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scaling_mia_the_pile_00_DM_Mathematics

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Suppose 3*q = -g - 6, -q - 31*g - o = -36*g. Sort q, -6, 6. -6, q, 6 Let o(s) = -2*s**3 - 4*s**2 - 107*s - 355. Let t be o(-4). Put t, 5, 2 in decreasing order. t, 5, 2 Suppose 10217*t - 10205*t = -120. Put 97, t, -2 in descending order. 97, -2, t Let z = -335 + 1482. Let g = 1116.94 - z. Let c = -30 - g. Sort -4, -2, c. -4, -2, c Let m = 1448 - 917.2. Let w = -532 + m. Sort w, 2/7, 6/11 in decreasing order. 6/11, 2/7, w Suppose -3*g = -0 - 12. Let k(f) = -f**3 + 3*f**2 + 27*f - 18. Let a be k(7). Put g, 2, a, -4 in decreasing order. g, 2, -4, a Let x = -2.35 + 2.61. Let o = -0.74 - x. Sort 5, o, 0.3, -3/35 in descending order. 5, 0.3, -3/35, o Let t = 11 + -6. Suppose -u + 24*l + 18 = 29*l, 2*l - 6 = 0. Sort u, 0, t, -1 in ascending order. -1, 0, u, t Let p be (-64)/(-224) + 23502/14. Let f be 6/20 - p/730. Put f, 2, -21, 3 in increasing order. -21, f, 2, 3 Let d be -1*12/(-5) + 24*3/120. Sort -7, d, -0.8. -7, -0.8, d Let b be ((-1)/(-1) - 1)*(-526)/(-1052). Sort b, 5, 45 in decreasing order. 45, 5, b Suppose 3*x - 3 = 2*q, x + q + 1 - 2 = 0. Let f be (28/(-16) - -2*x)*-1. Put -1, 0.3, f, -2/181 in decreasing order. 0.3, -2/181, f, -1 Suppose -405 = -5*i - 480. Let s be (-12)/i + (2 - 55/(-25)). Let k = 6.7 - 7. Sort s, 0.4, k. k, 0.4, s Let f = -8.473 - -8.4. Let n = f + 2.073. Let z = -31.6 + 32. Sort 1/2, z, n, -2/11 in ascending order. -2/11, z, 1/2, n Let n = -2 + 1. Let b be (-3657)/92 - (-3)/(-12). Let k be (b/(-45)*-3)/((-4)/(-6)). Sort k, 8, n in ascending order. k, n, 8 Let h(q) = -q**2 - 4*q - 5. Let k be h(-3). Let z = -74 - -69. Sort z, k, -1 in ascending order. z, k, -1 Let y = 88 - 110. Let g = -27 - y. Let d = -3.3 + 7.3. Sort g, d, 0 in descending order. d, 0, g Let y be 2*1/2 + (-9 - -1). Let i(w) = -w**3 - 6*w**2 + 2*w - 31. Let g be i(y). Put -2, 0, g in descending order. g, 0, -2 Suppose -5*m + 15 = 4*h, -h + 5*m - 24 + 9 = 0. Let g be 104/(-84)*3 - (-2)/(-7). Put -11, g, h in ascending order. -11, g, h Suppose 115*x + 292 - 407 = 0. Sort 0, x, -271 in decreasing order. x, 0, -271 Let i(b) = 16*b**2 + 11*b + 109. Let r be i(-5). Let p = 445 - r. Put -3/4, p, 0.1 in increasing order. p, -3/4, 0.1 Let a = -3671/20 - -919/5. Sort -0.4, -2/7, a, 4, -3/4 in descending order. 4, a, -2/7, -0.4, -3/4 Let p(c) = -c**2 + 37*c - 300. Let i be p(25). Sort 949, -4, 2, i, 1 in decreasing order. 949, 2, 1, i, -4 Let m = 16498 + -16500. Suppose 3*q + 15 = 3*y, -q = -4*y - 3 + 8. Let p be 15/(-6)*6/q. Sort 2, p, m, -3 in increasing order. -3, m, 2, p Let n = -0.9 - -0.7. Let d = -0.72065 - -0.02065. Put 10, d, n in increasing order. d, n, 10 Let j = 50 - 58. Let m = -12 - j. Sort 0.5, -2/13, m, 9. m, -2/13, 0.5, 9 Let x(i) = 2*i**2 - 116*i - 4. Let d be x(58). Put 5, d, 0, -12 in decreasing order. 5, 0, d, -12 Let n = 9 - 7. Let p(b) = 6*b + 52. Let s be p(-8). Suppose -s*a - 20 = -l - 6, -2*a - 2*l - 2 = 0. Sort n, a, 0 in descending order. n, 0, a Let c = 51.7 + -52.131. Let u = -31.431 - c. Put -0.2, u, 0.4 in increasing order. u, -0.2, 0.4 Suppose 14*l + 205 = 55*l. Let p be (1/3)/(3/(-18)). Put 63, 2, l, p in decreasing order. 63, l, 2, p Let b be (2/5 - 0)/(55/(-880)*-32). Sort 2, b, -2.154, 1/6 in decreasing order. 2, b, 1/6, -2.154 Let z = 20208.3 + -19330. Let w = -804 + z. Let o = w + -74. Put -0.3, o, -2/9 in increasing order. -0.3, -2/9, o Suppose -5*i = 41 + 34. Let d be 94/6 - -2 - 78/117. Let q = i + d. Sort q, -5, 3 in decreasing order. 3, q, -5 Suppose 2*x - 3 = -2*r - 25, 3*r - 4*x + 47 = 0. Suppose -j - 1 = -0. Sort -3, r, j, 4 in descending order. 4, j, -3, r Let g = -10 + 7. Let j(p) = -p + 13. Let o = -58 - -66. Let f be j(o). Sort g, 1/3, f in descending order. f, 1/3, g Let l(k) = -76 - 6*k - 25*k + 28*k. Let q be l(-24). Put 11, q, 0 in decreasing order. 11, 0, q Suppose 150*g + 22 = 128*g. Put g, 3, -71 in increasing order. -71, g, 3 Let s = -72 + 75. Let b be (-5 - -2)*(s + -2). Put -1, b, 4, 0 in descending order. 4, 0, -1, b Let y = -184 + 179. Suppose -1 - 4 = 5*x + 2*r, r = -4*x - 7. Let l be (4/5)/(((-165)/75)/11). Sort l, x, -9, y in ascending order. -9, y, l, x Let x = 13932/143 + -1070/11. Put x, 113, -2 in increasing order. -2, x, 113 Let l = 20.14456 - 0.14456. Sort -2, l, 36 in increasing order. -2, l, 36 Let h = -755 + 9061/12. Put -0.2, 1.8, -1/3, h, -4/9 in ascending order. -4/9, -1/3, -0.2, h, 1.8 Let d be (-11 - (-4 + 2))/1. Let s = -74.698 - -75.698. Put 4, s, d in decreasing order. 4, s, d Let i = 11 - 14. Let b(r) = r**2 - 13*r + 19. Let d(a) = -1. Let g(p) = -b(p) - 2*d(p). Let h be g(11). Sort i, h, -4 in ascending order. -4, i, h Suppose 0*j = 2*l - j - 29, l - 4*j - 18 = 0. Suppose 5*n + 8 = i, 3*i + n - 6*n - l = 0. Let r = 0.02 - -0.08. Sort i, r, -4 in increasing order. -4, r, i Let l be (-28)/16 - (1449/36 - -10). Suppose 10 = -4*x - q - 0*q, 2*x - 5*q = 6. Sort -3, x, l. l, -3, x Let z = -661.42575 + 0.02575. Let q = z - -661. Sort q, -4/7, -9/8 in ascending order. -9/8, -4/7, q Let k = 545/1496 + 2/187. Let x = 9757 - 9754. Put x, -3, k, -1 in descending order. x, k, -1, -3 Let k be (-2)/(-7) - 981/(-21). Let s(z) = -3*z**3 - 119*z**2 + 35*z - 203. Let x be s(-40). Sort 3, x, k in ascending order. x, 3, k Let n = 0 + 2. Let d be 7*(4374/(-504))/81. Sort 2/7, n, -0.3, d. d, -0.3, 2/7, n Let l = -64 + 68. Suppose 5*o + 0*k - 32 = 4*k, -5*k - 19 = -o. Suppose 3*y - 19 = -4*j - 4, -j + 7 = o*y. Put l, 5, j in decreasing order. 5, l, j Let u be 5/2 - ((-803)/(-66) - 9). Put 167, u, 1/9 in ascending order. u, 1/9, 167 Let b = 39 - 2. Let l be b/5 - (-27)/45. Suppose 2*s + 4*t = 4*s + 12, -3*s - l = 4*t. Sort 12, s, -5 in descending order. 12, s, -5 Suppose 10*z + 1808 = -282. Let c be (-380)/z + (-2)/(-11). Suppose 0 = -p + c*p. Put p, -1, 7/4 in ascending order. -1, p, 7/4 Let s be 2/(-8) + (-61)/(-4). Let b be 3/(-6)*(1 - 1). Suppose 70*a + 104*a + 217 - 856 = -39*a. Sort s, b, a in descending order. s, a, b Let x = -278 - -209. Let h be (128/96)/((-4)/x). Sort 4, -2, h, 5. -2, 4, 5, h Let o = 134 + -190. Let q(j) = -2*j**3 + 30*j**2 - 4*j + 64. Let g be q(15). Sort g, o, 3. o, 3, g Suppose 320*z - 231 + 924 = -267. Sort z, -182, -2 in ascending order. -182, z, -2 Let s = -25 - -48. Suppose 5*t = s + 2. Suppose -u + 2*u - t*i + 5 = 0, -u - i + 1 = 0. Put 3, u, 2 in decreasing order. 3, 2, u Suppose 0 = 26*t - 22*t + 8. Let i be 16/(-6) + t/(5 - 6). Let p = -32 - -31. Sort i, -5, p, -3 in decreasing order. i, p, -3, -5 Suppose -70 = -h - 74. Let l(j) = 2*j**2 + 14*j + 5. Let w be l(-7). Sort w, h, -10 in decreasing order. w, h, -10 Let q(o) = o**3 + 30*o**2 - 364*o - 505. Let j be q(-39). Sort -12, 114, j in ascending order. -12, j, 114 Let n(t) = -t**3 + 9*t**2 - 9*t + 6. Let u be n(8). Let a = -0.032 + -2.068. Let w = a - -2.28. Put u, 0.3, w in increasing order. u, w, 0.3 Let m be (-5)/(-5) + (13/(-4))/(-13). Let j = 5 + -9. Let k = 23 + -21. Put 4, j, m, k in increasing order. j, m, k, 4 Let g(f) = f**3 - 6*f**2 + 4*f + 3. Let c be g(5). Let a = 8650 - 8650. Put a, c, 5, -3 in descending order. 5, a, c, -3 Suppose 5*i - 12 - 11 = -p, 4*i - 2*p - 24 = 0. Sort i, -51, 1, 0 in decreasing order. i, 1, 0, -51 Suppose -10*u - l + 20 = 2, 0 = -2*u + 3*l + 10. Let s = 9 - 3. Suppose -1 = 5*j - s. Put u, -1, j in descending order. u, j, -1 Suppose -2*j = 5*t + 31, -4*j = -5*j + 2. Sort -4, t, 3, 2, -20 in descending order. 3, 2, -4, t, -20 Let i(t) = -5*t**2 + 9*t - 5. Let m(g) = -g**3 - 7*g**2 + 6*g - 12. Let d be m(-8). Let v be i(d). Let x = -54 - v. Sort -3, x, 12. x, -3, 12 Let b be (32/(-20))/((-21)/(1050/(-20))). Sort 4, -283, 0, b in ascending order. -283, b, 0, 4 Let z(n) = n**3 + 15*n**2 - 12*n + 18. Let v be z(-16). Let q = 99 + v. Suppose q*d = 52*d + 1. Sort d, 5, 4 in ascending order. d, 4, 5 Suppose -a = -1527 + 2461. Let i = -935 - a. Put 3, 10, 0, i in increasing order. i, 0, 3, 10 Let o = 193.8 + -194. Put -1/14, -130, o in decreasing order. -1/14, o, -130 Let n = 3 + -2.7. Let w = -0.18874 + -0.31126. Sort -6, w, n, -1/11. -6, w, -1/11, n Let q = 1296.5 - 1071. Let v = q + -225. Sort v, -0.06, 2 in descending order. 2, v, -0.06 Let h be 8 + ((-4940)/325 - 7/(-1)). Suppose 3*a = 5*a. Put h, 0.5, -2, a in descending order. 0.5, a, h, -2 Let n = 253.3 + 126.4. Let o = n +
{ "pile_set_name": "DM Mathematics" }
= -4*m + 11 for m. -1 Solve -3*u - 54 = 2*v - 28, 0 = 4*v - 3*u + 16 for v. -7 Solve 0 = -2*b - 3*y + 5, 5 = b - 768*y + 772*y for b. 1 Solve 3*w - 15 = 0, -2*u - 2*u + 5*u - 5*w + 3 = 0 for u. 22 Solve -11*v = -8*v + q - 23 + 12, -5*v + 28 = -8*q for v. 4 Solve 13*t + 55 = -3*o, t - 66 = -5*o - 75 for t. -4 Solve -59*b + 9 = -56*b, 0 = -2*t - 3*b + 5 for t. -2 Solve -3*l = 4*m - 6 + 11, -12*l = -3*m + 96 for m. 4 Solve 0 = 79*u - 77*u + 4*t + 30, -8*u + 4*t - 80 = 0 for u. -11 Solve 6430*m + 25 = 6425*m + 5*z, -5*m - 2*z - 4 = 0 for m. -2 Solve -p = 5*i + 22, -13*p = -10*p - 3*i - 6 for p. -2 Solve 11*k - 20 = 18*x - 17*x, 2*x + 4*k = 12 for x. 2 Solve -44*s - 39 = 4*g - 49*s, 5*g - 31 = -s for g. 4 Solve -136 = -9*l + 8, -3547 = -4*h - 3*l - 3491 for h. 2 Solve -3*m + 6 = -3*o, -2*m - 5829*o = -5824*o + 3 for m. 1 Solve 4 = -3*o - 77*w + 79*w, w = -w + 10 for o. 2 Solve -64*k - 52 = 2*a - 66*k, 3*a - 7*k = -82 for a. -25 Solve 1339*j - 26 = -s + 1344*j, -s - 4*j = -17 for s. 21 Solve -4*t = 5*w + 37, -9 = -45*t + 46*t + w for t. -8 Solve 5*g = 2*b + 25, 7990*g = -4*b + 7987*g - 11 for b. -5 Solve 0 = -4*m - 8, 3*m - 268 + 278 = -2*j for j. -2 Solve 5*d + 2*k = -27, -90*k = -2*d - 89*k for d. -3 Solve 3*m + 6*p + 27 = 0, -51*m + 7*p + 44 = -52*m for m. 5 Solve 3*d - 3637 = -5*w - 3629, 2 = w + d for w. 1 Solve u = p + 11, -3*p - 54 = -2*u - 36 for u. 15 Solve -4*z = 2*y + 14, 11 = -361*z + 357*z - 3*y for z. -5 Solve 2*i + 10 = 0, -o - 5*i + 50 = -64 + 136 for o. 3 Solve -3*p - i = 1190 - 1172, -p - 14 = 3*i for p. -5 Solve 5 = 5*y, -3*x + 1 = 4*y - 6*y for x. 1 Solve -1106*i - 5*f = -1102*i - 16, 5*f - 20 = -5*i for i. 4 Solve 2*d + 3*m = -16, 3*m = 2*d - 17 + 21 for d. -5 Solve 29 = -r + 5*v - 10*v, -5*r + v = 3*v - 6*v for r. -4 Solve 3*g + 8292 = 3*q + 8253, -2*q = 2*g + 18 for g. -11 Solve 20 = -4*a + 4*m, 4*a = 5575*m - 5570*m - 19 for a. -6 Solve -3 = -o - 625*i + 623*i, 0 = 2*o - i - 6 for o. 3 Solve -5*v = 59*k - 56*k - 24, -2*v = 4*k - 18 for k. 3 Solve 107*q = w + 108*q - 2, 10*w + 3*q = 41 for w. 5 Solve 0 = 3*t - y, -14*y + 7*y = 3*t - 9*y - 3 for t. -1 Solve -4*c + 555 - 555 = -5*z, 2*c - 30 = -5*z for c. 5 Solve 4*q = 20, -4*q + 35 = -591*x + 594*x for x. 5 Solve 0 = -2*t - 3*r + 34, 2*r = 2473*t - 2471*t + 6 for t. 5 Solve 4 = 2*o + k, 2*o - 4*k + 2 = -14 for o. 0 Solve -4*r = -3*p - 17, 3*p + 608*r = 613*r - 22 for p. 1 Solve 5*j = 2*x - 29, j - 4*x + 15 = x for j. -5 Solve -3*v + 22*t = 26*t + 15, -5*v + 2*t = 25 for v. -5 Solve 5 = -8*f + 6*f + u - 5, 0 = -2*f - 5*u + 14 for f. -3 Solve -344*u + 6 = -343*u, 9*u - 60 = 2*y for y. -3 Solve g + 9 = 2639*u - 2638*u, 0 = 15*g + 3*u - 45 for g. 1 Solve 0 = -2*s + 2*i - 24, -3*s - 68 = -8*s - 3*i for s. 4 Solve -4*l + 1893 = -3*v + 1820, -74 = 2*v - 4*l for v. 1 Solve -34*o + 3*t - 3 = -36*o, 3*t + 3 = 0 for o. 3 Solve 97*l - 92*l = u + 18, 5*u = l + 6 for u. 2 Solve 0 = 4*n + 5*g - 90, -6104*n + 6108*n + g - 18 = 0 for n. 0 Solve -2*k + 4*d - 54 + 84 = 0, 4*k = 4*d + 36 for k. 3 Solve 2749*m - 2747*m = -2*j + 8, 5*m = 2*j - 22 for j. 6 Solve 13*h - 14*h - 11 = -3*l, -6*h - l = 47 for h. -8 Solve -5 = -5*d + 3*j, -85*d + 58 = -27*d - j for d. 1 Solve 2*q - 12 = -3*n, 3*q + 821 = 4*n + 805 for q. 0 Solve -15*c + 12347*b - 12346*b + 140 = 0, 4*b = 3*c - 47 for c. 9 Solve 40*o = -2*m - 1043 - 7, 4*m = -5*o - 150 for o. -26 Solve -5*j - 293 + 313 = y, 5*y - 5*j + 50 = 0 for y. -5 Solve y = 36*r - 40*r - 48, -5*r = -y + 69 for r. -13 Solve -5*z - 13 = 2*i, -19*z + 5*i = -16*z + 45 for z. -5 Solve 5*h + 3*s + 34 = 0, -12*h - 5*s = -14*h + 67 for h. 1 Solve 5*m - 5171*f + 5168*f = 33, 4*f + 34 = 5*m for m. 6 Solve 0 = -68*o + 73*o + 2*t, t = 3*o for o. 0 Solve -3*a = -22*f - 17, 351 = -5*f + 3*a + 368 for f. -2 Solve 4*r - 8 = -h + 2*h, 0 = -5*r + 3*h - 4 for r. 4 Solve 2*t + 2*b = 4, 20*t - 120 = -t + 5*b for t. 5 Solve -3*t + 592 = 2*u + 583, 0 = u + 7*t - 21 for u. 0 Solve 75 - 55 = 4*a + 4*o, -3*a + 2*o = -5 for a. 3 Solve 4*h - 17 = -h - 2*j, 7*h - j = 2*h + 14 for h. 3 Solve 795 - 673 = 10*p + z, 5*p + 3*z = 66 for p. 12 Solve 36 = -4*s - 3*i, -2*i + 155 = 3*s + 182 for s. -9 Solve 5*y + 7044*u - 7039*u = -20, 4*y + u + 7 = 0 for y. -1 Solve -9*a = 2*v - 4*a - 25, -5*a + 40 = -v for v. -5 Solve v + 15 = 5*f, 5*f - 4*v - 150810 = -150780 for f. 2 Solve 19 = -26*v + 25*v + 7*j, 4*v - 3*j = -26 for v. -5 Solve 172 = -5*r - 4*c + 165, -r - 2*c - 5 = 0 for r. 1 Solve 1334*z + 32 = 3*i + 1338*z, 5*i - 55 = -5*z for i. 12 Solve 3146*k = 3145*k + 2*g - 1, 4 = 2*k + 2*g for k. 1 Solve x - 5*a = 5*x + 52, x - 13*a = 66 - 22 for x. -8 Solve 5*i = 3*z - 19, -5*i + 2*z - 92 = -71 for i. -5 Solve -11*t = -5*g - 76 - 4, -15 = -g - 4*t for g. -5 Solve 5*o + 21 = -2*p, -27300 = p + 7*o - 27267 for p. 2 Solve 5*a + 10*k = -45, -3*k + 6 = 353*a - 358*a for a. -3 Solve 2*b - 8 = 0, 4*n + 249*b - 248*b - 20 = 0 for n. 4 Solve 8*c - g - 2 = 7*c, -32 = 4*c + 4*g for c. -3 Solve 35*p + 3*f = 38*p + 60, 0 = -57*p - 4*f - 164 for p. -4 Solve -m + 8 = m, 2042 - 2054 = -2*g + 2*m for g. 10 Solve h + 5 = -179*g + 183*g, h - 5*g = -6 for h. -1 Solve x - 8 = j, 11*x - 17 = -j + 23 for x. 4 Solve 4*z = 5*o + 3, 0 = -o + 34*z - 32*z - 3 for o. 1 Solve 71*k - 75*k = -3*z + 31 - 3, -5*k - 5 = 0 for z. 8 Solve -2*z + 70*w - 69*w - 7 = 0, -3*z - 4*w - 27 = 0 for z. -5 Solve -4*m + 3*y = 31, 5*y - 10769 + 10736 = 2*m for m. -4 Solve 3*z + 34*w + 134 = 0, z - 3*w + 8*w + 13 = 0 for z. 12 Solve 20*b - 63 = j, 8*j - 10*b = -13*b - 15 for j. -3 Solve t - 18 = 3*j - 21, -5*j = -t - 3 for t. -3 Solve 4*y - 12 = -4*o, 668*y - 663*y + 4*o - 13 = 0 for y. 1 Solve -5*p - 50 = -4*j, 5*p - 102 = j - 137 for j. 5 Solve -10*k = -2*v - 12*k + 4, -6 = -5*v - 4*k for v. -2 Solve 25*v = -3*d + 24*v - 23, 0 = -d - 11*v - 93 for d. -5 Solve h - 10 = -2*y, -2*y - 10*h - 5695 = -5687 for y. 6 Solve -2*i + 4*o - 92 = -104, 2*i = 3*o + 7 for i. -4 Solve 0 = c - 6*c + 4*q + q, -4*c - 12 = 5*q + 15 for c. -3 Solve 0 = 5*u + 2*r - 32, u + 21890*r = 21886*r + 64 for u. 0 Solve -4*c - 25 - 16 = 3*u, -2*c - 19 = u for u. -3 Solve 3*h - 3*z = 24, -4*z + 3 = 52*h - 51*h for h. 7 Solve 0 = 4*s - 2*n + 6 - 4, 5*s - 1 = 2*n for s. 3 Solve -5*j = -635*t + 633*t + 40, -2*j - 40 = 4*t for t. -5 Solve -r - 2*r = 5*z, 4*z + 30054*r - 30053*r = -7 for z. -3 Solve 2*p = 2*g, -4*p + g - 10 + 22 = 0 for p. 4 Solve -1137*h + 1132*h - 29 = 4*a, 3*a - 3*h = 12 for a. -1 Solve 2*v + 4 = -4*o, 12*o - 3*v + 34 = 10*o for o. -5 Solve 5*f = 4*t + 40, 119*f + 2 = -2*t + 117*f for t. -5 Solve -19*y - 4*j = -12, 2*y - 10*j + 14*j - 12 = 0 for y. 0 Solve -3*m = -4*j - 13, 4 = 4*m - 6*j + 4*j for m. -1 Solve -4*n - 36 = 4*o, -13 = 3*o + 5*n + 36 for o. 2 Solve 2*n - 2 = 2*p, -120*p + 115*p = -3*n - 7 for n. 6 Solve -3*i + 2*h + 23 = 0, -i + 57*h - 55*h = -9 for i. 7 Solve 0 = -u - 4*f + 8, 42*u = 47*u - f + 2 for u. 0 Solve -5*x + 486*j = 481*j + 40, 4*x - 5*j = -39 for x. -1 Solve 5*n + 4 = g, -2*n - 1890 - 1888 = -2*g - 3778 for n. -1 Solve 2*i + 1035 = t + 1028, 0 = -4*i - t - 23 for i. -5 Solve 5*p = 3*z - 4, -373*z + 2*p - 66 = -338*z for z. -2 Solve -15*b + 11*b - 4*w - 20 = 0, b - 3*w = -9 for b. -6 Solve -3*s = -79*l + 85*l - 33, 0 = -5*l + 2*s + 5 for l. 3 Solve -3*s - 178 = 3*y - 157, 8*s = -3*y - 46 for s. -5 Solve 5*q + 20 = 2*u, -25*u + 22*u - 4*q = 39 for u. -5 Solve -1123*c = -1127*c - 5*o + 3, 3*o = 5*c + 24 for c. -3 Solve -5*v - 72 = -4*p - 77, -2*v = -5*p - 2 for v. 1 Solve 2*b = c - 15, -637*c + 56 = -4*b - 633*c for b. -1 Solve 5*n - 4*h - 263 + 231 = 0, -7 = 5*n - h for n. -4 Solve 134*q + 3*y - 5 = 132*q, 4*q + 2*y - 14 = 0 for q. 4 Solve 23*k = 3 + 135, 5*k - 28 = 2*j for j. 1 Solve -5*s + 5*c + 13971 - 13806 = 0, 5*c + 165 = -3*s for s. 0 Solve 3*j = -4*x + 7, -59*j + 56*j - x - 5 = 0 for j. -3 Solve 3*o = -4*r + 34 - 84, 64 = 3*r - 5*o for r. -2 Solve 5*s = 3*j + 34, 4*j + 74*s + 38 = 77*s for j. -8 Solve 3*f + 8 - 3 = -l, -9 = -5*l + 2*f for l. 1 Solve -3*h = 5*n + 71, 74*h + 56 = 3*n + 70*h for n. -4 Solve -4*d - x + 18 = 0, -d + 11 = -1038*x + 1035*x + 26 for d. 3 Solve -4*m + 85 = 245*q - 244*q, -5*q - m + 26 = 0 for q. 1 Solve 4*v - 19 - 9 = -4*d, -4*d - v = -1 for d. -2 Solve -14500*g - 2*h - 16 = -14505*g, -3*h - 13 = -2*g for g. 2 Solve
{ "pile_set_name": "DM Mathematics" }
ainder when 1320 is divided by 39. 33 Calculate the remainder when 412 is divided by 210. 202 Calculate the remainder when 432 is divided by 129. 45 Calculate the remainder when 183 is divided by 22. 7 Calculate the remainder when 426 is divided by 246. 180 What is the remainder when 108 is divided by 49? 10 What is the remainder when 18199 is divided by 325? 324 What is the remainder when 53061 is divided by 9? 6 What is the remainder when 271 is divided by 93? 85 Calculate the remainder when 212 is divided by 57. 41 What is the remainder when 24122 is divided by 8039? 5 Calculate the remainder when 163 is divided by 24. 19 What is the remainder when 1157 is divided by 353? 98 What is the remainder when 132 is divided by 49? 34 Calculate the remainder when 1524 is divided by 139. 134 What is the remainder when 283 is divided by 81? 40 Calculate the remainder when 95 is divided by 36. 23 What is the remainder when 12657 is divided by 60? 57 Calculate the remainder when 380 is divided by 175. 30 What is the remainder when 10761 is divided by 26? 23 Calculate the remainder when 237 is divided by 34. 33 What is the remainder when 494 is divided by 110? 54 What is the remainder when 143 is divided by 42? 17 What is the remainder when 27 is divided by 2? 1 What is the remainder when 1385 is divided by 73? 71 Calculate the remainder when 1506 is divided by 154. 120 What is the remainder when 3369 is divided by 10? 9 Calculate the remainder when 1360 is divided by 52. 8 What is the remainder when 268 is divided by 92? 84 What is the remainder when 37651 is divided by 77? 75 Calculate the remainder when 30 is divided by 26. 4 Calculate the remainder when 13 is divided by 8. 5 What is the remainder when 5105 is divided by 74? 73 Calculate the remainder when 1035 is divided by 340. 15 What is the remainder when 719 is divided by 18? 17 What is the remainder when 383 is divided by 194? 189 What is the remainder when 17 is divided by 6? 5 Calculate the remainder when 465 is divided by 9. 6 Calculate the remainder when 465 is divided by 47. 42 Calculate the remainder when 43 is divided by 8. 3 What is the remainder when 4 is divided by 3? 1 What is the remainder when 1463 is divided by 25? 13 Calculate the remainder when 556 is divided by 113. 104 What is the remainder when 1773 is divided by 38? 25 What is the remainder when 1547 is divided by 2? 1 Calculate the remainder when 1650 is divided by 19. 16 Calculate the remainder when 864 is divided by 33. 6 What is the remainder when 193 is divided by 66? 61 Calculate the remainder when 1397 is divided by 78. 71 Calculate the remainder when 1424 is divided by 469. 17 Calculate the remainder when 63 is divided by 8. 7 What is the remainder when 398 is divided by 25? 23 What is the remainder when 191 is divided by 166? 25 Calculate the remainder when 4838 is divided by 110. 108 What is the remainder when 618 is divided by 50? 18 Calculate the remainder when 2904 is divided by 32. 24 Calculate the remainder when 57714 is divided by 35. 34 Calculate the remainder when 799 is divided by 49. 15 Calculate the remainder when 249 is divided by 67. 48 What is the remainder when 162 is divided by 42? 36 Calculate the remainder when 152 is divided by 34. 16 Calculate the remainder when 31 is divided by 13. 5 What is the remainder when 1194 is divided by 134? 122 What is the remainder when 918 is divided by 232? 222 What is the remainder when 842 is divided by 38? 6 Calculate the remainder when 16 is divided by 6. 4 What is the remainder when 905 is divided by 6? 5 Calculate the remainder when 16798 is divided by 168. 166 What is the remainder when 207 is divided by 17? 3 What is the remainder when 641 is divided by 17? 12 Calculate the remainder when 350 is divided by 16. 14 What is the remainder when 3148 is divided by 75? 73 Calculate the remainder when 446 is divided by 32. 30 What is the remainder when 103 is divided by 53? 50 Calculate the remainder when 384 is divided by 90. 24 Calculate the remainder when 86 is divided by 47. 39 Calculate the remainder when 671 is divided by 342. 329 What is the remainder when 25949 is divided by 50? 49 Calculate the remainder when 1330 is divided by 22. 10 What is the remainder when 840 is divided by 31? 3 Calculate the remainder when 244 is divided by 240. 4 What is the remainder when 1797 is divided by 45? 42 What is the remainder when 203 is divided by 36? 23 Calculate the remainder when 1063 is divided by 136. 111 Calculate the remainder when 2707 is divided by 129. 127 What is the remainder when 36 is divided by 10? 6 Calculate the remainder when 305 is divided by 142. 21 What is the remainder when 1054 is divided by 33? 31 What is the remainder when 6460 is divided by 64? 60 Calculate the remainder when 1436 is divided by 131. 126 Calculate the remainder when 591 is divided by 142. 23 What is the remainder when 202 is divided by 3? 1 Calculate the remainder when 271 is divided by 29. 10 What is the remainder when 4755 is divided by 116? 115 What is the remainder when 27 is divided by 7? 6 Calculate the remainder when 137 is divided by 20. 17 Calculate the remainder when 153 is divided by 8. 1 What is the remainder when 2389 is divided by 120? 109 What is the remainder when 69 is divided by 17? 1 What is the remainder when 890 is divided by 409? 72 What is the remainder when 1781 is divided by 2? 1 Calculate the remainder when 1089 is divided by 84. 81 What is the remainder when 159 is divided by 134? 25 Calculate the remainder when 45 is divided by 2. 1 What is the remainder when 13 is divided by 8? 5 Calculate the remainder when 6730 is divided by 306. 304 Calculate the remainder when 54 is divided by 14. 12 Calculate the remainder when 1374 is divided by 127. 104 What is the remainder when 215 is divided by 24? 23 What is the remainder when 1155 is divided by 237? 207 What is the remainder when 4176 is divided by 76? 72 Calculate the remainder when 254 is divided by 16. 14 What is the remainder when 1671 is divided by 76? 75 Calculate the remainder when 13564 is divided by 19. 17 What is the remainder when 3004 is divided by 43? 37 What is the remainder when 678 is divided by 46? 34 What is the remainder when 753 is divided by 26? 25 What is the remainder when 512 is divided by 74? 68 What is the remainder when 7750 is divided by 10? 0 What is the remainder when 209 is divided by 49? 13 What is the remainder when 77 is divided by 43? 34 Calculate the remainder when 621 is divided by 4. 1 What is the remainder when 230 is divided by 26? 22 Calculate the remainder when 276 is divided by 87. 15 What is the remainder when 767 is divided by 54? 11 What is the remainder when 3398 is divided by 14? 10 Calculate the remainder when 442 is divided by 24. 10 What is the remainder when 1499 is divided by 429? 212 Calculate the remainder when 999 is divided by 20. 19 What is the remainder when 22044 is divided by 32? 28 What is the remainder when 1828 is divided by 61? 59 What is the remainder when 1183 is divided by 15? 13 What is the remainder when 1370 is divided by 228? 2 Calculate the remainder when 5977 is divided by 187. 180 Calculate the remainder when 1137 is divided by 228. 225 What is the remainder when 2294 is divided by 26? 6 What is the remainder when 83 is divided by 6? 5 What is the remainder when 4930 is divided by 18? 16 What is the remainder when 13917 is divided by 31? 29 Calculate the remainder when 5689 is divided by 85. 79 What is the remainder when 275 is divided by 170? 105 What is the remainder when 2610 is divided by 55? 25 Calculate the remainder when 1091 is divided by 22. 13 What is the remainder when 1217 is divided by 179? 143 What is the remainder when 706 is divided by 210? 76 What is the remainder when 389 is divided by 99? 92 What is the remainder when 187 is divided by 19? 16 Calculate the remainder when 43256 is divided by 12. 8 What is the remainder when 1803 is divided by 43? 40 Calculate the remainder when 14715 is divided by 66. 63 Calculate the remainder when 190 is divided by 24. 22 What is the remainder when 233 is divided by 134? 99 Calculate the remainder when 174 is divided by 14. 6 Calculate the remainder when 10848 is divided by
{ "pile_set_name": "DM Mathematics" }
? True Is 920467 prime? True Is 1520249 prime? False Is 3248507 a prime number? False Is 870079 a composite number? True Is 1009197373 a composite number? False Is 27823739 a composite number? False Is 15481981 a prime number? True Is 6965213 a prime number? False Is 5611037 composite? True Is 237261 a prime number? False Is 949157 composite? True Is 799979 a prime number? True Is 30507781 prime? False Is 27881963 a prime number? False Is 2100943 a prime number? False Is 6287527 a prime number? False Is 28847207 a composite number? False Is 938491 prime? True Is 4948051 a prime number? False Is 8026957 composite? False Is 1349759 prime? False Is 25025251 a composite number? False Is 10368329 a prime number? False Is 190550207 composite? False Is 14400613 a prime number? False Is 43089229 a prime number? False Is 562577 composite? False Is 4170191 a composite number? False Is 1119929 a prime number? False Is 61733669 a composite number? False Is 10036607 prime? False Is 44849881 prime? True Is 562767919 composite? True Is 361717 a prime number? False Is 27064847 a composite number? True Is 10336067 composite? True Is 9094879 prime? False Is 59339699 a composite number? True Is 26600645 a prime number? False Is 867541 composite? False Is 2069087 a composite number? True Is 183581821 a composite number? False Is 288647 a prime number? True Is 125122889 prime? False Is 24161897 a prime number? True Is 93283847 prime? False Is 2275931 a composite number? True Is 28256611 a prime number? False Is 241179899 a prime number? True Is 2143019 a prime number? True Is 727657 a prime number? False Is 375919013 prime? True Is 6385427 prime? True Is 128809909 a composite number? True Is 75283451 a prime number? True Is 37610629 composite? True Is 69591853 a prime number? True Is 33119 composite? False Is 18484901 composite? True Is 576874019 a prime number? True Is 20895517 a prime number? True Is 67143667 prime? True Is 20929099 prime? True Is 130009739 prime? True Is 255143489 a prime number? True Is 6010817 composite? False Is 904651 a composite number? True Is 403340983 prime? True Is 5347697 a composite number? True Is 257613143 composite? False Is 59693343 a prime number? False Is 427631 a composite number? True Is 724655 a composite number? True Is 3976913 composite? False Is 29663 composite? False Is 502391801 prime? True Is 42103861 a composite number? False Is 430393 a prime number? True Is 1499686 a composite number? True Is 10422857 composite? False Is 3659039 a prime number? False Is 67560529 a composite number? False Is 4009219 composite? False Is 3388702 a prime number? False Is 618119 composite? False Is 109639 prime? True Is 1522641449 a prime number? False Is 119456839 prime? True Is 1241192213 a composite number? True Is 43230247 a composite number? True Is 134025383 prime? False Is 58859929 a composite number? True Is 17644063 prime? False Is 951531017 a composite number? False Is 3514327 composite? True Is 1189327 composite? False Is 23374703 prime? False Is 808733 a composite number? False Is 348515897 composite? False Is 118324498 prime? False Is 2749517 prime? False Is 11190241 prime? False Is 816317 composite? False Is 15474491 prime? True Is 155534705 prime? False Is 14440121 a composite number? False Is 264208123 composite? False Is 1060567 a prime number? True Is 81090173 composite? True Is 1911949 a composite number? True Is 146191 composite? False Is 16250099 composite? False Is 10624513 prime? False Is 22343159 prime? False Is 145923185 a composite number? True Is 43097039 composite? False Is 45297347 prime? True Is 4174519 prime? False Is 80469361 composite? True Is 14087653 composite? False Is 2484203 prime? True Is 1823567 a composite number? False Is 605279 prime? False Is 219987751 a prime number? True Is 5503507 a prime number? True Is 10206789 a composite number? True Is 224541881 prime? True Is 2399077 a prime number? False Is 2417663 composite? False Is 79706441 a prime number? True Is 8891189 composite? True Is 2818293 prime? False Is 2230897 a composite number? True Is 88185079 a composite number? False Is 28782673 a prime number? False Is 737921369 a composite number? False Is 783856181 a composite number? False Is 519781 prime? False Is 87937511 a composite number? False Is 1931257 a prime number? False Is 17568949 a prime number? True Is 101100849 prime? False Is 1652293 prime? False Is 9262257 composite? True Is 3850699 prime? True Is 3806837 composite? False Is 11788079 a composite number? False Is 12819727 prime? False Is 328964173 a composite number? True Is 23887481 a prime number? True Is 6633887 a composite number? True Is 10342597 a prime number? True Is 65211271 a prime number? True Is 14546821 a composite number? False Is 1336817 prime? True Is 9734867 a prime number? False Is 607301 composite? False Is 14111111 a prime number? False Is 48443117 a composite number? False Is 1811413 a prime number? True Is 24132557 a prime number? False Is 2518859 prime? False Is 12723422 a composite number? True Is 118301899 composite? True Is 8263433 composite? False Is 219721 a composite number? False Is 84920153 composite? False Is 19573181 prime? True Is 145454081 a prime number? True Is 98875615 a prime number? False Is 146132479 a prime number? False Is 59859383 prime? True Is 7079593 composite? True Is 49618409 prime? True Is 43026001 a composite number? False Is 472042 a composite number? True Is 26578349 prime? False Is 104226197 a composite number? False Is 69155861 a prime number? False Is 208001197 prime? False Is 2053929 a composite number? True Is 761361 a composite number? True Is 10281457 a composite number? True Is 74884547 a prime number? True Is 77445343 a composite number? True Is 22877815 composite? True Is 64456567 composite? True Is 991147 composite? False Is 166861 a composite number? False Is 9327853 prime? True Is 1913641 a prime number? True Is 176572021 composite? False Is 5254313 a prime number? True Is 582279267 composite? True Is 77017307 a composite number? True Is 4008626 a composite number? True Is 75027674 a prime number? False Is 81774065 a prime number? False Is 10588051 a composite number? False Is 23491255 composite? True Is 51541753 a prime number? True Is 20324987 prime? True Is 41490781 a prime number? False Is 16107089 a composite number? True Is 354830537 prime? False Is 1437951 a composite number? True Is 6187613 a composite number? True Is 106965049 a composite number? False Is 3625499 a composite number? True Is 2923367 a prime number? True Is 6371537 a prime number? True Is 49333693 a composite number? False Is 646975879 composite? True Is 80029 a composite number? True Is 12012811 composite? True Is 3072427 a prime number? False Is 7207933 a composite number? True Is 62503783 prime? True Is 1945748443 a prime number? True Is 2067713 prime? False Is 2076895 composite? True Is 40983721 composite? False Is 5152223 composite? True Is 47927309 a prime number? True Is 64511 prime? False Is 833471 a prime number? False Is 409157773 a composite number? True Is 1023583567 composite? True Is 741203 composite? True Is 23990287 composite? False Is 23650229 prime? True Is 272542123 prime? False Is 18427451 prime? False Is 9724471 composite? False Is 2749852723 a prime number? True Is 3897683 a composite number? False Is 27316643 a prime number? True Is 1499597 a prime number? False Is 7775918 prime? False Is 70255 prime? False Is 12357755 a prime number? False Is 4692929 prime? False Is 284851 a prime number? False Is 511939843 composite? True Is 115111 prime? False Is 8029783 composite? True Is 37428331 composite? False Is 25363153 a composite number? True Is 274327 a composite number? True Is 676649 a composite number? False Is 12376723 a composite number? True Is 114314533 prime? False Is 6942941 a composite number? True Is 46837163 prime? True Is 3286729 a composite number? True Is 13134923 prime? False Is 43293553 composite? False Is 4297057 composite? True Is 38447639 prime? True Is 9200489 a prime number? True Is 188005403 composite? False Is 12280127 a composite number? False Is 11894411 a composite number? False Is 169718567 a composite number? False Is 528397 composite? T
{ "pile_set_name": "DM Mathematics" }
picking 1 h, 2 y, and 1 v? 1/70 Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {w: 1, s: 1, q: 8, r: 2, k: 5}. 1/68 Two letters picked without replacement from iiiiibibbbaiipiliibs. What is prob of picking 1 i and 1 p? 11/190 Two letters picked without replacement from {z: 3, n: 1, x: 3}. What is prob of picking 1 n and 1 z? 1/7 What is prob of picking 2 e and 2 b when four letters picked without replacement from ovbbeootbvoeeveebo? 1/51 What is prob of picking 1 a and 1 q when two letters picked without replacement from daqdaddwddaadadwqd? 10/153 Calculate prob of picking 3 r when three letters picked without replacement from rrux. 0 Four letters picked without replacement from {f: 4, u: 6, r: 1}. Give prob of picking 3 u and 1 f. 8/33 What is prob of picking 2 x and 1 s when three letters picked without replacement from {x: 3, s: 5, t: 3}? 1/11 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from uuuumccggcgmyumgcg. 5/153 What is prob of picking 1 h, 1 k, and 1 g when three letters picked without replacement from hghvkhhv? 1/14 What is prob of picking 2 h and 1 s when three letters picked without replacement from nnsshnnnyssnnnyhnnn? 4/969 Calculate prob of picking 1 d, 1 m, and 2 q when four letters picked without replacement from mdqsddddmqsmml. 20/1001 Two letters picked without replacement from vvulc. What is prob of picking 1 c and 1 v? 1/5 Two letters picked without replacement from iiiibibiib. What is prob of picking 2 b? 1/15 Four letters picked without replacement from nnnnnn. Give prob of picking 4 n. 1 What is prob of picking 2 l and 2 a when four letters picked without replacement from rkallcrc? 0 Three letters picked without replacement from cccccctctc. What is prob of picking 2 t and 1 c? 1/15 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from syeyeymxygee. 2/33 Two letters picked without replacement from {k: 1, w: 1, o: 1, h: 1, u: 1}. Give prob of picking 1 k and 1 w. 1/10 Calculate prob of picking 1 m, 1 e, and 2 l when four letters picked without replacement from lmetltleete. 2/55 Two letters picked without replacement from oddoooooo. Give prob of picking 2 o. 7/12 Two letters picked without replacement from ffnjqsjnjqnmjqq. Give prob of picking 2 f. 1/105 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {g: 1, m: 2, j: 2, i: 1, o: 4}. 8/45 Two letters picked without replacement from xrrnrrxrxxrexh. What is prob of picking 1 x and 1 r? 30/91 What is prob of picking 3 m and 1 k when four letters picked without replacement from vmvmmkmkmmm? 7/33 Calculate prob of picking 1 g and 2 v when three letters picked without replacement from {v: 4, p: 3, i: 4, g: 4}. 24/455 Two letters picked without replacement from rcobxyy. Give prob of picking 1 o and 1 y. 2/21 Calculate prob of picking 1 i, 1 y, 1 r, and 1 x when four letters picked without replacement from yxidyxryxyri. 16/165 Calculate prob of picking 2 d when two letters picked without replacement from snqedsdqeenssnsdqed. 2/57 Calculate prob of picking 1 z, 1 k, and 2 j when four letters picked without replacement from kkzkjkkjkskkjkk. 2/91 What is prob of picking 2 v and 1 x when three letters picked without replacement from vxvxxxwxvvxvxxwvx? 27/136 Four letters picked without replacement from {l: 2, n: 4, z: 2, o: 1, x: 4, u: 1}. Give prob of picking 1 o, 1 z, and 2 l. 2/1001 Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, t: 19}. 3/20 Four letters picked without replacement from dzkktzkkzntkndn. Give prob of picking 1 d, 2 z, and 1 n. 6/455 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 2, k: 7}. 7/18 What is prob of picking 1 d and 1 y when two letters picked without replacement from {d: 2, w: 5, y: 1, z: 3, n: 1}? 1/33 What is prob of picking 1 v and 3 w when four letters picked without replacement from {d: 1, w: 1, v: 1, n: 1, h: 1}? 0 Three letters picked without replacement from txxotxxoxxxxxxt. What is prob of picking 1 x and 2 o? 2/91 What is prob of picking 1 o and 1 a when two letters picked without replacement from qciiiafiiiaifoaqioa? 8/171 What is prob of picking 1 a and 3 e when four letters picked without replacement from {z: 6, g: 4, a: 5, e: 5}? 10/969 What is prob of picking 1 w and 2 y when three letters picked without replacement from yyyyyyywwwyywyyyywyy? 35/76 What is prob of picking 2 r and 1 e when three letters picked without replacement from {r: 2, g: 2, e: 5, l: 3}? 1/44 Four letters picked without replacement from nnppacngpnoaona. What is prob of picking 1 p, 2 n, and 1 g? 2/91 Two letters picked without replacement from {v: 1, u: 4, l: 3, p: 6, x: 3, w: 1}. Give prob of picking 1 l and 1 u. 4/51 Two letters picked without replacement from gggggtsgtttgg. Give prob of picking 1 s and 1 t. 2/39 Calculate prob of picking 3 b and 1 d when four letters picked without replacement from {f: 6, b: 11, d: 2}. 55/646 Two letters picked without replacement from {m: 10, o: 7, u: 1}. What is prob of picking 1 m and 1 u? 10/153 Calculate prob of picking 3 i and 1 d when four letters picked without replacement from bdbizidddai. 2/165 What is prob of picking 2 w and 1 r when three letters picked without replacement from wwrwwrrrrwwrr? 105/286 Calculate prob of picking 2 v and 2 o when four letters picked without replacement from vovovvvvottto. 18/143 Calculate prob of picking 2 v when two letters picked without replacement from kkvkvk. 1/15 Three letters picked without replacement from bybbbbbbbbbbybbybbbb. Give prob of picking 2 y and 1 b. 17/380 What is prob of picking 2 k when two letters picked without replacement from bkbbk? 1/10 Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {y: 1, d: 3, h: 1, i: 2}. 2/21 Two letters picked without replacement from bbubussb. Give prob of picking 1 b and 1 u. 2/7 Calculate prob of picking 1 f and 2 z when three letters picked without replacement from {h: 3, f: 1, e: 3, c: 2, d: 2, z: 3}. 3/364 Three letters picked without replacement from clcaulclaaalqa. What is prob of picking 1 q and 2 c? 3/364 Three letters picked without replacement from kbksbbk. What is prob of picking 1 k, 1 s, and 1 b? 9/35 Two letters picked without replacement from cibxijujxbbiibi. What is prob of picking 1 j and 1 x? 4/105 Calculate prob of picking 2 w, 1 x, and 1 c when four letters picked without replacement from ccgwxwxcxccc. 2/55 Three letters picked without replacement from fpppppxpo. Give prob of picking 1 x and 2 p. 5/28 Calculate prob of picking 2 a and 1 n when three letters picked without replacement from acccocjnoanqqnao. 9/560 What is prob of picking 2 a when two letters picked without replacement from axeeexexeeaaxgmxm? 3/136 What is prob of picking 1 o and 1 h when two letters picked without replacement from kkvjpkjppkkvpokhp? 1/136 Two letters picked without replacement from {c: 10, s: 2}. Give prob of picking 1 c and 1 s. 10/33 Three letters picked without replacement from {u: 1, c: 2, w: 1, e: 2}. What is prob of picking 1 u, 1 w, and 1 c? 1/10 What is prob of picking 2 x and 2 n when four letters picked without replacement from xxjjxnjjj? 0 Calculate prob of picking 4 v when four letters picked without replacement from {v: 14, r: 1}. 11/15 Two letters picked without replacement from {h: 8, r: 1, j: 1, u: 8, b: 1}. Give prob of picking 1 u and 1 h. 64/171 Three letters picked without replacement from jjwjjwwjjjjjjjj. Give prob of picking 1 j and 2 w. 36/455 Two letters picked without replacement from {m: 6, b: 6}. Give prob of picking 1 m and 1 b. 6/11 Two letters picked without replacement from yyg. What is prob of picking 2 y? 1/3 Calculate prob of picking 2 v when two letters picked without replacement from hvy. 0 Three letters picked without replacement from {m: 2, p: 3, c: 5}. What is prob of picking 3 p? 1/120 What is prob of picking 1 l and 1 n when two letters picked without replacement from nuln? 1/3 Two letters picked without replacement from {c: 3, m: 9}. Give prob of picking 2 m. 6/11 Calculate prob of picking 1 g and 1 m when two letter
{ "pile_set_name": "DM Mathematics" }
3680 What is the common denominator of 87/112 and 113/3710? 29680 What is the smallest common multiple of 1242558 and 12? 2485116 Calculate the least common multiple of 37100 and 1749. 1224300 Calculate the common denominator of 113/132528 and -109/6. 132528 What is the smallest common multiple of 23188 and 22? 23188 What is the common denominator of -93/100108 and -37/68? 1701836 Calculate the common denominator of -71/8496 and 73/10620. 42480 What is the lowest common multiple of 46618 and 29666? 326326 Calculate the common denominator of 11/67812 and -6/73463. 881556 Calculate the smallest common multiple of 317492 and 6256. 1269968 Calculate the common denominator of -27/11 and 47/1348039. 1348039 What is the lowest common multiple of 954 and 108? 5724 Calculate the lowest common multiple of 20 and 26080. 26080 Calculate the smallest common multiple of 392 and 392. 392 Calculate the common denominator of 69/274870 and -43/50. 1374350 What is the smallest common multiple of 27288 and 276? 627624 Calculate the common denominator of -85/21042 and 7/4509. 63126 What is the least common multiple of 293370 and 762? 293370 What is the least common multiple of 42075 and 1836? 504900 Calculate the common denominator of 59/12990 and 169/90. 38970 Find the common denominator of -13/2994 and -53/18. 8982 What is the least common multiple of 14864 and 26012? 104048 Calculate the common denominator of 79/66 and -95/263346. 2896806 What is the common denominator of 16/3075 and -77/78720? 393600 Find the common denominator of -61/18 and 157/4830. 14490 What is the smallest common multiple of 762 and 8? 3048 Find the common denominator of 22/2373 and 143/45426. 317982 What is the least common multiple of 19804 and 59412? 59412 Calculate the least common multiple of 1620 and 6480. 6480 Calculate the common denominator of -43/2743866 and 3/1219496. 10975464 What is the common denominator of -7/48 and -71/16784? 50352 What is the smallest common multiple of 1272 and 13040? 2073360 Find the common denominator of 35/4738 and -82/35535. 71070 Calculate the smallest common multiple of 583 and 2544. 27984 Calculate the common denominator of -68/78381 and -16/5. 391905 What is the common denominator of -74/855 and 37/1290? 73530 Find the common denominator of -13/148 and -25/182632. 182632 What is the common denominator of -41/56 and -16/10801? 86408 Calculate the smallest common multiple of 2 and 189. 378 Calculate the common denominator of 62/131265 and 11/145850. 1312650 Calculate the lowest common multiple of 56 and 18354. 73416 Find the common denominator of 10/29 and 123/5800. 5800 What is the lowest common multiple of 7803 and 15606? 15606 Calculate the smallest common multiple of 12027 and 192. 769728 What is the common denominator of -103/6630 and -31/324? 358020 Find the common denominator of 53/602 and 7/45. 27090 What is the common denominator of -73/99045 and 71/405? 891405 What is the common denominator of -67/12 and 121/632814? 1265628 What is the smallest common multiple of 31114 and 18? 280026 What is the common denominator of -5/6357 and 15/91? 44499 Calculate the common denominator of -87/118 and -39/4543. 9086 What is the smallest common multiple of 416 and 1183? 37856 What is the lowest common multiple of 472648 and 4961? 5199128 What is the common denominator of 103/9924 and 151/30? 49620 What is the common denominator of -47/133350 and -17/93345? 933450 What is the common denominator of 17/26 and -25/53092? 53092 Calculate the smallest common multiple of 10 and 8583. 85830 Calculate the common denominator of 7/8 and -151/6396. 12792 What is the common denominator of 79/88 and -1/307? 27016 Calculate the smallest common multiple of 420 and 18340. 55020 Calculate the common denominator of -151/7560 and -119/7254. 3046680 What is the common denominator of 71/104 and 97/20930? 83720 Calculate the common denominator of 103/1254 and 46/597. 249546 What is the smallest common multiple of 17604 and 5542? 299268 What is the common denominator of 25/24 and 61/50673? 405384 Find the common denominator of -47/10760 and 109/56. 75320 What is the least common multiple of 42126 and 287? 1727166 Calculate the smallest common multiple of 1470 and 14448. 505680 Calculate the common denominator of 61/537357 and 149/36. 6448284 Calculate the lowest common multiple of 9126 and 6084. 18252 What is the common denominator of -43/47889 and 31/654483? 1963449 What is the least common multiple of 891 and 99? 891 Calculate the common denominator of -59/27972 and -143/447552. 447552 Find the common denominator of 83/30800 and -47/57200. 400400 What is the common denominator of 65/16 and -37/21024? 21024 Find the common denominator of 58/284075 and -89/232425. 2556675 Find the common denominator of -41/20298 and -25/13532. 40596 Calculate the common denominator of 67/388 and 55/28. 2716 What is the lowest common multiple of 16740 and 152? 636120 What is the common denominator of 30/1333 and -91/186? 7998 What is the common denominator of 97/8208 and 49/1728? 32832 What is the least common multiple of 55 and 30305? 30305 Calculate the common denominator of -82/1330875 and 8/1183. 1330875 Find the common denominator of 23/121107 and -23/40953. 22647009 Calculate the lowest common multiple of 208 and 356. 18512 What is the common denominator of 101/11184 and -87/3728? 11184 What is the least common multiple of 188232 and 4278? 188232 Calculate the common denominator of 43/134818 and 13/22. 1482998 Calculate the smallest common multiple of 2408 and 17759. 142072 Calculate the smallest common multiple of 1345 and 48420. 48420 Calculate the common denominator of 21/2957446 and -99/2. 2957446 Find the common denominator of 41/39150 and -67/500. 391500 What is the lowest common multiple of 9 and 276126? 828378 Find the common denominator of 19/2 and -9/51316. 51316 Calculate the least common multiple of 671826 and 492. 1343652 Find the common denominator of 37/12 and 83/3940. 11820 What is the common denominator of -115/2044 and 115/2044? 2044 Find the common denominator of 58/75115 and 53/6335. 525805 Calculate the common denominator of 59/830 and -31/403214. 2016070 What is the smallest common multiple of 210 and 6822? 238770 What is the smallest common multiple of 49 and 1260? 8820 Calculate the lowest common multiple of 2875 and 575. 2875 Calculate the least common multiple of 4052 and 82053. 328212 What is the least common multiple of 25992 and 798? 181944 What is the least common multiple of 225 and 255630? 3834450 Find the common denominator of 12/300521 and 75/104. 2404168 Find the common denominator of -83/40 and -19/15540. 31080 Calculate the least common multiple of 82552 and 92871. 742968 What is the smallest common multiple of 8735 and 52410? 52410 Calculate the lowest common multiple of 72 and 192. 576 What is the least common multiple of 1778 and 3810? 26670 What is the smallest common multiple of 60370 and 1430? 8632910 What is the least common multiple of 12028 and 20? 60140 Calculate the common denominator of -8/35179 and -71/1108. 140716 What is the common denominator of -67/124 and -25/6688? 207328 What is the common denominator of 43/47 and 61/372? 17484 What is the common denominator of -74/6825 and -203/660? 300300 Calculate the lowest common multiple of 9588 and 35156. 105468 Calculate the smallest common multiple of 40 and 668065. 5344520 Calculate the common denominator of -86/120057 and 47/49. 840399 Calculate the least common multiple of 467820 and 1035. 467820 Calculate the smallest common multiple of 2865 and 4775. 14325 Find the common denominator of -61/350570 and -157/210342. 1051710 What is the lowest common multiple of 8 and 6828? 13656 Calculate the common denominator of -77/7820 and 51/29210. 993140 What is the least common multiple of 284704 and 369? 2562336 Calculate the lowest common multiple of 834432 and 182532. 5841024 Find the common denominator of -29/8 and -35/47806. 191224 Calculate the least common multiple of 288288 and 96096. 288288 What is the smallest common multiple of 2865 and 36? 34380 Calculate the smallest common multiple of 396 and 12474. 24948 Calculate the smallest common multiple of 45 and 4368. 65520 Calculate the
{ "pile_set_name": "DM Mathematics" }
66 Calculate the least common multiple of 63588 and 27252. 190764 Find the common denominator of -13/16488 and -31/40. 82440 Find the common denominator of 11/3760 and 93/160. 7520 What is the least common multiple of 25896 and 936? 77688 What is the lowest common multiple of 83196 and 166392? 166392 What is the lowest common multiple of 9344 and 16? 9344 Calculate the least common multiple of 13104 and 2056. 3367728 Calculate the smallest common multiple of 1265 and 5060. 5060 Find the common denominator of 11/507 and -101/678. 114582 What is the common denominator of -91/33648 and 57/123376? 370128 What is the lowest common multiple of 608390 and 6640? 4867120 Calculate the common denominator of -59/156808 and -49/4. 156808 What is the common denominator of -65/279 and -11/54? 1674 Calculate the lowest common multiple of 39732 and 9030. 198660 What is the least common multiple of 482205 and 63240? 3857640 Find the common denominator of -22/1325 and -22/400415. 2002075 Find the common denominator of -101/4 and 65/11054. 22108 Find the common denominator of 15/1532 and -121/4596. 4596 What is the lowest common multiple of 6390 and 87? 185310 Calculate the common denominator of 13/1758 and -49/44. 38676 Calculate the lowest common multiple of 14950 and 580060. 2900300 Calculate the lowest common multiple of 12 and 23640. 23640 Find the common denominator of -107/324000 and -127/297000. 3564000 Find the common denominator of -85/1592 and -1/2832. 563568 Find the common denominator of 39/7646 and -47/592. 2263216 Find the common denominator of -51/4934 and -9/14. 34538 Calculate the common denominator of 67/18394 and 62/229925. 459850 Find the common denominator of -41/266 and 57/5642. 107198 Find the common denominator of -127/570 and -6/29545. 177270 Calculate the lowest common multiple of 8 and 5092. 10184 What is the lowest common multiple of 63 and 118161? 827127 Calculate the common denominator of 161/60 and -133/85710. 171420 Calculate the common denominator of -7/8427 and 74/5595. 15716355 What is the common denominator of 37/18 and 101/101700? 101700 What is the common denominator of 107/14440 and -9/9025? 72200 What is the lowest common multiple of 404 and 2876? 290476 Calculate the least common multiple of 238 and 29972. 3566668 Find the common denominator of 59/58656 and 49/351. 527904 Find the common denominator of -64/423 and -37/14361. 2024901 What is the common denominator of 91/38 and 91/864? 16416 What is the common denominator of 11/2798 and 7/122? 170678 Calculate the smallest common multiple of 672560 and 784. 4707920 Calculate the smallest common multiple of 9 and 101577. 304731 Calculate the common denominator of 81/27184 and 69/197084. 788336 Find the common denominator of 67/432 and 109/15600. 140400 What is the lowest common multiple of 849 and 288? 81504 Calculate the lowest common multiple of 15560 and 19450. 77800 What is the lowest common multiple of 31920 and 5472? 191520 What is the lowest common multiple of 18720 and 3? 18720 What is the common denominator of 49/5094 and 47/615? 1044270 Calculate the common denominator of -41/260 and 85/2266. 294580 What is the smallest common multiple of 9058 and 72464? 72464 What is the common denominator of 125/9828 and -68/105? 49140 Calculate the common denominator of -53/635 and -46/139065. 139065 What is the least common multiple of 2208 and 315? 231840 Find the common denominator of -95/273 and 83/61425. 61425 What is the common denominator of -17/3606 and -11/25? 90150 Calculate the common denominator of -25/95928 and -93/15988. 95928 Calculate the common denominator of 53/22 and 101/95898. 95898 Calculate the least common multiple of 48192 and 8208. 8240832 Find the common denominator of 27/68 and -99/139672. 139672 Calculate the smallest common multiple of 166652 and 244. 166652 Calculate the common denominator of -61/98560 and 13/14168. 2266880 Calculate the common denominator of -34/7 and -23/3033484. 21234388 What is the common denominator of 124/79695 and -38/7? 79695 What is the lowest common multiple of 632 and 2844? 5688 What is the least common multiple of 41696 and 40? 208480 Find the common denominator of 20/2187 and 101/1458. 4374 Calculate the lowest common multiple of 12740 and 312. 76440 What is the lowest common multiple of 907 and 4535? 4535 Calculate the lowest common multiple of 2104 and 31. 65224 Calculate the common denominator of 50/147 and -2/4755. 232995 What is the common denominator of 68/1206645 and 43/11330? 2413290 What is the common denominator of 71/810 and 41/21960? 197640 Find the common denominator of 53/1053 and -67/3585. 1258335 What is the least common multiple of 6090 and 420? 12180 Calculate the common denominator of 21/16550 and 73/300. 99300 Calculate the lowest common multiple of 242396 and 132216. 1454376 Find the common denominator of -55/404418 and -80/21. 404418 Calculate the smallest common multiple of 9204 and 336. 257712 What is the least common multiple of 1240 and 31248? 156240 What is the smallest common multiple of 656 and 1968? 1968 What is the common denominator of 121/57246 and 61/126? 171738 Calculate the common denominator of -2/530785 and -67/2558. 1061570 Calculate the least common multiple of 58158 and 9. 58158 What is the least common multiple of 1230 and 14350? 43050 What is the common denominator of 61/862944 and -17/672? 6040608 Find the common denominator of 12/22249 and -133/6. 133494 Calculate the smallest common multiple of 4506 and 30. 22530 Calculate the common denominator of -125/206502 and 53/15176. 5782056 What is the lowest common multiple of 19458 and 32? 311328 Calculate the common denominator of 34/103395 and 29/124074. 620370 Calculate the common denominator of 139/25590 and -47/27. 230310 Find the common denominator of -173/79200 and 61/4400. 79200 Calculate the lowest common multiple of 2576 and 241408. 1689856 What is the common denominator of -113/4880 and -11/70? 34160 What is the common denominator of 29/77400 and 5/384? 1238400 What is the lowest common multiple of 7924 and 3? 23772 What is the common denominator of 77/1020 and -46/15? 1020 Calculate the common denominator of 167/330 and 71/3333. 33330 What is the least common multiple of 21857 and 45701? 502711 What is the smallest common multiple of 30 and 76449? 764490 What is the common denominator of 41/314820 and 139/198? 314820 Calculate the smallest common multiple of 47893 and 8. 383144 What is the smallest common multiple of 24 and 32790? 131160 What is the least common multiple of 72 and 789? 18936 Calculate the smallest common multiple of 8368 and 264. 276144 Find the common denominator of 129/42560 and 73/89376. 893760 What is the lowest common multiple of 18 and 1282218? 3846654 Find the common denominator of -45/44 and -107/9680. 9680 Find the common denominator of -133/43128 and 41/14376. 43128 Find the common denominator of 73/56 and -11/464638. 13009864 What is the common denominator of 181/1473870 and -85/294774? 1473870 What is the common denominator of 71/6789 and 79/4698? 10631574 Find the common denominator of -5/7861 and 34/3731. 4189913 Find the common denominator of 97/26 and -49/79. 2054 What is the lowest common multiple of 450 and 132930? 664650 Calculate the common denominator of 65/102412 and -83/10. 512060 Find the common denominator of -91/136972 and 13/484. 136972 Calculate the common denominator of -101/80696 and 49/1179. 726264 What is the common denominator of -8/135 and 101/3270? 29430 What is the least common multiple of 49960 and 5? 49960 What is the least common multiple of 1029069 and 686046? 2058138 What is the common denominator of 21/88 and -5/7194? 28776 What is the common denominator of -31/323195 and 37/15723? 2908755 Find the common denominator of -23/228258 and 65/1134. 1597806 Find the common denominator of 74/369 and -42/52931. 476379 Find the common denominator of -71/9 and 65/24634. 221706 Find the common denominator of -79/36 and -17/565866. 1131732 Calculate the common denominator of 29/1638 and -9/8. 6552 Calculate the common denominator of 74/1925 and -81/62335. 3428425 What is the least common multiple of 48 and 3285? 52560 Calculate the common denominator of -31/211464 and
{ "pile_set_name": "DM Mathematics" }
2)/k)/(3/(-6)) a prime number? True Suppose 0*c = -4*r + c - 21, -2*r - 3 = c. Let z be 6/4 - 1950/r. Let p = z - -464. Is p a composite number? False Let g(w) = 677*w + 7. Let f be 2/12 + (-7)/84*-70. Suppose 0 = 3*n + 4*b + 14, 0 = -n + 2*b + f + 6. Is g(n) a composite number? False Suppose 6*n = 4*n + 10. Suppose -n*h - 2972 + 8813 = 3*z, -3*z + 1173 = h. Suppose -13*m + 10*m = -h. Is m a prime number? True Suppose 968 = -n - 7*n. Let g be (-3 + 6)*1 + n. Let f = 1365 + g. Is f prime? False Let j = -6836 + 14165. Let l(k) = 20*k**2 + 3*k - 2. Let n be l(4). Suppose -3*m - n + j = 0. Is m a prime number? True Suppose -i - 5*s + 27498 = 0, 197*i + 2*s = 194*i + 82481. Is i composite? True Let x(l) be the second derivative of l**5/20 + 17*l**4/12 - 5*l**3/3 - 57*l**2/2 + 5*l - 3. Is x(-17) composite? False Suppose -5*x = l - 425193, -3*l + 1275655 = -89*x + 85*x. Is l composite? True Let z(q) be the second derivative of 3*q**5/10 - q**4/3 + q**3/3 - 5*q**2 + 20*q. Let l be z(12). Is (l/18 - 3) + (-2)/(-9) prime? False Let v(f) = 250293*f + 12866. Is v(5) prime? True Let z(j) = -j + 59. Let v be z(-11). Is 4674/21 - (-30)/v composite? False Is (2 + (-30050)/12)/(13/(-546)) a prime number? False Let i(w) = 914*w + 101. Let q(y) = -3*y + 171. Let l be q(52). Is i(l) a composite number? True Let y be 1434/10 + 2/(-5). Let p be (-53218)/y + 2/13. Let c = -53 - p. Is c a prime number? False Let v be 4/1 + 6 + 16 + 1. Let x(r) = 6*r**2 - 39*r - 22. Is x(v) prime? True Let g(l) = -l**2 - 1. Let r(q) = 6*q + 3. Let k be r(-1). Let j(t) = 483*t**2 + 4*t. Let v(n) = k*g(n) + j(n). Is v(-2) composite? True Suppose 11722501 - 1069296 = 69*r - 7687064. Is r composite? True Suppose 3*g - 5*i + 342488 = 984052, -4*g = 4*i - 855472. Is g a composite number? True Is (19375 - 2)/(-20*8/(-480)) composite? True Let r(o) = -o**3 + 2*o**2 + 2*o - 60. Let l be r(0). Let v = 60 + l. Suppose v = 9*j - 6*j - 1455. Is j a prime number? False Suppose -t + 839 = c, 2*t = -c + 3*c - 1682. Suppose -6483 = -12*y + 10869. Suppose -c - y = -6*l. Is l a composite number? True Let v(j) = 251*j**3 + 2*j**2 - 17*j + 15. Let b = -172 - -176. Is v(b) a composite number? True Let l = -237 + 240. Suppose -4*f = 5*a - 3919, 2*a - 5*f = l*a - 767. Is a composite? False Let a = 188986 - -28423. Is a prime? True Suppose -8*g - 10 = -3*g, 0 = 5*d - 5*g - 150. Suppose -19*i - 28053 = -d*i. Is i composite? True Let x(z) be the first derivative of z**2 + 10 + 11*z + 1/3*z**3. Is x(-8) a composite number? False Suppose -10 + 6 = -x. Suppose 15317 = 2*j - y - x*y, -2*j + 15282 = 2*y. Is (j + -1)/5 - (0 - 2) a prime number? True Let c = 48 - 12. Let y(j) = j**3 - 104*j**2 + 490*j + 142. Let l be y(99). Let t = c - l. Is t a composite number? False Let r be (-8)/20 + 6/15. Suppose 5*n - 2*x - 1709 = r, 450 + 224 = 2*n + 4*x. Suppose 4*z + 4*k = 1636, 5*z - k - 1704 = n. Is z a prime number? True Let z = 2965 + -1374. Let k(c) = -29*c**2 + 74*c - 32. Let a be k(6). Let m = z + a. Is m a prime number? False Suppose a - 27631 = -3*t, -t - 6566 + 15780 = 4*a. Suppose 9*z + t = 15*z. Is z composite? True Let v(t) = -1588*t - 6. Let h be v(-3). Let o = h + -1267. Is o composite? False Let l(r) = 286*r**2 + 172*r - 49. Is l(-32) a composite number? True Let d(t) = 86690*t + 2229. Is d(5) prime? True Let l(d) = 8*d**2 - 12*d + 1. Let m = -214 - -201. Is l(m) prime? False Let a = -25995 - -45042. Suppose -a = -2*m - 5*m. Suppose m = 5*k - 2*k + o, -3*k + 4*o + 2721 = 0. Is k composite? False Let p be 2/(-9) - (-8)/36. Suppose -2*c + 1005 = -1129. Suppose p = -7*f + 8*f - c. Is f prime? False Let j(s) = -22*s**2 + 3*s - 12. Let r be j(-10). Is ((-21)/2)/(57/r) composite? True Let g(w) = 1032*w**2 + 143*w - 793. Is g(6) composite? False Let n be -3351 - ((-15)/(-3) + -6). Let p = n - -13749. Is p a composite number? False Is 288633*(4/36)/((-4)/(-24)) composite? True Suppose -4*b = -0*b - 736. Suppose -2*a + 43 + 46 = 3*p, -4*a + b = 4*p. Is a prime? False Is 4/(-12)*(803957/14 - -3)*-6 composite? True Let l(q) = 87*q**2 + 5*q - 4. Let r be l(3). Suppose -m = 4*u - 4363, 3*u + r = 5*m + 4072. Is u prime? True Let v = 35426 + -19033. Suppose -3*q + v = 3934. Is q prime? True Let w(a) = 3168*a**2 + 40*a - 15. Is w(-7) prime? True Let n(m) = 841*m - 2. Suppose 0 = -5*j + 34 + 26. Suppose 13*u - j*u = 3. Is n(u) prime? True Suppose -470 - 723 = -v. Let w = -214 + v. Is 44/(-88) - (0 + w/(-2)) a prime number? False Suppose -x - 602 = 2*q, 1508 = -5*q - 3*x - x. Let p be 1 + -7 - -4 - (q + 2). Suppose -8*c - p = -12*c. Is c a composite number? True Suppose t + 22*h - 908627 = 18*h, -4*t + 5*h + 3634487 = 0. Is t composite? False Is (-9741300)/(-44) + (8 - (-180)/(-22)) a composite number? False Suppose 9*a = 5*a - 20, -5*a = -4*b + 25. Suppose -5*n - 4*f + 34987 = b, 3*n = -2*n + f + 34972. Is n a prime number? False Is (-166)/2656 + (-7752051)/(-48) a composite number? True Suppose -2*b - 94581 = -3*p, 2*p = 3*b + 63088 - 39. Is p composite? True Let u(d) = -78*d**3 - d**2 + 2*d - 1. Let v be 4/(-14)*-1 - (-23)/(-7). Let k be u(v). Suppose 5*w = -0*w + h + 3480, -3*w = -h - k. Is w composite? True Suppose b - 2*x + 30256 + 5354 = 0, 2*b + 71199 = -3*x. Is (b - -1)/(27/(-27)) prime? True Let b = -207880 - -347585. Is b a composite number? True Suppose 241 = i - x + 3*x, -i + 257 = -2*x. Let c be (i/6)/((-2)/(-164)). Suppose -c = -2*q + 471. Is q composite? True Let r = -154 + 792. Suppose 2686 = 4*q - r. Is q a composite number? True Let h = 518596 - 303039. Is h a composite number? True Is -3 + 0 + (134526/28)/((-18)/(-168)) a composite number? False Let a(n) be the second derivative of 3309*n**5/10 + n**4/6 + n**3/2 - 2*n**2 + 81*n. Is a(1) prime? True Let z be (1*-2)/(-4 + 131920/32984). Suppose -5*p + 6*p - 4*g = z, 0 = -p + 2*g + 4133. Is p composite? True Let o(v) = -6779*v + 62. Is o(-11) prime? False Suppose -113*z = -2903153 - 2612190 - 2568338. Is z a prime number? True Is ((-603)/18*1)/(3/(-2874)) prime? False Is -13 - (6 - (-19838)/(-1)) composite? False Let m(c) = -275*c - 16. Let n be m(-4). Suppose -19*p = -15*p - n. Is p a prime number? True Suppose 5*r = -3*w - 18, -2*r - 1 - 5 = 0. Is 2/w*(-18249)/42 a composite number? True Let f be ((-6)/(-3))/(10/(-17505)). Let w = f + 5323. Is w composite? True Let v be 5 + -5 - (-1274 + -2 - 2). Let k = 1801 - v. Is k prime? True Suppose -3*b - 3*j = -353103, 5*b - 2*b - 353131 = -10*j. Is b a composite number? True Let s(y) = 4*y**3 + 2*y**2 - 16*y + 3. Let q be 46/10 + 26/65. Suppose -3*w = -m + 5*m - 13, -11 = 2*m + q*w. Is s(m) prime? True Let w = -451 - -4712. Let t be (8 + (-18)/6*5)*(-7032)/(-28). Let y = t + w. Is y prime? True Let x be 0*((5 - 32/4) + 2). Let h(f) = 63*f + 115831. Is h(x) a prime number? True Is (-2 - -93833) + ((-5 + 7)*-2)/2 a composite number? True Let j be (1*-1)/((-6)/(10 - 4)). Let d(i) = 4*i**3 - 12*i**2 - 28*i + 3. Let h(f) = f**3 + f**2 - f. Let k(m) = j*d(m) - 2*h(m). Is k(13) a composite number? False Suppose -2*i + 5*q + 53 = 0, 3*i - 2*q = -0*q + 52. Let t = i + -12. Suppose 0 = -5*f + t*f - 2*v + 4421, -4*f + 4*v + 5868 = 0. Is f composite? False Suppose 2*g - d = 52305, 5*d + 5694 = 2*g - 46607. Is g a prime number? True Let x(j) = -4*j - 1. Let o be x(-1). Suppose -2*u + 157 = 2*t + 145, -24 = -5*t + u. Suppose -4*y - 247 = -d, o*d + t*y = 4*y + 754. Is d a composite number? False Let o(x) = -x**3 + 6*x**2 + 6*x - 15. Let n be o(7). Let l be 4/12*(3 - n*237). Suppose 0 = 4*a + 4*s - 2340, 0*s - l = -3*a + s. Is a composite? True Suppose -2*s + 839804 = -3*y, 47*y = 42*y - 30. Is s prime? True Suppose 2632*y = 2637*y - 3253535. Is y prime? False Let w(j) = 6*j**3 + 7*j**2 - j + 2. Let b(t) = t**3 + t**2 - t. Let q(m) = 5*b(m) - w(m). Is q(-3) prime? True Let d = 37811 - -9378. Is d a prime number? True Let k(z) = 51*z**2 + 7*z - 1. Suppose -h + q = -3, 4*q + 0*q = -5*h + 51. Suppose a = -h*a + 24. Is k(a) a prime number? True Let x(i) = -7 - 3*i + 6567*i**2 + 3506*i**2 + 3. Let c be x(-1). Suppose -7*w = w - c. Is w composite? False Suppose 15 - 42 = 3*u. Suppose -v + 346 = -2*v. Let c = u - v. Is c a prime number? True Let v(g) = g**2 - g - 1. Let a be v(-1). Suppose -3*h = -a - 14. Suppose 3*d + h = 200. Is d p
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when q is divided by 12? 10 Suppose -226 = -3*w + 3*r + 314, 3 = 3*r. Let k = -127 + w. Let c(d) = -4*d - 6. What is the remainder when k is divided by c(-5)? 12 Let d = 71 - 10. What is the remainder when d is divided by 9? 7 Suppose -5*j = -3*p - 272, p = -0*j + 3*j - 164. Suppose -6*z = -11*z + j. What is the remainder when 30 is divided by z? 8 Suppose 798 = 10*m + 11*m. Calculate the remainder when 110 is divided by m. 34 Suppose n + 2*n = 252. Suppose 0*w - 3*w = -3*c + 150, 0 = 2*c + 2*w - n. Let b(u) = 2*u + 6. Calculate the remainder when c is divided by b(5). 14 Suppose 4 = 2*w - 20. Calculate the remainder when 15 is divided by w/4 + (-1 - -2). 3 Suppose 3*a - 3*j - 252 = 0, 0 = -a + 2*a - 3*j - 74. What is the remainder when a is divided by 45? 44 Let v(h) = -7*h + 71. What is the remainder when v(-5) is divided by 54? 52 Suppose -3*u + v - 49 = u, -4*u - 5*v - 67 = 0. Let r = u - -29. Calculate the remainder when 45 is divided by r. 13 What is the remainder when (-2)/(-3 + (-61)/(-21)) is divided by 8? 5 Let f be ((-21)/7)/(6/4). Let n = 6 - f. Calculate the remainder when 29 is divided by n. 5 Suppose 0*r + 72 = 3*r. Suppose h + 36 = -3*p + 8*p, -2*p = 2*h - r. Calculate the remainder when (1/2)/((-5)/(-230)) is divided by p. 7 Let w(v) = v + 12. Let p(d) = -d + 11. What is the remainder when p(0) is divided by w(-9)? 2 Suppose -8 = -x - 2*r, -5*x - 7*r = -2*r - 45. What is the remainder when 17 is divided by x? 7 Let t(p) = 2*p**2 + 1. Suppose -5*v = 3*m - 19, -5*v + 36 = m + 13. What is the remainder when t(-4) is divided by 16 - 0 - 2/m? 16 Suppose -a + 5 = -0. Let i = 38 - 35. What is the remainder when a is divided by i? 2 Let t be (19 - 4)*(-10)/(-2). Let k = t - 30. Calculate the remainder when k is divided by 24. 21 What is the remainder when (30/(-9))/(2/(-12)) is divided by 11? 9 Suppose -d - 3*d = -48. Let m = 71 + -24. Calculate the remainder when m is divided by d. 11 Suppose 3*f = -f + 40. Let i = 72 - 43. What is the remainder when i is divided by f? 9 Suppose 6*u - 8 = 2*u. Suppose -5*n = 4*p - 2*p - 98, -p = u*n - 39. Let y = 15 + -4. What is the remainder when n is divided by y? 9 Let j be (0 - 5) + 3 + -2. Calculate the remainder when 37 is divided by (-54)/j + (-2)/4. 11 Let t = 8 - 13. Let b be -10*((-10)/4)/t. Let q = b - -9. Calculate the remainder when 7 is divided by q. 3 Suppose -2*x + 3*x = -3*a + 202, -2*x = -5*a + 344. Let n = -167 + 294. Let i = n - a. Calculate the remainder when i is divided by 20. 19 Suppose -2*g - 2*g = 3*a - 23, 0 = -3*a + 3*g + 9. What is the remainder when a is divided by 3? 2 Let m = -59 + 102. Suppose 3*y + m - 384 = -5*o, 0 = -o - y + 69. Calculate the remainder when o is divided by 17. 16 Suppose 3*h - j = 4*h - 15, 24 = 4*h - 5*j. What is the remainder when 41 is divided by h? 8 Suppose 0 = -2*f + r + 2, 3*f + 3*r - 25 = -r. Suppose -g + 184 = f*n, -3*n - 3*g = -8*g - 214. What is the remainder when n is divided by 16? 15 Let w = -106 - -116. What is the remainder when 36 is divided by w? 6 Let y(j) = 2*j**3 - 2*j**2 - j + 2. What is the remainder when y(3) is divided by (5 - 4)/(3/36)? 11 Let b be (0 + 35)*(16 - 15). Let q = b - 18. What is the remainder when q is divided by 5? 2 Suppose 5*i - 54 = 96. Calculate the remainder when 59 is divided by i. 29 Let y be (-1)/(-2) - 31/2. Let t be ((-42)/12)/(-1 - 9/(-6)). Let c = t - y. Calculate the remainder when 14 is divided by c. 6 Let m(h) = -3*h**3 + 1. Let g be m(-1). Suppose 4*a = -g + 36. What is the remainder when 30 is divided by a? 6 What is the remainder when 32 is divided by -3*((-15)/9 - 2)? 10 Suppose -m = m - 12. Suppose 15 = m*i - i. Suppose 15 = 5*x, w - 4*x - 76 = -i*w. What is the remainder when w is divided by 12? 10 Let q = 3 - 0. Suppose u + 3*v + 20 = 3*u, -6 = 3*v. Suppose 0 = -b - 4*f + 14, -2*b - 2*f = -f - u. What is the remainder when q is divided by b? 1 Calculate the remainder when 65 is divided by (((-858)/(-12))/(-13))/((-2)/8). 21 Let y = 6 + -6. What is the remainder when y/(-1) + (7 - -1) is divided by 0/3 - -3*1? 2 Suppose 3*l - 10 = -4. Let c be -1*(0 + 2) + 3. Calculate the remainder when 4 is divided by (4 - c)*(l - 1). 1 Let j = 1 + 13. Let l(g) = 28*g**3 + 1. Let a be l(1). Suppose -u - 48 - a = -2*w, -5*u - 185 = -5*w. What is the remainder when w is divided by j? 12 Let d = 435 + -229. Suppose -5*l + l + 3*g + d = 0, -3*g = 2*l - 94. Suppose -2*c + l = -0*c. Calculate the remainder when c is divided by 9. 7 Suppose 3*r - 5*x = 6*r - 38, -2*r - 2*x + 24 = 0. Calculate the remainder when (-5 - 2)*(-2 + -1) is divided by r. 10 Let q(i) = -i + 6. Let c be q(6). Let u be -2 - (-35 + -1 + c). Let z = u - 20. What is the remainder when z is divided by 8? 6 Let a(t) = -2*t - 4. Calculate the remainder when a(-9) is divided by 8. 6 Let u = -37 - -56. What is the remainder when u is divided by 5? 4 Let l = -11 - -24. What is the remainder when 48 is divided by l? 9 Calculate the remainder when 58 is divided by (-4)/(-14) + 552/28. 18 Suppose -2*z - h = -21, -h + 12 = -0*z + z. Suppose s - 4*s = -78. Calculate the remainder when s is divided by z. 8 Suppose 9 = k + 5*r, -4*k + 5*r = -2*k - 3. Suppose 2*l = -h + 25, 0*h = -k*h - l + 107. What is the remainder when 106 is divided by h? 25 Suppose 482 = 2*j + q, -q - 974 = -4*j + 2*q. What is the remainder when j is divided by 49? 46 Let f = -7 + 12. Suppose -f*j = -2*g - 69, -4*j + 37 = -j + g. Suppose -2*a + j = -75. What is the remainder when a is divided by 15? 14 Let y = 6 - -5. Suppose y = 2*p - 5. What is the remainder when 31 is divided by p? 7 Let m = 14 - -8. Let z = m - 13. What is the remainder when z is divided by 108/26 + (-4)/26? 1 Suppose -2*w - 2*w + 264 = 0. Suppose 0*r - 3*r = -w. What is the remainder when r is divided by (-108)/(-14) - (-4)/14? 6 Let g = 174 - 126. Calculate the remainder when g is divided by 7. 6 Suppose 4 = 5*k - 16. Let t = k - -11. Calculate the remainder when 27 is divided by t. 12 Let t be (-1 + -1 + 2)/2. Suppose t = 6*k - 4*k - 24. Calculate the remainder when 33 is divided by k. 9 Suppose -103 - 117 = -5*s. Let h = s + -30. What is the remainder when 41 is divided by h? 13 Suppose 99 = 5*w - 4*c, -3*w - 2*c - 2*c + 85 = 0. Suppose -5*g - 4*l = 2*l - 53, -44 = -4*g - 4*l. Calculate the remainder when w is divided by g. 10 Calculate the remainder when 40 is divided by 7 - -1*0/(-1). 5 Let z = -20 + 37. Suppose j = z + 9. Calculate the remainder when j is divided by (-405)/30*(-4)/6. 8 Let l = -5 - -15. Suppose -2*z = h - 36, -157 = -4*h + 3*z + 2*z. Suppose -k - h = -3*k. Calculate the remainder when k is divided by l. 9 Suppose -5*f + 7 = -2*n, 2*f - 2*n + 2 = -0*n. Suppose 0*o + f*o = 15, 4*o = 3*g - 55. What is the remainder when g is divided by 9? 7 Let p be 2 + -2 + 4 - 2. Let c = 6 - 7. Calculate the remainder when 19 is divided by -1 + p*(3 - c). 5 Let g be (16/24)/((-1)/57). Let b = g + 75. Calculate the remainder when b is divided by 13. 11 Suppose -r = -0*r + 3*u - 11, -2*u = -2*r + 54. What is the remainder when r is divided by (4/(-5))/(3/(-30))? 7 What is the remainder when 52 is divided by 1209/78 - 3/2? 10 Let z(u) = u**3 - 5*u**2 - 6*u - 5. Let d be z(6). Let q(f) = -f**2 - 7*f - 5. Let s(r) = r + 2. Calculate the remainder when q(d) is divided by s(0). 1 Let r be ((0 - -2)*1)/(-2). Let t(i) = -10*i + 1. Let a = 11 + 10. Calculate the remainder when a is divided by t(r). 10 Let p(d) = d**2 + 4*d - 6. What is the remainder when ((-30)/(-4))/((-7)/(-14)) is divided by p(-6)? 3 Suppose v = -2*p + 8, -9 = -5*v - 5*p + 51. Suppose 0 = 2*d - 6 - v. Calculate the remainder when (98/7)/((-4)/(-6)) is divided by d. 10 Suppose -a + 7 = k - 21, 2*k = -4*a + 108. Calculate the remainder when a is divided by 9. 8 Let r(a) = 3*a + 5. Let f(j) = 2*j + 3. Let w(l) = -8*f(l) + 5*r(l). What is the remainder when (-2)/(-3) - (-219)/9 is divided by w(-8)? 7 Suppose -x - 28 = -4*v + 2*v, 4*v - 4*x = 60. Suppose 27*r - 28*r = -25. Calculate the remainder when r is divided by v. 12 Suppose 3*s + 51 = 3*r, -3*s + 4 = 1. Calculate the remainder when 67 is divided by r. 13 Suppose 4*r - 48 - 152 = 0. Calculate the remainder when r is divided by 26. 24 Let w(d) = 0*d - 1 - 3*d + 2*d - 3*d
{ "pile_set_name": "DM Mathematics" }
luate 4 - (2 - -1) - 6 - -3. -2 Calculate 0 + -1 + 3 + 1. 3 -2 + (19 - 8) - 3 6 What is -123 + 115 + (1 - -11)? 4 Evaluate 1 - 2 - (-2 - 2). 3 What is -2 - ((-52 - -42) + 0 + 0)? 8 Evaluate 1 + -2 + -5 + 5. -1 What is the value of 4 + -4 - -4 - 4? 0 Evaluate 9 - (0 - -5 - -1). 3 Evaluate 11 + 8 + (10 - 20). 9 Evaluate (5 - 10 - -3) + 6. 4 What is -1 + 10 + -12 + 12 + -2? 7 What is the value of 0 + -1 + (6 - 4) + -3? -2 Calculate -25 + 26 - (-2 + -1 - -1). 3 Calculate 5 + 4 + -6 + (-3 - -1). 1 -4 - (-4 + (6 - 2)) - -6 2 What is the value of (2 - -5) + (13 - 15)? 5 What is the value of 1 - (-4 + 1 - 1)? 5 Evaluate -4 + 1 + -1 + 4. 0 What is -2 + (-2 + 1 - 0)? -3 Evaluate (-2 - 0 - -2) + 1 + 2. 3 What is the value of 0 + 0 + -48 + 51? 3 What is (-3 - (0 + -11)) + -15? -7 Calculate -46 - -53 - (1 - -17). -11 (1 - -10 - 7) + (-2 - 2) 0 What is 2 - 3 - (8 + 4 + -8)? -5 What is the value of -4 - (-5 - (3 - -1))? 5 What is 1 - (-3 + -6 + 5)? 5 Calculate -140 + 149 - ((4 - 0) + 0). 5 What is the value of 2 - 0 - (2 - (1 - 5))? -4 Calculate 7 + (2 - (-7 + (14 - 3))). 5 What is the value of (20 - 7) + -8 - 6? -1 Evaluate 6 + -7 + -4 + 1 + 2. -2 Evaluate -5 - (-2 - (-3 - -3)). -3 Calculate -2 - (4 - 3) - -3 - -3. 3 Evaluate -6 - (-2 - (-2 + -2)). -8 What is the value of -6 + 1 - (-16 + 15) - 1? -5 Evaluate (2 + -6 + 0 - -11) + -2. 5 Evaluate -2 - (-2 + (-5 - (2 + -7))). 0 What is 2 + -2 + -2 - -4? 2 What is 2 + (3 - 3 - 1) - -2? 3 What is the value of 8 + -7 + (10 - (4 - 0))? 7 0 - (2 + (5 - 11)) 4 What is 1 - (8 + -3 + -8)? 4 What is (-2 - -1) + 3 + (-13 - -7)? -4 Evaluate (-2 - 18) + (14 - 3). -9 Calculate 1 + -1 + 40 + -45. -5 Calculate (-2 - 8) + (8 - 3). -5 What is the value of -1 + (-5 - 0) - -4? -2 Calculate (5 + -1 - -1) + -10. -5 Calculate -84 + 85 - (-3 - 1). 5 What is the value of (6 - 2) + -2 + 1 + -3? 0 Evaluate (3 - (0 + 7)) + 7 + -4. -1 Evaluate 2 + 1 + (7 - 6) - 1. 3 (-5 + 11 - -3) + -4 5 Calculate 1 - (3 - 8 - -3 - -5). -2 What is 125 + -122 + -1 + (-3 - -1)? 0 Evaluate 47 + -54 - (-4 - 0). -3 Evaluate 2 + (-6 - (2 + -6)). 0 Calculate -9 + 6 + 5 - (-3 - 0). 5 What is 8 - (-5 + 2 - (-7 + 1))? 5 Evaluate 4 + -13 + (14 - 2). 3 (-4 - 4) + (9 - (-5 + 7)) -1 -4 + -2 + 3 + -19 + 24 2 -1 - ((1 + 4 - 3) + -2) -1 What is (-19 + 10 - -4) + 0? -5 What is the value of -18 + 15 - (1 - 8)? 4 What is the value of -3 - (3 + (-1 - 9))? 4 -2 - (-4 + (5 - 1)) -2 Calculate 4 + -5 + 8 + -4 + -4. -1 Calculate (-8 - -10) + 1 + -4 + 0. -1 Evaluate (3 - 4) + -20 - -14. -7 Evaluate -1 - 1 - (7 - (-8 + 15)). -2 Calculate (0 - 4 - -1) + 4. 1 What is (1 - (0 - -5)) + -1 + 1? -4 What is (6 - (0 - -5) - -14) + -7? 8 Evaluate (-14 - -8) + 2 + (-2 - -4). -2 What is -13 + -2 + 14 + (-3 - 1)? -5 What is 0 + 3 + (-4 + 2 - -1)? 2 What is 8 + (-7 - -4 - 1)? 4 What is 3 + (5 + -4 - -1)? 5 What is -3 + -3 - -5 - 4? -5 What is the value of (2 + -2 - -2 - 8) + 2? -4 Evaluate (0 - 4 - -5) + 1. 2 What is the value of 9 - (-1 + -1 - (-3 + -2))? 6 -1 + 1 + -3 - -4 1 What is the value of 1 + -1 + -3 + 2 + 0? -1 What is the value of (-2 - -5) + -1 + 0 - 2? 0 What is -4 + 22 - 9 - 16? -7 -8 - ((2 - 5) + -1) -4 Calculate 4 - (8 - 3 - 2) - 3. -2 -1 - (6 + -13 - -3) 3 What is 3 + (-2 + (0 - -3) - 3)? 1 -2 - (2 - (12 + -8)) 0 Evaluate 4 - (2 + 4 + 3). -5 0 + (0 - -2) + -5 -3 What is the value of 0 - (2 + -2) - 1 - 0? -1 0 - (4 - (2 - -4)) 2 (1 - -2) + -7 - 4 -8 Calculate -19 + -11 + 22 - -8. 0 Calculate 63 + -63 + -1 + 0 + 6. 5 Calculate -17 + 5 + (6 - -1). -5 What is the value of 2 - 17 - (0 - 10)? -5 Calculate (73 - 68) + (-4 - 1). 0 -3 + (6 - 3) - (1 + -3) 2 -3 + 2 - (-8 + (4 - 3)) 6 What is the value of (9 - 1) + -2 + (17 - 31)? -8 Calculate 85 + -80 - (0 + 5). 0 What is the value of 7 - (6 - (1 - 0))? 2 What is the value of 3 - -7 - 8 - 5? -3 Calculate -2 + 5 - (-2 + (1 - -6)). -2 Evaluate -8 + 1 + (6 - -3). 2 What is the value of 3 - ((-2 - (-2 + -1)) + 1)? 1 What is (-2 - 0) + (7 - 5 - 6)? -6 What is the value of 1 + -5 + 0 - 1? -5 Evaluate (-2 - -1) + 2 + (1 - 1). 1 What is the value of 0 + (4 - (-4 + 8)) + -6? -6 What is the value of (-6 - 0 - (-40 - -42)) + 5? -3 Calculate -12 - -10 - (-1 + -3) - 7. -5 Evaluate (3 - 1) + -5 - (-19 + 16). 0 What is the value of 15 + -3 + -1 + -4 - 3? 4 Evaluate -1 - ((-1 - 4) + 0 + 10). -6 Calculate 3 + 2 - (6 + -7 - -4). 2 Evaluate -6 + 2 + 2 - -7. 5 Evaluate (-3 - (1 + -4)) + 1. 1 What is 0 + (0 - (0 + -4))? 4 Evaluate -5 + 8 + 4 - (1 - -2). 4 What is the value of 4 - (4 - -1 - -1)? -2 2 + (6 - 3) + -3 + 1 3 -7 + 3 - -10 - (-2 + 9) -1 What is the value of -4 + 5 + (7 - (5 - 1))? 4 What is the value of 5 + -2 + (4 - 3) - 6? -2 12 + -7 - (-5 + 12) -2 Calculate 1 - (-1 + 3 - (-1 + 4)). 2 What is (2 - 4) + -1 + -4 + 13? 6 Evaluate -19 - -20 - (2 + -4). 3 -9 - 0 - (13 + -17) -5 What is the value of (3 + 1 - 4) + -12 + 11? -1 Evaluate -3 - (-3 + (4 - 1)). -3 Evaluate -2 + -1 - (5 + -3 + -2). -3 Evaluate (7 + (3 - 20) - -6) + 1. -3 What is (-16 - (-14 - -1)) + 9? 6 Calculate -2 - (1 + -6) - 3. 0 Calculate 11 - 4 - (12 + -2). -3 Evaluate 4 - (1 + 2 + 1). 0 Evaluate -3 - ((2 - 6) + -8 - -4). 5 Evaluate 0 + -2 + 4 - -3. 5 Calculate 5 - 1 - (4 - (-3 - -13)). 10 What is -1 + -4 + 0 + (-3 - -4)? -4 Evaluate 23 + -13 - (10 - 1). 1 Calculate -3 + 4 + 4 - 3. 2 Calculate 0 - 17 - -9 - 0. -8 Calculate (-2 - 0) + (4 - -5). 7 What is (1 - -9) + (-30 - -11)? -9 Calculate -6 + (13 - (3 + 5)). -1 What is the value of (0 - -10) + (-2 - 3)? 5 What is the value of -4 - (-3 - -5 - 1)? -5 Evaluate 2 - (2 + -2 - -1) - 1. 0 What is 4 + -4 + (1 - -3)? 4 Evaluate (6 - 2) + -3 + 5. 6 5 + -4 - (-1 + 0 + 0) 2 What is the value of (-7 + 4 - -4) + -6? -5 Evaluate 0 + 2 + (2 - (8 - 5)). 1 (22 - 15) + (0 - 1 - 5) 1 What is the value of 4 - (8 + -1 - -2)? -5 What is the value of (-1 - 4) + -25 + 27? -3 What is 11 - 3 - 21 - -4? -9 Calculate 7 - (6 + -1 - -2). 0 Calculate -3 + (-6 - -6) - -3. 0 What is the value of (-13 - -6) + 7 - (0 + -1)? 1 (1 - -2) + (0 - -4) + -6 1 What is (-3 - -5 - -4) + -4? 2 What is (4 - (1 - -2)) + 3 + -1? 3 2 + -6 + (9 - 2) 3 Calculate 22 + -16 - (-4 + 4). 6 What is 2 - 1 - (0 - (-1 - 0))? 0 Calculate 5 - (3 + (0 - (2 + -1))). 3 What is -1 - ((-2 - -6) + -3 - -4)? -6 What is -7 - (-6 + 4) - 0? -5 What is 3 - (0 + 7) - -4 - -2? 2 19 - (7 - -1) - (4 - 0) 7 What is the value of 1 - (-1 + 5 + 0)? -3 What is -9 + 6 + -15 + 11? -7 What is the value of 2 - (-1 + -6 - -1)? 8 What is the value of (-2 - -4) + -7 + 9? 4 What is the value of 0 - (4 - 1) - (5 + -3)? -5 (2 - 0 - -3) + -3 2 What is -19 - (-15 + -10 + 16)? -10 What is the value of 4 + (0 - -7) - 6 - 0? 5 7 + 3 + 7 + -16 1 -3 - (-2 + (-2 - (-1 + -5))) -5 What is (7 + -2 - (9 - 0)) + 0? -4 What is -6 + (-1 - 6) + 12? -1 What is the value of -6 + 2 + -6 + 4? -6 Evaluate 2 + (17 + -16 - (5 - 0)). -2 What is -4 + 4 + (-5 - -3) + -1? -3 Calculate -2 + 8 + -8 + 3. 1 Evaluate (9 - (1 + 3)) + -2 + 2. 5 Calculate 5 - (-5 - -5) - 10. -5 What is the value of (0 - -3) + -4 - 4? -5 1 - (5 - 7) - -2 - 2 3 What is the value of 3 - (3 + 4 + -3 + 4)? -5 (13 - (0 + 5) - 2) + -3 3 What is (3 - 4 - -9) + -1? 7 Evaluate 4 + -8 + 2 + 0 + 2. 0 Calculate 2 + (-3 + 3 - -6). 8 Calculate (-6 - -15) + 5 + -9. 5 What is (6 - 4) + -3 - (-5 - -1)? 3 Calculate (-6 - 0 - (1 - 3)) + 2. -2 (3 - 6) + 2 - (0 + 4) -5 Calculate 0 - (3 + 4) - -7. 0 What is the value of -15 + 17 - (2 + 4)? -4 (17 - 19) + 13 + -4 7 Evaluate 8 + -14 + 8 + -8. -6 What is (-4 + (3 - 5) - -13) + 0? 7 What is the value of (4 + (8 - 7) - 5) + 1? 1 What is 0 + 5 + (-8 - -16) + -11? 2 (-1 - (2 - 0)) + 9 + -1 5 Calculate -5 + (-9 - (-9 + 4)) + 11. 2 Evaluate 0 + 10 + -10 + 8 + -2. 6 Calculate 4 + (-3 - (0 - 0)) + 2. 3 2 - ((-1 - -2) + 0) 1 Evaluate (10 - 2) + (-2 - (-1 + 2)). 5 What is 0 - -1 - (-3 + 6) - -5? 3 4 + -1 - (9 + -20 - -8) 6 Calculate 1 + -5 - -4 - (-4 + 5). -1 (2 - 9 - -4) + 5 2 (5 + -7 - 10) + 13 1 What is the value of -3 + -6 + 3 + 5 + -3? -4 Calculate 0 - ((-8 - -2) + 3). 3 -3 - (0 - 4 - -1 - -2) -2 Evaluate 0 + -4 - (10 + -5 - 14). 5 Calculate -4 - 5 - -3 - -9. 3 What is the value of 0 - ((0 - (-1 + -1)) + 1)? -3 What is the value of -5 + (0 - -1) - (0 + -3)? -1 What is -8 + (4 - (-8 - (-11 - -1)))? -6 Calculate 0 + -7 + 2 + 5. 0 Calculate -11 + 6 + (-1 -
{ "pile_set_name": "DM Mathematics" }
1, 8? 0.1 What is the closest to 1/4 in -2/19, -5, 2/11? 2/11 What is the closest to 1 in 6, -1/2, -9? -1/2 Which is the closest to 2/3? (a) -0.2 (b) -0.3 (c) 0.4 (d) -71 c What is the nearest to 1.5 in -1, 2/7, -0.5? 2/7 Which is the nearest to -2/9? (a) -3/2 (b) -14 (c) -2 a What is the closest to -2 in -5, 0.36, -0.5, 4/5? -0.5 What is the closest to 0.1 in 3, 1/5, 9? 1/5 What is the nearest to 1 in 0.02, 12, -3/5? 0.02 What is the closest to -66/19 in 4, 3/8, 0.02? 0.02 Which is the nearest to 1/5? (a) 2/15 (b) 0 (c) -0.2 a What is the nearest to 0 in 4/21, -1/5, 2/3, -4? 4/21 Which is the closest to 2? (a) 85 (b) -10 (c) 1/3 (d) -0.2 c Which is the closest to 2? (a) -2 (b) -159 (c) -2/11 c Which is the nearest to 0.1? (a) -3 (b) 5 (c) 4 a Which is the nearest to 1? (a) 1/2 (b) 1418 (c) 0.4 a Which is the closest to -6/7? (a) -2 (b) -1 (c) -0.03 (d) -5 b Which is the nearest to 0.1? (a) -2/11 (b) 0.4 (c) 202 (d) -4 a Which is the nearest to -4? (a) 0.1 (b) 2/17 (c) 6 (d) 1 a What is the nearest to -2/7 in 2/3, -13/5, 2? 2/3 What is the closest to -2/9 in 2/13, 5, 0.4, -18? 2/13 Which is the closest to 3? (a) -1 (b) 4/3 (c) 2 c What is the nearest to -4/19 in 1, 0.3, 1/7? 1/7 What is the nearest to 1 in 3, -4, 2/5? 2/5 What is the closest to 2/187 in 1/7, 0.168, 0.2? 1/7 What is the nearest to 1/4 in 2/13, 4, -6/5, 1.1? 2/13 Which is the nearest to -2/9? (a) -9 (b) 2 (c) 0.2 (d) 5 c What is the closest to 1/4 in 1/4, -31, -0.2, -3? 1/4 Which is the closest to 55? (a) 3/22 (b) -1 (c) -1/3 a What is the nearest to -11 in 1/5, 0.1, -3, 2/21? -3 What is the nearest to 0.1 in -0.5, 3, -57? -0.5 Which is the closest to 2? (a) 4/7 (b) -2 (c) -5 a Which is the nearest to 203? (a) -0.1 (b) 3/7 (c) -3 b Which is the closest to 0? (a) 0 (b) -5 (c) -0.4 (d) 21 a What is the closest to -2 in -4, 0.1, 2/9, -2? -2 What is the closest to 0.1 in -5, -9, -2.4, -0.1? -0.1 Which is the nearest to 7/2? (a) 2/17 (b) -1 (c) 1/8 c Which is the closest to -0.2? (a) 0.5 (b) 2/5 (c) -1 (d) 2/29 d What is the nearest to 88 in 1/2, -0.3, -3? 1/2 What is the nearest to -7/2 in 2, -1, -1.3, 2/9? -1.3 Which is the closest to -0.1? (a) 0.4 (b) -3 (c) 1 (d) -0.266 d Which is the nearest to -8? (a) -0.5 (b) -4 (c) 2 (d) 1 b What is the closest to 2 in -4, -1, 18, -9? -1 What is the closest to -2 in 4, 70, -6/11, -5? -6/11 Which is the nearest to 7/118? (a) -3 (b) -1/5 (c) 2 b What is the closest to 11/2 in -5, -0.1, 1/6? 1/6 Which is the nearest to 7? (a) -2/9 (b) -3 (c) -10/7 a Which is the nearest to 3? (a) -19/3 (b) 0.05 (c) 3 c Which is the closest to 0.1? (a) 0.5 (b) 0.4 (c) -2/49 (d) -2 c What is the closest to -0.04 in -4/9, -5, -2? -4/9 What is the nearest to 1 in -5, 3, -41, -0.5? -0.5 What is the closest to 1 in -3, 2, 1/7? 1/7 What is the closest to 1 in -4/5, 2/5, 2? 2/5 What is the closest to 0.1 in -148, 0.5, 5? 0.5 What is the nearest to 0.6 in 30, 0.4, -1? 0.4 What is the closest to 1 in 1/4, -32, 0.06? 1/4 What is the nearest to 1 in 0.4, 1/4, -20/7? 0.4 Which is the nearest to 1? (a) 5 (b) -0.02 (c) -10 b Which is the closest to 0.1? (a) -0.7 (b) 5 (c) 25 a Which is the nearest to 2? (a) -3 (b) -0.3 (c) 5 (d) 3 d Which is the nearest to 1? (a) 1/3 (b) -2 (c) -2/13 (d) -0.9 a Which is the closest to 0.25? (a) 2 (b) 2/19 (c) 3 (d) -2 b Which is the nearest to -436? (a) -2/15 (b) -6 (c) 0 b What is the closest to 0.2 in 6/5, 1/3, -2/3, -3? 1/3 What is the nearest to -1/2 in -0.5, 1/3, 5, 4? -0.5 What is the nearest to 6/11 in 2/9, 2.2, -0.2? 2/9 Which is the closest to 1? (a) -0.1 (b) 5 (c) -2/7 (d) 1.16 d Which is the closest to 0? (a) 1 (b) -19 (c) 2/21 (d) -3/5 c What is the closest to 0 in 5, 1, 2/5, -1/3? -1/3 Which is the nearest to -2? (a) -1 (b) 14 (c) 5 a What is the closest to 1/9 in 0.8, -0.3, 0, 1/4? 0 Which is the closest to 1? (a) -95 (b) -2 (c) 0 c What is the nearest to -2 in 2, -102/13, 0? 0 What is the closest to 0.02 in 1, -3, 4/5, -0.5? -0.5 Which is the nearest to -5? (a) 2/3 (b) -0.4 (c) -1/12 b Which is the nearest to 2? (a) 27.8 (b) 0 (c) -4 b Which is the nearest to -0.07? (a) -3 (b) 1/3 (c) 0.05 (d) -1/5 c Which is the nearest to -1? (a) 2 (b) -3 (c) 1/3 c Which is the nearest to 2/25? (a) -1 (b) 2/7 (c) -2/17 c Which is the nearest to 34? (a) 3 (b) -5 (c) 0.1 (d) -1/4 a What is the closest to 1 in -0.2, 0.2, 5/2, -3? 0.2 What is the closest to -1/2 in 0.2, -10, -2/33? -2/33 What is the nearest to 1 in 5, -2/13, 1/4, -99? 1/4 What is the closest to 0 in -1/5, -3/7, -5, -1/35? -1/35 Which is the nearest to 1/3? (a) 0 (b) 13 (c) 6 a Which is the nearest to -1? (a) 0.1 (b) -0.4 (c) 0.2 (d) -7.09 b What is the nearest to 0.1 in 0.04, 0.3, -3/4, 0.5? 0.04 What is the nearest to 4.6 in -0.4, -8, 0, 5? 5 What is the nearest to 3 in 2/7, -4, 17, 5? 5 Which is the closest to 1? (a) -2/3 (b) -1 (c) 4 (d) -61 a Which is the closest to 2? (a) -3 (b) -0.5 (c) -2327 b What is the closest to -1 in 11, -0.5, 0.3? -0.5 What is the nearest to 2/3 in -1, -3, -0.4, -0.2? -0.2 What is the closest to 0.1 in -1/36, 5, 4, 2? -1/36 What is the nearest to -0.01 in -1, 0.4, -1/4, -0.09? -0.09 Which is the nearest to 5? (a) 5/4 (b) -3 (c) -0.029 (d) 0.5 a Which is the nearest to -3/2? (a) 0 (b) 1/6 (c) 3/5 (d) 5 a Which is the closest to 2/3? (a) -0.1 (b) -36 (c) 0.5 c Which is the closest to 2? (a) 3/5 (b) 0.42 (c) -6/11 a Which is the closest to -1? (a) -30 (b) -0.1 (c) 0.4 (d) -4/5 d Which is the closest to -2? (a) -2/13 (b) 0.1 (c) 0.3 (d) 0.8 a What is the nearest to -5 in -1, 3, -2/11? -1 What is the nearest to 3 in -1, -2, -6? -1 Which is the closest to 0? (a) 4 (b) -1 (c) -2/3 (d) 0.4 d Which is the nearest to 0? (a) -1 (b) -3/2 (c) 4 (d) -0.1 d Which is the nearest to -1? (a) 0.09 (b) -5 (c) -0.28 c Which is the nearest to -2/45? (a) 1 (b) -1 (c) -5 b What is the nearest to 3 in 2/5, -4, 7? 2/5 What is the nearest to 2/5 in 4, -1/7, 9, -1/4? -1/7 What is the closest to 1/2 in -20, 3/2, -1/5? -1/5 Which is the closest to -1? (a) -5/3 (b) 10.8 (c) -4 a What is the nearest to -2/7 in -5, 3, -9, 0.4? 0.4 What is the closest to -0.3 in -8, -5, 1, -1? -1 Which is the closest to -1/2? (a) 5 (b) -1 (c) 26 (d) 2/15 b What is the closest to -2 in 0.4, -24, 17? 0.4 Which is the nearest to 1/3? (a) -0.4 (b) 25 (c) 1/5 c What is the closest to -2.3 in 1, -1, 0, -4? -1 Which is the nearest to 0.3? (a) 0.19 (b) -4 (c) 13 a What is the nearest to -1/2 in 0, -4, 0.1, 2/15? 0 Which is the closest to -0.06? (a) 1/4 (b) 2/15 (c) 0 (d) -2 c Which is the nearest to 1/4? (a) -5 (b) -2/11 (c) 1/7 c What is the nearest to 0 in 44, 6, 1/3? 1/3 Which is the closest to -1? (a) -2/3 (b) -0.3 (c) 18 a Which is the closest to -0.2? (a) -1/5 (b) -23 (c) -15 a Which is the closest to 5/4? (a) -0.7 (b) -5 (c) -0.4 c Which is the closest to -2? (a) -0.06 (b) 5 (c) -0.4 (d) -1/2 d Which is the nearest to 2? (a) 1 (b) 0.04 (c) -1 (d) -2/7 a Which is the nearest to 1? (a) 34 (b) -2 (c) -4 b What is the closest to 2 in -4, -5, 2/29? 2/29 Which is the closest to -4/3? (a) 5 (b) 3/2 (c) -4 (d) 2 c What is the nearest to -1 in -7367, 4, -1/4? -1/4 Which is the nearest to 1/3? (a) 15/4 (b) -0.2 (c) -3/2 (d) 1 b Which is the closest to -2? (a) -0.11 (b) 1/8 (c) -1/5 (d) -2/11 c What is the closest to 0.1 in 2, -80.2, 0.3? 0.3 Which is the nearest to -2/9? (a) -1/15 (b) 4 (c) 10/51 a Which is the nearest to -1? (a) 0.15 (b) 0.3 (c) 0 c Which is the nearest to -134? (a) -0.3 (b) 3 (c) 1 (d) 2/7 a Which is the nearest to -0.76? (a) 4 (b) -0.2 (c) 0.1 b Which is the nearest to 0.1? (a) 0.5 (b) -2/5 (c) -0.01 c What is the nearest to 4 in 9/5, 2/11, -0.1? 9/5 Which is the closest to 274? (a) 0 (b) 25 (c) 0.2 b Which is the nearest to -2/1003? (a) 5 (b) -2 (c) 2/13 c What is the closest to 1/4 in 4, 0, -6/5, -3.9? 0 Which is the closest to 0.3? (a) 10 (b) -20 (c) -0.4 c What is the closest to 3/8 in 0.02, 4, 1? 0.02 What is the closest to -25 in 0, -4, 0.1, 1? -4 Which is the closest to 0.1? (a) -37 (b) -1 (c) 3/5 c Which is the neare
{ "pile_set_name": "DM Mathematics" }
the units digit of 1304? 4 What is the units digit of 19067? 7 What is the units digit of 130? 0 What is the tens digit of 2782? 8 What is the units digit of 94174? 4 What is the units digit of 23329? 9 What is the thousands digit of 73544? 3 What is the units digit of 1439? 9 What is the units digit of 61351? 1 What is the thousands digit of 1052? 1 What is the units digit of 1070? 0 What is the tens digit of 922? 2 What is the units digit of 4868? 8 What is the hundreds digit of 8360? 3 What is the thousands digit of 99495? 9 What is the ten thousands digit of 33997? 3 What is the hundreds digit of 7905? 9 What is the units digit of 1127? 7 What is the hundreds digit of 935? 9 What is the units digit of 6? 6 What is the thousands digit of 3204? 3 What is the tens digit of 773? 7 What is the hundreds digit of 704? 7 What is the tens digit of 252? 5 What is the units digit of 11704? 4 What is the tens digit of 2204? 0 What is the thousands digit of 75895? 5 What is the hundreds digit of 131962? 9 What is the ten thousands digit of 65519? 6 What is the hundreds digit of 2899? 8 What is the units digit of 42325? 5 What is the thousands digit of 1114? 1 What is the ten thousands digit of 52555? 5 What is the units digit of 607? 7 What is the units digit of 755? 5 What is the tens digit of 920? 2 What is the hundreds digit of 24099? 0 What is the tens digit of 7556? 5 What is the tens digit of 4239? 3 What is the units digit of 27044? 4 What is the thousands digit of 8671? 8 What is the hundreds digit of 1251? 2 What is the hundreds digit of 117786? 7 What is the hundreds digit of 4262? 2 What is the units digit of 17356? 6 What is the hundreds digit of 26751? 7 What is the thousands digit of 10226? 0 What is the thousands digit of 13069? 3 What is the hundreds digit of 2983? 9 What is the units digit of 13225? 5 What is the hundreds digit of 271? 2 What is the ten thousands digit of 62846? 6 What is the hundreds digit of 7367? 3 What is the tens digit of 792? 9 What is the tens digit of 1979? 7 What is the thousands digit of 10556? 0 What is the units digit of 44585? 5 What is the units digit of 358? 8 What is the hundreds digit of 175? 1 What is the tens digit of 1761? 6 What is the thousands digit of 36948? 6 What is the hundreds digit of 1376? 3 What is the tens digit of 19217? 1 What is the tens digit of 25427? 2 What is the thousands digit of 14994? 4 What is the ten thousands digit of 68570? 6 What is the units digit of 38615? 5 What is the thousands digit of 9016? 9 What is the units digit of 484? 4 What is the tens digit of 2902? 0 What is the hundreds digit of 4390? 3 What is the tens digit of 2285? 8 What is the tens digit of 25204? 0 What is the tens digit of 100126? 2 What is the tens digit of 381? 8 What is the tens digit of 16926? 2 What is the thousands digit of 38459? 8 What is the thousands digit of 25969? 5 What is the thousands digit of 18820? 8 What is the tens digit of 15779? 7 What is the tens digit of 173671? 7 What is the hundreds digit of 62708? 7 What is the hundreds digit of 1294? 2 What is the tens digit of 41490? 9 What is the units digit of 752? 2 What is the tens digit of 4643? 4 What is the hundreds digit of 3301? 3 What is the units digit of 14548? 8 What is the ten thousands digit of 92119? 9 What is the tens digit of 2590? 9 What is the thousands digit of 1740? 1 What is the hundreds digit of 49759? 7 What is the tens digit of 13171? 7 What is the tens digit of 20149? 4 What is the thousands digit of 3539? 3 What is the units digit of 6261? 1 What is the hundreds digit of 74874? 8 What is the tens digit of 24607? 0 What is the hundred thousands digit of 106492? 1 What is the hundreds digit of 738? 7 What is the tens digit of 13797? 9 What is the units digit of 45827? 7 What is the thousands digit of 78958? 8 What is the thousands digit of 9896? 9 What is the hundreds digit of 29965? 9 What is the tens digit of 858? 5 What is the thousands digit of 1584? 1 What is the ten thousands digit of 66872? 6 What is the thousands digit of 6317? 6 What is the tens digit of 54343? 4 What is the tens digit of 3398? 9 What is the units digit of 88? 8 What is the hundreds digit of 58102? 1 What is the tens digit of 33544? 4 What is the units digit of 627? 7 What is the units digit of 50289? 9 What is the tens digit of 123669? 6 What is the tens digit of 12370? 7 What is the hundreds digit of 6145? 1 What is the units digit of 12003? 3 What is the units digit of 60? 0 What is the hundreds digit of 1649? 6 What is the hundreds digit of 2485? 4 What is the tens digit of 5245? 4 What is the tens digit of 121829? 2 What is the tens digit of 7677? 7 What is the tens digit of 2558? 5 What is the thousands digit of 2306? 2 What is the units digit of 1195? 5 What is the units digit of 3997? 7 What is the tens digit of 780? 8 What is the tens digit of 667? 6 What is the tens digit of 1584? 8 What is the units digit of 4058? 8 What is the hundreds digit of 1063? 0 What is the hundreds digit of 692? 6 What is the tens digit of 5640? 4 What is the thousands digit of 4361? 4 What is the tens digit of 157? 5 What is the thousands digit of 1945? 1 What is the thousands digit of 1126? 1 What is the ten thousands digit of 44715? 4 What is the units digit of 5290? 0 What is the thousands digit of 21235? 1 What is the thousands digit of 49843? 9 What is the thousands digit of 30414? 0 What is the hundreds digit of 16130? 1 What is the units digit of 4902? 2 What is the tens digit of 18454? 5 What is the hundreds digit of 9379? 3 What is the thousands digit of 1535? 1 What is the tens digit of 522? 2 What is the hundreds digit of 10775? 7 What is the hundreds digit of 1067? 0 What is the hundreds digit of 2963? 9 What is the tens digit of 138398? 9 What is the tens digit of 10022? 2 What is the units digit of 481? 1 What is the hundreds digit of 2618? 6 What is the tens digit of 5743? 4 What is the tens digit of 1193? 9 What is the tens digit of 4933? 3 What is the tens digit of 835? 3 What is the units digit of 7008? 8 What is the ten thousands digit of 66523? 6 What is the hundred thousands digit of 107554? 1 What is the thousands digit of 1288? 1 What is the ten thousands digit of 45394? 4 What is the units digit of 49223? 3 What is the thousands digit of 7828? 7 What is the units digit of 994? 4 What is the tens digit of 377? 7 What is the tens digit of 1156? 5 What is the tens digit of 91? 9 What is the units digit of 3399? 9 What is the hundreds digit of 35954? 9 What is the hundreds digit of 1605? 6 What is the ten thousands digit of 19584? 1 What is the hundreds digit of 313? 3 What is the ten thousands digit of 17128? 1 What is the hundreds digit of 65270? 2 What is the tens digit of 124? 2 What is the units digit of 355? 5 What is the units digit of 19747? 7 What is the hundreds digit of 879? 8 What is the units digit of 1073? 3 What is the units digit of 671? 1 What is the thousands digit of 20548? 0 What is the hundreds digit of 55890? 8 What is the hundreds digit of 1103? 1 What is the hundreds digit of 4839? 8 What is the tens digit of 2403? 0 What is the thousands digit of 1646? 1 What is the hundreds digit of 967? 9 What is the tens digit of 52761? 6 What is the tens digit of 1139? 3 What is the tens digit of 463? 6 What is the thousands digit of 6302? 6 What is the hundreds digit of 15996? 9 What is the ten thousands digit of 21533? 2 What is the ten thousands digit of 41267? 4 What is the hundreds digit of 1370? 3 What is the hundreds digit of 2257? 2 What is the ten thousands digit of 130877? 3 What is the units digit of 3046? 6 What is the tens digit of 6679? 7 What is the hundreds digit of 774? 7 What is the thousands digit of 1841? 1 What is the tens digit of 13505? 0 What is the units digit of 13271? 1 What is the units digit of 29439? 9 What is the tens digit of 888? 8 What is the hundreds digit of 4926? 9 What is the hundreds digit of 9938? 9 What is the hundreds digit of 279? 2 What is the hundreds digit of 48906? 9 What is the hundreds digit of 582? 5 What is the hundreds digit of 6681? 6 What is the ten thousands digit of 33311? 3 What is the thousands digit of 20214? 0 What is the hundreds digit of 6704? 7 What i
{ "pile_set_name": "DM Mathematics" }
(d) -2 c What is the nearest to 1 in 396, -2/11, -3/10, 3/5? 3/5 What is the nearest to 2 in 4, -5, -1, -114? 4 Which is the nearest to -0.2? (a) -2/3 (b) 0 (c) -2/13 c What is the nearest to 0.15 in 0.5, 0, -0.03? 0 Which is the closest to -23/6? (a) -4/5 (b) -4 (c) -0.4 b What is the closest to -0.1 in 2/3, 4, 1/65? 1/65 What is the closest to 1/3 in 2, 311, -3/7? -3/7 What is the nearest to -6 in 16, -2, 2, 0? -2 What is the closest to -0.5 in -3/7, 0, 0.41, 6? -3/7 What is the closest to -8 in 0.1, -2/11, 0.4? -2/11 Which is the nearest to -3/8? (a) -0.07 (b) 3 (c) 0 a What is the nearest to -0.08 in -1/3, 5, -0.4? -1/3 What is the nearest to -1/2 in 1, -2/29, -0.2? -0.2 Which is the nearest to -3/2? (a) -6 (b) 2 (c) 0.4 (d) -8 c What is the nearest to 0 in 2/7, 1/3, -12.2? 2/7 What is the closest to 0 in -5, -9, 8/9? 8/9 What is the nearest to 169 in 3, -0.1, -0.5, -1? 3 What is the nearest to 1/2 in 0.26, 0.2, 0.18? 0.26 Which is the nearest to -1? (a) -1/4 (b) -1 (c) 0.3 b What is the closest to 3 in -5, 224, -2/11, -0.1? -0.1 What is the closest to -53 in 4, -1, 3? -1 What is the nearest to 0.1 in -33/7, -2, 3? -2 What is the nearest to 0.8 in -5, -2/11, -18/13? -2/11 What is the nearest to -1/3 in -4, 111, 3? 3 What is the closest to 0 in 0.3, -3, 4? 0.3 What is the closest to 0.214 in -0.1, 2/9, 0? 2/9 Which is the closest to -0.07? (a) -0.1 (b) 3 (c) -0.4 (d) 42 a Which is the nearest to -0.1? (a) 0.2 (b) 0.06 (c) -6/109 c What is the nearest to -1 in 4, -0.1, -2/5, 1/2? -2/5 Which is the nearest to -2? (a) -0.2 (b) 0.029 (c) 4 (d) 2 a What is the nearest to 0 in 0.4, 2/13, -3/8, -1/10? -1/10 What is the nearest to -2 in -0.3, 5, -40/3? -0.3 Which is the nearest to 8/17? (a) 1/3 (b) 2/23 (c) -1 a What is the nearest to -2/5 in 92, -1/2, 1? -1/2 What is the closest to 0.01 in -4, 0.4, 2, -0.15? -0.15 Which is the closest to 6? (a) -3/8 (b) -2/67 (c) -0.2 b Which is the closest to -6? (a) 0.6 (b) 1/3 (c) -1/10 c Which is the nearest to -0.1? (a) -5/3 (b) -0.1 (c) 1 (d) -1/7 b Which is the nearest to 1/2? (a) -3 (b) 5 (c) 78 a Which is the nearest to 22/3? (a) -3 (b) -3/5 (c) 1 c What is the closest to -2/5 in 3, -8, 0.4, 5/7? 0.4 What is the closest to 0 in 17, 2/19, -11? 2/19 Which is the nearest to 1/3? (a) 0.4 (b) -4 (c) 1/4 (d) 3 a Which is the nearest to -0.16? (a) -4/7 (b) 5 (c) 4 (d) 2/15 d What is the nearest to -2 in -0.01, -0.3, 2? -0.3 What is the nearest to 3/10 in 1.8, -1/6, -1? -1/6 Which is the nearest to -6? (a) -0.3 (b) 1/5 (c) -0.03 a What is the nearest to -189 in 4, -2/3, 5, 0.4? -2/3 Which is the closest to 4/11? (a) -1 (b) 0.3 (c) 0 (d) 5 b Which is the nearest to -10? (a) 5 (b) -0.2 (c) 2 (d) 0.4 b Which is the nearest to 32? (a) -0.1 (b) -2/3 (c) -3 (d) 1 d Which is the nearest to -1/7? (a) -3 (b) 0.17 (c) -32 b What is the nearest to -1/2 in -2, 3, -0.5, 1/4? -0.5 Which is the closest to 1? (a) -82 (b) -2 (c) -1/3 (d) 5 c What is the closest to -176 in 3, -1, -5, -2? -5 Which is the nearest to 3/5? (a) -8 (b) -1/4 (c) -1 (d) -0.2 d What is the closest to 0 in 2/3, 0.2, 50? 0.2 What is the nearest to 9 in 0.08, 3, -1? 3 Which is the closest to 0.98? (a) -2/5 (b) -0.1 (c) 6 (d) -2 b What is the closest to 0.1 in -5, 2, -2, 3? 2 Which is the nearest to -2? (a) -4 (b) -1/6 (c) 2 b Which is the closest to -2/3? (a) -16 (b) 3 (c) -0.1 c What is the closest to 0 in -1, 0.5, -8/7, -4? 0.5 What is the closest to -2/7 in 67/5, 0.01, -1? 0.01 What is the nearest to 1 in 35, -3, 0.04? 0.04 Which is the nearest to -1? (a) -4 (b) 0.5 (c) -3/92 c Which is the closest to -0.2? (a) 0 (b) -1/4 (c) -11/2 b What is the nearest to -1 in -3/4, -3/5, -0.02? -3/4 What is the closest to 47 in 4.4, -1, 2/7? 4.4 Which is the closest to 2/7? (a) 1 (b) 2 (c) 3/2 (d) 0.3 d Which is the closest to -323? (a) 1/4 (b) -1 (c) -1/3 b Which is the nearest to 0.1? (a) 3/2 (b) -3/4 (c) -0.4 (d) -1 c Which is the closest to -2? (a) 2/9 (b) -4 (c) 0.3 (d) -14 b Which is the nearest to -2/7? (a) -2 (b) -5 (c) 2.1 (d) -13.9 a What is the nearest to 0.1 in 1, 0.4, 2, -0.03? -0.03 Which is the nearest to -0.8? (a) 32 (b) 5 (c) 2 (d) 2/13 d What is the closest to -1/4 in -3, -7/3, -0.3? -0.3 Which is the nearest to 12/13? (a) -4 (b) 6 (c) 3 c What is the closest to -7 in 4, 0, -4, -0.3? -4 What is the nearest to -2/3 in 2/3, 2, -1.131? -1.131 Which is the closest to -0.1? (a) 2/3 (b) -1/3 (c) 3 b Which is the nearest to -12? (a) -0.06 (b) -0.2 (c) 0.1 b What is the nearest to -0.2 in -3/4, 126, 1, 0.4? -3/4 Which is the nearest to -4? (a) 2 (b) 0.2 (c) 0 (d) 4 c What is the nearest to 1/5 in -0.01, -2, 2? -0.01 Which is the closest to -1/4? (a) -32 (b) -7 (c) -2/7 c Which is the nearest to 1/2? (a) -0.5 (b) 2/15 (c) 0 (d) -3 b Which is the nearest to -6? (a) 4 (b) 5 (c) 2/5 (d) -2.4 d What is the nearest to -1 in -5, 1/4, -3/8, 0.5? -3/8 Which is the closest to 1? (a) -1 (b) 1/9 (c) -76 b What is the closest to 4 in 0.2, 9/2, 2, 1/11? 9/2 Which is the closest to 0? (a) 0.3 (b) -2/35 (c) -26 b What is the nearest to 0.1 in -3, -0.4, 0.04, 5.4? 0.04 Which is the nearest to 0? (a) -5 (b) 5/4 (c) 3/7 c Which is the nearest to 1/27? (a) 5 (b) 1/3 (c) -4/7 (d) -1/6 d Which is the nearest to 0.2? (a) -0.1 (b) -0.2 (c) 4/3 (d) 2 a What is the nearest to -2 in -2/7, -4, 2, -4/3? -4/3 What is the closest to 0.01 in 0.3, 2, 0.02? 0.02 What is the nearest to 1/3 in 945, -4, 5? -4 What is the closest to 0.1 in 1, -0.5, -5? -0.5 What is the closest to 1/34 in -3, 2, -1? -1 What is the closest to -2/5 in -0.1, 5/6, 2/19, -22? -0.1 Which is the nearest to 0.3? (a) -8 (b) 2 (c) 4 (d) 2/13 d What is the closest to -2/5 in -54, 0.3, 2? 0.3 Which is the nearest to -56? (a) 5/2 (b) -3/2 (c) 8 b What is the closest to 5 in 1/2, 0, 1, -0.8? 1 What is the closest to 1 in -0.02, 0.3, -12, 1/5? 0.3 Which is the closest to -1/3? (a) 1 (b) 0.04 (c) 4/7 (d) 0 d What is the nearest to -1 in -2, -0.06, 1/11? -0.06 What is the closest to 0.08 in -1, 2/7, 2? 2/7 Which is the nearest to -1? (a) 0 (b) 4 (c) 3628 a Which is the nearest to -13/7? (a) -13 (b) -2/7 (c) -5 b Which is the nearest to -0.1? (a) 3 (b) 1 (c) -2 (d) -1/3 d Which is the nearest to 1/4? (a) -3 (b) 20 (c) 2 c Which is the nearest to 0.3? (a) -3/4 (b) 380 (c) -5 a Which is the nearest to 3/2? (a) -2/3 (b) -0.08 (c) 1/6 c What is the nearest to -1 in -44.3, -6, -2? -2 Which is the nearest to 2/15? (a) -4 (b) 1/5 (c) 3 b Which is the closest to 0.005? (a) 5 (b) -6 (c) -3 (d) -0.2 d Which is the nearest to 6? (a) 3 (b) 0.8 (c) -4 (d) 5 d Which is the closest to 1/3? (a) -39 (b) 3 (c) -0.1 c What is the nearest to 2/5 in 3, -1, 2, 0.4? 0.4 Which is the closest to -1? (a) -3 (b) 3/2 (c) -1 (d) 1/5 c What is the nearest to 0.58 in -0.3, 0.2, 1/3? 1/3 What is the nearest to 0 in -3, 4, -1/68, -2/15? -1/68 What is the closest to -2/107 in -0.5, -2, -11/3? -0.5 What is the nearest to 1 in -86, -0.5, 5? -0.5 Which is the nearest to -0.36? (a) -0.5 (b) 0.1 (c) -5 a Which is the nearest to -0.1? (a) 10 (b) 4 (c) 1/2 (d) 0.11 d What is the closest to -2 in 0.23, -4, 3, 1? -4 Which is the closest to 1? (a) -5 (b) -0.2 (c) -1.4 (d) -2 b What is the closest to 2 in 3, 0.03, -0.2? 3 Which is the nearest to 1.5? (a) -0.2 (b) -1/7 (c) -12 b What is the nearest to -34/37 in 3/7, -3/4, 1? -3/4 What is the nearest to 1/3 in -4, -2/5, 66? -2/5 What is the closest to 0.14 in 1, -2/5, 0.2? 0.2 Which is the closest to -1/3? (a) 1 (b) 0 (c) 0.045 (d) -1/3 d Which is the nearest to 4.69? (a) 2 (b) 0.5 (c) -2 (d) -1 a What is the nearest to 0.1 in -0.4, 0.5, -5/6? 0.5 Which is the nearest to 3? (a) -3.3 (b) -4/3 (c) 2 c What is the closest to 2 in -3, 2, 4, 5? 2 What is the closest to 0.3 in -0.1, 4, 1/6, -2/11? 1/6 Which is the nearest to 0.02? (a) 3 (b) 5 (c) 2 (d) 0.3 d Which is the closest to 0.01? (a) -2/17 (b) 4 (c) 0.05 (d) 5 c What is the closest to 0 in -1/2, 0.1, -3, 1/7? 0.1 What is the nearest to 1 in 5, 2/7, 0? 2/7 Which is the closest to -0.1? (a) 48 (b) -4 (c) 5 (d) 4 b What is the nearest
{ "pile_set_name": "DM Mathematics" }
at is the tens digit of j? 3 Let g = -14 + 29. Suppose -r + 5*r - 2*x = -38, 4*r + x + 35 = 0. Let p = g + r. What is the units digit of p? 6 Suppose -3*v = 3*r + r - 125, 3*r = 3*v + 78. What is the tens digit of r? 2 Suppose -2*g + 0 - 10 = 0. Let w(s) = s**2 + 3*s - 7. Let d be w(g). Suppose -8 - 4 = -d*p. What is the units digit of p? 4 Let t(s) = 5*s**3 + 3*s**2 + 6*s - 5. Let a(o) = 11*o**3 + 5*o**2 + 13*o - 11. Let u(m) = -4*a(m) + 9*t(m). What is the tens digit of u(-6)? 2 Let t(h) = -h + 1. Let n be t(-1). Suppose -3*c + 70 = n*c. What is the tens digit of c? 1 Suppose 3*c - 7*c = -128. What is the tens digit of c? 3 Suppose g - 2*p = 16 + 2, 0 = 4*p. Suppose -27 = -6*o + 3*o. Suppose 4*i - 2*q = g, q - o = -2*q. What is the units digit of i? 6 Let t = 74 + 3. What is the tens digit of t? 7 Let x(h) = h**2 + h - 3. Let o be x(-3). Let q = o - -11. What is the tens digit of q? 1 Let a(f) = -f**2 + 6*f - 4. Let y be a(3). Suppose -2*o + 4 = y*m, o - 4 = -o + 4*m. What is the tens digit of 3*(o + (-21)/(-9))? 1 What is the tens digit of 38/((-2)/7 + (-44)/(-56))? 7 Let v(t) be the first derivative of t**4/4 + t**3 - 5*t**2/2 - 1. Let a be v(-4). Suppose g + s - a + 2 = 0, -5*s = -5. What is the units digit of g? 1 Let t(m) = -m**3 + 6*m**2 - 7*m + 6. Let o(u) = -u**2 - 5*u + 5. Let s be o(-5). Let j be t(s). Let y(f) = -2*f - 3. What is the units digit of y(j)? 5 Let b(g) = -g**3. Let s(r) = 4*r**3 + 6*r**2 + 3*r. Let f(o) = 3*b(o) + s(o). What is the tens digit of f(-5)? 1 What is the units digit of (5/(-3))/(((-10)/285)/2)? 5 Suppose -25 = -5*r - 2*f, 6*r + 3*f - 24 = 3*r. Let y be 1/r - 41/(-3). Suppose 4*w - 6 = y. What is the units digit of w? 5 Let w(q) = q**3 - 4*q**2 - 16*q + 6. What is the units digit of w(7)? 1 Let d = 10 + -7. Suppose -v = -d - 8. What is the tens digit of v? 1 Suppose 0*u - 230 = 5*u. What is the units digit of (-3)/(-6) + u/(-4)? 2 Suppose -2*i + 0*z + z + 34 = 0, 5*z + 10 = 0. What is the tens digit of i? 1 Suppose -414 = -g - 2*g - 3*b, 0 = -2*g + 5*b + 255. What is the units digit of g? 5 Let i(q) = -15*q + 2. What is the units digit of i(-1)? 7 Suppose -3*r + 87 + 2 = 2*m, -3*r + 5*m + 61 = 0. What is the units digit of r? 7 Let g(h) = -h**3 - 3*h**2 - 3*h - 2. Let c be g(-2). Suppose c = x - 6*x. Suppose x = -5*r + 7 + 13. What is the units digit of r? 4 Suppose -i = i - 248. Suppose 5*m = 4*r + 164, 0 = -8*m + 4*m - 4*r + i. What is the units digit of m? 2 Suppose -3*a - 5*n = -656, -4*n + 570 = 4*a - 318. What is the tens digit of a? 2 What is the tens digit of ((-912)/(-72))/((-1)/(18/(-4)))? 5 What is the units digit of 4/(-18) - 280/(-45)? 6 Let z = -361 + 597. What is the tens digit of z? 3 Let s = 3 + -17. Let g = s + 27. What is the units digit of g? 3 Let n be (-2)/(-3) + (-7)/(-3). Suppose -6*h = n*t - 3*h, t - h = 0. Suppose s - 4 - 3 = t. What is the units digit of s? 7 Let d = 140 - -99. What is the hundreds digit of d? 2 What is the units digit of (-680)/(-26) + (-24)/156? 6 Suppose 0*u = 2*i + 3*u, 4*i - 4*u = 0. Suppose i*a - a + 9 = 0. What is the units digit of a? 9 Suppose 0 = -3*m + 31 + 8. Suppose -3 = -4*h + m. Suppose 0 = -r, b + 3*b - 28 = h*r. What is the units digit of b? 7 Let l = -86 - -230. What is the units digit of l? 4 Let o = 5 + 15. Suppose 0 = -2*g + u + o, -u = 4*u. What is the units digit of g? 0 Suppose -c - c - 8 = 0. What is the tens digit of ((-26)/(-4))/(c/(-8))? 1 Let v = -64 + 116. What is the units digit of v? 2 Let l(m) = 3*m**2 + 7*m + 1. Let j(u) = -7*u - 3*u + 4*u - 1 + 0*u**2 - 3*u**2. Let c(p) = -3*j(p) - 2*l(p). What is the units digit of c(-3)? 6 Let a = 1 + 1. Suppose -p + a*p = 37. What is the units digit of p? 7 Suppose -58 = -q - g, 0 = -2*g - 7 + 17. What is the units digit of q? 3 Let k(t) = 0 + 0 - t - 3 - t. Let u be k(-4). Let c = -1 + u. What is the units digit of c? 4 Let x(j) = 4*j - 6. What is the units digit of x(8)? 6 What is the tens digit of (4/(-3) + 2)*135? 9 Let t(l) = -l + 4. Let c be t(-3). Suppose c*o = 2*o - 20, -4*n - o + 4 = 0. Suppose 6 = 4*f + n. What is the units digit of f? 1 Let s(k) = k**3 + 6*k**2 + 2. Let q be s(-6). Suppose -5*f + q*j = -255, j = 3*f + 3*j - 153. Let p = f + -36. What is the units digit of p? 5 Let m = -89 + 186. What is the units digit of m? 7 Let k(h) = -2*h**3 + 2*h**2 - 1. Let l be k(-1). Let p = l - -2. Suppose -p*s + 4*j = -52, 0 = 2*s - 5*s - 4*j + 12. What is the units digit of s? 8 Let z be (-40)/8 - 1*-1. Let f(p) = p**2 + 3*p + 5. What is the units digit of f(z)? 9 Let c(v) = -v**2 + 6*v - 4. Let r(n) = n - 1. Suppose 0 = 4*u - u - 15. Let k be r(u). What is the units digit of c(k)? 4 Let b(q) = -q**3 - 4*q**2 - q - 1. Let r be b(-4). What is the units digit of (-134)/(-8) + r/(-4)? 6 What is the tens digit of (-4)/(-6) + (-746)/(-6) + -2? 2 Let c(i) = i**3 + 2*i**2 - 2*i. Let p be c(-2). Suppose -2*r + 22 = -0*t - p*t, -5*r - t + 110 = 0. What is the units digit of r? 1 Let n be (2 + 0)*(-2)/4. Let z(q) = -4*q. What is the units digit of z(n)? 4 Let t be 2/((-6)/10 - -1). Suppose 3*v + 0 = -6. Let l = t - v. What is the units digit of l? 7 Suppose -2*c + 7 + 3 = 0. Let g(d) = 13*d**2 + 3*d - 3. Let q(y) = 7*y**2 + 2*y - 2. Let h(b) = 6*g(b) - 11*q(b). What is the units digit of h(c)? 9 Let m(k) = k + 5. Let g be (0 - 0/1)/2. What is the units digit of m(g)? 5 Let m(j) = j**2 - 2. Suppose -b + 2 = -1. Let h be m(b). Suppose -3*v = -h*v + 8. What is the units digit of v? 2 Suppose 0*i - 2*i + 10 = 0. Suppose -b = 4*x + 8, 3*b + 4*x - 3*x - 9 = 0. Suppose -4*z = 3*v - 0*v - 14, 0 = i*v + b*z - 18. What is the units digit of v? 2 Suppose 2*o + 2*o = 12. Suppose -3*d + 60 = o. What is the tens digit of d? 1 Let x(o) be the first derivative of o**3/3 + 11*o**2/2 + 6*o + 5. What is the tens digit of x(-12)? 1 Let a(n) = -n + 6. Let k be a(3). Suppose 5*w = -3*v + 23, 0 = -w - 0*v + v + k. Suppose -w*c + 7 + 9 = 0. What is the units digit of c? 4 Let t(x) be the first derivative of x**3/3 + 13*x**2/2 + 18*x - 7. What is the units digit of t(-12)? 6 Let i be (-1)/(-6) + 231/18. Let y = i - 28. Let p = y - -27. What is the tens digit of p? 1 Let w(n) = -3*n - 5. Let f be w(-9). What is the tens digit of 2/(-11) + 554/f? 2 Suppose 3*c - 2*c + 4*k - 26 = 0, -c = 3*k - 22. Let h = -4 + c. Let w(y) = -y**3 + 5*y**2 + 10*y - 7. What is the tens digit of w(h)? 1 Suppose 4*j + 16 = 2*t - 10, 0 = 4*t + 2*j - 2. Suppose 0*s - t = 3*s. Let b = s - -8. What is the units digit of b? 7 Let r = 124 + -69. Let o = -30 + r. What is the units digit of o? 5 Let m(p) = -p**3 - 8*p**2 - p - 3. Let j = 5 + -13. What is the units digit of m(j)? 5 Let o = -19 - -34. What is the units digit of o? 5 What is the tens digit of 80/3 + (-2)/(-6)? 2 Suppose 2*r + r - 2*i - 83 = 0, -110 = -4*r + 3*i. Suppose 0*g = -g - 5*t + r, 5*t + 25 = 5*g. What is the units digit of g? 9 Let r be (2 - 3/1) + 5. What is the tens digit of 111/6 + (-2)/r? 1 What is the units digit of (202 - (2 + 2))*1? 8 Suppose 2*g = 4*u - 14, -3*g = 2*u + 5 + 8. Let s be 6/(u + (-10)/4). Let d(a) = a + 7. What is the units digit of d(s)? 3 Suppose -24*x + 19*x = -915. What is the tens digit of x? 8 Let h = 148 - 79. What is the units digit of h? 9 Suppose 4*d = -d. Suppose d = -2*z + 2*y + 48, 3*z + 3*y = 9 + 87. What is the tens digit of z? 2 Let l = -6 + 66. What is the tens digit of l? 6 Let m be 3 - (58*2)/4. What is the units digit of 2/(-13) + (-914)/m? 5 Let s = -2 + 3. Suppose 2*u - 4*a = 2 + 2, 0 = 4*u + 3*a - 8. Let q = u - s. What is the units digit of q? 1 Suppose -5*a = 3*f + 2 - 3, 0 = 4*f - 3*a - 11. What is the units digit of 12*(f + (-4)/16)? 1 What is the units digit of 3*(-12)/9*1 + 104? 0 Suppose x = -x - 4. Let l = 15 + x. What is the tens digit of l? 1 Let g be -7 + 8 + (-1 - -1). Let k be (-2)/(-1) - (g + -1). Let q = k + -1. What is the units digit of q? 1 Let v be 1 - (-5 + -3 + 2). Suppose 0 = -8*t + v*t + 3. Suppose -10 = -n - t. What is the units digit of n? 7 Let x = 2 + -4. Let h be (-42)/(-54) - x/9. Let i = h + 17. What is the tens digit of i? 1 Let b = 9 - 5. What is the units digit of 18/(-12)*b/(-3)? 2 Suppose -2*q + 3*q - 9 = 0. Let s = q + -3. What is the units digit of s? 6 Suppose 16 + 4 = -4*t. Let g = t - -12. Wha
{ "pile_set_name": "DM Mathematics" }
