 to the nearest ten. 120 Round 19.77385474 to 2 decimal places. 19.77 What is 50.3714843 rounded to two dps? 50.37 Round 393.6288783 to 2 decimal places. 393.63 Round 120019.132 to the nearest 10000. 120000 What is -0.00084007477 rounded to 7 dps? -0.0008401 What is -454.15395 rounded to the nearest one hundred? -500 What is 0.0063185714 rounded to four dps? 0.0063 Round 0.11477831444 to 2 dps. 0.11 Round 29695333 to the nearest 10000. 29700000 Round 0.0003072579 to six decimal places. 0.000307 What is 158.1760924 rounded to 0 decimal places? 158 What is 35464278.66 rounded to the nearest one thousand? 35464000 Round -0.026424863 to five decimal places. -0.02642 What is 61158235 rounded to the nearest one hundred thousand? 61200000 Round -467108445 to the nearest 1000000. -467000000 Round -0.0002270223977 to 7 dps. -0.000227 Round 0.0024616594515 to six dps. 0.002462 Round -403036.872 to the nearest 10. -403040 What is -0.000000071225327 rounded to 7 decimal places? -0.0000001 What is -175.725368 rounded to the nearest one thousand? 0 Round 14996.930113 to 1 dp. 14996.9 What is -0.02566002 rounded to six decimal places? -0.02566 Round -18007749.6 to the nearest one million. -18000000 What is 0.2706564478 rounded to 4 decimal places? 0.2707 Round -108208.063 to the nearest one hundred. -108200 What is 3.874706367 rounded to two decimal places? 3.87 What is 0.127332394 rounded to 5 dps? 0.12733 What is 1.85399817 rounded to the nearest integer? 2 Round 781678.801 to the nearest 100000. 800000 What is 5.12188887 rounded to two decimal places? 5.12 Round -27274486 to the nearest one million. -27000000 What is -3245748.82 rounded to the nearest 100000? -3200000 What is 0.0013182548 rounded to 6 decimal places? 0.001318 What is -4.3855898 rounded to 1 decimal place? -4.4 Round 5142.84546 to the nearest one thousand. 5000 Round 0.5243131996 to two decimal places. 0.52 What is -0.03507343873 rounded to six decimal places? -0.035073 Round -0.06607147551 to four decimal places. -0.0661 What is -5207.38536 rounded to 0 decimal places? -5207 Round 579.433883 to the nearest one hundred. 600 What is 4086.2062 rounded to the nearest 10? 4090 What is -8.57941245 rounded to 3 decimal places? -8.579 What is 81.34561237 rounded to two decimal places? 81.35 Wha
{ "pile_set_name": "DM Mathematics" }
u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)? -2*o**3 Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)? -y**3 + 2*y Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*q + 3*q + d, 0 = -5*q - 5*d + 15. Let v(u) = -4*u**2 - 3*u - 1. Give q*v(b) + 3*w(b). b**2 - 2 Let l(n) = -4*n**2 - 12. Let k(h) = 9*h**2 + 23. Calculate -2*k(v) - 5*l(v). 2*v**2 + 14 Let n(d) = -d + d + 8 + 11*d. Let u(p) = -4*p - 3. What is -3*n(h) - 8*u(h)? -h Let u(m) be the third derivative of m**5/60 - m**4/24 - m**3/6 - 40*m**2. Let l(q) = -2*q**2 + 2*q + 5. What is -l(k) - 5*u(k)? -3*k**2 + 3*k Let b(y) = y - 2*y**2 + y**3 + 0*y + 3*y + 6. Let n(f) be the second derivative of -f**5/20 + f**4/6 - f**3/2 - 5*f**2/2 - 37*f. Give 5*b(p) + 6*n(p). -p**3 + 2*p**2 + 2*p Let y(d) = 0*d - 3*d**3 + 6*d**2 + 4*d + 10 - 15. Let a(w) = 6*w**3 - 11*w**2 - 7*w + 9. What is 6*a(s) + 11*y(s)? 3*s**3 + 2*s - 1 Let o(z) = -26*z - 3. Let v(k) = 12*k + 1. Let y(r) = -4*o(r) - 9*v(r). Let i(l) = -12*l + 10. Calculate 3*i(u) - 10*y(u). 4*u Let w(t) = t**3 + 2*t**2 - 2*t. Let a(x) = -5*x**3 - 9*x**2 + 9*x. Suppose n - 54 = -n. Let d be 1/(((-12)/n)/4). Let h be 4/3 - 6/d. Determine h*a(u) + 9*w(u). -u**3 Let r(x) = x**2 + 5*x + 5. Suppose -2*s + 1 = -0*s - k, -2*s - 5*k - 5 = 0. Let b = s + 2. Let c(y) = y + 2*y + y**b + 0*y + 3. Give 5*c(d) - 3*r(d). 2*d**2 Let b(t) = t**2 + t. Let o(k) = -k**2 - 2*k + 2. Calculate 2*b(d) + o(d). d**2 + 2 Let b(k) = -k**2 - k + 1. Let l(i) = 3*i**2 + 5*i - 6. Suppose 0 = -2*j + 6*j + 8. Let o be (j/4)/(4/8). Determine o*l(d) - 5*b(d). 2*d**2 + 1 Let m(t) = t - 14. Let v(w) = 1. Give m(q) - 2*v(q). q - 16 Let p(z) = -4*z**2 + 2*z - 10. Let o(b) = 5*b**2 - 3*b + 11. Give 2*o(f) + 3*p(f). -2*f**2 - 8 Let i(w) = -3*w**2 - 12. Let k(p) = -p**2 + 4*p - 7. Let x be k(5). Let b(y) = y**2 + 5. Determine x*b(c) - 5*i(c). 3*c**2 Let y(w) = w. Let t be -1 - (-6 - 0 - -2). Suppose -5*v - 15 = 4*m, -5*m + m = v + t. Let s = 19 + -20. Let i(n) = -n - 1. Determine s*i(h) + v*y(h). -2*h + 1 Let x(d) be the first derivative of 2*d**2 + 6*d - 51. Let t(m) = 1. Calculate 6*t(n) - x(n). -4*n Let y(h) = 19*h**3 + 4*h**2 + 4. Let t(n) = 39*n**3 + 7*n**2 + 7. Calculate 4*t(x) - 7*y(x). 23*x**3 Let y(h) = 9*h - 11. Let j(w) = 1 - 9 + 2 + 5*w. Determine -11*j(p) + 6*y(p). -p Let h(q) = 28*q - 8 - 23*q + 4. Let o(j) = -11*j + 9. What is -5*h(a) - 2*o(a)? -3*a + 2 Suppose 2*p + 1 = 5*i, 3*p + 7 = i + i. Let z = -1 - -3. Let a(t) = -t - 2*t - z*t. Let v(r) = r. Give p*v(y) - a(y). 2*y Let g(s) be the first derivative of -11*s**5/120 + s**4/4 + 2*s**3/3 + 3. Let y(d) be the third derivative of g(d). Let k(z) = 4*z - 2. Give 8*k(o) + 3*y(o). -o + 2 Let o(m) = -6*m**3 + 3*m**2 - 4*m - 1. Let f(k) = -11*k**3 + 5*k**2 - 7*k - 1. Calculate -3*f(i) + 5*o(i). 3*i**3 + i - 2 Let i be (0/(-8))/(5 + -2). Let q(p) be the second derivative of -7/12*p**4 - 1/3*p**3 + i + p - 7/2*p**2. Let o(x) = -3*x**2 - x - 3. What is 10*o(h) - 4*q(h)? -2*h**2 - 2*h - 2 Let o(s) = 25*s. Let t(f) = -49*f. Give -11*o(j) - 6*t(j). 19*j Let x(v) be the first derivative of -5*v**2 - v + 1. Let c = -65 - -58. Let l(k) = 3*k. Calculate c*l(u) - 2*x(u). -u + 2 Let x be 9/1 + (-1 - 1). Let b(o) = -7*o**2 + o - 6. Let i be (-9 - -2)*1/(-1). Let l(y) = y - 2*y**2 + i - 2*y + 10*y**2. Give x*b(h) + 6*l(h). -h**2 + h Let f(z) = 3*z + 2. Let x(m) = -2 - 3 - 149*m + 73*m + 69*m. What is 5*f(l) + 2*x(l)? l Let g(a) = 16*a**3 + 7*a**2 + 7*a - 7. Let t(x) = 5*x**3 + 2*x**2 + 2*x - 2. Determine 2*g(s) - 7*t(s). -3*s**3 Let h(m) = -11*m + 31. Let s(u) = 6*u - 16. Calculate 4*h(c) + 7*s(c). -2*c + 12 Let q(u) be the first derivative of 3*u**2 + 6*u - 2. Let c(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Determine -10*c(g) - 2*q(g). -2*g - 2 Let z(s) = s**2 - s + 1. Let t(r) = -11*r**2 + 4*r - 3. Calculate t(d) + 3*z(d). -8*d**2 + d Let o(t) = -9*t**2 - 8*t + 10*t**2 + 3*t + 2. Let z(q) = q**2 - q. What is -o(j) + 3*z(j)? 2*j**2 + 2*j - 2 Let a(f) = -f + 1. Let z(m) = -14*m + 7*m + 4 + m. What is 2*a(o) - z(o)? 4*o - 2 Let i(o) = o**3 - 2*o**2 + 3*o - 3. Let h(p) be the first derivative of 1/2*p**4 + 2*p**2 + 1 - p**3 - 4*p. Give -2*h(x) + 3*i(x). -x**3 + x - 1 Let v(a) = -a. Let z(j) = -j**3 - 2*j**2 + j - 4. Let k be z(-4). Suppose 0 = -x + 5, -b - 7*x + k = -2*x. Let r(w) = -4*w. Determine b*r(g) + 3*v(g). g Let w(q) = -q**2 + 1. Let u be (4/6)/(4/6). Let n = 3 - 6. Let y(h) = h**2 - 5*h**2 - h + 0 + 3. What is n*w(v) + u*y(v)? -v**2 - v Let k(z) = -9*z - 18. Let n(o) = -1. Give -k(u) + 18*n(u). 9*u Let i(g) = 2*g**2 + 17*g. Let b(n) = 2*n**2 + 16*n. What is -6*b(a) + 5*i(a)? -2*a**2 - 11*a Let l(n) = n**2 + n - 1. Let o be 10/(-4)*(-8)/10. Let w(k) = -k. Let c(m) = -2*m - 2*m + 2*m. Let y(i) = o*c(i) - 6*w(i). Give l(t) - y(t). t**2 - t - 1 Let d(k) = -5*k**3 - 5*k**2 + 11*k. Let g = -3 - -5. Let n(m) = -m**3 - m**2 + 2*m. Let w = -332 - -321. What is g*d(a) + w*n(a)? a**3 + a**2 Let h(j) = 3*j**2 - 7*j - 4. Let l(z) = -3*z**2 + 8*z + 3. Determine 3*h(d) + 4*l(d). -3*d**2 + 11*d Let h = -449 - -444. Let g(l) be the third derivative of -7*l**6/120 - l**4/8 - l**3/2 + l**2. Let u(x) = 3*x**3 + x + 1. Calculate h*u(t) - 2*g(t). -t**3 + t + 1 Let s(c) = -2*c - 5. Let x(u) = 5*u + 14. Let k(o) = -o**3 + 3*o**2 + 3*o - 4. Let t be k(4). Let l(b) = -2*b + 3. Let v be l(3). Calculate t*s(p) + v*x(p). p - 2 Let n(p) = p + 5. Let c be (-5)/90*-6 + 16/(-3). Let b(x) = 2*x + 8. Suppose 44 = 3*j - 5*h, 4*j + 3*h - 36 = 4*h. Determine c*b(s) + j*n(s). -2*s Let y(m) = -14*m + 6. Suppose -x - 3*j = -5*x - 41, -x = 5*j + 16. Let h(r) = 9*r - r - 2 - 3*r. Determine x*h(g) - 4*y(g). g - 2 Let c(i) = -6*i - 1. Let m(u) = -6*u - 1. Give -6*c(z) + 5*m(z). 6*z + 1 Let c(o) be the third derivative of -o**6/120 - o**4/24 - o**3/6 - 9*o**2. Let y(d) = -5*d**3 - d**2 - 3*d - 3. Determine 3*c(h) - y(h). 2*h**3 + h**2 Let w(q) = 3 + 6*q - 3*q - 3*q + q. Let v(n) = n + 6. What is -3*v(h) + 5*w(h)? 2*h - 3 Let t(q) = 4*q + 1. Suppose -3*z - 3*p - 10 = 2*p, -4*z + 4*p - 24 = 0. Let a(s) = -7*s - 1. Determine z*t(u) - 3*a(u). u - 2 Let w(t) = 1. Let o(b) = -b + 3. Let u(l) = -l**2 - 4*l + 1. Let n be u(-3). Suppose -4*a - n*g - 3 = 1, 3*g + 10 = 4*a. Calculate a*o(j) - 3*w(j). -j Let i(p) = 4*p - 1. Let g(o) = 7*o - 2. Suppose -24 = -6*d + 14*d. Give d*g(u) + 5*i(u). -u + 1 Let n(o) = 21*o**2. Let f(s) = s**2. Determine -6*f(j) + n(j). 15*j**2 Suppose -3*s = 2*r - 6*s, -4*s = 3*r - 17. Let z(v) = v**3 - 5*v - 4. Let b(f) = f**3 - 4*f - 4. Calculate r*b(c) - 2*z(c). c**3 - 2*c - 4 Let s(k) = 46*k**2. Let h(x) = 231*x**2. Give 3*h(f) - 14*s(f). 49*f**2 Let r(g) = -7*g**3 + 2*g**2. Let k(z) = -z**3. Determine -6*k(f) + r(f). -f**3 + 2*f**2 Let w(z) = 9*z**3 - 4*z**2 - 5. Let a(b) = -8*b**3 + 3*b**2 + 4. What is -5*a(i) - 4*w(i)? 4*i**3 + i**2 Let u(f) = -8*f**3 + f**2 - 6*f + 7. Let n be (13 - 1)*(-4)/(-8). Suppose t = -5 - n. Let m(o) = -15*o**3 + 2*o**2 - 11*o + 13. Determine t*u(a) + 6*m(a). -2*a**3 + a**2 + 1 Let u(d) = -d + 14. Let s(t) = -t - 20. Let i be s(-25). Let f(x) = x - 9. Give i*u(r) + 8*f(r). 3*r - 2 Let a(x) = -2*x**3 - 5*x + 5. Suppose -4*q + 19 + 1 = 2*v, q - 3 = 0. Let i(w) = -2*w**3 - 4*w + 4. Let u = -7 - -2. Calculate u*i(f) + v*a(f). 2*f**3 Let z(p) = -5*p**2 + 9*p - 88. Let u(c) = -3*c**2 + 5*c - 44. Calculate -7*u(a) + 4*z(a). a**2 + a - 44 Let d(p) = -p**3 - 2*p. Suppose 6*o + 11 = -1. Let x(k) = -2*k**3 - 3*k. Determine o*x(i) + 3*d(i). i**3 Let i(k) = 6*k**2 + 5*k - 2. Suppose -5*q - 17 = -s, 4*q = -0*q - 16. Let d(t) = -5*t**2 - 4*t + 2. Determine s*i(r) - 4*d(r). 2*r**2 + r - 2 Let u(k) = 21*k**2 + 9*k. Let m(z) = 5*z**2 + 2*z. Let w(g) = g**3 - 10*g**2 + 2*g - 7. Let s be w(10). Let l = s + -4. Determine l*m(a) - 2*u(a). 3*a**2 Let s(b) = b**2 - 6*b - 7. Let z be s(6). Let m(a) = a**2 + 0*a**2 - 2*a + 0*a**2. Let t(c) = -10*c - c**2 + 7*c + 2*c**2. Determine z*m(p) + 5*t(p). -2*p**2 - p Let k(y) = y - 1. Let w(p) = -p - 2*p + 5*p - 3 + 0*p. Let o be (-4)/2 + 2/2. Suppose -5*v - 19 = m, 5*m + 7 = -v - 2*v. Give m*k(q) + o*w(q). -q + 2 Suppose 18*t - 15*t = 9. Let l(z) = -z
{ "pile_set_name": "DM Mathematics" }
What is (-4 - 3)/7*4/(-22)? 2/11 What is ((-8)/(-9))/((-12)/(-54))? 4 What is the value of (-8)/(224/(-70))*(-36)/(-15)? 6 Evaluate (3/(-3))/(-4) - 35/20. -3/2 (3/(-5))/((-36)/40) 2/3 What is the value of (-118)/15 + 44/(-330)? -8 3*-1 + (-8 + 4 - -3) -4 What is (-12)/36*(-24)/(-56)? -1/7 What is the value of -29 - -27 - 7/(-1)? 5 Calculate ((-9)/15 + 1)/(-1). -2/5 -1*16/14 + (-370)/(-2590) -1 What is 2/(-8) + (-1)/4*-2? 1/4 What is the value of (-413)/(-84) - 4 - (-4)/48? 1 (-2)/(-8)*-1 - (-2)/(-8) -1/2 Evaluate ((-87)/(-203))/((-20)/(-14)). 3/10 2/3 + 7 + (-285)/36 -1/4 (3/7)/(17/(-119)) -3 Calculate 11 + (-9 - -7) + -8. 1 What is (27/(-198))/(-3 + (-21)/(-6))? -3/11 What is the value of 70/84 + 2/(-6)? 1/2 What is (3 - 88/33) + (-5)/6? -1/2 What is -8 + (-166)/(-21) - (-4)/6? 4/7 ((-3)/2)/(33/6 - 5) -3 Calculate (-30)/18*(-36)/15. 4 What is the value of 9/10 + 12/20 + -1? 1/2 What is the value of (10/30)/((-8)/6 - 1)? -1/7 Evaluate (2/4)/(((-2)/(-2))/(-4)). -2 What is 24/(-42) + (-13)/14? -3/2 What is the value of ((-84)/273)/(30/(-13))? 2/15 Evaluate 42/216 + ((-224)/(-63) - 4). -1/4 Evaluate (-96)/(-32) - (8 + -1). -4 (-28)/49*(-49)/(-70) -2/5 Calculate (30/21)/(114/(-133)). -5/3 Evaluate ((-6)/(-165))/((-3)/(2 - 17)). 2/11 Evaluate 4/10 - ((-51)/(-15) + -5). 2 2 - (52/(-44) + 3) 2/11 Evaluate (-504)/24 - (-28)/2. -7 (-64)/72 + -6*3/(-27) -2/9 Calculate ((-54)/(-8))/((-24)/32). -9 What is 2 + 185/65 - 10/(-65)? 5 What is (-1)/((0 - 0) + 3)? -1/3 Evaluate (-8)/32 + ((-38)/8 - -2). -3 Evaluate 5 + 8 + -14 + 2. 1 What is ((-72)/(-42))/(18/84) + 2? 10 -8 - -10 - -36*1/(-17) -2/17 (-124)/120 + 3/15 -5/6 What is (12 - 4)/(-4)*(1 + 0)? -2 (20/(-6) + 3)*(-3)/(-4) -1/4 (-5)/(-2)*2/70*2 1/7 What is ((-8)/32)/((-84)/(-288))? -6/7 (1/(-2))/((-117)/(-52)) -2/9 Calculate (-14)/42*(-6)/(-10). -1/5 What is 1204/238 + 1/(-17)? 5 Calculate (-8)/3*((-44)/8 + 4). 4 What is 2/(-15)*2/(4/6)? -2/5 Evaluate 80/30 - ((-4)/(-6) + 0). 2 Calculate (2 - 8)*(-2)/(-3). -4 Evaluate (16/14)/((-2)/7). -4 What is (36/210)/(17/(-10) - -2)? 4/7 What is (-6)/16 - (-13 + 630/112)? 7 What is ((-4440)/72)/37 + 2/3? -1 What is the value of (6/30)/((-3)/(-20)*2)? 2/3 Calculate (((-102)/4)/1)/6 + 4. -1/4 Evaluate (-104)/(-12) + -9 - 16/(-3). 5 What is the value of -12*(11 - (-64)/(-6))? -4 Evaluate -2 + 0 - (-9 + -36)/(-9). -7 Calculate ((-11)/((-66)/12))/(-2). -1 Calculate (-13)/52*(16/12 - 0). -1/3 Calculate 34/(-5) + 9/5. -5 (-4 - 0)*(1 - -1 - 1) -4 Calculate (391/30)/(-23) + (-2)/(-5). -1/6 What is the value of (-2)/(-17) + -2 + (-12)/102? -2 (168/(-126))/(22/3) -2/11 What is the value of (-36)/63 + 54/168? -1/4 Evaluate 1/(18/(-4)) + (-6)/(-27). 0 What is the value of 234/(-26) - 1/((-1)/4)? -5 Evaluate 3*(-10)/(-15) - (-1 + 0). 3 What is the value of 28/49 - (-10)/(-15)? -2/21 What is the value of 2/12 + -24 + 573/18? 8 Calculate (132/(-176))/((-12)/(-64)). -4 What is (266/24 + -11)*1*4? 1/3 Calculate (6/10)/((-33)/(-110)). 2 What is (-30 - -32) + 33/(-15)? -1/5 36/(-45) - 0 - 77/35 -3 What is the value of 104/(-30) - 2/(-3) - -3? 1/5 (168/(-20) - -8)*(-4)/8 1/5 (2/52)/((2 - -4)/24) 2/13 (-6)/((-840)/(-68)) - 3/(-15) -2/7 Calculate 6 - 114/(-90)*-5. -1/3 Evaluate (-96)/14 + 19/(-133). -7 What is 18 - 15 - (2*-6)/(-3)? -1 What is ((-12)/(-10))/(4/10) + 0? 3 ((-376)/120 - -2) + (-2)/10 -4/3 Calculate (-4)/((-28)/(-16) + 2/8). -2 What is (0 - -1)*(17 + -12)? 5 What is (((-90)/105)/(2/(-7)))/(-3)? -1 Calculate 1 + 4 + -5 - (-8)/(-52). -2/13 What is the value of (-1240)/(-4340) - (-1 - (-8)/7)? 1/7 Evaluate -3 - -15*(-10)/(-45). 1/3 What is ((-294)/153 + 2)/(26/39)? 2/17 What is (2/(-4))/((-1)/40*4)? 5 What is 1/(((-28)/6)/(4/6))? -1/7 ((-5)/6)/((-1)/2) 5/3 Evaluate 4*((-2)/16)/((-2)/8). 2 What is ((-1)/2)/((-55)/640) - 6? -2/11 Evaluate 30/(-9) + (-70)/6 + 11. -4 What is (-14)/(-12) + 75/90? 2 (-4)/22 + (-2345)/(-737) 3 What is 154/21 - 8/6? 6 ((-10)/60)/((-1)/(-2)) -1/3 Evaluate (11 + -1)*(-30)/(-75). 4 Evaluate -1*(4 + (3 - 4)). -3 What is (9 + -11)/(5 - (-45)/(-10))? -4 ((-4)/(-42))/((-1)/7*3) -2/9 (0 + -3 + 2)*1 -1 Calculate 516/387 - -2*1/(-3). 2/3 Calculate ((-35)/(-42))/(2/4). 5/3 What is (21/(-6) - -1) + 2? -1/2 (196/35 - 5)/((-2)/10) -3 Evaluate 2*(-5)/(-15)*(-1)/4. -1/6 What is the value of 68/11 - 6 - 0/1? 2/11 Calculate (-4)/3*(-86)/(-1376). -1/12 What is (102/153)/(4/42)? 7 What is (-17)/85 + (-6)/(-5)? 1 Calculate 2/4*(-4)/(-4). 1/2 Evaluate (-8)/20 + (-69)/15*1. -5 ((-9)/(-6))/((0 - 3)/6) -3 2 + 92/(-16) + 3 -3/4 Evaluate 7 - (9 + 24/(-36)). -4/3 What is the value of (1/(-4))/((-3)/(-18))? -3/2 Calculate ((-124)/(-279))/((-52)/(-18)). 2/13 What is the value of (-90)/(-35) - 26/13? 4/7 Evaluate (-36)/8 - (-6)/(-12). -5 What is (55/99 + (-1 - -1))/5? 1/9 (-6 + 3)*(-1)/1 3 What is the value of (-40)/110*(-6 - 5)? 4 What is 1*-1 - ((-5)/(-20) + -1)? -1/4 (406/(-42) + 8)/1 -5/3 What is the value of 4/(-6) - 1955/(-1785)? 3/7 Calculate (-4)/46 + 1288/(-9522). -2/9 What is (48/(-60))/(0 + 2/(-5))? 2 Evaluate ((-32)/(-28))/(70/(-49)). -4/5 What is the value of -11 - 3 - (-24 + 15)? -5 Calculate 11/(-10) - 60/(-100). -1/2 Calculate 136/(-714)*18/(-8). 3/7 What is (-8)/(-4 + (2 + -4 - -4))? 4 What is (2 + (-3)/2)*(-3 + -7)? -5 (-8)/(-10) - (-946)/(-645) -2/3 What is (0/(-6) - -15)/(1 + 2)? 5 What is (-10)/(-9)*7/35? 2/9 What is (3/(-6))/(15/6)? -1/5 1/(-3)*(52 - 43) -3 What is ((-27)/(-30))/(34/(-10) - -4)? 3/2 What is (-8)/60 - 22/(-15)? 4/3 What is the value of (17/(119/(-14)))/(0 + 11)? -2/11 2/8 + (2 - (-27)/(-12)) 0 Evaluate 8/676*13 + (-218)/(-104). 9/4 What is the value of (-27)/(-9) - (-8)/(-6)*6? -5 What is the value of (-3)/(-2)*4/6? 1 What is (37/(925/600))/((-6)/(-2))? 8 What is the value of ((-3)/(-44))/(((-6)/16)/(-1))? 2/11 What is 36 - 36 - 4/(-10)? 2/5 Evaluate 5*6/5 + -11. -5 Calculate (40/(-16) - -2)*(0 - -2). -1 What is the value of (-1)/2*(90/(-63) + 2)? -2/7 What is the value of (-1 - 3/(-5))/(42/35)? -1/3 (33/(-22))/(-2 - (3 + -6)) -3/2 What is the value of 2/3 - (2 + 60/(-18))? 2 What is the value of (39/(-65))/((-1)/(-5))? -3 Calculate 26/(390/75)*(-18)/(-10). 9 (-3)/((2/(-10))/(4/(-90))) -2/3 What is 2 + -1 - (-198)/(-154)? -2/7 What is the value of (-14)/(-77) + (-63)/(-77)? 1 (1 + -3 - -6) + 76/(-18) -2/9 What is (1 - 13/12)/(244/(-366))? 1/8 1 - (18/(-45))/((-2)/(-5)) 2 Evaluate -4 + (4 - (-6)/21). 2/7 What is (-38)/133*7/2? -1 (-12)/(-9)*(-16)/32 -2/3 What is the value of 5/1 - (5 + (-20)/(-25))? -4/5 Calculate (-552)/(-115) - (0 + 6). -6/5 Evaluate ((-32)/(-9))/2 + (-64)/(-288). 2 What is the value of -2*2 - (-378)/99? -2/11 Calculate -3*8/30*30/(-12). 2 (-102)/9 - 93/(-279) -11 What is the value of 0 + -3*(4 + -5) + 0? 3 Calculate 2/19 + 1872/8208. 1/3 Calculate 4/4 - (-2 + 1). 2 What is the value of (-1)/(-6)*1*3? 1/2 What is 2/(-20)*9*(-50)/(-30)? -3/2 What is 5/12 + -2 + 101/404? -4/3 What is the value of (3/4)/(-1 - 14/(-32))? -4/3 (-2*1/8)/((-18)/96) 4/3 What is 408/(-56) + (9 - 2)? -2/7 What is (6/9)/(30/9 - 5)? -2/5 What is the value of ((-27)/(-135) - (-27)/(-35))/2? -2/7 What is (-9)/285*10/(-3)? 2/19 What is (-3)/(-2)*(0 + (-2)/3)? -1 What is the value of 5/(175/(-10))*2/(-1)? 4/7 Evaluate (-8 - -6)/((-6)/(-2)). -2/3 What is ((-5)/25)/(3*(-3)/135)? 3 What is the value of (-28)/(-6) - -1 - 7? -4/3 Calculate (-12)/(-6) - (-18)/(-10). 1/5 What is 180/(-40)*4/3? -6 What is the value of (-30)/372*(368/(-40) + 10)? -2/31 Calculate (-5)/((-45)/6)*(-3)/(-15). 2/15 15/60*4/(-5) -1/5 What is 2/(-4)*-4 - -1? 3 What is ((-10)/(-4) - 1)*28/(-105)? -2/5 Evaluate (-2)/(-6) + 56/(-312). 2/13 Evaluate (-4)/3*9/24. -1/2 What is the value of (-6 - -2) + (-1 - (-7 - 1))? 3 Calculate (0 - 24/(-15))*(-365)/(-438). 4/3 What is (-2)/(5 + -3 - (-3 - -2))? -2/3 Evaluate (-1 - 3/15)/(18/60). -4 Calculate (42/12 + 1)/(21/28). 6 Calculate (2/4)/(42/(-36)). -3/7 What is (-15)/(-6)*10/(-5)? -5 What is the value of (-3)/((-63)/(-2))*1? -2/21 What is -18*3/9*4/(-6)? 4 What is (-3 - 135/18) + 9? -3/2 What is ((-89)/1780)/(2/(-8))? 1/5 (-16)/(-12) + 2/(-6) 1 What is the value of (-1)/(-9) + 57/(-27)? -2 What is ((-9)/90)/((-2)/36) - 2? -1/5 What is the value of (-66)/12*(-32)/44? 4 What is the value of 2/(-3)*(-8 - 1308/(-168))? 1/7 Evaluate ((-184)/(-16) + -12)/
{ "pile_set_name": "DM Mathematics" }
Product of 0.5 and -1896. -948 2.74 times 1.3 3.562 -1*-6.95 6.95 -0.03744*-3 0.11232 0.003 * 3 0.009 What is 0.4 times -0.0272? -0.01088 0.0288 times 1 0.0288 0.07*77.6 5.432 Multiply -0.4 and 360. -144 What is the product of 11 and 0.086? 0.946 Multiply -1.6 and 0.165. -0.264 Product of -42.5 and 0.04. -1.7 What is the product of 0.3 and -4.73? -1.419 86 * -0.5 -43 Product of -1.2 and -2.13. 2.556 Calculate 545*-0.2. -109 2391*-1 -2391 What is the product of 21.3 and 0.2? 4.26 Calculate 5*0.135. 0.675 -3429*-0.4 1371.6 Calculate 0.3*5048. 1514.4 -0.4 times 18 -7.2 Calculate -713*0.03. -21.39 Calculate -2*-427. 854 What is the product of -0.676 and 1? -0.676 -144.4 * -0.4 57.76 What is the product of 3 and 155? 465 Work out 10 * -0.6. -6 What is the product of 118 and 0? 0 -0.01*-2.62 0.0262 -5 * 4 -20 -20392 * -1 20392 Calculate 4*0.0483. 0.1932 -3929 * 0.2 -785.8 Work out 0.2 * -0.52. -0.104 What is the product of -1.44 and 3? -4.32 Calculate 7.9*0.5. 3.95 5963 times -0.4 -2385.2 What is the product of 681 and -4? -2724 -1 * -388 388 -0.4 * 0.016 -0.0064 What is -0.3 times -3.8? 1.14 Work out -0.3 * -328. 98.4 What is -3 times 0.0354? -0.1062 Calculate -0.36*-9. 3.24 Product of 1701 and -0.04. -68.04 What is 2 times 2.23? 4.46 What is the product of 11037 and 4? 44148 Calculate -2*-0.111. 0.222 Multiply 50 and -0.06. -3 What is 28 times -94? -2632 Product of 150 and 2. 300 -0.021 times -30 0.63 What is the product of -141 and -0.3? 42.3 Calculate 10230*3. 30690 What is the product of 3.14 and -11? -34.54 Calculate 3*254. 762 Work out -0.5 * -6133. 3066.5 Calculate -1338*0.1. -133.8 5*-197 -985 -5*3.9 -19.5 Product of -7.27 and -0.4. 2.908 Multiply -0.63 and 0.06. -0.0378 Multiply 3 and 151. 453 What is 151 times -0.2? -30.2 Product of -1 and 465. -465 What is the product of -0.186 and 3? -0.558 Multiply 1 and -112. -112 Calculate -1.54*-0.15. 0.231 What is the product of 25.46 and -5? -127.3 Multiply -2 and -9.6. 19.2 Product of -877 and -49. 42973 What is -680 times -0.1? 68 What is 2 times 0.3? 0.6 8*494 3952 -4.35 * -0.2 0.87 -0.065 times 11.2 -0.728 4 * 9.1 36.4 Multiply 251 and 3. 753 Multiply 486 and 1.2. 583.2 Work out 2 * -32. -64 Work out 0.2165 * -0.5. -0.10825 Product of 433 and 0.2. 86.6 Calculate -8*-0.435. 3.48 What is 106 times 2? 212 Multiply -41 and -41. 1681 Calculate 5*11. 55 954 * -0.5 -477 What is 0.057 times -1.1? -0.0627 What is 4 times -52? -208 -0.062 times 3 -0.186 -22*-0.048 1.056 -3 times -286 858 -1880*-0.1 188 What is -0.41 times 0.5? -0.205 -3*86.3 -258.9 What is the product of 3 and -0.329? -0.987 42 times -108 -4536 What is -21 times 0.35? -7.35 Multiply 9 and 27. 243 Product of 136 and 5. 680 8 times 72 576 Multiply 282 and -4. -1128 What is -0.07 times 0.043? -0.00301 -3 * 0.73 -2.19 Product of -3 and -3568. 10704 Multiply 3 and -0.008. -0.024 What is the product of 2 and 0.06? 0.12 0.00145 times -0.05 -0.0000725 What is the product of 12403 and -0.1? -1240.3 Product of -90 and 4. -360 Work out -251 * -18. 4518 Multiply 203 and -0.1. -20.3 Product of -6.268 and 0.2. -1.2536 What is -219 times -0.02? 4.38 What is -3.74 times -0.3? 1.122 Calculate 0.2*-1051. -210.2 1*-399.6 -399.6 862 times 2.8 2413.6 -2*0.25 -0.5 Multiply -0.2 and -1.577. 0.3154 What is the product of -0.15371 and -0.4? 0.061484 Product of 36 and -10. -360 Calculate -2.8*171. -478.8 Work out 603 * -0.2. -120.6 0.48 * -0.017 -0.00816 What is the product of 0.3 and -0.031? -0.0093 48*3 144 Multiply -0.1 and 5.895. -0.5895 -0.2*-6 1.2 Calculate -93*0.079. -7.347 Multiply 0.57 and -0.07. -0.0399 What is -3 times -655? 1965 -2*0.019 -0.038 -0.3 * 95 -28.5 3.87 times 0.1 0.387 What is the product of 24 and 0.362? 8.688 Calculate -0.4*40. -16 Calculate -12253*0.5. -6126.5 Calculate 12.09*-5. -60.45 -1 * -0.034 0.034 -4*80 -320 Product of 6.6716 and -3. -20.0148 Multiply -17.2 and 0.5. -8.6 Multiply 0.2 and 0.0303. 0.00606 -0.065 * 33 -2.145 What is 0.96 times -0.8? -0.768 Calculate 0.8*20. 16 7*-0.08 -0.56 Product of -1 and 408. -408 Work out 5 * -26. -130 Product of -0.36 and 0.51. -0.1836 Multiply 0.05 and -106. -5.3 -7479 * 0.3 -2243.7 -0.07 times -0.037 0.00259 What is 0.1 times -33.1? -3.31 3*3437 10311 Work out -3 * -1.262. 3.786 Work out -236.4 * -0.3. 70.92 -377 times 0.07 -26.39 0.3 * 2 0.6 Multiply -10 and -3.06. 30.6 0.4188 times 8 3.3504 -0.5 times -13.7 6.85 Calculate 0.3*-0.1616. -0.04848 What is 103 times -0.3? -30.9 Product of 0.009 and 0.8. 0.0072 Product of -2.4 and -170. 408 14841*-0.5 -7420.5 What is 2.3 times 30? 69 1.6*-0.15 -0.24 What is the product of 14 and -32? -448 Work out -0.008 * -300. 2.4 0.3 times -144 -43.2 Multiply -6.562 and -5. 32.81 Product of -0.0426 and 0.5. -0.0213 -0.2*0.144 -0.0288 -65 * 1.41 -91.65 0.23*-0.0229 -0.005267 Calculate -0.16*0.079. -0.01264 Product of -32 and -23. 736 -1222*2 -2444 Product of -0.05 and 1.3. -0.065 Product of 709 and -4. -2836 Work out -1461.9 * -4. 5847.6 Work out -0.2 * 1128. -225.6 4 times -54 -216 -2527 times 1 -2527 -1*74 -74 Calculate -2180*-0.4. 872 Multiply 0.00864 and 2. 0.01728 What is the product of 0.1 and 37? 3.7 What is the product of 0.31 and -3? -0.93 What is the product of -43.5 and -0.1? 4.35 Calculate -0.04*-2. 0.08 What is -224 times -0.2? 44.8 Multiply -0.04 and -0.14. 0.0056 Multiply -5 and 0.16. -0.8 Work out 0.45 * -8. -3.6 Product of 350 and 3. 1050 Product of -9 and 0.13. -1.17 What is -0.164 times -0.5? 0.082 -0.2*0.042 -0.0084 What is the product of -0.1206 and -0.2? 0.02412 Product of -2 and -0.053. 0.106 2 * -11 -22 113*-3.4 -384.2 -0.1 times -97 9.7 0.030909 times 3 0.092727 Multiply -3 and -0.86. 2.58 Product of -94 and 1.3. -122.2 Calculate -208*-0.3. 62.4 5*-0.0689 -0.3445 Calculate 4*-191. -764 Multiply -1910.7 and -1. 1910.7 Work out 0.108 * -4. -0.432 2156 * -0.1 -215.6 Multiply 0.3 and -6. -1.8 Multiply -0.4 and -58. 23.2 Multiply 1 and 1.6. 1.6 Work out -3.17 * 5. -15.85 What is the product of -2.3 and -10? 23 Calculate 3847*0.4. 1538.8 109 times -0.3 -32.7 What is the product of 6 and -0.1? -0.6 Product of 0.136 and -5. -0.68 Multiply 374 and -0.3. -112.2 What is 6.27 times 0.04? 0.2508 What is the product of 9 and 6.81? 61.29 -0.022 * 3.9 -0.0858 -135 * -0.04 5.4 What is the product of -12 and 4.83? -57.96 Product of 0 and 572. 0 18 * -5 -90 -36*-18 648 -0.31 times -0.11 0.0341 -0.0202 times 17 -0.3434 What is the product of 0.0476 and -0.5? -0.0238 Calculate -6.4*-0.06. 0.384 Work out 0.15 * 0.1031. 0.015465 Product of 0.04 and -19.3. -0.772 Product of 742 and -0.2. -148.4 -0.42 * 81 -34.02 Work out -2 * -2452. 4904 -521 times 0.4 -208.4 Calculate -0.48*-30. 14.4 42 * -0.4 -16.8 Work out -88 * -4. 352 Multiply -1 and -2492. 2492 -0.1 * 1669 -166.9 What is 3044 times -0.5? -1522 Product of -2 and -4. 8 Work out -0.12 * -0.2666. 0.031992 Multiply -1458 and 0.5. -729 Work out -0.168 * 0.1. -0.0168 What is 0.5 times 0.41? 0.205 6212 * 4 24848 What is 5.815 times -0.4? -2.326 What is the product of 2.4 and -0.8? -1.92 0.14 * 0.31 0.0434 Product of -76 and -22.4. 1702.4 -0.096 * -5 0.48 What is 0.1 times 1870? 187 -0.13 times 24 -3.12 Work out 3 * -0.051. -0.153 0*116 0 170 times 6 1020 What is -0.4 times 27? -10.8 -50.89 * -0.3 15.267 0.29 * 4.4 1.276 2963*-0.3 -888.9 5.6 * -0.5 -2.8 Product of 12 and -14. -168 -0.2 times 0.204 -0.0408 43 * -0.1 -4.3 1.3 * -26 -33.8 0.57*1.6 0.912 Work out 17 * -6. -102 Product of -0.4 and -1279. 511.6 What is 0.1 times 3027? 302.7 What is the product of 135 and 0.8? 108 Work out 0.031 * -4. -0.124 Multiply -7 and -0.0547. 0.3829 -5202 times -0.3 1560.6 Calculate -345*-0.04. 13.8 Multiply 0 and 24.27. 0 -0.3 * -0.053 0.0159 -7777 * 0.5 -3888.5 Calculate 104*-6. -624 What is the product of -396 and 21? -8316 Calculate -203*0.3. -60.9 -0.1 times 1791 -179.1 What is 2.1 times -17? -35.7 What is -198 times -4? 792 -3 * 6.2 -18.6 0.06*3939 236.34 Work out -36.2 * 4. -144.8 Calculate 0.11*13. 1.43 Multiply 3 and 0.071. 0.213 Calculate 1.86*0.3. 0.558 Work out -0.4 * -0.1896. 0.07584 Work out -0.39 * -0.12. 0.0468 -0.12 * -0.4 0.048 What is the product of -0.14 and -2.1? 0.294 Work out -77 * 5. -385 What is the product of 0.1828 and 3? 0.5484 What is the product of -0.3 and -9.99? 2.997 Calculate -4.9*0.01. -0
{ "pile_set_name": "DM Mathematics" }
Express 15*v**2 + 7 - 21 - 5*v**2 as l*v**2 + z*v + t and give z. 0 Express (-2*t**2 + 3*t - 3*t)*(2 - 2 + 9) + (2*t + 3*t - 4*t)*(-28 - t + 28) in the form x*t + z*t**2 + j and give x. 0 Express -11*z + 12*z**3 + 2 + 2*z + 5*z - z + 6*z in the form m + o*z**2 + x*z + g*z**3 and give g. 12 Express ((0 - 1 + 2)*(-1 + 2 + 1) + 36 + 257 + 71)*(-3*p + 7*p - 2*p) as k + m*p and give m. 732 Rearrange (106 + 133 + 132)*(-w**3 - w**4 + w**3) to r*w**2 + f*w**3 + m*w + y*w**4 + z and give y. -371 Express (-88*m - 8 + 1 + 90*m)*(0 + 1 + 0) + 93*m - 81*m - 86*m in the form q*m + o and give q. -72 Express (0*n**3 + 3*n**3 - 4*n**3)*(-3153 - 349 + 1315) as f*n**3 + p*n**2 + g*n + d and give f. 2187 Express 52*g**2 - 1181 - g - 20*g**2 + 1181 as l*g**2 + y + b*g and give b. -1 Rearrange (-1 + 2 + 1 - q**2)*(2*q + 7*q - 3*q - 1)*(74*q + 35*q - 30*q) to the form a*q**4 + f + b*q + d*q**3 + y*q**2 and give a. -474 Rearrange 72*g - 41*g + 44*g + 16*g - 5 to the form l*g + u and give l. 91 Rearrange 28 - 49 - 88 - 7 + d to m*d + g and give g. -116 Express (15 - 5 - 9 + 38)*(3 - 4 + 3*h + 7) in the form g*h + t and give t. 234 Rearrange x**4 - 83*x**2 - 2*x**4 + 16*x - 4*x**3 + 166*x**2 - 84*x**2 to the form l + j*x + f*x**2 + r*x**4 + g*x**3 and give j. 16 Express (65 - 49 - 36)*(2 - 2 + 3*v**3) + 0*v**3 + 0*v**3 - 2*v**3 as f*v**2 + j*v**3 + o + s*v and give j. -62 Express -s**3 - 4*s + 0*s**3 + 2*s + (-5*s - 4*s + 5*s)*(-109*s**2 - 6759 + 6759) as b*s + k + m*s**2 + n*s**3 and give b. -2 Express 36*i + 57*i - 77*i + 104*i - i**2 in the form y*i + x*i**2 + r and give y. 120 Rearrange (3*k - 3 + 3 + (k - 4 + 4)*(3 - 6 + 2) + k + 20*k + 3*k)*(-2 + 1 + 2) + 33 + 4*k - 33 to b + c*k and give c. 30 Express 15*w**3 + 2*w - 1 - 6*w + 3*w**2 - 46*w**3 + 28*w**3 - 2*w in the form g*w + r*w**2 + x + p*w**3 and give r. 3 Express 237*x + 32*x**2 - 237*x - 302*x**2 as p*x + v + l*x**2 and give l. -270 Rearrange -10*b**3 + 22 - 75 + 53 + (4*b - b**2 - 4*b)*(-1 + 2*b + 1) to the form r*b**2 + w*b + k*b**3 + i and give k. -12 Express 4*j**4 - 6*j**4 - j + 4*j**4 + 3*j**2 + 17*j**2 as v + k*j**2 + c*j + d*j**4 + i*j**3 and give d. 2 Rearrange 209*s + 562*s - 227*s to v*s + d and give v. 544 Express -8*p**4 + 218*p**2 - p**3 + 3*p**4 - 9*p - 218*p**2 + 36*p**4 + 2 in the form z*p**3 + q*p**2 + u + y*p**4 + w*p and give u. 2 Rearrange 2*j + 10*j + j - 2*j**2 - 3*j to h*j + i + v*j**2 and give h. 10 Express -8*m - 1 + 1 - 2 as k + t*m and give t. -8 Express (106 + 103 - 50)*(2 + o - 2)*(-2*o**2 + 0*o - 2*o - 2*o) in the form v*o + i + q*o**3 + h*o**2 and give h. -636 Rearrange 95 - 85927*y**3 + 0*y + 4*y**2 + 85928*y**3 + 0*y to b*y + i + l*y**3 + k*y**2 and give l. 1 Express 2 - 1142*o**3 - 1107*o**3 + 2280*o**3 as z*o**3 + x + i*o**2 + w*o and give i. 0 Rearrange -272*a**3 - 197*a**3 + 48*a**3 + (0 - 2 + 3)*(-2*a**2 + 2*a**2 - a**3) to the form v*a + x*a**2 + m + s*a**3 and give m. 0 Rearrange (-36 - 18 + 8)*(-2*l**2 - 4 + 4) + (0 - 2 - 6)*(0*l**2 + 0*l**2 - 2*l**2) to the form j*l**2 + p*l + g and give j. 108 Rearrange (4 + 28 - 4)*((2*s + 3*s - 6*s)*(-4 + 2 + 1) - 3*s + 2*s - s + s - s + 2*s)*(-9 + 8 - 64) to the form k + y*s and give k. 0 Express ((4 + 0 - 2)*(0 + 4 - 2) - 3 + 1 + 1)*(-7*q - 5 + 5)*(2 + 1 - 2)*(6 - 3 + 4) in the form x*q + g and give x. -147 Express -s**2 + 7226*s**4 - 5*s**3 + 7*s**2 + 1 - 7230*s**4 + 1 as w + x*s**2 + n*s + z*s**4 + r*s**3 and give r. -5 Express -2680*w + 2681*w + 113 + 5 in the form p*w + r and give p. 1 Rearrange 52 + 121 + 11*i**4 - 17*i**2 - 171 to the form k*i**2 + y*i**4 + a + l*i + n*i**3 and give y. 11 Express (-26*k**2 - 18*k**2 + 42*k**2)*(-8*k + 9*k**2 - 17*k**2 + 7*k) in the form h + d*k**3 + m*k**2 + u*k + w*k**4 and give d. 2 Rearrange (-g - 4*g + 6*g)*(3*g - 2*g + g) + (1 + 2 - 2)*(2*g**2 + g**2 - g**2) + 12 + 6*g**2 - 12 to i*g + u + v*g**2 and give v. 10 Rearrange (13 + 8*j - 13 - 3 + j + 3 + (1 - 2 + 3)*(-3*j + 4*j - 2*j) - 3*j + 2*j - 2*j)*(1 - 22 - 25) to the form m + d*j and give d. -184 Rearrange 8*b**3 - 1 + 27*b - 11*b - 19*b to the form i + l*b + v*b**2 + x*b**3 and give v. 0 Rearrange (0 + 0 + m + 2*m - m + m + (-3 - 4 + 6)*(1 - m - 1))*(-94*m**3 - 85*m**3 + 10*m**3) to the form x*m**3 + k*m**2 + t*m + l + z*m**4 and give z. -676 Express -3*i - 2*i**3 + 5*i**2 + 1 + 3*i**3 - 4 + 8*i**2 - i**2 as v + y*i + q*i**2 + u*i**3 and give u. 1 Express ((0*i - 3*i + i)*(-5 - 1 + 4) + 5*i - 5*i - i - 2*i - 4*i + 4*i)*(-415 - 396 + 827) as g*i + b and give g. 16 Express -7*z**4 + 1061*z + 3*z**3 - 22 - 1061*z - z**2 + 2 as f*z**4 + u*z + t + r*z**3 + x*z**2 and give t. -20 Rearrange (3 - 3 - 2 + (0 + 2 - 1)*(4 - 1 - 1) + 4 - 5 - 2 + (5 - 1 - 3)*(0 - 3 + 5))*(-1 - 7*d - 6*d + 10*d) to the form z*d + u and give z. 3 Express (-2 + 2 - i**2)*(46 - 27 + 3 + 206) in the form x*i**2 + d*i + p and give d. 0 Express (0 + 4 - 1)*(3*f + 0*f - 2*f)*(-72*f - 300*f - 132*f - 182*f) as i*f + m*f**2 + p and give m. -2058 Express 1 - 3*n - 437*n**2 + 439*n**2 + 2*n - 2*n**3 in the form p*n + x*n**2 + l*n**3 + z and give x. 2 Rearrange -2 + 2 - x**2 + (0*x - 2*x + 6*x)*(30 - 30 + 8*x) + 0*x**2 + 3*x**2 - 4*x**2 to m*x + d*x**2 + l and give d. 30 Rearrange (-l + 5*l + l)*(-9 + 4 - 5*l + 1) to the form h*l**2 + c*l + z and give h. -25 Rearrange -37 - 28 + 65 - 1172*i - 246*i to m*i + t and give m. -1418 Rearrange 7*k**2 + 10*k + k**4 - 10*k + 2*k**3 - 8*k**2 to m*k**3 + g + l*k + o*k**2 + p*k**4 and give p. 1 Express (-v - v + 3*v)*(69 + 14*v - 69)*(1 + 0 + 3)*(5 + 0 - 3) in the form i + b*v + d*v**2 and give d. 112 Rearrange 4 - 15 - h + 6 + 6 to b*h + d and give b. -1 Express (-6*t**4 + 3*t**4 - 5*t**4)*(0 + 1 + 8) + 2*t**4 - 3*t**4 - 2*t**4 as k*t + c + d*t**4 + u*t**3 + x*t**2 and give x. 0 Rearrange 0*s**3 - s**4 + 0*s**4 - 10*s - s**4 - 2*s**3 - s**2 to the form z*s + w*s**2 + j + h*s**4 + i*s**3 and give h. -2 Rearrange 6 - 6 - s + (0 - 3 + 1)*(s - 2*s + 3*s) + (s + 2*s + 0*s)*(-3 + 3 - 3) to the form f*s + n and give f. -14 Express (-2 - 2 + 0)*(231*k**2 - 17 - 232*k**2 + 66)*(-2*k - 3*k + 4*k) in the form q*k**3 + y + j*k + g*k**2 and give j. 196 Rearrange 2*d**2 + 3*d - 3*d + (d**2 - 5*d**2 + 2*d**2)*(1 - 9 + 1 + (4 - 10 - 5)*(-3 - 4 + 6)) to the form c*d + z*d**2 + i and give z. -6 Express 2 + 156 + 15*b - 7 - 13*b + 95 - b**2 as w*b**2 + q + r*b and give w. -1 Express (24*y - 14*y**2 - 24*y + (2 - 2 + y)*(0 + 0 + 2*y))*(-476 + 476 + 56*y**2) as x + v*y**2 + s*y + f*y**4 + w*y**3 and give f. -672 Express (3*c - 4 + 4)*(-3 - 3 + 2)*(724 - 83 - 50 - 36) as i*c + r and give i. -6660 Express -11 + 11*k + 17*k**3 - 4*k - k - 7*k in the form n*k**2 + l + f*k**3 + v*k and give v. -1 Express 87*p**2 + 123*p**2 - 438*p**2 - 402*p**2 - 126*p**2 as v*p + n*p**2 + u and give n. -756 Rearrange 37 + 0*s - 3*s + 41 - 155 + 48 to the form i + n*s and give i. -29 Rearrange 31 - 8*w**4 + 8*w**4 - w**3 + 38 + w**4 to the form i*w**3 + l + z*w + t*w**4 + d*w**2 and give t. 1 Express -2 + 2 - 2699*x + 2860*x in the form p*x + s and give p. 161 Rearrange -13 + 10 + 3 - 81*f**2 to the form u + r*f**2 + v*f and give r. -81 Rearrange 2527*l**2 + 2339*l**2 - 4298*l**2 to the form k + z*l**2 + b*l and give k. 0 Express 52*d + 542 - 542 in the form j + f*d and give f. 52 Express -3435*s**2 - s + s + 3456*s**2 in the form b*s**2 + m + v*s and give b. 21 Express (0*o + 0*o - 2*o)*((-1 - 4 + 4)*(-3*o + 4*o - 3*o) + (-o - o + 3*o)*(261 + 84 - 34))*(-3 + 3 - 1)*(-2 + 3 + 1) in the form v*o**2 + h*o + t and give v. 1252 Express (-4 + 2 - 3)*(0 + 1 - 3)*(-61953*t**2 - 36*t**3 + 61953*t**2) as p*t + i*t**3 + m*t**2 + u and give i. -360 Rearrange 8*c - 2 + 9*c**3 + 4 + 3*c**3 - 17*c**3 to k*c**2 + t*c + m*c**3 + q and give m. -5 Rearrange -72*w**2 - 86*w**2 - 66*w**2 + 28*w**2 to f*w + g + p*w**2 and give p. -196 Express -21 - v**2 + 0*v - 35 + 0*v in the form k*v + c + t*v**2 and give c. -56 Express 5 - 244*f + 4 - 13 + 3 in the form u*f + g and give g. -1 Express (-25*r**2 - 15*r**2 + 68*r**2)*(1 - 3 - 2) in the form s*r + p*r**2 + x and give p. -112 Express (1 - 16 + 4)*(b - b + 4*b**3) - 4*b**3 + 3*b - 3*b in the form w*b**3 + y*b**2 + l*b + x and give w. -48 Express (17 + 16 - 1)*(4*n + 8*n - 2*n) - 2*n - 4 + 4 in the form s*n + k and give s. 318 Express -37*f +
{ "pile_set_name": "DM Mathematics" }
)*(b + 9366) Factor -4*d**2 + 1788*d + 3444472. -4*(d - 1178)*(d + 731) Suppose -n**3/2 + 12621*n**2/2 + 582729*n/2 - 595349/2 = 0. What is n? -47, 1, 12667 Determine b, given that -b**2 - 9187081*b = 0. -9187081, 0 What is d in d**3 + 3995668*d**2/5 - 1598271*d/5 - 2397402/5 = 0? -799134, -3/5, 1 Factor 15*n**2 + 26141615*n - 17427750. 5*(n + 1742775)*(3*n - 2) Determine w, given that -2*w**3 - 10524*w**2 - 791160*w - 14977168 = 0. -5186, -38 Determine i so that 3*i**4 - 4482*i**3 + 646044*i**2 - 1318590*i - 2160359775 = 0. -49, 105, 1333 Find h such that -4*h**4/7 - 16804*h**3/7 + 67556*h**2 - 3196476*h/7 + 2740392/7 = 0. -4229, 1, 9, 18 Determine d so that -5*d**2 + 33992510*d - 57774536805005 = 0. 3399251 Determine t, given that -3*t**4 + 18765*t**3 - 29446704*t**2 + 321647172*t = 0. 0, 11, 3122 Solve 3*q**4 + 583056*q**3 + 37658909592*q**2 + 800923161252864*q - 479008542668888592 = 0 for q. -64978, 582 Solve -t**4/6 - 7*t**3/3 + 1063*t**2/2 + 6473*t/3 - 8060/3 = 0 for t. -62, -5, 1, 52 What is b in -3*b**3/5 + 12702*b**2 - 37925817*b/5 + 7572462 = 0? 1, 614, 20555 What is n in -2*n**2/11 + 35883148*n/11 - 160950038798738/11 = 0? 8970787 Find r such that -9*r**5 - 55140*r**4 + 1068687*r**3 - 4406106*r**2 + 3540852*r + 4646376 = 0. -6146, -2/3, 3, 14 Determine k, given that 14*k**5/9 - 80*k**4/9 - 838*k**3/9 + 1960*k**2/9 + 9824*k/9 - 10880/9 = 0. -5, -4, 1, 4, 68/7 Solve -3*n**2 + 4813227*n + 173280060 = 0 for n. -36, 1604445 Factor -3*h**3/4 + 3918771*h**2/2 + 15675093*h/4 + 1959387. -3*(h - 2612516)*(h + 1)**2/4 Factor -n**3 + 79332*n**2 + 7943101*n + 7863768. -(n - 79432)*(n + 1)*(n + 99) Factor -3*z**2 - 243135*z/2 - 2309241/2. -3*(z + 40513)*(2*z + 19)/2 Factor 57092*p**3 - 970560*p**2 - 68*p. 4*p*(p - 17)*(14273*p + 1) Factor 2*n**2/5 + 2054922*n/5. 2*n*(n + 1027461)/5 Factor 5*l**3 - 323340*l**2 - 2586965*l - 4850700. 5*(l - 64676)*(l + 3)*(l + 5) What is j in 6*j**3/11 + 2766*j**2/11 - 3803616*j - 49648781736/11 = 0? -1686, 2911 What is s in -2*s**3/9 + 29336*s**2/3 + 29350*s/3 - 1760200/9 = 0? -5, 4, 44005 Factor -3*w**3 - 19767*w**2 + 19788*w + 118620. -3*(w - 3)*(w + 2)*(w + 6590) Solve 2*j**4/3 + 1234168*j**3/3 + 63505747192*j**2 + 37305828030016*j/3 + 1827404963420288/3 = 0 for j. -308444, -98 Suppose 5*x**4 - 2087475*x**3 + 217889074380*x**2 - 2396502191980*x - 2614393353840 = 0. Calculate x. -1, 12, 208742 Suppose -n**3 - 18802*n**2 - 1348956*n - 7417080 = 0. What is n? -18730, -66, -6 Solve -m**4 + 600*m**3 - 50573*m**2 + 686214*m + 2530080 = 0. -3, 21, 80, 502 Factor 6338*o**2/7 - 28426*o/7 + 4500. 2*(o - 2)*(3169*o - 7875)/7 Factor x**2 - 8366811*x + 25100424. (x - 8366808)*(x - 3) Factor 2*n**4 - 158146*n**3 + 3128087550*n**2 - 71862378750*n. 2*n*(n - 39525)**2*(n - 23) Solve -b**3 + 4266*b**2 + 81565*b - 642750 = 0 for b. -25, 6, 4285 Determine r, given that r**3 - 22*r**2 - 76859*r + 230748 = 0. -268, 3, 287 What is z in 2*z**5/5 - 8464*z**4/5 + 8878428*z**3/5 + 161806144*z**2/5 + 160633850*z + 130050000 = 0? -9, -8, -1, 2125 Factor -3*b**2 - 75435*b + 18046602. -3*(b - 237)*(b + 25382) Suppose 12604*g**2/7 + 433940*g + 3856/7 = 0. Calculate g. -241, -4/3151 What is l in l**5/4 + 9787*l**4/2 + 47814333*l**3/2 - 383371434*l**2 + 7768835685*l/4 - 6044347575/2 = 0? -9795, 3, 6, 7 Let 3*z**4/4 + 1989*z**3/2 + 257178*z**2 - 49271040*z + 874473600 = 0. Calculate z. -728, 20, 110 What is g in -4*g**4 - 104940*g**3 - 667635696*g**2 + 272658118480*g - 1079943585600 = 0? -13310, 4, 381 Determine w, given that -2*w**3/5 + 40*w**2 + 9974*w/5 - 159068/5 = 0. -46, 13, 133 Factor -p**3 - 1123*p**2 - 257975*p + 33528859. -(p - 91)*(p + 607)**2 Determine k so that -122*k**2 + 982591*k/2 - 12081/2 = 0. 3/244, 4027 Solve -4*p**5 + 24148*p**4 + 96724*p**3 - 410692*p**2 - 580080*p + 869904 = 0 for p. -6, -2, 1, 3, 6041 Factor -x**3 + 9960*x**2 - 168971*x - 596580. -(x - 9943)*(x - 20)*(x + 3) Factor 25*b**2 - 70744755*b + 14148950. 5*(b - 2829790)*(5*b - 1) Determine f, given that -2*f**4/5 + 185456*f**3/5 - 370802*f**2/5 - 9457836*f/5 - 20028816/5 = 0. -4, -3, 9, 92726 Find m such that 2*m**5/5 + 302*m**4/5 + 8898*m**3/5 + 52594*m**2/5 - 1780*m - 52896/5 = 0. -114, -29, -8, -1, 1 Let 4*f**3 - 18436*f**2 - 24063480*f = 0. Calculate f. -1061, 0, 5670 Let -q**3 + 101*q**2 + 62356*q + 431200 = 0. What is q? -200, -7, 308 Solve 2*m**3 + 1046*m**2 + 40904*m - 180480 = 0 for m. -480, -47, 4 What is m in 2*m**3/3 - 13360*m**2/3 + 345698*m/3 + 687580 = 0? -5, 31, 6654 Let g**2/3 + 90656222*g/3 + 2054637646828321/3 = 0. What is g? -45328111 Determine s, given that s**5 - 50488*s**4 + 1413124*s**3 - 12312912*s**2 + 33909696*s - 29064960 = 0. 2, 12, 50460 What is u in u**4/9 + 44*u**3/9 - 75388*u**2 = 0? -846, 0, 802 Find x such that x**2/4 + 93073*x/2 + 2419729/4 = 0. -186133, -13 Factor k**4/6 + 5120*k**3/3 + 243456*k**2 + 11649024*k + 186089472. (k + 48)**3*(k + 10096)/6 Factor 3*m**3 - 53703*m**2 - 1937547*m + 6295887. 3*(m - 17937)*(m - 3)*(m + 39) Determine k, given that -5*k**3 + 4910*k**2 + 500825*k - 1021250 = 0. -95, 2, 1075 Factor 3*n**3 - 32847*n**2 - 10505580*n. 3*n*(n - 11260)*(n + 311) Factor -2*q**3 - 84220*q**2 + 1853566*q - 10195944. -2*(q - 11)**2*(q + 42132) Factor -2*s**2 - 4595718*s - 64339660. -2*(s + 14)*(s + 2297845) Factor 52535*y**5 + 210130*y**4 - 40*y**3. 5*y**3*(y + 4)*(10507*y - 2) Solve -5*q**4 + 50228720*q**3 + 50228725*q**2 = 0. -1, 0, 10045745 Suppose 2*g**3/3 + 14236*g**2/3 - 8*g/3 - 56944/3 = 0. What is g? -7118, -2, 2 What is b in b**3 + 677*b**2 + 96610*b - 195936 = 0? -471, -208, 2 Determine z, given that -3*z**2/7 + 18914412*z/7 - 29812915108812/7 = 0. 3152402 Determine b so that -100*b**3 - 966792*b**2 + 5881744*b - 464352 = 0. -9674, 2/25, 6 Factor 32*h**4/5 + 3408*h**3/5 + 76082*h**2/5 - 780432*h/5 + 1678112/5. 2*(h - 4)**2*(4*h + 229)**2/5 Factor y**2/5 + 3869598*y/5 - 3869603. (y - 5)*(y + 3869603)/5 Solve -315*j**3 + 13278070*j**2 + 18547635*j + 5269250 = 0. -1, -25/63, 42154 Determine i so that -2*i**5/3 - 780300*i**4 - 228320071552*i**3 + 9589901827072*i**2/3 = 0. -585232, 0, 14 Suppose 122911*s**3/2 + 1352023*s**2/2 - 3687319*s - 60 = 0. Calculate s. -15, -2/122911, 4 Determine p, given that p**3 - 6251*p**2 + 2234148*p + 13630140 = 0. -6, 387, 5870 Determine m, given that -4*m**5/5 - 116*m**4 - 2876*m**3/5 + 62788*m**2/5 - 159408*m/5 + 20016 = 0. -139, -15, 1, 2, 6 Factor -2*v**2/7 - 684*v/7 + 366560/7. -2*(v - 290)*(v + 632)/7 Factor -3*z**2/7 + 642*z + 33983109/7. -3*(z - 4197)*(z + 2699)/7 Suppose -6*g**5/5 - 327*g**4 - 147933*g**3/5 - 4415151*g**2/5 + 538707*g + 2696670 = 0. Calculate g. -95, -83, -3/2, 2 Factor -46*r**2/25 - 428136*r/25 - 1414208/25. -2*(r + 9304)*(23*r + 76)/25 Let -4*a**2 + 3408*a - 700304 = 0. Calculate a. 346, 506 Factor -q**2/2 + 78633259*q/2 + 39316630. -(q - 78633260)*(q + 1)/2 Factor h**3/3 - 4574491*h**2/3 + 9148970*h. h*(h - 4574485)*(h - 6)/3 Factor i**2/2 - 49463*i/2 + 988460. (i - 49423)*(i - 40)/2 Factor k**2 + 57360508*k + 822556969504516. (k + 28680254)**2 Factor 4*w**3/3 + 147632*w**2/3 + 590480*w/3 + 590464/3. 4*(w + 2)**2*(w + 36904)/3 Factor -4*m**2/7 - 7669752*m + 107376544/7. -4*(m - 2)*(m + 13422068)/7 What is f in f**3 + 3931*f**2 + 4512435*f + 1609548633 = 0? -2233, -849 What is j in -22*j**5 + 5914*j**4 - 239406*j**3 - 18157666*j**2 - 3293444*j = 0? -37, -2/11, 0, 119, 187 Factor 2*h**2 - 7648*h - 8615880. 2*(h - 4734)*(h + 910) What is g in 4*g**5 + 1186*g**4 - 23128*g**3 + 57740*g**2 + 129300*g + 47250 = 0? -315, -1, -1/2, 5, 15 Factor 2*a**3 + 51596*a**2 - 2274696*a - 15505200. 2*(a - 50)*(a + 6)*(a + 25842) Suppose 5*l**3 - 21590*l**2 - 411595*l - 1821540 = 0. What is l? -12, -7, 4337 Determine n so that -216148*n**3 + 6484600*n**2 - 48638100*n + 36000 = 0. 40/54037, 15 Let -2*j**5/9 - 4634*j**4/9 + 12978*j**3 - 697462*j**2/9 + 1063064*j/9 - 159256/3 = 0. What is j? -2342, 1, 6, 17 Let -46*d**4 + 3748*d**3 + 13720*d**2 + 4316*d - 5610 = 0. Calculate d. -3, -1, 11/23, 85 Find a such that -7*a**2/5 - 4814*a - 237200 = 0. -23720/7, -50 Factor -27*f**2 + 35198421*f - 7821870. -3*(f - 1303645)*(9*f - 2) Suppose -w**2/2 + 1462687*w + 5850756 = 0. What is w? -4, 2925378 Factor 2*n**2/3 - 854414*n/3 + 6834928. 2*(n - 427183)*(n - 24)/3 What is w in -3*
{ "pile_set_name": "DM Mathematics" }
-132, -95, -24, 93? 2*t**3 - t**2 + 4*t - 152 What is the g'th term of -11, -53, -129, -245, -407, -621, -893? -g**3 - 11*g**2 - 2*g + 3 What is the h'th term of 11, 44, 97, 170, 263? 10*h**2 + 3*h - 2 What is the j'th term of -20, -46, -80, -122, -172? -4*j**2 - 14*j - 2 What is the l'th term of -27, -6, 35, 102, 201? l**3 + 4*l**2 + 2*l - 34 What is the x'th term of -30632, -30636, -30654, -30692, -30756? -x**3 - x**2 + 6*x - 30636 What is the w'th term of -19, -44, -71, -100, -131, -164, -199? -w**2 - 22*w + 4 What is the k'th term of 252, 506, 760, 1014? 254*k - 2 What is the f'th term of -349, -700, -1051, -1402, -1753? -351*f + 2 What is the d'th term of 304, 616, 918, 1204, 1468, 1704, 1906, 2068? -d**3 + d**2 + 316*d - 12 What is the y'th term of -98, -133, -168, -203, -238, -273? -35*y - 63 What is the g'th term of -22, -93, -210, -373? -23*g**2 - 2*g + 3 What is the g'th term of -96, -87, -66, -27, 36? g**3 + 2*g - 99 What is the m'th term of -49, -105, -165, -229? -2*m**2 - 50*m + 3 What is the i'th term of -1767, -1765, -1763, -1761? 2*i - 1769 What is the c'th term of 92, 152, 214, 278, 344, 412? c**2 + 57*c + 34 What is the b'th term of -157, -314, -473, -634, -797, -962, -1129? -b**2 - 154*b - 2 What is the w'th term of -144, -325, -520, -735, -976, -1249, -1560? -w**3 - w**2 - 171*w + 29 What is the z'th term of -4, -26, -58, -100, -152, -214? -5*z**2 - 7*z + 8 What is the w'th term of 438, 443, 450, 459? w**2 + 2*w + 435 What is the b'th term of -34, -39, -12, 65, 210? 3*b**3 - 2*b**2 - 20*b - 15 What is the o'th term of 7, 7, 21, 55, 115, 207, 337, 511? o**3 + o**2 - 10*o + 15 What is the j'th term of -52, -63, -74, -85? -11*j - 41 What is the a'th term of -105, -188, -271, -354, -437? -83*a - 22 What is the b'th term of -330, -644, -944, -1224, -1478? b**3 + b**2 - 324*b - 8 What is the r'th term of -5, -69, -253, -617, -1221, -2125, -3389, -5073? -10*r**3 + 6*r - 1 What is the a'th term of -3439, -6877, -10315, -13753? -3438*a - 1 What is the l'th term of -2688, -2684, -2682, -2682, -2684, -2688? -l**2 + 7*l - 2694 What is the m'th term of 2, 69, 254, 617, 1218? 10*m**3 - m**2 - 7 What is the w'th term of 23329, 23328, 23327, 23326? -w + 23330 What is the y'th term of 249, 246, 241, 234, 225, 214, 201? -y**2 + 250 What is the p'th term of 25, 18, 11? -7*p + 32 What is the v'th term of -152, -596, -1342, -2396, -3764, -5452, -7466, -9812? -v**3 - 145*v**2 - 2*v - 4 What is the h'th term of -18, -57, -122, -213, -330, -473? -13*h**2 - 5 What is the z'th term of 15, 32, 65, 120, 203? z**3 + 2*z**2 + 4*z + 8 What is the u'th term of -14, -8, 16, 64, 142, 256? u**3 + 3*u**2 - 10*u - 8 What is the f'th term of 29, 63, 99, 137, 177, 219, 263? f**2 + 31*f - 3 What is the k'th term of 17, 31, 41, 47, 49, 47, 41? -2*k**2 + 20*k - 1 What is the n'th term of -46, -51, -56? -5*n - 41 What is the b'th term of 12, 27, 32, 21, -12, -73, -168? -b**3 + b**2 + 19*b - 7 What is the t'th term of 9, 64, 163, 306? 22*t**2 - 11*t - 2 What is the l'th term of 94, 167, 240, 313, 386? 73*l + 21 What is the u'th term of 94, 179, 248, 295, 314, 299, 244, 143? -u**3 - 2*u**2 + 98*u - 1 What is the b'th term of -1413, -2829, -4245? -1416*b + 3 What is the h'th term of -1153, -1161, -1173, -1189, -1209, -1233, -1261? -2*h**2 - 2*h - 1149 What is the y'th term of 6, 37, 92, 171, 274? 12*y**2 - 5*y - 1 What is the g'th term of 4946, 9892, 14838, 19784? 4946*g What is the h'th term of -19, -46, -85, -142, -223, -334, -481, -670? -h**3 - 20*h + 2 What is the d'th term of 51, 150, 303, 516, 795, 1146, 1575, 2088? d**3 + 21*d**2 + 29*d What is the t'th term of 48, 204, 470, 852, 1356? t**3 + 49*t**2 + 2*t - 4 What is the b'th term of 496, 996, 1496, 1996, 2496? 500*b - 4 What is the z'th term of -635, -638, -651, -680, -731, -810, -923, -1076? -z**3 + z**2 + z - 636 What is the k'th term of 20, -72, -314, -778, -1536, -2660, -4222, -6294? -12*k**3 - 3*k**2 + k + 34 What is the n'th term of 114, 237, 360, 483, 606, 729? 123*n - 9 What is the z'th term of -74, -118, -186, -290, -442? -2*z**3 - 30*z - 42 What is the o'th term of 224, 223, 222? -o + 225 What is the x'th term of -20128, -20127, -20126, -20125, -20124, -20123? x - 20129 What is the y'th term of -67, -139, -213, -289? -y**2 - 69*y + 3 What is the m'th term of 337, 333, 329? -4*m + 341 What is the m'th term of -12, 3, 18, 33, 48, 63? 15*m - 27 What is the o'th term of -358, -356, -354, -352, -350? 2*o - 360 What is the m'th term of -234, -472, -710, -948, -1186? -238*m + 4 What is the c'th term of 1082, 1085, 1088, 1091? 3*c + 1079 What is the j'th term of -36, -58, -80, -102, -124, -146? -22*j - 14 What is the l'th term of 54, 53, 52, 51, 50? -l + 55 What is the a'th term of 20, 16, 14, 20, 40, 80, 146? a**3 - 5*a**2 + 4*a + 20 What is the p'th term of 11705, 11703, 11701? -2*p + 11707 What is the h'th term of -139, -114, -59, 38, 189? 2*h**3 + 3*h**2 + 2*h - 146 What is the q'th term of 33, 62, 85, 102, 113, 118, 117? -3*q**2 + 38*q - 2 What is the p'th term of -307, -620, -939, -1264? -3*p**2 - 304*p What is the i'th term of 7, 49, 179, 445, 895, 1577, 2539, 3829? 8*i**3 - 4*i**2 - 2*i + 5 What is the v'th term of -68, -149, -260, -413, -620, -893? -2*v**3 - 3*v**2 - 58*v - 5 What is the d'th term of 35, 35, 25, -1, -49, -125, -235, -385? -d**3 + d**2 + 4*d + 31 What is the m'th term of -3, -6, -17, -36, -63? -4*m**2 + 9*m - 8 What is the p'th term of -2249, -2260, -2285, -2330, -2401? -p**3 - p**2 - p - 2246 What is the g'th term of 311, 1235, 2775, 4931? 308*g**2 + 3 What is the b'th term of -89, -97, -105, -113? -8*b - 81 What is the m'th term of -30011, -30012, -30013, -30014? -m - 30010 What is the h'th term of 623, 625, 629, 635, 643, 653? h**2 - h + 623 What is the i'th term of -88, -344, -772, -1372, -2144? -86*i**2 + 2*i - 4 What is the l'th term of 2728, 2748, 2780, 2830, 2904, 3008, 3148? l**3 + 13*l + 2714 What is the q'th term of -40, -97, -156, -217, -280, -345, -412? -q**2 - 54*q + 15 What is the m'th term of -128, -503, -1128, -2003, -3128, -4503, -6128? -125*m**2 - 3 What is the q'th term of -481, -962, -1441, -1918, -2393? q**2 - 484*q + 2 What is the u'th term of -298, -600, -902? -302*u + 4 What is the d'th term of 54, 102, 150, 198, 246? 48*d + 6 What is the r'th term of -2225, -8884, -19981, -35516, -55489? -2219*r**2 - 2*r - 4 What is the m'th term of -1127, -1126, -1125, -1124, -1123? m - 1128 What is the d'th term of 2511, 5021, 7531, 10041, 12551, 15061? 2510*d + 1 What is the a'th term of -59, -113, -211, -359, -563? -a**3 - 16*a**2 + a - 43 What is the n'th term of -2863, -2864, -2865, -2866? -n - 2862 What is the f'th term of 593, 631, 669, 707, 745, 783? 38*f + 555 What is the p'th term of 126, 129, 134, 141, 150, 161? p**2 + 125 What is the d'th term of -3, 22, 93, 234, 469, 822, 1317? 4*d**3 - d**2 - 6 What is the j'th term of -516, -522, -528? -6*j - 510 What is the q'th term of 4, -6, -16, -26, -36, -46? -10*q + 14 What is the y'th term of -228, -230, -244, -276, -332, -418? -y**3 + 5*y - 232 What is the m'th term of 263, 528, 793, 1058? 265*m - 2 What is the p'th term of 46, 37, 28, 19? -9*p + 55 What is the y'th term of 388, 390, 392, 394, 396, 398? 2*y + 386 What is the x'th term of 535, 1071, 1607, 2143? 536*x - 1 What is the x'th term of -18, -34, -58, -90, -130? -4*x**2 - 4*x - 10 What is the y'th term of 224, 229, 234, 239? 5*y + 219 What is the p'th term of 443, 886, 1329, 1772, 2215? 443*p What is the l'th term of 9418, 9414, 9412, 9412, 9414? l**2 - 7*l + 9424 What is the i'th term of -153, -146, -129, -96, -41, 42, 159? i**3 - i**2 + 3*i - 156 What is the q'th term of 77, 153, 235, 323, 417? 3*q**2 + 67*q + 7 What is the h'th term of -372, -361, -342, -315? 4*h**2 - h - 375 What is the j'th term of 5, 34, 79, 140, 217, 310, 419? 8*j**2 + 5*j - 8 What is the h'th term of -69, -3, 63, 129, 195? 66*h - 135 What is the r'th term of -1218, -1214, -1208, -1200? r**2 + r - 1220 What is the s'th term of -1846, -1848, -1850, -1852, -1854? -2*s - 1844 What is the s'th term of 2297, 2317, 2337, 2357? 20*s + 2277 What is the n'th term of -1858, -3727, -5598, -7471, -9346? -n**2 - 1866*n + 9 What is the m'th term of -36, -31, -26, -21, -16, -11? 5*m - 41 What is
{ "pile_set_name": "DM Mathematics" }
6.8 -0.145*-3 0.435 Work out 29 * 1. 29 What is the product of 7.1 and -80? -568 Calculate -164*-5. 820 What is 0.41 times 0.1? 0.041 4*9.9 39.6 -0.1275*21 -2.6775 Product of -85 and -0.2. 17 0.07 times -1277 -89.39 0.85 * -0.03 -0.0255 What is the product of -4 and 40? -160 What is the product of 0.004 and -0.155? -0.00062 -1*0.7704 -0.7704 Work out -0.3 * -389. 116.7 Calculate 0.5*0.25. 0.125 -2520 * -0.5 1260 664 * 0.5 332 Work out 0.4 * 0.0656. 0.02624 What is the product of -2 and 0.036? -0.072 Work out -0.001 * 0.17. -0.00017 -0.5 * -5.2 2.6 Calculate 10*0.6. 6 Calculate -4*113. -452 60.7 * 0.15 9.105 Product of 3 and -1.4. -4.2 What is the product of 3 and -0.6? -1.8 1.4 times 0.01 0.014 What is -3498 times 5? -17490 0.1 times 0.483 0.0483 Multiply 65 and -12.3. -799.5 What is 3.59 times -0.4? -1.436 What is 21 times -801? -16821 -2.1 * 303 -636.3 135*-6 -810 What is 23 times 0.324? 7.452 Multiply 0.535 and -4. -2.14 What is the product of 11 and 2510? 27610 What is the product of 0.1 and 22? 2.2 Calculate -2.6*0.24. -0.624 What is 0.2116 times -3? -0.6348 -0.0934*-0.4 0.03736 Multiply 0.06 and 35.3. 2.118 Work out -1 * 53. -53 0.047*-10 -0.47 0.19 * -0.2 -0.038 What is 3 times -1.98? -5.94 What is 0.09 times 21? 1.89 -0.2193 times 5 -1.0965 -0.0452 * 0.17 -0.007684 Work out -5.43 * -0.4. 2.172 What is 48 times -65? -3120 -92*-8 736 Product of 59 and -0.14. -8.26 -0.02*-52 1.04 What is the product of 0.1 and -0.002? -0.0002 Product of -20 and 0.1. -2 0.1*0.0391 0.00391 Product of 0.002 and -0.5. -0.001 What is the product of -9 and -54? 486 Work out -231 * 0.1. -23.1 Work out 7372 * -0.1. -737.2 What is the product of 59.7 and 0.2? 11.94 What is the product of -0.09 and 0.19? -0.0171 Calculate 5*1296. 6480 What is 536 times -1? -536 -23.7 times 0.1 -2.37 What is the product of -56.9 and 0.7? -39.83 0.073 times -13.6 -0.9928 What is 4 times 0? 0 What is -829 times -13? 10777 -3 * 37 -111 Calculate -2.066*-0.4. 0.8264 Calculate 0.2*4662. 932.4 Product of -0.532 and 0.1. -0.0532 What is -2 times 148? -296 -6.28*-1 6.28 Product of -1 and 0.04. -0.04 Multiply -105 and -10. 1050 Calculate 4.7*0.315. 1.4805 134 times 0.046 6.164 Calculate -5254*0. 0 What is the product of -0.0528 and -5? 0.264 What is the product of -10 and 14.3? -143 -10.57 * 0.06 -0.6342 Product of -0.5 and 0.527. -0.2635 39 * 4.6 179.4 5 * -10.74 -53.7 What is the product of 0.86 and -9? -7.74 Calculate -0.4*-50. 20 Work out 6630 * 0. 0 4*-75 -300 Product of -1 and -586. 586 Work out -0.6 * -0.4. 0.24 What is 0 times -1.28? 0 6710*0.3 2013 What is 0.73 times -9? -6.57 Product of 10.5 and 3. 31.5 Calculate -278*-4. 1112 Work out 1.16 * 30. 34.8 12 * -3662 -43944 Multiply 3 and 24. 72 What is -0.08 times 526? -42.08 What is 0.6 times 4? 2.4 Work out -0.4 * 7.4. -2.96 0.17*0.4 0.068 0.5*-0.25 -0.125 -3 * -21 63 Multiply 0.034 and -79. -2.686 Work out -0.01 * 0.246. -0.00246 0.2 times -31 -6.2 Work out 268 * -4. -1072 Multiply 24.95 and -4. -99.8 Calculate -9.3*-0.4. 3.72 -4*-24 96 Multiply 0.85 and -0.06. -0.051 -110.1 times -4 440.4 -0.5 * -542 271 Calculate 0.07*-0.224. -0.01568 112 times 0.09 10.08 What is the product of -214 and 0.4? -85.6 1*19 19 0.1 * 406 40.6 Multiply 8095 and 4. 32380 0.5 times -255 -127.5 What is -0.21 times -15.6? 3.276 Product of 95 and 6. 570 What is -0.08 times -162? 12.96 1046 times 2 2092 -69 * -1.3 89.7 Multiply 1.59 and -0.2. -0.318 What is -0.13 times 62? -8.06 -34 times -58 1972 Multiply 1.9 and 50. 95 What is the product of 24 and 42? 1008 Multiply -726 and -0.5. 363 -1.7*-15 25.5 -5 times 0.6 -3 Calculate -0.73*-0.1. 0.073 Work out 0 * 75. 0 Product of -1007 and -0.2. 201.4 Product of 2614 and 0.5. 1307 Product of 4 and 0.13. 0.52 10 * -52 -520 What is the product of 0.66 and -25.3? -16.698 -41 times 1.47 -60.27 -49 times 2 -98 What is 4892 times 5? 24460 -35845*0 0 -5 times -0.042 0.21 Calculate -706*-0.11. 77.66 -96 times 1.7 -163.2 -0.08*-436 34.88 Product of 217 and 0.3. 65.1 What is 578 times 5? 2890 What is 1327 times 0.3? 398.1 Product of -281 and -0.08. 22.48 -3.9 * 0.5 -1.95 Work out -12801 * 0.4. -5120.4 -0.04 * -28 1.12 Multiply -0.3 and 148. -44.4 Product of 1 and 0.03078. 0.03078 Product of 11 and 12. 132 Product of -661 and 0.1. -66.1 Multiply -4 and 0.1084. -0.4336 Calculate -13*-16. 208 What is -0.0203 times 15? -0.3045 Multiply -105 and 7. -735 What is -2 times 228? -456 What is -19 times -0.4? 7.6 -0.1 times -52 5.2 Multiply 1793 and -3. -5379 -0.95 * -0.3 0.285 9.9 * -1 -9.9 What is -526 times 0.03? -15.78 Product of -74 and -0.5. 37 Multiply 545 and -0.3. -163.5 Calculate -0.6*3.8. -2.28 182 * 0 0 Calculate -1.1*-1.09. 1.199 Multiply -0.2 and 66. -13.2 Calculate -0.1*1188. -118.8 684 times 4 2736 Work out -7 * 2386. -16702 Product of -0.6 and -0.05. 0.03 9 * 16.8 151.2 What is the product of -203 and 10? -2030 -746 times 3 -2238 -0.5 * 25.5 -12.75 -10*-250.9 2509 3.79*0.4 1.516 Multiply 0.1 and -0.0239. -0.00239 What is the product of -0.12152 and -5? 0.6076 What is the product of 15 and -0.21? -3.15 What is the product of -67 and 1.81? -121.27 Work out 1 * 3.051. 3.051 0.2 * 100 20 402*-2 -804 0.5 times -386 -193 Calculate -4*633. -2532 Calculate -4*-0.03. 0.12 0.2 * -1.3 -0.26 Work out 263 * -0.3. -78.9 Work out 9 * 140. 1260 -8*-0.0491 0.3928 Calculate 1343.5*-0.2. -268.7 -1096 times 0.02 -21.92 Product of -60 and 62. -3720 Calculate -0.4*0.619. -0.2476 -4 times -5 20 -4 * -688 2752 What is the product of -5082 and 0.4? -2032.8 Multiply -0.447 and -0.5. 0.2235 Product of -22 and -0.1. 2.2 Calculate 0.132*0.16. 0.02112 -415 times -1.6 664 Calculate -0.0058*-6. 0.0348 Product of -0.2 and 0.38. -0.076 -2 times -1.128 2.256 -13 times -63 819 What is 1263 times -0.2? -252.6 -0.1 * 104 -10.4 241 * -28 -6748 Product of -3 and 0.01761. -0.05283 Multiply -89 and 1. -89 Multiply 2.753 and -1. -2.753 What is the product of 0.3 and 8.3? 2.49 -2.79 * 0.2 -0.558 Calculate 0.0296*0.3. 0.00888 What is 1.9 times -1.8? -3.42 Work out -4 * -1.51. 6.04 -0.3 times 502 -150.6 337 times 1 337 403 times 2 806 -0.272 times 2.3 -0.6256 -477 * 3 -1431 What is -4 times -51? 204 What is 431 times -0.03? -12.93 What is 0.5 times -5? -2.5 What is the product of -13 and -0.063? 0.819 1.33 * 1.8 2.394 0.11 * -137 -15.07 -0.12 * 515 -61.8 Calculate -19.4*-4. 77.6 Work out 1 * -69. -69 What is the product of -0.105 and 0? 0 Calculate -0.00845*-3. 0.02535 -6 * -4.23 25.38 404 * 0.05 20.2 -0.5 times 0.25 -0.125 What is 26 times -1? -26 -33 * -137 4521 Calculate -0.17*-368. 62.56 Product of -9.6 and -0.2. 1.92 13.5 * -0.13 -1.755 -0.08265*-1 0.08265 Work out 0 * 0.32. 0 What is the product of -1 and 0.0543? -0.0543 What is the product of 0.096 and -14? -1.344 Multiply 0.1 and 19. 1.9 Multiply 1801 and 5. 9005 Product of 0.02 and 0.681. 0.01362 -3.74*-12 44.88 What is the product of -789 and -5? 3945 Work out 344 * 0.4. 137.6 Calculate 51*0.028. 1.428 What is 4530 times 2? 9060 2.33 * -1.4 -3.262 -0.03526 times 0.2 -0.007052 What is 0.729 times -0.4? -0.2916 Product of -3 and 37. -111 -1.457 * -0.3 0.4371 What is -0.0577 times -0.4? 0.02308 -5*290 -1450 Product of -0.2 and 23.4. -4.68 Multiply -1 and -0.41. 0.41 -14.2 times -0.1 1.42 Multiply 4 and -0.166. -0.664 0.1*0.0285 0.00285 0.97 times 0.03 0.0291 Work out 5.4 * -2.4. -12.96 97*12 1164 Product of -0.0249 and 2. -0.0498 Calculate 153*-5. -765 -21.8 times 4 -87.2 3*181 543 10*-15 -150 What is the product of -4 and -0.44? 1.76 1*-1 -1 Work out 0.05 * -222. -11.1 What is -3 times 0.16? -0.48 Calculate 0.1*-0.013. -0.0013 Work out 0.192 * 0.2. 0.0384 What is the product of -1 and 17? -17 Product of 3 and -0.05. -0.15 Calculate 0.1*-163. -16.3 What is the product of 53.5 and -0.4? -21.4 What is 3.9 times -1.28? -4.992 682 times 3 2046 Work out 0.2 * 0.05. 0.01 Multiply -16 and 84. -1344 289*-1 -289 What is the product of -0.5 and 31? -15.5 What is the product of 1.1 and 1027? 1129.7 6.23 * -0.19 -1.1837 16.27 * 0.5 8.135 Product of -11.92 and -0.2. 2.384 What is -983 times 0.4? -393.2 Work out 189 * 0.02. 3.78 33 * 0 0 Product of 0.3 and 175. 52.5 Work out -571.9 * 4. -2287.6 Multiply 0.7199 and -4. -2.8796 -0.0527*0.1 -0.00527 What is 0.1 times 2405? 240.5 0.1 times 17.8 1.78 12.13*-5 -60.65 Calcul
{ "pile_set_name": "DM Mathematics" }
*sqrt(77))/sqrt(7))*5)**2. -200*sqrt(11) + 4425 Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))/(sqrt(84)/(sqrt(700)*-1)) + -2. -2 + 170*sqrt(11) Simplify (sqrt(176) + -1 + 2 - -5*(-1*sqrt(176) - sqrt(176)))**2 + -5*((sqrt(77)*2 + sqrt(77))/sqrt(7))**2*4. -72*sqrt(11) + 12277 Simplify (1*sqrt(68)*2 + sqrt(68) + 5*((sqrt(68) - (1*sqrt(68) - sqrt(68))) + sqrt(68)))/(2*sqrt(36)*-4). -13*sqrt(17)/24 Simplify -4*(0 + sqrt(637) + -5 + 0 - -6*(-4*(sqrt(637) + 0) - sqrt(637))**2). -382180 - 28*sqrt(13) Simplify ((6*(sqrt(128)*-1 + sqrt(128) + 5))**2 - (((sqrt(128) + -1)*2)**2 + 4)) + 4. 64*sqrt(2) + 384 Simplify -5 + sqrt(28)/(1*sqrt(196)) + 2. -3 + sqrt(7)/7 Simplify 1*(1 + (-1*sqrt(520))/sqrt(10))*-6. -6 + 12*sqrt(13) Simplify 4 + 2 + sqrt(143)/sqrt(11) - (((sqrt(91) + -1*sqrt(91))*1)/sqrt(7))**2. sqrt(13) + 6 Simplify -1 + ((sqrt(143) - 2*sqrt(143))*2 + (sqrt(143) - 3*sqrt(143)*-2))/((sqrt(121) + sqrt(121)*-2)/sqrt(11) + 1*sqrt(11)*3). -1 + 5*sqrt(13)/2 Simplify ((sqrt(77) + 3*(sqrt(77) - (sqrt(77)*-4 + sqrt(77) + sqrt(77))))/(sqrt(539)*2 + sqrt(539)))**2. 100/63 Simplify ((3*(sqrt(68)*1 + sqrt(68)) + sqrt(68) - sqrt(68))/(sqrt(324)*4 + sqrt(4))*5)**2. 15300/1369 Simplify -3 + (2*(sqrt(85) - sqrt(85)*-1)*-3)/((sqrt(5) + sqrt(270)/sqrt(6))*6). -3 - sqrt(17)/2 Simplify (((2*sqrt(60))/sqrt(6) + sqrt(10))/(((sqrt(30)*-1)/sqrt(6) - sqrt(5)) + sqrt(5)) + 4)**2. -24*sqrt(2) + 34 Simplify sqrt(132)/(4*sqrt(1100) + sqrt(1100))*5. sqrt(3)/5 Simplify -4 + ((4*-5*sqrt(88)*1)/(sqrt(392) - (sqrt(392) - -1*(sqrt(392)*-2 - sqrt(392)))))**2. 2636/441 Simplify (((sqrt(110) + (sqrt(110)*-2*2 + sqrt(110) - sqrt(110)))*3)/((sqrt(480)*-1 - sqrt(480))/sqrt(3)))**2. 891/64 Simplify 0 + sqrt(119)/sqrt(448) + 5*(sqrt(17) - (-4 + sqrt(17))). sqrt(17)/8 + 20 Simplify 1 + -4*(sqrt(19) - -5*sqrt(1900)) + 1. -204*sqrt(19) + 2 Simplify -3 + (sqrt(21)/sqrt(3))**2 + 4 - (sqrt(56)/(-1*sqrt(8)) - (-3 + sqrt(28)/sqrt(4))). 5 + 2*sqrt(7) Simplify -5 + (sqrt(108)*-3 + 3 + -1*sqrt(108)*6)**2 + -1. -324*sqrt(3) + 8751 Simplify (sqrt(27) + 0)*-2*4 + -3*((sqrt(12)/sqrt(4) - sqrt(3))*2 - (sqrt(300)*-2 + sqrt(3))**2). -24*sqrt(3) + 3249 Simplify ((sqrt(567) - (sqrt(567) + 0 + sqrt(567)))*3)**2 + -5 + -4. 5094 Simplify (sqrt(48)*1 - ((sqrt(3) - (sqrt(3) + 1))*-5)**2) + 5 + 1*(0 + sqrt(3)). -20 + 5*sqrt(3) Simplify (-2*sqrt(272)*-2 + 4 + -2 + sqrt(272))**2. 80*sqrt(17) + 6804 Simplify (sqrt(1573) - ((sqrt(1573)*2)**2 + sqrt(1573)))*-1 + sqrt(1573) + 1*(sqrt(1573) + 1) + ((2 + sqrt(1573))*1)**2*6. 286*sqrt(13) + 15755 Simplify ((2*sqrt(324))/sqrt(3) - (-1*sqrt(3) + -1)*2) + 2. 4 + 14*sqrt(3) Simplify (5 + sqrt(85)/sqrt(5)*1)**2 - 2*(sqrt(1088) + 2). -6*sqrt(17) + 38 Simplify (0 + ((sqrt(108)*-3)/sqrt(6))/(sqrt(486) + -2*sqrt(486)))*-2. -2*sqrt(3)/3 Simplify (-5*5*-3*sqrt(114))/(sqrt(216) + (sqrt(216) + -1*sqrt(216))*6). 25*sqrt(19)/2 Simplify ((1*sqrt(209))/sqrt(11) - (sqrt(931) + -2*sqrt(931))**2) + ((1*(sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171)) - sqrt(171))/sqrt(9))**2. -627 + sqrt(19) Simplify (-1 + sqrt(22)/(sqrt(33)/sqrt(3)) + (4*(sqrt(98) + 2 - sqrt(98)) - sqrt(98)))**2. -84*sqrt(2) + 121 Simplify (-5 + 1 + sqrt(171))**2 + -1*((sqrt(19) - 2*sqrt(38)/sqrt(2)) + sqrt(19)). -24*sqrt(19) + 187 Simplify 4 + (sqrt(170)/sqrt(160) - (sqrt(17) + -1)*1 - (sqrt(119)/(sqrt(14)/sqrt(2))*1)**2). -12 - 3*sqrt(17)/4 Simplify (sqrt(504) + sqrt(504)*-2 + -2*1*sqrt(56))/(sqrt(24)/(sqrt(27)*2)). -30*sqrt(7) Simplify (sqrt(10)/(-2*sqrt(6)/sqrt(3)) - sqrt(45)*1*3) + -2. -19*sqrt(5)/2 - 2 Simplify (1*-3*5*(1 + sqrt(252) + 4))**2*-4. -249300 - 54000*sqrt(7) Simplify ((-5*sqrt(112)*1 - sqrt(112)) + -4 + (sqrt(112) - sqrt(112)*2*4 - sqrt(112) - ((sqrt(112) - (0 + sqrt(112))) + 2 - sqrt(112) - sqrt(112))))**2. 576*sqrt(7) + 16164 Simplify (5*sqrt(70)*4)/(5*sqrt(490)). 4*sqrt(7)/7 Simplify 6*(-4 + (sqrt(2) - (sqrt(20)/sqrt(90))**2) - -5*(sqrt(2) - (sqrt(2) + (-2*sqrt(4))/sqrt(2)))). -76/3 + 66*sqrt(2) Simplify ((sqrt(21) - (sqrt(252)*1)/sqrt(12))/sqrt(7) + 3)*-1*5. -15 Simplify (1 + 2 + sqrt(12) + 3)**2 + (1 + -2*(sqrt(12) + -2))**2. -16*sqrt(3) + 121 Simplify -4 + sqrt(7) + (-2*sqrt(77) + sqrt(77))/sqrt(11) + sqrt(7) + -4 + -2*sqrt(7) + -4 + 2. -10 - sqrt(7) Simplify 5 + sqrt(114)/sqrt(6) + -2 + (sqrt(228)/(sqrt(12) - sqrt(12)*-2) + 2)**2. 82/9 + 7*sqrt(19)/3 Simplify (5*(sqrt(117) - (sqrt(117) + (sqrt(117)*2 + sqrt(117))*-4))/sqrt(9))**2*6. 280800 Simplify ((sqrt(1539) - 1*3*sqrt(1539)) + sqrt(1539) - (sqrt(1539) + -2)*1)**2*1. -72*sqrt(19) + 6160 Simplify 0 + -3*1*sqrt(1053) + -5*(sqrt(1053) + 4). -72*sqrt(13) - 20 Simplify 3*(2*-5*(sqrt(1216) - sqrt(19)) + 2)**2. -840*sqrt(19) + 279312 Simplify 3*(-2 + -4 + (-1 + sqrt(1573) - sqrt(1573) - sqrt(1573))*1 + sqrt(1573))**2. 147 Simplify (-4*4*sqrt(156))/(sqrt(432)*-5). 8*sqrt(13)/15 Simplify (sqrt(42)/sqrt(32))/(sqrt(36)/sqrt(48)). sqrt(7)/2 Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - -2*sqrt(66)*-6))/(sqrt(6) + (sqrt(864) - sqrt(864)*-4)))**2. 891/3721 Simplify -4*(sqrt(405) - (sqrt(405) + -2)*-1)*2. -144*sqrt(5) + 16 Simplify ((sqrt(5) + sqrt(80) + 0 - (-2 + sqrt(5))*-1) + 2*sqrt(500) + sqrt(10)/sqrt(2)*5)**2. -124*sqrt(5) + 4809 Simplify (sqrt(26)/(-5*sqrt(6)/sqrt(3))*1 + 2*(sqrt(91)/(sqrt(28) - sqrt(7)) - sqrt(130)/(sqrt(10)*-1)))**2. 4693/25 Simplify ((sqrt(78) - (sqrt(78) - (5*sqrt(78)*-1 + sqrt(78) + sqrt(78) - sqrt(78)) - sqrt(78)))/(sqrt(600)*-2)*5*-3)**2. 1053/16 Simplify ((sqrt(448)*1)**2*4 + 0)*-5 + -2. -8962 Simplify (sqrt(3) - (sqrt(48)/sqrt(4))**2 - (sqrt(147) + 1 + sqrt(147))) + (-3*(sqrt(12) + 0)**2 - sqrt(24)/sqrt(2)*4). -49 - 21*sqrt(3) Simplify (sqrt(400) + sqrt(400) + -2*sqrt(400)*-6 + sqrt(400))/(-2*sqrt(288)). -25*sqrt(2)/4 Simplify ((sqrt(1911) + -2*sqrt(1911))*-6)/((sqrt(36)/sqrt(3)*-4)/sqrt(4)). -21*sqrt(13)/2 Simplify 5*((-4 + -4 + sqrt(20)*1)**2 + -5). -160*sqrt(5) + 395 Simplify -5*(-5*(sqrt(5) + -2) + -2 + 4). -60 + 25*sqrt(5) Simplify ((1 + sqrt(2))*-4 - ((sqrt(2) - (-4 + sqrt(32) + sqrt(2) + sqrt(2))) + sqrt(2) - sqrt(2))) + sqrt(72)*2 + (sqrt(128) + -2)**2. -19*sqrt(2) + 124 Simplify -2*(0 + (2*(1 + sqrt(147)) + 3)**2). -1226 - 280*sqrt(3) Simplify (2*sqrt(170)*1 - (sqrt(170) - 1*sqrt(170)*5))/(4*sqrt(30)/sqrt(3) - sqrt(10) - (-2*-2*sqrt(10) + sqrt(10))). -3*sqrt(17) Simplify (-1 + sqrt(1053) + -1)**2 - (2*sqrt(78)*-2)/sqrt(6). -32*sqrt(13) + 1057 Simplify sqrt(1900) - (3*1*sqrt(1900))**2 - ((1 + sqrt(1900))*-4)**2 - (5*(0 + sqrt(1900))**2 + 3). -57019 - 310*sqrt(19) Simplify -5*(3*sqrt(1539) + 4 - (sqrt(19) + sqrt(76)/sqrt(16) - ((sqrt(19) - sqrt(304)) + -5 + sqrt(19))))**2. -209875/4 + 235*sqrt(19) Simplify ((-2*1*sqrt(153) + sqrt(153) - sqrt(153)) + -3*(sqrt(153) + sqrt(153)*-2) + sqrt(153))/(sqrt(81)*2 + sqrt(9) - sqrt(36)*2). 2*sqrt(17)/3 Simplify -5 + 5 + ((-1 + sqrt(1100))*-2)**2 + 4. -80*sqrt(11) + 4408 Simplify 0 + (sqrt(136)/(sqrt(648) - sqrt(648)*4))**2*3 + 2. 503/243 Simplify ((sqrt(135) - -2*sqrt(135))/sqrt(9) - sqrt(135)/sqrt(81))/(sqrt(300) + 3*1*sqrt(300)). sqrt(5)/15 Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + (-2*sqrt(77) - sqrt(77)))))/sqrt(11) + ((sqrt(189)/sqrt(3))/sqrt(9))**2 + (sqrt(21)/sqrt(3)*-2)**2 + 3. 5*sqrt(7) + 38 Simplify ((sqrt(204) + (sqrt(204) - 5*sqrt(204)))*-4 - sqrt(204))/(sqrt(72)/(sqrt(36)/sqrt(6))) + 1. 1 + 11*sqrt(17) Simplify 0 + 0 + sqrt(84)/(sqrt(144)/sqrt(432))*-5. -30*sqrt(7) Simplify ((sqrt(456) - (sqrt(456) + -3*sqrt(456)*1))/sqrt(8))/((sqrt(3) + sqrt(6)/sqrt(2))*5*-5). -3*sqrt(19)/50 Simplify ((sqrt(3) - (sqrt(3) + (sqrt(3) - (sqrt(75) - sqrt(3))*-4))) + 4 - (0 + (sqrt(12)/sqrt(4)*-2)**2)) + 5. -17*sqrt(3) - 3 Simplify 6*((sqrt(132) + (sqrt(132) - (sqrt(132) + (sqrt(132) - (sqrt(132) - (sqrt(132)*1 + sqrt(132)))))))*4)/(sqrt(1200)*1). -12*sqrt(11)/5 Simplify (2 + -2*sqrt(363)*-2 + sqrt(363) + sqrt(363) + sqrt(363) + 5*(0 + sqrt(363)) + sqrt(363) + -1*sqrt(363) + -5 + sqrt(363))**2 + 1. -858*sqrt(3) + 61357 Simplify (5*sqrt(18)/(sqrt(9)*-2 - sqrt(9)))**2 - (3 + (-1 + sqrt(2))**2*5). -112/9 + 10*sqrt(2) Simplify (sqrt(171) + 1 + sqrt(171)*1 + 0 + 2 + -3)**2. 684 Simplify ((sqrt(15) - sqrt(150)/(1*sqrt(10)))/sqrt(3) - (-5 + sqrt(245) + sqrt(245) + 1 + sqrt(245) + sqrt(245) - sqrt(245))**2) + 3. -2218 + 168*sqrt(5) Simplify (sqrt(85)/sqrt(5) + -2)*-2 + sqrt(
{ "pile_set_name": "DM Mathematics" }
it of 671769? 7 What is the ten thousands digit of 3775311? 7 What is the tens digit of 278963? 6 What is the tens digit of 281105? 0 What is the hundreds digit of 4608866? 8 What is the hundred thousands digit of 1420554? 4 What is the ten thousands digit of 5945567? 4 What is the hundreds digit of 474895? 8 What is the tens digit of 310230? 3 What is the hundreds digit of 19988? 9 What is the millions digit of 3295794? 3 What is the millions digit of 7382264? 7 What is the units digit of 41094? 4 What is the hundred thousands digit of 196666? 1 What is the ten thousands digit of 26735827? 3 What is the tens digit of 12894303? 0 What is the ten millions digit of 29243670? 2 What is the ten thousands digit of 1324807? 2 What is the units digit of 444299? 9 What is the tens digit of 26563002? 0 What is the hundred thousands digit of 1551632? 5 What is the tens digit of 164288? 8 What is the hundreds digit of 1214997? 9 What is the units digit of 265879? 9 What is the units digit of 5910932? 2 What is the hundreds digit of 12944983? 9 What is the thousands digit of 1674432? 4 What is the units digit of 6409632? 2 What is the thousands digit of 31330278? 0 What is the thousands digit of 2837728? 7 What is the units digit of 40375394? 4 What is the hundreds digit of 540805? 8 What is the units digit of 1610881? 1 What is the tens digit of 5341763? 6 What is the tens digit of 2285600? 0 What is the tens digit of 1961662? 6 What is the hundreds digit of 209635? 6 What is the thousands digit of 1179636? 9 What is the hundreds digit of 163321? 3 What is the tens digit of 890141? 4 What is the hundred thousands digit of 519305? 5 What is the units digit of 1142088? 8 What is the thousands digit of 20240130? 0 What is the thousands digit of 16661308? 1 What is the ten thousands digit of 881894? 8 What is the tens digit of 2667391? 9 What is the millions digit of 29429526? 9 What is the tens digit of 684368? 6 What is the units digit of 765288? 8 What is the hundred thousands digit of 11084554? 0 What is the hundred thousands digit of 20791765? 7 What is the tens digit of 870534? 3 What is the hundreds digit of 429396? 3 What is the tens digit of 127710? 1 What is the hundreds digit of 242981? 9 What is the thousands digit of 8047470? 7 What is the ten thousands digit of 220019? 2 What is the tens digit of 6457754? 5 What is the hundred thousands digit of 6650129? 6 What is the hundred thousands digit of 2360004? 3 What is the tens digit of 7291036? 3 What is the hundreds digit of 42641? 6 What is the hundreds digit of 105300? 3 What is the millions digit of 24173682? 4 What is the ten thousands digit of 120674? 2 What is the units digit of 1640162? 2 What is the ten thousands digit of 301203? 0 What is the ten thousands digit of 27124807? 2 What is the thousands digit of 61578? 1 What is the hundred thousands digit of 176446? 1 What is the tens digit of 8377332? 3 What is the ten thousands digit of 1020349? 2 What is the ten thousands digit of 786298? 8 What is the hundreds digit of 835046? 0 What is the ten thousands digit of 69588? 6 What is the hundreds digit of 111800? 8 What is the ten thousands digit of 46982? 4 What is the millions digit of 12014228? 2 What is the hundreds digit of 6923314? 3 What is the ten thousands digit of 166056? 6 What is the ten thousands digit of 658705? 5 What is the tens digit of 4255457? 5 What is the hundred thousands digit of 7166140? 1 What is the ten thousands digit of 42958? 4 What is the millions digit of 1160431? 1 What is the tens digit of 143713? 1 What is the ten thousands digit of 1293783? 9 What is the thousands digit of 221770? 1 What is the tens digit of 147360? 6 What is the hundred thousands digit of 3969517? 9 What is the units digit of 228418? 8 What is the thousands digit of 16684501? 4 What is the hundreds digit of 2870988? 9 What is the units digit of 184855? 5 What is the tens digit of 2886734? 3 What is the ten thousands digit of 982216? 8 What is the thousands digit of 899999? 9 What is the hundred thousands digit of 313469? 3 What is the ten thousands digit of 1960727? 6 What is the hundred thousands digit of 1073984? 0 What is the thousands digit of 5453178? 3 What is the thousands digit of 723875? 3 What is the millions digit of 2275847? 2 What is the hundreds digit of 1027753? 7 What is the hundred thousands digit of 21272236? 2 What is the millions digit of 11367010? 1 What is the units digit of 201526? 6 What is the units digit of 534493? 3 What is the tens digit of 2959840? 4 What is the hundreds digit of 1137222? 2 What is the millions digit of 1744547? 1 What is the tens digit of 412801? 0 What is the units digit of 5585673? 3 What is the units digit of 8721623? 3 What is the units digit of 2114000? 0 What is the ten thousands digit of 1674075? 7 What is the hundred thousands digit of 3108153? 1 What is the tens digit of 305190? 9 What is the thousands digit of 4057244? 7 What is the tens digit of 296336? 3 What is the units digit of 10260110? 0 What is the thousands digit of 78002? 8 What is the hundreds digit of 1249136? 1 What is the units digit of 5618365? 5 What is the ten thousands digit of 10086393? 8 What is the tens digit of 439753? 5 What is the ten thousands digit of 5057714? 5 What is the hundred thousands digit of 697329? 6 What is the thousands digit of 630966? 0 What is the tens digit of 185418? 1 What is the ten thousands digit of 17532611? 3 What is the hundreds digit of 7693102? 1 What is the hundreds digit of 38408? 4 What is the tens digit of 6501458? 5 What is the hundreds digit of 7593? 5 What is the hundreds digit of 752303? 3 What is the millions digit of 1179550? 1 What is the ten thousands digit of 1763032? 6 What is the units digit of 3921034? 4 What is the hundreds digit of 2355870? 8 What is the tens digit of 92461? 6 What is the units digit of 673068? 8 What is the units digit of 535870? 0 What is the hundreds digit of 727207? 2 What is the hundred thousands digit of 5058077? 0 What is the tens digit of 3606754? 5 What is the units digit of 548549? 9 What is the thousands digit of 2035630? 5 What is the hundred thousands digit of 912286? 9 What is the hundreds digit of 2045473? 4 What is the thousands digit of 286269? 6 What is the hundreds digit of 144190? 1 What is the millions digit of 10344991? 0 What is the hundreds digit of 1718319? 3 What is the tens digit of 556672? 7 What is the ten thousands digit of 620072? 2 What is the hundred thousands digit of 9571493? 5 What is the hundred thousands digit of 118880? 1 What is the ten thousands digit of 2352599? 5 What is the hundred thousands digit of 26983656? 9 What is the ten thousands digit of 1191653? 9 What is the ten thousands digit of 607151? 0 What is the tens digit of 415208? 0 What is the hundred thousands digit of 591752? 5 What is the ten thousands digit of 9695307? 9 What is the thousands digit of 419787? 9 What is the ten thousands digit of 919837? 1 What is the ten thousands digit of 691376? 9 What is the hundreds digit of 2355368? 3 What is the ten millions digit of 27121047? 2 What is the ten thousands digit of 12592? 1 What is the tens digit of 4624804? 0 What is the tens digit of 30632550? 5 What is the hundred thousands digit of 285708? 2 What is the hundreds digit of 5239168? 1 What is the tens digit of 47470? 7 What is the hundred thousands digit of 211236? 2 What is the ten thousands digit of 77687? 7 What is the thousands digit of 9944734? 4 What is the thousands digit of 146542? 6 What is the thousands digit of 229984? 9 What is the ten thousands digit of 31786? 3 What is the tens digit of 104820? 2 What is the hundreds digit of 196343? 3 What is the ten millions digit of 12562979? 1 What is the units digit of 10191673? 3 What is the ten thousands digit of 484217? 8 What is the units digit of 148795? 5 What is the hundreds digit of 9873251? 2 What is the hundred thousands digit of 12723824? 7 What is the thousands digit of 791339? 1 What is the hundreds digit of 2676440? 4 What is the tens digit of 1422218? 1 What is the units digit of 6431052? 2 What is the hundred thousands digit of 3473208? 4 What is the ten thousands digit of 27927111? 2 What is the hundreds digit of 123726
{ "pile_set_name": "DM Mathematics" }
remainder when 25 is divided by o? 12 Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)/w + 3/9. 12 Suppose 0 = -0*p + 2*p - 6. Let l be ((-2)/p)/(3/54). Calculate the remainder when (-2)/(-3) - 88/l is divided by 3. 2 Let f = -11 + 13. Suppose 2*l + 4*y = 40, 0 = -f*y - 2*y + 12. Let g = 42 + -16. What is the remainder when g is divided by l? 12 Let q(g) = g + 11. Let m be q(-9). Suppose -m*s = 2*s - 4. Calculate the remainder when 2 is divided by s. 0 What is the remainder when 84 is divided by 33 + (-3 - -7)*-1? 26 Let b(n) = 6*n - 7. Suppose -r = 3*r - 108. Let d = 39 - r. What is the remainder when b(5) is divided by d? 11 What is the remainder when 9 is divided by ((-6)/(-2))/(6/4)? 1 Suppose -4*t = -s + 7 - 40, 2*s + 30 = 4*t. What is the remainder when 62 is divided by t? 8 Suppose -5*h - 6 = -81. Calculate the remainder when 72 is divided by h. 12 Suppose 113 - 15 = 7*g. Suppose -u + 5 + 7 = -2*m, 0 = -5*u + m + 33. Let n = u + 2. Calculate the remainder when g is divided by n. 6 Let q(t) = -t + 14. Let z = 14 + -7. What is the remainder when q(z) is divided by 2? 1 Let c = -5 - -6. Let i be c + 4 - (-2 + 4). Suppose -g - l = -6*l + 3, -3*l - 15 = -i*g. What is the remainder when 19 is divided by g? 5 Let b(q) = q**2 - 3*q + 9. Calculate the remainder when 33 is divided by b(0). 6 Let f(g) = -g**3 + 19*g**2 + g - 8. Calculate the remainder when f(19) is divided by 7. 4 Let g = 196 - 128. Let i = 32 + -9. Calculate the remainder when g is divided by i. 22 Suppose 4*o + 0*r - 49 = -3*r, 4*o - 46 = -2*r. Let b(l) = -2*l**3 - 5*l**2 + 2*l - 3. What is the remainder when b(-4) is divided by o? 7 Let r(l) = -l**3 + 5*l**2 + 7*l - 1. Let t(u) = -u**3 + 5*u**2 + 8*u + 7. What is the remainder when t(6) is divided by r(6)? 4 Suppose 3*m - 60 = m. Suppose 0 = -4*s + 7*s - m. Calculate the remainder when 39 is divided by s. 9 Suppose 2*o - 27 = -3*t + 152, -t + 63 = 4*o. Let f be 10*3/((-6)/(-4)). What is the remainder when t is divided by 2/(2 - 38/f)? 19 Let c(m) = 8*m**2 + 30*m + 6. Let n = -9 + 14. Calculate the remainder when c(-4) is divided by n. 4 Let j(k) = k**3 + 9*k**2 + 6*k + 3. Let u be j(-8). Let d = u + -2. Calculate the remainder when d is divided by 6. 5 Suppose -p + 4*a - 18 = 0, 3*a - 23 = -4*p - 0*p. Suppose -r + 9 = p. Calculate the remainder when 13 is divided by r. 6 Suppose 4*u + 0*w + w - 131 = 0, -2*u + 5*w = -49. What is the remainder when 94 is divided by u? 30 Let i = -3 + 29. Calculate the remainder when 49 is divided by i. 23 Let w(g) = 2*g - 2. Let y be w(4). Suppose -o + y*o = v + 173, -4*o = -5*v - 130. What is the remainder when o is divided by 12? 11 Let d(c) = 15*c**2 + 2*c + 1. Calculate the remainder when 25 is divided by d(-1). 11 Let j = -46 + 72. Calculate the remainder when 127 is divided by j. 23 Let f be -1 + 6*2/4. Let k(z) = 70*z**2 + 4*z - 3. Let h be k(f). Suppose -h = -i - 4*i. Calculate the remainder when i is divided by 15. 12 Suppose 4 = r - 5. Calculate the remainder when 80 is divided by r. 8 Let w(q) = -q**3 - 3*q**2 + 4*q + 3. Let p be w(-4). Suppose -p*l = -0*l - 75. Calculate the remainder when l is divided by 13. 12 Let z(t) = t**2 - 5*t + 4. Let y = -4 - -9. Let d = y + 1. What is the remainder when d is divided by z(5)? 2 Suppose 8 = -2*p + 3*p. What is the remainder when 47 is divided by (-7)/((-21)/6)*p? 15 Suppose -6*g + 277 = -77. Calculate the remainder when g is divided by 10. 9 Suppose 5*d - 348 = l, d - 2*l - 27 = 48. Calculate the remainder when d is divided by 18. 15 Let q(s) = -2*s + 1. Let j be q(-2). Suppose 7 = j*k - 8. What is the remainder when 11 is divided by k? 2 Let p(o) = -o**3 + 4*o**2 - 2. Let s be p(4). Let k(t) = 1 + 8 - 15*t - 7. Calculate the remainder when k(s) is divided by 11. 10 Let j = 2 + 0. Suppose -3*o + j*b + 51 = 5*b, 130 = 5*o - 4*b. Calculate the remainder when 65 is divided by o. 21 Suppose z = 5*h - 102, -z = -3*h + 2*z + 54. Suppose 5*k = 34 + h. Calculate the remainder when 21 is divided by k. 10 Let g be (15 - 8/4)*-1. Let r = -6 - g. What is the remainder when 17 is divided by r? 3 What is the remainder when 22 is divided by (-1)/4 - (-99)/12? 6 Let v(c) = 2 - 2 + 468*c - 463*c. Suppose 0 = p - 0*p - 2. What is the remainder when v(p) is divided by 6? 4 Suppose 0 = -2*f + 2, 3*d + 7 - 20 = 2*f. Let c = 0 + 3. Suppose d*w + c = 43. Calculate the remainder when w is divided by 3. 2 Suppose 4*y = j - 26, -3*j = -4*y + y - 78. What is the remainder when j is divided by 10? 6 Suppose -5*f = -5*z + 1355, 3 = -2*f + 5. Suppose 0*j = j + 5*g - 93, 4*j - z = 5*g. Let c = -48 + j. What is the remainder when c is divided by 14? 11 Suppose 5*w - 13 + 243 = 0. Let m = 76 + w. What is the remainder when m is divided by 11? 8 Let y = 122 - 113. Calculate the remainder when y is divided by 5. 4 Let i(t) = -t**3 - t + 8. Let b be i(0). Let k = 68 - b. Let q = k - 13. Calculate the remainder when q is divided by 16. 15 Suppose 5 = y - 5. What is the remainder when 58 is divided by y? 8 Let c(m) be the second derivative of m**4/6 - m**3/6 + 2*m. Suppose 9 = 3*n + 3. What is the remainder when c(-1) is divided by n? 1 Suppose 0 = -f - f - 2*m + 22, -10 = 5*m. Suppose 2*l - 10 = -0. What is the remainder when f is divided by l? 3 Suppose 5*i + 34 - 149 = 0. Calculate the remainder when 43 is divided by i. 20 Let k = 2 + 3. Let d(g) be the third derivative of 5*g**4/12 - g**3 - 2*g**2. Calculate the remainder when d(k) is divided by 15. 14 Let k = 30 - -1. What is the remainder when k is divided by 8? 7 Let c(b) = b**2 - 3*b - 34. Calculate the remainder when (-8)/10*290/(-4) is divided by c(-6). 18 Let k(h) = -h**2 - 9*h - 7. Suppose 4*l = -5*j - 19, 3*l + 14 = -4*j - 0*j. Calculate the remainder when 32 is divided by k(l). 10 Suppose 0 = -4*h + 2*h + 4. Suppose -p - h*p = -15. Suppose -5*s - 3*j + 19 = 0, 5*j - 5 = 2*s + 3*s. What is the remainder when p is divided by s? 1 Suppose -53 = -5*u + 27. Calculate the remainder when 2 is divided by 1/(-4) - (-20)/u. 0 Let a(p) = -p + 9. Suppose 2*g - 85 = -3*g. What is the remainder when g is divided by a(3)? 5 Let i(t) = -t**2 - 9*t + 16. Let o be i(-11). What is the remainder when 8 is divided by -2*(-3)/o*-5? 3 Let m(y) = -6*y - 7. Let c = -2 + -3. Let v be m(c). Let t = 33 - v. What is the remainder when t is divided by 4? 2 Let g(l) = -l**3 + 4*l**2 + 4*l - 6. Let h(f) = f + 4. Calculate the remainder when g(4) is divided by h(0). 2 Let p = 125 + -278. Let l = -32 - p. Suppose 4*v + 9 - l = 0. Calculate the remainder when v is divided by 10. 8 Suppose 2*g - c = 25, -97 + 30 = -5*g + c. Calculate the remainder when 25 is divided by g. 11 Suppose 56 = 2*x + 4. Calculate the remainder when 99 + (-1 + 4)/((-3)/(-2)) is divided by x. 23 Suppose 0 = 2*h - 27 - 199. Let w = h - 48. What is the remainder when w is divided by 33? 32 Suppose 0 = -5*f + f. Suppose -4*z + 3*y - 23 + 63 = f, 2*y + 1 = -z. Calculate the remainder when z is divided by 3. 1 Calculate the remainder when 56/(-10)*10/(-2) is divided by 10. 8 Suppose -3 = 4*q - 31. Let b(u) = 2*u - 8. Let p be b(q). Let d = p - -23. Calculate the remainder when d is divided by 10. 9 Suppose 5 = -2*n - 9. Let a(l) = -l**3 - 7*l**2 - 5*l - 10. Calculate the remainder when 48 is divided by a(n). 23 Let b = -118 - -139. Calculate the remainder when 143 is divided by b. 17 Suppose 0*f = 2*f - 2. Calculate the remainder when 24 + (0 - -1)*f is divided by 13. 12 Suppose -3*p + u + 161 = 0, -2*u = 6*p - 3*p - 173. What is the remainder when p is divided by 15? 10 Let a(t) = -t + 22. Calculate the remainder when a(12) is divided by 2. 0 Let z(u) = -69*u - 6. Calculate the remainder when z(-1) is divided by 17. 12 Suppose -2*k - 12 = k. Let r = -5 - k. What is the remainder when 67/6 + r/6 is divided by 4? 3 Let n(v) = -v + 11. Let b(r) = -r + 16. Let s be b(11). What is the remainder when 21 is divided by n(s)? 3 Let y(l) = 3*l**2 - 4*l + 2. Suppose 2*j + 0*j - 4 = 0. What is the remainder when 22 is divided by y(j)? 4 Let n(w) = -7*w + 8. Let i be n(-8). Let z = 99 - i. Calculate the remainder when z is divided by 17 + -1 + (-4)/(-2). 17 Let s be (-20)/(-9) - 6/27. Suppose 4*y - 85 = -x, 0*
{ "pile_set_name": "DM Mathematics" }