without replacement from jjxdjddoxjdxdmd. 1/91 Two letters picked without replacement from {m: 6, v: 1, y: 2, b: 2, x: 3, g: 5}. Give prob of sequence mv. 1/57 Calculate prob of sequence ddi when three letters picked without replacement from ypyjdidpipgijy. 1/364 Calculate prob of sequence hh when two letters picked without replacement from hhxgcccghg. 1/15 What is prob of sequence mj when two letters picked without replacement from lpjmwpwjpjjljfwll? 5/272 Four letters picked without replacement from {f: 1, h: 1, j: 1, n: 1, a: 1, g: 2}. What is prob of sequence gahj? 1/420 Four letters picked without replacement from zzzzjjjjzzzzjjjz. What is prob of sequence zjzz? 21/260 Calculate prob of sequence or when two letters picked without replacement from uiotrrw. 1/21 Four letters picked without replacement from {n: 2, m: 2, w: 2, e: 3, r: 1, v: 2}. Give prob of sequence mevr. 1/990 Two letters picked without replacement from {v: 1, t: 1, b: 12}. Give prob of sequence vt. 1/182 Calculate prob of sequence yqqy when four letters picked without replacement from qqyyyqqqqqqqqyqqqq. 91/3060 What is prob of sequence di when two letters picked without replacement from iwiidwfwiwddw? 1/13 Three letters picked without replacement from {x: 2, p: 6, w: 7}. Give prob of sequence ppw. 1/13 Four letters picked without replacement from {h: 1, v: 3, f: 3, k: 2, a: 3, x: 3}. Give prob of sequence hkvx. 1/1820 Calculate prob of sequence vh when two letters picked without replacement from {v: 1, o: 13, h: 1, j: 2}. 1/272 What is prob of sequence shy when three letters picked without replacement from {s: 2, q: 3, y: 4, d: 1, h: 9}? 4/323 Four letters picked without replacement from {t: 1, d: 17}. Give prob of sequence tddd. 1/18 What is prob of sequence yyw when three letters picked without replacement from {y: 7, w: 9}? 9/80 Three letters picked without replacement from {q: 1, a: 1, f: 1, y: 1, v: 1}. Give prob of sequence vfa. 1/60 Three letters picked without replacement from {w: 3, j: 5, t: 4}. What is prob of sequence twt? 3/110 Calculate prob of sequence do when two letters picked without replacement from {e: 3, o: 1, r: 1, d: 2}. 1/21 What is prob of sequence epf when three letters picked without replacement from flefp? 1/30 Four letters picked without replacement from {f: 7, g: 4, h: 1, e: 4, t: 2}. Give prob of sequence ffht. 7/6120 Two letters picked without replacement from {n: 5, o: 7}. Give prob of sequence nn. 5/33 What is prob of sequence dzu when three letters picked without replacement from {z: 1, r: 4, k: 7, d: 2, s: 4, u: 1}? 1/2907 Four letters picked without replacement from htatdqthdd. Give prob of sequence qtad. 1/560 Four letters picked without replacement from {u: 6}. What is prob of sequence uuuu? 1 Four letters picked without replacement from gtgggvtlllvlgtvtlq. What is prob of sequence tqgt? 1/1224 What is prob of sequence dehe when four letters picked without replacement from kemkkmmdmhemkkkmm? 1/28560 What is prob of sequence fh when two letters picked without replacement from {f: 1, v: 10, m: 2, h: 4}? 1/68 What is prob of sequence iq when two letters picked without replacement from uirooooooroqouiss? 1/136 Calculate prob of sequence mmmf when four letters picked without replacement from {v: 6, f: 3, w: 2, m: 6, i: 1}. 1/204 Calculate prob of sequence rzp when three letters picked without replacement from trprzffrtttztpprzt. 1/136 Three letters picked without replacement from qquwqiiqqquuuiqciqqc. Give prob of sequence qiu. 2/95 Calculate prob of sequence tq when two letters picked without replacement from trqtqrqt. 9/56 Two letters picked without replacement from {f: 7}. Give prob of sequence ff. 1 What is prob of sequence ob when two letters picked without replacement from {x: 4, r: 1, b: 2, o: 3, z: 1, v: 4}? 1/35 What is prob of sequence lf when two letters picked without replacement from {m: 2, l: 2, f: 1}? 1/10 What is prob of sequence sqq when three letters picked without replacement from {s: 1, j: 1, p: 4, q: 5}? 2/99 Two letters picked without replacement from {d: 1, m: 4, b: 1, x: 1, t: 2}. What is prob of sequence bx? 1/72 Four letters picked without replacement from {p: 5, l: 5}. What is prob of sequence plpl? 5/63 Three letters picked without replacement from {z: 1, l: 2, c: 2, y: 4, w: 1}. Give prob of sequence zcy. 1/90 What is prob of sequence wd when two letters picked without replacement from dkwddzxkdkxxzddkxdwx? 7/190 What is prob of sequence tkt when three letters picked without replacement from tktkttktktt? 28/165 Calculate prob of sequence cco when three letters picked without replacement from uiuixukuuuoiccc. 1/455 Two letters picked without replacement from zuz. Give prob of sequence zu. 1/3 Two letters picked without replacement from tlaceeu. What is prob of sequence cu? 1/42 Three letters picked without replacement from cbbiiitbbiooiit. Give prob of sequence ito. 4/455 Calculate prob of sequence njjn when four letters picked without replacement from {n: 2, j: 8}. 1/45 Two letters picked without replacement from ralljaajaallrar. Give prob of sequence ra. 3/35 Calculate prob of sequence ufr when three letters picked without replacement from {r: 1, f: 2, w: 3, u: 3, k: 1, g: 1}. 1/165 What is prob of sequence qssq when four letters picked without replacement from {q: 10, s: 9, a: 1}? 18/323 Calculate prob of sequence xx when two letters picked without replacement from xaxxaxxxxxx. 36/55 What is prob of sequence gxuu when four letters picked without replacement from {u: 7, x: 3, g: 9}? 63/5168 Two letters picked without replacement from {e: 1, y: 5, b: 3, h: 9}. What is prob of sequence ye? 5/306 What is prob of sequence fv when two letters picked without replacement from {v: 1, g: 1, m: 4, p: 1, f: 1, s: 5}? 1/156 What is prob of sequence ew when two letters picked without replacement from eeeeweeeweeeewe? 6/35 Calculate prob of sequence ieio when four letters picked without replacement from ooioooooiooooe. 1/1092 Two letters picked without replacement from uqzzt. What is prob of sequence tq? 1/20 What is prob of sequence tc when two letters picked without replacement from {z: 2, c: 7, t: 3}? 7/44 What is prob of sequence xfx when three letters picked without replacement from xfx? 1/3 Calculate prob of sequence ssi when three letters picked without replacement from {f: 4, s: 8, i: 2}. 2/39 Three letters picked without replacement from xwchhcwhwxchwwhwxwh. What is prob of sequence hhh? 20/969 What is prob of sequence gbet when four letters picked without replacement from {s: 1, b: 1, p: 2, e: 4, t: 1, g: 6}? 1/1365 Calculate prob of sequence ss when two letters picked without replacement from gsggsggg. 1/28 Two letters picked without replacement from mgmeegmwmemjk. Give prob of sequence wk. 1/156 What is prob of sequence bb when two letters picked without replacement from yyybbyybyb? 2/15 What is prob of sequence ubbv when four letters picked without replacement from {u: 1, v: 1, b: 9}? 1/110 Two letters picked without replacement from {w: 4, q: 3, k: 2, t: 2}. Give prob of sequence kq. 3/55 Four letters picked without replacement from vvasswwvvsvassvwwva. What is prob of sequence awws? 5/2584 What is prob of sequence qxxq when four letters picked without replacement from qxqxqqqqxq? 1/20 What is prob of sequence vva when three letters picked without replacement from vvavvvvavavvvvvv? 39/280 What is prob of sequence ccd when three letters picked without replacement from dfmcmfccfcm? 2/165 Three letters picked without replacement from bfbbbbbqbq. What is prob of sequence qfb? 7/360 Calculate prob of sequence rrri when four letters picked without replacement from irrirrrirrrrrr. 45/364 Calculate prob of sequence hb when two letters picked without replacement from {k: 2, g: 3, b: 3, h: 10}. 5/51 Four letters picked without replacement from mqqmqqmmqpqmqqmqqq. What is prob of sequence qmmp? 11/2448 What is prob of sequence qq when two letters picked without replacement from {q: 3, m: 2, w: 6, k: 8}? 1/57 Three letters picked without replacement from {g: 15, f: 3}. What is prob of sequence gff? 5/272 Two letters picked without replacement from {p: 1, x: 1, z: 2}. Give prob of sequence xz. 1/6 Four letters picked
{ "pile_set_name": "DM Mathematics" }
0000005 Let s = -169 - -140.6. Let i = -38 - s. Round i to the nearest integer. -10 Let t = 533.844 - 534. What is t rounded to 1 dp? -0.2 Let c = 34.26 + -34.2597481. Round c to 5 decimal places. 0.00025 Let u = 502.778 + -499. Let m = -31.222 - -31.3. Let d = u - m. What is d rounded to the nearest integer? 4 Let n = -1487.22 - 27.78. Let f = n + 1514.94999. Let i = -0.05 - f. What is i rounded to four decimal places? 0 Let s = -3701002924 + 3701002851.00000346. Let x = 73 + s. Round x to 6 decimal places. 0.000003 Let g = -1.0160003539 + 1.016. Round g to 7 dps. -0.0000004 Suppose 11 - 11 = -k. Suppose k = -2*v - 5*p - 57399975, -5*p + 86100025 = -0*v - 3*v. Round v to the nearest one million. -29000000 Let b = 13.45 - 22.82. What is b rounded to 1 dp? -9.4 Let z = -40 + 40.081. Let a = z - -6.719. What is a rounded to 0 decimal places? 7 Let d = -746 - -482. Let z = d + 264.00000211. What is z rounded to 7 decimal places? 0.0000021 Let f(x) = 2*x**2 - 24*x + 27. Let s be f(11). Suppose -3*w = 3*d + 161 - 20, 0 = -3*w - s*d - 149. Round w to the nearest integer. -43 Let a = 257.9883 + 0.0117. Let n = -253.82 + a. Let q = 4 - n. What is q rounded to 1 dp? -0.2 Let n = 2151.999999244 + -2152. Round n to seven dps. -0.0000008 Let z be ((-230)/40 - -6) + 1263998/8. Round z to the nearest ten thousand. 160000 Let j = -206 + 206.524. Let x = -7.59 + 8. Let m = j - x. Round m to 2 decimal places. 0.11 Let z = -12451.5363787 - 0.0936213. Let c = z - -12451.9699852. Let y = c + -0.34. What is y rounded to 6 dps? -0.000015 Let m = -503379.1999928 - -503379. Let k = 0.3 - 0.1. Let h = k + m. What is h rounded to 6 dps? 0.000007 Let p = -146 - -76. Let k = p + 70.0000124. What is k rounded to six decimal places? 0.000012 Let c = 225.95 - 226. What is c rounded to 1 dp? -0.1 Let i = -3640.63 + 3520. Let p = i + 14.33. Let g = p - -111. What is g rounded to the nearest integer? 5 Let g = 6060 + -6008.33. Let m = -52 + g. Let l = -0.33052 - m. What is l rounded to 4 decimal places? -0.0005 Let f(k) = -43601*k**2 + 1. Let q(o) = -8*o + 79. Let j be q(10). Let b be f(j). Round b to the nearest ten thousand. -40000 Let b = -18 + 20. Let x be b + -3 - (247 - 1). Let l = x - -95. What is l rounded to the nearest ten? -150 Let f = -0.0354 + -42.9246. Round f to the nearest 10. -40 Let d = 347.000000606 + -347. Round d to seven decimal places. 0.0000006 Let q = 0.03 + 4.97. Let j = -5.07 + q. Let k = j - -0.0716. Round k to three decimal places. 0.002 Let z = 1727 + -1584.7. Round z to the nearest ten. 140 Let s = 13.6 + -14. Let j = -832.979 - -832.579009. Let h = s - j. What is h rounded to five decimal places? -0.00001 Let s = -0.1437 + -7.9263. Round s to the nearest integer. -8 Let q = -10.7 + 12. Let m = 1.30013 - q. Round m to 5 decimal places. 0.00013 Let t = -0.03 + 27.03. Let n = -276921027.9999998 + 276921055. Let m = t - n. Round m to 7 decimal places. -0.0000002 Let d be ((-21)/(-6)*2)/1. Suppose -4*t + 13 + d = 0. Suppose 4978679 = -t*u - 5471321. Round u to the nearest one hundred thousand. -2100000 Suppose -163*c = -155*c + 30240. What is c rounded to the nearest 100? -3800 Suppose 4*p + 2*n - 76398 = 3*n, 4*p - 76402 = -n. What is p rounded to the nearest 10000? 20000 Let z(r) be the second derivative of r**3/3 - 356*r. Let f(w) = 9*w**2 - 2*w + 1. Let m be f(1). Let g be z(m). Round g to the nearest 10. 20 Let q(g) = 717*g - 40. Let i be q(20). Round i to the nearest ten thousand. 10000 Let y = 36.48 - 32.526. Round y to zero dps. 4 Let y = -0.234 + 1.527. What is y rounded to one dp? 1.3 Let t be (22/33)/((-4)/666). Let s = -134 - t. What is s rounded to the nearest ten? -20 Let o = 973.99427 - 974. What is o rounded to 3 decimal places? -0.006 Let t = -9.837994583 + 9.838. Round t to six decimal places. 0.000005 Let w = -690.03189 - 107.58641. Let v = 723.622 + w. Let s = v + 74. What is s rounded to three decimal places? 0.004 Suppose 5*v - 50 = -0*v. Let f(j) = 3*j**2 - 4*j - 2. Let t be f(v). Suppose -82 - t = -d. What is d rounded to the nearest 100? 300 Let p = 52.700001329 - 52.7. What is p rounded to seven dps? 0.0000013 Suppose m - f + 786005 = 0, -4*m - 4*f - 4833425 + 1689445 = 0. What is m rounded to the nearest 10000? -790000 Let c = 52 + -52.46. Let d = c + 0.4599882. Round d to six decimal places. -0.000012 Let d be (-12772)/4*(-81000)/27. What is d rounded to the nearest one million? 10000000 Let f = 21 - 20. Let l be (-1 + -1 - -2)/f. Suppose l = -z - 106 + 20. What is z rounded to the nearest 10? -90 Let d = 3033.253 - 3032. Round d to 1 dp. 1.3 Let c = 1335.3334 - 1335. What is c rounded to 2 decimal places? 0.33 Let d = 8.14 - 122.04. What is d rounded to the nearest ten? -110 Let g = -377.24611 + 276.246027. Let h = -101 - g. What is h rounded to five dps? 0.00008 Let x = -0.16707 - -0.1655633. What is x rounded to 5 decimal places? -0.00151 Let g = -206.903 + 207. Let j = g - 0.0969933. Round j to six dps. 0.000007 Let x = -6.28 + 0.48. Let m = -3 - x. Let w = -2.799996 + m. What is w rounded to six decimal places? 0.000004 Let s be (-59817)/(-9) + (-2)/(-3). Let c be -6 + 4 - s*34 - 0. Round c to the nearest 10000. -230000 Let g = 11477443255.00000067 - 11477443359. Let h = g + 104. Round h to seven dps. 0.0000007 Let s = 46343220 - 46343169.000069. Let u = s - 51. Round u to five dps. -0.00007 Let l = -8.44 + 9. Let v = l + -0.712. Round v to 2 decimal places. -0.15 Suppose -17*t + 14*t - 508992 = 0. Let y = -15336 + t. Round y to the nearest ten thousand. -190000 Let k(c) = -5*c - 1421924. Let w be k(0). Let f = 2216924 + w. What is f rounded to the nearest one hundred thousand? 800000 Let l = -1.57 + 1.338. What is l rounded to one decimal place? -0.2 Let r = -210.00000626 - -210. Round r to 7 dps. -0.0000063 Suppose 5*c = -h - 21, 4 = -3*h - 4*c - 4. Let d be -4 + h + 4 - 100004. What is d rounded to the nearest one hundred thousand? -100000 Let v = -97 + 98.69. Let a = v + -1.6900146. What is a rounded to 6 dps? -0.000015 Let c(o) = -6400*o**2. Suppose -5*b + b = -4*g + 16, 24 = 4*g + 4*b. Let v be c(g). Round v to the nearest 10000. -160000 Let z = 0.39529 - 0.422. Round z to 3 decimal places. -0.027 Let m = -387.00714 - -387. What is m rounded to 3 decimal places? -0.007 Let x = -204 + 204.0184. Round x to two decimal places. 0.02 Let n = 86.0000002628 + -86. Round n to seven decimal places. 0.0000003 Let o = 49.231 + -0.271. Round o to zero dps. 49 Suppose 2*l - 2*f = 3*f - 16, l + 2*f = 10. Suppose l*r - 3495249 = 213067. Let c = r - 804158. Round c to the nearest 100000. 1100000 Let t = -1.76 + 17.36. Let s = t - 2.6. Let z = s - 8.7. What is z rounded to the nearest integer? 4 Let p = -0.476 - 231.524. Let d = p - -231.434. What is d rounded to two decimal places? -0.57 Let c be 976/(-56) + 18 + 1019760004/(-7). What is c rounded to the nearest one million? -146000000 Let p = -71.16 + 0.16. Let l = 73.5 + p. What is l rounded to 0 dps? 3 Let n(l) = 31018*l**2 - 10. Let w be n(-9). Let g = -1632448 + w. Round g to the nearest 100000. 900000 Let a be (7877568/(-36) + -12)/((-2)/(-12)). What is a rounded to the nearest ten thousand? -1310000 Let h = 457.9622 + -458. What is h rounded to 2 decimal places? -0.04 Let m = -0.0228 + 0.02279141. Round m to six decimal places. -0.000009 Let w = -53.005 + 53. Let n = -0.016 - w. What is n rounded to two dps? -0.01 Let t = -5818.3377 + 5818. Let a = t + 40.8277. Let j = a + -41. Round j to one decimal place. -0.5 Let x = 8 - 13. Let z be 5*(-2)/x*1. Let k be z/2 + 1 + -59002. What is k rounded to the nearest 10000? -60000 Let i(g) = -184613*g - 13. Let y be i(-1). Round y to the nearest ten thousand. 180000 Let x = -428.626856 - -387.62675. Let v = -51.1 + 10.1. Let n = v - x. Round n to 5 decimal places. 0.00011 Suppose -4*j + 0*i = i - 50723, 5*j + 2*i - 63406 = 0. Suppose 5*d - j = -5*g + 6*g, -d = -4*g - 50796. Round g to the nearest one thousand. -13000 Let v = 73683.100054 + -73683. Let y = 0.1 - v. Round y to 5 dps. -0.00005 Let h be (-6 - -2) + 15 + 9992989. What is h rounded to the nearest one million? 10000000 Let d = -27114.927 - -27055. Let t = d - -60. Let a = t + -14.673. What is a rounded to zero decimal places? -15 Suppose 2*l + q - 5 = 0, -l + q - 2
{ "pile_set_name": "DM Mathematics" }
(-10))*-2? -1 Evaluate (12/(-9))/(4/9). -3 What is 1*2/(-3)*21/(-14)? 1 Evaluate (-4)/110*1*30/(-6). 2/11 Calculate (1206/2211)/((-30)/(-44)). 4/5 What is the value of (42/(-168))/(3/((-9)/(-2)))? -3/8 (12/9)/(2/(-6)) -4 What is 9/((-243)/18)*60/5? -8 What is the value of 21/(-3)*12/120*10? -7 Calculate (21/(-7))/((-3)/(-4)). -4 ((-1)/4)/((14/16)/1) -2/7 (((-56)/(-35))/1)/((-4)/(-10)) 4 9/(-6)*(-6)/9 1 (-28)/98*(-1)/(-2) -1/7 What is the value of (-4)/(-2)*2*33/44? 3 Evaluate (25/(-6))/(-5)*300/375. 2/3 Evaluate (-4)/(-3)*9/18*-3. -2 What is the value of -1*((-560)/10)/7? 8 20/(-16)*(-168)/35 6 Calculate ((-18)/(-3))/(45/15). 2 13/(390/9)*(-8)/(-6) 2/5 (-4)/2*(-22)/(-11)*-1 4 (((-6)/(-2))/(-15))/((-108)/90) 1/6 What is the value of (24/21)/(((-162)/(-7))/9)? 4/9 Evaluate ((-4)/(-6))/(10/(-3)). -1/5 What is the value of 2/1*(-3)/(-2)? 3 What is the value of (120/50)/((-90)/(-75))? 2 Evaluate 5*21/(-70)*(-32)/(-6). -8 (-1)/((-1)/((-6)/(-12))) 1/2 14/(-20)*40/(-140)*1 1/5 Calculate (-1)/(-15)*-3*-1. 1/5 Evaluate (-2)/(-4)*-1*24/12. -1 Calculate ((5/(-18))/5)/(1/(-3)). 1/6 ((-12)/4)/(-117)*(-72)/(-24) 1/13 12/18*6/(-2) -2 What is the value of (-6)/4*1/105*-7? 1/10 What is the value of ((8/3)/4)/((-10)/(-30))? 2 (12/14)/(2/(-7)) -3 Calculate (-40)/(-35)*(25/(-5))/10. -4/7 What is 5/(-15)*12/(-14)? 2/7 Calculate 3/((-75)/5*(-11)/(-44)). -4/5 What is (-20*5/(-60))/5? 1/3 ((140/8)/7)/((-6)/12) -5 What is the value of 6*25/270*9? 5 What is 1*-3*(21/(-3))/(-35)? -3/5 What is (7*2/(-28))/((-2)/8)? 2 What is (-560)/960*4/14? -1/6 What is the value of (((-70)/45)/7)/((-2)/9)? 1 What is the value of -2*(4/(-40)*-5)/(-2)? 1/2 Evaluate 3/(18/(-4))*12/2. -4 What is 2*(-12)/16*-2? 3 What is ((-2)/2)/(9/(-126)*-133)? -2/19 20/(-90)*1*3 -2/3 Evaluate 18/(6/1)*(-1)/1. -3 What is the value of -15*24/800*(-4)/6? 3/10 Evaluate ((-3)/12)/((10/(-8))/5). 1 What is 117/65*1/9? 1/5 What is the value of 1/1*(-9)/6*2? -3 What is the value of 6/(-75)*70/(-28)? 1/5 What is the value of (16/(-40))/(((-48)/(-20))/3)? -1/2 Calculate (24/160)/(8/(-20)). -3/8 What is the value of (-2)/8*-3*(-288)/(-54)? 4 Evaluate 30/(-234)*(-36)/30. 2/13 Calculate ((-1)/(-2))/((-19)/4). -2/19 (-4)/2*37/74 -1 Calculate ((130/(-10))/(-13))/(1/(-4)). -4 What is (2/14)/(24/(-48))? -2/7 Calculate 1575/(-875)*10/2. -9 What is 3/(-4)*(-6)/9? 1/2 What is ((-2)/((-3)/3))/((-25)/15)? -6/5 What is the value of 2/(6/2*2)? 1/3 Calculate (4/(-10))/(((-28)/7)/(-40)). -4 What is the value of (-12)/(4/2*-1)? 6 (((-1176)/(-105))/(-28))/(2/20) -4 (80/(-28))/(-5)*4/(-8) -2/7 What is ((-4)/(-4))/((24/2)/(-4))? -1/3 Evaluate 8/(-2)*(-96)/(-64). -6 Evaluate ((-3)/(-2))/(4/(-40)*-3). 5 What is the value of (-4)/(-330)*10*3/(-2)? -2/11 What is (0/(7/(21/6)))/3? 0 What is the value of (0/(-4))/((-10)/((-50)/10))? 0 540/(-504)*4/(48/(-14)) 5/4 What is (-340)/(-408)*-4*1/15? -2/9 (489/(-815))/(6/(-20)) 2 Evaluate (4/(16/(-6)))/((-12)/8). 1 What is (18/(-17))/(-3)*5/15? 2/17 (-5)/(-1*30)*1 1/6 What is (44/110)/((-1)/(-15)*-1)? -6 Calculate (-3)/(-18)*3/(-3)*4. -2/3 What is the value of 8/2*((-25)/70)/(-5)? 2/7 What is (24/15)/(4/(-10))? -4 What is ((-3)/(-14))/(9/(-24))? -4/7 (-13)/((-13)/1)*2/2 1 Evaluate ((-8)/7)/((-58)/(-406)). -8 (-39)/(-429)*(-22)/(-6) 1/3 Evaluate (-1*1/(-3))/((-1)/(-3)). 1 (-6)/4*(-3712)/(-696) -8 What is the value of (4*21/70)/2? 3/5 Evaluate (16/(-2))/(28/(-154)*-11). -4 What is 10/4*-2*2/20? -1/2 Calculate (-6)/(3*21/6). -4/7 Evaluate (5/1)/((-16)/(-4)). 5/4 Calculate ((-1)/5)/(5/((-50)/(-8))). -1/4 ((-2)/(-6))/((-440)/1584) -6/5 Calculate ((-72)/(-45))/(4/(-10)). -4 What is (-2)/(5/(-15)*15)? 2/5 What is the value of (1/2)/(25/(-450))? -9 ((-6)/(-147)*42)/(4/(-2)) -6/7 Evaluate (-66)/(-66)*12/3. 4 What is the value of 3/14*280/120? 1/2 Evaluate (-5)/((-180)/8)*(-12)/(-8). 1/3 What is ((0/(-3))/(-7))/(-4)? 0 4/(-16)*6*6/9 -1 (5*(-5)/(-100))/(3/(-10)) -5/6 Calculate 1*(4/(-8))/(3/6). -1 What is (999/(-30))/(-37)*(-5)/(-3)? 3/2 What is the value of (-64)/128*2*1*0? 0 What is the value of 5*(-24)/(-80)*-2? -3 Evaluate ((-10)/(-5)*-1)/13. -2/13 -3*(-1)/(3/(-2)) -2 Calculate (-1152)/(-96)*1/2. 6 What is the value of 10/(-40)*-14*(-4)/(-7)? 2 What is 1*(-12)/8*4/(-66)? 1/11 What is the value of (-3)/(-3)*(-15)/(-5)? 3 Calculate ((-112)/(-84))/(3*4/(-54)). -6 81/(-18)*6/9 -3 (-3)/(-9)*((-96)/52)/4 -2/13 Calculate (-4*1/(-21))/((-234)/273). -2/9 1*(-3)/(-9)*0 0 What is the value of (0*(-4)/(-16))/1? 0 What is the value of (23/161)/(((-2)/(-7))/1)? 1/2 (-8)/(-60)*-2*15/(-6) 2/3 342/(-380)*6/9 -3/5 Evaluate 0/((-24)/(-16)*(-8)/(-6)). 0 (-8)/(-39)*138/(-184) -2/13 Evaluate ((-4)/(-2)*(-2)/28)/1. -1/7 Calculate ((-66)/77)/((-6)/(-28)). -4 What is the value of -3*(-4)/24*-2? -1 What is the value of (40/50)/((-6)/15)*1? -2 (5/2)/((-30)/36*-2) 3/2 Evaluate (3/36)/((-1)/(-3)). 1/4 Evaluate (48/6)/16*2. 1 Evaluate ((-6)/(-14))/((-4)/8*2). -3/7 Calculate (280/(-210))/((-4)/(-9)). -3 Evaluate (((-52)/(-30))/(-13))/(9/(-15)). 2/9 Calculate 7/((-2464)/24)*-8. 6/11 (-14)/(-4)*(-7)/(-196)*2 1/4 (-3)/(18/(-15))*24/30 2 Calculate ((-1)/33)/(5/(-15)*-1). -1/11 What is ((-2)/1)/((-16)/(-16))? -2 (-9)/6*((-90)/27)/10 1/2 What is the value of 22/(-363)*3*1? -2/11 What is the value of (7*(-4)/(-84))/(38/12)? 2/19 (((-33)/(-6))/(-11))/(3/(-2)) 1/3 Calculate 4/(-10)*295/(-177). 2/3 Evaluate 5/(-2)*((-1080)/(-50))/(-9). 6 What is the value of (-3)/2*-2*(-20)/12? -5 Evaluate 3/(-7)*2*2/4. -3/7 2/9*-1*(-15)/(-5) -2/3 What is (-54)/315*-7*5/15? 2/5 Evaluate ((-8)/(-3))/((-2)/(-3)). 4 What is (-22)/308*((-8)/1)/2? 2/7 ((20/25)/((-1)/5))/(-34) 2/17 Evaluate (2/(-6))/((-4)/48*2). 2 Calculate (-6*6/(-24))/((-6)/(-4)). 1 Calculate 1/((-84)/18*1/(-2)). 3/7 What is the value of (-40)/50*2/(4/5)? -2 Calculate 6/(((-5)/15)/(1/6)). -3 Evaluate (2/4*-3)/((-4)/(-1)). -3/8 Evaluate (1*-3)/((-2058)/196). 2/7 Evaluate 6*10/120*-2*1. -1 Calculate ((-2)/1)/(57/3). -2/19 Calculate 2/(-16)*4/2*-3. 3/4 ((-37)/(-1221))/((-3)/18) -2/11 Calculate (-3*(-5)/(-45))/((-1)/(-9)). -3 ((-115)/(-391))/(5/85) 5 Evaluate (6/(-3))/(3/((-15)/20)). 1/2 What is the value of ((-4)/90)/(((-6)/(-2))/(-15))? 2/9 Calculate -3*((-2)/(-1*30))/(-1). 1/5 Evaluate 5/(-1)*188/4230. -2/9 (34/(-765))/(1/5) -2/9 Evaluate 10*(14/4)/7. 5 What is (3/(-3))/(17/34)? -2 What is (-26)/(-39)*36/30? 4/5 -4*8*1/112 -2/7 Calculate (-8)/(-26)*(9/6)/(-3). -2/13 What is the value of (52/(-39))/((-1)/(3/2))? 2 Evaluate 6/(-36)*18*(-2)/(-4). -3/2 What is ((-7)/(-2))/(106/(-53))? -7/4 What is the value of (-3*2/96)/(2/(-4))? 1/8 Calculate (-6)/2*2*1/(-21). 2/7 Calculate 4*(-2)/((-16)/10). 5 ((25/(-5))/(-25))/((-2)/(-8)) 4/5 85/(-17)*(3/4)/(-3) 5/4 Calculate (8/14*7)/((-10)/5). -2 Calculate ((-3)/2*2)/(12/(-8)). 2 What is 4/4*(-13)/52? -1/4 ((-4)/2)/(((-64)/(-20))/8) -5 What is the value of (1/(-2))/((-21)/210)? 5 Calculate ((-6)/1)/12*1. -1/2 Calculate ((-10)/5)/6*3. -1 ((-6)/(-5))/(6/(-20)) -4 ((-14)/6)/(16/(864/(-21))) 6 Evaluate (3*25/15)/1. 5 Calculate (48/(-6))/(18/(-3)). 4/3 -6*5/((-45)/(-6)) -4 Evaluate (15/(-4))/(45/72). -6 What is ((-8)/32*4*2)/(-2)? 1 What is (4/3)/((66/(-9))/(-1))? 2/11 What is the value of ((-46)/(-115))/((-6)/(-105))? 7 What is ((-38)/19)/((-14)/3)? 3/7 What is the value of (5/(-15))/(-3*(-3)/27)? -1 (-1)/(2/3)*290/87 -5 What is ((-24)/32)/(6/56)? -7 What is the value of 28/21*(-4)/(-8)? 2/3 (-8)/(-10)*(50/(-20))/(-1) 2 6*5/(15/1) 2 What is the value of 10/12*(-6)/(-1)? 5 What is the value of (19/(-19))/(1*(-3)/15)? 5 What is ((-3)/(-2))/(6/(-20))? -5 Calculate (11/(-66))/((-3)/126). 7 Evaluate 2*-5*(-58)/(-116). -5 What is the value of (10/(-12)*-3)/1? 5/2 ((8/(-12))/2)/(1/3) -1 Evaluate ((-6)/30)/((-1)/(-3)). -3/5 Evaluate ((-147)/140)/(-21)*(-30)/4. -3/8 What is the value of ((-267)/(-890))/(36/(-10))? -1/12 What is the value of (8/64)/(7/(-21))? -3/8 Evaluate ((-80)/24)/(15/18). -4 Evaluate (-9)/(-15)*1*(-15)/(-9). 1 (1/14)/(8/(-16)) -1/7 What is -20*4/(-32)*2? 5 Evaluate (4/5)/(24/(-120)). -4 What is the value of (-5)/(-25)*10*(-3)/3? -2 Calculate 224/144*(-4)/14. -4/9 What is the value of (1/3)/((-115)/(-230))? 2/3 What is (100/(-150))/((-2)/(-15))? -5 Evaluate (-92)/(-46)*(-4)/(-52). 2/13 Calculate ((-54)/9*-1)/((-3)/(-4)). 8 What is the value of ((-208)/260)
{ "pile_set_name": "DM Mathematics" }
*x - 9, a + 4 = 0 for x. 5 Suppose 2*v = 2*d + 2*d + 22, 27 = v + 2*d. Suppose 0 = -3*t - b - 1, -v*b = -t - 17*b + 2. Solve t*m + m = -2*l + 7, 5*m = -5*l + 20 for m. 1 Suppose 0 = -2*v + 6, -3*f - 4*v + 71 = 17. Let w be (-256)/(-14) + f/(-49). Let p be 0/3 + 17 + -17. Solve p = o + 5*j + w, -2*o = -2*j + 4*j + 12 for o. -3 Let f(g) = 36*g**2 + 58 - 84*g + 38*g + 43*g - 2*g**3. Let v be f(18). Solve -v = -3*l + 5*j - 5, -3*l - 10 = 4*j for l. -2 Let v = 54 + -54. Suppose -10*l + 12*l - h = 0, -h = v. Suppose 5*y + l*g - 13 = 3*g, -18 = -2*y - 2*g. Solve y*p = 4*u - 2, -5*p + 1 = -3*u - 0 for p. 2 Let m be ((0 + 0)/1)/(-1). Let a be (5/(-1))/((-20955)/381)*22. Solve m = -a*j + 8, -5*j = c - 2 - 20 for c. 2 Suppose 3*c - 1 = -4*h - 17, 2*c - 4 = h. Suppose -w = -5 - c. Solve -5*g = -2*l + 14, w*g + 0*g = -l - 23 for g. -4 Let g be (66/22)/((-3)/(-5)). Solve 3*q + 8*x = 6*x + 7, -3*x + 10 = g*q for q. -1 Let j = 3 + -11. Let q = j + 15. Suppose -q - 2 = -3*d. Solve 0 = v + 4*w - 17, -d*v - w = 3*w - 27 for v. 5 Let n(x) = 2*x + 9. Let s be n(-2). Suppose 17 = -s*v + 47. Solve 3*h + 0 = -f - v, f = -5*h - 8 for h. -1 Let q be (18 - (31 + -14))*0. Solve -4*x + 0*x - 4*k = 0, q = -5*x + 2*k for x. 0 Let a = 39 - 23. Suppose a - 2 = 7*y. Solve 0 = 2*t - t + 5*o + 22, 0 = -y*t - 3*o - 16 for t. -2 Let c(f) = f - 8. Let s(k) = -1. Let d(n) = -5*c(n) + 20*s(n). Let a be d(8). Let u = a - -25. Solve -2*r + 17 = u*b, 0 = -2*b + 7*b - r - 14 for b. 3 Suppose -2*v + 5*g = -34, -14 = -4*v + 4*g + 18. Solve 0 = -v*a - 5*k + 5, -4*a = 2*k - 0*k - 2 for a. 0 Let d = -90 + 93. Suppose 0 = -d*v + 4*v + 4*m + 12, 15 = -5*m. Suppose -8 = -k - 0*z + z, -4*k + 36 = -5*z. Solve -5 = t + 5*f - v*f, -k*t - 4*f = -12 for t. 5 Let r = -804 + 810. Suppose -r*w + 315 - 243 = 0. Solve 2*t + 3 = -3*s - w, 2*t + 6 = 0 for s. -3 Let d(l) = 707*l + 2837. Let c be d(-4). Solve -c*h + 7*h = -4*b + 8, -36 = -4*b - 5*h for b. 4 Suppose 3*k + 3*k - 624 = 0. Suppose -4*z - 3*u = -k, -5*z + 3*u + 78 = -52. Let p be (-10)/(-25) + z/10. Solve 4*a + 16 = -5*o, -a + 0*a - p*o = 4 for a. -4 Let s(t) = 32*t**2 + 7*t - 1. Let j(l) = 18*l - 379. Let u be j(21). Let x be s(u). Solve -h - 1 = 4*k - 2, -4*k = -4*h + x for k. -1 Let j be (-50)/(-18) - (8/(-198) + 74/(-407)). Solve -4*h - 29 + 10 = j*u, 4*u + 16 = 4*h for h. -1 Let i(x) = -3*x**2 - 12*x + 41. Let k be i(-6). Suppose -3*l = -2*l. Let c(g) = g**2 + 5*g - 2. Let y be c(-6). Solve k*u + y*n + 8 + 20 = l, 2 = u - 3*n for u. -4 Let l(g) = 5*g**2 + 12*g - 6. Let j be l(-3). Solve 33*v - w = 30*v + 4, 16 = 5*v + j*w for v. 2 Let x be -4*(-3)/54 + (-1664)/36. Let o be 3 + x/12 + (-315)/(-54). Solve -v + f + 4*f = o, 3 = 3*v + 3*f for v. 0 Let j(n) = -13*n**2 - 2*n + 31. Let q be j(5). Let z = q - -324. Solve -3*p + 3*w = p + 15, 5*p - z = -4*w for p. 0 Let o be (-64)/40*105/(-28). Solve -3*w + 18 = 3*d, 2 = -2*w + o for d. 4 Let q(u) = 5*u**2 - 16*u - 40. Let b(l) = -7*l**2 + 15*l + 40. Let i(x) = -3*b(x) - 4*q(x). Let m be i(-17). Solve -2*f + m = -3*d - 9, 4*d = -2*f - 20 for d. -5 Let u = -1402 + 1411. Solve 3*k - 8 = 2*p, -2*p - u*k + 13*k = 12 for p. 2 Let g = -82 - -106. Suppose -2 - g = -13*i. Solve i*l = -y - 7, -2*y + 3 = 13 for l. -1 Let x = 47 - 48. Let y(c) = 2*c**2. Let w be y(x). Solve -3*i + 8*i - t = 5, -t + w = 2*i for i. 1 Let j = -1345 + 1358. Solve -2*u = f - 2, -j*u + 2 = f - 8*u for f. 2 Suppose 2*w - 4*x + 96 = 0, -4*x + 172 = -5*w + w. Let j = w - -44. Let n be j + (1 - 3) + -3. Solve -n + 5 = -4*i, 3*i = 2*y + 1 for y. -2 Let q = -55 + 31. Let f be (-1)/1*q/(-2). Let u be (f/(-48))/(2/16). Solve 5*v = -4*s - 17, -2*v = u*v - 2*s - 2 for v. -1 Suppose -1143 = -39*b + 36*b. Let a = b + -377. Solve 11 = 4*i + a*q - 1, 5*i - 3 = q for i. 1 Let o = 4 - 1. Suppose h - 37 = 2*a, 30*h - 59 = 28*h - a. Suppose -h*f + 81*f = 300. Solve n - j - 4*j = 22, -3*n + o*j = -f for n. -3 Suppose 1118*h + 80 = 1138*h. Solve 5*r + 7 + 8 = h*l, 5*r = -l + 10 for r. 1 Let w(i) = -i**3 - 3*i**2 - 2*i. Let d be w(-2). Let m be 20/5 - (-6 - (-5 - -1)). Solve d = -s - 2*j - m, -s - 3*j = -6*s - 17 for s. -4 Let n(m) = -13*m**2 + 112*m - 144. Let c be n(7). Solve -c*s - 5 = -l, 0 = 24*l - 20*l - 3*s + 7 for l. -4 Let g = -576 + 951. Let r = g + -371. Solve 0 = -2*d - 4*v + 20, 5*d - r*v = 3*d - 12 for d. 2 Let l(m) = -m**3 - 12*m**2 + m + 25. Let d be l(-12). Suppose 26 = 5*s - o, -25*o + 27*o - d = -3*s. Solve -2*g - s*y + 21 = -0*y, 3*g = 4*y - 26 for g. -2 Let r(f) = f**2 + 25*f - 112. Let k be r(-29). Suppose k - 60 = -8*a. Solve -5*v + i = -25, -4*i + 2 - a = -v for v. 5 Suppose -5*q - 230 = -5*p, q - 13 = 5*p - 51. Let z = 4 - -69. Let v = z + q. Solve 3*f - 8*t - v = -3*t, t + 17 = 3*f for f. 5 Let z = 11475 + -11470. Solve -4*m - 4 = i - 9, 0 = -3*m + z*i - 2 for m. 1 Let t(c) = 11*c + 6. Let d be t(15). Suppose -p - d + 175 = 0. Solve p*k + 3*v - 2*v = -18, 4 = -2*k + 2*v for k. -4 Suppose 22*p + 3 + 15 = 31*p. Solve -2*l = -8*f + 5*f - p, 0 = 5*f + l + 25 for f. -4 Let l(z) = 57*z + z**2 - 45*z + 79 - 28*z. Let u be l(8). Solve -3*w - 2*i + u = 0, w + 3*i - 10 = -w for w. 5 Let r be -9*(-5)/(-15) + -3 + 55. Suppose -11*u + r*u = 0. Solve 4 = 4*g, -2*g + u*g - 6 = -4*o for o. 2 Let s = -31 + 34. Suppose 375 = v + 372. Solve v*g + 12 - 3 = s*k, 5*g - 3 = -k for k. 3 Let k(n) = -6*n + 6. Let q be k(-9). Suppose 0 = 61*z - q*z. Solve 3*d + 2*y = -10, -5*y = -z*d + 3*d + 16 for d. -2 Let a = -3864 - -3868. Solve -a*r + 36 = 2*x + 2*x, 0 = 5*x + 2*r - 30 for x. 4 Suppose r + 5*n + 8 = 5*r, 0 = n. Solve r*m = x + 3, 7*x - 9 = m + 10*x for m. 0 Let b = 1031 - 1028. Solve b*c = 0, -200*c + 2 = 2*x - 197*c for x. 1 Suppose 10*p + 61*p - 426 = 0. Solve -4*c + 3*c - 5*i = p, -5*c - 3*i - 8 = 0 for c. -1 Suppose -4 = 7*a - 3*a, -4*g - 5*a - 245 = 0. Let n = 63 + g. Suppose 0 = 2*h - 13 + n. Solve 0 = 3*y + 2*z - h, y - 4 = -y - z for y. 3 Suppose 0 = 71*i - 72*i + 70. Let m be 1815/(-27) + 4/18. Let c = i + m. Solve -4*h - f = 7, 0*h = c*h - 4*f + 29 for h. -3 Let a(o) = -o**3 + 13*o**2 - 5*o - 27. Let l be a(13). Let n be (-142)/(-46) + 8/l. Solve 4*w - 2*j = -2, -2*w + 9 + 2 = n*j for w. 1 Let q = -337 + 181. Let m be (-2994)/26 + (-24)/q. Let b = m + 127. Solve -5*h + 5*a + 8 = -b, 2*h - 3*a - 12 = 0 for h. 0 Suppose 783 = -184*x + 187*x. Let a = -258 + x. Solve -a*m - 4*b - 11 = -27, 18 = 4*m + 2*b for m. 4 Suppose 4*k = -2*n + 96, 160*n = 161*n - 4*k - 54. Solve 5*i = 5*x - n, 3*i = -8*x + 5*x for x. 5 Suppose 0 = -4*u + v - 351, -4*u + 2*v = -u + 262. Let h be (u/(-16) + 0)*(2 - 0). Suppose -h = -7*q + 17. Solve c - 17 = 4*a, 2*c - 23 = q*a + 3*c for a. -5 Let c = 5595 + -5587. Solve -2 = -2*z - 2*v, 0 = 11*z - c*z - 5*v + 37 for z. -4 Let i = 25 - 23. Let m be (i - -54)/7 - (3 - 1). Solve 4*h + m = -3*o - 16, 0 = 4*o + 8 for h. -4 Let k be 62472/20520 + 2/(-45). Let x(i) = i**3 + 9*i**2 + 8*i + 2. Let l be x(-8). Solve k*a = l*j + 10, 5*j + 16 = a - 9 for j. -5 Suppose 76 = -9*a + 22*a + 11. Solve 7*r - 3*r + 6 = x, a*r + 6 = 2*x for x. -2 Suppose -3*d = 5*v - 20, 5*v + 4*d = 4*v + 4. Let b(n) = -n**2 - 13*n - 9. Let w be b(-12). Solve -3*f - 2*f - 19 = 2*x, -v*f - 11 = w*x for x. 3 Suppose 20 = -5*c - q + 29, 5*c + 4*q - 6 = 0. Solve 32 = 4*o - 4*k, 2*o + c*k = k + 7 for o. 5 Suppose s - 96 = 7*s. Let f = -13 - s. Let q be 1*15/5*2/f. Solve -2 = q*p - 4*b, -3*p - 2*b - 10 = -b for p. -3 Let y(k) = 18*k**2 - 1261*k + 183. Let q be y(70). Solve 5*d - 5*t = -10, -q = -3*d + t - 115 for d. 0 Suppose -5*k = 3*n + 39 - 68, -5*k - 2*n + 26 = 0. Let o be 87/15 + (-12)/15. Solve 10 = o*z - 4*r, 4*r + 2 = 5*z - k*z for z. 2 Let s(w) = 5*w - 1. Let d be s(1). Suppose m = d*r + 4, -r - 16 = -4*m + r. Let h = 1025 + -1025. Solve -17 = -2*l - 4*u + 1, h = m*l - u for l. 1 Suppose -x + 4 = -0*x. Solve -4 = -4*m + n, 8*m - 3*m - x*n = 5 for m. 1 Suppose 27*f = -34*f - 13*f + 296. Solve -2*j = 3*i + 6, -2*j + 5*j = f*i - 9 for i. 0 Suppose -3*b + 5*v - 340 = 2*b, -5*b - 330 = 5*v. Let g = -55 - b. Let x = g - 12. Solve x = 4*r - h - 18, r - 2*r = -3*h - 10 for r. 4 Suppose -5*i - 3*o + 11 - 75 = 0, -5*o - 4 = i. Let k be 4/3*3*i/(-28). Solve 0*z - 2*z = k*j + 10, 5*z + 16 = -2*j for j. -3 Let l(v) = -v**2 - 14*v - 41. Suppose 0 = -13*y + 776 - 841.
{ "pile_set_name": "DM Mathematics" }
n = -0*n - 16. Calculate the lowest common multiple of s and 16. 16 What is the least common multiple of 8 and (5*-1)/(17/(-68))? 40 Find the common denominator of 550/(-63) + (-2)/(-7) and 40/11. 99 Suppose -4*s = -8*s + 12. Let m = s + -1. What is the smallest common multiple of 3 and m? 6 What is the common denominator of -55/7 and (24/(-14))/((-9 - 0) + 7)? 7 Let c be -3*((-124)/(-3))/4. Let n = -15 - c. What is the least common multiple of n and -9*(-2)/(-6)*-2? 48 Suppose -2*z - 2*b - 44 = 0, 0 = -3*z - 4*b + 13 - 82. Let t = 7 + z. Find the common denominator of (-258)/t*2/11 and -71/3. 33 Let d be 1/(-2)*2 + 58. Suppose -3*t = -15 - d. Calculate the least common multiple of t and 2. 24 What is the common denominator of -47/3 and ((-69)/(-368))/(18/(-152))? 12 Let h = 265/8 - 525/8. Calculate the common denominator of h and 85/4. 4 Suppose -6*f + 5*f + 3*i + 23 = 0, -f = -2*i - 18. What is the lowest common multiple of f and 48? 48 Suppose l = 3*l + 8. Let c be (-96)/10 + l/10. Calculate the lowest common multiple of (c/(-2))/((-2)/(-8)) and 2. 20 Let b = 0 - -14. Let v(a) = 5*a**3 - a. Let p be v(1). Suppose 0 = l + p*l - 60. What is the least common multiple of l and b? 84 Let f be ((-10)/1)/(-2)*1. Let q be 15 + (-1 + f - 2). Suppose d + 5 = 2*l, -5*l + d = -3*d - q. What is the least common multiple of l and 5? 5 Suppose -5*n = 5*x - 95, -6*n + 3*n + 5*x = -65. What is the smallest common multiple of 4 and n? 20 Let g = 1441/76 + -99/19. Calculate the common denominator of 43/3 and g. 12 Let t = -22 - -32. Calculate the least common multiple of t and 17. 170 Suppose -p = 3*s - 140, p - 2*p + 236 = 5*s. Find the common denominator of 2/11 and s. 11 Let s be 2/8 - 49/4. What is the common denominator of (1 - -5)*93/(-12) and 161/s + 2/12? 4 Let d = 626/5 + -128. Let k(i) = -12*i + 2. What is the common denominator of k(-2) and d? 5 Let n = 44 + 6. Let a be -2 + -1*-4*1. What is the least common multiple of 12 and a/5*1*n? 60 Let o be -3 + 15725087/648964 + 3. Let s = o + -63/8539. Let t = 66/19 - s. Calculate the common denominator of t and 19/3. 12 Let h be 2/(-8) - 363/(-12). Calculate the common denominator of (-19)/(h/(-3) + 0) and -23/2. 10 Let k(a) = a**3 + 9*a**2 + 6*a + 6. Let n be k(-8). Let x = -11 + n. Calculate the lowest common multiple of 2 and x. 22 Suppose -5*n + 2*n + 5 = -5*q, 0 = 2*q + 3*n + 2. Let i = 153 - 10. Find the common denominator of (q - 1)/(12/i) and 59/10. 30 Let b be ((-6)/(-16))/((-12)/721384*-3). Suppose 2244 = m - 3*l - 5275, 2*m - 4*l = 15040. Let u = m - b. What is the common denominator of u and 23/4? 12 Let l = -584257/26358 + -2/4393. Find the common denominator of l and -19/18. 18 Calculate the common denominator of (3/(-20))/(9/(-66)) and -7/44. 220 What is the smallest common multiple of 4 and (-28)/(-3)*(-108)/(-42)*1? 24 Suppose -5*y = 4 + 1. Let r = -4 - y. What is the smallest common multiple of 0 - 3/r - -1 and 14? 14 Let c = -8/531 + -60953/7434. Calculate the common denominator of c and -87/20. 140 Suppose 2*u - 11 = -9. Calculate the lowest common multiple of u and ((-2)/3 + 1)*24. 8 Let y = -8 - -22. Let p(b) = b**2 - 5*b - 8. Calculate the lowest common multiple of p(8) and -1 + y + -1 + 0. 48 Let z(d) = -2*d - 4. Let v be z(-6). Calculate the common denominator of (-734)/(-28) + v/28 and 19/14. 14 Let x = 59383/9500 + -2/2375. Find the common denominator of (-523)/60 - 2/10 and x. 12 Suppose 7*h - 195 = -6*h. What is the lowest common multiple of h and 15? 15 Let h = 16410 + -886111/54. Find the common denominator of h and -125/54. 54 Let k(h) be the second derivative of h**5/20 - 5*h**4/12 - h**3 + 3*h**2 + 4*h. What is the smallest common multiple of 6 and k(6)? 6 What is the lowest common multiple of 21 + (-18*1)/3 and (-15)/(-6)*(0 - -2)? 15 Let q be (9/6 + -1)*4. Suppose -7*b - 2*o = -q*b - 92, -5*b + 95 = 5*o. What is the lowest common multiple of b and 4? 36 Let s(c) = 3*c + 6. Let o be s(-5). Let w(n) = -n**2 - 10*n + 7. Calculate the lowest common multiple of 14 and w(o). 112 Let a = -165787/1098 - -2683/18. Let c = 254524397/5490 - 695437/15. Let t = c + a. What is the common denominator of t and 107/10? 90 Suppose m + 48 = 4*m. Calculate the lowest common multiple of (-2)/(-4) + (-70)/(-4) and m. 144 Let o(t) = t - 1. Let n(l) = -9*l**2 - 1. Let m(j) = -n(j) + o(j). What is the least common multiple of 20 and m(-1)? 40 Let q be 1 + (-1 - -2)/1. Let w = 292 + -3211/11. Calculate the common denominator of w and q/4*(-132)/(-9). 33 Let l(p) = -p**2 + 14*p - 11. What is the smallest common multiple of 22 and l(13)? 22 Let g = -33 - -21. Let q = g - -22. What is the smallest common multiple of 7 and q? 70 Let d = -3041/1634 - -97/43. Calculate the common denominator of d and 81/2. 38 Let a = 31439/7 + -4484. Find the common denominator of a and 15. 7 Suppose 0 = 21*u - 19*u. Suppose u = 3*v - p - 43, -2*v = -2*p - 4 - 26. What is the least common multiple of 8 and v? 56 Let n = 8 + -1. Calculate the lowest common multiple of 7 and n. 7 Let q(y) = 4*y - 4. Let v be 8/6*63/6. Suppose v - 50 = -4*h. Calculate the smallest common multiple of q(3) and h. 72 Let u be (-5)/(-10) - (-82)/4. Suppose -3*j = -6*j + u. Calculate the lowest common multiple of j and 7. 7 Let l(s) = -s**2 + 17*s + 4. What is the smallest common multiple of l(17) and 10? 20 Let s = 0 - -8. Calculate the smallest common multiple of s and (77/33)/(2/6). 56 Let d = 4 + -4. Suppose 4*n + d*n - 52 = 2*m, 4*n - m = 48. Calculate the least common multiple of 8 and n. 88 Let h = 167 - 309/2. Let d = h + -239/22. Calculate the common denominator of -39/2 and d. 22 Suppose 5*c + 19 = -3*h, 0*h + 3*h + 55 = 4*c. Let i = h - -15. What is the least common multiple of 4 and i? 4 Let o(s) = 29*s**2 - 2*s - 1. Let b be o(-1). Calculate the smallest common multiple of 6 and (10/b)/((-1)/(-15)). 30 Let m = -137945/22 + 6272. What is the common denominator of ((-86)/(-24))/(3/(-9)) and m? 44 Let m(v) be the third derivative of v**4/24 + v**3/6 + 3*v**2. What is the smallest common multiple of 8 and m(5)? 24 Let r(b) = 8*b**2 - 6*b + 6. Let h be r(6). What is the common denominator of (-5)/(100/h) + 2 and 229/40 + (-2)/(-5)? 40 Let u be 124/10 - (-6)/(-15). Suppose -2*y + u = -2*g, 4*g - 6 = g - 5*y. Calculate the smallest common multiple of 8 and (-10)/g + (-1)/3. 24 Let k be 2 + -4 + 5 + 2. Suppose 0 = 5*m + 4*f + 6, k*f - 5 = 2*m - 29. Calculate the least common multiple of m and 11. 22 Let z(j) = -69*j**2 + 3*j + 3. Let l be z(5). What is the common denominator of -71/6 and l/(-126) - 4/(-14)? 6 Let y(d) = -51*d**3 - 1. Let m be y(-1). Suppose -i + m = 4*i. Calculate the least common multiple of i and 12. 60 Let h(r) = -2304*r - 2. Let y be h(2). Let w be (-21)/24*(y - -1). Let v = w + -4023. What is the common denominator of 51/8 and v? 8 Let n be 3 + -7 + 2 - 8. Calculate the least common multiple of (1 - (-2)/(-1)) + 5 and (4/n - -1)*15. 36 Let y = 2433/580 + -39/29. Calculate the common denominator of -137/126 and y. 1260 Let t(i) = -i**3 - 5*i**2 + i - 2. Let k be t(-5). Let x = -11 - -27. Calculate the least common multiple of (-40)/k + (-4)/(-14) and x. 48 Suppose 0*f = -4*f + 4. What is the least common multiple of f and 9? 9 Let t = 35 + -25. Suppose -3*r - 42 = -2*k, -14 = 2*r + 4*k - 2. Calculate the lowest common multiple of t and (-9 - -1)*r/8. 60 Suppose 3*s = -2*h - 1328, 0 = -3*h + s - 3390 + 1376. Suppose -l + 183 = -4*f, -l + 5*l + 96 = -2*f. Find the common denominator of f and (-4)/20*h/4. 2 Let m(f) = f**3 + 4*f**2 - 1. Let j be m(-4). Calculate the common denominator of (j/(-4))/((-24)/(-78)) and -119/18. 144 Let g = 239220517363301/55740107767872 - 12/851357951. Let q = 1/21824 - g. Calculate the common denominator of (-1220)/96 + (-1)/(-8) and q. 24 Let k = -242 - -378. Suppose 5*v + 318 = 2*o, 5*v + 23 = o - k. What is the common denominator of -85/8 and 3 + (o/2)/3? 8 What is the common denominator of 1119/170 - (-12)/102 and -2 + (-10)/(-6)*-1? 30 What is the common denominator of -91/10 and 0 + (279/24 - 0)? 40 Suppose -h + 30 = h. Suppose 6*i = i + h. Suppose i*b + 2*b - 100 = 0. Calculate the least common multiple of b and 2. 20 Suppose -39 = 5*c + 1. Find the common denominator of c*-1*16
{ "pile_set_name": "DM Mathematics" }
power of 1/2, to the nearest integer? 324 What is the cube root of 449856 to the nearest integer? 77 What is the square root of 190770 to the nearest integer? 437 What is the square root of 2553444 to the nearest integer? 1598 What is 13446 to the power of 1/2, to the nearest integer? 116 What is the eighth root of 6657128 to the nearest integer? 7 What is the fourth root of 3208523 to the nearest integer? 42 What is 16885255 to the power of 1/6, to the nearest integer? 16 What is 18381432 to the power of 1/9, to the nearest integer? 6 What is 5923326 to the power of 1/8, to the nearest integer? 7 What is the square root of 34518619 to the nearest integer? 5875 What is the square root of 2224891 to the nearest integer? 1492 What is the seventh root of 1713039 to the nearest integer? 8 What is 3604147 to the power of 1/2, to the nearest integer? 1898 What is the sixth root of 618838 to the nearest integer? 9 What is 26311797 to the power of 1/2, to the nearest integer? 5130 What is the tenth root of 3144761 to the nearest integer? 4 What is the square root of 1791997 to the nearest integer? 1339 What is the square root of 1860499 to the nearest integer? 1364 What is 8783278 to the power of 1/2, to the nearest integer? 2964 What is 259386 to the power of 1/2, to the nearest integer? 509 What is the cube root of 1224602 to the nearest integer? 107 What is 1803088 to the power of 1/3, to the nearest integer? 122 What is 968114 to the power of 1/2, to the nearest integer? 984 What is the square root of 3358798 to the nearest integer? 1833 What is 1450397 to the power of 1/3, to the nearest integer? 113 What is the cube root of 179047 to the nearest integer? 56 What is the ninth root of 668880 to the nearest integer? 4 What is the third root of 13394017 to the nearest integer? 237 What is the eighth root of 24035218 to the nearest integer? 8 What is the cube root of 28662 to the nearest integer? 31 What is the tenth root of 2386342 to the nearest integer? 4 What is the ninth root of 111926 to the nearest integer? 4 What is 98242 to the power of 1/2, to the nearest integer? 313 What is the third root of 6448412 to the nearest integer? 186 What is the square root of 322935 to the nearest integer? 568 What is the cube root of 430641 to the nearest integer? 76 What is 673425 to the power of 1/2, to the nearest integer? 821 What is 480885 to the power of 1/4, to the nearest integer? 26 What is the third root of 328904 to the nearest integer? 69 What is 18155924 to the power of 1/2, to the nearest integer? 4261 What is 317020 to the power of 1/9, to the nearest integer? 4 What is 155567 to the power of 1/4, to the nearest integer? 20 What is the tenth root of 111540 to the nearest integer? 3 What is 25408971 to the power of 1/3, to the nearest integer? 294 What is the square root of 159111 to the nearest integer? 399 What is 634445 to the power of 1/4, to the nearest integer? 28 What is 3216091 to the power of 1/2, to the nearest integer? 1793 What is the third root of 1012790 to the nearest integer? 100 What is the third root of 2604910 to the nearest integer? 138 What is 2406008 to the power of 1/6, to the nearest integer? 12 What is the square root of 9371872 to the nearest integer? 3061 What is the cube root of 83843 to the nearest integer? 44 What is the third root of 3162098 to the nearest integer? 147 What is 200941 to the power of 1/2, to the nearest integer? 448 What is 187152 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 42525 to the nearest integer? 4 What is the ninth root of 1494795 to the nearest integer? 5 What is the eighth root of 852268 to the nearest integer? 6 What is 911097 to the power of 1/6, to the nearest integer? 10 What is the cube root of 13245920 to the nearest integer? 237 What is 1795944 to the power of 1/2, to the nearest integer? 1340 What is the seventh root of 690384 to the nearest integer? 7 What is 137579 to the power of 1/7, to the nearest integer? 5 What is 324041 to the power of 1/9, to the nearest integer? 4 What is 3721031 to the power of 1/9, to the nearest integer? 5 What is the tenth root of 1420555 to the nearest integer? 4 What is 371986 to the power of 1/3, to the nearest integer? 72 What is the third root of 94251 to the nearest integer? 46 What is the ninth root of 2768100 to the nearest integer? 5 What is 69553 to the power of 1/2, to the nearest integer? 264 What is the cube root of 21651468 to the nearest integer? 279 What is 12784 to the power of 1/2, to the nearest integer? 113 What is 1631710 to the power of 1/2, to the nearest integer? 1277 What is 1394351 to the power of 1/4, to the nearest integer? 34 What is the cube root of 4792866 to the nearest integer? 169 What is the cube root of 1923108 to the nearest integer? 124 What is the third root of 2710277 to the nearest integer? 139 What is the square root of 2992512 to the nearest integer? 1730 What is the tenth root of 2504177 to the nearest integer? 4 What is 966745 to the power of 1/2, to the nearest integer? 983 What is 7948984 to the power of 1/2, to the nearest integer? 2819 What is the square root of 2393888 to the nearest integer? 1547 What is the fifth root of 1625308 to the nearest integer? 17 What is the third root of 48373 to the nearest integer? 36 What is the fifth root of 15902581 to the nearest integer? 28 What is the third root of 451634 to the nearest integer? 77 What is 11697985 to the power of 1/3, to the nearest integer? 227 What is the fourth root of 1300775 to the nearest integer? 34 What is the cube root of 5969892 to the nearest integer? 181 What is the fifth root of 1012916 to the nearest integer? 16 What is 353996 to the power of 1/2, to the nearest integer? 595 What is the cube root of 34668 to the nearest integer? 33 What is the square root of 3204457 to the nearest integer? 1790 What is 1830881 to the power of 1/3, to the nearest integer? 122 What is the square root of 1234416 to the nearest integer? 1111 What is the fourth root of 1196028 to the nearest integer? 33 What is the third root of 472271 to the nearest integer? 78 What is the fourth root of 2415676 to the nearest integer? 39 What is the square root of 230260 to the nearest integer? 480 What is 1306670 to the power of 1/3, to the nearest integer? 109 What is the third root of 384762 to the nearest integer? 73 What is the sixth root of 373798 to the nearest integer? 8 What is 6465662 to the power of 1/4, to the nearest integer? 50 What is the cube root of 298534 to the nearest integer? 67 What is 183396 to the power of 1/3, to the nearest integer? 57 What is 8181607 to the power of 1/7, to the nearest integer? 10 What is 6779632 to the power of 1/8, to the nearest integer? 7 What is the cube root of 951943 to the nearest integer? 98 What is the square root of 737623 to the nearest integer? 859 What is 8592174 to the power of 1/4, to the nearest integer? 54 What is the cube root of 6850 to the nearest integer? 19 What is 74747 to the power of 1/9, to the nearest integer? 3 What is 7826996 to the power of 1/5, to the nearest integer? 24 What is 214075 to the power of 1/3, to the nearest integer? 60 What is 4321921 to the power of 1/5, to the nearest integer? 21 What is the fourth root of 148635 to the nearest integer? 20 What is the third root of 10751607 to the nearest integer? 221 What is the third root of 306528 to the nearest integer? 67 What is 516369 to the power of 1/2, to the nearest integer? 719 What is 5760528 to the power of 1/10, to the nearest integer? 5 What is 345607 to the power of 1/3, to the nearest integer? 70 What is 508705 to the power of 1/2, to the nearest integer? 713 What is the third root of 411664 to the nearest integer? 74 What is the square root of 6572793 to the nearest integer? 2564 What is the third root of 630536 to the nearest integer? 86 What is 153441 to the power of 1/2, to the nearest integer? 392 What is the square root of 334062 to the nearest integer? 578 What is 126753 to the power of 1/6, to the nearest integer? 7 What is 4844529 to the power of 1/2, to the nearest integer? 2201 What is 206211 to the power of 1/3, to the nearest integer? 59 What is the sixth root of 34150153 to the nea
{ "pile_set_name": "DM Mathematics" }
s 4076 a factor of 368176928? True Does 2120 divide 59766950? False Is 1285 a factor of 24882740? True Is 29897596 a multiple of 5? False Is 348 a factor of 170415600? True Does 830 divide 197945724? False Does 10 divide 203569267? False Is 248846775 a multiple of 69? True Is 51 a factor of 120532635? True Is 17 a factor of 60570209? False Is 45484883 a multiple of 83? False Does 709 divide 351715757? True Is 131418728 a multiple of 7? True Is 294815226 a multiple of 5? False Is 148 a factor of 224183000? True Is 101618483 a multiple of 2? False Does 45 divide 47291599? False Is 71370641 a multiple of 17? True Is 127 a factor of 951402593? True Is 107067608 a multiple of 322? False Is 204990972 a multiple of 6? True Is 2752 a factor of 441329106? False Is 32294765 a multiple of 250? False Does 5 divide 45204590? True Does 1441 divide 2718870154? True Is 322 a factor of 566086626? True Does 27 divide 1346475096? True Is 228 a factor of 815130997? False Is 731580450 a multiple of 13? False Does 1091 divide 18060414? True Is 54 a factor of 190457514? True Does 102 divide 104475132? True Does 34 divide 69342524? True Is 396 a factor of 25664142? False Is 49826812 a multiple of 14? True Is 33 a factor of 1956339? True Is 128492352 a multiple of 864? True Does 548 divide 1199107077? False Is 2 a factor of 7316106? True Is 865 a factor of 97248661? False Is 2259397 a multiple of 163? False Does 2797 divide 468463936? True Is 147 a factor of 35655585? True Is 443 a factor of 38249539? False Does 80 divide 44826804? False Is 3 a factor of 33730400? False Does 140 divide 458008040? True Is 38 a factor of 3290039147? False Is 37930291 a multiple of 259? True Is 141 a factor of 13272754? False Is 4462 a factor of 422387216? False Does 446 divide 861418971? False Does 25 divide 193320125? True Is 612088065 a multiple of 5651? True Is 21855480 a multiple of 12? True Is 4180 a factor of 1744602420? True Is 119 a factor of 215370335? False Is 1056040773 a multiple of 287? False Does 1664 divide 178934173? False Is 5193616914 a multiple of 8971? True Is 24 a factor of 867540517? False Is 29 a factor of 2046186018? False Is 89215090 a multiple of 10? True Is 25780810 a multiple of 11? True Is 1114 a factor of 405315532? True Does 151 divide 15669318? False Is 11605836 even? True Does 25 divide 757101842? False Does 81 divide 5329638? True Is 133962487 even? False Is 49 a factor of 60272343? False Is 279 a factor of 227757329? False Is 103 a factor of 121042098? True Does 3138 divide 10716270? True Is 80 a factor of 456021760? True Does 16 divide 109480369? False Does 264 divide 166946472? True Is 345791134 a multiple of 1648? False Does 960 divide 73962240? True Is 2123415564 a multiple of 122? False Is 729382022 a multiple of 27? False Is 12 a factor of 4477704? True Is 31 a factor of 679279733? False Is 6731490 a multiple of 51? True Is 34431777 a multiple of 27? True Is 297587948 a multiple of 14? True Does 2141 divide 10983330? True Does 1374 divide 876988476? True Does 350 divide 215265490? False Is 793541099 a multiple of 15? False Is 144 a factor of 461641281? False Is 229482589 a multiple of 19? True Is 13097256 a multiple of 10? False Is 303 a factor of 84694863? True Is 213415875 a multiple of 375? True Is 1612546 a multiple of 109? True Does 477 divide 680965200? True Is 251 a factor of 548496495? True Is 26724880 a multiple of 455? True Does 94 divide 43250246? True Is 6050 a factor of 139966750? True Is 2826 a factor of 341331382? False Is 43109025 a multiple of 312? False Is 12722 a factor of 2130988650? False Is 5 a factor of 238434590? True Does 132 divide 7489944? True Is 50541926 a multiple of 74? True Is 195 a factor of 24419002? False Is 858 a factor of 225714338? False Is 3669867929 a multiple of 11921? True Is 801632 a multiple of 47? True Is 53873391 a multiple of 205? False Is 2425 a factor of 443595550? True Is 13 a factor of 51363588? False Is 334 a factor of 17907744? True Does 3582 divide 370907533? False Does 4 divide 5004595? False Is 20673129 a multiple of 306? False Does 1133 divide 88441240? False Is 11721880 a multiple of 10? True Does 22 divide 100804342? False Is 91 a factor of 629667038? True Is 11 a factor of 3455188? True Is 383766 a multiple of 3? True Is 205403502 a multiple of 43? False Is 16804878 a multiple of 358? True Is 20 a factor of 448015784? False Does 1806 divide 233535666? True Does 782 divide 75937394? False Is 353 a factor of 221961105? True Is 30 a factor of 2105137950? True Is 352544922 a multiple of 1629? True Is 22 a factor of 49924301? False Does 129 divide 115559910? False Does 10 divide 50108790? True Is 2723 a factor of 725766636? True Is 33 a factor of 5837929? False Does 129 divide 2422149279? True Is 779 a factor of 432873162? True Is 2680369596 a multiple of 76? True Is 88 a factor of 150595108? False Is 65588040 a multiple of 35? True Is 672182196 a multiple of 15? False Does 30 divide 1490995775? False Does 5988 divide 2385062316? True Is 14 a factor of 15052390? False Is 153 a factor of 7120889? False Is 8975 a factor of 213154894? False Is 6182280 a multiple of 30? True Is 363 a factor of 338460? False Does 10 divide 37974850? True Is 33987348 a multiple of 18? True Does 3526 divide 103308274? True Does 377 divide 21823437? False Is 111062980 a multiple of 4085? True Is 431 a factor of 86946893? False Is 663 a factor of 2466817? False Is 108802040 a multiple of 34? True Is 13 a factor of 13549258? False Is 425906498 a multiple of 1756? False Is 228350451 a multiple of 417? True Does 65 divide 31277574? False Does 4040 divide 301371880? True Is 344132058 a multiple of 2698? False Is 84 a factor of 219232524? True Is 107 a factor of 216878300? True Is 314 a factor of 305467050? True Is 552472795 a multiple of 4525? False Does 63 divide 90176688? True Does 22 divide 41558612? False Is 13581876 a multiple of 231? True Is 422 a factor of 40943284? True Is 1195496640 a multiple of 9620? True Is 315 a factor of 10769220? True Does 1509 divide 14261559? True Is 261 a factor of 364574979? True Is 455 a factor of 3078531365? True Is 22315057 a multiple of 89? False Does 1079 divide 133785322? False Does 96 divide 508148256? True Does 2350 divide 46334950? True Does 804 divide 1265131788? True Is 74 a factor of 4822580? True Is 103 a factor of 192515198? False Does 16 divide 8491521? False Does 123 divide 8623038? True Is 1540494449 a multiple of 381? False Does 184 divide 69593216? True Is 127 a factor of 34599245? True Is 205 a factor of 77937228? False Does 33 divide 17297782? False Does 6355 divide 722419749? False Does 19 divide 82096796? True Is 425751916 a multiple of 329? False Does 4462 divide 130169926? True Is 494 a factor of 16690284? True Is 71481491 a multiple of 137? False Is 3143946750 a multiple of 25? True Is 22 a factor of 71041014? True Is 41729886 a multiple of 18? True Does 222 divide 13453644? True Is 442283624 a multiple of 9? False Is 21963600 a multiple of 1200? True Is 207 a factor of 24707313? True Does 59 divide 475561004? True Is 2341147536 a multiple of 234? True Is 455553745 a multiple of 2621? False Does 48 divide 8895631? False Does 54 divide 39893148? True Is 6451 a factor of 423482108? False Is 77788233 a multiple of 994? False Does 209 divide 141743591? True Is 623732 a multiple of 19? True Does 18 divide 114630948? True Does 7 divide 309069560? False Is 16962799 a multiple of 14? False Does 263 divide 20015089? True Is 427667700 a multiple of 2010? True Does 4683 divide 357787754? False Is 30 a factor of 2140222? False Does 478 divide 84160982? True Is 47148211 a multiple of 18? False Is 12 a factor of 88451065? False Does 12 divide 1450088184? True Is 608451266 a multiple of 162? False Does 20 divide 58078956? False Is 467610 a multiple of 26? True Is 134250678 a multiple of 18? True Is 2913603426 a multiple of 1208? False Is 381 a factor of 226242977? False Does 25 divide 143961008? False Is 127493632 a multiple of 23? False Is 29 a factor of 8765265? False Does 4 divide 52810276? True Does 140 divide 52318420? True Does 11 divide 47460633? True Is 295164941 a multiple of 1907? False Does 17 divide 137872482? True Is 56 a factor of 25444937? False Is 2654238
{ "pile_set_name": "DM Mathematics" }
remainder when 255 is divided by 78? 21 Calculate the remainder when 511 is divided by 130. 121 What is the remainder when 4853 is divided by 135? 128 Calculate the remainder when 523 is divided by 126. 19 What is the remainder when 161 is divided by 56? 49 Calculate the remainder when 1150 is divided by 64. 62 Calculate the remainder when 658 is divided by 10. 8 What is the remainder when 297 is divided by 75? 72 Calculate the remainder when 403 is divided by 14. 11 What is the remainder when 119 is divided by 23? 4 Calculate the remainder when 427 is divided by 86. 83 Calculate the remainder when 1038 is divided by 33. 15 What is the remainder when 209 is divided by 7? 6 Calculate the remainder when 3378 is divided by 161. 158 Calculate the remainder when 460 is divided by 66. 64 Calculate the remainder when 165 is divided by 49. 18 What is the remainder when 4505 is divided by 82? 77 Calculate the remainder when 123 is divided by 6. 3 What is the remainder when 253 is divided by 17? 15 What is the remainder when 14838 is divided by 51? 48 Calculate the remainder when 4705 is divided by 62. 55 What is the remainder when 156 is divided by 19? 4 Calculate the remainder when 1456 is divided by 27. 25 What is the remainder when 11757 is divided by 14? 11 Calculate the remainder when 215 is divided by 10. 5 What is the remainder when 20433 is divided by 29? 17 Calculate the remainder when 1058 is divided by 270. 248 Calculate the remainder when 1001 is divided by 993. 8 What is the remainder when 870 is divided by 434? 2 What is the remainder when 2309 is divided by 66? 65 What is the remainder when 39 is divided by 1? 0 Calculate the remainder when 499 is divided by 20. 19 What is the remainder when 100 is divided by 2? 0 What is the remainder when 184 is divided by 49? 37 What is the remainder when 1093 is divided by 519? 55 What is the remainder when 230 is divided by 38? 2 Calculate the remainder when 1878 is divided by 47. 45 Calculate the remainder when 314 is divided by 34. 8 Calculate the remainder when 12967 is divided by 4321. 4 What is the remainder when 1245 is divided by 39? 36 What is the remainder when 287 is divided by 72? 71 What is the remainder when 1964 is divided by 488? 12 What is the remainder when 181 is divided by 46? 43 What is the remainder when 80 is divided by 78? 2 What is the remainder when 14901 is divided by 72? 69 Calculate the remainder when 113 is divided by 89. 24 What is the remainder when 115 is divided by 31? 22 Calculate the remainder when 147 is divided by 9. 3 What is the remainder when 1036 is divided by 20? 16 What is the remainder when 1258 is divided by 10? 8 What is the remainder when 194 is divided by 71? 52 Calculate the remainder when 7073 is divided by 3531. 11 Calculate the remainder when 93 is divided by 19. 17 What is the remainder when 727 is divided by 5? 2 Calculate the remainder when 53 is divided by 5. 3 What is the remainder when 655 is divided by 15? 10 What is the remainder when 61 is divided by 21? 19 Calculate the remainder when 4407 is divided by 45. 42 Calculate the remainder when 335 is divided by 109. 8 What is the remainder when 9406 is divided by 26? 20 Calculate the remainder when 15967 is divided by 10. 7 Calculate the remainder when 466 is divided by 150. 16 What is the remainder when 1668 is divided by 822? 24 What is the remainder when 678 is divided by 18? 12 What is the remainder when 81 is divided by 45? 36 Calculate the remainder when 3049 is divided by 10. 9 What is the remainder when 3870 is divided by 154? 20 What is the remainder when 648 is divided by 26? 24 Calculate the remainder when 3074 is divided by 512. 2 What is the remainder when 276 is divided by 8? 4 Calculate the remainder when 4861 is divided by 31. 25 Calculate the remainder when 257 is divided by 52. 49 Calculate the remainder when 211 is divided by 37. 26 Calculate the remainder when 60 is divided by 14. 4 Calculate the remainder when 68 is divided by 5. 3 What is the remainder when 287 is divided by 52? 27 What is the remainder when 152 is divided by 16? 8 What is the remainder when 244 is divided by 42? 34 Calculate the remainder when 184 is divided by 99. 85 What is the remainder when 3383 is divided by 11? 6 Calculate the remainder when 16442 is divided by 189. 188 Calculate the remainder when 6063 is divided by 41. 36 What is the remainder when 50 is divided by 7? 1 Calculate the remainder when 6282 is divided by 1568. 10 What is the remainder when 65 is divided by 20? 5 What is the remainder when 150 is divided by 14? 10 Calculate the remainder when 279 is divided by 10. 9 Calculate the remainder when 146 is divided by 66. 14 Calculate the remainder when 108 is divided by 38. 32 Calculate the remainder when 895 is divided by 25. 20 Calculate the remainder when 262 is divided by 38. 34 What is the remainder when 4368 is divided by 163? 130 What is the remainder when 2744 is divided by 1359? 26 Calculate the remainder when 112 is divided by 73. 39 Calculate the remainder when 25 is divided by 4. 1 Calculate the remainder when 256 is divided by 43. 41 What is the remainder when 26 is divided by 26? 0 Calculate the remainder when 848 is divided by 23. 20 What is the remainder when 11531 is divided by 19? 17 Calculate the remainder when 628 is divided by 28. 12 Calculate the remainder when 1494 is divided by 14. 10 What is the remainder when 67 is divided by 37? 30 Calculate the remainder when 14 is divided by 2. 0 What is the remainder when 253 is divided by 22? 11 Calculate the remainder when 2517 is divided by 70. 67 What is the remainder when 1444 is divided by 85? 84 Calculate the remainder when 18569 is divided by 49. 47 Calculate the remainder when 645 is divided by 288. 69 What is the remainder when 271 is divided by 86? 13 Calculate the remainder when 660 is divided by 215. 15 Calculate the remainder when 10478 is divided by 80. 78 What is the remainder when 126 is divided by 20? 6 Calculate the remainder when 178 is divided by 11. 2 Calculate the remainder when 329 is divided by 23. 7 Calculate the remainder when 249 is divided by 15. 9 Calculate the remainder when 254 is divided by 32. 30 What is the remainder when 235 is divided by 63? 46 Calculate the remainder when 164 is divided by 14. 10 Calculate the remainder when 70 is divided by 24. 22 What is the remainder when 58 is divided by 32? 26 What is the remainder when 355 is divided by 78? 43 What is the remainder when 2708 is divided by 227? 211 Calculate the remainder when 378 is divided by 3. 0 What is the remainder when 193 is divided by 14? 11 Calculate the remainder when 50 is divided by 19. 12 Calculate the remainder when 2692 is divided by 35. 32 What is the remainder when 28 is divided by 24? 4 What is the remainder when 119 is divided by 32? 23 What is the remainder when 28 is divided by 9? 1 What is the remainder when 911 is divided by 36? 11 What is the remainder when 797 is divided by 62? 53 Calculate the remainder when 609 is divided by 12. 9 What is the remainder when 1178 is divided by 12? 2 What is the remainder when 386 is divided by 30? 26 Calculate the remainder when 220 is divided by 4. 0 What is the remainder when 26 is divided by 3? 2 Calculate the remainder when 1811 is divided by 259. 257 What is the remainder when 248 is divided by 39? 14 What is the remainder when 668 is divided by 91? 31 Calculate the remainder when 381 is divided by 3. 0 What is the remainder when 179 is divided by 36? 35 Calculate the remainder when 668 is divided by 13. 5 Calculate the remainder when 405 is divided by 102. 99 Calculate the remainder when 3609 is divided by 106. 5 What is the remainder when 417 is divided by 42? 39 What is the remainder when 2339 is divided by 52? 51 Calculate the remainder when 899 is divided by 9. 8 Calculate the remainder when 53 is divided by 32. 21 What is the remainder when 206 is divided by 182? 24 What is the remainder when 1104 is divided by 190? 154 What is the remainder when 469 is divided by 3? 1 Calculate the remainder when 124 is divided by 67. 57 Calculate the remainder when 596 is divided by 46. 44 What is the remainder when 17819 is divided by 30? 29 Calculate the remainder when 1
{ "pile_set_name": "DM Mathematics" }
-t*c = -l*c for c. 0 Let b be (-3)/(9/(-3)) + 17. Suppose -5*r - b = -2*w - 3, r - 9 = -2*w. Solve 0 = -h - 1 + w for h. 4 Suppose 44 - 14 = 3*o. Solve o = -f + 6*f for f. 2 Let h(j) = 2*j**2 - 24*j - 16. Let q be h(13). Solve 4*p + p - q = 0 for p. 2 Let l(a) = -5 - 11*a - 5*a**2 + 21 + 6 + 6*a**2. Let j be l(9). Solve 9*c + 10 = j*c for c. -2 Suppose 2*c = 2 + 6. Solve 5*k = -c - 21 for k. -5 Let i(d) = 4*d**2 - 20*d + 3. Let z(h) = h**2 - h + 1. Let g(t) = i(t) - 3*z(t). Let l be g(7). Let j be l/4*(-12)/15. Solve 0 = -5*o + j + 6 for o. 4 Suppose -5*m + 4*f = -41, -m - m + f = -14. Solve 0*w + m = 5*w for w. 1 Let o be 1/(6*2/36). Solve -3*p = -o - 9 for p. 4 Let k = 8 + -4. Suppose -3*t - n = -3 - 6, -k*n = -12. Suppose -t*m + 6 = 3*p, -5*m = -4*p + 16 + 15. Solve p*r + 8 = -0 for r. -2 Let h(v) = -v - 4. Let o be h(-7). Let r = o + -3. Suppose 15 = -r*b + 3*b. Solve -b + 2 = -j for j. 3 Let f be 6 + (-1)/(-1)*2. Solve -3*d + 4 = -f for d. 4 Suppose 6*b - 3*b = 27. Let i = b - 9. Solve 0 = c + 4 - i for c. -4 Let r(l) = l**2 + l + 1. Let m be r(0). Suppose 2*g - 5 = -m. Solve -g*a - 3 = 7 for a. -5 Let b be (0/(-8))/(-1*1). Solve 0 = -3*s - b*s - 3 for s. -1 Suppose 3*i - 2*i = 2. Solve -6*f - i = -4*f for f. -1 Suppose -5*z - 43 = -83. Solve -3*a = -4 - z for a. 4 Let z be 14/5 + (-16)/20 + 1. Let i = 4 - 3. Let v = i - 1. Solve z + v = a for a. 3 Let t = -75 + 78. Solve t*b - b = 4 for b. 2 Suppose -4*i = g + 2 - 16, 5*i - 16 = -g. Let d be (4 - g/3) + 1. Solve d = -w + 1 for w. -2 Let c be 94/(-8) - 2/8. Let q = 17 + c. Suppose 0 = -t + q - 3. Solve -3 = t*j + j for j. -1 Let p(i) = -4*i. Let y = 2 - 0. Suppose -1 = -l - y. Let j be p(l). Solve j*b - 20 = -0*b for b. 5 Let c(p) = 2*p + 2. Let t be c(5). Let f be t/42 - (-12)/7. Suppose -f*r + 1 = -1. Solve r = j - 3 for j. 4 Suppose x + 1 = 0, -t + 2*t - 3*x - 5 = 0. Let j = 0 + 0. Let g be j/(-1 + (t - 2)). Solve g = -0*m - 3*m + 6 for m. 2 Let g = 25 + -22. Solve 0 = -4*x + x + g for x. 1 Let t(b) = b**3 - 5*b**2 - 6*b + 3. Let d be (-175)/(-28) + 2/(-8). Let c be t(d). Suppose -5 = -2*r + c. Solve -r*j - 3 = 5 for j. -2 Let c = -14 + 18. Suppose c*d + 16 - 48 = 0. Solve -3*a = -a + d for a. -4 Let l be -1 + 1 + 10/2. Let p(h) = -h**2 + 3. Let q(u) = -u + 1. Let r(k) = p(k) - 6*q(k). Let s be r(l). Solve -s*w - 8 = -6*w for w. 2 Let z(w) = 35*w**2 + w. Let l be z(1). Let i be 4/(-18) + 8/l. Solve i*c = 5*c - 10 for c. 2 Let p = 1 + -3. Let j be ((-7)/(-5) + p)*-5. Solve 11 = -j*a - 1 for a. -4 Let v(r) = r - 2. Let o be v(4). Suppose -4 = -m - 3, o*g - 12 = -2*m. Let y be 2/g - (-138)/30. Solve y*t + 4 = -11 for t. -3 Suppose 5*l = 2*l + 12. Solve -j + l*j + 15 = 0 for j. -5 Suppose 13 = -o - 5*j + 32, -2*j + 13 = -5*o. Let x = o + 0. Let w be x/1*1*-1. Solve 0 = -5*z + w - 11 for z. -2 Suppose -104*p = -95*p. Suppose 0 = -3*l - 12, l = -4*a + 5*l + 28. Solve -3*y + 2*y + a = p for y. 3 Let l(d) = -d**2 + d + 4. Let n be l(2). Solve 15 = n*f + 7 for f. 4 Suppose -h + 5 = 4. Solve 0 = q + h + 2 for q. -3 Let y(m) = m + 4. Let i be y(-2). Solve -i = 2*w - 6 for w. 2 Let z(k) = 7*k**2 + 4. Let o be z(2). Solve -5*b - 7 + o = 0 for b. 5 Let z(d) be the first derivative of d**4/4 - 4*d**3/3 - 5*d**2/2 + d + 3. Let r be z(5). Let t = 4 - r. Solve o - t*o = -10 for o. 5 Let f = 137 + -135. Let r = 1 - 0. Solve -f*b - 1 = r for b. -1 Suppose -4 - 1 = 5*z, 20 = 4*b - 4*z. Suppose b*a - 4*r = r + 39, 4*r + 36 = 4*a. Let u = a - 6. Solve -v + 1 + 4 = u for v. 5 Suppose 0 = 3*j + 8 - 14. Solve -j + 14 = -4*d for d. -3 Let n(w) = -w**3 - 6*w**2 - 7*w + 7. Let f be n(-4). Solve 2*u + f*u = 0 for u. 0 Let q be 259/49 + 2/(-7). Suppose 0 = -0*h + q*h - 15. Suppose -h*g = -27 - 3. Solve -5 = 5*o + g for o. -3 Let p = 11 + -7. Suppose -p*j = -j + 5*x - 11, 0 = -2*j - 5*x + 9. Suppose -16 = z - 5*z - 4*y, j*z + 3*y = 5. Solve z*n - 3*n - 4 = 0 for n. 1 Let b(s) = -2*s - 6. Let q be b(-4). Suppose 5*l = q*l. Suppose l = -u - 0*u. Solve -f = -u*f + 1 for f. -1 Suppose -2*n + 0 = 2*d - 4, 16 = 5*d + 2*n. Suppose 3*k + 4 = -2. Let p = 6 + k. Solve -p*r - d = -0*r for r. -1 Let m(h) = -h**2 - 4*h + 4. Let z be m(-4). Solve z*g = -g - 10 for g. -2 Let b(p) = 0*p + 2*p**3 + 3*p**2 - 7*p**2 - p**3 + 2*p + 3. Let z be b(3). Solve z = -4*a - 25 + 9 for a. -4 Let z(v) be the first derivative of 4*v - 1/2*v**2 - 2. Let q be z(4). Solve 10 = -2*l - q for l. -5 Suppose 4*j - 7 - 13 = 0. Suppose 0*y = 5*y + 2*r - 6, -4*y = j*r + 2. Let w be y + 5 - (0 - -3). Solve 0 = -w*d + 3 + 17 for d. 5 Suppose -19 = 3*v + 3*a - 4, 19 = -5*v - 3*a. Let p be 0*((-5)/v - 3). Solve p*z = 2*z + 6 for z. -3 Suppose 6 = -2*f - 4*j, -f = -6*f - j + 12. Solve 4*i - f - 5 = 0 for i. 2 Let r = 1 - 1. Suppose -4*h - 4 = 0, 0 = 6*c - c - h - 21. Solve -c = a - r*a for a. -4 Let d = 8 - 4. Let v be 2*(-2)/d*-2. Let k be 1 - (-2 + 0)/v. Solve -1 = -k*z + 3*z for z. -1 Suppose 7*k = 3*k + 16. Suppose -5*t - 6 = 2*u, -2*u - u - 9 = 2*t. Let j = k - t. Solve 12 = -4*c - j for c. -4 Let l = 63 + -62. Solve 9 = 2*t + l for t. 4 Let i(g) = -g**2 + 5*g + 2. Let q be i(6). Let s = 5 - q. Let d be s/4 - 2/8. Solve -d*p = -p for p. 0 Suppose -3*b + 0 = c - 8, 4*b - 29 = -5*c. Suppose b = 3*w - 2. Solve 3 = 4*m - w for m. 1 Suppose -8*k = -8 - 8. Solve -k*p = p - 12 for p. 4 Let n be 12/10*(3 + 2). Let c(m) = -m**3 - 7*m**2 + 4. Let k be c(-7). Suppose -n*t = -4*t - o - 4, k*t = -4*o - 4. Solve -t = -2*d - 9 for d. -4 Let r be (7 - 6)/((-1)/(-4)). Solve -h + 6 = -r*h for h. -2 Let i(n) = 3*n**3 + n - 1. Let j be i(1). Solve -j*a - 9 = -6*a for a. 3 Let s(y) = -y**2 + 10*y - 12. Let d be (-4)/6*-4*3. Let a be s(d). Suppose 6*z = -3*u + 2*z + 57, -z - 57 = -3*u. Solve -a*m + 7 = u for m. -3 Let s be (-12)/(-15) + 205/25. Let a be -3 - (0 - 0/(-1)). Let w = s + a. Solve 2*j + w = -0 for j. -3 Let p = 1 + 7. Let n = -8 + p. Solve 6*l - l = n for l. 0 Let b(x) = -x**2 - 6*x + 7. Let u be b(-6). Let y(i) = u + 5*i - 5*i - i. Let g be y(5). Solve -4 = 2*d + g*d for d. -1 Let m be (-15)/(-21) - (-10)/35. Solve m - 16 = 3*z for z. -5 Let h = 6 - 1. Let u = 34 - 13. Suppose 2*r - u = h. Solve 1 = 4*t + r for t. -3 Let k be (-4)/14 + 8/28 + 2. Solve g - 3 = k*g for g. -3 Let m = 12 - -1. Suppose 0 = 5*g - 10. Suppose -g*p - 5 = -v - m, 4*v + 20 = 5*p. Solve 0*f - f = v for f. 0 Let z = -1 - -7. Suppose -2*y + 2 = -z. Suppose -y*s - 4 = -12. Solve s*i = -i for i. 0 Suppose 0 = -a + 2. Suppose a*m - 3*m = 3*t + 10, 3*t + 8 = -2*m. Solve m*u + 10 = -3*u for u. -2 Let d(b) be the first derivative of -b**2/2 - 4*b + 3. Let n be d(-6). Solve w = -w + n for w. 1 Let p be (-1)/((9/3)/(-18)). Let r = -9 + p. Let n be 1*(3 - 0/r). Solve 0 = 4*y - n*y for y. 0 Let q(d) be the first derivative of -1/3*d**3 + 2 + 0*d - 5/2*d**2. Let t be q(-4). Solve -t = 2*u + 2*u for u. -1 Let c = 15 + -14. Let d be 0 - c/3*0. Solve n - 1 = -d for n. 1 Let l(w) = -w. Let q = 3 - 4. Let b be l(q). Let r = 4 + b. Solve r*m - m + 16 = 0 for m. -4 Let j = 16 + -13. Let t = -2 - 0. Let i = 2 + t. Solve 2*x + j + 3 = i for x. -3 Suppose -7*f = -2*f + 5. Let s(n) be the first derivative of 22*n**3/3 + n**2 + n - 2. Let a be s(f). Solve 4*v = 5 - a for v. -4 Let s = 14 - 51. Let p = 62 + s. Solve -3*q - 2*q - p = 0 for q. -5 Let p = 18 - 6. Solve -4*v + p = -0 for v. 3 Let u be (-2)/(2 + 16/(-6)). Let j be 0*(u/2 + -2). Suppose j = -2*a + 6*a. Solve 0 = 4*b - a*b for b. 0 Let h = 22 + 2. Let z be 6/5*(-80)/h. Let n = 7 + z. Solve -p + 8 = n*p for p. 2 Let b be -1 + -5 + (1 - 0). Let j be (1 - 3) + (11 - 10). Let r be (1 + j)/(-6 - b). Solve 3*d = -r*d for d. 0 Suppose 2*u - 1 = 4*y + 3, 0 = 2*u + 8. Let z be y/2*16/(-6). Solve 0 = -4*w - 0*w - z for w. -1 Let o = -2 - -4. Suppose 2*m = -o*m + 32. Let l be (3/4)/(1/4). Solve -l*y = -y + m for y. -4 Let b be 4/22 + (-1218)/(-77). Suppose 0 = -2*i - 2 - b. Let r be (6/i)/(3/(-9)). Solve -4 + 2 = r*c for c. -1 Let h(i) = -i**3 - 3*i**2 + 3*i - 4. Let q be h(-4). Let x be (-4)/(-6)*(q - -3). Solve -x*v - v - 9 = 0 for v. -3 Let n = -1 + 8. Suppose -2*i + 2*k + 15 = n*k, 2*i = 2*k + 8. Suppose -i*z + 50 = -0*z. Solve -6*j + z = -j for j. 2 Suppose 5*b + 5 = 6*b. Solve b*h - 16 = h for h. 4 Suppose 2*o = 0, 6*o = 5*w + o - 15. Let t be 22/6 - 2/(-6). L
{ "pile_set_name": "DM Mathematics" }
848551 a composite number? False Is 4549757 a composite number? False Is 82698277 a prime number? True Is 2544379 prime? False Is 244956515 a prime number? False Is 111553102 prime? False Is 1478413 a composite number? False Is 56642039 composite? True Is 2983639 prime? True Is 11943557 composite? False Is 500527 a prime number? True Is 10669046 prime? False Is 3817285 a composite number? True Is 2689391 a prime number? True Is 315820103 a prime number? True Is 12368381 composite? False Is 28116697 a prime number? False Is 664933 a composite number? False Is 7540319 a prime number? False Is 1352085389 prime? True Is 10029783 a composite number? True Is 29312489 a prime number? False Is 1760131 a composite number? False Is 1806887 a composite number? False Is 4443037 prime? True Is 204014159 a composite number? True Is 1200581 a prime number? True Is 34802939 a prime number? True Is 21758909 prime? True Is 18207923 a prime number? False Is 3907949 a prime number? True Is 572528161 prime? True Is 225647339 a composite number? False Is 39038491 a prime number? True Is 274487461 prime? False Is 1629253 a composite number? False Is 5777711 a composite number? False Is 1689239 a prime number? False Is 13168401 a prime number? False Is 143525341 a composite number? True Is 1279303807 composite? True Is 332615 composite? True Is 5135549 a composite number? True Is 6275641 prime? True Is 661227145 a composite number? True Is 168301021 a composite number? True Is 8648201 composite? True Is 2298559 a prime number? False Is 53543561 a composite number? True Is 2820833 prime? True Is 34896823 a composite number? True Is 110527 a prime number? True Is 20461349 a composite number? False Is 24835219 a composite number? False Is 89190281 composite? False Is 1198661 composite? False Is 6659474 prime? False Is 445579 a prime number? False Is 410869 composite? True Is 31869547 composite? False Is 18192679 composite? False Is 464573299 composite? 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True Is 2829457 composite? True Is 2280599 composite? True Is 114004577 a composite number? True Is 4474273 a prime number? True Is 70687 prime? True Is 242316447 composite? True Is 33745037 composite? True Is 20904343 prime? True Is 2355517 prime? True Is 23208517 a prime number? True Is 150689147 a prime number? False Is 2626907 a prime number? False Is 2400665 composite? True Is 175009546 prime? False Is 106064659 a composite number? True Is 208104683 a prime number? False Is 136663313 a composite number? False Is 522149 composite? True Is 4059841 prime? False Is 621389 composite? False Is 52320613 a prime number? True Is 46681997 a prime number? True Is 51721961 a prime number? False Is 70753 prime? True Is 4986287 composite? True Is 393477965 a composite number? True Is 5609141 a prime number? True Is 47859353 a prime number? False Is 6549761 prime? True Is 260363 composite? False Is 5528807 composite? True Is 2056111 composite? False Is 9294283 prime? True Is 8339117 a composite number? False Is 12874611 composite? True Is 23899991 a composite number? False Is 37272233 a prime number? True Is 3890977 composite? True Is 216062617 a composite number? False Is 7009577 a composite number? False Is 12376313 a prime number? True Is 204490651 prime? True Is 7656653 a composite number? False Is 123063277 a composite number? True Is 4281703 composite? True Is 135871 a composite number? True Is 10689383 a prime number? True Is 8926711 composite? False Is 35853079 a composite number? False Is 4639301 composite? True Is 43739537 a prime number? False Is 241169 prime? True Is 205917 a composite number? True Is 215025823 a composite number? True Is 10462451 composite? False Is 21331939 a composite number? True Is 789801 prime? False Is 67331 composite? True Is 451980951 a prime number? False Is 3823271 prime? True Is 141287 a prime number? False Is 17813 composite? True Is 197078719 prime? True Is 334247 composite? False Is 19812607 a prime number? True Is 38728487 composite? True Is 2313889 prime? True Is 233385637 prime? False Is 2588909 a composite number? True Is 198634787 prime? False Is 547950023 prime? True Is 99233239 a composite number? True Is 1564307 composite? False Is 101267 a prime number? True Is 55678741 composite? True Is 25420319 a composite number? False Is 27784703 a prime number? True Is 3047 prime? False Is 352459 composite? False Is 52479379 a composite number? True Is 6551347 a composite number? True Is 10113503 a prime number? True Is 457374347 prime? False Is 12389963 composite? False Is 25882771 a composite number? False Is 14319199 composite? False Is 113279 prime? True Is 54022 a prime number? False Is 3307442 a prime number? False Is 78988379 prime? True Is 8855435 prime? False Is 7461931 prime? False Is 466367 a composite number? True Is 9236369 a prime number? True Is 205604353 prime? True Is 17761753 a composite number? True Is 26582743 a composite number? True Is 61109 a composite number? True Is 62775205 a prime number? False Is 274539869 prime? True Is 11141257 composite? True Is 6335449 a composite number? False Is 103289762 a prime number? False Is 45380131 prime? True Is 403381 a prime number? False Is 42741511 composite? True Is 54212451 composite? True Is 9772207 a composite number? True Is 2258818 a prime number? False Is 89825207 composite? False Is 3923471 a prime number? True Is 5695961 a prime number? True Is 44344193 a prime number? True Is 1063483 composite? False Is 71662727 a composite number? True Is 539375687 composite? True Is 21744703 composite? True Is 6557459 a composite number? False Is 18861 a prime number? False Is 114357431 prime? False Is 7621921 a composite number? True Is 1001369 a composite number? False Is 8757863 a prime number? False Is 459342607 composite? False Is 115004531 prime? False Is 22132259 prime? True Is 6959621 a prime number? True Is 28267129 a composite number? True Is 973070086 composite? True Is 22332857 composite? True Is 697787 prime? True Is 424211 prime? False Is 6147287 composite? False Is 17138683 composite? False Is 66356323 a prime number? False Is 306029671 a prime number? False Is 63823 a composite number? False Is 12745483 a composite number? False Is 41626379 a composite number? False Is 11711743 a prime number? False Is 37202411 composite? True Is 234645377 a prime number? True Is 53428021 prime? True Is 2659541 prime? False Is 5956337 a composite number? False Is 2035667 composite? False Is 133464817 a composite number? False Is 1493249 a prime number? True Is 199770339 composite? True Is 6432179 composite? True Is 274129 composite? True Is 203182937 prime? True Is 21706283 composite? True Is 827677 prime? True Is 1277599 composite? True Is 3716617 a prime number? True Is 524527 a composite number? True Is 48812977 a composite number? False Is 190771981 prime? False Is 464887 a prime number? False Is 27134383 prime? True Is 13813229 prime? False Is 3251333 a prime number? True Is 292370747 a composite number? False Is 7759567 a composite number? True Is 9479611 prime? False Is 181399033 composite? False Is 63549041 a composite number? False Is 17002833 prime? False Is 954289033 a composite number? True Is 657191839 prime? False Is 23892695 a prime number? False Is
{ "pile_set_name": "DM Mathematics" }
t replacement from {b: 1, k: 1, h: 2, f: 2, x: 7, m: 1}. Give prob of picking 1 x, 1 f, and 2 b. 0 What is prob of picking 1 w and 1 f when two letters picked without replacement from wwwfwwjwwwiwii? 9/91 What is prob of picking 2 g and 1 u when three letters picked without replacement from {u: 4, g: 3, d: 1}? 3/14 What is prob of picking 1 g and 2 e when three letters picked without replacement from {f: 1, t: 5, g: 1, e: 5}? 1/22 Three letters picked without replacement from phhhhhhhhhpphp. Give prob of picking 1 h and 2 p. 15/91 Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 2, d: 1, x: 3, z: 4}. 2/45 Two letters picked without replacement from {d: 5, h: 13}. Give prob of picking 2 h. 26/51 Two letters picked without replacement from wwyywwyywyywywwwyyyy. What is prob of picking 1 w and 1 y? 99/190 Three letters picked without replacement from bsbbbbbbbbbbsbbsss. Give prob of picking 3 s. 5/408 Two letters picked without replacement from whhfhhhhhwhhbhhhh. What is prob of picking 1 b and 1 f? 1/136 Three letters picked without replacement from {i: 1, k: 1, r: 1, v: 1, x: 1}. Give prob of picking 1 k, 1 i, and 1 v. 1/10 Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {j: 3, k: 13}. 13/40 Two letters picked without replacement from oxxxttxtxtox. Give prob of picking 1 o and 1 x. 2/11 Calculate prob of picking 3 s when three letters picked without replacement from sssrrsssss. 7/15 Two letters picked without replacement from pmzqzzpzzpzqppppmp. Give prob of picking 1 q and 1 z. 4/51 Four letters picked without replacement from xxxxxxxxxx. Give prob of picking 4 x. 1 What is prob of picking 2 b, 1 v, and 1 o when four letters picked without replacement from {o: 1, s: 1, b: 3, u: 1, v: 1}? 3/35 Two letters picked without replacement from {r: 9}. What is prob of picking 2 r? 1 What is prob of picking 2 f when two letters picked without replacement from zff? 1/3 What is prob of picking 1 d and 2 a when three letters picked without replacement from {b: 2, q: 1, a: 4, d: 3}? 3/20 Two letters picked without replacement from unvnnnvnnn. Give prob of picking 1 u and 1 v. 2/45 What is prob of picking 3 x when three letters picked without replacement from {o: 11, x: 9}? 7/95 Three letters picked without replacement from {k: 2, w: 2, t: 5, h: 2, c: 1, i: 1}. What is prob of picking 1 k, 1 w, and 1 h? 4/143 Calculate prob of picking 1 r and 1 t when two letters picked without replacement from ttrrttt. 10/21 What is prob of picking 1 h and 1 y when two letters picked without replacement from tbthtybtbbtttthbu? 1/68 What is prob of picking 2 e and 2 o when four letters picked without replacement from oommooeoomme? 1/33 Three letters picked without replacement from {n: 10, k: 8, v: 1}. What is prob of picking 2 k and 1 n? 280/969 Three letters picked without replacement from ocyoyccnycy. What is prob of picking 2 o and 1 y? 4/165 Calculate prob of picking 1 b and 3 g when four letters picked without replacement from {g: 8, x: 2, b: 2, m: 1, j: 1}. 16/143 Two letters picked without replacement from vvikvvivvii. Give prob of picking 1 i and 1 k. 4/55 Three letters picked without replacement from {l: 15, a: 5}. Give prob of picking 1 l and 2 a. 5/38 Two letters picked without replacement from {k: 9, g: 11}. What is prob of picking 1 k and 1 g? 99/190 Four letters picked without replacement from {y: 2, o: 3, e: 6, s: 4, z: 1}. What is prob of picking 3 o and 1 y? 1/910 Calculate prob of picking 1 o and 2 f when three letters picked without replacement from foffffoff. 1/2 Two letters picked without replacement from mmmpffmmmmmxmpmmmmmy. What is prob of picking 1 y and 1 m? 7/95 Three letters picked without replacement from syyyyyyyyyjjyysyejj. What is prob of picking 1 e and 2 s? 1/969 Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbbbbbbwbbbbbb. 4/5 Three letters picked without replacement from wyllslfhlyfhyy. Give prob of picking 1 s, 1 w, and 1 h. 1/182 Calculate prob of picking 2 a, 1 h, and 1 z when four letters picked without replacement from zhaanahannnazah. 6/91 Three letters picked without replacement from knkkkkkokckokock. Give prob of picking 1 n, 1 k, and 1 c. 1/28 What is prob of picking 1 u and 1 o when two letters picked without replacement from {o: 3, u: 3}? 3/5 Three letters picked without replacement from {l: 3, x: 9}. What is prob of picking 3 x? 21/55 Two letters picked without replacement from kvbbbtvxbxkx. What is prob of picking 1 t and 1 b? 2/33 What is prob of picking 1 i and 1 h when two letters picked without replacement from {f: 2, h: 4, q: 2, i: 12}? 24/95 Three letters picked without replacement from {m: 7, s: 2, q: 9}. What is prob of picking 1 q and 2 s? 3/272 What is prob of picking 1 m, 2 l, and 1 i when four letters picked without replacement from {i: 5, k: 1, q: 4, l: 9, m: 1}? 12/323 Calculate prob of picking 2 x, 1 r, and 1 f when four letters picked without replacement from fyexexxyxiry. 2/165 Three letters picked without replacement from {m: 5, b: 5}. What is prob of picking 1 b and 2 m? 5/12 What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 1, j: 3, i: 2, e: 6, c: 2}? 3/91 What is prob of picking 2 a and 2 t when four letters picked without replacement from {t: 5, p: 4, x: 1, a: 2, q: 1, o: 2}? 2/273 Calculate prob of picking 3 h when three letters picked without replacement from {u: 3, h: 11, i: 2, d: 3}. 55/323 Two letters picked without replacement from kovhsos. What is prob of picking 1 h and 1 o? 2/21 Calculate prob of picking 2 l and 2 n when four letters picked without replacement from llnnnnnnlnl. 21/55 What is prob of picking 1 v and 1 s when two letters picked without replacement from {v: 11, s: 1}? 1/6 What is prob of picking 1 n and 1 h when two letters picked without replacement from {v: 3, m: 1, h: 4, k: 1, n: 6}? 8/35 Three letters picked without replacement from ttettettttte. Give prob of picking 1 e and 2 t. 27/55 What is prob of picking 2 e and 1 d when three letters picked without replacement from {i: 2, c: 2, e: 3, d: 2}? 1/14 What is prob of picking 1 p and 2 w when three letters picked without replacement from ppwpwpwwwwpp? 9/22 Calculate prob of picking 4 j when four letters picked without replacement from jjjjjj. 1 What is prob of picking 1 n and 2 k when three letters picked without replacement from {n: 6, k: 7}? 63/143 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 1, j: 1, o: 3, u: 3, z: 2}. 1/15 Calculate prob of picking 1 l, 2 t, and 1 a when four letters picked without replacement from {a: 10, t: 3, j: 4, l: 1}. 1/102 Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, w: 1, p: 2, n: 4}. 1/36 Calculate prob of picking 3 y and 1 i when four letters picked without replacement from {y: 5, i: 9}. 90/1001 Three letters picked without replacement from cikciigiigiigick. What is prob of picking 1 k, 1 g, and 1 i? 3/35 Three letters picked without replacement from ywxyyxwkkwwyw. Give prob of picking 1 y, 1 x, and 1 k. 8/143 Three letters picked without replacement from {o: 3, t: 4, g: 3, p: 2, z: 4}. What is prob of picking 1 p, 1 t, and 1 g? 3/70 Four letters picked without replacement from ldidlillilillddi. Give prob of picking 3 l and 1 d. 1/13 What is prob of picking 1 l and 2 h when three letters picked without replacement from {h: 3, r: 1, w: 1, n: 4, l: 9}? 9/272 Two letters picked without replacement from {r: 3, m: 1, u: 1, d: 5}. Give prob of picking 1 d and 1 r. 1/3 Two letters picked without replacement from dollddlsdpslxldlsd. What is prob of picking 2 s? 1/51 Calculate prob of picking 2 a when two letters picked without replacement from kaahaaakhkhkakkhhn. 5/51 Two letters picked without replacement from ytvwlyllwllwly. What is prob of picking 1 t and 1 v? 1/91 Calculate prob of picking 2 e, 1 v, and 1 k when four letters picked without replacement from vnnenevveeekveeoveen. 12/323 Calculate prob of picking 1 f, 2 c, and 1 x when four letters picked without replacement from xzttccccffccxztct. 3/85 Calculate prob of picking 3 c and 1 p when four letters
{ "pile_set_name": "DM Mathematics" }
factors of j. 7, 71 Suppose 0*g = -4*m - 2*g + 3888, 972 = m + 3*g. List the prime factors of (m/(-27))/(-1 - 10/(-14)). 2, 3, 7 Let l(a) = a**3 - 7*a**2 + 3. Let z be l(7). Suppose 20 = -4*o, 3*x = -o - z*o + 211. What are the prime factors of x? 7, 11 Suppose 0 = -2*l - 90 - 114. Let u = l + 159. What are the prime factors of u? 3, 19 List the prime factors of (-2 + 17)*(-2 + 78 + 9). 3, 5, 17 Suppose -23714 - 8472 = -14*p. What are the prime factors of p? 11, 19 Suppose 4*c - c = 6. Suppose 2*u + c*u = 5*k - 252, -u + 210 = 4*k. List the prime factors of k + -1 + -2 + 6. 5, 11 Let h be 4/18 - 64/(-36). Let k be 12*-1*h/(-4). Suppose 0 = 3*c - k*c + 75. What are the prime factors of c? 5 What are the prime factors of 101472/896 + (-2)/8? 113 List the prime factors of 15 - -583 - (-14)/2. 5, 11 Let i(l) = 9*l - 63. Let t(j) = 13*j - 94. Let g(d) = 7*i(d) - 5*t(d). List the prime factors of g(-22). 73 Let t = 2131 - 502. What are the prime factors of t? 3, 181 What are the prime factors of (11660/(-66))/(3/(-72))? 2, 5, 53 Let w(h) = 3*h**3 - 6*h**2 - 3*h - 2. Let n be w(5). Suppose -5*l + n = -l. List the prime factors of l. 2, 13 Suppose -4*i - i + 13 = -3*g, i = -4*g + 21. Let f = -3 + 3. Suppose f = 5*z - g*z - 61. List the prime factors of z. 61 Let g = 46 + -54. Let b = 53 + g. List the prime factors of b. 3, 5 Let z = -48 - -16. Let r = z + 101. What are the prime factors of r? 3, 23 Suppose 0 = 2*v + 5*v - 21. Suppose v*x = 2*x. Suppose 5*f + 20 = x, -2*q + 5*f + 35 = -31. List the prime factors of q. 23 Let b(m) = 1 - 3*m - 6*m + 2. Let a be 3/(-2) - 13/26. List the prime factors of b(a). 3, 7 Let d(h) = 39*h - 7. Let n be d(2). Suppose -276 = -f - n. Suppose 2*u = 5*u + 9, 5*u - f = -4*w. List the prime factors of w. 5, 11 Let u = -81 + 79. What are the prime factors of (-3 - -313)/(u + 2 + 2)? 5, 31 Suppose 6 = -2*p, 4*b + 5*p - 40 = p. Let s(t) = -t**2 + 13*t + 2. Let x be s(b). List the prime factors of x/(-4) - 273/(-14). 19 Let k be ((-22)/(-3))/((-10)/(-15)). Let w = k + -8. List the prime factors of -1*(-9 - -3) + w. 3 Let t(i) = 5*i**3 - i**2 - i + 2. Let c be t(2). Suppose 0 = u - 4*u + c. List the prime factors of ((-9)/u)/(1/(-4)). 3 Suppose -2560 = -5*b - 2*x, 2*x - 1040 = -2*b - 2*x. Suppose -4*t = -t - b. Suppose -4*d + 3*a + t = 0, 112 = 2*d - 4*a + 32. What are the prime factors of d? 2, 11 List the prime factors of (-12369)/(-5) - ((-426)/30 - -14). 2, 1237 Let g be (-135)/20 + (-1)/4. What are the prime factors of g*2*(-7)/8*8? 2, 7 Let q be 174/2 + -4 + 3. Suppose -q = 31*b - 32*b. What are the prime factors of b? 2, 43 Suppose 14*d = 4*k + 10*d - 4184, 3*k - d = 3146. List the prime factors of k. 2, 3, 5, 7 Let c be 32/128 - 50/(-8)*-1. List the prime factors of 146/3 + c/9. 2, 3 List the prime factors of 132/(535/(-45) - -12). 2, 3, 11 Suppose 0 = 3*s + n - 28, 41 = 4*s - n - 1. Let t(y) = y - 8. Let c be t(s). Suppose -2*j = c*j - 68. What are the prime factors of j? 17 Let u be (8/(-18))/(16/(-72)). Suppose -u*f + 4*v - 154 = -7*f, v - 151 = -5*f. What are the prime factors of f? 2, 3, 5 Suppose 2*d + 44 = -2*d. Let g be d/(-3) - (-10)/30. What are the prime factors of g - (-2 + -8 + -1)? 3, 5 Let v(k) = 20*k**3 - 3*k**2 - k - 3. What are the prime factors of v(3)? 3, 13 Let a(h) = h + 4. Let j be a(-4). Suppose j*v - 6*v + 918 = 0. What are the prime factors of v? 3, 17 Suppose 2*w = 4*c - 16, w - 28 = 4*w - 2*c. Let x(s) = 34*s. Let j be x(w). List the prime factors of (-2)/(-3) - j/30. 2, 3 Let r be -2*(-1 + 12/8). Let x = -1 + r. Let g(l) = -7*l + 1. List the prime factors of g(x). 3, 5 Let r(w) = -248*w + 19. List the prime factors of r(-2). 5, 103 Suppose -4205 = -2*y + v, 5*y - 7737 = v + 2771. What are the prime factors of y? 11, 191 Let u(v) = -7 + 5*v + 2*v - 6. Let w(x) = x**2 - 2*x - 89. Let m be w(11). List the prime factors of u(m). 3, 19 Let f(r) = 5*r**3 + 11*r**2 - 12*r + 6. List the prime factors of f(5). 2, 3, 47 Let s = 8 + -8. Suppose c = y + 3, s*y + c - 9 = 3*y. What are the prime factors of 9 - -13 - (0 - y)? 19 Let h(t) = t**2 - 8*t + 3. Let s be h(8). Suppose -3*d = 2*z + 11, -2*z - 2*d = -0*d + 6. List the prime factors of z*3*s/2. 3 Let m(c) = -c**3 - 6*c**2 - 7. Let f be m(-6). Let w(i) = i**3 + 6*i**2 - 7*i + 7. Let j be w(f). Suppose 0 = -2*x + j + 5. List the prime factors of x. 2, 3 Let b = 6 + -13. Let o = b - -12. Suppose -4*l = -o*l + 13. List the prime factors of l. 13 Let t = -1181 - -2729. What are the prime factors of t? 2, 3, 43 Let m(i) = -96*i + 14 + 38 - i**2 + 94*i. List the prime factors of m(0). 2, 13 Let w = 38 + -32. Suppose w*p = -p + 28. What are the prime factors of p? 2 Let f(u) = 40*u - 76. What are the prime factors of f(14)? 2, 11 Let r = -280 + 729. List the prime factors of r. 449 Let r be 1305/35 - 2/7. Let w = 20 + 37. Let j = w - r. List the prime factors of j. 2, 5 Let h = -297 - -426. Let x = h - 36. What are the prime factors of x? 3, 31 Let c be (-1 + -5)/((-75)/(-20) + -3). List the prime factors of 11/((2/c)/(6/(-4))). 2, 3, 11 Let x = 4026 - 1694. List the prime factors of x. 2, 11, 53 Suppose 11*j + 4770 = 26*j. List the prime factors of j. 2, 3, 53 Let m = 418 - 267. Let b = m - 45. List the prime factors of b. 2, 53 Let s be (-143)/(-33) + 4/6. Let h(w) = -w**3 + 7*w**2 - 3*w - 5. List the prime factors of h(s). 2, 3, 5 Let l(v) = -4*v**3 - 19*v**2 - 4*v - 29. List the prime factors of l(-10). 2111 Suppose 0 = -0*v - 4*v. Let y(o) = 3*o + 40. List the prime factors of y(v). 2, 5 Suppose 1193 + 2679 = 8*z. What are the prime factors of z? 2, 11 Let t = -2456 - -3587. List the prime factors of t. 3, 13, 29 Suppose 4*g = -c - 121, -4*g + 7*c - 136 = 3*c. Suppose -5*b = 3*u + 274, -2*b - 2*b - 234 = -5*u. Let f = g - b. List the prime factors of f. 5 Let d = -27 + 36. Let p = -10 + d. What are the prime factors of (p - -46) + (8 - 10)? 43 Let a = -7104 - -10080. List the prime factors of a. 2, 3, 31 What are the prime factors of 93 + 27 - 6/(-1)? 2, 3, 7 Let i be (0 - -8)/1*(-18)/(-24). Let g = 25 - i. List the prime factors of g. 19 Suppose 5*b - 4*w = -987, 2*b + 4*w + 963 = -3*b. List the prime factors of b/(-4) + 3/12. 7 Let w(n) = n**3 + 13*n**2 - 16*n - 26. Let s be w(-14). What are the prime factors of (-2220)/(-15) + s + 0? 2, 3, 5 Let u be 12/(-10)*40/(-12). Suppose 4*f + 0*f - 36 = -u*n, 4*f - 46 = -5*n. Let l = n + 9. List the prime factors of l. 19 Let b = 2385 - 826. List the prime factors of b. 1559 Let g = 1393 + 417. What are the prime factors of g? 2, 5, 181 Suppose 0 = -s + 3*m + 554, 0*m = 5*s + 4*m - 2732. Suppose 6*d = s + 238. List the prime factors of d. 131 Let m be -1*2 + 8 + -2. Suppose 80 + 54 = 4*u + 2*i, -4*i - 152 = -m*u. Suppose -5 = 5*s - u. List the prime factors of s. 2, 3 Suppose 2*y - 2*u = 6, 3*y = 5*y + 3*u + 9. Suppose -3*c + 5*m + 416 = y, 5*c + 2*m - 664 = 3*m. What are the prime factors of c? 2, 3, 11 Let d(q) = -q**3 - 16*q**2 - 15*q + 3. Let t(k) = k**3 - 6*k**2 - 4*k + 9. Let f be t(6). Let b be d(f). Let u(y) = y + 3. List the prime factors of u(b). 2, 3 Let j = 912 - 248. Suppose 0 = -6*z + 230 + j. What are the prime factors of z? 149 Let q = 1147 + -706. List the prime factors of q. 3, 7 List the prime factors of ((-1469)/52)/(1/(-16)). 2, 113 Suppose 35*g = 14690 + 6205. What are the prime factors of g? 3, 199 Let p = 220 + 698. List the prime factors of p. 2, 3, 17 Let x(i) = -1549*i + 168. What are the prime factors of x(-2)? 2, 23, 71 Let j = -5741 + 8751. List the prime factors of j. 2, 5, 7, 43 Suppose -3*g - 3 = b, 3 = -0*b + 3*b + 3*g. Let c be 12/4*56/6. Suppose -3*h = -12, 2*h - 126 = -b*o - c. What are the prime factors of o? 2, 3, 5 Let o(r) = -r + 26. Let k be o(19). Suppose -3*y + k*y - 1096 = 0. List the prime factors of y. 2, 137 Let q(z) = 2*z**3 - 4*z**2 - z + 4. Let r = 9 - 6. What are the prime factors of q(r)? 19 Let j = 10 - 7. Let p be -4 + j + 1 + 0. Suppose p = m - u - 27, -3*m - 3*u = -0*u - 51. List the prime factors of m. 2, 11 Let o(j) = 119*j**2 + 49*j + 29. What are the prime factors of o(-5)? 31, 89 Suppose -23*x - 2*x + 15950 = 0. List the prime factors of x. 2, 11, 29 Suppose -g + 47 - 35 = 0. Suppose k = 0, k - 3*k = v + 9. Let d = g + v. List the prime fact
{ "pile_set_name": "DM Mathematics" }
54 a factor of 120618036? True Does 46 divide 590423432? True Is 49748027 even? False Is 104933220 a multiple of 60? True Does 12 divide 813882933? False Is 639492208 a multiple of 328? False Is 3 a factor of 13048156? False Is 7014306 a multiple of 193? False Does 19 divide 16091404? True Is 15627904 a multiple of 66? False Is 18 a factor of 434441412? True Is 54082968 a multiple of 12? True Does 411 divide 191379004? False Is 91 a factor of 202657? True Is 4 a factor of 227685? False Is 60312240 a multiple of 48? True Does 110 divide 20333562? False Is 270851847 a multiple of 2373? True Is 7731587 a multiple of 1252? False Is 8843509 a multiple of 3? False Is 95176890 a multiple of 270? True Does 251 divide 46527633? False Is 2277395727 a multiple of 691? True Is 14747214 a multiple of 60? False Does 545 divide 304325057? False Is 5 a factor of 128031451? False Does 193 divide 317672251? False Is 121026252 a multiple of 258? True Is 47 a factor of 1075744844? False Is 106 a factor of 2058324960? True Is 43 a factor of 1717983042? True Is 1596624 even? True Is 154478641 a multiple of 7? False Is 261 a factor of 52037460? False Does 33 divide 102010887? True Is 10 a factor of 33466444? False Is 172768728 a multiple of 290? False Does 12 divide 22784040? True Is 1069528515 a multiple of 55? True Does 225 divide 26579314? False Is 3743337326 a multiple of 409? True Is 182538819 a multiple of 279? True Is 98268540 a multiple of 610? False Does 37 divide 1281159063? False Does 33 divide 10889772? False Is 144936704 a multiple of 22? True Is 114664575 a multiple of 647? True Does 733 divide 192894026? False Is 235257760 a multiple of 16? True Is 31147800 a multiple of 8? True Does 183 divide 16733520? True Is 40397514 a multiple of 101? False Is 71 a factor of 41508659? True Is 1139416320 a multiple of 1552? True Is 33514150 a multiple of 229? True Is 233753884 a multiple of 38? True Does 263 divide 246788417? True Is 3313108608 a multiple of 16? True Does 641 divide 92482198? True Is 287835338 a multiple of 14? True Does 1267 divide 693203574? True Is 129 a factor of 385636857? True Does 303 divide 38550387? True Is 11075011 a multiple of 71? False Does 10 divide 3650819886? False Is 117 a factor of 1635844? False Is 8 a factor of 64714360? True Is 64 a factor of 62981504? True Does 436 divide 22163188? True Is 45 a factor of 26896050? True Is 50 a factor of 2433895? False Does 3677 divide 1824018624? False Is 54820836 a multiple of 14? True Is 11 a factor of 127899497? True Is 1428701488 a multiple of 2162? True Is 2394460678 a multiple of 3841? False Is 1991 a factor of 22095800? False Is 484371560 a multiple of 20? True Is 212 a factor of 13879428? True Does 951 divide 602660112? True Is 88 a factor of 971501608? True Is 20372085 a multiple of 285? True Is 32343476 a multiple of 1972? False Is 669618324 a multiple of 14829? True Does 7 divide 66416847? True Is 16581382 a multiple of 22? False Is 219 a factor of 5219646? True Is 14 a factor of 36144036? False Is 613994499 a multiple of 603? True Is 22611958 a multiple of 75? False Is 39844391 a multiple of 9? False Is 259860521 a multiple of 373? True Is 101 a factor of 725519245? False Is 30 a factor of 741278545? False Is 969162033 a multiple of 18? False Does 154 divide 384608332? False Does 14 divide 16248750? True Is 10 a factor of 147880800? True Does 1058 divide 26268024? True Is 44132792 a multiple of 290? False Does 15 divide 1213228290? True Does 13 divide 24263912? False Is 276 a factor of 2695035672? True Is 45489950 a multiple of 146? True Does 20 divide 64852320? True Does 26 divide 30389918? True Is 39513357 a multiple of 19? False Does 273 divide 38556670? False Is 136479624 a multiple of 716? True Does 9 divide 9842? False Is 19 a factor of 118086577? True Is 78211632 a multiple of 16? True Is 64888902 a multiple of 78? True Does 2011 divide 9226978? False Is 8145 a factor of 57845790? True Does 51 divide 29205762? True Is 524166746 a multiple of 34? True Is 8 a factor of 503491715? False Is 4470691 a multiple of 547? False Is 3 a factor of 2010699? True Is 2374063129 a multiple of 247? False Is 405707280 a multiple of 182? False Is 87954300 a multiple of 276? True Is 161771150 a multiple of 5959? False Is 45515000 a multiple of 467? False Does 13 divide 11564756? False Is 6205 a factor of 3417739605? False Does 3013 divide 812672386? True Does 2181 divide 3245328? True Is 63 a factor of 7700154? False Is 7098 a factor of 941854914? True Is 71 a factor of 29423252? True Is 13 a factor of 2527385588? True Is 14 a factor of 39118576? True Does 563 divide 10146386? True Is 3800608 a multiple of 376? True Is 1704827625 a multiple of 15? True Is 1411988664 a multiple of 33? False Does 11 divide 210507198? True Does 985 divide 128811406? False Is 236 a factor of 1952428? True Is 394333552 a multiple of 2231? False Does 269 divide 468514341? True Is 337243411 a multiple of 94? False Does 25 divide 218687491? False Does 33 divide 309272784? False Is 1292 a factor of 279698249? False Is 15775397 a multiple of 4? False Is 32 a factor of 40514476? False Does 115 divide 2700152204? False Does 502 divide 1868620704? True Is 509 a factor of 9901068? True Does 21 divide 3976769370? True Is 332955727 a multiple of 13? True Does 60 divide 4057339? False Is 62 a factor of 291588641? False Is 174 a factor of 381811? False Does 5734 divide 429872246? True Does 413 divide 1903730934? True Is 431 a factor of 477738890? False Is 253490028 a multiple of 12? True Is 1410 a factor of 489575970? True Is 1006 a factor of 13634318? True Does 16 divide 69580905? False Is 4378 a factor of 111914814? True Is 470625712 a multiple of 231? False Is 2044 a factor of 532425828? False Is 7 a factor of 11165749? True Is 1336 a factor of 92791880? True Does 2 divide 20041054? True Does 1388 divide 40891868? True Is 17 a factor of 2677263777? False Is 966 a factor of 18273822? True Is 14 a factor of 56172895? False Does 2223 divide 743911389? True Is 21789906 a multiple of 248? False Is 8411 a multiple of 13? True Is 5952001 a multiple of 152? False Is 49 a factor of 120411424? True Is 985 a factor of 10979795? True Does 111 divide 41993216? False Is 27929853 even? False Does 24 divide 160577952? True Is 80 a factor of 616677280? True Is 26 a factor of 231952682? True Is 46 a factor of 5048910311? False Is 14 a factor of 12306367? False Is 159 a factor of 106612680? True Is 4360823040 a multiple of 8960? True Is 183222468 a multiple of 11? True Is 3904 a factor of 1782643743? False Does 252 divide 10293962? False Does 23 divide 32693560? False Does 1168 divide 68651536? True Is 206 a factor of 20437384? False Is 10642633 a multiple of 47? True Does 89 divide 14315905? False Is 3063302548 a multiple of 66? False Is 259 a factor of 306942195? True Is 77 a factor of 39641525? True Is 37 a factor of 7488319? True Is 445 a factor of 195232180? True Is 60 a factor of 637298100? True Is 22 a factor of 178453919? False Is 8 a factor of 432937149? False Is 133403366 a multiple of 16? False Does 32 divide 61003584? True Is 504934 a multiple of 17? True Is 190910305 a multiple of 2981? False Does 12 divide 129709716? True Does 21 divide 3569636700? True Does 8950 divide 1736783300? True Is 103 a factor of 1851943654? False Does 24 divide 77411664? True Does 63 divide 39558141? True Does 167 divide 218406964? False Is 376 a factor of 189134414? False Is 243352893 a multiple of 33? False Is 136 a factor of 6886597799? False Does 2197 divide 291283585? False Is 1233 a factor of 14924093? False Is 2581 a factor of 1023459276? False Does 47 divide 635600935? False Is 39083447 a multiple of 229? False Does 5 divide 2405425? True Is 324 a factor of 21306240? True Is 17507270 a multiple of 8? False Does 33 divide 364122462? True Does 7 divide 3668013? False Is 57970017 a multiple of 791? True Is 48029762 a multiple of 1712? False Is 1117 a factor of 778242005? False Is 44 a factor of 18161148? False Does 1782 divide 32837495? False Does 95 divide 102181620? True Is 1569 a factor of 197242128? True Is 663 a factor of 1015813461? True Does 10 divide 3962340? True Does 237 divide 10349799? False Does 8 divide 12553371? False Does 1302
{ "pile_set_name": "DM Mathematics" }
the second derivative of 32*l*u*v**2 + l*u*y**2 - l*u*y - 156*l*u - 3*l*v**2*y**2 + 2*l*v*y**2 - u*v**2*y - 2*u*v wrt v? 64*l*u - 6*l*y**2 - 2*u*y Differentiate 6608*r + 7701 with respect to r. 6608 What is the first derivative of -54*u**4 + 29*u - 5451? -216*u**3 + 29 Differentiate -28*a*o**3 + 588*o**3 wrt a. -28*o**3 Find the third derivative of 2051*g**3 + 2*g**2 - 4023. 12306 Find the second derivative of 4554*z**4 + z**3 + z**2 - 6565*z wrt z. 54648*z**2 + 6*z + 2 Differentiate 1611*w - 3518 wrt w. 1611 What is the third derivative of 429*i**3 - 28*i**2 + 23*i? 2574 Differentiate 3*g*s**2 + 85*g*s - 1451*g + 8*s**3 - 2*s**2 - 9 with respect to s. 6*g*s + 85*g + 24*s**2 - 4*s What is the derivative of 381*i + 150? 381 Find the second derivative of 12*h*p**2 - 56*h*p - h + 6*p**2 + 2*p - 2 wrt p. 24*h + 12 Differentiate 2151*p - 840 wrt p. 2151 What is the second derivative of 1407*t**5 - 1330*t wrt t? 28140*t**3 What is the third derivative of 2*f*h*u**2*x + 5*f*h*u*x**3 - 2*f*h*u*x**2 + 5*f*u**2*x**3 + 3*f*u**2 + 4*f + 2*u**2*x**3 - u**2*x**2 wrt x? 30*f*h*u + 30*f*u**2 + 12*u**2 What is the derivative of -362*k + 2471 wrt k? -362 Differentiate -2*h**3*n**2 - h**3*n + 441*h**3 - 82*h*n**3 wrt n. -4*h**3*n - h**3 - 246*h*n**2 What is the first derivative of -4*c*r**3*s + 4*c*r**3 - 2*c*r - c*s - 104*r**3*s + 4*r**3 + 2*r**2 wrt s? -4*c*r**3 - c - 104*r**3 Find the third derivative of 3*a**4*n**3 + 75*a**3*n**3 + a**3 - 42*a**2*n**3 + 2*a**2*n - a wrt a. 72*a*n**3 + 450*n**3 + 6 What is the second derivative of -131*g**2*h + 44*g*h + 3*h wrt g? -262*h What is the derivative of -20*b**2*c**3 + 2*b**2 + b*c**2 - 150*c**3 wrt b? -40*b*c**3 + 4*b + c**2 What is the second derivative of 126*d*h**4 - 10*d*h**3 - d + 2*h - 45 wrt h? 1512*d*h**2 - 60*d*h Find the first derivative of -l**2*t + 56*l**2 - 53*l + 6568*t wrt l. -2*l*t + 112*l - 53 Differentiate 3*a**3*r**3 - 4*a**3*r*z - 9*a*r**3*z + 22*a*r**3 + a*r wrt z. -4*a**3*r - 9*a*r**3 Find the second derivative of 10*d**5 - 62*d**2*f**3 + 17*d*f**3 - 9*f**2 wrt d. 200*d**3 - 124*f**3 What is the first derivative of -72*h**2 + 90 wrt h? -144*h Find the first derivative of 3*i*p**2 + 42*i*p*z**2 + i*z**2 - 404*i*z - 2*p**2*z wrt p. 6*i*p + 42*i*z**2 - 4*p*z What is the third derivative of -167*d**5*q**2 + d**2*q - d - q**2 wrt d? -10020*d**2*q**2 What is the second derivative of 43*m**3*q**2 + 9*m**2*q**2 + 3*m*q + 19*q**2 + 7*q wrt m? 258*m*q**2 + 18*q**2 Find the second derivative of -m**4*p + 2*m**3*p - 2*m**2*p - 6*m*p + 3*p - 2 wrt m. -12*m**2*p + 12*m*p - 4*p What is the third derivative of 141*j**4*v*y - 2*j**4 - 23*j**3*v**3 - 7*j**2*v - j*v**2 + 5*v**3 - 10*v*y wrt j? 3384*j*v*y - 48*j - 138*v**3 What is the third derivative of 5101*p**6 - 161*p**2 wrt p? 612120*p**3 Find the third derivative of 89*i**4 - 7*i**3 - 15*i**2 + 5*i wrt i. 2136*i - 42 What is the first derivative of 334*a + 298? 334 Find the third derivative of -2*u**6 + 7302*u**3 - 2*u**2 - 549*u + 2 wrt u. -240*u**3 + 43812 What is the first derivative of 103*k**2*y + 2*k*y - 2*y - 315 wrt k? 206*k*y + 2*y Find the second derivative of -16*g**2*j**2 + 2*g**2*j*v + 51*g**2*j - 55*g*j**4 + 4*g*v - j**2*v wrt j. -32*g**2 - 660*g*j**2 - 2*v Find the third derivative of -171*k**3 + 23*k**2 - 3*k wrt k. -1026 What is the first derivative of -76*a*w**2 - 9*a + w**2 - 3 wrt w? -152*a*w + 2*w What is the third derivative of -30*r**4 + 20*r**3 + 4*r**2 - 594 wrt r? -720*r + 120 Find the second derivative of 19699*s**3 - 3*s + 923. 118194*s What is the third derivative of -3*k**4*o**3 - 22*k**4*o**2 + 108*k**2*o - 2*k*o**3 wrt k? -72*k*o**3 - 528*k*o**2 Find the third derivative of -99*b**5*o**2 + 2*b**4*o**2 + 135*b**2*o**2 - b*o - 2*o**2 wrt b. -5940*b**2*o**2 + 48*b*o**2 What is the second derivative of 10*q**3 - 95*q**2 + 7*q - 104? 60*q - 190 What is the third derivative of -12*a**2*c**3*t**3 - 2*a**2*t**2 - a*c**2*t**2 + 7*c**3*t**3 + 5*c**2*t**3 + 2*c**2*t**2 wrt c? -72*a**2*t**3 + 42*t**3 What is the second derivative of 60*a**3 + 2*a**2 - 154*a? 360*a + 4 What is the first derivative of -14*b*l*u - 8*b*l + 2*b*u*x + 4*l*u*x + 17*l*x + 2*u + 2 wrt b? -14*l*u - 8*l + 2*u*x What is the derivative of -74*d*k + 114*k wrt d? -74*k What is the first derivative of -a**3*f - 4193*a**3 + 30*a**2*f*g - 8*a*f - g wrt f? -a**3 + 30*a**2*g - 8*a Find the third derivative of 129*d**4 - 3*d**3*f + 2*d**3 + 7*d**2*f + 49*d*f wrt d. 3096*d - 18*f + 12 What is the third derivative of 5*m**6 + 19*m**3 - 33*m**2 wrt m? 600*m**3 + 114 Find the first derivative of -25*a**3*m + 1933*a**3 - 10*a**2*m - 2*m wrt m. -25*a**3 - 10*a**2 - 2 What is the first derivative of -8*a**3 - 39*a**2 + 829? -24*a**2 - 78*a Find the third derivative of -306*y**5*z + y**4*z**2 + 2*y**2 - 294*z**2 wrt y. -18360*y**2*z + 24*y*z**2 What is the first derivative of -18*x**2 - 2*x + 95? -36*x - 2 What is the third derivative of -40*t**3*u**4 - 30*t**3*u**3 - t**3*u**2 - 2*t**3 + 1724*u**2 wrt u? -960*t**3*u - 180*t**3 Find the second derivative of -247*i*t**3 - i*t + 107*t wrt t. -1482*i*t What is the derivative of 35*j**2*k - 178*j*k**2 - 2*k**2 - 10*k - 9 wrt j? 70*j*k - 178*k**2 Find the third derivative of -12*k*u**4 - 6*k*u**3 + 2*k*u**2 - 44*k*u - u**2 wrt u. -288*k*u - 36*k Find the third derivative of 3822*c**2*u**3 + 530*c**2*u**2 - c**2 + 2*c*u**6 + 4*c wrt u. 22932*c**2 + 240*c*u**3 What is the second derivative of o**2*w**3 - 224*o**2 + 55*w**4 - w wrt w? 6*o**2*w + 660*w**2 What is the first derivative of -4*j**2*o**2 + 11*j**2*o - 399*j**2 + 20*o**4 wrt o? -8*j**2*o + 11*j**2 + 80*o**3 What is the derivative of 11*b**3 + 2*b**2 - 45 wrt b? 33*b**2 + 4*b What is the third derivative of 5741*l**3*s**2 + l**2*s**2 - 3*l*s**2 + 280*s**2 + 2*s wrt l? 34446*s**2 What is the second derivative of -303*w**5 + 3*w - 56 wrt w? -6060*w**3 What is the first derivative of 11*k*s**2*x + 2*k*s**2 - 2*k*s - 211*s**2 + 50*s*x wrt x? 11*k*s**2 + 50*s Find the first derivative of -329*g**2*n**3 + 8*g**2 - n**3 - 4*n**2 - 1256 wrt g. -658*g*n**3 + 16*g Find the third derivative of -p*x**3 + 2*p*x + x**4 + 382*x**3 - 148*x**2 + 7 wrt x. -6*p + 24*x + 2292 What is the second derivative of 152*f**4 - 4*f**3 - 12*f**2 + 49*f + 6? 1824*f**2 - 24*f - 24 Find the second derivative of 18*d**2*n**3*z + d**2*z**2 - 7*d*n**3*z + 5*d*n**3 - 2*d*n**2*z**2 - 3*d*z**2 wrt d. 36*n**3*z + 2*z**2 Differentiate 2934*m**4 - 2604 with respect to m. 11736*m**3 Find the second derivative of 3335*q**4 - 318*q + 7. 40020*q**2 Find the third derivative of 1779*b**3 - 2492*b**2 wrt b. 10674 Find the third derivative of 29*s**6 + 3*s**4 - 47*s**2 wrt s. 3480*s**3 + 72*s What is the third derivative of -12*j**4 - 27*j**3 - 719*j**2 wrt j? -288*j - 162 What is the derivative of 1149*c*l*t**3 - 3*c*l - 601*c + 2*l*t wrt t? 3447*c*l*t**2 + 2*l What is the derivative of -14*m**2*o**2 - 6*m*o**3 - m*o**2 - 4*m - 10*o**3 - 5*o + 17 wrt m? -28*m*o**2 - 6*o**3 - o**2 - 4 What is the third derivative of -78*o**3 + 2*o**2 + 14*o wrt o? -468 Find the third derivative of -8*n**3*w**5 + 2*n**3*w**4 - n**3*w + 3*n**2*w**2 + 18*n*w**2 wrt w. -480*n**3*w**2 + 48*n**3*w Differentiate 140*f*o*w + 2*f*u**3*w + 3*f*u**3 - f*u + 2*f - o*u**2*w - 19*o*u**2 with respect to w. 140*f*o + 2*f*u**3 - o*u**2 Find the third derivative of -571*n**3*p**5 - 494*n**3 + 2*n**2*p**2 - 2*p**5 wrt p. -34260*n**3*p**2 - 120*p**2 Differentiate 65*r**3*s - 868*r**3 + 11*r**2*s wrt s. 65*r**3 + 11*r**2 Find the first derivative of -7*m**2*o**2 - 3133*m**2 + 32*m*o**4 wrt o. -14*m**2*o + 128*m*o**3 Find the third derivative of 3*x**4*z + 63*x**4 + 130*x**2*z - 2*z wrt x. 72*x*z + 1512*x Find the second derivative of 20*t**4 + 512*t. 240*t**2 What is the derivative of 287*u - 349? 287 What is the second derivative of -7*f**3 + 4*f**2 - f - 16? -42*f + 8 What is the third derivative of 3*o**5 + 3635*o**4 - 237*o**2 + 24*o? 180*o**2 + 87240*o Find the third derivative of -9*b**3*g**3*s + 14*b**3*g*k**2*s**3 - 3*b**2*k*s**3 + 2*b*s**3 - 2*g**3*k*s**3 + 7*g**2*k**2*s wrt b. -54*g**3*s + 84*g*k**2*s**3 What is the third derivative of 132*a**3*n**4 - a**3*n**3 - 16*a**3*n**2 - 3*a*n**2 wrt n? 3168*a**3*n - 6*a**3 Find the second derivative of -a*m**5
{ "pile_set_name": "DM Mathematics" }
4729/6. Let a be 2/(-6) + (-4)/6. Is a less than x? False Let c = -37436/9 - -4172. Suppose -49*f + 18*f = -7*f - 312. Is f at least c? True Let c = 1.1 - -9.7. Let r = 9.8 - c. Let y be 63/(-165) + 2/10. Which is bigger: r or y? y Let y = 1 + -0.7. Let k = -58.3 - -59. Let g = y + k. Are g and 11 equal? False Let n = 58.4 - 60. Let g = -0.121 + 1.121. Is g < n? False Let n = 10.1249 - -0.0151. Let j = n - 9.14. Which is greater: j or -12? j Let y = 2337 - 2543. Which is smaller: -0.1 or y? y Let m = -3 + 6. Suppose -m*i + 4*i = 0. Let b = 23.8877 - -0.1123. Which is bigger: b or i? b Let x(y) = 205*y - 400. Let m be x(3). Which is smaller: 208 or m? 208 Let t = -0.36 - 3.37. Let h = -3.73 - t. Which is smaller: h or -0.15? -0.15 Let m = -181 + 237. Let y be ((-3)/(-9))/(1/6). Suppose 52 = 4*j + 5*i, 0 = -4*j - 6*i + y*i + m. Which is smaller: -2 or j? -2 Let k = -111/1484 - -2249719/30037644. Let c be (-15912602)/32142708 - 2/(-4). Let x = c + k. Which is smaller: x or -1? -1 Let y = -0.086 - -0.139. Let d = -0.01 - y. Is 1 <= d? False Let f = 59 + -64. Let y = 0.88 - 5.78. Let v = y - f. Are -1 and v equal? False Let b = 19893/6188 + 61/364. Which is greater: 2 or b? b Let i = 0.2659 + -0.3259. Which is smaller: i or -12? -12 Let u = -180 + 461. Suppose 3*g + z + 296 = 2*g, 0 = -g - 4*z - u. Let k = g - -15353/51. Are k and 0 equal? False Let s = 0 + 3. Let h be (-12)/(((-12)/(-4))/(-3)). Suppose 3*j + h = -3*b, 2*b + 9 - 21 = 2*j. Which is smaller: b or s? b Let y = -0.092 + 13.092. Let b = 12.06 - y. Let o = -1.06 + b. Do o and -1/18 have different values? True Let y(w) = 27*w - 1375. Let c be y(28). Which is smaller: -616 or c? c Suppose 3*y - 72 = -3*y. Let s be (2 + -2)/(-11 + y). Let u = 1.04 - 34.04. Is s greater than u? True Suppose 4*o = -3*q + 2*o + 128, -2*q = -4*o - 80. Suppose -9*a = -6*a + q. Let j be 118/4 + (-7)/a. Are j and 30 nonequal? False Let q(n) = -n**3 - 56 + 723*n - 752*n + 22*n**2 + 10*n**2. Let l be q(31). Which is smaller: l or 78/17? 78/17 Let q(i) = -2*i**2 + 5*i + 111. Let h be q(-5). Is 798/23 > h? False Let a(v) = -7*v**2 + 7*v + 1. Let w(p) = 15*p**2 - 12*p - 3. Let k(t) = -13*a(t) - 6*w(t). Let m be k(13). Is -73 >= m? True Let l = -43139 - -43140. Which is greater: l or -1/1313? l Let x = -117 + 117. Suppose -2*j + 12 = 5*d - 54, -3*j + 5*d + 49 = 0. Is j at most as big as x? False Let t = 315 + -629/2. Which is smaller: 8/11 or t? t Let n(c) = -23*c + 234. Let k be n(9). Let l be (9/k)/(8/(-282)) + 6. Which is greater: -7 or l? l Suppose 0 = 3*x + 2*g + 41, -2*g + 13 = -2*x - 1. Let o = -31 - x. Let v(k) = k**2 - 11*k + 8. Let h be v(6). Which is greater: o or h? o Let w be -1 - 234/(-10) - (-213)/355. Suppose -22*d = w*d + 2070. Which is smaller: -42 or d? d Let n = -1860 - -1861. Is -1/6127 not equal to n? True Let c be (-2 - -2)*((-15)/75)/((-9)/(-15)). Which is bigger: -2/9407 or c? c Let x(r) = -3*r - 11. Let q be x(-9). Suppose q*g - 12*g = -48. Let u be (-122)/8 + g/16. Are u and -18 equal? False Let l = 657 + -656.9. Is -5/478 less than l? True Suppose 82 = 3*b - 107. Let l = -59 + b. Which is smaller: l or 17/6? 17/6 Let k(t) = -11*t + 52. Let w be k(0). Suppose -3*c = 4*z - w, -4*z - c + 27 = -25. Which is greater: z or 10? z Let z = 5210 - 36468/7. Which is bigger: z or -5.2? z Let g be 930/525 + 36/(-20). Suppose -p = f + 3, 5*f + 8 + 7 = -3*p. Is p smaller than g? False Suppose 0 = z - 0*z - 4. Suppose -z*m - 4 = 2*c, 4 = -c - 4*m - 0. Let k = 24/31 - 134/93. Which is greater: k or c? c Let d be (-288570)/(-1092322) - 1/3. Let a = 2/9471 - d. Which is smaller: a or -1? -1 Let j = 272 - 282. Let z be 4*(j/2 + 7). Suppose 0*m + 3*c + 33 = 3*m, 2*c = 0. Which is greater: z or m? m Let p(j) = 4*j**3 + 81*j**2 - 143*j - 87. Let d be p(-20). Which is smaller: 3175 or d? d Let q(j) = 2*j + 77. Suppose 2*l = -0*i + i - 35, -2*i = -l - 25. Let h be q(l). Which is smaller: h or 49? h Suppose -8*g + 183100 = 12*g. Let c = 82490/9 - g. Is c > 12? False Let l(d) = 2*d**3 - d**2 + 3. Let h be l(3). Suppose 0 = 2*k + h + 2. Let y be 2 - (-30)/k*5. Is -4 less than or equal to y? True Let l = -1.16 - -1.3. Let v = 31 + 7. Let c = -113/3 + v. Which is smaller: l or c? l Let k be (-27839)/(-205) - (3 + 22/(-10)). Is k at most 128? False Let z = 1.868 - 2.868. Do z and 3386 have the same value? False Let o = 3272 + -2953. Is o at least 953/3? True Suppose m = 5, -5*d - 5*m = -17 - 23. Suppose 2*v - 418 = 3*u, -d*v + 2*u + u + 621 = 0. Are v and 203 unequal? False Let a(y) = -y**3 - 4*y**2 + 5*y + 1. Let s be a(-5). Suppose 0 = -0*q - q + s. Let l be 8/q - (3 + -7). Which is smaller: 10 or l? 10 Let d = -452 + 452. Suppose d = -5*f + 34*f + 16530. Which is smaller: -571 or f? -571 Suppose 46*z - 45*z + 2*c + 69 = 0, 5*c = 4*z + 237. Which is greater: -6.7 or z? -6.7 Suppose x - 2*l = -151, 0 = -232*l + 233*l + 2. Is -169 at least as big as x? False Let b(c) = 18*c - 24. Let a be b(10). Let v be (-24)/(3/a*4). Let h be (-1)/3 - v/(-9). Is h bigger than -36? True Let c be (3 + 81/(-18))*(-8)/12. Which is bigger: 2/18623 or c? c Suppose 3*g - 4*t - 5492 = 0, -3*g = 2*g + 4*t - 9164. Let s = 53138/29 - g. Which is smaller: s or -0.1? -0.1 Let i = -5.2 + -89.8. Let r = i + 98. Let d = -2 + r. Is -1 less than d? True Let p be (-12)/23*((-198)/(-27) - 6) + 7. Is 6 >= p? False Let k = -881 + 858.09. Let h = 23 + k. Suppose -4 = -y - q, -2*y - 6 = -3*q - 2*q. Which is greater: h or y? y Let a = -131 + 171. Let y be a/(-6)*((-46)/(-26) - 2). Which is smaller: y or 2? y Suppose -2*r - 2*i = -440, -4*r + 138*i = 139*i - 871. Is 224 greater than or equal to r? True Let d = -281 - -281. Suppose -3*z + 2*t - 114 = d, -9*z - t = -6*z + 123. Do z and -43 have different values? True Let p(k) = -4*k**2 + 15 - 32 + 5*k**2. Let l be p(-5). Let m = -4 - -7. Which is smaller: l or m? m Let r be -7 + 1 + (-1 - -109). Suppose 0 = 12*a + 5*a - r. Let q = 0.2 + 0.1. Is a < q? False Let q be 12208/8 - 75/25. Which is greater: q or 7616/5? 7616/5 Let y(n) = -n**3 - 62*n**2 + 66*n + 187. Let r be y(-63). Which is smaller: -97/47 or r? -97/47 Let x be -21 - (3025/(-215) + -7). Let d be (-2 + 1)*(-2)/5. Which is smaller: x or d? x Let x = -469 + 529. Is 652/11 >= x? False Let v(b) = -b + 5. Let t be v(0). Let u(y) = y**3 - 5*y**2 + 6. Let j be u(t). Suppose -158 = -4*x + 32*x - 298. Which is greater: j or x? j Let g be 2/(-3) - (-208)/852. Let j be ((-156)/(-2262))/(8/580*5). Are j and g equal? False Suppose -9*c - 12*c + 299019 = 0. Suppose 3*g + 26*g = -c. Is -492 < g? True Let h = -20 + 20. Let i be (170/680)/(166/(-24)). Which is smaller: i or h? i Let u(s) = -7*s**2 - 280*s - 76. Let a be u(-31). Is 1881 less than a? False Let i = -1 - -3. Let j be i/3 - 11/12. Let m = 0.0716 + -0.1416. Which is bigger: m or j? m Let h = -69 - -22. Let z(d) = -d**3 + 16*d**2 + 14*d + 4. Let l be z(17). Is l bigger than h? False Suppose -4*j = 3*c - 24, -3*j - c = -2 - 11. Let g be -6 - (j/9)/(6/(-90)). Which is greater: 3/44 or g? 3/44 Suppose -81*m - 5232 = -69*m. Let i = m + 435. Which is greater: 2/85 or i? 2/85 Let x be 0*((-42)/(-9))/14. Is x less than or equal to 44/83? True Let r be (-1 - -21629)*(-1)/4. Which is greater: r or -5408? r Let o = -21889.95 + 21890. Is o greater than or equal to 1/755? True Let t = 2631 + -4467. Which is greater: t or -1835? -1835 Let y = 2356 + -2356. Which is smaller: -67 or y? -67 Let v = 123.02 - 229.02. Let y = -0.2104 - -106.0904. Let l = y + v. Which is greater: 3 or l? 3 Let g be (5*10/25)/((-28)/(-13518)). Let j = 961 - g. Is -4 < j? False Let o(h) = -36*h + 55. Let t be o(-3). Let c = 410 - 247. Is t less than c? False Let h = 196 + -151. Let k be (-1989)/h - (-4)/20. Is k at most as big as -46? False Let l(c) be the first derivative of 5*c**2/2 - 51*c - 13. Let n be l(11). Let p(x) = -x + 3. Let d be p(n). Is d < 56? True Let d(i) = -i + 5. Let g be d(8). Let y(u) = 48*u**2 + 39*u**2 - 80*u**2 - 16*u + 7. Let l be y(3). Which is bigger: l or g? l Let k = -2.21 - 208.79. Let v = -211.1 - k. Which is smaller: v or -214? -214 Let m(i) = 120*i - 500. Let l be m(7). Which is smaller: l or -0.2? -0.2 Let f(z) = -z**2 - 5*z - 1. Let p(b) = -b. Let t(g) = 6*g. Let h(a) = 5*p(a) + t(a). Let l(k) = f(k) + 2*h(k).