sequence uom? 7/612 Four letters picked without replacement from idri. Give prob of sequence iird. 1/12 Four letters picked without replacement from {z: 2, h: 1, v: 5, w: 1}. What is prob of sequence hzwz? 1/1512 Four letters picked without replacement from {e: 2, c: 6}. Give prob of sequence eecc. 1/28 Calculate prob of sequence uu when two letters picked without replacement from {u: 4, a: 4, r: 10, s: 1}. 2/57 What is prob of sequence nn when two letters picked without replacement from nuuuunnuuuuuuuu? 1/35 Calculate prob of sequence kzk when three letters picked without replacement from kzk. 1/3 Three letters picked without replacement from {w: 4, e: 6}. What is prob of sequence eww? 1/10 Four letters picked without replacement from smzszsezssssez. What is prob of sequence ezzz? 2/1001 Three letters picked without replacement from {a: 5, n: 3, p: 2, d: 5, x: 4}. Give prob of sequence xdp. 20/2907 Four letters picked without replacement from {s: 1, o: 1, g: 1, z: 1, c: 1}. What is prob of sequence cozg? 1/120 Two letters picked without replacement from {s: 17, i: 2}. What is prob of sequence ss? 136/171 Calculate prob of sequence mov when three letters picked without replacement from bobvbbvobmmbmobob. 1/170 Calculate prob of sequence zdz when three letters picked without replacement from {a: 1, u: 1, z: 8, q: 1, d: 8}. 224/2907 Four letters picked without replacement from ggggg. What is prob of sequence gggg? 1 Two letters picked without replacement from {q: 5, s: 5, b: 3, y: 4, v: 1}. What is prob of sequence sv? 5/306 Three letters picked without replacement from {s: 5, x: 5}. What is prob of sequence xxx? 1/12 Three letters picked without replacement from uuguffuiiuuuumuluu. Give prob of sequence iug. 11/2448 What is prob of sequence tt when two letters picked without replacement from dddtddddtttt? 5/33 Four letters picked without replacement from vivvvivviviviiiiiviv. What is prob of sequence iiiv? 20/323 What is prob of sequence ii when two letters picked without replacement from {h: 1, j: 3, a: 4, i: 10}? 5/17 Two letters picked without replacement from {q: 2, x: 1, r: 1, t: 4}. What is prob of sequence xq? 1/28 Four letters picked without replacement from {h: 7, i: 5, m: 1}. What is prob of sequence ihhi? 7/143 Calculate prob of sequence kjm when three letters picked without replacement from cmujk. 1/60 Calculate prob of sequence qg when two letters picked without replacement from goyyysqryyygg. 1/52 Three letters picked without replacement from lkljjlg. What is prob of sequence jlg? 1/35 What is prob of sequence oow when three letters picked without replacement from {w: 3, o: 7}? 7/40 What is prob of sequence ox when two letters picked without replacement from {x: 3, o: 3}? 3/10 Calculate prob of sequence fgi when three letters picked without replacement from iigfigifi. 5/126 Calculate prob of sequence vv when two letters picked without replacement from {v: 2, d: 2}. 1/6 Three letters picked without replacement from jyxaxyyxlyxlax. Give prob of sequence lxl. 5/1092 Calculate prob of sequence bccb when four letters picked without replacement from ccyyycccb. 0 Calculate prob of sequence men when three letters picked without replacement from {e: 2, m: 15, n: 3}. 1/76 What is prob of sequence nz when two letters picked without replacement from znnzznn? 2/7 What is prob of sequence od when two letters picked without replacement from oddddddd? 1/8 Two letters picked without replacement from {m: 3, k: 1, h: 2, u: 4, z: 1}. Give prob of sequence uz. 2/55 Calculate prob of sequence qtfx when four letters picked without replacement from {f: 1, t: 4, q: 1, n: 1, x: 1}. 1/420 Calculate prob of sequence pz when two letters picked without replacement from pxzrztzz. 1/14 What is prob of sequence qv when two letters picked without replacement from qvqqvqqvvqvqqvqqqq? 4/17 Four letters picked without replacement from wwwwwwkw. Give prob of sequence wkww. 1/8 Two letters picked without replacement from emmiieemiememmmeee. What is prob of sequence mm? 7/51 Four letters picked without replacement from {w: 4, u: 6}. Give prob of sequence wwww. 1/210 Calculate prob of sequence ecfy when four letters picked without replacement from ybbbbccfbbce. 1/3960 Four letters picked without replacement from leeeellm. What is prob of sequence llle? 1/70 Calculate prob of sequence jj when two letters picked without replacement from jvvnevmvjmm. 1/55 What is prob of sequence haa when three letters picked without replacement from aah? 1/3 Four letters picked without replacement from lyllyslsylllsq. What is prob of sequence lyqy? 1/572 Four letters picked without replacement from bsxabbabbbibsbxsbbb. What is prob of sequence bxaa? 11/23256 Two letters picked without replacement from {u: 3, q: 2, m: 5}. What is prob of sequence qm? 1/9 Calculate prob of sequence oc when two letters picked without replacement from oooocco. 5/21 What is prob of sequence ww when two letters picked without replacement from exeexxxnexxeexewxex? 0 Two letters picked without replacement from rsjjjsqqssssssjyq. Give prob of sequence sy. 1/34 Four letters picked without replacement from {n: 9, q: 4, h: 3}. What is prob of sequence hhnh? 9/7280 Calculate prob of sequence eeee when four letters picked without replacement from eeeeee. 1 Two letters picked without replacement from {r: 7, v: 1, z: 1, x: 8, c: 2}. What is prob of sequence rz? 7/342 Two letters picked without replacement from isiiqqiiii. What is prob of sequence ii? 7/15 Four letters picked without replacement from {m: 1, z: 1, s: 2, v: 3, l: 3}. What is prob of sequence lslv? 1/140 Calculate prob of sequence vv when two letters picked without replacement from {s: 2, l: 5, b: 1, c: 6, v: 3}. 3/136 Four letters picked without replacement from ccczcccc. What is prob of sequence cccc? 1/2 What is prob of sequence oqq when three letters picked without replacement from oqqoqqqqqoooqq? 15/91 What is prob of sequence ii when two letters picked without replacement from {o: 5, i: 5}? 2/9 What is prob of sequence yyve when four letters picked without replacement from eeqeqyyqeeyenyv? 1/455 What is prob of sequence ebce when four letters picked without replacement from {p: 2, b: 1, c: 1, e: 5, y: 1}? 1/252 Three letters picked without replacement from pppkypppkpkypppppppp. What is prob of sequence kpk? 1/76 Four letters picked without replacement from {c: 4, z: 3, w: 4, v: 4, y: 4, q: 1}. Give prob of sequence wqvc. 8/14535 Three letters picked without replacement from oooeeooeeeoooeoooso. Give prob of sequence eeo. 20/323 What is prob of sequence mv when two letters picked without replacement from ivm? 1/6 Four letters picked without replacement from {o: 5, y: 2}. What is prob of sequence yyoo? 1/21 Calculate prob of sequence eed when three letters picked without replacement from edeeeehhee. 7/120 What is prob of sequence gtot when four letters picked without replacement from {t: 2, o: 4, g: 6}? 2/495 Calculate prob of sequence vf when two letters picked without replacement from {p: 2, f: 1, v: 11}. 11/182 Calculate prob of sequence xns when three letters picked without replacement from {q: 1, p: 4, s: 4, x: 9, n: 2}. 1/95 Calculate prob of sequence exa when three letters picked without replacement from eaxxaxqxxf. 1/72 Four letters picked without replacement from {r: 13, b: 5}. What is prob of sequence rrbr? 143/1224 Two letters picked without replacement from {c: 8, q: 1, p: 1, z: 8}. Give prob of sequence pq. 1/306 What is prob of sequence yly when three letters picked without replacement from ddylldydyyllddydyyly? 7/171 What is prob of sequence qqqq when four letters picked without replacement from dqqddqqdqqqdqqdd? 9/130 Four letters picked without replacement from {f: 2, o: 1, t: 1, b: 2, p: 1}. What is prob of sequence ofof? 0 What is prob of sequence kqp when three letters picked without replacement from kpqkcccqqppykpqupk? 5/306 Four letters picked without replacement from {c: 5, k: 2, s: 5, u: 1, d: 3}. Give prob of sequence suds. 1/728 Calculate prob of sequence llq when three letters picked without replacement from qquuwuwlqqqll. 5/286 Calculate prob of sequence nvs when three letters picked without replacement from {s: 2, v: 3,
{ "pile_set_name": "DM Mathematics" }
/l))/(l**(1/6))**40 assuming l is positive. l**(-29/3) Simplify (r**(-1/10)/((((r**(-1/4)*r)/r)/r)/r))/(r/(r**(2/5)/r))**(-8) assuming r is positive. r**(299/20) Simplify q*q/(q*q*q*(q*q**2)/q*q)*q*q**(2/21) assuming q is positive. q**(-61/21) Simplify ((j**(-4)/j)/(j*j**10*j))**(-28) assuming j is positive. j**476 Simplify (z*z**11*z**(-4))**(-7) assuming z is positive. z**(-56) Simplify (q**0)**(7/11) assuming q is positive. 1 Simplify (c/(c**1/c)*c)**(4/25)/(c*c**(2/3)*c)**(-1/16) assuming c is positive. c**(73/150) Simplify (f*f**(2/67))/f**(-1/24) assuming f is positive. f**(1723/1608) Simplify ((k**(-4/5)*k)/(k**4/k*k))/(k**(2/7)/k**7) assuming k is positive. k**(102/35) Simplify ((w*w/(w*w**(3/5))*w*w)/w*w*w**18)**(-15) assuming w is positive. w**(-306) Simplify ((t**(-6)/t)**(-38/7))**(9/2) assuming t is positive. t**171 Simplify (b**(-2))**(-2/7)/((b**7*b)/(((b*b**(-7/3)/b)/b)/b*b)) assuming b is positive. b**(-226/21) Simplify z**(-2/3)/z**13 assuming z is positive. z**(-41/3) Simplify ((u*u*u*u**(-3)*u*u)/(u/(u/(u/(u*u**8)))*u))/(u**(2/3))**48 assuming u is positive. u**(-23) Simplify z**(-12)*z/(z/(z*z*(z*z*z/z**(-1/9)*z)/z*z)) assuming z is positive. z**(-53/9) Simplify (a/(a/(a**(1/5)*a))*a*a**(1/5))**32 assuming a is positive. a**(384/5) Simplify (t**(-3/4)*t**(2/13))**10 assuming t is positive. t**(-155/26) Simplify (k/(k/(k/k**5))*k)/k*k/(k/k**(-3))*(k**(2/13)*k*k*k)/((k/((k*k*k/k**(2/9)*k)/k))/k) assuming k is positive. k**(-125/117) Simplify ((b/(b/b**(-1/2)))**27)**(2/63) assuming b is positive. b**(-3/7) Simplify i/(i**(1/8)*i)*i**(1/8) assuming i is positive. 1 Simplify (((u*(u/(u**36/u*u))/u)/u)/u)/u**(-5/4) assuming u is positive. u**(-143/4) Simplify l*l**(2/9)*l*l**(-39) assuming l is positive. l**(-331/9) Simplify ((g*g**(-3)/g*g)/(g**(-7)*g))**(-1/29) assuming g is positive. g**(-4/29) Simplify (u**1/u**(-3/4))/(u**(3/5)*u**5*u) assuming u is positive. u**(-97/20) Simplify (t**(4/15))**41 assuming t is positive. t**(164/15) Simplify u**11/((u/(u*u*u**(2/15)))/u) assuming u is positive. u**(197/15) Simplify (((u*u/u**3*u)/u*u)/(u**(2/3)/u))/((u/u**0)/(u**0*u)) assuming u is positive. u**(1/3) Simplify (q**(2/25)/q)/(q**(2/5)/q)*q**6/(q/(q**(-1/5)*q)*q) assuming q is positive. q**(112/25) Simplify ((k*k**(-18)*k)/(k/(k/k**(4/3))))**7 assuming k is positive. k**(-364/3) Simplify ((v**(-2))**18)**17 assuming v is positive. v**(-612) Simplify ((v/(v*v**0*v))/v*(v*v**(-2))/v*v)**(-23) assuming v is positive. v**69 Simplify (v**(5/4))**(-40) assuming v is positive. v**(-50) Simplify (x/((x/(x/x**(-7/6))*x)/x))/x**(-19) assuming x is positive. x**(127/6) Simplify ((q*q*((q/(q*q/(q*q**(-9))))/q)/q)/q)**(-6/11) assuming q is positive. q**(60/11) Simplify (o*o**(1/2))**(-4/15)/(o**1)**(1/23) assuming o is positive. o**(-51/115) Simplify ((r*r**(-1/12)*r*r)/(r/r**(-1/4)))**35 assuming r is positive. r**(175/3) Simplify (u**(-1/5)*u/u**(-6/7))**(2/31) assuming u is positive. u**(116/1085) Simplify (b/(b*b**(1/12)*b)*b**(-8))**(3/29) assuming b is positive. b**(-109/116) Simplify (p/(p/(p*p*((p/p**(-5/4)*p)/p)/p*p)))**(-23) assuming p is positive. p**(-391/4) Simplify (o**(-6)*o*o/(o**5/o*o)*o*o)/((o*o*o*o/((o*o*o*o*o**0*o)/o))/o)**4 assuming o is positive. o**(-3) Simplify (q*q**3*q)/q**4*(q/q**(-2/7))**(-23) assuming q is positive. q**(-200/7) Simplify (k/k**(-1/5))**(-40) assuming k is positive. k**(-48) Simplify a/(a/a**(-1/3))*(a/(a/a**(2/11)))/a assuming a is positive. a**(-38/33) Simplify (c**(3/5))**(-12) assuming c is positive. c**(-36/5) Simplify c**(-1/17)/(c**(4/17)/c*c) assuming c is positive. c**(-5/17) Simplify (q*q**(1/3))**(2/39)*(((q/(q*(q/((q*q**(1/6))/q))/q)*q)/q*q*q)/q)/(q*q*q**(-2)*q) assuming q is positive. q**(55/234) Simplify (l/(l*l/l**(-2/19)))**(-24/7) assuming l is positive. l**(72/19) Simplify (m**(-4)*(m*m**(2/3))/m*m)/(m**0/m**(-4/7)) assuming m is positive. m**(-61/21) Simplify (m**(-1/3)/m**(-1/3))/(((m/(m*m*m**(3/4)*m*m))/m)/m**0) assuming m is positive. m**(19/4) Simplify q*q*q*q/(q**(-13/3)*q)*q*q**8 assuming q is positive. q**(49/3) Simplify ((f*f**(3/4)/f)/f)/f*f*(f**(-1/7)/f)/f assuming f is positive. f**(-67/28) Simplify (s/(s/(s/(s**(-16)/s*s))))**(3/5) assuming s is positive. s**(51/5) Simplify (t/(t/t**(-1)))**(1/5)*((t*t*t**(2/11)/t*t)/t)/((t*t**(5/4))/t) assuming t is positive. t**(-59/220) Simplify h**2*h**(2/27) assuming h is positive. h**(56/27) Simplify i**(-1/21)/i*(i*i/(i/(((i*i/i**0)/i*i)/i)*i))/i assuming i is positive. i**(-22/21) Simplify ((r**(-1))**(-5/6))**7 assuming r is positive. r**(35/6) Simplify q/((q/((q*q**(-7))/q*q))/q)*(q**30/q)/q assuming q is positive. q**23 Simplify (i*i*i/(i/(i*i**(5/2)*i))*i*i*(i*i*i**(1/2))/i)/(i**(-5/3)/i**(6/7)) assuming i is positive. i**(263/21) Simplify (h**(-2/3)/h)**(-20/3) assuming h is positive. h**(100/9) Simplify (f*((f*f**4)/f)/f*f/f**(-4/5))**(-23/4) assuming f is positive. f**(-667/20) Simplify ((k**(1/3)*k)**40)**(28/3) assuming k is positive. k**(4480/9) Simplify (b/b**(2/43))**(1/5) assuming b is positive. b**(41/215) Simplify (o/(((o**5/o)/o)/o))**(-3/4) assuming o is positive. o**(3/4) Simplify (w**(-2/7)/(w*w**(1/6)))**0 assuming w is positive. 1 Simplify (n*n/n**(-2))/(n*n*n**(-5/12)*n) assuming n is positive. n**(17/12) Simplify (d*d**(-1))**33/(d/(d*d*d**(2/3)/d*d)*d*d*d**(-4)*d*d) assuming d is positive. d**(5/3) Simplify v**(-2/7)/(v*(v/(v**(3/5)*v))/v)*(v/(v*(v/v**0)/v))**(2/13) assuming v is positive. v**(11/35) Simplify ((a*a/a**0)/(a/(a/(a**(6/11)/a))))**(10/7) assuming a is positive. a**(270/77) Simplify u/(u*u/u**5)*u*u*(u*u**0)/u*u*(u/u**0*u)**(-3/2) assuming u is positive. u**4 Simplify (n**7/n**(-5/3))**(-27) assuming n is positive. n**(-234) Simplify (t/(t**0*t)*t**(-5))**37 assuming t is positive. t**(-185) Simplify (s**(-1/3))**47/(s*s**0*s*s)**(-1/18) assuming s is positive. s**(-31/2) Simplify (s*s/(s*s*s/(s/(s/(((s**5/s)/s*s)/s)))*s)*s**(-4/3)/s)/(s**(-6)/(s**3/s)) assuming s is positive. s**(20/3) Simplify w**(-3)*w**(1/4)*w*w**(-5)*w/(w/((w/(w/(w/(w**(5/3)*w)))*w)/w)*w) assuming w is positive. w**(-113/12) Simplify ((g**(-1/14)/g)/g*g*g**1*g)/(((g/(g/g**(1/7)))/g)/(g/(g/(g/(g/g**(1/13)))))) assuming g is positive. g**(339/182) Simplify u**(-2/9)/u**(4/5)*u**0*u*u**(-2/21) assuming u is positive. u**(-37/315) Simplify (i/((i**0*i)/i)*i**2*i)/(i**0)**(-19) assuming i is positive. i**4 Simplify (t**23*t)/(t/(t**(2/55)*t)) assuming t is positive. t**(1322/55) Simplify (m**(-1))**(8/7)*(m**(-1/4)*m*m)**31 assuming m is positive. m**(1487/28) Simplify q**(-4/13)/(q*((q/((((q/(q*q*q/(q/q**(-1/7))))/q)/q)/q))/q)/q) assuming q is positive. q**(-379/91) Simplify (f**(-3/8))**(2/85) assuming f is positive. f**(-3/340) Simplify (z**(-8/3)/z**(-2/19))**(-27) assuming z is positive. z**(1314/19) Simplify h/(h*h**(-5))*h**6*h*h**(-4/5)*h/((h*h/h**(2/5))/h*h) assuming h is positive. h**(53/5) Simplify (m/(m*m*m**(2/15))*m*m/m**(-1/8))/(m/m**(-2/3))**4 assuming m is positive. m**(-227/40) Simplify (m/(m/(m**(2/7)/m*m)))**(-45)*m**(3/4)/(m*m/(m**(4/5)*m)) assuming m is positive. m**(-1723/140) Simplify (r*r**3)**(-36) assuming r is positive. r**(-144) Simplify ((k**(2/5))**(-16/9))**(9/4) assuming k is positive. k**(-8/5) Simplify (i*i**(-13/2))/(i/(i/i**(-3/5))*i) assuming i is positive. i**(-59/10) Simplify (r**(2/9))**(4/27)*r**(-2/15)*r**(-1/3) assuming r is positive. r**(-527/1215) Simplify (g**(-3)/(((g**0/g)/g)/g))/((g**2*g)/g**(-2)) assuming g is positive. g**(-5) Simplify (j**(-2/11))**(11/8)*j/((j*j**9)/j)*j**(-1/13)/j assuming j is positive. j**(-485/52) Simplify ((w*w*w**6*w)/(w*w/(w*w**(-4)/w*w*w)))/(w*w**(2/5))**33 assuming w is positive. w**(-206/5) Simplify r**(2/153)/r**13 assuming r is positive. r**(-1987/153) Simplify (x/(x/(x**(-1/2)*x*x*x*x*x*x))*x)**29/(x/(x/x**2))**(1/3) assuming x is positive. x**(1127/6) Simplify (t**9)**(-7/9) assuming t is positive. t**(-7) Simplify ((k*k**19*k)/k)**(-23) assuming k is positive. k**(-460) Simplify (g**(3/4)*g**2)/(g**(2/5)/g**3) assuming g is positive. g**(107/20) Simplify (h*h**29)**(4/9) assuming h is positive. h**(40/3) Simplify (n**14/n)/(n/(n*n/n**(-3/8))) assuming n is positive. n**(115/8) Simplify i**6*i/(i*i/i**(-5/4))*i**(-3/2)*i*i**(-2/3) ass
{ "pile_set_name": "DM Mathematics" }
1 a factor of (47 - 53) + j + 892? False Let k = -219 + 212. Is (-6 - -6)/k + 50 even? True Let c = -20719 - -23129. Is 5 a factor of c? True Suppose 43 = z - 2. Suppose -4*n - w + 404 = 0, -n - z = 2*w - 139. Suppose c - 2*c = -n. Is c a multiple of 16? False Suppose -7*p + 12*p = -2630. Let g = 814 + p. Does 48 divide g? True Let s(y) = -4*y - 37. Let m be s(-10). Suppose -m*x - 2*x = -1170. Does 15 divide x? False Suppose -5 = -5*g, 2*g - 3*g - 121547 = -7*d. Is 120 a factor of d? False Suppose -4*o = 2*m - 4024, 2*m - 157*o - 4030 = -155*o. Is m a multiple of 19? True Let g(p) = -79*p + 1051. Is 37 a factor of g(-34)? True Let x = 6541 + -5281. Does 6 divide x? True Is -1 - 1 - (21 - (14 - -3524)) a multiple of 29? False Let p(g) = 2*g**2 - 31*g + 11. Let h be p(15). Is 19 a factor of -679*1*h/14? False Suppose -36*t + 34*t = 0. Suppose 0*c - 3*c + 6 = t, 0 = -f - 3*c. Let q = f - -110. Is 13 a factor of q? True Let y = 8114 + -4047. Is y a multiple of 35? False Suppose p - 3*p + 5*r = -17, -61 = -4*p + r. Let u = p - 36. Is (u/12)/((-6)/45)*2 a multiple of 2? False Let t = -13868 - -25550. Is 28 a factor of t? False Let k(c) = 7*c + 61. Let m be k(-9). Is 12 a factor of m - (46/(-3) - 24/(-18))? True Let y(t) = t**2 - 49*t + 59. Let v be y(37). Let f = v + 710. Is 13 a factor of f? True Suppose -2*g - 63 = 5*v - 7, v + 4*g + 22 = 0. Suppose 25*j - 34*j = -522. Let h = v + j. Is h a multiple of 24? True Let b = 704 - -2050. Suppose -388*m - b = -391*m. Is m a multiple of 51? True Suppose -3*x + 843 = -330. Let l = x + -251. Is l a multiple of 14? True Suppose -2*a + 3*u + 13 = 2*u, u - 15 = -5*a. Suppose -4*v - 4*q - q + 36 = 0, a*q - 28 = -3*v. Let c(n) = -n**3 + 5*n**2 + 5*n - 1. Does 7 divide c(v)? True Let t(u) = -2*u**3 + 82*u**2 + 60*u - 104. Does 32 divide t(39)? True Let m = -560 - -846. Is 72069/39 + 22/m a multiple of 84? True Let r = -17205 + 25746. Does 34 divide r/36 - 3/(-4)? True Let m be 80/60 - 16/3. Let k(t) = -9*t**3 + 5*t**2 + 10*t + 11. Is 13 a factor of k(m)? False Let x = -3092 - -5038. Does 3 divide x? False Let o = -57 + 57. Suppose o = 8*a + 11 - 3. Does 4 divide (-3)/(a + (-60)/(-65))? False Let i = 58267 - 40077. Is i a multiple of 214? True Suppose -5*w + 4*r = -1877, -119*w + 731 = -117*w + 5*r. Is w a multiple of 7? False Suppose 2*c - 33 = 3*a, -4*c + 16 = 4*a - 0. Suppose 2*k + 4*d = c + 25, 5*k - 113 = -3*d. Suppose 3*g = -n + k, 2*n - 3*g = -0*n + 5. Is n a multiple of 10? True Suppose 3*t - 107808 = -2*t + i, -i = -t + 21568. Does 35 divide t? True Let f be ((-4)/(-10))/(436/40 - 11). Is 6 a factor of ((-822)/(-24) + f)/(1/12)? False Does 80 divide (-230)/(-3)*22110/275 + -13? False Suppose 5*y - 209095 = -5*n, 154*n = y + 150*n - 41824. Does 205 divide y? True Does 42 divide 420/1470 - (-28516)/7? True Suppose -17*v = 2*v - 71630. Is v a multiple of 29? True Let q be (6 + 10)*(-20 - -1). Let x = q + 704. Does 40 divide x? True Suppose -211*s + 68*s + 69804 = -2336886. Is s a multiple of 55? True Let f = 6260 - 2699. Is f a multiple of 28? False Let q be ((-21)/(147/(-1400)))/(-1). Let o = 386 + q. Is 62 a factor of o? True Does 88 divide (0 - (-4)/20 - (-155364)/55) + 3? False Suppose 7*z - 2*k - 15 = 4*z, 0 = 4*z - 3*k - 20. Suppose -g = -3*t - 335, 3*t - 2621 + 874 = -z*g. Is g a multiple of 29? False Let z = 27 + -21. Let s(u) = u**3 - 7*u**2 + 7*u - 6. Let r be s(z). Suppose r = -q + 51 + 18. Is q a multiple of 13? False Suppose 2*a - 283 = 5*y, 0 = 5*a + 5 - 0. Let z = 82 + y. Is 5 a factor of z? True Let v(c) be the second derivative of 5*c**4/12 - c**3/3 + c**2 + 13*c. Let h be v(3). Let m = h + 49. Is 30 a factor of m? True Suppose -64*t + 46277 = -118*t + 61*t. Does 7 divide t? False Let m(i) = 6 - 161*i**3 - 4*i - 5*i**2 + 0*i + 160*i**3. Let y be m(-4). Does 7 divide (4/y)/(((-78)/(-216))/13)? False Does 10 divide 1/(2/6) - (-3072 + -8)? False Let o be (-3 - (-9 - -3))/(3/(-46)). Let w be o/(-2)*60/(-15). Let a = w + 129. Is 6 a factor of a? False Let t(l) = -l**2 - 7*l - 269. Let j be t(0). Let n = j - -599. Is 10 a factor of n? True Let o(w) = -w**3 + w**2 + w - 1. Suppose q + 30 = 3*q. Let l(a) = a**2 - 15*a - 3. Let s be l(q). Is o(s) a multiple of 16? True Let d(h) = h - 10 - 17 + 35 - 30*h. Suppose 15*o + 20 = 10*o. Is d(o) a multiple of 19? False Let m(p) = 2*p**3 - p**2 + p + 1. Let c be (-2)/(3/((-9)/6)). Let j be m(c). Suppose 3*l - j*q + 4*q = 248, l - 92 = 2*q. Is l a multiple of 21? True Suppose 313*q - 319*q + 36 = 0. Suppose 2*b - 612 = -2*r, -q*r - 2*b = -9*r + 893. Does 10 divide r? False Let l(w) = -56*w - 15. Let r be l(-2). Let h = r + -62. Is h a multiple of 35? True Suppose 68 = -8*g + 20. Suppose 0*r + 4*i = -r + 14, -3*i = 3*r - 6. Is 33 a factor of (4 + r + (-27)/g)*18? False Suppose 13 = -22*w - 9. Let a(l) be the first derivative of -39*l**4/2 + l**3/3 + 5*l**2/2 + 4*l + 13. Is 13 a factor of a(w)? True Let n = 162 + -178. Does 17 divide 2 - (-4)/(n/(-196))? True Let h = -33067 - -46798. Is 59 a factor of h? False Let q(v) = v - 17. Let f be q(22). Suppose 37 = f*y - 18. Let m = y + 28. Is 13 a factor of m? True Let m(i) = 3*i**2 - 9*i + 3. Suppose 40 = 6*h - 26*h. Is m(h) even? False Suppose 2*g + 3*a - 5 = 0, -3*g - 12 + 19 = 5*a. Suppose -g*h = -2*y + 4230, 281 + 1828 = y - 4*h. Does 21 divide y? True Let n = -8395 - -13036. Is 16 a factor of n? False Suppose i - 3*i + 3*r = -1, 0 = 2*i + 3*r - 7. Let q(u) = -12*u - 5. Let j be q(i). Let g = j - -33. Is g a multiple of 3? False Let c(p) = -175*p - 2322. Is 42 a factor of c(-44)? False Let j be ((-4038)/(-12) - 0) + 3/6. Let b = j + -177. Is b a multiple of 20? True Is 5 + (15555 - (3 - 16)) a multiple of 134? False Let f = -14904 - -21168. Is f a multiple of 116? True Suppose 45*p - 43335 - 52020 = 0. Does 10 divide p? False Let m(c) = 1784*c**2 - 157*c - 482. Is m(-3) a multiple of 26? False Let w be (16/144)/((-2)/6)*0. Suppose w = 38*x - 28*x - 640. Does 16 divide x? True Let a(j) be the third derivative of j**4 - 57*j**3/2 - 186*j**2. Is 9 a factor of a(12)? True Let d = -3712 - -3872. Is d a multiple of 5? True Let t(q) = 553*q**2 + 26*q - 33. Does 116 divide t(6)? False Let i = 2253 + -1020. Let a = -8 + i. Suppose 5*c + 2*c = a. Does 19 divide c? False Let l = 90014 + -61124. Does 24 divide l? False Suppose 4*o - 19 = 9. Suppose -17 - 25 = o*k. Does 7 divide 4/6*3/k*-117? False Let x(i) be the first derivative of 17*i**3/3 - 81. Is x(-2) a multiple of 2? True Let u be (-6)/(-8)*(364/21 - 12). Suppose -741 = u*f - 3173. Is 38 a factor of f? True Suppose -4*n - 5*x + 26778 = -47812, 0 = -2*n + x + 37274. Is n a multiple of 20? True Let y(i) = -i**3 + 27*i**2 + 65*i + 33. Let r be y(29). Let a = -94 + r. Does 3 divide a? False Let d = -4339 - -6092. Let g = -934 + d. Is 12 a factor of g/12 + 4/(-16)? False Suppose 3*r + 3*f = 4983, 1284*r = 1287*r + 4*f - 4978. Is r a multiple of 6? False Suppose 10*d - 7223040 = -72*d - 83*d. Is d a multiple of 12? True Let m(l) = 14*l**2 + 8*l - 24. Let u be m(-11). Let d = 4237 - u. Suppose 4*a - d = -11*a. Is 24 a factor of a? False Suppose 2*h - 656 - 3998 = 0. Is h a multiple of 14? False Let v = -85197 - -119941. Is v a multiple of 86? True Suppose -26*v + 25900 = 24*v. Let i = 2023 - v. Is i a multiple of 22? False Let q(t) = -5*t**3 + 12*t**2 - 49*t - 63. Let b(w) = 6*w**3 - 11*w**2 + 50*w + 63. Let j(n) = 6*b(n) + 7*q(n). Is 18 a factor of j(-19)? False Suppose -9*g + 39*g = 582781 + 331559. Is g a multiple of 49? True Let j(x) = 4*x**2 - 51*x - 62. Let h be j(36). Suppose 83*v - h = 21*v. Does 5 divide v? False Suppose -x + 4 = 2*b - 2, 3*x = 4*b - 12. Suppose -28 = -b*w + w. Is 7 a factor of w? True Let h = 11 - 11. Let n be (-4)/(0 + 1) - h. Let i(o) = -10*o + 14. Is 6 a factor of i(n)? True Let b = 83 + -44. Let u = b + 41. Is u a multiple of 8? True Let a(u) be the third derivative of u**6/180 + u**5/20 + u**4/8 - u**3/3 + 30*u**2. Let s(f) be the second derivative of a(f). Does 3 divide s(6)? True Let u(f) = 13*f**2 - 66*f - 18. Is 18 a factor of u(-12)? True Let d = -25919 - -42103. Does 23 divide 2/11 + d/44? True Let s = -299 + 143. Does 5 divide (s/(-30))/((-1)/(-25))? True Does 54 divide -5840*(2/(-7))/((-120)/(-210))? False Let g(f) = -3*f**3 + 5*f*
{ "pile_set_name": "DM Mathematics" }
for r. -2 Let r be (-2)/(-4) + 15/10. Let l be (4 - (-9)/(-3))*r. Solve -z + 0*z - l = 0 for z. -2 Let o(h) be the first derivative of 3*h**2/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r. -4 Let d = 34 - 30. Solve 6 + 14 = -d*o for o. -5 Let k = -1 + 3. Solve k*t = -3 - 1 for t. -2 Suppose -5*l - 3*i = -7, -5*l + 3*i + 14 - 1 = 0. Solve 6*f - l*f + 16 = 0 for f. -4 Suppose -3*f + 12 + 6 = 0. Solve -5*r + f - 1 = 0 for r. 1 Suppose -3*z - x - 3 = -15, -3*x = 9. Solve z = -2*y + 3 for y. -1 Suppose 89*o = 90*o - 1. Solve -r = -o - 2 for r. 3 Let b be 84/(-48)*(-7 - 1). Solve -39 = 5*f - b for f. -5 Let g(s) = -2*s**2 + 10*s + 6. Let n be g(5). Solve 9 = -n*p + 3*p for p. -3 Suppose 3*y - 10 = 23. Let r = -16 + y. Let m = -5 - r. Solve m = 5*f - 5 - 5 for f. 2 Let p = 14 - 6. Let y be 6 - 6 - p/(-2). Solve -2*s + 4 = -y*s for s. -2 Let a(m) = -m**2 - 4*m - 3. Suppose -3*y = -2*y + 3*o + 12, -4*o = 12. Let w be a(y). Solve 2*c - 5*c = w for c. 0 Suppose 0 = 2*l + 3*z - 15, -5*l = -z - 12 - 0. Solve 6 + l = -3*k for k. -3 Suppose 3 = 2*u + 3*a + 5, 13 = 5*u + 3*a. Suppose 0 = 3*y + 2*f - 13, y - 5*y = f - 14. Solve -4*q + y*q = u for q. -5 Let o be (0 + 0)*(-2 - -3)/1. Solve -2*b - 6 = -o*b for b. -3 Suppose -4*m - 5 = -5*m. Let f(s) = s**2 + 6*s - 9. Let u be f(-7). Let i = m + u. Solve -3*p + 0 + i = 0 for p. 1 Suppose 34 = 2*c + 5*a, 2*a - 22 = -2*c - 0*c. Let q = c - 4. Suppose -z = q*b + 2*z - 30, 2*b - 5*z - 13 = 0. Solve 3*u = -3 - b for u. -4 Suppose 0 = -0*j + j - 5. Solve -6*x = -x + j for x. -1 Let o be 6 - (-7 - -5 - -4). Solve -o*x + 10 = -2*x for x. 5 Suppose 4*h = -2*d + 18, -3*d + 18 = 3*h - 0*h. Let m(r) = -7*r + 5*r**3 + 1 + 5 - 6*r**h + 7*r**2. Let y be m(6). Solve y = -7*n + 3*n for n. 0 Let a = -183 - -186. Solve 0 = -a*k + 4 - 7 for k. -1 Let y = -47 - -47. Solve -2*v + 5*v - 3 = y for v. 1 Let v(i) = -i**3 - i**2 + 5*i + 5. Let s be v(-3). Solve 3*p = s*p + 5 for p. -1 Let x(d) = -d**2 + 1. Let n be x(1). Let w be (1/(-3))/(1/(-9)). Let k(i) = -i**2 - 7*i - 7. Let q be k(-5). Solve n*h + q = w*h for h. 1 Suppose -5*u + 60 = -u. Let f be -2*3/(-6)*3. Suppose 0 = -5*w - 0*w - 25, u = 3*v + f*w. Solve -p - 4*p = v for p. -2 Let c(f) be the second derivative of f**4/12 - f**2 + 2*f. Let w be c(5). Suppose -2*g + 5*i + 0 = -w, -29 = -5*g + 3*i. Solve g + 0 = z for z. 4 Let k be (4/6)/((-1)/(-3)). Let g be 0 + 1 + (10 - 9). Let m = k - g. Solve m = -i + 1 - 0 for i. 1 Let k = 2 - -1. Solve 0 = -2*l + k*l for l. 0 Suppose 3*c = 5*c - 4. Suppose 3*h = 15 + 15. Suppose -3*a + h = -3*p - 8, 3*a - 22 = 4*p. Solve -c*l = a*l + 16 for l. -4 Let x(j) = j - 1. Let s be x(4). Let w = -7 - -9. Suppose 12 = q - 5*y, 7*q = 4*q - w*y + 2. Solve s*o = q*o - 3 for o. -3 Let w(x) = -2*x**3 + 4*x**2 - 2*x. Suppose -3*s = -3*r + 2*s - 19, -2*s + 4 = -3*r. Let b be w(r). Let v be (-8)/(2 + b)*5. Solve -6*n - v = -2*n for n. -5 Let g(k) = -k**2 + 5*k - 1. Let u be g(4). Let r be (-34)/170 + (-2)/(-10) + 12. Solve -v - u*v = r for v. -3 Let n(w) = 5*w - 15. Let l be n(5). Solve -l = 5*g + 5 for g. -3 Let a be (-2)/(-12) + 2/(-12). Suppose h - 4*h + 42 = a. Solve -h + 4 = -2*v for v. 5 Let n = -8 - -12. Let f be (1/(-1))/((-3)/18). Suppose u + 10 = f*u. Solve u*h = n + 6 for h. 5 Let t = -92 - -96. Solve -u - 1 = -t for u. 3 Suppose -3*s + r = -3, -2*s - 3*s + 2*r = -6. Let q = s - -2. Solve 2*h - q = 2 for h. 2 Suppose 2*g = g + 10. Solve -h + g = h for h. 5 Let c(p) = p**3 + 2*p**2 + p + 3. Let f be c(-3). Let w be (-3)/(-6) - f/2. Solve 3*a - 10 = w for a. 5 Let n(i) = 14*i - 1. Suppose -2 + 0 = 2*k. Let b be n(k). Let x = b + 25. Solve -4*f + 10 = -x for f. 5 Let l be (-3 + 8)*(-2)/5. Let u be (-24)/(-9)*(-3)/l. Solve u*j + 12 = j for j. -4 Let r(l) be the first derivative of -l**3/3 + 4*l**2 + 1. Let y be r(8). Solve y*k = -k + 4 for k. 4 Let z(f) be the first derivative of -f**2/2 + 9*f + 1. Let c be z(-7). Solve c + 0 = 4*i for i. 4 Let t = -6 - -10. Let h(i) = 2*i - 6. Let w be h(6). Let a be (t/3)/(2/w). Solve -a*r = r - 25 for r. 5 Suppose 20 = 4*j - 4*h, j - 3*h + 0*h = 11. Let b = 8 - 3. Solve 3 = j*l - b*l for l. -1 Let r(x) = x**2 + 4*x + 3. Let q be r(-4). Suppose s = -0*s + q. Let p be 2 + (-1 + 7 - -1). Solve -3*d + s = -p for d. 4 Let o = -32 + 32. Solve o*z = -4*z for z. 0 Let c be (-21)/(-35) + 44/10. Let p = 0 + c. Solve 0 = -4*v + 11 + p for v. 4 Let p(g) = g**2 - 3*g. Let a be p(5). Suppose 0 = 2*o - a - 2. Suppose -3*x = -0*x - o. Solve -4 = -u - x for u. 2 Let a = -10 + 15. Let y(n) = 5*n**2 - 12*n - 8. Let l(c) = 4*c**2 - 11*c - 7. Let u(o) = a*y(o) - 6*l(o). Let s be u(-7). Solve -3*j = -6*j - s for j. -3 Let b = 6 + -3. Suppose 5 = -2*s + b*s. Suppose 5*d + s = 80. Solve -d = -q - 4*q for q. 3 Suppose -8 = 2*w + 4*o, o - 3*o = 2*w. Solve c - 3 = -w for c. -1 Let v(i) = 2*i - 21. Let f be v(12). Solve y - f*y + 10 = 0 for y. 5 Suppose 21 = 4*y + 5. Solve -j - j = -y for j. 2 Suppose -4*f + 0*f - 16 = 0. Let t = f + 8. Solve 16 + t = -4*k for k. -5 Suppose 0 = b - 6 - 0. Let r be (8/(-6))/((-2)/b). Suppose -r*u = -t - 14, -3*u + 5*u = -4*t - 2. Solve 0 = -0*p - p - u for p. -3 Let j(a) = 3*a**2 - 5*a + 2. Let l be j(4). Suppose -2*t - t = -x - l, x + 25 = 2*t. Let u be -3*-4*x/(-9). Solve u = 4*f + f for f. 4 Let g(s) = s**3 - 4*s**2 + s - 4. Suppose 4*t - 21 = -5. Let i be g(t). Solve -16 = -i*w - 4*w for w. 4 Suppose 5*l + 17 = -f + 3*f, f - 13 = l. Let t be (0 + 6)/(2/5). Let q = -11 + t. Solve -q*p = -0*p - f for p. 4 Let k(n) = -n - 3. Let d be k(-7). Let l = -101 + 101. Solve -2*f + l + d = 0 for f. 2 Let t(i) = i**2 - i + 1. Let r be t(2). Suppose -r = x - 13. Solve 9*k - 4*k = -x for k. -2 Let v = -9 - -5. Let k(l) = l**3 + 3*l**2 - 4*l + 3. Let i be k(v). Solve -3 = 3*m + i for m. -2 Let c(t) = -t**2 + 4*t - 2. Let d be c(2). Suppose 0 = -4*h + 2*h - 3*p + 17, -2*p + 6 = 0. Suppose 3*u - 47 = -17. Solve d*r - h*r = -u for r. 5 Let t be -12*((-2 - -1) + 0). Suppose z = -3*z - 4*y - 16, 20 = -3*z - 5*y. Solve -3*f + z*f = -t for f. 4 Let z(o) = o**3 - o**2 + o - 2. Let b be z(2). Suppose 16 + 4 = -b*p. Let r = 7 + p. Solve -r*f = -5*f + 15 for f. 5 Let r(n) = -4*n**2 + 4*n + 8. Let a(s) = -3*s**2 + 4*s + 7. Let d(p) = 5*a(p) - 4*r(p). Let u be d(-5). Solve u = 3*t - 1 for t. 3 Let d be (-1)/2 - (-11)/2. Suppose 4*z - 25 = -t + 6, 0 = -2*z - 3*t + 23. Suppose 3*r - z = 5. Solve 0 = -3*j + r*j - d for j. 5 Let i(x) = x + 4. Let q be (-1)/(0 + -2)*-6. Let m be i(q). Solve 4 = -5*k - m for k. -1 Suppose 0 = 2*n - 3*n - 4*i + 11, 5*i = -5*n + 25. Let b be 1/3*(n - -6). Suppose -3*a = -b*s - 9, s + 4*a - 12 = 2*a. Solve -s*j + 1 = -3*j for j. -1 Let t(o) = -3*o**3 + 4*o**3 - 1 + 3 + 0*o**3. Let k be t(0). Solve r - 3 = -k*r for r. 1 Suppose -3*a - 2*l = -5*l - 9, -3*a + l + 11 = 0. Solve a = 3*f - 2 for f. 2 Let s be -1 - -8*1/2. Solve 2 = -h + s*h for h. 1 Let o be (26 - -2)*12/14. Let b = o - 21. Solve 2*i = -b - 3 for i. -3 Suppose 3*s = 5 - 2. Let b be (s/2)/((-4)/(-8)). Let q(g) = g**2 - 4*g + 4. Let f be q(4). Solve -f*d + b + 11 = 0 for d. 3 Let n(t) = 0 - 1 - 1 + 0 + t. Let v be n(7). Suppose -v*w + 0*w - 10 = 5*k, 15 = -5*w. Solve 3*z = k + 2 for z. 1 Suppose 13*i - 18 = 14*i. Let r = i - -35. Solve 3 + r = 5*l for l. 4 Let c = -15 + 8. Let y be 8 + c + 0/1. Solve -7 = 2*o - y for o. -3 Let j(w) = w**3 + 5*w**2 + w + 5. Let c be j(-5). Let p = -2 + 5. Suppose -p*a - 1 = -4*a. Solve -t + 6 - a = c for t. 5 Let q be (-15)/2*32/(-48). Solve -q*g = 18 + 7 for g. -5 Let z(s) = 5*s - 2. Let r(q) = -6*q + 1. Let t(v) = -4*r(v) - 5*z(v). Let a be t(3). Solve 6*c = 3*c + a for c. 1 Suppose -33 = -4*z - 5. Suppose -d = -5*t + 14, -4*t - 4*d = -z*d - 20. Suppose -5*h + t = -23. Solve 4 - 9 = -h*j for j. 1 Let b be 2*(4 - 2)/1. Solve b*x - 6*x + 4 = 0 for x. 2 Suppose 5*d = 5*c - 30, d - 16 = -2*c + 5*d. Solve 0*a + 20 = -c*a for a. -5 Let l = 18 - 11. Suppose -16 = -2*r - 2*v + l*v, -4 = 2*v. Solve 0*k = -r*k for k. 0 Suppose 3*h - 47 + 35 = 0. Solve s + h = -s for s. -2 Let s(u) = u + 8. Let r be s(-3). Solve -r = -5*p - 0 for p. 1 Let h = -5 + 5. Solve 0 = -h*o - o + 2 for o. 2 Let b(t) = -2*t - 8. Let g be b(5). Let r be (7/21)/((-2)/g). Solve f = r*f + 2 for f.
{ "pile_set_name": "DM Mathematics" }
ve -1 - r = -m for m. 3 Let h = 14 - 12. Suppose 4*y + 4*f = 16, -2*y - 3*f = -3 - 6. Solve y = b + h*b for b. 1 Suppose -7 - 5 = -4*d. Solve -2*y + d = -1 for y. 2 Suppose 3*z - z - 14 = 0. Let u(f) = -f**2 + 6*f - 2*f**2 + 2*f**2 + 10. Let r be u(z). Solve -2*x - 20 = r*x for x. -4 Let k(g) = -4*g - 16. Let c be k(-4). Solve c = -s - 0 - 3 for s. -3 Let i = 13 - 9. Solve -i*g + 4 = -0*g for g. 1 Suppose -27 = -j + 4*u, 2*j - 26 = u - 7. Suppose 0*n - j = 4*b + 3*n, -2*b = -3*n + 17. Let m be 6/(-9)*(b + 1). Solve -3*k - m = 7 for k. -3 Let x(y) = -y**2 - 6*y + 2. Let p be (-2)/(-2 - (-7)/3). Let d be x(p). Solve z + 15 = -d*z for z. -5 Let f(a) = a**2 + 5*a + 1. Let j be f(-5). Let k be ((-10*j)/1)/(-2). Solve 0 - 10 = k*s for s. -2 Let w be 5 - 2/(4 - 2). Solve -w*y + 16 + 4 = 0 for y. 5 Let b be 3/(-5) - 84/(-15). Solve 0 = -b*j + 13 + 2 for j. 3 Let u = 2 - -1. Let z be -5 + 4 + (0 - -4). Solve 0 = -z*y - 3 - u for y. -2 Suppose -2*r - 5*a = -r + 19, 3*a + 21 = r. Suppose r + 4 = 5*w. Solve -2 = -0*g - w*g for g. 1 Let v(b) = -b**3 - 4*b**2 - b + 2. Let z be v(-4). Solve -p + 1 - z = 0 for p. -5 Let d = 61 + -32. Suppose 5*g - d = -4. Suppose -4*p = -2*p - 2. Solve 0 = -g*x - 24 - p for x. -5 Suppose 5*i = -t + 28, 2*i + 0*i + 4*t = 22. Solve -i*u = -0*u for u. 0 Suppose 3*b = 8*b + 990. Let k be b/(-55) + 3/(-5). Solve -k*p + 8 = p for p. 2 Let v = -111 - -113. Solve -i - 6 = -v for i. -4 Let w(l) = -l + 7. Let q be w(4). Suppose n = -q*n + 12. Suppose n*b + 15 = 39. Solve b*v = 3*v + 20 for v. 4 Let k(r) = r**3 + 15*r**2 - r - 11. Let p be k(-15). Solve -2*q - p = 2*q for q. -1 Suppose 4*d = 2*d + 6. Solve 0*z = d*z for z. 0 Suppose 5*g - a = -3*a - 45, g - 8 = 3*a. Let s = g - -12. Suppose s*n = 2*c + 3, -c + 5*c - 3*n - 1 = 0. Solve 0 = -2*b - 1 - c for b. -1 Suppose 2*w = 5*v + 108, 2*v - 5*v = -3*w + 72. Let h be 1/4 + (-55)/v. Let u(f) = f**2 + 5*f - 4. Let p be u(-6). Solve -h*s - 3 = -p*s for s. -3 Let c = 9 + -5. Let p be 3*-2*1/3. Let y = -2 - p. Solve y = t + c*t - 15 for t. 3 Let z be (16/3)/(14/21). Let a = 11 - z. Solve -a*h + 2*h - 5 = 0 for h. -5 Suppose 2*x + 0 = 4. Let j = x - -4. Let z = 9 - j. Solve 0 = z*t + 3 for t. -1 Let j be (-88)/(-3) + 3/(-9). Suppose 5 - j = -3*w - 3*h, 5*w + 3*h = 30. Solve 1 - 7 = -w*s for s. 2 Let b = -9 + 19. Suppose 10*c = 8*c + b. Solve -c + 0 = -5*n for n. 1 Let j be (-3 - 90/(-3))*-1. Let q be 30/4*(-18)/j. Solve -q = 2*t + 3 for t. -4 Let p = -11 + 14. Solve h = -2*h - p for h. -1 Suppose 11 = 5*w - p, -2*w - 3*p + 26 = 2*p. Solve -w*t = -2*t - 5 for t. 5 Suppose -i - 3 = -11. Let g(a) = 5*a - 1. Let j(o) = 2*o. Let l(q) = 3*g(q) - 7*j(q). Let f be l(i). Solve 2*d + f = 15 for d. 5 Suppose 4*l - l = 9. Solve 4*s - s + l = 0 for s. -1 Let d(k) = -9*k + 56. Let z be d(6). Solve -z*y - y = 0 for y. 0 Let p be ((-6)/(-3))/(-1 - -2). Solve -5 = -q + p*q for q. -5 Suppose 0 = -0*j - 2*j + 32. Suppose 4*q - j = 2*q. Solve -5*v = q - 3 for v. -1 Let t = 7 - 4. Suppose 3*f = 3*v + 33, v = -f - 0*v + 1. Solve f = -z + t*z for z. 3 Let q be (-16)/(-10) - 4/(-10). Let i be 2/(q*3/6). Solve -i - 3 = u for u. -5 Let n be 8/20 + 24/15. Let w(r) = 3 + 2 - n + r - 6. Let m be w(7). Solve 5*i + 11 + m = 0 for i. -3 Suppose 0 = z - 0*z + 4*j, j + 9 = 2*z. Solve -z*n = 13 + 7 for n. -5 Suppose c - 2*c + 14 = -2*s, -2*c + 2*s = -22. Solve 2*y = -0*y - c for y. -4 Suppose -5*p + 4 = 3*j, 2*p = 4*p + 3*j + 2. Solve -p*l = -0*l - 6 for l. 3 Let n(t) = -t**3 + 2*t**2 + t - 2. Suppose b = 3*c - 10, 4 = -5*c + 2*b + 22. Let a be n(c). Solve -10 = 5*l - a for l. -2 Suppose 0 = 6*m - 7*m + 3. Solve -m*u = -u + 4 for u. -2 Let k(d) = -d**3 + 4*d**2 - 4*d + 2. Let q be k(2). Solve -3*n = -q*n for n. 0 Let z = 16 + 4. Solve 6*r - z = r for r. 4 Let k = -18 - -23. Solve k*a - 8*a = -3 for a. 1 Let z = -5 - -1. Let x = z - -9. Solve 3 = -x*g + 2*g for g. -1 Let u = -56 + 61. Solve x = u*x for x. 0 Suppose -5*a - 6 = -3*r + 23, -2*r + 2*a = -14. Let v be 3/(-21) - 15/(-7). Solve y = r*y + v for y. -1 Let s be 0/(2/(-1 - 1)). Let k = 29 + -25. Solve p + k = -s*p for p. -4 Let i(r) = r + 8. Let m be (-4)/(4/5)*1. Let x be i(m). Let g(l) = l**2 + 1. Let c be g(1). Solve -c*v = v - x for v. 1 Suppose -3*g - 3*h + 30 = 0, -4*g - h + 13 = -15. Let q(k) = -k**3 - 4*k**2 + 5*k. Let l be q(-5). Solve l = -g*x + x + 10 for x. 2 Let c be (33/(-6))/((-1)/(-2)*-1). Let t(p) = -p. Let y be t(-4). Suppose 16 = y*n + 2*r, -r - 2*r - 31 = -5*n. Solve c = -n*g - 4 for g. -3 Let r = 19 + -4. Let y = -7 + r. Solve 2*m + y + 0 = 0 for m. -4 Let k = 1 - 1. Let m be (-21)/(-3) - 2 - 0. Let p = k + m. Solve p*v - 20 = 5 for v. 5 Let z = -2 - 13. Let y be 36/z*5/(-2). Solve -4*s + s = -y for s. 2 Suppose 0 = 2*l - 3*v - 10, -8 = -3*l - 0*l + v. Suppose -l*u + j - 12 = -2*j, 2*u + j + 20 = 0. Let f be 2/(((-30)/u)/5). Solve 2*d + 20 = -f*d for d. -4 Let p(n) = -n**2 + 2*n + 3. Let k be p(0). Suppose -2*j = -4*j + 4*u, -2*u = j - 16. Solve -a + k*a = -j for a. -4 Let s(t) = -11*t - 6. Let d be s(-2). Suppose -a - d = -5*a. Solve -2 = l - a for l. 2 Let t(n) = 6*n + 91. Let v(b) = -b - 18. Let y(p) = -2*t(p) - 11*v(p). Let a be y(16). Solve a*z + 4 = -z for z. -4 Suppose 5*c = -17 - 3. Let w(t) = -2*t - 3. Let y be w(c). Let l be (-102)/(-27) + 8/36. Solve -d - l*d = -y for d. 1 Let q be 2/2*0/(1 - 2). Solve 2*d + 2*d - 8 = q for d. 2 Suppose 0 = -d + 2*q + 2 - 7, -3*q + 18 = 2*d. Solve -5*k + d*k = 0 for k. 0 Let y = -18 - -28. Let l be y*(5 - 3 - 0). Solve 2*g - l = -2*g for g. 5 Let p be 60/12 + 6/(-2). Let y = 4 + p. Solve 2*k = -k + y for k. 2 Let t(k) = -k**3 + 6*k**2 - 5*k - 2. Let v be t(6). Let p = -23 - v. Solve 3*w = -0*w + p for w. 3 Suppose -v + p - 1 = -4*v, 0 = 4*p + 20. Suppose -v*f = -10 - 10. Suppose 3*o + 4*t + 4 = 19, f = 2*o - 3*t. Solve o = -0*k - k for k. -5 Let a(r) = r**2 + 6*r + 5. Suppose -2*t - p = 23 - 7, -3*p = 12. Let f be a(t). Suppose -3*j - 3*o + 9 = -3, 3*j + 12 = f*o. Solve -j = -2*u + 9 for u. 5 Let f(k) = -k**3 + 14*k**2 - 12*k - 7. Let i be f(13). Solve r = -r - i for r. -3 Let p = 6 + -2. Let s be 2*(10/p - 0). Solve -20 = -3*x - s for x. 5 Let c = 54 + -52. Solve c*m + 10 = -3*m for m. -2 Let g = -5 + 8. Suppose -g*q = -0*q - v + 2, -5*q + 5*v = 10. Solve -4*l + 6*l + 4 = q for l. -2 Let b = 0 - 0. Let q be (25 + -21)*(-50)/(-8). Suppose -2*l + 6*l - 23 = -p, -16 = -2*l - 2*p. Solve l*o - q = -b*o for o. 5 Let k = 52 - 49. Solve -c - 2*c = k for c. -1 Suppose 5*d + 4 = 4*f - 8, 9 = -2*d + 3*f. Let a be d - 2*6/(-3). Solve a*v - 2 = 2 for v. 1 Let g be (-5)/15 + 2/6. Suppose 0 = 4*v - 2*r + 26, 2*v + 11 = -g*v - r. Let t be v/15 + (-14)/(-10). Solve -t = k - 5 for k. 4 Let t(s) = 2*s - 8. Let u be t(4). Solve u = -6*d + d - 25 for d. -5 Let h = -83 - -85. Solve -4*u = -h*u for u. 0 Suppose 9*a - 5*a - 8 = 0. Solve a*p = 6*p + 12 for p. -3 Let y = 4 + -6. Let z be (4/14)/(y/(-14)). Suppose -q + 3*n + 21 = 0, n - 2*n = z*q - 14. Solve 4*b - q = b for b. 3 Let u(s) = 2*s**2 + 2*s + 1. Let h be u(-2). Let m(j) = -j**3 - 8*j**2 - 7*j. Let t be m(-7). Let z = h + t. Solve -z*l + 7 - 22 = 0 for l. -3 Let w(o) = 6*o**2 + o + 1. Suppose 5*y - 19 = a, -4*y - 2*a + 3 = -1. Let i be (-1)/(3/9*y). Let n be w(i). Solve 14 = -5*r - n for r. -4 Let o(y) = y**3 - 9*y**2 - 9*y - 7. Let v be o(10). Suppose v*m - 43 = -1. Solve -4*j - m = 6 for j. -5 Let r = 60 - 58. Solve -6*n = -r*n for n. 0 Suppose -4*h + o = -20, 0*h + 5*o - 10 = -2*h. Solve h*j = 22 + 3 for j. 5 Let k be 0 - 1 - 22/2. Let t be k/66 - (-92)/22. Solve -x = t*x - 10 for x. 2 Suppose -9*l + 5*l + 4 = p, 0 = -3*l + 3. Solve 2*z + 2*z - 4 = p for z. 1 Suppose -o + 20 = 4*o. Solve -3*l + o = l for l. 1 Let n = -29 + 32. Solve -i - 4 = -n*i for i. 2 Let s(w) = -w**2 - 11*w - 7. Let a be s(-9). Suppose -16 = -3*m + a. Suppose 4*y - y - m = 0. Solve -y*g + 10 = 2*g for g. 2 Let y(k) = k + 13. Let b = -15 - -5. Let o be y(b). Solve v + o - 1 = 0 for v. -2 Let z(h) = -2*h - 10. Let d be z(-5). Solve -v - 2*v - 3 = d for v. -1 Suppose -4*k + 5*k - 4 = 0. Suppose -3*s + k = s. Solve f - 2 = -s for f. 1 Let c = -2 + 3. Let p be (c - 2)*(3 + -5). Solve f = -p*f for f. 0 Suppose c - 4*r + 0 = 8, -5*r = c + 1. Suppose 0 = -c*h + 6*h. Solve h = -2*q + q for q. 0 Let a
{ "pile_set_name": "DM Mathematics" }
(k) = -2*k. Let z(p) = -31323*p. What is z(n(u))? 62646*u Let g(c) = 7*c**2. Let m(k) = 19*k. Calculate m(g(h)). 133*h**2 Let v be (-26)/(-7) - 6/(-21). Let o be (2 + (0 - 2))/((-1)/1). Let h(g) = -4 + o*g + g + v. Let x(k) = -k**2. Determine h(x(i)). -i**2 Let s(l) = -l. Let m(o) be the second derivative of 31*o**4/12 + 18*o. Give m(s(d)). 31*d**2 Let q(a) = 23*a. Let s(m) = -29*m - 2. Give s(q(w)). -667*w - 2 Let y(p) = 9*p. Let i(k) = -9*k. Calculate i(y(h)). -81*h Let w(d) = 2*d - 20*d - 17*d + 7*d. Let x(f) = 3*f**2. Determine x(w(g)). 2352*g**2 Let r(z) = 4*z. Let w(j) = 56*j. Give r(w(u)). 224*u Suppose 0 = -3*t - u - 18, -4*u = -2*t - 0 - 12. Let d(s) = -2*s - 7. Let r be d(t). Let h(l) = -r + 5 - 2*l**2. Let k(b) = -b. Calculate k(h(i)). 2*i**2 Let b be (2 - 4)*-1*2. Let g = -6 + 8. Let d(h) = 4 - b + 3*h**g. Let l(f) = f. Determine d(l(j)). 3*j**2 Let m(g) = 55*g**2 - 2*g. Let i(b) = -7*b. What is i(m(x))? -385*x**2 + 14*x Let o(l) = -2*l**2. Let w(f) be the second derivative of f**4/12 - 14*f. Give w(o(x)). 4*x**4 Let q(x) = 2*x. Let v(k) = -11769*k. Determine v(q(i)). -23538*i Let o be ((-2)/(-4))/((-1)/(-8)). Let v(a) = -4 + 3*a + o. Let k(m) = -m**2. Give k(v(s)). -9*s**2 Let u(j) = -23*j**2 - 9*j**2 + 41*j**2. Let l(x) = -2*x**2. Give u(l(r)). 36*r**4 Let g(b) = -86*b. Let d(c) = 7*c. Give g(d(l)). -602*l Let q(i) = 2*i**2. Let p(u) = u. Let w(c) be the first derivative of -5*c**2 + 5. Let o(k) = 12*p(k) + w(k). Calculate q(o(v)). 8*v**2 Let p(l) = -2 + 60*l**2 - 54*l**2 + 2. Let c(r) = 2*r. Determine c(p(o)). 12*o**2 Let u(n) be the third derivative of n**4/24 + 27*n**2. Let p(q) = -4*q**2 + 2. Give u(p(a)). -4*a**2 + 2 Let i(r) = -2*r**2. Let m(q) = 11 - 3*q - 11 + 7*q. Give m(i(d)). -8*d**2 Let a(q) = q. Let p(k) = 3*k**2 + 31*k + 36. Give p(a(v)). 3*v**2 + 31*v + 36 Let o(z) = -5*z. Let n(d) = 1211*d**2 + 1. What is o(n(v))? -6055*v**2 - 5 Let s(q) = 5*q - 3*q + q - 4*q. Let g(a) = 76*a**2. What is g(s(p))? 76*p**2 Let p(r) be the third derivative of -r**5/15 + 6*r**2 + 4. Let l(j) = 4*j**2 + 0*j + 0*j. Determine l(p(f)). 64*f**4 Let v(c) = 23 + 4*c**2 - 2*c**2 - 23. Let y(i) = -74*i**2. What is y(v(h))? -296*h**4 Let l(y) = 3*y**2. Let b(n) = -38*n**2. Give b(l(f)). -342*f**4 Let l(a) = 15*a**2. Let s(v) = v**2 - v + 1. Let z(c) = 5*c**2 - 6*c + 6. Let j(f) = -6*s(f) + z(f). Calculate j(l(o)). -225*o**4 Let a(x) = -x. Let s(z) = 2*z + 4331. Determine a(s(o)). -2*o - 4331 Let z(a) = -93*a**2. Let y(n) = -45*n. Determine z(y(g)). -188325*g**2 Let h(c) = 7*c**2 - 6*c. Suppose -3*v + 30 = -8*v. Let t(y) = -20*y**2 + 17*y. Let n(j) = v*t(j) - 17*h(j). Let z(a) = 5*a**2. Determine z(n(f)). 5*f**4 Let b(i) = i**2. Let f(g) = 6*g + 9. Let m(w) = w**3 - 10*w**2 - 12*w + 9. Let x be m(11). Let r(k) = -k - 1. Let y(q) = x*f(q) - 18*r(q). Calculate y(b(z)). 6*z**2 Let d(s) = 3*s. Let g(z) = -6*z. Let j(m) = -7*d(m) - 3*g(m). Let t(u) = -4*u. What is t(j(c))? 12*c Let x(m) = -2*m - 2 + 2. Let s(u) = 3*u**2 - 5*u + 10*u + 2*u. Let r(d) = d**2 + 2*d. Let y(z) = 7*r(z) - 2*s(z). Calculate x(y(f)). -2*f**2 Let y(i) be the third derivative of -i**7/5040 - i**5/20 - 2*i**2. Let k(j) be the third derivative of y(j). Let r(v) = 2*v**2. What is k(r(n))? -2*n**2 Suppose 2 = -6*w + 26. Let q(v) be the third derivative of -1/60*v**5 + 0 + 2*v**2 + 0*v**3 + 0*v**w + 0*v. Let l(z) = 2*z**2. Determine q(l(d)). -4*d**4 Let f(r) = -74*r. Let h(a) = -12*a. What is h(f(w))? 888*w Let w(y) be the second derivative of y**4/12 + y**2 + 7*y. Let r(n) = -4*n**2 - 7. Let h(z) = 2*r(z) + 7*w(z). Let v(s) = 9*s**2. Calculate h(v(q)). -81*q**4 Let l(i) = -i. Let z(u) = u - 1. Let k(s) = 3*s**2 - 13*s + 5. Let v(p) = -k(p) - 5*z(p). Give v(l(f)). -3*f**2 - 8*f Let b(y) = -2*y**2. Let x(c) = -3*c - 44. Give x(b(o)). 6*o**2 - 44 Let y(w) = -2*w. Suppose -2*x - 5*r = 2, -9 = -3*x - 2*r - 1. Let n(s) = -3*s. Let k(b) = x*n(b) - 5*y(b). Let p(f) = f**2. Calculate p(k(a)). 4*a**2 Let z(r) = -r + 1. Let p(f) = -6 + 0*f + 3*f + 3 - f. Let u(y) = -p(y) - 3*z(y). Let g(m) = 15*m**2. Determine g(u(l)). 15*l**2 Let v(x) = -7*x**2. Let m(n) = 27*n. Let t(p) = 11*p. Let k(b) = -5*m(b) + 12*t(b). Determine k(v(q)). 21*q**2 Let m(w) = 2*w**2. Let x be (-2)/7 - 99/21. Let z(g) = g + 6. Let t be z(x). Let c(n) = -t - 3*n**2 - 5 + 6. Determine m(c(j)). 18*j**4 Let c(l) = 28*l + 22. Let m(t) = -9*t - 7. Let s(w) = -6*c(w) - 20*m(w). Let g(k) = -4*k - 3. Let v(n) = 8*g(n) + 3*s(n). Let x(r) = -r. Calculate v(x(a)). -4*a Let f(w) = -2*w. Let h(s) = -121*s. Determine f(h(x)). 242*x Let y(x) = 11*x. Let m(z) = -z**2 + 3*z**2 + 5*z**2 - 3*z**2. Give y(m(d)). 44*d**2 Let n(d) = -2*d**2. Let k(u) = -1194*u. Calculate k(n(j)). 2388*j**2 Let w(m) = -4*m. Suppose -3 = -4*q + 5. Let s(z) = -z - q*z + z + 4*z. Give s(w(l)). -8*l Let j(h) = -18*h**2. Let c(s) = -3*s**2 + 5. Let r(o) = o**2 - 2. Let l(t) = 2*c(t) + 5*r(t). Give l(j(v)). -324*v**4 Suppose -2*q + 3*g + 61 = 3*q, q - 5*g - 21 = 0. Let s(d) = -3 + 3 + 6*d**2 - q*d**2. Let m(w) = -2*w. What is s(m(p))? -20*p**2 Let w(s) = s**2. Let h(d) be the second derivative of 5/3*d**3 + 0*d**2 + 5*d + 0. Give w(h(z)). 100*z**2 Let w(h) = 10*h. Let i(m) be the first derivative of 2*m**3/3 + 9. Calculate i(w(u)). 200*u**2 Let o(r) = -r**2 + r + 4. Let y be o(0). Let b(d) = y*d + 0 + 0 + 0. Let x(p) = -2*p. What is b(x(g))? -8*g Let c(k) = -8*k**2. Let g(v) = -167 - 4*v + 167. Calculate g(c(w)). 32*w**2 Let p(d) be the first derivative of -2*d**3/3 - 7. Let y(m) = 2*m**2. Determine p(y(f)). -8*f**4 Let l(r) = -5*r**2. Let f(z) = -2*z**2 - 6*z**2 + 11*z**2. Determine l(f(h)). -45*h**4 Let r(v) = 2*v**2. Let c(g) be the second derivative of -23*g**4/3 + 28*g. What is c(r(q))? -368*q**4 Let y(q) = 2*q. Let z(x) = -10*x**2 + 5*x + 4. Let h(l) = -29*l**2 + 16*l + 14. Let t(n) = -2*h(n) + 7*z(n). Calculate t(y(o)). -48*o**2 + 6*o Let j(y) be the first derivative of -1/2*y**2 + 6 + 0*y. Let z(m) = 2*m**2. Calculate z(j(v)). 2*v**2 Let i(m) be the third derivative of -m**5/20 - 3*m**2. Let k(x) = -x. What is k(i(v))? 3*v**2 Let l(d) be the first derivative of -d**2/2 + 1. Let n(s) = s - 1. Let f(r) = 1. Let y(v) = f(v) + n(v). Determine y(l(u)). -u Let h(r) be the first derivative of r**2 + 50. Let g(f) = 5*f**2. Give g(h(n)). 20*n**2 Let u(x) = 3*x. Let d(s) = 17*s. Let g(r) = -9*r. Let i(f) = -2*d(f) - 5*g(f). Determine u(i(v)). 33*v Let x(m) = 392*m - 783*m - 60*m**2 + 391*m. Let i(u) = 3*u**2. What is x(i(j))? -540*j**4 Let j(o) be the first derivative of o**2 + 12. Let b(d) = 12*d**2. Calculate b(j(q)). 48*q**2 Let m(b) = -2*b**2. Let a(z) be the second derivative of 0*z**3 + 0 - 11/12*z**4 + 6*z + 0*z**2. Give m(a(g)). -242*g**4 Let z(p) be the second derivative of -7*p**3/6 - 5*p. Let m(s) = 2*s**2. Calculate m(z(j)). 98*j**2 Suppose -2*q = -4 - 0. Let p(i) = -2*i - i + q*i. Let s(r) = -r + 1. Let n(t) = 9*t - 12. Let l(u) = n(u) + 12*s(u). Determine p(l(d)). 3*d Let c(f) = -f. Let i(p) = p - 1. Let v(g) = 8*g**2 + 4*g - 4. Let z(q) = 4*i(q) - v(q). What is c(z(h))? 8*h**2 Let g(p) = 7*p**2 - 6*p - 6. Let y(h) = 13*h**2 - 11*h - 11. Let q(t) = 11*g(t) - 6*y(t). Let j(x) = -9*x**2. Determine q(j(r)). -81*r**4 Let d(g) = -g - 147. Let f(y) = 3*y**2. Give d(f(b)). -3*b**2 - 147 Let d(f) be the second derivative of -2*f**3/3 + 62*f. Let u(k) be the first derivative of -k**2 - 1. Determine d(u(a)). 8*a Let u(l) be the second derivative of 1/2*l**3 + 2*l + 0*l**2 + 0. Let h(i) = -2*i - i + 2*i. Determine h(u(c)). -3*c Let x(o) = -1. Let h(u) = 68. Let y(n) = -n**2 - 1. Let t(w) = h(w) - 17*y(w). Let m(c) = -t(c) - 85*x(c). Let q(i) = 2*i. What is q(m(v))? -34*v**2 Let b(k) be the second derivative of -k + 0 + 0*k**3 - 1/12*k**4 + 0*k**2. Let m(y) be the first derivative of -y**3/3 - 4. Calculate b(m(r)). -r**4 Let h(u) = -5*u. Suppose 0 = 5*v - 10*v - 5. Let c(j) = j**2 - 1. Let x(y) = -4*y**2 + 3. Let s(i) = v*x(i) - 3*c(i). What is s(h(a))? 25*a**2 Let o(t) = t. Let g be o(4). Let z(s) = -2*s - 4*s + s + g*s. Let f(l) = 4*l - 5. Let b(h) = 3*h - 4. Let x(v) = -5*b(v) + 4*f(v). Determine x(z(r)). -r Let a(p) be the first derivative of -p**5/60 + 4*p**3/3 - 8. Let s(m) be the third derivative of a(m). Let h(b) = 10*b**2. Calculate h(s(i)). 40*i**2 Let m
{ "pile_set_name": "DM Mathematics" }
e -2 divided by -518. 1/259 Divide -260 by -260. 1 2 divided by 333 2/333 What is 780 divided by -20? -39 218 divided by 109 2 Divide 48 by -35. -48/35 What is -2 divided by -14? 1/7 Calculate -2107 divided by 6. -2107/6 What is 169 divided by 4? 169/4 Divide 16492 by 19. 868 What is -485 divided by 8? -485/8 What is -32315 divided by 5? -6463 0 divided by 267 0 What is -137 divided by 6? -137/6 What is 3 divided by -9? -1/3 What is -1 divided by 857? -1/857 What is -17 divided by 221? -1/13 Divide 5805 by -1. -5805 What is -11 divided by 143? -1/13 What is -15 divided by 10? -3/2 What is 2170 divided by -5? -434 5 divided by -9 -5/9 What is 2924 divided by 34? 86 What is -7 divided by 12? -7/12 Divide 617 by 617. 1 Divide 3032 by 758. 4 What is 856 divided by -856? -1 -6 divided by -3 2 38 divided by -10 -19/5 -1310 divided by 1 -1310 Divide -8712 by -121. 72 0 divided by 114 0 -1 divided by 14 -1/14 2 divided by 176 1/88 What is 2394 divided by 14? 171 Calculate 17275 divided by 5. 3455 512 divided by -128 -4 Calculate -224 divided by -14. 16 What is -160 divided by 40? -4 Calculate -3534 divided by 38. -93 -390 divided by -6 65 Calculate 5 divided by 214. 5/214 Divide 27 by -27. -1 Calculate -8 divided by 8. -1 Calculate -8 divided by -275. 8/275 -8 divided by -107 8/107 Calculate -119 divided by 5. -119/5 Calculate -140 divided by 2. -70 Calculate 131 divided by -7. -131/7 What is -1 divided by -1026? 1/1026 Divide 461 by -5. -461/5 What is -100 divided by 8? -25/2 -11395 divided by -3 11395/3 -6560 divided by -40 164 What is 1248 divided by 13? 96 Calculate 4048 divided by -4. -1012 Calculate 220 divided by -5. -44 What is 4988 divided by 2? 2494 What is -4368 divided by 12? -364 Calculate 896 divided by 1. 896 What is -12485 divided by -2497? 5 108 divided by 16 27/4 What is -4 divided by -2030? 2/1015 -40 divided by -10 4 What is -39 divided by -571? 39/571 2 divided by 64 1/32 What is 68 divided by -34? -2 -103 divided by 103 -1 786 divided by -5 -786/5 What is 18163 divided by -6? -18163/6 4 divided by 57 4/57 What is 4 divided by -139? -4/139 18 divided by -679 -18/679 Calculate 16272 divided by 12. 1356 Calculate -8235 divided by -915. 9 Divide -270 by 3. -90 Calculate -4364 divided by -1091. 4 Calculate 73 divided by 73. 1 Calculate -1725 divided by -115. 15 Divide 19 by -28. -19/28 Divide 5 by -5. -1 What is 405 divided by 45? 9 What is 2586 divided by -6? -431 What is 14 divided by 133? 2/19 7 divided by -123 -7/123 Divide 1123 by 6. 1123/6 Calculate -8 divided by -29. 8/29 14580 divided by 6 2430 What is 884 divided by -221? -4 Calculate -44 divided by -2. 22 314 divided by 2 157 -560 divided by 56 -10 What is 5152 divided by 1? 5152 Divide -1 by -51. 1/51 What is -191 divided by -5? 191/5 24 divided by 13 24/13 Divide -2086 by 149. -14 228 divided by 2 114 3100 divided by 50 62 -1830 divided by -6 305 What is -92 divided by -92? 1 Divide -4 by -10. 2/5 300 divided by -2 -150 Divide 165 by 55. 3 0 divided by -91 0 325 divided by -3 -325/3 What is -28 divided by 42? -2/3 -1 divided by -2805 1/2805 Divide -677 by -677. 1 Divide 891 by -3. -297 Calculate 26060 divided by -2. -13030 What is 4350 divided by -3? -1450 Divide -69 by 13. -69/13 What is 30624 divided by -3? -10208 Divide 35 by -4. -35/4 Divide -10 by -332. 5/166 What is 260 divided by -65? -4 37 divided by 37 1 What is 1705 divided by 5? 341 Calculate -155 divided by 2. -155/2 What is 0 divided by 24? 0 What is 0 divided by 394? 0 Divide 510 by -15. -34 What is -5 divided by -476? 5/476 What is 0 divided by -739? 0 Calculate -324 divided by -12. 27 Divide 2 by 43. 2/43 Calculate -45 divided by 3. -15 Divide 591 by -197. -3 Calculate -14502 divided by -3. 4834 -442 divided by 221 -2 5 divided by -34 -5/34 Calculate -5 divided by 357. -5/357 -2250 divided by 225 -10 7547 divided by 1 7547 18271 divided by 6 18271/6 What is 1790 divided by 5? 358 What is 4656 divided by -4? -1164 Divide -1850 by -1. 1850 Calculate 0 divided by -31. 0 Divide 3033 by 3. 1011 Calculate -4 divided by 49. -4/49 -61988 divided by -4 15497 What is -194 divided by 97? -2 Divide 75 by 5. 15 3 divided by -36 -1/12 154 divided by -22 -7 What is 4293 divided by -1431? -3 -2970 divided by -594 5 What is 59 divided by 32? 59/32 Calculate 193 divided by -8. -193/8 Calculate 420 divided by 6. 70 -2210 divided by 130 -17 -65 divided by -1 65 Divide -7909 by 2. -7909/2 Divide 46 by -38. -23/19 Calculate 3572 divided by -893. -4 Divide 328 by 164. 2 Calculate 4608 divided by -288. -16 What is -24438 divided by -6? 4073 Calculate 5808 divided by 132. 44 Calculate 2 divided by 11. 2/11 Divide -26 by -13. 2 5 divided by 100 1/20 Calculate 4 divided by -759. -4/759 Calculate -999 divided by -1. 999 What is -798 divided by 6? -133 Calculate -3705 divided by 13. -285 39 divided by 2 39/2 -48 divided by -1 48 What is -52 divided by -52? 1 213 divided by -71 -3 What is 69 divided by 23? 3 Calculate 9649 divided by 3. 9649/3 Calculate -99 divided by 33. -3 Divide -2215 by 443. -5 Divide 5 by -8621. -5/8621 What is -2460 divided by -205? 12 Calculate -2529 divided by 843. -3 36 divided by -5 -36/5 Divide -1029 by -6. 343/2 Divide -357 by 51. -7 What is 0 divided by 9? 0 What is -1 divided by -2176? 1/2176 21868 divided by -5 -21868/5 Calculate 606 divided by 3. 202 7 divided by 17 7/17 0 divided by -1854 0 What is -60 divided by 6? -10 Divide -365 by 73. -5 Divide -5 by 152. -5/152 What is -9 divided by -17? 9/17 What is 208 divided by 4? 52 Divide -11751 by -1. 11751 159 divided by -53 -3 Divide -7522 by -2. 3761 Calculate 2722 divided by 2. 1361 -143 divided by 2 -143/2 What is 1560 divided by 130? 12 What is 52 divided by 26? 2 114 divided by -38 -3 What is 648 divided by -43? -648/43 Divide -310 by 5. -62 What is 692 divided by 173? 4 -34 divided by 2 -17 Divide -195 by -39. 5 Calculate 2 divided by 28. 1/14 What is 184 divided by 5? 184/5 9645 divided by -1929 -5 Calculate 29792 divided by -56. -532 What is 0 divided by -5998? 0 What is 6 divided by 1511? 6/1511 Calculate -620 divided by -2. 310 0 divided by -57 0 Calculate -1700 divided by 85. -20 Divide -1207 by -1207. 1 0 divided by -90 0 90 divided by 5 18 Calculate -3 divided by -1201. 3/1201 Divide -6 by 1980. -1/330 480 divided by 4 120 What is -533 divided by -1? 533 What is -5 divided by 1989? -5/1989 Calculate 6 divided by -11. -6/11 -917 divided by 2 -917/2 2080 divided by 104 20 What is -28 divided by 63? -4/9 Divide -7664 by -2. 3832 Calculate 3548 divided by -4. -887 Divide -1023 by 2. -1023/2 5391 divided by 599 9 Calculate -357 divided by -68. 21/4 Divide 447 by 2. 447/2 Divide 8648 by 92. 94 Calculate -3 divided by -26. 3/26 Divide -22 by 14. -11/7 Divide 0 by -3638. 0 What is -13070 divided by -2? 6535 Calculate -23 divided by -8. 23/8 -472 divided by 236 -2 Divide -1844 by 461. -4 What is -136 divided by 136? -1 Divide 15938 by 7969. 2 Calculate -7820 divided by -5. 1564 What is -4 divided by 41? -4/41 -300 divided by 5 -60 Calculate -119 divided by 4. -119/4 What is 7091 divided by -1? -7091 8 divided by 172 2/43 517 divided by 517 1 Divide 110 by 55. 2 Calculate 31694 divided by -1. -31694 What is -2 divided by -6? 1/3 9 divided by 3 3 Divide -59 by 59. -1 Calculate 761 divided by -9. -761/9 Divide 70 by 2. 35 Calculate 152 divided by 10. 76/5 Divide 1008 by 12. 84 Divide -11016 by 68. -162 Calculate -5130 divided by 5. -1026 Calculate 7 divided by 130. 7/130 40 divided by -40 -1 Divide 1207 by 5. 1207/5 Calculate -90 divided by -1. 90 -233 divided by -233 1 Divide -4 by 289. -4/289 Divide -171 by 57. -3 What is -10 divided by -27? 10/27 Divide -12 by 4. -3 What is 546 divided by -4? -273/2 What is -155 divided by 5? -31 Calculate 24645 divided by -5. -4929 Calculate -4 divided by 30. -2/15 5 divided by 1397 5/1397 Calculate -4 divided by 64. -1/16 Divide 58 by 3. 58/3 What is -592 divided by -6? 296/3 -1173 divided by 5 -1173/5 What is -1799 divided by 5? -1799/5 Divide 8 by -2. -4 98 divided by 70 7/5 Calculate 9 divided by 8. 9/8 Divide -2 by -1. 2 What is 1803 divided by -5? -1803/5 What is 1332 divided by -4? -333 Calculate -54 divided by -8. 27/4 Divide -255 by -4. 255/4 Calculate 0 divided by 281. 0 What is -392 divided by -4? 98 1
{ "pile_set_name": "DM Mathematics" }
o (b) -1/5 (c) 0.4 b Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9 b Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2? w Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0 c Let u = -1.5 + 1.1. Which is the nearest to 2/11? (a) u (b) 2 (c) 4/7 c Suppose 10 = -5*g - 5. What is the closest to 0 in g, 0.1, -4? 0.1 Let k = 3.5 - 1.5. Which is the closest to -0.2? (a) 3 (b) k (c) 1 c Let x be (-18)/(-52) - (-1)/(-2). Let h(q) = -q**2 + 1. Let t be h(0). Let z be ((-1)/t)/((-6)/12). Which is the nearest to -1? (a) x (b) z (c) 0 a Let p = 0.07 - 0.27. Let u = 198 - 1784/9. Which is the closest to 1? (a) p (b) u (c) -0.6 a Suppose -21 = -3*r + 5*g - 9, -5*g = -r + 4. Which is the closest to 0.1? (a) r (b) 0.5 (c) 2 b Let p = -12.2 + 12. Let b = p - -1.2. Let j = 0.8 - -0.2. What is the nearest to b in j, 1/2, 2/9? j Let i(t) = t**3 + 5*t**2 + 4*t - 1. Let z be i(-3). Let n = z + -7. What is the nearest to -2 in n, -0.1, -0.3? n Let x be (1 + (-16)/12)*2. Which is the closest to 1? (a) x (b) -3/4 (c) 2/7 c Let z = -0.967 + -0.033. Which is the nearest to 2? (a) -0.1 (b) 2 (c) z b Let q = 0 + -1. Let w = -11/90 + -1/10. Suppose 0*o + o = 2. Which is the closest to q? (a) w (b) o (c) 0.5 a Suppose 4*p = 7*p - 3*o + 3, 0 = 5*p + 3*o - 11. Let a = -1 - -3. What is the closest to -2/3 in a, 0.3, p? 0.3 Let u = 23 + -28. Let k = -0.6 + 2.6. What is the closest to k in -3, u, -0.2? -0.2 Let j = -4.07 - -0.07. Let g be 2/(-3) + 44/57. Let s = -16 + 14. Which is the nearest to s? (a) j (b) 3/2 (c) g a Let g = 203/6 - 34. Let n = -97 - -487/5. Let k = 3/29 + -38/87. What is the nearest to k in g, n, -3? g Let y = -2 - -3. Let z = 4.8 + -3.77. Let u = z + -0.03. What is the closest to y in -4, u, -4/5? u Let u = -25 + 26. Which is the nearest to u? (a) -2 (b) -2/5 (c) -3/5 b Let d = -222 - -1106/5. Let m = -4.018 + 0.018. What is the nearest to 0 in m, 0.5, d? 0.5 Let o = -1.4 + 1.7. Which is the closest to -3? (a) -2/3 (b) o (c) 0.5 a Let f = 0.1 - -0.2. Which is the closest to 0? (a) -0.2 (b) f (c) -4 a Let d(l) be the second derivative of l**5/20 + l**4/2 - 7*l**3/6 + l. Let w be d(-7). Which is the closest to 1/4? (a) -0.3 (b) -4 (c) w c Let f be (2/(-4)*0)/2. Suppose -m - v + 8 = -f*m, 0 = -4*v + 20. Let i = 23 + -23.2. What is the nearest to -1 in 3/4, i, m? i Let v = -7 - -7.1. What is the nearest to v in 1, 5, 0.02? 0.02 Let r = -1 + 1. Let n = 9.91 - 10. Let u = -0.01 + n. Which is the nearest to u? (a) r (b) 0.5 (c) 5 a Let u = -7.4 + 7. What is the closest to 0 in -0.2, u, 1? -0.2 Suppose -4*t + 9*t = 0. Which is the closest to 2/21? (a) 2/7 (b) t (c) 2 b Let o = 0.08 - 0.33. Let i = o - -0.65. Which is the nearest to 2? (a) 5 (b) i (c) 0.2 b Let j = -0.2 + 0.7. Let w be (-6)/2*(-4)/(-10). Let y = -0.06 - -0.16. What is the nearest to y in w, 2/9, j? 2/9 Let j be (3/(-2))/((-63)/12). What is the closest to j in 0.5, 0, 0.4? 0.4 Let r = 0.3 + 0.2. Let s = 8.2 - 8. Which is the closest to s? (a) -1/9 (b) 5 (c) r c Let h = -3 + 2. Let w be (1 - h) + (-8)/5. Suppose -2*f = -3*f + 2*o + 2, 5*f + 2*o = -14. Which is the closest to f? (a) -5 (b) 3 (c) w c Let j be 5/(-3) + (-1 - -3). Which is the nearest to j? (a) 4/9 (b) -2 (c) -2/17 a Let b = 10 + -17. Let l = -11 - b. What is the closest to 0.1 in l, 2, -1/6? -1/6 Let x = 76903/225 + -3077/9. Let l = 8/25 + x. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.04 c Let s = 3 - 8. Let m be 8 - (-8)/((-200)/215). What is the nearest to -1 in s, -5/4, m? -5/4 Let l = 11.9 + -12. What is the closest to l in 4, -1, -1/3? -1/3 Let k be 1 - (5 - 3/3). Let r = -1643/6 - -273. Which is the closest to 0.1? (a) k (b) 3 (c) r c Let m = -2.6 + 4.6. What is the closest to m in -2/3, 0, 3? 3 Let o = 0.24 + -0.04. Which is the closest to 0.3? (a) o (b) -0.5 (c) 2 a Let b be 6/5*2/(-6). Let v = -7 + 12. What is the nearest to 2 in b, v, 1/9? 1/9 Let n = -1 + 4. Let f = 2 - n. Let k be (6 - 4) + (-8)/5. What is the closest to k in f, 0, -5? 0 Let u be 2/(-4)*48/(-30). Which is the closest to -2/5? (a) -0.6 (b) 4 (c) u a Let f = 1 + 1. Let g = 727 - 729. Let o = -25 - -49/2. What is the nearest to o in -0.2, g, f? -0.2 Let x = 95 - 93.1. Let g = 8 - 7.1. Let r = g - x. What is the closest to -2 in 0.1, 5, r? r Let i(r) = -r**2 - 9*r - 9. Let u be i(-8). Let f be 3*u/(-27)*2. Let m be (1 + 5)/((-12)/8). Which is the nearest to 1? (a) m (b) 2/13 (c) f c Suppose 16 = -z + 2*d + 2*d, 2*d + 6 = -3*z. Let n be 117/126 - (-2)/z. Which is the closest to -1? (a) 0.5 (b) -4 (c) n c Let w = 1.2 - -1.8. Suppose 3*z = -2*z + 10. What is the nearest to -0.1 in z, -4, w? z Let d = 2 - 4. Let g be ((-3)/(-12))/(1/d). Let t = 0.02 - 0.22. Which is the nearest to 1? (a) t (b) -1/4 (c) g a Let o = -0.2 + 0.3. What is the closest to o in 0.5, 2, -5? 0.5 Let c be 1/(2 + 3/(-3)). Let f = -0.03 - 0.47. Let o be 3*(0 + 3/(-12)). What is the nearest to c in o, 2, f? 2 Let g be (1 - (2 + -1))*1. Let n(q) = q**2 + 2*q - 4. Let s be n(-4). Suppose g = -3*y - s - 8. Which is the closest to 1? (a) 1 (b) 1/3 (c) y a Let h be (4 + 45/(-10))/1. Which is the closest to h? (a) 5/2 (b) 2 (c) 1/3 c Let n = 81.9 + -63. Let o = 16 - n. Let k = o - -3. Which is the closest to -1? (a) -2 (b) k (c) 2/15 a Let j = 0.2 + -0.1. Suppose n + 4*n = 55. Let o(i) = i**3 - 10*i**2 - 10*i - 8. Let s be o(n). Which is the closest to j? (a) -5 (b) s (c) -2/9 c Let a = 119 + -119. What is the closest to -2/3 in a, -0.2, 0.3? -0.2 Let i = 13.9 + 0.1. Let q = 11 - i. What is the closest to -0.2 in -2, q, -0.4? -0.4 Let t = 0.111 + -0.611. What is the closest to 2/5 in -5, 1/65, t? 1/65 Let q = -3.2 - 0.8. Let s = q - -3.6. Which is the closest to 1? (a) s (b) -3 (c) 3 a Let t = -136 + 133. What is the closest to -1 in 8, -1, t? -1 Let q = -182.7 + 183. What is the nearest to -2/7 in -0.5, q, -2? -0.5 Let d = 6 + -8. Which is the closest to 9? (a) -1/2 (b) 0.3 (c) d b Let h be 17/(-6) - (0 - -1). Let w = h - -95/24. Let n = 2 - 2. Which is the closest to 1/2? (a) w (b) 0.2 (c) n b Let i = 2 + -1.9. Let x = 0.396 + -5.396. What is the closest to i in 0.1, -0.2, x? 0.1 Let m = -3.7 + 4. Let t = -11 - -11.7. Let l = m + t. Which is the closest to l? (a) -1/4 (b) 1 (c) -2 b Suppose -y = -m + 3*y - 14, -m - 5*y + 31 = 0. Let d = m + -1. What is the nearest to 2/5 in -0.2, -1, d? -0.2 Suppose -4*n + 10 + 8 = -2*d, 3*n = -d + 21. Let y be ((-3)/7)/(n/4). Which is the closest to 0? (a) y (b) -5 (c) 0.1 c Let n be ((-2)/12)/(7/(-406)). Let l = 9 - n. What is the nearest to l in 0.5, 2/7, 2? 2/7 Let i = -19 - -13. Let j = i - -4. Let w be 2 + -2 - 1/4. Which is the closest to w? (a) j (b) 1/10 (c) 0.3 b Let d = -14 - -8. Let c = 28.5 + -29. What is the closest to -2 in c, d, -4? c Let j = 4 + -4. Let g = -0.54 - 2.46. Let q = 7 + -11. What is the nearest to j in q, g, -0.4? -0.4 Let r be (-4)/(-6) - (-32)/(-66). Let y = -3 + 2. Let x = -2.13 + 0.13. Which is the closest to 1? (a) x (b) r (c) y b Let i = 0.3 + -0.2. Let c = 0.45 + -0.05. Let q = i + c. What is the nearest to -0.1 in 4/9, q, 5? 4/9 Let v = -20.5 + 21. Let n = -2 + 2.2. Which is the nearest to n? (a) 0.4 (b) -3/7 (c) v a Let o = 4 - 3.5. Let c = -192 + 1726/9. What is the closest to c in 4, o, -1/9? -1/9 Let x be 217/21 - 2/6. Let c be 1/2 - (-15)/x. Let g = -2 + c. What is the closest to g in -2, -2/23, -1? -2/23 Let y = 0 + -0.2. Let v = -20 - -20. Which is the nearest to v? (a) -1/10 (b) y (c) -0.4 a Let b = 0 - -1. Let a be (-20)/(-16)*(-8)/20. What is the nearest to b in a, -0.4, -0.2? -0.2 Let o be (-20)/(-40) + (-7)/6. What is the nearest to o in -0.01, -5, -1? -1 Let p = -0.6 - -0.2. Let t = p + 0.3. Which is the closest to t? (a) -1 (b) 0 (c) 2/7 b Let t = -2/21 - 17/42. Let d = 32 + -30. Which is the nearest to 2? (a) t (b) 5 (c) d c Let z be ((3 - -1) + -3)/7. What is the closest to -1 in z, -4, 1/2? z Let t = -8 + 7.5. Let h = -3 + 6. What is the closest to 2/9 in 3/4, t, h? 3/4 Let b be 0/(-1) - (-7 - -9). Let g be ((-6)/3)/(5/b). What is the nearest to 0.3 in g, 2, -5? g Let
{ "pile_set_name": "DM Mathematics" }
Three letters picked without replacement from eeezeeezeeze. Give prob of picking 1 z and 2 e. 27/55 Two letters picked without replacement from {z: 1, r: 1, y: 2, x: 1}. What is prob of picking 1 r and 1 y? 1/5 Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 2, y: 2, a: 1, b: 1, p: 2, h: 1}. 1/18 Calculate prob of picking 1 b and 2 r when three letters picked without replacement from {p: 1, m: 1, y: 3, b: 3, c: 1, r: 2}. 1/55 Two letters picked without replacement from {p: 5, c: 1, a: 3, j: 1, x: 3, d: 4}. Give prob of picking 1 d and 1 x. 3/34 Three letters picked without replacement from aarraraaaaaa. Give prob of picking 2 r and 1 a. 27/220 Two letters picked without replacement from {d: 4, n: 3, r: 1, h: 4, u: 1, t: 1}. What is prob of picking 1 u and 1 n? 3/91 Four letters picked without replacement from {l: 2, g: 3, h: 15}. What is prob of picking 4 h? 91/323 What is prob of picking 1 r, 2 m, and 1 v when four letters picked without replacement from rrmbrvm? 3/35 What is prob of picking 2 r when two letters picked without replacement from {r: 2, x: 2}? 1/6 Three letters picked without replacement from ttnnnttnntnwtnwtnw. What is prob of picking 1 t and 2 w? 7/272 Three letters picked without replacement from fdzxddx. Give prob of picking 1 d, 1 f, and 1 x. 6/35 Two letters picked without replacement from hkbhgzv. Give prob of picking 1 h and 1 v. 2/21 Calculate prob of picking 1 t and 1 d when two letters picked without replacement from nmdstqq. 1/21 Two letters picked without replacement from txtxftxtxitttxttx. Give prob of picking 2 x. 15/136 Two letters picked without replacement from {n: 5, d: 8, s: 2}. What is prob of picking 2 d? 4/15 Two letters picked without replacement from nqhsudnu. Give prob of picking 1 u and 1 n. 1/7 What is prob of picking 1 k and 2 z when three letters picked without replacement from dddkdzkdddqdddqoqzd? 2/969 Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}. 1 Two letters picked without replacement from {y: 1, a: 1, v: 4, m: 2}. What is prob of picking 1 a and 1 m? 1/14 Two letters picked without replacement from zzkkzgpzppkgz. Give prob of picking 2 k. 1/26 Two letters picked without replacement from lddlttdldttt. What is prob of picking 2 l? 1/22 Four letters picked without replacement from hachcahacmhahahmcaaj. What is prob of picking 1 c and 3 h? 16/969 What is prob of picking 1 z, 2 u, and 1 g when four letters picked without replacement from uzrruzrsuruzzkg? 8/455 What is prob of picking 2 y when two letters picked without replacement from {e: 9, y: 3}? 1/22 What is prob of picking 3 r and 1 t when four letters picked without replacement from {t: 8, m: 2, r: 5}? 16/273 Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, n: 1}. 1/2 Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {z: 10, e: 2, p: 1, w: 1}. 1/364 Four letters picked without replacement from {b: 1, t: 2, m: 1, a: 10, h: 3, o: 1}. What is prob of picking 1 a, 2 h, and 1 b? 1/102 Three letters picked without replacement from etehetteoteeeeeezeo. Give prob of picking 1 h, 1 o, and 1 t. 8/969 Four letters picked without replacement from {g: 1, q: 4, t: 1, m: 6, n: 8}. What is prob of picking 1 q, 1 m, 1 n, and 1 t? 64/1615 Three letters picked without replacement from iiqqiq. What is prob of picking 3 i? 1/20 Three letters picked without replacement from {a: 18, g: 2}. What is prob of picking 3 a? 68/95 Four letters picked without replacement from uufuoumamsmm. What is prob of picking 2 m, 1 o, and 1 a? 2/165 Three letters picked without replacement from {d: 7, q: 6}. What is prob of picking 3 d? 35/286 Four letters picked without replacement from {n: 3, h: 2, d: 7, k: 1, t: 5}. Give prob of picking 1 n and 3 t. 1/102 Two letters picked without replacement from jefvifu. Give prob of picking 1 u and 1 e. 1/21 Two letters picked without replacement from mlmmmlummucluumcmm. Give prob of picking 2 l. 1/51 Two letters picked without replacement from fpamnmav. Give prob of picking 1 n and 1 v. 1/28 What is prob of picking 3 q when three letters picked without replacement from {q: 9}? 1 Calculate prob of picking 1 i, 1 n, and 1 c when three letters picked without replacement from ncibi. 1/5 Calculate prob of picking 1 h and 1 p when two letters picked without replacement from fhpjm. 1/10 Calculate prob of picking 3 k and 1 d when four letters picked without replacement from dppdaknkkkdkdkppnkk. 56/969 What is prob of picking 1 n, 1 d, and 1 o when three letters picked without replacement from {e: 1, d: 2, n: 2, b: 4, o: 1, f: 2}? 1/55 What is prob of picking 1 l, 1 z, and 1 d when three letters picked without replacement from {l: 1, v: 1, z: 4, a: 3, p: 1, d: 5}? 4/91 What is prob of picking 1 z, 1 n, 1 u, and 1 m when four letters picked without replacement from udiuzzmmdnzizzmunz? 3/85 Three letters picked without replacement from {h: 1, q: 16, e: 3}. Give prob of picking 2 e and 1 h. 1/380 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {s: 4, m: 6, a: 1, g: 3}. 3/91 Calculate prob of picking 4 w when four letters picked without replacement from {k: 3, w: 9}. 14/55 Three letters picked without replacement from {k: 1, n: 6, i: 3, m: 2}. Give prob of picking 2 n and 1 k. 3/44 Three letters picked without replacement from cycosyecsnyy. Give prob of picking 1 s, 1 o, and 1 c. 3/110 Two letters picked without replacement from {x: 3, n: 1}. What is prob of picking 2 x? 1/2 Three letters picked without replacement from {o: 3, z: 6, s: 8}. Give prob of picking 2 s and 1 o. 21/170 Three letters picked without replacement from {p: 9, k: 3}. Give prob of picking 3 p. 21/55 What is prob of picking 2 e and 1 y when three letters picked without replacement from yyene? 1/5 Two letters picked without replacement from eemcxemcceeeecmxeexe. What is prob of picking 2 c? 3/95 What is prob of picking 2 d and 1 y when three letters picked without replacement from {t: 2, q: 1, g: 2, y: 3, d: 4}? 9/110 Two letters picked without replacement from vovvvvo. Give prob of picking 2 o. 1/21 Two letters picked without replacement from {t: 1, e: 3, j: 4, p: 2, s: 9}. What is prob of picking 1 p and 1 j? 8/171 What is prob of picking 2 j when two letters picked without replacement from {e: 5, j: 3}? 3/28 What is prob of picking 1 d, 1 o, and 1 a when three letters picked without replacement from oamqaoqvd? 1/21 Two letters picked without replacement from {i: 1, a: 3, m: 3, x: 6}. What is prob of picking 1 x and 1 i? 1/13 Four letters picked without replacement from {i: 1, q: 1, u: 2, v: 2, n: 2}. What is prob of picking 1 u and 3 q? 0 Calculate prob of picking 1 n and 1 d when two letters picked without replacement from mmnnmnnmmdm. 4/55 Two letters picked without replacement from {w: 1, m: 2, z: 6, h: 7, o: 2}. Give prob of picking 2 z. 5/51 What is prob of picking 1 g, 1 x, and 2 m when four letters picked without replacement from timmmmxttgiimgiitgt? 5/646 Four letters picked without replacement from rbrbrrbbrrrrrrrb. What is prob of picking 2 r and 2 b? 55/182 Two letters picked without replacement from {q: 3, i: 6, v: 3, r: 3}. What is prob of picking 1 r and 1 v? 3/35 Two letters picked without replacement from adfiamdggad. What is prob of picking 1 i and 1 f? 1/55 Calculate prob of picking 3 t and 1 f when four letters picked without replacement from {f: 3, t: 5}. 3/7 Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {n: 2, z: 1, s: 1, m: 2, y: 1}. 2/21 Two letters picked without replacement from ofudoeueoeeefefdo. What is prob of picking 1 f and 1 e? 9/68 Four letters picked without replacement from {c: 5, r: 2, k: 3}. Give prob of picking 3 c and 1 r. 2/21 What is prob of picking 1 x, 2 y, and 1 r when four letters picked without replacement from yrzzzsrzrzyzrzzsxzrz? 1/969 Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 3, o: 1, v: 12}. 3/10 Two letters picked without replacement from krree. Give prob of picking 1 r and 1 e. 2/5 Three letters picked without replacement from {o: 6, j: 5, x: 2
{ "pile_set_name": "DM Mathematics" }
8 How many grams are there in 7/4 of a kilogram? 1750 What is 18/5 of a litre in millilitres? 3600 Convert 26.39601 centuries to decades. 263.9601 What is five quarters of a century in months? 1500 How many litres are there in 113822.1 millilitres? 113.8221 What is 7/4 of a hour in seconds? 6300 How many minutes are there in fourty-six fifths of a hour? 552 Convert 34.92752l to millilitres. 34927.52 What is 59/5 of a hour in seconds? 42480 How many micrograms are there in 3.137691 grams? 3137691 How many micrometers are there in one tenth of a millimeter? 100 How many millilitres are there in six fifths of a litre? 1200 How many years are there in 11.00005 centuries? 1100.005 How many micrograms are there in 3032.368g? 3032368000 How many hours are there in 665630.91 microseconds? 0.000184897475 What is 7/8 of a meter in millimeters? 875 What is one sixth of a hour in minutes? 10 What is 0.8881521um in nanometers? 888.1521 What is seventeen halves of a gram in milligrams? 8500 What is 37/2 of a millennium in decades? 1850 How many micrograms are there in 21/2 of a milligram? 10500 What is 37/5 of a millennium in centuries? 74 What is 11/4 of a century in years? 275 Convert 1722.8844 hours to days. 71.78685 What is one twentieth of a microgram in nanograms? 50 How many tonnes are there in 7246.986 micrograms? 0.000000007246986 How many millilitres are there in seven quarters of a litre? 1750 How many decades are there in 0.3407272 millennia? 34.07272 What is seven quarters of a gram in milligrams? 1750 How many millilitres are there in 1/20 of a litre? 50 What is 119.0718 kilograms in milligrams? 119071800 What is 1/10 of a day in seconds? 8640 How many millimeters are there in 49447.76 meters? 49447760 Convert 91774.2 milligrams to tonnes. 0.0000917742 How many millennia are there in 82.082 years? 0.082082 What is one fifth of a litre in millilitres? 200 What is three eighths of a tonne in kilograms? 375 What is 75/4 of a day in minutes? 27000 How many milligrams are there in 7/2 of a gram? 3500 What is 77/5 of a centimeter in millimeters? 154 What is 7.591524 months in centuries? 0.00632627 How many centuries are there in twenty-six fifths of a millennium? 52 How many seconds are there in 759.3347ms? 0.7593347 How many years are there in one fifth of a century? 20 Convert 437143.1 nanometers to meters. 0.0004371431 How many millimeters are there in 2/125 of a meter? 16 How many millimeters are there in three eighths of a meter? 375 How many months are there in 26/5 of a decade? 624 How many months are there in eight thirds of a year? 32 How many centimeters are there in 11/10 of a meter? 110 How many months are there in 21/8 of a century? 3150 What is 7.243526 milligrams in grams? 0.007243526 What is three eighths of a litre in millilitres? 375 How many millilitres are there in sixty-four fifths of a litre? 12800 How many centimeters are there in one tenth of a meter? 10 How many millimeters are there in 62902.47cm? 629024.7 What is 1/10 of a gram in micrograms? 100000 What is 336857.85ms in hours? 0.093571625 What is 1/100 of a litre in millilitres? 10 What is five quarters of a litre in millilitres? 1250 What is 53/5 of a litre in millilitres? 10600 How many litres are there in 2.933312 millilitres? 0.002933312 How many milligrams are there in eleven tenths of a gram? 1100 What is one fifteenth of a minute in seconds? 4 How many micrometers are there in 3/10 of a millimeter? 300 How many nanograms are there in 81452.02g? 81452020000000 What is twenty-one fifths of a gram in milligrams? 4200 How many kilograms are there in 82814.26ug? 0.00008281426 How many micrometers are there in eleven halves of a millimeter? 5500 Convert 18111.38t to kilograms. 18111380 Convert 26897.69 decades to centuries. 2689.769 What is 3/5 of a day in seconds? 51840 How many millennia are there in 4.243674 years? 0.004243674 What is 0.0699721 milligrams in grams? 0.0000699721 How many milligrams are there in 6/5 of a gram? 1200 How many nanometers are there in 162.2133cm? 1622133000 How many nanograms are there in 3/40 of a milligram? 75000 What is 2/75 of a millennium in months? 320 How many kilometers are there in 204.938 centimeters? 0.00204938 How many nanometers are there in 3/25 of a micrometer? 120 What is 40.58156 weeks in minutes? 409062.1248 How many decades are there in 6248.273 years? 624.8273 What is 36.72328 micrometers in millimeters? 0.03672328 Convert 8.806487 grams to nanograms. 8806487000 How many nanograms are there in 3/25 of a microgram? 120 How many litres are there in 96.76218 millilitres? 0.09676218 What is 19/4 of a millimeter in micrometers? 4750 How many minutes are there in 13/5 of a week? 26208 What is 1543482.9 months in decades? 12862.3575 How many centuries are there in 951.487 years? 9.51487 What is 3/32 of a millimeter in nanometers? 93750 What is 11/4 of a milligram in micrograms? 2750 What is 66715.96km in micrometers? 66715960000000 How many months are there in 2/75 of a century? 32 How many millilitres are there in fifteen quarters of a litre? 3750 What is 1/5 of a centimeter in millimeters? 2 Convert 797966.2 kilometers to micrometers. 797966200000000 What is three tenths of a kilometer in meters? 300 How many seconds are there in thirty-one halves of a hour? 55800 How many minutes are there in one sixth of a day? 240 What is 7/4 of a hour in seconds? 6300 What is 2969.68 weeks in minutes? 29934374.4 Convert 662224.6 millennia to years. 662224600 What is thirty-seven halves of a hour in seconds? 66600 How many millilitres are there in 91756.6 litres? 91756600 What is 29.01968 milligrams in nanograms? 29019680 How many minutes are there in 4/15 of a week? 2688 What is 8384.098 centimeters in nanometers? 83840980000 How many litres are there in 9.246558ml? 0.009246558 Convert 15396.77l to millilitres. 15396770 Convert 2415.645 micrograms to nanograms. 2415645 How many millilitres are there in 12/25 of a litre? 480 What is 71305.9 nanograms in kilograms? 0.0000000713059 What is seven quarters of a minute in seconds? 105 How many kilograms are there in 8/25 of a tonne? 320 Convert 1.163757 days to seconds. 100548.6048 How many millilitres are there in 5/4 of a litre? 1250 What is seven quarters of a centimeter in micrometers? 17500 Convert 41298.6ng to kilograms. 0.0000000412986 Convert 0.3125889 kilograms to nanograms. 312588900000 Convert 34.78847t to micrograms. 34788470000000 Convert 76539.73 kilometers to centimeters. 7653973000 How many months are there in one quarter of a century? 300 What is 440203.6 decades in millennia? 4402.036 What is 7276.02 hours in milliseconds? 26193672000 What is 98.96657 kilometers in nanometers? 98966570000000 How many centuries are there in 11.554896 months? 0.00962908 What is 700312.9 millennia in decades? 70031290 Convert 47.65532 years to centuries. 0.4765532 How many micrometers are there in 5/4 of a centimeter? 12500 What is 21/2 of a year in months? 126 What is 13110.64 centuries in years? 1311064 What is thirteen fifths of a litre in millilitres? 2600 What is 1.160104 grams in nanograms? 1160104000 How many millilitres are there in three tenths of a litre? 300 How many meters are there in 83.48009mm? 0.08348009 How many hours are there in 208.61118 nanoseconds? 0.00000000005794755 How many millilitres are there in fifty-seven halves of a litre? 28500 What is 86092.26ml in litres? 86.09226 How many grams are there in 53/5 of a kilogram? 10600 What is 2.2611 years in decades? 0.22611 What is 11/2 of a meter in millimeters? 5500 Convert 1445.36ml to litres. 1.44536 How many meters are there in six fifths of a kilometer? 1200 What is 82.49722 nanograms in tonnes? 0.00000000000008249722 How many kilograms are there in 3782.289 grams? 3.782289 What is thirteen quarters of a millimeter in micrometers? 3250 How many millilitres are there in nine tenths of a litre? 900 What is 560.2554 years in decades? 56.02554 Convert 502327.4 kilometers to centimeters. 50232740000 What is 51789.636ms in hours? 0.01438601 How many nanoseconds are there in 8/25 of a microsecond? 320 How many millilitres are there in 37/5 of a litre? 7400 How many centimeters are there in 6/25 of a meter? 24 How many millil
{ "pile_set_name": "DM Mathematics" }
*2. 10*sqrt(7)/3 + 252 Simplify (-1*sqrt(324) - sqrt(288)/sqrt(128))/(5*(sqrt(12) + sqrt(60)/sqrt(5)*1 - -3*sqrt(60)/sqrt(5))). -13*sqrt(3)/100 Simplify 3*3*(-4 + 5*(-4 + sqrt(605)*2 + sqrt(605) + sqrt(605) + sqrt(605))**2 + 0)*-6. -4087854 + 118800*sqrt(5) Simplify (3*sqrt(133)*2)/(sqrt(567) - (sqrt(567) + (sqrt(567) + -2*sqrt(567) - sqrt(567)))) + -1*(-3 + 5*1*sqrt(684))**2. -17109 + 541*sqrt(19)/3 Simplify -4 + (0 + sqrt(363))**2 + -4 + (-3*sqrt(3))**2 + -5 + 5 + -4 + -1. 377 Simplify -6*5*(-1*sqrt(475) + -3 + sqrt(133)/(sqrt(7) + sqrt(21)/(sqrt(15)/sqrt(5)) - sqrt(7))). 90 + 120*sqrt(19) Simplify (2*(-2*(1 + sqrt(1100) + 1 + -3) + 4*(sqrt(891) + 0 + sqrt(891) - (sqrt(11)*-1 + 0)) + 3))**2. 2240*sqrt(11) + 138084 Simplify 6*(-4 + -4 + sqrt(1584) + sqrt(1584) + (sqrt(1584) + sqrt(1584) + -1*sqrt(1584))*6 + sqrt(1584) + (2 + sqrt(1584))*-6 + 0 + 1)**2. -8208*sqrt(11) + 87702 Simplify (5 + -6*(-4*(sqrt(1539) + -3) + sqrt(1539) + 0 + 2 + (sqrt(1539) + -5)*-1))**2. -47088*sqrt(19) + 898345 Simplify ((sqrt(180) + 0 + sqrt(180) - sqrt(180))*-2)**2 + sqrt(180) + 1 + 0 - (sqrt(50)/(sqrt(10)*4) - (-5*(sqrt(80) + sqrt(5)))**2). 23*sqrt(5)/4 + 3846 Simplify (sqrt(4400) + 4*-2*sqrt(4400) - (sqrt(4400)*-1*5 + sqrt(4400)))/(sqrt(144)*-2*-6 + (1*1*sqrt(144) - sqrt(144))). -5*sqrt(11)/12 Simplify (-4*sqrt(350)*5)/((sqrt(252) + sqrt(252) + -5*sqrt(252) + sqrt(252) - sqrt(252) - sqrt(28))/sqrt(4)). 10*sqrt(2) Simplify -2*(((-2*sqrt(468))**2*2 - (sqrt(468) - (5 + sqrt(468) + 1))**2) + -2 + sqrt(468) + -2 + -4). -7400 - 12*sqrt(13) Simplify -4*((sqrt(28)/(sqrt(8)/sqrt(4)) - -2*sqrt(14)*-1)/(-3*sqrt(32)*-2))**2. -7/144 Simplify ((-6*(sqrt(612) + -3) + 4 - (-1 + sqrt(612) + -2 + sqrt(612) - (sqrt(612) - (sqrt(612) + 1*sqrt(612) + 5)))) + -2)**2. -1944*sqrt(17) + 49896 Simplify ((-6*2*sqrt(3300)*2)/(-1*sqrt(3)*-3 + sqrt(21)/(sqrt(7)*-4)))**2. 921600/11 Simplify ((-5 + 2*(-3 + sqrt(171)/(-2*sqrt(9)))*2)*3)**2 + 2. 612*sqrt(19) + 3287 Simplify -5 + -1*sqrt(2673)/sqrt(3) - (sqrt(22)/(5*sqrt(2)) - sqrt(396)*-1). -76*sqrt(11)/5 - 5 Simplify (-5 + 2*(-3 + -6*((1 + sqrt(80))*-2 - sqrt(80) - sqrt(80)))*6)**2. 237312*sqrt(5) + 6646129 Simplify -1*(4*sqrt(1700) + -4 - (-2*sqrt(1088) + -5))**2. -53313 - 112*sqrt(17) Simplify -1*((2 + sqrt(108) + 1)*-6 + (sqrt(9)/sqrt(3) + -4 - (2*sqrt(3) + -3)) + 4) + 1. 16 + 37*sqrt(3) Simplify (1 + 2*(sqrt(35)/(2*sqrt(5)))**2 - ((sqrt(56)/(sqrt(8)*3))**2 - (-5 + (-3*sqrt(7))**2))) + -4. 1039/18 Simplify ((2*sqrt(1584) + 3 - sqrt(1584)) + 1*sqrt(1584)*2 + 1)**2 - ((sqrt(132) + (sqrt(132)*2*-6 - sqrt(132)))/sqrt(12) + 5)*5. 348*sqrt(11) + 14247 Simplify (3 + (-5*(-2 + 1 + sqrt(833) - sqrt(833)) - ((2*sqrt(833) - sqrt(833))*4 - (2 + (sqrt(833) - 1*sqrt(833)) + sqrt(833) - sqrt(833)))))**2. -560*sqrt(17) + 13428 Simplify (-1*(-6*-1*sqrt(425) - sqrt(425) - -5*-1*sqrt(425) - (-2*sqrt(425) + 4 + -5))*-2 + 3)**2. 200*sqrt(17) + 6825 Simplify (((-1*(sqrt(144) - (sqrt(144) - (sqrt(144) + -2*sqrt(144)))) - sqrt(144))*3)/(sqrt(18)/(sqrt(6) - sqrt(750)/sqrt(5))))**2. 0 Simplify 5*(-5 + 4 + (-2*sqrt(1008))**2) - (4 + (4*2*sqrt(70))/sqrt(10))*4. -32*sqrt(7) + 20139 Simplify ((-5*((sqrt(13)*-5 - sqrt(13)) + -2) + 0 - (-3 + (5*sqrt(832) - sqrt(832)) + -4))*2)**2. -272*sqrt(13) + 1364 Simplify -1*(((sqrt(17) + (sqrt(17) + 0 - sqrt(17)) + -4)*2 + -5*sqrt(2057)*-1)*2)**2. -221188 + 3648*sqrt(17) Simplify -4*(-3*(sqrt(4) + (sqrt(4) - sqrt(144)/sqrt(9)) + sqrt(4))*-4)/(sqrt(18)/(sqrt(36)/sqrt(4)) - (sqrt(162) + (3*sqrt(162) - sqrt(162)))). 24*sqrt(2)/13 Simplify -1*((sqrt(275)*2)**2 + sqrt(275) + 2 + 1 + -2*sqrt(275)) + -5 + 1 + (3 + (sqrt(275) - (sqrt(275) + -4*sqrt(275)*1)**2 - sqrt(275)))*2. -6051 + 5*sqrt(11) Simplify (5*sqrt(132)/sqrt(6) - (sqrt(198) + (sqrt(198) - 3*sqrt(198)))/sqrt(9))/((sqrt(96)/sqrt(3) - sqrt(2) - sqrt(2)) + (sqrt(72)/sqrt(3))/sqrt(12)). 2*sqrt(11) Simplify (3*4*(sqrt(192) - sqrt(192)*3)*-3 + (sqrt(192) - sqrt(192)*4*3) + sqrt(192) + (sqrt(192)*-4 - sqrt(192))*-4 + sqrt(192))**2. 1322688 Simplify ((sqrt(84)*-1)/sqrt(12) + (((sqrt(84)*1)/sqrt(12))**2 - sqrt(7)) - 1*((1 + sqrt(112) + sqrt(112))**2 + sqrt(7))) + 2. -440 - 19*sqrt(7) Simplify ((-1*sqrt(84))/sqrt(12) + sqrt(7) + 5 + 4 + (sqrt(42)/sqrt(6)*-5 + 4)*-5)**2. -550*sqrt(7) + 4496 Simplify (-2*(4*(sqrt(363) + (-2 + 1 + sqrt(363) + sqrt(363) - sqrt(363))) + -4*(-2 + sqrt(363))*-5))**2. -108416*sqrt(3) + 1146112 Simplify ((0 + sqrt(12)/sqrt(4) - sqrt(3)) + 2 + -6*(sqrt(3) + 1 - sqrt(3)) + 2 - ((sqrt(36) - (sqrt(900) + sqrt(36)))*-4)/((sqrt(120)*-3)/sqrt(10)))**2. -80*sqrt(3)/3 + 412/3 Simplify -2*(1 + (sqrt(180) - 2*sqrt(180))) - (sqrt(810)*-1)/(sqrt(8)/sqrt(4)*2). -2 + 33*sqrt(5)/2 Simplify (5*sqrt(5)*2 + -5)*3 + (sqrt(60)/sqrt(48) + -4)*-2. -7 + 29*sqrt(5) Simplify -2*(-6*((sqrt(189) + -2*sqrt(189) + sqrt(189))*3 - sqrt(189)))/(sqrt(35)/(-6*sqrt(80)))*5. 4320*sqrt(3) Simplify ((-6*-2*sqrt(136)*-3)/((sqrt(8) - (2*sqrt(72) + sqrt(72) + sqrt(72))/sqrt(9)) + sqrt(800)*-1 + sqrt(800))*5)**2. 61200 Simplify (4*-2*sqrt(17)*1 - (-1 + -3 + sqrt(153)))**2 - (((sqrt(17) + 1)*-2)**2 + (sqrt(833) + 0)**2)*1. -96*sqrt(17) + 1168 Simplify (2*-3*4*3*-3*(0 + sqrt(1584) + sqrt(1584))*5*6*5)**2. 6651279360000 Simplify ((((sqrt(180) + (1*sqrt(180) - sqrt(180)) + sqrt(180))/sqrt(10))/(2*sqrt(900)) - (0 + sqrt(16)/(sqrt(24)/sqrt(3)))*5)*4)**2. 19208/25 Simplify ((1*sqrt(84)*3*-6)/(sqrt(12)*1*5 - sqrt(48)/sqrt(4)*1))**2. 567/4 Simplify (5 + sqrt(304) + 4)**2 - (2 + -2 + sqrt(304) + sqrt(304))**2 - (2 + 3*(1 + sqrt(304) + 2)). -842 + 60*sqrt(19) Simplify 5 + -1 + -4*((-1 + sqrt(448)*1 + 4)*-3)**2. -16448 - 1728*sqrt(7) Simplify ((5*sqrt(7)*-3*-4 - (sqrt(7)*-3 + sqrt(7) + 3)*-1)*-6)**2 + -5. 12528*sqrt(7) + 848047 Simplify -5*((2 + sqrt(80) + sqrt(5) + (sqrt(5) - ((sqrt(25)/sqrt(5))**2 + -4)) - (sqrt(30)/(sqrt(216)/sqrt(4)) + 1)) + -1). -85*sqrt(5)/3 + 5 Simplify ((sqrt(63)*-2*-6 - sqrt(63) - sqrt(441)/(sqrt(7)*6)) + sqrt(378)/(sqrt(726)*6)*-4)**2. 3538647/484 Simplify ((-6*sqrt(76) - sqrt(76))*4*-3)/(sqrt(24)/sqrt(6)*1 - (-3*sqrt(324) - sqrt(324))). 84*sqrt(19)/37 Simplify -2*((5 + -2 + sqrt(117) - sqrt(117))**2 - ((sqrt(117))**2 + -3 + 0 + sqrt(1300)))*-2. -420 - 40*sqrt(13) Simplify ((4*-1*sqrt(9) + (sqrt(9) - (sqrt(9) + sqrt(81)))*-6 + sqrt(9))*1)/(3*sqrt(15)/sqrt(5) + sqrt(3) + (sqrt(300) - (sqrt(300)*3 - sqrt(300)))). -5*sqrt(3)/2 Simplify 4*3*((sqrt(110)/sqrt(2))/sqrt(11))**2*-6 + ((sqrt(720) + sqrt(720) + 1*sqrt(720) + sqrt(720) + sqrt(720) + 3 - sqrt(720)) + -1*(-3 + sqrt(720)))**2. 432*sqrt(5) + 6156 Simplify (2 + ((3 + sqrt(171))*-6 - sqrt(171)) - (sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171)*1*-6)) - ((0 + sqrt(171) - sqrt(171))*4 + sqrt(171))))**2 + 3. 96*sqrt(19) + 430 Simplify 4 + ((6*5*sqrt(85) - sqrt(85)) + sqrt(85))/(sqrt(180)*3 - sqrt(5))*-1. -30*sqrt(17)/17 + 4 Simplify ((1 + 4*(sqrt(588) - (0 + sqrt(588))) + (2*sqrt(588) + 1 + sqrt(588))*5)*3 + 5)**2. 28980*sqrt(3) + 1191229 Simplify (-2 + -3*((1*sqrt(704) - sqrt(704))*3 + ((sqrt(704) - (sqrt(704)*4 - sqrt(704))) + -1)**2 + sqrt(704))*-5)*4. 2400*sqrt(11) + 169012 Simplify -4 + sqrt(108) + 1 + 5 + -2 + -5*((1 + sqrt(108))**2*-4 + sqrt(108))*-6 + -4. -13084 - 1254*sqrt(3) Simplify 1*((-1 + -1*sqrt(1331)*6 - (0 + 3*(sqrt(1331) + 1 - sqrt(1331)))) + 5)**2 + 2. -132*sqrt(11) + 47919 Simplify 1 + (5*((sqrt(605) + (sqrt(605) - (-2 + sqrt(605) + -5)) - sqrt(605)) + sqrt(605) + -2 + sqrt(605) + -2) + 4 + 1)**2. 4400*sqrt(5) + 60901 Simplify (-1 + 0 + sqrt(125) + 1 + -1 + 4*(sqrt(125) + 0) + sqrt(125) + sqrt(125) + -6*(1 + sqrt(125)))**2. -70*sqrt(5) + 174 Simplify (-2*(sqrt(104) + (sqrt(104) - 3*2*sqrt(104)) + sqrt(104) - -2*sqrt(104)*-2)/(-2*-2*sqrt(800)))**2*1 + 3. 1837/400 Simplify 6*((sqrt(190) - sqrt(190)*-2*4 - sqrt(190))/((sqrt(30) + 1*sqrt(30))/sqrt(3)) - ((2 + -1 + sqrt(19))**2 + 3 + 1)). -144 + 12*sqrt(19) Simplify (-5*(sqrt(468)*-1 + sqrt(468) + sqrt(468) - sqrt(468)) + -4 + -3 + -1 + -6*(2 + sqrt(468) + 1) + -2)**2. 2016*sqrt(13) + 17632 Simplify 6*(((6*sqrt(209)*-3 + sqrt(209) + sqrt(209))*-5)/(-4*-3*sqrt(11)*3) + 0). 40*sqrt(19)/3 Simplify 1*(-1 + -1*sqrt(1300))**2 + (0 + (sqrt(104)/(sqrt(4)*-2))/sqrt(2))**2. 20*sqrt(13) + 5217/4 Simplify 4*((2 + sqrt(1539) + 1 + sqrt(1539) - sqrt(1539))*6 + (2*sqrt(2736) - sqrt(133)/(sqr