{ "pile_set_name": "DM Mathematics" }
? 4:05 PM How many minutes are there between 5:38 PM and 3:37 AM? 599 How many minutes are there between 8:55 PM and 7:15 AM? 620 What is 387 minutes after 2:20 PM? 8:47 PM How many minutes are there between 7:11 AM and 1:45 PM? 394 What is 624 minutes after 4:02 AM? 2:26 PM How many minutes are there between 3:10 PM and 1:07 AM? 597 What is 327 minutes before 7:32 AM? 2:05 AM How many minutes are there between 4:42 AM and 4:22 PM? 700 What is 472 minutes before 11:44 PM? 3:52 PM What is 432 minutes after 10:32 AM? 5:44 PM What is 366 minutes after 4:18 PM? 10:24 PM What is 71 minutes before 8:14 AM? 7:03 AM How many minutes are there between 8:45 PM and 1:50 AM? 305 How many minutes are there between 9:56 AM and 9:40 PM? 704 How many minutes are there between 11:17 PM and 3:51 AM? 274 What is 530 minutes before 7:53 PM? 11:03 AM How many minutes are there between 2:16 PM and 1:47 AM? 691 How many minutes are there between 8:21 PM and 10:02 PM? 101 How many minutes are there between 1:11 PM and 11:10 PM? 599 How many minutes are there between 6:54 AM and 6:41 PM? 707 What is 328 minutes before 8:30 AM? 3:02 AM How many minutes are there between 3:04 AM and 11:54 AM? 530 What is 398 minutes before 1:06 AM? 6:28 PM What is 12 minutes before 9:53 PM? 9:41 PM How many minutes are there between 4:14 AM and 6:20 AM? 126 What is 586 minutes before 6:48 AM? 9:02 PM How many minutes are there between 9:09 PM and 1:34 AM? 265 How many minutes are there between 10:32 PM and 10:17 AM? 705 What is 376 minutes before 1:14 AM? 6:58 PM How many minutes are there between 3:43 PM and 2:29 AM? 646 What is 707 minutes after 8:09 AM? 7:56 PM What is 557 minutes before 3:38 PM? 6:21 AM What is 612 minutes before 6:22 AM? 8:10 PM What is 236 minutes before 3:52 AM? 11:56 PM How many minutes are there between 1:41 PM and 2:25 PM? 44 What is 321 minutes after 1:11 AM? 6:32 AM What is 470 minutes before 12:44 AM? 4:54 PM What is 385 minutes after 7:22 AM? 1:47 PM What is 289 minutes before 3:27 PM? 10:38 AM What is 690 minutes after 12:22 AM? 11:52 AM What is 132 minutes after 2:32 PM? 4:44 PM How many minutes are there between 3:25 PM and 12:32 AM? 547 What is 570 minutes before 10:22 PM? 12:52 PM What is 141 minutes after 12:18 AM? 2:39 AM What is 585 minutes after 1:15 PM? 11:00 PM How many minutes are there between 10:17 PM and 6:28 AM? 491 What is 470 minutes after 5:52 PM? 1:42 AM What is 305 minutes before 10:06 PM? 5:01 PM How many minutes are there between 6:56 AM and 11:52 AM? 296 How many minutes are there between 2:05 AM and 8:39 AM? 394 What is 466 minutes after 12:43 PM? 8:29 PM What is 309 minutes after 11:52 AM? 5:01 PM What is 304 minutes after 8:03 AM? 1:07 PM What is 504 minutes after 4:19 AM? 12:43 PM What is 636 minutes after 2:16 PM? 12:52 AM How many minutes are there between 2:51 PM and 12:04 AM? 553 How many minutes are there between 4:29 PM and 11:38 PM? 429 How many minutes are there between 5:43 PM and 6:59 PM? 76 How many minutes are there between 8:53 PM and 12:16 AM? 203 How many minutes are there between 7:16 PM and 7:26 PM? 10 How many minutes are there between 11:17 AM and 4:08 PM? 291 What is 355 minutes before 4:35 AM? 10:40 PM How many minutes are there between 10:31 PM and 6:23 AM? 472 What is 524 minutes after 8:11 AM? 4:55 PM How many minutes are there between 3:39 PM and 3:53 PM? 14 What is 687 minutes before 4:30 AM? 5:03 PM What is 416 minutes after 2:14 PM? 9:10 PM How many minutes are there between 4:05 AM and 1:21 PM? 556 What is 51 minutes before 6:48 AM? 5:57 AM What is 470 minutes before 5:40 AM? 9:50 PM What is 253 minutes before 4:07 PM? 11:54 AM How many minutes are there between 5:35 PM and 2:33 AM? 538 How many minutes are there between 12:32 AM and 12:11 PM? 699 How many minutes are there between 6:50 PM and 11:02 PM? 252 What is 581 minutes before 6:49 AM? 9:08 PM What is 605 minutes before 12:51 PM? 2:46 AM How many minutes are there between 3:40 AM and 5:41 AM? 121 What is 667 minutes before 2:41 AM? 3:34 PM How many minutes are there between 5:31 AM and 5:33 AM? 2 What is 194 minutes after 3:13 PM? 6:27 PM How many minutes are there between 10:58 PM and 12:30 AM? 92 What is 327 minutes after 3:50 PM? 9:17 PM What is 399 minutes after 10:55 AM? 5:34 PM How many minutes are there between 7:51 AM and 6:55 PM? 664 What is 405 minutes after 3:26 AM? 10:11 AM What is 588 minutes before 9:13 AM? 11:25 PM What is 687 minutes after 10:22 AM? 9:49 PM How many minutes are there between 11:16 PM and 6:35 AM? 439 What is 715 minutes before 6:00 AM? 6:05 PM What is 624 minutes before 9:37 AM? 11:13 PM What is 223 minutes before 8:37 PM? 4:54 PM What is 587 minutes after 10:15 AM? 8:02 PM What is 130 minutes before 8:08 PM? 5:58 PM How many minutes are there between 7:02 AM and 4:34 PM? 572 How many minutes are there between 7:06 PM and 7:48 PM? 42 What is 344 minutes before 10:15 AM? 4:31 AM What is 611 minutes after 4:34 PM? 2:45 AM What is 27 minutes before 10:45 PM? 10:18 PM How many minutes are there between 2:44 AM and 6:48 AM? 244 What is 107 minutes before 10:51 PM? 9:04 PM What is 181 minutes after 7:54 AM? 10:55 AM What is 264 minutes before 1:36 PM? 9:12 AM What is 705 minutes after 1:53 PM? 1:38 AM What is 470 minutes before 3:32 PM? 7:42 AM What is 597 minutes before 3:12 AM? 5:15 PM What is 117 minutes before 1:38 AM? 11:41 PM What is 185 minutes after 6:59 AM? 10:04 AM What is 264 minutes before 10:31 AM? 6:07 AM What is 647 minutes before 8:10 AM? 9:23 PM What is 360 minutes before 3:30 PM? 9:30 AM What is 599 minutes before 8:51 PM? 10:52 AM What is 595 minutes after 8:07 AM? 6:02 PM What is 211 minutes after 3:49 AM? 7:20 AM How many minutes are there between 4:52 AM and 7:25 AM? 153 What is 366 minutes after 10:24 AM? 4:30 PM What is 445 minutes after 1:22 PM? 8:47 PM What is 402 minutes before 6:22 AM? 11:40 PM How many minutes are there between 5:54 AM and 7:10 AM? 76 How many minutes are there between 4:33 PM and 6:20 PM? 107 How many minutes are there between 9:45 AM and 3:59 PM? 374 What is 582 minutes before 12:06 AM? 2:24 PM What is 410 minutes after 1:38 PM? 8:28 PM How many minutes are there between 8:47 AM and 8:59 AM? 12 What is 56 minutes after 5:15 PM? 6:11 PM What is 328 minutes before 3:02 AM? 9:34 PM How many minutes are there between 3:48 PM and 1:39 AM? 591 What is 139 minutes after 9:30 PM? 11:49 PM How many minutes are there between 6:24 AM and 7:23 AM? 59 How many minutes are there between 11:28 PM and 3:38 AM? 250 What is 371 minutes after 8:11 PM? 2:22 AM How many minutes are there between 3:33 PM and 10:45 PM? 432 How many minutes are there between 3:59 AM and 2:16 PM? 617 What is 432 minutes after 5:44 PM? 12:56 AM How many minutes are there between 7:47 PM and 5:31 AM? 584 How many minutes are there between 5:55 AM and 12:45 PM? 410 How many minutes are there between 6:56 AM and 2:44 PM? 468 How many minutes are there between 2:03 PM and 7:47 PM? 344 What is 630 minutes after 5:10 AM? 3:40 PM How many minutes are there between 9:14 PM and 9:50 PM? 36 What is 587 minutes before 4:06 PM? 6:19 AM What is 244 minutes before 4:19 PM? 12:15 PM What is 328 minutes before 2:17 PM? 8:49 AM How many minutes are there between 3:07 PM and 2:27 AM? 680 How many minutes are there between 12:57 AM and 7:11 AM? 374 What is 235 minutes after 7:44 AM? 11:39 AM What is 589 minutes after 1:10 AM? 10:59 AM What is 525 minutes before 4:43 PM? 7:58 AM How many minutes are there between 8:13 PM and 9:05 PM? 52 How many minutes are there between 7:05 AM and 11:35 AM? 270 How many minutes are there between 10:21 AM and 9:16 PM? 655 How many minutes are there between 3:01 PM and 12:08 AM? 547 What is 570 minutes after 11:03 PM? 8:33 AM How many minutes are there between 5:55 PM and 5:50 AM? 715 How many minutes are there between 12:11 AM and 4:26 AM? 255 What is 564 minutes before 4:44 PM? 7:20 AM What is 697 minutes after 9:33 PM? 9:10 AM What is 652 minutes after 2:07 PM? 12:59 AM What is 76 minutes after 9:47 AM? 11:03 AM How many minutes are there between 9:37 PM and 9:17 AM? 700 What is 700 minutes after 1:47 PM? 1:27 AM What is 493 minutes after 4:22 AM? 12:35 PM How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
comes next: -251625, -504283, -756941, -1009599, -1262257, -1514915? -1767573 What is the next term in 2849, 7183, 11517, 15851, 20185, 24519? 28853 What comes next: 58868319, 117736630, 176604941, 235473252, 294341563, 353209874? 412078185 What comes next: 108276, 108127, 107978, 107829, 107680, 107531? 107382 What is the next term in -16783, -17869, -18955, -20041, -21127, -22213? -23299 What is the next term in 5986775, 11973547, 17960319, 23947091, 29933863, 35920635? 41907407 What comes next: 3036, 12139, 27306, 48525, 75784, 109071, 148374, 193681? 244980 What comes next: 62322552, 124645120, 186967688, 249290256, 311612824? 373935392 What is next in -3156325, -6312633, -9468941, -12625249, -15781557? -18937865 What is next in -4234113, -4234045, -4233933, -4233777, -4233577, -4233333, -4233045? -4232713 What is the next term in -36429261, -36429262, -36429263, -36429264, -36429265? -36429266 What is next in 398785, 797550, 1196287, 1594984, 1993629, 2392210? 2790715 What is the next term in -13989, -29298, -45959, -63972? -83337 What comes next: -509300, -509341, -509382? -509423 What is the next term in 366, 3162, 10774, 25590, 49998, 86386? 137142 What is next in -3919421, -3919691, -3919961, -3920231? -3920501 What is next in -361204848, -361204850, -361204852? -361204854 What comes next: -3728, -6240, -7536, -7610, -6456? -4068 What is next in -51895, -52163, -52433, -52705, -52979, -53255? -53533 What comes next: -1296, -6003, -13870, -24909, -39132, -56551, -77178, -101025? -128104 What is next in -6022198, -6022194, -6022188, -6022180, -6022170, -6022158? -6022144 What comes next: 76923, 80203, 85677, 93351, 103231, 115323? 129633 What is next in -41, 320, 689, 1066, 1451, 1844, 2245? 2654 What is the next term in -2289697, -2289522, -2289347, -2289172? -2288997 What is the next term in -2905, -10301, -22179, -38539? -59381 What is next in 734633, 1469501, 2204355, 2939189, 3673997, 4408773, 5143511, 5878205? 6612849 What is the next term in 3075732, 6151454, 9227176? 12302898 What comes next: 43972, 351662, 1186842, 2813260, 5494664? 9494802 What is the next term in -816383, -3265398, -7347083, -13061432, -20408439, -29388098, -40000403, -52245348? -66122927 What is the next term in 4640, 4120, 3600, 3080, 2560, 2040? 1520 What is next in -534595, -1069139, -1603683, -2138227? -2672771 What is next in -64323, -128791, -193259, -257727? -322195 What is next in -569243, -2277724, -5125201, -9111680, -14237167, -20501668? -27905189 What is next in 17536, 49261, 80986, 112711, 144436, 176161? 207886 What is the next term in -12788638, -12788635, -12788632, -12788629? -12788626 What is next in -25945, -26001, -26099, -26239, -26421? -26645 What is next in -5495971, -5495965, -5495959, -5495953, -5495947? -5495941 What is the next term in 54392, 435153, 1468820, 3481901, 6800904, 11752337, 18662708, 27858525? 39666296 What comes next: 40345482, 80690971, 121036478, 161382009, 201727570, 242073167, 282418806, 322764493? 363110234 What is next in -1326123, -1326366, -1326609? -1326852 What comes next: -1874141, -7496571, -16867289, -29986295, -46853589, -67469171, -91833041? -119945199 What is next in 265300, 1059678, 2383640, 4237180, 6620292, 9532970, 12975208, 16947000? 21448340 What is next in 11859745, 23719497, 35579249, 47439001, 59298753? 71158505 What is the next term in 190568, 379698, 568830, 757964, 947100, 1136238, 1325378? 1514520 What comes next: -13752, -20835, -27918, -35001, -42084? -49167 What is the next term in -40997828, -40997831, -40997836, -40997843? -40997852 What is the next term in -375705, -3005646, -10144059, -24045180, -46963245, -81152490, -128867151? -192361464 What is the next term in -6722, -11437, -16142, -20831, -25498, -30137? -34742 What is the next term in -15208791, -30417586, -45626381? -60835176 What is the next term in 718154, 1436073, 2153990, 2871905? 3589818 What is the next term in -259528, -259616, -259704? -259792 What is the next term in 8431, 19525, 36017, 60607, 95995? 144881 What is next in 1050, 1609, 2098, 2481, 2722, 2785? 2634 What is the next term in 9242, 9224, 9216, 9218, 9230? 9252 What comes next: -1483, -2959, -4483, -6073, -7747, -9523? -11419 What comes next: 7800, 31768, 71708, 127614, 199480, 287300, 391068? 510778 What comes next: -14244, -12881, -10610, -7431, -3344, 1651, 7554? 14365 What comes next: 6735168, 13470336, 20205504? 26940672 What comes next: -12108304, -12108258, -12108198, -12108118, -12108012? -12107874 What is next in -133226, -533022, -1199350, -2132210, -3331602? -4797526 What comes next: 154280, 308460, 462640, 616820, 771000, 925180? 1079360 What is next in 51740, 103933, 156116, 208283, 260428, 312545, 364628, 416671? 468668 What comes next: -3715, -3360, -2987, -2590, -2163, -1700, -1195? -642 What comes next: -96947260, -193894516, -290841772, -387789028? -484736284 What is next in 6399, 3222, 45, -3132? -6309 What comes next: 5565, 12956, 20357, 27762, 35165? 42560 What comes next: -1557119, -6228573, -14014359, -24914471, -38928903, -56057649? -76300703 What is next in -66762, -132348, -197940, -263538? -329142 What is the next term in 1260, 1176, 1094, 1014? 936 What is the next term in 48203, 96427, 144663, 192911, 241171, 289443, 337727? 386023 What is the next term in -948965, -948967, -948959, -948935, -948889, -948815, -948707, -948559? -948365 What comes next: 11308, 21812, 31512, 40408? 48500 What comes next: -352646, -1410616, -3173912, -5642534? -8816482 What is next in 3360, 2256, 1152, 48, -1056, -2160? -3264 What is the next term in 1073812, 2147610, 3221408? 4295206 What is the next term in 1233404, 1232991, 1232578, 1232165, 1231752? 1231339 What comes next: 1248, 1947, 2284, 2259, 1872, 1123? 12 What comes next: -34026, -272502, -919804, -2180346, -4258542, -7358806, -11685552, -17443194? -24836146 What is next in 80537019, 80537017, 80537015, 80537013, 80537011, 80537009? 80537007 What is next in -19146, -76653, -172498, -306681, -479202, -690061? -939258 What comes next: 2112, 9567, 29812, 69243, 134256, 231247? 366612 What comes next: -772646, -1545285, -2317924, -3090563, -3863202? -4635841 What comes next: 3623563, 3623590, 3623617, 3623644? 3623671 What is next in -335845368, -335845373, -335845378, -335845383, -335845388, -335845393? -335845398 What is the next term in 472, 3314, 10958, 25804, 50252, 86702, 137554, 205208? 292064 What is next in 340857, 340854, 340851, 340848? 340845 What comes next: -4189, -1210, 1769, 4748, 7727? 10706 What comes next: -1120574, -1120638, -1120810, -1121144, -1121694? -1122514 What comes next: 88468, 88512, 88546, 88564, 88560, 88528, 88462? 88356 What comes next: 2312, 5394, 10530, 17720, 26964, 38262, 51614? 67020 What is the next term in 83094, 332365, 747810, 1329429, 2077222, 2991189? 4071330 What is the next term in -14433, -59936, -136513, -244164, -382889? -552688 What is next in 46508, 184308, 413988, 735554, 1149012, 1654368? 2251628 What comes next: 478029, 956274, 1434519, 1912764, 2391009? 2869254 What is next in -297, -1787, -4875, -9963, -17453, -27747, -41247? -58355 What is next in -28949399, -57898802, -86848203, -115797602, -144746999, -173696394? -202645787 What is the next term in -3512, -14441, -32782, -58535, -91700, -132277, -180266? -235667 What is next in 184159, 736554, 1657213, 2946136, 4603323, 6628774? 9022489 What is next in -4704288, -9408568, -14112848, -18817128? -23521408 What comes next: -716883, -1433767, -2150651, -2867535? -3584419 What is the next term in 18319, 18959, 19605, 20251, 20891, 21519, 22129? 22715 What is next in 7938681, 15877188, 23815685, 31754166, 39692625, 47631056? 55569453 What is next in 1420, 1718, 2188, 2830, 3644, 4630, 5788? 7118 What comes next: 80118, 320374, 720798, 1281390, 2002150? 2883078 What is next in 33973327, 33973329, 33973331, 33973333? 33973335 What is next in -4699607, -4699587, -4699565, -4699541, -4699515? -4699487 What comes next: 22406, 22355, 22276, 22157, 21986, 21751, 21440? 21041 What comes next: -115406, -230324, -345244, -460166, -575090? -690016 What is next in -1476, -2394, -3934, -6102, -8904? -12346 What is next in 26517648, 106070421, 238658368, 424281483, 662939760, 954633193, 129936177
{ "pile_set_name": "DM Mathematics" }
- 11. What is -2*f(u) + 5*g(u)? u**2 - 8*u - 3 Let a(i) = 36*i**3 + 309*i**2 - 17*i - 27. Let o(y) = -9*y**3 - 77*y**2 + 4*y + 6. Give -2*a(m) - 9*o(m). 9*m**3 + 75*m**2 - 2*m Let l(f) = 5764*f + 14. Let t(n) = -2882*n - 6. Give 3*l(k) + 7*t(k). -2882*k Let i(z) = 16*z - 44. Let t(u) = u - 3. Let y = -1753 + 1665. Determine y*t(v) + 6*i(v). 8*v Let n(o) = 7*o**3 - 5*o - 1. Let z(j) = 339*j - 5420. Let l be z(16). Let u(i) = i**3 - 4*i + 3*i**3 + 2*i**3 + 0*i**3. Calculate l*n(w) - 5*u(w). -2*w**3 - 4 Let t(p) be the third derivative of p**4/24 + p**2. Let g(w) = -38*w**2 - 49*w - 42*w + 97*w + 37*w**2. Give -g(d) + 6*t(d). d**2 Let w(u) = -u**2 - 4*u - 2. Let d(k) = -k. Let i = 94 - 85. Suppose -11*y - i = 2. Calculate y*w(t) + 3*d(t). t**2 + t + 2 Let a(z) = -9204*z - 41. Let m(h) = -1532*h - 7. Calculate -6*a(w) + 35*m(w). 1604*w + 1 Let k(h) = -44 - 2*h**2 - 3585*h + 7046*h - 3448*h. Let p(m) = m**2 - 7*m + 22. Give 6*k(w) + 11*p(w). -w**2 + w - 22 Let m(n) be the second derivative of -1/3*n**3 - 1/12*n**4 - 3/2*n**2 + 65*n + 0. Let j(p) = p**2 - 1. What is 5*j(q) - m(q)? 6*q**2 + 2*q - 2 Let v(u) = -24*u + 33. Let m be (4 - (-4)/(-4)) + -4. Let b be m/((-3 - -7)/(-132)). Let d be 3*(-1 + 21/9). Let t(l) = 3*l - 4. Calculate b*t(w) + d*v(w). 3*w Suppose -10*u - 73 = -113. Suppose w = k - u*k + 3, 0 = 4*k - 12. Let a(i) = 8*i**2 + 3*i + 1. Let r(m) = -23*m**2 - 8*m - 3. Give w*r(o) - 17*a(o). 2*o**2 - 3*o + 1 Let p(w) be the second derivative of -w**5/5 - w**4/4 - 5*w**2/2 - 88*w. Let k be (2/8)/((-24)/(-384)). Let d(o) = -4*o**3 - 2*o**2 - 4. Give k*p(f) - 5*d(f). 4*f**3 - 2*f**2 Suppose -m - 17 = 5*u, -u = 2*m + 3*u + 16. Let w(v) = -83*v**3 + 2. Let d(q) = 10292*q**3 - 249. Give m*d(n) - 249*w(n). 83*n**3 Let w(b) = 1678*b**3 + 4*b**2 + 4*b + 3. Let g(n) = -5042*n**3 - 11*n**2 - 11*n - 8. What is -4*g(r) - 11*w(r)? 1710*r**3 - 1 Let c(b) = 5*b**3 + 7*b**2 + 29*b + 3. Let x(m) = 7*m**3 - 3*m**2 - 1 + 3*m**3 - 7*m**3 - 18*m - 5*m**3 + 3*m. Calculate 3*c(s) + 7*x(s). s**3 - 18*s + 2 Suppose 3*x - 5*j + 3 = 5*j - 9*j, 0 = -4*j. Let z(p) = 16*p + 20. Let m(h) = h + 1. What is x*z(u) + 20*m(u)? 4*u Let x(p) = -5*p + 19. Let b(o) = 2*o - 7. Calculate 4*b(q) + 2*x(q). -2*q + 10 Let i(y) = 96*y**2 + 24*y - 24. Let o(j) = -j**3 + 12*j**2 + 44*j + 39. Let w be o(15). Let x(g) = -19*g**2 - 5*g + 5. Calculate w*x(a) + 5*i(a). 24*a**2 Let z(h) = 3*h**3 - 2. Suppose -25 = -5*g + 5*q, 2*g + q = 33 - 23. Let l(s) = -3*s**3 + 2. Calculate g*z(r) + 6*l(r). -3*r**3 + 2 Suppose 3 + 3 = 2*t. Let i = -1 - t. Let s(k) = -5*k + 2. Let h(r) be the third derivative of -r**4/24 + r**3/6 - 7971*r**2. Calculate i*h(g) + s(g). -g - 2 Let r(f) = -20*f**2 + 6*f - 4. Let d(c) be the third derivative of c**4/24 - c**3/6 + 3*c**2 + 3*c + 113. Determine -4*d(w) + r(w). -20*w**2 + 2*w Let u(m) = -7*m + 2. Let q(l) = 11*l - 8 + 3 - l + 2. Give -5*q(r) - 7*u(r). -r + 1 Let h(g) = 1. Suppose 92 - 55 = 13*v + 24*v. Let i(r) be the second derivative of -3/2*r**2 - 1/2*r**3 + 0 + 3*r. What is v*i(s) + 2*h(s)? -3*s - 1 Let w(p) = -14*p**2 + 1. Let u(k) = 144*k**2 + 24. Give -u(m) - 7*w(m). -46*m**2 - 31 Let v(r) = -5*r - 3. Suppose -u + 4 = -0. Let q(i) = -5*i - 463 + 152 + 153 + 156 + i. Give u*v(g) - 6*q(g). 4*g Let a(b) = -6 + 4 + 3*b - 4. Let i be (4 + -178*6/60)*-35. Let n = -490 + i. Let y(r) = -5*r + 11. What is n*a(p) - 4*y(p)? -p - 2 Let g(v) = 9*v + 699. Let l(p) = 14*p + 1045. Give -8*g(z) + 5*l(z). -2*z - 367 Let r = 47 + -27. Suppose 8*j + r - 124 = 0. Let l(t) = 1 - j*t + 14*t - 8*t. Let z(p) = -3*p + 1. Give -2*l(c) + 5*z(c). -c + 3 Let m(t) = t**3 - 3*t - 1. Let q be (-270)/(-110) - (-11)/(484/24). Let k(c) = -c - 63*c**2 + 28*c**2 + 34*c**2. What is q*k(g) - m(g)? -g**3 - 3*g**2 + 1 Let i(g) = 4*g**2 - 5*g - 1. Let s = 11090 + -11092. Let m(d) = -17*d**2 + 20*d + 3. What is s*m(o) - 9*i(o)? -2*o**2 + 5*o + 3 Let l(g) = -1171*g**2 - 12. Let w(p) = 4684*p**2 + 45. Calculate 15*l(t) + 4*w(t). 1171*t**2 Let y(a) = a**3 + a**2 - a - 7. Let l(n) = -6*n**3 - 33*n**2 + 5*n + 25. Calculate -l(t) - 3*y(t). 3*t**3 + 30*t**2 - 2*t - 4 Let l(o) = 83*o**2 - 20*o**2 - 9*o + 7 - 60*o**2. Let n(r) = 4*r**2 - 13*r + 10. Let b(q) = q**2 - 17*q - 145. Let f be b(-6). Give f*l(y) + 5*n(y). -y**2 - 2*y + 1 Let q(x) = -4*x**3 - 9*x**2 - 2*x. Let t(h) be the second derivative of h**5/20 + h**3/6 + 22*h - 6. Give q(b) + 3*t(b). -b**3 - 9*b**2 + b Let p(q) = 6*q**3 - 9*q**2 - 14. Let w(o) = -14*o**3 + 18*o**2 + o + 34. Determine 5*p(f) + 2*w(f). 2*f**3 - 9*f**2 + 2*f - 2 Let x = 199 + -195. Let d(v) = 3 + x*v**2 + 6*v**2 + 5*v - 11*v**2 - 3. Let h(t) = 2*t**2 - 9*t. Give -5*d(r) - 3*h(r). -r**2 + 2*r Let n(r) = -8*r + 2. Suppose -10*x + 19 = -1. Suppose -3 + 2 = -x*g + 5*d, -3*g + 6 = -3*d. Let p(q) = q + 2 - 1 - g + 1. Give n(b) + 2*p(b). -6*b Let x(z) = 5*z**2 - 3*z + 4. Let r(a) = 434232*a**2 - a - 434226*a**2 + 5 - 5*a + 2*a. Determine -3*r(i) + 4*x(i). 2*i**2 + 1 Let h(i) = 9*i**3 - 2*i**2. Let b(p) be the first derivative of 217*p**4/4 - 49*p**3/3 - 5. Let a be (-38)/16 - (1 - (-1 - (-19)/8)). What is a*b(j) + 49*h(j)? 7*j**3 Let b(u) = -1465*u - 116. Let h(w) = -293*w - 21. What is -4*b(m) + 22*h(m)? -586*m + 2 Let p(y) be the first derivative of -15*y**2/2 - y + 1446. Let u(r) = 14*r + 1. Determine 5*p(s) + 4*u(s). -19*s - 1 Let b(r) = 22*r**2 + 8*r + 16. Let d = -675 + 680. Let x(c) = 7*c**2 + 3*c + 5. Determine d*b(j) - 16*x(j). -2*j**2 - 8*j Let y(f) = 668*f**2 - 11*f + 10. Let m(v) = 1340*v**2 - 20*v + 17. Give 4*m(c) - 7*y(c). 684*c**2 - 3*c - 2 Let q(g) = -g**3 - g**2 + 3*g + 1. Let t be q(-1). Let d(n) = -n**3 - n - 1. Let u(r) = 2*r**2 + 2 + 4*r**3 + 0*r**2 + 2*r + 0. What is t*d(f) - u(f)? -2*f**3 - 2*f**2 Let l(z) = 8*z**2 - 94*z - 28. Let q be l(12). Let h(w) = -2*w**3 - 4*w**2 - 2*w - 17. Let f(m) = 3*m**3 + 7*m**2 + 3*m + 35. Calculate q*f(k) - 7*h(k). 2*k**3 + 2*k - 21 Let l(a) = 16*a - 4. Let p(m) = m**2 - 18*m + 5. Let q(w) = 6*l(w) + 5*p(w). Let u(o) = -8*o + 4*o - o**2 + 3*o. Determine 2*q(f) + 11*u(f). -f**2 + f + 2 Let q(z) = -7*z**3 - 14*z**2 - 1832. Let n(g) = 10*g**3 + 21*g**2 - g + 1833. What is 2*n(o) + 3*q(o)? -o**3 - 2*o - 1830 Let l(x) = 108*x**2 + 33*x - 54. Let u(a) = -325*a**2 - 97*a + 144. What is -8*l(r) - 3*u(r)? 111*r**2 + 27*r Let i(z) = z**3 + 3*z**2 + 4*z - 5. Let m(t) = -t**3 - 5*t**2 - 7*t + 9. Suppose 185*a + 1168 - 243 = 0. What is a*i(j) - 3*m(j)? -2*j**3 + j - 2 Let w(x) be the third derivative of 0*x + 1/6*x**4 - 1/120*x**6 - 1/60*x**5 + 3 - x**2 + 0*x**3. Let l(h) = h. Determine -4*l(t) + w(t). -t**3 - t**2 Let t(l) = l**3 - 161*l**2 + 10*l - 63. Let z(r) = -r**3 + 114*r**2 - 7*r + 41. What is -5*t(j) - 7*z(j)? 2*j**3 + 7*j**2 - j + 28 Let o(c) = -38*c**2 + 17*c + 8. Let l = -936 - -942. Let h(p) = 13*p**2 - 6*p - 3. Calculate l*o(z) + 17*h(z). -7*z**2 - 3 Let q(u) = -u**3 - u**2 - u. Let l(w) = w**3 - 3*w**2 - 4*w. Suppose 3*v = 2*a - 3*a - 2, 5*v + 2*a = -6. Suppose 0 = 2*g - 0*g + 2. What is g*l(p) + v*q(p)? -3*p**3 + p**2 + 2*p Let l(s) = s**2. Let y = 1 - -6. Let v = 12 - y. Suppose -v - 3 = -5*a + 2*x, a - 7 = -5*x. Let f(i) = 2*i**3 - 3*i**2. What is a*f(m) + 6*l(m)? 4*m**3 Let l(r) = -5*r**3 - 5*r**2 + 119*r - 3. Let g(d) = -6*d**3 - 7*d**2 + 118*d - 4. Give -3*g(x) + 4*l(x). -2*x**3 + x**2 + 122*x Let g(l) = -3428*l - 64. Let u(y) = -3428*y - 53. Calculate 5*g(x) - 6*u(x). 3428*x - 2 Let l(j) = 29*j**2 - 111*j + 2. Let v(u) = -2*u**2 + 4*u. Determine -l(r) - 8*v(r). -13*r**2 + 79*r - 2 Let m(x) = x**3. Let i(v) = -170*v**3 + 25*v**2 + 100*v - 25. Let a(r) = 21*r**3 - 3*r**2 - 12*r + 3. Let d(t) = -50*a(t) - 6*i(t). Calculate 2*d(o) + 28*m(o). -32*o**3 Let i(p) = p**3 + p**2. Let q(o) = -7*o**3 - 27*o**2 - 1. Let g = -8175 - -8181. Calculate g*i(f) + q(f). -f**3 - 21*f**2 - 1 Suppose 2*p - w = 1, -2*p + 17 = -5*w + 4. Let l(c) = -3*c**3 - 32*c**2 - 2*c + 1. Let k(o) = o**3 - o**2 + o. Give p*l(i) - 2*k(i). i**3 + 34*i**2 - 1 Let v(b) = 3*b + 7. Let h(s) = 21*s - 49. Let z be h(4). Let y be (-4 + z/7)*(0 - 7). Let i(c) = -2*c - 5. What is y*i(j) - 5*v(j)? -j Let c(h) = 2*h**2 - 9*h + 26. Let v(o) = 2*o**2 - 6*o + 25. Determine 4*c(a) - 5*v(a). -2*a**2 - 6*a - 21 Let z(g) = 2*g. Let n(y) = 1. Let a = -7286 + 7288. What is a*n(j
{ "pile_set_name": "DM Mathematics" }
. -2 Let k(f) = -3*f. Let v be k(-3). Suppose 4*r - 16 = 2*b, -2*r + 3*b + v = 1. Suppose -4 = 2*m + 6, m + 13 = 4*h. Solve 12 - r = -h*a for a. -4 Suppose 4*v = 3*v - 5*b - 4, 4 = -2*b. Suppose -3*a + 5*p - 47 = 0, -5*p - v = 4*a + 45. Let i be 62/22 - a/77. Solve i = -5*h + 8 for h. 1 Let m(u) = 10*u - 52. Let o be m(7). Solve -2*q - o = -8 for q. -5 Let m = 5 + -8. Let p be 0/(-2*(-2 - m)). Let b be 2 + 18 + p/2. Solve b = -4*c - c for c. -4 Suppose -3 = -4*s - 3*d, -4*s + 4*d = s + 35. Let r = 13 + s. Solve 3*a - r = a for a. 5 Suppose c = -3*a + 63, -a = a + 4*c - 52. Suppose 16*q + 28 = a*q. Solve -5*z - 3 - q = 0 for z. -2 Suppose -18 = 2*z - 40. Solve -z*j = -7*j + 16 for j. -4 Suppose 2*v - 14*v = -36. Solve -6*b - v*b = -b for b. 0 Let z(g) = -g + 14. Suppose 5*k - 4*u = 42, 0*k + 4*k + 5*u - 9 = 0. Let o be z(k). Solve -w + o = 3 for w. 5 Let o be (-2)/3 + (-98)/6. Suppose -3*z + 4*m = 44, 3*z + 38 = -m + 2*m. Let h = z - o. Solve -20 = -h*y + y for y. 5 Let s be (-8)/(16/4) + 2. Suppose 7*t + 0*t - 14 = s. Solve -5*v + 3 + t = 0 for v. 1 Suppose 0 = 2*x + 28 - 56. Suppose 4 = -i - 4*v + 21, -i = 3*v - x. Solve -1 = 4*m - i for m. 1 Let z be (-24)/9*126/(-12). Let f = z - 26. Solve -1 + f = y for y. 1 Let v(w) = w**2 - 4*w - 28. Let x be v(9). Let z = x - 17. Solve z*k = k + 1 for k. -1 Let l = -1196 - -1198. Solve -l*u + 87 = 79 for u. 4 Let v be (180/72)/(2/(-4)) - -85. Solve -3*j = -v + 95 for j. -5 Let o(u) = -7*u - 8 + 13*u - 9*u + 52. Let j be o(11). Solve -4*k + j = -1 for k. 3 Suppose -6*i - 29 = -305. Let y = i - 45. Solve -3*s = -y + 7 for s. -2 Let h be ((-7)/2)/(3/(-30)). Suppose 0 = -c - 5*b - 6 + h, 0 = 2*c - 4*b + 12. Solve -2*w = -c*w - 8 for w. -4 Let u = -14 - -18. Let o be -1 - -1 - ((u - 9) + 3). Solve 6 - 4 = -o*a for a. -1 Let m be ((-1)/3)/(16/1200). Let c = m - -28. Suppose 3*g = c*p + 15, -2*g + 6*g - 13 = -3*p. Solve -u = -2*u + g for u. 4 Suppose -b - 2*b - 3*b = 0. Let x be (-19 + 17)*(b + 10/(-4)). Solve -x*d + 20 = -0*d for d. 4 Suppose 0 = -5*q + 2*q - 36. Let s = 36 + q. Suppose 5*c = -w - w + 12, 4*c = 2*w + s. Solve y = 2*y + c for y. -4 Let j = -6 - -11. Suppose p - t - 1 = 0, -3*p + 5*t - 3 - 4 = 0. Solve -p = -3*n + j*n for n. -3 Let y be (-1 - -2) + (1 - -5). Let j = -11 + 14. Solve -22 + y = j*d for d. -5 Suppose -5*z = -u - 15, -7*u + 3*z = -9*u + 22. Solve -u*j + 12 = -j for j. 3 Let x(u) = -u**3 - 13*u**2 - 13*u - 12. Let r be x(-12). Let k = 0 + r. Suppose -2*m + 34 - 6 = k. Solve 4*a - m = -6 for a. 2 Suppose -460 + 210 = -10*k. Solve -2*t - k = -31 for t. 3 Suppose 29*p - 14 = 22*p. Suppose -4 + 10 = p*j. Suppose 3 = 3*x - 0*x. Solve 0 = r + j - x for r. -2 Let p = -23 - -25. Suppose p*l = 5*l - 3. Solve 9 = 4*t + l for t. 2 Let m be 2/((-10)/3 + (14 - 10)). Solve -m*t + 2*t = 4 for t. -4 Suppose -350 = 5*c - 5*y, -3*c - 2*y = 2*y + 224. Let n be c/20 + 10/(-25). Let b be 3*((-4)/n - 0). Solve 16 = i + b*i for i. 4 Let w(x) = x**3 + 3*x**2 - 6*x - 5. Suppose 4*d - 6 - 42 = 0. Suppose 5*y + 32 = d. Let f be w(y). Solve -m = -f*m for m. 0 Suppose -185 = 5*i - 240. Solve 0 = 2*d + i - 3 for d. -4 Let m(z) = z**3 - 16*z**2 - 4*z**3 + z**3 + z**3 - 15*z. Let x be m(-15). Suppose -5*o = -x*o - 10. Solve -o*q + 3*q + 5 = 0 for q. -5 Let g(v) = -v**2 + 2*v - 7. Let h be g(7). Let b = h - -45. Solve -5 - 10 = -b*r for r. 5 Let w(o) = -o**3 + o**2 - 2*o - 1. Let y be w(3). Let l be (-4)/(40/y)*2. Solve 2*m = l*m + 3 for m. -1 Let m(r) = 5*r**3 - 13*r**2 + r + 14. Let u(h) = -h**3 - 1. Let s(y) = -m(y) - 6*u(y). Let o be s(-13). Solve -4*w - o = 11 for w. -4 Let f = -2 + 8. Suppose -30 = -f*b + 4*b. Suppose p + p + 5*i - b = 0, -3*p + 3 = i. Solve -2*h - 3*h = p for h. 0 Let j(v) = -19*v + 47. Let c be j(1). Solve 15 = c*g - 13 for g. 1 Suppose 156*s + 12 = 153*s. Let x be -3 + (-2 - -3) + 8 + s. Solve k = -x*k for k. 0 Let z be 6 + (-32)/(-80)*(-5)/1. Suppose -4*q - g = -3*g - 14, -z*q + 7 = 5*g. Solve -6 = -q*b - 3 for b. 1 Suppose 4*p - 4 = 0, 4*p = -2*z + 2*p + 22. Solve 3*c - 8*c - z = 0 for c. -2 Suppose 0 = 4*w + 4, -w = 3*h - 2*h + 1. Suppose -2*q = v + 1, -4*q - q + v + 1 = h. Solve -k - 3*k - 16 = q for k. -4 Let a be ((-20)/(-14))/(22/77). Solve -5*f + 0 = a for f. -1 Suppose -2*w + 31 = 3*d, -10*w + 87 = -5*w - 2*d. Let r = 3 + w. Solve 3*n = -2*n - r for n. -4 Let p be 2/2 - ((1 - 1) + -9). Suppose p = z - 2*q, -4*z + q + 6 = -13. Solve 3*h - z*h - 1 = 0 for h. -1 Let d be (-4 + 0 - -4) + 0. Suppose d = -2*c - 0 + 4. Solve 4 = -c*h - 6 for h. -5 Suppose 16 = -4*g + 2*g - 5*p, 5*p = 4*g - 28. Solve 0*h - h = g for h. -2 Let j(m) = -m - 4. Let z be j(-11). Let u = z + 1. Solve 4 + u = -4*a for a. -3 Let g be ((-19)/(-5) - -1) + (-22)/(-110). Suppose -6 + 31 = g*c. Solve -3*j = -c*j + 4 for j. 2 Let d(i) = -2*i + 12. Let k be d(5). Suppose 0*q = 2*q + k*c - 26, -4*c + 16 = 0. Solve 16 = -5*j - q for j. -5 Let m(b) = -8*b - 4. Let a be m(-4). Suppose 3*l - 32 = 4*w, 4*w - 2*w = -4*l + a. Let v = l - 3. Solve -4*u - v = -9*u for u. 1 Suppose q - 4 = -2*l, 0*q + 4 = 4*q + 2*l. Solve q = -5*z + 2*z - 6 for z. -2 Suppose -663 - 988 = -13*m. Solve -131*b + 4 = -m*b for b. 1 Let r = 261 + -253. Solve 0 = 11*u - 7*u - r for u. 2 Suppose 0 = -5*z + x + 21, 4*x + 32 - 8 = 5*z. Suppose 0 = a + 1, z*y - 17 = y + 5*a. Suppose 2*c + y = 3*c. Solve -v + c = -5*v for v. -1 Let k be 91/5 + 1/(-5). Let n = k - 13. Suppose 0 = v - 1, 4*s - 5*v + n - 20 = 0. Solve -2*i - s = -3*i for i. 5 Suppose l + l - 8 = 0. Suppose -23 - 9 = -l*m. Let o = 8 - m. Solve 12 = -o*c - 3*c for c. -4 Let w be -1*0*1/(-2). Suppose 102 = 2*g + 15*g. Let s(d) = d + 11. Let u be s(g). Solve -3*l + 5 - u = w for l. -4 Suppose -3*w = w + 96. Let g be -1*(2 + (w - -1)). Suppose -3*b = -2*y + 5*y - g, 4*b - y = 8. Solve -4*o - b = 5 for o. -2 Let m(y) = -y**2 - 8*y + 5. Let j(t) = 7*t - 1. Let b be j(-1). Let h be m(b). Solve -h*w - 1 + 26 = 0 for w. 5 Let s be (2 + (-16)/12)*(-153)/(-6). Let f = -5 + s. Let b be (1/(-3))/((-3)/27). Solve 0*d = -b*d + f for d. 4 Let z = -824 + 825. Solve -w = -0*w - z for w. 1 Suppose -50 = 4*l + 2*t, 4*l + 0*t = -3*t - 45. Let d = l - -16. Solve p + d = -2 for p. -3 Let j = 3 - 1. Let l be 2*(4 + 19/2 + -5). Solve -l + j = -3*t for t. 5 Let q(l) = l - 1. Let h be q(3). Suppose -h*n = 4*n. Solve -a + 1 = -n*a for a. 1 Let r be -4 + (2/1 - 32). Let i = -18 - r. Solve 0 = -5*a + i - 1 for a. 3 Suppose 25 = -8*r + 13*r. Let l be 2 - (0 - (-4)/2). Solve r*s - s = l for s. 0 Suppose 0 = 4*j - 0*j + c - 97, 0 = -c + 1. Solve -j = 3*n - 9 for n. -5 Suppose -90 = -12*l - 18*l. Solve l = -2*o - 1 for o. -2 Let b be 0 - (2/2 + 2). Let h(k) = 13*k**2 + 2*k - 11. Let c(w) = -2*w**2 + 1. Let n(r) = -6*c(r) - h(r). Let j be n(b). Solve -3*t + j = 8 for t. -2 Let j be ((-126)/49)/(2/(-14)). Suppose -j = -3*l - 0. Solve 0 = r - 3*r - l for r. -3 Let n(x) = -x - 1. Let r be n(-8). Let a(m) = -m**2 - 8*m + 22. Let u be a(-10). Suppose -r*k + u*k = -20. Solve 19 = -k*t + 7 for t. -3 Let m(w) = -w**2 - 8*w + 8. Let r(c) = -2*c - 1. Let k be r(4). Let n be m(k). Let t = n + 9. Solve 4 = 4*v - t for v. 3 Let t(i) = 4*i**2 - 13*i + 5. Let r(f) = -7*f**2 + 25*f - 11. Let d(k) = 6*r(k) + 10*t(k). Let c be d(9). Solve 0 = -3*q - 1 - c for q. -1 Suppose -600 = -10*z - 20*z. Solve -z = -3*r - 2*r for r. 4 Let b be (-12)/(-18) - (-86)/6. Let u = 19 - b. Let f = 4 - u. Solve -2*n - 3*n - 10 = f for n. -2 Let m(b) = b**3 + 22*b**2 + 20*b - 20. Let w be m(-21). Suppose 9 = -4*o - 11. Let s be (-126)/o - w/5. Solve 5*p + 0 + s = 0 for p. -5 Let a(w) = -w**2 + 10*w. Let d be a(10). Suppose -3*z + 15 + d = 0. Solve 4*c = z*c + 3 for c. -3 Suppose 31*p = 34*p - 78. Suppose 0 = 9*j - p - 1. Solve d = -j*d + 4 for d. 1 Let d = -6 + -4. Let o = 8 + d. Let b = o + 6. Solve 11 = b*h - 5 for h. 4 Suppose 0*d = -5*d + 15, d - 3 = 2*o. Suppose o = -19*z + 16*z + 9. Solve 5 - 2 = -z*i for i. -1 Let q(f) = 12*f - 35. Let m be q(6). Suppose 8*c = m - 13. Solve -8*j = -5*j + c for j. -1 Suppose -2*p = -2*w + 3*w, -2*p = -4*w. Solve -12*a - a - 52 = p for a. -4 Let h(z) = 4*z**2 - 210*z - 102. Let l be h(53). Solve -17 = l*d - 25 for d. 2 Suppose 56*m - 1808 = 432. Solve -21*g + m + 23 = 0 for g. 3 Suppose 0 = 3*w - 12, 8*o - 4*o - 4 = 4*w. Suppo
{ "pile_set_name": "DM Mathematics" }
2*l - 4 + 2)*((l - l - 2*l)*(0 + 1 + 1) + 3*l - 4*l - l + 6 - 6 - 4*l) as n + k*l + r*l**2 and give r. 7 Rearrange -2 - 1 - 11*z**2 + 5 to a + b*z + p*z**2 and give a. 2 Express 9 - 47 - 2*c**2 + 21 + 0*c**2 in the form j + z*c**2 + a*c and give j. -17 Rearrange (-1 + 1 - 4*p**3)*(-6 + 1 + 4) + (-p**2 - 3*p**2 + 2*p**2)*(8*p + 1 - 1) to the form g + h*p**2 + m*p + j*p**3 and give j. -12 Express (18*s - 13*s - 4 + 0)*(3*s - 10*s + 8*s) as l + t*s + r*s**2 and give l. 0 Express -7*a**3 + 2*a + 3*a - 3*a**2 + 5*a**3 in the form v*a**3 + k*a + l + r*a**2 and give v. -2 Express -n**3 + 14*n**2 - 11*n**2 - n**3 + 4 - 7*n**2 as t*n**2 + v + w*n + f*n**3 and give v. 4 Express 11*c**3 + 2*c**2 + 4 + 2*c**4 - 16*c**3 - 5 as h*c**4 + y*c**3 + u + b*c**2 + r*c and give y. -5 Rearrange 7*n**2 - n**3 - n**3 - 2*n**2 - n**4 + 2 to the form x*n + b*n**3 + z + y*n**2 + k*n**4 and give k. -1 Express ((-3 + 3 + 3)*(3*y - 6*y + y) - 1 - 7*y + 1)*(0*y**2 - 2*y**2 - 2*y**2) in the form i*y + q + j*y**2 + x*y**3 and give x. 52 Rearrange -6*u + 22*u - 12*u + 26*u to the form p + t*u and give t. 30 Rearrange (-1 + 0 - 1)*(-y - 2 + 2) + (-2*y - y + 0*y)*(1 + 0 + 2) - 2*y + 6*y - y to the form o*y + j and give j. 0 Express 8*o**4 + 8*o**2 - 8*o**2 + (-5 + 2 + 4)*(o**4 - 4*o**2 + 4*o**2) in the form c*o**3 + w + y*o + u*o**2 + p*o**4 and give p. 9 Express -2*n + n - 2*n + (2*n - 4 + 3 + 0)*(-4 + 3 - 2)*(-1 - 3 + 6) in the form y + o*n and give y. 6 Express (-5*u**3 - 6*u**3 + u**3)*(5 - 1 + 3) as y*u**2 + c*u**3 + f*u + h and give c. -70 Rearrange 27 - l - 27 + (3 - 1 - 1)*(2*l + 3 - 3) - 2 + 2 + 5*l + 0*l + 2*l - 4*l to r + d*l and give r. 0 Express (-4*g + 7*g + 7*g)*(-2 - 5 - 6 - 10) as w*g + s and give w. -230 Rearrange 0*t**4 - 4*t**4 + 3*t**4 + (2*t - 2*t + t**2)*(-3*t**2 + 3*t**2 + 2*t**2) - 2*t + 2*t + 2*t**4 to b*t**4 + x + j*t**2 + r*t**3 + o*t and give b. 3 Express (1 - 12 + 3)*(-2*l + 7*l - 2*l) in the form z*l + s and give z. -24 Rearrange 4 - 10*x**2 + 0*x**2 - 4 to v*x**2 + n + f*x and give v. -10 Rearrange -f**2 - 3*f**2 - 10 + 2*f**2 + f**2 to the form y*f + a + j*f**2 and give j. -1 Rearrange 2*t**2 + 26 + 4*t**4 + t**2 - 24 to r*t + f*t**2 + m + a*t**3 + q*t**4 and give q. 4 Express 4*v - 10*v - 3*v - 12*v as d + s*v and give s. -21 Rearrange -5 - 3*q - 306*q**3 + 310*q**3 + 3*q to h*q**3 + o*q + t + g*q**2 and give t. -5 Express (-5 + 0 - 1)*((1 - 2*x - 1)*(-2 + 5 - 1) + 0*x - x + 0*x) as h + l*x and give l. 30 Rearrange (s - 4*s + 0*s)*(0*s - 2*s - s) + (4*s - 3*s + s)*(0 + 0 + 2*s) - 1 + 2*s**2 + 1 to the form a*s**2 + i + f*s and give a. 15 Rearrange -2 + 4 - 5 + 1 + 17*n**3 to c*n**2 + j*n**3 + p*n + r and give r. -2 Rearrange (-3*f**3 + 2*f**3 + 2*f**3)*(-f + 3*f + 7*f) to u*f + l*f**3 + w*f**4 + y*f**2 + k and give w. 9 Rearrange (5 + 6 - 4)*(-3 + 3 + r)*(1 + 2 - 2) to the form x*r + d and give x. 7 Rearrange 34*x - 107*x - 30*x to the form s*x + u and give s. -103 Express 9*w**2 - w**2 + 5*w**2 - 4*w**2 as q + d*w + j*w**2 and give j. 9 Express 7*q**3 + 3*q**4 - 4*q**3 + 1 - q**3 - q**3 in the form r + n*q**4 + y*q**3 + b*q**2 + s*q and give r. 1 Express -5 - 3*y**2 + 5 - 50*y**2 in the form x + r*y + m*y**2 and give m. -53 Rearrange (2 + c + c + c)*(3*c + 16*c**2 - c - 7*c**2) to the form s*c + g*c**3 + f*c**2 + h and give f. 24 Express 5*o**2 + o**2 + 10*o**2 as l*o + y*o**2 + z and give l. 0 Rearrange (1 + 3 - 3 + (11 - 14 + 8)*(-5 + 4 + 2))*(0*g - 3*g + g) to the form s + f*g and give f. -12 Express -2 + 0 + 6 - 2*n + 2*n + 0*n - n + (0 + 3 - 1)*(0 + 2*n + 0) as v*n + o and give o. 4 Rearrange -129*z**2 - 61*z**2 + 9*z**2 to i + l*z**2 + c*z and give l. -181 Express 2*h**2 - 4 - 7 - h**4 + 2*h**4 as y*h + u*h**3 + l*h**4 + b + m*h**2 and give l. 1 Rearrange 649 + 3*u + 58*u - 649 to the form y + h*u and give h. 61 Rearrange 36 + 44*a - 2 - 45*a to the form u*a + h and give h. 34 Rearrange 7 - l**2 + l - 2*l**3 - 2*l**4 + 5 - 6 to the form w + r*l**2 + z*l + p*l**3 + h*l**4 and give p. -2 Express -18*d - 10*d + 34*d + (-2*d + 0*d + 3*d)*(5 - 2 - 5) - 12*d - 5*d + 5*d as j + i*d and give i. -8 Express (a**2 + 3*a**2 + a**2)*(a**2 + 3*a - 3*a) in the form k*a**3 + y*a**2 + q + u*a + v*a**4 and give v. 5 Express -z**3 - 2*z + 9*z**2 - 5*z + 5*z in the form v*z**3 + t*z + x + k*z**2 and give t. -2 Express 9*b**2 - 3*b**2 - 3*b - 3*b**3 + 2*b**4 - 8*b**2 as k*b + y*b**3 + c*b**2 + d + z*b**4 and give c. -2 Express 10*m + 2*m**3 - 9*m - 2 - 6*m**3 as w + t*m**3 + s*m + k*m**2 and give s. 1 Express -9*a**3 - 3 + 3 - 4*a**2 + 2 in the form o + c*a**2 + t*a + y*a**3 and give y. -9 Express (-3 - 3 + 4)*(-57*o + 29*o + 4*o)*(-2*o**2 + 5*o**2 - 5*o**2) as d*o**2 + b*o + r*o**3 + i and give r. -96 Express (2*i - 3*i - i)*(0*i + 0*i + i)*(-2*i + 0*i - i) as s + t*i**3 + x*i**2 + u*i and give t. 6 Express (15*o - 24 + 24)*(3 + 1 - 5)*(-8*o - 2*o - 7*o) in the form r*o**2 + b*o + f and give r. 255 Express 4*g + 17*g - 6*g + 2*g**2 - 2*g - 2*g**3 - 2 in the form s*g**2 + t*g**3 + n*g + y and give t. -2 Rearrange 24 - 22 + z**2 - 3*z**4 - 2*z**3 - 4*z**4 + 5*z**4 to the form v*z + l*z**4 + h*z**2 + m*z**3 + d and give d. 2 Rearrange (2*p - p - 3*p)*(2*p**3 + 0*p**3 + 5*p**3) to v*p**2 + u*p + s*p**4 + l*p**3 + z and give s. -14 Rearrange p**2 + 3*p**4 + 73*p - 1 + 2*p**4 - 72*p to u + v*p**4 + b*p + w*p**3 + f*p**2 and give v. 5 Rearrange (2*q + 2 - 2)*(-5 + 2705*q + 4 - 2631*q) to n*q + a*q**2 + t and give n. -2 Rearrange (2*z - 4*z + 3*z)*(3 - 6 + 6) to r + o*z and give o. 3 Rearrange 2 - 3*m**2 - 2 to the form z*m + t + a*m**2 and give a. -3 Express -4 + 0*w**3 + 2 - w**3 in the form j*w**3 + s*w**2 + r + l*w and give j. -1 Express 13*g - 9*g + 20*g as d*g + z and give z. 0 Express (d**3 - d**3 + 3*d**3)*(101 + 8*d - 101) as k*d**2 + u*d**3 + l*d + g*d**4 + z and give g. 24 Rearrange (2 + 4 + 0)*(4 + 1 - 3)*(0*x - 2*x + 4*x)*(21*x - 21*x + 8*x**2) to the form a*x**3 + q*x + i*x**2 + y and give a. 192 Rearrange -g - 2 - 3*g**3 + 64*g**4 + g**2 - 66*g**4 + 2 to the form u*g**2 + r*g + a*g**4 + p + j*g**3 and give a. -2 Express (-2 - 3 + 3)*(9 - 9 - 8*z**4) + 67 - 67 - 11*z**4 as g*z**4 + n + x*z + j*z**2 + p*z**3 and give g. 5 Express (-f - f + 3*f)*(3 + 0 - 1) + 1 - 1 + 2*f - 2*f - 2 + 1 + 3 - 11*f + 2*f + 4*f in the form o*f + c and give c. 2 Rearrange -3 + 4 + 0*k**4 + 2*k**4 + 1 + 12*k**3 to n*k**2 + s + l*k + r*k**3 + a*k**4 and give r. 12 Rearrange 0*x**3 - 6*x**3 + 2*x**3 + (37*x + 7 - 7)*(0 + 0 - 2*x**2) to t*x + o*x**2 + l + r*x**3 and give r. -78 Express 17*r + 4*r + 6*r + 0*r in the form h + p*r and give p. 27 Rearrange (-2*f + 2*f - 2*f)*(-4*f - f + 2*f)*(2*f - 4*f + f) to the form c*f + p*f**3 + i*f**2 + k and give i. 0 Express z**4 - 2*z - 2*z**4 + 0*z + 3*z + 12*z**2 as a*z**4 + x*z + n + q*z**2 + y*z**3 and give x. 1 Express -3989 - 78*p**2 + 3989 in the form r*p + z + v*p**2 and give v. -78 Express -m**2 - m**2 - 2*m**2 in the form d*m**2 + l*m + j and give l. 0 Rearrange -15 + 12 - 5*h**3 - 7 to the form v*h + p*h**3 + q*h**2 + r and give r. -10 Express (4*z - 4*z + 2*z)*(z**3 + 9*z**2 + 22*z**2 + 6*z**2) as x + b*z**4 + a*z + v*z**3 + i*z**2 and give v. 74 Express 0*z**2 - 3 - 4*z**2 + 2 + 2*z**2 + z**3 as q*z**3 + j + p*z + y*z**2 and give j. -1 Express (-23*i**2 + 11*i**2 + 5*i**4 + 11*i**2)*(2 + 0 + 0) - 2*i + 2*i**4 + 2*i as r*i**2 + l*i**4 + m*i + z + d*i**3 and give l. 12 Rearrange (7*t - 2*t + 7*t)*(3*t - 3*t + 3*t) to the form h*t**2 + n*t + i and give h. 36 Rearrange (-5*h**3 + 1 - 1)*(-5 + 4 + 23*h - 39*h) to the form s*h + r*h**4 + n*h**3 + d*h**2 + g and give r. 80 Express (-1 + 3 - 4)*(b - b + 3*b) - 6*b - 5*b + 9*b + (-5*b + 3*b - b)*(2 - 2 - 1) in the form p*b + d and give p. -5 Express -21*n + 7*n + 6*n in the form r + l*n and give l. -8 Rearrange 5 - 7*v**2 + 9*v**2 - v**3 - 5*v**2 + v**2 - 4*v**4 to b*v**4 + i*v**3 + q + r*v**2 + l*v and give i. -1 Rearrange 0*w - w**2 + 0*w + (-2*w - 2*w + 6*w)*(0*w - w + 0*w) - 3 + 3 + w**2 + 542 - 542 - 20*w**2 to g + n*w + k*w**2 and give k. -22 Rearrange -5*p**2 + 102*p - 2*p**2 + 3*p**2 - 99*p to the form m*p**2 + w + r*p and give m. -4 Rearrange -g + 3*g + 0*g + (2 + 0 - 3)*(6*g + 2*g - 3*g) to o + w*g and give w. -3 Express ((-2 + 1 - 1)*(-g + g + g) - g - 1 + 1)*(1 + 6 - 3)
{ "pile_set_name": "DM Mathematics" }
g, -15*h = -20*h + 4*g for h. 4 Solve -5*y + 15 = 5*u, -2*y + 12 = 2*u + 3*y for u. 1 Solve 5*z = 5*c + z + 4, 2*c - 4*z = -4 for c. 0 Solve -3*y = -4*c - 4, -4 = 4*y - 5*y for c. 2 Solve 50 = -5*l + 5*x, -3*l + 2*x - 7*x = -10 for l. -5 Solve -2*k + 1 = 3*i + 9, -5*k + 3*i = -22 for k. 2 Solve 0 = -z - 3*p - 4, -777*z + 778*z + 8 = -5*p for z. 2 Solve -4*u = -8*p + 3*p - 36, -4*p + 5*u - 36 = 0 for p. -4 Solve -7*z + 9*z - 10 = 0, 5*h - 2*z + 20 = 0 for h. -2 Solve -b + 10 - 2 = -3*z, z = b - 4 for z. -2 Solve 0 = 2*d + 2*t, d - 27 + 7 = -5*t for d. -5 Solve 13*b + 15 = 2*w + 10*b, -15 = w + 3*b for w. 0 Solve 0 = 3*r - 12*h + 7*h - 27, -3*r - 5*h = 3 for r. 4 Solve 3*f + 19 = 4*k, 1 = -2*k + 4*f + 23 for k. 1 Solve 0 = 3*w - 2*f + 9, -2*w - 2 - 3 = -f for w. -1 Solve -3*o + 4*y = -1 + 21, 4*o + y = 5 for o. 0 Solve 4*u + u = 4*b - 12, 15 = 5*b - 3*u for b. 3 Solve -3*y - 6 = 0, -5*y + 2 - 4 = -2*a for a. -4 Solve -2*f + 30 = 4*j, 5*f + 3*j - 28 = 12 for f. 5 Solve -19*l + 14*l = 3*d - 10, 3*l + 3*d - 12 = 0 for l. -1 Solve 4*m - 18 = -3*p, -2*p - 7*m = -8*m - 1 for p. 2 Solve 4*d - 4*g = -36, d + 19 = -0*g + 3*g for d. -4 Solve d + 8 - 6 = 0, -5*d = s + 13 for s. -3 Solve 6 = -5*q + 5*i + 11, 0 = 5*i + 20 for q. -3 Solve -f + 3 = -2*o, 73*o - 3*f + 9 = 78*o for o. 0 Solve 3*g = 3*b - 6, -5*g = 2*b - 4 + 7 for b. 1 Solve 5*h - c = 15, 0 = h - 3*c + 4*c - 9 for h. 4 Solve -5*k + 0 + 5 = -4*y, -2*y + 4*k = 4 for y. 0 Solve 4*g = 5*r - 9*r + 32, 0 = -4*g + 3*r - 3 for g. 3 Solve 2*m - 6 = -0*m + o, -4*m + 12 = 2*o for m. 3 Solve 0 = 4*u + 20, u - 2 = -5*o + 18 for o. 5 Solve -67*z - 20 = -72*z - 5*k, 3*k = 2*z + 17 for z. -1 Solve 5*t - 35 = -16*i + 21*i, 2*i - t = -12 for i. -5 Solve 0 = 4*m, -4*m = -5*k + m - 15 for k. -3 Solve 0 = 2*s + 5*m - 5, -104*s + m = -102*s + 13 for s. -5 Solve -4*v - h = -2, -78*v + 81*v - 5 = h for v. 1 Solve -l - 5*n = -0*l - 13, 5*n - 19 = 2*l for l. -2 Solve 3*t = u - 12, 3*t + 1 = 4*t - 2*u for t. -5 Solve 0 = -5*m - n + 5, m - 15 = n - 4*n for m. 0 Solve 18 = -0*y + 3*y - 3*n, 0 = 5*y + 2*n - 9 for y. 3 Solve 0 = 5*i + 10, 3*d + 5 - 3 = 5*i for d. -4 Solve 28*y = 26*y - h - 1, y + 5*h - 4 = 0 for y. -1 Solve -n - 4 = -2*i, i - 35 = -4*n - 51 for n. -4 Solve 15*r - 12*r + 34 = -5*b, 2*r - 4*b = 14 for r. -3 Solve 4*l = 3*b + 8 - 27, 4*b + 8 = -3*l for l. -4 Solve 0 = 2*t - 3*f + 12, 2 + 2 = -5*t + f for t. 0 Solve -4*k - 107 = 5*y - 75, k - 9 = 3*y for y. -4 Solve 2*g = -g - 2*t - 9, 2*g + 6 = -2*t for g. -3 Solve 4*x - 9*u + 19 = -10*u, -3*x - 18 = 2*u for x. -4 Solve -b + 5 = 3*k - 0, 0 = -k + 2*b - 10 for k. 0 Solve 5*m + 3*l = -2, -12 = -4*m + 9*l - 8*l for m. 2 Solve -a - v + 2*v - 4 = 0, -4*a = -3*v + 17 for a. -5 Solve -4*j = -5*a + 36, 8 = 4*a - 2*a for j. -4 Solve -4*a - 20 = 4*c, -2*c + 4*c - 2*a = -2 for c. -3 Solve -4*f + 5*v = f - 35, f + 2*v + 5 = 0 for f. 3 Solve 3*b + 4 = -2*f, b = 16*f - 19*f + 8 for f. 4 Solve -5*a + 2*o - 36 + 10 = 0, 0 = -a + 5*o - 19 for a. -4 Solve 0 = -3*z - 9, 0*n - z - 23 = 4*n for n. -5 Solve 5*y + r = 9, -4*y + 6*r = 2*r + 12 for y. 1 Solve 55*s - 2*y = 57*s, -5 = y for s. 5 Solve 0 = 4*g + z + 15, -5*g + 8*g - 5*z + 40 = 0 for g. -5 Solve -4*h = 7*k - 5*k, 2*k = 1 - 5 for h. 1 Solve b + 237*o = 234*o + 13, -2*b + 3*o = 10 for b. 1 Solve 0 = 2*t - q + 4, -4*t - t = -4*q + 4 for t. -4 Solve 21*u + 19 = 26*u - 3*x, 0 = u + 4*x - 13 for u. 5 Solve -7*x = -3*k - 8*x - 12, -5*x + 4 = -k for k. -4 Solve 0 = 3*d + 3*r - 21, 6*d - 4*r + 32 = 11*d for d. 4 Solve -2*p - 8 = -5*p + 4*a, -5*a = -2*p + 3 for p. 4 Solve -2*l - 2*y - 2 + 6 = 0, -5*l + 3*y = 6 for l. 0 Solve 4*g + 15 = -7*d + 8*d, 4*g + 10 = 2*d for d. -5 Solve 3*p = 12, p - 4 = -q + 1 for q. 1 Solve -389 = -3*a - 4*i - 376, -2*a + 3*i = -3 for a. 3 Solve -c = -2*a + 3, 6*a - 3*a - 22 = -2*c for c. 5 Solve -2*c = 5*w + 6, -3*c = -2*w - 0 + 9 for c. -3 Solve 0 = 2*k - 6, m + 2*k - 1 = 3 for m. -2 Solve -d + 5*d + h = 15, 15 = 3*d + 2*h for d. 3 Solve -4*r = 2*j - 8, -11*j + 9*j = r + 1 for r. 3 Solve -7*c + 4*c + 6 = 0, 2*t - 10 = -2*c for t. 3 Solve 4 - 3 = 3*i - 4*m, -5*m - 15 = -i for i. -5 Solve 5*f = -5, 7*l - 4*l - 11 = 5*f for l. 2 Solve 17 = 5*l - 3*b, -5*b + 2*b - 8 = 4*l for l. 1 Solve 5*j - r = -6*r, 5*r = 4*j - 36 for j. 4 Solve 3*b - 5*h + 14 = 0, 9 = 5*b - h + 3 for b. 2 Solve 0 = -8*x + 3*x + 4*i + 26, -5*x + 5*i + 30 = 0 for x. 2 Solve d - 8 = 3*i, 0 = 4*i - i + 5*d - 22 for i. -1 Solve -5*y + 3*i + 6 = -4*y, 2 = -i for y. 0 Solve -z = 2*c - 5, 3*c - 18 = 2*z - 7*z for z. 3 Solve 5*t - 4*n = -33 + 17, n + 1 = 0 for t. -4 Solve -4*u + 5*g + 1 = 13, 3*u + 9 = 2*g for u. -3 Solve 2*t = z + 9, -2*t + 7*t - 24 = 3*z for t. 3 Solve 3*f = -p - 2*f - 7, -p + 11 = -4*f for p. 3 Solve 1 = 5*j - r, -4*j = -0*j - 5*r + 16 for j. 1 Solve 0 = 5*o + 3*w + 30, -w - 14 = 3*o - 0*w for o. -3 Solve -3*l + 8 = c, -8*c + 10*c + 2*l - 8 = 0 for c. 2 Solve -3*n + 4 = 5*i - 0*n, 0 = 4*i + 5*n - 11 for i. -1 Solve m - 2*g = -3, -2*g + 0 = 2 for m. -5 Solve -22 = 4*b - 2*y, 0 = -b - y + 21 - 19 for b. -3 Solve f - 4*r = 1, f - 3*r - 1 = 1 for f. 5 Solve 4*h - 4*g - 8 = 0, -10 = 3*h - g - 20 for h. 4 Solve 5*w = -0*w - 2*y - 3, 0 = 5*w - y + 6 for w. -1 Solve -4*n - 2 = 3*a - 1, -2*n + 4*a - 6 = 0 for n. -1 Solve m + 3*s + 9 = 2*m, 6 = m - 2*s for m. 0 Solve -5*i - 4*k + 4 = -3*i, 3*k + 7 = i for i. 4 Solve 0 = 3*f + 3, 0 = 3*z + f - 3*f + 10 for z. -4 Solve 16 = 11*h - 7*h - m, 16 = 4*m for h. 5 Solve 0 = 2*a - l + 6, 7 - 24 = a + 3*l for a. -5 Solve 4*s + 14 = -2*m, 16 = -2*s - 4*m - 0*m for s. -2 Solve -20*h - 28 = -25*h - 4*m, -2*h + 16 = 4*m for h. 4 Solve -4 = -2*k + 2*i - 14, 3*i + 3 = -3*k for k. -3 Solve -3*v = 5*q - 8, 3*v + 3 = 6*v for q. 1 Solve 0 = 3*f - 3*m + m + 4, -5*f = -5*m + 10 for f. 0 Solve -3*w + 5 = g, w = g + 1 + 2 for g. -1 Solve 24*o + 5*x - 35 = 22*o, 2*o - 3*x = -5 for o. 5 Solve -4*u - 4*f = 0, -4*u - 1 = -2*f - 19 for u. 3 Solve x + h - 4 = 0, 0*x + x + 4*h - 16 = 0 for x. 0 Solve -32*n + 2 = -28*n + 2*h, -2*n + 5*h = 41 for n. -3 Solve -5*g + 4*k - 15 = 0, 2*g + k = 5*g + 9 for g. -3 Solve 5*d + 3 = 4*l - 17, -2*d - 8 = 4*l for l. 0 Solve -2*i + 25 = -5*u - 6*i, 4*i = 0 for u. -5 Solve 4*g = -22*o + 27*o - 39, -3*g - 5*o - 3 = 0 for g. -6 Solve 2 = 29*h - 28*h - 2*z, 0 = 4*z + 4 for h. 0 Solve 35 = -4*z + 3*u, 25 = -4*z + 3*u - 2*u for z. -5 Solve -2*i + 4*x = 22, 9*i = 4*i + 5*x - 30 for i. -1 Solve 2*k = -r - 1, 2*r - 2*k + 5 = -3 for r. -3 Solve -5*o = -3*x - 23, -2*o + 3*x - 1099 = -1110 for o. 4 Solve 3*c = -n - 7, c + 45*n = 44*n - 5 for c. -1 Solve 0 = -2*q - 3*n + 177 - 183, 0 = 2*q + n - 2 for q. 3 Solve 4*y = -3*u - 7, 503*u + 5*y + 11 = 500*u for u. 3 Solve 0 = 5*q + 3*x + 13, -5*q - 3*x + 2*x = 21 for q. -5 Solve -4*y = a + 8, 102*y - 104*y = 2*a + 4 for a. 0 Solve 3*r = -2*c + 9, 3*c + 5*r - 10 - 5 = 0 for c. 0 Solve 5*y = 2*s - 3*s + 6, -3*y - 3*s - 6 = 0 for y. 2 Solve -4*g + 5*s + 30 = 0, -5*g - 26*s + 22*s = -17 for g. 5 Solve i = -3*o - 12, 0*o = 4*o + 3*i + 21 for o. -3 Solve -5*j = u + 26, -4*u + 5*u = -2*j - 11 for j. -5 Solve 9*u - 8 = 7*u + 3*h, 0 = u + 4*h - 4 for u. 4 Solve 5*c + 4 = -4*n, n - c - 5 = 3 for n. 4 Solve -3 = u + 5*d, 5*u - d + 4*d = -15 for u. -3 Solve -10 = -4*t + 2*t + 4*b, -4*t + 5*b + 20 = 0 for t. 5 Solve -4*x + 2*o - 10 = 0, 2*x - 6*x + 3*o - 15 = 0 for x. 0 Solve t + 4*k = -7, 3*t + 3*k = -4 + 10 for t. 5 Solve 0*u - 3 = 5*a - 4*u, -5*a = -u + 12 for a. -3 Solve v = -3*r + 8*r - 40, 2*v + 45 = 5*r for v. -5 Solve -3*d = z + 20, 2*d = 5*z - d + 10 for z. -5 Solve 0*w = 4*w - 4*p + 20, -25 = 3*w - 5*p for w. 0 Solve 0 = -2*f - 3*q + 9, -8*f + 5*q = -4*f - 7 for f. 3 Solve -244*r + 248*r = 3*h + 25, 2*h + 14 = 2*r for h. -3 Solve 5*o - 5*b = -3 - 7, -b = 2*o + 4 for o. -2 Solve -2*i + 7 = -o, -16 = -5*i - 4*o + 21 for i. 5 Solve -3*o = 5*i + 35, o + 13 = 3*i + 20 for i. -4 Solve 0 = 3*u - 9, 2 = 2*f + 3*u - 13 for f. 3 Solve 3*q + 12 = 0, -258*q + 10 = 5*d - 263*q for d. -2 Solve 3*r + 49 = 3*m + 8*r, 3*m + 3*r = 39 for m. 8 Solve 3*x + 16 = 4*p - 11, -11 = 3*p + 4*x for p. 3 Solve -7 = 2*o - p - 11, -2*o - p = -8 for o. 3 Solve -4*v + 5*u = -28, 13 - 1 = -3*u for v. 2 Solve 5*m + a = 2*a + 23, -3*a = -6 for m. 5 Solve -4*i - 3*w = -7, i - 4*w + 12 =
{ "pile_set_name": "DM Mathematics" }
hich is the smallest value? (a) -1/7 (b) 0.5 (c) 4 (d) r a Let k(o) = o**2 - 14*o - 12. Let a be k(15). Suppose 106 - 112 = a*d. Let y = -8 + 7.78. What is the biggest value in d, 0, 2/15, y? 2/15 Let j(d) = -d**2 + 12*d + 29. Let h be j(14). Let k be (50/(-75))/(1*(1 + h)). What is the third biggest value in k, -3, 11? -3 Let o = 62 + -100.5. Let w = o - -39. Let l = 320 + -320.3. Which is the second biggest value? (a) -1/2 (b) 1 (c) w (d) l c Let u = 45 + -226/5. Let q = 34798/19 - 556635/304. Which is the third biggest value? (a) u (b) q (c) 2/11 a Let w = 1613.3 - 1613.4. Let z = -5 - -4.7. Which is the biggest value? (a) z (b) w (c) 31 c Suppose -j - 3 = -d, 3*d - 1 = -2*j - 7. Suppose d*l + 20 = -5*l. Let i = 1 + -2. What is the fourth smallest value in i, l, 4, -2? 4 Let v be (-2)/(-3) - 9/(1080/92). What is the third smallest value in v, 8, -2, 0? 0 Let y = -693 + 657. Let u = 35.6 + y. Which is the fourth biggest value? (a) -2/13 (b) u (c) 0 (d) 79 b Let p be 13/((-845)/962)*(-300)/42. Which is the third smallest value? (a) -2 (b) -6 (c) p c Let c = -5 - -4. Let t = -15042 - -15042. What is the second biggest value in c, t, 6, -2? t Let w be (1 + (-1909)/1912)*((-247)/(-57) - 3). Which is the smallest value? (a) 3 (b) 0.5 (c) w c Let u = 0.4 + 0.1. Let v = 48750.7 - 48751. What is the biggest value in 1, -4, u, v? 1 Let t be 9 - 13 - (5 + (-275)/30). Let v be ((-24)/(-16))/(2/(-4)). Let s be (-6)/42*(0 + -3). Which is the second biggest value? (a) t (b) s (c) v a Let f = -614501/14 - -43872. Let j = 129/7 + f. Which is the third biggest value? (a) 0.4 (b) j (c) -2/5 (d) 2/3 c Let g = -85 - -114. Let n = g - 30. Let q(y) = -y**3 - 10*y**2 - 10*y - 4. Let o be q(-9). What is the third smallest value in o, 10, n? 10 Let z be (2 - 1) + (-19)/((-1140)/(-72)). What is the fourth biggest value in -12, 4, 2/3, z? -12 Let h = 4 - 2. Let p be 21/6 + -3 - h. Let c = 0.271 + -0.171. What is the second smallest value in -4, c, p? p Let k = 25052.4 - 25037. What is the fourth biggest value in k, -2/21, 5, 0.1, 1? 0.1 Let h be 2*2/12*-1. Let j = -236225/2 - -118112. What is the fourth smallest value in -27/10, -5, j, h? h Let k = -48 - -70. Let s = 21.65 - k. Let y = s - -0.35. Which is the second smallest value? (a) 25 (b) y (c) -2/7 b Let p be 12 + (-43)/(387/(-1242)). Which is the second biggest value? (a) 0.3 (b) p (c) -1/8 a Let l be 412/(-364) + (-234)/(-182). Which is the third biggest value? (a) 1/5 (b) l (c) -0.2 (d) -2/7 c Let u = 4373.7 - 4374. Suppose -5*y = 20, -4*x + 4 + 0 = y. Which is the third smallest value? (a) x (b) 0.2 (c) u (d) -4/7 b Let t be 26/(-42) + 4/14. Let u = -4/4855 - -9754/53405. Which is the second biggest value? (a) u (b) 3 (c) t a Let l be (-156)/(-45) + (-1)/((-9)/3). Let k = -18/5 + l. Let f be (3/(-9))/(3/36). Which is the smallest value? (a) 2 (b) k (c) f c Let b = -12.34 - 20.66. Let l = 119 + -85.6. Let f = l + b. What is the second biggest value in -1, -1/8, f? -1/8 Let h = 288.92 + -290.92. What is the third biggest value in 1.7, 0.056, h? h Let y = -9 - -5. Which is the second smallest value? (a) -15 (b) 0.5 (c) y (d) 2/13 c Let o = 2495/14 - 1216/7. What is the second biggest value in -0.3, -1/5, 0.02, -2/13, o? 0.02 Let q be 0*((-66)/(-9) + -5 - 2). What is the second smallest value in q, -0.3, 387.2? q Let i be 3/(-60) - (-1)/5*-1. Let n = -62 + 88.5. Let h = 26 - n. Which is the second biggest value? (a) h (b) -2 (c) i a Suppose 5*k + 6 = 4*g, 3*g = 4*k - 2 + 6. Suppose -65*j = -58*j + 14. Let m be (9/(-3 + -24))/(j/8). What is the second smallest value in -5, 7, m, k? m Let u = -43.74 + 44.04. Which is the biggest value? (a) 0 (b) -0.08 (c) -5 (d) -7 (e) u e Let m = -49 + 48. Let w be ((-14)/6)/(-22 + 23). What is the smallest value in m, w, 0.5? w Let s be 4/(-6)*985/100. Let b = 37/6 + s. Let g = 14/31 - 188/279. What is the smallest value in b, -1/3, g? b Let l = 6489 + -6492. Which is the third smallest value? (a) -1 (b) l (c) -2/3 c Let z = -3528.3 - -3527.3. Which is the fourth biggest value? (a) 1 (b) z (c) -1/4 (d) 0.1 (e) -4/5 e Let u = -1792 - -1831. What is the biggest value in 2/7, u, -0.2? u Let y = 149.5185 - 149.49. Which is the smallest value? (a) 0.5 (b) -5 (c) y b Let x = -1/81 - 232/891. Suppose 10 = 4*z - 2. Suppose 0*h = 2*h + z*d + 18, -3*h + 11 = -5*d. Which is the second smallest value? (a) x (b) h (c) 0 a Let h = 2437.01 - 2437. What is the fourth smallest value in h, 2/11, 1/5, 4, -0.4? 1/5 Let x be 2/(-12) - 44/24. Let y = -320 - -319. Let d = -5 - y. What is the fourth biggest value in x, 5, d, -5? -5 Let j be 18/36*(-1)/2. Which is the smallest value? (a) j (b) 4 (c) -0.3 (d) -3/8 (e) 0.09 d Let t(r) = -2*r**2 - 7*r - 6. Let p be t(-2). Let q be -4 - (-3)/2 - (p - 3). What is the second smallest value in q, 0.1, -2? 0.1 Let y = -6 - -8. Let r = -614010 + 614010.2. What is the smallest value in -2, y, r? -2 Let j = 5996 - 6036. What is the second smallest value in j, 4, 0.4, -0.2? -0.2 Let v = 38.12 + -0.12. Let u = 144 + -179. Let o = u + v. What is the fourth biggest value in -4/7, 5, 2/5, o? -4/7 Let r be 0 + 0 + (-214)/(-1819). Which is the smallest value? (a) r (b) -6/5 (c) -124 c Let i = 290.8 + -292.8. Which is the second smallest value? (a) -3/4 (b) -1.2 (c) -3 (d) i d Let o = 2620 - 2621. What is the second biggest value in 1/2, 5, o? 1/2 Let n = -70.4 + 10.4. Let u = -87 - -32. Let x = u - n. Which is the third smallest value? (a) -2 (b) x (c) 1/8 (d) -1 c Suppose 5*y - 2*y - 114 = 0. Suppose -3*m + 2*b = -y, -2*b - 4 = 4. Let x be (-8)/m - 301/(-245). What is the second biggest value in 2, 0.08, x? x Let z be ((-10)/4)/(2 - 12). Let q = 0.7 + -0.5. Suppose 2 = n - 1. Which is the fourth biggest value? (a) n (b) z (c) 5 (d) q d Let j(k) = -2*k**3 + 5*k**2 + 3*k. Let t be j(0). Which is the fifth biggest value? (a) -21 (b) -0.4 (c) t (d) 4 (e) 0.4 a Suppose -v - 4*g = 3*v - 88, 3*v = -2*g + 61. Let y = 4/125 - 29/125. Which is the smallest value? (a) v (b) y (c) -3 c Let d(q) = -q**3 + 2*q**2 + 2*q - 1. Let t be d(2). Let y be (-15)/(-705) + (-26574)/3102. Which is the second biggest value? (a) t (b) 1 (c) y b Let c = 14062 + -14064. What is the biggest value in -4, -1096, c? c Let j = 7 + -13.1. Let h = -6.6 - j. Let l(c) = -c**3 + c**2 - c - 3. Let q be l(0). What is the second smallest value in h, -0.4, q? h Let p(s) = -11*s - 27. Let h be p(29). Let l = h + 344. What is the third biggest value in -6, 2/7, 1, l? l Let p = 14.84 + 0.16. Let s = -13 + p. Let w = 4.84 - -0.16. Which is the fourth smallest value? (a) s (b) 1/2 (c) w (d) -4 c Let d = 973/228 - 229/57. Let w = -3.1 - -3. What is the third biggest value in -3, w, 1, d? w Let s be (-13)/(-78) - (-2)/240*-5. Let r = 8150 - 65585/8. Let m = 48 + r. Which is the second biggest value? (a) 2.4 (b) m (c) s (d) 2/11 d Let k be (-1)/(0 - 2/(-10)). Let f = k + 4. Suppose 54*p = -t + 56*p - 1, 2*p - 2 = 0. Which is the second smallest value? (a) 1/3 (b) t (c) f a Let z = 93 + -78.7. Let f = -14.4 + z. Which is the third biggest value? (a) f (b) 0.3 (c) 4 (d) -6 a Let r = -729.2 - -730. Which is the smallest value? (a) -4 (b) -17 (c) r (d) -5 b Let g = -426/5 - -85. Let r(n) = 2*n**3 + 57*n**2 + 79*n - 58. Let k be r(-27). Which is the second smallest value? (a) k (b) 5/4 (c) g c Suppose 2*p + 5*s - 4 = 0, 2*p - 4*s + 2 = 6. Let f be (p/(-7))/((-18)/14). Let i = 1348/15 + -9406/105. What is the fourth smallest value in -4, -3, i, f? i Let x = -2391 - -2398. Suppose -15 = 6*i - 3*i, -2*h + i = -3. What is the fourth biggest value in x, h, -3/8, 1? h Let k = -290.08 - -285.08. Let j be ((-3)/(-4))/((-22)/8). Which is the smallest value? (a) -1/2 (b) k (c) j b Suppose -n + 2 = 0, 4*d - 533*n - 52 = -537*n. What is the fifth biggest value in d, 0.05, 1/9, -9, 2? -9 Let t = 1.2 + -0.7. Let h = -0.1 - -0.3. Let u = -6712 + 6711.9. Which is the smallest value? (a) u (b) h (c) t a Let r(z) = 3*z**3 + 93*z**2 + 93*z + 94. Let w be r(-30). Let t = 189/62 + 14/31. Which is the biggest value? (a) w (b) t (c) 2/5 a Let m = 0.9 - 0.3. Let g = 134.21 + -0.21. Let j = g + -134.06. Which
{ "pile_set_name": "DM Mathematics" }
5/3? (a) 1.1 (b) -3 (c) -0.4 (d) -1/2 a What is the closest to -191 in -0.22, 1, 3, -2? -2 Which is the closest to 205/6? (a) -0.1 (b) -6/469 (c) -4 (d) 1 d What is the closest to 1 in -4, 0.075, -1.9, 0.1? 0.1 What is the nearest to -1 in 58, 3, -1/2, -1975/4? -1/2 Which is the nearest to -2/7? (a) 2 (b) -786 (c) 0.4 (d) -3/8 (e) 1/8 d Which is the closest to 3/4? (a) -0.13 (b) 1 (c) 1.8 b Which is the closest to 1.7? (a) 4 (b) -1/7 (c) 11 (d) -0.2 b Which is the nearest to 1? (a) -2/13 (b) 0.2 (c) 2 (d) 1.17 (e) 7/3 d What is the nearest to -9 in -9/89, -3, -0.4? -3 What is the nearest to -0.2 in 1/3, 0.4, 225? 1/3 Which is the nearest to -1/4? (a) -1 (b) -0.1 (c) -12414 b Which is the nearest to -352? (a) 1 (b) -1 (c) 3 (d) -2/3 (e) -17 e What is the closest to 2/5 in 3/17, 1/56, -2? 3/17 What is the closest to 1/5 in -1, 30/53, -0.9? 30/53 Which is the closest to -1? (a) -60 (b) 1 (c) 2/9 (d) 4/9 (e) 3 c What is the nearest to -3 in -2.45, 2/11, -0.2, -2? -2.45 Which is the nearest to -0.1? (a) -2/93 (b) -1 (c) 1/4 (d) 414 (e) 0.1 a Which is the nearest to 93? (a) 34 (b) -0.3 (c) -4 a Which is the closest to -1? (a) 0 (b) 243 (c) 0.62 (d) 3/5 (e) -2/7 e What is the nearest to 2 in -1/3, 2/9, -3, 263? 2/9 Which is the nearest to -33? (a) -4 (b) -8 (c) 0.2 (d) -1 (e) 6 b What is the nearest to 1/12 in -2, -4, 0.12, -0.008? 0.12 Which is the closest to 18? (a) -2/7 (b) 1.2 (c) -4 (d) -3 (e) -2/3 b Which is the nearest to -5? (a) -41/5 (b) -2/5 (c) -1/10 a Which is the nearest to -2/7? (a) -1/11 (b) 2 (c) 0.5 (d) 58/333 a What is the closest to 1 in -5, -5/2, -5/712? -5/712 What is the nearest to 0.029 in -1/4, -14, 10? -1/4 What is the closest to -1 in -3/4, -0.02, 4.8, 0, -0.3? -3/4 Which is the closest to -0.2? (a) -0.32054 (b) 3/5 (c) 1/3 (d) 1 (e) -2/5 a Which is the closest to 11/5? (a) -1/3 (b) 2/7 (c) -2/3 (d) -0.5 (e) -1 b What is the closest to -0.1 in 5, -0.0211, -5/6? -0.0211 What is the nearest to 0.2708 in -5, 2, 1/2? 1/2 What is the nearest to 5 in -0.15, -5, -42, 2/11, 1? 1 Which is the closest to 0.1? (a) 5 (b) -3/13 (c) 4 (d) -107 b What is the nearest to 2 in -3/5, -29, 0, -44? 0 What is the closest to -90/13 in 0.1, -2, 4? -2 What is the nearest to 2/9 in 7, -4, -2/5, 4, -3/4? -2/5 What is the nearest to 10 in 0, -0.4, 3/5, 7, 5? 7 What is the nearest to 1 in -2, -13, -644, 0? 0 Which is the nearest to -3/8? (a) 4/7 (b) 2/21 (c) 14 (d) 2 b Which is the nearest to -3? (a) 0.5 (b) 23 (c) 1379 (d) 3/8 (e) 1/3 e What is the nearest to 5 in 2, 2/11, -103, -13? 2 What is the closest to -824/3 in -0.2, -2, 0.3, 2/3? -2 What is the closest to 14/9 in -3, 5, 1/158, -4? 1/158 What is the nearest to -1 in 41, 5, 1, -1/5? -1/5 Which is the nearest to 1? (a) -0.09 (b) 1 (c) 318/11 (d) 3 b Which is the nearest to 0.2? (a) -0.2 (b) -79 (c) 18 (d) 1/2 d What is the closest to 0.0748 in 1, 14, -4? 1 What is the closest to -2/5 in 44/5, 1/18, 2, -1/8? -1/8 Which is the nearest to -7/6? (a) 2.35 (b) -3/5 (c) -1/7 b Which is the closest to -0.3? (a) 4 (b) -2/9 (c) 2 (d) -6.2 b Which is the closest to 10? (a) 2 (b) 0.1 (c) 9/8 (d) -0.09 a Which is the closest to 1/5? (a) 0.03 (b) -123 (c) 4/7 a Which is the closest to -1? (a) 3 (b) 8010 (c) 0.11 c What is the nearest to 1/4 in 108/13, -5, 2/15, -11, 2/13? 2/13 What is the closest to 7.9 in -10/9, -5, 35? -10/9 Which is the nearest to 0.9? (a) 1/5 (b) -1 (c) -3 (d) 34/7 a Which is the nearest to 0? (a) 0 (b) 256 (c) -3/5 (d) 2/11 a Which is the nearest to 17? (a) -2/3 (b) 2/25 (c) -0.2 b Which is the closest to 0.1? (a) 7.39 (b) 0.04 (c) -2 b Which is the nearest to 1? (a) -2 (b) -4 (c) -4/5 (d) -11 (e) 30 c Which is the closest to 1/9? (a) -55 (b) -2/7 (c) -2/9 (d) -16 (e) 1 c What is the closest to -0.116 in -1/6, -1/2, -3, -0.3, 0.5? -1/6 What is the closest to -2/19 in -2/3, 4, -3? -2/3 What is the nearest to -2 in 4, 1, -15587? 1 Which is the nearest to 3.8? (a) -0.2 (b) -2 (c) -0.13 (d) -0.05 d Which is the closest to -18? (a) -0.4 (b) 779 (c) 5 a What is the nearest to -0.1733 in 4, 0, 1, 2? 0 What is the closest to -0.4 in -2, -10, -5, 44? -2 What is the closest to 0.12 in 0.0478, 0.2, -5? 0.0478 Which is the nearest to 15? (a) -3 (b) 2048 (c) 0.4 (d) 2/17 c What is the closest to 65 in 5, 215, -3? 5 What is the nearest to 0.1 in -3/5, -5, 0, 0.3, -4.9? 0 Which is the closest to 0.1? (a) 2928/7 (b) 0 (c) -2/13 (d) 1/4 b What is the nearest to -2 in 4, 20, 0.039? 0.039 What is the closest to -0.3 in 96, 5, -5/3, -4? -5/3 Which is the nearest to 33? (a) -5.6 (b) 2 (c) -0.01 (d) -0.4 b What is the closest to -2/11 in -5, 0.136, 4, 0.4? 0.136 Which is the nearest to 1? (a) -77 (b) 58 (c) 1/2 c Which is the closest to 0.1? (a) 0.5 (b) -0.08 (c) -3/7 (d) -5 (e) 0.1 e What is the closest to 93 in -5, -61, -4? -4 What is the nearest to 186 in -1, -0.022, -0.4, -1/6? -0.022 What is the closest to 0 in -16/3, 189, -4/3, -0.1? -0.1 What is the closest to 1/3 in 5/8, -1/2, -265, -2/19? 5/8 What is the nearest to 104 in 47, 0.2, 9? 47 Which is the closest to -4/5? (a) 1/7 (b) 3 (c) -0.399 c What is the nearest to 14 in -1/3, 8, -4, 0.3? 8 What is the closest to 2 in -2, 2, 37, 0.029? 2 Which is the closest to 2/11? (a) 4 (b) 2/69 (c) -1/6 b Which is the nearest to -2/7? (a) -0.1465 (b) -9 (c) 3 a Which is the nearest to -2.72? (a) 0.3 (b) 0.5 (c) -3 (d) 4 c What is the nearest to 637 in -0.5, -5, -1, 1/10? 1/10 Which is the nearest to 2? (a) 2 (b) -4 (c) -10 (d) -20 (e) -8.3 a Which is the closest to -0.2? (a) -0.1 (b) -0.2 (c) -82 (d) 4 (e) 0.4 b Which is the closest to 14? (a) -17 (b) 5 (c) 5/4 (d) -0.5 b What is the nearest to 9/4 in 0.2, -39, -1, 2? 2 Which is the closest to -3? (a) 7 (b) -5 (c) 0.3 (d) -0.06 (e) 9 b Which is the nearest to -0.03? (a) -28 (b) -1/6 (c) -2 (d) 1/5 b Which is the closest to -0.1? (a) -8170 (b) -2 (c) 2 (d) -5 (e) 4 b Which is the closest to 3/2? (a) -0.5 (b) -140 (c) 4 (d) 9.74 a What is the closest to -0.4 in -2/17, -0.11, -27.963? -2/17 What is the nearest to -0.1 in -0.3, -16.6, -15, -4, 0.3? -0.3 What is the nearest to -1 in 0.4, 0.0816, 0.1, 2, 4? 0.0816 Which is the closest to -0.1? (a) 0.05 (b) 0.4 (c) -76 (d) 1 a Which is the nearest to 1? (a) -8 (b) -1/2 (c) -1.3 (d) 2/3 (e) -4 d Which is the closest to -11? (a) 0.4 (b) 2 (c) -10.2 c What is the closest to -0.5 in 2, -0.934, 1, 5, 0.2? -0.934 Which is the nearest to 0.14? (a) -1 (b) -16.7 (c) 3 (d) 1/10 (e) 1 d What is the closest to -4 in -23, -0.1, -4, -0.3, 8? -4 Which is the nearest to -1.2? (a) -6 (b) -4 (c) -2/13 (d) 2/13 c What is the closest to -1/4 in 0.2, -24.138, 2? 0.2 What is the nearest to -0.2 in -3, 1, -5, 14, 2? 1 What is the closest to -4 in -4, -1.1, 5, -2? -4 What is the closest to 0.14 in 1/8, 5, 21.8? 1/8 What is the closest to 0.3 in -0.3, 0.3, 0.1, 2, 1/835? 0.3 What is the nearest to 1663 in -5, -0.4, 3/8? 3/8 What is the closest to -2 in 0.288, -1, 3? -1 What is the nearest to -23 in -4, 32, -18? -18 What is the nearest to 58 in -7.1, 0.5, 0.4? 0.5 Which is the nearest to 4/3? (a) -2 (b) -4 (c) -2/1183 c What is the nearest to -0.2 in 1, -3/32, -6? -3/32 What is the nearest to 419 in -3/2, -12, 4/3? 4/3 What is the closest to -3 in 0, 0.149, 238? 0 What is the closest to 2 in 2, 0, 7, 5, 1/20? 2 Which is the closest to 2/7? (a) -0.1 (b) -1 (c) -2 (d) -0.03 (e) -824 d Which is the closest to -2/3? (a) 12 (b) -1 (c) 18 (d) -37 b What is the nearest to -1.6 in 1/3, 3, -2, -0.04? -2 Which is the closest to -4? (a) 13.2 (b) -5 (c) 0.3 (d) 18 b What is the nearest to -0.1 in 2.3, 4, 2, 5, 0? 0 What is the nearest to 3.4 in 1/5, -1/229, 2/55? 1/5 What is the closest to -11 in 4/5, 12, 1, 18, 0.1? 0.1 What is the closest to -5 in 11.29, 3/4, 92? 3/4 What is the closest to 0.2 in 1/3, -5, -1/21, 96/167? 1/3 What is the closest to -10 in 1, -4, 3, 4, -337? -4 Which is the closest to 0.2? (a) -1 (b) 1/5 (c) 234 b What is the closest to -0.1 in 31236, 0.2, -0.1, -1? -0.1 Which is the closest to 44? (a) 2/25 (b) -3 (c) 5 (d) -2/5 c What i
{ "pile_set_name": "DM Mathematics" }
rt z. 340*z**3 Let g(p) be the first derivative of 0*p**2 + 73/5*p**5 + 0*p - 41/3*p**3 + 19 - 1/2*p**4. What is the third derivative of g(v) wrt v? 1752*v - 12 Let p(i) be the first derivative of -1/2*i**4 + i**3 - 4 + 67/2*i**2 - 2*i. What is the second derivative of p(s) wrt s? -12*s + 6 Suppose 24*f = 10*f + 280. What is the third derivative of -19*n**4 - 31*n**3 - 8*n**2 - 141*n**2 + f*n**4 wrt n? 24*n - 186 Let p(l) = 14930*l**2 + 8965*l - 104. Let u(n) = 4978*n**2 + 2989*n - 39. Let c(d) = 3*p(d) - 8*u(d). What is the second derivative of c(k) wrt k? 9932 Let n(b) be the first derivative of 19/6*b**6 + 0*b**5 + 7/3*b**3 + 0*b**4 + 0*b**2 + 18 + 0*b. What is the third derivative of n(q) wrt q? 1140*q**2 What is the third derivative of -3337*i**2 + 39*i**3 + 35*i**2 - 2265*i**3 - 261*i**2 wrt i? -13356 Let l(p) be the first derivative of 47*p**8/840 + 15*p**4/8 - 61*p**3/3 - 30. Let k(u) be the third derivative of l(u). Find the first derivative of k(n) wrt n. 376*n**3 Let g be (-3)/((-2)/42*1). What is the derivative of -4*q - 77 + g - 62 wrt q? -4 Let k(p) be the first derivative of -3*p**7/7 - 1446*p**5/5 - 611*p**3/3 + 4987. Find the third derivative of k(d) wrt d. -360*d**3 - 34704*d Find the second derivative of -29*j - 2 + 129*j**2 + 143*j**2 - 279*j**2 wrt j. -14 Let k be (-4*(-92)/32)/((-3)/(-6)). What is the first derivative of -32 + 40*f**4 + f**3 - k - 1 + 11*f**3 - 14*f**3 wrt f? 160*f**3 - 6*f**2 What is the third derivative of -1467*k**4 - 75156*k**2 + 37688*k**2 + 45557*k**2 wrt k? -35208*k Let y(j) = 44618*j**3 + 15*j**2 + 75*j + 25507. Let d(i) = 6373*i**3 + 2*i**2 + 10*i + 3644. Let k(f) = -15*d(f) + 2*y(f). Differentiate k(w) wrt w. -19077*w**2 Find the third derivative of -1109*m**2 - 37323*m + 37323*m - 306*m**4 wrt m. -7344*m Let z(c) = c**3 + 19*c**2 - 41*c + 24. Let v be z(-21). Let m be 6/((-2 + 3)*2). What is the first derivative of 22*h**3 - 14*h**m + 12 - 16*h**v wrt h? -24*h**2 Let k(r) be the first derivative of 0*r**4 - 22/3*r**3 + 0*r + r**2 + 28/3*r**6 - 34 + 0*r**5. What is the third derivative of k(h) wrt h? 3360*h**2 Let v be (2405 + -100)*2/10. Find the second derivative of 4*p**3 + p**2 + v*p - 158*p + 2*p**3 + 6*p**3 wrt p. 72*p + 2 Let f(z) be the second derivative of 0 + 0 + 12*z**3 - 41*z**2 + 82*z**2 - 4*z + 1. What is the first derivative of f(o) wrt o? 72 Let s(l) = -1373*l**2 - 645*l - 4. Let w(u) = -4118*u**2 - 1918*u - 11. Let g(y) = -11*s(y) + 4*w(y). What is the second derivative of g(b) wrt b? -2738 Find the third derivative of 24*k - 34*k - 3055*k**2 + 107*k**2 + 10*k + 4888*k**3 wrt k. 29328 Let c be (3 - (-56)/(-21))/(3/3933). Find the third derivative of 277*x**4 - 2*x**2 - 9 + 53*x + 9 - c*x**4 wrt x. -3840*x Suppose 7*k + 11 = 6*k. Let y(x) = x**3 + 12*x**2 + 9*x - 18. Let p be y(k). Find the second derivative of -10*q**p + 27*q - 2*q**4 + 5*q**4 - 6*q wrt q. -84*q**2 Let c(p) be the second derivative of -p**6/10 - 2801*p**5/20 - p**4/12 - 89*p**3/3 - 11*p**2/2 - 824*p. What is the third derivative of c(g) wrt g? -72*g - 16806 Let n(v) be the third derivative of -17*v**6/15 - v**5/20 + 232*v**3/3 + 26*v**2. Differentiate n(y) with respect to y. -408*y**2 - 6*y Let j(r) be the second derivative of 23*r**5/60 - 10*r**3/3 + 39*r**2/2 + 36*r. Let n(m) be the first derivative of j(m). Differentiate n(g) with respect to g. 46*g Let c(j) be the second derivative of -51*j - 9/4*j**5 + 1/30*j**6 + 0 + 121/6*j**3 + 0*j**2 + 0*j**4. What is the second derivative of c(l) wrt l? 12*l**2 - 270*l Differentiate 1650*z**2 + 4*z**3 - 4*z + 6369 + 3*z + 4*z - 820*z**2 - 824*z**2 with respect to z. 12*z**2 + 12*z + 3 Suppose -4*g - 4*f = -12, 0 = -g + 5*f - 4 + 1. Let k be (-936)/(-195) - (-24)/20. Find the third derivative of 21*n**6 + 36*n**g - 4*n**k - 62*n**2 wrt n. 2040*n**3 Suppose -b = -4*x - 157, -3*b + 65 + 16 = -2*x. Let u = -31 - x. What is the second derivative of -6*z**4 + 2*z**4 + 3*z**4 + 9*z - u*z**4 wrt z? -108*z**2 Let i(d) = 173*d**2 - 3*d + 1. Let t(g) = -175*g**2 + 5*g + 3. Let b(a) = -5*i(a) - 4*t(a). What is the second derivative of b(n) wrt n? -330 Let f(n) = 32*n**2 + 369*n + 13537. Let b(g) = 17*g**2 + 185*g + 6766. Let j(v) = 15*b(v) - 8*f(v). Differentiate j(c) wrt c. -2*c - 177 Let u be 20*(-4)/6 + (-26)/39. Let k(y) = -2*y + 53. Let q be k(u). What is the second derivative of -43*i**5 + q + 29*i - 81 wrt i? -860*i**3 Let r = 132 - 122. What is the first derivative of -2705 - r*d**4 + 3*d - 5*d**4 + 4*d**4 + 2744 wrt d? -44*d**3 + 3 Let f(k) = 14605*k**2 + 63*k + 12675. Let x(s) = 2922*s**2 + 12*s + 2535. Let t(w) = -8*f(w) + 42*x(w). What is the first derivative of t(b) wrt b? 11768*b Let f(g) = 2*g**5 + g**4 + g**3 + g - 2. Let r(t) = 58*t**5 - 2*t**4 + 6*t**3 - t - 46. Let j(c) = -6*f(c) + r(c). Find the second derivative of j(p) wrt p. 920*p**3 - 96*p**2 Let u(d) be the first derivative of -d**8/112 + 2*d**6/45 - 226*d**3/3 - 88. Let c(z) be the third derivative of u(z). Find the third derivative of c(r) wrt r. -360*r Let d(f) = -f + 1. Let j(m) = -9. Let h(r) = -4*d(r) - j(r). Let w be h(2). What is the third derivative of -146*c**2 - w*c**3 + 145*c**2 - 17*c**3 wrt c? -180 Suppose -107*a + 288 - 33 + 66 = 0. Let g(p) be the second derivative of -43/2*p**2 - 17/3*p**a + 0 - 30*p. What is the derivative of g(n) wrt n? -34 Find the first derivative of 29*w - 1691 - 5*w**2 - 12*w + 11*w**2 + 7*w**2 + 31*w wrt w. 26*w + 48 Let k(f) = -7*f - 196 - 23 - 62 + f. Let d(q) = 6*q + 279. Let z(u) = -3*d(u) - 2*k(u). What is the derivative of z(i) wrt i? -6 Let p(t) be the first derivative of -1/3*t**3 + 77 - 7/4*t**4 + 143*t + 0*t**2. What is the derivative of p(g) wrt g? -21*g**2 - 2*g Suppose 28*r + 40 = 24*r. Let h be 3 - 528/r - 3/(-15). Find the second derivative of 39*i - h*i + 51*i + 24*i**2 wrt i. 48 Let d(t) be the second derivative of -683*t**6/10 - 505*t**4/12 + 16*t + 2. Find the third derivative of d(h) wrt h. -49176*h Let d(m) = 9*m**3 - 6*m**2 + 667*m + 3876. Let n(i) = 2*i**3 - i**2 - i - 1. Let j(t) = -d(t) + 6*n(t). What is the first derivative of j(f) wrt f? 9*f**2 - 673 What is the third derivative of -214*h**3 - 760*h**3 - 2512*h**2 + 2368*h**2 wrt h? -5844 Let w(k) be the second derivative of -4 + 27/2*k**3 - 5/6*k**4 + 0*k**2 + k + 0*k**6 + 0*k**5 - 5/42*k**7. What is the second derivative of w(p) wrt p? -100*p**3 - 20 Suppose -s + 13 = -0*z + 4*z, 5*z + 4*s = 8. Let a = 97 + -69. Differentiate -17 - 3*y**z + a + y**4 - y**4 wrt y. -12*y**3 Let z(o) be the third derivative of -o**7/210 + 9*o**6/8 + 5029*o**4/12 - 1979*o**2. Find the second derivative of z(u) wrt u. -12*u**2 + 810*u What is the second derivative of 37*r**5 + 9*r - 32 + 13*r**5 - 13*r**5 - 10*r**5 + 35*r**5 wrt r? 1240*r**3 Find the second derivative of -3145*l**5 - 2 + 151*l + 66*l**3 + 158*l**3 - 224*l**3 wrt l. -62900*l**3 Let d(m) = -2*m**3 + 5*m**2 + 3*m + 1. Let j be d(-2). Suppose j + 5 = 4*v. What is the third derivative of -128 + 3*h**2 - v*h**4 + 128 + 9*h**2 wrt h? -216*h Let f(t) = -30*t**3 - 340*t**2 + 27*t + 9. Let y(d) = -8*d**3 - 85*d**2 + 6*d + 2. Let m(p) = -4*f(p) + 18*y(p). Find the third derivative of m(s) wrt s. -144 Let u(l) = 21*l**3 - 68*l**2 + 10*l - 891. Let c(k) = -16*k**3 + 67*k**2 - 8*k + 890. Let x(p) = -5*c(p) - 4*u(p). Differentiate x(w) wrt w. -12*w**2 - 126*w Let m(w) = 2*w + 12. Let x be m(-5). What is the third derivative of 115*v**3 - 20*v**2 - 26*v**3 - 25*v**x - 38*v**2 wrt v? 534 Let v = -432 + 518. Find the second derivative of 39*w**4 + 48*w**4 + 293*w - 10*w**3 - v*w**4 wrt w. 12*w**2 - 60*w Let t(x) be the third derivative of 6341*x**4/24 - 49*x**3/6 - 55*x**2 - 51*x. What is the derivative of t(j) wrt j? 6341 Let r be (-18)/162 + 230/45 + 1. Let g(n) be the second derivative of 0 + 0*n**4 + 0*n**2 + n**5 - 4/3*n**3 + r*n. Find the second derivative of g(t) wrt t. 120*t Find the third derivative of -3 + 3306*z**4 - 8338*z**3 + 8338*z**3 - 496*z**2 wrt z. 79344*z Let f(w) = -532 + 50*w - 102*w - 141*w + 191. Let z(k) = -292*k - 511. Let l(p) = 7*f(p) - 5*z(p). Differentiate l(q) wrt q. 109 Let p = 372 + -242. What is the third derivative of r**3 - 3*r + 2*r - 11*r**2 - r**3 + 7*r - p*r**4 wrt r? -3120*r Let s be (1 + -5 + 36/12)*-3. Suppose 7*
{ "pile_set_name": "DM Mathematics" }
What is the highest common factor of r and c? 6 Let w(c) = 2*c**3 + 14*c**2 - 3*c - 42. Let v be w(-6). What is the highest common factor of 8912 and v? 16 Suppose 5*m = 3*x - 46224, -61609 = 190*x - 194*x - m. Calculate the greatest common factor of 211 and x. 211 Suppose -93 = -2*f + 15. Let o = f - 51. Suppose 0 = -o*g + 7*g - 140. Calculate the highest common factor of g and 7. 7 Let y be (-13)/(-52) - (-2)/(-8). Suppose y = 4*b - 70 - 38. Suppose -704 - 184 = -3*m + p, 3*m = -5*p + 906. What is the greatest common factor of m and b? 27 Let r = 62 - 60. Suppose r*b - 52 = 58. Calculate the greatest common divisor of b and 495. 55 Suppose -4*y - 2*c = -138 - 34, 2*c = 5*y - 206. Let x(m) = -9*m + 402. Let b be x(y). Calculate the highest common factor of 33 and b. 3 Let a be ((-2)/(-12) - (-11873)/186) + 2/1. Calculate the highest common divisor of 88 and a. 22 Let p = 184 - 160. Suppose -p*b + 17*b + 630 = 0. Calculate the greatest common divisor of b and 18. 18 Let w be (0/(-2))/(1 - 2). Suppose s - 4*s + 5*l + 1570 = 0, w = -2*s + l + 1049. Calculate the highest common divisor of 21 and s. 21 Suppose -673*d + 664*d + 4752 = 0. What is the greatest common factor of d and 66? 66 Let i = 37205 - 37023. Calculate the highest common factor of i and 4886. 14 Let b be (-5 + 31/7)/((-4)/14). Let p(y) = -2*y - 11*y + 2*y + b. Let x be p(-2). What is the highest common divisor of 8 and x? 8 Let g(t) = 34*t + 148. Let o be g(23). Calculate the highest common factor of 18 and o. 6 Let m = -20 - -32. Let k(w) = w**2 + 26. Let h be k(0). Suppose 2*v = -2*q + 12, -5*v - h = 2*q - 4*q. Calculate the greatest common divisor of q and m. 4 Let i be (2/4)/((-3)/18). Let b be -3*1 - (i - 54*-1). Let a = b + 60. What is the greatest common factor of 12 and a? 6 Suppose 0 = 153*o - 150*o + 1119. Let f = o - -422. Calculate the highest common factor of f and 98. 49 Let t = -8602 - -9349. What is the greatest common divisor of t and 9? 9 Let k be 1*(((-19)/(-3) - 7) + 29/3). Calculate the greatest common factor of 387 and k. 9 Suppose 43*h - 6*h - 66600 = 0. Calculate the highest common divisor of 50 and h. 50 Suppose -45*d - 221*d - 320*d = -213304. Let q(z) = -15*z - 2. Let o be q(-2). Calculate the highest common factor of o and d. 28 Let l be 2/3*(-4251)/26. Let p = l - -226. Calculate the greatest common factor of p and 13. 13 Let z(b) = -b**3 + 28*b**2 + 13*b - 51. Let k be z(27). Calculate the greatest common divisor of 1372 and k. 343 Let s be (2 + 165 - (3 - 4)) + -3. Suppose -4*i - 37 = -s. Suppose 6*n + i = 3*p + 4*n, -2*p = 5*n - 15. Calculate the greatest common divisor of 170 and p. 10 Suppose -484 - 3338 = -49*k. Calculate the greatest common divisor of 1989 and k. 39 Suppose 24 = -39*r + 45*r. Let n be r + 0 - (-41)/1. Calculate the highest common factor of n and 60. 15 Suppose 0 = 5*f - 6*f + 2*b - 292, -f + 3*b = 293. Let v = f - -299. Calculate the highest common factor of v and 15. 3 Let d = 281 - 278. Suppose -p + 160 = 4*q, 0 = -d*q - 3*p - 0*p + 120. Calculate the highest common factor of 160 and q. 40 Let b(y) = -2*y**2 - 4934*y + 19773. Let m be b(4). Let f be (2 - 0)*(-3)/(-6). What is the greatest common divisor of m and f? 1 Let q(z) = -7*z + 43. Let x be q(6). Let t(o) = -3*o**3 - 14*o**2 - 10*o + 3. Let y be t(-4). Calculate the highest common factor of x and y. 1 Let i be -9 - (-638*9/18)/1. What is the greatest common divisor of i and 20? 10 Suppose -2798 = -2*q + 78*b - 80*b, -5*q - 3*b = -6997. What is the highest common divisor of 525 and q? 175 Suppose 10*q = 11*q + 7. Let d(u) = u**3 + 11*u**2 + 13*u - 6. Let x be d(q). Calculate the highest common divisor of 9 and x. 9 Suppose 0 = -v + 3*v - 10, 3*l = -2*v + 3757. What is the highest common divisor of l and 1? 1 Let l(h) = 13*h - 36. Let u be l(7). Let d = 50 - u. Let r(z) = z**2 + z - 9. Let g be r(d). Calculate the highest common factor of g and 33. 11 Suppose -21*x - 292 = -25*x. Let n = x + -62. Suppose 0 = 3*q - 4*h - n - 17, -3*q - 5*h + 19 = 0. Calculate the highest common factor of q and 4. 4 Let t be (210/(-50))/((-3)/15 + 0). Suppose 8*a + t*a = 5568. What is the greatest common factor of 8 and a? 8 Let g be (-362 - -473) + 0 + 0 + 4. Suppose -5*w - 159 = -4*u, -164 = -0*u - 4*u + 4*w. What is the greatest common divisor of u and g? 23 Suppose -416*n + 321661 - 25885 = 0. What is the greatest common factor of 79 and n? 79 Let q = -132 - -220. Let x = 89 - q. Let b be (-81)/(-5) - (x - 4/5). Calculate the highest common divisor of b and 56. 8 Let o(x) = 6*x**3 - 7*x + 30. Let n be o(3). Calculate the highest common factor of 475 and n. 19 Let z(d) = -58*d - 436. Let b be z(-8). Calculate the greatest common divisor of b and 42. 14 Let t = -117 - -78. Let f = -38 - t. Let p = 76 - f. Calculate the highest common divisor of p and 30. 15 Suppose i + 3*i = 1044. Let q = -161 + i. Suppose -v = -5*v + q. What is the greatest common divisor of v and 75? 25 Let z be 28/98 - (-33)/7. Suppose -z*n - 185 = -2*w, -4*w + n = -379 + 18. Calculate the greatest common divisor of w and 50. 10 Let t be (-3225)/(-129)*(-424)/(-10). What is the greatest common divisor of t and 160? 20 Let s(z) = -27*z - 1. Let f be s(-1). Suppose -w = -70 + 12. Let g = w + -32. What is the highest common divisor of g and f? 26 Let r(j) = 2919*j - 10963. Let t be r(4). Let y(x) = -2*x + 7. Let u be y(-8). What is the greatest common factor of t and u? 23 Let c be (6/(-15))/(-3 + (-1074)/(-360)). Suppose -23*i - c = -93. What is the greatest common divisor of i and 111? 3 Let g be ((-3)/(-8)*4 - 1)*22. Suppose 0 = 3*x + 9, g*u - 4*x = 10*u + 411. Calculate the greatest common divisor of u and 57. 57 Let u = -33 - -72. Let f(z) = z**3 + 5*z**2 + 10*z + 161. Let p be f(-6). What is the highest common factor of p and u? 13 Suppose 6*l - 72 = -6*l. Suppose -l*r + 4*r = -5*g - 10, -5*r - 3*g = -25. Suppose 0 = -u - 2 + 3. Calculate the highest common divisor of u and r. 1 Let d = 460 - 458. Suppose -5*i + 2*q + 131 + 439 = 0, 0 = d*i + 5*q - 199. Calculate the greatest common divisor of i and 160. 16 Let u be ((-8 + 6)/1)/((-4)/106). Suppose 0 = -4*b - p + u, 5*b - 3*b - 4*p - 4 = 0. What is the greatest common factor of 84 and b? 12 Let d(y) = y**3 + 17*y**2 - 15*y + 67. Let f be d(-9). Suppose -47*r + 42*r - 2*v + f = 0, -3*r = 5*v - 491. Calculate the highest common factor of r and 129. 43 Suppose -45 = l - 2*k, 3 = 3*l - 2*k + 130. Let f = l - -31. Let h be (-11913)/(-55) + 6/f. What is the highest common factor of h and 27? 27 Suppose 3*l + 690 = 5*l. Let o = 21188 - 21173. What is the highest common divisor of o and l? 15 Let o(v) = -7*v**3 + v**2 - 6*v + 7. Let f be o(-4). Suppose 8*h = -3*h + f. Calculate the greatest common factor of h and 75. 15 Let l be (-48 + 30)/((-24)/28740*(-10)/(-2)). What is the highest common factor of 27 and l? 9 Let a be -4132*(-11)/(-132) + 2/6. Let m = -293 - a. What is the highest common divisor of m and 2? 1 Let x be 3 + -2 + (-12)/(-4). Let s = 20 - x. Let z = -82 - -98. Calculate the greatest common divisor of z and s. 16 Suppose 384 = -6*a + 36. Let i = a + 58. Suppose -2*o = 4*c + 2*o - 112, -5*o = i. What is the highest common divisor of 28 and c? 28 Suppose 2*g + 627 = 5*g. Suppose 128*v - 3577 = -6*v - 1031. Calculate the greatest common divisor of v and g. 19 Let x(u) = 14*u**2 - 169*u + 1556. Let y be x(8). Calculate the highest common factor of 1045 and y. 55 Suppose -42*b - 1015 = -47*b. Let j = b + -200. Calculate the greatest common divisor of j and 21. 3 Let m = -988 - -1848. What is the greatest common divisor of m and 1376? 172 Let d(b) = -204*b - 102. Let n be d(3). Let t = n + 734. Calculate the highest common divisor of 740 and t. 20 Let z = -348 - -482. Suppose 96 = -128*m + z*m. Let h(j) = 21*j - 13. Let a be h(9). What is the highest common divisor of a and m? 16 Let w(g) = 167 - 87 + 329*g + 177 - 33 - 331*g. Let p be w(28). Calculate the greatest common factor of p and 126. 42 Let m = 19441 - 19433. What is the highest common divisor of m and 3072? 8 Let n(f) = 3 - 8*f**2 + 8*f**2 - 40*f**2 + 3*f**3 - 19*f + 33*f. Let y be n(13). Suppose -5288 - 1624 = -y*p. What is the greatest common factor of 48 and p? 48 Suppose 48*q = 44*q + 4, -3*q =
{ "pile_set_name": "DM Mathematics" }
d by 87025. -11/17405 -10668 divided by -1169 1524/167 Divide -3 by -2030723. 3/2030723 Calculate 1864 divided by -6733. -1864/6733 Divide -28867150 by 444110. -65 Calculate 44709284 divided by 11177321. 4 What is 314220888 divided by 636? 494058 Divide 120 by 3719749. 120/3719749 -3 divided by -13906028 3/13906028 85790 divided by -7808 -42895/3904 What is 44496 divided by 3934? 22248/1967 Calculate 20 divided by 15291404. 5/3822851 -12451140 divided by -12451140 1 -279 divided by -945515 279/945515 1013 divided by -19897 -1013/19897 Calculate -72605855 divided by -9695. 7489 78 divided by -663529 -78/663529 12 divided by -25683 -4/8561 Calculate -3000622 divided by 95. -3000622/95 -95723467 divided by 1 -95723467 What is 546677940 divided by -2? -273338970 Calculate -332059194 divided by 6414. -51771 3145963 divided by -529 -5947 Divide -20348310 by 789. -25790 -462075 divided by 420 -30805/28 Calculate 147591711 divided by 147591711. 1 -8 divided by -544520 1/68065 Divide -12632039 by 7. -1804577 35906896 divided by 4 8976724 Divide 326062996 by -2. -163031498 Divide 53 by 514165. 53/514165 Calculate 11211438 divided by -2422. -4629 Divide -22 by -62169. 22/62169 Divide -393 by -37594. 393/37594 Calculate -1334 divided by 10398. -667/5199 What is -357999 divided by -7617? 47 Divide 1555248 by 48. 32401 732412912 divided by 3504368 209 303 divided by -151526 -303/151526 -562373812 divided by 21629762 -26 Divide -3 by 1454738. -3/1454738 -35475219 divided by -1 35475219 484 divided by 19036 121/4759 Calculate 4 divided by 1444924. 1/361231 3051864 divided by -14 -1525932/7 2457067 divided by 23 106829 What is 1 divided by 135359331? 1/135359331 Calculate -2 divided by -3907278. 1/1953639 Calculate 223449130 divided by -22344913. -10 Divide -555450 by -4. 277725/2 -18970776 divided by -95812 198 What is -234720850 divided by 228550? -1027 What is -3998 divided by -210696? 1999/105348 What is 88370436 divided by -9726? -9086 Calculate 39354780 divided by 4. 9838695 Divide 75546318 by 6. 12591053 Calculate -53448900 divided by -60. 890815 Divide -2119 by -4253. 2119/4253 Calculate 969 divided by -3413. -969/3413 Divide -233568 by 784. -14598/49 What is -3 divided by 8382534? -1/2794178 Calculate -2 divided by 42016258. -1/21008129 Calculate 304 divided by 45199. 304/45199 What is -511405300 divided by -70? 7305790 Calculate 0 divided by 83309134. 0 -8579973780 divided by 6 -1429995630 Divide -3 by 23771002. -3/23771002 Divide -247 by 66616. -247/66616 What is 97 divided by -1016974? -97/1016974 2408828 divided by 524 4597 -2065023 divided by 60 -688341/20 Divide -6953620 by 58. -119890 Calculate -95851908 divided by 23962977. -4 Divide 5 by -1137837. -5/1137837 Calculate -232 divided by 6008. -29/751 2932020 divided by 1790 1638 What is 264144 divided by -48? -5503 Calculate -16905732 divided by -254. 66558 Divide 194629496 by -1057769. -184 What is 6906528 divided by 36? 191848 5 divided by 20464116 5/20464116 What is 1303536 divided by 434512? 3 Divide 1774403 by 13. 1774403/13 Divide 108064320 by -624. -173180 49935 divided by 1201 49935/1201 Calculate -1 divided by 2546600. -1/2546600 403291 divided by 389 403291/389 271781635 divided by 82835 3281 Divide -35 by 185041. -35/185041 Calculate 266785512 divided by -4404. -60578 270486 divided by 63 30054/7 -19501984 divided by -4875496 4 Calculate -4732028 divided by 13796. -343 What is -53750 divided by 92? -26875/46 What is 29413792 divided by -31? -948832 Divide -2096562 by -698854. 3 What is -8 divided by 620211? -8/620211 -81 divided by -551746 81/551746 What is -413665318 divided by -1? 413665318 -62240112 divided by 157172 -396 153 divided by 577312 153/577312 Calculate -1502048 divided by 117. -1502048/117 41272371 divided by -63 -655117 Divide -11630548 by -23. 505676 Calculate 17105036 divided by -113. -151372 Calculate 5154094 divided by -151591. -34 Calculate -255426 divided by 104. -127713/52 Calculate 2151878 divided by 109. 19742 Calculate -43 divided by -623122. 43/623122 Calculate -399964 divided by -399964. 1 435546405 divided by -6 -145182135/2 Divide -3395 by 118702. -3395/118702 Divide -948242022 by 12558. -75509 Divide -16970 by 5112. -8485/2556 Divide 2927 by 169693. 2927/169693 Calculate -175 divided by 400407. -25/57201 Divide -2 by 5585976. -1/2792988 What is 245213136 divided by 3714? 66024 Calculate 6187161 divided by -5. -6187161/5 What is 19409867 divided by -37? -524591 Calculate -95739354 divided by 1772951. -54 Calculate 172 divided by 17300. 43/4325 What is -27995220 divided by -622116? 45 Calculate -3688626 divided by 42891. -86 Calculate 96971 divided by 11. 96971/11 What is -52633836 divided by 26316918? -2 What is -4 divided by 8770158? -2/4385079 -5912940 divided by -5780 1023 124389592 divided by -2 -62194796 What is 7128286 divided by -5027? -1418 Calculate -606503946 divided by 2. -303251973 -3694866 divided by 2 -1847433 Divide -15038926 by -367. 40978 -154 divided by 55331 -154/55331 Divide 1 by -1570218. -1/1570218 Divide -10 by 35418144. -5/17709072 What is 14063565 divided by 1? 14063565 Calculate 92814730 divided by -6715. -13822 Divide -14231473 by -19. 14231473/19 What is -11612829 divided by 3? -3870943 22785 divided by 1657 22785/1657 What is 73093000 divided by 8? 9136625 5 divided by -1641039 -5/1641039 Divide -8761500 by -2190375. 4 Divide 952 by 90248. 119/11281 What is -44914692 divided by 7485782? -6 Calculate 13043 divided by -708. -13043/708 Calculate 242829 divided by -3. -80943 What is -541449040 divided by 62704? -8635 What is 407619 divided by 13149? 31 Divide -2 by 5214870. -1/2607435 129149708 divided by -1 -129149708 What is -787371904 divided by -12302686? 64 -123836960 divided by -1508 82120 Calculate -39 divided by -42742. 39/42742 Calculate -23921019 divided by 2657891. -9 Calculate 330 divided by 9816. 55/1636 Calculate -509181 divided by 108. -169727/36 Calculate 13508 divided by 45139. 13508/45139 -23229459 divided by -747 31097 16649550 divided by 90 184995 -16973120 divided by 14632 -1160 Divide -142781770 by -8930. 15989 Divide 24132135 by -15. -1608809 Calculate -19924366 divided by 5. -19924366/5 Divide -260903577 by -583. 447519 Calculate -1444968338 divided by 1. -1444968338 Calculate -18086490 divided by -30. 602883 What is -1502592 divided by 192? -7826 Divide 58382 by -240. -29191/120 9951040 divided by 226160 44 -66751566 divided by -22250522 3 Divide 14112916 by -4. -3528229 Calculate 319328075 divided by -1. -319328075 What is 41 divided by -782590? -41/782590 Divide 465872550 by -15873. -29350 -52947285 divided by -4 52947285/4 213766212 divided by -21351 -10012 Divide 495891 by 15027. 33 Calculate -49229953 divided by -3. 49229953/3 What is -10 divided by -8166621? 10/8166621 What is -627412 divided by -156853? 4 -126470617 divided by -9728509 13 Calculate -86146 divided by -72. 43073/36 11027214 divided by -121 -91134 Divide 955 by 62399. 955/62399 Calculate -101024910 divided by -33674970. 3 59512697 divided by 838207 71 Calculate 5 divided by 69355945. 1/13871189 285061152 divided by -2724 -104648 Divide 12722 by -1. -12722 What is -2 divided by -130951353? 2/130951353 Divide -113099560 by -28. 4039270 Divide -16055290 by 1605529. -10 -6171 divided by 3828 -187/116 Calculate -91073080 divided by 14. -6505220 What is 114529992 divided by -4? -28632498 -8 divided by 6811443 -8/6811443 Calculate 113945766 divided by 10358706. 11 What is 730 divided by -25401? -730/25401 What is 119 divided by -47064? -119/47064 What is -7810659 divided by -2? 7810659/2 Divide -9485 by -365. 1897/73 Calculate -16700064 divided by 2783344. -6 Divide -1032966 by -297. 3478 625728 divided by -78216 -8 Calculate -19146483 divided by -60399. 317 What is 242651412 divided by -8601? -28212 988534 divided by -24 -494267/12 Calculate -419108424 divided by -104777106. 4 Calculate 1344150 divided by 44805. 30 Calculate -2549 divided by -2801. 2549/2801 Divide -10128120 by 10. -1012812 Divide -38979732 by 14523. -2684 What is -3559228 divided by 4? -889807 Calculate 5 divided by -47092110. -1/9418422 144601888 divided by 4986272 29 Calculate -8917 divided by 743. -8917/743 What is -494093900 divided by 98818780? -5 Calculate 36 div
{ "pile_set_name": "DM Mathematics" }
y**2 - y - 8. Let x(r) = 9*t(r) - 4*v(r). What is the units digit of x(-6)? 8 Suppose -5*f = -v - 478, 3*v = -5*f + 2*f + 294. Suppose 3*r - 51 = -4*m, -4*m = -0*r - 4*r + f. What is the units digit of r? 1 Let a(r) = 6*r**2 - 15*r - 3. Let n(h) = -5*h**2 + 14*h + 3. Suppose -3*d - 1 - 17 = 0. Let g(j) = d*a(j) - 7*n(j). What is the units digit of g(-6)? 9 Let y = 7 + 179. What is the hundreds digit of y? 1 Let z be (62/4)/(3/(-6)). What is the tens digit of (-30)/(-20) + z/(-2)? 1 What is the tens digit of 7856/30 - 16/(-120)? 6 Let k = 1 + -3. Let g(y) = y**2 + 2 - 4 + 3 + y. What is the units digit of g(k)? 3 Let v be (-1)/3*(-91 - 2). Suppose 2*g + 3*d + 11 = 0, 4*d + v = -3*g - 2*g. What is the units digit of (-4)/(-14) + (-19)/g? 3 Let m(z) = z**3 - z**2 - 4. Let f be m(3). Let k = -7 + f. Let y = k - -2. What is the units digit of y? 9 Suppose -3*g - 3*l = 2*g - 532, -400 = -4*g + 4*l. What is the hundreds digit of g? 1 Let m(s) = 5*s**2 - s**2 - 2*s**2 - 3*s**2 + 1 - 11*s. What is the units digit of m(-9)? 9 Let m(v) = 129*v - 7. What is the hundreds digit of m(1)? 1 Let r(g) = 21*g**3 + 2*g**2 + g - 2. Let v be r(2). Suppose -v = 4*b - 8*b. What is the tens digit of b? 4 Let c = 2 - 0. Suppose 0*d - 2*d + c = 0. What is the units digit of d? 1 Suppose -3*u = -a + 5, -a + 4*a - 11 = 5*u. Let n = 1 - -5. Let q = n + a. What is the units digit of q? 8 Let d(n) = n. Suppose x + 6*k - 2*k = 22, 4*x - 5*k - 25 = 0. What is the units digit of d(x)? 0 Let x = -4 - -4. Suppose 18 = 3*z - x*a - 3*a, 5*a = -2*z + 5. Suppose -3*m - 4*k = -z, 0 = 5*k + 6 - 1. What is the units digit of m? 3 Let a = -2 + 20. Let r = -12 + a. What is the units digit of r? 6 Suppose -q - 40 = -5*n - 2*q, n - 12 = -q. What is the units digit of n? 7 Suppose 4 + 0 = g - 2*p, -g = 4*p + 2. What is the units digit of g? 2 Suppose 2*p - 20 = -3*p. Suppose 4*b + 3*y - 40 = 0, p*b - y - 55 = 1. What is the tens digit of b? 1 Let u(a) be the second derivative of a**5/20 - 5*a**4/12 - 7*a**3/6 + 2*a**2 - a. Let s be u(6). What is the units digit of 7 - (0 + s + 2)? 7 Let p be 4/(-6)*(5 - -1). Let s be (-8)/(-12) - p/3. What is the units digit of 39/s*(-4)/(-6)? 3 Suppose -5*w + 449 = 114. What is the units digit of w? 7 Suppose 18*t = 19*t - 83. What is the tens digit of t? 8 Suppose 0 = q + 3*n - 7, 0 = -q + 3*n + 4 - 3. What is the units digit of q? 4 Let l(d) = -d**2 - 5*d - 2. Let u be l(-3). Suppose -65 = -u*a - 17. What is the tens digit of a? 1 Let y(n) = -n - 7. Let m be y(-10). Suppose 8*q - 40 = m*q. What is the units digit of q? 8 Let s be 98/(-4) - (-9)/6. Let o = s + 39. Let j = o - 5. What is the tens digit of j? 1 Suppose h - 2*f - 382 = -4*h, -h = -f - 77. What is the units digit of h? 6 Suppose -3*p = 4*o + p - 16, -4*o + 3*p = -16. Let l(z) = -4*z**3 + 4 + 4*z**2 + o*z**3 + z**3. What is the units digit of l(-4)? 4 Suppose 61 + 50 = 3*z. What is the units digit of z? 7 Suppose 5*z + 2*d = -3*d + 1405, 2*d = 3*z - 868. What is the tens digit of z? 8 Let k(v) = -v + 8. Let f be k(5). What is the units digit of ((-15)/4)/(f/(-12))? 5 Suppose -14*y = -20*y + 60. What is the units digit of y? 0 Suppose 0 = 8*m - 3376 + 752. What is the tens digit of m? 2 Let g(f) be the third derivative of -f**6/120 - f**5/15 + f**4/12 - 5*f**3/6 + 5*f**2. Let h be 22/(-4) - (-2)/4. What is the units digit of g(h)? 0 What is the tens digit of 3*6/(-2 + 3)? 1 Let i = -4 - -40. What is the units digit of i? 6 Let s(t) = t**3 - 2*t**2 - 5*t + 2. Let v be s(4). Let x = v - 3. Suppose 0 = -3*k - x - 1, -15 = a + 5*k. What is the units digit of a? 5 Let q be 0*(21/(-6))/(-7). Suppose -4*w + 32 + 16 = q. What is the units digit of w? 2 Let g = -9 - -7. What is the tens digit of g/(-4)*6 + 15? 1 Let z = 23 - 5. Let q = -4 + z. What is the tens digit of q? 1 Suppose 0 = -3*j - 3 - 15. Let m = -4 - j. Suppose -24 = -2*b - m*b. What is the units digit of b? 6 Let j(d) = d**3 + 10*d**2 + d + 12. Let k be j(-10). Suppose -3*i - k*i + 30 = 0. What is the units digit of i? 6 Suppose -24 = -2*g + 5*o - o, 3*g = 3*o + 39. Suppose -g = -m - m. What is the units digit of m? 7 Let d = -69 + 103. Let y = d + -20. What is the units digit of y? 4 Let m = 6 - 2. What is the units digit of m? 4 Let w = 76 + -41. What is the tens digit of w? 3 Let z = 8 - 8. Suppose 0 = 5*j - 20, z = h + h - 5*j - 16. What is the units digit of h? 8 Let u(y) = y**2 - 3*y + 6. Suppose 4*m = 2*m. Let f = m + 4. What is the tens digit of u(f)? 1 Let t(j) be the first derivative of -j**3/3 + 4*j**2 - 3*j - 2. Suppose 0*h = -5*h + 30. What is the units digit of t(h)? 9 What is the tens digit of (-781)/(-9) - 42/(-189)? 8 Let l = 4 - 4. Suppose -4*h + 10 - 6 = l. What is the units digit of h? 1 Let v = 168 + -113. What is the units digit of v? 5 Let m(l) = -l**3 - 5*l**2 + 4*l - 2. Let q(k) = -k**2 + 3. Let x be q(-3). What is the units digit of m(x)? 0 Suppose 0 = -z + 1. Suppose k = -5, 4*k - 19 + z = -2*p. What is the units digit of p? 9 Let v = -6 + 8. What is the units digit of v? 2 Suppose 0 = -2*u + 3*b + 2 - 17, 3 = 3*b. Let x be (u/3)/(1/4). What is the units digit of 1 - 0 - 0 - x? 9 Let s(u) = -3*u + 2. Let z(n) = n - 1. Let r(o) = -s(o) - 2*z(o). What is the units digit of r(2)? 2 Let i = 0 - -3. Suppose -i*h - 3 = -9. Suppose 5*b + 3*w - 55 = -h*w, 5*w - 15 = 0. What is the units digit of b? 8 Suppose -5*a - a + 102 = 0. What is the units digit of a? 7 Let l(a) = -a**2 + 8*a - 5. Let o be 10/(-25) - (-76)/(-10). Let i = -1 - o. What is the units digit of l(i)? 2 Suppose -68 = 3*x + 37. What is the units digit of (4/14)/((-5)/x)? 2 Suppose 22 - 58 = -3*m. Let r(n) = n**2 - 9*n + 5. What is the tens digit of r(m)? 4 Let h(g) = g**2 + 8*g - 3. Let s be h(-8). Let d = -2 - s. What is the units digit of d? 1 Let a be 7 + -1 - (2 + -2). Let v = a + -5. Let u = 3 + v. What is the units digit of u? 4 Suppose m = -3*f + 6 + 6, 0 = -4*m - 2*f + 18. Suppose 2*b = -m*b + 75. What is the units digit of b? 5 Let f(r) = 36*r**2 + 4*r - 3. What is the units digit of f(3)? 3 Suppose w - 4*i + 13 = 0, -i = 3*w - 6 + 58. Suppose 4*v - 109 = -5*m + 8*v, 83 = 3*m + 2*v. Let s = m + w. What is the units digit of s? 8 Let q(v) = v + 10. Let p be q(-5). What is the units digit of p + (3 - 0 - 1)? 7 Suppose h = 4*h + 18. Let k = 8 + h. What is the units digit of k? 2 Suppose -6 = 5*d + 19. Let y be 8/(-4) - (d + 0). What is the units digit of 9/(-3) - (-8 - y)? 8 Let p = -28 - -30. What is the units digit of p? 2 Suppose 0 = -3*h + 29 - 2. Suppose 0*t = -3*t + h. Suppose 0 = -5*u + 2*f + 7, 0 = t*f - 12. What is the units digit of u? 3 Let x = 60 - 8. Suppose -5*j - 3*a + 92 = 0, 2*j + 4*a - x = -a. What is the tens digit of -3 + 1 + (j - -1)? 1 Let q(r) = 4*r + 6. Let u be q(6). Suppose -5*k + u = -3*k. What is the tens digit of k? 1 Let w = 77 - 26. What is the tens digit of w? 5 Let c(o) = -15*o**2 - 2*o + 1. Let w be c(2). What is the units digit of w/6*(-6)/9? 7 Let r(w) = -6*w. Let c be r(1). Let k = -13 - c. Let i = k - -15. What is the units digit of i? 8 Suppose 274 = 4*m + 2*i, 4*m + 9*i - 4*i = 283. What is the tens digit of m? 6 Let a = 2 + -5. Let z = 42 + a. What is the units digit of z? 9 Let h be (2 - 3)/(2/(-4)). Suppose -5*d - 6*x + 36 = -h*x, -3*d + 4*x - 4 = 0. What is the units digit of d? 4 Let i be 2/(12/(-9))*12. Let n = -6 - i. What is the units digit of n? 2 Suppose 4*y = 2*b + 2*y - 24, -3*y + 14 = 2*b. Suppose 0 = -3*t + 4*t + 2. Let s = t + b. What is the units digit of s? 8 Let m(u) = 3*u**2 - u - 3. What is the units digit of m(4)? 1 What is the tens digit of (-12)/(-8)*(-2934)/(-27)? 6 Suppose -4*y - 12 = 0, 3*y = -4*r + 22 + 25. What is the units digit of r? 4 Let b(f) = -f**3 - 3*f**2 - 5*f + 3. What is the tens digit of b(-4)? 3 Suppose 3*l - 6 = 0, -7*c + 208 = -6*c + l. What is the hundreds digit of c? 2 Let c = 18 - 48. What is the units digit of (4/(-3))/(2/c)? 0 Let f be (-16)/3*(-12)/8. Suppose 2*a + 0*a = -4*u + f, 5*u = 5. Suppose a*r = 4*r - 28. What is the tens digit of r? 1 Let q(t) = -2*t**3 + 4*t**2 + 4. What is the tens digit of q(-3)? 9 Suppose 4*w + d - 5*d = 24, -4*w = 2*d + 6. Let v = 0 + w. Suppose -2*o = 3*n + 3 + v, -o + 3 = 4*n. What is the units digit of n? 2 Let p(r) be the fi