{ "pile_set_name": "DM Mathematics" }
-0.0632 - -0.032? -0.0312 -1.983+0.755 -1.228 What is the difference between 0.02 and -1.62? 1.64 What is 0.1926 less than -28? -28.1926 Subtract 3.7 from -3.3. -7 Total of 1.1 and -0.719. 0.381 -0.203+0.6284 0.4254 3.5 - -2305 2308.5 Add 219 and 0.192. 219.192 What is the difference between 1090 and -4? 1094 What is 1 - 2161? -2160 Calculate -5 - -0.149. -4.851 Calculate 13419 + -4. 13415 What is the distance between 3.45 and -87? 90.45 Add -360 and 0.02. -359.98 16.41 - 0.3 16.11 What is -0.01 minus 5? -5.01 0.01+-0.11832 -0.10832 What is -9 + -122? -131 Add together 0.1 and 221. 221.1 What is the difference between 314.6 and -0.1? 314.7 Work out -3 - 4513. -4516 What is -5 take away -0.6579? -4.3421 What is -2 less than 49622? 49624 Work out 0.14585 - -4. 4.14585 Calculate -33122 - -8. -33114 Total of 139 and -2200. -2061 What is 14 less than 14.813? 0.813 What is 0.87 + -4072? -4071.13 Put together -0.1 and 3157. 3156.9 Work out 0.11 - 18. -17.89 What is 8 plus -1245? -1237 What is -6 take away 33? -39 What is -298 + 1057? 759 What is 115.7 + 50? 165.7 What is -66475 minus 0.1? -66475.1 133.2 - -62 195.2 What is -0.2 minus 64.3? -64.5 Sum 5 and -134.9. -129.9 What is -0.5 take away -0.2409? -0.2591 Add together -0.2 and -11288. -11288.2 What is -16479 take away -3? -16476 Work out -3.5384 + -1. -4.5384 Total of -11874.2 and 5. -11869.2 -24 - 0.106 -24.106 Total of 29 and -0.035153. 28.964847 What is the difference between 67.44 and -0.5? 67.94 What is -0.028 less than -2? -1.972 Work out -147 + -40723. -40870 What is -0.13 take away 0.011? -0.141 What is -0.406 less than -3? -2.594 What is 9504 take away -5? 9509 What is the distance between 8002 and 8? 7994 What is the difference between -18.532 and 0.04? 18.572 What is the difference between 60.96489 and -4? 64.96489 What is the distance between -1232 and 1.665? 1233.665 What is -1045 less than -4? 1041 Put together -10.55 and -0.4. -10.95 What is 0.27 plus -2678? -2677.73 Sum -988 and -0.322. -988.322 Calculate -8505 + 16. -8489 -0.2+-580 -580.2 What is the difference between -21 and -53? 32 0.9+111 111.9 What is -0.02 - -5.81? 5.79 52 - 162 -110 What is the distance between 0.1 and -15309? 15309.1 Work out 995.82 + 1.8. 997.62 What is -535 minus 6? -541 Put together 2.1 and 10. 12.1 Subtract -0.78762 from -1. -0.21238 What is -3594 - -1? -3593 What is -4 - -0.084? -3.916 Subtract -0.5 from 5.79. 6.29 0.1 - 54.6 -54.5 What is -241.1 + 5? -236.1 Work out 0.0562 + 0.13. 0.1862 Sum -0.02 and 26285.2. 26285.18 What is -0.03 minus 0.106352? -0.136352 1 + 1579.6 1580.6 What is -0.01 + -376? -376.01 Add 539998 and -1.5. 539996.5 What is 107.3 plus 10787? 10894.3 Sum -0.067 and 486. 485.933 What is the distance between -591.67 and -29? 562.67 -0.0531 - 0.16 -0.2131 -4718.3 - 89 -4807.3 0+-0.0068948 -0.0068948 Calculate -1683522 + -4. -1683526 What is 0.3 take away 17.61? -17.31 Total of -0.0589 and -6. -6.0589 What is -23048 + -9? -23057 What is 121.19 - 0.0007? 121.1893 Calculate 14.07 - -48. 62.07 Calculate -722 - 87. -809 Work out 0.71259 + -6.2. -5.48741 Put together 0.7 and 97. 97.7 What is 420 take away 7? 413 What is -43 - 640? -683 What is -0.1 - 146894? -146894.1 Calculate 8189 + 19. 8208 Calculate 0.3852 - 0.3. 0.0852 Total of 79 and 0.0393. 79.0393 What is 0.773 + -5? -4.227 Add together 0.3 and 72. 72.3 Subtract 11 from -480. -491 What is the difference between 8 and 26746? 26738 What is -0.099 less than -4.21? -4.111 What is 36 + 38975? 39011 Add 83 and 2. 85 What is the distance between -0.2 and -8.4185? 8.2185 102.869+0.1 102.969 What is 0.01 + 353? 353.01 What is -20.849 - -1? -19.849 What is the difference between 5.037 and -68? 73.037 Put together 1573.86 and -73. 1500.86 What is 368994.7 + 3? 368997.7 What is 0.1 minus 58.25? -58.15 What is -0.3 less than -1.212? -0.912 What is -2 take away -375? 373 What is 5 + -32.51? -27.51 Calculate 736178 + -4. 736174 Total of -0.7 and 75. 74.3 What is -0.4 plus 881? 880.6 What is -176 take away -16.1? -159.9 Calculate 0 - -1383062. 1383062 What is 317029 less than 3? -317026 Total of 77 and 6523. 6600 Add together -0.14357 and -0.06. -0.20357 Calculate 61 - 818. -757 15154 + 1.8 15155.8 -0.41 - 5.82 -6.23 Add 2 and 998636. 998638 What is -1964143 take away -4? -1964139 Subtract -0.016 from 241.57. 241.586 Total of 2 and -4445. -4443 What is -116.9 + -0.07028? -116.97028 Work out 0.08 + 0.311. 0.391 What is 0.03 less than 1109? 1108.97 What is -2 less than 0.65? 2.65 Total of 0.04 and 33459.3. 33459.34 What is -6 take away 0.095? -6.095 Calculate 0.054 + -2072.6. -2072.546 Sum -24 and -1142. -1166 What is 14 take away -7.07? 21.07 Sum 0.15 and 4333. 4333.15 Work out 0 - -3.2223. 3.2223 What is -148.2 less than 0? 148.2 -36.3 - -1.9 -34.4 Work out -2409 + -0.087. -2409.087 1 + -0.14005 0.85995 Sum -36 and 0.507. -35.493 What is 188 less than 20.677? -167.323 Subtract 0.027 from 14. 13.973 Add together 124 and 0.4. 124.4 Calculate -3 - 437. -440 -2.64951 + -2 -4.64951 What is 2249 take away -0.3? 2249.3 Total of -13 and -0.0498193. -13.0498193 What is the distance between 5 and -48800? 48805 -0.12 - -0.054 -0.066 What is -34.65 - 1? -35.65 Calculate 990382 - -5. 990387 Total of 0.2 and 139. 139.2 Add 2 and -8080. -8078 Calculate 478029 + 0.5. 478029.5 Put together -0.09 and 13.01. 12.92 Add 41 and -0.68914. 40.31086 What is the distance between -0.28 and 0.06921? 0.34921 What is the distance between 0.898 and -85? 85.898 -87.1 - -30 -57.1 Put together 157016 and 0.5. 157016.5 What is -111461 less than -1.7? 111459.3 What is -23 less than 1236.56? 1259.56 3558 + -0.7 3557.3 What is -149 - 1.5? -150.5 What is 53170 plus -0.19? 53169.81 What is 137 plus 5? 142 94+6 100 Subtract 9 from -430.86. -439.86 Total of 1 and -11695. -11694 Calculate -7.272 - -2.3. -4.972 What is -0.4 minus 1.0993? -1.4993 Add together -0.4618 and 1. 0.5382 Add together 0.1887 and -1.9. -1.7113 -1974 - 5 -1979 -828621 - 0.1 -828621.1 Work out 336.8 + 3.7. 340.5 Calculate 5 + 268454. 268459 Work out -1.597 + 0.43. -1.167 Add 262.7 and 2. 264.7 What is -3202 less than 1? 3203 Subtract -336 from -292.2. 43.8 Add 4775 and -2. 4773 Total of -2279 and -11. -2290 What is -5 take away 0.2189? -5.2189 Subtract 20047 from 1.1. -20045.9 -1.44+-8 -9.44 Add together 4 and 108.1. 112.1 -898 - 1 -899 What is -1.0790544 - 3? -4.0790544 What is -0.02 - 0.363? -0.383 Total of -42 and 10.65. -31.35 Sum -0.2 and -82930. -82930.2 What is the difference between -0.0032 and -0.1? 0.0968 Total of 99531 and 0.5. 99531.5 What is 0.10624 plus 46? 46.10624 What is -395206 minus -1.6? -395204.4 5046+-0.14 5045.86 What is -0.5238 - -80? 79.4762 Add together -1.26 and 11. 9.74 What is 3.3711 take away -51? 54.3711 Add together 10648 and -0.01. 10647.99 What is -520.2 + -0.059? -520.259 Work out -59 + 1.62. -57.38 Calculate -0.4 + -446. -446.4 What is 5 + 1004? 1009 Total of 20974 and -0.01. 20973.99 Put together -1552.5 and -51. -1603.5 What is 23010 minus -13? 23023 -0.028+-22.988 -23.016 Work out -142374 + 5. -142369 Work out -1320 - 871. -2191 Sum 12 and 44156. 44168 Total of 1.63 and 275.8. 277.43 What is the distance between 3 and 5592? 5589 Total of -242.7 and 69. -173.7 Subtract -22.1984 from 2. 24.1984 What is -4 - 38.168? -42.168 What is the difference between -934751 and -0.5? 934750.5 What is -3134 minus 5? -3139 What is the distance between 3 and 23.836? 20.836 What is the distance between -258067 and 3? 258070 What is -128.3 plus 26? -102.3 What is the difference between -66.478 and -2? 64.478 Work out 8 + -289. -281 What is -973 take away -0.2? -972.8 What is the difference between -31 and 0.6849? 31.6849 Work out -0.39 + 394. 393.61 What is 4 take away -62.2? 66.2 Work out 8 - 0.3409. 7.6591 Calculate -0.287361 + -15. -15.287361 Put together 1.08 and 1884. 1885.08 What is -17.02 minus 929? -946.02 What is 0.1 - 3.04? -2.94 Total of 1 and -998. -997 Total of -17587 and -0.01. -17587.01 Calculate 0.1 - -278. 278.1 What is -0.4 minus 33.9? -34.3 Work out 6.8 - -66.9. 73.7 Work out 2754 + 715. 3469 Add together 975 and -0.4. 974.6 Calculate -30 - 480. -510 What is the difference between -0.5 and -349? 348.5 What is -486 minus -0.28? -485.72 What is the distance between 1319520 and 1
{ "pile_set_name": "DM Mathematics" }
= -12 + 15. Suppose 5*g = -4*v + d, 3*g - 6*g = -2*v + 7. Solve 4*x - v = y - 0*y, -5*y + 5*x = -5 for y. 2 Let j be ((-1)/2)/(1/(-6)). Let u = j + -1. Let p be (1460/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k. -2 Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b + 8*b for z. -2 Let o be (-58)/2*1 - 2. Let y = -24 - o. Solve -10 = 5*h - 2*n, -2*h + n = h + y for h. -4 Let b(u) = -2*u + 30. Let q be b(14). Suppose 0*t = t - q. Solve 0 = -5*m - v - 20, 6*m + t*v = m - 15 for m. -5 Suppose -195 = -p - 4*p. Let w = p + -31. Solve 2*o = -o - 4*i - 1, 2*i = -w for o. 5 Let f be 10*(36/30)/3. Let x = 5 - 5. Solve -f*g = -x*g + 5*u - 11, 2*g - 13 = 5*u for g. 4 Let g(m) = m**2 - 20*m + 46. Let j be g(18). Solve 3*p - 2*u = 6, -10 = -2*p - 4*u + j for p. 4 Let n(b) be the second derivative of -b**5/20 - 23*b**4/12 + b**3/6 + 27*b**2/2 + 34*b. Let y be n(-23). Solve 4*q - 4*x + 24 = 0, 22 = -5*q + x + y for q. -3 Suppose -5 - 15 = -5*q. Suppose -y - 7 = -5*z, -11 = -28*z + 24*z - y. Solve 3*u - 3 = -3*h, -z*h - q*u + 17 = u for h. -4 Let t(w) = -3*w - 21. Let k be t(-9). Suppose -3 = -3*g + k. Solve 0 = -g*m + 3*z + 24, -5*m + 0*z + 2*z + 31 = 0 for m. 5 Suppose -8*d + 21 = -11. Let a(o) = o + 7. Let b be a(d). Solve -h + 0*w - 10 = -3*w, -5*w = 4*h - b for h. -1 Suppose -4 = -0*g - 2*g + x, -2*g - 3*x + 20 = 0. Suppose 2*t = -1 - 7, -v = -t - g. Suppose v*s - 2*s = -2. Solve 3*a + 19 = -5*z, 3*z = -2*a + 2*z - s for a. 2 Let d be 396/(-110)*10/(-6). Solve 3*u + 2*p + 0 = -d, -3*u + 2*p = -6 for u. 0 Let o(t) = 2*t**2 - 44*t + 149. Let i be o(18). Solve -5*q + 2*r - 8 = -28, r = -i for q. 2 Let a(l) be the first derivative of l**3/3 + 10*l**2 + 40*l + 29. Let i be a(-18). Solve -w + 3 = 2*j - 9, -i*j - 4*w = -32 for j. 4 Suppose 2*o = -13*o + 15. Solve 3*g + k = o, 5*g + 5 = 5*k - 0*k for g. 0 Let p be (-4)/12*(1 + -1). Suppose p = -5*k + k - 24. Let s be -1 + ((-12)/4 - k). Solve 30 = s*f + f - 3*v, f = -3*v - 10 for f. 5 Suppose 0 = -17*i + 15*i + 5*n + 21, 0 = -5*n - 15. Solve -4*t - 4*s + i = -9, t = -3*s + 11 for t. -1 Let g be (6 - 133/21)*-9. Solve -5*d + g*a = -a - 4, 2*d - 2*a = 0 for d. 4 Let b be (26/10)/((-2)/(-10)). Let x = b - 9. Let r = -2 + 4. Solve r = -2*o - 5*j - x, 2*j = -4 for o. 2 Let a = 52 - 48. Solve a*u = -2*q + 16, 2*u - 16 = 3*q - 0*q for u. 5 Suppose 4*z = 20, -2*l + 5*l + z - 14 = 0. Solve 16 + 2 = -4*o + 2*p, -l*o - 3*p = 0 for o. -3 Let m = 401 + -398. Solve -2*b + m*j = 7, 5*b + 10 = -3*j + 8*j for b. 1 Let d = -2 + 4. Suppose -g + d = -0. Solve -3*c + 4*z = -29, -4*c + g*z = -3*c - 13 for c. 3 Suppose -2*n + 5*c = c - 162, 3 = c. Let i = n - 84. Solve 0 = -2*m - 3*y - 11, i*m + y - 2*y = 0 for m. -1 Suppose -3*x + 8 = -7*x. Let k(q) = 5*q + 14. Let s be k(x). Solve 12 = s*g + 3*y - 8, 4*y + 10 = 2*g for g. 5 Let z be 10/35 - (-1)/((-14)/(-38)). Solve -5*g - 2*x + 25 = 3*x, -2*g + z*x = -10 for g. 5 Let s(d) = 7*d - 14. Let j be s(2). Suppose 4*w + 16 = -j*k - 4*k, 2*k = 5*w - 15. Solve -w - 1 = h, -u = -4*h - 4 for u. -4 Let f = -8 - -14. Suppose -37 = 10*w - 67. Solve -f = 3*u - 3*t, -w*t - 1 = u + 3*u for u. -1 Suppose -4*l = w - 14, -4*w - 13 = -5*l - 3*w. Let j be 3/(-18)*l + 54/4. Solve -r - j = -5*c - 0*r, 3*c = -4*r + 17 for c. 3 Suppose 0 = 4*d - 2*r - 42, -2*d - 4*r = -4*d + 36. Let i = 6 + d. Solve 0 = 3*h - 3*f - 9, -2*f + 0*f = 3*h - i for h. 4 Let u be 40/(-25) + 19/(-20)*-8. Solve u = -9*b + 7*b, 5*b + 15 = -4*j for j. 0 Let n(y) = 2*y + 12. Suppose 0*z + 3*z + 24 = 0. Let g be n(z). Let s be 9 - (-6)/g*-2. Solve i - 20 = -3*i, -2*i + s = -2*j for j. -1 Suppose 12*i + 3*t = 11*i + 17, -5*i + 5*t + 5 = 0. Solve i*v - 5*m + 1 - 36 = 0, -m - 1 = v for v. 3 Suppose 5*a = -a - a. Suppose -4*k = -5*x - 6, -3*k + 10 = -x - a*x. Solve k*j = -5*u + 2 - 0, u = -2*j - 2 for u. 2 Let w = -38 + 58. Suppose 5*v - 2*k = 13, 3*v + 2*k - w = -9. Solve 2*p - 3*b - 1 = -6*b, v = 3*b for p. -1 Let p(l) = -l**2 + 29*l - 136. Let x be p(6). Solve 5*u + 2 = -x*m, -4*u = -3*m - 6 + 3 for m. -1 Let c be 2 + (-56)/30 - 146/(-30). Solve 3*o = 5*g + 26, -c*g - 3*o = -2*o + 18 for g. -4 Let g(o) = -o. Let p be g(-4). Let z be p/(-5)*(-70)/4. Let w = 20 - z. Solve -n = 3, -m + w = -0*n - 3*n for m. -3 Let y(b) = b**3 + 5*b**2 + 7*b + 50. Let d be y(-5). Solve 17 = 2*z + 3*k, -4*z - 3*k + 4 = -d for z. 1 Let t(l) = -l**3 + 15*l**2 + 15*l + 23. Let m be (16/12)/((-1)/(-12)). Let w be t(m). Let y be (4/10)/(w/70). Solve -4*q + a + y = 0, q - 3*q + 4*a = -16 for q. 0 Let f be (-3)/(-81) - (-4960)/1674. Suppose 2*x = 5*g + 10, 2*g = -0*g - 4*x + 20. Solve q - f*h + 18 = 4*q, -2*h + 8 = g for q. 2 Let o be (-4)/2*-4*2 + 0. Suppose -t + 0*a - a + 6 = 0, -3*a = 2*t - o. Solve 4*z - 2 = 5*b, -t*b + 0 = -4*z - 4 for b. -2 Suppose 0 = -11*k - 125 - 469. Suppose 447 = 5*j + 4*c, 0*j + 176 = 2*j + 3*c. Let x = j + k. Solve -5*o = 3*z - x, -2*z = 2*z - 5*o + 9 for z. 4 Suppose -4 + 10 = 3*s. Solve -2*p + 2 = 2*u, p + 3*u - 3 + s = 0 for p. 1 Suppose -4*g = -9*g + 90. Let v = g + -18. Suppose 0*f + 5*f - 80 = v. Solve -4*q + 3*q = -s + 7, -s = -4*q - f for s. 4 Let s be (24/18)/((-4)/(-6)) - -1. Solve 4*p + 0*k = -k - 8, 0 = -p + k + s for p. -1 Let s(k) = -k**2 - 13*k - 35. Let h(g) = -4*g**2 - 8*g - 9. Let p be h(-2). Let y be s(p). Solve 2*n + 19 = -3*r, -n + r - 3 = -y for n. -5 Let g(q) = -2*q. Let w(x) = -x**2 - x. Let i be w(-2). Let k be g(i). Solve -k*z + 5*n = -19, 3*z + 0*n = -4*n - 9 for z. 1 Let f = 177 - 174. Solve -5*x + 8*g - 5 = 3*g, 0 = -x + 5*g + f for x. -2 Let f(o) = -o**2 + 10*o - 1. Let r be f(7). Let g = 27 - r. Solve 4*n - 4*u = -12, -2*n - 2*u = 3 + g for n. -4 Suppose -5*m - 4*l = -105, 2*m + 3*l = l + 42. Solve 6*k - m = -5*f + 3*k, 0 = 5*f - k - 13 for f. 3 Let c = 35 - 43. Let p be ((54/15)/3)/(c/(-20)). Solve -z - 4*y + 15 = 0, y + 12 = p*z + 2*y for z. 3 Let q be 1 + (28/(-7) - (-1 + -2)). Solve u + q*o = o + 3, -2*u + 5*o = -6 for u. 3 Suppose -15*k = -213 + 33. Solve 3*g = -4*s + 8 + k, s - 5 = -5*g for g. 0 Let c be (-8)/36 + ((-94)/(-18))/1. Suppose 3*y = -c*g + 25, 0 = -2*g - 2*y + 3 + 11. Solve 0 = 2*z + 2*z - g*u - 4, -u = 2*z - 2 for z. 1 Let b = 548 - 543. Let m = 10 + -5. Solve b*n - 35 = 5*k, 2*k + 3*n - 2*n = -m for k. -4 Let p = -5 - -3. Let y be (-2)/(-4) - p/(-4). Suppose 21*d = 13*d + 40. Solve d*w - 3*u + 2 - 8 = y, 4*w - 3*u - 6 = 0 for w. 0 Let q(t) = 23 + 3*t - 5*t - 9 + 3*t. Let u be q(-8). Solve -4*w - 2*z = u, 3*z = 3*w - 0*w for w. -1 Suppose -2*p - 29 = -5*c - 89, 0 = -c + 5*p + 11. Let s be (-2 - -5) + 7/(c/(-4)). Solve 0*t - 20 = s*t, 2*o + t + 2 = 0 for o. 1 Let y(w) = -w**3 - 9*w**2 - 14*w + 6. Let j be y(-7). Solve -5*b - 4*q = -j, 2*q + 3*q - 10 = -5*b for b. -2 Suppose 2*z + 24 = -0*z. Let u be (z/(-36))/((-1)/(-9)). Solve u*l + a + 3*a = 27, 3*l - a = 12 for l. 5 Let r(l) = -l**3 + 7*l**2 - 10*l + 26. Let w be r(6). Suppose 0 = -w*p - 5*p + 140. Solve -d - 3*d + p = -5*k, k - d = -4 for k. -4 Let z = -4 - -4. Solve -5*n - a - 12 = z, -n + 15 = -4*n + 2*a for n. -3 Suppose r = 5*p + 23, p = 3*r + 5*p + 7. Let w be r*14/6 + -2. Solve -l - 2 = 0, w*l - 4*l = -4*s - 22 for s. -5 Let r = 41 - 19. Let j(h) = -28*h + 47. Let o be j(-4). Let c = o - 154. Solve -2*l = 3*m + r, c*l - 7 + 32 = 0 for m. -4 Let o(k) = -4*k + 1. Let x be o(-3). Solve -9 = 4*r - r, 3*r + x = l for l. 4 Let n be 10/(-65) - 10/(-65). Solve 4*c + 2*u = -20, -c + 5*c - 5*u + 6 = n for c. -4 Let y = -34 - -46. Let o be 3/y + 417/12. Let m be (-7)/o + (-11)/(-5). Solve -u - 24 = 3*x + m*u, -5*u = 15 for x. -5 Let v be -1*((-4)/1)/2 - -1. Solve -24 = -5*g + 4*z, v*g + 0*g = z + 13 for g. 4 Suppose 15*n = 11*n + 12. Solve -5*b + b = 4, -n*m - 5 = -b for m. -2 Let z(k) = k**3 - 9*k**2 + 3. Let p be z(9). Solve -g - b = -p, b - 2 = -3 for g. 4 Let w be (3/(-6))/(2/(-12)). Suppose -4*d = -n + 15 + 1, -d - w = 0. Solve -3*y - 2 = 3*v + 1, 5*v = 4*y + n for v. 0 Let b be -2*((-987)/294 - (-6)/7). Solve -2*o - o = -5*w + 35, b*o = -5*w - 5 for w. 4 Let b = 92 + 2. Let c be -1 - b/(-18) - 56/252. Let x be (-1)/2 + 87/6. Solve -y = 7*h - 3*h - 1, -2*h + x = -c*y for y. -3 Suppose -4*a - 20 = -14*a. Solve x + 5*v - 3 = a, -2*v + 25 = 5*x for x. 5 Suppose 0 = 3*s - 2*s + 4*i
{ "pile_set_name": "DM Mathematics" }
tors of 65 + (-3 - b)*v? 2, 17 Let r = -6 + 12. Let j = -3 - r. List the prime factors of ((-4)/3)/1*j. 2, 3 Let i(k) = -k**3 - 6*k**2 + k + 9. Suppose -6*l = -6 + 42. What are the prime factors of i(l)? 3 Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j. 29, 47 Let f = 154 + -88. Let u be f/9*12/(-8). List the prime factors of -3 - ((1 - -2) + u). 5 Suppose -3*r + 2*c = -2*c + 14, -c + 15 = 5*r. Suppose -d - z - r*z + 3 = 0, d + 5*z = 3. What are the prime factors of 19 - ((-3)/d - -4)? 2 Let t be 6/((16/684)/2). Suppose t = -d + 10*d. What are the prime factors of d? 3, 19 Suppose d + 120 = 43. Let j = -34 - d. What are the prime factors of j? 43 Let o be (5/((-140)/(-8)))/(2/14). Suppose 0 = 5*m - o*m - 390. What are the prime factors of m? 2, 5, 13 Suppose -z + 4*v = z - 62, -5*v = -z + 16. Suppose 6 = -2*q, -170 = -3*h - 3*q - z. What are the prime factors of h? 2, 23 List the prime factors of 29926/12 + (1 - (-10)/(-12)). 2, 29, 43 Suppose -284 = -3*q + 97. Let o = q + -81. List the prime factors of o. 2, 23 Let q(o) be the first derivative of 29*o**3/3 + o**2/2 + o + 9. List the prime factors of q(-1). 29 Suppose -3*g = 2*l + 6, -3 = l - 0*g - 2*g. Let h(k) = k**3 + 4*k**2 + 2*k + 1. Let o be h(l). Let p = o + 57. List the prime factors of p. 61 Suppose 0 = 3*r + 3*t - 3111, 18*r = 17*r - 2*t + 1035. What are the prime factors of r? 1039 Suppose -1624 - 58 = -2*k. List the prime factors of k. 29 Let p be -2 + 3 + (-194)/(-1). Suppose 0 = -w + 4*w - p. What are the prime factors of w? 5, 13 Let v = -4 + 6. Let m be (v/(-6))/(3/(-36)). Suppose -w = -m*w + 93. List the prime factors of w. 31 Let f be 58/(-12) - 7/42. What are the prime factors of (-6)/(-15) - 493/f? 3, 11 What are the prime factors of ((-396)/30)/((-21)/1610)? 2, 11, 23 List the prime factors of (-20)/(-50) + 2536/10. 2, 127 Suppose 8*t - 6*t = 0. Let x(c) = c**3 - c + 110. Let s be x(t). Suppose 9*b = 4*b + s. What are the prime factors of b? 2, 11 Suppose -522 = 22*o - 46392. What are the prime factors of o? 3, 5, 139 Let i = -57 + 63. Suppose -2*u + 3*k + 108 = -15, 3*u - 207 = -3*k. What are the prime factors of i/(-3 - u/(-20))? 2, 5 Let b be (-3)/(-36)*141*4. Let r = -28 + b. Suppose 0 = -21*c + r*c + 6. List the prime factors of c. 3 Let b = 118 - 113. Suppose 0 = b*z - h - 1000, z + 4*h - 179 = -0*z. What are the prime factors of z? 199 Let j = -66 - -75. List the prime factors of j. 3 Let z be 14 - -99 - (-1 + -2). Suppose -5*m = -m - 2*h - 464, z = m - 3*h. Suppose 0 = 5*v - m - 119. List the prime factors of v. 47 Suppose -5*w - 4*i = -6535, -36*w + 3*i - 1307 = -37*w. List the prime factors of w. 1307 Suppose -5*n + 524 = -g, -2*g + 732 = 5*n + 205. List the prime factors of n. 3, 5, 7 Let d(w) = -w + 2. Suppose 3*a - 8*a - 15 = 0. Let o be d(a). Suppose -3*v + 96 = 4*h + v, -2*h + 63 = o*v. List the prime factors of h. 19 Suppose -5*z + 11 + 9 = 0. Let y = 0 + 0. Suppose 2*o + z - 10 = y. What are the prime factors of o? 3 Let o(p) = -29*p - 12. Suppose 4*d - 6*t + 20 = -t, 4*d - 4*t + 24 = 0. What are the prime factors of o(d)? 2, 139 Let q(g) = 10*g + 5. Let t(i) = 10*i + 4. Let v(k) = 2*q(k) - 3*t(k). What are the prime factors of v(-6)? 2, 29 Suppose 0*x = -3*x - t + 729, 4*t = -3*x + 729. What are the prime factors of x? 3 Let p = -66 - -152. Suppose 2*b - 38 = 2*f + 50, 0 = 2*b - 4*f - p. What are the prime factors of b? 3, 5 Suppose 65*k - 64*k = 2. Let t(z) = 17*z - 5. What are the prime factors of t(k)? 29 Let z(s) = 50*s**2 - s + 15. Let r be z(-7). What are the prime factors of 2/(-11) - r/(-44)? 2, 7 Suppose 21*f + 3136 - 38605 = 0. What are the prime factors of f? 3, 563 Let m = 290 - 72. What are the prime factors of m/4*(-4)/(-2)? 109 Suppose 2*q - 14 = -4*r, 3*r - 3 = 3. Let n be 80 + q/(9/6). Suppose 2*j = 8 + n. List the prime factors of j. 3, 5 Let x(a) = -a - 1. Suppose -o - 10 = -2. Let w be x(o). Suppose -2*t = -w - 57. List the prime factors of t. 2 Suppose 63*f - 65*f = -4. Suppose -m + 5*m + 2*g - 40 = 0, 3*m + f*g - 30 = 0. What are the prime factors of m? 2, 5 Let w be -2*-6*(-3)/(-12). Suppose 0*o + 5*o + 300 = 0. Let p = w - o. What are the prime factors of p? 3, 7 Let t = 853 + -499. List the prime factors of t. 2, 3, 59 Let y(s) = -264*s - 165. List the prime factors of y(-8). 3, 11, 59 Let t(b) = -92*b**3 - 2*b**2 + 16*b + 36. What are the prime factors of t(-2)? 2, 3, 61 Let w(r) be the second derivative of -r**6/360 - r**5/8 - r**4/6 - 12*r. Let q(n) be the third derivative of w(n). List the prime factors of q(-14). 13 Suppose -5*n = -3*t + 5*t, -4*n = -2*t. Suppose 3*g + 0*x = 4*x + 92, 3*x + 6 = t. What are the prime factors of g? 2, 7 Suppose -12*h + 1194 = -10*h. List the prime factors of h. 3, 199 Let s = 6535 + -4546. List the prime factors of s. 3, 13, 17 Let d(h) = -11 + 4*h**2 + 12 - h - 3*h**2. Let a(t) = t**3 - 7*t**2 + 9*t + 5. Let c(n) = -a(n) + 5*d(n). List the prime factors of c(10). 2, 3, 5 Let q = 66 - 54. Suppose 1312 = -4*w + q*w. List the prime factors of w. 2, 41 Let q(f) be the second derivative of f**5/20 - 2*f**4/3 - f**3 - 5*f**2 - 9*f. List the prime factors of q(9). 17 Let q = 2218 - 1331. What are the prime factors of q? 887 Let n be (11 + -9)/(2*-1). Let r be (-232 + n)/(-5 + 4). Suppose 0 = -5*c - 25, 4*j - 2*c - r + 79 = 0. List the prime factors of j. 2, 3 Suppose 0*n = 2*n + 42. Let r = n + 40. What are the prime factors of (0 - 0)/(-3) + r? 19 Let p be (-1 + 0/(-1))*7. Let v(c) = c**2 + 2*c + 7. What are the prime factors of v(p)? 2, 3, 7 Let k be -1 - (4 + (-8)/1). Suppose -2*o = 6*y - 3*y - 15, 3*y = k*o. Suppose -2*p = -y*w + 139, 2*w - 70 - 32 = -p. What are the prime factors of w? 7 Let s = 1021 - 690. List the prime factors of s. 331 Let n(m) = 96*m - 8. What are the prime factors of n(1)? 2, 11 Let j be (-1)/(-3) + (-56)/42. Let k = 16 + j. Let d = k + -11. List the prime factors of d. 2 Let j(n) = 2*n - 15*n**2 + 9 + n**3 - 4*n - 5*n - 7*n. What are the prime factors of j(16)? 41 Let n(x) = 2*x - 11. Let o be n(-8). Let d = -5 - o. What are the prime factors of d? 2, 11 Let h = 32 + -36. Let o(a) = -18*a - 14. List the prime factors of o(h). 2, 29 Suppose 0 = 2*j + 4*y - 1148, -8*j + 3*y = -12*j + 2301. What are the prime factors of j? 2, 3 Let u be -2*(-1)/(-2) + -1. Let m be (8/14)/(u/(-7)). Suppose -4*t + m*t + 36 = 0. What are the prime factors of t? 2, 3 Let x(a) = 60*a - 4. Let n be x(2). Let s = n - 66. What are the prime factors of s? 2, 5 Suppose 0 = 2*z + 2*b - 4280, z - 7*b + 4*b = 2132. List the prime factors of z. 2, 1069 Suppose 5*b - 5 - 10 = d, 3 = 2*b - d. Suppose 3*h - b*n = 219, -6 - 9 = -5*n. Suppose -h = -m - 3. What are the prime factors of m? 2, 37 Let f(o) = -o - 2. Let s be f(4). Let w be ((-8)/s)/((-4)/6). What are the prime factors of (w + 31)*(-1)/(-1)? 29 Suppose 18*q - 9009 = 12375. List the prime factors of q. 2, 3, 11 Let m = -47 - -55. Suppose m*o = 4*o + 176. What are the prime factors of o? 2, 11 Suppose -2272 - 274 = -2*p. List the prime factors of p. 19, 67 Let p(i) = 35*i**2 + i + 2. Let n be p(3). Let h = -220 + n. List the prime factors of h. 2, 5 Let t = 10249 - 5487. What are the prime factors of t? 2, 2381 Suppose 35 = 2*w + 9. Let k(h) = -h**3 + 12*h**2 + 13*h + 24. List the prime factors of k(w). 2, 3 What are the prime factors of ((-40)/24)/(-5) - (-1064)/3? 5, 71 Suppose -5*b + 37 + 38 = 0. Suppose w - b = 33. List the prime factors of w. 2, 3 Suppose -2*f = -7*f - 395. Suppose -59*b + 51*b = -1048. Let p = b + f. List the prime factors of p. 2, 13 Suppose -4*o = o - 520. Suppose -3*f = x - 0*x - o, 3*f = -15. List the prime factors of x. 7, 17 Let b(d) = d**2 + 4. Let a be b(0). Suppose -a*f = -4*z + 256, -2*z = -3*z - 5*f + 88. List the prime factors of z. 2, 17 Let b = -14 + 20. Let d(v) = 9*v + 11. What are the prime factors of d(b)? 5, 13 Let n(o) = -o - 10 - 1 + 2. Let f be n(-4). What are the prime factors of (160/(-3))/f*3? 2 Suppose -689 = -4*f - 5*w, -f - 9*w + 191 = -4*w. What are the prime factors of f? 2, 83 Let n(j) = 174*j**2 + 21*j - 47. List the prime factors of n(4). 7, 13, 31 Let f(l) = -13*l - 2. Suppose -3*w = 15, -2*a - 2*w - 25 = 3*a. Let i be 1 + a - (-1 + 1). List the prime factors
{ "pile_set_name": "DM Mathematics" }
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s? -2, 2 Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l). -3*(l - 1)**3*(l + 7)**2 Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s). 5*(s + 11)*(4*s + 1) Let b be ((-981 - -990) + 79/(-9))*3. Factor -6*r + b*r**3 - 34/9*r**2 - 14/9. 2*(r - 7)*(r + 1)*(3*r + 1)/9 Factor 41/4*a**3 + 49/4*a - 1 - 43/2*a**2. (a - 1)**2*(41*a - 4)/4 Let p(r) be the third derivative of -1/12*r**5 + 1/12*r**4 + 1/30*r**6 + 0*r + 29*r**2 - 1/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0. 0, 1, 2 Let a(h) be the second derivative of -h**5/4 + 80*h**4/3 + 325*h**3/6 + 2*h + 214. Factor a(n). -5*n*(n - 65)*(n + 1) Let b(f) be the third derivative of f**6/120 - 17*f**5/60 - f**4/24 + 17*f**3/6 + 11*f**2 + 10. What is u in b(u) = 0? -1, 1, 17 Let v(j) be the third derivative of j**7/210 + j**6/45 - 23*j**3/3 + 4*j**2 + 2*j. Let a(g) be the first derivative of v(g). Factor a(z). 4*z**2*(z + 2) Let q = 332 + -471. Let w be (q/(-45) - 3)/((-48)/(-72)). Suppose -4/15*v - 2/15*v**4 + 4/15*v**3 + w*v**2 + 0 = 0. Calculate v. -1, 0, 1, 2 Let g(h) be the third derivative of -h**7/420 + h**6/180 - h**5/360 - 1657*h**2. What is o in g(o) = 0? 0, 1/3, 1 Let q(m) be the third derivative of 0*m**3 + 1/6*m**4 + 0 + 48*m**2 - 3/10*m**5 + 4/105*m**7 + 0*m + 1/20*m**6. Find h, given that q(h) = 0. -2, 0, 1/4, 1 Factor 126/5*n**2 + 246/5 - 371/5*n - 1/5*n**3. -(n - 123)*(n - 2)*(n - 1)/5 Let x(q) be the second derivative of -3/20*q**5 - 212*q + 8*q**3 + 13/4*q**4 + 0 - 42*q**2. Let x(j) = 0. What is j? -2, 1, 14 Let f(q) be the third derivative of 4/105*q**7 + 0*q**3 + 0*q**4 + 1/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1/168*q**8 + 0. Factor f(y). 2*y**3*(y + 2)**2 Let k(r) be the first derivative of -54 + 1/2*r**2 + 2/3*r + 1/9*r**3. What is s in k(s) = 0? -2, -1 Let l(q) be the second derivative of q**4/72 + 145*q**3/18 + 286*q**2/3 + 5449*q. Suppose l(t) = 0. Calculate t. -286, -4 Let c(g) be the second derivative of -243/2*g**2 + 0 + 67*g + 9*g**3 - 1/4*g**4. Factor c(h). -3*(h - 9)**2 Determine a so that 25921/9 + 320/9*a**3 + 8426/3*a**2 - 51520/9*a + 1/9*a**4 = 0. -161, 1 Let h = 1155 - 824. Determine i so that 331*i**2 + h*i**2 - 2 - 660*i**2 - 2*i + 2*i**3 = 0. -1, 1 Let d = -13626 - -13629. Let i(z) be the third derivative of -1/40*z**6 + 29*z**2 + 0 + 0*z + 5/24*z**4 - z**d + 2/15*z**5. Solve i(k) = 0. -1, 2/3, 3 Determine p, given that -28/9*p**2 + 2*p + 2/9*p**3 + 72 = 0. -4, 9 Suppose 30 = 7*d - 54. Let 109*i**4 + 79*i - 5 + 244*i**3 + 102*i**2 - d*i**5 - 6 - 111*i = 0. Calculate i. -1, -1/4, 1/3, 11 Let n(u) be the first derivative of 88 + 49/5*u**2 - 2401/5*u - 1/15*u**3. Let n(w) = 0. What is w? 49 Let q(x) be the second derivative of x**5/40 + 7*x**4/12 + 4*x**3 + x + 3191. Factor q(a). a*(a + 6)*(a + 8)/2 Let b(i) = 32*i**4 + 257*i**3 - 743*i**2 - 626*i - 7. Let g(m) = -10*m**4 - 86*m**3 + 248*m**2 + 208*m + 2. Let n(f) = 2*b(f) + 7*g(f). Let n(q) = 0. What is q? -17, -2/3, 0, 3 Suppose -100*x - 32046*x**3 + 198*x**2 - 2*x**4 + 64013*x**3 - 32063*x**3 = 0. Calculate x. -50, 0, 1 Let t(a) = -168*a**2 - 5380*a - 126. Let n be t(-32). Let -1/4*l**n + 7/4*l + 15/2 = 0. Calculate l. -3, 10 Let l(h) be the second derivative of -1/50*h**5 + 3/10*h**4 + 0 - 129*h + 2/3*h**3 + 0*h**2. Let l(k) = 0. Calculate k. -1, 0, 10 Factor -2824/5 - 2/5*b**2 + 2826/5*b. -2*(b - 1412)*(b - 1)/5 Let s(m) be the third derivative of 0 + 0*m + 0*m**4 + 33*m**2 - 1/360*m**6 + 0*m**3 - 1/9*m**5. Factor s(z). -z**2*(z + 20)/3 Let o(a) be the second derivative of a**6/210 + 13*a**5/70 - 19*a**4/28 - 13*a**3/21 + 4*a**2 + 150*a + 2. Find t, given that o(t) = 0. -28, -1, 1, 2 Let x(v) be the third derivative of -v**7/210 + 17*v**6/60 - 29*v**5/12 + 687*v**2 - 4. Factor x(h). -h**2*(h - 29)*(h - 5) Let c(w) be the first derivative of 2*w**3/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0. -64, 3 Let y = -24 - -52. Suppose r + 10 + 7 = 4*s, y = s - 5*r. Factor -365 - 670*b**2 - 27*b**4 - 33*b**4 + 91*b**3 - 376*b**s + 5 - 5*b**5 - 780*b. -5*(b + 2)**3*(b + 3)**2 Solve -9*n**3 - 31*n**3 + 100*n**2 - 945*n**4 + 940*n**4 = 0. -10, 0, 2 Let t(w) = -101*w**2 - 527*w - 100. Let q be t(-5). Let a = 445/2 - 216. Let a*p**3 - p**2 + 0*p + 0 - q*p**4 + 9/2*p**5 = 0. What is p? 0, 2/9, 1 Let m = 332 - 332. Let y(t) be the second derivative of -1/22*t**4 + 0 + 4/11*t**2 + 16*t + m*t**3 - 1/110*t**5. Suppose y(s) = 0. What is s? -2, 1 Let a(q) be the first derivative of 5/3*q**3 - 25/2*q**2 + 30*q - 31. Suppose a(m) = 0. Calculate m. 2, 3 Let p be 22372/(-3290) + (-112)/(-15). Factor 14/3*k**4 + 0*k + 10/3*k**2 - 22/3*k**3 + 0 - p*k**5. -2*k**2*(k - 5)*(k - 1)**2/3 Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750/9 - m. Factor 8/9 + 22/9*z**2 - u*z + 8/9*z**3. 2*(z - 1)*(z + 4)*(4*z - 1)/9 Factor -8/11*p + 2/11*p**3 + 0 + 0*p**2. 2*p*(p - 2)*(p + 2)/11 Factor 226/11*b - 224/11 - 2/11*b**2. -2*(b - 112)*(b - 1)/11 Solve 14*g**3 + 30*g**2 - 35*g - 5*g**5 + 26*g**3 + 375 - 405 = 0. -2, -1, 1, 3 Suppose -3*d + 5*a + 43 = 0, 3*d - 2 = -4*a - 4. Suppose 0 = -d*h + 41 - 17. Find w, given that -2*w + 8*w - h*w - 2*w**3 - 8 + 8*w**2 = 0. -1, 1, 4 Factor 1/2*y**2 + 1605/2*y + 0. y*(y + 1605)/2 Suppose 79*q - 26 = -5*v + 77*q, 3*q - 18 = 3*v. Let 34/3*i - 8/9*i**v + 26/9 = 0. Calculate i. -1/4, 13 Let t = -6035 + 6038. Let n(b) be the third derivative of -2/27*b**t - 13*b**2 + 1/180*b**6 + 0*b + 2/135*b**5 + 0 - 1/108*b**4. Suppose n(u) = 0. What is u? -1, 2/3 Let d = -267306 + 267306. Factor -3/7*r**3 - 3/7*r**4 + 0 + 6/7*r**2 + d*r. -3*r**2*(r - 1)*(r + 2)/7 Let c(p) be the third derivative of p**8/36 + 68*p**7/315 + 47*p**6/90 + 4*p**5/9 - p**2 + 73*p - 3. Suppose c(o) = 0. Calculate o. -20/7, -1, 0 Let w(u) be the first derivative of 121*u**6/720 + 11*u**5/20 + 3*u**4/4 - 19*u**3 + 24. Let h(b) be the third derivative of w(b). Factor h(n). (11*n + 6)**2/2 Let s(a) be the third derivative of 5 + 0*a - 31/156*a**4 + 7/390*a**5 + 4/13*a**3 + 2*a**2. Suppose s(g) = 0. Calculate g. 3/7, 4 Let j = 516 - 514. Let h be (4/12)/(j/12). Solve 26/5*r**h - 12/5 + 18/5*r**4 + 34/5*r - 66/5*r**3 = 0. -2/3, 1/3, 1, 3 Factor -638991*s**2 - 550 - 55*s**3 + 53*s**3 + 638917*s**2 - 622*s. -2*(s + 1)*(s + 11)*(s + 25) Let l(x) = x**3 + 5. Let d(r) = 165*r**3 + 1066*r**2 + 316*r + 4. Let k(q) = -3*d(q) - 12*l(q). Suppose k(z) = 0. Calculate z. -6, -2/13 Let b(h) = 445*h + 133945. Let f be b(-301). Factor f - 26/17*g + 2/17*g**2. 2*g*(g - 13)/17 Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0. -2, 2 Let u = -7 - -10. Suppose 5*h - 10*f = -5*f + 15, -5*h - 5*f = -5. Factor -u*b**2 - h*b**2 - 45 - 8*b + 4*b + 34*b. -5*(b - 3)**2 Factor -274/3*s - 184 + 1/3*s**2. (s - 276)*(s + 2)/3 Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u). 2*u*(u - 1)*(u + 7) Let j(y) be the second derivative of y**4/3 + 668*y**3/3 + 1328*y**2 + 4140*y. Let j(v) = 0. Calculate v. -332, -2 Let w(k) be the first derivative of -k**4/4 + 199*k**3/4 - 11025*k**2/4 - 16875*k/4 - 1649. Factor w(m). -(m - 75)**2*(4*m + 3)/4 Solve 1/4*j**3 + 12 + 10*j + 11/4*j**2 = 0 for j. -4, -3 Let x(b) = 1543*b - 1585*b - 3*b**2 + 59 - 204. Let l(j) be the first derivative of -j + 4. Let p(f) = -2*l(f) - x(f). What is y in p(y) = 0? -7 Let k = 81256 - 568774/7. Suppose -k - 12/7*n**2 + 75/7*n = 0. Calculate n. 1/4, 6 Factor -22*f - 18*f - 2*f - 72 + 64*f + 8*f - 3*f**2. -3*(f - 6)*(f - 4) Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1/2*z**2 + 8*z = 0? 8 Let o(i) be the second derivative of i**4/24 + 10*i**3/3 + 351*i**2/4 + 14142*i. What is w in o(w) = 0? -27, -13 Let w(g) = 2*g**5 + 7*g**4 - 9*g**3 - 19*g**2 - 3*g + 7. Let o(l) = -l**4 - l**3 + l**2 - l - 1. Let k(v) = -10*o(v) + 2*w(v). Let k(f) = 0. Calculate f. -6, -1, 1 Let s be (2/4)/((-149)/(-1490)). Let g(z) be the second derivative of 1/110*z**s + 0 + 1/11*z**4 + 4/11*z**3 + 8/11*z**2 + 4*z. Factor
{ "pile_set_name": "DM Mathematics" }
5*n + 4. Let r be a(5). What is the highest common factor of 44 and r? 4 Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p? 10 Suppose 0 = 3*f + 11 - 2. Let s be 14/(-1)*9/(-6). Let k = s + f. Calculate the highest common factor of k and 27. 9 Let g(x) = -3*x - 2. Let n be g(-3). Let h be (-2)/n - (-8)/28. Let w be h - -16 - 0/(-1). Calculate the highest common divisor of w and 4. 4 Let f(o) = 27*o**2 + 2. Let n be f(2). Calculate the greatest common factor of 10 and n. 10 Let y(t) = t**2 + t - 5. Let i be 0 + 1 - 2 - -5. Let z be y(i). Let k = 30 - z. Calculate the highest common divisor of k and 6. 3 Suppose -4*o + 12 = -0*o. Suppose -15 = o*c, c - 2*c = -4*j + 113. Let h be (1/(-1))/((-1)/9). Calculate the highest common divisor of j and h. 9 Suppose 3*a + 114 - 309 = 0. What is the highest common factor of 26 and a? 13 Let g(y) = 2*y**2 + 9*y + 10. Let q be g(-6). Suppose 13 = -3*z + 34. Calculate the highest common factor of q and z. 7 Let c = 51 + 66. Let y = -34 + 23. Let i = y - -24. Calculate the greatest common factor of c and i. 13 Let o = 62 - 38. What is the greatest common divisor of o and 12? 12 Let h(i) = i**3 - 4*i**2 + 4*i + 4. Let u be 10/2 - (0 + 1). Let v be h(u). Let c = v - 8. What is the highest common divisor of 96 and c? 12 Suppose -4*p + 334 = -2*d + 76, -3*p + 188 = 4*d. Let v = -36 + 52. Calculate the highest common factor of v and p. 16 Suppose 103 = 2*t - 167. What is the greatest common divisor of 27 and t? 27 Let f be (-24)/10 + (-2)/(-5). Let p be -17*(1 + f)*1. What is the greatest common divisor of 170 and p? 17 Suppose -30*l + 231 = -129. Suppose -p + 2*w = -8, 14 = -p + 2*p + w. What is the greatest common factor of p and l? 12 Let m be (42/(-8))/(-7) - 61/(-4). Calculate the highest common divisor of 40 and m. 8 Let a be 5*(-2)/(-4)*2. Let w be (-3)/(-15) + 114/a. What is the greatest common factor of w and 230? 23 Let r(n) be the second derivative of -n**4/12 - 7*n**3/6 + n**2/2 - 2*n. Let k be r(-6). Calculate the highest common divisor of 56 and k. 7 Let g = -62 + 82. Calculate the greatest common factor of 220 and g. 20 Let y be (-8)/(-1 + 0 + 0). Let n = 2 - 6. Let c(a) = 4*a**2 - 2*a. Let g be c(n). What is the highest common divisor of y and g? 8 Let h(p) = 2*p**2 - 16*p - 15. Let z be h(13). Let o = -33 - -56. What is the greatest common factor of z and o? 23 Suppose -375 = -10*f + 225. What is the highest common divisor of f and 420? 60 Suppose -4*w + 396 = -2*v, -2*w - 4*v + 108 = -w. Let p = -2 - -5. Suppose 3*q = p*k - 69, 3*q = -5*k + q + 94. What is the highest common divisor of w and k? 20 Suppose -2*g + 60 = g. Suppose -2*k + k = -g. Calculate the highest common divisor of 220 and k. 20 Let f = 186 - 87. Let t be 3/9*78/2. Let l = t + -4. What is the highest common factor of f and l? 9 Let h(u) = u**2 - 9*u + 9. Suppose 0*m - 3*m = -27. Let v be h(m). What is the greatest common factor of v and 72? 9 Let y = -741 + 1473. Suppose 5*n - 279 = -2*a - 0*a, 0 = 5*a + n - y. Let c be ((-4)/6)/((-2)/a). Calculate the greatest common divisor of c and 7. 7 Suppose 4 = 3*q - s - 3, 5 = -5*s. Suppose 2*r - q - 2 = 0. Suppose -r = -v + 4. Calculate the greatest common divisor of 12 and v. 6 Suppose 0 = -2*v + 125 - 39. Suppose a = -j + 2 + 8, 4*a + 3*j - v = 0. What is the greatest common divisor of a and 13? 13 Let b be (9/15)/((-2)/(-10)). Suppose 2*k = -4*j, -4*j = -2*k - b*j + 10. Let s be 23/2 - 6/k. Calculate the highest common factor of s and 20. 10 Suppose 3*s = g - 5*g + 115, -s - 45 = -2*g. Let l(j) = -3*j - 3. Let q be l(4). Let a be (q/2)/(3/(-4)). Calculate the highest common divisor of g and a. 5 Let v(u) = 19*u**3 - 2*u**2 + 1. Let l be v(1). Suppose -2*c = -2*q + 246, -4*c - 366 = -3*q - 0*q. Calculate the greatest common divisor of q and l. 18 Let l(t) = -t**2 - 6*t - 2. Let q(n) = -n**2 - n - 4. Let b be q(0). Let v be l(b). Calculate the highest common divisor of v and 6. 6 Let j be (-30)/4*-2 + (-4 - -6). What is the greatest common factor of j and 221? 17 Suppose -4*f - i + 61 = 0, 2*f - 22 = -2*i + 10. What is the highest common divisor of f and 105? 15 Let b(z) = 5*z**2 - 2*z - 1. Let d be b(2). Suppose 0 = -2*u - 2*u. Suppose u = -3*m + d + 9. Calculate the highest common factor of m and 88. 8 Let z = -15 + 17. Calculate the greatest common factor of 14 and z. 2 Let l be -10*(-2 - (-8)/5). Let k = l + -3. Let i be 5 + (4/2)/k. Calculate the greatest common divisor of 35 and i. 7 Let k be 339/11 - 16/(-88). Suppose k = 4*g - 13. Calculate the greatest common divisor of g and 44. 11 Suppose 0 = 4*n + 4*y - 40, 4*n + 2*y = 5*y + 26. Suppose -n = -4*q + 76. Suppose 2*k + k = q. What is the highest common factor of 7 and k? 7 Suppose 0 = 5*u + 10, -54 = 4*i + 6*u - 3*u. Let q be (13/(-3) + 1)*i. What is the highest common divisor of q and 60? 20 Let g = 10 + -5. Suppose g*n + k - 4 = 0, n + 3*k + 3 = 1. What is the highest common divisor of n and 7? 1 Suppose -5*w + 6 = -4. Let g(j) = 2*j - 2. Let c be g(w). Suppose 3*h - 5*d - 36 = 0, -4*d + d = h + c. What is the highest common divisor of h and 14? 7 Let c(z) = z**2 - 10*z + 24. Let m be c(10). What is the highest common factor of 72 and m? 24 Let z = 37 - 27. Calculate the highest common factor of z and 2. 2 Suppose -5*w = -3*j + 101, j + 4*w + 4 = 32. Let q be (-2)/5 - (-42)/5. Calculate the highest common divisor of j and q. 8 Let x be (-128)/(-20) - (1 + (-6)/10). Calculate the highest common factor of 6 and x. 6 Let i(z) = z + 6. Let x be i(16). What is the greatest common factor of x and 2? 2 Suppose 3*x = -2*x + 855. What is the greatest common divisor of 19 and x? 19 Let t = 7 - -2. Calculate the greatest common factor of t and 36. 9 Suppose -7 - 133 = -5*r. Suppose 2*l - 9 = -1. Calculate the greatest common factor of r and l. 4 Suppose 3*h - 8*h = 0. Suppose -2*w - 10 = -h*w. Let a = w + 9. What is the highest common divisor of 4 and a? 4 Suppose -4*t = -20, -t + 219 = 4*j - 2*j. Suppose 37 = -5*k + j. Calculate the highest common divisor of k and 2. 2 Suppose -3*k = -2*n + 61, -n - 4*k = 4*n - 210. What is the highest common divisor of n and 304? 38 Suppose c - 2*b - 94 = 0, -c + 85 = -3*b - 8. Calculate the greatest common divisor of c and 24. 24 Let q(f) = 8 + 3*f**3 + 2*f**3 - 4*f**3 - 7*f**2. Let w be q(7). Calculate the highest common factor of w and 8. 8 Let f = -110 + 214. Let u be (-10)/14 + 6/(-21). Let p(o) = -14*o**3 - 2*o**2 + 1. Let l be p(u). Calculate the highest common factor of l and f. 13 Let a(t) = 4*t**3 + 2*t - 1. Let y be a(-3). Let w = y + 191. Suppose 20 - w = -4*k. Calculate the highest common factor of 14 and k. 14 Suppose -4*v - 416 = -3*i - i, 3*i - 314 = v. Let n be 71 + 0/1 - 1. Calculate the greatest common factor of i and n. 35 Suppose 2*p + 93 = 4*k + 305, -233 = -2*p - 3*k. Suppose 0 = -3*y - 3 + 6. Let f be 12 - (2 - 4/y). What is the greatest common divisor of p and f? 14 Suppose -5*r = -3*r. Let c(j) = j**2 + j + 20. Let n be c(r). Calculate the highest common divisor of 5 and n. 5 Let i = 56 + 6. Let l = -7 + i. Let r = 77 - 55. What is the highest common divisor of l and r? 11 Let b(z) = z + 42. Let n be b(0). Let x = 26 - 4. Suppose -5*i = -3*s + 37 + x, 0 = s + 5*i - 53. Calculate the greatest common divisor of n and s. 14 Let c be (-260)/(-16) - (-1)/(-4). Calculate the greatest common factor of 8 and c. 8 Let s(j) = -42*j - 3. Let t be s(-2). Suppose -12 = -3*g - 60. Let u = -7 - g. Calculate the greatest common factor of u and t. 9 Let h(g) = 5*g**3 + 1. Let j(p) = -6*p**2 - 7*p - p + 0*p**2 + 8 + p**3. Let a be j(7). Let t be h(a). What is the greatest common divisor of 4 and t? 2 Suppose 0 = -11*x + 57 + 108. Let d be (2 - 10)*(-30)/4. Calculate the highest common divisor of x and d. 15 Let y(p) = 3*p - 11. Let h be y(8). Let j = h - 9. Calculate the highest common divisor of j and 16. 4 Let x be (-48)/(-5)*20/6. Let z(w) = w**3 - 4*w**2 - 5. Let s be z(4). Let a be (6*-2)/(s/20). Calculate the greatest common factor of x and a. 16 Let z = 16 - 9. Let h = z + -1. Suppose 3*u + 3*i + i = 4, u - i - h = 0. Calculate the greatest common factor of u and 36. 4 Suppose 2*f - 145 = -3*f. Let w = f - 8. Calculate the highest common diviso
{ "pile_set_name": "DM Mathematics" }
20). 0 Let c(j) = j**2 - 6*j + 11. Give c(6). 11 Let n(w) = 24*w + 91. Determine n(-3). 19 Let l(n) = 9*n**2 - 1. What is l(1)? 8 Let s(j) = -j**2 - 7*j - 8. Calculate s(-7). -8 Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)? -15 Let b(f) = 9*f + 1. Determine b(1). 10 Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calculate h(-5). 8 Let i(x) = 2*x**3 - 2*x**2 - 2*x - 1. Determine i(-2). -21 Let s(i) = -i**2 - 8*i + 7. Give s(-9). -2 Let i(m) = m**2 - 15*m - 2. Determine i(14). -16 Let h(x) = -5*x - 4. What is h(6)? -34 Let k(a) = -a**3 + 22*a**2 - 20*a - 16. Give k(21). 5 Let a(i) = 23*i**2 + 113*i + 12. What is a(-5)? 22 Let y(s) = -8*s + 86. Calculate y(11). -2 Let m(u) = -u**2 + 13*u - 53. Calculate m(12). -41 Let v(l) = -32*l - 18. Determine v(-6). 174 Let v(w) = w**3 + 5*w**2 + 2*w + 12. Calculate v(-5). 2 Let f(m) = -m**3 - m**2 + 3*m - 13. Determine f(-3). -4 Let r(g) = -g**2 - 2*g. What is r(-4)? -8 Let s(p) = -5*p + 107. Calculate s(20). 7 Let u(b) = 10*b + 23. What is u(-3)? -7 Let p(f) = -2*f**2 - 22*f - 14. Determine p(-10). 6 Let b(x) = 3*x**2 + 7*x + 4. Calculate b(-2). 2 Let a(m) = 4*m - 37. Determine a(9). -1 Let h(g) = -9*g**3 + g - 2. What is h(1)? -10 Let v(x) = x**2 + 33*x - 201. Determine v(5). -11 Let x(z) = -z + 5. Give x(8). -3 Let z(n) = -9*n + 69. Calculate z(9). -12 Let i(q) = q**3 - q**2 - 47. Calculate i(0). -47 Let q(h) = h**2 - 9*h - 14. Give q(10). -4 Let m(w) = -6*w + 2. Calculate m(5). -28 Let g(h) = 7*h - 47. Give g(5). -12 Let a(d) = d**3 - 6. Determine a(0). -6 Let k(b) = 4*b - 45. Calculate k(9). -9 Let x(i) = 17*i - 82. Calculate x(5). 3 Let y(b) = b**2 + 12*b + 1. Give y(-12). 1 Let t(q) = q**2 + 22*q - 114. Give t(-26). -10 Let t(h) = h**3 + 4*h**2 + h - 2. Determine t(-3). 4 Let z(q) = -4*q**2 - q + 13. Determine z(2). -5 Let l(a) = a**3 + 6*a**2 + 12*a + 16. Determine l(-2). 8 Let k(l) = -l**3 + l**2 - l + 8. Calculate k(0). 8 Let w(x) = -x**3 - 15*x**2 + 19*x + 59. Calculate w(-16). 11 Let y(l) = -7*l**2 + l + 4. What is y(-5)? -176 Let d(g) = -g**2 + 3*g + 62. What is d(-7)? -8 Let j(r) = 4*r**2 - 2*r. Calculate j(2). 12 Let s(h) = h**2 - h - 159. Calculate s(14). 23 Let k(m) = -7*m - 40. What is k(-6)? 2 Let d(f) = f**2 + 13*f + 24. Determine d(-11). 2 Let v(y) = 2*y**3 + 4*y**2 - y - 3. Determine v(-3). -18 Let a(y) = 8*y + 42. What is a(-8)? -22 Let j(c) = c**2 + 5*c - 182. Calculate j(11). -6 Let d(o) = -2*o - 12. What is d(-4)? -4 Let n(a) = -a**3 + 32*a**2 - 116*a + 97. Calculate n(28). -15 Let x(c) = -c**3 + 12*c**2 - 12*c. Calculate x(11). -11 Let x(f) = -2*f**2 - 10*f - 15. Calculate x(-6). -27 Let h(t) = t**3 - 2*t**2 - 6*t + 4. What is h(4)? 12 Let k(c) = -6*c - 9. Give k(-4). 15 Let s(n) = 8*n - 7. Calculate s(6). 41 Let k(b) = -16*b - 49. Calculate k(-8). 79 Let s(m) = -m**2 - 29*m + 7. Determine s(-30). -23 Let b(z) = 3*z - 4. Give b(2). 2 Let q(p) = 4*p**2 + 54*p + 2. Determine q(-14). 30 Let r(h) = -h**3 - 3*h**2 - 3*h + 4. Determine r(-3). 13 Let z(t) = t**3 + 2*t**2 + 3*t + 2. Give z(3). 56 Let o(j) = -29*j**2 + 1. Calculate o(1). -28 Let k(i) = -i**3 - 3*i**2 + 5*i + 4. Determine k(-4). 0 Let y(r) = -r**3 + 22*r**2 - r + 1. Determine y(22). -21 Let w(t) = 2*t**3 + 8*t**2 + t - 2. What is w(-3)? 13 Let v(g) = -4*g**2 + 6*g - 9. Calculate v(3). -27 Let f(k) = 232*k + 473. Determine f(-2). 9 Let y(a) = -54*a**3 - a**2 - a + 2. What is y(1)? -54 Let i(a) = -a**3 + 21*a**2 + a - 29. Calculate i(21). -8 Let h(l) = -l**3 + 2*l**2 - 3. Calculate h(0). -3 Let b(l) = l**3 - 15*l**2 + 13*l + 15. Determine b(14). 1 Let a(n) = -n**3 + 7*n**2 + 11. What is a(7)? 11 Let v(w) = -11*w - 79. Determine v(-6). -13 Let b(n) = -n - 8. What is b(-7)? -1 Let y(j) = -j**3 + 13*j**2 - 9*j + 10. What is y(12)? 46 Let t(r) = -r**2 - 5*r + 22. What is t(-7)? 8 Let s(a) = -a**3 + 3*a + 6. Determine s(-2). 8 Let m(c) = -5*c**2 + 2. What is m(1)? -3 Let s(d) = -d - 1. Give s(-2). 1 Let c(b) = b**3 - b**2 + 3*b + 31. Give c(0). 31 Let i(f) = -10*f + 2. Calculate i(1). -8 Let w(h) = 6*h - 8. Determine w(-17). -110 Let y(v) = -v**3 + 22*v**2 - v + 21. What is y(22)? -1 Let c(h) = -h**3 + 4*h**2 + 17*h + 5. Give c(6). 35 Let p(j) = -58*j - 14. What is p(0)? -14 Let g(i) = -15*i - 357. Determine g(-24). 3 Let p(x) = -x**2 + 6*x + 10. What is p(9)? -17 Let x(s) = -s**3 + 6*s**2 + 10*s + 29. Determine x(8). -19 Let f(p) = p**3 + 67*p**2 + 191*p - 57. Give f(-64). 7 Let g(y) = 14*y**2 + 6*y - 16. Calculate g(2). 52 Let q(w) = -w**3 - 9*w**2 + 5*w + 25. Calculate q(-10). 75 Let u(a) = -3*a - 24. Give u(3). -33 Let s(u) = u**2 - 14*u + 4. Calculate s(9). -41 Let b(z) = z - 7. Give b(21). 14 Let v(x) = x**3 + 2*x**2 - 3*x + 4. Give v(-3). 4 Let i(z) = z - 12. Determine i(5). -7 Let t(h) = -2*h + 33. Calculate t(16). 1 Let u(b) = -6*b - 1. Determine u(6). -37 Let w(m) = -139*m + 562. Determine w(4). 6 Let i(n) = 2*n**3 + 14*n**2 + 13*n + 2. Give i(-7). -89 Let y(c) = -22*c - 66. What is y(-3)? 0 Let s(y) = -y**3 + 23*y**2 + 27*y - 67. Determine s(24). 5 Let o(n) = 2*n - 16. Determine o(11). 6 Let i(n) = -2*n + 15. Give i(6). 3 Let l(y) = -y**3 - 10*y**2 - y - 5. Calculate l(-10). 5 Let i(p) = -p**2 - 20*p + 63. What is i(-22)? 19 Let g(d) = 338*d + 1356. What is g(-4)? 4 Let f(w) = 61*w**3 - w**2 - w + 2. What is f(1)? 61 Let h(r) = r**3 + 11*r**2 - 9*r + 4. Give h(-12). -32 Let v(d) = 2*d**3 - 87*d**2 - 43*d - 40. Calculate v(44). 4 Let b(s) = -6*s**2 + 2*s + 2. Calculate b(-1). -6 Let h(r) = -r**2 + 7*r - 15. What is h(8)? -23 Let b(y) = y**3 + 3*y**2 - 16*y - 14. What is b(-6)? -26 Let b(g) = -2*g**3 - 12*g**2 + 14*g + 9. What is b(-6)? -75 Let b(f) = f**3 + 25*f**2 - 2*f - 42. Determine b(-25). 8 Let a(p) = -4*p + 11. Give a(-1). 15 Let k(q) = -q**3 + 16*q**2 + 19*q - 66. Determine k(17). -32 Let h(s) = 4*s**2 + 4*s + 11. Give h(-3). 35 Let m(d) = 3*d**2 + 2*d + 2. What is m(-2)? 10 Let x(c) = 5*c**3 - 3*c**2 + 3*c - 5. Determine x(2). 29 Let a(k) = -2*k - 29. Determine a(-14). -1 Let t(a) = 2*a + 57. Give t(-30). -3 Let g(p) = -p**3 - 6*p**2 - 6*p + 8. Give g(-4). 0 Let t(m) = m**3 + 14*m**2 + 2*m + 20. Calculate t(-14). -8 Let l(p) = p**2 - 24*p + 126. Give l(8). -2 Let p(f) = -f**3 - 4*f**2 + 15*f + 2. Calculate p(-5). -48 Let j(m) = -m**2 - 23*m - 135. Give j(-13). -5 Let b(m) = 4*m - 5. What is b(-4)? -21 Let x(r) = -59*r - 106. Calculate x(-2). 12 Let b(w) = 14*w - 68. Give b(6). 16 Let f(b) = -2*b**2 + 4*b + 27. Determine f(-3). -3 Let m(c) = 13*c**2 - 55*c + 7. Give m(4). -5 Let y(w) = w**3 + 16*w**2 + 2*w + 21. What is y(-16)? -11 Let x(f) = -22*f**2 - 3*f - 2. Give x(-1). -21 Let z(f) = f**3 + 5*f**2 + 12*f + 24. Give z(-3). 6 Let n(l) = l**3 - 11*l**2 + 10*l + 14. Give n(10). 14 Let b(y) = -y**3 + y**2 - 11. Give b(0). -11 Let h(n) = -16*n - 77. Give h(-5). 3 Let n(g) = g**3 + 7*g**2 + g + 3. What is n(-7)? -4 Let i(h) = -h**3 + 2*h**2 - h + 2. Give i(3). -10 Let r(s) = s**3 + 2*s**2 + 2*s + 11. Determine r(0). 11 Let f(z) = z**3 - 16*z**2 + 13*z + 25. Determine f(15). -5 Let u(q) = -q**3 + 14*q**2 - 12*q - 16. What is u(13)? -3 Let b(q) = 3*q**2 - 30*q - 7. Calculate b(10). -7 Let j(v) = -16*v**2 + v. What is j(1)? -15 Let c(k) = -9*k - 23. Determine c(-8). 49 Let v(c) = -c**3 + 37*c**2 + 39*c - 22. Give v(38). 16 Let z(m) = -2*m**2 - 35*m - 9. What is z(-17)? 8 Let c(b) = b**3 + 8*b**2 + 8*b - 4. Give c(-6). 20 Let d(p) = p**3 - 24*p**2 + 6*p + 390. Calculate d(23). -1 Let w(h) = 2*h**2 + h - 32. What is w(0)? -32 Let c(y) = -y**3 - 22*y**2 + 72*y - 52. Give c(-25). 23 Let g(f) = -f**2 - 31*f - 122. Give g(-26). 8 Let h(j) = -4*j - 41. Calculate h(-14). 15 Let s(p) = p**3 + 5*p**2 - 10*p + 16. What is s(-7)? -12 Let c(w) = -2*w**2 - 18*w - 32. Give c(-7). -4 Let n(y) = 2*y**2 - 4. What is n(2)? 4 Let c(o) = -o**3 + o**2 + 2*o - 76. Give c(0). -76 Let j(c) = -c**3 - 14*c**2 - 14*c + 12. Determine j(-13). 25 Let m(t) = -t + 35. Determine m(0). 35 Let z(q) = q**2 + 11*q - 10. What is z(-11)? -10 Let p(j) = -19*j + 115. What is p(6)? 1 Let a(j) = -j**3 - 16*j**2 - 11*j + 2. Determine a(-15). -58 Let c(i) = -3*i**2 - 4*i - 3. Determine c(-2). -7 Let q(l) = l**2 - 24*l + 26. What is q(23)? 3 Let y(c) = 57*c + 224. Determine y(-4). -4 Let r(z) = z**2 - 95. Calculate r(0). -95 Let t(s) = s**2 - 5*s - 33. Calcul
{ "pile_set_name": "DM Mathematics" }
e (-91)/(-2)*134/469. 13 What is (1/(-6))/(-15*20/5400)? 3 Evaluate (3 - 0) + (49/7 - -1). 11 Calculate 99/(-17) + 13/(26/(-6)) + 9. 3/17 Calculate 5 + (-6)/(-2) + -10. -2 What is the value of ((-1602)/(-27412))/((-6)/(-28))? 3/11 -65 - (462 + -42)/(-15) -37 2/(6/(-7) + (-2592)/(-3402)) -21 Calculate -10 - 136/((34160/126)/(-20)). 2/61 Evaluate 51/(-3) + 3870/215. 1 What is (-1 + (-4)/28)/((-61)/1281)? 24 What is (-18)/84*-7 - (266/(-16))/(-19)? 5/8 2/12 - 426/(-20)*(-205)/(-369) 12 (-1 - (1/(-4))/((-12)/(-96)))*16 16 Evaluate (25/10)/((-7)/14). -5 Evaluate ((-27)/12)/(22/(23232/(-72))). 33 ((-2 + 3)/(11/(-44)))/((-102)/(-3)) -2/17 What is the value of ((-24)/120)/((-3)/(-12))? -4/5 What is (6*(-2)/9)/(352/(-1848))? 7 Evaluate (-1 + 55/15 - (6 - 3))*39. -13 Calculate 17/((-51)/(-2)) - ((-125)/15 + -3). 12 Calculate (45/(-30))/(((-27)/(-30))/(-3)). 5 Calculate -1*(860/60 + -14). -1/3 ((-1)/2)/(360/(-7920)) 11 Evaluate ((-6)/168)/(1360/(-952)). 1/40 What is the value of -3 + 9 - (-81)/(-12)*(-180)/(-210)? 3/14 Calculate (-229)/301 - (-5 + (-30)/(-7)). -2/43 Evaluate (-14 - (-272)/20)/((-6)/30). 2 What is the value of 70/(-6)*(9585/225)/71? -7 Calculate 33/270 - (-98)/980. 2/9 Evaluate 24/720 + 28/105. 3/10 Calculate (-3*(-9)/(-45))/((-357)/45 + 8). -9 What is 12/5*((-429)/(-22) - 20)? -6/5 ((-5)/42)/(120/(-96)) 2/21 Calculate ((-26)/(-14) + -2 - (-325)/(-175))/1. -2 (-30)/14*(-2296)/738*(-3 + 6) 20 What is -2*((-24)/28 - 0)/(8/42)? 9 Evaluate (-128)/(-12) - ((-154)/33)/(-7). 10 Calculate ((-5)/(50/12))/((-279)/(-3720)). -16 What is (99/(-22) + -1 + 6 + -1)*2? -1 Evaluate 30/4*(-20 - (-1008)/60). -24 What is the value of 9 + (10 - (-11 - -30))? 0 6*((-1420)/(-180) + -8) -2/3 What is -13 + (1 - 1146/(-96))? -1/16 What is (9/108*6)/(60/40)? 1/3 What is -3*(17 - (-4340)/(-255))? 1/17 What is (-4)/14 + (-296)/14 + 927/2163? -21 (-33)/(-36) - 38/57 - 7/(-420) 4/15 What is 7 + -26 + (-8528)/(-451)? -1/11 Evaluate 28/(-7) + (-7)/(-4). -9/4 Calculate (-3)/(-27) + 697/(-4896). -1/32 Calculate (8/(-32))/1*(-16)/78. 2/39 What is the value of 26/(-5)*(-28)/(-45 - -17)? -26/5 What is ((-4)/18)/(184/828)? -1 Calculate (-10)/205 - (-16620)/(-12300). -7/5 -16 - -10 - ((-78)/18 + -2) 1/3 What is (-202)/650 - (6118/247 - 25)? -2/25 What is the value of 5 - 33 - (-35903)/1338? -7/6 Evaluate 24/20*(21/12 + (-319)/(-116)). 27/5 Calculate 2 - (13/((-12675)/(-2880)) - (-4)/(-26)). -4/5 Calculate 20/2 - (-549)/(-54). -1/6 What is (14586/(-1989))/(11/(-6))? 4 (-480)/(-70) + 128/112 8 What is 3/9*-6*(1 - (-25)/(-10))? 3 Evaluate (-95)/(-285)*63/15 - (-9)/(-35). 8/7 What is (-18)/297*((-81)/18 - 0 - -6)? -1/11 What is (-42)/(-33)*-1*(-22)/(-2)? -14 Evaluate -4*28*4/(-32). 14 What is (-6)/(-12)*-6*(13 - (-2 + 9))? -18 What is the value of (0*(-1 + 24/16))/(-2)? 0 Evaluate (-3)/15*(108/24 + -7). 1/2 636/(-576)*-8 - 5/6 8 Evaluate (-47)/(-4) - (28 + 2260/(-80)). 12 (6/(-2))/6*1/7*0 0 Evaluate ((1 - 4) + 2)/((-32)/(-43680)*65). -21 Evaluate (-23 - -22) + (-17)/(612/(-56)). 5/9 ((-3)/(-36))/((-4329)/2664) -2/39 Calculate (8/30)/(36/(-30)) - 304/(-1044). 2/29 What is the value of (68/85)/(1/5) - (3 + -3)? 4 Calculate (-36)/(-3402)*-3*35/(-5). 2/9 Evaluate (-15)/42 - (-41202)/1764. 23 Evaluate 5*3*(814/(-66) - -13). 10 What is (-27 + 0)/((-2739)/132 + 20)? 36 Calculate -1*2*((-5600)/(-64))/(-35). 5 20*144/(-64)*(-2)/(-9) -10 Evaluate (-34)/306 - (-82)/9 - 72/18. 5 What is the value of 33 - 8 - ((-33)/3 - 2)? 38 Calculate 978/(-98) + (95 - 99) + 14. 1/49 What is the value of (-279)/45 - -4 - 301/(-215)? -4/5 What is the value of 8/23*(-2703)/7208? -3/23 Calculate ((10 - 11)*(1 + 0))/((-740)/555). 3/4 What is (-3 - 0)/((-2)/6 + (-22)/(-33))? -9 What is the value of (-570)/216*-6 - 16? -1/6 What is the value of 276/370*-1 + 6492/8115? 2/37 What is the value of (-32)/(-6)*29/928*24? 4 What is -14 + 4 - (160/48)/(5/6)? -14 What is the value of -30 + 13 + 3 - 0? -14 Calculate ((-20)/(-3))/5*12/80*-2. -2/5 Calculate (-3)/(6/4)*(-7695)/1026. 15 Calculate -15*(2/120*5)/(12/48). -5 Calculate (5 - 1)*(-39)/2730. -2/35 Evaluate 7/(-2)*((-612)/168 + 8 - 5). 9/4 -25 - 18830/(-525) - 2/(-15) 11 Calculate (-270)/(-30)*(-15)/((-315)/(-56)). -24 What is 624/182*35/(-170)? -12/17 What is (-1240)/(-88) - 92/(-1518)*(-9)/6? 14 ((-1122)/154 - -7)*(2 - -54) -16 9/(-90)*(-3 + -42) - 4 1/2 Evaluate (5/(-180))/(5/(-150)). 5/6 What is (-215)/5 + 28 - -33? 18 (4/17*34)/(-14 + 0 - 0) -4/7 Calculate ((-72)/60)/2 - 8/(-12). 1/15 (-70)/(-24) + -32 + 14245/444 - -5 8 Calculate (12*(23 + -24))/(3/4). -16 Evaluate ((-2)/(-3))/(-22*(-48)/(-1848)). -7/6 What is (-26319)/1209 + 22 + ((-240)/26 - 0)? -9 Calculate (-9)/165*335 - (-26 - -9). -14/11 What is (-2 - -1)*(634 + -609)? -25 Evaluate 8/(-2)*1*(-5 + (-26)/(-5)). -4/5 What is (-31416)/(-5355) - (9 + (-2 - 1))? -2/15 What is the value of 43/(-65) + (-302)/(-1510)? -6/13 What is 232/(-22) + (15/12)/((-110)/(-880))? -6/11 What is ((-493)/51 - -10) + (-38)/60? -3/10 -29 - (-50 + (-25)/(-1)) -4 What is 49 + -49 - -9*(-3 - -2)? -9 (-160)/85 - -6 - (-72)/(-612) 4 ((-19626)/(-16355))/((-42)/(-10)) 2/7 What is the value of (2 - 1)/(65/39*(-3)/(-6))? 6/5 -2*(-11)/44*4 2 What is 105/(-70)*1/4? -3/8 What is the value of ((-143)/44 + (-5)/(-1))/1*-4? -7 ((-840)/(-112))/(-10*(-3)/2) 1/2 What is the value of 2/(50/25 - (9 - 3)*2)? -1/5 (-266)/(-1178)*((-156)/(-42) + -4) -2/31 10692/(-792) + -2*(-26)/4 -1/2 (1 - 2)*4444/(-404) 11 What is (-6)/70 + 3/(-15) - 1598/238? -7 What is (-2 - -20) + 6/16 + (-690)/(-80)? 27 What is the value of (-2*1/6)/(75/(-18))? 2/25 (-141)/(-60) + (-4 - (-351)/156) 3/5 Evaluate (-3)/((-42)/(-40)) + (21 - (-1332)/(-63)). -3 What is 323680/(-12460) - (-8)/(-356)? -26 Evaluate 310/34 - (561 - 552). 2/17 What is the value of ((-55)/(-10))/((-6)/24 - 6/(-8))? 11 Evaluate 12/4*(6 - (-476)/(-42)). -16 What is (-42532)/(-3773) - (-1 - -12)? 3/11 Calculate 15/8*(32/(-120) + (-2)/5). -5/4 What is 0 + 4 - (-9 - (1 - 16))? -2 Calculate 16/(-30)*(-333)/(-222). -4/5 Evaluate -2 - 27/(756/(-88)). 8/7 What is the value of 208/117*3/(-6)*1/12? -2/27 Evaluate ((-54929)/(-735))/(-19) - 1/15. -4 What is (114/57)/(6/7 - 1)? -14 What is the value of (-4324)/282*((-22)/(-20) + (-12)/(-30))? -23 Calculate (-132)/69 + (10 - (1 + 7)). 2/23 What is the value of (14 + -23)/((-9)/(-15))? -15 Calculate 24/(-90) - (-168)/(-420). -2/3 (106/371)/(0 - -1)*84/76 6/19 What is ((-1288)/140)/23*-10? 4 3658/708*6/10 + (-3)/1 1/10 Calculate -5 + 5 + -11 + (-57)/(-5). 2/5 Calculate ((-24)/(-32))/((-15)/140). -7 What is 51 - 40 - (5 - (0 - 1))? 5 What is -75*(-2 + (-448)/(-240))*(-2)/4? -5 Evaluate 1 - (-1447)/(-1443) - 1414/(-26159). 2/39 What is the value of (-38 + (-2528)/(-48))/((-8)/(-6))? 11 15/12*(-340)/255 -5/3 Evaluate (33 - 1737/54)*4/(40/9). 3/4 What is the value of 710/50 + 121/(-55)? 12 What is the value of (-10142)/594 - ((-18)/243 - 0)? -17 Evaluate (-3 - -11) + (-3)/(6/(1 - 7)). 11 What is (-9)/(-12) - ((-8789)/238)/(-47)? -1/28 What is the value of 44/682 - (-384)/(-2108)? -2/17 Evaluate (50/(-32))/(2860/(-2288)). 5/4 376/(-10340) - 12744/440 -29 -28*((-136)/(-374) - (-76)/(-88)) 14 What is the value of 35/(-15) + 1 + (-2 - (-738)/189)? 4/7 What is the value of (56/924)/((-16)/(-6) + 9/(-3))? -2/11 What is 2/3 - (-24053)/1077? 23 Calculate (3 + (-48)/15)/(1962/(-3270)). 1/3 Evaluate ((-40460)/80)/17 + 30. 1/4 Evaluate (-3)/8*65*(-52)/1014. 5/4 1 - 113/(-9) - (-8)/18 14 Evaluate (4 + (145/70 - 5))*49/42. 5/4 3/26*-4*26 -12 What is ((-129)/8127)/(4/(-14))? 1/18 Evaluate 970/291*((-2 - 424/(-100)) + -2). 4/5 What is ((-2)/6*17)/((-17)/(-51))? -17 What is the value of (2*(-1)/(-5))/(((-224)/490)/8)? -7 Calculate (1275/(-119) + 10)/(-5). 1/7 What is the value of (-20)/(-6)*3 + (-930)/(-62)? 25 Calculate (1 - 1)/((12 - 29)/17). 0 Calculate ((-13890)/(-247) - 56) + (-2)/26. 3/19 Calculate -5*(0 - -1) + ((-4319)/(-287) - 10). 2/41 -27 - (-21)/(147/329) 20 Calculate (-483)/23 + 16 + 15/6. -5/2 Evaluate 3/(-9) + (-238)/42. -6 Calculate 2/30*(-217 + 112). -7 What is the value of (-9)/(-3)*((-17304)/(-864) - 20)? 1/12 (480/56)/12 + (-3438)/(-126) 28 What is (-5 + (-148)/(-28))*(-567)/(-18)? 9 Calculate 2/(-10)*(-79 - -24). 11 What is the value of (-4*1 - -1) + 2668/552? 11/6 Evaluat
{ "pile_set_name": "DM Mathematics" }
4 - 5)*(2 - 2 + 2*j**5) - 352*j**5 - 761*j**5 + 63*j**5. -1058*j**5 Expand (0*w + 3*w - 4*w)*((-w + 11*w + 6*w)*(4 - 2 - 1) - 2*w - 2*w + 5*w + 6*w - 3*w - 2*w) + (4*w**2 + 36*w**2 + 10*w**2)*(-2 + 1 - 2). -168*w**2 Expand (-6*h + 84*h**2 - 167*h**2 + 86*h**2)*(7*h - 2*h + 5*h + (-4 + 4 + h)*(7 - 1 + 2)). 54*h**3 - 108*h**2 Expand (q - q - 2*q)*(4*q**2 + 0*q**2 - 3*q**2)*(2*q + 0*q + 6*q)*(0 - 4 + 6) + 18*q**4 - 7*q**4 - 6*q**4. -27*q**4 Expand (0 + 2 - 3)*(0*c - 4*c - 4*c)*(0*c**2 - 2*c**2 + c**2) + (c - c + 2*c)*(-97*c**2 + 247*c - 247*c). -202*c**3 Expand (0*n**3 - n**3 + 0*n**3)*(-3*n + 3*n - n)*(6*n + 3*n - 3*n)*(-4 + 1 + 4)*(4 - 5 + 2)*(27 - 33 + 14). 48*n**5 Expand (-2 + 0 + 1)*(-2 + 1 + 0)*(-1 + 1 - 1)*(12*b**2 + 8*b**2 + 6*b**2)*((3 + 0 - 4)*(-2*b + 2*b - 2*b) + 2*b - 3*b + 3*b). -104*b**3 Expand (-a - 1 + 1 + (0 + 3 - 4)*(a - a + a) + 0 + 0 - 2*a + (-2*a - a + 4*a)*(-4 + 3 - 1) - 4 - 9*a + 4)*(-205*a + 204 - 204). 3075*a**2 Expand (-26331*a**2 + 28731 - 28731)*(3*a - 5*a + a)*(-2*a + 1 - 1). -52662*a**4 Expand (-6*q**2 + 4*q**2 - q**2)*(-2 + 1 - 1) + (2*q - 6*q + 2*q)*(-2*q - 3*q + 0*q - 3*q + 13 - 13 + 0*q + 2*q + 0*q + (3 + 1 - 3)*(2*q + 3*q - 3*q)). 14*q**2 Expand (-58*c**2 - 36*c**2 + 10*c**2)*(-39 - 7*c + 39 + (-1 - 1 + 3)*(1 - 2*c - 1)) - 2*c**2 - 2*c**3 + 2*c**2. 754*c**3 Expand (0 - 3 + 1)*(2*v**2 + 2*v**2 - v**2) + (-108*v + 594 + 594 - 1190)*(-2*v - 2*v + 5*v). -114*v**2 - 2*v Expand (p - 2*p + 6*p)*(1 + 3 - 3)*(2 - 8 + 7)*(3 - 2 + 1 + (-3 + 4 + 0)*(-1 - 2 + 16)). 75*p Expand (4*y**2 + 9 - 9)*(-136 + 205 + 211 + (-2 + 2 + 2)*(-5 + 3 + 3)*(4 - 1 - 2)). 1128*y**2 Expand (228505 + 10*k - 228505 + 2*k**4 - k**2)*((0 + 0 - 1)*(-1 + 1 + 2) - 1 - 1 - 1 - 6 + 2 + 2). -14*k**4 + 7*k**2 - 70*k Expand -6995*i**5 + 6997*i**5 + 10 + 9*i**2 + i**3 - 3 + (2*i**3 + 0*i**2 + 0*i**2)*(i**2 - 2*i + 2*i). 4*i**5 + i**3 + 9*i**2 + 7 Expand (-19758*a**3 + 19758*a**3 - 550*a - a**4)*(-7 + 44*a + 7). -44*a**5 - 24200*a**2 Expand (0 - d + 0)*(-1409 + 650 + 126 - 2250). 2883*d Expand -6 - 4 + 27 + 3*v + 5*v - 3*v + 4*v + (2*v - 3 + 3)*(1 + 3 - 2). 13*v + 17 Expand (1 - 1 + 2*d)*(-107*d**3 + 39*d**3 - 628*d**3). -1392*d**4 Expand p**4 + 6*p**4 + 16*p**4 - p**4 + 0*p + 0*p + (-5*p**2 + 0*p**2 + 3*p**2)*(3*p**2 - 2*p**2 - 3*p**2) + p**4 + 1 - 1. 27*p**4 Expand (0*w + 0*w - 2*w)*(1 + 1 - 1) + (0 + 0 - 2*w)*(-174 + 196 - 928). 1810*w Expand (3*l - 4*l + 2*l + (4 - 3 + 0)*(5*l - l - 2*l) + (-3*l + 0*l + l)*(0 - 3 + 1))*(-5*l**2 + 516452 - 516452 - 447*l**3). -3129*l**4 - 35*l**3 Expand (2*z - 5*z + 4*z)*(1 + 0 + 1) + 0 - z + 0 + 10*z + 21*z - 11*z + 2 - 4*z + 7*z - 6*z. 18*z + 2 Expand (-66 + 151 - 686)*(-14 + 4*t**4 + 14). -2404*t**4 Expand (-m - m + m)*(m - 2 + 2) + (-8*m**2 - 23 + 23)*(6 - 2 + 0) + 0*m - 13*m**2 + 0*m. -46*m**2 Expand (-3 - 1 + 3)*(-3430*o + 1737*o + 2101*o)*(-5 + 5 + 2)*(3 + 0 - 1). -1632*o Expand (743*r + 426*r - 272*r)*(-r**2 - 3*r**2 + 2*r**2). -1794*r**3 Expand (-4*l**2 + 0*l**2 + 3*l**2)*(-9 - 438761*l**3 + 438373*l**3 + 21). 388*l**5 - 12*l**2 Expand ((0*c - c - c)*(0 + 0 + 2*c**2) - 13*c**3 + 38 + c**3 - 34)*(-10 - 5 - 41). 896*c**3 - 224 Expand -5090138*z**3 + 454*z**4 + 2*z**2 + 5090138*z**3 + (0*z + 0*z - z**2)*(2*z**2 - 4*z + 4*z). 452*z**4 + 2*z**2 Expand -27*z**3 - 2*z**3 + 6*z**3 - 67*z**3 + 15*z**3 - 34*z**3 + (3*z - 2*z**2 - 3*z)*(2*z - 2*z - z). -107*z**3 Expand (17254*y - 135312903 + 135312903)*(4 - 1 - 1)*(3 - 1 - 1)*(1 - 2 + 2). 34508*y Expand (-9 + 9 + 6*z**3)*(7*z**2 + 1428*z - 1428*z) + (-1 + 1 - 2)*(z**5 - z**5 + z**5). 40*z**5 Expand (r - 3*r + r)*(-2*r + 4*r - 3*r) + 48*r**2 + 94*r**2 - 238*r**2. -95*r**2 Expand (-4 - 14 - 6 + 1)*(88*h**3 - 215*h + 215*h). -2024*h**3 Expand (278 + 383 - 218 + (3 - 6 - 2)*(-2 + 3 + 1))*(-d**2 + d**2 - 3*d**2). -1299*d**2 Expand (94*l - 244*l + 18*l)*((0 - 5 + 3)*(2*l + 2*l - 5*l) + 4*l + 3*l - 6*l + 3*l - l - l - 4*l + l + 4*l + l + 5 - 5)*(2 - 1 + 0)*(4 + 4*l - 4). -3168*l**3 Expand (23*m**2 + 29*m**2 - 20*m**2)*(149 - 149 + 19*m). 608*m**3 Expand (2*w + 3*w - 3*w)*(6*w**4 - 5*w**4 - 5*w**4) + (18*w - 18*w - 2*w**4)*(5*w - 4*w - 2*w + (-3 + 0 + 1)*(-1 + 1 - w)). -10*w**5 Expand (g**3 + 6*g**3 + 7*g**3)*(-355*g**2 - 388*g**2 - 89*g**2 - 330*g**2). -16268*g**5 Expand ((0 + 0 + i)*(-1 + 1 + 2) - i - 2 + 2 + (0 + 0 - 3)*(-i - 2*i - 4*i))*(-14*i - 11*i + 30*i). 110*i**2 Expand 6*y**4 - 3*y**4 - y**4 + (-3 + 5 + 0)*(-2*y + 2*y - 2*y)*(-36*y**3 + 35*y**3 - 73*y**3). 298*y**4 Expand -r**4 - 3*r + 3*r + (-1 + 5 - 3)*(-2*r**4 - 4*r**4 + 5*r**4) - 4*r**4 + 5*r**4 - 2*r**4 + 1487*r**3 - 1487*r**3 + 721*r**4 + 4 - 3*r**4 + 2*r**4 - 1. 717*r**4 + 3 Expand (9*z**3 - 19*z**3 + 8*z**3)*(-z**2 - 2*z**2 + 21 + 2*z**2). 2*z**5 - 42*z**3 Expand (-13*q**3 + 10*q**3 + 2*q + 0*q)*(-2536 - 210*q + 2536). 630*q**4 - 420*q**2 Expand (2 - 2 + 2)*(-q**2 + q**2 + q**2 + (28*q - q + 0*q)*(-253 + 1 - 8)*(4*q + 3*q + 2 - 6*q)). -14038*q**2 - 28080*q Expand (l + 8*l + 27*l)*(34 - 80 - 33). -2844*l Expand -2*b + 2*b - 2*b + (5 - 5 + 9*b)*(-1 + 0 + 2) + 51*b - 69*b + 31*b. 20*b Expand (0 + 3 - 5)*(-6*d**3 + 4*d**5 + 6*d**3) + 12*d**4 - 39*d**4 - 6*d**5 - 19*d**4. -14*d**5 - 46*d**4 Expand (-36 + 75 - 33)*(10 + 27 - 3*g + 18 + 29). -18*g + 504 Expand (23 - 23 + 27*b)*(-9*b**2 + 7*b**2 - 4*b - 2*b) + 2*b**2 - 2*b**2 - 3*b**3 + (0*b**2 - 2*b**2 + 3*b**2)*(-2*b - b + 2*b). -58*b**3 - 162*b**2 Expand (3*t**2 - t**2 - 4*t**2)*(-t - 5*t + 4*t)*(-3 + 0 + 0)*(4 - 5 - 3 + (1 + 0 - 3)*(0 + 2 + 0) - 1 + 5 - 2). 72*t**3 Expand (-88 - 289 + 24)*(0 + 0 + o) - 2*o - 2*o + 2*o. -355*o Expand (5 - 4*t - 5)*(2*t + 2 - 2)*(3 - 4 - 1) + (2*t - 2 + 2)*(t - 2*t + 0*t) - 22 + 22 - 31*t**2 + (4*t - 4*t + 2*t**2)*(-3 - 2 + 3). -21*t**2 Expand (-5 + 5 + 5*p)*(-21*p + 26*p + 8*p) - 41 + 41 - 36*p**2. 29*p**2 Expand (-2164*b + 4333*b - 2141*b)*(-13*b + 13*b - 19*b**3). -532*b**4 Expand (-8 + 9 + 461*h - 400*h)*(2*h**3 + h**3 - h**3). 122*h**4 + 2*h**3 Expand (3 + 3 - 4)*((179 + 130 + 329)*(-j + 3*j + j) - 2*j - j + 2*j). 3826*j Expand (2*w**2 - 5*w**2 + 2*w**2)*(-2 + w + 2 - 3*w - w + 3*w + (-47*w - 32*w + 5*w)*(3 + 2 - 4)). 74*w**3 Expand 1 - 5*t + 571*t - 24*t**2 - 552*t + 2*t**5 + (0*t**3 - 3*t**3 + t**3)*(2*t**2 + 0*t**2 - 4*t**2) + 0*t**5 + 3*t**5 - 2*t**5. 7*t**5 - 24*t**2 + 14*t + 1 Expand (-2274 + 107*g + 2274)*(1 - 2 + 2) + 18*g - 20*g - 16*g. 89*g Expand (-614 + 292 - 340)*(h + 0*h + 0*h + (-h + 3*h - h)*(3 - 2 + 0))*(-h**2 + h**2 - 2*h**2). 2648*h**3 Expand (3 - 3 + 6*c**3)*(-2 + 3 - 2) - 39 - 462*c + c**3 + 462*c. -5*c**3 - 39 Expand -b**3 + b**3 + 2*b**4 + (3 + 2 - 3)*(95 + 26*b**2 - 95)*(-10*b**2 + 29*b**2 + 55*b**2). 3850*b**4 Expand (5*i**3 - i**3 - 6*i**3)*((-3803*i + 7473 - 7473)*(3*i - 3*i + 2*i) + 0*i + 2*i**2 + 0*i). 15208*i**5 Expand (147*m - 18275 + 18275)*(-9 - 30 + 11). -4116*m Expand (-5*w - 14*w + 0*w + (3 + 0 - 2)*(w + 4*w - 4*w))*(-784 - w + 3*w + 766 - w**3). 18*w**4 - 36*w**2 + 324*w Expand -5*r - 21*r + 42*r + 0 - 60*r - 4 + (3*r - r - r)*(-3 - 1 + 3). -45*r - 4 Expand (142*c**4 - 5*c**4 - 52*c**4)*(5 + 1 - 5) + 7*c**3 - 7*c**3 + c**4. 86*c**4 Expand (-6 + 2 + 2)*(-5*a + 4*a + 0*a) + (-4963 + 1911 + 2061)*(a + 2*a - 6*a). 2975*a Expand 8*g**2 - 27*g**2 + 11*g**2 + (-2*g - 1 + 1)*(111 - 111 + 15*g) - 3*g - g**2 + 3*g. -39*g**2 Expand 124*b + 73*b - 51 + 5*b**2 - 195*b + (-2*b + 0*b + b)*(b + b - 4*b). 7*b**2 + 2*b - 51 Expand (-a**4 - a**4 + 4*a**4)*(2998 - 15490 + 26777 + 11939 + 22550 + 16262). 130072*a**4 Expand (5*y + 3 - 3 + (-4 + 3 + 0)*(80*y + 55*y + 10*y))*(-1 + 0 + 0). 140*y Expand (0*m + 0*m + 2*m)*(-19*m**3 - 8*m**3 - 21*m**3) + 0*m**4 - 40*m**4 + 19*m**4. -117*m**4 Expand (-2683613 - 4772*b + 2683613)*(b**2 - b**2 - b**4). 4772*b**5 Expand -23*c**2 - 124*c**2 + 15 + 90*c**3 - 14 + 146*c**2 + 3*c**3 - c**3 - 3*c**3 + (3*c**2 + 3*c**2 - 4*c**2)*(c - 3*c + 0*c). 85*c**3 - c**2 + 1 Expand 4*g**2 - 4*g**2 + 5*g**2 + 0*g**2 + 0*g**2 - 5*g**2 + (-3*g + 7*g - 2*g)*(-2*g + 4*g + 5*g). 14*g**2 Expand (-2*k**2 + 7*k**3 - 17*k**3 + 11*k**3 - 15*k)*(149 - 52 - 46). 51*k**3 - 102*k**2 - 765*k Expand (-9*w + 5 - 5)*(14 + 11 - 4 + (4 - 1 - 1)*(-1 - 3 + 3) + 2 - 3 + 2)*(w + w + 0*w)*(4*w - 4*w - w). 360*w**3 Expand (1 + 2 - 4)*(-561 + 418 + 422)*(2*o**4 - 3*o**4 - 2*o**4). 837*o**4 Expand (-2 + 2*l + 2)*(0*l
{ "pile_set_name": "DM Mathematics" }
xt in -7050, -7047, -7056, -7083, -7134? -7215 What is the next term in -24, 27, 118, 261, 468, 751, 1122, 1593? 2176 What comes next: -15491, -15493, -15497, -15503, -15511, -15521? -15533 What comes next: 533, 1156, 1749, 2318, 2869, 3408, 3941? 4474 What is next in -250941, -501886, -752831? -1003776 What is the next term in 115, 284, 453, 622? 791 What comes next: 50163, 100353, 150571, 200817, 251091, 301393, 351723? 402081 What is the next term in -50615, -50604, -50593, -50582, -50571, -50560? -50549 What comes next: -87, -128, -93, 18, 205, 468, 807? 1222 What is next in 11600, 11595, 11578, 11543, 11484? 11395 What comes next: 227787, 227785, 227783, 227781? 227779 What is next in -6540, -13063, -19578, -26085, -32584, -39075? -45558 What is next in -1211, -4818, -10829, -19244, -30063, -43286, -58913? -76944 What comes next: 599405, 1198812, 1798219? 2397626 What comes next: -282, -524, -718, -846, -890? -832 What is next in 1601, 1588, 1549, 1472, 1345, 1156, 893, 544? 97 What is the next term in 3057, 6281, 9519, 12777, 16061, 19377, 22731, 26129? 29577 What is the next term in -112, -826, -2750, -6490, -12652? -21842 What is the next term in 185, 166, 143, 122, 109, 110? 131 What is the next term in -74, -197, -342, -521, -746? -1029 What comes next: -2494, -10029, -22586, -40165, -62766, -90389, -123034? -160701 What comes next: 1047, 2090, 3125, 4152, 5171? 6182 What is next in 1204, 1412, 1620, 1828, 2036? 2244 What comes next: 47876, 47870, 47860, 47846, 47828, 47806, 47780? 47750 What is next in 386019, 772038, 1158057, 1544076? 1930095 What comes next: 127, 241, 339, 421, 487? 537 What comes next: -34, 92, 254, 458, 710? 1016 What is the next term in 555, 1107, 1677, 2271, 2895? 3555 What comes next: 913, 7131, 24007, 56869, 111045? 191863 What is next in 208652, 208639, 208626, 208613? 208600 What is the next term in -555, -1144, -1711, -2250, -2755, -3220? -3639 What is next in 2438, 2362, 2286, 2210, 2134, 2058? 1982 What is the next term in 3633, 7233, 10833, 14433, 18033? 21633 What is the next term in 1194, 2464, 3760, 5088, 6454? 7864 What comes next: -8209, -8218, -8225, -8230, -8233, -8234, -8233? -8230 What is next in 84, 209, 400, 651, 956, 1309, 1704? 2135 What is the next term in 20090, 20085, 20068, 20033, 19974, 19885? 19760 What is next in -6, 13, 68, 177, 358, 629, 1008, 1513? 2162 What is next in 101426, 202858, 304292, 405728, 507166, 608606? 710048 What is next in 365, 823, 1587, 2657, 4033, 5715? 7703 What is the next term in 358, 486, 618, 760, 918, 1098, 1306, 1548? 1830 What is the next term in 51, 184, 407, 726, 1147, 1676, 2319? 3082 What comes next: 240939, 481894, 722859, 963840, 1204843, 1445874? 1686939 What comes next: -1336, -1314, -1292, -1270, -1248, -1226? -1204 What is the next term in -46513, -93026, -139539, -186052, -232565? -279078 What is the next term in -231, -785, -1687, -2937, -4535, -6481, -8775? -11417 What comes next: 75129, 75096, 75045, 74976, 74889? 74784 What comes next: -472, -958, -1446, -1936, -2428, -2922? -3418 What is the next term in 131, 553, 1259, 2249, 3523, 5081? 6923 What comes next: 179993, 179994, 179997, 180002, 180009? 180018 What is the next term in -18749, -37507, -56271, -75041? -93817 What is the next term in -211, -266, -357, -502, -719, -1026, -1441? -1982 What is the next term in 1505, 1220, 753, 110, -703, -1680, -2815? -4102 What comes next: 163085, 326168, 489251, 652334, 815417, 978500? 1141583 What is the next term in -7195, -7102, -6947, -6730? -6451 What comes next: -11610, -11556, -11500, -11442, -11382, -11320? -11256 What is next in -580, -577, -568, -553, -532, -505, -472? -433 What comes next: 3347252, 3347250, 3347246, 3347240, 3347232, 3347222, 3347210? 3347196 What is next in -601, -2223, -4863, -8521, -13197, -18891, -25603? -33333 What is next in -7744, -7759, -7774, -7789, -7804? -7819 What is the next term in -86, -300, -600, -980, -1434, -1956, -2540? -3180 What comes next: 338, 657, 952, 1217, 1446, 1633, 1772? 1857 What is the next term in -186, -329, -484, -651, -830? -1021 What comes next: 7983, 31726, 71299, 126702, 197935? 284998 What is next in -3660, -7355, -11038, -14703, -18344? -21955 What is next in 197, 46, -367, -1174, -2507, -4498, -7279, -10982? -15739 What comes next: -78, -275, -604, -1065, -1658? -2383 What is next in -7665, -7675, -7685, -7695, -7705? -7715 What comes next: -1386, -2830, -4274, -5718, -7162, -8606? -10050 What is the next term in 87, 221, 401, 627, 899? 1217 What comes next: 8914, 8891, 8868? 8845 What is the next term in -558, -114, 624, 1656, 2982, 4602? 6516 What is the next term in 123, 143, 193, 279, 407? 583 What is the next term in 7772, 7546, 7178, 6674, 6040, 5282, 4406, 3418? 2324 What is next in -97, -36, 153, 536, 1179, 2148, 3509? 5328 What is next in 348, 2809, 9482, 22473, 43888? 75833 What comes next: 2056853, 4113708, 6170563? 8227418 What comes next: 27189, 27178, 27165, 27150, 27133, 27114? 27093 What comes next: -21897, -43828, -65759, -87690? -109621 What is the next term in 603, 1340, 2077, 2814, 3551, 4288? 5025 What is the next term in -1257, -1255, -1253, -1251, -1249, -1247? -1245 What is next in -150, -422, -804, -1290, -1874, -2550? -3312 What comes next: 478, 1891, 4250, 7555, 11806, 17003, 23146? 30235 What is the next term in 1878, 4754, 7628, 10500, 13370, 16238, 19104? 21968 What is the next term in 6239, 6223, 6189, 6131, 6043, 5919, 5753? 5539 What is next in -6581, -6558, -6521, -6470, -6405, -6326, -6233? -6126 What comes next: 111, 297, 577, 951? 1419 What is next in -6319, -6346, -6407, -6514, -6679, -6914, -7231, -7642? -8159 What comes next: 949, 1875, 2801, 3727, 4653? 5579 What comes next: 246, 555, 1392, 3021, 5706, 9711, 15300, 22737? 32286 What is the next term in 3621, 7201, 10781? 14361 What is next in -419948, -419952, -419958, -419966? -419976 What is next in -1573, -3049, -4347, -5377, -6049, -6273? -5959 What comes next: 403437, 806873, 1210309, 1613745? 2017181 What is the next term in -2757936, -2757938, -2757942, -2757948, -2757956, -2757966? -2757978 What is the next term in 685, 2712, 6091, 10822, 16905, 24340? 33127 What is the next term in 94, 206, 346, 514, 710, 934, 1186? 1466 What is next in -1695, -3393, -5097, -6807, -8523? -10245 What is next in -808, -507, -206, 95? 396 What comes next: 11100, 11140, 11180? 11220 What comes next: -2988, -2995, -3006, -3021, -3040, -3063? -3090 What comes next: 251673, 251684, 251695, 251706? 251717 What comes next: 35, 174, 383, 674, 1059? 1550 What is next in -950, -1885, -2836, -3809, -4810? -5845 What is next in 92629, 92627, 92615, 92587, 92537, 92459, 92347, 92195? 91997 What is the next term in -621, -622, -621, -618, -613? -606 What comes next: -7653, -7656, -7659? -7662 What comes next: -32924, -32814, -32694, -32558, -32400, -32214? -31994 What comes next: 452, 195, -36, -229, -372, -453, -460, -381? -204 What comes next: 749511, 749513, 749517, 749523? 749531 What is the next term in 1619564, 3239130, 4858696, 6478262? 8097828 What is the next term in 12206, 12203, 12200, 12197? 12194 What comes next: -788, -3127, -7028, -12491, -19516? -28103 What is the next term in -6342, -6380, -6418, -6456? -6494 What is next in -675836, -675837, -675838, -675839, -675840? -675841 What comes next: 321, 419, 583, 813, 1109? 1471 What is the next term in 328, 1351, 3056, 5443, 8512, 12263? 16696 What comes next: -4376, -8752, -13126, -17498? -21868 What is next in 1700, 3361, 5018, 6671, 8320, 9965? 11606 What is the next term in -716, -730, -752, -782, -820, -866, -920? -982 What is the next term in 811, 1393, 2357, 3703, 5431? 7541 What comes next: 829, 835, 839, 841, 841, 839? 835 What comes next: -281, -315, -353, -389, -417, -431, -425? -393 What is the next term in 32391, 32375, 32351, 32319, 32279, 32231? 32175 What comes next: 1304, 1286, 1218, 1076, 836, 474, -34, -712? -1584 What is next in -24457, -97882, -220267, -391618, -611941? -881242 What comes next: 1077, 2082, 3089, 4098, 5109, 6122? 7137 What is next in -2398, -4795, -7192? -9589 What comes next: 553, 553, 551, 547? 541 What comes next: -4810, -19178, -43132, -76678, -119822, -172570? -234928 What is next in -292893, -292891,
{ "pile_set_name": "DM Mathematics" }
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3. -891 + 180*sqrt(2) Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)). 3*sqrt(19) + 1557 Simplify 1*(-1 + 3*sqrt(176))**2. -24*sqrt(11) + 1585 Simplify sqrt(26)/sqrt(50)*2. 2*sqrt(13)/5 Simplify (-2*(0 + sqrt(252)))**2. 1008 Simplify (sqrt(304) + 5 - sqrt(190)/sqrt(250)) + 2. 7 + 19*sqrt(19)/5 Simplify (sqrt(12)*2 + 0)*-2. -8*sqrt(3) Simplify (1*(sqrt(27) + 2*sqrt(27)))/(-4*sqrt(36)/sqrt(4)). -3*sqrt(3)/4 Simplify ((sqrt(3) - (sqrt(3) + -3 + 4)) + 0 + -5)**2. 36 Simplify -1*sqrt(38)/sqrt(2)*-5. 5*sqrt(19) Simplify (sqrt(3024)*-2)/(sqrt(30)/(sqrt(40)/sqrt(4))). -24*sqrt(7) Simplify 4 + ((sqrt(38) - (-2*sqrt(190) + sqrt(190) - sqrt(190))/sqrt(5) - sqrt(38))/sqrt(2))**2. 80 Simplify (sqrt(180)/(-2*sqrt(6)))/sqrt(6). -sqrt(5)/2 Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-6)/((sqrt(84)/sqrt(3))/sqrt(4)))**2. 1859 Simplify 2*((sqrt(26)/(sqrt(8)/sqrt(4)))**2 + sqrt(13)). 2*sqrt(13) + 26 Simplify -3*sqrt(3328). -48*sqrt(13) Simplify ((sqrt(143) - 3*sqrt(143))/sqrt(11) - sqrt(13))**2 - sqrt(416)/sqrt(8). -2*sqrt(13) + 117 Simplify -5 + (4*(sqrt(2) + 0) - sqrt(2)) + sqrt(2) + 1. -4 + 4*sqrt(2) Simplify (sqrt(68) + 2 - sqrt(17)) + 3. sqrt(17) + 5 Simplify (1*sqrt(3)*3 + (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -1)**2. -10*sqrt(3) + 76 Simplify 2*(sqrt(52) + -3). -6 + 4*sqrt(13) Simplify sqrt(117)/(3*sqrt(108)/sqrt(12))*5. 5*sqrt(13)/3 Simplify -6*((sqrt(700)*-2 + sqrt(700))**2 + (sqrt(28) - sqrt(28)*-1) + sqrt(7)). -4200 - 30*sqrt(7) Simplify sqrt(133)/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(5)). sqrt(19)/2 Simplify (1*sqrt(2) + -2)**2 + 4. -4*sqrt(2) + 10 Simplify ((sqrt(33)*3 - sqrt(33))*-1)/sqrt(3). -2*sqrt(11) Simplify -1 + (sqrt(130) + -3*-3*sqrt(130))/sqrt(10). -1 + 10*sqrt(13) Simplify ((-2*sqrt(351))/sqrt(9))/(sqrt(3) - sqrt(36)/sqrt(48)). -4*sqrt(13) Simplify 3 + -2*sqrt(19) - (sqrt(1900) + 2 + sqrt(1900) - sqrt(19)). -21*sqrt(19) + 1 Simplify sqrt(325)*-5 - (sqrt(637) + 2)**2. -641 - 53*sqrt(13) Simplify (2*(sqrt(39) + sqrt(156)/sqrt(4)) - sqrt(39))/((sqrt(66)/sqrt(2))/sqrt(11)). 3*sqrt(13) Simplify sqrt(11) + 2 + 3 + sqrt(11) + (-4*sqrt(176) + sqrt(11))**2 + sqrt(11). 3*sqrt(11) + 2480 Simplify (sqrt(72)*-1 - sqrt(18))/sqrt(6). -3*sqrt(3) Simplify 3 + sqrt(20)*-5. -10*sqrt(5) + 3 Simplify sqrt(20)/sqrt(40) + -5. -5 + sqrt(2)/2 Simplify -3 + (sqrt(27) + -3*sqrt(27))**2. 105 Simplify -3 + sqrt(70)/sqrt(490). -3 + sqrt(7)/7 Simplify (2*sqrt(17) + 3)*6. 18 + 12*sqrt(17) Simplify (sqrt(351)/sqrt(3) + -4 + 4)**2. 117 Simplify (sqrt(7) + 3 + 4)*-2 + 0. -14 - 2*sqrt(7) Simplify (3*sqrt(637) - sqrt(637) - sqrt(637)) + 4*sqrt(1872). 55*sqrt(13) Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2. 600*sqrt(17) + 61225 Simplify ((sqrt(88) - 2*sqrt(88))*-6)/sqrt(8). 6*sqrt(11) Simplify ((sqrt(425) + -1)*-5)**2 + -3. -250*sqrt(17) + 10647 Simplify -5 + ((sqrt(10)*3)/sqrt(2))**2. 40 Simplify ((sqrt(448) + sqrt(7))*-6*-1)**2. 20412 Simplify ((sqrt(30)/sqrt(6))**2 + 1)*-2. -12 Simplify -1 + (sqrt(637) + (1 + sqrt(637) - sqrt(637)) - 5*(sqrt(52) - sqrt(13))**2). -65 + 7*sqrt(13) Simplify sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(7) + -2 + 4 - sqrt(7))**2 + -5. -1 + 3*sqrt(7) Simplify (-5 + 1*(-4 + (sqrt(44) - sqrt(11)) - sqrt(11)))**2. 81 Simplify (sqrt(168)/(sqrt(32)/sqrt(4)))/(sqrt(7) + sqrt(63)*-5). -sqrt(3)/14 Simplify -4*(sqrt(28)/sqrt(4))**2*-1. 28 Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3). 12*sqrt(3) + 972 Simplify sqrt(15)/sqrt(80). sqrt(3)/4 Simplify (sqrt(26)*-2)/sqrt(2) + -3 + 0. -2*sqrt(13) - 3 Simplify 2 + 2 + (sqrt(3) - sqrt(24)/sqrt(512))**2. 403/64 Simplify (-2*(-5 + sqrt(1900)*-2*6 + sqrt(1900)))**2. 4400*sqrt(19) + 919700 Simplify (-3 + sqrt(192)*2)**2*-4. -3108 + 384*sqrt(3) Simplify sqrt(85)/(sqrt(5) + (sqrt(560) - sqrt(35))/sqrt(7)). sqrt(17)/4 Simplify (sqrt(102) + 4*4*sqrt(102))/(sqrt(6) + sqrt(36)/sqrt(24)). 34*sqrt(17)/3 Simplify (sqrt(5) - (1 + sqrt(5))) + 4 + sqrt(35)/(sqrt(14)/sqrt(2)). sqrt(5) + 3 Simplify (2*sqrt(56)*-1)/(sqrt(8) + sqrt(16)/sqrt(8)). -4*sqrt(7)/3 Simplify ((3*sqrt(1100) - sqrt(1100))*2)**2 + sqrt(1100) + -1*(sqrt(1100) - (sqrt(1100)*2)**2). 22000 Simplify sqrt(26)/(sqrt(242) + 2*sqrt(242) + sqrt(242) + sqrt(2)). sqrt(13)/45 Simplify ((sqrt(77) + -3*sqrt(77))*-6 + sqrt(77) + sqrt(77))/sqrt(7). 14*sqrt(11) Simplify -3*((sqrt(152) - sqrt(152)*2*2)/(sqrt(8) + (sqrt(96)*2)/sqrt(12)))**2. -57 Simplify ((-3 + sqrt(108))**2 + sqrt(3))*-2. -234 + 70*sqrt(3) Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5. 84505 Simplify -4 + sqrt(432) + 5 + (1 + sqrt(432) - sqrt(432))**2. 2 + 12*sqrt(3) Simplify 5*sqrt(36)/(sqrt(12)*-2). -5*sqrt(3)/2 Simplify (2*sqrt(1100))**2 + -1 + -4. 4395 Simplify -5 + 4*sqrt(176)*-5. -80*sqrt(11) - 5 Simplify (sqrt(11) - (-1 + sqrt(275) - sqrt(11)) - ((sqrt(11) + -1)**2 + -2)) + (sqrt(1584) + 1 + sqrt(1584) + -1)**2. -sqrt(11) + 6327 Simplify (sqrt(133) - (2*sqrt(133) + sqrt(133)))/sqrt(7) - sqrt(19) - (sqrt(152)*-3)/sqrt(8). 0 Simplify (4 + 1*(sqrt(5)*-3 + -5))**2. 6*sqrt(5) + 46 Simplify (sqrt(117))**2 + -1 + (sqrt(91)*1 - sqrt(91) - sqrt(91))/sqrt(7) - (sqrt(1872) - (1 + sqrt(1872) + -3))**2. -sqrt(13) + 112 Simplify (-2*-1*sqrt(44))/(sqrt(36)*5). 2*sqrt(11)/15 Simplify (sqrt(396) + 2)*5. 10 + 30*sqrt(11) Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)). -25344 - 8*sqrt(11) Simplify -1*sqrt(28) + sqrt(7) + -4. -4 - sqrt(7) Simplify sqrt(15)/(sqrt(5)*-2*3). -sqrt(3)/6 Simplify 3*sqrt(288) - (sqrt(16)*-2)/sqrt(8). 38*sqrt(2) Simplify (-2 + sqrt(2057) + -4)**2. -132*sqrt(17) + 2093 Simplify -3*(0 + sqrt(2) + 0). -3*sqrt(2) Simplify ((sqrt(88) - sqrt(88)*1)*4)/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)/sqrt(3) + sqrt(8))))). 0 Simplify ((2*sqrt(520))/sqrt(10))/(sqrt(36)/(sqrt(36)/sqrt(4) + sqrt(9))). 4*sqrt(13) Simplify 3*(sqrt(1872) - (2*sqrt(1872) - sqrt(1872)))*6*-4. 0 Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*1 - sqrt(85))) - sqrt(85))))/(1*sqrt(500)). -sqrt(17)/10 Simplify (-2 + sqrt(275) - sqrt(11)) + (sqrt(33)/sqrt(27) + sqrt(11))**2. 4*sqrt(11) + 158/9 Simplify (sqrt(78)*1*-4 - sqrt(78))/((sqrt(150)/sqrt(5))/sqrt(5)). -5*sqrt(13) Simplify 2*(6*(sqrt(320) + 0)*6)**2. 829440 Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136))*-4)/(sqrt(48)/sqrt(96)). -96*sqrt(17) Simplify (5*(sqrt(147) - (sqrt(147) + (2*sqrt(147) - sqrt(147))))*1)**2. 3675 Simplify (5*(sqrt(132) + (sqrt(132) - ((-5*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))))/sqrt(12) + 1. 1 + 40*sqrt(11) Simplify (sqrt(66)/(sqrt(6)*4))**2 + -2. -21/16 Simplify (-1 + sqrt(11) + -5)**2 + -4. -12*sqrt(11) + 43 Simplify sqrt(55)/(sqrt(11) + 2*sqrt(539)) + -2. -2 + sqrt(5)/15 Simplify (((sqrt(700) + -1)**2 - sqrt(700)) + 4)*-1. -705 + 30*sqrt(7) Simplify 1*(sqrt(396)/sqrt(4) - sqrt(11)). 2*sqrt(11) Simplify ((sqrt(99)*3 - sqrt(44)*5)*1)**2. 11 Simplify -3 + 2 + sqrt(76)/sqrt(4) + -4. -5 + sqrt(19) Simplify sqrt(170)/((2*sqrt(60))/sqrt(6)). sqrt(17)/2 Simplify (-3 + sqrt(32) + sqrt(4)/sqrt(2) + 5 + 1)**2. 30*sqrt(2) + 59 Simplify ((sqrt(1872) - (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872)))) + sqrt(1872))/sqrt(4). 12*sqrt(13) Simplify 1 + (sqrt(42)*-1*5)/sqrt(6). -5*sqrt(7) + 1 Simplify (2*(sqrt(70) - -2*sqrt(70)))/(sqrt(10) - sqrt(80)/sqrt(32)). 12*sqrt(7) Simplify (-2 + -2 + sqrt(19)*-2)**2 + sqrt(152)/(sqrt(8) - (sqrt(8) - -4*-1*sqrt(8)) - sqrt(8)). 49*sqrt(19)/3 + 92 Simplify ((0 + sqrt(320) + -1)**2 + -4)*6. -96*sqrt(5) + 1902 Simplify (sqrt(45)*-2*1)/(sqrt(9) + sqrt(81)*3 + sqrt(9) + sqrt(9)). -sqrt(5)/6 Simplify 1*-1*sqrt(5)*2 + -4. -2*sqrt(5) - 4 Simplify sqrt(76)*1 + 0. 2*sqrt(19) Simplify (6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) - sqrt(3)))**2. 18252 Simplify ((sqrt(2) - -4*sqrt(8)/sqrt(4)) + sqrt(2))**2 + sqrt(36)/sqrt(2). 3*sqrt(2) + 72 Simplify (sqrt(77)/(-2*sqrt(11)))**2 - (-2*sqrt(84))/sqrt(12). 7/4 + 2*sqrt(7) Simplify (sqrt(121) - (sqrt(121) - (2*(sqrt(121) - 1*sqrt(121)) + sqrt(121))))/(sqrt(539)*-1). -sqrt(11)/7 Simplify sqrt(60)/(sqrt(12) - sqrt(768)) + 0. -sqrt(5)/7 Simplify (-4 + sqrt(200))**2 + (sqrt(2) - (sqrt(2) - (3*sqrt(2) + -2)**2)). -92*sqrt(2) + 238 Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))/sqrt(10)))