{ "pile_set_name": "DM Mathematics" }
. Let y = k + -153/2. Find z, given that 1/2 + 9/4*z - 21/4*z**3 - y*z**4 + z**2 = 0. -1, -1/2, -1/3, 2/3 Let -2*k + 80/3 - 2/3*k**2 = 0. What is k? -8, 5 Let w(b) be the third derivative of 0 + 0*b + 1/10*b**3 + 1/100*b**5 + 1/20*b**4 - 10*b**2. Factor w(h). 3*(h + 1)**2/5 Let u be (6 - 7)*1*-3. Suppose 0 = u*s - 5*s + 12. Factor -2*p**3 + 1 - 1 - 9*p**2 + 5*p**3 + s*p. 3*p*(p - 2)*(p - 1) Suppose 0 = -27*k + 22*k + 55. Factor 3*c**5 + 13*c + 11*c + k*c - 6*c**3 - 32*c. 3*c*(c - 1)**2*(c + 1)**2 Let v(h) be the first derivative of 0*h**2 - 1/3*h**3 + 0*h - 42 - 1/3*h**6 + 1/2*h**4 + 1/5*h**5. Find j such that v(j) = 0. -1, 0, 1/2, 1 Let g = 27 + -25. Let k be (52/27 - g)/(1/(-120)). Find l such that -4/9 - 20/3*l**4 + 100/9*l**3 + 14/9*l**5 + 10/3*l - k*l**2 = 0. 2/7, 1 Let n(q) = -3*q + 10. Let z be n(-7). Let p = -12 + z. Factor -p - 3*o**2 + 12 + 3*o + 13. -3*(o - 2)*(o + 1) Let r(v) = v**2 + 3*v + 4. Let p be r(-3). Suppose 2*m = -2*m + 24. Factor x + x**3 + 2 - 2*x**2 + p*x**3 - m*x**3. -(x - 1)*(x + 1)*(x + 2) Let a = -3368 - -3371. Suppose -12/7*h**4 + 51/7*h**a - 48/7*h**2 + 9/7*h + 0 = 0. Calculate h. 0, 1/4, 1, 3 Let x = -36 + 35. Let n = x + 3. Determine q, given that -3*q**2 + q**3 - 4*q**3 - 3 + n + 3*q + 4 = 0. -1, 1 Let t(v) be the third derivative of 27*v**8/560 - 9*v**7/35 + 9*v**6/20 - 2*v**5/5 + 5*v**4/24 - v**3/15 + 101*v**2. Solve t(h) = 0. 1/3, 2 Suppose -5*x = -8*x - 84. Let o = 88/3 + x. Suppose 0 + o*n**2 + 0*n - 10/3*n**3 = 0. Calculate n. 0, 2/5 Suppose v + 11 = a, -v + 11 = a - 2. Suppose -4*p = -4*y + 3*y - a, 4*y = 3*p - 9. Factor -2/11*r**p + 2/11*r**2 + 2/11*r - 2/11. -2*(r - 1)**2*(r + 1)/11 Let i(q) be the first derivative of q**6/15 - 2*q**4/5 - 4*q**3/15 + 3*q**2/5 + 4*q/5 + 59. Let i(k) = 0. Calculate k. -1, 1, 2 Let i(q) be the third derivative of 0*q**4 + 7/180*q**6 - 1/630*q**7 + 0*q**3 - 3*q - 2*q**2 - 49/180*q**5 + 0. Find y, given that i(y) = 0. 0, 7 Let h(p) be the second derivative of -p**6/45 + p**5/20 + p**4/12 - 13*p**3/6 + 5*p. Let l(r) be the second derivative of h(r). Factor l(s). -2*(s - 1)*(4*s + 1) Let r(v) = -v**3 + 3*v**2 + 6*v - 14. Let y be r(2). What is n in 2*n - 68/3*n**3 - 6*n**5 - 8*n**y - 20*n**4 + 4/3 = 0? -1, -2/3, 1/3 Suppose 3*x = 4*q + 4, -1 = 5*q - 2*x - 3. Factor -4 + 25*r + 7*r**3 + 5 - 20*r**q - 2*r**3 - 11. 5*(r - 2)*(r - 1)**2 Let a be 1/9 + 220/45. Let k(u) be the third derivative of -1/60*u**6 + 0*u**4 + 0*u + 0 + 0*u**3 - 1/30*u**5 + a*u**2. Let k(j) = 0. Calculate j. -1, 0 Let u(b) be the second derivative of b**6/90 - b**5/15 - 5*b**4/36 + b - 7. Let u(c) = 0. What is c? -1, 0, 5 Suppose -697 - 986 = -51*u - 153. Factor 0 + 35/2*c**3 - 10*c - u*c**2. 5*c*(c - 2)*(7*c + 2)/2 Let m be -10 - -12 - (1 - 5). Suppose 0 = -7*x + m*x + 2. What is b in 1 + 4*b**x + 5 - 4 + 5*b + b**3 = 0? -2, -1 Find g such that 32/5*g**2 - 26/5*g - 2/5*g**3 - 12 = 0. -1, 2, 15 Let y(l) = -6*l - 1. Let w be y(1). Let s(r) = -r - 4. Let n be s(w). Suppose -2*q - 5*q**3 - 9*q**3 + 10*q**n + 6*q**2 = 0. Calculate q. 0, 1/2, 1 Let m be 8 + (2 - (1881/10)/19). Let 3/10*i - 1/5 + 0*i**4 + 1/5*i**2 + m*i**5 - 2/5*i**3 = 0. What is i? -2, -1, 1 Factor -24/7*y**2 - 2/7*y**5 + 8/7*y**4 + 4/7*y**3 + 0 - 18/7*y. -2*y*(y - 3)**2*(y + 1)**2/7 Let u be (12/(-70))/(100/(-1050)). Determine p, given that -2/5*p + 0 + u*p**2 = 0. 0, 2/9 Determine x, given that 2/7*x**4 + 18/7*x**3 - 18/7*x - 4 + 26/7*x**2 = 0. -7, -2, -1, 1 Let l(b) be the first derivative of -b**5/12 - 5*b**4/6 - 35*b**2/2 + 4. Let q(i) be the second derivative of l(i). Find m, given that q(m) = 0. -4, 0 Suppose -75*f + 756 = -12*f. Let a(c) be the third derivative of -f*c**2 + 0 - 1/60*c**6 - 1/105*c**7 + 0*c + 1/30*c**5 + 0*c**3 + 1/12*c**4. Factor a(y). -2*y*(y - 1)*(y + 1)**2 Suppose -2/5*d**2 + 432/5*d - 23328/5 = 0. What is d? 108 Suppose -4*z = -7 - 1. Factor 3*s**z + 0*s**3 - s**3 - 14*s**5 + s**2 - 24*s**4 - 5*s**3. -2*s**2*(s + 1)**2*(7*s - 2) Let n(i) be the first derivative of -1/3*i**3 + 0*i + 7/8*i**4 - 8 - 1/4*i**2 - 2/5*i**5. Factor n(g). -g*(g - 1)**2*(4*g + 1)/2 Let z(l) be the second derivative of l**7/8820 - l**6/630 + l**5/140 - 13*l**4/12 - 5*l. Let a(w) be the third derivative of z(w). Find r such that a(r) = 0. 1, 3 Suppose -2*l - 5*x = -111, -66 = -l + 5*x + 12. Let q = l + -63. Suppose q - 1/5*m**4 + 1/5*m**2 - 2/5*m**3 + 2/5*m = 0. What is m? -2, -1, 0, 1 Let t = -83 + 251/3. Let d = -298/15 - -308/15. Let w + 1/3 - 1/3*w**5 - w**4 + t*w**2 - d*w**3 = 0. Calculate w. -1, 1 Let z(g) = -88 + 17*g**2 - 8*g**2 - 4*g + 3*g**2. Let m(y) = -4*y**2 + y + 29. Let c(f) = 16*m(f) + 5*z(f). Find p such that c(p) = 0. -3, 2 Suppose -14*s + 11*s = -12. Factor 0*w**4 + 2*w**4 + s*w**4 - 73*w**5 + 88*w**5. 3*w**4*(5*w + 2) Let z = 423/1981 + -20/283. Factor -z*x**3 - 1/7 + 1/7*x**2 + 1/7*x. -(x - 1)**2*(x + 1)/7 Suppose 3*x - 5*t = 9, 2*t = -2*x - 2*t + 6. Suppose 4*h - x*h = 0. Factor 0*q**2 + 0 + h*q**4 - 1/2*q**5 + q**3 - 1/2*q. -q*(q - 1)**2*(q + 1)**2/2 Let n(l) = 2*l**3 + 184*l**2 + 4224*l + 7744. Let u(s) = 4*s**3 + 369*s**2 + 8448*s + 15488. Let b(c) = -18*n(c) + 8*u(c). Factor b(t). -4*(t + 2)*(t + 44)**2 Factor 0 - 2/11*r**5 + 0*r**4 + 0*r - 4/11*r**2 + 6/11*r**3. -2*r**2*(r - 1)**2*(r + 2)/11 Let y(t) be the second derivative of t**8/3360 + t**7/630 - t**6/90 - 2*t**5/15 - t**4/6 + 4*t. Let m(u) be the third derivative of y(u). Factor m(d). 2*(d - 2)*(d + 2)**2 Let w(b) be the third derivative of -1/90*b**5 + 1/12*b**4 + 0 - 3*b**2 + 0*b + 0*b**3. Factor w(c). -2*c*(c - 3)/3 Suppose 6*u = -3*u + 14*u. Factor u*i - i**2 + 0 - 1/2*i**3 + 1/2*i**4. i**2*(i - 2)*(i + 1)/2 Suppose 372*w - 421*w**2 + 24 + 48 + 156*w**4 + 495*w**3 + 1075*w**2 + 15*w**5 = 0. What is w? -6, -2, -1, -2/5 Let c = -63440/21 - -3022. Suppose c*g - 8/21*g**2 + 2/7 = 0. What is g? -1/4, 3 Let s(z) be the first derivative of -2*z**5/5 + 3*z**4 - 8*z**3 + 8*z**2 - 217. Determine w so that s(w) = 0. 0, 2 Factor -9*z**4 + 21*z**3 + z**5 - 6*z + 23*z**4 + 6*z - 36*z**2. z**2*(z - 1)*(z + 3)*(z + 12) Let h = 382 + -148. Let n = -228 + h. Factor 0*z + 3/2*z**3 + 0*z**2 + 0 + n*z**4. 3*z**3*(4*z + 1)/2 Let f(b) be the third derivative of -b**7/70 - b**6/4 - 4*b**5/5 + b**2 - 150. Factor f(w). -3*w**2*(w + 2)*(w + 8) Let j = 29 + -26. Find c, given that 51*c + 11 + 2*c**2 + 36*c**2 - j + c - 33*c**3 = 0. -2/3, -2/11, 2 Solve 3438*v**3 + 52029*v + 50880*v - 74*v**4 + 3*v**5 + 5196*v**2 - 97*v**4 + 12066*v - 165375 - 34866*v**2 = 0. 5, 21 Let c = -36611 - -109840/3. Find h such that -8/9*h**4 + 1/9*h**5 + 8/9*h + 0 + c*h**3 - 22/9*h**2 = 0. 0, 1, 2, 4 Let n(m) be the first derivative of -2*m**3/7 + 4*m**2/7 + 2*m + 65. Determine b, given that n(b) = 0. -1, 7/3 Let c(w) = -w**2 + 168*w + 6891. Let k(z) = -6*z**2 + 841*z + 34456. Let d(n) = 11*c(n) - 2*k(n). Factor d(f). (f + 83)**2 Suppose -4*n = y - 3*n - 1, -5*y + n = 7. Let l be (y/1 - -4) + 0. Solve -12*a**4 + l*a**3 - 4*a**2 + 17*a**5 + 9*a**3 - 13*a**5 = 0. 0, 1 Factor 3/5*q + 0 + 18/5*q**2. 3*q*(6*q + 1)/5 Let s be (-14)/(-6) - -6*2/(-6). Let q(c) be the second derivative of 1/2*c**5 + 0 + 5*c + 1/2*c**4 - s*c**3 + 2/15*c**6 - c**2. Factor q(i). 2*(i + 1)**3*(2*i - 1) Let s(d) be the first derivative of -d**6/288 + d**5/80 - d**4/96 + 17*d**3/3 - 31. Let m(v) be the third derivative of s(v). What is o in m(o) = 0? 1/5, 1 Factor 25/7*p**2 + 20/7 - 9/7*p**4 - 1/7*p**5 - 48/7*p + 13/7*p**3. -(p - 1)**3*(p + 2)*(p + 10)/7 Let h(w) be the third derivative of w**6/120 - 19*w**5/20 + 361*w**4/8 - 6859*w**3/6 + 27*w**2. Factor h(g). (g - 19)**3 Factor -44*a + 2*a**2 - 67*a - 76 - 2 + 279*a - 92*a. 2*(a - 1)*(a + 39) Let s(y) be the first derivative of -1/3*y**3 - 81*y + 23 + 9*y**2. Factor s(t). -(t - 9)**2 Let a(p) = 4*p**2 - 188*p - 520. Let j(s) = 2*s**2 - 125*s - 347. Let v(l) = -5*a(l) + 8*j(l). Let v(t) = 0. Calculate t. -11, -4 Let d = 663 - 663. Let y(n) be the first derivative of 3*n**4 - 6 + 2/3*n**6 + 4/3*n**3 + d*n**2 + 12/5*n**5 + 0*n. Suppose y(g) = 0. What is g? -1, 0 Let q = 58 - 3. Factor 2*o**2 - 2*o**2 + 2*o**2 + q*o - 41*o. 2*o*(o + 7) Let 0 + 23/2*b + 1/2*b**3 + 12*b**2 = 0. Calculate b. -23, -1, 0 Let y(d) = -5*d**3 + 23*d**2 - 18*d + 2. Suppose 8*z - 4 = 10*z. Let i(f) = 5*f**3 - 22*f*
{ "pile_set_name": "DM Mathematics" }
common factor of 140 and 112? 28 What is the highest common divisor of 29 and 29? 29 What is the highest common factor of 196 and 70? 14 What is the greatest common factor of 368 and 230? 46 What is the greatest common divisor of 56 and 144? 8 What is the greatest common divisor of 45375 and 33? 33 Calculate the greatest common factor of 75 and 115. 5 What is the highest common factor of 65 and 13? 13 Calculate the greatest common factor of 11 and 3773. 11 What is the greatest common factor of 59 and 7493? 59 What is the greatest common factor of 9 and 558? 9 What is the greatest common factor of 230 and 644? 46 Calculate the highest common divisor of 1380 and 552. 276 What is the highest common factor of 63 and 45? 9 Calculate the highest common factor of 86 and 7740. 86 What is the highest common factor of 32 and 272? 16 Calculate the greatest common divisor of 84840 and 140. 140 What is the highest common divisor of 9379 and 226? 113 Calculate the highest common divisor of 48 and 2202. 6 Calculate the highest common factor of 1710 and 135. 45 Calculate the highest common factor of 5635 and 735. 245 What is the greatest common factor of 126 and 18? 18 Calculate the highest common divisor of 546 and 1155. 21 Calculate the greatest common factor of 500 and 80. 20 What is the greatest common divisor of 19 and 281? 1 What is the greatest common factor of 441 and 98? 49 What is the greatest common divisor of 5362 and 98? 14 Calculate the greatest common divisor of 285 and 57. 57 Calculate the highest common divisor of 36 and 396. 36 What is the greatest common divisor of 52 and 416? 52 Calculate the greatest common factor of 19 and 5643. 19 Calculate the highest common divisor of 91 and 377. 13 Calculate the highest common factor of 66 and 78. 6 What is the highest common divisor of 315 and 4284? 63 Calculate the highest common divisor of 392 and 49. 49 Calculate the greatest common divisor of 12 and 480. 12 Calculate the greatest common factor of 29 and 1. 1 What is the greatest common divisor of 10930 and 10? 10 What is the highest common divisor of 9048 and 104? 104 Calculate the greatest common divisor of 33 and 7579. 11 What is the highest common divisor of 1776 and 384? 48 What is the greatest common factor of 114 and 741? 57 Calculate the greatest common divisor of 43 and 86. 43 Calculate the greatest common divisor of 54233 and 281. 281 Calculate the highest common divisor of 272 and 646. 34 What is the highest common divisor of 867 and 51? 51 What is the highest common divisor of 310 and 5828? 62 What is the greatest common divisor of 420 and 7? 7 What is the highest common divisor of 484 and 33? 11 Calculate the highest common divisor of 1323 and 27. 27 Calculate the greatest common divisor of 46 and 46. 46 What is the highest common factor of 800 and 32? 32 What is the greatest common factor of 1766 and 2? 2 Calculate the greatest common divisor of 15 and 795. 15 What is the highest common divisor of 896 and 2048? 128 Calculate the highest common divisor of 34560 and 270. 270 What is the highest common divisor of 25 and 11075? 25 What is the highest common divisor of 516 and 12? 12 What is the greatest common factor of 16 and 1712? 16 Calculate the highest common divisor of 510 and 10030. 170 Calculate the highest common divisor of 1903 and 11. 11 What is the highest common factor of 7 and 10? 1 What is the highest common factor of 13 and 351? 13 Calculate the greatest common divisor of 2 and 550. 2 What is the greatest common divisor of 23 and 7? 1 What is the highest common factor of 550 and 22? 22 Calculate the greatest common factor of 136 and 128. 8 What is the highest common factor of 126 and 72? 18 Calculate the greatest common factor of 12 and 384. 12 Calculate the highest common factor of 30 and 3390. 30 Calculate the highest common divisor of 117 and 72. 9 What is the highest common divisor of 418 and 1408? 22 Calculate the greatest common factor of 1296 and 81. 81 Calculate the greatest common factor of 18516 and 12. 12 Calculate the greatest common divisor of 38 and 32642. 38 What is the highest common factor of 24 and 1056? 24 What is the highest common divisor of 558 and 10881? 279 Calculate the highest common factor of 10 and 1210. 10 What is the highest common factor of 30849 and 113? 113 What is the highest common factor of 11 and 11? 11 Calculate the greatest common divisor of 1564 and 92. 92 Calculate the greatest common divisor of 228 and 240. 12 What is the greatest common divisor of 1431 and 371? 53 What is the greatest common divisor of 130 and 1222? 26 Calculate the greatest common divisor of 36 and 40176. 36 What is the highest common factor of 8 and 312? 8 What is the highest common divisor of 595 and 17? 17 Calculate the highest common divisor of 104 and 2938. 26 What is the highest common factor of 2452 and 4? 4 Calculate the greatest common factor of 195 and 1005. 15 What is the greatest common divisor of 4614 and 30? 6 What is the highest common factor of 856 and 8? 8 What is the highest common factor of 8 and 104? 8 Calculate the highest common divisor of 95 and 1465. 5 Calculate the highest common factor of 3 and 24. 3 What is the highest common factor of 3650 and 292? 146 What is the highest common factor of 72 and 2664? 72 What is the highest common factor of 8991 and 1701? 243 What is the highest common divisor of 90 and 54? 18 Calculate the highest common divisor of 27 and 3051. 27 What is the highest common divisor of 330 and 2640? 330 Calculate the greatest common factor of 8 and 146. 2 Calculate the greatest common factor of 12 and 116. 4 What is the greatest common factor of 2436 and 84? 84 Calculate the greatest common factor of 10236 and 24. 12 What is the highest common factor of 4 and 596? 4 Calculate the greatest common divisor of 328 and 24. 8 Calculate the highest common divisor of 41 and 205. 41 Calculate the greatest common factor of 10265 and 5. 5 What is the greatest common factor of 39 and 15? 3 Calculate the greatest common divisor of 5 and 7. 1 Calculate the highest common divisor of 325 and 50. 25 What is the greatest common factor of 200 and 250? 50 Calculate the highest common divisor of 1305 and 348. 87 What is the greatest common divisor of 2 and 22? 2 What is the greatest common divisor of 7518 and 14? 14 Calculate the greatest common divisor of 876 and 60. 12 Calculate the greatest common divisor of 17 and 136. 17 Calculate the highest common divisor of 2592 and 81. 81 What is the highest common factor of 17259 and 33? 33 Calculate the greatest common divisor of 8 and 36. 4 What is the greatest common factor of 9 and 279? 9 What is the highest common divisor of 114 and 1064? 38 Calculate the highest common factor of 48 and 254. 2 What is the greatest common divisor of 452 and 12? 4 What is the greatest common divisor of 15928 and 88? 88 Calculate the highest common divisor of 50 and 11450. 50 What is the greatest common divisor of 7 and 5761? 7 Calculate the highest common factor of 8 and 328. 8 What is the greatest common divisor of 330 and 891? 33 What is the greatest common divisor of 85 and 1865? 5 What is the highest common factor of 25 and 45? 5 What is the highest common factor of 24 and 9736? 8 What is the greatest common factor of 34 and 4811? 17 Calculate the highest common factor of 39 and 822. 3 What is the greatest common divisor of 3231 and 9? 9 Calculate the greatest common factor of 22 and 418. 22 Calculate the greatest common factor of 20025 and 225. 225 Calculate the highest common divisor of 7 and 1701. 7 What is the greatest common factor of 368 and 16? 16 Calculate the greatest common divisor of 6252 and 12. 12 Calculate the greatest common divisor of 70690 and 10. 10 What is the greatest common divisor of 382 and 6? 2 Calculate the highest common factor of 38 and 361. 19 What is the greatest common factor of 6848 and 64? 64 What is the highest common divisor of 943 and 82? 41 What is the greatest common divisor of 36 and 2412? 36 What is the greatest common factor of 330 and 210? 30 Calculate the greatest common divisor of 20 and 72. 4 What is the greatest common divisor of 615 and 246? 123 Calculate the greatest common divisor of 1 and 947. 1 Calcu
{ "pile_set_name": "DM Mathematics" }
(-3)/(-210))? -63 What is (2*(-4)/12)/(5/((-45)/(-14)))? -3/7 ((-26932)/(-1407197))/((-12)/(-99)) 3/19 Calculate -2*(-5)/160*12*8/(-64). -3/32 What is the value of 160/(-60)*117/(-188760)*-10? -2/121 What is 40/15*44/((-1144)/(-1053))? 108 What is the value of (-4)/72*(-460)/(-161)*(-56)/8? 10/9 What is (((-12031)/(-318))/(-227)*-402)/(((-1)/1)/1)? -67 What is (-1519)/930*776/(-9506)? 2/15 (-8)/26*(-7)/((-105)/(-6))*(-373)/1492 -2/65 Evaluate (8*(-4)/(-72)*1)/((-34510)/(-1827)). 2/85 What is ((-2365344)/80)/191*10/(-12)? 129 ((-2835)/2268)/((-10)/(-156)) -39/2 Calculate (((-2632)/(-21))/(-47))/3. -8/9 What is the value of (-6)/((-14)/12*-18*10/980)? -28 Evaluate 1821/(-607)*90/(-12)*(-4)/2. -45 What is the value of 9/(40/(43240/423))? 23 What is the value of (((-32778)/21245)/(2/7))/(9/(-15))? 9 Evaluate ((-22)/32)/((-182)/(-728))*(-6)/3*14. 77 What is (-142*(-62)/52824)/(1*7)? 1/42 -52*201/34840*870/(-3) 87 Calculate (((-4)/23)/(-4))/((2/13)/((-680)/4420)). -1/23 -36*20*(-1105)/6800 117 (-32)/(-200)*45/(-306) -2/85 What is ((-52)/6)/13*-13*3*(-13)/13? -26 What is (1/66*-6)/(((-126)/60)/(-21))? -10/11 Evaluate ((10368/(-13200))/(-54))/(80/88). 2/125 What is the value of (1512/70)/(-2)*(10/(-3))/1? 36 Calculate ((-2)/4*11)/((15/15)/(-2)). 11 Calculate ((-390)/845)/(876/(-208))*(-3)/48*4. -2/73 Calculate 504/27*330/2200. 14/5 Calculate 845/1885*(-20)/260. -1/29 What is the value of ((-25)/75)/(((-2)/10)/(258*(-13)/130))? -43 Calculate (55/77)/(293/(-879)*(-10)/(-8)). -12/7 What is (-87)/(35496/680)*(-102)/5? 34 What is the value of 42*2/99*13*(-312)/4732? -8/11 Evaluate 3176/(-10322)*(-2314)/8*1*-1. -89 Calculate ((-56)/10)/(539/(-294)*32/440). 42 What is (140/(-28)*24/(-70))/(((-324)/(-2352))/9)? 112 What is 102/(-4)*79*(-936)/18486? 102 What is the value of (-28)/12*4*4656/5432? -8 Calculate (1/((-90)/40))/(544/(-10404)). 17/2 What is 273/143*(-154)/(-42)? 7 (64/(-220))/(760/(-2850)) 12/11 Evaluate (-14)/315*-27*(-510)/(-9792). 1/16 What is the value of (-68)/51*60*(-7)/(-14)? -40 What is ((-112)/616)/(-2)*33*(-6)/13? -18/13 (9/(-6))/(9*8/(-48))*(-4)/500 -1/125 Evaluate (8/(-12))/1*((-2)/35)/(1035/170775). 44/7 Evaluate 24/96*9*3/90*(-25)/(-30). 1/16 17/2*-1*44*240/(-880) 102 Evaluate (-168)/(24/(-20)*(-209)/(-1254)*(-30)/(-4)). 112 Evaluate ((-1)/3)/((-84)/(27720/(-605))). -2/11 Calculate 3/((-53)/((-4134)/(-117))). -2 Evaluate 63/39*63/(-5292)*28. -7/13 Calculate ((550800/4335)/144)/((-3)/2). -10/17 496/(-465)*(-55)/(-88) -2/3 What is 1458/(-162)*(-1)/(18/(-28))? -14 2*4/(-2)*-6*92*(-696)/42688 -36 Calculate ((-1650)/(-110))/(3/(-6)*10/5). -15 Evaluate ((-308)/(-66))/((-308)/(-11))*390. 65 ((-5)/(50/52))/(5*264/(-550)) 13/6 What is the value of ((-2)/(-21))/((-2226)/(-25970))? 10/9 What is the value of -11*((-22)/33)/(1/((-6)/(-8)))? 11/2 Evaluate ((-693)/(-1155))/((-2)/40). -12 What is 69*((-1)/15)/((-117)/(-195))*12/(-4)? 23 Evaluate 3*2/(-3)*(-5087)/(-330655). -2/65 Evaluate 77/(-98)*-7*-2*68/17. -44 What is ((-1614)/(-269))/(-6*9/(-540))? 60 What is (9/63)/(209/(-14630))? -10 ((-6)/41)/((40/200)/(35/75)*7) -2/41 What is 46065/304029*(-22)/(-20)? 1/6 What is the value of 34/578*34*(-156)/24? -13 What is the value of 1089/(-2904)*1664/24? -26 Evaluate (60/216)/((-1015)/(-1218)). 1/3 Evaluate (1575/21)/75*20/(-26). -10/13 (920/(-32))/((-7525)/1204) 23/5 What is the value of -2*(-26)/(-91)*(-20335)/(-166)? -70 What is ((-120)/28)/(-1)*(-714)/(-51)*12/27? 80/3 What is (2/(-4))/(820/1804)*4? -22/5 (220410/(-4266))/((-10)/(-6)) -31 What is 130/(-39)*(-2250)/8125? 12/13 Evaluate (34/136)/(1/(-4))*92/4186. -2/91 Calculate ((-357)/969*2/(-7))/(104/(-52)). -1/19 Calculate (220/130)/(81/(-46332)*44). -22 What is the value of ((-14)/4*(-1940)/(-873))/(4/36)? -70 Calculate (-26)/5*(48250/100)/193. -13 What is the value of 8875/(-1065)*-12*7/(-140)*11/(-5)? 11 What is (((-3)/((-1530)/(-8)))/((-2084)/(-3126)))/1? -2/85 Calculate (13*-1)/((37/(-148))/(27/36)). 39 What is 31/(10106/(-1793))*(-156)/22? 39 (15/9*(-6)/15)/(((-1312)/6192)/(-41)) -129 (10/(-115)*-23)/(24/81)*60/54 15/2 What is the value of (78*1)/(610/(49715/163))? 39 What is -4*44/((-2992)/(-391))? -23 What is 825*(-110)/(-20570)*-17? -75 Evaluate ((-96222)/6873*(-4)/(-77))/(42/(-11)). 4/21 Evaluate (-16)/(-2)*(784/560)/(6/(-15)). -28 (-48)/81*((-41992)/464)/(-181) -8/27 Evaluate ((-38)/(-95)*-5*1)/((-3)/(-24)). -16 What is the value of 4*36/832*((-9)/(-15))/((-405)/900)? -3/13 What is the value of (-72*(-12)/(-180))/((-9)/(-15))? -8 7/(-4263)*539/154*(-6)/(-9) -1/261 What is the value of (-17)/119*-14*(-11825)/(-550)? 43 Evaluate (54/70)/(((-6840)/399)/20). -9/10 What is 3/(90/(-330)*-3)? 11/3 Calculate (-369400)/5541*3*1/4. -50 Calculate 23/920*-8*-1*155. 31 What is 342/(-19)*1/(-3)? 6 What is the value of 18/351*-13*48? -32 Evaluate (2210/(-714))/(405/(-486)). 26/7 Evaluate (354276/295230)/((-1)/(-25)*-1*(-1)/(-2)). -60 What is ((-760)/152*(-85)/(-25))/(-527)? 1/31 Evaluate ((-18)/(-6))/(((-40)/(-80))/(108/8)). 81 What is 27/(-114)*((-1)/3)/((-16)/((-192)/6))? 3/19 (-23*69/(-3174))/((-62)/(-8)) 2/31 (-1920)/(-1120)*((-46284)/72)/(-19) 58 What is (-5)/4*(-21032)/(-162998)? -5/31 What is the value of ((-315)/(441945/244))/(3/(-3))? 4/23 Evaluate ((-3552)/74)/((-5)/(-2)*36/(-9)). 24/5 (79040/(-5200))/(2/5) -38 Evaluate (2/(-180)*-3*25/15)/((-52)/780). -5/6 What is the value of 14504/280*-10*10/35? -148 What is the value of ((-288)/4)/(15/(-35)*70/(-20))? -48 (1*1/6)/((-2975)/(-1909950)) 107 Calculate ((-26568)/(-205))/18*(-25)/(-4). 45 What is (14*6/420*-10)/(3/(-30))? 20 What is the value of (2318/(-915))/19*(-8)/(192/(-760))? -38/9 What is the value of ((-115)/(24150/(-180)))/(((-7752)/112)/17)? -4/19 What is ((-48)/7)/((20646/1736)/(-111))? 64 What is the value of (((-48)/88)/(198/484))/(5*-28)? 1/105 What is the value of (20247/2779)/((-3)/35)? -85 Evaluate (-32)/2460*(-87)/((-9744)/(-140)). 2/123 What is the value of -4*((-138)/2)/((12/42)/((-23)/483))? -46 Evaluate 245/56*(-480)/(-60). 35 What is ((-764)/162350)/((4/10)/(-2))? 2/85 Calculate ((6/(-2040)*-5)/(20/48))/((-384)/(-640)). 1/17 Evaluate (-527)/(-8)*(-24272)/206312. -31/4 Calculate (66/165)/(((-2)/20)/(2*9/(-126))). 4/7 Calculate ((-104)/((-27560)/(-159)))/((-4)/(-70)). -21/2 Calculate (17/(-2)*(-57)/114*6/(-3))/(-2). 17/4 What is the value of ((-13)/(-39)*(-55)/16)/(2120/(-1272))? 11/16 (16170/63)/11*((-32)/(-40))/(196/30) 20/7 What is (-4)/(((-2580)/7525)/(27/(-7)))*(-18)/10? 81 (-702)/1001*(-56056)/728 54 Calculate (6/55)/((-650)/(-3125)*25*(-12)/(-78)). 3/22 -11*10*(-168)/(-770)*(-36)/54 16 What is (-15)/(-21)*(-12)/(-10)*1967/(-218337)? -2/259 Calculate (318/(-954)*(-4)/(-2))/(6/1053). -117 (((-1105)/85)/(-13))/((-5)/(45/114)) -3/38 What is (34/(-119))/(3/7)*72660/(-865)? 56 Calculate 80*(((-48)/(-80))/(4347/(-230)))/(15/(-21)). 32/9 Calculate ((110230/(-1057))/365)/((-22)/42). 6/11 33/(-66)*((-128)/112)/((-119)/(-98)) 8/17 6*13/(-156)*-3*32/(-48) -1 What is ((11/(-352))/((-6)/(-8)))/((-246)/246)? 1/24 What is (((-20)/48)/((-70)/14))/(74/1036)? 7/6 Evaluate 1/((((-22256)/(-1177))/104)/((-7)/(-88))). 7/16 ((-8850)/(-625))/118*5/3 1/5 What is the value of (-81)/(-27)*(-28)/49*-10? 120/7 Evaluate ((4/8*-6)/1)/(-105*68/47600). 20 What is the value of (((-4290)/40)/(-13))/(91/(-364))? -33 Evaluate (16/(-1))/((-1308)/61803*(-105)/10). -72 Calculate 12/(-8)*(-2)/15*(8740/(-23))/38. -2 Calculate (-90)/4*(-3496)/(-1311). -60 What is (5/(-12))/(200075/(-54360))? 6/53 What is the value of 25/(-4)*63/(8505/(-54))*(-54)/(-5)? 27 What is the value of ((-23)/((-414)/(-15)))/5*-8*(-15)/6? -10/3 What is the value of ((-46)/184)/((-155)/(-372))? -3/5 (-1855)/(-5565)*(-36)/10 -6/5 Evaluate 1/(2/24)*(-2394)/(-252)*24/48. 57 What is (82/((-42640)/(-325)))/(35/1414)? 101/4 Evaluate ((-3538)/(2059/(-71)))/((-6)/(-3)). 61 Evaluate (-9)/(5/25*-5)*1/(-3)*4. -12 What is the value of 2/((-140)/15)*-14*(-28)/6? -14 What is (15894/(-26490))/(9/(-885))? 59 What is (546/22750)/(6/(-10)*2)? -1/50 What is the value of 1312/1066*65/10*3/(-66)? -4/11 Calculate (-27867)/(-232225)*(-75)/(-69). 3/23 What is (420/112*5*1/(-25))/(39/(-36))? 9/13 Calculate ((-2)/(-53))/2*(102/(-204))/(6/(-12)). 1/53 What is the value of (((-30)/(-24))/(9/(-4)))/(32/(-124032)*
{ "pile_set_name": "DM Mathematics" }
). 4*(o - 3)*(o + 2) Let s(q) be the second derivative of -q**7/273 - 4*q**6/195 - q**5/130 + 5*q**4/39 + 4*q**3/39 - 8*q**2/13 - 3*q - 3. Determine o so that s(o) = 0. -2, 1 Suppose -6*l = -4*l - 6. Factor -3 + 56*a**l - 57*a**3 + 3*a**2 + a + 0*a. -(a - 3)*(a - 1)*(a + 1) Let c = -76 + 94. Let b be (-12)/(-28)*12/c. Factor 0*k - 2/7*k**2 - 4/7*k**3 + 0 - b*k**4. -2*k**2*(k + 1)**2/7 Let t(m) be the first derivative of 0*m - 5/12*m**3 - 1/16*m**4 - 3/4*m**2 - 53. Find o, given that t(o) = 0. -3, -2, 0 Let u(h) be the first derivative of 3*h**4 - 568*h**3/3 - 792*h**2 - 800*h + 217. Factor u(t). 4*(t - 50)*(t + 2)*(3*t + 2) Let c be 2888/722 - 38/(-10). Find r such that 21*r + 147/5 + 3/5*r**3 - c*r**2 = 0. -1, 7 Let p(f) be the first derivative of -2/3*f**3 + 0*f + 1/3*f**4 + 6 - 1/15*f**5 - 7/2*f**2. Let d(c) be the second derivative of p(c). What is l in d(l) = 0? 1 Suppose 0*f - 15 = -3*f. Let y be 84/f - (-1)/5. Determine u so that u**4 - 4*u**3 + y*u**4 - 16*u**5 + 2*u**5 = 0. 0, 2/7, 1 Let x = 6398 - 6396. Let d = -42 + 74. Suppose 6*k + d*k**3 + 24*k**x + 1/2 = 0. Calculate k. -1/4 Suppose -25*w - 26*w = 9*w - 300. Let -1/4 - 3/2*o**2 + 7/4*o**4 + 5/4*o - 1/2*o**3 - 3/4*o**w = 0. Calculate o. -1, 1/3, 1 Factor -157*w**3 + 60*w**4 + w**5 - 169*w**3 - 15*w**2 + 211*w**2 + 74*w**3 - 5*w**5. -4*w**2*(w - 7)**2*(w - 1) Let m = 56 - 56. Let k(s) be the third derivative of 2/105*s**7 + 0*s**5 - 1/168*s**8 + 4*s**2 + 0 + 0*s + m*s**3 + 0*s**4 - 1/60*s**6. Factor k(l). -2*l**3*(l - 1)**2 Let a = 80 - 116. Let l = a - -36. Determine m, given that 4/3 - 1/3*m**2 + l*m = 0. -2, 2 Let o(z) be the second derivative of z**7/105 - z**6/75 - z**5/10 + z**4/6 + 4*z**3/15 - 4*z**2/5 - 17*z. Let o(n) = 0. What is n? -2, -1, 1, 2 Factor -9/2*y**2 - 9*y - 6 - 3/4*y**3. -3*(y + 2)**3/4 Suppose 5*h - 2*v = -4, 7 + 3 = h - 4*v. Let i = h - -4. Solve -9*b**2 + b**i + 17*b**2 - 6*b**2 = 0 for b. 0 Factor 30/13*b**2 + 12/13*b**3 + 0 + 16/13*b - 2/13*b**4. -2*b*(b - 8)*(b + 1)**2/13 Let i(v) = v**3 - 3*v**2 + 3*v + 1. Let c be i(3). Factor -c*b**2 + 0*b**2 - 14*b**3 - 11*b**3. -5*b**2*(5*b + 2) Suppose -4*j + 9*j = 0. Let c(a) be the first derivative of j*a - 11/6*a**3 + 3 + 1/2*a**2 + 9/8*a**4. Let c(r) = 0. What is r? 0, 2/9, 1 Let j be (48/28)/(2/7). Suppose -3*r = -0 - j. Factor -6 - 3*p**3 + 2*p**2 + 4*p**r + 3*p + 0*p**2. -3*(p - 2)*(p - 1)*(p + 1) Let v be (-60)/40*2/(-6). Solve 5/4*g + v + 1/4*g**3 + g**2 = 0. -2, -1 Let i(q) be the second derivative of q**8/15680 + q**7/5880 + 2*q**4/3 - 6*q. Let g(l) be the third derivative of i(l). Factor g(u). 3*u**2*(u + 1)/7 Let b = 60 - 58. Factor -2*q - 3*q**3 + 5*q - 2 + b*q**3 + 0*q**3. -(q - 1)**2*(q + 2) Solve -306/5*b**2 - 154/5*b**4 - 8/5 - 88/5*b - 76*b**3 = 0. -1, -2/7, -2/11 Let j be (-226 - -227)*(-1 - (-25)/7). Solve -22/7*b**4 - 4/7*b**3 - j*b**5 + 0 + 0*b + 0*b**2 = 0 for b. -1, -2/9, 0 Factor 3 + 1/8*c**2 + 5/4*c. (c + 4)*(c + 6)/8 Let t(x) = 15*x**2 - 2*x - 1. Let q be t(-1). Suppose -d = -4*w + 4 - 0, q = -2*w + 5*d. Let -r**2 + r**4 + 2 - w + 2*r**2 + 2*r**3 = 0. Calculate r. -1, 0 Let v(c) be the first derivative of -5*c**4 + 15/2*c**2 - 4 - 5/3*c**3 + 0*c. Find x such that v(x) = 0. -1, 0, 3/4 Let m(w) be the second derivative of w**4/8 - 4*w**3 + 48*w**2 + 53*w + 1. Factor m(g). 3*(g - 8)**2/2 Let b = 1588/3 + -529. Let m(x) be the third derivative of b*x**4 + 2*x**2 + 0*x - 1/30*x**5 - 4/3*x**3 + 0. Factor m(u). -2*(u - 2)**2 Let v = 2022 + -2022. Let p(r) be the third derivative of -1/200*r**6 + 0*r - 11*r**2 + 0*r**4 + v + 0*r**3 + 1/50*r**5. Factor p(g). -3*g**2*(g - 2)/5 Let p(s) be the third derivative of -s**7/420 - s**6/45 - s**5/20 - 5*s**3/6 - s**2. Let a(x) be the first derivative of p(x). Factor a(r). -2*r*(r + 1)*(r + 3) Let i(h) be the first derivative of 12*h**5/5 + 28*h**4 + 256*h**3/3 + 32*h**2 - 192*h - 291. Factor i(f). 4*(f + 2)**2*(f + 6)*(3*f - 2) Suppose -4*c = i - 0*c - 3, 4*i + 4*c - 12 = 0. Let -37 + 43 - i*x**3 + 6*x**3 - 9*x = 0. What is x? -2, 1 Let f(u) be the second derivative of -u**6/75 + u**5/25 + u**4/6 - 2*u**3/5 - 41*u. Factor f(p). -2*p*(p - 3)*(p - 1)*(p + 2)/5 Let u(h) be the third derivative of h**8/168 - h**7/105 - h**6/6 - 4*h**5/15 + 55*h**2. Factor u(a). 2*a**2*(a - 4)*(a + 1)*(a + 2) Let m(y) be the third derivative of y**7/1260 + y**6/360 - y**5/360 - y**4/72 - 5*y**2 + 17. Factor m(h). h*(h - 1)*(h + 1)*(h + 2)/6 Let q(l) = -8*l**3 - 176*l**2 - 115*l + 53. Let u(c) = -9*c**3 - 178*c**2 - 115*c + 54. Let w(d) = 6*q(d) - 7*u(d). Suppose w(m) = 0. Calculate m. -12, -1, 1/3 Let n(r) be the third derivative of -r**5/20 - 5*r**4/8 - 2*r**3 + 332*r**2. Let n(c) = 0. What is c? -4, -1 Let q(n) be the second derivative of 4*n**6/15 + 23*n**5/20 + 7*n**4/6 + 60*n - 2. Find u such that q(u) = 0. -2, -7/8, 0 Let z(i) = i**3 + i**2 - 4*i. Let u(r) = r**3 + 2*r**2 - 5*r - 1. Let k be (-4 - -2)*-1 - (-3 - 0). Let f(j) = k*z(j) - 4*u(j). Let f(d) = 0. Calculate d. -1, 2 Suppose 5*u**2 - 7579 + 17238 - 7269 + 14522 + 25408 - 920*u = 0. Calculate u. 92 Let y be 2 - ((-313)/(-132) + (-2)/8). Let v = 16/11 + y. Factor 4/3*g - 1/3*g**2 - v. -(g - 2)**2/3 Let p(d) be the second derivative of -d**6/60 - d**5/40 + d**4/8 + 5*d**3/12 + d**2/2 - 76*d. Let p(c) = 0. Calculate c. -1, 2 Let y = 2141 + -2105. Factor y*d + 12*d**2 + 36 + 4/3*d**3. 4*(d + 3)**3/3 Factor -86/9*d**3 - 5488/9 - 2/9*d**4 - 140*d**2 - 6664/9*d. -2*(d + 1)*(d + 14)**3/9 Let j(o) be the second derivative of 0 + 0*o**3 - 1/90*o**5 + 1/27*o**4 + 0*o**2 - 10*o. Factor j(h). -2*h**2*(h - 2)/9 Let a be (-6)/24 + (-1)/(-4). Suppose -5*u + 20 = -a*u. Let 2*d**2 + 2/3*d + 2*d**3 + 2/3*d**u + 0 = 0. Calculate d. -1, 0 Let u be (-66 - -57) + (-94)/(-10). Suppose 0 - 4/5*y - u*y**2 = 0. Calculate y. -2, 0 Let q(z) = -4*z**3 - 9*z**2 + 21*z - 22*z + 11 + 5*z**3. Let m be q(9). Factor -i**2 + 2*i**m - i**3 - i**3 + 3*i**3. i**2*(i + 1) Let c(v) = 5*v**2 - 2*v - 1. Let i(q) = -112*q**2 + 52*q + 32. Let o(b) = 44*c(b) + 2*i(b). Find r, given that o(r) = 0. -1, 5 Let q(h) be the second derivative of -h**7/5670 - h**6/1620 - h**5/1080 + 5*h**4/4 - 8*h. Let w(y) be the third derivative of q(y). What is p in w(p) = 0? -1/2 Let v = 7/10 - -561/70. What is s in -1/7*s**4 + 15/7*s**3 + 3*s - v*s**2 + 14 = 0? -1, 2, 7 Let g(m) be the second derivative of m**5/20 - m**4/2 + 7*m**3/6 - 3*m**2 + 7*m. Let p be g(5). Find l, given that -65*l - p*l**2 + 65*l + 4*l**3 = 0. 0, 1 Let y(b) be the third derivative of 0*b + 3/55*b**5 - 4/165*b**6 - 2/33*b**4 + 1/33*b**3 + 0 - 18*b**2 + 1/231*b**7. Find d such that y(d) = 0. 1/5, 1 Suppose -3*t = 3*p - 27, -t = 4*p + t - 34. Solve 3 + 0*o**3 - 4*o**3 - p*o**2 - 3 = 0 for o. -2, 0 Factor 0 + 1/4*k**3 - 1/2*k**2 + 1/4*k. k*(k - 1)**2/4 Let h be ((-176)/(-330))/(48/60). Solve 2/9*b**3 + 14/9*b + 10/9*b**2 + h = 0 for b. -3, -1 Let r(v) be the second derivative of v**9/189 - v**8/168 + v**7/504 - 13*v**4/6 - v. Let c(f) be the third derivative of r(f). Factor c(o). 5*o**2*(4*o - 1)**2 Let y(h) be the third derivative of -2*h**7/21 - 4*h**6/15 - h**5/15 + h**4/3 - 146*h**2. Solve y(r) = 0 for r. -1, 0, 2/5 Let y(o) be the third derivative of 25*o**8/336 + 4*o**7/21 + o**6/20 - 2*o**5/15 + o**4/24 - o**2 + 195*o. Suppose y(i) = 0. Calculate i. -1, 0, 1/5 Let o(h) be the second derivative of -h**7/210 + 2*h**6/75 + h**5/25 - 11*h**4/30 - h**3/10 + 9*h**2/5 - h - 3. Determine q, given that o(q) = 0. -2, -1, 1, 3 Let z(a) be the first derivative of -a**3/9 + 2*a**2/3 - a + 91. Factor z(c). -(c - 3)*(c - 1)/3 Let j be -14 + 11 - 1969/(-657). Let d = 1979/2628 + j. Solve 3*i**3 - 3/2*i**2 + 27/4 - 9*i + d*i**4 = 0 for i. -3, 1 Let a = 377 + -1507/4. Factor 1/4*m**2 - a*m**4 - 1/4*m**5 + 0 + 1/4*m**3 + 0*m. -m**2*(m - 1)*(m + 1)**2/4 Let w be -324 + (-3 - 2*9/(-6)). Let a = -321 - w. Factor 2/9*x**5 + 0*x**a + 0*x + 2/3*x**4 + 0 - 8/9*x**2. 2*x**2*(x - 1)*(x + 2)**2/9 Let j(n) be the third derivative of -30*n**2 + 1/40*n**5 + 0*n + 0*n**3 + 1/240*n**6 + 0 + 1/24*n**4. Find b such that j(b) = 0. -2, -1, 0 Let v(f) be the second derivative of f**7/252 - f**6/180 - f**5/60 + f**4/36 + f**3/36 - f**2/12 - 570*f. Determine s so that v(s) = 0. -1, 1 Let v(q) = 5*q**3 + 105*q**2 + 225*q + 5. Let s(l) =
{ "pile_set_name": "DM Mathematics" }
(b) u (c) 2 a Let r = -335.9 + 291.9. Which is the nearest to -1? (a) -0.1 (b) -5 (c) r a Let w = 334 - 330. Let r = -0.407 - -0.207. Which is the nearest to 5/6? (a) 5 (b) w (c) r (d) 1 d Let y = -1 + 0. Let t = -330.9965 - 0.0035. Let k = 330.97 + t. Which is the closest to 2/7? (a) y (b) 0.2 (c) k b Let o = 0.04 + -2.04. Let l = -834 + 784. Let b be (12/(-70))/(l/125). What is the nearest to -0.1 in o, b, -1? b Suppose -1 = 3*c - 7. Let x be ((-1 - -1) + c)*110/(-20). Let n be 0 + (-3)/(1 - x). What is the nearest to n in -3, 0.3, -5? 0.3 Let l = 16160 - 16160. Let j = 1/3 + -5/6. Which is the nearest to j? (a) l (b) -3 (c) -4/5 (d) -5 c Let c = -1 - -3. Suppose 4*y + 4*w = -28, -4*y - 10 = -w - w. Let o = 125074.5 - 125075. What is the closest to 3 in o, y, c? c Let y = -354 - -502. Let x = y + -148.5. What is the closest to 1 in x, 1, 66? 1 Let d = 8350/13 - 642. Let o = 42607 - 42607.2. What is the nearest to 0.2 in d, o, -0.4? d Let k = 0.3 - 0.3. Let u = -60811/3 - -20269. What is the closest to k in -2, -3, u? u Let p = -4.21 + 0.21. Let m = -55.4 - -55. Which is the nearest to -39? (a) m (b) p (c) 4 b Let h = -249.5 - -250. Let v = -0.14 + 0. What is the nearest to 0 in 1, h, v? v Suppose -672 = 6*l - 12*l. Let q = 113 - l. What is the nearest to q in 4, 0.9, -0.3? 0.9 Let i(y) = -34*y + 111. Let b be i(-6). Let l = -316 + b. What is the nearest to -9 in l, -2/9, -0.1? l Let z = 247.7 + -237. Let n = z + 13.3. Let s be (-12)/68*2/3. Which is the nearest to 0? (a) -0.3 (b) s (c) n b Let i = 37 + -184/5. Let r = 1.06 + -0.06. Suppose -2*a + 4*x - 35 + 57 = 0, 2*x - 34 = -4*a. What is the nearest to r in i, -2/7, a? i Let f = -16949.5 + 16950. What is the nearest to -0.033 in -0.2, f, -1.2? -0.2 Let f = -101.9 - -102. What is the nearest to f in 0.1, -279, -2? 0.1 Suppose 0 = -2*f - 4*a + 18, 2*f - 3*a + 199 - 189 = 0. What is the nearest to 1/4 in -96, f, 3? f Let x = 0.61228 + -0.11228. What is the nearest to 1 in -8.7, x, 0.1, -3/5? x Let k = 209/310 + -17/62. Which is the closest to 0? (a) -3 (b) -2 (c) k (d) 14/13 c Let k = 4.3 - 4. Let q = -1.719 + 0.159. Let g = q + 1.66. Which is the nearest to g? (a) k (b) -1/9 (c) 2 a Let s = -8.9 - -9. Let m = s + -0.4. Let j be (-9 + 9)*-2*4/16. Which is the nearest to j? (a) 1/3 (b) m (c) -3 b Suppose -3*q = 7 + 5. Let m = -531 + 535. Let z = 0.3 + -0.34. Which is the closest to z? (a) q (b) m (c) 2 c Let d = 6 - 2.2. Let w = d - 4. Let q be ((-4)/6)/(323/(-57)). Which is the nearest to w? (a) -0.1 (b) 0.4 (c) q a Let n = 22307 + -22306. Which is the closest to 2/27? (a) 67 (b) n (c) -4 b Let u(n) = -n**2 + 50*n - 52. Let i be u(1). What is the closest to -93 in 0.3, i, -1/3, -2? i Let r = 3.3 - 0.3. Let z = 2175.4 - 2175.6. What is the nearest to 2/5 in z, 8, r? z Let t = 32.034 + -0.034. Let i = t + -31.8. Let j be (-4)/2 + 22 + -21. Which is the nearest to i? (a) 0.3 (b) j (c) -0.2 a Let x = 0.22 + -6.42. Let t = -2.2 - x. Let d = -4.4 + t. What is the nearest to 2/7 in d, 2/9, 0.5? 2/9 Let q = -6.9 + 7. Let g be -11 + (-46)/22*-5. Which is the nearest to q? (a) 3 (b) 4 (c) g c Let o = 22 + -18. Let x be 2/(-6) + (-10)/18*3. Which is the closest to x? (a) -5 (b) 1/4 (c) o b Let a = 5906.846 - 5968. Let n = a + 0.154. Let l = n + 59. What is the nearest to -10 in -5, -1/3, l? -5 Let q = -3158 - -3161. Which is the closest to -0.01? (a) q (b) 0.1 (c) -0.3 b Let g(d) = 3*d**2 + 34*d + 25. Let j be g(-11). Let c(o) = 7*o - 146. Let l be c(j). What is the closest to l in -1, 2, 2/15? -1 Suppose -25 = 3*f - 8*f. Suppose -f*s = 10 + 200. Let u be (-2)/19 + s/(-399). Which is the nearest to u? (a) -3/7 (b) 0.2 (c) -0.03 c Let j = 6.6 + -6.5. Suppose 0 = -6*z + 2*z + d + 1, -8 = z - 3*d. Let x = -0.3 + 2.3. Which is the closest to z? (a) x (b) 1/2 (c) j b Let h = 559.9 + -563. Let r = 17 + -17.9. Let s = h + r. Which is the closest to 1? (a) 0.11 (b) s (c) 1 c Suppose -2*l + 1 = -0*k + k, -2*l = -k - 7. Suppose l*d + d + 2*s + 6 = 0, 3*d + 5*s + 6 = 0. Which is the nearest to 0.07? (a) 5 (b) d (c) -0.3 c Let h be (131 - 161) + (12 - 2). Suppose 4*r - d - 14 = d, -3*r = 4*d - 27. Which is the closest to 1/4? (a) r (b) h (c) -3 c Let t be 12/8*(12 + 952/(-51)). Which is the nearest to -1? (a) 5 (b) -4 (c) -2.3 (d) t c Let f = -0.304 + -0.696. Let w = -387 + 383. Let a = 0.03 - 0. What is the nearest to f in a, 4, w? a Let n be -2*((-1210)/200 - (-11)/((-22)/(-12))). Which is the closest to -1/2? (a) -1.9 (b) 0.4 (c) n c Let k = -196 - -393/2. Let u(v) = -4*v**2 - 2*v + 4. Let l be u(0). Which is the closest to 2/7? (a) -5 (b) l (c) 3/7 (d) k c Let j = 35347.83 - 35348. Which is the closest to 0? (a) 5/7 (b) 3/7 (c) -6/7 (d) j d Let o = 0.3 - -0.3. Let f = 14.882 + -9.882. What is the closest to -0.2 in 0, f, o? 0 Let z(r) = 21*r - 854. Let q be z(40). What is the nearest to -1.9 in 0, 0.4, q? 0 Let n = 52 - 52.096. Let m = n - 0.104. Let l = 0.47 - 0.34. Which is the closest to l? (a) 5 (b) m (c) 0 c Let j = -7.65 - -32.65. Which is the nearest to -1? (a) j (b) -1/5 (c) -2/5 (d) 0 c Suppose 227*h - 470 - 156 = -172. What is the nearest to -13 in h, 1, 14? 1 Let g be 4/(-16)*((-20)/(-8) - 3). What is the closest to 2/5 in -7, g, 5? g Let n = 1.1 + -0.1. Let z(k) = -k**3 - 6*k**2 + 31*k + 32. Let w be 42/(-35)*(-2 + 76/8). Let j be z(w). What is the closest to n in 1, j, -1? 1 Let f be ((-2)/1 - -2)/(-191 + 189). Which is the closest to 1? (a) f (b) -2/9 (c) -5 a Let b = -27 - -22. Let q = -113 - -82. Let d = q - -33. What is the closest to 0.1 in b, -2/9, d? -2/9 Let b = -20.911 - -19.911. Let v = 1025/9 - 114. Let o be (2/4)/((-28)/(-24)). What is the closest to -0.1 in o, b, v? v Let b = 674.1 + -673.8. What is the closest to b in 0.5, -46, -1/6, 4? 0.5 Let g = 1494.5 + -1494.2. What is the nearest to -666 in g, -0.2, 1/2? -0.2 Let u be 1/((-62)/30 - -2). Let a be 5*(-3)/u*-1. Suppose -74 = -12*q + 22. What is the closest to -0.1 in 1/4, a, q? 1/4 Let s = -1.4 - 0.6. Let q = -70691 + 70690.7. Which is the closest to q? (a) -5 (b) 0 (c) s b Let s = -10 + 6. Let f = 0.06 - 0.06. Let w(z) = 28*z + 2294. Let p be w(-82). Which is the nearest to f? (a) p (b) -1 (c) s b Let o = -0.3 + 0.2. Let r be (2 - 52)*9/180*-2. What is the closest to o in -0.5, -5, r? -0.5 Let x = 0.703 + -0.303. Which is the closest to 1/4? (a) x (b) 4/7 (c) -18/13 (d) 0.3 d Let i = 140204/11 + -12746. Which is the nearest to -0.3? (a) -0.3 (b) i (c) 65 a Let r = 2855 - 2854. Which is the closest to r? (a) -2/7 (b) 6 (c) 1/3 c Let m = -3 - -2.5. Let g = -3.2754 + 2.8754. Which is the nearest to 2? (a) g (b) 4 (c) m b Let l = -0.07 + 4.07. Let d = -0.018664 + 0.018664. What is the closest to l in 0.1, d, -0.1? 0.1 Let f be (1/(-3))/(2/(-8))*(-2241)/(-3735). Let k = -5 + 8. Which is the closest to -1/3? (a) -5 (b) f (c) k b Let t = -283.72 - -286. Let w = t + -7.28. Let u(v) = -v**3 + 6*v**2 - 4*v - 7. Let p be u(5). What is the closest to 1 in p, 0.3, w? 0.3 Let k be 2/9 - 2/(-18). Let x = 177 + -70. Let s = -107.1 + x. Which is the nearest to s? (a) k (b) -1 (c) -0.1 c Let b = -3314 - -9944/3. What is the nearest to -10 in 3, 0.3, b, 5? 0.3 Let x = -4.5 + 5. Let i = 116/249 - -50/249. Which is the closest to -0.1? (a) x (b) i (c) 3 a Let l = -34821/2 + 17712. What is the closest to -1 in 4, l, 0? 0 Let j = 75.3 + -75. Let r be 1/3 + (-3)/63. Let k = 3 + -6. What is the nearest to 1 in j, k, r? j Let p = 3060 - 3062. Suppose 8*o - 45 = 3*o. Suppose -5*y + 2*h - o = 11, -3*h = -4*y - 23. Which is the nearest to p? (a) 2 (b) -3/4 (c) y c Let v be (-8)/20*(-5)/(-3). Let a = -0.3626 + 0.0626. What is the nearest to v in 0.1, -3, a? a Suppose 5*b + 0*i + 3*i + 78 = 0, -3*b - 58 = -i. Suppose 16970 - 16898 = -36*r. What is the closest to 1/4 in r, b, -0.1? -0.1 Let z be ((-18)/(-7))/(200/1400). Which is the nearest to -2/3? (a) 16 (b) -5 (c) z b Let t = -137 - -303. Let h = t + -169. Let f = 0.6 - 0.5. What is the closest to f in h, 4/7, 4? 4/7 Let w = 5 - 3. Let m = -153694 + 153695. Which is the nearest to w? (a) -10 (b) m (c) 4 b Let k = 5924 + -5923.2. What is the nearest to k in 3/4, 0, 1/8, -1/14?
{ "pile_set_name": "DM Mathematics" }
ia. 0.242950425 What is 3/16 of a millennium in months? 2250 How many millilitres are there in 0.041849l? 41.849 Convert 52731.88us to milliseconds. 52.73188 Convert 273279.2ml to litres. 273.2792 How many centimeters are there in 6/25 of a meter? 24 How many centimeters are there in 21/4 of a meter? 525 How many micrograms are there in 77.31521 grams? 77315210 Convert 653.0597 millennia to decades. 65305.97 Convert 0.427611 centuries to millennia. 0.0427611 How many kilometers are there in 8.88756 nanometers? 0.00000000000888756 How many millennia are there in 124945.32 months? 10.41211 What is 2/45 of a day in minutes? 64 How many months are there in fourty-three quarters of a century? 12900 How many milliseconds are there in 1/80 of a minute? 750 Convert 0.2389085 decades to months. 28.66902 How many litres are there in 0.5681455 millilitres? 0.0005681455 How many milliseconds are there in 39944.1 weeks? 24158191680000 What is 17/4 of a kilogram in grams? 4250 How many tonnes are there in 2828.15 micrograms? 0.00000000282815 How many millennia are there in 9.526508 centuries? 0.9526508 Convert 34.85713 micrometers to kilometers. 0.00000003485713 What is one quarter of a kilometer in meters? 250 How many litres are there in 20.90892ml? 0.02090892 How many micrograms are there in sixty-nine halves of a milligram? 34500 How many millilitres are there in three eighths of a litre? 375 How many micrometers are there in seventy-three fifths of a millimeter? 14600 How many kilometers are there in 687091.4cm? 6.870914 Convert 160.3818 meters to millimeters. 160381.8 How many minutes are there in 54685.58 weeks? 551230646.4 What is 21/2 of a kilometer in meters? 10500 What is 5/8 of a decade in months? 75 How many nanometers are there in eleven halves of a micrometer? 5500 How many millilitres are there in fourty-nine quarters of a litre? 12250 How many hours are there in 5/8 of a week? 105 What is twenty-one fifths of a millimeter in micrometers? 4200 How many micrograms are there in 5/8 of a milligram? 625 Convert 627395.3 minutes to microseconds. 37643718000000 Convert 711.5982 decades to months. 85391.784 Convert 3.822128 years to decades. 0.3822128 What is 3/25 of a litre in millilitres? 120 What is eleven tenths of a litre in millilitres? 1100 How many millimeters are there in twenty-seven quarters of a meter? 6750 How many months are there in five eighths of a millennium? 7500 How many decades are there in 25/4 of a millennium? 625 What is fourty-three quarters of a day in hours? 258 How many weeks are there in 61.3527642 minutes? 0.00608658375 How many kilometers are there in 0.0871921 millimeters? 0.0000000871921 What is 923816.8 milligrams in micrograms? 923816800 How many millilitres are there in 93446.59l? 93446590 What is eighteen fifths of a century in years? 360 What is 296030.5 litres in millilitres? 296030500 How many litres are there in 3394.194 millilitres? 3.394194 How many nanoseconds are there in 258.3427 hours? 930033720000000 What is 98017.74 years in millennia? 98.01774 What is 2.050517km in nanometers? 2050517000000 What is 31/2 of a day in minutes? 22320 What is twenty-five halves of a decade in months? 1500 What is 0.3568305 days in seconds? 30830.1552 What is 5.586546 years in decades? 0.5586546 Convert 7.770935g to milligrams. 7770.935 What is fourty-three halves of a litre in millilitres? 21500 What is 1.964052 years in centuries? 0.01964052 How many grams are there in one quarter of a kilogram? 250 What is 13/8 of a tonne in kilograms? 1625 How many millilitres are there in 6/25 of a litre? 240 What is one fifth of a century in years? 20 How many hours are there in 40.958946 seconds? 0.011377485 How many millimeters are there in sixty-four fifths of a meter? 12800 What is 23.72902 millilitres in litres? 0.02372902 What is 15/4 of a litre in millilitres? 3750 What is twenty-three thirds of a hour in seconds? 27600 Convert 0.1681821 kilometers to millimeters. 168182.1 Convert 166.9605 millimeters to nanometers. 166960500 What is fourty-eight fifths of a kilogram in grams? 9600 Convert 30.91631 minutes to milliseconds. 1854978.6 How many kilograms are there in fifty-five halves of a tonne? 27500 How many grams are there in 1/20 of a tonne? 50000 How many microseconds are there in 83.31255 weeks? 50387430240000 How many millilitres are there in 57/2 of a litre? 28500 What is 7/8 of a litre in millilitres? 875 How many millilitres are there in 2857.155l? 2857155 What is 2/125 of a gram in micrograms? 16000 How many centuries are there in 1705.175 decades? 170.5175 What is 0.8403991 nanometers in centimeters? 0.00000008403991 Convert 0.4913638 millilitres to litres. 0.0004913638 Convert 1223415.9ns to weeks. 0.00000000202284375 Convert 244.6214l to millilitres. 244621.4 What is 0.5824666kg in micrograms? 582466600 How many minutes are there in thirteen quarters of a hour? 195 What is 7/2 of a kilogram in grams? 3500 Convert 93.46555 millimeters to meters. 0.09346555 What is 641.0466mm in meters? 0.6410466 How many years are there in 3/5 of a millennium? 600 Convert 70.5447 months to millennia. 0.005878725 What is 6/5 of a litre in millilitres? 1200 What is 465.5765 years in centuries? 4.655765 How many kilometers are there in 567514.8 meters? 567.5148 How many millilitres are there in one twentieth of a litre? 50 How many litres are there in 0.5821022ml? 0.0005821022 Convert 843571.7 litres to millilitres. 843571700 How many micrometers are there in 8/25 of a centimeter? 3200 How many nanometers are there in 1.427063cm? 14270630 How many millilitres are there in 1/10 of a litre? 100 How many nanograms are there in 11/2 of a microgram? 5500 What is 1/20 of a milligram in micrograms? 50 How many milligrams are there in 1208.84ug? 1.20884 What is 18/5 of a micrometer in nanometers? 3600 What is 3/5 of a litre in millilitres? 600 What is 7432.247kg in micrograms? 7432247000000 How many months are there in 5545.109 decades? 665413.08 How many nanometers are there in 52/5 of a micrometer? 10400 How many millilitres are there in 43281.9 litres? 43281900 How many nanoseconds are there in 9791.55us? 9791550 Convert 2286.45 micrograms to nanograms. 2286450 Convert 66927.63us to milliseconds. 66.92763 Convert 0.7906731 decades to millennia. 0.007906731 Convert 63638.85 millilitres to litres. 63.63885 What is 17/2 of a litre in millilitres? 8500 What is three fifths of a litre in millilitres? 600 Convert 32984.48m to nanometers. 32984480000000 How many months are there in 13/8 of a century? 1950 What is 0.675363 decades in millennia? 0.00675363 How many seconds are there in one quarter of a day? 21600 How many kilometers are there in 706.8586 centimeters? 0.007068586 What is nineteen quarters of a litre in millilitres? 4750 What is one tenth of a litre in millilitres? 100 What is 31/2 of a decade in months? 1860 Convert 7284.768mm to meters. 7.284768 What is 212951.6 years in millennia? 212.9516 What is 6/5 of a microgram in nanograms? 1200 What is twenty-five quarters of a meter in millimeters? 6250 How many millilitres are there in three fifths of a litre? 600 Convert 22.67331 millilitres to litres. 0.02267331 How many nanometers are there in 3/40 of a micrometer? 75 Convert 2333.642t to micrograms. 2333642000000000 How many millilitres are there in 3/50 of a litre? 60 What is 25/2 of a tonne in kilograms? 12500 How many centimeters are there in 7.733289 millimeters? 0.7733289 How many milliseconds are there in 14853.77 microseconds? 14.85377 Convert 938266.3 days to nanoseconds. 81066208320000000000 What is 5/4 of a week in hours? 210 What is 5.027229 millimeters in nanometers? 5027229 What is 29/5 of a century in months? 6960 How many decades are there in fourty-six fifths of a millennium? 920 Convert 4.630683 millennia to months. 55568.196 What is 3.530548 years in decades? 0.3530548 Convert 941.3859 millennia to decades. 94138.59 What is 1/10 of a millimeter in micrometers? 100 Convert 35.61449 years to months. 427.37388 What is twenty-nine halves of a decade in months? 1740 What is 48/5 of a milligram in micrograms? 9600 What is 0.9079928 millennia in years? 907.9928 What is 3/10 of a litre in millilitres? 300 How many grams
{ "pile_set_name": "DM Mathematics" }
rom {e: 9, i: 10}? 40/323 Calculate prob of sequence rr when two letters picked without replacement from rucrcrccrcrru. 5/26 Four letters picked without replacement from lpllpppppppppl. Give prob of sequence llpl. 10/1001 Three letters picked without replacement from {e: 1, q: 2, b: 2, p: 1, k: 1}. What is prob of sequence pqk? 1/105 What is prob of sequence ggg when three letters picked without replacement from {g: 9}? 1 What is prob of sequence mymk when four letters picked without replacement from mymkyyy? 1/105 Two letters picked without replacement from majxjwmw. What is prob of sequence mm? 1/28 What is prob of sequence ms when two letters picked without replacement from {m: 7, h: 7, s: 5}? 35/342 Three letters picked without replacement from {t: 4, m: 6, i: 2}. Give prob of sequence itt. 1/55 Calculate prob of sequence qrqq when four letters picked without replacement from hhhhhhqqhohrhq. 1/4004 What is prob of sequence vz when two letters picked without replacement from zvwwvwtwwgvwwswvwwvz? 1/38 What is prob of sequence vy when two letters picked without replacement from syv? 1/6 What is prob of sequence nrpr when four letters picked without replacement from {t: 2, n: 1, d: 1, r: 7, p: 5}? 1/208 What is prob of sequence cc when two letters picked without replacement from {d: 2, c: 2, h: 3, j: 2, w: 8}? 1/136 Three letters picked without replacement from {q: 6, y: 1, r: 3, h: 2}. What is prob of sequence hrr? 1/110 Three letters picked without replacement from {r: 4, z: 8, l: 8}. Give prob of sequence zzz. 14/285 Four letters picked without replacement from {z: 10}. Give prob of sequence zzzz. 1 Two letters picked without replacement from dmmvm. What is prob of sequence dv? 1/20 What is prob of sequence uyu when three letters picked without replacement from uuuyuuuyuuuu? 3/22 What is prob of sequence wi when two letters picked without replacement from nwmii? 1/10 Two letters picked without replacement from sjsjss. What is prob of sequence js? 4/15 Calculate prob of sequence qs when two letters picked without replacement from issiqiisiqiqqi. 6/91 Two letters picked without replacement from {m: 1, k: 7, j: 3, z: 1}. What is prob of sequence mj? 1/44 Four letters picked without replacement from uguuughghghg. What is prob of sequence ughh? 1/99 Two letters picked without replacement from nnhhhssnhhhnhsnh. Give prob of sequence nh. 1/6 What is prob of sequence oo when two letters picked without replacement from {k: 3, c: 6, o: 6, u: 2, e: 1}? 5/51 Two letters picked without replacement from {f: 3, v: 5, w: 1, y: 7}. What is prob of sequence yw? 7/240 Calculate prob of sequence rd when two letters picked without replacement from rjjdzgg. 1/42 Two letters picked without replacement from {v: 1, t: 3, u: 7, e: 5, r: 2}. What is prob of sequence et? 5/102 What is prob of sequence yyr when three letters picked without replacement from yvyr? 1/12 Two letters picked without replacement from {b: 4, g: 1, w: 3, h: 2, o: 4}. Give prob of sequence wg. 3/182 What is prob of sequence tj when two letters picked without replacement from {s: 3, j: 3, z: 1, t: 4}? 6/55 Four letters picked without replacement from {h: 2, a: 2}. Give prob of sequence ahha. 1/6 What is prob of sequence lcl when three letters picked without replacement from cll? 1/3 Calculate prob of sequence aa when two letters picked without replacement from arrrcarcrrrcrxrrccxx. 1/190 Two letters picked without replacement from {r: 1, q: 1, h: 1, f: 1, z: 1}. What is prob of sequence qf? 1/20 What is prob of sequence ugq when three letters picked without replacement from dqvwqgdu? 1/168 Three letters picked without replacement from {w: 2, j: 3, n: 10}. What is prob of sequence nnw? 6/91 What is prob of sequence do when two letters picked without replacement from oooodoood? 7/36 What is prob of sequence lh when two letters picked without replacement from rhojxrl? 1/42 Two letters picked without replacement from {m: 1, i: 1, g: 3, k: 2, o: 2, a: 3}. Give prob of sequence gg. 1/22 Four letters picked without replacement from dvvvxpvsdlxx. Give prob of sequence xdsp. 1/1980 Four letters picked without replacement from ybjpymm. What is prob of sequence pybm? 1/210 Calculate prob of sequence ssyp when four letters picked without replacement from pshllpslppypllplp. 1/4080 Three letters picked without replacement from mymymymyyymyyymyyym. Give prob of sequence ymm. 28/323 Four letters picked without replacement from qsttttsfstftfsq. What is prob of sequence fqqt? 1/910 What is prob of sequence sts when three letters picked without replacement from {t: 1, s: 19}? 1/20 Calculate prob of sequence scv when three letters picked without replacement from schvcqhhqcz. 1/330 Four letters picked without replacement from {q: 5, w: 11}. What is prob of sequence wwqw? 165/1456 Two letters picked without replacement from pgl. Give prob of sequence lg. 1/6 Two letters picked without replacement from bqs. What is prob of sequence qs? 1/6 Four letters picked without replacement from rctkwyrrrwrww. Give prob of sequence wwwc. 1/715 Four letters picked without replacement from {d: 1, f: 1, g: 1, i: 1, w: 1}. Give prob of sequence dfgw. 1/120 Two letters picked without replacement from nwzzn. Give prob of sequence zn. 1/5 Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqq. 1 What is prob of sequence jag when three letters picked without replacement from {j: 1, t: 3, a: 2, x: 2, u: 3, g: 1}? 1/660 What is prob of sequence my when two letters picked without replacement from eyeteyyyyymyyyymmey? 11/114 Three letters picked without replacement from {l: 3, b: 2, d: 6, k: 1, g: 7}. What is prob of sequence dgk? 7/969 Three letters picked without replacement from iiiiijiji. Give prob of sequence jii. 1/6 Two letters picked without replacement from connnpncnno. What is prob of sequence no? 6/55 Four letters picked without replacement from gwwwgwwwwwg. What is prob of sequence wwww? 7/33 Four letters picked without replacement from bvhbtfvbhfbbmbbm. Give prob of sequence hhtm. 1/10920 Four letters picked without replacement from aauaaztaz. What is prob of sequence utzz? 1/1512 Two letters picked without replacement from angmagmynmmaanaa. Give prob of sequence gm. 1/30 Calculate prob of sequence yby when three letters picked without replacement from {y: 7, b: 4}. 28/165 Two letters picked without replacement from yoxhhhyhohhyoh. What is prob of sequence yx? 3/182 What is prob of sequence ooa when three letters picked without replacement from {o: 3, a: 5}? 5/56 Three letters picked without replacement from {m: 2, l: 2, b: 5}. Give prob of sequence lml. 1/126 What is prob of sequence iii when three letters picked without replacement from {i: 5}? 1 Three letters picked without replacement from vqqvbbvbvvqb. Give prob of sequence bbb. 1/55 Calculate prob of sequence zl when two letters picked without replacement from {u: 3, z: 2, r: 4, p: 1, l: 1, a: 4}. 1/105 Four letters picked without replacement from {w: 5}. Give prob of sequence wwww. 1 Four letters picked without replacement from {i: 2, o: 1, l: 1, k: 2, r: 1}. Give prob of sequence ilki. 1/210 What is prob of sequence exev when four letters picked without replacement from exeexkxxxevxvxvee? 3/272 Two letters picked without replacement from {v: 1, o: 1, s: 1, e: 1, z: 1}. Give prob of sequence sz. 1/20 Two letters picked without replacement from {i: 4, c: 2}. What is prob of sequence ic? 4/15 Two letters picked without replacement from bjccbh. Give prob of sequence cj. 1/15 Calculate prob of sequence nnnn when four letters picked without replacement from {n: 5}. 1 What is prob of sequence gg when two letters picked without replacement from {o: 2, g: 2, x: 2, k: 1, l: 3, v: 2}? 1/66 What is prob of sequence ykky when four letters picked without replacement from yvvkkkykkyvvv? 1/143 Calculate prob of sequence jjcj when four letters picked without replacement from jcccccjccjc. 1/165 Three letters picked without replacement from ggqgqqgqggqqqggqgqgq. What is prob of sequence qgg? 5/38 Calculate prob of sequence xxx when three letters picked without replacement from {j: 5, q: 5, x: 8}. 7/102 Two letters picked without replacement from {d:
{ "pile_set_name": "DM Mathematics" }
s 5053117 prime? True Is 913751 prime? False Is 471271441 composite? False Is 1496809 composite? True Is 263023877 a prime number? True Is 1650371 composite? False Is 305629591 composite? True Is 15118591 a prime number? True Is 3033233 a composite number? True Is 623657 a prime number? False Is 6078313 a composite number? True Is 2001037 a composite number? False Is 3126653 a composite number? False Is 368170961 composite? True Is 3820411 a prime number? False Is 1080329 a composite number? False Is 10859801 prime? True Is 195393179 prime? True Is 1415429 composite? True Is 6627479 a prime number? True Is 8320289 composite? False Is 1927243 composite? True Is 1664771 a prime number? True Is 35959135 composite? True Is 5541506 prime? False Is 34672399 composite? False Is 561211691 a composite number? False Is 118921227 prime? False Is 2875877 prime? False Is 421913953 a composite number? True Is 664733669 prime? False Is 70003259 prime? False Is 1194462895 a prime number? False Is 11055749 composite? False Is 384133291 a prime number? True Is 9847583 a composite number? True Is 10600813 prime? True Is 2762401 a prime number? True Is 121873823 a composite number? True Is 887021 a composite number? True Is 35003809 a composite number? True Is 6696773 prime? True Is 214312661 a prime number? True Is 413431691 prime? False Is 7516289 a prime number? False Is 3507965 a prime number? False Is 33058643 composite? False Is 12769049 prime? True Is 68508107 composite? False Is 221280113 prime? True Is 392567 a composite number? True Is 4337471 composite? False Is 38297789 a prime number? True Is 255663113 composite? True Is 1765287673 a composite number? False Is 225092591 a composite number? False Is 7942963 a composite number? True Is 1751362 composite? True Is 122270585 a composite number? True Is 10264979 prime? True Is 1220327 a prime number? True Is 5054731 composite? True Is 72633823 a composite number? False Is 2713489 prime? False Is 108991633 a composite number? True Is 47521 prime? True Is 107599727 a composite number? True Is 8515471 a composite number? False Is 2389403 prime? True Is 12934169 composite? False Is 1132613 a composite number? True Is 7225091 a prime number? True Is 139344871 composite? True Is 1096602097 composite? False Is 135487799 a prime number? True Is 24031223 a prime number? True Is 37083941 a prime number? False Is 15962099 prime? False Is 259391227 a prime number? False Is 77834749 a prime number? False Is 24313531 composite? True Is 39373721 composite? False Is 3828289 a prime number? False Is 23428291 a prime number? True Is 31144219 composite? True Is 6553285 composite? True Is 1074223 prime? True Is 3704047 composite? True Is 80561 a composite number? True Is 1303174 a composite number? True Is 38362871 a prime number? True Is 53395421 a composite number? True Is 7223653 prime? False Is 18862457 prime? False Is 4485343 a composite number? True Is 30640019 a prime number? True Is 2147179 a prime number? False Is 3287261 a prime number? True Is 37461029 a composite number? False Is 2131771 a prime number? True Is 4402597 composite? False Is 3954713 a prime number? False Is 41069261 a composite number? False Is 848291 a prime number? False Is 2234063 a composite number? True Is 45125621 composite? False Is 1971563 a composite number? True Is 864533 composite? False Is 365071 a composite number? True Is 84270283 a composite number? True Is 16939861 a prime number? True Is 14624891 composite? False Is 14121703 a composite number? True Is 3502333 a prime number? True Is 1192553 a composite number? True Is 14861437 a prime number? True Is 36333383 composite? False Is 5124479 a prime number? True Is 13577591 prime? True Is 516448235 a prime number? False Is 2233843 a composite number? False Is 1494854457 prime? False Is 96527 prime? True Is 12678067 a composite number? True Is 60060503 a prime number? True Is 1152803 a prime number? False Is 150529003 prime? True Is 46527527 a composite number? False Is 51795517 a composite number? True Is 706823 a prime number? False Is 4192933 prime? False Is 204805 a prime number? False Is 26739461 prime? False Is 33517895 prime? False Is 6285203 a prime number? False Is 2260859 composite? False Is 29682869 composite? False Is 279059765 prime? False Is 199853 a composite number? False Is 261234067 prime? True Is 551351 prime? False Is 334667161 prime? False Is 33288161 a composite number? False Is 16115857 composite? True Is 35626609 composite? True Is 283891 composite? True Is 381097 a prime number? True Is 854517307 composite? True Is 113292869 prime? True Is 41657479 a prime number? True Is 3366347 a prime number? True Is 5542001 a prime number? True Is 49437497 prime? True Is 26031173 a composite number? True Is 98248351 a composite number? False Is 3747509 prime? False Is 24564563 a prime number? True Is 175628831 prime? False Is 26724379 a prime number? False Is 5302573 prime? True Is 22171397 a composite number? False Is 9761107 composite? False Is 96714167 composite? True Is 12526505 a prime number? False Is 2750809 a composite number? False Is 2076265 prime? False Is 6228353 a prime number? True Is 7330387 prime? False Is 2676607 a composite number? True Is 182323 a prime number? False Is 66643157 prime? False Is 24873391 a prime number? False Is 111295 prime? False Is 41520251 a composite number? False Is 2530981 a prime number? True Is 960947759 a prime number? False Is 764041 a composite number? False Is 925214 composite? True Is 72609749 a composite number? True Is 153197159 prime? True Is 2756333 a prime number? False Is 101406793 prime? False Is 49625273 a prime number? True Is 3029603 prime? True Is 1518469 prime? False Is 8440039 composite? True Is 13719733 a composite number? False Is 1838801 a composite number? True Is 1458337 composite? False Is 19478341 prime? True Is 2205493 a composite number? True Is 806563 prime? False Is 14778161 prime? True Is 346706587 composite? True Is 6925283 prime? True Is 4808201 composite? True Is 23740861 a composite number? True Is 1190219 a prime number? False Is 78241519 a composite number? False Is 247722253 prime? True Is 29606641 composite? False Is 69191303 a composite number? True Is 85060961 composite? True Is 7970327 a prime number? True Is 236228119 composite? False Is 19648459 a composite number? False Is 145074679 composite? False Is 392828551 a prime number? False Is 88466431 prime? True Is 7600427 a prime number? True Is 1464781 prime? False Is 2922785 composite? True Is 11930869 prime? True Is 15040561 composite? False Is 4280741 prime? True Is 3163 a prime number? True Is 4794949 prime? True Is 9407209 prime? False Is 7596241 prime? True Is 75958229 prime? False Is 13359526 a prime number? False Is 48597397 prime? False Is 1246698637 prime? False Is 16244545 a composite number? True Is 5875187 composite? False Is 180533 a prime number? True Is 20877853 a prime number? False Is 59921 prime? True Is 261561169 prime? False Is 5855839 a composite number? True Is 141763121 a prime number? False Is 5084671 prime? True Is 119863435 composite? True Is 111136423 prime? True Is 3865469 a composite number? False Is 600529889 composite? False Is 13853881 prime? True Is 45141079 a prime number? True Is 18617483 prime? True Is 8968919 prime? False Is 16145777 prime? True Is 1176337 composite? True Is 2345393 composite? True Is 81980221 prime? False Is 344236899 composite? True Is 89233877 a composite number? True Is 267152891 a composite number? True Is 9101723 prime? False Is 909071 composite? False Is 54092173 a prime number? True Is 307121 a composite number? False Is 1506539 composite? True Is 3015303 a composite number? True Is 12159053 a composite number? False Is 15215845 a prime number? False Is 3356641 a composite number? False Is 196454 a composite number? True Is 26505277 a prime number? True Is 122483 composite? True Is 441097 prime? False Is 34414583 a prime number? False Is 233821439 composite? True Is 164859689 composite? True Is 13508821 a composite number? False Is 1359223 composite? False Is 68008753 a prime number? True Is 203377 a prime number? False Is 95294723 a composite number? False Is 24556027 a compo
{ "pile_set_name": "DM Mathematics" }
-627 + 660. What is the remainder when 157 is divided by w*-9*(-2)/18? 25 Let x(q) = -q**3 - 22*q**2 - 52*q + 98. Calculate the remainder when 153 is divided by x(-19). 0 Let x(w) = w + 3. Let m be x(6). Let c(o) = -o**3 + 10*o**2 - 8*o - 12. Let r be c(m). Calculate the remainder when (-393)/r - (-3)/((-9)/6) is divided by 33. 30 Let h be 1044/15*(-70)/(-28). Let l = -150 + h. What is the remainder when l is divided by 9? 6 Let w(i) = 31*i**3 - i**2 + 1. What is the remainder when w(2) is divided by (-27048)/(-1092) - 6/(-26)? 20 Suppose -l + 32 = -0*l - i, 3*i = -3*l + 120. Let u(j) = j**2 + 5*j + 105. What is the remainder when u(0) is divided by l? 33 Suppose 2*b - 2*p - 32 - 86 = 0, -5*p = 2*b - 125. Calculate the remainder when 5577 is divided by b. 57 Suppose -35*z + 6174 = -14*z. What is the remainder when z is divided by 35? 14 Suppose 4*m - 3*g - 210 = 0, -65*g + 68*g = -6. What is the remainder when 354 is divided by m? 48 Suppose -9*p - 264 = -p. Let s(h) = 7*h**2 + h. Let d be s(1). Let z = d - p. Calculate the remainder when z is divided by 15. 11 Let q = -150 + 240. What is the remainder when 6 - (-1)/(2 + -1) is divided by q/(-108) - (-85)/30? 1 Let m = 46637 + -45876. What is the remainder when m is divided by 172? 73 Let k be 126/((9 - 8)/(8/12)). Suppose -3*c + 2*z = -60, 2*c - 2*z + k = 7*c. Calculate the remainder when 94 is divided by c. 4 What is the remainder when 625 is divided by 154 + -17 + 44 + -8? 106 Let x = -18450 + 41320. What is the remainder when x is divided by 375? 370 Let u = -111 + 111. Suppose 5*l + 27 - 127 = u. Calculate the remainder when 55 is divided by l. 15 Let l = -37 - -53. Suppose -8*r - 3 = -5*r, -3*o + 8 = 4*r. Suppose -l = -o*z + 8. What is the remainder when 88 is divided by z? 4 What is the remainder when (-10)/(-8) + (-236509)/(-28) is divided by 13? 11 Let f = 408 - 404. Suppose 2*n + f*d = 418, -3*n - 5*d = 290 - 916. Calculate the remainder when n is divided by 53. 48 Let g = -438 - -442. Suppose 277 = 3*l + 5*d, 3*l - 281 = -3*d - d. Calculate the remainder when l is divided by (12 + g + -4)*(-5)/(-3). 19 Let t(h) = 13*h**2 + 27*h - 9. Let o(s) = 5*s**2 + 9*s - 3. Let v(q) = -8*o(q) + 3*t(q). Calculate the remainder when v(4) is divided by (-1 + (-2)/6)*-3. 1 Suppose -107*m + 3455 + 115232 + 42990 = 0. Calculate the remainder when m is divided by 72. 71 Let p be (-5 - 4/(-4))/(2 - 6). Let u = 51 - 7. What is the remainder when u is divided by (-40)/(-12)*6 + -5 + p? 12 Suppose -d = -3*x + 116, 41*d = -2*x + 46*d + 60. Calculate the remainder when 517 is divided by x. 37 Let f(m) = 2*m**3 - 2*m**2 + 5*m + 44. Calculate the remainder when f(7) is divided by 87. 58 Let q(a) = -a + 27. Let n = -4 - -10. Let o(l) = -l + 26. Let c(j) = n*o(j) - 5*q(j). What is the remainder when 43 is divided by c(10)? 10 Let s(h) = -24*h + 153. Let k be s(-18). Suppose -6*z + 5*z = -4*v - 140, -5*z + k = 3*v. Suppose 2*d + d = 123. Calculate the remainder when z is divided by d. 38 Suppose -101*t + 4134 = 7*t + 51*t. Calculate the remainder when 621 is divided by t. 23 Let l(h) = 5*h - 43. Let q be l(9). Suppose -5*f + q*p + 173 = 45, -p = -3*f + 77. What is the remainder when f is divided by 9? 8 Suppose 33 = -2*s - 3*b + 142, 4*b + 116 = 2*s. What is the remainder when 2239 is divided by s? 55 Suppose -3*s + 20*s = -6*s + 10879. Calculate the remainder when s is divided by 30. 23 Let y = 496 + 641. Calculate the remainder when y is divided by 142. 1 Let d(g) = g - 4. Let q = -117 + 153. Calculate the remainder when -1 + q + 44/11 is divided by d(12). 7 Suppose 1078*c - 1077*c - 8 = -2*q, 5*c + 10 = 0. What is the remainder when 145 is divided by q? 0 Let n = -7793 + 13717. What is the remainder when n is divided by 13? 9 Let r = -75 - -84. Let i(p) = p**2 - 11*p + 25. What is the remainder when 10 is divided by i(r)? 3 Suppose 53893 + 11844 = 233*l - 35385. What is the remainder when l is divided by 37? 27 Suppose -625*l - 2336 = -630*l - 2*p, 2*p + 2344 = 5*l. Calculate the remainder when l is divided by 27. 9 Suppose s - 60 = -18. Let q = 3220 + -3211. Calculate the remainder when s is divided by q. 6 Let y(n) = -5*n**2 + 67*n + 195. What is the remainder when 1943 is divided by y(15)? 68 Let o(b) = 76*b + 5709. Calculate the remainder when 185 is divided by o(-74). 15 Suppose 11*p - 6*p = 7*s - 144, -46 = -2*s - p. What is the remainder when 39 is divided by s? 17 Let w(d) = 344*d + 2757. Calculate the remainder when w(-8) is divided by 3. 2 Let t be (-3 - (-50)/15)*-681. Let y = t + 123. Let j = y - -131. What is the remainder when j is divided by 7? 6 Suppose 3*a - 134 = -23. Suppose 3*b - 2*x = 43, -4*b - 4*x = -41 - 43. Suppose -10*z = -b*z + 1022. Calculate the remainder when z is divided by a. 35 Suppose h = 4*l - 85, -h + 1 = l - 19. Suppose 4*n = 2*t - 38, 102 - l = 3*t + 2*n. Calculate the remainder when 30 is divided by t. 5 Calculate the remainder when 372 is divided by ((-207)/(-18) - 8)*272/14. 32 Let v be -3 - (2 + 29*-40). Calculate the remainder when 125 is divided by 7/((-63)/(-2)) + v/27. 39 Let i = 270 + -200. Let d = 62 + -44. Calculate the remainder when i is divided by d. 16 Suppose 0 = 5*r + 4*p - 6*p - 32, -5*r - 4*p + 26 = 0. Suppose -3*f + 14 - 77 = 0. Let u = f + 32. What is the remainder when u is divided by r? 5 Let q = 3112 + -2983. What is the remainder when q is divided by 121? 8 Suppose 56*f = 57*f + o - 294, -f = 3*o - 304. Let u = f + -204. Let x(h) = 2*h**3 - 3*h**2 - 4. Calculate the remainder when u is divided by x(3). 16 Let f(o) = 11*o**2 - 10*o + 32. Let s(z) = 9*z**2 - 10*z + 33. Let i(a) = -4*f(a) + 5*s(a). Calculate the remainder when 47 is divided by i(9). 19 What is the remainder when 5/(15/(-336))*(-168)/48 is divided by 118? 38 Suppose -4*c - 5 = -49. Let n = 95 - c. What is the remainder when n is divided by 34? 16 Suppose 0 = -5*y - d, y + 0*y - 5*d = 0. Suppose y = -o - 33 + 43. Suppose o*z - 6*z - 132 = 0. What is the remainder when z is divided by 5? 3 Let w(c) = 3*c + 5. Let f = -113 + 119. Calculate the remainder when 59 is divided by w(f). 13 Let s(h) = -15*h + 7. Let v be s(-12). Let b = -182 + v. Calculate the remainder when 13 is divided by b. 3 Let i = 93 - 93. Suppose -3*j + 49 + 44 = i. Calculate the remainder when (-3 + 52/(-3))*-6 is divided by j. 29 Let r(z) = -13*z + 1. Let t be r(-1). Let g(q) = -q**3 + 13*q**2 + q - 22. Let n be g(13). Let v = n + t. What is the remainder when v is divided by 4? 1 Let f(v) = -v**3 + 6*v**2 + 5*v + 5. Suppose 0 = 2*b + 3*h - 65, 34*b - 38*b + 5*h = -97. Calculate the remainder when f(5) is divided by b. 27 Let q(y) be the second derivative of -3*y**3/2 - 5*y**2/2 - 2*y. Let t(k) = 7*k + 150. Let j be t(-22). What is the remainder when q(j) is divided by 12? 7 Suppose h + h = 36. Let m be (-9)/((-45)/(-10))*-17. Suppose -7*a + m = 6. Calculate the remainder when h is divided by a. 2 Let k(y) = -4*y - 37. Let z be k(-10). Suppose -z*n = -151 + 7. Let w = n + -35. Calculate the remainder when 25 is divided by w. 12 Suppose -2*i - 3 = -61. Let n be (-634)/(-14) + (-4)/14. Let d = n - i. Calculate the remainder when 28 is divided by d. 12 Suppose -13*n + 0*n = -1443. Let t = -16 + 34. What is the remainder when t is divided by 1/8 + n/8? 4 Suppose -54933 + 24108 = -17*a + 96420. Calculate the remainder when a is divided by 70. 65 Let x(z) = 6*z - 3. Suppose -25*m = -20*m - 5. Let f be x(m). Suppose -2 - 6 = -3*g - 2*i, f*g = -5*i - 7. What is the remainder when 28 is divided by g? 4 Let u(k) = -3*k**2 + 18*k + 3. Suppose 2*h - 7 = -3*h + 4*j, 3*h - 3*j = 3. Suppose -p + 57 = 2*p. What is the remainder when u(h) is divided by p? 11 What is the remainder when 1/(2*2/(-2)*5/(-6690)) is divided by 21? 18 Let q be 6/4*(3 - 11). What is the remainder when (q/(-30))/((-2)/(-20)) is divided by (7 + 161/(-21))/((-3)/18)? 0 Suppose -387*m + 5208 = -366*m. What is the remainder when 770 is divided by m? 26 What is the remainder when 709 is divided by 10 - 1329/(-12)*(-50 + 54)? 256 Let c(a) = a**3 + 40*a**2 - 46*a - 130. Calculate the remainder when 365 is divided by c(-41). 65 Let j(d) = -d + 5. Let m(b) = -b**3 - 11*b**2 - 9*b + 6. Let n be m(-10). Calculate the remainder when j(-5) is divided by 6 - -1 - (-5 +
{ "pile_set_name": "DM Mathematics" }
. Give -3*u(m) + 5*v(m). m + 3 Let f(y) = -2*y + y**3 - 14 + 21 - 9 - 4*y**2. Let k be ((-12)/18)/((-4)/18). Let g(c) = -c**3 + 5*c**2 + 3*c + 3. Calculate k*f(p) + 2*g(p). p**3 - 2*p**2 Let w = 8 + -11. Let x(y) = -5*y**2 + 3*y + 7. Let t(m) = 2*m**2 - m - 3. Let b(z) = w*x(z) - 7*t(z). Let j(k) = -9*k**2 + 17*k. Determine 51*b(c) + 6*j(c). -3*c**2 Let w(n) = -5*n**3 + 5*n**2 - 6*n. Let p(r) = -4*r**3 + 4*r**2 - 5*r. Let j(b) = -7*b - 195. Let v be j(-27). Give v*p(u) + 5*w(u). -u**3 + u**2 Let k(d) = 385*d + 44. Let g(v) = 6*v + 1. Calculate 66*g(y) - k(y). 11*y + 22 Let u(f) = -f**2 + 5*f + 6. Let c(v) be the third derivative of 1/6*v**3 + 0 + 1/24*v**4 - 34*v**2 + 0*v. What is -6*c(o) + u(o)? -o**2 - o Let o(w) = w**2 + 1. Let c(i) = -40*i**2. What is c(t) - 2*o(t)? -42*t**2 - 2 Let q(u) = -6*u - 2. Let l(i) = 3*i - 1. Let w(g) = l(g) + q(g). Let v(o) = -11*o - 13. Calculate -2*v(n) + 9*w(n). -5*n - 1 Let f(j) = 17*j**3 - 12*j**2 + 4*j + 3. Let i(w) = -15*w**3 + 10*w**2 - 3*w - 4. Calculate -5*f(p) - 6*i(p). 5*p**3 - 2*p + 9 Let l(s) = 6 - 37*s - 4 + 45*s. Let v(g) = 9*g + 2. Calculate -6*l(p) + 5*v(p). -3*p - 2 Suppose 4*x + 2*m = -32, 2*x + 2*m + 16 = 3*m. Let s = x + 10. Let d(v) = v + 2*v**2 + 0*v - v**s. Let g(o) = 14*o**2 + 10*o + 2. Determine 12*d(f) - g(f). -2*f**2 + 2*f - 2 Let a(t) = -t - 1. Let d(h) = -h**2 + 5*h + 11. Let o be (((-1)/1)/2)/(2/4). Give o*d(v) - 5*a(v). v**2 - 6 Let i(n) = -88*n**3 + 3*n**2 - 6*n - 6. Let s(r) = -2*r**3 + r**2 - r - 1. Calculate -i(l) + 6*s(l). 76*l**3 + 3*l**2 Let m(y) = 2*y + 4. Let j be (-2)/18 + (-2247)/189. Let r(s) = 1. Calculate j*r(t) + m(t). 2*t - 8 Let x(t) = 2. Let v(f) = -85*f**2 - 12. Give -v(h) - 6*x(h). 85*h**2 Let x(c) be the third derivative of c**5/15 + c**2 - 9. Let h(d) = d**2. What is -12*h(m) + 4*x(m)? 4*m**2 Let j = -3331 - -3329. Let m(b) be the third derivative of -b**5/60 + 5*b**4/24 - 5*b**3/6 - 3*b**2. Let y(p) = -2*p + 2. What is j*m(o) - 5*y(o)? 2*o**2 Suppose 0*c - 27 = 7*c + 22. Let k(v) be the second derivative of 0*v**3 - v + 0 - 1/6*v**4 - 3/2*v**2. Let x(r) = 4*r**2 + 7. Calculate c*k(h) - 3*x(h). 2*h**2 Let r(o) = o + 1. Suppose 6*x + 75 - 69 = 0. Let k(j) = 12*j**2 + 4*j + 6. What is x*k(m) + 4*r(m)? -12*m**2 - 2 Let b(t) = -4*t**2 + 7*t. Let d(s) = -15 + 7 + 8 - 2*s**2 + 3*s. Let w(i) = 3*b(i) - 7*d(i). Let q(h) = -6*h**2. What is 6*q(v) + 17*w(v)? -2*v**2 Let t = 19 - 13. Let m(y) = -y. Let r(a) be the first derivative of 0*a**2 + 13 - 1 + a**2. Give t*m(i) + 2*r(i). -2*i Let p(g) = 11*g**2 - 4. Let y(v) = -98*v**2 + 35. Suppose -5*t = 4*r - 3*r - 173, r = t - 37. Determine t*p(w) + 4*y(w). -7*w**2 Suppose 3*s + 3 + 6 = t, t = 0. Let a(j) = -10*j**2 + 3*j - 2. Let o(l) = 20*l**2 - 5*l + 3. Give s*o(g) - 5*a(g). -10*g**2 + 1 Let y(h) = 3*h**3 + 7*h**2 + 5. Let n(k) = 4*k + 91. Let l be n(-24). Let z(w) = -4*w**3 - 11*w**2 - 8. Calculate l*z(t) - 8*y(t). -4*t**3 - t**2 Let h(w) = -8*w - 3. Let s(o) = o - 1. Suppose -f = -5, -2*b + 4*f + 1 - 19 = 0. What is b*h(z) - 3*s(z)? -11*z Let s(v) = -4*v + 1. Suppose 4*t = 24*t + 60. Let r(c) = 4*c. Give t*r(p) - 2*s(p). -4*p - 2 Let l(q) = 7*q + 2. Let j(m) = -15*m - 2. Give -6*j(t) - 13*l(t). -t - 14 Let z(r) = 8 + 0 + 3*r - 18*r - 7*r**2. Let h(w) = 4*w**2 + 8*w - 4. What is 11*h(o) + 6*z(o)? 2*o**2 - 2*o + 4 Suppose -3*x = 12*x + 15. Let u(d) be the second derivative of 5*d**3/6 - 2*d**2 + d. Let q(t) = t - 1. Calculate x*u(w) + 3*q(w). -2*w + 1 Let g(w) = 9*w**2 - 5*w - 5. Let d(s) = -14 + 13 + 24*s + s**2 - 25*s. Calculate 10*d(u) - 2*g(u). -8*u**2 Let q(l) = -3*l - 6. Let t(j) = -2*j - 5. Let y(x) = x + 1. Let k(d) = -t(d) + 2*y(d). Suppose 0 = 13*p - 43*p - 210. Calculate p*q(s) - 6*k(s). -3*s Let f(b) be the first derivative of -4*b**4 + 14/3*b**3 - 48 + 12*b + 6*b**2. Let u(y) = -y**3 + y**2 + y + 1. What is f(r) - 12*u(r)? -4*r**3 + 2*r**2 Let b(m) = -m**3 - 6*m**2 - 8*m - 1. Let c be b(-3). Let o(h) = 3*h + 7. Let y(r) = -2*r - 7. Give c*y(f) - 3*o(f). -f + 7 Let h(u) = -u**3 - u. Let x(w) = 2*w**3 - w**2 - 4*w - 7. What is -2*h(d) + x(d)? 4*d**3 - d**2 - 2*d - 7 Let q(o) = -2*o - 5. Let h(x) = -6*x - 14. What is 4*h(l) - 14*q(l)? 4*l + 14 Let i(b) = -16*b**2 - 6*b - 6. Let u(c) = 62*c**2 + 22*c + 23. Calculate 22*i(y) + 6*u(y). 20*y**2 + 6 Let u(c) = -9*c + 3. Let h(n) be the third derivative of -n**4/24 + n**3/6 + 79*n**2. Determine 6*h(p) - 2*u(p). 12*p Let k(f) = -f**3 - f**2 - f. Let h(j) = -2*j**3 - 4*j**2 - 5*j. Let o = 15 + -12. Suppose d - o = -2*d. Let y be d - 0 - (-1 + 1). Calculate y*h(w) - 4*k(w). 2*w**3 - w Let w(q) = q**3 + q**2 - q + 2. Let u(i) = 332*i**3 + 5*i**2 - 5*i + 10. What is u(b) - 5*w(b)? 327*b**3 Let n(m) = 45*m - 2. Let i(y) = -91*y + 4. Determine -4*i(f) - 9*n(f). -41*f + 2 Let q(u) = 21*u - 6. Let o = 1295/12 + -429/4. Let p(n) be the second derivative of 2*n + 1/2*n**2 - o*n**3 + 0. What is 11*p(j) + 2*q(j)? -2*j - 1 Let y(j) = j**2 + j + 1. Let t(f) = -123*f**2 + 6*f + 6. What is -t(o) + 6*y(o)? 129*o**2 Let a(v) = 5*v**3 - 8*v**2 + 6*v - 1. Let j(l) = 2*l - l**2 + 362131*l**3 - 2*l**2 - 362129*l**3. Determine -3*a(c) + 8*j(c). c**3 - 2*c + 3 Suppose 100 = -0*f - 4*f. Let t = f - -23. Let q(n) = -4*n**2 - 4*n + 2. Let i(l) = -5*l**2 - 5*l + 3. What is t*i(r) + 3*q(r)? -2*r**2 - 2*r Let k(d) = 2*d - 1. Let f(g) = -4*g - 9. Let w(n) = -11*n - 24. Let t(h) = -8*f(h) + 3*w(h). Determine -k(u) - 5*t(u). 3*u + 1 Suppose -6*v + 3*v - 9 = 0, 4*b = -v + 29. Let w(c) = 30*c**2 - 8. Let p(u) = 20*u**2 - 5. Calculate b*p(j) - 5*w(j). 10*j**2 Let s(u) = 51*u - 5. Let k(r) = -403*r + 39. Calculate -5*k(t) - 39*s(t). 26*t Let i(o) = -9*o**3 + 12*o**2. Let j be 2*3/2 - 38. Let r be (2 - (-84)/j)*(29 - -1). Let m(q) = -q**3 + 3*q**2 - 4*q**2 + 2*q**3. Determine r*m(v) - i(v). -3*v**3 Let u(x) be the third derivative of 0*x + 0 + 1/6*x**3 + 7*x**2. Let c(a) = -3*a - 12. What is c(r) + 12*u(r)? -3*r Let y(w) = -3*w. Let g(x) be the second derivative of -10*x**3/3 + 144*x. Give -2*g(l) + 15*y(l). -5*l Let a(u) = u**2 + 2. Let r be ((-10)/(-40))/((-3)/12) - 1. Let x(m) = 2*m**2 + 5. Determine r*x(l) + 5*a(l). l**2 Let w(x) = x**3 - 17*x**2 - 19*x + 16. Let v be w(18). Let m(k) be the second derivative of k**3/6 + 3*k + 5. Let t(j) = -2*j + 1. Give v*t(i) - 3*m(i). i - 2 Let p be (4 - 45/10)*-4. Suppose 33 = -i - p*i. Let t(a) = -16*a**2 - a. Let f(d) = -3*d**2. Determine i*f(g) + 2*t(g). g**2 - 2*g Suppose c = 3*c + 6. Let m(o) = 2 + 2 - 3. Let s(b) be the first derivative of -b**2/2 + 2*b + 2201. Determine c*m(p) + s(p). -p - 1 Let n(a) = 1. Let i(j) = 3*j**2 + 2*j + 7. Let s(u) = 47*u + 469. Let y be s(-10). Calculate y*i(c) + 6*n(c). -3*c**2 - 2*c - 1 Let q(s) = -47*s**2 + 6. Let p(v) = -5453*v**2 + 697. Determine -6*p(c) + 697*q(c). -41*c**2 Suppose 5*y + 6 = 3*a + 20, a + y - 6 = 0. Let m(d) = 7*d - 13*d + a + 8*d. Let h(x) = x + 1. Give -7*h(b) + 4*m(b). b + 1 Let l(n) = 15288*n**2 - 833*n + 833. Let q(w) = 110*w**2 - 6*w + 6. Give -6*l(c) + 833*q(c). -98*c**2 Let z(m) = -m - 1. Let u(w) be the first derivative of -w - 176. Calculate -5*u(b) + 5*z(b). -5*b Let h(u) = u**3 - 5*u - 1. Suppose -2*m - 10 = -16. Let s(w) = 2 + 1 - 18*w - 2*w**m - 1 + 26*w. Give -8*h(o) - 5*s(o). 2*o**3 - 2 Let t(v) = 2*v**3 - v**2 - 1. Let n(a) = 130*a**3 - 70*a**2 - 70. What is 5*n(w) - 350*t(w)? -50*w**3 Let n(g) be the third derivative of -13*g**6/120 + g**5/60 + g**4/4 + g**3 - 319*g**2. Let u(y) = -y**3 + y + 1. Give n(a) - 6*u(a). -7*a**3 + a**2 Let q(f) = 8*f**3 + 9*f - 6. Let v(u) be the first derivative of -u**4/4 - u**2/2 + 94. Calculate 2*q(c) + 18*v(c). -2*c**3 - 12 Let q(i) = 22*i + 20. Let w(t) = 11*t + 11. Calculate 3*q(b) - 5*w(b). 11*b + 5 Let v(h) be the first derivative of -1/3*h**3 + 0*h + 0*h**2 + 13. Let w(o) = 2*o**3 + 4*o**2. Determine -4*v(n) - w(n). -2*n**3 Let y(r) = 3*r - 4. Let k(c) = -6*c + 8. Let g(v) = -v**3 - 3*v**2 + 10*v + 4. Let f be g(-5). Determine f*k(z) + 7*y(z). -3*z + 4 Let u(p) = p**2 - 6*p. Let r(k) = -k. Let x(b) = -5*r(b) + u(b). Let y(m) = m**2 - 3*m + 3. Suppose 14*l + 0 = -14. What is l*y(w) + 2*x(w)? w**2 + w - 3 Let i(f) = -f**3 - 4*f**2 - 2*f - 3. Let x be i(-3). Let w(u) = -27*u + 712. Let b be w(26). Let g(a) = -4*a - 3. Let s(m) = -7*m - 5. Give b*g(z
{ "pile_set_name": "DM Mathematics" }
r when 18 is divided by r? 4 Suppose -15*h + 19 = -14*h. Calculate the remainder when h is divided by 7. 5 Suppose -3*f - c - 31 = -158, 4*f = 3*c + 191. Calculate the remainder when f is divided by 12. 8 Let n(w) = -w**2 - 5*w + 38. Calculate the remainder when 47 is divided by n(-7). 23 Let f(z) = -3*z - 9. Suppose 3*q + 21 = 2*k, 5*q + 0*k = k - 42. What is the remainder when 52 is divided by f(q)? 16 Suppose -8 = 4*i + 8. Let b = i + 4. Suppose f = -b*f + 5. Calculate the remainder when 8 is divided by f. 3 Let s(v) = -2*v**2 - 19*v - 11. What is the remainder when 51 is divided by s(-8)? 12 Calculate the remainder when 20 is divided by (-1 + 0 - -12)*1. 9 Let v = -2 - -2. Calculate the remainder when (v + 2)*1 + 32 is divided by 18. 16 Let s be (-2 - -1)*-1*-3. Let j = s + 24. Calculate the remainder when j is divided by 8. 5 Let m = -17 - -58. Suppose 4*c - m = 3. What is the remainder when 34 + 0/2 + -2 is divided by c? 10 Let d = 72 - 46. Let n(z) = 4*z**2 - z + 8. What is the remainder when n(-4) is divided by d? 24 Suppose 0 = 3*r + 2*r - 5. Calculate the remainder when 12 is divided by 5 + (0 - -2)/r. 5 Let v(k) = -k**2 - 7*k + 1. Let i be v(-7). Suppose -5*o + 30 = y, -6 = 4*o - 5*y - i. Suppose 8 = q - 0. Calculate the remainder when q is divided by o. 3 Let f = 7 + -4. What is the remainder when ((-36)/27)/(2/(-9)) is divided by f? 0 Let s(h) = -h**3 - 11*h**2 - 17*h + 15. Suppose 5*x - 87 = 2*x. Calculate the remainder when x is divided by s(-9). 5 Suppose -3*r - 4*s + 34 = 0, -10 = -2*r - 3*s + 12. Calculate the remainder when 25 is divided by r. 11 Suppose 3*m = 3*u, 2*u = -m + 5*m - 4. Calculate the remainder when (-2)/(-6) - m/(-3) is divided by 1. 0 Let l be (15/(-6))/(3/(-6)). Suppose 5*p + 2*a - 40 = 0, 0 = -p + 3*a - 4 - l. Calculate the remainder when 3*1*10/3 is divided by p. 4 Calculate the remainder when (-6 - -9)/((-1 + 2)/18) is divided by 19. 16 Let u = -4 + 9. What is the remainder when (-3)/((-18)/28)*3 is divided by u? 4 Let u = 68 - 39. Let c = u - 18. Let w = -1 + c. What is the remainder when 19 is divided by w? 9 Let x be (-6)/(-33) + (-42)/(-11). Suppose -2*y = -2*p - 20, x*p = y - 3 + 2. What is the remainder when 37 is divided by y? 11 Suppose 126 = 5*i - 1149. Calculate the remainder when i is divided by 43. 40 Suppose -4*g + 8*g + 4*h = 40, 5*h = 5*g. What is the remainder when 25 is divided by g? 0 Suppose 2*a + 70 = 5*a + 4*u, 5*a + 2*u = 140. Suppose 0 = -3*b + 2*b + 57. What is the remainder when b is divided by a? 27 Let p be ((-38)/(-8))/((-11)/44). Let b = p - -33. What is the remainder when 27 is divided by b? 13 Let c(f) = -f**3 - 2*f**2 - 2*f - 2. Suppose 0 = y + 2*d + 3, -14 = 3*y - 2*d + 3. Let l(j) = -j. Calculate the remainder when l(y) is divided by c(-2). 1 Suppose -5*p - 68 = -258. Calculate the remainder when p is divided by 10. 8 Let r be (-9)/(-6)*16/(-6). Suppose -b - 3 = -10. What is the remainder when b is divided by (-6)/(-3) - r - 2? 3 Let a(b) = -b**3 - 9*b**2 - b + 5. Let p be a(-5). Let r be ((-4)/(-3))/(2/p). What is the remainder when (r/(-3))/(-1 - -2) is divided by 11? 9 Let n be -2*((-9)/(-6) - 2). Suppose 2*t + d = n, t + 4*d + 2 = 3*d. What is the remainder when 6 is divided by t? 0 Suppose -4*q + 9 + 11 = 0. Suppose q*o - 86 - 59 = 0. Calculate the remainder when o is divided by (-15)/(-2)*(-1 + 3). 14 Suppose 33 + 9 = 2*v. Calculate the remainder when 61 is divided by v. 19 Suppose 3*h = -4*c - 0*h + 233, 4*h - 68 = -c. Let p(l) = l + 25. Calculate the remainder when c is divided by p(-6). 18 Suppose 3*f + 0*f - 42 = -3*m, -2*f + 55 = 5*m. Suppose 2*z - 4 = -2. Suppose -c + 25 = -z. What is the remainder when c is divided by m? 8 Let a be 640/24 - (-1)/3. Let o = a + -8. What is the remainder when 55 is divided by o? 17 Suppose 8*m - 32 = 6*m. Suppose 3*v - 2 = 2*n, 0*n + 5 = n. Suppose -v = q - 50. Calculate the remainder when q is divided by m. 14 Let t(g) = -32*g + 3. Suppose -q = 4 - 13. What is the remainder when t(-1) is divided by q? 8 Let l = 23 - 16. Let r(m) = 2*m - 9. What is the remainder when 19 is divided by r(l)? 4 Let y(t) = 2*t**2 - t + 2. Suppose 4*o - 2*i = 0, o - 5*i + 0*i = 18. Suppose 46 = 3*c - c. Calculate the remainder when c is divided by y(o). 11 Calculate the remainder when (-1)/3 + 102/9 is divided by 3. 2 Let p be (-4)/((-16)/6)*10. Suppose 2*r - 2*o - 16 = 0, -2*r + p = 3*o - 4*o. What is the remainder when r is divided by 2? 1 Suppose -2*u + 3*u = 14. What is the remainder when 16/(-24) + 50/3 is divided by 7*1 + u/7? 7 Let v(q) = 26*q - 6. Let g(c) = -c + 1. Let y(f) = -5*g(f) - v(f). What is the remainder when y(-1) is divided by 6? 4 Suppose 91 = -3*p + 103. What is the remainder when p is divided by 4/(-2) - (1 + -6)? 1 Let t(h) = -h**3 + h**2 - h. Let q be t(0). Suppose -d + 24 = -q*d. What is the remainder when 71 is divided by d? 23 Let f(z) = z**3 - 2*z + 1. Calculate the remainder when f(4) is divided by 10. 7 Suppose -3*z = -j - 3, -2*z + 2*j = -j - 2. Calculate the remainder when 29 is divided by 20*z + (-10 - -6). 13 Suppose -4*n + i = -25, -n - 3*i + 10 = 4*n. Let a(z) = -z**3 + 6*z**2 - 2*z - 7. What is the remainder when 29 is divided by a(n)? 5 Calculate the remainder when 25 is divided by 4 - 2 - (1 - (2 - -4)). 4 Suppose 0 = -3*a + 1 + 11. Suppose 4*g - 9 = -5*w + 3, a*w - g - 18 = 0. What is the remainder when -4*9/(-12)*2 is divided by w? 2 Suppose v - 6*v + 3*o + 19 = 0, -4*v - 3*o + 26 = 0. What is the remainder when v is divided by (4/2)/6*9? 2 Let j(i) = 9*i - 31. Calculate the remainder when j(9) is divided by 27. 23 Let k(c) = 4*c**2 - c + 2. Suppose -3*f + f - 10 = 0, 4*b - 2*f - 34 = 0. Calculate the remainder when k(2) is divided by b. 4 Let w = 2 - -1. Suppose -w*y - 3*j + 30 = 0, -4*y + 49 = -0*y - 5*j. Calculate the remainder when y is divided by 4. 3 Let t = -7 + 14. Suppose -t*d + 16 = -3*d. What is the remainder when d is divided by 3? 1 Let x(p) = -p**3 - 12*p**2 - 35*p + 6. What is the remainder when x(-11) is divided by 17? 15 Let f(c) = 2*c - 1. Let u be f(4). Suppose -u*t - 170 = -2*t. What is the remainder when ((-4)/(-8))/((-1)/t) is divided by 9? 8 Let v(x) = 4*x + 137. Suppose 0*f = -2*s - 2*f, 0 = s - f - 6. Suppose -s*i = -0*i - 42. What is the remainder when v(-24) is divided by i? 13 Let n(w) = -w**3 + 3*w**2 + 3. Let j be n(3). Suppose 24 = j*m + m. Let z = m + 0. Calculate the remainder when 10 is divided by z. 4 Suppose 5*p + v + 36 = 6, -4*p - 24 = -v. Let t be (33/p*-2)/1. Suppose 91 = 3*x - t. What is the remainder when x is divided by 12? 10 Let s(b) = b**2 - 11*b + 7. Let c be s(10). Let t = c - -11. Calculate the remainder when t is divided by 6. 2 Suppose 0 = -n + 2*n + 4. Let f = 6 + n. Suppose -2*s + f = -s. What is the remainder when s is divided by 2? 0 Let j = -33 - -35. Calculate the remainder when 5 is divided by j. 1 Suppose 4*t + 37 = 77. What is the remainder when 97 is divided by t? 7 Let r(l) = 2*l**2 - 7*l. Let k = -13 + 19. Let o be r(k). Suppose 2*m - o = -2. Calculate the remainder when m is divided by 5. 4 Let y(o) = -3*o - 11. Calculate the remainder when 50 is divided by y(-8). 11 Let a(p) = -p**3 - 11*p**2 - 11*p - 6. Let g be a(-10). Let s = g + -2. What is the remainder when 3 - (1 + 3*-1) is divided by s? 1 Suppose -4*h = h. Suppose h = p - 6*z + 3*z - 40, 2*z + 110 = 4*p. Suppose -44 = -5*g + 1. What is the remainder when p is divided by g? 7 Let l(a) = -a**3 + 7*a**2 + 7*a + 11. Let p be l(8). Let f = p - -1. What is the remainder when f is divided by 3? 1 Suppose 4*h = 3*h + 2. Suppose -3*x + 257 = h*c, 4*c = -3*x - 0*c + 259. What is the remainder when x is divided by 22? 19 Let f be -2 - (-40)/(2/2). Let h = -18 + f. Suppose -5*p - h = 0, 10 - 53 = -5*y - 3*p. Calculate the remainder when 41 is divided by y. 8 Let h(o) = -o + 7. Let c be h(0). Suppose 3*k - 23 = c. What is the remainder when (-14)/((0 - 1)/2) is divided by k? 8 Suppose -3*m = -4*m + 20. Calculate the remainder when m is divided by 12. 8 Let j be (1/3)/(3/(-27)). Let o = j - -8. Calculate the remainder when o is divided by (-6)/4*8/(-6). 1 Suppose 39 = 3*x + 4*z, 0 = -5*x - z - 2*z + 76. Suppose 3*y + 87 = 2*q, -67 = -3*q - 2*y + 31. What is the remainder when 84/q*(20 + 1) is di
{ "pile_set_name": "DM Mathematics" }