{ "pile_set_name": "DM Mathematics" }
l? False Which is smaller: -991/58 or -17? -991/58 Which is greater: -2/264491 or 1? 1 Which is bigger: -6.4 or -20387? -6.4 Is 2/11 >= -312/67? True Which is greater: -223329 or 1? 1 Are 26319 and 26320 nonequal? True Which is bigger: -1/7 or -609034? -1/7 Which is smaller: -10865 or -11? -10865 Which is smaller: -556 or 267? -556 Which is bigger: -172 or -409? -172 Is 3147 > 3148? False Is 12275 > 1/8? True Does -36/15865 = -1? False Which is smaller: 386 or 203? 203 Which is greater: 427563/7 or 61080? 427563/7 Which is greater: 69786/25 or 2792? 2792 Is -2242783 greater than -2242782? False Are 773485/9 and 85942 unequal? True Is 0.1 <= 345/686? True Which is smaller: -1 or -29/8567? -1 Which is smaller: 289515 or 289510? 289510 Which is smaller: -2/53749 or 1? -2/53749 Is 4295 at least as big as 4292? True Which is bigger: 29 or -870? 29 Are 57139/14 and 4082 nonequal? True Which is smaller: -801 or -736? -801 Which is bigger: 15819/418 or 37? 15819/418 Which is smaller: 5/2903 or 2? 5/2903 Are 3101 and 3102 non-equal? True Which is smaller: 64/13 or -18/31? -18/31 Which is greater: 2/3 or 193966? 193966 Is -9/3844 < 1? True Which is smaller: 0 or -22/126227? -22/126227 Is 7202 less than or equal to 194426/27? False Is -7455 != -7453? True Do 6/325 and -62 have different values? True Is -39/2695 > -2? True Is 869034/5 > 173807? False Which is greater: 1313.1 or -23? 1313.1 Is -5.9462 greater than or equal to -0.1? False Is 192065/12 > 16004? True Which is smaller: -2/6811 or -16? -16 Which is smaller: 2/5 or 16993? 2/5 Which is smaller: 128 or 211? 128 Which is smaller: 50/2437 or 0? 0 Do 348 and 352 have different values? True Which is smaller: -13909 or -14029? -14029 Which is bigger: 45 or -3104/5? 45 Is -244 smaller than -18? True Which is bigger: 13079 or 13072? 13079 Which is bigger: 52006 or 52011? 52011 Is -0.11 greater than or equal to 146703? False Which is greater: 0.586324 or 3? 3 Are 0 and -1/656758 equal? False Which is smaller: -1 or -12/68587? -1 Is 606 at most 394? False Is -373056 bigger than -373054? False Which is smaller: -1/345559 or -1? -1 Are -50046 and -50048 unequal? True Is -105776 at most as big as -105775? True Which is bigger: -27 or -3/196? -3/196 Is 45781 != 45781? False Are 3/7 and 48.5 unequal? True Is 0.118838 not equal to -1? True Is 644 at least as big as 10932/17? True Is -1/645 smaller than 395? True Which is greater: -59967 or -59966? -59966 Which is bigger: 6 or -84.437? 6 Is 2921/51 < 57? False Do -86941 and -86938 have different values? True Are 0 and 72/7981 non-equal? True Which is smaller: 0.001 or -41/4? -41/4 Which is greater: 8411/15 or 562? 562 Is 339418 smaller than 1697097/5? True Is 33/23404 at least as big as 1? False Is -1 != 147/8206? True Is -14/33415 less than 0? True Which is greater: 5525 or 5529? 5529 Is 1/1446501 at most as big as -1? False Which is greater: -1 or -1/35900? -1/35900 Is -398338 bigger than -398338? False Which is smaller: 1632 or 1640? 1632 Is -2041.96 <= -2/7? True Do 0 and 7/45415 have the same value? False Is 4 smaller than -41/48? False Which is smaller: -11 or -419? -419 Which is greater: -1 or -3/10160? -3/10160 Which is bigger: -24596 or 4? 4 Which is bigger: 211124/3 or 0? 211124/3 Is -6.224 at most 0.5? True Is 1511659 equal to 1511659? True Which is smaller: -91124/7 or 0.7? -91124/7 Is -640 equal to -21? False Which is smaller: 121824 or 121791? 121791 Which is smaller: 264272/101 or 2617? 264272/101 Which is bigger: 1384 or 1385? 1385 Which is greater: 61/5 or 0.2064? 61/5 Is -82643 at least as big as -82648? True Which is bigger: 1 or 68/37101? 1 Which is smaller: -504222 or -504224? -504224 Do 14.315 and -4.55 have different values? True Is 1 bigger than -1/184008? True Which is smaller: 1897 or 1910? 1897 Is -1055 smaller than -370? True Is -44899 > -44912? True Is -1 not equal to 13.6481? True Is 141439 bigger than 141440? False Which is smaller: -1 or -21213? -21213 Which is smaller: -284/4503 or 1? -284/4503 Is -164 greater than 3? False Is 2056704 equal to 2056705? False Is 386/10347 at least 0? True Which is greater: 81/226 or 0? 81/226 Which is smaller: 0 or -52/15167? -52/15167 Is -13/3 less than 804/31? True Is -12837 < -12845? False Which is bigger: -79700 or -79712? -79700 Is -0.1 equal to -2612197? False Is 2252 greater than 2555? False Are -477 and 427 non-equal? True Which is greater: -5513 or -11? -11 Which is smaller: 3 or -6/39395? -6/39395 Are 40 and 9635/234 non-equal? True Is -69418 not equal to -69419? True Is 121457 <= 364369/3? False Which is smaller: 26985 or 11? 11 Which is smaller: 44371 or 0.3? 0.3 Which is smaller: 13188 or 13220? 13188 Is -480/61 equal to -1/76? False Which is smaller: 4543 or -11? -11 Which is greater: 0 or -6/171617? 0 Which is smaller: -30.139 or -18/11? -30.139 Are 1 and -243/8425 equal? False Which is greater: -11538.34 or -0.1? -0.1 Which is smaller: 6034 or 42243/7? 6034 Is -2/3 at least as big as -2500290? True Is 15257/27 <= 564? False Does 23811 = 23825? False Is -2134921 <= -2134918? True Are -0.046 and -426 non-equal? True Which is smaller: 0 or -220/449? -220/449 Are 22 and -14777 nonequal? True Is -10195579 not equal to 0.1? True Is 5749 < -5.7? False Which is smaller: -729/19619 or 0? -729/19619 Is -14787 > -14795? True Are -2065 and -14463/7 nonequal? True Is 197487/10 equal to -2? False Which is smaller: 772 or 25? 25 Is -104/136817 smaller than 0? True Which is smaller: 73086/17 or 4300? 73086/17 Which is greater: -4600 or -4597? -4597 Is -0.0738 less than or equal to 714? True Which is smaller: -233 or 466? -233 Which is smaller: -22 or -1538? -1538 Are 2290 and 2380 unequal? True Is 11.1 bigger than -1569? True Do -3680523 and -3680524 have the same value? False Which is smaller: -3/2383252 or -1? -1 Which is smaller: -93813/7 or -13401? -93813/7 Which is greater: 5854929/4 or 1463733? 1463733 Is -24053 bigger than -24054? True Which is bigger: -14385 or -14352? -14352 Which is greater: 0 or 7/1609? 7/1609 Is -2656284 at least as big as -2656284? True Is 1/1340767 <= 0? False Which is smaller: -1/324384 or 0? -1/324384 Which is smaller: 2949 or 2547? 2547 Is 12671 at least 139369/11? True Which is bigger: -108146 or -108155? -108146 Is 78156 != 78158? True Is -3275420 at least as big as -3275419? False Is 102361 >= 102357? True Which is smaller: -1300384/5 or -260077? -260077 Which is smaller: -10.2 or -358? -358 Is -20726 at least as big as -20719? False Which is bigger: 10621 or 10616? 10621 Is -74 greater than or equal to -79? True Is 86040 bigger than 86041? False Is -6570 <= -6569? True Is -58/23759 at most as big as 0? True Which is smaller: 7749/16 or 483? 483 Which is smaller: 19319/5 or 3865? 19319/5 Is 5/1032 >= 0? True Is 115/4311 <= -1? False Which is greater: -3254 or -289510/89? -289510/89 Is -889292/7 <= -127043? False Which is smaller: -491428 or -491427? -491428 Which is bigger: -43270 or -43276? -43270 Does -389958 = -389957? False Which is smaller: 19 or -75/107? -75/107 Is 4465308 less than or equal to 4465306? False Is -22755 < 41? True Is 365 > 129? True Is 6288455 greater than 6288455? False Is -11760 greater than or equal to -11852? True Is -35678/11 at most -3242? True Is -1170/1213 bigger than -2? True Which is greater: 0.00817881 or -1? 0.00817881 Is 0.532812 < 1? True Which is bigger: -139 or -728? -139 Is 17660 less than or equal to 17659? False Which is greater: 16/7661 or -1? 16/7661 Which is smaller: -2150 or -2148? -2150 Do 0.18 and 29.135 have the same value? False Is 11/31133 equal to 0? False Which is bigger: -0.0365 or 2/3? 2/3 Is -57662 at least as big as -57661? False Does 0.21 = 249? False Which is smaller: 136/66383 or 1/4? 136/66383 Which is smaller: 52536/277 or 189? 189 Is -2/3 at least as big as 40031? False Which is bigger: -512625 or -512624? -512624 Which is bigger: -2124 or -2101? -2101 Which is bigger: 2/11 or 23226? 23226 Is 3 > 4188/2323? True Which is smaller: 1 or -8/3881? -8/3881 Which is bigger: -1085 or -1095? -1085 Which is bigger: 11697 or 11566? 11697 Is -1 at least as big as -10/238953? False Which is greater: -41549 or -41548? -41548 Which is smaller: -157 or 0.561? -157 Is 1 equal to -4707111? False Which is bigger:
{ "pile_set_name": "DM Mathematics" }
*r**2 - 9. Calculate the remainder when a(5) is divided by 19. 15 Suppose 4 = 5*j - p, -2*j + 4 = j - p. Suppose j = -y + o + 51, -3*y + 2*y + 63 = 2*o. What is the remainder when y is divided by 19? 17 Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remainder when t is divided by 5. 4 Suppose 5*d + 18 = 8*d. What is the remainder when 2/6 + 280/6 is divided by (d/(-9))/(1/(-24))? 15 Let c = 22 - 7. Suppose 3*u = c + 3. What is the remainder when u is divided by 2? 0 Let f be -1 + 1/(2/(-12)). Let g = -5 - f. Calculate the remainder when 2 is divided by g. 0 Let a = 18 + -25. Let i(j) = j + 8. Let n(h) = -h**2 + 6*h + 8. Calculate the remainder when i(a) is divided by n(7). 0 Let g be (((-12)/(-3))/(-2))/(-1). Suppose 5*s - g*s - 39 = 0. Calculate the remainder when 37 is divided by s. 11 Let b(u) = -u**3 - 5*u**2 - 3*u - 7. Let k be b(-5). What is the remainder when ((-2)/4)/(k/(-224)) is divided by 5? 4 Suppose -5*l + 3*p = -2*p - 690, -4*l + 552 = -2*p. Calculate the remainder when (3/(-2))/((-3)/l) is divided by 24. 21 Let l = 4 + -3. Suppose -q = -l - 1. Calculate the remainder when 4 is divided by q. 0 Let v(l) = -l**3 + 9*l**2 - 5. Let r be v(9). Let c(x) = -x**2 - 6*x + 4. What is the remainder when 16 is divided by c(r)? 7 Suppose 5*j + 49 - 219 = 0. What is the remainder when 66 is divided by j? 32 Let n(p) = -p**3 - 8*p**2 - 2*p + 9. Let b(w) = -w + 1. Let a be b(7). Let k(z) = z**3 + 5*z**2 - 9*z - 5. What is the remainder when n(-8) is divided by k(a)? 12 Suppose -5 = -4*f + 43. Suppose 2*p + 3*p = 165. Calculate the remainder when p is divided by f. 9 Let z be (-15)/(-10)*(-14)/(-3). What is the remainder when 20 is divided by (z/4)/(3/12)? 6 What is the remainder when 2 - 0 - (-111 - -5) is divided by 28? 24 Let d(f) = f + 4. Let b be d(3). Let v(x) = x**3 - 2*x + 1. Let m be v(2). Let g = m + b. Calculate the remainder when 35 is divided by g. 11 Calculate the remainder when -115*(2 - (-84)/(-30)) is divided by 33. 26 What is the remainder when (39/9 + 1)*(-6)/(-4) is divided by 5/((-1 - 1) + 3)? 3 Let u = 2 - 0. Suppose -u*w = -7*w + 70. Calculate the remainder when 25 is divided by w. 11 Let r = -136 - -501. Suppose 0 = -10*v + 5*v + r. Calculate the remainder when v is divided by (-1 - 0 - 0) + 20. 16 Suppose 8 = x + 1. Suppose -131 - 194 = -5*i. Suppose 2*n - x*n + i = 0. What is the remainder when 37 is divided by n? 11 Let j = 56 - 46. What is the remainder when 19 is divided by j? 9 Calculate the remainder when (-12)/4 + (-208)/(-2) is divided by 26. 23 Suppose -18*s + 22*s - 568 = 0. What is the remainder when s is divided by 18? 16 Let q be (-4)/4 + 0 - -3. Suppose -3*x + 23 = q*b - 19, 0 = -2*x + 3*b + 41. What is the remainder when x is divided by 9? 7 Suppose 4*f - 44 = -8. What is the remainder when 13 is divided by f? 4 Let l(v) = 119*v**2 - 1. What is the remainder when l(-1) is divided by 17? 16 Let h be (-2)/(-3) - (-813)/9. Let r = 53 - 105. Let b = h + r. Calculate the remainder when b is divided by 10. 9 Calculate the remainder when 33 is divided by (-100)/(-55) + -2 + 134/11. 9 Let o(m) = m - 16. Calculate the remainder when 15 is divided by o(19). 0 Suppose -4 - 141 = -5*u. Let p = u + -2. What is the remainder when p is divided by 7? 6 Suppose -4*r + 0*r + 40 = 0. What is the remainder when 17 is divided by r? 7 Let s be 2/8 + 7/(-28). Suppose s = -4*c + 16 + 8. Suppose 3*h = c + 24. What is the remainder when h is divided by 6? 4 Let q(s) = s**3 - 6*s**2 + 3*s - 5. Suppose -5*a = -a - 24. What is the remainder when 25 is divided by q(a)? 12 What is the remainder when (132/(-154))/((-6)/28) is divided by 3? 1 Suppose 0 - 2 = z, -3*z = -3*l + 30. What is the remainder when 22 is divided by l? 6 Suppose c + 8 = v, 3*c - 4 = -v + 6*c. Calculate the remainder when v is divided by 8. 2 Suppose r + n - 65 = 5*r, 4*r + 3*n = -61. Let x = 43 + r. Calculate the remainder when 53 is divided by x. 26 Suppose 0 = -5*m - 4*g + 89, 2*m - 3*g + 0*g - 54 = 0. Let l(k) = 9*k - 9. What is the remainder when l(10) is divided by m? 18 Suppose -4*l + 9*l - 11 = 3*h, 5*h + 4*l + 80 = 0. Let s = -8 - h. Suppose -6*k - 15 = -k, s*j + 2*k - 66 = 0. What is the remainder when j is divided by 10? 8 Calculate the remainder when (64 - 7) + (0 - (1 + -3)) is divided by 5. 4 Let r(t) be the second derivative of -11*t**3/6 + 5*t**2/2 + 8*t. Calculate the remainder when r(-6) is divided by 18. 17 Let o(h) = 26*h + 2. Let x(q) = 13*q + 1. Let r(k) = 3*o(k) - 5*x(k). Let s(p) = 2*p**2 - 12*p. Calculate the remainder when r(4) is divided by s(7). 11 Let l = 61 - 49. What is the remainder when 130 is divided by l? 10 Suppose -2*k + 3 = 11. What is the remainder when ((-114)/k)/(3/4) is divided by 13? 12 Suppose n + 3*r + 2*r - 42 = 0, -5*n - 5*r = -210. Calculate the remainder when n is divided by 9. 6 Let z(y) = -1 - y + y + 2*y. What is the remainder when z(7) is divided by 5? 3 Suppose 90 = 4*q + 5*q. What is the remainder when 27 is divided by q? 7 Let f(w) = 10*w**2 + 2*w - 1. Let p = 1 + 0. Calculate the remainder when f(p) is divided by (-2)/(-10) - (-38)/10. 3 Suppose -103 = -5*z + 127. Calculate the remainder when (9 + -5)*z/4 is divided by 12. 10 Let j be 0*(0 + 3/6). Let p = 10 + j. Calculate the remainder when p is divided by 2/((-6)/(-4) - 1). 2 What is the remainder when 23 is divided by (-7)/(2*(-3)/6)? 2 Suppose 16*a - 446 = -78. What is the remainder when 41 is divided by a? 18 Let o(k) = -k**2 + 3*k - 6. Let j(a) = -2*a**2 + 3*a - 5. Let s(m) = -2*j(m) + 3*o(m). Calculate the remainder when s(3) is divided by (-1)/(-3) + 34/6. 4 Suppose 0*c + 3*c = 12. Suppose c*g - 68 = 3*b, -4*g + 7 = 5*b - 61. Calculate the remainder when 32 is divided by g. 15 Let h(x) = 4*x - 4. Let g = -19 + 66. What is the remainder when g is divided by h(4)? 11 Let v(f) = 0*f**3 - 3*f**2 + 2 + 9*f**2 + 2 - f**3. What is the remainder when v(5) is divided by 10? 9 Suppose -2*a + 63 = -0*a + 5*m, 5*m + 70 = 5*a. What is the remainder when 55 is divided by a? 17 Suppose 6 + 249 = 5*j. What is the remainder when j is divided by 11? 7 Suppose 3*v - z = 5*v - 23, 5*v - 47 = z. What is the remainder when v is divided by (-5 + -1)*6/(-9)? 2 Let m(h) be the first derivative of -h**4/4 - 5*h**3/3 + 3*h**2/2 - 4*h + 1. Suppose 5*n - 54 = 3*n. What is the remainder when n is divided by m(-6)? 13 Calculate the remainder when 25*((0 - 0) + 1) is divided by 5. 0 Let p = 172 + -119. Let b(r) = -r**3 + 4*r - 3 + 3*r**3 - 8*r**2 + 0*r**2 + 3*r**2. What is the remainder when p is divided by b(3)? 17 Let q = 7 - 4. Calculate the remainder when 14 is divided by q. 2 Calculate the remainder when (11/22)/(((-6)/(-436))/3) is divided by 37. 35 Let r(x) = -34*x - 2. Calculate the remainder when r(-1) is divided by 17. 15 Suppose 4*h + 17 = p + 4, 3*p = h + 6. Let v(z) = 3*z**2 - 17*z - 40. What is the remainder when v(-3) is divided by (2 + (-32)/6)*h? 8 Suppose -4*t - 10 = -2*i, i + 17 = 4*i - 5*t. Let h = -11 + 25. Suppose 0 = -2*y + h + 18. Calculate the remainder when y is divided by i. 7 Suppose -5*k + 107 = 622. Let y = 62 + k. Let z = -23 - y. Calculate the remainder when z is divided by 10. 8 Suppose 8 = -5*n - 2, 3*m + n - 31 = 0. Calculate the remainder when m is divided by 8. 3 Let b be (-9)/6*(-222)/(-9). Let d = -25 - b. Calculate the remainder when 33 is divided by d. 9 Suppose -2*r = -14 - 8. Calculate the remainder when (13/3)/((-1)/(-6)) is divided by 6 + 0 + -3 + r. 12 Suppose -4*p = -2*j + 20 + 2, 0 = 4*p. What is the remainder when 42 is divided by j? 9 Let z = -42 + 70. What is the remainder when z is divided by (-42)/(-5) + 8/(-20)? 4 Let g be 2968/40 - (-2)/(-10). Suppose -s + g = s. Calculate the remainder when s is divided by 13. 11 Let v(b) = 4*b. Let o be v(1). Suppose -z = 3*z + o, -3*y + 4*z = -13. Calculate the remainder when y is divided by 3. 0 Suppose 0*n + 2*y = -5*n + 1266, 2*n = -4*y + 516. Let g = -177 + n. Suppose m - g = -4*m. Calculate the remainder when 43 is divided by m. 13 Suppose -11*t + 8*t = -84. What is the remainder when 111 is divided by t? 27 Suppose o - 116 = -3*o. Let n be (-248)/(-14) + 2/7. Let y = -8 + n. What is the remainder when o is divided by y? 9
{ "pile_set_name": "DM Mathematics" }
6). Let t = x - -149. What is the tens digit of t? 5 Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)? 2 Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j? 4 Suppose -77434 - 5922 = -14*k. What is the tens digit of k? 5 Suppose 3*u - 659 = -q, 4*u - 2264 - 396 = -4*q. What is the units digit of q? 8 Suppose -64*g = -68183 - 48873. What is the tens digit of g? 2 Let m = -14 - -20. Let o be 7/42 + (-313)/m. Let b = 5 - o. What is the units digit of b? 7 What is the units digit of (5604*1/(-8))/((-6)/28)? 9 Let s(q) = 11*q**2 + 2*q + 3. Let o be s(-2). Let g = o + 28. What is the units digit of g - 0/4 - -2? 3 Let o(j) be the first derivative of -3*j**4/2 - j**3/3 - j**2/2 - j - 3. Suppose -r = -3, 0*f - 2*r = -f - 7. What is the units digit of o(f)? 5 Suppose g + 3*g = -460. Let s = g - -182. What is the tens digit of s? 6 Let w(k) = 2*k - 2. Let a be w(1). Suppose g - 45 = 3*y, a = 4*g - 6*y + 3*y - 153. What is the tens digit of g? 3 Suppose -272 = 5*i - 1287. Suppose y + 6*v - i = 4*v, 5*v = y - 238. Suppose -4*l + 2*a + 217 - 55 = 0, 5*l = -a + y. What is the units digit of l? 2 Let s(m) = 13*m**3 + 2*m**2 - m. Let p(j) = 5 + 3*j + 3*j - 6*j - j. Let g be p(4). What is the units digit of s(g)? 4 Let y(d) be the second derivative of 31*d**3/6 - d**2 - 5*d. What is the units digit of y(1)? 9 Let p = -38 + 40. Suppose -p*d + 371 = 5*z, 0*d = 4*z - d - 289. What is the tens digit of z? 7 What is the tens digit of (-46)/(5/40*-1)? 6 Suppose -4*k + 4*w - w - 55 = 0, 0 = k + 2*w. What is the tens digit of (-85)/34*372/k? 9 Let w = 817 - 565. Suppose 27*x + w = 33*x. What is the tens digit of x? 4 Let l(z) = -38*z + 232. What is the hundreds digit of l(-32)? 4 Suppose 4*s = 3*y - 353, 0 = -y - 3*s + 30 + 92. Suppose 7 = -2*d + y. Suppose -4*h = -0*h - d. What is the units digit of h? 4 Let h(x) = x**2 + 3*x + 12. What is the tens digit of h(-4)? 1 Let q = -304 - -495. Let b = 322 - q. What is the hundreds digit of b? 1 Let t = 1094 - 599. Let x = t - 296. What is the tens digit of x? 9 Let j = 24 + -22. Let v be 0 + j - -3 - 1. Suppose -v*y = -2*y - 158. What is the tens digit of y? 7 Suppose -j + 10 = i, -j - 6 = i + 4*j. Let w(n) = n**2 - 7*n + 2. What is the hundreds digit of w(i)? 1 Suppose -149 = -4*b - 6*u + u, 0 = -3*u - 9. What is the units digit of b? 1 Suppose 622 = -11*a - 852. Let n = -109 - a. What is the tens digit of n? 2 Suppose -1482*g = -1476*g - 180. Let p = 1 + -1. Let n = p + g. What is the units digit of n? 0 What is the hundreds digit of 54/((-12)/16 - -1)? 2 Let j = -38 - -32. Let d be 0/(-3) + j/(-2). Suppose d = 3*f - 3*m - 108, 4*f - 3*m = 143. What is the units digit of f? 2 Suppose -18 = i + 5*t, -6*i + 12 = -5*i - t. Let f(p) = -p + 13. What is the units digit of f(i)? 6 Let y = 2503 + -1315. What is the tens digit of y? 8 What is the units digit of (-299316)/(-96) + (-5)/(-200)*5? 8 Let c(g) = 66*g**2 + g. Let j be c(1). Let n = j + -47. Suppose -r = 0, 0*r + n = 5*d + 3*r. What is the units digit of d? 4 Let p = 8 + -71. Let t = 107 + p. Let g = t - 15. What is the tens digit of g? 2 Let u(v) = 473*v**3 - 3*v**2 + 9*v - 23. What is the thousands digit of u(2)? 3 Let q = 675 - 423. What is the units digit of q? 2 Suppose 2*i - 5*j + 23 = -2*i, 5*j = 3*i + 21. What is the units digit of i/((-6)/15) + -3? 2 Suppose -8*l - 5*l = -5174. What is the hundreds digit of l? 3 Let b(r) = r**2 + 19*r + 901. What is the tens digit of b(0)? 0 Let b = 27 + -20. Let j = 9 - b. Suppose -j*f = 2*y - 32, -2*y + 3*f - 12 = -3*y. What is the tens digit of y? 1 Suppose 4*i = 2*i + 1422. What is the units digit of i? 1 Let y be 41 + ((-2)/(-1) - -1). Let x = y - -42. What is the units digit of x? 6 Suppose 2*x = -98 - 108. Let q = x + 148. What is the tens digit of q? 4 Suppose 2*c = -5*r + 1876, 0 = 3*c + 2*c + 10. What is the hundreds digit of r? 3 Let i(z) = z**3 + 2*z**2 + z - 2. Suppose j + 2 = -0. Let q be i(j). Let w = q + 11. What is the units digit of w? 7 Let n(d) = -d**3 + 13*d**2 - 12*d - 2. Let o be n(12). What is the units digit of ((-8)/o)/((-52)/(-3198))? 6 Let i = 10 - -360. What is the units digit of i? 0 Let p = 376 + -98. What is the units digit of p? 8 Let t = 85 - 135. Let d be (9/5)/(10/t). Let f(j) = -6*j - 13. What is the units digit of f(d)? 1 Let a = 126 - -262. Suppose -3*b + l = -557, 0 = -0*b - 2*b + 4*l + a. What is the units digit of b? 4 Let c(s) = s**3 - 13*s**2 - 2*s + 31. Let q be c(13). Suppose 4*t = -3*u + 307, -u = q*t + u - 389. What is the units digit of t? 9 Suppose 1470 = 7*q + 98. What is the tens digit of q? 9 Let k be (1 + 3)/(-4) + 5. Suppose k*h = 32 + 52. Suppose n - 3 = h. What is the tens digit of n? 2 Let a(x) = -311*x**2 - 2*x. Let b(k) = -155*k**2 - k. Let m(u) = -3*a(u) + 5*b(u). What is the units digit of m(-1)? 7 Let w(x) = -35*x + 1. Let d(c) = c**3 + 6*c**2 + 6*c + 6. Let m be d(-5). Let i be w(m). Let r = 100 + i. What is the tens digit of r? 6 Suppose 16*i = 3*h + 19*i - 5511, -5*i - 7348 = -4*h. What is the tens digit of h? 3 Suppose 62 = -l - 4*s, 42 = 3*l - 4*l + s. Let h be 6 + (-1 - (8/4 - -4)). What is the tens digit of (-2 - h)/(2/l)? 2 Suppose 14*c - 8579 = -9*c. What is the tens digit of c? 7 Let f = 23 - 21. Suppose f*v + 3 = 117. What is the units digit of v? 7 Let n be 0 + 3 + -2 - -3. Suppose -2*u + n*u = 60. What is the units digit of 10/u*15*1? 5 Let h = -144 + 259. Let k = h - 69. What is the tens digit of k? 4 Let b(v) = -6*v - 4. Let i be b(4). What is the units digit of 36/21 - 8/i? 2 Suppose 3*t - 10053 = n, -n = 4*n + 15. What is the tens digit of t? 5 Let b = -123 + 198. Suppose -4*k + 9*k = b. Suppose 5*s = -2*j + 34, 0 = 3*j + 3*s - 36 - k. What is the units digit of j? 7 Suppose c - 6 + 0 = 0. Suppose 0 = c*s - 1125 + 219. Let g = -100 + s. What is the units digit of g? 1 Let x = -378 + 606. What is the units digit of x? 8 Let q(y) be the first derivative of y**4/4 - 8*y**3/3 + 2*y**2 - 2*y + 1. Suppose -10*i = -13*i + 24. What is the tens digit of q(i)? 3 Let x(z) = -z**3 + 5*z**2 - 4. Let b be x(4). Let y = b + -11. Suppose u = y - 0. What is the units digit of u? 1 Suppose 6 = 11*s - 8*s. What is the hundreds digit of (1/s + 0)*(-26 + 230)? 1 Suppose -6*c - 5*c + 7084 = 0. What is the tens digit of c? 4 What is the units digit of ((-69)/6 + -2)*(-13 - -11)? 7 Let h(y) = -y**3 - 19*y**2 + 17*y - 22. Suppose 1 = r - 5*p + 13, -p + 156 = -5*r. Let n = 12 + r. What is the tens digit of h(n)? 3 Let j be (8 - 6)*(59 - 0). Suppose -5*g + 482 = -j. Let p = -86 + g. What is the tens digit of p? 3 Let f = 107 - 437. What is the units digit of f/(-44)*(25/3 + -1)? 5 Suppose 2*q + r = 5683, -3*q - 8*r = -11*r - 8511. What is the tens digit of q? 4 Let x(f) = -3*f**2 + 70. Let n(i) = 2*i**2 - 35. Let l(u) = 5*n(u) + 3*x(u). What is the units digit of l(0)? 5 Suppose 5*k + 15 = -5. Let j be 1 + k - (1 - 9). Suppose -j*i + 85 = 15. What is the tens digit of i? 1 Let i(s) = 40*s - 104. What is the tens digit of i(13)? 1 Suppose -14*m + 5950 = -79968. What is the hundreds digit of m? 1 Let i = 2873 + -1786. What is the hundreds digit of i? 0 Let k = 10130 + -6498. What is the tens digit of k? 3 Suppose f - 2*b + 13 = 6*f, 0 = f + 5*b - 21. Let p(g) = 0 - 1 - f - 7*g. What is the units digit of p(-4)? 6 Let b = 103 + -98. What is the units digit of b? 5 Suppose 2 = 2*n - 2. Suppose 2*d = -n*d - 3*m + 828, -3*d + 2*m + 638 = 0. Suppose 55 = -5*r + d. What is the tens digit of r? 3 Suppose -o - 9 = -12. Suppose -o*w + 4 = -311. What is the tens digit of w? 0 Let o(a) = 18*a + 2. Let x be o(-3). Let y = -33 - -35. What is the units digit of y/(-8) + (-1625)/x? 1 Suppose -4*t + 12 = 2*j, 4*t = 4*j - 0*j. Suppose 0 = -5*g + 4*h + 600, 4*g - 449 = -t*h - h. Let c = g + -71. What is the units digit of c? 5 Let s be -1 + -3 - (-3 + -113). Suppose -4*l = -0*l - s. What is the tens digit of l? 2 Suppose 6 = 4*i - 6. Suppose -z + 2 + i = 0. What is the units digit of z? 5 Suppose -2*l - 2 = 7*b - 2*b, 5 = -4*b - 5*l. Suppose 5*c - c - z - 466 = 0, b = -3*c + 3*z + 345. What is the hundreds digit of c? 1 Let d = 125 + -107. Suppose -20 = -4*k - k. Suppose 6*v - d = k*v. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
c**(3/5)*c**(-3/25) assuming c is positive. c**(12/25) Simplify p**(-5)*p**(2/11) assuming p is positive. p**(-53/11) Simplify (n/n**(-2))**(2/15)/(n*n*n**(-1))**(-12/11) assuming n is positive. n**(82/55) Simplify (y**(2/19))**1 assuming y is positive. y**(2/19) Simplify d**(2/3)*d/d**5*d*d*(d/(d/((d*d**1/d)/d)*d*d))**50 assuming d is positive. d**(-304/3) Simplify ((l/(l/(l/(l*l/(l/(((l**(1/2)*l)/l*l*l)/l))))))/l*l)**(1/9) assuming l is positive. l**(-1/6) Simplify (y**(-8))**(5/12) assuming y is positive. y**(-10/3) Simplify (r/(r**(3/7)/r))/r*r**2*(r*r**0)**(-24) assuming r is positive. r**(-150/7) Simplify (((y*y**(-2/7)*y)/y)/y)**(-3)/(y/y**(2/7)*y)**(-6) assuming y is positive. y**(78/7) Simplify (z*z**(1/3)*z*z**(2/13))**(3/2) assuming z is positive. z**(97/26) Simplify (k*k**4)/k*k*k**(-7)*(k*k/k**(2/5))**45 assuming k is positive. k**70 Simplify c*c**(3/13)*c**(-2/7) assuming c is positive. c**(86/91) Simplify p**(-13)*p*p**(22/3)/p assuming p is positive. p**(-17/3) Simplify (n**(2/7)/n**(-1/3))**(-17/6) assuming n is positive. n**(-221/126) Simplify (q**(-2/5))**7/((q/q**(-5))/(((q*q/(q/(q*q**(-3)/q))*q)/q*q)/q*q)) assuming q is positive. q**(-49/5) Simplify (f**1/f)**(-2/39) assuming f is positive. 1 Simplify c**(-23)*c*c**(-15)*c assuming c is positive. c**(-36) Simplify l*l*l*l**(-34)/l*l/(l*l*l**10) assuming l is positive. l**(-43) Simplify ((r*r**14)/r)/(r/(r/(r/((r*r/(r/(r**8*r))*r)/r)))) assuming r is positive. r**23 Simplify ((w*(w*w**(-5)*w*w)/w*w*w)/(w/(((w/((w/w**5)/w)*w)/w)/w)*w))**(-20/11) assuming w is positive. w**(-60/11) Simplify ((c*c/(c/(c/c**(-2))))**(-3/16))**(-34) assuming c is positive. c**(51/2) Simplify (((w/w**0)/w*w)**4)**5 assuming w is positive. w**20 Simplify v**(-8)*v/(v/(v/(v/(v/(v/(v*(v*v/v**7)/v*v))*v))))*(v*v**0)**41 assuming v is positive. v**30 Simplify (m**(2/5))**(-7)/(m/(m**(-3/2)*m)*m**(1/6)) assuming m is positive. m**(-67/15) Simplify x**(3/5)*x/(x*x**(4/13))*x*x*x assuming x is positive. x**(214/65) Simplify y**35/y**(-11) assuming y is positive. y**46 Simplify (t**12*t)**(-4/29) assuming t is positive. t**(-52/29) Simplify ((l*l**0*l)/l)**(-45)*(l*(l*l**(2/3))/l)**(2/75) assuming l is positive. l**(-2023/45) Simplify (u*u**(-2/9))**(1/10)/(u**1*u)**(-9/5) assuming u is positive. u**(331/90) Simplify t**(-5)*t**(-3/4)*t**(-7)/t*t*t**5 assuming t is positive. t**(-31/4) Simplify (j**(-1/7))**(-3/13) assuming j is positive. j**(3/91) Simplify y**(1/3)/y**(-2/9)*y/y**4*y*(y/(y*y*y**(-2/7)*y*y))/y assuming y is positive. y**(-325/63) Simplify (n**0)**(1/2)*(n**0)**18 assuming n is positive. 1 Simplify ((u/u**(-8/3))/((u/(u*(u*u/((u/(u*u**6))/u))/u))/u))/(u**(-5)/(u/(u*u**(-1/7)))) assuming u is positive. u**(374/21) Simplify (w**(5/3))**(2/89) assuming w is positive. w**(10/267) Simplify h*h**(-2/21)*h**(3/5) assuming h is positive. h**(158/105) Simplify ((g*(g*g*g**(-1/2))/g*g)/g)**(-50)/((g/(g**3/g))/g**(-4/7)) assuming g is positive. g**(-522/7) Simplify (c/c**(1/3)*c)/c*c*c**3*(c**(-2/5)*c)/c**(-2/11) assuming c is positive. c**(899/165) Simplify y**(-31)*y/(y*y**(13/2)*y) assuming y is positive. y**(-77/2) Simplify (s*s**(-2))**(8/11)/(s**(1/2)/s)**(9/11) assuming s is positive. s**(-7/22) Simplify g**(-23)*g**27 assuming g is positive. g**4 Simplify (n/n**(-8))/n**(3/8) assuming n is positive. n**(69/8) Simplify (q*q**(-18)*q)/(q**7*q) assuming q is positive. q**(-24) Simplify (k**5*k)/((k*k/(k*k*k**(-3/20)*k))/k*k) assuming k is positive. k**(137/20) Simplify ((g**(-2))**(7/6))**(-2/45) assuming g is positive. g**(14/135) Simplify (b**(-1/4))**(-30) assuming b is positive. b**(15/2) Simplify (c/c**(-1/5))**(-45)/(c**(-2))**(-3/50) assuming c is positive. c**(-1353/25) Simplify v**(-3/10)/(v/v**3)*(v**1/v)/v*v/(v**(-4)*v) assuming v is positive. v**(47/10) Simplify ((h**(-2/5)/h)/h*h**(-6/11)*h)/(h**(1/8)*h*h/(h**(-2/11)*h)) assuming h is positive. h**(-1431/440) Simplify (t/(t/t**(1/4)))/t**(-2/19)*t*t/(t*t/t**7)*t*t**8*t assuming t is positive. t**(1319/76) Simplify (n/n**(2/37))/n*n*n/((n**(-3/8)*n)/n*n) assuming n is positive. n**(391/296) Simplify ((n*n**(-1/2))/n**(-8))**(-13) assuming n is positive. n**(-221/2) Simplify (v*(v/(v/v**10))/v)**(2/87) assuming v is positive. v**(20/87) Simplify p**7/(p/(p*(p*p/(p/(p**(2/9)/p))*p)/p))*(p*p**(-2/5))**(-22) assuming p is positive. p**(-269/45) Simplify (p**(2/3))**(-48)/(p**1)**(-2/17) assuming p is positive. p**(-542/17) Simplify ((z**0/z)/z)**(7/3) assuming z is positive. z**(-14/3) Simplify ((x*x**(-2))/x**(2/17))/(x/(x/(x*(x*x*(x**1/x)/x)/x)))**(-14/5) assuming x is positive. x**(143/85) Simplify n**(-1/12)/(n/(n/((n/n**(6/7)*n)/n))*n*n*n*n) assuming n is positive. n**(-355/84) Simplify (b**7/b)/b*b**(-8)/b*b*(b*(b/((b**(2/5)/b)/b))/b)/b*b*((b**4/b)/b)/b*b assuming b is positive. b**(8/5) Simplify (a*a**(-2/7))**(5/4)*a**5/a*a*a**(-1/5) assuming a is positive. a**(797/140) Simplify r/(r**(-10)/r)*r**13 assuming r is positive. r**25 Simplify (a**(1/6)/(a*a/(a*a**(1/17)/a)))**(-2/99) assuming a is positive. a**(181/5049) Simplify (d/d**(-1/4))**(-29) assuming d is positive. d**(-145/4) Simplify (f*f**(-1)*f)**41 assuming f is positive. f**41 Simplify (y/(y/(y**(2/7)*y)))**(3/7)/(y**(-5/3)/(y*y**(2/7))) assuming y is positive. y**(515/147) Simplify (z/z**9)**(-1/2) assuming z is positive. z**4 Simplify (s**7)**46 assuming s is positive. s**322 Simplify (f/f**(2/53))**13 assuming f is positive. f**(663/53) Simplify ((a*a**(-27))/a)/(a/a**(-2/17)) assuming a is positive. a**(-478/17) Simplify (z**(-2)*z**(-1))**5 assuming z is positive. z**(-15) Simplify (v*v/(v/v**29))**(17/4) assuming v is positive. v**(255/2) Simplify ((x/(x/(x/(x*x/x**(1/4)*x))))/x**(-3))/((x*x**0)/x*x*(x*x*x/x**3)/x) assuming x is positive. x**(5/4) Simplify (c**6*c*c)/(c**5/c)*((c/((c/(c/c**(-1/2)))/c))/c)**43 assuming c is positive. c**(137/2) Simplify x/x**(3/8)*x**(2/121) assuming x is positive. x**(621/968) Simplify y/(y/(y/(y*y*y**(-30))))*y/y**(2/17) assuming y is positive. y**(508/17) Simplify ((m*m/(m*m**(-31))*m*m*m)/m)/(m**15*m*m) assuming m is positive. m**17 Simplify a**5*a*a**(1/15) assuming a is positive. a**(91/15) Simplify (g*g/(g/(g/(g*g**(-1/2)))))**12/((g/g**(1/2)*g)/g**(-1/3)) assuming g is positive. g**(97/6) Simplify h**17*h*h/(h/h**(1/13)) assuming h is positive. h**(235/13) Simplify (k**(-1)/k)**47*(k/((k*k**(1/4))/k))/(k*k/(k*k**(4/3))) assuming k is positive. k**(-1115/12) Simplify (g*g**12)/g**(1/18) assuming g is positive. g**(233/18) Simplify b*b**11*b/((b/(b/(b/b**3)))/b) assuming b is positive. b**16 Simplify ((u*u**(-12)*u)/u)/(u**10/u) assuming u is positive. u**(-20) Simplify ((z/(z**(-4)/z)*z)/(z/(z/(z/z**4))))**(-1/41) assuming z is positive. z**(-10/41) Simplify (g**(-22)/(g*g**(-1/25)))**25 assuming g is positive. g**(-574) Simplify ((u**18/u)/u**(-18/7))**44 assuming u is positive. u**(6028/7) Simplify ((k**5/k)/((k/k**(-3)*k)/k))**(-39) assuming k is positive. 1 Simplify (m**(2/15))**(-43/5) assuming m is positive. m**(-86/75) Simplify x**(-22/3)*x/x**(-2/7) assuming x is positive. x**(-127/21) Simplify (w*w*w**(-2/9)*w)**(-36)*w**(4/9)/(w/w**(2/5)) assuming w is positive. w**(-4507/45) Simplify (j**(-2)*j*j*j**(-1)*j)/(((j/j**(-4))/j)/(j/(j*j/j**(-1/7)))) assuming j is positive. j**(-36/7) Simplify (c**(-2/5))**(-3/5)/(c**(1/3))**(-22) assuming c is positive. c**(568/75) Simplify (a**(1/2))**(-12/5)/(a*a*a**(-1/3)*a*a*a**(1/5)/a) assuming a is positive. a**(-61/15) Simplify (t**(2/7))**(-1/11)/((t*t/(t/(t*t/t**(-1/5))))/((((t**(-2/23)/t*t)/t)/t)/t)) assuming t is positive. t**(-55901/8855) Simplify ((g**(-8)/g)/g**(-2/11))/((g*g/g**(-2/7)*g*g)/g)**(2/61) assuming g is positive. g**(-41925/4697) Simplify (y**(-2/17)*y*y**(-8))**(-6) assuming y is positive. y**(726/17) Simplify (k**6*k*k*k)/k*k*k**22/k*k*k assuming k is positive. k**32 Simplify ((w**1)**(-4/31))**(-5) assuming w is positive. w**(20/31) Simplify (w**(-16/9)*w*w)/w*w*w/((w*w**2/w)/w) assuming w is positive. w**(2/9) Simplify (h/((h/(h*(h/h**(2/23))/h))/h*h)*h/(h**(3/10)/h))/(((h/(h/h**(-2/21))*h)/h)/h*(h**(-4/5)/h)/h*h*h) assuming h is positive. h**(4355/966) Simplify o**(-9)/(((o/(o*o**(-15)))/o)/o) assuming o is positive. o**(-22) Simplify ((c**6)**(2/19
{ "pile_set_name": "DM Mathematics" }
, 4*s = -3*g - 3. Suppose -s*x - 7 = -7. Let u = -3.07 - 0.93. What is the nearest to 2/7 in x, u, 16? x Let q be (-26)/4 + 6/(12/5). What is the closest to 1.1 in -1, 12, 0, q? 0 Let q = 875.338 + -870. Let x = -0.908 + q. Let y = 0.43 - x. Which is the closest to 0.2? (a) 3 (b) 1 (c) y b Let x = -13.2 + 13. Suppose -5*q = 3*a - 7, 3*a + 3*q - 7*q - 16 = 0. Let g be ((-33)/(-44) - 11/a)/8. What is the closest to 0.2 in g, -2/5, x? x Let v = -34.2 - 1.8. Let m = 31.2221 + -0.2221. Let o = m + v. What is the closest to 0.3 in o, -0.4, -3? -0.4 Let y = -0.157 + 43.657. Let m = -43 + y. Let l = 0.043 + 0.057. Which is the nearest to 1? (a) l (b) m (c) 3 b Let h = -349541 + 249572143/714. Let m = h + 2/119. Let c = -3 + 2.8. What is the closest to c in m, 2, -2? m Let v be (((-4)/260)/(64/(-832)))/((-2)/(-10)). What is the closest to v in -1/4, 29, -52/3? -1/4 Let j = -8562 + 8644. Which is the nearest to -0.1? (a) j (b) -0.3 (c) -3 (d) -3/7 b Let n = 0.04 - 0.024. Let m = -0.116 + n. Let i = -74 + 73. Which is the closest to -2/5? (a) m (b) i (c) -3/4 a Let g be (4 - 3)/(0 + 1)*(-42)/(-63). Which is the nearest to 0.1? (a) -5 (b) 2/181 (c) g b Let i = 7.7 - 7.746. Let t = i - -1.046. Which is the closest to 0? (a) -0.38 (b) 3 (c) t a Let n = -9758.5 - -9758. Let z = -7 - -6. Which is the nearest to -0.1? (a) -2 (b) z (c) n c Let s = -23423 + 23780. Which is the nearest to s? (a) -0.4 (b) 4 (c) 0.1 b Let k = -0.738 - -0.638. Let n = -28 - -27. Which is the closest to 1/5? (a) n (b) -0.4 (c) k c Let s(q) be the third derivative of -7*q**4/6 - 191*q**3/6 - q**2 - 75. Let p be s(-7). Which is the closest to -41? (a) -1 (b) p (c) 2 (d) 4 a Let o(n) = n**2 - 9*n + 13. Suppose 22 = 3*f + 8*f. Let w = 5 + f. Let v be o(w). Which is the closest to v? (a) -4 (b) 2/15 (c) -0.4 c Suppose -28*h + 52*h + 107*h - 524 = 0. Which is the closest to 2? (a) h (b) -5 (c) 1/5 (d) 0.44 d Let d = 4.129 - 3.929. What is the closest to d in 0.09, 3, 1, 2? 0.09 Suppose 29*h - 313 = -565 + 339. What is the nearest to 2/29 in -2, h, -5? -2 Let u = -0.546 + 0.546. Let k = 0.4 - -2. Let h = -3.6 - k. Which is the closest to u? (a) h (b) 0.3 (c) -0.5 b Let m = 7163 + -7164. Which is the nearest to m? (a) 2/5 (b) 16 (c) -0.1 (d) 2/13 c Let o be (-8)/(-15)*(49 - 52)*5. Which is the nearest to -2? (a) 3 (b) 0 (c) -0.5 (d) o c Let j = 19.585 - 19.585. Which is the closest to j? (a) -2/3 (b) 2 (c) -0.04 (d) 2.8 c Let x = 884.7 - 883.4. What is the closest to x in -2/3, -4, 0.8? 0.8 Let n = 106.5 + -108. Let t = -0.19 - -0.25. Let a = t - -0.14. What is the closest to -2/5 in a, -3, n? a Let z = -15 - -254. Let x = z - 214. Which is the closest to x? (a) -2 (b) 4 (c) 0 b Suppose -2 = -l, 6*h + 8 = 7*h + 4*l. Which is the nearest to 0? (a) -3 (b) h (c) 39 (d) -0.5 b Let t = 189 - 189.4. Let x = -0.004 + 0.074. What is the nearest to 1/6 in t, x, -2? x Let s(o) = o**3 - 4*o**2 - 126*o + 259. Let n be s(2). Which is the nearest to n? (a) 2/5 (b) -1/21 (c) 4 b Let h be 0 + -3 + 58/18. Let k(j) = 1444 + 0*j + 5*j**2 - 1447 - 2*j. Let m be k(-1). What is the closest to 3 in -5, h, m? m Suppose 2*i - 2*z = 4, 11*z = 2*i + 7*z - 4. Let u = 103/336 + -1/48. What is the closest to 1 in -0.5, u, i? u Let n = 16986/1141 + -2380/163. Let d = -0.2 + 0.15. Let v = 1.8 - 2. What is the closest to n in v, 4/7, d? 4/7 Let q = 3.12 + 1.88. Let p = 1 - 0. Let t be (3*p)/(21/(-2)). What is the nearest to 3 in -3, t, q? q Let y(n) = -8*n**2 - 55*n - 52. Let w be y(-6). What is the nearest to 1/2 in 41, w, -0.1, 5? -0.1 Let h = -3140 + 3143. What is the closest to -2/11 in h, 2, 1/8, 1.5? 1/8 Let z = -24.9717 - -13.9717. Let t = 3 + -3.1. Which is the closest to 2? (a) z (b) t (c) 2 c Let p = 1158 - 1162. Which is the closest to 1? (a) 50/3 (b) -5 (c) p (d) 2/11 d Suppose 185*f = 31*f + 154. What is the nearest to 0.1 in 0.6, f, 4, 2/7? 2/7 Let j = -31 - -51. Let o = 22.36 - 0.36. Let d = j - o. Which is the closest to 2/7? (a) -1.1 (b) d (c) 2/9 c Let h be (-195)/30 + 6 + 7/(-2). Which is the closest to 0.1? (a) -13 (b) -2/5 (c) h b Let f = 198529/19 + -10449. Which is the nearest to 1? (a) 2/23 (b) 0.1 (c) f b Let m be (13 - 2940/216) + -1 + 11/6. Suppose -j - 2*g + 28 = 0, -3*g + g - 32 = -j. Let x = j + -208/7. What is the closest to m in x, 0.4, 4? x Let h be (-4)/6 + (-14)/(-3). Let o(g) = 15*g + 3*g**2 - h*g**2 - 13*g + 1. Let j be o(2). Which is the nearest to 0? (a) j (b) -2/13 (c) 0 c Let t = -9754 - -19867/2. Let s = t - 178. What is the nearest to -1/3 in 0.4, s, 2? 0.4 Let q = -14079 + 84475/6. Which is the nearest to 2/5? (a) -0.06 (b) q (c) 2/11 (d) 0.57 d Let u = -185.84 + 183.84. What is the nearest to 1/2 in 0.49, u, 5? 0.49 Let k = -3 - -3.3. Let z be (-754)/5 + (-45)/(-75). Let s = z - -150. Which is the closest to 1.3? (a) -2 (b) k (c) s b Let x = 1804.6 - 1805. Which is the nearest to 3? (a) 3/2 (b) x (c) -0.5 a Let p be (-555)/(-2025) - (1507/297 - 5). What is the closest to -29 in 5, 48, p? p Let n be (-15)/18*128/(-960). Which is the closest to 98.2? (a) -4 (b) -2/11 (c) 5 (d) n c Suppose 2*o - k - 12 = 0, -5*o + k + 3*k = -33. Let f = 0.13 - 0.48. Let b = 0.25 + f. What is the closest to b in o, 0.3, 4? 0.3 Let y be (9*(-8)/(-1386))/((-45)/(-21) - 3). What is the nearest to -2 in y, 0.4, 5? y Let a = -32 + 45. Let z = 18 - a. Let s be (-126)/15 + (-6)/10 - (-189)/18. What is the closest to -3 in s, z, 0.4? 0.4 Let u = 428.61 + -9.61. Let z = u + -423. What is the nearest to 0 in z, -0.4, -1/5? -1/5 Let h(t) = -4*t**3 + 13*t**2 + 13*t. Let k be h(-1). Suppose o + 4*y - 2*y + 7 = 0, -o = -k*y - 23. What is the closest to -1 in 2, o, 0, -0.2? -0.2 Let d = 2.97 - 536.97. Let l = -530 - d. Which is the nearest to 0.2? (a) -3/2 (b) 2/3 (c) l b Let v = 168.1 - 63.9. Let y = v - 104. Suppose -4*m = -4 - 16. Which is the closest to y? (a) m (b) -3 (c) -1 c Let r = 5 + -4. Let n = 0.02 - 6.02. Let l = -157.4 - -157. Which is the nearest to r? (a) 1/4 (b) n (c) l a Let y = 18.6 + -190.9. Let z = 172 + y. Let x be 0 + 0 + (-4)/(-6). Which is the nearest to z? (a) -0.4 (b) x (c) -2/3 a Let u = 854 + -853.15. Let z = -2.15 - u. What is the closest to -2 in -1/2, -58, z? z Let t(c) = -45*c. Let u be t(-1). Let l be u/175 + 7/49. What is the nearest to 3 in l, -2/11, -2? l Let z = 14276 - 14278. Which is the closest to 2? (a) z (b) 4 (c) -1 (d) 79 b Suppose -8*l - 5*y = 47, 3*l + y = 5*y. Which is the nearest to -0.1? (a) -3 (b) -6/19 (c) -19 (d) l b Let i = 3468.5 - 3468. Which is the nearest to 37? (a) 2 (b) -4 (c) i a Suppose 34 = -40*j + 44 - 330. What is the nearest to j in 0.4, 4, 10? 0.4 Let v = -3.07 - -0.07. Let i = -0.1026 + 3.4026. Let w = i + v. What is the nearest to 1/4 in -4, 0.1, w? w Let y = -43.083 + 43.183. What is the nearest to y in -11, 0.3, -0.3, 5? 0.3 Let i = 388 + -777/2. Let y = 0.315 + 0.685. Let n = 0.3 + 4.7. What is the nearest to i in 2/17, n, y? 2/17 Let d be (2 - -2)*1/1. Let l = -759 + 758.9615. Let u = l + -1.9615. Which is the closest to 6? (a) d (b) 0 (c) u a Let o = 6435.91 - 6440.91. Let f = -6 + 2. Let x = f + 6. What is the closest to -1/2 in 1/2, x, o? 1/2 Let h be (-14)/(-126) + (-528)/(-108). Which is the nearest to 2/35? (a) 0.1 (b) 2/11 (c) h a Let l(h) = -h**2 + 315*h + 53332. Let d be l(437). Let g = 2.05 + -0.05. Let v = -0.3 - -0.5. Which is the nearest to 1? (a) g (b) d (c) v c Suppose 6*o = -15*o - 4 - 17. What is the closest to -3 in 2/15, o, -0.5? o Suppose -o + 3 = -0. Suppose 2 + 10 = -o*h. Let g be 448/240 + (-1)/5. What is the nearest to -2/3 in -0.4, g, h? -0.4 Let u = -1592 - -1589. Let a be (2/(-10))/(1/((-25)/20)). Let s = -23/2 + 11. What is the closest to 0.2 in u, a, s? a Let i = -0.375 - -10.65. Let q = 10.2 - i. What is the nearest to q in 4, 3/8, 1? 3/8 Let v = -77 + 3. Let y = v + 73.925. Let p = y + 5.075. Which is the closest to -0.3? (a) -0.03 (b) p (c) 0.5 a Let m = -0.2177 + -3.7823. Let c = 0.1 - 0.4. Let y = -0.3 - c. What is the closest to y in 0.3, m, 0.2? 0.2 Let n = -0.1 - -0.2. Let c = -16236/7 - -2320. What is the nearest to -2 in -3, n, c, -1/4? -3 Suppose 85*k = 89*k - 8. Let m
{ "pile_set_name": "DM Mathematics" }
5, l + 4*a = 3602. Does 199 divide l? True Let u(n) = -7*n + 7. Let k(w) = -15*w + 13. Let h(t) = -4*k(t) + 9*u(t). Let q be h(6). Is 22 a factor of (21/9)/q*-66? True Suppose -14*h + 26212 = -10*h. Is h a multiple of 110? False Let y(z) = 7*z**2 - 100*z - 559. Is y(-7) a multiple of 95? False Suppose -19*x = 68*x + 51*x - 1522692. Is 75 a factor of x? False Let j = -38 + 28. Let a be 6/j + 1 - (-92)/20. Suppose -a*q + 46 + 279 = 0. Is 13 a factor of q? True Let p be -2 - ((-3 - -2) + -1). Suppose -16*y + 11*y + 1965 = p. Is 53 a factor of y? False Let h(j) = -3*j**2 + j + 1. Let c be h(1). Let r(y) = -9*y**2 + y + 2. Let f be r(c). Is 4 a factor of (-4 - 46/f)*16? True Let h(i) = -2*i**2 + 53*i + 2. Let n(k) = -k**2 + 12*k - 12. Let c be n(6). Does 5 divide h(c)? False Let j = 18582 + 2726. Is j a multiple of 28? True Let l(u) = 4*u**2 + 12*u + 13. Let h(i) = -11*i**2 - 36*i - 40. Let f(p) = -3*h(p) - 8*l(p). Let w be f(-7). Let k = w - -26. Is k even? False Let j = 11596 - 6786. Does 65 divide j? True Suppose 33 = -i + 16*y - 12*y, -12 = -4*y. Let k = i + 124. Does 11 divide k? False Let v(x) = -3*x**3 - 14*x**2 - 4*x - 15. Let m(h) = -2*h**3 - 47*h**2 - 25*h - 53. Let k be m(-23). Is 23 a factor of v(k)? False Suppose 21987 + 18347 = 86*m. Does 11 divide m? False Let m(g) = 38*g - 108. Let s be m(7). Suppose z + 1035 = 4*b, -b + 3*z + 87 = -s. Does 20 divide b? True Suppose -144*i = 346*i + 7618228 - 27969888. Is i a multiple of 38? True Let b(y) = -y**3 - 7*y**3 - 4*y - 1 + 0*y + 6*y**3 - 11*y**2. Does 13 divide b(-8)? True Suppose 0 = -11*t + 8*t + 8091. Suppose 4*o - 2156 = 4*u, -t = -5*o + 6*u - 3*u. Does 60 divide o? True Suppose 0 = 11*t - 9*t. Suppose t = -5*u + 20, 0 = 3*b - 0*b + 2*u - 185. Let y = b + -17. Does 6 divide y? True Let s be (-6)/(-4) + 11/(154/(-1421)). Let f = s + 230. Is f a multiple of 10? True Suppose -67*b + 39 = -64*b. Let f(i) = -i**2 + 8*i + 30. Let r(j) = 3*j**2 - 25*j - 90. Let y(p) = -7*f(p) - 2*r(p). Is 13 a factor of y(b)? False Let k(r) = 2*r**2 + 10*r + 10. Let f(q) = -4*q + 16. Suppose -3*t = 5*n - 0 + 2, 5*n = t - 26. Let b be f(t). Does 6 divide k(b)? False Let s = 10537 + -5667. Is s a multiple of 21? False Suppose 5*t + 2076*r = 2077*r + 211381, t = -2*r + 42274. Is t a multiple of 13? True Suppose 0 = -5*a + 25, -4*m - 4*a = -2*m + 456. Let t = m + 371. Is 10 a factor of t? False Suppose 0 = 5*y - 0*y - 25. Let p(o) = 5*o**3 - 11*o**2 - 8. Does 19 divide p(y)? True Suppose -4*s + 3*s = -5*c + 24, 0 = 3*s + 2*c + 4. Let k be (-25)/5 + s - -3. Is 14 a factor of ((-6092)/(-9))/4 - k/(-27)? False Suppose -346*g + 347*g = 4*y - 17701, -5 = g. Does 79 divide y? True Is 8 a factor of (-1)/((-2)/29738) - (-3)/6*-6? False Let l = -2496 + 5952. Is 72 a factor of l? True Let k = -26 - -74. Suppose k = 4*g - 8. Is g/70 - (-2)/(20/1198) a multiple of 20? True Let g(i) = -2*i**2 + 36*i + 3. Let b be g(18). Suppose 4*q = 20*v - 19*v + 682, 504 = b*q + 3*v. Does 10 divide q? True Suppose 132*a = 140*a - 10912. Does 11 divide a? True Let f = 8694 - 5204. Does 5 divide f? True Let r(l) = -2*l**2 - 10*l + 53. Let n be r(-8). Suppose 4*f - 954 = 4*u + u, 2*f = -4*u + 464. Suppose n*w - f = -16. Is w a multiple of 13? False Let b = 100239 + -64741. Is 37 a factor of b? False Suppose x = -11*i + 10*i + 12851, -2*x = -i - 25720. Does 48 divide x? False Let u = -25 - -23. Let q = u - 0. Is (11/q + 4)*-12 a multiple of 10? False Suppose -35*q + 276*q - 220203 - 65382 = 0. Does 3 divide q? True Suppose -992*q - 329358 - 28824 = -1003*q. Is q a multiple of 6? True Suppose -2*j = -4*b, -21*j - 2 = -24*j + 5*b. Suppose 4*v - 3*v = -p + 277, 3*p = 3*v + 825. Suppose 0 = j*x - 8*x + p. Is x a multiple of 15? False Let i = 12755 - 3300. Is i a multiple of 61? True Let d be ((-10)/(-4) + -2)/((-11)/(-44)). Let b(l) = -3085*l**d - l**3 - 7*l + 3085*l**2. Does 8 divide b(-3)? True Let m be (4/6 + 0)/((-6)/27). Let j be (12/(-4))/(-1) + m. Suppose -8*p + 246 - 22 = j. Is p a multiple of 4? True Suppose 2*l - 3152 = -4*h, -24*h + 26*h = -10*l + 1540. Does 6 divide h? False Let z be (642/8)/(684/48 - 14). Suppose -19*u + z = -1883. Does 6 divide u? False Let f = -4760 - -4826. Is f a multiple of 2? True Let u = -24 + 27. Let v(l) = -10*l**3 - 10*l - l - u - 4*l + 11*l. Is 43 a factor of v(-2)? False Let v = 25538 - 13754. Is 148 a factor of v? False Is (-5 + (-38374)/(-70))*25 a multiple of 140? True Let n(c) = c**3 - 18*c**2 + 33*c + 17. Suppose 0 = -40*p + 33*p + 112. Is n(p) a multiple of 17? False Let p(m) = 15*m - 95*m + 3 - 42*m. Is p(-2) a multiple of 19? True Let j(f) = f - 43. Let m(p) = 44. Let y(l) = -3*j(l) - 2*m(l). Let a be y(12). Suppose -3*k + 311 = -a*b, -5*b + 107 + 142 = 2*k. Does 16 divide k? True Suppose -s + 1 = 0, -67 = 2*t + 3*s - 2670. Is 25 a factor of t? True Suppose -2*i - z = -2, -z - 17 = i + 4*z. Let f be (i - 0)/((-1)/55). Let j = f + 369. Is j a multiple of 34? True Is -14 + 66/6 + (-31083)/(2 - 5) a multiple of 26? False Suppose -5*z - 14685 = -v, -3*z + 7885 = -2*v + 37213. Does 27 divide v? False Let m be 6*(1053/(-156))/(3/(-32)). Suppose m = -60*a + 66*a. Is 4 a factor of a? True Suppose 7*o - 26*o + 66690 = 0. Is 18 a factor of o? True Let d be -3 - (-3*27 - -1). Suppose 6*x + d + 505 = 0. Let c = x + 109. Is c a multiple of 4? True Suppose -4*n + 5*r = 1062, -2*r - 2*r = n + 276. Let t = 728 + -1156. Let a = n - t. Is a a multiple of 32? True Suppose -2*n - p + 39 = -11, p + 118 = 5*n. Suppose 0*z + 4*z = 4*h - n, 0 = -4*h - 2*z + 42. Suppose -h*u = -60 - 903. Is u a multiple of 11? False Suppose -141*q + 15 = -136*q. Suppose -q*x = 2*m - 710, 3*x - 1070 = 2*m - 352. Does 14 divide x? True Suppose 0 = 128*s - 137*s + 2862. Suppose s*p = 323*p - 700. Does 28 divide p? True Let x = -48 + 72. Suppose -5*o + 2*b + 1145 = 0, -4*o + 914 = 18*b - 20*b. Suppose -4*j + n + o = 0, -312 = -5*j + n - x. Is j a multiple of 12? False Let t(f) = -f**2 + 53*f + 227. Does 61 divide t(45)? False Let v(p) = -56 + 27 - 127 + p**2 - p. Is 6 a factor of v(15)? True Let z = 120167 - 50555. Does 50 divide z? False Let p be (2 + 3/(-3))*0. Let x be 0 - (10/6)/(-5)*p. Suppose x = -5*r + 28 + 117. Is 29 a factor of r? True Suppose 5*n + 40824 = 5*o - 14051, -65844 = -6*o + 5*n. Does 113 divide o? False Suppose -37998*x - 976374 = -38025*x. Is x a multiple of 49? True Let q be (-21)/7 + 6 + 5893. Suppose -1364 = -20*n + q. Does 11 divide n? True Let f(a) = a**3 + 2*a**2 - 15*a - 14. Let s be f(-7). Let t = 815 - s. Is t a multiple of 19? True Let y = -5634 + 17198. Does 98 divide y? True Let s be (1 - 2) + 3 - (-28 + 25). Suppose 83 - 489 = -4*d + 3*v, -5*d + 490 = s*v. Is d a multiple of 10? True Suppose l + 146 = -5*w, -4*l + 2*w = 7*w + 509. Let c = 132 + l. Is 3 a factor of c? False Suppose -2*r - 11358 = -6*r + 4866. Is r a multiple of 26? True Let c be ((-4)/10)/((-16)/40). Suppose f = -c, 2*l = 4*f - 5 + 19. Suppose 3*r + 3*u = 45, -l*r + 0*r + u + 105 = 0. Is 4 a factor of r? True Let m(z) = -48*z**3 - z**2 + 7*z + 2. Let p(d) = -29*d**3 - d**2 + 7*d + 3. Let f(t) = -2*m(t) + 3*p(t). Let n be 3/(-2*(-1)/2). Does 10 divide f(n)? True Let l(b) = -b**2 - 5. Let q be l(3). Let f = q - -2. Is 12 a factor of (f/8 - 1 - -2)*-30? False Let u(h) = -9*h - 1. Let l(g) = -2*g**3 - 6*g**2 + 11*g + 6. Let a be l(-4). Is u(a) a multiple of 3? False Let b(t) = -t**2 + 1. Let l(s) = -8*s**2 - 11*s - 31. Let a(y) = -b(y) - l(y). Let z be a(-5). Suppose 4*r - 211 - 93 = 4*n, -4*n + z = 3*r. Does 18 divide r? True Let v = 55492 + -22914. Does 179 divide v? True Let h(f) = 71*f + 3609. Is h(-50) a multiple of 13? False Let j(y) = 2*y**3 - 3*y**2 - 12*y + 23. Let n be j(4). Suppose 5*d - n*z - 6829 = -53*z, 0 = -d - 4*z + 1357. Is 15 a factor of d? True Suppose 2*f - 25 = -91. Let y = -31 - f. Is 141/y - 12/24 a multiple of 14? True Let y = 82 - 61. Let c = 23 - y. Suppose 134 - 30 = c*t. Is t a multiple of 13? True Suppose 41 = -o + 45. Suppose -o*l + 2*p + 704 = -58, 5*l - 939 = -2*p. Does 9 divide l? True Does 12 divide 2620 - (-7 - -4)/6*16? True Suppose 3*u + 17 = v, 0 = u - 5*u - 2*v - 6. Let h be u*(-4)/16*3. Suppose -3*a - 12 = 0, -h*a - 41 + 7 = -2*k. Does 5 divide k? False Suppose -3*n = 3*s - 4*s - 3729, 3729 = 3*n - 2*s
{ "pile_set_name": "DM Mathematics" }
5 for g. 10 Solve -22*o = o - 115 for o. 5 Solve -212*j = -427*j + 1290 for j. 6 Solve -51288*h = -51297*h - 54 for h. -6 Solve -22*v = -2872 + 2300 for v. 26 Solve -120*r = 95*r - 1505 for r. 7 Solve -326 + 113 = -39*k + 99 for k. 8 Solve 11*f + 61 = -4*f - 14 for f. -5 Solve 1658 = 529*n - 6277 for n. 15 Solve 0*m = -14*m + 92*m - 1014 for m. 13 Solve 13379*h - 13348*h = 93 for h. 3 Solve 96*f - 134*f - 153*f = 81*f for f. 0 Solve 12*d - 14*d + 6 = 0 for d. 3 Solve -9*v - 1239 + 1194 = 0 for v. -5 Solve 4*w - 14 = -17 + 27 for w. 6 Solve 897*j - 270*j = 3762 for j. 6 Solve 9309*y - 9291*y = -252 for y. -14 Solve 0 = -139*p - 2079 - 979 for p. -22 Solve 6388 = 29*i + 23*i + 7792 for i. -27 Solve 18*g + 137*g = -2196 - 2144 for g. -28 Solve 19*t + 215 + 32 = 0 for t. -13 Solve -6*q + 79 = 11*q - 142 for q. 13 Solve 0 = -128*v + 132 + 1276 for v. 11 Solve 21*d - 94946 = -94967 for d. -1 Solve -1963*w + 5166 + 7743 = -2795 for w. 8 Solve -8 = -5*r - 8 + 50 for r. 10 Solve -15*a = -5717 + 5567 for a. 10 Solve 247*k = 284*k - 740 for k. 20 Solve -201*f = 613*f + 8140 for f. -10 Solve 19 = -54*d - 35 for d. -1 Solve -598*u - 1050 = 452*u for u. -1 Solve 11244 = -59*u + 9828 for u. -24 Solve -39*c - 114*c = 0 for c. 0 Solve -69*q - 48*q - 2376 = -9*q for q. -22 Solve -55 - 64 = -25*t - 19 for t. 4 Solve 472 - 269 + 142 = -23*y for y. -15 Solve 23*m + 144 - 238 = 205 for m. 13 Solve 0 = 81*m - 234 + 1287 for m. -13 Solve -108*g + 21*g = 20*g - 642 for g. 6 Solve 0 = -73*n + 946 + 1098 for n. 28 Solve -856 = 28*b - 734 - 598 for b. 17 Solve -28*q + 3531 - 3979 = 0 for q. -16 Solve -194*h = -217 + 3381 + 1880 for h. -26 Solve -21905*i + 3536 = -21684*i for i. 16 Solve 46*q - 265 - 53 = 234 for q. 12 Solve -74*q = 292*q + 6222 for q. -17 Solve 15*s + 138 = 209*s + 526 for s. -2 Solve -6*n = 67*n + 1382 - 214 for n. -16 Solve 8092*d + 176 = 8100*d for d. 22 Solve 87*m + 11 - 359 = 0 for m. 4 Solve 122*d - 49*d = -51*d - 1984 for d. -16 Solve -38*f - 561 = 19*f - 6*f for f. -11 Solve -226*q + 192 = -53*q - 2057 for q. 13 Solve -50*u = -43*u - 42 for u. 6 Solve 11 - 4 = 41*o - 116 for o. 3 Solve -109*c - 169 = 594 for c. -7 Solve 615 = -56*s - 359 - 258 for s. -22 Solve 440*g + 468 + 412 = 0 for g. -2 Solve -23*r + 34 = -65 - 223 for r. 14 Solve 45477 = -1279*l + 12223 for l. -26 Solve -267*i - 2847 - 1692 = 0 for i. -17 Solve 150 = 44*u + 49*u - 18*u for u. 2 Solve -3*j = 12*j - j + 3*j for j. 0 Solve -42*s = 71*s - 1243 for s. 11 Solve -405*o = 154*o for o. 0 Solve 571*m + 318*m = 113*m - 24056 for m. -31 Solve 442*m + 3792 = 126*m for m. -12 Solve -2700 = 92*v - 317*v for v. 12 Solve 0 = 29*z - 250 - 17 + 6 for z. 9 Solve -44*n - 1989 = 39*n - 578 for n. -17 Solve 44981 = -1225*b + 11906 for b. -27 Solve -18610*h + 609 = -18581*h for h. 21 Solve 6212*f + 570 = 6307*f for f. 6 Solve -2010*i + 207 = -2036*i + 25 for i. -7 Solve 58*p - 11 = -16 + 5 for p. 0 Solve -p + 51 = 11 + 8 for p. 32 Solve -572 - 736 = -143*a + 34*a for a. 12 Solve 90*i = 110*i - 79 - 1 for i. 4 Solve 57*s + 768 + 371 = -10*s for s. -17 Solve -331 = 7*o - 373 for o. 6 Solve 1983*i - 40194 = 156*i for i. 22 Solve 0 = 150*x + 440 - 1041 - 2249 for x. 19 Solve 34 = -10*x + 44 for x. 1 Solve -6*w - 151 + 37 = 18 for w. -22 Solve -46*f - 8017 = -7419 for f. -13 Solve 0 = 149*z - 482 - 948 + 238 for z. 8 Solve 0 = -27*w - 29*w - 616 for w. -11 Solve 52*g = -56*g - 4*g - 336 for g. -3 Solve 23*q + 76 - 71 = -179 for q. -8 Solve -1131*k + 4 = -1135*k - 28 for k. -8 Solve -38*r = -252 + 62 for r. 5 Solve -34*l + 53*l = 27*l - 144 for l. 18 Solve 594*f = 1759*f + 46600 for f. -40 Solve -7643*o = -7630*o + 143 for o. -11 Solve 63*w - 668 = -104*w for w. 4 Solve -237*c - 465 = -162*c - 106*c for c. 15 Solve 98*x = 83*x - 105 for x. -7 Solve 135*w + 2906 = -7*w - 1212 for w. -29 Solve 58 - 57 = 16*k + 49 for k. -3 Solve 932*s - 7039 - 8586 = -1645 for s. 15 Solve -1066*m - 3462 = 88*m for m. -3 Solve -758*g = -775*g - 255 for g. -15 Solve -93*r - 49*r = 128*r + 3510 for r. -13 Solve -19 - 53 + 50 = -11*o for o. 2 Solve 89*b + 609 + 726 = 0 for b. -15 Solve 608*y + 1646 - 3031 - 4087 = 0 for y. 9 Solve 64*b - 88*b - 168 = 0 for b. -7 Solve -702 = 44*c + 34*c for c. -9 Solve 17*m + 234 - 285 = 0 for m. 3 Solve 15125*d - 15143*d = 36 for d. -2 Solve -138*i + 214*i + 152 = 0 for i. -2 Solve 811 = -206*x + 3283 for x. 12 Solve -138 = -i + 2*i - 149 for i. 11 Solve 115 = -23*c + 142 + 134 for c. 7 Solve 1872 = 2852*h - 2930*h for h. -24 Solve -2684 = -2*p - 120*p for p. 22 Solve 104*a - 1127 = 17 for a. 11 Solve -13*i + 7*i = 9*i + 225 for i. -15 Solve 39*z + 161 - 223 = 406 for z. 12 Solve -72*g - 3*g - 462 = 2*g for g. -6 Solve 422 = 15*m + 197 for m. 15 Solve 7946*v + 150 = 7931*v for v. -10 Solve -40*g - 43*g + 448 = -27*g for g. 8 Solve 0 = 2769*f - 2760*f - 72 for f. 8 Solve 0 = -254*f + 342*f - 1056 for f. 12 Solve 99*h - 363 = 66*h for h. 11 Solve 245*r + 560*r = 14490 for r. 18 Solve 387 = -29*v - 100*v for v. -3 Solve -1144 = -1685*b + 1542*b for b. 8 Solve 36*x - 6*x - 347 = -47 for x. 10 Solve -259*r + 4168 = 1578 for r. 10 Solve 2577 + 2358 = -987*c for c. -5 Solve -7*n = 11*n + 3*n + 315 for n. -15 Solve -178 - 259 = -16*h - 85 for h. 22 Solve 29*x + 37*x = 97*x + 372 for x. -12 Solve 20*y - 12 - 22 - 106 = 0 for y. 7 Solve 12461 = -9*o + 12425 for o. -4 Solve -39 - 113 = 38*u for u. -4 Solve 72 = -20*h + 10*h + 18*h for h. 9 Solve -164*n + 169*n = 12 + 13 for n. 5 Solve 327 - 1095 = -12*b - 20*b for b. 24 Solve -327*b + 256*b = 142 for b. -2 Solve 52*f = 20*f - 22*f - 1080 for f. -20 Solve 10735 - 10875 = 10*h for h. -14 Solve 7139*b - 7135*b = 44 for b. 11 Solve -7*b + 75*b + 612 = 0 for b. -9 Solve 15*u + 63 - 85 = 83 for u. 7 Solve 964*v + 225 = 1009*v for v. 5 Solve 378 = 1035*w - 993*w for w. 9 Solve 0 = -95*y - 120 + 310 for y. 2 Solve 41*l - 9841 = -10661 for l. -20 Solve -781 = 852*j - 452*j - 471*j for j. 11 Solve -5928 = 123*o + 124*o for o. -24 Solve 466 = 14*p + 454 + 194 for p. -13 Solve -14*d = -209844 + 210208 for d. -26 Solve 617*f = 73*f - 62*f + 16968 for f. 28 Solve -113*h - 69*h = 165*h - 4858 for h. 14 Solve -5068*h - 540 = -4952*h + 1316 for h. -16 Solve 37*s - 78 = -22*s + 57*s for s. 39 Solve 94*b - 26*b - 260 = -1008 for b. -11 Solve -8*c = -3*c + 16*c + 399 for c. -19 Solve 165*x + 640 - 85 = -600 for x. -7 Solve -3884 - 88 = 662*c for c. -6 Solve 13 - 76 = -8*o + 17*o for o. -7 Solve 20*w + 66*w = -6*w + 1196 for w. 13 Solve 0 = 88*h - 35 - 493 for h. 6 Solve 431*n + 1812 = -343 for n. -5 Solve 0 = 51*c + 55*c - 362*c - 2304 for c. -9 Solve -190 + 541 = 841*w - 490 for w. 1 Solve -49 - 1533 = -113*i for i. 14 Solve -58*h = 784*h + 13472 for h. -16 Solve 464 = 1531*a - 1515*a for a. 29 Solve 0 = -22*j + 325*j + 5757 for j. -19 Solve -403*q - 769 + 5473 = -11*q for q. 12 Solve 0 = 153*s - 24*s + 1290 for s. -10 Solve 19*t - 36 = 47*t - 22*t for t. -6 Solve 0 = 21*p - 746 + 683 for p. 3 Solve -269*t - 604 = -1431 - 518 for t. 5 Solve -5037*a + 1886 = -5119*a for a. -23 Solve 162*g + 648 = -0 for g. -4 Solve 26259*n - 26253*n - 31 = -7 for n. 4 Solve 94 = -18*q - 101 + 69 for q. -7 Solve 567*u + 356*u = -370*u - 49134 for u. -38 Solve -162*a + 920 = 22*a for a. 5 Solve -9342*i + 9158*i = -2944 for i. 16 Solve -69 + 29 + 85 = 15*w for w. 3 Solve -288*z + 2821 = 229 for z. 9 Solve -101*y + 69 = -436 for y. 5 Solve 364*x = 86*x for x. 0 Solve 1114*s + 226 = 1227*s for s. 2 Solve 68*f + 32*f = -900 for f. -9 Solve 36 + 83 = -119*u for u. -1 Solve -140*p - 2223 = -508 + 1085 for p. -20 Solve 475 - 285 = 27*i - 485 for i. 25 Solve 297*d - 42 = -2418 for d. -8 Solve -43*b = 48*b - 443 + 1262 for b. -9 Solve 47*z + 65 = 42*z for z. -13 Solve -55*q - 98 = -54 + 66 for q. -2 Solve -3493 = -19*p - 3626 for p. -7 Solve 88*z + 42 = -750 for z. -9 Solve 7*k - 19 = 44 for k. 9 Solve -2105 - 1022 = -717*z + 1175 for z. 6 Solve -74 + 15 = 71*r + 83 for r. -2 Solve 560*j = -4104 + 744 for j. -6 Solve 184*y - 10256 = -3264 for y. 38 Solve -3102 + 15 - 342 = -381*o for o. 9 Solve 50*w - 124*w + 3667 = 119*w for w. 19 Solve -38*c - 15*c = 845 - 209 for c. -12 Solve -48*g + 1969 = -146*g - 89 for g. -21 Solve 275*z = 137*z + 149*z - 154 for z. 14 Solve -78*w = 5567 - 5567 for w. 0
{ "pile_set_name": "DM Mathematics" }
of picking 2 i and 1 v? 6/55 What is prob of picking 1 b and 2 q when three letters picked without replacement from bbqqbqbbbbqbqbbqqqbq? 33/95 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jmjtjhjk. 1/7 Calculate prob of picking 1 m and 2 h when three letters picked without replacement from {h: 2, t: 6, i: 4, m: 3}. 3/455 Four letters picked without replacement from ccngzizzzizinnccfc. What is prob of picking 1 c, 1 n, 1 z, and 1 i? 5/68 Calculate prob of picking 1 e and 3 r when four letters picked without replacement from {e: 7, r: 4}. 14/165 What is prob of picking 2 x and 1 e when three letters picked without replacement from {x: 12, e: 3}? 198/455 Calculate prob of picking 2 y when two letters picked without replacement from ynntttynt. 1/36 Four letters picked without replacement from {v: 1, r: 2, n: 1, i: 1, b: 3, h: 4}. Give prob of picking 1 v, 1 i, and 2 h. 2/165 Three letters picked without replacement from mammam. Give prob of picking 2 a and 1 m. 1/5 Calculate prob of picking 3 v and 1 l when four letters picked without replacement from vvvvllvv. 4/7 What is prob of picking 1 l and 3 o when four letters picked without replacement from {l: 3, u: 2, o: 15}? 91/323 What is prob of picking 1 v, 2 h, and 1 m when four letters picked without replacement from nmmhhnnnmrxmnrnmvm? 1/510 Three letters picked without replacement from tkofyfyfyo. What is prob of picking 1 f, 1 o, and 1 y? 3/20 What is prob of picking 4 d when four letters picked without replacement from {d: 1, x: 6, m: 4, h: 3}? 0 Two letters picked without replacement from zsrlsrrlzrrlzrzrr. What is prob of picking 2 z? 3/68 Two letters picked without replacement from qexxmqqeimyxe. Give prob of picking 2 x. 1/26 Calculate prob of picking 2 s, 1 l, and 1 f when four letters picked without replacement from ssdaadflfgafgasafga. 1/323 Calculate prob of picking 1 k and 1 g when two letters picked without replacement from vjkgvkjgk. 1/6 What is prob of picking 2 m when two letters picked without replacement from mmmmm? 1 What is prob of picking 1 r and 1 k when two letters picked without replacement from rkkrrkkrkrrk? 6/11 What is prob of picking 2 e when two letters picked without replacement from {e: 2, w: 1}? 1/3 Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {x: 4, v: 3, u: 2}. 1/28 Calculate prob of picking 4 r when four letters picked without replacement from rstrurrtxsrtsrtr. 1/52 Three letters picked without replacement from {x: 2, o: 1, c: 5, a: 5, f: 1, d: 1}. What is prob of picking 1 x and 2 c? 4/91 What is prob of picking 1 k and 1 d when two letters picked without replacement from dkklkdledd? 4/15 Calculate prob of picking 1 b and 2 k when three letters picked without replacement from cpbnpbpbbbpbkcnb. 0 Three letters picked without replacement from {v: 5, g: 9}. What is prob of picking 2 v and 1 g? 45/182 What is prob of picking 1 u and 1 y when two letters picked without replacement from {s: 1, u: 2, w: 1, y: 2, k: 1, r: 1}? 1/7 Calculate prob of picking 3 u when three letters picked without replacement from susouuu. 4/35 Calculate prob of picking 1 n, 1 o, and 1 m when three letters picked without replacement from onmmnommom. 1/4 Four letters picked without replacement from ozzqoqbqqqqqbq. Give prob of picking 1 o, 2 z, and 1 q. 16/1001 Two letters picked without replacement from {g: 2, y: 10}. Give prob of picking 1 y and 1 g. 10/33 Two letters picked without replacement from daatadtdaedkaadddavd. What is prob of picking 1 t and 1 a? 7/95 Three letters picked without replacement from zzbbbbbbzbzzbzbzzzzz. Give prob of picking 1 z and 2 b. 33/95 What is prob of picking 1 s, 2 w, and 1 c when four letters picked without replacement from spsgttcwttwggpssp? 1/595 What is prob of picking 1 u and 3 n when four letters picked without replacement from ununuunuuuuuuuu? 4/455 What is prob of picking 1 b and 1 z when two letters picked without replacement from pzzpbspzspzzpbpzgpzs? 7/95 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from wsjbmrwb. 1/56 Two letters picked without replacement from {x: 6, o: 7, v: 1, k: 6}. Give prob of picking 1 o and 1 v. 7/190 What is prob of picking 1 p and 1 n when two letters picked without replacement from {j: 2, x: 1, n: 1, c: 2, p: 1}? 1/21 Two letters picked without replacement from {t: 2, k: 2, l: 10, e: 3, n: 3}. What is prob of picking 2 n? 3/190 What is prob of picking 1 u and 1 o when two letters picked without replacement from wvuwoo? 2/15 What is prob of picking 3 t when three letters picked without replacement from ttttttth? 5/8 Three letters picked without replacement from ttfffvtfhhvft. Give prob of picking 1 v and 2 t. 6/143 Calculate prob of picking 1 z, 1 i, and 1 m when three letters picked without replacement from osoezozemimzmio. 18/455 Calculate prob of picking 3 a when three letters picked without replacement from {t: 3, p: 2, a: 3, c: 3, k: 8}. 1/969 What is prob of picking 1 n and 2 m when three letters picked without replacement from znmnnnciniccmimccn? 3/136 Two letters picked without replacement from {p: 1, s: 2, d: 1}. What is prob of picking 1 p and 1 d? 1/6 Two letters picked without replacement from {b: 1, v: 3, t: 1}. Give prob of picking 2 v. 3/10 Calculate prob of picking 3 r and 1 c when four letters picked without replacement from bcbccbbrrrbrbbcr. 2/91 Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {s: 1, n: 4, o: 2}. 6/35 What is prob of picking 2 m when two letters picked without replacement from {p: 3, g: 1, m: 7, b: 2, t: 7}? 21/190 What is prob of picking 1 t and 1 n when two letters picked without replacement from {g: 1, t: 8, n: 1, o: 4, w: 3}? 1/17 What is prob of picking 1 n and 1 y when two letters picked without replacement from {g: 2, t: 4, f: 1, k: 1, n: 2, y: 2}? 2/33 What is prob of picking 1 n and 1 g when two letters picked without replacement from vngvvgv? 2/21 Two letters picked without replacement from bxmyyyb. What is prob of picking 2 y? 1/7 Four letters picked without replacement from llhhjlzlllzljjzl. Give prob of picking 2 z and 2 j. 9/1820 Calculate prob of picking 1 l, 2 x, and 1 m when four letters picked without replacement from mluttuoxtolxlt. 3/1001 Three letters picked without replacement from fjttjtffjukjpjjptkt. Give prob of picking 1 k, 1 t, and 1 j. 20/323 Calculate prob of picking 3 q when three letters picked without replacement from mmqqmmqmqqmmqjmqmmmq. 14/285 Two letters picked without replacement from gtftftyqtqffgftf. What is prob of picking 2 f? 1/8 Three letters picked without replacement from {f: 6, x: 4}. Give prob of picking 3 f. 1/6 Two letters picked without replacement from {p: 1, y: 1, a: 3, n: 5, g: 3, d: 1}. What is prob of picking 1 d and 1 y? 1/91 Two letters picked without replacement from {x: 1, v: 2}. What is prob of picking 1 v and 1 x? 2/3 Two letters picked without replacement from ggggg. What is prob of picking 2 g? 1 Two letters picked without replacement from fjupxnnu. What is prob of picking 1 u and 1 n? 1/7 What is prob of picking 2 w and 1 f when three letters picked without replacement from {w: 3, u: 3, f: 1}? 3/35 What is prob of picking 2 o and 1 b when three letters picked without replacement from {b: 2, o: 4}? 3/5 Three letters picked without replacement from qsywhsyccsy. Give prob of picking 2 y and 1 h. 1/55 Calculate prob of picking 3 n when three letters picked without replacement from kknknkffkknk. 1/220 Two letters picked without replacement from ihhqqixqih. What is prob of picking 1 h and 1 i? 1/5 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 4, p: 2, g: 4, z: 9}. 8/171 Two letters picked without replacement from {c: 2, b: 1}. Give prob of picking 1 b and 1 c. 2/3 Two letters picked without replacement from {n: 2, e: 1, c: 4, l: 1, o: 1}. What is prob of picking 2 n? 1/36 Three letters picked without replacement from inniifn. What is prob of picking 3 i? 1/35 Two letters picked without replacement from gtgg. What is prob of picking 1 t and 1 g? 1/2 Calculate prob of picking 3 t when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
fy -3 + sqrt(13) + (1 + sqrt(13)*-2 + sqrt(13))**2 + (sqrt(208) + -1 + 3)**2. 15*sqrt(13) + 223 Simplify (4*(sqrt(88) - (sqrt(88) - -2*sqrt(88))) - sqrt(88))/(sqrt(8) - sqrt(512)*-4). -3*sqrt(11)/11 Simplify -4*(sqrt(3) + ((sqrt(3) - (sqrt(6)/sqrt(50))**2) + sqrt(3) - sqrt(3))) - (sqrt(54)/sqrt(2)*-2)/sqrt(9). -6*sqrt(3) + 12/25 Simplify ((sqrt(1584) - (sqrt(1584) - (sqrt(1584)*5 - sqrt(1584))))*4 - -4*5*sqrt(891))**2. 1522224 Simplify ((sqrt(1053) - ((-4*sqrt(1053) + sqrt(1053))*5 - sqrt(1053)))*2 - (sqrt(1053) + 0 + 1 - (sqrt(1053) - -1*sqrt(1053)*4 - sqrt(1053))))**2. -666*sqrt(13) + 1441558 Simplify 2*(-1*sqrt(66)*3)/(sqrt(486) + sqrt(486)*-2 + sqrt(486) + sqrt(486)). -2*sqrt(11)/3 Simplify 2*(sqrt(114) - (sqrt(114) + sqrt(114)*-3)*6 - sqrt(114))/(sqrt(6) + 3*sqrt(6)*3)*-3. -36*sqrt(19)/5 Simplify (1*(-1 + ((sqrt(60) + sqrt(180)/sqrt(3))/sqrt(4) + sqrt(15))/((sqrt(5) - sqrt(45)/(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(5)) + sqrt(5))))**2. -12*sqrt(3) + 109 Simplify -3 + (sqrt(1700) + (sqrt(1700)*-2 + 4)**2 - sqrt(1700)) + 5*(-1*sqrt(1700) - sqrt(1700)). -260*sqrt(17) + 6813 Simplify ((sqrt(3500) - (sqrt(3500) + (sqrt(3500) - sqrt(3500)*2*-1))) + sqrt(3500))/((sqrt(660)/(sqrt(11) + sqrt(11)*-2))/sqrt(12)). 20*sqrt(7) Simplify ((3 + (sqrt(500)*-2*-4 - sqrt(500)) + 1)*5)**2. 14000*sqrt(5) + 612900 Simplify 5*(sqrt(72)/sqrt(16))/(1*sqrt(9)*3)*-3. -5*sqrt(2)/2 Simplify ((1 + ((sqrt(30) - -1*sqrt(30))*6)/sqrt(10))*-5)**2. 600*sqrt(3) + 10825 Simplify ((sqrt(95) + 3*2*sqrt(95) + sqrt(95) + -1*sqrt(95)*2)/((sqrt(1210)*-3)/sqrt(2)))**2. 76/121 Simplify -5*(sqrt(704)*-1)/(sqrt(48)/sqrt(108))*-5. -300*sqrt(11) Simplify (-2*((sqrt(156) - (sqrt(156) - (-1*sqrt(156) + sqrt(156))))*-1 - sqrt(156)))/(sqrt(72)/(sqrt(54)*-2 + sqrt(6))). -10*sqrt(13) Simplify (sqrt(66)/(sqrt(6) + 1*sqrt(6)*5 + sqrt(6) + sqrt(6)) + sqrt(132)/(sqrt(12) + 4*sqrt(588) + sqrt(12)))**2. 3971/14400 Simplify sqrt(21)/sqrt(3) + 4 - sqrt(14)/sqrt(2)*-4 - (sqrt(7) + -2 + 0 + (sqrt(7) - (1*sqrt(7) + -5)**2)). -7*sqrt(7) + 38 Simplify (-3 + -5*(sqrt(5) + -2)*4 + -3)*-3. -102 + 60*sqrt(5) Simplify 1*((-2*(sqrt(1100) + -2 + sqrt(1100)))**2 + -4). -320*sqrt(11) + 17612 Simplify sqrt(88)/(3*sqrt(392)) + sqrt(132)/(sqrt(300)*1 + sqrt(300) + sqrt(300) - sqrt(12)). 5*sqrt(11)/42 Simplify ((sqrt(8) + sqrt(24)/(-1*sqrt(3)))/sqrt(4))**2 - (-3 + sqrt(18) + sqrt(2) + -3*sqrt(18))**2. -59 - 30*sqrt(2) Simplify -2 + ((sqrt(2448) + -2 + 3 + sqrt(2448))*-5)**2*-2. -489652 - 2400*sqrt(17) Simplify -4*sqrt(352)/sqrt(8) + -3 + sqrt(11)*3*-5. -23*sqrt(11) - 3 Simplify 2*6*((-1*sqrt(24)/sqrt(2))/((sqrt(120)/sqrt(4))/sqrt(5)))**2*1. 24 Simplify (sqrt(208) + -1 + sqrt(208) + -4)**2*-2 - ((2 + sqrt(208) + 0 + sqrt(208))**2 + (sqrt(208) + 1 + sqrt(208) + sqrt(208) - sqrt(208))*2). -2552 + 112*sqrt(13) Simplify 6*(-4*(-2 + sqrt(605))*4)**2*2. -135168*sqrt(5) + 1870848 Simplify 0 + ((sqrt(52) + 1)*-2 - (sqrt(208) + 5)**2) + -2. -237 - 44*sqrt(13) Simplify 6*((sqrt(1700) + 2 + 2 - sqrt(1700)) + -2 + 4). 36 Simplify ((sqrt(2057) + sqrt(2057)*-2*-5)**2 - sqrt(2057)) + (sqrt(2057) + (-1 + sqrt(2057) + sqrt(2057))**2)*1 + 0. -44*sqrt(17) + 257126 Simplify (-3*(-5*sqrt(1100)*2 + 0 + -2*sqrt(1100) - (2 + (sqrt(1100) - (sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + 2)))))**2. 1980*sqrt(11) + 1197909 Simplify (sqrt(2736)*2 + -2)**2 + sqrt(2736) - ((sqrt(2736) - (2 + -1 + sqrt(2736)))**2 - sqrt(2736)). -72*sqrt(19) + 10947 Simplify (4*sqrt(135)/sqrt(3)*6)/(-5*(sqrt(324) + (sqrt(324)*-2 + sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(324))). 4*sqrt(5)/5 Simplify ((2 + sqrt(1088))*5 + 3 + -3)*3*5. 150 + 600*sqrt(17) Simplify (5 + sqrt(891)*-2*-3 + sqrt(891) + sqrt(891)*-2*1 + sqrt(891))**2. 540*sqrt(11) + 32101 Simplify 5*((5*sqrt(1100) + sqrt(11))*4)**2*5. 11444400 Simplify (-5*3*sqrt(117))/((sqrt(360)/sqrt(8) + sqrt(45))/sqrt(5)). -15*sqrt(13)/2 Simplify 2 + (sqrt(76)/((sqrt(484) + sqrt(484)*3 - sqrt(484)) + sqrt(484) + sqrt(484)))**2*-3. 5993/3025 Simplify ((sqrt(180)*-2)/sqrt(12))/sqrt(5) + 5 + (sqrt(45)/sqrt(3))/sqrt(5). -sqrt(3) + 5 Simplify 2*((sqrt(98) + sqrt(98)*-5 + 3 - sqrt(98))*-5*6)**2. -378000*sqrt(2) + 4426200 Simplify -2 + 2 + -4 + -4 + sqrt(475). -8 + 5*sqrt(19) Simplify -3 + (-1*(4 + 1 + sqrt(7)) - 4*sqrt(448)*2)**2. 650*sqrt(7) + 29597 Simplify (-5 + (sqrt(17) + 0 - sqrt(17)) + 0 - (-1 + sqrt(833) - (sqrt(272) + sqrt(272) + 1 + sqrt(272))))**2*6. -180*sqrt(17) + 2604 Simplify ((3 + sqrt(1377) + 5 + 5 + -5)*3)**2. 1296*sqrt(17) + 12969 Simplify ((sqrt(90)/sqrt(2))/sqrt(9) + -5 + ((sqrt(720) + -2)*-1 - sqrt(720))**2)*4. -380*sqrt(5) + 11516 Simplify (-5 + (sqrt(300) + 2)*6 + -1*sqrt(300)*1)**2. 700*sqrt(3) + 7549 Simplify ((-1 + -4 + (sqrt(1053) + sqrt(1053) + (0 + sqrt(1053) - sqrt(1053)))*6)*1)**2. -1080*sqrt(13) + 151657 Simplify ((0 + sqrt(112))*-4 + 1 + sqrt(252) + -5)*2 + 3. -20*sqrt(7) - 5 Simplify (sqrt(3) - (sqrt(48) + -5) - (sqrt(3) + -1)*-4) + 0 + ((-1*sqrt(192))**2 - sqrt(192)). -7*sqrt(3) + 193 Simplify (sqrt(475) - (sqrt(475) + sqrt(475)*2 + 2)**2) + (2 + sqrt(171) + sqrt(19) + sqrt(19) + 1*sqrt(19) + 3)**2 + -1. -3571 + 5*sqrt(19) Simplify (sqrt(171) - (sqrt(171) + 4*sqrt(171)*1))/(sqrt(360)/sqrt(10)). -2*sqrt(19) Simplify ((2*sqrt(85)*-1)/(3*(sqrt(5) + sqrt(5) + sqrt(80)))*-5 + 3)**2. 10*sqrt(17)/3 + 1154/81 Simplify 5 + ((-1*(sqrt(204)*2)/sqrt(12))**2 - (5*(sqrt(425) + 0) + sqrt(425))**2) + 1. -15226 Simplify (sqrt(24)/(-6*2*sqrt(12)))**2 + 3 - 4*(5*5*(sqrt(8)/sqrt(4) - sqrt(2)))**2. 217/72 Simplify -2 + sqrt(34)/sqrt(2) - (sqrt(425)*-1)**2 - (-5*(sqrt(17) - (sqrt(17) + 0) - sqrt(17)) + sqrt(34)/sqrt(2) + 2)**2. -1043 - 23*sqrt(17) Simplify ((sqrt(405)*-2 - sqrt(405)) + -5 + 2*(sqrt(45) + 0))**2. 210*sqrt(5) + 2230 Simplify -4*(-2 + sqrt(187)/sqrt(176) + -5 + sqrt(153) + sqrt(51)/sqrt(48)). -14*sqrt(17) + 28 Simplify (sqrt(76) + sqrt(76)*2*5 - sqrt(76))/sqrt(4) + (4 + (sqrt(19) - 1*sqrt(19)*-4))**2. 50*sqrt(19) + 491 Simplify (sqrt(384) + sqrt(384) + 3*sqrt(384)*2 + sqrt(384))/(sqrt(60)/(sqrt(10)/sqrt(2))). 36*sqrt(2) Simplify 0 + (5*(-1 + sqrt(1008))*6 - (4*1*sqrt(1008) + sqrt(1008))*-4)**2. -36000*sqrt(7) + 2520900 Simplify -4 + (-4 + sqrt(117) + 1 + -5 - 2*((sqrt(117) + 0)*-3)**2). -2118 + 3*sqrt(13) Simplify (-1 + sqrt(405) + -5)**2 - sqrt(30)/(sqrt(18)/(sqrt(3)*2)). -110*sqrt(5) + 441 Simplify ((-2*sqrt(6)/sqrt(2))**2 + sqrt(3) - sqrt(30)/(sqrt(10)*-2 + sqrt(10))) + sqrt(24)/(sqrt(1400)/sqrt(7)). 11*sqrt(3)/5 + 12 Simplify ((sqrt(3) + 0)**2 + 2 - ((-2 + sqrt(3))**2 + 3)) + -4. -9 + 4*sqrt(3) Simplify ((sqrt(189)*2 - sqrt(21))*3)/(sqrt(49)/(sqrt(21)/sqrt(3)) - (sqrt(7) - sqrt(448)*2)). 15*sqrt(3)/16 Simplify 1 + sqrt(300) - sqrt(3) - (sqrt(3) + 1)*-2 - (sqrt(18)*-2)/sqrt(6)*3. 3 + 17*sqrt(3) Simplify sqrt(14)/((-1*sqrt(6))/sqrt(3)) + (2 + 1*sqrt(847))**2. 43*sqrt(7) + 851 Simplify -1*(6*(sqrt(684)*-3 + sqrt(684) - sqrt(684))**2 + (-1*sqrt(171))**2*-4). -36252 Simplify 0 + (5*(-2*sqrt(3) + 3) + (sqrt(27) - (sqrt(81) - -2*sqrt(81))/sqrt(3))/sqrt(9))**2. -360*sqrt(3) + 657 Simplify 2*((sqrt(330) + (1*sqrt(330) - sqrt(330)))/sqrt(6))/(sqrt(60)/(sqrt(24)/sqrt(2))) + 4. 4 + 2*sqrt(11) Simplify (sqrt(140)/sqrt(4)*3)/(-4*sqrt(500) + sqrt(5)). -sqrt(7)/13 Simplify (1*(sqrt(121) - (sqrt(121) + (sqrt(121)*3 - sqrt(121))) - sqrt(121))*-4)/(sqrt(264)/(3*sqrt(6))). 18*sqrt(11) Simplify (-1*(-1*sqrt(190) - sqrt(190)) + sqrt(190) + -6*(sqrt(190) - sqrt(190)*1))/(sqrt(10) - 1*sqrt(10)*-5 - sqrt(20)/sqrt(2)*-4). 3*sqrt(19)/10 Simplify (sqrt(44)/sqrt(275))/(sqrt(200) + sqrt(200)*-4) + 1. -sqrt(2)/150 + 1 Simplify -4*((sqrt(98) - sqrt(98)*4) + 5 + (sqrt(98) + (sqrt(98) - (sqrt(98) + 2 - sqrt(98)))*1 + sqrt(98))**2). -3564 + 420*sqrt(2) Simplify (sqrt(648)*-3 + sqrt(8))**2 + (sqrt(200) - (sqrt(200) + 2 + sqrt(200) + 3)**2). -190*sqrt(2) + 4583 Simplify (2 + 2*(sqrt(20) + 2) + sqrt(2420) + 2 + 2)**2. 520*sqrt(5) + 3480 Simplify ((sqrt(52)*-1 - (sqrt(65)*-2)/sqrt(5))*5)**2 + ((-2*sqrt(91) + sqrt(91))*4)/(-1*sqrt(63)). 4*sqrt(13)/3 Simplify ((sqrt(343) + -1*sqrt(343))*-4 - (sqrt(343) + sqrt(343) + 1 + 0 - sqrt(343))**2)*-6 + -4. 84*sqrt(7) + 2060 Simplify (1*sqrt(7260))/(sqrt(1728)*-1 - sqrt(1728))*-6. 11*sqrt(5)/4 Simplify (3*(-2 + sqrt(55)/((sqrt(240)/sqrt(4))/sqrt(12)))*5)**2*-6. -20250 + 5400*sqrt(1
{ "pile_set_name": "DM Mathematics" }
0. -1, 0, 1 Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o. -2*o*(o - 1) Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2. -2*b*(b - 1)**2*(b + 1)/9 Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g). g**2/3 Suppose 2 = 2*z + 8. Let w(k) = -2*k**2 + 4*k + 10. Let c(i) = -2*i**2 + 3*i + 11. Let t(y) = z*w(y) + 2*c(y). What is h in t(h) = 0? -1, 4 Let y(c) be the second derivative of c**8/3360 + c**7/560 + c**6/240 + c**5/240 + c**3/6 + c. Let q(z) be the second derivative of y(z). Factor q(h). h*(h + 1)**3/2 Let g(z) be the first derivative of 2*z**5/5 + z**4/4 - 2*z**3/3 - z**2/2 - 6. Factor g(j). j*(j - 1)*(j + 1)*(2*j + 1) Factor -27 + 36*a + 3/4*a**3 - 39/4*a**2. 3*(a - 6)**2*(a - 1)/4 Let i be 1/(-3) - (-143)/195. Let g(f) be the first derivative of 0*f**3 + i*f**5 + 0*f**4 + 0*f + 1 + 1/3*f**6 + 0*f**2. Factor g(x). 2*x**4*(x + 1) Let f(p) = p**2 - p. Let b be f(0). Let k = -38 - -40. Find x, given that -8/5 + b*x + 6/5*x**k + 2/5*x**3 = 0. -2, 1 Let w(q) = q**4 - 29*q**3 - 31*q**2 + 25*q + 26. Let f(j) = 30*j**3 + 30*j**2 - 25*j - 25. Let r(n) = 4*f(n) + 5*w(n). Factor r(b). 5*(b - 6)*(b - 1)*(b + 1)**2 Let t(u) be the first derivative of u**7/5460 - u**6/2340 - u**5/390 - u**3/3 + 7. Let n(k) be the third derivative of t(k). Suppose n(o) = 0. What is o? -1, 0, 2 Let i(u) be the third derivative of -u**6/30 + u**4/2 - 4*u**3/3 + 8*u**2. Factor i(k). -4*(k - 1)**2*(k + 2) Suppose 0 = 4*d - d + 111. Let n = 113/3 + d. Find t such that 2*t**2 + 2*t + 2/3 + n*t**3 = 0. -1 Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b). -2*b*(b - 1)**2*(b + 1)**2 Factor -3/2*q**2 - 3/2*q**5 + 3/2*q**3 + 3/2*q**4 + 0 + 0*q. -3*q**2*(q - 1)**2*(q + 1)/2 Let q be ((-10)/(-7) - (-24)/42) + 0. Factor -1/8*a**q - 1/8*a + 1/4. -(a - 1)*(a + 2)/8 Suppose 5*r = -4*j, -3*r - 17 = -5. Let h(f) be the first derivative of 0*f**3 - 3/5*f**j + 0*f**4 + 0*f - 1/2*f**6 + 2 + 0*f**2. Solve h(t) = 0. -1, 0 Let c(w) be the second derivative of -3*w**4/4 - 10*w**3/3 - 2*w**2 + 3*w. Determine i so that c(i) = 0. -2, -2/9 What is l in -23/4*l + 5*l**2 + 3/2 = 0? 2/5, 3/4 Let o be 6*1*(0 + (-5)/(-10)). What is p in -1/3*p**o + 2/3 + 0*p**2 + p = 0? -1, 2 Let f(g) be the first derivative of -g**6/105 + g**5/70 - 3*g - 2. Let u(a) be the first derivative of f(a). Find b such that u(b) = 0. 0, 1 Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x. -2, -1, 1 Let g = 4033 - 1451879/360. Let o(u) be the third derivative of g*u**6 + 1/9*u**3 - 1/72*u**4 - u**2 + 0 - 1/90*u**5 + 0*u. Factor o(k). (k - 2)*(k - 1)*(k + 1)/3 Let o(y) = y**4 + y**3 - y**2 + y. Let v(w) = 9*w**4 + 11*w**3 - 7*w**2 + w - 2. Let p(l) = 6*o(l) - v(l). Factor p(r). -(r - 1)*(r + 1)**2*(3*r + 2) Suppose -3*f = -w - 0*w - 8, -f = 5*w - 8. Determine q, given that 2*q**4 + 3*q**4 - 3*q**4 - q**f - 2*q + 3*q**3 - 2*q**2 = 0. -1, 0, 1 Let k(g) be the third derivative of g**8/1512 - g**7/315 - g**6/270 + g**5/45 + g**4/108 - g**3/9 + 8*g**2. What is f in k(f) = 0? -1, 1, 3 Let o = 62 + -123/2. Let b(i) be the first derivative of o*i**4 - i**2 - 2 + 4/3*i - 4/9*i**3. Factor b(q). 2*(q - 1)*(q + 1)*(3*q - 2)/3 Let k(n) be the second derivative of -n**6/1440 + n**4/96 - n**3/6 + 2*n. Let o(b) be the second derivative of k(b). Factor o(i). -(i - 1)*(i + 1)/4 Let m(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let g(v) be the first derivative of m(v). Factor g(a). -a**2 Let y(j) be the first derivative of 1/210*j**5 - j**2 + 1 + 1/84*j**4 + 0*j**3 + 0*j. Let w(k) be the second derivative of y(k). Determine m so that w(m) = 0. -1, 0 Let c(m) be the first derivative of -m**5/90 - m**4/18 + 4*m**2 + 6. Let y(d) be the second derivative of c(d). Factor y(a). -2*a*(a + 2)/3 Let u = -17 + 17. Factor c**4 + u*c**3 + 0*c**3 + 4*c**5 - 4*c**3 + 3*c**4 - 4*c**2. 4*c**2*(c - 1)*(c + 1)**2 Let h(n) be the second derivative of 8*n**7/7 - 124*n**6/45 - 53*n**5/20 + 181*n**4/36 - 8*n**3/3 + 2*n**2/3 + 23*n. Suppose h(j) = 0. Calculate j. -1, 2/9, 1/4, 2 Let s(m) = -36*m**3 + 45*m**2 + 15*m - 66. Let n(c) = -7*c**3 + 9*c**2 + 3*c - 13. Let p(a) = -21*n(a) + 4*s(a). Factor p(f). 3*(f - 3)*(f - 1)*(f + 1) Let m be 0 + (3/(-3) - -2). Suppose -2*j - 5*j**2 - j - m + 4*j**2 - 1 = 0. What is j? -2, -1 Let f be ((-2)/21)/(11/(-33)). Let p(x) be the first derivative of -f*x + 2/7*x**2 - 2/21*x**3 - 1. Find t such that p(t) = 0. 1 Let p = 15 - 12. Factor 0*d**5 + 3*d**2 + 9*d**4 + 0*d**4 + 9*d**p + 0*d**5 + 3*d**5. 3*d**2*(d + 1)**3 Let r(n) = 4*n + 32. Let y be r(-8). Let v(i) be the first derivative of -1/3*i**3 - 5/8*i**4 + y*i + 2 + 0*i**2 - 2/5*i**5 - 1/12*i**6. Factor v(j). -j**2*(j + 1)**2*(j + 2)/2 Let a(y) be the second derivative of -1/45*y**5 - 2*y + 1/54*y**4 + 0 - 1/9*y**2 + 2/27*y**3. Factor a(v). -2*(v - 1)*(v + 1)*(2*v - 1)/9 Let j be (-4)/(-3)*(480/66 + -7). Factor -j*r - 10/11*r**2 + 6/11. -2*(r + 1)*(5*r - 3)/11 Suppose -3*l + 13 = -2. What is f in -4*f**3 + 3*f**3 + l*f - f**3 - 3*f = 0? -1, 0, 1 Let u = -10 - -8. Let b be (9/(-6) - 0)*u. Suppose 3 + 12*v**2 + 2*v**b + 4*v + 7*v**3 - 3 = 0. Calculate v. -2/3, 0 Let d = -4/89 + 222/979. Determine y so that 162/11 + 216/11*y + 108/11*y**2 + d*y**4 + 24/11*y**3 = 0. -3 Suppose -19 = 5*y - 54. What is c in y*c**5 - 71/4*c**4 + 0 - 19/4*c**2 + 1/2*c + 15*c**3 = 0? 0, 1/4, 2/7, 1 Let v be -1 - (2 + -1) - -5. Let w(x) = x**3 - 2*x**2 - x - 4. Let s be w(v). Suppose -2*c + 2*c**2 + s*c**3 - 4*c**4 + 5*c**4 - 3*c**4 = 0. What is c? -1, 0, 1 Let k(c) be the first derivative of c**6/1080 + c**5/360 - c**4/36 + 2*c**3/3 - 2. Let l(w) be the third derivative of k(w). Let l(g) = 0. Calculate g. -2, 1 Let a(j) be the second derivative of j**7/420 + j**6/120 - j**4/24 - j**3/12 + j**2 + 3*j. Let m(o) be the first derivative of a(o). Factor m(h). (h - 1)*(h + 1)**3/2 Suppose g**4 + 1/4*g**5 - 3*g**2 - 1/2*g**3 + 0 + 9/4*g = 0. What is g? -3, 0, 1 Let v(m) be the first derivative of 3*m**5/25 + 3*m**4/10 - 3*m**2/5 - 3*m/5 + 3. Solve v(q) = 0 for q. -1, 1 Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0. -1, 0, 1 Let 0 + 0*w - 6/5*w**4 - 6/5*w**3 - 2/5*w**2 - 2/5*w**5 = 0. Calculate w. -1, 0 Let y = -31 - -22. Let o be (1 + y)*(2 + -3). What is a in 2*a**3 + o*a**4 - 4*a**4 - 6*a**2 - 6*a**2 - 14*a - 4 = 0? -1, -1/2, 2 Let d = -144 + 2161/15. Let s(r) be the second derivative of -3/50*r**5 + r + 2/15*r**4 + 0 - 2/5*r**2 + d*r**3. Factor s(y). -2*(y - 1)**2*(3*y + 2)/5 Suppose 0*w = -5*k - 3*w - 4, w = -3. Suppose j - q + 2 = 0, -k + 3 = -5*j + q. Factor 1/4*n**3 - 1/4*n**2 + j - 1/4*n**5 + 0*n + 1/4*n**4. -n**2*(n - 1)**2*(n + 1)/4 Determine o, given that 0 - 2*o**5 + 4/7*o**3 + 10/7*o**4 + 0*o**2 + 0*o = 0. -2/7, 0, 1 Suppose 6*j - 3*j - s = 17, -5*j = 3*s - 19. Let o = j + -3. Solve -8*g**4 - 1 - 2*g**5 + 1 - 8*g**o - 12*g**3 + 2*g - 4*g = 0. -1, 0 Let 3 - 95*y + 92*y + 13*y**2 - 3 - 4*y**3 = 0. What is y? 0, 1/4, 3 Let y(d) be the third derivative of 32*d**6/75 + 16*d**5/15 + 17*d**4/30 + 2*d**3/15 - 3*d**2. Factor y(u). 4*(u + 1)*(8*u + 1)**2/5 Let w(r) = -r**3 + 5*r**2 + 2*r - 6. Let z be w(5). Suppose 2*j + z*a - 20 = 0, -j + 4*a - 16 = -2. Factor 0*q - 2/11*q**3 + 0 - 2/11*q**j. -2*q**2*(q + 1)/11 Let i(l) be the second derivative of l**8/960 + 5*l**7/756 + l**6/180 - l**5/45 + l**4/3 + 2*l. Let b(p) be the third derivative of i(p). Factor b(h). (h + 2)*(3*h + 2)*(7*h - 2)/3 Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1/4*j + 1/4*j**5 + 0*j**3 + x - 1/2*j**2 + 1/2*j**4. j*(j - 1)*(j + 1)**3/4 Let s(w) be the second derivative of 3*w**4/4 - w**3/2 - 3*w**2 + 16*w. Factor s(m). 3*(m - 1)*(3*m + 2) Suppose 12 - 3 = 3*r. Find h, given that 0*h**3 + h**5 + h - 3 + 3 - 2*h**r = 0. -1, 0, 1 Factor -2/9*n**2 - 2/9*n + 4/9. -2*(n - 1)*(n + 2)/9 Let u(k) = 4*k + 4. Let f(g) = -g - 1. Let m(s) = -5*f(s) - u(s). Let l be m(1). Let 8/7*b + 0 + 8/7*b**l + 2/7*b**3 = 0. Calculate b. -2, 0 Let b = 3211/15 + -214. Let t(p) be the first derivativ
{ "pile_set_name": "DM Mathematics" }
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6). -3 Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2). -5 Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*y(o). What is u(1)? -5 Let l = -6 - -8. Let d(t) = 0*t**l - 77*t + t**2 + 69*t - 4. What is d(9)? 5 Suppose 4*m - 140 = -4*w, -3*m - 3*w + 8*w = -73. Let n(z) = m + 20 - 47 - z**2. Suppose 3*b = 4*o, -2*o - 5*b + 23 = -o. Calculate n(o). -5 Let s(h) be the second derivative of -h**5/20 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 284*h. Calculate s(-5). 25 Suppose 0*i = 3*i. Let v(m) be the second derivative of -1/6*m**3 + 0 + m**2 + 23*m. What is v(i)? 2 Let o(y) = 36*y - 2*y**2 - 1 - 8*y**3 - 2*y**3 + 33*y - 67*y. Give o(1). -11 Let s(i) = 27*i**3 + 2*i**2 - 1. Let a be s(1). Let q(b) = 26*b + 1 - a*b - 3. Calculate q(2). -6 Let a(i) = 2*i**3 - i**2 - 2*i - 3. Suppose 6*t = 17 - 29. Give a(t). -19 Let i(t) = -14*t**2 - t - 1. Let v be (24/(-18))/(3/(-9)). Let g(b) = b**3 - 3*b**2 - 6*b + 7. Let k be g(v). What is i(k)? -14 Let t(w) = -w**2 - 6*w - 7. Let z(m) be the third derivative of -m**5/60 + m**3/2 - m**2. Let p be z(-3). Determine t(p). -7 Let o = -3 - 5. Let c(g) = -g**2 - 8*g + 1. Let k be c(o). Let s(b) be the first derivative of b**4 + b**2/2 + 67. Determine s(k). 5 Let f(c) = c**2 + 12*c + 13. Let d(m) be the third derivative of m**5/12 + 61*m**4/24 + 11*m**3 + 2*m**2. Let y(a) = -2*d(a) + 11*f(a). Give y(-8). -5 Let t(m) = 2 - 1 - 2. Let s(a) = a + 3. Suppose z + 5 = 2. Let q(x) = z*s(x) - 8*t(x). Give q(5). -16 Let i(w) = 37 - w - 21 - 20. Give i(9). -13 Let y = 963 - 949. Let j(l) = -l**3 + 14*l**2 - l + 11. Give j(y). -3 Let v(h) = h**2 - 7*h + 5. Suppose -2*b + 14 = 2*m, 3*m = -b + 5*b - 35. Suppose 5*j - b - 12 = 0. Give v(j). -7 Let y(h) = h**3 + 2*h**2 - 5*h - 4. Let n be (-5)/(-4) + 54/72. Suppose 5*v + 0 + 12 = 3*i, v + 5 = -n*i. Determine y(v). 2 Let r(y) = 4*y**2 - 2*y - 1. Suppose 64 = 17*z + 30. Give r(z). 11 Suppose 3*x - 11 = -o, -5*o + 2*o = 3*x - 21. Let k(m) = m. Let a = -25 + 24. Let d(g) = -g**2 + 5*g - 2. Let h(p) = a*d(p) - k(p). Calculate h(o). -3 Suppose -j = -4*j + 2*l - 88, 2*j + 76 = -3*l. Let z = j - -34. Suppose 4*u + z = -6. Let o(r) = 3*r - 2. Give o(u). -8 Let r(b) = -5*b**2 - 5*b - 4. Let g = -1275 + 1273. Calculate r(g). -14 Let l(r) = -r**2 + 13*r - 13. Let g(j) = -2*j**3 + 43*j**2 + 24*j - 34. Let k be g(22). Calculate l(k). 17 Let f(p) = p**2 - 9*p - 38*p**2 + 36*p**2. Determine f(-8). 8 Let z(u) = -23*u**3 + 25 - 22 + 22*u**3 - 7*u**2 + 3*u. Give z(-7). -18 Let n be -1 - ((-38)/14 + 12/(-42)). Let z(l) = 41*l - 85*l + l**n + 43*l + 2. Let i = 1 + -1. Calculate z(i). 2 Suppose -4*a + 35 = u + 1, -a + 4*u = 0. Let v(o) = o**3 - 7*o**2 - 7*o + 10. Determine v(a). 18 Let c = 338 + -333. Let u(x) = -2*x + 6. What is u(c)? -4 Let n(o) = -3*o + 2. Let j be (2 + -5)*(-30)/9. Let z be (-38)/(-14) + j/35. Suppose z*c + 21 = -3*l, -5*c + 3*c - 3*l = 18. Determine n(c). 11 Let k(b) = b**3 - 4*b**2 - b + 1. Let x = -28 - -31. Calculate k(x). -11 Suppose -3*l = -15*l + 96. Suppose -l = -16*g - 24. Let p(s) = s**2 - s - 1. Calculate p(g). 1 Let t(n) = -16 + 8 - 40*n + 7. Give t(1). -41 Let s(j) be the first derivative of -5*j**2/2 - 3*j - 94. Determine s(-4). 17 Let h(a) = 8*a + 50. Let b be h(-6). Let c(t) = -4*t**2 + 3*t - 2. Give c(b). -12 Let k(c) = 0*c - c**2 - 2648 + 2650 + 6*c + 0*c. What is k(9)? -25 Let y(x) = -x**3 - 6. Let v = -9 + -4. Let o be -4 + 2 + (v - 4). Let q = 19 + o. What is y(q)? -6 Let b be -9*2*(-6)/36. Let p(i) = -2*i**2 - 5*i + 4. Determine p(b). -29 Let l(o) be the second derivative of -o**4/12 + 7*o**3/3 - 11*o**2 - 22*o. Let u be l(12). Let m(h) = 7*h + 1. Calculate m(u). 15 Let q be (-8 - -7)/((-1)/3). Let y(z) = q*z + 3*z + 7 - 7*z. Let b(c) = -1. Let o(m) = -6*b(m) - y(m). Give o(-5). -6 Let v(b) = -b**2 + 7*b + 17. Suppose -343*k - 117 = -356*k. Give v(k). -1 Let m(f) = f**2 - 10*f - 14. Let x be m(11). Let n be (0 - -1) + x + 4. Let s(u) = u**2 - u - 1. Calculate s(n). 1 Let n(g) = -3*g - 5. Let d(l) = -8*l - 267. Let r be d(-32). What is n(r)? 28 Suppose 32 = 4*a - 2*a. Let d(h) = -h - a + 34 - 21 + 4*h. Let u(n) = -2*n - 1. Let r be u(1). Determine d(r). -12 Let r(b) = -2*b**2 - 4*b - 2. Let s be r(-2). Let t be 12/s*(-8 + 9). Let a(z) = -11. Let x(w) = -w + 56. Let q(i) = 11*a(i) + 2*x(i). What is q(t)? 3 Suppose -r - 6 = -2*r. Suppose 4*z - 4 = -3*t + 1, 3*z + 3*t = r. Let n(v) = 10*v**2 - 68 + 69 - v**2. Give n(z). 10 Suppose -s - 1 = -2, x = 2*s - 7. Let o(a) = -a - 26. Calculate o(x). -21 Let f(c) be the first derivative of c**3/3 - c - 2. Let r = -21 + 37. Let a = -17 + r. Determine f(a). 0 Let z(g) be the third derivative of 11*g**5/60 - 5*g**4/6 - 7*g**3/2 - 20*g**2. Let n(i) = -4*i**2 + 7*i + 7. Let l(d) = -8*n(d) - 3*z(d). Give l(7). -14 Let m(h) = h**3 + 4*h**2 + 3*h + 1. Let a be m(-2). Let k = -20 + 23. Let d(y) = -y**3 + 3*y**2 + 0*y**k + y - 2*y - 21 + 23. Give d(a). -1 Let m(h) be the second derivative of -h**5/20 + h**4/2 - 7*h**3/6 + 11*h**2/2 + 29*h. Let k be m(5). Let f(x) = -12*x. Determine f(k). -12 Let v = 19 - 12. Let y(s) = -4*s**2 - s**3 - s**3 - 2 + v*s**2 + s. Suppose 3*a - 9*a + 5*t + 32 = 0, 2*t + 8 = 0. Determine y(a). -4 Let b be 1/2*(7 - 232/8). Let k(u) = -u**3 - 10*u**2 + 8*u - 12. Give k(b). 21 Let w(i) = i**3 - 1. Let u be w(0). Let k(x) = -11*x**2 - x**3 + 9*x**2 - x**3 + 4*x**2 + 2*x + 1. What is k(u)? 3 Let d(q) = -27*q + 212. Let w be d(8). Let o(z) = z**3 + 4*z**2 + 3*z + 6. Give o(w). -6 Let v(s) = -4853*s**2 - 4*s - s**3 + 4866*s**2 - 6 - 7*s. Calculate v(12). 6 Let w(k) = -k**3 - 5*k**2 + 5*k - 6. Let z be 2*(-1 + 2) - 3. Let a be z*(-1 + -1) + 4. Suppose -o = -2*o - a. Give w(o). 0 Let j(q) = 6*q - 41. Let f be j(8). Let x(r) = -r + 0 + 8 + 1 - f. Give x(8). -6 Let k(q) = q**3 + 8*q**2 - 10*q. Suppose -39 = 4*j + w, -2*j - 33 = -2*w + 7*w. Determine k(j). 9 Let k(v) be the second derivative of 3*v**5/20 + v**4/12 + v**3/6 + v**2/2 - 14*v. Let x be k(-1). Let n(y) = y**2 + y**2 - y**2 + 2*y. What is n(x)? 0 Let d be 14/28*(-3 - 1) - -4. Let g(h) = -3*h**2 + 5*h - 4. Let a be g(d). Let p(k) = -2*k + 5. What is p(a)? 17 Let p be (9/(-6))/(15/20). Let h be (1/p)/((-4)/48). Let y(n) = 7*n + 1. Let s(x) = x. Let j(w) = h*s(w) - y(w). Calculate j(-3). 2 Suppose 0 = 2*o + 2*o. Let r(m) = m - 2 + 1 + o*m + 2. Calculate r(5). 6 Suppose -u = -2 - 3. Let a(d) = -d**3 + 6*d**2 - 6*d - 2. Let o be a(u). Let w(k) = 3*k + 8. Determine w(o). -13 Suppose -2*k - k + 12 = 0. Let n be (0/1 - 1)*-7. Let s(q) = 4*q - 17. Let b(o) = 2*o - 9. Let g(f) = n*b(f) - 4*s(f). Give g(k). -3 Let o(z) = -z**3 - 10*z**2 - 29*z - 1. Let x(u) = -u**3 - 11*u**2 - 26*u - 1. Let n(s) = 4*o(s) - 5*x(s). Give n(-14). 1 Let p(q) = -q**3 - 7*q**2 + q + 20. Let j(u) = -3*u**3 - 20*u**2 + 4*u + 59. Let z(h) = -3*j(h) + 8*p(h). Give z(-4). -1 Let l(q) = 2*q**2 + q. Suppose 3*y + 19 = -4*x, 135*y = 139*y + 20. Give l(x). 1 Let a(d) be the first derivative of -11*d**2/2 - 1. Suppose k = -k. Suppose u - 1 + 0 = k. Calculate a(u). -11 Let l(v) = -v - 2*v + 21 - 16 + 6*v. Let d(w) be the first derivative of 5*w**2 + 16*w + 1. Let n(g) = 2*d(g) - 7*l(g). Calculate n(0). -3 Suppose 0 = -h + 2*b - 3*b + 5, 0 = h + 3*b + 5. Suppose -5*z - 115 = h. Let m = z + 19. Let w(j) = j**3 + 6*j**2 + 6. Calculate w(m). 6 Let u(k) = -k - 1. Let r(s) = s - 5. Let w be r(4). Let v(q) = -4*q - 12. Let y(p) = 2*p**2 - 9*p + 10. Let a be y(4). Let o(n) = a*u(n) + w*v(n). Give o(4). -2 Suppose -4*v = -0*v - 12. Suppose 6*r = v*r + 6. Let y(k) = -3*k**2 + 0*k**r + k**3 + 6 - 8. Give y(3). -2 Let c(q) = -17*q**2 + 34*q + 3. Let o(g) = -12*g**2 + 23*g + 2. Let l(k) = 5*c(k) - 7*o(k). Give l(10). -9 Suppose -16*o - 34 = 3*u - 15*o, -2*o - 24 = 2*u. Let p(f) = 2*f**2 + 21*f - 18. Give p(u). -7 Let h(z) = 10 - 4 + 9 - 11*z + z**2. Let t be h(11). Suppose u - 5*d + 2 = -1, -2*d = -5*u - t. Let c(m) = -2*m + 3. Give c(u). 9 Let a(j) = j**3. Let u be ((42/(-7))/(-6))/((-1)/11). Let p be (-20)/u + (-12)/(-66). Determine a(p). 8 Let f(h) = -h**3 + h**2 - h. Let b(o) = o**2 + 3*o - 3. Let u(t) = -b(t) -
{ "pile_set_name": "DM Mathematics" }
*j**2*s - 357*j**2 + s wrt j? -6*a**3*s - 5120*s - 714 What is the third derivative of 12129512*l*s**4 + 732562*l*s**2 - 3*s**2 wrt s? 291108288*l*s Find the first derivative of 2*a**2*j**2 - 52454*a**2 - 371143*a*j**2 + a*j - 20*a + j wrt j. 4*a**2*j - 742286*a*j + a + 1 What is the third derivative of 238758*w**3*y**3 - 74*w**3*y**2 + 55*w**2*y**2 - 3*w**2*y + 2*w*y**3 + w*y**2 - y**2 wrt y? 1432548*w**3 + 12*w Find the third derivative of -257*v**4 - 189648*v**3 - 749081311*v**2 wrt v. -6168*v - 1137888 What is the second derivative of -9785*j**4 - 751*j**3 - 14449703*j? -117420*j**2 - 4506*j What is the second derivative of 6299501*h**3 - 201946506*h wrt h? 37797006*h What is the second derivative of 1153339249*z**3 - 648410807*z wrt z? 6920035494*z What is the third derivative of 845576440*c**3*k + 278*c**2 - 180*c*k + 2*c + 31*k - 3 wrt c? 5073458640*k What is the second derivative of -39135*j**2*y**2 + j**2*y - 25*j**2 + 76*j*y**4 + 236*j*y + 29*j + 5 wrt y? -78270*j**2 + 912*j*y**2 What is the second derivative of 50898976*b**4 + 2*b**2 - 562355310*b? 610787712*b**2 + 4 Find the second derivative of -31335*q**4 - 11222*q**3 - 6098814*q + 27. -376020*q**2 - 67332*q What is the second derivative of 238424*d**5 + 47*d**2 - 6208808*d wrt d? 4768480*d**3 + 94 Find the first derivative of -79230811*z**2 - 464379137 wrt z. -158461622*z Differentiate 2*j**3*y - 64727971*j**3 - 4865948*j**2*y**2 with respect to y. 2*j**3 - 9731896*j**2*y Differentiate 4447015*o - 1209284 with respect to o. 4447015 Differentiate 195036835*n - 107877282 wrt n. 195036835 Find the second derivative of -80696*q**2*v**2*y**2 + 521*q**2*y**2 - q**2*y - 51*q*v + 391*v**2*y + v*y + 59*y wrt y. -161392*q**2*v**2 + 1042*q**2 What is the second derivative of 3*x**4 + 86*x**3 + 10505*x**2 + 2895422*x + 2? 36*x**2 + 516*x + 21010 Differentiate -13*d*h*v**2 - 760050*d*h - 2430*h*v**2 + 6*h + 3*v**2 - 2*v + 3 wrt d. -13*h*v**2 - 760050*h What is the first derivative of -68191733*t**2 + 107383883 wrt t? -136383466*t What is the first derivative of -22*l**3 + 610774*l**2 - l - 172119487? -66*l**2 + 1221548*l - 1 What is the third derivative of -24698140*c**5 - 2*c**2 - c + 65822? -1481888400*c**2 Find the third derivative of 11243757*q**3*y - 465*q**2*y + 4780*q**2 wrt q. 67462542*y Find the third derivative of 2629883*l**5 + 10*l**4 + l**2 + l + 16382188 wrt l. 157792980*l**2 + 240*l What is the third derivative of -186244783*n**3*s**2 + 2*n**3*s - 9*n**2*s**2 - 7*n**2*s - 14*n*s**2 - 62042*n wrt n? -1117468698*s**2 + 12*s Find the first derivative of -19953*l**2*s + 38*l**2 - 5*l*s - 2*l + s + 5973114 wrt l. -39906*l*s + 76*l - 5*s - 2 What is the first derivative of -1863*n**2 - 96538*n + 816631652 wrt n? -3726*n - 96538 Differentiate 2297288*n**3 - 2979728. 6891864*n**2 What is the third derivative of n**5 + 42105238*n**4 + n**3 + 5*n**2 - 14289*n + 5? 60*n**2 + 1010525712*n + 6 Differentiate -13856*z**3 + 4*z**2 + 50*z + 915314. -41568*z**2 + 8*z + 50 Find the second derivative of -6387688*j**3 + 4591587*j. -38326128*j What is the derivative of -4693*f**4 - f**2 - 46*f + 4273251 wrt f? -18772*f**3 - 2*f - 46 What is the second derivative of 61480*p**4 - 97675618*p? 737760*p**2 What is the third derivative of -d**2*o**3 + 3369813*d**2 - 1029*d*o**3 + 14*d*o**2 + 10472*o**3 wrt o? -6*d**2 - 6174*d + 62832 Find the first derivative of 5*k**3 - 10*k**2 - 2727*k + 38501954. 15*k**2 - 20*k - 2727 Find the second derivative of 7314003*c**2 + 11521494*c. 14628006 Find the first derivative of -41*j**2*y - j**2 + 327*j*y**2 + 6*j + 2*y**2 + 89208036 wrt j. -82*j*y - 2*j + 327*y**2 + 6 Differentiate -1476*c*l**3 + 52*c*l*q + 1284*l**3*q - 990*q with respect to c. -1476*l**3 + 52*l*q Find the second derivative of -26582345*c**2 + 85652722*c wrt c. -53164690 Differentiate -7999217*j**2 + 2*j + 138506509 wrt j. -15998434*j + 2 Find the second derivative of -13343*m**3*o - m**3 + 9*m**2 + 73*m*o - 19*m - o - 120 wrt m. -80058*m*o - 6*m + 18 Find the second derivative of 24864095*l**2 + 91346181*l wrt l. 49728190 Find the third derivative of -56893*i**3*x**3 + 143862*i**3*x**2 - 1500*i*x**3 + 4*i*x**2 - 5*i*x wrt x. -341358*i**3 - 9000*i Find the second derivative of 192*d**2*y**3 + 146870*d**2*y - d*y**3 + 15*d*y**2 - 1145*d*y - 123*y**3 - 2*y wrt d. 384*y**3 + 293740*y Find the second derivative of -723210*m*t**2*y + 3*m*t**2 + 690*m*t*y**2 + 5777*m*t*y + 5*t**2*y**2 - t*y wrt t. -1446420*m*y + 6*m + 10*y**2 What is the derivative of -32576*v**3 + 170*v - 14007453 wrt v? -97728*v**2 + 170 What is the third derivative of -25*o**3*p**3 + o**3*p**2 + 595*o**3 + o**2*p**3 + 158*o**2*p**2 + 56*o**2*p + o*p**2 - 115*p**3 wrt o? -150*p**3 + 6*p**2 + 3570 Find the first derivative of -13014959*z**2 - 10151689 wrt z. -26029918*z What is the first derivative of s**3 + 41*s**2 + 6769*s - 387048314? 3*s**2 + 82*s + 6769 Find the third derivative of -80423*s**3*u**2 + 36*s**3 - 41*s**2*u**2 + 8836*s**2 + s*u**2 + 11*u - 1 wrt s. -482538*u**2 + 216 Find the first derivative of 7806755*a**4 - 17124700. 31227020*a**3 What is the second derivative of f**5 + 23604*f**3 - f**2 - 83*f + 40295 wrt f? 20*f**3 + 141624*f - 2 Find the second derivative of 553279479*n**2 + 11566619*n + 6. 1106558958 Differentiate -1116337825*h**4 + 709826348 with respect to h. -4465351300*h**3 What is the first derivative of -5662071*y - 10038146? -5662071 Find the third derivative of 5533472*f**3 + f**2 + 3567855. 33200832 Find the first derivative of 1486*v**2 + 3798*v - 31109060 wrt v. 2972*v + 3798 Differentiate 17*h*t - 1099286*h + 48198*t - 1672 with respect to h. 17*t - 1099286 What is the second derivative of -14141*h*i*z**2 + 11*h*i*z + 356*h*z**2 + 4*h - 2*i*z**2 - 1197*i*z + 3*z wrt z? -28282*h*i + 712*h - 4*i Find the second derivative of 13874738*l**2 - 22874*l - 114. 27749476 What is the second derivative of 128799663*j**2*o**2 + 149*j**2*o - 452*j**2 - 2*j*o + 2*j - 1 wrt o? 257599326*j**2 What is the second derivative of 242*v**4 - 10*v**3 - 207*v**2 - 9349554*v? 2904*v**2 - 60*v - 414 Find the third derivative of 546*b**5 + b**4 + 246*b**3 + 1848099*b**2. 32760*b**2 + 24*b + 1476 What is the second derivative of -2*j**3*m**2 - 4*j**3*m - 13*j**3 - 88*j**2*m + 7*j - 710251*m**2 - m wrt m? -4*j**3 - 1420502 What is the third derivative of -8333469*h**3*j**6 - 2*h**3*j**2 + 4*h**3 - h**2*j - 7831*h**2 wrt j? -1000016280*h**3*j**3 What is the second derivative of -20*c**3 + 15138965*c**2 - 20639728*c + 18 wrt c? -120*c + 30277930 Differentiate 91365906*h*x**2 - 16569610*x**2 with respect to h. 91365906*x**2 Find the second derivative of 5049248*c**2 - 58790*c + 10 wrt c. 10098496 What is the third derivative of 3427438*m**5 + 2*m**3 - 11810512*m**2? 205646280*m**2 + 12 What is the third derivative of -500148*q**2*w**3 - 22*q**2*w + 2*q*w**2 - 38*q - 333*w**5 - 6621*w**2 wrt w? -3000888*q**2 - 19980*w**2 Find the third derivative of 25025095*p**3 - 28684101*p**2 + 2*p. 150150570 Find the second derivative of -188900709*r**2*v - 528234*r*v - 51*r wrt r. -377801418*v What is the derivative of -38190778*c*u**2 + 2*c + 5794640 wrt u? -76381556*c*u Differentiate 25*i**4*j**2 + 775465*i*j**2 - 130105021*j**2 with respect to i. 100*i**3*j**2 + 775465*j**2 Find the second derivative of 22144*k**5*m - 524*k**3*m - 22*k*m - m - 756 wrt k. 442880*k**3*m - 3144*k*m What is the third derivative of 248*w**6 + 317*w**5 + 2*w**4 - 2289443*w**2 - 4? 29760*w**3 + 19020*w**2 + 48*w Find the first derivative of 2*o**3 + 3*o**2 - 3277948*o + 74543552 wrt o. 6*o**2 + 6*o - 3277948 What is the second derivative of -33864891*p**5 - 6*p**2*r - 49*p*r + 610*p + 666*r wrt p? -677297820*p**3 - 12*r What is the derivative of -1081*y**2 + 1229*y + 68202160 wrt y? -2162*y + 1229 Find the third derivative of 11*m**2*p**3 - 15*m**2*p**2*v**2 + 15*m**2*p*v**2 + 2489420*m**2*v**3 + m*p**3*v**2 + 23*p**3*v**3 - 4*p**3*v**2 + 33*v wrt v. 14936520*m**2 + 138*p**3 Find the second derivative of 5970758*p**4 + 1520*p - 94. 71649096*p**2 What is the third derivative of 370*k**6 - 8968*k**3 - 6963179*k**2 wrt k? 44400*k**3 - 53808 Find the first derivative of -289013938*n**3*w + 20029*n**3 + 385*n - 1 wrt w. -289013938*n**3 Differentiate -502*o**4 + 129*
{ "pile_set_name": "DM Mathematics" }
18 + 818*p**3 + 825*p**3 - 1642*p**3 as f*p + q + o*p**2 + t*p**3 and give q. -18 Rearrange 5*n + 3 - 3 + 2 - 2 - 2*n + 2*n - n + n + (-2 + 0 + 0)*(-2 + 2 - n) - n + 1 - 1 - 40*n + 2 + 11*n - 19*n to the form d*n + l and give d. -42 Rearrange (0 + 0 - 2)*(7*t + 6*t**2 - t**2 - 9*t) to g*t**2 + b*t + r and give b. 4 Rearrange 73 + 70 + 77 - 1417*r - 220 to u + d*r and give d. -1417 Express -3*r**2 + 0*r**2 + 2*r**2 + (-60*r - 93 + 93)*(r - r - 2*r) as o*r**2 + v*r + g and give g. 0 Rearrange -57*i**2 + 0 - 3 + 60*i**2 - i - 2*i**3 to f*i**2 + d + v*i + q*i**3 and give d. -3 Rearrange -955 - 938 + 1893 - 2*t + 102*t**2 to the form w*t + h*t**2 + o and give w. -2 Rearrange (0 + 1 - 7)*(5 + 1 - 4)*(2*w + 3*w - 4*w)*(-5*w + 6*w + 0*w) + 221*w**2 - 110*w**2 - 130*w**2 to s + y*w + o*w**2 and give o. -31 Express -1 + 2*h + 6 + 1 + (-9 - 7 + 7)*(3*h - 5*h + h) in the form q*h + y and give y. 6 Express 9*o**3 + 10*o**3 + 16*o - 14*o**3 + (4*o**2 + o**2 - 3*o**2)*(0 - o + 0) as q + j*o**2 + f*o + m*o**3 and give f. 16 Rearrange (-3 + 4 + 1)*(-50*m + 575*m - 200*m - 1 + 3) to z*m + i and give z. 650 Rearrange 491*g + 60449 - 60449 to o + h*g and give h. 491 Express -46 + 7*o + 46 + (-o + 0*o + 7*o + (-4*o + 2*o + 3*o)*(-3 - 3 + 5))*(1 + 4 - 4)*(0 - 4 + 3) as d*o + w and give d. 2 Rearrange (9 - 4*c - 9)*(-3 - 4 + 5) + 2*c - 4*c + 0*c - 6*c - 5*c + 4*c to x*c + q and give x. -1 Rearrange (2 - 1 - 3)*(1 + 5 - 5)*(-a + 2*a**2 + a) + (0*a - 8*a + 0*a)*(-3*a - a + 6*a) to the form z*a**2 + h*a + n and give z. -20 Express (4*r**2 - r**2 - 5*r**2)*(21 + 19 - 25) + 10*r**2 - 2*r**2 + 0*r**2 as p*r + q + h*r**2 and give q. 0 Express (129*t - 737*t - 470*t)*(2*t**2 - 4*t + 4*t) in the form u + a*t**3 + o*t**2 + c*t and give u. 0 Rearrange -3 + 2 - 546*y + 1 + 77*y to the form t*y + x and give t. -469 Rearrange (2 + 1305*n + 100*n**2 - 1305*n)*(n - 4*n + 2*n + (-5*n + 0*n + 4*n)*(2 + 0 - 1))*(1 - 4 - 2) to the form d*n + w*n**2 + p + l*n**3 and give p. 0 Express (-112*r + 112*r - 4*r**2)*(-11*r - 16*r**2 + 3*r**2 - 5107 + 5105) as k*r**4 + y*r**2 + d*r**3 + q + h*r and give d. 44 Rearrange -w**2 - w**3 - 4*w**3 - w**2 - 2 + 2*w**2 to r*w**3 + l*w + y*w**2 + n and give n. -2 Rearrange 365*w**4 + 43*w**3 + w**2 - 3 + 5 - 363*w**4 to the form q*w**3 + y + a*w**2 + d*w + k*w**4 and give y. 2 Rearrange -v + 2*v**2 + 1230 - 1251 + v to k*v + x + h*v**2 and give x. -21 Express 39*a - 114*a + 38*a + 39*a + 69 as j*a + q and give q. 69 Rearrange 3*d**4 + 0*d**4 - d**4 + (1 + 3 - 2)*(414*d**4 + 214 - 214) to the form z*d**3 + f + k*d + y*d**4 + p*d**2 and give y. 830 Rearrange -5*x**3 + 4*x**3 - 4*x**3 - 6*x**2 + 14*x**3 to the form n*x + i*x**2 + k*x**3 + o and give k. 9 Rearrange -38 + 4*k**3 - 2*k**3 - 7*k**3 + 34 to the form f*k**3 + a*k + u*k**2 + y and give y. -4 Express -206*k + 414*k - 208*k + 55*k**2 in the form y*k**2 + l*k + x and give y. 55 Express 3*j**4 - j**4 - 341*j**2 + 110*j**2 + 113*j**2 + 119*j**2 - 23*j as h*j**3 + g*j**2 + k*j + x + a*j**4 and give k. -23 Express -895*p - 12307 + 12307 as a + u*p and give a. 0 Rearrange 4*a + a**4 - a**3 + 2 + 13*a**2 - 16*a**2 - 8*a**2 to the form c*a + l + b*a**2 + o*a**4 + n*a**3 and give c. 4 Rearrange (168 - 95 + 365)*(d + 0*d + 0*d) to y*d + c and give c. 0 Express -5 - 7 + 4*w**3 + 0*w**3 - 3*w**3 in the form i*w**2 + z + q*w**3 + h*w and give q. 1 Express 3*g - 94*g**3 - 93*g**3 + 58*g**3 + (3 - 2 - 2)*(2*g**2 + g**3 - 2*g**2) - g**3 - 4*g**3 + 3*g**3 as d*g**3 + b*g**2 + a*g + h and give d. -132 Rearrange -142 - 127 + 268 + 1402*h to the form o*h + j and give o. 1402 Rearrange (1 + 10 + 1)*(74*h**2 + 75*h**2 - 2*h - 155*h**2 - 3) to the form g*h**2 + t*h + c and give t. -24 Rearrange 3*r + 13*r - 5*r + (-2*r + r + 2*r)*(71 + 211 - 48) to s*r + h and give s. 245 Express 1 + 1 - 8 - 1553*n + 1431*n in the form a*n + h and give a. -122 Express -21 + v**2 + 231 + 3*v**2 + 30 - 3*v**2 as w*v**2 + m*v + u and give w. 1 Express (-3*c + 5*c - 3*c)*(13 - 29 + 17 + 808*c + 182*c) as k*c + a + u*c**2 and give u. -990 Rearrange -21 + 18 - 266 + 2*r to the form u + q*r and give q. 2 Express (27 - 67 - 38)*(j - 3 + 3)*(4*j - j + 0*j) in the form g*j + h*j**2 + l and give h. -234 Rearrange (-24*i + 110 - 110)*(0 - 2 + 0)*(-3 + 3 + 5*i) to k + h*i**2 + l*i and give h. 240 Rearrange -2*g**2 - 2*g**4 - 8 - 11991*g + 11989*g + 3*g**2 + g**3 to the form p + b*g + a*g**3 + u*g**4 + d*g**2 and give p. -8 Rearrange (3*i - 3*i + 4*i)*(-2*i + 2*i**2 + 2*i) + 4*i**3 + 0*i**3 - 6*i**3 to g*i**2 + s + f*i + v*i**3 and give v. 6 Rearrange -69*x**3 - 1 + 13*x**3 - 2*x + 1 to the form j*x**2 + r + q*x + y*x**3 and give y. -56 Express 173*x**2 + 168*x**2 - 340*x**2 + 6*x + 2*x**4 in the form r*x**2 + c + v*x**3 + m*x**4 + l*x and give l. 6 Express -a**4 - 5*a**4 + 4*a**4 + (-3*a**4 + 4*a**4 - 3*a**4)*(10 - 13 - 10) - 4*a**4 + a**4 + 2*a**4 in the form r*a**3 + m*a**4 + t + j*a**2 + q*a and give m. 23 Rearrange -182*l**2 + 161*l**2 - 192*l**2 - 165*l**2 to p*l + z*l**2 + w and give z. -378 Express -t + 0*t - 6*t + (-3*t + 2*t - t)*(2 - 1 + 0) + 0*t - 3*t + t - 7*t + t + 4*t as h + b*t and give b. -13 Rearrange (265*x - 2 - 152*x - 131*x)*(0 - 3 - 2) to q + a*x and give a. 90 Rearrange -10*c**3 - 2*c**3 + 2*c**3 + 7*c**2 - c + 11*c**3 - 6*c**4 to the form p*c**3 + b + u*c**4 + z*c**2 + y*c and give y. -1 Express (3*z - 3 + 3)*(0*z**2 - 68*z**2 - 32*z**2) as g*z**2 + y*z**3 + h + f*z and give y. -300 Rearrange (0 + 0 + 4)*(9864 - 9864 + 750*b**4) to t*b**2 + y*b**3 + f*b + g*b**4 + w and give f. 0 Rearrange -462*k**3 - 2*k - 28 - 43 + 69 + 2*k to t*k**3 + f + s*k + q*k**2 and give f. -2 Rearrange -7*m**3 - 5*m**4 + 4*m**3 + 3*m**4 - m**4 - 2*m + 2*m**3 to z*m**4 + o + s*m + k*m**3 + w*m**2 and give s. -2 Rearrange (3 + z**2 - 1 + 0)*(2*z + z + 2*z) to the form p*z**3 + b*z**2 + n + s*z and give p. 5 Express 61*m + 36*m + 1 - 19*m - 4 in the form k + u*m and give u. 78 Express -k + 200*k**2 + 109*k**2 - 52*k**2 + 61*k**2 in the form m*k**2 + j + x*k and give m. 318 Express (-4*x**2 + 2*x**2 + x**2)*(22*x + 237 - 237) + (-2*x**2 + 2*x**2 - 2*x**3)*(-4 + 0 - 3) in the form u + g*x**3 + f*x**2 + q*x and give u. 0 Express (-2*k - 1 + 1)*(2 + 0 - 1) - 607*k - 616*k + 68*k - 760*k in the form h + m*k and give m. -1917 Rearrange -83*h - 582*h - 31*h - 277*h to the form a*h + u and give a. -973 Rearrange (-484 - 269 - 1284)*(-3*u**4 + u**4 + 3*u**4) to h*u**4 + a*u**3 + w*u**2 + g + x*u and give h. -2037 Express (-1 + 4 - 5 + (0 - 1 + 0)*(2 - 2 + 2) - 17 - 7 + 13)*(2*v - 7 + 7) in the form q + y*v and give y. -30 Rearrange (0*y + 3*y - 4*y)*(-6 + 1 + 3 + (2 - 3 + 0)*(0 - 3 + 2) + 1 + 2 - 1 + 5 - 3 + 1) to a + f*y and give f. -4 Express (32*p - 18727 + 18727)*(-86*p**2 + 86*p**2 + 4*p**3) + p**3 + p**4 - p**3 in the form m*p + z*p**4 + q + x*p**2 + g*p**3 and give z. 129 Rearrange (20*p - 104 + 2*p**2 + 104)*(-6*p + 3*p - 3*p) to the form j*p + u*p**3 + n + g*p**2 and give g. -120 Rearrange 3*t**4 + 132 + 20*t**3 - 131 - 6*t**2 - 21*t**3 to j*t**2 + i*t**3 + l*t**4 + x + s*t and give l. 3 Rearrange 364*d**2 + 696*d**2 + 53*d**2 + (-d - 1 + 1 + 1)*(d + d + 0*d) to the form i*d**2 + m*d + v and give i. 1111 Express 103 + 0*u**3 - 5*u**2 - 3*u**3 - 106 as h + v*u**2 + g*u + s*u**3 and give s. -3 Express (-2 + 6 - 2)*(3*g + 90*g + 240*g) in the form m*g + v and give m. 666 Rearrange (1 + 2 + 2)*(-6*w - 3*w + w)*(-4 + 1 + 6) to y*w + t and give y. -120 Express (-29*v**2 + 29*v**2 - 48*v**3)*(-2 + 1 + 0) as j + z*v**3 + x*v + w*v**2 and give z. 48 Express 78*x + 278*x - 155*x + 203*x in the form d*x + w and give d. 404 Express 2*y**4 - 2000*y**3 + 2002*y**3 - 2*y**2 - 2*y + 5*y**4 as t*y**3 + s + m*y + o*y**2 + v*y**4 and give m. -2 Rearrange (-8*g + 0*g - 3*g)*(-2*g - 2 + 2) + 18*g - 18*g - 13*g**2 to b*g + a + v*g**2 and give v. 9 Express (-3 + 0 + 1)*(-130*p - 60*p + 551*p)*(0 - p**2 + 0) in the form m*p**2 + y*p**3 + r*p + j and give y. 722 Rearrange -5*o**3 + 6*o**3 - 4187*o**4 + 4234*o**4 + 4 to f*o**2 + m + v*o + t*o**3 + r*o**4 and give t. 1 Express 0*n**2 - 4*n + 9 + 12*n - n**3 + n**2 - 12 as j*n**2 + m*n**3 + f*n + d and give m. -1 Rearrange 3*i**2 + 25*i**2 + 7*i - 20*i**2 + 74*i**2 to o + a*i**2 + g*i and give g. 7 Express -2234*a + 90 + a**3
{ "pile_set_name": "DM Mathematics" }
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)). 21*n Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)). 105370*b**2 Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)). 6496*q + 777 Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + 0*u + 9/10*u**5 + 27*u**2 + 0*u**4. Calculate p(v(f)). 5832*f**4 Let z(a) = -3*a. Let h(t) = -157778*t. Calculate z(h(j)). 473334*j Let v(j) = -2*j - 8. Let z be v(-6). Let n be 1/(-4*z/(-32)). Let l(t) = -31*t + 2 - n + 28*t. Let k(u) = -u. Calculate l(k(o)). 3*o Let r(g) = 5. Let d(a) = a + 25. Let y(p) = 2*d(p) - 10*r(p). Let f(q) = 181*q + 2. What is y(f(l))? 362*l + 4 Let z(u) = 3*u. Let p(d) = -91*d**2 + 26. Determine p(z(h)). -819*h**2 + 26 Let s(x) be the third derivative of x**4/3 + 3*x**2. Suppose 5*d - 4640 = -2*l, -4*d - 4*l + 367 + 3357 = 0. Let n(w) = d - 3*w - 926. Give n(s(q)). -24*q Let a(f) = 67349*f**2. Let h(z) = -3*z. Calculate h(a(p)). -202047*p**2 Let r(x) = 5*x + 6. Let o(s) = 42*s + 51. Let l(y) = 6*o(y) - 51*r(y). Let u(z) = 48*z. What is u(l(d))? -144*d Let c be ((-6)/(-162))/(4/18). Let h(i) be the second derivative of 3*i + c*i**3 + 0 + 0*i**2. Let t(a) = -6*a. Give h(t(v)). -6*v Let z(s) = 4*s - 24. Let b(x) = 3*x + 44. Let g(i) = i + 16. Let y(t) = -4*b(t) + 11*g(t). Determine y(z(l)). -4*l + 24 Let o(s) = -2*s. Let t be 1/((-3)/(-60)*4). Let u(i) = -4*i - 6*i - 10*i + t*i. Determine u(o(n)). 30*n Let v(t) = t**2. Let q = -86 - -88. Let i(o) = 1387*o - 1387*o - q*o**2. Calculate i(v(h)). -2*h**4 Let l(r) be the second derivative of 4*r**3 + 2*r. Let n(s) = -1069360 + 1069360 + 2*s**2. Give n(l(p)). 1152*p**2 Let l(z) = -2*z - 1993. Let j(c) = -120*c**2 + 2*c. Give l(j(i)). 240*i**2 - 4*i - 1993 Let h(o) = -39*o**2 + 5. Let i(r) be the second derivative of 44*r**4/3 - 11*r**2 + 39*r. Let b(u) = -22*h(u) - 5*i(u). Let d(g) = g. What is b(d(m))? -22*m**2 Let l(x) = 282 + 284 + 27*x - 566. Let o(p) = 2*p. Let s(z) = -z. Let a(k) = -o(k) - s(k). Give l(a(g)). -27*g Let s(p) = -61*p. Let l(j) = 1220*j. Calculate l(s(k)). -74420*k Let k(v) = -7*v**2. Let d(u) = -3*u - 753. Determine k(d(i)). -63*i**2 - 31626*i - 3969063 Let i(o) = 3*o - 2. Let z(m) = 4*m + 152. Determine z(i(u)). 12*u + 144 Let p(w) = -4*w**2. Let o(z) = 13*z**2 + 5*z. Let i(y) = -6*y**2 + 15992 - 15992 - 2*y. Suppose 0 = b - 3 + 1. Let g(m) = b*o(m) + 5*i(m). What is g(p(c))? -64*c**4 Let y(l) = 4*l**2. Let k(u) = 43*u - 12. Let p(z) = 4300*z - 1204. Let t(s) = 301*k(s) - 3*p(s). What is y(t(w))? 7396*w**2 Let c(s) = 33*s - 9. Let m(t) = 16*t - 5. Let y(w) = 5*c(w) - 9*m(w). Let u(g) = g + 1. Let z(a) = -3*a - 2. Let l(i) = 6*u(i) + 3*z(i). What is l(y(b))? -63*b Let m(j) be the third derivative of 0 + 0*j + 7/60*j**5 + 0*j**3 - 2*j**2 + 0*j**4. Let i(z) be the second derivative of -z**4/6 - 26*z. Calculate i(m(f)). -98*f**4 Let x(o) = 98*o**2. Let l(v) = 4205*v**2. Calculate x(l(p)). 1732838450*p**4 Let k(o) = 2391*o - 14. Let c(a) = -6*a. Determine k(c(q)). -14346*q - 14 Let h(k) = -12*k**2. Let v(u) be the second derivative of u**4/6 + 23*u**2 - 2*u + 8. Let a(o) be the first derivative of v(o). What is a(h(g))? -48*g**2 Let j(z) = -3*z. Let o(t) = 701*t. Let k(h) = -2*j(h) - o(h). Let s(a) = a. What is s(k(y))? -695*y Let g(z) = -13*z - 2436. Let j(b) = b. Determine g(j(y)). -13*y - 2436 Let m be (-1)/2*2*-2. Let i = m + 0. Let q(t) = 8*t**i + 9*t**2 - 16*t**2. Let h(p) = 3*p**2. Give q(h(g)). 9*g**4 Let x(c) = c - 425396. Let z(g) = 2*g**2. Determine x(z(b)). 2*b**2 - 425396 Let m(j) = 32*j - 11. Let o(q) = -12*q - 5. Let a be o(-3). Let d = a - 42. Let f(n) = 11*n - 4. Let v(s) = d*f(s) + 4*m(s). Let b(r) = -2*r. Determine v(b(x)). -14*x Let v(r) = 4*r. Let n(i) = -4*i**2 + 15*i - 270. Determine v(n(p)). -16*p**2 + 60*p - 1080 Let h(w) = -w**2. Let f(a) = -7*a**2. Let d(c) = -f(c) + 6*h(c). Let y(v) = -16*v**2 - v + 9*v**2 + v. Calculate y(d(l)). -7*l**4 Let g(m) = m**2. Let d(z) = -18954*z. Calculate g(d(k)). 359254116*k**2 Let i(g) be the second derivative of -g**6/180 - 2*g**3 - 10*g. Let t(u) be the second derivative of i(u). Let h(v) = 5*v**2. What is t(h(a))? -50*a**4 Let j(f) = -7*f**2. Let t(l) = 0*l + l**2 + 2*l**2 + 4*l. Let h(r) = -3*r**2 - 3*r. Let b(v) = -4*h(v) - 3*t(v). Determine j(b(u)). -63*u**4 Let p(v) = -310*v - 23. Let f(w) = -3*w. Calculate p(f(r)). 930*r - 23 Let c(d) = 6*d + 5*d**2 - 6*d. Let b(k) = 61*k + 54*k + 63*k - 181*k. Calculate c(b(v)). 45*v**2 Let l(k) = 8 - 26*k - 8 + 29*k. Let h(g) = 37*g**2. Calculate l(h(b)). 111*b**2 Let g = 85 + -80. Let w(i) = g - 5 + 0*i - i. Let k(u) = 7*u. Calculate k(w(v)). -7*v Let l(w) be the third derivative of -w**5/60 - w**4 - w**2 - 7*w. Let z(m) = -m**2. Calculate z(l(q)). -q**4 - 48*q**3 - 576*q**2 Let y(f) = -7*f**2. Let i(o) = 2*o**2 + 107*o - 51. Let a be i(-54). Let k(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**a + 1. Calculate y(k(h)). -7*h**4 Let h(m) = 25609*m. Let p(y) = 2*y + 147. Give p(h(r)). 51218*r + 147 Let p(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 5*c - 1/6*c**4. Let s(l) be the second derivative of -5*l**3/6 + 3*l. What is p(s(v))? -50*v**2 Suppose 1 = 4*l + 3*u - 5, -10 = -4*l - u. Let c(s) = s**2 - l*s**2 + s**2 - 3*s**2. Let g(n) = -4*n**2. What is c(g(b))? -64*b**4 Let u = 13 - 9. Suppose 2*x - 4*x + u*z = -14, 2*z = -3*x + 5. Let k(c) = -c + 3 - x + 0. Let i(o) = -5*o**2. What is i(k(w))? -5*w**2 Let g(w) = 3*w**2. Let z(p) be the second derivative of p**5/8 - 10*p**3/3 - 10*p. Let v(r) be the second derivative of z(r). What is g(v(s))? 675*s**2 Let g(y) = -17*y. Let x(j) be the first derivative of 2*j**3/3 + 37. Give g(x(b)). -34*b**2 Let z(c) = 20*c**2 + 1. Let h(x) = 2*x. Let g(u) = -9*u. Let a(j) = 6*g(j) + 26*h(j). Calculate a(z(k)). -40*k**2 - 2 Let k(y) = -y. Let h(p) be the third derivative of -16*p**5/15 + 40*p**2. What is k(h(c))? 64*c**2 Let v(d) = -18102*d + 15 + 18056*d - 15. Let h(k) be the second derivative of -k**3/3 + k. Give h(v(r)). 92*r Let b(d) = 6*d**2. Let w = 279 + -276. Let p(s) be the second derivative of 0 - 1/6*s**w - 6*s + 0*s**2. Give p(b(h)). -6*h**2 Let j(f) = -40*f**2. Let k(u) = -2*u**2 - 2. Let s(g) = -36*g**2 - 30. Let o(h) = -15*k(h) + s(h). What is j(o(t))? -1440*t**4 Let d(l) = 18*l. Let n(m) = -3*m**2 - 2*m**2 + 4*m**2 - 3*m**2. Give d(n(q)). -72*q**2 Let c(u) be the first derivative of 2*u**3/3 - 1. Let p be ((-110)/3)/(8/(-12)). Let s(h) = -3*h**2 + 55*h - p*h. Determine c(s(v)). 18*v**4 Let l(h) = 3*h**2 + 50 - 31 - 19 + 0*h**2. Let k(v) = -10*v. Let y(p) = -70*p. Let o(z) = -30*k(z) + 4*y(z). Give l(o(b)). 1200*b**2 Let v(r) = -4*r. Suppose -2*s = 4*y + y - 20, 0 = 3*s. Let m(l) = -y*l + 3*l - 2*l. Let d(a) = 3*m(a) - 2*v(a). Let t(b) = b. What is d(t(p))? -p Let a(d) = -2*d. Let w(g) = -459614*g. Calculate a(w(v)). 919228*v Let p(t) = -16*t**2 + 51*t**2 - 29*t**2. Let x(i) = -i. Give p(x(w)). 6*w**2 Let o(b) be the third derivative of -b**5/30 - b**2. Let h(y) be the second derivative of 0*y**2 + 0 + 21*y - 5/12*y**4 + 0*y**3. What is o(h(s))? -50*s**4 Let o(g) = -266*g. Let b(x) = -2*x - 43. Calculate b(o(h)). 532*h - 43 Let s(p) = -6*p**2 - 253*p. Let o(c) = -59*c. Calculate o(s(n)). 354*n**2 + 14927*n Let t(u) = -2391*u. Let a(q) = 5*q**2 + 4. What is a(t(v))? 28584405*v**2 + 4 Let d(c) = 290*c - 148*c - 158*c. Let w(r) = -7*r. Calculate d(w(x)). 112*x Let w(u) = -40*u**2 - 10. Let k(f) = 1. Let h(n) = -10*k(n) - w(n). Let p(q) be the first derivative of q**2 - 152. Determine h(p(t)). 160*t**2 Let k(r) = 24*r - 9. Let l(z) = 2*z**2 + 0*z**2 - 11*z**2 + 7*z**2. What is l(k(h))? -1152*h**2 + 864*h - 162 Let k(l) be the first derivative of -l**3 + 1. Let t(j) = -86*j - 11. Let r(g) = -16*g - 2. Let i(h) = -11*r(h) + 2*t(h). Determine i(k(d)). -12*d**2 Let r(f) = -23*f + 0*f + 15*f. Let w(l) = 6*l. Determine r(w(d)). -48*d Let g(u) = 17*u**2. Let n(t) be the first derivative of t**5/60 + 4*t**3/3 + 15. Let q(o) be the third derivative of n(o). Give q(g(k)). 34*k**2 Let z(o) be the first derivative of -o**2/2 + 196. Let w = 3 - 1. Let k(j) = -12 + w*j + 12. What is k(z(n))? -2*n Let m(h) = -h. Let r(i) = -648811*i**2. Calculate m(r(b)). 648811*b**2 Let b(r) = 4*r + 1. Let o(t
{ "pile_set_name": "DM Mathematics" }
l**2 Collect the terms in 66 - 3*c - 582 + 53. -3*c - 463 Collect the terms in -210212*o**3 + 420438*o**3 - 210217*o**3. 9*o**3 Collect the terms in 168 - 53 - 115 - 65*s. -65*s Collect the terms in -219*a**3 - 825*a**2 + 2481*a**2 - 827*a**2 - 829*a**2. -219*a**3 Collect the terms in -3 - 262*u + 1 - 310*u + 99*u. -473*u - 2 Collect the terms in 82970746*s**2 - 4*s**3 - 82970746*s**2 + 14*s. -4*s**3 + 14*s Collect the terms in -6880 - 2794*g**2 + 6880. -2794*g**2 Collect the terms in 324*t + 9*t**3 - 100*t - 109*t - 104*t. 9*t**3 + 11*t Collect the terms in -2*y**3 - 14361596*y + 14361596*y. -2*y**3 Collect the terms in -107 - 102 - 211*f**2 + 853*f**2 + 209. 642*f**2 Collect the terms in 263 + 144 - t + 10*t**3 - 12*t**3 + 7*t. -2*t**3 + 6*t + 407 Collect the terms in c - 11*c**2 - 46*c + 45*c. -11*c**2 Collect the terms in -4*y**2 + 6*y**3 + y**3 - y**2 + 5*y**2. 7*y**3 Collect the terms in 34 + 16 - 91*y**3 - 50. -91*y**3 Collect the terms in 58*y**2 + 45*y**2 - 4*y**3 - 1143*y + 1143*y. -4*y**3 + 103*y**2 Collect the terms in -5*a**2 + 182*a**2 + 236*a**2 + 6*a**2. 419*a**2 Collect the terms in 5*m**2 + 7*m**2 + 5*m**2 - 19*m**2 - 21454 + 21454. -2*m**2 Collect the terms in 164*y**2 + 184*y**2 + 182*y**2 - 531*y**2. -y**2 Collect the terms in -948*h + 2856*h - 950*h - 950*h. 8*h Collect the terms in 79743 - 79743 + 5*a. 5*a Collect the terms in 317040*y**2 - 4943*y**2 + 20823*y**2. 332920*y**2 Collect the terms in -28 + 73 + 4*h - 45. 4*h Collect the terms in -2*o + 2*o + 2*o + 7753. 2*o + 7753 Collect the terms in 8*t - 2*t + 2*t + 10*t + 11*t - 26*t. 3*t Collect the terms in -10*j - 9*j + 278*j**2 - 9*j + 27*j. 278*j**2 - j Collect the terms in 4 + 524432*u - 4. 524432*u Collect the terms in -44*q + 96 - 54*q + 154*q - 53*q. 3*q + 96 Collect the terms in 4*j**2 - 24 + 24 - 34*j**2. -30*j**2 Collect the terms in -2343950 + 2343950 - 5*b**2. -5*b**2 Collect the terms in -3*r**3 + 9713*r + 846*r**2 - 846*r**2 - 9713*r. -3*r**3 Collect the terms in -3*z**2 - 1 + 9*z**2 + 0*z**2 - 2*z**2. 4*z**2 - 1 Collect the terms in -1743*i**2 - 1237*i**2 - 1223*i**2. -4203*i**2 Collect the terms in -2*t + 30855*t**2 + 30795*t**2 + 2*t - 61700*t**2. -50*t**2 Collect the terms in 36*f**2 + 107*f - 107*f - 23*f**2. 13*f**2 Collect the terms in 3 + 3 - 6 - 2 + 146*k. 146*k - 2 Collect the terms in -294*b**2 - 632*b**2 + 164*b**2. -762*b**2 Collect the terms in -51*d**3 + 369*d**3 - 52*d**3 - 52*d**3. 214*d**3 Collect the terms in 1146*f - 805*f - 1249*f. -908*f Collect the terms in 204*p**3 - 375*p**3 + 172*p**3. p**3 Collect the terms in -174*f - 98*f - 1 - 4*f. -276*f - 1 Collect the terms in 28 - 9 - 19*z**3 + 7*z**3 - 4*z**3 - 19. -16*z**3 Collect the terms in 182*m + 179*m + 152*m - 313*m + 51*m. 251*m Collect the terms in 154 + 162 - 487 + 3*a**2 + 2*a**2 + 171. 5*a**2 Collect the terms in -4 + 4 - 15338*h. -15338*h Collect the terms in -408*i + 763*i - 360*i. -5*i Collect the terms in 10*z + 9*z + 1942554*z**3 - 1942557*z**3 - 19*z. -3*z**3 Collect the terms in 3*i - 36 - 3*i + 2*i + i - 2*i. i - 36 Collect the terms in -6*t - 53356 - 2*t**3 + t + 5*t. -2*t**3 - 53356 Collect the terms in 30*x**3 - 253611 + 253611. 30*x**3 Collect the terms in 5 + 36*i**3 + 286*i - 5 - 288*i. 36*i**3 - 2*i Collect the terms in 1779004 - 1779004 - 24*x. -24*x Collect the terms in -11 + 15 + 140*w - 138*w. 2*w + 4 Collect the terms in 5610*t**2 - 6*t - 5608*t**2 - 7*t. 2*t**2 - 13*t Collect the terms in -29 - 39 - 60 + 128 + 73*a. 73*a Collect the terms in -3*q**3 + 636 + 5*q**3 - 28*q**2 + 54*q**2 - 26*q**2. 2*q**3 + 636 Collect the terms in -22345*w**2 - 2*w**3 + 0*w**3 + 67049*w**2 - 22349*w**2 - 22355*w**2. -2*w**3 Collect the terms in 15 - 19 + 4 - 192*d + 189*d. -3*d Collect the terms in -3*n**3 + 181*n**2 + 14 - 181*n**2 + n**3. -2*n**3 + 14 Collect the terms in -43*v**3 + 1539*v**3 - 1509*v**3. -13*v**3 Collect the terms in -18441*r**3 + 194*r**2 + 18439*r**3 - 194*r**2. -2*r**3 Collect the terms in 2*f + 791*f**2 + 718*f**2 - 2*f. 1509*f**2 Collect the terms in -35*o + 79*o + 5 + 128*o. 172*o + 5 Collect the terms in 2 - 386923*n - 2 + 386940*n. 17*n Collect the terms in -164*j**2 + 30 + 996*j + 163*j**2 - 30. -j**2 + 996*j Collect the terms in 2 + 5*b**2 - 12 + 7 + 9. 5*b**2 + 6 Collect the terms in 3 + 718*s**2 - 1267*s**2 + 560*s**2 + 1 - 5. 11*s**2 - 1 Collect the terms in -258 + 3*b + 132 + 126 - 7*b**3. -7*b**3 + 3*b Collect the terms in 364*l**2 - 288*l**2 - 20*l + 20*l. 76*l**2 Collect the terms in -11191*m + 22376*m - 42 - 11182*m. 3*m - 42 Collect the terms in 163*t - 263*t + 130*t - 175*t**2. -175*t**2 + 30*t Collect the terms in 5*t**3 + 11*t**3 + 6*t**3 - 2*t**3 + 12*t**3. 32*t**3 Collect the terms in -19*t - 21*t - 19*t + 71*t - 13*t. -t Collect the terms in 13 - 6*n - 2*n - 6*n - 41. -14*n - 28 Collect the terms in -5*n - 10*n + 1298*n**2 + 27*n - 11*n. 1298*n**2 + n Collect the terms in 234*g**2 + 236*g**2 - 924*g**2 + 223*g**2 + 228*g**2. -3*g**2 Collect the terms in -60*s**2 + 146*s**2 + 116*s**2. 202*s**2 Collect the terms in -30*w**3 + 161*w**3 - 33*w**3 - 33*w**3 - 31*w**3 - 29*w**3. 5*w**3 Collect the terms in -155 + 9*l**2 + 283 + 35*l**2 - 128. 44*l**2 Collect the terms in -417*t**2 - 719*t**2 - 1251*t**2 - 2591*t**2. -4978*t**2 Collect the terms in -14*j**2 - 12103*j + 2*j**2 + 24200*j - 12097*j. -12*j**2 Collect the terms in 0*j**2 - j**2 + 315*j - 317*j. -j**2 - 2*j Collect the terms in 57*p + 294*p + 1085*p - 4. 1436*p - 4 Collect the terms in -2552*n**2 + 855*n**2 + 853*n**2 + 839*n**2. -5*n**2 Collect the terms in -394*w**2 - 43060998 + 43060998. -394*w**2 Collect the terms in 2*k + 4 - 1 - 91*k**2 - 71*k**2 - 3. -162*k**2 + 2*k Collect the terms in 1314*j**2 - 658*j**2 - 736*j**2. -80*j**2 Collect the terms in -117*o**3 - 96*o**3 - 2841*o + 2841*o - 41*o**3. -254*o**3 Collect the terms in 3960*x - 1829*x - 1059*x. 1072*x Collect the terms in 500*q**3 - 960*q**3 + 572*q**3. 112*q**3 Collect the terms in -427*d**2 - 430*d**2 - 430*d**2 - 429*d**2 + 1711*d**2. -5*d**2 Collect the terms in 78345*a - 74*a**2 + 103*a**2 - 32*a**2 - 78345*a. -3*a**2 Collect the terms in -1 + 314*q - 1757*q - 313*q. -1756*q - 1 Collect the terms in -293*w - 111*w + 119*w. -285*w Collect the terms in -x - 4*x - 8*x + 2*x - 9*x**3. -9*x**3 - 11*x Collect the terms in 85*l**2 + 79*l**2 - 151*l**2 - 1. 13*l**2 - 1 Collect the terms in -2 + 0 - 102*v + 59*v + 4 + 6. -43*v + 8 Collect the terms in 20 + 17 + 142*n - 37. 142*n Collect the terms in 81*w - 161*w + 81*w + 45*w**2. 45*w**2 + w Collect the terms in 686*m**3 + 28885*m - 28885*m - 22 + 22. 686*m**3 Collect the terms in 3781*z**2 + 8079*z**2 + 7520*z**2 - 3707*z**2. 15673*z**2 Collect the terms in -12442*f + 4192*f + 4051*f + 4196*f. -3*f Collect the terms in -7*t**3 + 47*t**2 + 11*t**2 - 45*t**2 - 13*t**2. -7*t**3 Collect the terms in 495*g**3 - 184*g**3 - 342*g**3. -31*g**3 Collect the terms in 55 - 234*v - 15 + 238*v + 12. 4*v + 52 Collect the terms in 10*y + 5*y + 16*y - 28*y. 3*y Collect the terms in -11*v**2 + 3076 + 9*v**2 - 3076. -2*v**2 Collect the terms in -12546 + l + 2*l**2 - l. 2*l**2 - 12546 Collect the terms in -7 - 186*k**2 + 8 + 2. -186*k**2 + 3 Collect the terms in -p + 1 - 415*p**3 + 4*p + 114*p**2 - 2*p. -415*p**3 + 114*p**2 + p + 1 Collect the terms in -9*u**2 + 4546*u - 2273*u - 2273*u. -9*u**2 Collect the terms in -9*w**2 + 39 - 178 + 104 + 35. -9*w**2 Collect the terms in -h - 254*h**3 + 7*h**2 - 7*h**2 - 7. -254*h**3 - h - 7 Collect the terms in 54*s - 58*s + 49*s + 69*s + 1. 114*s + 1 Collect the terms in -35*d**3 - 82*d**3 - 95*d**3 + 37*d**3 - 7*d**3. -182*d**3 Collect the terms in 29939040066*g - 29939040066*g - 3*g**3. -3*g**3 Collect the terms in 28 - 94 - 137 + 25 + 4*s**2 + s. 4*s**2 + s - 178 Collect the terms in 211*b**2 - 44*b**2 - 43*b**2 - 53*b**2 - 48*b**2 - 8*b**2. 15*b**2 Collect the terms in -2*s**2 + 37*s**2 - 91*s**2. -56*s**2 Collect the terms in 1056*x**2 - 250*x**2 - 251*x**2 - 300*x**2 - 257*x**2. -2*x**2 Collect the terms in -81 - 36 + 159 - 42 + 7*l. 7*l Collect the terms in 3296*r**3 - 6599*r**3 + 3305*r**3. 2*r**3 Collect the terms in 268 + 959*s - 1935*s + 979*s - 268. 3*s Collect the terms in -106460 + 106460 - 2*q**3. -2*q**3 Collect the terms
{ "pile_set_name": "DM Mathematics" }
03 a composite number? False Is 571480115 a prime number? False Is 3185175031 a composite number? True Is 7578668071 prime? False Is 4804372453 a prime number? True Is 72140569 a composite number? True Is 71761801679 a composite number? True Is 36724406261 a prime number? True Is 3811284397 composite? True Is 8188498543 a prime number? False Is 781350589 prime? True Is 30379371701 prime? False Is 573422999 a prime number? True Is 8787881737 prime? False Is 1381226919 a prime number? False Is 1063117663 prime? False Is 36691408443 a prime number? False Is 992075627 prime? False Is 1187089261 a composite number? True Is 11115471949 prime? True Is 3320132831 composite? True Is 48619155421 prime? False Is 14792469881 a composite number? True Is 4318729 a prime number? True Is 126695003 composite? True Is 1123503427 a prime number? False Is 140591674 composite? True Is 1035810277 composite? True Is 585315889 composite? False Is 4802145631 a composite number? False Is 9165739673 a prime number? False Is 21073478669 prime? False Is 1385364815 prime? False Is 25160178997 a prime number? True Is 1484575769 composite? True Is 2101302683 prime? False Is 74064410113 a composite number? True Is 4161778213 a prime number? True Is 1187948441 a composite number? False Is 7402163533 prime? False Is 52463210578 a prime number? False Is 314934341 a composite number? False Is 312060547 a composite number? False Is 170436624907 a composite number? True Is 255546457 prime? False Is 545791091 composite? False Is 216280031029 prime? False Is 238030333 a composite number? False Is 6572303711 a prime number? True Is 4514967307 a prime number? True Is 78082975067 prime? True Is 232972693 prime? True Is 2839567427 composite? True Is 33558017617 prime? True Is 515839297 prime? True Is 301589902 a prime number? False Is 5382738947 prime? False Is 2060566811 a composite number? True Is 2310752167 composite? False Is 39014569939 prime? False Is 12096639521 a prime number? True Is 1111571471 prime? False Is 3323085751 prime? False Is 174967420109 composite? True Is 941422187 prime? True Is 560788973 composite? True Is 11206483073 composite? False Is 13829431765 a composite number? True Is 12404724347 a prime number? True Is 55725053 a prime number? False Is 5888954419 prime? False Is 129556589 prime? True Is 83358550487 a composite number? False Is 39627430679 composite? False Is 14736106397 composite? True Is 8265183871 prime? False Is 1859627317 prime? True Is 18350009737 prime? True Is 975515977 a composite number? False Is 356681531 prime? True Is 4769396399 prime? True Is 298561921 a composite number? True Is 58405453723 a composite number? False Is 375963559 a prime number? False Is 24249821249 prime? True Is 1266976201 a prime number? False Is 15036858347 prime? False Is 19706280299 composite? False Is 11947275311 a composite number? False Is 23961742789 a prime number? True Is 68700770051 a prime number? True Is 2131333933 a prime number? False Is 233223127 a composite number? True Is 7501029313 composite? False Is 10062737441 prime? True Is 35050799599 a prime number? False Is 18800085677 composite? False Is 1918285553 prime? True Is 45467391601 prime? True Is 377982211 composite? False Is 12747742079 a composite number? False Is 13694435299 composite? True Is 410127437 a prime number? False Is 591753911 a composite number? True Is 26837996063 composite? False Is 4904356921 a composite number? False Is 716954869 a prime number? True Is 50298371083 prime? True Is 49016216563 a prime number? False Is 849825959 a prime number? True Is 428999953 composite? False Is 25288254049 a composite number? False Is 79770970285 composite? True Is 2921555629 a prime number? True Is 10479432427 composite? False Is 16512004501 a prime number? True Is 44721221423 a prime number? True Is 311007581 composite? False Is 1691003339 prime? False Is 72535397 prime? False Is 65682787679 a composite number? False Is 66018427579 a composite number? True Is 914943569 a prime number? True Is 450519851 prime? True Is 48891207149 a composite number? True Is 3665837557 a prime number? True Is 37755157589 a composite number? False Is 7807025513 a prime number? False Is 4774057513 prime? True Is 9215674865 a prime number? False Is 6917830817 prime? True Is 59664968257 a prime number? True Is 20105872373 composite? False Is 1677351653 a composite number? False Is 2927781691 a prime number? False Is 544565701 composite? True Is 17627117 a composite number? True Is 3636058157 prime? False Is 1517340803 a composite number? True Is 35955525391 a prime number? True Is 2056469551 a composite number? True Is 114197791 composite? True Is 81506993353 a composite number? False Is 9903525323 prime? False Is 327944393 composite? True Is 245090203 a composite number? False Is 198615818 prime? False Is 222317897 a composite number? False Is 25070684291 prime? False Is 39034319003 a prime number? True Is 6004288882 a prime number? False Is 1478530861 prime? True Is 14223803023 prime? False Is 34315838329 a composite number? False Is 327944599 prime? True Is 11383944851 a composite number? True Is 201104581 a composite number? False Is 3969638201 composite? False Is 100329373 a composite number? False Is 1050408017 prime? True Is 17998442981 composite? True Is 58633475287 a prime number? False Is 86927471 composite? True Is 4488445321 a composite number? True Is 42069579047 a prime number? False Is 894410969 prime? False Is 6255684881 composite? False Is 4060573171 prime? False Is 235315253 a composite number? True Is 83873822377 prime? False Is 45725861 prime? False Is 1484447153 a prime number? False Is 580131023 a composite number? False Is 2040881699 a composite number? True Is 4835548411 prime? True Is 96317776795 composite? True Is 2563567889 prime? True Is 1227912887 prime? False Is 690261031 prime? True Is 444730879 a composite number? True Is 36594795157 a prime number? False Is 4667096009 a composite number? True Is 15372066695 a composite number? True Is 919590863 a prime number? False Is 22091940803 prime? False Is 29246815049 composite? False Is 237376939 a prime number? True Is 2960625529 composite? False Is 114142717237 a composite number? True Is 165782831 a composite number? False Is 8473076219 prime? True Is 293309059 composite? True Is 18858270373 prime? True Is 9591313021 composite? True Is 204807461 a composite number? False Is 1512411469 prime? True Is 4122307831 composite? False Is 279289267 composite? False Is 107026561969 composite? False Is 34327003 composite? True Is 2990895811 prime? False Is 555253843 a prime number? False Is 541380821 a composite number? False Is 1012387879 a prime number? False Is 821482111 composite? False Is 108769147 a prime number? True Is 12373878947 a composite number? False Is 8158819069 a prime number? False Is 5660814917 prime? True Is 15861065107 a composite number? False Is 4427042287 a composite number? False Is 4587885683 a composite number? True Is 7825710491 composite? False Is 35709927457 a prime number? False Is 17770957387 a composite number? False Is 187226220889 prime? True Is 3620151823 a prime number? True Is 3572874643 composite? True Is 8065529033 prime? True Is 322776367 prime? True Is 539030867 prime? True Is 15793316723 a composite number? False Is 4769221363 a composite number? False Is 2312227247 composite? True Is 1646472853 a composite number? True Is 8084999713 prime? False Is 674697743 prime? False Is 3981106463 prime? True Is 30338617 prime? True Is 72932705 a composite number? True Is 188287638137 a composite number? False Is 1517543506 composite? True Is 61555638241 prime? True Is 138200883011 prime? True Is 1076822129 a prime number? True Is 10231832902 composite? True Is 949153561 a composite number? True Is 21027239 a composite number? False Is 39776484543 a prime number? False Is 14557552939 prime? True Is 775691417 prime? True Is 779428961 composite? True Is 34725622273 prime? False Is 487016009 a prime number? False Is 492194581 a prime number? False Is 533229421 prime? True Is 237692659 a prime number? False Is 352484743 composite? True Is 708406729 a composite number? False Is 3970602085 a composite number? True Is 49247253
{ "pile_set_name": "DM Mathematics" }
w - 0*o + 85. What is the units digit of w? 5 Let b(g) = -3*g - 2. Let l be b(-4). Let s = -4 + l. Let p(y) = -y**2 + 7*y + 8. What is the tens digit of p(s)? 1 Let i(t) be the second derivative of 4*t**3/3 - t**2/2 - 3*t. Let a be i(-5). Let k = a - -58. What is the units digit of k? 7 Let m = 46 - 105. Let c = m - -85. What is the tens digit of c? 2 Let j(w) = 2*w - 3. Let c be j(4). Suppose -h + c = -7. What is the units digit of h? 2 Let j(k) = -k - 10. Let d(l) = 2*l + 1. Let g be d(-4). Let a be j(g). What is the units digit of 11*a/(-3 - 0)? 1 Let j(s) = 3*s**3 - 4*s**2 + s + 2. Let k be j(3). Let w = k + -20. What is the units digit of w? 0 Suppose -2*a = 5*p - 370, 0*p + a = 5*p - 355. Suppose -128 = -5*l + p. What is the units digit of l? 0 Suppose 4*r - 68 = -0*r. Suppose 5*z = -2*g - r, 3*z + 30 = 2*g + 7. Suppose g*t - 7*t + 33 = 0. What is the units digit of t? 1 Let d = 50 - -9. What is the tens digit of d? 5 Suppose 22 = 5*y - 23. What is the units digit of y? 9 Suppose 0 = -r - r + 12. What is the units digit of r? 6 Let v(y) = y**3 + 7*y**2 - 4*y + 1. What is the tens digit of v(-6)? 6 What is the units digit of (-770)/(-33)*3/2? 5 Let w(m) = m**3 + 8*m**2 + m + 1. Let c(g) = g**3 + 9*g**2 + g + 2. Let n(z) = 3*c(z) - 4*w(z). Let r = 9 + -14. What is the units digit of n(r)? 7 Suppose 5*l - 4*u = 22, l - 2*u = -3*l + 14. Suppose l*p = -z + 28, -2*z = 2 - 6. What is the tens digit of p? 1 Suppose 0 = 2*j - k - 75, 2*k = 3 + 3. What is the units digit of j? 9 What is the units digit of (-519 + (-1)/1)*118/(-295)? 8 Let f(k) = 2*k**3 - 2*k**2 + 2*k + 4. What is the units digit of f(3)? 6 Suppose 0 = -f - 0*f - 3. Let h = f + 10. What is the units digit of h? 7 Let s(o) = o**3 - 2*o**2 + 2*o - 2. Let w(m) = m + 4. Let t be w(-3). Let p = 1 + t. What is the units digit of s(p)? 2 Suppose -u = -2*u - 5*w - 23, u = 5*w + 27. Suppose -5*c - 2*z = 23, -2*c - u*z - 9 + 1 = 0. Let y(s) = -s + 2. What is the units digit of y(c)? 7 Suppose 2*z - 230 = -3*z. What is the units digit of z? 6 Suppose f - 3*f = 5*h - 10, 0 = -5*h + f + 10. Let t(l) = 5*l - 2. Let z be t(6). Suppose 2*n - h*s = z, 4*s + 22 = n - s. What is the units digit of n? 2 Let d(l) = 3*l - 5. Let b be d(-9). Let q be b/(-18) + 4/18. Suppose -3 = -q*i + 5. What is the units digit of i? 4 Let q be 3*(0 + 2/6). Suppose -d + 6 = -q. What is the units digit of d? 7 Let r(h) = h - 8. Let c be r(4). Let q(x) = x**3 + 4*x**2 - 5*x - 6. Let k be q(c). Let n = -7 + k. What is the units digit of n? 7 Suppose 4*j - 17 = 15. What is the units digit of j? 8 Suppose -4*v + 257 = 97. What is the units digit of v? 0 Let i(b) = b**3 + 7*b**2 - 8*b + 3. Let q be i(-8). Let s = 19 - q. What is the tens digit of s? 1 Suppose -478 = -3*c + 2*m, 3*c + 3*m - 267 = 201. What is the tens digit of c? 5 Let m(n) = -n**3 + 4*n**2 - 3*n. Let c be m(3). Let x(f) = -f + 19. What is the tens digit of x(c)? 1 Let w(r) = -9*r**3 - r**2 + 5*r + 5. What is the tens digit of w(-2)? 6 Suppose -5*l = 8 - 43. Suppose -2*s + 17 + 25 = 0. Let r = s - l. What is the units digit of r? 4 Let w = -4 + -2. Let i = w + 14. What is the units digit of i? 8 Let g(z) = 4*z**2 - 11*z + 26. What is the hundreds digit of g(9)? 2 Let q(z) = -7*z**2 + 5 + 0*z + z**3 + 0*z**3 + 6*z + z. Let o be ((-18)/(-4))/((-6)/(-8)). What is the units digit of q(o)? 1 Let l(v) = -58*v**2 - v. Let g be l(1). Let m = -33 - g. What is the units digit of m? 6 Let i = 47 + -23. Let q = -14 + i. What is the units digit of q? 0 Let c(k) = -k**3 + 6*k**2 + k + 1. Let w be 5 - (-1 - (1 - 1)). Let m be c(w). What is the tens digit of 79/m - 2/7? 1 Let r = -111 - -156. Suppose 4*n - r = -1. What is the tens digit of n? 1 Let u be ((-2)/(-4))/((-2)/(-8)). Suppose -36 = -3*g + u*i, i - 17 = -0*g - 2*g. What is the tens digit of g? 1 Suppose -h + 2*c + 0*c + 271 = 0, 3*c = -2*h + 507. What is the tens digit of h? 6 Suppose -n + 916 = 4*v + 3*n, n - 685 = -3*v. What is the units digit of v? 8 Suppose -66 = s - 357. What is the hundreds digit of s? 2 Let h be -2 + (-1 + 0 - -5). Let a(x) be the first derivative of 2*x**3/3 - x**2 + 3*x - 3. What is the units digit of a(h)? 7 What is the tens digit of 20/1 - (0 - 1)? 2 Let y(r) = r**2 + 7*r + 4. Let m be y(-3). Let j(b) = b**2 + 7*b - 4. Let g be j(m). Suppose 0 = 6*h - 5*h - g. What is the units digit of h? 4 Let y(p) = -115*p - 1. What is the units digit of y(-1)? 4 Suppose -n = 3*n - 132. What is the units digit of n? 3 Suppose 0 = -b + 356 - 82. What is the units digit of b? 4 Let z = -8 + 4. What is the tens digit of z/(-20) - (-248)/10? 2 Suppose -11*l - 136 = -19*l. What is the units digit of l? 7 Let u(p) = -p**2 - 10*p - 2. Let g be u(-10). What is the units digit of ((-2)/g)/(1/34)? 4 Suppose 0 = 4*d - 3 - 13. Suppose -d*u + 3 = -7*u. Let p = u + 6. What is the units digit of p? 5 Let r(f) = f**2 + 8*f + 1. Let m be r(-6). Let g be 2/6 - m/3. Suppose c + 4*x - 4 = 10, -g*x - 26 = -3*c. What is the tens digit of c? 1 Let w(h) = -6*h - 10. Let z(k) = 14*k + 9. Let n(p) = -7*p - 4. Let o(s) = 11*n(s) + 6*z(s). Let l(i) = -5*o(i) - 6*w(i). What is the units digit of l(-6)? 4 Suppose 2*r = -3*v + 13, -3 = -2*v - 4*r + 3. What is the units digit of (-64)/(-40) - (-2)/v? 2 Let m(j) = -j - 4*j + 4*j + 4. Let l(w) = w**2 - 13*w + 14. Let b be l(12). What is the units digit of m(b)? 2 What is the units digit of (-1)/((1/(-6))/1)? 6 Suppose 2*t + 2*x = 224, -t + 31 = -4*x - 61. What is the tens digit of t? 0 Let x(u) = 116*u**3 - 2*u**2 + 1. Let i be x(1). Suppose 4*n = -31 + i. What is the units digit of n? 1 Let m(y) = -y**2 - 5*y + 3. Let w be m(-5). Let q(o) be the second derivative of -o**4/12 + 5*o**3/6 - 9*o. What is the units digit of q(w)? 6 Let l be 1 + 7/(28/(-60)). Let z = l - -16. What is the units digit of z? 2 Let l(u) be the second derivative of 11*u**3 - 3*u**2 - 2*u. Let v be l(-5). What is the units digit of v/(-33) + (-4)/22? 0 Suppose 76 = 2*j + 3*s, j = s + 20 + 28. Suppose 0 = -4*o + 23 - 3. Suppose o*y = y + j. What is the units digit of y? 1 Let g(m) = m**2 - 4*m + 3. Let l be g(4). What is the tens digit of -14*(l - (-132)/(-28))? 2 Suppose -d = -0*d + 5*i - 8, 0 = 5*d + 2*i - 132. Let x = d + -17. What is the tens digit of x? 1 Let v be 186/24 - (-2)/8. Let i = v - 4. Suppose -51 = -4*t + i*x + x, -9 = 3*x. What is the units digit of t? 9 Let x be 1/5 + 87/15. Suppose -m + 12 = -x. What is the tens digit of m? 1 Let p(f) = 10*f**3 + 21*f**2 + 17*f + 16. Let o(a) = 3*a**3 + 7*a**2 + 6*a + 5. Let g(b) = -7*o(b) + 2*p(b). What is the units digit of g(-6)? 9 Let x(b) = -1 + b + 0*b + 6. What is the units digit of x(0)? 5 Suppose -2*f - f - 9 = 0. Let c = f + 4. What is the units digit of ((-1)/(-1) - 0)/c? 1 What is the units digit of (58 + -1)/((-3)/(-2))? 8 Let q(j) = -j**3 + 3*j**2 + 4. Let w be q(3). Suppose r = w*r - 6. Suppose 27 = r*u + 2*y + y, -3*y + 72 = 5*u. What is the tens digit of u? 1 Let u = -44 + 102. What is the tens digit of u? 5 Let a(x) = x**3 + 10*x**2 - 12*x. Let n be a(-11). Let w = n - 10. What is the units digit of w? 1 Suppose 3 + 1 = -4*y. What is the tens digit of (4/(4/(-29)))/y? 2 What is the units digit of -1*8/2*-1? 4 Let z = 1 - -26. What is the units digit of z? 7 Suppose 5*w = 4*w + 7. Suppose -5*a + 5*j + 60 = 0, 2*a - w = 5*j + 17. Suppose d - a = -0*d. What is the units digit of d? 2 Let l be -1 + (0 - 2)*4. Let m(v) = v**2 + 8*v - 5. Let k be m(l). Suppose k*i - 2 = 6. What is the units digit of i? 2 Suppose -3*o = -4*t + 19, 2*o + 0 + 6 = -4*t. Suppose -m = t - 3. Let r(y) = y**2 - 2*y + 2. What is the units digit of r(m)? 2 What is the units digit of (-44 + (1 - -2))/(-1)? 1 Suppose 3*v - 12 = 0, 2*k = 5*k + v - 19. Suppose -k*m + 2 = -4*m. What is the units digit of m? 2 Suppose b + 4 = -3*s + 73, 0 = -4*b - 2*s + 256. What is the units digit of 4/6*b/6? 7 Suppose 0*g - g + 385 = 3*k, k + 2*g = 125. What is the units digit of k? 9 Let h(u) = 3*u**2 - 1. Let l be h(2). Let r(n) = -n**2 + 11*n + 9. What is the units digit of r(l)? 9 Let o be (-1)/2 + 71/2. Let w = -25 + o. Suppose 2*a - 4*c + 2 = 0, 5*c - w = -2*a - 3*a. What is the units digit of a? 1 Let x(o) = o**2 - 5*o - 4. Let g be x(-3). Suppose -5*y + 0 - g = 0. Let p = y + 6. What i
{ "pile_set_name": "DM Mathematics" }
positive. r**(-169/7) Simplify (k**(-17)/(k*(k/(k/(k*k**(-2/19))))/k*k*k))/(k/(k**(-9)/k)*k)**(1/16) assuming k is positive. k**(-1569/76) Simplify o*o**(-20)*o**(-21)*o**(-29)*o**(-30) assuming o is positive. o**(-99) Simplify (l**(3/4))**(-2)*(l*l*l**(-2))**(-9) assuming l is positive. l**(-3/2) Simplify ((v**(2/5)/v*v**(-6/5)/v)/((v/(v**9/v))/(v/(v*v*v/(v/(v/(v/((v/((v/(v/(v/((v*v**(-2/11))/v))))/v))/v))))))))**(-2/41) assuming v is positive. v**(-372/2255) Simplify ((x*((x*x**(-15))/x)/x)/(x/(x*x/(x/x**19))))/((x/x**(-12/13))/(x*(x/(x**(-3/16)/x))/x)) assuming x is positive. x**(887/208) Simplify g**(3/8)*g*g**(-3/5)*g*(((g*g*g**15)/g)/g)/((g*g**(-14/5)*g)/g) assuming g is positive. g**(743/40) Simplify (b/(b/b**(-3))*b*b**(-4)*(b/b**(-3))/b**(-4/3))**31 assuming b is positive. b**(-62/3) Simplify ((((s/s**(-16)*s*s)/s*s)/s)/s**17)/(s**(-1/12)*s**(4/5)) assuming s is positive. s**(17/60) Simplify (((u*u**(-13))/u)/(u/(u*u**(-2)*u*u)))/((u*u**4*u)/((u/u**(-6/17))/u)) assuming u is positive. u**(-317/17) Simplify (y/(y*y/y**0)*y**(2/9))**(-22) assuming y is positive. y**(154/9) Simplify (((n*n/((n/n**10)/n))/n)/((n*n/n**(2/11)*n)/n*n))/(n**(-4)/n)**(-44) assuming n is positive. n**(-2330/11) Simplify ((q/(q/q**(2/29)*q)*q/(q*q**(-2/13))*q)**47)**(-38) assuming q is positive. q**(-150024/377) Simplify ((d*d**(-9/5)*d)/d)**(32/5)/(d**(2/11))**(-2/93) assuming d is positive. d**(-130844/25575) Simplify g**28/(g/g**(4/5)*g)*(((g*g*g**(-7)*g)/g)/g)/(g*g**(-32)) assuming g is positive. g**(259/5) Simplify (((t*t*t**(3/4))**(-40))**39)**(7/5) assuming t is positive. t**(-6006) Simplify (((f**5/f*f*f)/f**(-2/11))/(f**(-1)*f/f**(5/4)))**6 assuming f is positive. f**(981/22) Simplify ((z**(-1/4))**(-48)/((z/z**0)/(z/z**(-6))))**(-1/25) assuming z is positive. z**(-18/25) Simplify y**(-1/3)*y**(-7/3)/y*y**13*y*y**2 assuming y is positive. y**(37/3) Simplify (s/s**(-7))**(-42)/((s**(1/5)*s)/s)**(22/3) assuming s is positive. s**(-5062/15) Simplify (q**12)**31*(q/(q**(-10/7)/q))**39 assuming q is positive. q**(3540/7) Simplify ((p**(2/39)/p)/p**14)/(p*p/(p/p**1*p))**16 assuming p is positive. p**(-1207/39) Simplify (((w*w/(w*(w**(-2/7)/w)/w))**24)**(-32/7))**40 assuming w is positive. w**(-706560/49) Simplify (j**1)**2*(j*(j**(1/5)/j)/j*j)**(-10) assuming j is positive. 1 Simplify (v*(v*v/(v/(((v/(v/v**(3/5)*v))/v)/v)))/v)**(-29/4)*v**(1/12)/(v/(v*v*v**(-4)/v*v*v*v*v)) assuming v is positive. v**(307/30) Simplify ((((k/k**1)/k)/k)**(13/4)/((k/k**(-5))/(k*k**4)))**22 assuming k is positive. k**(-165) Simplify (i/(i/i**(-1/4))*i/((i*(i/(((i*i/i**(-3/4))/i)/i))/i)/i*i))/(i/(i*((i**0/i*i)/i)/i))**(-19/3) assuming i is positive. i**(79/6) Simplify (u**7*u**(-2/33))/(u*(u**3/u)/u)**(-30) assuming u is positive. u**(2209/33) Simplify (n/(n/(n/((n*n**(4/11)*n)/n))))**(-1/51)/(n**(2/21))**(6/7) assuming n is positive. n**(-2048/27489) Simplify (j**(-6))**(-24)/(j/j**(2/3))**(-5/2) assuming j is positive. j**(869/6) Simplify (h*h/(h/(h**(6/5)*h)))**23*(h/(h*h**22)*h)/h*h**(-1/4) assuming h is positive. h**(1027/20) Simplify n*n*n/(n/(n/n**(3/4)))*n**(-31)*n**(-18)/n**(-2/45) assuming n is positive. n**(-8407/180) Simplify (r**(-15)/r**(-1/15))/(r*(r*r/r**(-4/11))/r*r**(-10)/r) assuming r is positive. r**(-1039/165) Simplify (((h**(1/4)*h)/h*h*((h**(-3)/h)/h*h)/h)/(h**6*h**2*h))**(-6) assuming h is positive. h**(153/2) Simplify s/(s/s**22)*s**25/s*(s*s*s/(s*s*s**(2/29)*s)*s)**49 assuming s is positive. s**(2657/29) Simplify ((k/(k*k**20/k))/(k/(k/k**(-3/11))))/(k**17*k*k*k*k**10/k) assuming k is positive. k**(-525/11) Simplify ((i**2/i)/i*i/(i*i**(-2/19)*i))/(i**0/i)**44 assuming i is positive. i**(819/19) Simplify (a**(1/4))**47/(a/a**7*a*a/(a**0/a)) assuming a is positive. a**(59/4) Simplify (t**14*t**(-6))/(t**6*t**10) assuming t is positive. t**(-8) Simplify (n**3*n*n/n**(2/5))**(-12) assuming n is positive. n**(-276/5) Simplify ((o/o**(-3/5)*o)/o**(-10/7))/((o/(o*o**1))/o)**(1/60) assuming o is positive. o**(853/210) Simplify n**(-3/8)*n*n*n**(1/4)*n**14*n**(-3/11)*n assuming n is positive. n**(1461/88) Simplify (k**(1/7))**(12/11)/(k/(k**(1/3)*k))**11 assuming k is positive. k**(883/231) Simplify ((y**(-6/5)/y)/y*y)**9*y**(-7)*y**3 assuming y is positive. y**(-119/5) Simplify (k**(-28)/k**(-28))/(((k/k**21)/k)/(k**(-3/11)*k)) assuming k is positive. k**(239/11) Simplify ((v/(v/(v*v/(v/(v*v/(v/(v*(v*v**25)/v*v*v)*v)*v*v))*v)))/(((v**1/v)/v)/v))/((v*v**(2/9))/v*v**(5/11)) assuming v is positive. v**(3299/99) Simplify ((u/(u**(-5)*u))/u)**10*(u**(2/7))**(-2/5) assuming u is positive. u**(1396/35) Simplify (h**(-2/7)/h)**(18/5)/(h**12*h*h*h**2*h*h) assuming h is positive. h**(-792/35) Simplify (u*u**(1/4))**(-44)*(u**4/u*u)**(1/22) assuming u is positive. u**(-603/11) Simplify (v**1*v**10*v*v**(-3/2)*v/(v**(2/3)/v))**(-21/4) assuming v is positive. v**(-497/8) Simplify (d*((d*d/d**(-1))/d*d*d)/d)**42*(d/(((d*(d/((d**(7/4)*d)/d))/d*d)/d*d)/d))/(d*d**(2/51)) assuming d is positive. d**(34417/204) Simplify ((j/(j*j*j**(15/4)*j))/(j*j**(-7/2)))**(2/7) assuming j is positive. j**(-13/14) Simplify ((b*b*b**0*b)/b)**(2/23)/(b/b**(7/3)*(b/b**(2/3))/b) assuming b is positive. b**(50/23) Simplify ((x**(-1/6)/(x/(x*x**(-1/3)*x*x)))**(-48))**(3/38) assuming x is positive. x**(-108/19) Simplify (s*s**(2/11))/((s/(s*s*s**10))/s)*(s/((s/(s**2/s))/s))**(-47) assuming s is positive. s**(-889/11) Simplify r/(r*r**(-6))*r*r*r**(-4/9)*(r/(r*r**(-11)))/(r**(1/22)*r) assuming r is positive. r**(3467/198) Simplify (o/o**(-9/4)*(o/((o*o/(o*o*o*o*o**(-9/4))*o)/o)*o)/o)/((o*o*o**1/o)/o**3) assuming o is positive. o**5 Simplify (((l*l**(-2/29))/l)/l**(-15/4))/(l**(2/61)*l**(-4/5)/l*l) assuming l is positive. l**(157379/35380) Simplify (x*x**(-2/19)*x*(x*x**(-1/2)*x)/x)/((x/(x**(2/9)/x))/x)**5 assuming x is positive. x**(-511/342) Simplify (((x/x**(-15)*x)**(-22))**25)**(-19) assuming x is positive. x**177650 Simplify ((b**(1/9)*b**(1/6))**(8/5))**8 assuming b is positive. b**(32/9) Simplify (q/q**(-14))/(q/q**(-27))*(q/((q/(q/q**(-1/8)))/q))/q*q**17*q assuming q is positive. q**(49/8) Simplify ((h**7/(h/h**(-6/7)*h))**(-2/3))**(-1/2) assuming h is positive. h**(29/21) Simplify ((w**(-2/3))**(-34)*(w*w/(w/(w/w**(-1/2)))*w)**(4/25))**8 assuming w is positive. w**(13936/75) Simplify ((j/(j*j**1)*j)**(-3/7)*j/((j**(-4/5)*j)/j)*j**0/j)**(2/15) assuming j is positive. j**(8/75) Simplify (w**(-5/3)/w**(1/19))/(w/((w**(-11)*w)/w)*w/w**8) assuming w is positive. w**(-383/57) Simplify (((s/(s**(-2/27)/s))/s)/s**(-1/5))/(s**(1/14)/(s**(2/31)/s)) assuming s is positive. s**(15653/58590) Simplify (((v**(-1/6)/v)/v)/v*v/v**4*v)/((v**10*v)/v**(-1/4)) assuming v is positive. v**(-197/12) Simplify (((v*(v/v**(1/5))/v)/v)/(v**(1/13)*v))/((v*v*v**(2/5))/v*v/(v/(v/(v*v*(v*v**3*v)/v*v)))*v) assuming v is positive. v**(151/65) Simplify (((g/(g/(g/(g*(g/(g*g*g**6))/g*g))))/g)/g**(-2/9)*g/((g/g**4)/g)*(g*g**4/g)/g)**50 assuming g is positive. g**(6400/9) Simplify x/(x*x**2)*x*x*x*x**(4/3)*x**(-2/7)/x**(-7) assuming x is positive. x**(190/21) Simplify (l/(l**(-5)*l)*l**10)/(((l*l/l**4*l*l)/l)/l)**(-6) assuming l is positive. l**3 Simplify (l/((l*l**(1/10)/l)/l))/((l*l*l/(l/(l/(l**11*l*l))))/l*l)*l**6/(l**(-1/5)/l) assuming l is positive. l**(191/10) Simplify (z/(z*(z**(1/10)*z*z)/z))/z*z*z**(-2/3)*z*z**(-4/11)*z*z*z**(-9) assuming z is positive. z**(-2683/330) Simplify (k**(-4/11))**(-7)*((k*k/k**(-3/19)*k*k)/k)/(k**(4/23)*k*k) assuming k is positive. k**(16966/4807) Simplify (n/((n*n**(-7/2)/n)/n)*n*n/(n/(n*n**(11/4)))*n*n)**5 assuming n is positive. n**(245/4) Simplify (((x*x**14)/((x*x/((((x/(x**(-3/5)*x))/x*x)/x*x)/x)*x)/x))**(-48))**(-41) assuming x is positive. x**(123984/5) Simplify ((h/(h*h**1))**(-14/3)/(h**(-3)*h/(h*h/h**(-3/4))))**47 assuming h is positive. h**(5311/12) Simplify ((k/(k/(k*k*k**(-10))*k)*k)/k)**(-2/107)*(k/k**(-1/5))/k**(-5) assuming k is positive. k**(3407/535) Simplify ((w**(-2/3))**(-9)/((w*(w**5*w)/w*w)/(w*w*w*w/(w*w/(w*w*w**1)))))**(-30) assuming w is positive. w**(-120) Simplify (w**34*w**(-5/13))**(-4/21) assuming w is positive. w**(-1748/273) Simplify (b**(-2))**(-8/9)/((b/(b/b**5*b))/(b/(b/((b/(b*b**12))/b)))) assuming b is positive. b**(-137/9) Simplify (((q/q**(-1/14))/(q
{ "pile_set_name": "DM Mathematics" }
k**2 - 190*b**3*g*k**2 + 2*b**2*g**2 - b**2*g*k**2 + b*g**2*k**2 + 1192*b*g*k - 2*g**2*k**2 - 38*k wrt b. -17004*g**2*k**2 - 1140*g*k**2 Find the second derivative of 3*b**4 + 31*b**3 + 1072*b**2 + 3635776*b wrt b. 36*b**2 + 186*b + 2144 What is the third derivative of -l**6 - 178*l**5 - l**3 + 19*l**2 + 968? -120*l**3 - 10680*l**2 - 6 What is the first derivative of -2*q*v*z + q*v - 332*q*z + 4*q - v*z + 256*v - z wrt v? -2*q*z + q - z + 256 Find the second derivative of 76137*i**2*s*w - 2*i**2*s + 2*i**2 + 2*i*s*w + 471*i*s + 33*w wrt i. 152274*s*w - 4*s + 4 Find the third derivative of 10955*t**4 - 4*t**3 - 160*t**2 - 373*t wrt t. 262920*t - 24 Find the third derivative of 4654*o**3*p*w + 3*o**3*p - 2*o**3*w**2 - 3*o**2*p*w**2 - 174*o**2*w - 2*o**2 - 2*o*p*w**2 - 64*p*w**2 wrt o. 27924*p*w + 18*p - 12*w**2 Find the second derivative of 4*c**4 + 6*c**2*g*n - 53*c**2*n + 2*c*g*n + 2*c*g - 247*g*n + 3*n wrt c. 48*c**2 + 12*g*n - 106*n What is the second derivative of -2417917*d**5 + 2979365*d? -48358340*d**3 Find the third derivative of -6*d**6 - 927*d**5 - 3*d**4 + 58057*d**2 wrt d. -720*d**3 - 55620*d**2 - 72*d What is the third derivative of 531*p**3*x**4 + 20*p**3*x**3 + 2*p**3*x**2 - 11918*p**3 wrt x? 12744*p**3*x + 120*p**3 Find the third derivative of 15*i**4 + 12614*i**3 - 105868*i**2. 360*i + 75684 What is the third derivative of 3*m*r**2*w**3 - m*r**2*w**2 - 7*m*r**2 - 689*m*r*w**3 + 471*r**2 + w**3 wrt w? 18*m*r**2 - 4134*m*r + 6 What is the second derivative of -85*i**3*v**2 - 45*i**3*v + 54116*i*v**2 wrt i? -510*i*v**2 - 270*i*v What is the second derivative of 358237*r**3 + r - 172446 wrt r? 2149422*r Find the third derivative of -89668*d**6 - 29*d**2 - 2*d - 3796. -10760160*d**3 What is the second derivative of 2*f**2*o + 546*f**2 + 7*f*o + 55*f - 5*o wrt f? 4*o + 1092 Find the third derivative of -5*a*c**3*i - 41*a*c**2*i**2 + 11*a*c**2*i - 2*a*i**2 - 1215*c**3*i**2 + 2*i**2 wrt c. -30*a*i - 7290*i**2 What is the third derivative of 61*b**5 - 3*b**4 + 27*b**2 - 44*b - 1 wrt b? 3660*b**2 - 72*b Differentiate -t**3 - 8916*t**2 + 20676 wrt t. -3*t**2 - 17832*t What is the second derivative of -2*a*w**3 - 74*a*w**2 - 2*a*w - 22*a - 6*w**3 - 2*w**2 - 111 wrt w? -12*a*w - 148*a - 36*w - 4 Find the first derivative of -2247968*f**2 - 5800682. -4495936*f Find the third derivative of -9*b**5 + 218*b**4 + 22*b**3 + 737923*b**2 wrt b. -540*b**2 + 5232*b + 132 What is the derivative of -17*b*i - 31457*b*o**3 - 48*i*o + 29*o**3 - 64*o**2 + 2*o - 1 wrt b? -17*i - 31457*o**3 What is the derivative of -3611*g**2 + 28*g + 113193? -7222*g + 28 Find the third derivative of 35*r**6 - r**4 + 4*r**3 - 184025*r**2. 4200*r**3 - 24*r + 24 Find the third derivative of 361251*a*k**4 - a*k**2 - 125*a - 30*k**2 + 2*k - 10 wrt k. 8670024*a*k Find the second derivative of -33*i**2*s**2 + 74*i**2*s + 2*i**2 + 5*i*s**2 - 2*i*s - 26*i + 9*s**2 wrt i. -66*s**2 + 148*s + 4 What is the derivative of 5*s**4 + 883*s**3 + s**2 + 3*s + 67941 wrt s? 20*s**3 + 2649*s**2 + 2*s + 3 What is the first derivative of -165*b**2 - 452*b + 1208932 wrt b? -330*b - 452 What is the third derivative of 13704*q**5 - 2*q**3 + 127293*q**2? 822240*q**2 - 12 What is the second derivative of 888582*r**4 - 2*r + 164207 wrt r? 10662984*r**2 Find the second derivative of 2*g**3 - 13058*g**2 - 12192*g + 2 wrt g. 12*g - 26116 What is the third derivative of -428*c**2*n**3 - c**2*n + 23*c*n**2 + 15*c*n - 10*n**3 - 70*n**2 - n wrt n? -2568*c**2 - 60 What is the first derivative of -42496*k*s**2 - 41426*k wrt s? -84992*k*s Differentiate -102*t**4*v**2 + 520*t*v**2 + 1422769*v**2 with respect to t. -408*t**3*v**2 + 520*v**2 Find the third derivative of -11929*x**3 + 1726*x**2 - 22*x wrt x. -71574 Differentiate 27*f**3*k**2 + 19*f*k - 4*f + k**2 - 2166*k + 2 wrt f. 81*f**2*k**2 + 19*k - 4 What is the derivative of 66*q**2*r + 31854*q**2 - 11*q*r + 2*q - 528*r - 9 wrt r? 66*q**2 - 11*q - 528 Find the third derivative of 5*c*f**4 - 10*c*f**3 - 2*c*f**2 - 14*c - f**4 - 5*f**3 - 52*f**2 - 1 wrt f. 120*c*f - 60*c - 24*f - 30 Find the first derivative of 54919*l + 104152 wrt l. 54919 What is the third derivative of 3*c**5 + 851*c**4 + 7*c**3 - 3696239*c**2 wrt c? 180*c**2 + 20424*c + 42 What is the third derivative of -5711137*a**3 + 389045*a**2? -34266822 Find the first derivative of 170668*v - 111549. 170668 What is the second derivative of -p*u**3 + p*u**2 - 2*p*u + p - 162*u**3 + 26*u**2 + 6*u - 1976 wrt u? -6*p*u + 2*p - 972*u + 52 What is the derivative of 371*q**2*r**3*s - 2*q**2*r**3 - 22*q*s - 4*r**3 - 148755*s wrt q? 742*q*r**3*s - 4*q*r**3 - 22*s Find the first derivative of -5*p**2 - 188244*p - 4066186. -10*p - 188244 What is the second derivative of j**5 - 33*j**4 + 4691*j**3 - 2*j + 2003415? 20*j**3 - 396*j**2 + 28146*j Differentiate -108*c**2*i**3 + c**2*i**2 + 148*c + 451*i**3 - 122 wrt c. -216*c*i**3 + 2*c*i**2 + 148 Find the second derivative of 250019*t**2 + 133630*t wrt t. 500038 Find the second derivative of -36*p**3*u**2*w - p**3 - 130*p*u**2*w - 4*p*u*w - 600*p*w + u**2 wrt u. -72*p**3*w - 260*p*w + 2 Find the second derivative of a*j*t*z - 51*a*j*z + 305*a*t**2*z + 4*a*t + 1635*j*t**2 - 2*j*t + 15*j + 15*t*z wrt t. 610*a*z + 3270*j What is the first derivative of 84720*d**2*w - 117*d**2 - 114*d wrt w? 84720*d**2 Find the second derivative of -76*g**2*n**3 + g**2*n**2 - 77*g**2*n + 38938*g*n**3 + g*n wrt g. -152*n**3 + 2*n**2 - 154*n Find the third derivative of 2*d**6*l**3 - 107427*d**3*l*s + 4*d**2*l**3 + d**2*l**2 - 66*d**2 - l**2 + 2*s wrt d. 240*d**3*l**3 - 644562*l*s What is the third derivative of 51828*h*s**3*y**3 - h*s**2*y**2 + 79*h*s*y**3 - 4*h*y**3 - 8*s**2*y**2 wrt s? 310968*h*y**3 What is the third derivative of 101799*q**3*x**3 - 109675*q**3*x**2 - 2*x**5 wrt x? 610794*q**3 - 120*x**2 Find the second derivative of -h**3 + 14659*h**2 + 8071*h - 9 wrt h. -6*h + 29318 Differentiate 5*r**2*w - 2*r**2*y - 71720*r*w*y + 38599*r*y + w**3 with respect to w. 5*r**2 - 71720*r*y + 3*w**2 Find the third derivative of -3852834*z**6 + 411358*z**2. -462340080*z**3 Find the third derivative of -15482*y**3 - 282*y**2 + 13*y + 2 wrt y. -92892 What is the derivative of 1334810*a - 1920032? 1334810 Find the third derivative of 7*s**3*x**2 + 1340*s**3 - 2*s**2*x**2 - 93*s**2 + 32*s*x**2 - 4*x wrt s. 42*x**2 + 8040 What is the third derivative of -2408401*d**4 - 3782153*d**2 wrt d? -57801624*d Find the third derivative of -141871*a**3 - 415599*a**2. -851226 Find the second derivative of 26696*r*x**2 + r*x - 1956*x wrt x. 53392*r What is the second derivative of -27*h**4 + 49*h**3 - 3*h**2 + 42172*h? -324*h**2 + 294*h - 6 Find the second derivative of 130*p*v**3 + 6*p*v**2 + 40235*p*v + 2*v**2 wrt v. 780*p*v + 12*p + 4 What is the second derivative of s**2*t**4 + 3*s**2 + 2766*s*t - 5671*t**5 wrt t? 12*s**2*t**2 - 113420*t**3 What is the second derivative of 36*m**3*o + 318*m**2*o**2 + 2860*m*o**2 + 3*m*o wrt m? 216*m*o + 636*o**2 What is the derivative of 4*h**3*v - 5913*h*v + 10510*v wrt h? 12*h**2*v - 5913*v What is the derivative of -2*j*k**2*w**2 + 9515*j*k**2*w - 3032*k**2*w**2 - 4*w**2 wrt j? -2*k**2*w**2 + 9515*k**2*w Find the second derivative of 101*x**5 - 5*x**4 - 4*x**3 - x**2 - 124435*x. 2020*x**3 - 60*x**2 - 24*x - 2 Differentiate -3*b**3*k - b**2*k**2 + 43724*b*k + 28865*k**2 with respect to b. -9*b**2*k - 2*b*k**2 + 43724*k Find the third derivative of 8*c**3*j*v + 3162*c**3*j - 2*c**3*v - 7*c**2*j*v - 26*c**2*j + 253*c*j*v + c*v wrt c. 48*j*v + 18972*j - 12*v What is the second derivative of 2383572*l**5 - 46049*l - 9? 47671440*l**3 What is the first derivative of 1931*c**4 + 2*c**2*o - 79597*o wrt c? 7724*c**3 + 4*c*o What is the first derivative of -31615*a*r**2 + 115624*r**2 wrt a? -31615*r**2 Find the second derivative of 3745111*y**5 + 48645*y + 34 wrt y. 74902220*y**3 Find the third derivative of -2*f**3*h - 1527*f**3*j - 2*f**3 + f**2*h*j + 4*f**2*h - 1233*f**2*j - 5*f*h*j + 2*f - 2*h*j wrt f. -12*h - 9162*j - 12 Find the third derivative of -788801*q**2*t*u**3 - 49*q**2*u**2 - q**2*u + 97*q*t*u**2 + 12*q*t - 2*q*u**2 - t*u wrt u. -4732806*q**2*t Find the first derivative of 27*x*z**2 + 2505*x*z - 628033*x - 2*z**2 - z wrt z. 54*x*z + 2505*x - 4*z - 1 What is t
{ "pile_set_name": "DM Mathematics" }
thout replacement from yzlllvykzlzvkyvk. Give prob of sequence kvv. 3/560 What is prob of sequence rd when two letters picked without replacement from pphdpprpphr? 1/55 What is prob of sequence px when two letters picked without replacement from wccxwwwcpcxww? 1/78 What is prob of sequence gbr when three letters picked without replacement from {r: 3, g: 1, k: 2, m: 1, b: 3}? 1/80 Three letters picked without replacement from {d: 2, w: 4, p: 4, n: 1}. Give prob of sequence wpw. 8/165 Calculate prob of sequence jbj when three letters picked without replacement from {t: 1, f: 1, b: 4, n: 1, j: 2}. 1/63 Two letters picked without replacement from ryryqtii. Give prob of sequence yy. 1/28 What is prob of sequence ada when three letters picked without replacement from {a: 2, d: 2, p: 4}? 1/84 Three letters picked without replacement from {e: 2, k: 2, l: 2, x: 6}. What is prob of sequence kll? 1/330 What is prob of sequence vz when two letters picked without replacement from zzvzzzzvzzzz? 5/33 Three letters picked without replacement from guugu. What is prob of sequence uuu? 1/10 Three letters picked without replacement from aggaag. What is prob of sequence gag? 3/20 What is prob of sequence rjjr when four letters picked without replacement from {j: 4, r: 3}? 3/35 What is prob of sequence wwxw when four letters picked without replacement from {x: 1, v: 4, w: 5}? 1/84 What is prob of sequence kn when two letters picked without replacement from nozfokofooffoof? 1/210 Two letters picked without replacement from {f: 2, k: 7, p: 5, h: 5}. What is prob of sequence hk? 35/342 Calculate prob of sequence xxja when four letters picked without replacement from {n: 1, a: 8, x: 9, j: 2}. 16/1615 Calculate prob of sequence vtvt when four letters picked without replacement from {v: 10, t: 6, k: 2}. 5/136 Two letters picked without replacement from aaajjaaaajjaaaaaaaja. What is prob of sequence jj? 1/19 What is prob of sequence sd when two letters picked without replacement from sddds? 3/10 Calculate prob of sequence ll when two letters picked without replacement from kkllklkk. 3/28 Calculate prob of sequence elf when three letters picked without replacement from llljefbfrjbrble. 8/1365 Two letters picked without replacement from bbkngnn. What is prob of sequence bg? 1/21 Three letters picked without replacement from {g: 4, z: 1, k: 1, j: 4}. Give prob of sequence zjk. 1/180 Calculate prob of sequence yyyy when four letters picked without replacement from {a: 2, y: 9}. 21/55 Four letters picked without replacement from {d: 2, e: 8, q: 3, l: 7}. What is prob of sequence qeel? 49/4845 What is prob of sequence aaaj when four letters picked without replacement from {a: 7, n: 1, j: 2}? 1/12 Four letters picked without replacement from mmhhmhmhhhiaamhaich. Give prob of sequence ihhi. 7/5814 What is prob of sequence ubu when three letters picked without replacement from {b: 1, u: 2}? 1/3 Two letters picked without replacement from {h: 1, a: 1, r: 1, w: 1, x: 1}. What is prob of sequence hx? 1/20 What is prob of sequence qyx when three letters picked without replacement from {y: 2, x: 4, q: 2, r: 1}? 2/63 Calculate prob of sequence gp when two letters picked without replacement from {j: 4, s: 1, p: 4, g: 1, y: 1}. 2/55 Three letters picked without replacement from eeeeee. What is prob of sequence eee? 1 Calculate prob of sequence nc when two letters picked without replacement from cdnabnc. 2/21 Two letters picked without replacement from {v: 2, d: 2, b: 1}. Give prob of sequence bd. 1/10 Three letters picked without replacement from {y: 7, g: 3}. Give prob of sequence ygg. 7/120 What is prob of sequence rrxk when four letters picked without replacement from rxxurxkkrrux? 4/495 Three letters picked without replacement from yooyoyyyyoy. What is prob of sequence yyy? 7/33 Calculate prob of sequence weq when three letters picked without replacement from eeeeweewqweewe. 3/182 Three letters picked without replacement from uvxdxpwdwdudpd. What is prob of sequence upw? 1/273 What is prob of sequence ncqq when four letters picked without replacement from qnnnncbnnnnnbb? 0 Calculate prob of sequence qq when two letters picked without replacement from sssqssqcssssnqs. 1/35 What is prob of sequence faa when three letters picked without replacement from {a: 5, w: 1, p: 2, f: 6, o: 3}? 1/34 Three letters picked without replacement from ccffzccccccz. Give prob of sequence zfz. 1/330 Two letters picked without replacement from sgjhjjjhsjsjsjssssjj. What is prob of sequence jg? 9/380 Three letters picked without replacement from vgpipigipp. What is prob of sequence ipg? 1/30 Calculate prob of sequence uw when two letters picked without replacement from wpunw. 1/10 Three letters picked without replacement from jrzzzzjzjj. Give prob of sequence zjz. 1/9 Calculate prob of sequence jowj when four letters picked without replacement from {j: 10, w: 3, k: 3, t: 2, o: 2}. 3/646 Three letters picked without replacement from yryyrdyyerrxrrrryrx. Give prob of sequence edy. 1/969 Two letters picked without replacement from gpgjwjbb. What is prob of sequence gp? 1/28 Two letters picked without replacement from eewwqeqeeqeeq. Give prob of sequence eq. 7/39 Four letters picked without replacement from {f: 4, k: 2}. Give prob of sequence fkkf. 1/15 What is prob of sequence cmmm when four letters picked without replacement from ummuccmu? 1/140 Two letters picked without replacement from {q: 4, n: 1, p: 4, w: 2}. Give prob of sequence pq. 8/55 Two letters picked without replacement from qllqqqmqrjlmq. Give prob of sequence jl. 1/52 Two letters picked without replacement from {j: 1, d: 2, q: 2, w: 1, k: 1}. What is prob of sequence kd? 1/21 Four letters picked without replacement from jqqqqjqqqqjjqqqqqqqq. What is prob of sequence qqqj? 112/969 What is prob of sequence qi when two letters picked without replacement from {i: 6, q: 6}? 3/11 Two letters picked without replacement from lluiyfflusyl. What is prob of sequence iy? 1/66 What is prob of sequence su when two letters picked without replacement from {c: 1, u: 2, s: 2, i: 2, h: 1, d: 1}? 1/18 Three letters picked without replacement from {t: 4, s: 3}. Give prob of sequence stt. 6/35 Calculate prob of sequence qq when two letters picked without replacement from qqqqeqeq. 15/28 Four letters picked without replacement from {j: 1, v: 1, i: 2}. What is prob of sequence vjii? 1/12 Calculate prob of sequence gn when two letters picked without replacement from {c: 1, g: 4, j: 7, n: 2}. 4/91 What is prob of sequence wwt when three letters picked without replacement from {w: 7, t: 9}? 9/80 Three letters picked without replacement from blctlc. What is prob of sequence clb? 1/30 Two letters picked without replacement from {e: 4, w: 1, u: 2, i: 3, g: 1, k: 1}. Give prob of sequence ee. 1/11 Calculate prob of sequence xkk when three letters picked without replacement from {k: 2, x: 1}. 1/3 Two letters picked without replacement from zpzpz. Give prob of sequence zz. 3/10 Three letters picked without replacement from {r: 7, k: 12}. What is prob of sequence rrk? 28/323 Four letters picked without replacement from vvvmvvvvvvmmmm. What is prob of sequence vvvm? 15/143 Two letters picked without replacement from hhhhh. What is prob of sequence hh? 1 Three letters picked without replacement from {y: 2, j: 3, z: 4, r: 1}. Give prob of sequence yzr. 1/90 What is prob of sequence usvv when four letters picked without replacement from {s: 1, v: 2, p: 1, u: 6, k: 10}? 1/9690 Two letters picked without replacement from {z: 7, f: 2, e: 7, d: 3}. Give prob of sequence ff. 1/171 Three letters picked without replacement from vvbvb. Give prob of sequence vbv. 1/5 What is prob of sequence cpa when three letters picked without replacement from {p: 6, n: 2, z: 2, a: 4, b: 2, c: 1}? 1/170 Two letters picked without replacement from oookkkkoookoo. Give prob of sequence kk. 5/39 Calculate prob of sequence ys when two letters picked without replacement from jysjy. 1/10 Four letters picked without replacement from uuuuuuhuukuhkbuuhfu. Give prob of sequence bhkh. 1/7752 Calculate prob of sequence aacc when four letters picked without replacement from {c: 5, a: 5, y: 4}. 50/3003 Three letters
{ "pile_set_name": "DM Mathematics" }
ate v. -2065 Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0. -6, -1 Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n? -3, -1/3, 2 Suppose 4*b**2 - 4*b - 24 = 0. Calculate b. -2, 3 Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m? -2, -1, 0, 1/4, 2 Factor 5*q**5 + 30*q**4 - 20*q**3 - 120*q**2. 5*q**2*(q - 2)*(q + 2)*(q + 6) Solve 3*w**5/2 - 9*w**3/2 - 3*w**2 = 0 for w. -1, 0, 2 Factor 3*q**2/8 + 75*q/8 + 9. 3*(q + 1)*(q + 24)/8 Factor 4*l**2/9 + 416*l/9 + 10816/9. 4*(l + 52)**2/9 Solve 3*v**2/5 + 318*v/5 = 0. -106, 0 Factor -2*c**2/11 + 340*c/11 - 14450/11. -2*(c - 85)**2/11 Find o, given that 2*o**2/15 + 428*o/15 - 86/3 = 0. -215, 1 Factor -105*n**2 - 103*n + 2. -(n + 1)*(105*n - 2) Factor 4*s**3 - 476*s**2 + 12348*s + 111132. 4*(s - 63)**2*(s + 7) Factor -13*i**3/4 + 67*i**2/4 + 17*i - 3. -(i - 6)*(i + 1)*(13*i - 2)/4 Suppose -2*g**5 + 44*g**4 - 282*g**3 + 440*g**2 - 200*g = 0. Calculate g. 0, 1, 10 Factor -4*w**2 + 456*w. -4*w*(w - 114) Let 5*z**2 + 2510*z + 315005 = 0. What is z? -251 Factor -4*a**3/5 + 171*a**2/5 + 46*a/5 - 129/5. -(a - 43)*(a + 1)*(4*a - 3)/5 Suppose 3*a**4/8 - 21*a**3/4 + 12*a**2 + 48*a = 0. What is a? -2, 0, 8 Let -32*t**2 + 582*t - 108 = 0. What is t? 3/16, 18 Determine f so that 2*f**5/13 - 36*f**4/13 + 218*f**3/13 - 504*f**2/13 + 392*f/13 = 0. 0, 2, 7 Determine i, given that 20*i**5 - 185*i**4 - 855*i**3 + 1845*i**2 + 6075*i - 1620 = 0. -3, 1/4, 3, 12 What is l in 3*l**2/8 + 15*l/4 - 189 = 0? -28, 18 Suppose 3*g**3/5 + 66*g**2/5 + 363*g/5 = 0. What is g? -11, 0 Let 4*s**3 + 168*s**2 + 1584*s - 3872 = 0. What is s? -22, 2 Suppose 38*v**3/11 - 916*v**2/11 + 5568*v/11 - 576/11 = 0. What is v? 2/19, 12 Factor 3*k**2 + 15*k - 312. 3*(k - 8)*(k + 13) Suppose 2*m**5/5 + 14*m**4/5 + 8*m**3/5 - 24*m**2/5 = 0. What is m? -6, -2, 0, 1 Find d, given that 5*d**4 - 5*d**3 - 5*d**2 + 5*d = 0. -1, 0, 1 Factor 4*g**3 + 12*g**2 + 8*g. 4*g*(g + 1)*(g + 2) Factor -w**3/4 - 11*w**2 + 45*w/4. -w*(w - 1)*(w + 45)/4 Solve -3*b**5 - 9*b**4 + 39*b**3 + 45*b**2 = 0 for b. -5, -1, 0, 3 Factor -4*n**3 + 196*n. -4*n*(n - 7)*(n + 7) Factor 3*q**3 + 21*q**2 + 36*q. 3*q*(q + 3)*(q + 4) Determine j so that 3*j**2 + 90*j - 1677 = 0. -43, 13 Let -4*d**5 + 197*d**4 - 45*d**3 - 197*d**2 + 49*d = 0. What is d? -1, 0, 1/4, 1, 49 What is l in l**3/4 - 7*l**2/2 + 49*l/4 = 0? 0, 7 Factor -x**4/2 + 3*x**3 + 63*x**2/2 + 52*x + 24. -(x - 12)*(x + 1)**2*(x + 4)/2 Factor 7*k**3/3 + 32*k**2 + 21*k - 26/3. (k + 1)*(k + 13)*(7*k - 2)/3 Solve -u**2 - 149*u/7 - 6 = 0 for u. -21, -2/7 Solve -3*k**2/2 - 27*k/2 + 33 = 0 for k. -11, 2 Solve -15*l**4/8 + 101343*l**3/4 - 114118974*l**2 + 171361048656*l - 68526162048 = 0 for l. 2/5, 4504 Factor o**5 + 22*o**4 + 41*o**3 + 20*o**2. o**2*(o + 1)**2*(o + 20) Factor 2*i**4/3 - 22*i**3/3 - 32*i**2/3 + 640*i/3. 2*i*(i - 8)**2*(i + 5)/3 What is o in 2*o**3 + 164*o**2 + 1062*o + 900 = 0? -75, -6, -1 What is m in -m**4/6 + 3*m**3 - 17*m**2/6 = 0? 0, 1, 17 Factor -27*d**3/8 + 183*d**2/8 - 15*d - 9/2. -3*(d - 6)*(d - 1)*(9*d + 2)/8 What is z in 3*z**3/7 + 138*z**2/7 - 285*z/7 + 144/7 = 0? -48, 1 Factor p**3 - 1062*p**2 + 2121*p - 1060. (p - 1060)*(p - 1)**2 Let 2*a**2 + 752*a = 0. What is a? -376, 0 Find i, given that i**5/8 + 9*i**4/8 - i**3/4 - 9*i**2/4 + i/8 + 9/8 = 0. -9, -1, 1 Suppose -j**3/3 - 71*j**2/3 - 45*j + 69 = 0. What is j? -69, -3, 1 Determine r so that 4*r**4 + 100*r**3 + 248*r**2 - 352*r = 0. -22, -4, 0, 1 Solve 2*z**5 - 2*z**4 - 6*z**3 + 2*z**2 + 4*z = 0 for z. -1, 0, 1, 2 Factor 3*w**4 - 147*w**3 + 1431*w**2 + 3315*w + 1734. 3*(w - 34)*(w - 17)*(w + 1)**2 Factor 74*c**3/5 + 8*c**2/3. 2*c**2*(111*c + 20)/15 Factor 2*q**5/7 - 194*q**4/7 + 382*q**3/7 - 190*q**2/7. 2*q**2*(q - 95)*(q - 1)**2/7 Factor -2*k**4/5 - 176*k**3/5 - 3504*k**2/5 + 16192*k/5 - 16928/5. -2*(k - 2)**2*(k + 46)**2/5 Find x such that 2*x**5 + 156*x**4 + 3178*x**3 + 4720*x**2 - 19608*x + 11552 = 0. -38, -4, 1 Factor -2*c**3/5 + 336*c**2/5 - 14442*c/5 + 27556/5. -2*(c - 83)**2*(c - 2)/5 Let -y**5/6 + 43*y**4/6 - 241*y**3/3 + 199*y**2/3 + 161*y/2 - 147/2 = 0. Calculate y. -1, 1, 21 Solve -3*a**4/10 - 4*a**3/5 - a**2/10 + 4*a/5 + 2/5 = 0. -2, -1, -2/3, 1 Find j, given that 2*j**5/19 - 4*j**4/19 - 2*j**3/19 + 4*j**2/19 = 0. -1, 0, 1, 2 Factor y**5/8 + 9*y**4/8 + 3*y**3/2 - 8*y**2 - 24*y - 18. (y - 3)*(y + 2)**3*(y + 6)/8 Factor 3*q**2/4 - 201*q/4 + 99/2. 3*(q - 66)*(q - 1)/4 Factor 6*i**2/7 + 236*i/7 + 304/7. 2*(i + 38)*(3*i + 4)/7 Solve q**2/5 - 4*q/5 = 0 for q. 0, 4 Factor 3*z**2/5 - 21*z/5 - 36. 3*(z - 12)*(z + 5)/5 What is y in 2*y**5/3 - 158*y**4/3 - 322*y**3/3 - 54*y**2 = 0? -1, 0, 81 Factor -2*s**2/7 + 512/7. -2*(s - 16)*(s + 16)/7 Factor -3*c**2/5 + 6*c/5 + 21. -3*(c - 7)*(c + 5)/5 Find g, given that -g**2/4 + 111*g/4 + 351/2 = 0. -6, 117 Let 25*g**4/4 - 60*g**3 + 301*g**2/4 + 75*g/2 + 4 = 0. What is g? -1/5, 2, 8 Suppose -6*m**3 + 310*m**2/3 - 356*m/3 + 64/3 = 0. Calculate m. 2/9, 1, 16 Factor -5*j**3 - 40*j**2 - 35*j. -5*j*(j + 1)*(j + 7) Determine i so that 4*i**2/3 + 140*i + 824/3 = 0. -103, -2 Factor -2*c**2/13 - 388*c/13 - 18818/13. -2*(c + 97)**2/13 Find o, given that -4*o**3 + 20*o**2 - 32*o + 16 = 0. 1, 2 Let -3*o**4 + 1692*o**3 + 3*o**2 - 1692*o = 0. What is o? -1, 0, 1, 564 Factor n**4 + 1580*n**3 + 625677*n**2 + 1245042*n. n*(n + 2)*(n + 789)**2 Find d, given that -d**5/6 + d**4 + 7*d**3/6 = 0. -1, 0, 7 Solve 5*w**3 - 75*w**2 - 5*w + 75 = 0 for w. -1, 1, 15 Suppose -3*o**5 - 81*o**4 + 354*o**3 - 546*o**2 + 369*o - 93 = 0. What is o? -31, 1 Suppose -6*z**2/5 + 16*z/5 + 32/5 = 0. What is z? -4/3, 4 Factor 8*p**3 - 5*p**2 - 51*p - 18. (p - 3)*(p + 2)*(8*p + 3) Let 3*g**3 + 117*g**2 + 222*g = 0. Calculate g. -37, -2, 0 Factor 2*o**2/5 + 16*o/5 - 8. 2*(o - 2)*(o + 10)/5 Factor -2*l**3/13 + 366*l**2/13 - 726*l/13 + 362/13. -2*(l - 181)*(l - 1)**2/13 Let -4*d**5 - 56*d**4 + 4*d**3 + 56*d**2 = 0. Calculate d. -14, -1, 0, 1 Determine a so that 2*a**2 + 88*a + 936 = 0. -26, -18 Factor 2*i**3/5 - 20*i**2 + 438*i/5 + 108. 2*(i - 45)*(i - 6)*(i + 1)/5 Solve 3*p**3 - 87*p**2 + 825*p - 2541 = 0 for p. 7, 11 Solve 2*h**2 - 1394*h + 1392 = 0 for h. 1, 696 Factor 2*b**5/3 - 2*b**4 + 4*b**3/3. 2*b**3*(b - 2)*(b - 1)/3 Factor -3*l**2 + 27*l - 42. -3*(l - 7)*(l - 2) Find o such that -38*o**4 - 262*o**3 - 124*o**2 + 472*o - 48 = 0. -6, -2, 2/19, 1 Factor -4*i**3 + 52*i**2 + 116*i + 60. -4*(i - 15)*(i + 1)**2 What is n in 5*n**2 - 55*n - 60 = 0? -1, 12 Find x, given that -2*x**5/5 + 52*x**4 + 264*x**3/5 - 52*x**2 - 262*x/5 = 0. -1, 0, 1, 131 What is v in 2*v**5 + 10*v**4/3 - 124*v**3/3 - 356*v**2/3 - 46*v + 30 = 0? -3, -1, 1/3, 5 What is f in -f**3/7 - 202*f**2/7 - 1185*f/7 - 252 = 0? -196, -3 Determine c so that 3*c**3 + 6*c**2 - 297*c = 0. -11, 0, 9 Solve -5*h**2 - 240*h + 2240 = 0. -56, 8 Solve 2*j**2 - 2688*j - 2690 = 0 for j. -1, 1345 Find u, given that 3*u**3 + 12*u**2 - 153*u - 162 = 0. -9, -1, 6 Determine q so that 3*q**4/5 - 36*q**3/5 - 69*q**2/5 + 414*q/5 - 312/5 = 0. -4, 1, 2, 13 What is y in 2*y**5 + 20*y**4 - 22*y**3 = 0? -11, 0, 1 Factor 2*f**2 + 176*f/7 + 96/7. 2*(f + 12)*(7*f + 4)/7 Factor 2*d**5/3 - 68*d**4 + 1734*d**3. 2*d**3*(d - 51)**2/3 Solve -o**2/3 - 110*o/3 + 224/3 = 0 for o. -112, 2 Find a such that 2*a**2/13 + 384*a/13 - 386/13 = 0. -193, 1 Suppose 2*m**2 - 1636*m - 3280 = 0. Calculate m. -2, 820 Solve -5*z**4 - 165*z**3 - 120*z**2 + 1340*z + 1920 = 0 for z. -32, -2, 3 Solve -3*a**2/8 - 189*a/4 - 11907/8 = 0 for a. -63 Suppose 5*a**5 - 80*a**4 - 95*a**3 + 170*a**2 = 0. What is a? -2, 0, 1, 17 Factor 3*n**3 + 12*n**2 - 1716*n. 3*n*(n - 22)*(n + 26) Factor 3*u**2 + 450*u. 3*u*(u + 150) Find w, given that w**5/3 - 10*w**4/3 - 4*w**3 + 10*w**2/3 + 11*w/3 = 0. -1, 0, 1, 11 What is n in -3*n**2 - 399*n - 786 = 0? -131, -2 Find r, given that 2*r**4 - 228*r**3 - 1440*r**2 - 64*r + 7680 = 0. -4, 2, 120 Suppose -n**4/4 + 65*n**3/4 - 183*n**2/2 + 179*n - 118 = 0. What is n? 2, 59 Determine m, given that 3*m**3 - 15*m**2 + 12*m = 0. 0, 1, 4 Factor -5*a**3 + 20*a**2 + 45*a - 180. -5*(a - 4)*(a - 3)*(a + 3) Factor 3*z**3 + 195*z**2/4 + 423*z/2 + 1107/4. 3*(z + 3)**2*(4*z + 41)/4 Determine g, given that -5*g**4 - 72*g**3 - 93*g**2 - 26*g = 0. -13, -1, -2/5, 0 Find a such that 4*a**5/9