16787/2 in ascending order. -0.7, 2/3, 5, 16787/2 Put 0.2, -2/17, -0.06, -0.3, -0.32 in descending order. 0.2, -0.06, -2/17, -0.3, -0.32 Sort 2, -1, 4, -76, -5, -142 in descending order. 4, 2, -1, -5, -76, -142 Sort -0.75, 0.1, -8, 1, -7, 2. -8, -7, -0.75, 0.1, 1, 2 Sort 2, 3/8, -3/10, 2/13, 0, -5 in descending order. 2, 3/8, 2/13, 0, -3/10, -5 Sort 5, -12, 11, 3, -3, 2 in ascending order. -12, -3, 2, 3, 5, 11 Put 0.05, 6, 5, 362, -5/2 in decreasing order. 362, 6, 5, 0.05, -5/2 Put 1, -516, 2, 5, -5, 0 in increasing order. -516, -5, 0, 1, 2, 5 Sort -8388, 2/485, 4 in increasing order. -8388, 2/485, 4 Put 40, 1, -1, -5, -2, 0 in decreasing order. 40, 1, 0, -1, -2, -5 Put 2/5, 1/13, -185, -2/7, 3 in ascending order. -185, -2/7, 1/13, 2/5, 3 Sort -235, 0, 6, -12. -235, -12, 0, 6 Sort -5, -12, 34, 69 in decreasing order. 69, 34, -5, -12 Put -165, 1, 3 in decreasing order. 3, 1, -165 Put -1, 78, -687 in decreasing order. 78, -1, -687 Sort -5, 3/8, 0.649, -2/11, -2/9 in decreasing order. 0.649, 3/8, -2/11, -2/9, -5 Put -901, 4, -5 in descending order. 4, -5, -901 Sort -2, -10, -966, 40 in ascending order. -966, -10, -2, 40 Put 3, -3, 20, -4, -6 in descending order. 20, 3, -3, -4, -6 Put 1, 2/7, 233321 in increasing order. 2/7, 1, 233321 Sort 7257.53, -2, 3 in decreasing order. 7257.53, 3, -2 Put -64/5, -23, 0.1 in decreasing order. 0.1, -64/5, -23 Sort 1, 0, -49, 2 in ascending order. -49, 0, 1, 2 Sort -2/3, -2, 4. -2, -2/3, 4 Put 4.34, -4, -0.4, 2/29 in decreasing order. 4.34, 2/29, -0.4, -4 Put -3/2, -5, -3/5, 446, -0.2, -4 in increasing order. -5, -4, -3/2, -3/5, -0.2, 446 Sort -6, 3, 0, 56, -44 in ascending order. -44, -6, 0, 3, 56 Put -19/4, -8/3, 3, -5, -100 in decreasing order. 3, -8/3, -19/4, -5, -100 Put -0.36, 4/3, -0.014, -1 in descending order. 4/3, -0.014, -0.36, -1 Put 4/3, -2/3, -4.3, -6, 6 in ascending order. -6, -4.3, -2/3, 4/3, 6 Sort 5, 16, 2, -5, -2. -5, -2, 2, 5, 16 Sort -3, -91, 24, 3 in ascending order. -91, -3, 3, 24 Sort 0.4, -133, -3.3, -0.02, 4. -133, -3.3, -0.02, 0.4, 4 Sort -2, 1/5, 0.008, -2/11, 74, -4 in descending order. 74, 1/5, 0.008, -2/11, -2, -4 Sort -3/2, -5/17, 30/13 in increasing order. -3/2, -5/17, 30/13 Sort -548, 0.35, -2. -548, -2, 0.35 Put -0.03, -10/17, 0.5, -3, 0.352 in descending order. 0.5, 0.352, -0.03, -10/17, -3 Sort 0, -5, -267, 4, 1 in increasing order. -267, -5, 0, 1, 4 Put 2/11, -2, 14, -3, 2, 3/4 in decreasing order. 14, 2, 3/4, 2/11, -2, -3 Put 3, -113, -2, -47, 2 in increasing order. -113, -47, -2, 2, 3 Put -0.4, -2788, 4, 0 in ascending order. -2788, -0.4, 0, 4 Put 5, 2608, 7 in decreasing order. 2608, 7, 5 Put -0.3, 101, 0.2, 99, 5 in decreasing order. 101, 99, 5, 0.2, -0.3 Sort -2, 5, -9, 4, 3, 9 in increasing order. -9, -2, 3, 4, 5, 9 Put 4, -32, 1, -1705, 2 in descending order. 4, 2, 1, -32, -1705 Put 0, 4.1, -410 in decreasing order. 4.1, 0, -410 Put 20, 4, -0.19, -1, 8/7, 6 in descending order. 20, 6, 4, 8/7, -0.19, -1 Sort -3, -6, 203, 2, 4. -6, -3, 2, 4, 203 Put 2, 145, 73 in descending order. 145, 73, 2 Sort 5, -1, -100, 4, 3 in ascending order. -100, -1, 3, 4, 5 Put -73, -0.0797, 5 in decreasing order. 5, -0.0797, -73 Sort -5, 266, 2, 0, -4 in decreasing order. 266, 2, 0, -4, -5 Put -2/13, 0.4, 0.025, 4, -5, -4/7 in decreasing order. 4, 0.4, 0.025, -2/13, -4/7, -5 Put -9, 1/4, 58, -0.4, 73 in increasing order. -9, -0.4, 1/4, 58, 73 Sort 4, 100, 6, 1 in descending order. 100, 6, 4, 1 Put 0.5, 3/7, -402, -6, 0.2 in descending order. 0.5, 3/7, 0.2, -6, -402 Sort 4, 0, -4, 8, -616, -3 in decreasing order. 8, 4, 0, -3, -4, -616 Put -0.01, -12, -10/7, 4 in decreasing order. 4, -0.01, -10/7, -12 Put 5, 3, 2, 0, -48 in increasing order. -48, 0, 2, 3, 5 Put -4, 5, 963, -5, -2, 6 in ascending order. -5, -4, -2, 5, 6, 963 Sort 3, -3, 77, 9, -12. -12, -3, 3, 9, 77 Sort 32, 809, 3, 1, 5 in decreasing order. 809, 32, 5, 3, 1 Put 4, 24, 2, -1, -2/871 in increasing order. -1, -2/871, 2, 4, 24 Sort 179, 15, -5. -5, 15, 179 Sort -2, -119, 18, -1, -13 in descending order. 18, -1, -2, -13, -119 Put 1, 25, -4, 10, 2, -3 in descending order. 25, 10, 2, 1, -3, -4 Sort -4, -31, -5, -1, 4, 14 in ascending order. -31, -5, -4, -1, 4, 14 Sort -3, 3, -2.1, 24848 in descending order. 24848, 3, -2.1, -3 Sort -2, 2833, -5 in decreasing order. 2833, -2, -5 Put 3, -221, -12, 10 in decreasing order. 10, 3, -12, -221 Sort -38, 249, 1 in decreasing order. 249, 1, -38 Sort 3, 35, -534, -2, -1. -534, -2, -1, 3, 35 Sort 0, 8, 2118, 2 in descending order. 2118, 8, 2, 0 Sort 5, -1, 22814, -11 in increasing order. -11, -1, 5, 22814 Sort -98, 320, -5, -2, -1, 3 in increasing order. -98, -5, -2, -1, 3, 320 Put 19, -2, -49, 2/3, 0.4 in increasing order. -49, -2, 0.4, 2/3, 19 Put 83/5, -3/4, 817 in descending order. 817, 83/5, -3/4 Sort 16, -178, -3, 5 in decreasing order. 16, 5, -3, -178 Sort 0.11, -5, -119, -0.4, -2, 0.1 in decreasing order. 0.11, 0.1, -0.4, -2, -5, -119 Put 21/32, -3/2, -0.094 in ascending order. -3/2, -0.094, 21/32 Sort -2, 2/3, -6, -87/2 in increasing order. -87/2, -6, -2, 2/3 Sort 0, 973/5, 0.6, 3, -2/11. -2/11, 0, 0.6, 3, 973/5 Put 2/3, 1, -0.03, -15.431 in increasing order. -15.431, -0.03, 2/3, 1 Put 10, -102, 5, 0, -3, 4 in descending order. 10, 5, 4, 0, -3, -102 Sort 2, 13, -241, 3, 0 in ascending order. -241, 0, 2, 3, 13 Put -1, -5, 3165 in increasing order. -5, -1, 3165 Put -1, 4, -17932, -2 in ascending order. -17932, -2, -1, 4 Put -4, -3, -15, 75 in increasing order. -15, -4, -3, 75 Put 178/3, 61, -2, 0.1, 0.2 in decreasing order. 61, 178/3, 0.2, 0.1, -2 Sort -0.46, -1, -2.2, 0.1 in ascending order. -2.2, -1, -0.46, 0.1 Put 7, -29, -5, -1, 14, 5 in descending order. 14, 7, 5, -1, -5, -29 Put -1/16, -8196, 0.2 in decreasing order. 0.2, -1/16, -8196 Put -309, -2/5, -0.6, 0.4 in decreasing order. 0.4, -2/5, -0.6, -309 Sort 3, 80, -141, 8, 5 in increasing order. -141, 3, 5, 8, 80 Put -664942, 3, 4 in increasing order. -664942, 3, 4 Put 2, 364, -1 in increasing order. -1, 2, 364 Put -0.5, -1, -30951, 0.2 in increasing order. -30951, -1, -0.5, 0.2 Sort 166, -3, -13, -11 in decreasing order. 166, -3, -11, -13 Sort -5, 2/1652591, 4. -5, 2/1652591, 4 Put 43867, 2, -4, -6 in ascending order. -6, -4, 2, 43867 Put -1359, 4, 5 in ascending order. -1359, 4, 5 Sort 2, 6, -2, -729, 1 in decreasing order. 6, 2, 1, -2, -729 Put 1/4, 0, 5, -30, -0.02 in descending order. 5, 1/4, 0, -0.02, -30 Sort -2, -9, 3, 1, -10 in decreasing order. 3, 1, -2, -9, -10 Put 3/5, 314, 0.4, 316 in decreasing order. 316, 314, 3/5, 0.4 Sort -14, -999, 4. -999, -14, 4 Put -2/7, 0.5, 6, 1/72 in decreasing order. 6, 0.5, 1/72, -2/7 Put -0.4, -2, 0, 0.3, 120, 57 in increasing order. -2, -0.4, 0, 0.3, 57, 120 Put -5, 1514, -4, 5, -2 in increasing order. -5, -4, -2, 5, 1514 Sort -3, -6, -55, -143, 3. -143, -55, -6, -3, 3 Sort 0, 15, -4, 2, 1315 in descending order. 1315, 15, 2, 0, -4 Sort -993, 16, 3, -0.3 in decreasing order. 16, 3, -0.3, -993 Sort 1/4, 2/9, -16, -0.2 in decreasing order. 1/4, 2/9, -0.2, -16 Put -5, -83, -23, -0.1, -4, 0 in increasing order. -83, -23, -5, -4, -0.1, 0 Sort -334, 138, 2. -334, 2, 138 Put -2, -102, 8, -4/9 in descending order. 8, -4/9, -2, -102 Put 0, -8156, -29 in decreasing order. 0, -29, -8156 Put 128, 0, 147 in descending order. 147, 128, 0 Sort -170, -2/11, 0.1, -2, -1/7, -8. -170, -8, -2, -2/11, -1/7, 0.1 Put -1/3, -7/14107, -0.1 in increasing order. -1/3, -0.1, -7/14107 Sort 6, -248, 191, 2 in descending order. 191, 6, 2, -248 Sort 21, 322, 25 in decreasing order. 322, 25, 21 Put 3, -2, -3, 363, -4, 5 in ascending order. -4, -3, -2, 3, 5, 363 Put 4204, 25, -1 in increasing order. -1, 25, 4204 Sort -4/3, 0.07, -0.1, -11, -0.5. -11, -4/3, -0.5, -0.1, 0.07 Sort -137, 0, -3627, 1 in increasing order. -3627, -137, 0, 1 Sort 177, -5, -516, -4. -516, -5, -4, 177 Put -3, 5, -86711 in decreasing order. 5, -3, -86711 Put 59, 1633, -5, 0 in decreasing order. 1633, 59, 0, -5 Sort -2/3, -5, 0.093, 3, 8, 3/4 in ascending order. -5, -2/3, 0.093, 3/4, 3, 8 Put -1, -82177, 3 in decreasing order. 3, -1, -82177 Sort 4, -349, 23, -5 in descending order. 23, 4, -5, -349 Sort 25, 495, -6. -6, 25, 495 Put -1, 8, -4, 18, -130 in descending order. 18, 8, -1, -4, -130 Sort -341, -12, -35 in ascending order. -341, -35, -12
{ "pile_set_name": "DM Mathematics" }
2). Is y(p) a composite number? False Let w = -516 + 1577. Is w a composite number? False Let n = -1255 + 5303. Suppose -3*g = -2*k - 3019, 9*k = -4*g + 6*k + n. Is g a composite number? False Let q = 0 - 120. Is (q/84)/((-2)/14) prime? False Let j(i) = 339*i. Let a be j(3). Suppose 0*o + 2*o + 5*r - 396 = 0, a = 5*o - r. Is o prime? False Let c = -1026 + 2368. Let i = c + -2360. Let q = -435 - i. Is q a prime number? False Let l(t) = -t**2 + 4*t + 5. Let w be l(5). Let f be 0 + (-4 + w)*-1. Suppose 108 = f*a - 32. Is a a prime number? False Suppose -3*f + 4232 = 2*k - 402, -4*k - 3068 = -2*f. Let c = f + -887. Is c a composite number? True Let v(t) = -488*t**3 - t**2. Let x = -105 + 104. Is v(x) composite? False Suppose 0*o - 25086 = -i - 3*o, -125430 = -5*i + 3*o. Is (-10)/(-65) + (-4)/((-104)/i) prime? False Suppose -5*b - 47 = 53. Let g = b + 22. Let n(x) = 163*x + 3. Is n(g) a prime number? False Let m be 144/78 + (-4)/(-26). Suppose m*u - 32 = -2*u. Let a(c) = -c**3 + 6*c**2 + 18*c - 9. Is a(u) prime? True Let q be (-12)/10*40/(-12). Suppose -12 - 1216 = -q*h. Is h composite? False Let i = 21 - 5. Suppose 5*z - i = z. Is (z/(-12))/(1/(-465)) a composite number? True Suppose 4*n + 1490 = 4458. Suppose 20 = 6*h - n. Is h composite? False Let b be 3/(-2)*128/(-6). Let u = 41 + b. Suppose -3*k = -4*a - u, 0 = -5*k - 2*a + 26 + 61. Is k prime? True Let y = 8 + -8. Suppose 4*i + n = 28, -3*i = -y*i - 4*n - 2. Is ((-89)/2)/(i/(-36)) composite? True Let i(q) = -q**3 + 10*q**2 - 5*q - 12. Let b be i(9). Let h = -18 + b. Is 29*(h + -2 + 3) a prime number? False Let f(q) = 51*q - 2. Let x be f(4). Let b = -53 + x. Is b prime? True Suppose 9*x - 22462 = -2*x. Suppose 824 = g - 3*t, -4*g + 5*t + x = -1289. Is g composite? False Let l = 5165 - 3654. Is l a prime number? True Let j(x) = 2*x**3 + 14*x**2 - 2*x - 10. Let o be j(-7). Suppose 3*k - 4979 = -o*f, k = -4*k - 3*f + 8291. Is k prime? True Let u = 6735 - 4374. Is u composite? True Let d be -3 - ((-860 - -4) + 1). Suppose -d - 728 = -4*r. Is r prime? False Let t = 4 - 2. Suppose t*v + 5*x = x + 160, -2*v + 174 = -3*x. Suppose 0 = -2*c - 2*c + v. Is c a prime number? False Let f(j) = -j + 6. Let k be f(3). Suppose 0*s + 2*s - 403 = -k*b, 4*b - 509 = 3*s. Is b a prime number? True Let x(b) be the first derivative of -b**4/8 - 7*b**3/3 + b**2/2 + 4. Let v(w) be the second derivative of x(w). Is v(-11) composite? False Let j(n) = 5*n**3 - 2*n**2 - 2*n - 10. Let v be j(9). Suppose -4*q = -5 - v. Is q prime? False Suppose -3*y = -100*z + 105*z - 42838, -5*y = -3*z - 71408. Is y a prime number? True Is 354/2*19 - (-34 + 38) a prime number? True Let h be ((-16)/3)/(10/(-15)). Suppose -h*g = -3*g - 305. Let w = g + -6. Is w prime? False Let l(a) = a - 9. Let u be l(14). Suppose -u*s - 4*m + 160 = -2*m, -4*m - 54 = -s. Is s a composite number? True Suppose -72*n + 356411 + 774061 = 0. Is n prime? False Suppose -s = 4*s - 2*u - 16773, -4*u - 16 = 0. Is s composite? True Let x be 35/21*(3 - 0). Suppose 0 = r + 3*u - x*u - 278, -586 = -2*r - 2*u. Is -3 + r + 1 + 1 composite? True Suppose 5*q - 125 = -3*i, -35 - 47 = -2*i - 4*q. Let t = 162 - i. Suppose 115 + t = 4*y. Is y a composite number? True Suppose -35 = 3*z + 2*l, 2 - 45 = 3*z + 4*l. Is (-317)/(2/(-8) - z/(-12)) a prime number? True Let z = -12 + 3. Let q = z - -13. Suppose q*d - 111 = 149. Is d a prime number? False Suppose 14*d = 12*d + 12. Suppose d*k = 63 + 1101. Is k prime? False Suppose -13*h - 17465 = -1095672. Is h composite? False Let z = 12624 + -8838. Suppose 181 - z = -5*p. Is p a prime number? False Let x be ((-224)/35)/(4/(-10)). Let l = x + -13. Is (32 + -1 - 0) + l a composite number? True Suppose -17*m = -56222 - 11047. Is m composite? True Let c(o) = 25*o**2 + 24*o + 88. Is c(-23) a prime number? False Suppose 0 = -0*m - m + 41. Let r(u) = 41 - u + 978*u**2 - m. Is r(1) a composite number? False Let s(w) = 23*w**2 + 3*w + 3. Let c(b) = -b**2 - b. Let f(a) = a**2 + 2*a - 1. Let m(o) = -2*c(o) - 3*f(o). Let g be m(-5). Is s(g) a composite number? False Let b = 13249 + -7760. Is b a prime number? False Suppose 3*h - 2 = 25. Suppose 0 = -3*k + 3*r + r - h, 0 = -k + 2*r - 5. Is ((-5)/15)/(k/(-165)) a prime number? False Let c be (-4)/(12/1425) + 2. Let n = 1270 + c. Is n a composite number? False Let u be 1/1 - (-6)/2. Let p be 61/(u + -8 + 5). Let r = 640 + p. Is r a composite number? False Let o(k) = -3*k + 13. Let w(s) = 6*s - 26. Let x(g) = 5*o(g) + 2*w(g). Let v(b) = -5*b**2 + 3*b. Let n be v(-1). Is x(n) composite? False Suppose 367 + 1262 = 9*x. Let h = x + -3. Is h prime? False Let r be -1 + (-1 - (-11180)/(-5)). Is r/9*3/(-2) a prime number? True Suppose i + b + 523 = 0, 3*i + 200 = -4*b - 1365. Let f = 2710 + i. Is f prime? False Let p(b) = b**2 + 6*b - 3. Let l be p(-7). Suppose -4*j = -l - 4. Suppose 102 = j*v - 236. Is v composite? True Let j(f) = -5*f + 8. Let s be j(-8). Let h = 68 - s. Suppose -3*l - 2*q + h = -47, -4*l = q - 96. Is l composite? True Let b = -241 - -782. Is b a composite number? False Let y = 7419 + -4672. Is y a composite number? True Is 2/(-13) + (-16081)/169*-1 a prime number? False Let y(k) = 2*k**2 - 5*k - 3. Let i be y(6). Let j = -57 + i. Is 6/(-9) + (-2694)/j a composite number? False Suppose -d + 4*w + 791 = -1174, -4*d + 4*w + 7884 = 0. Is d a composite number? False Let z(b) = 36*b**2 - 1. Let t(f) = 2*f - 1. Let x be t(2). Suppose -5 = 4*p + 3*g, -2 = -5*g + x*g. Is z(p) composite? True Let p = 5 - 8. Let m(r) = -4*r**3 - 2*r**2 + 4. Is m(p) a prime number? False Let l(o) = -9*o**3 + 4*o**2 - o + 6. Suppose -2*i - 3 - 1 = -4*z, 22 = i + 4*z. Let s be l(i). Let r = s + 2549. Is r prime? False Suppose -z + 2*n + 1462 + 485 = 0, -4*n = 4*z - 7800. Is z a prime number? True Suppose 0 = 2*j + 3*h + 1, 3*j - 2*j + h - 1 = 0. Is 4*j/(-16)*-3 composite? False Let p = 8059 + -5727. Suppose 276 = -4*x + p. Is x composite? True Suppose -c = -2 - 3. Let a(u) = -u**3 + 7*u**2 - 10*u. Let x be a(c). Suppose -5*o = 3*v - 522 - 1334, -4*o + 5*v + 1507 = x. Is o prime? True Let s = -1022 - -2213. Is s composite? True Let n(c) = 2*c + 14. Let h be n(-5). Suppose h*a = 2645 - 1081. Is a a prime number? False Let p = 7690 + 2055. Is p composite? True Suppose -26 - 414 = -8*u. Is u composite? True Let t(v) = -8*v**3 - 7*v**2 + 10*v - 7. Let g be t(9). Let m = g - -10251. Is m composite? True Suppose -w = -4*r - 16 - 25, -3*r - w = 29. Let b be (65/r)/((-1)/58). Is b + 3/((-3)/(-4)) a composite number? True Suppose -3*g + 2583 = -0*p + 2*p, -5*g + p = -4292. Is g a prime number? True Suppose 126*f = 139*f - 85111. Is f a composite number? False Let n(r) = r**2 - 3*r + 1. Let a = -22 + 24. Let w be n(a). Is (-1)/(w/(-85)*-1) prime? False Is (-14 - 106032)*2/(-4) a prime number? False Let k(v) be the first derivative of v**3 + 11*v**2 - 68*v - 44. Is k(21) prime? False Let b = 33 + -231. Let t = 109 - b. Is t composite? False Suppose -41*m = -36*m - 27155. Is m a prime number? True Let p = -27 + 29. Suppose -4*r + p*g = -276 - 248, -2*r - 3*g = -262. Is r composite? False Suppose 0 = 4*r - 4*p - p + 48, -2*r + p - 24 = 0. Is (3/r)/(2/(-88)) a composite number? False Suppose 13*s - 15*s + 1108 = 0. Is s a composite number? True Let g be 15/(-75) - (-2)/10. Is 286 + 5 + g + 4 a composite number? True Let p(s) = -s**3 + 11*s**2 + 14*s - 3. Let y be p(12). Suppose -y*u + 1921 = -20*u. Is u prime? False Let q = -14 + 16. Is 997/(1*q/2) composite? False Let q be 8/20 - 1428/(-5). Let o = q + -132. Suppose b - o = -b. Is b composite? True Is (-1236091)/(-1143) + 8/(-18) prime? False Is ((-20707)/(-2))/((-112)/(-224)) prime? True Let z = -62 - -79. Suppose z*x = 15*x + 1986. Is x a prime number? False Let h = 34 + -42. Is ((-4)/6 + 0)*22908/h a prime number? False Let s(x) = -25*x + 16. Let v be (-2 - -3)*21/(-3). Is s(v) a composite number? False Suppose -3*c + 4*c = 0. Suppose c = -0*j - 3*j + 3063. Suppose 0 = -3*q - 4*g + 1009, -5*q + 2*g + j = -2*q. Is q a prime number? False Let h(r) = 2*r**3 + 22*r**2 - r - 6. Let y(g) = g**3 + 11*g**2 - 3. Let p(c) = -4*h(c) + 9*y(c). Is p(-5) a prime number? True Let p(c) = 36*c**2 + 2*c - 3. Suppose -8*h + 30 = -2*h. Is p(h) composite? False Let b = -2220 + 5807. Is b a composit
{ "pile_set_name": "DM Mathematics" }
replacement from iqqppqe. 1/105 Three letters picked without replacement from {s: 2, b: 2, u: 1, c: 4, i: 3, w: 8}. What is prob of sequence wcb? 8/855 Calculate prob of sequence ko when two letters picked without replacement from dkok. 1/6 Four letters picked without replacement from voovgtgvv. Give prob of sequence vvoo. 1/126 Three letters picked without replacement from {k: 1, f: 1, q: 11}. What is prob of sequence qfk? 1/156 Calculate prob of sequence tj when two letters picked without replacement from nnjnntjjnntn. 1/22 Calculate prob of sequence au when two letters picked without replacement from uauveeuueaiauuieu. 21/272 Two letters picked without replacement from {f: 4, g: 1, u: 3, b: 1, e: 2}. What is prob of sequence eb? 1/55 Four letters picked without replacement from {r: 1, x: 5, o: 4}. Give prob of sequence orxo. 1/84 Two letters picked without replacement from {j: 3, l: 6, e: 1, r: 3, w: 3}. What is prob of sequence wj? 3/80 Two letters picked without replacement from {f: 2, n: 8, u: 2}. What is prob of sequence uf? 1/33 Two letters picked without replacement from {q: 13, d: 5}. Give prob of sequence qq. 26/51 Four letters picked without replacement from {f: 3, a: 1}. What is prob of sequence fffa? 1/4 Four letters picked without replacement from uuvnnnunvnnnunnn. What is prob of sequence vnnn? 3/91 Four letters picked without replacement from ullmull. What is prob of sequence lulu? 1/35 Four letters picked without replacement from {c: 6, r: 6}. What is prob of sequence ccrc? 2/33 Calculate prob of sequence ly when two letters picked without replacement from {y: 4, l: 1, t: 8}. 1/39 Two letters picked without replacement from {j: 2, k: 9}. Give prob of sequence kj. 9/55 Calculate prob of sequence iio when three letters picked without replacement from {i: 12, o: 7}. 154/969 Three letters picked without replacement from {o: 4, e: 1, c: 1, j: 2, d: 1}. What is prob of sequence jed? 1/252 Calculate prob of sequence vvv when three letters picked without replacement from vvvv. 1 Calculate prob of sequence cxu when three letters picked without replacement from ulcxs. 1/60 Two letters picked without replacement from {q: 1, v: 3, o: 3}. What is prob of sequence oq? 1/14 Four letters picked without replacement from {x: 7, u: 2}. What is prob of sequence xxxu? 5/36 Calculate prob of sequence pppc when four letters picked without replacement from ccpcippipiccciccc. 9/2380 Three letters picked without replacement from yliylyyilliy. Give prob of sequence yli. 1/22 Calculate prob of sequence zq when two letters picked without replacement from {a: 2, z: 5, i: 4, q: 4}. 2/21 Two letters picked without replacement from {r: 1, b: 2, i: 2, c: 1}. What is prob of sequence ii? 1/15 What is prob of sequence xxx when three letters picked without replacement from {c: 6, x: 4, w: 9}? 4/969 Four letters picked without replacement from {l: 11, b: 3}. Give prob of sequence lbbl. 5/182 Three letters picked without replacement from {h: 4, k: 3, b: 1, m: 3, t: 8}. Give prob of sequence mtb. 4/969 Two letters picked without replacement from nznubbwj. What is prob of sequence nb? 1/14 Two letters picked without replacement from {d: 1, q: 1, x: 1}. Give prob of sequence xd. 1/6 Three letters picked without replacement from {y: 2, b: 1, x: 2, g: 1, c: 2, k: 1}. Give prob of sequence gcc. 1/252 Calculate prob of sequence rjrr when four letters picked without replacement from rjrrrjrrrrjjrjjrrjjj. 99/1292 Calculate prob of sequence ppww when four letters picked without replacement from fbpbfwwbpb. 1/1260 Three letters picked without replacement from xqqbbxbqbqbbqmmbbbqb. What is prob of sequence xqb? 1/57 Four letters picked without replacement from {b: 6, z: 4}. Give prob of sequence zbbb. 2/21 Two letters picked without replacement from ajzmmajmmamm. What is prob of sequence am? 3/22 Two letters picked without replacement from {o: 5, k: 1, p: 3}. What is prob of sequence op? 5/24 Two letters picked without replacement from {k: 1, c: 6, z: 7}. Give prob of sequence cc. 15/91 What is prob of sequence hhx when three letters picked without replacement from {u: 2, e: 1, m: 5, c: 1, h: 5, x: 1}? 2/273 Two letters picked without replacement from rrffrfkfrkrrrrfrff. What is prob of sequence rk? 1/17 Two letters picked without replacement from jzjjwzjljzzwwzj. What is prob of sequence zl? 1/42 Two letters picked without replacement from {d: 2, h: 1, c: 1}. What is prob of sequence cd? 1/6 Calculate prob of sequence ie when two letters picked without replacement from {e: 4, m: 3, q: 2, i: 1, r: 4}. 2/91 Calculate prob of sequence fzz when three letters picked without replacement from {k: 4, f: 1, z: 2}. 1/105 Three letters picked without replacement from {j: 5, s: 2, z: 4, m: 1, r: 2}. What is prob of sequence mrj? 5/1092 What is prob of sequence pkh when three letters picked without replacement from kppchskhphrhcr? 1/91 Two letters picked without replacement from {g: 4, p: 3, e: 2, n: 1, c: 2}. What is prob of sequence ce? 1/33 Calculate prob of sequence sat when three letters picked without replacement from {t: 1, x: 8, a: 7, s: 1}. 7/4080 Four letters picked without replacement from zznzzzzznz. Give prob of sequence zznn. 1/45 What is prob of sequence hn when two letters picked without replacement from {n: 1, h: 2, t: 1, d: 5}? 1/36 Two letters picked without replacement from kbbwkbhbwp. Give prob of sequence kk. 1/45 Two letters picked without replacement from {w: 1, v: 2}. What is prob of sequence vv? 1/3 Three letters picked without replacement from {h: 1, j: 1, e: 3, q: 2, s: 1, u: 3}. Give prob of sequence hsu. 1/330 Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaa. 1 Calculate prob of sequence hh when two letters picked without replacement from hhh. 1 Calculate prob of sequence jjj when three letters picked without replacement from ccccjccxxxcj. 0 Calculate prob of sequence vnv when three letters picked without replacement from {r: 5, n: 5, v: 2}. 1/132 What is prob of sequence fgf when three letters picked without replacement from fffgggfgfgfffggf? 3/20 Two letters picked without replacement from {s: 1, y: 4, o: 7, c: 2}. Give prob of sequence oo. 3/13 Three letters picked without replacement from {e: 2, m: 1, z: 4, f: 4}. What is prob of sequence zez? 4/165 What is prob of sequence lll when three letters picked without replacement from lqllqllllqllllllll? 455/816 Two letters picked without replacement from {p: 1, i: 1, e: 1, m: 1, l: 1, x: 2}. Give prob of sequence ie. 1/42 What is prob of sequence uj when two letters picked without replacement from {u: 7, j: 1}? 1/8 Three letters picked without replacement from {c: 1, p: 3, i: 1, k: 1, j: 1}. Give prob of sequence jci. 1/210 Three letters picked without replacement from chhi. What is prob of sequence cih? 1/12 What is prob of sequence ja when two letters picked without replacement from {a: 1, j: 4, f: 1, i: 2}? 1/14 What is prob of sequence kkk when three letters picked without replacement from ckkkc? 1/10 Three letters picked without replacement from ggg. What is prob of sequence ggg? 1 What is prob of sequence vz when two letters picked without replacement from {f: 4, z: 3, v: 1}? 3/56 Two letters picked without replacement from jgjbgjgg. What is prob of sequence jb? 3/56 Two letters picked without replacement from erpnernrierrprrnrr. Give prob of sequence er. 3/34 Three letters picked without replacement from tdtbsdbtrbt. What is prob of sequence str? 2/495 Calculate prob of sequence au when two letters picked without replacement from jjuaaaacjjaajja. 1/30 What is prob of sequence pzm when three letters picked without replacement from {m: 6, p: 4, z: 3, r: 1}? 3/91 Three letters picked without replacement from {l: 1, t: 11}. What is prob of sequence ttl? 1/12 Four letters picked without replacement from xxsxsvsvssvvsxx. What is prob of sequence vxxs? 4/273 Two letters picked without replacement from alaallljxekjkelkkajj. Give prob of sequence kk. 3/95 Four letters picked without replacement from {j: 5, w: 11}. What is prob of sequence jwjw? 55/1092 What is prob of sequence fd when two letters picked without replacement from {a: 5, d: 1, t: 8, f: 2}? 1/120 Calcula
{ "pile_set_name": "DM Mathematics" }
f = -2*w - w. Is w prime? True Suppose -3*z + 431 = 4*o - 2*o, 2*o - 5*z = 471. Is o prime? True Is (22/33)/(4/1506) a composite number? False Let x = 1626 + -929. Is x composite? True Let f(o) = o - 7. Let t be f(11). Suppose -5*u - 9 = -t. Is 1284/30 - u/5 prime? True Suppose 4*q + 12 = 0, -4*f - q + 331 = -2*q. Suppose 3*x - 5*i = f, -x - 2*i + 4 = i. Is x a composite number? False Let r(o) = o - 4. Let b be r(2). Is 7*(1 - b) - -1 prime? False Let c = 215 - 398. Let o = c - -278. Is o composite? True Let y(u) = 6*u**3 - 2*u**2 + u - 2. Suppose 5*q - 10 = 2*h - h, 3*h = 15. Is y(q) composite? True Let o be (-76)/8 + 2/4. Let z(v) = v**2 + 22*v - 2. Let k be z(o). Let c = -80 - k. Is c prime? False Let j be ((-86)/(-4))/(1/8). Suppose 4*i - j = -0*i. Is i prime? True Suppose v - 1005 = -2*v. Is v composite? True Let r = 1322 - 444. Is r composite? True Let k(s) = 3*s + 10*s**3 - 46 - 3*s**3 + 45 - s**2. Is k(2) a prime number? False Let w(a) = 6*a**2 - 24*a + 61. Let q(n) = -n**2 + 5*n - 7 - 4 - 1. Let h(z) = -11*q(z) - 2*w(z). Is h(-7) composite? True Suppose 4*q = 5*w + 7872, -4*w + 8 = -2*w. Is q a composite number? False Let n be -5 + 4 - 3*-1. Suppose 2*x - 4*z = 12, x + 5*z + 12 = n*x. Suppose 5*h = 3*w + 63, -x*w + w = -3*h + 41. Is h prime? False Let v = 3 + 17. Suppose 3*z + 5 = v. Suppose -2*f + 3*c = -9, -z*c + 2 = -3. Is f prime? False Suppose 6*s - 3*s - 678 = 0. Is s a composite number? True Suppose 2*m = 7*m + 15. Let i(w) be the first derivative of w**3/3 + 3*w**2/2 + 4*w + 1. Is i(m) prime? False Let v(c) = 3*c**3 + 8 - 82*c**2 + 3 - 4*c**3 + 77*c**2 - c. Let p be 2/6 - 75/9. Is v(p) a prime number? True Let w(m) = -9*m + 4. Suppose 3*g + 40 = -g. Is w(g) a composite number? True Suppose 15 = 5*l - 8*a + 3*a, -6 = -2*l - 5*a. Suppose 4*f - 351 = -3*w, -l*f + 787 - 191 = 5*w. Is w a composite number? True Let d = -169 - -246. Is d composite? True Suppose 6 + 4 = 5*c. Suppose 172 = 5*h - 2*t - 59, 4*h = c*t + 186. Suppose 4*l - h = -z, z - 3 - 26 = 4*l. Is z a prime number? True Let v = 14 + -9. Suppose v*q - o + 35 = 0, -q + 13 = -4*o + 1. Let y(t) = -5*t + 6. Is y(q) composite? True Is -3273*(4 - (6 + -1)) - 2 a composite number? False Let d = 839 - 330. Is (-9)/6 - d/(-2) a prime number? False Let d(u) = 8*u + 1. Let v be d(9). Is v - (5 + (0 - 3)) composite? False Suppose n + 0*n + 5*h - 26 = 0, 4*n - 9 = -h. Let d be (n + -2 - -1) + 2. Suppose -5*t = -d*t - 285. Is t composite? True Let r be (-4)/(-14) - 971/(-7). Let w be ((-35)/(-3))/(4/24). Let d = r - w. Is d prime? False Let d(h) = 185*h + 10. Is d(11) a prime number? False Is 4/(-22) - 3075/(-33) composite? True Suppose 0 = -4*w + 8, -2*w = a + 3*w + 21. Let y = 4 - a. Is y a prime number? False Is ((-8)/12)/(-2)*2019 a prime number? True Let k = 459 + 1022. Is k a prime number? True Is 1/(-2) - 1761/(-6) a prime number? True Let a be 8/(-12) + (-578)/6. Let u = 210 + a. Suppose -5*s = -132 - u. Is s composite? True Suppose -45 = -8*l + 3*l. Let t be 2/(6/l - 0). Suppose -3*c + 7*i + 21 = 4*i, -5*c = -t*i - 27. Is c a prime number? True Suppose 0 = -4*o - 2*m + 7*m - 40, 4*m + 9 = -5*o. Let t(i) = -i**3 - 5*i**2 + i + 4. Let q be t(o). Let b(w) = -120*w**3 - 2*w**2 - w. Is b(q) composite? True Let c(w) = 908*w**3 - 2*w**2 + 3*w - 2. Is c(1) prime? True Let z = -3 + 5. Suppose -5*s = 15 + 10, 0 = z*m - s - 43. Is m prime? True Let x be (4 + (-2)/2)/(-1). Is (-2 - -3)/(x/(-69)) a composite number? False Let f be 0/1 + 0 + 886. Suppose -2*v + l + f = 0, 2*v = -4*l + 958 - 52. Is v a prime number? False Let x = 420 - -375. Suppose -2*j + x = 3*j. Is j a prime number? False Let s be ((-2)/3)/(2/(-15)). Suppose s*l - 134 = 671. Is l a prime number? False Let y(z) = -z + 53. Let s = 1 + -1. Is y(s) a prime number? True Suppose 5*p = -3 + 23. Suppose -8*v + p*v = -1876. Is v a composite number? True Suppose -9698 = q - 6*q + h, -15 = 5*h. Is q a composite number? True Let s = 1 - -2. Let v(b) = -3*b**2 + 2*b**3 - s*b - 3 - b - 4*b**3 + 0*b**2. Is v(-2) a composite number? True Let n be ((-46)/5)/(1/(-5)). Let u = n - -11. Let z = u - 20. Is z a composite number? False Let f(i) = 5*i**3 - i - 1. Is f(2) a composite number? False Let a = -761 - -2020. Is a composite? False Suppose -3*j - 3*f + 1404 = -522, -2*j + f = -1272. Suppose -j = -5*v + 757. Suppose -3*b + v = 2*g, -g + 185 = 2*b - 0*g. Is b a prime number? False Let i = 4511 + -2332. Is i prime? True Suppose -66 = -3*w - 2*h - 3*h, -4*w + 88 = -3*h. Suppose -d + 12 + w = 0. Is d composite? True Let v(a) = -2*a**2 + 5*a + 4. Suppose -20 = -4*j - 2*s, 0 = -4*s + 2*s. Let w be v(j). Let t = 10 - w. Is t composite? False Let g = 1 - 2. Is g/((-3)/(-636)*-2) a prime number? False Let i(p) = 7*p**3 - 3*p - 3. Let s be i(-2). Let j(z) = -z**3 - 9*z**2 - 4*z + 1. Let b be j(-8). Let w = b - s. Is w composite? True Is 18 + -19 - (0 + -90) prime? True Let w(x) = 5*x**2 - 8. Let o(a) = a + 1. Let n(z) = 6*o(z) + w(z). Is n(-5) a prime number? False Let y(c) = -12*c - 13. Let x be y(-6). Suppose -25 = -6*m + x. Is m prime? False Let x(g) = 5*g**2 + 2*g - 2. Is x(4) composite? True Let u(b) = 16*b**2 - 8*b - 4. Let o be u(-5). Suppose a = 5*a - o. Is a a composite number? False Suppose 0 = -0*t - 3*t + 4677. Is t composite? False Let t be -110*((-5)/(-2) - 3). Suppose -6*r + t = -5*r. Is r prime? False Let v be (-3)/(-2)*(-4)/3. Let p(f) = 3*f**2 + 2*f + 1 - f**2 + 5*f**2. Is p(v) a composite number? True Suppose 2*h = 5*q - 27, h + 8 + 0 = -3*q. Let i = -7 - h. Is ((-76)/(-16))/(1/i) prime? True Let y = -335 - -3598. Is y composite? True Suppose 13 + 128 = -3*s. Let c = s + 126. Is c a composite number? False Suppose 0 = -0*x + 8*x - 1688. Is x composite? False Let a(d) = -33*d - 17. Is a(-12) a composite number? False Let h(d) = 68*d - 3. Is h(3) composite? True Let o be 694/6 - (-2)/(-3). Suppose 3*m - o = -3*c + 125, 397 = 5*c + 4*m. Is c composite? True Let h = 8 + -89. Let i be (-1)/(-2) - h/(-6). Let j = i + 23. Is j a composite number? True Let h = 4 + -5. Is (3884/(-2))/(2*h) a composite number? False Suppose -3*k = -1 - 8. Let a(c) = 10*c**3 - 3*c**2 + 4. Is a(k) a composite number? True Suppose -5*z - 3223 = -4*j, 0*z = 5*j - 4*z - 4031. Is j a prime number? False Let u(k) be the second derivative of k**3/6 - k**2 + 2*k. Let z be u(4). Suppose 7*m - 4*m = -15, -73 = -z*a - 5*m. Is a a prime number? False Suppose 0 = -2*q + 4*q - 10. Let a be 20/(-15)*3/(-2). Suppose 44 = a*u + q*b - 57, 5*u - 4*b - 269 = 0. Is u a composite number? False Suppose y - h - 142 = 285, -3*y + 1279 = -2*h. Let q = -214 + y. Is q a composite number? False Suppose 23 = 3*u - 4*p, 5*p = -3*u + 2*p + 9. Suppose 2*w - 135 = -t - 0*w, -u*t + 3*w = -662. Is t composite? True Let y(w) = -2*w - 21 - 12*w + 13*w**2 + w**3 - 7*w. Is y(-14) a prime number? False Suppose 4*d = -6 + 22. Suppose -5*b = -2*o + 63, -2*b + 162 = 8*o - d*o. Is o a composite number? True Let r(o) = o**2 - 6*o + 2. Suppose 5*k - 8 - 22 = 0. Let y be r(k). Suppose -5*u = 3*f - 66 - 386, -y*f + 300 = 2*u. Is f prime? True Let c be -58*1*(-39)/6. Suppose -5*i + c = -n, -5*n - 348 = -4*i - 59. Suppose 2*r + 2*r = i. Is r a prime number? True Let k = -3 - -6. Suppose -2*g + 0*g = -k*o + 65, -2*o + g + 42 = 0. Is o composite? False Let q be (3 - 1) + (-2)/(-2). Let h(s) = -s**3 - s**2 - 2*s + 3. Let t be h(0). Suppose -3*b - 10 = -4*b - t*j, 4*b - q*j = 40. Is b a prime number? False Suppose 2*t = -2*g - 6, -t - 3*g - 2*g = 15. Suppose t = -3*a + 56 + 37. Is a prime? True Let a = 0 + 2. Suppose -a*o = -6*o - 228. Let g = -36 - o. Is g a prime number? False Let j(n) = 268*n. Let r(v) = -v. Let y(t) = j(t) + 201*r(t). Is y(1) a composite number? False Let g = 15 + -8. Let n(l) = -6*l**2 + 10*l + 7. Let f(h) = -17*h**2 + 29*h + 21. Let u(a) = -4*f(a) + 11*n(a). Is u(g) composite? True Let x(q) = -q**3 + 6*q**2 - 1. Suppose 0 = 2*v - 6*v + 16. Is x(v) a prime number? True Let y(q) = -q**3 - 9*q**2 - 10*q - 11. Let m be y(-8). Suppose 0 = -m*p - 4*x + 715, 0 = -0*p + 2*p - 4*x - 286. Is p prime? False Suppose -3*w - 2*v = 45 - 12, -4*v + 55 = -5*w. Let t = 37 - 13. Let q = t + w. Is q composite? False Let l be (-3)/((-30)/8)*-10. Let x = 19 + l. Is x a prime number? True Suppose -887 =
{ "pile_set_name": "DM Mathematics" }
1053)). -144*sqrt(13) Simplify 6*(sqrt(132)/(1*sqrt(12)) + sqrt(11) - (sqrt(44)*-2)/sqrt(4)). 24*sqrt(11) Simplify -2*sqrt(27)*3*-5*-4. -360*sqrt(3) Simplify 3 + (5 + -1*sqrt(1700) + 1)**2. -120*sqrt(17) + 1739 Simplify (sqrt(11) - -1*sqrt(99)) + sqrt(11) + sqrt(704)*-1. -3*sqrt(11) Simplify ((sqrt(45) + -4 - sqrt(5)) + (1 + sqrt(5))*-4)**2. 32*sqrt(5) + 84 Simplify (-3*sqrt(612)*-4)**2 + sqrt(612). 6*sqrt(17) + 88128 Simplify ((sqrt(117) - (1*sqrt(117) + sqrt(117)) - sqrt(117))/sqrt(9)*-2 + -3 + sqrt(13)*2 + 5*sqrt(208))**2. -156*sqrt(13) + 8797 Simplify (sqrt(242)*1 + -5)**2 + 5. -110*sqrt(2) + 272 Simplify (4*(0 + sqrt(363)))**2. 5808 Simplify (sqrt(208) + 4 - (0 + sqrt(13) + 0))**2. 24*sqrt(13) + 133 Simplify 5*(-1*(sqrt(4) - sqrt(12)/sqrt(3)))/(sqrt(2) + -2*sqrt(2)*2). 0 Simplify (-2*(-1 + sqrt(637)) - sqrt(637)) + -2. -21*sqrt(13) Simplify -2 + (-3*sqrt(19)*-2 + sqrt(19))**2. 929 Simplify (sqrt(50) + (-1*sqrt(450))/sqrt(9))**2*2. 0 Simplify sqrt(38)/(sqrt(2) + sqrt(24)/sqrt(192) + sqrt(2)). 4*sqrt(19)/9 Simplify 3*(sqrt(320) + (sqrt(320) - (-5 + sqrt(320) + (sqrt(320) - ((sqrt(320)*-2)**2 - sqrt(320)))))). -24*sqrt(5) + 3855 Simplify 1 + sqrt(539)*1 - sqrt(539). 1 Simplify 3*(sqrt(2057) - (-3*sqrt(2057))**2). -55539 + 33*sqrt(17) Simplify ((sqrt(4536)*2 - sqrt(4536))/sqrt(8))**2. 567 Simplify 5 + (((sqrt(108)/sqrt(2))/sqrt(6))/sqrt(3))**2. 8 Simplify ((-1*sqrt(448) + sqrt(448))*-5 + 4*-2*sqrt(252))**2. 16128 Simplify 5 + (sqrt(30) - (-1*sqrt(30) - sqrt(30)))/sqrt(6). 5 + 3*sqrt(5) Simplify ((sqrt(153)*-2*2 + sqrt(153))/sqrt(9) + (sqrt(153)/(sqrt(9)*-1) - (sqrt(17) - -3*sqrt(17)*1)))**2. 1088 Simplify 2 + sqrt(847)*-3. -33*sqrt(7) + 2 Simplify (sqrt(2057) - (sqrt(2057) + 1))**2 + 3. 4 Simplify (sqrt(150) - sqrt(150)*3 - sqrt(6))/sqrt(3). -11*sqrt(2) Simplify (0 + sqrt(13))*-1 - (sqrt(39)/sqrt(3) + 0) - ((sqrt(26)/sqrt(2) + -5)**2 + 3). -41 + 8*sqrt(13) Simplify (sqrt(17) - (sqrt(17) + (sqrt(17) - sqrt(153)*1)))**2 + 5*sqrt(833). 68 + 35*sqrt(17) Simplify (-2*sqrt(80)/sqrt(4) + sqrt(20))/(sqrt(90)*4 - sqrt(10)). -sqrt(2)/11 Simplify (3*sqrt(475) + sqrt(171)/(3*sqrt(9)))**2*6. 80408/3 Simplify 5 + (sqrt(1573) - (2*(sqrt(1573) + -1 + sqrt(1573))**2 + sqrt(1573))). -12581 + 88*sqrt(13) Simplify sqrt(1872) + sqrt(1872)*1 - sqrt(208)*-2. 32*sqrt(13) Simplify (-3 + -2*(sqrt(288) + 1))**2. 240*sqrt(2) + 1177 Simplify (sqrt(228) - 3*(sqrt(228) + sqrt(228) + (sqrt(228) - sqrt(228)*-1)))/(-1*sqrt(768) + sqrt(768) + sqrt(768))*-3. 33*sqrt(19)/8 Simplify (sqrt(17) + 3)*1 - (sqrt(612) + 2). -5*sqrt(17) + 1 Simplify (sqrt(64) + (sqrt(64) + 1*sqrt(64)*-4 - sqrt(64)))/sqrt(8). -6*sqrt(2) Simplify 2*(sqrt(99) + 0). 6*sqrt(11) Simplify (-2 + sqrt(448) + -3)**2. -80*sqrt(7) + 473 Simplify sqrt(17) + ((sqrt(204)*-1)/sqrt(12))**2 + (sqrt(136)/sqrt(8) + -4)**2. -7*sqrt(17) + 50 Simplify 6*1*sqrt(288) + sqrt(288)*1*-1. 60*sqrt(2) Simplify (sqrt(833) + -1)*-5. -35*sqrt(17) + 5 Simplify -5*((sqrt(16)/sqrt(2))/sqrt(2))/sqrt(2). -5*sqrt(2) Simplify (sqrt(108) + (0 + sqrt(108))*6)**2. 5292 Simplify 1 + sqrt(171) - (sqrt(2299) + 3). -8*sqrt(19) - 2 Simplify sqrt(264)/(sqrt(120)/sqrt(5)). sqrt(11) Simplify -4*(5 + sqrt(112)). -16*sqrt(7) - 20 Simplify (((-3*sqrt(84)*3 - sqrt(84)) + sqrt(84))/(sqrt(36)/sqrt(3)*-4 + sqrt(12) - sqrt(12)))**2. 567/16 Simplify -5 + (0 + sqrt(252) - sqrt(252)) + sqrt(252). -5 + 6*sqrt(7) Simplify 1*sqrt(833) + -1 + ((sqrt(272) - (sqrt(272)*1 - sqrt(272)) - sqrt(272))*-3)**2. -1 + 7*sqrt(17) Simplify 6*(sqrt(11) + (sqrt(33)/sqrt(3))**2) + -5. 6*sqrt(11) + 61 Simplify 6*((-1*sqrt(500))**2 + 5 - sqrt(500))*4. -240*sqrt(5) + 12120 Simplify sqrt(27)/sqrt(81) - (sqrt(12)*2 - sqrt(12)). -5*sqrt(3)/3 Simplify (sqrt(20) + (sqrt(20) - (sqrt(80)*-2 + sqrt(80))))/((sqrt(72)/sqrt(2))/sqrt(9)). 4*sqrt(5) Simplify ((sqrt(252) + 1)*-4 - (sqrt(252) - 2*(sqrt(252) + 0)))**2. 144*sqrt(7) + 2284 Simplify (sqrt(119) + (((-1*sqrt(119) - sqrt(119)) + sqrt(119))*-5 - sqrt(119)))/(sqrt(21)/sqrt(3)*5). sqrt(17) Simplify -6*(sqrt(5) + -2)**2 + -2 + sqrt(5) + -2. -58 + 25*sqrt(5) Simplify (sqrt(128)*1 + 4)**2. 64*sqrt(2) + 144 Simplify sqrt(128) + 0 + -4 + sqrt(128). -4 + 16*sqrt(2) Simplify (-6*(sqrt(120)/sqrt(128))/(sqrt(25)/sqrt(20)))**2. 27 Simplify ((1*sqrt(484) + sqrt(484))/sqrt(11))/(sqrt(196) + 1*sqrt(196)). sqrt(11)/7 Simplify (2 + sqrt(25)/sqrt(5))**2*2. 8*sqrt(5) + 18 Simplify ((-6*(sqrt(54)/sqrt(3) - sqrt(18)))/sqrt(6))**2. 0 Simplify sqrt(22)/(sqrt(8) + sqrt(200)). sqrt(11)/12 Simplify (sqrt(3) - sqrt(27)*-6) + sqrt(363) + sqrt(363) + 2. 2 + 41*sqrt(3) Simplify (sqrt(425)*-1)**2 + sqrt(85)/(sqrt(30)/sqrt(6)) + 5. sqrt(17) + 430 Simplify (-6*1*sqrt(104))/(-2*sqrt(200) + sqrt(8))*-6. -4*sqrt(13) Simplify -2 + sqrt(2) + 5 + 1. sqrt(2) + 4 Simplify -1 + sqrt(21)/sqrt(7) - (3 + (-2 + sqrt(3))**2). -11 + 5*sqrt(3) Simplify 5 + (sqrt(304) - sqrt(19))*5 - (1*(sqrt(19) - sqrt(228)/(sqrt(12)*-1)))**2. -71 + 15*sqrt(19) Simplify 2*(4*sqrt(300) - sqrt(300))**2*4. 21600 Simplify -3*(1*sqrt(405))**2. -1215 Simplify sqrt(19)*-2 + 3 - (sqrt(76)/sqrt(2))/sqrt(2). -3*sqrt(19) + 3 Simplify 6*(5 + 1*sqrt(11)*-5). -30*sqrt(11) + 30 Simplify sqrt(2)*-2*-2 + 2*sqrt(2) + 5. 5 + 6*sqrt(2) Simplify -2 + (sqrt(17) - (sqrt(170)/(sqrt(90) + sqrt(10) - sqrt(10)))**2) + sqrt(17). -35/9 + 2*sqrt(17) Simplify 1*(sqrt(11)*2)**2*1. 44 Simplify ((2*sqrt(25)*-3)/(-3*sqrt(80)))**2. 5/4 Simplify 6*sqrt(1125)*1. 90*sqrt(5) Simplify (sqrt(1053) - (1 + sqrt(1053)) - (-2 + sqrt(468)))**2. -12*sqrt(13) + 469 Simplify ((-2*sqrt(78) - sqrt(78) - sqrt(78))*-3)/(sqrt(42)/sqrt(175) - sqrt(6)). -15*sqrt(13) Simplify (((sqrt(1216)*-2 - sqrt(1216)) + 3 - (3 + -2*sqrt(1216))) + 2)**2. -32*sqrt(19) + 1220 Simplify -2*(sqrt(32)/sqrt(4) + sqrt(8))/sqrt(4) - 3*(sqrt(2) + 3*(sqrt(2) + sqrt(32))). -52*sqrt(2) Simplify sqrt(56)/(1*sqrt(32) - sqrt(32) - sqrt(8)). -sqrt(7) Simplify (sqrt(240)/sqrt(8))/sqrt(6) + sqrt(405) + 0. 10*sqrt(5) Simplify -5 + -6*(1*sqrt(13))**2 + sqrt(13). -83 + sqrt(13) Simplify -5 + (((sqrt(14) - -1*sqrt(14))*6)/(sqrt(126)/sqrt(2) + sqrt(7)))**2. 13 Simplify (-3*(2 + sqrt(147)*1 + -4))**2. -252*sqrt(3) + 1359 Simplify -2 + (1*sqrt(192))**2*-6. -1154 Simplify -6*(sqrt(2) + (2*sqrt(18))**2). -432 - 6*sqrt(2) Simplify 3*(sqrt(50) + 3). 9 + 15*sqrt(2) Simplify -2*sqrt(343)*-5. 70*sqrt(7) Simplify (1*(-5 + sqrt(80) + sqrt(80) + 3))**2. -32*sqrt(5) + 324 Simplify (sqrt(1539) + (sqrt(1539) - (-1*sqrt(1539)*-1 - sqrt(1539))) + sqrt(1539) + 2*sqrt(1539)*4)**2. 186219 Simplify 6*sqrt(425)*-6. -180*sqrt(17) Simplify 2 + ((-1*sqrt(117))**2 - (sqrt(13) + sqrt(13) + sqrt(39)/sqrt(3)*-5)). 3*sqrt(13) + 119 Simplify (sqrt(2057) + 2 + sqrt(2057))**2*-6. -49392 - 528*sqrt(17) Simplify (-2*sqrt(8) - sqrt(8)) + -5. -6*sqrt(2) - 5 Simplify -3 + ((sqrt(272)*-2 - sqrt(272)) + sqrt(272))**2 + sqrt(272). 4*sqrt(17) + 1085 Simplify -5 + (6*(sqrt(27) + 1))**2. 216*sqrt(3) + 1003 Simplify 4 + (sqrt(192) + (sqrt(192) + 1)*-4 - sqrt(192))**2. 256*sqrt(3) + 3092 Simplify sqrt(18)/(sqrt(42)/sqrt(7)) - (1 + (sqrt(3) - (sqrt(3) + -4)))**2. -25 + sqrt(3) Simplify (-4 + (sqrt(26)/(1*sqrt(2)) - sqrt(13)))**2 + -1. 15 Simplify (sqrt(99))**2 + -3 + sqrt(1584)*2. 24*sqrt(11) + 96 Simplify (sqrt(605) + (sqrt(605) - (-1 + sqrt(605))) + 5 + sqrt(605) + -3)**2. 132*sqrt(5) + 2429 Simplify (sqrt(8) + 1 + 4)**2 - (0 + sqrt(2178)). -13*sqrt(2) + 33 Simplify (sqrt(15)/sqrt(80))**2 - (sqrt(300) + 0). -10*sqrt(3) + 3/16 Simplify -1*-5*(sqrt(684) + 1 - sqrt(19))*-4. -100*sqrt(19) - 20 Simplify (-1 + sqrt(7)*-1)*-4. 4 + 4*sqrt(7) Simplify sqrt(14)/((sqrt(196)/sqrt(4))/sqrt(7) + sqrt(7)). sqrt(2)/2 Simplify (sqrt(15) - (sqrt(75)/sqrt(5) + sqrt(15)))/sqrt(3) + (sqrt(80) + 0)**2. -sqrt(5) + 80 Simplify (-5*sqrt(52) - sqrt(13)) + sqrt(26)/sqrt(32). -43*sqrt(13)/4 Simplify (sqrt(3) - (sqrt(12) + sqrt(300)))**2*2. 726 Simplify 1 + sqrt(13) + sqrt(52)/sqrt(4) + (sqrt(13)*-1)**2*-6 + sqrt(13). -77 + 3*sqrt(13) Simplify 2 + ((-1*sqrt(52))/sqrt(4) - 1*sqrt(52))**2. 119 Simplify -3*(sqrt(320) + sqrt(320)*-2). 24*sqrt(5) Simplify 1 + (-3*(sqrt(17) - sqrt(17)*-2) - sqrt(17)*2*-5) + -4. -3 + sqrt(17) Simplify sqrt(70)/((sqrt(70)*2)/sqrt(7)). sqrt(7)/2 Simplify (sqrt(8))**2 + 0 - (-3 + -1*sqrt(2)). sqrt(2) + 11 Simplify ((sqrt(425) + 1)**2 - sqrt(425)
{ "pile_set_name": "DM Mathematics" }
se -2*d + 8 = 5*x, -2*x - 5*d = x - 1. Let v(b) = -b**3 + 4*b**2 - 3*b + 3. Let u be v(x). Solve -18 - 4 = -2*w - u*t, -4*t = -3*w - 13 for w. 1 Let d = -4 - -3. Let w be (0 - d)*(2 - 2). Suppose 4*z - 44 = y, -3*z - z + 3*y + 52 = 0. Solve 0 = -u + 3*u + g + 10, w = -5*g - z for u. -4 Let t be (0 + 2)*15/6. Suppose 4*x = -3*v + 2*v - 11, -v = -3*x - 17. Solve 2*j = 3*j - 4*s + 15, v*j = t*s for j. 5 Let o(d) be the first derivative of -3*d**2/2 - 4*d - 1. Let a be o(-3). Let m be 5*(2 - (0 - -1)). Solve -a*h = 5*c + 15, -h + m*c + 15 = h for h. 0 Let f be 9 + -12 + (-1 - -4). Suppose f*k = -5*k + 10. Solve 2*y - u + k*u - 15 = 0, -y + 10 = u for y. 5 Let z be (5/10)/((3/24)/1). Solve -5*y + 5*l - 10 = 0, 5*y - z*l - 26 = -8*l for y. 2 Suppose 0 = n + 2*m, 5*n = -m - 4*m + 10. Solve -3*l = -3*i + 4*i - 11, 5*i = n*l - 2 for l. 3 Suppose -5*r = h - 25, -4 - 11 = h - 5*r. Suppose 0 = -5*l + 2*u + 91 + 33, -h*u = -5*l + 130. Solve 5*m - k = -0*k - l, 0 = 3*k - 12 for m. -4 Let v = -3 - -5. Suppose -2*f + 26 = 3*f + 3*d, v*f - 2*d - 4 = 0. Solve o - 4 = -f*h, -5*h = -4*o + 6 + 10 for h. 0 Let r = 0 - -2. Solve -o = -3*s - 1 - 4, 0 = -2*o - 2*s + r for o. 2 Let s = 24 - 13. Suppose 3*m - 5*r + 2*r = -12, 3*r = 4*m + s. Solve 0 = -3*y + 5*w - 25, -7 + m = -3*w for y. -5 Let i(f) = -3*f**3 - 2*f**2 + 2. Let m be i(-2). Solve -2*n - 3*c + 2 + m = 0, 0 = 4*n - 2*c - 8 for n. 4 Let r be 9/(-36) + (-9)/(-4). Solve 4*z + 12 = -0*z - x, -r*z + 8 = 4*x for z. -4 Let y = 6 + -6. Suppose -3*m + y*z - z = -13, -m - 2*z + 6 = 0. Solve k + m*w + 22 = 2*k, -17 = 4*k + 5*w for k. 2 Suppose 5*n + 36 = 2*n. Let l = 4 + n. Let d be 57/12 - 2/l. Solve 2*s + 2 = -u - 6, -d*u + 3*s + 25 = 0 for u. 2 Suppose -5*k - 229 = -249. Solve 2*s + 4 = -t - 0, -s - 2 = -k*t for s. -2 Let k be -2 - (25*-2)/(-2). Let h = -22 - k. Solve -d - 3*q = 2*d - 3, h*q = 4*d - 31 for d. 4 Let f(x) = 2*x - 3. Let i(b) = 3*b - 5. Let w(q) = -5*f(q) + 3*i(q). Let j be w(-3). Solve 3*l = 6*l + j, l = 5*n - 1 for n. 0 Let z be -2 - (0 + -1 + -4). Solve 2*y = -2*o - z - 5, 10 = 5*o - y for o. 1 Let f = 100 - 100. Solve -3*w + o + 3 = f, 5*w + 2*o - o - 13 = 0 for w. 2 Suppose 5 = x + 2. Let c(s) = -5*s**3 - 2*s**2 + 1. Let h be c(-1). Solve 5*k - 4*m = -5, h*k - 3*m + x = -0 for k. 3 Let k = 74 - 73. Solve -x = g - 6*x + k, 3*x - 23 = -5*g for g. 4 Let w(j) be the second derivative of 1/12*j**4 + 0 + j**2 - j + 1/2*j**3. Let v be w(-2). Solve -2*m - n + 9 = v, -5*m = -3*n + 4*n - 15 for m. 2 Let h = -3 - 5. Let z = h - -15. Solve 4 = -4*v + 24, -z = 4*d + v for d. -3 Let j = -8 - -2. Let p be j/21*2*-7. Solve -12 = 4*f + c + p, -5*f - 3*c = 20 for f. -4 Suppose -2*h + 4*h + 22 = 4*k, k + 2*h - 8 = 0. Suppose -3*d + k*d - 12 = 0. Solve -4*f - f + d*z = -15, 29 = -4*f - 5*z for f. -1 Let i = 7 - 6. Let q be i*16*4/4. Solve 0 = -4*j - 4*o - q, j + 5*o + 14 = -6 for j. 0 Let c = 21 + -12. Let m = c - 8. Let y(l) = 4*l**2. Let q be y(m). Solve q*i - 4*n = 4, 4*i + 4*n = 3*i - 19 for i. -3 Let u be 57/12 + (-1)/(-4). Suppose u*f + 5 = 5*p, p - f = -4*f + 13. Suppose p*c - 12 = 3*c. Solve -k = k - 2*t - 4, -k = -3*t - c for k. -3 Suppose -46 = -5*p - 11. Solve -j = -3*m + p, m + j - 9 = -4*m for m. 2 Let i be 20/(-2)*16/(-8). Let g be 2/(16/i)*2. Solve -n + s = -s - 1, -4*s - g = -5*n for n. 1 Suppose a + 2 + 4 = 0. Let i = a - -9. Let s = 2 + i. Solve s*f - 30 = -5*r, -5*r - 4*f = -25 - 4 for r. 5 Let o(j) = j**2 - 5*j - 10. Let s be o(7). Solve -4*v + s*g = -g, -5*g + 5 = -5*v for v. -5 Let y = 157 + -157. Solve 3*o + y + 9 = 0, -4*o = 4*v + 16 for v. -1 Suppose 2*f - 20 = 4*w, -4*f - w = -2*f + 5. Solve -2*r = -3*p + 4, f*r = -2*r - 5*p + 28 for r. 4 Let s = -10 - -10. Suppose 2*n - n = 35. Suppose -n = -7*r + 2*r - 4*c, 25 = 5*c. Solve 9 = -r*d - 3*i, -d + s = 5*i - 1 for d. -4 Let b(d) = 14*d - 15. Let x(a) = 5*a - 5. Let u(v) = 4*b(v) - 11*x(v). Let n be u(7). Solve y = j + n*y - 4, 3*y = 3*j + 18 for j. -1 Let j(u) = u + 19. Let g be j(-13). Let i be ((-1)/g)/((-5)/30). Solve t = w - i, 0 = -0*w - 3*w - 4*t + 24 for w. 4 Suppose -2*n = 2, -f - n - 4 = 4*n. Solve -v = -f, -h + 3*v - 8 = -2*h for h. 5 Let i(f) = f + 1. Let s be i(0). Let p = -3 + s. Let z be (10/(-6))/(p/6). Solve 30 = -5*q - z*o, -q - o - 10 = q for q. -4 Let p = -16 + 10. Let v be (-32)/(-7) + p/(-14). Solve -4 = 2*y - 2*d, 2*y - v*d = -1 + 3 for y. -4 Suppose -2*x + 8 = 4*y, 0*x = x + 2. Solve 0*g + 9 = y*i + 2*g, -2 = -5*i + g for i. 1 Let w be 0*(-1)/(-3) + 4. Suppose w*f + 243 = 3*m + 34, 0 = 5*m + 4*f - 391. Suppose -2*i + m = i. Solve -3*c + 0*c - 5*r = 15, 3*r = -5*c - i for c. -5 Let o be (15/(-20))/(1/36). Let f = o - -31. Let a = 6 - 4. Solve 4*i - t + 0*t = 1, -a*i + 4 = -f*t for i. 0 Let o = -5 - -19. Suppose -5*w + 1 = -o. Let p = 1 + 2. Solve p = -g + 2*g + 5*h, 2*g - w*h - 6 = 0 for g. 3 Suppose 0 = -3*l - 0*l. Solve l*a = a + 4*r + 12, -2*a = 3*r + 14 for a. -4 Suppose 0*f + 250 = -5*f. Let w be f*1/(-2)*1. Let d(v) = -v + 6. Let p be d(4). Solve -4*n - 10 = -p*z, -w = 4*n - 0*z + z for n. -5 Let y = -3 - -5. Let u be -2*y/8*-28. Let b(r) = r**2 + 7*r + 5. Let i be b(-7). Solve i = -3*p + 4*p - g, -4*p + g = -u for p. 3 Suppose -285 = 2*a - 7*a. Let g be 4*2*a/24. Solve p = 3*h - g, -h = -2*p - 2*h - 3 for p. -4 Let p(r) = r**3 + 4*r**2 + r. Let i be p(-2). Let b = -5 + i. Solve b = -o + u, -u = 4*o + 10 - 31 for o. 4 Let n be 1 + -3 + 1 + 3. Let t = 6 + n. Solve -19 = 4*x - a, -t + 1 = -2*x - 5*a for x. -4 Let n = -5 + 5. Suppose 0 = 2*l - 1 - 5. Let b = l - n. Solve a + 2*a + b*j + 15 = 0, -4*j - 4 = 0 for a. -4 Suppose 0 = 2*b + 10, 0*n - 4*b - 8 = 4*n. Let r = n - 1. Suppose -4*d - y + 8 = 0, 2*d - r*y = -2*d + 20. Solve 3 = 3*f - 3, d*j = -2*f - 11 for j. -5 Suppose -c = 4*v + 2*c, 5*v = 5*c + 35. Solve -s - s + 5*q - v = 0, -3*s - 7 = -5*q for s. -4 Suppose 12*z + 15 = 17*z. Solve -4*d + 0*t - t + 18 = 0, -z*t + 14 = 2*d for d. 4 Suppose 5*c + 3*z - 30 = -0*z, 0 = z - 5. Solve 5*v - 4*b - 2 = -0*b, 2*v - c*b = 5 for v. -2 Let i(z) = z**3 - 5*z**2 - 6*z + 9. Let c be i(6). Let s be (c/3)/(3/10). Suppose 0 = 3*r - 8*r + s. Solve -f - r*f - 15 = 3*t, -4*t + f = 20 for t. -5 Let n be (-3)/(18/(-4))*6. Suppose -2*h = -3*a + 14, 5*a - 7 = n*a + 3*h. Solve a*d - 2 = -4*w + 6*d, 0 = -3*d - 3 for w. 0 Let x be ((-3)/2)/((-9)/12). Solve 3*w = -2*g - x*w - 25, -4*g - 5*w = 35 for g. -5 Let c(v) = -3*v - 21. Let w be c(-7). Solve l = -u - 2, -5*l - 3*u - 8 = -w*u for l. -1 Let i be (-4)/10 - (-16)/40. Solve -5*o = -k - i*o - 5, -5*o + 25 = -5*k for k. -5 Let d(z) be the second derivative of -z**5/20 - 2*z**4/3 - z**3/6 - 2*z**2 + 3*z. Let q be d(-8). Solve -r = 1 - q, 22 = 5*j - r for j. 5 Let q = 63 + -60. Solve h = -5*i - 25, q*h + 11 = -4 for i. -4 Let h(r) = -r - 9. Let n be h(-6). Let m be (-3)/(n/(-15)*-1). Suppose 0 = -q - 4*q + m. Solve 3*l - 20 = a + q*a, 4*a - 2*l = -16 for a. -2 Let q(a) = -5 + 0 - a - 2 - 1. Let z be q(-10). Solve -2*b + z*k + 8 = 0, -k = 4*b + k + 14 for b. -1 Let h(z) = -z**2 - 5*z + 3. Suppose 9 = 2*m + 2*w - 3, 4*m + 2*w = 14. Let p be -2 + (m - 5 - -1). Let b be h(p). Solve -k + 5 = 0, 2*i + 2*i - 1 = b*k for i. 4 Suppose 2*p + 21 = 3*b, p - 28 = 2*p - 5*b. Let z = 1 - p. Solve 5*r - 2*u = 8*r + 7, -z*u + 16 = 0 for r. -5 Suppose -4*t - 1 = l - 24, 5*l = -4*t + 35. Let j = l - 1. Let o = 14 - 12. Solve 2 = o*i - 0, 0 = -2*q - j*i for q. -1 Let s(r) = r - 2. Let q be s(6). Let i be (-2)/6 - 10/(-3). Let a be 0 + 0 + 0 + i. Solve k + 3*n = 5, a*k - 3 - 2 = -q*n for k. -1 Let q(g) = 2*g + 10. Let j be q(-5). Suppose 4*w - 3 = d, -3 = 2*w + d - 0. Let l be (j/(-1))/(w + -2). Solve 0 = x - y + 1 + 2, -y + 5 = l for x. 2 Suppose 4*q - 22 + 2 = 0. Suppose -4*o - 2*w = -50, 3*o - 4*w - 38 = -5*w. Solve -2*p + o = -3*g, 8 = 3*p - q*g - 12 for p. 5 Suppose -8*w + 24 = -0*w. Solve 4*a - c = -w*c - 8, c + 13 = -5*a for a. -3 Let x = 41 - 38. Solve -2*h = p + 6, -x*p = 2*p + 5*h + 25 for p. -4 Let g(i) = -i - 2. Let f be g(2). Let a = f + 4. Solve s + 6*m + 18 = 3*m, 5*s - m + 10 = a for s. -3 Let t be 1/2 - (-21)/6. Solve 26 = -2*y + 4*n, 3*n + n = -t*y - 4 for y. -5 Suppose 4 = -o - 3*f, 0*o - 3*f = 3*o + 6. Let z be 3 + (-3 - 2/o). Solve -b - 2 = -j, -j = -z*b - 0*b + 1 for j. 5 Let i be (-2)/
{ "pile_set_name": "DM Mathematics" }
8 Multiply -0.018 and -2.5. 0.045 -6 * -175 1050 0.3 times -234 -70.2 Multiply -0.4 and -352.6. 141.04 Multiply 86 and 1. 86 -1.1 * -1 1.1 0.029 * -307 -8.903 Work out 558.04 * 4. 2232.16 Product of -0.2 and 0.854. -0.1708 Work out -1 * -27.9. 27.9 Product of 0.17 and 61. 10.37 What is the product of 1868 and -0.5? -934 Calculate -0.4*17.4. -6.96 Multiply 5.4 and -0.32. -1.728 What is the product of -0.2 and -14? 2.8 Work out 0.2 * 0.01. 0.002 Multiply 0.062 and -0.2. -0.0124 Product of 0.6 and -473. -283.8 -1033*0 0 Multiply -1.0398 and -5. 5.199 Product of 5 and 0. 0 Product of -2 and -374. 748 Product of -431 and -2. 862 -7.8 times -0.5 3.9 What is the product of 10 and -0.11? -1.1 Calculate -0.06*18. -1.08 Product of 33 and -11. -363 2.94*3 8.82 Calculate -13*-171. 2223 4.61*-1 -4.61 0.0029 * 0.2 0.00058 Calculate -5457*0.3. -1637.1 What is the product of -8 and 18? -144 1547 * 0.4 618.8 What is 0.2 times 655? 131 7 times 156 1092 Calculate -3*33. -99 -107 times -1 107 What is 5 times 0.0333? 0.1665 Calculate -44*27.8. -1223.2 2 times -0.439 -0.878 0.4 * -182 -72.8 6 times -116.5 -699 0.88 times 6 5.28 Multiply -0.3 and -0.1061. 0.03183 Calculate 0.5*0.0123. 0.00615 Multiply -344 and -2. 688 What is the product of -0.4 and -17.2? 6.88 What is the product of -0.32 and -0.2? 0.064 What is the product of -238 and 0.13? -30.94 What is the product of -5 and -1108? 5540 Work out -1 * 0.2. -0.2 Multiply -5 and -1. 5 -0.3 * -9.52 2.856 -607 * -0.5 303.5 What is the product of 3.453 and -2? -6.906 Calculate -1*6.78. -6.78 -2 times 0.0217 -0.0434 Work out -0.02 * 1. -0.02 Multiply -0.08 and -0.37. 0.0296 Multiply 120 and -0.5. -60 Work out 8 * -183. -1464 Multiply 0.4 and 6. 2.4 Multiply 199 and 0.11. 21.89 Multiply -1.23 and 1.4. -1.722 Calculate 0.1*3104. 310.4 Multiply -7 and 1.758. -12.306 Multiply 1 and -1828. -1828 1544*-4 -6176 0.0048 times 0 0 What is 0.06 times -28? -1.68 Work out -0.5 * 26. -13 0.62 times 35 21.7 What is -94 times 3.6? -338.4 What is the product of 146 and -5? -730 Calculate 73*-0.048. -3.504 What is -16 times 2? -32 -99*2 -198 Calculate 0.34*-0.138. -0.04692 46 times -1.5 -69 Work out 19.7 * -27. -531.9 6 times -86 -516 0.088 times 15 1.32 Calculate 0.4*-3.866. -1.5464 What is the product of 0.07 and -29.6? -2.072 -7.06 times -0.2 1.412 Work out 1.38 * -31. -42.78 Work out 3.23 * -5. -16.15 What is 13 times -120? -1560 Multiply -2 and -0.0714. 0.1428 What is the product of 227 and 0.4? 90.8 -1.2 times -2 2.4 Work out -1903 * 3. -5709 Multiply -1338 and 0.03. -40.14 17 times -0.4 -6.8 Product of -0.606 and -2. 1.212 Product of 5 and 58. 290 Calculate 0.11*2.9. 0.319 Work out -38 * -0.1. 3.8 2.9 * -0.04 -0.116 Calculate 0.4*0.53. 0.212 48 * 0 0 1*56 56 Product of -124 and 9. -1116 -0.04518 times -0.5 0.02259 Work out -54578 * -1. 54578 0.0559*20 1.118 Calculate 0.025*-2.3. -0.0575 58 times 0.2 11.6 What is the product of 0.3 and 1.8? 0.54 Multiply -0.3 and 0.8. -0.24 Calculate 17.9*-0.02. -0.358 -3*-0.1648 0.4944 Product of -0.85 and 3. -2.55 -5 * -49 245 What is the product of -1967 and 0.4? -786.8 Work out 0.2 * 11. 2.2 Work out -6.8 * 1. -6.8 Multiply -28 and -0.03. 0.84 What is 1.3 times 1.75? 2.275 Calculate -1*1042. -1042 Work out -1 * -0.145. 0.145 Work out 8.99 * 0.2. 1.798 Calculate 641*-30. -19230 Multiply -0.2 and -71. 14.2 Work out 3.2 * 0.036. 0.1152 Calculate 0.5*-0.49. -0.245 -0.2*850 -170 Calculate -742*3. -2226 -34*13 -442 Calculate 20.2*2. 40.4 Multiply 10 and -0.15. -1.5 What is 0.004 times -0.06? -0.00024 What is -0.039 times -1.8? 0.0702 0.4*0.073 0.0292 Product of 0.5 and 137. 68.5 4423*-2 -8846 Multiply 0.0395 and 5. 0.1975 0.1 times 2.61 0.261 Calculate 932*-0.2. -186.4 What is the product of 0.059 and -14? -0.826 0.5 * 0.087 0.0435 -4 times -0.031 0.124 Multiply 0.2 and -67.4. -13.48 Calculate 0.1*0.16. 0.016 0.1*-0.67 -0.067 -4768 * 2 -9536 Calculate -41*-122. 5002 -0.1 times 5.9 -0.59 Calculate -0.2*-1.939. 0.3878 Calculate 0.1*1189. 118.9 What is the product of 66 and 4? 264 0.12*-526 -63.12 Product of -164 and 0.1. -16.4 Multiply -0.1 and -998. 99.8 Work out 0.1 * -0.057. -0.0057 Calculate -3*-48. 144 -255 * 51 -13005 -0.1*-21 2.1 Multiply -0.3 and -885. 265.5 What is -3 times -351? 1053 -0.42 * 309 -129.78 What is the product of -5 and 2.6? -13 What is the product of -0.6 and 0.26? -0.156 0*-70 0 -530 * -0.05 26.5 2 times -89.8 -179.6 131 times 0.2 26.2 14.24 * -4 -56.96 0.05*28 1.4 Calculate 0.17*2.53. 0.4301 -5.3*-10 53 What is 0.031 times 0.77? 0.02387 Work out 0.0183 * -0.1. -0.00183 Work out -0.3 * 3.04. -0.912 -196*1 -196 -24.5*0 0 What is the product of 1 and -24? -24 Product of 4 and -1.433. -5.732 Work out -0.2 * 0.1879. -0.03758 0*700 0 Multiply -0.03 and -0.024. 0.00072 11*1.06 11.66 What is the product of 100 and -0.1? -10 Multiply 0.19 and 569. 108.11 Work out 3 * 46. 138 What is -1 times -8.1? 8.1 Product of -0.3427 and -0.4. 0.13708 0.302*4 1.208 0.2*203 40.6 0.6 * 0.472 0.2832 Calculate 23.69*-2. -47.38 Multiply 0.19 and -45. -8.55 53 times -0.09 -4.77 -1 * 159 -159 Product of -39 and 0.0708. -2.7612 Work out 0.2407 * 0.06. 0.014442 Calculate -46*1.2. -55.2 Product of 0.2 and 0.683. 0.1366 -0.39*5 -1.95 What is the product of -4 and -1.426? 5.704 Multiply -3 and 3.47. -10.41 Product of 0.5 and -30.3. -15.15 3241*-0.1 -324.1 -0.9 * -1861 1674.9 Product of -3 and -2649. 7947 -0.2 * -314 62.8 Work out -1.8 * 0.315. -0.567 166.21 times 0 0 Multiply -5 and 6.994. -34.97 -5 times -754.9 3774.5 What is 132 times 0.4? 52.8 What is -2 times -1.44? 2.88 What is the product of -135 and -0.137? 18.495 Calculate -2*-47. 94 Calculate 0.285*30. 8.55 -0.1 times 654 -65.4 Calculate -1.93*97. -187.21 -0.4 * 1.03 -0.412 Product of -108 and -0.5. 54 -5075*0.4 -2030 491.1*-2 -982.2 0.082 times -1 -0.082 Multiply -0.05 and 85. -4.25 Multiply -7519 and -0.4. 3007.6 Product of 0.2 and -5082. -1016.4 Multiply 2.93 and -18. -52.74 Calculate -3*-56. 168 600.6 times -0.3 -180.18 1.4 * -3.5 -4.9 -1 * -80.9 80.9 What is the product of -0.2 and -221? 44.2 What is the product of -2746 and -0.1? 274.6 -0.5 * 120 -60 What is the product of 3065 and 0.1? 306.5 What is the product of -2 and -0.03966? 0.07932 Calculate 0.424*-0.3. -0.1272 -13 * 3.8 -49.4 Work out 20646 * -0.5. -10323 Work out -91.6 * -5. 458 Multiply -1999 and -0.3. 599.7 Calculate 0.1*0.005. 0.0005 Work out -4 * 29. -116 -9*3077 -27693 0.4 * -22 -8.8 Calculate -34*-0.071. 2.414 -4*-48 192 -9.84*-0.3 2.952 -28 times -4 112 Product of 1.4 and 6. 8.4 What is the product of 0.17 and 8? 1.36 4 times 44.7 178.8 Product of 228 and -0.5. -114 Multiply -420 and 5. -2100 Product of 0.7 and 148. 103.6 -0.0251 * 0.3 -0.00753 Product of -0.1 and -174. 17.4 Product of -0.1 and -0.08251. 0.008251 Work out -6545 * 0.5. -3272.5 -0.5735*3 -1.7205 Multiply -9983 and 2. -19966 Product of -0.201 and 0.1. -0.0201 0.5*7 3.5 -1.11*10 -11.1 Work out 0.3 * 1035. 310.5 Calculate 2.2*0. 0 -1 times 0.34 -0.34 Multiply 600 and 0. 0 What is the product of -128 and 70? -8960 21 * 1 21 5 * 282 1410 Calculate -10*-1.3. 13 -0.2 times 66.2 -13.24 Multiply 10.8 and 33. 356.4 Product of 116 and -11. -1276 -1.2*-637 764.4 What is the product of -0.3 and -47? 14.1 0.2*1.12 0.224 Product of 0.1 and 1.129. 0.1129 Work out -0.154 * 2. -0.308 -6*0.036 -0.216 -0.1 * -971 97.1 What is the product of 676 and -3? -2028 What is -0.04 times -23? 0.92 5*0.5 2.5 Work out 0.062 * -0.22. -0.01364 Multiply -0.5 and -63. 31.5 Product of -0.673 and 8. -5.384 Multiply -0.02 and -0.07. 0.0014 Multiply 2 and -15.6. -31.2 -1.11 * 0.3 -0.333 Work out -0.309 * 1. -0.309 0.056*-62 -3.472 What is 3 times 4046? 12138 Calculate -2*-429. 858 -1557 times 0.01 -15.57 What is 0.2 times -35.91? -7.182 What is the product of 4.91 and -3? -14.73 What is the product of 5.9 and 0.089? 0.5251 0.814 * 5 4.07 Work out -4174 * 0. 0 Work out 0.7 * 96. 67.2 -65*-0.05 3.25 12*0.034 0.408 20 times -3 -60 What is -8 times -0.0787? 0.6296 -1.8 times -5 9 What is the product of -0.0065 and 0.5? -0.00325 Multiply 0.2 and -56. -11.2 8.4 times -0.5 -4.2 -0.1*0.052 -0.0052 Work out 2 * -341. -682 Calculate 0.258*-1. -0.258 -7.28 times 0.07 -0.5096 What is 2 times -6.7? -13.4 What is -0.017 times 0.54? -0.00918 Multiply -4699 and -3
{ "pile_set_name": "DM Mathematics" }
inder when 6719 is divided by 11. 9 Calculate the remainder when 11423 is divided by 119. 118 What is the remainder when 267 is divided by 53? 2 Calculate the remainder when 249 is divided by 26. 15 Calculate the remainder when 10580 is divided by 11. 9 What is the remainder when 204 is divided by 56? 36 What is the remainder when 494 is divided by 71? 68 Calculate the remainder when 375 is divided by 47. 46 What is the remainder when 2153 is divided by 429? 8 What is the remainder when 421 is divided by 213? 208 Calculate the remainder when 575 is divided by 21. 8 Calculate the remainder when 658 is divided by 22. 20 Calculate the remainder when 334 is divided by 59. 39 What is the remainder when 478 is divided by 230? 18 What is the remainder when 65 is divided by 35? 30 Calculate the remainder when 112 is divided by 49. 14 What is the remainder when 229 is divided by 60? 49 Calculate the remainder when 972 is divided by 25. 22 Calculate the remainder when 57 is divided by 54. 3 What is the remainder when 39 is divided by 14? 11 Calculate the remainder when 4454 is divided by 99. 98 What is the remainder when 1088 is divided by 29? 15 What is the remainder when 604 is divided by 66? 10 Calculate the remainder when 371 is divided by 33. 8 What is the remainder when 143 is divided by 46? 5 Calculate the remainder when 154 is divided by 41. 31 Calculate the remainder when 18 is divided by 13. 5 What is the remainder when 515 is divided by 20? 15 What is the remainder when 3255 is divided by 18? 15 Calculate the remainder when 416 is divided by 99. 20 What is the remainder when 15 is divided by 6? 3 What is the remainder when 212 is divided by 50? 12 What is the remainder when 153 is divided by 52? 49 Calculate the remainder when 246 is divided by 10. 6 What is the remainder when 1185 is divided by 33? 30 Calculate the remainder when 30 is divided by 10. 0 What is the remainder when 89 is divided by 41? 7 Calculate the remainder when 4580 is divided by 153. 143 Calculate the remainder when 399 is divided by 137. 125 Calculate the remainder when 958 is divided by 30. 28 What is the remainder when 22 is divided by 13? 9 Calculate the remainder when 264 is divided by 24. 0 Calculate the remainder when 571 is divided by 511. 60 Calculate the remainder when 137 is divided by 28. 25 Calculate the remainder when 481 is divided by 48. 1 Calculate the remainder when 516 is divided by 41. 24 What is the remainder when 5031 is divided by 53? 49 What is the remainder when 897 is divided by 6? 3 Calculate the remainder when 89 is divided by 49. 40 Calculate the remainder when 133 is divided by 53. 27 What is the remainder when 231 is divided by 47? 43 Calculate the remainder when 395 is divided by 102. 89 Calculate the remainder when 47 is divided by 30. 17 Calculate the remainder when 747 is divided by 15. 12 Calculate the remainder when 5093 is divided by 116. 105 Calculate the remainder when 3089 is divided by 221. 216 Calculate the remainder when 12136 is divided by 17. 15 What is the remainder when 8820 is divided by 12? 0 What is the remainder when 51 is divided by 3? 0 What is the remainder when 65 is divided by 11? 10 What is the remainder when 2774 is divided by 4? 2 Calculate the remainder when 72 is divided by 37. 35 Calculate the remainder when 1212 is divided by 29. 23 What is the remainder when 38 is divided by 23? 15 What is the remainder when 166 is divided by 25? 16 Calculate the remainder when 418 is divided by 5. 3 Calculate the remainder when 202 is divided by 30. 22 Calculate the remainder when 116 is divided by 26. 12 What is the remainder when 378 is divided by 108? 54 What is the remainder when 114 is divided by 41? 32 Calculate the remainder when 1174 is divided by 31. 27 Calculate the remainder when 22 is divided by 15. 7 Calculate the remainder when 790 is divided by 99. 97 What is the remainder when 481 is divided by 52? 13 What is the remainder when 1706 is divided by 559? 29 Calculate the remainder when 21 is divided by 3. 0 Calculate the remainder when 3359 is divided by 120. 119 What is the remainder when 184 is divided by 32? 24 Calculate the remainder when 2778 is divided by 926. 0 Calculate the remainder when 2073 is divided by 311. 207 Calculate the remainder when 5 is divided by 4. 1 What is the remainder when 92 is divided by 31? 30 What is the remainder when 7780 is divided by 173? 168 What is the remainder when 494 is divided by 49? 4 Calculate the remainder when 413 is divided by 135. 8 Calculate the remainder when 784 is divided by 131. 129 Calculate the remainder when 531 is divided by 507. 24 Calculate the remainder when 67 is divided by 11. 1 What is the remainder when 850 is divided by 122? 118 What is the remainder when 613 is divided by 300? 13 Calculate the remainder when 566 is divided by 64. 54 Calculate the remainder when 76 is divided by 16. 12 What is the remainder when 330 is divided by 91? 57 What is the remainder when 71 is divided by 53? 18 What is the remainder when 464 is divided by 26? 22 Calculate the remainder when 115 is divided by 3. 1 Calculate the remainder when 1166 is divided by 402. 362 Calculate the remainder when 734 is divided by 84. 62 What is the remainder when 27231 is divided by 13? 9 What is the remainder when 126 is divided by 6? 0 What is the remainder when 632 is divided by 305? 22 Calculate the remainder when 266 is divided by 79. 29 Calculate the remainder when 149 is divided by 23. 11 Calculate the remainder when 375 is divided by 118. 21 Calculate the remainder when 134 is divided by 51. 32 Calculate the remainder when 1070 is divided by 135. 125 What is the remainder when 201 is divided by 56? 33 Calculate the remainder when 746 is divided by 162. 98 Calculate the remainder when 648 is divided by 163. 159 Calculate the remainder when 967 is divided by 192. 7 Calculate the remainder when 124 is divided by 30. 4 Calculate the remainder when 373 is divided by 157. 59 What is the remainder when 1636 is divided by 26? 24 What is the remainder when 49 is divided by 18? 13 What is the remainder when 757 is divided by 172? 69 Calculate the remainder when 5877 is divided by 21. 18 Calculate the remainder when 150 is divided by 33. 18 Calculate the remainder when 4233 is divided by 36. 21 Calculate the remainder when 290 is divided by 67. 22 What is the remainder when 292 is divided by 56? 12 What is the remainder when 961 is divided by 74? 73 What is the remainder when 2725 is divided by 65? 60 What is the remainder when 2664 is divided by 127? 124 Calculate the remainder when 101 is divided by 16. 5 Calculate the remainder when 59 is divided by 8. 3 What is the remainder when 74 is divided by 56? 18 What is the remainder when 7316 is divided by 9? 8 Calculate the remainder when 62 is divided by 51. 11 Calculate the remainder when 19 is divided by 14. 5 What is the remainder when 3667 is divided by 153? 148 Calculate the remainder when 211 is divided by 99. 13 Calculate the remainder when 79 is divided by 6. 1 Calculate the remainder when 206 is divided by 124. 82 What is the remainder when 136 is divided by 13? 6 What is the remainder when 29345 is divided by 46? 43 What is the remainder when 131 is divided by 49? 33 Calculate the remainder when 2132 is divided by 74. 60 Calculate the remainder when 578 is divided by 58. 56 Calculate the remainder when 188 is divided by 41. 24 Calculate the remainder when 26 is divided by 14. 12 Calculate the remainder when 43 is divided by 15. 13 Calculate the remainder when 396 is divided by 13. 6 Calculate the remainder when 350 is divided by 39. 38 Calculate the remainder when 75 is divided by 7. 5 What is the remainder when 3200 is divided by 9? 5 What is the remainder when 22 is divided by 16? 6 What is the remainder when 55 is divided by 19? 17 Calculate the remainder when 141 is divided by 52. 37 What is the remainder when 22102 is divided by 36? 34 What is the remainder when 552 is divided by 15? 12 Calculate the remainder when 147 is divided by 86. 61 Calculate the remainder when 27 is divided by 11. 5 Calculate the remainder when 455 is divided by 31. 21 What is the remainder when 360 is divided by 91? 87 Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
(-5). What is the highest common factor of o and 12? 4 Suppose -9*n + 11*n - 22 = 0. Suppose -2*i = -2*z - 4*i + 46, 0 = -3*i + 3. Let v be z/((-6)/(-3))*1. Calculate the greatest common factor of v and n. 11 Let f = -3 + 15. What is the highest common divisor of f and 1236? 12 Let m(b) = 34*b**2 - 3*b + 2. Let q be m(-2). Calculate the greatest common factor of 108 and q. 36 Let t(j) = -j**3 - j**2 + 1. Let b(n) = n**2 - 6*n - 4. Let i(v) = b(v) + 2*t(v). Let h be i(-2). Calculate the highest common factor of 22 and h. 22 Suppose -84 = -3*h - 2*o, 2*o + 56 = 2*h + 3*o. Let q = 170 + 138. Calculate the greatest common factor of h and q. 28 Let k = -1973 - -623. Let y = 2400 + k. Suppose -y = -x - 4*x. What is the highest common factor of x and 21? 21 Let g = 1986 - 1949. What is the greatest common divisor of g and 9? 1 Suppose 5*c - 5*z = 245, -2*c - 35*z + 98 = -36*z. Calculate the highest common divisor of c and 1. 1 Suppose -11 = 3*m - 2. Let k be -4 + (-6)/m - -7. Suppose 2*a - 153 = n - 4*n, k*a = n + 357. What is the greatest common factor of a and 8? 8 Suppose -6*k + 7*k - 115 = 0. Suppose 0*c + 5*a = 3*c - k, 4*a - 44 = -c. What is the greatest common divisor of c and 30? 10 Let a(w) = w**3 - 6*w**2 + 4. Let b be a(6). Let p(n) = 9 + 15 + 0 - 6*n + 5*n. Let u be p(-8). Calculate the highest common factor of u and b. 4 Suppose 4*f = d - 3*d + 62, -f = d - 27. Suppose -3*p + 44 = -o, -63 = -2*p - 2*o - d. Suppose r - 64 = -r. Calculate the highest common divisor of r and p. 16 Let x be 9 - -2 - (-2)/(-2). Let q be 6/x - 3*(-4)/30. What is the greatest common divisor of q and 8? 1 Let d(w) = 2*w**2 - 57*w - 87. Let o be d(30). Suppose -x - n = -13, 3*x + 2*n - 35 = -0*n. What is the highest common factor of o and x? 3 Let k be 1/2*133 - 84/168. Calculate the highest common factor of 1254 and k. 66 Suppose 13*c = 23*c + 140. Let j be (-302)/c - (-40)/(-70). What is the greatest common divisor of 3 and j? 3 Let c(h) = -h**3 + 15*h**2 + 5*h + 105. Let f be c(15). Calculate the greatest common divisor of f and 315. 45 Let w(c) = c**2 - 4*c - 108. Let s be w(-17). What is the highest common divisor of s and 332? 83 Let a = 318 + -317. Calculate the highest common divisor of 11 and a. 1 Let p = 8 - 8. Suppose p = 12*d - 15*d + 36. Let a be (4 - -1)*(-192)/(-10). Calculate the highest common factor of d and a. 12 Let c be (-283774)/(-506) - (-2)/11. Calculate the greatest common divisor of c and 11. 11 Let m = 41 + -28. Suppose 2*k = -z + 106, -k + 22 + 34 = 2*z. What is the highest common divisor of k and m? 13 Suppose -73*v - 156 = -79*v. What is the highest common divisor of v and 117? 13 Let z(m) = -m**3 + 7*m**2 + 5*m - 1. Let l be z(6). Let h(t) = t**2 - 2*t - 22. Let p be h(-5). What is the greatest common factor of l and p? 13 Let x = -402 + 404. Suppose -5*c - 6 = -2*h, 4*h + 5*c = h + 9. Suppose t + 0*s = -2*s, -s + 25 = h*t. What is the highest common factor of x and t? 2 Let b(l) = l**2 + 4*l. Let d = -14 - -10. Let p be b(d). Suppose p = 2*j + 5 - 17. Calculate the highest common divisor of 42 and j. 6 Let t(o) = o + 1. Let m be t(-1). Suppose 4*r = -5*d + 31 - 8, 3*d + 2*r - 13 = m. Suppose d*g = -2*g + 10. What is the greatest common factor of 2 and g? 2 Suppose 169 = 5*w - 2*f, f - 4 + 1 = 0. Calculate the greatest common factor of w and 28. 7 Let o(h) = -h**3 + 36*h**2 + 40*h - 90. Let f be o(37). What is the greatest common factor of f and 147? 21 Let a(j) = 119*j**2 - 5*j - 5. Let s be a(-1). Calculate the highest common divisor of 17 and s. 17 Suppose 0 = 18*s - 11*s - 112. What is the greatest common divisor of s and 68? 4 Suppose -4*w - x - 14 = -5*w, 5*w - 90 = -5*x. Calculate the greatest common divisor of w and 104. 8 Let b = 1286 + -782. What is the greatest common divisor of b and 72? 72 Let k(n) = 47*n - 1. Let s be k(2). Suppose -17 = -5*w - 4*j, 7*j = -w + 2*j - 5. Suppose -5 = w*f - 315. Calculate the highest common factor of f and s. 31 Let s be 9/(-1 - (-5)/2). Let z be -3*2*(71/(-50) + 2/(-25)). Calculate the greatest common divisor of z and s. 3 Suppose -8*x = -6*x - 54. Suppose 4*r = -5*b + 90, 4*r = 3*b + r - x. Let o be 2 + 22 + 2/((-6)/9). Calculate the highest common divisor of b and o. 7 Let c(n) = n + 10. Let w be c(4). Let j = w - 10. Let x be (30/j)/(5/10). What is the greatest common factor of 10 and x? 5 Let d = 854 - 503. What is the greatest common divisor of d and 39? 39 Let n(z) = 15*z + 10. Let x be n(21). Calculate the greatest common divisor of 65 and x. 65 Suppose -625 = -5*u + 5*f, -8*u + 11*u + 3*f = 393. What is the greatest common factor of u and 16? 16 Let c(d) = -d**2 + 55*d - 280. Let y be c(6). Calculate the highest common factor of y and 217. 7 Suppose -2*v + 4 = 6. Let p be v + (1 + -1 - 239). Let i be p/(-25)*45/6. Calculate the greatest common divisor of i and 8. 8 Suppose 48*q + 91 = 61*q. What is the highest common factor of 112 and q? 7 Let m(g) = 8*g**2 + g - 1. Let b be m(1). Let n = 182 - 181. Calculate the greatest common divisor of n and b. 1 Let s(d) = 82*d + 580. Let m be s(-7). Let y(l) = -l**3 - 6*l**2 + 6. Let q be y(-6). What is the greatest common factor of m and q? 6 Suppose -2*b + 37 = 2*b + 5*v, -5*b - 3*v = -56. Let q = -55 + b. Let d = -26 - q. What is the highest common divisor of 2 and d? 2 Let k be (-1 - -2*1) + 24. Let h = -19 - -14. Let n = k + h. Calculate the greatest common factor of n and 4. 4 Suppose -38*g + 192 = f - 39*g, -3*g = 0. Let b be ((-6)/4)/((-2)/16). Calculate the highest common divisor of f and b. 12 Let u(h) = 2*h**2 - h - 2. Let r be u(2). Let t = r + 7. Let q = -261 - -349. Calculate the highest common factor of q and t. 11 Let s(m) = m**2 - 8*m - 15. Suppose -10*o + 40 = -6*o. Let u be s(o). Suppose -u*n = 15, 6*n + 399 = 4*w + n. Calculate the greatest common divisor of w and 32. 32 Suppose 4*a + 30 = 7*a. Let h = 13 - a. Suppose 0*c + h*c - 24 = 0. What is the highest common factor of c and 72? 8 Let d(y) = 10*y - 13 + 6*y - 2*y**2 + 4*y**2 - 2. Let x be d(-9). Calculate the highest common divisor of x and 2. 1 Suppose -11*p = -2*r - 12*p + 47, -6 = -2*p. What is the greatest common factor of r and 22? 22 Let p(c) = 3*c**2 - 18*c - 37. Let t be p(9). Let o = -133 + 199. What is the greatest common factor of o and t? 22 Suppose -15*q + 14*q = -t - 119, 0 = 4*q + 2*t - 506. What is the highest common factor of 4 and q? 4 Let l = -675 + 951. What is the highest common divisor of 644 and l? 92 Suppose -w - 308 = -2*u + 327, -2*w = 5*u - 1610. What is the greatest common factor of u and 64? 64 Let w be (16/4 - 0)*1. Let k be 66/w + (9/(-6) - -1). What is the highest common factor of 40 and k? 8 Let w = 1288 + -1280. Suppose -4*b + 40 = b. What is the highest common divisor of b and w? 8 Let k(v) = v**3 - 10*v**2 - 5*v - 11. Let j be k(11). What is the highest common divisor of 55 and j? 55 Let n(b) = b - 9. Suppose 2*l - 52 = -2*l. Let a be n(l). Suppose 3*s + k - 3*k - 64 = 0, 4*s - 108 = -3*k. Calculate the greatest common factor of s and a. 4 Suppose -h + 6*h + 3*d - 118 = 0, d = h - 30. What is the greatest common divisor of 208 and h? 26 Suppose 2*o - 11 = q + o, -q - o = 11. Let w = -6 - q. Suppose 11 + 19 = w*y. What is the highest common factor of 3 and y? 3 Suppose 3*a = 4*a - 129. Calculate the highest common factor of 43 and a. 43 Let c = 16 - 9. Let a(z) = 2*z**3 - 3*z**2 - 12*z + 3. Let b be a(4). What is the greatest common divisor of c and b? 7 Let m be 1577/9 + ((-20)/9)/10. What is the highest common divisor of m and 35? 35 Suppose -5*n - 12 - 19 = 4*b, 0 = -2*n - 3*b - 18. Let j be (-208)/(-6)*n/(-2). Calculate the highest common factor of j and 13. 13 Let m = -6 - -10. Suppose 5*o - 4*y - 964 = 0, -m*o - 2*y = -2*o - 382. Suppose q + 3*q = o. Calculate the highest common divisor of q and 6. 6 Let s = -280 - -285. What is the greatest common factor of s and 1? 1 Suppose n = -4*d - 4, n + 12 = -2*n. Suppose -2*g - 14 = -b, 0 = -d*b + 4*b + g - 11. Let u = 117 + -81. Calculate the highest common factor of b and u. 4 Let u(n) = 5*n - 63. Let o be u(16). Let w(x) = 3*x**2 + x - 2. Let d be w(-5). What is the highest common factor of d and o? 17 Suppose 2*s + 5*b - 1 + 4 = 0, -18 = -4*s - 2*b. Let f = 622 - 568. Calcul
{ "pile_set_name": "DM Mathematics" }
f*q - 12 = 26. List the prime factors of q. 19 Let p = -321 + 572. What are the prime factors of p? 251 Let p(w) = 16*w**2 + w - 1. Suppose -3*t + 11 = 5*l, -3*t - 4*l + 0*l + 10 = 0. Suppose u + t = 3*u. What are the prime factors of p(u)? 2 Let u = 117 - 45. What are the prime factors of u? 2, 3 Let x(n) = 2*n - 3 - 3*n + 2. Let a be x(-3). Suppose -r + 22 = -3*s + 75, 0 = -3*s + a*r + 58. List the prime factors of s. 2 Suppose 3*v = -3*v + 102. Let l(p) = -p**3 + 5*p**2 - p. Let i be l(4). Let b = v - i. What are the prime factors of b? 5 Suppose -6 = 2*f + 3*l, f - 3*l + 4*l + 2 = 0. What are the prime factors of (23 - 6) + (f - 2)? 3, 5 Let z(m) = 3*m**2 - 3*m - 1. Let u be z(3). Suppose 5 = -4*g + u. Suppose 9 = g*c - 3*h, c = -4*c + h + 31. What are the prime factors of c? 7 Suppose -3*n + 63 = 3*p, 2*p - 38 = 3*n - 4*n. List the prime factors of (-1 + -2 - -2) + p. 2 Let i(b) = 4*b**2 - 3*b + 3. What are the prime factors of i(9)? 2, 3, 5 What are the prime factors of (-135)/10*2/(-3)? 3 Suppose -f - y + 71 = 0, -f - 2*f - 4*y + 218 = 0. What are the prime factors of f? 2, 3, 11 Suppose 3*q - 2*w = 1, q - 8 = -4*w - 3. Let u be (1 + q - 2) + -1. What are the prime factors of 3 - (1 + u + 0)? 3 List the prime factors of 1*207 - (7 - 11/1). 211 Suppose 9 = l - 80. What are the prime factors of l? 89 Let m be ((-108)/(-10))/(5/25). Suppose -j + m = 2*j. Suppose -4*y + 2*k + 32 = -16, 3*k - j = -3*y. List the prime factors of y. 2, 5 Suppose 3*y + w - 55 = 0, 5*y + 2*w - 67 = 24. Suppose 5*j + y = 5*t - 56, j + 31 = 2*t. What are the prime factors of t? 2 Let b(h) = 7*h**3 - 24*h**2 - 28*h - 17. Let i(r) = 3*r**3 - 12*r**2 - 14*r - 9. Let m(j) = 2*b(j) - 5*i(j). List the prime factors of m(13). 2, 3 Let o(c) = c - 1. Let g(b) = -b**2 + 3*b + 3. Let k be g(3). Let p be o(k). Suppose -3*x + p*q + 21 = -13, 4*q + 4 = -2*x. What are the prime factors of x? 2 Suppose 0 = -3*s - 17 + 350. List the prime factors of s. 3, 37 Suppose 0 = h + h - 14. What are the prime factors of h? 7 Let j = 54 + -23. Let o = j - 19. List the prime factors of o. 2, 3 Let b = 26 - 8. Let j = b - -8. List the prime factors of j. 2, 13 Let m(n) = -7*n + 4. Let z be m(-3). Let i = z + -12. List the prime factors of i. 13 Let g(r) = 5*r + 13. Let n(x) = -14*x - 38. Let p(o) = -11*g(o) - 4*n(o). What are the prime factors of p(-7)? 2 Suppose 18*k = 19*k - 100. What are the prime factors of k? 2, 5 Let w(q) = 0*q + 9 + 3*q - 7. List the prime factors of w(4). 2, 7 Let a = 16 + -12. Suppose 4*j - 108 = -a*w - 0*j, -20 = -4*j. What are the prime factors of w? 2, 11 Let u(q) = 2*q - 5. Let n(c) = -c + 5. Let v(p) = -3*n(p) - 2*u(p). List the prime factors of v(-7). 2 Let h(g) be the first derivative of g**3/3 + g**2/2 + g + 1. List the prime factors of h(-4). 13 Suppose -5*a = -0*a + 5. Let d = a + 10. List the prime factors of d. 3 Let y = -5 - -5. What are the prime factors of 0 - (y - -1)*-13? 13 Suppose -h = 2*h - 3. Let f(z) = 2*z. Let g(d) = 4*d. Let n(i) = 13*f(i) - 6*g(i). List the prime factors of n(h). 2 Let u(w) = 7*w**2 + 5*w - 3. List the prime factors of u(3). 3, 5 Suppose -2*w = -4, 6*a + 2*w = a + 124. List the prime factors of a. 2, 3 Suppose -1303 = -5*v - 3*l, 4*v - 364 = -5*l + 681. What are the prime factors of v? 2, 5, 13 Let i = 981 - 700. List the prime factors of i. 281 What are the prime factors of (-2)/4 - 292/(-8)? 2, 3 Let c(g) = -4*g + 3. Let u be c(4). Let n = -8 - u. What are the prime factors of n? 5 What are the prime factors of ((-117)/(-6))/((-6)/(-4))? 13 Let y be (-2)/(-4) - (-3)/(-6). Suppose 2*b + 8 = 4*b. Suppose y = -w - b + 11. List the prime factors of w. 7 Let s(y) = 105*y + 11. List the prime factors of s(2). 13, 17 Let p = -43 + 225. What are the prime factors of p? 2, 7, 13 Suppose 4*o - 2 - 6 = 0. List the prime factors of o. 2 Let y be 198/10 + 2/10. Suppose -2*v + 2*f = -7*v + y, 2*f - 8 = v. Suppose -5*l - 5*d = -33 - 17, l = -3*d + v. List the prime factors of l. 2, 7 Let a(k) = 11*k**2 + 0 + 3*k - 10*k**2 + 8. What are the prime factors of a(-5)? 2, 3 Let h(l) = -l**3 - 3*l**2 + 2*l - 4. Let t be h(-4). Suppose -y + t*y - 69 = 0. What are the prime factors of y? 23 Let y(r) = 2*r**2 + 6*r + 2. What are the prime factors of y(-5)? 2, 11 Let p(k) be the second derivative of -k**5/10 - k**4/4 - k**3/3 - k**2 + 4*k. List the prime factors of p(-2). 2, 3 Let j = -32 + 39. List the prime factors of j. 7 Suppose -m = -2*t - t + 20, t + 15 = -4*m. Let b = -2 + t. Suppose -2*s - 2*s = -4*i - 8, 5*i + b*s = 22. What are the prime factors of i? 2 Let s be (-3)/(-3 + 2) + -3. What are the prime factors of -15*(s - (-6)/(-9))? 2, 5 Let q be -2*(-3)/6*0. Let w = q - -3. List the prime factors of 3/w + 2 + 5. 2 Let g = 108 + -18. List the prime factors of g. 2, 3, 5 Let x(w) = -w**3 + 4*w**2 + 6*w + 2. Let f be (-1)/6 + (-62)/(-12). List the prime factors of x(f). 7 Suppose 54 = -5*l - 201. Let r = -3 - l. What are the prime factors of r? 2, 3 Let z = 210 - 41. List the prime factors of z. 13 Let l be (-4)/14 + 107/7. Suppose -h + 21 = 2*t, 4*h + l = -0*t + t. What are the prime factors of t? 11 Suppose 4*m - 10 - 12 = -s, -4*m + 12 = -4*s. Suppose -126 = -5*j + 3*v, 0*j + s*v = -3*j + 68. What are the prime factors of j? 2, 3 Let u = -71 - -107. What are the prime factors of u? 2, 3 List the prime factors of (-164)/(-12) + (-2)/3. 13 What are the prime factors of (105/(-9))/(2/(-36))? 2, 3, 5, 7 Let t = -18 + 43. Let h = t + -11. List the prime factors of h. 2, 7 Let x(j) = j - 24. Let a be x(-12). List the prime factors of (84/a)/(1/(-3)). 7 Let y(l) = -3*l**2 + l - 2. Let d(b) = -4*b**2 + 2*b - 3. Let t(m) = -2*d(m) + 3*y(m). Let x be t(-5). Let v = x - -42. List the prime factors of v. 2, 11 Let a(b) = 2 - 3*b**2 + 2*b + b**3 - 3 + 2*b**2 + 0*b. List the prime factors of a(2). 7 Let j be (-4)/(-3) + (-444)/9. List the prime factors of (-10)/(-4)*j/(-15). 2 Let v(w) be the third derivative of 0 + 0*w - 1/6*w**4 - 1/60*w**5 - w**2 - 1/6*w**3. What are the prime factors of v(-2)? 3 Suppose 42 = a - 7. What are the prime factors of a? 7 Let i be 0 - 0*2/8. Suppose i = -3*v - 7 + 40. List the prime factors of v. 11 Let o = 44 - 22. Let i = o + -16. What are the prime factors of i? 2, 3 Let j(f) = 3*f. Let g be j(-4). List the prime factors of ((-15)/10)/(1/g). 2, 3 Suppose -6*w = -4*n - 3*w - 39, -5*n + 5*w = 45. Let o be ((-2)/6 + 1)*n. Let l = o - -14. What are the prime factors of l? 2, 3 Let h(w) = -73*w**3 - 2*w + 5. Let d(a) = -110*a**3 - 3*a + 8. Let n(q) = -5*d(q) + 8*h(q). What are the prime factors of n(-1)? 5, 7 Let r be (-10)/(-14) - 12/(-42). Let n = r - -5. List the prime factors of n. 2, 3 Suppose -2*l + 4*y - 8 = -30, 2*y = -10. List the prime factors of (-24 + 5)*(-1)/l. 19 Let a(q) = 12*q**3 - 3*q**2 + 3*q - 2. Let d be a(2). Suppose -5*o = -o - d. What are the prime factors of o? 2, 11 Let r(y) = 13*y - 7. List the prime factors of r(3). 2 Suppose 0 = 3*x - 6 - 6. Suppose x*j = 2*j + 38. List the prime factors of j. 19 Let d(r) = r + 5. Let l be 1 - 3/(-3) - -4. List the prime factors of d(l). 11 Let u(y) = 2*y**2 - 2*y - 1. Let c be u(-1). Let v be 6 + (-1 + 1)/c. List the prime factors of ((1 - 1) + v)/2. 3 Let f(u) = -u**3 + 5*u**2 - 5*u + 6. Let g be f(4). Suppose 0 = 5*k - g - 3. Suppose -r + 4 = -k. List the prime factors of r. 5 Let s(z) = -2*z + 20. What are the prime factors of s(-10)? 2, 5 Let w(t) = 0*t + 2*t + 3 + t. Let z be w(3). Let o(f) = f**2 - 10*f - 7. List the prime factors of o(z). 17 Let i be 168 - ((-18)/(-3))/2. Suppose 0 = 5*u - i + 40. List the prime factors of u. 5 Suppose 0 = 2*j + 10, -4 = 3*t + 3*j - 1. Suppose 0 = -p + t*p - 5*z + 34, 2*p - 14 = -4*z. What are the prime factors of 7 + p/((-9)/6)? 3 Let a(x) = 3*x + 78. List the prime factors of a(19). 3, 5 Let v(u) = u**3 - 6*u**2 - 5*u - 10. Let d be v(7). Suppose 5*c = 3*r + 103, -2*c - 2*c - d*r = -76. Let m = c + -10. List the prime factors of m. 2, 5 Suppose -4*z - 485 = -9*z. List the prime factors of z. 97 Let u be (1 - 1)/(2*1). Suppose -2*l + p - 5 = u, -3*p + 6 = -2*l - 5. List the prime factors of l + 3 + (-1 - -1). 2 Let k be (-194)/(-3) + (-5)/(-15). Suppose 0 = 2*r - 7*r + k. What are the prime factors of r? 13 Suppose
{ "pile_set_name": "DM Mathematics" }
pose z + 1 = 3*d + 13, -2*d - 5*z = 8. Which is the third smallest value? (a) d (b) p (c) 0.5 c Suppose 5*l + 3*u - 32 = 0, 33 = 4*l + 2*u - 7*u. What is the second biggest value in 3/8, l, -1? 3/8 Let d = -205/284 + -2/71. Let x = -3.89 + -0.11. Which is the third smallest value? (a) d (b) x (c) 0.2 c Let k be 3 + 28/(-104)*18. Let w = 79/78 + k. Which is the third smallest value? (a) 0.5 (b) 2 (c) w b Let h = 0.14 - -3.86. Let z = 6 - h. What is the biggest value in -1/5, 2/3, z? z Let u = 21 + -16. Suppose -4 = -4*j - 0*j. Let o be j/((-10)/(-14)) - 1. Which is the third biggest value? (a) o (b) 0.1 (c) u b Let t = 136 - 136.2. What is the third smallest value in -2/9, -71, t? t Suppose 3*q + 3*n - 6*n - 12 = 0, -4*q + 20 = -3*n. Suppose 3*h - 13 = 2*y, -4*y + 5*h + q = 33. What is the third smallest value in 3/5, y, 1/2? 3/5 Let a = -0.3 + 0.29. Let g = a + 2.01. Let w = 3 + g. What is the third smallest value in w, 1, 3/8? w Let k = -92 - -89. What is the third biggest value in k, 2, -1, -7? k Let l = 0.4 + -0.2. Let w = -7.7 - -8. Let n = w + l. Which is the second smallest value? (a) 1 (b) -2 (c) n c Let f = 1 + -2. Let n = -1 - f. Suppose -5*y + 4*t + 5 = 0, 2*y - t - 15 = -2*y. Which is the biggest value? (a) y (b) n (c) -3/7 a Let q be (-68)/(-12)*-1 + 5. Which is the second biggest value? (a) q (b) -2/7 (c) 2 (d) 1 d Let m = 3 + -3.2. Suppose 3*h + y = 13, 0 = -5*y + 8*y - 3. What is the second biggest value in m, h, -0.3? m Let j = 1.22 - 0.22. What is the smallest value in 2/7, -1/6, j? -1/6 Let m = -18.01 - -18. Let x = m + -0.29. What is the second smallest value in -3/13, 4/9, x? -3/13 Let f be 4/2 + 24/(-11). Suppose -14 + 4 = -5*p. Let k = p - -2. What is the third smallest value in f, k, 1? k Let s = 8 - 10.4. Let i = s + 0.4. Which is the third biggest value? (a) 5 (b) i (c) -1/5 b Let c = 9 - 13. Let a(x) be the third derivative of x**4/24 - 3*x**3/2 + 3*x**2. Let s be a(7). What is the second biggest value in s, c, -1? s Let z = -2/105 - 19/105. What is the third smallest value in z, 0.036, 3/2? 3/2 Let i = 0.7 + -0.3. Let t = 1.4 - i. Let z = 78 - 77.9. What is the third biggest value in t, -0.2, z? -0.2 Let y = -18 - -18.7. Let r = -0.4 + y. What is the third biggest value in r, 0.4, -0.2? -0.2 Let o = -5 - -6. Let t = -0.6 - -2.1. Let x = t - o. Which is the third biggest value? (a) 5 (b) 2/11 (c) x b Let m be (1/2)/(-3 + 1). Which is the fourth smallest value? (a) -4 (b) 0 (c) m (d) 3 d Let b = -14 - -18. Let x = b - -1. What is the third biggest value in 2, x, -1? -1 Suppose -3*m + 0*m + 9 = 0. Which is the biggest value? (a) -1.3 (b) m (c) -0.2 b Let a be 0 + -1 - (-65)/15 - 3. What is the smallest value in -2/43, -1, a, -5? -5 Let o = 16 + -20. Let d be (1 - -1)*o/(-28). What is the third biggest value in -4, -2, d? -4 Let p = -10.6 - 4.3. Let t = p + 14. Let u = t + 0.5. Which is the biggest value? (a) -2/9 (b) u (c) -3/7 a Let y be (-240)/28 - (-6)/(-14). Which is the second biggest value? (a) y (b) -0.5 (c) -3/5 c Suppose -3*f + 0*f = 5*x - 14, x + 14 = 5*f. What is the third biggest value in -4, 0, x? -4 Let k = -0.2 + 0.3. Let y = k - 0.5. Let f = y + -0.1. Which is the third biggest value? (a) -3 (b) f (c) -2 a Let l be 3/3*2/6. Let z = -0.2 - -0.2. What is the third smallest value in -0.3, z, l? l Let l = -0.2 + -0.3. Which is the third smallest value? (a) -4 (b) -1 (c) l c Let p = 0.04 - 0.34. Let o(u) = u + 5. Suppose 4*r = 8*r + 16. Let v be o(r). Which is the third smallest value? (a) p (b) v (c) 3 c Let i = -5 + 3. What is the smallest value in -1, i, -3? -3 Let j = 7 + -10. Let i be -2 + 60/(-81)*j. Let m = 0.02 - 3.02. What is the third biggest value in m, -1, i? m Let u = 17 - 1. Let x be (-2)/u*(-10)/5. Let p = -0.4 + 5.4. Which is the biggest value? (a) x (b) p (c) -5 b Let t be 2/(5/((-1785)/54)). Let n = 13 + t. Which is the second smallest value? (a) -5 (b) 0.2 (c) n c Let n(k) = k. Let j be n(3). Let s = 6 - 3. Suppose g - 3*f - 2 = 0, -5*g - f - s*f + 10 = 0. Which is the second biggest value? (a) g (b) -0.5 (c) j a Let w = 3 - 2. Let o = -19 + 16. Which is the third biggest value? (a) o (b) w (c) 0.5 a Let l be 484/(-7)*(-4)/8. Suppose -2*q - q + 105 = 0. Let k = l - q. What is the third smallest value in k, -6/11, -0.3? -0.3 Let t be (-7)/(49/(-18)) + -3. Let z be -1 + 3/9 + -1. Which is the smallest value? (a) t (b) -1/2 (c) z c Let t = -0.1 + -2. Let k = t + 2. Which is the third smallest value? (a) 0.4 (b) k (c) -2/19 a Let d = 4.9 + 1.1. Let a = d + -5.6. What is the second biggest value in a, -0.2, 3? a Let s = 1.2 - 1.6. Let j = 9 + -6. Which is the third smallest value? (a) 2 (b) s (c) j c Let n be (6/(-32))/(2/8). Let d = 2.7 + -2.2. Which is the biggest value? (a) n (b) 1 (c) d b Let f = 12 + -9. Which is the second biggest value? (a) -4 (b) -0.5 (c) f b Let h = 5.4 + -1.4. Let d = 0.1 - 0.2. Which is the second smallest value? (a) d (b) h (c) -1 a Let c = -1.11 + -0.09. Let a = 0.8 + c. What is the third smallest value in a, -0.3, -1? -0.3 Let l = 16 + -14. What is the third smallest value in 0, l, -3? l Let z = 11.88 + 0.12. Let l = 9 - z. Which is the third smallest value? (a) l (b) 2 (c) 0.4 b Let b(q) = -3*q - 63. Let n be b(-20). Let m be (2/20)/((-1)/(-2)). What is the biggest value in m, n, 3? 3 Let v(h) = h**2 + 22*h + 17. Let s be v(-21). What is the third smallest value in 1/3, s, 0? 1/3 Let o = -2.94 + -0.26. Let v = o + 3. Let n = -15 + 13. What is the biggest value in n, 1/5, v? 1/5 Let l = -0.134 - -0.034. Which is the third biggest value? (a) l (b) -2 (c) 3/8 b Let l = -177 - -180. Let i = 0.05 + 1.95. Which is the third biggest value? (a) i (b) -0.2 (c) l b Let f be 60/70*7/4. Let l = -82/51 - 1/17. What is the biggest value in -4, f, l? f Let k = 0 + -0.2. Let w = -0.011 - -0.411. Which is the third smallest value? (a) k (b) 2 (c) w b Let p = -9.77 + 9.3. Let j = -0.03 + p. Let f = 0 + j. Which is the second biggest value? (a) 2/7 (b) f (c) -1 b Let m = 7 - 6.95. Let g = -4.95 - m. Let c be (1/(-2)*3)/(-9). What is the second biggest value in g, -0.3, c? -0.3 Let c = 62.8 + -63. What is the third smallest value in 1/4, -15, c? 1/4 Let t = 18 + -14. What is the second biggest value in 0, t, 1? 1 Let g = -9 - 3. Let j be (-6)/g*1*-1. Let n = -2.6 + 3. Which is the third smallest value? (a) -4 (b) n (c) j b Let b = 6.06 + -1.06. What is the third biggest value in 0, b, 0.3? 0 Let r = -387/40 - -49/5. Let p = -11 + 8. Let f = -3.5 - p. Which is the third biggest value? (a) 5/4 (b) r (c) f c Suppose -h - 1 = -3. Let n = 0.744 - 0.044. Which is the third smallest value? (a) h (b) 3 (c) n b Let f = 6.9 + -2.9. What is the third biggest value in -1/36, f, 2? -1/36 Let q = -33 + 46. Let x = q - 13.1. Which is the second biggest value? (a) 4 (b) -2 (c) x c Suppose 87 = 5*c + 3*p, -3*p = -5*c + 4*c + 21. Let a be 2/(-10) + c/30. What is the second smallest value in -4, a, -2? -2 Let p = 0.719 - 0.119. What is the third biggest value in p, 5/6, -2/11, -0.4? -2/11 Suppose 2*y - 36 + 10 = -5*g, 3*g + 3*y - 12 = 0. Let f = g - 2. Let k = -6 + f. Which is the smallest value? (a) k (b) -1 (c) 1/5 a Let m = 10 - 10. Let a = 0.4 + 0. What is the third biggest value in m, -2/9, a? -2/9 Let a = 10 + -5. Let p = a + -3. Let h = 1 + p. What is the third smallest value in 0, 5, h? 5 Let u = -0.7 - -0.2. Which is the second biggest value? (a) -5/6 (b) -2/3 (c) u b Suppose -12 = -6*a + 2*a. Suppose -5 = -k - a. What is the third biggest value in k, -0.5, 1/11? -0.5 Let m = 19 + -24. Which is the second biggest value? (a) -2/5 (b) m (c) 1 (d) 0.3 d Suppose 4*d - 56 = 5*q, 2*q = -4*d - 0*d. Let m = -11 - q. Let g be (m + 4)/((-3)/9). Which is the third biggest value? (a) -1 (b) g (c) -3/7 b Let x = -16 - -14. What is the biggest value in -3, x, 0.1? 0.1 Let u = -21/2 + 109/10. Which is the smallest value? (a) -10/9 (b) u (c) 4 a Let j = -6.1 + 5. Let g = j - 3.9. Which is the third smallest value? (a) 0 (b) g (c) 0.4 c Suppose -6*z - 3*z = 45. Which is the third smallest value? (a) -0.2 (b) -2/17 (c) -11 (d) z a Let q(i) = i**2 - i + 620. Let y be q(0). Let r
{ "pile_set_name": "DM Mathematics" }
(12446/15) Simplify ((x**(2/5))**21/((x**(4/3)*x)/(x*x/(x/x**(-1/5))*x)))/((((x/(((x*x**(2/5)*x)/x*x)/x))/x)/x)**20)**(-46) assuming x is positive. x**(-33002/15) Simplify ((h**0)**(1/41)*h**(-1/3)*h*h**(-3))/((h**(1/3)/h)**(-10/17)*h**(-1/4)/h**(-3/4)) assuming h is positive. h**(-329/102) Simplify ((((z/(z**(-7)/z))/z)/z)/z**(-1))**(3/8)*((z*z*z**(-2/25))/z*z*z**(-5))**(-28) assuming z is positive. z**(2231/25) Simplify ((i/(i*i**(-15)*i*i)*i/i**(-6))/(i*i**2/i)**(-43))**(16/3) assuming i is positive. i**(1696/3) Simplify ((u/(u*u**12)*u*u)**(5/4)*u**12*u/(u*u*(u**(-3/8)/u)/u*u))**(-3/11) assuming u is positive. u**(3/88) Simplify c**23*c/c**46*(c*c**(-10/9))**31 assuming c is positive. c**(-229/9) Simplify ((n**(17/3))**(-1/3)*n**33/n**12)**(-7/4) assuming n is positive. n**(-301/9) Simplify q**(1/7)*q**(-5/6)*(q**1)**(-6/11)*((q**(-1))**(-37))**(-3/19) assuming q is positive. q**(-62131/8778) Simplify (((w**4*(w**(-1/10)*w)/w)**(-5/12))**(-2/7))**(1/11) assuming w is positive. w**(13/308) Simplify ((b**0*b)**(2/17)*(b*b/((b/b**1)/b)*b)**(1/7))/(((b*(b**3*b)/b)/b**(-3/7))/(b**(4/7)*b**0)) assuming b is positive. b**(-377/119) Simplify ((((q*(q/(q**(-18)/q))/q)/q**17)**(-23/3))**(5/9))**(3/5) assuming q is positive. q**(-23/3) Simplify (((a/(a/a**3))/a)**24/(a*a*(a**14/a)/a*a**(-1/35)))**(-41) assuming a is positive. a**(-48831/35) Simplify ((((s*s**15*s)**(11/3))**(-50))**(-9))**(-16) assuming s is positive. s**(-448800) Simplify ((d**(2/7)/(d*d**1/d))/(d/(d/(d*d/(d/d**(-1))*d*d)*d)*d**(1/6)))/((d**4/(d/d**(-3/8)))/(d**(-5)/((d/(d*d**(-2/5)/d))/d*d*d))) assuming d is positive. d**(-10001/840) Simplify ((b**26*b/b**17)/(b/((b*b*b/b**(4/7))/b*b)*b**(2/41)))**(-3/5) assuming b is positive. b**(-9798/1435) Simplify (c*c*c**(-3/2)*c)/(c*c*c**(-33))*c**(-26/3)/(((c*c**(-18))/c)/c*c) assuming c is positive. c**(251/6) Simplify (o**(24/11)*o)**(2/51)*o**(-33)*(((o**(-3/5)*o)/o)/o)/o assuming o is positive. o**(-99508/2805) Simplify ((s/s**(-12))/(s**(2/19)/s)*(s**(-2/9)/s)**37)**32 assuming s is positive. s**(-171424/171) Simplify ((z**(2/95)*(z*z**26)/z)/(z**(-1/4))**26)**(-2/69) assuming z is positive. z**(-6179/6555) Simplify (p**(-1/2)*p/(p/p**(-6)))/(p**(-2/5)*p)**(37/4)*p**7*p**4*(p**(1/12)/p)/p*p**(-1)/p*p assuming p is positive. p**(-119/30) Simplify (b**(-2/7)*b*b**(-6/11)*(b**2)**(-2))/((b**(-3/8)/(b/b**3))/(b**(-2/7)*(b*b**9*b)/b*b)) assuming b is positive. b**(3239/616) Simplify (((j*j/(j/j**(-2/3))*j)/j*j**(-2)*j)/((j*(j/(j/((j*j*j**4)/j*j))*j*j*j)/j)/(j*j/j**6)))/(j**0*j*j**(-1)*j*j*j**5/j*j**(-7)) assuming j is positive. j**(-38/3) Simplify (h**3/(h*h*h/(h**5/h)*h))**(12/5)/((h**(-2/5))**(2/29)*h**2/(((h**(-8)/h)/h)/h)) assuming h is positive. h**(-837/145) Simplify ((p*p**(7/5))/p**(2/5))**(8/15)/(p/(p*p**(6/5)*p*p)*p/p**(-1))**(-49) assuming p is positive. p**(-866/15) Simplify (((l**1*l)**(-1/8)/(l/l**2*l**(-3/7)))**29)**(-50) assuming l is positive. l**(-23925/14) Simplify (s/(s*s/s**(1/4)*s))**(-23)*(s*(s**(2/23)*s)/s)/(s/s**(-2/19)*s*s)*s**4/(s**(2/9)*s*s)*(s*s**(2/17))/(s**(-1/2)/s) assuming s is positive. s**(11400367/267444) Simplify (b**(-2/7)/(((b**(-3/5)*b)/b)/b)*(b*b**(-2/9))**(29/5))**(-1/18) assuming b is positive. b**(-367/1134) Simplify (((w**(1/3)*w**(-4/5))/((w/w**0)/(w/w**(2/21))))**(-1/8))**(4/9) assuming w is positive. w**(59/1890) Simplify ((y*(y*y*y**(-1)/y)/y*y)**10)**(-16)/(((y/(y*y*y**(-1)))/(y**0*y*y))/(y**(-2/7)/y**0)) assuming y is positive. y**(-1108/7) Simplify ((((j*j**34/j)/j)**(-1/39))**14)**(-13) assuming j is positive. j**154 Simplify (b**(-2/11)*b*b/(b*b**(-4)*b*b*b)*b*(b**(3/7)/b)/((b**2/b)/b))/(((b/(b/(b*b**(-1/7))))/b**0)/(b**(-2/11)*b/b**(-3))) assuming b is positive. b**(401/77) Simplify (u**(-2/5)*u/(u*u*u/(u**(2/7)*u)*u))**(34/5)*((u/(u**6*u))/u**(-2/5))/((u**5*u)/(u**(-1/7)/u*u)) assuming u is positive. u**(-653/25) Simplify ((m*m**(-4)/m*m)/(m**(1/5)*m)*(m**(-1))**(-1/17))/(m*m**(-1/6)*m*(m*m**(1/4)/m)/m)**7 assuming m is positive. m**(-11959/1020) Simplify ((h*h*(h**(-1/18)/h*h)/h)/h*h**(-7/2)*h**(-16)*(h/(h*h**12))/h)**(18/11) assuming h is positive. h**(-586/11) Simplify ((q*q/q**(-2/3)*q)**24/(q/q**(-2)*q*q**(3/7)))**2 assuming q is positive. q**(1170/7) Simplify ((b*b*(b**(2/49)*b)/b)/b**(-2))**(34/7)/((b*b/(b**(-1)/b)*b*b)/b**(-7)*(b**(1/5))**(-15)) assuming b is positive. b**(3302/343) Simplify ((i*i**12*i*i*i/i**(-17))/((i/(i**(-16)/i))/i*i**(2/3)))**(2/13) assuming i is positive. i**(92/39) Simplify (r*r**(-3)/r*r/(r**(-6)*r))/(r**(-1)/r)**4*(r*r**(-1)*r)**49/(r**1)**(-12) assuming r is positive. r**72 Simplify ((m**(-36)/m)/(m*m/m**(2/25)*m)*(m/(m**(-1/19)/m))/(m/(m**(-2/49)*m)))**(3/41) assuming m is positive. m**(-2646939/954275) Simplify (v/v**(2/3)*v)**(1/21)/(v*v/(v*v**(2/15))*v*v/v**(-9)*v)*((v/(v*v/(v/(v*v**(-2/21)))*v*v))/v*v**(-10/9))**(-48) assuming v is positive. v**(71807/315) Simplify ((k/(k/(k*k**0)))/k**(-9)*(k/(k/(k*k/(k/(k/(k*k**(-15))))*k)))/(((k**(-13)/k)/k)/k))**18 assuming k is positive. k**774 Simplify ((c**(1/10)/(c**(5/7)/c))/(c**(-1/7))**(-2/35))**(3/35) assuming c is positive. c**(111/3430) Simplify (((v*v*v/((v**(1/3)/v)/v))**(-6)*(v**(1/4)/v)**(-1/8))**44)**(1/6) assuming v is positive. v**(-9823/48) Simplify (v**(4/3)*v**(-9/5))/(v**(-1/31)*v/v**(-21)) assuming v is positive. v**(-10432/465) Simplify q*q*q*q/(q/(q/q**(-2))*q*q*q)*q*q**(-2/13)*q*(q/(q**(-2/3)/q))**(5/3)*((q*q**(-1/2))/q)**(-2/57)/((q**(1/5)*q)/(q/q**(-1/2)*q)) assuming q is positive. q**(235819/22230) Simplify ((r**(6/19)/r)/((r**(1/12)*r)/r)*r**(1/32)*r*r*(r/(r/(r**31*r)))/r*r)**(-50) assuming r is positive. r**(-1516825/912) Simplify ((a/a**(3/4))/a**(1/8))/(a**1)**(-2/125)*(((a*a**0)/a)/a*a**(1/4))**(-8) assuming a is positive. a**(6141/1000) Simplify (((i**(-1/3)*i)/i**(-3))/((i*i**(-1/3))/(i*i**(3/2))))/((i**2)**1*((i/(i/(i*i**(-2/25))))/i)/i**(-6)) assuming i is positive. i**(-121/50) Simplify ((l/(l**(4/7)/l)*l)/(l*l**(-3)*l))/(l**0)**33*(l**(-1/7)/l**(-1/4))/(l**6/(l*l**(3/2))) assuming l is positive. l**(1/28) Simplify t**(-43)/t*t/t**(2/71)*(t*t**(2/41))/t**38 assuming t is positive. t**(-232820/2911) Simplify (c**8/c*c)/(c*c**(-4))*(c**(-2/5))**30*((c**(-1)*c)/(c**(-2/13)/c))/(c**(-1))**(-10) assuming c is positive. c**(-128/13) Simplify ((k**11/(k**(5/6)*k))**(-8))**(-15/8) assuming k is positive. k**(275/2) Simplify l**(-30)*l**23*(l*l**(-48))/l*l*l*l/l**(1/13) assuming l is positive. l**(-677/13) Simplify m**(-1)*m/m**(-2/3)*(m/m**(-10))/(m/(m/(((m/(m/(m/(m**(-12/7)/m))*m))/m)/m))) assuming m is positive. m**(230/21) Simplify (i**6*i*(i/(i**(-22)*i))/i*i*i)/(i/i**5*i)**38 assuming i is positive. i**144 Simplify (i/(i*i**(-3)*i)*i*(i*i**(-4))/i)**(-2/5)/(((i*(i/(i/i**(-1))*i)/i)/(i/(i*i**6/i*i*i)))/(i**0*i**(1/6))) assuming i is positive. i**(-193/30) Simplify (l**(-1/10)/((l*l**(2/9)*l)/l*l))**50/((l**(-1/9)/l*l*l*l**(-3/4))/((l/((l*l/(l/(l/l**5)*l))/l*l))/(l**(4/7)*l))) assuming l is positive. l**(-3159/28) Simplify (c/c**(-2/27))**(-12)*c**39/(c/(c/(c/c**20)*c*c)) assuming c is positive. c**(424/9) Simplify ((j/(j**(4/9)/j)*j)**(-17)/(j**(1/6)/j)**2)**(-43) assuming j is positive. j**(16168/9) Simplify ((b**3/b)**(3/7))**(3/14)*(b**(2/3)*b)**25/(b**(2/7)/b**(2/15)) assuming b is positive. b**(10216/245) Simplify (p*p**(2/37)/p*p)/p**9*(p/((p/(p**4*p))/p))/p*p/(p/(((p*p*p**1*p*p)/p)/p))*(p*p**2*p/(p/(p**(-1)/p)))/((p**9/p)/p**2) assuming p is positive. p**(-183/37) Simplify (((n**(-5/4)*n/(n*(n**(-1)/n*n)/n*n))/(n*n**(-3/2)*n**(-1/2)))**(2/11))**10 assuming n is positive. n**(15/11) Simplify (((d*d**(-1/9))/d)**(-7/2)/((d*d/((d/(d*d**(1/8)))/d))/(d*d**(5/3)/d)))**(-19) assuming d is positive. d**(1463/72) Simplify (x**3/x*x**3*(x**1)**(1/17))/(x**(-3/5)*x/(x*x*x*x*x*x/((x**(-1/9)/x*x)/x)*x)*x**(-1/2)*x**(2/11)) assuming x is positive. x**(220273/16830) Simplify ((o*o*o**0*o*o)**35/(o**(-2/3))**(32/7))/((o**(-1/2)*o)/o**(-2/3))**47 assuming o is positive. o**(1235/14) Simplify (b**(-5)/b**(-2))/(b**1)**10*(b*b/(b/(b/(b/((b/(b/(b**(-6/11)*b)))/b))))*(b*b/(b/(b/(b*b**4)*b)))/b*b)/(b**(-4/3)*b**(-2/3)) assuming b is positive. b**(-138/11) Simplify (w**(-2/47)/(w/(w*w**7*w))*w**(16/7)*w*w/w**(-10))**(3/5) assuming w is positive. w**(21954/1645) Simplify (o**0)**(-3/8)/
{ "pile_set_name": "DM Mathematics" }