{ "pile_set_name": "DM Mathematics" }
(c) 0.3 c Which is the closest to 19/7? (a) -0.2 (b) -3 (c) -17 a What is the closest to -2 in -2/21, 4, 247, 2? -2/21 What is the closest to 2 in 0.56, -0.03, 2/7? 0.56 What is the closest to 0.06 in 1/5, -3, 1.3? 1/5 Which is the closest to -1/5? (a) -1 (b) -0.5 (c) 6/13 (d) 0.028 d Which is the nearest to 4? (a) 1 (b) 4 (c) -3 (d) 0.18 b What is the nearest to 1/3 in 164, 0.4, 1/2? 0.4 What is the nearest to -78 in 0.2, -0.4, 2, -4? -4 What is the closest to -2/3 in -0.3, 0.03, 1, -6? -0.3 Which is the closest to 0? (a) 4 (b) 0.8 (c) -2/25 (d) 2 c What is the closest to -4 in 1/7, -0.05, 0, -0.2? -0.2 What is the closest to 2/71 in 0.09, -4, 5? 0.09 What is the closest to 1.7 in -4, -2/11, 0, 5/6? 5/6 What is the nearest to -8/39 in -0.3, 1, -5, -0.1? -0.3 Which is the closest to 2/7? (a) -2 (b) -2/19 (c) 2 (d) 0.4 d What is the closest to -7 in -1, 0.07, 0.1? -1 What is the nearest to 0.1 in -3, 0.2, 14? 0.2 What is the closest to -2 in -7, -3, -0.3, -0.1? -3 Which is the nearest to -0.34? (a) 4 (b) -5 (c) 0.1 c What is the closest to -5 in -6/5, 0.4, -3, -130/7? -3 What is the closest to 2/5 in -3/2, 5, 2/11, -6/11? 2/11 What is the closest to 0.3 in 0, -1/3, 162? 0 What is the nearest to -0.06 in 2/7, 2/17, 1/7, 0.12? 2/17 What is the nearest to 0.1 in -23, 4, 1, -4? 1 What is the closest to 75 in -1/6, -0.5, 0? 0 Which is the closest to -2/5? (a) 1/126 (b) 0.4 (c) 1 a What is the nearest to 2 in -2, -5, 0.58? 0.58 Which is the closest to -2/7? (a) 1/3 (b) -1 (c) 2/83 c What is the closest to 5 in 1/28, -3, 2/9? 2/9 Which is the closest to -1? (a) -9 (b) 16 (c) -2 c Which is the closest to -0.14? (a) -0.3 (b) 0.5 (c) -5 a What is the closest to 0.1 in -1/3, -6, 0.89? -1/3 What is the closest to -0.1 in -0.4, 0.5, 2/13, 13? 2/13 Which is the nearest to 0.1? (a) 21 (b) -0.01 (c) 0.5 b Which is the nearest to 2? (a) -4 (b) -1/3 (c) 9 b Which is the nearest to 466? (a) -2 (b) 1/6 (c) -11 b What is the nearest to 66 in 5, 0.3, 17/7? 5 What is the closest to -12 in -1, 0, 4/5? -1 What is the closest to 0.08 in 1/4, 0.3, 13/5, 5? 1/4 What is the nearest to -2/865 in -2, -4, -1/5? -1/5 What is the closest to -3/7 in 6, 4/7, 1/8, 1/6? 1/8 Which is the nearest to 1? (a) 25 (b) 4 (c) -0.2 (d) 1/4 d Which is the nearest to -3? (a) -5 (b) -4/5 (c) -61 a Which is the closest to -0.1? (a) 254 (b) -8 (c) -1 (d) 1/5 d Which is the nearest to 0? (a) -8 (b) -4 (c) 1 (d) -5 c What is the nearest to -1 in 2/15, 0.3, -1, 14? -1 What is the nearest to -1 in -1/6, -8/25, 0.1, -0.4? -0.4 What is the nearest to 1/11 in -0.5, 2, -3? -0.5 Which is the closest to 4/7? (a) -1 (b) 3/7 (c) 5/3 b Which is the closest to -3? (a) 0.3 (b) -0.4 (c) 14 (d) -2/3 d Which is the nearest to 3? (a) -2/3 (b) -0.5 (c) -4.42 (d) 1 d Which is the nearest to 1/2? (a) 2/31 (b) 0.2 (c) -5 (d) -2 b Which is the nearest to 2/5? (a) 1/8 (b) -189/2 (c) -1 a Which is the nearest to -0.1? (a) 1 (b) -0.1 (c) 3/4 (d) 2 b What is the closest to -0.1 in -2/9, -5, 18, 2/31? -2/9 What is the nearest to -1/2 in -1/11, 4/3, -2/15? -2/15 What is the nearest to -1/2 in -2/15, -3, 20, 0.2? -2/15 What is the nearest to 4 in -3/5, -4/9, 43, 0.3? 0.3 Which is the nearest to 2? (a) 4/9 (b) -1/15 (c) 1 c What is the closest to -0.2 in 5, -2, -2/91, -3? -2/91 What is the closest to -2/3 in -2, 0.5, 0.4? 0.4 What is the nearest to 0.06 in 2/9, -3, 0.3? 2/9 Which is the closest to 1/3? (a) 1 (b) 62/7 (c) -5 a Which is the nearest to -7/3? (a) -2 (b) 0.3 (c) 2/27 a Which is the closest to 2? (a) -1/4 (b) -0.05 (c) 3/8 c What is the closest to -2.1 in 0.4, -2/9, 0.6? -2/9 Which is the closest to 9? (a) 0.7 (b) -4 (c) -1 (d) -5 a Which is the closest to 0? (a) -22.7 (b) -6 (c) 2/3 (d) 1/2 d What is the closest to -1/6 in 0.1, 5, 4/5? 0.1 Which is the closest to 14? (a) 1/3 (b) -2/3 (c) -5 (d) 4/3 d Which is the nearest to 2? (a) -5 (b) 2 (c) 0 (d) -229 b What is the closest to 1 in 3, -0.4, 19, 0.07? 0.07 Which is the nearest to -1? (a) -3 (b) -4 (c) -2/147 (d) 4 c What is the closest to 0.2 in 2, 1.7, 1, 20? 1 What is the closest to 0 in -4, -2/7, -325, 0.1? 0.1 What is the closest to 0.1 in 1, 7/5, 3, 0? 0 Which is the closest to -1? (a) -0.1 (b) -0.063 (c) -3 (d) 1/3 a Which is the nearest to 2/13? (a) 0.02 (b) 5 (c) -2/9 a Which is the nearest to 0.047? (a) 1/9 (b) -3/2 (c) 4/7 a What is the closest to 1 in -1.1, 0, -0.5, 0.4? 0.4 What is the nearest to -1 in -0.2, 3, 0.2, 2/3? -0.2 What is the nearest to -2/9 in 0.2, 0.1, 2, -19/4? 0.1 What is the closest to -1/3 in 0, 4/7, 8, 1? 0 What is the closest to 0.1 in -2, 0.3, -0.3, -6? 0.3 What is the nearest to -1/3 in -0.2, -0.3, -2/29, -2? -0.3 Which is the nearest to -51? (a) 0.5 (b) -9 (c) -4 b Which is the nearest to -1? (a) -2/5 (b) 1 (c) -1/7 a Which is the nearest to -5? (a) 0 (b) 0.07 (c) 2/3 (d) -15 a What is the closest to -0.1 in -1/2949, -1, 1? -1/2949 Which is the closest to 1? (a) 0.19 (b) 3/8 (c) 2/3 c Which is the nearest to 0? (a) -4 (b) -889 (c) -1 c What is the closest to -1 in -1, 4, 6, -2? -1 What is the closest to 0.2 in -10, 0, 1, -0.3? 0 What is the nearest to -22 in 35/4, -1, 4? -1 Which is the nearest to -5? (a) 0.6 (b) 0.1 (c) -0.04 c What is the nearest to -2 in 4/7, 1.2, 1? 4/7 Which is the closest to 1/4? (a) 4 (b) -13/12 (c) 1/4 c What is the nearest to 0 in -0.2, -2/161, -3/5? -2/161 What is the closest to -38 in 10/3, -0.4, -3/2, 5? -3/2 Which is the nearest to 3/10? (a) 0.094 (b) -1 (c) -1/5 a Which is the closest to 3/7? (a) -1/6 (b) -1/4 (c) 5 (d) 1/11 d Which is the closest to -19? (a) -2 (b) 2/9 (c) -4 c Which is the closest to 3/14? (a) -10 (b) -8 (c) -5 c Which is the closest to 0.08? (a) 0.31 (b) 1 (c) 7 a Which is the nearest to -0.2? (a) -1/4 (b) -2/3 (c) 2/5 (d) 3/5 a What is the nearest to 1/3 in -1.7, 0, -3, -2/7? 0 Which is the nearest to 9? (a) 0.4 (b) 3 (c) -4/7 b What is the closest to 9 in -4, -2, 1/6, 3/8? 3/8 What is the nearest to -6/11 in -0.1, -1, -0.3, 4? -0.3 What is the nearest to 123 in 3/5, -5, -1/5? 3/5 What is the closest to 0 in -1/4, -4, 1, -5? -1/4 What is the nearest to 1 in 7, -4/9, 0.358, -0.5? 0.358 Which is the nearest to 0? (a) 3/4 (b) -0.008 (c) -2/11 b What is the nearest to -1 in 3, -1, -2/9, 0.5? -1 Which is the closest to 3? (a) 30/23 (b) 2/3 (c) 0.04 (d) 1/2 a Which is the closest to -1/3? (a) 0.5 (b) -5 (c) 0.044 (d) -4 c Which is the closest to -0.1? (a) -0.4 (b) 2 (c) 1/4 (d) -140 a What is the nearest to 4 in 3, 2/19, 1/5? 3 What is the closest to 0 in -5, -5474, -4? -4 What is the nearest to 0 in -2/3, -1/39, -3, -1/7? -1/39 What is the closest to 1 in 5, -5, 0.4, 2? 0.4 What is the closest to -6/5 in 3/2, 0.5, 0.05, 0.3? 0.05 What is the closest to 1 in -0.4, -0.2, -2, 11? -0.2 Which is the closest to -1? (a) 7 (b) 5 (c) -5 (d) 4 c What is the nearest to -12 in -4/5, -2/5, -0.03, -3/8? -4/5 Which is the closest to 2/9? (a) -0.1 (b) 1 (c) 4/7 (d) -2/3 a What is the nearest to 12 in -1/2, 7, 0.5, 0.2? 7 Which is the closest to 0? (a) 0 (b) 1.2 (c) 1 (d) -12 a What is the nearest to -8 in 1/3, -1, 4? -1 What is the closest to 34 in 2, -6, -2/5? 2 Which is the nearest to -2/9? (a) -4 (b) -0.3 (c) 3 (d) -7 b Which is the nearest to 2.2? (a) -4 (b) -3 (c) -1 (d) -2 c Which is the nearest to 1/2? (a) -15.6 (b) -2/17 (c) 2/5 c Which is the closest to -0.2? (a) -5 (b) 2 (c) 1/493 c What is the closest to -57 in 2/3, -5, -1, 0.3? -5 What is the nearest to -3/2 in 0.7, -5, 0.03, -3/5? -3/5 Which is the nearest to -1? (a) 281 (b) 1 (c) 2 b Which is the closest to -2? (a) 1/6 (b) 1.7 (c) -0.4 (d) -33 c What is the nearest to 2 in -0.5, 3/7, -2/13? 3/7 What is the closest to -1/3 in -0.05, -0.5, -3/7, -4? -3/7 Which is the nearest to -2/111? (a) -1 (b) 3 (c) -0.1 (d) -0.5 c What is the closest to -1.9 in -5, 2/605, -3? -3 What is the nearest to 2 in -0.2, 44, -0.4? -0.2 Which is the closest to 3? (a) -3/5 (b) 7/2 (c) -0.2 b Which is the nearest to 2? (a) -0.3 (b) 34 (c) -3/4 (d) -0.4 a Which is the nearest to 2/9? (a) -1050 (b) 0.5 (c) -1 b What is the closest to 3
{ "pile_set_name": "DM Mathematics" }
is 5.10752 rounded to 0 dps? 5 What is 0.6256 rounded to 1 dp? 0.6 What is 0.00566364 rounded to four decimal places? 0.0057 Round 15.1 to 1 decimal place. 15.1 What is 1411000 rounded to the nearest one hundred thousand? 1400000 Round -349800 to the nearest ten thousand. -350000 What is -1.4247 rounded to one decimal place? -1.4 What is -3093 rounded to the nearest one hundred? -3100 Round 0.00614 to four dps. 0.0061 Round 0.077695 to two dps. 0.08 What is -10709 rounded to the nearest 10000? -10000 Round 0.032163 to four dps. 0.0322 What is 730.72 rounded to the nearest 100? 700 What is -0.0000644 rounded to five decimal places? -0.00006 Round -8000000 to the nearest one hundred thousand. -8000000 What is -70941 rounded to the nearest one thousand? -71000 Round 563.627 to the nearest integer. 564 What is -901 rounded to the nearest one hundred? -900 Round -4599000 to the nearest one million. -5000000 Round -15193 to the nearest 100. -15200 Round 0.004327 to 3 dps. 0.004 What is 5730 rounded to the nearest ten thousand? 10000 Round -2.467 to one dp. -2.5 Round 360.74 to the nearest one hundred. 400 What is 12418000 rounded to the nearest one hundred thousand? 12400000 Round -0.017275 to 3 decimal places. -0.017 Round 0.000004566 to seven decimal places. 0.0000046 Round -0.00143 to 3 decimal places. -0.001 What is -0.00097574 rounded to 4 decimal places? -0.001 What is -0.187 rounded to one dp? -0.2 Round 1.0707 to one dp. 1.1 What is 183.57 rounded to the nearest 10? 180 Round -173850000 to the nearest 1000000. -174000000 Round -0.000032307 to 6 dps. -0.000032 Round 1086 to the nearest 10. 1090 Round -0.000024297 to six dps. -0.000024 What is 0.119 rounded to 2 decimal places? 0.12 Round 0.00001927 to 7 decimal places. 0.0000193 Round -0.00006407 to 5 decimal places. -0.00006 Round 0.00000117488 to 7 dps. 0.0000012 Round -0.0002373 to 6 decimal places. -0.000237 Round 0.28484 to two decimal places. 0.28 Round -0.000001063 to seven dps. -0.0000011 What is -2250 rounded to the nearest 1000? -2000 Round 4.51 to one decimal place. 4.5 What is 8288 rounded to the nearest one thousand? 8000 What is 43090000 rounded to the nearest one million? 43000000 What is -0.00011117 rounded to 6 dps? -0.000111 What is 14.672 rounded to zero decimal places? 15 What is -0.04871 rounded to three decimal places? -0.049 What is -483960 rounded to the nearest one thousand? -484000 Round 7.75 to 0 decimal places. 8 Round -4241000 to the nearest 100000. -4200000 What is 12755 rounded to the nearest 100? 12800 What is 0.000337878 rounded to six dps? 0.000338 Round 0.00000041 to seven decimal places. 0.0000004 Round 0.0000005504 to seven dps. 0.0000006 Round 0.00483 to 4 decimal places. 0.0048 Round -1856.5 to the nearest 10. -1860 Round -0.0079251 to 2 dps. -0.01 What is 134730 rounded to the nearest ten thousand? 130000 What is -0.00031876 rounded to 5 dps? -0.00032 Round 10492200 to the nearest 100000. 10500000 What is 8888000 rounded to the nearest one hundred thousand? 8900000 Round 2636160 to the nearest one hundred thousand. 2600000 What is -31.618 rounded to the nearest integer? -32 Round -5168100 to the nearest 100000. -5200000 What is 0.279133 rounded to 3 dps? 0.279 What is -0.0000050039 rounded to seven dps? -0.000005 Round -28302 to the nearest one hundred. -28300 Round 44.6 to the nearest one hundred. 0 Round 0.0096909 to five dps. 0.00969 What is 757040000 rounded to the nearest 1000000? 757000000 What is -0.017 rounded to four dps? -0.017 What is 0.0000006973 rounded to seven dps? 0.0000007 Round -0.0025969 to 5 decimal places. -0.0026 Round 26190000 to the nearest one million. 26000000 What is -492830 rounded to the nearest 100000? -500000 What is -4930 rounded to the nearest one thousand? -5000 What is -1385.36 rounded to the nearest ten? -1390 Round 1609000 to the nearest 10000. 1610000 What is 5.185 rounded to the nearest integer? 5 What is 0.010726 rounded to three decimal places? 0.011 What is -2.4832 rounded to 1 dp? -2.5 What is -103720 rounded to the nearest one thousand? -104000 What is -0.04272 rounded to three decimal places? -0.043 Round -4.3882 to two dps. -4.39 What is 0.00004746 rounded to 5 dps? 0.00005 Round -174.6 to the nearest 10. -170 What is -0.0000863 rounded to 5 dps? -0.00009 Round -0.006 to one decimal place. 0 What is -0.007925 rounded to 3 decimal places? -0.008 What is -891250 rounded to the nearest 100000? -900000 What is -0.0002801 rounded to 5 dps? -0.00028 What is 104.745 rounded to zero decimal places? 105 Round 22540000 to the nearest one million. 23000000 What is 9100000 rounded to the nearest 1000000? 9000000 What is 30600 rounded to the nearest 10000? 30000 What is -8940000 rounded to the nearest 100000? -8900000 Round 20469.9 to the nearest one thousand. 20000 What is 5.006 rounded to 0 dps? 5 Round 3500 to the nearest 1000. 4000 What is -0.0731 rounded to three dps? -0.073 What is 0.0001 rounded to 5 decimal places? 0.0001 What is 92884 rounded to the nearest 10000? 90000 What is 0.0000523 rounded to five decimal places? 0.00005 What is 93.9 rounded to 0 decimal places? 94 Round 2001000 to the nearest one million. 2000000 Round -4764000 to the nearest 100000. -4800000 Round 0.00001334 to 6 decimal places. 0.000013 What is 0.00001331 rounded to six dps? 0.000013 Round -0.0000261 to five dps. -0.00003 Round 0.769 to 1 decimal place. 0.8 What is 0.01756 rounded to 3 dps? 0.018 Round -1.1008 to 1 decimal place. -1.1 What is 22795000 rounded to the nearest one hundred thousand? 22800000 Round 55600 to the nearest 10000. 60000 Round 2686000 to the nearest one hundred thousand. 2700000 What is -235.43 rounded to the nearest 10? -240 What is -108.07 rounded to the nearest ten? -110 Round 0.00000025337 to seven dps. 0.0000003 What is -103.73 rounded to the nearest ten? -100 What is 191270000 rounded to the nearest one million? 191000000 What is -6090.3 rounded to the nearest 1000? -6000 What is -0.812 rounded to 1 decimal place? -0.8 What is 0.0004586 rounded to four decimal places? 0.0005 Round -106.21 to the nearest 10. -110 What is 7740 rounded to the nearest one thousand? 8000 Round 13499000 to the nearest 1000000. 13000000 What is -216.7 rounded to the nearest 1000? 0 Round 89510 to the nearest 10000. 90000 What is 4383900 rounded to the nearest 1000000? 4000000 Round 0.00088773 to 4 decimal places. 0.0009 What is -5190000 rounded to the nearest one hundred thousand? -5200000 What is -0.00013646 rounded to 6 dps? -0.000136 Round 133.1 to the nearest 10. 130 What is -0.00001728 rounded to six decimal places? -0.000017 What is -2613 rounded to the nearest one thousand? -3000 What is 527100 rounded to the nearest one hundred thousand? 500000 Round -15220 to the nearest ten thousand. -20000 What is 0.002063 rounded to 3 dps? 0.002 Round -0.0000002752 to 7 dps. -0.0000003 Round -0.00005134 to 5 dps. -0.00005 Round -9610 to the nearest one thousand. -10000 Round -40400 to the nearest 10000. -40000 Round 175150000 to the nearest 1000000. 175000000 What is -10414.5 rounded to the nearest one thousand? -10000 What is -0.01797 rounded to 4 decimal places? -0.018 What is 4620000 rounded to the nearest one million? 5000000 What is -1.6825 rounded to 1 dp? -1.7 What is 1393.9 rounded to the nearest one thousand? 1000 Round 57900 to the nearest ten thousand. 60000 Round -0.0000366171 to six decimal places. -0.000037 Round 0.00024448 to 6 dps. 0.000244 What is 1.0884 rounded to two dps? 1.09 What is 1001500 rounded to the nearest 100000? 1000000 What is 37.37 rounded to the nearest ten? 40 What is -144878000 rounded to the nearest 1000000? -145000000 Round -0.024754 to four decimal places. -0.0248 What is -0.0086326 rounded to four dps? -0.0086 Round -67.8 to the nearest integer. -68 What is -9541000 rounded to the nearest one million? -10000000 What is 0.000113 rounded to four decimal places? 0.0001 Round -26.279 to the nearest integer. -26 What is -79649000 rounded to the nearest 1000000? -80000000 What is 0.0050879 rounded to 5 dps? 0.00509 What is -0.062 rounded to 0 decimal places? 0 What is -570 rounded to the nearest one hundred? -600 What is 1419.4 rounded to the nearest one hundred? 1400 Round -142140 to the nearest te
{ "pile_set_name": "DM Mathematics" }
-452 + 694. Is z a multiple of 11? True Suppose -2117 = -12*i - 665. Does 29 divide i? False Let l(q) = 17*q + 7. Let t(j) = 2*j - 8. Let r(s) = s - 1. Let d(x) = 12*r(x) - 2*t(x). Let n(i) = -7*d(i) + 3*l(i). Is n(-5) a multiple of 10? False Let t(b) = -74*b - 1040. Is 7 a factor of t(-15)? True Does 20 divide ((-28)/16 - 6)*-160? True Let f(a) = -2*a**3 - 11*a**2 - 4*a + 15. Suppose 3 + 4 = -c. Is f(c) a multiple of 10? True Suppose -2*o + 3*m + 52 = 0, 0 = -5*o - m - 2*m + 109. Is 4 a factor of o? False Suppose 6*u = 5*u + 77. Let g = -17 + u. Does 5 divide g? True Suppose 4*c - 2006 = 2*w, -894 - 613 = -3*c + w. Is 56 a factor of c? True Let a be 2*(0 - -2) + 11. Let y(z) = -2*z + 15. Let q be y(8). Is (q + 3)/(3/a) a multiple of 5? True Let m be (-1)/6 - -86*3/36. Suppose 0 = -4*f - 5*h + 285, m*f - 4*f = 5*h + 205. Is 10 a factor of f? True Let p be -1 + 4 - 15/(-5). Suppose 0 = p*w - 4*w + 2. Is 22 a factor of (21*-2)/w + 2? True Suppose -3*r + 7 = 43. Let n be 0 - -3 - r/(-3). Does 7 divide 54/(4 + n) + 3? True Let x = 3 + 0. Suppose x*p = -94 - 110. Let j = p - -128. Is 12 a factor of j? True Suppose -43*x + 44*x = 279. Does 10 divide x? False Let i(p) = 3*p**2 + 6*p - 13. Let v be i(15). Suppose -1808 - v = -16*z. Is 10 a factor of z? True Let n be (-3)/(-7) + -3*(-1048)/(-84). Let l = -6 - n. Is 7 a factor of l? False Let w(h) = -1 - 2*h**2 - 12*h + 11*h**2 - 6 + 3 - h**3. Does 3 divide w(7)? False Let j(g) be the first derivative of 7*g**3/3 - g**2/2 - 2*g + 8. Is 8 a factor of j(2)? True Let s(d) = -2*d + 20. Let f be 1/8*4*0. Suppose 3*j + j + 32 = f. Does 9 divide s(j)? True Let f(z) = -8*z - 2. Let w(s) = 16*s + 5. Let o(g) = 9*f(g) + 4*w(g). Does 6 divide o(-2)? True Does 15 divide ((-31)/4 - 0)/(6/(-192))? False Let k(q) = q**2 + 15*q - 59. Is k(-27) a multiple of 22? False Does 8 divide ((-224)/(-84))/(1/(3*33))? True Let d(r) = 152*r + 25. Is 22 a factor of d(2)? False Let i = 54 + 58. Suppose -2*r - 40 = -4*x + 116, -3*x + 4*r + i = 0. Does 11 divide x? False Let a(x) = -23*x**3 - 3*x**2 + x + 1. Let c be a(1). Let l = 16 - c. Is l a multiple of 8? True Let w = 1865 + -1333. Is 14 a factor of w? True Let l be (-4)/(2 + (-36)/16). Suppose -t - l = -5*t. Suppose 0*y + 163 = 3*y - 2*i, 0 = t*y - 5*i - 208. Is 17 a factor of y? False Suppose 0 = -3*r + 2*r + 3*d + 2274, -4*d = -3*r + 6832. Suppose -h + r = -5*h. Does 5 divide h/(-45) + 4/(-6)? False Let g(i) = -i**3 + 7*i**2 + 8*i - 8. Let z = 22 + -19. Suppose z*h - 35 = -2*h. Is 12 a factor of g(h)? True Let z = 690 - 688. Let v be 2*2*1/2. Is 8 a factor of v*(-2 - -7)*z? False Let i = -83 + 80. Let a = 62 - -70. Is i - a/(0 - 4) a multiple of 15? True Let j(k) = 184*k + 202. Does 22 divide j(16)? True Let l(h) = 13*h**2 + 16*h + 1. Let p be l(-4). Let k = p + -25. Is 12 a factor of k? True Let l = -773 + 1498. Does 6 divide l? False Let z(q) = q**2 + 8*q + 9. Let v be z(-7). Is v/(-10) + (-488)/(-40) a multiple of 4? True Does 20 divide (-84 + -17)*5/(-1)? False Suppose -3*w + 371 = 5*u, 4*w - 5*u = 269 + 179. Is w a multiple of 13? True Let o(f) = f**2 + f - 12. Let d be o(6). Let r be (d/(-9))/(2/(-204)). Suppose 2*c - r = -3*g, 2*c - 5*c = 3*g - 339. Is g a multiple of 32? False Suppose 5*p - 18695 = -5*y, 3*p - 2*y + 3*y = 11225. Is 97 a factor of p? False Let t(w) = 5*w**2 + 4*w + 9. Suppose 8*b - 15 = -47. Does 12 divide t(b)? False Let r = -460 + 1026. Does 17 divide r? False Suppose 5*x = 5*w + 20, 2*w + 2*w = -5*x + 2. Let a be 0 - 0 - (-11 - w). Suppose -27 = a*t - 12*t. Is t a multiple of 9? True Let j(m) = 53*m**2 + 25*m + 123. Is j(-6) a multiple of 33? True Let a = -19 + -5. Suppose 2*p - 94 - 24 = -4*v, -5*v = p - 62. Let h = a + p. Is 11 a factor of h? True Let n(h) = -h**3 - 26*h**2 - 61*h + 96. Does 17 divide n(-24)? True Suppose -5*h = 3*j + j - 672, 516 = 4*h - 4*j. Is 27 a factor of h? False Let q(t) = -t**3 + t**2 - t - 1. Let c be q(-1). Suppose -2*w = c*w - 224. Suppose -u = u - w. Is u a multiple of 14? True Let q(v) = 33*v**3 - v**2 + 19*v - v**2 + 32*v**3 - 66*v**3. Is q(-7) a multiple of 28? True Suppose 160*z + 8 = 158*z. Does 10 divide (-18)/36 - (482/z + 0)? True Is (-9 + -2 - -220)/1 a multiple of 23? False Let y(v) = v**3 - 6*v**2 - 2*v + 5. Let r be y(7). Suppose 2*i + r = 132. Suppose -9 = j - i. Is 26 a factor of j? False Let o(m) = -m**2 - 16*m - 8. Let p(b) = 4*b + 6. Let n be p(-5). Let k = n + 4. Is o(k) a multiple of 13? True Let a = -325 - -214. Let z = 171 + a. Is z a multiple of 12? True Let v = -61 + 63. Suppose -p - v*p + 333 = 5*w, 5*w - 5*p = 325. Is w a multiple of 21? False Suppose 0 = 2*i - 5*i + 6. Suppose 5*v - i*v = -2*t + 128, -5*t - 140 = -4*v. Is v a multiple of 10? True Let o(z) = z**2 - 15*z - 29. Let l be o(21). Suppose -4*k = -3*i + l, -93 = -3*i - 0*i + 3*k. Is i a multiple of 3? True Let c = 3712 - 1164. Does 13 divide c? True Let w(c) = c + 0 - 8 - 6*c. Let f be (6/14)/(-1) - 1014/182. Is 11 a factor of w(f)? True Suppose -4*a + 2*t + 331 = a, 2*a + t = 127. Is a a multiple of 22? False Let z(v) = -v**3 + 8*v**2 + 12*v + 3. Suppose -3*k + 10*k = 63. Is 30 a factor of z(k)? True Let f(z) = 459*z - 459*z + 72*z**2. Does 12 divide f(1)? True Suppose -10 = 2*a + 2*l, 0 = a - 2*l - 3*l + 5. Suppose 0 = 5*x + 49 - 84. Is a/(-2 + x) + 79 a multiple of 29? False Suppose -9*j = 140 + 310. Suppose -3*x + 258 = -0*x. Let d = j + x. Is 21 a factor of d? False Is 83 a factor of 1005 + 9/((-72)/(-16))? False Let a(b) = 2*b**2 + 5. Is 37 a factor of a(-4)? True Let w = -14 + 7. Let o be w/(-21) - 14/(-3). Suppose -o*a = -a - 88. Is 11 a factor of a? True Let l be ((-1)/4)/(4/(-48)). Suppose i = l*c - 1 - 1, 2*i = 3*c - 4. Let n = 29 - i. Is 8 a factor of n? False Suppose -3*z = 5*z - 5040. Suppose 13*v - 7*v = z. Does 15 divide v? True Let y(r) = r**2 + 7*r + 8. Let p be y(-6). Suppose 5*b = 0, -1 - 5 = -p*h + 2*b. Is h a multiple of 3? True Let s(i) = 6*i**2 - 4*i + 3. Let j be s(1). Suppose 62 = k - 4*r, -j*r - 60 = k - 2*k. Is k a multiple of 14? True Let y(t) = 7*t**2 + 5*t + 216. Does 46 divide y(-14)? True Let r be (-1)/(-7) - (-4)/(-28). Suppose -2*j + 4 + 40 = r. Does 8 divide j? False Suppose 0 = -3*a - 288 - 783. Let b be 1/(2 + 711/a). Let c = 197 - b. Is c a multiple of 27? False Let i(v) = v**3 - 8*v**2 + 3*v + 10. Suppose 26 = 5*y + 4*a, -y - 4*a = -6 - 12. Suppose y*h - 7 = 9. Is 17 a factor of i(h)? True Suppose 4*c + 8 = -4*d, -c + d = 3*d + 4. Suppose -4*h = 2*i - 356, c = 5*h - h + i - 352. Suppose 0 = -7*s + h + 88. Does 8 divide s? False Let b = -251 + 471. Does 22 divide b? True Suppose -4649 = -11*i + 5108. Is i a multiple of 10? False Let b = -201 + 216. Is b a multiple of 15? True Let y = 1533 + -1132. Does 6 divide y? False Suppose -10 = 2*h - 0. Let o be ((-2)/h)/((-5)/275). Is (-2174)/o - (-10)/55 a multiple of 25? False Suppose -4*v = -4*o + 332, 3*v - 165 = -2*o + 4*v. Let d = 76 + o. Is 18 a factor of d? False Let r be 3 - 53*(3 + -4). Suppose f = 4*a + r, -5*a - 24 = -f + 27. Does 18 divide f? False Suppose -674 - 1114 = -3*g. Suppose a = 5*c - g, 0*c + 3*c = -5*a + 380. Does 12 divide c? True Let s(n) = -4*n**2 - 2*n + 5. Let h be s(-6). Suppose -4*k - 58 = 254. Let t = k - h. Is 16 a factor of t? False Suppose 355 = -3*d - d - o, -d - 2*o = 80. Let f = -46 - d. Is 17 a factor of f? False Let k = -57 - -58. Does 8 divide (7 - -31)/(1 + k)? False Does 46 divide ((-1)/2)/((-7)/644)? True Let r(h) = -h**2 - 9*h + 192. Is 36 a factor of r(8)? False Let u = 47 - 42. Suppose 6*k = 3*k - 2*n + 79, 0 = -u*k + 3*n + 119. Is k a multiple of 13? False Suppose -5*u - 3*d = -5*d - 276, u - d - 54 = 0. Let a = u + 4. Does 20 divide a? True Let i(j) = 12*j**2 + 3*j + 2. Suppose -17*g + 4 = -19*g. Is 11 a factor of i(g)? True Suppose -15 = -3*i - 0*i. Suppose w + 232 = 4*y, 0 = -y - 2*y + i*w + 191. Let u = y + -39. Is u a multiple of 6? True Let u be (-4 - (-21 - -4))*1. Let f(r) = 9*r - u + 1 + r. Is f(6) a multiple of 12? True Let r(c) = -11*c + 5. Let w be r(3). Suppose 123 = -2*s - 3*q, -5*q = -5*s - 259 - 36. Let z = w - s. Is z a multiple of 5? False Let c = 7 + -18. Let i = c - -15. Suppose q + i*q + 3*m = 264, -5*q + m = -252. Is q a multiple of 17? True Suppose 2*x = 4*a - 2216, -12*x = a - 16
{ "pile_set_name": "DM Mathematics" }
n - 1. Let a be d(v). What are the prime factors of 19 - (a + (-3)/(-3))? 3, 7 Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5). 3, 7 Let n(q) = q**2 + q + 6. Let s be n(13). Suppose -5*j = -4*j + 5*o - 88, -2*j = 4*o - s. List the prime factors of j. 2, 7 Let d = 35 - 26. Suppose d*m = 333 + 162. What are the prime factors of m? 5, 11 Suppose 17*c + 187704 = 83*c. List the prime factors of c. 2, 3, 79 Suppose -4*p + 2616 = 4*p. List the prime factors of p. 3, 109 Suppose -55 = -5*d + 5*c, -4*c = 3*d + 9 - 49. Let y = d - -35. Let k = y - 21. What are the prime factors of k? 2, 13 Let x be 127/5 + 9/(225/(-10)). What are the prime factors of ((-106)/5)/((-5)/x)? 2, 53 Suppose -5*s + 3582 = -l, 14*s + 2*l = 9*s + 3576. List the prime factors of s. 2, 179 Let z(l) = -2*l**2 + 15*l + 21. Let v(r) = r**2 - 8*r - 11. Let u(f) = -11*v(f) - 6*z(f). Let i = -5 + 15. List the prime factors of u(i). 3, 5 Suppose 337 - 1247 = -7*b. Suppose -b = -3*m + 3*p + 104, 2*p - 136 = -2*m. What are the prime factors of m? 73 Let t = -14 + 10. Let y be 166/8*t/(-1). Suppose -2*q + y = 17. List the prime factors of q. 3, 11 Suppose 0 = 2*h - i - 134, 5*h + 0*h - 5*i = 325. Suppose 0 = 4*y - 3*y - h. List the prime factors of y. 3, 23 Let h = 43 - 27. Suppose -4*s + h = -0*s. Let q(g) = -g**2 + 10*g + 2. List the prime factors of q(s). 2, 13 Let h = 436 - 18. What are the prime factors of h? 2, 11, 19 Let u(y) = -235*y + 688. What are the prime factors of u(-5)? 3, 23 Suppose -13*h + 10277 = 5*u - 9*h, -2*u + 4104 = 5*h. List the prime factors of u. 11, 17 Let c be 1*(-1 + 0)*-2. Let y be 1 - (c/(-1) - 2). Suppose -r = 4*s - 7, -s + y*s = -2*r + 34. List the prime factors of r. 3 Let t(j) = -4*j + 4*j - 5 + 3*j. Suppose 5*u + 30 = 5*d, -5*d + 4*u + 16 = -12. List the prime factors of t(d). 7 Let m(h) = 152*h**3 + 3*h - 3. What are the prime factors of m(1)? 2, 19 Let u(d) = 12*d**2 - 7*d + 2. Let m = 95 + -91. What are the prime factors of u(m)? 2, 83 Let z be 2*((-9)/12*2)/(-3). Suppose -3*x + 183 = 4*a, 3*x + z = 4. What are the prime factors of a? 3, 5 Let o = -1964 - -3736. List the prime factors of o. 2, 443 Suppose -11 - 9 = -5*q. Suppose -q*o + 335 = -5. List the prime factors of o. 5, 17 Suppose -5*x - 80 = -0*x. List the prime factors of x/(-20) - (-536)/5. 2, 3 Let s(f) = 318*f**3 - 2*f**2 - 3*f + 2. What are the prime factors of s(1)? 3, 5, 7 Suppose -46*t + 21852 + 53312 = 0. List the prime factors of t. 2, 19, 43 Let k(v) = v**3 + 17*v**2 - 18*v - 24. List the prime factors of k(-13). 2, 443 Let u = 156 - -74. List the prime factors of u. 2, 5, 23 Let w(h) = h**3 + 7*h**2 + 8. Let a be -1 + 1 - (-2 - -9). Let x be w(a). Suppose -32 = -y - x. What are the prime factors of y? 2, 3 Let x(t) = -5 + 0 - 13 + 5*t + 2*t. List the prime factors of x(12). 2, 3, 11 Suppose -3*i = i + 728. Let k = i + 327. List the prime factors of k. 5, 29 Let f be (6/(-8))/(2/(-160)). Suppose 3*m = -m + f. Suppose 3 + m = t. List the prime factors of t. 2, 3 Suppose -5*d = -3*o + 7187, -2393 = -250*o + 249*o + 3*d. List the prime factors of o. 2399 Suppose -5*a + 36 = -a. Let o be (-9)/(a/(-2)) - 2. Suppose -3*l + 12 - 3 = o. List the prime factors of l. 3 Suppose -v + 5*h = 64 - 512, 1792 = 4*v - 2*h. List the prime factors of v. 2, 7 Let h(f) = 2*f - 12. Let u be h(9). Let n be (0 + (-4)/(-8))*u. List the prime factors of n*(-22)/(-3) + -3. 19 Let q(z) = z + 1. Let o be q(1). Suppose 4 = -3*s + 4*s. Suppose -2*u - o*i = -u - 33, 0 = -s*u + 3*i + 88. What are the prime factors of u? 5 Let b(l) = -l**3 - 9*l**2 + 4*l - 4. Let m be -11 - 2*4/(-8). Let c be b(m). What are the prime factors of c/10*(5 + 0)? 2, 7 Suppose 0 = -20*w + 5*w + 35775. List the prime factors of w. 3, 5, 53 Let a = -165 + 365. Let d(m) = m**3 - 6*m**2 + 5*m - 6. Let r be d(5). List the prime factors of r/4 + a/16. 11 Suppose -4*n + 8 = 0, -3*r - 5*n + 1910 = r. What are the prime factors of r? 5, 19 Let d = -1504 + 2645. List the prime factors of d. 7, 163 List the prime factors of (285/6)/(-3 + (-254)/(-84)). 3, 5, 7, 19 Suppose 2712 = -8*z + 11704. What are the prime factors of z? 2, 281 Suppose 5*m = 448 + 182. Suppose 9*h + m = 12*h. What are the prime factors of h? 2, 3, 7 Let z(g) = -g**3 - 6*g**2 + 5*g - 23. List the prime factors of z(-9). 5, 7 Let b(h) = -2*h + 34. Let f be b(15). Suppose -312 = -f*g + 3*x, 7*g + 4*x = 4*g + 234. What are the prime factors of g? 2, 3, 13 Suppose 3*t + t + 31 = -3*f, 5*t + 53 = f. Let q(a) = 5*a**3 + 8 + 6*a - 4*a**3 + 4*a + 11*a**2. What are the prime factors of q(t)? 2 Suppose 35 = -w + 188. Let j be (1 + -2)*(-6)/2. Suppose -6*p = -j*p - w. List the prime factors of p. 3, 17 Let p(z) = -43 + 41 + 0*z - z + 5*z. What are the prime factors of p(2)? 2, 3 Suppose 15*m = -6*m + 1134. List the prime factors of m. 2, 3 Let u(n) = 11*n**2 + 4*n + 3. Let x be 6/(-4)*(4 + 16/(-6)). List the prime factors of u(x). 3, 13 Let s(l) = l**3 - 4*l**2 - l - 5. Let h be s(5). Let p = h + -21. Let q(v) = -5*v + 17. What are the prime factors of q(p)? 47 Suppose q = 3*v - 148, -11*v + 9*v + 2*q = -100. Suppose -2*h + v = -153. List the prime factors of h. 101 Let r(d) = 56*d**2 - d + 10. List the prime factors of r(-5). 5, 283 Let l be -448 - (-4 + (1 + -2 - -3)). What are the prime factors of (2/(-3))/2 + l/(-6)? 2, 37 Let i(r) = -158*r - 263. What are the prime factors of i(-10)? 3, 439 Suppose -3*x - c + 3754 = 0, -3*x - 21*c + 3748 = -17*c. List the prime factors of x. 2, 313 Let u be 17/(-5) + (-18)/(-45). Let b(x) be the third derivative of x**5/60 - x**4/24 + x**3/6 + x**2. List the prime factors of b(u). 13 Suppose -m = 4*j - 85, 8 = -j + 2*m + 18. List the prime factors of (-21 - (0 + -1))*j/(-4). 2, 5 Let w be (-3 + 3)/(1*(-3 + 2)). Suppose -2*d + 4*a + 128 = w, 4*d + a - 64 = 3*d. What are the prime factors of d? 2 Suppose 4*l = -7*y + 10*y + 16, 2*y - 4*l = -12. List the prime factors of 2/y*((-3 - 6) + 3). 3 Let s(c) = -c**2 - 11*c - 2. Let o be s(-4). Suppose 0 = -o*d + 22*d + 232. List the prime factors of d. 2, 29 Let v be (-7 - 7)*6/(-4). Let z be 2/6 - (-1778)/v. Suppose -4*y - 3*d = -z, -3*y - 2*d + d + 60 = 0. List the prime factors of y. 19 Let d(o) = o**2 + 3*o - 2. Suppose 5*w - 3*p = -19, 10*p - 5*p + 35 = -5*w. Let f be d(w). Suppose 0 = i + 3*i - f. What are the prime factors of i? 2 Suppose 0 = -3*d + 15, -6*a - d = -2*a - 2617. What are the prime factors of a? 653 Suppose 3*f = f - 3*n + 3885, 4*n - 12 = 0. What are the prime factors of f? 2, 3, 17, 19 Suppose g + 1 = -y - 3*g, 0 = -5*g - 20. Suppose y*i + 24 = 18*i. What are the prime factors of i? 2 Suppose o + 2*o + 2*t = 565, -562 = -3*o - 5*t. Suppose -4*d - q = -o, 2*d + 3*q - 98 = -q. List the prime factors of d. 47 Let b = 415 - 183. List the prime factors of b. 2, 29 Suppose 0 = 4*x - 9*x + 4*k + 2085, 0 = 5*x + k - 2110. List the prime factors of x. 421 Let o(c) = c + 1. Let i(b) = 148*b + 222. Let n(u) = -i(u) + 222*o(u). What are the prime factors of n(2)? 2, 37 Let f(w) = 12*w + 1. Let o be f(5). Let y = o + -107. What are the prime factors of (0 - 2/4)*y? 23 Suppose 2*s = s + 1697. Let c = 1099 - s. List the prime factors of c/(-13) - -1*1. 47 Suppose 0 = -o - 3*t + 367, 0 = 4*o - 3*o + 2*t - 365. List the prime factors of o. 19 Let y = 1617 - 1140. What are the prime factors of y? 3, 53 Let a(j) = -j**3 - 2*j**2 + 6*j + 6. Let h be a(-6). Suppose 0 = -2*n - 10, -h - 30 = -4*y - 4*n. What are the prime factors of y? 41 Let u(d) = -d - 1. Let t(g) = 3 + 0 + 4 - 5. Let i(j) = -2*t(j) - 3*u(j). What are the prime factors of i(9)? 2, 13 Suppose 8*y - 20 = 3*y. Suppose -y*x = -x - 27. Let n = x - 5. What are the prime factors of n? 2 Let y = -2656 - -3834. List the prime factors of y. 2, 19, 31 Let c = 17 + -14. Let d = -1 + c. What are the prime factors of 4/(0 - d/(-17))? 2, 17 Let k(d) = -d - 5. Let m be k(-3). Let r be (m/5)/((-7)/35). Suppose r*b - 112 = -3*p, 9 = 4*b - 11. What are the prime factors of p? 2, 17 Let l(b) = -414*b + 31. Let a(k) = 83*k - 6. Let f(n) = -11*a(n) - 2*l(n). List the prime factors of f(-3). 7, 37 Suppose -3*s - 91 = 2. Let w = s - -13. Let h = w + 25. List the prime factors of h. 7 Let w(v
{ "pile_set_name": "DM Mathematics" }
7*x(q). 6464*q**3 Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u). -35*u**3 + 5 Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v). 14*v**2 Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c) = -5. Determine -5*f(w) - 4*m(w). -4*w + 1 Let j(u) = 5*u**2 - 10*u - 5. Let b(m) = 26*m**2 - 52*m - 24. Calculate 3*b(x) - 16*j(x). -2*x**2 + 4*x + 8 Let x(b) = -1412*b**3 + 3*b**2 - 4*b + 15. Let g(w) = -w**3 + w**2 - w + 3. Calculate 5*g(c) - x(c). 1407*c**3 + 2*c**2 - c Let v(z) = 19*z + 11. Let q(a) = -47*a - 10. Determine -6*q(l) - 7*v(l). 149*l - 17 Let l(h) = 34*h + 6434. Let q(u) = 10*u + 2144. What is -3*l(p) + 10*q(p)? -2*p + 2138 Let p(n) = -n**2 - n - 1. Let v(a) = 1 - 2 + 3*a - 4*a - 359*a**2 + 355*a**2. What is 3*p(z) - v(z)? z**2 - 2*z - 2 Let h(a) = 4*a**2 - 2*a. Let j(l) = -5*l**2 + 10*l. Let q(x) = 3*x**2 - 13*x. Let d(p) = -3*j(p) - 2*q(p). What is -6*d(n) + 11*h(n)? -10*n**2 + 2*n Let z(r) be the second derivative of -r**4/12 - r**2/2 - 89*r + 2. Let l(n) = 8*n**2 + 3. What is l(y) + 2*z(y)? 6*y**2 + 1 Let n(i) = -5*i**3 + 14*i**2 - 45*i - 43. Let d(q) = -4*q**3 + 12*q**2 - 38*q - 44. Determine -6*d(y) + 5*n(y). -y**3 - 2*y**2 + 3*y + 49 Let c(y) = 6*y**2 + 5*y + 3. Let q(t) = -5*t - 1. Let z(v) = -6*v**2 + 34*v + 4. Let u(b) = 8*q(b) + z(b). Calculate -3*c(n) - 2*u(n). -6*n**2 - 3*n - 1 Suppose 3*i - 113 + 35 = 0. Suppose -12*l = -38*l - i. Let d(k) = -k**3 - 1. Let m(v) = -6*v**3 - v - 2. Determine l*m(p) + 5*d(p). p**3 + p - 3 Let l(h) = h**2 + 6*h - 10. Let z = 39 + -36. Let k be (z/2 + 0)/((-2)/(-4)). Let o(f) = f - 2*f + 417 - 420 + k*f. Give 2*l(y) - 7*o(y). 2*y**2 - 2*y + 1 Let x(o) = -8*o - 12. Suppose 0 = -131*w - 157*w - 36*w - 7128. Let z(m) = 1. Let k(y) = y. Let f(s) = -k(s) - z(s). What is w*f(v) + 2*x(v)? 6*v - 2 Let v(y) = 31*y - 4. Let z(t) = 32*t - 5. Let g = 13057 - 13052. Determine g*z(c) - 6*v(c). -26*c - 1 Suppose -2*m = 2*d - 6, -2*d - 4*m - 17 + 31 = 0. Let j(c) = 329*c**3 + 282*c**2 + 282*c - 282. Let h(v) = -v**3 - v**2 - v + 1. Give d*j(w) - 282*h(w). -47*w**3 Let f(z) = -8*z**2 + 4883*z - 21. Let v(p) = -10*p**2 + 4883*p - 25. Calculate 6*f(w) - 5*v(w). 2*w**2 + 4883*w - 1 Suppose 182*w = 12*w - 1020. Let p(t) = -2*t**2 - 4*t - 6. Let l(n) = -4*n**2 - 7*n - 11. Calculate w*l(m) + 11*p(m). 2*m**2 - 2*m Suppose 0 = 44*n + 8*n - 572. Let r(s) = 10*s**2 - 4 + 3*s**2 + n*s + 15. Let k(g) = g**2 + g + 1. Determine 22*k(u) - 2*r(u). -4*u**2 Let z(l) = -13*l + 11576. Let o(i) = 4*i - 3830. Determine -10*o(u) - 3*z(u). -u + 3572 Let x(h) = 340*h + 110. Let s(u) = -244*u - 73. Calculate -7*s(j) - 5*x(j). 8*j - 39 Let l(k) = -2*k + 11. Suppose 4*i - 4*d = -9*d + 20, -4 = -3*i - d. Suppose i = 89*j - 95*j - 78. Let s = 18 - 24. Let p(n) = n - 5. Give j*p(m) + s*l(m). -m - 1 Let o(a) = 7*a**2 + a + 6. Let k(s) be the second derivative of 2*s**4/3 + s**3/3 + 7*s**2/2 + 1764*s. What is 3*k(w) - 4*o(w)? -4*w**2 + 2*w - 3 Let g(h) = -34*h + 241. Let n(l) = 23*l - 164. What is 7*g(y) + 11*n(y)? 15*y - 117 Let y(h) = 7031*h**2 + 4*h - 1. Let k(l) = -2009*l**2 - l. Calculate -18*k(q) - 5*y(q). 1007*q**2 - 2*q + 5 Suppose 13*z + 6*z + 38*z = 171. Let f(u) = -u**3 - u - 4. Let r(v) = -2*v**3 - 4. Let q(i) = -i**3 + i + 1. Let d(b) = q(b) - r(b). Determine z*f(l) + 2*d(l). -l**3 - l - 2 Let t(g) = -g. Let u(o) be the first derivative of o**3 + o**2 + 729. What is 3*t(h) + u(h)? 3*h**2 - h Let b(l) = -69 + 31*l - 33*l + 73. Let g(d) = d - 5. Let t be -1*4 - (4 - 4). Determine t*g(n) - 5*b(n). 6*n Let i(t) = 778 + 780 - 1558 - 31*t**2 + 3*t. Let o(s) = 1022*s**2 - 98*s. What is 98*i(z) + 3*o(z)? 28*z**2 Let p(a) = a**3 + 2*a - 4. Let c(b) = 566*b**3 + 4*b**2 - 7*b + 16. Calculate -c(n) - 4*p(n). -570*n**3 - 4*n**2 - n Let j(z) = 13*z**3 + 2*z**2 + 13*z - 2. Let v(i) = 54*i**3 + 8*i**2 + 50*i - 8. Give 9*j(k) - 2*v(k). 9*k**3 + 2*k**2 + 17*k - 2 Let u(a) = -a**3 - 3*a**2 + 234*a - 6. Let m(o) = -o**2 - o - 2. Determine -3*m(b) + u(b). -b**3 + 237*b Let o(b) = -4*b**2 + 17*b + 11. Let t = 11 - 22. Let c(x) = -x**2 + 6*x + 4. Let g = 2920 + -2916. Determine g*o(d) + t*c(d). -5*d**2 + 2*d Let a(s) be the third derivative of 7*s**4/12 - 5*s**3/6 + 9*s**2 + 287. Let o(u) = -14*u + 4. Determine -5*a(y) - 6*o(y). 14*y + 1 Let k(o) = 3*o - 2*o - 4*o**2 + 6*o. Let n(s) be the first derivative of 2*s**3 + 2*s**2 + 3*s + 57. Let d be n(-1). Let w(u) = -u**2 + u. Give d*w(r) - k(r). -r**2 - 2*r Let n(p) = 430*p**3 - 11*p**2 + 3*p. Let l(r) = 86*r**3 - 2*r**2 + r. Determine 11*l(o) - 2*n(o). 86*o**3 + 5*o Let x(g) = -21 + 44 - 13522*g + 13542*g + 72 - 5. Let k(m) = -1. Calculate 180*k(d) + 2*x(d). 40*d Let q(c) = 15*c**3 - c**2 - 8*c + 3. Let u(v) = 2*v**3 - v**2 - v + 1. Let z(a) = q(a) - 3*u(a). Let g(k) = -k**3 - k**2 + k. Calculate -2*g(o) - z(o). -7*o**3 + 3*o Let s(a) = a**3 + 1. Let w(b) = 2*b**3 - 3 - 3*b**3 + 1. Let r = -21400 - -21405. Let z be 5/(2/(-8)*-2). What is r*w(j) + z*s(j)? 5*j**3 Let o(l) = 20*l**2 - 3*l + 8362. Let p(w) = 6*w**2 - w - 4. Determine -o(u) + 3*p(u). -2*u**2 - 8374 Let q be (0 - -1) + -11 + 13. Let p(n) = -3*n + 3*n - n - q + 2*n**2. Let a(s) = s**2 - 1. Let d = 2452 - 2450. Calculate d*p(t) - 5*a(t). -t**2 - 2*t - 1 Let v = -263 - -382. Suppose -15*d - v + 29 = 0. Let i(j) = -12*j**3 - 5*j**2 - 5*j - 5. Let p(y) = -6*y**3 - 3*y**2 - 3*y - 3. What is d*i(b) + 10*p(b)? 12*b**3 Let s(o) = -3*o + 1. Let g(b) be the third derivative of b**5/60 + b**4/4 - b**3/2 + 4*b**2 + 214*b - 1. What is -4*g(u) - 9*s(u)? -4*u**2 + 3*u + 3 Let o(s) = -69*s**3 - 4*s + 5. Let i(q) = 17*q**3 + q - 1. Suppose 3*t = -14*t - 34. Calculate t*o(k) - 9*i(k). -15*k**3 - k - 1 Let s(j) = -7*j + 1. Let r(n) = -6*n. Let o(t) = -3*r(t) + 2*s(t). Let q(d) be the first derivative of -5*d**2/2 - d + 4783. Determine 3*o(b) + 2*q(b). 2*b + 4 Let m = 9946 - 9947. Let w(v) = -v + 1. Let p(k) = -2*k**2 + 0*k**2 - 10*k + 0*k**2 + 8. What is m*p(a) + 8*w(a)? 2*a**2 + 2*a Let r(p) be the first derivative of 3*p**2 + 2*p + 5466. Let s(c) = 3*c + 1. Let t(v) = v**2 + 6*v - 13. Let m be t(-8). Give m*r(u) - 5*s(u). 3*u + 1 Let q(d) = 102016*d**3 + 88*d**2 - 88*d - 44. Let z(r) = 6801*r**3 + 6*r**2 - 6*r - 3. Calculate -6*q(v) + 88*z(v). -13608*v**3 Let x(z) be the second derivative of z**5/2 + z**4/12 - 2*z**3/3 + 5*z**2/2 - 3339*z. Let g(u) = -5*u**3 - u**2 + 2*u - 2. Calculate -5*g(r) - 2*x(r). 5*r**3 + 3*r**2 - 2*r Let p(x) = -13*x**3 - 23*x**2 + 19*x - 9. Let q(r) = 11*r**3 + 21*r**2 - 17*r + 7. What is 4*p(s) + 5*q(s)? 3*s**3 + 13*s**2 - 9*s - 1 Let f(b) = -18847*b**3 - 6*b**2 - 24*b - 6. Let j(o) = 3*o**3 + o**2 + 4*o + 1. Calculate f(a) + 6*j(a). -18829*a**3 Let v(c) = 3*c**3 + 5*c**2 - 39*c - 57. Let x(d) = -4*d**3 - 7*d**2 + 55*d + 86. Determine 7*v(p) + 5*x(p). p**3 + 2*p + 31 Let o(x) = -3*x**2 + 7*x + 1. Let k = 6706 + -6707. Let r(q) = q. What is k*o(v) + 6*r(v)? 3*v**2 - v - 1 Let i(w) = -w**3 + 9*w**2 - 3*w - 3492. Let g(d) = -6*d**2 + 2*d + 3491. What is 3*g(b) + 2*i(b)? -2*b**3 + 3489 Let k(q) = -1 - q**2 - 1 - 3*q**2. Let h(t) = -46 + 46 - t**2. Let i be -12 - -20 - 1 - 8/1. What is i*k(z) + 3*h(z)? z**2 + 2 Let t(s) be the second derivative of -s**4/4 - s**3 - 5*s**2/2 - s. Suppose 0 = -289*q + 258*q + 155. Let k(r) = 2*r**2 + 4*r + 3. Calculate q*t(a) + 8*k(a). a**2 + 2*a - 1 Let g(o) = o - 1. Suppose 3*n - 98 = -3*s + n, -5*s + 159 = -n. Let q(v) = -s*v + 10 + 8*v**2 + 35 - 13. Determine 32*g(u) + q(u). 8*u**2 Let h = -27 + -73. Let n be 6/((-4)/(h/15)). Let z(d) = -12*d + 2. Let r(u) = 6*u + 3*u - 8*u. What is n*r(m) + z(m)? -2*m + 2 Let x(v) = 10*v**2 + 0*v - 5*v**2 - 6*v**2 - 2*v + 1 + 3*v. Let l(h) = -h**3 - 5*h**2 + 3*h + 8. Suppose -9*b + 16 = -11. Determine b*x(r) - l(r). r**3 + 2*r**2 - 5 Suppose -2*i = -67 + 73, 0 = 4*j - i + 33. Let o(y) = -13*y**2 + 2*y - 4. Let b(p) = -27*p**2 + 5*p - 9. Determine j*o(w) + 4*b(w). 9*w**2 + 2*w Let j(l) = -1508*l - 270. Let y(n) = 302*n + 57. Determine -3*j(v) - 14*y(v). 296*v + 12 Let t(k) = k. Let r(l) = -7*l - 2. Suppose 258 = 64*o + 2. What is o*t(u) + r(u)? -3*u - 2 Let u(b) = -4*b**2 - 6*b + 372. Let w(k) = -2*k**2 - 3*k + 185. Calculate 5*u(t) - 11*w(
{ "pile_set_name": "DM Mathematics" }
- 3 What is the q'th term of -1062, -1070, -1082, -1098, -1118, -1142, -1170? -2*q**2 - 2*q - 1058 What is the k'th term of -11602, -11636, -11672, -11710, -11750, -11792? -k**2 - 31*k - 11570 What is the d'th term of -16569, -33195, -49873, -66603, -83385, -100219? -26*d**2 - 16548*d + 5 What is the a'th term of 6832, 13659, 20476, 27283, 34080, 40867, 47644? -5*a**2 + 6842*a - 5 What is the l'th term of 12817, 25630, 38443, 51256, 64069, 76882? 12813*l + 4 What is the d'th term of 108583, 108581, 108577, 108571, 108563, 108553, 108541? -d**2 + d + 108583 What is the p'th term of 87061, 87333, 87615, 87913, 88233? p**3 - p**2 + 268*p + 86793 What is the c'th term of 33160, 33152, 33128, 33082, 33008, 32900, 32752? -c**3 - 2*c**2 + 5*c + 33158 What is the w'th term of -287246, -1148962, -2585156, -4595828? -287239*w**2 + w - 8 What is the g'th term of 63, 134, 217, 312, 419? 6*g**2 + 53*g + 4 What is the p'th term of -44, -38, -12, 46, 148, 306, 532? 2*p**3 - 2*p**2 - 2*p - 42 What is the d'th term of 3028, 12215, 27526, 48961, 76520? 3062*d**2 + d - 35 What is the q'th term of 100, -289, -928, -1811, -2932, -4285, -5864? q**3 - 131*q**2 - 3*q + 233 What is the p'th term of 185, 342, 563, 854, 1221? p**3 + 26*p**2 + 72*p + 86 What is the m'th term of -6113, -12215, -18317, -24419, -30521? -6102*m - 11 What is the o'th term of 35095, 70176, 105253, 140326? -2*o**2 + 35087*o + 10 What is the f'th term of 321291, 642580, 963869? 321289*f + 2 What is the g'th term of 1687, 3596, 6783, 11254, 17015, 24072, 32431? g**3 + 633*g**2 + 3*g + 1050 What is the h'th term of -753, -1032, -1359, -1758, -2253, -2868? -4*h**3 - 251*h - 498 What is the w'th term of -944, -1905, -2868, -3833, -4800, -5769, -6740? -w**2 - 958*w + 15 What is the k'th term of -821, -978, -1135, -1292? -157*k - 664 What is the u'th term of -74, -431, -1386, -3239, -6290, -10839? -50*u**3 + u**2 - 10*u - 15 What is the u'th term of 1919, 3814, 5709, 7604, 9499, 11394? 1895*u + 24 What is the s'th term of -501743, -501739, -501733, -501725? s**2 + s - 501745 What is the u'th term of 15099903, 15099902, 15099901, 15099900, 15099899, 15099898? -u + 15099904 What is the c'th term of 64141, 64106, 64071, 64036? -35*c + 64176 What is the l'th term of 103116, 103115, 103114, 103113, 103112, 103111? -l + 103117 What is the g'th term of 7169, 14335, 21499, 28661, 35821? -g**2 + 7169*g + 1 What is the n'th term of -5192, -10305, -15420, -20537, -25656, -30777? -n**2 - 5110*n - 81 What is the x'th term of 347, 734, 1263, 1940, 2771, 3762, 4919, 6248? x**3 + 65*x**2 + 185*x + 96 What is the i'th term of -161, -772, -1831, -3338, -5293, -7696? -224*i**2 + 61*i + 2 What is the d'th term of 8358, 8417, 8476? 59*d + 8299 What is the c'th term of 13750, 13756, 13772, 13804, 13858, 13940, 14056, 14212? c**3 - c**2 + 2*c + 13748 What is the x'th term of -23, 124, 495, 1192, 2317? 17*x**3 + 10*x**2 - 2*x - 48 What is the i'th term of -2806, -5736, -8666, -11596, -14526? -2930*i + 124 What is the f'th term of 63291, 126580, 189869, 253158, 316447? 63289*f + 2 What is the u'th term of 161, 105, -81, -463, -1107, -2079, -3445, -5271? -11*u**3 + u**2 + 18*u + 153 What is the s'th term of 6463, 25817, 58073, 103231, 161291? 6451*s**2 + s + 11 What is the q'th term of -2681, -10675, -23975, -42581, -66493, -95711? -2653*q**2 - 35*q + 7 What is the b'th term of 2615830, 2615831, 2615832, 2615833, 2615834? b + 2615829 What is the m'th term of 31072, 31088, 31116, 31156, 31208, 31272? 6*m**2 - 2*m + 31068 What is the c'th term of 67414, 67423, 67436, 67453, 67474, 67499, 67528? 2*c**2 + 3*c + 67409 What is the l'th term of -65850, -131697, -197544, -263391, -329238, -395085? -65847*l - 3 What is the a'th term of 490, 1872, 4164, 7372, 11502, 16560? a**3 + 449*a**2 + 28*a + 12 What is the c'th term of -66, -9, 86, 219, 390, 599? 19*c**2 - 85 What is the v'th term of 1495, 2986, 4477, 5968, 7459, 8950? 1491*v + 4 What is the m'th term of -163061, -326118, -489175? -163057*m - 4 What is the z'th term of 490, 784, 1078, 1372, 1666, 1960? 294*z + 196 What is the w'th term of 1651, 6923, 15813, 28321, 44447? 1809*w**2 - 155*w - 3 What is the a'th term of 443605, 443609, 443613, 443617? 4*a + 443601 What is the j'th term of -234, -473, -712, -951, -1190, -1429? -239*j + 5 What is the s'th term of 77, 248, 517, 890, 1373? s**3 + 43*s**2 + 35*s - 2 What is the g'th term of -10610347, -10610343, -10610337, -10610329, -10610319? g**2 + g - 10610349 What is the f'th term of 1003, 936, 825, 670, 471? -22*f**2 - f + 1026 What is the a'th term of 4852, 9536, 14210, 18868, 23504, 28112, 32686, 37220? -a**3 + a**2 + 4688*a + 164 What is the l'th term of -1886, -7634, -17222, -30656, -47942? -l**3 - 1914*l**2 + l + 28 What is the u'th term of 27, 299, 1059, 2553, 5027, 8727? 41*u**3 - 2*u**2 - 9*u - 3 What is the s'th term of -103, -452, -1051, -1900, -2999, -4348, -5947? -125*s**2 + 26*s - 4 What is the m'th term of 123, 228, 333, 438, 543, 648? 105*m + 18 What is the r'th term of 76714, 76711, 76708, 76705, 76702, 76699? -3*r + 76717 What is the p'th term of 104, 161, 256, 389, 560, 769? 19*p**2 + 85 What is the x'th term of 1514, 4799, 8084, 11369, 14654, 17939? 3285*x - 1771 What is the i'th term of -60, -243, -776, -1845, -3636? -31*i**3 + 11*i**2 + i - 41 What is the h'th term of 80, 204, 370, 578, 828, 1120, 1454? 21*h**2 + 61*h - 2 What is the v'th term of 5731, 5879, 6027, 6175? 148*v + 5583 What is the q'th term of 31773, 31785, 31797, 31809, 31821? 12*q + 31761 What is the s'th term of 418, 346, 272, 196, 118? -s**2 - 69*s + 488 What is the x'th term of -81, -83, -79, -69? 3*x**2 - 11*x - 73 What is the h'th term of -286089, -572180, -858271, -1144362? -286091*h + 2 What is the q'th term of -1157, -2333, -3509, -4685, -5861, -7037? -1176*q + 19 What is the j'th term of 172, 1551, 5294, 12583, 24600, 42527, 67546? 197*j**3 - 25 What is the t'th term of 45109, 45111, 45113, 45115, 45117? 2*t + 45107 What is the n'th term of 183814, 367629, 551432, 735217, 918978? -n**3 + 183822*n - 7 What is the c'th term of 58, 117, 194, 295, 426? c**3 + 3*c**2 + 43*c + 11 What is the n'th term of 444, 410, 350, 258, 128, -46, -270, -550? -n**3 - 7*n**2 - 6*n + 458 What is the h'th term of 262, 511, 750, 979, 1198, 1407? -5*h**2 + 264*h + 3 What is the z'th term of -373, -527, -681, -835? -154*z - 219 What is the w'th term of 79257, 79241, 79225, 79209, 79193? -16*w + 79273 What is the t'th term of -144028, -288036, -432030, -576004, -719952, -863868, -1007746, -1151580? t**3 + t**2 - 144018*t - 12 What is the m'th term of 3230, 6436, 9640, 12842? -m**2 + 3209*m + 22 What is the c'th term of 664, 1486, 2310, 3136, 3964, 4794, 5626? c**2 + 819*c - 156 What is the o'th term of 30984, 30981, 30978, 30975? -3*o + 30987 What is the n'th term of 974, 1060, 1136, 1196, 1234, 1244? -n**3 + n**2 + 90*n + 884 What is the u'th term of 11787, 23574, 35363, 47154, 58947? u**2 + 11784*u + 2 What is the l'th term of -430786, -861571, -1292356, -1723141? -430785*l - 1 What is the r'th term of 100, 849, 2100, 3853, 6108, 8865, 12124? 251*r**2 - 4*r - 147 What is the u'th term of -1765, -3552, -5377, -7258, -9213? -3*u**3 - u**2 - 1763*u + 2 What is the k'th term of 132, 1231, 4250, 10155, 19912, 34487, 54846? 161*k**3 - 6*k**2 - 10*k - 13 What is the t'th term of 1050980, 1050978, 1050976, 1050974, 1050972, 1050970? -2*t + 1050982 What is the n'th term of 7836, 15650, 23446, 31218, 38960? -n**3 - 3*n**2 + 7830*n + 10 What is the d'th term of 4457, 17647, 39617, 70361, 109873? -d**3 + 4396*d**2 + 9*d + 53 What is the z'th term of 366, 1493, 3414, 6165, 9782? 6*z**3 + 361*z**2 + 2*z - 3 What is the q'th term of 83, 315, 761, 1469, 2487, 3863, 5645? 8*q**3 + 59*q**2 - q + 17 What is the h'th term of 2499, 2569, 2639? 70*h + 2429 What is the z'th term of 125741, 125754, 125791, 125864, 125985? 2*z**3 - z + 125740 What is the w'th term of 1834, 1826, 1796, 1732, 1622? -2*w**3 + w**2 + 3*w + 1832 What is the z'th term of 45, 157, 269, 381? 112*z - 67 What is the b'th term of -2237, -2248, -2271, -2306? -6*b**2 + 7*b - 2238 What is the y'th term of 383, 529, 677, 827, 979? y**2 + 143*y + 239 What is the n'th term of -2346, -9354, -21034, -37386? -2336*n**
{ "pile_set_name": "DM Mathematics" }
Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y. -24*y Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o? 1200*o**3 What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d? 123*d**2 Let a(z) = -z + 1. Let n be a(-4). Suppose 0 = 2*i - 4*o - 20, 0*o + 14 = -3*i - n*o. What is the third derivative of -i*l**2 + 5*l + l**3 - 5*l wrt l? 6 Let k(g) be the third derivative of -7*g**6/20 + g**5/30 + 11*g**4/24 - 10*g**2. What is the third derivative of k(z) wrt z? -252 Let o(h) = h**2 + h + 3. Suppose 0*c = -c. Let g be o(c). What is the third derivative of -w**3 - w**2 + 0*w**2 + 3*w**g wrt w? 12 Let k be 3 + (1 + -4 - -2). Let m(o) = -6*o**2 + 2*o + 1. Let r(s) = -s**2 + s. Let t(v) = k*r(v) - m(v). Differentiate t(f) wrt f. 8*f Suppose -2*j = t + 8, -4*t + 2 - 1 = -3*j. Let a = 4 + t. Differentiate 4*q**2 - 2 - 5*q**a + 3 wrt q. -2*q Let m(x) = -13*x**6 + 4*x**5 + 4*x**3 + 16*x**2 - 4. Let c(r) = -r**6 - r**5 - r**3 + 1. Let s(v) = 4*c(v) + m(v). What is the third derivative of s(u) wrt u? -2040*u**3 Let t(n) be the third derivative of 0*n - 1/8*n**4 + 7/60*n**5 + 0 - n**2 + 0*n**3. What is the second derivative of t(j) wrt j? 14 Let m(k) be the first derivative of -k**6/2 - 11*k**2/2 + 10. Find the second derivative of m(h) wrt h. -60*h**3 Find the third derivative of -14*t**2 - 21*t**6 + 42*t**6 - 82*t**6 - 32*t**2 wrt t. -7320*t**3 Let t(n) be the second derivative of -9*n**8/56 + n**4/6 + 16*n. What is the third derivative of t(l) wrt l? -1080*l**3 Let y(t) be the third derivative of -t**9/2160 + t**5/40 - t**4/12 - 2*t**2. Let a(k) be the second derivative of y(k). Differentiate a(n) wrt n. -28*n**3 Let a(y) = y - 1. Let w be a(5). Let c = 6 - w. What is the derivative of 3 - c*x + 0 + 1 + 0 wrt x? -2 Let m(y) be the third derivative of -11*y**5/30 - 43*y**4/24 - 12*y**2. What is the second derivative of m(h) wrt h? -44 Let m(k) be the second derivative of 0*k**4 + 1/2*k**3 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 - 3*k + 0. What is the second derivative of m(x) wrt x? -20*x**3 Let b(h) be the second derivative of h**3/2 - h**2 - 2*h. Differentiate b(u) wrt u. 3 Suppose -2*m = 2*t + 12, 0*m = 2*t - 3*m - 8. Let q = t - -3. Find the first derivative of 4 - 4 - q + w**2 wrt w. 2*w Let f(a) be the first derivative of 0*a + 5 - 8/5*a**5 - a**2 + 0*a**3 + 0*a**4. What is the second derivative of f(r) wrt r? -96*r**2 Suppose i = 3*i - 6. Find the second derivative of 6*a + 3*a**2 - 5*a + i*a wrt a. 6 Find the second derivative of -11*c**2 - 15*c - 25 - 5*c**2 + 25 wrt c. -32 Suppose -4 = 2*w - 6. Let h be 3 - 0*(-2)/4. Find the third derivative of 1 - w - h*a**2 + a**6 wrt a. 120*a**3 Let u(n) be the first derivative of -5*n**2/2 + 7*n + 8. Find the first derivative of u(h) wrt h. -5 Let a(z) = -4*z**4 + 3*z**3 - 3*z**2 - 3. Let u(p) = p**3 - 1. Let s(t) = -a(t) + 3*u(t). What is the third derivative of s(v) wrt v? 96*v Let o(y) be the second derivative of y**7/6 + 5*y**3/2 + 15*y. Find the second derivative of o(c) wrt c. 140*c**3 Suppose -5*x - 1 + 11 = 0. What is the first derivative of y**4 - y**4 + 5 - x - 2*y**4 wrt y? -8*y**3 What is the derivative of -27*u**2 - 23*u**2 + 34*u**2 - 4 wrt u? -32*u Let o(u) = 10 + 3 - 2*u + 3*u. Let z be o(-10). What is the third derivative of -2*w**4 + w**2 - 4*w**z + 4*w**3 wrt w? -48*w Suppose 2*f = f + 2. Let r be f*6/8*2. Find the second derivative of -r*l + l + l**2 + l**2 - l wrt l. 4 Let y(x) be the third derivative of 2*x**7/21 - 7*x**5/15 - x**2 + 12*x. What is the third derivative of y(f) wrt f? 480*f What is the second derivative of -7*t**5 - 867 - 6*t + 867 wrt t? -140*t**3 Let j = -5 - -10. Suppose n + 0*n = j. What is the second derivative of 3*m**5 - 3*m**5 - m - 4*m**n wrt m? -80*m**3 Let c(g) be the second derivative of g**8/840 + g**6/180 - g**3/3 - 2*g. Let a(i) be the second derivative of c(i). Find the third derivative of a(j) wrt j. 48*j Let r(y) be the first derivative of -4 + 0*y**6 + 0*y + 0*y**5 + 4/7*y**7 + 0*y**2 + 1/3*y**3 + 0*y**4. Find the third derivative of r(j) wrt j. 480*j**3 Let y(i) be the first derivative of 3 + 4*i**2 - 4*i - i**2 + 2*i - 2*i**2. What is the derivative of y(c) wrt c? 2 Suppose 0 = 2*m + 5*n + 19, 0*m - 5*n - 10 = 5*m. Let a = -4 - -8. Find the first derivative of 2 + m*l - a - l wrt l. 2 Let p = -4 - -6. Find the third derivative of o**5 + 0*o**5 - 5*o**p + 2*o**2 wrt o. 60*o**2 Let v(w) be the third derivative of 7*w**6/120 - w**4/24 + w**2. Find the second derivative of v(d) wrt d. 42*d Let i(h) = -h - 1. Let b(o) be the second derivative of -3*o**3/2 - 15*o**2/2 + o. Let s = -16 - -15. Let y(p) = s*b(p) + 12*i(p). Differentiate y(l) wrt l. -3 What is the third derivative of -9*y**2 + 27*y**3 + y**2 - 21*y**3 wrt y? 36 Let k(d) = -d**3 + 10*d**2 - 2*d + 12. Let m be k(10). Let b be 3/(-2)*m/6. Find the third derivative of -5*x**2 + 3*x**4 + x**2 + x**b wrt x. 72*x Let m(t) = 6*t**3 + 7*t**2 + 7*t + 9. Let f(d) = -5*d**3 - 6*d**2 - 6*d - 8. Let i = -5 - -11. Let z(s) = i*m(s) + 7*f(s). Differentiate z(g) wrt g. 3*g**2 Let g(n) be the first derivative of -n**4/6 - n**3/3 + 2*n + 2. Let v(m) be the first derivative of g(m). Find the second derivative of v(d) wrt d. -4 Let y(u) = -u**3 + 5*u**2 + 5*u + 8. Let l(q) = q**3 - 4*q**2 - 4*q - 7. Let n(m) = -5*l(m) - 4*y(m). What is the first derivative of n(v) wrt v? -3*v**2 Let r be 14/(-10) - 10/(-25). Let j(m) = -3*m + 1. Let c be j(r). Differentiate 4*n**c + n**3 + 2 - n**3 wrt n. 16*n**3 Let o(u) be the first derivative of -u**8/840 + 5*u**4/24 - 5*u**3/3 + 1. Let b(h) be the third derivative of o(h). Find the first derivative of b(f) wrt f. -8*f**3 Suppose -4*p + 27 = 3*h, 40 = 5*h - 2*p + 7*p. Suppose -h*z - 25 = -5*v, 0*v + 5 = v + 5*z. What is the first derivative of -3 + v - 2*y**2 + y**2 wrt y? -2*y Let k(p) be the second derivative of 7*p**4/4 + 53*p**2/2 + 4*p - 10. Differentiate k(o) wrt o. 42*o Let i(v) = v**3 - v**2 + v. Let f be i(1). Find the first derivative of -f + 2*t**4 + 0 - 5*t**4 wrt t. -12*t**3 Let z(a) = 16*a**5 + 5*a**3 - 9*a**2 - 5. Let t(w) = 24*w**5 + 8*w**3 - 13*w**2 - 8. Let m(h) = -5*t(h) + 8*z(h). Find the third derivative of m(o) wrt o. 480*o**2 Let b(r) = 15*r - 2. Let m be b(3). Find the third derivative of 5*g**5 + m*g**2 - g**4 + g**4 - 45*g**2 wrt g. 300*g**2 Let i = 1 - -11. Let p = 20 - i. What is the third derivative of -2*n**6 - p*n + 8*n - n**2 wrt n? -240*n**3 Let y(v) be the third derivative of -5*v**8/112 + v**5/30 - 2*v**2. Find the third derivative of y(x) wrt x. -900*x**2 Let i(n) = 2*n - 3. Let h = -7 + 10. Let q be i(h). What is the third derivative of 0*d**3 + 4*d**2 + d**q + d**3 - d**3 wrt d? 6 Let p(t) be the first derivative of 4 + 5/2*t**2 + 7*t. Find the first derivative of p(x) wrt x. 5 What is the first derivative of -2*s**2 + 0*s**2 + 4 + s**2 wrt s? -2*s Find the second derivative of -1 + 0 - 12*n + 1 - 15*n**4 wrt n. -180*n**2 Find the third derivative of -5*y**5 - y**2 + 0*y + 5*y - 5*y wrt y. -300*y**2 Let m = 3 - 0. Suppose 0 = 4*w - v - 10, -2*v + 7 + 6 = m*w. Find the second derivative of w*c + c**3 + c**3 - 2*c wrt c. 12*c Let m = -3 + 5. Find the third derivative of -3*g**2 + 0 + 2*g**m + 0 + 3*g**3 wrt g. 18 Let v(o) be the third derivative of -o**4/2 + 5*o**3/3 - 11*o**2. Differentiate v(m) with respect to m. -12 Let o(a) be the first derivative of a**7/420 - a**4/12 - a**3 - 1. Let q(i) be the third derivative of o(i). Find the first derivative of q(d) wrt d. 6*d**2 Let k(t) be the first derivative of 13*t**4/4 - 26*t + 29. What is the first derivative of k(m) wrt m? 39*m**2 Suppose 2*r - 6 = -6*j + 2*j, 3*r = -j - 1. Let s(x) be the first derivative of -j + x**2 - 1/3*x**3 + 0*x. What is the second derivative of s(h) wrt h? -2 What is the first derivative of 0*v + v + 1 - v + 2*v**3 wrt v? 6*v**2 Let z(b) = -b**4 - 5*b**3 + 5*b + 4. Let h(m) = -3 + m**3 + 0*m**3 + 2 + 5*m - 6*m. Let v(p) = 5*h(p) + z(p). Differentiate v(x) wrt x. -4*x**3 What is the derivative of 8*m**2 + 4 + 2 - 11 wrt m? 16*m Let o(y) = y - 3. Let w be o(5). What is the first derivative of 6 + 4 - 9 + 5*d**w - 2*d**2 wrt d? 6*d Let h(k) be the second derivative of 0*k**5 + 2
{ "pile_set_name": "DM Mathematics" }
-539 + 133. Let b = n - -566. Is 7 a factor of b? False Let i(t) = t**3 + 11*t**2 - 12*t + 3. Let l be i(-12). Let y be 8 + l - (-5 - -6). Let o = y + 20. Is 30 a factor of o? True Suppose -74 = -2*t + 42. Suppose 0 = -5*p - 17 - 163. Let x = t + p. Is x a multiple of 6? False Suppose f = -4*n + 2 + 8, -3*f - 3*n = -12. Let p be 306/5 + 2/(-5)*-2. Suppose -q + 4 = -5*q, -2*v + p = -f*q. Is v a multiple of 10? True Suppose 542*b - 188786 = 489*b. Is b a multiple of 25? False Suppose -3*y = -n + 8, -5*n + 3*n + 16 = 3*y. Suppose 9*o - n*o - t = -186, -o + 4*t - 186 = 0. Let x = 386 + o. Does 50 divide x? True Suppose -2*d + 1357 = x, -4582 = -4*x - d + 874. Is x/10*(-4)/(-3) a multiple of 8? False Let n be 2/3 - 32480/84. Let r = n + 431. Is 9 a factor of r? True Let c(v) = 268 - 132 - 3*v - 162. Let t be c(-16). Is 116 + ((-40)/22 - 4/t) a multiple of 55? False Let g be (-1 - 76/20)*130/(-39). Suppose -g*n + 83 = -1245. Is n a multiple of 2? False Let h = 95 + 25. Suppose 5*v + 555 = 4*r, -3*v + 8*v - h = -r. Is r a multiple of 8? False Let r = -395 + 920. Let a = r + -301. Is 18 a factor of a? False Let c be 4 - 5/(-15)*3. Suppose 2*l + 21 = c*u - 74, 2*u = l + 39. Does 17 divide u? True Let n(q) = 1361*q + 3550. Does 14 divide n(33)? False Does 79 divide (111/74)/(3/(-142))*-71? False Suppose 0 = 7*b - 70483 - 16926. Does 67 divide b? False Does 13 divide 6/((-30)/(-189295)) - 18/6? True Let k(c) = 308*c**3 + 9*c**2 - 13*c + 4. Is 4 a factor of k(1)? True Let m(j) = -4252*j**2 - 2*j + 1. Let q be m(-2). Does 17 divide (-2 - (-24)/11) + q/(-77)? True Let c = -22 + 24. Suppose 5*n = t + 10, -n + 0*t = -c*t - 2. Suppose -2*s + 114 = 2*x - n, -294 = -5*s - x. Is s a multiple of 25? False Let n(b) = 2*b**2 - 5*b + 2. Let p(s) = s**2 + 3*s - 2. Let q be p(-4). Suppose z = -q*z - o + 7, 4*z = -o + 10. Does 5 divide n(z)? True Let v = -64 - -82. Let c be 69/(-18) + (-6)/36 + v. Is 15 a factor of (-2 - c/(-6)) + (-636)/(-9)? False Let h = 545 - -6699. Is h a multiple of 71? False Suppose 2 = 2*g - 2. Is 183 - (1*g + -13 + 14) a multiple of 51? False Let w(k) = 62*k**3 - k - 1 - 28*k**3 - 33*k**3. Let r(o) = 6*o**3 + 7*o**2 - 3*o - 5. Let y(x) = r(x) - 5*w(x). Does 2 divide y(-3)? True Let n = -261 + 8541. Is 69 a factor of n? True Let y be 0 + 2 + (-2 + 4 - -216). Let r = 148 - y. Let a = r - -184. Is 14 a factor of a? True Let d be 1/2 - 2/(-4). Let l(t) be the second derivative of 21*t**5/10 + t**4/12 + t**3/6 - t**2/2 + 102*t + 1. Is l(d) a multiple of 12? False Suppose -2*t - 4 = -4*r, 1 = r + 2*t - 5. Suppose 3*n - 1442 = -r*l - 358, -2*n + 4*l + 712 = 0. Suppose b - n = -9*b. Does 18 divide b? True Let y be (12/10 + 0)*(-200)/(-60). Suppose -c + 4*u + 13 = 0, 35 = y*c - 4*u + 7. Suppose -2*k + 0*n + 83 = -c*n, n + 103 = 2*k. Does 18 divide k? True Let z = -61 - -55. Let k be (56/z)/(17/51). Let s = k - -78. Is s a multiple of 10? True Suppose -165*r + 179*r + 5278 = 30688. Does 6 divide r? False Suppose 5*b + f + 1874 = 2*f, 2 = -2*f. Let k = b + 1115. Is k a multiple of 20? True Let v be (-4)/(-20) + (-70)/(-25). Let r be (((-153)/12)/v + -2)*-100. Suppose -4*k + 500 = -2*o, -5*k - 2*o + r = -0*o. Is 25 a factor of k? True Suppose 3*f - r = 9, 5*f - 15 = 2*r - 7*r. Suppose 5*d + 5*m - 652 = 68, -422 = -f*d - m. Does 6 divide d? False Let w(v) = 21*v**2 + 826*v - 95. Is 40 a factor of w(-51)? True Let k = 67523 - 40340. Does 123 divide k? True Let q(d) = 3*d**3 - 122*d**2 + 18*d + 25. Does 52 divide q(41)? True Let i(h) = 164*h - 180. Let g be i(8). Suppose 3*w - 5*w + g = 0. Is 8 a factor of w? False Let g = 36613 + -17302. Is g a multiple of 123? True Let t be (-5 + (-294)/(-10))*(-1 - 4). Let l = 134 + t. Is 3 a factor of l? True Suppose -2*o - 18 = -4*s, -3*s = 4*o - o - 9. Suppose -5*d + s = 19. Does 25 divide ((-1500)/5)/d + -4? False Let k = 107 - -243. Suppose -39*r + 34*r + k = 0. Does 35 divide r? True Suppose 3*h + 17 + 16 = 0. Let c = 52 - h. Let x = c - -7. Does 16 divide x? False Suppose -651*m + 214*m = -5302995. Does 15 divide m? True Let q(g) be the second derivative of g**4/4 - 9*g**3 - 18*g**2 - 16*g. Is q(24) a multiple of 36? True Let q = 9533 - 2231. Is 13 a factor of q? False Let c(l) = 354*l**2 - 30*l - 24. Let j(q) = -13*q**2 + q + 1. Let y(v) = 2*c(v) + 54*j(v). Let u be 10*((-12)/10)/(-3). Is y(u) a multiple of 26? True Let l(w) = -77*w + 285. Let c be l(4). Suppose 0 = 2*n - 15 - 63. Let k = n + c. Is k a multiple of 15? False Let z = -99 + 104. Suppose -q + 18 = 4*c - 9, -2*q - z*c = -42. Is 22 a factor of 3*1109/33 + 2/q? False Let i(f) = 3*f + 4. Let w(z) = -1 - 2 + 2 - 4*z - 5. Let a be w(-5). Is 4 a factor of i(a)? False Let x be -8 + 1*-1*(-1 + 2). Let m be 2/(-6)*x - (2 - 3). Suppose -m*h = 2 + 2, 4*f - 3*h - 147 = 0. Is f a multiple of 9? True Let i = 23852 + -16015. Is 17 a factor of i? True Let s(g) = g**2 - 18*g + 129. Is 3 a factor of s(41)? False Let x(b) = -82*b + 16. Let m be x(4). Let o = -265 + 705. Let q = o + m. Does 16 divide q? True Suppose 80 = 7*v - 2*v. Suppose -3*a - v = 3*f - 1, -3*f = -2*a - 15. Does 15 divide ((-8)/a)/(((-4)/126)/(-1))? False Suppose 21*j = 24*j - 5*r - 3029, 4*j - 3*r = 4013. Is j a multiple of 11? False Is 35669 + (-30)/(-20)*10 a multiple of 304? False Let m = -7750 + 12110. Is m a multiple of 55? False Let r = 184 + -182. Does 18 divide r/26 + 33846/78? False Let p(m) = 110*m**2 - 1 + 96*m**2 - 6*m**2 + m. Does 17 divide p(-1)? False Suppose -44 = 5*t + 2*b + 56, 0 = -t - b - 17. Let g = 189 + t. Let d = -103 + g. Does 46 divide d? False Suppose -24*i = -165*i + 216107 + 2310613. Is i a multiple of 41? False Suppose 156*n + 2290 = 158*n + 6*c, 2*n + 5*c = 2287. Is n a multiple of 2? True Does 5 divide 746284/336 - (-2)/(-24)? False Suppose 0 = -2*d + x + 4000 + 3540, -4*d - 2*x = -15088. Is d a multiple of 9? True Suppose 0 = -10*i + 808 + 852. Let d = 527 - i. Does 7 divide d? False Let w(h) = 7*h**2 + 91*h + 69. Let b(m) = m**2 + 18*m + 14. Let s(d) = -11*b(d) + 2*w(d). Does 74 divide s(-10)? True Let i(b) = 2*b**2 - 16*b - 46. Let q be i(10). Is 89 a factor of ((-22)/q)/(17/1785)? False Let z be 492/24*(-2)/(-1). Let n(v) = 23*v**2 - v**3 + 35 - z*v**2 + 16*v**2. Is n(0) a multiple of 5? True Let y(g) = 10*g - 10. Suppose -5*f - c = -15 - 227, 2*f = -3*c + 89. Let x = 52 - f. Does 7 divide y(x)? False Suppose -4*w + 5*n - 114 = 0, -4*n + 8 + 15 = -w. Let c = w + 36. Suppose u + c*v = 41, -5*u + v = -v - 286. Is 14 a factor of u? True Let a = -931 - -1446. Is a a multiple of 2? False Let y(d) = -2*d**3 - 31*d**2 + 20*d + 62. Let h be y(-16). Is 168797/138 + 3/(9*h) a multiple of 38? False Let x(q) = -237*q**3 + 13*q**2 + 3*q + 7. Let l(y) = 79*y**3 - 4*y**2 - y - 2. Let m(f) = 7*l(f) + 2*x(f). Let j be m(-1). Is (-128)/j + 4/10 even? True Let d(u) = -u**3 - 2*u**2 - u - 3. Let z be d(-2). Let c be (-21)/((-220)/208 - z). Suppose -2*m - 352 = -2*r, 3*r - 2*m = 5*r - c. Does 13 divide r? False Suppose 0 = 2*k + 3*s + 36 - 108, -4*k + 2*s = -176. Suppose -3*p + k - 13 = 4*l, 3*l = -p + 3. Is 7 a factor of p? False Let c = 115 + -113. Suppose -5*p + 3*t = 5 - 25, -5*p = 3*t - 20. Suppose -4*q + 314 = -q - w, -p*w = c*q - 214. Is q a multiple of 29? False Let q(p) = p + 16. Suppose -a - 2*h = -2 - 1, 23 = -4*a - h. Let u be q(a). Let g = u - -31. Is g a multiple of 40? True Let g = 41219 + -21315. Is g a multiple of 185? False Let f = 96 - 94. Suppose f*g - 141 - 51 = 0. Let k = -37 + g. Is k a multiple of 43? False Let y be (-4)/24*-27*2/(-1). Is 30 a factor of 2876/12*2 - 6/y? True Let m(y) = -2*y**2 + 15*y + 66. Let v be m(-11). Let x = -251 - v. Is x a multiple of 45? True Let r = -2094 + 3408. Does 55 divide r? False Suppose w + 4 = 0, -3*w - 1980 = -r - 2*r. Let t = r - 446. Is t a multiple of 15? True Let y = 73642 - 40182. Is 20 a factor of y? True Suppose -l = -12*l + 22. Suppose -4*u - l*j + 370 = 0, -j + 3 = 2. Does 23 divide u? True Let h = -398 - -116. Let x = 513 + h. Is x a multiple of 2? False Suppose -j - 3190 = -5*j - h, -5*j = -2*h - 3981. Let y = -335 + j. Does 7 divide y? True Let r = -44 + -48. Let h be (-193 + (-1)/(-1))*1. Let v = r - h. Is v a multiple of 11? False Suppose -21*r + 417 + 6198 = 0. Is 59 a factor of r? False Let h = 3044 + -2276
{ "pile_set_name": "DM Mathematics" }
*3 + 10306*m wrt m. 2400*m**3 - 6*m What is the derivative of -4*g*s + g + 4*q*s**4 + 6*q - s**4 wrt s? -4*g + 16*q*s**3 - 4*s**3 Find the second derivative of 18227*v**3 + 14278*v. 109362*v Find the second derivative of -16*k**4*m + 36*k**3*m + 14*k*m - 77 wrt k. -192*k**2*m + 216*k*m Find the second derivative of -1792*v**2 - v + 509 wrt v. -3584 What is the third derivative of 3*a**6 - 107*a**4 + 23*a**2 wrt a? 360*a**3 - 2568*a What is the first derivative of 103*l**2*r + 1515*l**2 wrt r? 103*l**2 What is the third derivative of -3*z**4 + 477*z**3 + 9489*z**2? -72*z + 2862 Find the second derivative of i**3*s**3 + 2*i**3*s - 2*i**2*m + i*m*s**3 - i*m - 6*m*s**2 + 3*m*s - 7*s**2 wrt s. 6*i**3*s + 6*i*m*s - 12*m - 14 Find the third derivative of 175*l**3*z - 4*l**3 + 59*l**2*z + 96*l*z wrt l. 1050*z - 24 Find the second derivative of -19*a**3*t**2 + 2*a**3*t + 28*a**2*t**2 - 85*a wrt t. -38*a**3 + 56*a**2 Find the third derivative of 10*b**3*n**2*u + 6*b**3*n**2 + 3*b**3*n*u + 4*b**2*u - 11*b*u + 3*n**2*u wrt b. 60*n**2*u + 36*n**2 + 18*n*u Differentiate 6*a**4*d**3 + 253*a**4*d**2 + 2*d**3 + 2*d**2 + 2212 with respect to a. 24*a**3*d**3 + 1012*a**3*d**2 Find the third derivative of -11*f**5*y - 2*f**3*y**3 - 38*f**2*y**3 wrt f. -660*f**2*y - 12*y**3 Differentiate 137*a*j**3*q**2 + 1820*a*q**2 - 2*j**3*q**2 wrt j. 411*a*j**2*q**2 - 6*j**2*q**2 What is the first derivative of -350*h**2 - 8*h - 16683? -700*h - 8 What is the third derivative of 3*f**2*m*r + f**2*r**3 - 3*f*m*r**3 + 5*f*m*r**2 - 34*m**2*r**3 + m**2 - 3*m*r wrt r? 6*f**2 - 18*f*m - 204*m**2 Differentiate 27*q**2*u**2 - q**2 - 120*q*u**2 - 18467*u**2 with respect to q. 54*q*u**2 - 2*q - 120*u**2 What is the third derivative of 21240*f*z**4 - 2118*f*z**2 wrt z? 509760*f*z What is the third derivative of 175*v**6 - 26*v**2 - 25 wrt v? 21000*v**3 What is the derivative of -38*f**4 - 5*f + 427? -152*f**3 - 5 What is the third derivative of 1812*h**2*i**4 - 2*h**2*i**2 - 406*h*i**2 - 2*i**3 - 2 wrt i? 43488*h**2*i - 12 What is the third derivative of -479*f**5 + 81*f**2? -28740*f**2 Differentiate 963*w - 6130. 963 Find the third derivative of 4244*i**3*z**2 - 5*i**3 + 247*i**2 - 10*i*z - 4*z**2 wrt i. 25464*z**2 - 30 What is the second derivative of 2975*u**2*x + 4*u*x - 5*u - 2*x wrt u? 5950*x Find the second derivative of 9*t**3*y**3 + t**3*y**2 - t*y**2 + t - 14*y**3 wrt t. 54*t*y**3 + 6*t*y**2 Find the second derivative of -4*o*w**2 + 191*o*w - 10*w**2 - 2*w wrt w. -8*o - 20 What is the derivative of -220*m**3 - 85 wrt m? -660*m**2 Differentiate -14*m**3 + 29*m**2 + 6*m + 4597 with respect to m. -42*m**2 + 58*m + 6 What is the first derivative of -14*l**2 + l*n + 21*l + 2*n - 1596 wrt l? -28*l + n + 21 What is the second derivative of -49*k**4 + 4*k**2 + 3*k - 91? -588*k**2 + 8 Find the third derivative of 198*a*u**4 + 2*a*u**2 + 18*a + 2*u**5 + u wrt u. 4752*a*u + 120*u**2 Find the third derivative of -2*x**6 - 2*x**4 + 1422*x**3 - 132*x**2 - x. -240*x**3 - 48*x + 8532 Find the second derivative of 144*t**2 + 7*t wrt t. 288 What is the second derivative of 323*f**2*j**2 - f**2*j + f*j**3 + 10*f*j - 4*j wrt j? 646*f**2 + 6*f*j What is the derivative of 28*j**3*k**3*n + 3*j*n - k**3*n - 335*k*n wrt j? 84*j**2*k**3*n + 3*n What is the second derivative of 9*o**2 - 2*o - 20? 18 What is the third derivative of 891*h**3*o**2 - 4*h**2 - 227*h*o**2 wrt h? 5346*o**2 Find the second derivative of -561*i**2*v**2 + i**2*v + 9*i**2 - i wrt v. -1122*i**2 What is the second derivative of 47*h**2*o**2 - h**2 + 2*h*o**2 + 20*h*o + 3*o wrt o? 94*h**2 + 4*h What is the second derivative of 268*m**3*y**3 - 2*m*y + y**3 + 10 wrt m? 1608*m*y**3 What is the second derivative of -2*d**5 + 356*d**3 - 407*d? -40*d**3 + 2136*d What is the first derivative of -3238*l + 9177? -3238 Find the third derivative of 5753*d**4 - 2*d**2 + 612. 138072*d What is the first derivative of -8*s*u + 32*s + 2*u**4 - 9*u wrt u? -8*s + 8*u**3 - 9 Differentiate 2*h**3*i**2*m**2 - 5*h**3*m**2 + 2*h**3 + 13*h**2*i**2 - h*i**2 wrt m. 4*h**3*i**2*m - 10*h**3*m What is the third derivative of 96*o**5*s + 2*o**4*s**2 + 168*o**2*s**2 wrt o? 5760*o**2*s + 48*o*s**2 What is the derivative of -4*l**2*n - l**2 - 13*l*n + 25 wrt n? -4*l**2 - 13*l Find the third derivative of 2*v**6 - v**4 - 1635*v**3 - 2*v**2 + 186*v + 3. 240*v**3 - 24*v - 9810 What is the second derivative of 2*h**2*v - 65*h**2 - h*v + 56*h + 3*v wrt h? 4*v - 130 Find the second derivative of 97*q**4 + q**3 - 21*q wrt q. 1164*q**2 + 6*q What is the derivative of 19*n**4 - 111? 76*n**3 What is the derivative of j**3*n*q - j**3*n*w + j**3*n - 2*j**3*q + 160*j**2*q*w - 2*j*n*w + 31*j*w wrt q? j**3*n - 2*j**3 + 160*j**2*w Find the first derivative of 6*b**2*h**3 - 2*b**2 - 3*b*h**2 - 296*h**3 wrt b. 12*b*h**3 - 4*b - 3*h**2 Find the third derivative of 3*n**4*p**3 - 2*n**4 + 8*n**3*p**2 + n**2*p**2 + n*p**3 + 2*p**3 wrt n. 72*n*p**3 - 48*n + 48*p**2 Find the third derivative of -12241*m**4 + 990*m**2 + 4. -293784*m What is the derivative of -7465*j - 12034? -7465 What is the first derivative of b*g**2 - 6596*b + 2861*g**4 wrt g? 2*b*g + 11444*g**3 Find the first derivative of -260*n**2*p*t*u + n**2*p - 7*n*p*t*u + 28*n*p - 9*t wrt u. -260*n**2*p*t - 7*n*p*t What is the third derivative of 5*m**6 - 9*m**3 + 664*m**2 wrt m? 600*m**3 - 54 Find the third derivative of -910*u**6 - u**2 + 123. -109200*u**3 Differentiate -7785*w**3 + 1683 wrt w. -23355*w**2 What is the third derivative of -5*n**2*o**4 - 7*n**2*o**2 + 22*n*o**5 + 5*n*o**2 - n wrt o? -120*n**2*o + 1320*n*o**2 Find the first derivative of -2915*j + 5090 wrt j. -2915 Find the second derivative of 5*n**3*u - 60*n**3 - 13*n*u + 47*u wrt n. 30*n*u - 360*n What is the derivative of -24201*j - 20128 wrt j? -24201 What is the third derivative of -h**5 - 30*h**4*v + 10*h**4 + 177*h**2 + 29*h*v wrt h? -60*h**2 - 720*h*v + 240*h Find the third derivative of 2340*c**3 - 6*c**2 - 26*c. 14040 Differentiate -23*d**3*x + 512*d**3 - 10*d**2*x**3 wrt x. -23*d**3 - 30*d**2*x**2 What is the second derivative of 266*o**5 - 487*o wrt o? 5320*o**3 What is the second derivative of -b**5 + 3*b**2 + 97*b wrt b? -20*b**3 + 6 What is the derivative of -505*g**3 + 267? -1515*g**2 What is the second derivative of -2*h**2*p**2 + 5*h**2*p - 113*h*p**3 - 6*p wrt p? -4*h**2 - 678*h*p What is the third derivative of -9425*b**3*q**2 + b**2*q**2 - 3*b**2 + 2*b*q**2 - 27*q wrt b? -56550*q**2 Find the third derivative of 7*k**6*y + 13*k**5*y**3 - 11*k**2*y - 2*k*y**3 wrt k. 840*k**3*y + 780*k**2*y**3 Find the second derivative of 3406*r**2 + 66*r + 6. 6812 What is the second derivative of 59*p*z**5 - 24*p*z**3 + 46*p*z + 15 wrt z? 1180*p*z**3 - 144*p*z What is the third derivative of g**2*v**5 + 9*g**2 - 591*g*v**2 - 285*v**4 wrt v? 60*g**2*v**2 - 6840*v What is the second derivative of q*s**2*u**3*z + q*s**2*u**2 + 2*q*s*u + 11*q*u**2 - 2*q*u*z + 23*s**2*u*z + 2*s*u**3*z - 4*s*u**3 + 2*s*u*z wrt s? 2*q*u**3*z + 2*q*u**2 + 46*u*z What is the second derivative of -8*r**2*u**3 + 2*r**2*u**2 + 150*r**2*u wrt u? -48*r**2*u + 4*r**2 Differentiate -30*i**2 - 12*i + 11196 with respect to i. -60*i - 12 What is the second derivative of 2*r**3 - 6*r**2*t**2 - 162*r*t**2 wrt r? 12*r - 12*t**2 What is the first derivative of 25*y**4 + 3*y**2 - 138 wrt y? 100*y**3 + 6*y What is the derivative of -1188*g**2 - g - 2541? -2376*g - 1 Find the third derivative of 1310*j**3 - 53*j**2 - 3*j wrt j. 7860 What is the third derivative of b**3*l*r**2 + 259*b**3*l*r*x + 4*b**2*l*r**2*x + 11*b**2*l*r*x + l wrt b? 6*l*r**2 + 1554*l*r*x What is the third derivative of -p*y**4 + 61*p*y**3 - 2*p*y**2 - 2*p*y - 4*p - 6*y**4 + 2*y**3 - 19*y**2 wrt y? -24*p*y + 366*p - 144*y + 12 What is the second derivative of -2153*o**2*q**2 + 1312*o*q**2 wrt o? -4306*q**2 What is the third derivative of -8*b**4*j*l - 32*b**4*l - b**3*l**2 - b**2*j*l - 3*b**2 + b*j*l - b*l**2 + 16*j*l**2 wrt b? -192*b*j*l - 768*b*l - 6*l**2 What is the derivative of 6*w**2 + 165*w - 27 wrt w? 12*w + 165 Find the first derivative of -c**3*i*t - 60*c**3*t + 3*c**3*u + 3*c**2*i*t*u - 598*i*u wrt i. -c**3*t + 3*c**2*t*u - 598*u Find the second derivative of 2*k**4*v - 296*k**4 + 428*k + 2*v wrt k. 24*k**2*v - 3552*k**2
{ "pile_set_name": "DM Mathematics" }
d: 5}. What is prob of sequence iui? 5/153 What is prob of sequence ozo when three letters picked without replacement from {o: 8, z: 5}? 70/429 Four letters picked without replacement from {x: 1, n: 1, e: 2, g: 2, l: 2, v: 5}. Give prob of sequence elgg. 1/2145 What is prob of sequence dddf when four letters picked without replacement from doofddnodoodoo? 5/2002 What is prob of sequence iw when two letters picked without replacement from {a: 2, s: 1, u: 1, w: 1, i: 5}? 1/18 Two letters picked without replacement from {p: 3, e: 1, n: 3}. What is prob of sequence pp? 1/7 What is prob of sequence rw when two letters picked without replacement from rmvrvrrmwmrvw? 5/78 Three letters picked without replacement from ffffffufhfffuffhhf. What is prob of sequence fuh? 13/816 What is prob of sequence cmcc when four letters picked without replacement from ccccccmm? 1/7 Calculate prob of sequence aw when two letters picked without replacement from kzoanzozzawaakzzkozk. 1/95 Calculate prob of sequence od when two letters picked without replacement from {l: 4, d: 2, r: 5, h: 2, o: 4}. 1/34 What is prob of sequence pr when two letters picked without replacement from pppr? 1/4 Four letters picked without replacement from {w: 4, c: 10}. Give prob of sequence ccwc. 120/1001 Calculate prob of sequence jjc when three letters picked without replacement from cjcjjjjjjj. 7/45 What is prob of sequence ffw when three letters picked without replacement from {j: 3, g: 1, w: 5, s: 4, f: 5, q: 2}? 5/342 Two letters picked without replacement from amna. Give prob of sequence nm. 1/12 Calculate prob of sequence pmvn when four letters picked without replacement from {n: 1, p: 6, i: 3, g: 4, m: 1, v: 1}. 1/7280 What is prob of sequence ppkk when four letters picked without replacement from pkkkipkkp? 5/126 Four letters picked without replacement from {q: 10, b: 9}. What is prob of sequence bbqb? 35/646 What is prob of sequence zvv when three letters picked without replacement from {z: 1, l: 1, n: 1, v: 2}? 1/30 Calculate prob of sequence ttt when three letters picked without replacement from {v: 11, t: 5}. 1/56 What is prob of sequence is when two letters picked without replacement from ikkiisiiiiiisi? 10/91 Four letters picked without replacement from {w: 8, c: 5}. Give prob of sequence wcww. 14/143 Three letters picked without replacement from {o: 3, q: 3, i: 2, p: 2, s: 1, c: 1}. Give prob of sequence poq. 3/220 Two letters picked without replacement from {a: 2, k: 2, c: 5}. What is prob of sequence aa? 1/36 Calculate prob of sequence qh when two letters picked without replacement from {c: 3, h: 3, x: 5, q: 7, k: 2}. 21/380 Two letters picked without replacement from {f: 5, m: 2}. Give prob of sequence fm. 5/21 Two letters picked without replacement from lggllslgbgbbrg. What is prob of sequence ll? 6/91 Calculate prob of sequence jh when two letters picked without replacement from {f: 1, k: 1, j: 2, h: 2, e: 1, a: 1}. 1/14 Three letters picked without replacement from {j: 5, u: 11}. Give prob of sequence juj. 11/168 Two letters picked without replacement from {c: 3, f: 4, l: 2}. What is prob of sequence cl? 1/12 Calculate prob of sequence ggg when three letters picked without replacement from ggggghgggggghgggggg. 40/57 Calculate prob of sequence ooue when four letters picked without replacement from {e: 3, u: 1, o: 3}. 3/140 Two letters picked without replacement from rrrrrerrrrerrrrrrrer. Give prob of sequence rr. 68/95 What is prob of sequence nnp when three letters picked without replacement from {p: 1, n: 12}? 1/13 Four letters picked without replacement from icrjrrirrczjjcr. Give prob of sequence rjrr. 1/91 Four letters picked without replacement from gwpwnwwwkk. Give prob of sequence kgnw. 1/504 Three letters picked without replacement from gfgwdf. Give prob of sequence ffd. 1/60 What is prob of sequence npm when three letters picked without replacement from {n: 2, w: 3, m: 1, j: 1, p: 1, b: 4}? 1/660 Four letters picked without replacement from {j: 6, m: 7}. Give prob of sequence mmjm. 21/286 Two letters picked without replacement from {y: 4, c: 2, v: 3, m: 2, n: 1}. What is prob of sequence ym? 2/33 Four letters picked without replacement from klldlqqvqlqlkkn. What is prob of sequence qvll? 2/819 What is prob of sequence xllx when four letters picked without replacement from xxxxll? 1/15 Calculate prob of sequence etr when three letters picked without replacement from {i: 2, e: 5, t: 4, r: 4}. 8/273 Two letters picked without replacement from {x: 3, u: 2, k: 1, g: 5, w: 1, m: 1}. Give prob of sequence uu. 1/78 Calculate prob of sequence ee when two letters picked without replacement from kreperkrxekppqp. 1/35 Four letters picked without replacement from {g: 1, m: 2, y: 1, q: 1, h: 1, l: 1}. Give prob of sequence ygqm. 1/420 Four letters picked without replacement from {y: 1, s: 1, z: 1, b: 1, p: 2, i: 1}. Give prob of sequence bipy. 1/420 What is prob of sequence wt when two letters picked without replacement from fffffwfttfwff? 1/39 Calculate prob of sequence lqs when three letters picked without replacement from {s: 1, l: 1, q: 1}. 1/6 What is prob of sequence vys when three letters picked without replacement from {i: 2, v: 1, s: 1, h: 1, y: 1, q: 1}? 1/210 Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}. 1 Calculate prob of sequence ph when two letters picked without replacement from {h: 4, p: 6}. 4/15 What is prob of sequence awnc when four letters picked without replacement from cnnaawhawrar? 2/1485 Three letters picked without replacement from {o: 2, p: 1, f: 1, g: 3}. What is prob of sequence opg? 1/35 Calculate prob of sequence vvxf when four letters picked without replacement from vvsxssxxsvffxxs. 1/546 Calculate prob of sequence ggg when three letters picked without replacement from {g: 13, j: 6}. 286/969 Two letters picked without replacement from agqeq. Give prob of sequence ae. 1/20 What is prob of sequence rjjt when four letters picked without replacement from rrtjrjrrtttrttt? 1/390 Three letters picked without replacement from zzazzuzzuzzzzuz. Give prob of sequence uza. 11/910 What is prob of sequence neq when three letters picked without replacement from {r: 1, q: 2, x: 6, n: 6, e: 2, o: 1}? 1/204 Three letters picked without replacement from liillllliliill. Give prob of sequence ill. 15/91 Calculate prob of sequence wlll when four letters picked without replacement from lwwlwwwwlwl. 7/330 What is prob of sequence em when two letters picked without replacement from {e: 2, h: 2, m: 1, w: 8}? 1/78 Calculate prob of sequence byy when three letters picked without replacement from {y: 2, b: 1}. 1/3 Three letters picked without replacement from {d: 1, l: 2, t: 1, s: 2, m: 2, p: 1}. Give prob of sequence ltl. 1/252 Four letters picked without replacement from {o: 5, k: 7, h: 4, t: 3}. What is prob of sequence okko? 35/3876 What is prob of sequence mnm when three letters picked without replacement from mfnjggmnjfjmg? 1/143 Calculate prob of sequence ptpx when four letters picked without replacement from axptxxaatap. 1/660 Two letters picked without replacement from {z: 3, w: 3}. Give prob of sequence wz. 3/10 What is prob of sequence rr when two letters picked without replacement from {r: 7, o: 1}? 3/4 Calculate prob of sequence bq when two letters picked without replacement from xwbwqie. 1/42 Three letters picked without replacement from {m: 4, l: 2}. What is prob of sequence lml? 1/15 Calculate prob of sequence qpqp when four letters picked without replacement from qqpqpqqqqpqqqqqqqq. 7/408 What is prob of sequence voo when three letters picked without replacement from {v: 4, o: 3, f: 1}? 1/14 Calculate prob of sequence kkkk when four letters picked without replacement from eggggke. 0 Calculate prob of sequence nin when three letters picked without replacement from {i: 4, s: 3, w: 1, n: 2}. 1/90 Calculate prob of sequence vh when two letters picked without replacement from {m: 4, v: 6, h: 3, x: 3, w: 4}. 9/190 Three letters picked without replacement from {q: 2, e: 1, z: 2, f: 1, p: 6}. What is prob of sequence qzz? 1/330 Four letters picked without replacement from {n: 3, j: 1, g: 2, r: 4}. Give prob of sequ
{ "pile_set_name": "DM Mathematics" }
Let z(o) = o**2 + 7*o + 6. Let q be z(-5). Let g = -11 - -11. Put q, g, -3 in descending order. g, -3, q Let c = 8 + -7.8. Let d = 1090.2 - 1091. Sort c, d, 0 in increasing order. d, 0, c Let s(x) = -x**3 + 8*x**2 - x + 6. Let h be s(8). Let k be (-9)/3 + (2 - h). Sort -5, -4, k in increasing order. -5, -4, k Let l = 0.31 - 0.91. Put 1, -2/5, l in descending order. 1, -2/5, l Suppose -x = -4*x + 12. Let w(p) = -p**2 - 22*p - 15. Let z be w(-21). Suppose 2*s = z*s - x. Sort -1, -3, s in ascending order. -3, -1, s Let c(d) = d**3 + 11*d**2 - 18*d - 29. Let h be c(-12). Let z = h + -40. Sort -1, -8, z. -8, -1, z Let t = -330 - -332. Sort 0, -6, t, -4 in descending order. t, 0, -4, -6 Suppose 3*h + 3*j = 7*j + 404, -3*h - 5*j + 440 = 0. Put 2, h, 5 in descending order. h, 5, 2 Let i(x) be the first derivative of -x**4/4 - 8*x**3/3 + 5*x**2 - 34. Let r be i(-9). Put r, -4, 5 in decreasing order. 5, -4, r Suppose -n + 50 = 16. Let r = -34 + n. Sort r, -4, -9. -9, -4, r Suppose -42*g - 62 = -38*g - 2*b, -5*b - 37 = 2*g. Put g, -1, -2, 5 in ascending order. g, -2, -1, 5 Let f = 48 + -17. Let p = f - 27. Sort 5, 0.4, p in ascending order. 0.4, p, 5 Let o = 0.1 + -0.1. Let w = 197.6 + -197.4. Suppose -d + 3*d = 2*q + 8, 0 = -3*d + 2*q + 10. Sort o, d, w. o, w, d Let t = 11144.92 - 11145. Suppose -3*n = -6*n + 3. Let d be (n/(-2))/(2/4). Sort 4, d, t in increasing order. d, t, 4 Let o = 432 - 429. Sort o, 5, 11 in descending order. 11, 5, o Let l = -175 + 174. Sort -3, l, 36. -3, l, 36 Let v = 0.081 - -31.919. Let r = v + -35. Put 1/2, r, -1/2 in descending order. 1/2, -1/2, r Let n = 10 - 9. Let s be 4 - 5 - (n + 9 + -2). Sort -1, s, 3 in increasing order. s, -1, 3 Suppose 3*l + l - 100 = 0. Let m = l - 14. Suppose -11*q - 29 = -40*q. Put q, 3, m in decreasing order. m, 3, q Let v(f) = f**3 + 14*f**2 - 13*f + 28. Let k = 78 + -93. Let a be v(k). Sort 3, a, 5, 0. a, 0, 3, 5 Suppose 3*s - 130 + 22 = 0. Let h = s + -41. Suppose 8*x = 5*x - 42. Sort 5, x, h. x, h, 5 Let d be ((-30)/(-27)*-15)/((-3)/(-9)). Let h = d - -44. Put 1/5, -3, h in descending order. 1/5, -3, h Let o(y) = y**2 - 6*y - 3. Suppose -21 = -3*p - 0. Let u be o(p). Let v(k) = k - 4. Let f be v(5). Sort 0, u, f. 0, f, u Let a(t) = -t**3 + t**2 + 2*t + 8. Let l be a(0). Put 4, -14, l in increasing order. -14, 4, l Let a be (32/12)/(8/36). Suppose 4*w + 4 = a. Sort -1, 3, w, -5 in descending order. 3, w, -1, -5 Let l be -1 + -37*172/(-3976). Let m = 9/14 - l. Let u = 373/426 - m. Put 5, u, -3 in decreasing order. 5, u, -3 Let n be 2/15*-3 + (-108)/(-20). Sort -3, n, 7, 3 in decreasing order. 7, n, 3, -3 Suppose -123 = 69*q - 28*q. Suppose 5*d - i - i = 28, 0 = 5*d + i - 16. Let a be 1*(5 - (2 + -2)). Put q, a, d in decreasing order. a, d, q Let k(z) = 2*z**3 + z**2 + z + 4. Let a be k(3). Suppose 5*i + 0*i = -a. Let t = i - -13. Sort t, -5, -3 in descending order. t, -3, -5 Let f = -590 - -591. Put 183, -4, f in decreasing order. 183, f, -4 Let q = 52075/4 + -584245/44. Let r = -259 - q. Let o = -1.96 - 0.04. Put 4, r, o in decreasing order. 4, r, o Let r = -812.7 - -738. Let s = 75 + r. Sort s, -1, 2. -1, s, 2 Let m(c) = -2*c**2 - 3*c - 3. Let a(d) = -6*d**2 - 8*d - 8. Let j(o) = -2*a(o) + 7*m(o). Let k be ((-4)/6)/((-2)/(-6)). Let t be j(k). Sort t, -4, 5. -4, t, 5 Suppose -2*h + 6 = -3*y, 3*h + 0*y - 3*y = 9. Put -1, -4, h, -5 in descending order. h, -1, -4, -5 Suppose -9*o - 14 = 4. Sort 0, -3, 1, o in descending order. 1, 0, o, -3 Let v(n) = 15*n - 26. Let d be v(2). Put 72, 1, d in descending order. 72, d, 1 Let k be ((-24)/(-30))/((-18)/(-45)). Suppose -4*p = -0*p + 4*g + 8, 2*p + g = 1. Sort -1, 47, p, k in descending order. 47, p, k, -1 Let r(p) = -p**3 - 5*p**2 - 3*p + 5. Let m be r(-4). Suppose 0 = 5*d - 1 + m. Sort 2/11, d, -0.5, 5. -0.5, d, 2/11, 5 Let t(i) = 2*i**2 - 21*i + 52. Let b be t(5). Sort -2/11, 1, -1, b in increasing order. b, -1, -2/11, 1 Let o = -26 - -27. Suppose -p + o = -5. Let w be p*(33/(-18) - -2). Sort 14, -4, w. -4, w, 14 Let d = -0.4 + -5.6. Let n = -1346/7 + 192. Put -0.1, n, d in descending order. -0.1, n, d Let i = -468 + 470. Sort -66, i, 1 in descending order. i, 1, -66 Let j = 8 + -6. Suppose -5*z - 16 = 2*y + j, 4*y - 5*z = 24. Suppose -6*a + 9 = -3*a. Put a, 2, y in descending order. a, 2, y Let c be 4/18 + 3/108. Let t = 37/22 - 3/2. Let w(f) = f**3 - 5*f**2 - 5*f - 7. Let i be w(6). Put t, c, i in increasing order. i, t, c Let c be 0 + (4 + -4 - -2). Suppose c*s = 5*s. Sort s, -4, -2. -4, -2, s Suppose 3*w - 2*m = 0, 0*m + 5 = 5*w - 5*m. Sort 15, w, 3 in descending order. 15, 3, w Suppose -5*r + 34 = 19. Sort r, -1/3, -6 in ascending order. -6, -1/3, r Let p = 1.48 + -141.48. Let v = p + 139. Sort 0.3, -3/7, -12, v. -12, v, -3/7, 0.3 Suppose -2*n + 18 = 2*y, 10*y = 7*y - n + 27. Let o be 120/28 - (-2)/(-7). Put o, 1, y in descending order. y, o, 1 Let v = 73444 + -7344507/100. Let r = v + 8/25. Let y = 16 + -14. Sort 4, y, r. r, y, 4 Let p(d) = -d + 15. Let o be p(0). Let z = o - 13. Let y be -2 + 1 + z + 0. Put 4, 3/8, y in increasing order. 3/8, y, 4 Suppose 0 = -s - 0*s + 7. Let c = 13 - s. Suppose c = 4*k - 2*a, 3*k - 2*a + 3 = a. Put 0.2, -1, k in decreasing order. k, 0.2, -1 Let o(s) = -2*s + 43. Let y be o(22). Sort 4, -3, -4, y in descending order. 4, y, -3, -4 Let z(p) = -5*p + 5. Let c be z(5). Let f be 2/(-10) + (-614)/c. Let u = 31 - f. Put u, 5, 0.4 in decreasing order. 5, u, 0.4 Let z = -2.08 + 2.14. Put z, 1/3, 1, 4 in descending order. 4, 1, 1/3, z Let k(p) = -p**2 - p + 1. Let n(u) = u**3 - 6*u + 3. Let i(w) = -3*k(w) + n(w). Let f be i(-4). Put f, -1, 15 in descending order. 15, -1, f Suppose 93 = -9*u + 120. Suppose -7*k = -3*k - 8. Let o(h) = -h**2 - h + 6. Let t be o(-3). Put t, u, k in descending order. u, k, t Let u = 1397 - 1392. Sort u, 4, -4, -3 in descending order. u, 4, -3, -4 Let n be -3 + (-3)/((-6)/2). Let g(y) = -4*y**2 + 6*y + 1. Let l be g(2). Put -4, n, l in decreasing order. n, l, -4 Suppose -32 - 16 = 2*s. Let x be -3*(-4)/18*s. Let q = -13 - x. Put -7, -5, q in ascending order. -7, -5, q Let b be 1/2 - (-14)/4. Let k be (-14)/(-6) - (-2 + (-24)/(-18)). Suppose 3*s = -k*w, -4*w + 4 = -s - 1. Put w, 3, b in descending order. b, 3, w Suppose -8 = 3*z - 2*s, 5*s = 2 + 3. Suppose f - 8*f = -21. Put -9, f, z in descending order. f, z, -9 Let s = -453 - -456. Suppose 0 = 3*o - 3*g + 15, 2*o - 2*g = o - 6. Sort 0, -3, o, s in increasing order. o, -3, 0, s Suppose 3*t + 5*h = 3, 40*h + 3 = 3*t + 35*h. Suppose -8*i - 15 = -3*i. Sort i, 3, t in increasing order. i, t, 3 Let t be 3 + (-165)/(-3) - 9. Sort 0, t, -11 in descending order. t, 0, -11 Suppose h - 6*h - 2 = -2*m, -h = 2*m + 10. Let g be 4*((-17)/(-2) - 2). Suppose -5*t + g = 1. Sort -5, t, m in decreasing order. t, m, -5 Suppose 4*f - 2*c + 54 = 0, 4*c = c - 3. Let w be (12 + f)/(2/(-5)). Suppose -35 = -w*r - 0*g - 5*g, -4*r - 5*g = -33. Put 3, r, -1 in increasing order. -1, r, 3 Let g = 20 + -21.6. Let z = g - -6.46. Let w = z - -0.14. Sort w, -5, -3 in descending order. w, -3, -5 Suppose -2*s + 10 = 5*y - 25, 0 = s + 5*y - 30. Sort -2, 1, s, -1. -2, -1, 1, s Let s = -4 - -3. Let z = -114 - -568/5. Put 2/15, 2, s, z in ascending order. s, z, 2/15, 2 Let o(b) = -5*b + 154. Let p be o(30). Sort -3, 103, p in descending order. 103, p, -3 Let h = 27 + -23. Suppose 2*f - 7 = -4*o - 19, 3*f + 17 = -5*o. Let n = 4 + -1. Sort h, n, f. f, n, h Let v = 27 + 26. Put 0, 2, 4, v in decreasing order. v, 4, 2, 0 Let i = -1099/2442 - -19/66. Put 1, i, 1/3 in ascending order. i, 1/3, 1 Let m = -3 - -2.5. Let h = 169.284 + -0.284. Let f = h - 164. Sort m, f, -4. -4, m, f Let g = 9/29 + 24/203. Sort 3/5, -1, g, -0.6 in ascending order. -1, -0.6, g, 3/5 Let d(p) = -3*p - 10. Let w be d(-7). Let a = w + -15. Let i be (-4)/(a/(4/2)). Sort 4, i, 1 in descending order. 4, i, 1 Let g(f) = -f**2 + 3*f + 56. Let c be g(9). Let i = 3 - 7. Let z = -60.2 - -60. Sort c, z, i in descending order. c, z, i Let c = -2.4 - -2.7. Put -1/2, c, 2, -2 in increasing order. -2, -1/2, c, 2 Let r = -121 - -121.1. Let f = 0.21 + 0.09. Put r, -0.4, f in decreasing order. f, r, -0.4 Let z(b) = -b**2 + 5*b + 2. Let l be z(-4). Let w be (-2)/(-21)*51/l. Put -2/7, w, 0.2 in descending order. 0.2, w, -2/7 S
{ "pile_set_name": "DM Mathematics" }
o 12 and i have different values? True Suppose 7*r - 3 = -10. Let c = 565 + -2813/5. Let g = 7/3 - c. Which is smaller: r or g? r Let y = -4.14 + 4.04. Let u = -113 + -31. Is y greater than u? True Suppose -4*n - 8 = 4*w - 0*n, 5*n + 17 = 2*w. Suppose 0 = -2*i + 2*k + 3358, 0 = -28*i + 27*i + 5*k + 1691. Let v = i + -73741/44. Is w at most as big as v? False Suppose -26*v + 443 - 172 + 561 = 0. Is v smaller than -46? False Let q be (-3)/(1 + 2) - -4*79. Let p = -2861/9 + q. Let c = 12 - 11. Is p <= c? True Let y = -621 - 214. Let t = y - -818.26. Let n = -0.26 + t. Is 0 < n? False Let j = -262432 + 3449668636/13145. Is j at most as big as -1? False Let f be -25 + -2 - (2 + -1). Suppose -4*p - 116 = 4*b - 3*b, b - 3*p + 88 = 0. Let m = b - -72. Are f and m nonequal? False Let f = -9 - -19. Let g = -138.8 + 18.8. Let r = -120 - g. Which is smaller: r or f? r Let f = -70.35 - -221.36. Let u = f + -151. Does u = -5? False Suppose 7*m - 150 = 13*m. Suppose -p = 5*w + 4*p - 50, 3*w + p - 34 = 0. Let z(j) = -j**3 + 13*j**2 - 15*j + 11. Let v be z(w). Is v bigger than m? False Let k be (4/(-18) - (-50)/225)/(1 - 3). Does -20208 = k? False Suppose -86*h = 128*h + 66*h + 9520. Which is greater: h or 22? 22 Let l = 7771.1 - 7775. Is l at least -30? True Let l = -2803443 + 1132594975/404. Let v = l - 16/101. Let q = -619 + 629. Is v at most as big as q? True Let v = -6537 - -6540. Let z be (3 + -2)/(17/(-2)). Which is bigger: v or z? v Suppose -96*m = -113*m - 1394. Are m and -404/5 unequal? True Let s(x) be the second derivative of -7*x**3/6 + 15*x**2/2 - 186*x. Let k be s(2). Which is bigger: 6 or k? 6 Let i = -6503/4 + 57911/36. Let y = -13 + -3. Is i greater than y? False Let v = -6135 - -6141. Let k = 17 + -35. Let w be (v/(-7))/(k/126). Which is bigger: w or 23/4? w Suppose 2 = -c - 5*h, c + h - 1 = -3. Let q be ((-3)/6)/((-4)/(-56)). Let t(l) = l**3 + 7*l**2 + l + 4. Let a be t(q). Which is smaller: a or c? a Let h be 0 + 0/(-4) - (-2 + 45). Let z = 44 + h. Let x be (-2 + z)/((-618)/(-12)). Which is bigger: 1 or x? 1 Suppose c + 3*z - 1468 = 1035, 0 = -4*c + 8*z + 10052. Do c and 2509 have the same value? True Let d(i) = 2*i**3 - 24*i + 84. Let w be d(8). Let u = -906 + w. Is 1 greater than u? False Suppose -288 = 35*x - 27*x. Let v be (0 + 5)/(4*9/x). Let t(j) = -5*j - 26. Let p be t(v). Is p smaller than -5/22? True Let l = 78249 + -41941449/536. Let d = -2721/268 + l. Is -11 at most as big as d? True Suppose -26*j + 29*j = -249. Let p = -88 - j. Suppose 4*d = 0, 4*d + 3 = 3*f + 15. Is p smaller than f? True Let n(y) = y**3 - 11*y**2 + 9*y + 10. Let f(c) = -2*c + 31. Let o be f(5). Let h = -11 + o. Let d be n(h). Which is bigger: d or -4/29? d Let c = 223 - 56. Suppose 0 = 5*j - 7*j + 5*m - c, -5*j = -4*m + 392. Is -77 less than or equal to j? True Suppose 7 = 2*n + 29. Suppose 43*z + 14 = 36*z. Let o be z + -2 - (10 - 8). Is o <= n? False Let f = -7872 + 7859. Is f greater than or equal to 156? False Let u(z) = z**3 - 2*z**2 - 7. Let j be u(3). Suppose j*d - 2 = -8. Let p be d/(-21) - 78/(-1218). Which is bigger: p or -1? p Let m(w) = 39*w**2 + 8*w - 5. Let k be m(4). Let d be ((-2)/3)/(84/k). Which is greater: -5 or d? -5 Suppose 0 = -2*m + 4*f + 20, 4*m + 10 = -4*f + 2*f. Suppose m*b + 30 = -6*b. Do -6 and b have the same value? False Let g = 17.3 + -17.284. Suppose -2*d + 4*d = 24. Let f be ((-3)/(-2))/(45/d). Which is greater: g or f? f Let u = -2 - -4. Let q be -1 + u + -8 + 19. Suppose -4*v + v + 2*h = -4, 4*v + 4*h - q = 0. Are v and 3 unequal? True Let c = -453.626 - -0.626. Let g = -436 - c. Which is bigger: 2 or g? g Let r = -2/8777 + -16540/4449939. Do 1 and r have the same value? False Let l = 0.05999 + 0.03001. Which is smaller: 88/3 or l? l Let z = 4479 + -4484. Which is smaller: -20/11 or z? z Let j = 12 - 11. Suppose -t + g + 39 = 0, t - 39 = -12*g + 10*g. Let n be (-3)/t*(-2)/4. Is n at most as big as j? True Suppose -3*v - 842 = -n + 483, -4*v - n - 1769 = 0. Let a = -637 - v. Is -195 at most as big as a? True Let n = 49.118 + -0.118. Let o = n - 48.979. Let s = o + -35.021. Is 0 >= s? True Let y be (-13593)/(-105) + 3 + 1748/95 + -19. Which is bigger: 131 or y? y Let d = -51925/6 + 8726. Which is bigger: 72 or d? 72 Let z = -23590 + 16449. Is -7141 >= z? True Let o be ((-12)/5 + 2)*(-530 - -10). Let g = o + -84. Does 123 = g? False Let b = -840 + 832. Let u be (-24)/b + 105/(-34). Which is bigger: u or 0? 0 Let d(j) = 3*j**2 - j - 16. Let v be d(0). Let h be 111/12 + (12/v)/3. Which is smaller: 8 or h? 8 Let n = 218 - 217. Let w be (-2*(-104)/(-48))/(n/(-18)). Let y(k) = k**3 - 4*k**2 - 10*k + 2. Let f be y(7). Which is smaller: w or f? w Let o = 557 - 545. Let k be -4 - 801/(-54) - (-2)/o. Is 13 less than or equal to k? False Let c be (216/1890)/(4/14) - (-166)/(-40). Is 26/9 less than or equal to c? False Let t = 0.08 - 12.08. Let w(g) = g + 15. Let n be w(-11). Let o be ((-2)/n)/((-30)/4 + 6). Is t < o? True Suppose -27378 = -138*v + 1993 + 7475. Let i(c) = -c**3 + 14*c**2 - 5*c + 8. Let a be i(6). Is a <= v? True Let a(j) = -j**3 + 9*j**2 - 9*j + 8. Let g be -4 + (-3)/(-7 - -4). Let c be 3/((-45)/40)*g. Let o be a(c). Which is greater: o or -2? o Let a be (6/(12/(-242)))/(-4). Let l = -31 + a. Let d = -6.7 + 6.3. Which is smaller: d or l? l Let k(r) = 7*r + 53. Let w be k(-14). Let d = 45 + w. Is 7 not equal to d? True Let u = 16105/7049 + 1/1007. Let k be 5 + (2 - 3 - 2). Which is bigger: k or u? u Let l = -6 - -8/3. Let w = -6/109 - -1022/2725. Let b = w + 9/50. Which is smaller: b or l? l Let b = 2/10465 + 11792/47814585. Which is bigger: b or 1? 1 Let q be 7/(-1) + ((-1456)/65)/(-8). Let h be (2 - 1) + 9/(-3). Let x = h - 1. Which is bigger: q or x? x Let d = -781 + 36709/47. Which is smaller: d or 5/6? d Let q be (-10)/(-4)*(-6 - -4). Let t(g) = -2*g**2 - 6*g + 3. Let j be t(q). Suppose -80 - 64 = 8*n. Are n and j equal? False Let p = -556.14 + 786.17. Let l = 230 - p. Is -1 greater than l? False Suppose -9821 = -c - 9389. Which is bigger: c or 433? 433 Let q = 3012 + -2965. Let o = 53 - 98. Let z = o + q. Is z > -11? True Let z = -5 - -3. Let k = -141 + 179. Suppose 7*t - k = -3. Is t less than or equal to z? False Let s(g) = -3*g**2 - 64*g - 707. Let n be s(-68). Is -10227 > n? False Suppose 2*l = 2*g + 264, 3*g - 9*l + 10*l = -372. Are g and -132 non-equal? True Let c(i) = i**3 - 12*i**2 + 17*i + 1. Let q = 6 + 1. Let a be c(q). Is a less than -125? False Let v = 105 + -109.7. Let j = v + -18.3. Let r = 25 + j. Which is smaller: r or 12? r Let u be -8 - 97*(-6)/(-30). Let t = 136/5 + u. Which is bigger: 254 or t? 254 Suppose -10*g - 103 = -113*g. Is -2/5505 > g? False Suppose 4*l - 30 = -34, 5*l + 1195 = 5*t. Are t and -6/17 equal? False Let h = 66 + -65.8. Let t = 27 - 23. Let p be 64/(-296)*(-1)/t. Which is smaller: h or p? p Suppose 146*m - 131*m - 11880 = 0. Let j be (10/50)/(0 + m/(-10)). Do -2 and j have the same value? False Let i be 49761/(-342)*16/6. Is i bigger than -1160/3? False Let r be 1706/4 - (-9)/(-18). Suppose 0 = -4*t - 0*t - 3*u - 425, -4*t - 2*u - r = 0. Which is bigger: t or -106? -106 Let u = -68 + 69. Let i = -1 + u. Let o = 1.1 - 1.086. Is i at least o? False Suppose 0 = 5*v - 2*w - 29 - 13, 5 = v + 3*w. Let a be 2/v - (-63)/36. Suppose a*g = 3*z + 151, -4*g + 2*g = z - 131. Is 68 at most g? True Let j = 120 - 106. Let w = j - 15.2. Let s be ((-3)/(-9))/((-14)/12). Which is smaller: s or w? w Let y(r) = -2*r**3 + 12*r**2 - 2*r + 11. Let l be y(6). Which is greater: l or -1/395? -1/395 Let y = -1119 - -2056. Let b = -771 + y. Is b not equal to 1/2? True Let s = 645 - 645.0527. Let k = s + 0.052. Which is smaller: k or 1? k Let z(k) = 3*k**3 + 2*k**2 - 1. Let d be z(1). Let b(q) = 2*q**2 + 18*q + 40. Let v be b(-7). Let p be 2/(-3) + 8/v. Which is bigger: p or d? d Let z = -152.9 - -147. Let m = -1.05 - -0.987. Let p = m + -0.037. Is p greater than or equal to z? True Let f be 411647/132770 + 29/(-290) + -3. Is f at most 1? True Let s be (-6)/(-208) + (-27)/6 + 791/182. Which is bigger: -68 or s? s Let n = 1.19 + 536.81. Let l = n - 538. Is -19 at most l? True Suppose -5*w = 2*o + 36349, 0 = 35*o - 43*o - 56. Is -7266 at least w? True Let c = 418 - 192. Let o = c - 225.97. Let b = 0.7 +
{ "pile_set_name": "DM Mathematics" }
r a. -5 Suppose -s = 4*g + 15 + 26, -4*s - 20 = 0. Let b = g + 12. Solve b = -2*l + 5*l for l. 1 Let o(j) = -2*j**3 - j**2 + 2*j - 1. Let f = 3 - 2. Let d be o(f). Let u be (-9)/d + (-1)/2. Solve -u*y = -2*y + 10 for y. -5 Suppose 33*s - 36*s = 0. Solve s*y + 4 = -2*y for y. -2 Suppose 2 = 4*p - 3*p. Solve -2 - 2 = -p*r for r. 2 Let i = 5 - -2. Solve -2*a - 1 + i = 0 for a. 3 Suppose 5*c - 4*l - 21 = -l, -10 = 5*l. Solve c*b - 5 = 2*b for b. 5 Suppose 3*f = 11 + 4. Suppose 24*b = 7*b. Solve b = f*n - 4 - 1 for n. 1 Let p(x) = 5*x**2 + 4*x - 4*x**2 - 3*x - 2*x + 4. Suppose j = 5*d - 1, -5*j + 0 = -2*d + 5. Let s be p(d). Solve -s*i = i for i. 0 Suppose -4*u + 17 = 5*x, -5*x = u - x - 7. Let r = 2 - u. Let z be (2 + r)*(6 - 3). Solve 0 = d - z*d + 10 for d. 5 Let x be (2/(-2))/((-4)/12). Suppose -34 = 2*l - x*a, 3*l + 31 = -5*a - 58. Let c = 33 + l. Solve 4*r = 2*r + c for r. 5 Let y = 124 - 119. Solve -5 = -0*r - y*r for r. 1 Suppose -4 = k + 5*z - 17, 5*k = -4*z + 23. Suppose 0 = l + 4*l. Suppose 0 = -4*s - x - x + 4, 4 = 2*s + 2*x. Solve l = -c - k - s for c. -3 Let v = -23 + 23. Solve -3*n + 6 = -v for n. 2 Suppose 7*u - 3*u + 76 = 0. Let s = u + 28. Suppose 0 = 2*f - f - s. Solve -2*n - n = f for n. -3 Let w = 15 - 10. Suppose -w*y - 40 = -10*y. Solve s = -3*s + y for s. 2 Let g = -13 + 32. Solve 5*i - 4 = -g for i. -3 Suppose w - 1 + 0 = 0. Suppose 5*j - 18 = 4*i, -5*i - 7 = -j + 5. Let q be (j/6)/((-1)/(-3)). Solve -q = -r + w for r. 2 Suppose 4*o - 9 - 9 = -2*l, -13 = -4*o - l. Solve 0 = j + o*j - 3 for j. 1 Let x = 1 - -2. Let a(z) = -z**2 - z**3 - 1 - 5*z**2 + 6*z + 0*z**x. Let b be a(-7). Solve b*c = c for c. 0 Suppose -z + 1 = -5*y, -4 = 4*y + z - 5. Solve y + 5 = f for f. 5 Let j = 8 + -5. Suppose -4*o = 8, 3*z = j*o + 91 - 1. Let n be (-8)/z - 60/(-14). Solve -r - n = -5*r for r. 1 Let s(j) = -5*j - 21. Let p be s(-6). Solve -2*q + p - 1 = 0 for q. 4 Suppose s = -s - 8. Let x = 11 - s. Solve 2*u - 5 = -x for u. -5 Suppose 4*m - 4*o - 36 = 0, 2*m + 3 = 3*m + o. Solve v + v = m for v. 3 Let q(l) = l**2 + 5*l + 3. Let i be q(-3). Let m be -3 + (-1 - -4 - 0). Let w = m - i. Solve 0 = -v - w*v + 20 for v. 5 Suppose -5*m + 4*r + 62 = 0, -35 = -5*m - r + 12. Solve 6 = 4*t - m for t. 4 Let m be (-8)/2*(-9)/36. Solve x + 1 = -m for x. -2 Suppose -h + 0*j = 3*j + 7, -3*j = 3*h + 51. Let d(p) = -p**3 + 8*p**2 - 2*p + 3. Let m be d(8). Let s = m - h. Solve 5*u = -4 + s for u. 1 Let w(d) = d**2 - 5*d - 9. Let h be w(7). Solve 0*t = h*t - 20 for t. 4 Let k = 3 + -1. Solve f - 4 = k*f for f. -4 Let a be 4*1 - (-3 - -5). Let q(j) = -7*j + a*j + 2*j + 2*j - 1. Let c be q(-3). Solve -c - 10 = 3*o for o. -4 Let a = -29 - -41. Let f be 90/25 + (-2)/(-5). Suppose 4*r - y + 15 = -4*y, -5*r - 10 = 2*y. Solve -a = -r*b - f*b for b. 3 Let x(f) = -f**2 - 3*f - 1. Suppose -3*o = 2*d + 9 + 10, -2*d + 16 = -4*o. Let r be x(d). Let j be ((1 - 0)*0)/r. Solve j = m + 5 - 2 for m. -3 Suppose 4*f + 4*n + 3 = -5, -3*n - 6 = -4*f. Suppose f = 2*c + 1 - 9. Suppose -3*y + c*m + 2 = -5*y, 0 = -2*y - m + 1. Solve -3*j - y = -7 for j. 2 Let v = 34 + -14. Suppose 7*s - 3*s = v. Solve s*r + 2 = -3 for r. -1 Let b(a) = -a**3 - 6*a**2 + 16*a + 12. Let c be b(-8). Solve q = -3*q + c for q. 3 Let m = -15 + 15. Solve m = 2*a + 8 + 2 for a. -5 Let m be (34/2 - 4) + -5. Solve m = 3*l - 1 for l. 3 Let u be (24/(-10))/(32/(-80)). Solve 0 = -0*o + 2*o - u for o. 3 Let p = -8 - -5. Let a(l) = l**3 - l**2 - 4*l - 4. Let x be a(p). Let c be x/(-5) - (-4)/10. Solve g + c = -g for g. -3 Let y(r) = -7*r**3 + 2*r**2 + 2*r + 1. Let u be y(-1). Let w(h) = h**3 + h**2 - h. Let p be w(0). Solve p*v = 4*v - u for v. 2 Let q(v) = v + 4. Let d be q(4). Let s be ((-8)/(-6))/((-4)/(-6)). Suppose 5*t - 3*z = -s + 11, 3*t - 7 = z. Solve d = -t*p + 17 for p. 3 Let w = 147 - 147. Solve -3 = -k - w for k. 3 Let u be 39/4 + 1/4. Let r(i) = -i**3 + 3. Let k be r(0). Suppose -3*h + 6*v - v - u = 0, -4 = k*h - 2*v. Solve 2*f = -h*f for f. 0 Let g = -80 + 82. Solve 4*u + 6 = g for u. -1 Suppose 2*l - 5 = 2*b - 1, 5*b = 2*l + 11. Let q = 11 - l. Solve -d = q*d + 20 for d. -4 Let y be (-388)/(-16) - 2/8. Let j be 45/y - 3/(-24). Solve j*u = u - 1 for u. -1 Let v be 6/(3/2 - 0). Solve -v*w = w for w. 0 Let v = 16 + -7. Let h be -1*3 - (4 - v). Solve j = -h*j - 3 for j. -1 Let i(f) = -f + 1 + 0*f - 4. Let t be i(-6). Solve -t*k - 2 = -8 for k. 2 Let g(j) = j**2 - 6*j + 5. Let k be (4/(-3))/((-20)/210). Let h be 22/77 + 66/k. Let n be g(h). Solve n*q = 3*q - 15 for q. 5 Let t(i) = 22*i - 1. Let l be t(1). Let v be 57/l - 8/(-28). Solve -v*z - 20 = 2*z for z. -4 Let q = -11 - -16. Let b = -3 + q. Solve -b*c - 6 = c for c. -2 Suppose i - 4*r = 12, 2*i - 17 + 3 = 3*r. Let y(u) = 2*u + 5. Let v(f) = 6*f + 16. Let n(d) = -4*v(d) + 11*y(d). Let k be n(-6). Solve -p - i = -k*p for p. 2 Let u(v) = v**3 + 11*v**2 - 12*v + 1. Let o be u(-12). Let j be (2 + 0)*(2 - o). Suppose 3*x + x = 0. Solve x = -j*p + 4 + 2 for p. 3 Let u = 69 + -64. Solve -u*b + 17 = 2 for b. 3 Let p(l) = l**3 + 4*l**2 - 11*l + 6. Let i be p(-6). Solve -s - 2 = -i*s for s. -2 Let l(x) = x**2 - 3*x + 2. Let t be l(2). Suppose t = 3*r - 2*r + 3. Let c be (-2)/(-2) - (r - -1). Solve -u = c*u for u. 0 Suppose -3 = x - 2*x. Suppose -5*j = o - 31, -x*o - j + 6 = -17. Solve -o = i - 3*i for i. 3 Suppose -2*i + 1 = -2*l + 3*l, -l + 4*i = -7. Solve l = -4*o - 1 for o. -1 Let i(r) = r**2 + 10*r - 2. Let d be ((-55)/15)/((-1)/(-3)). Let k be i(d). Solve a + k = 4*a for a. 3 Let a = 9 + -8. Let i be (-1 - -7)*a/2. Solve -d = -i + 2 for d. 1 Suppose 0 = -4*l + 20 - 8. Solve 3 = l*u - 6 for u. 3 Suppose -3*s + 45 = 2*s. Solve 3*d + 0 + s = 0 for d. -3 Let k = 14 + -9. Solve -6 = k*c - 31 for c. 5 Suppose -3 + 0 = -3*u. Suppose 6 = -2*m + 4*q - 0, 4*m = -5*q + 1. Let j = m + u. Solve -r - 4 = -j*r for r. -4 Let k be 5/10 + (-53)/(-2). Suppose 5*r - 3*o - 3 = o, -k = -5*r - 4*o. Suppose 0 = -r*w + 3, -2*f - 2 + 9 = -w. Solve g + f = -g for g. -2 Let l(d) = d**2 + 10*d + 12. Let h be l(-9). Solve h*j = -j + 8 for j. 2 Suppose 3*b - 20 = -2*b + s, 5*b = -s + 10. Solve b*v - v = 0 for v. 0 Let t = -35 + 55. Suppose t = 3*g + 2*g. Solve g*s - 6 - 2 = 0 for s. 2 Let o = 12 + -10. Let i be (-14)/(-35) - o/5. Solve -p - p = i for p. 0 Suppose 0 = 40*g - 35*g - 5. Solve 2*c = -g - 9 for c. -5 Suppose -4*g - 3*a = 6, 0*g + 5*g + 8 = -4*a. Solve g*b + 1 = b for b. 1 Let o be (-10)/4*4/(-10)*4. Solve -10 = o*z + 2 for z. -3 Let f be ((-25)/125)/((-2)/20). Let s = -2 + 12. Solve s = -0*x - f*x for x. -5 Let c = -21 - -22. Solve -c = 3*p - 7 for p. 2 Let a = -65 - -67. Solve -7 + 15 = -a*i for i. -4 Let q(v) = v**3 + 9*v**2 + 7*v - 11. Let p be q(-8). Let s be p + 10*(-2)/(-4). Suppose s*o - 16 = -2*o. Solve 5*l - 3*l = o for l. 2 Let c be ((-4)/10)/((-1)/(-5)). Let g = 5 + c. Suppose -g*r = -6 - 0. Solve -r*h + h + 5 = 0 for h. 5 Suppose -3*w + 5*u - 11 = 0, -4*u - 2 = -3*w - 9. Suppose -36 = -0*l - w*l. Let g = l - 6. Solve 5*v + g = 2*v for v. -2 Let p(c) = c - 5. Let j(u) = -u**2 + 8*u - 4. Let i be j(6). Let v be p(i). Solve 5*y - 10 = v*y for y. 5 Let d(q) = q - 15. Let j be d(17). Suppose j*f = f. Solve k = -f - 1 for k. -1 Let f = 30 - 18. Let y(g) = -2*g + 12 + 2*g - g. Let t be y(f). Solve -3*i + 0*i + 6 = t for i. 2 Suppose -7*u - 3*o = -2*u + 33, 0 = -3*u + 5*o - 47. Let k = -4 - u. Let i = 5 - k. Solve i = -5*l + 5 for l. 1 Let s(r) = r**3 - 9*r**2 - 11*r + 10. Let l be s(10). Solve -n - n + 8 = l for n. 4 Let x = 6 - 0. Let m be (x*1)/(6/3). Suppose 0*b = 2*a - 5*b - 28, 3*b = -m*a. Solve -a*p + 0*p + 12 = 0 for p. 3 Suppose -2*a + 2*l = 2, -3*l + 8 = 4*a - 4*l. Solve -a*r = -7 - 5 for r. 4 Suppose 0 = 3*z + 2*d - 14, 0 = z - 2*d - 3 - 7. Let o(i) = i + 2. Let j be o(2). Suppose 9*m = 4*n + j*m - 15, 15 = 5*n - 5*m. Solve -z*v + v = n for v. 0 Suppose q = 5*n - 42, -6*n - 4*q + 21 = -5*n. Let i = 6 + -3. Let x(c) = c**3 + 3*c**2 - 11*c - 5. Let p be x(-5). Solve -i*a = -p*a + n for a. -3 Let i be (10 + (2 - 2))*2. Solve -i + 4 = 4*s for s. -4 Let r = 1 + -2. Let k be ((-3)/r)/((-4)/(-4)). Suppose k*b - 10 = 20. Solve -3*d + b = -d for d. 5 Let a(o) = -o**2 + 2*o - o**3 - 2 + o + 2*o**2. Let q be a(2). Suppose -v - v = q. Solve v = g - 5*g - 12 for g. -3 Let t be
{ "pile_set_name": "DM Mathematics" }
= -677 + 681. What is v(l)? 19 Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6). -5 Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)? -7 Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12). Determine s(v). 5 Let r(c) = -15*c**2 + 3*c + 24 + 20*c**2 - c**3 - 15*c**2. Determine r(-10). -6 Let i(d) = 1 + d**2 + 5*d + 4 + 1. Suppose z - 10 = 10. Let l = 15 - z. Determine i(l). 6 Let v(n) be the first derivative of n**2/2 - 7*n - 1. Suppose -30*z + 3*g + 7 = -29*z, -5*g + 15 = z. Give v(z). 3 Let a = -13 - -13. Let n(g) = 2*g - g**3 + a*g**3 + g**2 + g**2 - g**2. Let y(k) = k**2 + 5*k + 6. Let o be y(-4). Determine n(o). 0 Let w(y) = y**2 + 5*y - 2. Let h(a) = a - 6. Let f be h(14). Suppose f*d = -47 + 7. Calculate w(d). -2 Let l(p) = -p**3 - 7*p**2 - 6*p - 3. Let j be l(-6). Let q = 7 - 5. Let f(u) = 2*u + 4 + 2*u + 2*u**2 + u**2 - q*u**2. What is f(j)? 1 Let x be (-2)/4*20/10. Let d(p) = 10*p**3 + 2*p**2 - 3*p - 4. Let t be d(x). Let b(k) = -k**3 - 9*k**2 + k - 11. What is b(t)? -20 Suppose 5*y - d = -25, -4*y + 8*y = 3*d - 31. Let a(r) = 2*r**2 - 3*r + 4. Determine a(y). 48 Let l(n) = -45*n**2 - n**3 + 2 + 1 + 19*n**2 + 3*n**3 + 28*n**2. Determine l(-3). -33 Suppose 8 = -2*r + y - 2*y, 0 = y + 4. Let p(h) = -2*h + 1. Calculate p(r). 5 Let h(u) = 11*u**2 + 11 - 10 - 2*u - 9*u**2 + 3*u + u. Let s(g) = 2*g - 2. Let x be s(6). Suppose 4*a = -a - x. Calculate h(a). 5 Let t(d) = -d + d**2 + 632*d**3 - 1266*d**3 - 1 + 632*d**3. What is t(2)? -15 Suppose v + 4*v + 15 = 0. Let b(q) be the second derivative of q**5/20 + q**4/6 - q**3/2 - 2*q**2 - 3*q. Determine b(v). -4 Let v(n) = 41*n + 24. Let i(u) = 8*u + 5. Let k(j) = 11*i(j) - 2*v(j). Let z(c) = c + 1. Let b(r) = 6*k(r) - 34*z(r). What is b(-6)? -4 Let b(n) be the first derivative of -n**3/6 + 3*n**2/2 + 2*n - 30. Let c(a) be the first derivative of b(a). What is c(8)? -5 Let j(d) = -3*d**2 - 3*d + 3. Let p = 58 + -57. Suppose 5*b - 14 = -2*v, 3*v + 4 + p = -b. What is j(v)? -15 Let g be ((-72)/60)/((-7)/(-10) - 1). Suppose g*p - 46 = -5*r, -2*r + 2*p + 32 = r. Let k(s) = s**2 - 9*s - 4. Give k(r). 6 Let u = 480 - 487. Let m(p) = 2*p + 16. Determine m(u). 2 Let j(z) = 21*z + 4. Let v(y) = 16*y + 6. Let g(i) = 3*j(i) - 4*v(i). Determine g(-4). -8 Let v be 28/(-6)*42/(-49). Let z be (2 + -5 + v)/(-1). Let f(a) = -11*a**3 - a**2 + a + 1. Determine f(z). 10 Suppose -d = -0*d. Let f(a) = -9 + 2 + d*a + a. Let t(g) = -g + 6. Let p be t(0). Give f(p). -1 Suppose 0 = -0*y + 3*y - 12. Suppose -m - 12 = -5*i, m = -y + 2. Let t(r) = -2*r**i + 0 - r**3 + 5*r**3 + 4*r**3 + 1. Give t(-1). -9 Let z = -312 + 310. Let f(a) = -4*a - 1. Give f(z). 7 Suppose 2*a + 2 - 6 = 0. Let n = a + -1. Let r(f) = 3*f + 2*f + n - 2*f. Calculate r(-3). -8 Let b(y) = -2*y - 1. Let f be -561*3*4/(-36). Suppose -182 + f = -i. Give b(i). 9 Let r(a) = a**2 - a + 25. Let h be r(0). Suppose -3*c - h = -8*c. Let w(k) = -k**3 + 3 - c*k**2 + 5 + 12*k - 3*k. Determine w(-6). -10 Let m be (1 - 36/48) + (-7)/(-4). Let q(r) = 5*r**3 + r**2 - 3*r + 2. Give q(m). 40 Let b(h) = 5*h**3 + 20*h**2 - 3*h - 20. Let j(k) = -2*k**3 - 7*k**2 + k + 7. Let y(q) = -6*b(q) - 17*j(q). Let c be 9/18*(2 + -4). Calculate y(c). -5 Let b(j) be the second derivative of -j**3/6 + 9*j**2/2 - 47*j - 2. Suppose -7 - 2 = -3*g. Let l = -3 + g. Calculate b(l). 9 Let q(o) be the third derivative of -1/6*o**3 + o**2 + 0*o + 1/24*o**4 + 0. Determine q(-6). -7 Let v(c) = -6*c. Let q be v(1). Let y(b) = 7*b**2 - 2*b + 5 + b**3 - 13*b + 8*b + 12*b. Calculate y(q). 11 Let m(t) = -8 - 5 - 7*t - 7 + 25. Let z be m(1). Let b(k) = -2*k + 2. Give b(z). 6 Let i = 26 - 36. Let g = 12 + i. Let r(q) = 0*q**g - 1 + q + q**2 + 2*q + 2. What is r(-2)? -1 Let j(p) = -2*p**2 - 3*p + 1 + p**2 + 4*p. Let q(v) be the first derivative of v**4/4 + 6*v**3 + 31*v**2/2 - 13*v + 3. Let i be q(-16). What is j(i)? -5 Let i(z) be the first derivative of 0*z**2 - 19 + 1/4*z**4 + 4/3*z**3 - z. Give i(-3). 8 Let n(o) = 3*o + 2. Suppose 2*m - 16 = -2*q + 3*m, -5*m - 38 = -3*q. Let s be (32/q + -5)/(2/(-12)). Determine n(s). -4 Let o(n) be the first derivative of 2*n**4 + 2*n**3/3 - n**2 + n + 2. Suppose 0 = y + 3, 8 = -7*t + 3*t - 4*y. What is o(t)? 9 Let r(a) = 6*a - 6. Let k(q) = 7*q - 7. Let p(g) = -5*k(g) + 6*r(g). Suppose -13 = z - 5*n + 3*n, 0 = -2*z - 2*n - 2. Determine p(z). -6 Suppose 0 = 8*z - 13*z + 765. Let h(n) = 150*n - z*n + 0 + 6. Determine h(6). -12 Let b(d) be the third derivative of d**4/24 - 7*d**3/6 - d**2. Let f(g) = 44*g - 38. Let p be f(1). Determine b(p). -1 Let v(k) be the third derivative of k**4/6 + 2*k**3/3 + 187*k**2. Determine v(6). 28 Let g(f) = -16*f**2 + 4*f - 9. Suppose b - 2*z = -15, -13 + 3 = -5*z. Let y(t) = -3*t**2 + t - 2. Let n(k) = b*y(k) + 2*g(k). What is n(3)? 4 Suppose 2*c = -3*y + 33, 2*y - c + 4*c - 27 = 0. Let f(s) = s. Determine f(y). 9 Let l(o) be the second derivative of -o**7/2520 - 2*o**4 - 18*o. Let b(t) be the third derivative of l(t). Calculate b(1). -1 Let c(p) = p**2 + 13. Let k = -106 + 106. Determine c(k). 13 Let i(n) = -n**2 + 9*n. Let a = 728 - 721. Calculate i(a). 14 Let g(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2/2 + 3*m - 1. Let i be (0 + 1)*(3 + -1)/((-74)/(-185)). Calculate g(i). -7 Let d = 5 - 4. Let s(n) be the second derivative of -n**3/2 + n**2/2 + 9*n. Determine s(d). -2 Let h(i) = -i - 4. Let y = 17 + -1. Let v = y - 12. Give h(v). -8 Let j(r) = 13 + 15*r + 12 - 27*r + 13*r. Give j(-18). 7 Let p(g) = -65*g - g**2 - 60*g + 3*g**2 + 124*g. Give p(-1). 3 Suppose -2*z = i - 17, -2*i - 22 - 34 = -5*z. Let w(j) = -j**2 + 11*j - 6. Determine w(z). 4 Let z(u) be the first derivative of 3*u**2/2 + 6*u - 6. Let v(r) = 31 + 12*r + 9*r - 7*r + 2*r. Let f(j) = -4*v(j) + 22*z(j). Calculate f(-6). -4 Suppose 2*c - 5*l - 13 = 0, -4*l + 0*l = -12. Let d = -5 + c. Let x(y) = 3*y - 7*y + d*y**2 + 1 + y + y. What is x(1)? 8 Let c be 2*(0 + 10 - 0). Suppose b = -4*f + c, 0 = f + b - 2. Let d(t) = -6*t + 4*t**2 - f + 0*t**2 - 5*t**2. Calculate d(-5). -1 Suppose r - 5 = 4*s - 15, -19 = -2*r - 5*s. Let t(x) = -x**3 + x - 1. Give t(r). -7 Let j(m) = m**2 - 5*m + 2. Let f be j(5). Let r(n) be the first derivative of 8*n**2 + 67. Let a(t) = -3*t. Let i(b) = f*r(b) + 11*a(b). Determine i(-6). 6 Let j = -257 - -244. Let m(o) = o**2 + 13*o + 18. What is m(j)? 18 Let a(k) be the second derivative of -k**5/20 + k**4/2 + 5*k**3/6 - k**2 + 28*k + 2. Calculate a(7). -16 Suppose -g = -3*g - 4. Let l be 18/(-18) - (g + 4). Let f(t) = 8*t - 2. Give f(l). -26 Let j(s) = -2*s**2 + 9*s - 13. Let g(u) = u**2 - 8*u + 14. Let v(w) = 3*g(w) + 2*j(w). Calculate v(-8). 0 Let l(d) = d**3 + 8*d**2 + 5*d - 9. Let b = -25 + 18. Let k be l(b). Let s(z) = -z - 2. Let f(i) = -5*i + 3. Let n(p) = -f(p) + 4*s(p). Calculate n(k). -6 Let q(j) = j**2 + 3*j + 4. Let l be q(-3). Suppose -b + l*b = 3. Let v(r) = 10*r**2 - r + 8*r**3 - 4*r**2 + r**2 - 6*r**2. What is v(b)? 8 Let r be (3/2)/((-3)/(-2)). Let n(c) = -10*c. Determine n(r). -10 Suppose 0 = 2*j - 5 - 1. Let k(f) = 2*f**3 - 2*f - 4*f**2 - 8 + 2 - 3*f**j. Suppose -41 = 5*z - 3*a, -4*z + 0*z + 4*a - 44 = 0. Calculate k(z). 2 Let k(p) be the second derivative of p**5/10 + p**4/12 - p**2 + 387*p. Let l = 0 + -2. Determine k(l). -14 Let o(r) be the third derivative of r**4/6 + r**3 + 21*r**2. Let f(n) = 3*n + 5. Let u(d) = 3*f(d) - 2*o(d). Calculate u(-6). -3 Suppose -4*x = -7*x. Suppose x = 5*d - 17 + 2. Let f(n) = -d*n + 4*n - n**2 - 1 + 12*n**3 + 0 - 4*n**3. Determine f(1). 7 Let o(x) = -3*x**2 + 3 - 10*x**2 - 6*x + x**2 + 11*x**2. Determine o(-7). -4 Let p(f) = -f**3 - f**2 - 3*f - 4. Let x(l) = l**2. Let k(v) = p(v) + 6*x(v). Let j = 101 - 50. Let w = j - 47. What is k(w)? 0 Suppose -5*c + 9 = 3*o + 34, -2*c - 2*o = 10. Let z(r) = 49*r - 27*r - 12 - 21*r + 10. What is z(c)? -7 Let v(p) = 9*p**2 + 25 - 7*p + 7*p - 24. Let j be 2 + 0 - (16 - 15). Determine v(j). 10 Let b(i) = -2*i**3 - 30*i**2 - 26*i + 24. Let q be b(-14). Let m(o) = 3*o + 12. What is m(q)? 0 Let b(k) be the third derivative of k**4/8 - k**3/6 - 13*k**2. Give b(-1). -4 Suppose 193*c = 188*c - 15. Let k(i) = -i**2 - 2*i + 4. Giv
{ "pile_set_name": "DM Mathematics" }
**3 - o**p wrt o? -60*o**2 Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n? 96*n Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first derivative of u(r) wrt r? -1 What is the third derivative of 22 - 3*b**6 - 22 - 4*b**2 wrt b? -360*b**3 Find the second derivative of 10*v + 54 - 54 - 30*v + 28*v**2 wrt v. 56 Suppose 7 = 4*t - 13. Let k be 3*4/30*t. What is the second derivative of 5*v - v**2 - v + 0*v**k - 2*v wrt v? -2 Let r(o) be the first derivative of -5 - 3 + 3*o - o**2 + 6. Find the first derivative of r(c) wrt c. -2 What is the first derivative of 15*c**4 + 8 - 4 + 1 wrt c? 60*c**3 Let g(l) = -15*l + 14. Let z(n) = 7*n - 7. Let j(r) = -2*g(r) - 5*z(r). What is the first derivative of j(t) wrt t? -5 Find the first derivative of 2 + 11*f**3 - 4*f**3 - f**3 - 11 wrt f. 18*f**2 Find the second derivative of 2*g**5 + 4*g**5 - g + 4*g**5 - 11*g**5 wrt g. -20*g**3 Let u(r) be the first derivative of -5/2*r**2 + 0*r**3 - 7 + 0*r + 7/4*r**4. Find the second derivative of u(j) wrt j. 42*j Let l(u) = -u - 1. Let b(j) = -4*j - 9. Let a(h) = -b(h) + 5*l(h). Let f(o) = 3. Let k(q) = -2*a(q) + 3*f(q). Find the first derivative of k(x) wrt x. 2 Find the second derivative of 9*d - 3*d + d**2 + 3*d + 0*d wrt d. 2 Find the second derivative of 29*c**4 - 29*c**4 + 7*c**5 + 8*c wrt c. 140*c**3 Suppose 4*b = -b - 30. Let k(l) = -10*l**4 - 4. Let z(u) = 9*u**4 + 3. Let c(f) = b*k(f) - 7*z(f). What is the derivative of c(y) wrt y? -12*y**3 Let z(i) = i. Let x(v) = -6*v. Let t(c) = 5*c - 1. Let a(r) = 2*t(r) + 3*x(r). Let q(p) = -a(p) - 5*z(p). Differentiate q(u) with respect to u. 3 Differentiate 178*o + 13*o**4 + 12 - 178*o with respect to o. 52*o**3 Suppose 4*a = -j - 1 + 2, 4*j - 4*a = 24. Let v = 5 - 2. Differentiate b**4 + 1 - v*b**4 - 3 + j*b**4 with respect to b. 12*b**3 Let f(p) = 19*p**2 + 9. Let c(u) = 9*u**2 + 4. Let n(a) = -5*c(a) + 2*f(a). What is the derivative of n(v) wrt v? -14*v Suppose 0 = 2*m + 2*m - 8. What is the first derivative of -2*v + 6*v**m - 2 + 1 + 2*v wrt v? 12*v Suppose 2*z - 24 - 4 = 0. Suppose -2*d - 2*k = -z, -13 = 3*d - 4*d - 4*k. Find the second derivative of d*y**2 - 3*y**5 - 2*y - 3*y**2 - 2*y**2 wrt y. -60*y**3 What is the third derivative of 5*x**2 + 0*x**2 - 2*x**5 - x**2 + x**5 wrt x? -60*x**2 Let g(v) be the second derivative of 3*v + 0*v**2 + 1/6*v**4 + 0 + 1/6*v**3. Find the second derivative of g(n) wrt n. 4 Let x(m) = m + 3. Let a(n) = 3*n + 8. Let d(i) = 6*a(i) - 17*x(i). What is the first derivative of d(l) wrt l? 1 What is the first derivative of -2 + 0 + 3 + 2*g wrt g? 2 Let u be 3/3 + -1 + 4. Find the third derivative of c**u - 3*c**2 + c**2 + 3*c**2 - 6*c**2 wrt c. 24*c Suppose 0 = 8*h - 4*h - 32. What is the derivative of 3*u**2 - h + 4 + 4*u**2 wrt u? 14*u Let z = 3 - 0. What is the second derivative of 25 + z*a - 25 - 2*a**5 wrt a? -40*a**3 What is the third derivative of l**4 + l**4 - 4*l**4 + 11*l**2 - 2*l**4 wrt l? -96*l Let n(v) be the first derivative of v**7/70 + v**3 - 2*v**2 + 10. Let p(y) be the second derivative of n(y). Differentiate p(m) wrt m. 12*m**3 Let p(w) be the first derivative of w**2 - w**2 + 2*w**4 - 3*w + 4 - 2*w. What is the first derivative of p(b) wrt b? 24*b**2 Let w(z) = -z**3 + 4*z**2 - 2*z - 1. Let l be w(3). Find the third derivative of 3*k**5 - k**5 + 5*k**l - 2*k**2 wrt k. 120*k**2 Suppose -m + 14 = 2*m - 4*p, -29 = 2*m + 5*p. Let n be -2 - m/(4/10). What is the derivative of -2*k**2 - n*k**2 + 2*k**2 - 3 + 0*k**2 wrt k? -6*k Let d(t) be the second derivative of -t**6/6 + 5*t**2/2 - 13*t. Differentiate d(b) with respect to b. -20*b**3 Let z(w) = -4*w**3 - 3*w**2 + 6. Let t(s) = s**2 + 1. Let d(f) = -3*t(f) - z(f). What is the derivative of d(l) wrt l? 12*l**2 Let i(q) = -q**5 - q**4 - q. Let j(u) = 16*u**6 - 3*u**5 - 3*u**4 - 14*u**2 - 3*u. Let v(f) = 3*i(f) - j(f). Find the third derivative of v(m) wrt m. -1920*m**3 Find the third derivative of -3*t**3 + 11*t**3 + 13*t**3 - 4*t**2 - 33*t**2 wrt t. 126 Suppose -2*y + 10 = 3*y. Suppose y*p - 1 = 5. Find the third derivative of -2*i**2 + p*i**4 + 3*i**2 - 4*i**4 wrt i. -24*i Let c(d) be the second derivative of 2*d**6/15 + 7*d**3/6 + 27*d**2/2 + 6*d. What is the first derivative of c(v) wrt v? 16*v**3 + 7 Let d = 26 - 22. Differentiate 1 - m**d + 6 - 2*m**4 wrt m. -12*m**3 Let z(x) be the third derivative of 3*x**7/70 + x**3 + 8*x**2. What is the first derivative of z(k) wrt k? 36*k**3 Let n be 10/(-3)*(-1 - 2). Suppose -2*i - 2 = -n. What is the third derivative of g**4 + 3*g**2 - 2*g**2 + g**i wrt g? 48*g Let b(s) be the third derivative of 0*s**3 - 1/24*s**4 + 0 + 2*s**2 - 1/20*s**5 + 0*s. What is the second derivative of b(y) wrt y? -6 Let j(r) = -104*r**4 + 44*r**2 - 120*r + 44. Let z(b) = -7*b**4 + 3*b**2 - 8*b + 3. Let k(x) = 6*j(x) - 88*z(x). Find the second derivative of k(y) wrt y. -96*y**2 Let t(p) be the third derivative of 17*p**7/210 - 53*p**3/6 - 63*p**2. What is the first derivative of t(l) wrt l? 68*l**3 Differentiate 23*z**2 - 4 - 14 + 5 + 5 with respect to z. 46*z Let n = 5 + -2. What is the third derivative of n*d**5 + 4*d**5 + 11*d**6 + 7*d**2 - 7*d**5 wrt d? 1320*d**3 Let b(w) be the second derivative of 0 + 0*w**2 + 3*w + 1/3*w**3 - 5/12*w**4. Find the second derivative of b(u) wrt u. -10 Find the third derivative of -48*r**6 - 10*r**2 + 40*r**2 + 34*r**6 wrt r. -1680*r**3 Suppose -20 = -2*j - 8. Let u(k) = -k**2 + 1. Let z(m) = -2*m**2 + 9. Let f(b) = j*u(b) - z(b). Find the first derivative of f(w) wrt w. -8*w Let o(z) be the first derivative of 3*z**5/20 - z**3/3 + z + 1. Let g(p) be the first derivative of o(p). Find the second derivative of g(a) wrt a. 18*a Differentiate 20 + 14*b - 2*b + 5*b - 3*b wrt b. 14 Suppose -5*p + 2*t = -5, 6*p - 3*t - 3 = 3*p. Differentiate -p - 10*h**2 + 6*h**3 + 10*h**2 - 2*h**3 with respect to h. 12*h**2 Let c(x) be the first derivative of -x**7/14 + x**4/3 - 3*x + 2. Let v(m) be the first derivative of c(m). What is the third derivative of v(k) wrt k? -180*k**2 Suppose -3*j + 1 = 5*r + 3, 2*r + 12 = -4*j. Differentiate -3*y**2 - 6 + 0*y**r - 3*y**2 + 2*y**2 wrt y. -8*y Let v(z) = 3*z**3 + 10*z**2 - 23*z + 1. Let l(r) = -r**3 - 5*r**2 + 11*r - 1. Let k(b) = 5*l(b) + 2*v(b). What is the second derivative of k(x) wrt x? 6*x - 10 What is the third derivative of -8*r**6 + 48*r**2 + 42*r**6 + 213*r**5 - 213*r**5 wrt r? 4080*r**3 What is the second derivative of -2*w - 12*w**3 - 14*w + 5*w wrt w? -72*w Find the third derivative of -6*k**6 + 4*k**2 - 8*k**6 + k**6 + 4*k**2 wrt k. -1560*k**3 Let j(b) be the third derivative of 3*b**6/40 + 11*b**5/60 - 7*b**2. What is the third derivative of j(s) wrt s? 54 Let m(y) be the third derivative of 0*y**6 + 0*y + 0*y**4 + 0*y**3 - 2*y**2 + 0 + 1/210*y**7 - 1/60*y**5. What is the third derivative of m(u) wrt u? 24*u Let d(t) = -5*t**3 + 53*t**2 + 11*t + 11. Let g(r) = -2*r**3 + 18*r**2 + 4*r + 4. Let i(y) = -4*d(y) + 11*g(y). Find the third derivative of i(v) wrt v. -12 Let a(z) be the third derivative of -7*z**5/20 - 10*z**3/3 - 7*z**2. Differentiate a(u) wrt u. -42*u Let h(c) = -c**2 + 1. Let u(g) = 2 - g + g**2 - 2*g**2 - 1 - g**3. Let a(q) = 3*h(q) - 3*u(q). Find the second derivative of a(s) wrt s. 18*s Find the second derivative of -20*k**2 - 80*k + 38*k - 10*k wrt k. -40 Let x(r) be the third derivative of r**6/60 - r**4/4 - 7*r**2. Find the second derivative of x(m) wrt m. 12*m Suppose 7 = 2*h - 1. Find the second derivative of -2*l - l + h*l - 4*l**2 wrt l. -8 Let w(i) = 36*i**4 + 5*i**3 - 5*i**2 + 5*i - 26. Let p(o) = -o**4 - o**3 + o**2 - o. Let y(c) = 5*p(c) + w(c). Differentiate y(l) with respect to l. 124*l**3 Let v(q) = 4*q**3 - q**4 + 4*q**4 + 3*q**4 + 9. Let u(z) = 17*z**4 + 11*z**3 + 26. Let a(m) = 4*u(m) - 11*v(m). Find the first derivative of a(n) wrt n. 8*n**3 Let j(v) = 29*v**2 - 22*v + 5. Let r(n) = -30*n**2 + 23*n - 6. Let x(k) = 6*j(k) + 5*r(k). Find the second derivative of x(t) wrt t. 48 Let c(u) be the second derivative of -9*u**6/10 + 23*u**3/6 - 64*u + 2. Find the second derivative of c(r) wrt r. -324*r**2 Let j be 2/(-8) +
{ "pile_set_name": "DM Mathematics" }
241 What comes next: 1845, 3108, 4587, 6288, 8217, 10380, 12783? 15432 What comes next: -2971568, -2971569, -2971570, -2971571, -2971572, -2971573? -2971574 What is the next term in 3266414, 3266266, 3266120, 3265976, 3265834? 3265694 What comes next: 10939, 3644, -3653, -10952? -18253 What is next in 22398, 22338, 22232, 22074, 21858, 21578? 21228 What is the next term in -59578, -237888, -534930, -950704, -1485210, -2138448, -2910418? -3801120 What comes next: -29189, -116658, -262439, -466532? -728937 What comes next: -1289919, -1289911, -1289901, -1289889? -1289875 What is next in 602, 970, 1670, 2774, 4354? 6482 What comes next: -3090782, -6181567, -9272352, -12363137, -15453922, -18544707? -21635492 What is the next term in -49319, -99477, -149631, -199781, -249927, -300069, -350207? -400341 What is the next term in -2582, -2046, -618, 2140, 6666, 13398? 22774 What comes next: -461, -94, 1081, 3046, 5783, 9274? 13501 What comes next: -452, -626, -1020, -1670, -2612? -3882 What is the next term in 150528366, 150528372, 150528382, 150528396? 150528414 What is next in 295, 4419, 11293, 20917, 33291, 48415, 66289? 86913 What comes next: 24431, 23632, 22835, 22040, 21247? 20456 What is next in -102989, -205992, -308995? -411998 What comes next: -7744, -28702, -63626, -112510, -175348, -252134, -342862, -447526? -566120 What is next in -3204967, -6409941, -9614913, -12819883, -16024851? -19229817 What is the next term in -626, -4315, -14240, -33491, -65158, -112331, -178100? -265555 What is next in -1246, -2493, -3762, -5053, -6366, -7701, -9058? -10437 What is the next term in -13298, -53426, -120386, -214178? -334802 What comes next: -1499, -3148, -4795, -6434, -8059? -9664 What is the next term in -14333, -16026, -17719, -19412, -21105? -22798 What is the next term in 302947, 1211725, 2726351, 4846831, 7573171, 10905377, 14843455? 19387411 What is the next term in 73796, 295147, 664064, 1180547? 1844596 What is the next term in -401074, -802264, -1203456, -1604650, -2005846, -2407044? -2808244 What is the next term in 1545, 3080, 4559, 5964, 7277, 8480, 9555, 10484? 11249 What comes next: -7299, -13263, -19227? -25191 What comes next: -424519, -850109, -1275699, -1701289, -2126879, -2552469? -2978059 What is the next term in -186690, -374619, -562542, -750453, -938346, -1126215, -1314054? -1501857 What is next in -2481, -19380, -65283, -154704, -302157? -522156 What is next in -550, -2255, -5048, -8893, -13754? -19595 What comes next: 7198432, 14396861, 21595292, 28793725? 35992160 What is the next term in 11890, 23666, 35440, 47212, 58982? 70750 What comes next: -115604, -115514, -115450, -115406, -115376, -115354? -115334 What is next in 3196503, 3196504, 3196505? 3196506 What is next in -19264, -37113, -53566, -68623, -82284, -94549? -105418 What is the next term in 4207, 3860, 3513, 3166, 2819, 2472? 2125 What is next in 469928, 939852, 1409750, 1879616, 2349444, 2819228? 3288962 What is next in -10461, -10981, -11421, -11787, -12085, -12321, -12501, -12631? -12717 What is next in -181194, -182155, -183116, -184077, -185038? -185999 What comes next: 1546572, 12372525, 41757248, 98980125, 193320540? 334057877 What is the next term in -404, -2144, -5230, -9662? -15440 What is the next term in -5621, -22449, -50477, -89699, -140109, -201701, -274469? -358407 What comes next: 26103, 45382, 64661? 83940 What comes next: -59107, -56023, -52939, -49855? -46771 What is the next term in -57, -553, -1325, -2373, -3697, -5297, -7173? -9325 What comes next: 2793, 2966, 3257, 3666? 4193 What is the next term in -1510, -11182, -27270, -49774? -78694 What comes next: 16153, 16302, 16451, 16600, 16749? 16898 What comes next: 15168977, 15168979, 15168981, 15168983, 15168985, 15168987? 15168989 What is next in -121, 243, 1215, 3095, 6183? 10779 What comes next: 120504, 120125, 119490, 118599, 117452, 116049, 114390? 112475 What is the next term in 1817204, 1817199, 1817206, 1817231, 1817280, 1817359, 1817474? 1817631 What is next in -520, -1992, -4424, -7822, -12192? -17540 What is next in 2544, 63, -6678, -19809, -41460, -73761, -118842? -178833 What is next in -1179493, -2358987, -3538481, -4717975? -5897469 What is the next term in -22291, -24948, -29361, -35536, -43479, -53196? -64693 What is the next term in 465653, 931297, 1396941, 1862585? 2328229 What is the next term in 562150, 1124302, 1686454? 2248606 What is the next term in 31377, 28706, 26035, 23364? 20693 What comes next: 30535, 61551, 92567, 123583? 154599 What is the next term in 2966, 23834, 80468, 190748, 372554? 643766 What comes next: 8825, 17512, 26199? 34886 What is next in 455099336, 910198674, 1365298012? 1820397350 What is next in -2422251, -2422277, -2422327, -2422413, -2422547? -2422741 What is next in 8936420, 17872842, 26809270, 35745704, 44682144, 53618590? 62555042 What is the next term in 30245, 30263, 30283, 30305, 30329, 30355? 30383 What comes next: -485146, -1940610, -4366384, -7762468, -12128862, -17465566, -23772580? -31049904 What is the next term in 2532983, 5065943, 7598903, 10131863, 12664823? 15197783 What comes next: 3040, 2993, 2914, 2803, 2660, 2485, 2278? 2039 What comes next: 22343, 44589, 66849, 89123, 111411? 133713 What is next in 325469, 1299849, 2923807, 5197337, 8120433, 11693089, 15915299? 20787057 What is next in -1983, -938, 97, 1122, 2137? 3142 What comes next: -40449734, -40449636, -40449536, -40449434, -40449330, -40449224, -40449116? -40449006 What is the next term in 1763, 5103, 10621, 18311, 28167, 40183, 54353, 70671? 89131 What is the next term in 12023975, 12023960, 12023935, 12023900, 12023855? 12023800 What is next in -186724, -185998, -185272, -184546? -183820 What comes next: -6080409, -12160807, -18241207, -24321609, -30402013? -36482419 What is the next term in 7456, 7755, 8252, 8947, 9840, 10931, 12220? 13707 What is the next term in -2268740, -4537494, -6806248, -9075002? -11343756 What comes next: 25867, 98537, 218009, 384283, 597359, 857237, 1163917? 1517399 What is the next term in -5244, -42229, -142674, -338319, -660904, -1142169? -1813854 What comes next: -7312, -7228, -6992, -6526, -5752? -4592 What is the next term in -52237383, -52237374, -52237359, -52237338, -52237311, -52237278? -52237239 What comes next: -5616, -5577, -5528, -5469, -5400, -5321, -5232? -5133 What is next in -63809, -63801, -63793, -63785, -63777? -63769 What is next in -534643, -1069260, -1603879, -2138500, -2673123, -3207748? -3742375 What comes next: -88321, -88077, -87833, -87589? -87345 What is the next term in 522540, 522887, 523234, 523581, 523928, 524275? 524622 What comes next: -39289, -78584, -117875, -157162? -196445 What is the next term in -4485, -88, 4295, 8658, 12995, 17300? 21567 What comes next: 1804, 3760, 5826, 8002? 10288 What is next in 2806, 5511, 8102, 10579, 12942? 15191 What is next in -93539, -93531, -93523, -93515? -93507 What is the next term in 68442, 68448, 68456, 68466, 68478, 68492? 68508 What is the next term in 2333, 8188, 17953, 31628, 49213, 70708, 96113? 125428 What comes next: 115049431, 115049435, 115049439, 115049443, 115049447, 115049451? 115049455 What is the next term in -86490014, -172980027, -259470040? -345960053 What comes next: 71394, 68335, 63246, 56133, 47002, 35859, 22710? 7561 What is the next term in -44588, -89176, -133732, -178238, -222676, -267028, -311276? -355402 What is next in 226499, 906116, 2038811, 3624584? 5663435 What comes next: -17739, -34328, -50917, -67506? -84095 What is the next term in -1263, -1349, -1369, -1323, -1211, -1033? -789 What is the next term in -635264, -2541066, -5717404, -10164278, -15881688, -22869634, -31128116? -40657134 What is next in -486, -492, -318, 180, 1146, 2724, 5058? 8292 What is next in 4462722, 4462720, 4462718, 4462716? 4462714 What comes next: -32897, -32985, -33135, -33347, -33621? -33957 What is the next term in -856, -3988, -9212, -16528, -25936, -37436? -51028 What comes next: -850303, -3401319, -7653013, -13605385, -21258435? -30612163 What comes next: -45952, -183645, -413088, -734281, -1147224, -1651917? -2248360 What is next in -484603, -1938373, -4361323, -7753453? -12114763 What is the next term in 80114, 78911, 77708? 76505 What is nex
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when c is divided by n. 1 Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61. 9 Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)). 32 Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i? 11 Suppose -4*k - 4 = 48. Let d(u) = u**2 + 8*u - 16. Suppose 0 = 4*l + 3*q - 37, -5*l + 22 = -q - 29. Calculate the remainder when d(k) is divided by l. 9 Let k = 71 + -31. Let q be 2/(-3)*267 - -1*2. Calculate the remainder when k is divided by (q/56)/(-1 + 12/14). 18 Let p = 88 + -80. Calculate the remainder when 63 is divided by p. 7 Let h(x) = x**3 + 2*x**2 - x + 2. Let l be h(-3). Let c = l + 4. Suppose -j - 6 = -3*a, j = -2*a - c*a + 4. What is the remainder when a is divided by 1? 0 Suppose 4*j - 2*f = 10, -3*j + 3*f + 2*f = -11. What is the remainder when 10/6*(28 + j) is divided by 4 - 0/5 - -9? 11 Suppose -3*g - q = -0*q - 85, -2*q = g - 35. Suppose -8 = -4*s + 48. Calculate the remainder when g is divided by s. 13 Let l be (440/(-77))/((-4)/14). Suppose l + 25 = 3*f. Calculate the remainder when f is divided by 6. 3 Suppose 371 = 2*o - 5*z, -2*o + 5*z + 365 = 6*z. What is the remainder when o is divided by 46? 45 Suppose 31 + 0 = t. What is the remainder when (-3 - 77/(-21))/(3/234) is divided by t? 21 Let i = 536 - 520. Calculate the remainder when 73 is divided by i. 9 Suppose 1 + 7 = 2*b, 2*b = -5*h - 217. Let v = h + 127. Calculate the remainder when v is divided by 22. 16 Let t(y) = -y**2 - 7*y - 3. Let j be t(-3). Suppose 9*r = 18 - j. What is the remainder when r is divided by 1? 0 Calculate the remainder when 114 is divided by 1 + 0 - (-39 + 0 + 9). 21 Let y(t) = t**2 - 3*t - 26. What is the remainder when 90 is divided by y(-5)? 6 Suppose -l = 4*l + 15. Let a = l + 8. Let y = a + 2. Calculate the remainder when 24 is divided by y. 3 Suppose 26*s - 80 = 18*s. Calculate the remainder when 59 is divided by s. 9 Suppose -2*n + 64 = -5*v, -95 = -5*n - 3*v + 34. Calculate the remainder when 344 is divided by n. 20 Let f = 499 - 478. What is the remainder when 1112 is divided by f? 20 Let v = 14 + 2. Let w be (1 + 12 - 1) + -1. Let b = v - w. What is the remainder when b is divided by 2? 1 Suppose 105 = j + 4*j. Calculate the remainder when j/((-3)/9*-1) is divided by 8. 7 Let l(r) = -2*r**2 - 3*r + 2*r**2 + 6 + r + r**2. What is the remainder when 83 is divided by l(5)? 20 Let h = -19 - -21. Suppose -4*o + 13 = -b - 4, -2*b = h*o - 16. Let s = -5 + 10. Calculate the remainder when s is divided by b. 2 Let f = 10 - 7. Suppose 53 + 61 = f*v. What is the remainder when v is divided by 10? 8 Let a be -5*(0 - (-6)/(-5)). Let d = 19 + -17. Let y = a - d. What is the remainder when 10 is divided by y? 2 Let v(t) be the third derivative of 0*t + 1/6*t**3 + 0 + 0*t**4 - 3*t**2 + 1/12*t**5. What is the remainder when 10 is divided by v(-1)? 4 What is the remainder when (-2 + 1)/1*(-132 + 108) is divided by 7? 3 Suppose -2*b - 6 + 38 = 2*c, 0 = -5*c + b + 74. What is the remainder when 131 is divided by c? 11 Suppose -305 = 3*j + 2*j. Let n = j - -120. What is the remainder when n is divided by 15? 14 Suppose 20*k - 346 - 454 = 0. Calculate the remainder when k is divided by 29. 11 Let n = 112 + -110. What is the remainder when 31 is divided by ((-21)/(-6) - 5) + 27/n? 7 Let k(i) = -i**3 + 8*i**2 - 3*i - 24. Let t be k(7). Suppose t*n - 38 - 82 = 0. Let g(r) = -12*r. What is the remainder when n is divided by g(-1)? 6 Let b(n) = -2 - 2*n**2 - n - 5*n**3 + 2*n + n**3. What is the remainder when b(-2) is divided by (-15)/10 + (-500)/(-40)? 9 Suppose 0*y - 3*y = -4*v + 38, 34 = 4*v - y. What is the remainder when 71 is divided by v? 7 Let v be -1 - -5 - (13 + -16). Suppose -3*y = -v - 56. Suppose z + 2 = 0, -z + 22 = 3*n - y. Calculate the remainder when 59 is divided by n. 14 Suppose 0*x = 2*x. Suppose -20 = -4*r - x. Calculate the remainder when 19 is divided by r. 4 Suppose -919 + 861 = -2*n. What is the remainder when 82 is divided by n? 24 Let i = -160 - -157. Suppose -5 - 7 = -3*d. What is the remainder when 8 is divided by d - (i - -3)/(-2)? 0 Let g = 839 - -58. What is the remainder when g is divided by 11? 6 Let q(b) = 26*b - 24. What is the remainder when q(3) is divided by 7? 5 Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. Suppose 4*b = 5*m + 174, -5*m + 38 + 64 = 2*b. What is the remainder when b is divided by t(-2)? 14 Suppose 2*q + 156 = 4*k, -k - k + 5*q + 86 = 0. Let y = -267 - -275. What is the remainder when k is divided by y? 6 Suppose 4*a - 3*t + 4*t = 198, 4*a - 206 = -5*t. Let o = a + -15. Calculate the remainder when o is divided by 12. 10 Let d be 40/15 - (2 - (-12)/(-9)). Suppose -d*h + 23 = -3. What is the remainder when 34 is divided by h? 8 Suppose -12*s = -16*s + 12. Suppose -4*j + 31 = s. What is the remainder when 13 is divided by j? 6 Let d(n) = -8*n**3 - 3*n**2 + n + 4. Let y(w) = 4*w + 14. Let b be y(-4). Calculate the remainder when d(b) is divided by 19. 16 Suppose 2*y = 2*r + 34, y + 3*r = -2 - 1. Let q be (-1581)/12 + (-1)/4. Calculate the remainder when ((-2)/(-6))/((-2)/q) is divided by y. 10 Suppose 3*i - 13 - 14 = 0. Let d = 15 + -9. What is the remainder when i is divided by d? 3 Calculate the remainder when 99 is divided by (((-231)/14)/11)/(3/(-40)). 19 Let x = 84 - 22. Let o = 87 - x. Calculate the remainder when o is divided by (21/(-6))/(-5*5/50). 4 Let g = 33 - 20. Let v = 38 - -29. What is the remainder when v is divided by -1 + g + (-6 - -4)? 7 Let t = -13 + 19. Let f(p) = 2*p + 24. Let q be f(-8). Calculate the remainder when q*(-6 + 3)/(-3) is divided by t. 2 Let j = -756 - -796. What is the remainder when 244 is divided by j? 4 Let w be (8 - 9) + (-3 - 0). What is the remainder when 134 is divided by (-9)/((1/w)/((-15)/(-20)))? 26 Let z be (3/2)/(5/10). Suppose z*b - 976 = -b. Suppose 5*i - i - b = 0. Calculate the remainder when i is divided by 16. 13 Let l(j) = 45*j**2 - 6*j - 2. What is the remainder when l(-1) is divided by 40? 9 Let p(t) = -3*t**2 + 7*t + 20. Let r be p(6). Let j = r - -86. What is the remainder when j is divided by 7? 5 Suppose 5*x + 4*k - k = 37, 0 = 5*x + 4*k - 41. Let n = 20 - x. Calculate the remainder when n is divided by 4. 3 Suppose 16 = -6*p + 88. Let m(z) = 2*z**2 - 19*z + 34. What is the remainder when m(p) is divided by 33? 28 Let x = -279 - -306. What is the remainder when x is divided by 25? 2 Let l be ((-21)/(-14))/(6/16). What is the remainder when 45 is divided by -1 + l/(7 + -3) - -10? 5 Let j = 967 + -586. What is the remainder when j is divided by 51? 24 Let a be 1 - 4 - (-3 - -1). Let t = -12 - -17. Calculate the remainder when a - (-5 + 3) - -5 is divided by t. 1 Suppose -10 = -l - 0*l. Calculate the remainder when (-7)/3*(-18)/3 is divided by 2/l - (-48)/10. 4 Calculate the remainder when 244/3*(-792)/(-96) is divided by 136. 127 Let b = 154 - 155. What is the remainder when b - 2 - 2/(-1) - -43 is divided by 15? 12 Let m = 40 - 76. Let b = 53 + m. Let n = 91 + -44. Calculate the remainder when n is divided by b. 13 Suppose 6*o - 1500 = -24*o. Calculate the remainder when o is divided by 15. 5 Let k = -1048 + 1219. Calculate the remainder when k is divided by 6. 3 Let k be 48 + -6 - (-1 - 0). Suppose -5*a = 2*q - 133 - k, 3*a - 5*q - 118 = 0. What is the remainder when 34 is divided by 1/((4/a)/1)? 7 Let k(v) = -38*v - 580. What is the remainder when 550 is divided by k(-20)? 10 Suppose -3 = k - b + 1, 2*b - 10 = 0. Suppose 1 = -l + 3. Calculate the remainder when l is divided by k. 0 Let n = 5 + 22. Let i = 58 - 6. Let t = i - n. Calculate the remainder when t is divided by 9. 7 Let x(b) = 2*b + 18. Suppose -5*y + 7*y + 24 = 0. Let k be x(y). Let t(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when 61 is divided by t(k)? 29 Let y(m) = -10*m + 5. Let w be y(-7). Let b = -41 + w. What is the remainder when b is divided by 12? 10 Suppose -3*v + 23 + 22 = 0. Suppose -b + 21 = 1. Let q = b - -22. What is the remainder when q is divided by v? 12 Suppose -5*n + 5*r + 1349 - 9 = 0, -r = 2. Suppose -5*k - n = -12*k. Calculate the remainder when k is divided by 14. 10 Suppose -311 = -5*w - 4*m, 3*w - 5*m + 68 = 225. Let z = -34 + w. What is th
{ "pile_set_name": "DM Mathematics" }
*sqrt(19) Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)). 30*sqrt(13) + 483 Simplify (2*sqrt(245)*-1)**2 + (-2 + sqrt(5) + 0)*5. 5*sqrt(5) + 970 Simplify 6*6*(sqrt(27))**2 + -2. 970 Simplify 5*(((-2*sqrt(132))/sqrt(12))**2 - sqrt(11)). -5*sqrt(11) + 220 Simplify sqrt(54)/sqrt(2) + sqrt(3)*-2*3 + sqrt(3) + 5. -2*sqrt(3) + 5 Simplify (sqrt(88) + (-5*(sqrt(88) + (sqrt(88) - sqrt(88)*1)) - sqrt(88)))/(3*sqrt(72) - sqrt(72)). -5*sqrt(11)/6 Simplify (-3*sqrt(152)*-2)/(sqrt(64)/(-1*sqrt(8))). -6*sqrt(19) Simplify (sqrt(1700) - (sqrt(1700) - -2*sqrt(1700)) - sqrt(17))*-6. 126*sqrt(17) Simplify -1*(sqrt(11) + -1 + sqrt(11)) + (sqrt(11) + 0 - sqrt(11))*-1. -2*sqrt(11) + 1 Simplify (sqrt(12)/sqrt(6) + -4)**2*5. -40*sqrt(2) + 90 Simplify 4*sqrt(833) + sqrt(833) + sqrt(102)/sqrt(6)*-4. 31*sqrt(17) Simplify (sqrt(77) + 3*1*sqrt(77))/(-4*sqrt(7)*1). -sqrt(11) Simplify (3*(sqrt(144)/sqrt(6))/sqrt(2))**2. 108 Simplify ((-3*sqrt(468) + sqrt(13) - sqrt(13)) + (2*sqrt(78))/sqrt(6))**2. 3328 Simplify (-6*(sqrt(2) + 2) + sqrt(2)*-3 + -1)**2. 234*sqrt(2) + 331 Simplify sqrt(160)/(sqrt(200) - sqrt(8)). sqrt(5)/2 Simplify (3*1*sqrt(91))/(sqrt(7) - sqrt(189)/sqrt(3)). -3*sqrt(13)/2 Simplify sqrt(147) + 2 + sqrt(147) + 0. 2 + 14*sqrt(3) Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2))*-4 + sqrt(2448) - sqrt(2448))**2. 192*sqrt(17) + 2512 Simplify 2 + (sqrt(68)/sqrt(4) + -4)**2 + (-1 + sqrt(2448) + 2)**2. 16*sqrt(17) + 2484 Simplify (sqrt(525) - sqrt(525)*2)/sqrt(3). -5*sqrt(7) Simplify -2*sqrt(275) + (sqrt(11) - (((3 + sqrt(11))*-2 - sqrt(11)) + sqrt(11) - sqrt(11))**2). -45*sqrt(11) - 135 Simplify (sqrt(475) + 1)**2 - (sqrt(19) + -2 + 5). 9*sqrt(19) + 473 Simplify (-3 + (-1 + sqrt(21)/sqrt(3) - (sqrt(7) - (0 + sqrt(7) + 4))))**2. 7 Simplify (5 + sqrt(33)/(sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3))))**2. 5*sqrt(3) + 103/4 Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0)**2) + -1)) + -2. -33*sqrt(3) + 362 Simplify -2*(sqrt(325))**2*-4. 2600 Simplify -2*(1*(sqrt(162) + ((sqrt(162) + 1)**2 - sqrt(162))) + sqrt(162)). -326 - 54*sqrt(2) Simplify (2 + 1 + sqrt(2) - (1 + sqrt(18)))**2. -8*sqrt(2) + 12 Simplify -5*((sqrt(7) + sqrt(56)/(sqrt(16)/sqrt(2)) + sqrt(7))**2 - sqrt(7))*-2. -10*sqrt(7) + 630 Simplify 2*(-1 + sqrt(288) + -1)*-1. -24*sqrt(2) + 4 Simplify -3*(sqrt(38)/sqrt(2)*4 - sqrt(304)*1). 0 Simplify (sqrt(55) - (sqrt(385)/sqrt(7)*3 + sqrt(55)))/sqrt(5)*2. -6*sqrt(11) Simplify (-1*sqrt(91)*2)/((sqrt(63)*-1)/sqrt(9)). 2*sqrt(13) Simplify sqrt(8)/(sqrt(4) + sqrt(8)/sqrt(2)) - (sqrt(288)*2)**2. -1152 + sqrt(2)/2 Simplify (3*-1*sqrt(143))/(sqrt(1331) + sqrt(1331) + sqrt(1331)*1). -sqrt(13)/11 Simplify 0 + sqrt(637) + (1*sqrt(637))**2*-4. -2548 + 7*sqrt(13) Simplify (2*sqrt(144))/(-1*sqrt(242))*-1. 12*sqrt(2)/11 Simplify (5 + sqrt(1088) + -2 + sqrt(1088) - (sqrt(1088)*2*-6 - sqrt(1088)))**2. 720*sqrt(17) + 244809 Simplify (2 + (sqrt(88)*-4 - sqrt(88))/sqrt(8))**2. -20*sqrt(11) + 279 Simplify 3*-2*((4*(sqrt(1088) + 1) + sqrt(1088))**2 - sqrt(1088)). -163296 - 1872*sqrt(17) Simplify (4 + (sqrt(19) - sqrt(114)/sqrt(6)*2))**2. -8*sqrt(19) + 35 Simplify 1 + (0 + sqrt(19)*2 - (-1*sqrt(114))/sqrt(6))**2 + -2. 170 Simplify (-2*sqrt(882))/(sqrt(18)/sqrt(3)*-4). 7*sqrt(3)/2 Simplify (sqrt(325) + sqrt(325) + (sqrt(325) - 1*sqrt(325)) + sqrt(325) + -3)**2. -90*sqrt(13) + 2934 Simplify 0 + (sqrt(80) + 0 + sqrt(80) + sqrt(80))**2 + sqrt(40)/sqrt(128). sqrt(5)/4 + 720 Simplify 3 + 2 + (sqrt(52)*-2)**2. 213 Simplify -2*sqrt(891)*4 + -4. -72*sqrt(11) - 4 Simplify (sqrt(63)/(sqrt(28)/sqrt(4)) - sqrt(9))/sqrt(3). 0 Simplify ((sqrt(400)*2)/sqrt(10))/sqrt(8). 2*sqrt(5) Simplify ((sqrt(57) - sqrt(57)*1*-1)/(sqrt(96)/sqrt(2)))**2. 19/4 Simplify -5*((sqrt(637) - (sqrt(637)*1)**2) + sqrt(637) - sqrt(13)). -65*sqrt(13) + 3185 Simplify 1 + sqrt(19) + sqrt(2736)*-2. -23*sqrt(19) + 1 Simplify (4 + 1*sqrt(5) + sqrt(5))*4. 16 + 8*sqrt(5) Simplify 3*(sqrt(147) - (-1*sqrt(147) + 0)). 42*sqrt(3) Simplify (1 + 2 + (sqrt(7) - (sqrt(28)/sqrt(4) + sqrt(7))) + (sqrt(252) + -1 - sqrt(252)))**2. -4*sqrt(7) + 11 Simplify ((sqrt(81) + sqrt(9))*3 + sqrt(9))/(sqrt(9)/sqrt(3)*5 - sqrt(3)). 13*sqrt(3)/4 Simplify 3*(sqrt(45) + (sqrt(45) - (sqrt(45) + 3)) + sqrt(45) + sqrt(45) + 2 + sqrt(5)). -3 + 30*sqrt(5) Simplify 4*(sqrt(252)*4)/(sqrt(9) + sqrt(18)/sqrt(8)). 64*sqrt(7)/3 Simplify ((sqrt(198) + -1*sqrt(198) + sqrt(198))*5)/sqrt(11). 15*sqrt(2) Simplify (-2*sqrt(2940))/(-1*sqrt(972) + sqrt(972) + sqrt(12)). -14*sqrt(5) Simplify (-3 + -1*sqrt(11) - sqrt(99)/(sqrt(18)/sqrt(2))) + -5. -8 - 2*sqrt(11) Simplify -5*-2*((sqrt(209) - (sqrt(209) + sqrt(209)*5))/sqrt(11) - sqrt(19)). -60*sqrt(19) Simplify -4*sqrt(156)/(4*sqrt(48)). -sqrt(13)/2 Simplify ((sqrt(187) - 1*sqrt(187))*1 - sqrt(187) - sqrt(187))/(-4*-2*sqrt(11)). -sqrt(17)/4 Simplify 1*sqrt(931)*-4. -28*sqrt(19) Simplify (4 + sqrt(17))*5 - (sqrt(153) + -5). 2*sqrt(17) + 25 Simplify (5*(sqrt(7) + -4 + -1))**2. -250*sqrt(7) + 800 Simplify sqrt(63)/(-6*sqrt(81)). -sqrt(7)/18 Simplify 4 + (-2*sqrt(1216))**2 + 2. 4870 Simplify ((sqrt(10) - sqrt(40)/sqrt(4))*-3)/(sqrt(405)*-1). 0 Simplify 5*(sqrt(117) + sqrt(117) + -2 + 0)**2. -120*sqrt(13) + 2360 Simplify (-2 + sqrt(190)/(sqrt(110)/sqrt(44) - sqrt(10)))*-5. 10 + 10*sqrt(19) Simplify sqrt(152)/(3*sqrt(200)). sqrt(19)/15 Simplify -1*((sqrt(48)*-2)/sqrt(12))/(sqrt(2) + sqrt(256)/sqrt(8)). 2*sqrt(2)/5 Simplify 2 + (-5 + sqrt(343))**2. -70*sqrt(7) + 370 Simplify 1 + sqrt(1100) - ((sqrt(132)*-3 + sqrt(132) + sqrt(132))/sqrt(12) + sqrt(11))**2. 1 + 10*sqrt(11) Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136)*-2)*-5))/(-3*sqrt(16)/sqrt(2)). sqrt(17) Simplify (-1 + sqrt(272))**2 - (5 + sqrt(170)/sqrt(10)). -9*sqrt(17) + 268 Simplify sqrt(2736) + sqrt(2736) + 6*(sqrt(2736) - (sqrt(2736) + -3)). 18 + 24*sqrt(19) Simplify ((sqrt(720)/(sqrt(12)*1) + sqrt(60))/((sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96))/sqrt(8) - sqrt(12)))**2. 20 Simplify -3 + 2 + sqrt(720) + 3. 2 + 12*sqrt(5) Simplify -4 + -5 + 5*sqrt(275) + sqrt(275). -9 + 30*sqrt(11) Simplify ((sqrt(119) + -2*sqrt(119))*3 + sqrt(119))/((sqrt(7) - sqrt(7)*-1)*-1). sqrt(17) Simplify (sqrt(9) + (sqrt(27)/sqrt(3) + sqrt(9))*-6 + sqrt(9))/(sqrt(75) + (sqrt(75) - ((-2*sqrt(75) - sqrt(75)) + sqrt(75))) - sqrt(75) - sqrt(75) - sqrt(75)). -2*sqrt(3) Simplify (2 + sqrt(98))*-4 + 3. -28*sqrt(2) - 5 Simplify (0 + sqrt(847) + sqrt(847))**2 + sqrt(847) + ((1*sqrt(84) + sqrt(84))/sqrt(12))**2. 11*sqrt(7) + 3416 Simplify 4 + (sqrt(1700) + 1 + 3)**2. 80*sqrt(17) + 1720 Simplify ((1*sqrt(567))/(sqrt(9) - (sqrt(9) + 5*(sqrt(9) - sqrt(36)))))**2. 63/25 Simplify sqrt(7) + (4*(-1 + sqrt(7)))**2 + -3. -31*sqrt(7) + 125 Simplify -3*((sqrt(6300)*1)**2 + 2). -18906 Simplify 3*(1*sqrt(144))/(-2*sqrt(72)). -3*sqrt(2)/2 Simplify (sqrt(128) + 1 + sqrt(128))**2. 32*sqrt(2) + 513 Simplify (sqrt(6)/(sqrt(3)*2))**2 + (sqrt(2) + 0 + -1)**2. -2*sqrt(2) + 7/2 Simplify (sqrt(7) - 2*(sqrt(7) + 1))**2 + 0 + sqrt(700). 11 + 14*sqrt(7) Simplify sqrt(17) + (4 + sqrt(68) + sqrt(17))**2 - ((1 + sqrt(17))*-3)**2. 7 + 7*sqrt(17) Simplify (((sqrt(170) + (sqrt(170)*-1 + sqrt(170) - sqrt(170)))*4)/(2*sqrt(40)/sqrt(4)))**2. 0 Simplify ((3*sqrt(425))**2 + sqrt(425))*6. 30*sqrt(17) + 22950 Simplify -5 + sqrt(343) + sqrt(7) + (sqrt(7) - (4 + sqrt(28)) - sqrt(7)). -9 + 6*sqrt(7) Simplify (5*(-1*sqrt(187) + sqrt(187)))/(sqrt(11)*-1*1). 0 Simplify (-2*sqrt(243)*4)**2 + (4 + (sqrt(243) + 0 - sqrt(243) - sqrt(243) - sqrt(243)))**2. -144*sqrt(3) + 16540 Simplify sqrt(500) - 3*(sqrt(500) + 2 + sqrt(500))**2. -6012 - 230*sqrt(5) Simplify ((sqrt(190)*3 + sqrt(190))*-2)/sqrt(10). -8*sqrt(19) Simplify sqrt(288) + (sqrt(288)*-5 + sqrt(288))**2 - (sqrt(242) + -1). sqrt(2) + 4609 Simplify (-2 + sqrt(125) + 5)**2. 30*sqrt(5) + 134 Simplify 2*sqrt(30)/(sqrt(40)/sqrt(4)). 2*sqrt(3) Simplify 0 + -2*(sqrt(51)/sqrt(3) + sqrt(17)). -4*sqrt(17) Simplify 5*(sqrt(52) - sqrt(208)) - (sqrt(156)/((sqrt(96)*-1)/sqrt(8) - sqrt(12)))**2. -10*sqrt(13) - 13/4 Simplify (sqrt(57)/(-1*sqrt(3)) - (sqrt(19) - (sqrt(95) - -1*sqrt(95))/sqrt(5) - sqrt(19))) + -5. -5 + sqrt(19) Simplify 2*sqrt(28) - (sqrt(70)*3)/sqrt(10). sqrt(7) Simplify (sqrt(200) + -1 + 0)**2 + -5*(1 + sqrt(2
{ "pile_set_name": "DM Mathematics" }
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s). 2*s**2*(s - 2)**2*(s - 1) Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g? -1, 0, 1 Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4. -2*c*(c - 1)*(c + 1)**2/7 Suppose 0 = 5*f - 6 + 61. Let h be 12/4 - f/(-5). Solve h - 14/5*o**3 - 24/5*o**2 - 6/5*o = 0 for o. -1, 2/7 Suppose 2*j = -10, 5*j = -5*z - 9 - 1. Let h(c) be the third derivative of 0*c**4 - 1/120*c**6 + z*c**2 + 0 - 1/60*c**5 + 0*c + 0*c**3. Factor h(r). -r**2*(r + 1) Let a be (4 + -4)/(-2 - -1). Suppose a = -f - 0*f - 5, 4*f + 28 = 4*p. What is g in -1/2*g**4 + 1/2*g**p - 1/2*g**5 - g + 0 + 3/2*g**3 = 0? -2, -1, 0, 1 Let c(a) be the third derivative of -a**5/20 - a**4/2 + 5*a**3/2 + 3*a**2. Solve c(i) = 0 for i. -5, 1 Let x(u) be the first derivative of -4 - 3/4*u**4 + 6*u + 3/10*u**5 + 3*u**2 - 3/2*u**3. Find a such that x(a) = 0. -1, 2 Let w(p) = -p**2 + 2*p + 5. Let j be w(4). Let u be (7 + j)/(-1 - -2). Factor -10*n**u + 0*n + 14*n**3 - 4*n**2 + 0*n. -2*n**2*(n - 1)*(5*n - 2) Let j(o) be the second derivative of -7*o**6/15 - 9*o**5/5 - 10*o**4/7 - 8*o**3/21 + 40*o. Factor j(a). -2*a*(a + 2)*(7*a + 2)**2/7 Let u(a) be the second derivative of 2*a**6/105 + 3*a**5/35 + 13*a**4/84 + a**3/7 + a**2/14 - 7*a. Suppose u(b) = 0. Calculate b. -1, -1/2 Suppose 13*x = 18*x - 15. Let n(f) be the first derivative of -x + 0*f - 1/4*f**4 + 0*f**2 + 2/3*f**3. Solve n(o) = 0 for o. 0, 2 Let m = 2 + -6. Let p be (-2 + 0 + 1)*m. Factor -2*j**p - 2*j**3 + 0*j**3 - 3*j**4. -j**3*(5*j + 2) Let v be (-10)/(-6) + 3/9. Suppose 4*n - 8 - 16 = 0. Determine p so that 0*p**3 - 3*p**4 + 2*p - v*p**3 - 5*p**2 - n*p**5 + 14*p**4 = 0. -2/3, 0, 1/2, 1 Let w(l) = l**4 - 7*l**3 - 3*l**2 + 7*l - 6. Let x(v) = 7*v**3 + 3*v**2 - 7*v + 7. Suppose 0 = -2*i + i + 4. Let n(s) = i*x(s) + 5*w(s). Factor n(o). (o - 1)**2*(o + 1)*(5*o - 2) Let l be (7/(-3) + 2)*10/(-35). Let i(n) be the third derivative of -5/84*n**4 + 0*n + 5*n**2 + 0 - 1/30*n**5 + l*n**3. Solve i(u) = 0. -1, 2/7 Let x(j) = -11*j**3 + 10*j**2 - 2*j. Let n(m) = -54*m**3 + 50*m**2 - 10*m. Let c(q) = -3*n(q) + 14*x(q). Solve c(k) = 0. 0, 1/4, 1 Let i = 6 - 5. Suppose i - 2*v + v**3 - v**4 + 4*v + 0*v**4 - 3*v**3 = 0. What is v? -1, 1 Let l(z) = z + 9. Let k = 1 + -8. Let c be l(k). Let -40/9*i**5 - 16/3*i**3 + 4/9*i + 0 - 2/9*i**c + 86/9*i**4 = 0. Calculate i. -1/4, 0, 2/5, 1 Let j(h) be the third derivative of -h**8/560 - 4*h**7/525 - h**6/100 + h**4/120 - 2*h**2. Solve j(n) = 0 for n. -1, 0, 1/3 Let v(q) be the second derivative of q**4/18 - q**3/9 + 6*q. Find h such that v(h) = 0. 0, 1 Let h be 8/3*(-18)/(-8). Let r(l) be the third derivative of 0*l**3 + 0 + 1/12*l**4 + 2/15*l**5 - l**2 + 1/10*l**h + 4/105*l**7 + 0*l + 1/168*l**8. Factor r(y). 2*y*(y + 1)**4 Let u(l) be the third derivative of 0*l**5 + 2*l**2 + 0*l + 0 + 0*l**3 + 0*l**6 + 0*l**4 - 1/630*l**7. Suppose u(t) = 0. What is t? 0 Let d = 3225/11 - 293. Factor d*c**2 - 2/11*c + 0. 2*c*(c - 1)/11 Let g(m) = 5*m**4 - 4*m**3 + 5*m**2 + 3. Let s(w) = 15*w**4 - 13*w**3 + 14*w**2 + 8. Let b(j) = -8*g(j) + 3*s(j). Factor b(a). a**2*(a - 1)*(5*a - 2) Let c be 1/((-3)/(-2) - 1). Let w be 3/(-2 + 24/3). Factor 0*d + w*d**c + d**3 + 1/2*d**4 + 0. d**2*(d + 1)**2/2 Factor 10/7*q**3 + 1/7*q**5 + 5/7*q - 5/7*q**4 - 10/7*q**2 - 1/7. (q - 1)**5/7 Let y(w) = -8*w**2 + 28*w - 22. Let h(x) = -x**2 + 4*x - 3. Let a(g) = 44*h(g) - 6*y(g). Factor a(s). 4*s*(s + 2) Let x(s) = -s**3 + 3*s - 1. Let h be x(2). Let p be (1/(-9))/(h/18). Find q such that p*q + 2*q**2 - 2/3*q**4 - 4/3 - 2/3*q**3 = 0. -2, -1, 1 Factor 28*x**2 + 20*x**3 - 32*x**3 + 6*x - 7*x**2. -3*x*(x - 2)*(4*x + 1) Let g(o) be the second derivative of 16*o**7/189 - 8*o**6/135 - 23*o**5/90 + 7*o**4/54 + 7*o**3/27 + o**2/9 + 32*o. Determine a so that g(a) = 0. -1, -1/4, 1 Let f(a) = -2*a**5 - 38*a**4 + 42*a**3 - 18*a**2. Let t(l) = l**5 + 13*l**4 - 14*l**3 + 6*l**2. Let m(u) = -3*f(u) - 8*t(u). Factor m(n). -2*n**2*(n - 3)*(n - 1)**2 Let b be -2 + 42/12 + 0. Factor 1 + 1/2*x**2 + b*x. (x + 1)*(x + 2)/2 Let u(z) = z + 16. Let v be u(-10). Suppose 0 = -2*y - 4*b + v + 14, -5*y + b = 5. Factor -1/2*a**3 + a**2 + y - 1/2*a. -a*(a - 1)**2/2 Let f(i) = -i**2 - i + 1. Let w(a) = -a**4 + a**2 + 3*a + 8. Let x(u) = u**2 - 4*u - 1. Let n be x(-3). Let k(t) = n*f(t) - 4*w(t). Factor k(o). 4*(o - 3)*(o + 1)**3 Solve -4/3*d - 4/3 + 4/3*d**2 + 4/3*d**3 = 0 for d. -1, 1 Let b(c) = c**3 - 43*c**2 - 187*c - 256. Let w = 25 - 31. Let s(x) = -2*x**3 + 42*x**2 + 186*x + 256. Let m(y) = w*b(y) - 5*s(y). Find p, given that m(p) = 0. -4 Suppose 6*w - 2*w = 0. Suppose w = t + 4*t. Factor t*u**2 - 4/9*u**3 + 0 + 2/9*u + 2/9*u**5 + 0*u**4. 2*u*(u - 1)**2*(u + 1)**2/9 Let i(r) be the first derivative of -r**8/9240 - r**7/4620 - 4*r**3/3 + 8. Let p(f) be the third derivative of i(f). Factor p(g). -2*g**3*(g + 1)/11 Let j be (-4)/(-6) - (-7)/3. Let l be 1 - ((-12)/j)/(-12). Solve -l*f + 10*f**2 - 4/3 = 0 for f. -1/3, 2/5 Let j(r) be the second derivative of -r**4/6 + r**3 - 2*r**2 + 9*r. Let j(w) = 0. Calculate w. 1, 2 Let z(i) = i**3 + i**2 + 3*i - 5. Let q(k) = 6*k**3 + 4*k**2 + 16*k - 26. Let j(y) = 6*q(y) - 33*z(y). Factor j(w). 3*(w - 3)*(w - 1)*(w + 1) Let q(x) be the third derivative of 0 + 1/210*x**5 + 5*x**2 + 0*x + 0*x**3 + 0*x**4. Factor q(l). 2*l**2/7 Suppose 24 = 3*n - 6. Let s = -17 + 19. Factor 2 - 33*i**3 - 26*i + 44*i**4 + 64*i**s - n*i**5 + 2 - 43*i**3. -2*(i - 1)**4*(5*i - 2) Let c(i) = i**4 + i**3 + i**2 - i + 1. Let p(x) = 2*x**5 - 9*x**4 + 19*x**3 + 15*x**2 - 21*x + 3. Let s(a) = -3*c(a) + p(a). Solve s(w) = 0. -1, 0, 1, 3 Suppose -3*g = g + 384. Let y be (-2)/9 - g/189. Factor 0*h - y + 2/7*h**2. 2*(h - 1)*(h + 1)/7 Let y(j) = 12*j**3 - 4*j**2 - 12*j. Let i(q) = -q**4 - q**2 + q. Let s(z) = -4*i(z) + y(z). Factor s(k). 4*k*(k - 1)*(k + 2)**2 Let y be 1/((-6)/21)*2. Let c(w) = -13*w**3 - 24*w**2 - 30*w - 5. Let k(n) = 9*n**3 + 16*n**2 + 20*n + 3. Let a(b) = y*k(b) - 5*c(b). Factor a(z). 2*(z + 1)**2*(z + 2) Let t(x) be the first derivative of 2*x**3/9 + 4*x**2/3 + 2*x - 4. Find w, given that t(w) = 0. -3, -1 Let k(y) = 3*y**3 - y**2 - y + 2. Let n be k(2). Find c such that -10*c + n*c**2 + 7*c**3 - 13*c**3 + 4 - 8*c = 0. 1/3, 1, 2 Let p(a) = 3*a - 6. Let m be p(6). Suppose 3*i = -i + m. Solve i*j + 2 - j**2 - 3*j**2 + 5*j**2 = 0. -2, -1 Let u(p) be the third derivative of 1/525*p**7 + 0 + 1/100*p**6 + 0*p**3 + 3*p**2 + 1/60*p**4 + 0*p + 1/50*p**5. Suppose u(j) = 0. What is j? -1, 0 Let s(t) = 8*t**4 - 21*t**3 - 61*t**2 - 13. Let v(y) = 4*y**4 - 10*y**3 - 30*y**2 - 6. Let r(p) = -6*s(p) + 13*v(p). Factor r(z). 4*z**2*(z - 3)*(z + 2) Let f(p) be the second derivative of -p**8/2800 + p**7/6300 + p**6/900 - 5*p**4/12 - 3*p. Let a(t) be the third derivative of f(t). Find r such that a(r) = 0. -1/2, 0, 2/3 Let 8*g**5 - 4*g - g - 2*g**2 + 12*g**2 - 3*g**5 - 10*g**4 = 0. What is g? -1, 0, 1 Factor 0*j**2 - 1/4*j**3 + 0 + 0*j. -j**3/4 Let y(f) be the first derivative of 2*f**3/21 - 2*f**2/7 - 6*f/7 - 13. Factor y(h). 2*(h - 3)*(h + 1)/7 Let l be 0*(-4 + (-2 - -5)). Factor -7*s**2 - 4*s**3 + 6*s**2 + 4*s + l*s**2 + 1. -(s - 1)*(s + 1)*(4*s + 1) Solve 0*j**2 - 6/5 + 3/5*j**3 - 9/5*j = 0 for j. -1, 2 Let k = 1/493 - -6893/4437. Suppose 2*g**2 - 10/9*g**3 + 2/9*g**4 - k*g + 4/9 = 0. What is g? 1, 2 Let v(g) = -162*g**4 - 563*g**3 - 548*g**2 - 163*g - 11. Let a(z) = 81*z**4 + 282*z**3 + 274*z**2 + 81*z + 5. Let u(y) = 5*a(y) + 3*v(y). Factor u(q). -(q + 1)*(q + 2)*(9*q + 2)**2 Let v = -3 + 9. Let w be 0 + -1 - (-8)/v. Factor 1/3 - 2/3*a + w*a**2. (a - 1)**2/3 Let n = -14 - -13. Let j(s) = -s**4 + s**2 - s + 1. Let w(u) = 3*u**4 - 4*u**3 + 4*u**2 - 2*u - 1. Let k(r) = n*w(r) - 2*j(r). Factor k(l). -(l - 1)**4 Suppose 0 = 3*w + 4 - 13. Suppose -w*j - 6 = -5*j. Solve -2*r**2 + 2*r**j + 3*r - 2*r**2 - r = 0. 0, 1 Factor 3*z - 3 - 3/4*z**2. -3*(z - 2)**2/4 Let t = 5 - 3. Factor 0 - 11*r - 2*r**2 + 0*r**t + 3*r - 8. -2*(r + 2)**2 Let p(q) be the third derivative of 1/10*q**5 + 0 + 1/40*q**6 + 0*q + 0*q**3 + 1/8*q**4 - 3*q**2. Solve p(n) = 0 for n. -1, 0 Let p(s) = s**3 + 5*s**2 - 4*s - 28. Let l be
{ "pile_set_name": "DM Mathematics" }
p) = 79*p. Calculate d(m(f)). 6241*f**2 + 502519*f Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)). -357618408*f**4 Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))? 260*y**4 + 12 Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calculate n(y(j)). 21*j**2 Let r(q) = -87*q + 14. Let w(n) = -85*n + 12. Let o(j) = 6*r(j) - 7*w(j). Let s(g) = 3*g**2. Determine s(o(b)). 15987*b**2 Suppose -s = -7 - 3. Let z(m) = -s*m + 19*m - 14*m. Let l(w) = -w + 4. Let c(h) = h - 5. Let d(a) = -4*c(a) - 5*l(a). Give z(d(j)). -5*j Let b(i) = -2*i. Let w(a) = 112868*a**2. Calculate b(w(r)). -225736*r**2 Let b(t) = t. Let p(x) be the third derivative of -1/24*x**4 + 0 + 23*x**2 + 25/6*x**3 + 0*x. Determine b(p(k)). -k + 25 Let m(i) = -29*i**2. Let l(c) = 2*c + 613. Determine m(l(y)). -116*y**2 - 71108*y - 10897301 Let c(x) be the second derivative of x**3/6 + x. Suppose 0 = u + n - 7, 5*u + 2*n + 10 = 6*n. Let w(j) = -11 - u*j - 3*j + 11. Calculate c(w(r)). -5*r Let y(d) = 18*d. Let b(w) = 17894*w**2. Give y(b(q)). 322092*q**2 Let d(z) be the first derivative of 8*z**3/3 - 16. Let s(p) = -2*p**2 + 6*p + 6. Let f(u) = -2*u**2 + 5*u + 5. Let l(h) = 6*f(h) - 5*s(h). Give l(d(q)). -128*q**4 Let g(p) = -p. Let c(w) = -1315641*w. Give g(c(j)). 1315641*j Let o(y) = y. Let u(c) = -14485*c**2 - 2*c - 2. Determine u(o(z)). -14485*z**2 - 2*z - 2 Let p(f) = -3*f. Let l(h) = h + 19. Let z(b) = -4*b - 77. Let t(v) = 22*l(v) + 6*z(v). What is p(t(n))? 6*n + 132 Let u(p) = 3*p**2. Let b(y) = y**3 + 7*y**2 + 21*y + 57. Let c be b(-5). Let q(g) be the second derivative of c*g + 0*g**2 + 0 + 1/2*g**3. Calculate u(q(o)). 27*o**2 Let n(v) = -32*v - 6. Let c = -115 + 109. Let k(y) = -32*y - 7. Let m(h) = c*k(h) + 7*n(h). Let u(f) = 2*f. What is m(u(o))? -64*o Let w(j) = 0*j**2 - j**2 - j**2 + 0*j**2. Let x(o) = 11*o + 20. Let g(h) = -10*h - 15. Let m(p) = 4*g(p) + 3*x(p). What is w(m(b))? -98*b**2 Let i(d) = 2061*d**2. Let h(q) = 2*q. Give h(i(y)). 4122*y**2 Let z(n) be the third derivative of n**4 - n**3/3 + 3*n**2. Let i(p) = 2*p**2 + 15. Let u(w) = -7*w**2 - 55. Let a(s) = -11*i(s) - 3*u(s). Give z(a(r)). -24*r**2 - 2 Let r(f) = 212*f. Let l(i) = 17*i - 13. Give l(r(o)). 3604*o - 13 Let u(d) be the first derivative of d**5/60 - 23*d**2 + 43. Let g(s) be the second derivative of u(s). Let w(p) = p - 2. Calculate w(g(m)). m**2 - 2 Let w(i) = 2*i. Let d(u) = 68*u**2 - 576*u. Give d(w(t)). 272*t**2 - 1152*t Let v = 89 + -88. Let j(o) = -v - 386*o + 384*o + 1. Let f(b) = -28*b. Calculate j(f(a)). 56*a Let h(m) = 73*m. Let x(w) = 1417*w. What is h(x(a))? 103441*a Let u(x) = 4*x**2 - x - 979. Let y(b) = -7*b. Determine y(u(m)). -28*m**2 + 7*m + 6853 Let f(s) = 10238*s**2. Let x(o) = -21*o**2. What is x(f(j))? -2201149524*j**4 Let m(k) = -6*k. Let d(l) = -2*l. Let b(f) = -11*d(f) + 4*m(f). Let z(i) be the second derivative of -14*i**4/3 + 248*i + 3. Calculate b(z(v)). 112*v**2 Let c(p) = -57*p**2 + 2*p + 2. Let s(l) = 10650*l**2 - 375*l - 375. Let i(q) = -375*c(q) - 2*s(q). Let a(f) = -3*f. Calculate i(a(u)). 675*u**2 Let d(y) = y - 4758. Let u(h) = 26*h. What is u(d(s))? 26*s - 123708 Let z(r) be the third derivative of r**5/12 + 135*r**2. Let q(s) = 42*s. Calculate q(z(k)). 210*k**2 Let y(m) = 2*m**2. Let s(t) = -2*t + t - 10 + 11 - 10*t. Calculate s(y(c)). -22*c**2 + 1 Let z(g) = -113*g + 2. Let c(l) = 22*l - 1. What is c(z(t))? -2486*t + 43 Let a(u) = 6*u**2 + 9*u + 54. Let y(l) = 3*l**2 + 5*l + 30. Let w(i) = -5*a(i) + 9*y(i). Let o(j) = -j + 90. What is o(w(d))? 3*d**2 + 90 Let f(u) be the second derivative of -u**4/3 + 124*u. Let t(m) = -6*m**2. Determine t(f(n)). -96*n**4 Let z(b) = b**2. Let j(c) = 11 - 11 - 2*c + 3*c**2. Let v = 8 - 53. Let s(g) = 65*g**2 - 45*g. Let t(i) = v*j(i) + 2*s(i). What is t(z(m))? -5*m**4 Let w(q) = -196*q - 76. Let s(n) = 11*n**2. Calculate s(w(j)). 422576*j**2 + 327712*j + 63536 Let g(m) = -3*m. Let b(y) be the second derivative of 11*y**3/3 - 3*y**2/2 + 23*y. Calculate b(g(p)). -66*p - 3 Let m(a) = -5*a**2 + 655*a - 4. Let w(o) = 36*o. Give m(w(t)). -6480*t**2 + 23580*t - 4 Let o(n) = 2*n**2. Let r(k) = 139917*k. What is r(o(v))? 279834*v**2 Suppose -4*r - 4*a + 4 = 0, 2*r - 6 = 3*a - a. Let k(l) = -4*l**2 + 7*l**2 - l**r - 4*l**2. Let i(y) = 25*y**2. Determine k(i(x)). -1250*x**4 Let n(a) = 7*a**2. Let s(z) = -254*z**2 + 0 + 0 + 259*z**2. Give s(n(v)). 245*v**4 Let m(w) be the first derivative of -3*w**2/2 + 190. Let i(t) = 2 - 2*t - 2. Give i(m(l)). 6*l Let k(o) be the second derivative of o**3 + 25*o. Let y(h) be the second derivative of h**3/6 + h. What is y(k(b))? 6*b Let k(v) = 483538*v**2. Let p(z) = -2*z. Give p(k(b)). -967076*b**2 Let k(v) be the third derivative of v**6/120 + v**3/3 + 3*v**2. Let o(y) be the first derivative of k(y). Let q(l) = -l - l + 7247 - 7247. What is q(o(x))? -6*x**2 Let b(r) = 5*r**2 - 45*r. Let w(l) = -16*l**2 + 130*l. Let d(c) = -26*b(c) - 9*w(c). Let x(z) = 20*z. What is x(d(u))? 280*u**2 Let h(b) = -5*b**2. Let w be 0*2/4 - 3. Let i be (1/w)/(3/(-18)). Let c(a) = a - i*a - a. What is c(h(g))? 10*g**2 Let k(d) = d - 10*d + 3 - 3. Let v(y) be the first derivative of -y**2/2 + 42. Determine v(k(s)). 9*s Let b(a) = 2*a. Let o(w) = 8 + 2*w + 7*w - 9*w + 3*w + 6. Determine o(b(d)). 6*d + 14 Let s(j) = 11 + 1 - 12 - 11*j. Let b(r) be the third derivative of -r**6/360 + r**3/6 - 2*r**2. Let n(g) be the first derivative of b(g). Give n(s(w)). -121*w**2 Let t(p) = -283*p. Let c(s) = -12*s - 457. Calculate t(c(j)). 3396*j + 129331 Let x(c) = c. Let k(o) = 44195*o. Determine k(x(l)). 44195*l Let s(y) = 253322*y**2. Let n(f) = 2*f. What is s(n(x))? 1013288*x**2 Let r(a) = -3*a**2. Let y(g) = 54*g**2 - 5*g - 15. Let l(q) = -2322*q**2 + 216*q + 648. Let c(t) = -5*l(t) - 216*y(t). Calculate r(c(m)). -8748*m**4 Let o be (6/(-12)*2)/((-2)/18). Let s(v) = -20*v + o*v + 12*v. Let c(y) = 2 + 3*y - 2. Determine s(c(q)). 3*q Let p(b) = -b**2 + 2*b. Let m(r) = 1247*r**2 - 2. Determine p(m(s)). -1555009*s**4 + 7482*s**2 - 8 Let z(n) = -67*n**2 + n + 0*n - 2*n + 219*n**2. Let f(r) = -r**2. Give z(f(u)). 152*u**4 + u**2 Let a(m) = -5*m. Let h(p) = 622*p**2 + 7. Calculate a(h(r)). -3110*r**2 - 35 Let k(x) = 7*x**2. Suppose 2 + 4 = 2*o. Let q(m) = 79 - 79 + o*m. Give q(k(h)). 21*h**2 Let y(f) = -13*f - 3 - 12 + 15. Let c(w) = 32*w**2. Give c(y(o)). 5408*o**2 Let y(g) be the first derivative of g**2/2 + 26. Suppose -3*z - 3 = -12. Let c(i) = 8*i - z*i + 6*i. Calculate c(y(v)). 11*v Let m(v) = -3*v + 3*v + 17*v. Let u(w) = 74*w. Let x(q) = 198*q. Let n(d) = 8*u(d) - 3*x(d). Calculate m(n(l)). -34*l Let l(w) be the second derivative of w**5/30 - 2*w**2 + 6*w. Let q(y) be the first derivative of l(y). Let s(k) = 7*k**2. What is q(s(t))? 98*t**4 Let v(s) = -2*s**2. Let z(d) be the first derivative of -2*d**3/3 - d**2/2 - d + 9. Let c(k) be the first derivative of z(k). Calculate v(c(j)). -32*j**2 - 16*j - 2 Let r(d) = -5*d. Let p(t) = 47*t**2 + 11*t - 11. Let i(j) = 9*j**2 + 2*j - 2. Let h(y) = -22*i(y) + 4*p(y). What is h(r(o))? -250*o**2 Suppose 0 = -u + 3 + 1. Let r(z) = -7*z + u*z + 4*z. Let i(o) = -2*o. What is r(i(b))? -2*b Let n(d) = -5*d**2. Let s(i) = 2*i - 2. Let v(w) = 47*w + 12. Let k(m) = 6*s(m) + v(m). Determine k(n(z)). -295*z**2 Suppose -5*g = -3*r - 10 - 9, 0 = -5*g + r + 13. Let x(q) = -q + 304*q**2 + q - 302*q**g. Let d(u) = 22*u**2. Give x(d(l)). 968*l**4 Let y(v) be the first derivative of -v**5/20 - 4*v**2 - 3. Let i(k) be the second derivative of y(k). Let u(c) = -3*c**2. Give i(u(o)). -27*o**4 Let p(f) be the second derivative of f**4/12 - 309*f. Let c(r) = -88*r**2. What is c(p(h))? -88*h**4 Let t(y) = -12*y + 52. Let r(w) = 3*w. Give r(t(x)). -36*x + 156 Let o(a) = -328*a + 16. Let t(y) = 2*y. Calculate t(o(b)). -656*b + 32 Suppose -2*u + j + 3*j + 26 = 0, -3*u = -j - 19. Let c(i) = -135 - u*i + 135. Let p(d) = d + 0*d - 3*d. Determine c(p(o)). 10*o Let w(o) = o - 46. Let v(m) = -202*m. Give w(v(i)). -202*i - 46 Let q(m) = -m**2 - 5*m + 22. Let x be q(-6). Let h(c) = 9 - x + 7 + 2*c**2. Let u(w) = -5*w**2. Determine u(h(p)). -20*p**4 Let f(y) = 24 - 24 - 11*y**2. Suppose 3*g + 27 - 6 = 3*r, 0 = r - 5*g - 27. Let z(v) = -v**2 + 3*v**r
{ "pile_set_name": "DM Mathematics" }
common multiple of 2244 and 121. 24684 What is the common denominator of 73/2198 and -97/79128? 79128 What is the common denominator of -49/33 and -53/17832? 196152 What is the least common multiple of 748 and 53669? 214676 Calculate the smallest common multiple of 2489652 and 10. 12448260 Calculate the common denominator of 44/243 and 133/58536. 526824 What is the smallest common multiple of 10718 and 18? 96462 Find the common denominator of 67/9 and 41/862083. 862083 Calculate the lowest common multiple of 9801 and 963. 1048707 Calculate the lowest common multiple of 1095 and 3555. 259515 What is the lowest common multiple of 4878 and 402? 326826 Calculate the common denominator of -73/33250 and 109/1710. 299250 Find the common denominator of -199/2280 and 21/4280. 243960 Calculate the smallest common multiple of 32109 and 6. 64218 What is the common denominator of -83/67430 and 3/55? 67430 Calculate the least common multiple of 5756 and 221. 1272076 What is the smallest common multiple of 132 and 25196? 831468 Calculate the common denominator of 27/1864 and 33/6757. 54056 Find the common denominator of 75/946 and -21/1093. 1033978 What is the lowest common multiple of 417 and 13344? 13344 Find the common denominator of 37/61219 and 25/4222. 122438 Calculate the lowest common multiple of 25920 and 480. 25920 Calculate the lowest common multiple of 9570 and 280720. 842160 Calculate the common denominator of 89/12068 and 157/103440. 724080 Find the common denominator of -44/175 and -77/21075. 147525 What is the common denominator of 95/33072 and -47/8268? 33072 Find the common denominator of 43/16348 and 69/2680. 163480 What is the common denominator of -13/5436 and -31/1812? 5436 What is the common denominator of 99/316 and -97/368? 29072 What is the smallest common multiple of 8633 and 445? 43165 What is the smallest common multiple of 5225 and 33? 15675 What is the common denominator of -65/92 and 47/6762? 13524 What is the lowest common multiple of 168 and 8124? 113736 What is the lowest common multiple of 222 and 2676? 99012 Calculate the common denominator of -123/250010 and 11/1380. 1500060 What is the common denominator of 23/514402 and -19/24? 6172824 Calculate the least common multiple of 38256 and 248. 1185936 What is the common denominator of -49/29840 and -139/120? 89520 Calculate the common denominator of 1/10543 and 58/65. 52715 Find the common denominator of -109/940 and -107/26884. 134420 What is the common denominator of 35/34681 and 11/2? 69362 Find the common denominator of 33/8 and -99/423580. 847160 Find the common denominator of -101/3090 and 41/2100. 216300 Calculate the smallest common multiple of 5811 and 1. 5811 What is the lowest common multiple of 15390 and 1710? 15390 What is the smallest common multiple of 12336 and 69? 283728 Calculate the common denominator of -27/3188 and 1/3. 9564 Calculate the common denominator of -109/8172 and 129/86260. 776340 What is the smallest common multiple of 10440 and 551? 198360 What is the smallest common multiple of 23461 and 203? 164227 Calculate the common denominator of 23/50382 and 131/33588. 100764 What is the common denominator of -28/388165 and 57/310532? 1552660 What is the lowest common multiple of 16926 and 592? 5010096 What is the common denominator of 37/12504 and 125/24? 12504 Find the common denominator of -139/216720 and -109/5418. 216720 Find the common denominator of 101/153840 and 43/240. 153840 What is the lowest common multiple of 6 and 394540? 1183620 What is the common denominator of -49/8 and -44/2617321? 20938568 What is the smallest common multiple of 96 and 2664? 10656 Find the common denominator of 27/21320 and 131/72. 191880 Find the common denominator of -91/161160 and 26/555. 5962920 What is the common denominator of 37/1440 and 109/504? 10080 Calculate the common denominator of 97/528 and 131/4686. 37488 Calculate the common denominator of 48/235 and 31/670. 31490 Calculate the smallest common multiple of 51009 and 84. 204036 What is the smallest common multiple of 8 and 77432? 77432 Calculate the lowest common multiple of 553 and 2653. 209587 What is the common denominator of 115/33654 and -5/370194? 370194 Calculate the least common multiple of 31120 and 28008. 280080 Find the common denominator of 51/20 and -37/4900. 4900 What is the smallest common multiple of 2164 and 1320? 714120 What is the smallest common multiple of 105841 and 3? 317523 What is the common denominator of -8/27 and 68/69759? 209277 What is the common denominator of -46/346299 and 38/1297? 346299 Calculate the common denominator of 25/5833 and -101/1842. 34998 What is the common denominator of -48/95 and -77/750? 14250 What is the smallest common multiple of 179170 and 110? 1970870 Calculate the common denominator of -95/768 and 151/372. 23808 Calculate the common denominator of -61/24030 and -91/176220. 528660 Calculate the least common multiple of 71008 and 104. 923104 Calculate the least common multiple of 69260 and 80. 277040 Find the common denominator of 31/1119951 and -5/24. 8959608 Calculate the least common multiple of 9272 and 24888. 472872 Calculate the least common multiple of 6 and 205478. 616434 Calculate the lowest common multiple of 152 and 70696. 1343224 What is the common denominator of -139/420 and 25/3093? 433020 What is the lowest common multiple of 144 and 120? 720 What is the smallest common multiple of 26 and 52166? 678158 Calculate the common denominator of 35/1707 and 4/15363. 15363 What is the lowest common multiple of 32 and 1131024? 2262048 Calculate the common denominator of 137/780 and 27/19360. 755040 Calculate the lowest common multiple of 4080 and 114. 77520 What is the common denominator of 119/22836 and 31/57090? 114180 What is the common denominator of 55/3174 and -97/506? 34914 Calculate the common denominator of 65/49776 and -49/99552. 99552 Calculate the common denominator of 17/699000 and 97/400. 1398000 Calculate the common denominator of -75/15604 and 3/32806. 5445796 What is the common denominator of 41/43071 and -37/2058? 602994 Calculate the common denominator of 137/580692 and -62/27. 5226228 What is the least common multiple of 198 and 169620? 508860 Find the common denominator of -77/4 and -43/264. 264 Calculate the smallest common multiple of 3 and 120061. 360183 Calculate the least common multiple of 509678 and 117. 4587102 What is the lowest common multiple of 218000 and 87200? 436000 What is the least common multiple of 772730 and 141930? 6954570 Calculate the common denominator of -37/12036 and -31/3009. 12036 What is the smallest common multiple of 9750 and 300? 19500 What is the least common multiple of 535560 and 803340? 1606680 What is the smallest common multiple of 3780 and 7560? 7560 Find the common denominator of 39/88 and 29/10536. 115896 What is the smallest common multiple of 16068 and 12? 16068 Calculate the common denominator of -37/282 and 1/8712. 409464 What is the least common multiple of 10931 and 105? 1147755 What is the lowest common multiple of 129 and 13713? 589659 What is the common denominator of 79/852 and 68/4899? 19596 Calculate the common denominator of 17/230 and -39/54257. 542570 Calculate the smallest common multiple of 111796 and 167694. 335388 Calculate the smallest common multiple of 8 and 1300. 2600 What is the least common multiple of 2520 and 525? 12600 What is the common denominator of -26/89595 and -88/63? 627165 What is the least common multiple of 16 and 42464? 42464 Calculate the least common multiple of 38 and 486115. 972230 Calculate the least common multiple of 133245 and 1575. 666225 Calculate the common denominator of -27/193424 and 127/660. 2901360 Calculate the least common multiple of 672 and 280. 3360 Calculate the common denominator of 43/708860 and 28/13869. 6379740 What is the least common multiple of 390 and 2832? 184080 Find the common denominator of -85/10446 and -11/114. 198474 Calculate the common denominator of 19/6120 and -101/288. 24480 Calculate the common denominator of -32/15 and 61/624915. 624915 What is the least common multiple of 245388 and 3146? 245388 Calculate the common denominator of -121/197930 and 103/50. 989650 Calculate the least common mult