2. 2, 13, 332892257 List the prime factors of 36993911. 71, 521041 What are the prime factors of 1291875? 3, 5, 13, 53 List the prime factors of 75672978. 2, 3, 1019, 12377 What are the prime factors of 410291856? 2, 3, 13, 61, 3593 What are the prime factors of 1821537027? 3, 202393003 List the prime factors of 122432047. 4177, 29311 List the prime factors of 87968687. 29, 3033403 What are the prime factors of 1597359594? 2, 3, 353, 754183 What are the prime factors of 1217427483? 3, 83, 4889267 What are the prime factors of 147916184? 2, 13, 17, 83663 List the prime factors of 5221450185. 3, 5, 7, 449, 110753 List the prime factors of 1202789976. 2, 3, 431, 116279 List the prime factors of 12428683. 17, 491, 1489 What are the prime factors of 2025718781? 2025718781 List the prime factors of 1992938331. 3, 809, 821153 What are the prime factors of 33036633? 3, 7, 24971 List the prime factors of 1425304763. 31, 163, 282071 What are the prime factors of 363778119? 3, 40419791 What are the prime factors of 383456899? 7, 7825651 What are the prime factors of 5214359338? 2, 28559, 91291 What are the prime factors of 49325610? 2, 3, 5, 587, 2801 What are the prime factors of 1295677612? 2, 31, 10449013 List the prime factors of 710519949. 3, 59, 137, 9767 List the prime factors of 4005670. 2, 5, 103, 3889 List the prime factors of 32019786. 2, 3, 239, 827 What are the prime factors of 618105034? 2, 1993, 155069 List the prime factors of 68657013. 3, 19, 331, 1213 List the prime factors of 2591101475. 5, 103, 1006253 List the prime factors of 37701598. 2, 11, 1713709 What are the prime factors of 3963884109? 3, 1321294703 What are the prime factors of 211640390? 2, 5, 13, 125231 List the prime factors of 27933306. 2, 3, 19, 245029 List the prime factors of 46056762. 2, 3, 31, 1019 What are the prime factors of 707429030? 2, 5, 7, 11, 571, 1609 What are the prime factors of 186191486? 2, 13, 23, 503, 619 List the prime factors of 51778671. 3, 7, 2465651 What are the prime factors of 261283838? 2, 1483, 88093 What are the prime factors of 945220780? 2, 5, 7, 29, 79, 421 List the prime factors of 133385456. 2, 8336591 List the prime factors of 2126103608. 2, 265762951 What are the prime factors of 1046932490? 2, 5, 19, 79, 3671 What are the prime factors of 246256867? 37, 6655591 List the prime factors of 38311280. 2, 5, 7, 37, 43 List the prime factors of 242416484. 2, 769, 78809 List the prime factors of 225134366. 2, 17, 29, 228331 What are the prime factors of 1204734545? 5, 7, 139, 247633 What are the prime factors of 94715548? 2, 353, 67079 What are the prime factors of 57535632? 2, 3, 7, 11, 5189 List the prime factors of 1243468590. 2, 3, 5, 7, 13, 31, 2099 What are the prime factors of 5219126287? 103, 947, 53507 What are the prime factors of 1381485792? 2, 3, 14390477 List the prime factors of 776902551. 3, 258967517 List the prime factors of 416742238. 2, 11, 19, 29, 31, 1109 What are the prime factors of 2187009885? 3, 5, 43, 367, 9239 List the prime factors of 51547135. 5, 61, 169007 List the prime factors of 3969387. 3, 441043 List the prime factors of 222442962. 2, 3, 7, 347, 15263 List the prime factors of 221733830. 2, 5, 229, 96827 List the prime factors of 40672872. 2, 3, 181, 3121 What are the prime factors of 555499989? 3, 11, 510101 List the prime factors of 76891833. 3, 17, 599, 839 What are the prime factors of 321893743? 43, 7485901 List the prime factors of 79635697. 367, 216991 List the prime factors of 239703488. 2, 67, 55901 List the prime factors of 1930283239. 29, 41, 1623451 List the prime factors of 193412462. 2, 96706231 List the prime factors of 47843599. 101, 641, 739 List the prime factors of 5154321470. 2, 5, 515432147 What are the prime factors of 1755352137? 3, 7, 11, 691, 1571 List the prime factors of 480701715. 3, 5, 13, 73, 33769 List the prime factors of 68875192. 2, 271, 31769 List the prime factors of 59406008. 2, 19, 390829 List the prime factors of 639705452. 2, 19, 41, 205297 List the prime factors of 4753777. 7, 679111 What are the prime factors of 77235332? 2, 3637, 5309 List the prime factors of 538245524. 2, 107, 631, 1993 What are the prime factors of 395719130? 2, 5, 73, 542081 List the prime factors of 28512660. 2, 3, 5, 11, 43201 List the prime factors of 2607497191. 13, 397, 505231 List the prime factors of 1485751063. 67, 22175389 List the prime factors of 1722011120. 2, 5, 21525139 What are the prime factors of 778684869? 3, 37, 653, 3581 List the prime factors of 6032039304. 2, 3, 181, 211, 6581 What are the prime factors of 50613404? 2, 79, 160169 What are the prime factors of 129529208? 2, 167, 96953 List the prime factors of 46424396. 2, 23, 53, 9521 List the prime factors of 2212869020. 2, 5, 110643451 What are the prime factors of 91564935? 3, 5, 7, 11, 7207 What are the prime factors of 31153441? 11, 2832131 List the prime factors of 102925907. 7, 19, 773879 List the prime factors of 8514233. 7, 13, 93563 List the prime factors of 27481207. 13, 2113939 What are the prime factors of 34672651? 13, 127, 21001 List the prime factors of 74102471. 97, 763943 What are the prime factors of 1499950618? 2, 4409, 170101 List the prime factors of 51934387. 51934387 What are the prime factors of 665200544? 2, 101, 205817 List the prime factors of 1588171992. 2, 3, 11, 6015803 What are the prime factors of 421747853? 41, 10286533 List the prime factors of 467263633. 467263633 List the prime factors of 138780611. 113, 1228147 List the prime factors of 328212817. 328212817 List the prime factors of 108495297. 3, 653, 18461 List the prime factors of 287617275. 3, 5, 11, 79, 1471 What are the prime factors of 3159259958? 2, 107, 281, 491 What are the prime factors of 2187732273? 3, 1427, 511033 What are the prime factors of 321483429? 3, 907, 39383 What are the prime factors of 277154083? 19, 113, 129089 List the prime factors of 367457552. 2, 7, 11, 298261 List the prime factors of 2636376452. 2, 47, 14023279 List the prime factors of 3625067. 19, 190793 List the prime factors of 1424535603. 3, 2003, 237067 What are the prime factors of 23175588? 2, 3, 1931299 List the prime factors of 1419533914. 2, 193, 3677549 List the prime factors of 385073846. 2, 61, 137, 23039 List the prime factors of 82481865. 3, 5, 311, 17681 What are the prime factors of 19872380? 2, 5, 11, 59, 1531 List the prime factors of 42620841. 3, 1409, 3361 What are the prime factors of 127666138? 2, 3469, 18401 What are the prime factors of 18314414? 2, 523, 17509 List the prime factors of 27245242. 2, 47, 289843 What are the prime factors of 2786892035? 5, 131, 4254797 What are the prime factors of 2272846706? 2, 13, 23, 107, 35521 What are the prime factors of 1325018238? 2, 3, 19, 41, 283487 What are the prime factors of 305695161? 3, 19, 79, 397 List the prime factors of 176132470. 2, 5, 19, 927013 List the prime factors of 117376993. 17, 61, 113189 List the prime factors of 437971744. 2, 7, 83, 23557 List the prime factors of 31612519. 2309, 13691 List the prime factors of 899776440. 2, 3, 5, 83, 30113 What are the prime factors of 554934843? 3, 19, 37, 139, 631 List the prime factors of 7123939321. 571, 12476251 What are the prime factors of 5298126686? 2, 401, 6606143 List the prime factors of 12892398. 2, 3, 2148733 What are the prime factors of 1869063326? 2, 13, 19, 137, 27617 What are the prime factors of 99090324? 2, 3, 917503 List the prime factors of 6410702176. 2, 17, 11784379 What are the prime factors of 69600743? 19, 3663197 What are the prime factors of 51715601? 7, 7387943 What are the prime factors of 41541627? 3, 13847209 List the prime factors of 6466716. 2, 3, 6653 List the prime factors of 49957654. 2, 24978827 What are the prime factors of 226432446? 2, 3, 1831, 20611 What are the prime factors of 3311082224? 2, 31, 6675569 What are the prime factors of 10516974? 2, 3, 13, 109, 1237 List the prime factors of 1978182070. 2, 5, 53, 70423 List the prime factors of 3646180914. 2, 3, 653, 853, 1091 List the prime factors of 24450764. 2, 13, 470207 What are the prime factors of 102028029? 3, 34009343 What are the prime factors of 242241925? 5, 17, 19, 131, 229 List the prime factors of 1123787375. 5, 313, 28
{ "pile_set_name": "DM Mathematics" }
e the second derivative of -37*q**4/4 + 65*q**2/2 - 29*q - 1. What is the first derivative of b(p) wrt p? -222*p Differentiate 656 + 3*c**2 - 44*c - 72*c - 346 - 4*c**2 wrt c. -2*c - 116 Let k(r) = -59*r**2 + 12*r + 318. Let u(o) = -o**2 + 2*o + 1. Let j(n) = k(n) - 6*u(n). Find the first derivative of j(x) wrt x. -106*x Let i(g) be the first derivative of 37/2*g**2 + g + 1/3*g**3 - 2 + g**4. What is the second derivative of i(k) wrt k? 24*k + 2 Let c(d) = -110*d - 3. Let g be c(-2). Find the second derivative of -g + 17*i**4 + 217 - 17*i wrt i. 204*i**2 Let p(f) be the third derivative of -269*f**7/210 - 7*f**4/12 + f**3/3 - 114*f**2. What is the second derivative of p(z) wrt z? -3228*z**2 Let b = -26 - -20. Let m(o) = -6*o**2 - 2*o + 6. Let a(w) = -6*w**2 - w + 7. Let c(f) = b*a(f) + 7*m(f). What is the second derivative of c(p) wrt p? -12 Let f(k) be the third derivative of 0*k + 25/24*k**4 + 18*k**2 + 0*k**5 + 0*k**3 + 1/48*k**8 + 0*k**6 + 0*k**7 + 0. What is the second derivative of f(g) wrt g? 140*g**3 What is the second derivative of 12*m + 11*m - 28*m + 85*m**3 - 27*m**3 wrt m? 348*m Let v(z) = -9*z**2 + 1. Let g be v(-1). Let s be g/(-3)*(-12)/(-8). Find the first derivative of -1 - 4*n**4 - 5*n**4 + 5*n**s wrt n. -16*n**3 Suppose 4 = 5*n + 2*c - 4, 5*n + 4*c = 6. Differentiate -p**2 + 11*p**2 + 21*p**n - 11 wrt p. 62*p Find the third derivative of -43*s**6 + 1911*s**2 + 4*s**5 - 1862*s**2 - 2*s**5 wrt s. -5160*s**3 + 120*s**2 Let p(d) = d**3 - 3*d**2 - 3. Let c be p(4). Suppose -c = -3*s - 1. Find the second derivative of 5*y + 9*y**s - 2*y - 6*y**4 + 2*y wrt y. 36*y**2 Let y(g) be the third derivative of g**7/105 + 11*g**6/120 + 43*g**5/30 + 10*g**2. What is the third derivative of y(p) wrt p? 48*p + 66 Let y(q) be the third derivative of -11*q**8/16 + q**5/4 - 97*q**2. Find the third derivative of y(s) wrt s. -13860*s**2 Let s(p) = -2250*p**2 + 2148*p - 70. Let o(m) = 750*m**2 - 716*m + 25. Let j(r) = 14*o(r) + 5*s(r). Find the second derivative of j(d) wrt d. -1500 Suppose 4*c - 2*l - l - 50 = 0, -2*c + 3*l = -22. Find the third derivative of 3*b**4 - c*b**4 - 5*b**2 - b**2 wrt b. -264*b Let k = 204 + -195. Let c be (-2)/((-2)/2)*2. What is the first derivative of -k*n**4 + 4 + 7*n**4 + c wrt n? -8*n**3 Find the second derivative of 2*a**2 - 5*a - 9 - 1174*a**3 - 1174*a**3 - 4 + 2347*a**3 + 0*a**2 wrt a. -6*a + 4 Let n(i) = -25*i**4 + i**2 - 3*i + 17. Let z(r) = -50*r**4 + 3*r**2 - 7*r + 33. Let p(q) = 7*n(q) - 3*z(q). Differentiate p(v) with respect to v. -100*v**3 - 4*v Let i(w) be the second derivative of 0*w**6 + 0*w**5 + 2*w + 5/28*w**8 + 0 + 0*w**7 - 1/6*w**4 + 0*w**3 + 0*w**2. What is the third derivative of i(q) wrt q? 1200*q**3 Let s(j) be the first derivative of j**6/15 + 23*j**4/12 - 45*j + 44. Let i(x) be the first derivative of s(x). Find the third derivative of i(b) wrt b. 48*b Let i be 36/(-3) + 0 + -4. Let d be (-39)/26*i/6. What is the second derivative of 17*l**3 - 8*l**3 + d*l - 11*l**3 wrt l? -12*l Let g(x) be the second derivative of 0*x**5 + 0*x**2 - 7/6*x**4 + 0*x**3 + 10*x + 0 + 1/10*x**6. What is the third derivative of g(c) wrt c? 72*c Let y(n) = 324*n**2 + 2*n - 98. Let w(d) = -2*d - 1. Let q(j) = -3*w(j) - 3*y(j). What is the derivative of q(r) wrt r? -1944*r Suppose -5*n = -4*f + 19, -n + 0*f = -f + 4. Let s = n + 6. Find the third derivative of -z**3 - 2*z**4 - z**s - 4*z**2 + 2*z**3 wrt z. -48*z What is the second derivative of 19*o + 1019 + 158*o**3 + 60*o - 1020 + 106*o + 83*o wrt o? 948*o Let l(h) be the third derivative of -h**8/168 - 11*h**5/15 + h**4/6 - 104*h**2. Find the second derivative of l(o) wrt o. -40*o**3 - 88 Let p(l) be the second derivative of 67*l**4/12 + 3*l**3 - l**2 - 29*l - 2. What is the second derivative of p(h) wrt h? 134 Let q = 20 + -15. Find the second derivative of -9*v + 2*v + 6*v**q - 7*v + 8*v**5 wrt v. 280*v**3 Let u be (-4 - 1) + 3 + 8. Find the third derivative of 4*m**6 + m**6 + 15*m**2 - 4*m**u + 14*m**6 wrt m. 1800*m**3 Let g(w) be the first derivative of -13/4*w**4 + 3 - 5*w + 0*w**3 + 0*w**2. What is the first derivative of g(q) wrt q? -39*q**2 Let d(h) be the second derivative of h**6/6 - h**4/2 - 65*h**2/2 + 15*h. What is the derivative of d(l) wrt l? 20*l**3 - 12*l Let u(o) be the first derivative of -56*o**3/3 + o**2/2 - 18*o - 62. Find the second derivative of u(b) wrt b. -112 Let y(h) be the third derivative of -68*h**5/15 + h**4/2 + 5*h**3/6 + 30*h**2 + 3. What is the second derivative of y(s) wrt s? -544 Let d(c) be the first derivative of 5*c**6 + 23*c**2 + 26. Find the second derivative of d(i) wrt i. 600*i**3 Let o(w) be the first derivative of 3*w**8/560 - 23*w**4/24 - 14*w**3/3 + 4. Let j(g) be the third derivative of o(g). Differentiate j(f) wrt f. 36*f**3 Suppose 5*k = -4*u + 28, -36*k = -4*u - 32*k - 8. Let f(t) be the first derivative of -5/2*t**u + 2 + 2*t**3 + 0*t. Find the second derivative of f(d) wrt d. 12 Let d(v) be the third derivative of -11*v**6/24 - v**4/12 + 3*v**3 - 176*v**2. Find the second derivative of d(j) wrt j. -330*j Find the first derivative of 73 - o**3 - 183*o**4 + 35*o**4 + 286 - 32 wrt o. -592*o**3 - 3*o**2 Let l be 24 + (114/95 - 4/(-5)). What is the second derivative of -39*h - 8*h**4 + l*h - 8*h**4 wrt h? -192*h**2 Suppose 38 = -2*x + 68. What is the derivative of -x - 2*g + 4 + 6 - 8*g wrt g? -10 Let a = 637 + -635. Let q(n) be the first derivative of 7/4*n**4 + 6 + 0*n**3 - 4*n**a + 0*n. Find the second derivative of q(i) wrt i. 42*i Let t(k) be the second derivative of k**6/10 - 43*k**5/20 - 647*k**3/6 - 708*k. What is the second derivative of t(u) wrt u? 36*u**2 - 258*u Let d(i) = -552*i - 1252. Let u(r) = 184*r + 419. Let x(f) = 4*d(f) + 11*u(f). What is the derivative of x(l) wrt l? -184 What is the third derivative of 42*m**3 - 20*m**3 + 29*m**2 + 67*m**2 + 50*m**3 wrt m? 432 Let u(z) = 7*z**2 + z + 1. Let j(y) = 28*y**2 + 4*y + 26. Let d(l) = j(l) - 6*u(l). Differentiate d(k) with respect to k. -28*k - 2 Suppose -2 = -44*c + 43*c. Let l(i) be the first derivative of 0*i - 1/2*i**c + 0*i**3 - 3/2*i**4 + 1. Find the second derivative of l(g) wrt g. -36*g Let b = -27 + 23. Let w be (b + -5)/(-3 + 2). Find the third derivative of -2*i**2 + 14*i**5 - 23*i**5 + 2*i**6 + w*i**5 wrt i. 240*i**3 Let j = 24 + -40. Let n = 19 + j. What is the third derivative of -4*y**2 - 4*y**3 + 3*y**3 + 0*y**n + 0*y**2 wrt y? -6 Let g = -564 - -568. Let d(f) be the second derivative of 0*f**g + 0 + 0*f**2 + 3*f - 1/20*f**5 + 1/3*f**3. What is the second derivative of d(h) wrt h? -6*h Let u(a) = 104*a**2 + 10*a + 66. Let r(m) = -105*m**2 - 12*m - 67. Let f(n) = 5*r(n) + 6*u(n). Differentiate f(g) with respect to g. 198*g What is the first derivative of 71 + 0*i**4 + 131*i**3 - 2*i**4 - 6*i**4 + 2*i**4 + 7*i**4 wrt i? 4*i**3 + 393*i**2 Let k = 9 - 24. Let v = k - -20. Find the first derivative of 7*c**2 - 2*c**2 + v - 1 wrt c. 10*c Let x(w) = 140*w**2 + 97*w + 4. Let a(n) = -139*n**2 - 98*n - 3. Let j(k) = -4*a(k) - 3*x(k). What is the second derivative of j(r) wrt r? 272 Let t be (-345)/(-75) - 2/(-5). Suppose 4*q = -4*z - 0*z, -t*q - 2*z = -15. What is the second derivative of q*g + 8*g**3 + 0*g - 5*g**3 wrt g? 18*g Let o(j) = -j + 4. Let v be o(-1). Suppose 2 - v = -a. Differentiate 5*r**3 - 2*r**a - 4*r**3 + 8 + 6*r**3 wrt r. 15*r**2 Let y(l) = -58*l**2 - 4*l - 111. Let x(u) = 58*u**2 + 5*u + 114. Let n(k) = 4*x(k) + 5*y(k). Differentiate n(r) with respect to r. -116*r Let v(t) = 12*t - 5. Let l be v(2). What is the derivative of l - 17*m**2 + 10*m**2 + 0*m + 0*m wrt m? -14*m Let t(k) be the second derivative of -k**5/10 - 25*k**4/6 - 245*k**3/6 - 175*k. Find the second derivative of t(w) wrt w. -12*w - 100 Let y(s) be the second derivative of -32*s - 10/3*s**3 + 0 + 0*s**4 - 3/2*s**5 + 0*s**2. What is the second derivative of y(h) wrt h? -180*h Let w(b) be the second derivative of -11*b**6/10 - 79*b**2/2 - 158*b. Find the first derivative of w(k) wrt k. -132*k**3 Suppose -15 = -w - 5*d, 5*d - 6 + 1 = w. What is the third derivative of -w*v**2 + 7*v**2 - 10*v**2 - 10*v**6 - 8*v**2 wrt v? -1200*v**3 Suppose -5*k + o = 5*o - 27, -2*o + 12 = 2*k. Let d be (1 + -1)/(-2) - -2. What is the second derivative of k*v + 4*v + 6*v**d +
{ "pile_set_name": "DM Mathematics" }
e terms in -54*l**2 + 51*l**2 - 103*l**2 - 44*l**2. -150*l**2 Collect the terms in -t - 134502 + 134502. -t Collect the terms in -2*d + 14*d + 0*d. 12*d Collect the terms in 6*m**3 - 35594*m**2 + 35594*m**2. 6*m**3 Collect the terms in 26 + o**2 - 10 - 7 - 9. o**2 Collect the terms in -18*u**2 + 6*u**2 + 7*u**2 + 9*u**2. 4*u**2 Collect the terms in 32 + 5*i - 32 - 7*i. -2*i Collect the terms in 0*l**3 + 5*l**3 - 12 + 12. 5*l**3 Collect the terms in -15273 - 7*l + 15273. -7*l Collect the terms in 36 + 40 - 18*o**3 - 76. -18*o**3 Collect the terms in -5 + 7 - 11*o - 13*o. -24*o + 2 Collect the terms in 0*i**2 - 9*i**3 + 12*i**2 - 12*i**2 - 4*i**3. -13*i**3 Collect the terms in 3*z**2 - 7*z**2 - 2*z**2 + 3*z**2. -3*z**2 Collect the terms in -2*u**2 - 2*u**2 + 6*u**2 + 6*u**2. 8*u**2 Collect the terms in 11*i**2 + 4*i**2 + 2*i**2 - i**2 - 19*i**2. -3*i**2 Collect the terms in -1 - 26*y**3 - y**2 + 1. -26*y**3 - y**2 Collect the terms in -27 - 5*g + 0*g + 11 + 16. -5*g Collect the terms in h + 9 + 4 - 4. h + 9 Collect the terms in 590*n**2 - 64*n**2 + 247*n**2 + 975*n**2. 1748*n**2 Collect the terms in 5*o**2 + 5*o**2 + 2*o**2. 12*o**2 Collect the terms in 14*h**2 + 19*h**2 - 28*h**2. 5*h**2 Collect the terms in -4*p + 6*p - 21*p. -19*p Collect the terms in 28*v**3 + 17*v - 17*v - 29*v**3. -v**3 Collect the terms in -7*h - 16*h + 2 + 19*h - 2. -4*h Collect the terms in 3*m + m**2 - 20*m**2 - 3*m. -19*m**2 Collect the terms in -37*h**3 - 26*h**3 + 3 - 4. -63*h**3 - 1 Collect the terms in -28 - 2*f - 9*f + 4 + 3*f. -8*f - 24 Collect the terms in -41*d**3 + 93*d**3 - 54*d**3. -2*d**3 Collect the terms in 2*g - 19*g - 7*g. -24*g Collect the terms in -5*f**2 - 8*f**2 + 16*f**2. 3*f**2 Collect the terms in 150*z - 150*z - z**3. -z**3 Collect the terms in -4*w**2 + w**2 + 2*w**3 + 3*w**2 + 0*w**2. 2*w**3 Collect the terms in 9*j - 36*j + 9*j + 12*j. -6*j Collect the terms in -603 + 3*s**2 + 603 + 0*s**2. 3*s**2 Collect the terms in 29*p**2 - 381*p**2 + p**3 + 0*p**3. p**3 - 352*p**2 Collect the terms in 14 + 16 - 8 - 2*l - 5. -2*l + 17 Collect the terms in 2 - 4 - 33*l**2 + 31*l**2 + 57*l**2. 55*l**2 - 2 Collect the terms in 72*b + 61*b - 157*b. -24*b Collect the terms in 3741*s + 3745*s - 7489*s. -3*s Collect the terms in u**2 + 0*u**2 - 4*u**2. -3*u**2 Collect the terms in -6 + 2*v + 0*v + 1 + 5. 2*v Collect the terms in -11*r**3 - 21*r + 14*r - 21*r + 6*r**3. -5*r**3 - 28*r Collect the terms in -36270*g + 36270*g + g**2. g**2 Collect the terms in 256*n + 245*n - 500*n. n Collect the terms in -158*v - 164*v + 485*v - 163*v - 4*v**2 + 2*v**2. -2*v**2 Collect the terms in 1322*n + 8*n**2 - 1322*n - 7*n**2. n**2 Collect the terms in 8*w**2 - 21*w**2 + 15 - 15. -13*w**2 Collect the terms in o**3 - 63*o - 2*o**3 - 35*o. -o**3 - 98*o Collect the terms in 55*q + 22*q**2 - 55*q + 2. 22*q**2 + 2 Collect the terms in -16*j - 4*j + 18*j. -2*j Collect the terms in 26*n**2 - 3*n**2 - 20*n**2. 3*n**2 Collect the terms in -3 + 3 + 60269*z**2 - 60267*z**2. 2*z**2 Collect the terms in 0*d + 6*d - 3*d - 6*d. -3*d Collect the terms in w - w - 2*w - 4*w - w. -7*w Collect the terms in -4 - 46*k + 45*k + 4. -k Collect the terms in -45*a**3 + 66*a**3 - 23*a**3. -2*a**3 Collect the terms in 154862 + 8*h**2 - 154862. 8*h**2 Collect the terms in 48*b**3 + 69*b**3 + 33*b**3. 150*b**3 Collect the terms in 13*f**3 + 11 + 3 - 14. 13*f**3 Collect the terms in -3*f**2 + 2*f**2 - f**2. -2*f**2 Collect the terms in -35 - 11*q**2 + 19 + 16. -11*q**2 Collect the terms in -5*s + 2*s - 23*s - 23*s. -49*s Collect the terms in -2303 + 2303 + 6*n. 6*n Collect the terms in 261*y + 0 + 0. 261*y Collect the terms in 6*w + 22*w + 12*w - 2*w. 38*w Collect the terms in -109*i**2 - 103*i**2 - 123*i**2 + 116*i**2. -219*i**2 Collect the terms in 81*r - 604*r - 121*r. -644*r Collect the terms in 6*r**2 - 17*r**2 + 2 - 5. -11*r**2 - 3 Collect the terms in 7*r + 2*r + 9*r - 5*r. 13*r Collect the terms in -z - 4*z + 26 - 2 + z. -4*z + 24 Collect the terms in -10*w + 26*w - 10*w. 6*w Collect the terms in -3*j**3 + 247746170*j - 247746170*j. -3*j**3 Collect the terms in 266*w**2 + 4*w**3 - 135*w**2 - 131*w**2. 4*w**3 Collect the terms in -7*f**2 + 2*f**2 - 10*f**2. -15*f**2 Collect the terms in 5 - 5 + 2*k. 2*k Collect the terms in 134 + 2*b**3 - 68 - 66. 2*b**3 Collect the terms in 2 + 6903*f - 2 - 3450*f - 3451*f. 2*f Collect the terms in -16*y**3 - 82 + 82. -16*y**3 Collect the terms in 10*o + 39*o + 3*o - o. 51*o Collect the terms in 8 + 44*t**2 - 8. 44*t**2 Collect the terms in 11*g**3 + 2*g**3 + 9*g**3 - 16*g**3. 6*g**3 Collect the terms in 5*u + 1 - 1 + u**3 + 27*u. u**3 + 32*u Collect the terms in 6*h**2 - 2*h**3 + 35*h**2 + 0*h**3. -2*h**3 + 41*h**2 Collect the terms in -174*w**3 + 55*w**3 - 46*w**3 - 97*w**3. -262*w**3 Collect the terms in 2*n + 7*n + 3*n - 8*n. 4*n Collect the terms in 6*p - p - 5*p**2 - 16*p**2 - 5*p. -21*p**2 Collect the terms in -127*x + 2210*x + 255*x. 2338*x Collect the terms in -31*s**2 + 12*s**2 + 23*s - 23*s. -19*s**2 Collect the terms in -31*l**3 + 6*l**3 + 0*l**3 - 5*l**3. -30*l**3 Collect the terms in -u**3 - 22*u**3 + 0*u**3 + 11*u**3. -12*u**3 Collect the terms in 7*c**2 - 7*c**2 - 12*c**3. -12*c**3 Collect the terms in -5*o**2 + 24 - 24. -5*o**2 Collect the terms in -18 + 18 + 13*u**2 + 66*u**2. 79*u**2 Collect the terms in 8 + 5 + 12*d + 13*d. 25*d + 13 Collect the terms in 295948062*i - 295948062*i - i**3. -i**3 Collect the terms in -128*t**3 + 62*t**3 - 217*t**3. -283*t**3 Collect the terms in -18*p**2 + 35*p**2 - 21*p**2 - 5. -4*p**2 - 5 Collect the terms in 15*c**3 + 0*c**2 + 0*c**2 + c**3 - 2*c**3. 14*c**3 Collect the terms in -22*d**3 + 45*d**3 - 20*d**3. 3*d**3 Collect the terms in -5 - 9*c**3 + 2*c**3 - c**3 + 6. -8*c**3 + 1 Collect the terms in 10*o + 86*o**2 - 10*o. 86*o**2 Collect the terms in 296*a**2 - 4*a**3 - 296*a**2. -4*a**3 Collect the terms in 344*g - 193*g - 184*g. -33*g Collect the terms in -2267*k**3 + 2269*k**3 - 1 + 1. 2*k**3 Collect the terms in 35*u**3 + 1 - 13*u**3 - u**3. 21*u**3 + 1 Collect the terms in 38*s**2 - 48*s**2 - 3*s**2. -13*s**2 Collect the terms in 393*u**2 - 2*u + 2*u. 393*u**2 Collect the terms in c**2 + 145*c - 1 + 5 - 4. c**2 + 145*c Collect the terms in 0*x**3 + 267*x - 267*x - 2*x**3. -2*x**3 Collect the terms in 6558 - 6558 + z**2. z**2 Collect the terms in 11*w + 7*w + 5*w - 3*w. 20*w Collect the terms in -x - 254 - 254 + 508. -x Collect the terms in -20*v**2 + 21*v**2 + v**2. 2*v**2 Collect the terms in -4 + 130*t**3 + 6 - 2. 130*t**3 Collect the terms in -1 - 29 - 13*g + 11*g. -2*g - 30 Collect the terms in 2*q**3 - 57285*q + 57285*q. 2*q**3 Collect the terms in -100 - 2*l + 431 + 270 - 18. -2*l + 583 Collect the terms in s**3 + 346*s - 5 + 5 + 31*s. s**3 + 377*s Collect the terms in 0*u**3 - u**2 - 23*u**3 + 0*u**3. -23*u**3 - u**2 Collect the terms in -788*c - 6*c**3 + 788*c. -6*c**3 Collect the terms in 49*f**2 - 25*f**2 - 21*f**2. 3*f**2 Collect the terms in -9*v + 49*v - 4 + 4. 40*v Collect the terms in -108*s**2 - 2*s - s + 2*s. -108*s**2 - s Collect the terms in 3*g**2 + 2*g**2 - 10*g**2 + 2*g**2. -3*g**2 Collect the terms in -8*r**3 + 5*r**3 + 3*r**3 + 4*r**3. 4*r**3 Collect the terms in 1441 + 29*u - 11*u - 1441. 18*u Collect the terms in o - 9*o**3 + 0*o - 11*o**3. -20*o**3 + o Collect the terms in 61*s - 738 - s + 738. 60*s Collect the terms in -f**3 + 3*f**3 - 130 + 130 - f**3. f**3 Collect the terms in 8*d**2 + 73*d - 73*d. 8*d**2 Collect the terms in 29*q - 12*q**2 - 29*q + 6*q**2 + 8*q**2. 2*q**2 Collect the terms in -16 + 28*o + 68 - 52. 28*o Collect the terms in 336*h**2 + 24*h - 24*h. 336*h**2 Collect the terms in -32*u**3 + 7*u**3 + 21*u**3 + 14*u**3. 10*u**3 Collect the terms in 79 - 79 - 4*x. -4*x Collect the terms in -56 - 51 + 107 - 4*d. -4*d Collect the terms in -4*m + 4*m + 1136*m**3 + 1117*m**3. 2253*m**3 Collect the terms in -15*v + 7*v - 11*v. -19*v Collect the terms in -86*l + 2 + 82*l - 2. -4*l Collect the terms in 548*h - 264*h - 275*h. 9*h Collect the terms in -4 + w**2 + 1 + 3 + 12*w. w**2 + 12*w Collect the terms in 39*o**2 - 70*o**2 + 54*o**2. 23*o**2 Collect the terms in 7*h**3 + 980*h - 497*h - 483*h. 7*h**3 Collect the terms in -7*a - 3*a + a + 14*a - 9*a. -4*a Collect the
{ "pile_set_name": "DM Mathematics" }
5*k**2*m*x + 5*k**2*x**2 - 524879*k*m**2 - 2*k*x + 3*x**2 wrt m. 26*k**2*x**2 - 1049758*k What is the second derivative of 8*f*q**2*x**3 + 2*f*q**2 - 2*f*q*x**2 - 2*f*x**3 + 9*f*x**2 + 13*f*x + 8146172*q**2*x + 2*q*x**3 - 705*q wrt q? 16*f*x**3 + 4*f + 16292344*x Find the second derivative of 372935925*k**3 - 691202*k - 251 wrt k. 2237615550*k What is the third derivative of -99178794*s**5 - s**2 + 36425316? -5950727640*s**2 Find the third derivative of 1046*h**2*k**3 + 2*h**2*k**2 + 17*h**2 - 204*h*k**3 - 330*h*k - 2*h + k**3 - 2*k**2 wrt k. 6276*h**2 - 1224*h + 6 What is the second derivative of 9861045*h**3*r**2 + 519614*h**3*r + 2*h**3 + 4*r wrt r? 19722090*h**3 What is the third derivative of 121177088*f**3 + 61167284*f**2 + 2*f + 2 wrt f? 727062528 Find the second derivative of -161276459*i**2 - 33568*i + 63 wrt i. -322552918 What is the second derivative of 6299604*y**2 + 5926289*y? 12599208 Differentiate -33105490*r + 23041505. -33105490 Find the third derivative of -54031*j**4*l**2 - 6043*j**4 + 445*j**2*l**2 + 70583*j*l wrt j. -1296744*j*l**2 - 145032*j What is the first derivative of 766008192*i**4 + 280697499 wrt i? 3064032768*i**3 Differentiate -23024295*q - 33269144. -23024295 Find the first derivative of -49*i**3*r**3 + 35585*i**3*r**2 + 9*i**3 + i**2 + 50104*i - 2 wrt r. -147*i**3*r**2 + 71170*i**3*r What is the second derivative of -31807921*o**3 - o - 3889030? -190847526*o What is the third derivative of -8224619*b**3 - 189*b**2 + 1314*b + 4? -49347714 What is the first derivative of -28290910*n**2 + 32024974 wrt n? -56581820*n What is the second derivative of 194847*n**3*x**3 + 2*n**3*x - 1917*n**3 + n**2*x + 56*n*x**3 - n*x + 1 wrt x? 1169082*n**3*x + 336*n*x What is the first derivative of 468545235*t + 989098635? 468545235 What is the derivative of -131*a**3 + 83*a**2 + 55*a - 1504135 wrt a? -393*a**2 + 166*a + 55 Find the third derivative of -36535582*d**5 + 915553*d**2 + 5*d wrt d. -2192134920*d**2 What is the second derivative of -54385264*x**2 - 4432323*x? -108770528 Find the second derivative of 77184239*l**2 + 2*l - 69897969. 154368478 Find the second derivative of 15988*q**4 - 8703*q**2 - 1280351*q + 60. 191856*q**2 - 17406 What is the second derivative of 381*l**3 + 295368*l**2*m + 51851982*l*m - m wrt l? 2286*l + 590736*m Find the third derivative of -t**3*z**3 - 5*t**3*z**2 + 106069*t**3 - t**2*z**3 - 4*t**2*z**2 - 19809*t**2 - 2*t*z**3 + 3*t wrt t. -6*z**3 - 30*z**2 + 636414 Find the third derivative of -39127148*h**4 - 45859919*h**2. -939051552*h Find the third derivative of 2766016*y**3 - 2983426*y**2. 16596096 What is the derivative of -560409103*z**3 + 149525212? -1681227309*z**2 Find the second derivative of -1185250*p**3 - 2*p**2 + 81528576*p. -7111500*p - 4 Find the second derivative of -34153584*v**2 - 113*v + 87297. -68307168 Find the third derivative of -14*j**3*n**3 + 726*j**3*n - 44*j**3 - 3*j**2*n**3 + 91*j**2 - 3*j*n**2 + 4268*n**3 wrt j. -84*n**3 + 4356*n - 264 What is the third derivative of -50438*p**6 - 2*p**5 - 53*p**3 + 2*p**2 - 2258070*p + 16? -6052560*p**3 - 120*p**2 - 318 Find the third derivative of 70026*j**6 - 84*j**4 - 10789*j**2 - 320*j wrt j. 8403120*j**3 - 2016*j What is the second derivative of -2*n**2*u**3 - 61337*n**2*u**2 + 1114*n**2*u - 7*n*u**3 - 22*n*u - 3*u - 2515 wrt n? -4*u**3 - 122674*u**2 + 2228*u What is the derivative of 4922*h*n**4 + 3*h*n**2 - 28450*h + 12*n**2 - 20 wrt n? 19688*h*n**3 + 6*h*n + 24*n What is the third derivative of 147462942*s**3 - 259518182*s**2 wrt s? 884777652 Find the third derivative of 477189*q**3 + 730208*q**2 wrt q. 2863134 What is the second derivative of 160899461*o**3 + 238*o - 143743 wrt o? 965396766*o Find the first derivative of -6930337*c**4 - 12158965. -27721348*c**3 Find the second derivative of a**2*c**2 + 14*a**2*c + 20007*a**2 + 177772*a*c**2 + 11*a*c + 87*c**2 - c wrt c. 2*a**2 + 355544*a + 174 Find the second derivative of 591441535*p*s**2 + 586*p*s + 2*p + 4*s + 1183 wrt s. 1182883070*p Find the third derivative of 365*p**5 + 27*p**4 - 588*p**3 - 16*p**2 + 10472175*p. 21900*p**2 + 648*p - 3528 What is the third derivative of -359*i*p**4 - 95*i*p**2 + i - 459*p**5 - p**4 + 2466*p**2 wrt p? -8616*i*p - 27540*p**2 - 24*p Find the second derivative of -248492052*m**4 - 4500291*m - 4 wrt m. -2981904624*m**2 Differentiate 46*b**4 + 784009*b**2*i + 2*b**2*o + 4688815*i*o + 57*o wrt b. 184*b**3 + 1568018*b*i + 4*b*o What is the third derivative of -142*h**4 + 12*h**3*s**2 + 28*h**3*s - h**2*s**2 + 4*h**2 - 26*h*s + 83*s**2 + 4*s wrt h? -3408*h + 72*s**2 + 168*s What is the derivative of -157013058*a**3 + 126115529? -471039174*a**2 Find the first derivative of -2*a**2*i**2 + a**2*x - 126527*a*x - 3*i**2*x - 303525*i**2 + 2*i*x + 2 wrt x. a**2 - 126527*a - 3*i**2 + 2*i What is the second derivative of -10485458*b*u**2 - 2*b*u + 20839876*u wrt u? -20970916*b Find the second derivative of -21*x**4 - 52518*x**3 + 2999687*x. -252*x**2 - 315108*x Differentiate -278856*b**2 - 818*b + 503066639. -557712*b - 818 What is the third derivative of 195*u**5 - 2*u**4 - 3341*u**3 + 15156320*u**2 wrt u? 11700*u**2 - 48*u - 20046 Find the third derivative of -334893990*r**5 - 4*r**2 - 27544382*r wrt r. -20093639400*r**2 What is the third derivative of 4*d**3*q + 938705*d**3 + 301*d**2*q - 26*d*q + 45*d wrt d? 24*q + 5632230 Differentiate -6567350*w - 6805461 wrt w. -6567350 Find the second derivative of -19*d**4 + 96*d**3 - 18*d**2 + 412439*d + 7 wrt d. -228*d**2 + 576*d - 36 Find the second derivative of 1448444*i*r**2 + 12326828*i*r + 2*r**2 wrt r. 2896888*i + 4 Differentiate a**3*y - 754569023*a**3 + 510317334*y wrt a. 3*a**2*y - 2263707069*a**2 Find the second derivative of 1736*g*r**2 + 26264342*g + 4565*r**2 - 2*r wrt r. 3472*g + 9130 Find the third derivative of 4191103*y**3 - 72*y**2 - 7927 wrt y. 25146618 What is the second derivative of 16519*r**2*u*z**2 + r**2*u - 163*r**2 + 375*r*u*z**2 - 6*r + 20*u*z**2 - 40*u*z + 9*z - 2 wrt z? 33038*r**2*u + 750*r*u + 40*u What is the first derivative of -90*y**2 - 2686*y + 5168535? -180*y - 2686 What is the second derivative of k**5 - 3159*k**3 - 285*k**2 + 15123957*k? 20*k**3 - 18954*k - 570 Find the third derivative of 22315101*c**4 - 2*c**2 + 1591021*c. 535562424*c Find the third derivative of -q**4 + 24867839*q**3 - 3286174*q**2 - 2*q wrt q. -24*q + 149207034 What is the first derivative of -2*m**2*x + 218489*m**2 - 9*m*x + 2*m + 51494*x + 1040 wrt m? -4*m*x + 436978*m - 9*x + 2 What is the third derivative of -2790430*r**3 - 12491226*r**2 wrt r? -16742580 What is the derivative of 27992717*r - 10152914 wrt r? 27992717 Find the third derivative of 22044128*o*z**4 + o*z**2 + 3*o*z - 4*o - z**4 - 4*z**3 - 28*z**2 - 1396*z + 1 wrt z. 529059072*o*z - 24*z - 24 Differentiate 1545*h**3 - 62474*h + 116480382 with respect to h. 4635*h**2 - 62474 Differentiate 15430*i**3 - 8*i**2*p**3 - p**3 - 590*p - 105 with respect to i. 46290*i**2 - 16*i*p**3 Find the second derivative of 14918699*d**3 - 4*d**2 - 795*d + 27621 wrt d. 89512194*d - 8 What is the first derivative of -149531*w**3 - 10*w + 3481346? -448593*w**2 - 10 Differentiate 194*q*s**3 + q*s + 1394769436*q - 1621911*s**2 with respect to s. 582*q*s**2 + q - 3243822*s What is the derivative of -10597019*s**2 + 3*s + 11306747? -21194038*s + 3 Find the third derivative of -207*r**5 + 76*r**4 + 10*r**3 - 7224685*r**2 wrt r. -12420*r**2 + 1824*r + 60 What is the second derivative of 28569830*z**2 + 178*z - 53929 wrt z? 57139660 What is the second derivative of 2000586*k**4 - 3*k**3 - 2*k**2 + 9630625*k? 24007032*k**2 - 18*k - 4 Find the second derivative of 215*u**3 - 62510*u**2 - 3*u - 28293077. 1290*u - 125020 What is the first derivative of 373*l**3 + 39187*l**2 + 12569588? 1119*l**2 + 78374*l Find the second derivative of 371472*j**2*u**3 + 360*j**2*u + 43472*j*u**3 - 953*u wrt j. 742944*u**3 + 720*u What is the third derivative of 2*o*u**4 - 2092976*o*u**3 - 2364*o*u**2 + 2*o*u - 7003*o + u**2 wrt u? 48*o*u - 12557856*o What is the third derivative of -15*b**3*v**3*x - 2619265*b**3*v**3 - 10831*b**3*v**2*x + 2*b**3*v + 1679*b**2*v**2 wrt v? -90*b**3*x - 15715590*b**3 What is the third derivative of -2*c*w**3 - 380830*c*w**2 + 71*c - 2682203*w**4 - w**
{ "pile_set_name": "DM Mathematics" }
Suppose -5*l + t = -l. Calculate the smallest common multiple of 1 and l. 6 Let j be (-9 + 0)*-1 - -3. Suppose -j - 9 = -3*d. Calculate the least common multiple of d and 11. 77 Let o be (268/(-5))/((-5)/(-5)). Let f = -2269/40 - o. What is the common denominator of 4/2 - 49/(-5) and f? 40 Let v be 6/(-9) - 2/(-3). Suppose 0 = 3*m - 31 - 35. What is the smallest common multiple of m and v + 2/(-2) + 13? 132 Let u = -163/2 + 72. What is the common denominator of 1/20 and u? 20 Let o(k) = -14*k. Calculate the lowest common multiple of 2 and o(-1). 14 Let d = -369/248 - 74/31. What is the common denominator of d and -19/10? 40 Suppose 0 = 3*n - 4*w - 12, 0 = -5*n - 3*w - 8 + 57. What is the smallest common multiple of n and 8? 8 Suppose -w = 3*f + 1057 - 146, 5*f + 1509 = -4*w. Find the common denominator of f/(-90)*(2 + -3) and 13/10. 90 Suppose -3*l = -9 - 9. Let i = 88 + -8. Suppose -2*v - 3*v = -i. Calculate the least common multiple of l and v. 48 Let f be (-2)/(-4) - 35/(-10). Suppose 14 = 5*l - f*l. What is the lowest common multiple of 2 and l? 14 Suppose 4 = -5*x + 9. Suppose 1 = 4*h - 19. Suppose -3*f + 55 = 2*f - h*t, 5*t = 4*f - 45. What is the least common multiple of f and x? 10 Let a(y) = -9*y - 6. Let j be a(-9). Let g = -10 + 6. Calculate the common denominator of j/(-9)*(-3)/g and 49/12. 12 Suppose -401 = -4*n + 167. Find the common denominator of (n/(-4))/(18/(-4)) and -43/5. 45 Calculate the smallest common multiple of 23/3 + (-4)/6 and 1. 7 Suppose -n + 4 - 1 = 0. Find the common denominator of -3 + n*(-60)/32 and -17/18. 72 What is the lowest common multiple of ((-4)/(-14))/(2/49) and 94/14 - 4/(-14)? 7 Suppose -427 - 377 = -2*y. Let z = 1816/9 + -17179/90. What is the common denominator of z and (y/36)/((-2)/3)? 20 What is the least common multiple of 7 + -6 + 2 + 6 and 2*(3/2)/3? 9 Suppose p - 3*v = 13, -p = 2*p + 4*v. Suppose 4*c - f - 17 - 3 = 0, -34 = -3*c - p*f. Calculate the smallest common multiple of -1*(7*3)/(-3) and c. 42 What is the common denominator of (-20)/(-16)*142*3/(-15) and -93/4? 4 Let u(g) = -g**2 - g + 10. Suppose -5*d + 4*d + 12 = 0. Let z = 19 - d. What is the least common multiple of z and u(0)? 70 Let r = 0 + 6. Let m(v) = -2*v - 2. Calculate the lowest common multiple of m(-5) and 25 - (-2)/(-4)*r. 88 Suppose 0 = -7*g + 4*g + 30. Let r(l) = l**3 - 3*l**2 - 4*l + 5. Calculate the lowest common multiple of r(4) and g. 10 Let b be ((-171)/(-4))/((-105)/(-13190)). Let s = -5373 + b. Find the common denominator of 61/8 and s. 56 Suppose -j - 56 = 19. Let d = 11393/4 - 2834. What is the common denominator of d and j/(-14) + -2 + -1? 28 Suppose -2*w = 3*x + 4 - 25, 57 = 4*w + 3*x. What is the smallest common multiple of 10 and w? 90 Let t = 23 - 14. Suppose t = -z + 3*c, 0*z = 3*z + 3*c - 21. Find the common denominator of -3/8 and (-12)/7*10/z. 56 What is the least common multiple of 1 + (-6)/(-3) - -9 and 2? 12 Let t = 44 + -24. Suppose -6*u + u = -70. What is the least common multiple of u and t? 140 Calculate the common denominator of 83/4 and (-825)/658 + (-10)/(-35). 188 Suppose 3*d + j - 19 = 2*d, -2*j = -10. Let y = 21 - d. What is the least common multiple of (-3)/15 - 62/(-10) and y? 42 Let d = 7 + -4. Let x(h) = h + 11. Let k be x(-11). Suppose -o + 6 = -k*o. Calculate the least common multiple of d and o. 6 Let a = 6/295 - 21053/5310. Calculate the common denominator of a and 143/18. 18 What is the common denominator of 148/(-112)*1 - 0 and 91/6? 84 Let s(i) = i**2 + 2*i + 3. Let q be s(-2). Calculate the common denominator of -20/11 and 3 + (6/7 - q). 77 Let u = -30 + 90. What is the least common multiple of (u/(-3))/(-2) - -1 and 4? 44 Let x be 4 + -1 + 3 + -1. Suppose -4*f - 40 = -x*g, -g - 5*f - 11 - 10 = 0. Calculate the least common multiple of g and 3. 12 Let l = -9 + 21. Calculate the lowest common multiple of l and 12. 12 Let a be (-6)/(((-1)/(-1))/(-1)). Suppose -a - 2 = -i. What is the lowest common multiple of i and (-1 - 0 - -9) + 3? 88 Suppose z - 4*w = 8 + 84, 0 = -2*z - 3*w + 228. Let o = z + -767/7. Calculate the common denominator of 6/5 + -1 - 108/(-35) and o. 7 Calculate the lowest common multiple of 6 and (-15*2/(-7))/(6/42). 30 Suppose -v + 4*r = 10, -4*v + 3*r + 20 = 2*r. What is the least common multiple of -7*1*(-18)/21 and v? 6 Let z = -73/20 - -122/5. Calculate the common denominator of z and (-127)/(-6) - (-3 - -2). 12 What is the lowest common multiple of (-2)/((-7)/((-105)/2)*-1) and 6? 30 Let m be -2*1/7369 - 0. Let b = -39764999592094243/88428 + 449687877042. Let q = m + b. Find the common denominator of q and 69/14. 84 Find the common denominator of 248/220 + 2/(-5) and (-1)/((-11)/(-4)) - 4. 11 Suppose 0 = 8*k + 4 - 76. Calculate the lowest common multiple of 1 and k. 9 What is the common denominator of (6 - 5) + (-42)/27 and 22/21? 63 Let c = 12 - 7. Let f(v) = -5*v + 4. Find the common denominator of 57/5 and f(c). 5 Suppose 0*u + u = 40. Suppose -u - 40 = -5*i. Calculate the least common multiple of i and (0 - 0) + 12 + 6. 144 Let y = 686 + -1541. Calculate the common denominator of 33/10 and (-2)/(-4) - y/36. 20 What is the common denominator of (3 + 62/(-16))*102/(-14) and 91/6? 24 Let t be 47024/72*(-66)/8. Let z = -5368 - t. Find the common denominator of z and (2/((-20)/71))/1. 30 Suppose 4*a = z + 6, 0*a + 2*a = -z. Let v be 1*3059 - (1 - z). Let h = v - 36701/12. What is the common denominator of 57/2 and h? 12 Let i = -8661/2420 - 57/121. Calculate the common denominator of ((-15)/(-7))/(16/14) and i. 40 Let t be (4 - -3982)*1/(-2). Let q = t + 3782. Let o = q - 7213/4. Find the common denominator of -76/9 and o. 36 Suppose 0 = -5*h - 0*h + 15. Find the common denominator of (-1)/(-4)*122/h and (12/10)/((-1242)/(-240) + -5). 42 Calculate the common denominator of 3/15*(-173)/6 and 61/21. 210 Calculate the common denominator of 9/8 and (3/30)/(-4*2/(-300)). 8 Suppose -3*i = -0*i - 6. Suppose 3*m - 8*m + 21 = 2*p, -i*p + m = -15. What is the smallest common multiple of 18 and p? 72 Let g(m) = -7*m**2 + 37*m - 7. Let a(w) = -2*w**2 + 9*w - 2. Let j(f) = -9*a(f) + 2*g(f). Calculate the common denominator of j(4) and -16/3. 3 Suppose -2*d + 4*w = -7882, 7*d - 19694 = 2*d - w. Let s = d - 886273/225. Let u = s - -1661/450. Find the common denominator of -75/8 and u. 40 Suppose 14 = 4*w - 2. Suppose -4 = w*j + 3*m, -4 + 6 = -j - m. What is the lowest common multiple of j and 2? 2 Let z be (6/4)/(6/(-8)). Let n(p) = p**3 + p**2 - 3*p - 1. Let r be n(z). Calculate the common denominator of 53/8 and (-81)/(-16) + (-1 - r). 16 Suppose -s - 8 = s, 3*s + 11 = b. Let z be 3142/112 + b + 1. Let i = 213/7 - z. Calculate the common denominator of -29/7 and i. 56 Suppose 3*t + t + 12 = 0. Let k(d) = -18*d + 1. Let i be k(t). Find the common denominator of 101/8 and i/6 + (-3)/(-1). 24 Suppose 4*i - 7 = 3*d + 16, -2*i + 15 = -5*d. Let s(c) = -c - 4. What is the lowest common multiple of s(-5) and i? 5 Let p = -3713/3 - -6171/5. Find the common denominator of p and -41/9. 45 Let u = -1 - -10. Calculate the smallest common multiple of 1 and u. 9 Let h = -35 - 119. What is the common denominator of -31/10 and h/6*6/4? 10 Let j be (9/3)/(3/1024). Find the common denominator of j/140 + (-4)/(-14) and (6/4)/(45/273). 10 Let x be (-239)/5*314337/(-33). Let p = 2285841/5 - x. Let f = -1854 + p. Calculate the common denominator of f and 29/3. 33 Suppose -3*v = 4*a + 25, -2*a + 3*a + 1 = v. Suppose -3*b + 7*b = 40. What is the smallest common multiple of b and (-2)/(v/(1 + 23))? 80 Let t = 391/10 + -367/20. What is the common denominator of t and 109/10? 20 Let z(v) = -3*v**3 - 9*v**2 - 3. What is the smallest common multiple of z(-4) and 27? 135 Let z = -1/73 - 2845/146. Let h = 18 + -353/20. What is the common denominator of h and z? 20 Let g = -2 - -9. Let l = g + -2. Let c(r) = -r**3 - 6*r**2 - 6*r + 5. Calculate the lowest common multiple of l and c(-5). 10 Let t = 148 - 113. What is the least common multiple of t and 40? 280 Suppose 335 = 3*t - 112. What is the common denominator of 6/10 + t/(-40) and 97/6? 24 Let l = 241301212/15 + -301304983019/18730. Let u = l - -6/1873. Find the common denominator of u and 103/22. 66 Suppose -3*z + 2*h + 64 = 0, 5*z + h = -2*h +
{ "pile_set_name": "DM Mathematics" }
755/285)? 3/19 What is (15*242/1100 + -3)/((-12)/(-25))? 5/8 Evaluate (-19)/(-380) + 20358/(-1560). -13 100/(-2) + 1190/(-18900)*-750 -25/9 What is the value of (-7761)/104 + -4 + (520/64)/13? -78 What is the value of (-1145)/(-20610)*6/8? 1/24 Calculate 1 + -28 + 26 + (-234)/(-72). 9/4 What is the value of (-184)/560 - 1736/3038? -9/10 What is the value of 95*(-24)/(-3690) + 362/(-543) + (-2216)/(-41)? 54 Evaluate 6/171 + (-1291602)/64467. -20 Calculate ((-360)/(-240))/((1/(10/4))/((-4)/39)). -5/13 Calculate -10 + ((-1)/(-24) - (7760119/138408 + -66)). -2/79 Evaluate (6/26)/((-517)/((-68238313)/858)). 71/2 (396/(-3))/(-33) + (-24 - -7)/1 -13 Calculate ((-270)/(-1200))/((-1)/(-8)). 9/5 Evaluate 38 - (3834/294 - -25). -2/49 Evaluate ((-17)/(-54))/(-14 - 1105/(-78)) - (14 - 13). 8/9 What is ((-2940)/75 + 40)/14? 2/35 What is (12 + -10)*(-74 + 1)*(14/(-4))/(-7)? -73 What is the value of (-138)/(-2415) + (-218)/140 - (-30)/4? 6 What is (42*62/48)/((-392)/(-224))? 31 Calculate (-34)/170 + (-6)/8 + (-641)/20 + 5. -28 Calculate -11 - ((-9)/((-1530)/(-17)) + ((-1321)/90 - -4)). -2/9 -18*(-84)/(-54) - -8 -20 (-407)/274 + (1376/(-1204) - (0 + (-74)/28)) 2/137 What is -22*(-20)/10 - (14 + -1)? 31 What is 2/(2 + -1)*((-2712)/132)/113? -4/11 What is (49 + -10*26/(-20))/(2 + (-7 - -4))? -62 Calculate -29 + (-1 - -3) - (1340 + -1367). 0 Calculate 10 + (-1563)/(-48)*(2448/(-221))/36. -1/52 What is -24 + (-2 - (-182)/(-35))/(6*(-20)/150)? -15 Calculate (-77)/(5929/3410) + ((-390)/91)/(-15). -44 Evaluate -22 + 2010/88 + (-53)/583. 3/4 What is 208860/(-18880) - (0 - (13 + 4/(-2)))? -1/16 Evaluate (-10 - (-2016)/200) + (-7876)/2200. -7/2 What is the value of (15/200)/((-121)/(1815/(-36)))? 1/32 What is ((-120)/100)/(51/1870) - (-41 - -21)? -24 What is the value of (7286/25501)/(1/(-112))? -32 Calculate 11739/(-258) + (-15)/(-6). -43 What is the value of (-18817)/496 + 56 - 18? 1/16 What is the value of (-29)/(2465/(-10)) + (-15570)/(-306)? 51 Calculate (38 - 3/1)*3. 105 Calculate (99 - (-44 + 142))*(34/8 + (-33)/(-22)). 23/4 Evaluate (-97 - -1) + -17 + (27 - 33). -119 Calculate (6 + 13/((-130)/25))/((-11)/66). -21 Calculate (9198/5110)/(2/(-40)). -36 What is (-403)/9 + 111 + -66? 2/9 Evaluate -1*(1939/(-1108) - 2/(-8))*62. 93 What is the value of (6/(-10))/(37973/(-1725) + 18 - (-8)/2)? 45 (((-4)/30)/(14/21))/(27/((-621)/(-184))) -1/40 Calculate (10/15)/(13/((-598)/(-46)) + (-17)/14). -28/9 (-1)/(-48) + (-4209611)/(-123888) 34 What is the value of (0 - 10/(-18))/(133 + 7970/(-60))? 10/3 ((-16614)/1420)/((-650)/250) 9/2 What is the value of -37 - 4/(84/(-2751))? 94 What is (-72)/(-360)*(-2 + 7/(-1078)*-298)? -1/77 Evaluate ((-86)/570 + (-34 - ((-113152)/(-255))/(-13)))*6. -2/19 What is the value of (-7 + 39 + -25 - 10) + 21/8? -3/8 Evaluate 394716/3654 - (-16524)/(-153). 2/87 Evaluate 2222/505*(-12 - (-767)/91). -110/7 What is the value of (10/12 - 1) + -205*(-8642)/73308? 24 ((-1)/(-15))/(31/(-47 + 109)) 2/15 What is the value of 7 - 7 - ((-3104)/(-216) - (5 - -9))? -10/27 -4715*3/(-276) - 60 -35/4 What is (56/280)/(19/124830*18)? 73 What is (-80)/(-240) - ((-48)/(-18) + -1)/(1 - 8)? 4/7 3/36 - ((-4)/10 - (1 - (-1398)/(-360))) -12/5 Calculate (259420/(-680) - -398)*(1*-2 - -8). 99 What is the value of 34*5/((-100)/20)? -34 (12/(-9) - -1)/((-8)/(-3)) + (-614450)/(-28510480) -3/29 What is -30 - (-9845)/110 - 42? 35/2 What is the value of ((-623)/4183)/((-224)/1316)? 7/8 What is 1640 + -1586 + (-11175)/207? 1/69 Evaluate 30/85 + 3620/(-5440)*-16 - -11. 22 What is 8435/(-315) - -35 - 8? 2/9 Calculate (-6437)/195 + (-2426 - -2459). -2/195 Calculate (312/2074 - (-16)/(-136))*(1896 - 1895). 2/61 What is 21/(-63)*(-146)/(-438) - (249/432 - 1)? 5/16 Calculate (-40)/(-996)*(-14)/(-70)*(16 + -19). -2/83 2 - (-7)/3 - ((-420)/(-75))/(268/335) -8/3 Calculate 5416/(-72) + (140 + -133)*(-2)/(-63). -75 What is 54/549 - 6695676/60268? -111 What is the value of (1660/249*54/(-4))/(-6)? 15 Calculate 15 - ((-3)/((-48)/320) + -5). 0 What is the value of (-2)/(-47) + ((-39)/6110)/((-7)/(-266))? -1/5 (-580)/23780 + (-2)/18778*-311 2/229 ((-54)/99)/((-421860)/17380) 2/89 What is 55 + 3056/(-64) + -5? 9/4 What is the value of (14/(-119))/((-1660)/(-340))? -2/83 What is 304/80 + 32712/(-8265)? -3/19 Calculate (54/(-2))/((-19488)/14210 - (-9)/5). -63 Calculate 280/(-525)*987/(-376). 7/5 What is the value of 9/(-6) - (-370)/12 - ((-12)/18 - -1)? 29 2012452/41678 + (-36)/28 + 1 48 Calculate 62757/(-8667) + 2/9 - 1652/(-236). -2/107 What is 30 - ((-440016)/(-192))/103? 31/4 Evaluate (3/5*(-10)/8)/(((-1985980)/(-3488))/911). -6/5 Calculate ((-190)/(-76) - ((-5260)/24)/5) + 2/3. 47 1*(59 - (16 + 44)) -1 What is (-7 - (35 + -61))*1 + 3346/(-176)? -1/88 Evaluate ((-54)/36*2)/((-108)/(-1692)). -47 What is 2 - ((-20)/1 + (5 - 74) + 84)? 7 Calculate -18 - 3 - -12 - 10. -19 311/132 + 63 + (-31320)/495 - 5/6 5/4 Evaluate (8/58)/((-454132)/(-134386)). 2/49 ((-2090)/(-570))/((-22)/36) -6 What is -25 - (-28 + 9 - 36) - 2? 28 (682/33)/((-502)/753) -31 Evaluate -1*(4 + 2 - 1)*24274/1145. -106 31 - (27 - -4) - (3 - 26) 23 (277/(-831))/(4 + -11 + 16621/2376) 72 Calculate (((-54)/60)/((-137)/(-15) - 9))/((-1827)/168). 18/29 Evaluate (541025/25194 + 86/(-4))/(3/(18/5)). -2/65 What is the value of 76/6 + ((46 + 20)/(-726) - (-87)/(-11))? 14/3 What is the value of ((-4)/(-5))/((-4059)/165 + (-20)/(20/(-21)))? -2/9 What is 38 + (-280)/(-105)*11/((-132)/45)? 28 Calculate (-7 - 6) + ((-464)/(-10) - 2)/(54/135). 98 What is the value of 35/286 - (-210)/(-2730)? 1/22 Evaluate (1974/(-4371))/(20/(-1860)). 42 What is (101 + -41)/5 - 49/1? -37 What is the value of (839/27 + -31)/((-10)/(-60))? 4/9 Calculate (16/(-64)*20)/((-896)/70 + 13). -25 What is the value of (-55540)/66648*(-2268)/15? 126 What is the value of 23982/31976*(-8)/189? -2/63 Calculate ((-70)/19)/((-32158)/305501). 35 What is (955/(-191))/(3/(18/(-1005)))? 2/67 What is 740/(-20) - (-1296)/48? -10 (-2)/(18/15)*84/(-13230)*-63 -2/3 What is the value of (250/(-175))/(100*(-1)/28) + 564/(-10)? -56 Evaluate 82/(-205)*-90 + 8. 44 6/3 - 5 - (-26381)/33189*(3 + 0) -8/13 What is the value of ((-506)/5819 + 405/3864)/(60/(-70))? -1/48 Evaluate (-255)/(-595) - 11024/3640. -13/5 Evaluate -365 + 428 + (-1725)/27. -8/9 What is (1 - -3)*-52*(98 + -108 + (-42)/(-4))? -104 Evaluate (18/15*79/((-29862)/(-36)))/((-220)/14). -2/275 Evaluate -1*(1496/51)/44. -2/3 What is 14/(-735) + 315648/(-362880)? -8/9 (-147195)/91588*7/(-15) 3/4 What is the value of 2*(-65)/117*((-57)/(-76) + (-1)/4)? -5/9 What is the value of (-324)/21*(-6 - 1729/(-182))? -54 Calculate (1780338/388)/483*2*2/1. 38 Calculate (-309)/54*(-18)/42 - 4/14. 13/6 894/(-150) - -6 - 364941/(-67725) 38/7 Calculate (-13809)/23015*(-1010)/(-6). -101 Calculate 11/(-30)*(1176/(-616))/7. 1/10 What is the value of -6*(-6)/60 - (1761/(-65) - (-76)/(-247))? 28 What is the value of (-2)/(-10) - (13/65)/(2 + (-2641)/1311)? 14 Evaluate 6/(-7) + 176660/258566. -4/23 -13*1 - (-639)/(-6)*((-992)/48 + 20) 58 What is the value of (1 - (-44)/(-36) - (-1352)/1872)/((-3)/(-78))? 13 What is the value of (-873)/(-97) + (-84 - -1) - (-39)/(18/(-6))? -87 What is -1391*(-135)/2262 - 83? 1/58 What is -5647 - -5596 - (2/1 + 0/(-2))*-6? -39 Calculate (4/(-42))/(29205/3186)*(-14)/4. 2/55 Evaluate ((-52)/5)/(7 + 1897/(-350) - (-90)/(-60)). -130 What is the value of 57/(114/176) + -55? 33 What is the value of (-1)/(-4) - ((-50)/840)/((-5)/(-27))? 4/7 Calculate (1000/75 + -4)/(56/(-12) - -5). 28 What is ((-10073)/(-7195))/(7/(35/8))? 7/8 (25/5 + 1008/(-210))/(-5) -1/25 Evaluate 390/(-18018)*33*-133. 95 What is the value of (-3626)/111 + 34 + 4/6? 2 (-19 - -2) + -70*(-111)/7770 -16 Calculate (-3640)/182 + 9/((-1854)/(-4124)). 2/103 Calculate 70/47880*-51 - (-7)/84. 1/114 -5*1/8 - 10/10080*-582 -1/21 Evaluate (72 - (-5586)/(-76))*-48 + -6 + -1. 65 Evaluate -117*((-91)/84 + 1)/((-6)/(-12)). 39/2 What is the value of (-148)/(-13) - (9429 + -9417)? -8/13 Calculate 318/10*((-19035)/216 + 88)*(-80)/6. 53 Calculate 15/(840/32)*(-2 + 552/102 - 3). 4/17 -158 + (95 - 239) + 179 -123 Calculate 492/25338 + 1005/(-4017). -3/13 What is (6/33 + (1 - 35/11))*(-206094)/(-2804)? -147 Calculate 3381/(-1035)*1170/351. -98/9 Evaluate ((-20520)/(-29640))/(-9*(-4)/4
{ "pile_set_name": "DM Mathematics" }
7 - 23. Which is the closest to o? (a) j (b) -0.3 (c) d b Suppose 1846*q + 21 = 1853*q. Let i be (63/12)/(-7)*(-3 + 4). What is the nearest to 2/3 in -6, i, -1, q? i Let h = -27050 - -27051. Which is the nearest to h? (a) 0.5 (b) -12/35 (c) -0.4 a Let o = -0.203 + -0.197. Let i = o + 1.4. Let j = -0.2 + 0. Which is the closest to j? (a) i (b) -0.1 (c) -4 b Let t = 13426 + -13427. Which is the nearest to -5? (a) 2/9 (b) 1/4 (c) t c Let c be (2/5)/((-22)/10). Let s = -0.02 + -0.002. Let j = 0.022 + s. What is the nearest to j in c, 1, -2? c Let d = -5.09 + 10.09. What is the closest to -1.4 in -5, -4, -2/13, d? -2/13 Suppose 17*g - 19*g - 5*t = 1087, 4*t - 563 = g. Which is the closest to -1? (a) -0.5 (b) g (c) 16 a Let o(w) = w**3 - 3*w**2 + 3*w - 34. Let z be o(4). What is the nearest to 3/4 in 14, 0.2, z, -5? 0.2 Let x = 457806/35 - 13080. Which is the nearest to 0? (a) -2 (b) 1/13 (c) x b Let y = -816.8 - -812.8. Which is the closest to 0? (a) 5 (b) -6 (c) y (d) -2/3 d Let w = -38.7 + 0.7. Let g = w - -37. Let u = 48 - 47.8. Which is the closest to g? (a) 1 (b) 2 (c) u c Suppose -87*d + 84*d + 6 = -2*y, 8 = -d - y. What is the closest to 0.4 in -4, d, 6/13? 6/13 Let v = 29.35 + -29.1. Let m = 3.15 - 3. Let r = v - m. What is the nearest to r in 1, -3, 0.5? 0.5 Let t be 4/3*2/(-12). Let s be (9/(-621))/((-2)/(-4)). Which is the nearest to -1/3? (a) 1/3 (b) s (c) t c Let y be (4/8)/((-6)/(-1500)). Let d be 100/y + (-9)/5. What is the closest to 1 in d, -3/7, 1/10? 1/10 Let q be 4/(-10) - 132/(-105). Let s = -1.75503 + 1.85503. Which is the nearest to -1? (a) 14 (b) -5 (c) q (d) s d Let u = -64 + 61. Let p be -3 - 28/22 - -3. Let i = p - -31/33. What is the nearest to i in -0.3, -1/3, u? -1/3 Let w = -1717/2292 + -1/1146. Which is the nearest to 1/4? (a) 46 (b) w (c) 5 (d) 1 d Suppose 0 = 4*d - 0 + 56. Let x(c) = 5*c - 2. Let m be x(1). Suppose 3*f = -0*f - m. What is the closest to f in 0.5, -2, d? -2 Let z = 1/23741 - -14743096/1543165. Let u = -132/13 + z. What is the closest to -2 in u, 19, -2? -2 Let x = 1.7 - 2.1. Let t be ((-376)/12)/((-6)/(-9)). Let j = -55 - t. Which is the closest to j? (a) x (b) -1 (c) 0 b Let n = -22 + 22.103. Let f = n - -3.897. Let v = -4.2 - -4. Which is the closest to v? (a) 3 (b) -1/6 (c) f b Let v = 28932.95 - 28933. What is the nearest to 0.1 in v, 4, 6? v Let h = -27 - -46. Suppose 0 = j + 19 - h. What is the closest to j in 4, 3, 18? 3 Let r = 0.9858 - -0.0142. Let p = 294 - 296. Which is the closest to -0.9? (a) 5 (b) r (c) 0.3 (d) p d Let t be 132/(-308) + (-2)/(-14). What is the closest to 0.2 in t, -7.6, -2/21, 3? -2/21 Let s = -933 + 454. Let g = 480 + s. Suppose 3*v = -4*l + 6*l + 16, -5*v + 22 = -l. Which is the nearest to g? (a) 2/19 (b) -1/2 (c) l a Let w = 4746 - 4750. What is the closest to 4 in 5, -1/4, w? 5 Let x = 4848.5 - 4848. Which is the nearest to -41? (a) -1 (b) -0.1 (c) 3 (d) x a Let p = -43.62 + 43.5. What is the nearest to -1 in -0.8, -4, p? -0.8 Let r = 115.21 - 125.9. Let d = -11.7 - r. Let k = 0.01 + d. Which is the closest to 1? (a) -4 (b) 2 (c) k b Let c = 3 - 10. Let x = c + 6. Let b = 6073 - 6049. What is the closest to x in -2, b, -1/2? -1/2 Let s = 21.42 + -17.42. Which is the nearest to -13? (a) s (b) -1 (c) -0.3 b Let r = -7.0171 - -1.0171. Let a = -26 + 31. What is the nearest to 1 in a, 3, r, 0.2? 0.2 Let r be 3*(-6)/27*12 + (-21)/(-3). Let g = -10 - -11. What is the nearest to g in 5, -2, 4/5, r? 4/5 Let y = -557/1011 - 39/337. Which is the closest to -2/5? (a) y (b) 6 (c) -3 (d) -0.3 d Let s = -541 - -588.2. Let h = -0.04258 + 47.04258. Let l = h - s. What is the nearest to -2/17 in -1/3, 3, l? l Let b = -51548 - -51552. Let h be (-2)/2 - 21/(-23). What is the nearest to -1 in -4, h, -3/7, b? -3/7 Suppose -3*h - 4*r - 30 = -29, 0 = -h - 5*r + 7. Which is the closest to -312? (a) -0.05 (b) h (c) -0.5 b Let f = 12 + -11.9. Let m be (1 - 0)*0*6/(-18). Suppose -2*i = m, -3*v + 2*i + 2*i + 51 = 0. Which is the nearest to f? (a) -4 (b) v (c) -2/7 c Let d = -2.14 - -2.82. Let p = d - 1.68. Which is the closest to p? (a) -0.3 (b) -2 (c) -2/3 c Let f = 415.9 - 61.9. Let y = -345.2 + f. Which is the nearest to -1? (a) y (b) 1 (c) 1/5 c Let t = -11100.09 - -11037. Let r = t - -63. Let h = 0.41 + 0.09. Which is the nearest to 0? (a) h (b) r (c) 2 b Suppose 5 = 9*z - 4*z. Suppose o = -z + 2. Let y = 4987 - 4997. Which is the nearest to y? (a) -0.3 (b) o (c) -0.4 c Suppose -5*m + 2*y - 1 = 0, 3*y = 3*m - 13 + 10. Let j be (5/(-2) - m/2)/(-55). What is the closest to 0.2 in j, 4/7, -0.5? j Let p = -0.05 - 0.35. Suppose -6*h = 61*h - 134. Suppose -2*z - 13 = -4*t - z, 5*z = 4*t - 33. Which is the nearest to h? (a) 0 (b) p (c) t c Suppose 15*z + 20 = 17*z. Suppose 20 = -2*x - z. Let b be (1/2)/(-3 + x/(-6)). What is the closest to b in 0.2, -2, 2/3? -2 Let l = -43.5 - -92. Let j = l + -82. Let u = 33 + j. What is the nearest to 0.2 in u, 5, 0.2? 0.2 Let u = -7870/91563 - 4/3981. What is the nearest to 8 in 1/4, -1.8, u? 1/4 Let a = 527.5 + -470.89. Let j = a + -57. Let t = 0.39 + j. What is the closest to t in 3/5, 5, -1? 3/5 Let t = 12047.2 + -12058. What is the closest to -0.1 in -0.4, t, -0.3? -0.3 Let x = -26630 + 26626. What is the closest to -1402 in 5, 0.1, x? x Let v = -44/259 - -1/37. Let i = -4.711751 + -0.288249. Which is the nearest to 1? (a) v (b) i (c) 0.4 c Let r = 82/45 - 268/153. What is the nearest to -2 in -0.2, r, -0.3? -0.3 Let k = 7 - 7.3. Let p = -134 + 130. Let h(r) = 32*r + 114. Let v be h(p). What is the nearest to -1 in v, k, 2? k Let x = 5.872 - 5.792. What is the closest to x in 2, -3, -7? 2 Let l = -10.4 - -17. Let s = 6.257 - 0.657. Let b = s - l. What is the closest to b in 3, 0.1, -0.2? -0.2 Let p = -583.3 + 583. Let z = -599 - -1197/2. Which is the nearest to z? (a) -0.2 (b) 8 (c) 2 (d) p d Let w = 0.655 + 278.345. Let d = 278 - w. Which is the nearest to d? (a) 5 (b) 2 (c) -8 b Let o = 32.03 + -30.4. Let g = o - 2.63. Let d = -123 - -241/2. Which is the closest to g? (a) -1/5 (b) d (c) -4/5 c Let n = -39 + 56. Let g = 28 - 33. Let z be n/(-35) - 1/g. What is the closest to z in 0.4, 5, 2/35? 2/35 Let r = 33.3 - 33. Let o be (-82)/170 - (-42)/(-357). Which is the nearest to 11/4? (a) r (b) 2 (c) o b Let x = -4012.3 + 4012. What is the nearest to -13/3 in -4.8, 0.2, 2, x? -4.8 Let h be (-14)/(-12)*40/(-70). Let u be 93/62 + (-10)/12. Which is the nearest to -6? (a) 0.2 (b) 0 (c) u (d) h d Let f = 2/79427 + -792125477/238281. Let t = f + 3285. Let z = t - -39. What is the nearest to z in -0.4, 1, 4/5? -0.4 Let p = 0.896 - -5.804. Let x = 0.16 - -0.84. Which is the nearest to 2? (a) x (b) 0.3 (c) p a Let r(n) = n + 1. Let y be r(-1). Let s = 635 - 1008. Let a = s + 374. What is the closest to y in a, -11, 0? 0 Let i = -10.112 - -14.112. Which is the nearest to 0? (a) 8 (b) -3 (c) i (d) -33 b Let k = 19721 + -19716. What is the nearest to -2 in k, 0.3, 27? 0.3 Let g = -3.36 - -1.46. Let p = 6.9 + g. What is the closest to 1 in p, 2, 4? 2 Let s = -67/638 + -3/12122. Which is the closest to 2? (a) 1/6 (b) 100 (c) s (d) -0.1 a Let l = 1.164 + 166.836. Which is the nearest to -1? (a) 5 (b) l (c) 0 (d) 0.1 c Let h = -4.168 - -0.168. Suppose -w = -3*w + 24. Let s be 3/9 + 8/w. Which is the closest to s? (a) 2/7 (b) 2 (c) h a Let p = -11921 - -11921. What is the closest to 0.2 in -5/4, p, -3.7, 4? p Suppose 25 + 105 = 26*i. Which is the closest to -0.26? (a) -5 (b) i (c) -1 c Suppose -240*x - 9*x + 752 = 127*x. Which is the nearest to -0.34? (a) x (b) 0.9 (c) -3 b Let l = -5 - -10. Let p = 7 - l. Let t = -104 + 96. Which is the closest to 0? (a) p (b) 2/3 (c) t b Let o = -9302 + 83720/9. What is the nearest to -1/4 in -1/7, -4, 3, o? -1/7 Let f = -7057 - -7056.99. What is the nearest to -41 in 5, -0.3, f, 2? -0.3 Let t be -24*((-2)/3)/(48/(-90)). Let j be 16/t - (-9 - (-176)/20). What is the nearest to -1 in j, 2/5, -0.03? j Let k = -99377 - -99376. Let d = -0.02 + -1.98. Let o be 6/10*2/(-6). Which is the nearest to d? (a) 1/4 (b) o (c) k c Let d = 47/120 - -1/120. Let r = -37/100 + 28/25. Which is the nearest to 3/5? (a) d
{ "pile_set_name": "DM Mathematics" }
ent from {b: 3, z: 17}. Give prob of picking 1 b and 2 z. 34/95 What is prob of picking 1 p and 3 r when four letters picked without replacement from {r: 5, i: 1, p: 2, d: 4, g: 1, m: 2}? 4/273 Calculate prob of picking 2 u when two letters picked without replacement from eeueuee. 1/21 What is prob of picking 1 x, 1 o, and 1 v when three letters picked without replacement from vtclvvxvxvvvoc? 1/26 What is prob of picking 2 r and 1 n when three letters picked without replacement from {r: 8, n: 5}? 70/143 Four letters picked without replacement from {x: 9, f: 2, q: 5}. Give prob of picking 4 q. 1/364 Four letters picked without replacement from {f: 6, k: 3, u: 8}. What is prob of picking 4 u? 1/34 What is prob of picking 2 y when two letters picked without replacement from xyyxxyyxyx? 2/9 Four letters picked without replacement from fuffhfahuuufuahm. What is prob of picking 2 f, 1 m, and 1 u? 5/182 What is prob of picking 2 k when two letters picked without replacement from {t: 1, k: 6, z: 3, m: 4}? 15/91 Four letters picked without replacement from {m: 9, n: 1, w: 9}. What is prob of picking 4 m? 21/646 Four letters picked without replacement from {c: 1, q: 1, r: 2, m: 1, e: 2, v: 2}. What is prob of picking 2 e, 1 m, and 1 q? 1/126 Four letters picked without replacement from sqqqlqqqqsqqqqqqqqqs. What is prob of picking 3 q and 1 s? 112/323 What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 1, n: 9, y: 10}? 9/190 Two letters picked without replacement from ldydrzlzzl. What is prob of picking 1 l and 1 z? 1/5 Two letters picked without replacement from {m: 2, l: 1}. Give prob of picking 1 m and 1 l. 2/3 Calculate prob of picking 2 o when two letters picked without replacement from {a: 2, i: 3, w: 2, o: 6, c: 1}. 15/91 Four letters picked without replacement from {a: 3, g: 2, z: 5, b: 2, p: 3}. What is prob of picking 2 g, 1 z, and 1 b? 2/273 What is prob of picking 3 b and 1 q when four letters picked without replacement from {q: 9, b: 11}? 99/323 Two letters picked without replacement from cfs. Give prob of picking 1 f and 1 s. 1/3 Calculate prob of picking 1 x and 3 j when four letters picked without replacement from {x: 2, o: 4, j: 6}. 8/99 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 3, i: 12}. 12/35 What is prob of picking 2 m, 1 z, and 1 b when four letters picked without replacement from {c: 1, z: 1, b: 2, k: 1, m: 2}? 2/35 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {l: 1, a: 5, s: 3, v: 4, h: 1, z: 4}. 5/51 Calculate prob of picking 1 h and 2 l when three letters picked without replacement from {u: 3, l: 1, q: 7, m: 2, h: 4}. 0 Two letters picked without replacement from kkjjtzkgtj. What is prob of picking 1 z and 1 t? 2/45 Two letters picked without replacement from eieekeeee. What is prob of picking 1 k and 1 e? 7/36 Three letters picked without replacement from {g: 7, t: 3, j: 4}. What is prob of picking 3 g? 5/52 What is prob of picking 1 w, 2 h, and 1 r when four letters picked without replacement from whbhhbyyrhhybyhhyw? 7/510 Two letters picked without replacement from {u: 10, b: 2}. What is prob of picking 2 u? 15/22 Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 1, q: 1, b: 1}. 1/3 Four letters picked without replacement from {d: 6, t: 5, g: 2}. What is prob of picking 2 t and 2 g? 2/143 What is prob of picking 2 d, 1 r, and 1 o when four letters picked without replacement from ggzggodggrggrd? 2/1001 Three letters picked without replacement from lrdldddclc. Give prob of picking 2 l and 1 d. 1/10 Four letters picked without replacement from {s: 1, f: 1, a: 2, b: 14, u: 1}. What is prob of picking 1 s and 3 a? 0 Two letters picked without replacement from {y: 3, l: 3, k: 2}. Give prob of picking 2 l. 3/28 Three letters picked without replacement from {l: 3, v: 2, c: 1, s: 2, f: 4}. Give prob of picking 2 l and 1 v. 3/110 Two letters picked without replacement from {l: 5, o: 3, a: 6, w: 2, q: 3, x: 1}. Give prob of picking 2 l. 1/19 What is prob of picking 2 g when two letters picked without replacement from {l: 3, z: 1, y: 2, g: 6}? 5/22 Four letters picked without replacement from {s: 6, j: 3, k: 8}. What is prob of picking 1 s and 3 j? 3/1190 What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 3, f: 3, p: 11, l: 2}? 11/57 What is prob of picking 2 x, 1 e, and 1 o when four letters picked without replacement from wxoexxeewxwwxx? 45/1001 Calculate prob of picking 1 e and 2 m when three letters picked without replacement from vvmvmebmbbbbbmbbbb. 1/136 What is prob of picking 1 c and 2 e when three letters picked without replacement from {j: 2, e: 2, d: 1, c: 1}? 1/20 Two letters picked without replacement from vvvvvvvvvv. What is prob of picking 2 v? 1 Three letters picked without replacement from qblqnvu. Give prob of picking 1 b and 2 q. 1/35 What is prob of picking 2 p when two letters picked without replacement from fuftftftpttptfffpp? 2/51 Two letters picked without replacement from {z: 4, n: 3, t: 1, p: 1, h: 4, b: 2}. What is prob of picking 2 z? 2/35 Calculate prob of picking 3 j when three letters picked without replacement from {y: 5, j: 3, x: 3}. 1/165 Four letters picked without replacement from gsgggssvvvgv. Give prob of picking 3 v and 1 g. 4/99 Four letters picked without replacement from {w: 3, j: 2}. What is prob of picking 2 w and 2 j? 3/5 What is prob of picking 1 l, 2 x, and 1 i when four letters picked without replacement from {h: 1, l: 2, x: 4, i: 3}? 6/35 What is prob of picking 1 s, 2 d, and 1 n when four letters picked without replacement from dvdvvvsvvndvdvbdbd? 1/204 Four letters picked without replacement from yyyyylrwywyyywwl. What is prob of picking 1 l, 1 y, and 2 w? 27/455 What is prob of picking 2 o when two letters picked without replacement from ooooooooo? 1 Four letters picked without replacement from okvoookvooov. What is prob of picking 3 k and 1 v? 0 Four letters picked without replacement from {y: 2, k: 8, l: 3, q: 4, w: 2}. Give prob of picking 1 w, 1 l, 1 q, and 1 y. 4/323 Four letters picked without replacement from gqogwygg. What is prob of picking 1 y, 1 o, and 2 g? 3/35 Calculate prob of picking 1 f, 1 t, 1 l, and 1 z when four letters picked without replacement from {u: 2, z: 1, h: 1, l: 1, t: 2, f: 1}. 1/35 Calculate prob of picking 2 i and 1 s when three letters picked without replacement from sbibtttbwibv. 1/220 Four letters picked without replacement from avavvvaiafara. Give prob of picking 1 f and 3 a. 4/143 Three letters picked without replacement from {z: 7, y: 12}. Give prob of picking 2 y and 1 z. 154/323 Two letters picked without replacement from jjlvjzjzzazzqjjqzv. What is prob of picking 1 q and 1 z? 4/51 What is prob of picking 3 s when three letters picked without replacement from lsssllssll? 1/12 Three letters picked without replacement from {q: 11, a: 1}. Give prob of picking 1 a and 2 q. 1/4 Calculate prob of picking 1 h, 1 i, 1 f, and 1 m when four letters picked without replacement from efmifhizimhf. 4/55 Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {i: 10, l: 4, u: 6}. 1/19 Two letters picked without replacement from {a: 4, l: 2, s: 2, r: 2, y: 3, u: 3}. What is prob of picking 1 a and 1 s? 1/15 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {n: 2, l: 1, i: 3, f: 2, r: 3, a: 9}. 3/95 Two letters picked without replacement from cddcccclclondqcc. Give prob of picking 2 d. 1/40 Calculate prob of picking 2 q, 1 w, and 1 z when four letters picked without replacement from {y: 3, q: 4, z: 6, w: 4}. 36/595 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from sggesteesettesgeg. 2/17 Calculate prob of picking 2 l when two letters picked without replacement from {q: 1, l: 3}. 1/2 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from qmtttmmt. 3/7 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 4, r: 2, a: 2}. 2/7 What is prob of picking 4 g when four letters picked without
{ "pile_set_name": "DM Mathematics" }
-13/2? 4 Let u = 1073 + -53637/50. Calculate the common denominator of u and (275/(-28))/(-5)*2. 350 Suppose -4*w + 3 = 19. Find the common denominator of (1 + w/(-6))/(4/39) and 47/8. 8 Let b = -248 - -246. Let s = 3 + -3. Calculate the common denominator of (-222)/72 - (b + s) and -81/22. 132 Let u = -8 - 12. Let t = 138091/12 + -11516. Find the common denominator of ((-184)/(-345))/((-1)/u) and t. 12 Let a(x) = 19 + 11*x + 49 - 43 + x**2. Calculate the smallest common multiple of 1 and a(-12). 37 Let h = -18 + 26. Let w be (h/18)/(22/99). Calculate the common denominator of (1 - 32)*w/(-4) and 5/6. 6 What is the common denominator of 79/((0 - -12)*-1) and 1/28? 84 Suppose -4*u = 5*q - 83, u - 80*q + 79*q - 23 = 0. What is the lowest common multiple of u and 110? 110 Let m = -2760 + 1300. Calculate the common denominator of (-1)/3 + (-55)/(-90) and (-1)/35*m/(-8). 126 Let b be 24/10*80/(-24). Let x(k) = k**3 + 7*k**2 - 10*k - 14. What is the least common multiple of x(b) and 18? 18 Suppose 3*w - 10 - 59 = 0. Let i = w + -37. Let b = 21 + i. Calculate the least common multiple of b and 10. 70 Suppose 6*k - 19 = 5. Let q(o) = 2*o + 3. Calculate the smallest common multiple of q(k) and 2. 22 Suppose -t + 8052 = 8048. What is the smallest common multiple of 576 and t? 576 Let s = 22 + -4. Calculate the least common multiple of ((-17)/3)/((-3)/s) and 0 + (2 - 1) + 21. 374 Calculate the common denominator of 2/5*185/(-20) and 48/21*21/9. 30 Find the common denominator of ((-6)/(-68))/((-26)/(-910)) and 21/8. 136 Let m = 1114 - 654. Let y = m + -1198. Find the common denominator of -34/11 and y/(-30) + 4/10. 11 Let g be (-3)/((-12)/(-56))*2. Let a be (g/(-5))/(8/(-40)). What is the common denominator of (-17)/a*2/(-1) and 25/12? 84 Calculate the least common multiple of (-123930)/(-2250) - 4/50 and 35. 385 Let b(i) = i + 14. Let w be b(-8). Let m be (-39494)/6 - 4/w. Let n = m - -105417/16. What is the common denominator of 77/8 and n? 16 Suppose 16*k - 22*k = -36. Suppose -4*v = -4*g - 24, -v = -g + 2*g - k. Calculate the least common multiple of v and 18. 18 Let i = -6 - -13. Calculate the least common multiple of (0 + -3*2)/(-2) - 2 and i. 7 Let v = 10 + -3. Let r(m) = -m**2 + 9*m - 4. Let t be r(5). Suppose 2*k = -0*k + t. What is the least common multiple of v and k? 56 Let m = 70 - -28. Suppose 6*t - m + 38 = 0. What is the smallest common multiple of t and 11? 110 Let f = 9 - 3. Let n = f - 10. Calculate the common denominator of -101/8 and (-8)/n + (-274)/(-12). 24 Let j = 6434 - 122206/19. Calculate the common denominator of j and 4/11. 209 Let d = 371 - 330. Calculate the least common multiple of 3 and d. 123 Suppose 4*l - 577 = 575. Calculate the lowest common multiple of l and 48. 288 Find the common denominator of -69/10 and 36/234 - 1308/3770. 290 Calculate the least common multiple of (-75)/(-1) + -1 - (2 - 2) and 4. 148 Let l = 207 - 185. Calculate the smallest common multiple of 18 and l. 198 Let n = 72 + -71. Let s = n + 3. Calculate the lowest common multiple of 26 and s. 52 Suppose 4*k = d + 78, 4*d + 291 = -3*k - 2*k. Let n = -67 - d. Let t = -10 - -16. What is the smallest common multiple of n and t? 42 Suppose 64 - 100 = -6*n. Suppose 4 = 3*x - 2. What is the smallest common multiple of n and x? 6 Let m(p) = -p**3 - 6*p**2 + p + 5. Let n be m(-4). Let v = n + 45. What is the lowest common multiple of v and 8? 56 Let q = 26149/6 - 4335. Let p = -53 - -91. Let k = p + -192/5. Calculate the common denominator of k and q. 30 Suppose 29*s - 5247 = 3888. Calculate the lowest common multiple of s and 33. 3465 Let h(x) = 2*x**2 - 3*x - 75. Calculate the least common multiple of h(10) and 10. 190 Let m = 595713203001 + -67175003621785829/112764. Let s = -1/9397 - m. Let z = 41129/6 - 6870. Calculate the common denominator of s and z. 12 Let q = -934577 - -1357292. Let k be 2 + -6 - q/50. Let x = -8450 - k. Calculate the common denominator of x and -43/10. 10 Suppose 0 = 3*o - 6883 + 910. Let y = 187167/94 - o. What is the common denominator of -11/16 and y? 752 Let o be (6/4)/(7/(-14)*1). Calculate the smallest common multiple of 32 - (7 + o + -5) and 18. 198 Let c(a) = a**3 - 25*a**2 - 52*a - 36. Suppose 0 = v + 4*h + h - 11, -5*h = 2*v - 27. Calculate the least common multiple of v and c(27). 144 Let z = 23633/6 - 3948. What is the common denominator of -45/476 and z? 1428 Suppose -24 = -2*j - 3*r, -j + 3*j - 52 = 4*r. What is the common denominator of 161/30 and 5 + -4 - (-83)/j? 90 Suppose -44 = -6*c + 4*c. Let j(q) = -2*q - 18. Let k be j(-12). Calculate the least common multiple of ((-8)/k)/((-3)/18) and c. 88 Let u = 618 + -1297/2. Let j = 26111/6 + -4363. What is the common denominator of j and u? 6 Let t(a) = -a**3 - 13*a**2 - 5*a - 19. Let x be t(-13). Let l = x - 30. What is the lowest common multiple of 178 and l? 1424 Let u = 20 + 7. Let b = -2 - -5. What is the lowest common multiple of b and u? 27 Suppose -5*z - 201 = -j + 65, -j - 5*z + 276 = 0. Let v = 88 - j. What is the common denominator of -71/18 and (1 - 4) + v/30? 90 Suppose 0 = -5*j + 3*j + 74. Suppose 3*v = o + 34, -4*v - 4*o + j = -19. Suppose -2*y + 4*y = v. What is the least common multiple of y and 4? 12 Let r = 1669 - 1663. Let v be 2 + 0 + 2/2. Calculate the common denominator of -3 + 45*v/r and 1/22. 22 Suppose 15*w - 1653 + 93 = 0. Calculate the lowest common multiple of 182 and w. 728 Let d = -8 + -39. Find the common denominator of 149/12 and (d/(-8))/(4/(-2)). 48 Suppose -2*d + 1648 = 5*s, -3*s - 5156 = -5*d - 1067. Let v = d - 9779/12. Calculate the common denominator of 61/44 and v. 132 Let b(s) = -s + 2. What is the least common multiple of b(-3) and 8? 40 Let q = 29 + -9. What is the smallest common multiple of q and 21/4*952/833? 60 Find the common denominator of 0 + 0 + 175/147 and 71/6. 42 Let b = -898/13 + 113629/1638. What is the common denominator of b and 13/576? 4032 Let n = 2/140817 + 12250939/9857190. Calculate the common denominator of n and -13/8. 280 Let b(w) be the first derivative of 2*w**3/3 - 2*w**2 - w + 3. Calculate the smallest common multiple of b(3) and 5. 5 Let c = 21 + 13. What is the smallest common multiple of c and ((-280)/42)/((-2)/6)? 340 Find the common denominator of -151/18 and (-182)/(-60) + 0 + -11 + 11. 90 Suppose 22 = 23*r - 21*r. Let x = r + 3. What is the least common multiple of 26 and x? 182 Let y = 1/151 + 895/1661. Let m be (-1)/(-2) - (-4)/(440/(-7591)). Let a = 353/5 + m. Calculate the common denominator of y and a. 11 Let x = 631 + -553. Calculate the smallest common multiple of 5 and x. 390 Let t be 1 - 0 - (-25825)/6. Let m = t + -4294. What is the common denominator of m and -31/9? 18 Let r = -2/28357 - -2524261/6919108. Calculate the common denominator of -127/36 and r. 2196 Let l(s) = -s**3 + 17*s**2 + 21*s - 52. Calculate the least common multiple of 60 and l(18). 60 Let v be (-28)/(-18)*32 - (-16)/72. Suppose -5*a + v = -230. What is the smallest common multiple of 10 and a? 280 Suppose -5*k = 5*g + 10, -19 = -4*k + 3*g + 2*g. What is the common denominator of 29/3 and (-97)/(-18) - k/(-2)? 9 Find the common denominator of 819/(-28) - 48/(-6) and -21/104. 104 Let l = -4/9465 + -71279/56790. What is the common denominator of 23/126 and l? 630 Let u(w) = -2930*w**3 + w. Suppose -2*s - 2*g = 2*s, 2*s = -4*g + 6. Let q be u(s). Let m = -32179/11 + q. Find the common denominator of -65/2 and m. 22 Let y(o) = 1232*o**2 - 6*o - 3. Let r be y(-3). Let b = 244357/22 - r. Calculate the common denominator of b and (-220)/(-6)*(-8)/64. 132 What is the common denominator of 2/(-8) - (-254)/(-120) and 1937/(-351) - (4 - 12)? 270 What is the common denominator of 97/54 and -10 + -35*343/(-1197)? 1026 Suppose 9*h = -41 - 22. Calculate the common denominator of 95/3*h/35 and 25/3. 3 Let m be (-4)/(-10) - 43/45. Let k = -389/36 - m. Let d = 3/110 - 1057/440. What is the common denominator of d and k? 8 Suppose 4*x + 54 = 82. What is the smallest common multiple of 223 and x? 1561 Let r = -452/37 + 31204/2627. What is the common denominator of -41/4 and r? 284 Calculate the common denominator of 73/12 and 295/(-40)*4/(-8). 48 Let o = -112/93 + 15/124. What is the common denominator of -38/9 and o? 36 Let b =
{ "pile_set_name": "DM Mathematics" }
of picking 2 q and 1 u when three letters picked without replacement from ukqkquqkqkkkqkk. 4/91 Three letters picked without replacement from nhhwohwhzwnhng. What is prob of picking 1 o and 2 w? 3/364 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from etneeneeeeteehwe. 1/56 What is prob of picking 1 z and 2 t when three letters picked without replacement from lzlttttttttttt? 55/364 Four letters picked without replacement from {w: 1, k: 8, q: 2, s: 3, j: 1, l: 3}. What is prob of picking 2 k and 2 q? 7/765 Calculate prob of picking 2 z and 1 c when three letters picked without replacement from {i: 2, n: 2, z: 2, c: 4}. 1/30 Four letters picked without replacement from yvyhvvvvvv. Give prob of picking 3 v and 1 y. 1/3 What is prob of picking 2 o when two letters picked without replacement from oro? 1/3 Calculate prob of picking 3 x when three letters picked without replacement from ssssxssssssxsssssx. 1/816 What is prob of picking 1 c and 1 d when two letters picked without replacement from {e: 10, j: 1, c: 1, v: 1, d: 3, i: 2}? 1/51 What is prob of picking 2 n and 1 f when three letters picked without replacement from feflaanllfnnflllneyl? 2/95 What is prob of picking 2 w when two letters picked without replacement from rwwrr? 1/10 Two letters picked without replacement from ddirdrrrid. Give prob of picking 2 i. 1/45 What is prob of picking 1 q and 1 v when two letters picked without replacement from {d: 5, r: 3, q: 1, v: 1}? 1/45 Calculate prob of picking 1 g and 1 v when two letters picked without replacement from ellegueeluluuveve. 1/68 Three letters picked without replacement from xxnxuxxxaxunnanr. What is prob of picking 3 x? 1/16 Two letters picked without replacement from {o: 2, d: 1, n: 2, l: 1, a: 1, t: 2}. Give prob of picking 1 a and 1 t. 1/18 What is prob of picking 1 r, 1 w, and 1 k when three letters picked without replacement from knwwrhwwrw? 1/12 Two letters picked without replacement from {x: 3, y: 1, b: 2, l: 8, j: 1, w: 1}. What is prob of picking 1 w and 1 x? 1/40 Three letters picked without replacement from bbbbbbbbbbbbbbabbbb. What is prob of picking 2 b and 1 a? 3/19 What is prob of picking 3 s when three letters picked without replacement from {s: 3, g: 1}? 1/4 Calculate prob of picking 2 j when two letters picked without replacement from jjjjj. 1 Three letters picked without replacement from {g: 13, e: 5}. What is prob of picking 3 g? 143/408 Three letters picked without replacement from uuuuiuxuuuxxuxuxufuu. What is prob of picking 1 u, 1 i, and 1 x? 13/228 Four letters picked without replacement from usuqmqusu. What is prob of picking 2 u and 2 s? 1/21 Three letters picked without replacement from {i: 14, j: 4}. What is prob of picking 2 j and 1 i? 7/68 What is prob of picking 2 h and 1 n when three letters picked without replacement from anaaahnha? 1/42 Two letters picked without replacement from {f: 1, v: 2, c: 2, l: 1}. What is prob of picking 1 l and 1 c? 2/15 Two letters picked without replacement from iiviiinii. What is prob of picking 1 v and 1 i? 7/36 What is prob of picking 1 w and 1 u when two letters picked without replacement from ycruuyuucwrcyyrccru? 5/171 What is prob of picking 2 f when two letters picked without replacement from ifiqiifm? 1/28 Two letters picked without replacement from {d: 1, k: 7}. Give prob of picking 1 k and 1 d. 1/4 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from pvkkpvrvvkpmkpvr. 1/30 Two letters picked without replacement from {r: 2, o: 2, n: 1, y: 4}. What is prob of picking 2 r? 1/36 What is prob of picking 2 s when two letters picked without replacement from {s: 4, g: 8, o: 2}? 6/91 Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {m: 1, j: 1, s: 1, a: 1, o: 1, u: 2}. 2/21 Calculate prob of picking 1 q and 2 g when three letters picked without replacement from {t: 1, g: 4, z: 2, q: 3, s: 6}. 9/280 Calculate prob of picking 2 y and 2 h when four letters picked without replacement from txtxhyhhyxfk. 1/165 Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {p: 2, f: 3, a: 2, z: 2}. 1/14 Two letters picked without replacement from lzzzzzzzlzzllzlyzz. What is prob of picking 1 l and 1 z? 20/51 What is prob of picking 1 f and 1 r when two letters picked without replacement from {f: 5, r: 3}? 15/28 Four letters picked without replacement from kkkk. Give prob of picking 4 k. 1 Three letters picked without replacement from {v: 1, d: 1, h: 1, y: 1, o: 2, w: 1}. What is prob of picking 1 o, 1 h, and 1 w? 2/35 Two letters picked without replacement from {q: 1, k: 3, i: 4}. Give prob of picking 1 q and 1 k. 3/28 Four letters picked without replacement from {q: 17, n: 3}. Give prob of picking 2 q and 2 n. 8/95 Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {d: 1, g: 2, c: 1, o: 2, u: 1}. 2/21 What is prob of picking 2 f when two letters picked without replacement from fvflllvlv? 1/36 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {f: 2, m: 2, x: 4, o: 2}. 8/45 What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 1, j: 3, o: 4}? 3/28 Two letters picked without replacement from {c: 1, p: 2, f: 1, h: 1}. What is prob of picking 2 p? 1/10 What is prob of picking 2 d and 1 y when three letters picked without replacement from {a: 4, r: 4, k: 2, q: 1, d: 2, y: 1}? 1/364 Two letters picked without replacement from yffeyeeyefqyeffyfyf. What is prob of picking 1 f and 1 e? 35/171 Two letters picked without replacement from {y: 6, u: 2}. Give prob of picking 1 u and 1 y. 3/7 What is prob of picking 1 d, 1 r, and 1 a when three letters picked without replacement from {r: 2, d: 4, a: 2}? 2/7 What is prob of picking 2 z and 2 h when four letters picked without replacement from {z: 4, x: 10, h: 6}? 6/323 Two letters picked without replacement from {g: 6, l: 1, d: 1, r: 1}. Give prob of picking 1 d and 1 l. 1/36 Calculate prob of picking 1 l, 1 p, and 1 i when three letters picked without replacement from {y: 4, r: 1, p: 1, l: 1, i: 1}. 1/56 What is prob of picking 1 v and 1 y when two letters picked without replacement from dmdmvydvmvmmdmmd? 1/40 What is prob of picking 1 h, 1 s, and 1 k when three letters picked without replacement from sshtttsktttt? 3/220 Three letters picked without replacement from {h: 11, l: 3, g: 5, q: 1}. What is prob of picking 1 g and 2 h? 55/228 Two letters picked without replacement from {p: 2, u: 7, h: 11}. Give prob of picking 2 h. 11/38 Calculate prob of picking 2 c when two letters picked without replacement from rwwwvcwpwcpwwrprr. 1/136 Two letters picked without replacement from nnnccnnnn. What is prob of picking 2 c? 1/36 Calculate prob of picking 2 b when two letters picked without replacement from qqbbq. 1/10 Four letters picked without replacement from {l: 1, m: 9, n: 4}. What is prob of picking 4 n? 1/1001 Calculate prob of picking 2 x when two letters picked without replacement from {i: 4, k: 10, x: 2}. 1/120 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {w: 7, c: 2, b: 8, g: 3}. 28/95 What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 1, m: 7}? 1/4 What is prob of picking 3 r and 1 d when four letters picked without replacement from {z: 2, r: 3, k: 1, d: 4, b: 7}? 1/595 What is prob of picking 2 c and 1 e when three letters picked without replacement from {u: 3, b: 12, c: 2, e: 2, q: 1}? 1/570 What is prob of picking 3 s and 1 n when four letters picked without replacement from nlsnqqsrsqjnj? 3/715 What is prob of picking 1 v and 1 f when two letters picked without replacement from vffhhfhhfh? 4/45 Two letters picked without replacement from ojo. Give prob of picking 2 o. 1/3 Three letters picked without replacement from {e: 1, k: 3, p: 4, y: 1, x: 2}. Give prob of picking 1 p, 1 e, and 1 y. 4/165 Two letters picked without replacement from qqjggqxqjglqjqlj. What is prob of picking 1 g and 1 x? 1/40 Two letters picked without replacement from xbexgeee. Give prob of picking 1 e and 1 b. 1/7 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
**2 + k + 4. What is the units digit of q(z)? 2 Suppose 13 = 3*o + 1. Suppose -o*r = -3*g + 31, -r + 44 = g + 4*g. What is the units digit of g? 9 Let z = 10 - 6. Let j(q) = 3*q - 1. Let l be j(z). Let k = -7 + l. What is the units digit of k? 4 Let u(l) = -3*l + 38. What is the tens digit of u(-13)? 7 Let h = 45 + -72. Let b = -15 - h. What is the units digit of b? 2 Let v be 2/(-6) + (-4)/(-12). Suppose 0 = -4*b + 2*s - 11 + 29, -3*b - s + 21 = v. What is the units digit of b? 6 Let k(m) = m**3 + 5*m**2 + 5*m + 6. Let d be k(-4). Suppose -2*z + 60 = d*z. What is the tens digit of z? 1 Let m(n) be the second derivative of n**4/6 + n**3 + 2*n**2 + 8*n. What is the units digit of m(-4)? 2 What is the hundreds digit of (-17 + 68)/((-2)/(-12))? 3 Let s = -15 + 26. Let t(l) = 1 - 1 + s*l**3 + l**2 - l. What is the units digit of t(1)? 1 Suppose 0 = 7*b - 3*b - 524. Suppose 4*m - 2*f - b = -f, 0 = -5*m - 3*f + 151. What is the units digit of m? 2 Suppose 3*f = -5*s + 118, 2*f - 4 = -2*f. What is the units digit of s? 3 Let j(x) = -x**2 - 14 + 6 + 8*x + 2. What is the units digit of j(6)? 6 Suppose 0 = 3*y + 3*w - 12, -5*w + 0 = 4*y - 17. Suppose 2*u + 57 - 443 = -5*i, 219 = 3*i - y*u. Suppose -i = -11*q + 7*q. What is the tens digit of q? 1 Let s be 10/3*(-24)/(-20). Suppose 24 = v - 5*a, 3*v - 36 = v + s*a. What is the tens digit of v? 1 Let u(l) = -22*l - 27. What is the units digit of u(-3)? 9 Let w = -2 + 6. Let p = 1 - w. Let s = -1 - p. What is the units digit of s? 2 Suppose i + 4*l + 2 + 4 = 0, 0 = 5*i - 4*l - 18. What is the units digit of i? 2 Let o(w) = 3*w**2 + w. Let n(s) = -13*s**2 - 4*s - 1. Let z(a) = 2*n(a) + 9*o(a). What is the units digit of z(-3)? 4 Suppose 9 = 3*t - 4*t - h, -3*t = 4*h + 27. What is the units digit of 81/t*2/(-3)? 6 Let r(i) = i**3 + 3*i**2 - i - 4. Let d be r(-2). Suppose -2*j + 5*l + 50 = -j, d*l = j - 35. What is the units digit of j? 5 What is the tens digit of ((-44)/(-5))/((-16)/(-40))? 2 Let w be (1 + 1)/2 + 1. Suppose -4*x - 3*h = -89, -3*x - w*x - 3*h + 115 = 0. What is the tens digit of x? 2 Let r(a) = 5*a - 1. Let w be r(2). Let t(q) = q**2 - 10*q + 7. Let b be t(w). Let o = b + 10. What is the units digit of o? 8 Let i(p) be the third derivative of p**5/30 - p**4/8 - p**3/2 + 2*p**2. What is the tens digit of i(5)? 3 Suppose -221 + 17 = -w + 3*c, -4*w + 800 = -4*c. What is the tens digit of w? 9 Suppose -65 - 99 = -w. What is the tens digit of w? 6 Let o(k) be the third derivative of k**4/12 - 7*k**3/6 + 2*k**2. What is the units digit of o(8)? 9 Let n(x) = -x**3 + x**2. What is the units digit of n(-3)? 6 Let z(d) = -d**2 - 7*d - 2. Let c be 33/(-5) + (-15)/(-25). What is the units digit of z(c)? 4 Suppose -c - 3 = -1. Suppose -7*d + 90 = -2*d. What is the units digit of c*(d/(-4) - -2)? 5 Suppose -2*h + 5*w = -162, -h = 2*h + 4*w - 289. What is the tens digit of h? 9 Let u = -1 - -1. Let a = 9 - 6. Suppose -8*m + 57 = -3*m + a*s, -2*s + 8 = u. What is the units digit of m? 9 Let a be 27/15*(6 - 1). Let b = 19 - a. What is the units digit of b? 0 Let b = -4 + 4. Let a be b*(-5 + 2)/3. Suppose a*o + 48 = 4*o. What is the units digit of o? 2 What is the units digit of 810/21 - (-9)/21? 9 Let m = 9 + -11. What is the units digit of m/(-1) + 5 + 1? 8 Suppose 4*u - 18 = -2*u. What is the units digit of u? 3 Suppose 9*n - 294 = 3*n. What is the units digit of n? 9 Suppose 15 = -4*g - 21. Let m(y) = y**2 + 10*y + 13. Let z be m(g). Suppose 3*j - 16 = z*t + t, -5*j = -3*t - 16. What is the units digit of j? 2 Suppose 7*i = -49 + 1456. What is the hundreds digit of i? 2 Let a(v) = -v**2 + 12*v + 14. What is the units digit of a(13)? 1 Let g = 351 + -200. What is the tens digit of g? 5 Let x = 296 + -210. What is the units digit of x? 6 Let w(d) = 2*d - d + d - d - 2. Let r be w(-2). Let p(m) = -m**3 - 3*m**2 + 3*m. What is the units digit of p(r)? 4 Suppose 4*f = -y + 20, -4*f + 4 = -y - 0*y. Let w(n) = 4*n**2 + 3*n - 3. Let v(q) = q**2 - q - 1. Let m(p) = -5*v(p) + w(p). What is the units digit of m(y)? 2 Let t(m) = 22*m**2. Let c be t(1). Suppose 13 = 5*r - c. What is the units digit of r - (1 + -1 + 0)? 7 Let k(p) = 21*p. Let j be k(1). Let q(c) = 3*c**2 + j - c - 5*c**2 + c**2. What is the units digit of q(0)? 1 Suppose -2*w - 19 = -2*c + 61, -5*w = -c + 32. Suppose 5*j - 162 = -c. What is the tens digit of j? 2 Let t(p) = 2*p**2 + 4*p - 1. Let w = 2 - 0. Let m be (1/(-2))/(w/12). What is the units digit of t(m)? 5 Let b be 4 + 2 - (-6)/2. What is the units digit of ((-3)/b)/(2/(-54))? 9 Let r(t) = -4*t - 8. What is the units digit of r(-11)? 6 Suppose 2*k = 27 + 35. What is the units digit of k? 1 Suppose -2*m = 2 - 6. Suppose -3*c = 5*h - 56, -5*c - 10 = -0*h - m*h. What is the tens digit of h? 1 Let z be (-1)/(-4) - 57/(-12). Let f be (-1 - z)*(-2)/4. What is the units digit of (f/(-5))/((-3)/45)? 9 Suppose -l + 3*d - 2 = -15, 0 = -3*l + 3*d + 15. What is the units digit of (2 + (-1)/l)/1? 1 Suppose 34 = -0*x + 2*x. Let r(f) = f**2 + 5*f - 3. Let n be r(-3). Let d = x + n. What is the units digit of d? 8 Let w(x) = -x**3 + 8*x**2 - 4*x + 4. What is the tens digit of w(5)? 5 Let v = 13 + -8. Suppose -v*b + 195 = 5*l, 83 = 2*l - 3*b - 0. Suppose -l = -6*s + 2*s. What is the units digit of s? 0 Suppose 0 = -0*b - 4*b + 168. What is the tens digit of b? 4 What is the units digit of 10/35*7*2? 4 Let f be (-70)/(-6) - (-1)/3. Suppose 40 = d + 14. Let c = d - f. What is the tens digit of c? 1 Suppose 62 = 2*b - 4*v, 177 = 5*b + v - 0*v. What is the units digit of b? 5 Let d(q) = 1 + 2 + 4*q - 3*q. Let i be d(-2). Suppose -2*z + 7 = -i. What is the units digit of z? 4 Suppose -4*f = 4*q - 152, -2*f - 8 = 2*f. What is the tens digit of q? 4 Let z = -1 + -2. Suppose j + 4 = 2*j. Let f = z + j. What is the units digit of f? 1 Suppose 6 = -2*g + 3*g. Let r = g + -4. Suppose 0 = w + r*w - 6. What is the units digit of w? 2 Let x(q) = q**3 - 12*q**2 + 4. Let g be x(12). Suppose -12 = -g*p, -2 = h - p - 0. What is the units digit of h? 1 What is the units digit of (-74 + -5)*-1*1? 9 Let b be (-172)/14 - (-6)/21. Let k = b - -23. What is the units digit of k - (4 - (2 - 0))? 9 Let f be (2 - 5) + 5 + -6. Let m(h) = -h**3 - 4*h**2 - 3*h - 6. What is the units digit of m(f)? 6 Suppose -1 = -5*l + 4*s + 6, 4*l - 4*s = 4. Let u(q) = -2*q - 4. Let c be u(-3). Suppose -a + l*d + 17 = c, d + 33 = 5*a. What is the units digit of a? 6 Let g = 53 + -29. What is the units digit of g? 4 Suppose 2*k + 7 = 4*k + 5*y, 3*k + y = 4. Let s = k + 5. What is the units digit of s? 6 Suppose 5 = 5*f, 0 = 3*p - 7*p - 3*f + 15. Let v(c) = -3*c + 1. Let r(x) = -6*x + 2. Let o(k) = -6*r(k) + 11*v(k). What is the units digit of o(p)? 8 Let g(f) = -f**2 + 12*f - 9. Let w = -7 + 21. Let a be g(w). Let b = a - -57. What is the tens digit of b? 2 Let s(o) = -o**3 + 8*o**2 + 2*o + 10. Let i be s(8). Suppose -i = -4*x - 2. What is the units digit of x? 6 Suppose -2*m + 0 = -a + 12, -5*m + 2*a - 29 = 0. Let z = 9 + m. Suppose -4*x + 2 - 7 = -3*o, 0 = -4*x + z. What is the units digit of o? 3 Let b = -17 + 12. Let a(h) = -h + 3. Let g be a(15). What is the units digit of (g/(-10))/((-1)/b)? 6 Let c(d) = d - 1. Let f(w) = -5*w + 4. Let a(q) = -9*c(q) - 2*f(q). Let i be a(-4). Let u = i - -8. What is the units digit of u? 5 Suppose -1181 = -5*u + 44. Suppose -u = -0*b - 5*b. Suppose 4*a = 23 + b. What is the units digit of a? 8 Let x(h) = h**3 + 7*h**2 + 4*h + 1. Let j(m) = m + 5. Let v be j(-3). Suppose -10 = 3*p - v*o, -4*p - 41 = o - 13. What is the tens digit of x(p)? 1 Let z(h) = h. Let k(t) = 4*t - 7. Let d(q) = -k(q) + 5*z(q). Let p be (-1 + 3 + -2)/(-1). What is the units digit of d(p)? 7 Let y = 93 + -51. What is the units digit of y? 2 Let m(q) = -5*q. Let x be m(-1). Suppose x*f = -15, 5*s - 39 + 2 = -f. Let a = -4 + s. What is the units digit of a? 4 Let n(r) = r**2 - 10*r - 10. What is the tens digit of n(-6)? 8 Let w = -76 + 152. What is the units digit of w? 6 Suppose l + s + 51 = -s, 2*l + 67 = 3*s. Let d = 68 + l. What is the units digit of d? 7 What is the tens digit of (9/2)/((-1)/(-18))? 8 Let m(a) be the first derivative of 5*a**4/24 - a**2/2 - 1. Let k(h) be the second derivative of m(h). What is the tens digit of k(3)? 1 Supp
{ "pile_set_name": "DM Mathematics" }
3*s(d)? -2*d - 4 Let h(a) be the first derivative of 14*a**3/3 - 5*a**2/2 + 3*a + 27. Let w(o) = -o**2 + o - 1. What is -h(z) - 5*w(z)? -9*z**2 + 2 Suppose -2*u = -3*n + 4, -5*n = -4*n + 3*u - 16. Let j(q) = n*q - 2*q + 3 + 0. Let y(x) = -x - 1. Give -2*j(b) - 7*y(b). 3*b + 1 Let q(y) = -2*y**2 - 25*y**3 + 7*y**3 + 5*y**3 + 4 - y**2 - 2*y**2. Let r(u) = 7*u**3 + 3*u**2 - 2. Determine -4*q(g) - 7*r(g). 3*g**3 - g**2 - 2 Let l(i) = -5*i - 4. Let n(y) = 2*y + 2. Suppose -4*p - 4*a + 50 = p, -a - 33 = -2*p. Let m be 3*p/(-6)*1. What is m*n(b) - 3*l(b)? b - 2 Let h(a) = -33*a - 17. Let k(n) = 34*n + 14. Determine -5*h(i) - 6*k(i). -39*i + 1 Let w(k) = -k**3 + 2*k**2 + 2*k + 1. Let r(t) = -2*t**3 + 5*t**2 + 5*t + 3. Let v(x) = -3*x**2 - 8*x + 22. Let n be v(-4). What is n*r(o) - 15*w(o)? 3*o**3 + 3 Let w(z) = 10*z**2 + 3*z + 7. Let l be 3/((81/30)/(-9)). Let b = l - -3. Let p(q) = 3*q**2 + q + 2. Give b*p(m) + 2*w(m). -m**2 - m Let u(m) = -3*m**3 + 96*m**2 + 5*m. Let a(d) = -d**3 + d**2 + d. Determine 5*a(q) - u(q). -2*q**3 - 91*q**2 Let z(t) = 8 - 3 + 0 + 17*t - 4 + 8. Let w(f) = 8*f + 4. Give -5*w(b) + 2*z(b). -6*b - 2 Let h(v) = 21*v**2 + 7*v + 7. Let u(q) = -10*q**2 - 4*q - 4. Let p(m) = -2*h(m) - 5*u(m). Let g(l) = -l - 1. Determine 6*g(y) + p(y). 8*y**2 Let z(b) = 5*b**3 + 3*b**2 - 3*b - 3. Let g = 1 + 1. Let y(x) be the first derivative of x**4 + 2*x**3/3 - x**2 - 2*x - 46. Calculate g*z(s) - 3*y(s). -2*s**3 Let v(z) = z - 7. Let m = -4 + 22. Let w be (-116)/18 + 8/m. Let h(q) = q**2 + 3*q - 3. Let s be h(-4). Let c(l) = -1. Calculate s*v(f) + w*c(f). f - 1 Let a(v) = 2*v**2 - v**2 - 2*v**2 - 1 + 0*v**2. Let x(i) = -6*i**2 - 2*i - 10. Let w = -18 - -17. Calculate w*x(r) + 8*a(r). -2*r**2 + 2*r + 2 Let w(b) = 4*b**3 - 6*b**2 + 3*b - 6. Let r(a) = -2 - 2 + 6*a - a + 7*a**3 - 7 - 11*a**2. Let d = -80 - -86. Calculate d*r(u) - 11*w(u). -2*u**3 - 3*u Let j(w) = -8*w**3 - 4*w**2 - 3*w + 7. Let z(s) = -s**3 + s**2 - s + 1. Give j(a) - 2*z(a). -6*a**3 - 6*a**2 - a + 5 Let z(w) = 3*w**3 + 5*w**2 + 5*w. Let g be 349/8 + -4 + 6/16. Let t = g - 44. Let d(c) = -2*c**3 - 4*c**2 - 4*c. What is t*z(b) - 5*d(b)? -2*b**3 Let n(j) = 19*j**3 - 2*j**2 - 1. Let w(k) = 18*k**3 - 2*k**2 - 1. Calculate 2*n(q) - 3*w(q). -16*q**3 + 2*q**2 + 1 Let l(j) = j**2 - 18*j + 73. Let u be l(10). Let t(d) = -8*d**3 - 7*d. Let z(m) = -6*m**3 + 2*m**3 - 3*m + 2*m - 2*m. Calculate u*z(h) + 3*t(h). 4*h**3 Let z(f) = 8*f**2 + f - 40. Let o(p) = p**2. Give 6*o(c) - z(c). -2*c**2 - c + 40 Let x(g) be the second derivative of g**5/10 + 7*g**4/12 - g**3/3 - 185*g. Let u(j) = 5*j**3 + 20*j**2 - 6*j. What is 3*u(z) - 8*x(z)? -z**3 + 4*z**2 - 2*z Let m(h) = h. Let j(x) = 2*x**2 + 8*x + 2. Let t(c) = -c**3 + 5*c**2 + 8*c - 4. Let s = 138 + -132. Let a be t(s). Determine a*m(u) - j(u). -2*u**2 - 2 Let u(q) = -2*q - 11. Let p(h) = -3*h - 55. Let a(n) = -n - 21. Let c(y) = 5*a(y) - 2*p(y). Determine 9*c(d) + 4*u(d). d + 1 Let p(y) = 3*y**2. Let b(z) be the first derivative of -3*z**3 - 106. Calculate 6*b(x) + 17*p(x). -3*x**2 Let g(u) = -25*u + 88. Let j(o) = 29*o - 88. Give 7*g(r) + 6*j(r). -r + 88 Let t(h) = -9*h - 2. Let w(g) = g + 1. Calculate t(y) - 3*w(y). -12*y - 5 Let t(x) = -x**3 - x - 6. Let a(i) = -i - 7. Let v be a(-1). Let u(k) = k**3 + 2*k + 7. Give v*u(l) - 7*t(l). l**3 - 5*l Let z(i) = -2*i**2 - 3*i + 4. Suppose 0 = 7*j - 2*j, -3*j = -b + 2. Let g(a) = 0*a + 4 + 0*a**b - 5 + a**2 + a. Let n = 1 + -2. Give n*z(w) - 3*g(w). -w**2 - 1 Let r(f) = 2*f + 2. Let q be 3 - 3/(3/1). Let o(x) = x + 1 + 4*x + q - x. Let z(d) = -d**3 + d**2 - 3*d + 6. Let p be z(2). Give p*o(c) + 7*r(c). -2*c + 2 Let g(n) = 10*n**3 - 6*n**2 + 12*n + 38. Let c(b) = 21*b**3 - 13*b**2 + 26*b + 75. Determine -6*c(l) + 13*g(l). 4*l**3 + 44 Let h(w) = -5*w**2 + 3*w + 62. Let i(u) = -6*u**2 + 4*u + 61. Give 4*h(b) - 3*i(b). -2*b**2 + 65 Let a be ((-3)/(-5))/((-4)/20). Let q(h) be the third derivative of -h**4/24 + h**3/6 - h**2 - 191. Let d(c) = 4*c**2 + 4*c - 3. Calculate a*q(o) - d(o). -4*o**2 - o Let s(i) be the second derivative of -5*i**3/2 - 9*i**2/2 - 5*i. Let b(z) = -32*z + 1. Let v(m) = 15*m. Let c(n) = -4*b(n) - 9*v(n). What is 9*c(u) - 4*s(u)? -3*u Let j(y) = -y**2 - y + 1. Let f(z) = -z**2 - 2. Let o(n) = 8*n - 25. Let l be o(3). What is l*f(x) - j(x)? 2*x**2 + x + 1 Let x(d) = 8*d - 41. Let f be x(5). Let u(b) = -1. Let v(k) = -k - 7. Calculate f*v(h) + 5*u(h). h + 2 Let d(i) = -11*i - 9. Let c(s) = 35*s + 30. Let f(n) = 2*c(n) + 7*d(n). Let r(w) = w - 1. Calculate f(z) - 4*r(z). -11*z + 1 Let r(c) = -c**3 - 7*c**2 + 2. Let p(d) be the first derivative of -1/4*d**4 + 3 - 8/3*d**3 + 2*d + 0*d**2. Calculate -6*p(h) + 7*r(h). -h**3 - h**2 + 2 Let u(k) = -50*k - 1. Let l(c) = -c - 1. Calculate -2*l(o) + u(o). -48*o + 1 Let m be 4 - 4/(-4)*-2. Let w(g) = 2 + 2*g + 0 - m*g - g. Suppose 3*i = -3 - 6. Let j(z) = -z + 1. What is i*w(t) + 6*j(t)? -3*t Let b(a) = 12*a. Let h be 11/44 - 62/(-8). Let r = 2 - h. Let t be -2 + r/3 - -19. Let z(x) = 3*x. Determine t*z(q) - 4*b(q). -3*q Let b(s) = -1 - 9*s + 1. Let t(r) = -74*r - 3. Let w be t(-2). Let d(g) = 145*g - 286*g + w*g. Calculate 6*b(h) + 13*d(h). -2*h Let h(d) = d - 34. Let z(c) = -1. Calculate -h(k) - 6*z(k). -k + 40 Suppose 5*q - 66 = -6*q. Let d(l) = -4*l**2 - 6*l + 7. Let a(w) = 4*w**2 + 5*w - 6. Give q*a(k) + 5*d(k). 4*k**2 - 1 Let l(w) = w**3 - w**2 + 1. Let z(x) = -8*x**3 + 6*x**2 - 40*x - 6. Give -6*l(s) - z(s). 2*s**3 + 40*s Let a(x) = 439*x**2 + 15*x - 8. Let c(w) = w**2 - 3*w + 2. Give -a(g) - 5*c(g). -444*g**2 - 2 Let d(n) = n + 73. Let q(v) = 25. Give 2*d(a) - 7*q(a). 2*a - 29 Suppose 0 = -3*a - 6 - 6. Let t(c) be the second derivative of -17*c**3/6 + 3*c**2/2 - 15*c. Let s(p) = 6*p - 1. Give a*t(d) - 11*s(d). 2*d - 1 Suppose 0 = 2*h + 3*h + 2*i + 20, -3*h + 2 = 4*i. Let r(b) = -4*b**3 - 2*b. Let m(c) = 4*c**3 + 3*c. Determine h*r(j) - 4*m(j). 8*j**3 Let h = 11 + -24. Let g(b) = -11*b - 12. Let s(c) = 22*c + 23. Let r(j) = 5*g(j) + 3*s(j). Let d = -3 + -3. Let t(k) = -5*k - 4. Calculate d*r(i) + h*t(i). -i - 2 Let v(o) = 2*o**2 - 3*o - 1. Let g(p) = -1 - 1190*p**2 - p + 1 + 1191*p**2. Determine 4*g(z) - v(z). 2*z**2 - z + 1 Let p = 1056 + -1061. Let f(w) = 17*w**3 - 5*w**2 - 5. Let t(n) = 9*n**3 - 3*n**2 - 3. What is p*t(s) + 3*f(s)? 6*s**3 Let y(h) = -847*h**2 - 721*h + 868. Let i(s) = 85*s**2 + 72*s - 87. Let r(t) = 49*i(t) + 5*y(t). Let k(b) = b**2 + b - 1. Give -154*k(c) - 2*r(c). -14*c**2 Let g(m) = -m**3 + 24*m**2 - 24*m + 28. Let f be g(23). Suppose s = 4*s + f*b + 32, -4*b - 4 = 0. Let w(v) = 1. Let u(n) = n + 4. Determine s*w(i) + 2*u(i). 2*i - 1 Let l(o) = 9*o**2 - 5*o - 5. Suppose 3*m - 16 = -4. Let s(i) be the first derivative of 8*i - 14/3*i**3 - 1 + m*i**2. Determine -8*l(t) - 5*s(t). -2*t**2 Let t(s) = -5*s + 1. Let y(z) = 11*z - 11. Give -6*t(b) - y(b). 19*b + 5 Let f(s) = 4*s**3 - 8*s**2 + 30*s. Let z(t) = -5*t**3 + 9*t**2 - 36*t. Let o(m) = 6*f(m) + 5*z(m). Let u(h) = 2*h**3 + 2*h**2. Calculate -2*o(d) - 3*u(d). -4*d**3 Let h(a) = -5*a**2 - 3*a + 3. Suppose -2*y - 10 = 3*y. Let t(u) = -2 + 528*u**2 + 0*u + 2*u - 523*u**2. What is y*h(g) - 3*t(g)? -5*g**2 Let d(s) = 5 + 35*s - 68*s + 36*s - 6. Let y(a) = -1. Determine d(t) - 2*y(t). 3*t + 1 Let u(g) = -g**2 - g. Let l = 527 + -528. Suppose 0 = 4*w - 2*o - 16, -2*w + 5*w - 2 = 4*o. Let f(t) = -2*t**3 - 6*t**2 - 6*t + 2. Calculate l*f(c) + w*u(c). 2*c**3 - 2 Let w(c) = 9*c - 6. Let x(g) = 36*g - 21. Let i(z) = 15*w(z) - 4*x(z). Let v(b) = -8*b - 5. Determine 4*i(o) - 5*v(o). 4*o + 1 Suppose 16*c - 1190 = -1222. Let l(z) be the first derivative of 3*z**2/2 - 1. Let v(r) = r. Determine c*v(s) + l(s). s Let k(s) = 3*s**2 + 10. Let q(r) = -r**3 + 13*r**2 + 30. Calculate -7*k(x) + 2*q(x). -2*x**3 + 5*x**2 - 10 Let c(k) = k**2 - k + 1. Let q = 1359 + -1355. Let m(h) = -1. Suppose 10 = 5*s - 0*s. Determine q*m(y) + s*c(y). 2*y**2 - 2*y - 2 Let a(l) = -23*l**3 + l**2 - 12*l - 10. Let h(i) = 6*i**3 + 1. Determine -a(o) - 4*h(o). -o**3 - o**2 + 12*o + 6 Let f(u) = -5*u**3 - 103*u**2 + 4*u + 4. Let g(c) = -14*c**3 - 306*c**2 + 11*c + 11. What is -11*f(n) + 4*g(n)? -n**3 - 91*n**2 Let b(u) be the third derivative of u**5/20 + 2*u**2 + 44*u. Let p(n) = -n**2. Determine -3*b(o) - 3*p(o).
{ "pile_set_name": "DM Mathematics" }
and 3 n when four letters picked without replacement from {r: 3, n: 3, a: 2, k: 1, f: 1}. 1/70 Three letters picked without replacement from kudtudatxuktuxaadxu. Give prob of picking 1 d, 1 a, and 1 x. 9/323 What is prob of picking 2 u and 1 f when three letters picked without replacement from uuquqqf? 3/35 Four letters picked without replacement from {q: 2, x: 1, t: 5, p: 6, b: 5, d: 1}. Give prob of picking 1 p, 2 b, and 1 t. 20/323 What is prob of picking 1 z and 3 t when four letters picked without replacement from {z: 9, t: 3}? 1/55 Four letters picked without replacement from ttttctttzbcddzob. What is prob of picking 1 d, 1 t, and 2 b? 1/130 Two letters picked without replacement from kgpgtggprgrgkrgtptkr. Give prob of picking 1 k and 1 r. 6/95 Three letters picked without replacement from dzeeeddddhosd. What is prob of picking 1 s, 1 e, and 1 z? 3/286 Calculate prob of picking 1 o and 2 q when three letters picked without replacement from oooqoooqoqqqoqoqoqqo. 33/95 Two letters picked without replacement from {m: 4, g: 10}. What is prob of picking 2 g? 45/91 Three letters picked without replacement from {t: 2, m: 3}. Give prob of picking 3 m. 1/10 Calculate prob of picking 3 f and 1 v when four letters picked without replacement from czvcfzzczfzizff. 4/1365 Calculate prob of picking 4 q when four letters picked without replacement from {c: 2, q: 4}. 1/15 Three letters picked without replacement from {g: 5, f: 5}. What is prob of picking 1 g and 2 f? 5/12 Four letters picked without replacement from {k: 5, y: 3, u: 2}. Give prob of picking 2 y and 2 k. 1/7 Two letters picked without replacement from {u: 6, h: 1, y: 2, x: 3, c: 4}. What is prob of picking 1 x and 1 u? 3/20 Calculate prob of picking 2 b and 2 q when four letters picked without replacement from nfnnqanabnabaeq. 1/1365 Two letters picked without replacement from {j: 4, r: 1, y: 2, u: 2, s: 1}. What is prob of picking 1 s and 1 y? 2/45 What is prob of picking 2 y when two letters picked without replacement from yyxkoxppz? 1/36 Three letters picked without replacement from {b: 5, o: 4, i: 1, v: 2, c: 5, x: 3}. Give prob of picking 1 x, 1 i, and 1 o. 1/95 Three letters picked without replacement from zbzhzaznzzhzzt. Give prob of picking 1 n, 1 z, and 1 t. 2/91 Three letters picked without replacement from {p: 5, h: 1, b: 3}. What is prob of picking 3 p? 5/42 What is prob of picking 2 f when two letters picked without replacement from gghffggghgfff? 5/39 Calculate prob of picking 2 n when two letters picked without replacement from {y: 2, n: 4}. 2/5 What is prob of picking 3 e when three letters picked without replacement from deewwwwcwwdewwjwdwjj? 1/1140 Two letters picked without replacement from {r: 5, n: 1, t: 3, y: 3, i: 3}. Give prob of picking 1 n and 1 r. 1/21 Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {i: 1, m: 4, d: 2}. 4/21 Four letters picked without replacement from {h: 2, a: 11, p: 2}. What is prob of picking 1 h, 1 a, and 2 p? 22/1365 Four letters picked without replacement from {k: 3, i: 7, s: 3, j: 1, g: 1, c: 2}. Give prob of picking 1 s, 1 k, 1 g, and 1 c. 9/1190 Calculate prob of picking 1 i and 1 p when two letters picked without replacement from wpihh. 1/10 What is prob of picking 2 x and 1 f when three letters picked without replacement from xnfxxnxxxnxnn? 21/286 Four letters picked without replacement from {o: 10, q: 3, i: 3, l: 3}. Give prob of picking 2 i, 1 l, and 1 q. 9/1292 What is prob of picking 1 b and 2 z when three letters picked without replacement from zbpjzjab? 1/28 Calculate prob of picking 3 h when three letters picked without replacement from {s: 1, v: 4, h: 3, e: 1, n: 2, a: 1}. 1/220 Four letters picked without replacement from nynndldynnlpnl. Give prob of picking 1 d, 2 y, and 1 l. 6/1001 Four letters picked without replacement from nwffmnwnnmfnnnn. Give prob of picking 2 m and 2 f. 1/455 Calculate prob of picking 2 z and 2 k when four letters picked without replacement from {k: 3, z: 13}. 9/70 Three letters picked without replacement from fpuguul. Give prob of picking 1 l, 1 f, and 1 g. 1/35 Two letters picked without replacement from {k: 1, g: 2, f: 1}. What is prob of picking 2 g? 1/6 What is prob of picking 1 m and 1 a when two letters picked without replacement from {m: 3, a: 1}? 1/2 Three letters picked without replacement from hhwwyhaaawxhwwr. What is prob of picking 1 y, 1 w, and 1 h? 4/91 Calculate prob of picking 1 l and 2 r when three letters picked without replacement from {r: 8, l: 3}. 28/55 Calculate prob of picking 2 r and 2 m when four letters picked without replacement from mdrcdcrmccccmrrrrrr. 7/323 Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, x: 2}. 7/12 Four letters picked without replacement from {g: 6, a: 2}. Give prob of picking 2 g and 2 a. 3/14 Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {j: 1, m: 1, w: 3, b: 7, u: 3, f: 2}. 9/680 Calculate prob of picking 1 g, 1 z, and 1 y when three letters picked without replacement from {i: 3, y: 2, q: 1, g: 1, z: 3, m: 1}. 2/55 Three letters picked without replacement from eeeeeexeeeeeeeeexeee. What is prob of picking 2 x and 1 e? 3/190 What is prob of picking 1 t and 3 q when four letters picked without replacement from qiyxyqyitqddtq? 8/1001 Four letters picked without replacement from ttlttlttltlaltatatal. What is prob of picking 1 l and 3 t? 48/323 Three letters picked without replacement from {m: 1, q: 1, l: 1, t: 2}. Give prob of picking 1 l, 1 t, and 1 m. 1/5 What is prob of picking 1 x and 1 t when two letters picked without replacement from txtdgotxt? 2/9 Two letters picked without replacement from {h: 1, c: 1, z: 3, g: 4, r: 1, s: 4}. Give prob of picking 1 z and 1 h. 3/91 What is prob of picking 1 a and 1 f when two letters picked without replacement from wflwgalg? 1/28 Four letters picked without replacement from wddwwdwdwww. What is prob of picking 3 w and 1 d? 14/33 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from csciiciccccncicic. 5/68 What is prob of picking 4 m when four letters picked without replacement from hmmmsshmhm? 1/42 Calculate prob of picking 2 j when two letters picked without replacement from rrrqrqjrrjrrqrr. 1/105 Three letters picked without replacement from {u: 2, i: 10}. Give prob of picking 3 i. 6/11 Three letters picked without replacement from vvxcyyvvvvvvvvvx. Give prob of picking 2 x and 1 y. 1/280 What is prob of picking 2 w and 1 q when three letters picked without replacement from qqqwww? 9/20 Two letters picked without replacement from {k: 3, r: 3, z: 1}. What is prob of picking 2 k? 1/7 Four letters picked without replacement from qvsavqn. Give prob of picking 2 v, 1 n, and 1 s. 1/35 Four letters picked without replacement from lwqqqqlwwwwkqql. Give prob of picking 3 w and 1 q. 4/91 Two letters picked without replacement from pzppuppppzpuppuu. Give prob of picking 1 p and 1 z. 1/6 Four letters picked without replacement from {w: 9, u: 7}. Give prob of picking 4 u. 1/52 Calculate prob of picking 3 c when three letters picked without replacement from ssccqqvcvvv. 1/165 Three letters picked without replacement from {h: 2, g: 3, d: 1, p: 1, z: 1, k: 3}. What is prob of picking 2 g and 1 p? 1/55 Three letters picked without replacement from {i: 2, q: 1, h: 7, l: 4}. Give prob of picking 1 l, 1 h, and 1 q. 1/13 Three letters picked without replacement from {b: 1, z: 5, l: 2, m: 1}. Give prob of picking 1 b, 1 z, and 1 l. 5/42 Four letters picked without replacement from sssqqqb. Give prob of picking 1 b, 2 q, and 1 s. 9/35 What is prob of picking 1 w and 1 x when two letters picked without replacement from llwwxbbljlbxbbbwlb? 2/51 Four letters picked without replacement from vvvvvvvvvvvvvvvsvv. Give prob of picking 3 v and 1 s. 2/9 Calculate prob of picking 2 a and 2 v when four letters picked without replacement from aaaaallaallavvl. 4/195 Three letters picked without replacement from udduuu. Give prob of picking 2 d and 1 u. 1/5 Calculate prob of picking 2 p when two letters picked without replacement from {p: 10, m: 2, q: 2}. 45/91 Calculate prob of picking 1 d an
{ "pile_set_name": "DM Mathematics" }
(-2*sqrt(1053))**2 + sqrt(1053))) + sqrt(1053))*1 - sqrt(26)/(sqrt(72)*-2). -4212 + 217*sqrt(13)/12 Simplify (3*sqrt(30))/sqrt(6) + -2. -2 + 3*sqrt(5) Simplify 6*(2*sqrt(228))/sqrt(12)*2. 24*sqrt(19) Simplify (2*(sqrt(125) + 2) - -6*(sqrt(125) - (sqrt(125) + -1)))**2. 200*sqrt(5) + 600 Simplify (-1*sqrt(600))/sqrt(3). -10*sqrt(2) Simplify (-1 + sqrt(1300) - (3*sqrt(117))**2) + 1. -1053 + 10*sqrt(13) Simplify (1*sqrt(48)/sqrt(4))/(sqrt(864)*-1). -sqrt(2)/12 Simplify sqrt(1300)*1 - (3 + sqrt(13))*-5. 15 + 15*sqrt(13) Simplify 5*(-2 + -4 + sqrt(243) + sqrt(243) + sqrt(243) - sqrt(243)). -30 + 90*sqrt(3) Simplify (-1*sqrt(4400))/sqrt(4). -10*sqrt(11) Simplify (sqrt(91) + sqrt(91)*1*-2)/(sqrt(189)/sqrt(3) + sqrt(63)). -sqrt(13)/6 Simplify (sqrt(25) - sqrt(150)/sqrt(6)*-3)/(sqrt(25)/(3*sqrt(5) + sqrt(5))). 16*sqrt(5) Simplify (3 + sqrt(2057) + 0)**2. 66*sqrt(17) + 2066 Simplify ((-4*sqrt(143))/sqrt(11) + sqrt(13))*-5. 15*sqrt(13) Simplify (-1*sqrt(209)*4)/(sqrt(11) + -1*(sqrt(44) + sqrt(11))). 2*sqrt(19) Simplify (4 + (sqrt(3) - sqrt(27)) + -2)**2. -8*sqrt(3) + 16 Simplify (sqrt(3) - (sqrt(252)/sqrt(7))/sqrt(12) - -3*sqrt(18)/sqrt(6))**2. 27 Simplify sqrt(55)/(sqrt(720) + sqrt(720) + (sqrt(720) + -1*sqrt(720) - sqrt(720)))*5. 5*sqrt(11)/12 Simplify (sqrt(60)/sqrt(5) + sqrt(12))/sqrt(4) + (sqrt(75)*1 + sqrt(3))**2. 2*sqrt(3) + 108 Simplify (sqrt(56)/sqrt(8) + 5 + (sqrt(7) - sqrt(35)/sqrt(5)) + -5)**2. 7 Simplify ((sqrt(121) - sqrt(121)*-2)*-1)/(sqrt(176)*-4). 3*sqrt(11)/16 Simplify 5 + sqrt(33)/(sqrt(3) + sqrt(6)/sqrt(2)). sqrt(11)/2 + 5 Simplify -2 + ((-1*sqrt(4))/sqrt(2))**2*6. 10 Simplify (2*(((sqrt(110)*2 - sqrt(110)) + sqrt(110) - sqrt(110)) + sqrt(110)))/(sqrt(10) - (sqrt(10) - (sqrt(70)/sqrt(112) + sqrt(10)))). 16*sqrt(11)/5 Simplify -3 + (-1*sqrt(27) - sqrt(3)). -4*sqrt(3) - 3 Simplify sqrt(3) + (sqrt(6)/sqrt(2)*2)**2 + (sqrt(363) - sqrt(363)*-1)**2. sqrt(3) + 1464 Simplify (sqrt(396)*4)**2 - (-1*sqrt(891) + sqrt(11)). 8*sqrt(11) + 6336 Simplify ((sqrt(51)/sqrt(3) + -1)*6 + 0)**2. -72*sqrt(17) + 648 Simplify sqrt(5)*-2*-2 - (sqrt(5) + 2 + -5). 3 + 3*sqrt(5) Simplify sqrt(209)/(sqrt(99)*-2). -sqrt(19)/6 Simplify (-1*sqrt(112) + -3)**2 + (-5 + sqrt(112)*1)**2. -16*sqrt(7) + 258 Simplify (sqrt(150)/sqrt(45))/(sqrt(10) - (sqrt(100)/(sqrt(20)/sqrt(2)) - sqrt(10))). sqrt(3)/3 Simplify -3 + (sqrt(68)/sqrt(4))**2 - ((sqrt(34) + 2*sqrt(34))/sqrt(2) - sqrt(17)). -2*sqrt(17) + 14 Simplify (sqrt(209)/(sqrt(33)/sqrt(3)))**2 - ((5 + 0 + sqrt(19))**2 + sqrt(19)). -11*sqrt(19) - 25 Simplify sqrt(2299)*4 + 1 + 3. 4 + 44*sqrt(19) Simplify (5*sqrt(128)*-3)**2. 28800 Simplify (sqrt(5) - sqrt(320)) + -2 - (2 + ((sqrt(180))**2 - sqrt(5))). -184 - 6*sqrt(5) Simplify (1 + sqrt(2450) + sqrt(2450) + sqrt(2450))*-5 + -3. -525*sqrt(2) - 8 Simplify 3 + sqrt(228)/(1*sqrt(108) + sqrt(108)). sqrt(19)/6 + 3 Simplify (sqrt(17) - (-6*(sqrt(17) - sqrt(17)*2) - sqrt(17))) + (sqrt(17) - (0 + sqrt(17)))**2*-3. -4*sqrt(17) Simplify sqrt(252) + 1 - sqrt(63)*-1. 1 + 9*sqrt(7) Simplify ((sqrt(19) + -3*sqrt(19))*1 - (sqrt(19) + -2 + 2))*4. -12*sqrt(19) Simplify (sqrt(130) + 4*sqrt(130)*-2)/(-4*sqrt(360)). 7*sqrt(13)/24 Simplify 5 + ((sqrt(175) + -2 - sqrt(7))**2 + sqrt(7) - (1*sqrt(63))**2). -15*sqrt(7) + 58 Simplify 3*((sqrt(847) - (-2 + sqrt(847))) + sqrt(847))**2*-2. -5106 - 264*sqrt(7) Simplify sqrt(14)/(sqrt(2) - (sqrt(200) + -1*sqrt(200) - sqrt(200))) + ((sqrt(1008) + -1)*2)**2. -1055*sqrt(7)/11 + 4036 Simplify -2 + sqrt(91)/(sqrt(21)/sqrt(3)*-2). -2 - sqrt(13)/2 Simplify ((sqrt(1100) + -3)*5)**2. -1500*sqrt(11) + 27725 Simplify sqrt(108) - (-5 + (sqrt(108) - (sqrt(108) + 2)))**2. -49 + 6*sqrt(3) Simplify (-1*sqrt(56))/sqrt(2)*-5. 10*sqrt(7) Simplify (sqrt(8) + 3*sqrt(8))/sqrt(4) + (-2*sqrt(98))**2. 4*sqrt(2) + 392 Simplify 2*-3*(sqrt(57)/sqrt(3) + 2)**2. -138 - 24*sqrt(19) Simplify sqrt(360)/sqrt(72). sqrt(5) Simplify (-4*(sqrt(147) + 1 + sqrt(147) + sqrt(147))*3)**2. 6048*sqrt(3) + 190656 Simplify -2 + (sqrt(68) - (sqrt(68) + sqrt(68)*2))**2. 270 Simplify (4 + sqrt(2)*-4)*1. -4*sqrt(2) + 4 Simplify (4*sqrt(77)*-1)/(2*sqrt(1584) - sqrt(1584)). -sqrt(7)/3 Simplify ((-6*sqrt(77)*2)/((sqrt(77) + sqrt(77)*2)/sqrt(11)))**2. 176 Simplify ((-3 + (sqrt(720)*-2 - sqrt(720) - sqrt(720)) - sqrt(720)) + sqrt(720))**2 - sqrt(720) - (-3*-2*sqrt(720))**2. -14391 + 276*sqrt(5) Simplify 2*-4*(2*sqrt(63))**2 + 0. -2016 Simplify -2 + 0 + -2*sqrt(5) + (sqrt(720))**2 + sqrt(45). sqrt(5) + 718 Simplify 3 + sqrt(44)/(sqrt(36) + sqrt(4)) + ((sqrt(132) + sqrt(132)*1)/sqrt(12) + sqrt(11))**2. sqrt(11)/4 + 102 Simplify 1*(sqrt(108) + -1)*-4 + -3. -24*sqrt(3) + 1 Simplify (-5*(-1 + sqrt(637)) + (4*(1 + sqrt(637)) - sqrt(637)))**2 + 5. -252*sqrt(13) + 2634 Simplify ((-1 + sqrt(637))*1)**2. -14*sqrt(13) + 638 Simplify -5*sqrt(12)/sqrt(4) - sqrt(243)*1. -14*sqrt(3) Simplify 1*(3*sqrt(8)/sqrt(4))**2 + -6*(sqrt(2) - 1*sqrt(32)). 18 + 18*sqrt(2) Simplify -1 + (-1*sqrt(320))**2. 319 Simplify (sqrt(400)*1)/sqrt(8) + 2. 2 + 5*sqrt(2) Simplify sqrt(5) + 2 + -4 - (-1 + sqrt(5))*-4. -6 + 5*sqrt(5) Simplify (3 + (sqrt(272) - (0 + sqrt(272) - sqrt(272))) - sqrt(272))**2 - 6*(sqrt(272)*-2)**2. -6519 Simplify (sqrt(5) - sqrt(15)/(sqrt(3) + sqrt(48)))**2 - (2 + sqrt(5) + -1). -sqrt(5) + 11/5 Simplify (-5*(sqrt(3) + 2*sqrt(3) + 1))**2. 150*sqrt(3) + 700 Simplify sqrt(114)/(sqrt(6) - sqrt(48)/(sqrt(8) + sqrt(72))) + 5. 5 + 4*sqrt(19)/3 Simplify ((-3 + sqrt(3) + -4)*-5)**2. -350*sqrt(3) + 1300 Simplify (2*sqrt(2))**2*5 + (0 + sqrt(2))**2 + -5. 37 Simplify sqrt(18)/(sqrt(9) + (sqrt(45) + sqrt(180))/sqrt(5) - sqrt(9)). sqrt(2)/3 Simplify 2 + (sqrt(612) - (sqrt(612) + -1)) - sqrt(612). -6*sqrt(17) + 3 Simplify sqrt(33)/sqrt(3) + -5 + sqrt(11) + (0 + sqrt(11) - sqrt(11)) + -1. -6 + 2*sqrt(11) Simplify 2 + sqrt(171) + sqrt(228)/sqrt(48) + sqrt(19). 2 + 9*sqrt(19)/2 Simplify -2*(0 + sqrt(192))*-3*-4. -192*sqrt(3) Simplify (-5*1*sqrt(432)*5)**2. 270000 Simplify ((sqrt(76) + -2 - sqrt(76))*1 + sqrt(76))**2. -8*sqrt(19) + 80 Simplify (sqrt(36) + sqrt(36)*2)/sqrt(12) - (sqrt(3) + ((sqrt(60)/sqrt(2) - sqrt(30))/sqrt(10))**2) - (-2 + -1 + sqrt(3)*1). sqrt(3) + 3 Simplify -4 + (4*sqrt(5) - sqrt(5))*-5. -15*sqrt(5) - 4 Simplify 4*sqrt(119)/sqrt(7) + 3. 3 + 4*sqrt(17) Simplify sqrt(931) - (sqrt(931) + (-1 + sqrt(931))*4)**2. -23291 + 287*sqrt(19) Simplify ((sqrt(104)*1 + sqrt(104))*6 - sqrt(104))/(sqrt(8)*1*-1 - sqrt(8)). -11*sqrt(13)/2 Simplify 4 + 4 + (2*-2*sqrt(2057))**2. 32920 Simplify (-4*(4 + sqrt(3) + sqrt(6)/sqrt(2)))**2. 256*sqrt(3) + 448 Simplify -1 + 2 + (-1 + sqrt(11) - sqrt(11)). 0 Simplify (sqrt(52)/(2*sqrt(4)) - sqrt(13))*3. -3*sqrt(13)/2 Simplify (sqrt(228) - (sqrt(228) - ((sqrt(228)*1 - sqrt(228))*5 - sqrt(228))))/(sqrt(96)/(sqrt(128) - sqrt(8))) + 4. -3*sqrt(19) + 4 Simplify (-1*sqrt(20))**2 + (sqrt(500) + 0 - sqrt(500)). 20 Simplify (sqrt(128)/sqrt(4) - sqrt(32) - sqrt(32))**2 - ((sqrt(242)*1)**2 + sqrt(242)). -210 - 11*sqrt(2) Simplify 3*sqrt(91)/(sqrt(1008) + sqrt(1008)*1 + sqrt(1008)). sqrt(13)/12 Simplify sqrt(684) + (sqrt(684) - (-1 + sqrt(684))) + -3 + sqrt(684). -2 + 12*sqrt(19) Simplify (sqrt(7) - (sqrt(7) + 3)**2) + 5 - (4*sqrt(7)*4)**2. -1803 - 5*sqrt(7) Simplify (-4*(sqrt(11) + sqrt(44)))**2 - (0 + sqrt(11) + -5 + sqrt(11)). -2*sqrt(11) + 1589 Simplify -2*(sqrt(2736) - (sqrt(2736) + 0 - sqrt(2736)))**2. -5472 Simplify sqrt(95)/(-6*-2*sqrt(5))*-3. -sqrt(19)/4 Simplify (4*(sqrt(405)*1 - sqrt(405)) - sqrt(405))**2. 405 Simplify sqrt(2057) - (-2 + (-1*sqrt(2057))**2) - sqrt(2057). -2055 Simplify 5 + sqrt(28) - (sqrt(77)*-2)/sqrt(11). 5 + 4*sqrt(7) Simplify ((-2*sqrt(475) - sqrt(475)) + -1)**2*-1. -4276 - 30*sqrt(19) Simplify 3 + (sqrt(49)/(sqrt(7)*2 + sqrt(7) - sqrt(7)) - -1*2*sqrt(7)). 3 + 5*sqrt(7)/2 Simplify (sqrt(13) + -1)*2 + sqrt(91)/(sqrt(7)*2). -2 + 5*sqrt(13)/2 Simplify -4*sqrt(363)*-4. 176*sqrt(3) Simplify (((sqrt(275) + -1)**2 - sqrt(275)) + sqrt(275) + sqrt(44)/(sqrt(8)/sqrt(2)))*-1. -276 + 9*sqrt(11) Simplify (sqrt(60) + (sqrt(540) - (sqrt(540) + 1*sqrt(540)))/sqrt(9) + sqrt(60) - sqrt(60))/(-3*sqrt(192)). 0 Simplify sqrt(4)/sqrt(2)*1 + (sqrt(2) + 0 + sqrt(98))**2. sqrt(2) + 128 Simplify ((sqrt(6) + (sqrt(6) - sqrt(12)/sqrt(2)))*3 - sqrt(6) - sqrt(6) - sqrt(6))/(-5*sqrt(9)/sqrt(3)). 0 Simplify -5
{ "pile_set_name": "DM Mathematics" }
3, u: 1, p: 16}. Give prob of picking 1 f and 1 p. 24/95 Two letters picked without replacement from {c: 7, y: 3, u: 2}. Give prob of picking 2 c. 7/22 Three letters picked without replacement from wwrvrvvrwrrww. What is prob of picking 2 r and 1 v? 15/143 What is prob of picking 3 b when three letters picked without replacement from xixtgttbbbgttxgtgg? 1/816 Three letters picked without replacement from vvcccvcvvcvc. What is prob of picking 3 c? 1/11 Calculate prob of picking 4 k when four letters picked without replacement from kkkkk. 1 Two letters picked without replacement from mmmmmmmmm. What is prob of picking 2 m? 1 Four letters picked without replacement from {j: 2, v: 2, q: 1}. What is prob of picking 2 j and 2 v? 1/5 Calculate prob of picking 4 m when four letters picked without replacement from {x: 3, m: 5}. 1/14 Two letters picked without replacement from {i: 1, j: 2, n: 1, v: 4, f: 2}. Give prob of picking 1 n and 1 f. 2/45 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {k: 2, v: 2, f: 10}. 20/91 Two letters picked without replacement from qqbqbbbbbqpbbqqbbb. What is prob of picking 1 q and 1 b? 22/51 Four letters picked without replacement from sfbsobbobfxbfbbof. What is prob of picking 4 f? 1/2380 Two letters picked without replacement from {e: 2, d: 5, m: 1, y: 4, v: 2}. What is prob of picking 2 d? 10/91 What is prob of picking 2 s, 1 b, and 1 a when four letters picked without replacement from {l: 1, a: 3, c: 4, m: 1, s: 5, b: 4}? 2/51 What is prob of picking 1 b, 1 d, and 1 o when three letters picked without replacement from zgotgzgggbgodg? 1/182 Two letters picked without replacement from {c: 9, s: 9}. Give prob of picking 2 s. 4/17 What is prob of picking 1 a and 2 e when three letters picked without replacement from eeaewaiwieiwiiiiii? 1/68 Calculate prob of picking 1 v, 1 n, and 1 e when three letters picked without replacement from {n: 4, v: 4, e: 11}. 176/969 Three letters picked without replacement from {a: 3, q: 2}. Give prob of picking 2 q and 1 a. 3/10 Four letters picked without replacement from udedidhudreuduu. Give prob of picking 2 e, 1 r, and 1 i. 1/1365 Three letters picked without replacement from {r: 2, o: 1, v: 1, k: 4, b: 5, f: 2}. What is prob of picking 3 k? 4/455 Three letters picked without replacement from {b: 4, g: 3, i: 4, l: 3}. Give prob of picking 1 i and 2 l. 3/91 Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {k: 10, w: 4}. 45/91 Calculate prob of picking 1 r, 1 x, 1 l, and 1 p when four letters picked without replacement from rlxziipxpzrzpz. 12/1001 What is prob of picking 3 n when three letters picked without replacement from nsaannnna? 5/42 Calculate prob of picking 2 x when two letters picked without replacement from {x: 1, r: 1, c: 1, y: 2, t: 2}. 0 Two letters picked without replacement from vsssvvsssvs. What is prob of picking 2 v? 6/55 Two letters picked without replacement from kkeek. Give prob of picking 2 k. 3/10 Two letters picked without replacement from {z: 1, b: 7}. What is prob of picking 1 b and 1 z? 1/4 What is prob of picking 1 v, 1 b, and 2 z when four letters picked without replacement from {b: 1, z: 2, v: 2, s: 1, i: 1}? 2/35 Calculate prob of picking 3 k when three letters picked without replacement from hhkhhhhhkhhkkhhhkhh. 10/969 Calculate prob of picking 1 b, 1 w, and 1 q when three letters picked without replacement from {c: 3, b: 4, y: 3, s: 2, q: 2, w: 1}. 8/455 Calculate prob of picking 2 f, 1 g, and 1 r when four letters picked without replacement from grppfsfxpsxgfp. 6/1001 Four letters picked without replacement from {t: 7, f: 3}. What is prob of picking 2 t and 2 f? 3/10 Two letters picked without replacement from ppyuguuquaypu. What is prob of picking 1 y and 1 p? 1/13 Two letters picked without replacement from jyqkhjqyhkjkjjqwjj. What is prob of picking 1 k and 1 y? 2/51 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww. 1 Four letters picked without replacement from jmksjjkkmsjkjjjjjskj. Give prob of picking 2 j and 2 s. 9/323 Three letters picked without replacement from {g: 1, z: 3, s: 11, r: 2, a: 1}. What is prob of picking 1 z, 1 g, and 1 a? 1/272 Three letters picked without replacement from {o: 1, t: 1, u: 3, q: 2, z: 3}. What is prob of picking 1 t, 1 u, and 1 z? 3/40 Two letters picked without replacement from {p: 2, u: 1, o: 4}. Give prob of picking 2 p. 1/21 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {t: 1, g: 2, b: 1, y: 2, u: 1}. 2/21 Three letters picked without replacement from aaeeeaaaaaaee. Give prob of picking 3 e. 5/143 Four letters picked without replacement from nnvzkvvzvznhkz. Give prob of picking 1 n, 2 v, and 1 z. 72/1001 What is prob of picking 2 h and 1 a when three letters picked without replacement from xxooahxooaooxoaxaho? 4/969 Calculate prob of picking 3 l when three letters picked without replacement from {k: 1, w: 2, b: 8, g: 3, l: 3, t: 1}. 1/816 Calculate prob of picking 1 u and 1 s when two letters picked without replacement from hluhesa. 1/21 What is prob of picking 1 m, 1 k, and 1 d when three letters picked without replacement from {z: 1, b: 3, t: 2, m: 5, k: 6, d: 3}? 3/38 Three letters picked without replacement from uzzuuzzszwzszzuszu. Give prob of picking 2 s and 1 z. 9/272 What is prob of picking 2 o and 1 f when three letters picked without replacement from {r: 1, f: 2, o: 6, m: 3, e: 1}? 15/143 Calculate prob of picking 2 a and 1 q when three letters picked without replacement from vaqqaqq. 4/35 Three letters picked without replacement from {p: 6, f: 6}. What is prob of picking 2 p and 1 f? 9/22 Two letters picked without replacement from eijtdti. Give prob of picking 2 t. 1/21 Calculate prob of picking 1 u and 1 s when two letters picked without replacement from rssusssrsuassra. 16/105 What is prob of picking 1 y and 2 p when three letters picked without replacement from ypyypp? 9/20 Two letters picked without replacement from oboolgblolomaoalo. Give prob of picking 2 a. 1/136 Four letters picked without replacement from aaxoaouuzxouozoou. Give prob of picking 2 a, 1 x, and 1 z. 3/595 Four letters picked without replacement from wwvwhvhwvhws. Give prob of picking 3 w and 1 h. 2/33 Two letters picked without replacement from qmqqxqmmmqx. What is prob of picking 1 m and 1 x? 8/55 What is prob of picking 1 c and 2 f when three letters picked without replacement from {f: 14, c: 4}? 91/204 Two letters picked without replacement from jbbjpp. Give prob of picking 2 p. 1/15 Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {k: 2, f: 3, c: 4, a: 1}. 1/10 Four letters picked without replacement from {g: 4, q: 4, k: 4, o: 3}. Give prob of picking 1 o, 1 k, 1 g, and 1 q. 64/455 Two letters picked without replacement from zqxq. Give prob of picking 1 x and 1 q. 1/3 What is prob of picking 1 h and 1 s when two letters picked without replacement from shmm? 1/6 What is prob of picking 2 i and 2 a when four letters picked without replacement from {a: 12, w: 3, i: 2}? 33/1190 Three letters picked without replacement from {l: 15, w: 4}. Give prob of picking 3 l. 455/969 What is prob of picking 1 z and 2 o when three letters picked without replacement from ohlzoholz? 1/14 Calculate prob of picking 4 u when four letters picked without replacement from {u: 6, b: 7}. 3/143 Two letters picked without replacement from {f: 2, m: 1, z: 1, r: 1, c: 5}. Give prob of picking 1 r and 1 f. 2/45 Calculate prob of picking 1 v and 3 q when four letters picked without replacement from vqqvquv. 3/35 Calculate prob of picking 1 h, 1 l, and 1 m when three letters picked without replacement from hmohmhhohohoml. 9/182 What is prob of picking 1 b and 3 c when four letters picked without replacement from xxxcxxxcxxxcxcxcxcb? 5/969 Two letters picked without replacement from nzlzjnlzjlzjzjnl. What is prob of picking 1 l and 1 j? 2/15 What is prob of picking 1 y and 1 g when two letters picked without replacement from rgzrkvryyggr? 1/11 Calculate prob of picking 1 s and 1 q when two letters picked without replacement from nnnnnqnsn. 1/36 Calcul
{ "pile_set_name": "DM Mathematics" }
**3 + 6236*t**2 - 8356*t - 13888 = 0. Calculate t. -16, -14, -1, 2, 31 What is u in u**4/8 + 1917*u**3/8 + 19069*u**2/8 - 1917*u/8 - 9535/4 = 0? -1907, -10, -1, 1 Factor 5*x**5 - 70*x**4 + 220*x**3 - 200*x**2. 5*x**2*(x - 10)*(x - 2)**2 Factor -3*s**4 + 3093*s**3 + 46845*s**2 + 234975*s + 392250. -3*(s - 1046)*(s + 5)**3 Suppose 2*o**4/11 - 400*o**3/11 + 1576*o**2/11 - 1568*o/11 = 0. Calculate o. 0, 2, 196 Find t such that -3*t**5 - 6*t**4 + 81*t**3 + 24*t**2 - 204*t - 144 = 0. -6, -1, 2, 4 Let 16*o**5 - 450*o**4 + 2712*o**3 + 6388*o**2 + 2760*o - 450 = 0. What is o? -1, 1/8, 15 Determine r, given that -2*r**5/3 - 344*r**4/3 - 3330*r**3 = 0. -135, -37, 0 Solve -3*v**3 + 138*v**2 + 2301*v = 0 for v. -13, 0, 59 Determine n so that -2*n**2 + 1612*n - 324818 = 0. 403 Solve j**5/5 - 1109*j**4/5 + 6623*j**3/5 - 1103*j**2 = 0. 0, 1, 5, 1103 Find w, given that 170*w**3 + 12185*w**2 - 3975*w - 1080 = 0. -72, -3/17, 1/2 Find s, given that -2*s**4/7 - 13092*s**3/7 - 52338*s**2/7 - 13072*s/7 + 78504/7 = 0. -6542, -3, -2, 1 Factor -4*y**4 + 508*y**3 + 536*y**2 - 3072*y. -4*y*(y - 128)*(y - 2)*(y + 3) Determine a, given that a**5 - 2*a**4 - 58*a**3 + 128*a**2 + 561*a - 630 = 0. -7, -3, 1, 5, 6 Determine b, given that b**5 + 3695*b**4 + 66147*b**3 - 143383*b**2 + 73540*b = 0. -3677, -20, 0, 1 Determine i so that -2*i**5 + 8652*i**4 - 9365784*i**3 + 18696976*i**2 = 0. 0, 2, 2162 Factor 2*j**3 - 6114*j**2 + 4663440*j + 14045400. 2*(j - 1530)**2*(j + 3) Factor 2*q**2/11 - 8608*q + 101884288. 2*(q - 23672)**2/11 What is l in 2*l**4/9 + 82*l**3/9 + 808*l**2/9 - 328*l/9 - 1088/3 = 0? -24, -17, -2, 2 Factor 2*p**4/7 + 212*p**3/7 + 1962*p**2/7 + 576*p. 2*p*(p + 3)*(p + 7)*(p + 96)/7 Solve p**5/4 - 5*p**4/2 - 117*p**3/2 + 7*p**2 + 713*p/4 + 231/2 = 0. -11, -1, 2, 21 Factor 3*s**4/7 - 612*s**3/7 + 40674*s**2/7 - 965124*s/7 + 7460787/7. 3*(s - 83)**2*(s - 19)**2/7 Determine a so that -2*a**4/15 - 3128*a**3/15 - 18718*a**2/15 - 34288*a/15 - 6232/5 = 0. -1558, -3, -2, -1 Determine q so that -2*q**3/5 + 900*q**2 - 8992*q/5 = 0. 0, 2, 2248 Factor -o**2/2 - 8069*o - 65108761/2. -(o + 8069)**2/2 Factor o**5 + 71*o**4 + 42*o**3 - 12420*o**2 - 98712*o - 220320. (o - 15)*(o + 6)**3*(o + 68) Factor 2*y**2/7 - 134*y/7 - 6600/7. 2*(y - 100)*(y + 33)/7 Solve -5*w**3 - 45045*w**2 - 270135*w - 405135 = 0. -9003, -3 Factor -h**4/2 + 85*h**3/2 - 258*h**2 - 1170*h. -h*(h - 78)*(h - 10)*(h + 3)/2 Factor 3*s**2 - 80202*s + 536030067. 3*(s - 13367)**2 Suppose -2*f**2/3 + 1228484*f/3 - 188646617282/3 = 0. Calculate f. 307121 Solve -22*t**4 - 54*t**3 + 126*t**2 + 326*t + 168 = 0 for t. -3, -1, 28/11 Solve -2*k**2/3 + 676*k/3 + 1360/3 = 0. -2, 340 What is z in -15*z**4 - 102*z**3 + 8772*z**2 + 102*z - 8757 = 0? -139/5, -1, 1, 21 Factor 4*a**3 + 1100*a**2 + 9576*a. 4*a*(a + 9)*(a + 266) Suppose -5*y**2/4 + 48715*y/2 - 474630245/4 = 0. What is y? 9743 Factor -4*b**2 - 1064*b + 61740. -4*(b - 49)*(b + 315) Let 361*o**4/9 - 405365*o**3/9 + 1170287*o**2/9 + 126557*o/9 + 1120/3 = 0. Calculate o. -1/19, 3, 1120 Factor -4*t**2 - 27076*t. -4*t*(t + 6769) Factor 2*s**2 - 50188*s - 50190. 2*(s - 25095)*(s + 1) What is c in c**2 - 19*c - 6230 = 0? -70, 89 What is m in 7219969*m**4/2 - 7166229*m**3/2 - 26820*m**2 - 50*m = 0? -10/2687, 0, 1 Solve 3*v**2/2 + 1215*v/2 + 54264 = 0. -272, -133 Find a such that -5*a**5/9 + 8543*a**4/9 - 13652*a**3/9 - 2276*a**2/3 = 0. -2/5, 0, 2, 1707 Determine o so that -2*o**3/11 + 332*o**2/11 - 14104*o/11 + 26896/11 = 0. 2, 82 Find u, given that 203*u**2/3 - 18065*u/3 - 178/3 = 0. -2/203, 89 Factor -2*b**2/3 + 70652*b/3 - 70646. -2*(b - 35323)*(b - 3)/3 What is o in 3*o**3/4 + 201165*o**2/4 + 3372380349*o/4 + 3372179187/4 = 0? -33527, -1 Determine p so that -4*p**2/7 + 49160*p/7 - 151044100/7 = 0. 6145 Factor j**2/2 + 1685*j/2 + 842. (j + 1)*(j + 1684)/2 Let 22*b**3/13 - 2518*b**2/13 + 13080*b/13 = 0. What is b? 0, 60/11, 109 Let -3*r**4 - 117*r**3 - 219*r**2 + 117*r + 222 = 0. Calculate r. -37, -2, -1, 1 What is k in 4*k**3 + 328*k**2 + 4324*k - 106032 = 0? -47, 12 Determine t so that -2*t**2/7 + 39008*t - 1331421056 = 0. 68264 Suppose -2*v**3/9 + 272*v**2/9 + 1510*v/3 = 0. What is v? -15, 0, 151 Suppose -2*c**5 - 54*c**4 - 60*c**3 + 952*c**2 - 1200*c = 0. Calculate c. -25, -6, 0, 2 Suppose 9*q**2 - 816*q + 3120 = 0. Calculate q. 4, 260/3 Factor 7*i**3 - 1117*i**2/2 - 3749*i/2 + 581. (i - 83)*(2*i + 7)*(7*i - 2)/2 Factor p**2/3 + 6859*p/3 - 6860/3. (p - 1)*(p + 6860)/3 Solve -12*k**5 - 28*k**4 + 89*k**3 + 34*k**2 - 8*k = 0. -4, -1/2, 0, 1/6, 2 Determine r so that -192*r**5 + 88848*r**4 + 924237*r**3 + 3126453*r**2 + 3836547*r + 1545291 = 0. -33/8, -1, 473 Factor -2*m**2/3 + 38132*m/3 - 181756178/3. -2*(m - 9533)**2/3 Determine w, given that -2*w**2/13 - 38912*w/13 + 77832/13 = 0. -19458, 2 Find n, given that n**4 - 21*n**3 + 3*n**2 + 325*n + 300 = 0. -3, -1, 5, 20 Let 2*t**2/13 - 6028*t/13 - 552334/13 = 0. Calculate t. -89, 3103 Factor x**2 + 1892*x - 3788. (x - 2)*(x + 1894) Factor -5*w**4 - 155*w**3 + 2950*w**2 - 9000*w. -5*w*(w - 10)*(w - 4)*(w + 45) Determine i so that -5*i**4 + 4655*i**3 + 18715*i**2 - 13935*i - 84150 = 0. -3, 2, 935 Solve -10*r**3 + 45*r**2 - 45*r = 0. 0, 3/2, 3 Suppose -z**2 - 247*z - 6322 = 0. What is z? -218, -29 What is j in j**2 + 47306*j - 47307 = 0? -47307, 1 What is c in 147*c**5/2 - 2352*c**4 - 26619*c**3/2 - 10686*c**2 + 1086*c + 888 = 0? -4, -1, -2/7, 2/7, 37 Determine w so that -w**5/5 + 22483*w**4/5 + 675137*w**3/5 + 5695369*w**2/5 + 9455264*w/5 + 4412548/5 = 0. -14, -1, 22513 Factor b**2/4 + 76*b - 2817/4. (b - 9)*(b + 313)/4 Determine t, given that -5*t**3 - 370*t**2 + 2875*t + 3240 = 0. -81, -1, 8 Let -u**3/9 + 27*u**2 - 6992*u/9 + 4340/3 = 0. Calculate u. 2, 31, 210 Factor 4*b**3 - 107592*b**2 + 721669872*b + 24661309216. 4*(b - 13466)**2*(b + 34) Let 7*i**5 + 1186*i**4/5 + 588*i**3 - 34088*i**2/5 + 3488*i/5 + 768 = 0. Calculate i. -30, -8, -2/7, 2/5, 4 Factor 2*w**3/3 + 389*w**2/3 + 15853*w/3 - 8024/3. (w + 59)*(w + 136)*(2*w - 1)/3 Find q such that -4*q**3 - 164*q**2 + 9104*q - 17520 = 0. -73, 2, 30 Determine w so that 4*w**5 - 60*w**4 - 244*w**3 + 5932*w**2 - 15312*w + 9680 = 0. -10, 1, 2, 11 Let 4*n**5/7 - 31884*n**4/7 - 54716*n**3 - 1372836*n**2/7 - 1915808*n/7 - 127728 = 0. What is n? -7, -2, -1, 7983 Factor -q**3/3 - 401*q**2/3 + 2080*q. -q*(q - 15)*(q + 416)/3 Factor -i**2/3 + 59*i + 3724/3. -(i - 196)*(i + 19)/3 Factor -2*k**3 - 1252*k**2 + 8862*k. -2*k*(k - 7)*(k + 633) Let 2*s**5 - 454*s**4 + 8956*s**3 - 63464*s**2 + 173616*s - 118656 = 0. What is s? 1, 6, 8, 206 Let -4*k**3 + 908*k**2 - 27872*k - 2944784 = 0. Calculate k. -41, 134 Determine p, given that 5*p**5 + 685*p**4 + 14495*p**3 + 55315*p**2 - 14500*p - 56000 = 0. -112, -20, -5, -1, 1 Solve 5*r**3/6 - 56205*r**2 = 0. 0, 67446 Find i such that 3*i**2 + 1902696*i - 1902699 = 0. -634233, 1 Find s, given that 5*s**5 - 610*s**4 + 19710*s**3 - 272160*s**2 + 1724085*s - 4133430 = 0. 9, 14, 81 Factor -5*o**2 - 225*o + 16380. -5*(o - 39)*(o + 84) Factor -5*x**3/7 + 2732*x**2/7 - 42752*x/7 + 169728/7. -(x - 8)**2*(5*x - 2652)/7 What is p in 2*p**4 + 324494*p**3 + 13161233240*p**2 - 65812980744*p + 52651423008 = 0? -81126, 1, 4 Find t such that t**2 - 224*t - 19856 = 0. -68, 292 Suppose 6*d**2/7 + 16650*d/7 - 145800 = 0. What is d? -2835, 60 Factor -4*f**2/5 - 444*f + 123624/5. -4*(f - 51)*(f + 606)/5 Factor -p**3 + 1595*p**2 - 12712*p + 25392. -(p - 1587)*(p - 4)**2 Factor -2*r**2/3 + 4130*r/3 + 49000. -2*(r - 2100)*(r + 35)/3 Find g such that -3*g**4 + 972*g**3 + 7905*g**2 + 20862*g + 17928 = 0. -3, -2, 332 Let i**2/2 + 53633*i/2 - 26817 = 0. What is i? -53634, 1 Determine q, given that -40*q**3 + 315*q**2 + 955*q - 1050 = 0. -3, 7/8, 10 Suppose 158*i**2/3 + 30179*i + 573 = 0. Calculate i. -573, -3/158 Determine a so that 4*a**4 - 2252*a**3 + 15592*a**2 - 13344*a = 0. 0, 1, 6, 556 Find j such that -49*j**5/6 - 21*j**4/2 + 332*j**3/3 + 76*j**2/3 - 440*j + 968/3 = 0. -22/7, 1, 2 Factor 3*a**2 + 773046*a + 49800009843. 3*(a + 128841)**2 What is u in -2*u**3/3 - 245176*u**2/3 + 2*u/3 + 245176/3 = 0? -122588, -1, 1 Let 2*q**4/11 + 102*q**3/11 + 182*q**2/11 - 678*q/11 + 392/11 = 0. What is q? -49, -4, 1 Factor 3*s**4 + 345*s**3 - 3267*s**2 + 9963*s - 10044. 3*(s - 3)**3*(s + 1
{ "pile_set_name": "DM Mathematics" }
= 2661000*b. Let i(c) = 3*c. Calculate x(i(j)). 7983000*j Let i(a) = 586*a + 40261. Let c(t) = t. Determine c(i(d)). 586*d + 40261 Let l(z) = 4*z**2. Let o(f) = 21117*f - 11313*f - 10466*f. Determine l(o(k)). 1752976*k**2 Let h(g) = -287*g. Let r(n) = 2223*n. Give r(h(w)). -638001*w Let v(z) = 502972231 - 502972231 - 3*z. Let n(r) = -2033*r. What is v(n(y))? 6099*y Let n(o) = o**2. Let t(l) = 9*l. Let j = 223 + -225. Let y(i) = -28 + 19*i + 28. Let r(p) = j*y(p) + 5*t(p). Determine r(n(a)). 7*a**2 Let x(g) = 21*g**2. Let v(b) = 5753068*b. Give x(v(w)). 695053619665104*w**2 Let v(l) be the third derivative of -13*l**5/30 + 10986*l**2. Let z(q) = -57*q**2. Determine z(v(j)). -38532*j**4 Let s(z) = -71698*z. Let v(l) = 155*l**2. Calculate s(v(i)). -11113190*i**2 Let p(v) = -41*v. Let f(d) = -12569*d**2. Determine p(f(x)). 515329*x**2 Let i(d) = d**2. Let w = 295 - 294. Let y(u) = -50*u - 2. Let h(p) = 1. Let x(f) = w*y(f) + 2*h(f). Give i(x(v)). 2500*v**2 Let k(w) = -442*w**2 + 28. Let s(h) = -1326*h**2 + 77. Let v(y) = -11*k(y) + 4*s(y). Let u(g) = -g. Calculate u(v(m)). 442*m**2 Let r(o) = 9208720*o. Let a(b) = -b**2. Calculate a(r(k)). -84800524038400*k**2 Let u(d) = 38418*d. Let w(l) = 15288*l. Give w(u(z)). 587334384*z Let b(k) = -119*k. Let m(n) = -57*n**2 - 63*n + 42. Let f(r) = -2*r**2 - 3*r + 2. Let i(o) = -42*f(o) + 2*m(o). Determine b(i(s)). 3570*s**2 Let x(t) = 6*t**2. Let z(s) = -1885*s - 16. Let o(d) = -423493*d - 3594. Let h(w) = 8*o(w) - 1797*z(w). Determine h(x(c)). -3594*c**2 Let v(w) = 3*w. Let o = -3146 + 12585/4. Let h(u) be the second derivative of 0 + o*u**4 + 0*u**2 + 10*u + 0*u**3. Give v(h(t)). 9*t**2 Let s(r) = -757*r - 355. Let q(n) = -13*n**2. Determine s(q(v)). 9841*v**2 - 355 Let s(o) = -20*o. Let v(d) = 20*d + 110. Let c(x) = 0 - 6*x - 6 + 0 + 5*x + 0. Let i(y) = -110*c(y) - 6*v(y). What is i(s(u))? 200*u Let q(u) = -3492291*u. Let y(f) = 7*f. What is q(y(x))? -24446037*x Let i(x) = -33*x + 3. Let a(c) = 67*c - 5. Let w(j) = 3*a(j) + 5*i(j). Let b(o) = -178 + 7*o**2 + 30 - 4*o**2 + 148. Determine w(b(u)). 108*u**2 Let d(l) = -504*l - 9 + 8 - 14 + 15. Let g(m) = -2*m. Determine d(g(k)). 1008*k Let g(h) = 3*h**2 - 21 - 64 - 21 + 108. Let n(v) = 17*v. What is n(g(o))? 51*o**2 + 34 Let j = 4631 + -55571/12. Let d(k) be the second derivative of -j*k**4 + 0 - 6*k + 0*k**3 + 0*k**2. Let t(y) = -2*y. Calculate d(t(n)). -4*n**2 Let r(p) be the second derivative of -3*p**4/2 - 953*p. Let h(d) = 6*d**2 + 11. What is h(r(i))? 1944*i**4 + 11 Let p(h) = 44*h**2. Let v(b) be the second derivative of 0*b**2 - 38 + 2/3*b**3 - 2*b. What is p(v(u))? 704*u**2 Let p(a) = 10*a**2. Let c(f) be the first derivative of 2*f**3 + 213. What is c(p(o))? 600*o**4 Let y = 161 + -126. Let k(u) = -5*u**2 + 35*u. Let q(i) = i**2 - 6*i. Let h(b) = y*q(b) + 6*k(b). Let g(t) = 76*t - 7*t**2 - 76*t - t**2. Determine g(h(w)). -200*w**4 Let y(d) = 55*d. Let o(a) be the second derivative of 134*a + 2/3*a**3 - 2 + 0*a**2. Calculate o(y(x)). 220*x Let j(c) = -126*c - 142*c - 11*c**2 - 1063*c**2 + 268*c. Let b(z) = -4*z. Calculate b(j(q)). 4296*q**2 Let p(u) = 214*u**2 - 256*u. Let s(n) = 90*n. Calculate s(p(k)). 19260*k**2 - 23040*k Let h(v) = 273566582*v. Let r(l) = l**2. What is r(h(z))? 74838674787162724*z**2 Let a(c) = 4182*c**2 + 369*c - 123. Let i(p) = 239*p**2 + 21*p - 7. Let j(r) = 7*a(r) - 123*i(r). Let w(x) = -8*x. What is j(w(t))? -7872*t**2 Let s(z) = 34*z - 10. Let n(j) = -5887*j**2 + 4. Calculate s(n(r)). -200158*r**2 + 126 Let d(j) be the third derivative of j**5/60 + 6*j**3 - 631*j**2. Let a(q) = -11*q. Determine d(a(l)). 121*l**2 + 36 Let w(n) = -3854*n**2. Let c(a) be the first derivative of -2*a**3/3 - 3732. Give w(c(h)). -15416*h**4 Let y(n) = 59*n + 5. Let m(x) be the third derivative of -x**5/15 - 3819*x**2. What is y(m(i))? -236*i**2 + 5 Let v(y) = -5*y**2. Let b(u) = -9*u + 1924 - 3853 + 1931. Let m(f) = -17*f + 3. Let q(c) = -5*b(c) + 3*m(c). Calculate v(q(p)). -180*p**2 - 60*p - 5 Let n(j) = 2*j + 811. Let w(l) = -930*l + 128. Determine n(w(i)). -1860*i + 1067 Let h(m) = 72*m - 144*m + 0 + 62*m + 3 - 1. Let b(z) = 2*z + 2 - 2 + 0*z. What is b(h(d))? -20*d + 4 Let k(d) = 5*d + 20. Let l be k(8). Let s(t) = -3028 - l*t + 3028. Let i(f) = -f - f + 0*f + f. Determine s(i(p)). 60*p Let y(f) be the first derivative of 1/3*f**3 + 0*f**2 - 122 + 0*f. Let b(l) = -112*l. Give b(y(q)). -112*q**2 Let g(d) = 3 - 693*d**2 - 3 + 755*d**2. Let a(p) = -5*p**2 + 4*p - 8. Let u(f) = 11*f**2 - 9*f + 18. Let c(x) = 9*a(x) + 4*u(x). Calculate g(c(j)). 62*j**4 Let b(t) be the second derivative of -t**4/24 + 71*t**2/2 + 3*t. Let y(i) be the first derivative of b(i). Let p(d) = -2*d**2 - 36. Calculate p(y(w)). -2*w**2 - 36 Let g(j) = -70*j + 14*j**2 + 227*j - 78*j - 80*j. Let v(b) = -23*b**2. What is g(v(h))? 7406*h**4 + 23*h**2 Let n(p) = -20*p - 187222 + 187222. Let j(k) = -195*k**2 - k. Calculate n(j(s)). 3900*s**2 + 20*s Let p(d) = 4*d**2 - 82955. Let z(c) = -148*c. Give z(p(r)). -592*r**2 + 12277340 Let m = -113 - -115. Let u(a) = 52*a**m + 50*a - 50*a. Let w(x) = 2*x**2. Give w(u(l)). 5408*l**4 Let l(k) = 2*k**2 - 6*k**2 + 2*k**2. Suppose 0 = -14*s + 15*s. Let m(w) = 5*w + 13*w + s + 0. Calculate m(l(v)). -36*v**2 Let t(f) = 7*f + 12. Let p(n) = -6*n - 10. Let d(u) = -2*u**2 + 4*u + 10. Let l be d(-2). Let w(k) = l*p(k) - 5*t(k). Let c(r) = -118*r. Determine c(w(j)). -118*j Let h(n) = -25*n + 66. Let x(q) = 9*q - 24. Let g(r) = 4*h(r) + 11*x(r). Let j(v) = 76*v. Determine j(g(b)). -76*b Let k(a) = 375*a**2. Suppose 43*h - 37*h - 17772 = 0. Let c(i) = 2962 + 2*i - h. Calculate k(c(w)). 1500*w**2 Let l(z) = z**2. Suppose -32*i + 35*i = -21. Let d be 4/(-2) - -42 - (7 + i). Let r(q) = -40*q + 5*q**2 + d*q. What is l(r(o))? 25*o**4 Let u(w) = 2*w**2 - 662. Let y(p) = 21*p**2 + 43. What is y(u(i))? 84*i**4 - 55608*i**2 + 9203167 Let j(o) = 4*o. Let s(c) = 717203*c**2 + 2. What is s(j(u))? 11475248*u**2 + 2 Let h(u) be the second derivative of -70*u**3 + u**2 + 5*u - 25. Let g(y) = -y. Calculate h(g(q)). 420*q + 2 Let q(j) = 157*j. Let b(l) = 39*l**2 - 4*l + 4. Give b(q(y)). 961311*y**2 - 628*y + 4 Let b(s) = -3*s**2. Let u(t) be the first derivative of t**6/90 + 7*t**4/8 - 28*t**3/3 - 102. Let m(h) be the third derivative of u(h). What is b(m(g))? -48*g**4 - 504*g**2 - 1323 Let c(o) = 4*o - 4*o - 6*o**2. Let r(x) be the first derivative of -5/3*x**3 + 0*x**2 + 0*x + 33. Give r(c(z)). -180*z**4 Let y = -84 + 79. Let j(h) = 3*h**2 + 12*h - 12. Let g(c) = c**2 + 5*c - 5. Let q(l) = y*j(l) + 12*g(l). Let u(f) = 5*f**2. Give q(u(z)). -75*z**4 Let k(z) = -7*z**2 + 24. Let a(f) = -69*f**2 + 234. Let p(i) = -12*a(i) + 117*k(i). Let d(r) = -1758*r**2 - 2. What is d(p(c))? -142398*c**4 - 2 Let a(w) = 0 + 3 - 2 - 2. Suppose -4*i = -10*i - 18. Let t(j) = -4*j**2 + 3. Let h(s) = i*a(s) - t(s). Let r(l) = -3*l. Give h(r(b)). 36*b**2 Let h(o) = 2*o**2. Let d(n) be the second derivative of 127*n**4/4 - 1177*n. Determine h(d(j)). 290322*j**4 Let b(w) = 5*w**2 - 2*w - 610. Let s(p) = -3*p**2 + 2*p. Let v(c) = b(c) + s(c). Let j(m) = -5*m. Calculate v(j(o)). 50*o**2 - 610 Let n(t) = 2*t. Let f(s) = 4*s - 1021027. Calculate n(f(p)). 8*p - 2042054 Let m(y) = 2*y**2. Let u(n) = -275*n + 6*n - 366*n + 16*n. What is u(m(z))? -1238*z**2 Let z(q) = -5691518 + 6*q**2 + 5691518 + 4*q - 4*q. Let u(y) = 17*y**2 - 6*y + 6. Let p(n) = -n**2 + n - 1. Let v(j) = -6*p(j) - u(j). What is v(z(r))? -396*r**4 Let i(b) be the third derivative of 5*b**4/8 - b**3/3 - b**2 - 106*b - 4. Let l(k) = -54*k**2 - 2. What is l(i(u))? -12150*u**2 + 3240*u - 218 Let m(f) = 2531*f**2 - 2541*f**2 - 6 - 8 + 17 - 3. Let b = -5 + -3. Let g(l) = -l**2 + 1. Let n(q) = 10*q**2 - 8. Let a(c) = b*g(c) - n(c). What is m(a(j))? -40*j**4 Let y(k) = 19 - 7*k + 6*k + 0*k + 0*k. Let f(u) = u - 8. Let w(g) = g**2 + 6*g - 48. Let a(x) = 6*f(x) - w(x). Calculate y(a(o)). o**2 + 19 Let m(h) = 5*h**2. Suppose -26 - 22 = -3*s. Let z(n) = -n**2 + 19*n - 30. Let d be z(s). Let w(v) = -6 - 12 + d + v**2. What is m(w(g))? 5*g**4 Let m(j) = 27*j - 6. Let h(a) = -5*a + 1. Suppose -186 - 102 = -48*x. Let k(f) = x*h(f) + m(f). Let s(c) = 103*c. Determine s(k(w)). -309*w Let b(o) = 2*o**2. Let j = -22 + 30. Let v(k) = -29*k - 7*k
{ "pile_set_name": "DM Mathematics" }
f + 3, 0*j = f + l*j - 7. Solve -4*h + 3 = -f for h. 1 Let h be ((-64)/160)/(-1*(-1)/(-5)). Solve 0 = -o + h - 7 for o. -5 Suppose -v = v - 56. Let n = v + -23. Suppose n*x - 45 = -l, x - 5*l - 18 = -x. Solve 3*k - 6 = x for k. 5 Let w be 1/3 - 33/(-9). Suppose -2*h + 32 = 3*s, -w*h + 62 = -s + 12. Suppose 3*f = 2 + h. Solve 3*z = f*z + 2 for z. -1 Suppose -v = -3 - 2. Suppose 88 = 2*j - 3*u - 7, 10 = 2*u. Let o = j + -50. Solve -o - 20 = -v*z for z. 5 Let v(y) = 4*y - 29. Let u be (-1 - (-4)/1) + -20. Let z = u + 26. Let g be v(z). Solve g*b + 6 = 4*b for b. -2 Let h = -7 + -16. Let c = 26 + h. Solve c*y - 6*y + 15 = 0 for y. 5 Let z = -1521 + 1525. Solve 5 = 3*u - z*u for u. -5 Suppose -52 = 5*l - 77. Solve -l*z - 9 = -34 for z. 5 Suppose -8*t + 6 = -9*t. Let l(k) = -k**3 - 8*k**2 - 17*k - 13. Let q be l(t). Let r = -5 - -10. Solve r = 4*n + q for n. -3 Let x(z) = z**2 + 13*z + 4. Let w be x(-13). Let d be (-1 - 91)/(-4) - w. Let u(h) = h + 4. Let q be u(0). Solve -d + q = -3*i for i. 5 Let s be (-20)/50 + 164/10. Suppose s*i - 2*i = 0. Solve i = 2*p - 5*p + 6 for p. 2 Let n be (-62)/310 + (-153)/(-15). Solve -30*y = -35*y - n for y. -2 Let a(s) = -s**2 - 7*s + 6. Let j be a(-7). Suppose j = -4*r + 5*r. Solve -r = -3*b - 18 for b. -4 Let y be ((-5)/(-15))/(2/(-18)) + -26. Let v = y + 32. Solve -v*m = -0*m - 3 for m. 1 Let y(o) = -4*o - 5. Let j be y(-5). Let z = -52 - -60. Let l(w) = 3*w - 20. Let p be l(z). Solve -c - p*c + j = 0 for c. 3 Suppose -2*a = 3*k - 45, 4*k + 71 = 4*a + 11. Solve 10*f - a = 2 for f. 2 Let f = -9 + 13. Suppose q + f = 20. Solve -4*p + q + 4 = 0 for p. 5 Let i(n) = 3*n**2 + 6*n. Let q(z) = -2*z**2 - 6*z. Let t(y) = -3*i(y) - 4*q(y). Let r be t(5). Solve 6*x - x = r for x. 1 Let w = 35 + 20. Let x = -53 + w. Solve -16 = -x*b + 6*b for b. -4 Suppose 21*d - 9*d - 144 = 0. Solve 0 = 7*a - 16 - d for a. 4 Suppose 3 = -2*p - 3*m + 14, 4*p + m = 17. Suppose -2 = -t - y, -6 = t + y - p*y. Suppose 5*n - 3*n + 18 = 3*r, 12 = 2*r + 4*n. Solve t = r*j - j - 10 for j. 2 Suppose 0 = -0*x + 3*x. Suppose 0 = 3*h - d + 2*d, x = -4*h - 3*d. Suppose h = -10*i + 14*i. Solve i = -3*u - 0 - 3 for u. -1 Let y = 751 - 717. Solve 32*t - y*t = 6 for t. -3 Suppose 4*i - 2*r + 58 = 0, i + 22 = 4*r - 2*r. Let v = i - -17. Suppose -v*w + 6*c = 2*c - 34, 2*c - 10 = -2*w. Solve -n = 2*n + w for n. -2 Let n = 7 - 4. Suppose k = 1 + n. Suppose 0 = -2*q + k*i - 2, 0*i + 8 = 2*q - 2*i. Solve -q = -3*w - 21 for w. -4 Let n(r) = -r + 3. Let q be n(-3). Let x(z) = -z + 16. Let g be 20/(-50) - 104/(-10). Let k be x(g). Solve 3*f + q = -k for f. -4 Let h(a) = a**2 + 15*a + 4. Let y be h(-15). Suppose 0 = y*f - 8 - 24. Solve -f = 6*t - 4*t for t. -4 Let d(j) = j - 1. Let p be d(4). Suppose 2*a - 10*a = -144. Suppose 0 = 7*z - 2*z + 3*v - a, 5*z = 3*v + 12. Solve -z*c = -0 - p for c. 1 Let q be (9/(-6))/((-24)/160). Suppose q = d + 7. Solve 0 = 4*f - d*f + 2 for f. -2 Suppose q - 6 = 2*h - 0*q, h + 4*q = -21. Let u = h + 8. Suppose 0 = -7*j + 10*j - 6, 4*b = -4*j + 68. Solve -2*y + b = u*y for y. 3 Let v be 18 + 3/(-1 - -4). Let a be 0/(-1) - -8 - 1. Suppose 3*z - 5 = a. Solve -z*r - v = -3 for r. -4 Let p be 130/8 + (-6)/24. Suppose -2*u + 4 = -2*z + u, p = 4*u. Solve 0 = -z*t + 8 for t. 2 Suppose 0 = -4*u - 3 + 11. Solve -7 = u*r - 1 for r. -3 Suppose -250 = 2*t - 288. Solve 0 = 3*z - 16 + t for z. -1 Suppose 0 = -29*z + 7*z + 66. Solve -j + z*j = -2 for j. -1 Suppose -506*w - 25 = -511*w. Solve 12 = -w*p - 13 for p. -5 Let k(d) = d**3 + 14*d**2 - 16*d - 10. Let r be k(-15). Solve r*h - 15 = 5 for h. 4 Suppose 3*a - 6 = -3, 3*s = a + 41. Suppose -16 - s = -6*c. Solve 19 = -c*n + 4 for n. -3 Let c(x) = -11*x - 204. Let w be c(-19). Solve -w*d + d + 12 = 0 for d. 3 Suppose 3*q - 1 = 95. Let p = -27 + q. Suppose -d = -5*a + 11, 5*d + 0*d = a - 7. Solve -a*w + p*w = 0 for w. 0 Let w be (45/10 + -2)*2. Suppose 4*o + a + 3*a + 4 = 0, -3*o = 5*a + 9. Solve -w = o*l - 7*l for l. 1 Let j = -46 - -56. Let h(i) = -3*i + 32. Let l be h(j). Solve 0 = l*w - 3*w + 2 for w. 2 Suppose -3*v + 4*o + 124 = 0, 149 = 3*v - 5*o + 6*o. Let c = 59 - v. Solve -2*b = -1 + c for b. -5 Let z(m) = -3*m**3 - 19*m**2 - 7. Let s(q) = -q**3 - q**2 - 1. Let f(r) = 2*s(r) - z(r). Let p be f(-17). Solve -p*v + 5 + 0 = 0 for v. 1 Let v = 579 + -571. Solve -v = 4*x + 12 for x. -5 Suppose -2*j = 2*j. Let n(i) = i**3 - 16*i**2 + 15*i + 7. Suppose 14*a + 60 = 18*a. Let t be n(a). Solve j = -3*p + t*p for p. 0 Suppose 4*d - a - 60 = 0, -3*d - a + 32 = -20. Suppose -5*b + d = -44. Solve 0*i - b = 3*i for i. -4 Let g = -22 + 28. Let a = 10 - g. Solve t - 2*t = -a for t. 4 Suppose 4*v - v = 9. Let u(l) = -l**3 - 4*l**2 + 38*l + 177. Let a be u(-5). Solve v = -5*z - a for z. -3 Let y(c) = -1 + 0*c**3 + 2*c**2 - 42*c + c**3 + 40*c. Let x be y(-2). Solve -x = a - 0 for a. -3 Let o = -34 + 36. Suppose 0 = -o*n - 2*n + 60. Suppose -n = -5*i + 10. Solve v + i - 6 = 0 for v. 1 Suppose -2*s + 43 = -r, 0 = -5*r - 28 + 3. Let v = 25 - s. Solve g = -g + v for g. 3 Suppose 12 = 4*k - k. Suppose -5*y - 4*a + 44 = 0, 7*y - 2*y = -a + 41. Suppose 353*c = 326*c. Solve -y = k*w - c*w for w. -2 Suppose -4*b - 170 = -5*t, -14*t + 5*b - 5 = -15*t. Solve t = -4*d + 22 for d. -2 Let g = 36 - 31. Let s(y) = y**3 - 5*y**2 + 3. Let l be s(g). Solve t - 4 = l*t for t. -2 Suppose -4*i - 10 = 5*n, 2*n + 13 + 4 = i. Let s be 3 - (-2 - n) - -10. Suppose -12 = -3*t - 0. Solve -t*b + s = -7 for b. 4 Let p(x) = 6*x - 126. Let u be p(23). Solve u*o = 11*o + 5 for o. 5 Let t(i) = -i**3 - 2*i**2 - i. Let k = 0 - 2. Let j be t(k). Let p be j/7 - (-24)/(-84). Solve m + m - 4 = p for m. 2 Let x be (-27)/(-6)*6/9. Solve 0*p - 15 = x*p for p. -5 Let c be (-2)/10 + (-424)/(-20). Let v be -2*(-3)/(-6)*1*-3. Suppose -v*p = 18 - c. Solve 14 + p = 3*w for w. 5 Suppose 77*k - 72*k - 100 = 0. Solve -4*i + k = i for i. 4 Let m = 254 + -251. Solve -m*v + 1 = 7 for v. -2 Let f(g) = g**3 + 4*g**2 - 6*g - 2. Let j be f(-5). Suppose 5*k = 2 + 18. Solve k = j*c + 16 for c. -4 Let l be -1*(-6 + (-10 - -7)). Solve 56*p - 59*p - l = 0 for p. -3 Suppose -4 = -3*u + 2. Suppose 5*d - b + 1 = 10, -4*d + 10 = u*b. Suppose -2*w + 3*w - 16 = -5*c, -c + 1 = -d*w. Solve -c*a + a = 6 for a. -3 Suppose 9*d = -5*d + 112. Solve 0 = d*l - 4*l for l. 0 Suppose 8 = 5*b + 4*z, -2*b + 4 = 2*z - 0*z. Suppose 3 = -d - b. Let q be (-5)/((-45)/(-6))*d. Solve -q*h + 0*h = 2 for h. -1 Let k(l) = -33*l**2 + 397*l. Let a be k(12). Solve 0 = -20*q + a*q + 32 for q. 4 Let r(h) = h**3 - 15*h**2 + 16*h - 27. Let s be r(14). Solve -s = -k + 3 for k. 4 Let l be 1/(-6) - (-16)/96. Solve l = 3*h - 0*h for h. 0 Suppose -58*n = -123 - 51. Solve 10 - 22 = -n*d for d. 4 Suppose -3*j = j. Suppose j*h + 2*h - 10 = 0. Let k be -3*(-5)/(15/2). Solve -k*w - 3*w = -h for w. 1 Suppose 2*z + 2 = c, c + 4*z + 24 = 5*c. Solve c*y - 8 = 6*y for y. 2 Suppose -2*j + 4*w + 16 = 0, 6*j - 30 = j + 5*w. Suppose g + f - 10 = 0, -4*f + j = -3*g - 1. Solve -g*h + 23 = -2 for h. 5 Suppose -2*m - 48 = 2*j + 122, 5*m - 10 = 0. Let g = j - -91. Solve 3*w - 2 = g*w for w. -2 Let l(c) = -c**3 - 12*c**2 + 12*c - 12. Let h be l(-13). Solve -6*n + h = 13 for n. -2 Suppose 0 = -r - 0*h + 5*h + 5, 2*r + 3*h = -3. Solve 6 = -2*i - r for i. -3 Suppose -5*o - 4*k + 592 = 0, -o + 130 = -0*o - 5*k. Let v be 8/(-28) + o/28. Solve -v*t + 2*t + 10 = 0 for t. 5 Let x(w) = -w**2 + 5*w - 3. Let s be x(5). Let m = 4 + s. Solve r = -5 + m for r. -4 Suppose -12*y - 30 = -18*y. Let t be (y + (-23)/5)/(1/10). Solve -7*c = -6*c + t for c. -4 Let c(g) = 2*g**3 + 18*g**2 + 12*g - 7. Let v be c(-8). Solve 21*u - 16*u - v = 0 for u. 5 Suppose i + 0*i - 1 = 0. Let h(j) = 3*j - 2. Let v be h(-4). Let g be -2*(v/4 - -1). Solve i = -g*k - 4 for k. -1 Let q = 2521 + -2518. Solve 5*o = 13 - q for o. 2 Let l = 6 - 3. Suppose 42 + 54 = 4*c + 2*o, -l*o = 0. Let p be (4/11)/2 - 6/33. Solve -5*k - c - 1 = p for k. -5 Let a be 43/(3/(-1) - -2). Let y = a - -43. Solve 5*b - b = y for b. 0 Suppose 2*k - 48 = -0*k. Suppose 0 = -2*g - g - k. Let m be (-25)/(-4) + 2/g. Solve -m*c = -c - 15 for c. 3 Let v(x) = 3*x**2 + 41*x + 69. Let b be v(-12). Solve 2*o - b = -15 for o. -3 Let n = 131 - 113. Solve -17*t = -n*t for t. 0 Suppose u - 7 = -3*a, -2*a = -0*a - 4
{ "pile_set_name": "DM Mathematics" }
0? 8 Let y = 3 - 2. What is the units digit of 2 - ((-4)/(-2) - y)? 1 Suppose -3*u + 2*u + 65 = 0. Suppose -5*y - u = -5*t, -5*y + 3 + 12 = 3*t. What is the tens digit of t? 1 Suppose 18 = -0*g + 3*g. What is the units digit of g? 6 Suppose 0 = 3*b - 8*b. Suppose 5*g + 2 + 13 = b. Let h = 15 + g. What is the tens digit of h? 1 What is the units digit of ((-1752)/(-21) - (-9)/(-21)) + -2? 1 Let z(h) = h**2 + 11*h + 27. Let f be z(-8). Suppose s + 18 = 4*s + 2*w, -2*s + 12 = -2*w. Suppose p - f*p = -s. What is the units digit of p? 3 Let l = 7 + -4. Suppose r + 12 = l*g - 39, -22 = -g + 2*r. What is the units digit of g/4 - -1*2? 6 Suppose b - 3*i - 13 = -0*i, i = b - 13. What is the tens digit of b? 1 Let j = 11 - -25. What is the tens digit of j? 3 Suppose 0 = -5*f + 2*f + 300. What is the units digit of f? 0 Suppose 67*d = 73*d - 1278. What is the units digit of d? 3 Let r(w) = -12*w - 2. Let k be r(-2). Suppose 3*f = -4*s + 34, -k - 29 = -5*f - s. Suppose z + 1 - f = 0. What is the units digit of z? 9 Let s = 5 - 3. Suppose 3*d = s*y - 1 + 2, -15 = -5*d. Let q = 7 + y. What is the units digit of q? 1 Suppose 2*s - 476 = -2*z - 2*z, 5*z - 573 = 3*s. What is the units digit of z? 7 Let k = -9 + 12. Suppose -s - q + k = s, s - q = 6. What is the units digit of s? 3 Suppose -2*m - 11 = -81. What is the units digit of m? 5 Suppose -21 = 5*c - 3*d, 2*c - 15 = 3*c + 3*d. Let v be (-3 - c)/((-3)/(-2)). Suppose -y = v*y - 21. What is the units digit of y? 7 Let c = -21 - -17. Let f = 12 + c. What is the units digit of f? 8 Suppose 5*x - 10 = -0*x. Let i(d) = -2*d**2 + 2*d - 2. Let v be i(2). What is the units digit of x + 2/(-2)*v? 8 Let t(j) = -j**2 + 8*j - 4. Let n = 16 + -33. Let g be n/(-3) + (-10)/15. What is the units digit of t(g)? 1 Let h(u) = 3*u**3 + 11*u**2 + 8*u + 5. Let i(m) = -2*m**3 - 7*m**2 - 5*m - 3. Let d(z) = -5*h(z) - 8*i(z). What is the units digit of d(2)? 1 Let p be (-5)/(-1 + 15/18). Suppose 0 = s - 6*s + p. What is the units digit of (s/9)/((-4)/(-30))? 5 Let u(g) be the second derivative of -g**5/20 - g**4/12 - g**3/6 + g**2 - 4*g. What is the units digit of u(0)? 2 Let x(f) = -6*f**2 + 2*f - 1. Let v be x(2). Let d be 2*2/8*-2. What is the units digit of v/(-6)*(1 - d)? 7 Suppose 80 = -4*k + 24. Let v = -11 - k. What is the units digit of v? 3 Let v = 8 + -7. Suppose 2*t = 2*d - 10, -2*t = -3 + v. What is the units digit of d? 6 Let h = -19 - -22. Suppose r + 110 = 5*k + h*r, -3*k + 4*r = -40. What is the units digit of k? 0 Let b(p) be the third derivative of -p**6/120 - 7*p**5/60 + 5*p**4/24 - 2*p**3/3 - 4*p**2. What is the tens digit of b(-8)? 2 Let d be (-22)/(-3) - (-1)/(-3). Let w = -1 + d. What is the units digit of w? 6 Suppose -16 = 4*h, 0*j - 4*h - 771 = -5*j. What is the units digit of j? 1 Let d = -2 + 3. Let x be (76/(-12))/(d/(-6)). Let b = x - 26. What is the units digit of b? 2 Let y(o) = -2*o**3. Let f be y(-1). What is the units digit of 17/(-1 + f - 0)? 7 What is the tens digit of 32625/117 + (-8)/(-52)? 7 Suppose 124 = 2*j - 198. Suppose 3*k - 2*o = o + 159, -j = -3*k + 2*o. What is the tens digit of k? 5 Let w(u) = 5*u + 3. Let b be w(6). Suppose -3*i + 32 + 19 = 4*h, -3*h = -3*i - b. What is the units digit of h? 2 Suppose -3*k - 108 = -6*k. What is the units digit of k? 6 Let n(r) = 14*r**3 - 3*r**2 - 5*r - 2. What is the units digit of n(3)? 4 Let v = 129 - 87. What is the tens digit of v? 4 Let n(t) = 13*t + 12 + 9*t**2 - 4*t - t**3 + 0*t**3. What is the units digit of n(10)? 2 Let s(t) be the third derivative of -5*t**4/24 + t**3/3 + t**2. What is the tens digit of s(-2)? 1 Let u(m) = m + 3. What is the units digit of u(7)? 0 Suppose 9*u - 320 = 4*u. What is the units digit of u? 4 Suppose 2*j - 27 = -5. What is the units digit of j? 1 Let b be (1 + -2)*(10 + -4). Let f = -10 - b. Let o = f + 6. What is the units digit of o? 2 Suppose 5*q = 8*q - 33. Suppose -81 = -2*x + q. What is the units digit of x? 6 Let s = 63 + -30. Suppose 4*r + 5 = s. What is the units digit of r? 7 Let y(f) = 3*f**2 + 2*f. Suppose 0*c + 10 = -5*c, 3*w - 4 = -c. What is the tens digit of y(w)? 1 Suppose -5*x + 609 = 3*q - 0*q, -371 = -3*x + q. What is the tens digit of x? 2 Let m(l) be the first derivative of -l**3/3 + 9*l**2/2 + 5*l - 1. Let v = 54 + -46. What is the tens digit of m(v)? 1 Let p = -3 + 5. Let v be (12/(-8) - -1)*-20. Suppose p*r + v = 3*r. What is the units digit of r? 0 Suppose -2*n = -26 - 14. What is the tens digit of n/(-6)*(-2 + -1)? 1 What is the units digit of (56/(-12))/((4/(-3))/4)? 4 Suppose 0 = 5*f - z - 207, -4*f - z = -0*z - 171. What is the tens digit of f? 4 Let c = 141 + -105. What is the units digit of c? 6 Suppose 47 - 215 = -2*c. What is the tens digit of c? 8 Suppose 3*x = x - 162. What is the units digit of x/(-15) + (-6)/15? 5 Let b be 2/(-2) - 0 - 21. Let k = -14 - b. Suppose -4*r - 8 = -k*r. What is the units digit of r? 2 Let q = -43 - -121. What is the tens digit of q? 7 Let t(s) = s**3 + 6*s**2 + 4*s + 5. Let l be t(-5). Let p be -5*(-7)/((-35)/6). Let d = p + l. What is the units digit of d? 4 Let n(p) = -p**2 + 8*p + 11. Let y be n(9). Suppose y*x - 4*x + 12 = 0. Suppose h - 4*h + x = 0. What is the units digit of h? 2 Suppose -2 = o + 14. Let t be (-32)/(-14) - o/(-56). What is the units digit of 1/t*(-2 - -20)? 9 What is the units digit of (-170)/(-5) + -2 + 0? 2 Suppose 23 + 31 = w. What is the tens digit of w? 5 Let g(z) be the second derivative of -z**5/120 + z**4/6 + z**3/3 - 2*z. Let i(m) be the second derivative of g(m). What is the tens digit of i(-7)? 1 Let i(d) = 47*d**3 + 2*d**2 - 1. What is the units digit of i(1)? 8 Suppose -4*i = k + 4*k - 842, 5*k = 2*i + 854. What is the tens digit of k? 7 Let n be (2/6)/(1/(-6)). What is the tens digit of (-138)/(-4) - (-1)/n? 3 What is the tens digit of 14/((-5)/(-2) - 2)? 2 Suppose 3*h + 261 = 954. What is the tens digit of h? 3 Suppose 20 = -5*n - 55. Let y = 41 + n. What is the tens digit of y? 2 Suppose -4*b + 65 = -63. Suppose -q = -5*q + b. What is the units digit of q? 8 Suppose -33*o + 30*o = -75. What is the tens digit of o? 2 What is the units digit of 9/(-4)*(-1 - 3)? 9 Let o(v) = v + 9. Suppose 2*f = -2*p - 2*p - 14, 2*f = 2*p + 22. Let u(b) = b + 2. Let g be u(p). What is the units digit of o(g)? 5 Suppose -10*b + 394 = 24. What is the units digit of b? 7 Suppose d = -7 + 10. Suppose d*t = 169 - 55. What is the tens digit of t? 3 Suppose 143 + 31 = 3*h. What is the tens digit of h? 5 Suppose -5*l = -4*y - 2*l + 582, 2*l + 437 = 3*y. Suppose q + y = 4*q. What is the units digit of q? 9 Let a(b) = -23*b + 0 + 0 + 2 - 8*b. Let j be a(-3). Suppose t - 2*k = 4*t - 64, j = 5*t + k. What is the tens digit of t? 1 Let n be -7*(1 + 38/(-14)). Suppose z = -3*z + 12. Suppose -z*r + n = r. What is the units digit of r? 3 Let v be 66/8*(-8)/(-3). What is the tens digit of ((-17)/(-2))/(11/v)? 1 What is the tens digit of (-1)/(1/(-81)*1)? 8 Suppose 6*s - s + 5*l = 125, -25 = -5*l. Suppose 5*f = -m + 3*m + s, 2*f + 1 = -m. Suppose f*y + 2*y = 32. What is the units digit of y? 8 Let g be 1 - 1 - (1 + -34). Suppose 3 = -2*o + 5*c + 32, 0 = -4*o + 5*c + g. What is the units digit of o? 2 Suppose -5*a - i + 484 = 0, -4*i = 3*a - 4*a + 80. What is the units digit of a? 6 Let r be (22/4)/(8/16). Suppose 3*n - 80 = -n. Let b = n - r. What is the units digit of b? 9 Let v(o) = -o**3 + 2*o**2 - 7*o + 5. Let t(b) = -2*b**3 + 4*b**2 - 15*b + 11. Let j(g) = -6*t(g) + 13*v(g). What is the units digit of j(-2)? 7 Suppose 3*r - 22 = -1. Suppose -2*g - r = -5*g + 2*b, -10 = -2*g - 4*b. Suppose g*m + 3*o + 3 = 0, 3*m - 6 - 15 = 3*o. What is the units digit of m? 3 Suppose 2*t = t - 1. Let k be 5/(-2)*t*2. Suppose 32 = 3*u + k*w, w - 38 = -4*u - w. What is the units digit of u? 9 Suppose 2*y = 15 - 5. Let d be 1/((-12)/(-10) + -1). Suppose 15 + y = d*g. What is the units digit of g? 4 Let h = 47 - 12. What is the units digit of h? 5 Let a = 8 + 19. Let n = a + -9. What is the tens digit of n? 1 Suppose 0*a - y = -2*a - 3, -a + 21 = -5*y. Let k(j) = -j + 4. What is the units digit of k(a)? 8 Suppose -5*k - 6 = 2*j, 6*k + 16 = 2*k. What is the units digit of j? 7 Let i(o) = -o**3 + 7*o**2 + o - 2. Let l be i(7). Suppose 0 = j - l*j + 40. Supp
{ "pile_set_name": "DM Mathematics" }
et x(a) = b*y(a) + 4*m(a). Let c(l) = -2*l. What is x(c(d))? -12*d**2 Let x(a) = -17. Let i(w) = -w**2 + 1. Let h(c) = -17*i(c) - x(c). Let b(n) = 3*n. What is h(b(d))? 153*d**2 Let h(l) be the first derivative of 6 + 4*l**2 + 3 + 0 - 2*l**2. Let q(i) be the first derivative of 3*i**2/2 + 1. What is h(q(d))? 12*d Let y(w) = 4*w. Let a(l) = -3*l**2 - 2. Let u(b) = -b**2. Let p(z) = -a(z) + 2*u(z). Let m(r) be the first derivative of p(r). Give m(y(i)). 8*i Let h(q) = -q**2 - q. Let r(f) = 7*f**2 + 9*f. Let s(d) = 18*h(d) + 2*r(d). Let w = -3 + 4. Let p(j) = 2*j**2 + 1 - w. Give p(s(y)). 32*y**4 Let b(v) = -v**2 - 17 + 17. Let z(w) = 5*w. Give z(b(h)). -5*h**2 Let q(x) = -x. Let y(r) = 4*r**2 + 10*r. Let b(d) = -10*q(d) - y(d). Let c(n) = -34*n - 5. Let u(o) = -27*o - 4. Let w(k) = 4*c(k) - 5*u(k). Give b(w(i)). -4*i**2 Let b(k) = k - 4*k - 2*k. Let x(t) = -2*t - 3*t + 3*t + t. Calculate x(b(m)). 5*m Let z(d) = 1. Suppose 5*q = r + 3, r + 0*r + 3 = 4*q. Let i(b) = -2*b - 1 - b + 4*b + q*b. Let o(t) = i(t) + z(t). Let l(v) = v. Determine o(l(u)). u Let l(v) be the first derivative of -2*v**3/3 - 6. Let h(j) = -4*j. Calculate l(h(m)). -32*m**2 Let s(p) be the first derivative of p**4/6 + 2*p + 2. Let z(i) be the first derivative of s(i). Let u(f) = -f. Calculate z(u(v)). 2*v**2 Let c(g) be the second derivative of 5*g**3/6 - 8*g. Let a(r) = -r. Calculate a(c(i)). -5*i Let w(d) be the third derivative of 0 + 0*d + 0*d**3 + 1/15*d**5 + 3*d**2 + 0*d**4. Let x(c) = -c**2. Give w(x(i)). 4*i**4 Let g(y) = -y**2. Let o(s) = s**3 + 6*s**2 + s + 7. Suppose -5*m = -0*m + 30. Let t be o(m). Let p(w) = 0 - 2*w + t - 1. Calculate g(p(x)). -4*x**2 Let h(i) = i. Let k(a) = 5*a**2 - 2*a**2 - 5*a**2 + a**2. What is k(h(b))? -b**2 Let s(n) = -21*n. Let k(x) be the third derivative of -x**4/4 + x**2 - 2*x. Determine k(s(c)). 126*c Let o(h) = 2*h**2 - 39*h. Let r(f) = 14*f**2. Calculate o(r(k)). 392*k**4 - 546*k**2 Let p(i) = i. Let u be ((-12)/10)/(3/10). Let o be -10*(10/u - -2). Let n(s) = -o*s**2 + 0*s**2 + 3*s**2. Give n(p(c)). -2*c**2 Let c(d) = 31*d**2. Let g(n) = -2*n**2 + 12. Calculate c(g(x)). 124*x**4 - 1488*x**2 + 4464 Let w be ((-3)/(-2))/(2/4). Let x(f) = 2*f**2 - 7*f - 7. Let l(p) = p**2 - 3*p - 3. Let q(c) = w*x(c) - 7*l(c). Let z(g) = -2*g**2. Give z(q(b)). -2*b**4 Let y(c) = 3*c. Let l(o) = -2642*o**2. What is y(l(k))? -7926*k**2 Let h(b) = -2*b**2 + 3*b - 3. Let n(k) = -25*k**2 + 35*k - 35. Let t(y) = -35*h(y) + 3*n(y). Let x(s) be the first derivative of 2*s**3/3 + 11. What is x(t(c))? 50*c**4 Let o(a) = 6*a**2. Let f(z) = 224*z. Calculate o(f(t)). 301056*t**2 Let m(j) = j**2 + j + 1. Let d(u) = 18*u**2 + 24*u + 24. Let o(l) = -d(l) + 24*m(l). Let i(f) = -3*f**2 - f**2 + 6*f**2. Give i(o(t)). 72*t**4 Let p(i) = 6*i**2. Let v(z) = 5*z**2 - 7. Let n(j) = 4*j**2 - 6. Let o(d) = 7*n(d) - 6*v(d). Calculate o(p(c)). -72*c**4 Let o(k) = 4*k. Let a(h) = h + 7. Let t be a(-5). Let r(q) = -2*q - 2*q + t*q. Give o(r(u)). -8*u Let u(v) = 5*v**2. Let b(t) be the third derivative of 0 + 0*t - 2*t**2 + 0*t**3 + 1/12*t**4. Give u(b(n)). 20*n**2 Let n(w) = -w**2 + 0*w**2 + 2*w**2. Let s(z) be the second derivative of z**4/3 + z. What is n(s(c))? 16*c**4 Let r(p) = 71*p. Let g(u) = -7*u. What is r(g(s))? -497*s Let j(u) = -2*u. Suppose 0 = 3*w - 6*w + 12. Suppose -k + w*k - 21 = 0. Let h(p) = -k*p + 6*p - p. Determine h(j(y)). 4*y Let k(x) be the first derivative of -4*x**3 - 9. Let d(c) = c. What is k(d(y))? -12*y**2 Let f(s) = 5*s**2. Let m(n) = -3*n - 20. What is m(f(j))? -15*j**2 - 20 Let v(a) = -5*a**2. Let q(h) be the second derivative of -h**4/12 - h. Give q(v(d)). -25*d**4 Let p(d) = 2*d**2. Let r(s) = -5*s - s - 3*s. Calculate r(p(g)). -18*g**2 Let a(i) = 8*i + 2. Let j(r) = -201*r - 51. Let w(b) = -153*a(b) - 6*j(b). Let k(g) = g**2. Calculate k(w(f)). 324*f**2 Let y(a) = 2*a**2. Let c(s) = -18*s - 9*s + 8*s - 7*s. Determine c(y(i)). -52*i**2 Let h(c) = -16*c**2 + 2*c. Let d(l) = -l**2 - l. Let z(t) = 2*d(t) + h(t). Let a(u) = 5*u. Give z(a(g)). -450*g**2 Suppose -2*w - 9 = -5*w. Let v(d) = -2*d - d + w*d + 2*d**2. Let x(j) = -3*j. Give x(v(h)). -6*h**2 Let j(p) = 15*p**2. Let d(g) = -g - 4. Let u(h) = -6*h + 26. Let x(b) = b - 5. Let m(v) = 2*u(v) + 11*x(v). Let q(o) = -3*d(o) + 4*m(o). Determine j(q(r)). 15*r**2 Let t(k) = -k**2 + k - 1. Let u(n) = -6*n**2 + 4*n - 4. Let d(s) = -4*t(s) + u(s). Let b(y) = 2 - 2 + 2*y**2. Give b(d(x)). 8*x**4 Let p(s) be the second derivative of 0*s**2 + 1/3*s**3 + 0 + 4*s. Let h(t) = 4*t**2. What is h(p(o))? 16*o**2 Let x(q) = -q**2 - 3*q + 3*q. Let z(g) be the second derivative of 1/6*g**3 + 0*g**2 + g + 0. Calculate x(z(j)). -j**2 Let o(t) be the third derivative of 7*t**5/20 - 16*t**2. Let w(p) = 2*p. Calculate o(w(a)). 84*a**2 Let w(v) = -5*v**2 + 7. Let t(y) = -2*y**2 + 3. Let h(x) = -7*t(x) + 3*w(x). Let n(q) be the second derivative of -5*q**3/3 + 78*q. Determine h(n(a)). -100*a**2 Let c(y) = -10*y**2 - 11*y - 18. Let f(o) = -o. Determine f(c(j)). 10*j**2 + 11*j + 18 Let z(c) = 3*c. Let b(j) = 9*j + 4*j - 2*j - 2*j. Determine z(b(u)). 27*u Let o(g) = -17*g**2 - 5. Let s(x) = 8*x. Determine s(o(k)). -136*k**2 - 40 Let i(g) = -g**2. Let o(x) = -41*x + 3. Determine o(i(f)). 41*f**2 + 3 Let b(v) = -31*v. Let d(u) = -1. Let y(l) = -l**2 + 4. Let q(c) = 4*d(c) + y(c). Calculate b(q(r)). 31*r**2 Let a(k) = -k. Let l(u) = -28*u**2 + 4*u. What is l(a(s))? -28*s**2 - 4*s Let o(d) = -d**2. Let n(c) = 4*c**2. What is n(o(r))? 4*r**4 Let d(w) = -11*w**2 + 30*w**2 - 8*w**2 - 12*w**2. Let u(x) = 3*x**2 - 5*x - 5. Let z(r) = -2*r**2 + 2*r + 2. Let m(p) = 2*u(p) + 5*z(p). What is m(d(n))? -4*n**4 Suppose 0 = 2*u + 2*u - 16. Suppose 0 = -3*p + 8 + u. Let l(t) = 3*t - 3*t + p*t. Let o(g) = -2*g. Determine o(l(f)). -8*f Let n(a) = -17*a + 2. Let y(k) = -9*k. Determine y(n(u)). 153*u - 18 Let t(d) = -5*d**2. Let r(n) = 4*n**2 - 3*n - 3. Let z(u) = -7*u**2 + 5*u + 5. Let p(w) = 5*r(w) + 3*z(w). Determine p(t(k)). -25*k**4 Let j(f) be the first derivative of -5*f**4/12 - f - 2. Let q(u) be the first derivative of j(u). Let z(k) = 6 - 6 + k. Give q(z(g)). -5*g**2 Let j(p) = -3*p**2 + 55. Let g(d) = d. Determine g(j(a)). -3*a**2 + 55 Let l(v) = -v**2. Let x(u) = 6 - 9*u - 7 + 1. Calculate x(l(i)). 9*i**2 Let a(k) = -21*k + 15. Let x(d) = -d + 1. Let m(f) = -a(f) + 15*x(f). Let t(v) = -v**2 + 2*v**2 - 2*v**2. What is t(m(q))? -36*q**2 Let a(b) = 3*b**2. Let r(m) = 78*m**2. Determine a(r(l)). 18252*l**4 Let y(f) = 2*f. Let c(r) be the third derivative of -5*r**4/8 + 11*r**2. Calculate y(c(p)). -30*p Let q(h) = 2*h**2. Let d(s) = 27*s**2 + 2*s. Determine d(q(l)). 108*l**4 + 4*l**2 Let z(f) = -3*f**2. Let t(a) = -1511*a. Give z(t(j)). -6849363*j**2 Let o(l) = 9*l. Let m(q) = -47*q**2. Give m(o(c)). -3807*c**2 Let f(u) = 2*u - 1. Let t(d) = d - 1. Let z(b) = 5*f(b) - 5*t(b). Let g(v) = 9*v**2. Calculate z(g(l)). 45*l**2 Let m(q) = 36*q. Let v(h) = 2*h. Calculate v(m(y)). 72*y Let z(b) = b**2. Suppose -p - l + 0 = -1, 2*p - 5*l = -5. Let v(d) = 3*d**2 + p*d**2 - d**2 - d**2. Determine v(z(m)). m**4 Let n(f) = -21*f + 1. Let p(u) = 1. Let z(j) = -2*n(j) + 2*p(j). Let h(m) = 2*m**2. What is z(h(d))? 84*d**2 Let c(t) be the third derivative of 1/12*t**4 + 0*t**3 + 0 + 0*t + 2*t**2. Let y(u) = -2*u + u - u. What is c(y(b))? -4*b Let d(c) = -c**2 - 22*c. Let r(x) = -2*x + 24. Calculate r(d(l)). 2*l**2 + 44*l + 24 Let x(c) = -c - 331. Let u(m) = -5*m. Determine u(x(n)). 5*n + 1655 Let b(w) = -4*w**2. Let y be (-3 + 2 + -1)*-1. Let t(s) = -4*s + 0*s - y*s. Give t(b(c)). 24*c**2 Let x(b) = b**2. Let v(n) = 423*n. What is v(x(r))? 423*r**2 Let v(d) = -53 + 53 - d**2. Let w(t) = -3*t**2. Give v(w(q)). -9*q**4 Let d(j) = -8*j. Let a(w) be the first derivative of -7*w**3/3 + 42. Calculate a(d(u)). -448*u**2 Let u(v) = -4*v + 3. Let n(f) = f - 2*f - 143 + 144. Let k(y) = -3*n(y) + u(y). Let r(c) = -2*c. Calculate k(r(j)). 2*j Let b(s) = -2*s**2. Let z(n) = -25*n + 68*n - 31*n. Determine b(z(m)). -288*m**2 Let j(u) = 360*u. Let g(p) = -2*p. Determine g(j(f)). -720*f Let z(g) = 6*g. Let x(a) = a + 1. Let r(f) = -3*f - 4. Let j(o) = -r(o) - 4*x(o). Let w(t) = -5*j(t) - z(t). Let u(c) = -13*c**2. Determine u(w(l)). -13*l**2 Let t(p) = -89*p**2. Let q(z) =
{ "pile_set_name": "DM Mathematics" }
et t(c) = -225*c - 15. Let v(l) = -32*l - 2. Let h(z) = -2*t(z) + 15*v(z). What are the prime factors of h(-1)? 2, 3, 5 Let b be ((-8)/6)/((-4)/(-18)). Let a = 14 + b. List the prime factors of a. 2 List the prime factors of 27/(-2)*32/(-24). 2, 3 Suppose 35 = s - 1. Suppose -k - 23 = -4*i, 4*i - 22 - 4 = 2*k. Suppose 0 = -5*c + 3*w + w + 45, -4*c + i*w + s = 0. What are the prime factors of c? 3 Suppose -2*t = 1 + 7. Let l = t + 11. List the prime factors of l. 7 Let h = -25 - -51. What are the prime factors of h? 2, 13 Let h(x) = x + 5. Let m be h(-3). Suppose -c + 2 = -3*p, -c = -6*c - 2*p + 10. Suppose -m*u + c = -2*j - 0*u, -u = -3. List the prime factors of j. 2 Let k(m) = -m**3 - 9*m**2 - 7. What are the prime factors of k(-10)? 3, 31 Let y(x) = -x**3 + 8*x**2 + 2*x - 2. Suppose -4*d + 29 + 3 = 0. What are the prime factors of y(d)? 2, 7 Let v be (-32)/2 - (-3)/3. Let t = -40 + 9. Let u = v - t. List the prime factors of u. 2 Suppose 3*i - 36 = 4*j - 165, -165 = -5*j + 5*i. What are the prime factors of j? 2, 3, 5 Suppose -6*w + 226 = -122. What are the prime factors of w? 2, 29 Let q = 6 + -2. Suppose 0 = -q*d + b + 36, -2*d + 46 = 3*d - b. List the prime factors of d. 2, 5 Let p be (-1)/4 + (-6)/8. Let n(i) = -14*i**3 - 2*i**2 - i. Let v be n(p). Let r = 27 - v. What are the prime factors of r? 2, 7 Let z(o) = 99*o - 21. List the prime factors of z(4). 3, 5 Suppose 8*a - a = 420. List the prime factors of a. 2, 3, 5 Let t be (9 + 1)/(12/(-18)). Let a = 9 - t. List the prime factors of a. 2, 3 Let q be (24/(-20))/((-4)/10). Suppose 0 = y - q - 0. List the prime factors of y. 3 Let h(n) = n**2 + 4*n. Let w be h(-4). Let q be (-1 + w - 2) + -2. What are the prime factors of q/(-5)*(-48)/(-2)? 2, 3 Suppose -m + 0*m - 7 = 0. List the prime factors of 1 + 1 - (m - 1). 2, 5 Let l(b) = b**3 + 5*b**2 + 3*b. Let f = -13 + 9. Let d be l(f). What are the prime factors of (3/(-5))/(d/(-60))? 3 Let t(z) = z**3 - z**2 + 2*z. Suppose 3*c + 8 = 5*c, b + 4*c = 21. Suppose 2*x = -b*s + s, -x = -2*s - 4. What are the prime factors of t(x)? 2 Let j(q) = -q**3 + q**2 + 1. Let p(h) = 5*h**3 + 2*h - 8. Let o(k) = -4*j(k) - p(k). What are the prime factors of o(-4)? 2, 3 Suppose -c + 4 = -5*c. Let y be -1 + (-15 - -2) + 2. What are the prime factors of ((-1)/(-2))/(c/y)? 2, 3 Let u(w) = -w**2 + 12*w - 14. Let i be u(10). Suppose i*t - 65 = t. List the prime factors of t. 13 Let k = -272 + 517. What are the prime factors of k? 5, 7 Let u = 9 - 10. What are the prime factors of (1 + 0)*(-12)/u? 2, 3 Let j(z) = z. Let t be j(4). What are the prime factors of 3 - 0 - t*-1? 7 Let d be (9/2)/(6/(-8)). List the prime factors of 9 + -6*3/d. 2, 3 List the prime factors of 1 + (104 - (-4)/2). 107 Suppose -w + 0*w = -2. Suppose w*q - p - 13 = 0, -3*p + 17 = 3*q + 2. List the prime factors of q. 2, 3 Suppose d = -g + 27, 0 = 5*d - 2*g - 2*g - 126. List the prime factors of d. 2, 13 Let c = 156 + -86. List the prime factors of c. 2, 5, 7 Suppose -20 - 28 = 2*g. Let d(i) = -i**3 + 7*i**2 - 8. Let s be d(7). Let q = s - g. What are the prime factors of q? 2 Suppose 2*w - 20 - 50 = 0. What are the prime factors of w? 5, 7 Let t(w) = w**2 - 14*w + 16. Let d be t(11). Let q = d - -26. List the prime factors of q. 3 Suppose -4*o + 28 = 4*i, 4*i - o - 11 = -i. Suppose 5*d - 3*d = -5*f + 81, 0 = i*d - f - 147. Suppose 3*w = -w + d. List the prime factors of w. 2, 3 Suppose -3*r + 0*r = -15. Suppose r*m - 30 = 10. List the prime factors of m. 2 Suppose 0 = o - 7 - 20. What are the prime factors of o? 3 Suppose -13 + 112 = 3*v. What are the prime factors of v? 3, 11 Suppose 0 = k - 0*k. Suppose k = 2*q + 2*q - 32. List the prime factors of q/(-2)*2/(-4). 2 Suppose 0 = -4*d + h - 51 + 384, -313 = -4*d - 3*h. Let q = -44 + d. What are the prime factors of q? 2, 19 Let o(f) = 2*f - 8. Let b be 63/14*2/1. List the prime factors of o(b). 2, 5 What are the prime factors of (-110)/6*(-5 + -4)? 3, 5, 11 Let f(o) = o**2 - 2*o + 4. Let u be f(4). Suppose 20 = -3*m + 2*m + 4*l, -m - u = 4*l. Let w = -10 - m. List the prime factors of w. 2, 3 Suppose 0 = -2*g + 6*g. Suppose g = -f - 3*f - h + 97, 4*f + 4*h - 100 = 0. What are the prime factors of f? 2, 3 Suppose -4*f - 8 = -6*f, -r - 3*f + 40 = 0. List the prime factors of r. 2, 7 Let q be (-50)/5*((-7)/(-2) + -3). Let h(s) = 8*s**2. Let f be h(-1). Let n = f + q. List the prime factors of n. 3 Let a = 2 - 3. Let x be 24 - -2 - (0 - a). Let o = -14 + x. What are the prime factors of o? 11 Let h(l) = -2*l + 4. What are the prime factors of h(-3)? 2, 5 Let k(o) = 51*o. List the prime factors of k(1). 3, 17 Let d(i) = i**2 - 3*i + 3. Let v be d(2). Let o = 24 + v. What are the prime factors of o? 5 Let t(a) = -a**3 - 8*a**2 - a - 4. Let n(l) = 3*l**2 - l - 4. Let z be n(4). Suppose -6*h = -h + z. List the prime factors of t(h). 2 Let k = -33 - -49. List the prime factors of k. 2 Let w(z) = 2*z. What are the prime factors of w(3)? 2, 3 Let w(v) = 7*v - 6. What are the prime factors of w(17)? 113 Suppose -3*q + v = -7*q - 52, 0 = -5*q - 4*v - 76. Let z(s) = -s**2 - 11*s + 15. Let i be z(q). Suppose 3 = -i*l + 21. List the prime factors of l. 2, 3 Let f(u) = -u**2 + 5*u + 4. Let m be f(5). Suppose -r = -4*j + 11, -7*r + 3*r + m = -4*j. What are the prime factors of j? 2 Let m(f) = f + 6. Let r be m(5). Suppose y - r = -0*y. Let t = -7 + y. What are the prime factors of t? 2 Let h = 6 - 2. Suppose 3 = q - h. What are the prime factors of q? 7 Suppose 0 = -2*y + 5*x + 35, -2 = -3*y + 3*x + 37. Let f(m) = m**2 + 5*m - 1. Let t be f(-6). Suppose 25 = t*d + y. List the prime factors of d. 3 Suppose 14 = -0*a - 2*a - 4*b, 0 = 2*a + b + 2. Let m be a + 0 + 2/1. Suppose c + m - 15 = 0. List the prime factors of c. 2, 3 Let k(c) = -c**2 + c + 7. Let q be k(6). What are the prime factors of (-4 - -6)/((-2)/q)? 23 Suppose 5*m = 155 + 250. List the prime factors of m. 3 Let a(z) = -21*z - 1. Let c be a(3). List the prime factors of 3/(-1) + c/(-2). 29 Let d(a) = -a**3 - 3*a**2 + 2*a + 4. Let t be -2 + -2*2 + 2. Let f be d(t). What are the prime factors of 3/f + (-38)/(-8)? 5 What are the prime factors of 10/(1 + (-36)/40)? 2, 5 What are the prime factors of (49 + -1)*2/4? 2, 3 Suppose -7*v + 2018 = 121. What are the prime factors of v? 271 Let p be -4*(4 - 36/8). Suppose -3*o + 8 = -g, 0 = -5*g - 0*o - o + 40. Suppose -p*x + 17 = g. List the prime factors of x. 5 Let v = -18 - -23. Suppose -v*y = -w - 18 - 56, 2 = -y - 4*w. List the prime factors of y. 2, 7 List the prime factors of (-592)/12*(-2 + 2/4). 2, 37 List the prime factors of (-630)/(-81) + 4/18. 2 Let z(y) = -2*y**3 - y**2 - 2*y - 1. Let l be (-2)/1 - 1*-1. Let h be z(l). Suppose h*j = j + 2. List the prime factors of j. 2 Suppose d - 2*x - x = 77, -d + 67 = 2*x. List the prime factors of d. 71 Let s = -14 - -18. Suppose s = -x, -x = 2*k - 4*k + 66. What are the prime factors of k? 31 Let i(x) = x**2 - 6*x + 6. List the prime factors of i(6). 2, 3 Let l = 12 - 10. Suppose -l*q + 43 = -3. What are the prime factors of q? 23 Suppose 0 = 3*n - 0*n - 30. Suppose 12*m - n*m - 78 = 0. List the prime factors of m. 3, 13 Let s(j) = -2*j + 35. List the prime factors of s(11). 13 Let y be 146/4 + (-9)/18. Let h = 70 - y. List the prime factors of h. 2, 17 Let l = 11 + -7. Suppose 0 = -l*i + 74 + 10. Suppose -2*f + i = -1. List the prime factors of f. 11 Let w = 5 + -1. Suppose -3*r + h = -w*r, -5*h = -4*r. Suppose r = -0*n - 2*n + 12. List the prime factors of n. 2, 3 Let n = -2 - -3. Let g = -2 + n. Let l = 4 + g. List the prime factors of l. 3 Suppose 644 = 4*i + 4*x, -4*i = -6*x + x - 662. List the prime factors of i. 163 Let u = -208 - -219. What are the prime factors of u? 11 Let i = 13 - 22. List the prime factors of (5 + i)*(-10)/4. 2, 5 Suppose -3*l + 2 + 7 = 0. Suppose -l*p + 3 = -6. List the prime factors of p. 3 Let a(b) = -4 - 5*b - b + 3. Let h be a(-1). Suppose -78 + 23 = -5*m - h*v, 5*m - 27 = 2*v. What are the prime factors of m? 7 Suppose 3*z = -0*y + 3*y, -4*y + 2*z = 0. Suppose -3*b + 2*b + 5 = y. What are the prime factors of b? 5 Suppose -124 = -6*z + 2*z - 3*v, 3*v = 5*z - 128. Suppose 0*y + z = 2*y. Suppose 0 = -4*u - y + 66. What are the prime factors of u? 13 Suppose 0 = d + 3*v -
{ "pile_set_name": "DM Mathematics" }
ut 0.05 * 60. 3 -0.17 * -98 16.66 -1.046 * 15 -15.69 Work out 100 * 0.01. 1 Work out 2.6 * 403. 1047.8 Multiply 18 and 0.29. 5.22 5834 times 0.4 2333.6 -0.035 times -0.5 0.0175 0.49*-0.194 -0.09506 -5 * -0.209 1.045 Work out -0.22 * 3.35. -0.737 Multiply 1 and -0.13. -0.13 Calculate 0.4*0.4642. 0.18568 What is the product of 0.004 and 34? 0.136 What is the product of 5749 and 4? 22996 0.5 * -1.41 -0.705 Calculate 40*-0.6. -24 Calculate -0.0591*-0.1. 0.00591 -0.1369 times 0.2 -0.02738 Multiply 0.3 and -1. -0.3 What is the product of 0.4 and 3263? 1305.2 What is the product of -0.3 and -9.4? 2.82 Multiply -15.441 and -5. 77.205 Product of 149 and -0.1. -14.9 What is 2.6 times -22? -57.2 Calculate 0.1*-465. -46.5 Calculate 0.037*0.17. 0.00629 0*-94 0 What is the product of -12 and -9? 108 -55 times -7.5 412.5 -0.282*0.27 -0.07614 Work out 16 * -0.044. -0.704 Product of -0.3 and 0.33. -0.099 -0.024*-0.504 0.012096 Work out -484 * -0.5. 242 What is the product of -42 and 68? -2856 0.4 times 0.39 0.156 What is -0.4 times 6.2? -2.48 What is the product of -1 and -774? 774 13.57*2 27.14 Product of 0.1 and 73. 7.3 Calculate 0.31*9. 2.79 -9*0.5 -4.5 15491 * -0.2 -3098.2 Multiply 19 and -0.6. -11.4 1.5 * -8 -12 Multiply -0.3 and 0.477. -0.1431 -0.01524 * -0.3 0.004572 Product of -42 and -162. 6804 What is the product of -1603 and -0.4? 641.2 Multiply 5 and 54.3. 271.5 0.03 * 2916 87.48 -4*-1468 5872 What is 4 times 8.31? 33.24 -1 times -1374 1374 -3.35*-0.1 0.335 Calculate -0.0812*0.6. -0.04872 What is -0.1 times 157.4? -15.74 What is the product of 3 and 0.4? 1.2 Calculate 0.027*-23. -0.621 Multiply -0.6 and -6. 3.6 Work out -1 * 30.26. -30.26 What is the product of -52871 and -5? 264355 Work out 1.64 * -2. -3.28 Calculate 1*-1.859. -1.859 Work out -155.7 * -1. 155.7 Multiply 383 and -1.4. -536.2 -7070 * 0.2 -1414 0.199 times 10 1.99 -0.004 times -0.6 0.0024 Product of -2 and -387. 774 Product of -16 and -0.125. 2 -0.5 * -2.641 1.3205 Product of 5 and 790. 3950 What is 1.43 times -0.08? -0.1144 -31*0.7 -21.7 What is the product of 0.18978 and -4? -0.75912 -0.4*-29.3 11.72 Multiply 8.51 and 14. 119.14 What is the product of -8 and 47? -376 -48.8*1.1 -53.68 What is -0.926 times -1? 0.926 -0.706 * -0.5 0.353 Product of 6.7 and 0.38. 2.546 Work out 33 * -1. -33 Calculate 3*-5. -15 -8.9 times -3 26.7 What is the product of 968 and -4? -3872 -3 * 0.0639 -0.1917 Product of 4 and 57.63. 230.52 Product of -0.071 and -0.154. 0.010934 230 times -0.016 -3.68 -6*-0.0469 0.2814 -0.02*0.2 -0.004 -5*-6.11 30.55 Product of -0.4 and 66. -26.4 What is 28 times 0.1? 2.8 Multiply -0.1 and -5.94. 0.594 What is the product of 18 and -2.6? -46.8 What is -38 times 0.6? -22.8 2 times 19 38 What is the product of -279 and 0? 0 What is the product of -0.5773 and 5? -2.8865 What is the product of -0.2 and 680? -136 Calculate -0.07*-326. 22.82 -1*3.7 -3.7 What is 1 times 0.75? 0.75 What is -3 times -34? 102 What is -38 times -2? 76 Work out 2.6 * -3. -7.8 What is 2.6 times 0.06? 0.156 Product of 3 and -1.04. -3.12 What is 1 times -0.061? -0.061 -6.92 * -2 13.84 Calculate -86*-0.4. 34.4 -126 times 6 -756 0 times -0.756 0 What is the product of -1.5 and 0.3? -0.45 -58*6 -348 Calculate 1*-100. -100 Work out -4.7 * 0.6. -2.82 What is -5 times 108? -540 -0.5 * -411.8 205.9 Product of 0.4 and -20.7. -8.28 529 * 0.5 264.5 -0.05 times -241 12.05 What is the product of 146 and -0.3? -43.8 -0.1*-372 37.2 What is the product of -0.43 and 0.4? -0.172 -0.34 * -5 1.7 Multiply -2 and -0.057. 0.114 1.01*1 1.01 0.28 * -2.4 -0.672 Calculate -20*-0.9. 18 Work out -1 * 0.04055. -0.04055 Product of 6 and 73. 438 Product of -7 and 52.4. -366.8 Work out -0.2 * 0.0105. -0.0021 What is the product of -0.5 and 178? -89 1 * -27 -27 Work out 6994 * -0.2. -1398.8 What is the product of -668 and 0.1? -66.8 -6 times 0.075 -0.45 270*0.06 16.2 5*-2.82 -14.1 What is 0.3 times -0.1823? -0.05469 What is the product of -4.473 and 0.2? -0.8946 What is the product of 0 and 7116? 0 1.1 * 6 6.6 What is the product of 402 and -0.2? -80.4 71 * -0.04 -2.84 What is the product of 222 and 8? 1776 Product of -2 and -0.367. 0.734 -0.511 * -0.3 0.1533 20 * 0.31 6.2 Multiply -7 and 0.58. -4.06 Calculate -1.341*-1.4. 1.8774 What is the product of 0.08 and 10.5? 0.84 Work out -233 * 3.5. -815.5 Calculate 71472*-0.2. -14294.4 What is 0.4 times 244? 97.6 0.084*-2 -0.168 Calculate 5.117*0.3. 1.5351 -5*4.7 -23.5 What is 40 times -31? -1240 9 * 0.3 2.7 Product of -0.022 and 18.9. -0.4158 What is -0.3 times 25.5? -7.65 Work out 5 * 2771. 13855 -1*29 -29 What is 78 times -4? -312 What is -2.56 times 2? -5.12 -0.3 * -5 1.5 Calculate -1*0.03. -0.03 What is the product of -2.95 and -5? 14.75 3 times 3 9 Product of 142 and -0.1. -14.2 Product of 0.07 and -0.2. -0.014 0.45 times -65 -29.25 What is the product of -0.4 and -1.1? 0.44 -0.34*0.02 -0.0068 Product of 253 and -3. -759 0.4*-3081 -1232.4 Calculate 0.176*0.7. 0.1232 -905 * -4 3620 What is -2455 times -0.02? 49.1 Work out -331 * -10. 3310 Product of -29 and -33. 957 Work out 57 * -0.3. -17.1 Multiply -583 and -0.4. 233.2 What is 0.2 times 34.83? 6.966 What is the product of -85 and 0? 0 What is 3 times -0.058? -0.174 Product of 108 and -7. -756 Multiply -12829 and -5. 64145 5 times 5.55 27.75 Multiply 1 and 117. 117 Product of 5339 and -4. -21356 -0.2*336 -67.2 -0.7 * 0.0206 -0.01442 What is 0.4 times 32? 12.8 Work out 1 * -7.1. -7.1 Calculate -1*0.0306. -0.0306 What is -1 times -413? 413 0.022*-0.5 -0.011 21.41 * 2 42.82 What is 21 times -39? -819 0.07 times 19 1.33 Work out -66 * -0.12. 7.92 -0.025*48 -1.2 Product of 0 and 3.215. 0 -0.2 times -3169 633.8 Multiply 0.084 and 5.4. 0.4536 134 * 143 19162 0.3 * -3083 -924.9 Work out 0.266 * 4.1. 1.0906 Work out -0.008 * 0.07. -0.00056 121*0.44 53.24 Product of 1858 and 5. 9290 What is 5 times -18.3? -91.5 Calculate 5*0.39. 1.95 What is -284 times 0.2? -56.8 47 times 0.9 42.3 Product of 820 and -0.06. -49.2 0.4 * -52 -20.8 Multiply 10 and -0.06. -0.6 Multiply -3 and -0.198. 0.594 0.22*-347 -76.34 What is the product of 0.5 and -675? -337.5 Calculate -16998*0.5. -8499 Product of 0.07 and -0.682. -0.04774 Work out 0.425 * 5. 2.125 5 * -7.89 -39.45 What is the product of 2335 and 0.05? 116.75 Product of -0.5 and 0.0225. -0.01125 Calculate -1*45. -45 What is 532 times -0.5? -266 -0.3*-0.0955 0.02865 Work out 131 * -18. -2358 0.03 * -10 -0.3 What is the product of 0 and 2.69? 0 -6 * -0.05 0.3 30*-133 -3990 What is the product of -0.12 and -633? 75.96 Multiply -2 and 389. -778 -1 * -115 115 Multiply -0.058 and 311. -18.038 Multiply -532 and -0.1. 53.2 Calculate 0.37*6. 2.22 What is -0.3 times 0.0475? -0.01425 Product of -0.27 and -3.6. 0.972 -5.2 times -1 5.2 Calculate -2.5*0.08. -0.2 Calculate -1.65*-20. 33 Product of -2 and -372. 744 Work out 0.158 * 0.21. 0.03318 -0.2 times 0.11 -0.022 Multiply -0.04 and -94. 3.76 -2834*0.5 -1417 Calculate 1.2*0.22. 0.264 0 * 12.3 0 Calculate 91*0.1. 9.1 Calculate 0.082*0. 0 1*26.4 26.4 0.05 times 764 38.2 Calculate -99*0.4. -39.6 Work out 0.36 * 92. 33.12 -0.5 * 3.193 -1.5965 Product of -0.15 and 15. -2.25 19 * -1 -19 -82 times 22 -1804 -5 * 2.989 -14.945 What is the product of -0.2 and -2.617? 0.5234 Work out 7.91 * -0.16. -1.2656 Calculate 0.283*14. 3.962 Product of -11 and 12. -132 Product of 76 and -0.3. -22.8 Multiply 0.04 and 0.0459. 0.001836 -176 times 16 -2816 -0.131*-5 0.655 0.113 * 3.5 0.3955 Work out 0.2 * 182. 36.4 Calculate 5.79*2. 11.58 Product of -4 and 12. -48 Product of -510.1 and -0.1. 51.01 Calculate -5*843. -4215 Product of -1.3 and -7. 9.1 1*17.87 17.87 Work out -6 * 99. -594 What is the product of -6 and -206? 1236 What is 71 times -34? -2414 Product of -0.0753 and 0.2. -0.01506 What is the product of -2 and 15.3? -30.6 What is the product of 0.04 and 2400? 96 -0.1235 * -0.5 0.06175 What is the product of 39.8 and -0.5? -19.9 -32 * -0.33 10.56 -71.48 * 1 -71.48 33 * -0.09 -2.97 What is -4.089 times 0.3? -1.2267 What is the product of -2 and 5078? -10156 What is the product of -367 and 2? -734 Work out 6125 * 0.1. 612.5 What is the product of 62 and 2? 124 Multiply -0.043 and 63. -2.709 Multiply -22 and -86. 1892 4 times 22.1 88.4 Multiply 2 and 135. 270 Product of -0.2 and 154. -30.8 M
{ "pile_set_name": "DM Mathematics" }
factors of 2283. 3, 761 What are the prime factors of 41651? 41651 What are the prime factors of 167247? 3, 18583 List the prime factors of 9601. 9601 What are the prime factors of 1065? 3, 5, 71 List the prime factors of 22765. 5, 29, 157 What are the prime factors of 7932? 2, 3, 661 List the prime factors of 5297. 5297 What are the prime factors of 3862? 2, 1931 List the prime factors of 288. 2, 3 What are the prime factors of 454? 2, 227 What are the prime factors of 19921? 11, 1811 List the prime factors of 7083. 3, 787 List the prime factors of 10351. 11, 941 List the prime factors of 5026. 2, 7, 359 What are the prime factors of 7055? 5, 17, 83 What are the prime factors of 20003? 83, 241 List the prime factors of 10397. 37, 281 What are the prime factors of 12955? 5, 2591 What are the prime factors of 1952? 2, 61 List the prime factors of 463. 463 What are the prime factors of 8402? 2, 4201 List the prime factors of 124908. 2, 3, 7, 1487 What are the prime factors of 909? 3, 101 List the prime factors of 1769. 29, 61 What are the prime factors of 4523? 4523 List the prime factors of 57. 3, 19 List the prime factors of 2932. 2, 733 List the prime factors of 14292. 2, 3, 397 List the prime factors of 18296. 2, 2287 List the prime factors of 277. 277 List the prime factors of 1688. 2, 211 List the prime factors of 55357. 197, 281 List the prime factors of 182148. 2, 3, 43, 353 What are the prime factors of 59133? 3, 23, 857 List the prime factors of 72198. 2, 3, 7, 191 List the prime factors of 50732. 2, 11, 1153 What are the prime factors of 804? 2, 3, 67 What are the prime factors of 3424? 2, 107 What are the prime factors of 170? 2, 5, 17 What are the prime factors of 19813? 19813 List the prime factors of 9779. 7, 11, 127 What are the prime factors of 54183? 3, 18061 List the prime factors of 7885. 5, 19, 83 What are the prime factors of 3237? 3, 13, 83 What are the prime factors of 2899? 13, 223 What are the prime factors of 2961? 3, 7, 47 What are the prime factors of 1530? 2, 3, 5, 17 List the prime factors of 85736. 2, 7, 1531 List the prime factors of 1717. 17, 101 What are the prime factors of 29881? 29881 What are the prime factors of 1170? 2, 3, 5, 13 What are the prime factors of 2698? 2, 19, 71 List the prime factors of 27637. 29, 953 What are the prime factors of 5261? 5261 List the prime factors of 19159. 7, 17, 23 What are the prime factors of 236? 2, 59 List the prime factors of 123514. 2, 61757 What are the prime factors of 9606? 2, 3, 1601 List the prime factors of 39165. 3, 5, 7, 373 What are the prime factors of 292? 2, 73 What are the prime factors of 37504? 2, 293 What are the prime factors of 9005? 5, 1801 List the prime factors of 1256. 2, 157 What are the prime factors of 4594? 2, 2297 What are the prime factors of 494? 2, 13, 19 What are the prime factors of 1659? 3, 7, 79 What are the prime factors of 177480? 2, 3, 5, 17, 29 List the prime factors of 8735. 5, 1747 List the prime factors of 489. 3, 163 List the prime factors of 4925. 5, 197 What are the prime factors of 980? 2, 5, 7 What are the prime factors of 14212? 2, 11, 17, 19 List the prime factors of 63614. 2, 17, 1871 List the prime factors of 2341. 2341 List the prime factors of 356. 2, 89 What are the prime factors of 23476? 2, 5869 List the prime factors of 24559. 41, 599 What are the prime factors of 11574? 2, 3, 643 What are the prime factors of 15524? 2, 3881 List the prime factors of 3495. 3, 5, 233 What are the prime factors of 3454? 2, 11, 157 What are the prime factors of 36036? 2, 3, 7, 11, 13 List the prime factors of 29842. 2, 43, 347 List the prime factors of 4513. 4513 List the prime factors of 5829. 3, 29, 67 What are the prime factors of 526? 2, 263 List the prime factors of 4572. 2, 3, 127 List the prime factors of 1834. 2, 7, 131 List the prime factors of 1367. 1367 List the prime factors of 11914. 2, 7, 23, 37 What are the prime factors of 3328? 2, 13 List the prime factors of 57023. 127, 449 List the prime factors of 4292. 2, 29, 37 List the prime factors of 68670. 2, 3, 5, 7, 109 What are the prime factors of 39434? 2, 19717 List the prime factors of 1353. 3, 11, 41 List the prime factors of 1702. 2, 23, 37 List the prime factors of 9890. 2, 5, 23, 43 What are the prime factors of 14404? 2, 13, 277 List the prime factors of 2794. 2, 11, 127 What are the prime factors of 41600? 2, 5, 13 What are the prime factors of 5320? 2, 5, 7, 19 What are the prime factors of 43756? 2, 10939 What are the prime factors of 40385? 5, 41, 197 What are the prime factors of 1562? 2, 11, 71 What are the prime factors of 628? 2, 157 List the prime factors of 1419. 3, 11, 43 What are the prime factors of 1332? 2, 3, 37 List the prime factors of 4098. 2, 3, 683 List the prime factors of 5070. 2, 3, 5, 13 List the prime factors of 15874. 2, 7937 List the prime factors of 1887. 3, 17, 37 List the prime factors of 13995. 3, 5, 311 List the prime factors of 9821. 7, 23, 61 List the prime factors of 6230. 2, 5, 7, 89 List the prime factors of 918. 2, 3, 17 What are the prime factors of 3055? 5, 13, 47 List the prime factors of 5556. 2, 3, 463 List the prime factors of 14348. 2, 17, 211 List the prime factors of 1201. 1201 List the prime factors of 1414. 2, 7, 101 List the prime factors of 27204. 2, 3, 2267 What are the prime factors of 313? 313 List the prime factors of 9869. 71, 139 List the prime factors of 395. 5, 79 What are the prime factors of 1771? 7, 11, 23 List the prime factors of 777. 3, 7, 37 List the prime factors of 1916. 2, 479 What are the prime factors of 173716? 2, 137, 317 List the prime factors of 71023. 71023 What are the prime factors of 2694? 2, 3, 449 List the prime factors of 1993. 1993 What are the prime factors of 20965? 5, 7, 599 List the prime factors of 3672. 2, 3, 17 List the prime factors of 253. 11, 23 List the prime factors of 11315. 5, 31, 73 What are the prime factors of 79950? 2, 3, 5, 13, 41 What are the prime factors of 5164? 2, 1291 List the prime factors of 25555. 5, 19, 269 List the prime factors of 1371. 3, 457 What are the prime factors of 34038? 2, 3, 31, 61 List the prime factors of 20443. 20443 What are the prime factors of 51? 3, 17 What are the prime factors of 500? 2, 5 List the prime factors of 75795. 3, 5, 31, 163 List the prime factors of 1432. 2, 179 What are the prime factors of 3646? 2, 1823 What are the prime factors of 5990? 2, 5, 599 What are the prime factors of 1170? 2, 3, 5, 13 List the prime factors of 37998. 2, 3, 2111 List the prime factors of 531. 3, 59 What are the prime factors of 13629? 3, 7, 11, 59 What are the prime factors of 3304? 2, 7, 59 What are the prime factors of 40937? 13, 47, 67 List the prime factors of 2454. 2, 3, 409 What are the prime factors of 1746? 2, 3, 97 List the prime factors of 5940. 2, 3, 5, 11 What are the prime factors of 18540? 2, 3, 5, 103 What are the prime factors of 14080? 2, 5, 11 What are the prime factors of 531? 3, 59 List the prime factors of 3072. 2, 3 What are the prime factors of 15040? 2, 5, 47 List the prime factors of 443. 443 List the prime factors of 97702. 2, 11, 4441 List the prime factors of 64424. 2, 8053 List the prime factors of 765. 3, 5, 17 List the prime factors of 936. 2, 3, 13 What are the prime factors of 682? 2, 11, 31 What are the prime factors of 32212? 2, 8053 List the prime factors of 24235. 5, 37, 131 What are the prime factors of 72169? 72169 What are the prime factors of 1106? 2, 7, 79 What are the prime factors of 10939? 10939 What are the prime factors of 8155? 5, 7, 233 What are the prime factors of 13164? 2, 3, 1097 List the prime factors of 19913. 19913 What are the prime factors of 20012? 2, 5003 What are the prime factors of 52686? 2, 3, 2927 List the prime factors of 1655. 5, 331 What are the prime factors of 879? 3, 293 List the prime factors of 932. 2, 233 List the prime factors of 725. 5, 29 What are the prime factors of 383? 383 List the prime factors of 9431. 9431 What are the prime factors of 12328? 2, 23, 67 List the prime factors of 561. 3, 11, 17 What are the prime factors of 11387? 59, 193 What are the prime factors of 869? 11, 79 List the prime factors of 561. 3, 11, 17 What are the prime factors of 1978?
{ "pile_set_name": "DM Mathematics" }
c/(-6). Differentiate -10*a**3 - 2*a**3 + v*a**3 - 12 - 6*a**3 with respect to a. -39*a**2 Let w(b) = -3*b. Let j(r) = 106*r + 9. Let u(o) = j(o) - 4*w(o). What is the derivative of u(d) wrt d? 118 Let r(x) = 3*x**2 - 9*x. Let q(l) = -l**2 + 4*l. Let p be 52/(-12) + (-2)/3. Let k(j) = p*q(j) - 2*r(j). What is the second derivative of k(n) wrt n? -2 Find the third derivative of 2*b - 5*b + 2*b + b + 517*b**2 - 446*b**3 wrt b. -2676 Let j be (0 - -2)*(-12)/(-8). Differentiate 2 - 2*p**4 - 9*p**4 - 6 - j with respect to p. -44*p**3 Suppose i + f = -i + 68, 0 = -2*i - 3*f + 64. Differentiate 7 + 84*q**4 - i*q**4 - 20 wrt q. 196*q**3 Let w(r) be the second derivative of -11*r**6/720 - 2*r**5/15 - 7*r**4/4 - r. Let s(b) be the third derivative of w(b). What is the derivative of s(v) wrt v? -11 Let d(o) be the third derivative of 17*o**2 + 5/3*o**3 + 0*o - 1/15*o**5 + 0 + 0*o**4. What is the first derivative of d(r) wrt r? -8*r Suppose 5*u - 2 = 8. Differentiate 4*g**4 - 12*g**4 + 4 + u wrt g. -32*g**3 Let j(p) be the third derivative of -p**6/5 - 5*p**3/3 + 3*p**2 - 22. Differentiate j(u) with respect to u. -72*u**2 Let g(b) be the third derivative of -91*b**5/30 + b**4/24 + 8*b**3/3 + 123*b**2. Find the second derivative of g(q) wrt q. -364 Let l(u) be the first derivative of -u**5/5 - 8*u**3 + 3*u**2 - u - 55. What is the second derivative of l(o) wrt o? -12*o**2 - 48 Let a(p) = -2*p**3 - 2*p**2 + 2*p + 1. Let f(r) = 15*r**3 - 28*r**2 - 14*r - 201. Let s(v) = -6*a(v) - f(v). Find the second derivative of s(m) wrt m. -18*m + 80 Let t(g) = g**2 - 11*g - 9. Let k be 74/6 + 3/(-9). Let a be t(k). Find the second derivative of 3*n**3 - 14*n + 11*n + n**a wrt n. 24*n Suppose -2*q = 5*o - 10, 3*o + 2*o = -3*q + 15. Suppose 4*c - 2*f - 3 = -f, -q*f = 5*c - 35. Find the third derivative of -5*s**5 - 4 + 6*s**c + 4 wrt s. -300*s**2 Let y(r) = -33*r - 52. Let f(s) = -49*s - 76 + 149 - 151. Let d(g) = -5*f(g) + 8*y(g). Differentiate d(o) with respect to o. -19 Let m(f) be the second derivative of 3*f**6/10 + f**4/12 + 13*f**2/2 - 25*f. Differentiate m(h) wrt h. 36*h**3 + 2*h Suppose -2*k - 184 = -198. Let n(d) be the third derivative of -k*d**2 + 0 - 4/3*d**3 - 11/24*d**4 + 0*d. Find the first derivative of n(i) wrt i. -11 Let f = -30 + 19. Let w(s) = s + 13. Let n be w(f). Differentiate -p**4 + 2*p**4 - n + 3*p**4 wrt p. 16*p**3 Let t = 74 - 72. Differentiate -10*o**t + 83*o - 17 - 83*o wrt o. -20*o Let c(q) be the second derivative of 295*q**4/12 - 23*q**3/6 + 7*q**2/2 + 292*q. Find the second derivative of c(u) wrt u. 590 Let k(j) be the third derivative of 119*j**6/120 - 17*j**5/30 + j**4/12 - 2*j**2 + 28*j. Find the third derivative of k(c) wrt c. 714 Let f be -2*11*(5 + -4). Let x be 6/(-4)*f/3. What is the first derivative of -x*d + 2*d + 9*d - 8 + 8*d wrt d? 8 Let c = 34 - 31. Find the second derivative of 4*x**c - 43*x + 17*x - x wrt x. 24*x Let w(z) = 6*z**3 + 85*z**2 - 6*z. Let b(x) = 7*x**3 + 86*x**2 - 5*x. Let y(a) = 6*b(a) - 5*w(a). Find the third derivative of y(f) wrt f. 72 Let g(w) be the first derivative of -476*w**5/5 + 106*w**3/3 - 4*w - 260. Find the third derivative of g(m) wrt m. -11424*m Let m(p) = p**4 - p**3 + 1. Let x(i) = -9 - 27*i**4 + 0*i**3 + 2*i**3 - 31. Let g(b) = -2*m(b) - x(b). Differentiate g(n) wrt n. 100*n**3 Find the second derivative of 16*v + 16*v + v - 49*v**3 + 131*v**3 wrt v. 492*v Let l = -17 + 7. Let f = 13 + l. Differentiate -f*w**3 + 0 - 2 + 1 wrt w. -9*w**2 What is the derivative of 5*z**2 + 19752 - 20213 - z + z + 15*z**4 wrt z? 60*z**3 + 10*z Let t(n) = -2. Let b(w) = 808*w**2 - 349*w + 6. Let p(f) = b(f) + 3*t(f). What is the second derivative of p(y) wrt y? 1616 Let k(f) be the second derivative of -6*f**5/5 + 63*f**4/4 + 2*f + 9. What is the third derivative of k(p) wrt p? -144 Let u(s) = -65*s**4 + 3*s**2 - 11*s - 24. Let g(r) = 63*r**4 - 3*r**2 + 10*r + 24. Let t(v) = 5*g(v) + 4*u(v). What is the second derivative of t(l) wrt l? 660*l**2 - 6 Let k(r) be the first derivative of 5*r**2/2 + r - 2. Let f be k(1). Find the third derivative of 4*w**3 + 8*w**2 + 0*w**3 - f*w**2 - 2*w**3 wrt w. 12 Let i(n) = 537*n**5 + 4*n**4 + 4*n**3 + 4*n + 19. Let s(v) = -v**4 - v**3 - 9*v - 1. Let a(l) = i(l) + 4*s(l). Find the second derivative of a(r) wrt r. 10740*r**3 Let k(i) = -i**3 - i. Let d(o) = -450*o**3 - 5*o - 152. Let b(v) = -d(v) + 4*k(v). Find the second derivative of b(y) wrt y. 2676*y Let g(o) = o**3 + 8*o**2 - 6. Let w be g(-7). Suppose -w - 9 = -4*v. What is the derivative of 5*y**2 + 13*y - v*y + 1 wrt y? 10*y Differentiate 8 + 22*q + 0*q - 17 - 6 with respect to q. 22 Let n be (1*(-6)/(-4))/(3/6). What is the derivative of -47*p**n - 17 + 47*p**3 - 8*p**4 - 11*p**4 wrt p? -76*p**3 Let m(v) be the third derivative of v**6/120 - 7*v**5/120 + 7*v**4/24 + 5*v**2. Let z(s) be the second derivative of m(s). Differentiate z(f) wrt f. 6 Let u(l) be the first derivative of -7/4*l**4 + 0*l - 11/2*l**2 + 0*l**3 + 7. Find the second derivative of u(x) wrt x. -42*x Let p(k) = 11 + 2 + 11 - 4*k - 34*k. Let t(q) = 13*q - 8. Let j be 2 + 5/(20/12). Let o(a) = j*p(a) + 14*t(a). Differentiate o(r) with respect to r. -8 Let t(u) be the second derivative of -41*u**5/4 - 53*u**4/3 - 6*u. What is the third derivative of t(f) wrt f? -1230 Let m(s) be the first derivative of -25*s**5 - 107*s**2/2 - 272. Find the second derivative of m(g) wrt g. -1500*g**2 Let z(i) = 4*i + 6. Let c be z(3). Let b = c + -14. What is the second derivative of 0*a**4 - 2*a**4 + 0*a - 5*a - 5*a**b wrt a? -84*a**2 Let i(o) = 22*o - 16 - 1 - 3 - o**2. Let l be i(21). Differentiate 7*f**2 - 6 + l - f**2 - f**2 wrt f. 10*f Let s(a) = 2*a**2 + 4*a - 3. Suppose -2*c + 5 = 1. Let i be s(c). What is the third derivative of -3*n**2 + 6*n**3 + 6*n**2 - i*n**3 wrt n? -42 Let l(i) be the second derivative of 53*i**6/30 + i**4/12 - 9*i**2 + 134*i. What is the first derivative of l(d) wrt d? 212*d**3 + 2*d Suppose -11*t = 9*t - 3*t. Let d(x) be the first derivative of -1/4*x**4 + 0*x + t*x**3 + 3 + 1/2*x**2. Find the second derivative of d(s) wrt s. -6*s Let j be 34*(-2)/((-4)/1). Find the third derivative of 9*a**2 - j*a**5 + 9*a**2 + 18*a**5 - 7*a**2 wrt a. 60*a**2 Let z(a) = a**4 - a**3 + a**2 - 2*a - 2. Let m(c) = c**3 + 208*c**2 + 2*c - 505. Let h(t) = m(t) + z(t). Differentiate h(r) wrt r. 4*r**3 + 418*r Let q be (5/(-4))/(5/20). Let m(u) = -7*u - 3. Let f(p) = 8*p + 2. Let i(g) = q*f(g) - 4*m(g). What is the derivative of i(o) wrt o? -12 Let t(g) be the second derivative of -g**6/10 - 4*g**3/3 + 219*g**2/2 - 191*g. Find the first derivative of t(n) wrt n. -12*n**3 - 8 Suppose 0 = 12*w - 173 - 79. What is the second derivative of 3*q - 48*q + 18*q - w*q**3 wrt q? -126*q Let d(i) = -223*i + 37. Let b(u) = 1116*u - 186. Let g(m) = 6*b(m) + 31*d(m). Differentiate g(f) with respect to f. -217 Let f(h) = 5*h**4 - 96*h**3 - h**2 - 13*h. Let y(u) = 2*u**4 + 2*u**3 - u**2 - u. Let t(n) = 2*f(n) - 6*y(n). What is the third derivative of t(r) wrt r? -48*r - 1224 Let n(s) be the first derivative of 596*s**3/3 + 356*s + 569. Find the first derivative of n(m) wrt m. 1192*m Suppose -5*j - j = -42. Find the second derivative of 7 - j - 5*l**3 - 5*l - 5*l wrt l. -30*l Let k = -2 - -8. What is the third derivative of -4*r**3 - 2*r**3 + k*r**3 - 18*r**2 - 20*r**4 wrt r? -480*r Suppose 2*p + p + 54 = 0. Let u be 2/4 + p/(-12). What is the third derivative of -3*n**u - n**3 + n**3 + 6*n**6 - 7*n**6 wrt n? -120*n**3 Let l(u) be the first derivative of 11*u**2 - u**2 + 28*u + 2 + 5*u**2. What is the first derivative of l(t) wrt t? 30 Let u(s) be the second derivative of -196*s**6/15 + 282*s**2 + 5*s - 17. Find the first derivative of u(p) wrt p. -1568*p**3 Let m(y) = -y**2 + 1. Let d(f) = 3*f + 18. Let w be d(-5). Let l(u) = -10*u**2 - 2*u + 3. Let v(z) = w*m(z) - l(z). Find the second derivative of v(n) wrt n. 14 Let g be 3 - (4/5)/((-2)/5). Find the third derivative of 12*d**2 + 12*d**2 - 451*d**g + 449*d**5 wrt d. -120*d**2 Suppose -12 = -4*j, -7*j + 4*j + 5 = 4*g. Let d(n) = -17*n. Let y be d(g). Differentiate -3*i**2 + y - 7 - 7 wrt i. -6*i Let i(k) be the third derivative of 0*k**3 - 1/14*k**7 + 0*k + 0*k**6 - 29/24*k**4 + 24*k**2 + 0*k**5 + 0. Find the second derivativ
{ "pile_set_name": "DM Mathematics" }
What is the k'th term of 3911, 7891, 11871, 15851, 19831? 3980*k - 69 What is the f'th term of -637, -1276, -1975, -2764, -3673, -4732? -5*f**3 - 604*f - 28 What is the j'th term of -12476, -12469, -12462, -12455, -12448? 7*j - 12483 What is the h'th term of 11584, 23132, 34680? 11548*h + 36 What is the g'th term of 53, -72, -171, -232, -243, -192? 2*g**3 + g**2 - 142*g + 192 What is the c'th term of 3813, 7614, 11415? 3801*c + 12 What is the c'th term of 137, 311, 499, 701? 7*c**2 + 153*c - 23 What is the l'th term of -188, -111, 2, 145, 312? -l**3 + 24*l**2 + 12*l - 223 What is the c'th term of 254, 1114, 3446, 7988, 15478, 26654, 42254? 123*c**3 - 2*c**2 + 5*c + 128 What is the w'th term of 114, -2, -194, -462? -38*w**2 - 2*w + 154 What is the l'th term of -145460, -290920, -436380, -581840, -727300, -872760? -145460*l What is the j'th term of -12140, -12134, -12128, -12122, -12116? 6*j - 12146 What is the l'th term of -6145, -6093, -6027, -5941, -5829, -5685? l**3 + l**2 + 42*l - 6189 What is the k'th term of -129960, -130129, -130308, -130503, -130720, -130965? -k**3 + k**2 - 165*k - 129795 What is the v'th term of -131, -132, -139, -152? -3*v**2 + 8*v - 136 What is the d'th term of -154, -341, -562, -835, -1178? -3*d**3 + d**2 - 169*d + 17 What is the c'th term of -170, -1520, -5206, -12404, -24290, -42040, -66830? -196*c**3 + 8*c**2 - 2*c + 20 What is the w'th term of 146, 334, 522, 710, 898, 1086? 188*w - 42 What is the k'th term of 6047, 6051, 6059, 6071, 6087, 6107? 2*k**2 - 2*k + 6047 What is the u'th term of 94, 188, 278, 358, 422, 464, 478? -u**3 + 4*u**2 + 89*u + 2 What is the c'th term of -9785, -19575, -29365, -39155? -9790*c + 5 What is the a'th term of 941, 919, 891, 857, 817? -3*a**2 - 13*a + 957 What is the d'th term of -4937, -9831, -14725, -19619? -4894*d - 43 What is the o'th term of -5646, -5602, -5558? 44*o - 5690 What is the k'th term of -2808, -2829, -2860, -2901? -5*k**2 - 6*k - 2797 What is the u'th term of -678, -1378, -2080, -2784, -3490, -4198? -u**2 - 697*u + 20 What is the h'th term of 408, -379, -1166? -787*h + 1195 What is the j'th term of 991, 1967, 2957, 3967, 5003, 6071? j**3 + j**2 + 966*j + 23 What is the s'th term of 714, 2864, 6448, 11466, 17918? 717*s**2 - s - 2 What is the b'th term of 3982, 4017, 4112, 4297, 4602, 5057, 5692? 5*b**3 + 3977 What is the k'th term of 202820, 202822, 202824? 2*k + 202818 What is the b'th term of -7, -33, -119, -295, -591, -1037? -5*b**3 + 9*b - 11 What is the j'th term of -189435, -378868, -568301, -757734, -947167, -1136600? -189433*j - 2 What is the d'th term of 10278, 20612, 30946? 10334*d - 56 What is the y'th term of -375674, -375676, -375678, -375680, -375682? -2*y - 375672 What is the g'th term of -76, -308, -732, -1378, -2276, -3456, -4948, -6782? -5*g**3 - 66*g**2 + g - 6 What is the a'th term of -3, 13, 43, 81, 121, 157, 183? -a**3 + 13*a**2 - 16*a + 1 What is the a'th term of -14530, -29047, -43564, -58081, -72598, -87115? -14517*a - 13 What is the p'th term of -3996, -31997, -107988, -255963, -499916, -863841? -3999*p**3 - p**2 - 5*p + 9 What is the b'th term of -3738, -7484, -11230? -3746*b + 8 What is the i'th term of -533, -2130, -4791, -8516, -13305, -19158, -26075? -532*i**2 - i What is the v'th term of 4274, 4582, 5094, 5810, 6730, 7854? 102*v**2 + 2*v + 4170 What is the k'th term of -1875, -1804, -1665, -1446, -1135? 2*k**3 + 22*k**2 - 9*k - 1890 What is the q'th term of 2669, 2602, 2491, 2336, 2137? -22*q**2 - q + 2692 What is the y'th term of 2095, 1918, 1639, 1270, 823, 310? 2*y**3 - 63*y**2 - 2*y + 2158 What is the d'th term of -4787, -4803, -4819, -4835? -16*d - 4771 What is the x'th term of 3085, 3088, 3091, 3094, 3097? 3*x + 3082 What is the w'th term of 1031, 1071, 1121, 1187, 1275, 1391, 1541? w**3 - w**2 + 36*w + 995 What is the m'th term of -23226, -46453, -69694, -92955, -116242, -139561, -162918, -186319? -m**3 - m**2 - 23217*m - 7 What is the k'th term of 127, 1358, 4787, 11512, 22631, 39242, 62443, 93332? 183*k**3 + k**2 - 53*k - 4 What is the s'th term of 10139, 20287, 30435? 10148*s - 9 What is the n'th term of -41, -278, -699, -1292, -2045? 2*n**3 - 104*n**2 + 61*n What is the j'th term of -13698, -13810, -13926, -14040, -14146, -14238, -14310? j**3 - 8*j**2 - 95*j - 13596 What is the f'th term of -92107, -92143, -92179, -92215, -92251? -36*f - 92071 What is the l'th term of -13434, -13495, -13558, -13623, -13690, -13759? -l**2 - 58*l - 13375 What is the r'th term of -34, -129, -278, -475, -714, -989, -1294, -1623? r**3 - 33*r**2 - 3*r + 1 What is the u'th term of 6530, 6856, 7180, 7502? -u**2 + 329*u + 6202 What is the t'th term of -2003, -4027, -6051, -8075? -2024*t + 21 What is the v'th term of -2631, -2691, -2787, -2925, -3111, -3351, -3651? -v**3 - 12*v**2 - 17*v - 2601 What is the b'th term of -341, -451, -553, -647, -733, -811, -881? 4*b**2 - 122*b - 223 What is the l'th term of -1597, -2036, -2475, -2914, -3353, -3792? -439*l - 1158 What is the m'th term of 271, 617, 935, 1213, 1439, 1601? -2*m**3 - 2*m**2 + 366*m - 91 What is the j'th term of -2068, -4145, -6222, -8299, -10376? -2077*j + 9 What is the d'th term of 344, 766, 1358, 2210, 3412, 5054? 15*d**3 - 5*d**2 + 332*d + 2 What is the a'th term of -82, -319, -654, -1039, -1426, -1767, -2014? 8*a**3 - 97*a**2 - 2*a + 9 What is the n'th term of -39031, -39032, -39035, -39040, -39047, -39056, -39067? -n**2 + 2*n - 39032 What is the n'th term of 8196, 8202, 8200, 8184, 8148, 8086? -n**3 + 2*n**2 + 7*n + 8188 What is the b'th term of -180, -772, -1758, -3138, -4912, -7080, -9642? -197*b**2 - b + 18 What is the i'th term of 17500, 35087, 52674, 70261, 87848? 17587*i - 87 What is the y'th term of 31282, 125155, 281616, 500671, 782326, 1126587, 1533460? y**3 + 31288*y**2 + 2*y - 9 What is the u'th term of 46, -102, -480, -1202, -2382? -19*u**3 - u**2 - 12*u + 78 What is the f'th term of -347, -317, -287, -257, -227? 30*f - 377 What is the a'th term of -11183, -22275, -33367? -11092*a - 91 What is the a'th term of 8870, 8871, 8872, 8873, 8874, 8875? a + 8869 What is the q'th term of -334, -355, -390, -439, -502, -579, -670? -7*q**2 - 327 What is the s'th term of -2388, -4795, -7206, -9621, -12040, -14463, -16890? -2*s**2 - 2401*s + 15 What is the p'th term of 573, 525, 477, 429? -48*p + 621 What is the z'th term of 736, 831, 926, 1021? 95*z + 641 What is the d'th term of -39674, -39677, -39690, -39719, -39770, -39849, -39962, -40115? -d**3 + d**2 + d - 39675 What is the m'th term of 66624, 66629, 66634, 66639, 66644? 5*m + 66619 What is the m'th term of -134, -240, -408, -638, -930, -1284? -31*m**2 - 13*m - 90 What is the a'th term of 6109, 24446, 55009, 97798, 152813? 6113*a**2 - 2*a - 2 What is the b'th term of 77900, 77901, 77902, 77903? b + 77899 What is the r'th term of 72, 290, 646, 1134, 1748, 2482, 3330, 4286? -r**3 + 75*r**2 - 2 What is the h'th term of -1464, -2124, -2800, -3498, -4224, -4984, -5784, -6630? -h**3 - 2*h**2 - 647*h - 814 What is the k'th term of 3, 56, 195, 462, 899, 1548? 7*k**3 + k**2 + k - 6 What is the i'th term of 144, 227, 204, 21, -376, -1041, -2028? -9*i**3 + i**2 + 143*i + 9 What is the k'th term of 3054, 3066, 3080, 3090, 3090, 3074, 3036, 2970? -k**3 + 7*k**2 - 2*k + 3050 What is the n'th term of 865, 1854, 2969, 4210, 5577, 7070, 8689? 63*n**2 + 800*n + 2 What is the d'th term of -2535, -5104, -7675, -10248, -12823, -15400? -d**2 - 2566*d + 32 What is the y'th term of 169323, 338643, 507963? 169320*y + 3 What is the c'th term of -483, -955, -1413, -1857, -2287, -2703? 7*c**2 - 493*c + 3 What is the q'th term of -4493, -8973, -13453? -4480*q - 13 What is the u'th term of -71, -313, -713, -1271? -79*u**2 - 5*u + 13 What is the p'th term of 146556, 293101, 439646, 586191? 146545*p + 11 What is the v'th term of -56551, -56599, -56647, -56695? -48*v - 56503 What is the p'th term of 302, 559, 762, 911, 1006, 1047? -27*p**2 + 338*p - 9 What is the b'th term of 1339814, 2679633, 4019454, 5359277, 6699102? b**2 + 1339816*b - 3 What is the a'th term of -46, -233, -538, -961, -1502, -2161? -59*a**2 - 10*a + 23 What is the x'th term of 206, 404, 602, 800, 998, 1196? 198*x + 8 What is the h'th term of 7, -34, -115, -248, -445, -718, -1079, -1540? -2*
{ "pile_set_name": "DM Mathematics" }
he biggest value in -4, 2, i? 2 Let r = 0.08 + -0.04. Let t = 0.14 - r. What is the second biggest value in t, -2, -1? -1 Let b = 0.12 + -0.1. Let m = -0.09 + b. Let x = m + -4.93. What is the second biggest value in x, -2, -4? -4 Let j = -161 + 158. What is the second smallest value in -0.2, 2, j, -2? -2 Let h = -129 + 126. Let u = 6 + -4. What is the biggest value in h, -3/5, u? u Let m = -3.3 - -2.8. Which is the biggest value? (a) m (b) 3 (c) -5 b Let i(r) = -4*r - 1. Let u be i(1). Suppose 5*x - 5 + 55 = 0. What is the second biggest value in 2/7, x, u? u Let y = 15.6 + -16. What is the smallest value in -8, 0.2, y? -8 Let g = 0.15 - 0.05. Which is the smallest value? (a) -8/7 (b) -1/3 (c) g a Suppose -4*d + 20 + 2 = -3*j, 0 = -j - 5*d + 18. Which is the second smallest value? (a) -0.1 (b) j (c) 5 a Suppose 5 = 4*r + 25. What is the third biggest value in 8/7, r, -1? r Let k = 0.06 + -0.56. Let a be (1051/21 - 2) + -2. Let t = a - 139/3. What is the second biggest value in -2/9, k, t? t Let s = 7.3 - 7.7. Which is the second biggest value? (a) s (b) -12 (c) 0.2 (d) 4/7 c Let l be 2 - (3 + -4 + 3). What is the smallest value in -4, l, 3? -4 Let z be 175/(-6) + (-2)/6. Let f = -29 - z. Let i be (46/414)/(5/(-6)). What is the smallest value in f, i, 0.2? i Let q(k) = -k + 4*k + 10 - k - 3. Let m be q(-6). Which is the second smallest value? (a) -0.3 (b) m (c) -1/3 c Let s = -706/273 - -33/13. Let v = s - 2/7. Let d = -6 + 10. What is the third biggest value in v, d, -1/5? v Let r = 27 - 24. Which is the second biggest value? (a) 5 (b) r (c) 0.9 b Let p = -0.05 - -0.05. What is the third smallest value in 10, p, 0.4? 10 Let v = 0.4 + 3.6. Suppose 0 = -3*c + c - 8. What is the second smallest value in -5, v, c? c Let r = -0.09 - 9.91. Let s = r - -12. Which is the third biggest value? (a) -4 (b) -1/2 (c) s a Let m = 1/49 - 155/392. What is the second smallest value in -4, -3, m? -3 Let q = 0.9 + -1. Let f = 0.1 + q. Let w = -8/5 - -29/15. Which is the second smallest value? (a) w (b) -3/2 (c) f c Suppose 0*f + f = 0. Suppose -14 = -m + 2*q - f*q, 5*m - 45 = 5*q. Let s be 66/15 + m/(-10). Which is the biggest value? (a) 5 (b) s (c) 0.3 a Let k = 0.93 + -1.13. Which is the third biggest value? (a) k (b) -38 (c) 0.4 b Let j = -25 + 24.5. Which is the biggest value? (a) j (b) -5 (c) -1/10 c Suppose 4*b + 4*b = 8. Let h = 151/2 + -74. What is the smallest value in b, h, -5? -5 Let g = 0.06 + -0.36. Let x = -0.3 - g. Let o = 31 + -157/5. What is the second biggest value in -5, o, x? o Let m be ((-6)/24)/((-6)/40). What is the second smallest value in m, 3, -2? m Let t(x) = -4*x - 71. Let y be t(-18). Which is the fourth smallest value? (a) -3 (b) 1/20 (c) -0.3 (d) y d Let w(p) = p**3 + 8*p**2 - 22*p + 15. Let b be w(-10). What is the fourth smallest value in 2/13, 6/11, b, 4? b Let p be 6/(-6) + (0 - 1). Let o be (1 - -1)*p/4. Let t = 81 - 565/7. Which is the second biggest value? (a) t (b) o (c) 0 c Let w be (-6)/(-5)*(-2)/6. What is the biggest value in w, -1/7, 0.5? 0.5 Let p be ((-1)/686)/((-3)/12). Let z = -796/18865 + p. Let q = z - 31/55. Which is the third biggest value? (a) 5 (b) q (c) 2/3 b Let m be ((-2)/40)/(52/390). Which is the smallest value? (a) 0.4 (b) -2 (c) m (d) -3 d Let q = -72/79 - -14198/15405. Let z = q + -16/39. Let c be (-5)/(-20) - 18/8. What is the smallest value in c, z, 2/7? c Let j = -32 + 127/4. Let q = -7.03 + 7. Let t = q + -0.97. Which is the biggest value? (a) t (b) 0.5 (c) j b Let p = 1.04 - 1.4. Let a = 0.06 + p. What is the third biggest value in -1, -2/11, a? -1 Let x = 1 + -5. Let u = x + 4. Which is the third biggest value? (a) u (b) -1/8 (c) 2 b Let h(q) = -q**2 + 6*q - 4. Let l be h(5). Let w(n) = 2*n - 12. Let d be w(16). Let p = d + -15. Which is the biggest value? (a) l (b) 2/5 (c) p c Let o = -0.14 + 6.14. Let h = o + -8. Let d = h - -5. Which is the third smallest value? (a) d (b) -2/7 (c) 0.4 a Let v = -3 + -2. Let g = 6 - 6. Let n be (-10)/(-9) + -1 - g. What is the second smallest value in v, 0.3, n? n Let t = 137/189 - 8/27. Which is the second biggest value? (a) 0 (b) t (c) -1/5 a Let l = -2/65 + 3/13. Let g = 3 + -3.3. Let x = g + 0.1. What is the second smallest value in x, l, -1/2? x Let f = 2.6 + -3. Which is the third smallest value? (a) 0.4 (b) 2 (c) f b Let x = -33.79 - -34. Let g = 9.79 + x. Let p = 7 - g. What is the second smallest value in p, -2, 2? -2 Let y be -1 + (-5)/(-4) - 58/40. What is the third smallest value in -2/7, y, -3, -1? -1 Let y = 3.59 + -0.69. Let f = -3.3 - -0.3. Let m = f + y. What is the third smallest value in -2, 0.1, m? 0.1 Let v = -11 + 11. What is the third smallest value in v, 3/5, -5? 3/5 Let m be (5 - 3)/(-10) + 0. What is the second smallest value in m, 0.3, -0.3? m Let j be 494/(-91) - 4*-1. What is the third smallest value in 1, -3, j? 1 Suppose -5*v + 5*d - 16 = -6, -5*v = -3*d + 2. Let x = -0.87 + 0.07. Let k = 0.4 + x. Which is the third smallest value? (a) v (b) k (c) 4 c Let o be ((-6)/(-8))/(1/(-40)). Let f be (-1 + 4)*14/o. What is the second smallest value in f, 1/2, 1? 1/2 Suppose -p = -6*p + 10. Let g = -1.5 - -1.3. Which is the third smallest value? (a) g (b) -4 (c) p c Let g = 0.054 + 0.046. Which is the third smallest value? (a) 3 (b) 0.2 (c) g a Let a = 24 - 99/4. What is the second biggest value in -0.1, -5, a? a Let w = -6 - -14. Let b = w + -7.8. What is the second smallest value in 4, b, -2/3? b Let f = 51.1 - -0.9. Which is the second smallest value? (a) f (b) 1/4 (c) -2/15 b Let c be -2 + (-1)/(-1) - 1. Suppose -3*v - 2*r + 8 = 5, 2*r = -5*v + 5. What is the second biggest value in 5, c, v? v Let x = -303/5 + 61. What is the biggest value in x, 1, 4/9, -1/4? 1 Let z = 0 - 1. Let k be (-16)/90*(-12)/16. Let u = k + -7/15. Which is the smallest value? (a) -3 (b) u (c) z a Let i = -3 - -1. Let w = 8 - 3. Let k = -0.1 + -0.1. Which is the third biggest value? (a) i (b) k (c) w a Let f = 10 - 11. What is the second smallest value in f, -2, 4? f Let u = -1/61 + -113/549. Which is the second smallest value? (a) 0.1 (b) u (c) 1 a Let o be 1 + 0/(-1) + 1. Let v = -133 + 138. What is the third smallest value in 0, v, o? v Suppose 5*r - 20 = 2*o, 0 = 4*r - o + 2*o - 16. What is the third biggest value in r, 0.4, -5? -5 Let l = -1.3 + 1.7. Which is the smallest value? (a) 1/2 (b) l (c) -1/8 c Let u = -0.1 - -0.1. Let t = 1 - -3. Let m = 3.9 - t. What is the smallest value in m, -3, u? -3 Let s = 2.4 + -3. What is the biggest value in s, 2, -0.4? 2 Let u be ((-12)/(-8))/((-1)/2). Which is the second biggest value? (a) -2 (b) 18 (c) u a Let g = -0.4 - -0.4. Let m = g - 0.3. What is the second smallest value in -0.4, m, 2? m Let m(x) = -x - 1. Let a be m(0). What is the second smallest value in a, 12, 3? 3 Let c = 0.07 + -4.07. Let o(j) be the second derivative of -j**4/12 + j**3/3 - 5*j**2/2 - 5*j. Let i be o(0). What is the second smallest value in -0.4, c, i? c Let w = -46 - -47. Which is the third smallest value? (a) 0 (b) 2/3 (c) -0.1 (d) w b Let y be ((-50)/(-45))/(2/(-12)). Let h be 3/(-15) - (-184)/(-30). Let k = y - h. What is the smallest value in -1, 4, k? -1 Let s = -1550.9 + 1441. Let k = s - -105. Let b = -0.1 + k. What is the smallest value in b, -0.4, 0? b Let f = 0.65 - -3.35. What is the biggest value in f, 2/5, -8, -2/13? f Let k = 0.5 - 7.6. Let h = k + 7. Let m = 142/55 + -35/11. Which is the third biggest value? (a) m (b) h (c) -4 c Suppose l - 1 - 3 = n, 0 = -5*l. Suppose -5*p = -11 + 1. Which is the third smallest value? (a) -3/5 (b) n (c) p c Let b = -94 - -1596/17. Let h = -2 - -2.1. What is the third smallest value in -2/9, h, b? h Let s be ((-57)/(-38))/((-3)/(-1)). What is the biggest value in s, 3, -6? 3 Let k = -39 - -40. Which is the smallest value? (a) 2/13 (b) 0 (c) k b Let w = -56 + 56.4. Which is the second biggest value? (a) -3 (b) w (c) -2 c Let o be (1 + -2)/(4/2). Let y = 0.8 + -1. Let j(n) = -n**3 + 12*n**2 - 11*n + 4. Let s be j(11). Which is the second smallest value? (a) y (b) o (c) s a Let m = 43 - 47. Which is the smallest value? (a) m (b) 5 (c) -0.2 a Suppose -18 = -2*w - k, -k = -3*k
{ "pile_set_name": "DM Mathematics" }
e next term in 32862, 32868, 32878, 32892? 32910 What is next in 560, 1070, 1462, 1676, 1652? 1330 What is next in 472, 679, 896, 1129, 1384? 1667 What is the next term in 238, 180, 108, 16, -102? -252 What is next in -4414, -8848, -13290, -17740? -22198 What is the next term in 6475, 12851, 19131, 25315, 31403, 37395, 43291? 49091 What is the next term in -1093, -8818, -29793, -70642, -137989? -238458 What comes next: 124977, 249954, 374931, 499908, 624885? 749862 What is next in -5062, -5678, -6294, -6910, -7526, -8142? -8758 What comes next: 19719, 19720, 19721, 19722, 19723? 19724 What is next in 11605, 23200, 34793, 46384, 57973, 69560? 81145 What is next in -3417, -13652, -30697, -54540, -85169, -122572, -166737, -217652? -275305 What comes next: -1672, -1773, -1948, -2203, -2544, -2977, -3508? -4143 What is next in 13683, 13744, 13803, 13860, 13915, 13968? 14019 What is next in -166224, -332445, -498666, -664887, -831108, -997329? -1163550 What is next in -865, -893, -949, -1045, -1193, -1405, -1693? -2069 What is next in 9097, 9113, 9133, 9157? 9185 What comes next: 903, 923, 943, 963, 983, 1003? 1023 What comes next: -222, -873, -1952, -3453, -5370, -7697, -10428? -13557 What comes next: 320, 340, 362, 386? 412 What is next in 817, 3244, 7283, 12934, 20197, 29072, 39559? 51658 What comes next: -1624, -1625, -1626, -1627? -1628 What is next in -87264, -87240, -87230, -87240, -87276? -87344 What is next in -94081, -188168, -282255? -376342 What is next in 512, 989, 1460, 1925, 2384, 2837, 3284? 3725 What is the next term in -892, -902, -920, -952, -1004, -1082, -1192? -1340 What comes next: -433805, -433803, -433799, -433793, -433785, -433775? -433763 What is next in 44, 1112, 4014, 9668, 18992, 32904? 52322 What comes next: 942, 539, -552, -2673, -6166, -11373? -18636 What comes next: -193, -135, -71, -1? 75 What comes next: 3201, 3187, 3207, 3279, 3421? 3651 What comes next: -222, -1584, -5264, -12414, -24186, -41732, -66204? -98754 What is next in -3122, -2998, -2890, -2804, -2746, -2722? -2738 What comes next: -51643, -51644, -51645, -51646? -51647 What comes next: 1612, 1619, 1634, 1657, 1688? 1727 What comes next: 1763, 1779, 1795? 1811 What is next in -835, -1675, -2519, -3367, -4219? -5075 What is next in 64, 151, 238, 325, 412, 499? 586 What comes next: -64, -295, -796, -1699, -3136, -5239? -8140 What comes next: -88, -256, -424? -592 What comes next: -241, -538, -835? -1132 What is next in -10317, -20650, -30983, -41316, -51649, -61982? -72315 What comes next: -429, -1640, -3651, -6456, -10049, -14424? -19575 What is the next term in -260, -627, -994, -1361, -1728, -2095? -2462 What is next in -3055, -6119, -9211, -12343, -15527, -18775, -22099? -25511 What is next in -18616, -19086, -19556? -20026 What comes next: -3634, -7314, -11040, -14818, -18654, -22554? -26524 What is next in 115, 50, -19, -98, -193? -310 What comes next: -1592, -1578, -1538, -1460, -1332, -1142, -878, -528? -80 What is the next term in -188, -636, -1340, -2300? -3516 What comes next: -4538, -17784, -39868, -70796, -110574, -159208, -216704, -283068? -358306 What is the next term in -351, -1390, -3131, -5574, -8719, -12566, -17115? -22366 What is next in -932189, -932190, -932191? -932192 What is the next term in 15186, 15196, 15212, 15234? 15262 What is next in -507369, -507370, -507371, -507372, -507373, -507374? -507375 What is next in 152451, 152454, 152457? 152460 What comes next: -910, -1730, -2456, -3088? -3626 What is the next term in -1352, -2693, -4008, -5285, -6512, -7677? -8768 What is the next term in 11119, 11021, 10921, 10819, 10715, 10609, 10501? 10391 What comes next: -3976, -3956, -3926, -3886, -3836, -3776, -3706? -3626 What comes next: 14230, 28472, 42714? 56956 What is the next term in -175652, -175649, -175646, -175643? -175640 What is the next term in 3504, 3507, 3510, 3513, 3516? 3519 What is next in -15, -81, -221, -459, -819, -1325? -2001 What is next in -7811, -31455, -70869, -126059, -197031? -283791 What comes next: 443, 2778, 7003, 13118, 21123? 31018 What is next in -193830, -193827, -193824, -193821, -193818, -193815? -193812 What is next in 272, 2092, 7010, 16574, 32332, 55832, 88622? 132250 What comes next: 812138, 1624274, 2436410, 3248546, 4060682, 4872818? 5684954 What is next in 3583, 4121, 4659, 5197? 5735 What is the next term in -17002, -34007, -51022, -68047, -85082? -102127 What is next in -1415, -1282, -1061, -752, -355? 130 What is next in 21724, 86869, 195442, 347443, 542872, 781729, 1064014? 1389727 What is the next term in 108410, 433667, 975754, 1734665, 2710394, 3902935, 5312282, 6938429? 8781370 What is the next term in -1890, -1893, -1922, -1971, -2034, -2105, -2178, -2247? -2306 What comes next: -238, -396, -554, -712, -870? -1028 What is next in -60710, -60704, -60694, -60680, -60662, -60640, -60614? -60584 What is next in -223, -598, -975, -1354? -1735 What comes next: 13964, 13961, 13954, 13943, 13928, 13909? 13886 What is next in -10556, -10602, -10680, -10790, -10932? -11106 What comes next: -615, -511, -237, 291, 1157, 2445? 4239 What comes next: 424, 2813, 7176, 13519, 21848, 32169? 44488 What is next in 6044, 11606, 17162, 22718, 28280, 33854, 39446? 45062 What is next in 4864236, 4864234, 4864232? 4864230 What comes next: 704, 844, 984? 1124 What is next in -22, 57, 196, 413, 726, 1153, 1712, 2421? 3298 What is next in 813975, 1627950, 2441925, 3255900, 4069875, 4883850? 5697825 What is next in 59889, 59886, 59883, 59880? 59877 What comes next: -46466, -46481, -46496, -46511, -46526? -46541 What is next in -177, -460, -877, -1470, -2281, -3352? -4725 What is the next term in 0, 44, 84, 120, 152? 180 What is next in -75782, -151565, -227348, -303131, -378914, -454697? -530480 What comes next: 296, 554, 802, 1040? 1268 What is the next term in -473, -956, -1439, -1922, -2405, -2888? -3371 What comes next: -2569, -3003, -3717, -4705, -5961, -7479? -9253 What is the next term in -7612, -15222, -22834, -30448, -38064, -45682, -53302? -60924 What comes next: -1304, -1833, -3264, -6047, -10632, -17469, -27008? -39699 What comes next: -1513, -3025, -4537, -6049? -7561 What is the next term in -19524, -78077, -175660, -312267, -487892? -702529 What is the next term in 1754, 7303, 16564, 29531, 46198, 66559, 90608? 118339 What is next in -132, -578, -1680, -3774, -7196? -12282 What is the next term in 68, 91, 68, -1, -116? -277 What is next in 781, 1266, 1751, 2236, 2721, 3206? 3691 What is the next term in -142, -181, -294, -517, -886, -1437? -2206 What comes next: -136, -644, -1152? -1660 What is next in -493, -638, -797, -976, -1181, -1418, -1693? -2012 What comes next: 2179, 2164, 2133, 2080, 1999, 1884? 1729 What is the next term in -288738, -288731, -288720, -288705, -288686, -288663, -288636? -288605 What is next in 109, 201, 289, 373, 453, 529, 601? 669 What is next in 937, 1821, 2647, 3409, 4101? 4717 What is the next term in 346, 737, 1190, 1735, 2402, 3221, 4222? 5435 What comes next: 36616, 146485, 329594, 585937, 915508, 1318301, 1794310, 2343529? 2965952 What is the next term in -81, -594, -1897, -4356, -8337, -14206, -22329, -33072? -46801 What is the next term in -2604324, -5208647, -7812970, -10417293, -13021616? -15625939 What comes next: 510, 969, 1458, 1977, 2526? 3105 What is next in -17661, -35319, -52977? -70635 What is next in -35, -34, -33, -32, -31, -30? -29 What is next in -1090, -1231, -1466, -1795, -2218, -2735? -3346 What is the next term in 195, 959, 2241, 4047, 6383, 9255? 12669 What is next in 212, 427, 644, 863, 1084? 1307 What is next in 1238422, 2476847, 3715272, 4953697, 6192122, 7430547? 8668972 What is the next term in 44937, 44914, 44891, 44868, 44845? 44822 What is next in 249, 687, 1295, 2055, 2949? 3959 What comes next: 639, 1336, 2033? 2730 What is next in 23032, 23013, 22994, 22975, 22956? 22937 What is the next term in -51295, -51291, -51287, -51283, -51279? -51275 What is the next term in -2654, -5226, -7796, -10364, -12930, -15494? -18056 What is next in 788663, 1577316, 2365967, 3154616, 3943263, 4731908? 5520551 What is next in -173065, -173077, -173089, -173101, -173113? -173125 What is next in 235, 468, 699, 928, 1155, 1380, 1603? 1824 What is th
{ "pile_set_name": "DM Mathematics" }
Let m(y) be the second derivative of -y**6/360 + 7*y**4/2 + 38*y + 2. Let u(l) be the third derivative of m(l). Determine i(u(r)). 28*r**2 - 10*r Let b(p) = -125434*p. Let z(q) = 6*q**2. Determine b(z(u)). -752604*u**2 Let q(c) = -c**2. Let a(b) be the third derivative of -97*b**4/4 - 26*b**2 + b. Give q(a(u)). -338724*u**2 Let j(p) be the first derivative of 13*p**5/60 - p**2 + 7. Let r(t) be the second derivative of j(t). Let l(z) = -2*z - 2*z + 5*z. Give l(r(d)). 13*d**2 Let o(n) = -n. Let q(k) = k - 6. Let x be q(8). Suppose -26 = -x*h - 22. Let t(d) = -d**2 + d**2 - 3*d**h. What is t(o(u))? -3*u**2 Let g(u) = -3*u**2 - 1 + 1. Let b(n) = 9*n**2 + 9*n**2 + 26*n**2 - 41*n**2. What is b(g(x))? 27*x**4 Let l(y) = -19*y**2. Let i(b) = 2*b**2 - 100*b - 278. Determine i(l(k)). 722*k**4 + 1900*k**2 - 278 Let z(r) = 4*r + 2*r - 2*r. Let s(a) = 14*a**2 + 4*a - 2. Let p(n) = -78*n**2 - 22*n + 11. Let t(l) = 2*p(l) + 11*s(l). What is t(z(w))? -32*w**2 Let l(y) = -2*y. Let z(u) = -89031*u. Calculate l(z(t)). 178062*t Let q(y) = 6*y. Let o(f) = 9636*f + 3. Calculate o(q(l)). 57816*l + 3 Let q(a) be the first derivative of -a**4/3 - 3*a - 6. Let j(p) be the first derivative of q(p). Let d(n) = -2*n. What is d(j(i))? 8*i**2 Let s(z) = z. Let q(l) = -l + 1. Let j(w) = 74*w**2 - 37*w + 37. Let f be (-3111)/85 - (-4)/(-10). Let a(k) = f*q(k) + j(k). Give a(s(v)). 74*v**2 Let z(g) be the second derivative of 2*g**3/3 - g**2 + 15*g. Let v(f) = 5*f - 3. Let w(q) = 4*v(q) - 6*z(q). Let a(j) = -2*j**2. Calculate a(w(r)). -32*r**2 Let h(p) = 2*p. Let z(q) = 2466427*q**2. What is z(h(o))? 9865708*o**2 Let t(n) = -433 + 433 - 5*n + 89*n. Let c(u) = -2*u. What is t(c(r))? -168*r Let k(r) = -9*r**2. Suppose b - 4*b = -15. Suppose g - b*g + 16 = 0. Let f(p) = p - g*p**2 - p + 3*p**2. Determine k(f(l)). -9*l**4 Let f(p) = 35*p**2. Let h(n) = 2*n**2 - 3*n**2 + 3*n**2 + 3*n**2 + 3*n**2. Determine f(h(v)). 2240*v**4 Let y(b) = b. Let p(q) be the second derivative of -7*q**4/6 + 4*q + 3. Calculate p(y(m)). -14*m**2 Let y(m) = 160920*m**2. Let x(p) = -6*p**2. Calculate y(x(i)). 5793120*i**4 Let k(q) = -8*q**2. Let f(p) = 23*p + 4 + 24*p - 54*p. Let u(l) = 5*l - 3. Let z(w) = 3*f(w) + 4*u(w). What is z(k(n))? 8*n**2 Let z(m) = -2*m**2. Let j(s) = 39*s**2 - 17. Let w(t) = -118*t**2 + 50. Let k(a) = 17*j(a) + 6*w(a). Give z(k(b)). -4050*b**4 + 1980*b**2 - 242 Let k(d) = 43*d**2. Let g(p) = 2625*p**2. Let y(b) = -4*g(b) + 245*k(b). Let n(a) = -a**2. Determine y(n(o)). 35*o**4 Let q(d) be the first derivative of -67*d**4/24 - d**3/6 - d**2/2 - 6*d + 38. Let y(b) be the second derivative of q(b). Let u(i) = -i**2. Calculate u(y(h)). -4489*h**2 - 134*h - 1 Let p(w) = -2*w**2. Let b(f) be the first derivative of 5*f**3/3 - 2*f + 381. Determine p(b(r)). -50*r**4 + 40*r**2 - 8 Let u(w) = 5*w**2 + 0*w**2 + 0*w**2 - 4*w**2 + w**2. Let g(m) be the third derivative of -m**4/3 + m**2. What is g(u(p))? -16*p**2 Let f(b) = 3*b**2 - 33*b. Let t(j) be the first derivative of -j**3/3 - 212. Give f(t(a)). 3*a**4 + 33*a**2 Let x(z) = 31*z. Let u(b) be the third derivative of -5*b**5/12 + 278*b**2. Give x(u(k)). -775*k**2 Let k(z) = 106*z**2 - 212*z**2 + 103*z**2. Let g(n) be the second derivative of n**4/6 - n. What is k(g(q))? -12*q**4 Let k(i) = 4*i. Let n(b) = -b - 4. Let j(o) = o - 1. Let v(s) = -4*s - 2. Let m(g) = 3*j(g) + v(g). Let l(p) = -4*m(p) + 5*n(p). Give l(k(w)). -4*w Let l(n) = -2*n**2. Let b(c) = -27*c - 247. Determine b(l(s)). 54*s**2 - 247 Let o(l) = 8*l**2. Let i(z) = 9*z**2. Let r(j) = -5*i(j) + 6*o(j). Let t(b) be the second derivative of -3*b**4/4 - 34*b. Determine r(t(h)). 243*h**4 Let v(l) be the first derivative of -16*l**3/3 - 1. Let k(p) = -60*p**2 + 43*p**2 + 15*p**2. Give v(k(i)). -64*i**4 Let w be ((-2)/3)/((-6)/27). Suppose w*h - 30 = -5*z - h, 4*h - 10 = 5*z. Let r(v) = 14*v**2 - 7*v**z - 4*v**2. Let u(p) = -p**2. Determine u(r(s)). -9*s**4 Let o(y) = 177*y**2. Let x(q) be the third derivative of q**5/30 - 808*q**2. Determine x(o(j)). 62658*j**4 Let y(a) = -3*a. Let x(s) = 13674*s - 4. Give x(y(p)). -41022*p - 4 Let d(v) = 480*v. Let t(j) = -3*j**2 + 0*j**2 + 5*j**2 - 3*j**2. Give d(t(u)). -480*u**2 Let c(s) = -3*s**2 + 32*s + 4. Let k(m) = 24*m**2. Give c(k(o)). -1728*o**4 + 768*o**2 + 4 Let c(m) = 117*m**2 - 9*m - 18. Let p(y) = -29*y**2 + 2*y + 4. Let u(l) = -2*c(l) - 9*p(l). Let t(f) = 13*f**2. What is u(t(z))? 4563*z**4 Let u(o) = -2*o**2. Let t(b) = b**2 + 3*b + 27. Let h(c) = -5*c + c**2 + 0*c**2 + 3*c**2 - 53 - 6*c**2. Let x(p) = 3*h(p) + 5*t(p). Calculate x(u(a)). -4*a**4 - 24 Let w(v) = -1 + 1 - v**2. Suppose 0 = -9*j - 4 + 76. Let t(a) = 26 + 17 - 43 - j*a. Give w(t(r)). -64*r**2 Let v(z) = -3*z - 4. Let q(x) = -13*x - 18. Let h(a) = -2*q(a) + 9*v(a). Let f(d) = -20*d. Give h(f(i)). 20*i Let v(l) = 8*l - 2862. Let n(h) = -2*h + 713. Let t(q) = -9*n(q) - 2*v(q). Let w(r) = -2*r. Determine w(t(g)). -4*g + 1386 Let l(r) = 237*r - 84. Let o(n) = 3*n**2. Determine l(o(j)). 711*j**2 - 84 Let x(j) be the first derivative of j**3/3 - 13*j**2/2 + 13. Let g(r) = 6*r + 0*r - 4*r - r. Give x(g(a)). a**2 - 13*a Let q(x) be the second derivative of -58*x**3 + 890*x. Let b(n) = -4*n. Calculate q(b(o)). 1392*o Let m(c) = 28*c**2. Let v(b) = 2*b**2 - 21*b + 28. What is v(m(d))? 1568*d**4 - 588*d**2 + 28 Let v(f) = -f. Let d(a) = -3826*a. Calculate d(v(h)). 3826*h Let s(h) = -2*h. Let v(f) = 722*f**2 - 2*f - 73. Give s(v(l)). -1444*l**2 + 4*l + 146 Let v(f) = 4*f. Let w be (-2 + 0)*7/(-2). Let d(r) = -w + 2 + r + 5. Calculate d(v(j)). 4*j Let a be 1/2*(1466 - 0). Let d(c) = 3 - 3 - a*c**2 + 731*c**2. Let u(y) = -5*y**2. What is u(d(s))? -20*s**4 Let j(d) = -2*d. Let n(b) = -6*b**2 - 6. Let y(i) = 15 - 8*i**2 - 7*i**2 - 28 + 4*i**2. Let u(r) = -13*n(r) + 6*y(r). Calculate j(u(h)). -24*h**2 Let v(q) = -7*q. Suppose 5*w = -2*o + 34, 4*w = -o + 6*w - 1. Let j(h) = -3*h**2 - 4*h. Let s(t) = 5*t**2 + 7*t. Let k(c) = o*j(c) + 4*s(c). Calculate k(v(x)). -49*x**2 Let j(k) = -k**2. Let x(d) be the second derivative of 17*d**7/1260 - 37*d**4/12 - 7*d - 2. Let n(q) be the third derivative of x(q). Determine j(n(v)). -1156*v**4 Let o(g) = 10*g**2 - 8. Let b(i) = -2*i**2 - 8. Let r(s) = -s**2 - 2. Let j(u) = b(u) - 4*r(u). What is o(j(y))? 40*y**4 - 8 Let t(n) = 3*n**2 - 8*n - 8. Let m(d) = 5*d**2 - 14*d - 14. Let x(c) = -4*m(c) + 7*t(c). Let s(r) be the third derivative of -r**4/24 - 2*r**2. What is x(s(j))? j**2 Let x(o) = -2*o**2. Let d(s) = -21*s**2 + 11*s - 153. Let n(t) = -11*t**2 + 6*t - 82. Let k(c) = 6*d(c) - 11*n(c). Determine k(x(m)). -20*m**4 - 16 Let v(j) = 52729*j. Let i(r) = -r**2. What is v(i(o))? -52729*o**2 Let f(j) = -313*j**2 + 15*j. Let d(k) = 4*k**2. Give f(d(l)). -5008*l**4 + 60*l**2 Let r(j) = 14*j. Let o(b) = b + 2. Let v(x) = 3*x + 7. Let p(a) = 7*o(a) - 2*v(a). Let h(t) = t. Let c = 9 + -6. Let y(z) = c*h(z) - 5*p(z). What is y(r(l))? -28*l Let u(n) be the second derivative of 7*n**3/3 + 60*n + 2. Let y(l) = 4*l. Let i(b) = b. Let o(t) = 10*i(t) - 3*y(t). What is u(o(w))? -28*w Let m(n) be the second derivative of -n**3/3 + n. Let x(p) = -27*p**2 + 7*p - 7. Let z(r) = -13*r**2 + 4*r - 4. Let k(w) = 4*x(w) - 7*z(w). Determine m(k(y)). 34*y**2 Let p(y) = -14*y - 6. Let g(c) = -3*c - 27. Calculate g(p(w)). 42*w - 9 Let z(q) be the first derivative of 699*q**2/2 - 783. Let n(d) = d**2. Give n(z(v)). 488601*v**2 Let f(h) be the third derivative of -11*h**5/20 - 56*h**2. Let j(x) = x. Determine f(j(s)). -33*s**2 Let m(k) be the third derivative of k**5/30 + 5*k**4/24 + 661*k**2. Let w(p) = 6*p**2 - 3*p**2 - p**2. Determine m(w(o)). 8*o**4 + 10*o**2 Let u(o) = -19*o**2 + 20*o**2 + 9*o - 9*o. Let h(v) = -135*v**2. What is u(h(t))? 18225*t**4 Let y(q) = 10*q. Let u(i) = i - 1. Let b(r) = 30*r - 24. Let t(n) = -b(n) + 24*u(n). What is y(t(k))? -60*k Let d(j) = j**2. Let g(u) = 5216312*u**2. Determine g(d(f)). 5216312*f**4 Let b(h) = -4*h - 3. Let c be ((-2 - 0) + 4)*-2. Let q be b(c). Let o(i) = -q + 13 - i. Let r(a) = -2*a**2. Give o(r(d)). 2*d**2 Let u(y) = -10*y. Let v(s) = -5*s - 1. Let m(j) = -39*j - 5. Let d(n) = -m(n) + 5*v(n). Calculate u(d(x)). -140*x Let p(i) be the second derivative of i**4/6 - 16*i - 3. Let z(t) = 6*t**2 + 13*t. Determine p(z(o)). 72*o
{ "pile_set_name": "DM Mathematics" }
9 + -3)/((-22)/99). 3 Calculate (9/(-12))/((-3)/16). 4 What is 3 + -8 - -2 - 0? -3 Calculate ((-52)/(-585))/((-1)/5). -4/9 (7 + -5)*10/(-5) -4 What is ((-475)/(-76) - 7) + 17/28? -1/7 What is the value of ((-1)/(-3))/(10/(-20))? -2/3 What is the value of ((-6)/16)/(72/32)? -1/6 Evaluate (-2)/5 + 4/10 + 3. 3 Evaluate (-23)/(-7) + (5/7 - 1). 3 Calculate (-2 + 1)/(24 - 23). -1 ((-21)/7)/((-4)/(32/(-18))) -4/3 What is the value of 1/3 + 45/(-540)? 1/4 Evaluate (3 + -4)/((1 + 0)/(-1)). 1 Calculate -1*(-2)/(-9) - 7/9. -1 Evaluate 2346/(-3060) + (-3)/(-5). -1/6 Calculate (54/(-396))/((-2)/(-4)). -3/11 Calculate (0 + -1)*(2 - (-3 - -6)). 1 What is 8/(-72)*15*-3? 5 Evaluate 10*(-8)/(-20)*3/54. 2/9 Evaluate (4 + -5)/(-3)*-2. -2/3 Evaluate 2*4/8 + (-1 - -5). 5 What is the value of 6/(-2) - (-2 - 4)? 3 Calculate (48/360)/((-6)/27). -3/5 Calculate ((-96)/(-56))/(2/(-7)). -6 Evaluate -4 - ((-15)/3)/5. -3 What is 2541/(-297) - (3 + -12)? 4/9 Calculate (3/2)/(4/24). 9 Evaluate 18/30 + (-74)/90. -2/9 Evaluate (10*10/(-25))/((-2)/(-4)). -8 Calculate (-4 - 8) + (-1 - -8). -5 What is the value of 1 + 9/11 - 2? -2/11 What is the value of (-6 - -1)/(13/(-26)*5)? 2 What is (-27)/(-45) - 32/(-5)? 7 What is the value of 7/((1 - 2)/((-8)/(-8)))? -7 What is 18/(-12) - (-10)/12? -2/3 What is (0 - 6/14) + 1216/4928? -2/11 ((-9)/(-8))/(-7 + 33/6) -3/4 What is (-2)/((-54)/(-6) + -5)? -1/2 Calculate (-5)/6*(392/105)/(-14). 2/9 6/(-10)*158/(-237) 2/5 2 - (3 + -9)/2 5 Calculate -1 + (3 - 7) + 3 + 7. 5 What is the value of 15/(-99) + (-26)/143? -1/3 Calculate -7 + (-9)/6 + 8. -1/2 Evaluate (2/(-5))/(-8 + (-158)/(-20)). 4 5*(-6)/(-10) - (-7 - -10) 0 Evaluate ((-80)/32)/(10/(-40)). 10 20/(-8)*(-84)/(-70) -3 (3/6)/(18*1/(-8)) -2/9 What is the value of (-3)/5*(-6850)/822? 5 What is (-5)/10 - 6/84? -4/7 What is the value of 3 + (-1 - (-8 + 6))? 4 (10/(-8))/((-10)/4 + 1) 5/6 What is the value of 2/(-12) + (10 - (-141)/(-18))? 2 What is (3/6)/((-15)/12)? -2/5 Calculate (5/15)/((33/(-45))/11). -5 What is 3 + ((-18)/(-8))/(-1)? 3/4 What is the value of (-1)/(-6) - (-4)/8? 2/3 Calculate (11/((-825)/6))/((-2)/2). 2/25 What is (-3)/15 + -1 - (-35)/175? -1 What is (-38)/(-10) + (-10)/(-50)? 4 117/(-45) - (-4 + (1 - 0)) 2/5 Evaluate (-4)/(-12) - (-4)/(48/44). 4 Evaluate 2*(-2 + (-54)/(-12)). 5 Calculate -3 - ((-69)/9)/(7/3). 2/7 (-4)/(-14)*(1067/(-99) + 10) -2/9 Evaluate 26/(-4) - (-11 + (-147)/(-14)). -6 Evaluate -5 + 117/(-26) + 10. 1/2 What is the value of 2/((-1)/((-30)/12))? 5 What is ((-845)/(-78) - 10)/(-5)? -1/6 What is the value of (-5)/2*(-63)/(-126)? -5/4 What is the value of -38*(-5)/(-240) - (-7)/56? -2/3 78*6/945 + 56/(-140) 2/21 Calculate 0*(9 + -4 - 4). 0 Evaluate (-6)/(-4) + (-374)/308. 2/7 Evaluate 3 - (-4)/14*-7. 1 What is ((-80)/(-32))/(1/2)? 5 What is the value of (5 + 6/(-3))/3? 1 What is the value of 240/(-100) + (-8)/5? -4 What is the value of 13/(-2) + (-13 - (-350)/28)? -7 What is the value of 3 - (-3 - 30/(-5))? 0 1 + 0 - -1*(-20)/28 2/7 (-62)/217 + (-19)/7 -3 Evaluate (-3)/14*32/(-24). 2/7 ((-5)/30*2)/((-4)/(-120)) -10 4*10/250*(-1)/(-2) 2/25 Calculate 1 + (1 - 0) + -2 + 3. 3 Calculate (3 - (1 + -1))*(-28)/12. -7 0 - 7/5 - 140/(-350) -1 Evaluate ((-88)/16 - -5) + 0/2. -1/2 What is the value of (2 - 42/18)/((-1)/(-24))? -8 Calculate (-34)/(-35) + -1 - (-270)/450. 4/7 What is the value of 22/(-55) - (-492)/780? 3/13 What is the value of 3/(-6)*(12 - 4/1)? -4 Calculate 0*((-1)/6 + (-63)/(-54)). 0 Evaluate 1/(5/70*-6) + 3. 2/3 Evaluate (-34)/14 - ((-8)/(-14) + -1). -2 Calculate (-3)/(-6) - -4*3/(-48). 1/4 What is the value of (-21)/(-28) - 123/132? -2/11 What is the value of 12/(-8)*1/2? -3/4 What is the value of 3/((-2)/(16/6))? -4 What is the value of 32/64 - (-34)/(-4)? -8 (40/1700)/(3/(-15)) -2/17 5/(-10) - 3/10 -4/5 Evaluate ((-9)/5)/(168/(-140)). 3/2 (-3 - (-200)/65)*2 2/13 What is 6*((-15)/6)/(6/(-2))? 5 Evaluate 15 + -6 - (6 - -8). -5 Calculate 448/(-7392) + (-97)/33. -3 Calculate ((-344)/(-903))/((-2)/3). -4/7 Evaluate 22 + -26 + -1*-1*2. -2 Calculate ((-596)/1043)/((-2)/14). 4 Evaluate -3 - ((-91)/21 + 1/3). 1 What is (-18 + 16)*1/2? -1 6*(7/28 + 11/(-12)) -4 What is ((-12)/(-45))/(42/35)? 2/9 Calculate (8 + -7)*4/10. 2/5 Evaluate (-3)/((-42)/(-4)) - 160/224. -1 What is the value of 7776/1134 - (-1)/7? 7 What is (510/(-68))/((-36)/(-4))? -5/6 Evaluate 40/16 + (-184)/16. -9 2/((3 - -1) + -6) + 2 1 Calculate (51/(-102))/((-33)/12). 2/11 What is ((-4)/(-26))/((-88)/(-286))? 1/2 What is (2/(-5))/(12/(-20))? 2/3 What is (-6)/15 + (-58)/(-70)? 3/7 What is -3 + 2 + -3 + 3 + 0? -1 Evaluate (-3)/4 - (-16)/(-64). -1 Evaluate 305/61*((-22)/(-12) - 2). -5/6 (9/81 - 14/(-36))*-10 -5 Evaluate 22/(-462)*(-3 + 2)*-6. -2/7 Evaluate (-3 + 1)*(-3 - (2 + -3)). 4 (2/15)/((-18)/(-10) + -1) 1/6 Evaluate (-6)/(-4) + ((-196)/(-8))/(-7). -2 Calculate -1 + 4/2 - 5. -4 What is (-578)/170 + 6/(-10)? -4 Calculate ((-4)/(-20)*4 - 1)/(-1). 1/5 (0/(-1))/(2 + -4) 0 What is the value of (-1*8/40)/(9/(-5))? 1/9 Evaluate (-322)/(-2530) + (-3)/(-11). 2/5 What is the value of -8*(-5)/(-5) + 11? 3 (-1)/5 - 96/20 -5 Calculate ((-3)/(5 + 4))/(28/36). -3/7 What is the value of (-2 - -4) + (5 - 12)? -5 Evaluate (12 + -7)/(2/(-4)*2). -5 Evaluate (-6)/(-9) - ((-7)/3 + 2). 1 (-2)/12 + (-2914)/372 -8 Evaluate 2 + (-306)/189 - 6/(-21). 2/3 (-1040)/104 + 92/9 2/9 (-4)/215*115/(-46) 2/43 Calculate ((-62)/14 - -4)/3. -1/7 -1*((-3)/21)/(3/(-7)) -1/3 What is (-8)/(-32)*16 + (-44)/10? -2/5 Calculate 2 + ((-1)/(-4) - (-1)/(-4)). 2 What is the value of 68/238 - 12/(-7)? 2 Calculate -1 + (8 - 71)/(-7) + -2. 6 Evaluate 11 - (0 - -1)/((-7)/(-35)). 6 What is the value of ((-43)/(-39) - 1)/((-116)/(-174))? 2/13 What is (-3)/(-3) + 33/11? 4 What is (-2 + 5)*30/(-405)*-1? 2/9 Evaluate (5/((-30)/72))/(-2). 6 What is (-121)/33 - (-1)/(-3)? -4 (-1 - -1)/(-1) - (-90)/30 3 What is the value of -2 + 8/6 - (-430)/(-129)? -4 Evaluate -1*10/10*7. -7 Evaluate -1 - -1 - -3*(-10)/(-105). 2/7 What is the value of (-670)/1675*(0 + (-10)/4)? 1 What is ((-2)/6 + -3)*(-9)/(-6)? -5 Calculate (3/5)/(1/(-2) - 1). -2/5 Evaluate 1 - 1 - -7 - 13. -6 What is the value of (1 + -4 + 6)/(-5 + 1)? -3/4 Evaluate (3/(-14) + 12/(-42))/1. -1/2 Evaluate 70/18*3 - 10. 5/3 What is -6 - (304/36 - 8 - 6)? -4/9 Calculate -2*((-2)/6 + (-13)/(-30)). -1/5 What is (3/4)/((-56)/28)? -3/8 What is the value of 9/(-9) + (-33)/(-21)? 4/7 What is the value of 9/28*(28/24)/1? 3/8 What is -3 + (-6 - -8) - 18/(-15)? 1/5 What is the value of (-26)/12 - (6/(-2) - -1)? -1/6 Calculate 5 - (-14 - 77/(-7)). 8 What is (-3 + (-14)/(-5))/(-2)? 1/10 Evaluate 15/4 + (-30)/8 + 4. 4 What is (68/(-15) - -4)*(-3)/12? 2/15 ((-8)/(-5))/((-58)/(-145)) 4 What is the value of (1 - (-20)/(-12))*6? -4 Evaluate -2 + (1 - -3) + (11 - 12). 1 Evaluate (-4)/18 - (2 + (-20)/9). 0 What is (-8 + 10)/(4*-2)? -1/4 (12/6)/((-5)/(-2)) 4/5 What is (3 - 7) + (2 - (-55)/20)? 3/4 Calculate 1496/176*(-28)/(-34). 7 What is the value of (3/(-1))/((-18)/(-8))? -4/3 Evaluate -4 - (356/(-80) - 2/(-10)). 1/4 What is (-6)/(((-30)/(-24))/(1/6))? -4/5 What is the value of ((-3)/((-30)/4))/((-6)/5)? -1/3 What is the value of 18/(-22) - -1 - 75/(-132)? 3/4 (-2*3/(-12))/(-2) -1/4 Evaluate 17/(-33) - (-66)/363. -1/3 Calculate ((-28)/(-231))/(1 - 5/15). 2/11 Evaluate ((-1020)/(-544))/((-9)/4). -5/6 What is the value of ((-7)/2 - -3)*78/13? -3 Evaluate 1*6*(-1 - 4/(-8)). -3 What is the value of 6/(-10) - 168/(-30)? 5 (-3)/(-2)*-2 - (4 - 2) -5 Evaluate (-1)/(1/5*-1). 5 Calculate (10/50 - (-4)/5)*4. 4 What is 710/284*-2*1/(-10)? 1/2 What is 2 + -9 + 2 + (31 - 28)? -2 Calculate 286/(-715) - (332/(-130) + 2). 2/13 Evaluate 2 + 86/(-18) + 3. 2/9 Evaluate 40/(-100)*(-1 + 2). -2/5 What is (-3)/(-5)*(-96)/(-144)? 2/5 What is the value of (-32)/(-48)*(-6)/10? -2/5 What is ((-3)/4 + 0)*912/(-380)? 9/5 What is (-208)/(-34) - (10 - 34)/(-4)? 2/17 What is 9 + (-4)/(-6)*-9? 3 What is the value of 14/63 - (-6)/(-27)? 0 Evaluate (1 + 2)*1*(-6)/(-9). 2 Calculate 1/6 + (-5 - 1208/(-240)). 1/5 What is 5/4 + 470/40 + -12? 1 Evaluate 1 - ((-4)/18)/((-2)/6). 1/3 5*-4*((-68)/16 - -4) 5 (-13 + (-680)/(-50))*15 9 Evaluate (3/(-9))/((-3)/9). 1 Calculate (-1)/(0 + (-2 - 31)/3). 1/11 What is ((-24)/18)/(-4) - 68/(-12)? 6 What is the value of ((-1
{ "pile_set_name": "DM Mathematics" }
. Let m(w) = -2*r(w) + 5*u(w). Does 21 divide m(-5)? True Suppose -4*d + 6 = 2*v - 20, 4*v = 4*d - 56. Suppose -d*c = -7*c - l - 1228, -5*l = c - 636. Is 44 a factor of c? True Suppose 4*z = -j + 6411, -3*j + 2582 = 5*z - 16637. Is 19 a factor of j? True Let m(t) = -t**2 + 7*t + 34. Suppose 5*i = -5*j + 80, j - 4*i - 8 = 18. Let g be m(j). Let q = -83 - g. Does 15 divide q? False Let b = -55 - -55. Does 6 divide 19 - 1 - (-2 - b) - 4? False Let z(s) = -s**2 - 36*s - 135. Let u be z(-26). Suppose u*a + 6000 = 135*a. Is 20 a factor of a? True Let t = 192 - 126. Let y = 115 - t. Suppose 5*f = 3*w - y, 5*f - 3 = -5*w + 92. Does 9 divide w? True Suppose 2*c = h + 51723, -h + 29137 = c + 3289. Does 221 divide c? True Suppose -m + 22 = 3*r, -r - 5 = -4*m + 5. Let s be ((-2866)/14)/(-1) + r/21. Suppose -5*h - 2*y + s = 3*y, 3*h - 139 = y. Does 20 divide h? False Suppose 4*y = 13 + 3. Let o(d) be the third derivative of d**6/40 - d**5/15 + d**4/8 - d**3/3 - 2*d**2 - 25*d. Does 27 divide o(y)? False Suppose -3074*w = -2928*w - 3412458. Does 11 divide w? False Let u(g) = -8 + 4*g**2 - 4*g - 4*g**2 - g**3 - 6*g**2 + 15*g**2. Let z be (-1)/((-9)/6*4/42). Is 31 a factor of u(z)? True Suppose -10*b = -b + 3753. Let l = 801 + b. Does 24 divide l? True Suppose -20*h = -24*h - 3*l + 232, 4 = -l. Let a(b) = -b + 217. Let v be a(0). Suppose v = 4*z + h. Is z a multiple of 13? True Is 3 a factor of 973 - 1*((-13 - -3) + 3)? False Suppose 104*z - 123539 = -218*z + 542357. Is z a multiple of 44? True Let g be -318*3*(-4)/18. Let z = g - 112. Does 5 divide z? True Suppose -8442 = -5*k + 3*s, 3*s = k - 1830 + 156. Is 141 a factor of k? True Suppose 7*r - r = -3324. Is (4 - r - 3)*2/2 a multiple of 15? True Let y(g) = -g**3 + 3*g**2 + g + 1. Let z be y(4). Let l(j) = 36*j - 7. Let s(d) = 8*d - 1. Let q(b) = l(b) - 5*s(b). Is q(z) a multiple of 14? True Let a(k) = -k**3 - 42*k**2 + 34*k - 64. Is a(-45) a multiple of 60? False Suppose 0 = -w + 264 + 221. Suppose -w = 2*s + 363. Let z = s - -602. Is z a multiple of 17? False Let h(i) = -16*i + 25. Let c(k) = 11*k - 17. Let b(q) = 7*c(q) + 5*h(q). Let g be b(-12). Suppose -72 = -5*p - l + 5*l, 2*p = -5*l + g. Does 8 divide p? True Suppose -2*v = -5*z + 9770, 15*z + 4*v + 7804 = 19*z. Does 86 divide z? False Let c = 1311 + -1029. Does 5 divide c? False Suppose l = -2*p + 23306, -p + 11646 = 41*l - 44*l. Is p a multiple of 4? True Let y(g) = 19*g + 166. Suppose -76*z = -77*z + 6. Is 28 a factor of y(z)? True Suppose 0 = -2*h - 17*h + 3933. Let w = h - 144. Is 9 a factor of w? True Let o(w) = -2*w**3 + 72*w**2 + 44*w - 5. Is o(36) a multiple of 69? False Let x(n) = 2*n**2 + 30*n + 7. Let r be x(-15). Let v(f) = 0 - 2 + r - 95*f. Does 15 divide v(-2)? True Suppose -11*b - 3 = 96. Let h(q) = -q + 0*q + q**3 + 9*q**2 + 14 + 6 - 2. Does 3 divide h(b)? True Let j(r) = 254*r**3 + r**2 + 9*r - 2. Let v(b) = -127*b**3 - 5*b + 1. Let n(z) = -3*j(z) - 5*v(z). Does 44 divide n(-1)? False Let m(v) = -v**3 - 22*v**2 - 43*v - 48. Let c be m(-20). Suppose -4*g + 48 - c = 0. Does 2 divide g? False Let d = -3280 - -4097. Is 35 a factor of d? False Suppose 34 = 10*j + 7*j. Is (-42 + -5 + 0)*(-7 + j) a multiple of 76? False Suppose 213*p + 1646298 = 600*p. Is 6 a factor of p? True Suppose 559 + 347 + 3798 = 12*n. Does 186 divide n? False Let t(g) be the third derivative of -g**6/120 + 11*g**5/30 + 23*g**4/24 + 4*g**3 - 86*g**2 + 2*g. Does 12 divide t(23)? True Let b = 61 - 56. Let f be (18765/6)/b - (-7)/14. Suppose -l = 4*l + 4*s - f, 0 = -2*l + 2*s + 254. Is l a multiple of 23? False Suppose 2*c - 67 = k, 56 = c - 0*k - 5*k. Suppose 11*w - c = 24. Suppose o + 2*r = -3*r + 233, 4*o = -w*r + 1007. Does 43 divide o? True Let n(l) = l + 8. Let s be n(-13). Suppose 4*h + 5*r - 156 = 2*h, 3*r = -5*h + 409. Does 9 divide 2 + s + h + 1? True Let c = 232 + -152. Suppose -78*a - 6 = -c*a. Is 13 a factor of (a - (-22)/(-10))*(24 + 1)? False Let l(c) = -6*c**3 - 9*c**2 - c + 239. Is 27 a factor of l(-14)? False Suppose -225*t = -222*t - 6. Suppose -t*j = -5*r - 30, -2*j + 2*r + r + 22 = 0. Suppose 0 = j*q - 1688 + 208. Is q a multiple of 37? True Let h = -15 + 8. Let y be (-8)/16 + h/2. Is (22/(-6))/(y/72) a multiple of 7? False Let j(t) = t**3 + t**2 + 26*t + 12. Suppose 36 + 44 = 8*o. Does 14 divide j(o)? True Let f(b) = -12*b + 44. Let t(w) = 18*w - 50. Let z(r) = 19*r - 51. Let y(a) = -6*t(a) + 5*z(a). Let q(o) = -6*f(o) + 5*y(o). Is 9 a factor of q(9)? False Let y(t) be the third derivative of t**6/120 - 11*t**5/30 + 23*t**4/12 - t**3/6 - 28*t**2 + 3. Let i be 30/(-1 - 10/(-4)). Does 37 divide y(i)? False Is 84 a factor of (284 - (25 + -21))/(2/33)? True Is 125 a factor of ((-17250)/(-24))/(8/64)? True Let n = 130 - 120. Let r(x) = -x**2 + 20*x - 30. Is 7 a factor of r(n)? True Suppose 0 = 30*c - 417916 + 212291 - 415075. Is c a multiple of 14? False Let j(f) = -22*f - 59. Let h be j(-14). Let b = -93 + h. Does 13 divide b? True Let i(h) = h**2. Let w(l) = -23*l**2 - l + 5. Let q(u) = -5*i(u) - w(u). Does 11 divide q(-5)? True Let f be -2 - 12011/(-6) - (-3)/18. Suppose c + 803 = -0*d + 2*d, -5*d + c = -f. Is d a multiple of 21? True Let p = 10042 + -5028. Is 46 a factor of p? True Suppose 2*v + 136 = 140. Suppose i + 2*w = 8, -v*w + 8 = -6*i + 4*i. Suppose z + o - 75 = 0, i = o - 0 + 3. Is 6 a factor of z? True Let c be ((-58)/(-4))/((-9)/(-54)). Suppose 617 = 11*b - c. Is 32 a factor of b? True Let j = 12 - -28. Let m = 2 + 3. Suppose -h = -m*h + j. Is h a multiple of 2? True Does 113 divide (-150)/(-6) + -24 + 30283? True Let k(x) = -107*x - 139. Let c be (4/16)/((-4)/160*2). Is k(c) a multiple of 18? True Is 45 a factor of (-138)/(-2)*(3 - (-90)/(-27))*-824? False Let l(o) = o**3 + 2*o**2 - 7*o + 5152. Is l(0) a multiple of 16? True Suppose 0 = -2*v + 5*g + 39030, 0 = -4*v - 4*g - 26104 + 104080. Does 12 divide v? True Is ((-50 - -2)/12)/(-2*10/73045) a multiple of 31? False Suppose -20*l + 72 = -8*l. Suppose -2*t = l*g - 5*g, t + g = 0. Suppose 0 = -5*n + y + 602, 5*y - 2*y + 6 = t. Is n a multiple of 40? True Let z(v) = -9*v + 17. Let n(f) = -9*f + 17. Let u(a) = -4*n(a) + 6*z(a). Let r be u(5). Let p = -43 - r. Is 13 a factor of p? True Let u(p) = 203*p + 53. Let h(l) = 40*l + 11. Let d(j) = 33*h(j) - 6*u(j). Does 27 divide d(3)? True Let d = 124 + -118. Let r = d + 69. Suppose 0 = q - 3*j - 135, -2*j + r + 219 = 2*q. Does 8 divide q? True Let j = 9868 + -5260. Is 16 a factor of j? True Is (-26405)/(-110) + 7 + 2325/(-330) a multiple of 10? True Suppose -4*n - 16 = 0, -5*k = -k + 5*n + 20012. Is (2 - 1/(-2))/((-21)/k) a multiple of 12? False Let r be (-56)/(-6)*(1 - -2). Let i = r + -26. Suppose -i*f + 43 + 39 = 0. Is 6 a factor of f? False Let x = -98 - -100. Suppose 2*r = -2*r + 20, -50 = -5*c + x*r. Does 3 divide c? True Let p(m) = 22*m - m**2 + 363 - 706 + 361. Is p(11) a multiple of 14? False Let c = -2226 - -6862. Is 38 a factor of c? True Let w be ((-15)/20)/(3/(-12)). Suppose 5*z = 6*z - w. Suppose 5*y - m - m - 165 = 0, 4*y - 139 = z*m. Is 3 a factor of y? False Suppose 2*a = -3*h + 3229 + 3968, 2*h = 4*a - 14402. Is 20 a factor of a? True Let j = -302 - -426. Suppose -4*l + 4*c = -j, -3*c = -2*l - 0 + 62. Is l even? False Let v(p) be the second derivative of 10/3*p**3 + p**2 + 8*p + 0. Is v(7) a multiple of 13? False Suppose 69 = -2*c - 155. Let u = 27 - c. Suppose 2*o - 3*o + 85 = 3*w, 0 = 5*w + o - u. Is w a multiple of 11? False Suppose 34105 = 16*a - 45155 + 5324. Is a a multiple of 32? False Let i(y) = 1308*y**3 - 6*y**2 + 27*y - 9. Does 5 divide i(2)? True Let l = 0 - -154. Let b be (-2 - -3) + -1 + -83. Let d = l + b. Does 9 divide d? False Let r(j) = 189*j - 130. Let v be r(5). Suppose 9*i = 706 + v. Is 48 a factor of i? False Suppose 0*d - 4*d + 16 = 0. Suppose 0 = -f - 4*u + 24, 4*f - 3*u = -d*u + 111. Does 11 divide (7/2)/(7/f)? False Suppose 14*k - 19*k = -1495. Suppose z = -0*z - k. Is 23 a factor of z/((1/(-1))/(-1)*-1)? True Let p(d) be the first derivative of -d**3/3 - 4*d**2 - 13*d - 1. Let m = -130 + 126. Is 2 a factor of p(m)? False Let u = 23423 - 19016. Is u a multiple of 9? False Let l(z) = z**3 - 10*z**2 - 12*z - 7. Let n be l(13). Let w = -219 + n. Does 16 divide w? False Suppose -s + 3*i - 6 = -36, -5*s
{ "pile_set_name": "DM Mathematics" }
*p for p. -3 Suppose -3*q - 102 = -2*a, -3*a = 5*q - 49 - 123. Suppose a*t - 55*t = -23. Solve 2*z = -3*r + 4*z - t, 4*r = -5*z for r. -5 Let s be (-54)/(-45)*40/6. Let o be ((-10)/s)/((-7)/56). Let b(d) = d**3 - 7*d**2 + 8*d - 10. Let f be b(6). Solve -5*k + o*k - f*t = 18, 0 = 2*k - t - 7 for k. 4 Suppose -4*m - 4 = 0, -2*v - 6 = m - 9. Solve 4*p + 20 = 0, v*p + p = -2*q - 5 for q. 5 Let l = -590 + 593. Solve x = 2*x + 3, -3 = 3*a - l*x for a. -4 Let b be 16/((1 - -4) + -3). Let t = b + -4. Solve -4*x = -c + 7, -x - t*x = 3*c - 4 for x. -1 Let b(m) = -126*m + 506. Let c be b(4). Solve 2*v + 12 = 2*d, -1 = 3*d + 4*v + c for d. 3 Let y = -103 - -106. Solve y = 3*u + i, 3*u + 6 = i + i for u. 0 Let s be ((-234)/(-8) + 2/(-8))/1. Suppose u = 2*j - 1, -7 + s = 4*u + 5*j. Solve v + u*l = 4, 3*l = -4*v + 6*l + 1 for v. 1 Let n(h) = -h**2 + 9*h - 5. Let c = 13 - 5. Let u be n(c). Suppose -9*i = -20*i + 55. Solve -5*p = i*j + 3 + 2, 2*j - 3 = u*p for j. 0 Let k be (-27)/6*2/(-3). Let c(b) = 2*b - 22. Let z be c(10). Let l be ((-400)/(-70))/(z/(-7)). Solve 3*y = 6*o - k*o, y + l = -3*o for o. -5 Let t = -249 - -251. Solve -t*m + 6 = -5*j - 6, -3*j + m - 8 = 0 for j. -4 Let n be (-8 - -7)/(1/(-3)). Solve -5*p + n*p = 4*z + 2, -5*p + 5*z + 25 = 0 for p. 3 Suppose 5*n = -k + 97 - 0, -3*n = 4*k - 65. Suppose 0 = -6*x - 6 + 42. Let s = -1 + 6. Solve -s*v + 25 = 4*r, -x*v + 2*v + n = 3*r for v. 1 Suppose 5*l + 3*u = 16, 4 + 8 = -4*u. Solve 5*s = -l*j, -5*s = -2*s + 5*j + 10 for s. 5 Suppose -3*g + 659 = 653. Solve -9 = -g*j - j + 5*z, -2*j - 4*z - 16 = 0 for j. -2 Let i(k) = k**2 + 4*k + 7. Suppose 0 = -5*b + 7*b - 2, 5*x + 15 = 5*b. Let n be i(x). Solve -15 = -2*p - 5*s - 0*s, 3*p = -n*s + 18 for p. 5 Suppose 2*c - 12 = 2*t, -3*c - 8*t + 4*t - 3 = 0. Solve -h - 4*z - z + 25 = 0, -h + 2*z = c for h. 5 Let f = -540 + 545. Solve 0 = -3*i + 3*o - 3, -f*o + 12 = 4*i - 11 for i. 2 Let v = 123 + -253. Let c = v + 132. Suppose -3*g - 15 = 2*g, 3*w = -g + 30. Solve 4*o - w = -3*a, -c*a - 5*o + 3 = -2 for a. 5 Let a = -75 - -77. Let v be (2 - 0 - -2) + (10 - a). Solve z - 5 = 4*h - 5*h, 4*z = 4*h - v for z. 1 Let d(w) = 2*w - 18. Suppose -5*a = 25, 0 = -0*f + f - a - 15. Let r be d(f). Suppose -r*z - 2 = -12. Solve -4*v - z*i = -v - 25, -2*v + i + 8 = 0 for v. 5 Let l = 949 + -945. Suppose 3*h = -v - 9, v + 4*h + 6 = -7. Suppose 5*m = -v*t + 6*t - 15, -3*m = -5*t + 9. Solve 2*a + t*a = -3*g - 13, -l*g = -4*a - 16 for a. -5 Let f be (35/14 + -5)*-2. Solve -4*c = f*a - 33, -a + 0 = -3*c + 1 for c. 2 Suppose 3*s = 7*s + 5*o - 21, -o - 3 = -s. Solve -3*q - 11 = -4*x, -2*q + s = 2*x - 12 for x. 5 Let v be 1 + 0/(-5) + 14. Suppose -3*y - 7 + 0 = -q, -5*y + v = 0. Solve -a = 2*a + 5*z - 32, -a - 3*z = -q for a. 4 Let b be (-117)/312 + (-35)/(-8). Solve k - b*u + 4 = 2*k, 5 = k + 5*u for k. 0 Let a(r) = -r**2 - 6*r + 2. Let y be a(-3). Let n = y - 8. Suppose -3 - 3 = n*i, 3*i + 8 = 2*m. Solve 2*c - 2*u + 8 = 0, -4*c + 2*u = m + 9 for c. -1 Let u = -1133 + 1134. Solve 4*k + 5*s - 4*s = -3, u = k + 2*s for k. -1 Let u(a) = -4*a**3 - 4*a**2 - 6*a - 1. Let f be u(-1). Solve -20 = -f*c + k - 2*k, 3*c + k = 12 for c. 4 Let p(y) = 2*y**3 + 9*y**2 + 3*y - 2. Let f be p(-4). Solve 2*g + 2 = -2*m + 3*g, 0 = 2*m - f*g + 2 for m. -1 Suppose -12 = -4*x + 4*q, 2*q = -5*x + 3 - 2. Solve -3*u - 4*s + 7 = 0, 3*u + 18 = 2*s + x for u. -3 Let b(t) = -t**3 - 6*t**2 - 18*t - 34. Let u be b(-4). Solve 2*j = h - 11, 5*j + 4*h - 16 = u*j for j. -4 Suppose 25*r = 29*r - 8. Suppose 0*x - 10 = -3*s + r*x, -3*s = -4*x - 20. Solve s = 5*k - 5, 2*g - k = g - 1 for g. 0 Suppose -7*w - 7*w + 28 = 0. Solve w*s + 3*q + 10 = s, 0 = 3*s - 2*q - 25 for s. 5 Let o = -62 + 76. Suppose -5*u - 15 = -5*z, 0 = -2*u - 3*z + o + 5. Solve -d = -u*p + 8, d = -p - d - 6 for p. 2 Let g(y) = y**3 + 3*y**2 - 4*y + 1. Let h be g(-4). Let u = h - -26. Let l(b) = -b + 7. Let i be l(7). Solve i*q = 3*c - 5*q + 35, -3*c + 3*q - u = 0 for c. -5 Let y be 18 - (-4)/(-6)*6. Suppose 5 = y*z - 9*z. Solve -4*i - z = -3*g - 0*i, -13 = 5*g - 3*i for g. -5 Let a be (-1131)/(-348) + 1/(-4). Solve -t - 5 = -2*v, a*v + 4*t = 3*t - 5 for v. 0 Suppose 117 = 5*y + 22. Solve 5*n = n - 5*a + y, 0 = -4*n - a + 7 for n. 1 Suppose -2*r = -p + 3*r - 16, 0 = 2*p + 2*r - 16. Solve 8 = -2*c + 4*m - 0*m, p*m = 12 for c. 2 Suppose 3*c - 2*o + 12 = 4, 3*c - o = -4. Solve 5*k + 8 = 3*w + 3, c = 5*k + 20 for w. -5 Suppose 5 = z - 4. Suppose 3*q - 6 = 0, 4*y - 64 = -0*y + 4*q. Suppose 0 = 4*b - b - y. Solve 2*d = -j - z - b, -2*j - 5 = -d for d. -5 Let v(z) = -27*z. Let c be v(0). Solve -2*l - l + 13 = -4*j, c = -2*l - j - 6 for l. -1 Let k be 6/2*153/27. Let p(u) = -5*u - u**2 + k - 3*u + 3 + u. Let h be p(-9). Solve -j - 2*c = 0, 3*c - 1 = -3*j + h for j. 2 Let l = 6 - 3. Suppose 9 + 6 = 3*k. Suppose -h + k*f - 2 = 7*f, -4*h + 10 = -f. Solve h*q + l*m - 19 = -0*m, -q - 4*m + 22 = 0 for q. 2 Let v be (-3 - (-3 - 0))/(-1). Suppose -3*g - 4*d + 15 = -2*g, v = -4*g - d - 15. Let n = 14 + g. Solve -k + n = -4*p, -3*k = -2*p + p + 6 for p. -3 Let x(c) = c - 1. Let a be x(4). Suppose 5 = 9*y - 49. Solve a*b + y = 0, 4*q = -0*b - b + 6 for q. 2 Suppose 7*h + 4*q - 105 = 0, q = 3*h - 2*q - 45. Solve -u - l = u + 3, 5*l = 2*u - h for u. 0 Let z(h) = 3*h**2 + 4*h - 3. Let q be z(-5). Let v be (q/(-65))/(2/(-5)). Solve -3*b - v*m + 11 = 0, -5*m + 3 = -17 for b. 1 Let r(c) = -3 - 2*c**2 + 2*c + 1 + 0 - 2*c**3 + 3. Let w be r(-2). Solve -3*t = b - 2, -2*b + 6 - 1 = w*t for t. -1 Let p be (2 - 2)/(2 + 0). Suppose p = 20*j - 4*j - 32. Solve 0 = -5*t + 5*h + 25, 3*h + 7 = -3*t - j for t. 1 Let d be (-24)/6 - -6 - -1. Let f be 0*3/6*-1. Suppose -5*u = -20, -s + 2 + 6 = u. Solve 3*c + d*x = f, -5 = -2*c + x + s for c. 3 Let v be -1 - (4 + -4 + -32). Let i = 37 - v. Solve -4*p + 20 = 3*g, -g + 0*p = p - i for g. 4 Let u be (-165)/297*(-9)/1. Solve -j + u = -3*j + f, 0 = -3*j - 5*f - 40 for j. -5 Let x be (1 - 0)*(-4 - -5). Let b(o) = -7 - 7 + 6*o + 11*o - o**2. Let r be b(16). Solve -3*f = c + 13, 7 - x = -2*f + r*c for f. -4 Suppose -49*c = -54*c + 15. Solve -4*a - 10 = -2*r, r - c*r - 2*a = -10 for r. 5 Let d = 92 + -92. Suppose -8*m + 4*m = d. Solve 4*x = -2*b + 4, -b + 4*b - 4*x + 4 = m for b. 0 Let w(h) = 5 - h + 5 - 2*h. Let c be w(7). Let r = c + 11. Solve r*k - 18 = 5*k - 4*u, 4*u = -k + 6 for k. -2 Let q(h) = 10*h**2. Let t be q(1). Let c be (-4)/t + (-18)/5. Let l be ((-3)/2)/(2/c). Solve l*a = j + 11, -6*j + 36 = -2*j + 4*a for j. 4 Suppose 6 = 2*l, y + 5*l = 21 - 3. Solve y*h + 0 = 2*i - 1, i = -5*h + 7 for i. 2 Let m = 2601 + -2586. Solve 2*p - 26*r = -25*r + m, 4*r + 5 = -3*p for p. 5 Let j(w) = 70*w - 558. Let q be j(8). Solve 0 = 3*b + q*t + 19 - 4, 3*t = -5*b - 24 for b. -3 Suppose 92 = b + 90. Solve -b*t = -5*k - 9, -2*t = -5*k + 3*t for k. -3 Suppose -14 = 2*i + 4. Let u(w) = 2*w + 9. Let h be u(-8). Let x = h - i. Solve 5*m = m + y + 18, x*m - y - 8 = 0 for m. 5 Suppose 3*t - 8 = 2*s, 53*s + 11 = 5*t + 52*s. Solve -t*k - 2*v = 12, 8*v - 7*v + 18 = -4*k for k. -4 Let r be (16/(32/3))/(3/8). Solve -2*h + d + 3 = -h, -4*d = r*h + 4 for h. 1 Suppose 20 = -5*n - 5*z, 2*z = 3*n + 5 - 13. Suppose -3*x = -0 - 3. Let a be (-3)/((-6)/52)*x. Solve -4*q - 2*d - 24 = n, -3*q - 3*d - a = -5 for q. -5 Let l(j) = j + 1. Let n be l(-5). Let i be 3 + n/3*9/(-6). Solve -z - 4 = -2*u, -3 - 5 = -i*u + 2*z for u. 0 Let s(u) = -u**3 - u + 3*u + 0*u - 6 + 6*u**2. Suppose 2*i = 8*i - 36. Let l be s(i). Solve 4*p - 5*q = -11, 3*p - 12 = l*p - 5*q for p. 1 Let p = -203 - -205. Solve p*x + 10 = 4, -3*m = -2*x - 6 for m. 0 Let j(m) = -m + 8. Let h be j(0). Solve 0 = -x - 0*x + z - h, 0 = x - 3*z + 16 for x. -4 Let x be (32/20)/(2/5). Let s be 24/36 - 10/6. Let n be ((-5)/4)/(s/12). Solve 0 = u - 4*a + 4 - n, -x*u - 1 = -a for u. -1 Let b(y) = -2*y**3 + 2*y**2 - 1. Let o be b(-1). Suppose o*l - 11 - 4 = 0. Solve -3*v = 3*w - 2 + 5, -4*v - 2 = l*w for w. 2 Let s(r) = -r**3 - 2*r**2 + 2*r - 1. Let o be s(-3). Let k be 4 - (o - (-3 + 4)). Let v be 15*(12/k)/12. Solve 3 = -4*m - v*h, 0*m - h = m for m. 3 Let b(s) = -s + 19. Let z be b(17). Suppose u = -5*d - 0*u + 20, z*d - u = 8. Solve 22 = -d*t + 2*t + 4*l, 4*l = -3*t - 3 for t. -5 Suppose -11 + 6 = h, 3*h = -3*q - 6. Solve -4*j + 29
{ "pile_set_name": "DM Mathematics" }
tors of m? 2, 7 Let j be (24/10)/((-4)/(-60)). Let s be (2*(-21)/(-9))/((-4)/(-6)). Let q = j - s. List the prime factors of q. 29 Let b be (9/6)/((-2)/(-4)). Let u(d) = 3*d**2 + d + 1. Let m be u(b). Suppose -m - 54 = -5*s. What are the prime factors of s? 17 Let g(q) = 571*q - 285*q - 279*q - 12. Let b be (-7)/(0 - (-2)/(-2)). List the prime factors of g(b). 37 What are the prime factors of (486 - 29) + 8/(-2)? 3, 151 Let b be 1/5 + (-403)/65. Let p(i) = i - 4. Let d be p(b). What are the prime factors of 2 - (d/(-5) - 2)? 2 Suppose -797*j - 10980 = -803*j. What are the prime factors of j? 2, 3, 5, 61 Let x(v) = -v - 9. Let r be x(-5). Let q be r/(-6)*(-3 - 0). What are the prime factors of 1/(q/(-29))*2? 29 Let b = 16 + -4. Suppose -3*x + b = -3. Suppose 142 = x*g + 2*d, -2*g - d + 0*d + 57 = 0. List the prime factors of g. 2, 7 Suppose 11*z - 12*z = -412. Suppose 0 = -7*l + 9*l - z. List the prime factors of l. 2, 103 Let l(y) = -44*y + 4. Let d be l(-2). Suppose -92 = 4*r + d. Let x = -28 - r. List the prime factors of x. 2, 3 List the prime factors of (-16520)/(-18) + 3 + (-26)/(-117). 3, 307 Let n(p) = -6*p + 21. Let w be n(2). What are the prime factors of 4/(-6) + 1725/w + 3? 2, 97 Let g(q) = -4*q + 236. List the prime factors of g(-14). 2, 73 Let v(f) be the first derivative of -2*f**3/3 - 3*f**2/2 - 2*f - 5. Let c be v(-2). List the prime factors of (-28)/c + -1 + -2. 2 What are the prime factors of (-1)/(1/423*15/(-170))? 2, 3, 17, 47 Let h = 813 - 366. List the prime factors of h. 3, 149 Suppose -9*v + 13*v + 1934 = 2*u, 5*u - 5*v - 4840 = 0. List the prime factors of u. 3, 17, 19 Suppose 0 = -2*q - 5*p + 151, -q - 152 = -3*q - 4*p. Let v = q + -22. What are the prime factors of v? 2, 7 Let f(a) = -a**3 + 4*a**2 + 3. Let t be f(4). Let l be 5 + (3 - 2 - 2). Let d = t + l. List the prime factors of d. 7 Suppose -5*u = -2*n + 6*n - 39, 4*n - 33 = -3*u. Suppose -222 = -n*t + 294. List the prime factors of t. 2, 43 Let x = 2907 + -1722. List the prime factors of x. 3, 5, 79 Suppose -3*y = -3*r - 1242, 3*r = 2*y - 2*r - 825. Suppose -15*n = -20*n - y. Let s = -38 - n. List the prime factors of s. 3, 5 Let w(h) = 20*h + 2. Suppose -5*i + 5*r + 35 = 0, 4*r - 1 = -5*i + 16. List the prime factors of w(i). 2, 3, 17 Let l(x) = x + 7. Let w(m) = -3 + 2 + 2. Let s(c) = -l(c) + 3*w(c). What are the prime factors of s(-6)? 2 Let v = -567 - -1603. What are the prime factors of v? 2, 7, 37 Let v(h) = -2*h - 9*h**3 + h**2 + 5*h - 24*h**3 + 1 + 19*h**3. List the prime factors of v(-2). 3, 37 Suppose 15*u - 10*u = 0. Suppose -251 = -4*v - 0*w + 5*w, u = 2*v + w - 115. What are the prime factors of v? 59 Suppose 3*p - 316 = 2*y + p, 301 = -2*y - p. Let d = 233 + y. List the prime factors of d. 2, 5 Suppose 7*d - 2*d = 30. Suppose -151 = -u + x - d*x, u - 154 = -2*x. List the prime factors of u. 2, 3, 13 Let n(x) = x**2 + 5*x + 1. Let y be n(-5). Let r be 10/4 + 6/4. What are the prime factors of 16 + y*(r + -3)? 17 Suppose h + 2*t - 290 = 0, 2*t = -4*h + 388 + 748. Let d be h/(-26) - (-2)/(-13). Let l = 23 + d. List the prime factors of l. 2, 3 Let q(p) = 5*p**2 - 6*p + 10. Let h(m) = 6*m**2 - 7*m + 11. Let z(f) = 6*h(f) - 7*q(f). Let n = -4 + -1. What are the prime factors of z(n)? 3, 7 Let c(l) = 8*l**3 + l**2 - 3*l + 6. Suppose 11 = 3*n + 5. What are the prime factors of c(n)? 2, 17 Let z(n) = 4*n**3 + 6*n**2 + 9*n - 11. Let k(i) = -i**3 - 2*i**2 - 3*i + 4. Let w(b) = 7*k(b) + 2*z(b). List the prime factors of w(3). 2, 3 Let u = -84 - -343. What are the prime factors of u? 7, 37 Suppose 7*v = 2*v - 45. Let y be 30/v*12/(-5). What are the prime factors of 324/33 - y/(-44)? 2, 5 Suppose 0 = 5*v + 2*w - 110, 2*v = 3*v + w - 22. Let f = 95 - v. What are the prime factors of f? 73 Let a(j) = 96*j**2 + j. Let l be a(1). Let i = l + -59. List the prime factors of i. 2, 19 Suppose 3*z = -6*i + 8*i - 565, 3*z + 852 = 3*i. List the prime factors of i. 7, 41 Let b(c) = -12*c**3 + 8*c - 4. Let h be b(-4). List the prime factors of 3/(((-6)/h)/((-1)/3)). 2, 61 Let w = 3700 + -2406. What are the prime factors of w? 2, 647 Let b be 3/(-6)*-14*1. Let d(f) = -7 + b - 1 + 4*f - f**2. List the prime factors of d(2). 3 Let f(d) = -2*d**3 - 8*d**2 - 2*d + 36. List the prime factors of f(-8). 2, 3, 47 Let q be 6*32/6*1. Let n = 18 - 10. Suppose -n*h + q = -4*h. List the prime factors of h. 2 Let a = 1270 + -469. List the prime factors of (64/48)/(3/(a/2)). 2, 89 Let h = -27 - -31. Suppose 0 = 2*o + o + h*m - 249, 2*m - 168 = -2*o. What are the prime factors of o? 3, 29 Let z be 8/12 + -26*1/(-6). Suppose -t + 2*l = -51, z*t - 237 = -0*l + l. List the prime factors of t. 47 Suppose 8 = c + 5. Suppose c*d - 116 = 127. What are the prime factors of d? 3 Let r(o) be the third derivative of o**6/120 + o**5/5 - o**4/6 + o**3/6 - 31*o**2. List the prime factors of r(-11). 2, 83 Suppose 2*o = 4*z - 8 + 30, 2*o - 22 = -z. Suppose 5*d - 4*d - v = o, -3*v = 2*d - 22. List the prime factors of d. 11 Let c be (-1)/2*0/4. Let v(q) = q**3 + q + 4. Let u be v(c). Suppose -2*r + 26 = -u. What are the prime factors of r? 3, 5 Suppose 21 = 3*l - 3*o, -3*l + 8*l - o = 27. Suppose l*b - 420 = 3*b. List the prime factors of b. 2, 3, 5, 7 Let b = -32 - -23. List the prime factors of b/(-6) + (-90)/(-4). 2, 3 Suppose 4 = -13*h + 14*h. Suppose h*v - 177 = -3*m, 3*v - 204 = -3*m + 8*v. What are the prime factors of m? 3, 7 Let x be -4 + -2 + 4 + -1. List the prime factors of (24/(-15))/(x/90). 2, 3 Suppose 20*a + 43795 = 39*a. List the prime factors of a. 5, 461 Suppose 0 = 2*p + 2. Let a(g) = -64*g**2 - g. Let k be a(p). Let q = -30 - k. What are the prime factors of q? 3, 11 Let i be (4 + -121 + -5)/1. List the prime factors of (-3)/12*1 + i/(-8). 3, 5 Let j(d) be the first derivative of -15*d**2/2 + d + 27. Suppose -v + 2*l = -6, -4*v + 3*l + 1 = 2. List the prime factors of j(v). 61 Let w be (3/(-9))/((-3)/18). Suppose -8*s = -w*s - 264. What are the prime factors of s? 2, 11 Suppose 5*d = -5 - 0, 0 = -i - 3*d - 1. Suppose -3*j + i*q - 14 = 0, 2 - 4 = 3*j + q. What are the prime factors of ((j - 2) + -55)/(-1)? 59 Let d(t) = -t**2 - 13*t - 1. Let s be d(-13). List the prime factors of ((-15)/60)/(s/236). 59 Let s = 0 + -7. Let g = -2 - s. Suppose -3*a + 7 = v - 2*a, -5*v = -g*a - 85. What are the prime factors of v? 2, 3 Let p(v) = 5*v**2 - 2*v - 3. Let h be (1/(-3))/(4/24). Let l be -2 - (h + 2 + 1). List the prime factors of p(l). 2, 3 Let y be (3/2)/((-3)/(-72)). Suppose -2*b = 4*g - 10, -g + 2*b = 4*b + 2. Suppose 5*u + 5*w = 60, 24 = 5*u + g*w - y. What are the prime factors of u? 2, 3 Let k(j) = 6*j**2 - 14*j + 42. Let b be k(5). Suppose 4 = 6*o - b. List the prime factors of o. 3, 7 Let c(i) = -3*i**3 + i**2 - i + 1. Let z be c(1). Let x = z + -2. List the prime factors of (224/(-10))/x*5. 2, 7 Suppose -2*n = -6*n + 2*x + 2, -3*x + 9 = 0. Suppose -3*o + n*z + 9 = -0*z, -15 = -5*o + 4*z. Suppose -25 - 11 = -o*w. List the prime factors of w. 2, 3 Let z = -71 - -56. Let l = z - -126. List the prime factors of l. 3, 37 List the prime factors of 6/84*57356 - (-7)/49. 17, 241 Let r be (4/(-16) - -1)*4. Suppose r*f + 4*o = -f + 248, -o = 4*f - 242. Let d = -42 + f. List the prime factors of d. 2, 3 Suppose 75*z - 5384 = 67*z. List the prime factors of z. 673 Suppose 0 = 5*u - 33 + 13. Suppose 2*q = -5*i + 153, -q + u*i - i = -104. List the prime factors of q. 89 Suppose 5*h - 25 = 0, -h + 477 - 73 = o. What are the prime factors of o? 3, 7, 19 Let x = 3300 - -62. What are the prime factors of x? 2, 41 Suppose -h + 3*o + 958 = 0, 5*h = -28*o + 33*o + 4840. What are the prime factors of h? 7, 139 Let i = 2505 + 830. What are the prime factors of i? 5, 23, 29 Suppose 0 = -4*k + k - 36. Let t = 6 + k. Let u = 11 + t. List the prime factors of u. 5 Let r be 0 + 4 + (2 - 1). Let j be 4792/24 + 1/3. Suppose -r*d + j = -0*d. What are the prime factors of d? 2, 5 Suppose -3073 = -1285*u + 1284*u. What are the prime factors of u? 7, 439 Let u = 28 - 18. Suppose -u*q = -13*q + 162. What are the prime factors of q? 2, 3 Let p be -5*(0*(0 + -1) - 1). Suppose 355 = 5*o + 5*c, -p*c + 54 + 9 = o. What are the prime factors of o? 73 Suppose 0 = 5*j - 4*b - 1000 - 55, j + 4*b = 187. What are the prime f
{ "pile_set_name": "DM Mathematics" }
288)*-2)*4. sqrt(19)/9 Simplify (1 + 3 + sqrt(1053)*2*-3)**2*-2. -75848 + 864*sqrt(13) Simplify (sqrt(91)/(2*sqrt(7)*-1) - 4*(sqrt(1573) + sqrt(1573) + 2))**2*2. 2832*sqrt(13) + 407533/2 Simplify (sqrt(2016) + 1*sqrt(2016)*3)/(-6*(sqrt(112) + sqrt(112)*3) + sqrt(112)). -12*sqrt(2)/23 Simplify ((6*sqrt(104) + sqrt(104))*-6)/(sqrt(32)/(sqrt(12)/sqrt(3))). -42*sqrt(13) Simplify -6*sqrt(8)/sqrt(4)*2 + (0 + sqrt(72))**2*-4. -288 - 12*sqrt(2) Simplify (sqrt(160) + 6*3*sqrt(160))/(sqrt(24)/(sqrt(768)*-3)). -1824*sqrt(5) Simplify ((4*-2*sqrt(420))/sqrt(12))/((2*sqrt(70)*1)/sqrt(10)) + 5. -4*sqrt(5) + 5 Simplify -4*6*(-1 + sqrt(200)) - (-3*(2 + sqrt(2)) + (sqrt(4) + sqrt(36))/sqrt(2)). -241*sqrt(2) + 30 Simplify ((4*sqrt(2016) - sqrt(2016)) + sqrt(2016))/(4*(sqrt(128) + sqrt(8))). 6*sqrt(7)/5 Simplify (2*((sqrt(126)*2 - sqrt(126)) + sqrt(126)))/(sqrt(112)*2*3). sqrt(2)/2 Simplify (6*(sqrt(68) - (-1*-1*sqrt(68) - sqrt(68))))/((sqrt(360)*5)/sqrt(10)) + 1. 1 + 2*sqrt(17)/5 Simplify 2 + sqrt(320) + -2 - (4*sqrt(500))**2*-4. 8*sqrt(5) + 32000 Simplify (-1*((-2 + sqrt(272))*1 - (sqrt(272) + 0)*1))**2. 4 Simplify (3 + sqrt(128)*-4 + 6*sqrt(128)*-2)**2. -768*sqrt(2) + 32777 Simplify (sqrt(36)/(((-2*sqrt(132) - sqrt(132)) + sqrt(132))/sqrt(11)) - -1*5*sqrt(27))**2. 2523/4 Simplify -2 + ((sqrt(52)/(5*sqrt(196)))**2 - (sqrt(91)/((sqrt(7) + sqrt(21)/sqrt(3))*6))**2). -366853/176400 Simplify (2*sqrt(1152)*6)/(-1*sqrt(81) + 2*sqrt(36)/sqrt(4)). -96*sqrt(2) Simplify (sqrt(140)/(sqrt(77)/(sqrt(55)/sqrt(5))) + sqrt(200)/(sqrt(30)/sqrt(3)) + -1)**2. -8*sqrt(5) + 81 Simplify -4*(1*2*sqrt(171) - (sqrt(171) + 5 + sqrt(171)*-2))**2. -6256 + 360*sqrt(19) Simplify -3*(sqrt(280)/(sqrt(8)*2*1))/((sqrt(80) - -6*(sqrt(80)*-1 + sqrt(80))) + sqrt(80)). -3*sqrt(7)/16 Simplify (6*(-4 + sqrt(51)/(3*sqrt(48)) + 0))**2. -24*sqrt(17) + 2321/4 Simplify -2 + -1*(sqrt(192) - sqrt(192)*2*6 - sqrt(192)). -2 + 96*sqrt(3) Simplify -2*(((-2*sqrt(243) - sqrt(243)) + 5)**2 + ((-2*sqrt(243) - sqrt(243)) + sqrt(243))**2*6)*-2. -1080*sqrt(3) + 32176 Simplify (sqrt(1620)*-2 - 4*(sqrt(45) + sqrt(90)/sqrt(2)))/(sqrt(54)/(sqrt(6) + (sqrt(6) - sqrt(96))*-4)). -260*sqrt(5) Simplify 4 + -5*(1 + -2*sqrt(11))*4. -16 + 40*sqrt(11) Simplify sqrt(44) + (sqrt(484) - sqrt(484)*-6)/sqrt(11) + (1 + sqrt(11)*-3 + 1)**2. 4*sqrt(11) + 103 Simplify ((1*sqrt(209) + sqrt(209) - sqrt(209))*3)/(sqrt(66)/sqrt(216))*-5. -90*sqrt(19) Simplify 2 + ((5 + 2 + sqrt(1100) - sqrt(1100))**2 + sqrt(1100) - (sqrt(1100) - (-2 + -2*sqrt(1100) + sqrt(1100)))) + -3. -10*sqrt(11) + 46 Simplify 0 + ((-4 + -3*sqrt(1539) + 0)*-5)**2. 5400*sqrt(19) + 346675 Simplify (4*(sqrt(700) + 4)*4 + 1*((sqrt(700) - sqrt(700)*-4) + 3))**2. 28140*sqrt(7) + 313189 Simplify 5*(-1*(sqrt(1331) + 1 - sqrt(1331)) + sqrt(1331) + 0 + 0 + -2)**2. -330*sqrt(11) + 6700 Simplify (-4*(sqrt(275)*-2 + -1))**2 - ((sqrt(275) + 4)**2 + -2 + -1). 280*sqrt(11) + 17328 Simplify (4*sqrt(240))/(sqrt(144)/(sqrt(588) + sqrt(12))). 64*sqrt(5) Simplify 2 + sqrt(20)*1 + 4 + (sqrt(20) + 1)**2 + sqrt(20) + 5*(-3 + (sqrt(320) - sqrt(20)))**2. -172*sqrt(5) + 972 Simplify -2 + sqrt(44)/sqrt(4)*6 - ((sqrt(275) - (sqrt(275) + sqrt(275) + -1)*-4) + sqrt(275))**2. -27518 + 406*sqrt(11) Simplify (5*(sqrt(48)*-2*2 + sqrt(30)/(sqrt(60)/(sqrt(6)*2))))**2. 14700 Simplify (4*(sqrt(22)*-2 + sqrt(22)) + sqrt(22))/(sqrt(11) + (sqrt(11) - -3*sqrt(99))) + -5. -5 - 3*sqrt(2)/11 Simplify (-1*(sqrt(102) + sqrt(102) + sqrt(102) + (-2*sqrt(102) - sqrt(102))) + sqrt(102) + -2*sqrt(102)*3 + sqrt(102) + sqrt(102))/(4*(sqrt(24) - sqrt(6))*6). -sqrt(17)/8 Simplify (4 + (sqrt(4235) - -1*sqrt(4235))/(2*sqrt(28)/sqrt(4)))**2. 88*sqrt(5) + 621 Simplify (sqrt(425) + -1)**2 + -3 + sqrt(425) + -2 + sqrt(425) + -5 + 0. 416 Simplify -4 + ((sqrt(440) + -1*((sqrt(440)*2 - sqrt(440)) + sqrt(440) + sqrt(440)) - sqrt(440))/(5*(sqrt(90) - sqrt(10) - sqrt(10)) - sqrt(10)))**2*-2. -107/2 Simplify sqrt(99)/(sqrt(18)/sqrt(2)) + 0 + sqrt(33)/sqrt(3) - ((0 + sqrt(44))**2 + 1). -45 + 2*sqrt(11) Simplify (-1 + sqrt(637) + -2 + sqrt(637) + -3)**2 + 4. -168*sqrt(13) + 2588 Simplify (-4*-2*(sqrt(300) + sqrt(300)*-1 - sqrt(300)))**2 - ((sqrt(300) - (3*(sqrt(300)*1)**2 + sqrt(300) + sqrt(300) - sqrt(300))) + 5). 20095 Simplify (sqrt(2268) - (sqrt(2268) - (1*2*sqrt(2268) + sqrt(2268) - sqrt(2268))))/((sqrt(4) + sqrt(20)/sqrt(20))*-4). -3*sqrt(7) Simplify ((-1*(sqrt(76) + (-1*sqrt(76) - sqrt(76))) + sqrt(76)*-2*3)/(-1*sqrt(4)*4*4))**2. 475/256 Simplify (-2*(sqrt(187) + -4*((sqrt(187) - (sqrt(187) + (sqrt(187) - ((sqrt(187) - sqrt(187)*2) + sqrt(187) - sqrt(187))))) + sqrt(187))))/(sqrt(44)*1*-1). 5*sqrt(17) Simplify 5*1*sqrt(325) + -1 + 5*(sqrt(325) - -6*(2 + sqrt(325))). 59 + 200*sqrt(13) Simplify (-2*sqrt(468)*2 - (sqrt(468) - (sqrt(468) + -1)*2)) + -1 + -1 + sqrt(468) + 3. -12*sqrt(13) - 1 Simplify (-2 + (sqrt(425) + -2)*-6)**2 + 1. -600*sqrt(17) + 15401 Simplify ((-2 + (sqrt(468)*1 - sqrt(468)) + sqrt(468) - 2*sqrt(468)*5) + 4 + 5 + -2*sqrt(468))**2. -924*sqrt(13) + 56677 Simplify (-4 + -1*sqrt(432))*-6 - (-5 + sqrt(432) + (sqrt(432) + 1)**2 + -3). -401 + 36*sqrt(3) Simplify (sqrt(77) + -6*(sqrt(77) - (sqrt(77) - -5*sqrt(77) - sqrt(77))) - sqrt(77))/(sqrt(6655)/sqrt(5)). 24*sqrt(7)/11 Simplify 2*(0 + 2*sqrt(5))**2*-2 - 4*((-1 + sqrt(80))**2 + -2). -396 + 32*sqrt(5) Simplify (sqrt(27) + (1*sqrt(135) - sqrt(135))/sqrt(5) - sqrt(27))/(sqrt(864)/sqrt(6)). 0 Simplify ((sqrt(234)*-1*3)/((sqrt(72) - sqrt(72)*2)/sqrt(4) - sqrt(18)))**2. 117/4 Simplify (sqrt(576)*-5)/(sqrt(12) - sqrt(192)/sqrt(4))*2. 40*sqrt(3) Simplify (((sqrt(136) - (sqrt(136) + -2*sqrt(136)))*3)/(sqrt(8) - sqrt(392)*1))**2*5. 85 Simplify (-1*(1 + sqrt(20)/sqrt(10))**2 + 2)*-3 + -1. 2 + 6*sqrt(2) Simplify -2 + -6*(-2*(-5*sqrt(170)*3 - sqrt(170))/sqrt(10))**2. -104450 Simplify ((sqrt(270)*-3)/(sqrt(6) + sqrt(72)/(sqrt(48)/sqrt(4))))**2 + 4 + 1. 425/4 Simplify (2 + ((sqrt(153) - -3*(sqrt(153) + -1*sqrt(153) + sqrt(153)) - sqrt(153)) + sqrt(153))/(1*sqrt(144)) + 2)**2. 8*sqrt(17) + 33 Simplify 4 + sqrt(49)/(sqrt(7)*1)*4 + 2 + -4. 2 + 4*sqrt(7) Simplify -4*(sqrt(1539)*1 + -4) + -3. -36*sqrt(19) + 13 Simplify 2 + ((1 + sqrt(1100) + 4)*-3*4)**2. 14400*sqrt(11) + 162002 Simplify (3 + (sqrt(133)*1*2)/sqrt(7))**2 - (-5*sqrt(133)*-2)/sqrt(7)*-4. 85 + 52*sqrt(19) Simplify ((-2*sqrt(162) + sqrt(162) + sqrt(162))*4 + sqrt(162)*2*5 + sqrt(162) + sqrt(162) - (sqrt(162) - (1 + 1*sqrt(162)))*-3)**2. -648*sqrt(2) + 23337 Simplify 0 + (-3*(1 + sqrt(1100)))**2 + (-2 + 3*sqrt(11) - (sqrt(891) + -1)). 174*sqrt(11) + 9908 Simplify -6*((-3*sqrt(208) - ((4*sqrt(468))**2 + sqrt(13))) + 0). 78*sqrt(13) + 44928 Simplify ((sqrt(52) - (sqrt(1300) + -2) - 3*(sqrt(13) + -2 + 0))*-1)**2. -176*sqrt(13) + 1637 Simplify 4*-3*-4*(sqrt(1300) + 1 + sqrt(1300) - sqrt(1300))**2 + 2. 960*sqrt(13) + 62450 Simplify (((sqrt(136) + sqrt(136)*-3)/sqrt(8) + 3 + sqrt(153))*-3 + -3 + 4)**2. 48*sqrt(17) + 217 Simplify 1*(-3 + ((sqrt(2) + -1*sqrt(8)/sqrt(4))*6 + (sqrt(50) + sqrt(50)*1)*-2)**2). 797 Simplify -4*(-3*5*-5*sqrt(704)*-2)**2*6. -380160000 Simplify (4*(((sqrt(27)*-1)/sqrt(3))/(sqrt(3) + (sqrt(15)/(sqrt(5)*-3) - sqrt(3))) + 5))**2. 480*sqrt(3) + 832 Simplify 6*(sqrt(1573) - (-1*sqrt(1573)*-1)**2 - sqrt(1573) - (2 + sqrt(1573))*3). -9474 - 198*sqrt(13) Simplify -4*(sqrt(3)*1 + -4 - (sqrt(147)*2)**2 - (sqrt(15)/sqrt(5)*2 + 5)). 4*sqrt(3) + 2388 Simplify (sqrt(91)*2*-6*5)/(sqrt(21)/(sqrt(12)/sqrt(4))*-2). 30*sqrt(13) Simplify (2*(0 + sqrt(539))*3 + -4)*3. -12 + 126*sqrt(11) Simplify ((3*sqrt(440))/sqrt(8))/(-4*2*sqrt(5)) + 5. -3*sqrt(11)/8 + 5 Simplify 5 + (4 + 3*sqrt(363))**2 + sqrt(363) + ((sqrt(363) + 2)**2*-5 - sqrt(363)). 44*sqrt(3) + 1453 Simplify -2*((sqrt(405) + sqrt(405)*2)*2 - sqrt(405)) - (-3*2*-3*sqrt(405))**2. -131220 - 90*sqrt(5) Simplify (-3*(sqrt(76) - 1*sqrt(76)) - 6*(sqrt(76) + sqrt(76)*2 + sqrt(76)))/((6*sqrt(20)*-2)/sqrt(5)). 2*sqrt(19) Simplify (-2*((sqrt(130)*3 - sqrt(130))*-1 - sqrt(130)))/(sqrt(40)/(sqrt(24)/(sqrt(6) - (sqrt(6) - sqrt(36)/sqrt(6))))). 6*sqrt(13) Simplify -1 + (-1 + 2 + ((sqrt(240)/sqrt(4))/sqrt(10))/((-1*sqrt(9))/sqrt(3)))**2. -2*sqrt(2) + 2 Simplify ((3*(sqrt(50)*-1 - sqrt(50)))/(sqrt(80)/sqrt(2)))**2 + -2. 43 Simplify (6*(sqrt(5)*1 + sqrt(5) - sqrt(5))*5 + 4 + 6*((sqrt(605) - (
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {n: 1, z: 4, v: 7, i: 3, k: 1}. Give prob of picking 1 k, 1 n, and 2 i. 3/1820 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 5, e: 3}. 15/28 Calculate prob of picking 3 k and 1 f when four letters picked without replacement from occckjkfcck. 1/330 What is prob of picking 1 c, 1 a, and 1 o when three letters picked without replacement from cajbcov? 2/35 What is prob of picking 1 i and 2 z when three letters picked without replacement from qziuqizsqssssqqzqqq? 2/323 What is prob of picking 1 i and 3 s when four letters picked without replacement from {s: 5, t: 4, a: 1, i: 3, f: 3, g: 1}? 3/238 Three letters picked without replacement from bxvyqqqbrby. What is prob of picking 1 x, 1 b, and 1 q? 3/55 Calculate prob of picking 1 n, 1 d, and 1 h when three letters picked without replacement from {q: 5, d: 3, n: 3, j: 1, h: 1, o: 2}. 9/455 What is prob of picking 3 i and 1 t when four letters picked without replacement from iifutiifttfutif? 8/273 Two letters picked without replacement from {p: 3, w: 2, f: 3, q: 1, c: 6}. What is prob of picking 2 c? 1/7 Three letters picked without replacement from {n: 1, m: 1, r: 8, x: 9}. Give prob of picking 1 m, 1 n, and 1 r. 8/969 What is prob of picking 1 k and 1 j when two letters picked without replacement from jjjqjpqjkkkkkjkqkq? 14/51 Three letters picked without replacement from uuuuuuuuuyuuu. What is prob of picking 3 u? 10/13 Calculate prob of picking 1 b, 2 o, and 1 q when four letters picked without replacement from {q: 1, b: 6, k: 3, o: 3, m: 2, d: 5}. 6/1615 Calculate prob of picking 2 m and 2 k when four letters picked without replacement from zzmmbzkzzmkkmkzkmmzk. 15/323 Three letters picked without replacement from lrrmlrprmrlmlprlprb. What is prob of picking 1 r and 2 l? 70/969 Four letters picked without replacement from ymmybbybymbbbmbbbbb. Give prob of picking 4 y. 1/3876 What is prob of picking 2 q and 2 g when four letters picked without replacement from {g: 8, q: 2}? 2/15 Four letters picked without replacement from {l: 2, i: 3, o: 3, g: 5, q: 1, e: 1}. Give prob of picking 1 e, 2 g, and 1 o. 2/91 Calculate prob of picking 1 n and 3 q when four letters picked without replacement from {q: 7, l: 8, g: 3, n: 2}. 14/969 Calculate prob of picking 4 b when four letters picked without replacement from fffssbffffbsfbbsbbf. 5/1292 Four letters picked without replacement from uacnntf. What is prob of picking 1 t, 1 a, 1 c, and 1 n? 2/35 Calculate prob of picking 1 e, 1 v, and 1 t when three letters picked without replacement from vcete. 1/5 Four letters picked without replacement from {l: 2, o: 1, u: 1, v: 2, r: 7, q: 4}. What is prob of picking 1 q, 1 l, 1 u, and 1 r? 2/85 Calculate prob of picking 3 r when three letters picked without replacement from vvvrvrvrvvvvvrvvvr. 5/408 Calculate prob of picking 3 j when three letters picked without replacement from jfjjjjjjjjjjjjjjfjfj. 34/57 Calculate prob of picking 1 n, 1 u, and 1 v when three letters picked without replacement from {g: 3, k: 1, e: 6, v: 2, n: 1, u: 2}. 4/455 Two letters picked without replacement from ymyyxmybybyy. What is prob of picking 1 y and 1 m? 7/33 Calculate prob of picking 2 h, 1 f, and 1 d when four letters picked without replacement from {h: 4, d: 3, i: 3, k: 8, f: 1}. 3/646 Calculate prob of picking 3 r when three letters picked without replacement from {r: 4}. 1 Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qddxqddddzdggzzqdzg. 1/57 Four letters picked without replacement from pppppppppp. Give prob of picking 4 p. 1 What is prob of picking 1 v and 1 q when two letters picked without replacement from hdvhqbvqw? 1/9 Calculate prob of picking 2 f when two letters picked without replacement from fooff. 3/10 Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {z: 1, w: 1, n: 1, k: 2, a: 1, o: 1}. 1/35 Two letters picked without replacement from zhkhhkhahkhhadhahda. Give prob of picking 1 h and 1 z. 1/19 Calculate prob of picking 2 d and 1 k when three letters picked without replacement from {d: 4, k: 7}. 14/55 Two letters picked without replacement from {g: 6, e: 4, f: 1, y: 5}. What is prob of picking 1 g and 1 e? 1/5 Two letters picked without replacement from ukuuuuuukuu. What is prob of picking 2 k? 1/55 What is prob of picking 2 h when two letters picked without replacement from {h: 3, c: 2}? 3/10 Two letters picked without replacement from wwqggwgjlwwg. What is prob of picking 1 w and 1 j? 5/66 Calculate prob of picking 1 p and 2 r when three letters picked without replacement from rragrrugerepu. 5/143 What is prob of picking 4 g when four letters picked without replacement from {q: 4, i: 2, g: 7, u: 1, a: 1}? 1/39 What is prob of picking 1 f and 2 r when three letters picked without replacement from {r: 4, f: 2}? 3/5 Calculate prob of picking 1 s and 3 e when four letters picked without replacement from {s: 2, e: 4, c: 1, j: 2}. 4/63 What is prob of picking 2 u when two letters picked without replacement from {l: 8, t: 2, u: 4}? 6/91 What is prob of picking 1 a and 1 m when two letters picked without replacement from {m: 1, l: 1, z: 1, a: 2}? 1/5 Calculate prob of picking 2 d when two letters picked without replacement from byyybrbsddyytyb. 1/105 Four letters picked without replacement from {k: 1, x: 6, t: 1, h: 2, f: 2, w: 3}. Give prob of picking 2 x, 1 w, and 1 f. 6/91 Four letters picked without replacement from wwweweewwwe. What is prob of picking 4 w? 7/66 Two letters picked without replacement from {l: 1, y: 1, h: 3, d: 5}. Give prob of picking 2 d. 2/9 Four letters picked without replacement from {y: 5, s: 1, k: 7}. Give prob of picking 2 k, 1 y, and 1 s. 21/143 Four letters picked without replacement from frkfzwf. Give prob of picking 1 z, 2 f, and 1 w. 3/35 Four letters picked without replacement from {v: 3, e: 3, b: 2}. Give prob of picking 2 e, 1 v, and 1 b. 9/35 Calculate prob of picking 1 k, 1 q, and 1 l when three letters picked without replacement from {q: 2, l: 8, k: 2}. 8/55 Two letters picked without replacement from xzz. What is prob of picking 2 z? 1/3 What is prob of picking 1 t and 2 v when three letters picked without replacement from {v: 5, t: 2, q: 8}? 4/91 Calculate prob of picking 2 q when two letters picked without replacement from qgqqqqqqqgqq. 15/22 Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {c: 3, r: 1, f: 2, p: 4, w: 4, m: 1}. 4/105 What is prob of picking 1 l and 1 t when two letters picked without replacement from {b: 2, t: 4, l: 1, j: 4}? 4/55 Four letters picked without replacement from {q: 6, m: 7}. Give prob of picking 4 q. 3/143 What is prob of picking 2 w and 2 b when four letters picked without replacement from {w: 2, b: 4, i: 1}? 6/35 What is prob of picking 2 n and 2 k when four letters picked without replacement from nkpknnknknnkknnkknn? 105/323 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {o: 1, l: 1, n: 2, r: 2, p: 2, d: 1}. 1/18 Four letters picked without replacement from {g: 3, u: 5}. Give prob of picking 3 g and 1 u. 1/14 Calculate prob of picking 2 z and 1 o when three letters picked without replacement from zzzzoozzzzzzzoz. 198/455 Three letters picked without replacement from popcopp. Give prob of picking 3 p. 4/35 Calculate prob of picking 3 u when three letters picked without replacement from yucmuueycuyycmcmyc. 1/204 What is prob of picking 1 h and 1 x when two letters picked without replacement from wxpxrxxhpwxxxxvpxx? 10/153 Calculate prob of picking 1 b, 1 e, and 1 h when three letters picked without replacement from ecohbheo. 1/14 Three letters picked without replacement from {t: 5, z: 11}. What is prob of picking 1 z and 2 t? 11/56 What is prob of picking 1 e and 1 y when two letters picked without replacement from deeyedddeddeeud? 2/35 What is prob of picking 2 r when two letters picked without replacement from rrararrrra? 7/15 What is prob of picking 3 e when three letters picked without replacement from ebbfbwbwsewbefo? 1/455 Two letters picked without replacement from {d: 1, p: 1, g: 3, b: 1, s: 1}. Give p
{ "pile_set_name": "DM Mathematics" }
2101110022212 (base 3) to base 13 -1779272 Convert 15a81b (base 13) to base 3. 1000022020100 -e002 (base 15) to base 6 -1002432 80951 (base 12) to base 8 506515 -1ab4b8 (base 15) to base 8 -4762417 263253 (base 7) to base 2 1100000000100001 What is -8957 (base 13) in base 7? -106613 Convert -e49c66 (base 15) to base 7. -161236662 What is 1332321033 (base 5) in base 16? 33e6b1 51532 (base 9) to base 13 125cc Convert 39606 (base 10) to base 5. 2231411 What is -221001022210 (base 3) in base 14? -cb973 Convert 1211021020 (base 3) to base 10. 35916 Convert -121830b (base 13) to base 14. -a62946 What is -40350264 (base 7) in base 9? -6275523 What is -6ab4a (base 15) in base 12? -144951 12002022112021 (base 3) to base 5 1142442123 What is 257650 (base 8) in base 15? 1ba19 1010012110110 (base 3) to base 6 20424103 What is 171474 (base 10) in base 12? 83296 What is 1024110331 (base 5) in base 12? 88b118 153615161 (base 7) to base 14 15325a1 Convert -143424614 (base 7) to base 12. -321544b Convert -182df0 (base 16) to base 6. -53544120 -56771 (base 9) to base 5 -2202220 What is -481598 (base 11) in base 16? -ba5ef 139a280 (base 11) to base 8 11117573 7250 (base 10) to base 6 53322 What is -423111400 (base 5) in base 2? -110110000000010000000 What is -4448018 (base 11) in base 13? -18011c4 What is 121a4a (base 11) in base 3? 100210122111 35446 (base 12) to base 13 266c4 1002402323 (base 5) to base 13 54c0aa What is 605622 (base 7) in base 8? 310723 What is 141220 (base 10) in base 15? 2bc9a 21100222120 (base 3) to base 15 2cea9 Convert 393252 (base 11) to base 5. 124303324 Convert -5184a9 (base 13) to base 14. -377945 What is -5020b7 (base 13) in base 15? -26b624 What is 13766 (base 13) in base 10? 36419 What is -278bd (base 14) in base 15? -1de85 Convert 1321443 (base 7) to base 9. 283823 Convert -420142144 (base 5) to base 14. -32c750 Convert 15630467 (base 8) to base 9. 6722626 What is -111321302113 (base 4) in base 7? -66542464 Convert -34a332 (base 11) to base 12. -229515 Convert 297800 (base 11) to base 4. 1301110130 -33523221 (base 7) to base 14 -55bb11 -3340044 (base 5) to base 11 -40181 -8507036 (base 9) to base 16 -4574e5 Convert -2330332103 (base 5) to base 4. -110103303330 -1021534210 (base 6) to base 11 -6068068 -567250 (base 11) to base 8 -3343073 Convert -11100110100001000 (base 2) to base 15. -24e84 Convert 3005211 (base 6) to base 4. 202131013 What is 3522074 (base 9) in base 16? 1d0e57 What is 4103451 (base 6) in base 11? 123746 What is -1000100011001000 (base 2) in base 10? -35016 -5525324 (base 6) to base 12 -113844 Convert -3615085 (base 9) to base 7. -22436036 Convert 871b24 (base 15) to base 13. 144415c Convert -11014224 (base 6) to base 8. -1202210 -104220515 (base 7) to base 4 -113323300112 What is -64023 (base 8) in base 5? -1323033 -2501035 (base 7) to base 6 -10504034 -d2d55 (base 16) to base 5 -210113243 What is -230330053 (base 6) in base 14? -7c029b What is 1053232 (base 7) in base 12? 63844 What is -230170 (base 8) in base 4? -103001320 What is -101002 (base 3) in base 16? -110 What is 125344 (base 6) in base 13? 5371 Convert -41424101 (base 5) to base 13. -bcb07 418563 (base 11) to base 16 a39d7 Convert 2c89c (base 13) to base 15. 1a297 2ac1d6 (base 14) to base 12 6000a8 What is 21132213 (base 4) in base 12? 1a573 Convert -c737 (base 14) to base 9. -52105 -21433300 (base 5) to base 10 -186700 Convert 5463041 (base 10) to base 2. 10100110101110000000001 -1472172 (base 8) to base 5 -102014114 154b253 (base 13) to base 5 3221301331 -32012320112 (base 4) to base 11 -20a6569 Convert 10423444024 (base 5) to base 13. 2513908 7c2cd (base 15) to base 9 662484 What is 20303131123 (base 4) in base 5? 1042323211 Convert 405144 (base 6) to base 16. 7df8 Convert -1622aa (base 11) to base 3. -110210120102 Convert -91c76 (base 14) to base 8. -1255340 What is -1130464 (base 7) in base 15? -2c0a1 What is -6074246 (base 8) in base 13? -441c85 Convert -33432332 (base 5) to base 14. -79c07 Convert 133414514 (base 6) to base 16. 2916ee Convert -2b83e1 (base 15) to base 5. -1014303021 What is -122501146 (base 7) in base 2? -11101011111100110111110 -1110001101010110111001 (base 2) to base 3 -21000020100221 2700630 (base 8) to base 14 158b44 Convert -41533143 (base 6) to base 11. -757000 Convert -1502001005 (base 6) to base 9. -37842265 What is -46023 (base 7) in base 5? -333204 231031113110 (base 4) to base 16 b4d5d4 What is 242685 (base 9) in base 13? 51809 What is 501086 (base 16) in base 4? 110001002012 Convert 4044424 (base 9) to base 3. 11001111110211 1444018 (base 10) to base 2 101100000100010110010 Convert 1001101000101010100 (base 2) to base 10. 315732 Convert -1222111222202 (base 3) to base 6. -34324502 Convert 8b277 (base 13) to base 12. 10256b Convert -100102203332 (base 4) to base 11. -2457402 What is -96a25 (base 11) in base 3? -21011101221 What is 2dc10c (base 16) in base 2? 1011011100000100001100 1634236 (base 13) to base 9 14406141 What is 167627 (base 8) in base 7? 343551 Convert 10495 (base 14) to base 5. 2224311 Convert 15454131 (base 6) to base 14. 1050c7 What is -49488b (base 12) in base 5? -301040443 What is -5745 (base 11) in base 16? -1d7f What is -1615992 (base 10) in base 4? -12022201320 507b3d (base 16) to base 3 100220222011020 10314033 (base 5) to base 16 15a43 What is 7e5cd7 (base 15) in base 14? b34972 -212220331 (base 4) to base 3 -22001002211 Convert -369b6 (base 16) to base 13. -7aa65 Convert -b5c7d (base 15) to base 2. -10001100110000111000 4063827 (base 9) to base 13 5aba46 421300220 (base 5) to base 4 12221233002 What is 299746 (base 11) in base 7? 3652531 What is 11100112122010 (base 3) in base 13? 6300a8 Convert -144441242 (base 5) to base 3. -1110200002100 Convert -2301130103 (base 4) to base 6. -23324455 What is 3321222031 (base 5) in base 6? 414315431 Convert 549218 (base 12) to base 2. 101000111110111110100 -1709111 (base 13) to base 7 -120200630 Convert -1ad2a7 (base 15) to base 13. -36b416 Convert 108655 (base 9) to base 11. 45170 171a556 (base 11) to base 10 2927535 8a58b (base 16) to base 12 233b23 What is -460e5 (base 16) in base 10? -286949 Convert 1284074 (base 9) to base 2. 10101100000111110010 What is 2121020032 (base 4) in base 15? c5c94 Convert -4389 (base 11) to base 15. -1aa9 Convert -552211 (base 10) to base 4. -2012310103 Convert -62327 (base 13) to base 4. -223002230 2b15220 (base 13) to base 7 225052241 -30432314 (base 5) to base 7 -2055123 What is -110001000111221 (base 3) in base 16? -619da7 What is -100243040 (base 5) in base 11? -253398 Convert 12439c (base 13) to base 11. 279a56 What is 1024563 (base 7) in base 10? 124113 What is 117a431 (base 12) in base 15? 471b91 237972 (base 10) to base 4 322012110 -702a (base 15) to base 10 -23665 -11210312312 (base 4) to base 14 -2a0982 13302212 (base 8) to base 11 1758234 Convert -10d6e (base 15) to base 14. -157a6 Convert -2263c0 (base 13) to base 16. -c69f1 Convert 100011111010100110100 (base 2) to base 16. 11f534 What is -524500 (base 7) in base 16? -16156 9c652a (base 13) to base 11 20a6761 Convert -1168a2 (base 12) to base 8. -1045172 What is -234625 (base 11) in base 9? -626376 What is 1d81b6 (base 15) in base 16? 160c20 Convert 1144354 (base 6) to base 13. 21793 What is 14061262 (base 7) in base 15? 1accda Convert 2158400 (base 10) to base 4. 20032331000 What is 101403343 (base 5) in base 7? 3364140 -1537fc (base 16) to base 14 -282aba Convert -202153 (base 7) to base 4. -20121103 What is -331749 (base 12) in base 14? -171a41 -99842 (base 11) to base 13 -50b77 Convert -3332220232 (base 5) to base 7. -116041515 What is 6b220 (base 13) in base 10? 195897 -2e7e9 (base 16) to base 4 -232133221 What is 3a1573 (base 16) in base 11? 216aa37 What is 327256 (base 14) in base 11? a68808 -11600231 (base 10) to base 8 -54200547 -168772 (base 13) to base 5 -120432021 What is 11010110010011101 (base 2) in base 10? 109725 Convert 301220331 (base 4) to base 16. 31a3d Convert 7380841 (base 10) to base 8. 34117551 -5318a88 (base 11) to base 5 -4344230203 Convert 125330111 (base 6) to base 2. 1001100010010110111011 2531523 (base 8) to base 12 2999ab Convert -447013 (base 8) to base 2. -100100111000001011 Convert 3001322112 (base 4) to base 2. 11000
{ "pile_set_name": "DM Mathematics" }
d give n. 0 Express -z**4 + 2*z**2 - 175*z + 175*z - 3*z**3 + 4*z**3 as f*z**3 + p*z**4 + x + b*z + h*z**2 and give p. -1 Express 1 + 22*o**2 + 3 + 2*o - 6 in the form p*o + x + n*o**2 and give p. 2 Express 4*q**2 - 2*q**2 - 4*q**2 + (2*q - 4*q + 3*q)*(2 + q - 2) + 1 - 2*q**2 + 3 - 7 as r + x*q + k*q**2 and give k. -3 Rearrange -2*o**2 + 55*o + 2 - 55*o - 11*o**2 to a*o**2 + t*o + z and give z. 2 Express 4*v**2 + 5*v**3 - v**4 - 6 - 4*v - 7*v**3 + 4*v in the form r*v**4 + y*v**2 + o*v + g*v**3 + f and give g. -2 Rearrange (10 - 8 + h + 5)*((1 + h**2 - 1)*(1 + 0 - 2) - 2*h**2 + 0*h**2 + h**2) to n*h**3 + f*h + i*h**2 + a and give i. -14 Rearrange (141*u**4 + 125*u**4 - 1 - 212*u**4)*(1 + 2 - 5) to the form i*u**4 + l*u**2 + j + x*u + n*u**3 and give n. 0 Express p**4 - 7*p**3 + 7*p**3 + (-2*p + 0*p + p)*(-2*p**3 + 0*p**3 - p**3) as g*p**4 + v*p**2 + u + a*p + w*p**3 and give g. 4 Express -3 + 4*u**2 + 2*u**2 - 3*u**4 + u**3 - 4*u**2 as k*u**3 + h*u**2 + g + w*u**4 + x*u and give g. -3 Express 13 - 6 + 10 + 2*b**2 as z + i*b**2 + x*b and give x. 0 Rearrange (5 - 15 + 45)*(-3*z + 3*z + 2*z**2) + z - z + 3*z**2 to the form d*z**2 + i + m*z and give d. 73 Express 0 + 6*m**2 - 1 + 6*m**2 as z*m**2 + d*m + l and give z. 12 Rearrange 8*a**3 + 4*a**3 - 13*a**3 + 11*a**2 to the form s + l*a**2 + r*a + y*a**3 and give y. -1 Rearrange -5*c**2 + c**2 + c**2 - 3*c**2 + c**2 + c**2 + (-3*c + c + 3*c)*(6 + 2*c - 6) to k*c + x*c**2 + r and give x. -2 Express 3 - 3 - d + 13*d**3 as v*d + h + n*d**2 + g*d**3 and give g. 13 Express 14*s**2 - s + 2*s**3 - 15*s**2 + s**4 + 4*s**4 as g*s**3 + x + d*s + a*s**4 + f*s**2 and give f. -1 Express 2 + 3*i + 0*i**3 - 4*i**3 + 3*i**3 - 3 as l*i + x + h*i**3 + s*i**2 and give l. 3 Express 4*a**2 - 2 + 2 + 1 - 1 - a**2 + (8*a - 4*a**2 - 8*a)*(0 + 2 + 0) in the form g*a**2 + o + c*a and give g. -5 Rearrange k + 212*k**2 - 191*k**2 - k to c*k**2 + p*k + m and give c. 21 Express (d**3 + 2*d**3 - 4*d**3)*(d - 2*d + 3*d + d + 10 - 10 + (-3*d + 2*d + 3*d)*(2 + 0 - 1)) in the form a*d**3 + m*d**4 + j + p*d + y*d**2 and give m. -5 Express 4*w**3 - 972 + 972 + 3*w + 2*w**2 in the form x*w**2 + o*w + b*w**3 + r and give b. 4 Express 45*s - 45*s - 2*s**2 + 7*s**3 + s**2 in the form r*s**3 + c*s + b*s**2 + h and give r. 7 Rearrange 2*b + 0*b + 2*b - 2*b + b**2 to m + a*b**2 + u*b and give a. 1 Rearrange -y**3 - 3*y**2 - 6 + 5*y**2 + 6 + 2*y to the form w*y + t*y**3 + f + v*y**2 and give v. 2 Express -7*x**2 + 19 + 14*x**2 - 4*x**2 in the form i*x**2 + o*x + s and give s. 19 Express 25*j - j + 62*j - 10*j in the form d*j + c and give d. 76 Express (0 + 0 + 3*k)*(3*k**2 - 3*k**2 + 2*k**2 + 30) in the form f*k + j*k**2 + q*k**3 + a and give q. 6 Rearrange (0*z - z**2 + z + 6*z)*(3*z + 5*z - 5*z)*(5 - 5 - 2*z) to f*z**2 + s*z**3 + h*z + x + c*z**4 and give c. 6 Rearrange -8*l**3 + 16*l**3 - 7*l**3 - 5*l**3 + 2*l - l**2 to u*l**3 + j*l + h + q*l**2 and give u. -4 Rearrange 2*g**3 - 5*g + 7*g - 1 + 1 - g**4 to the form r*g**2 + h*g + z*g**3 + o + v*g**4 and give v. -1 Express (4*y + 8*y - 2*y)*(y - 5*y + 3*y) + 3 + 2*y**2 - 3 + 5*y**2 - 3 + 3 + (-3*y + 0*y + 4*y)*(0*y + 2*y - 3*y) in the form z*y**2 + r + i*y and give z. -4 Rearrange -8*c - 3*c - c - c to x + z*c and give z. -13 Express -9 - 9 + 18 + 5*w as j*w + r and give j. 5 Express (-2*p + 1 - 1)*(4*p + 7*p - p) as v*p + u + s*p**2 and give s. -20 Express 2 + 245*q - 36*q**2 - 245*q in the form g*q + j + t*q**2 and give g. 0 Express n**2 + 0 + 1 - n + n + 3*n**3 in the form b*n**2 + l + r*n + i*n**3 and give r. 0 Rearrange (-2 + 0 + 5)*(-58 + 11*m + 58) to w*m + v and give w. 33 Rearrange 16*v**3 + 17 + 0*v - 15 + 8*v**3 + v to r*v + k + h*v**2 + u*v**3 and give u. 24 Express (12 - 12 - 4*i)*(3*i**3 + 3*i**3 - 2*i**3 + (4*i + 0*i - 3*i)*(6*i**2 - 5*i**2 - 2*i**2)) as c*i + l*i**4 + y*i**2 + m*i**3 + a and give l. -12 Express (-12 + 5 - 13)*(4 + d - 4) in the form h*d + a and give h. -20 Express (-4 + 4 - d)*(145 + 251 + 100)*(0*d + 0*d - 2*d**2) as v*d**2 + a + h*d + o*d**3 and give a. 0 Express 54*t + 57*t - 113*t + 1 - 3*t**4 in the form h + a*t**3 + m*t + u*t**4 + r*t**2 and give r. 0 Express (-3*m + 2*m - m)*(1 - 2*m - 1 + (-2 + 2 - 1)*(-m - m + 3*m) + 2*m - m - 4*m + 0*m + 3*m - 2*m) as y + s*m**2 + i*m and give s. 10 Express (0 + 0 - f)*(0*f + 2*f - f) as s + t*f + x*f**2 and give x. -1 Express (-19 + 6*z + 19)*(-6*z + 0*z - 9*z) as w + y*z**2 + p*z and give y. -90 Rearrange 20*w + 13*w + 9*w to k + a*w and give a. 42 Express 2*o**3 - o**3 + o**3 + (4*o - o**2 - 4*o)*(-5 + 4*o + 5) + o**3 + 2 - 2 as g + p*o + r*o**3 + t*o**2 and give p. 0 Express 26*h - h**4 + 1 - h**2 - 26*h + 2*h**3 as f*h + v*h**2 + o*h**4 + m + r*h**3 and give v. -1 Express -2 + 183*c**2 - 2 + 6 in the form i + k*c + t*c**2 and give i. 2 Express -4*f**4 + 1 + 461*f**3 - 461*f**3 - f**2 in the form i*f**2 + s + b*f**4 + g*f**3 + z*f and give b. -4 Express -14 - 2270*r + 2 + 2278*r in the form t + m*r and give m. 8 Express 6*u**2 - 2*u**2 - 2*u**2 + 3*u**2 + 2*u**2 - 2*u**2 + (-2*u - 2 + 2)*(-u - u + u) + 0*u**2 + u**2 + u**2 in the form t*u**2 + r + k*u and give t. 9 Rearrange 6*w**2 - 3*w**2 - w**2 + 4 + 2 to the form g + f*w + x*w**2 and give g. 6 Rearrange -7*m**2 + 3*m**2 - 9*m**2 to q*m + y*m**2 + d and give y. -13 Rearrange -4*q**3 + 0*q**3 + 2*q**3 + (5*q**3 + 2*q**3 - 2*q**3)*(1 - 1 - 4) to the form z*q**2 + n*q**3 + a*q + t and give n. -22 Express 3*b**2 + b**2 - 3*b**2 + (18 - 18 - 7*b)*(-1 + 2*b + 1) + b**2 - 3*b**2 + 3*b**2 as m + h*b**2 + y*b and give h. -12 Rearrange 20*h**2 - 2*h - 9*h**2 - 23*h**2 to the form k*h**2 + y + z*h and give k. -12 Express -9 - 2*b**3 + 5*b - 6*b + 2*b + 2*b in the form d + o*b + q*b**2 + m*b**3 and give d. -9 Rearrange (-4 + 4 - 2)*(3 - 26*y + 3*y - 6) to a*y + w and give a. 46 Express -y + 6*y - 3*y + 4*y as n*y + f and give n. 6 Express 7*n**3 - 1 - n**3 + 3*n**2 + 0*n**3 - n in the form c*n + h*n**3 + r + d*n**2 and give d. 3 Express (5*h**2 - 2*h**2 - h**2)*(5*h - 4*h - 891 + 972) as w*h**3 + d + r*h + z*h**2 and give w. 2 Express -x + 3*x - 6*x + (2*x - 5*x + 4*x)*(-5 + 1 + 2) - 6*x + x + 3*x - 1 - 3*x + 1 as k + w*x and give w. -11 Rearrange (t - 2*t - t)*(46 - 9 + 19) to the form y*t + p and give y. -112 Express -u**2 + 9*u**3 - 2 + 1 + 0*u**2 - 11*u**3 in the form h*u**2 + t*u**3 + z + r*u and give h. -1 Rearrange -11 - 19 + 47 - 19 + 44*k to y + v*k and give y. -2 Express 13*m**2 - m**2 + 44*m**2 - m**2 in the form y*m + z + h*m**2 and give h. 55 Express -3*v + 2*v**2 + 0 + 2*v**4 + 2*v**4 - 3*v**2 + 2 in the form h + c*v + i*v**4 + u*v**2 + l*v**3 and give h. 2 Express 0*o**2 + 4*o**2 + 4*o**2 + 5*o**2 - 4*o in the form k + a*o + v*o**2 and give v. 13 Rearrange 7*i - 15*i + 2*i**3 + 8*i - 10 - 2*i**4 to the form b*i**3 + q*i**2 + g*i + v + p*i**4 and give v. -10 Express -8*x - 22 + 47 - 20 as v + o*x and give o. -8 Rearrange (0 + 1 + 0)*(r + 2*r - r) to o*r + n and give o. 2 Express (15 - 6 - 11)*(0*q**2 - 4*q**2 - 3*q**2) in the form d + k*q**2 + x*q and give k. 14 Rearrange 21*m - 10*m - 1 - 9*m - m to the form g*m + r and give g. 1 Rearrange -2*f**2 + f**4 + 0*f**2 - 4*f**4 + 1 - 4*f**4 to b*f**3 + l*f**2 + a + p*f**4 + j*f and give p. -7 Express -30*c**4 - 40*c**4 + 75*c**4 + 8*c**2 + (-2*c + 3 - 3)*(-2*c**3 + 2*c**3 + c**3) as q*c + o*c**2 + r + j*c**3 + g*c**4 and give g. 3 Express 3 - 58*o**3 + 45*o**3 - 3 + 2*o**2 as n + t*o**2 + r*o**3 + l*o and give n. 0 Rearrange -5*g + 8*g + 3*g + 5*g**3 - 4*g**3 + 2*g**4 to the form w*g**4 + t + r*g + f*g**3 + z*g**2 and give w. 2 Rearrange (144 - 5*i**2 - 14*i**2 - 146)*((-2*i - i + 5*i)*(4 - 2 - 4) - 3*i - 2*i + 3*i) to b*i**2 + h + o*i**3 + d*i and give o. 114 Express -3*y**3 + 33*y - y**4 - 30*y + 6*y**3 - 6*y**2 as p*y**3 + s*y + l*y**2 + q*y**4 + d and give p. 3 Express (3*n**2 - 2*n**2 + 0*n**2)*(20*n + 29 - 31 - 71*n) as f + q*n**3 + d*n + j*n**2 and give j. -2 Express 13*h - 2*h**2 - h**4 - 5*h + h**2 - 5*h in the form n*h + s*h**3 + c + i*h**2 + d*h**4 and give n. 3 Express -s**4 - 4*s + 4*s + 0*s - 2*s - 2*s**3 in the form z*s**4 + u*s + k*s**3 + p + j*s**2 and give z. -1 Rearrange (2*k**2 + 3*k**2 - 2*k**2)*(k + k**2 - k + (k + 2*k - 4*k)*(-4*k - 8 + 8)) to y*k**3 + z*k**2 + v*k**4 + m + x*k and gi
{ "pile_set_name": "DM Mathematics" }