{ "pile_set_name": "DM Mathematics" }
*z wrt j? 264*j*z + 1260*z What is the first derivative of -185*y + 1072 wrt y? -185 What is the derivative of 25*l**2 - l - 268 wrt l? 50*l - 1 Find the second derivative of -36*s**2*x**2*y - 23*s**2*x - 2*s**2 + 2*s - 2*x*y wrt x. -72*s**2*y What is the first derivative of -92*n*y**2 - 8716*n - 4*y**3 wrt y? -184*n*y - 12*y**2 What is the third derivative of -1425*w**5 - 1748*w**2? -85500*w**2 What is the second derivative of 3*u**3 - 4*u**2 - u + 99? 18*u - 8 What is the second derivative of -9337*v**2 - v + 576? -18674 Differentiate 15*l**3*r + 3*l**2*r**2 - 674*r**2 wrt l. 45*l**2*r + 6*l*r**2 Find the first derivative of -2*q**3 + 31*q**2 - 7*q + 1682 wrt q. -6*q**2 + 62*q - 7 What is the first derivative of 58*q**3 + 2*q + 418 wrt q? 174*q**2 + 2 What is the derivative of -7*m*p*z + 2*m*z - 11*p*z + 3*p + 635 wrt p? -7*m*z - 11*z + 3 What is the first derivative of 157*r**2 + 21*r + 21449 wrt r? 314*r + 21 What is the third derivative of -1074*w**3 + 483*w**2 + w? -6444 Find the third derivative of -2153*n**3*s**3 + 2*n**2*s**3 + 372*n**2*s**2 + 2*n**2*s + n wrt n. -12918*s**3 Find the second derivative of -5*o**4*x + 173*o**3*x**3 - 3*o*x**3 + 91*o*x**2 - 2*x**3 wrt o. -60*o**2*x + 1038*o*x**3 Find the third derivative of 11*a**5 - 2*a**4 + 5*a**3*y - a**2*y + 3*y wrt a. 660*a**2 - 48*a + 30*y Find the second derivative of -7928*v**2*z - 57*v*z + v - 15*z wrt v. -15856*z Find the third derivative of 459*v**5 + 232*v**2 + 1. 27540*v**2 What is the second derivative of -126*d**3*i**2 - 7*d**3*i + 2*d**2*i**2*x + 2*d**2*x - d*i wrt i? -252*d**3 + 4*d**2*x What is the third derivative of -14*d**6 - 4*d**3 - 2*d**2 + 288*d? -1680*d**3 - 24 Find the first derivative of a**2*x - 168*a**2 + 65*x + 1 wrt a. 2*a*x - 336*a Find the third derivative of -345*p**5 + p**2 - 108 wrt p. -20700*p**2 Find the first derivative of -i**3*v*x + 1325*i**3 + 51*v*x - v + 17*x wrt x. -i**3*v + 51*v + 17 What is the third derivative of -71*j**5 + j**3 + 5*j**2 - 4 wrt j? -4260*j**2 + 6 What is the first derivative of -205*u**4 + 587? -820*u**3 Find the third derivative of -1245*q*r**3*s - 6*q*r**3 + q*r**2 - 2*q*r + 3*q*s - 2*r**2 - 13*s wrt r. -7470*q*s - 36*q Find the second derivative of 2120*s**5 - 515*s. 42400*s**3 Find the second derivative of 2*f**5 + 760*f**3 + 9263*f wrt f. 40*f**3 + 4560*f What is the second derivative of -1305*v**3 + 173*v + 4? -7830*v Differentiate -9*b*h - 2539*b + 20*h**3 + 2 wrt h. -9*b + 60*h**2 Find the second derivative of -7*b**3*g**2 - 3*b**3*g + b**3*s - 2*b**2*g**2*s + 3*b**2*g - 6*b**2*s + 11*b*g**2 + 5*g*s wrt g. -14*b**3 - 4*b**2*s + 22*b What is the first derivative of 197*b*q**2 - 65*q**2 wrt b? 197*q**2 What is the first derivative of -2*q**4 + 350*q**2 + 259? -8*q**3 + 700*q What is the third derivative of -195*s**6 + 465*s**2 + 1? -23400*s**3 Find the second derivative of -2*f**5 - 1476*f**3*s**2 - f*s**2 - f + 695*s wrt f. -40*f**3 - 8856*f*s**2 What is the first derivative of 5*c**3 - 1755*c + 4731? 15*c**2 - 1755 What is the second derivative of 3*x**3 - 53*x**2 - 4*x + 21? 18*x - 106 Find the first derivative of 6100*r + 9529. 6100 Find the second derivative of -55*x**4 + 32*x**3 - 2432*x. -660*x**2 + 192*x What is the third derivative of a**4*y + a**4 - 2*a**3*i*y + 4*a**3*y - 5*a**2 + 6*a*i + 3*i*y wrt a? 24*a*y + 24*a - 12*i*y + 24*y Find the second derivative of 462*y**5 + 347*y wrt y. 9240*y**3 Differentiate -105*d**3*t**2 - 5*d**3 - 2*d*t - 43*t**2 - 10*t wrt d. -315*d**2*t**2 - 15*d**2 - 2*t Find the second derivative of -167*p**2 + 137*p. -334 Differentiate 253*m + 54 wrt m. 253 Find the third derivative of -1079*y**3 - 554*y**2. -6474 Differentiate 1658*c**4 + 3387 with respect to c. 6632*c**3 What is the first derivative of -6*w**4 - 2*w - 3200? -24*w**3 - 2 Find the third derivative of 800*o**6 + 799*o**2. 96000*o**3 Find the third derivative of 215*k**3*l**6 + k**3*l**3 + 5*k**3*l**2 - 132*k*l**2 wrt l. 25800*k**3*l**3 + 6*k**3 Find the second derivative of -1630*b**4 - 5*b + 38. -19560*b**2 Find the second derivative of -1795*j**2 + 7*j - 39. -3590 What is the third derivative of -312*c**3 + 554*c**2? -1872 What is the derivative of 26*m*z + m - 317*z wrt m? 26*z + 1 Find the second derivative of -23*a**2*t**2 - 193*a**2 + 5*a*t**2 + a*t - 415*t wrt a. -46*t**2 - 386 Differentiate -1283*x - 292 with respect to x. -1283 What is the third derivative of -20*c**3*h**3 - 201*c**2*h**3 wrt c? -120*h**3 Find the second derivative of -51*o**3 - o**2 - 139*o wrt o. -306*o - 2 What is the third derivative of -232*t**4 - 4*t**3 - 89*t**2 - 24*t? -5568*t - 24 What is the third derivative of 273*b**5*j - 11*b**4*j**2 - 150*b**2*j**2 - 6*b*j**2 wrt b? 16380*b**2*j - 264*b*j**2 What is the derivative of -j**4 + 3*j**3 + 187 wrt j? -4*j**3 + 9*j**2 Find the third derivative of 6*m**3*p*q*t**2 + m**3*q**2 - 2*m**3*t**3 - 2*m**2*q**2*t + 2*m**2*q - m*q**2*t**3 + p*t**2 wrt m. 36*p*q*t**2 + 6*q**2 - 12*t**3 Find the second derivative of 2*d**4*k + 2*d**2*k - 2217*d**2 - 13698*d*k wrt d. 24*d**2*k + 4*k - 4434 What is the third derivative of -3*l**5 - 26*l**4 - 19*l**3 + 7127*l**2 - 2*l wrt l? -180*l**2 - 624*l - 114 Find the third derivative of -22*i**5 + 7*i**3 + 127*i**2 wrt i. -1320*i**2 + 42 Find the second derivative of 53*q**4 + 31*q**2 - 144*q + 4 wrt q. 636*q**2 + 62 What is the derivative of g**4 - 698*g**3 - 6812 wrt g? 4*g**3 - 2094*g**2 What is the second derivative of g**5*v + 2699*g**2 - g*v - 133*g + 3*v wrt g? 20*g**3*v + 5398 What is the derivative of -33*f**3*i*l + 2*f**3*i - f**2*i*l - 148*f**2*i - 2*i*l wrt l? -33*f**3*i - f**2*i - 2*i Find the second derivative of -201*m**3*w**5 + 3*m**3 - 2*m*w - 3*w**5 wrt w. -4020*m**3*w**3 - 60*w**3 Find the second derivative of -2*a**3*h**2 - 22*a**3*h - 4*a**2*h**2 + 13*a*h**2 - a + 9 wrt a. -12*a*h**2 - 132*a*h - 8*h**2 What is the third derivative of 5*b**6*p + 9*b**4*p - 2*b**2*p + 3*b**2 + 6*b*p wrt b? 600*b**3*p + 216*b*p What is the second derivative of -5*j**5 + 8*j**4 + 5*j**3 + 3204*j + 1? -100*j**3 + 96*j**2 + 30*j What is the derivative of 2*f*l**3 - 8*f*l*w - 6*f*p - 4*l**3*p*w + l**3*w + l**3 - p wrt f? 2*l**3 - 8*l*w - 6*p Find the first derivative of 312*j**4 - 634. 1248*j**3 Find the third derivative of -2*s**5*w**2 + 60*s**3*w - s**2*w**2 - 4*s - w**2 wrt s. -120*s**2*w**2 + 360*w What is the third derivative of -q*w*x**3 + 3*q*w*x**2 - 6*q*w*x + q*w + 2*q*x**3 - 20*x**5 wrt x? -6*q*w + 12*q - 1200*x**2 What is the second derivative of 341*j**2 - 4*j + 145? 682 What is the second derivative of 8710*i**2 + 1152*i? 17420 Find the second derivative of 761*w**5 - 446*w. 15220*w**3 Find the first derivative of -23*n**3*q + 20*n**3 + q**2 - 2*q wrt q. -23*n**3 + 2*q - 2 Find the second derivative of 2*h**2*m**2*o**2 + 5*h**2*m**2*o + h**2*m + 3*h**2*o**2 + 2*h**2*o - 2*h**2 - 4*h*m**2 - 314*h*o**2 wrt o. 4*h**2*m**2 + 6*h**2 - 628*h Differentiate -4*f**2*t - 26*f**2 - 96*f*t - 2*f - 64 wrt t. -4*f**2 - 96*f Differentiate 3*d**3*i**3 - 2*d**3*i - 85*d**3 + 18*d*i with respect to i. 9*d**3*i**2 - 2*d**3 + 18*d Find the third derivative of 1213*w*y*z**6 + 3*w*y*z**2 - w*z**2 - 8*w*z + 2*y*z**6 + 9*y*z + 2*z wrt z. 145560*w*y*z**3 + 240*y*z**3 What is the first derivative of -198*p**4 - 65? -792*p**3 What is the third derivative of -3*d**5 + 13*d**3 - 274*d**2? -180*d**2 + 78 Differentiate -249*i + 2527 wrt i. -249 What is the third derivative of -2*b**3*j**3 + 382*b**3*j**2 - 12*b**2*j**3 - 12*j**2 wrt b? -12*j**3 + 2292*j**2 What is the third derivative of -391*i**3*n**3 - 2*i**3*n**2 + 22*i**2*n**3 - 2*i**2 wrt i? -2346*n**3 - 12*n**2 What is the first derivative of 2*h*k*t + h*k - 119*h*t + 5*k*t - 3*t + 1 wrt h? 2*k*t + k - 119*t Find the third derivative of 13256*z**3 - 12551*z**2. 79536 What is the second derivative of 3305*g**2 + 208*g - 3? 6610 What is the derivative of -2*i**3*s**2 - 3*i*s**3 + 10*i*s + 445*s**3 wrt i? -6*i**2*s**2 - 3*s**3 + 10*s Find the third derivative of p*s**5 + 12*p*s - 149*s**5 + 2*s**2 wrt s. 60*p*s**2 - 8940*s**2 What is the first derivative of -61*h**2 + h + 1125 wrt h? -122*h + 1 Find the third derivative of -416*v**4 + 653*v**2 wrt v. -9984*v What is the second derivative of -187*x**3 + 2*x + 121? -1122*x W
{ "pile_set_name": "DM Mathematics" }
) + sqrt(152))*1)/(sqrt(8) - sqrt(64)/(sqrt(24)/sqrt(3) + sqrt(8) + sqrt(8))). 3*sqrt(19)/2 Simplify -4 + sqrt(1331)*-2. -22*sqrt(11) - 4 Simplify ((sqrt(7) - (sqrt(7) + -1)) + -4)*2. -6 Simplify 1*sqrt(13)*1 + (sqrt(65)*1)/sqrt(5). 2*sqrt(13) Simplify ((-2 + sqrt(304))*-4)**2. -256*sqrt(19) + 4928 Simplify (sqrt(330)/(sqrt(30)/sqrt(5)))/(sqrt(320)*2 + sqrt(5) - sqrt(5)). sqrt(11)/16 Simplify (4 + (sqrt(605) + 3)*-5)**2. 1210*sqrt(5) + 15246 Simplify 2 + 2 + sqrt(363) + -5. -1 + 11*sqrt(3) Simplify 6*(1 + sqrt(78)/(2*sqrt(54) + sqrt(54))). 2*sqrt(13)/3 + 6 Simplify (sqrt(12)/(sqrt(42)/sqrt(7)))**2 + sqrt(2) + 1 + -3. sqrt(2) Simplify ((sqrt(500) - -1*sqrt(500) - sqrt(500)) + sqrt(500))**2. 2000 Simplify sqrt(27)/(sqrt(9) - (-2*sqrt(72) + sqrt(72))/sqrt(8)). sqrt(3)/2 Simplify (1 + 6*sqrt(2448)*-2)**2. -288*sqrt(17) + 352513 Simplify -3 + 1 + sqrt(7) - (sqrt(14)/sqrt(2) + 1). -3 Simplify 5*(sqrt(36)/sqrt(3) + 0). 10*sqrt(3) Simplify 1 + ((sqrt(77) - sqrt(77)*-2)/sqrt(11))**2 + sqrt(49)/sqrt(112). sqrt(7)/4 + 64 Simplify (sqrt(1331)*2*-2 - (sqrt(1331)*1 + -1))**2. -110*sqrt(11) + 33276 Simplify (((sqrt(5) - 1*sqrt(5)) + -1)**2 + -1)*6 + 2. 2 Simplify ((-2*sqrt(104))/sqrt(2))**2. 208 Simplify (sqrt(1176) - -1*sqrt(1176) - sqrt(24))/(sqrt(32)*2). 13*sqrt(3)/4 Simplify (sqrt(700) + -2 + sqrt(700) + -3)**2 - sqrt(700). -210*sqrt(7) + 2825 Simplify sqrt(16)/(sqrt(8) + sqrt(16)/sqrt(2)*-4). -sqrt(2)/3 Simplify (sqrt(153)/sqrt(3)*-3)/(sqrt(24)/sqrt(2)). -3*sqrt(17)/2 Simplify sqrt(153)/((sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72)*5 - sqrt(72))) + sqrt(72))))/sqrt(8)). sqrt(17)/3 Simplify (0 + sqrt(17) + -1)*-4. -4*sqrt(17) + 4 Simplify ((2 + 1*sqrt(147) + sqrt(147) + sqrt(147) + 4 + sqrt(147) + sqrt(147))*-4)**2. 6720*sqrt(3) + 59376 Simplify (sqrt(102)/(-5*(sqrt(6) - -3*sqrt(6))))**2. 17/400 Simplify (-4*((sqrt(288) - 1*sqrt(288)) + sqrt(288) - sqrt(288)) - (3 + sqrt(32) + sqrt(32)*2 + sqrt(32)))**2. 96*sqrt(2) + 521 Simplify 2 + -3 + sqrt(153) + 0. -1 + 3*sqrt(17) Simplify (sqrt(3) + 0)**2*-2 - (sqrt(48) + -1 + sqrt(48))**2. -199 + 16*sqrt(3) Simplify (sqrt(468) + -1*sqrt(468)*2 + (sqrt(468) - 2*sqrt(468)) + 1)**2. -24*sqrt(13) + 1873 Simplify ((sqrt(91) + (2*sqrt(91) - sqrt(91)))/sqrt(7) + 2)*5. 10 + 10*sqrt(13) Simplify (5*-2*(sqrt(153) - (sqrt(153) + -1 + sqrt(153))))**2. -600*sqrt(17) + 15400 Simplify sqrt(304)*-2 + sqrt(475)*2. 2*sqrt(19) Simplify -3*(6*sqrt(325)*-3)**2. -315900 Simplify (0 + sqrt(637))*-4. -28*sqrt(13) Simplify sqrt(363)*-2 + 3 + (sqrt(363)*2)**2*-1. -1449 - 22*sqrt(3) Simplify (((sqrt(98)*1)/sqrt(2))/sqrt(7))**2 + 1. 8 Simplify -2*((-1 + sqrt(396))**2*5 - sqrt(396)). -3970 + 132*sqrt(11) Simplify (sqrt(38)/sqrt(8))**2 + -5. -1/4 Simplify sqrt(110)/(-3*sqrt(30)/sqrt(3)). -sqrt(11)/3 Simplify (5 + sqrt(2057)*1)**2. 110*sqrt(17) + 2082 Simplify -5*((-4 + (sqrt(208) - (sqrt(208) + -2)))*-3)**2. -180 Simplify (2*sqrt(5200))/(sqrt(4)*-1*-6). 10*sqrt(13)/3 Simplify sqrt(12)/sqrt(6) + -5 + (sqrt(108)/sqrt(6))**2. sqrt(2) + 13 Simplify (1*sqrt(22)*-6)/(sqrt(8)*-3). sqrt(11) Simplify ((sqrt(66)*3*-4)/(sqrt(96) - (sqrt(96) - (sqrt(96)*-3 + sqrt(96)))))**2. 99/4 Simplify (1*-1*sqrt(15))/(sqrt(243)*-1). sqrt(5)/9 Simplify -5 + (sqrt(209)/(sqrt(1584) + sqrt(1584) + (2*sqrt(1584) - sqrt(1584))))**2. -6461/1296 Simplify 1 + (sqrt(11) - (sqrt(11) + sqrt(275))) + (sqrt(22)/sqrt(2) + -3 - sqrt(11))**2. -5*sqrt(11) + 10 Simplify (2*(sqrt(12) - (-2*sqrt(12) - sqrt(12) - sqrt(12))))/(sqrt(16)*5). sqrt(3) Simplify (sqrt(22)/sqrt(176))**2 + sqrt(2)*-1*-3. 1/8 + 3*sqrt(2) Simplify (sqrt(40) + (-1*sqrt(480))/sqrt(12))/sqrt(8). 0 Simplify sqrt(20)/sqrt(4) + -5 - ((sqrt(720) + 3*sqrt(720))**2 - sqrt(5)). -11525 + 2*sqrt(5) Simplify sqrt(204)/(2*sqrt(768)). sqrt(17)/16 Simplify sqrt(209)/(sqrt(77)/sqrt(7)) + -1. -1 + sqrt(19) Simplify (0 + sqrt(243)*1)**2. 243 Simplify ((2 + sqrt(343)*1)**2 + (-1 + sqrt(343) + -5)**2)*-3. -2178 + 168*sqrt(7) Simplify (sqrt(5) - (sqrt(20)/sqrt(4) + -5) - (sqrt(180) - (sqrt(180) + 0 - sqrt(180)))**2)*-5. 875 Simplify -6*(sqrt(192) + -1 - sqrt(3) - sqrt(3))*1. -36*sqrt(3) + 6 Simplify 2*(sqrt(1700) + -2 + 4). 4 + 20*sqrt(17) Simplify 2 + sqrt(52) + sqrt(13) + (sqrt(13) - (sqrt(117)*-2)/sqrt(9)). 2 + 6*sqrt(13) Simplify ((-2*sqrt(12))/sqrt(4) - (sqrt(36)*-2)/sqrt(12))**2. 0 Simplify 3 + sqrt(27) - sqrt(12)*-1. 3 + 5*sqrt(3) Simplify 2*6*(sqrt(343) - sqrt(343)*1)*4. 0 Simplify (1 + sqrt(1573) + 0 + -1)*-6. -66*sqrt(13) Simplify sqrt(11) + (sqrt(99)*-2)/sqrt(9) + sqrt(44)/sqrt(4)*5 + 1. 1 + 4*sqrt(11) Simplify (sqrt(351)/sqrt(3) - sqrt(13))**2 + (sqrt(130)*-1)/sqrt(10). -sqrt(13) + 52 Simplify -6*(5*sqrt(343)*-1 + -4). 24 + 210*sqrt(7) Simplify sqrt(22)/(sqrt(24)/sqrt(108)) - ((sqrt(11) - (sqrt(99) + -3)) + 5)**2. -108 + 35*sqrt(11) Simplify (sqrt(75)*2)**2*6. 1800 Simplify ((sqrt(198) - sqrt(198)*2*1) + sqrt(198))/(sqrt(66)/(sqrt(24)/sqrt(4))). 0 Simplify 4 + sqrt(2448) + -1. 3 + 12*sqrt(17) Simplify (((sqrt(1008) + 1)**2 + sqrt(1008) - sqrt(1008)) + sqrt(7) - (sqrt(70)*-1)/sqrt(10)) + (1 + sqrt(343))*-6. -16*sqrt(7) + 1003 Simplify -3 + (5*(sqrt(175) + 2))**2. 500*sqrt(7) + 4472 Simplify (4 + -2*sqrt(13) - (sqrt(13) + 0)*-5)*-3. -9*sqrt(13) - 12 Simplify -2 + 1*(-1*sqrt(2)*5)**2. 48 Simplify (sqrt(2835)*2 - sqrt(2835) - sqrt(35) - sqrt(35))/((sqrt(50) - sqrt(50)*2)/sqrt(10)). -7*sqrt(7) Simplify 1*(sqrt(468) - (sqrt(468) - sqrt(468)*-4)). -24*sqrt(13) Simplify (sqrt(425))**2*-5 + -4. -2129 Simplify 4 + (sqrt(18))**2 - sqrt(8)/(sqrt(4)*2). -sqrt(2)/2 + 22 Simplify 5*-2*sqrt(243). -90*sqrt(3) Simplify (sqrt(300) + sqrt(300)*2 + 0)*-5. -150*sqrt(3) Simplify ((sqrt(36)/sqrt(3) - sqrt(3)) + 2 + sqrt(6)/sqrt(2))*6. 12 + 12*sqrt(3) Simplify (-6*5*(sqrt(76)/sqrt(4) + sqrt(19)))**2. 68400 Simplify -5 + ((sqrt(153) + sqrt(153) + sqrt(153)*1)*4 - (-1 + (sqrt(153) - (sqrt(153) + -1))))**2. 22027 Simplify (-5*(sqrt(5) + (-2*sqrt(45))/sqrt(9)))**2. 125 Simplify -5*(-4*sqrt(252))**2. -20160 Simplify 2*(sqrt(192) - -4*-2*sqrt(192)). -112*sqrt(3) Simplify (sqrt(121) - 5*sqrt(121)*-3)/sqrt(11). 16*sqrt(11) Simplify 4*(-1*sqrt(3520))/(sqrt(15)/(sqrt(3)*-1)). 32*sqrt(11) Simplify -3*sqrt(13)*-2*1. 6*sqrt(13) Simplify (sqrt(363) + 1 + -2)**2. -22*sqrt(3) + 364 Simplify (sqrt(187) - -6*(sqrt(187)*-2 - sqrt(187)))/(sqrt(176) + (sqrt(176) - sqrt(176)*1)). -17*sqrt(17)/4 Simplify 4*(sqrt(19) + (sqrt(19) + sqrt(19)*-4)**2 + 3 + sqrt(19)). 8*sqrt(19) + 696 Simplify 6*sqrt(38)/(sqrt(2)*4)*-3. -9*sqrt(19)/2 Simplify ((-1*sqrt(1008) + sqrt(1008))/sqrt(9))**2*-1. 0 Simplify ((-4*(sqrt(21) - (sqrt(21) - (sqrt(21) - (sqrt(84) - sqrt(21))))))/sqrt(7))**2. 0 Simplify sqrt(99) - (-3*sqrt(99) + 1)**2. -892 + 21*sqrt(11) Simplify (sqrt(75)*-2*-2 - -3*sqrt(75)*-1)**2. 75 Simplify ((sqrt(171) - (sqrt(171) - -1*sqrt(171))*6) + sqrt(171) + sqrt(171))/sqrt(9). -9*sqrt(19) Simplify (sqrt(95) + -6*(sqrt(95) + sqrt(95)*2 + sqrt(95) - sqrt(95)))/(-1*sqrt(5)*-3). -17*sqrt(19)/3 Simplify sqrt(5) + -3 + (0 + sqrt(5))**2 + -6*sqrt(80). -23*sqrt(5) + 2 Simplify (-2*((sqrt(275) - sqrt(11)) + 3 - sqrt(11)))**2. 72*sqrt(11) + 432 Simplify (-1*sqrt(88))/(sqrt(77)/(sqrt(7)*-1)). 2*sqrt(2) Simplify -5 + (4 + sqrt(13) + -1)*-5. -20 - 5*sqrt(13) Simplify (sqrt(2) + -6*(sqrt(2) + sqrt(12)/sqrt(6)))*3. -33*sqrt(2) Simplify (sqrt(1584)*2 + 3)**2. 144*sqrt(11) + 6345 Simplify (sqrt(110) + (sqrt(110) + (sqrt(110) + (sqrt(110) - -1*sqrt(110)*3) - sqrt(110)) - sqrt(110)))/sqrt(10). 5*sqrt(11) Simplify 5*sqrt(152)/sqrt(128). 5*sqrt(19)/4 Simplify 2*(sqrt(132)/sqrt(192))**2*-5. -55/8 Simplify (-1 + sqrt(2) + -2)**2 - sqrt(4)/sqrt(2)*-3. -3*sqrt(2) + 11 Simplify (sqrt(1872) + 1 + 1)**2. 48*sqrt(13) + 1876 Simplify -4 + (sqrt(121)/(sqrt(44)/sqrt(4)) + 2)**2. 11 + 4*sqrt(11) Simplify (sqrt(66)/sqrt(6) + sqrt(11) + 5 + -3)**2. 8*sqrt(11) + 48 Simplify sqrt(152)/(sqrt(392) - (sqrt(392) - 1*sqrt(392))). sqrt(19)/7 Simplify (sqrt(44)*-6)**2 - (sqrt(110)/sqrt(2))/sqrt(5). -sqrt(11) + 1584 Simplify 1*(sqrt(13) + (sqrt(65) - -1*sqrt(65))/sqrt(5)). 3*sqrt(13) Simplify 4*(sqrt(12) + sqrt(3)) + -1 + -2*sqrt(3). -1 + 10*sqrt(3) Simplify (sqrt(1152)*-5 - sqrt(18))/(-5*sqrt(12)/sqrt(2)). 41*sqrt(3)/5 Simplify 5*(sqrt(567) + 0)**2*-1*6. -17010 Simplify (2*sqrt(2057)*-6 + 4 + 0 + sqrt(2057) +
{ "pile_set_name": "DM Mathematics" }
5*l + 379 = -t - t, -12*t + 15*t - 7*t = -5*l + 383 for t. -2 Solve -8 + 2 = 475*b - 470*b - 5*g + 4, -16 = 3*b - g for b. -7 Solve 2*o - 402 = 11*m + 156, -9*m - 208 = -2*o + 9*m - 14*m for o. 4 Solve -h = -22222147*m + 22222149*m - 7, 4*h + 42 = 6*m for h. -3 Solve -4*a + 45 = 3*p, 0 = -4*p + 20*a - 3345 + 3481 for p. 19 Solve -81 = 5*x - 13*q + 17*q, 5*x + 7*q - 76*q - 211 = 0 for x. -13 Solve -10149*r = -0*p + 3*p - 10151*r, -19 = -4*p + 9*r for p. -2 Solve 2*r + 3*v + 3 = 0, -2*r + 619*v = 634*v + 62 - 23 for r. 3 Solve 0 = s - 50*g + 45*g - 1, -307 = 17*s + 2*g - 6*g for s. -19 Solve 4*j - 50 = -2*k, -11114*k + 11 = j - 11115*k for j. 12 Solve -5*i = -5*m - 175, 0 = -2*m - 40*i + 38*i + 62 for m. -2 Solve -36 = -4*x + 14*l - 21*l, -5*x + 2*l = -17*l - 45 for x. 9 Solve -90489*n + 105 = -90510*n, g = -2*n - 6 for g. 4 Solve 3766*s + 5*k - 11 = 3762*s, -2*s + 16*k + 93 = k for s. 9 Solve 5*v = -3*x + 54, -x + 28 = 2389660*v - 2389655*v for x. 13 Solve -4134 = 2*o - 7*l - 4133, l - 11 = 3*o for o. -4 Solve 5*l = 4*x - 40, x + 470 - 480 = 5*l for x. 10 Solve -6600*p + 6602*p + 151 = 9*t, -3*p = 3*t - 54 for p. 1 Solve -13 = -2*g + 5*s, -7*g + 27252*s - 12 = 27250*s - 42 for g. 4 Solve -3*i + 150 = -8236*a + 8240*a, -2*a + 68 = -2*i for i. 2 Solve -11*q + 8*q - 74 = -4*v - 9, -259*v + 3*q = -5165 for v. 20 Solve -3*w = -10*w + 10*w + 3*u + 141, 103 = -38*w - 5*u for w. 4 Solve 6*w - 3*t = 2*w - 101, -10*w - 64 = -5*t + 69 + 52 for w. -5 Solve -f + 6*f + 3*v = -193, 0 = -2*v - 512 + 510 for f. -38 Solve -159 = 5401*s - 5396*s - 3*w, 29*s - 22*w = -936 for s. -30 Solve 4*s + 539 - 129 = -30*w, -84*s - 87*s = -w - 167*s + 7 for w. -13 Solve 6*g - 5*f + 143 = -79, 7*g = 5*f + 14 - 233 for g. 3 Solve -5*v = -3*g - 135 - 52, 5*g + 255 = v - 64 for g. -64 Solve 11*d - 20 = -6*u + 9*u, -4*u - 11*d - 11*d + 14 - 4 = 0 for u. -3 Solve -2*z + 24*k - 556 + 648 = 0, 5*z - 4*k = 118 for z. 22 Solve -12*b + 33 = w - 52, -b - 18156*w + 2 = -18161*w for b. 7 Solve -2*c + 4*c = -24*h + 4*h + 772, -4*h + 5*c - 102 = -172 - 106 for h. 39 Solve 0 = 4*p - 3 + 3, -54*p - 15 = 53*t - 58*t for t. 3 Solve r - 5 = 4*d - 4*r, -2545*d - r - 65 = -2559*d for d. 5 Solve 11930021*d - 11930023*d - 4*l = 26, -20 - 18 = 5*d + l for d. -7 Solve 583 = 20*x + j + 679, 5*j = -x + 15 for x. -5 Solve -3*q - 5*a = -59, -29*q + 5*a = -2*a + 3*a - 361 for q. 13 Solve -1241*k - 61 = -4*y - 1236*k, -11*y - k - 24 = 0 for y. -1 Solve -n + 29 = -3*p - p, 57*n - 62*n - 7663 = 956*p for n. -3 Solve -4*j - o + 40 = 0, 0 = 80416*j - 80409*j + o - 73 for j. 11 Solve -19*f = 2*t - 576, -424 = f + 2*f + 4*t - 526 for f. 30 Solve -3057*o + 16*w = -3058*o + 469, -3*w + 92 = o for o. 5 Solve 5 = 4*y - 38*t + 33*t, 5*y + t + 1 = 0 for y. 0 Solve 32*o = 2*j - 148, 56885 = -5*j - 3*o + 57089 for j. 42 Solve -4*x = d + 49, 0 = 57968*x - 58166*x + 5*d - 2371 for x. -12 Solve -16054*p + 16045*p - 285 = -5*q, 7*q - 399 = -3*p for p. 0 Solve 11*r + 4*p - 7*p = 14*r - 81, 128*r - 2*p + 314 = 0 for r. -2 Solve 3*c = -10*y - 159, 317 - 471 = 4*c - 6*y for c. -43 Solve 2*g + 2222 = 4*b + 2182, 13*g - b = -7*g - b + 4*b - 220 for g. -10 Solve 27*f - 26*f - 22 = 2*o - 11, o = 5*f - 10 for f. 1 Solve 5*d - 25*t = d + 39 + 66, 5*d = 2*t - 7*t - 50 for d. -5 Solve 75669*p - 75667*p = 3*l + 29 + 3, -5*l + p - 17 = 5*p + 29 for l. -10 Solve -o - 1 = 0, -18*o + 210 = 2*y + 226 for y. 1 Solve -2*o = u - 4*u - 77, 760*o - 682*o - 5*u = 427 for o. 4 Solve 5 = 5*q + 2*y - 1, -37 = -4*q - 224*y + 235*y + 56 for q. 4 Solve -612 = 10*y - 4*p - 926, -4*y + 121 = -p + 4*p for y. 31 Solve -53 = -3*q + 5*v, 4*q + 201*v - 219*v = 116 for q. 11 Solve -16 = 3*h - 4*h + 3*g, 2*h - 4*g - 9*g = 7*g + 130 for h. -5 Solve -3*a + i = 23, -11*a - 4186*i = -16*a + 4146 for a. -8 Solve 0 = 5*i + p - 56 - 209 + 378, 97 = -4*i - 3*p for i. -22 Solve h + 5 = 629*n - 628*n, 0 = -5*n + 20 for h. -1 Solve g - p - 8 = 0, -337*g - 38 = -340*g + 5*p for g. 1 Solve 10*j = y - 16, 2*j + 86*y - 165*y + 32 = -80*y for j. -4 Solve 34*j + 4*b + 172 = 0, 16*j - b = 13*j + 20 for j. -2 Solve g + 1 = 3*u, -2*u + 199035 = 4*g + 199025 for u. 1 Solve -42*c = 2*m + 288, 426 = -c - 5*m + 226 for c. -5 Solve -28*w - 84 = -2*r, 4*r + 429 - 420 = -3*w for w. -3 Solve 3*k + 20*p - 62*p = 42*p + 1860, -54 = 3*k + 3*p for k. 4 Solve 714*i - 721*i = -4*m - 60, 3*i - m - 20 = 0 for i. 4 Solve -3*h = 5*x, 0 = 4*h + h - x - 11 + 6 - 14 - 9 for h. 5 Solve 4*p = n - 10, 14723*p - 14721*p - 94 = -4*n for p. 3 Solve 0 = 4*v + 3*k + 46, -126*k + 6 = -4*v - 125*k for v. -4 Solve -2*r + 176 = 11*p, 16 = -15653*p + 15654*p - 4*r for p. 16 Solve 15*b - h - 27 - 27 = 0, 16*b - h - 14 = 7*b + 4*b for b. 4 Solve 0 = 2*a + 53*s - 56*s - 24, a = 5*s + 19 for a. 9 Solve -2*f - 5*h = 47, 271599*f - 2*h = 271596*f - 42 for f. -16 Solve 25*b + 5*b + 55 = 17*z, -z + 0*b - 5*b = -2*z - 3*b + 3 for z. 5 Solve 276*b - 277*b - 30 = -5*h + 19, 2*b = -4*h + 42 for h. 10 Solve 29*k - 81 = 7*b - 9*b, 2*b + 4*k - 51 = -9*k - 6*k for b. -3 Solve 5*c + 2*f = 63, 981*c - 3*f + 3 = 986*c - 84 for c. 3 Solve 2*w = -4*z + 64, -17*z + 19*z - 26 = -4*w for w. -2 Solve 3*r - 5*x - 114 = 0, -5*x + 334 = 3*r + 220 for r. 38 Solve 3*o = b + 53*o + 178, -167*b - 54 = -170*b - 3*o for b. 22 Solve d = -3*a - 681145 + 681120, 4*d + a = 10 for d. 5 Solve -4*c - 23 - 49 = 12*h, -10*c = 3*h - 527 + 518 for c. 3 Solve 0 = 42*o - 47*o + 4*g - 5*g - 34, -3*o + 2*g = 23 for o. -7 Solve d + 2*d + 51 = b, -4*b + 266 = 167*d - 160*d + 62 for d. 0 Solve -163 + 214 = b + 7*v, -33*b - 127 = -6*b + v for b. -5 Solve -759*t = -763*t - 5*c - 24, -4*t = 3*c + 16 for t. -1 Solve 4*l - m = -61, 3175278*l + 413 = 3175276*l + 9*m for l. -4 Solve -5*m - 3590*c = -1811*c - 1803*c - 153, -5*m - 3*c = -99 for m. 21 Solve -32*q + d = -30*q - 36, 62*d + 34 = 61*d for q. 1 Solve 5*t - 3*p - 89 = -28, 6*p = 72*t + 8*p + 116 for t. -1 Solve 2*g + 10*n - 144 = -15*n + 64*n, -n - 3*n + 14 = -5*g for g. -6 Solve 4315*c - 4317*c + 3*q = -13, -2*c + 4*q + 14 = 0 for c. 5 Solve -m + 20*v - 44 - 6 = 11 - 33, -m + v = -10 for m. 12 Solve 4*r + 249 = 13*p - 20, -16*p = 507*r - 506*r - 337 for r. 1 Solve 0 = -2*o + 45*n + 55, -999*o + 3*n - 12 = -1002*o for o. 5 Solve -l - 185 = -27*z, 4*z - 3*l - 502737 + 502721 = 0 for z. 7 Solve i - 8 - 2 = u, 3*u - 253*i = -309 - 971 for u. -5 Solve -45*k - 9*y + 14*y = -60 - 10, k + 52*y - 41 = 60*y for k. 1 Solve 18*z + 4*w = 3*w + 18, -14*w + 0*w = -11*w + 54 for z. 2 Solve -60 = 4*g - 4*i, 30 = -2*g - 79*i + 77*i for g. -15 Solve 2082837 = 2*x - 17*l + 2082764, -38 = 3*x + 4*l for x. -6 Solve -23*k + 25*k + 2*y + 38 = 0, 31 = 5*k - y for k. 2 Solve -406845*c = -406848*c - 12, j - 22 = 3*j + 5*c for j. -1 Solve -36*p - 35 = -5*r - 21*p - 19*p, -5*r - 58*p = -305 for r. 3 Solve -5*u + 62*b - 957 - 134 = -0*u, -2*u = 3*b - 64 for u. 5 Solve 15*r - z + 5*z = -31*r - 0*z + 544, 30 = 3*r + 3*z for r. 12 Solve -3*s + 5*t + 5 + 2 = 0, -20*t - 1226 + 1246 = 0 for s. 4 Solve 101*o - 5*c - 4013 = 100*o - 3642, 300 = 4*o - 4*c for o. 1 Solve -d + 4*a + 55 - 73 = 0, 28*a - 114 = d for d. -2 Solve 3*s - 7*s - 16 = 0, -65*s - 190 = -5*q - 25*s for q. 6 Solve -3*q + 2*j - 15 = 0, 20*j - 56 = 23 - 19 for q. -3 Solve 3*q + 15*c + 3498 - 3978 = 0, 4*c - 124 = 0 for q. 5 Solve 0 = 5*c - j + 39 - 4, -2*c + 114 + 16 = 2*j for c. 5 Solve z - 2*z = 20*i + 3*z - 36, 173*z - 169*z + 10 = 3*i for i. 2 Solve 0 = -9017*h + 9038*h - 2*w + 34, 0 = 10*h - 2*w + 12 for h. -2 Solve -2*p - 3*v - 4 - 2 = 0, 2*p = 24*v - 1142 + 1190 for p. 0 Solve 4*m + 50 = -7*n, 8*n + n - 29 + 85 = -m for m. -2 Solve -4*m - 662 = 3*k - 613, 4*m - 3*k + 79 = 0 for m. -16 Solve 9*h + 45 = -3*u, -150*u = -0*h - h - 154*u - 5 for h. -5 Solve 0 = -2*w + 2, -2*w = 2*x - 3*w + 6*w + 9 for x. -7 Solve -4*c + 28*i = 260, 2*c - 3*c - 33 = -3*c - 3*i - 10 for c. -2 Solve 592*u - 531*u + 1397 = -2*i, 5*u - 3*i = -124 for u. -23 Solve 2*y + 13 = 3*k, -4*k + 4*k + 78 = 15*k + y - 31 for k. 7 Solve -5*t + 601 = -138*n + 53*n - 259, -4*n + 5*t = 50 for n. -10 Solve 300 = -2*z - 4*a, -5*a + 551 = -4*z + 939 for z. 2 Solve -502588*g + 502587*g - 9 = -5*f, f + 7*g = -63 for f. 0 Solve -97 = 5*s - 3*k + 43, -15*k - 17*k + 120 = -0*k - 8*k for s. -25 Solve 28*u + 4*r = 31*u - 127,
{ "pile_set_name": "DM Mathematics" }
composite? False Suppose 0 = t + 5, -j + 3*t - 4*t = -726. Is j prime? False Suppose -5*b + 31 = 1. Let o = 20 - b. Suppose o = a - 23. Is a a prime number? True Let h be (-1)/5 - 63/(-15). Suppose -4*q + 54 = 4*p - 178, 5*q - 235 = -h*p. Is p a composite number? True Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j(t) = -t**u + 35 + 4*t - 3*t - t. Is j(0) prime? False Suppose -22519 = -4*b - u - 3459, -2*u = -5*b + 23825. Is b a composite number? True Let k(u) = -7*u + 5. Let l be k(-6). Let r(s) = -3*s - 3. Let y be r(-2). Suppose y*n - 34 = -2*i + 63, 2*n = -i + l. Is i composite? False Let m(j) = -12*j - 1. Let z = -7 - -6. Let x be -3 + 0/z - -2. Is m(x) composite? False Let w be ((-15)/9)/(4/96). Is (-2)/((w/(-796))/(-5)) composite? False Is (-9 + 10)/(1/1585) a composite number? True Let k(a) = -2*a - 2. Let y be k(-2). Suppose -y*i + 93 = i. Is i prime? True Is 1/(((-20)/(-1676))/5) prime? True Let n(i) be the third derivative of 11*i**6/120 + 3*i**2. Is n(1) prime? True Suppose 3*z + 2138 = 16865. Is z composite? False Let y = -2019 - -2958. Suppose -2*d - 2*t = -0*t - 382, 5*d - 3*t = y. Suppose 0 = -5*m - 24 + d. Is m prime? False Is (1 - 1 - -1)*2353 composite? True Let x be (-3)/(-3*3/12). Suppose 5*v + 4*k - 1 = 0, v = -3*k - x + 2. Suppose v = -3*f + 43. Is f a composite number? True Let n be ((-32)/(-12))/((-1)/3). Let p(q) = -q**2 - 3*q + 11. Let v be p(n). Let a = 24 - v. Is a a composite number? False Suppose 3*o + 4614 = 9*o. Is o prime? True Is (7 - (16 + 2))/((-2)/58) prime? False Let x = 29 + -52. Let a = x - -60. Is a composite? False Suppose 5*t - 3 - 9 = -2*b, 4*t - 24 = 2*b. Suppose 2*y = d - t + 1, -2*d = 4*y - 14. Is y - 2 - -15 - 0 composite? True Let b be 0 + 0 - 4/(-2). Suppose b*y + l - 30 = -0*y, -45 = -3*y + 4*l. Is y prime? False Suppose 3*p - 15 = 546. Is p composite? True Suppose 2*h = -2*q + 16, -q = 4*h + q - 34. Suppose -3*n - 4*s - 3 = -h, 0 = 2*s. Is n/6*(2 - -289) a prime number? True Suppose 11*r + 3110 = 17597. Is r a composite number? True Let l(t) = t**3 - 10*t + 5. Is l(8) composite? True Let h(y) = 5*y - 85. Let l(z) = 11*z - 170. Let s(n) = -13*h(n) + 6*l(n). Is s(0) prime? False Suppose 0 = -5*n + 15. Suppose 2*g = f - n*f + 1080, g = 4*f + 555. Let i = 916 - g. Is i prime? True Let o(l) = 164*l**2 - 2*l + 1. Is o(1) a prime number? True Let v = 256 + -89. Is v a prime number? True Let z = 982 - 648. Is z a prime number? False Let m(n) = -2*n + n - 2*n**2 - 2*n**2 - 2 + 8*n**2. Is m(-3) a composite number? False Let c be (3*-1)/(9/30). Let u(o) = -2*o**3 + 9*o**2 + 10*o + 3. Let p be u(8). Is 1/2 + p/c prime? True Let n(p) = 2 + 2*p - 3*p + 3. Is n(-5) a composite number? True Suppose 4*r - 1 = 3*b - 5, 3*b + 20 = -2*r. Let o be 1281/2*r/(-3). Suppose 4*k + 0*w = -5*w + o, 635 = 3*k + w. Is k prime? True Suppose -3*s - 2*j = -147, 5*j - 203 = -4*s - 0*j. Let w = s + -12. Is w a prime number? False Let p(h) = 12*h**2 - 3*h - 3. Suppose 5*w + l = -3*l + 32, -4*l = -3*w. Is p(w) a composite number? True Suppose -211 + 1792 = 3*i. Is i prime? False Let z(y) = y**2 - 19*y + 4. Let m be z(-15). Suppose -m = -i - i. Is i prime? True Suppose -2*u + 58 = -132. Is u a prime number? False Let t(k) = -3*k**2 - 6*k - 1. Let j be t(-8). Let w = 315 + j. Suppose b - 2*b = -d + 91, 0 = -2*d - 4*b + w. Is d prime? True Let l = 0 + -3. Let v = 1 - l. Suppose -5*c + 401 = -v*a, -2*c = -0*a + 2*a - 146. Is c a prime number? False Suppose 72 + 48 = 5*d. Suppose -m + d = -10. Is m a composite number? True Suppose 3*w - 1213 = 2*m, w - 426 = 7*m - 2*m. Is w a prime number? True Let a = 659 - 28. Is a composite? False Let p be ((-1)/(-3))/((-3)/(-1287)). Suppose -11 = -2*l + p. Is l composite? True Let s be 18/(-4)*(6 + 0). Suppose 18 = -3*d - 0*d. Let t = d - s. Is t a composite number? True Let w = 568 - 345. Is w a composite number? False Let r be (-1 + (-7)/3)*-3. Let k be 36/r + (-4)/(-10). Suppose -k*w = -134 - 174. Is w composite? True Let q(l) = 245*l + 12. Is q(11) a composite number? False Let w = -2 + -19. Is w/(-2) + (-3)/6 a composite number? True Suppose 7*g + 6 = 8*g. Suppose -537 = -g*h + 3*h. Is h a prime number? True Suppose -l + 219 = -3*u, -3*l = 2*u - 0*l + 157. Let q be u*1/(-2) + -3. Let i = 103 - q. Is i composite? True Suppose 4*c = 5*q + 85, -q + 20 = -5*q. Let b = c + 40. Is b composite? True Suppose 2*d + c = -d + 10, 4*c = -4*d. Suppose -y - 387 = -5*h - d*y, -y = 3*h - 235. Is h prime? True Suppose 6*a - a = -120. Let z be 2 - 1/((-2)/a). Is 4/6*(-285)/z a composite number? False Let f(r) = -r**3 + 6*r**2 - 6*r - 1. Let b be f(5). Let c(x) = -x**2 - 5*x + 8. Is c(b) a composite number? False Let f(q) = -q**3 - 6*q**2 + 6*q - 4. Is f(-7) composite? False Is 2 + 1 + 3201 - 1 prime? True Let j(x) = 5*x**2 + 11*x - 19. Is j(14) a prime number? False Let l = -95 + 388. Is l a prime number? True Let a(y) = y**2 - 9*y + 8. Let p be a(8). Suppose 6 = 2*f - 3*d, p*d = d. Suppose -f*q + 481 = 2*b, 4*b + 806 = 5*q + 3*b. Is q a composite number? True Suppose p = 2*g + 259, -g + 498 = 2*p - 0*g. Is p a composite number? False Let r be (3 - 1)*-2 - 4. Let h(p) = p**3 + 6*p**2 - p - 8. Let y be h(-6). Is 53*y/8*r composite? True Suppose -178 = 3*f + 44. Let m = 109 + f. Is m composite? True Suppose -5*j + 5*y + 456 = -7964, y = 3. Is j composite? True Suppose -3*b - n = -30, 2*n + 6 = b - 4. Let o(y) = 3*y + 7. Let v(q) = -4*q - 7. Let l(t) = -3*o(t) - 4*v(t). Is l(b) a composite number? True Let g be 130/(-4) + 5/10. Is 1/(-4) - 2216/g composite? True Let h be (-3)/2 - (-45)/6. Is (170/h)/(1/3) composite? True Suppose -t - 6 = 2*w, 4*w = -0*w - 12. Suppose 0 = -v - t*v + 47. Is v prime? True Let s(p) = -2 + 2*p - 174*p - 6*p - 129*p. Is s(-1) prime? False Suppose -n + 4*n = 18. Suppose -3*j + n*j + 3 = 3*a, 1 = -5*a - j. Suppose x - 33 = -a*x. Is x composite? True Let t = 23 - 17. Let l = 25 - t. Is l a composite number? False Let g = -22 + 12. Is (-93)/(-2) - 5/g a composite number? False Suppose d + 18 = m + 2*m, 4*d = 2*m - 22. Let u be -2 + 1*(m - 3). Suppose 0 = -0*j - 3*j - f + 9, u = -5*f. Is j a prime number? True Suppose 0 = 5*j - 6 - 19. Suppose -16 = -j*a + 34. Is a a composite number? True Let l(s) = s**3 - 7*s**2 + 2*s + 9. Is l(8) composite? False Suppose -2*i + 1293 = -3*i. Is (4/6)/((-2)/i) prime? True Let z(o) = -10*o**2 + o + 3. Let a be z(-7). Let y = -281 - a. Is y a composite number? True Suppose 0 = w + 4*w - 75. Is (2/5)/(1/w) a composite number? True Let l = 2062 - 1337. Suppose 4*n - l = -n. Is n composite? True Suppose 4*m + 32 = 5*w, 3*w + 0*m - m = 15. Suppose 5*l - w*n = 175, 3*n = -3*l + 7*n + 97. Suppose 5*k = 66 + l. Is k composite? True Let a = -6 + 10. Suppose 5*b = -a*p + 87, 5*b - p - 2*p - 101 = 0. Is b a prime number? True Suppose 4*d + 1395 = 9*d. Suppose -t = -140 - d. Is t a composite number? False Let b = 12 + -6. Suppose -b*d + 12 = -2*d. Suppose d*h - 6*w + w - 247 = 0, -3*w = 2*h - 152. Is h composite? False Suppose 7 = 5*b + 5*r - 78, -2*r = -3*b + 71. Let k = 36 - b. Is k a composite number? True Let v(d) = 5*d - 2 + 0 - 2. Suppose 12 + 6 = 3*b. Is v(b) a composite number? True Let x = 138 - -11. Is x composite? False Let y = 7 - 2. Let z(f) = -y*f + 2*f**2 - f**2 + 14 + 4*f. Is z(0) prime? False Let w(z) = -z**3 + 15*z**2 + 15*z - 17. Is w(14) a prime number? True Suppose -3*s + 1203 = -1437. Suppose 2*j = -4*y + 4*j + s, 0 = 3*y + 4*j - 671. Is y a composite number? True Let o(q) = -q + 4. Let y be o(5). Let b be (-2)/((-6)/9) + y. Suppose b*r + 3*t - 108 = 0, 0*t + 149 = 3*r - 2*t. Is r prime? False Suppose 0 = -3*z - 9, -4*z = -3*p - 5*z + 921. Is p/8 + (-1)/(-2) prime? False Let g = -8 - -3. Let a(s) be the first derivative of -s**4/4 - s**3 + 2*s**2 + 7*s - 3. Is a(g) prime? True Let a(y) = 210*y**3 - y + 2. Is a(1) a prime number? True Let j(m) = m**2 + m + 157. Let w(o) = 3*o - 2. Let d be w(2). Suppose d*z = 4*x - 12, 0 = -5*x + 2*z - 0*z + 6. Is j(x) a prime number? True Let d(v) = 5*v**2 + 6*v - 2. Let t be d(-8). Suppose 275 = 4*m - 3*i + 56, -5*i - t = -5*m. Is m composite? True Suppose 2*f - 3*f + 37 = 0. Is f prime? True Suppose -2*m - 3 = -3*m. Suppose -m*j - 188 = -5*z + 92, -202 = -4*z - 2*j. Is z prime? True Suppose x + 1476 =
{ "pile_set_name": "DM Mathematics" }
611, 92603, 143813, 206235? 279863 What is next in -14614, -14287, -13948, -13597, -13234, -12859, -12472? -12073 What is the next term in 1676, 13239, 34688, 66029, 107268, 158411, 219464? 290433 What is the next term in -52053, -37655, -23257? -8859 What is next in 10569, 42529, 95885, 170637? 266785 What is next in -8999, -9211, -9553, -10025, -10627, -11359, -12221? -13213 What comes next: 158359, 158349, 158339? 158329 What is the next term in -482999, -482884, -482687, -482402, -482023, -481544? -480959 What is next in 8673, 33608, 75167, 133350, 208157, 299588? 407643 What is next in -138881256, -277762511, -416643766, -555525021, -694406276, -833287531? -972168786 What comes next: -179417, -179428, -179439? -179450 What is the next term in 134987, 134947, 134861, 134729, 134551, 134327? 134057 What comes next: -89001, -356479, -802281, -1426407, -2228857? -3209631 What comes next: 1176, 1176, 1178, 1182, 1188, 1196, 1206? 1218 What is next in 143679, 282547, 421417, 560289, 699163, 838039? 976917 What is next in 4322, 33350, 112142, 265580, 518546, 895922? 1422590 What is the next term in 349800, 696697, 1043594, 1390491, 1737388? 2084285 What comes next: -50, 694, 1412, 2086, 2698, 3230, 3664? 3982 What is next in -6529282, -13058558, -19587834? -26117110 What is next in -705177067, -705177068, -705177069, -705177070, -705177071? -705177072 What comes next: 223839, 895344, 2014519, 3581364, 5595879? 8058064 What is next in -19771632, -39543262, -59314892, -79086522? -98858152 What comes next: -3607, -13800, -30809, -54640, -85299? -122792 What comes next: 14631981, 14631979, 14631977, 14631975, 14631973, 14631971? 14631969 What is the next term in 12545544, 25091091, 37636638? 50182185 What is next in 147895, 297101, 447615, 599431, 752543, 906945? 1062631 What is the next term in 68297918, 273191680, 614681284, 1092766730, 1707448018, 2458725148, 3346598120? 4371066934 What is the next term in -7099, -8679, -10257, -11833, -13407, -14979, -16549? -18117 What comes next: 3074, 3566, 4400, 5588, 7142, 9074, 11396? 14120 What is next in -19408, -19384, -19334, -19246, -19108? -18908 What is the next term in 269, 356, 417, 440, 413, 324? 161 What is next in -18227, -18385, -18545, -18707, -18871? -19037 What comes next: -2693135, -10772473, -24238033, -43089815? -67327819 What comes next: -46259492, -46259491, -46259490, -46259489? -46259488 What is next in -26739, -53764, -80791, -107820, -134851, -161884? -188919 What is next in -1639774, -6559064, -14757880, -26236222? -40994090 What is next in -285382, -570760, -856138, -1141516, -1426894, -1712272? -1997650 What comes next: 34197, 68455, 102833, 137391, 172189, 207287, 242745? 278623 What comes next: 191763, 766816, 1725237, 3067026, 4792183? 6900708 What comes next: 76594, 76238, 75882, 75526, 75170? 74814 What is the next term in 1382275, 1382337, 1382441, 1382587? 1382775 What is next in -33844, -36184, -40076, -45514, -52492, -61004? -71044 What is the next term in -2790, -2419, -1802, -939, 170? 1525 What is next in -21086824, -21086836, -21086856, -21086884, -21086920, -21086964? -21087016 What is next in 16188, 33190, 50192, 67194? 84196 What is next in -56755, -55789, -54179, -51925, -49027? -45485 What is next in 1721, 2812, 3897, 4976, 6049, 7116? 8177 What is next in 675, 972, 889, 426, -417? -1640 What is next in 6217, 11538, 16857, 22174, 27489? 32802 What is next in 151950, 151893, 151840, 151791, 151746, 151705? 151668 What is the next term in 2024455, 2024452, 2024445, 2024434, 2024419? 2024400 What is next in -139431, -278631, -417827, -557019, -696207, -835391? -974571 What is next in 588960, 589266, 589572, 589878? 590184 What is next in 5498, 5544, 5622, 5738, 5898? 6108 What is next in -32615148, -32615149, -32615150, -32615151, -32615152, -32615153? -32615154 What is next in -6515, -6765, -7505, -8981, -11439, -15125? -20285 What is next in 821206, 821152, 821098, 821044, 820990? 820936 What is the next term in 304253593, 304253592, 304253591, 304253590, 304253589? 304253588 What is next in -37847, -301787, -1018187, -2413277, -4713287, -8144447, -12932987, -19305137? -27487127 What is next in -488, 7066, 19652, 37264, 59896, 87542, 120196? 157852 What is next in -21729, -21937, -22155, -22389, -22645, -22929? -23247 What is the next term in -79224406, -79224401, -79224396, -79224391, -79224386, -79224381? -79224376 What is next in -52316, -52331, -52376, -52463, -52604? -52811 What comes next: 39207, 78104, 116995, 155880, 194759? 233632 What is the next term in 4311513, 8623026, 12934539, 17246052, 21557565? 25869078 What is next in 39250, 157050, 353384, 628252? 981654 What is next in 20996245, 41992533, 62988821, 83985109, 104981397, 125977685? 146973973 What is the next term in 15049, 15987, 16925, 17863, 18801? 19739 What is the next term in 522, 424, 510, 942, 1882? 3492 What is next in 15371, 61494, 138351, 245936, 384243, 553266? 752999 What is the next term in 136567, 273159, 409775, 546415, 683079, 819767? 956479 What is next in 4270, 8345, 12412, 16471, 20522, 24565, 28600? 32627 What is the next term in -4388, -9739, -15090? -20441 What comes next: -3001, -11292, -24955, -43984, -68373? -98116 What comes next: -10380, -20765, -31168, -41601, -52076, -62605, -73200? -83873 What comes next: -268, -2658, -9146, -21784, -42624? -73718 What is next in 585238, 2340930, 5267084, 9363700, 14630778, 21068318? 28676320 What is the next term in -11931, -47867, -107761, -191613, -299423? -431191 What comes next: -105, 319, 743? 1167 What is next in -17879100, -35758200, -53637300, -71516400, -89395500, -107274600? -125153700 What is next in -43548, -87083, -130620, -174159? -217700 What is the next term in -25322023, -50644046, -75966069, -101288092, -126610115, -151932138? -177254161 What is the next term in 91566, 91583, 91600, 91605, 91586, 91531, 91428, 91265? 91030 What comes next: -96763660, -193527318, -290290976? -387054634 What comes next: 5392082, 5392103, 5392136, 5392187, 5392262, 5392367, 5392508, 5392691? 5392922 What comes next: 6662112, 6662110, 6662108? 6662106 What comes next: -71043, -142139, -213233, -284325, -355415, -426503? -497589 What is the next term in -3271, -8181, -14733, -22927, -32763? -44241 What comes next: -584848, -584937, -585160, -585583, -586272, -587293, -588712? -590595 What is next in 9484, 10754, 12024, 13294, 14564? 15834 What comes next: 1139737, 4559064, 10257943, 18236374, 28494357, 41031892? 55848979 What is the next term in 85810538, 85810539, 85810540, 85810541, 85810542, 85810543? 85810544 What is the next term in 521, 4871, 16791, 40067, 78485, 135831, 215891, 322451? 459297 What comes next: -10759, -87705, -296565, -703297, -1373859? -2374209 What is next in 7487, 7155, 6819, 6485, 6159, 5847, 5555, 5289? 5055 What is the next term in 350, 165, -140, -565, -1110, -1775, -2560? -3465 What is next in -2330, -5785, -14642, -31601, -59362, -100625, -158090? -234457 What is next in 4168, 4423, 4854, 5461, 6244, 7203? 8338 What is the next term in 18022503, 36045006, 54067509, 72090012? 90112515 What comes next: -126967, -253934, -380895, -507850, -634799, -761742, -888679? -1015610 What comes next: -15961, -33462, -50963, -68464, -85965, -103466? -120967 What comes next: 4105, 8329, 12641, 17035, 21505, 26045, 30649, 35311? 40025 What comes next: -696, -2791, -6314, -11289, -17740, -25691, -35166, -46189? -58784 What is the next term in 73242, 146450, 219658? 292866 What comes next: -29590, -31760, -33928, -36094, -38258, -40420, -42580? -44738 What is next in -146062, -292358, -438668, -584998, -731354, -877742? -1024168 What is the next term in -200, -888, -2864, -6806, -13392, -23300? -37208 What is next in -8825, -17228, -25213, -32786, -39953, -46720? -53093 What comes next: 369042, 738015, 1106924, 1475769, 1844550, 2213267? 2581920 What is the next term in -552017, -1104038, -1656059, -2208080, -2760101? -3312122 What is next in 6232, 49815, 168120, 398509, 778344, 1344987, 2135800, 3188145? 4539384 What is next in 477010, 954078, 1431150, 1908226, 2385306, 2862390? 3339478 What is next in -1039284, -2078560, -3117838, -4157118, -5196400, -6235684, -7274970? -8314258 What comes next: 3258, 6094, 8930?
{ "pile_set_name": "DM Mathematics" }
. What is the highest common factor of 1242 and o? 23 Let k(j) = -3*j + 40. Let d be k(11). Suppose -d*w + 134 = -377. Calculate the greatest common factor of 146 and w. 73 Let x = -8288 + 14904. What is the greatest common divisor of x and 8? 8 Let f = -25054 - -25103. What is the greatest common divisor of f and 2989? 49 Suppose -75*p + 38282 + 18850 = -6*p. What is the highest common divisor of p and 207? 207 Let p be (-1)/((-5)/(-6) + 1737/(-918) + 1). Calculate the highest common factor of 7939 and p. 17 Let x = 16979 - 5283. What is the highest common divisor of 32 and x? 16 Let m be (9828/(-10))/(-6)*5*(-6)/(-9). Calculate the greatest common divisor of m and 588. 42 Let s(c) = -54 - 126*c - 64 - 36. Let z be s(-3). What is the highest common factor of 48 and z? 16 Suppose -36*c - 51*c = -26*c - 135054. Calculate the greatest common divisor of 1558 and c. 82 Suppose -29236 + 273436 = -4*a. Let d be a/(-231) + (-2)/7. Calculate the highest common factor of d and 22. 22 Suppose 69*y + 21833 = 73*y + 3*h, 0 = 2*h - 6. What is the greatest common divisor of 352 and y? 176 Let k = 53274 + -35382. What is the greatest common divisor of 54 and k? 18 Suppose 0 = -3*z + 4*l + 120 + 942, 5*z + 3*l - 1741 = 0. What is the greatest common divisor of 1120 and z? 70 Suppose 5753 = 158*j + 2593. Let s be (-4)/(-14) + 243/7. What is the highest common factor of j and s? 5 Suppose 0 = 2*i - 1 + 95. Let r = i + 6. Let d = r - -61. What is the highest common divisor of 20 and d? 20 Let g be (-15)/(315/14)*(-108855)/10. Calculate the highest common divisor of 531 and g. 177 Suppose 3*r - f = 260, -r - 110*f = -106*f - 52. Let s(b) = 72*b. Let m be s(2). What is the greatest common divisor of m and r? 12 Let s = -603 + 967. Suppose 35*f = 7*f + s. What is the greatest common divisor of f and 182? 13 Let s(z) = 2*z - 17. Let o be s(11). Suppose 11*i - 8*i - 153 = o*f, -4*i = 4*f - 172. Calculate the highest common divisor of 414 and i. 46 Suppose -3*k + 2903 = 2*v, 4*v + k - 2517 = 3254. Calculate the greatest common divisor of 2 and v. 1 Let v = -119 - -117. Let r(p) = 24*p**2 + 4*p + 10. Let t be r(v). Calculate the highest common divisor of 49 and t. 49 Let g(d) = d**3 - 3*d**2 + 2*d - 6. Let r be g(4). Suppose 280*i - 337*i = -1368. What is the highest common divisor of i and r? 6 Suppose 0 = -j + 2*s + 13, 4*j - j - s - 19 = 0. Suppose w = -z + 98, j*z - 358 - 124 = -w. Calculate the greatest common divisor of 3 and z. 3 Suppose 44*a - 45*a = 26. Let w = -13 - a. Suppose 4 = -2*h + y + w, -3*h + 9 = -3*y. What is the greatest common divisor of 90 and h? 6 Let v be (-54)/(-63) - ((-243270)/(-70))/(-9). Calculate the greatest common factor of v and 9159. 129 Let i be 1249 - 11/((-209)/(-323)). Calculate the greatest common factor of i and 140. 28 Let d be (6/(-9))/(13/(-78)) - -67. Let f(b) = b**3 - 8*b**2 - 10*b + 10. Let v be f(9). Calculate the highest common factor of v and d. 1 Suppose -5*s - j = 3 - 7, -3*s - 2*j + 8 = 0. Let a be -8*(-3)/8 - (-39 + s). What is the greatest common factor of a and 42? 42 Let q be 10/(-45) - 1412/(-36). Suppose -20 = 34*h - q*h. Suppose -h*o + 209 = w, 2*w - o + 0*o = 454. What is the highest common divisor of 25 and w? 25 Suppose 2*x - 8 = -16, -3*x = 3*n - 9387. Calculate the greatest common factor of 208 and n. 13 Let m(i) = -634*i - 372. Let d be m(-14). Calculate the greatest common factor of d and 8. 8 Let r be (693/(-35) - -3)/(2/(-5)). Let m be (72/r)/((-4)/(-42)). Suppose 0 = 5*i - y - 92, -5*y - 6 = -2*y. What is the greatest common factor of i and m? 18 Suppose -4*b = o + 9 - 4, -4*b = -o - 5. Suppose -5*n + 123 = x, 2*x + 13*n - 12*n - 264 = b. Calculate the greatest common factor of 171 and x. 19 Suppose -2*k = 2*k - 152. Let a be ((-307)/(-3377))/(1*(-1)/(-418)). Calculate the highest common factor of a and k. 38 Suppose -33333 = 7664*j - 7669*j - 3*i, 5*i - 5 = 0. What is the highest common factor of j and 22? 22 Let k = 15222 + -13267. Calculate the highest common divisor of k and 5. 5 Let i(j) = j**2 - 5*j - 2. Let d be i(5). Let l = -637 - -649. Let y = l - d. What is the highest common divisor of 112 and y? 14 Suppose 635 = 7*r - 2*r + 5*w, 0 = -5*w - 10. Let y = r - 125. Suppose -2*c - c = 3*u - 63, u - 4*c + 4 = 0. What is the highest common factor of u and y? 4 Let u(m) = -2*m**3 - 84*m**2 + 55*m + 123. Let c be u(-44). What is the greatest common divisor of 13 and c? 13 Suppose 101*r - 99234 = 27*r. What is the highest common factor of 149 and r? 149 Let i = 3537 + -3449. Calculate the highest common divisor of i and 506. 22 Suppose 91 = 19*f - 4. Suppose 0 = -f*l - 2*t + 50, -l + 36 = 5*t + 3. Calculate the highest common factor of l and 10. 2 Suppose -3*y = -18, 6*m - 10*m - 3*y + 882 = 0. What is the highest common divisor of 189 and m? 27 Let r(a) = 6098*a + 42983. Let l be r(-7). Suppose -123 = -5*p - 4*b, 2*b - 126 = -5*p - b. What is the highest common divisor of p and l? 27 Suppose -26932 = -9*q - 16564. Calculate the greatest common divisor of 90 and q. 18 Let x be 43870/110 + (-10)/(-55). What is the greatest common divisor of 119 and x? 7 Let n = 1857670 - 1857656. Suppose -g - d = -3 - 0, -5*g = -3*d + 1. Let j be 70 - g - (0 - 1). What is the greatest common divisor of n and j? 14 Suppose -5*x + 0*x - 4*i = -1996, 4*i + 1204 = 3*x. Let j(o) = 5*o**2 - 4. Let c be j(2). Calculate the highest common factor of x and c. 16 Suppose -5*k + 564 = -2721. Let f(t) = 122*t + 1351. Let j be f(-11). Calculate the highest common divisor of j and k. 9 Let r be (-1689)/(-3) - (-19 - -31). Calculate the greatest common divisor of r and 608. 19 Let p = -23 + 23. Suppose -31*o + 25*o + 192 = p. Suppose 0 = 3*t - 2*t - 80. Calculate the highest common divisor of t and o. 16 Let x(b) = -b**3 + 4*b**2 + 31*b + 11. Let t be x(8). Let s be ((-6)/12)/(t/(-60)). What is the greatest common divisor of s and 4? 2 Let z = -920 - -606. Let k = -158 - z. Let o be -1 + k/2 + 4. Calculate the greatest common factor of 9 and o. 9 Suppose -21*k + 22*k + 4*d - 459 = 0, 0 = 2*k + 2*d - 918. Calculate the highest common divisor of 531 and k. 9 Suppose t - n = 37 - 14, 0 = -4*t + 3*n + 89. Let u be 5/t*1/(2/872). Suppose 6*j - 71 = u. What is the highest common divisor of 45 and j? 15 Suppose 0 = 4*w + q + 9, 1 = 2*q + 3. Let v be (((-120)/(-21))/w)/((-80)/280). Calculate the highest common factor of v and 45. 5 Suppose 19*z + 56 - 170 = 0. Suppose -2*t + 1800 = z*t. Calculate the greatest common divisor of 50 and t. 25 Let o(u) = -30*u**3 + 6*u**2 + 2*u - 2. Let l be o(-1). Suppose -4*i - 2*t + 2180 = -3*t, -4*t - 2736 = -5*i. What is the highest common factor of l and i? 32 Suppose 1406 = -85*x - 79*x + 12886. What is the highest common factor of x and 890? 10 Let x(c) = c**2 - 861*c - 8686. Let m be x(-10). Calculate the greatest common divisor of m and 4952. 8 Let x = 171 - 168. Let n(v) = v**3 - 3*v**2 + 2*v - 5. Let z be n(x). Calculate the highest common factor of 52 and z. 1 Let p = 12 - -76. Let n(v) = 3*v - 15. Let d(t) = 10*t - 45. Let o(w) = 2*d(w) - 7*n(w). Let z be o(7). Calculate the greatest common divisor of z and p. 8 Let o = -57 - -32. Let t = o + 38. Suppose 18*g = 547 + 389. What is the greatest common factor of t and g? 13 Suppose d + 8 = -d. Let g = 7 + d. Suppose 68 = 2*v - 4*q, 10 = -0*q - 2*q. Calculate the highest common divisor of v and g. 3 Suppose 4*r + 26 = 2*s, s + 5*r = 16 + 4. Let t = -322 + 325. Suppose p = -5*f - 5, 0*p = t*p - 4*f - 80. What is the highest common factor of s and p? 5 Let g = 1292 - 6801. Let k be g/(-9) + 2/(-18). Calculate the greatest common factor of 36 and k. 36 Suppose 0 = 91*a + 78*a + 24*a - 12352. Let q be 2397/15 + (-2)/(-10). What is the greatest common divisor of a and q? 32 Let s(f) be the first derivative of -3*f**2/2 + 39*f + 57. Let o be s(0). Calculate the highest common divisor of o and 3. 3 Let s = 5417 + -5389. Calculate the greatest common factor of s and 450. 2 Suppose h - 2*k - 64 = 0, 0 = -17*h + 14*h + 2*k + 164. What is the greatest common divisor of h and 2175? 25 Suppose 3*u + 2*i - 16709 = 4*i, u - 2*i - 5559 = 0. What is the greatest common divisor of u and 223? 223 Let y = -3829 - -5189. What is the greatest common divisor of 1105 a
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 129027317? 179, 197, 3659 List the prime factors of 69230467. 71, 113, 8629 List the prime factors of 89691521. 89691521 What are the prime factors of 2283805077? 3, 761268359 List the prime factors of 593040499. 239, 2481341 What are the prime factors of 7596442569? 3, 2532147523 List the prime factors of 1867233640. 2, 5, 46680841 What are the prime factors of 136088017? 13, 10468309 What are the prime factors of 100584121? 11, 17, 537883 What are the prime factors of 662234776? 2, 7, 11825621 List the prime factors of 76678200. 2, 3, 5, 41, 1039 What are the prime factors of 40653302? 2, 29, 700919 What are the prime factors of 97006411? 5569, 17419 List the prime factors of 73287649. 1259, 58211 List the prime factors of 1383313014. 2, 3, 76850723 What are the prime factors of 1095948603? 3, 541, 75029 List the prime factors of 3094983787. 7, 442140541 What are the prime factors of 33839930? 2, 5, 83, 40771 What are the prime factors of 13947171? 3, 7, 664151 List the prime factors of 30581180. 2, 5, 7, 218437 What are the prime factors of 78241575? 3, 5, 1043221 What are the prime factors of 63809745? 3, 5, 313, 13591 What are the prime factors of 52730890? 2, 5, 19, 277531 What are the prime factors of 95396045? 5, 947, 20147 List the prime factors of 37915214. 2, 109, 173923 List the prime factors of 349957425. 3, 5, 101, 46199 What are the prime factors of 45812212? 2, 17, 397, 1697 What are the prime factors of 44028556? 2, 11, 13, 31, 191 What are the prime factors of 111742193? 111742193 What are the prime factors of 79771098? 2, 3, 11, 523, 2311 List the prime factors of 112851879. 3, 7, 173, 31063 List the prime factors of 1206669697. 1206669697 List the prime factors of 1331538672. 2, 3, 5237, 5297 What are the prime factors of 1520057413? 7, 661, 328519 What are the prime factors of 24822823? 107, 113, 2053 List the prime factors of 1234892135. 5, 157, 1573111 What are the prime factors of 224584607? 13, 311, 4273 What are the prime factors of 134593695? 3, 5, 107, 27953 What are the prime factors of 219770843? 337, 457, 1427 What are the prime factors of 50499009? 3, 11, 47, 10853 What are the prime factors of 2610886545? 3, 5, 58019701 What are the prime factors of 5040167520? 2, 3, 5, 29, 362081 What are the prime factors of 1351256599? 7, 11, 113, 155299 What are the prime factors of 3317217503? 67, 1223, 40483 List the prime factors of 207764388. 2, 3, 13, 443941 List the prime factors of 75911184. 2, 3, 527161 List the prime factors of 982564940. 2, 5, 7, 7018321 What are the prime factors of 4081982008? 2, 13, 131, 299617 What are the prime factors of 1755470635? 5, 31, 11325617 List the prime factors of 183801248. 2, 5743789 List the prime factors of 48409335. 3, 5, 13, 83, 997 List the prime factors of 76735403. 76735403 What are the prime factors of 28609605? 3, 5, 47, 167 List the prime factors of 2582875298. 2, 23, 31, 61, 1291 List the prime factors of 88598811. 3, 7, 602713 What are the prime factors of 212115876? 2, 3, 7, 2525189 List the prime factors of 928232541. 3, 79, 48353 What are the prime factors of 1512019606? 2, 31, 103, 236771 List the prime factors of 681198180. 2, 3, 5, 13, 873331 List the prime factors of 983890963. 11, 17, 173, 1789 What are the prime factors of 1156536526? 2, 59, 9801157 What are the prime factors of 512864288? 2, 16027009 List the prime factors of 137299225. 5, 7, 17, 19, 347 What are the prime factors of 240557108? 2, 11, 5467207 List the prime factors of 81002349. 3, 31, 10753 What are the prime factors of 360816290? 2, 5, 5701, 6329 List the prime factors of 532181660. 2, 5, 26609083 List the prime factors of 77539586. 2, 38769793 List the prime factors of 11856915. 3, 5, 7, 12547 What are the prime factors of 148222733? 421, 352073 What are the prime factors of 202064? 2, 73, 173 What are the prime factors of 264652496? 2, 991, 16691 List the prime factors of 56104877. 56104877 What are the prime factors of 237982267? 9551, 24917 List the prime factors of 518187910. 2, 5, 2083, 24877 What are the prime factors of 21929235? 3, 5, 17, 23, 3739 What are the prime factors of 623479561? 23, 27107807 What are the prime factors of 275802351? 3, 11, 67, 79, 1579 List the prime factors of 264979551. 3, 103, 857539 List the prime factors of 45150690. 2, 3, 5, 13, 115771 What are the prime factors of 3355910235? 3, 5, 643, 115981 List the prime factors of 395733514. 2, 11, 17, 47, 479 List the prime factors of 4457055398. 2, 173, 12881663 What are the prime factors of 26448512? 2, 127, 1627 List the prime factors of 37610655. 3, 5, 53, 47309 What are the prime factors of 1008030805? 5, 201606161 What are the prime factors of 14632548? 2, 3, 7, 174197 List the prime factors of 155667647. 31, 5021537 List the prime factors of 579140905. 5, 7, 16546883 List the prime factors of 4211762142. 2, 3, 7, 6053, 16567 What are the prime factors of 4948051192? 2, 7, 88358057 List the prime factors of 1985902775. 5, 79436111 List the prime factors of 1960580416. 2, 181, 169249 What are the prime factors of 36388826? 2, 18194413 List the prime factors of 1820054129. 67, 83, 327289 List the prime factors of 135552582. 2, 3, 11, 228203 What are the prime factors of 1192005453? 3, 61, 6513691 What are the prime factors of 1647379310? 2, 5, 164737931 What are the prime factors of 930232896? 2, 3, 797, 6079 What are the prime factors of 2722697691? 3, 7, 457, 40529 What are the prime factors of 254266494? 2, 3, 42377749 List the prime factors of 33434121. 3, 7, 17, 787 What are the prime factors of 367191115? 5, 73438223 List the prime factors of 84198071. 103, 817457 List the prime factors of 719911437. 3, 7, 79, 433943 List the prime factors of 343010597. 191, 1795867 List the prime factors of 22458346. 2, 11229173 List the prime factors of 881162830. 2, 5, 127, 693829 What are the prime factors of 669152264? 2, 11, 29, 197 List the prime factors of 3710467235. 5, 742093447 What are the prime factors of 301672706? 2, 1103, 136751 List the prime factors of 3096207995. 5, 6263, 98873 List the prime factors of 4215269300. 2, 5, 11, 631, 6073 What are the prime factors of 925984589? 19, 409, 119159 What are the prime factors of 101568945? 3, 5, 6771263 What are the prime factors of 305562661? 305562661 List the prime factors of 337133395. 5, 2053, 32843 List the prime factors of 207313251. 3, 5741, 12037 List the prime factors of 10284561. 3, 7, 23321 What are the prime factors of 1837512379? 1837512379 What are the prime factors of 338983113? 3, 7, 163, 167, 593 List the prime factors of 26408552. 2, 113, 131, 223 What are the prime factors of 68060837? 13, 271, 19319 List the prime factors of 2455453513. 487, 5041999 What are the prime factors of 261862684? 2, 5647, 11593 What are the prime factors of 6106065928? 2, 763258241 What are the prime factors of 228542640? 2, 3, 5, 19, 50119 What are the prime factors of 2159466196? 2, 983, 549203 What are the prime factors of 1953009043? 1953009043 What are the prime factors of 148428224? 2, 7, 17, 19489 What are the prime factors of 4535345612? 2, 7, 17, 29, 101, 3253 List the prime factors of 211701930. 2, 3, 5, 11, 641521 What are the prime factors of 481920154? 2, 240960077 List the prime factors of 65134217. 107, 113, 5387 List the prime factors of 120958735. 5, 37, 653831 List the prime factors of 90003558. 2, 3, 43, 348851 List the prime factors of 352481026. 2, 17, 23, 643, 701 List the prime factors of 1309808179. 163, 317, 25349 List the prime factors of 44374494. 2, 3, 7395749 What are the prime factors of 805269392? 2, 31, 239, 6793 List the prime factors of 437129362. 2, 1217, 179593 List the prime factors of 2960843674. 2, 37, 40011401 List the prime factors of 2142021282. 2, 3, 357003547 List the prime factors of 6695219. 6695219 List the prime factors of 56832194. 2, 107, 265571 What are the prime factors of 2589471046? 2, 1229, 1053487 What are the prime factors of 109866115? 5, 21973223 List the prime factors of 45796220. 2, 5, 23, 29, 3433 List the prime factors of 85460989. 17, 5027117 List the prime factors of 226132398. 2, 3, 465293 What are the prime factors of 52251994? 2, 421, 62057 List the prime factors o
{ "pile_set_name": "DM Mathematics" }
? r**3 + 171*r + 52 What is the a'th term of 81837, 163675, 245513? 81838*a - 1 What is the r'th term of -3449, -3439, -3421, -3395, -3361, -3319? 4*r**2 - 2*r - 3451 What is the s'th term of -1353, -1362, -1375, -1392? -2*s**2 - 3*s - 1348 What is the y'th term of -50, -181, -388, -671, -1030, -1465, -1976? -38*y**2 - 17*y + 5 What is the b'th term of 761, 1529, 2307, 3089, 3869? -b**3 + 11*b**2 + 742*b + 9 What is the b'th term of -2600, -2599, -2598, -2597, -2596, -2595? b - 2601 What is the l'th term of -570, -1164, -1774, -2400, -3042? -8*l**2 - 570*l + 8 What is the v'th term of -542, -963, -1384, -1805, -2226? -421*v - 121 What is the t'th term of 1372, 1403, 1432, 1459? -t**2 + 34*t + 1339 What is the n'th term of 52943, 52962, 52993, 53036? 6*n**2 + n + 52936 What is the h'th term of 4615, 4546, 4477, 4408, 4339? -69*h + 4684 What is the s'th term of 429, 433, 439, 447, 457, 469, 483? s**2 + s + 427 What is the f'th term of 4784, 9567, 14362, 19175, 24012, 28879? f**3 + 4776*f + 7 What is the n'th term of 685, 661, 637? -24*n + 709 What is the j'th term of 238, 483, 728, 973, 1218? 245*j - 7 What is the h'th term of -256, -380, -582, -862, -1220? -39*h**2 - 7*h - 210 What is the p'th term of -11281, -11260, -11239? 21*p - 11302 What is the j'th term of -71, -154, -255, -368, -487? j**3 - 15*j**2 - 45*j - 12 What is the m'th term of 5285, 10586, 15887? 5301*m - 16 What is the q'th term of -1013, -2065, -3121, -4181? -2*q**2 - 1046*q + 35 What is the u'th term of 76, 537, 1778, 4189, 8160, 14081, 22342? 65*u**3 + 6*u + 5 What is the h'th term of 154, 339, 620, 1003, 1494, 2099, 2824, 3675? h**3 + 42*h**2 + 52*h + 59 What is the a'th term of 2624, 5269, 7932, 10613, 13312, 16029? 9*a**2 + 2618*a - 3 What is the y'th term of -907, -1546, -2185, -2824, -3463? -639*y - 268 What is the i'th term of 31, 139, 337, 637, 1051, 1591? 2*i**3 + 33*i**2 - 5*i + 1 What is the s'th term of 7782, 7897, 8012, 8127? 115*s + 7667 What is the p'th term of 1032, 1129, 1238, 1365, 1516, 1697? p**3 + 90*p + 941 What is the c'th term of -2255, -2262, -2269, -2276? -7*c - 2248 What is the h'th term of -3922, -3982, -4042, -4102, -4162? -60*h - 3862 What is the f'th term of -309, -327, -355, -399, -465, -559, -687? -f**3 + f**2 - 14*f - 295 What is the d'th term of -68894, -68890, -68884, -68876, -68866, -68854, -68840? d**2 + d - 68896 What is the t'th term of 760, 1068, 928, 340, -696? -224*t**2 + 980*t + 4 What is the d'th term of -142, -720, -2142, -4828, -9198? -70*d**3 - 2*d**2 - 82*d + 12 What is the i'th term of -170311, -170294, -170277, -170260, -170243, -170226? 17*i - 170328 What is the z'th term of -72, -426, -1372, -3204, -6216? -49*z**3 - 2*z**2 - 5*z - 16 What is the f'th term of 854644, 854646, 854648? 2*f + 854642 What is the m'th term of -70252, -70251, -70250, -70249, -70248, -70247? m - 70253 What is the o'th term of -552671, -1105343, -1658015? -552672*o + 1 What is the l'th term of 242, 458, 650, 806, 914, 962, 938, 830? -2*l**3 + 230*l + 14 What is the k'th term of 1538, 3135, 4732, 6329? 1597*k - 59 What is the z'th term of 2754, 2786, 2814, 2838, 2858? -2*z**2 + 38*z + 2718 What is the k'th term of -6153, -24598, -55335, -98358, -153661, -221238? k**3 - 6152*k**2 + 4*k - 6 What is the f'th term of -1984, -3954, -5924, -7894, -9864, -11834? -1970*f - 14 What is the v'th term of 913, 3667, 8267, 14719, 23029, 33203? v**3 + 917*v**2 - 4*v - 1 What is the o'th term of 261, 456, 573, 612, 573, 456, 261? -39*o**2 + 312*o - 12 What is the h'th term of -23357, -23545, -23733, -23921, -24109, -24297? -188*h - 23169 What is the g'th term of 14, 105, 230, 389, 582? 17*g**2 + 40*g - 43 What is the z'th term of 47, 241, 577, 1055? 71*z**2 - 19*z - 5 What is the h'th term of 239, 821, 1745, 2975, 4475, 6209, 8141, 10235? -6*h**3 + 207*h**2 + 3*h + 35 What is the k'th term of -88, -422, -978, -1756, -2756, -3978? -111*k**2 - k + 24 What is the q'th term of 59, 46, 33, 20, 7? -13*q + 72 What is the m'th term of -353880, -707759, -1061640, -1415523, -1769408, -2123295? -m**2 - 353876*m - 3 What is the b'th term of -234, -625, -1178, -1893, -2770? -81*b**2 - 148*b - 5 What is the c'th term of 30837, 30843, 30849, 30855? 6*c + 30831 What is the a'th term of -277308, -554626, -831944, -1109262, -1386580, -1663898? -277318*a + 10 What is the q'th term of 3018746, 3018745, 3018744, 3018743, 3018742, 3018741? -q + 3018747 What is the x'th term of -23219, -23209, -23185, -23141, -23071, -22969, -22829, -22645? x**3 + x**2 - 23221 What is the o'th term of 38, 143, 300, 497, 722, 963? -2*o**3 + 38*o**2 + 5*o - 3 What is the z'th term of 32781, 65568, 98355, 131142? 32787*z - 6 What is the t'th term of -11905, -11894, -11897, -11920, -11969? -t**3 - t**2 + 21*t - 11924 What is the k'th term of 310, 482, 654, 826, 998, 1170? 172*k + 138 What is the y'th term of 20907, 20911, 20915, 20919, 20923? 4*y + 20903 What is the m'th term of -2016, -2010, -2004, -1998, -1992? 6*m - 2022 What is the s'th term of 22926, 45860, 68804, 91758? 5*s**2 + 22919*s + 2 What is the r'th term of -106, -400, -892, -1582, -2470? -99*r**2 + 3*r - 10 What is the h'th term of 11827899, 11827898, 11827897, 11827896, 11827895, 11827894? -h + 11827900 What is the g'th term of -293, -586, -879, -1172, -1465, -1758? -293*g What is the m'th term of 44317, 44310, 44303, 44296? -7*m + 44324 What is the m'th term of 1588, 6361, 14320, 25465? 1593*m**2 - 6*m + 1 What is the w'th term of 1638, 6444, 14468, 25722, 40218, 57968, 78984, 103278? 2*w**3 + 1597*w**2 + w + 38 What is the n'th term of 81899, 81897, 81895? -2*n + 81901 What is the p'th term of -133, -112, -61, 32, 179, 392, 683, 1064? 2*p**3 + 3*p**2 - 2*p - 136 What is the a'th term of 3603, 7371, 11147, 14937, 18747, 22583, 26451, 30357? a**3 - 2*a**2 + 3767*a - 163 What is the v'th term of 93207, 93208, 93209, 93210? v + 93206 What is the p'th term of 30, 83, 152, 237? 8*p**2 + 29*p - 7 What is the t'th term of 7069718, 7069716, 7069714, 7069712, 7069710? -2*t + 7069720 What is the y'th term of -42707, -42614, -42511, -42392, -42251, -42082, -41879, -41636? y**3 - y**2 + 89*y - 42796 What is the z'th term of 51, 231, 701, 1605, 3087? 24*z**3 + z**2 + 9*z + 17 What is the j'th term of -63, -28, 41, 150, 305, 512? j**3 + 11*j**2 - 5*j - 70 What is the q'th term of 382, 384, 386, 388? 2*q + 380 What is the t'th term of -23917, -23927, -23951, -23995, -24065? -t**3 - t**2 - 23915 What is the z'th term of 11944, 23827, 35706, 47581, 59452, 71319, 83182? -2*z**2 + 11889*z + 57 What is the n'th term of 3, -8, -23, -42? -2*n**2 - 5*n + 10 What is the c'th term of -662, -489, -316, -143? 173*c - 835 What is the p'th term of 21, -6, -111, -336, -723? -7*p**3 + 3*p**2 + 13*p + 12 What is the d'th term of 129, 284, 467, 690, 965, 1304, 1719, 2222? 2*d**3 + 2*d**2 + 135*d - 10 What is the n'th term of 219836, 219828, 219814, 219794, 219768, 219736, 219698? -3*n**2 + n + 219838 What is the s'th term of -518922, -518927, -518932, -518937? -5*s - 518917 What is the d'th term of 20034, 20114, 20194? 80*d + 19954 What is the q'th term of 1248107, 1248104, 1248099, 1248092, 1248083, 1248072? -q**2 + 1248108 What is the i'th term of -1496, -1477, -1444, -1397, -1336, -1261, -1172? 7*i**2 - 2*i - 1501 What is the q'th term of 77498, 154995, 232490, 309983, 387474, 464963? -q**2 + 77500*q - 1 What is the l'th term of 134658, 269304, 403950? 134646*l + 12 What is the j'th term of 849, 1761, 2675, 3591, 4509? j**2 + 909*j - 61 What is the n'th term of -2411, -4760, -7101, -9428, -11735? n**3 - 2*n**2 - 2350*n - 60 What is the y'th term of -720, -1519, -2860, -4749, -7192, -10195? -y**3 - 265*y**2 + 3*y - 457 What is the t'th term of 2022, 8038, 18046, 32046, 50038? 1996*t**2 + 28*t - 2 What is the s'th term of 36, 45, 78, 153, 288, 501, 810? 3*s**3 - 6*s**2 + 6*s + 33 What is the v'th term of 173712, 347411, 521094, 694755, 868388? -v**3 - 2*v**2 + 173712*v + 3 What is the f'th term of -412, -1325, -2238, -3151? -913*f + 501 What is the y'th term of 1658, 1881, 2066, 2195, 2250, 2213? -3*y**3 - y**2 + 247*y + 1415 What is the k'th term of -16590, -66276, -149080, -264996, -414018, -596140, -811356, -1059660? k**3 - 16565*k**2 + 2*k - 28 What is the x'th term
{ "pile_set_name": "DM Mathematics" }
igit of x? 9 Suppose 8*x = 5*x + 30. Let v = -9 + x. What is the units digit of (2 - 1)*v - -1? 2 Suppose -2*x - 2*z = -0*x - 2452, 3*z = x - 1246. What is the tens digit of x? 3 Let x = 1 - 0. Suppose -38 = -6*v - 56. What is the units digit of (v + 2)*(-23)/x? 3 Suppose 2*u + 3*l - 2318 = 0, 4*u + 34*l = 33*l + 4636. What is the thousands digit of u? 1 Let q(v) = 4 + 5*v**3 + 6*v - 21*v**3 - 8*v**2 + 15*v**3. Let u = -3 - 6. What is the tens digit of q(u)? 3 Suppose -30*y + 84569 = -20161. What is the thousands digit of y? 3 Let x be 6/(-4) + 27/18. Suppose x = 4*h + 16. What is the units digit of ((-6)/h)/((-3)/(-54))? 7 What is the thousands digit of (1199 - 1)/(35/70)? 2 Let z = -494 - -911. What is the tens digit of z? 1 Let c(t) = 4*t**3 - 26*t**2 - 15*t - 6. What is the tens digit of c(8)? 5 Let f be (-22)/(1*(-4 - -2)). Let t = f + -22. Let x = t + 39. What is the units digit of x? 8 Let l be 6/(-14) + (-34)/(-14). Suppose -103 - 397 = l*p. What is the units digit of 16/(-10)*p/20? 0 Let u = -24 + 126. What is the units digit of u? 2 Let u(n) = -5*n + 13. Let o(y) = -y. Let c(z) = -6*o(z) + u(z). Let j be c(6). What is the tens digit of 3*(-1 + j)/3? 1 Suppose 0 = -m - 3*u + 11, 3*m + 2*u + 3 - 15 = 0. Suppose 5*j = 3*r + 84, 5*j = -m*r - 3*r + 60. What is the units digit of j? 5 Suppose -4*s - 4*s + 4696 = 0. What is the units digit of s/6 - 5/(-30)? 8 Let b(l) = -l**2 - 12*l - 18. Let d be b(-8). Let o(n) = -n**3 + 16*n**2 - 24*n - 20. What is the tens digit of o(d)? 3 Let g be 19*2*(-1 + (-7)/2). What is the tens digit of g/76*296/(-3)? 2 Suppose 4*o + 0*o + 316 = 0. Let c = o - -124. Suppose -c = -3*y + 6. What is the units digit of y? 7 Let j(f) = -11*f + 512. What is the tens digit of j(-34)? 8 Let x(u) be the first derivative of -u**2/2 + 5*u - 5. Let j be x(3). What is the units digit of (-7)/(-7) - (j + -38)? 7 Let r(x) = -x**3 - 7*x**2 + 13. What is the hundreds digit of r(-10)? 3 Let s(f) = f**3 + 7*f**2 + 4*f - 2. Let v be s(-6). Let y be 190/(-25) - 4/v. Let q = -2 - y. What is the units digit of q? 6 Let s(v) = 107*v + 125. What is the thousands digit of s(14)? 1 Suppose -400 = 5*h - 4*p - 1255, -4*h = -p - 695. What is the tens digit of h? 7 Let q = -433 + 740. Suppose -q - 333 = -4*n. Suppose 8*r = 13*r - n. What is the tens digit of r? 3 Let z be (-44)/(-20) + -3 - 18996/(-20). Suppose 0 = j - 4 + 5. What is the tens digit of (z/26)/(j/(-2))? 7 Let x(a) = -a**3 - 4*a**2 + 39*a + 8. What is the units digit of x(-12)? 2 What is the units digit of -1*(-4)/((-24)/(-66))? 1 Let r = 170 - -657. What is the hundreds digit of r? 8 What is the hundreds digit of -3 + 64/20 - 364176/(-120)? 0 Suppose -2*j - 3*r + 17 = -48, -43 = -j - 5*r. What is the units digit of j? 8 Let c = -1500 + 2386. What is the hundreds digit of c? 8 What is the hundreds digit of 12/((10/(-39))/(-5))? 2 Let c = 2679 + -1434. What is the tens digit of c? 4 Suppose 0 = 2*w - 21 + 9. What is the units digit of (w - 0)*282/18? 4 Suppose -2*y + 3745 = 5*y. What is the tens digit of y? 3 Suppose 7 = 2*l + 1. Suppose 672 = l*x + 4*c - 2*c, -4*x + 900 = 4*c. Suppose x = 5*s + s. What is the units digit of s? 7 Let o(r) = 2*r + 12. Let k be o(3). Suppose -k*l + 6*l + 2496 = 0. What is the tens digit of l? 0 Let s = -39 + -138. What is the units digit of (-8 + 6)/(6/s)? 9 Let s = 199 - -143. What is the hundreds digit of s? 3 What is the tens digit of (-86534)/147*(-2 + (-3)/(-6))? 8 Let k be 524/(3/(-6)*4). Let v = k + 387. What is the tens digit of v? 2 Let m(i) = -i**2 + 10*i - 11. Let v be m(8). Suppose 2*x - 31 = v. What is the units digit of x? 8 Let m(y) be the third derivative of y**5/60 - y**4/24 - 2*y**3 - 7*y**2. Let n be m(5). Suppose -n*v + 3*v = -170. What is the units digit of v? 4 Suppose 6*s - 104 = 4*s. Suppose -2*a = -3*w + s, -3*w - 2*a + 0*a = -68. What is the tens digit of w? 2 Let o(c) = 29*c**2 + 35*c**2 - 3*c**2 - 1. Let w be o(1). Suppose 2*v = j + 24, -4*v - v + 4*j + w = 0. What is the units digit of v? 2 Let k = 33 - 29. Suppose -k*i + 24 + 44 = 0. What is the units digit of i? 7 Suppose 50*b = 49*b + 10. Suppose b*y = -233 + 2323. What is the hundreds digit of y? 2 Let l be 2/7 + (-288)/126. What is the tens digit of 19 - ((l - 2) + 8)? 1 Let y(i) = i**3 + 10*i**2 - 13*i - 15. Suppose s + 3*s = -4*w + 176, 132 = 3*s - 4*w. Suppose g - s = 5*g. What is the units digit of y(g)? 7 Let y(k) = k**3 + 34*k**2 + 115*k - 2. What is the thousands digit of y(-25)? 2 Let n(u) = -4*u - u**3 - 4*u + 17 - 10 - 3*u - 11*u**2. What is the units digit of n(-10)? 7 Suppose 0 = 4*o - o. Suppose o - 4 = -d. What is the units digit of 163/7 - d/14? 3 Let p = 20 + 175. What is the hundreds digit of p? 1 Suppose -3*a + 456 = -9*j + 10*j, -5*a = -15. What is the units digit of j? 7 Let o be (-2)/(-10) - -3*(-801)/15. Let l = o - -354. What is the units digit of l? 4 Let w be (-2)/(-8) + 19/4. Suppose -v + 21 = 6*v. Suppose -v*t - 6 + 161 = 4*h, t = w*h - 189. What is the units digit of h? 8 Let u = -48 + 34. Suppose 3*x - w = 1, 4*w + 18 = 4*x + 6*w. What is the tens digit of u/((-2)/(x + 0))? 1 Let k = 1408 - 944. Suppose -2*l - k = -4*l. Suppose 0 = -5*r + l + 13. What is the units digit of r? 9 Let w(t) = -t**3 + 17*t**2 + 15*t - 22. What is the tens digit of w(17)? 3 Let v = 151 + 801. What is the units digit of v? 2 Suppose -4*a = 0, 8*s = 12*s - 3*a - 808. What is the tens digit of s? 0 Suppose 10*m - 18378 = 4912. What is the thousands digit of m? 2 Let h(p) = 1 + 5 - 34*p**2 + 37*p**2 + p. What is the tens digit of h(-3)? 3 Suppose -3*i + 16*i = 7332. What is the hundreds digit of i? 5 Let j(y) = y**3 + 9*y**2 + 7*y + 9. Suppose 0 = -4*d + r + 12, 0 = -2*d - 2*d - 4*r - 8. Suppose d*c = -4, -c - 23 = 3*m - 0. What is the units digit of j(m)? 8 Let q(z) be the second derivative of -z**5/20 + z**4/2 - 5*z**3/6 + 3*z**2/2 - 6*z. Let d be q(5). Suppose 0 = -m - d*m + 48. What is the tens digit of m? 1 Let h = 29 + -12. Let m = h - -4. Let z = m - 1. What is the tens digit of z? 2 Suppose 2*u + o = 1092, 95 + 462 = u - 5*o. What is the hundreds digit of u? 5 Let s be (0 - 1) + (-1 - 13). Suppose 0 = 3*c - h - 57, c + 6 = 2*c + 4*h. Let x = s + c. What is the units digit of x? 3 Let d(g) = -49*g**3 + 1. Let q be (-1 + -13)/((-6)/(-3)). Let i = q - -6. What is the units digit of d(i)? 0 Suppose 5 = 5*v, -2*v - 343 = b - 4*b. Suppose b = -4*s + 547. What is the tens digit of s? 0 Let s(f) be the second derivative of f**7/1260 - f**6/360 - f**4/3 - 6*f. Let o(g) be the third derivative of s(g). What is the tens digit of o(3)? 1 Suppose 0 = 4*x + 3*v + 15, -2*x - 10 = 2*v - 0. Suppose x = 3*h + h. Suppose f - t - 36 = h, 0 = 4*f - f - 4*t - 108. What is the units digit of f? 6 Let i(g) = -g - 15. Let t be i(-18). Suppose -o - t = -32. What is the tens digit of o? 2 Suppose -4*b = 6*l - 2*l - 1068, -4*l + 3*b = -1033. What is the tens digit of l? 6 Suppose -475 = -16*c + 11*c. Suppose -5*l - 2*r + c = 3*r, 14 = l + 2*r. What is the units digit of l? 4 Let p = -437 + 514. What is the tens digit of p? 7 Let j = -302 + 921. What is the tens digit of j? 1 Let u(z) be the first derivative of z**6/360 + z**5/120 - z**4/4 - 4*z**3 + 5. Let w(t) be the third derivative of u(t). What is the units digit of w(-4)? 6 Let q = 29 - 24. Suppose 2*p + 8 = 0, 2*n + q*p - 241 = -n. What is the tens digit of n? 8 Let s(g) = 1029*g**2 + g - 8. What is the units digit of s(-2)? 6 Suppose 0 = -4*z + 5*w + 26, -4*z - 6*w + w = -6. Let q(d) = d**2 - 2*d + 3. What is the tens digit of q(z)? 1 What is the hundreds digit of (0 - 0) + -22 + 2021? 9 Let l = 574 + 7. Suppose 3*f = -4*r - 75 + 531, -f = 5*r - l. What is the tens digit of r? 1 Suppose 2*c + 3*c = -4*l + 16, -16 = -4*l + c. Suppose 0 = 2*z - 4*d + 30, -l*d - d + 95 = -5*z. Let k = -12 - z. What is the units digit of k? 1 Let g be (4/(-12))/(2/(-18)). Suppose c - 224 = 2*l + 3*c, -g*l - 4*c = 334. What is the tens digit of 7/35 - l/5? 2 Let n(r) = r**3 - 34*r**2 + r + 126. What is the units digit of n(34)? 0 Suppose -3*d = 15, 3*o + d = 2*d + 1601. What is the tens digit of o? 3 Suppose 0 + 12 = -3*x. What is the units digit of -2 + (-3 - (x - 5))? 4 Suppose y + 3*s - 93 = 0, 0*y + y - 4*s = 72. Suppose r = y - 19. What i
{ "pile_set_name": "DM Mathematics" }
i? 14/323 Four letters picked without replacement from {l: 1, h: 1, b: 2, m: 1}. What is prob of picking 2 b, 1 m, and 1 h? 1/5 Two letters picked without replacement from axaxx. What is prob of picking 2 x? 3/10 Two letters picked without replacement from {k: 2, r: 1, m: 5, l: 2, c: 4}. What is prob of picking 2 l? 1/91 Calculate prob of picking 2 y when two letters picked without replacement from hhyyhhy. 1/7 Two letters picked without replacement from {d: 1, v: 1, l: 3}. What is prob of picking 1 v and 1 d? 1/10 Four letters picked without replacement from qvvqqcqcv. What is prob of picking 2 v and 2 q? 1/7 Calculate prob of picking 1 f and 1 e when two letters picked without replacement from efdddddfeee. 8/55 What is prob of picking 2 g when two letters picked without replacement from {d: 1, g: 12}? 11/13 What is prob of picking 3 r when three letters picked without replacement from wmmmrmzzmsrzzs? 0 Three letters picked without replacement from gefifuuefefwffg. Give prob of picking 1 g and 2 u. 2/455 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {o: 2, h: 1, e: 6, d: 1, q: 5}. 1/21 Calculate prob of picking 1 t, 1 l, and 1 k when three letters picked without replacement from kllkktkkktttktt. 12/65 Three letters picked without replacement from {g: 12, y: 6}. What is prob of picking 3 g? 55/204 Four letters picked without replacement from {d: 7, u: 4}. Give prob of picking 4 u. 1/330 What is prob of picking 2 c when two letters picked without replacement from {c: 9}? 1 Two letters picked without replacement from {b: 4, o: 7, d: 1, p: 1, z: 2}. What is prob of picking 1 b and 1 o? 4/15 What is prob of picking 3 c and 1 g when four letters picked without replacement from {g: 10, c: 9}? 70/323 Two letters picked without replacement from uuppepppnpupnpenpp. What is prob of picking 1 p and 1 e? 20/153 What is prob of picking 2 h and 2 z when four letters picked without replacement from {n: 8, z: 5, m: 1, h: 5}? 25/969 What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 2, r: 4}? 8/15 Two letters picked without replacement from tbpty. Give prob of picking 1 p and 1 b. 1/10 Three letters picked without replacement from nnnchcnnnnnnnhc. What is prob of picking 3 n? 24/91 Two letters picked without replacement from {x: 4, c: 2, o: 1, a: 1}. Give prob of picking 1 x and 1 o. 1/7 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xbxbxkmbqxm. 12/55 Three letters picked without replacement from {l: 6, y: 5, x: 2, w: 3, z: 2}. Give prob of picking 1 z and 2 w. 1/136 Three letters picked without replacement from gpggpgt. What is prob of picking 1 t and 2 p? 1/35 Two letters picked without replacement from tttttttxttttttttttt. What is prob of picking 2 t? 17/19 What is prob of picking 2 g and 1 k when three letters picked without replacement from kkkkgkggkg? 3/10 Two letters picked without replacement from {x: 1, j: 2, s: 1, n: 1, m: 1, e: 1}. Give prob of picking 1 j and 1 e. 2/21 What is prob of picking 1 u and 1 l when two letters picked without replacement from uqutuuluuwuuuulutu? 8/51 Two letters picked without replacement from {o: 3, x: 2, v: 1, l: 1}. What is prob of picking 2 o? 1/7 Three letters picked without replacement from ciiiwuuwinw. What is prob of picking 2 i and 1 n? 2/55 Two letters picked without replacement from nnqwqnwnqwwn. Give prob of picking 2 n. 5/33 Three letters picked without replacement from myyymnlmny. What is prob of picking 1 l and 2 m? 1/40 Three letters picked without replacement from aaaalaaaaaaaaaaaaa. Give prob of picking 2 a and 1 l. 1/6 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from ifiooiiuoifuiiu. 2/15 Two letters picked without replacement from lbbgl. What is prob of picking 1 g and 1 l? 1/5 Four letters picked without replacement from traururrt. Give prob of picking 2 r and 2 t. 1/21 What is prob of picking 1 r, 1 v, and 1 w when three letters picked without replacement from rwcwffvwrqrww? 15/286 Three letters picked without replacement from {m: 5, z: 13, r: 2}. What is prob of picking 1 z, 1 r, and 1 m? 13/114 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nciciicniiicccccc. 9/68 Calculate prob of picking 1 k, 1 a, and 1 f when three letters picked without replacement from nkckanafnfnknan. 18/455 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 4, f: 2, a: 8, s: 1}. 8/105 Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {s: 2, f: 4}. 1/5 Calculate prob of picking 3 m when three letters picked without replacement from {m: 10}. 1 Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {r: 2, v: 1, k: 1, c: 2, u: 1}. 1/35 Calculate prob of picking 2 l and 2 n when four letters picked without replacement from llllnlllln. 2/15 Calculate prob of picking 1 b, 1 g, and 1 j when three letters picked without replacement from bxrfrrffgbj. 2/165 Three letters picked without replacement from wbwbbbw. What is prob of picking 3 w? 1/35 Two letters picked without replacement from wioixxixoiw. What is prob of picking 2 o? 1/55 What is prob of picking 1 u and 1 o when two letters picked without replacement from {y: 1, u: 1, f: 1, o: 2, v: 2, g: 2}? 1/18 Two letters picked without replacement from kqvkqvkvv. What is prob of picking 1 v and 1 q? 2/9 Three letters picked without replacement from bbbvvb. What is prob of picking 3 b? 1/5 Two letters picked without replacement from {d: 1, j: 1, r: 1, w: 11, e: 2}. What is prob of picking 1 e and 1 j? 1/60 Four letters picked without replacement from aaaaaaa. What is prob of picking 4 a? 1 Three letters picked without replacement from {k: 9, a: 4, v: 6}. Give prob of picking 3 v. 20/969 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, v: 8, i: 2, r: 6}. 4/51 What is prob of picking 2 a, 1 v, and 1 x when four letters picked without replacement from vwaxaxvhhhhx? 2/165 Calculate prob of picking 4 i when four letters picked without replacement from {q: 2, r: 2, i: 7}. 7/66 Three letters picked without replacement from {m: 1, w: 1, e: 1, i: 2, r: 1, q: 1}. Give prob of picking 1 e, 1 w, and 1 m. 1/35 Two letters picked without replacement from {c: 14, k: 5, y: 1}. Give prob of picking 1 y and 1 k. 1/38 What is prob of picking 2 t and 1 q when three letters picked without replacement from tpttqttttptttt? 55/364 Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {t: 5, v: 5, r: 3, k: 5, c: 2}. 3/38 What is prob of picking 2 b when two letters picked without replacement from ixxxbbiooxoobbssxssx? 3/95 Two letters picked without replacement from jejeejeekkeje. What is prob of picking 1 e and 1 j? 14/39 What is prob of picking 3 x and 1 s when four letters picked without replacement from {s: 1, x: 4, a: 6}? 2/165 What is prob of picking 2 v when two letters picked without replacement from {j: 5, v: 2}? 1/21 Three letters picked without replacement from {e: 4, c: 10, d: 5}. What is prob of picking 1 c, 1 e, and 1 d? 200/969 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {w: 2, i: 3, f: 2, n: 6}. 2/39 Two letters picked without replacement from ohhoxshhhhs. What is prob of picking 2 s? 1/55 Two letters picked without replacement from ttttxtxtxxttttxttxx. What is prob of picking 2 t? 22/57 Two letters picked without replacement from jjtttjjjjtujtt. What is prob of picking 1 t and 1 u? 6/91 What is prob of picking 2 o and 1 h when three letters picked without replacement from oooohhohoooooooooho? 140/323 Calculate prob of picking 2 y and 2 l when four letters picked without replacement from {y: 5, l: 2}. 2/7 Calculate prob of picking 1 l, 1 k, and 1 v when three letters picked without replacement from {k: 4, v: 1, l: 6}. 8/55 Two letters picked without replacement from zmyznzznz. Give prob of picking 2 n. 1/36 Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 1, a: 4, l: 3, s: 2}. 1/15 Four letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }