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scaling_mia_the_pile_00_DM_Mathematics

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0 + 11, 0 = 2*v - 2 for q. -5 Solve 5*d - 15 = -5*t, 0 = -272*d + 274*d + t - 4 for d. 1 Solve 22 = -3*m - 3*d - 2*d, 5*d = 5*m + 10 for m. -4 Solve -31*f - 4 = 4*y - 27*f, 5*y = 5*f + 15 for y. 1 Solve 5*s = w, 0 = -2*s - 12*w + 10*w for s. 0 Solve 14 = 4*y - d, 10*y - 4*d = 6*y + 8 for y. 4 Solve 2*w = 5*j + 20, 5*j + 5*w - 1 = -21 for j. -4 Solve -15 = -5*w - 5*r, -6*w + 3*w - 23 = -5*r for w. -1 Solve -3*z - 4*x + 19 - 48 = 0, 3*z - 4*x - 11 = 0 for z. -3 Solve 10 = -3*x + 4*d + 1, -3*x - 4*d - 9 = 0 for x. -3 Solve 0 = z + 2*u + 9, -24 = z + 2*z + 5*u for z. -3 Solve -u - 20 = 4*u, -3*g - 6*u - 9 = 0 for g. 5 Solve -l + 24 = -5*s, 2*l + 2*s - 8 = 4*s for l. -1 Solve -5*r + 3*j = -0*r + 15, -r + 5*j = 3 for r. -3 Solve 27*t - 23*t + 5*h = 20, -2*t + 4*h + 10 = 0 for t. 5 Solve 5*i - 4*f = -7 - 1, -9 = 3*i - f for i. -4 Solve -5*c + 1 = -29*i + 28*i, c = -3*i - 3 for i. -1 Solve -4*d = -0*z - 2*z - 12, -12 = -2*d - 2*z for d. 4 Solve 24 = -4*v + 3*l, 14*v = 10*v - 4*l + 4 for v. -3 Solve 2*r - 25*a + 21*a - 6 = 0, -3*a - 7 = -2*r for r. 5 Solve -829*q + 4*x = -828*q - 10, -3*q + 5*x = -23 for q. 6 Solve -4*j + 19 = h, 10*j = 13*j + 5*h - 10 for j. 5 Solve -17*r - 3 = -16*r + 5*f, 5*r + 5*f = 5 for r. 2 Solve -4*t + 4*d = 4, -2*t = -7*t + 4*d - 8 for t. -4 Solve -4*g = 6*c - 9*c - 3, -4*c = -3*g - 3 for c. 3 Solve 2*x - 74*o + 76*o = -12, 4*x + 3*o + 18 = 0 for x. 0 Solve 0 = 2*p - 3*p + 3*n - 4, -4*n = -8 for p. 2 Solve 0 = 5*v + 5*h - 20, 14*v = 12*v - 3*h + 7 for v. 5 Solve 5*q - 1 = 4*a + 4, 3*a + 30 = -5*q for q. -3 Solve 32*j + 5*m = 35*j + 10, -2*j + 15 = m for j. 5 Solve 11 = -w - 4*k, 4*w + 2*k + 2 = -14 for w. -3 Solve -a - 4*m = 3 - 30, -2*m = 3*a - 21 for a. 3 Solve -4*w = -l + 13, 4*w - w = l - 11 for l. 5 Solve 0*t + t - 4 = -u, 14 = -u + 5*t for u. 1 Solve 34*s + 3*t = 36*s - 6, -2*s + 5*t = -10 for s. 0 Solve -2*x - 7 = -5*k - 3, 0 = -k + 5*x - 13 for k. 2 Solve -5*k + 10*w - 7*w = 22, 0 = 2*k + 4*w + 14 for k. -5 Solve -16*z + 14*z + 8*a - 34 = 0, 2*a = -3*z - 9 for z. -5 Solve 0 = 5*u, -3*n - 5*u = n for n. 0 Solve -2*p = 4*d + 12, 2*d + 2*d + 20 = 0 for p. 4 Solve -6*h - 3 = -7*h, -5*h + 9 = 2*w for w. -3 Solve -5*i - 5*s - 20 = 0, 5*s + 4 = -2*i + 4*s for i. 0 Solve 177*l + 2*d = 178*l - 14, 1 = -l - d for l. 4 Solve 5*b - t - 11 = 0, -4*b + 0*t + 3*t = -22 for b. 1 Solve -3 = 3*d - 2*d - 4*a, 0 = d + 3*a - 4 for d. 1 Solve t - 1 = a, 5*a = 4*t - t - 13 for t. -4 Solve -9 = -98*v + 101*v + 3*z, -v - 4*z - 15 = 0 for v. 1 Solve o + 3*u = 6*u - 12, -u + 20 = 5*o for o. 3 Solve 20 = 5*s + 14*i - 10*i, 8 = 2*s - 4*i for s. 4 Solve 0 = y + 4*x + 22, 11 = -3*y - 7*x + 6*x for y. -2 Solve -5*g = -4*r + 4 + 1, 4*g = 3*r - 4 for g. -1 Solve 5*r + i = 10 + 10, -2*r = -4*i - 30 for r. 5 Solve -3*k - 5*f - 6 = 4, 3*k + 3*f + 12 = 0 for k. -5 Solve -6*t + o + 28 = -t, 0 = -5*t + 2*o + 31 for t. 5 Solve 19 = m + 4*u, 0 = 19*m - 22*m - 3*u + 12 for m. -1 Solve -4*b = -4*f - 8, 0 = 2*f + 2 + 4 for b. -1 Solve -5*p + 4*p + 2*v = 3, -4*p - v - 12 = 0 for p. -3 Solve -3*n - 1 = -4*n + w, 3*w = 2*n + 2 for n. 5 Solve 4*t + 9 = -2*k + 1, 5*k = 5*t - 5 for k. -2 Solve -5*p - 1 = 3*k, 4*p - 3*k + 3 + 14 = 0 for p. -2 Solve -4*p - 4*b = 36, -4*p - b - 26 = b for p. -4 Solve -4*m + 96*f - 8 = 100*f, -4*f + 24 = -4*m for m. -4 Solve 0 = -3*i + 2*k - 32 + 26, -i - 5*k = 19 for i. -4 Solve 0 = -5*a - 8*k + 3*k + 45, 4*a + k = 24 for a. 5 Solve -3 = -3*o, -5*o + 10 = 2*z - o for z. 3 Solve 20*p + 3*t + 20 = 21*p, 2*p = 2*t + 20 for p. 5 Solve 2*g - 2*d = 2 - 16, 1 = -3*g - 2*d for g. -3 Solve 2*b + 90 = -y + 94, -4 = -2*b + 4*y for b. 2 Solve -10 = 2*p + 5*n, 5*p - n = 28 + 1 for p. 5 Solve 0*g + 4*s + 15 = -g, -2*g = -s - 6 for g. 1 Solve 2*b - 10 = -4*z + 5*b, 3*z + 3*b = -3 for z. 1 Solve -10 = 5*x, 0 = -5*b - x - 17 - 5 for b. -4 Solve -3 = h + t + 3, -h + 3*t + 6 = 0 for h. -3 Solve 2*z = 3*i + 6, -20*z - 3 = -3*i - 15*z for i. -4 Solve -f = -3*v - 0 - 10, -v = -5*f + 8 for v. -3 Solve 2*k + 2 = 20*t - 16*t, 0 = -5*t + k - 2 for t. -1 Solve -2 = -4*f + 2*u, u - 7 = f + 2*u for f. -2 Solve -10*i = -9*i - 2, 5*i - 25 = 3*m for m. -5 Solve -n = -2, -5*b + n = -55 + 32 for b. 5 Solve 0 = 2*n + 2*g + 10, 11*g - 8*g = 4*n + 6 for n. -3 Solve 2*y - 5*r = y + 9, 14 = 3*y - 2*r for y. 4 Solve -12*k + v = -16*k + 13, -2*k = 2*v - 14 for k. 2 Solve 0 = -4*a + 3*w - 20, -4*a + 8*w - 20 = 4*w for a. -5 Solve 3*f + 10 = -2*c + 4, -3*c = 18 for f. 2 Solve -4*s + 8 = 2*x, -3*s + 6*s - 20 = 2*x for s. 4 Solve r - 6 - 8 = 3*n, 4*n = r - 19 for n. -5 Solve -4*n - 5*a - 5 = 0, -4*n + 5*a + 5 = n for n. 0 Solve 2 = -7*w + 9*w + 3*r, -4*w = 3*r + 2 for w. -2 Solve -4*h - 1 = 2*w - 5, 8 = 4*h + w for h. 3 Solve 3*p + 27 = g + 23, 0 = -5*g + 5*p + 20 for g. 4 Solve 57*f = 54*f + 30, 0 = -4*o + 4*f - 40 for o. 0 Solve -5*z - 7 - 6 = 2*b, 0 = b + 2*z + 6 for b. -4 Solve -3*d - 2*n - 13 = 3*n, 5*d - 4*n = 40 for d. 4 Solve 4*m - 5*z = -25, -44*m + 47*m + 5*z - 25 = 0 for m. 0 Solve -3*y + 13 = -a, -3*y = 34*a - 30*a + 22 for y. 2 Solve -2*i = -0*i + 4*m - 12, -3*m + 12 = 0 for i. -2 Solve -l - 4*u + 20 = -3*l, 0 = 3*u - 15 for l. 0 Solve -3*i - 8 = 4*u - 6*i, 2*i + 6 = -3*u for u. -2 Solve -5*f - 3*t = -4*t - 5, 3*t - 15 = 0 for f. 2 Solve -3 = o + 3*h, -6*o = -2*o - 2*h - 2 for o. 0 Solve -4 = -4*y, 0 = 3*t + y + 3 - 1 for t. -1 Solve -3*h + 2 = 2*x - 0, 4*h - 3*x = 31 for h. 4 Solve 5*r - 2*p = -7, 4*r - 3*p + 344 - 337 = 0 for r. -1 Solve -3*i = 5*x, 0 = 5*x + i - 4*i - 30 for x. 3 Solve -262*v + 31 = 3*f - 267*v, -5*v - 33 = -4*f for f. 2 Solve -z - j - 5 = 0, 9 = -z + 26*j - 31*j for z. -4 Solve 2*g = 2*f - 0*g + 16, 4*f - 2*g = -22 for f. -3 Solve w - 3*h = 15, 2*w - 4*w - 2*h - 2 = 0 for w. 3 Solve b - 10 = -o, 3*o - 10 = -b + 10 for o. 5 Solve -5*l - 2*q + 77 - 86 = 0, -5*q = 5*l + 15 for l. -1 Solve -d + o = 13 - 14, 0 = -5*d + 4*o + 8 for d. 4 Solve 3*x - 33 = -3*p, -p - 5*x + 50 - 3 = 0 for p. 2 Solve 3*t - 8*t - 2*f = 14, 0 = -t + 3*f - 13 for t. -4 Solve -2*i - 12 = 37*u - 38*u, 5*u = -5*i for i. -4 Solve 3*d + 10 = -3*h + 25, 2*d = 2*h - 2 for h. 3 Solve -2*m = b - 14, m = 3*m + 4*b - 26 for m. 5 Solve 3 = 2*g - r, -2*g - 3*g - 2*r = -12 for g. 2 Solve t + 3 = -0*u + 4*u, -4*t - u = -5 for t. 1 Solve -4*g - 3*j = -8*j, 5*j = -g - 25 for g. -5 Solve -o + 4*k - 1 = 0, -o + 9 = 3*o - 3*k for o. 3 Solve -2*p + 2*o = -12, -5*p + 12 = 3*o - 10 for p. 5 Solve 0 = 3*x - q - 4, 0 = -4*x - 21*q + 16*q + 37 for x. 3 Solve -2 = 5*f + 3*z, 9*f - 3*z = 6*f + 18 for f. 2 Solve 4*x + 0 - 2 = 2*i, 0 = -2*i + x + 7 for i. 5 Solve 2*i = -13*f + 18*f - 19, i - 18 = -3*f for i. 3 Solve -5*s + 3*s - 2*y = 2, -3*s - 19 = -5*y for s. -3 Solve -4*n - t + 40 - 20 = 0, -5*t = -3*n + 15 for n. 5 Solve 8*d - 23 = 3*d + 2*i, 2*d - 14 = -4*i for d. 5 Solve -16*z + 2*n - 6 = -14*z, -n + 7 = 3*z for z. 1 Solve -6 = 2*t - 9*l + 11*l, -3*t = 5*l + 11 for t. -2 Solve -2*l + r + 23 = -4*r, -l - 5*r = 26 for l. -1 Solve 0 = -4*b + 5*p + 25, 0 = -3*b - 5*p + 10 for b. 5 Solve 5*b - 13 = -w, 14 = 5*w + b - 3 for w. 3 Solve 0 = 2*v - 2*r - 191 + 203, -10 = 2*v - r for v. -4 Solve 5*q + b - 31 = -4, 0 = q + 3*b - 11 for q. 5 Solve 0 = -7*s + 10*s - 2*d - 14, 0 = 5*s + 2*d - 2 for s. 2 Solve 2*v = 2*b + 2, -2*v + v = b + 3 for b. -2 Solve 3*u + 19*r = 15*r + 23, 28 = 4*u + 4*r for u. 5 Solve -24 = -2*c + o - 5*o, -10 = 5*c - 4*o for c. 2 Solve -54*l = -5*y - 51*l - 2, 2*l = 4*y for y. 2 Solve -46*i = -43*i - 3*x, -3*x = 4*i - 7 for i. 1 Solve -2*t = -3*o + 24, -5*o + o + 4*t + 40 = 0 for o. 4 Solve 0 = -a + 2*f + 4, -32*f = 4*a - 28*f + 32 for a. -4 Solve -o + 4*l - 6 = 0, 5*l - 1 = 4 for o. -2 Solve 0 = -v - 3*k - 4, -2*v + 4*k + 14 = -k for v. 2 Solve -m - 24 = 5*w, -m - 2*w = -3*m for m. -4 Solve 5*s + 14 = n + 37, 0 = 3*s - 5*n - 27 for s. 4 Solve -4*g + 2*g = -2*m, 0 = 5*g - 20 for m. 4 Solve -v + 4*p - 41 + 50 = 0, -3*p - 8 = -2*v for v. 1 Solve 1 = 2*u - 7*u - 4*m, 3*m = -2*u + 1 for u. -1 Solve -5*f - 11 = 4*z, 3 = -f + 45*z - 46*z for f. 1 Solve 5*x = 3*q + q - 6, -q - 9 = 4*x for q. -1 Solve -4*m = z - 25, 0 = -2*z + 6*z - 2*m - 10 for z. 5 Solve -7*f - 3*q = -5*f + 5, -4*q - 8 = 4*f for f. -1 Solve a - 4 = -5*w, -25*w - 3*a = -28*w + 6 for w. 1 Solve 5*a + 3 = q, 6*q - 4*q + 5*a = -9
{ "pile_set_name": "DM Mathematics" }
units digit of o? 1 Suppose -11*z - 88 = -2596. What is the units digit of z? 8 Suppose -43*q = -30*q - 33332. What is the units digit of q? 4 Suppose 2540 = -42*k + 52*k. What is the tens digit of k? 5 Let k = -10 - -13. Suppose -2*b - 4*i = -140, 5 = -k*i + 2. What is the units digit of b? 2 Let r = 80 - 38. Let b be (-1)/(128/r - 3). What is the units digit of 96/7 - 6/b? 4 What is the tens digit of (32/40)/(0 - 10/(-28825))? 0 Let q = 30 - 26. Suppose -976 = -5*p - 2*l, -q*p - 3*l = 313 - 1091. What is the tens digit of p? 9 Let d = 4904 - 3270. What is the units digit of d? 4 What is the units digit of (-808)/(-101) + 714 + -1? 1 Let p be 1/12*4*606. Let i = 335 - p. Suppose 3*r - j - 52 = 0, -5*r + i = 3*j + 23. What is the units digit of r? 9 Let b(u) = -u**2 - 5*u - 1. Let r be b(-5). Let z be 40/12*r*3. What is the units digit of (1 - 17)*5/z? 8 Suppose 6*x - 3*x = -3. Let f be 1/(x*2/6). Let h(r) = r + 4. What is the units digit of h(f)? 1 Let i = -86 + 198. Let x = i + -98. What is the tens digit of x? 1 Let c be (-481)/(-8) - 7/56. Suppose -3*r - 62 = -f, -2*r - 2*f = 2*f + c. Let u = 41 + r. What is the tens digit of u? 1 Suppose 7*q - 15755 = -16*q. What is the tens digit of q? 8 What is the tens digit of 4*(-2)/(-20) + 30696/10? 7 Suppose 0*k - k + 697 = 3*x, 0 = -k + x + 693. What is the tens digit of k? 9 Suppose 2 = 5*h - 3, -16 = -3*m - 4*h. Suppose o - 4*u + 9 = 0, 3*o + 8 = -4*u + 45. Suppose -2*l + 5*y = -m*l - 1, -y = l - o. What is the units digit of l? 2 Let y(f) be the second derivative of -f**5/20 + f**4 - 5*f**3/3 - 4*f**2 - 2*f. Let c be y(11). What is the units digit of -1 + -4 + 55 + c? 3 Let w = 377 - 158. What is the tens digit of w? 1 Suppose 0 = -13*m - 127*m + 376880. What is the hundreds digit of m? 6 Suppose 2881 = 3*b - 3089. What is the hundreds digit of b? 9 Suppose 10*j - 245 = 5*j. Let z = j + 39. Suppose 3*u - z = -u. What is the units digit of u? 2 Let q be 9/2 - 21/14. Suppose -q*g = 5*m - 208, -224 = -5*m + g - 0*g. What is the tens digit of m? 4 Let a(l) = 34*l**2 + 4*l + 9. Let w be a(3). Let h = -195 + w. What is the tens digit of h? 3 Let h = 2 - 2. Suppose h = -7*q + 4*q + 30. What is the units digit of 60/14 + q/(-35)? 4 What is the hundreds digit of -5*(-3)/15 + (-800)/(-4)? 2 Suppose 5*v = 5*r - 1210, v - 5*v = -r + 257. What is the hundreds digit of r? 2 Let t(z) = z - 14. Let m be t(7). Let b = m + 21. Let q = b + -12. What is the units digit of q? 2 Let i(p) = 9*p - 1 + 11*p - 16*p. Let d(z) = -3*z + 2. Let t(f) = -3*d(f) - 4*i(f). What is the units digit of t(-2)? 2 Suppose -8 = -4*l + 8. Let f(w) = -9*w - 15. Let s be f(-2). Suppose -l*b = -s*b + 3*i - 62, 2*b - 133 = -3*i. What is the units digit of b? 1 Let m = 12 - 22. Suppose 3 = w, w + 3*w - 17 = a. What is the tens digit of 4 - (m/a - 67)? 6 What is the thousands digit of (3 + -4 + -17)/((-6)/933)? 2 Let s(f) be the first derivative of f**4/4 + 2*f**3 - 7*f**2 - 9*f + 4. What is the tens digit of s(-6)? 7 Suppose -12*k = -14*k + 4. Let q(f) = 29*f**3 - f**2 + 5*f - 4. What is the hundreds digit of q(k)? 2 Let r(v) = -15*v**3 - v**2. Let w be r(1). Let j be 43/2 - (-8)/w. Let l = j - -4. What is the units digit of l? 5 Let v(z) = -z**3 + 9*z**2 + 12*z - 2. Let n be v(10). Suppose 0 = n*o - 19*o. Suppose o = 3*y + 4*i + 10, y - 5*y - 5*i - 12 = 0. What is the units digit of y? 2 Let g = -28 + -14. Let t = -7 - g. What is the tens digit of t? 3 Let y(o) = 8*o - 6*o**2 - 3*o - 4 + 7*o**3 - 8*o**3. Let p be y(-7). Suppose 5*t = -k + p, -4*k = -4*t + 2*t + 26. What is the units digit of t? 3 Let y(q) = 2*q**2 - q - 2. Let k be y(2). Suppose 0 = s + 4*o - o + 3, -s + 27 = -3*o. What is the units digit of k/6 - (-124)/s? 1 Let k = 419 - 260. Suppose -7*a + k + 72 = 0. What is the tens digit of a? 3 Suppose -4*m + 5*z = -3591, 6*z - 10*z = 12. What is the hundreds digit of m? 8 Let x be (-1)/(-3) - 16/12. Let t be -4 + 9 + x + 0. What is the tens digit of 96/t + 3 + 0? 2 Suppose 0 + 5 = r. Suppose -a = -r - 95. Let u = a - 69. What is the tens digit of u? 3 Suppose -964*q = -961*q - 10449. What is the hundreds digit of q? 4 Let t = -542 + 97. Let i = 12 - 9. What is the units digit of (-2)/(i - t/(-145))? 9 Suppose 2*z + 3*z + 4*f = -16, -14 = 4*z + 2*f. Let a(b) = -17*b + 47. What is the tens digit of a(z)? 1 Let g = -65 + 323. What is the tens digit of g? 5 What is the hundreds digit of (4 - -3 - 6)*185? 1 What is the hundreds digit of 4300 - 5/2*(-46)/115? 3 Suppose -4*g = -k - 16, 3*k + 4*g - 48 = -16. Suppose 2*u = k*d - 15 - 119, 9 = 3*u. What is the tens digit of d? 3 Let y = -121 + 108. Suppose -i - 2*s + 1 = 29, -2*s + 164 = -5*i. Let b = y - i. What is the units digit of b? 9 Let f(j) = -55*j - 146. What is the tens digit of f(-54)? 2 Suppose -214 + 1075 = 7*s. What is the hundreds digit of s? 1 What is the hundreds digit of (46080/420)/(2/28)? 5 Let y = 54 - 24. Suppose 8*a + y = 9*a. What is the tens digit of a? 3 Let c be -14 - (-6 + 4 - -4). Let b(l) be the third derivative of l**6/120 + 17*l**5/60 + l**4/2 - 8*l**3/3 - l**2. What is the units digit of b(c)? 8 Let a = 51 - 61. Suppose -4*k + 51 = -41. Let y = a + k. What is the tens digit of y? 1 Let q(u) = -4*u**2 + 10*u + 9. Let b(w) = 5*w**2 - 10*w - 8. Let z(x) = 5*b(x) + 6*q(x). What is the units digit of z(-13)? 3 Let s be 2/3 - (-164)/6. Suppose w - s = -w. What is the tens digit of w? 1 Let f be (-3)/(425/(-105) - -4). Let p = 211 - f. What is the tens digit of p? 4 Suppose -8953 - 6439 = -16*n. What is the units digit of n? 2 Let i = 3728 + -2019. What is the tens digit of i? 0 Suppose 2*m + 6 = 5*o, m - 5*o = 4*m - 16. Suppose -15 - 6 = -3*h - m*y, 0 = -4*h - 4*y + 32. Suppose h*j - 16 = j. What is the units digit of j? 4 Suppose 2 = -3*r - 16. Let o(j) = j**2 + 3*j - 5. Let m be o(r). Suppose 2*i - 52 = -4*k, -k + m = 2*i - 6. What is the tens digit of k? 1 Let k be 14/((4/(-18))/2). Let m = k + 241. Suppose 2*g - m = -3*g. What is the units digit of g? 3 Let g = 14796 + -8316. What is the tens digit of g? 8 Let s(x) = 20*x - 11. Let b be s(3). Let d = 201 - b. What is the units digit of d? 2 Let h(b) = -9*b + 40. Let t be h(4). What is the tens digit of (1 + -3)/(0 - t/276)? 3 Let u(q) = q**3 - 2*q**2 + 2. Let k be u(3). Suppose k*c = 6*c + 1570. Suppose -c = -6*g - 128. What is the units digit of g? 1 Let w(i) = -i**3 - 7*i**2 + 8*i + 2. Let s = 9 - 5. Suppose 0 = 4*v - 5*r + 22, r + 10 = -s*r. What is the units digit of w(v)? 2 Let h(q) = -2*q + 2. Let t be h(-17). Let n = -18 + t. What is the units digit of n? 8 Let u be 58/(-18) - (-4)/18. Let i be -27 - u*1/(-3). Let c = -18 - i. What is the units digit of c? 0 Let g be 7 + 270/(-25) - (-1)/(-5). What is the tens digit of 4/8*-1 + (-446)/g? 1 Let v(y) = 10*y**2 - 8*y - 6. Let b be v(-6). Suppose -f - 135 = -h - 2*f, 0 = 3*h + 2*f - b. What is the tens digit of h? 3 What is the thousands digit of 1/(-3)*-1 + (-41776)/(-24)? 1 What is the units digit of (32/80)/(2/670*2)? 7 Suppose 2*x = -2*g + 258, 2*g + 3*x + 273 = 4*g. What is the hundreds digit of g? 1 Let q = -60 - -51. Let a(p) = -2*p + 1. What is the tens digit of a(q)? 1 Let g(l) = -154*l**3 - 3*l**2 - 11*l - 53. What is the tens digit of g(-3)? 1 Suppose -5*w + 7*i = 3*i - 2786, 2*w = 2*i + 1116. What is the units digit of w? 4 Suppose 0 = x + 2 + 10. Let z be -2*18/(-12) - -29. Let o = x + z. What is the tens digit of o? 2 Let r = 17 - 13. Let k be -1 + (r - (0 + -17)). Suppose -28 - k = -2*v. What is the units digit of v? 4 Suppose 2 = -o - 0, 19 = 3*l - 2*o. Suppose l*x = 7*x - 134. What is the units digit of x? 7 Let a be ((-14)/5)/(2/(-5)). Suppose -2*z - a - 9 = 0. What is the tens digit of 42/(4/z - -2)? 2 Suppose 126*j + 211 = 127*j. Let y = j + -108. What is the units digit of y? 3 Let u be -4*4/(-4) - -101. Suppose -4*h - 2*l + 344 = 0, u + 71 = 2*h - l. What is the units digit of h? 7 Let a be (-10)/15*-6 + 1. Suppose 4 = a*o - 11. What is the units digit of o? 3 Let m = 4608 - 2765. What is the tens digit of m? 4 Suppose -8*c - 556 = -1476. What is the hundreds digit of c? 1 Let z be 18/(-27) + ((-32)/(-6))/2. Suppose 3*l + 4*c = 105, -4*c - 34 - 16 = -z*l. What is the tens digit of l? 3 Let p(l) = -l**2 - 3*l + 12. Let m be p(-7).
{ "pile_set_name": "DM Mathematics" }
161. 13 Calculate the remainder when 9164459 is divided by 58. 53 Calculate the remainder when 8084413 is divided by 7627. 7420 Calculate the remainder when 1617797 is divided by 1529. 115 What is the remainder when 2300902 is divided by 62186? 20 What is the remainder when 1093668 is divided by 588? 576 Calculate the remainder when 1404491 is divided by 468152. 35 What is the remainder when 467108 is divided by 35? 33 Calculate the remainder when 64933 is divided by 581. 442 What is the remainder when 2599788 is divided by 858? 48 Calculate the remainder when 244648057 is divided by 116. 113 Calculate the remainder when 4239566 is divided by 645. 626 What is the remainder when 90704 is divided by 252? 236 What is the remainder when 2486665 is divided by 16? 9 Calculate the remainder when 4195840 is divided by 15. 10 Calculate the remainder when 2367922 is divided by 17411. 26 What is the remainder when 186904825 is divided by 62301608? 1 Calculate the remainder when 2506815 is divided by 69. 45 Calculate the remainder when 9367495 is divided by 454. 113 What is the remainder when 42106715 is divided by 3987? 8 Calculate the remainder when 2724544 is divided by 2724525. 19 Calculate the remainder when 1557917 is divided by 97369. 13 What is the remainder when 33115008 is divided by 81? 21 Calculate the remainder when 57979595 is divided by 32518. 1 What is the remainder when 8752786 is divided by 10766? 28 What is the remainder when 87295 is divided by 422? 363 Calculate the remainder when 436003 is divided by 335. 168 Calculate the remainder when 683724 is divided by 71. 65 What is the remainder when 9872336 is divided by 3607? 3584 Calculate the remainder when 7674763 is divided by 3847. 3845 Calculate the remainder when 16900459 is divided by 48. 43 What is the remainder when 4344098 is divided by 7110? 6998 What is the remainder when 74351395 is divided by 28? 27 What is the remainder when 17327122 is divided by 14? 8 What is the remainder when 259264 is divided by 26911? 17065 Calculate the remainder when 8699209 is divided by 157. 153 Calculate the remainder when 1663957 is divided by 415989. 1 Calculate the remainder when 1879546 is divided by 407. 20 What is the remainder when 255745 is divided by 23242? 83 Calculate the remainder when 37029 is divided by 7388. 89 Calculate the remainder when 86739606 is divided by 615. 6 Calculate the remainder when 6900261 is divided by 56. 53 Calculate the remainder when 301614 is divided by 99764. 2322 Calculate the remainder when 95942 is divided by 427. 294 What is the remainder when 3598983 is divided by 275? 58 Calculate the remainder when 4398139 is divided by 18. 1 What is the remainder when 13671495 is divided by 4? 3 What is the remainder when 3667388 is divided by 21? 11 What is the remainder when 2947393 is divided by 1179? 1072 Calculate the remainder when 254638 is divided by 157. 141 What is the remainder when 49814 is divided by 6839? 1941 What is the remainder when 1376435 is divided by 50976? 83 What is the remainder when 70143 is divided by 68522? 1621 What is the remainder when 2314440 is divided by 249? 234 Calculate the remainder when 414748099 is divided by 13. 12 What is the remainder when 549490 is divided by 183044? 358 Calculate the remainder when 90068 is divided by 1272. 1028 Calculate the remainder when 64429 is divided by 826. 1 What is the remainder when 382590 is divided by 382485? 105 What is the remainder when 7216347 is divided by 208? 203 Calculate the remainder when 37021 is divided by 9240. 61 What is the remainder when 4720247 is divided by 790? 787 What is the remainder when 894775 is divided by 678? 493 Calculate the remainder when 51626897 is divided by 1963. 1960 Calculate the remainder when 12808 is divided by 2671. 2124 What is the remainder when 2827304 is divided by 565460? 4 What is the remainder when 16803518 is divided by 260? 238 Calculate the remainder when 4137973 is divided by 169. 8 What is the remainder when 952408 is divided by 1349? 14 Calculate the remainder when 974777 is divided by 1402. 387 What is the remainder when 21417712 is divided by 147? 106 Calculate the remainder when 27260 is divided by 5359. 465 Calculate the remainder when 76600435 is divided by 11. 10 What is the remainder when 37488 is divided by 119? 3 Calculate the remainder when 775306 is divided by 811. 801 What is the remainder when 1815236 is divided by 140? 136 What is the remainder when 78092 is divided by 664? 404 What is the remainder when 45236202 is divided by 45236201? 1 Calculate the remainder when 1409254 is divided by 234873. 16 What is the remainder when 30049726 is divided by 2953? 2951 Calculate the remainder when 22829216 is divided by 318. 314 Calculate the remainder when 35611 is divided by 868. 23 What is the remainder when 1896528 is divided by 632149? 81 What is the remainder when 7890470 is divided by 337? 289 Calculate the remainder when 155125618 is divided by 77562808. 2 Calculate the remainder when 2036906 is divided by 129. 125 Calculate the remainder when 77680202 is divided by 4734. 4730 What is the remainder when 9873689 is divided by 588? 581 What is the remainder when 22758 is divided by 1037? 981 What is the remainder when 78135486 is divided by 313797? 33 What is the remainder when 57029 is divided by 27439? 2151 What is the remainder when 2418926 is divided by 1393? 678 What is the remainder when 104533639 is divided by 152? 47 What is the remainder when 11821915 is divided by 240? 235 Calculate the remainder when 10513147 is divided by 25. 22 Calculate the remainder when 4555863 is divided by 1518561. 180 What is the remainder when 102111 is divided by 6828? 6519 What is the remainder when 20764201 is divided by 16? 9 Calculate the remainder when 1673473085 is divided by 1929. 1928 Calculate the remainder when 2855060 is divided by 118960. 20 What is the remainder when 34812839 is divided by 229? 30 What is the remainder when 5994714 is divided by 48? 42 What is the remainder when 367123061 is divided by 116? 113 Calculate the remainder when 720938 is divided by 408. 2 Calculate the remainder when 14185098 is divided by 2322. 0 What is the remainder when 4955002 is divided by 825830? 22 What is the remainder when 12805740 is divided by 854? 10 Calculate the remainder when 217689 is divided by 72351. 636 What is the remainder when 4227543 is divided by 192161? 1 What is the remainder when 21918680 is divided by 802? 20 What is the remainder when 25214 is divided by 12145? 924 What is the remainder when 22279937 is divided by 4? 1 What is the remainder when 1670788 is divided by 417673? 96 Calculate the remainder when 72668873 is divided by 58. 35 What is the remainder when 190622 is divided by 417? 53 Calculate the remainder when 248441 is divided by 82809. 14 Calculate the remainder when 9388209 is divided by 9503. 8748 Calculate the remainder when 94112740 is divided by 35. 15 What is the remainder when 16708614 is divided by 73? 9 What is the remainder when 86363 is divided by 306? 71 Calculate the remainder when 33545928 is divided by 34. 32 Calculate the remainder when 274903 is divided by 4155. 673 Calculate the remainder when 3325885 is divided by 14460. 85 Calculate the remainder when 23966 is divided by 1712. 1710 Calculate the remainder when 1043041 is divided by 2002. 2001 What is the remainder when 91440 is divided by 538? 518 Calculate the remainder when 2779426 is divided by 221. 130 What is the remainder when 102185 is divided by 833? 559 What is the remainder when 11875 is divided by 11713? 162 Calculate the remainder when 6333 is divided by 5967. 366 What is the remainder when 17453317 is divided by 178095? 7 What is the remainder when 338919 is divided by 946? 251 What is the remainder when 787453 is divided by 2508? 2449 What is the remainder when 400742418 is divided by 11772? 11766 Calculate the remainder when 71117 is divided by 1673. 851 Calculate the remainder when 1774250 is divided by 1369. 26 What is the remainder when 297366 is divided by 297353? 13 Calculate the remainder when 19658 is divided by 1844. 1218 What is the remainder when 140621 is divided by 2869? 40 Calculate the remainder when 1348863 is
{ "pile_set_name": "DM Mathematics" }
ed by 20? 19 What is the remainder when 779 is divided by 99? 86 What is the remainder when 7685 is divided by 6? 5 What is the remainder when 627 is divided by 21? 18 Calculate the remainder when 299 is divided by 32. 11 Calculate the remainder when 250 is divided by 45. 25 Calculate the remainder when 188 is divided by 87. 14 What is the remainder when 1073 is divided by 264? 17 Calculate the remainder when 77 is divided by 61. 16 Calculate the remainder when 233 is divided by 52. 25 What is the remainder when 610 is divided by 102? 100 Calculate the remainder when 15 is divided by 11. 4 Calculate the remainder when 370 is divided by 151. 68 What is the remainder when 322 is divided by 28? 14 Calculate the remainder when 313 is divided by 35. 33 What is the remainder when 208 is divided by 70? 68 Calculate the remainder when 305 is divided by 78. 71 What is the remainder when 564 is divided by 143? 135 What is the remainder when 670 is divided by 21? 19 What is the remainder when 387 is divided by 36? 27 What is the remainder when 1416 is divided by 93? 21 What is the remainder when 527 is divided by 22? 21 What is the remainder when 127 is divided by 48? 31 What is the remainder when 190 is divided by 173? 17 Calculate the remainder when 376 is divided by 155. 66 Calculate the remainder when 26 is divided by 20. 6 What is the remainder when 1003 is divided by 101? 94 Calculate the remainder when 733 is divided by 3. 1 Calculate the remainder when 189 is divided by 52. 33 What is the remainder when 5912 is divided by 422? 4 Calculate the remainder when 38 is divided by 12. 2 Calculate the remainder when 27788 is divided by 70. 68 Calculate the remainder when 44 is divided by 16. 12 What is the remainder when 66 is divided by 46? 20 What is the remainder when 311 is divided by 172? 139 What is the remainder when 79 is divided by 20? 19 What is the remainder when 1674 is divided by 25? 24 What is the remainder when 67 is divided by 14? 11 Calculate the remainder when 697 is divided by 10. 7 What is the remainder when 730 is divided by 47? 25 Calculate the remainder when 2319 is divided by 40. 39 What is the remainder when 206 is divided by 11? 8 Calculate the remainder when 1382 is divided by 24. 14 What is the remainder when 317 is divided by 30? 17 What is the remainder when 396 is divided by 19? 16 Calculate the remainder when 167 is divided by 7. 6 Calculate the remainder when 230 is divided by 5. 0 Calculate the remainder when 346 is divided by 303. 43 What is the remainder when 1717 is divided by 73? 38 Calculate the remainder when 206 is divided by 72. 62 Calculate the remainder when 12074 is divided by 115. 114 What is the remainder when 296 is divided by 104? 88 What is the remainder when 2052 is divided by 10? 2 What is the remainder when 1140 is divided by 1134? 6 Calculate the remainder when 28 is divided by 20. 8 Calculate the remainder when 423 is divided by 106. 105 Calculate the remainder when 20 is divided by 10. 0 Calculate the remainder when 294 is divided by 145. 4 Calculate the remainder when 49 is divided by 19. 11 What is the remainder when 304 is divided by 42? 10 Calculate the remainder when 1405 is divided by 4. 1 What is the remainder when 459 is divided by 15? 9 Calculate the remainder when 749 is divided by 89. 37 What is the remainder when 351 is divided by 113? 12 What is the remainder when 330 is divided by 109? 3 Calculate the remainder when 538 is divided by 79. 64 Calculate the remainder when 579 is divided by 129. 63 Calculate the remainder when 1362 is divided by 13. 10 Calculate the remainder when 840 is divided by 65. 60 Calculate the remainder when 6367 is divided by 91. 88 Calculate the remainder when 847 is divided by 33. 22 What is the remainder when 312 is divided by 129? 54 Calculate the remainder when 88 is divided by 30. 28 Calculate the remainder when 4253 is divided by 8. 5 Calculate the remainder when 6729 is divided by 66. 63 Calculate the remainder when 6794 is divided by 126. 116 Calculate the remainder when 323 is divided by 41. 36 Calculate the remainder when 125 is divided by 9. 8 Calculate the remainder when 140 is divided by 24. 20 What is the remainder when 9912 is divided by 4951? 10 Calculate the remainder when 1706 is divided by 2. 0 Calculate the remainder when 159 is divided by 44. 27 What is the remainder when 1143 is divided by 32? 23 Calculate the remainder when 958 is divided by 8. 6 What is the remainder when 1404 is divided by 19? 17 What is the remainder when 665 is divided by 38? 19 What is the remainder when 245 is divided by 166? 79 Calculate the remainder when 67 is divided by 34. 33 What is the remainder when 1074 is divided by 120? 114 What is the remainder when 46853 is divided by 8? 5 Calculate the remainder when 4854 is divided by 27. 21 Calculate the remainder when 165 is divided by 34. 29 What is the remainder when 37 is divided by 23? 14 Calculate the remainder when 5391 is divided by 5382. 9 What is the remainder when 3252 is divided by 403? 28 What is the remainder when 320 is divided by 19? 16 What is the remainder when 16519 is divided by 20? 19 Calculate the remainder when 118 is divided by 44. 30 Calculate the remainder when 274 is divided by 6. 4 What is the remainder when 6091 is divided by 510? 481 Calculate the remainder when 405 is divided by 194. 17 Calculate the remainder when 70 is divided by 12. 10 What is the remainder when 10823 is divided by 22? 21 Calculate the remainder when 600 is divided by 86. 84 What is the remainder when 1049 is divided by 10? 9 Calculate the remainder when 2521 is divided by 37. 5 Calculate the remainder when 1464 is divided by 385. 309 What is the remainder when 384 is divided by 88? 32 What is the remainder when 2372 is divided by 108? 104 What is the remainder when 50 is divided by 27? 23 What is the remainder when 431 is divided by 135? 26 Calculate the remainder when 152 is divided by 39. 35 Calculate the remainder when 10076 is divided by 96. 92 What is the remainder when 151 is divided by 27? 16 Calculate the remainder when 396 is divided by 361. 35 Calculate the remainder when 473 is divided by 73. 35 Calculate the remainder when 3875 is divided by 102. 101 Calculate the remainder when 336 is divided by 31. 26 Calculate the remainder when 619 is divided by 104. 99 What is the remainder when 783 is divided by 146? 53 Calculate the remainder when 18 is divided by 11. 7 Calculate the remainder when 565 is divided by 11. 4 What is the remainder when 34 is divided by 11? 1 Calculate the remainder when 2503 is divided by 824. 31 What is the remainder when 676 is divided by 12? 4 What is the remainder when 2596 is divided by 55? 11 Calculate the remainder when 922 is divided by 118. 96 What is the remainder when 1512 is divided by 20? 12 Calculate the remainder when 1274 is divided by 51. 50 Calculate the remainder when 2189 is divided by 168. 5 Calculate the remainder when 546 is divided by 132. 18 Calculate the remainder when 525 is divided by 24. 21 Calculate the remainder when 2075 is divided by 103. 15 What is the remainder when 321 is divided by 84? 69 Calculate the remainder when 706 is divided by 706. 0 Calculate the remainder when 832 is divided by 22. 18 Calculate the remainder when 168 is divided by 52. 12 Calculate the remainder when 1286 is divided by 106. 14 Calculate the remainder when 493 is divided by 92. 33 What is the remainder when 6531 is divided by 22? 19 What is the remainder when 36 is divided by 28? 8 Calculate the remainder when 408 is divided by 45. 3 What is the remainder when 158 is divided by 9? 5 Calculate the remainder when 166 is divided by 48. 22 What is the remainder when 1688 is divided by 287? 253 What is the remainder when 249 is divided by 14? 11 Calculate the remainder when 3658 is divided by 141. 133 Calculate the remainder when 15363 is divided by 197. 194 What is the remainder when 164 is divided by 34? 28 Calculate the remainder when 8423 is divided by 27. 26 Calculate the remainder when 210 is divided by 76. 58 What is the remainder when 400 is divided by 51? 43 Calculate the remainder when 3817 is divided by 67. 65 Calculate the remainder when 474 is divided by 195. 84
{ "pile_set_name": "DM Mathematics" }
se -2*n - 179 = -4*j - 5*n, -y = -4*j - 4*n. Which is greater: j or u? j Let z be (-402 + -8)*1/2. Is z bigger than -190? False Suppose 4*d + 11 = -2*u + 29, u - 3 = 0. Suppose 3*q = d*j - 111, 5*j - q - 195 = 6. Which is greater: 42 or j? 42 Suppose -x + 2*b - 4061 = 0, 37*x - 38*x = -5*b + 4061. Do -4062 and x have the same value? False Let k = 937 - 1339. Let i = -424 - k. Which is smaller: i or -19? i Let p be ((-2)/(-3))/((-2)/(-1482)). Suppose p + 481 = 25*i. Are i and 40 nonequal? True Let l(i) = -6*i + 14 + 20*i + 6833*i**2 - 6834*i**2. Let n be l(15). Let f be (-10)/(-6)*(-1)/(-5). Is f < n? False Let b = 0.45229 + -0.36229. Let w = 3.5 + 20.5. Which is bigger: w or b? w Let c = 40.612 + 1.388. Let a = -3903.53 - -3862. Let o = a + c. Is o bigger than 1/3? True Let q(c) = c**2 - 11*c - 16. Let a be q(9). Let p be (-2)/(-46)*a + 1. Is p <= 1? True Let t = -623 + 540. Which is bigger: t or -84? t Let b(q) = q**2 + 10*q - 9. Let k be b(-11). Suppose k*w + 1 = 3. Suppose i + 2 - w = 0. Is 2/19 < i? False Let y = -5003/7416 - -9/412. Is -1 < y? True Suppose 3*c - 12 = 0, 3*b + 4*c = c + 237. Let w = 6770 - 11950. Let d be (8/(-6))/(w/(-399) - 13). Is d >= b? True Let y(o) = o**3 - 68*o**2 - 100*o + 581. Let k be y(69). Which is greater: -1560 or k? k Let p = 84.063 - 84. Let y = 4432.063 - 4433. Let w = y - p. Is 3 greater than w? True Suppose 7*x = 3*x. Suppose 361 = 3*m - 200. Let n be ((-153)/m)/(3/2). Which is smaller: x or n? n Let d be (-209890)/606 + (2 - 3). Let v be ((-2605)/(-45))/(4/24). Let j = d + v. Is -1 at least j? False Let v = -98623/740 + 9/370. Let t = v + 133. Let r = 0.2 - 0.22. Is r bigger than t? True Let m = 1443 + -1430.99. Let f = m + -3.61. Which is smaller: f or 1? 1 Let y(n) = 2*n**2 + 8*n + 25. Let u be y(-4). Let g be 938/1530 - ((-285)/u - -12). Is g at most 0.2? True Let h be (-57)/(-19) - ((-14)/175 - 8216/(-2700)). Let b(p) = 3*p. Let v be b(3). Suppose -3*j = 4*s + v, 3*s = -j + 2*j + 3. Is h <= s? False Let q = -318438/2755 - -15462/95. Do q and 48 have the same value? False Let u = 4521 + -5790. Is u at most as big as -0.1? True Let i = -1765 - -8881/5. Let p(c) = c**3 + 10*c**2 + 132. Let v be p(-11). Is i >= v? True Suppose 0 = 175*m - 205*m + 16980. Are 562 and m unequal? True Let i be (2/(-2) - 0)*(51 + 28) + 4. Is i greater than or equal to -95? True Let d = -7757 - -7769. Which is greater: d or -86? d Let m be (-5)/(-2)*7/(63/18). Suppose 5*a - 72 - 3 = m*j, 4*j + a = -35. Is j < -2/7? True Let n be (-93 + 93 - (146 + -2)) + (-4)/1. Is n < -98? True Let c = -153 + 104. Let d = -49.6 - c. Let w = d - -0.7. Is 8 less than w? False Let d = 9 + -17. Suppose -17*k + 180 = -11*k. Let n be (297/k)/(24/(-20)). Which is bigger: d or n? d Let s = -6871.3 - -6232. Let y = 641 + s. Are -3 and y equal? False Let g be 39/182*50/3 + -3. Let a(c) = -c**3 - 8*c**2 - 4*c - 21. Let b be a(-8). Suppose b*h = 25*h - 13*h. Which is bigger: g or h? g Let m(r) = r + 14. Suppose 9*n + 4*n = -91. Let s be m(n). Are 13/2 and s unequal? True Suppose 4*y - 5*r = 6, 13 = -2*y - 4*r + 3. Suppose 2*u + 3 + 3 = 0. Let k be (2/(-1))/(-7 + u). Which is smaller: k or y? y Let k = -664 - -683. Is 4.8 bigger than k? False Let l = -2/2231 + 4928/519823. Let p = -14498686 + 6756385109/466. Let n = p + l. Which is smaller: -7 or n? -7 Suppose -i + 5*i + 73 = -a, -4*a - i = 277. Let p = -70 - a. Let m be 2 + 0 + (-28)/15. Do m and p have different values? True Suppose -23*a - 1440 = 25*a. Let p = -7.5 + 7.5. Which is smaller: p or a? a Let w(p) = p**3 + 14*p**2 - 15*p + 5. Let r be w(-15). Let n(q) = 3*q - 18. Let d be n(13). Suppose 25 = 2*m + i - 17, -r*i + d = m. Does 21 = m? True Suppose -2*u + 5*h + 110 = 99, -5 = -2*u + 3*h. Is u greater than 11? False Suppose 6*d = -8*d - 98. Let c be (-4)/26 - (d + 204/26). Is 1/561 smaller than c? False Let y = 274 - 254. Let z be 1 + 3 - -10*y/(-50). Let x be 4/30*1/(-11). Which is smaller: z or x? x Let i be (-8)/96*-6*-4. Let s be (-9 - -8)/(106/(-52) - i). Is s less than 26? False Let l be (-21 + (-2079)/(-105))*(-110)/(-172). Which is smaller: 0 or l? l Let t = 10719/32 + -335. Suppose 27 = -3*d, 82*k - 81*k - 2*d - 19 = 0. Are t and k nonequal? True Let n(s) = -19*s - 102. Let l be n(9). Let j = l + 297. Is 24 at most j? True Let a(d) be the first derivative of d**2 - 19*d + 1. Let u be 6/10 - (-294)/35. Let k be a(u). Which is smaller: -17 or k? -17 Let z = -2/2407 + 923/12035. Is z > -0.4? True Let s be (-4)/7*-254 - 22/154. Suppose 3*r - 4*n + 185 = -3*n, 5*n - s = 2*r. Let b = 61 + r. Which is smaller: b or -2/7? -2/7 Let o(a) = -14*a + 1302. Let z be o(93). Do 1/8627 and z have the same value? False Let k = 187.4 - 147. Let a = k + -40. Is 2.4 at least a? True Let s = -4125 - -4029. Which is bigger: s or 7/22? 7/22 Let z = -248 - -248. Suppose -3*x - d = -5*x - 1, z = -d + 1. Are 9/23 and x equal? False Let k be -10 - ((-348889)/32915 + (-45)/(-75)). Which is bigger: -3 or k? k Suppose -4*j = 3*y - 14, 3*j + 2*y = 1 + 9. Suppose -j = 8*t + 30. Is t greater than -4? False Let c = 505865/9 - 21551360/387. Let r = c + -519. Suppose 4*w - 21 = -17. Is w > r? True Let h be 6/(-9)*6/20. Let i = -244 - -2686/11. Is h greater than or equal to i? False Let c be -8 - ((-98035)/196 + 5/(-4)). Is 492 != c? True Let c = 0.098 + 0.147. Let w = -0.055 - c. Let t = 1.4 + w. Which is bigger: -1/4 or t? t Suppose 2*l + 17 = 3*l + 3*b, 4*b - 28 = -4*l. Let f be l + ((-16)/(-2) - -2). Suppose -5*i = -k + f, 5*i - 7*k + 4*k = -6. Which is smaller: 0 or i? i Let x(s) = 5*s + 88. Let i be x(-18). Let g be (i/(-3))/((-751)/150 + 5). Which is smaller: g or -99? g Let z be -1*(2 + (2 - 6)). Suppose 6*g = -g + 133. Suppose -6*u - 1 = -g. Is z < u? True Suppose 103 = 8*f - 9. Let d be (2 - (-72)/(-42)) + (-10994)/f. Is -785 at most as big as d? True Let d be ((-22)/(-4))/(15/(-2085)). Is d bigger than -765? True Let h be 2 + (-65)/39 - 7*(-5)/3. Which is smaller: h or 145? h Suppose -8*y + 19*y - 286 = 0. Let h be 24/(-56) - y/(-126). Which is greater: -0.06 or h? -0.06 Let w = -296035213/738101 - 5/56777. Which is smaller: -400 or w? w Let n = -20620/6517 - 34/343. Which is greater: n or -2? -2 Let i = -0.07249 - 0.92751. Which is bigger: i or -9435? i Let s(h) = 538*h + 1068. Let v be s(-4). Which is smaller: v or -1087? -1087 Suppose 165*j - 431*j + 294462 = 0. Which is bigger: 1114 or j? 1114 Let i(x) = x**3 - 19*x**2 - 8*x + 8. Let v be i(19). Let j = v - -106. Which is smaller: 1 or j? j Let b = 187.99807 + 0.00193. Which is smaller: b or 2? 2 Suppose 3*f - o + 63 = 0, -f = -2*f - 2*o - 28. Let m = f + -4. Let r = 29 + m. Which is greater: 8 or r? 8 Suppose 84 = 4*l - 5*z, 67 + 38 = 5*l - z. Suppose l + 13 = h. Let b be (1 + 4/(-12))*6/h. Which is bigger: b or 1? 1 Let j(w) = 11*w - 16. Let i be j(6). Suppose i = -6*x + 4*x + 5*g, -x - 36 = 3*g. Let o be (-25)/(-6) + 5/x. Are 2 and o nonequal? True Let d = 540.18 + -551. Let f = d + 11. Let i be 0 - (6 + 0) - (-15097)/2435. Which is smaller: i or f? f Suppose 97*w = 95*w - v + 37, 0 = 4*w + 5*v - 65. Do 191/9 and w have the same value? False Let m = 10832 - 10833. Which is smaller: -5/2011 or m? m Let h be (6 - 0)*1*4*(-10)/240. Which is bigger: 14/955 or h? 14/955 Let c(f) = 3*f**2 + 9*f + 9. Let b(d) = 4*d**2 + 9*d + 9. Let t(o) = 2*b(o) - 3*c(o). Let z be t(-2). Let j be -7*((0 - -1) + z + -7). Which is smaller: j or 8? j Let y be ((-2)/(-1))/(8/(-52)). Let l(a) = -a**2 - 676*a + 19695. Let p be l(28). Is p greater than or equal to y? False Let p(t) = 20 + t**2 + 5*t**2 - 18 - 2*t. Let f be p(1). Suppose -3*g - f = -3. Is g less than or equal to -7? False Let d = 48548922 + -195251483/4. Let i = 398029935/1508 + d. Let s = -25/29 - i. Is 1 at most s? True Let o = 10895/468401 + -9/467. Do o and -1 have different values? True Suppose 6*m = -36 - 114. Let p be (24/(-28))/(3 - m/(-7)). Which is smaller: 41 or p? p Suppose -41*o - 1122 = -47*o. Suppose -182*q + o*q - 170 = 0. Which is smaller: q or 35? q Let a = 701831/84 + -87533/12. Which is smaller: a or 1061? a Let g(r) = -39*r - 78. Let k be g(-2). Let x = -99/952 - -6/119. Is k greater than or equal to x? True Let l = -6566 - -5926. Is -637 greater than or equal to l? True Let u = -9888 + 9887.
{ "pile_set_name": "DM Mathematics" }
k be 4*(45/(-6) + (-8)/16). Let x = m - k. Calculate the highest common factor of 8 and x. 8 Let h = 3 - 0. Let l = 218 + -211. What is the highest common factor of l and h? 1 Let b = 769 - 728. What is the greatest common factor of b and 123? 41 Let p(o) = -46*o - 58. Let f be p(-6). Let y = -148 + f. Calculate the greatest common divisor of y and 105. 35 Let f = -2563 - -2827. Calculate the highest common factor of f and 72. 24 Let u = -175 - -189. What is the greatest common factor of u and 91? 7 Suppose -2*w - 448 = -l + 2*w, -4*l + 3*w + 1740 = 0. What is the greatest common divisor of 81 and l? 27 Let w(c) = 235*c**3 + c**2 + 20*c - 21. Let q be w(1). Calculate the greatest common factor of 47 and q. 47 Let n(h) be the first derivative of h**3/3 - h**2/2 - 16*h - 1. Let y be n(-12). Calculate the highest common factor of y and 28. 28 Let g = -92 - -139. Let o = 61 - g. What is the greatest common factor of o and 7? 7 Let r be 6 + 0*(-1)/(-2). Suppose 21 = 3*i - 0. Suppose i*p - 48 = r*p. Calculate the greatest common factor of p and 6. 6 Let c = -6 + 2. Let y be (-4)/(-16) + (-159)/c. Let u = -13 + y. What is the highest common factor of 135 and u? 27 Let p(d) be the second derivative of 3*d**5/5 - d**4/6 + d**2/2 + d. Let b be p(-1). Let i = 20 - b. What is the highest common divisor of i and 22? 11 Suppose 0 = -h + 3*t + 25, -5*h + 3*h = -2*t - 42. Let k = 29 - h. What is the greatest common divisor of k and 40? 10 Let u be (-440)/6*(-96)/5. What is the highest common factor of 44 and u? 44 Let o be (6/18)/(305/75 + -4). What is the highest common factor of 65 and o? 5 Let t be 10/1 + -3 + -1. Let s(p) = p**3 - 6*p**2. Let k be s(t). Let w be k - 1/(2/(-22)). Calculate the highest common divisor of 99 and w. 11 Let r be (-5 + 4)*(-10)/2. Let c(s) = s**2 + 7*s + 1. Let f be c(-7). Calculate the greatest common factor of f and r. 1 Suppose 0 = -5*t + 3079 + 41. What is the greatest common factor of t and 120? 24 Let y = -17 + 16. Let q(g) = -130*g - 2. Let l be q(y). Calculate the greatest common divisor of l and 16. 16 Let n(i) = i**2 - 15*i + 16. Let m be n(14). Suppose 5*v = g, -m*v + 84 = 4*g - v. Let j = 5 + 0. Calculate the greatest common divisor of g and j. 5 Suppose 2*c + 40 = 4*q - 156, 0 = -3*c + 18. Let o be (-2 + 8)*1 + -2. What is the greatest common factor of q and o? 4 Let m be 3/(-9)*-73*3. Suppose -3*l = -2*n - 0*n - 87, 0 = -2*n + 4*l - 84. Let i = m + n. What is the highest common divisor of i and 175? 25 Let z = -7 + 16. Suppose l + 38 + 23 = 0. Let g = -25 - l. Calculate the highest common divisor of g and z. 9 Let v be 0*((-6)/4 - -1). Suppose -2*y + 3*l + 149 = v, 3*y - 271 = -l - 64. Suppose -128*o + 514 = -83*o + 64. What is the highest common divisor of o and y? 10 Suppose 8*u - 6*u + 14 = 0. Let l(b) = -b**3 - 7*b**2 - 3*b - 1. Let j be l(u). What is the highest common divisor of 50 and j? 10 Let y(b) = b - 7. Let r be y(10). Suppose -24 = r*m - 6*m. Calculate the greatest common divisor of m and 40. 8 Let x(w) = 2*w**3 + 2*w**2 - 25*w - 5. Let h be x(4). Calculate the greatest common factor of h and 209. 11 Let i be (0*(-1)/2)/(-1). Suppose 2*l - 5*l + 24 = i. Let z be (-230)/(-35) + l/(-14). Calculate the highest common factor of 18 and z. 6 Let o = 202 - 103. Calculate the greatest common factor of 55 and o. 11 Suppose 2*p - 128 = -2*r, -5*r - 96 - 264 = -5*p. What is the greatest common divisor of 4 and p? 4 Let n = -1152 + 1254. Calculate the highest common factor of 2550 and n. 102 Let a = 98 - 47. Calculate the greatest common factor of 425 and a. 17 Suppose 4*w = w - 2*v - 7, 2*w = 3*v + 17. Let m be ((-5)/10)/(w/(-34)). Suppose -62 = 5*g - 402. What is the greatest common divisor of m and g? 17 Let n(u) = -u**2 - 24*u - 87. Let m be n(-14). Calculate the highest common factor of 265 and m. 53 Let l = 408 - 144. Calculate the highest common divisor of l and 198. 66 Suppose 2*h = 6, h = -2*x - 2*h + 81. Suppose -2*d + 26 = -118. Calculate the greatest common factor of d and x. 36 Let g = 416 + -415. Let i(z) = -5*z + 2. Let r(d) = -5*d + 1. Let w(c) = -4*i(c) + 5*r(c). Let k be w(-2). What is the highest common divisor of k and g? 1 Let m be (-2 + (-20)/(-6))/(6/729). Suppose -2*l + 2 = -0. Suppose v - l = 17. What is the highest common factor of m and v? 18 Suppose 0 = -2*y - 3*j + 624, -3*j = -0*y + 4*y - 1254. What is the highest common factor of y and 225? 45 Suppose -4*u = 20, -4*v + 16 = -u + 3. Let z = -166 - -169. Suppose -5*d + 28 = -0*r + 4*r, 16 = z*d + v*r. Calculate the greatest common divisor of 28 and d. 4 Let g(p) = 714*p**2 - p + 2. Let k(z) = -z**2 - z + 4. Let b be k(-3). Let f be g(b). Let c be f/39*12/5. Calculate the highest common divisor of c and 16. 16 Let w be (-20)/130 + 2*30/52. Suppose -2*u + 0*u = -14. What is the greatest common divisor of u and w? 1 Let z = 213 + -178. Suppose 2*u + u - 15 = 0. Calculate the highest common divisor of u and z. 5 Suppose 3*k = -3*n - n + 163, 3*n - 117 = 3*k. Calculate the greatest common factor of 4 and n. 4 Suppose 12*s - s = 44. Let y be ((-187)/(-34))/(1/s). What is the highest common factor of 55 and y? 11 Let y be 45/18*36/(-10). Let a = y - -9. Suppose a = -2*j + 5*v + 64, -3*j + j + v + 48 = 0. What is the greatest common factor of 44 and j? 22 Suppose -299 - 241 = -9*h. Calculate the highest common divisor of 45 and h. 15 Let w be (-2 + 4 - 3)*(-7 + 4). Suppose -n - 6 = -4*i, 2*i = 5*n - w - 3. Calculate the highest common factor of 2 and i. 2 Let g(o) = -9*o**3 + 5*o**2 + 6*o + 1. Let j be g(-2). What is the highest common factor of 117 and j? 9 Let z = -12 - -21. Let r(h) = -8*h + 14. Let u be r(-8). Let i = u - 6. What is the highest common divisor of i and z? 9 Suppose 643*n = 649*n - 7050. What is the highest common divisor of 50 and n? 25 Let z = -157 - -301. Suppose -7*y + z = -24. What is the greatest common factor of 3 and y? 3 Let k(w) = w**2 - w + 8. Let h be k(5). What is the greatest common factor of h and 224? 28 Let t(s) = 51*s + 229. Let d be t(-3). What is the highest common divisor of d and 513? 19 Let d = -38 - -40. Suppose -2*y - 3*t + 37 = 0, d*y + 5*t + 45 = 4*y. Calculate the greatest common factor of y and 8. 4 Let c be (2 - 3 - 1)*(-20 + 9). Suppose h - 5*h = -44. What is the highest common factor of h and c? 11 Let j = -29 + 22. Let x be ((-8)/j)/((-20)/(-70)). Let i be 86/x - 2/4. What is the highest common divisor of i and 63? 21 Let y be (-1398)/(-14) + 10/70. What is the highest common factor of y and 160? 20 Let a be (-31)/1*(25 - 26). Suppose -4 = c - 5*l - a, 5*c = -4*l - 10. What is the highest common factor of c and 1? 1 Let n = 26 + -34. Let f be -9*(n/4 - 21). Calculate the highest common divisor of 23 and f. 23 Let t = 90 - -352. Calculate the highest common divisor of t and 52. 26 Suppose 245*p - 1935 = 230*p. What is the highest common factor of 172 and p? 43 Let j be (-2)/8 - ((-1220)/16 + -3). What is the greatest common factor of j and 869? 79 Let u = 171 + -101. Calculate the greatest common factor of 280 and u. 70 Let k(x) = -2*x**2 + 25*x + 36. Let b be k(12). What is the greatest common factor of b and 16? 16 Let n = 17 - -25. Let o = 9 - -9. Calculate the greatest common divisor of n and o. 6 Let r = 683 + -681. Suppose -4*k - d - 4*d + 113 = 0, 2*d = 3*k - 56. What is the greatest common divisor of r and k? 2 Suppose -2*d + 3*d = 251. Suppose -d = -v - 53. Calculate the greatest common divisor of 22 and v. 22 Let u = 13 - 13. Let w be u + 0 - (-4 + 2). Calculate the greatest common factor of w and 32. 2 Let j = -11 + 13. Suppose b + b = j*x + 16, -22 = -4*b - x. Suppose 3*n - b*g + 2*g - 12 = 0, 25 = 2*n + 3*g. Calculate the highest common divisor of n and 88. 8 Let v be (22/(-4))/(231/(-56) - -4). Suppose -2*t - 4*r + 78 = -t, 0 = -4*t - 2*r + 270. What is the highest common factor of v and t? 22 Let s(w) = 3*w**3 + 4*w**2 + 3*w + 6. Let l be s(-3). Let c = 18 + l. Let u = c - -63. What is the greatest common divisor of u and 22? 11 Suppose 0 = f - 4 + 64. Let u = 136 + f. Calculate the highest common factor of u and 19. 19 Let s(t) = -t**3 + 5*t**2 + 7*t - 12. Let h be s(6). Let m be (1062/(-15))/(h/20). Let g = -93 + m. What is the highest common factor of g and 13? 13 Let h
{ "pile_set_name": "DM Mathematics" }
in 1/9 of a day? 9600 Convert 0.1097158ng to milligrams. 0.0000001097158 Convert 8580.016 grams to tonnes. 0.008580016 How many millilitres are there in thirteen quarters of a litre? 3250 Convert 1597.525 millimeters to micrometers. 1597525 What is one quarter of a meter in centimeters? 25 How many litres are there in 0.5247229 millilitres? 0.0005247229 How many millilitres are there in 12/25 of a litre? 480 Convert 8878.852 weeks to milliseconds. 5369929689600 How many grams are there in three fifths of a kilogram? 600 How many decades are there in 784.4455 years? 78.44455 Convert 365127.8ug to tonnes. 0.0000003651278 What is 17/2 of a week in hours? 1428 What is ten thirds of a millennium in months? 40000 How many kilometers are there in 455.2268um? 0.0000004552268 How many milligrams are there in 61.53457 tonnes? 61534570000 What is 77258.41 nanometers in micrometers? 77.25841 Convert 711491.9m to millimeters. 711491900 How many nanometers are there in 5/8 of a micrometer? 625 What is 1/20 of a microsecond in nanoseconds? 50 How many nanograms are there in 9834.113 tonnes? 9834113000000000000 What is 1/15 of a day in seconds? 5760 What is 42/5 of a century in decades? 84 Convert 8.420747mg to kilograms. 0.000008420747 What is 448640.2ml in litres? 448.6402 Convert 940112.9 millennia to centuries. 9401129 How many micrometers are there in 753.403mm? 753403 What is 3.503936 nanograms in tonnes? 0.000000000000003503936 What is 3/40 of a millisecond in nanoseconds? 75000 How many milligrams are there in 5/4 of a gram? 1250 What is 143061.5 milligrams in grams? 143.0615 What is 26.19138 seconds in nanoseconds? 26191380000 How many micrometers are there in 78694.91 kilometers? 78694910000000 How many months are there in 1/30 of a millennium? 400 What is 25/2 of a litre in millilitres? 12500 What is 44/5 of a decade in years? 88 Convert 20.52806 meters to millimeters. 20528.06 What is 0.9606355ml in litres? 0.0009606355 What is 13/5 of a decade in months? 312 How many millilitres are there in 93152.67l? 93152670 How many millimeters are there in 1/4 of a meter? 250 Convert 947.1592t to micrograms. 947159200000000 Convert 14475.444 seconds to minutes. 241.2574 Convert 0.6243179t to milligrams. 624317900 How many microseconds are there in 0.2599301 nanoseconds? 0.0002599301 How many nanograms are there in 4006.626 milligrams? 4006626000 What is 44784.59 meters in micrometers? 44784590000 Convert 400.032 decades to millennia. 4.00032 What is 1/4 of a kilometer in meters? 250 How many nanometers are there in 3/40 of a millimeter? 75000 What is 21/8 of a litre in millilitres? 2625 What is 0.7638294ml in litres? 0.0007638294 How many minutes are there in 1457907.6ms? 24.29846 What is five eighths of a litre in millilitres? 625 Convert 9975.511 milligrams to kilograms. 0.009975511 What is 5/6 of a week in minutes? 8400 What is 1/6 of a week in hours? 28 How many millilitres are there in 0.4761821 litres? 476.1821 Convert 247877.79 milliseconds to minutes. 4.1312965 How many grams are there in nineteen quarters of a kilogram? 4750 How many weeks are there in 503.891451 minutes? 0.04998923125 Convert 7143.338 millilitres to litres. 7.143338 What is 1/5 of a litre in millilitres? 200 What is 13/5 of a millennium in months? 31200 Convert 183.1971 milligrams to kilograms. 0.0001831971 What is one fifth of a week in minutes? 2016 How many months are there in 9/10 of a millennium? 10800 What is 1/4 of a minute in milliseconds? 15000 What is 476.1395nm in micrometers? 0.4761395 What is twenty-one halves of a millennium in years? 10500 How many months are there in 3/16 of a millennium? 2250 How many millilitres are there in 0.4114502l? 411.4502 How many millennia are there in 4.41755 centuries? 0.441755 What is 3/5 of a milligram in micrograms? 600 What is 878.46 milligrams in grams? 0.87846 What is 169788.3ml in litres? 169.7883 Convert 3.877832 micrograms to milligrams. 0.003877832 What is 9446.367 centuries in decades? 94463.67 How many seconds are there in 582269.4 days? 50308076160 How many years are there in 35209.01 decades? 352090.1 How many grams are there in 0.4246931 tonnes? 424693.1 What is twenty-nine fifths of a tonne in kilograms? 5800 What is 27080.21us in seconds? 0.02708021 How many micrograms are there in 612.4828 kilograms? 612482800000 What is 787.7959 weeks in minutes? 7940982.672 Convert 8296.763 hours to microseconds. 29868346800000 What is fourty-two fifths of a microgram in nanograms? 8400 Convert 503.034 months to centuries. 0.419195 How many micrograms are there in 431.3382 grams? 431338200 How many meters are there in 29308.12 kilometers? 29308120 How many litres are there in 11.7433ml? 0.0117433 How many nanograms are there in 0.3964883 kilograms? 396488300000 How many months are there in 4/3 of a year? 16 Convert 7.814358 centuries to decades. 78.14358 What is 0.4040992 nanoseconds in seconds? 0.0000000004040992 How many hours are there in 65147.211 milliseconds? 0.0180964475 What is 2711.802ml in litres? 2.711802 How many months are there in 341.274 decades? 40952.88 How many millimeters are there in 6/25 of a meter? 240 What is 9/10 of a microgram in nanograms? 900 What is 17/4 of a century in months? 5100 How many millimeters are there in 128170.4cm? 1281704 How many kilometers are there in 80.92092nm? 0.00000000008092092 Convert 252.4797 millennia to centuries. 2524.797 How many seconds are there in 682.8343 weeks? 412978184.64 What is 1/24 of a century in months? 50 How many micrometers are there in 7272.466m? 7272466000 How many micrometers are there in 3/40 of a meter? 75000 What is three eighths of a litre in millilitres? 375 How many micrometers are there in 0.928557 nanometers? 0.000928557 How many hours are there in 13/4 of a day? 78 What is sixty-seven quarters of a second in milliseconds? 16750 What is 0.9773506 grams in micrograms? 977350.6 How many millimeters are there in 336.2034um? 0.3362034 What is one fifth of a litre in millilitres? 200 How many milliseconds are there in 0.7277076ns? 0.0000007277076 How many centimeters are there in three fifths of a meter? 60 What is 5/24 of a millennium in months? 2500 Convert 55067.83 centimeters to millimeters. 550678.3 What is 448727.5 meters in kilometers? 448.7275 How many millimeters are there in 328.6627cm? 3286.627 What is 940308.6 days in hours? 22567406.4 What is 3/8 of a hour in seconds? 1350 How many millilitres are there in one quarter of a litre? 250 How many litres are there in 0.6325477 millilitres? 0.0006325477 What is three tenths of a decade in months? 36 How many kilograms are there in 9624.8 tonnes? 9624800 How many centimeters are there in 13/5 of a meter? 260 How many months are there in one tenth of a decade? 12 Convert 7111.016cm to micrometers. 71110160 How many decades are there in 3/10 of a century? 3 Convert 81126.2 decades to years. 811262 How many microseconds are there in 13/4 of a millisecond? 3250 How many millilitres are there in three fifths of a litre? 600 How many months are there in fifty-five halves of a decade? 3300 What is 0.9439325 tonnes in kilograms? 943.9325 What is one fifth of a litre in millilitres? 200 How many months are there in fifty-five thirds of a year? 220 What is 5.299914ml in litres? 0.005299914 What is 9702.459 years in centuries? 97.02459 Convert 64548.96 years to millennia. 64.54896 What is 25/8 of a microgram in nanograms? 3125 How many months are there in 21/5 of a millennium? 50400 What is 1/10 of a litre in millilitres? 100 Convert 20206.03 decades to centuries. 2020.603 What is 17/2 of a litre in millilitres? 8500 How many kilograms are there in 70.4248 tonnes? 70424.8 How many weeks are there in 187344.4545s? 0.30976265625 What is 9239.322 centuries in months? 11087186.4 What is 32/5 of a microgram in nanograms? 6400 Convert 485588.7 grams to milligrams. 485588700 How many millimeters are there in 3/50 of a kilometer? 60000 What is 1/10 of a week in minutes? 1008 How many months are there in 10/3 of a decade? 400 How many microseconds are there in 981.7946 weeks? 593789374080000 Convert 1416455.775 seconds to weeks. 2.3420234375 What is 1/30 of a day in seconds? 2880 What is 1/4 of a litre in millilitres?
{ "pile_set_name": "DM Mathematics" }
ive of 0*q**3 + 0*q + x*q**4 + 0 - 16*q**2 + 1/60*q**5. Factor s(n). n*(n + 1) Let f(v) = -4*v + 18. Let d be f(4). Solve 21*l + 56*l**d + 22*l + 23*l + 363 - 53*l**2 = 0 for l. -11 Suppose -863*v + 948*v - 765 = 0. Factor -15/2*p**4 + v*p**3 - 21/2*p + 3*p**2 + 3/2*p**5 + 9/2. 3*(p - 3)*(p - 1)**3*(p + 1)/2 Let b(n) = 3*n**3 - 81*n**2 + 380*n - 42. Let c be b(21). Factor -3/4 + 1/4*l**4 - 2*l - 3/2*l**2 + c*l**3. (l - 3)*(l + 1)**3/4 Let c(n) be the third derivative of n**5/100 - 143*n**4/40 + 141*n**3/5 - 493*n**2 - 9. Factor c(l). 3*(l - 141)*(l - 2)/5 Let r = 207582 + -207580. Factor 8/5*y - 2*y**r + 0 + 2/5*y**3. 2*y*(y - 4)*(y - 1)/5 Let c(u) be the third derivative of 2/15*u**5 - 11/36*u**4 - 1/36*u**6 + 1/630*u**7 + 0 + 0*u + 7/18*u**3 + 64*u**2. Suppose c(g) = 0. What is g? 1, 7 Let y(n) be the first derivative of -3*n**4/32 - 23*n**3/4 - 90*n**2 + 432*n - 6598. Find c, given that y(c) = 0. -24, 2 Suppose 0 = 24*v - 27*v - 21, 2*u - 10*v = 70. What is r in u*r**3 + 2/7*r**5 + 0*r**2 + 4/7*r**4 + 0*r + 0 = 0? -2, 0 Determine y so that 2/5*y**4 - 8/5*y**2 - 16*y + 4*y**3 + 0 = 0. -10, -2, 0, 2 Let d(z) be the third derivative of z**5/20 + 61*z**4/24 - 20*z**3/3 + 264*z**2. Let c be d(-21). Factor 6*n - 3/4*n**c - 12. -3*(n - 4)**2/4 Let o(f) be the third derivative of -f**10/12096 + f**9/15120 - f**4/12 - 5*f**3/6 + 44*f**2. Let g(c) be the second derivative of o(c). Factor g(l). -l**4*(5*l - 2)/2 Let -4/5*o**3 - 19044/5 - 3772/5*o - 44*o**2 = 0. What is o? -23, -9 Suppose 96*p - 395 = 12*p + 5*p. Let c(i) be the third derivative of -1/54*i**4 - 13*i**2 + 0 + 1/540*i**p + 2/27*i**3 + 0*i. Factor c(o). (o - 2)**2/9 Let v be 3/15 + 8448/10. Suppose 3*c**2 - 130*c - c**2 + v + 6*c**2 - 3*c**2 = 0. What is c? 13 Let i be 1055*42/3570 - (-33)/(-3). Factor -26/17*m**2 + 12/17*m + i*m**3 - 2/17 - 8/17*m**4. -2*(m - 1)**2*(2*m - 1)**2/17 Let j(a) = a**2 - 82*a + 1107. Let h be j(17). Factor -17/5*n + 1/5*n**h - 18/5. (n - 18)*(n + 1)/5 Let d(v) be the third derivative of -1/945*v**7 + 8/27*v**3 + 11/270*v**5 + 0 + 28*v**2 + 0*v - 1/6*v**4 + 0*v**6. Find s such that d(s) = 0. -4, 1, 2 Let y(o) = -o**2 + 18. Let b be y(-4). Determine t, given that 5*t**4 - 16*t + 3*t**4 - 16*t**b - 4*t**4 + 4*t**3 = 0. -2, -1, 0, 2 Let k = -20 - -23. Suppose -k*g + 0*g + 9 = 0. Factor 8*d + 53 - 11*d**3 + g*d**4 + d**4 - 57 + 3*d**3. 4*(d - 1)**3*(d + 1) Let o(p) be the third derivative of 37*p**5/510 - 87*p**4/68 + 14*p**3/51 + 1439*p**2. Factor o(x). 2*(x - 7)*(37*x - 2)/17 Let d(n) be the first derivative of -3*n**4/4 + 109*n**3 + 168*n**2 - 660*n - 8533. Factor d(l). -3*(l - 110)*(l - 1)*(l + 2) Let j be (-2)/8 - 26/(-40). Suppose 26559*h - 26561*h - 26 = 2*u, 3*u + 57 = 3*h. Let -168/5*m**2 + 24/5*m**4 + 44/5*m**h + 98/5*m + j*m**5 + 0 = 0. What is m? -7, 0, 1 Let v = -42 + 44. Suppose 5*p = -4*y + 12, -v*y + p + 15 = 3*y. Factor -17*u**3 + 7*u**3 - 2*u**y + 15*u**2 - 3*u. -3*u*(u - 1)*(4*u - 1) Factor -718*y + 2704*y**2 - 2705*y**2 + 283*y - 1296. -(y + 3)*(y + 432) Let f = 21/4 + -391/76. Let h be ((648/(-114))/54)/(1/(-2)). Factor h - 2/19*l**2 + f*l. -2*(l - 2)*(l + 1)/19 Let u(h) = -2*h**3 - 83*h**2 - 198*h + 1499. Let d(x) = 3*x**3 + 2*x**2 + 2*x - 1. Let p(b) = d(b) - u(b). Suppose p(f) = 0. What is f? -10, 3 Let b(z) be the third derivative of -3/8*z**4 + 3/40*z**6 + 0*z + 1/20*z**5 - z**3 + 1/70*z**7 + 93*z**2 + 0. Factor b(w). 3*(w - 1)*(w + 1)**2*(w + 2) Factor 0 - 2/5*p**2 + 178/5*p - 178/5*p**3 + 2/5*p**4. 2*p*(p - 89)*(p - 1)*(p + 1)/5 Let g(f) = f**2 - 6*f + 1. Let s(m) = 8*m**2 - 52*m - 112. Let r(v) = -7*g(v) + s(v). Factor r(y). (y - 17)*(y + 7) Let k(t) = -t**3 - 11*t**2 + 12*t + 14. Let f be k(-12). Let o be f + 6/(-2) - 1. Solve 2*p - p + 5*p**3 - 2*p - 10*p**2 - 4*p + o*p**4 = 0 for p. -1, -1/2, 0, 1 Let h(d) be the third derivative of d**5/12 - 95*d**4/24 + 85*d**3/3 + 9079*d**2. Find z, given that h(z) = 0. 2, 17 Let u(v) = 10*v**2 + v - 1. Let l(c) = 91*c**2 + 195*c + 359. Let q(n) = -l(n) + 9*u(n). Suppose q(w) = 0. What is w? -184, -2 Solve -63/5*a**2 - 216*a + 4560 + 3/5*a**3 = 0 for a. -19, 20 Let x(r) = -2*r**2 - 8*r + 481. Let g(o) = 30*o**2 + 130*o - 7214. Let s(c) = 6*g(c) + 92*x(c). Factor s(y). -4*(y - 22)*(y + 11) Factor 23/5*m**3 - 81/5*m**2 - 38/5 + 97/5*m - 1/5*m**4. -(m - 19)*(m - 2)*(m - 1)**2/5 Let y(i) be the first derivative of -533*i**3/4 - 539*i**2/8 - i/2 - 750. Factor y(m). -(3*m + 1)*(533*m + 2)/4 Let r(o) be the first derivative of o**4/10 - 286*o**3/3 + 128872*o**2/5 - 760416*o/5 - 5448. Factor r(h). 2*(h - 356)**2*(h - 3)/5 Let b = 1008421/30 + -201665/6. Factor -8 + b*u + 2/5*u**2. 2*(u - 2)*(u + 10)/5 Let p(r) = -r**4 - r**3 - r**2 + r + 22. Let d(s) = 4*s**4 - 632*s**3 + 464*s**2 - 96*s - 484. Let x(b) = -2*d(b) - 44*p(b). Factor x(a). 4*a*(a + 37)*(3*a - 1)**2 Let a(h) be the second derivative of h**4/3 + 82*h**3/3 + 660*h**2 + 4472*h. Suppose a(p) = 0. What is p? -30, -11 Let c be 10 - (-148)/(-16) - (-26)/8. Factor 5*w**c - 6*w**4 - 3*w**4 - 4*w**4 - 4*w**3 + 4*w**5 + 8*w**2. 4*w**2*(w - 2)*(w - 1)*(w + 1) Factor 3/5*r**3 - 51/5*r**2 + 204/5 - 12/5*r. 3*(r - 17)*(r - 2)*(r + 2)/5 Let v(a) be the second derivative of -a**6/40 + a**5/10 - 77*a**2/2 - 2*a + 13. Let i(n) be the first derivative of v(n). Factor i(g). -3*g**2*(g - 2) Let f(o) be the first derivative of -o**6/600 + o**5/50 - o**4/24 - 2*o**3/5 + 93*o**2 + 7. Let c(w) be the second derivative of f(w). Solve c(x) = 0 for x. -1, 3, 4 Factor 2/5*w**2 - 6/5*w + 4/5. 2*(w - 2)*(w - 1)/5 Find q such that 124/7*q**3 - 156/7*q**2 + 16 - 8/7*q**4 - 176/7*q = 0. -1, 1/2, 2, 14 Let q(k) = 7*k**4 + k**3 - 4*k + 2. Let y(l) = 8*l**4 - l**3 - 6*l + 3. Let d(j) = 3*q(j) - 2*y(j). Find w, given that d(w) = 0. -1, 0 Let q(l) = 6*l**4 - 13*l**3 + 7*l**2. Let j = -178 - -176. Let t(h) = -3*h**4 + 7*h**3 - 4*h**2. Let u(a) = j*q(a) - 5*t(a). Factor u(z). 3*z**2*(z - 2)*(z - 1) Suppose 2076 = 231684*v - 230992*v. Let 0*x**2 + 2/5*x**v + 1/5 - 2/5*x - 1/5*x**4 = 0. What is x? -1, 1 Let p(t) = -2*t**4 + t**3 + 9*t**2 - 2*t - 2. Let x(y) = 5*y**4 - 69*y**3 + 1068*y**2 + 1296*y - 2308. Let i(o) = 2*p(o) + x(o). Factor i(g). (g - 34)**2*(g - 1)*(g + 2) Let b(i) be the second derivative of i**4/72 + 43*i**3/18 - 29*i**2/4 - 7*i - 72. Factor b(z). (z - 1)*(z + 87)/6 Let r(b) = -7*b**3 - 40*b**2 + 17*b + 35. Let k(j) = -6*j**3 - 38*j**2 + 14*j + 34. Let t(h) = 5*k(h) - 4*r(h). Let t(y) = 0. What is y? -15, -1, 1 Let f(h) be the first derivative of -h**4/18 - 88*h**3/9 - 383*h**2/9 + 344*h/3 + 118. Factor f(c). -2*(c - 1)*(c + 4)*(c + 129)/9 Let f be 15228/126 + 12/(-14). Let o be (-54)/f*-5 - 2. Determine w so that 3/2 + o*w**2 + 5/4*w = 0. -3, -2 Let l(k) be the first derivative of k**6/6 - 2*k**5/5 - 2*k**4 + 6*k**3 - 9*k**2/2 - 8098. Factor l(p). p*(p - 3)*(p - 1)**2*(p + 3) Suppose -37*q + 3*q = -4318. Let y = q + -122. Let 0 + 7/2*t**3 + 4/3*t**4 + 0*t + 1/6*t**y + 3*t**2 = 0. What is t? -3, -2, 0 Suppose -5059 = -43*m - 4930. Let r(w) be the first derivative of 1/15*w**2 - 15 + 0*w - 2/45*w**m. Factor r(n). -2*n*(n - 1)/15 Let v(w) be the third derivative of -w**7/168 + 13*w**6/80 + 37*w**5/240 - 13*w**4/16 - 4*w**3/3 - 6478*w**2. Find j, given that v(j) = 0. -1, -2/5, 1, 16 Let t = 2421/12055 - 2/2411. Let -1/5*n**2 + 2/5*n + 0 + t*n**4 - 2/5*n**3 = 0. Calculate n. -1, 0, 1, 2 Let h = -29669 + 29671. Suppose 2/11 + 0*u**h + 1/11*u**3 - 3/11*u = 0. Calculate u. -2, 1 Let h(g) be the second derivative of -g**6/2160 - 7*g**5/720 - 5*g**4/72 - 241*g**3/6 - 7*g + 6. Let r(y) be the second derivative of h(y). Factor r(j). -(j + 2)*(j + 5)/6 Let -2870/9*a**4 - 217054060/9*a**2 + 438232310/9*a - 1370900/9*a**3 - 219804478/9 - 2/9*a**5 = 0. Calculate a. -479, 1 Let x(o) = 5*o**4 + 91*o**3 + 132*o**2 + 67*o - 77. Let l(y) = -2*y**4 - 30*y**3 - 44*y**2 - 22*y + 22. Let g(p) = 7*l(p) + 2*x(p). Factor g(t). -4*t*(t + 1)**2*(t + 5) Factor -645*j**2 + 225/2*j**3 + 1849/2*j + 0. j*(15*j - 43)**2/2 Let j(p) be the first derivative of 4/3*p + 1/2*p**2 - 19 - 1/9*p**3. Factor j(y). -(y - 4)*(y + 1)/3 Let f(g) = 146*g - 267 - 3*g**2 + 907 - g**2. Let w = -17 - -20. Let a(y) = y**2 - 29*y - 128. Let q(p) = w*f(p) + 14*a(p). Factor q(l). 2*(l + 8)**2 Determine p so that -60 + 5/2*
{ "pile_set_name": "DM Mathematics" }
-441*sqrt(7) + 13577 Simplify (sqrt(190)*1*4 + sqrt(190) + 1*(sqrt(190) + (-2*sqrt(190) - sqrt(190))))/(6*(sqrt(250)*-1 - sqrt(250))). -sqrt(19)/20 Simplify (sqrt(4)/(sqrt(18) + -3*sqrt(18)) + (0 + sqrt(2))*-1*4)**2. 625/18 Simplify (sqrt(1100)*1*-2 - (2 + (sqrt(1100) + 5 - sqrt(1100))))**2*-4. -17796 - 1120*sqrt(11) Simplify sqrt(143)/(4*sqrt(1331) - sqrt(11)) + sqrt(208)*-6*1. -1031*sqrt(13)/43 Simplify ((sqrt(1296)*-3)/((sqrt(3) - (sqrt(3) + sqrt(1536)/sqrt(8) + sqrt(3) - sqrt(3))) + sqrt(3)))**2. 3888/49 Simplify (-5*-6*4*(sqrt(133)/(sqrt(7)*-3) - (sqrt(684) - (1 + sqrt(684)))))**2. -9600*sqrt(19) + 44800 Simplify (sqrt(22)/(sqrt(66)/(-2*sqrt(6))))**2 + ((sqrt(6)/sqrt(3))**2 + 4 - (-3 + sqrt(8)/sqrt(4))). -sqrt(2) + 17 Simplify (0 + (-4 + 3*1*sqrt(72) - ((sqrt(72) + sqrt(72)*-1 + sqrt(72))*-6 + -4)))**2. 5832 Simplify -4*(sqrt(17) + -1 + 3) + -5 - (((sqrt(136)/sqrt(4))/sqrt(2) + 0)*3)**2. -166 - 4*sqrt(17) Simplify (sqrt(42)/(sqrt(4)/sqrt(2)) + sqrt(21) - (sqrt(168)*2 - sqrt(168) - sqrt(168))/sqrt(8))/((sqrt(147)*-1 + sqrt(147))*5 + sqrt(147)). 2*sqrt(7)/7 Simplify (((-2 + sqrt(275))*4 + -3 + 2)*-6)**2. -12960*sqrt(11) + 161316 Simplify -2 + ((sqrt(110) - (sqrt(110) - sqrt(110)*-2)*-1) + sqrt(110))/(sqrt(60)/(-4*sqrt(6)) - sqrt(10)) + -2. -4*sqrt(11) - 4 Simplify -1 + 3 + (-4*sqrt(864))/(sqrt(24)/sqrt(18)). -72*sqrt(2) + 2 Simplify (-1*(-4*sqrt(5)*1 + 2 - sqrt(20)/(sqrt(4) + sqrt(144)*2)))**2. -212*sqrt(5)/13 + 14721/169 Simplify -1*(((0 + sqrt(1377))*1 + -1 + 5)**2 + 3). -1396 - 72*sqrt(17) Simplify (sqrt(8)/(sqrt(4)*-1) + (-2*sqrt(18) + sqrt(18))/sqrt(9) - (sqrt(72) + 4 + sqrt(72))*6)**2. 3552*sqrt(2) + 11528 Simplify (4*(sqrt(1700) - (3 + sqrt(1700))))**2 + sqrt(17) + sqrt(833) + 5 + 5. 8*sqrt(17) + 154 Simplify (sqrt(60)/(sqrt(245)*2))/(sqrt(484) + (-1*sqrt(484) - sqrt(484))*2 - sqrt(484)). -sqrt(3)/616 Simplify ((sqrt(21) - (sqrt(21) + 1*sqrt(756)))*-4)/(sqrt(336)/sqrt(175)). 30*sqrt(7) Simplify (((3*sqrt(297)*-3)/sqrt(11))/(-2*sqrt(144)*5 - sqrt(144)))**2. 243/1936 Simplify 6*(sqrt(99)*3 - sqrt(11) - (sqrt(1100)*-2 + sqrt(1100))**2)*-6. -288*sqrt(11) + 39600 Simplify ((sqrt(3) - (2 + sqrt(3)))*-6 - (sqrt(120)/sqrt(5))/sqrt(8) - (sqrt(675)*-1)/(sqrt(36)/(1*sqrt(4))))**2. 96*sqrt(3) + 192 Simplify ((sqrt(190) - (6*(sqrt(190) - (sqrt(190) + sqrt(190) + 1*sqrt(190))) - sqrt(190))) + sqrt(190))/(sqrt(50)/sqrt(5)*6). 5*sqrt(19)/2 Simplify 0 + -4*sqrt(176)*-4 - (1 + -1 + sqrt(176) + -1). 1 + 60*sqrt(11) Simplify (-5 + 1 + sqrt(80) + 0 + sqrt(5) + -1 + sqrt(55)/(-4*sqrt(33)/sqrt(3) + sqrt(11)))**2*1. -140*sqrt(5)/3 + 1205/9 Simplify (sqrt(432)*-5)/sqrt(4) - (sqrt(27) + 2 + sqrt(243) + 2). -42*sqrt(3) - 4 Simplify 4*(3 + (-4*sqrt(5)*-1 - (sqrt(5) - (sqrt(180) - (sqrt(180)*1 - sqrt(180)))**2))). 12*sqrt(5) + 732 Simplify 2 + (6*sqrt(171)*-1 + -1*(sqrt(171) + -1*sqrt(171)) + sqrt(171) + sqrt(171))**2. 2738 Simplify (((sqrt(68) - 6*sqrt(68)*1) + 6*(1 + sqrt(68)))*3*2)**2. 864*sqrt(17) + 3744 Simplify -3*(((sqrt(833) - (sqrt(833) + (sqrt(833) + -5)*1))*4)**2 + 0). -41184 + 3360*sqrt(17) Simplify (-6*(sqrt(240) - sqrt(240)*1))/(2*sqrt(60)/(sqrt(12) - sqrt(12)*-1)). 0 Simplify ((sqrt(110) + 2*(sqrt(110) + sqrt(110)*-2))/sqrt(11))/(sqrt(40)/(sqrt(24)/sqrt(12))). -sqrt(2)/2 Simplify (6*(0 + 0 + sqrt(245) + -3 + 1))**2. -1008*sqrt(5) + 8964 Simplify (sqrt(121) - 6*sqrt(121)*1)/(1*sqrt(1331)). -5*sqrt(11)/11 Simplify 3 + (sqrt(143)/(((sqrt(99) - 4*sqrt(99)) + sqrt(99))/sqrt(9)) - (5 + sqrt(104)/sqrt(2))). -5*sqrt(13)/2 - 2 Simplify (-4*(-1 + -2*sqrt(1900))*2)**2. 2560*sqrt(19) + 486464 Simplify (-1 + -1*sqrt(425))**2 - (sqrt(425) + (0 + sqrt(425) + -4 + sqrt(425))**2 + sqrt(425)) - ((sqrt(612) - (sqrt(612) + sqrt(612)*-2)**2) + -3 + 3). -678 + 74*sqrt(17) Simplify 2*-1*(((2*sqrt(56))/sqrt(8) + sqrt(7) - (sqrt(7) + 0 + 5)) + -5) + -5. -4*sqrt(7) + 15 Simplify (5*(-2 + (2 + sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192) + sqrt(192)) - (sqrt(192)*-1 + 0 + (3 + sqrt(192) + 0 - sqrt(192))))**2*-6. -41526 + 1728*sqrt(3) Simplify -3*(3*-2*sqrt(2299) + sqrt(2299) + sqrt(2299)*-1 + -2)**2. -248304 - 792*sqrt(19) Simplify ((4*sqrt(833) - sqrt(833)) + -2 - ((3*sqrt(17)*-1 - sqrt(17)) + 1))**2. -150*sqrt(17) + 10634 Simplify (sqrt(1539) + 1)*3 + (0 + sqrt(475))*3. 3 + 42*sqrt(19) Simplify ((sqrt(76)*-1*1 - (sqrt(76) + -2 + sqrt(76) + 2 + sqrt(76))) + -1 + 0)**2. 16*sqrt(19) + 1217 Simplify (-3 + 2 + (sqrt(68) + (-4*(sqrt(68) + 0 + sqrt(68)) - sqrt(68)))*-6)**2. -192*sqrt(17) + 156673 Simplify (-1*sqrt(588))/(sqrt(150) + sqrt(150)*2) + 4. -7*sqrt(2)/15 + 4 Simplify 1 + (1*sqrt(7))**2 + -4 - (1 + (-2 + sqrt(700) - sqrt(700)))**2. 3 Simplify (sqrt(88)/(sqrt(8) - (1*sqrt(392) + sqrt(392) + sqrt(392))) + 5 + -4 + sqrt(11)*-2)**2. -41*sqrt(11)/10 + 18891/400 Simplify (2 + sqrt(468) + 3 - (-5 + 1 + sqrt(468))**2) + 1. -478 + 54*sqrt(13) Simplify (-2*(sqrt(7) - sqrt(63)/(sqrt(9)*2)))**2 - (5*(sqrt(7) - sqrt(35)/sqrt(5)) + 5). 2 Simplify ((-1*sqrt(84)*-1)/sqrt(3))/(sqrt(40)/(sqrt(100)/(-2*sqrt(10)))). -sqrt(7)/2 Simplify 0 + (2 + sqrt(2299))**2 + 2 + sqrt(2299) + 0 + 4. 55*sqrt(19) + 2309 Simplify (-2*sqrt(7))**2*-3 + sqrt(700)*-1 + (sqrt(252) + sqrt(21)/sqrt(27))**2 + 2. -10*sqrt(7) + 1789/9 Simplify (-3 + sqrt(19) + 1)**2*-1 - (sqrt(228) + -5*2*sqrt(228) + sqrt(228))/sqrt(12). -23 + 12*sqrt(19) Simplify ((2*sqrt(4896)*6)/(sqrt(20)/(-1*sqrt(640) - sqrt(640))))**2. 90243072 Simplify -4*(-3*sqrt(363)*3 - (((sqrt(363) - (4*sqrt(363) + sqrt(363))) + sqrt(363))*-1)**2) + 5. 396*sqrt(3) + 13073 Simplify (-5*sqrt(1617)*-2)/(sqrt(75) - sqrt(75)*1 - sqrt(75) - ((sqrt(432) - sqrt(432)*-2) + sqrt(432) + sqrt(3))). -35*sqrt(11)/27 Simplify (sqrt(77)*-2*2 - -1*sqrt(77)*-1)/(sqrt(252) + sqrt(252)*-2*-6 + sqrt(252)). -5*sqrt(11)/84 Simplify -2 + 3*-1*sqrt(245) + 1. -21*sqrt(5) - 1 Simplify (sqrt(192)/sqrt(8)*-6)/(sqrt(80)/sqrt(90)). -18*sqrt(3) Simplify -5 + (sqrt(66)*-3*3)/(sqrt(96)*2). -5 - 9*sqrt(11)/8 Simplify 3*((sqrt(3630) + (sqrt(3630) + sqrt(3630) + sqrt(3630)*1)*6 - sqrt(3630)) + sqrt(3630))/(sqrt(20)/sqrt(32) + sqrt(50)/(sqrt(20)/sqrt(4))). 2508*sqrt(3)/5 Simplify sqrt(16)/(sqrt(512)*2) - sqrt(14)/(sqrt(7) - 2*sqrt(28)/sqrt(4)). 17*sqrt(2)/16 Simplify (sqrt(756)/sqrt(192) - sqrt(63))/(sqrt(99)/sqrt(176)). -3*sqrt(7) Simplify -5 + ((6*sqrt(1053) - (2*sqrt(78))/sqrt(6)) + -3)**2. -312*sqrt(13) + 35156 Simplify 1 + 4*(4 + -2*1*sqrt(80) + -4)**2. 1281 Simplify -4 + (2*(-3*sqrt(88) - sqrt(88)))/(2*1*sqrt(8))*4. -16*sqrt(11) - 4 Simplify -4 + 4*(1*(-2*(sqrt(720) + sqrt(720)*2) + -2))**2. 1152*sqrt(5) + 103692 Simplify (4*(3 + sqrt(832) + 3 + -5)*1)**2. 256*sqrt(13) + 13328 Simplify (sqrt(256) + (sqrt(256)*1 - sqrt(256))*-4 + sqrt(256) - sqrt(256))/((sqrt(98)*2 - sqrt(98))*2 - sqrt(98))*4. 32*sqrt(2)/7 Simplify ((sqrt(114)/(sqrt(6)*-1))**2 + (sqrt(76)/sqrt(4)*-1)**2)*-4. -152 Simplify (-2 + -5*1*sqrt(343)*1*-6)**2. -840*sqrt(7) + 308704 Simplify (-1*5*(-1*sqrt(833) - sqrt(833)) - ((sqrt(136)*-2 + sqrt(136) - sqrt(136))*-3)/(sqrt(64)/(sqrt(32)/sqrt(4))))**2. 69632 Simplify (1 + 4 + 1*sqrt(343) + -4)**2. 14*sqrt(7) + 344 Simplify 5 + -5 + (sqrt(300) + -2 + 1)**2*-3. -903 + 60*sqrt(3) Simplify ((4*(sqrt(270) - -2*-1*sqrt(270)))/(sqrt(294)*-2*6))**2. 5/49 Simplify ((sqrt(336) - 4*(sqrt(336)*2 + sqrt(336) + sqrt(336)))/sqrt(12))/((sqrt(484)*-1 - sqrt(484) - sqrt(484)) + (sqrt(4) + sqrt(36) + sqrt(4))*-1). 15*sqrt(7)/38 Simplify -1 + 1*sqrt(11)*-2 - (sqrt(704) + 1 - sqrt(88)/(sqrt(8)*1))**2. -541 - 16*sqrt(11) Simplify (-1*sqrt(135))/(sqrt(84)/sqrt(7)). -3*sqrt(5)/2 Simplify (3*sqrt(1539)*-5)**2 + sqrt(19) + ((sqrt(209)/(sqrt(11)*-1))**2 - sqrt(19)) + sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171)*2)**2)) + sqrt(19). 4*sqrt(19) + 345610 Simplify 4*((-5*(-2 + sqrt(153)))**2 + sqrt(51)/sqrt(3)*-2 + -5 + sqrt(68)/sqrt(4)). -1204*sqrt(17) + 15680 Simplify (-2 + sqrt(432) + -4*sqrt(6)/sqrt(2) - (-4 + sqrt(147))*-2)**2. -440*sqrt(3) + 1552 Simplify (-4*sqrt(42)/(sqrt(6) - sqrt(96))*-4 - (-4 + sqrt(448) + 1 + -3))**2. -160*sqrt(7) + 11524/9 Simplify (-2 + (0 + -6*(-2 + sqrt(704))*2)*-5)**2. -117120*sqrt(11) + 2549284 Simplify (2*(-1 + -5 + 6*(0 + sqrt(125)) + -1 + sqrt(125) + -5))**2. -3360*sqrt(5) + 25076 Simplify ((3 + ((-2*sqrt(3564) - sqrt(3564))*5 - sqrt(3564)) + 3 + sqrt(3564) + 0)*
{ "pile_set_name": "DM Mathematics" }
- 34*m**2 - 133*m - 112. Let p(g) = -8*o(g) + 5*w(g). Factor p(n). 2*(n + 2)**2*(n + 7) Let q be (-1)/(-4) - (9/12)/3. Let a(f) be the first derivative of 1/24*f**6 + q*f**2 + 0*f**3 + 0*f - 1/16*f**4 - 3 + 0*f**5. Factor a(w). w**3*(w - 1)*(w + 1)/4 Let p(m) be the first derivative of -m**5/10 + 17*m**4/16 - 10*m**3/3 + 2*m**2 - 292. Find v, given that p(v) = 0. 0, 1/2, 4 Factor -2/3*d**3 + 1/3*d**4 + 1/3 + 1/3*d + 1/3*d**5 - 2/3*d**2. (d - 1)**2*(d + 1)**3/3 Let b(h) = 5*h**3 - 7*h**2 - 7*h + 7. Let u(o) = 3*o**3 - 3*o**2 - 4*o + 4. Suppose 13*i - 5*i = -32. Let n(z) = i*b(z) + 7*u(z). Factor n(l). l**2*(l + 7) Let d(o) be the second derivative of o**5/140 + 19*o**4/42 - 106*o. Find z, given that d(z) = 0. -38, 0 Let o(n) be the second derivative of -n**4/18 + 8*n**3/9 - 5*n**2 - 5*n - 3. Determine t so that o(t) = 0. 3, 5 Let p = 835 - 832. Let y(c) be the third derivative of -1/3*c**4 + 0 + p*c**2 + 0*c - 1/10*c**5 - 1/3*c**3. Determine j so that y(j) = 0. -1, -1/3 Let z(d) = -d**3 + 8*d**2 + d - 6. Suppose -3*x - 19 = -5*x + u, -u = 5*x - 37. Let a be z(x). Factor -p**4 - a*p**2 + p + 2*p**5 - 3*p**5 + 3*p**4. -p*(p - 1)**3*(p + 1) Solve -12*f - 14*f**2 + 3*f**4 - 759 - 4*f**2 + 12*f**3 + 774 = 0 for f. -5, -1, 1 Let p(y) = -6*y**2 - 506*y. Let k(f) = f**2 + 83*f. Let d(h) = -34*k(h) - 6*p(h). Factor d(s). 2*s*(s + 107) Let c(q) be the first derivative of 1/9*q**4 + 2/27*q**6 + 8/45*q**5 + 0*q**3 + 0*q**2 + 21 + 0*q. Let c(x) = 0. What is x? -1, 0 Let s(j) be the second derivative of -1/15*j**6 + 0 - 1/10*j**5 - 18*j + 1/21*j**7 + 0*j**3 + 0*j**2 + 1/6*j**4. Factor s(o). 2*o**2*(o - 1)**2*(o + 1) Let g(l) be the first derivative of -l**3/3 + 7*l**2/2 + 44*l + 643. Determine y so that g(y) = 0. -4, 11 Suppose 0 = -2*q + 3*q - g - 2, 0 = q - 2*g - 1. Suppose 4*p - 13 = -q*k - 4, 5*k - 15 = -p. Suppose -2*b**3 + 4/5*b + 6/5*b**2 + p = 0. Calculate b. -2/5, 0, 1 Let k(a) = -2405*a - 14414. Let s be k(-6). Factor 0 + s*x + 9/2*x**4 + 36*x**2 + 1/4*x**5 + 97/4*x**3. x*(x + 1)**2*(x + 8)**2/4 Suppose -5*m = 5*u - 220, 0*m = -4*m + 4*u + 160. Let 3*r + m - 47 + 7*r - 5*r**2 = 0. What is r? 1 Let f(o) be the third derivative of 1/60*o**5 - 7*o**2 + 1/24*o**4 + 1/360*o**6 + 1/18*o**3 + 0*o + 0. Determine h so that f(h) = 0. -1 Suppose 101*w - 229*w + 56 = -100*w. Let -4/7*y**4 + 20/7*y**w - 20/7*y**3 + 16/7*y - 16/7 + 4/7*y**5 = 0. What is y? -2, -1, 1, 2 Determine n so that -1/4*n**4 + 0 - 1/8*n**5 + 0*n + 0*n**2 + n**3 = 0. -4, 0, 2 Let h(g) be the first derivative of g**4/18 + g**3/3 + 2*g**2/3 + 18*g + 5. Let a(m) be the first derivative of h(m). Factor a(x). 2*(x + 1)*(x + 2)/3 Let n be 0 - (-1 + 1 + -2). Factor -s**2 - 26*s - s**2 + 6*s**n + 16 + 6*s**2. 2*(s - 1)*(5*s - 8) Let t(d) be the third derivative of -d**5/120 + 5*d**4/48 - d**3/2 + 28*d**2 - 2. Factor t(g). -(g - 3)*(g - 2)/2 Let d be 4/(6*2) - (-87)/(-207). Let n = d + 27/46. Determine g so that 1/2*g**2 + n*g**4 - 1 + 3/2*g - 3/2*g**3 = 0. -1, 1, 2 Let t = 1163 - 2311/2. Factor t*h**2 + h**3 + 12*h - 8. (h + 4)**2*(2*h - 1)/2 Suppose 2*c - 15 - 11 = 0. Let 9*n + c*n**3 + 6*n**2 - 5 - 16*n**3 + 5 = 0. Calculate n. -1, 0, 3 Let p(j) be the second derivative of 1/2*j**3 - 12*j - 3/20*j**5 + 1/30*j**6 - j**2 + 0 + 1/12*j**4. Factor p(m). (m - 2)*(m - 1)**2*(m + 1) Let -2/9*x**4 - 58/3*x**3 - 836/9*x**2 - 656/9 - 440/3*x = 0. What is x? -82, -2, -1 Let c(l) be the third derivative of l**6/40 - 13*l**4/8 + 6*l**3 - l**2 + 218*l. Factor c(q). 3*(q - 3)*(q - 1)*(q + 4) Factor 4*a**2 + a**2 - 22*a - a**2 - 4*a - 2*a + 40. 4*(a - 5)*(a - 2) Let c(h) = -h**2 + 22*h - 38. Let q be c(20). Suppose 2*j = 3*o + 19, -3*j + q*o + 3*o = -31. Factor 1/3*z**j + 2/3*z + 1/3. (z + 1)**2/3 Let r(t) be the second derivative of -t**4/6 + 7*t**3 + 46*t**2 - 5*t - 3. Factor r(v). -2*(v - 23)*(v + 2) Let g(o) be the third derivative of -o**7/840 + o**5/120 - 3*o**3/2 - 10*o**2. Let v(q) be the first derivative of g(q). Determine k, given that v(k) = 0. -1, 0, 1 Let z(x) = 4*x**4 + 26*x**3 + 102*x**2 + 174*x + 94. Let h(w) = -w**4 - w**3 + w + 1. Let j(n) = -2*h(n) - z(n). Find p such that j(p) = 0. -4, -3, -1 Let f(b) be the first derivative of -b**3/6 - 7*b**2/2 + 16*b + 352. Factor f(l). -(l - 2)*(l + 16)/2 Suppose 0 = 4*c - 3*f - 32, 2*c - 26 = -0*c + 4*f. Factor -20*t**3 - t + 24*t**3 + 8*t**2 + c*t - 16*t. 4*t*(t - 1)*(t + 3) Let g be (8 + (-222)/24)*1/(-60). Let x(q) be the third derivative of 0*q - 1/240*q**5 + 0*q**3 + 0 + 5*q**2 + g*q**4. Factor x(o). -o*(o - 2)/4 Let q(s) be the third derivative of -s**5/80 + s**4/4 - 3*s**3/2 + 3*s**2 + 4. Solve q(d) = 0 for d. 2, 6 Let b be (-2)/6*(-5 - -4). Let v(y) = 55*y + 277. Let x be v(-5). Factor 2/3*q**4 - 2/3*q**x - 1/3*q + 0*q**3 + 0 + b*q**5. q*(q - 1)*(q + 1)**3/3 Let i be (108/20)/(11/5 + -2). Let z = 83/3 - i. Factor -z + o**2 - 1/3*o. (o - 1)*(3*o + 2)/3 Suppose -y + 8 = -p, -2*y + 3*p + 12 = -7. Suppose 0*u - 4*h - 15 = -5*u, y*u - 3*h = 15. Factor -12*b**2 + b**u + 0*b**3 + 9 - 25 + 24*b + b**3. 2*(b - 2)**3 Let c = -1164 + 1887. Let o be (3 + c/(-204))*-8 - 4. What is f in -o*f - 2/17 - 2/17*f**3 - 6/17*f**2 = 0? -1 Let r(c) = -c**3 + 5*c**2 + 2*c - 10. Suppose 55*l = 52*l + 15. Let m be r(l). Factor 3/5 + 0*w + 3/5*w**4 - 6/5*w**2 + m*w**3. 3*(w - 1)**2*(w + 1)**2/5 Factor 6*l - 6*l**2 + 5*l**2 + l**2 - 2*l**2. -2*l*(l - 3) Find u, given that 30/11*u**2 + 28/11*u - 2/11 = 0. -1, 1/15 Determine a so that -52/11*a**3 - 8/11*a - 174/11*a**2 + 232/11 + 2/11*a**4 = 0. -2, 1, 29 Factor -9*a**2 + a**3 - 23*a - 9*a**3 - 15 + 4*a**3 + 3*a**3. -(a + 1)*(a + 3)*(a + 5) Let u(f) be the third derivative of -f**5/120 + 3*f**4/8 - 17*f**3/12 + 22*f**2. Factor u(l). -(l - 17)*(l - 1)/2 Let n(p) be the third derivative of -p**8/336 - p**7/84 - p**3/2 + 12*p**2. Let h(i) be the first derivative of n(i). Determine r so that h(r) = 0. -2, 0 Let g be ((4/10)/((-15)/75))/(-1). Suppose -2*m = g*m + 3*a + 3, -5*m + 3 = -3*a. Solve 2/3*o**5 + 0*o**4 + m*o - 2*o**3 + 0 + 4/3*o**2 = 0 for o. -2, 0, 1 Let z(q) be the second derivative of -q**6/30 + 2*q**5/5 + 13*q**4/6 - 28*q**3 - 441*q**2/2 + 16*q + 2. Factor z(c). -(c - 7)**2*(c + 3)**2 Let o(f) be the third derivative of -f**5/270 - f**4/12 - 45*f**2. Find m such that o(m) = 0. -9, 0 Suppose -4*w**4 - 98*w**3 + 106*w**3 + 4*w**2 - 5*w - 3*w = 0. What is w? -1, 0, 1, 2 Let r(c) be the second derivative of -c**7/840 + c**6/120 - c**5/60 - c**3/3 + 43*c**2/2 + 7*c + 2. Let n(x) be the second derivative of r(x). Factor n(g). -g*(g - 2)*(g - 1) Factor 2/9*r**3 + 0*r**2 - 8/9*r + 0. 2*r*(r - 2)*(r + 2)/9 Let c = 66 - 63. Find o, given that 0*o - 12/5*o**2 + 0 + 16/5*o**c = 0. 0, 3/4 Let g(u) be the third derivative of -u**5/20 - 9*u**4/8 - 14*u**3/3 - 17*u**2. Let l(q) = 35*q**2 + 325*q + 335. Let c(t) = 25*g(t) + 2*l(t). Factor c(a). -5*(a + 2)*(a + 3) Let q = -1910/153 - -216/17. Find s such that -q*s**4 + 0 - 8/9*s + 2/3*s**3 + 0*s**2 = 0. -1, 0, 2 Let r = 1019/1470 + -13/490. Factor -r*n + 0 - 1/3*n**2. -n*(n + 2)/3 Let c be (-7)/10*(-24)/112. Let x(f) be the second derivative of -12/7*f**2 + c*f**5 + 0 + 13/14*f**4 - 2*f + 10/7*f**3. Factor x(g). 3*(g + 2)**2*(7*g - 2)/7 Suppose -9*b - 843 + 861 = 0. Let a(c) be the first derivative of -15/2*c**b - 10 - 1/4*c**4 - 7/3*c**3 - 9*c. Factor a(w). -(w + 1)*(w + 3)**2 Let j(v) = 136*v**3 - 4*v**2 - v - 1. Let x be j(-1). Let z = -138 - x. Factor 4/9*k + 2/3*k**5 + 22/9*k**4 + z*k**2 + 0 + 10/3*k**3. 2*k*(k + 1)**3*(3*k + 2)/9 Let z(o) = -o**4 + o**2 + o. Suppose -5*b + y = 17, 3*b + 0 + 3 = 3*y. Let k(i) = -i**5 + 3*i**4 - 4*i**2 - 4*i. Let v(m) = b*z(m) - k(m). Solve v(r) = 0. -1, 0 Factor 7*q**2 - 735 + 857 - 9*q**2 - 120*q. -2*(q - 1)*(q + 61) Let s(c) be the first derivative of -2*c**5/25 - 5*c**4/2 - 94*c**3/15 - 23*c**2/5 - 222. Let s(t) = 0. Calculate t. -23, -1, 0 Factor -6 + 1/2*g + 1/2*g**2. (g - 3)*(g + 4)/2 Let g(a) = -a**2 + 19*a - 20. Let y(n) = -2*n**2 + 19*n - 19. Let z(b) = -3*g(b) + 2*y(b). Let j be z(-20). Let -1/4*m**j - 1/4 - 1/2*m = 0. Calculate m. -1 Let w(y) be the second derivative of -y**4/4 - y**3 - 424*y. Suppose w(n) = 0. What is n? -2, 0 Let p be 17/(1190/(-4)) - (-712)/210. Factor -1/3*m**2 + p*m - 25/3. -(m - 5)**2/3 Factor 0 + 0*o**2 + 2/
{ "pile_set_name": "DM Mathematics" }
earrange ((y + 1 - 1)*(5 + 0 - 3) + 1 + 2*y - 1 - 1414*y - 7*y - 15*y - 955*y)*(2*y**2 - 2*y**2 + y**2) to f*y**3 + o + z*y**2 + g*y and give f. -2387 Rearrange 28 - 6*v + 11*v + 4*v + v**2 - 7*v to y*v + o*v**2 + z and give y. 2 Express 145*b + 155*b - 29*b + 141*b - 79*b in the form i + h*b and give h. 333 Express (-8*a**2 - 204*a**2 + 0*a**2)*(-4 + 2 + 3) + (2*a - 2 + 2)*(-3*a + 2*a + 0*a) as n + r*a + c*a**2 and give c. -214 Rearrange -24*a + 203*a + 36*a to the form m*a + q and give m. 215 Express 9559*q**3 + 3*q**2 - 9560*q**3 - 41*q - 2 + 2 as r*q**3 + n*q + s*q**2 + l and give n. -41 Rearrange (-1 + 0 + 2*y + 2)*(-2786 + 1205 - y + 1164) to q + k*y**2 + u*y and give k. -2 Rearrange m**4 - 2*m**2 - m**3 - 4*m + 2 + 7*m - 2*m**3 to x + q*m**3 + t*m**4 + s*m**2 + b*m and give t. 1 Express 564*z**2 + 18 - 11 - 663*z**2 - 10 as g*z + q*z**2 + s and give s. -3 Rearrange (-c**2 + 4*c**2 - 4*c**2)*(-c + 5*c - 5*c) - 2*c**3 + 6*c**3 - 2*c**3 + 103*c - 75 + 70 - 19*c**3 - 101*c to m*c**2 + t*c + r + v*c**3 and give r. -5 Rearrange (1 - 1 + n)*(-3 + 2 + 3) - n + 2*n - 2*n + (177 - 109 + 119)*(6 - 2 + 0)*(-5*n + 3*n + n) + 2*n + 1 - 1 to g*n + f and give f. 0 Express -2*g + 2*g + 3*g**2 + (1503 - 1503 + 185*g)*(3 - 3 + 2*g) in the form d + l*g**2 + o*g and give l. 373 Rearrange -5*a**3 - 2*a - 24 + 29 - 5 + 0 + 16*a**2 to the form g*a**2 + c + i*a + p*a**3 and give g. 16 Rearrange -3 - 8 - 39 - 4*q**2 + 3*q**3 - q**4 - q - 3*q**2 + 6*q**2 to l*q**2 + z*q**4 + r + f*q**3 + s*q and give r. -50 Express 2*l**2 + 2921*l**3 - 2916*l**3 - 161*l - 2*l**2 in the form a*l + n*l**3 + x*l**2 + j and give a. -161 Rearrange -4*f + 4*f - 2*f**2 + (5*f - 2*f - 2*f)*(f - 2 + 2) - 26737*f + 26737*f - 175*f**2 to the form q + r*f**2 + i*f and give r. -176 Express (-17 - 5 - 23)*(-372 + 351 - 3*a + 6*a) + 0*a - 3*a + a as i*a + p and give i. -137 Express -6*b**3 - 7*b**3 + b**3 + (-b + 2 - 2)*(-b**2 + b - b) + 9*b - 9*b - b**3 as s*b**2 + i + n*b + j*b**3 and give j. -12 Express 679 - 678 - 13*m**2 - 175*m**2 in the form n*m**2 + x + u*m and give x. 1 Rearrange (3 + 2 - 1)*(-2*q**2 + 2*q**2 - q**2)*((2 + 0 - 1)*(-3 + 3 + 3) - 1 - 2 + 8) to the form l + c*q**2 + r*q and give c. -32 Rearrange (-112*h + 376*h + 2949 - 2957)*(1 - 2 + 2) to x*h + g and give x. 264 Rearrange 444*u + 387*u - 784*u to the form a*u + q and give a. 47 Rearrange 4*p**2 - 2*p - 461 + 917 + p**3 + 2*p**4 - 459 to the form u*p**4 + b*p**2 + f*p + i*p**3 + q and give q. -3 Express -165*p**2 - p - 3*p**3 - p**4 + 3*p**3 + 324*p**2 - 161*p**2 + 22 in the form q*p**2 + m*p**3 + j + w*p**4 + l*p and give j. 22 Express (-75*s + 75*s + 25*s**3 + (0 + 3 - 4)*(-1 + 1 - 2*s**3))*(-1 + 2 + 2) in the form f*s + y*s**3 + x*s**2 + o and give y. 81 Express -2*t**4 + 19 - 19 + 1411*t**2 - 1768*t**2 + 2*t**3 in the form n*t**2 + v*t + w*t**3 + r + p*t**4 and give w. 2 Rearrange -i**3 + 8*i + 0*i**4 + 4 + 5*i**4 - 12*i**4 + 4*i**4 to the form x + q*i**3 + p*i + c*i**4 + a*i**2 and give c. -3 Rearrange (4*t + 8*t - 4*t)*(3 - 4 - 1)*(4 - 4 + 1)*(4 + 9 - 4) to the form u + j*t and give u. 0 Rearrange o - 19*o**2 + 57*o**2 + 34*o**3 - 18*o**2 - 19*o**2 to the form s*o**2 + d*o**3 + q*o + c and give q. 1 Express -22*o**2 + 18*o**3 - 25*o**2 + 60*o**2 - 29*o**2 as g*o + c + n*o**3 + w*o**2 and give w. -16 Express -10*u**3 + 16*u**3 - u**4 - u**2 - 6*u**3 - 9 - u**2 + u in the form f*u + g*u**2 + w + j*u**4 + r*u**3 and give f. 1 Rearrange -49 + 32 - 121*f + 2*f**2 + 18 to the form l*f + n + c*f**2 and give n. 1 Express 2090 - 3*c**2 - 2090 - 12*c + c**3 - 3*c**3 as r*c**3 + l + t*c + u*c**2 and give r. -2 Rearrange (2*p - 2*p + p + (2 + 2 - 2)*(-3*p + 7*p - 2*p) + 13*p - 26*p - 42*p)*(-4 + 5 + 2) to c*p + j and give c. -150 Rearrange -51*x**2 + 4*x**4 - x**3 - 2 + x - x**4 + 4*x**4 + 49*x**2 to the form o + c*x + k*x**4 + q*x**3 + l*x**2 and give k. 7 Express (4 - 5 + 2)*(0*o + 3*o + 2*o) + 0*o + 2*o + 0*o - 13*o - 5*o + 2*o as y + b*o and give b. -9 Express -3*j - j + 7*j + 5*j - 5*j + j + (-2 + 3 - 7)*(-6*j - 14 + 14) as k*j + o and give k. 40 Rearrange 31 + 18 + 94 - 4*g**3 + 20 + 2*g**3 to l*g**3 + x + r*g**2 + d*g and give x. 163 Rearrange (-g + 5*g - 3*g)*(4 + 4 - 5) + 10*g - 8*g - 34*g + (1 - 2*g - 1)*(3 - 2 - 4) to the form z + i*g and give i. -23 Express -1 - 141*m - 26*m + 1 as w*m + f and give w. -167 Express 69*n**2 - 2*n - 49*n**2 + 7 - 41*n**2 as v*n + l*n**2 + p and give p. 7 Express -8*y - 6*y**3 + y**2 - 2*y**3 + 4*y**3 + 5*y as t + n*y**3 + c*y + o*y**2 and give n. -4 Rearrange (3*h**2 - 2*h**2 + h**2)*(-4 + 4 + 2*h) + (-h - 4*h + 38*h)*(6*h**2 + h**2 - h**2) + 2 + 2*h**3 - 2 to n*h**2 + r*h + q + w*h**3 and give w. 204 Rearrange -11*j**2 + 13 + 7*j**2 + 3*j**3 + 6*j**2 to the form l + r*j**2 + p*j**3 + x*j and give p. 3 Express -2*g - 137 - 179 + 200 as w + u*g and give w. -116 Rearrange 13 + 12*d + 21*d - 2 - 16*d to o + c*d and give o. 11 Rearrange (5 + 4 - 5 - 2*l)*(0*l + l - 2*l)*(-2 - 2 + 5)*(-16 + 4 + 54) to the form q*l + h*l**2 + k and give q. -168 Rearrange -11*w**2 - 2*w**4 - 2*w**3 - 17*w**2 + 11*w**2 + 2 to y*w**2 + o*w**4 + g*w**3 + s*w + f and give o. -2 Express -b**2 - 8731*b + 8731*b - 199 in the form h*b + c*b**2 + z and give z. -199 Rearrange 23*b**3 - 21*b**3 - 3*b**2 + 2 + 5*b**2 - 2*b - b to p*b**3 + t + s*b + w*b**2 and give s. -3 Rearrange -861697*y - 663*y**2 + 861697*y to the form s*y**2 + z*y + x and give s. -663 Rearrange -21*g**2 - 6*g**2 + 4*g + 3*g - 2*g**2 + 0*g to b*g**2 + m + q*g and give b. -29 Express (i**2 + 4*i**2 - i**2)*(124 - 124 + 61*i) in the form w*i + b*i**3 + l + a*i**2 and give b. 244 Rearrange -4*c + 2*c + 3*c + (2 - 6 + 0)*(-c + 4*c + 2*c) + 2*c + 0*c + 0*c - 7 + 7 + 5*c to the form n*c + t and give n. -12 Rearrange (h**2 - 4*h**2 + 5*h**2)*(h - 183 - 3*h + 206) to the form o + d*h**3 + v*h + w*h**2 and give w. 46 Rearrange 4*m**2 + 2*m**3 + 1 - m**2 + 611*m**4 + 2*m - 2 - 608*m**4 to q*m**4 + y*m**3 + u + b*m + o*m**2 and give o. 3 Rearrange (-30*u + 56*u + 2 - 42*u + (1 + 3 - 2)*(-2*u - 4 + 4))*(-4*u - 2*u + 0*u) to the form h*u + b*u**2 + l and give h. -12 Rearrange 28 - 270*o**2 - 98 + 33 + 37 to the form z*o**2 + j*o + c and give z. -270 Express -13*u + 8*u**3 + 6*u + 4*u**2 + 5*u + 5*u as m + f*u + q*u**2 + c*u**3 and give f. 3 Express 1 - 5 - 19366*k + 4 + 19871*k as h + a*k and give a. 505 Express -139 - 114*d**2 + 139 + (-1 + 1 + d)*(2*d - d + 0*d) + (2 - 3*d - 2)*(d + 4*d - 3*d) as k*d**2 + f*d + l and give k. -119 Express 6 - 33*y + 34*y - 36*y in the form h*y + d and give d. 6 Express 3458 - 1731 - 89*q**4 - 1725 - 33*q**2 + (-5*q + q + 3*q)*(q**2 + q**3 - q**2) as x*q + y*q**2 + w + p*q**3 + m*q**4 and give w. 2 Express -137*b**2 + 151*b**2 + 5*b**4 - 2*b**3 + b - 6*b**4 - 1 in the form q*b**4 + i*b + y + u*b**3 + t*b**2 and give t. 14 Express -106*v + 265*v + 331*v + 41*v - 89*v in the form k*v + z and give k. 442 Express -710*z - 5*z**2 - 1 + 353*z + 357*z in the form p*z + t*z**2 + i and give t. -5 Rearrange (-2*t + t + 0*t)*(-45*t + 35*t - 41*t + 2*t**2) to the form p + d*t**3 + n*t + r*t**2 and give r. 51 Rearrange 34 + 91 + 361 + 122 - 32 + n to the form i + h*n and give h. 1 Express 12*a - 6*a - 2*a**2 + 0*a**4 - 9*a + 2*a**3 + 4 + a - a**4 in the form z + x*a**2 + u*a + t*a**3 + o*a**4 and give x. -2 Express 5*w - w + 6841*w**2 - 2*w - 6920*w**2 in the form r*w + x + j*w**2 and give r. 2 Rearrange (-1 - 6*h + 1)*(4*h - 3*h + h) + (-12*h + 27 - 27)*(-3*h + 0*h + h) to the form k*h**2 + j + d*h and give k. 12 Express 3*n - 2 + 13*n + 3 + 1 - 89757*n**2 + 89759*n**2 in the form j + g*n + d*n**2 and give j. 2 Express (-18 - 180 - 1352 - 690)*(2*v - v + 0*v) in the form o*v + z and give o. -2240 Rearrange -8*j + 2*j + j + (-4*j + 4*j - 2*j)*(4 - 3 + 3) - 19*j + 34*j - 13*j to the form d + v*j and give v. -11 Express -151*w - 154*w + 306*w - 161*w**2 in the form b*w**2 + c*w + n and give b. -161 Rearrange 3*a**2 - 7*a**2 + a + a**3 - a**4 + 389 - 388 to k*a**4 + x*a**2 + u*a**3 + g*a + y and give x. -4 Express -2 + 2*j**3 - 2*j**4 - 9*j**2 - j**2 + 0 + 8*j**2 - 16*j as b*j**4 + s*j**2 + p*j**3 + h + w*j and give h. -2 Express (10 + 7 - 3)*(-3*q - 3*q + 4*q - q + 0*q + 0*q + (0*q - q + 2*q)*(4 - 5 + 0) + 4*q + 11*q + 6*q) as p + f*q and
{ "pile_set_name": "DM Mathematics" }
-g - 8 = 5*q for q. -3 Let d = -9 + 12. Solve d*g = -0*g for g. 0 Let t(m) be the third derivative of -m**6/120 + 11*m**5/60 - 5*m**4/12 + m**3/2 - m**2. Let b be t(10). Solve -b*p = -5*p + 2 for p. 1 Let v(h) = 7*h**2 + 13*h + 12. Let m(p) = p**2 + p + 1. Let f(g) = -6*m(g) + v(g). Let x be f(-7). Solve -22 + x = -4*u for u. 4 Let y be 2/(-2) - -7 - (15 + -14). Let l(a) = a**3 - 3*a**2 - 5*a + 6. Let g be l(4). Suppose n - 15 = b - g*b, -69 = -4*n + y*b. Solve x - n = 5*x for x. -4 Suppose -y + 5*y - 5*w + 17 = 0, 4 = -3*y + 2*w. Suppose 16 = -y*b + 4*b - 4*s, 7 = -b - 3*s. Suppose -6 + 44 = b*i. Solve -7 + i = -3*j for j. -4 Suppose r = 4*j - 21, 0*r - 10 = 2*r. Suppose 4*a + 32 = j*w, a + 1 - 18 = -4*w. Let h be (0 - 0) + 238/17. Solve h = w*n - 6 for n. 4 Suppose -4*s + 17 = 5*m, -2*s - 4*m + 10 = -0*m. Solve -6 = -y + s*y for y. -3 Suppose -2*b - 4 = 3*d + 2*b, -4*b = 5*d - 4. Solve d*o + 1 - 17 = 0 for o. 4 Let b(c) = c**2. Let f be b(2). Solve 0 = f*h + 22 - 2 for h. -5 Suppose 2*t + 2*r = 6, -21 = -4*t + 5*r - 0. Solve t*p + 2 = 6*p for p. 1 Let t be 8/5 + (-6)/(-15). Solve -4 = -t*k - 2 for k. 1 Suppose -3*q - c - 1 = -3, -4*q - c + 2 = 0. Let m(j) = 4*j + q*j - 3 + 3*j - j**2. Let r be m(6). Solve r*k = k - 4 for k. -2 Let d = -37 + 62. Let j(i) = -i**2 + 4*i + 5. Let o be j(4). Solve -o*z - d = -0*z for z. -5 Let y(p) be the third derivative of -p**4/24 + 3*p**3/2 - 3*p**2. Let l be y(6). Solve a - l*a = -2 for a. 1 Let y(k) = -k**2 + 4*k + 19. Let w be y(4). Solve 0 = 3*l - 7 + w for l. -4 Let x = -1 - 2. Suppose 2*l = 5*l. Let u be (l*x/6)/(-1). Solve u = -3*v - 0*v + 15 for v. 5 Suppose 3*w + 0*w - 6 = 0. Suppose -m = -w*m. Solve -9 = -m*l - 3*l for l. 3 Suppose 0 = 2*p - 5*x - 66, -2*p - 2*x - 31 = -3*p. Solve 4*f + p = 3 for f. -5 Let w = -5 - -3. Let l = w - -7. Suppose -2*d + 5 = -4*j + 19, 20 = 5*d + j. Solve -l - 10 = -d*b for b. 5 Suppose 4*r = w + 4, -4*r + 4*w + 16 = -3*r. Solve r = -4*s + 7 - 3 for s. 1 Let i(u) = -2*u - 12. Let z be i(9). Let b be (-12)/z + (-8)/(-5). Solve 7*v + 5 = b*v for v. -1 Let m be 1/2 + 58/4. Let t = m + -13. Solve f = t*f + 2 for f. -2 Let m(a) be the third derivative of a**6/120 + a**4/8 - a**3/3 - 3*a**2. Let n be m(2). Solve 0*q + 3*q = -n for q. -4 Suppose x - 5*x = 0. Suppose -w + 8 - 3 = x. Solve 4*h - w*h - 4 = 0 for h. -4 Let k = -3 + 6. Suppose 9 = k*u - 6. Let j be ((-4)/u)/(8/(-20)). Solve -j*p - 9 = p for p. -3 Let m(h) = -3*h**2 + 5*h + 4. Let g be m(4). Let a be (-3)/g*14*-4. Let r = 10 + a. Solve -3*z = -2*z + r for z. -3 Let h(z) = z**2 - 11*z + 3. Let l be h(11). Solve 4*t = -l - 9 for t. -3 Let i = -8 + 11. Suppose 9*d - 69 - 3 = 0. Solve v = i*v - d for v. 4 Let b(k) = -k. Let q be b(-3). Suppose -8 - 7 = -q*p. Let a be -1 - (-2 - 37) - 3. Solve -10 = -p*d - a for d. -5 Suppose -2*t = -9 - 7. Let z = -5 + t. Suppose d = -s - z*s + 12, -20 = -2*s + 3*d. Solve g = -0*g - s for g. -4 Let v(o) = o**2 + 9*o - 10. Let i be v(-10). Solve i = -2*p + 2 - 6 for p. -2 Let m(q) = -q - 4. Let d be m(-7). Solve -d*c = -4*c - 4 for c. -4 Let z(k) = k + 6. Let a be z(4). Suppose -a*u = -8*u. Solve u = 2*d - 0*d for d. 0 Suppose 49 = 4*a - 7. Suppose -r = -3*r + a. Solve 4*h - 27 = -r for h. 5 Suppose -2*s = 2*s - 12. Suppose -s*i - 4 = -13. Solve i = u - 0 for u. 3 Let q be (-3 - 4/(-2))*1. Let g = 4 + q. Solve 2*u + g*u = 0 for u. 0 Let n = 3 - -1. Solve -n*b - 10 - 2 = 0 for b. -3 Let p be 15/(-10)*(-4)/3. Suppose p*y - 24 = -5*r, 18 = y + 3*r + r. Solve -5*w + y*w = -6 for w. 2 Suppose -4*a - 5*x - 2 = -35, -4*a + 23 = -5*x. Suppose -a = 4*t - u - 4*u, t + 5*u = 17. Solve p + 3 = -t for p. -5 Let n(z) = z**2 + 2*z - 3. Let m be n(-5). Let t = -12 + m. Solve -3*s - 3 = -t*s for s. -1 Suppose 14 = -3*h + 23. Solve 8*s = h*s - 15 for s. -3 Let j(u) = -u**2 + 5*u - 4. Let i be j(3). Suppose 0*b = 2*b - i. Let f be 19/4 + b/4. Solve -4*o + 3 = -f for o. 2 Suppose -3 - 1 = -z. Let p be z + 2/((-2)/1). Let x = -30 + 30. Solve x = 2*d - 3 - p for d. 3 Suppose 4*s = -0*s + 16. Suppose o + s*o = 0. Solve 0 = -o*k - 2*k - 4 for k. -2 Suppose 9*t - 130 = 4*t. Let i = -14 + t. Suppose -u + i = -0*u. Solve -2*d - u = -2 for d. -5 Let g = 15 - 8. Solve 2*x = -g - 1 for x. -4 Suppose 20*n = 29*n. Solve 3*w + 4 - 19 = n for w. 5 Suppose -3*q - 2*q - 2*f = -26, -34 = -5*q + 2*f. Let x be q + (-1 - 0 - 0). Suppose -n - 20 = -x*n. Solve n*s = -0*s - 20 for s. -4 Let g = -68 + 83. Solve -v = 2*v + g for v. -5 Suppose -40 = -5*q + 20. Solve 4*n - 4 = -q for n. -2 Suppose 1 = 5*k + 3*d - 1, -k = 2*d - 6. Let u be k/4 - (-2)/4. Let s = 7 + -2. Solve s*i + u - 10 = 0 for i. 2 Suppose -4*f + 0*f - 5*z = -2, 5*f = 5*z + 25. Solve -n + f*n = -6 for n. -3 Let l(x) = 24*x - x**3 - 14 - 9*x + 4*x**3 - 15*x**2 - 4*x**3. Let q be l(-16). Solve q*v + 2 = -6 for v. -4 Let c = -6 - -6. Let j be 4/(1 + (-9)/6). Let l = j + 13. Solve -l*k + 2*k = c for k. 0 Let i(u) = u**2 - 6*u + 2. Let x be i(8). Let b = x - 13. Solve 2*q - 15 = -b for q. 5 Let u be ((-18)/(-6)*5)/3. Solve u*f = 1 + 9 for f. 2 Let n be 36/4 + 0/(-1). Solve -d + 4*d = -n for d. -3 Let g be ((-4)/(-16))/((-1)/(-4)). Let l be (2 + -4)/(g/(-1)). Solve 0 = -l*u - 2*u for u. 0 Suppose 4*g - 2*y - 9 = 3*y, g - 5 = 4*y. Solve -7 = 2*d - g for d. -3 Let w be ((-7)/(-4))/((-6)/(-24)). Suppose 2*y - w*y = 0. Solve 0*i - 4*i - 16 = y for i. -4 Let s(k) = k + 14. Let t be s(-6). Suppose -t = -z + 5*z. Let g be (21/(-6))/(z/4). Solve -3*v - 8 = -g*v for v. 2 Suppose -f + 2*b + 0*b = -7, 3*f + 4*b - 11 = 0. Let x(r) = r - 2. Let g(w) = -3*w - 11. Let k be g(-6). Let t be x(k). Solve t = -f*o + 20 for o. 3 Let v(m) = 4*m - 31. Let x be v(9). Solve x*q - 4*q - 2 = 0 for q. 2 Let t(j) = -3*j + 6. Let u be t(-3). Let k be (0 + 2)*(-2)/(-4). Suppose 4*o - u - k = 0. Solve 0 = -a + 3*a - o for a. 2 Let d = 43 + -40. Solve -d = -3*i + 3 for i. 2 Let b be 7*(24/7)/2. Let k be 26*-1*(-5)/10. Suppose 4 = -3*n + k, 4*o - 4*n = 4. Solve 2*w - b + o = 0 for w. 4 Let l = 10 - -7. Solve -5 + l = 4*r for r. 3 Let f(x) = x - 4. Let j be f(2). Let i be (3/j)/(5/(-10)). Solve -i*y = -2*y for y. 0 Suppose 0 = k - 0*k - 5. Suppose 4*z - 3*v + 0*v - 11 = 0, k*z + 5*v = 5. Solve -z + 5 = b for b. 3 Let q(g) = g**2 + 3. Let i be 5/10*0/1. Let b be q(i). Suppose 3*a + 8 = -b*d - d, 0 = a - 2*d - 4. Solve 0 = 4*w - 16 - a for w. 4 Suppose 0 = 2*l - 4*l + 3*s + 7, 8 = -5*l - s. Let x be 2/(-3)*(-4 - l). Solve x*z = -0 + 2 for z. 1 Let z be 9/(-6)*6/9. Let m be z + -1 + 1 + 1. Suppose m = -5*d + 5*l, 2*d = 3*d - 4*l + 3. Solve -3*h + d - 10 = 0 for h. -3 Suppose 3*i + 5*g - 9 = 0, -11 - 4 = -5*g. Let u = 6 + i. Solve 1 = u*c - 3 for c. 1 Suppose -2*w - 1 + 3 = 0. Let z = 1 - w. Solve 2*l - 6 + 14 = z for l. -4 Suppose 4*f = 5*l - 32, -3*f = -3*l - l + 25. Suppose 4*z = l*v + 8, -3*v - 2*z + 6*z = 8. Solve 6 = -v*q + 3*q for q. 2 Let d = -112 + 158. Let w be d/14 + 4/(-14). Suppose 10*c - 30 = 5*c. Solve -5*b + w*b = c for b. -3 Suppose 4*z + 0*z = -28. Let i = z - -10. Solve -i = 4*o + 1 for o. -1 Let y = -8 + 10. Suppose -5*b + 7 = -4*b. Let t be y/b - 4/14. Solve 4 = 4*s - t*s for s. 1 Let c(s) = -s + 8. Let b(d) = d**3 - 6*d**2 + 7*d - 4. Let x be b(5). Let o be c(x). Suppose -5*l = j - 58, 0 = -0*j + 2*j + 4. Solve 0 = o*g + g + l for g. -4 Suppose 17*g + 12 = 20*g. Solve 0 = -2*c + g*c - 4 for c. 2 Let p(k) = -k**3 - 24*k**2 + 24*k - 25. Let a be p(-25). Solve a*n - 15 = 5*n for n. -3 Let h be ((-20)/12)/((-2)/(-3) - 1). Solve -h*u + 14 + 1 = 0 for u. 3 Suppose 0 = 4*v - 3*i - 21, -7*v + 4*v - 5*i = 6. Let c = -11 - -13. Let k be 6/v + 0/c. Solve -2*h + k = -4 for h. 3 Let y be (2/(-4))/((49/(-42))/7). Solve 6 = -y*h - 0 for h. -2 Let o(u) = u**2 - 9*u + 7. Suppose -4*g + 4*h + 44 = g, -3 = 3*h. Let v be o(g). Let l = 9 + v. Solve 0 = 2*r - 0*r - l for r. 4 Suppose 2*u - 5 - 1 = 0. Suppose -u*i = -i. Solve -z + 2 + i = 0 for z. 2 Suppose 34 = -3*t + r, 5*t + r = -r - 53. Let o be 15 - 0 - (-8 + 8). Let f = t + o. Solve 3*u = -10 + f for u. -2 Let i(a) = -a**2 - 4*a - 1. Let k be i(-3). Solve t - 3 = -k for t. 1 Suppose 3*r - r + 8 = 0. Let m = 22 - 6. Let s = r + m. Solve k - s = 5*k for k. -3 Let x be (2 - 0)/((-4)/18). Let b = 15 + x. Solve b = -2*r - r for r. -2 Let s be (1/5 + -1)*-
{ "pile_set_name": "DM Mathematics" }
ded by 52. 51 What is the remainder when 78259 is divided by 78171? 88 What is the remainder when 32628 is divided by 213? 39 What is the remainder when 1664 is divided by 125? 39 What is the remainder when 7176 is divided by 1790? 16 What is the remainder when 829640 is divided by 928? 8 Calculate the remainder when 164 is divided by 142. 22 Calculate the remainder when 49855 is divided by 182. 169 Calculate the remainder when 257763 is divided by 826. 51 What is the remainder when 4646 is divided by 774? 2 Calculate the remainder when 635 is divided by 8. 3 What is the remainder when 58917 is divided by 23? 14 Calculate the remainder when 366188 is divided by 111. 110 What is the remainder when 19320 is divided by 77? 70 What is the remainder when 30266 is divided by 27? 26 Calculate the remainder when 1433 is divided by 558. 317 What is the remainder when 5061 is divided by 175? 161 Calculate the remainder when 80990 is divided by 395. 15 What is the remainder when 1371 is divided by 331? 47 Calculate the remainder when 198411 is divided by 455. 31 Calculate the remainder when 41910 is divided by 102. 90 Calculate the remainder when 2613334 is divided by 166. 162 What is the remainder when 2954 is divided by 611? 510 What is the remainder when 37892 is divided by 36? 20 Calculate the remainder when 8333 is divided by 2630. 443 Calculate the remainder when 499326 is divided by 188. 186 What is the remainder when 1638 is divided by 325? 13 What is the remainder when 584306 is divided by 57? 56 Calculate the remainder when 185 is divided by 9. 5 What is the remainder when 2811775 is divided by 176? 175 What is the remainder when 304225 is divided by 38026? 17 What is the remainder when 143247 is divided by 191? 188 Calculate the remainder when 3117755 is divided by 301. 298 What is the remainder when 1541 is divided by 510? 11 What is the remainder when 4137 is divided by 690? 687 Calculate the remainder when 593843 is divided by 41. 40 What is the remainder when 616179 is divided by 20? 19 What is the remainder when 1172029 is divided by 86? 21 Calculate the remainder when 9991 is divided by 343. 44 What is the remainder when 3340 is divided by 184? 28 What is the remainder when 1875919 is divided by 1048? 1047 Calculate the remainder when 537 is divided by 52. 17 What is the remainder when 931512 is divided by 1105? 1102 What is the remainder when 1106103 is divided by 276518? 31 Calculate the remainder when 19962 is divided by 1136. 650 Calculate the remainder when 178243 is divided by 20. 3 What is the remainder when 1459 is divided by 371? 346 What is the remainder when 95035 is divided by 38? 35 Calculate the remainder when 40045 is divided by 62. 55 Calculate the remainder when 659221 is divided by 16. 5 What is the remainder when 81774 is divided by 25? 24 Calculate the remainder when 19496 is divided by 929. 916 What is the remainder when 2507 is divided by 1068? 371 Calculate the remainder when 717178 is divided by 103. 92 What is the remainder when 7999 is divided by 2665? 4 Calculate the remainder when 5537 is divided by 478. 279 Calculate the remainder when 2548 is divided by 198. 172 What is the remainder when 23133 is divided by 61? 14 Calculate the remainder when 187 is divided by 138. 49 Calculate the remainder when 3272 is divided by 809. 36 What is the remainder when 116612 is divided by 99? 89 What is the remainder when 37302 is divided by 119? 55 Calculate the remainder when 6259 is divided by 58. 53 Calculate the remainder when 19416947 is divided by 2030. 2027 What is the remainder when 28203 is divided by 28007? 196 What is the remainder when 6643 is divided by 256? 243 Calculate the remainder when 42715 is divided by 1068. 1063 What is the remainder when 731 is divided by 187? 170 Calculate the remainder when 1011 is divided by 13. 10 What is the remainder when 5912369 is divided by 1611? 1610 What is the remainder when 3138 is divided by 1012? 102 What is the remainder when 4895 is divided by 813? 17 What is the remainder when 30982 is divided by 1556? 1418 Calculate the remainder when 17777 is divided by 808. 1 What is the remainder when 845 is divided by 824? 21 What is the remainder when 10693 is divided by 191? 188 Calculate the remainder when 65763 is divided by 16437. 15 What is the remainder when 535289 is divided by 70? 69 Calculate the remainder when 9238 is divided by 43. 36 What is the remainder when 8812 is divided by 872? 92 Calculate the remainder when 3999 is divided by 303. 60 Calculate the remainder when 13202 is divided by 27. 26 Calculate the remainder when 5830 is divided by 2802. 226 Calculate the remainder when 37459 is divided by 76. 67 What is the remainder when 8309 is divided by 2073? 17 Calculate the remainder when 6753 is divided by 2977. 799 What is the remainder when 6707 is divided by 412? 115 What is the remainder when 11581 is divided by 2890? 21 Calculate the remainder when 15615 is divided by 23. 21 Calculate the remainder when 10014 is divided by 7662. 2352 What is the remainder when 653662 is divided by 20? 2 Calculate the remainder when 1897510 is divided by 11. 10 What is the remainder when 3235 is divided by 646? 5 Calculate the remainder when 7681 is divided by 110. 91 Calculate the remainder when 32009 is divided by 3553. 32 Calculate the remainder when 101804 is divided by 2037. 1991 What is the remainder when 48525 is divided by 48525? 0 What is the remainder when 8685 is divided by 65? 40 What is the remainder when 27165 is divided by 9050? 15 Calculate the remainder when 22812 is divided by 184. 180 Calculate the remainder when 5052 is divided by 279. 30 What is the remainder when 16380 is divided by 5449? 33 What is the remainder when 2858772 is divided by 79? 78 What is the remainder when 11938 is divided by 2370? 88 What is the remainder when 102571 is divided by 24? 19 Calculate the remainder when 2181465 is divided by 266. 265 What is the remainder when 349505 is divided by 35? 30 Calculate the remainder when 1406 is divided by 1379. 27 What is the remainder when 84875 is divided by 37? 34 What is the remainder when 76826 is divided by 93? 8 Calculate the remainder when 641805 is divided by 12. 9 Calculate the remainder when 228 is divided by 61. 45 What is the remainder when 1985 is divided by 1970? 15 What is the remainder when 2911 is divided by 626? 407 Calculate the remainder when 55270 is divided by 8. 6 What is the remainder when 17104 is divided by 105? 94 Calculate the remainder when 268526 is divided by 148. 54 What is the remainder when 634468 is divided by 40? 28 What is the remainder when 19388 is divided by 24? 20 Calculate the remainder when 2951 is divided by 146. 31 What is the remainder when 19070 is divided by 1278? 1178 What is the remainder when 2237 is divided by 42? 11 What is the remainder when 125932 is divided by 62945? 42 Calculate the remainder when 31273 is divided by 311. 173 What is the remainder when 6612 is divided by 602? 592 Calculate the remainder when 3797 is divided by 10. 7 What is the remainder when 2716 is divided by 63? 7 What is the remainder when 139406 is divided by 627? 212 Calculate the remainder when 3219 is divided by 150. 69 What is the remainder when 131534 is divided by 19? 16 What is the remainder when 39875 is divided by 9? 5 What is the remainder when 644153 is divided by 98? 97 What is the remainder when 585620 is divided by 553? 546 Calculate the remainder when 14198 is divided by 4727. 17 Calculate the remainder when 78246 is divided by 2173. 18 Calculate the remainder when 8795 is divided by 157. 3 Calculate the remainder when 10087 is divided by 2750. 1837 Calculate the remainder when 68867 is divided by 142. 139 Calculate the remainder when 235168 is divided by 90. 88 Calculate the remainder when 121885 is divided by 586. 583 What is the remainder when 4124104 is divided by 994? 992 What is the remainder when 5154 is divided by 1961? 1232 What is the remainder when 513966 is divided by 26? 24 Calculate the remainder when 66374 is divided by 4424. 14 What is the remainder when 1561 is divided by 495? 76 Calculate the remainder when 10503 is divided by 1497. 24 What is the remainder when 47005 is divided
{ "pile_set_name": "DM Mathematics" }
**2. 140*sqrt(11) + 53901 Simplify 5*(-3*sqrt(800))**2. 36000 Simplify (2*(sqrt(77) - sqrt(77)*-2) - sqrt(77))/sqrt(11). 5*sqrt(7) Simplify (sqrt(153)/(sqrt(9) - sqrt(18)/sqrt(2)*-3))**2. 17/16 Simplify 5*(4 + sqrt(270)/sqrt(10))**2. 120*sqrt(3) + 215 Simplify (-5*(4 + (sqrt(5) - (0 + sqrt(5))) + 0))**2. 400 Simplify sqrt(3) + 3 + sqrt(3) + -2 + 4. 2*sqrt(3) + 5 Simplify sqrt(17) + 2*(sqrt(17) - (sqrt(17) + -2*sqrt(17))) + sqrt(17) + sqrt(17) - (-4 + sqrt(17) + (sqrt(68)/sqrt(4) - sqrt(17)) + sqrt(17)). 4 + 5*sqrt(17) Simplify (sqrt(475) - ((4 + sqrt(475)*-2)**2 - sqrt(475))) + (sqrt(475) - (sqrt(475) + (1 + sqrt(475))**2*-2 + sqrt(475))). -964 + 105*sqrt(19) Simplify ((-6*sqrt(156)*2)/(sqrt(12) - 2*sqrt(972)))**2. 1872/289 Simplify (4 + (sqrt(539) - (sqrt(539) + -2)))**2 + 5. 41 Simplify 3*(sqrt(130)/(sqrt(10)*-3) - (sqrt(13) - (2 + sqrt(468)))). 6 + 14*sqrt(13) Simplify ((sqrt(190) + sqrt(190)*-1 + sqrt(190) + sqrt(190) + sqrt(190))*1)/(1*sqrt(250)). 3*sqrt(19)/5 Simplify 3 + sqrt(5) + sqrt(45) + -2 + -4. -3 + 4*sqrt(5) Simplify -3 + 2 + sqrt(65)/sqrt(245). -1 + sqrt(13)/7 Simplify sqrt(152)/(sqrt(40)/sqrt(5)) + sqrt(190)/(sqrt(40)/sqrt(4)). 2*sqrt(19) Simplify (5 + sqrt(288)*-1*3)**2. -360*sqrt(2) + 2617 Simplify (2 + -4*sqrt(175)*-1)**2*2. 160*sqrt(7) + 5608 Simplify -3 + (sqrt(200) + sqrt(200) + 0 + sqrt(200) + -2)**2. -120*sqrt(2) + 1801 Simplify -1 + (sqrt(125) + -4)**2. -40*sqrt(5) + 140 Simplify (sqrt(10)/(sqrt(2) - sqrt(50)))**2 - (sqrt(200)/sqrt(5))/sqrt(8). -sqrt(5) + 5/16 Simplify ((sqrt(99)*-3 - sqrt(99))*2)/sqrt(9). -8*sqrt(11) Simplify (4*-5*(2*sqrt(448) + sqrt(448) + sqrt(448) - sqrt(448)))**2. 1612800 Simplify (-3*2*sqrt(136) - sqrt(136))/(sqrt(512)*2 - sqrt(8)). -7*sqrt(17)/15 Simplify sqrt(35)/(sqrt(20)/sqrt(4)) + -2*(sqrt(7) + 1). -sqrt(7) - 2 Simplify -1*(-5 + (4 + (-2*sqrt(1053) - sqrt(1053)))**2). -9488 + 216*sqrt(13) Simplify -1 + sqrt(76)*-1 + 0. -2*sqrt(19) - 1 Simplify sqrt(40)/(sqrt(24)/sqrt(3)) + (4*(1 + sqrt(5)))**2. 33*sqrt(5) + 96 Simplify 1*(sqrt(11) + -1) - (sqrt(176)*-2)**2. -705 + sqrt(11) Simplify (sqrt(15)/(sqrt(6)/sqrt(2)*5) - (sqrt(15)/sqrt(3) + sqrt(5) + 1)*-6)**2. 732*sqrt(5)/5 + 3901/5 Simplify (1 + sqrt(9)/(sqrt(3) - sqrt(12)))**2. -2*sqrt(3) + 4 Simplify ((sqrt(1573)*-2)**2 + 5)*-1. -6297 Simplify sqrt(2448) + -1 + -5. -6 + 12*sqrt(17) Simplify (sqrt(48) + 0)*-1. -4*sqrt(3) Simplify (((sqrt(720)*-1 + sqrt(720) - sqrt(720)) + -3 + 0)*-3)**2. 648*sqrt(5) + 6561 Simplify -1 + (1*sqrt(605) - sqrt(605)). -1 Simplify 5 + -6*(sqrt(11)*3 - sqrt(11)). -12*sqrt(11) + 5 Simplify (sqrt(14)/(sqrt(7)*1) + sqrt(24)/(sqrt(48)/sqrt(4)))**2. 8 Simplify (-1*sqrt(300) + 0)**2 + -1. 299 Simplify (-3*sqrt(162) + -5)**2. 270*sqrt(2) + 1483 Simplify (4*(3*sqrt(15)/sqrt(3) + -4))**2. -384*sqrt(5) + 976 Simplify sqrt(3)*-1*6 + sqrt(3)*2*2. -2*sqrt(3) Simplify ((sqrt(1792)*2 - sqrt(1792))/sqrt(4))**2. 448 Simplify (6*(sqrt(11) - ((sqrt(99) - sqrt(11)) + -2)))**2. -144*sqrt(11) + 540 Simplify (sqrt(320) - (sqrt(320) + 1)*-3) + sqrt(320) + sqrt(55)/((sqrt(44)/sqrt(4) + sqrt(11))*3). 3 + 241*sqrt(5)/6 Simplify sqrt(99)*-3 + 0. -9*sqrt(11) Simplify (sqrt(7) - (sqrt(70)*-5)/sqrt(10))**2 - (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + (sqrt(252)*4)**2))). -3780 - 12*sqrt(7) Simplify (sqrt(1280)*-6 - sqrt(20))/(sqrt(10) + sqrt(1000) + sqrt(1000)*-4). 49*sqrt(2)/29 Simplify (-3 + sqrt(7)*-4)*3 + -1. -12*sqrt(7) - 10 Simplify (sqrt(204)/(sqrt(432) + sqrt(12)) - (sqrt(17) - (sqrt(51) - sqrt(153)/sqrt(3))/sqrt(3)))**2. 612/49 Simplify sqrt(143)/(sqrt(11)*1) - (1*-1*sqrt(13))**2. -13 + sqrt(13) Simplify ((sqrt(300)*-1 - sqrt(300))*-5 + 0 + 1 + sqrt(300))**2. 220*sqrt(3) + 36301 Simplify -2 + sqrt(304) + sqrt(304) + 2. 8*sqrt(19) Simplify (sqrt(3) + 1 + -4)**2 + 4. -6*sqrt(3) + 16 Simplify (sqrt(1900) - (0 + sqrt(1900)))**2*2. 0 Simplify -4 + sqrt(112)*-1. -4*sqrt(7) - 4 Simplify (sqrt(539) + 1 + 5)**2. 84*sqrt(11) + 575 Simplify ((sqrt(3087)*2 - sqrt(3087)) + -5)**2. -210*sqrt(7) + 3112 Simplify (sqrt(240)*-2 - sqrt(240))/(sqrt(605)*-1). 12*sqrt(3)/11 Simplify (sqrt(1331)*-1)**2*-2. -2662 Simplify 0 + -5*sqrt(9)/(sqrt(3) - (-1*sqrt(3) + sqrt(3))). -5*sqrt(3) Simplify (sqrt(3) - sqrt(21)/(2*sqrt(7)))**2 - (-3*sqrt(3)*-2)**2. -429/4 Simplify 1 + (sqrt(44)/(sqrt(4)*-2) + sqrt(176) + 2)**2. 14*sqrt(11) + 559/4 Simplify (sqrt(52)/sqrt(2)*-5)/(sqrt(288)*-1 - sqrt(2)). 5*sqrt(13)/13 Simplify (sqrt(152) - (sqrt(152) - ((sqrt(152) + (sqrt(152) - 2*sqrt(152)))*-2 + sqrt(152) - sqrt(152))))/(1*sqrt(8)*4 + sqrt(8) + sqrt(8) - sqrt(8)). 0 Simplify (4 + -2*sqrt(300))**2. -160*sqrt(3) + 1216 Simplify -6*(4 + 6*sqrt(128)). -288*sqrt(2) - 24 Simplify -2*sqrt(684) - (sqrt(95) - 2*sqrt(95))/sqrt(5). -11*sqrt(19) Simplify sqrt(1344)/sqrt(3) + -5. -5 + 8*sqrt(7) Simplify ((-2*sqrt(85) + sqrt(85))*-1 - sqrt(85))/((sqrt(5) + sqrt(10)/sqrt(2))*-2) + -1. -1 Simplify (2*(sqrt(147)/sqrt(3) + sqrt(49)))/sqrt(7). 4*sqrt(7) Simplify -4 + sqrt(153)/(sqrt(9)*-2) + 5. -sqrt(17)/2 + 1 Simplify -2*((sqrt(27) + sqrt(675))/sqrt(9) + (sqrt(27)/sqrt(3))/sqrt(3)). -14*sqrt(3) Simplify 3 + (-2*sqrt(15))/sqrt(3). -2*sqrt(5) + 3 Simplify (-2*sqrt(170) + sqrt(170) + sqrt(170))/sqrt(10) + sqrt(17) + -2 + -3. -5 + sqrt(17) Simplify (sqrt(72) - 1*sqrt(72))/sqrt(4) + sqrt(18) + -1 + sqrt(2592). -1 + 39*sqrt(2) Simplify (sqrt(539) - (-1 + sqrt(539) + 4) - (2 + sqrt(539)*-1))**2 + 3. -70*sqrt(11) + 567 Simplify sqrt(52) + (sqrt(52) - (sqrt(1872)*2 - sqrt(1872) - sqrt(1872)))**2. 2*sqrt(13) + 52 Simplify (1*sqrt(190)*-1)/((sqrt(60)*-1)/sqrt(6)). sqrt(19) Simplify ((sqrt(51)/sqrt(3) + 1 + 5*sqrt(17)*2)*-5)**2. 550*sqrt(17) + 51450 Simplify -3*(-1 + sqrt(65)/sqrt(5) + 3). -3*sqrt(13) - 6 Simplify ((-1*sqrt(343))/sqrt(7) + sqrt(49))/(1*sqrt(112)). 0 Simplify ((sqrt(136) - (sqrt(136)*-1*-2 - sqrt(136))) + sqrt(136) - sqrt(136))/sqrt(8)*-1. 0 Simplify (sqrt(88) + sqrt(88) + 2*sqrt(88)*3 + sqrt(88))/sqrt(8). 9*sqrt(11) Simplify ((-5*1*sqrt(133))/(sqrt(7)*-1*-5))**2. 19 Simplify 1*sqrt(1700) + 1 + (sqrt(1700) - (0 + sqrt(1700))**2)*5. -8499 + 60*sqrt(17) Simplify (sqrt(605) + 3)**2 + (3*sqrt(245) - sqrt(245))**2. 66*sqrt(5) + 1594 Simplify 3*((3*sqrt(171) + sqrt(171))/sqrt(9) - sqrt(19)). 9*sqrt(19) Simplify (4 + (1*sqrt(99))/sqrt(9))*-2. -8 - 2*sqrt(11) Simplify (sqrt(39)/(sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(54)/sqrt(2) - sqrt(3))))**2 - 2*(-1*sqrt(832) - sqrt(832)). 13 + 32*sqrt(13) Simplify (-1 + sqrt(117) + 3)*5. 10 + 15*sqrt(13) Simplify 5*1*(1 + sqrt(320) + (sqrt(320) - -1*sqrt(320)))**2. 240*sqrt(5) + 14405 Simplify (sqrt(252) + 0 + -2)**2 + 1*sqrt(252) + 5 + sqrt(252) + -4. -12*sqrt(7) + 257 Simplify sqrt(15)/(sqrt(12)/sqrt(4)*-5 + sqrt(3) - sqrt(3)). -sqrt(5)/5 Simplify (6*-1*sqrt(187) - sqrt(187))/((sqrt(99) - sqrt(99)*-2)/sqrt(9) + sqrt(11) + sqrt(11)). -7*sqrt(17)/5 Simplify -2*sqrt(19)*-6 - (0 + ((sqrt(19) + -2)**2 - sqrt(19))). -23 + 17*sqrt(19) Simplify ((sqrt(60)/sqrt(3)*5)/sqrt(4)*2)**2. 500 Simplify sqrt(352)/sqrt(44). 2*sqrt(2) Simplify (sqrt(495)/(sqrt(45)/sqrt(5)) - sqrt(55))/sqrt(11). 0 Simplify (sqrt(21) - sqrt(21)*-1*-5)/((sqrt(180)/sqrt(5))/sqrt(12) + sqrt(3)). -2*sqrt(7) Simplify sqrt(20)/(sqrt(20)/(sqrt(2)*-1)). -sqrt(2) Simplify (-1 + sqrt(891) - sqrt(891) - (sqrt(44) + sqrt(704))/sqrt(4))*3. -15*sqrt(11) - 3 Simplify sqrt(468)*4 + sqrt(156)/sqrt(48). 49*sqrt(13)/2 Simplify -1 + sqrt(76)/sqrt(4) + ((2 + sqrt(931))**2 - sqrt(19)). 28*sqrt(19) + 934 Simplify -2 + (0 + sqrt(19) + -1)**2. -2*sqrt(19) + 18 Simplify (sqrt(48) - ((-1*sqrt(576) + sqrt(576) - sqrt(576)) + sqrt(576) + sqrt(576))/sqrt(12))**2 + -3. -3 Simplify (1*sqrt(128)*2 + 5)**2. 160*sqrt(2) + 537 Simplify sqrt(156)/((sqrt(240)/sqrt(4))/sqrt(5)). sqrt(13) Simplify -2*sqrt(63)*-4. 24*sqrt(7) Simplify -3 + 5 + 2*sqrt(605). 2 + 22*sqrt(5) Simplify ((sqrt(8) + 1 + -3)*-4)**2. -128*sqrt(2) + 192 Simplify sqrt(68)/(5*sqrt(16)). sqrt(17)/10 Simplify ((2*sqrt(1152))/sqrt(4))**2. 1152 Simplify sqrt(11) + sqrt(275) + 0 + sqrt(11) - (sqrt(11)*1)**2*-1. 11 + 7*sqrt(11) Simplify (1 + sqrt(45) + (sqrt(20)/sqrt(4) - sqrt(5)) + 2)**2. 18*sqrt(5) + 54 Simplify (6*(-1 + sqrt(2)) - (sqrt(4)/sqrt(2) + -1)) + -2. -7 + 5*sqrt(2) Simplify ((sqrt(24)*2*3)/sqrt(12))**2. 72 Simplify 5 + -5 + sqrt(104)/sqrt(8). sqrt(13) Si
{ "pile_set_name": "DM Mathematics" }
= -8*m - 511. Suppose -m = -16*l + 2369. What is the greatest common factor of 36 and l? 36 Let v be 2 - (-476)/21*3. Suppose 0 = -0*z + 8*z - 112. What is the greatest common divisor of z and v? 14 Let p(g) = -g**2 + 5. Let x be (17 - 17)/(2 - (0 - -1)). Let l be p(x). Calculate the greatest common factor of 80 and l. 5 Suppose -34 - 16 = -10*v. Suppose -a = t - 28, 21 = -t + v*a + 61. What is the highest common divisor of 100 and t? 10 Let y be 34/(-238)*28*-1. Suppose -68 = -3*i + 2*s + 156, 4*i - 4*s = 296. Calculate the highest common factor of i and y. 4 Let w be (0 + 1)/(27/3 - (-414876)/(-46101)). What is the greatest common divisor of w and 381? 127 Let q = 1982 - 1310. Calculate the greatest common factor of q and 480. 96 Let y(d) be the first derivative of d**4/4 - d**3 - 9*d**2/2 + 11*d + 38. Let r be y(5). What is the highest common factor of r and 32? 16 Suppose 5*v - 115*b = -120*b + 985, 786 = 4*v + 2*b. Calculate the greatest common factor of 476 and v. 28 Let k(b) = -b**3 - b**2 + b + 4. Let s be k(-4). Suppose -269 = 3*j - 344. Let x be ((-15)/j)/(9/(-360)). Calculate the greatest common divisor of s and x. 24 Suppose -15645 = 16*h - 178461. What is the greatest common factor of h and 159? 159 Let b(a) = -a**3 + 2*a**2 - 70*a - 779. Let z be b(-14). What is the greatest common divisor of 47 and z? 47 Suppose 3*j + 570 = v, -2*v + 537 = 2*j - 651. What is the greatest common factor of 108 and v? 12 Suppose n = w, 5044*w - 5*n + 24 = 5042*w. What is the highest common factor of 780 and w? 4 Let k(j) = -4*j + 12. Let y = 58 - 66. Let i be k(y). Let o = 46 - i. Calculate the highest common divisor of 22 and o. 2 Let r = 14208 - 14175. What is the highest common factor of r and 9108? 33 Let z = 5725 - 4090. What is the greatest common divisor of z and 15? 15 Suppose 35*q = 23*q + 5268. Let o = q + -43. What is the greatest common factor of o and 36? 36 Let k = -33 + 45. Suppose -8*a = -132 + k. Suppose a - 111 = -c. Calculate the greatest common factor of 12 and c. 12 Suppose 2*o + 186 = -4*n - 82, -2*o = -2*n + 256. Let z = o + 200. Calculate the greatest common factor of z and 35. 35 Suppose 0 = 135*g + 31*g - 78352. Calculate the greatest common factor of 6 and g. 2 Let q(a) = -a**3 + 5*a**2 + 4*a + 21. Let k be q(7). Let j = k - -53. Let u(b) = -8*b - 2. Let g be u(-2). What is the highest common factor of g and j? 2 Let f = 5390 + -5002. What is the greatest common factor of f and 13386? 194 Suppose -32*z = -2*r - 33*z + 379, -3*z - 399 = -2*r. Calculate the highest common divisor of r and 3240. 24 Suppose 0*o = -g + 3*o + 18, -30 = -2*g + 3*o. Let i be (1136/g)/((-4)/(-6)). Let q be (2 + i)*4/4. What is the highest common factor of 16 and q? 16 Suppose 0 = -369*l + 110*l + 555555. Calculate the highest common factor of 825 and l. 165 Let h = -39 + 65. Suppose -47*a - 3*f - 40 = -48*a, -2*a = -2*f - 96. What is the highest common divisor of h and a? 26 Suppose -4*r = -11*r + 70. Suppose -5*u + 19 = -26. Suppose 0 = -u*x + r*x - 7. Calculate the greatest common divisor of x and 28. 7 Suppose 0 = -4516*g + 4499*g + 19890. What is the highest common divisor of g and 975? 195 Let v(t) = -2*t - 11. Let z be v(-13). Suppose 5*x - j = z, -4*x + 2*x + 6 = -5*j. Calculate the greatest common factor of 7 and x. 1 Let v be ((-168)/(-16) - 11) + 39/6. What is the highest common divisor of v and 201? 3 Let t be (-3 - -1) + 5 + -3 - -26. Suppose 2*w - 182 = 3*d, -w + t = -2*d - 65. Suppose z = 116 - w. What is the greatest common divisor of 25 and z? 25 Let g be -4 - -9 - 4/12*-21. What is the greatest common factor of g and 750? 6 Suppose 51*n - 15 = 48*n. Suppose j - n*j + 88 = 2*d, 0 = 3*j - 4*d - 88. What is the greatest common factor of 348 and j? 12 Suppose -5*o + 4*p + 103 = 0, 51 = 3*o - 0*o + 3*p. Let f(t) = -t**3 + 57*t**2 + 62*t + 91. Let j be f(58). Calculate the highest common divisor of j and o. 19 Suppose 3*d = 8*d - 260. Let h = d + -49. Suppose 5*b - 54 = -h*q + 16, 0 = 5*b + q - 60. What is the highest common factor of b and 121? 11 Let b(g) = 7*g**3 - 6*g**2 + 14*g + 17. Let m be b(3). Calculate the greatest common factor of m and 67124. 194 Suppose -26*t - 5*t - 15779 = 0. Let z = -436 - t. Calculate the greatest common factor of 657 and z. 73 Let l be -12*((-9)/(-12) + 22/(-40) + (-80655)/4275). Suppose 5*t = -78 + 1478. Calculate the greatest common divisor of l and t. 56 Suppose -h + 3*j = -98 + 26, 4*h - j = 321. Calculate the highest common factor of 1872 and h. 9 Let v(y) = -y**3 - y**2 + 35*y + 5. Let w be v(0). Calculate the highest common factor of w and 2645. 5 Let k = -7497 + 7524. Suppose -5*i = -20, 2*r - 4*i - 92 = -2*r. What is the highest common divisor of r and k? 27 Let k = 226 - 28. Suppose 22*c - k = 858. Calculate the greatest common divisor of c and 32. 16 Let p(d) be the second derivative of d**3/6 + 8*d**2 + 179*d. Let m be 1 + 9 + 4/(-2). Let z be p(m). Calculate the highest common factor of z and 18. 6 Let z be (-2454)/(-10) + (-2)/5. Let r = 20750 + -20575. Calculate the highest common divisor of z and r. 35 Let a(h) = 4*h**2 + 11*h - 8. Let s be a(-7). Suppose -77 = -118*z + s*z. What is the greatest common factor of z and 1408? 11 Suppose 0 = 15*y + 16 - 46. Suppose 0 = q + 21 + 12. Let k be q/(-1 - 4/y). Calculate the greatest common divisor of 11 and k. 11 Let n = 7033 - 7017. Calculate the greatest common factor of n and 180. 4 Let b(n) = -5*n - 83. Let v(m) = 9*m + 165. Let q(i) = 11*b(i) + 6*v(i). Let t be q(28). Calculate the greatest common divisor of t and 98. 49 Suppose -s = 21*p - 24*p - 222, -4*s = 4*p - 856. What is the highest common divisor of s and 132? 12 Let m = 1640 - 1594. Calculate the greatest common divisor of m and 2254. 46 Let t(p) = -12*p + 9. Let d(l) = -17*l - 21. Let c be d(-7). Let u = c - 100. Let k be t(u). Calculate the highest common factor of 55 and k. 11 Let d(k) = -2*k - 12. Let u be d(-7). Let p be 2075/75 + u/(-3). Calculate the highest common divisor of 36 and p. 9 Suppose -7*v = -b - 2*v - 5, -b + 4*v = 2. Let o = 8 + -4. Suppose -f + o*z = -3, -f - z + 21 = z. What is the greatest common divisor of b and f? 5 Let b(y) = -8*y - 8. Let t be b(-5). Suppose -4*d + r = 19 - 180, 8*r = 3*d - 128. What is the greatest common divisor of t and d? 8 Suppose 45*h = 52*h - 658. Suppose -a - 4*t = -14, -17*t - h = -5*a - 13*t. What is the greatest common divisor of a and 12? 6 Let r(k) = k + 7. Let b(i) = i**2 - 13*i + 23. Let o be b(10). Let f be 2/(-4)*(6 + (o - -3)). Let x be r(f). Calculate the greatest common divisor of 6 and x. 6 Let q be 292/2 - (3 + -1 - 6). Let d be (q/12 + -4)*210/5. What is the highest common factor of d and 21? 21 Let w be ((-10)/(-5) - 1)/1. Let o be (-804)/(-28) - 10 - 2/(-7). Calculate the highest common divisor of o and w. 1 Let v be 36/(-90) + (-804)/(-10). Suppose -v*p = -76*p - 36. Let g(n) = n**3 - 9*n**2 + n - 4. Let u be g(p). Calculate the highest common factor of u and 55. 5 Let w be (-9)/((-477)/156 + 3). Let j be -7*(93/21 - 10). Calculate the highest common divisor of w and j. 39 Let o(x) be the first derivative of x**4/4 + 4*x**3 + 10*x**2 + 4*x - 69. Let p be o(-8). What is the greatest common factor of p and 30? 10 Let a = 3238 - 861. Suppose 7*u - 3*y - a = 2*u, 0 = -5*u + y + 2379. Calculate the highest common factor of u and 28. 28 Let r = 672 + -256. Suppose 3*g + r = 2*j, 2*j + j + 5*g - 586 = 0. Suppose -4*d + j = 58. What is the highest common factor of d and 396? 36 Let o = 80 + 24. Let a = o - 94. Suppose 0 = 5*h - n - a, h - 4*n = 6*h - 10. Calculate the highest common factor of h and 6. 2 Let j = 3209 - 3167. What is the greatest common divisor of j and 7574? 14 Let z(w) = 9*w - 21. Let j be z(3). Let g be 224/28 + (j - 0). Let m = 9 - -75. Calculate the highest common factor of m and g. 14 Let c = -32 + 188. Let f be ((-80)/(-16) + (-22)/4)*-52. What is the greatest common divisor of f and c? 26 Let p be -12*(-10)/60*(3/2 + 1). What is the highest common factor of 115 and p? 5 Let n(d) = 45*d + 1306. Let b be n(-29). Calculate the greatest common factor of b and 283. 1 Let l(m) = 11*m**3 - m**2 - 2*m. Let t be l(2). Suppose 2880 = -36*n + 54*n. Calculate the greatest common factor of t and n. 80 Let
{ "pile_set_name": "DM Mathematics" }
6:29 PM? 7:23 PM How many minutes are there between 7:30 AM and 10:54 AM? 204 How many minutes are there between 10:38 PM and 10:03 AM? 685 What is 171 minutes before 2:08 AM? 11:17 PM What is 54 minutes after 3:07 PM? 4:01 PM What is 41 minutes after 5:18 PM? 5:59 PM How many minutes are there between 9:11 PM and 3:06 AM? 355 What is 376 minutes before 11:43 PM? 5:27 PM How many minutes are there between 8:48 PM and 8:09 AM? 681 How many minutes are there between 10:20 AM and 9:21 PM? 661 What is 156 minutes before 12:33 PM? 9:57 AM How many minutes are there between 6:00 AM and 6:04 AM? 4 How many minutes are there between 5:25 AM and 3:53 PM? 628 What is 33 minutes before 2:53 AM? 2:20 AM How many minutes are there between 2:10 AM and 2:12 AM? 2 How many minutes are there between 7:51 PM and 8:47 PM? 56 What is 616 minutes before 8:55 AM? 10:39 PM What is 181 minutes before 4:54 PM? 1:53 PM How many minutes are there between 1:10 AM and 4:25 AM? 195 How many minutes are there between 9:11 PM and 7:47 AM? 636 What is 609 minutes after 12:46 PM? 10:55 PM What is 243 minutes before 7:31 PM? 3:28 PM How many minutes are there between 7:27 PM and 9:42 PM? 135 How many minutes are there between 5:39 PM and 5:23 AM? 704 How many minutes are there between 2:51 AM and 9:33 AM? 402 How many minutes are there between 10:19 PM and 7:55 AM? 576 How many minutes are there between 6:14 AM and 3:47 PM? 573 What is 322 minutes before 6:15 AM? 12:53 AM What is 71 minutes before 3:13 AM? 2:02 AM What is 625 minutes before 1:51 AM? 3:26 PM How many minutes are there between 8:15 AM and 9:45 AM? 90 What is 88 minutes after 6:01 PM? 7:29 PM How many minutes are there between 2:18 PM and 10:31 PM? 493 How many minutes are there between 11:14 PM and 6:42 AM? 448 What is 524 minutes before 3:47 PM? 7:03 AM What is 111 minutes after 7:06 AM? 8:57 AM How many minutes are there between 12:31 PM and 7:21 PM? 410 What is 223 minutes before 1:56 PM? 10:13 AM How many minutes are there between 7:29 AM and 12:47 PM? 318 What is 493 minutes after 4:06 PM? 12:19 AM How many minutes are there between 1:32 PM and 6:25 PM? 293 How many minutes are there between 12:17 PM and 10:58 PM? 641 How many minutes are there between 8:23 PM and 7:26 AM? 663 What is 482 minutes before 1:15 PM? 5:13 AM What is 560 minutes before 12:11 PM? 2:51 AM How many minutes are there between 5:46 AM and 8:41 AM? 175 How many minutes are there between 7:48 PM and 3:36 AM? 468 What is 591 minutes after 7:25 PM? 5:16 AM What is 331 minutes before 12:55 PM? 7:24 AM What is 88 minutes before 8:17 AM? 6:49 AM What is 303 minutes after 11:01 PM? 4:04 AM What is 295 minutes after 1:15 PM? 6:10 PM What is 532 minutes after 9:55 AM? 6:47 PM How many minutes are there between 6:55 AM and 2:19 PM? 444 How many minutes are there between 11:13 PM and 11:07 AM? 714 How many minutes are there between 3:11 AM and 12:43 PM? 572 What is 181 minutes before 3:51 PM? 12:50 PM What is 246 minutes after 6:35 AM? 10:41 AM How many minutes are there between 10:37 PM and 9:02 AM? 625 What is 681 minutes before 5:59 AM? 6:38 PM How many minutes are there between 2:44 PM and 2:53 PM? 9 What is 67 minutes after 3:04 PM? 4:11 PM What is 11 minutes before 8:35 PM? 8:24 PM How many minutes are there between 12:32 AM and 8:18 AM? 466 How many minutes are there between 4:32 PM and 7:36 PM? 184 What is 97 minutes after 6:14 AM? 7:51 AM What is 535 minutes after 12:15 PM? 9:10 PM How many minutes are there between 4:27 PM and 2:19 AM? 592 How many minutes are there between 2:57 PM and 3:07 PM? 10 What is 430 minutes before 11:59 AM? 4:49 AM How many minutes are there between 5:08 AM and 3:42 PM? 634 How many minutes are there between 5:04 AM and 8:35 AM? 211 What is 446 minutes after 4:04 PM? 11:30 PM What is 406 minutes after 8:04 AM? 2:50 PM How many minutes are there between 8:49 PM and 8:44 AM? 715 What is 597 minutes before 5:33 PM? 7:36 AM What is 458 minutes after 4:52 PM? 12:30 AM How many minutes are there between 12:00 PM and 3:05 PM? 185 How many minutes are there between 2:28 AM and 6:24 AM? 236 How many minutes are there between 4:34 AM and 2:29 PM? 595 How many minutes are there between 11:05 PM and 6:05 AM? 420 What is 374 minutes after 8:09 PM? 2:23 AM What is 504 minutes after 6:51 PM? 3:15 AM What is 714 minutes before 10:51 AM? 10:57 PM What is 252 minutes before 12:57 PM? 8:45 AM What is 557 minutes after 10:21 PM? 7:38 AM How many minutes are there between 10:48 PM and 11:07 PM? 19 What is 592 minutes before 6:52 AM? 9:00 PM What is 405 minutes after 8:33 AM? 3:18 PM What is 321 minutes before 10:39 AM? 5:18 AM How many minutes are there between 8:09 AM and 1:26 PM? 317 What is 557 minutes after 9:03 PM? 6:20 AM What is 582 minutes before 10:49 PM? 1:07 PM How many minutes are there between 5:54 PM and 6:08 PM? 14 What is 388 minutes after 10:27 AM? 4:55 PM What is 235 minutes after 11:16 PM? 3:11 AM What is 591 minutes after 3:18 PM? 1:09 AM How many minutes are there between 1:45 PM and 1:51 PM? 6 What is 514 minutes before 12:09 AM? 3:35 PM What is 332 minutes before 6:06 AM? 12:34 AM What is 453 minutes after 6:45 AM? 2:18 PM What is 416 minutes before 1:46 AM? 6:50 PM How many minutes are there between 11:37 PM and 11:48 PM? 11 What is 117 minutes before 1:11 AM? 11:14 PM What is 424 minutes after 10:02 PM? 5:06 AM How many minutes are there between 5:25 AM and 2:10 PM? 525 What is 60 minutes after 1:02 AM? 2:02 AM How many minutes are there between 6:18 AM and 6:13 PM? 715 How many minutes are there between 8:44 PM and 12:13 AM? 209 What is 493 minutes before 11:03 PM? 2:50 PM What is 50 minutes after 5:53 PM? 6:43 PM What is 710 minutes after 7:27 AM? 7:17 PM What is 305 minutes before 11:31 AM? 6:26 AM How many minutes are there between 8:05 AM and 1:36 PM? 331 How many minutes are there between 8:43 AM and 7:17 PM? 634 What is 583 minutes after 4:41 PM? 2:24 AM How many minutes are there between 9:44 PM and 9:16 AM? 692 How many minutes are there between 2:28 AM and 4:56 AM? 148 How many minutes are there between 9:09 PM and 1:18 AM? 249 How many minutes are there between 2:43 PM and 7:52 PM? 309 How many minutes are there between 5:51 PM and 10:54 PM? 303 What is 589 minutes after 1:47 AM? 11:36 AM What is 667 minutes before 11:51 AM? 12:44 AM How many minutes are there between 1:17 PM and 6:39 PM? 322 What is 388 minutes after 4:04 AM? 10:32 AM What is 130 minutes before 5:39 PM? 3:29 PM What is 525 minutes before 10:18 PM? 1:33 PM What is 470 minutes after 1:19 PM? 9:09 PM What is 54 minutes before 12:48 PM? 11:54 AM How many minutes are there between 12:41 PM and 6:01 PM? 320 What is 388 minutes before 3:07 AM? 8:39 PM What is 315 minutes after 5:06 AM? 10:21 AM What is 605 minutes before 4:56 PM? 6:51 AM How many minutes are there between 3:37 AM and 8:52 AM? 315 How many minutes are there between 9:53 AM and 4:21 PM? 388 What is 538 minutes after 2:58 AM? 11:56 AM How many minutes are there between 10:41 AM and 5:37 PM? 416 What is 710 minutes after 9:17 PM? 9:07 AM What is 408 minutes before 12:42 AM? 5:54 PM How many minutes are there between 5:44 AM and 7:13 AM? 89 How many minutes are there between 7:38 PM and 8:34 PM? 56 What is 692 minutes before 12:55 AM? 1:23 PM How many minutes are there between 12:14 AM and 8:42 AM? 508 How many minutes are there between 10:57 PM and 6:00 AM? 423 How many minutes are there between 11:44 AM and 5:56 PM? 372 How many minutes are there between 10:53 AM and 2:36 PM? 223 How many minutes are there between 1:18 PM and 1:43 PM? 25 How many minutes are there between 4:08 PM and 10:34 PM? 386 How many minutes are there between 11:05 PM and 4:58 AM? 353 How many minutes are there between 12:12 PM and 4:51 PM? 279 What is 41 minutes after 4:10 AM? 4:51 AM What is 313 minutes before 4:33 PM? 11:20 AM How many minutes are there between 2:49 PM and 7:52 PM? 303 How many minutes are there between 10:40 AM and 8:12 PM? 572 What is 386 minutes before 8:00 AM? 1:34 AM What is 643 minutes after 9:27 PM? 8:10 AM What is 705 minutes before 6:14 PM? 6:29 AM What is 578 minutes after 12:57 PM? 10:35 PM How many minutes are there between 1:19 PM and 9:09 PM? 470 How many minute
{ "pile_set_name": "DM Mathematics" }
j/(-7))? 6 Suppose 2*v = -4*a - 20, -2*a = -a + 4*v - 2. What is the units digit of 2/a + (-112)/(-12)? 9 Let y = -12 + 17. Suppose 0 = 5*j + 10, -s - y*j = -5*s + 18. Suppose d - 26 = -4*a + 13, 3*a + s*d = 33. What is the units digit of a? 9 Suppose -2*k - x + 76 = -0*x, 4*x + 8 = 0. What is the units digit of k? 9 Let d(l) be the first derivative of -l**4/4 - l**2/2 + l + 3. Suppose -7*k = -2*k. What is the units digit of d(k)? 1 Suppose 0*r + r = 0. Let q = 2 + r. What is the units digit of q? 2 Let w = -5 + 40. What is the units digit of w? 5 Let x(j) = 23*j**2 + 8*j + 13. What is the hundreds digit of x(-3)? 1 Suppose h = -3*w + 3*h + 91, -4*w + 3*h + 121 = 0. What is the units digit of w? 1 Let b = -10 - -60. Suppose 4*r - b = -2*q, -6*q + 3*q = -r - 82. What is the tens digit of q? 2 Let i be (-1)/(4/(16/(-1))). Suppose 5*r + 3*t - 17 - 82 = 0, 3*t + 90 = i*r. What is the tens digit of r? 2 Suppose 4*k = -f + 27, 3*k + 2*k = 3*f - 30. What is the units digit of f? 5 Let j = -13 - -16. Suppose 0 = t + j, 4*l = -4*t + 92. What is the tens digit of l? 2 Let f be (-1)/2*(9 - 1). Let g be ((-6)/f)/(9/6). Suppose g = 5*c + b - 19, -5*c - 5*b = 0. What is the units digit of c? 5 Let p = -53 - -69. What is the units digit of p? 6 Let f = -16 - -13. Let q be 1/(-2) - (-18)/4. What is the units digit of q*f/(12/(-10))? 0 Suppose 46*l = 50*l - 396. What is the tens digit of l? 9 Let f be (2/(-6))/(3/(-9)). Let b(p) = 2 - p**3 - f + 0*p**3 + 5*p**2. What is the units digit of b(5)? 1 Let s be ((-2)/(-4))/(2/(-4)). Let j(m) = -15*m + 7 + 2 - 8. What is the units digit of j(s)? 6 Suppose 0 = -3*q - 2*c + 219, 292 = 4*q - 2*c + 6*c. Suppose q = 3*z + x, 0 = 2*z - 0*x + 5*x - 40. What is the units digit of z? 5 Suppose -x + 5*x - 12 = b, -x + 3 = 0. Let m(y) = 7*y - 7. Let u be m(5). Suppose -u = -4*l - b*l. What is the units digit of l? 7 Let i(t) = t + 6. Let n be i(0). Let b be (-4)/n - 32/(-12). Suppose 27 = m + b*m. What is the units digit of m? 9 Suppose -5 + 35 = -5*n. Let l(a) = a + 7. What is the units digit of l(n)? 1 Let j = 7 + -5. Let g be 5/(-2) + 1/j. What is the units digit of g/9 + 140/63? 2 Let g be (-4 + 5)/((-2)/32). Let j = -10 - g. What is the units digit of j? 6 Let m(t) = t**3 + 10*t**2 + t + 11. Let y be m(-10). What is the tens digit of y - (-1)/(2/30)? 1 Suppose -8 = -4*c + 8*c. What is the units digit of (-19)/c + 2/(-4)? 9 Suppose 0*n = 4*n + 40. Let l = n - -21. What is the units digit of l? 1 Let f(i) = -16*i**3 + i**2 - 1. Let q be f(-1). Let k = q - 7. What is the units digit of k? 9 Let s = -17 + 24. Suppose 3*y - l - s = 0, 4 = -0*l + 2*l. What is the units digit of y? 3 Suppose -p + 3*t = -26 - 25, 2*t = 0. Suppose d + 6 = 2*g, -5*g + 37 = -d + 4*d. Suppose d*y - 3*f - p = -8, 0 = -5*y + 3*f + 50. What is the units digit of y? 7 Suppose 3*l + 5 = 8*l. Let p be l + (-12)/(2/1). Let x(i) = -2*i - 5. What is the units digit of x(p)? 5 Suppose -5*m - 3*y + 110 = -5*y, 0 = -4*m - 4*y + 116. What is the tens digit of 14/(-6)*m/(-4)? 1 Let j(y) = -3*y - y**3 + 3*y**2 + 5 + 5*y**2 - 2*y - 3*y. What is the units digit of j(5)? 0 Suppose -3*m + m = -2*q - 60, -m = 3*q - 50. What is the tens digit of m? 3 Let z(d) = -2*d + 4 - 5 - 3*d. Let a be z(-2). What is the units digit of a + -2 - (-1)/(-1)? 6 Let v be (-2 + 0)*(-5)/10. What is the units digit of (1/v)/(8/232)? 9 Suppose -4*z + 74 = -3*z. What is the tens digit of z? 7 Suppose -2*d - 252 = 4*d. Let o = -16 - d. What is the tens digit of o? 2 Let y be (1 - 1)/(-2) + -3. Let u(l) = -7*l - 1. What is the tens digit of u(y)? 2 Let t = 72 - 63. What is the units digit of t? 9 Let g(t) be the third derivative of t**6/360 + t**5/40 - t**4/12 + 2*t**2. Let x(v) be the second derivative of g(v). What is the units digit of x(3)? 9 Let f(g) = 3 + 3*g**2 + 6*g - 2*g**2 - 2*g**2. What is the units digit of f(5)? 8 Let n(h) = -h + 58. What is the units digit of n(-7)? 5 Suppose -158 = -5*p + 3*j - 5*j, -3*j = p - 42. What is the units digit of p? 0 Let l = -2 + 4. Let s = l + -3. What is the units digit of s/(0 + (-1)/5)? 5 Suppose -5*y = -0*p + 5*p + 10, 0 = y - p - 2. Suppose y*w + 36 = 3*w. Suppose -w = -m - 3. What is the units digit of m? 9 Let v(c) = c + 4. Let j be v(-2). Suppose 5*x - 4 = x, n - 22 = j*x. What is the units digit of n? 4 Let r(q) = 2*q**3 + 0 + 0*q**2 - 3*q**2 + 2 + q**2 + q. Let h be r(2). Let f = h + -7. What is the units digit of f? 5 Let o be (-1 - 4)*2*2. Let w = -9 - o. What is the units digit of w? 1 Suppose 6*x - 4*x = 16. Let j = 2 + x. What is the units digit of j? 0 Let h(g) be the second derivative of g**3/6 - g**2/2 - 2*g. What is the units digit of h(2)? 1 Suppose 5*k = 3*k + 6. Suppose -k*s + 1 = 2*v - 0, 4*v + 16 = 0. Suppose 2*n + 1 - 18 = -s*f, 0 = 3*n - 3*f - 3. What is the units digit of n? 4 Suppose 0 = -8*j - 5*j + 5070. What is the hundreds digit of j? 3 Let w(s) be the first derivative of 2*s**3/3 - 3*s**2 + 6*s + 2. What is the units digit of w(5)? 6 Let y(g) = -5*g + 1. Let p = 5 + -4. Suppose p + 1 = -f. What is the units digit of y(f)? 1 Suppose 3*h = -0*h - 6, 4*s - 14 = h. What is the units digit of s? 3 Suppose -10*b = -9*b - 5. Suppose 0 = -b*o + 106 - 6. What is the units digit of o? 0 Let n be 2/(-3)*(-261)/6. Suppose -3*x = -n - 16. What is the tens digit of x? 1 Suppose 7*n = 4*n - 84. Let w = 39 + n. What is the tens digit of w? 1 Let f = -6 + 11. Let w(k) = k**3 - 6*k**2 + 5*k + 4. Let g be w(f). Suppose 0 = -g*y + 4*h + 16, -2*y = 2*y + 2*h - 34. What is the units digit of y? 7 Let h(v) = -2*v**3 - 7*v**2 - 13*v - 3. What is the hundreds digit of h(-5)? 1 Let x(n) = 3*n**2 - 6*n + 2. What is the units digit of x(5)? 7 Suppose 80 = 7*n - 5*n. What is the tens digit of n? 4 What is the units digit of 8 - 3/1 - (-1 + 4)? 2 Let k(m) = m**2 - 6*m - 5. Let b be k(9). Let j = -15 + b. What is the units digit of j? 7 Let g(s) be the first derivative of -s**4/4 + 2*s**3 + s**2/2 + 4*s + 1. Let p be g(4). What is the units digit of (-12)/5*p/(-12)? 8 Let i(p) = -p**2 + 3*p + 4. Let c be i(3). Let o(u) be the second derivative of u**4/12 - u**3/2 - u**2/2 - u. What is the units digit of o(c)? 3 Suppose 2*b - 27 - 45 = 0. Let p = -24 + b. What is the units digit of p? 2 Let r = 34 - -135. What is the hundreds digit of r? 1 Suppose 0 = -3*x + 10 + 8. What is the units digit of x? 6 Suppose -3 = -2*y + 5. Suppose 3*x + 4*c = -0*c + 10, 0 = -x - c + y. What is the units digit of x? 6 Suppose 2*q + r - 64 = 28, 2*r = 0. What is the units digit of q? 6 Suppose 0 = 3*i + 2*i - 20. Suppose -i*q = -0*q. Suppose 5*d = -q*d + 45. What is the units digit of d? 9 Suppose -4*n + 3*u = 5*u - 282, -2*n - 4*u + 132 = 0. What is the tens digit of n? 7 Suppose 20 = 2*x - 4. What is the tens digit of x? 1 Suppose 2*g - w - 94 = 0, 148 = -g + 4*g + 2*w. What is the units digit of g? 8 Let p be (-14)/2 - (-2 + 2). Let w(r) = -r**2 - 6*r + 9. Let m be w(p). What is the units digit of (m - (-3)/(-3))/1? 1 Let q = 32 - 20. What is the tens digit of (-2)/((q/(-51))/4)? 3 Let g = -3 - -5. Suppose -35 = -g*z + 3*y, -4*z - 2*y = -3*y - 65. What is the units digit of z? 6 What is the units digit of ((-12)/(-9))/(14/(-21)) + 37? 5 Suppose -24 = q - 168. What is the units digit of q? 4 Suppose -5*p - 20 = -5*w, -2*w + 4*w - 1 = -5*p. What is the tens digit of ((-9)/(-27))/(p/(-30))? 1 What is the tens digit of (-3 + 9)/(-2) + 18? 1 Let f be (3 - 10)/(1/74). What is the tens digit of f/(-35) - (-1)/5? 1 Let m = 63 - 23. What is the units digit of m? 0 Suppose 5*x = -14 + 64. What is the tens digit of x? 1 Suppose -m = -2*x, 2*m + 5 = -5*x + 14. Let p(w) = -2*w - 1. Let v be p(-5). Suppose g - v = -m*g. What is the units digit of g? 3 Let i(g) = g. What is the units digit of i(2)? 2 Let t = -80 + 135. What is the tens digit of t? 5 Let x(k) = 6*k**2 + 5*k - 1. What is the tens digit of x(5)? 7 Let z(u) = -u. Let q be z(-3). What is the tens digit of 9 + 0 + q + -2? 1 Let a be (0 + -10)*1/(-2). Suppose -10 = -2*c + a*k, k = -5*c + 9 + 16. Let f = 17 - c. What is the units digit of f? 2 Suppose 6*c = -c + 434. What is the tens digit of c? 6 Let i = -3 + 7. What is the tens digit of (2/i)/((-3)/(-72))? 1 Let x = -10 - -31. What is the units digit of (-6)/(-3 + x/9)
{ "pile_set_name": "DM Mathematics" }
culate the remainder when 1465820 is divided by 348. 44 What is the remainder when 2530682 is divided by 2727? 26 What is the remainder when 171366 is divided by 944? 502 Calculate the remainder when 80036896 is divided by 244. 16 What is the remainder when 13772436 is divided by 358? 176 What is the remainder when 293686 is divided by 261? 61 What is the remainder when 1305606118 is divided by 68? 66 What is the remainder when 1684577 is divided by 561442? 251 What is the remainder when 32414374 is divided by 100? 74 Calculate the remainder when 372132 is divided by 4327. 10 What is the remainder when 2125585 is divided by 167? 9 Calculate the remainder when 1276517 is divided by 830. 807 What is the remainder when 26625 is divided by 8359? 1548 What is the remainder when 4173486 is divided by 173895? 6 Calculate the remainder when 11033171 is divided by 11902. 17 What is the remainder when 10856 is divided by 5366? 124 Calculate the remainder when 2541001 is divided by 1871. 183 Calculate the remainder when 14990 is divided by 14490. 500 Calculate the remainder when 93872 is divided by 3603. 194 Calculate the remainder when 679510 is divided by 425. 360 What is the remainder when 6648391 is divided by 164? 159 What is the remainder when 1411894 is divided by 1117? 6 What is the remainder when 17948 is divided by 2856? 812 What is the remainder when 209752 is divided by 38? 30 Calculate the remainder when 1248068 is divided by 1248030. 38 Calculate the remainder when 9246994 is divided by 113. 91 Calculate the remainder when 163279 is divided by 562. 299 Calculate the remainder when 15018 is divided by 3643. 446 Calculate the remainder when 15677397 is divided by 17615. 47 Calculate the remainder when 497232 is divided by 310. 302 Calculate the remainder when 45191 is divided by 5010. 101 Calculate the remainder when 15565919 is divided by 1234. 243 What is the remainder when 8179812 is divided by 10012? 8 Calculate the remainder when 235726527 is divided by 30. 27 What is the remainder when 79013904 is divided by 8909? 8892 Calculate the remainder when 1045294 is divided by 522400. 494 Calculate the remainder when 505877 is divided by 252929. 19 What is the remainder when 310294 is divided by 15426? 1774 What is the remainder when 46044532 is divided by 192? 52 Calculate the remainder when 116131 is divided by 2754. 463 Calculate the remainder when 7603174 is divided by 475198. 6 What is the remainder when 706498 is divided by 375? 373 Calculate the remainder when 9236907 is divided by 543346. 25 What is the remainder when 1448284 is divided by 161? 89 Calculate the remainder when 292991 is divided by 55092. 17531 What is the remainder when 128358 is divided by 153? 144 Calculate the remainder when 1539495 is divided by 64. 39 What is the remainder when 30866 is divided by 1621? 67 What is the remainder when 1633216 is divided by 8166? 16 What is the remainder when 300368 is divided by 187? 46 Calculate the remainder when 98592 is divided by 8204. 144 What is the remainder when 585011 is divided by 97225? 1661 What is the remainder when 6305101 is divided by 2101687? 40 Calculate the remainder when 18971840 is divided by 1452. 8 Calculate the remainder when 130463 is divided by 932. 915 Calculate the remainder when 186244560 is divided by 44. 40 Calculate the remainder when 146912922 is divided by 335. 12 Calculate the remainder when 2189155 is divided by 2107. 2089 Calculate the remainder when 11110 is divided by 899. 322 Calculate the remainder when 507325718 is divided by 10. 8 What is the remainder when 527846 is divided by 175169? 2339 What is the remainder when 146128 is divided by 583? 378 What is the remainder when 71563 is divided by 14112? 1003 What is the remainder when 110603 is divided by 5077? 3986 Calculate the remainder when 70287679 is divided by 23429218. 25 What is the remainder when 12210351 is divided by 968? 967 Calculate the remainder when 4375493 is divided by 543. 542 What is the remainder when 648128 is divided by 11999? 182 What is the remainder when 165956 is divided by 117? 50 Calculate the remainder when 2606753 is divided by 53. 1 What is the remainder when 8457796 is divided by 2339? 2311 Calculate the remainder when 1143242 is divided by 362. 46 What is the remainder when 139001522 is divided by 168? 2 What is the remainder when 18938571 is divided by 232? 179 What is the remainder when 2419757 is divided by 33? 32 Calculate the remainder when 601091231 is divided by 1484. 1483 Calculate the remainder when 26578075 is divided by 4662. 13 Calculate the remainder when 1409238 is divided by 128098. 160 Calculate the remainder when 58066 is divided by 2235. 2191 What is the remainder when 1793782 is divided by 49819? 298 What is the remainder when 355188639 is divided by 71? 63 Calculate the remainder when 278576 is divided by 3869. 8 What is the remainder when 6483 is divided by 194? 81 Calculate the remainder when 726494 is divided by 145298. 4 What is the remainder when 69922431 is divided by 346? 329 What is the remainder when 1778498 is divided by 3407? 44 What is the remainder when 3788088 is divided by 450? 438 Calculate the remainder when 498627 is divided by 1467. 1314 Calculate the remainder when 1662624 is divided by 2922. 6 Calculate the remainder when 141232298 is divided by 7. 4 What is the remainder when 1895043 is divided by 9870? 3 What is the remainder when 3573283 is divided by 899? 657 What is the remainder when 9742999 is divided by 555? 529 What is the remainder when 4719887 is divided by 620? 447 Calculate the remainder when 14912 is divided by 265. 72 Calculate the remainder when 362541909 is divided by 305. 304 Calculate the remainder when 296636 is divided by 2941. 2536 Calculate the remainder when 6512219 is divided by 913. 703 What is the remainder when 92634305 is divided by 4793? 4787 Calculate the remainder when 88507 is divided by 3057. 2911 Calculate the remainder when 1155586 is divided by 4328. 10 Calculate the remainder when 226449913 is divided by 74. 71 Calculate the remainder when 135853 is divided by 67858. 137 Calculate the remainder when 23572118 is divided by 17. 3 What is the remainder when 78635 is divided by 78624? 11 What is the remainder when 63657 is divided by 563? 38 Calculate the remainder when 19395857 is divided by 1491988. 13 Calculate the remainder when 3306492 is divided by 472341. 105 What is the remainder when 33560639 is divided by 1376? 1375 What is the remainder when 3404681 is divided by 47? 1 Calculate the remainder when 753878 is divided by 8194. 30 Calculate the remainder when 1139373 is divided by 625. 623 Calculate the remainder when 226310 is divided by 1272. 1166 Calculate the remainder when 221366 is divided by 271. 230 What is the remainder when 27556369 is divided by 96689? 4 Calculate the remainder when 44128447 is divided by 191032. 55 Calculate the remainder when 39448394 is divided by 9. 8 What is the remainder when 104576 is divided by 20590? 1626 Calculate the remainder when 1592488 is divided by 199051. 80 What is the remainder when 3597142 is divided by 1199047? 1 Calculate the remainder when 91253 is divided by 29771. 1940 Calculate the remainder when 1417305 is divided by 459. 372 Calculate the remainder when 118897 is divided by 6983. 186 Calculate the remainder when 1375831 is divided by 412. 163 Calculate the remainder when 6297171 is divided by 18. 15 What is the remainder when 18569 is divided by 8690? 1189 Calculate the remainder when 1721604 is divided by 3464. 3460 Calculate the remainder when 30721551 is divided by 518. 7 Calculate the remainder when 97831198 is divided by 719347. 6 What is the remainder when 682977589 is divided by 897? 892 What is the remainder when 1861640 is divided by 7? 4 What is the remainder when 615728457 is divided by 20? 17 Calculate the remainder when 35112 is divided by 1360. 1112 Calculate the remainder when 348291437 is divided by 479. 478 Calculate the remainder when 11439 is divided by 440. 439 Calculate the remainder when 15435 is divided by 223. 48 Calculate the remainder when 609 is divided by 198. 15 What is the remainder when 313807 is divided by 15690? 7 What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
) -2/11 c What is the nearest to -2/5 in -4, 5, -2, -13? -2 Which is the closest to 1? (a) -1 (b) -6 (c) 2/3 (d) 0.4 c Which is the nearest to 10/21? (a) 1 (b) -0.1 (c) 0.5 c What is the closest to -1.4 in -4, -0.2, -0.8? -0.8 Which is the closest to -1.33? (a) -1/2 (b) -5 (c) 9 (d) 3/5 a What is the nearest to 3 in 3, -7, 1? 3 Which is the nearest to 1? (a) -0.083 (b) -1 (c) 0.4 c What is the closest to -2/5 in 40/9, -3, 2, 1? 1 What is the closest to 1 in -4, -1, 4, -3/4? -3/4 Which is the closest to 2? (a) 37 (b) 4 (c) -2 (d) 1 d What is the closest to -7 in 0.4, 2.7, -2/23? -2/23 What is the closest to 1/3 in 3, 1/9, -0.3? 1/9 Which is the closest to -0.003? (a) -5 (b) 0.1 (c) -2 b Which is the closest to -3? (a) -1/4 (b) -2/3 (c) -0.79 c What is the nearest to 4 in 0, -0.5, 0.5? 0.5 What is the closest to -5 in -1, 3, 129? -1 What is the nearest to 5 in -4, -1, -0.7, -1/3? -1/3 Which is the nearest to 1? (a) -0.2 (b) -0.4 (c) 2/13 c Which is the closest to -3/10? (a) 207 (b) -0.4 (c) -1 b What is the closest to -1/6 in 0, 1, 0.08? 0 What is the closest to 6 in -0.2, 6, 4, -0.5? 6 What is the nearest to 3/19 in 0.07, 0.2, 2/9, -0.2? 0.2 Which is the closest to -3? (a) -0.3 (b) 0.6 (c) -3 (d) 2 c Which is the nearest to -1/3? (a) -5 (b) -0.2 (c) -2/13 b What is the nearest to -2/7 in -3/4, 1/6, -1? 1/6 What is the nearest to -6/23 in 1/3, -56, 4? 1/3 What is the closest to 2/5 in 0, 0.4, 4, -430? 0.4 What is the closest to -16 in -3/2, 0.4, 1? -3/2 What is the nearest to 6 in 19, 5, -2? 5 What is the nearest to -1 in 0.7, 5, 8/5? 0.7 Which is the nearest to 1/2? (a) -7 (b) -0.19 (c) 3 (d) -1 b Which is the closest to -1/3? (a) -2 (b) 0.3 (c) 51 b Which is the closest to 1? (a) 6 (b) 4 (c) -0.05 c Which is the closest to 3/5? (a) 2/5 (b) -5 (c) -2/17 (d) 3 a What is the closest to 4 in -2, 1, -0.12? 1 What is the closest to 1192 in 0.3, -3/5, -2/9? 0.3 What is the closest to -1 in -0.1, -1, 4, 2/7? -1 What is the closest to 2 in 5, 0, -0.06? 0 What is the nearest to 0.06 in 2, 1, 1/4, -1.09? 1/4 Which is the closest to 0.2? (a) 0 (b) -2/5 (c) 1350 a Which is the closest to 1/3? (a) -4 (b) 3 (c) -2/15 c What is the nearest to -0.1 in 3/8, -5, 0.2, 0.3? 0.2 Which is the closest to 1? (a) -2 (b) -5 (c) 3/8 (d) -0.1 c What is the nearest to 6 in -1/3, -6, 1/5? 1/5 What is the closest to 1 in -2, 0.2, 29? 0.2 Which is the nearest to 1/2? (a) 1/3 (b) 0.437 (c) 0.08 b What is the nearest to 59 in 0.3, 4, 2? 4 What is the closest to -1 in -77, -1/2, 0.2? -1/2 Which is the nearest to -1? (a) 1 (b) 1/19 (c) 0.07 (d) -2/15 d What is the closest to 2/3 in -6/317, 0.7, 0.1? 0.7 Which is the nearest to 0.1? (a) -1/2 (b) 4/7 (c) 0.4 (d) -1 c What is the nearest to 0 in 2/5, 0, 31? 0 Which is the closest to 1? (a) 15 (b) -4 (c) 12/7 c What is the nearest to 2/35 in -0.3, -3/4, 0.3? 0.3 Which is the closest to -1/6? (a) 3/4 (b) 0.02 (c) 1 (d) 3 b Which is the nearest to -1? (a) 0 (b) -1/5 (c) 0.1 (d) 0.5 b What is the nearest to 2 in 2/5, 1/2, -4, 1/4? 1/2 What is the closest to -153 in 4/3, 5/4, -2? -2 Which is the nearest to 4? (a) 1 (b) 4 (c) -2 b What is the closest to 1 in -4, -3, 11, -2/9? -2/9 What is the nearest to -2.1 in 0.5, 2, -127/3? 0.5 Which is the closest to 1/4? (a) 0.019 (b) 1 (c) 1/3 c What is the nearest to 1/4 in 7, 2/15, -7, -5? 2/15 What is the nearest to -0.19 in -2/17, -10, -2/9, 1/2? -2/9 Which is the closest to 0.06? (a) -3 (b) -0.3 (c) -16/9 (d) 3 b What is the closest to -1 in 3/5, 1/6, 2/19, -0.4? -0.4 Which is the closest to 1/2? (a) -0.3 (b) 4/3 (c) 0.4 c What is the closest to 0 in -4, -2, 10? -2 Which is the nearest to 3/106? (a) -0.5 (b) 2/5 (c) 1/2 b Which is the nearest to -1? (a) -0.3 (b) -43/7 (c) 0.2 (d) 1 a What is the nearest to -0.2 in 0.5, -1, -14? 0.5 What is the closest to 1/5 in -2, 2, -5/43? -5/43 What is the closest to 0.2 in -0.2, -3, 3, 23? -0.2 What is the closest to -1/4 in 4, 3.6, -0.03? -0.03 What is the closest to 0.7 in 5, 2, 230? 2 What is the closest to -4 in -374, -0.1, 3, 4? -0.1 Which is the nearest to 2? (a) 0.12 (b) 0.1 (c) -2/5 a Which is the closest to -3? (a) -5 (b) 2 (c) 5 (d) -10 a Which is the nearest to 0? (a) 165 (b) -0.5 (c) -1 (d) 4 b What is the nearest to -1 in -4, -2/13, -1/6? -1/6 What is the closest to -35 in -3, -6, 0, 0.4? -6 Which is the closest to 0? (a) -1/21 (b) 0.2 (c) 0.4 (d) 0.3 a Which is the closest to -5? (a) 0 (b) -5 (c) 0.2 (d) 8 b What is the closest to 1/6 in 0, -0.4, 0.2, -0.5? 0.2 Which is the nearest to 4/3? (a) 0.3 (b) 1/2 (c) 36 (d) 4 b Which is the closest to 1? (a) -4/7 (b) -19 (c) -10 a What is the closest to 32 in 1/4, -0.3, 0, 2/3? 2/3 What is the nearest to 2 in -1, -4, 4? 4 What is the nearest to -3 in 4, -2, 1/17? -2 What is the nearest to -0.81 in -5/6, -2, -3, 0.3? -5/6 Which is the closest to -4? (a) 0.5 (b) -2 (c) -1 (d) 0.02 b What is the closest to -1/2 in -165, 2, 3? 2 What is the closest to 1 in 5.2, -13, 3? 3 Which is the closest to 0.1? (a) 10 (b) 1/10 (c) 28 b Which is the nearest to 0? (a) 0 (b) 0.22 (c) -3 (d) 0.1 a Which is the nearest to -1? (a) 0.3 (b) -0.4 (c) -0.9 (d) -8 c What is the closest to -2 in 2/3, -2/3, 15? -2/3 Which is the closest to -1/2? (a) 3 (b) 0.308 (c) -0.4 c Which is the nearest to 0.1? (a) 1/4 (b) -5 (c) -1.3 (d) 2/5 a What is the closest to 1 in 0.4, -257, 5? 0.4 What is the closest to -0.1 in -2, -1/6, -0.048? -0.048 Which is the closest to 1? (a) 0 (b) -2 (c) -1 a What is the nearest to 0.02 in 4, 2/15, 1, -0.033? -0.033 Which is the closest to 2/9? (a) 1/2 (b) 3/5 (c) 2 (d) 23 a Which is the nearest to 3? (a) 2/7 (b) -3 (c) 1 c Which is the closest to 2/7? (a) 5 (b) 1 (c) 0.1 (d) -0.1 c Which is the nearest to 8? (a) -2 (b) 1/6 (c) 3/5 c Which is the nearest to 1/2? (a) 0.2 (b) -1/3 (c) 0.3 (d) 1/9 c Which is the nearest to -2/7? (a) 5/6 (b) 2.4 (c) -6 a What is the nearest to 1 in -12, -11, 0.3, 1? 1 Which is the closest to 18/7? (a) 4 (b) 2 (c) -4 b What is the nearest to -1/4 in -7, 13, -5, 3/4? 3/4 What is the closest to 1 in 0.2, -0.05, -11, 4? 0.2 Which is the nearest to -0.1? (a) -3/2 (b) -2/7 (c) -25 (d) 4 b Which is the nearest to 10? (a) -2/11 (b) 3 (c) -1 b What is the nearest to -2 in 2/5, -0.1, 3/5, 0.027? -0.1 Which is the nearest to 0? (a) -0.9 (b) -0.3 (c) -5 (d) 1/5 d What is the closest to -4 in -1/5, -2/19, 0.4? -1/5 Which is the closest to -1.6? (a) 2/9 (b) -1 (c) -1/2 b Which is the nearest to -3/7? (a) -5/4 (b) 0.14 (c) -4 b What is the nearest to 2 in 22, -0.5, 5? -0.5 What is the nearest to 1 in -2, -14, 2/21, -0.1? 2/21 What is the nearest to 9/2 in 5, -2/11, -0.1? 5 Which is the closest to 5/2? (a) -11 (b) -4 (c) -0.4 c Which is the closest to 0.1? (a) -37/6 (b) -0.4 (c) 9/8 b What is the nearest to 0 in 2, 43, -2.2? 2 Which is the closest to 0.346? (a) 3/2 (b) 0 (c) 0.9 b Which is the nearest to 0? (a) -2/11 (b) -1 (c) -1/4 (d) -0.6 a What is the nearest to 5/2 in 1, 3/7, 1.2, -0.3? 1.2 Which is the nearest to 1? (a) 7 (b) -1/3 (c) 5 b What is the nearest to -0.01 in 0.5, -3, 0, -0.1? 0 What is the nearest to -1/6 in -0.4, 48, 5/2? -0.4 What is the nearest to -1/2 in 0.1, -32, -9? 0.1 Which is the nearest to 2? (a) 0.04 (b) -1.5 (c) 0.3 c Which is the nearest to 0.2? (a) -3 (b) 5 (c) 0.1 (d) 62/5 c Which is the closest to 1/4? (a) 2 (b) 0.52 (c) 1/10 c Which is the nearest to 1? (a) 4/7 (b) -0.2 (c) 2/11 (d) 0.06 a Which is the nearest to -1359? (a) -5/4 (b) -0.2 (c) 1 a What is the nearest to -1/4 in -2/7, -2/9, 3, 0.2? -2/9 What is the closest to 1/46 in 2/9, 0, -4? 0 Which is the nearest to -4? (a) -2/3 (b) -4 (c) -1/14 (d) 5 b What is the closest to 22 in 2/15, 1, -17? 1 Which is the closest to 2? (a) -0.11 (b) -1 (c) -0.4 (d) 0.5 d What is the nearest to 2 in 2/7, 5, 1, -4? 1 What is the closest to -2/3 in -3, -34, -18? -3 Which is the nearest to -1? (a) -4 (b) 2/5 (c) -2/5 c What is the closest to 1 in 3, -1347, -1/9? -1/9 What is the closest to -1 in -10, 0, -2/15, 13/2? -2/15 What is the closest to -1 in -2, 0.3, -0.24? -0.24 What is the
{ "pile_set_name": "DM Mathematics" }
(y) - r(y). Let h(i) = i**2 - i. Let v(k) = 5*h(k) + m(k). List the prime factors of v(-7). 7 Suppose -1579 = -3*b + 5*k, -2148 = -4*b - 21*k + 17*k. What are the prime factors of b? 13, 41 Let p = -4 + -6. Let t be -1 + 2*p/(-4). Suppose -t*z + 104 = 6*m - m, 0 = -3*z - 12. List the prime factors of m. 2, 3 Let n(b) be the third derivative of 0*b - 1/60*b**5 + 0 - 2*b**3 + b**2 - 2/3*b**4. What are the prime factors of n(-6)? 2, 3 Suppose -c + 3 = 0, 9*c - 8*c + 1817 = 4*l. What are the prime factors of l? 5, 7, 13 Let n(a) = -4*a - 20. Let r(j) = -2*j - 10. Let i(f) = 2*n(f) - 5*r(f). Let h be i(-11). What are the prime factors of 56/h*15/(-2)? 5, 7 Let s be (-70)/(-21) + 1/(-3). Let q = s - -3. List the prime factors of (2/q)/((-2)/(-198)). 3, 11 Suppose 106 = -4*j + 5*g - 183, -356 = 5*j - g. Suppose -u = l - 0*l + 41, -4*u + 196 = -5*l. Let c = l - j. What are the prime factors of c? 31 Let u(l) = 62*l**2 + 2*l + 1. Let a be u(-1). Suppose -n = -h - a, 2*n - 4*h = -0*n + 132. List the prime factors of n. 2, 7 Let a be 1*(1 - 0)*4. Suppose 2*q = 7*q + 4*v - 908, 4*q = -v + 722. Suppose -44 = a*t - q. What are the prime factors of t? 2, 17 Suppose 3*i + 3 = 3*l, 3*i - 2*i + 7 = 2*l. Let q be (-6)/18 - (-38)/l. Suppose 0 = q*o - 2*o - 84. List the prime factors of o. 3, 7 Let q(g) be the third derivative of -g**5/20 + g**4/24 - g**3/6 - 4*g**2. Let c be q(1). List the prime factors of 13/(-2)*6/c. 13 Suppose 76 = 11*l - 16523. What are the prime factors of l? 3, 503 Let z be (-93)/(-24) + 2/16. Suppose 5*d + z*y - 277 = 0, -5*d - 5*y - 18 = -298. List the prime factors of d. 53 Let g = 266 - -618. List the prime factors of g. 2, 13, 17 Suppose 0 = -10*l - 238 + 388. List the prime factors of l. 3, 5 Suppose 0 = 3*t + 3*q - 4026, -9*t + 4*q = -10*t + 1339. List the prime factors of t. 17, 79 Suppose 5*a - 3*a + 5*d = 263, -4*a + 3*d + 565 = 0. Suppose -a + 29 = -5*m. List the prime factors of m. 2, 11 Let j(d) = -49*d - 2. Let z be j(-1). Suppose t + 9 = z. Suppose -5*a - t = -103. What are the prime factors of a? 13 Suppose -4*g = v - 436, 0*v - 1696 = -4*v - 4*g. List the prime factors of v. 2, 3, 5, 7 Let s = -47 - -62. Let c be -70*((-3 - -2) + 0). List the prime factors of 1/(s/6)*c. 2, 7 Let p be (-3)/(2 - 5)*5. Let c be 2*(-1 - p/(-2)). Suppose 0 = c*x - 88 - 50. List the prime factors of x. 2, 23 Let d(o) be the third derivative of o**5/60 + 11*o**4/24 + 35*o**3/6 + 25*o**2. What are the prime factors of d(-10)? 5 Let o(h) be the first derivative of -h**4/4 + 2*h**3 + 5*h**2/2 - 6*h - 8. What are the prime factors of o(4)? 2, 23 Suppose 20*l + g - 2086 = 18*l, -3*l + 3140 = -4*g. List the prime factors of l. 2, 3, 29 Let s(h) be the second derivative of h**5/20 - 5*h**4/6 - 2*h**3/3 + 8*h**2 + 32*h. List the prime factors of s(11). 3, 31 Let c(d) = 7*d - 11. Let x be c(13). Suppose 5*p - 30 - x = 0. What are the prime factors of p? 2, 11 Suppose -v = -2*h - 2*v + 13, v + 43 = 5*h. Let k = 5 + -3. Suppose r - d - h = -k*d, -2*r + d = -1. List the prime factors of r. 3 Let j = 3848 - -11115. Let n be j/52 + 3/(-4). Suppose 0 = 3*o + 53 - n. List the prime factors of o. 2, 3, 13 Let w(k) = -k + 11. Let l be w(9). Let b be l*(-7)/2 - -2. What are the prime factors of 3 - 2 - (b + 2)? 2 Let z(m) = 27*m**2 - 22*m + 261. List the prime factors of z(10). 2741 Let h(w) = w - 1. Let p(b) = -b**3 + 10*b**2 + 5*b + 14. Let u(t) = -3*h(t) - p(t). List the prime factors of u(12). 181 What are the prime factors of ((-4344)/(-16) - -11)/((-2)/(-4))? 5, 113 Let k(g) = 7*g + 4. List the prime factors of k(19). 137 Let n(y) = y - 6 + 3*y**2 + 5 + 15 - 8*y. What are the prime factors of n(5)? 2, 3 Let o(g) = g**3 - 8*g**2 - 11*g + 11. Suppose -m + 9 = -0*m. Let v be o(m). What are the prime factors of (-26 + 0)*v/7? 2, 13 Let b be (-80)/15 + 1/3. Let o = -153 - -137. Let s = b - o. What are the prime factors of s? 11 Let v = 3059 + -2540. List the prime factors of v. 3, 173 Let a(n) = -10*n**3 - n**2 - n. Let l be a(-1). Let z be 85/l + (-4)/8. List the prime factors of 4/z*(3 + 23). 13 Suppose -2*i + 508 = 5*t, -2*i + 174 + 328 = 2*t. What are the prime factors of i? 3, 83 Let f be 2/8 + 3/4. Suppose 0 = -k - f, 3*c + c + 4*k = -4. Suppose 0 = -3*g + 57 - c. What are the prime factors of g? 19 Suppose -169 = -2*t + 65. Suppose 4*o + 78 = f, -21 - t = -2*f - o. Let b = f - 31. What are the prime factors of b? 3, 13 Let r(b) = 4*b**2 + 17*b - 1. What are the prime factors of r(-12)? 7, 53 Suppose 3*y = 2*v - 1926, 2*v + 3*y - 995 - 943 = 0. List the prime factors of v. 2, 3, 7, 23 Let d(c) = 3*c + 13 + 1 - 12*c + 2*c. What are the prime factors of d(-6)? 2, 7 Let m = -181 - -242. What are the prime factors of m? 61 Suppose 0 = 5*i - 2*l - l - 25, -5*i + 4*l = -25. Suppose i*w - 1009 = -3*m + 620, 2*m - 977 = -3*w. List the prime factors of w. 3, 109 Let m = -22 - -79. Suppose a + 0 = m. Let g = -32 + a. List the prime factors of g. 5 Let m(k) = -k**3 + 5*k**2 - 3*k - 2. Let f be m(4). Let h = 8 - 6. Suppose -5 = -6*a + 3*a - 4*v, f*a + h*v = 6. List the prime factors of a. 7 What are the prime factors of 4/18 - (43498/(-117) + -3)? 3, 5 Let u be 1 + 10*(-3)/(-6). Suppose 0 = -u*s + 5*s + 6. Suppose -2*p - 3*j = -11, 3*p = s*p - 3*j - 9. What are the prime factors of p? 2 Let c be (3/2)/((-4)/16) - 17. Let t(j) = -j**3 - 7*j**2 - 4*j - 1. Let m be t(-5). Let h = c - m. What are the prime factors of h? 2 Let v = 11 - 9. Suppose 0 = 4*g - v*g - 64. List the prime factors of ((-152)/g)/((-1)/4). 19 Let x(c) = 564*c**3 - 524*c**3 - 4 + 3*c + 1 - c**2 + 0*c**2. List the prime factors of x(1). 3, 13 Let w = 2 + -20. Let k = w + 18. Let o = k + 45. What are the prime factors of o? 3, 5 Let k be (((-44)/(-4))/(-1))/1. Let s(o) = o**2 + 10*o - 10. Let d be s(k). What are the prime factors of (3 - (2 + -28))*d? 29 Let l = 799 + 147. What are the prime factors of l? 2, 11, 43 Let k = -214 - -424. What are the prime factors of k? 2, 3, 5, 7 Let m be (4 - 7) + (0 - -1)*-242. Let d = 400 + m. List the prime factors of d. 5, 31 Let h = -450 - -770. Suppose 80 = 4*u - h. List the prime factors of u. 2, 5 Let y(j) = 5*j**2 + 14 + 4*j + j - j**3 - 13. Suppose -2*o + 30 = 5*v + 3*o, 2*o = 5*v - 16. List the prime factors of y(v). 37 Suppose -3*m + 4*f + 253 = -310, 0 = 5*m + 2*f - 921. Let z(l) = -11*l**3 - l**2 - l - 1. Let t be z(-1). List the prime factors of (m/t)/((-1)/(-2)). 37 Suppose 23*v = 21*v + 682. List the prime factors of v. 11, 31 Let w(j) = -7*j + 12. Let p be w(-6). Suppose 13*c - 15*c + p = 0. List the prime factors of c/(-18) + 254/4. 2, 31 Suppose 5*o - 2 = -7. Let j be 5 + o + -3 + 1. Suppose -4*w - 4*r + 112 = 0, -3*w + 2*w + j*r + 13 = 0. What are the prime factors of w? 23 Let u = -2 - 0. Let j be ((-28)/(-8) + -3)*u. What are the prime factors of 16/2*j/(-2)? 2 Let u(z) be the second derivative of -z**4/12 + 11*z**3/6 + z**2/2 + 42*z. Suppose 2*x + 5*h = 41, 0*x + 3*h - 31 = -2*x. What are the prime factors of u(x)? 5 Let j be ((-22)/4)/(3/(-6)). Let s = j - 25. Let d = s + 25. List the prime factors of d. 11 Let o = 250 - 101. Suppose 353*y - 495 = 348*y. Suppose 0 = -3*q + x + o, -x + 0*x = -2*q + y. What are the prime factors of q? 2, 5 Suppose 0 = 17*d - 14*d + 3, 909 = 5*n + d. What are the prime factors of n? 2, 7, 13 Let g(j) = j + 0 + 4 + 2*j**2 - 4 + 6. List the prime factors of g(-4). 2, 17 Let c(t) = 2*t**3 - 7*t**2 - 3*t + 4. Let p be c(4). Let g(o) = o**3 - 8*o**2 + 13*o - 27. List the prime factors of g(p). 7, 11 What are the prime factors of (-70042)/(-63) - -4*(-2)/(-36)? 2, 139 Let p(l) = -l**3 - 25*l**2 - 99*l - 15. What are the prime factors of p(-24)? 3, 5, 7, 17 Let s = 40 - -2280. List the prime factors of s. 2, 5, 29 Let j(v) be the third derivative of -11*v**6/120 + v**5/60 - v**3/6 - 2*v**2. Let w(m) = -2*m + 1. Let l be w(1). What are the prime factors of j(l)? 11 Suppose 27*u + 2944 = 27622. What are the prime factors of u? 2, 457 Let b(x) = 2*x**2 - 8. List the prime factors of b(-3). 2, 5 Let b(d) = 2*d**3 - 7*d**2 + 4*d - 24. Suppose 8*p + 14 = 54. What are the prime factors of b(p)? 71 Suppose -2*s - 4*r = -44, -2*s + 0*s + 3*r = -58. Let q(k) = -67 - s*k - 64 + 137. What are the prime factors of q(-2)? 2, 29 Let g
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 87 and o. 3 Suppose -360 = -23*z - z. Suppose z*j - 854 = 526. What is the highest common divisor of 8 and j? 4 Let g be (-276)/115*(-89000)/30. What is the greatest common factor of g and 80? 80 Suppose 2*h - 30 = -2*h - 2*k, h + 5*k - 3 = 0. Let o be (40/120)/(2/144). Calculate the highest common divisor of o and h. 8 Let f = 34561 - 34542. Let x be -2 + 2 + 57 + 0. Calculate the greatest common factor of f and x. 19 Suppose 899 = 4*j + 199. Let q be ((-250)/j)/((-2)/70). Let i = q + -32. What is the greatest common factor of 6 and i? 6 Let u = -3803 + 4967. Calculate the greatest common divisor of 36 and u. 12 Let d be 13181/(-77) - 4/(-22). Let h = d - -190. What is the highest common factor of h and 361? 19 Suppose -40 = -0*j + 4*j. Let w be (12/(-10))/(4/j). Suppose -5 = -3*p - 26*v + 24*v, 0 = 3*v + 6. What is the greatest common factor of w and p? 3 Suppose 40 = 2*r - 2*t, -5*t - 87 = -r - 51. Let u = 3 + 7. Calculate the highest common divisor of u and r. 2 Let w be -68*((-81)/18 + 1075/(-20)). What is the greatest common factor of w and 1398? 233 Let f = -2677 - -5029. Calculate the highest common factor of 48 and f. 48 Let m(p) = -p**3 - 5*p**2 - p + 5. Let j be m(-5). Let s be (-3)/12*(-1540)/7. Let i be (s/j)/((-4)/(-72)). What is the greatest common divisor of 9 and i? 9 Let f be 350/2*(-276)/(-115). What is the highest common factor of 220 and f? 20 Suppose r + 140 = 6*r. Suppose -5*l + 131 = -5*s + 1, -3*l = -5*s - 60. What is the highest common divisor of r and l? 7 Let z be 30/(-105) + (-9)/7*-15. Let m = 50 + -49. Calculate the greatest common divisor of z and m. 1 Let w be 3/((-3 - -6)/(-15))*288/(-240). Let l be (-3)/(-9) - 125/(-3). What is the greatest common divisor of l and w? 6 Let f = 13343 + -13168. Let j(v) = 50*v**2 - v - 1. Let c be j(-1). What is the highest common divisor of f and c? 25 Let s(v) = -111*v - 2065. Let j be s(-59). What is the highest common divisor of 236 and j? 236 Let a = 32 + -64. Let p = -22 - a. Let v = p + 3. Calculate the greatest common factor of 117 and v. 13 Let c = 3084 - 3060. What is the greatest common divisor of c and 8328? 24 Let z be 4*1 + (-19 - -15). Suppose 13*n - 12*n = z. Let c be n + (-44)/(-4) - -1. What is the greatest common divisor of 96 and c? 12 Suppose r = 3*a - 10, 2*a + 2 - 10 = 0. Suppose 6*v = r*v + 264. Let t be (-1 + 4)*22/6. Calculate the greatest common divisor of v and t. 11 Let j = -11040 - -11115. What is the greatest common factor of 1175 and j? 25 Let h(b) = 14*b**2 + 3*b - 1. Let a be (2 - 1)*(-4)/(-4). Let w be h(a). Suppose 5*c - 2 = 18. What is the highest common factor of w and c? 4 Suppose 631 = 11*j - 392. Suppose b + 11 = 42. Calculate the highest common divisor of b and j. 31 Suppose -115*s + 107804 + 130476 = 0. Calculate the greatest common factor of 616 and s. 56 Suppose 42 = -24*h + 30*h. Suppose 3*w + m = -4*m + 736, 0 = 2*m + 8. What is the greatest common divisor of w and h? 7 Suppose -7*x + 2 = -6*x. Let j be ((-1)/2*-3)/((-39)/416). Let z(b) = b**2 + 16*b + 6. Let w be z(j). What is the highest common factor of x and w? 2 Let a = 191 + -155. Let x be (-6)/((-4)/a*6). Suppose 0 = -4*i + 198 - 18. What is the highest common factor of i and x? 9 Suppose -42 = 6*w - 576. Let i = w + -72. Suppose -38 - 132 = -5*s. What is the greatest common factor of s and i? 17 Let c(y) = 45*y + 1. Let j be c(-7). Let z = 508 + j. Let a = -66 + z. Calculate the highest common divisor of 32 and a. 32 Let m be (-18)/42 - 177639/(-147). Calculate the highest common divisor of m and 248. 8 Suppose -14*j = 2*u - 15*j, -4*u + 18 = j. What is the greatest common factor of 789 and u? 3 Let r = -14119 - -15560. What is the greatest common divisor of 99 and r? 11 Let h = -19 - 364. Let z = h + 385. Calculate the greatest common factor of 19 and z. 1 Suppose -3*k + 2*h = -199 - 265, -5*k + 4*h + 772 = 0. What is the highest common divisor of 117 and k? 39 Suppose 4*o = 9*o - 4*d - 281, 4*d - 4 = 0. Suppose -o*z - 105 = -60*z. Let v = 1 + 4. What is the highest common factor of z and v? 5 Let x(z) = 159*z**2 - 27*z - 310*z**2 + 152*z**2. Let b be x(-11). What is the greatest common factor of b and 44? 22 Let d(z) = 39*z**3 + 2*z**2 - z + 2. Let i be d(2). Suppose -2*c + 80 = 4*u, 19*c - 48*u = -45*u + 760. What is the greatest common factor of i and c? 40 Let k = -8955 - -9115. What is the greatest common factor of 352 and k? 32 Let d be (16 - -2) + -2 - -251. Calculate the greatest common divisor of d and 17. 1 Let y be -6 + 7/7 - (-21461 - (3 - 4)). Calculate the highest common divisor of 70 and y. 35 Let m be ((-147)/(-5) - 2)/((-113)/(-1130)). What is the greatest common factor of 14111 and m? 137 Let u(v) = -v**3 - 7*v**2 + 15*v + 21. Let h be u(-7). Let s = h - -240. Calculate the greatest common divisor of 12 and s. 12 Let c be (-12)/28 + (22905/(-21))/3. Let g = c - -386. Calculate the highest common factor of 88 and g. 22 Suppose f - 19 = -3*t, 4*t - f = -5*f + 28. Let v be ((-174)/(-36) - t)/(1/(-6)). Suppose -1 = -3*w + 5. Calculate the highest common factor of v and w. 1 Let y(f) = -121*f + 4463. Let m be y(-70). What is the highest common divisor of m and 27? 27 Let r(z) = -9*z + 238. Let h be r(25). Suppose 0 = -2*v - 8, -57 = q - 4*q + 3*v. Let m = h + q. What is the highest common divisor of 14 and m? 14 Let z(p) = p**3 + 4*p**2 + 6*p - 5. Let u be z(5). Suppose -4*l + 4*k + 376 = 0, 0 = -15*k + 16*k - 6. What is the greatest common divisor of u and l? 50 Suppose 52*x = 3*k + 50*x - 65895, 4*k - 87860 = -2*x. Calculate the greatest common factor of 382 and k. 191 Let n = -145 + 170. Let h(q) = -q**2 + 25*q + 84. Let f be h(n). Calculate the greatest common factor of f and 12. 12 Suppose -2203 = -4*d + 4*i + 637, -1440 = -2*d - 2*i. What is the highest common divisor of 143 and d? 143 Let n be ((-1)/4)/((-401)/30476). Suppose 5*a - 1147 = -292. What is the greatest common divisor of a and n? 19 Let j be (-34)/(-8)*(-72)/(-18). Suppose j*k + k = 17028. Calculate the greatest common factor of 22 and k. 22 Let t = -103 - -334. Let y = 343 - t. What is the highest common divisor of 32 and y? 16 Let h(u) = u**3 + 5*u**2 - 3. Let m be h(0). Let w(v) = -29*v - 27. Let p be w(m). What is the greatest common divisor of 150 and p? 30 Let z = 267 + 70. Let f = z - 334. Calculate the highest common factor of 96 and f. 3 Let n(v) = -39*v**3 + 3*v**2 - 3*v - 1. Let u be n(-1). What is the greatest common divisor of 594 and u? 22 Let p(u) = -u**3 + 8*u**2 + 62*u - 412. Let y be p(10). Calculate the highest common factor of y and 2764. 4 Suppose -19*d - 63 = -28*d. Suppose -g + 10 = -3. Let n(q) = q**3 - 13*q**2 + 14. Let p be n(g). What is the highest common divisor of d and p? 7 Let f(c) = -58*c + 2822. Let s be f(35). What is the highest common factor of 561 and s? 33 Let f(q) = -2*q**2 - 32*q - 21. Let d be f(-9). Let i be 8/6*d/10. Calculate the greatest common divisor of i and 133. 7 Let m = 17646 + -17628. Let d be ((-6)/4 - -2)*60. Calculate the highest common divisor of m and d. 6 Suppose 4*a - 17*r = -21*r + 2276, -2*a + 2*r + 1146 = 0. What is the greatest common divisor of 2 and a? 1 Let a = 838 - -2102. Calculate the greatest common divisor of a and 10. 10 Let q be (-2758)/(-4)*(10 - 8). Calculate the highest common factor of q and 7. 7 Suppose 0 = 2*f - 2 - 6. Let d(q) = 6*q**2 - 4*q - 2. Let b be d(f). Suppose 17 = 2*m - 5*p, -1 = -p + 2*p. Calculate the highest common divisor of m and b. 6 Let u be ((9416/(-10))/11)/(2/(-5)). Let v = u - 122. What is the highest common divisor of v and 115? 23 Let k(n) = 18*n. Let z be ((2 - -4)/1)/1. Suppose 5*p - z = -1. Let s be k(p). Calculate the greatest common divisor of s and 198. 18 Let b be (-162)/(5 + (-93)/9 - -5). What is the greatest common factor of b and 864? 54 Suppose 0 = n - 5*u - 43, -84*n + 2*u = -79*n - 238. Calculate the highest common factor of 4656 and n. 48 Let f = -97 + 99. Suppose -f*b + b = -8. Let t(a) = a**3 - 7*a**2 - 5*a - 3. Let o be t(b). What is the highest common divisor of 3 and o? 3 Let y = -2835 + 4347. Let g = y - 984. Calculate the greatest common divisor of g and 33. 33 Let c(w) = 2*w**3 - 19*w**2 + 170*w - 1927. Let g be c(11). Let y = 37 -
{ "pile_set_name": "DM Mathematics" }
861. Which is the smallest value? (a) 0 (b) l (c) 2/35 (d) 3/7 b Let w = -190 - -190.2. Which is the second smallest value? (a) 0 (b) 1 (c) 4.1 (d) w d Let v = -67.36 - -0.36. Let f = v - -39. Let t = f - -28. What is the smallest value in -2, 2/23, t? -2 Let b(s) = s**3 + 2*s**2 - s + 6. Let w be b(-3). What is the biggest value in -9, -1, w, 4? 4 Let o = -541 + 4865/9. Which is the fourth smallest value? (a) -1 (b) o (c) -259 (d) 0.3 d Let h = 284 + -854/3. Which is the third smallest value? (a) -21 (b) h (c) 0.5 c Let l be (-16)/(-80)*(-5)/1. Which is the fourth biggest value? (a) -3 (b) -3/4 (c) 5 (d) l a Let r = 0.167 + -5.167. Which is the fourth smallest value? (a) r (b) -1.1 (c) -3 (d) -0.1 d Let m = -15.6 + 16. What is the fourth smallest value in 1/4, -4, m, -4/11? m Let o = 38 - 30. What is the third biggest value in o, 1/4, 5? 1/4 Let z = -0.0874 - -0.2974. What is the third smallest value in 3/2, z, -6? 3/2 Let t = 289/20 + -61/4. Suppose -5 = 5*g - 0. Let b = g + 6. What is the third smallest value in t, b, -1? b Let o = -0.35 + 16.35. Let q = 16.5 - o. What is the biggest value in 2, 1/4, q? 2 Suppose -37 = -2*f - 5*y, -8*y + 4*y + 14 = f. Which is the third biggest value? (a) 3 (b) f (c) 1/2 c Let c = -84 + 1598/19. What is the fourth biggest value in c, 0.1, 0, -5? -5 Let f = 677 - 672. Let w(r) = r + 10. Let z be w(-6). Let x be ((-5)/30)/(3/z). What is the third smallest value in x, f, 0.09? f Suppose 6*p = 4*p + 2. Let u = 0 + p. Let z = -0.38 + -4.62. What is the biggest value in z, u, 0.13? u Let v = 89.86 - 95. Let m = v + 0.14. Let o = 4.9 + m. Which is the second biggest value? (a) o (b) 2/9 (c) 2 b Let t = 0 - -2. Let l = 0.6 - 2.8. Let j = l + 3.2. What is the second smallest value in t, -4/7, j? j Let i = 40.1 - -4. Let f = 44 - i. What is the smallest value in 1/7, f, -0.5, 5? -0.5 Let z = 64 - 70. Let x be 1/(-1) + z/(-16) + 1. Let y = 2 - 2. Which is the second smallest value? (a) y (b) 0.3 (c) x b Let v(l) = 3*l + 2. Let r be v(-2). Let c be ((-3439)/(-95))/(4/5). Let z = 46 - c. What is the second smallest value in z, -2, r? -2 Let t = -0.29 - -1.59. What is the second biggest value in 3, t, 1? t Let g = 2.1258 - 0.1258. Let q = -0.6 + 0.66. Which is the third biggest value? (a) -2/13 (b) q (c) g a Let o be (((-20)/49)/(-5))/((-4)/(-14)). Which is the smallest value? (a) o (b) -2 (c) 2/17 (d) 0 b Let b = -0.17 + 8.17. Let j = b - 5. Let q = 2129.89 - 2130. What is the second smallest value in j, q, 0? 0 Let z = 1905/11 + -173. Let j be -2*(-4)/32*-4*-1. Let v = 3 + 0. Which is the third smallest value? (a) v (b) j (c) z a Let o = -12.52 + 12.72. Which is the smallest value? (a) -5 (b) o (c) 13 (d) -1 a Let g = 2627/12 + -219. Which is the third biggest value? (a) g (b) 3/14 (c) 0.3 (d) 2/7 b Let l = 0.403 + -0.603. Suppose -m + 5*g + 5 = -0*g, 2*m + 3*g - 10 = 0. Let h = -6 - -4. Which is the second smallest value? (a) h (b) l (c) m b Let x = 11.7 + -1. Let y = x + -11. Let l be (2 - 0) + 69/(-33). Which is the second biggest value? (a) y (b) 0.5 (c) l c Let h = 6 - 6. Let o be (-3)/((-6)/4*5). Which is the second biggest value? (a) o (b) h (c) 0.02 c Suppose 2*r - 20*r = -126. What is the third smallest value in 0, r, 0.5? r Let t = 51 - 45. Let u be (-4)/(-3)*t/12. Which is the fourth smallest value? (a) u (b) -0.1 (c) -0.07 (d) 1/5 a Let j = 0.164 + -0.364. Which is the second smallest value? (a) 2 (b) -11 (c) j c Let u = 4.3 + -4. Let v = u + -16.3. Let o = v + 15.6. Which is the second smallest value? (a) o (b) 1 (c) 0.5 c Let c = 1035 + -1034.7. What is the fourth smallest value in 0, c, 3, 15? 15 Let p = 156.3 - 163.3. Which is the second biggest value? (a) 1 (b) -2/27 (c) 0 (d) p c Let f = 88.6 - 12.6. Let p = -73 + f. What is the second biggest value in p, -3/5, 1/2? 1/2 Let o = 74 - 41. Which is the second smallest value? (a) o (b) 0 (c) -1/2 b Let f be (6 + -8)/(4 - 1 - -8). What is the third smallest value in -3/5, f, 5.8? 5.8 Let p = -29 + 27. Let g = -198 - -2176/11. Which is the third smallest value? (a) p (b) -5 (c) g c Let s = -1.2 + 1. Let c = 543.9 + -544. What is the biggest value in 1, -5, c, s? 1 Let u = -334/9 + 37. Let s be 1/(((-7)/4)/(-7)). Suppose -3*v - 3*q = -15, 4*v - s*q = -q - 15. Which is the third smallest value? (a) u (b) 1 (c) v b Let j be (-7 - -4)/(195/10). What is the smallest value in -2/9, 3/8, j, 2? -2/9 Let o = 843 + -838. Which is the third smallest value? (a) -3/4 (b) 17/3 (c) o b Let m = -4 - 0. Let u = 43 + -43. Let i be 22/(-12) - (-2 - u). What is the biggest value in m, i, 0? i Let v = 84.1 - 101. What is the second biggest value in 2, -3/2, v, -3? -3/2 Let t = 24.9 - 17. Let w = 8.2 - t. Which is the third biggest value? (a) w (b) -0.02 (c) 3/8 b Let x = -0.0796 + 1.0796. Which is the fourth smallest value? (a) 1/13 (b) x (c) 0 (d) -4/7 b Let f be (0/(-1))/(0 - -1). Let h(s) = -s**3 + 12*s**2 + 14*s + 10. Let v be h(13). Let m = v - 20. What is the second smallest value in -1, m, f? f Let t = -14456/15 - -964. Which is the second smallest value? (a) 0.2 (b) 0.4 (c) t (d) -2/5 a Let o = 2403/13 - 185. Suppose -5*t = 2*r, -r = 5*t - 5*r + 30. What is the biggest value in o, t, 0? 0 Let s = -20 + 15. Let u = 1/81 - 173/891. Which is the third biggest value? (a) s (b) 17 (c) -0.1 (d) u d Let i = 2270/9 - 252. Let m = -7265 + 7264.96. Which is the biggest value? (a) 1/3 (b) m (c) i (d) -3 a Let i = 0.14 + -5.14. Let n = -4.67 - -0.17. Let v = n - i. Which is the second smallest value? (a) v (b) -3 (c) 1 a Let x = -82.56 + 82.7. What is the biggest value in x, -1, 3? 3 Let y be (-11)/55*(3 - 5). What is the second biggest value in y, 2/57, -1/6? 2/57 Let z = -10/9 + 14/9. What is the biggest value in 1/2, 0.2, 4, z? 4 Let h be ((-12)/10)/(-4 - (-59)/15). What is the biggest value in h, -0.1, -2, 1/4? h Let n(w) = -2*w**3 + 2*w**2 - 2*w + 1. Suppose -5*t = 4 - 9. Let y be n(t). Let l be (58/14 - 4)*y. Which is the smallest value? (a) 0.04 (b) l (c) -1/6 c Let b = 810/7 - 116. Let m = 0.6 - -0.18. Let t = 0.77 - m. What is the second smallest value in t, b, -0.3? b Let p = -3.62 - -2.12. What is the smallest value in p, -2/7, 3? p Suppose -4 = -308*x + 309*x. What is the third biggest value in -22, -2/3, x? -22 Let u = -181 + 1085/6. What is the second smallest value in u, 1/2, -16, 3/4? u Let l be (9 + 368/(-40))*1. Let n = -0.2 + 0.2. Let y = n - -0.1. Which is the third smallest value? (a) l (b) y (c) 0.3 c Let m = -0.7 + 0.4. Let u = 10 - 8. Let d be 26/(-42) + u/7. What is the smallest value in 2, d, m? d Let c be 2/(-6) - 3/18. Let w = -37327/22644 - -6/629. Let z = -25/12 - w. What is the third smallest value in 0.5, c, z? 0.5 Let k = -1.45 + -0.05. Let j = k - -0.8. Let d = j + 2.7. Which is the third biggest value? (a) d (b) 1/4 (c) 0 c Let g = 0.162 - -0.338. Which is the second smallest value? (a) -0.5 (b) 74 (c) g c Let s = -63 + 41.5. Let m = s - -21. Let l = -13 - -8. What is the second biggest value in -1, m, l? -1 Let t = 0.0745 + -0.3745. Which is the third biggest value? (a) 1/8 (b) 4 (c) t (d) 6 a Let w = 70 - 75. Let t = -0.19 - -0.09. What is the third biggest value in -3, w, t? w Let l = -10929 - -10934. Let c(a) = -a - 4. Let m be c(-2). What is the fourth smallest value in l, m, -1/2, 4? l Let l = -2 - 0. Let a = 0.33 + -0.41. Let y = 0.01 - a. What is the biggest value in y, l, -5? y Let h = 0.6 - 0.73. Let x = 0.03 + h. Let d = x - -0.1. Which is the second biggest value? (a) 3 (b) 1 (c) d b Let i = -90 - -632/7. Let b be (72/27)/((-2)/3). What is the second biggest value in i, -0.3, b? -0.3 Let o = -16316.5 - -16317. Let r = -4 - -6. Which is the third biggest value? (a) 0.8 (b) r (c) o c Let q = -65.1 + 72.1. Which is the third biggest value? (a) q (b) 19 (c) 1 c Let d = -11 + 15. Suppose -4 = -2*r - 12. Let l be (r/8 + 0)*1. Which is the second smallest value? (a) d (b) l (c) 0.5 c Let v(h) = h**2 - 10*h + 13. Let z be v(8). Let t be -2 - -1 - (-2 + z). Let y = 1073/95 - 57/5. Which is the biggest value? (a) 1/8 (b) t (c) y b Let g be 5/35 + 1/((-70)/(-25)). Which is the smallest value? (a) g (b) 1
{ "pile_set_name": "DM Mathematics" }
easing order. 0.2, 0.3, 0.4, 4/5, 7 Put -3, -2, 25, -5 in decreasing order. 25, -2, -3, -5 Sort -1, 1/5, -8/5, 2/5 in descending order. 2/5, 1/5, -1, -8/5 Put -1/4, 4, 0.3, -5 in increasing order. -5, -1/4, 0.3, 4 Sort 3, 1, 11, 0, -1 in descending order. 11, 3, 1, 0, -1 Sort -3, 4/9, -4, 3 in decreasing order. 3, 4/9, -3, -4 Put 189, 4/3, -0.1 in descending order. 189, 4/3, -0.1 Sort 9, -3, -2, -5 in descending order. 9, -2, -3, -5 Put -0.2, 0.1, 27, 0.4, -3 in descending order. 27, 0.4, 0.1, -0.2, -3 Put -2, 5, -3, -1 in increasing order. -3, -2, -1, 5 Sort 10, 0, -4, -2 in ascending order. -4, -2, 0, 10 Sort 5, 4, 23, -3 in increasing order. -3, 4, 5, 23 Put -8, -5, 2, 3 in decreasing order. 3, 2, -5, -8 Sort 0.3, -23, 2/5, -22. -23, -22, 0.3, 2/5 Put 21.43, 0.2, 0.5, 0.1 in descending order. 21.43, 0.5, 0.2, 0.1 Sort 5/4, 1/6, -11, 3/4. -11, 1/6, 3/4, 5/4 Sort -1, -0.2, 5, 5/11, -2 in increasing order. -2, -1, -0.2, 5/11, 5 Put -0.05, 0.03, 0.6 in ascending order. -0.05, 0.03, 0.6 Sort 1, -6, 5, -3 in increasing order. -6, -3, 1, 5 Sort 29, -1, -4 in ascending order. -4, -1, 29 Sort 4/7, -26, 0, -5 in descending order. 4/7, 0, -5, -26 Sort -60, -0.2, 4 in descending order. 4, -0.2, -60 Put 8, -1/920, 2/13, 2/3 in ascending order. -1/920, 2/13, 2/3, 8 Sort 29, -1, -7, -5. -7, -5, -1, 29 Put 0, 10, -3, 3/5 in descending order. 10, 3/5, 0, -3 Sort -5, -37, 4, -6 in ascending order. -37, -6, -5, 4 Sort 14, 3, 7 in increasing order. 3, 7, 14 Sort 1/3, 0.0248, 0. 0, 0.0248, 1/3 Put 99, -3, 0.4 in descending order. 99, 0.4, -3 Put -3, 74, -5, -81, 5 in increasing order. -81, -5, -3, 5, 74 Sort -3, 3, 5, 0 in decreasing order. 5, 3, 0, -3 Put -3, -5/4, 3, 0.22 in increasing order. -3, -5/4, 0.22, 3 Sort -2/7, 3, 11, -2/17, 1/5 in ascending order. -2/7, -2/17, 1/5, 3, 11 Put 1, -48, -5, 5, 3 in decreasing order. 5, 3, 1, -5, -48 Put 1, -3, 4, -287 in ascending order. -287, -3, 1, 4 Sort -5, 0.1, 1/8 in ascending order. -5, 0.1, 1/8 Sort -3, -4, -2, 102 in ascending order. -4, -3, -2, 102 Sort 0.045, 5, -6/11, 1/3. -6/11, 0.045, 1/3, 5 Sort 1, -1, 44, -3. -3, -1, 1, 44 Put 43, 0, 4, -46 in ascending order. -46, 0, 4, 43 Put -1, 2, -12 in ascending order. -12, -1, 2 Sort -5, 487, -4 in decreasing order. 487, -4, -5 Put -4, -99, 4 in decreasing order. 4, -4, -99 Sort 77, -3, 2, -0.1 in ascending order. -3, -0.1, 2, 77 Sort 0, -88, -56. -88, -56, 0 Put 4, 5, -3/10, 1/3, -2 in decreasing order. 5, 4, 1/3, -3/10, -2 Sort -2/7, 81, -5, 0.2 in increasing order. -5, -2/7, 0.2, 81 Sort -3, 0, 116. -3, 0, 116 Sort 0, -4, 4/7 in decreasing order. 4/7, 0, -4 Put 3/2, -1, -3, 9, -0.1 in increasing order. -3, -1, -0.1, 3/2, 9 Sort 2/3, -4159/2, -2. -4159/2, -2, 2/3 Sort 1, -13, -1388 in increasing order. -1388, -13, 1 Sort -7, -3, 1, 4. -7, -3, 1, 4 Put 1/104, 0.5, 22 in decreasing order. 22, 0.5, 1/104 Put -1, 7, 15, -3 in decreasing order. 15, 7, -1, -3 Put 0.1, 5, 3, -34, -46 in descending order. 5, 3, 0.1, -34, -46 Sort -4, 11, 35, 2 in ascending order. -4, 2, 11, 35 Sort 3, -18, -5 in decreasing order. 3, -5, -18 Put -56/3, 0.3, 3, 4 in increasing order. -56/3, 0.3, 3, 4 Put -55, 4, -1 in ascending order. -55, -1, 4 Put 0, -3, -20 in descending order. 0, -3, -20 Sort -14480, -2, 5 in decreasing order. 5, -2, -14480 Sort -6, -1, 3, 2, -4. -6, -4, -1, 2, 3 Put 7, -5, 9 in increasing order. -5, 7, 9 Sort -3/4, 1/4, 0.493 in increasing order. -3/4, 1/4, 0.493 Put -3, -8, -820 in decreasing order. -3, -8, -820 Put -63, 18, 1 in descending order. 18, 1, -63 Put 8, -13, -3 in decreasing order. 8, -3, -13 Sort -3, 43, 3, 0. -3, 0, 3, 43 Put 2, 12, -5, 9, -1 in decreasing order. 12, 9, 2, -1, -5 Put -12, 4, 81, 5 in decreasing order. 81, 5, 4, -12 Sort -0.11, -4/11, 5, -3, 13 in descending order. 13, 5, -0.11, -4/11, -3 Put 1, 0.1, -11/12 in descending order. 1, 0.1, -11/12 Sort -3, -308, 0. -308, -3, 0 Put 4, 2, -5, 15 in descending order. 15, 4, 2, -5 Sort 10, -1/3, -5, -15/7 in ascending order. -5, -15/7, -1/3, 10 Put -1/4, -1/6, 3, 1.4 in descending order. 3, 1.4, -1/6, -1/4 Put 1, 2, 4, -5 in decreasing order. 4, 2, 1, -5 Sort 2/15, 0.1, 0, 146, 0.07. 0, 0.07, 0.1, 2/15, 146 Sort -3, 10/11, -10 in decreasing order. 10/11, -3, -10 Put 281, -2, 1/2, 3/8 in ascending order. -2, 3/8, 1/2, 281 Sort -4, -2/5, 10, -0.02. -4, -2/5, -0.02, 10 Put -1, 4, -3, -55 in decreasing order. 4, -1, -3, -55 Put 663, 5, -4, 4, 3 in descending order. 663, 5, 4, 3, -4 Sort 0.019, -2, 0.1 in ascending order. -2, 0.019, 0.1 Sort -2, 454, 5. -2, 5, 454 Sort 5, 4, -2/21, 0. -2/21, 0, 4, 5 Put -4, -11, 3, -5 in descending order. 3, -4, -5, -11 Sort 0, 2, 13 in increasing order. 0, 2, 13 Sort 1/5, 23.2, 9, -2/7, -0.4. -0.4, -2/7, 1/5, 9, 23.2 Sort -13, -26, -16, -3 in ascending order. -26, -16, -13, -3 Sort 1, -2, 0, 37 in decreasing order. 37, 1, 0, -2 Put -251, 0.2, 5, -2, 1 in increasing order. -251, -2, 0.2, 1, 5 Put 0.08, 2/19, 0.1, 0 in decreasing order. 2/19, 0.1, 0.08, 0 Put 1, -1, 2, -32, -3 in increasing order. -32, -3, -1, 1, 2 Sort 3, 14, 4/191, 2/5. 4/191, 2/5, 3, 14 Put -1, 0.5, -18/5, 5 in descending order. 5, 0.5, -1, -18/5 Put -2, 0, -5, -104 in decreasing order. 0, -2, -5, -104 Put -19, -2, 4, 2 in decreasing order. 4, 2, -2, -19 Sort -2/943, 0.3, 0.5. -2/943, 0.3, 0.5 Put -14, -1, -4, -20 in descending order. -1, -4, -14, -20 Put 5, 4, 2, 58, -5 in ascending order. -5, 2, 4, 5, 58 Put -9/4, 4, 5, -1, -1/2 in ascending order. -9/4, -1, -1/2, 4, 5 Sort 0, 7, -18. -18, 0, 7 Put 1, -6, -2, 1/10 in decreasing order. 1, 1/10, -2, -6 Sort -4, -2, 1, 0.1, -0.38 in decreasing order. 1, 0.1, -0.38, -2, -4 Sort 3, 14, 5, -5. -5, 3, 5, 14 Put 1, -4, 117, 8 in ascending order. -4, 1, 8, 117 Sort 22, 3, -4, 4, -6. -6, -4, 3, 4, 22 Put -2, -1, 5, 25 in descending order. 25, 5, -1, -2 Put 0, 4, -3 in decreasing order. 4, 0, -3 Sort 4, 53, 3, -0.5. -0.5, 3, 4, 53 Sort -1, -216, -2, 5, 0 in descending order. 5, 0, -1, -2, -216 Put -5, 0, 400 in ascending order. -5, 0, 400 Put -4, 4, -7, -3, 3 in descending order. 4, 3, -3, -4, -7 Sort 1/7, 8/3, -0.05, 6. -0.05, 1/7, 8/3, 6 Put 102, -2, -8 in ascending order. -8, -2, 102 Sort 6, 4, 1, 2, 33. 1, 2, 4, 6, 33 Put -7/30, 20, 3/7, 2 in descending order. 20, 2, 3/7, -7/30 Sort 27, 6, 5 in descending order. 27, 6, 5 Sort -0.2, 26, -2/17 in ascending order. -0.2, -2/17, 26 Put 23, -2, 3, 4 in increasing order. -2, 3, 4, 23 Sort -1/5, 3, -3, -5 in decreasing order. 3, -1/5, -3, -5 Put -2, 2, 91 in ascending order. -2, 2, 91 Sort 5, -1, -10 in increasing order. -10, -1, 5 Sort 0.53, 9, 0.1, 0, -3. -3, 0, 0.1, 0.53, 9 Put -5, 0, 3, -2/3 in ascending order. -5, -2/3, 0, 3 Sort -2, 17, 2, -12, 18 in descending order. 18, 17, 2, -2, -12 Sort -2, 6, 4, 3, 0 in ascending order. -2, 0, 3, 4, 6 Sort 23, 3, 9 in decreasing order. 23, 9, 3 Put 3/2, -0.41, 4, 2 in decreasing order. 4, 2, 3/2, -0.41 Put 5, -11, -3, 1 in descending order. 5, 1, -3, -11 Sort 2/9, -7/8, 1/3, -1/4, 2/7 in decreasing order. 1/3, 2/7, 2/9, -1/4, -7/8 Put -14, 5, 14, -4 in increasing order. -14, -4, 5, 14 Put 36, 1, -4, 0, 2 in descending order. 36, 2, 1, 0, -4 Sort 1, -23, 5, 4 in decreasing order. 5, 4, 1, -23 Sort -4, -5, -40, 5 in ascending order. -40, -5, -4, 5 Put -0.1, 2, -1/3 in increasing order. -1/3, -0.1, 2 Put 2/37, 5/3, -25, -2/7, 7 in ascending order. -25, -2/7, 2/37, 5/3, 7 Put 24, -24, 0 in descending order. 24, 0, -24 Sort 3/4, -7, 3/23 in descending order. 3/4, 3/23, -7 Sort -4, 0.4, -2/7, 2 in decreasing order. 2, 0.4, -2/7, -4 Sort -4, 2/21, -29, -0.1 in descending order. 2/21, -0.1, -4, -29 Sort 2, 8, -2, 3, -8 in increasing order. -8, -2, 2, 3, 8 Put 167, -5, 1 in descending order. 167, 1, -5 Sort 1, -31, 2, -5 in ascending order. -31, -5, 1, 2 Sort 20, 3/2, 3, 8 in ascending order. 3/2, 3, 8, 20 Put -2/7, 1, 102 in decreasing order. 102, 1, -2/7 Sort 5, 327, 4, 0, 2. 0, 2, 4, 5, 327 Sort -1, -106, 30 in ascending order. -106, -1, 30 Sort 2, 1, -5, 4, -2 in decreasing order. 4, 2, 1, -2, -5 Put 1, 906, -3 in ascending order. -3, 1, 906 Sort 2, -107, 7, -5 in descending order. 7, 2, -5, -107 Sort -1, -82, -4, 2. -82, -4, -1, 2 Put 2, -0.2, -1/3, -2/141, -2 in ascending order. -2, -1/3, -0.2, -2/141, 2 Put 6, -22, -2, -5, -7 in decreasing order. 6, -2, -5, -7,
{ "pile_set_name": "DM Mathematics" }
3? 130 What is -4 (base 15) in base 11? -4 What is -74 (base 16) in base 12? -98 What is -11111 (base 2) in base 9? -34 Convert 2a (base 13) to base 7. 51 Convert 13 (base 6) to base 15. 9 What is -6 (base 12) in base 10? -6 Convert -1a0 (base 11) to base 14. -127 Convert -143 (base 7) to base 8. -120 What is 22 (base 9) in base 4? 110 Convert -9 (base 13) to base 2. -1001 What is 0 (base 14) in base 7? 0 What is c (base 13) in base 4? 30 What is -8 (base 10) in base 14? -8 Convert -1 (base 3) to base 14. -1 -14 (base 12) to base 7 -22 221 (base 3) to base 6 41 -1c (base 15) to base 10 -27 -6 (base 14) to base 12 -6 Convert -425 (base 9) to base 2. -101011011 Convert -243 (base 8) to base 16. -a3 1 (base 16) to base 8 1 Convert -42 (base 11) to base 6. -114 What is 2 (base 4) in base 15? 2 7 (base 12) to base 7 10 Convert 21 (base 15) to base 6. 51 14 (base 10) to base 9 15 Convert 22 (base 3) to base 10. 8 What is 112 (base 9) in base 14? 68 What is -1 (base 7) in base 11? -1 What is -2 (base 10) in base 16? -2 What is -12002 (base 3) in base 12? -b5 What is -2 (base 8) in base 16? -2 Convert 6 (base 11) to base 15. 6 What is -3 (base 12) in base 5? -3 5 (base 8) to base 16 5 Convert -14 (base 7) to base 13. -b Convert -1011 (base 2) to base 5. -21 Convert 5 (base 10) to base 16. 5 Convert -5 (base 15) to base 3. -12 Convert 1032 (base 6) to base 11. 1a5 Convert 45 (base 13) to base 6. 133 25 (base 13) to base 3 1011 3 (base 12) to base 16 3 What is -2 (base 5) in base 15? -2 What is 3 (base 13) in base 14? 3 What is 11 (base 6) in base 9? 7 -8 (base 15) to base 4 -20 -1420 (base 5) to base 10 -235 212 (base 7) to base 12 8b What is -40 (base 9) in base 10? -36 What is 3 (base 6) in base 7? 3 2 (base 4) to base 11 2 What is 2c (base 14) in base 7? 55 Convert 1011 (base 2) to base 4. 23 Convert 101000 (base 2) to base 10. 40 What is -23 (base 8) in base 12? -17 16 (base 8) to base 12 12 What is -76 (base 9) in base 8? -105 What is -15 (base 10) in base 11? -14 What is 0 (base 2) in base 9? 0 What is 1 (base 2) in base 11? 1 Convert 2c (base 16) to base 6. 112 Convert 206 (base 10) to base 15. db 6 (base 9) to base 2 110 Convert b7 (base 13) to base 7. 303 -3 (base 7) to base 15 -3 2 (base 15) to base 13 2 83 (base 9) to base 8 113 Convert -4 (base 13) to base 5. -4 What is -11 (base 12) in base 7? -16 What is -376 (base 8) in base 9? -312 What is 22 (base 10) in base 4? 112 Convert -1a (base 15) to base 12. -21 Convert 0 (base 8) to base 13. 0 What is 144 (base 6) in base 7? 121 Convert 36 (base 8) to base 3. 1010 -110 (base 6) to base 14 -30 What is 15 (base 7) in base 9? 13 Convert -22 (base 12) to base 6. -42 Convert 45 (base 9) to base 8. 51 Convert -13 (base 9) to base 8. -14 What is -3 (base 16) in base 2? -11 Convert 1 (base 6) to base 16. 1 -118 (base 12) to base 13 -c8 What is 354 (base 6) in base 14? a2 Convert -77 (base 8) to base 11. -58 -1 (base 15) to base 14 -1 3a (base 12) to base 7 64 What is 28 (base 9) in base 13? 20 What is -5 (base 16) in base 7? -5 What is 64 (base 9) in base 16? 3a Convert -2 (base 6) to base 11. -2 Convert -40 (base 6) to base 2. -11000 What is -48 (base 12) in base 14? -40 Convert -13 (base 14) to base 4. -101 2a (base 16) to base 8 52 Convert 0 (base 2) to base 12. 0 -10 (base 3) to base 7 -3 3 (base 11) to base 4 3 Convert 212 (base 5) to base 3. 2010 23c (base 13) to base 12 285 Convert 210 (base 3) to base 9. 23 -110 (base 3) to base 15 -c What is -221 (base 3) in base 14? -1b 2022 (base 4) to base 2 10001010 What is -2 (base 5) in base 12? -2 40 (base 8) to base 12 28 What is 10 (base 9) in base 6? 13 -213 (base 4) to base 16 -27 Convert -2 (base 6) to base 8. -2 What is -1 (base 8) in base 11? -1 What is -33 (base 4) in base 6? -23 Convert 17 (base 12) to base 16. 13 -5 (base 10) to base 2 -101 -5 (base 11) to base 4 -11 Convert -a (base 16) to base 8. -12 What is -11 (base 10) in base 3? -102 What is -7 (base 12) in base 14? -7 Convert 1011 (base 2) to base 4. 23 What is -250 (base 12) in base 9? -426 Convert -11 (base 6) to base 13. -7 What is 0 (base 6) in base 11? 0 Convert 0 (base 11) to base 15. 0 What is -2 (base 12) in base 4? -2 Convert 1 (base 12) to base 4. 1 Convert 22 (base 8) to base 9. 20 0 (base 5) to base 12 0 25 (base 6) to base 11 16 Convert -26 (base 11) to base 5. -103 Convert 11 (base 3) to base 14. 4 What is 1211 (base 3) in base 13? 3a What is f8 (base 16) in base 4? 3320 Convert 69 (base 12) to base 9. 100 What is -40 (base 8) in base 12? -28 21221 (base 3) to base 7 424 What is 9 (base 16) in base 15? 9 Convert -5 (base 8) to base 12. -5 What is -222 (base 3) in base 11? -24 Convert 183 (base 12) to base 8. 363 1 (base 13) to base 9 1 Convert -5 (base 7) to base 4. -11 11 (base 6) to base 3 21 What is 10010 (base 2) in base 15? 13 Convert 1 (base 5) to base 15. 1 224 (base 9) to base 12 134 Convert 55 (base 14) to base 4. 1023 What is -1311 (base 4) in base 16? -75 Convert 2 (base 12) to base 7. 2 Convert 15 (base 7) to base 12. 10 What is -32 (base 13) in base 8? -51 101 (base 2) to base 15 5 Convert 3 (base 14) to base 11. 3 What is -105 (base 7) in base 2? -110110 What is -12 (base 7) in base 16? -9 What is 16 (base 7) in base 13? 10 What is -a (base 16) in base 13? -a What is -10 (base 6) in base 7? -6 Convert -2 (base 11) to base 4. -2 22 (base 12) to base 6 42 -101101 (base 2) to base 3 -1200 Convert -1 (base 16) to base 13. -1 -1025 (base 6) to base 15 -108 -2 (base 16) to base 4 -2 Convert 11 (base 10) to base 3. 102 What is 0 (base 11) in base 10? 0 Convert -13 (base 13) to base 3. -121 Convert 1000101 (base 2) to base 16. 45 -10 (base 16) to base 4 -100 42 (base 11) to base 12 3a -138 (base 13) to base 11 -187 -11 (base 8) to base 4 -21 Convert 2 (base 7) to base 3. 2 Convert -13 (base 14) to base 3. -122 e (base 15) to base 16 e Convert 221 (base 7) to base 8. 161 2 (base 9) to base 11 2 2 (base 3) to base 9 2 What is 101 (base 4) in base 14? 13 104 (base 7) to base 5 203 40 (base 13) to base 6 124 What is -146 (base 9) in base 15? -83 What is -2 (base 14) in base 7? -2 What is -4 (base 10) in base 16? -4 Convert 108 (base 9) to base 14. 65 What is -9 (base 16) in base 12? -9 Convert -26 (base 10) to base 6. -42 What is a (base 16) in base 9? 11 What is -1 (base 11) in base 2? -1 Convert 182 (base 13) to base 14. 159 6 (base 15) to base 11 6 What is 222 (base 3) in base 4? 122 42 (base 7) to base 4 132 Convert -3 (base 5) to base 11. -3 What is -110 (base 5) in base 6? -50 Convert -23 (base 8) to base 16. -13 Convert 4b (base 15) to base 10. 71 -2 (base 4) to base 2 -10 What is 166 (base 11) in base 12? 141 100 (base 3) to base 13 9 320 (base 4) to base 14 40 Convert 4 (base 12) to base 13. 4 -6 (base 14) to base 5 -11 10102 (base 3) to base 11 84 Convert -1a (base 11) to base 6. -33 What is -2000 (base 4) in base 14? -92 -2 (base 6) to base 15 -2 What is 2 (base 14) in base 12? 2 What is -101 (base 2) in base 9? -5 Convert -26 (base 13) to base 9. -35 What is 0 (base 3) in base 7? 0 What is -3 (base 13) in base 7? -3 9 (base 15) to base 6 13 10 (base 13) to base 15 d 0 (base 14) to base 4 0 What is -12 (base 6) in base 11? -8 What is 11 (base 7) in base 10? 8 0 (base 10) to base 13 0 0 (base 11) to base 13 0 Convert 1000 (base 2) to base 13. 8 What is 131 (base 4) in base 7? 41 Convert 1 (base 8) to base 6. 1 7 (base 13) to base 7 10 Convert -51 (base 11) to base 13. -44 Convert -102 (base 3) to base 12. -b 35 (base 14) to base 6 115 What is 3 (base 14) in base 2? 11 Convert -a (base 15) to base 8. -12 -1 (base 13) to base 6 -1 What is -5 (base 9) in base 5? -10 What is 2 (base 3) in base 5? 2 What is -26a (base 12) in base 14? -1c6 Convert 42 (base 5) to base 2. 10110 What is -2333 (base 4) in base 2? -10111111 -10211 (base 3) to base 12 -87 77 (base 9) to base 16 46 Convert -7 (base 14) to base 7. -10 What is 11111111 (base 2) in base 5? 2010 0 (base 11) to base 3 0 Convert -6 (base 9) to base 12. -6 214 (base 7) to base 5 414 What is 181 (base 9) in base 6? 414 What is -110 (base 2) in base 10? -6 What is 0 (base 6) in base 7? 0 What is -111 (base 2) in base 6? -11 -2 (base 4) to base 15 -2 What is -11 (base 6) in base 16? -7 Convert 10 (base 3) to ba
{ "pile_set_name": "DM Mathematics" }
second derivative of -83*v**4 - 2*v**3 - 7*v**2 - 21*v + 170 wrt v. -996*v**2 - 12*v - 14 Find the third derivative of 24694*p**3*y - 13*p**2*y - 72*p*y wrt p. 148164*y Find the second derivative of 71*p**3*x**2 - 71*p**3 + 1643*p*x**2 - p*x + 2*p wrt p. 426*p*x**2 - 426*p Differentiate -15*j**2 + 58*j + 7729 wrt j. -30*j + 58 What is the second derivative of -2*k*l**3 + 6*k*l**2*o + 2*k*l**2 + k*l*o**2 - k*o**2 - 131*l**3*o**2 + o wrt o? 2*k*l - 2*k - 262*l**3 Find the third derivative of -1107*j**3*u**2 + j**2*u + 165*j*u - 8*u**2 wrt j. -6642*u**2 What is the derivative of 79*o**3 + o - 205 wrt o? 237*o**2 + 1 Differentiate 3*d*f**2 + d*f*w + 15*d*w + d - f**2*w + 2*f**2 with respect to w. d*f + 15*d - f**2 What is the second derivative of -37*y**2 - 32*y wrt y? -74 What is the third derivative of k**5*q + 205*k**3 - 2*k**2*q + 63*q wrt k? 60*k**2*q + 1230 Find the third derivative of -o**5 - 68*o**4 - 2*o**2 + 918*o. -60*o**2 - 1632*o Find the third derivative of -101*w**6 - w**2 - 3419 wrt w. -12120*w**3 Find the third derivative of 1397*i**6 - 656*i**2. 167640*i**3 Find the third derivative of -3*c**4*z**3 - c**4*z + 531*c**3 + 2*c**2*z**3 + 192*c**2 wrt c. -72*c*z**3 - 24*c*z + 3186 Find the second derivative of -3*n*s**2*y - 61*n*s*y + 3*n*y - 2*s**3*y**2 - 606*s**3 - s*y**2 + 2*s - 6 wrt s. -6*n*y - 12*s*y**2 - 3636*s Find the second derivative of -o**2*t**2 - o**2*t - 98*o*t**2 - 3*t wrt t. -2*o**2 - 196*o Find the third derivative of 4*i*u**4 + 31*i*u**3 - 1145*i*u**2 + i - 25*u**4 + 2*u**2 wrt u. 96*i*u + 186*i - 600*u What is the third derivative of 2009*p**5 - 239*p**2 wrt p? 120540*p**2 Find the second derivative of -48*q**3 + 2*q + 14 wrt q. -288*q Find the second derivative of 11*c**5 - 13*c**4 + 233*c. 220*c**3 - 156*c**2 What is the third derivative of 1322*b**5*q - b**2*q + 55*b**2 wrt b? 79320*b**2*q What is the third derivative of 22*u**4 + 3*u**3 + 71*u**2 - 4*u? 528*u + 18 What is the second derivative of 61*u**3 + 2*u**2 - 1844*u wrt u? 366*u + 4 Find the third derivative of k**4*w + 92*k**3 + 2*k**2*w + 14*w wrt k. 24*k*w + 552 What is the second derivative of 2*n*r**2*s**2 - 114*n*r**2 + 9*n*r*s**2 - 2*n*r - r**2*s - 3*r*s**2 wrt r? 4*n*s**2 - 228*n - 2*s What is the second derivative of 2*b**3*h**2 - 2*b**3*h - 6*b**3 + 6*b**2*k + 232*b*h**2*k wrt h? 4*b**3 + 464*b*k What is the third derivative of 26*m**4 + 74*m**2 - 2*m? 624*m Find the third derivative of 47*i**6 - 2*i**5 - 27*i**2 - 5*i. 5640*i**3 - 120*i**2 Find the second derivative of 3*f**2*g**2*w + 14*f**2*g**2 - f**2*w + 14*f*g**2*w - 3*f*g*w - 9*g**2 wrt f. 6*g**2*w + 28*g**2 - 2*w What is the derivative of 3*z**3 - 26*z + 294? 9*z**2 - 26 What is the third derivative of -9112*v**3 + 3*v**2 - 151*v - 14? -54672 What is the derivative of -125*t**2 + 405 wrt t? -250*t Differentiate -2*h**3*j**3 + 44*h**3*j - 2*h - 1755*j**3 wrt h. -6*h**2*j**3 + 132*h**2*j - 2 Find the first derivative of -3*i**2 - 3*i*t - 34*i - 2563*t wrt i. -6*i - 3*t - 34 Differentiate 2*g**3*y**2 + 28*g**3*y - 213*g**3 + 2*g**2 - 2*y**3 with respect to y. 4*g**3*y + 28*g**3 - 6*y**2 Find the third derivative of -27702*i**3 - 12601*i**2. -166212 Differentiate -7551*f*y - 11*y - 397 with respect to f. -7551*y Find the third derivative of 6928*w**3 - 16924*w**2 wrt w. 41568 Find the third derivative of -72*m**2*x**3 - 85*m**2*x**2 - m*x**3 - 2*x**4 + 6*x**2 - 1 wrt x. -432*m**2 - 6*m - 48*x Find the third derivative of -132*f**2*n**3*t + f**2*t**2 + 28*f*n**3*t**2 - 15*f*n**2*t - 41*n**2 wrt n. -792*f**2*t + 168*f*t**2 Find the second derivative of -394*h**2*u**2 - 42*h**2 - 6*h*u + 2*u**2 - 1 wrt u. -788*h**2 + 4 Find the second derivative of -n**5 - 5731*n**2 - 19647*n. -20*n**3 - 11462 What is the second derivative of -6*p**4 + 42*p**3 - p**2 - 869*p - 1 wrt p? -72*p**2 + 252*p - 2 Find the second derivative of 554*y**4 - 827*y wrt y. 6648*y**2 What is the derivative of -73*a*g - 8134*a - 10*g**3 + 3*g**2 wrt g? -73*a - 30*g**2 + 6*g What is the derivative of -5434*w + 5912? -5434 What is the derivative of 2*q*s**2 + 214*q*s + 5*q + 10*s**2 + 160 wrt q? 2*s**2 + 214*s + 5 What is the second derivative of 15*s**4 + 4*s**2 + 2*s + 1 wrt s? 180*s**2 + 8 Find the first derivative of 20*k**2 - 4*k - 164. 40*k - 4 What is the derivative of -43*r**2 + r + 182 wrt r? -86*r + 1 What is the third derivative of 3219*u**3*x**3 - 105*u**3*x**2 - 3*u**3*x + 2*u*x**3 + 3*x**3 wrt x? 19314*u**3 + 12*u + 18 What is the second derivative of -49*q**2*t**3 - 4*q**2 - 3*q - 6*t**3 - 12*t wrt q? -98*t**3 - 8 What is the second derivative of -2*a**5 + a**4 + 544*a**2 - a - 1101 wrt a? -40*a**3 + 12*a**2 + 1088 What is the third derivative of 2098*w**5 + 3*w**2 - w? 125880*w**2 What is the third derivative of 2*m**5 + 5*m**4 + 160*m**2? 120*m**2 + 120*m What is the second derivative of j**2*x**3 + j**2 + 2*j*x**3 - 176*j*x**2 wrt j? 2*x**3 + 2 What is the second derivative of -3*k**2*p**3 + 5*k**2*p + 4*k**2*y + 3*k*p*y - 1184*p**3*y + 5*p*y wrt p? -18*k**2*p - 7104*p*y Differentiate -22*p**2 - 29*p + 1829 wrt p. -44*p - 29 What is the third derivative of 545*v**6 + 113*v**2 - 4*v wrt v? 65400*v**3 What is the second derivative of -682*l**5 + 310*l - 3 wrt l? -13640*l**3 What is the third derivative of -279*x**3 - 300*x**2 wrt x? -1674 Find the first derivative of -11*l*t + 48*l - 1032*t wrt l. -11*t + 48 Differentiate -963*d - 66 with respect to d. -963 Differentiate -401*w - 584. -401 What is the first derivative of 64*f**2*x**3 + 124*f**2 - f*x**4 + f wrt x? 192*f**2*x**2 - 4*f*x**3 What is the derivative of -a**2*i - 81*a**2 + 2*a*i**3 + 2785*i**3 wrt a? -2*a*i - 162*a + 2*i**3 Find the second derivative of 1908*m**4 - 220*m - 3. 22896*m**2 Find the third derivative of c**3*r - 70*c**3 - 48*c**2 + 2*c + 2*r wrt c. 6*r - 420 Find the third derivative of 80*l**6 + 3*l**4 + 12*l**3 - 12*l**2 + 89 wrt l. 9600*l**3 + 72*l + 72 Find the first derivative of 536*d**4 + 15*d - 5707 wrt d. 2144*d**3 + 15 Find the second derivative of f**5*o**2 + 6*f**2*o**3 + f**2 - f - 81*o**3 wrt f. 20*f**3*o**2 + 12*o**3 + 2 What is the third derivative of -357*g**4*m**2 - 21*g**2*m**2 - 4*g**2 - g wrt g? -8568*g*m**2 What is the derivative of 2*u**3 + 9*u**2 - 180*u + 8727 wrt u? 6*u**2 + 18*u - 180 Differentiate 45*c*r - c*y + 15*c + 2*r*y - y wrt r. 45*c + 2*y What is the first derivative of 424*c**2 - 36 wrt c? 848*c Find the third derivative of -273*y**5 + 353*y**2 wrt y. -16380*y**2 Find the second derivative of 4*g*w**3 + 21*g*w**2 + 4*g*w + 22*g + 2*w wrt w. 24*g*w + 42*g What is the third derivative of 1260*h**4 - 2*h**3 - 1179*h**2? 30240*h - 12 What is the second derivative of 2*a**5*n - 192*a**4*q - a**2*n - 3*a*n*q - 3*a*q - 23*q wrt a? 40*a**3*n - 2304*a**2*q - 2*n Find the second derivative of -24191*u**2 + 7*u - 116. -48382 Find the third derivative of 1374*a**4 + a**3 - 6*a**2 - 35*a + 9 wrt a. 32976*a + 6 Differentiate 23*o**4*t - 2*o**2 + 513*t wrt o. 92*o**3*t - 4*o What is the first derivative of -8*a**3 + 41*a - 1430? -24*a**2 + 41 What is the derivative of -f**4*y**3 + 33*f**2*y**3 + 91*y**3 wrt f? -4*f**3*y**3 + 66*f*y**3 Differentiate -2425*d + 1500. -2425 Find the third derivative of -10*a**4*n**2 - 49*a**4*n + 3*a**2*n**2 + 285 wrt a. -240*a*n**2 - 1176*a*n Find the third derivative of -9*a**3*b**3*x**2 + 2*a**3*b**2*x**2 + a**2*b**2*x**2 + 4*a*x**2 - 2*a + 8*b**3*x**2 wrt b. -54*a**3*x**2 + 48*x**2 Find the third derivative of -2*s**4*t + 4*s**3*t**3 + 397*s**3*t + 44*s**2*t + 2*s**2 + 2*s*t**3 + t**2 wrt s. -48*s*t + 24*t**3 + 2382*t Find the second derivative of -v**4 - 5*v**3*x - 74*v**2*x**2 + 17*v*x**2 + 7*v + x**2 wrt v. -12*v**2 - 30*v*x - 148*x**2 What is the second derivative of 92*d**5 - 25*d wrt d? 1840*d**3 Find the second derivative of -266*a*h**2*t**2 + a*h*t**2 - 10*a*h + 3*h wrt h. -532*a*t**2 Find the second derivative of -2*c**5 - 21*c**2*k - 379*c*k + 3*k wrt c. -40*c**3 - 42*k Find the first derivative of 2*p**2*w**2 - 2*p**2 + 52*p*w**2 + 105*w**2 wrt p. 4*p*w**2 - 4*p + 52*w**2 Find the first derivative of 20*f**3 - f**2*y**2 - 245*y**2 wrt f. 60*f**2 - 2*f*y**2 Find the first derivative of 7717*v**3 - 684 wrt v. 23151*v**2 What is the second derivative of -194*n**5 - 2*n +
{ "pile_set_name": "DM Mathematics" }
*2*(2*s + 1) Let p = 30 - 30. Let a(v) be the second derivative of 1/3*v**3 + v - 1/12*v**4 + p + 0*v**2. Let a(j) = 0. Calculate j. 0, 2 Let j be (-37)/(-20) - (-2)/5. Factor 0 + j*k**4 + 7/4*k**2 + 15/4*k**3 + 1/4*k. k*(k + 1)*(3*k + 1)**2/4 Let a(h) be the third derivative of 2*h**7/525 - h**6/75 - h**5/75 + h**4/15 + 20*h**2. Find n such that a(n) = 0. -1, 0, 1, 2 Let c(m) = 5*m - 100. Let f be c(20). Solve 4/3*k**4 + 4/3*k**3 - 8/3*k**2 + 0*k + f = 0 for k. -2, 0, 1 Let m(a) = -2*a**3 + 3*a - 3. Let g = -3 - 0. Let d(l) = -2*l**3 + 4*l - 4. Let h(t) = g*d(t) + 4*m(t). Factor h(k). -2*k**3 Let k(o) = -o + 6. Let t = -6 - -12. Let g be k(t). Factor 0*q + g - 2/7*q**2. -2*q**2/7 Let r(l) be the third derivative of -l**5/20 + l**4/4 + l**2. Let r(m) = 0. Calculate m. 0, 2 Let h(k) = 4*k**2 + 3*k - 4. Let l(i) = -5*i**2 - 4*i + 5. Let f(x) = -4*h(x) - 3*l(x). Factor f(a). -(a - 1)*(a + 1) Suppose -6*m = -8*m + 2. Factor -m - 16 - 1 + 30*g + 2*g**3 - 14*g**2. 2*(g - 3)**2*(g - 1) Suppose -m = -2 + 4. Let o be 0 - m - (2 + -4). Factor s**o + 4*s**3 - 4*s + 2*s + 6*s**2 + 6*s + 1. (s + 1)**4 Let u = -20413/9 - -2311. Let z = u - 2630/63. Factor 2*c - 4/7 - 8/7*c**3 - z*c**2. -2*(c + 2)*(2*c - 1)**2/7 Let y(p) be the third derivative of p**8/8 - 19*p**7/210 - p**6/3 + 19*p**5/60 - p**4/12 + 27*p**2. Solve y(m) = 0. -1, 0, 1/6, 2/7, 1 Let a be 12/9*60/40. Factor -9/2*d**a - 3*d**3 + 3/2*d**4 + 6*d + 6. 3*(d - 2)**2*(d + 1)**2/2 Let x(m) be the second derivative of -9*m**5/35 + m**4/7 + m**3/14 - 21*m. Solve x(o) = 0. -1/6, 0, 1/2 Let g(i) be the second derivative of -i**4/24 - i**3/6 - i**2/4 - i. Determine k so that g(k) = 0. -1 Find n, given that 3/2*n**4 + 0 + 0*n + 0*n**3 + 1/2*n**5 + 0*n**2 = 0. -3, 0 Let d(a) be the second derivative of 1/18*a**4 + 0 + 4/3*a**2 - 5*a + 4/9*a**3. Factor d(b). 2*(b + 2)**2/3 Let p(d) be the third derivative of d**8/30240 - d**7/2520 + d**6/540 - d**5/30 - 3*d**2. Let s(f) be the third derivative of p(f). Let s(q) = 0. What is q? 1, 2 Let o(u) be the third derivative of -u**6/80 - u**5/20 + u**4/16 + u**3/2 - 20*u**2. Factor o(h). -3*(h - 1)*(h + 1)*(h + 2)/2 Let h(a) = 2*a**4 + 2*a**2 + 2*a - 2. Let j(x) = -x**2 - 3*x + 1. Let g be j(-3). Let b(q) = q**2 + q - 1. Let z(r) = g*h(r) - 2*b(r). Factor z(p). 2*p**4 Let m be 7*(56/(-294))/((-2)/3). Factor m*u + 4/7*u**2 - 4/7 - 2*u**3. -2*(u - 1)*(u + 1)*(7*u - 2)/7 Suppose 324 = -3*y - 60. Let w = y - -642/5. Suppose -w*i**3 + 0 + 2/5*i + 0*i**2 = 0. Calculate i. -1, 0, 1 Let j(t) be the third derivative of 1/336*t**8 + 3/8*t**4 + 0*t - 4/15*t**5 - 1/3*t**3 - 1/35*t**7 + 7/60*t**6 + 4*t**2 + 0. Factor j(q). (q - 2)*(q - 1)**4 Let n = -310 - -316. What is c in 4*c - n - 2/3*c**2 = 0? 3 Let t = -3 - 2. Let v(b) = -b**2 + b. Let h(c) = -6*c**2 + 9*c - 4. Let q(z) = t*v(z) + h(z). Factor q(x). -(x - 2)**2 Let j(r) be the first derivative of 1/9*r**3 + r**2 - 1/90*r**5 + 0*r + 0*r**4 - 1. Let a(u) be the second derivative of j(u). Let a(k) = 0. Calculate k. -1, 1 Suppose -3*f + 0*t = -t - 3, -f + 9 = -3*t. Let r(o) be the second derivative of f + 1/20*o**5 + 0*o**2 - 1/12*o**4 + o + 0*o**3. Let r(j) = 0. Calculate j. 0, 1 Let l(d) be the second derivative of d**10/37800 + d**9/18900 - d**8/4200 + 2*d**4/3 + 6*d. Let y(z) be the third derivative of l(z). Factor y(u). 4*u**3*(u - 1)*(u + 2)/5 Let j be (231/75 + -3)*1*10. Factor -2/5 + j*c**2 + 0*c - 2/5*c**4 + 0*c**3. -2*(c - 1)**2*(c + 1)**2/5 Let l(q) = -q**3 - q**2 - q + 2. Let k be l(0). Let u(n) be the second derivative of n**3 + 1/6*n**4 - n + 2*n**k + 0. Factor u(m). 2*(m + 1)*(m + 2) Let w(u) = 20*u**4 - 60*u**3 + 28*u**2 - 12*u - 12. Let t(g) = g**3 - g**2 + g + 1. Let b(n) = 12*t(n) + w(n). Factor b(h). 4*h**2*(h - 2)*(5*h - 2) Let q be 4 + -3 + 2/1. Suppose 0 = -q*o + l + 13, 5*o - 3*l - 13 - 14 = 0. Factor v**2 + v**3 - 2*v**o + 2 - 3 + v. -(v - 1)**2*(v + 1) Suppose -5*r = c + 5, -3*r = -6*r + 3*c + 15. Factor 0 - 6/5*b**3 - 2/5*b**2 + r*b - 4/5*b**4. -2*b**2*(b + 1)*(2*b + 1)/5 Let f(m) be the second derivative of -m**7/1260 - m**6/180 - m**5/60 - m**4/36 - m**3/36 + 2*m**2 - 3*m. Let y(i) be the first derivative of f(i). Factor y(u). -(u + 1)**4/6 Suppose 3*v = -2*c + 2*v + 5, -3*c + 5 = 2*v. Suppose -z + 5*u + 0 = -1, 2*u = 5*z - c. What is k in -3*k**4 + 6*k**4 + 11*k**2 + 6*k + z + 10*k**3 + k**2 = 0? -1, -1/3 Factor 6912*i + i**4 - 1910*i**2 + 47*i**3 - 5*i**4 + 97*i**3 + 182*i**2. -4*i*(i - 12)**3 Let 0 - 2/15*j**3 - 2/15*j + 4/15*j**2 = 0. Calculate j. 0, 1 Let q(s) = s**3 - s + 1. Let c(f) = f**4 + 9*f**3 + 6*f**2 - f + 6. Let m(k) = -c(k) + 5*q(k). Find u such that m(u) = 0. -1 Let j(q) = -16*q + 1. Let v be j(-2). Suppose -33 + v - r**3 - r**4 + r + r**2 = 0. Calculate r. -1, 0, 1 Let w(o) = o**3 + 15*o**2 + o + 5. Let k be w(-15). Let p be ((-3)/45)/(3/k). Factor 2/9*a**3 - 2/9*a**2 - 2/9*a + p. 2*(a - 1)**2*(a + 1)/9 Let n(r) be the third derivative of 0*r + 1/120*r**5 + 0*r**4 - 1/12*r**3 + 0 - 2*r**2. Suppose n(c) = 0. What is c? -1, 1 Let v(d) be the first derivative of 3/4*d**4 + 0*d + 6*d**2 - 3 + 4*d**3. Factor v(k). 3*k*(k + 2)**2 Factor -7 - 7*h - 3*h**3 - 2*h + 4 + 0*h**3 - 9*h**2. -3*(h + 1)**3 Let i be (-7 - -7)/(6/3). Factor 0*k + i - 2/5*k**2 - 2/5*k**3. -2*k**2*(k + 1)/5 Solve 0*g**2 - 1/5*g**3 + 0*g + 0 = 0. 0 Let h be (-6)/15 - (-12)/5. Factor -9 + c**h + 9. c**2 Let f(h) = -2*h**3 - 12*h**2 - 6*h + 20. Let s(m) = m - 1. Let k(z) = f(z) + 8*s(z). Factor k(u). -2*(u - 1)*(u + 1)*(u + 6) Suppose -11*k + 10*k + 6 = -g, 0 = -4*k - 2*g. Factor n**k + 1/2*n + 1/2*n**3 + 0. n*(n + 1)**2/2 Let c(l) = l + 2. Let k be c(2). Let b(f) = -17*f**4 + f**3 - 3*f**2. Let n(y) = 9*y**4 - y**3 + 2*y**2. Let h(j) = k*b(j) + 7*n(j). Factor h(p). -p**2*(p + 1)*(5*p - 2) Let c = -87 + 89. Solve 2/3*j - 4/3 + 2/3*j**c = 0 for j. -2, 1 Let -50/3*p**2 - 15*p - 5/3*p**3 + 0 = 0. Calculate p. -9, -1, 0 Let y(a) = 59*a - 56. Let s be y(1). Solve 22/13*z + 4/13 + 14/13*z**s + 32/13*z**2 = 0 for z. -1, -2/7 Let a be (-1)/(-2) + (-9)/(-6). Factor 0 + n**a + n**3 - 1 + 15*n - 16*n. (n - 1)*(n + 1)**2 Suppose 2 = 5*r + 17. Let i(a) = -a**3 + 11*a**2 + 25*a + 13. Let l(v) = -v**3 + 5*v**2 + 13*v + 7. Let q(h) = r*i(h) + 5*l(h). Factor q(j). -2*(j + 1)**2*(j + 2) Let n(k) be the second derivative of -k**8/6720 + k**7/840 - k**6/360 + k**4/12 + 3*k. Let w(h) be the third derivative of n(h). Solve w(d) = 0. 0, 1, 2 Let s(z) be the third derivative of -z**8/840 + z**6/60 + z**5/30 - z**3/2 + 2*z**2. Let i(j) be the first derivative of s(j). Factor i(l). -2*l*(l - 2)*(l + 1)**2 Suppose -2*o + 72 = 66. Find r such that 0 + 1/2*r**o - 1/2*r + 0*r**2 = 0. -1, 0, 1 Find w such that 11/4*w**2 - 1/2*w + 0 - 19/4*w**3 - 3/4*w**5 + 13/4*w**4 = 0. 0, 1/3, 1, 2 Suppose 6*f**5 - 2*f**4 - 112/3*f + 8 - 106/3*f**3 + 182/3*f**2 = 0. What is f? -3, 2/3, 1 Solve 0 + 1/4*v**3 - 1/4*v**2 - 1/2*v = 0 for v. -1, 0, 2 Let w = -146 - -146. Determine l so that 0 - 1/3*l**2 + w*l = 0. 0 Let f(u) be the second derivative of u**6/120 + u**5/80 + 3*u. Let f(p) = 0. Calculate p. -1, 0 Let v(h) be the third derivative of h**6/60 - h**4/12 + 8*h**2. Factor v(k). 2*k*(k - 1)*(k + 1) Let w be -6*((-2)/3 - -2). Let v = w + 11. Let 1/4*r**4 - 1/4*r**v - 1/4*r**2 + 1/4*r + 0 = 0. What is r? -1, 0, 1 Let o(f) be the third derivative of 0*f**4 + 5*f**2 + 0*f**5 + 0 + 0*f + 0*f**7 + 1/60*f**6 + 0*f**3 - 1/168*f**8. Find x such that o(x) = 0. -1, 0, 1 Suppose 5 - 1 = 2*d. Let a(o) be the second derivative of o**d + 1/6*o**4 + 2*o - 2/3*o**3 + 0. Factor a(g). 2*(g - 1)**2 Suppose -1 - 27/2*f**2 - 29/2*f = 0. Calculate f. -1, -2/27 Let m(r) be the second derivative of r**6/2700 + 2*r**5/225 + 4*r**4/45 - r**3/2 - 4*r. Let y(v) be the second derivative of m(v). Factor y(l). 2*(l + 4)**2/15 Suppose 5*w + 27 = 4*i, 2*w - 42 = i - 6*i. Let a = 13 - i. Find f such that -7*f + 6*f**3 + a*f - 3*f**5 + 3*f - 4*f**4 + 4*f**5 - 4*f**2 = 0. 0, 1 Let w = -107/4 - -27. Suppose 1/2*f**4 + 0 - 1/2*f**2 - w*f**5 + 1/4*f + 0*f**3 = 0. Calculate f. -1, 0, 1 Determine g, given that 4*g + 0*g + 3*g**3 - 7*g - 6 - 6*g = 0. -1, 2 Let w = 463/3 + -151. Factor -4/3 - 2*x**2 + w*x. -2*(x - 1)*(3*x - 2)/3 Suppose 5*m = 2*j, -3*m = m + 2*j - 18. Factor 4*r + 5*r**4 + m*r + 3*r**3 -
{ "pile_set_name": "DM Mathematics" }
.4 + -8983. Round n to the nearest ten. 880 Let y = -4 - -22. Let x(f) = 116*f**2 - 28*f + 20. Let t be x(y). Round t to the nearest 1000. 37000 Let q = 39295985614175 - 39295976182332.5000002. Let b = 9431844 - q. Let j = 1.5 - b. What is j rounded to six dps? 0 Let z = 222679854 + -87279854. Round z to the nearest one million. 135000000 Let b = 4.593 - 5.6925. Let p = 7.1 - 6. Let x = b + p. Round x to three dps. 0.001 Let i = 19.2 + -1.2. Let a = i - 17.99999. Round a to 5 dps. 0.00001 Let o(p) = 69537*p**2 - 2*p - 7. Let i be o(-6). Suppose -3*l + 15976663 = -i. Round l to the nearest one million. 6000000 Let v = -65.71 - -66. Let o = v - 0.347. Let q = o - 0.029. Round q to 2 decimal places. -0.09 Suppose -131118 = 4*k - 4*w + 3*w, -2*w = 2*k + 65564. What is k rounded to the nearest one thousand? -33000 Let d(f) = 16704*f**2. Suppose 3*s = 0, 5*s - 8 = -2*h - 2*h. Let w be d(h). Suppose 28184 = l - w. What is l rounded to the nearest 10000? 100000 Let g be 6/11 - (-138733)/154*-348. Round g to the nearest one hundred thousand. -300000 Let r = 246542.399981 + -246543. Let w = -20 + 20.6. Let v = r + w. Round v to five dps. -0.00002 Let a = 0.1558 - 7.4658. Round a to zero decimal places. -7 Suppose 2*c = -5*p - 0*c + 31, -3*p + 25 = -2*c. Let y be 2 - (-457*p - -1). Round y to the nearest 1000. 3000 Let q = 215.63 - 217. What is q rounded to 0 dps? -1 Let v = -0.2676 - 0.0934. What is v rounded to 1 decimal place? -0.4 Let z = 0.367 - 0.366543. Round z to 5 decimal places. 0.00046 Let b = -131 - -78. Let g = b + 51.89. Round g to one decimal place. -1.1 Let w(a) = -19*a + 50*a**2 + 23 - 16 - 12 + 114*a**2. Let j be w(5). What is j rounded to the nearest 1000? 4000 Let c = 8552.66680235 - 8458.6668. Let t = 94 - c. What is t rounded to 6 dps? -0.000002 Suppose -4*a = h - 8, 0*a + 19 = a - 4*h. Suppose -2*m = -a*m. Suppose m = 4*p - 4*f - 28004, -2*f + 5904 = p - 1094. What is p rounded to the nearest 1000? 7000 Let g = 3.46 - 3.46345. Round g to 4 dps. -0.0035 Let l = 9336 + -9336.005239. What is l rounded to 4 decimal places? -0.0052 Let w = 99528.9815 - 99509. Let h = -20 + w. Round h to 2 dps. -0.02 Let f = -6.43 - -16.46. Round f to 0 dps. 10 Let u be 6/(-9) - 86378988/(-18). Suppose -u = 5*n + 4701168. What is n rounded to the nearest one hundred thousand? -1900000 Let v = 0.277 - 0.2572. What is v rounded to three dps? 0.02 Let b(p) = -123*p - 107. Let g be b(-9). What is g rounded to the nearest 10? 1000 Suppose -546*u = -548*u + 502200. Round u to the nearest one thousand. 251000 Let z = -7.0668131 + 0.0668161. Let i = 0 + 7. Let m = i + z. What is m rounded to 6 dps? 0.000003 Let d = 213.0508 - 213. Round d to 2 decimal places. 0.05 Let u = 0.825 - 0.7. Let o = u + -0.12603. What is o rounded to 4 decimal places? -0.001 Suppose -44*k - 2288000 = -36*k. What is k rounded to the nearest one hundred thousand? -300000 Suppose 21 = 3*a - r, -3*r - r + 12 = 4*a. Let d be 42/9 + (-4)/a. Suppose -5*h + 67 = 5*v + 5687, v = -d. What is h rounded to the nearest 100? -1100 Let n = 7.875 + -8.85. What is n rounded to 1 dp? -1 Let w = -704 + 703.999998529. What is w rounded to seven decimal places? -0.0000015 Let j = -122.07622 - 0.14378. Let s = -121 - j. What is s rounded to 1 decimal place? 1.2 Let f(z) = 17*z**2 + 3*z - 6. Let b be f(-5). Suppose 0 = c - b - 41. Suppose -9*n = -4*n + c. What is n rounded to the nearest 10? -90 Let u = 3217 - 2177. Suppose u = 41*f - 39*f. What is f rounded to the nearest 100? 500 Let p = 18.9 - -2.1. Let s = 20.9946 - p. What is s rounded to three dps? -0.005 Let q = 77 + -158. Let a = q + 80.8. Round a to 1 decimal place. -0.2 Suppose a = v - a - 2810006, a = -5*v + 14049997. What is v rounded to the nearest 100000? 2800000 Let n = -41.43 - -1.93. Let h = n + 15. Round h to 0 dps. -25 Suppose -4*w - 15 = w, 0 = 4*v - 2*w + 22974. Let y = -2642 - v. Let d be (-1 - 1 - 1) + y. Round d to the nearest one thousand. 3000 Let b be 2 + 9/((-9)/(-2)). Let d be 7821710/b - (-3)/6. Let l = -555428 + d. What is l rounded to the nearest one hundred thousand? 1400000 Let v = -0.009 + -25.991. Let l = 0.108 + 25.412. Let x = v + l. What is x rounded to 1 dp? -0.5 Let z = -1125.421 - -1126. What is z rounded to 2 dps? 0.58 Suppose 2*o - 10*o = -48. Let a be (4 - 0 - o) + -23594 + -4. What is a rounded to the nearest 1000? -24000 Let k = 0.16 + 68.84. Let w = -68.895 + k. Round w to 2 decimal places. 0.11 Suppose 2*g = -g - 1452. Let s be (g/(-16))/((-4)/16). What is s rounded to the nearest 10? -120 Let v = 344.8 + -397. Let j = 59.2 + -1.2. Let z = v + j. Round z to zero dps. 6 Let v(c) = -2*c**3 - 11*c**2 - 3*c. Let m be v(-5). Let x be (-5)/m*2*-66. What is x rounded to the nearest ten? -70 Let x = 15117659483 - 15117659519.999999978. Let a = x - -37. Round a to 7 dps. 0 Let u(f) = 116*f**2 + 6*f - 13. Let b be u(-6). Suppose 3*w - b - 6270 = -m, -5*m + 51998 = 2*w. Round m to the nearest 1000. 10000 Let k(o) = -o**3 + 4*o**2 + 7*o - 5. Let t be k(5). Suppose -3 = 7*a - 24. Suppose -a*n + t*n + 1460000 = 0. What is n rounded to the nearest 100000? -700000 Let t = -264.9571 + -0.0429. Let g = -264.99999694 - t. What is g rounded to seven dps? 0.0000031 Let d = -2.89 - -3. Let h = 0.10933 - d. What is h rounded to 4 decimal places? -0.0007 Let g = 47 + -103. Let n = g + 8. Let r be (-2 - (-28738)/(-6))*n. Round r to the nearest one hundred thousand. 200000 Let f = -141.9999999539 + 142. Round f to 7 decimal places. 0 Let o = -2.144 + 0.044. Let b = o + 2.1019. What is b rounded to 3 decimal places? 0.002 Let n be 13/(-52) + 66918/(-8) - -4. What is n rounded to the nearest 100? -8400 Let b = -7.317 + 6.6677. Round b to two decimal places. -0.65 Let u = 18 - -15. Let l = -32.79 + u. Let x = l + -0.21000079. Round x to 7 dps. -0.0000008 Let o = -3.6082 - 0.0818. Let t = -623 + 621.25. Let f = t - o. Round f to 1 decimal place. 1.9 Let g = 13 - 5. Let q = 2 + g. Let h(n) = 689*n**2 + 10*n. Let b be h(q). What is b rounded to the nearest 10000? 70000 Let k = 4.9 + -19.8. Let v = 8 - -1. Let f = v + k. What is f rounded to 0 dps? -6 Let v = 89995 + 135017. Suppose 4*k = -3*z + v, 0*z - 2*z + 2*k + 149994 = 0. What is z rounded to the nearest 100000? 100000 Let g = -4101135.8694 + 4101777. Let i = 649.13 - g. Let h = i - 8. What is h rounded to 3 decimal places? -0.001 Let y = -135 + 119.8. Let l = 17 + y. Let f = l + -1.7999983. What is f rounded to six decimal places? 0.000002 Let n = -92 + 91.999703. Round n to 4 dps. -0.0003 Let z = 0.3433 - 0.5282. What is z rounded to two decimal places? -0.18 Let y = -2373.4050017 - -2373.665. Let w = -0.03 + -0.23. Let p = y + w. Round p to 6 decimal places. -0.000002 Let p = -110 - -122. Let u = 41 + p. Round u to the nearest 10. 50 Let q = -224788471032.255348863 - -224788471151. Let s = 0.255279863 + q. Let y = s + -119. Round y to five decimal places. -0.00007 Let b be (-3)/(3/1) + -12. Let a = -19 - b. Let r be 4499998 + a/(-7 - -4). Round r to the nearest 1000000. 5000000 Let u = 0.9 - 0.98. Let i = u - 9.92. Let s = 9.99999928 + i. Round s to 7 dps. -0.0000007 Let d(j) = 4*j**2 + 4*j + 7. Let r be d(-2). Let o be r - 11 - (3460005 + -1). What is o rounded to the nearest one million? -3000000 Let v(h) = 2*h - 4. Let m be v(2). Suppose -3*d + 351096559 - 10596559 = m. Suppose d = -4*t - t. What is t rounded to the nearest 1000000? -23000000 Let l = 24 - 23. Let t = 3 + l. Suppose 8 = t*s - 6*s. Round s to zero dps. -4 Let x = -0.6 - 7.4. Let o = -91202822.99999984 - -91202815. Let h = o - x. Round h to seven decimal places. 0.0000002 Let l = -574.522 + 573. Let m = 1.6 + l. Let q = -0.07857 + m. What is q rounded to 4 decimal places? -0.0006 Let m = 1064 + -1064.0011608. What is m rounded to 4 decimal places? -0.0012 Let t be 0*(-1)/4 + 0. Suppose 13*h - 9*h = t. Suppose h = -v + 2*v + 380. What is v rounded to the nearest one hundred? -400 Let z = -8117.017 + 8130. Let w = -13 + z. Round w to 2 dps. -0.02 Let z = -0.1443 - -368.5443. Round z to the nearest ten. 370 Let f = -788 - -788.00426. What is f rounded to 3 dps? 0.004 Let x(b) = -5918*b**2 - 4*b - 46. Let l be x(-7). Round l to the nearest one million. 0 Suppose 0 = g - 4*d - 44997, 0 = 3*g + g - 3*d - 179988. Let o
{ "pile_set_name": "DM Mathematics" }
p. -4 Let m = 3 + 0. Suppose -3*p - 19*p = -66. Solve 6*j + m = p*j for j. -1 Let x = -56 + 60. Suppose -3*v + v + 10 = -x*s, -s = -4*v + 13. Solve 0*o = o - v for o. 3 Let n(f) = f**3 + 6*f**2 + 7*f - 1. Let p be n(-4). Solve 16 - 1 = p*m for m. 5 Let q(c) be the third derivative of c**6/120 + c**5/10 + c**4/12 - 15*c**2. Suppose 2 = l + 7. Let m be q(l). Solve -4*v + m = v for v. 3 Let w(m) = -78*m**2 - 8 - 11*m**3 + 10*m**3 - 9*m + 89*m**2. Let g(z) = -z**3 + 6*z**2 + 3*z - 8. Let l be g(6). Let b be w(l). Solve b*j = -0*j + 8 for j. 4 Let b be (-6)/27 - ((-370)/45 + 4). Solve -3*h = -b*h + 2 for h. 2 Let f(n) = 0*n + 2*n + 0*n - 6*n. Let o be f(-4). Let l = 21 - o. Solve 6*b = l*b for b. 0 Let j = 216 - 208. Solve -4*i - j + 24 = 0 for i. 4 Let x be (16/(-10))/(20/(-50)). Suppose v + x = 2*v. Suppose 0*o + v*o - 20 = 0. Solve 3*j = o*j - 6 for j. 3 Suppose -7 = -q + a, 0*a - 15 = 5*a. Solve -4*g - q + 8 = 0 for g. 1 Let t = 32 + -62. Let u(s) = s**3 + 12*s**2 + 31*s + 18. Let x be u(-9). Let y = x - t. Solve h + 2*h + y = 0 for h. -4 Suppose -a = 2*a - 12. Suppose n + p = 7, n = -a*n + 3*p + 19. Let b be (-4 - (2 + -3)) + 4 + 5. Solve x = b*x + n for x. -1 Let o(m) = -m**3 + 4*m**2 + 4*m - 14. Let b be o(4). Suppose -32 - 14 = -b*c. Solve -3 + c = 5*h for h. 4 Let m be 0 + 38/10 - (-20)/100. Suppose m*w + 7 = 7. Solve w = -4*z - z - 20 for z. -4 Suppose -j - 8 + 26 = 3*o, 2*j - 4*o = -4. Let s = 8 + -7. Let z be (0 - -1) + 20 - s. Solve 2*w - j*w = z for w. -5 Let k(a) = -a**2 - 25*a. Let c be k(-25). Suppose 8*x = 7*x - 4*d, -3*d - 28 = -x. Solve c*j = -4*j - x for j. -4 Let f be (-516)/(-21)*63/18. Solve 14 = -f*s + 79*s for s. -2 Suppose 4*z - 5*o + 9*o = -12, 5*z - 6 = 2*o. Solve -i - 3*i = z for i. 0 Suppose 0 = 4*x - t + 4, 7*x - 3*t = 6*x - 12. Solve x*b - 6*b + 30 = 0 for b. 5 Let t = -4 - -9. Suppose z - 30 = t*i, z - 3*i - 53 = -z. Solve y - z = 6*y for y. -5 Let c(w) be the first derivative of 7*w**4/4 + 4. Let q = 13 - 12. Let f be c(q). Solve 27 - f = -5*s for s. -4 Suppose 0*y = 4*y, -2*a = 5*y. Suppose 0 = 3*v + 4 - 43. Suppose v*g - 9*g = a. Solve g*m = 4*m - 12 for m. 3 Let t(i) = 3*i + 19. Let o(l) = 4*l + 19. Let j(a) = -5*o(a) + 6*t(a). Let d be j(8). Solve 0 = u - d*u for u. 0 Suppose 135 = 77*r - 50*r. Suppose -4*i = -6*i + 4. Suppose 6*d - i*d - 20 = 0. Solve -r*j + 5 = -d for j. 2 Suppose 3*i + 0*i = 3. Let o be i/2 - 43/(-2). Suppose 26 = 3*y - 4*z, 5 = 5*y + z - 0*z. Solve -o = -5*c - y for c. 4 Let k be -2 - -1 - 0/(-2). Let x be 3 + -4 + 6*k. Let u(j) = j**2 + 2*j - 17. Let t be u(x). Solve -4*h - 2 = -t for h. 4 Let n be (3/6)/((-5)/110). Let u(c) = c**3 + 11*c**2 - 2*c - 20. Let p be u(n). Solve 0 = y + p*y + 3 for y. -1 Let x(t) = 21*t - 10. Let a be x(3). Solve a*h = 54*h - 1 for h. 1 Let g = 12 - 12. Suppose g = -0*t + 5*t. Solve t*p = p + 3 for p. -3 Let a(w) = -w**2 + w + 52. Let r be a(-6). Solve r = -5*n + 7*n for n. 5 Let k(t) = 17*t**2 - 12*t + 11. Let n be k(1). Solve p - n = 5*p for p. -4 Suppose -12*r - 170 = -7*r. Let i = -34 - r. Suppose -38*q + 40*q = i. Solve -3*v = -q*v for v. 0 Let u(y) = 3*y**2 + 17*y - 40. Let f be u(2). Solve -j + f = 8 for j. -2 Let u(p) = -p + 15. Let l be u(13). Suppose 43 = -l*j + 53. Solve 0*b - b - j = 0 for b. -5 Suppose 0 = 4*f + 6*a - 70, -3*f + 38 = 4*a - 11. Let k(v) = 5*v - 8. Let p be k(6). Solve f = -3*z + p for z. 5 Suppose -19 = -9*c + 17. Solve -c*g + 2*g = 2*g for g. 0 Let s = -43 + 118. Suppose 2*g - s = -3*g. Suppose 5*q = -g, 2*r - 3*q - 5 = 4. Solve r*u - 20 = 5*u for u. -4 Let j(v) = v**2 - 3. Let a be j(3). Let f(k) = k**3 + 6*k**2 - 9*k + 6. Let h be f(-7). Solve a*b - b - h = 0 for b. 4 Let f = -3 - -10. Suppose s - f = 3*s + 3*i, s + 1 = -i. Suppose -16 + 96 = s*u. Solve 2*h = -3*h + u for h. 4 Let k(g) = -2 + 20 - g**3 + g**2 - 12*g**2 - 4 + g. Let z be k(-11). Solve l + z*l = -8 for l. -2 Suppose 2*n + 3 - 15 = 0. Suppose 155*f - n = 153*f. Solve -16 = -f*x - 7 for x. 3 Let p = 56 + -53. Suppose p*v - 29 = 4. Solve -3*i + 4 + v = 0 for i. 5 Let b = 86 - 50. Suppose m = -2*m. Suppose 4*f - b = -m*f. Solve -4*n + f = -3 for n. 3 Let t = 28 - 23. Suppose -t + 5 = 2*y. Solve 0 = 2*d - y - 2 for d. 1 Suppose -2*g = 2*g + 3*n + 37, 0 = 4*g - n + 41. Let h be 30/4*(-4)/g. Solve 0 = h*s - 6 - 6 for s. 4 Let v(m) = -9*m + 4. Let h be v(-14). Let d = 150 - h. Solve d - 50 = -6*r for r. 5 Let g(i) = 2*i - 8. Suppose -5*b + 5*v = 40 + 30, 2*b = -4*v - 58. Let y = -15 - b. Let c be g(y). Solve -u + 6*u - 10 = c for u. 2 Let t(b) = -b. Suppose 0*z = 3*z - 2*d - 4, -4*d = 5*z - 14. Let o = z + -5. Let n be t(o). Solve 5*g - 4*g = n for g. 3 Let p(d) = 100*d + 206. Let v be p(-2). Solve 36*c - 34*c + v = 0 for c. -3 Suppose -4*p - 6*x = -9*x - 7, -3*p + 4*x = 0. Suppose 3*j = -5*z - 6, -4*j = -p*z - 8 - 16. Let q be (25/2)/(2/4). Solve -j*s + q = 2*s for s. 5 Let t(k) = 2*k - 4. Suppose -z - 8 = -4. Let p be (-11)/z + 1/4. Let a be t(p). Solve -s + a = 1 for s. 1 Let m be (8/4)/((-2)/(-4)). Suppose -7*x = -m*x. Suppose 5*f - 5 = x, -3*g + 6*f - 2*f = -8. Solve -o - g*o = 25 for o. -5 Suppose 10*i = 18 + 72. Solve 19 = i*g - 26 for g. 5 Let l = -128 - 10. Let x = l + 141. Solve -x*p + 2*p = 5 for p. -5 Let a(s) = 10*s - 11. Let d be a(10). Solve d*o = 86*o + 15 for o. 5 Let u be (-3)/5 + 730/50. Suppose -5*k - 4 = -u. Suppose 2*f + k*f - 12 = 0. Solve -2*x = f*x - 10 for x. 2 Suppose 4*o - 8 = -4*r, 0 = -4*o + 5*r + 16 - 8. Suppose 2*i + 4 = 28. Solve -2*p + i = o*p for p. 3 Suppose -3*j - w + 46 = 0, 7*j - 40 = 4*j + 5*w. Solve -j = -5*v - 40 for v. -5 Let b(n) = 2*n + 17. Let m be b(-7). Let o be (-9)/(-2)*2/m. Solve -5*j + o*j = -6 for j. 3 Suppose 12 = 3*w + 4*i, 3*w + 6 + 3 = 3*i. Solve 0*x + 20*x - 40 = w for x. 2 Let v(q) = -q**2 - 84*q + 175. Let j be v(2). Solve -9 = -3*y - j for y. 2 Let u = -239 + 241. Let g be 1/((-1)/(10/(-2))). Suppose 19 = -r + 2*r - g*j, 29 = 3*r - j. Solve -u*w = w + r for w. -3 Suppose 2895 + 291 = 18*r. Solve -171 = 3*w - r for w. 2 Let o = -36 - -26. Suppose 2*v + 4*l - 44 = 0, 2*v - 28 = -3*l + 12. Let b = o + v. Solve 0 = b*s + s for s. 0 Let w be ((-8)/(-3))/(-3 + 44/12). Let t = 2 - 0. Let q be t/1 + (0 - 0). Solve -q*s + 4*s - w = 0 for s. 2 Let w be (-6)/(-4)*(154/21 + -4). Suppose 5*k = 0, -4*k - 37 = -w*o + 8. Solve 4*z = z + o for z. 3 Let u = -11 - -13. Let v(r) = 2*r - u*r - 2*r + 3*r. Let p be v(0). Solve p = i - 1 + 4 for i. -3 Let j be (3*-2)/(2 - -1 - 4). Suppose 0 = -7*k + k + j. Solve z + k = -1 for z. -2 Let p be (13 - 16)/(0 + 6/80). Let q = 42 + p. Solve -5*d = -q*d - 12 for d. 4 Let f(m) = -3*m**3 + 3*m**2 - 3*m + 3. Let g be f(2). Let l be 2/15*57 - 6/g. Solve 2*j - l = 2 for j. 5 Suppose 0 = -5*r - 2*f + 16, 0 = r + 45*f - 42*f - 11. Solve -r*u = -0*u + 8 for u. -4 Let g(y) = -y**3 - 26*y**2 + 26*y - 20. Let h be g(-27). Solve 3*a - 20 = h*a for a. -5 Suppose 19*w = 24*w. Solve 32 = 8*d - w*d for d. 4 Suppose 0 = -5*g + v + 9, -g = -3*v - 1 + 2. Suppose -a - 4*s + 23 = 0, 3*a - 7*s = -10*s + 33. Solve 20 = -a*z + g*z for z. -4 Let i be ((-10)/(-1))/(-40) + (-49)/(-4). Solve 0 = -b - 3*b + i for b. 3 Suppose -2*a = 139 - 391. Let i = 126 - a. Solve i*f + 12 = 4*f for f. 3 Suppose -69 = -25*z + 331. Solve -z = 14*n - 10*n for n. -4 Let g = 195 - 162. Let z be g/9 - (3 - 35/15). Let w be (0 - 6/8)*-4. Solve -z*p = -0*p - w for p. 1 Let z = -6 - -9. Let a(v) = v**3 - 2*v**2 - 3*v - 4. Let p be a(z). Let c be 0*p/12 - -2. Solve 2*l + 8 + c = 0 for l. -5 Suppose a = -3*g - 28, -2*g = -5*g - 4*a - 22. Suppose 3*n - 14 = -2*z, 2*z - 32 = 3*n + 6. Let b = z + g. Solve b*l = -l - 20 for l. -5 Suppose 2*j + 5*p = -21, 3*p + 2 + 13 = 0. Solve -j*u = 2*u - 20 for u. 5 Suppose -50*o = -45*o + 200. Let q = o - -41. Suppose -r + 18 = 4*p, -4*p = -4*r - 0*r - 8. Solve p*l + 5 = q for l. -1 Suppose -9 = -2*l + 3*n + 12, 3*l = 2*n + 19. Solve -64*i + 65*i - l = 0 for i. 3 Suppose -3*f - 4*m - 11 = -0*m, 2*f + m = 1. Let w be (24/66)/(4/22). Solve 0 = -f*v - w*v for v. 0 Let v = 17 + -13. Let c(q) be the second derivative of -q**5/20 + 5*q**4/6 + q**3/6 - 2*q**2 + 3*q. Let f be c(10). Solve f = v*k + 18 for k. -3 Let s(m) be the third derivative of m**4/24 + 4*m**3/3 - m**2. Let a be -4 + 2 + -5*8/(-20). Let y be s(a
{ "pile_set_name": "DM Mathematics" }
2575)/(-1333) - 17)? -4/3 What is the value of (-1197)/(-30)*(-60)/270 + 9? 2/15 Calculate -5 - ((-143)/(-13) - (-804)/(-50)). 2/25 What is the value of 2228/3899*(2/12)/(-1)? -2/21 ((-24)/27*(-6)/(-5))/(216/180) -8/9 -29 - (-33)/(-3 + 36) -28 -6 + -1 + -4 + 1 + -13 -23 What is the value of (62/(-6) - -10)*((-17388)/96)/23? 21/8 What is (-685)/(-20) + 140/80? 36 What is the value of 12/9 - (15 - 1818/135)? -1/5 What is (-423)/(-540) + (-25)/30? -1/20 Evaluate 2*(22 + (-2766)/126)/(6/(-9)). -1/7 What is the value of ((-1104)/(-64) + -16)/((-10)/(-4) + -2)? 5/2 Evaluate (-26 + 24)/(-1*(-4)/14). -7 What is the value of ((-286)/(-1364))/(286/88)? 2/31 Evaluate (-12)/(-26) + -4367*(-4)/572. 31 Evaluate 8 - (-270)/(-10) - 2/(14/(-63)). -10 What is the value of (-18)/2 - (8536/132 + -74)? 1/3 (-90)/63*(-245)/175 2 What is 3237 - 3230 - (-7 + -1)*(-1)/2? 3 What is the value of 140*32/120 + -37? 1/3 Evaluate 1324/(-31114) + (-609)/47. -13 Calculate (-90)/(6 + -11) + (-14*2)/4. 11 What is 6/(-104)*(7 + 203/(-21))? 2/13 10 - ((-94)/114)/((-83)/996) 2/19 What is the value of ((-406)/58 - (-3 + 116/(-14))) + -4? 2/7 Calculate (2/6)/((-284)/355 + 134/(-120)). -4/23 (57/2)/(2 + (5 - 10)) + 9 -1/2 0 - (9/4)/(72/(-96)) 3 (1275/(-170))/(10/(-12)) 9 What is the value of (-144)/192 - 9/(-6)? 3/4 What is the value of 18/(-24) + 1 + (-189)/(-12)? 16 What is (-4)/(160/(-150))*2/10? 3/4 What is the value of (-445)/1780 + 13/4? 3 (24/(-75))/(((-6)/(-10))/(36/24)) -4/5 Evaluate (-1928)/(-6)*10/(-400) + 8/1. -1/30 What is (-18)/144 + 684/3936? 2/41 Evaluate (-26)/10 - (-23 + 18) - 2/1. 2/5 ((-180)/(4 + 11))/3 + -2 -6 Calculate (-140184)/7020 + (-2)/65. -20 What is (-87)/(-312) - (105/140 - 5/8)? 2/13 What is the value of ((-2)/(-8))/(9/(-156)) - 6/(-18)? -4 What is the value of (35/84)/(((-3850)/(-66))/(-35))? -1/4 What is the value of 6/(-2)*((-64)/224)/(27/21)? 2/3 Evaluate -16*((6 - 4) + 3/(-2)) - -8. 0 2/(((-19)/(-38))/(1/4)) 1 What is the value of -1 + (9 - 0)*136/272? 7/2 What is the value of 864/81 + (-182)/39? 6 Evaluate ((-20500)/(-160))/25 + (-3)/24. 5 Calculate 33/(-6)*((-7)/(-1) - 16999/2101). 6 What is (-141)/188*252/9? -21 Evaluate ((-442)/85)/(2/5). -13 2457/(-168) + 10 + 5 3/8 Evaluate (2 - (7 + -2))*6*16/(-72). 4 105/28*(-48)/(-15) 12 What is the value of (-2)/(1/5 - (-264)/880)? -4 What is (5 + -2)/(19 - (-1 + -1 + 6))? 1/5 What is ((-428)/(-2247))/((-35)/30*4/1)? -2/49 Evaluate 4*(4/144*177 + (-100)/(-30)). 33 (-10)/(20/14) + 3/9*3 -6 ((-28)/(-30))/(56/280)*10/5 28/3 What is 7/30 + -1 + 0 + 207/230? 2/15 (-515)/(-300)*-2 + 25/30 - -2 -3/5 Evaluate 252/(-56)*((-70)/45)/(0 - -1). 7 What is the value of -255 - -261 - 225/35? -3/7 What is 5/(-65) - ((-2013)/143 - 8)? 22 (13 - 15)*((-585)/99 - -6) -2/11 Calculate (-28)/3*(-54)/72 - -5. 12 What is the value of ((-1)/(-3))/(-75 - -72)*1? -1/9 Calculate 9*(840/2100)/((-4)/30). -27 Calculate (-8 + -5 + 8)*12/10. -6 Calculate (7/(-252)*-9)/(42/24). 1/7 Calculate 801/2848*12/(-9). -3/8 -8 - (-160)/20 - (-3)/5 3/5 What is ((-2)/5 - 0/1) + 17914/(-1690)? -11 6*(-6)/(-18)*(6 - 133/14) -7 Calculate 9/540*6*20/(-6). -1/3 What is -2 + (-14)/(-4) + 0 + (4 - 4)? 3/2 Calculate (4*(-18)/24)/((-2)/(120/(-9))). -20 Evaluate 57/133 + 2 + (-4 - 1311/(-861)). -2/41 What is (-123)/(-9) + 0 - (-2890)/(-289)? 11/3 What is 50/656 - (-196)/(-1568)? -2/41 Calculate (-102)/(-18)*3 - (16 - 13). 14 Calculate 161/805*(104 - -1). 21 Evaluate ((-14)/(-399))/(380/1805). 1/6 What is (-1353)/82*32/(-616)? 6/7 Calculate (0/(7 - 17))/2 + (0 - -1). 1 What is 71/(-6) - (24/88)/((-324)/(-198))? -12 What is (-39)/9 - (-136)/12? 7 What is 70/42*6*2/260? 1/13 Evaluate (24/126)/((-910)/245). -2/39 What is the value of 0/(-1) + (-1029 - -1053)? 24 What is (-2)/7 + (-58)/(-174)? 1/21 What is the value of ((-9288)/860)/(4 - 19/10)? -36/7 Calculate (6 + 4144/(-686))/(4/28). -2/7 Calculate (-2)/((-12)/6) + (-16 - -7). -8 What is (-3465)/121 + (-41 - -70)? 4/11 Calculate 712 + -677 + (-106)/3. -1/3 Evaluate 1581/187 + -9 - 3/(165/1400). -26 Evaluate (-23)/6 - (-267)/(-178) - -5. -1/3 What is 0/((-25)/10*15/((-750)/(-40)))? 0 Evaluate (24/(-4 - -10))/(((-48)/8)/12). -8 (-239)/(-17) - 114/1938 14 What is 24/21 + (9108/(-42))/(-22)? 11 Evaluate 2 - -5 - (5/((-180)/(-436)) + -5). -1/9 Calculate 19 + (-72)/12 + -12. 1 Evaluate ((-524)/(-1179))/(4/(-3)). -1/3 What is (20/24*-2)/(315/(-189))? 1 (-8)/68 + (21/18)/(340/(-330)) -5/4 What is ((-20)/(-15))/(1716/(-126)) + 64/(-176)? -6/13 What is -9 + -1*(-837)/99? -6/11 What is the value of (88/(-8) + 11)/(4/(20/5))? 0 Evaluate ((-38)/36 - ((-8)/(-18))/1)/(-1). 3/2 Calculate 6/4 - (-10819)/(-930) - (-2)/15. -10 What is (-16)/12*(-261)/435? 4/5 What is (-10)/(-14)*((13 - 234/15) + 7)? 22/7 Evaluate (122256/(-4368) + 28)/(3/7). 1/39 11 - (3 + (-161)/224*-8) 9/4 What is the value of ((705/(-188))/5)/((-2)/56)? 21 Calculate (-6)/((-10)/4 - -1) - 2/1. 2 What is the value of (-50)/72 + 198/(-72) + 3? -4/9 8/(-36) - 324/(-8019) -2/11 Calculate ((-36)/(-180))/((-9)/(-15)). 1/3 (-79)/9 + (-28 + 30)/((-6)/(-27)) 2/9 What is 1*(-2 - (0 - ((-308)/(-21) + -9)))? 11/3 18 - (-43)/(688/(-288)) 0 Calculate (8 - 935/(-323)) + -11. -2/19 What is the value of 910/(-3045)*-29 - 11/1? -7/3 Evaluate (((-1)/(-2))/(1/(-14)))/(8/(-8)). 7 Calculate -16 + 5 + 9/3 + 7. -1 (((-3)/21)/(-1))/((2808/252)/(-26)) -1/3 What is the value of (34/(-6) + 5)/(182/39)? -1/7 Evaluate (0 + (-6)/(-24))/((-4)/144). -9 8 - (-8 - 1107/(-72)) 5/8 Evaluate 24/42 - ((-36)/(-14))/(-6) - -18. 19 Calculate ((-4)/(-28) - 82/(-14)) + 19650/(-3537). 4/9 Calculate 403/682*22 + -11. 2 Evaluate ((-407)/(-121) - 5)/(6/(-44)). 12 What is the value of (((-3)/(-10))/((-549)/(-305)))/((-34)/(-12))? 1/17 Calculate -54 + 64 + -2 + 2. 10 What is 2/11 + 21470/8360 - (-6)/(-2)? -1/4 24/450*35 + 1*(-2)/3 6/5 (-2 - (-21)/10)*-12 + (-7595)/(-6125) 1/25 What is the value of (-3)/(-5 - 1)*-28? -14 (-10)/14*180/(-360)*(-4)/5 -2/7 What is the value of ((-119)/(-196))/(-17) - (-54)/72? 5/7 What is the value of ((-33)/22*-7 + -11)*0 - 27? -27 Evaluate (1/(-30))/((-6)/(-10) + (-1134)/1215). 1/10 What is the value of 126/(-30)*38/(-798)? 1/5 Evaluate (14 - (-3045)/(-112)) + (-6)/(-32). -13 Calculate ((-111)/185)/((-13)/(-10)). -6/13 What is (-6015)/(-4812) - (0 + (-130)/(-8))? -15 What is the value of -26 - 0 - 1890/(-45)? 16 What is the value of -1 - (-975)/(-51) - 26/(-221)? -20 Calculate 2*341/(-76) - -36*(-11)/(-44). 1/38 Evaluate 9 - (456/(-76) - (-336)/22). -3/11 (4/(-5)*105/(-126))/((-22)/18) -6/11 What is the value of ((-812)/42)/58*(-18)/(-17)? -6/17 (20/(-24))/(-14 - -4) 1/12 ((-128)/(-96))/((-84)/9) -1/7 What is the value of 1*-5 - (146 + -144)? -7 Calculate 400/(-240)*98/35*12/2. -28 Evaluate (-2)/(-67) + 50690/146864. 3/8 Evaluate 920/(-180) - (-5 - 0). -1/9 Evaluate (25/(-9))/(300/180). -5/3 What is the value of 1470/(-180) - -14 - 3/8*4? 13/3 (112/280)/((-2)/(50/(-45))) 2/9 What is the value of (-3)/((-104)/(-64) + -2)? 8 What is 12/9*6/28*(-357)/459? -2/9 Calculate ((-22)/1848)/(34/(-476)). 1/6 What is (-1)/((-532)/323) + 2/8? 6/7 -1 + 0 - 6*(-14)/((-336)/20) -6 What is ((3 - 2)/15)/((-412)/4944)? -4/5 Evaluate (4/6 + (-20)/(-3))*(-930 + 927). -22 (3276/(-455)*(-10)/(-4))/(18/(-12)) 12 Calculate (-5 - 93/(-18))/((-9)/6). -1/9 Evaluate ((6/14 - 31915/(-4095)) + -8)/(-3). -2/27 Evaluate (18 + -14)*-4*18/(-48). 6 What is 462/(-140)*-5 + -20? -7/2 Calculate ((-495)/(-22) + 7 + 2)*16/36. 14 What is the value of ((-24)/22 + 210304/197780)/((-4)/(-10))? -2/29 Calculate (-25)/(-125) - (-1 - 24/(-30)). 2/5 Calculate (3/4)/((-45)/12). -1/5 Evaluate 85/150 + (8/14)/(66/(-77)). -1/10 Evaluate 6 + 12 + (1 - 10) - 7. 2 What is the value of 0 + 17/51*-21? -7 (1330/1190)/(7/119) 19 What is (-27 - (1 + -19)) + (-39)/(-5)? -6/5 (-6)/(38/(-152)*2) 12 What is (1 - -7)/(48/(-12) + 6)? 4 (-1504)/(-47) + -14 + -1 17 Calculate 1*-4*(24/(-144) + (-2)/(-4)). -4/3 Calculate (10/30)/(((-2)/10)/(38/76)). -5/6 Evaluate ((-10)/((-100)/45) - 72/9)*8. -28 Calculate (3 + 10/(-3))/(18/(-378)). 7 Evaluate ((-2)/186)/(55/330). -2/31 What is the value of (-7)/42*2*((-2 - -38) + -3)? -11 What is the value of ((-19)/(-133))/(2/(-1))? -1/14 What is the value of (((-918)/72 - -12) + 2)/((-3)/(-36))? 15 What is (-371)
{ "pile_set_name": "DM Mathematics" }
**2 + y + c*n and give y. 5 Rearrange 2*s - 60*s + 29*s - 47*s to the form d + t*s and give t. -76 Express 1 + 5 - 4*w**2 + 6*w**2 + 2 as y + b*w + c*w**2 and give c. 2 Rearrange 0*w**2 - 9*w**2 - 7*w**2 to g + o*w + n*w**2 and give n. -16 Express 3 + 22*t + 53*t + 1 - 2 in the form f + l*t and give l. 75 Rearrange -1 + 1 + 2*i - 2*i + i - i - 5*i + 3*i + i + (-4*i + 6*i - i)*(2 - 5 + 1) + i - 3 + 3 - i - i + 6*i + 4 + 4*i - 4 + 3*i - i - i to p + d*i and give d. 7 Express (-g - 4*g + 3*g)*(-3*g + 4*g - 3*g) - 65*g - 2*g**2 + 31*g - 12*g as i*g**2 + c*g + s and give i. 2 Rearrange 4*i + 2*i**2 - 10*i - 2*i**3 + 0*i + 5*i - 5*i**4 to r*i**2 + z*i**4 + u*i + q + d*i**3 and give z. -5 Express 3*p + 6*p - p as k + o*p and give o. 8 Rearrange (-1 + 0 + 0)*(0*u**2 - 4*u**2 + 3*u**2 - 4*u) to j*u**2 + z + t*u and give t. 4 Express h**2 - 1 - 3*h - h**4 + 2*h + h**2 - h as t + v*h**4 + x*h**3 + s*h**2 + i*h and give t. -1 Rearrange (3 + g**2 - 3)*(0*g + 5*g + g)*(4 + 2*g - 4)*(5 - 1 - 1) to the form a*g**2 + t*g**4 + l + f*g**3 + k*g and give t. 36 Express (-5 - 2 + 27 + (2 - 1 + 0)*(1 - 2 + 2) + 4 - 2 + 1)*(-4*o + 0*o + 3*o)*(-1 + 1 - 2*o) in the form u + q*o + z*o**2 and give z. 48 Rearrange (5 - 2 + 13)*(-1 + 1 - n**3) to t*n + b + x*n**3 + d*n**2 and give x. -16 Rearrange 2*s**2 + 19*s - 19*s - 14*s**3 to w*s + q + u*s**2 + l*s**3 and give l. -14 Rearrange (2*w**2 - w**2 + 0*w**2)*(12 - 7*w - 5 + 6*w) to the form q*w + m + a*w**2 + u*w**3 and give u. -1 Rearrange (-2*p + 2*p + p)*(-2*p**2 + 2 + 6*p**2 - 6*p**2) to z*p + b*p**2 + j + a*p**3 and give a. -2 Express -2 + 1 + 5*x + x**3 + 12*x**4 - 10*x**4 in the form z*x**3 + l + m*x**2 + q*x**4 + i*x and give z. 1 Rearrange (-9 + 10 + 15)*(4*c**3 + 2*c**3 - 5*c**3) to s*c + r + z*c**3 + y*c**2 and give s. 0 Express 6*p**3 - 10*p + 2 + 17*p - 8*p as c*p**3 + k*p**2 + i + v*p and give c. 6 Rearrange -134*b**2 + 92*b**2 - 216*b**2 + (2*b + 2 - 2)*(2*b + 0*b - 3*b) to v + p*b**2 + z*b and give p. -260 Express (2 - 3 + 0 - s)*(7 - 84*s - 6 + 145*s**2 + 86*s) in the form y*s**2 + v*s**3 + l + w*s and give w. -3 Express a**4 + 3*a**3 - 29*a - 31*a + 62*a - 2*a**2 + 3*a**4 as u + r*a + k*a**4 + m*a**2 + p*a**3 and give k. 4 Express (-2 + 2 - h**2)*(-h + 1 - 1) + h**3 + 2*h**2 - 2*h**2 + (3*h - 5 + 5)*(7 + 5*h - 7)*(h + 6*h - 3*h) in the form q + f*h + j*h**3 + m*h**2 and give j. 62 Rearrange 6*z + 2 + 0 - 21*z to the form n + v*z and give n. 2 Express 17 + j**2 - 286*j + 286*j in the form q*j + h + s*j**2 and give h. 17 Express -40 - 37*p**2 + 40 as i*p + g + w*p**2 and give w. -37 Rearrange -107 - 18*h + 107 + 0*h + 0*h + h + 0*h + 3*h - 2*h + 1 - h - 1 + (-4 + 4 + 2*h)*(0 + 0 - 1) to w + y*h and give y. -19 Rearrange 8*p - 7*p + 12*p + (-5 + 5 + p)*(0 - 1 + 0) - p - 1 + 1 - 4 + 4 - p to the form j + i*p and give i. 10 Express -2*t**4 - 140*t**3 + 2 - t**2 + 3*t**4 + 151*t**3 as u*t + g + s*t**2 + l*t**4 + x*t**3 and give g. 2 Express 3*h - 2*h + 0*h + (h - h + h)*(-2 + 2 - 1) - h - 2*h + 8*h + 3*h + h - 2*h + (1 + 4 - 4)*(5 + 0 - 2)*(-2 - 3*h + 2) as i*h + o and give i. -2 Rearrange (-2*b + 2*b + b)*(-3 + 2 + 4) - 1 - b + 1 - 3*b - 3*b + 5*b - 7*b + 31*b + 6*b to the form w*b + g and give w. 31 Rearrange 5*i - 23*i + 7*i + (-5 + 2 + 2)*(0*i + 0*i + i) + 2*i - 5*i + i + (2 - 1 + 1)*(0*i + 6*i - 4*i) to n + q*i and give n. 0 Rearrange -5 - 148*i + 163*i + 5 + 3*i**2 to f + n*i**2 + u*i and give n. 3 Rearrange (35*d**3 + 3*d**3 - 3*d**3)*(0*d - 4*d + 5*d)*(-4 + 3 - 1) to the form n*d**3 + z + p*d + q*d**2 + x*d**4 and give x. -70 Rearrange 49*w + 10 - 100*w + 48*w to the form x*w + q and give x. -3 Express 3*q**3 - 16 - 2*q**3 - 3*q**2 + 18 + 4*q**2 as g*q**3 + o + n*q**2 + c*q and give g. 1 Express (-7*u + u + u)*(u - u + 2*u) - 2*u**2 + 0*u**2 + 0*u**2 in the form w*u**2 + h + f*u and give h. 0 Express -5*t**2 + 4*t**4 - 7*t**4 - t**3 + 4*t**4 + t + 0*t as b*t**4 + z*t**3 + h*t + u + j*t**2 and give j. -5 Express 7 + 2*b - 8 - 3 as i*b + u and give u. -4 Rearrange (-13*y**2 + 19*y**2 - 8*y**2 - 1)*(-y**2 + y - y) to n + s*y**4 + k*y**2 + i*y**3 + x*y and give k. 1 Express -2*r**2 - 6*r**2 - 9*r**2 as d + o*r + t*r**2 and give t. -17 Express (s + 2*s + 8*s)*(-5 + 1 + 2)*(6 - 4 - 3) in the form u + v*s and give v. 22 Express (-4 + 0 + 3)*((-2*s + 0*s - 2*s)*(4 - 4 - 2) - 2*s - s + s) in the form a + w*s and give w. -6 Rearrange -6*x**3 - 4*x**3 - 2*x + x**4 + x**2 - 3*x**4 to r + k*x**4 + c*x**2 + l*x + q*x**3 and give l. -2 Rearrange -6*j + 6*j + 24*j**2 - 48*j**2 to i + y*j**2 + m*j and give y. -24 Express (-7*z**2 - 3*z**2 + 6*z**2)*(-3*z + 2*z**2 + 3*z) as u + w*z**4 + o*z**3 + c*z + v*z**2 and give w. -8 Rearrange 19*g**3 + 10*g - 18*g**3 + 3*g**2 - 25*g to o*g**3 + k*g + t + l*g**2 and give o. 1 Express -77*j**4 - 13 + 15 - 12*j**3 + 74*j**4 as s + f*j + x*j**3 + n*j**4 + u*j**2 and give x. -12 Rearrange 27*d**2 + 4*d + 11*d - 28*d**2 to v*d**2 + b*d + l and give b. 15 Express (s**2 + 5*s**2 - s**2)*((s - 5*s + 3*s)*(5 - 1 - 2) + 3 + s - 3) as o + i*s**3 + q*s + n*s**2 and give i. -5 Rearrange a**2 - 3*a**2 - 28*a**3 + 38*a**3 to the form l*a**3 + c + u*a + g*a**2 and give g. -2 Rearrange -3*k**3 + 222*k + 1 - 223*k + 4*k**3 to the form j + n*k + y*k**2 + x*k**3 and give j. 1 Express (62*s**2 - 284*s**2 - 129*s**2 - 108*s**2)*(-s + 0 + 0) in the form b*s**3 + g + h*s**2 + v*s and give b. 459 Express (m**2 + 10*m**2 + m - 7*m**2)*(-1 + 0 - 4 + (-1 + 1 - 1)*(-1 - 2 + 5)) as r*m**2 + c*m + g and give c. -7 Express (-3*c**2 + 5*c**2 - 3*c**2)*(-c + c - 6*c) in the form z + d*c + j*c**3 + i*c**2 and give j. 6 Rearrange 2*r**3 + 17*r**2 - 15*r**2 + 0*r - 6*r to g + i*r + n*r**3 + l*r**2 and give l. 2 Rearrange (2 + 2 - 5)*(6*g**2 + 0 + 0)*(-20 - 9*g**2 + 20) to a*g**4 + n*g + h*g**3 + m*g**2 + t and give a. 54 Rearrange (1 - 1 - p)*(10 - 32 - 42) to c*p + w and give c. 64 Express -l + 2 + 2*l - 2*l + (-5 + 5 - 7*l)*(-3 + 6 - 2) in the form k + i*l and give i. -8 Rearrange 82 - 84 - 4*p**4 - 4*p - p**2 + 2*p**4 to d*p**4 + r*p**2 + l*p**3 + t*p + j and give d. -2 Rearrange -d + d - d**3 + 4*d**3 - 3*d**3 + d**3 + (-3*d + 3*d - d**2)*(d - 5*d + 3*d) - 2*d**3 + d**3 + 4*d**3 to t*d**3 + z*d**2 + h*d + r and give r. 0 Rearrange 62*y**2 - 62*y**2 - 5*y**3 - 6 to m*y**3 + d*y**2 + q*y + c and give c. -6 Express (-z**2 + 0*z**2 - 2*z**2)*(803 - 803 + 74*z) in the form o*z**3 + s*z**2 + f + p*z and give f. 0 Rearrange (2*r + r - r)*(-3*r + 3*r - r) + 2*r - r**2 - 2*r + 5*r - 8 - 2*r**2 - 5*r to the form w*r + q + m*r**2 and give m. -5 Express -i**2 + 2 + 3*i**3 - 2*i**2 + 9*i**2 - 4*i**3 in the form t*i**3 + v + x*i + z*i**2 and give t. -1 Express -44*o + 44*o + 2*o**3 - 4*o**3 + 5*o**3 + 0*o**3 + (-o**3 + 2*o**3 + 0*o**3)*(-1 + 3 - 1) in the form u + j*o**3 + z*o + l*o**2 and give j. 4 Express 5*k**2 - 12*k**2 + 10*k**2 + 2 + (-4*k + k + k)*(k + 3*k - 2*k) in the form r + v*k + g*k**2 and give r. 2 Rearrange (5 - 4 + 1)*(0*n - 4*n + 2*n)*(3*n**3 + 8*n**2 - 8*n**2) to the form t*n + m*n**4 + l + h*n**3 + j*n**2 and give m. -12 Express -2*n**2 + 25*n**4 + 16*n**4 - 39*n**4 + 5*n**3 as p + d*n**4 + v*n + s*n**3 + z*n**2 and give v. 0 Rearrange 3*h**3 + 6 - 6 - 11*h + h**4 + 0 to the form b*h**3 + u*h**4 + r*h**2 + n*h + i and give i. 0 Rearrange 18*o**2 + 16*o**2 + 2*o**3 + 3*o**4 - 24*o**2 - o**4 - 3 + o to the form v*o**2 + y + h*o**4 + a*o + k*o**3 and give a. 1 Rearrange (2 + 0 - 3 - 3*u)*(6 - 21 + 0) to x*u + y and give y. 15 Express -2*i - 8 - 44*i + 8 in the form y*i + p and give y. -46 Express 2*b**4 - b**2 + b**2 + (-2*b**2 + 0*b**2 + 4*b**2)*(5*b**2 - 2*b**2 - b**2) + 3*b**4 - 2*b**4 + 0*b**4 as a + s*b + v*b**3 + f*b**2 + c*b**4 and give c. 7 Rearrange 23*c + c**2 - 3*c**4 + 17*c - 5*c - 3*c to the form m*c**3 + y + a*c**4 + l*c**2 + n*c and give l. 1 Rearrange 0*p + 0*p - p**3 + (4*p**2 - 4*p**2 + 2*p**2)*(-129*p + 83*p + 73*p) to the form c + d*p**3 + k*p + f*p**2 and give d. 53 Express 2 + 8 + 3 - b + 12*b**2 + 2*b**4 - 14 in the form k + z*b + l*b**3 + q*b**4 + a*b**2 and give a. 12 Express 33*o**2 - 34*o**2 + o**3 + 9*o**3 + (2*o**2 - 4 + 4)*(0*o + 5*o - 4*o) in the form p*o + y + c*o**3 + i*o**2 and give i. -1 Express (3*q**3 - 4*q**3 + 2*q**3 + (q**2 + q**2 + 0*q**2)*(1 - 1 + 2*q))*(6*q + 5*q - 4
{ "pile_set_name": "DM Mathematics" }
9, -454012, -544743? -635436 What comes next: 106, 162, 120, -68, -450? -1074 What is the next term in 6139, 12213, 18287, 24361, 30435, 36509? 42583 What comes next: -119226, -238446, -357666, -476886? -596106 What is the next term in -2277, -2296, -2313, -2328, -2341? -2352 What is next in -24663, -98649, -221959, -394593, -616551, -887833? -1208439 What is the next term in 82544, 165125, 247706, 330287? 412868 What is next in -738, -1474, -2218, -2976, -3754, -4558? -5394 What comes next: -3296, -4648, -6000, -7352, -8704, -10056? -11408 What is next in 1085, 2182, 3309, 4472, 5677? 6930 What is the next term in -18544, -37162, -55768, -74356, -92920, -111454, -129952? -148408 What comes next: -145371, -145369, -145367? -145365 What comes next: -28783, -28785, -28785, -28783, -28779? -28773 What is the next term in 898, 760, 622, 484, 346? 208 What is next in -126433, -252859, -379285? -505711 What is the next term in -15629276, -15629277, -15629278, -15629279? -15629280 What is next in 13, -133, -281, -431, -583, -737? -893 What comes next: -5075582, -10151164, -15226746, -20302328, -25377910, -30453492? -35529074 What is next in 545342, 1090685, 1636028, 2181371? 2726714 What is next in -416, -1843, -4222, -7553? -11836 What comes next: 6902, 6954, 7102, 7394, 7878, 8602? 9614 What is the next term in -397231, -397227, -397223, -397219, -397215, -397211? -397207 What is next in 963, 2044, 3125, 4206, 5287, 6368? 7449 What is the next term in 10054, 19474, 28894? 38314 What is the next term in 335, 1299, 2889, 5105, 7947? 11415 What is next in 2522, 4833, 7156, 9497, 11862? 14257 What is the next term in -354, -960, -1972, -3390? -5214 What comes next: 3705, 7402, 11085, 14754, 18409? 22050 What is next in 120481, 120479, 120493, 120529, 120593? 120691 What is the next term in 48, 347, 1146, 2691, 5228? 9003 What comes next: -45917, -45918, -45919, -45920? -45921 What is next in -1744, -6977, -15692, -27883, -43544, -62669, -85252? -111287 What is the next term in -595, -709, -813, -907, -991? -1065 What is the next term in -5433, -5499, -5565, -5631, -5697? -5763 What is the next term in -307878, -307875, -307870, -307863? -307854 What is the next term in 15721, 31363, 47005, 62647, 78289, 93931? 109573 What is next in -6145, -6022, -5803, -5476, -5029? -4450 What is next in -30925, -30927, -30929, -30931? -30933 What comes next: -8223, -16400, -24565, -32712, -40835? -48928 What comes next: -16577, -16586, -16595, -16604, -16613, -16622? -16631 What is next in 215, 385, 529, 641, 715, 745, 725, 649? 511 What is the next term in 111, 245, 419, 627, 863? 1121 What is next in 265, 239, 213, 187, 161? 135 What is next in 176, 808, 1862, 3344, 5260? 7616 What comes next: 647, 812, 977, 1142, 1307? 1472 What is next in 34629, 34601, 34573, 34545, 34517, 34489? 34461 What comes next: -1182, -1303, -1428, -1557, -1690, -1827, -1968? -2113 What is next in 288, 81, -502, -1653, -3564, -6427, -10434, -15777? -22648 What is the next term in 3132, 6255, 9378, 12501, 15624? 18747 What comes next: 454147, 908293, 1362439? 1816585 What is the next term in -14701, -29696, -44689, -59680, -74669? -89656 What comes next: 225, 792, 1739, 3096, 4893, 7160, 9927, 13224? 17081 What comes next: 698, 642, 584, 524, 462, 398? 332 What is the next term in -2923, -3059, -3287, -3607, -4019, -4523, -5119? -5807 What is next in -369, -379, -389, -399, -409? -419 What is the next term in -7112, -14338, -21564? -28790 What is next in -23964, -23966, -23968, -23970, -23972? -23974 What is next in -263, 61, 607, 1381, 2389, 3637, 5131? 6877 What is next in 1770, 1051, 332? -387 What comes next: -8951, -8936, -8937, -8960, -9011, -9096? -9221 What is next in 541748, 2166997, 4875746, 8667995? 13543744 What is next in -213, -168, -123, -78, -33? 12 What is the next term in -256, -163, -74, 5, 68? 109 What is the next term in 1051049, 1051043, 1051033, 1051019, 1051001, 1050979? 1050953 What is the next term in 398, 639, 880, 1121, 1362? 1603 What comes next: -477, -853, -1229, -1605? -1981 What is next in 84123, 84131, 84149, 84177, 84215, 84263? 84321 What is next in 280, 651, 1268, 2131? 3240 What is the next term in 1188, 1200, 1226, 1272, 1344, 1448? 1590 What is next in -107, -280, -453, -626? -799 What is next in -38566, -38567, -38558, -38533, -38486? -38411 What is the next term in -4334232, -4334233, -4334236, -4334241, -4334248, -4334257, -4334268? -4334281 What is next in 1360, 2695, 4030? 5365 What is the next term in -65, -206, -345, -482, -617, -750, -881? -1010 What comes next: -5363, -5272, -5121, -4910, -4639? -4308 What is next in -2278, -2237, -2196, -2155, -2114, -2073? -2032 What is the next term in 2755, 11013, 24777, 44047, 68823, 99105? 134893 What is next in 50, 85, 96, 65, -26? -195 What is next in -45746, -91490, -137234, -182978, -228722? -274466 What comes next: -54268, -108545, -162836, -217147, -271484, -325853, -380260, -434711? -489212 What is the next term in -530, -1049, -1562, -2069? -2570 What is the next term in 2668, 5222, 7788, 10372, 12980, 15618, 18292, 21008? 23772 What is the next term in -66736, -266942, -600618, -1067764, -1668380? -2402466 What comes next: 1801, 1852, 1903, 1954? 2005 What is next in -2496, -2618, -2832, -3144, -3560, -4086, -4728? -5492 What is next in -2012440, -2012441, -2012442? -2012443 What is next in -7, -19, -61, -151, -307? -547 What is the next term in -292716, -292715, -292712, -292707, -292700, -292691? -292680 What comes next: -970, -3649, -8114, -14365? -22402 What comes next: -95931, -95929, -95927, -95925? -95923 What is next in 568, 1069, 1578, 2095? 2620 What comes next: -326, -395, -460, -521, -578, -631, -680? -725 What is the next term in -4421, -4484, -4547, -4610? -4673 What comes next: 7574, 7615, 7656? 7697 What is next in 810, 853, 924, 1023, 1150, 1305? 1488 What is the next term in 8306, 16597, 24890, 33185, 41482, 49781, 58082? 66385 What is next in 616, 1255, 1894? 2533 What is the next term in 29, -3, -43, -85, -123, -151? -163 What is next in 2106, 2090, 2064, 2028, 1982, 1926? 1860 What is the next term in -10483, -10460, -10433, -10408, -10391, -10388? -10405 What is the next term in 557614, 557612, 557610, 557608, 557606, 557604? 557602 What comes next: -945, -1028, -1231, -1608, -2213, -3100, -4323? -5936 What comes next: -2520, -2495, -2484, -2493, -2528, -2595, -2700, -2849? -3048 What is the next term in -50109, -100224, -150341, -200460, -250581, -300704, -350829? -400956 What is the next term in 384, 695, 1212, 1935, 2864? 3999 What comes next: -25024, -25009, -24978, -24925, -24844, -24729, -24574? -24373 What is the next term in 312, 608, 918, 1248, 1604, 1992? 2418 What is the next term in -14780, -29560, -44340, -59120, -73900, -88680? -103460 What is next in -109, -227, -365, -541, -773, -1079, -1477? -1985 What is next in 414, -378, -1696, -3540, -5910? -8806 What is the next term in 437, 820, 1203, 1586? 1969 What is next in -719, -2809, -6291, -11165, -17431, -25089, -34139? -44581 What is the next term in -2036, -4098, -6158, -8216, -10272? -12326 What comes next: 74113, 148223, 222333, 296443, 370553, 444663? 518773 What is the next term in 87683, 87688, 87695, 87704, 87715? 87728 What is next in 1564, 2223, 2882, 3541, 4200? 4859 What is the next term in 33, 507, 981? 1455 What is the next term in 1266, 2531, 3796? 5061 What is next in -1040, -4226, -9530, -16946, -26468? -38090 What comes next: -1349, -2060, -2771? -3482 What is next in 13797, 13770, 13695, 13548, 13305? 12942 What is next in -675604, -1351209, -2026814? -2702419 What is next in -283, -1270, -2919, -5230, -8203? -11838 What comes next: -92, -338, -736, -1286, -1988, -2842? -3848 What comes next: -12532, -50137, -112828, -200617, -313516, -451537, -614692? -802993 What is next in 13683, 27364, 41045, 54726, 68407, 82088? 95769 What is next in -5575, -5570, -5561, -5548? -5531 What comes next: 244631, 489264, 733883, 978482, 1223055, 1467596? 1712099 What is the next term in 6617, 6592, 6553, 6500? 6433 What comes next: -1401, -1326, -1259, -1206, -1173? -1166 What comes next: -4848, -4986, -5138, -5310, -5508, -5738, -6006, -6318? -6680 What is next in -252, -490, -718, -936, -1144, -134
{ "pile_set_name": "DM Mathematics" }
17). -217 Let j(f) = 840*f - 13527. Give j(16). -87 Let o(j) = j**2 - 365*j + 16320. Calculate o(52). 44 Let x(b) = 527*b - 7752. Determine x(16). 680 Let p(v) = v**2 - 173*v - 277136. What is p(-447)? 4 Let w(p) = -19696*p - 18723. What is w(-1)? 973 Let h(n) = -3*n**2 + 94557*n - 661832. What is h(7)? -80 Let z(p) = 22*p**2 + 610*p + 3203. What is z(-20)? -197 Let s(h) = 3*h**3 + 3*h**2 - 13*h + 18. Give s(0). 18 Let l(k) = -7*k**2 + 478*k + 3101. Calculate l(-6). -19 Let v(h) = -h**3 + 73*h**2 + 2090*h + 13. Calculate v(95). 13 Let m(p) = 3216*p**3 - 4*p**2 + 169*p - 166. Give m(1). 3215 Let o(i) = 10*i**3 - 8*i**2 - 17*i - 56. What is o(6)? 1714 Let v(b) = 23*b**2 + 214*b + 470. What is v(-6)? 14 Let x(i) = i**2 + 5858*i + 81859. Calculate x(-14). 43 Let v(x) = 6*x**2 - 1097*x - 15097. Determine v(-14). 1437 Let f(d) = d**3 - 146*d**2 + 1251*d - 50. What is f(9)? 112 Let s(i) = -5*i**3 + 3*i**2 - 3918*i - 7848. Calculate s(-2). 40 Let g(b) = -b**3 + 257*b**2 - 311*b + 14357. What is g(256)? 277 Let w(y) = -63*y**2 + 809*y + 60. Calculate w(13). -70 Let x(w) = -4*w**3 + 46*w**2 - 62*w + 423. Give x(11). -17 Let b(k) = 579*k + 6463. Calculate b(-12). -485 Let f(z) = 13*z**2 - 4503*z - 20933. Calculate f(351). 127 Let w(v) = -v**3 - 1488*v**2 - 45340*v - 252056. Determine w(-1457). 5 Let k(u) = -u**2 - 7109*u + 408459. Give k(57). -3 Let n(a) = -90*a**2 + 15*a + 25. Calculate n(-3). -830 Let l(h) = -5*h**3 - 5*h**2 - 2*h + 2. Calculate l(5). -758 Let r(q) = 6*q**3 - 1711*q**2 - 8407*q - 869. Calculate r(290). 1 Let q(f) = 7*f**3 - 82*f**2 - 2003*f - 130. Determine q(-12). 2 Let n(p) = 47*p**2 + 196*p - 1313. Determine n(7). 2362 Let t(a) = -577*a**2 - 153*a - 314. Determine t(-2). -2316 Let a(d) = -22248*d + 31681153. Determine a(1424). 1 Let t(p) = 2081238*p + 18731154. What is t(-9)? 12 Let l(r) = -5*r**2 + 35*r + 804. Calculate l(-15). -846 Let o(i) = -13*i**2 + 11464*i + 24574. Calculate o(884). -178 Let c(z) = -2*z**3 + 1253*z**2 + 107557*z + 1424. Determine c(703). 18 Let j(t) = -20*t**2 - 4277*t - 3488. Give j(-213). 133 Let m(g) = -205*g + 4363. Determine m(21). 58 Let k(n) = -691*n - 12710. Determine k(-18). -272 Let v(u) = -u**3 - 404*u**2 + 2811*u + 974433. Give v(-405). 3 Let i(o) = -23*o**2 - 2798*o - 20065. Calculate i(-114). -1 Let m(h) = -14*h**2 + 1387*h - 51. Give m(99). 48 Let h(a) = -84*a**3 + 16*a**2 + 30*a + 8. Give h(-2). 684 Let d(u) = 13605*u - 217682. Determine d(16). -2 Let d(s) = 6767*s - 252. Calculate d(0). -252 Let g(q) = 3*q**3 - 197*q**2 + 599*q - 4. Calculate g(3). 101 Let x(c) = -11*c**3 - 186*c**2 + 83*c + 1116. Calculate x(-17). -6 Let s(o) = -o**3 + 51*o**2 - 222*o + 8531. What is s(50)? -69 Let h(n) = -4675*n - 280598. Give h(-60). -98 Let u(y) = 9711*y - 48921. Calculate u(5). -366 Let n(r) = 2964*r**2 - 32611*r + 79. Calculate n(11). 2 Let i(v) = 76692*v + 460184. What is i(-6)? 32 Let h(c) = -74*c**2 - 156*c + 27. What is h(-2)? 43 Let k(w) = 261*w - 344. Calculate k(1). -83 Let x(r) = -260*r**2 + 416*r + 1897. What is x(-4)? -3927 Let q(k) = 8*k**3 - 103*k**2 + 78*k + 65. Give q(12). -7 Let o(w) = -14*w**2 - 198*w - 219. Give o(-13). -11 Let b(h) = -4*h**2 - 448*h - 10384. What is b(-82)? -544 Let m(f) = -f**2 - 928*f + 972819. Determine m(626). 15 Let h(i) = -8*i**3 + 214*i**2 + 44*i + 67. Calculate h(27). -203 Let i(f) = -176397*f - 176469. Calculate i(-1). -72 Let i(l) = 3*l**2 - 29075*l + 174403. Calculate i(6). 61 Let a(o) = -o**3 - 133*o**2 - 333*o + 7410. What is a(-130)? 0 Let r(v) = -2*v**2 - 64*v - 537. What is r(-11)? -75 Let t(p) = 1154*p + 13866. Calculate t(-12). 18 Let s(r) = -r**3 + 8*r**2 - 337*r + 1957. Give s(6). 7 Let p(l) = 1902*l - 32352. Calculate p(17). -18 Let x(i) = -15*i**3 + 90*i**2 - 63*i + 353. Calculate x(6). -25 Let x(z) = -2157*z + 408159. What is x(189)? 486 Let w(s) = -3*s**2 - 7260*s - 43443. What is w(-6)? 9 Let p(t) = -3080*t - 49513. Calculate p(-16). -233 Let j(b) = 2*b**3 - 14*b**2 - 202*b + 1405. Give j(9). -89 Let x(a) = -20239*a + 10645707. Calculate x(526). -7 Let s(p) = 406*p**2 - 30*p - 15. Determine s(-1). 421 Let w(s) = 23*s**2 - 1264*s + 1196. What is w(54)? 8 Let k(t) = t**3 - 27*t**2 + 136*t + 61. Determine k(15). -599 Let q(c) = 138994*c - 972956. Give q(7). 2 Let h(q) = -75442*q + 678948. What is h(9)? -30 Let v(r) = 2*r**2 - 2597*r + 66080. What is v(26)? -90 Let g(l) = 7682*l + 706744. Determine g(-92). 0 Let i(d) = -31*d - 2623. Give i(-50). -1073 Let n(a) = 25*a**2 - 1947*a + 456. Determine n(78). 690 Let a(t) = -8*t**2 - 78*t + 203. Determine a(-13). -135 Let g(t) = t**3 + 187*t**2 - 1998*t + 296. What is g(10)? 16 Let s(g) = -g**3 + 9*g**2 - 26*g + 24. Give s(3). 0 Let q(v) = 27*v**3 - 16*v**2 - 21*v + 29. Give q(5). 2899 Let u(m) = -m**2 + 5001*m + 1197670. Give u(-229). 0 Let d(s) = s**3 + 10*s**2 - 456*s - 4206. Determine d(-9). -21 Let u(l) = -1140*l**2 - 14088*l - 4905. Determine u(-12). -9 Let b(j) = -3*j**2 - 195*j + 3016. Calculate b(13). -26 Let k(n) = 3416*n + 35593. Give k(-10). 1433 Let j(v) = -694*v + 144343. Give j(208). -9 Let c(b) = -7*b**2 - 3192*b + 12856. Calculate c(4). -24 Let n(m) = -303*m**2 - 5555*m + 3825. Calculate n(-19). -13 Let p(a) = 48378*a + 1402957. What is p(-29)? -5 Let a(u) = 4567*u + 13934. What is a(-3)? 233 Let u(h) = h**2 - 82*h + 1077. Calculate u(0). 1077 Let h(t) = -70*t + 14683. What is h(206)? 263 Let m(x) = -x**3 - 979*x**2 + 11268*x + 11031379. Determine m(-979). 7 Let w(u) = -4*u**3 + 21*u**2 - 763*u - 2488. Determine w(-3). 98 Let g(x) = 2*x**3 + 147*x**2 - 1402*x - 506. Give g(-82). 150 Let c(d) = 6*d**2 - 8944*d - 53611. Calculate c(-6). 269 Let d(f) = 771*f - 20044. Determine d(27). 773 Let z(l) = -44*l - 598. Give z(33). -2050 Let d(o) = -4*o**3 - 9*o**2 + 337*o + 3145. Give d(-10). 2875 Let d(y) = 42*y**2 + 3516*y + 6864. Give d(-2). 0 Let g(u) = 728*u + 101202. Calculate g(-139). 10 Let h(i) = -9*i**3 + 140*i**2 + 73*i + 60. Calculate h(16). 204 Let f(h) = -11*h**3 + 200*h**2 - 190*h + 6871. Give f(19). 12 Let l(b) = -38*b**2 - 907*b - 4473. Give l(-7). 14 Let s(t) = t**3 - 685*t**2 - 2735*t - 14494. What is s(689)? -25 Let m(k) = k**3 - 186*k**2 - 358*k + 66712. Determine m(186). 124 Let x(c) = 4*c**2 + 55*c + 11. Give x(8). 707 Let z(g) = 1783*g - 6911. Determine z(4). 221 Let b(j) = 354*j**2 + 2054*j + 1428. Calculate b(-5). 8 Let t(c) = -61*c - 9. Determine t(-9). 540 Let b(j) = -j**2 - 1277*j + 10262. Calculate b(8). -18 Let s(o) = 5442*o - 97922. Calculate s(18). 34 Let j(a) = 3*a**3 + 23*a**2 + 10*a + 22. Calculate j(-4). 158 Let r(f) = 477*f**2 + 9515*f - 498. What is r(-20)? 2 Let m(k) = 4558*k - 65286. What is m(14)? -1474 Let k(f) = 3*f**3 - 432*f**2 + 370*f - 53292. Determine k(144). -12 Let j(u) = -63*u**2 - 177524*u + 177524. Determine j(1). -63 Let m(p) = 20*p**3 - 24*p**2 + 127*p + 3. What is m(0)? 3 Let a(t) = 4*t**3 - 70*t**2 - 238*t + 723. What is a(20)? -37 Let n(v) = -v**2 - 691*v + 19341. Calculate n(27). -45 Let h(m) = -14*m**2 + 14*m - 120. Determine h(-6). -708 Let d(c) = -272280*c - 272292. Give d(-1). -12 Let v(j) = 1127847*j - 5639223. Determine v(5). 12 Let j(y) = 2*y**3 + 21*y**2 - 49*y - 187. Calculate j(5). 343 Let i(d) = 5*d**3 + 49*d**2 + 53*d + 87. What is i(-9)? -66 Let f(c) = 88*c**2 + 586*c - 295. Give f(-7). -85 Let l(d) = 91960*d - 1011554. Calculate l(11). 6 Let v(g) = -g**3 - 239*g**2 - 1402*g + 31. Calculate v(-6). 55 Let c(l) = -l**3 - 36*l**2 - 149*l + 262. Give c(-31). 76 Let u(a) = -a**3 + 3*a**2 - 305*a - 2625. Calculate u(-7). 0 Let a(n) = 487*n + 2391. Give a(-5). -44 Let f(t) = 11879*t - 1473026. What is f(124)? -30 Let p(s) = -s**3 + 7*s**2 - 7*s - 20. What is p(3)? -5 Let s(y) = y**2 + 5971*y - 10. Determine s(0). -10 Let s(v) = -739*v - 3541. Determine s(-5). 154 Let v(y) = 505*y**2 + 262*y + 571. What is v(-2)? 2067 Let a(x) = -2*x**3 - 22335*x**2 + 335478*x - 51. Calculate a(15). -6 Let v(k) = 2*k**3 - 1446*k**2 - 45174*k - 4514. Give v(753). 4 Let b(u) = -5*u**2 + 181*u - 291. Determine b(36). -255 Let f(j) = 2*j**3 + 638*j**2 - 645*j - 2198. What is f(-320)? -598 Let j(w) = -7*w**3 + 197*w**2 - 46*w + 87. Calculate j(28). -417 Let r(u) = 19*u**2 + 147*u + 188. Calculate r(-6). -10 Let f(p) = -1759*p - 43587. Determine f(-25).
{ "pile_set_name": "DM Mathematics" }
v - 4843 = -5*n + 5*v. List the prime factors of n. 3, 17, 19 Suppose 0 = 4*p - 189 + 201. Suppose -119 = a + 61. List the prime factors of (-4)/p*a/(-8). 2, 3, 5 Suppose -25*g + 29*g - 20 = 0. Suppose 215 = g*v - 10. List the prime factors of v. 3, 5 Let z(a) = a**3 + 9*a**2 + 2*a + 6. Let f be z(-8). Let i be 6/(-9) - 100/3. Let h = i + f. List the prime factors of h. 2, 5 Let z be (318/18)/((-1)/(-3)). Let o = 92 - z. List the prime factors of o. 3, 13 Suppose -5*h = 7*v - 2*v - 110, -4*v + 2*h + 82 = 0. List the prime factors of v. 3, 7 Suppose -g - 6*g + 1652 = 0. Let b = g + -138. What are the prime factors of b? 2, 7 Suppose 0 = -8*u + 41 + 23. Suppose -r = -k + u, k - 5*r - 19 = -3. Suppose -k*g = -369 + 51. What are the prime factors of g? 53 Let q(l) = l + 7. Let x(h) = -h**2 + 5*h - 2. Let v be x(4). Suppose -6*g + v*g = 0. List the prime factors of q(g). 7 Let u be (4 + -1)*69 - 1. Suppose -2*j + u - 52 = 0. List the prime factors of j. 7, 11 Let y be (-7 - -10)*3 - (3 + 0). Suppose -5*s - 84 = -y*s. List the prime factors of s. 2, 3, 7 Let c be 26/1*5/10. Let m = 2 + c. List the prime factors of m. 3, 5 Let p = 1000 + -457. Suppose -2*t = -3*n - 4*t + p, 0 = -5*t. List the prime factors of n. 181 Let c(o) = 277*o - 9. List the prime factors of c(2). 5, 109 Suppose 5*a = 5*o + 25, -3*o + 8 = 3*a - 1. Let l be 18/a*(-16)/24. List the prime factors of 11/l*36/(-4). 3, 11 Let w be 5*(-3)/(-12)*-8. Let o = w - -13. Let p(h) = 12*h + 6. List the prime factors of p(o). 2, 3, 7 Let z(l) be the second derivative of -13*l**3/6 - 43*l**2/2 - 12*l. List the prime factors of z(-15). 2, 19 Let g(b) = -3*b - 60. Let p be g(-18). What are the prime factors of (-3)/(-2)*16/p + 138? 2, 67 Let j be (-2 + 3)*(-250)/(-4)*4. Let z = -154 + j. What are the prime factors of z? 2, 3 Let w(r) = -r**3 - 13*r**2 - 10*r - 3. Let f be w(-13). Suppose 2116 = 13*g + f. List the prime factors of g. 3, 17 Suppose 5*f - 19 = 2*u, -f - 5*u + 0*u = 7. Suppose -2*a - 3*t = -143, f*a = -0*t + t + 187. List the prime factors of a. 2 Suppose 5 = 5*g - 2*t, 5*t - 1 = 24. Let r(c) = 2*c**2 + 4*c**2 + 4 - 6*c + 9*c**3 - 8*c**g. List the prime factors of r(-5). 59 Suppose 5*i + 0*l + 103 = -2*l, -3*i + 4*l - 41 = 0. Let s = -9 - i. Suppose s = q - 14. List the prime factors of q. 2, 3 Let f be 213 + 0 + 0 + -2. Suppose -f = -8*g + 77. List the prime factors of g. 2, 3 Let s = 779 - 162. What are the prime factors of s? 617 Suppose 3*t + t + 2*h = 0, -4*t = -4*h. Suppose -4*a - 20 = t, -4*u - 2*a = u - 470. What are the prime factors of u? 2, 3 Suppose -4*m = -m - 6. Suppose 0 = m*g - 2*s - 12, -3*s = -0*s. Suppose 0 = -q + 4*n - g + 39, -3*q - 3*n = -24. List the prime factors of q. 13 Suppose -4*m + 2089 = 5*p - 1485, 4*p - 5*m - 2892 = 0. What are the prime factors of p? 2, 359 What are the prime factors of 733/((-29)/3 + 10)? 3, 733 Suppose -2*j + 99 = p - 2, -j = -5*p + 505. Suppose 2*y = -2*l + 212, 2*l - p = -0*y - y. What are the prime factors of y? 3, 37 Let c(k) = -30*k + 16. List the prime factors of c(-9). 2, 11, 13 Let m be -4*(-1)/(-3)*(-3 + -3). Let d(v) = 13*v + 65. What are the prime factors of d(m)? 13 Suppose -4*w = -131 - 45. Let i be (-18)/24 - (-85)/(-4). List the prime factors of (-8)/w - 510/i. 23 Let u(x) = x**2 - 5*x - 4. Let g be u(6). Let j(c) = 7 - 8*c**3 + 6*c + 3*c**3 - 5*c**g + 3*c + 4*c**3. List the prime factors of j(-7). 2, 3, 7 Let u = -1109 + 1911. What are the prime factors of u? 2, 401 Let o(r) = 5*r**2 + 134*r - 93. What are the prime factors of o(-40)? 3, 283 Suppose -4*i - 5*s + 7106 = 0, -38*i + 1783 = -37*i - 2*s. What are the prime factors of i? 3, 593 Suppose 2*o - 26 = -5*y, y + 5*o - 31 = -3*y. Suppose -y*j + 55 + 149 = 0. List the prime factors of j. 3, 17 Suppose 5*f + 15 = 5*u, 0*f = -4*f + 2*u - 18. Let l(o) = -o - 570. Let r be l(0). What are the prime factors of (2/f)/(10/r)? 19 Suppose -7*c - 1360 = -o - 10*c, 5*c - 2716 = -2*o. List the prime factors of o. 2, 337 Suppose n + 205 = 6*n. What are the prime factors of (-42 + n)/((-66)/65 - -1)? 5, 13 Let v(f) = 425*f + 53. What are the prime factors of v(2)? 3, 7, 43 Suppose -w + 558 = 2*w. List the prime factors of w. 2, 3, 31 Suppose 2*c - 297 = -5*w, 2*c - 3*w - 607 = -2*c. Suppose 3*l = -2*j + c, 0*l + 145 = 2*j + 5*l. What are the prime factors of j? 2, 5 Suppose 4*v + 3624 = 4*a, 3 - 18 = 3*v. List the prime factors of a. 17, 53 Suppose n + n - 792 = 2*t, -4*n - 5*t = -1557. What are the prime factors of n? 3, 131 Let q = -395 + 772. List the prime factors of q. 13, 29 List the prime factors of ((-758)/(-4))/((-9)/(-18)). 379 Let r be (-6)/(-4)*(-2)/3. What are the prime factors of r*3/3*-21? 3, 7 What are the prime factors of (-12794)/(-12) - (-40)/48? 11, 97 Let j = 17 - 12. Suppose 5 + 2 = -f + 5*t, -3*f + 19 = -j*t. What are the prime factors of f? 13 Let q be (-28)/70 + (-13)/5. Let n be (-25 + -1)*(q - -2). Suppose -3*p = -n - 7. What are the prime factors of p? 11 Let k = 293 - 89. What are the prime factors of k? 2, 3, 17 Let d be (-4)/(-2) + (4 - 2). Suppose -d*g = -2*g - 154. List the prime factors of g. 7, 11 Suppose 5*b - 8 = 32. What are the prime factors of b/(-14)*2107/(-14)? 2, 43 What are the prime factors of 4/6*2 - (-12149)/3? 4051 Let z(w) = -5*w + 27. Let p be z(11). Let m be ((-42)/p)/(6/8). Suppose m*n + n = 168. List the prime factors of n. 2, 7 Suppose -4*n - 1466 = -3*w, 3*n + 1451 = 3*w + 2*n. What are the prime factors of w? 2, 241 Suppose -3*g + 0*g + 246 = 0. Let i = -36 + g. List the prime factors of i. 2, 23 Suppose -d + 8 - 1 = 0. Let m = d + -24. Let w = m + 40. What are the prime factors of w? 23 Let c(i) be the third derivative of i**6/5 - i**5/20 + i**4/12 - i**3/2 + 14*i**2. What are the prime factors of c(2)? 181 Let v be 5/10 + (-15)/2. Let k = v - -16. Suppose -3*p = b + k, 5*b + 2*p = 5*p + 27. List the prime factors of b. 3 Let o(t) = -5*t - 15. Let p(d) = -11*d**2 + 2*d - 1. Let a be p(1). Let r be o(a). Suppose -r = 2*y - 5*y - 2*b, 2*y = 2*b + 10. List the prime factors of y. 3 Let a(t) = t**3 + 9*t**2 + 2*t - 3. Let x = -9 - -9. Let p(m) = -m**3 - 8. Let q be p(x). What are the prime factors of a(q)? 3, 5 Let z = 48 + 108. Let k = -94 + z. List the prime factors of 2 - (-1)/2*k. 3, 11 Let l(p) = 3*p**2 + 4*p + 12. List the prime factors of l(8). 2, 59 Let s be (2 - -2)/((-2)/(-3)). Suppose 3*c + 0 = s. Suppose 4*i + c*a - 30 = 0, -4*i = -a - 6 - 9. What are the prime factors of i? 5 Suppose 2*n - 2*v = -7*v + 211, -4*v = -2*n + 256. What are the prime factors of n? 2, 59 What are the prime factors of 0 - 2 - (91 - 175)? 2, 41 Let n = 616 + 107. List the prime factors of n. 3, 241 Let h(y) = 3*y**2 - 7*y - 7. Let b be h(5). Let q = b + -69. Let f = 0 - q. What are the prime factors of f? 2, 3 Let m(p) = 18*p + 5. Let h be m(-2). Let w = h - -4. What are the prime factors of w*1/3*-1? 3 Suppose -2*f = 5*u - 15075, -9299 = -3*u - f - 253. List the prime factors of u. 7, 431 Let l(m) = m**2 - m + 3. Let z be l(8). Let b(d) = d**3 - d - 40. Let g be b(0). Let v = z + g. List the prime factors of v. 19 Let r be (1 - 134/3)*-12. Suppose -4*i + 2*s - r = 0, -5*i + s + 0*s - 655 = 0. Let q = 192 + i. List the prime factors of q. 61 Let v = 12 + -9. Let m = 5 + v. Suppose p - 9 = m. What are the prime factors of p? 17 Let z(k) = 0*k - 4*k - 3*k - 26 + 4*k. Let w be z(-12). Suppose d - w = -4*t, 2*t - 4*t - 5*d + 14 = 0. What are the prime factors of t? 2 Let n(a) = -a**3 - 5*a**2 + 1. Let d(l) = l**2 - l + 1. Let c be d(-4). Suppose y + v = -11, 0*v - 3*v - c = y. List the prime factors of n(y). 37 Let u = 48 - 36. What are the prime factors of 10*(18/u - (1 - 0))? 5 Let x = -29 + -22. Let w = x - -92. What are the prime factors of w? 41 Let h = 36 + -33. Suppose h*s = 2*s + 17. Let g = 20 - s. List the prime factors of g. 3 Let s(u) be the third derivative of u**5/30 - u**4/8 - 11*u**3/3 + 16*u**2. List the prime factors of s(9). 113 Let o(l) = -115*l + 1. Let k(j) = -461*j + 5. Let g(m) = 2*k(m) - 9*o(m). What are the prime factors of g(1)? 2, 3, 19 Suppose 33 - 1 = z. Let f = 41 - z. List the prime factors of f. 3 Let d(r) = -r + 21. Let c be d(18). Suppose -457 = 2*h - 7*h - c*q, 0 = 2*h + 3*q - 181. What are the prime fac
{ "pile_set_name": "DM Mathematics" }
f a tonne in kilograms? 1375 What is 36.38453 centuries in months? 43661.436 What is 49/4 of a tonne in kilograms? 12250 Convert 1438.297 decades to millennia. 14.38297 How many months are there in nineteen quarters of a decade? 570 What is five quarters of a meter in millimeters? 1250 How many decades are there in 11/10 of a millennium? 110 How many millilitres are there in 49/4 of a litre? 12250 Convert 5.78819 decades to years. 57.8819 What is 281549.8 decades in months? 33785976 What is six fifths of a hour in seconds? 4320 How many kilometers are there in 47703.43 micrometers? 0.00004770343 How many seconds are there in 13/4 of a minute? 195 What is seventeen halves of a day in hours? 204 Convert 1167.013 centuries to millennia. 116.7013 Convert 47.19229ug to milligrams. 0.04719229 How many centuries are there in three fifths of a millennium? 6 How many nanograms are there in 0.140499 grams? 140499000 Convert 95.37151 grams to nanograms. 95371510000 How many nanoseconds are there in 19/4 of a microsecond? 4750 What is 254923.2ml in litres? 254.9232 What is 42.19061 minutes in microseconds? 2531436600 How many months are there in four fifteenths of a century? 320 Convert 177.461 minutes to milliseconds. 10647660 How many centuries are there in 3/5 of a millennium? 6 How many millilitres are there in 2307.996l? 2307996 Convert 515777.7cm to nanometers. 5157777000000 How many micrometers are there in 1/16 of a centimeter? 625 How many minutes are there in 3/40 of a day? 108 Convert 681881.4l to millilitres. 681881400 Convert 21.251412 minutes to weeks. 0.002108275 How many micrometers are there in 5/8 of a millimeter? 625 What is 2/125 of a millennium in months? 192 What is 18/5 of a millennium in years? 3600 What is seven eighths of a gram in milligrams? 875 Convert 2486.303 decades to millennia. 24.86303 What is three fifths of a millennium in years? 600 Convert 26.52835 kilograms to nanograms. 26528350000000 How many millilitres are there in twenty-nine halves of a litre? 14500 What is 3/16 of a kilometer in centimeters? 18750 What is 3/10 of a kilogram in grams? 300 What is fourty-one halves of a century in years? 2050 How many micrograms are there in 650.241kg? 650241000000 What is 7/8 of a centimeter in micrometers? 8750 How many grams are there in one quarter of a kilogram? 250 What is 1/5 of a kilometer in meters? 200 What is 1/5 of a litre in millilitres? 200 How many microseconds are there in three eighths of a millisecond? 375 How many millilitres are there in seven quarters of a litre? 1750 How many decades are there in 183.9567 centuries? 1839.567 How many nanometers are there in 518.9415 centimeters? 5189415000 How many micrometers are there in 0.7489655 millimeters? 748.9655 What is twenty-seven fifths of a hour in seconds? 19440 How many hours are there in seven eighths of a week? 147 What is fourty-six fifths of a litre in millilitres? 9200 How many centimeters are there in five quarters of a meter? 125 What is 45/2 of a litre in millilitres? 22500 How many kilometers are there in 19.6221cm? 0.000196221 How many meters are there in 6.504771km? 6504.771 How many meters are there in 6034.721km? 6034721 What is 4236.197 millennia in years? 4236197 How many meters are there in 29/5 of a kilometer? 5800 Convert 479658.8 centuries to decades. 4796588 Convert 84427.08t to micrograms. 84427080000000000 How many millimeters are there in 81964.82 centimeters? 819648.2 What is 12/25 of a litre in millilitres? 480 How many milligrams are there in 6516.737ng? 0.006516737 What is 83876.56 nanoseconds in seconds? 0.00008387656 What is 1/5 of a kilogram in grams? 200 What is 8/15 of a hour in minutes? 32 How many centimeters are there in 9662.355 micrometers? 0.9662355 How many seconds are there in 6/5 of a minute? 72 What is 60.4008g in kilograms? 0.0604008 How many millimeters are there in three fifths of a meter? 600 What is 17588625.39s in weeks? 29.081721875 What is 5.122533l in millilitres? 5122.533 What is 5480.652 micrometers in centimeters? 0.5480652 What is sixty-three eighths of a litre in millilitres? 7875 How many kilograms are there in 29/2 of a tonne? 14500 How many minutes are there in 58/3 of a day? 27840 How many decades are there in 41/2 of a millennium? 2050 What is 61604.47 grams in tonnes? 0.06160447 What is 407.5447 grams in kilograms? 0.4075447 What is 974.4842 kilograms in grams? 974484.2 What is nineteen quarters of a meter in millimeters? 4750 What is fifty-three quarters of a hour in minutes? 795 How many seconds are there in 2/27 of a day? 6400 What is 0.2681671 minutes in nanoseconds? 16090026000 What is 1.908392 milliseconds in microseconds? 1908.392 Convert 95.94917ms to seconds. 0.09594917 How many months are there in seven sixths of a century? 1400 What is thirteen fifths of a litre in millilitres? 2600 How many centuries are there in seventeen halves of a millennium? 85 What is 15/4 of a microsecond in nanoseconds? 3750 How many nanoseconds are there in 5/4 of a microsecond? 1250 How many millilitres are there in 7/4 of a litre? 1750 How many millilitres are there in one tenth of a litre? 100 What is 7/8 of a kilogram in grams? 875 How many millilitres are there in 5471.102 litres? 5471102 How many millimeters are there in three tenths of a centimeter? 3 Convert 8779.89 decades to months. 1053586.8 How many centuries are there in 177009.4 years? 1770.094 Convert 7.250771 millimeters to micrometers. 7250.771 How many kilograms are there in 8697.886mg? 0.008697886 How many milligrams are there in 11/8 of a gram? 1375 What is 21/5 of a kilogram in grams? 4200 Convert 0.9475437 tonnes to nanograms. 947543700000000 What is 5312.46mg in kilograms? 0.00531246 How many months are there in seven thirds of a millennium? 28000 Convert 46960.57 seconds to microseconds. 46960570000 Convert 22.71701 seconds to milliseconds. 22717.01 How many kilograms are there in fourty-five halves of a tonne? 22500 How many millilitres are there in 25/2 of a litre? 12500 Convert 242.6586 kilometers to nanometers. 242658600000000 What is 2/125 of a gram in micrograms? 16000 Convert 440832.2cm to nanometers. 4408322000000 Convert 0.6861665ml to litres. 0.0006861665 What is 8/3 of a week in hours? 448 Convert 86581.29ml to litres. 86.58129 What is 1/6 of a century in months? 200 What is seven halves of a litre in millilitres? 3500 What is 0.6928925cm in millimeters? 6.928925 What is 2/21 of a week in minutes? 960 How many milligrams are there in 13/8 of a gram? 1625 What is 1/5 of a litre in millilitres? 200 What is 98187.39 seconds in days? 1.136428125 Convert 6257.617ml to litres. 6.257617 What is 1/10 of a centimeter in millimeters? 1 What is twenty-five halves of a microgram in nanograms? 12500 How many kilograms are there in 1/4 of a tonne? 250 How many millimeters are there in 0.9907878 nanometers? 0.0000009907878 How many months are there in one tenth of a century? 120 How many millilitres are there in sixty-one halves of a litre? 30500 Convert 81.87103 tonnes to kilograms. 81871.03 How many months are there in twenty-nine sixths of a decade? 580 How many months are there in 52330.08 centuries? 62796096 How many grams are there in 27/5 of a kilogram? 5400 How many millilitres are there in twenty-seven halves of a litre? 13500 How many centuries are there in 1/5 of a millennium? 2 How many millilitres are there in eleven eighths of a litre? 1375 What is 7/8 of a centimeter in micrometers? 8750 Convert 240.32907 seconds to minutes. 4.0054845 How many tonnes are there in 861.9513 micrograms? 0.0000000008619513 How many millimeters are there in 25/2 of a meter? 12500 How many centimeters are there in fifteen quarters of a meter? 375 What is 6.771366 centimeters in micrometers? 67713.66 What is eleven halves of a kilometer in meters? 5500 Convert 196.6954 decades to months. 23603.448 What is seven quarters of a tonne in kilograms? 1750 What is 0.0961543 hours in microseconds? 346155480 How many milligrams are there in 71.75099 kilograms? 71750990 How many milligrams are there in 54/5 of a gram? 10800 What is 0.2608268 millilitres in litres? 0.0002608268 What is 7183.623 weeks in hours? 1206848.664 What is 2.466779 litres in millil
{ "pile_set_name": "DM Mathematics" }
= -9 - -20. Let f be c(w). Which is smaller: f or g? g Suppose p = -4*k - 57, -11*p + 13*p - 68 = 5*k. Suppose 4*m - 2*m = -28. Let i = k - m. Does i = 0? True Suppose -4*n + 128 = -9*n + y, 3*n = -y - 80. Is -27 greater than n? False Let w = -76 + 77. Suppose -l + 4*v - 8 = 0, -w + 5 = 2*l + 2*v. Is 1/7 >= l? True Let x = -336917 - -218549. Let s = -945299/8 - x. Let c = s + -206. Is c > 0? False Let m = -2/5881 - 629057/617505. Let l = m + 11/15. Suppose 0 = 2*i + 2. Is l equal to i? False Let p = -160/7 - -9746/427. Are 1 and p unequal? True Suppose 343*q - 367*q - 4080 = 0. Are q and -168 nonequal? True Suppose -4*v - 4*d = 8260, v = -0*v + 2*d - 2065. Let t = v - -452237/219. Which is bigger: -1 or t? t Let k(w) = -w**3 + 5*w**2 - 28*w + 16. Let v be k(11). Does -1018 = v? True Let t be 243/(-45) + 5 - 57/5. Are -13 and t equal? False Suppose 2*m = 5*m. Suppose 9*d - 4*d + 70 = m. Is -15 < d? True Let f = 181 + -198. Let q(w) = 3*w**3 + 2*w**2 + 3*w + 3. Let y be q(-2). Is y <= f? True Let o(p) = p - 1. Let r be o(4). Suppose z = r*z. Which is smaller: -2/31 or z? -2/31 Let m = -18 + 3. Let g = 26 + m. Let h = g - 13. Is h not equal to -2? False Let m(q) = 5*q - 9 + 2*q + 3*q - 4*q. Let g be m(2). Suppose g*z - 3 = 6*z. Is z less than or equal to 3/14? True Let m(p) = p - 16 + 28 - 14. Let t be m(8). Is t at least as big as 11? False Let v be (-2)/9 + 2692/(-36). Let i = -1127/15 - v. Let q(r) = r**3 - r**2 - r + 1. Let b be q(0). Which is greater: b or i? b Let r be (728232/34680 - 21)/((-6)/5). Is r <= -1? False Let o = 1.95 - 2.95. Is 153 smaller than o? False Let w(k) = k**3 - 4*k**2. Let m(d) = -4*d - 12. Let a be m(-4). Let s be w(a). Which is smaller: 2/113 or s? s Let r = -47 - -30. Let a = 16 - 32. Which is greater: r or a? a Let h(f) = 6*f**2 - 6*f - 33. Let n be h(-7). Suppose 0 = -8*d - n + 95. Is d != -26? False Let l = -812 + 814. Let d be 90/(-4) + (-7)/(-14). Is d >= l? False Suppose 0 = 5*q - 5. Suppose -q = -3*a - b, -b + 1 + 0 = 0. Are -5 and a nonequal? True Let p = -93 - -144. Let y = p + -58. Are y and 1 unequal? True Let c = -613 - -609. Is 96 smaller than c? False Let d = 1228/8985 - 2/599. Do d and -0.46 have the same value? False Let x(z) = 0*z**2 + 2*z - 8 + 5*z + z**2 + 0*z. Let n be x(-8). Which is bigger: n or 2/67? 2/67 Let r = -65 - 72. Let c = r + 138. Is -3/16 smaller than c? True Let m = 14 + -12. Let f be 12/m*(-34)/(-4). Let s be -2 - ((-96)/f - 0). Is s less than or equal to 1? True Let s = 129 - 129.8. Is -1/4 at least s? True Let o(r) = r**3 + 5*r**2 - 10*r - 5. Suppose -7 = g - 4*w, 3*g + 2*w + 20 = -1. Let j be o(g). Let q = j + 1355/41. Which is bigger: q or -1? q Let n = -402 - -401.9. Let a(k) = -3*k + 2. Let i be a(-2). Are i and n equal? False Let z = 4.64 + -4.3. Let l = z + 13.66. Let n = -14.1 + l. Is n at most as big as 9? True Suppose -4 = -3*b + 2. Suppose 0 = l + 4*o + 10, 0 = -b*l + 3*o - 19 - 34. Let z = l - -21. Which is greater: -2 or z? z Let o be (-4 - 12975/(-3168)) + 8/(-84). Which is greater: 0 or o? o Let i be (-5 - -6) + (-9)/3. Let w be ((-56)/(-10))/i - -2. Is w less than or equal to 1/6? True Let h be (-4)/(1024/24)*(-21)/18. Is 0 less than or equal to h? True Suppose -2*g = 29 - 19, 2*g + 20 = 5*x. Which is smaller: 80/29 or x? x Suppose 6*s - 5*l = s - 1495, -s - 5*l - 281 = 0. Is -297 greater than s? False Let q = -0.14 - -0.04. Let o(l) = l**2 + 4*l + 6. Let m be o(-4). Let g be (m/10)/(8/(-10)). Do g and q have different values? True Let z be ((440/(-8170))/(-11))/(-1). Is -1 at least as big as z? False Let h(w) = 0*w + 0*w - 32*w**3 - w**3 + 1 - 2*w**2. Let b be h(-1). Let o = -161/5 + b. Do o and -4 have the same value? False Let m = 445 - 264. Which is greater: 182 or m? 182 Let l = -97/9 + 31/3. Is l greater than or equal to -15? True Suppose -2 = 2*d - 10. Suppose -d*l = -7*l. Suppose -7 = -l*s + s. Are s and -7 unequal? False Let l(x) = -x**2 - 24*x - 48. Let i be l(-22). Are i and 0.03 nonequal? True Suppose -4*p = -2*b + 16, 47 = -3*b - 4*p + 31. Which is smaller: b or 13/29? b Let b be (-4 - -3)*-1*93. Let z = -61 + b. Let t = z - 31. Which is greater: t or 0? t Let w = -399.6 + 400. Is w greater than 28? False Suppose h = -0*h + 2. Let c = 2 - h. Let s be (-5 - -4)*0 + 2/18. Which is smaller: c or s? c Let i = 36 - 44. Let b(c) = c**3 + 2*c**2 - 2*c - 4. Let m be b(-3). Is m at most as big as i? False Let t = 56 + 10. Let g = t + -68. Which is smaller: 17 or g? g Let c = -70012/39 - -1795. Is -1 at least c? False Let l = 0.18 + -0.08. Let k = 43.81 + 0.19. Let v = k + -25. Which is greater: l or v? v Let u(l) = 3 + 8*l - 5*l - 2*l. Let d be u(3). Suppose 0 = -18*g + 21*g + d. Which is smaller: g or -3? -3 Let w(z) = -123*z. Let s be w(-2). Let v = s + -1742/7. Which is bigger: -3 or v? v Let o be (-470)/(-525) + 2/(-21). Let h be -3*(4/6 + -2). Suppose -h*d = -d - 3. Is o smaller than d? True Let l = -213 - -208. Let g = 0.32 - 0.3. Is l < g? True Let o = -0.047 + 0.002. Let i = -0.055 + o. Which is greater: 34 or i? 34 Let o = -631 - -528. Which is greater: o or -99? -99 Let y be (4 - (76 + 0))/1. Let r = -293/4 - y. Is 0 equal to r? False Let n(a) = -a**3 - a**2 + 3*a + 2. Let q be n(-1). Let s = -61 - -27. Is s < q? True Let s be (0 + -17)*(8 + (-3 - 0)). Suppose 24*n - 25*n - 86 = 0. Is s smaller than n? False Let b = -5 - -5.2. Let f = 2.2 - b. Which is smaller: f or -22/5? -22/5 Let v be (-57)/(-12) - (-4)/16. Suppose 0 = -v*u + 25 + 35. Let h = -9 + u. Is 1 less than h? True Let d be -1 + 1 - 2/5. Suppose 0 = -w - w - 104. Let c be (-86)/w - (-32)/(-208). Is d < c? True Suppose 2324 = 19*q + 310. Is q <= 108? True Let q(w) = -w**2 - 32*w - 82. Let n be q(-30). Which is smaller: 0.03 or n? n Let b = -363 + 363. Is b less than or equal to -1/218? False Suppose 4*y - 23 = -3. Suppose p - y*t = 4*p - 29, -2*p - 3*t = -18. Are 15/7 and p nonequal? True Suppose -3260 = -4*b - 3152. Is b >= 28? False Let c = -72 + 30. Let f be 7/12*3/c*2. Are -1/3 and f unequal? True Let w = 181 + -196. Is -16 greater than w? False Let h = 15/79 - 1927/10981. Which is smaller: 1 or h? h Let u = -69 + 36. Let f = 23 + u. Which is bigger: -1 or f? -1 Let j = -13/24 - -37/56. Is 1 <= j? False Let b = 1559.927 + -1559. Is b at least -1? True Let t = 16 - 11. Suppose 7*y - 4*y + 2 = -t*k, -4*k + 1 = 5*y. Let o be 238/(-68)*(-8)/(-14). Is o at most as big as y? True Let o be (1 + 3/(-2))*16/(-44). Let a(r) = -r**2 + r. Let n be a(5). Let x be 4/(-6)*(-30)/n. Which is bigger: o or x? o Let j(d) = d**3 - 12*d**2 - 11*d - 16. Let a be j(13). Which is bigger: 22 or a? 22 Let m = 63 + -62. Let l be 72/(-3)*(43/45 - m). Which is smaller: 0 or l? 0 Let w(r) = -r**3 - 4*r**2 + 5*r + 3. Let f be w(-5). Let u = 155/102 + -1/51. Which is smaller: u or f? u Let y = -124 - -123.94. Is 5 >= y? True Let p(u) = u**2 - 16*u + 19. Let s(t) = -2*t**2 + 31*t - 38. Let y(l) = 11*p(l) + 6*s(l). Let c be y(8). Is -4 at most as big as c? True Suppose 2*s - 14 + 56 = a, a = 4*s + 46. Does a = 37? False Let f = -50 - -50.7. Let c = -27 - -25. Does c = f? False Let y(s) = 12*s**2 - 30*s + 1. Let n be y(6). Which is greater: n or 507/2? 507/2 Let i = -0.0183 - -7.6083. Which is bigger: i or 0? i Let y be (4/6)/(9 + 0). Let o be 6/9*(3180/(-8))/(-5). Let g = -52 + o. Is y at least as big as g? False Let x = 0.037 + -31.037. Let a = -18 - -20. Which is greater: x or a? a Let j = -0.094 - 51.906. Let c = 60 + j. Which is greater: 1 or c? c Let p = -0.25 + -0.3. Let c = 0.25 + p. Which is smaller: c or 4? c Let p(i) = -i**3 + i**2 - 35*i - 142. Let j be p(-4). Is j at least 14? True Let a be (1/12)/(2/44). Suppose 4*i - 5*i - 23 = -5*v, -4*i - 2 = -2*v. Suppose -z - 2*k + v = -8, -4*k = -3*z - 11. Which is smaller: z or a? a Let f = 29 - -3. Suppose 17 + f = c. Let j be c/(-504) - (-1)/(-8). Is 0 >= j? True Let s be 18/(-111)*4/(-24)*3. Is -0.04 > s? False Suppose 0 = o + 2, -h + 3*o + 3 = o. Let p be (1/(-1 - 0))/h. Let k be (-6)/(-6)*(6 + -5). Is p greater than or equal to k? True Let g = 1.9 + -2. Let b = -72.89 - -73. Which is greater: g or b? b Let u = -7283 - -7273. Let p(n) = n**2 + 7*n - 3. Suppose -z = 4*z + 2*x + 30, -6 = z - 4*x. Let a be p(z). Which is greater: a or u? a Let v = -24 - -23.924.
{ "pile_set_name": "DM Mathematics" }
= -8*z. Calculate b(v(n)). 40*n**2 Let l(h) = 3 + 3*h - 3. Let s(j) be the second derivative of 7*j**3/2 - 1067*j + 1. Give l(s(x)). 63*x Let t(j) = 6*j - 3. Let y be t(2). Let d be 1*(-6)/2*(-8)/12. Let v(w) = 11*w - y*w**d + w**2 - 11*w. Let p(z) = -z**2. Calculate v(p(h)). -8*h**4 Let b(i) = i**2. Let l(t) = 3*t. Let k(n) = n - 1. Let x(o) = -42*o + 36. Let j(v) = 36*k(v) + x(v). Let m(a) = -3*j(a) - 7*l(a). Determine b(m(d)). 9*d**2 Let g(d) = d**2 - 2*d + 3. Let b be g(2). Suppose -u - b*u + 8 = 0. Let q(w) = -4*w**u + 8*w**2 - 6*w**2. Let h(j) = -3*j. Calculate h(q(p)). 6*p**2 Let j(f) = -2*f. Let c(m) = 2240134*m. Give j(c(x)). -4480268*x Let k(r) = -2*r**2 + 410*r. Let v(q) = 2*q. Calculate k(v(f)). -8*f**2 + 820*f Let m(t) = -6*t. Suppose l = 12 + 5. Let o(a) = l - 8 + 5*a - 9. Determine m(o(g)). -30*g Let x(r) = -4*r**2 + 11*r**2 - 5*r**2. Let a(p) = 6456*p + p**2 - 6467*p - 2*p**2. Determine a(x(w)). -4*w**4 - 22*w**2 Let f(m) = -2*m. Let t(i) = 691817*i**2. Determine t(f(r)). 2767268*r**2 Let l be (-2 + 0 - -3) + -7. Let f(j) = -j**3 - 4*j**2 + 8*j - 3. Let t be f(l). Let y(b) = -4*b + t*b - 5*b. Let a(o) = 2*o. What is a(y(k))? 24*k Let h(w) = -8324*w**2 - 2. Let r(j) = j**2. Determine r(h(g)). 69288976*g**4 + 33296*g**2 + 4 Let h(x) = -21*x. Let b(d) be the second derivative of 7*d + 0 + 0*d**2 - 1/2*d**3. Calculate h(b(w)). 63*w Let z(l) = 2*l**2 - 4. Let w(v) be the first derivative of 2*v**2 + 99. Give z(w(k)). 32*k**2 - 4 Let z(y) = 4*y. Let k(n) = 2105367*n. Calculate k(z(t)). 8421468*t Let t(m) = -3*m**2 - 3*m + 30. Let u(z) = 68*z. Determine t(u(n)). -13872*n**2 - 204*n + 30 Let n(b) = -3*b**2. Let m(r) = 245106*r. What is m(n(d))? -735318*d**2 Let t(x) = -10*x - 106. Let m(a) = 28*a + 2. Determine t(m(s)). -280*s - 126 Let i(q) = 6*q. Let s(k) be the first derivative of -k**2 + 26. Determine i(s(o)). -12*o Let m be (4 + 0)*(-38)/(-8). Let t = 21 - m. Let y(c) = -197*c**t - 5*c + 5*c + 179*c**2. Let n(x) = 2*x. Give y(n(g)). -72*g**2 Let d(k) = -1191709*k**2. Let q(m) = 4*m**2. Give d(q(i)). -19067344*i**4 Let m(a) = -42*a**2 - 3. Let b(n) be the second derivative of n**3/6 + 133*n. Calculate b(m(h)). -42*h**2 - 3 Let d(o) = -2*o**2 + 2*o + 1. Let c(w) = 6*w**2 - 4*w - 1. Let v(a) = -c(a) - 2*d(a). Let b(p) = p**2. Determine v(b(k)). -2*k**4 - 1 Let l(a) = a**2 + 2. Let u(k) = -6*k**2 - 11. Let o(j) = -11*l(j) - 2*u(j). Let d(v) = -3*v**2 + 38*v**2 - v + v. Give o(d(z)). 1225*z**4 Let r(z) = 2*z**2 + 15*z + 44. Let n be r(-5). Let s(i) = 7*i - 12*i + n*i. Let x(l) = -l. Determine x(s(f)). -14*f Suppose 0 = -9*a - 4*a + 13. Let d(k) = -k**3 + 2*k**2 + 2*k - 2. Let q be d(2). Let p(g) = -3 + q + a - g**2. Let c(l) = -7*l**2. Determine p(c(s)). -49*s**4 Let f(l) = l. Let v(a) = -148152*a**2. Calculate v(f(z)). -148152*z**2 Let v(y) be the first derivative of 152*y**3/3 - 170. Let s(z) = -2*z**2. Determine v(s(a)). 608*a**4 Let r(o) be the third derivative of o**5/30 + 22*o**2. Let p(f) = -44*f**2 + 82*f**2 - 43*f**2. Determine r(p(s)). 50*s**4 Let p(h) = 64*h**2 + 20*h + 3. Let k(i) = -i**2 - 4*i - 1. Let y(o) = -5*k(o) - p(o). Let g(d) = 2*d**2. Determine y(g(z)). -236*z**4 + 2 Let j(d) = -187*d**2 - 19*d + 2. Let o(r) = 32*r**2. Determine j(o(l)). -191488*l**4 - 608*l**2 + 2 Let t(p) = 4*p**2 + 4*p - 4. Let j(m) = -4*m - 1. Let l(r) = r. Let o(c) = -j(c) - 5*l(c). Let h(s) = -4*o(s) - t(s). Let z(q) = 2*q. Calculate h(z(w)). -16*w**2 Let k(f) = -18*f**2 + 21*f - 21. Let h(u) = 1 - 77*u**2 - u + 38*u**2 + 0*u + 40*u**2. Let g(i) = 63*h(i) + 3*k(i). Let x(m) = 4*m**2. Calculate g(x(n)). 144*n**4 Suppose 5*k - 5*b = -10, -b + 40 = -5*k + 50. Let m(a) be the first derivative of 0*a**2 - 9 - 2/3*a**k + 0*a. Let q(n) = -2*n. What is q(m(u))? 4*u**2 Suppose 0 = -2*o + 8, 0*o + 3*o = 5*g - 533. Let h(x) = -g*x + 2 - 2 + 0. Let w(u) = u. Give w(h(d)). -109*d Let t(d) = -14607 - d + 14607. Let j(p) = 17*p**2. Determine j(t(u)). 17*u**2 Let r(q) = -2 - 2 + 0 + 0 - 4*q. Let o(m) = -m**2. Give o(r(n)). -16*n**2 - 32*n - 16 Let s(f) = 9*f. Let r(b) = 8*b. Let n(v) = -6*r(v) + 5*s(v). Let c be ((-12)/(-3))/(-4)*-5. Let d(h) = -17*h + 17*h + c*h**2 - 6*h**2. What is d(n(l))? -9*l**2 Let q(x) = 35*x**2. Let i(b) = -2755*b. Give i(q(f)). -96425*f**2 Let o(f) = -2*f - 1. Let w(c) = -28*c - 6. Let d(y) = 79*y + 17. Let l(u) = 6*d(u) + 17*w(u). What is l(o(n))? 4*n + 2 Let t(p) = -19*p**2. Let q(h) = 9*h**2. Let d(m) = -5*q(m) - 2*t(m). Let w(r) be the first derivative of 3*r**2 - 7. Give d(w(i)). -252*i**2 Let y(o) = -138*o**2. Let u(z) = 5*z + 2. What is u(y(k))? -690*k**2 + 2 Let y(d) = -d**2 + 1. Let b(q) = 3*q**2 + 6. Let i(l) = -b(l) + 6*y(l). Let n(w) = -6*w + 13. Let m(o) = o - 2. Let x(p) = -39*m(p) - 6*n(p). Calculate x(i(c)). 27*c**2 Let h(x) = 59*x**2 + 63*x**2 + 59*x**2 - 244*x**2 + 65*x**2. Let c(j) = -22*j**2 + 1. Determine c(h(f)). -88*f**4 + 1 Let d(a) = 6*a**2. Let h(j) be the third derivative of 5*j**4/8 + j**3/6 - 349*j**2. What is h(d(y))? 90*y**2 + 1 Let f(k) = -k**2. Suppose -v + 9 = 2*v. Suppose 3*r + 2*r = 0, -r = -v*b + 54. Let c(n) = b*n - 3*n**2 - 18*n. Calculate f(c(m)). -9*m**4 Let k(x) = 359*x. Let s(c) = -4 + 4 - 54*c + 0 + 55*c. Give s(k(f)). 359*f Let j(i) be the second derivative of 20*i + 0*i**2 - 13/3*i**3 + 0. Let d(p) = -2*p. Calculate j(d(k)). 52*k Let n(t) = t**2. Let i(v) be the second derivative of 11/12*v**4 + 0*v**3 + 0*v**2 + 0 + 11*v. What is i(n(w))? 11*w**4 Let c = 1 - 1. Suppose 3*i - 9 + 3 = c. Let b(s) = -3*s**2 + s**i + 6*s**2 - 2*s**2. Let r(w) = 2*w**2. Determine r(b(a)). 8*a**4 Let m(i) = 3*i**2. Let l(x) = 22939*x**2. Give l(m(y)). 206451*y**4 Let w(o) = -1138*o**2. Let x(v) = 30909*v - 30909*v + 2*v**2. Give w(x(c)). -4552*c**4 Let i(o) = -481*o**2. Let l(c) = -28*c - 1. Determine i(l(g)). -377104*g**2 - 26936*g - 481 Suppose q + 4*q + 5*a + 15 = 0, 0 = -2*q + a + 9. Suppose -q*r + 9 = -r. Let u(z) = 20 + r*z - 34 + 14. Let l(m) = m**2. Determine l(u(k)). 81*k**2 Let l(t) = -14*t. Let y(u) = -619*u - 208. Give y(l(s)). 8666*s - 208 Let a(b) = -3*b. Let m(j) be the first derivative of -j**5/30 + 11*j**3/3 + 10. Let v(z) be the third derivative of m(z). Determine a(v(d)). 12*d Let x(d) be the second derivative of -d**4/3 + 469*d. Let u(q) = 5*q + 5. Let l(v) = 5*v + 4. Let w(s) = -5*l(s) + 4*u(s). Calculate x(w(n)). -100*n**2 Let f(j) = -5*j. Let t(s) = -2591*s + 12. Calculate f(t(g)). 12955*g - 60 Let v = -11 - -11. Suppose 2*f - 3*g - 768 - 188 = v, 476 = f - g. Let u(r) = -f + 472 + r. Let o(z) = 6*z. Determine o(u(d)). 6*d Let g(l) = -3*l - 37. Let h be g(-13). Let k(v) = v**2 + 0*v**2 + 0*v**2 + v**h. Let f(z) = 6*z**2. Calculate k(f(m)). 72*m**4 Let w(j) = 57*j**2 + 1123*j. Let y(m) = 2*m**2. Calculate w(y(i)). 228*i**4 + 2246*i**2 Let f(z) = -z**3 - 4*z**2 - 5*z - 4. Let v be f(-3). Let j(g) = v*g - 2*g - 2*g. Let c(b) = -4*b**2. Calculate j(c(d)). 8*d**2 Let r(x) be the third derivative of x**4/12 + x**2. Let t(f) = -16*f + 6*f + 21*f - 3*f. Calculate t(r(b)). 16*b Let h(u) = 1201*u**2. Let r(g) = -108*g. What is r(h(t))? -129708*t**2 Let a(c) = 989 - 989 + 19*c - 47*c. Let p(q) = -28*q. Calculate a(p(h)). 784*h Let v(m) be the third derivative of 3*m**4/8 - m**2. Let w(o) be the first derivative of -12 - 2/3*o**3 + 0*o + 0*o**2. Calculate v(w(i)). -18*i**2 Let s(r) = 3*r - 3*r**2 - 3*r + 7*r**2. Let x(p) be the first derivative of -p**5/120 - 4*p**3/3 + 4. Let h(g) be the third derivative of x(g). Give s(h(v)). 4*v**2 Let b(t) = -348 + 348 - 671*t. Let c(z) = -2*z**2. Give b(c(x)). 1342*x**2 Let l(w) = 4*w**2. Let r(i) = i**3 + 10. Let n(u) = -u**3 - 11. Let k(j) = -3*n(j) - 2*r(j). Let d(t) be the first derivative of k(t). Give d(l(b)). 48*b**4 Let j(h) = -h**2. Let g be -2 + (-3 - (1 - 8)). Let b(s) = -14*s + 7*s - 6*s**g + 6*s. What is j(b(n))? -36*n**4 - 12*n**3 - n**2 Let b(q) be the first derivative of 10*q**2 + 45. Let r(y) be the third derivative of y**4/24 - 3*y**2. Determine b(r(m)). 20*m Let q(s) = -24*s**2 + 9*s**2 + 21*s**2. Let f(r) = 21*r. What is f(q(m))? 126*m**2 Let h(v) = v**2 - 9*v + 3. Let b be h(9). Let r(f) be the first derivative of b + 0*f**2 + 0*f + 10/3*f**3. Let l(j) = j. Give r(l(c)). 10*c**2 Let h(y) = 701081*y**2. Let c(i) = 2*i**2. Determine h
{ "pile_set_name": "DM Mathematics" }
1/42*m**7 + 0*m**6 + 0*m + 0*m**3 + 0*m**5. Find the second derivative of s(d) wrt d. -60*d**2 Let k(p) be the first derivative of p**9/1008 - p**5/40 - 5*p**3/3 - 3. Let c(b) be the third derivative of k(b). What is the second derivative of c(o) wrt o? 60*o**3 Let v(p) be the second derivative of 2*p**7/105 - p**5/30 - 2*p**2 - 3*p. Let m(t) be the first derivative of v(t). What is the third derivative of m(q) wrt q? 96*q What is the derivative of 2 + 0 - 6 - 15*d**3 wrt d? -45*d**2 Suppose -8 + 43 = -5*c. Let g = c + 10. What is the derivative of -2*o**g - o**3 - 2*o**4 + 3*o**3 - 3 wrt o? -8*o**3 Let y(p) be the second derivative of 5*p**3/6 + p**2 + 6*p. What is the derivative of y(t) wrt t? 5 Let u = -2 - -4. Find the third derivative of 3*h**5 + 5*h**4 + h**u - 5*h**4 wrt h. 180*h**2 Let d(a) = 17*a**3 + 2*a**2 - 2*a - 12. Let p(t) = 34*t**3 + 5*t**2 - 5*t - 24. Let y(m) = -5*d(m) + 2*p(m). Differentiate y(g) wrt g. -51*g**2 What is the second derivative of 25*c**5 - 9*c + 3*c + 21*c wrt c? 500*c**3 Let t(h) be the first derivative of h**6/40 + h**4/24 - h**2 + 1. Let r(d) be the second derivative of t(d). What is the second derivative of r(k) wrt k? 18*k Suppose -2*f = -5*g + 2*f + 4, 0 = -3*g + 5*f - 8. Suppose -4*v = -g - 4. Differentiate 2*k**2 + 1 + 5*k**2 - 4 - 4*k**v with respect to k. 6*k Let d = -8 + 6. Let b = 1 - d. Find the second derivative of -2*q**3 + 2*q**3 + q - q**b wrt q. -6*q Let l(n) = n**4 + 3*n**3 + 44. Let h(k) = -k**4 - 3*k**3 - 43. Let b(f) = -2*h(f) - 3*l(f). Find the first derivative of b(a) wrt a. -4*a**3 - 9*a**2 Let n(z) be the first derivative of -4*z**3/3 + 6*z + 4. Find the first derivative of n(k) wrt k. -8*k Let w(o) be the second derivative of -o**5/5 + 11*o**3/6 + 2*o. What is the second derivative of w(j) wrt j? -24*j Let q(a) = a**3 + a**2. Let y(m) = -2*m**3 + m**2 - 4*m. Let r(c) = -q(c) + y(c). Find the second derivative of r(o) wrt o. -18*o Let q(j) = j**4 - j**3 - j + 1. Let k(w) = -6*w**4 + w**3 + 14*w - 1. Let b(n) = 3*k(n) + 3*q(n). Find the second derivative of b(v) wrt v. -180*v**2 Find the second derivative of 11 + s - 27*s**2 + 71*s**2 - 5*s**2 wrt s. 78 Find the second derivative of 40*y + 42*y - 84*y + 7*y**4 wrt y. 84*y**2 Let i(w) be the first derivative of w**3/3 + 14*w + 7. What is the first derivative of i(n) wrt n? 2*n Let t(m) = -8*m + 20. Let y(c) = -9*c + 20. Let g(a) = 5*t(a) - 4*y(a). Differentiate g(i) with respect to i. -4 Let t = 3 - 0. What is the third derivative of 3*r**2 - 3*r**2 - r**3 - 2*r**2 + 3*r**t wrt r? 12 Let j(z) = -22*z**2 - 5*z. Let w(b) = -22*b**2 - 4*b. Let p(l) = -5*j(l) + 4*w(l). Find the second derivative of p(t) wrt t. 44 Differentiate 8*c**2 - 8*c**2 - 8*c**3 - 10 with respect to c. -24*c**2 Let g(j) = -10*j - 1. Let d be g(-1). Find the third derivative of d*i**2 - 6 + 0 + 6 - i**5 wrt i. -60*i**2 Let s(t) be the second derivative of 5*t + 7/6*t**3 + 0*t**2 + 0*t**5 + 1/42*t**7 + 0*t**4 + 0 + 0*t**6. What is the second derivative of s(v) wrt v? 20*v**3 Let y(l) be the first derivative of l**8/560 - l**4/12 + 7*l**3/3 - 1. Let q(x) be the third derivative of y(x). What is the first derivative of q(a) wrt a? 12*a**3 Let s(l) = -l**2. Let c be (-3)/(-2)*(-7 - -5). Let x(a) = 2*a**2 - a. Let u(q) = c*x(q) - 3*s(q). What is the second derivative of u(k) wrt k? -6 Suppose -4*n - 5 = -21. Differentiate -5 + n + 4*k**2 + 5 wrt k. 8*k Let z(n) = n**2 - 6*n + 5. Let s be z(5). Let u be 4 - (0 + s + 0). What is the derivative of y**u + 1 + 3*y - 3*y wrt y? 4*y**3 Let x be (-24)/(-5) + 4/20. Let m = -3 + x. Find the third derivative of -m*k**2 + 3*k**2 + 0*k**2 + 2*k**3 wrt k. 12 Let s be 12/(-27)*(-3)/2. Let y(a) be the first derivative of -a**2 + 0*a - 2 + s*a**3. What is the second derivative of y(f) wrt f? 4 Suppose -12 = -5*h + 8. What is the first derivative of -3 - 2 + h + 3*j wrt j? 3 Suppose v + z - 5 + 1 = 0, -4*v = 3*z - 17. Find the first derivative of m - 8*m + 5 - 8 - v wrt m. -7 Let f(i) be the third derivative of i**9/1008 - i**5/20 - i**3/2 + i**2. Let g(k) be the first derivative of f(k). What is the second derivative of g(y) wrt y? 60*y**3 Let m(u) be the third derivative of -7*u**5/15 - 13*u**4/8 - 28*u**2. What is the second derivative of m(g) wrt g? -56 Suppose 0*x = -4*x. Find the second derivative of x - c + 0 + 0 + 3*c**3 wrt c. 18*c Find the third derivative of -7*v**3 + 6*v**3 + 14*v**2 + v**3 - v**3 wrt v. -6 Let a(r) = -r + 11. Let s be a(11). Let j(v) be the first derivative of 1/4*v**4 - 2*v + s*v**2 + 1 + 0*v**3. Find the first derivative of j(m) wrt m. 3*m**2 Let q(u) be the first derivative of -2*u**3 - 3*u**2 - 10. What is the second derivative of q(f) wrt f? -12 Let v(g) be the third derivative of 1/40*g**6 + g**2 + 0 + 0*g**4 + 0*g - 1/60*g**5 + 0*g**3. Find the third derivative of v(t) wrt t. 18 Let b(p) be the first derivative of -p**9/504 + p**5/12 + p**2/2 + 4. Let n(z) be the second derivative of b(z). Find the third derivative of n(o) wrt o. -120*o**3 Let o(q) be the second derivative of q**5/4 - q**4/6 + 3*q. Find the third derivative of o(i) wrt i. 30 Let j(l) be the first derivative of -3/2*l**2 + 3*l - 1. Differentiate j(k) with respect to k. -3 Suppose -1 - 3 = -l. Suppose 4*f - l*y - 4 = 0, 10 = 3*f - f + 2*y. What is the derivative of 0*w - 4 + 0*w - w**f wrt w? -3*w**2 Let c(o) be the second derivative of -1/3*o**3 - o + 0*o**4 + 1/10*o**5 + 0*o**2 + 0. Find the second derivative of c(s) wrt s. 12*s Let b(w) = -w**2 + 2 - 5*w + 2*w + 1 + 2. Let t be b(-4). Differentiate 3*u**2 + 4 - t + 1 - u**2 with respect to u. 4*u Let k(h) be the third derivative of h**2 + 0 + 0*h**4 - 1/15*h**5 + 1/30*h**6 + 0*h + 0*h**3. Find the third derivative of k(b) wrt b. 24 Let r(u) be the third derivative of u**6/24 - u**5/30 - 4*u**2. What is the third derivative of r(p) wrt p? 30 Let y(z) = 12*z**2. Let l(s) = s**3 + s**2. Let x(f) = -2*l(f) - y(f). What is the third derivative of x(q) wrt q? -12 Let n be 2*2/(4/3). Suppose 0 = -n*d + 5*d - 8. What is the third derivative of -5*a**4 + 2*a**4 + 2*a**2 + 2*a**d wrt a? -24*a Let r = 4 + -6. Let c(k) = k**2 - 2*k. Let i(q) = 3*q - 1. Let z(h) = r*i(h) - 3*c(h). Find the first derivative of z(g) wrt g. -6*g Let o(b) be the first derivative of 2*b**2 + 22*b + 35. What is the derivative of o(h) wrt h? 4 Suppose -3*j - 23 = -5. Let m = j - -8. Find the third derivative of -2*s**2 + 2*s**3 - 2*s**2 + m*s**3 wrt s. 24 Let c(y) = -y + 9. Let s be c(7). What is the second derivative of 2*d**s + 7 - 3*d - 7 wrt d? 4 Let r(l) be the second derivative of 0*l**3 + 0 - 1/12*l**4 - 3*l - 2*l**2. What is the derivative of r(o) wrt o? -2*o Let n(q) = q**2 - 1. Let c(m) be the first derivative of m + 2. Let x(f) = c(f) - 4*n(f). What is the derivative of x(t) wrt t? -8*t Let y(a) be the first derivative of a**7/21 - a**3/2 + 3*a + 3. Let h(v) be the first derivative of y(v). What is the second derivative of h(z) wrt z? 40*z**3 What is the third derivative of 16*p**6 + 402*p**3 + 3*p**2 - 402*p**3 wrt p? 1920*p**3 Let k(x) be the first derivative of 11*x**6/6 + 13*x**2/2 + 1. What is the second derivative of k(c) wrt c? 220*c**3 Let l = -8 - 0. Let s(f) = -14*f - 14. Let b(v) = 5*v + 5. Let z(j) = l*b(j) - 3*s(j). Differentiate z(r) wrt r. 2 Let f be (3/(-3))/((-1)/5). Find the third derivative of -8*s - 4*s**f - 10*s**2 + 9*s - s wrt s. -240*s**2 Differentiate 0*j**4 + j**4 - 37 + 1 - 38 - 2*j**3 wrt j. 4*j**3 - 6*j**2 Let i(j) = 8*j**3 - 3*j - 3. Let u(f) = -f**3 + f. Let x(k) = i(k) + 3*u(k). Find the first derivative of x(y) wrt y. 15*y**2 Let n = 34 - 31. Let t(h) be the second derivative of 1/3*h**3 - n*h - 1/12*h**4 + 0*h**2 + 0. Find the second derivative of t(x) wrt x. -2 Suppose -2*j + 10 - 2 = 0. Let t(x) be the first derivative of 1/2*x**j + 0*x + 0*x**3 + 2 + 1/2*x**2. What is the second derivative of t(u) wrt u? 12*u Let w = -3 - -6. Find the third derivative of -3*k**6 - 2*k**2 + w*k**2 + 0*k**2 wrt k. -360*k**3 Let j(i) = i**2 - 4. Let l(p) = 3*p**2 - 7. Let g(s) = -5*j(s) + 2*l(s). What is the first derivative of g(d) wrt d? 2*d Let w(m) be the second derivative of -11*m**6/30 + 3*m**4/2 - 2*m. What is the third derivative of w(p) wrt p? -264*p Let m(p) be the first derivativ
{ "pile_set_name": "DM Mathematics" }
value in -5/4, 9/4, 0, -85776? 0 What is the biggest value in 18, -0.3, 1/7, -1956, -24, -16? 18 What is the second biggest value in -1.5, -48, -151, 4, 3/2, 2/9? 3/2 What is the biggest value in -932/5, 1/2, 0.258? 1/2 Which is the third biggest value? (a) 0.05 (b) 30 (c) 0.2 (d) 16/7 (e) -7 (f) 0.1 c What is the fifth biggest value in 1, -4, 57, 33/19, 14, 1/3? 1/3 Which is the third biggest value? (a) 1/3 (b) 3/2 (c) 0.1 (d) 70 (e) -24 (f) 13.4 (g) 0.4 b What is the third smallest value in 206/7, 118, -31, -2/3? 206/7 What is the second biggest value in 0, 1.1, 4/5, 30, -3.2892? 1.1 Which is the second biggest value? (a) 595/116 (b) -3 (c) -2 c Which is the biggest value? (a) -2/5 (b) -1/4 (c) 27 (d) 0.1 (e) -24 (f) -4 (g) 8 c Which is the smallest value? (a) -2 (b) -257 (c) 4 (d) -35393 d What is the biggest value in -8, -0.03, -63515? -0.03 What is the sixth biggest value in 4, -1/5, 29/2, -5, 67454, 0, -5/2? -5/2 What is the smallest value in -5, -0.4, -2681, -2/3, 57/4? -2681 Which is the fifth biggest value? (a) 0.83 (b) -0.03 (c) -0.4 (d) -5 (e) -6/13 (f) -1/2 (g) -5/8 f What is the third biggest value in 0.4, -128117287/2, -3? -128117287/2 Which is the second biggest value? (a) -5 (b) 2.1 (c) -17 (d) -4 (e) -538 (f) 3 (g) -0.1 b What is the biggest value in -4, 3/236, 1/6, -29200? 1/6 What is the smallest value in 20.38, 3/2, -2/3, -2/7, 2/11? -2/3 What is the seventh smallest value in 0.631, 0.2, -4, 2/11, 19, 2, 0.063? 19 Which is the second biggest value? (a) -1/3 (b) -1/26733 (c) -0.27 c Which is the fourth biggest value? (a) 8 (b) 38 (c) -3 (d) -196 d What is the second biggest value in 2/3, -4, -8606461, -0.4? -0.4 What is the third smallest value in 6, 10.5, 0.1, -3583? 6 Which is the third biggest value? (a) 515.237 (b) 1 (c) -0.3 (d) 359 b Which is the third biggest value? (a) 16126 (b) 4 (c) -60 (d) -3 d What is the biggest value in -22, 4, 2/410967? 4 Which is the third smallest value? (a) -0.4 (b) 4 (c) 211.98 (d) -49 (e) -18 a What is the sixth biggest value in -3, 2/25, 2/3, 8, 0.008, 0.2, -10? -3 Which is the biggest value? (a) 9 (b) 7.7 (c) 523 (d) 0.3 (e) -1/2 (f) -2 c Which is the third biggest value? (a) 110 (b) -14 (c) -5 (d) 0.9 (e) 4 (f) -1/15 (g) 0 d What is the smallest value in -7, 79, -5429, 5, -5? -5429 Which is the second smallest value? (a) 7 (b) 2 (c) -12 (d) 5/28963 d What is the smallest value in 0, -28, -30339/10? -30339/10 Which is the biggest value? (a) -4 (b) -803180 (c) -0.02 (d) 1 d Which is the smallest value? (a) 0.3 (b) -4/9 (c) 8/3252965 b What is the second smallest value in 2/9, 4, 258659? 4 Which is the fourth smallest value? (a) -32 (b) -20.99 (c) -3/7 (d) 0.09 (e) 2 d What is the third smallest value in 2.5, 3, -5, -1/4, 2/3, -4, 0.2? -1/4 Which is the smallest value? (a) 0.1 (b) -0.489 (c) -648 c Which is the smallest value? (a) 14 (b) 0.04 (c) 0 (d) 12/755 (e) 0.3 c Which is the second smallest value? (a) -2/394177 (b) -6 (c) 5 a What is the seventh smallest value in 3, -0.9, 1/83, 5, -17, -1, -0.1? 5 Which is the sixth smallest value? (a) -0.3 (b) -1.5 (c) 0.2 (d) -1260 (e) -13 (f) -1.2 c Which is the fifth biggest value? (a) -80 (b) 2916 (c) -1 (d) -1/6 (e) -5 a What is the third smallest value in -419, -4/3, -7, -2/9, -70, -5? -7 What is the second smallest value in 1, 77, -29, 231.9, -5, 0.1? -5 What is the fourth biggest value in -4/21, -1/27, -2, 1/78, 3, 2/19? -1/27 What is the fourth biggest value in 44, 0.2, 16254/13, 0.3? 0.2 What is the third biggest value in 2/7, 2/5, -62, 1/16, 1/9, 0.2? 0.2 What is the fourth biggest value in -3, 2062, -8, 10/11? -8 What is the second smallest value in 0.3, -5, -4, 760476? -4 What is the second biggest value in 0, -148685.8, 1/2, -0.08? 0 Which is the second smallest value? (a) -6/479 (b) 2 (c) -26.7 (d) -3/271 a What is the third smallest value in 91, -18915/7, 0? 91 What is the biggest value in -66, 146932, 3? 146932 What is the fifth smallest value in -9, 43, -1, -13.5, -0.1, -4/7, -3? -4/7 What is the biggest value in 4, -1/6, 2/42333, -2/63? 4 Which is the seventh biggest value? (a) 3/4 (b) 7/17 (c) 2 (d) 0.2 (e) -7 (f) -1/3 (g) -6 e Which is the biggest value? (a) -2/83 (b) -0.3 (c) 5 (d) -1/2 (e) 3 (f) -23 (g) -0.103 c Which is the third biggest value? (a) 4 (b) 71 (c) 2/592709 (d) -3 c Which is the fourth smallest value? (a) 2 (b) 0.4 (c) 3/8 (d) 1 (e) 121/9 (f) -0.3 (g) 3/2 d What is the fifth biggest value in -1.6, 66, 2/13, 4, 1, -187, -5? -1.6 Which is the fourth smallest value? (a) 26.62 (b) -1 (c) -49 (d) 0.3 (e) -15 d Which is the third smallest value? (a) 0.0767 (b) -0.035 (c) 14 (d) 26 c Which is the second smallest value? (a) 1.4 (b) -2/9 (c) -1/4 (d) 0.3 (e) 37987 b What is the biggest value in -64, -19767, 120/23? 120/23 What is the smallest value in 0, -89/5, 5, -7, -193, -0.4? -193 Which is the second smallest value? (a) 1326199 (b) 1 (c) 0.9 b Which is the second smallest value? (a) -934 (b) 162 (c) -8 (d) -0.1 c Which is the second smallest value? (a) -19 (b) -65/4 (c) -1073.1 a What is the third biggest value in 2/3, 0.01, 11/4, 7, 0.5, 2, -10? 2 Which is the second smallest value? (a) -585 (b) 1/2 (c) 50 (d) 0.12 (e) 2/23 e Which is the second biggest value? (a) -51 (b) -138 (c) -3 (d) -2 (e) 0.2 d Which is the biggest value? (a) -0.2 (b) -0.8 (c) 7.29 (d) -0.05 c What is the fifth smallest value in 0.25, 63, -3, 403, 5, -1/7? 63 Which is the seventh biggest value? (a) -1/4 (b) -1 (c) 43 (d) -0.2 (e) 3 (f) 5 (g) -1/2 b What is the third biggest value in 4.5, 0.06, -17/3, -0.14? -0.14 What is the second biggest value in -168/11, 43, 0.036, -4? 0.036 Which is the fifth biggest value? (a) -0.03 (b) -0.1 (c) 0 (d) -1.209 (e) -2996 e Which is the third biggest value? (a) 1 (b) 4 (c) -272 (d) -0.6 (e) -9 d Which is the fourth biggest value? (a) -0.1 (b) -0.4 (c) -92 (d) -561 (e) -2/77 c Which is the second biggest value? (a) -528 (b) -1134 (c) -5 (d) -0.04 (e) -4 (f) 3/5 d Which is the second biggest value? (a) 75 (b) 0 (c) -3/2 (d) 0.062 (e) -1/3 (f) 1 (g) 2/9 f Which is the third biggest value? (a) 1/12 (b) 2.133 (c) -3 (d) -1960 c Which is the biggest value? (a) 775 (b) -3 (c) -0.07 (d) 133 a What is the fifth biggest value in 3, 15777, -5, -0.28, 5/2? -5 What is the sixth smallest value in -5, -3, 9/7, -4/5, -28, -23? 9/7 What is the second smallest value in -2, -39/7, 0, -4/7, 4, -102, -5? -39/7 What is the fourth biggest value in 32, 36, -2/487, 3, -6/7? -2/487 Which is the third biggest value? (a) 11 (b) -0.4 (c) -45 (d) -7/17 (e) -0.2 b Which is the second smallest value? (a) 89 (b) -0.2 (c) 18491/45 a What is the second biggest value in 0.04, 0.4, -339/139, 6? 0.4 Which is the biggest value? (a) 632 (b) -7.744 (c) -4 a Which is the third biggest value? (a) 2/3 (b) -684 (c) 1588 b What is the second biggest value in 5, 3, -10736.54, 1/3? 3 What is the second smallest value in -0.1, -12, -0.06, 9, 0.8, -0.036? -0.1 What is the seventh smallest value in 0, -4/5, -5, 4, 0.072, 0.08, -27? 4 What is the third smallest value in 1, -2/5, -5, 0.2, -19/5, -23772? -19/5 Which is the second biggest value? (a) -2/5 (b) 0.3 (c) -2/21 (d) 95504 b Which is the second biggest value? (a) -7/5 (b) -3/47 (c) 0.1 (d) 0.2 (e) 6 (f) 13 (g) -0.7 e Which is the third smallest value? (a) 18 (b) -8525 (c) -3.76 a What is the sixth smallest value in 2, 246, -26/15, -2/21, 1/4, 1? 246 What is the third smallest value in 2, -0.01, 0.1, -17894, -5, -4/3? -4/3 Which is the fourth smallest value? (a) -1 (b) 157 (c) -4.8 (d) -9/10 (e) -2/7 (f) -0.4 f What is the biggest value in 5, 1/5, -9, 19, 1/27, -0.3? 19 Which is the third smallest value? (a) -90 (b) 0 (c) -2/13 (d) 1839 b Which is the smallest value? (a) 2/31 (b) 5.7 (c) -9 (d) 4 (e) 0 c Which is the fifth biggest value? (a) 0.1 (b) 5 (c) 120/49 (d) 7 (e) -0.028 e What is the biggest value in -5, -3/41, -0.2, 0.272? 0.272 Which is the third biggest value? (a) -4087 (b) -2 (c) 848/25 a Which is the biggest value? (
{ "pile_set_name": "DM Mathematics" }
-4*j + 5*k - 24 for j. -1 Let f be 7/2 - (-6)/(-4). Solve -4*d = f*n - 14, 8 = 5*d - d for n. 3 Let k be (1/1)/(2/6). Solve -2*h = z, k*z = 2*h - 5*h - 6 for h. 2 Let i(y) = y**3 - 10*y**2 + 10*y - 5. Let q be i(9). Let k = 30 + -17. Solve w - 2*c = k, 3*c + 22 = q*w - 2*w for w. 5 Let m(u) = 32*u**2 + 4*u - 2. Let f(i) = -31*i**2 - 5*i + 2. Let s(y) = 5*f(y) + 6*m(y). Let p be s(-1). Solve 3*j + n - 9 = 0, -12 = 3*j - 4*n - p for j. 4 Let a = 63 - 63. Solve 0 = -a*l - l + 3*v - 10, 0 = l + 2*v for l. -4 Let k be 9/(18/16) - -5. Solve 0 = 3*q + 4*g - k, -q - 3*g + 5 + 1 = 0 for q. 3 Let d be 2 - 3 - 4*-1 - 1. Solve d*h + h = -3*p, 1 = p for h. -1 Let x be (-2 + (-2)/(-1))/(-3). Let q(w) = w**3 - 8*w**2 + 8*w - 4. Let g be q(7). Let d = g + -3. Solve 4*l - k + 24 = x, l - 2*k - 2 + 15 = d for l. -5 Let i be -4 + (-4 - -4*2). Solve 2 = 2*m + b - 7, -m - b + 4 = i for m. 5 Let o(g) = -8*g + 104. Let s be o(13). Suppose 4*n - 58 = -2*b, -2*b - 3*b = 25. Solve -2 = j - m, s = 4*j - 3*m + 2*m + n for j. -5 Suppose -6*j = -2*j - 12. Suppose 7*l - 12 = j*l. Solve 12 = -4*n + 4*i, 0 = 5*n - i - 0*i + l for n. 0 Let r be (12/1)/((-2)/(-18)). Suppose d - 2*k = 3*k - 38, -4*d - 2*k - r = 0. Let n be d/(-10) - (-3)/15. Solve 2*a + 5*w = n*a + 13, -3*a + 15 = 3*w for a. 2 Suppose 4*r = -r. Let u be (r/6)/(-3 + 1). Solve 2*p + 4*b + 0 + 10 = 0, -5*b - 25 = u for p. 5 Suppose 7*a - 2*a + 10 = 0, o - 26 = 5*a. Let z be ((-3)/12)/((-2)/o). Let h = 5 - z. Solve 2*r + 1 = -0*r + h*d, 5*d - 7 = 2*r for r. 4 Let u(p) = -p**3 + 7*p**2 + 10*p + 3. Let x be u(8). Solve -m = -3*r + 13, 0 = 5*r - 0*m + m - x for r. 4 Let h(j) = -2*j**3 - 3*j**2 + j + 2. Let b be h(-2). Solve -2*l - b*f = -8, -3*l - 10 = -4*f - f for l. 0 Let s = 106 - 101. Solve -s*y + 21 = -2*o, -6 = 2*y + 5*o - o for y. 3 Let g(r) = r**2 - 2*r - 1. Let x be g(-3). Suppose -t + 2 = -x. Solve 21 = -2*i - 3*n, -n - 6 + t = -5*i for i. -3 Suppose x + 5 = -0, -2*x = w + 6. Suppose -4*y + 11 - 3 = 0. Solve -m = -w*m - 2*q - 4, 5*m + y*q + 12 = 0 for m. -4 Let f(l) be the first derivative of l**3/3 + l**2 + l + 3. Let c be f(-3). Solve -c*q + 3*q - 4*g - 5 = 0, -2*q = -5*g - 16 for q. 3 Suppose 12*q - 4 = 11*q. Solve 13 = 4*f - h, -3*h + 8 = q*f - 17 for f. 4 Let f(u) = u - 1. Let d(z) = z**2 + 3. Let y be d(0). Let g be f(y). Solve -9 = 5*a - 4*i, 5*a + g*i + 3 = -0 for a. -1 Let j = -1 - -3. Let g be j*(-4)/10*-5. Solve -3*m + g*u - 8 = -28, 2*u + 10 = 3*m for m. 0 Let d = 21 - -19. Solve 5*q + d = 5*w, 3*q + 27 = 4*w - 0 for w. 3 Let s(n) = -n**3 + 4*n**2 + n. Let y be (-2)/(-2 - 6/(-4)). Let x be s(y). Solve 5*t = 2*j - 9, 3*t - j + x + 2 = 0 for t. -3 Suppose 3*w - 44 = -14. Let x = -7 + w. Let g(q) = -q**2 - 9*q - 6. Let u be g(-8). Solve 0 = -2*o + x*o + u*v + 4, 4*o = v + 20 for o. 4 Let n = -81 + 81. Solve n = x - 4*x + 4*h - 5, 4*x = 2*h for x. 1 Suppose d + 0*d - 5 = 0. Let v be -2 - (2 - 3 - d). Solve -x - v*w - 1 = 17, 5*w + 24 = -2*x for x. -2 Suppose -4*k + 10 = k. Let a be 4 - (k - 2)/(-1). Let j(u) = u**2 - 3*u + 2. Let d be j(-3). Solve i + d = 3*t, a*t + 0*i - 2*i = 30 for t. 5 Let n(u) = 0*u - 1 - 4*u + 2*u - 5*u. Let r be n(-1). Solve -2*z - 14 = -2*w, 0 = -r*w + w + 15 for z. -4 Let k = 12 - 8. Let j = 3 + -2. Solve 0 = -k*y - 3 - j, -r - y = 0 for r. 1 Let i(y) = -y + 2. Let o be i(2). Let b(s) = 5*s**2 - 3*s - 1. Let w be b(-2). Solve -4*a + 5*x = w, o = 5*a - 2*x + 11 + 16 for a. -5 Let n(l) = 3*l - 1 - 1 - 1. Let u(w) = 2*w - 2. Let s(r) = -2*n(r) + 5*u(r). Let c be s(8). Solve 3*t + c = 5*i - 4, 3*i - 8 = -t for i. 4 Let j = 8 + -7. Let m be (4/(-4))/(j/(-14)). Solve 2*y = w + 4*y + 10, 0 = w + 3*y + m for w. -2 Suppose m = -5*r + 40, -5*r + 17 = 5*m - 23. Solve 2*d = 3*l - 5*l - r, -2 = -2*l for d. -5 Let m = -14 - -18. Suppose -3*w + m = -2*j + j, 34 = 3*w + 5*j. Solve 3*g - 12 = 3*v, g - v = w*g + 4 for g. 0 Suppose -7 = -7*u + 7. Let b = -4 + 10. Solve u*f - b = 0, -2*f = -4*x - 4*f + 10 for x. 1 Suppose -2*z + 32 = 2*z. Suppose -v + z = -5*v. Let o be 1/((-3)/2 - v). Solve -3*f + o*c = 22, -2*f + 24 = -3*f + 4*c for f. -4 Let n be (-1 - 2)*44/(-12). Solve 0 = 5*c - 2*y + 15, -n = -2*c - 4*y + 7 for c. -1 Let l be 5/((-15)/(-6)) + 0. Suppose l*a - 5 = 5. Solve -a*d - 17 = -2*z, d - 3*z = -1 + 8 for d. -5 Suppose -5*s = -6 - 24. Let j(x) = 4*x**2 + x**2 + 7*x - 4 - x**3 + 0*x**3. Let t be j(s). Solve -2*o = -3*g + t*g - 5, -3*o = -3*g - 15 for o. 0 Suppose 7*m - 5 - 16 = 0. Solve -5*y + m = -4*a - 4, -a = -5*y - 2 for y. -1 Suppose 0 = q + 5*z - 4 + 26, -3*z - 22 = 5*q. Suppose 3*v - 6 = 3. Let d be (2 + v/q)*10. Solve d*n + 14 = -p, -3*n + p = -0*p + 10 for n. -3 Let t(y) = -y**2 - 10*y - 13. Let a be t(-9). Let v = a - -7. Solve -3*o + v = 5*b + 2, 6 = -4*b + o for b. -1 Let o(x) = 3*x**2 + 11*x + 4. Let h be o(-4). Solve -3*b - 4*k = 0, 5*b + 3*k - h = 3 for b. 4 Let o = 9 - -2. Suppose -5*n + 9 = -o. Solve -y + 3*u + 3 = 0, 2*y + n*u = 4*y - 6 for y. 3 Let p be (-2 - -1)*-1*6. Suppose -c - 3*x = 2 - 7, 5*x = 2*c - 21. Suppose -c = 4*g, -v - 6*g = -g - 25. Solve 2*k - 3*o = -4 + p, -3*k - 5*o - v = 0 for k. -5 Suppose 4*w - 12 = -4, j + w = 24. Solve -m + 3*i + 0*i + 4 = 0, 4*i = -2*m - j for m. -5 Suppose -s - 4*p = -5*s + 20, 21 = 5*s - 3*p. Solve -2*g - 6 = 0, g + 2 = -2*c + s for c. 2 Let o = 1 - -2. Suppose -8*s = -o*s - 10. Suppose -b + 6 = s*b. Solve 2*z = z + i - 6, b = z + i for z. -2 Let b(m) = 3*m - 13. Let i be b(5). Solve 5*h + 25 + 5 = 5*x, 0 = 4*h + i*x - 6 for h. -1 Let s be (2/3)/((-4)/(-138)). Let a = s + -19. Solve x + 4*z + 9 = -a*x, 0 = -4*x + 2*z - 28 for x. -5 Let n(z) = z**3 + 8*z**2 - z - 26. Let d(a) = a**3 + 9*a**2 - a - 25. Let m(q) = -7*d(q) + 6*n(q). Let l be m(-15). Solve 8 = -4*b, -l*s + 2*s + b = -10 for s. 4 Suppose -14*u + 0*u = 0. Let k = 6 + -4. Solve 2 = -b + 2*m, k*b + 6*m - 2*m - 20 = u for b. 4 Let k be (-42)/24*2*-2. Suppose 5*o = 3*q + k - 31, 5*q + o - 12 = 0. Solve 4*v - v + 3 = q*f, -12 = -4*f for v. 2 Let p(h) = 2*h**3 - 4*h**2 + 4*h - 3. Let q be p(2). Solve 3*s + 6 = 0, 10*d - 4*s - 13 = q*d for d. 1 Let r = 3 - 3. Suppose 0 = 3*m + 4*q - 23, -4*m - 2*q + 30 = 3*q. Let l = m - 4. Solve 0 = 3*a - 9, -l = 4*w + a - r for w. -1 Suppose -3*b = -5*r + 36, 2*r - 3*r + 4*b = 3. Solve 0 = -3*c - 9, 6*l - r = 3*l + 5*c for l. -2 Let k(p) = -p**3 - 4*p**2 - p. Let n be k(-4). Let i = 12 - 8. Solve 12 = -3*l, n*r - i*l - 1 = -r for r. -3 Let k(s) = 2*s + 2. Let o be k(0). Solve r + b - o = 0, 3*r + 4*b - 14 = -b for r. -2 Suppose 3*v - 3*f - 26 = 4*v, -3*v - 26 = -4*f. Let o be (-4)/v - 64/28. Let r be o/(-2)*-3*-1. Solve -5*y - 41 + 16 = 2*z, z = r*y + 4 for z. -5 Let b(v) = -v**3 - 4*v**2 - v + 10. Let i be b(-3). Solve 0*l + 4*l - 7 = r, 0 = -2*l + i for r. 1 Let a(v) = -11*v - 21. Let u(p) = -4*p - 7. Let k(m) = -3*a(m) + 8*u(m). Let c be k(-5). Solve -2*w = 8, c*b - 16 = -b + 4*w for b. 0 Let s be ((-10)/(-8))/(2/24). Let o = 12 - 4. Let k = -8 + o. Solve 5*x + 3*h = -15, 5*x = -h - k*h - s for x. -3 Suppose 3*g - 30 = -2*g. Suppose -g*k + 3*k - 21 = -3*n, n + 13 = -3*k. Suppose 2*q = 3*i + 6, -5*q + i = -i - 4. Solve -4 = 4*c, 4*p = -q*c + n*c - 14 for p. -4 Suppose c + 5 = 10. Let w = -1 + c. Solve 2*o = -w*z + 4, 2*o - 3*z = -3*o - 3 for o. 0 Let q(h) = -h**2 + 14*h + 17. Let f be q(15). Solve 0 = -5*s + y - 26, 0 = s + f*s + 4*y + 11 for s. -5 Let f be (-2)/4 + 1/2. Suppose f = 3*k - 9. Suppose -s = -k - 1. Solve 13 = -s*p - c, -3*p = p - c + 3 for p. -2 Let t(u) = 15*u**3 - u**2 + 1. Let k be t(1). Solve 6 = -5*o - 4*b + k, 0 = -b - 4 for o. 5 Let f = 22 - 74. Let t = -25 - f. Suppose 0*k = -d + 5*k + t, -3*d - 5*k = 19. Solve -3*v = 2*x + 3*x - 23, 4*x + d*v = 18 for x. 4 Suppose 7*i = 2*i + 10. Let q(g) = -3*g**2 - g - 2. Let v be q(i). Let r be (0 - 0) + 2 - v. Solve -4*z = -3*y + r, -y + 16 = -4*z + 2 for z. -3 Suppose 5*g + 0 = 10. Suppose -2*o - g*o - 20 = -4*u, -4*o = u. Solve -3*c + p + 3 = 0, 2*c - u*p - 1 = 1 for c. 1 Let n be 3 - -2*(-2)/4. Let t(w) be the third derivative of w**5/30 - w**4/6 + w**3/3 - w**2. Let b be t(n). Solve -2*s + 0*v = 2*v - 10, -b*v + 4 = -s for s. 2 Suppose -h + 2*u = 6, -3*h + u = -u + 2. Solve h*r + 8 = o, -2*r - 10 = -3*o - 2 for r. -4 Let c = -23 + 46. Suppose 8*i - i = -0*i. Solve
{ "pile_set_name": "DM Mathematics" }
me factors of z? 2, 859 Let p = -248 - -253. Suppose 5*f - 7420 = -p*j, 4*j = j - f + 4456. List the prime factors of j. 2, 743 What are the prime factors of 6229 + (4 - (-120)/(-21))/((-16)/56)? 5, 29, 43 Let f(h) = 2*h**3 - h**2 - h. Let m be f(3). Let w = m + -34. Suppose w*b - 539 = 85. What are the prime factors of b? 2, 3, 13 List the prime factors of (61365/(-10))/(12/(-80)) + 40/5. 2, 41, 499 Let d(b) = 76*b**2 + 4. Let q be d(3). Suppose -q = 3*g - 11*g. Let z = -33 + g. What are the prime factors of z? 53 Suppose -5*d - 4*r = -13, r - 12 = -4*d - 3*r. Let a be (30/12 - 0)*(d - -1). Suppose -4*w = -5*g - 189, 2*g + g = a*w - 220. List the prime factors of w. 41 Suppose 5*l - 33678 = -10813. What are the prime factors of l? 17, 269 Let t = 24 - 21. Suppose -n - 3*m = m - 18, 0 = t*m. Suppose 4*v - n = -4*w + 342, 5*w - 442 = -v. List the prime factors of w. 2, 11 Suppose 1408651 = 108*p - 717869. What are the prime factors of p? 2, 5, 11, 179 Let h = 8534 + -5392. Suppose 7*f + 839 = h. What are the prime factors of f? 7, 47 Suppose 2*s + 3*g + 1689 = 6*s, s = -4*g + 408. Suppose s = 2*b + 3*w - 440, 0 = -5*b - 2*w + 2139. List the prime factors of b. 7, 61 Let y = 72 + -68. Suppose g + 77 = 2*x, -y*x - 3*g = -0*g - 179. Suppose -4*k + 54 + x = b, -b + 97 = 2*k. List the prime factors of b. 3, 11 Let p = 175 - -7256. What are the prime factors of p? 3, 2477 Let s = 8647 - 5143. Suppose 12*n - 24*n = -s. List the prime factors of n. 2, 73 Suppose -4*k + 1211 + 15853 = -2*r, 4*r - 8 = 0. What are the prime factors of k? 17, 251 Let c be (881 + -2)*10/15. Suppose -24*y + c = -350. What are the prime factors of y? 3, 13 Let m = 6286 - 3280. Suppose -4*j - 5927 = -5*p, 5*p + 4*j - m = 2937. List the prime factors of p. 1187 Let n = 151578 + -84968. What are the prime factors of n? 2, 5, 6661 Let u be (90/(-8))/((-7)/(-28)). Let z(o) = 38*o**2 + 4*o - 1. Let a be z(-2). Let d = u + a. List the prime factors of d. 2, 7 Let r be 14/(-7)*-1 + (0 - -14). Suppose 20*a = r*a + 1244. List the prime factors of a. 311 Suppose -2*h - 3*h = -3*g + 898, 0 = 3*h + 3*g + 534. Let m = h - -68. Let x = -60 - m. What are the prime factors of x? 3, 17 Let v(z) be the first derivative of -z**3 - 5*z**2/2 - z + 28. Let y be v(-2). List the prime factors of 7/(98/231)*(-16)/y. 2, 11 Let k be (37926/(-8) + (-3)/12)/(-1). Suppose -9*d - 2*d + k = 0. What are the prime factors of d? 431 Let h = -238 + 241. Suppose h*m + 4*x = 3004, 1595 = 5*m - x - 3427. List the prime factors of m. 2, 251 Suppose -1482 = 5*a + 4*v - 7043, 0 = -5*a - 5*v + 5565. What are the prime factors of a? 1109 Let p = -5618 + 8705. List the prime factors of p. 3, 7 Let o = -215 - -221. What are the prime factors of (o/4)/(36/8184)? 11, 31 Let m(s) = s**3 + 10*s**2 - 24*s + 14. Let w be m(-12). Suppose 0*l = -3*l - 15, 2*l - w = 3*a. Let b = a + 35. What are the prime factors of b? 3 Let c be (-1012)/18 + ((-120)/(-54))/10. Let h = c + 222. Let o = h - -83. What are the prime factors of o? 3, 83 Let z = 57 - -754. Let i = 1488 - z. Suppose 5*j + i = 3*n + j, 2*n - 2*j - 450 = 0. What are the prime factors of n? 223 Let y(v) = 2*v**3 + 42*v**2 - v - 4. Let t be y(-21). Suppose -t*d = 2830 - 12843. What are the prime factors of d? 19, 31 Let h = -295 + 304. Suppose 4*o = -i + 2983, h*o - 4*i - 3734 = 4*o. What are the prime factors of o? 2, 373 Let m = -18576 - -56629. List the prime factors of m. 38053 Let x(i) = -i**3 - 18*i**2 - 84*i - 38. Let m be x(-10). Let u be (0 + 1)/(2/8). Suppose 3*y + 6 = 0, -m*v + 320 = -y + u*y. What are the prime factors of v? 163 What are the prime factors of 16/6*((-3998358)/(-104))/7? 2, 3, 2441 Let w(z) = 33*z**3 - 8*z + 2*z + 118 + 14*z**2 - 32*z**3 - 31. List the prime factors of w(-12). 3, 149 Let n(t) = t**3 - 80*t**2 - 376*t + 100. What are the prime factors of n(85)? 5, 853 Let h be 2 + 11 - 4 - 6. Suppose 3*f - 1689 = -4*b, -h*f - 2422 = -5*b - 331. List the prime factors of b. 2, 3, 5, 7 Let k(h) = 9*h + 12. Let u be (-10)/(-45)*1 + 596/(-9). Let y = u - -77. What are the prime factors of k(y)? 3, 37 Let d be 1/1*1*4. Suppose -2*f + 3*y = -1012, 0 = f - 6*f - d*y + 2484. What are the prime factors of f? 2, 5 Let x(w) = -w**3 - 6*w**2 + 6*w - 6. Let o be x(-7). Let c(a) = -5*a**3 + 2*a - 1. Let r be c(o). Let q(n) = 2*n + 19. List the prime factors of q(r). 11 Let d = -4451 - -10818. What are the prime factors of d? 6367 Suppose 46 - 10 = 6*g. Suppose -2*r = -g*r + 176. List the prime factors of 185/2*r/55. 2, 37 Suppose -7*t + 6 + 113 = 0. Suppose -t = -3*i + 28. What are the prime factors of i? 3, 5 Let f(j) = 2*j**2 - 2*j + 3. Let w be f(3). Suppose w*m - 36 = 17*m. Let n(t) = -t**3 - 15*t**2 + 40*t - 14. List the prime factors of n(m). 2, 7, 17 Let m(h) = -h**3 + 16*h**2 - 5*h - 20. Let z be ((2 + -5)*(-2 - 3))/1. Let k be m(z). Let u = k - 30. List the prime factors of u. 2, 5 Let p be (-539)/(-14)*16/28. List the prime factors of (((-378)/1)/(-1))/(p + -21). 2, 3, 7 Suppose -123 = 6*g + 297. What are the prime factors of 4*((-4275)/(-28) - 40/g)? 613 Let s(g) = 3*g**2 - 4*g - 9. Let i be s(-3). Suppose t - l - 8 - 2 = 0, i = t + 4*l. Suppose -68 = -2*o - 3*u, o + u = 18 + t. List the prime factors of o. 2, 7 What are the prime factors of (-161520)/(-48) + (1 + 0)*-8? 3, 373 Suppose 2717 - 7981 = 7*v. Let c = -96 - v. List the prime factors of c. 2, 41 Suppose 459 = -0*r + 3*r. Suppose -28 = 5*x - r. Suppose 5*t - x = 5. List the prime factors of t. 2, 3 Suppose 0 = -3*z + 4*j + 20533, -69*z - 6871 = -70*z - 2*j. What are the prime factors of z? 3, 5, 457 Let p(y) = -y**3 - 59*y**2 - 60*y - 92. Let u be p(-58). List the prime factors of 26600/u - (-5)/(-15). 2, 277 Suppose -4*z = p + 3*p - 84, 4*p - 3*z - 105 = 0. Let r = p - 4. What are the prime factors of 1790/r - (-6)/4? 7, 13 Suppose 34*k - 31*k = 4967 + 4369. What are the prime factors of k? 2, 389 Let d(b) = -b**3 + 4*b**2 + 2*b - 5. Let z be d(4). Suppose 4*m = 7*m + z*q - 114, 5*m + q - 194 = 0. Suppose m = 5*a - 811. What are the prime factors of a? 2, 5, 17 Let x(m) = -87*m**3 - 21*m**2 - 108*m - 5. What are the prime factors of x(-4)? 5659 Suppose -4*w + 2*w = -2*r, 0 = 5*w - 4*r + 2. List the prime factors of (-35)/w*128/40. 2, 7 Let g be (250/15)/5*36/(-30). What are the prime factors of (-1)/(4/9152*g)? 2, 11, 13 Suppose -12 = -3*g, 0 = -4*q - 15*g + 19*g + 2972. Suppose -2*f + q = 5*u, 3*f - 293 = 3*u + 817. List the prime factors of f. 7, 53 Suppose -384 = -10*g - 6*g. Suppose -250 - 158 = -g*z. List the prime factors of z. 17 Suppose -131*s - 3127352 = -206*s - 148*s. List the prime factors of s. 2, 1753 Let d = -359 - -353. List the prime factors of 384 + 4/(-12)*d + 0. 2, 193 Let y = 23659 - 15620. List the prime factors of y. 8039 Suppose 5*q + 2*x - 26232 = 0, 0 = 2*x - 94 + 102. What are the prime factors of q? 2, 41 Let p(z) = z**2 + 7*z + 6. Let m be p(-6). Suppose 0 = 7*j - 26 - 2. Suppose j + m = -2*t, -2*t = 3*n - 386. List the prime factors of n. 2, 5, 13 Let n be 48/168 + (-4)/14. Let a be 1 + (12 - 1) + (n - 2). Suppose 3*x + 182 = a*x. List the prime factors of x. 2, 13 Let g(m) = -m**3 + 60*m**2 + 87*m - 38. What are the prime factors of g(60)? 2, 2591 Suppose -9*y + 4*k + 59208 = -5*y, -k = 6*y - 88798. What are the prime factors of y? 2, 5, 37 Let w(z) = -6*z + 11. Let r be w(1). Suppose 2*o + 1451 = 3*n, -r*o + 1927 = 5*n - n. What are the prime factors of n? 3, 7, 23 Let k(f) = -f**3 - 15*f**2 - f + 1. Let z be (-12 - -15)/(2/(-10)). Let s be k(z). Let q = s - -72. List the prime factors of q. 2, 11 Let m(c) = 7857*c + 2832. List the prime factors of m(5). 3, 101, 139 Let a(s) = -7*s + 50. Let j be a(6). Let q(w) = w**3 - 5*w**2 - 16. Let v be q(j). Suppose -181*z = -v*z - 210. List the prime factors of z. 2, 3, 7 Let u(v) = -49*v**3 - 40*v**3 - 39*v**2 - 6 + 34*v**2. Let m(n) = 88*n**3 + 6*n**2 + 7. Let l(s) = -6*m(s) - 7*u(s). List the prime factors of l(1). 2, 47 Suppose 0 = 30*n - 428673 - 64527. What are the prime factors of n? 2, 3, 5, 137 Let t(l) = -3*l**3 + 8*l**2 - 4*l + 9. Let n be t(6). Let q = n + 635. What are the prime factors of q? 2, 5, 13 Suppose 11395487 = 178*u + 77*u + 611027. What are the prime factors of u? 2, 97, 109 Suppose -y = -2*
{ "pile_set_name": "DM Mathematics" }
/3) assuming a is positive. a**256 Simplify ((i/i**(-16))/i)**(3/5)*i*i*i**12*i**(-3/22) assuming i is positive. i**(2581/110) Simplify (k**(-6/11)*k*k**(-3/7))/(k**0)**(-4/11) assuming k is positive. k**(2/77) Simplify (d*d**(-6/7)/d)**37*(d**(6/11)*d*d)/d**(-14) assuming d is positive. d**(-1168/77) Simplify (f/(f**5*f))**(4/13)*f**(-2/27)*f**10/f assuming f is positive. f**(2593/351) Simplify ((t/(t*t/(t/(t*t/t**13*t))))/(t**15/t*t))/(t**(8/7)/(t*t**14*t)) assuming t is positive. t**(69/7) Simplify (t/(t*t**(-17)))/t*t*t**(-4)*(t**0)**(34/7) assuming t is positive. t**13 Simplify ((u*u**3)/u)**(1/31)/(u**(-2/5)/((u**(-1/3)*u)/u)) assuming u is positive. u**(76/465) Simplify ((t**(-14)*t)/((t**27/t)/t))/(t/(t*t/(t**(-2)/t))*t**(-1/18)*t) assuming t is positive. t**(-629/18) Simplify (f**14)**(-16/5)/((f*f*f**(6/11)*f)/(f**(2/17)*f)) assuming f is positive. f**(-44158/935) Simplify ((r/r**16)**(-2/25))**(-23) assuming r is positive. r**(-138/5) Simplify ((g*g/((g**(-16)/g)/g)*(g/g**(-10)*g)/g)**(-35))**(-21) assuming g is positive. g**22785 Simplify (r**9*r**3)/((r**11/r)/(r/(r/((r*r/r**(1/27))/r)))) assuming r is positive. r**(80/27) Simplify d/d**(-3/5)*d*d**(-9/4)*d**(-4/11)/d**17 assuming d is positive. d**(-3743/220) Simplify ((v*v**(3/5))/((v*v**(10/3))/v))/(v**(-2/7)*v/(v/((v**(2/3)/v)/v))) assuming v is positive. v**(-4/35) Simplify i*i**(4/15)*i**0*(i*i/(i**3/i))**47 assuming i is positive. i**(19/15) Simplify (k**(-3))**(-1/4)/((k*(k**(-1)/k)/k*k)/k**(-7/4)) assuming k is positive. 1 Simplify (u**(1/8))**(-36)/(u**17/(u*u**(-20))) assuming u is positive. u**(-81/2) Simplify (t**21*(t**(-27)*t)/t)/(((t**14*t)/t)/t*t**(-27)/t) assuming t is positive. t**9 Simplify ((f/(f**(-8/9)/f))/(f*f/(f**(-31)/f)))**(-27) assuming f is positive. f**840 Simplify (t**5/(t/(t*t/(((t*t/t**(1/2)*t)/t)/t))))/((t**(-1/8)/t)/t**(4/5)) assuming t is positive. t**(297/40) Simplify ((v**(-10/3)/v*((v*v*v*v**(1/3))/v)/v)**(7/5))**(-3/8) assuming v is positive. v**(63/40) Simplify (g*g**15*g*g*g*g)/g**(1/23)*(g/(g**(-5)/g))**(1/57) assuming g is positive. g**(26324/1311) Simplify (m**(-7))**(9/11)/(m**(-1)*m**1) assuming m is positive. m**(-63/11) Simplify (x**(2/25)*x**(5/6)*(x*x/(x*x*x/x**(2/11))*x)**31)**28 assuming x is positive. x**(151298/825) Simplify y**(-4)/y**(2/5)*(y*y**3)/(y/(y**(-10)/y)*y) assuming y is positive. y**(-67/5) Simplify (((v/(v**(-2/3)/v*v)*v)/v)/v)**(-4)*(v**(3/5)/v)**(-9/2) assuming v is positive. v**(-13/15) Simplify (((l/(l**(-1/10)/l))/l)/l*l/l**(12/7))/((l/(l*l**(-5/4)*l))/(l/(l/(l/(l*l*l/(l/((l**(6/11)*l)/l))))))) assuming l is positive. l**(-3711/1540) Simplify ((h*h*h/(h**(-29)*h))/h)/h**(-3/26)*h**12/(h*h**(-23)) assuming h is positive. h**(1667/26) Simplify (a**16)**(-16)*a**(-23)/a*a**33 assuming a is positive. a**(-247) Simplify (v**(-2/11)/(((v/(v/(v*v**22)))/v)/v))/(((v**11*v*v)/v)/v*v*v/(v/(v**(-34)*v))) assuming v is positive. v**(-2/11) Simplify (f**(-3/2)*f/(f*f**11/f*f))/((f/(f/((f/(f**4/f)*f)/f*f)))/f**5) assuming f is positive. f**(-13/2) Simplify (i*i**(-8)*i*i*i**(-1/4)/i)/(i/(i**2*i))**(2/3) assuming i is positive. i**(-59/12) Simplify ((x/(x/(x/(x/(x**(-1)/x)))))**(-1/18)*x**(-1/2)*x*x*x/(x/x**(-1/3)))**(2/7) assuming x is positive. x**(23/63) Simplify ((j*(j*j/j**(-3/5))/j*j**7/j*j)**20)**(-5/2) assuming j is positive. j**(-480) Simplify (m/(m/m**(-5)))**(-2/61)/(m**(-19)/(m*m*m**(-2/9)*m)) assuming m is positive. m**(12046/549) Simplify (((d*d**(-9))/d)/d*d*d**(-16))/(((d/d**(2/3))/d)/(d*d**(-17)*d)) assuming d is positive. d**(-118/3) Simplify (((k*k*k**(-5)/k*k)/(k/(k*k**(-1/6))))/(k*k/(k/k**(-1)))**45)**(1/12) assuming k is positive. k**(-19/72) Simplify (((o*o*o**(3/5)/o*o*o)/((o*o**2*o)/o))**(-47))**(-33) assuming o is positive. o**(4653/5) Simplify (r/(r/r**(-1)))**(-5)*r**(-7)*r/r**(-3/7)*r assuming r is positive. r**(3/7) Simplify ((((z*z*z/(z*z*(z*z/(z**(-2)*z*z))/z*z)*z*z)/z)**(-48))**32)**(3/35) assuming z is positive. 1 Simplify (g*g*g/(g**(3/4)/g*g*g*g*g)*g)/(g*g**2)*((g/(g/(g*g**(1/9)))*g)/g)/((g**(-1/2)/g*g)/g) assuming g is positive. g**(-5/36) Simplify (((p*p**11)/p)**(1/40))**(10/17) assuming p is positive. p**(11/68) Simplify ((w*w/w**10*w)/(w**(12/5)/w*w))**(36/5) assuming w is positive. w**(-1692/25) Simplify (j*j*j/j**(-2/25)*j*j*(j/j**(-17)*j)/j*j)/(j**(-4)*j*j**(-1/20)) assuming j is positive. j**(2713/100) Simplify (((x*((x**(-2/3)*x*x*x)/x)/x)**(1/6))**(-2))**(-42) assuming x is positive. x**(56/3) Simplify q**15/q*q*(q/q**12)/q*q**(-15)*q**8 assuming q is positive. q**(-4) Simplify ((w/w**(-19))/(w**3/w))/(w**(3/4)*(w*w**10*w*w)/w) assuming w is positive. w**(21/4) Simplify ((h/(h**34/h))/(h**(-9)*h))/(h**8*h*h)**13 assuming h is positive. h**(-154) Simplify (q*q**(-3))**(-20/9)/(q**10*q/(q*q**(-12))*q*q) assuming q is positive. q**(-176/9) Simplify (((o/o**(-2/11))/o)/(o*o*(o/((o*o**13)/o))/o))/((o/(o*o**(-6/11)))/(o/o**(-8))) assuming o is positive. o**(216/11) Simplify (v/((v**0*v)/v*v)*v**(-6)/v*(v/v**(-2/3))/v**(-2/11))**0 assuming v is positive. 1 Simplify (k*k**(-2/3)*k)**48/(k**(-2/69)/k**12) assuming k is positive. k**(5246/69) Simplify (h/(h/(h**1*h))*h)**(-6/7)*h**0/(h/h**(-7/5)*h) assuming h is positive. h**(-209/35) Simplify (i**(-8)*i**0*i**(-5/6)/(i/(i/(i/(i*(i**2/i)/i*i)))*i))**(-11/3) assuming i is positive. i**(583/18) Simplify ((((y**14/y)/y)**(-3/40))**29)**(2/15) assuming y is positive. y**(-87/25) Simplify ((b/(b/b**(6/13)*b))/b*b*b)/(b**(-1/8)/b)*(b*b**(4/5))/b**(-6/13) assuming b is positive. b**(2001/520) Simplify ((v**(-3)*v/(v**(-1)*v*v)*v*v*v)**(-25/4))**(-6/23) assuming v is positive. 1 Simplify ((f/(f*f/f**(-2/25)))/f**16)/((f*f**(-15)*f)/(f*f/f**(-2/15))) assuming f is positive. f**(-146/75) Simplify ((p**2)**(-25))**(9/8) assuming p is positive. p**(-225/4) Simplify (x*x**(-27))**(11/3)*(x*x**(-2/29)*x)/x**(3/13) assuming x is positive. x**(-105899/1131) Simplify (c**19*c*c)/c*c*c**(1/21)/c*c*c/c**(-7)*c*c**(-27) assuming c is positive. c**(64/21) Simplify (y/(y**(-2)*y)*y*y*y**(-22)*y)/(y**(-3)/((y**(-33)*y)/y)) assuming y is positive. y**(-47) Simplify y*y**(-6)*y*y**(4/7)*(y**(-5/4)/y)/y*y*y**10*y assuming y is positive. y**(149/28) Simplify t**(-2)*t*t**(-2)/t*(t*t/(t*t**(-1/3)))**(-8) assuming t is positive. t**(-44/3) Simplify r**(3/7)/r**(-2/33)*(r*r**(1/10))**17 assuming r is positive. r**(44327/2310) Simplify (((d/d**0)/(d/d**(-3/7)))/(d/(d*d**1)*d)**27)**(-1/3) assuming d is positive. d**(1/7) Simplify ((((f*f**(1/2))/f*f)/f)**(-40)/(f/(f**2*f))**(-1/8))**18 assuming f is positive. f**(-729/2) Simplify n**23*n**(7/4)*(n**16*n*n)/(n*n/(n/(n**17/n))*n*n*n*n) assuming n is positive. n**(87/4) Simplify (t**(1/9))**(-24)*t**(3/5)/t**(-19) assuming t is positive. t**(254/15) Simplify (d**6*d**(-2/25)/d)/(d**(-1)/d)**(2/27) assuming d is positive. d**(3421/675) Simplify n*n/(n/(n*n**10))*n**11/n*n*(n/((n/n**6)/n)*n)**(-9) assuming n is positive. n**(-49) Simplify ((n**(2/9)/((n*n*n**(-1/6)*n*n*n)/n))**43)**(-19) assuming n is positive. n**(53105/18) Simplify (z*z/(z*z*z**(2/11))*z*z)**(17/4)*z**(-4)/(z/(z*z**14*z)) assuming z is positive. z**(206/11) Simplify (h**(-19)/(h*h**(2/11)))**(-2/7) assuming h is positive. h**(444/77) Simplify ((m**(-9)/m)/(m/m**(-12)))**8 assuming m is positive. m**(-184) Simplify (r**(-13)*r)**(1/12)/(r**5)**(-12) assuming r is positive. r**59 Simplify (g/(g/g**(17/3)*g))**13*g**35/((g/(g/g**(-6)))/g) assuming g is positive. g**(308/3) Simplify ((y*y**(-1/19))/(y/(y*((((y/(y**(5/6)*y))/y)/y)/y)/y)))/(y**(-4))**45 assuming y is positive. y**(20077/114) Simplify (l**4)**(-47)*l/l**(2/21)*l**3/l assuming l is positive. l**(-3887/21) Simplify ((u**(8/5))**37)**(-49) assuming u is positive. u**(-14504/5) Simplify u**(10/11)*u*((u/((u*u**(2/35)/u)/u)*u)/u)/u*u*((u**(-8)*u)/u)**(7/5) assuming u is positive. u**(-2829/385) Simplify ((g**18/g)**(-6))**(-2/35) assuming g is positive. g**(204/35) Simplify (a*a**(-5)*a*a)**(-1/50)/(a/(a**1*a))**(-13/4) assuming a is positive. a**(-321/100) Simplify ((i**6*i)/(i/((i*i**(-2/7)*i)/i)))/(i**(-2)*i)**(-11) assuming i is positive. i**(-30/7) Simplify (h**(-30)/h**9)/(h**(-3/13))**(-29) assuming h is positive. h**(-594/13) Simplify ((u**(-2/5))**(17/4)*(u/u**(-2/5)*u)/u**6)**(3/4) a
{ "pile_set_name": "DM Mathematics" }
3))/(56/42). Which is the smallest value? (a) s (b) u (c) g a Let u = 3 + -2. Let q = -1.1 + u. Let p = q + -0.3. Which is the third smallest value? (a) p (b) -0.2 (c) 1/9 c Let y = 0.4 - 3.4. What is the fourth smallest value in y, 0.4, 0.2, 2? 2 Let j be -1 + ((-10)/8 - -2). Let h = -1.986 - 0.014. Which is the smallest value? (a) h (b) 2/5 (c) j a Let c = 9.5 + -3.8. Let z = -0.7 + c. What is the third biggest value in -0.1, z, -1/4? -1/4 Let u = 40 - 37. Which is the fourth biggest value? (a) 10 (b) 0.4 (c) -4 (d) u c Let z = 1/30 + -19/30. Let m = -11 - -25. Suppose 5*b = -m + 4. What is the biggest value in z, 1/3, b? 1/3 Let h = -81 - -128. Let m = -51 + h. Let f = -0.2 - 0.2. What is the third biggest value in 2/11, f, m? m Suppose -5*u - 12 = c, -18 = -7*c + 3*c + 2*u. What is the third smallest value in 2, -0.1, c, -5? 2 Let l = -4.2 - -4.3. Let f = -219/2 + 107. Which is the third smallest value? (a) f (b) -2 (c) l c Let f = -8 - -6. Let h = -2.5 - f. Let w be (-4 + 3)*(-1)/(-3). What is the biggest value in -0.1, h, w? -0.1 Let w = 289/10 - 29. Let r be (2/(-4))/((-1)/(-6)). Let x = 3 + r. What is the biggest value in x, w, 3? 3 Let y(c) = -c**2 - 5*c + 2. Let u be y(-6). Let o be ((-1)/2)/(10/u). What is the smallest value in 3, 0.4, o? o Let i = -2/7 - -17/35. What is the second smallest value in -4, i, -0.5? -0.5 Let h be -3 + 3 + (-1 + 2)/(-1). Which is the third biggest value? (a) 4 (b) h (c) -1/2 b Let t = -0.2 + 0.18. Let z = -0.08 - t. Let x = 1.94 - z. What is the second biggest value in 3/5, x, -1? 3/5 Suppose -4 = w - 2*w. Suppose 0 = 2*g + t - 3*t + 2, 4*t + 4 = -w*g. Let s be (g - 9/(-7)) + 0. Which is the third smallest value? (a) s (b) -1/2 (c) 5/4 c Let i be 14/(-28) - 3/(-2). Which is the second biggest value? (a) 2/9 (b) 10 (c) i c Let s = 1 - 0.6. Let b = s - 0.4. Let c = 1 - b. What is the third biggest value in c, 0.2, 5? 0.2 Let b = -44 + 49. What is the second smallest value in 4, b, 0.05? 4 Let b = 2.4 - -2. Let h = b - 4. What is the second smallest value in 1.2, h, 1? 1 Let t be (-14)/8 - 1/4. Let p = 1.7 + -1.8. What is the second smallest value in p, -5, t? t Suppose 2 = 2*r - 4*d, 2*r + 0*d = 5*d. Let z = 9.8 - 7. Let w = z - -0.2. Which is the biggest value? (a) 1 (b) w (c) r c Let z = 1 + -1. What is the third biggest value in z, 0.3, -0.2? -0.2 Let q = -742/3 + 3347/15. Suppose 0 = -2*u + 2*k - 58, 5*k = -2*u + k - 34. Let z = q - u. What is the second biggest value in -0.4, z, 1/4? 1/4 Let p = 3 + -2.8. Which is the third smallest value? (a) -1/8 (b) p (c) 3/5 c Let g = 33.8 - 34. Which is the second smallest value? (a) 3 (b) g (c) -5 b Let z = -0.04 - -0.34. Let y = 101 + -503/5. Which is the second smallest value? (a) -5 (b) z (c) y b Let o = 3.14 - 7.28. Let f = o - -0.14. Let b be (1 - 5)*(-1)/(-14). What is the biggest value in b, f, -1? b Let z = -0.123 - -0.153. Which is the biggest value? (a) -2/5 (b) z (c) -6 b Let g = -0.2 + -0.3. Suppose 20*k = 18*k - 6. What is the smallest value in k, g, -0.1? k Let m = 0.6 - -4.4. Let u = 1094/7 + -156. Which is the third biggest value? (a) 1 (b) m (c) u c Let n = -0.5 + -1.5. Let b = n - 3. What is the third smallest value in -0.4, -4, b? -0.4 Suppose -8 - 4 = 3*g. What is the third biggest value in 2/5, 1/6, g? g Let q = -1/62 - 245/186. Let v = 25 - 22. What is the smallest value in -1, v, q? q Let j be (16/(-32))/((-10)/(-8)). Which is the third smallest value? (a) j (b) -5 (c) 0.1 (d) 0.5 c Let t(g) = -2*g**2 + 1. Let c be t(-1). What is the second biggest value in 5, c, 0.4? 0.4 Let f = -38 - -37.8. What is the biggest value in f, 5, -0.5, -1? 5 Let w be 1/(-5*((-20)/(-8) + -2)). Which is the third smallest value? (a) -46 (b) -4 (c) w c Let h = 0.1 + -0.1. Let i = -1.9 + 2.1. What is the biggest value in -3, h, i? i Let g = 23 - 20.7. Let n = -0.1 - -0.8. Let z = g + n. What is the third biggest value in 1, 1/10, z? 1/10 Suppose -3*z + 2*s = 7, 0 = 3*z + 2*z - 2*s + 17. Let g be 6/15 - (-32)/20. Which is the third biggest value? (a) g (b) z (c) -2/7 b Let b = 433/498 - 3/83. Suppose -7*n = -8*n + 8. What is the third smallest value in b, n, 3? n Let y be 3786/2052 + 2/(-6). Let k = y + -2/171. Which is the second biggest value? (a) 1/4 (b) k (c) 2 b Let r = -0.3 + -0.1. Let g = -0.7 - r. Suppose -3*p + 4*k = 3*k + 11, -p + 7 = 5*k. Which is the third biggest value? (a) p (b) 0.5 (c) g a Let h = 42 + -32. Which is the second smallest value? (a) 3 (b) 5 (c) h b Let u = 12 + -7. Which is the fourth biggest value? (a) -7/2 (b) -0.2 (c) u (d) -3 a Let y be (1 - 6)/((-1)/(-4)). Let d = 24 + y. What is the second biggest value in -2/11, d, -0.04? -0.04 Let m(o) = 2*o - 13. Let x be m(6). Let i be (x/(-3))/(1/(-15)). Which is the second smallest value? (a) -0.1 (b) 1 (c) i a Suppose 0 = -r + 6 + 2. Suppose 1 = -3*t - r. What is the third smallest value in t, 0.4, -0.1? 0.4 Let g = 0.24 + -0.04. Let m = -0.6 + g. Let p = 0.8 + m. What is the second biggest value in 0, p, 0.5? p Suppose 32 - 1 = -2*n + 5*l, 0 = -2*n - 2*l + 4. What is the second smallest value in n, 1, -2/9, 5/3? -2/9 Let h be (1/2)/((-1)/(-3)). Let f be 2 + (-1952)/28 + -4. Let k = f - -72. Which is the biggest value? (a) k (b) -1/7 (c) h c Let q = 0.27 - -0.03. Let m be (-14)/30*(-3050)/6. Let y = m + -237. Which is the third smallest value? (a) -2/5 (b) q (c) y b Let n = 14.07 - 14. Let y = n + -0.37. What is the smallest value in -2/3, y, -3? -3 Let h = -11.3 + 10. Let z = 0.3 + h. Let p = 9 + -25/3. What is the second biggest value in z, -5, p? z Let n be (-12)/20 - (-3)/(-45). Let w = 0.3 + 1.7. What is the third smallest value in -1/2, w, n? w Let i = 14 - 13.94. Let w = i + -0.76. What is the biggest value in -2/9, 0.2, w? 0.2 Let i be (-1 - 1)*(8 + -6). Which is the smallest value? (a) i (b) -0.2 (c) -2 a Let m = 14 - 10. Let d = 1.2 - 1. Which is the third biggest value? (a) d (b) 0.1 (c) m b Let x = -0.08 + 5.18. Let h = x + -1.1. What is the second biggest value in 3, 1, h? 3 Let r be 3/(-4)*-4*(-20)/48. Which is the biggest value? (a) 0 (b) r (c) 3 c Let l = 4/29 + -11/290. Which is the smallest value? (a) 0.3 (b) 0.4 (c) l c Let p be (1/2)/((-2)/(-6)). Let h = 3 + -2.3. Let t = -0.8 + h. Which is the biggest value? (a) t (b) -2 (c) p c Let z(h) = h**2 + 9*h - 39. Let s be z(-12). What is the smallest value in s, 4, -2, -0.1? s Suppose f + 12 = 4*f. Let g(h) = h**2 - 2*h - 3. Let s be g(f). Which is the biggest value? (a) -2/13 (b) s (c) -0.5 b Let x = -4.2 + 4. What is the third biggest value in -3, x, -0.4? -3 Suppose 2*h = 4*h - 2. Suppose 4*r - 5*r = -5. Which is the second smallest value? (a) h (b) 1/4 (c) r a Let s = -15 - -15.05. Let j = s - 0.55. Which is the third biggest value? (a) 1 (b) j (c) 2 b Let s = 4.71 - 0.01. Let t = -2 + s. Let g = t - -0.3. What is the third biggest value in g, 0.5, 5? 0.5 Let n = 1.58 + -1.88. What is the fourth smallest value in -1/2, 0.1, 3, n? 3 Suppose l = u - 2*u - 2, 4*l = 5*u - 8. Which is the second biggest value? (a) 3 (b) u (c) 7 a Let n = 0.2 - -0.1. Let s = 28 - 28. Let k be (-2)/15 - (-2 - -2). Which is the second smallest value? (a) n (b) k (c) s c Let q = 10614 + -551951/52. Let m = -4/13 + q. Which is the second biggest value? (a) m (b) 1/6 (c) -4 a Let g be 14 - 3/(-4 + 1). Suppose -2*x - g = -5*x. Which is the smallest value? (a) x (b) -2 (c) 2 b Let v = -4.89 + -0.11. Let y = -102 + 105. Let s = v + y. Which is the third smallest value? (a) -0.1 (b) -3/4 (c) s a Let h = -56/5 + 11. Which is the third smallest value? (a) h (b) -4 (c) 1/7 c Suppose 5*s + 56 = 5*x + 11, 8 = -4*s - 3*x. What is the biggest value in s, -1, 2/31? 2/31 Let d(x) = -x + 5. Let i be d(3). Let l be (1/i)/((-1)/2). What is the smallest value in -2/25, 4, l? l Let b = 31 - 26. What is the second biggest value in -4, -2/7, 3, b? 3 Let k be ((-4)/(-6))/((-5)/(-15)). Suppose -2*i + 0*i - 18 = 3*w, -k*w - 2*i - 14 = 0. Which is the biggest value? (a) -1/3 (b) w (c) -1/4 c Suppose 3*h = 5*h - 40. Suppose 0*k + 5*k - h = 0. Let p = -10 - -10.2. What is the smallest value in k, p, -5? -5 Let n = -1 + 1. Let o = 43 - 28. Let z = -15.2
{ "pile_set_name": "DM Mathematics" }
= 0 for h. -6 Solve 334*s + 108 = -327*s + 657*s for s. -27 Solve 8*g - 485 + 613 = 0 for g. -16 Solve -100 = -93*z + 551 for z. 7 Solve 336 = 56*x - 124*x + 52*x for x. -21 Solve 7*l - 13*l = 9*l + 23*l for l. 0 Solve -9*c + 101 + 20 = 22 for c. 11 Solve -311 = 15*b - 704 + 348 for b. 3 Solve 0 = -99*u + 144*u - 270 for u. 6 Solve 8*k + 5 = -35 for k. -5 Solve 17*m = 65*m - 20*m + 28 for m. -1 Solve -418*m + 465 = 15095 for m. -35 Solve -10 + 63 = -33*y - 13 for y. -2 Solve -87*v + 88*v - 10 = 0 for v. 10 Solve -184*y = -132*y + 520 for y. -10 Solve 0 = 445*p - 76 + 10756 for p. -24 Solve -9*v - 354 = 41*v - 4 for v. -7 Solve 23*n - 83 = -76*n + 16 for n. 1 Solve -32036*o - 1525 = -32097*o for o. 25 Solve -6 - 2 = 26*t - 25*t for t. -8 Solve 19 = 12*b + 25*b + 19 for b. 0 Solve 0 = 71*s + 17*s - 1228 - 268 for s. 17 Solve 53*s = 76*s - 293*s + 540 for s. 2 Solve 0 = 22*v + 2954 - 2778 for v. -8 Solve 2527 - 4247 = -86*w for w. 20 Solve -852*r = 693*r for r. 0 Solve -54*q - 197*q = -1410 - 849 for q. 9 Solve 129*n + 58*n + 2244 = 0 for n. -12 Solve -170*g + 51*g - 1071 = 0 for g. -9 Solve 0 = -394*a + 182*a - 3604 for a. -17 Solve 493 = 132*j + 3001 for j. -19 Solve -9*g - 80 = 6*g + 25*g for g. -2 Solve 255*l + 48 = 513*l - 256*l for l. 24 Solve 49*u + 193 = -95*u - 95 for u. -2 Solve -9052 = -564*t + 3485 - 2385 for t. 18 Solve 226*y = -868 - 714 for y. -7 Solve -892*v + 18535 = -3765 for v. 25 Solve 0 = 79*a - 13*a - 0*a - 1056 for a. 16 Solve -18*h - 28*h + 223 = -881 for h. 24 Solve 2946 = -12*p + 2658 for p. -24 Solve -406*q - 198 = -373*q for q. -6 Solve 1000*t = 1075*t + 2250 for t. -30 Solve -84 + 152 = w + 77 for w. -9 Solve 273*c + 1212 = -2133 + 1161 for c. -8 Solve 0 = 38*w + 95 + 171 for w. -7 Solve 10*n - 474 = -514 for n. -4 Solve 0 = -120*w + 306 - 3186 for w. -24 Solve -16 = -15*x - 71 - 110 for x. -11 Solve 436*a = -430*a + 31176 for a. 36 Solve 0 = -16*f - 13 - 33 - 82 for f. -8 Solve 134*b - 2527 - 555 = 0 for b. 23 Solve 117 - 2171 = 441*x + 5002 for x. -16 Solve -53*y - 88 + 193 = -160 for y. 5 Solve 81*v - 72*v + 1908 = -97*v for v. -18 Solve 2069*y + 26 = 2071*y for y. 13 Solve -55 = 3*f + 26 - 45 for f. -12 Solve 137*c - 155*c = 18 for c. -1 Solve -303 = -10*q - 223 for q. 8 Solve -12465 - 5810 = -555*w - 2180 for w. 29 Solve 187 - 161 = 61*o - 828 for o. 14 Solve -20*r = -270*r + 5000 for r. 20 Solve 31*n + 38*n + 3003 = -162*n for n. -13 Solve -394*q - 43 = -351*q for q. -1 Solve -214*x = -61*x + 1530 for x. -10 Solve -320136*a = -320153*a + 425 for a. 25 Solve 778*l + 360 = 760*l for l. -20 Solve 34*g + 37*g - 78 = 84*g for g. -6 Solve -718*v + 728*v = -220 for v. -22 Solve 0 = 182*i + 344*i + 3682 for i. -7 Solve 153 - 544 = 12*h - 223 for h. -14 Solve 27*n - 6*n = -15*n for n. 0 Solve 452*j = 420*j + 20 - 116 for j. -3 Solve 408*b + 108 = 390*b for b. -6 Solve -106*i + 152 + 254 - 88 = 0 for i. 3 Solve 90*i + 69*i + 587 = -367 for i. -6 Solve -44*k + 144 = 12 for k. 3 Solve 722 - 596 = -42*t for t. -3 Solve 0 = 20*h - 92*h + 348*h - 4692 for h. 17 Solve -317*n + 100 = -367*n for n. -2 Solve 33336*v = 33420*v - 168 for v. 2 Solve -45*d = 760 - 535 for d. -5 Solve -85*p - 80 + 83 = -252 for p. 3 Solve 324 = 43*y + 17*y - 42*y for y. 18 Solve -5*k + 2*k = -3*k + 8*k for k. 0 Solve 0 = -94*h + 1483 + 1055 for h. 27 Solve 3920 + 1624 = -168*p for p. -33 Solve -5*s - 57*s = 868 for s. -14 Solve -12*o + 2*o - 203 = 19*o for o. -7 Solve 1236 = 90*o - 648 + 444 for o. 16 Solve 0 = 433*z - 484*z + 1326 for z. 26 Solve -103*b + 229*b + 333 = 89*b for b. -9 Solve 4*w + 29 = w - 7 for w. -12 Solve 42*z + 32*z + 900 = -16*z for z. -10 Solve -13*n - 14*n - 20*n - 282 = 0 for n. -6 Solve 119*a = 5*a + 1824 for a. 16 Solve -28*l + 1429 - 1065 = 0 for l. 13 Solve -w + 62*w + 242 = 1096 for w. 14 Solve -352 = 223*l - 2582 for l. 10 Solve 384 + 1 = -90*c - 155 for c. -6 Solve 182*j - 1579 + 4491 = 0 for j. -16 Solve -17*x - 1315 = -1009 for x. -18 Solve 0 = 152*t - 95*t + 627 for t. -11 Solve 110*i + 1635 = 425 for i. -11 Solve -90*i = -447 - 453 - 540 for i. 16 Solve 234*x + 611 - 35 = 270*x for x. 16 Solve -71*j = 5*j - 6*j - 1470 for j. 21 Solve -9 - 33 - 2 = 44*f for f. -1 Solve 0 = 316*q - 8829 + 1877 for q. 22 Solve 108*v - 112*v = -20 for v. 5 Solve -c - 10 + 13 = -5 for c. 8 Solve 173 = 78*d + 17 for d. 2 Solve 0 = -9*b - 58*b + 895 + 512 for b. 21 Solve -531*j + 580*j = 63 + 966 for j. 21 Solve 1156 = 49*w + 372 for w. 16 Solve -114*s = 1268 - 128 for s. -10 Solve -154*y - 144 = 26 - 16 for y. -1 Solve -135*p + 18 = -118*p + 1 for p. 1 Solve 13238*u = 13276*u - 912 for u. 24 Solve 28*w = 175 + 189 for w. 13 Solve -21*d = -61 - 227 - 6 for d. 14 Solve -21*r - 30*r + 60*r = 81 for r. 9 Solve -5*o + 28*o + 144 = 14*o for o. -16 Solve 54*j + 13 = 15*j + 52 for j. 1 Solve 19230*b - 19234*b = -64 for b. 16 Solve -2952 = -107*g - 1668 for g. 12 Solve 338*c - 334 = 253*c + 601 for c. 11 Solve 0 = -256*f + 340*f + 168 for f. -2 Solve -8042 = -6*h - 8096 for h. -9 Solve 33*d + 124 = -338 for d. -14 Solve -236*n = 149*n + 179 + 206 for n. -1 Solve -55*y - 60*y - 160 = -965 for y. 7 Solve -27*l - 4 - 134 = -4*l for l. -6 Solve 2900 = -74982*z + 74866*z for z. -25 Solve -26*a - 31 + 288 = -107 for a. 14 Solve -480 = -1490*l - 12542 - 17738 for l. -20 Solve -38*z - 191*z = 1145 for z. -5 Solve -16 = -64*q - 82 - 62 for q. -2 Solve 4573 = -36*i + 3853 for i. -20 Solve -2888 = 807*c + 2761 for c. -7 Solve -7275 = -843*c + 11271 for c. 22 Solve 9962 - 9952 = 2*n for n. 5 Solve -2*h = -132 + 144 for h. -6 Solve 18*j - 364 = -8*j for j. 14 Solve 11*d = -18*d + 14*d + 195 for d. 13 Solve 0 = 57*a + 16 + 31 + 67 for a. -2 Solve -240 = -7392*f + 7440*f for f. -5 Solve -35 - 38 = 22*f - 7 for f. -3 Solve -10089 = -446*k - 5596 + 6211 for k. 24 Solve 22*f + 29 - 38 + 97 = 0 for f. -4 Solve 0 = 2421*f - 1213*f - 1221*f - 52 for f. -4 Solve 7*u = 6 - 5 - 8 for u. -1 Solve 60*t = 254 - 20 + 126 for t. 6 Solve 5440 = 79*q + 4492 for q. 12 Solve 27*c + 29*c = 33*c - 253 for c. -11 Solve 73 - 18 = -19*z - 40 for z. -5 Solve -105*f - 5566 = -8401 for f. 27 Solve -77*i - 27 = -56*i - 6 for i. -1 Solve -2826 = 274*l - 4744 for l. 7 Solve 0 = -60*c - 7110 + 6090 for c. -17 Solve -810 = -134*g - 6 for g. 6 Solve -1347*s = -1357*s - 70 for s. -7 Solve -91 = 66*y - 450 - 367 for y. 11 Solve -25*p + 182 + 141 = -8*p for p. 19 Solve -1549*t + 1956 = -1712*t for t. -12 Solve 3 - 246 = 81*w for w. -3 Solve 53 + 21 = 48*f + 26 for f. 1 Solve 2203 = 40*j - 237*j - 1934 for j. -21 Solve 0 = 20*i - 110 + 390 for i. -14 Solve -108*z = -0 - 8 - 208 for z. 2 Solve 1 = 33*k + 145 - 12 for k. -4 Solve 1213 + 1352 = -330*r - 2385 for r. -15 Solve -335*v = -195*v - 420 for v. 3 Solve -12*u = 8*u + 160 for u. -8 Solve 0 = -20761*v + 20747*v - 84 for v. -6 Solve 11*u + 4*u - 160 = -u for u. 10 Solve -169*l = -51*l - 1786 + 370 for l. 12 Solve -123*a + 84*a - 39 = 0 for a. -1 Solve 181*k - 361 = 759 + 328 for k. 8 Solve -594*g = -236*g - 5012 for g. 14 Solve -158*p + 709 = 147*p - 5696 for p. 21 Solve -5641 = 115*w - 7251 for w. 14 Solve 0 = 57*o + 81*o - 1242 for o. 9 Solve -147 = -97*s + 484 + 436 for s. 11 Solve -7*f = -3782 + 3691 for f. 13 Solve 102*a - 311*a = 3762 for a. -18 Solve 1157139 - 1157945 = 31*i for i. -26 Solve -864*n + 11615 = 2975 for n. 10 Solve -6684 = 71*j - 6755 for j. 1 Solve 44*q + 76*q = -600 for q. -5 Solve 200*t + 870 = 142*t for t. -15 Solve -25*f + 739 + 316 = 405 for f. 26 Solve 1061*l - 1872 = 957*l for l. 18 Solve -94*m - 963 = -174 + 339 for m. -12 Solve 460 = -69*o - 92 for o. -8 Solve -2898*p = -2800*p + 980 for p. -10 Solve 41*d - 7*d = 202*d + 3696 for d. -22 Solve 0 = -873*l + 931 + 1688 for l. 3 Solve -9974 = -373*g - 649 for g. 25 Solve -184 - 144 + 8 = -32*m for m. 10 Solve 64*w - 74*w + 10 = 0 for w. 1 Solve 0 = 13*q + 30 + 126 for q. -12 Solve 86*v + 29*v + 230 = 0 for v. -2 Solve -171*f + 131*f - 160 = 0 for f. -4 Solve -2350 = 45*x - 1315 for x. -23 Solve -4579*w = -4556*w - 23 for w. 1 Solve -2945 + 8423 = 498*n for n. 11 Solve 67258*q = 67291*q - 561 for q. 17 Solve 0 = -232*i + 21 + 1139 for i. 5 Solve 136*j - 3100 = -2420 for j. 5 Solve 134*s = -47*s + 25*s + 1092 for s. 7 Solve 12*p + 1701 = -77*p + 8*p for p. -21 Solve
{ "pile_set_name": "DM Mathematics" }
s(22). Suppose -217 - 10*u**3 + 4*u**r - 12*u**2 - 68*u + 30*u**3 + 177 = 0. Calculate u. -5, -1, 2 Let v be 4/((-808)/120 + 7). Factor -4*n**2 + 35*n**2 - 2*n**4 - 3*n**4 + 10*n - 10*n**3 - v*n**2 - 11*n**2. -5*n*(n - 1)*(n + 1)*(n + 2) Factor 15/8*h**4 + 0 + 29/4*h**3 + 37/8*h**2 - 3/4*h. h*(h + 1)*(h + 3)*(15*h - 2)/8 Let j(t) = 4*t + 4 - 2*t + 0 + 12. Let s be j(-6). Factor -20*x**3 + 16*x**s + 5*x**5 + x**2 + 7*x**2 - 9*x**5. -4*x**2*(x - 2)*(x - 1)**2 Let m(y) be the second derivative of -11*y + 175/24*y**4 - 49/40*y**5 - 69/4*y**3 + 12 + 81/4*y**2. Factor m(q). -(q - 1)*(7*q - 9)**2/2 Let y = 6733/4 + -48963/28. Let b = -65 - y. What is n in 12/7*n**2 + 1/7*n**4 + 10/7*n + b + 6/7*n**3 = 0? -3, -1 Factor -294*j**3 + 36*j**2 - 42 - 272*j**3 + 244*j - 199*j + 527*j**3. -3*(j - 1)**2*(13*j + 14) Let y(t) = -16*t**2 - 4*t - 2. Let k be y(-2). Let d = k - -62. Factor 1 + 6*x + d - 4 - 4*x**3 + 4*x**2 - 6*x**4 + 1 - 2*x**5. -2*(x - 1)*(x + 1)**4 Factor -1/5*p**4 - 126/5*p + 0 - 12*p**3 + 187/5*p**2. -p*(p - 2)*(p - 1)*(p + 63)/5 Let k(n) be the third derivative of -n**9/36288 + n**8/20160 + 37*n**5/12 + 217*n**2. Let w(g) be the third derivative of k(g). Factor w(f). -f**2*(5*f - 3)/3 Let v(n) be the second derivative of n**5/20 - 5*n**4/6 - 2*n**3 + 13*n**2/2 + 21*n. Let g be v(11). Let 5*q**2 - 52*q + 2*q - g*q**2 + 2*q**2 = 0. What is q? 0, 10 Let z be 900/315 + 344/56 + (-4 - 0). Let 20 - 2*n + 1/2*n**3 - z*n**2 = 0. What is n? -2, 2, 10 Let m(u) be the third derivative of 35/6*u**5 + 2/7*u**7 + 128*u**2 - 11/6*u**6 + 35/3*u**3 + 0*u + 0 - 85/8*u**4 - 5/336*u**8. Factor m(b). -5*(b - 7)*(b - 2)*(b - 1)**3 Let g(m) be the first derivative of m**4/4 - 20*m**3 + 306*m**2 - 1728*m + 288. Let g(c) = 0. What is c? 6, 48 Let o(i) be the first derivative of 1/3*i**4 - 4*i**2 + 2/3*i**3 - 17 - 28*i. Let h(z) be the first derivative of o(z). Factor h(t). 4*(t - 1)*(t + 2) Let j be (-288)/(-24) - (7 + -1) - (-11)/(-2). Let b(m) be the first derivative of -13 + 2*m**3 + j*m**4 - 8*m + 0*m**2. Solve b(v) = 0 for v. -2, 1 Suppose -3*z + 4*z + 15 = 5*c, -35 = -5*c - 3*z. Factor -3*r**2 + 9*r**4 - 7*r**4 + r**c + 3*r**3 - 3*r. 3*r*(r - 1)*(r + 1)**2 Factor 5*b**4 - 6*b**3 - 2*b**3 - 5*b**2 + 179*b - 204*b + 33*b**3. 5*b*(b - 1)*(b + 1)*(b + 5) Let u(y) be the first derivative of -y**5/5 - 49*y**4/4 - 592*y**3/3 - 1056*y**2 - 5113. Solve u(v) = 0. -33, -8, 0 Let w(d) be the third derivative of -d**6/240 - 51*d**5/40 - 1925*d**4/16 + 5929*d**3/12 + 2024*d**2. Factor w(l). -(l - 1)*(l + 77)**2/2 Let x be (-10*((-91)/56)/13)/(3/12). Let f(j) = 3*j + 30. Let s be f(-10). Factor -4/3*v**2 - 4*v**x + 0*v - 20/3*v**3 + s - 28/3*v**4. -4*v**2*(v + 1)**2*(3*v + 1)/3 Suppose 5*i + 30 = 165*v - 160*v, 4*i = -5*v + 48. Determine c, given that -22/3*c**2 - 3 - v*c - 8/3*c**3 - 1/3*c**4 = 0. -3, -1 Let d(q) = 4*q**2 + 5*q - 2422. Let j be d(24). Factor 4*t + 2*t**3 - 13/3*t**j - 1/3*t**4 - 4/3. -(t - 2)**2*(t - 1)**2/3 Let h(p) be the second derivative of p**5/20 + 7*p**4/6 + 3*p**3/2 - 11*p**2 - 16*p. Let v be h(-13). Factor -196 - 27*m - v*m - 3*m**2 + 2*m**2 + 29*m. -(m + 14)**2 What is n in 16/7*n**4 + 2816/7*n**2 - 4096/7*n + 0 - 576/7*n**3 + 4/7*n**5 = 0? -16, 0, 4 Let k(g) be the third derivative of -5*g**8/336 + 9*g**7/14 - 83*g**6/12 - 21*g**5 + 245*g**4/3 + 177*g**2. Determine a, given that k(a) = 0. -2, 0, 1, 14 Let v(j) be the third derivative of j**6/120 - 4*j**5/45 - j**4/6 + 1267*j**2. What is w in v(w) = 0? -2/3, 0, 6 Let a(c) be the third derivative of c**8/4032 - 31*c**7/1008 - 2*c**6/9 - c**5/6 - 35*c**2. Let u(p) be the third derivative of a(p). Let u(v) = 0. Calculate v. -1, 32 Let w be (21/(-6))/((-1 + (-63)/(-72))*12). Find c such that 23/3*c + 10/3 + w*c**3 - 40/3*c**2 = 0. -2/7, 1, 5 Let j(r) be the first derivative of r**4 + 80*r**3 + 456*r**2 + 896*r - 1724. Solve j(z) = 0. -56, -2 Let x be 260/36 + -5 - (-4)/(-18). Let p(i) be the first derivative of -3*i**x + 0*i**4 - 3*i**4 + 6 - 7*i**3 + 3 + 3*i. What is m in p(m) = 0? -1, 1/4 Solve -116/3*r**2 - 64/3 + 134/15*r**3 + 256/5*r + 0*r**4 - 2/15*r**5 = 0. -10, 1, 4 Let w(i) = 688*i - 2749. Let d be w(4). Let x(a) be the first derivative of 0*a - 2/15*a**2 - 1/30*a**4 + 13 + 2/15*a**d. Factor x(n). -2*n*(n - 2)*(n - 1)/15 Find u, given that -24*u**3 - 2*u**4 - 322*u**2 + 113*u**3 + 492*u - 135*u**3 - 122*u**3 = 0. -82, -3, 0, 1 Suppose 0 = -275*c + 454 - 211 + 582. Factor 183/7*h**2 - 576/7*h + 108/7 - 15/7*h**c. -3*(h - 6)**2*(5*h - 1)/7 Let c(m) be the second derivative of 3*m**7/14 + m**6/10 - 89*m**5/20 - 31*m**4/12 + 12*m**3 + 18*m**2 - m + 54. Solve c(h) = 0 for h. -3, -2/3, 1, 3 Let l = -297 + 282. Let f be (l + (-948)/(-60))*(-5)/(-2). Let -2/13*m**f - 20/13 - 14/13*m = 0. What is m? -5, -2 Let q(b) be the first derivative of b**4/2 + 108*b**3 - 163*b**2 - 2917. Factor q(a). 2*a*(a - 1)*(a + 163) Let x be ((-36)/(-288))/(9/12) + 11/6. Factor 28/3*v + 4/3 + 8*v**x. 4*(v + 1)*(6*v + 1)/3 Factor -2/5*z**3 + 992/5 - 528/5*z + 78/5*z**2. -2*(z - 31)*(z - 4)**2/5 Suppose -4*o = 5*a - 71, 56 = 2*a + 5*o + 14. Factor -m**2 + 2*m**2 + 4*m**3 - m**5 - 5*m**4 + 692*m + 4 - a*m**3 - 684*m. -(m - 1)*(m + 1)**2*(m + 2)**2 Let c(h) = -113*h - 221. Let o be c(-2). Let l(z) be the first derivative of -10*z - o*z**3 + z**5 + 27 - 5/4*z**4 + 25/2*z**2. Find i, given that l(i) = 0. -2, 1 Let c = 52 - -1. Find k such that -12*k - 48 + 92 - 3*k**2 - c = 0. -3, -1 Suppose 0*x - x = -4*a + 70043, x + 17507 = a. Determine c, given that -6*c**4 + 7*c**2 - c**2 - 3*c**3 - a*c**5 + 17515*c**5 = 0. -1, 0, 1, 2 Let p be -3*(-6)/(-702)*6 + (3125/455 - 1). Suppose 2/7*y**3 + 74/7*y - 36/7 - p*y**2 = 0. Calculate y. 1, 18 Let m(d) be the second derivative of d**5/80 + 85*d**4/4 + 14450*d**3 + 4913000*d**2 + 2*d - 934. Solve m(n) = 0. -340 Let w = -283258/7 - -40466. Let 2/7*x**4 - 8/7*x**3 + 8/7*x + w*x**2 - 6/7 = 0. Calculate x. -1, 1, 3 Factor -39996/5*n - 4/5*n**3 + 804/5*n**2 - 40804/5. -4*(n - 101)**2*(n + 1)/5 Find p, given that 1000/9*p + 496/9 - 356/9*p**2 + 4/9*p**5 + 238/9*p**4 - 626/9*p**3 = 0. -62, -1, -1/2, 2 Let f = -38053 - -76107/2. Factor -1/4*a**3 - f*a**2 + 3/4*a + 0. -a*(a - 1)*(a + 3)/4 Suppose 5*f = d + 17, f = -4*d + 5*f - 4. Suppose -6*b = -d*b - 5*w - 13, 29 = 5*b - w. Factor 0*q**2 + 6*q + 3*q**2 + 0*q**2 - 3 - b*q**2. -3*(q - 1)**2 Suppose -5*p + 2*v + 2*v = 34, 3 = 3*v. Let o be -2*4*p/24. Factor 8/7*l + 8/7*l**o + 2/7*l**3 + 0. 2*l*(l + 2)**2/7 Let w(j) be the second derivative of 13/5*j**5 + 7 - 47/30*j**4 + 0*j**2 - 2/15*j**3 + 13*j. Factor w(c). 2*c*(5*c - 2)*(26*c + 1)/5 Let z(t) = 20*t**3 - 8*t**2 - 12*t - 8. Let q(i) be the first derivative of -7*i**4/4 + i**3 + 2*i**2 + 3*i + 88. Let y(x) = -8*q(x) - 3*z(x). Factor y(g). -4*g*(g - 1)*(g + 1) Let n = 5431 - 3871. Let u be 6903/n + (-3)/(-8). Solve 21/5*i**2 - u + 78/5*i = 0 for i. -4, 2/7 Let d(x) be the third derivative of -3*x**2 + 17 + 0*x - 4/3*x**4 + 1/30*x**5 + 28/3*x**3. Let d(h) = 0. What is h? 2, 14 Find l such that 13*l**3 - 31*l**2 + 11*l - 3/5*l**4 + 38/5 = 0. -1/3, 1, 2, 19 Let k(v) = -v**3 - 15*v**2 - 2*v - 10. Let z(a) = -a - 9. Let n be z(6). Let m be k(n). Factor -m + 8 + 12 - h**5. -h**5 Let o(i) be the third derivative of -5*i**8/336 + 5*i**7/21 - 9*i**6/8 + i**5/6 + 25*i**4/3 - 2238*i**2. Let o(g) = 0. Calculate g. -1, 0, 2, 4, 5 Let r(o) be the second derivative of 3*o**6/5 + 384*o**5/5 + 8063*o**4/3 - 11008*o**3/3 + 1849*o**2 - 1312*o. Determine a, given that r(a) = 0. -43, 1/3 Let m = -15/8437 - -92837/16874. Determine r, given that 15/2*r - m*r**2 - 2 = 0. 4/11, 1 Let -3540*p**2 - 1/3*p**4 - 68400*p + 72000 - 179/3*p**3 = 0. Calculate p. -60, 1 Let o(h) be the first derivative of -h**5/20 + 181*h**4/16 - 713*h**3/12 + 887*h**2/8 - 177*h/2 - 3627. Solve o(p) = 0 for p. 1, 2, 177 Suppose -b + 3 + 15 = 4*l, -b - 2 = 0. Let t be l*(-3 + 51/15). Let x**t + 2*x - 7 - 5 + 13 = 0. What is x? -1 Let w(l) = 2*l**2 + 133*l - 240. Let n(h) = h**2 + 62*h - 120. Let j(x) = 9*n(x) - 4*w(x). Solve j(p) = 0 for p. -30, 4 Determine a, given that 2/13*a**2 - 792/13*a + 78408/13 = 0. 198 Let z be 3/(-1*9) - (-118)/3. Factor z*k + 5*k**3 + 50*k**2 - 15*k**2 - 9*k. 5*k*(k + 1)*(k + 6) Suppose 2 = -4*z + 3*z. Let h(q) = q - 2 +
{ "pile_set_name": "DM Mathematics" }
e Is 49621723931 a composite number? True Is 942479 composite? False Is 541078591 a composite number? False Is 24011551 composite? False Is 104173243 composite? False Is 999695903 a prime number? False Is 401131043 composite? True Is 1185068333 composite? True Is 511139611 composite? False Is 144428231 composite? False Is 1145160113 prime? True Is 12017748467 a composite number? False Is 2909749417 a composite number? False Is 56685407693 prime? False Is 49201103717 prime? True Is 143321034817 a prime number? False Is 44418296213 a prime number? True Is 2507816807 composite? False Is 48335393 composite? False Is 40242479671 a composite number? True Is 3728359717 prime? False Is 18672107383 composite? False Is 1383823499 composite? False Is 43182466 composite? True Is 828200221 prime? True Is 70354351 a prime number? True Is 853479539 a composite number? True Is 1199017451 a composite number? True Is 13022113187 prime? True Is 6399614513 a composite number? True Is 324368087 composite? False Is 905359219 composite? False Is 1051990861 prime? False Is 3888727147 a composite number? False Is 5173220543 a composite number? False Is 38648003 a prime number? True Is 70607143231 composite? False Is 119032133653 prime? True Is 14697552703 prime? True Is 52407806197 a prime number? False Is 3267760267 a composite number? True Is 30654041981 prime? False Is 812959969 prime? True Is 91555457239 a prime number? True Is 2276466761 a prime number? False Is 9107566431 composite? True Is 7037568247 a composite number? False Is 8970589897 a prime number? True Is 5027599303 a prime number? True Is 5904091703 a composite number? False Is 126370759 prime? True Is 438199877 a composite number? False Is 9144574891 prime? True Is 38127147673 prime? True Is 45786337 prime? True Is 29906422927 a composite number? True Is 72763028489 prime? True Is 13555073291 a prime number? True Is 1450768883 prime? False Is 15557880505 a prime number? False Is 3750252301 composite? True Is 10294819567 a composite number? True Is 19337135291 composite? False Is 430614791 composite? False Is 15914774237 composite? True Is 2258117239 prime? False Is 18369156977 a composite number? True Is 16756406581 prime? True Is 538351781 a prime number? False Is 18350304073 a prime number? False Is 6058691 prime? True Is 124247418994 a prime number? False Is 5012223 composite? True Is 17001520403 a prime number? False Is 142884941 a composite number? False Is 6495064351 prime? True Is 34943840681 a composite number? True Is 565453069 composite? True Is 176742187 composite? True Is 5762020483 a prime number? False Is 78028765293 composite? True Is 6717938698 a composite number? True Is 1052505743 a composite number? False Is 1527930731 composite? True Is 5013788041 prime? False Is 543045457 a prime number? True Is 110589774107 a prime number? False Is 487082107 prime? True Is 269510273 a composite number? False Is 599024369 a prime number? True Is 5980204049 a prime number? False Is 12329197 a prime number? True Is 70942243 prime? True Is 15441697681 composite? False Is 1445813843 a prime number? False Is 49200001 a prime number? False Is 1988781545 prime? False Is 19327554287 prime? True Is 258217397 a composite number? True Is 710471753 prime? True Is 14454792529 composite? False Is 3255091807 composite? True Is 1288468135 composite? True Is 6067262213 a composite number? True Is 250820323737 prime? False Is 40188173149 composite? True Is 324659806 a prime number? False Is 2812880353 a prime number? True Is 3005357431 a prime number? True Is 590865017 a composite number? False Is 136573859 composite? False Is 27033549799 composite? True Is 29762278937 a prime number? True Is 696611095 a composite number? True Is 3313053283 prime? False Is 394012777 a composite number? False Is 3267183481 prime? False Is 23393883367 a prime number? True Is 1933272659 prime? False Is 1420225663 prime? False Is 52588977513 a composite number? True Is 150858601 prime? False Is 6417397 composite? True Is 6290488241 composite? True Is 96176520593 composite? True Is 15919910059 a composite number? False Is 40967077111 a composite number? True Is 123240490187 prime? True Is 12360228379 prime? True Is 11720837279 composite? False Is 644111309 prime? True Is 109335306517 a composite number? True Is 5616944155 composite? True Is 2401763465 a prime number? False Is 3973960127 prime? False Is 362473549 a prime number? True Is 23255421359 prime? False Is 1455270891 a prime number? False Is 333109286 a composite number? True Is 85961467871 a composite number? False Is 1473573869 composite? False Is 294377227 a prime number? True Is 4676891669 a prime number? False Is 26373676573 a composite number? False Is 1383049253 a composite number? False Is 1753334719 a prime number? True Is 2667960907 a prime number? False Is 72803258995 a composite number? True Is 5300559679 composite? True Is 538328627 composite? False Is 61533585803 composite? False Is 5724264619 prime? False Is 1986832151 a composite number? False Is 16090498967 composite? True Is 22467247 a prime number? False Is 36843723503 a prime number? True Is 561174923 a prime number? True Is 2404389103 a prime number? True Is 16146077 prime? False Is 37881534161 a prime number? True Is 69261067453 prime? True Is 16174402501 prime? True Is 174043963427 a composite number? False Is 58481740621 prime? False Is 4838631097 a composite number? False Is 29827740287 composite? False Is 1902943913 a prime number? False Is 40458379721 prime? True Is 4051486723 composite? False Is 15418902179 a prime number? True Is 357812593 a prime number? False Is 333129073 composite? False Is 105618630461 a prime number? False Is 74608765013 a composite number? True Is 105710993 a composite number? False Is 1213660057 a prime number? True Is 1873961 prime? False Is 7894388797 prime? True Is 2105456129 a prime number? False Is 9584914741 a prime number? False Is 1305077771 composite? False Is 13408252213 a composite number? False Is 11834780563 composite? False Is 3481075757 a prime number? False Is 77932273633 a composite number? True Is 7161707337 a prime number? False Is 206600531 prime? True Is 402176639 a prime number? True Is 385006333 composite? False Is 2210859533 a composite number? False Is 4860585761 a prime number? True Is 1090263299 a composite number? False Is 890073231 a composite number? True Is 8749329073 a prime number? False Is 99911573 a prime number? True Is 40424389477 composite? False Is 847681643 composite? True Is 27109411723 a composite number? False Is 45296646215 a composite number? True Is 71217351391 a prime number? False Is 17355414619 prime? False Is 5373137681 composite? True Is 124816788007 a prime number? True Is 107200036583 a prime number? False Is 52188119 composite? False Is 2058770491 a prime number? False Is 871535099 a prime number? True Is 3644624411 a composite number? False Is 100134064957 a prime number? True Is 44699896229 composite? False Is 759306763 prime? True Is 9787787261 composite? True Is 2508150767 prime? False Is 1816905011 prime? True Is 10107589549 composite? False Is 143047442183 a composite number? False Is 1111957933 prime? False Is 184422013 composite? False Is 4488879613 prime? False Is 1084145563 a composite number? False Is 143753459271 prime? False Is 2318654309 a composite number? False Is 73606289 a composite number? True Is 2872146779 a prime number? True Is 187151017 a prime number? True Is 36581117549 prime? True Is 12968383871 a prime number? False Is 461358539 a composite number? False Is 13388981671 prime? False Is 17402168605 a composite number? True Is 13799119471 a composite number? False Is 4047686287 composite? False Is 8797082183 a composite number? False Is 3635844613 a prime number? True Is 90770424013 a composite number? True Is 28084968715 a composite number? True Is 4882086971 composite? True Is 568983185 a prime number? False Is 7137689509 prime? True Is 13110431497 composite? True Is 839946641 a prime number? True Is 11594674891 prime? False Is 246096816731 a composite number? True Is 158475319 prime? False Is 21997371311 composite? True Is 1842849683 composite? False Is 174065803 a composite number? False Is
{ "pile_set_name": "DM Mathematics" }
sqrt(8))/(sqrt(256) - sqrt(256)*2). -sqrt(2)/8 Simplify (-1*sqrt(1344)*-3 + sqrt(1344))/(-6*sqrt(363)*1) + 0. -16*sqrt(7)/33 Simplify (-4*(sqrt(78) + -2*sqrt(78) + sqrt(78))*-4)/(2*-2*sqrt(12)/sqrt(2)). 0 Simplify 5*((-2 + (sqrt(171))**2)*-5 - ((sqrt(57) - (sqrt(228)/sqrt(4) - sqrt(57))*3)/sqrt(3))**2). -4320 Simplify (-3*(1 + sqrt(475)) + -2 + 3 + (sqrt(475) - (2 + sqrt(475))) + (sqrt(475) + -1 + sqrt(475) - sqrt(475)) + -1)**2. 120*sqrt(19) + 1936 Simplify (0 + sqrt(125) + (sqrt(125) - (sqrt(125) + sqrt(125)*-2)) - -1*sqrt(15)/(sqrt(24)/sqrt(8))) + 5. 5 + 16*sqrt(5) Simplify (1 + (4 + -5*-4*sqrt(2057))**2)*6. 10560*sqrt(17) + 4936902 Simplify (1 + (sqrt(153) - -1*sqrt(153)) + 1 + (sqrt(153) - (sqrt(153)*-1 + -4 + sqrt(153))))**2. 108*sqrt(17) + 1413 Simplify (-1*sqrt(384) + sqrt(24))/(sqrt(8) - (sqrt(80)*-3 + sqrt(80))/sqrt(10)). -sqrt(3) Simplify -5*((1 + -1 + sqrt(180) + sqrt(180))*-5 + -5)**2. -90125 - 3000*sqrt(5) Simplify -5*(0 + (sqrt(931) + -1*sqrt(931))**2 - (4 + (sqrt(931) - (sqrt(931) + sqrt(931)*-2)))). 20 + 70*sqrt(19) Simplify -4 + sqrt(8)/(2*sqrt(576))*-4 + 5. -sqrt(2)/6 + 1 Simplify -1 + -4*((sqrt(1050) - sqrt(42))/sqrt(7))/(-2*sqrt(72))*6. -1 + 8*sqrt(3) Simplify (sqrt(3564)*-1)/(-4*sqrt(484)). 9*sqrt(11)/44 Simplify (1*sqrt(152)*-6 - sqrt(152))/(sqrt(288) + 2*sqrt(288) - sqrt(288)) + 3. -7*sqrt(19)/12 + 3 Simplify -4*(-5 + sqrt(98) + 2)*-3 + -5. -41 + 84*sqrt(2) Simplify 3 + 3 + (5*2*-2*sqrt(704))**2 + 2. 281608 Simplify -3 + sqrt(448) + sqrt(448)*1 + sqrt(448) + (sqrt(1008)*1 - (sqrt(112) + 1*sqrt(112))**2). -451 + 36*sqrt(7) Simplify ((sqrt(228) + (sqrt(228) - -1*sqrt(228))*2 + -3*sqrt(228)*2)/(sqrt(72)/((sqrt(6) - sqrt(96))*5)))**2. 4275 Simplify -4*(sqrt(19) + (sqrt(19) - sqrt(684))) + sqrt(95)/sqrt(5) + 2 + sqrt(2299)*1*3*-3. -82*sqrt(19) + 2 Simplify ((4*sqrt(1300) - sqrt(1300)) + -3 + (-1*sqrt(52)/sqrt(4) - (-1 + sqrt(13) + 3)))**2. -280*sqrt(13) + 10217 Simplify ((sqrt(96) - (sqrt(96) - (sqrt(96) - (sqrt(96) - (sqrt(96) - -2*sqrt(96)) - sqrt(96)))))*2)/(((sqrt(18) + sqrt(2))*-2 + sqrt(2))*4). -8*sqrt(3)/7 Simplify 1*(-2*-2*sqrt(153) + sqrt(153))/(sqrt(90)/sqrt(90))*4. 60*sqrt(17) Simplify ((-1 + sqrt(208))**2 - ((-2*sqrt(13))**2 + 4)) + (4*sqrt(65) + sqrt(65))/sqrt(5) + 2 + 2. -3*sqrt(13) + 157 Simplify (-2*(2*sqrt(2432) + sqrt(2432))/(-1*(sqrt(2) + sqrt(8)/sqrt(4))))**2*3. 32832 Simplify 4 + (-5*(sqrt(396) - (sqrt(396) + 3 + sqrt(396)) - sqrt(396))*-4 + -2)**2. 29760*sqrt(11) + 637448 Simplify (-3*(-3*sqrt(243) + 2 + 3 + sqrt(243)*-3) + 4)**2. -3564*sqrt(3) + 78853 Simplify (-3 + (3 + 6*sqrt(2448)*3)**2*-5)*-1. 6480*sqrt(17) + 3965808 Simplify (((-1*sqrt(374) - sqrt(374))/sqrt(11))/(-6*(sqrt(2) - (-3*sqrt(2) + sqrt(2)))) + -2)**2. -4*sqrt(17)/9 + 341/81 Simplify (sqrt(2548) + -5 + 0 + sqrt(832))*5. -25 + 110*sqrt(13) Simplify ((sqrt(132) - sqrt(132)*-1*-5 - sqrt(132))*-1)/((sqrt(588) + sqrt(588)*-3 - sqrt(588))*-4). 5*sqrt(11)/84 Simplify (2*(2 + sqrt(98) + -2*sqrt(98) + -1 + sqrt(98) + 1))**2. 16 Simplify 6*(sqrt(3) + 0)**2 + ((sqrt(81)/sqrt(3))/sqrt(9) - sqrt(3)) - 5*(5 + (1*sqrt(3))**2). -22 Simplify (((sqrt(57) - 5*sqrt(57))*3)/(sqrt(3) - (sqrt(108) - sqrt(108)*-5)) + 2)**2. 48*sqrt(19)/35 + 7636/1225 Simplify (-4*(sqrt(98) - (sqrt(98) + -1)) + -5 + 1 + sqrt(98) - (3 + (sqrt(98) - (5 + 1 + sqrt(98) + sqrt(98)) - sqrt(98))))**2. -210*sqrt(2) + 907 Simplify -3*(sqrt(171)*-2)**2*4 + ((2*sqrt(171))**2 + -2 - ((sqrt(171) + sqrt(171) + -1)**2 + 1)). -8212 + 12*sqrt(19) Simplify 3 + (sqrt(1008) + 1*sqrt(1008)*2 + sqrt(1008))**2 - ((-4 + sqrt(1008) + -1 - sqrt(1008)) + 2)**2. 16122 Simplify (-6*-2*sqrt(864) - sqrt(864))/(sqrt(60)/(2*sqrt(20)/sqrt(4) - sqrt(5))). 66*sqrt(2) Simplify (sqrt(495)/sqrt(81) - sqrt(55))/(sqrt(980)/sqrt(4)) + -4. -4 - 2*sqrt(11)/21 Simplify ((sqrt(3993) - 2*sqrt(3993))*5)/(2*sqrt(363)*6). -5*sqrt(11)/12 Simplify (sqrt(76)/(sqrt(98) + (sqrt(98) - (sqrt(98) + (sqrt(98) - (sqrt(98) - -2*sqrt(98))) - sqrt(98)))))/(3*sqrt(2)*-2 + sqrt(72)*1 + sqrt(72)). sqrt(19)/168 Simplify -5 + (sqrt(72) + -1)*-6 - (sqrt(288) + -5*(sqrt(288) - (-1 + sqrt(288))**2) - 5*sqrt(288)*-1). -1444 + 72*sqrt(2) Simplify ((sqrt(64)/sqrt(2) - ((sqrt(64)*-2)/sqrt(8) + sqrt(8)))/(2*sqrt(16)*-4))**2. 9/128 Simplify (-1 + (0 + 1 + sqrt(1008) - (sqrt(1008)*2 + -3 + sqrt(1008))) + 3)**2. -288*sqrt(7) + 4068 Simplify (1*sqrt(576) - sqrt(4))/(sqrt(242) - (sqrt(242) - sqrt(242)*3)) + 0. sqrt(2)/3 Simplify (sqrt(11) + (sqrt(77)*-2)/sqrt(7) - (sqrt(396) + -1 + sqrt(396))**2) + (-2*sqrt(176))**2 + 2 + sqrt(176) + -3. -882 + 27*sqrt(11) Simplify (3*sqrt(540))/(sqrt(5) + 3*(sqrt(5) + 2*sqrt(5))). 9*sqrt(3)/5 Simplify 6*(sqrt(3645) + -2 + sqrt(180)). -12 + 198*sqrt(5) Simplify -4*((3 + sqrt(684))**2 + 3 + 6*sqrt(684)*-4). -2784 + 432*sqrt(19) Simplify ((sqrt(640) + (sqrt(640) - (5*(sqrt(640) + -1*sqrt(640)) - sqrt(640))) + sqrt(640) + sqrt(640) - sqrt(640))/(sqrt(30)/(sqrt(6)*-2)*-2))**2. 2048 Simplify -3 + (sqrt(55)/sqrt(5) + -5)**2 - ((5*sqrt(121) + sqrt(121))*-3)/sqrt(11). 8*sqrt(11) + 33 Simplify (-4 + 6*sqrt(14)/sqrt(2))**2 - (3 + (sqrt(7)*2)**2 + ((1*sqrt(56))/sqrt(8))**2). -48*sqrt(7) + 230 Simplify (0 + -2*sqrt(3)*-6 + 0 + sqrt(108) + 2 + ((0 + sqrt(3))*-5 + sqrt(3) - sqrt(3)))**2. 52*sqrt(3) + 511 Simplify ((sqrt(130) - 3*sqrt(130)*2 - sqrt(130)) + (sqrt(130) - (sqrt(130) - 1*sqrt(130)*-1)))/(sqrt(90)*2 + ((sqrt(120) - sqrt(120)*-2)/sqrt(12) - sqrt(10))). -7*sqrt(13)/8 Simplify ((sqrt(84) - 1*-1*sqrt(84))/((sqrt(120)*3)/sqrt(10)))**2. 28/9 Simplify 2 + (3*(sqrt(847) - (sqrt(847) + 0)))**2 + -5 + 5 + sqrt(847) + (1*sqrt(847) - sqrt(847) - sqrt(847)) + sqrt(847) + -1. 1 + 11*sqrt(7) Simplify (sqrt(54)/(sqrt(9) - sqrt(900)*4 - sqrt(9)))/(-1*(sqrt(27) + (sqrt(27) - (sqrt(27) - (sqrt(27) - -4*sqrt(27)))))). sqrt(2)/720 Simplify -4*((-1 + (sqrt(245) - (sqrt(245) + (sqrt(245) - (sqrt(245) + -3)) + 3 + sqrt(245))))*5)**2. -29400 - 9800*sqrt(5) Simplify -1*(sqrt(5)*-1)**2*-4 + 2 - (-5*(2 + (sqrt(5) - sqrt(20))**2 + sqrt(5)) + 2). 5*sqrt(5) + 55 Simplify (sqrt(11)*3 + 4 + (3*sqrt(11) - sqrt(11))*-1 + ((1*sqrt(33))/sqrt(3) - (sqrt(11) + (sqrt(11) - -1*sqrt(11)) + -1)) + -1)**2. -8*sqrt(11) + 27 Simplify -1*(sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-1))**2) - sqrt(72) - (1 + -2*sqrt(2)*-2). -73 - 16*sqrt(2) Simplify (-5*(3*(sqrt(153) + (sqrt(153) + (sqrt(153) - (sqrt(153) + 2*sqrt(153) - sqrt(153))))*-4))/((sqrt(18)/(sqrt(2) + sqrt(8)) - sqrt(9))*-3))**2. 3825/4 Simplify (4*sqrt(882)*-2)/(sqrt(90)/(sqrt(90)/sqrt(441) + sqrt(10) - sqrt(10))). -8*sqrt(2) Simplify ((sqrt(1920)*-4)/sqrt(10) + sqrt(192)*4 + 0 + sqrt(192))**2. 192 Simplify -2 + (2 + sqrt(1088) + -2 - ((-5 + sqrt(1088)*-1)**2 + sqrt(1088))). -1115 - 80*sqrt(17) Simplify 4*(-4 + sqrt(108)*-1*3)**2. 576*sqrt(3) + 3952 Simplify (-5*sqrt(114)*1*4)/((2*sqrt(2160))/sqrt(10)). -5*sqrt(19)/3 Simplify ((sqrt(3500) - (sqrt(3500)*2 - sqrt(3500)))*2)/(sqrt(25)/sqrt(245)*-2). 0 Simplify ((-2 + sqrt(11) - sqrt(11))*2 - (3 + sqrt(99)))**2*-1. -148 - 42*sqrt(11) Simplify 6*(2*(5 + sqrt(11) + sqrt(44))*-2)**2. 2880*sqrt(11) + 11904 Simplify (((sqrt(52) + (sqrt(832) - (sqrt(832) + 1)) - sqrt(52))*6 + 4)*4)**2*-6. -384 Simplify (-4 + 2*(sqrt(204)/(sqrt(192) - sqrt(12)) - sqrt(17))*-2 + 0)**2. -64*sqrt(17)/3 + 1232/9 Simplify ((1 + sqrt(7) + -4 - (-2 + sqrt(7))*3)*-6)**2. -432*sqrt(7) + 1332 Simplify 2*(-4*sqrt(720) - sqrt(720) - sqrt(720)) + 4*(sqrt(405) + -1). -108*sqrt(5) - 4 Simplify ((1*sqrt(1078) + sqrt(1078))/(sqrt(12)/(-2*sqrt(6))) - -5*(sqrt(11)*2 + -4 - (-1*sqrt(110))/sqrt(10)))**2. 520*sqrt(11) + 2259 Simplify -1*((sqrt(684))**2 + -4 - sqrt(19)) - (((sqrt(684))**2 + sqrt(19))*4 + -5). -3411 - 3*sqrt(19) Simplify (sqrt(684))**2*6 + 4 + (sqrt(19) + sqrt(2736) + 1)*-5. -65*sqrt(19) + 4103 Simplify -3 + ((sqrt(117) + (sqrt(117) - sqrt(117)*-3 - sqrt(117)) - sqrt(117))**2 + 1)*5 + 1. 5268 Simplify (4*(sqrt(76) - 3*sqrt(76) - sqrt(76)))/(-5*2*sqrt(4))*-1. -6*sqrt(19)/5 Simplify 1 + (1 + sqrt(208) - sqrt(208)) + sqrt(143)/(sqrt(11) + sqrt(22)/sqrt(2)) + -3. -1 + sqrt(13)/2 Simplify 0 + (4 + -5 + -3*(sqrt(72)*-1 + sqrt(72)) + -5)**2. 36 Simplify (1*(-3 + sqrt(720)))**2 + sqrt(720) + (4 + sqrt(720))*2. -36*sqrt(5) + 737 Simplify ((sqrt(95) + sqrt(95)*-1*-5 + sqrt(95))*1)/((sqrt(220)/(sqrt(4)*2
{ "pile_set_name": "DM Mathematics" }
. Solve -x - y - a = -4*y, 0 = 3*x + y + 2 for x. -2 Let s(t) = -2*t - 20. Suppose 158 = -4*p - w, -5*p - w = -0*w + 197. Let r = 28 + p. Let n be s(r). Solve 5*b = -2*c - 2, -7*c = -4*b - n*c - 28 for b. -2 Suppose 0 = 24*l - 63*l + 28 + 89. Solve 5*w + f - 5 = 0, -4*w = -4*f - l - 1 for w. 1 Let p be (9/180*10)/(-2 - 84/(-40)). Solve 4*b = -u + 15, u + p = 5*u + 5*b for u. -5 Let a(s) = s**2 - 76. Let d be a(-9). Let g(k) = k**3 - 2*k**2 - 12*k - 12. Let i be g(d). Solve 4*f + y - 3*y - 18 = 0, -2*y = -i*f + 16 for f. 2 Let y(u) = -2*u**2 - 2*u + 5. Let h be y(-2). Suppose -h = 2*z + v - 0*v, 4*v + 4 = 0. Solve 5*c + 15 = z, 6*b - b + c = -18 for b. -3 Let a = 7645 + -7643. Solve -16 = -322*r + 319*r - 5*y, a*r - y - 2 = 0 for r. 2 Let m be 4/8 - -2*153/4. Let u = 82 - m. Solve -3*d - 5 = -u*y, 9 = 3*y + 4*d - 23 for y. 4 Let n = 5646 + -5642. Solve -n*y + 3*l = -2, -17 = -y + 5*l - 25 for y. 2 Suppose 4*k + 329 = 349. Solve 3*t - 36*h = -33*h - 12, -k*t - 4*h = 38 for t. -6 Let v(s) = -10*s**2 - 847*s - 572. Let c be v(-84). Solve -c*k + 12*k + 12 = 4*p, 5*p - 15 = 0 for k. 0 Suppose 409*x + 73*x = -7*x + 978. Solve 14 = 10*k - 8*k + 3*c, -x*c + 8 = 0 for k. 1 Suppose -x = -161 + 166, 4*z + 2*x + 10 = 0. Solve -77*m + 73*m + 12 = z, 0 = d - m for d. 3 Suppose -9*t + 13*t = 0. Let r(j) = j**2 - j + 7. Let c be r(t). Suppose 11 + 10 = c*q. Solve 0 = -q*a - 6, a + 2*a = -l - 1 for l. 5 Suppose -7*g = -12*g + 290. Suppose o = -62 + g. Let b be 0 - (-2 - 3) - (1 + o). Solve -3*a + b = q - 0*q, -5*a + 4 = -3*q for a. 2 Let o be 4*(-15 + -4) - -4. Let y = o + 95. Suppose 4*b - y - 4 = 5*p, 4*b - 21 = 3*p. Solve 3*v - 2*l = v - 10, -b*l + 9 = 0 for v. -2 Suppose -5*b - 5 = -3*k + 13, 5*k = 30. Solve b = -j + o + 6 - 7, -4*j = -3*o + 4 for j. -1 Suppose -4*g + 2061 = 4*n + n, -g + 5*n + 534 = 0. Suppose -6*q = 399 - g. Solve 0*j = -2*j + 3*r + 12, -2*j - 5*r = q for j. 0 Let w = 2159 - 2157. Solve h - 2*h = 3, 0 = w*o + h - 3 for o. 3 Let h = -758 - -461. Let o = 301 + h. Solve 2*f + g - 3*g = 10, -o*f + 12 = -2*g for f. 1 Let p(j) = 934*j - 4660. Let m be p(5). Solve 3*v - u - 12 = 0, -v - 12 = -5*u + m*u for v. 3 Let w be 2964/(-42) + (-4)/(-7). Let a be 1*(14/w + (-1)/(-5)). Let f be (7 - (-9)/(-3)) + a. Solve -20 = -4*m - 3*i, -4*m = f*i + i - 28 for m. 2 Let n(w) = -w**3 - 15*w**2 + 13*w - 45. Let q be n(-16). Let j be (-6)/6 + 4 + 0/4. Let f = 20 + 2. Solve 4 = -k, f = -q*t - j*k - 2 for t. -4 Let v(k) = -2*k**3 - 164*k**2 + 2*k + 11. Let m be v(0). Solve -10*w = m*d - 11*w + 13, -5*w = d - 9 for d. -1 Let b = 26448 + -26441. Solve 2*r - 36*j + 22 = -32*j, r - b = -4*j for r. -5 Let d(m) = -20907*m + 209085. Let h be d(10). Suppose 0 = -z - z + 10. Solve -g + 4*g - h = 3*p, -21 = -z*g + 4*p for g. 1 Let f(y) = y**2 + 18*y + 71. Let n be f(-20). Suppose 5*k - 126 + n = 0. Solve 0 = -a - 4*z - k - 4, -2*a - 3 = -3*z for a. -3 Suppose 151*m - 264*m - 52 = -139*m. Solve -95*d + m*p = -93*d + 22, -2*p - 3 = 3*d for d. -5 Let h(u) = -u**2 + 13*u - 34. Suppose -15 = -4*o + 1. Let z be h(o). Solve z*f + 2*c = -c - 8, f + 2*c = -6 for f. 2 Let k = 76 + -73. Let t(n) = n**3 - 4*n**2 + n + 9. Let i be t(k). Solve 5*a + 15 = -5*q + i*q, -4*q - 5*a = 25 for q. -5 Let j = 403 + -387. Suppose -47*f + 465 = -j*f. Solve -5*h - f = 2*s, 0 = 3*s + 2*h + 5 + 12 for s. -5 Suppose -8*u + 5 - 2 + 5 = 0. Solve 4*q + u - 5 = 4*a, -5*a = -q + 21 for a. -5 Let j = 5109 + -5095. Solve -m + 6 = -17*v + j*v, 0 = 5*m for v. -2 Suppose -5*d - 70 = 40*r - 37*r, 3*r - d = 14. Let s = 22 + -14. Solve 3*w + 4 = -r*f - f, w = f - s for w. -3 Let y be (-10)/40 - (-131)/(-4). Let l = -33 - y. Let q be 32/(-32)*(l - (1 - 1)). Solve -2*d - k + 5 = q, 2*d + 5*k = -0*d + 25 for d. 0 Let g be (-5)/5 - (1 - -3). Let a be -1 - g - (-22)/(-11). Solve -15 = 3*x, -4*k + a*x = -x - 7 for k. -2 Let k be -10 + 5 + 49 + 6. Suppose o + h - 12 = 0, -o - 4*h - k = -4*o. Solve 4*t + 35 = 5*i, -2*i - o = 4*t - 0*i for t. -5 Let f be (3/(-3))/(7/6 + -1). Let l be (f - -7)*-4*-1*1. Solve z - 19 = l*d, z = d - 4*z + 19 for d. -4 Suppose 15 = 2*u - m, -5*u + 2*m = 4 - 40. Solve -g + 5 = 0, 2*l - 3*g - 15 = -u*g for l. 0 Let y = 132 + -128. Suppose y*r - 2*x + 3*x - 17 = 0, -3*x + 3 = -4*r. Solve -4*n = -r*t - 35 + 10, 2*t - n = -10 for t. -3 Let m = -558 - -566. Suppose 2*o = m, -5*n + 1 = 2*o - 32. Solve n*c - 8*h = -3*h, -3*c + h + 6 = 0 for c. 3 Let u = -21 - -18. Let z be (u/(-2))/((-36)/(-240)). Suppose z*x - 7*x - 9 = 0. Solve 4*c - 20 = 4*g, g + x*g + 20 = 3*c for g. -5 Let n = -25320 + 25323. Let t be ((-30)/50)/(1/(-5)). Solve -n*w - t = 0, 3*f = -5*w + 4*w - 7 for f. -2 Let j be ((-2780)/973)/(10/(-14)). Solve 0 = -5*y - j*f - 35, 106*y = 101*y - 3*f - 30 for y. -3 Suppose -7327*l + 7319*l = -16. Solve -10*v = -7*v - w - 13, -4*v - l*w = -24 for v. 5 Let s = 257 + -26. Let k = s + -225. Solve 5*o - x = -k - 18, -5 = 5*x for o. -5 Let c be 2*(-1 - 30/(-12)). Suppose -5*o + 3*g - 1 = -c*o, -o + 7 = g. Solve 0 = -4*x + o*w + 16, -2*x + 2*w + 9 = -w for x. 3 Let a be 8/(-32) - ((-3)/4)/3. Suppose a = -j + 24 + 10. Suppose 18*u - j = u. Solve 5*c - l + 10 = -12, 4 = -u*c - 2*l for c. -4 Let d be (1/2)/(4/(-432)*-3). Suppose 23*q = d*q + 75. Solve 19 = 4*w + 3*j, 0 = 3*j - q - 0 for w. 1 Let h = -2805 - -2807. Solve 2*x + h = -2*j, 2*j + 5*x = j + 11 for j. -4 Let s(q) = -3*q + 8. Let m(u) = -u**2 - 5*u + 14. Let x(j) = -4*m(j) + 7*s(j). Let t be x(1). Solve t*y = -0*h + h - 3, h - 3 = 2*y for y. 0 Let k(j) = 17*j - 22*j + 65 + 11*j. Let u be k(-10). Solve -3*d + 5 = -p, -5*p + u = -d + 16 for p. -2 Let n(j) = 9*j + 6. Let a be n(-4). Let u be ((-90)/(-4))/((-4)/8). Let t = a - u. Solve 2*h - t = -5*x - 0, -4*h - 2*x + 22 = 0 for h. 5 Let n = 4302 + -4292. Solve 4*b - n*x = -9*x - 5, -2*b = -5*x + 25 for b. 0 Let x be (78 - 70) + -3 + -2. Solve v = -x*s - 6 + 4, -s + 2 = v for v. 4 Let k(q) = -q + 15. Let f be k(-27). Suppose -13*t + f + 10 = 0. Suppose 5*g = -4*z + 15, 0 = -2*g + 6. Solve -4*o - 4 = 2*d, z = o - 2*o - t*d - 8 for o. 0 Let t(w) = -2*w**3 - 49*w**2 + 64*w - 12. Let h be t(-26). Let s = h + -352. Solve l + s = -3*x + 1, 3*l = -x - 13 for x. 2 Suppose 66*c + 81*c - 272 = 11*c. Solve -c*b - 3 = -m, 3 = -4*m + b + 22 for m. 5 Suppose 5*k - 312 = 4*g + 9*k, -5*k + 194 = -3*g. Let n = g - -75. Solve 6*i - 31 = -2*m + i, 0 = 2*m - n*i + 4 for m. 3 Suppose -4*h = -16, 3*m - 7*m - h = -4. Suppose -w + 15 - 7 = m. Solve 4 = 4*p, 3*c + 3*p - w = -2*p for c. 1 Let v(t) = -391*t**3 + 7*t**2 + 392*t**3 + 1 + 17*t**2. Let d be v(-24). Solve 5*j - d = -2*y, -3*j = -6*y + y - 13 for y. -2 Let y = 39711 + -39330. Solve 5*s + 26 = 3*h, y*s - 382*s = 3*h - 2 for h. 2 Let q(t) = 2*t**3 + 41*t**2 + 23*t + 60. Let l be q(-20). Solve l = -5*p - 5, m + 0*p + 6 = -2*p for m. -4 Let x(d) = d**2 + 3*d - 2. Let u be x(-4). Suppose m - 12 = 2*w, m - w = -u*m + 16. Solve -m*j = 0, -j = 8*n - 4*n + 16 for n. -4 Let j(k) = 4*k**3 - 2*k + 2. Let x(a) = -2*a - 25. Let o be x(-13). Let v be j(o). Let p = 15 - 1. Solve 3*h = -3*n + 1 - v, 2*h + p = -5*n for n. -4 Let f(c) = -c**2 - 20*c + 48. Let h = -10 - 12. Let w be f(h). Solve -5*x - 2*r = 8, r - 6 = w*x + 3*r for x. -2 Suppose -7*v - 4 = -67. Suppose 572 = v*i + 68. Suppose z + 54 - i = 0. Solve -z*d + 7*d = -5*m - 25, -18 = 5*m - 2*d for m. -4 Suppose -2*a + 112 = 4*v, -3*v + 4*a + 120 = 14. Solve 5*y + 0*y = -5*p - v, 3*y + p + 10 = 0 for y. -2 Let m(z) = 12*z - 58. Let w(o) = o - 12. Let r be w(17). Let i be m(r). Solve 5*g - 19 = -c, 5*c - 17 = -g + i*g for g. 3 Let j(i) = i**3 + 29*i**2 - 13*i + 74. Let u be j(-29). Let s = u - 448. Solve -n + 2 = -v, s*n + 4*v = -v - 2 for n. 1 Let l be (63/14 + -4)*14. Let u = l + -4. Solve -x - 3*b = -b - 6, -u*b + 20 = -4*x for x. -2 Let c be (-2)/4 - 13/(-2). Let u be (5/((-35)/c))/(83/(-581)). Suppose 4*a - 8 - 8 = 0. Solve 5*g = -2*y - 17, a*y + g = y - u for y. -1 Let x(k) = -1531*k**2 + 1533*k**2 + 0 - 8*k + 10. Let n be x(4). Solve -2*g + 4*w + 12 = -0*g, g - n = 3*w for g. -2 Suppose 26*y - 2*y + 144 = 0. Let q be 4/y*-3 + (-102)/51. Solve 5*z + 45 = -5*a, 4*z + q*z = 3*a - 8 for a. -4 Let s be 4/6*((-105)/2)/(-7). Let c be (-7 + 6)*(-25)/s. Solve -c*p + 3*j + 3 = 4, 3*p - j = -3 for p. -2 Let l be (468/90 - 4)/
{ "pile_set_name": "DM Mathematics" }
least common multiple of 10 and y. 90 Suppose -14*n - 96 = -18*n. Calculate the lowest common multiple of 18 and n. 72 Let v be (-12)/(-5)*(-10)/(-2). Suppose 0*a + 2*a = -4*s - 29886, 4*s + v = 0. Let g = 239079/16 + a. Calculate the common denominator of g and 93/8. 16 Let q = -4747/332 + 4/83. Find the common denominator of q and -75/4. 4 Let g be 3 + -1 + -39 + 1. Let b = 18 - g. Let u = 76 - b. Calculate the lowest common multiple of 16 and u. 176 Suppose 0*x = -5*x - 175. What is the lowest common multiple of ((-30)/x)/(2/14) and 7? 42 Let s(t) = -t - 4. Let u = -6 + -2. Let q be s(u). Let l = q + 0. What is the smallest common multiple of l and 10? 20 Let o = -4199 + 75463/18. Let v = 20423/6 + -3420. Calculate the common denominator of o and v. 18 Suppose -2*r + 4*r = -5*k + 17457, -34887 = -4*r - k. Let z be ((-15)/63)/((-1)/r). Let u = -2070 + z. What is the common denominator of u and 73/6? 42 Suppose t + 66 = 70. What is the least common multiple of t and 590? 1180 Let p(g) = -g**2 - 4*g + 1. Let h be p(-5). Let o be h - -6 - 2*1. Calculate the common denominator of (-240)/(-54) + (o - 1) and 23/3. 9 Suppose 22 + 6 = 2*n. Suppose 2*m + 0 = -z + n, 2*m = -5*z + 38. Let r = z + -2. Calculate the least common multiple of 6 and r. 12 Suppose -5*u = 5*d - 100, 4*d - u - 95 = -0*u. What is the least common multiple of 1 and d? 23 Let c = -8/1315 + 88217/18410. Calculate the common denominator of c and 43/6. 42 Let h = 149 + -142. Calculate the lowest common multiple of h and 4. 28 Suppose 187 = -2*b - 93. Calculate the common denominator of 49/20 and (-1 - -3)*287/b. 20 Let r = 2/4079 + -150943/40790. Suppose 12 + 7 = -4*z - 5*n, -2*z - 2*n - 12 = 0. Calculate the common denominator of r and z. 10 Let c(x) = -4*x**2 + 2*x + 5. Let v be c(4). Let t = v + 2. Calculate the common denominator of -75/2 and t. 2 What is the smallest common multiple of (12/(-5))/(2/(-15)) and 16? 144 Suppose -17*d = -12*d - 117240. Let n = 421939/18 - d. Find the common denominator of n and 133/6. 18 Let c = 7 - 4. Suppose c*l = -2*l + 15. Suppose l*g = -g + 16. Calculate the least common multiple of g and 8. 8 Suppose -2 = -4*g + 18. What is the common denominator of -85/6 and (-10)/11 - (g + -3)? 66 Suppose 5*b + 1 + 39 = 4*v, -3*v = 3*b - 30. Suppose 6*r - 16 = 4*r. What is the lowest common multiple of v and r? 40 Suppose 0 = s - 0 - 4. Let h = -25 - -37. Suppose 2*x = u + h, s*u - 18 = -5*x + 12. What is the lowest common multiple of x and 10? 30 What is the common denominator of 10/(-18)*87/4 and 79/10? 60 Let t be (8/10)/((-2)/(-15)). Let d = t + -7. What is the smallest common multiple of 2 and (-2 + 4)/(d/(-5))? 10 Calculate the common denominator of (2/(-8))/((-2)/(-76)) and -1*238/32 - -6. 16 Suppose b = 5*b - 12. Let g(x) = -x + 12. Let j be g(6). Find the common denominator of (-143)/6 - b/j and -28/5. 15 Let o = 11 - 2. Suppose 8*n - 10 = 7*n. What is the smallest common multiple of o and n? 90 Let h = -998 - -10047/10. What is the common denominator of -35*(-2)/18*-2 and h? 90 Let t = -10 + 71. Suppose 3*d = 2*a - t, -4*a - 4*d + 127 = -5*d. What is the common denominator of a and 402/(-9)*(-15)/80? 8 Let u = -1/2002 - 7435/2002. Let k = 21/32 - 141/32. What is the common denominator of k and u? 28 Let g = -4 - -10. Let h be ((-33)/12 - -3)*116. Let w = -15 + h. Calculate the lowest common multiple of w and g. 42 Calculate the common denominator of 89/24 and (-308)/(-2)*11/132. 24 Suppose -3 - 4 = x. Let l = 9 + x. Calculate the lowest common multiple of 18 and l. 18 Let w(f) = -f**3 + 21*f**2 + 22*f - 6. What is the common denominator of w(22) and 79/8? 8 Let o(b) = -b**2 - 3*b + 1. Let x be o(-5). Let j = 59527/2018 + 2/1009. Calculate the common denominator of 4/(-18) + 211/x and j. 6 Find the common denominator of 897/(-198) - 4/(-6) and -85/2. 22 Suppose n - 5*l + 4 = 5, l = 3. What is the lowest common multiple of n and 12? 48 Let w = 994 + -7873/8. Let a = 719674421/11001 + -65419. Let q = a + 627037/110010. What is the common denominator of q and w? 40 Calculate the common denominator of 15 and ((-21)/15)/((-16)/(-70)). 8 Suppose -i + 4*i - 30 = 0. Calculate the lowest common multiple of 22 and i. 110 Suppose -4 = -2*i + 24. What is the common denominator of 702/154 + (-4)/i and -23/7? 77 Suppose 4*w + 4*i - 331 = -i, -w + 80 = 4*i. Calculate the smallest common multiple of 16 and w. 336 Let x be (-4761)/(-10) + 4/8. Let v = x + -42449/90. Calculate the common denominator of (22/15)/(16/(-12)) and v. 90 Suppose 0 = -4*j + 5*q + 53, j = -q - 0 + 2. Calculate the smallest common multiple of 1 and j. 7 What is the common denominator of 77/18 and (70/6)/((-12)/18)? 18 Suppose 0 = s - 5 - 13. Let y be (3/(-5))/((-1)/5). Suppose -2*n + w + 41 = 0, 5*n - y*n + 2*w - 38 = 0. Calculate the smallest common multiple of s and n. 180 What is the common denominator of 97/18 and 3 + (-37 + -4 + 4)/18? 18 Let u be (224710 + 1)*(-1)/22. Let c(o) = -127*o**2 - 10*o - 20. Let r be c(-9). Let m = u - r. What is the common denominator of -103/22 and m? 22 Suppose 5*v = 3*o - 2*o - 33, 5*o - 2*v = 50. What is the smallest common multiple of 20 and o? 40 Suppose -3*t + 8 = -2*t. Calculate the lowest common multiple of t and 16. 16 Let i = -7223 + 4523. Let d be -2705 - (-2)/3*6/18. Let y = d - i. What is the common denominator of -117/10 and y? 90 Suppose h + 37 = 2*a, 3*h = a - 18 - 13. Suppose 2*f - 8 = -2*w, 0*f + 2*f - 18 = -4*w. Let t = w + 9. Calculate the smallest common multiple of a and t. 112 Suppose -3*r + 11 = -7. Let o = 10 - r. Calculate the common denominator of (-111)/2*o/12 and -131/6. 6 Suppose 2*h + 5*y = 36, -2*h + 4*y + 36 = -0*y. Let v = 5/53 + 1633/106. What is the common denominator of v and 12/(-18) - 321/h? 2 Let j be ((-37766)/12590 - -3)*-1. Let y = -151058/69245 + j. Calculate the common denominator of 111/10 and y. 110 Let a be (4*-2)/((-3)/84). What is the common denominator of 79/6 and 21/a*(-124)/(-6)? 48 Suppose -2*n + 4 + 16 = 0. Let s be n/25 + 30722/21920. Let f = s - -70/137. What is the common denominator of -91/6 and f? 48 Let h = -58 - -62. Calculate the least common multiple of h and 8. 8 Let k(b) = b**2 - 11*b + 27. Calculate the smallest common multiple of 33 and k(12). 429 Let g = -1253 + -436. Let p = g - -33757/20. What is the common denominator of (-149)/22 + 2 + 0 and p? 220 Let v = -465 + 270. Find the common denominator of 2/(-16) + v/200 and (-28)/198 - 4/18. 110 Suppose -2*x + 44 + 58 = 0. Suppose -3*k + 0*k + 6 = 0. Suppose t = -k, -5*i - 4*t + x = -21. Calculate the smallest common multiple of 22 and i. 176 Let x = 2/106365351 - 12543063108271/97324296165. Let f = -1160/9 - x. Let v = 1897/610 + f. What is the common denominator of -113/12 and v? 60 Suppose -106 + 42 = -4*u. What is the least common multiple of (0 - -14) + 2 + -2 and u? 112 Let b be -1 + (-1 - -10) - 2. Let j = 16 + b. Suppose 6*o - 64 = -2*o. What is the lowest common multiple of j and o? 88 Let h = 456151 + -84388549/185. Let u = 3/37 - h. Find the common denominator of u and 38/3. 15 Let i be 821/(-24) + 2/(-6). Let a = i + 80/3. Find the common denominator of a and (-68)/33 - (-2)/6. 88 Let h = -4/3705 - -277939/59280. Calculate the common denominator of -69/208 and h. 208 Suppose 21*d - 5*d = 704. Calculate the smallest common multiple of d and 28. 308 Let j = -1988/477 + 1/954. Find the common denominator of j and -6 + 3 - 201/(-21). 42 Suppose 4*b - 12 = -0*b. Let k be b/44*458554/3. Let j = 10424 - k. Find the common denominator of j and -113/20. 220 Let x = -493/330 + 18/55. Find the common denominator of 68/21 and x. 42 Suppose 4*h = 3*h + 16. Suppose h = 5*d - d, -j - d = 35. What is the common denominator of -85/14 and j/(-8) + -3 + 1? 56 Let r = 7 + -5. Suppose 0 = -r*v - 3*v + 50. Calculate the least common multiple of v and 4. 20 Let j(w) = 2*w**2 + 8. What is the lowest common multiple of 6 and j(0)? 24 Let a be (-55)/10 - (-2)/4. Let i = 23 + a. What is the least common multiple of i and 4? 36 Let y be (24/(-10) + 0)*-15. Suppose -3*r + 30 = -8*r. What is the common denominator of (-150)/y*r/20 and -27/20? 20 Let y = 16/261 - 19405/5742. Let m = -171 - -1371/8. Calculate the common denominator of m and y. 88 What is th
{ "pile_set_name": "DM Mathematics" }
14)/(-35). Let o = m - 19/93. Is o != -0.2? True Suppose 25 = -5*c + 5*f - 25, 5*f - 1 = -2*c. Which is smaller: c or -11? -11 Let g = 36 + -41. Is -6/5 less than g? False Suppose -4*u + 20 + 0 = 0. Suppose -2 + u = c. Which is smaller: 4 or c? c Suppose 4*g - 5*j + 18 = -6, -2*g = -3*j + 14. Is g != 2/33? True Suppose -r + 7 = -5*f, 2*r = -2*f - 4 - 6. Suppose -3 = -2*g + 3. Suppose p - 10 = -5*x + 3, 4*x = -g*p + 6. Is f at least as big as p? True Let u be -3 + -9 + -3 + 5. Let i = u + 10. Let r = -447/95 + 23/5. Do r and i have the same value? False Let j be (-22)/(-5) - (-6)/(-15). Suppose 0 = 3*d - v - j, 0 = 3*d + 2*v + 1 - 11. Let b = d - 2. Which is smaller: -1 or b? -1 Suppose 0 = -4*v + 3*x - 215, 0 = 3*v + 3*x - 0*x + 135. Let y be v/(-12) + (-1)/6. Is y > 2? True Let s = 96 - 88. Is 9 at least as big as s? True Suppose 4*n + 3*b - 69 = 4, -3*n + b = -71. Do 22 and n have the same value? True Let h = -2 - -1. Let l = 6 + -18. Let p be 3/(-105) + l/(-28). Is h at most as big as p? True Let i(z) = 20*z - 5. Let o be i(-5). Which is greater: -104 or o? -104 Let a = 4 - 0. Let m = 0.033 + -0.033. Is a equal to m? False Suppose 4*u = -13 - 251. Let d be 276/u - 4/(-22). Which is smaller: d or -3? d Suppose 3*q - 3*g - 2*g = 0, -2*q = -5*g. Suppose q = 3*w - 0 + 3. Is w at least as big as -1? True Suppose 5*g + 0*o = 3*o + 15, -3*g - o + 9 = 0. Suppose -k + g = 3*k + l, -5*l + 15 = 0. Which is smaller: k or -1? -1 Let t(f) = f**2 + 10*f + 22. Let a be t(-5). Suppose s - 28 = 5*s - 4*p, p = 2*s + 10. Are a and s non-equal? False Let i = -4 + 5. Let c be i - 2 - (-33)/39. Is c smaller than 0? True Let s = 1.6 + -1.5. Which is bigger: -5 or s? s Suppose 4*q - 4*y = 16, 9*y - 5 = 4*y. Let l = q + -3. Is l at least as big as 5/4? True Suppose -2*o = -7*o + 5. Let i = -6.08 + 6. Let l = 0.92 - i. Are o and l non-equal? False Suppose 7*n = 2*n + 15. Suppose -1 + 7 = n*z. Let c = 84 - 86. Which is greater: c or z? z Let t(j) = j + 2. Let w be t(-2). Is -1/36 greater than w? False Let b(h) = 3*h**3 - h**2 - h + 1. Let x be b(1). Suppose 2*r - 3*q = 12, 6*r - x*r - 3*q = 12. Which is greater: r or 1/6? 1/6 Let x(b) be the first derivative of -b**4/4 - b**3/3 + 3*b**2/2 + 2*b - 3. Let t be x(-2). Which is bigger: -3/4 or t? t Suppose -402 = 4*c + 3*m, 2*c - 2*m = -247 + 53. Let l = -6002 + 41322/7. Let o = c - l. Which is bigger: -1 or o? o Let k = -203 + 1424/7. Let y = k - 2/21. Is -1/4 less than y? True Let r be (6/4)/(45/60). Let w be 12/(-4) - r/1. Which is smaller: w or -7? -7 Let v be (16/(-160))/(8/(-10)). Suppose 5*o + 3 = -12. Let r = o + 2. Which is bigger: r or v? v Let x(t) = t**3 - 6*t**2 + 5*t + 1. Let z be x(5). Let j = 1271/9 + -141. Is z at most j? False Suppose 12 + 8 = -5*n, 16 = k - 3*n. Suppose 5*b + 5*z - 40 = 0, -k*b - 40 = -9*b + 5*z. Is b at least 13/2? True Let o = -15 + 11. Let j = -5 - o. Let i = 0.03 - -0.05. Which is smaller: j or i? j Suppose -5*q = 2*w - 20, 4*q - 3*w - 2 = 37. Let d be q + (-3)/(-6)*-2. Suppose -d*v - 8 = -3. Do -0.1 and v have the same value? False Let z be 2/((-7)/((-7)/(-2))). Which is smaller: -1/5 or z? z Let f be 1/3 - 2/(-3). Let s = 89/110 + -1/110. Which is greater: s or f? f Let g be (-2)/2 + (0 - -1). Let f(k) = k - 2. Let v be f(1). Which is greater: g or v? g Let z = 0 + 1. Let d = 35 + -33. Is d greater than or equal to z? True Let m = 5 - 1. Suppose -m*l - 20 = -2*b, -b = -l - 6 - 4. Suppose 2*y + 3*y = -b. Is y at least -2? True Let p = -26 - -28. Let a be (-1)/p - 4/8. Which is bigger: -6 or a? a Let s(n) = 9*n**3 - 2*n**2 + 1. Let i be s(1). Let j be (-2 + i - 3) + -5. Is -1 equal to j? False Let d = 0.54 - 0.14. Let o = d - 0.5. Which is bigger: 4 or o? 4 Suppose 6 + 0 = 3*c. Let p be (2091/(-585) - -1) + c. Let n = p + -1/39. Is -2 at least n? False Let a be ((-3)/(-3 - (-4 - 0)))/(-3). Is 15/13 > a? True Let f be (-7 + 4)/(-2 + -23). Is f at most 1? True Let n(h) = -4*h**3 - h**2 - 2*h. Let y(f) = -f**3 - f**2 - f. Let t(j) = n(j) - 5*y(j). Let m be t(-3). Which is bigger: m or 3/7? 3/7 Let m = 1.7 - 6.7. Is -0.2 < m? False Let l = -53/119 - -2/119. Let f(h) = h**2 - 2. Let t be f(-2). Let n be t*2*(-1)/4. Which is bigger: n or l? l Let b = 13 + -15. Let v = 2 + 0. Let p be -2 - -2 - v/4. Is p smaller than b? False Let v = 2 - 4. Let z be 2/(-7) + (-7)/(-23). Let t = -787/966 - z. Is v greater than t? False Let i = 1025 + -23565/23. Let v be ((-24)/(-5))/((-161)/5). Let m = v + i. Which is bigger: m or -1? m Let z = 90 - 93. Are -3 and z equal? True Let r(l) = -l + 3. Let n be r(-5). Let c = 35/3 - n. Is c not equal to 4? True Let o = -228 + 233.95. Let k = o + -6. Let v = 0.15 + k. Is -2/13 smaller than v? True Let h = -0.051 - -1.051. Which is greater: -3/7 or h? h Let v = 67 + -67.1. Let f be (-8)/6*(-6)/4. Which is bigger: v or f? f Let r = 0 - 4. Let a be r/(-6) + -2 + 1. Which is smaller: -2/7 or a? a Suppose 3*t - 2*t + 2 = 0. Let f be ((-2)/t)/((-2)/(-4)). Suppose 2 = -f*w - 2. Is w > -3? True Suppose -5*d = 0, -u + 1 + 0 = -4*d. Let t = -64 - -323/5. Which is greater: u or t? u Let v be 56/72 - 6/(-27). Which is smaller: 6 or v? v Let k = -0.62 + -0.08. Let x = k + -1.3. Let n = x - -2. Is 0.2 at least as big as n? True Suppose z = 2*s - 0*z - 15, -s = -z - 10. Let m be (1/3)/(s - 6). Is -1/4 less than m? False Let y = -1.2 + -9.8. Let r = y + 11.1. Which is bigger: -0.4 or r? r Let v be (-2)/(-4) - (-4)/(-16). Is 0 equal to v? False Let u(v) = -2*v**2 + 2*v. Let n be u(1). Is 2/81 greater than n? True Let c = 11 + -7. Let j = c + -2. Which is greater: 3/2 or j? j Let d = 382 - 381. Let c be (4/(-6) - 0)/(-3). Is c <= d? True Suppose -13*f + 45 = -16*f. Do f and -15 have the same value? True Suppose -5*x + 2 + 3 = 0. Let v = 7 - 3. Suppose b - 4*d - 1 - 1 = 0, -8 = -v*b + 4*d. Is b < x? False Let c = -0.26 - -0.39. Let t = 0.09 - c. Is t at most 0.1? True Suppose 0*p + f = -p + 4, -4*f = -2*p + 8. Suppose 4*r = -p*k + 12 - 0, -9 = 4*r - 3*k. Is 0 at most as big as r? True Suppose -12 = 3*a, 3*v + 8*a - 4*a = 2. Is v <= 0? False Let g be 6/11*2/14. Let f = -76/1001 - g. Let m(o) = -o + 5. Let i be m(5). Is f > i? False Let d be (1 - 1/2)*-14. Suppose -n + 10 = 5*w - 12, -2*w = -2*n - 16. Which is smaller: n or d? d Let s = -3 + 2. Let x be 50 - (4 + -5)*1. Let g be -9 + 5 - x/(-15). Is g <= s? False Suppose 4*w + 0*s + 4*s = 16, -3*s + 10 = 5*w. Is w at least -7/3? True Let p be (9/66)/(27/12). Let d = -5/22 + p. Do 0 and d have the same value? False Let b = -3 + 1. Let h(f) = -f - 1. Let j be h(b). Is j greater than 4/7? True Suppose -20 = -5*i - 2*w - 1, 0 = -3*i + 3*w + 24. Let t be i*((-2)/4)/(-1). Suppose -2*p - 1 = -7. Which is smaller: p or t? t Suppose 19*f = 21*f - 2. Which is smaller: 1/26 or f? 1/26 Suppose 2*v = -0*g - 5*g + 55, 26 = 4*g - 2*v. Suppose 0 = 5*f - 20, -5*f + 7 = -a - 9. Suppose -g = -5*n - a. Which is greater: 2 or n? 2 Let b = 0.08 - 1.08. Do 1/8 and b have different values? True Let u = 4.3 - 4.2. Let t = -7 + 11. Which is smaller: t or u? u Let z(m) = 8*m + 41. Let d be z(-5). Which is smaller: d or 0? 0 Let y = 22 + -15. Suppose -d + 4*c = -12, 3*d + 20 = 7*d - 2*c. Suppose -5 - y = d*z. Which is bigger: -4 or z? z Let k = -163 - -177.2. Let p = 13 - k. Is p <= -2/9? True Let m(q) = q**3 + 12*q**2 - q - 12. Let h be m(-12). Suppose h = -2*f + 5*v, -3*v + v = 3*f. Which is bigger: f or -1/10? f Suppose 0 = 3*r + 4*g - 22, -5*r + 3*g = -20 - 7. Let m be 20/8 - 3/r. Let s = -0.4 + -1.6. Which is smaller: s or m? s Suppose -3*m + 144 = 3*m. Which is smaller: 23 or m? 23 Let a be (3 - 1)*(0 + -4). Let m be 164/14 + a/(-28). Let k be (3/m)/(1/4). Is 1 at least k? True Let z = -0.5 - -0.4. Suppose -328 = -3*m + 134. Let j be (-10)/(-55) - (-16)/m. Which is bigger: j or z? j Let p be (1*15 + -1)*1. Let c(y) = -y + 1. Let f be c(-4). Let x be (-10)/p*(-3)/f. Is 0 > x? False Let f(r) = -r**3 + 3*r**2 + 3*r + 1. Let b be f(3). Suppose 4*n = -2*u + b, -3*u + 9 = -n + 4*n. Is u at most as big as 2? True Let b(g) be the first derivative of -g**2/2 - 3*g + 1. Let c be b(-3). Which is greater: c or 6/5? 6/5 Let o = 7 - 4. Let c(k) be the second derivative of k**3/6 - 7*k**2/2 - 4*k. Let q be c(o). Does q = -4? True Let t be 4/(-6) - (-32)/39. Let f(w)
{ "pile_set_name": "DM Mathematics" }
he third biggest value in -4, 2/739, 20, -0.154? -0.154 Which is the biggest value? (a) -1/4 (b) 4 (c) -270 (d) 35 d What is the third biggest value in -0.03, 8485, 13.2? -0.03 What is the fourth smallest value in -1239, 0.084, 1.1, 2/5? 1.1 What is the third biggest value in 0.5, -11/54, 10.55, -1? -11/54 What is the third biggest value in -0.4, 33/5, -2/3, -130.7, -1? -2/3 What is the second smallest value in 6, 0.1, -3/7, -1539, 0.8, -15.2? -15.2 What is the second smallest value in 5, -2/149, -0.073, 0.3, 2/5, 73? -2/149 What is the second biggest value in -4, 6, -0.1, -24, -3/5, -6, 81? 6 What is the biggest value in 3813, -3/4, 9.84? 3813 Which is the second biggest value? (a) -1/7 (b) 0.109 (c) 0.2 (d) -0.82 (e) -0.4 b What is the third biggest value in -2508, -0.3, -5, -6/7, 5, 1/3, -0.1? -0.1 Which is the sixth smallest value? (a) -6 (b) 11 (c) 0.4 (d) 2/9 (e) 976 (f) 0.5 e What is the fourth biggest value in -3/5, 0.095, -31, 4? -31 What is the second smallest value in 1/3, 4/7, -2/15, -53, 2, -22.7? -22.7 What is the fourth smallest value in 92, -4/159, 34, -1? 92 Which is the fourth biggest value? (a) 108 (b) -6 (c) -16 (d) 40 c Which is the second smallest value? (a) 20914 (b) 3/13 (c) 0.7 (d) 2/9 (e) 4 b Which is the second biggest value? (a) -2/11 (b) -3.92 (c) 1 (d) 1/5 (e) 21.1 c What is the third biggest value in -619, -2/5, -5, 62/5? -5 Which is the smallest value? (a) 1.7 (b) -26 (c) 0.14861 (d) 0 b Which is the second biggest value? (a) 5 (b) -1/6 (c) -0.3 (d) 4 (e) 7/9 (f) 222 (g) 3 a What is the fourth biggest value in 4682/29, -10, 3/7, 2? -10 Which is the third smallest value? (a) 2/43 (b) -0.025 (c) 32061 c What is the second biggest value in -0.02, -1/4, -5/3, -23/3, 48? -0.02 What is the second biggest value in 3, -199, -16/9, 1, 0.01, -37/3? 1 Which is the third smallest value? (a) 243 (b) 10706 (c) -0.5 b What is the second smallest value in -0.14, 7/3, 1/3, 0.1, 0.7, 10/7? 0.1 What is the second smallest value in 7/19, 329, 13/5? 13/5 Which is the second biggest value? (a) -3 (b) 2/7 (c) -1/1501 (d) -5 (e) -0.028 (f) 0.11 f What is the third biggest value in 0.4, 35009695, -1/7? -1/7 What is the smallest value in -0.5, -2/3, -1/5, -0.88? -0.88 Which is the biggest value? (a) 4 (b) -62 (c) 22 (d) 0.26 (e) -71 c Which is the fourth smallest value? (a) -0.4 (b) -0.066 (c) -0.29 (d) -14.01 b What is the second smallest value in 2, 17.7, 10, -9/652, 5, 1/11? 1/11 Which is the sixth biggest value? (a) 0 (b) -0.23 (c) -2 (d) -4 (e) 1/3 (f) 2/11 (g) -1351 d What is the second smallest value in -1, -0.1, -13262718? -1 What is the third smallest value in 1/5, 35369, 3, 128, 1, -0.5? 1 What is the third biggest value in -2/11, -0.2, 0.3, 5.3, 2/5, -12, -1.2? 0.3 Which is the fourth biggest value? (a) 0.4 (b) 17484 (c) 10 (d) -8 d What is the smallest value in -84.2, 16, 3, 2, 5, -2/5? -84.2 Which is the smallest value? (a) 1/7 (b) 0.06 (c) 1/6 (d) 1 (e) 225 (f) 0 f Which is the fifth smallest value? (a) 0.5 (b) 0.3 (c) -122 (d) 4/3 (e) 2/15 d What is the sixth smallest value in -0.1, -4, -5724, 4/3, -0.3, 0.9? 4/3 What is the smallest value in -3, -13, 480753? -13 What is the fifth biggest value in 0.4, -25, 1/4, -76200, -1/2? -76200 Which is the biggest value? (a) 0.4 (b) 5/6 (c) -28185/2 b Which is the sixth smallest value? (a) -1/17 (b) 363 (c) -14/5 (d) -0.3 (e) 2/11 (f) -2 b What is the second biggest value in 12, -3/7, -1163, 397/5? 12 What is the biggest value in 25.2, 0, -6/11, 6/29, -0.26, 3? 25.2 Which is the biggest value? (a) 4 (b) -0.4 (c) 8 (d) -1/4 (e) -4/7 (f) 2332 (g) -5 f What is the fifth smallest value in 2, -0.2, 0, 3, -12, -1, -23/6? 0 What is the third biggest value in 29/293, 0.051, 150/7? 0.051 What is the smallest value in 8693, 681, -0.03? -0.03 Which is the smallest value? (a) -7 (b) 13 (c) -20 (d) -3 (e) -2/91 c What is the third biggest value in 0.167, 0.2, 35, 2/13, 52/3? 0.2 What is the second biggest value in -1921/3, 1, 90, -0.12? 1 Which is the second biggest value? (a) -5 (b) 0.07 (c) -0.073422 c What is the biggest value in 92, 3/4, -19.77, 2/11, -0.3? 92 What is the fourth biggest value in 13743, -1/14, -1, 2, -19/15, -5? -1 What is the smallest value in 1/5, -1669.3, -425.19? -1669.3 Which is the third smallest value? (a) 0 (b) 110 (c) -1.3871 b What is the fourth biggest value in 26306, 28, 0.4, 1/8? 1/8 Which is the biggest value? (a) 263743 (b) 3/5 (c) 1/3 a What is the second smallest value in 39930/7, -157, -1/10? -1/10 What is the second smallest value in -2210, -1405/11, -4/9? -1405/11 Which is the biggest value? (a) -17540 (b) -8 (c) 6 c What is the fifth biggest value in -4, -13/7, -2/21, 1/2, -0.197, -1, -2? -13/7 What is the second smallest value in 0.58, 245/4, -5, -0.1? -0.1 Which is the fifth biggest value? (a) 14 (b) 6 (c) -0.3 (d) 0.3 (e) -15 (f) 0.4 (g) -56 c Which is the smallest value? (a) 0.1 (b) -2/11 (c) 0.023 (d) -0.389 d Which is the second biggest value? (a) -2/11 (b) -56322 (c) -7 c Which is the third smallest value? (a) -0.3 (b) -0.7 (c) -0.4 (d) -5 (e) 4 (f) 1/7 (g) 617 c Which is the third smallest value? (a) -137844 (b) -1 (c) -0.4 (d) 0 (e) -2.2 b What is the second biggest value in -1, -92/19, 1/5, -27156? -1 Which is the third biggest value? (a) 5398412 (b) 2.8 (c) -1 c Which is the fourth smallest value? (a) 1 (b) -486/17 (c) -5/6 (d) -0.6 (e) -1/3 (f) -3/7 f Which is the third smallest value? (a) -2/7 (b) -5742 (c) -2 (d) -0.4 (e) -0.01 (f) -5 (g) 0.5 c Which is the second smallest value? (a) 4.667 (b) 0.5 (c) 3 (d) 413 (e) -1 (f) -2/7 f What is the third smallest value in -18/7, -14351/2, 1/8, -3? -18/7 What is the seventh biggest value in -3, -1/2, 1/4, 0.2, 19, 2/3, -1/5? -3 What is the third smallest value in 96, -3, -12/767? 96 Which is the sixth smallest value? (a) 1/5 (b) 2/11 (c) 0.5 (d) 252 (e) -5/4 (f) -1/18 (g) 5 g Which is the fourth smallest value? (a) 12 (b) 1 (c) -0.1 (d) -0.0815 (e) -9 (f) 6 b Which is the sixth biggest value? (a) -5.9 (b) 0.52 (c) 1/3 (d) -0.02 (e) -4 (f) 155 (g) 0 e Which is the biggest value? (a) -3.41 (b) 0.5 (c) -29 (d) -0.3 (e) 0.06 (f) 2/17 (g) -1/8 b Which is the second smallest value? (a) -34.61 (b) 0 (c) -0.5 (d) -9775 a What is the fifth biggest value in -2/9, -0.2, 1609, 0.2, -0.5, 1? -2/9 Which is the biggest value? (a) -0.29681 (b) 1/33 (c) -3 (d) 9 d What is the fourth biggest value in -6, 6.2899, 2/37, 0? -6 Which is the third smallest value? (a) -26857 (b) 0.05 (c) 3 (d) -595 b What is the fifth smallest value in -45, 1449, -1/5, 3, 1/4, 4? 4 What is the second smallest value in -223, 1/109, -204? -204 Which is the second biggest value? (a) 0.1 (b) -129 (c) 2.6543 a Which is the biggest value? (a) -99.1 (b) -2 (c) -31 (d) 0.25 d Which is the fourth smallest value? (a) -1 (b) -3 (c) -2/33 (d) -0.3 (e) 1840.1 c What is the sixth biggest value in 2.6, 1, -0.01, -1, 6.26, 3? -1 What is the sixth biggest value in -5, -2, -10, 1, 27877, 0.34, 3? -5 What is the biggest value in -2/53, 5, 0.05, 1/2, -14, 9/8? 5 Which is the fourth smallest value? (a) 0.1 (b) 0.01 (c) 2/6271 (d) -4 a Which is the third smallest value? (a) 184 (b) -1 (c) -5 (d) -2/3 (e) 209/5 d Which is the second biggest value? (a) 4 (b) 2 (c) 0 (d) -15/14122 b Which is the sixth biggest value? (a) -2/3 (b) 78 (c) -0.4 (d) 2 (e) -0.07 (f) -49 f What is the second smallest value in -0.0994234, -1/4, 3/23? -0.0994234 What is the fourth biggest value in -1/15, -6/5, 0.1, 5, 10, 0.18, 0.3? 0.18 What is the second biggest value in 40, -0.5, 226, 0.44, 2, -2/11, -2/9? 40 What is the smallest value in -4, 2/5, 2813053? -4 What is the third smallest value in -2, -4, -6, 55, 126.3? -2 Which is the fourth smallest value? (a) -9 (b) -1/8 (c) -0.36 (d) 0.51 d Which is the fourth smallest value? (a) -0.4 (b) 8 (c) 10 (d) 0 (e) -5 (f) 0.3 (g) -82/3 d Which is the second smallest value? (a) -0.4 (b) 30 (c) -0.3 (d) 6 (e) -2 (f) 11 a Which is the third biggest value? (a) 25 (b) -3/14 (c) -4 (d) -0.3 (e)
{ "pile_set_name": "DM Mathematics" }
252*k. Let j(v) = -7*v**3 + 1 + 4*v - 46*v**2 + 39*v**2 + k*v**3. Calculate j(5). -29 Suppose -2*h - 24 = 4*k, -5*h - 32 = 5*k + 8. Let n(v) = v**2 - 6*v + 15. Let j be n(4). Let x = k + j. Let l(p) = -2*p + 3. Calculate l(x). -3 Suppose 44*y - 601 - 257 = 5*y. Let l(x) = -x**2 + 22*x. Calculate l(y). 0 Let m(l) = 4*l + 155. Let c be m(-41). Let d(f) = 2*f**2 + 6*f - 111. Calculate d(c). -3 Let n(l) = -11*l**3 - 23*l**2 + 17*l + 32. Let i(w) = 4*w**3 + 8*w**2 - 6*w - 10. Let j(d) = -8*i(d) - 3*n(d). Determine j(-5). -1 Let q(p) = 2*p**2 + 8*p - 16. Let c(l) = 2*l**2 - 142*l - 2778. Let u be c(-16). Calculate q(u). 104 Let f(h) = 2*h**2 + 6*h + 8. Let r be 4/(-2)*(-3)/(15/(-5)). What is f(r)? 4 Let o(k) = k**2 - k - 3. Let p = 384 - 352. Suppose -4*g + p = 12*g. Determine o(g). -1 Let n = 42235 + -42237. Let t(z) = 72*z - 19. Determine t(n). -163 Let q(t) = 16*t + 12. Let d be (-4)/8 - ((-71)/(-10) - (-42)/(-70)). Give q(d). -100 Let v(u) = 284*u - 7097. Let p be v(25). Let y(g) be the second derivative of g**4/6 - 5*g**3/6 + g**2/2 - g. What is y(p)? 4 Let h(t) = -t - 1. Let o be (27/(-126))/(-3)*20*7. Suppose -7 = -u + 9. Suppose 2*g + u = -2*l, -g = -4*l - o - 7. Calculate h(g). 2 Suppose 4 = 3*f - 2*w - 7, -3*w = -4*f + 16. Let c be f/2 - (-2)/4. Let h(l) = 36*l - 20. Let a(i) = 12*i - 7. Let b(j) = -17*a(j) + 6*h(j). Calculate b(c). 11 Let u(q) = 9*q + 117. Let c = -18725 + 18708. Calculate u(c). -36 Let r(w) be the first derivative of w**3/3 - 3*w**2 - 20*w + 1330. Calculate r(-3). 7 Let g(y) = -3*y**2 - 96*y + 3. Let h = -3637 + 3605. Calculate g(h). 3 Let i(w) = -3 - 38*w**2 - 4 + w**3 + 52*w**2 - 5 + 12*w. What is i(-13)? 1 Let x(d) = 96*d - 4319. Let k be x(45). Let y(w) = 4*w - 4. What is y(k)? 0 Let t(m) be the second derivative of -1/12*m**4 - 5/2*m**3 - 80*m - 12*m**2 + 0. Calculate t(-13). 2 Let t(x) = -x + 5. Suppose -3*i + 2*l + 6 + 17 = 0, -i + 5*l = -25. Suppose 151*v = 298*v - 588. Let p be 1*((-1 - v) + i). What is t(p)? 5 Suppose -21 = 3*m + 3*a, -387*m = -382*m - 4*a + 44. Let d(x) = x**2 - x - 62. Calculate d(m). 10 Let y be 54/2 + 4 + -3. Let w = -18 + y. Suppose 0 = -w*r + 3*r + 28. Let p(d) = -d**2 + 5*d + 3. Calculate p(r). 7 Let h(m) = -6*m + 248 - 79 - 68. What is h(16)? 5 Suppose 0 = 281*n - 288*n - 1204. Let y = 167 + n. Let x(u) = -u**3 - 4*u**2 + 2*u - 4. Give x(y). 11 Let f(z) = -z. Let b be f(-3). Let a(k) = k**2 + 1. Let w(q) = -q**3 + q**2 + 3*q - 8. Let s(u) = b*a(u) + w(u). What is s(5)? -15 Let f(k) be the first derivative of -3/2*k**2 - 22 + 4*k. What is f(8)? -20 Let h(j) = -95*j - 2. Let r be h(-1). Let g = 87 - r. Let y(t) be the third derivative of -t**5/60 - 5*t**4/24 - t**3/3 + 9*t**2. What is y(g)? -8 Let h(j) = -j**3 - 9*j**2 - 8*j - 9. Let m(f) = -f**2 + 5*f + 58. Let o be m(11). Calculate h(o). -9 Let p(d) = -d + 0*d - 2 - 2 - 4. Suppose 5*h + 12 - 18 = 3*x, 5*x = -h - 10. Calculate p(h). -8 Let n(j) = -6 + 53*j + 48*j - 114*j. Let a = 4172 + -4175. Determine n(a). 33 Let g be ((-5)/(-20))/((-4)/(-272)). Let d = -11 + g. Let m(t) = 0 + d*t - t**2 + 5 + 1 + 1. What is m(6)? 7 Suppose 2*x + 11 = -q, -2*x + 3*x - 2*q = -8. Let i(v) = -4*v - 21. Let t be i(x). Let h be (-4 + 4)*t/9. Let d(g) = g - 4. Give d(h). -4 Let j(c) = -4*c**2 + 22*c**2 + 15*c - 3*c**2 - 10*c**2 + 12 - 2. Determine j(-2). 0 Let c(p) = p**3 + 22*p**2 + 14*p - 138. Let q be c(-21). Let v(o) = -o**3 + 7*o**2 + 20*o - 12. Determine v(q). 6 Let f(x) = -2*x + 7. Let p = 4242 + -4237. Suppose -4*m + q - 2*q + 69 = 0, -q = -2*m + 27. Suppose -p*i = -l + m, i + 8 = l - 0*i. Give f(l). -5 Let q(m) = 4*m**2 + 4*m - 2. Let w be q(-2). Let t be -2 + (-11 + w + 20 - 6). Let z(v) = -v**2 + 10*v - 21. Give z(t). 0 Let l(s) = 7*s**2 + 14*s + 15. Let w(v) = -8*v**2 - 15*v - 16. Let j(o) = 7*l(o) + 6*w(o). Suppose -246 = -16064*y + 16105*y. Give j(y). -3 Let i(p) = 7*p + 7*p**3 + 5 - 5*p**3 - p**3 + 6*p**2. Let y = 62 - 37. Let h be (-19)/4 + (1 - y/20). Give i(h). -5 Let x(j) be the first derivative of 4*j**2 + 42*j + 2845. What is x(-5)? 2 Let h(n) = -n - 32. Let p(z) = 6*z**2 - 71*z - 110. Let i be p(13). Give h(i). -13 Suppose 0 = 51*n - 52*n. Let h(g) = -6 + n - 4*g + 5*g + 4. Give h(-1). -3 Let n = -2233 - -2224. Let m(k) = -k**2 - 9*k + 11. What is m(n)? 11 Let c(l) be the second derivative of l**4/12 - 3*l**3/2 - 23*l**2 - 780*l - 2. Calculate c(13). 6 Let n(r) = 2*r**2 + 2*r + 1. Let l be 1 + (-1 + 4)*-1. Let s = l + -1. Determine n(s). 13 Suppose 2*q + 26 = 4*n, -4*n + 39 + 5 = -4*q. Let z(a) = 48*a + 36. Let o(w) = 37*w + 27. Let u(l) = 9*o(l) - 7*z(l). Calculate u(q). 18 Let l(j) = 6*j**2 - j**3 + 99 + 8*j + 0*j**3 - 109. Let o(f) = 7*f + 7. Let g be o(3). Suppose -4*q - 2*x = -g, -3*q + 22 = -4*x + 1. Determine l(q). -3 Suppose -3 = 6*v - 3. Let c(x) = v + 10 - 4 - 8. Let k(w) = w - 5. Let a(t) = -8*c(t) + 3*k(t). Determine a(-2). -5 Let s be (8/44)/((-12)/(2772/(-7))). Let j(b) = b**2 - 8*b + 5. Give j(s). -7 Let q(h) = -8*h. Let t be 380/6*-2*9/(-12). Let b = -96 + t. Calculate q(b). 8 Suppose -113*q = -109*q - 52. Suppose -8 = 7*g + q. Let j(p) = 13*p - 3. Let c(w) = -27*w + 6. Let f(k) = -6*c(k) - 13*j(k). Determine f(g). 24 Let w(p) = 428*p + 2995. Let h be w(-7). Let m(j) = 48*j + 47. Determine m(h). -1 Let x(s) = -7*s + 69*s**2 - 61*s**2 - 53 - 193*s**3 + 194*s**3. Calculate x(-8). 3 Let p be (-2)/(-3)*(-738)/12. Let c = p + 20. Let g = c - -27. Let m(q) = -q**3 + 6*q**2 + q. Calculate m(g). 6 Let g(j) = -j**3 - 7*j**2 + j + 4. Suppose 13 = -8*u - 99. Let h(q) = q**3 + 12*q**2 - 30*q - 35. Let p be h(u). Calculate g(p). -3 Suppose -i - 9*x + 10*x = -3, -6*x = 4*i - 42. Let w(q) = -6*q + 35. Calculate w(i). -1 Let s(z) = 7*z + 14. Let h(j) = -14*j**2 - 175*j - 90. Let m be h(-12). Give s(m). -28 Let b(k) be the third derivative of k**5/60 + 7*k**4/24 + 2*k**3/3 - 48*k**2 + 39. Give b(-5). -6 Let j(q) = 7*q**2 + 192*q - 28. Let o be j(-26). Let b = 285 + o. Let a(p) = 2*p + 10. Give a(b). 4 Let m(t) = 448*t - 3534. Let a be m(8). Let l(s) = 13*s - 650. What is l(a)? 0 Let z(g) = -g**3 - 4*g**2 + 2*g + 1. Let a = 44 - 39. Let l(v) = -90*v + 445. Let x be l(a). What is z(x)? 16 Let c = -10926 - -10940. Let s(b) = -b**2 + 19*b - 68. Determine s(c). 2 Let x(r) = -7*r**2 - r. Suppose 5*l + 28 - 83 = 0. Suppose 2 = l*f - 9*f. Let i(z) = z**2 - z - 1. Let s be i(f). Calculate x(s). -6 Let i(a) = a**3 - 5*a**2 - 5*a + 29. Let m be i(5). Let b(u) = -2 + 4*u**2 + m*u - u + u**3 + 6 - 1. Give b(-5). -37 Let d(l) = -l**3 - l**2 + 4*l - 4. Let v be 33/(-8)*2*376/(-141). Suppose 3*a = -4*r + 7*a + 32, 0 = r + 5*a + v. Determine d(r). -28 Let f(q) be the first derivative of 9*q**4/4 + q + 108. Let r(v) = 2*v**2 + 8*v - 1. Let x be r(-4). What is f(x)? -8 Let l be ((-1)/7)/(31/217) + 0. Let i(o) = 4*o**3 - o**2 + 5*o - 5. Let y(t) = -5*t**3 + t**2 - 4*t + 4. Let f(p) = -4*i(p) - 5*y(p). Determine f(l). -10 Let y(c) = -190*c - 37. Let k(h) = 523*h + 110. Let p(n) = 4*k(n) + 11*y(n). Give p(-11). 11 Let i(w) = 3*w**2 + 126*w**3 + w - 125*w**3 + 8*w - 14*w. Determine i(-4). 4 Let r(u) = u**2 - 7*u - 1. Let s be r(7). Let i = s - 3. Let p(j) be the third derivative of -j**4/24 + j**3/6 - 114630*j**2. Determine p(i). 5 Let t be (-1584)/27*6/(-4). Let s = 82 - t. Let c be (7/((-21)/s))/(-2). Let d(n) = 7*n**2 - 1. What is d(c)? 6 Let m(r) be the first derivative of r**3/3 - r**2 - 78*r + 215. Calculate m(-8). 2 Let h(v) = -3*v. Suppose 4*a - l - 70 = 0, -8 = -4*l - 0*l. Let u be (6/a)/(4/24) + -3. Determine h(u). 3 Let n(p) be the second derivative of p**5/24 + p**4/24 - 17*p**3/6 + 26*p. Let r(u) be the second derivative of n(u). Let d = 2 + -1. Determine r(d). 6 Let w = 64 + -61. Suppose -m = 4*m + w*h + 3, -2*h = -m - 11. Let a(p) = 6*p - 1. Give a(m). -19 Suppose -t = -6*t + 5. Let m be -3 - 4*(t + -3). Let o(g) = g**2 - g**2 + g**3 + 1 - 829*g - 4*g**2 + 825*g. What is o(m)? 6 Let l(h) = 0 - 8*h - 1 - 4. Suppose 0 = -3*y - 3*q - 27, 0 = -8*y + 6*q - 9*q - 37. Calculate l(y). 11 Let u = -5 - 1. Let s(c) be the third derivative of -c**4/24 - c**3/3 - 21*c**2 + 34*c - 19. What is s(u)? 4 Let l(x) be the third derivative of -x**6/360 + x**5/40 + 5*x**4/24 - 18*x**3 + 5*x**2 - 5. Let s(d) be the first derivative of l(d). Determine s(5). -5 Le
{ "pile_set_name": "DM Mathematics" }
+ 0 - p. Solve q(o) = 0 for o. 0 Factor -70*u + 4*u**2 + 245 - 4*u**2 - 6*u**2 + 11*u**2. 5*(u - 7)**2 Let s(x) = x**4 - 3*x**3 + x - 3. Let n(g) = g**4 - 5*g**3 + 2*g**2 + 3*g - 5. Let o(k) = 3*n(k) - 5*s(k). Factor o(r). -2*r*(r - 2)*(r + 1)**2 Let h(l) be the third derivative of -l**8/840 + l**7/525 + l**6/100 - l**5/30 + l**4/30 + 4*l**2. Solve h(a) = 0. -2, 0, 1 Let w be -6*(33/9 + -4). Factor -4*p + 3*p + 0*p - p**2 + 2*p**w. p*(p - 1) Let b(j) be the first derivative of j**4/18 + 4*j**3/27 + j**2/9 + 10. Factor b(z). 2*z*(z + 1)**2/9 Let k be 2/(-2 - (3 + -6)). Find z such that 1 - 4*z**2 + 4*z**2 + z**2 - k = 0. -1, 1 Let j(i) be the second derivative of -1/45*i**6 + 0*i**4 + 0*i**3 + 0 - 1/30*i**5 + 0*i**2 + 3*i. What is c in j(c) = 0? -1, 0 Let a(k) be the second derivative of -2*k**6/45 - k**5/15 + k**4/3 + 10*k**3/9 + 4*k**2/3 - 9*k. Factor a(g). -4*(g - 2)*(g + 1)**3/3 Let n(w) = 3*w**3 + 17*w**2 + 13*w + 7. Let k(x) = 11*x**3 + 69*x**2 + 51*x + 29. Let o(b) = -2*k(b) + 9*n(b). Factor o(v). 5*(v + 1)**3 Let f = 1189/5 + -237. Factor 0*b + 2/5*b**4 + 2/5*b**5 + 0*b**2 - f*b**3 + 0. 2*b**3*(b - 1)*(b + 2)/5 Let m(n) = -n**3 - 4*n**2 - 3*n. Let v be m(-3). Let j be ((-1)/1 - -3) + v. Let 2/9*s + 2/9*s**j + 0 = 0. What is s? -1, 0 Suppose -2*v = -j - 9, 2*j - 15 = -v - j. Let t be (v/(-4))/(15/(-20)). Determine d, given that 13/4*d**t - 3*d**3 - 1/4 + 0*d = 0. -1/4, 1/3, 1 Let t(g) = 5*g**4 + 6*g**3 + 2*g**2 - 6*g - 3. Let z(p) = 36*p**4 + 42*p**3 + 15*p**2 - 42*p - 21. Let y(q) = -15*t(q) + 2*z(q). Factor y(s). -3*(s - 1)*(s + 1)**3 Let n be (7/5 - 1)*120/96. Determine m so that m + n*m**2 + 1/2 = 0. -1 Let f(h) be the first derivative of -2/3*h**3 + 5/4*h**2 - 1/2*h - 2. Suppose f(l) = 0. What is l? 1/4, 1 Let m be (66/(-4) + 3)/(-6). Find o such that -3/4*o**3 + 0 + 0*o + m*o**2 = 0. 0, 3 Suppose -16 = -3*k + 29. Let a be ((-3)/k)/((-1)/2). Factor -a*c**3 + 0*c**2 + 2/5*c + 0. -2*c*(c - 1)*(c + 1)/5 What is t in -32/7*t**4 + 0 - 12/7*t**2 - 18/7*t**5 + 62/7*t**3 + 0*t = 0? -3, 0, 2/9, 1 Let d = -36 + 44. Let v(c) be the third derivative of 0 - 2/735*c**7 + 1/420*c**6 + 0*c**3 + 2*c**2 + 0*c**5 + 1/1176*c**d + 0*c**4 + 0*c. Factor v(m). 2*m**3*(m - 1)**2/7 Let a(k) be the second derivative of k**5/100 + k**4/10 - 8*k. Suppose a(o) = 0. Calculate o. -6, 0 Let z(y) be the second derivative of y**10/30240 + y**9/15120 - y**8/6720 - y**7/2520 + y**4/6 - y. Let x(s) be the third derivative of z(s). Factor x(n). n**2*(n - 1)*(n + 1)**2 Let d be 36/4 + 99/(-11). Factor 0*r - 2/3*r**2 + d - 2/3*r**3. -2*r**2*(r + 1)/3 Factor 3/2*n**3 - n + 3/2*n**2 - 7/2*n**4 + 0 + 3/2*n**5. n*(n - 1)**3*(3*n + 2)/2 Let z(q) be the second derivative of 0*q**2 + 1/16*q**4 - 6*q - 3/80*q**5 + 0 + 1/120*q**6 - 1/24*q**3. Suppose z(p) = 0. What is p? 0, 1 Let c = 6057/7 + -865. Factor -c + 2/7*z**4 - 4/7*z**3 + 0*z**2 + 4/7*z. 2*(z - 1)**3*(z + 1)/7 Suppose -o - 9 = -4*x, -6*o + 2*o + 3*x = -3. Solve -3/4*r**o + r**2 + 1/4*r - 1/2 = 0 for r. -2/3, 1 Let b(z) = z**2 + z. Let n(t) = -8*t**2 - 8*t. Let m(a) = 28*b(a) + 4*n(a). Solve m(u) = 0. -1, 0 Solve 4/3*n**3 + 4/3*n**2 + 0 + 0*n = 0 for n. -1, 0 Let i(v) be the third derivative of v**8/840 - v**7/420 - v**3 + v**2. Let l(z) be the first derivative of i(z). Factor l(c). 2*c**3*(c - 1) Suppose -2*t = -6*t - 28. Let n = -4 - t. Factor 5*c**n - c**3 - c**4 - 2*c**3 + 4*c + 3*c**3 - 8*c**2. -c*(c - 2)**2*(c - 1) Suppose 0 = 5*t + 4*d - 5, 3*d = -t + 3*t - 25. Suppose t*g = -0 + 10. Factor 2/7*r**4 + 0*r**g + 0 + 0*r**3 + 0*r - 2/7*r**5. -2*r**4*(r - 1)/7 Let g(o) be the third derivative of -o**9/15120 - o**8/1260 - o**7/420 + o**5/6 - 5*o**2. Let r(f) be the third derivative of g(f). Factor r(m). -4*m*(m + 1)*(m + 3) Let -9 - 15/2*m + 3/2*m**2 = 0. What is m? -1, 6 Let g(p) = -p**2 + 13*p + 8. Let d(b) = -b**2 + 25*b + 16. Let t(s) = -3*d(s) + 5*g(s). Factor t(k). -2*(k + 1)*(k + 4) Let i(l) be the third derivative of l**8/70560 - l**7/8820 + l**5/30 - 2*l**2. Let p(n) be the third derivative of i(n). Find r such that p(r) = 0. 0, 2 Let t(s) be the first derivative of -6*s**6/5 + 108*s**5/25 + 7*s**4/5 - 92*s**3/15 + 12*s**2/5 - 27. Find u, given that t(u) = 0. -1, 0, 1/3, 2/3, 3 Let t(p) be the first derivative of p**6/60 - p**5/90 - p**4/18 - p**2 + 3. Let z(g) be the second derivative of t(g). Determine s so that z(s) = 0. -2/3, 0, 1 Factor 0*v**2 + 3*v**5 - 6*v**3 + 17*v + 0*v**2 - 14*v. 3*v*(v - 1)**2*(v + 1)**2 Let q be 0*(3/6*2)/(-1). Factor 0 + 2/3*f**2 + q*f - 2/3*f**4 + 0*f**3. -2*f**2*(f - 1)*(f + 1)/3 Let z(w) be the first derivative of -4*w**3/3 + 8*w**2 + 9. Find h, given that z(h) = 0. 0, 4 Let l(s) = -2*s**4 - 2*s**3 - s**2 + 2*s - 4. Let b(u) = u**4 + u**3 - u + 2. Let n(c) = 7*b(c) + 3*l(c). Solve n(r) = 0 for r. -2, -1, 1 Determine y, given that 0 - 1/4*y - 1/4*y**2 = 0. -1, 0 Let b = 17 + -17. Factor -1/2 + b*x**2 + 3/4*x - 1/4*x**3. -(x - 1)**2*(x + 2)/4 Let q(t) be the second derivative of t**8/6720 + t**7/1260 - t**4/6 - 4*t. Let s(u) be the third derivative of q(u). Let s(x) = 0. What is x? -2, 0 Factor 1/12*k**3 - 1/6*k**2 - 1/4*k + 0. k*(k - 3)*(k + 1)/12 Let a(v) be the third derivative of 0*v**3 - 1/8*v**4 + 1/112*v**8 + 1/10*v**5 + 0*v + 0 - 3*v**2 - 1/35*v**7 + 0*v**6. Determine u so that a(u) = 0. -1, 0, 1 Let p(a) = -10*a**2 + 4. Let q = 6 - 5. Let d(w) = 0 - w + 6 - 20*w**2 + q. Let j(r) = 4*d(r) - 7*p(r). Factor j(s). -2*s*(5*s + 2) Suppose -5/3*u**2 - 4/3*u**4 + 2/3*u - 11/3*u**3 + 0 = 0. Calculate u. -2, -1, 0, 1/4 Let m(z) be the third derivative of 5*z**2 + 0*z - 1/140*z**6 + 1/14*z**3 + 0*z**5 + 0 - 1/490*z**7 + 1/28*z**4. Find q such that m(q) = 0. -1, 1 Let w = -8 + 12. Suppose -5*a + 3 = 4*i, -4*i - 21 = -3*a - 0*i. Let a*c**2 + 7/3*c + 2/3 + 1/3*c**w + 5/3*c**3 = 0. What is c? -2, -1 Let j(h) = -h**3. Let c(s) = 85*s**2 + 155*s + 75. Let p(r) = -c(r) + 5*j(r). Factor p(w). -5*(w + 1)**2*(w + 15) Let u(r) be the second derivative of -r**6/105 - 3*r**5/70 - r**4/21 - 22*r. Suppose u(f) = 0. What is f? -2, -1, 0 Determine o so that 3*o + 0*o**2 + 3/4*o**5 + 0*o**4 + 0 - 15/4*o**3 = 0. -2, -1, 0, 1, 2 Let s(n) = -2*n**2 + 6*n + 0*n**2 + 0*n**2 + 3*n**2 - 7. Let v be s(-7). Factor v + 1/3*z**2 + 1/3*z. z*(z + 1)/3 Let v be 30/135 - 4/(-9). Let z(d) be the first derivative of -d**2 + 1/2*d**4 + v*d**3 - 1 - 2*d. Factor z(c). 2*(c - 1)*(c + 1)**2 Let w = 167729/7 + -24120. Let q = w + 159. Factor 0*f - q*f**4 - 8/7*f**2 + 0 + 8/7*f**3. -2*f**2*(f - 2)**2/7 Suppose 2*v + 5*q = -16, -5*v = -5*q + 7*q - 2. Let y(a) be the second derivative of 2/21*a**3 - 1/7*a**2 + 0 - 1/42*a**4 + v*a. Factor y(r). -2*(r - 1)**2/7 Let 7*m + 5*m**4 + 5*m - 10 + 4*m**2 + 3*m - 15*m**3 + m**2 = 0. Calculate m. -1, 1, 2 Let u(o) be the third derivative of -o**5/60 - o**4/12 + 4*o**2. Let g be u(-2). Let -2/9*m**2 + 0*m + g = 0. What is m? 0 Suppose 5*c + 0*c = 10. Find r such that -c*r**2 - 3*r**2 + 6*r**2 + 2*r**3 + 2 - 2*r - 3*r**2 = 0. -1, 1 Let r(f) be the first derivative of -1/27*f**6 + 1 - 16/9*f**2 - 19/18*f**4 + 14/45*f**5 + 8/9*f + 50/27*f**3. What is u in r(u) = 0? 1, 2 Let w be 59 + -61 - (36/(-5))/2. Factor -2/5*o**4 + 0 + w*o**3 + 4/5*o - 2*o**2. -2*o*(o - 2)*(o - 1)**2/5 Suppose -g + 4*y = -150, -3*y = -g - 5*y + 168. Let s = 491/3 - g. Factor s*o + 2/3 - o**3 - 4/3*o**2. -(o - 1)*(o + 2)*(3*o + 1)/3 Let h = 9 - 7. Factor 0*t - 2*t**4 - h*t**5 + 2*t - 4*t**2 + 6*t**4. -2*t*(t - 1)**3*(t + 1) Let r(n) = n**3 - 5*n**2 - 2*n - 9. Let x be r(7). Let z be 65/x + 1/(-5). Factor 2/3*f + z*f**2 + 0. 2*f*(f + 1)/3 Let r(u) be the first derivative of 0*u + 0*u**2 + 4/15*u**3 + 3 + 1/10*u**4. Factor r(k). 2*k**2*(k + 2)/5 Let a(s) be the third derivative of -s**4/24 + 7*s**3/6 + 2*s**2. Let y be a(5). Let 3*o**4 + y*o - 16*o**3 - 22*o**2 + 39*o**4 - 6*o = 0. What is o? -1/3, -2/7, 0, 1 Let c(j) be the first derivative of 2*j**3/27 + j**2/9 + 5. Factor c(o). 2*o*(o + 1)/9 Let l = 112 + -782/7. Let f = 1922/1645 - 6/235. Find g, given that -f + 8/7*g - l*g**2 = 0. 2 Suppose -5*g - 4*b + 84 = 0, -4*b = g - 4*g + 44. Let 4*k - k**3 - 3*k - g + 16 = 0. Calculate k. -1, 0, 1 Suppose -4*i - 1 = -5*i. Let j be 104/20 - i/5. Factor -j*r - 12 + 14*r**2 - 31*r - 12*r**2 - 29*r**2. -3*(3*r + 2)**2 Let i(
{ "pile_set_name": "DM Mathematics" }
sqrt(1250) - (sqrt(1250) + sqrt(1250)*4)*6)/(3*-2*sqrt(1210)). 145*sqrt(5)/66 Simplify 3*sqrt(14)/(1*sqrt(175) + sqrt(7)) - (sqrt(352)*2)/(sqrt(22)/(2*sqrt(2))). -31*sqrt(2)/2 Simplify (sqrt(168)/(sqrt(7) + 1*sqrt(7)))/sqrt(8) - ((0 + sqrt(243))*3)**2. -2187 + sqrt(3)/2 Simplify (-5*(sqrt(1539) + -2*sqrt(1539))*-1 + 0 + -1 + sqrt(76) + 4)**2. -258*sqrt(19) + 35140 Simplify (2 + ((2 + 0 + sqrt(175) - sqrt(175)) + 0 - (1*-2*sqrt(175) + sqrt(175) - (1 + sqrt(175) + 3 + sqrt(175) - sqrt(175)))))**2. 160*sqrt(7) + 764 Simplify (-1 + sqrt(275))*1*-2*1 + -3 + -1. -10*sqrt(11) - 2 Simplify (sqrt(110) + sqrt(110) + 3*sqrt(110)*2)/((sqrt(810) - sqrt(10))*4 + sqrt(10)). 8*sqrt(11)/33 Simplify (sqrt(18)/(sqrt(6)*1*5) + (sqrt(33) - ((-2*sqrt(99) - sqrt(99)) + sqrt(99))/sqrt(3))/sqrt(11))**2 + 0 + 1. 793/25 Simplify (3*(sqrt(117)*1 + sqrt(117)) + -2*((2*sqrt(117) - sqrt(117) - sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117)))/(-3*sqrt(729)*3). -4*sqrt(13)/81 Simplify sqrt(27)*3*4 - (sqrt(18) + -6*4*sqrt(18))/sqrt(6). 59*sqrt(3) Simplify (((sqrt(91) - sqrt(91)*1)*-5 - sqrt(91))/sqrt(2268))**2. 13/324 Simplify 1 + 4*(2 + sqrt(17) - sqrt(17)) + (-2*sqrt(1377) + -1)**2. 36*sqrt(17) + 5518 Simplify (2*-2*sqrt(102))/(1*1*sqrt(6))*-1 + 0. 4*sqrt(17) Simplify 4*1*(1*1*sqrt(17) - (sqrt(272) + -1)**2)*3*2. -6552 + 216*sqrt(17) Simplify 2*(3*(-3 + -4 + sqrt(4)/sqrt(2)))**2. -252*sqrt(2) + 918 Simplify (4*(sqrt(1029) + sqrt(1029)*-1))/(sqrt(84)/(1*sqrt(768))). 0 Simplify 4*((2 + sqrt(2)*3)*-3 + (sqrt(98)*2 + -5)**2). -596*sqrt(2) + 1644 Simplify (((sqrt(6000)*-3)/sqrt(6))/(sqrt(16)/((sqrt(8) - sqrt(648))*1)))**2. 288000 Simplify 0 + sqrt(110)/(sqrt(80)/(-2*sqrt(8))) - ((sqrt(110) - 1*(sqrt(110) - 1*sqrt(110)))/(sqrt(10) - (sqrt(10) - sqrt(160)*-2)))**2. -2*sqrt(11) - 11/64 Simplify 6*sqrt(48) + -2 + 2 - (-3*(sqrt(75) + -1) + 5). -8 + 39*sqrt(3) Simplify ((sqrt(77)*1*-5 + (sqrt(77) - (sqrt(77)*1 - sqrt(77))*6))/(3*(sqrt(11) + sqrt(176)) + -1*sqrt(176) + sqrt(11)))**2. 7/9 Simplify -3*(-2 + (3*sqrt(144))/(sqrt(15)/(sqrt(35)/sqrt(7))))**2. -1308 + 144*sqrt(3) Simplify (sqrt(242) + -6*(sqrt(242) + 0) + (sqrt(8)*3 - (sqrt(6)/sqrt(3) + -3 - sqrt(2))))**2. -294*sqrt(2) + 4811 Simplify 2*3*((sqrt(1700)*2 + -2 + sqrt(1700))**2 + 6*(-1 + sqrt(1700))**2)*1. -1440*sqrt(17) + 153060 Simplify -4*((sqrt(12)/(sqrt(3) - sqrt(3)*2) - sqrt(4)) + sqrt(4))/sqrt(2) - (sqrt(16)/(-2*sqrt(8)*-2) + 0)**2. -1/8 + 4*sqrt(2) Simplify 5*(1 + sqrt(1539) + -2 + -5)**2*5. -2700*sqrt(19) + 39375 Simplify (sqrt(68)/(sqrt(4) - sqrt(20)/(-1*sqrt(5) - sqrt(5))) - (-4*(4*sqrt(833) + sqrt(833) - sqrt(833)))**2) + 4. -213244 + 2*sqrt(17)/3 Simplify -2 + ((sqrt(99) + -2*sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(11) - (1 + sqrt(11) + -5))**2 + 1. -40*sqrt(11) + 290 Simplify (2*((sqrt(448) - (1 + sqrt(448)))*-4 + (-5*sqrt(448)*2 - sqrt(448) - sqrt(448))) + 0)**2. -3072*sqrt(7) + 258112 Simplify (2*sqrt(119)*1 + (sqrt(119)*-2 + sqrt(119))*-1)/(sqrt(700)*2 + sqrt(700) + (sqrt(56)/sqrt(2))/sqrt(4)). 3*sqrt(17)/31 Simplify 2 + ((sqrt(1377) + -1 + sqrt(1377) - sqrt(1377))**2 + 1 - ((sqrt(1377) - (-1 + sqrt(1377) - sqrt(1377))**2) + 4))*5 + -1. -135*sqrt(17) + 6881 Simplify 2*4*(sqrt(252) + 2 + 1 + sqrt(252)*-2 + 2)**2*5. -2400*sqrt(7) + 11080 Simplify (sqrt(44)/(sqrt(12)/sqrt(3) + sqrt(4)) - sqrt(11) - (sqrt(1331) + (1*sqrt(1331) - sqrt(1331))) - (sqrt(121)/(sqrt(11)*2) + -5))**2. -120*sqrt(11) + 1609 Simplify ((sqrt(36) + sqrt(36) + 2*sqrt(36)*-3 + sqrt(36))/sqrt(12) + ((sqrt(48) - sqrt(3))*-2)**2*-2 + -4)*3. -660 - 9*sqrt(3) Simplify -4 + (sqrt(36)/sqrt(3) + 5)**2 + sqrt(48)/((2*sqrt(32))/sqrt(8)). 33 + 21*sqrt(3) Simplify (-2*-2*(sqrt(1008)*-6)/((sqrt(192)/sqrt(4))/sqrt(12)))**2. 145152 Simplify 4 + (-2*(sqrt(133) + sqrt(133)*3))/(sqrt(56)/sqrt(8)*-1). 4 + 8*sqrt(19) Simplify 2 + (sqrt(5) + sqrt(5) + -3)**2 + -4*(2 + sqrt(5)) + -2. -16*sqrt(5) + 21 Simplify -2 + (sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + -1))) - sqrt(68) - (sqrt(612) + (sqrt(612) - (sqrt(612) - 1*sqrt(612)))**2)) + -3. -618 - 4*sqrt(17) Simplify (3 + -4 + sqrt(68) + 3 - (-6*(-1 + sqrt(68)) - (sqrt(68) + 0 + sqrt(68) + 5 - sqrt(68))))**2. 32*sqrt(17) + 4353 Simplify 2 + sqrt(68)*-2*4 + -3*((sqrt(425)*-2)**2 - sqrt(17)*1*-3). -5098 - 25*sqrt(17) Simplify (sqrt(68) - (sqrt(68)*-3 + sqrt(68) - sqrt(68) - sqrt(68))*-1)/(sqrt(144) - (sqrt(144) - (sqrt(144)*-2 - sqrt(144))) - sqrt(4)). 3*sqrt(17)/19 Simplify -4 + (sqrt(17) + (sqrt(17) + 1)**2 + 0 + (4 + 0 + sqrt(17) + sqrt(17))**2 - (0 + sqrt(272) + 2)). 15*sqrt(17) + 96 Simplify -3*(sqrt(130)/sqrt(360) + -5 + -2)**2*-4. -28*sqrt(13) + 1777/3 Simplify (-2*sqrt(88)*-1)/(sqrt(33)/(-2*sqrt(12)/sqrt(4))). -8*sqrt(2) Simplify ((sqrt(57)/sqrt(3)*1)**2*2 + 3)*2*-1. -82 Simplify 0 + 0 + sqrt(304) - (2*sqrt(38)/sqrt(2) + -3). 3 + 2*sqrt(19) Simplify (2 + 0 + -2 + sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567) + (sqrt(567) - (sqrt(567) - (1 + sqrt(567)))*-1 - sqrt(567)) + 5)**2. 288*sqrt(7) + 9088 Simplify ((sqrt(24)/(sqrt(12)*-2) - (-1 + sqrt(288)))**2 - (1*sqrt(242) - sqrt(242) - (sqrt(100)/sqrt(2))**2)) + 5. -25*sqrt(2) + 737/2 Simplify ((sqrt(77) + -6*sqrt(77)*-1 + sqrt(77) - sqrt(77))/sqrt(11) - ((-1 + sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7))*1 + sqrt(7) + 0 + sqrt(112))**2)*-6. -78*sqrt(7) + 384 Simplify (-3 + -5 + (sqrt(720) - (4 + sqrt(720) + 0))*2 + -4)**2. 400 Simplify 1*((sqrt(162) + 0 - sqrt(162)) + (sqrt(18) - (-2 + sqrt(18) + sqrt(18)))**2 + -1). -12*sqrt(2) + 21 Simplify (-6*sqrt(45))**2 + sqrt(45) + 4 - -4*(-3 + sqrt(245)). 31*sqrt(5) + 1612 Simplify (sqrt(99)/(-1*sqrt(3)) + sqrt(33))/(sqrt(11) - (sqrt(11) - 2*sqrt(891))). 0 Simplify 1*(-3 + (-2 + sqrt(468) + sqrt(117)*2)**2 + -1). -48*sqrt(13) + 1872 Simplify -2*(sqrt(425) + (sqrt(425) - (((sqrt(425) - 2*sqrt(425)) + 2 - sqrt(425) - sqrt(425))**2 - sqrt(425))) + sqrt(425))*2*3. -960*sqrt(17) + 45948 Simplify ((sqrt(3) - sqrt(324)/sqrt(12)) + 4 - ((sqrt(3) + (sqrt(3)*1 - sqrt(3)) - sqrt(3)) + 5 + 3*sqrt(9)/sqrt(3)))**2. 10*sqrt(3) + 76 Simplify 1*(-2 + 5*((sqrt(704) + -2)**2 - sqrt(704)) + -6*(sqrt(704) + 0) + 1). -248*sqrt(11) + 3539 Simplify ((sqrt(1664) + (sqrt(1664) + (sqrt(1664) - -1*sqrt(1664)) - sqrt(1664)))*-3)/((sqrt(2420) - -2*sqrt(2420) - sqrt(2420) - sqrt(2420))/sqrt(10)). -72*sqrt(13)/11 Simplify 3 + ((sqrt(57) + (2*sqrt(342))/sqrt(6))/(sqrt(3) + sqrt(9)/sqrt(3)*3))**2. 219/16 Simplify (sqrt(3) + sqrt(3) + 0)*-4 + -1 + 3 + sqrt(243) + (sqrt(243) - (sqrt(243) + 1)). 1 + sqrt(3) Simplify (sqrt(39)/(-2*sqrt(3)) - -4*(-2 + sqrt(13)) - (sqrt(468) + 2 - sqrt(468))**2*-6)*-2. -32 - 7*sqrt(13) Simplify 5*(1*(sqrt(171))**2 - (sqrt(684) + 0 + sqrt(684))**2) + (3 + -4*2*sqrt(76))**2. -7952 - 96*sqrt(19) Simplify (sqrt(88)*-2 + sqrt(198)/(-2*sqrt(9)))/((sqrt(99) - (sqrt(99) - sqrt(99)*-2))*-5). -3*sqrt(2)/20 Simplify ((3*(sqrt(77) + (-2*sqrt(77) - sqrt(77))))/sqrt(7) - (sqrt(55)/(sqrt(5) + sqrt(5)*2) - -5*(-1 + sqrt(11))))**2. -340*sqrt(11)/3 + 12941/9 Simplify -3 + (2*sqrt(39)/(-2*sqrt(108) + sqrt(108)))**2 + -5. -59/9 Simplify -4*((3*(sqrt(1296) - ((-2*sqrt(1296) - sqrt(1296)) + sqrt(1296))) - sqrt(1296)) + sqrt(1296))/(6*-6*sqrt(8)*1). 9*sqrt(2) Simplify (-2*(sqrt(30) - (sqrt(60)/sqrt(2) + sqrt(30))) - (sqrt(1470) + 2*sqrt(1470) + sqrt(1470)))/(4*sqrt(54)*-4). 13*sqrt(5)/24 Simplify 4 + ((sqrt(13) - 5*(-2 + sqrt(13)))*-3)**2 + (((sqrt(351) - (sqrt(351) + sqrt(351)*-2 - sqrt(351)))/sqrt(9))/sqrt(3))**2. -720*sqrt(13) + 2893 Simplify -3 + 3*((sqrt(252) + -2)**2*-2 - (2 + sqrt(252) + -2)). -1539 + 126*sqrt(7) Simplify (((sqrt(4) - (sqrt(384)/sqrt(6) - sqrt(4)) - sqrt(4))*5)/(sqrt(12)/(sqrt(12)/sqrt(2)) - -5*(sqrt(2) + sqrt(8)/sqrt(4))))**2. 450/121 Simplify -5 + sqrt(117)*1*2 + sqrt(117) + (sqrt(117) + 1*sqrt(117) - sqrt(117)) + 2 + -4 + (sqrt(117) + 1)**2 + -2*sqrt(117) + 1. 12*sqrt(13) + 112 Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) - sqrt(187)*-1*-3)) + (sqrt(187) - (-4*2*sqrt(187) - sqrt(187))))/((sqrt(44) - 1*2*sqrt(44))/sqrt(4)). -14*sqrt(17) Simplify (sqrt(270)*-2 - sqrt(270))/(sqrt(250)*-2 + sqrt(10))*-5. -5*sqrt(3) Simplify -4 + 5 + ((sqrt(180) - (-2 + sqrt(180))*4) + 5)**2. -468*sqrt(5) + 1790 Simplify 4*((sqrt(75)*2)**2 + -3) + 4. 1192 Simplify 5*(-1*sqrt(133)*2)/(-2*sqrt(63) + sqrt(63)). 10*sqrt(19)/3 Simplify ((sqrt(490)*-3)/sq
{ "pile_set_name": "DM Mathematics" }
r of 19/2 and k? 10 Let o be (-1)/(-2) - 202/4. Calculate the common denominator of (-15)/o*165/(-8) and -31/4. 16 Suppose 0 = -3*o + 2*o - 1. Let k(q) = 13*q - 10. Calculate the least common multiple of 6/(0 + o/(-1)) and k(2). 48 Let v(l) = 7*l - 12. Let u be v(9). Suppose -21 = 3*h - u. Let w = -5 - -13. What is the lowest common multiple of w and h? 40 Let u(s) = s**3 + 13*s**2 - 17*s - 28. What is the least common multiple of u(-14) and 24? 168 Suppose 0 = 3*r + 2*r - 80. Suppose -2*h + 2*g + 3*g - 4 = 0, 0 = 2*h + 5*g - r. What is the least common multiple of h and 1? 3 Let d = 79 - 49. What is the smallest common multiple of d and 12? 60 Let o(w) = -48*w - 1. Let q(m) be the third derivative of m**5/60 - m**4/4 - m**3/6 + 2*m**2. Let f be q(6). Find the common denominator of o(f) and -63/10. 10 Suppose 0*q - 4*q = -4. What is the smallest common multiple of q and 5? 5 Let w = 2766/371 - 9/53. Find the common denominator of 27/11 and w. 77 Let l = 51798954 + -932711665/18. Let w(k) = -9184*k - 2. Let x be w(-2). Let n = l + x. Calculate the common denominator of n and 85/22. 198 Suppose o + 3 = 0, 5*o - 2*o = -h - 37. Let p(n) = -97*n + 8. Let j be p(6). Find the common denominator of 2/9 and (24/h)/(40/j). 90 Let f = 6 - -3. Suppose -72 = 4*t - 8*t. Calculate the smallest common multiple of 10 and (f/3)/(3/t). 90 Let g be 4/(-8)*(0 - -30). Let t = 21 + g. Suppose -3*n + n + 28 = 0. What is the least common multiple of t and n? 42 Let u(h) = 11*h + 2. Let z be u(-6). Let l be (2 - -72)*(-942)/z. Let s = 1093 - l. Calculate the common denominator of s and 19/6. 48 Let s = 16 + -5. Let v(h) be the third derivative of h**5/60 - 3*h**4/8 - 5*h**3/6 + 3*h**2. Calculate the least common multiple of v(10) and s. 55 Suppose 0 = 2*q + 10, -2*p + 4*p = -3*q + 1. Calculate the smallest common multiple of 18 and p. 72 Let p be (178/(-30))/(4/(-219)). Let m = p - 321. What is the common denominator of m and (-1*(-29)/(-12))/(-1)? 60 Find the common denominator of (-15)/(-5) - 69/(-30) and 0 + (-150)/(-16) + 1. 40 Find the common denominator of 1212/(-40) + 2/(-10) and 1/20. 20 Let b be (2/4)/(2/(-109)). Let s = 26 + b. Calculate the common denominator of 9/8 and s. 8 Let q(b) = -b + 3. Let w(n) = 2*n - 2. Let g be w(5). Suppose 4*y = g*y - 20. Calculate the smallest common multiple of y and q(-4). 35 Let b be ((-226)/(-6))/(10/(-105)). Let j = 1998/5 + b. What is the common denominator of 4/7 and j? 70 Let h be (-22)/(-6) + 1/3. Calculate the least common multiple of 6/9*6/h and 5. 5 Let o(j) = 1623*j**2 + j - 1. Let x be o(1). Calculate the common denominator of (-4)/(-10) + x/(-570) and -41/20. 380 Let t = -10719/11 - -1057139/110. Let w = t + -5382. Let v = -3249 + w. Find the common denominator of v and -31/7. 70 Let f = -14441/8 - -1815. Calculate the common denominator of ((-1)/5)/((-12)/(-1090)) and f. 24 Suppose 0 = 5*y - 5*q + 60, -5*q + 0*q - 60 = 5*y. Calculate the common denominator of ((-59)/y)/(2/4) and -2/11. 66 Let d(h) = -h**3 + 14. Calculate the smallest common multiple of 4 and d(0). 28 Let s = 1907/2 + -910. Let o = -1974 + 11959/6. What is the common denominator of o and s? 6 Let g(p) = -p**2 - 12*p + 17. What is the lowest common multiple of 18 and g(-13)? 36 Let c = 7172 + -57467/8. Calculate the common denominator of 109/14 and c. 56 Let l(d) = d**3 - d**2 - 1. Let k be l(2). What is the common denominator of -73/10 and (2/k)/(4/237)? 10 Let h(d) = -3*d**2 - 18*d - 7. What is the smallest common multiple of 16 and h(-5)? 16 Suppose -o - 4*c = 4, 16 = 5*o + 5*c + 111. Find the common denominator of 39 and (-4 - (-236)/o)/(-1). 6 Let t = -2849 + 8732/3. Let u = 943/15 - t. Find the common denominator of ((-6)/8)/((-2)/(-68)) and u. 10 Suppose 0 = 5*p - s - 180, 2*p - 5*s + s = 72. What is the common denominator of (45/p)/(2/36) and 53/10? 10 Let a = -32 + 54. What is the least common multiple of 4 and a? 44 Suppose -3*r + 2*r = 0. Suppose -4*z + 580 = -r*z - 5*y, -3*y - 738 = -5*z. What is the common denominator of 7/12 and ((-273)/z)/(2/(-5))? 60 Let u(c) = 3*c + 79. Calculate the smallest common multiple of u(-25) and 3. 12 Let z(l) = l**2 + 4*l - 7. Let c be z(-6). Suppose -c*m = 3*n + 97, -2*n + 0*n - 65 = 3*m. Let r = -1199/69 - -24/23. What is the common denominator of r and n? 3 Let t(m) = 5*m**2 + 4*m - 6. Let n be t(7). Find the common denominator of (n/24)/(3/12) and -19/4. 4 Let v be 1640/818 + (-13 - -11). Let g = v + -6550/1227. Find the common denominator of g and 71/10. 30 Suppose -5*z + 23 + 7 = 0. What is the lowest common multiple of 8 and z? 24 Let s(z) = 3*z - 2*z**2 - 7 + 3*z**2 - 7*z. Calculate the least common multiple of s(6) and (-2 + 0)/(4/(-10)). 5 Let n = 4 - -6. What is the lowest common multiple of 34 and n? 170 Let k = 112 - 72. Suppose 1 = 5*m - 34. What is the common denominator of -125/6 and 1 - m/((-154)/k)? 66 Suppose 4*r + 5 = -r. Let s = 2 - -9. Calculate the smallest common multiple of (-1)/(-1)*(r + 8) and s. 77 Let t = 175 - 174. Let i(b) be the second derivative of b**4/6 + b**3/2 - 3*b**2/2 + b. What is the least common multiple of i(-3) and t? 6 Let u = 11 - 9. Suppose u*n - 65 = 7*n. Let x = 29 + n. What is the smallest common multiple of 6 and x? 48 Suppose 0*j + 3*l = -4*j + 164, 5*l + 240 = 5*j. What is the smallest common multiple of 32 and j? 352 Let a(q) = 3*q + 1. Let y be a(1). Suppose 0*x + y*x - 20 = 0. What is the smallest common multiple of x and 11? 55 Let t(j) = -2*j + 38. Let n(q) be the third derivative of -q**4/6 - 2*q**3/3 - q**2. Calculate the lowest common multiple of n(-6) and t(17). 20 Let h = 32711/6 - 5475. What is the common denominator of h and 5/2? 6 Let x(g) = g**3 - 6*g**2 + g - 4. Let p be x(6). Let w be (-5)/(-20) - (-2)/(-8). Let f = p - w. Calculate the smallest common multiple of f and 2. 2 Let g = -9 - -2. Let m = g + 11. What is the lowest common multiple of (1 + (-2 - -2))/1 and m? 4 Let x(z) = 4 - 3 + 9*z**3 + 12*z**3. Let j be x(-1). What is the common denominator of 85/22 and (-1)/(-1) - (-63)/j? 220 Let k(y) = y**2 - 4*y + 4. What is the lowest common multiple of 10 and k(3)? 10 Let u = 378380811771/2270 - 166687586. Let p = u + 5/227. Find the common denominator of -85/2 and p. 10 Suppose -28 = 11*a - 15*a. What is the least common multiple of 7 and a? 7 Suppose 0*u = -4*u + 96. What is the smallest common multiple of 18 and u? 72 Let l = 2 - -1. Calculate the least common multiple of (-3 - -7)*l/2 and 12. 12 Let n = -101/2 + 55. What is the common denominator of -109/12 and n? 12 Let k = -31 - -39. What is the least common multiple of 18 and k? 72 Let a be (547 + -2)*(-13)/11. Let t = 642 + a. Calculate the common denominator of t and -83/4. 44 What is the common denominator of -1*1 + (-122)/(-20) and -79/22? 110 Let r = -5 + 5. Suppose -v + 3 = -r. Suppose 0 = 3*d + v*b - 51, 2*d - 53 = -2*d + b. Calculate the least common multiple of d and 10. 70 Suppose 2*d + 5*g + 1 - 16 = 0, d - g = 25. Let f = d - -4. Calculate the least common multiple of 6 and f*(6/4 - 1). 12 Let x(n) = -1092*n - 2. Let u be x(-5). Let f = 43605/8 - u. Find the common denominator of 91/18 and f. 72 Let c be ((-21)/6)/((-3)/(-6)). Let r(f) = -f. Calculate the lowest common multiple of r(c) and 6. 42 Let v = 20679/11 - 1876. Calculate the common denominator of v and 10/68*(2 - 18). 187 Let b = 1/966 - -28891/85974. Let v = b + 7089/356. Calculate the common denominator of (-26)/(-6) - -2*1 and v. 12 Let j(i) = -i**3 + 10*i**2 - 8*i + 5. Calculate the lowest common multiple of j(9) and 8. 56 Suppose 3*w - 76 = 5*m, 3*m - 4*m + 68 = 2*w. Calculate the least common multiple of w and 5. 160 Let z = -8788/825 + -4/275. What is the common denominator of 3/6*6 + 72/(-64) and z? 24 Suppose -2 = -5*b + 3*r + 1, -5*r = 4*b - 32. Let x = -7 + 11. Let y = x - 0. What is the lowest common multiple of y and b? 12 Let o = -122/3 + 365/12. Calculate the common denominator of o and -38/5. 20 Calculate the common denominator of (-8)/33*(-9)/(-12) and 47/2. 22 Let z = 7 - 3. Let c(d) = d**2 - 4*d - 2. Let a(m) = -4*m**2 + 17*m + 7. Let x(v) = 2*a(v) + 9*c(v). What is the lowest common multiple of 9 and x(z)? 36 Let f(u) = 15*u**2 + 1. Let a be 3 + -1 - (0 - 0). Suppose -a*c - 1 = 1.
{ "pile_set_name": "DM Mathematics" }
-36))/((-1292)/255)*(-11)/(-55)? -1/114 What is the value of (17/136)/((-3)/(-8)*308/(-39732))? -43 What is the value of (24/(-4))/18*90/6? -5 Evaluate (-24)/(-10)*15600/(-720). -52 What is ((356/(-445))/(3/(-3)*2))/(7/10)? 4/7 What is the value of (-378)/(-57)*(-76)/(-12)? 42 Evaluate ((-32)/(-9))/8*4/((-104)/(-819)). 14 Evaluate (18340/6419)/((-10)/35). -10 What is the value of 1*6*185/(31080/(-2128))? -76 (-10)/(-40)*4960/3534*(-6)/(-10) 4/19 What is -3*(-6)/8*(-16)/(720/(-15))*-8? -6 What is the value of (((-1)/(-426)*-6)/(6/8))/((-2)/3)? 2/71 Evaluate 56/(-1472)*-8*((-864)/28)/18. -12/23 Evaluate (-81)/((-34992)/96)*-162. -36 Evaluate (-3)/20*(-15)/3*(-23)/((-1035)/(-324)). -27/5 What is the value of (276/48)/(-23)*-92? 23 What is (185/(95830/1184))/(6/63)? 24 Evaluate (20/45)/((-8)/60)*1134*(-136)/9520. 54 Calculate (40/84)/(82/(-1722)). -10 Evaluate 6/(-2)*34/48960*-32. 1/15 Calculate ((-69)/414)/((-1)/(30/7)*(-52)/273). -15/4 Evaluate (-133)/3*(-16)/4*(-1632)/(-15232). 19 What is the value of (-1)/((-105)/(-345)*(-34)/(-238))? -23 What is (70/(-8))/(18225/2430)? -7/6 ((-3)/38)/(5250/(-7125)) 3/28 What is the value of (((-180)/210)/((-2)/5))/(152/266)? 15/4 What is (-18)/((8/(-78))/(504/3276))? 27 (((-12)/10)/(18/(-20)))/((-7)/14*52) -2/39 What is (693/(-9))/((-1484)/(-848))? -44 (-3632)/(-4086)*(-81)/4 -18 What is (338/(-78))/(17/102)? -26 What is the value of 15/(-5175)*115*23*3? -23 19355/(-23226)*(-36)/10 3 Calculate 1341/894*438/(-27)*9*(-10)/(-15). -146 What is (9/(-42))/((-158301)/(-5412))? -2/273 What is 400/20*(-6)/108*3? -10/3 Calculate (-8)/(-168)*1862/(-1596). -1/18 Calculate 2*((-34)/10)/(58/(-290)). 34 What is the value of 3/(12/16)*3/828*-3? -1/23 Evaluate ((-16206)/(-8176))/37*(-12)/45. -1/70 174/464*((-60)/(-126))/(-5) -1/28 Evaluate (-7714)/114*(-603)/1407. 29 Calculate (-70)/49*154/(-22)*2/1. 20 1092/585*75*5/10 70 ((-3)/(-48))/((-38)/456)*136/255 -2/5 (-17)/((-51)/(-10))*(-402)/670 2 55*-23*35/(-79695) 5/9 Calculate (24/96)/((474/(-42))/(((-48)/(-28))/1)). -3/79 What is -3*(-1)/(19/19)*6/(-684)*2? -1/19 -10*3/(-12)*(-530704)/32360 -41 -375*404/181800*12/1585 -2/317 Evaluate ((-1634)/6536)/((-3)/(-152)*2/3). -19 -5*51*456/(-6460) 18 Evaluate 8/(185/(210715/(-268))). -34 Calculate ((-12)/3)/(22/(-3168)*16). 36 What is the value of ((-81)/45)/(((-546)/105)/(-26))? -9 What is the value of (1569/25104)/((-6)/56)? -7/12 -1*7*(45600/(-12768))/(1/1) 25 (2268/120)/(117/(-26)) -21/5 ((-2088)/(-26796))/(12/56) 4/11 Calculate (-192)/(-112)*(-2)/(-24)*392. 56 What is the value of 5*((44/175)/(-11))/(-2)? 2/35 ((-8)/(128/(-8)))/((-10)/40*14)*1 -1/7 Calculate (((-711)/(-18))/(309/412))/(4/(-6)). -79 What is the value of (1/((20/50)/(-2)))/((-6)/((-30)/5))? -5 Evaluate (-105*(24/108)/1)/((-6)/(-36)*-4). 35 What is the value of (-45)/2*699/(-12582)? 5/4 What is (-1693)/(-66027)*7/((-399)/18)? -2/247 (7*3/(-6))/(81*(-371)/(-266166)) -31 Calculate -5*45/6*8632/4150. -78 (11/2024)/((-8)/((-576)/9)) 1/23 What is (-1)/(-10)*-52*3055/8554? -13/7 Evaluate 11/((-11)/24)*(-64)/40*25/(-20). -48 Evaluate (-2668)/3335*5/4. -1 Calculate ((-72)/28)/((-123552)/8736). 2/11 Calculate (-1)/5*-27*1960/336. 63/2 Evaluate (-670)/(-20)*(-2)/8*(-928)/(-116). -67 Calculate (-2*2/(320/(-24)))/(6/(-10))*-2. 1 Evaluate -1*7*(-156)/(-22386)*-41*(-129)/6. -43 What is (25938/131)/66*-19*1? -57 Evaluate ((-8070)/(-1523885))/(12/44). 2/103 Calculate (-15264)/1908*(-3)/(-232)*2. -6/29 What is the value of (-3*(-210)/(-180))/((-35)/(-25))? -5/2 Evaluate (292/(-438))/((36/513)/((-6)/1)). 57 (235/(-423))/(2/7*7/18) -5 What is the value of 90/54*(-17)/(2312/(-24))? 5/17 Evaluate ((-4020)/(-24))/67*156/65. 6 Calculate ((-21)/108)/((1/14)/((-2270)/(-7945))). -7/9 Calculate (-666)/(-4)*9694/(-218115). -37/5 What is 3/(24/70)*6/8*2936/7707? 5/2 What is (3/(-69))/((-125467)/(-77993))? -1/37 What is 4*5*(14314/(-6315))/((-2)/3*1)? 68 What is the value of ((-24)/196)/(1/(-42))*5145/490? 54 Calculate (-7)/2*-312*(2/(-7))/((-342)/171). 156 ((-6)/12)/(2*(((-969)/(-76))/17)/(-285)) 95 Calculate ((405/(-6))/(-9))/((-27140)/(-24426)). 27/4 (-666)/(-555)*3480/(-36) -116 What is the value of 45*-11*192/1760? -54 What is (73185/25830)/(34/4)? 1/3 (-330)/(-45)*(-99)/462 -11/7 What is the value of ((-110)/(-3300))/(7/5)? 1/42 What is the value of (-2)/(-1*3/6)*(-3672)/(-39168)? 3/8 Evaluate ((-60)/46)/(517/47564). -120 Calculate ((-104)/20)/(-8*(-1)/20)*(-6)/30. 13/5 What is the value of -180*(-280)/5292*(-28)/(-20)? 40/3 What is the value of (50/(-30))/((-490)/735)? 5/2 What is the value of (-201)/(-8)*2*((-1024)/12)/(-64)? 67 What is the value of 7/(21/2)*289887/104062? 13/7 What is (1590/3339)/((-10)/(-15))? 5/7 What is 334/(-1670)*30/(-22)? 3/11 Calculate (-140)/(24080/3354)*(40/45)/((-4)/(-30)). -130 What is 2/(((-1)/(-6))/((-581)/9296))? -3/4 What is the value of (308/(-924))/(3/(-495))? 55 What is ((-5)/3)/((-4)/(-6))*((-21312)/360)/(-74)? -2 Calculate (-11025)/(-3780)*(((-1)/(-56))/((-4)/(-24)))/1. 5/16 Calculate (2*(-2)/(-248))/(134/268)*-1. -1/31 (-2)/(-4)*(-271)/((-2439)/(-873)) -97/2 What is 44/((-6688)/(-874))*1/((-5)/(-20))? 23 Evaluate (-4*(-3)/14)/(700/109025*178). 3/4 Evaluate (5/22)/((29280/(-64))/183). -1/11 Evaluate (-15)/18*-68*(-87)/88740. -1/18 What is the value of -130*19/((-6650)/105)? 39 What is (-5)/(2/4*((-1246)/(-445))/7)? -25 What is (-54)/2*(-120)/1884960*-308? -9/17 Calculate (63/1512)/((-9)/(-4536)). 21 Evaluate (8360/2508*9/25)/((-2)/(-60)). 36 Calculate (-2)/4*(12/(-420))/((-9)/(-135)). 3/14 Evaluate 8/10*23485/(-854)*47/(-22). 47 Calculate 3032/52302*(252/8)/7. 6/23 What is (-24)/(-5)*667895/51708? 62 Calculate ((-16)/270)/2*70*145/4060. -2/27 Calculate ((-156354)/(-198))/(621/81). 103 Calculate ((-347)/(-2082))/(55/540*-2). -9/11 Evaluate ((-1)/3*388/4268)/(5/12). -4/55 What is the value of 7*(-120)/10528*(-1312)/820? 6/47 What is the value of -3*3/12*(3555/(-3510))/(-79)? -1/104 What is the value of (782/15)/(-17)*(-1980)/132? 46 Evaluate (-8)/(-100)*(2/36)/(50/250). 1/45 Calculate ((-1406)/(-7733))/((-6)/(-15)). 5/11 (-2720)/2176*(-7)/(15330/(-12)) -1/146 Calculate ((4/5)/4)/((528/8)/13530). 41 What is 4/80*1*-1*((-5724)/189)/(-53)? -1/35 Evaluate (20/(-26))/(12036/(-4602)). 5/17 Calculate (-69)/(2277/(-968))*(-4)/(-16)*(-18)/3. -44 What is the value of 49*((-612)/(-102))/(3/(12/56*-2))? -42 What is the value of ((-2)/(-12))/(7/(-14)*87/783)? -3 Calculate (9352/151970)/((-48)/(-26)). 1/30 What is the value of (-52080)/(-2232)*(-3)/(-7)? 10 75/15*(-57*10/(-1900))/((-1)/12) -18 11/32164*17*6/(-9)*(-60)/5 2/43 What is the value of (99/45936)/((-8)/(-256))? 2/29 Evaluate 3/60*((222/36)/37)/(2/(-1050)). -35/8 60/(-45)*(-5355)/340 21 What is the value of (4644/135)/((-340)/(-425))? 43 What is 2*((-102)/36)/((-10)/(-60))? -34 (2/(-10))/((-69)/299)*(-140)/56*6 -13 What is (4/((-20)/75))/((-8)/((-616)/(-33)))? 35 Evaluate ((-13206)/(-1136))/((240/16)/120). 93 What is the value of -1*((-1053)/(-52))/27*1840/(-30)? 46 Evaluate (-198)/(-1760)*-10*16/(-2628). 1/146 Evaluate (4/(-26))/(11*(-132)/575718). 61 Calculate (-56547)/1236*4/24*8. -61 What is the value of ((-4)/3*18)/(77/(28490/(-148)))? 60 What is ((-2)/3*12/(-42))/(-48*(-13)/351)? 3/28 What is the value of 4*((-29)/1392*-126)/((-6)/4)? -7 What is ((-10)/18)/((-260050)/(-561708))? -6/5 Evaluate ((-24)/9)/(7704/14445). -5 Calculate (-1)/((-30)/140*(-1295)/111). -2/5 What is ((-209)/(-132)*-4)/(((-29)/116)/((-6)/(-8)))? 19 Evaluate (860/23650)/((-1)/(-5)). 2/11 What is the value of 10/46*(-1352)/(-1040)*48/52? 6/23 What is the value of ((((-12)/21)/(-4))/((-270)/(-630)))/((-2)/(-90))? 15 Calculate (-1242)/117*36/(-432)*104. 92 (8/84*-7)/((-7)/3)*-1*7 -2 (-60)/(-8)*(-21)/(-315)*118 59 What is the value of 648/(-240)*(-30)/(-495)*11? -9/5 6/(27/(-14)*(-2896)/6516) 7 Calculate ((-11640)/(-90)*78/(-52))/(-2). 97 (-8)/10*(-277)/(3230097/1495) 4/39 What is the value of (84/105)/(5/50)*(-385)/(-11704)? 5/19 What is 5*(-22)/2310*40/(-20)? 2/21 What is the value of ((-584)/(-511))/((-31)/(-2170))? 80 114/(-10)*(-445)/801*9 57 What is 44/(-44)*(205/20)/((-5)/20)? 41 What is the value of (-324)/1107*(-287)/2*(-24)/14? -72 Calculate ((-287)/(-41))/(104/208). 14 9*(2387/385)/((252/(-35))/(-4)) 31 What is the value
{ "pile_set_name": "DM Mathematics" }
9 and -89/24? 95352 Calculate the common denominator of 23/192 and -91/528. 2112 Calculate the common denominator of 89/75300 and -1/250. 376500 What is the lowest common multiple of 4609 and 605? 253495 Calculate the lowest common multiple of 6 and 71172. 71172 Calculate the common denominator of -65/867384 and -81/8. 867384 Calculate the smallest common multiple of 4473 and 500976. 500976 Calculate the least common multiple of 8774 and 5778. 236898 What is the common denominator of -67/16851 and 88/10275? 421275 What is the lowest common multiple of 252 and 60? 1260 What is the smallest common multiple of 114352 and 84? 343056 What is the least common multiple of 69 and 69? 69 Calculate the common denominator of -79/84 and -76/43389. 1214892 Calculate the common denominator of -87/12742 and -35/12742. 12742 Find the common denominator of 103/985334 and -33/16. 7882672 Calculate the smallest common multiple of 5826 and 162. 157302 What is the smallest common multiple of 30501 and 9? 30501 What is the least common multiple of 530448 and 16? 530448 What is the least common multiple of 50 and 74085? 740850 What is the lowest common multiple of 95200 and 925? 3522400 What is the smallest common multiple of 2265 and 185? 83805 Find the common denominator of -71/217150 and 47/808. 868600 Calculate the smallest common multiple of 40 and 52360. 52360 Calculate the smallest common multiple of 43386 and 166313. 997878 Calculate the common denominator of -23/3780 and -71/801. 336420 What is the least common multiple of 892 and 8028? 8028 Calculate the common denominator of 89/97630 and 47/48815. 97630 What is the common denominator of -169/235770 and -53/78590? 235770 What is the common denominator of 89/5532 and 59/296? 409368 Calculate the least common multiple of 414 and 4416. 13248 Calculate the common denominator of -71/3608 and -121/410. 18040 What is the common denominator of 65/22 and -71/24512? 269632 Find the common denominator of -179/332640 and -20/231. 332640 What is the least common multiple of 1128 and 658? 7896 What is the common denominator of 109/87576 and -65/168? 613032 Find the common denominator of -18/275473 and -23/38357. 3030203 Calculate the least common multiple of 160913 and 703. 3057347 Calculate the lowest common multiple of 60 and 13896. 69480 What is the smallest common multiple of 217466 and 18? 1957194 Calculate the least common multiple of 62 and 3446. 106826 Calculate the least common multiple of 26 and 179. 4654 Find the common denominator of -107/16016 and -81/347984. 3827824 What is the least common multiple of 10 and 24964? 124820 What is the common denominator of 131/1680 and -19/350? 8400 What is the common denominator of 97/5846 and -11/790? 29230 What is the lowest common multiple of 43652 and 873040? 873040 What is the common denominator of -69/20 and 97/10556? 52780 Calculate the least common multiple of 5696 and 832. 74048 What is the common denominator of -157/90 and -20/64053? 640530 What is the common denominator of 131/6 and 111/376348? 1129044 What is the common denominator of -7/848 and 13/11554? 92432 Find the common denominator of -23/10692 and 47/5832. 64152 What is the smallest common multiple of 4814 and 116? 9628 What is the least common multiple of 169990 and 534? 509970 What is the least common multiple of 186731 and 2603? 3547889 Calculate the lowest common multiple of 78 and 80109. 2082834 What is the smallest common multiple of 423 and 3756? 529596 Find the common denominator of 37/8129 and 20/6651. 73161 What is the common denominator of -115/439938 and 11/439938? 439938 Find the common denominator of 87/80 and -68/259259. 20740720 Find the common denominator of 59/12 and -53/9216. 9216 What is the smallest common multiple of 731412 and 12929? 5119884 Find the common denominator of -89/45 and -51/402395. 3621555 Calculate the common denominator of 3/968 and -131/33880. 33880 Calculate the smallest common multiple of 13198 and 4. 26396 Find the common denominator of -92/92169 and 109/126. 184338 Calculate the lowest common multiple of 11 and 6041. 66451 What is the least common multiple of 5 and 210094? 1050470 Calculate the common denominator of 13/21 and -8/38031. 38031 What is the common denominator of 109/896 and 60/2443? 312704 Calculate the common denominator of 69/5032 and -101/45288. 45288 What is the common denominator of 169/13608 and 67/405? 68040 What is the common denominator of 67/5892 and 53/532? 783636 What is the common denominator of 1/164 and 91/18276? 749316 Find the common denominator of 50/11 and -13/13892. 152812 What is the smallest common multiple of 98 and 26019? 52038 Calculate the common denominator of 41/11368 and -13/55216. 386512 Calculate the common denominator of -27/371656 and 17/6. 1114968 What is the lowest common multiple of 640 and 9152? 91520 Calculate the smallest common multiple of 2576 and 23989. 383824 Calculate the lowest common multiple of 27 and 31095. 93285 Calculate the common denominator of 95/2256 and 50/51. 38352 Calculate the least common multiple of 57 and 24111. 24111 What is the lowest common multiple of 114 and 987? 37506 Calculate the common denominator of 52/101355 and -34/233. 101355 What is the common denominator of -58/19383 and 109/2982? 38766 Calculate the common denominator of 23/17571 and -7/193281. 193281 What is the lowest common multiple of 355420 and 140? 2487940 Calculate the common denominator of -17/5 and -57/842168. 4210840 Calculate the common denominator of -73/30948 and -173/60. 154740 Find the common denominator of 58/4473 and -70/213. 4473 What is the smallest common multiple of 29356 and 154119? 616476 What is the smallest common multiple of 1222174 and 292259? 13443914 Calculate the lowest common multiple of 19214 and 118. 1133626 What is the common denominator of 109/366650 and -39/73330? 366650 Find the common denominator of -45/4454 and 19/7922. 1037782 Calculate the least common multiple of 22708 and 29. 658532 What is the common denominator of -47/525924 and -46/441? 3681468 What is the lowest common multiple of 3017 and 862? 6034 What is the smallest common multiple of 24690 and 120? 98760 Calculate the common denominator of 66/39767 and -1/78. 238602 Calculate the lowest common multiple of 32133 and 11. 353463 What is the common denominator of 31/6822 and 51/26530? 238770 What is the smallest common multiple of 13635 and 189? 95445 What is the least common multiple of 5376 and 45? 80640 Calculate the least common multiple of 18084 and 506. 415932 Find the common denominator of -143/24 and 65/5682. 22728 Find the common denominator of -57/344162 and 55/1209. 1032486 Find the common denominator of -57/4606 and -25/169106. 1183742 Calculate the lowest common multiple of 455 and 19929. 99645 Find the common denominator of 75/1276 and -28/1363. 59972 Calculate the smallest common multiple of 8 and 1127102. 4508408 Calculate the common denominator of 53/90022 and 40/9. 810198 Find the common denominator of -11/8520 and 97/29110. 349320 What is the common denominator of 64/1851 and 113/36? 22212 What is the common denominator of 11/1993 and 38/9965? 9965 Find the common denominator of -19/28 and -97/108460. 759220 Calculate the lowest common multiple of 16 and 41554. 332432 Find the common denominator of 19/25629 and 71/8. 205032 What is the least common multiple of 205968 and 235392? 1647744 What is the common denominator of 95/1154 and 57/462754? 462754 What is the smallest common multiple of 234 and 364? 3276 Find the common denominator of 69/10 and 13/9658. 48290 Calculate the least common multiple of 810 and 248130. 744390 Calculate the smallest common multiple of 274 and 18538. 2539706 Calculate the least common multiple of 9816 and 240. 98160 What is the smallest common multiple of 97055 and 6580? 388220 Find the common denominator of 113/336 and 131/48. 336 Calculate the smallest common multiple of 36 and 1021020. 3063060 What is the lowest common multiple of 4 and 519340? 519340 What is the smallest common multiple of 53496 and 16346? 588456 Calculate the lowest common multiple of 7686 and 744. 953064 What is the common denominator of -3/1127 and -83/362894? 362894 Calculate the common denominator
{ "pile_set_name": "DM Mathematics" }
, 370, 319? -k**3 + k**2 + k + 414 What is the j'th term of -37, -76, -115, -154, -193, -232? -39*j + 2 What is the x'th term of -1537, -1538, -1551, -1582, -1637, -1722, -1843, -2006? -x**3 + 6*x - 1542 What is the i'th term of 17, 29, 41, 53, 65, 77? 12*i + 5 What is the y'th term of -26, -29, -32, -29, -14, 19, 76, 163? y**3 - 6*y**2 + 8*y - 29 What is the l'th term of -8, -37, -88, -161, -256? -11*l**2 + 4*l - 1 What is the c'th term of -284, -286, -286, -284? c**2 - 5*c - 280 What is the a'th term of 292, 569, 846? 277*a + 15 What is the c'th term of 355, 837, 1633, 2737, 4143, 5845? -c**3 + 163*c**2 + 193 What is the g'th term of -867, -872, -881, -894, -911, -932? -2*g**2 + g - 866 What is the i'th term of -1065, -1061, -1055, -1047, -1037, -1025? i**2 + i - 1067 What is the l'th term of 355, 709, 1063, 1417? 354*l + 1 What is the q'th term of -444, -895, -1344, -1791, -2236, -2679? q**2 - 454*q + 9 What is the y'th term of -222, -224, -226, -228, -230? -2*y - 220 What is the b'th term of 4, -3, -10, -17, -24, -31? -7*b + 11 What is the n'th term of 6, 19, 24, 15, -14, -69, -156, -281? -n**3 + 2*n**2 + 14*n - 9 What is the m'th term of -35, -50, -75, -116, -179, -270, -395, -560? -m**3 + m**2 - 11*m - 24 What is the i'th term of -3977, -3976, -3975, -3974? i - 3978 What is the b'th term of 65, 110, 133, 122, 65, -50? -2*b**3 + b**2 + 56*b + 10 What is the l'th term of -3046, -6093, -9142, -12193, -15246, -18301? -l**2 - 3044*l - 1 What is the k'th term of -54, -45, -30, -9, 18? 3*k**2 - 57 What is the c'th term of -238, -247, -268, -307, -370, -463? -c**3 - 2*c - 235 What is the t'th term of 13, -21, -59, -101, -147, -197? -2*t**2 - 28*t + 43 What is the m'th term of -5, -10, -17, -26? -m**2 - 2*m - 2 What is the i'th term of -10, -18, -28, -40? -i**2 - 5*i - 4 What is the l'th term of -29, -46, -61, -74, -85? l**2 - 20*l - 10 What is the t'th term of -2750, -2745, -2730, -2699, -2646, -2565, -2450? t**3 - t**2 + t - 2751 What is the h'th term of -51, -50, -41, -18, 25, 94? h**3 - 2*h**2 - 50 What is the t'th term of 15, 13, 11, 9, 7, 5? -2*t + 17 What is the w'th term of 88, 125, 152, 163, 152, 113? -w**3 + w**2 + 41*w + 47 What is the p'th term of 3484, 3480, 3474, 3466, 3456? -p**2 - p + 3486 What is the u'th term of -120, -243, -368, -495, -624, -755, -888? -u**2 - 120*u + 1 What is the j'th term of 8, -33, -74, -115, -156, -197? -41*j + 49 What is the j'th term of 346, 359, 372, 385? 13*j + 333 What is the t'th term of -399, -398, -397, -396, -395? t - 400 What is the l'th term of 14, 11, 6, -1? -l**2 + 15 What is the q'th term of 108, 97, 72, 27, -44, -147, -288, -473? -q**3 - q**2 - q + 111 What is the r'th term of -789, -3157, -7103, -12627, -19729, -28409? -789*r**2 - r + 1 What is the h'th term of -365, -396, -427, -458, -489? -31*h - 334 What is the v'th term of 897, 896, 895? -v + 898 What is the z'th term of 13174, 26350, 39526, 52702, 65878? 13176*z - 2 What is the w'th term of 14, 92, 296, 686, 1322, 2264, 3572, 5306? 10*w**3 + 3*w**2 - w + 2 What is the b'th term of 4860, 9725, 14592, 19461, 24332, 29205, 34080? b**2 + 4862*b - 3 What is the y'th term of -828, -1670, -2524, -3396, -4292? -y**3 - 835*y + 8 What is the a'th term of -1428, -1421, -1410, -1395, -1376, -1353, -1326? 2*a**2 + a - 1431 What is the t'th term of 60, 10, -74, -192, -344, -530, -750? -17*t**2 + t + 76 What is the k'th term of 49, 118, 139, 88, -59, -326, -737, -1316? -4*k**3 + 97*k - 44 What is the b'th term of -795, -797, -799, -801, -803? -2*b - 793 What is the p'th term of 12, 19, 20, 9, -20, -73, -156, -275? -p**3 + 3*p**2 + 5*p + 5 What is the a'th term of 677, 676, 687, 716, 769, 852, 971? a**3 - 8*a + 684 What is the n'th term of 29, 46, 57, 62, 61? -3*n**2 + 26*n + 6 What is the d'th term of -914, -923, -938, -959, -986, -1019, -1058? -3*d**2 - 911 What is the h'th term of 15, 19, 35, 69, 127, 215, 339, 505? h**3 - 3*h + 17 What is the y'th term of 19, 37, 89, 193, 367, 629, 997, 1489? 3*y**3 - y**2 + 17 What is the k'th term of -2377, -2374, -2371, -2368? 3*k - 2380 What is the q'th term of -792, -780, -750, -696, -612, -492, -330, -120? q**3 + 3*q**2 - 4*q - 792 What is the l'th term of 34, 59, 86, 115, 146? l**2 + 22*l + 11 What is the o'th term of 4256, 4258, 4270, 4298, 4348? o**3 - o**2 - 2*o + 4258 What is the t'th term of -42, -91, -156, -243, -358, -507, -696, -931? -t**3 - 2*t**2 - 36*t - 3 What is the b'th term of 37, 121, 271, 499, 817, 1237, 1771? 2*b**3 + 21*b**2 + 7*b + 7 What is the n'th term of -220, -858, -1922, -3412, -5328? -213*n**2 + n - 8 What is the n'th term of -5, 10, 25, 40, 55, 70? 15*n - 20 What is the s'th term of 22, 25, 30, 37, 46? s**2 + 21 What is the g'th term of -44, -73, -102? -29*g - 15 What is the f'th term of 2802, 5584, 8354, 11106, 13834, 16532, 19194, 21814? -f**3 + 2789*f + 14 What is the b'th term of 28, 117, 264, 469, 732, 1053, 1432? 29*b**2 + 2*b - 3 What is the g'th term of -124, -110, -82, -34, 40? g**3 + g**2 + 4*g - 130 What is the y'th term of -703, -699, -703, -721, -759, -823? -y**3 + 2*y**2 + 5*y - 709 What is the t'th term of 65, 110, 155, 200, 245, 290? 45*t + 20 What is the l'th term of 2129, 4259, 6389, 8519, 10649? 2130*l - 1 What is the w'th term of -1, -21, -51, -91, -141, -201? -5*w**2 - 5*w + 9 What is the u'th term of -65, -123, -179, -233? u**2 - 61*u - 5 What is the y'th term of 256, 1036, 2336, 4156, 6496, 9356, 12736? 260*y**2 - 4 What is the l'th term of 260, 526, 796, 1070? 2*l**2 + 260*l - 2 What is the r'th term of -12, -77, -260, -621, -1220, -2117, -3372? -10*r**3 + r**2 + 2*r - 5 What is the r'th term of 18, -25, -142, -369, -742, -1297, -2070, -3097? -6*r**3 - r**2 + 2*r + 23 What is the x'th term of -23, -96, -225, -416, -675, -1008? -x**3 - 22*x**2 What is the v'th term of -27, -57, -93, -135, -183, -237? -3*v**2 - 21*v - 3 What is the a'th term of -223, -434, -645, -856? -211*a - 12 What is the q'th term of 253, 511, 771, 1033, 1297, 1563, 1831? q**2 + 255*q - 3 What is the q'th term of -145, -283, -409, -517, -601? q**3 - 145*q - 1 What is the n'th term of 44, 78, 76, 20, -108, -326, -652? -3*n**3 + 55*n - 8 What is the v'th term of -78, -320, -724, -1290, -2018, -2908? -81*v**2 + v + 2 What is the p'th term of 30, 38, 68, 132, 242, 410, 648? 2*p**3 - p**2 - 3*p + 32 What is the w'th term of 1477, 1476, 1475, 1474, 1473? -w + 1478 What is the h'th term of -1241, -1239, -1237, -1235, -1233? 2*h - 1243 What is the r'th term of 114, 120, 140, 180, 246, 344, 480, 660? r**3 + r**2 - 4*r + 116 What is the u'th term of -676, -2725, -6142, -10927, -17080, -24601, -33490? -684*u**2 + 3*u + 5 What is the k'th term of 20, 43, 66, 89, 112, 135? 23*k - 3 What is the t'th term of 154, 163, 178, 199, 226, 259, 298? 3*t**2 + 151 What is the g'th term of -1330, -1334, -1340, -1348? -g**2 - g - 1328 What is the z'th term of 829, 1656, 2481, 3304? -z**2 + 830*z What is the q'th term of -107, -466, -1079, -1946, -3067, -4442, -6071? -127*q**2 + 22*q - 2 What is the v'th term of -10, -41, -94, -175, -290, -445, -646, -899? -v**3 - 5*v**2 - 9*v + 5 What is the j'th term of -428, -860, -1298, -1742? -3*j**2 - 423*j - 2 What is the z'th term of -1272, -2546, -3820? -1274*z + 2 What is the f'th term of 72, 147, 224, 303, 384? f**2 + 72*f - 1 What is the g'th term of 47, 154, 259, 362, 463, 562, 659? -g**2 + 110*g - 62 What is the m'th term of -74, -313, -712, -1271, -1990, -2869? -80*m**2 + m + 5 What is the a'th term of 11, 10, 9, 8? -a + 12 What is the v'th term of 2982, 2987, 2992, 2997, 3002, 3007? 5*v + 2977 What is the l'th term of 276, 270, 252, 216, 156, 66, -60, -228? -l**3 + l + 276 What is the g'th term of 181, 311, 517, 793, 1133, 1531, 1981, 2477? -g**3 + 44*g**2 + 5*g + 133 What is the m'th term of -112, -459, -1036, -1843, -2880, -4147? -115*m**2 - 2*m + 5 What is the h'th term of -26, -66, -128, -224, -366, -566, -836? -2*h**3 + h**2 - 29*h + 4 What is the y'th term of -3, -13, -15, -3, 29, 87, 177, 305? y**3 - 2*y**2 - 11*y + 9 What is the i'th term of 1474, 2947, 4420, 5893? 1473*i + 1 What is the u'th term of 180, 186, 192? 6*u + 174 What is the t'th term of 50, 65, 90, 125, 170? 5*t**2 + 45 What is the m'th term of -111, -113, -109, -93, -59, -1, 87? m**3 - 3*
{ "pile_set_name": "DM Mathematics" }
d, -3*h - 4 - 4 = 4*d. Put h, 5, o, -1 in increasing order. h, -1, o, 5 Let v(z) = z - 5. Let i be v(3). Let l be ((-6)/(-9)*-1)/((-4)/(-60)). Let x be (5/l)/(((-5)/8)/5). Put -1, x, i, 1 in decreasing order. x, 1, -1, i Suppose -48*h + 1209 = -17*h. Sort h, -1, 4 in decreasing order. h, 4, -1 Let k = -89951/34 - -2646. Let w = 73/102 - k. Sort -0.3, -40, w. -40, -0.3, w Let o(s) = 2*s + 9. Let c be o(-6). Suppose -4*a - 218 = 5*l - 206, 2*a = 4*l - 6. Put l, -4, -1, c in increasing order. -4, c, -1, l Let c = 1.535 - 1.535. Sort -4, c, 4, 1, 10. -4, c, 1, 4, 10 Let w be (-36)/108 - 7/(-3). Suppose 136 = -17*b - 85. Put w, -3, b in descending order. w, -3, b Let x be 20/2 + (-240)/(-12) + -30. Put 40, x, 2, 3, -1 in decreasing order. 40, 3, 2, x, -1 Let j = 156525.2 + -156526. Suppose 11 = -2*b - 5*r, -5*b = -0*r + 4*r + 2. Sort 0.1, b, j, -2/11. j, -2/11, 0.1, b Let d(q) = q**3 + 11*q**2 - 2*q - 19. Let t be d(-11). Suppose 3*c = 4*l + 25, -l - 5 = l - 3*c. Let w = 24 + l. Put w, -4, t in descending order. w, t, -4 Suppose -b - 10 = -2*w - 0, 2*b - 4 = -4*w. Suppose 5*t + 6 + w = 2*d, d = 4*t + 6. Put 3, t, -4 in descending order. 3, t, -4 Suppose 0 = -6*p - 10 + 46. Let n be ((-44)/(-8) - 4)/(p/16). Sort n, -1, 3, 1 in increasing order. -1, 1, 3, n Let r = 5 - -5.2. Let a = -7586.2 + 7577. Let m = r + a. Sort m, 6, -0.5 in decreasing order. 6, m, -0.5 Let m = -5287 - -5290. Put 3/4, m, 7, 2, 12 in ascending order. 3/4, 2, m, 7, 12 Let n be ((-3)/9)/(10/(-90)*1). Sort -7, n, -8, 0 in decreasing order. n, 0, -7, -8 Suppose i + 647 = 4*g, 5*i - 3*i - g = -1329. Let w = i - -665. Sort -17, -1, w in decreasing order. -1, w, -17 Suppose 0 = -5*a + t - 6, -3*a + 4*t + 10 + 0 = 0. Let k be (-17 - -18)*a/4*6. Let n = -2 + 5. Put -1, n, 0, k in increasing order. k, -1, 0, n Let m be ((-11 + 11)/8)/2. Put -5, m, 11, 7, 3 in increasing order. -5, m, 3, 7, 11 Suppose -3*y = -295*n + 296*n - 6, 2*n + 15 = 3*y. Put -1, 1, -14, 2, n in descending order. 2, 1, -1, n, -14 Suppose 12 = -4*h, 0 = -2*y - h - 865 + 860. Sort y, 2, -178 in descending order. 2, y, -178 Let x be (10 - 10/2) + 14 + -5. Sort x, -4, 1, -11. -11, -4, 1, x Let b = 14 + -39. Let k be (-2 - b/5)/(3/2). Sort -6, 5, k. -6, k, 5 Let l = 4 + -9. Let q be -8 + 16 - 5/1. Suppose 0 = -0*h - 3*h + b + 16, -28 = -q*h + 4*b. Put -7, l, h in decreasing order. h, l, -7 Let p be 1/(-4)*-3 - (-1)/4. Suppose 5*t = -4*c, 2*t + 5*c + 7 + 10 = 0. Let w be 4*-2*(-2)/t. Put 6, w, p in ascending order. p, w, 6 Suppose 0 = u - 4*w - 55, -4*u - 6*w = -11*w - 165. Suppose -30 = u*p - 20*p. Put -5, 1, p, 2 in descending order. 2, 1, p, -5 Let k = -2387 + 2386.74. Put k, -12.6, 1 in decreasing order. 1, k, -12.6 Let n = 840 - 1074. Let p = n + 234.1. Let g be 2 - 2 - 2/5. Put g, -3/8, -1.3, p in descending order. p, -3/8, g, -1.3 Let p(a) = -a**3 - 56*a**2 - 107*a + 59. Let m be p(-54). Sort 3, 11, -3, m, 4 in increasing order. -3, 3, 4, m, 11 Let b = 296 + -369. Let y = b - -72.8. Sort 6.3, y, -1/2 in ascending order. -1/2, y, 6.3 Let f be (-1)/(2/(0 + -2)). Suppose 4*k - 9 = k. Let r = k - 3. Put f, r, 29 in ascending order. r, f, 29 Let v be 3/((-60)/(-8)*(-2)/10). Suppose 0*m = 4*m. Suppose m*r - 10 = -5*r. Put -5, r, v in descending order. r, v, -5 Let k = -0.05876 + 0.05876. Sort 2, -1, -12, k in decreasing order. 2, k, -1, -12 Suppose 0 = -2*w - 23*x + 26*x - 2, -2*x = 4*w - 12. Suppose 111 - 101 = -w*n. Let s(p) = p**2 + 3*p - 5. Let o be s(-4). Put -2, n, -8, o in increasing order. -8, n, -2, o Let c(i) = 3*i**2 - 24*i - 132. Let g be c(-5). Let k = 70 - g. Sort 1/2, -0.1, k, -3/4 in decreasing order. k, 1/2, -0.1, -3/4 Let x be 0/5*(1 + -3)/(-2). Sort -58, -4, x, 2 in increasing order. -58, -4, x, 2 Let b = 218.5 - 168. Let g = -50 + b. Let p = -8.9 - -3.9. Put p, -4/7, g, -5/2 in increasing order. p, -5/2, -4/7, g Let j be (-1)/((-168)/17 - -10)*2. Put j, -1, 20 in descending order. 20, -1, j Let s = 3137 - 3244.04. Let c = s + 107. Put 1, 1/9, -1/8, c in increasing order. -1/8, c, 1/9, 1 Let m = 7 + 7. Suppose -4*k + 373 = 193. Let x be ((-2)/k)/((-3)/(-15)). Sort m, 0, 1, x in decreasing order. m, 1, 0, x Let y = 2.5553 + -4.6553. Let w = 2.4 - 2. Sort y, 2/9, 1, w in decreasing order. 1, w, 2/9, y Let d(l) = -3*l**3 - 9*l**2 + l + 8. Let x be d(-3). Let a = -12 + 12.8. Let q = a + -0.9. Put 2/19, q, x, -3 in increasing order. -3, q, 2/19, x Let h(v) = -7*v**3 + 4*v**2 - 42*v + 41. Let t be h(1). Put 2, 19, t, 29 in descending order. 29, 19, 2, t Suppose 160*p - 108 = 130 - 78. Sort 10, p, 3, -2 in increasing order. -2, p, 3, 10 Let s(f) = 3*f**2 - 6*f - 9. Let a be s(3). Sort 6, a, -45. -45, a, 6 Let n be -31 + (30 - -13) + -3*23. Let i = -14 + 13. Put i, 5, n, -5 in decreasing order. 5, i, -5, n Suppose -y + 25 = 2*c, -3*y = 5*c - 9*c + 25. Suppose -23 = 9*k - 5. Let v(q) = q**2 + q + 1. Let s be v(0). Put k, s, c in descending order. c, s, k Let m be (-20 + (-54)/(-3))*(2 + -3). Sort -2, m, -1, 175 in decreasing order. 175, m, -1, -2 Let q = 1640 + -1639. Sort q, 7, -41, 4 in decreasing order. 7, 4, q, -41 Let q(r) = r**2 - 10*r + 22. Let n be q(3). Let k be 6/12*n*0. Let y be (6 - 2 - 2)*2. Put k, -3, y in descending order. y, k, -3 Let h = 93 - 89. Let d be 1*((-99)/(-44) - 9/(-12)). Sort h, 72, d. d, h, 72 Let y = -0.03362 + 0.05362. Sort 0.01, y, 4. 0.01, y, 4 Let t(o) = -o**3 - 18*o**2 - 22*o + 14. Let w be t(-17). Let s(x) = -48*x + w*x - 4 - 47*x. Let n be s(-2). Sort 3, 5, n in decreasing order. 5, 3, n Let z = -41 + 36. Sort -1, z, -332. -332, z, -1 Let z be 0*(5/20)/((-8)/32). Suppose -n - n + 2 = 0. Put n, z, 66 in increasing order. z, n, 66 Suppose -14*x = -3*x. Let l(n) = -n**2 + 4*n. Let k be l(x). Put 2, k, 1, -5 in decreasing order. 2, 1, k, -5 Let h be (-5 - 27/(-6))/(-1). Let q = -19.6 + 20. Sort -2/9, q, h, 5 in ascending order. -2/9, q, h, 5 Suppose 14852 = -7*d + 15146. Sort -16, -4, 3, d, 4. -16, -4, 3, 4, d Let p be 1 + 4/(-30) - 4/(-30). Suppose -20*z - 528 = -9*z. Sort p, -5, 3, z. z, -5, p, 3 Let n(j) = j**3 - 41*j**2 + 209*j + 39. Let u be n(35). Suppose q + 15 = 4*q, u*q - 25 = c. Sort -3, 10, c in descending order. 10, -3, c Let t(a) = -15*a**2 + 155*a - 48. Let l be t(10). Sort 157, 4, -3, l. -3, l, 4, 157 Let j(m) = 2*m**2 - 18*m + 1. Let w be j(9). Let f be (-4 - -2)*1/w. Let o be -4*3/(-12)*-5. Sort 4, o, f in ascending order. o, f, 4 Suppose 126 = -2039*r + 2025*r. Put 4, -2, -4, r, 5 in decreasing order. 5, 4, -2, -4, r Let j(v) = v**3 - 9*v**2 + 6*v + 20. Let x be j(8). Suppose x*i - 3*g - 12 = 0, 4*i + 5*g - 12 = 2*g. Sort -1, 5, -3, i in decreasing order. 5, i, -1, -3 Let j be 5/(-25) + 11/5. Let d be 2/(4*(12/32)/3). Suppose 0 = 2*h + j, -d*h + 9 = -5*w - 3*h. Put 5, w, 8, -1 in decreasing order. 8, 5, -1, w Let w(n) = n**2 - 74*n + 406. Let f be w(6). Put 20, 16, f in ascending order. f, 16, 20 Let o(d) = -134*d. Let h be o(0). Sort 4, 3, -174, h. -174, h, 3, 4 Suppose -511*d = -101 - 491 - 430. Suppose -4 = 4*q + 8. Sort d, 4, q, 10 in ascending order. q, d, 4, 10 Let f = -73 + 1459/20. Let m = -21.43 + 21.93. Sort f, m, -0.3. -0.3, f, m Let i = 65438 + -65452. Suppose 0*l - 5*a - 40 = -5*l, 12 = -3*a. Put 1, i, l in ascending order. i, 1, l Let l = -7389.2 + 7389. Put -5, 1, 1/14, -9, l in decreasing order. 1, 1/14, l, -5, -9 Let l = -40 + 278/7. Let p = 10121 + -19403/2. Let b = p - 421. Put l, 0.4, b, -2/5 in descending order. 0.4, l, -2/5, b Suppose -747*u - 7904 = -755*u. Let b = -877 + u. Sort 2, b, 4 in decreasing order. b, 4, 2 Let k be (-1 - 6/2)/(-2). Suppose 37216*n - 50 = 37241*n. Sort n, 1, -4, k in decreasing order. k, 1, n, -4 Let i = -0.05 + 5.45. Let k = 6.02 - i. Let f = 5.62 - k. Put f, -3/4, 1, -5 in descending order. f, 1, -3/4, -5 Let h(r) = 3*r**3 + 10*r**2 - 10*r + 3. Let l be h(-5). Let b be (24/l)/(1 - 39/36). Put 2, 3, b, -2 in decreasing order. b, 3, 2, -2 Let g be (14/(-6))/(12789/5481). Suppose 2*c - 4 - 2 = 0. Let f be (-2)/6 - 4/(-48). Sort -2, c, f, g in descending order. c, f, g, -2 Let h be (-84)/(-60) + 23/5. Let x(t) = 9*t**3 - 53*t**2 - 5*t - 9. Let p be x(h). Sort p, 4, -5 in increasing order. -5, p, 4 Let q = 80 - 74. Suppose 0 = -4*p - 18 + q, 3*p + 12 = c. Put 5, -1, c in decreasing order. 5, c, -1 Let m = -415
{ "pile_set_name": "DM Mathematics" }
i + u*j**3 + f*j**2 and give h. -2 Express (2 + 1 + 2)*(-133*d**2 + 2*d - 752*d**2 - 15 - 5*d + 15) as f + j*d + w*d**2 and give w. -4425 Express -130 - 25*p + 27*p - 247 + 4*p - 6*p + 4*p + 0*p - 2*p + 3*p + (3 - 6 + 2)*(-1 + 1 - p) in the form w*p + g and give w. 6 Express (-240*u - 4*u + 61*u - 103*u - 63*u)*(-46*u - 72*u + 35*u)*(2*u - u - 3*u) in the form b*u + d + w*u**2 + l*u**3 and give l. -57934 Rearrange -123*f - 36*f**3 + 288*f - 164*f + 7*f**2 - 2 + 2*f**4 to the form v*f**3 + l + p*f + z*f**4 + b*f**2 and give l. -2 Express (-7 - 7 - 9)*(436*d - 1316*d - 455*d) as z*d + x and give z. 30705 Rearrange (11*p - p - p)*(p + 2 - 2) - 25961*p - 346*p**2 + 25961*p to the form k*p + u*p**2 + f and give u. -337 Express (3*i - 7*i + 3*i)*((4*i - i + 0*i)*(2 + 0 - 4) - 5 + 2*i + 5 - 3*i + 1 - 1 + 65*i - 53*i + 56*i) as z*i**2 + y*i + k and give z. -61 Rearrange (-1105*l - 1183*l + 186*l)*(3 + 7 + 0) to the form d + u*l and give u. -21020 Rearrange 30 + 1364*x - 3*x**2 - 1348*x + 9*x**2 to t + y*x**2 + d*x and give d. 16 Rearrange (86*x + 2 + 118*x + 320*x)*((2*x - 2*x - x)*(-1 - 1 - 1) + x + 5*x - 4*x) to c + o*x + f*x**2 and give f. 2620 Express -382 - 365 + 17 + 177 + 2*o - 306 in the form q*o + i and give i. -859 Rearrange -1 + 386*n**2 - 18*n**4 - 89*n**2 - n**3 - 98*n**2 - 2*n - 103*n**2 - 94*n**2 to l*n**2 + g + t*n + p*n**4 + u*n**3 and give l. 2 Express -653*y**3 - 24*y**2 + 7*y**2 + 17*y**2 + 132*y + 646*y**3 - 4 as v*y**3 + c*y**2 + o + z*y and give v. -7 Rearrange 3*b**2 + 30250*b - 30291*b + 8*b**2 - 5*b**2 + 10*b**2 to t*b**2 + l*b + u and give l. -41 Express (-2 + 2 + 1)*(2*v - v - 3*v) + ((4 - 4 - 2)*(7 - 4 - 4) + 3 - 7 + 8)*(-22*v - 49 + 49) as t*v + c and give t. -134 Rearrange (-18 - 15 + 4)*(-681 + 3739*b**2 + 1444 - 764) to the form s*b + k + r*b**2 and give k. 29 Rearrange (-342 - 374 - 1116)*(0*s + 0*s - 2*s)*(-2 - s + 2 + (2*s + 0*s + 0*s)*(4 - 4 + 1) + 4 - 5 + 12*s - 16*s) to the form p*s + i + r*s**2 and give i. 0 Rearrange (-1101 + 1121 + 781 + 657 + 5*m + 1088)*(m**2 + 3*m**2 - 5*m**2) to the form h*m**2 + r*m**3 + p*m + g and give r. -5 Rearrange (-5 + j**2 + 5)*(-1 + 1 + 1) + (-j + 3*j - 3*j)*(j - 2*j + 0*j) + (-10*j - 4*j - 15*j)*(-2*j - 3 + 3) to the form q + b*j + a*j**2 and give q. 0 Rearrange -742*q**2 - 277*q**2 - 297*q**2 + 2029*q**2 - 3*q**3 to the form n*q + a*q**3 + f + i*q**2 and give a. -3 Rearrange 133*f + 10662*f + 1226*f - 2391*f + 4932*f to the form m + j*f and give j. 14562 Rearrange (13*b - 4*b - 53*b - 65*b)*(-2 + 1 - 3)*(42 + 14*b**3 - 42) to x*b + c*b**3 + l*b**4 + j + g*b**2 and give l. 6104 Rearrange 4*m**2 - 14*m**3 - 16201 - 10*m + 16201 to b*m**3 + z*m + h*m**2 + i and give b. -14 Express -280 - 58*m + 280 + (-1 - 3 + 2)*(0*m + 3*m - 2*m) + (11 - 7*m - 11)*(1 - 1 - 1) in the form s*m + l and give s. -53 Express 8199*m**4 + 76*m**2 - 3 - 2*m**3 + 34*m**2 - 8200*m**4 as t*m + i + n*m**4 + d*m**2 + b*m**3 and give n. -1 Express 2342*k - 139772 + 139772 in the form d + t*k and give t. 2342 Rearrange -1 - 86*n**4 + 0 + 71*n**4 + (-4*n**2 + 0*n**2 + 6*n**2)*(-3551 - 2*n + 3551 - 21*n**2) to the form q + s*n**2 + v*n**4 + m*n**3 + j*n and give q. -1 Express (2 - 60*t - 7*t + 122*t)*(33 - 60 - 85) as c + r*t and give r. -6160 Rearrange 15*c**4 - 2 + 4*c**2 - 11309*c**3 + 11324*c**3 - c - 4*c**2 + 7*c**4 to t*c**3 + f*c**4 + l + j*c + h*c**2 and give t. 15 Rearrange (21 - 10*t - 21)*(11*t**2 - 91*t**2 + 174*t**2) + 0*t**3 - 3*t**3 + t**3 to z*t**2 + l + v*t + w*t**3 and give w. -942 Rearrange -b**2 + 242*b**3 + 6323 - 301*b**3 - 6327 to the form u + y*b**3 + o*b + j*b**2 and give o. 0 Express 7*f - 32252 + 32875 - 5*f as z + p*f and give p. 2 Rearrange (-602*k + 602*k - 36*k**2)*(1 + 1 + 2) - 3*k**2 + 28*k + 13*k - 27*k to the form n*k**2 + u + i*k and give i. 14 Express (37*d - 4258 + 8498 - 4255)*(-13*d + 16*d - 8*d) as u*d + o*d**2 + s and give u. 75 Rearrange 16*d + 2349*d**2 - 1108*d**2 + 2 - 1129*d**2 to t*d**2 + i*d + s and give s. 2 Express (2*k - k - 6*k)*(-35 - 125 - 561) - 2*k + 2*k - k in the form w + f*k and give f. 3604 Express x**3 + 201*x - 223*x + x**4 + 3*x**2 + 1 + 23*x as g*x + y*x**4 + t*x**3 + i + b*x**2 and give i. 1 Rearrange -1 - c + 1 + (-2*c + 0 + 0)*(0 + 3 - 1) - c + 4 - 4 + (-34 + 93 - 61 - 2*c)*(-3 - 2 + 7) + 0*c - c + 2*c to k + p*c and give k. -4 Rearrange (2*v**3 - 3*v**3 + 2*v**3)*(-2218 + 2081 - 1070) - 5*v**3 + 2*v**3 + 0*v**3 to the form g + z*v**2 + p*v + u*v**3 and give u. -1210 Express (-3 + 2 + 0)*(-3 + 3 - t) + 1102*t + 1657328 - 1657328 as r + f*t and give f. 1103 Express 13*k**2 - 36*k**2 + 18*k**2 + (-k + k - k)*(-4 + 4 + 2*k) as v*k**2 + n*k + o and give v. -7 Rearrange (-17*u**3 + 114*u**2 - 114*u**2)*(-68*u + 2*u - 90*u) to l*u**2 + f*u**3 + v + q*u + r*u**4 and give r. 2652 Express ((-h + 5 - 5)*(-4 + 6 - 3) - 2*h + 5*h - h)*(-5 + 3860*h + 3757*h + 2878*h + 5) in the form r + u*h**2 + f*h and give u. 31485 Rearrange -73 + 96 - 3*h - 58 - 7*h + 3*h to the form g*h + b and give g. -7 Express (g - 1 + 0 + g)*(1 - 1 + 4 + (-3 + 5 - 3)*(1 - 2 + 3) - 6 - 4 + 13 + 90 - 52 + 58) in the form j*g + b and give b. -101 Express -71335*k + 458 + 23785*k + 23793*k + 23784*k + (2*k + 0*k + 0*k)*(5 - 2 - 2) in the form t + j*k and give j. 29 Express -2*c - c**4 - c - 4 - c + 2 - 16*c**3 - 31*c**3 in the form x + w*c**4 + d*c**2 + u*c**3 + f*c and give w. -1 Rearrange -33 + 31 + 408*b**2 + 6 - 18*b + 19*b to the form p*b + k*b**2 + r and give r. 4 Rearrange 207*u**4 + 149*u**4 - 2*u**2 - 459*u**4 - 2*u - u**3 - 2*u**3 to a*u**4 + t + w*u**2 + j*u + m*u**3 and give t. 0 Express 1062171*m - 2145629*m + 1055156*m as j + z*m and give z. -28302 Express 3161 - 16446*l - 6332 + 3171 as x*l + d and give d. 0 Express 2*b**2 - 1 + 32*b**2 + 161*b**3 - 270*b**3 as i*b**2 + s*b + d + y*b**3 and give d. -1 Rearrange (0*y**2 - 2*y**2 + 0*y**2)*(-y + 0*y - 4*y) + (-2*y**3 + 4*y**3 - 3*y**3)*(161 - 328 - 813) to the form v + p*y + o*y**2 + i*y**3 and give i. 990 Express (0*w + w + 0*w + (18 - 18 - 5*w)*(-2 + 2 + 2) + 0*w + w - 3*w)*(-10*w - 26*w + 0*w) as u*w + i + c*w**2 and give c. 396 Rearrange 7066*v**2 + 11688*v**2 - 1440*v**2 to the form f + l*v + u*v**2 and give u. 17314 Express -733 + 56*c + 733 - 3 + 3 + 3*c + (1 - 6 + 4)*(2*c + 0*c - 3*c) - 3*c + 2*c - c as p + w*c and give w. 58 Express 244 - 251 + 613*n + 334*n + 273*n in the form z*n + w and give w. -7 Express 5*c**2 - 47*c**3 - c**3 + 2*c - 6*c**2 + 47*c**3 - 39 in the form t*c + m*c**3 + l + a*c**2 and give t. 2 Rearrange (h**2 - 20510 + 10136 + 9973)*(6*h**2 + 5*h - 5*h) to g*h**4 + r*h + q + k*h**3 + l*h**2 and give g. 6 Express 12830 - 4273 - 4276 + 388*s - 4277 - 2633*s as n*s + b and give n. -2245 Express (8 + 5 - 13 + 321*d)*(122 + 84 + 51) in the form f + j*d and give j. 82497 Express (-5 + 3 + 1)*(-1044584 + 1044584 + 15555*n) + 0*n + n + n as x*n + l and give x. -15553 Rearrange -v**2 - 15*v**2 + 4*v**2 + 11*v**2 + 36 + 4*v**2 to i*v**2 + p + k*v and give p. 36 Rearrange -9042*v**2 - 7569*v**2 + 5490*v**2 to l*v + j*v**2 + d and give j. -11121 Rearrange 2 + 5 - 5*g**2 + 19936*g**3 - 19929*g**3 to the form v*g + a*g**3 + p + t*g**2 and give a. 7 Express 60 - 84*a**3 + 190*a + 2*a**4 - 63 - a**2 - 193*a as k*a**2 + n + m*a**3 + q*a + r*a**4 and give q. -3 Express 83*o**4 - 1 - 65*o**4 - o - 9*o**2 + 11*o**4 + 14*o**2 as z*o + d*o**2 + x + f*o**3 + j*o**4 and give x. -1 Express 53*y**2 + 1284*y - 14*y**2 - 1 - 296*y**2 - 1284*y + 5*y**3 as w + p*y**2 + v*y**3 + m*y and give w. -1 Rearrange 2158 - 6*z**2 - 4620 + 2*z**3 + 7*z**2 to h*z**3 + s*z**2 + b + a*z and give h. 2 Rearrange (1 - 1 - p)*(-3 - 2 + 2)*(412*p**2 - 415*p**2 + 225*p**2) to l*p**3 + x*p**2 + t + o*p and give l. 666 Express (-1 + 3 - 3)*(429873 - 429873 + 3448*c)*(c - 6*c + 2*c) in the form f*c + t*c**2 + x and give t. 10344 Express (-1 + 2*o + 1)*(-o**2 + 2*o**2 + 0*o**2) + (-1279*o**3 + 567*o**3 + 78*o**3)*(2 + 4 + 2) in the form t*o**3 + x + v*o**2 + a*o and give t. -5070 Express (-4*r - 3*r + 5*r)*((-4 + 5 + 0)*(0 - 1 + 7) + 1 - 5 + 2 - 17 + 15 + 24) in the form n + d*r and give d. -52 Express 2246*i + 11*i**2 + 4*i**2 + 2358*i - 4684*i + 2 in the form h + n*i + o*i**2 and give o. 15 Rearrange 2*h + 1 - 4*h - 3*h + (-2*h + 6*h + 3*h)*(37
{ "pile_set_name": "DM Mathematics" }
ctors of p. 211 Suppose 788 = 2*m - 4*q, 2*q = 5*m + 993 - 2947. What are the prime factors of m? 2, 3, 5, 13 Let y(j) = 66*j**2 - j - 62. List the prime factors of y(-5). 3, 59 Suppose 3*r + 12 = 0, s + r = -0*r + 27. List the prime factors of s. 31 Let n(x) = 2*x**3 - x**2 - 4*x + 2. Let z be n(2). Suppose 2*r + 0*r - 4 = -2*q, 3*r - z = -2*q. List the prime factors of r. 2 Let o be 25/(-3)*(-9)/5. Suppose -o = t - 4*t. Suppose 0 = 3*r - t*n - 212, -4*r = -5*n - 277 + 1. List the prime factors of r. 2 Suppose -x - 14 = -42. Suppose -3*q + q + x = -4*z, -3*q + z = -47. Suppose 2*p - q = 8. List the prime factors of p. 2, 3 Suppose -4*l - 3*k = 158, 5 - 109 = 3*l - 5*k. List the prime factors of (-40)/(-4)*l/(-5). 2, 19 Suppose -6 = -4*i - 10. Let a = i - -35. Let m = a - 12. What are the prime factors of m? 2, 11 Suppose 3*r - j = 563, 0 = -2*r - 5*j + 145 + 219. List the prime factors of r. 11, 17 Suppose 0 = 5*h + 500 - 3100. What are the prime factors of h? 2, 5, 13 Suppose -5*g + 1 + 4 = 0. Let l be (g - 0)/(11/649). Let b = l - -2. List the prime factors of b. 61 Suppose 12 = 5*o - 8. Suppose h - 5*u = 43, h - o*u - 4 - 36 = 0. Suppose 0 = -3*r - j + 40, 0 = -2*r - r + 2*j + h. List the prime factors of r. 2, 3 Let p = -544 + 1557. What are the prime factors of p? 1013 Let g(c) = -c**3 + 29*c**2 - 35*c + 43. List the prime factors of g(25). 2, 3, 139 Let a(n) = n**2 + 9*n. Let u be a(-9). Suppose i + 3*i - 20 = 4*m, u = -4*i - 5*m + 20. Suppose -109 = -i*c + 86. What are the prime factors of c? 3, 13 Let v(i) = -14*i - 1. Let o(z) = -71*z - 6. Let k(s) = 2*o(s) - 11*v(s). Let r be k(-1). List the prime factors of (-1080)/(-78) - 2/r. 2, 7 Let a(g) = g**3 + 13*g**2 - 25*g + 4. Let y be a(-11). Suppose -5*v - 121 = -y. List the prime factors of v. 2, 5 Let n = -453 + 1034. Suppose -4*b + 2*b - 4*j = -218, -5*b = -2*j - n. List the prime factors of b. 5, 23 Let l be (-14)/1 - (-3 + 0). Let a = l - -22. List the prime factors of a. 11 Let d = -85 - -857. What are the prime factors of d? 2, 193 Suppose 34 = u - 2*d, -3 - 1 = d. List the prime factors of (-156)/6*(u/(-4) - 0). 13 Suppose q = 5 - 4. Let k be 2 + 3 - (q + 1). Suppose -20 = -7*m + k*m. What are the prime factors of m? 5 Suppose 0 = -3*g - 2*t + 3, 0*t - 18 = -2*g + 4*t. What are the prime factors of -3 - (1 + g*-29)? 83 Suppose 55 + 269 = 4*o. Suppose 2*z - q = 51 + 60, -3*q - 278 = -5*z. Let f = o - z. List the prime factors of f. 2, 13 Let j(t) = 3*t**2 + 27*t - 27. Let f be j(-14). Let m = f - 115. What are the prime factors of m? 2, 17 Suppose -m + 3990 = -2*k, 35*m + 8015 = 37*m + 3*k. What are the prime factors of m? 2, 5 Let f(o) = 10 + o**2 + 11 - 15 + o**2 - o**3 + 8*o. Let k be f(4). Suppose 2*b = -k, -2*b - 73 = -2*w - b. What are the prime factors of w? 5, 7 Let z(p) = 2*p**3 - p**2 + 3*p - 4. Let j be z(2). Let h(w) = w**3 - 13*w**2 - 11*w - 14. What are the prime factors of h(j)? 2, 7 Suppose -27 + 2 = -5*w. Suppose b + w = 8. Suppose -170 = -5*t - 5*i, -b*t - 2*i = -6*i - 109. List the prime factors of t. 5, 7 Let a(c) = -6*c. Let s be a(-3). Let g = 32 - s. Suppose 5*z = u - 48, -u - g = -2*z - 50. List the prime factors of u. 2, 7 Suppose -7436 - 34916 = -16*l. What are the prime factors of l? 2647 Let w(u) = u**3 - 8*u**2 + 8*u + 52. List the prime factors of w(13). 7, 11, 13 Let u = 68 + 127. List the prime factors of u. 3, 5, 13 Suppose 3*b = 36 - 6. Let l(v) = -v**3 + 9*v**2 + 11*v - 10. Let x be l(b). Suppose -5*o - 10 = 5, -5*h - 5*o = x. List the prime factors of h. 3 Suppose -3*r + 2*k + 0*k = -694, 3*k - 12 = 0. What are the prime factors of r/2 - 0/10? 3, 13 What are the prime factors of 1718/1*((-195)/(-30) - 6)? 859 List the prime factors of 6 + 694/(-6)*-21. 5, 487 Let g(s) = s**3 - 7*s**2 + 4. Let h be g(7). Suppose -5*n - 5*q = 0, h*n - q + 2*q = 0. Suppose 0 = -n*y + 5*y - 180. List the prime factors of y. 2, 3 Let k(m) = -45*m - 858. What are the prime factors of k(-53)? 3, 509 Suppose -3*f + 9 = 0, 4*f - 24 = l + 3*l. List the prime factors of 111 - (l + 18/3 + -3). 3, 37 List the prime factors of 10/(-45) - (51140/(-45))/2. 2, 71 Suppose 8 = -5*z + z, 5*q = 3*z + 6. Suppose -2*h = 5*x - 10*x - 333, 3*h - x - 480 = q. List the prime factors of h. 3, 53 Let d(g) = 5*g**2 - 9*g + 6. Let r be d(7). Suppose -2*j - 2*j = -r. What are the prime factors of j? 47 Suppose -u = 5*j - 0*j - 4215, -5*u - 25 = 0. What are the prime factors of j? 2, 211 Suppose 190 + 152 = 6*c. Suppose 0*o + o - c = 4*h, 2*h - 39 = -o. What are the prime factors of o? 3, 5 Let j be 3 - 1/(-2 + 3). Suppose -p - 72 - 5 = -z, 385 = 5*z - j*p. List the prime factors of z. 7, 11 Let r(v) = -120*v - 125. List the prime factors of r(-5). 5, 19 Suppose 7 = 4*k - 45. Let b = 19 - k. What are the prime factors of b? 2, 3 Let q be (-3 + -1)/((-5)/(-220)). Let b = -81 - q. What are the prime factors of b? 5, 19 Suppose -5*g + 1573 + 1617 = 0. What are the prime factors of g? 2, 11, 29 Let d = -4818 - -7189. What are the prime factors of d? 2371 Suppose -5*l = -4*u - 56729, 2*u + 2*l + 28332 = -2*l. List the prime factors of u/(-80) + (-2)/10. 3, 59 Suppose -5*j + 4*z + 3 = -283, -3*j + 3*z + 171 = 0. Let i = -120 + 84. Let h = j + i. What are the prime factors of h? 2, 11 Let s be ((-4)/(-8))/(1/(-238)). Let u = s - -66. Let t = u - -103. What are the prime factors of t? 2, 5 Suppose 5*l + 3*f = 408 + 2059, -4*f = -2*l + 966. List the prime factors of l. 491 Let n = -138 + 342. Let o = 317 - n. What are the prime factors of o? 113 Suppose -2*f = -j + 1128, 5*j = 3*f - 2270 + 7889. What are the prime factors of j? 2, 3, 11, 17 Suppose 0 = 5*l + 2*s - 68, -5*s + 45 = 3*l - 11. Let v be 2/l - 29/(-6). Suppose -u - 2*i + v + 2 = 0, -3*u + i = -42. What are the prime factors of u? 13 Let i(v) = -3*v**2 - 1. Let f be i(-1). List the prime factors of -7*(7 + f + -4). 7 Let g(k) = 3*k**3 - 6*k**2. Let h(p) = 9*p**3 - 17*p**2 - p - 1. Let x(v) = 8*g(v) - 3*h(v). Let s be x(3). Let y = 62 + s. List the prime factors of y. 2, 5 Suppose 3*s + 6 = -4*n, -n - 8 = -3*s + 1. Suppose -2*h = 2*h - 2*z, 12 = -2*h - s*z. Let c = h + 7. What are the prime factors of c? 5 Suppose -63*a + 61*a = -5*p - 2825, 5614 = 4*a + 2*p. List the prime factors of a. 5, 281 Let n = -96 + 2. Let p = -141 - n. Let h = 92 + p. List the prime factors of h. 3, 5 Let m(d) be the third derivative of -1/120*d**6 - 5/12*d**4 + 11/6*d**3 + 0 - 9*d**2 - 3/20*d**5 + 0*d. What are the prime factors of m(-8)? 3 Let c(j) be the third derivative of j**5/60 + j**4/6 + j**3/3 - j**2. Let m be c(-4). Suppose q + 5*x - m = 0, 4*q - 8 = 3*q - 2*x. List the prime factors of q. 2, 3 Let w(p) = -7*p + 1. Let x be w(1). Let j(u) = -3*u + 21. List the prime factors of j(x). 3, 13 Let f = 4209 + -2403. List the prime factors of f. 2, 3, 7, 43 Let c = -264 + 271. Let z(v) = 5*v**2 - v**3 + 2*v - 4*v + 3*v**2. What are the prime factors of z(c)? 5, 7 Let h = -394 - -579. Let r = h + -93. What are the prime factors of r? 2, 23 Let h be (-166*3/9)/((-16)/24). Let r = h + -20. List the prime factors of r. 3, 7 Let f(c) = 3*c - 10 - 4*c + 2*c. Let p be f(9). List the prime factors of p + 1 - -1 - -36. 37 Suppose 0 = -3*l + 6*l - 972. Suppose 35*c + l = 38*c. What are the prime factors of c? 2, 3 Suppose -11 = -2*d - 3. Suppose 28 = -d*b + 116. Let x = b - -12. List the prime factors of x. 2, 17 Let z(u) = 7*u**3 - 2*u**2 - 11*u - 19. List the prime factors of z(5). 751 Suppose -3 = 4*h - 7*h, m = 5*h + 1. Suppose -m*o + 365 = -127. What are the prime factors of o? 2, 41 Let t(r) = 3*r**2 - 9*r - 9. Suppose -4*o + 4*s - 10 = 18, 3*o + 3*s + 15 = 0. What are the prime factors of t(o)? 3, 17 Let s = 4 + -6. Let q(w) be the second derivative of 13*w**4/12 + w**3/6 - w**2 - 40*w. List the prime factors of q(s). 2, 3 Suppose 4*n = -n. Let g = n - -3. What are the prime factors of g? 3 Let a(w) = w**2 - 3*w - 112. List the prime factors of a(-16). 2, 3 Let p(y) = 2*y**3 + 7*y**2 - 2*y + 3. What are the prime factors of p(5)? 2, 11, 19 Let u = 92 + -141. Let o be (-2)/7 + (-14)/u. Suppose 0*v + v - 40 = o. What are the prime factors of v? 2, 5 Let l be 39/((2/(-1))/(-2)). Let b = l - 57. List the prime factors of b/(-15)*35/2. 3, 7 Let c = -62 - -66. Suppose
{ "pile_set_name": "DM Mathematics" }
2 What is 0.5 times 4822.7? 2411.35 What is 273 times -25? -6825 627634*-2 -1255268 -1.32*941 -1242.12 Calculate 0*4527. 0 2.879 times 3 8.637 Work out -1569 * -0.1. 156.9 Product of -588.4847 and 0.1. -58.84847 Work out 6557 * -98. -642586 What is the product of 27 and 6309? 170343 Multiply 42 and -29.33. -1231.86 What is the product of 0.2 and -0.209499? -0.0418998 0.15 * 1.965 0.29475 What is the product of -0.4 and -5.87? 2.348 -2.44*-0.0105 0.02562 0.2952*2.24 0.661248 What is the product of -7.38617 and 0.1? -0.738617 What is -90486 times 0? 0 2.442*4.1 10.0122 -282281 times -4 1129124 595 times -1760 -1047200 0.43*15811 6798.73 What is 574 times 648? 371952 0.147*-11219 -1649.193 Multiply -47606 and -5. 238030 Multiply -7893 and 7. -55251 Multiply -2.3 and 32. -73.6 Work out -2 * -2574. 5148 1.1875*-0.3 -0.35625 What is 0.1 times -19342? -1934.2 -1615996 * 0 0 What is 385 times -1.61? -619.85 Calculate 1*2345.5. 2345.5 Calculate 2*112501. 225002 Calculate -0.590027*-3. 1.770081 Product of -996422 and -0.2. 199284.4 Calculate -7*-20572. 144004 Work out -58467 * -0.6. 35080.2 3*-80895 -242685 -0.132 * 2178 -287.496 What is the product of 0.258 and -41? -10.578 What is the product of -2253 and 2.3? -5181.9 Multiply -85 and 0.45. -38.25 0.01*-50.25 -0.5025 2.2083 * -8 -17.6664 0.4 * -45.4107 -18.16428 What is the product of 3 and 214.65? 643.95 -0.048 * -629 30.192 -1 * -1135.9 1135.9 Calculate -324*12.2. -3952.8 What is 5.3 times -167.86? -889.658 Work out 318 * 0.008. 2.544 Product of -4895 and -5. 24475 Calculate 13*-3022.3. -39289.9 30.6*2500 76500 Product of 0.13029 and 0. 0 Product of 5 and 13.9882. 69.941 Calculate -0.01*-113.37. 1.1337 Calculate 0.5*14715. 7357.5 What is the product of -0.585 and 1? -0.585 Product of 0.3 and -141263. -42378.9 What is -0.77 times 1443? -1111.11 -109*0.98 -106.82 -7*905 -6335 -6 times -7.606 45.636 4.44 * 79 350.76 Calculate 3*-53193.6. -159580.8 What is the product of -1605 and 2.16? -3466.8 Product of -0.6 and -358. 214.8 Product of 0.029 and -9.1. -0.2639 0.3 * -712.006 -213.6018 -893473 * 0.2 -178694.6 What is the product of -3139 and -170.9? 536455.1 Product of -15 and 2795. -41925 10.2 * -32.15 -327.93 Calculate 0*12568. 0 What is the product of 115 and -148? -17020 What is the product of -0.5 and 53751? -26875.5 0 times -25769 0 -0.4*-0.15211 0.060844 What is the product of -869 and 0.115? -99.935 -0.2*-3.6822 0.73644 What is the product of 36 and 508? 18288 0.41 * 22948 9408.68 Multiply 4 and 0.12084. 0.48336 -9665*189 -1826685 Multiply 0.1 and 141510. 14151 What is the product of -0.424013 and 0.03? -0.01272039 -5809 times -15 87135 6683*33.1 221207.3 Product of -18.72 and 6. -112.32 -7.5*-18328 137460 -0.3*-5813 1743.9 -5 * 909247 -4546235 Product of -2.073 and 28. -58.044 Multiply 0.17 and -0.6315. -0.107355 What is -1.3718 times 3? -4.1154 -80 times 17.08 -1366.4 132.26*-0.3 -39.678 0.00341 * -283 -0.96503 What is the product of 52083 and -0.4? -20833.2 Work out 14374 * 302. 4340948 What is 0.903613 times -2? -1.807226 Calculate 475.57*-2. -951.14 -394 times -2.58 1016.52 What is the product of 0.4 and -412.2? -164.88 What is the product of -0.675 and 83? -56.025 Calculate 4*-788.16. -3152.64 Work out 0.0457 * -47.1. -2.15247 Product of 4.1 and 27.8. 113.98 Product of -4 and -0.786. 3.144 What is 5.1746 times -1? -5.1746 Calculate -301*-0.471. 141.771 Calculate -1271*420. -533820 5.7 times -902 -5141.4 Work out 0.6 * 139. 83.4 Work out -0.28 * -1128. 315.84 Product of 114.387 and 0.4. 45.7548 Multiply 38.53 and 0.16. 6.1648 Multiply 3 and -8803. -26409 -1171 times -11 12881 What is -40 times 50.683? -2027.32 -0.056 * -0.693 0.038808 Multiply 0.1524 and 197. 30.0228 Calculate 5*104557. 522785 -12235.8 * 0.4 -4894.32 Work out 1703 * -1251. -2130453 0.1798 * 8.52 1.531896 What is -0.171 times 431? -73.701 What is -4363 times -0.27? 1178.01 What is 10729 times 3? 32187 -10*5345 -53450 Multiply 16061 and 0.2. 3212.2 Product of -55 and 618. -33990 Work out -3 * 73973. -221919 0*1944 0 Calculate -1605*1.22. -1958.1 Calculate -1*142838. -142838 49.8*-0.0333 -1.65834 Product of -0.4 and 28209. -11283.6 Calculate -60*-878.9. 52734 What is -0.01 times -1301? 13.01 -0.5*-19228 9614 14*-121627 -1702778 What is 31 times -20.14? -624.34 9656143 times -0.5 -4828071.5 Calculate 4.1*-0.158. -0.6478 1434026*-2 -2868052 1205*-390 -469950 Work out -0.817 * -33. 26.961 Multiply -3 and -15.014. 45.042 Work out 193 * 106. 20458 Work out -0.5 * -2.39702. 1.19851 Calculate 653.31*0.1. 65.331 -609.371 times -0.4 243.7484 Product of 15361 and 25. 384025 Work out 0.2151 * 0.09. 0.019359 Product of -0.7877 and 1.1. -0.86647 Multiply 0 and -1063.2. 0 0.04 times -6489 -259.56 -0.2 times -26882 5376.4 Calculate 0.3*-19990. -5997 Calculate 12*-0.091437. -1.097244 Work out 9 * 5.1771. 46.5939 Product of -2.692 and 61. -164.212 -288984 times -0.01 2889.84 -1.76591 * -0.1 0.176591 Multiply -0.4 and 0.02753. -0.011012 What is the product of 13426 and 0.03? 402.78 Product of 0.9222 and -0.5. -0.4611 Product of 14 and 3055. 42770 12 * 83532 1002384 -145209*0.3 -43562.7 Product of -7.8162 and -58. 453.3396 Work out 7.3082 * 0.1. 0.73082 What is the product of -4 and -53762? 215048 223993*-2 -447986 Product of 2766 and -32.46. -89784.36 Work out 0.38003 * 0.2. 0.076006 What is the product of 0.5 and -0.13078? -0.06539 What is -3 times 3.78582? -11.35746 Calculate 48.8*-0.07177. -3.502376 -807 times 5.96 -4809.72 Calculate 681*6.47. 4406.07 6 times 7.81052 46.86312 What is 82 times -13862? -1136684 0 times 233464 0 51.2*2068 105881.6 What is -56318 times 2? -112636 Multiply -0.28 and -3.7521. 1.050588 What is 5 times -39287? -196435 0.045329*-1.7 -0.0770593 What is -5758 times -0.447? 2573.826 Calculate 4.1*2457. 10073.7 -4.728 times 7 -33.096 What is the product of -2598 and -10.98? 28526.04 -17 times -1326 22542 Work out 3 * -1.50871. -4.52613 97*-1.4 -135.8 What is the product of -50337 and 0.5? -25168.5 Work out 14.52 * -121. -1756.92 4.9*-2494 -12220.6 -2431 * -0.4 972.4 Calculate 1*14729. 14729 Multiply 3 and 50.29. 150.87 Calculate 4*-1410604. -5642416 8.7 * 156 1357.2 What is the product of -15.7 and -192? 3014.4 -513246 * 0.02 -10264.92 What is the product of -8 and 309? -2472 Work out 1 * 0.28607. 0.28607 1.07485 times -8 -8.5988 Work out 3.2 * -109. -348.8 10 * -2447.1 -24471 -529.012 * 4 -2116.048 -5 times 10056 -50280 Product of -3.8 and 3.475. -13.205 238.89 times -10 -2388.9 0.1 times 259529 25952.9 Calculate -0.05213*-10. 0.5213 0.14 * 18.7824 2.629536 0 * -3.802 0 Work out -122 * -0.0632. 7.7104 Calculate 53*1955.6. 103646.8 What is 0.639 times 27? 17.253 -1 times -0.138926 0.138926 Multiply 83614 and 0.2. 16722.8 537 * 0.091 48.867 Calculate 39.1*5. 195.5 What is the product of 9 and -1449? -13041 What is -79.33 times 0? 0 18*0.07418 1.33524 Product of 10 and -148910. -1489100 -14.32*182 -2606.24 -2557 * 1.4 -3579.8 0.023 times 48202 1108.646 What is the product of 14712 and 1.1? 16183.2 -0.242 times 10.2 -2.4684 Multiply 6366 and -0.4. -2546.4 Multiply -1 and -16417. 16417 What is -0.3 times 281742? -84522.6 Work out 1040.05 * -0.1. -104.005 Product of 0.181 and 0.22. 0.03982 What is 2 times -215576? -431152 -2 * 24412 -48824 -37748 times 5 -188740 Work out -0.1 * -1030.4. 103.04 Calculate -0.0931*183. -17.0373 0.4 times -104007 -41602.8 Calculate -86605*-0.5. 43302.5 Multiply -7592 and -0.58. 4403.36 What is the product of 0.67 and 4314? 2890.38 Multiply 0.05 and 48233. 2411.65 What is the product of 628500 and -0.2? -125700 Multiply -66905 and 4. -267620 Work out -2 * 12.09. -24.18 -6 * -2673 16038 -198 times 2696 -533808 20.4*2.31 47.124 836 times 26 21736 -0.91886*0.1 -0.091886 Calculate -43.4474*3. -130.3422 4*-195060 -780240 -0.6998*-0.1 0.06998 Multiply -17412 and 0.5. -8706 What is -512992 times 0.4? -205196.8 -8553 * 8 -68424 -2478677 * -1 2478677 What is the product of -0.8986 and 18? -16.1748 Calculate -39*4955. -193245 Product of 32898 and 8. 263184 Product of 292 and 0.0348. 10.1616 What is 75540 times 0.1? 7554 Product of -0.011 and 13392. -147.312 Multiply 5.1 and 0.3208. 1.63608 Work out 2589 * 105. 271845 17706*-3 -53118 What is -0.00391 times -15? 0.05865 Multiply 34 and 26303. 894302 2208.
{ "pile_set_name": "DM Mathematics" }
ond biggest value? (a) -5 (b) s (c) d c Let q = -0.37 + 0.07. Let x = -21.32 + 0.32. Let g = -25 - x. Which is the smallest value? (a) -3 (b) q (c) g c Let g = 260.07 + -260. What is the fourth biggest value in 5, -1/9, 1, g? -1/9 Let n = 3 + 0. Let f be n/(-21) + (0 - 0). Let j be (-1)/(-2)*(6 + -3 + -5). Which is the second smallest value? (a) j (b) 1 (c) f c Let r = 0.26 + 28.74. Let q = 29.3 - r. What is the third biggest value in -0.4, q, 4? -0.4 Let b = 281/7 - 40. Let v = 59.4 + 2.6. Let r = v - 62.4. What is the third biggest value in r, b, 0.3? r Let f be (-48)/45 - 6/(-15). Let j = -10.2 + 14. Let r = j + -4. What is the second smallest value in f, r, -3? f Let s = -3823/37236 + -1/1284. Which is the third biggest value? (a) 3 (b) -4 (c) s b Let w be -70*3*(-8)/60. Let l be w/14*1/10. Let o = -2 + 1. Which is the biggest value? (a) l (b) 0.5 (c) o b Let s = -3443/30 - -573/5. Which is the third biggest value? (a) -21 (b) s (c) 5 a Let c = 2601/20 + -130. Let p be (9/15)/(4/5). What is the third biggest value in 3/7, c, p? c Let g = -59 + 63. Let c be (-1)/15*((1 - 7) + g). Let p = -53/177 + -2/59. What is the third smallest value in -3/7, c, p? c Let v = 236 + -241. Which is the second smallest value? (a) 2 (b) v (c) 4 (d) 0 d Let v = 33.6 + -34.3. Let n = -5 - -4.7. Let h = 0.3 + 2.7. What is the second smallest value in h, v, n? n Let i = 0.1418 - 7.1418. Suppose 2*d + 8 = 2. Which is the second smallest value? (a) i (b) -0.2 (c) d c Let u = -30 - -29.976. Let p = 0.076 - u. What is the smallest value in -2/7, 0.2, p? -2/7 Suppose -3*a + 4 = 1. Let h be (200/6)/(5/(-15)). Let m = 904/9 + h. What is the third biggest value in m, -0.2, a? -0.2 Let m(d) = -d**2 + 3*d + 7. Let s be m(5). Let v be (s - -2 - 1)*-1. Let z be (v - 7/3)*-3. What is the third biggest value in z, -3, -2? -3 Let v = 0.6 + -8.5. Let g = v + 8. Let w = 0.02 - 0.02. Which is the smallest value? (a) g (b) w (c) 0.5 b Let y = 0.5 + -7.5. Let t = y - -6.7. Let s = -0.04577 - -15.04577. Which is the second biggest value? (a) 1 (b) s (c) t a Let s be 2 + (-12)/8 + 11/(-24). Which is the smallest value? (a) -0.3 (b) s (c) -0.06 a Let r be 10/75 - 92247/(-360). Let d = -256 + r. Suppose 1 - 2 = -2*w - n, -4*w = 3*n + 3. What is the second smallest value in d, -3/5, w? d Let m = 74.7 + -75. Let s = m + 0.1. What is the biggest value in 2/15, -5, 4, s? 4 Suppose 3 = -27*f + 3. Which is the fourth biggest value? (a) -0.4 (b) f (c) 1/4 (d) 0.43 a Let y = 17.0118 + 0.0482. Let a = 17 - y. Let m = a + -0.14. What is the biggest value in 0.5, m, -3? 0.5 Let i = -19 - -29. Suppose i = -2*h + 8. Which is the second biggest value? (a) 0 (b) h (c) 3 a Let i = 0.379 - -4.621. What is the second smallest value in -0.7, 1, i? 1 Let g = -384 - -384. What is the second smallest value in 1, -0.1, g, 3? g Suppose -3*q = 2*b - 5 - 2, 3*q - 2*b + 1 = 0. Let h = 89 - 89. What is the smallest value in h, q, -6, 0.4? -6 Let z = 54.3 + -63. Let x = z + 9. Let b = 14.273 - 0.273. What is the biggest value in b, x, -5/4? b Let u = -2.024 + 0.024. Which is the fourth smallest value? (a) 0 (b) u (c) -4 (d) 1 d Let n = 7 + -6.7. Let l = n - 0. Let o = 0.3 - l. What is the third biggest value in 0.2, o, 3? o Let c = 0.2 + -0.4. Let h = -680 - -15638/23. What is the second smallest value in -3, h, c? c Let k = -1.4627 - -0.4627. Let a = -7 + 7.3. Let z = -1 + 0.9. What is the third smallest value in a, k, z? a Let n be 35/(-42) - (-4)/6. Let q = 3 + 0. Suppose -12 = -q*t - 2*w + 19, -4*t + 48 = 4*w. What is the smallest value in n, t, 2/7? n Let o = -0.032 + 23.032. Let p = 98 - 71. Let f = o - p. Which is the third biggest value? (a) -3 (b) -1/5 (c) f c Let w = 2.6 + -0.6. Let z = -4192 + 4192.3. Let f = 51 - 205/4. What is the second biggest value in w, z, f? z Let k = -41 - -40.7. What is the smallest value in k, -1/7, 0.17, 0? k Let f = -0.0061 + 0.2061. What is the fourth biggest value in -0.3, f, 3, -0.1? -0.3 Let p = -4 - -9. Let g = 0.14 - -0.06. Let i = -0.3 + g. Which is the biggest value? (a) i (b) -4 (c) p c Suppose 25 = -3*u + 4. Let g be u/(168/100) + 1/6. Let z be (-4)/(-6) + 8/42. What is the third smallest value in g, 2, z? 2 Let s = -0.859 + 0.959. What is the third biggest value in s, -5, 2/39? -5 Let m be 1 + 6*(-4)/(-8). Suppose 0*l + l = -m*y - 23, -5*l = -4*y - 5. Which is the biggest value? (a) -4 (b) y (c) 1/5 c Let z = 775 - 773. Let x = -6.3 - -6. Which is the third smallest value? (a) z (b) x (c) 4 c Let y = -33 - -32.87. Let l = -2.87 + y. Let w = l - -4. What is the biggest value in 2, -2, w? 2 Let j = -53 + 77. Let h = 21 - j. Which is the smallest value? (a) h (b) 1 (c) -2/7 a Let y = -0.5 - -0.6. What is the smallest value in -13, 1/2, -2/9, y? -13 Let x be (-14)/(-10) + (-2196)/(-360) + (1 - 9). Let p = 1156/1045 + -74/95. Let o = p + 4/55. Which is the third biggest value? (a) x (b) o (c) 4 a Let z be (-11)/(-12) + 0 + 15/(-60). Let m be 95/342 + 1/(-2). Which is the second biggest value? (a) -4 (b) z (c) m c Let z = 84/715 - -2/55. What is the fourth biggest value in -4, -2, z, 3/7? -4 Let y = 1172 - 8206/7. Which is the third smallest value? (a) 2/111 (b) 5 (c) y (d) -1/4 a Let v = -4 - -3.75. Let g = -0.25 + v. What is the third biggest value in 2/13, -1/4, -2, g? g Let h = -10.83 - -14.83. Which is the second biggest value? (a) 3/5 (b) -79 (c) h (d) -2 a Let w = 217 - 650/3. What is the second smallest value in -2/5, 2, w? w Let b = 0.4544 - 0.1544. Let z = -3 + 2.96. What is the biggest value in 3/2, b, z, -0.3? 3/2 Let o(b) = 45*b**3 + 4 - 2*b**2 - 2*b**2 - 4*b - 46*b**3. Let y be o(-4). Let d be (8/(-14))/(y/(-14)). What is the second biggest value in d, 0.3, -2? 0.3 Let j be (-14)/(-70) - (-16)/(-30). Let x = 6.4 - 7. Let u = x + 0.6. Which is the second smallest value? (a) j (b) -3/7 (c) u a Let x = -1.394 + 1.794. Which is the fourth biggest value? (a) -5 (b) 1 (c) 3 (d) x a Let p = 71 - 71. Let x = 24 - 11. Let z = -13.5 + x. Which is the second biggest value? (a) z (b) 8 (c) p c Let b be (-20)/(-6)*6/16. Let n = 0.041 + 9.959. Let s = n - 9.7. What is the second biggest value in 5, b, s? b Let t = -5.4 - 17.6. Let g = 0.099 - 28.099. Let c = g - t. What is the third biggest value in -4, -3, c? c Let f = -1.1 - -0.8. Let j = -118 - -5185/44. Let u = 10/11 + j. What is the second biggest value in u, 0.1, f? 0.1 Let u = -0.08 - -4.08. Let t = 62 + -73. Let x be (-2)/3*(t + 8). What is the second smallest value in -5, x, u? x Let s = 28.102 + 0.298. Let w = -28 + s. Let k = -1 - -2. What is the third biggest value in k, w, -1/10? -1/10 Let y = -138 + 133. Let k be -5*(-1 + 129/135). What is the third biggest value in y, -2, 1, k? -2 Let w = -6102/5 + 1221. Let s = -5.8 + 0.8. Which is the smallest value? (a) s (b) -1/6 (c) w a Let u = 49 + -51.6. Let h = -2.4 + u. Which is the second smallest value? (a) -22 (b) h (c) 1 b Let d = -14 + 14.37. Let r = -30.13 - d. Let m = -30 - r. What is the second biggest value in 0.2, m, -4/3? 0.2 Suppose 3 = 3*p, 2*r + 2*p - 2 = -2*p. Let l = -1/40 + -77/120. Which is the third smallest value? (a) r (b) l (c) -0.2 c Let q = -7.1 + 7. Let t = 4.1 + q. Let a = -5 + 2. What is the second smallest value in -4, t, a? a Let y = -7.91 + 8. Let p = -0.59 + y. Which is the biggest value? (a) -0.3 (b) -1/3 (c) p a Let j be ((-2)/4)/(7/(-42)). Suppose z - 4*k = -17, -9 = j*z - 0*z + 2*k. Which is the third smallest value? (a) -1/3 (b) -1 (c) z a Let t = 3/5 + 1/15. Let i be (1 + 3/(-6))*-10. Which is the biggest value? (a) 0 (b) i (c) t c Let k = -2.12893 - -0.01593. Let m = k - -0.113. Which is the third smallest value? (a) -23 (b) 0 (c) m b Suppose 16*v = 13*v - 9. What is the fourth smallest value in -0.02, 0.14, v, 1/6? 1/6 Let s = 81 - 70.9. Let x = 6 + 4. Let i = x - s. Which is the second smallest value? (a) -3/5 (b) -5 (c) i a Let q = -788 + 2366/3. Which is the biggest value? (a) 4 (b) 24 (c) 0 (d) q b Suppose 0 = -5*q + 6*u - 10*u - 26, 5*u = -4*q - 28. What is the second biggest value in q, 1/5, 2/3, 2? 2/3 Let r(n) = -n**2 + 9*n + 4. Let h be r(10). Let p = -3 - h. Let d be (-3)/(-3 + (-6)/(-4)). Which is th
{ "pile_set_name": "DM Mathematics" }
1 (b) -4 (c) -0.2 (d) -2/9 d Which is the nearest to 0? (a) -3 (b) -3/4 (c) 0.4 (d) -10/21 c What is the closest to 1 in -0.05, 5/24, 4? 5/24 What is the closest to 0.1 in 0.1, -0.4, -19/6? 0.1 What is the nearest to 0 in 3/5, 5, 1/5, -9? 1/5 What is the nearest to -156 in -4, 3/4, 3? -4 Which is the closest to -1/5? (a) 1/8 (b) 2/11 (c) 20 (d) 2/9 a What is the closest to 0.1 in 1/11, -4/431, -1? 1/11 What is the closest to 0.4 in 2/7, 2/13, 2, -2? 2/7 Which is the nearest to 0.045? (a) 2/13 (b) -2/7 (c) -2.2 a Which is the closest to -3? (a) 2 (b) 1 (c) 3 (d) 3.8 b What is the closest to 5/2 in 0.15, -1/6, 4? 4 Which is the closest to 0.0315? (a) -5 (b) 5 (c) -0.3 (d) -2 c What is the closest to -1 in -1.36, -1, 1/6? -1 Which is the nearest to 0? (a) 0.1 (b) 4 (c) 1/5 a Which is the nearest to -1? (a) 18 (b) 2 (c) 0 c Which is the closest to -28? (a) -0.09 (b) -0.5 (c) 2 b What is the nearest to 2/5 in -0.2, -99, -14? -0.2 Which is the nearest to -1? (a) -0.3 (b) 14 (c) 3 a What is the closest to 1/3 in -32, 6/5, -2? 6/5 Which is the nearest to 15/4? (a) 0 (b) -4 (c) -5 a Which is the nearest to -1? (a) -4 (b) 3 (c) -0.3 (d) -3 c Which is the closest to -1? (a) -2 (b) -8 (c) -1 c What is the nearest to 0.1 in -3, 70, 9, 1? 1 Which is the closest to -0.5? (a) 1/5 (b) -2/17 (c) 2/7 (d) -2/5 d Which is the closest to -3? (a) -1/11 (b) 4 (c) 2/9 a Which is the closest to 0.2? (a) -0.2 (b) -5 (c) 8 a What is the closest to -3 in -2/3, -35, 4? -2/3 What is the nearest to -1 in -145/11, -4, -4/5? -4/5 What is the nearest to 0 in -367, 1/4, -1? 1/4 Which is the nearest to 0? (a) 21 (b) 2.4 (c) -5 b Which is the nearest to 0? (a) 1 (b) 1/7 (c) -4 b What is the closest to -3 in 2, 1, 1/4, 3? 1/4 What is the closest to 0.1 in 1/3, -2/65, 5, -4/5? -2/65 What is the nearest to 2/3 in 0.1, -0.1, 56? 0.1 What is the closest to -1.2 in -3/5, -4, 3/5, -3/8? -3/5 Which is the nearest to -1? (a) -0.1 (b) -5 (c) 0 (d) 0.59 a What is the nearest to 0 in 1, 5, -1.1, -3/2? 1 What is the nearest to -2 in 0.2, 3/4, -3, 1? -3 Which is the closest to 2? (a) -6/5 (b) 5 (c) 4 (d) 21 c What is the closest to 2/5 in 14, -3, 1.8? 1.8 What is the nearest to 0 in -0.1, -229, -0.4? -0.1 What is the closest to 1 in -11, -4, -0.3? -0.3 Which is the closest to -2/5? (a) -2/9 (b) 3 (c) 2/17 (d) 0 a What is the closest to -5/43 in -1, -0.1, 0.11? -0.1 What is the nearest to 0.1 in -4, -1/4, -3/5? -1/4 Which is the closest to 1? (a) 2/3 (b) -0.4 (c) 0.1 (d) -0.2 a What is the nearest to 0.6 in 2, 2/5, -0.4, -2/3? 2/5 What is the closest to -1 in -6, 3, 1/5? 1/5 Which is the closest to -15? (a) 4 (b) -2/7 (c) 1 (d) 5/2 b What is the nearest to -0.1 in -1/5, -0.04, 1/3, -2? -0.04 Which is the nearest to -0.09? (a) -1/3 (b) 11 (c) 0.2 a Which is the closest to 1? (a) 4 (b) 3/5 (c) -1 (d) -3 b Which is the closest to 2/3? (a) -20.4 (b) 2 (c) 5 (d) 4 b Which is the nearest to -1? (a) 14 (b) -3 (c) -4 (d) 3 b What is the nearest to 2 in 1, 4/7, -2? 1 Which is the closest to 2? (a) 2 (b) 4 (c) -1/99 a Which is the closest to 9/7? (a) 0 (b) -0.3 (c) -5/4 (d) 0.5 d What is the closest to 5/164 in -1/4, 1/7, -3, 3? 1/7 Which is the nearest to 2/3? (a) -4 (b) -0.01 (c) -1/3 (d) 0.5 d Which is the closest to -1? (a) -3 (b) -2/5 (c) -0.061 (d) 0 b Which is the nearest to -0.2? (a) 0.1 (b) 3 (c) -0.0247 c Which is the closest to 0? (a) 13 (b) -3 (c) -0.009 (d) -2 c What is the closest to -0.1 in -1.7, 5, -3/5, 0.06? 0.06 Which is the closest to -1/12? (a) -0.5 (b) 13 (c) 0.2 c Which is the closest to -9? (a) -4/5 (b) 4 (c) 5 a What is the nearest to -33 in 0.01, -0.3, 0.3? -0.3 Which is the closest to -1? (a) 8/9 (b) 0.1 (c) 212 b Which is the nearest to -0.1? (a) -5/2 (b) -10 (c) -4 a Which is the closest to 0.1? (a) -2/19 (b) 1 (c) 4 a Which is the nearest to -2/9? (a) -2/9 (b) -0.4 (c) -2 (d) -14 a What is the closest to -1/3 in -0.2, 5, -577, -3? -0.2 Which is the nearest to -7/4? (a) 0.3 (b) -824 (c) -4 a Which is the nearest to 4.83? (a) 0.1 (b) 0.5 (c) -3/7 b Which is the nearest to 0.1? (a) -1 (b) -0.1 (c) -3/4 b Which is the nearest to 2? (a) 0.6 (b) -0.06 (c) 4 (d) -4 a Which is the nearest to 1? (a) -6 (b) -0.2 (c) -0.1 (d) 3 c Which is the nearest to 3/46? (a) 5 (b) -0.5 (c) 2 (d) -3 b Which is the nearest to 0.4? (a) -4 (b) 0.6 (c) -12 b What is the closest to 0 in -4, 1, -2/9, 5? -2/9 What is the closest to 0.1 in 0, -3, -2? 0 What is the closest to -1 in -0.4, -0.06, 0.6? -0.4 Which is the nearest to 2? (a) 9 (b) 0 (c) 6/13 c Which is the closest to -2/3? (a) -16/19 (b) 1 (c) 4 a Which is the nearest to -2/5? (a) -2 (b) 0.6 (c) 2/19 c Which is the nearest to 0.3? (a) -3/5 (b) -0.03 (c) 1 (d) 0.2 d Which is the closest to -4/63? (a) 0.11 (b) -0.1 (c) 0 b What is the closest to 9 in -12/5, 1/5, 4, 1/4? 4 What is the closest to 10 in -0.4, 0.4, -48? 0.4 What is the closest to -1/3 in 2, -1/6, -7, 0.4? -1/6 Which is the nearest to -3? (a) -6 (b) 2/9 (c) 5/4 (d) 2 a What is the closest to 1 in -1/3, -0.1, 0.04, -3/7? 0.04 What is the nearest to 1/9 in -0.4, -20, 5? -0.4 What is the nearest to -1 in -20, -1, -11? -1 What is the closest to 0 in -0.4, -105, 1, -1/4? -1/4 What is the nearest to -0.1 in 2/15, 26, 1/3? 2/15 What is the nearest to -0.4 in 4/3, 3/5, 0.2, -11? 0.2 What is the nearest to 5 in -4/5, 2.4, -4, 0.2? 2.4 What is the nearest to 1/2 in 3/2, -3, 0.02, -2/3? 0.02 What is the closest to -4/31 in 1/7, -2/13, -5/4? -2/13 Which is the nearest to 4? (a) 1/11 (b) 2/3 (c) -0.7 b Which is the nearest to -4/7? (a) -5 (b) 10/7 (c) -0.4 (d) 1/8 c Which is the closest to -0.5? (a) -0.4 (b) 1/5 (c) -0.1 a Which is the closest to -4? (a) 5/3 (b) 4/7 (c) 3/2 (d) -1/6 d Which is the closest to -0.024? (a) -0.1 (b) 1/2 (c) -0.4 a What is the closest to 2/7 in -1, -53/6, -1/2? -1/2 Which is the nearest to -3/44? (a) -4 (b) 3 (c) -8 b What is the closest to -0.2 in 8, 5, -5/2? -5/2 What is the closest to 3 in -3/4, -9, 0.5? 0.5 Which is the closest to 15? (a) -1/2 (b) -2 (c) 1 (d) -4 c What is the closest to -1/9 in 0.5, 9, 3, -2? 0.5 What is the closest to -0.3 in 3.9, -1, -1/6? -1/6 What is the nearest to -1 in -1/2, 0.3, -1, 1/3? -1 Which is the nearest to 0.2? (a) 72/7 (b) 3/2 (c) -4 b Which is the closest to -1? (a) -1/8 (b) 0.6 (c) -2/21 a Which is the closest to 4? (a) -3 (b) -5/8 (c) 1/5 c Which is the closest to 0.1? (a) -2 (b) -4/15 (c) -5 (d) -4 b What is the nearest to -25 in -2, 5, -1, 3? -2 Which is the nearest to 0? (a) 5 (b) 4/3 (c) -0.4 c What is the nearest to 0.1 in -1/14, -4, -54? -1/14 Which is the closest to 2? (a) 12/7 (b) -4 (c) -0.3 a Which is the closest to 1? (a) 11 (b) 2 (c) -4 (d) 4 b What is the nearest to 0.11 in -1, -1/3, 1/3, -0.4? 1/3 Which is the closest to 1/4? (a) 2/3 (b) 0.2 (c) 2/9 (d) -0.23 c What is the nearest to 1/4 in -2.8, -19, -3/5? -3/5 Which is the nearest to 7? (a) -4/7 (b) 0.05 (c) -1/5 (d) -3 b Which is the nearest to 0.1? (a) -2/5 (b) -3/4 (c) -3 a Which is the closest to 1/2? (a) -132 (b) 2/5 (c) -0.3 (d) 4 b Which is the nearest to -1/3? (a) -0.4 (b) -0.3 (c) 40 (d) 5 b Which is the nearest to -0.1? (a) 0 (b) -2 (c) -0.9 a What is the closest to 1 in -1, 0.5, 0.33, 0.2? 0.5 Which is the nearest to -1? (a) -2/3 (b) -0.1 (c) -0.4 (d) -4 a What is the nearest to 0 in -0.3, 35/4, 3, 3/7? -0.3 Which is the nearest to 1? (a) 1/4 (b) 8 (c) 1 (d) -5.23 c What is the closest to -1 in 2/9, 0.2, -12? 0.2 Which is the closest to -9? (a) 40 (b) -0.13 (c) 1 b What is the nearest to 1 in -25, -4/5, 4, -4? -4/5 Which is the nearest to 0? (a) -2/9 (b) -14 (c) -6 (d) 0.2 d What is the nearest to 1/3 in -1/7, -2/3, 0.15? 0.15 What is the closest to -29 in -13, 3, 2/17? -13 What is the closest to 0.4 in -4, 1/5, -5, 1/3? 1/3 Which is the nearest to 1/8? (a) -2 (b) 5 (c) 2/11 c Which is the closest to 0.1? (a) -1/2 (b) -0.01 (c) 0.4 (d) 0.5 b What is the closest to -0.1 in 0.1, 3, -38? 0.1 What is the closest to 1 in 4, 17, -2/13? -2/13 What is the closest to -97 in -2/19, -0.2, -8? -8
{ "pile_set_name": "DM Mathematics" }
(f) 3 (g) 0.009 g What is the second smallest value in -5, -3/53, -38, -0.3, 0.4, -18? -18 What is the third smallest value in -2327, -4, 1/35, -5? -4 What is the fifth biggest value in -2, 744, -1/2, -1, -17, 19, 0? -1 Which is the second smallest value? (a) -0.2 (b) 14/38965 (c) -10 (d) -1 (e) -5/3 e Which is the second smallest value? (a) 6 (b) 2/9 (c) 3284.39 (d) -4 (e) -3 e What is the second smallest value in 4, -17/5, -13081? -17/5 What is the seventh biggest value in 0.9, -2/5, 0, -4, -26529, 1/8, -4/3? -26529 Which is the second biggest value? (a) 4.6 (b) 2 (c) -0.09 (d) 1 (e) -365 b What is the sixth biggest value in 3, 37, 1/7, -0.06, -164, 0.5, -6? -6 Which is the seventh smallest value? (a) -0.4 (b) -1/8 (c) -1.611 (d) -2 (e) 5 (f) 3/2 (g) 18 g Which is the second biggest value? (a) -2 (b) 74125 (c) 0.01 c Which is the biggest value? (a) 1 (b) -1/5 (c) 0.05 (d) 21 (e) -20/9 (f) 1/150 (g) -3 d What is the fifth smallest value in -0.3, -1/4, 4.63, -12, 0.1, 6? 4.63 What is the sixth smallest value in -0.5, 2, -16, 73/2, 75, -2/11? 75 Which is the second biggest value? (a) 13 (b) -1/5 (c) 25 (d) 168/5 c Which is the second smallest value? (a) 42/5 (b) 31 (c) 2 (d) 0.58 c Which is the fourth smallest value? (a) 6 (b) 183 (c) -2775/8 (d) 0.1 b Which is the biggest value? (a) -0.4 (b) 30642 (c) 6 (d) 4 (e) 1/5 (f) 0.066 b What is the biggest value in 2, 0.31, 1, -12980? 2 Which is the fourth biggest value? (a) 2 (b) 978/5 (c) -0.3 (d) 1 (e) 104 (f) 11/3 (g) 5 f Which is the third smallest value? (a) 1 (b) 144 (c) -43 b Which is the third biggest value? (a) -536 (b) 246 (c) -21 a Which is the fifth biggest value? (a) -0.2 (b) 71 (c) -2 (d) -4/9 (e) -21/74 c Which is the biggest value? (a) 7.8 (b) 2/9603 (c) -12 (d) 1/3 a What is the fifth biggest value in 1, 2/71, -2/5, 106776, 0.3? -2/5 What is the fifth smallest value in 47, -2/3, -3/35, -1, 32, 3, -4? 3 Which is the fourth biggest value? (a) -2/13 (b) 5 (c) -2 (d) 0 (e) -2/31 (f) 91/4 (g) -0.4 e What is the second smallest value in -4/11, -2/5, 19712865? -4/11 What is the second smallest value in -4, 3641630, 0.5? 0.5 What is the third smallest value in -1892, 4, 360? 360 What is the fifth biggest value in 5, -3, -1, 1, 17390/81? -3 What is the smallest value in 4, 0.01, 4701, 2, -35? -35 What is the biggest value in 19, -4/9, -0.011426? 19 Which is the fourth smallest value? (a) -2/11 (b) -2 (c) -1/3 (d) -133/2 (e) -13 c Which is the biggest value? (a) 9 (b) -47.4 (c) -1/2 (d) -0.1 (e) 53/5 e Which is the sixth smallest value? (a) 56 (b) -166 (c) 3 (d) -1 (e) -10 (f) -3 (g) 2 c Which is the third biggest value? (a) -0.04 (b) -3012 (c) 16.2 b Which is the third smallest value? (a) 23/3 (b) 2 (c) 0.2 (d) -55 (e) 155/4 (f) 5 b Which is the seventh smallest value? (a) -16 (b) 0.09 (c) -2/13 (d) -25 (e) 4 (f) 23/6 (g) -3 e What is the third smallest value in 1/25, -3, -0.1, 5, -9, -2/285? -0.1 What is the second biggest value in -5, -0.13, -96, 283? -0.13 What is the third smallest value in -30, 1, 2/11, -60/23, -88? -60/23 What is the biggest value in 2/13, 2334680, 1/14? 2334680 Which is the second smallest value? (a) -0.15 (b) -0.3 (c) -85742/7 (d) 3/4 b What is the second smallest value in 3/2, 0.0009, 0.89, -1/2? 0.0009 Which is the fourth biggest value? (a) 5 (b) 1 (c) 13953 (d) 0 (e) -0.07 d What is the sixth biggest value in -3/2, 1, -0.02983, 0.5, 1/5, 0, -7? -3/2 What is the smallest value in 54, -1/6, -3/812, -271? -271 Which is the fifth smallest value? (a) 35896 (b) 4 (c) -6 (d) -3/14 (e) 1 a What is the smallest value in -0.017, 1994, 2.67? -0.017 What is the second smallest value in 6, -481/7, 21, -1/2, -0.3? -1/2 What is the third biggest value in 0.4, -1/6, -3744, -151? -151 Which is the second biggest value? (a) 2 (b) 0.09 (c) -801722/15 b What is the third smallest value in 1, 10494, -1.637? 10494 What is the fourth biggest value in -1, 2, 0.2712076, 2/17? -1 What is the second biggest value in -9.2, 2/9, 9, 0.3, 1112, 0.1, -2? 9 What is the smallest value in 0.39, -19/197, -9? -9 Which is the second smallest value? (a) -1776 (b) 0.5 (c) 2 (d) -2/1063 d What is the fourth smallest value in 0.1, -2/7, 41/9, 20, 25? 20 Which is the third biggest value? (a) -125/10119 (b) -5 (c) 18 b What is the second biggest value in 0.126, -0.1, -8/11, -246? -0.1 Which is the smallest value? (a) 2049 (b) 9 (c) 1/2 c Which is the fourth smallest value? (a) -36966 (b) -1/4 (c) -0.5 (d) -0.26 (e) -5/3 (f) 1 d Which is the third biggest value? (a) -2/5 (b) -4 (c) -2 (d) -2675 (e) 0 (f) 3/2 (g) 10 e What is the biggest value in -13250, 1, -2, -144? 1 Which is the second smallest value? (a) -937 (b) 0.5 (c) 10364 b What is the third smallest value in 4, -1.79, -225/118? 4 Which is the fifth biggest value? (a) -4 (b) 0.3 (c) -1 (d) 0.79 (e) -1/3 (f) -11362 (g) -4/3 g What is the second biggest value in -7, -4, -6, 1, 6, -2.53, -5? 1 Which is the fourth smallest value? (a) 14639 (b) 1/3 (c) 1 (d) 13/4 a What is the second smallest value in 0.5, -204/337, -1.767? -204/337 Which is the fifth smallest value? (a) 3/29692 (b) 1.9 (c) 3 (d) -0.5 (e) 9 e Which is the second biggest value? (a) 110 (b) 9360 (c) 3/7 (d) 4 (e) 0.2 a Which is the fifth biggest value? (a) -3/2 (b) 0.5 (c) 5077 (d) 0.044 (e) -2 (f) 0 (g) 2 f What is the third biggest value in -83.5, 138/7, -2.83? -83.5 Which is the fourth biggest value? (a) 1 (b) 0 (c) -156742 (d) -4 (e) 3 (f) 2/19 b What is the second biggest value in 95, -9/76880, 0.1? 0.1 Which is the third biggest value? (a) -0.3 (b) -3/7 (c) -2 (d) 695578 (e) 0.04 a What is the second biggest value in -2/9, 1/79286, 1/14? 1/79286 What is the second smallest value in -2/37, 4378, 10, 0.1? 0.1 Which is the biggest value? (a) 2 (b) 1121 (c) -122.7 b Which is the biggest value? (a) -1.3 (b) -9 (c) -6 (d) -0.01 (e) 2/53 (f) -81 e Which is the second smallest value? (a) -2.7 (b) 18/13 (c) 167 (d) 2 (e) 0.5 (f) 1 e Which is the second smallest value? (a) 522 (b) -410 (c) 1834 a What is the second biggest value in 0.199, -0.5, 2, -0.3932, -2/13, 0.3? 0.3 What is the fifth smallest value in -3/8, -0.4, 173, 9, -2, 4? 9 What is the second biggest value in 13, 2.3, -1/3, 0.7, 0.028? 2.3 What is the third smallest value in -0.017575, 1/2, 3, 1? 1 What is the fifth smallest value in 5.85, 2, -0.4, 0.05, -13.3, 0.4? 2 What is the third smallest value in 1/3, 0, 45110? 45110 Which is the third biggest value? (a) 183400 (b) -5 (c) 12 (d) 0.1 d Which is the fifth smallest value? (a) -552/7 (b) 0.038 (c) 1/7 (d) -4 (e) -3 c Which is the third smallest value? (a) -2701 (b) -4/249 (c) 2 c What is the biggest value in -315, -4, 1, -5, -1/4, -1/7, -97? 1 What is the second biggest value in 176, 13892, 4/7, 6? 176 Which is the third smallest value? (a) 41 (b) -880.1 (c) -4 a What is the fourth smallest value in -5/31, 0.07, 3/4, -9, -1/7, -0.1? -0.1 Which is the biggest value? (a) 0.5 (b) -2/3 (c) 2/5411 (d) -9 (e) -4/7 (f) -4 (g) 2/5 a Which is the third smallest value? (a) -1505 (b) 53.8 (c) -64 b What is the smallest value in -2/43, -2, 1335, 0.049? -2 What is the second smallest value in -1/71, 0.5, -5, -8, -1/2, 0? -5 Which is the biggest value? (a) 1/7 (b) -3 (c) -43/4 (d) 3/22 (e) 0.1 (f) 62 f What is the biggest value in 27, 7873.5, 33? 7873.5 What is the smallest value in -13, -2/153, -3/2, 4, -3, 7? -13 What is the smallest value in 2/1839675, -22, -4/3? -22 Which is the third biggest value? (a) -359547 (b) 2/19 (c) -0.1 a Which is the third biggest value? (a) -277 (b) -48 (c) 0.1 (d) 57/11 b What is the third biggest value in 449/25, -1750.2, 2? -1750.2 What is the second smallest value in -1/2, -1, 3/19, -10.035, 0.5? -1 What is the second biggest value in -23638, 10, 2/15, 1/10, -1/10? 2/15 Which is the smallest value? (a) -3 (b) 0.06 (c) -47 (d) 0.34 (e) -72/11 c Which is the second biggest value? (a) -1 (b) -1/50846 (c) -0.3 c What is the third smallest value in -5, 0.055, 1/3, 2/53, 0.052? 0.052 Which is the fifth big
{ "pile_set_name": "DM Mathematics" }
r**2 + 24*r**2 + 2*r in the form d*r**4 + t*r + i*r**2 + f + m*r**3 and give d. 1 Rearrange (2*g - 9 + 9)*(3 - 3 + 3)*(0 + 3 - 2) to the form q*g + k and give q. 6 Express 4077*r**3 - r - r**2 - 4072*r**3 + 3 - 1 + 3*r**4 in the form k*r**4 + l + s*r + g*r**2 + o*r**3 and give s. -1 Express 0*p**2 - p**3 - 3*p**2 + 3*p**2 - 14 as q*p**3 + d*p + i + r*p**2 and give q. -1 Express (-3 + 0 + 1)*(-170 + 170 - 94*b)*(-2 + 4 - 3) in the form s*b + f and give s. -188 Rearrange -33*b + 13*b - 17*b to s + f*b and give f. -37 Rearrange 3*q**3 + 0*q + q**4 - 2*q + 4*q to h*q**2 + u*q + m*q**3 + y*q**4 + a and give h. 0 Rearrange 25*r + 0*r**2 - r**2 - 22*r - 2*r**4 + 0*r**4 to the form p*r**3 + n*r**4 + l*r + d + s*r**2 and give l. 3 Rearrange -4*x**2 - 8*x + 5*x + 2*x + 2*x**2 + 2 to the form u*x + k + l*x**2 and give u. -1 Rearrange 3*n**4 + 2*n**2 - 3*n**2 + 57*n - 55*n to r*n + d*n**3 + q*n**4 + l*n**2 + b and give d. 0 Rearrange -5*s**2 + s**2 + 0*s**2 + 0*s - 1 - 2*s**4 + 4*s to the form k*s**2 + n*s**4 + b*s**3 + y*s + m and give m. -1 Rearrange 10*u**4 - 14*u**4 + 2*u + 1 + u**3 + 2*u**4 to the form s*u**3 + y*u**4 + f*u + o + m*u**2 and give f. 2 Express (2*k + k**2 - 3*k + 0*k**2)*(-8*k + 29*k - 13*k) as p*k + x*k**3 + w + f*k**2 and give f. -8 Rearrange -2*k - k**2 + k + 2*k**4 - 2*k**2 to g*k + f*k**3 + c*k**4 + l + h*k**2 and give c. 2 Express 3*a**4 - 18 - 15 + 36 - a**3 in the form i + q*a**3 + s*a**2 + t*a**4 + c*a and give c. 0 Express (2*s + 2*s - s)*(-6 + 7 + 4)*(-s + s - 2*s) as t*s**2 + c + i*s and give t. -30 Express (-2 + 2 - 1)*(0 - 4*n + 1 - 6) in the form t*n + o and give o. 5 Rearrange (-n + 0*n + 0*n)*(-2*n**2 + 3*n**2 + n**2) + (0*n - 3*n + 5*n)*(n**2 + 3*n - 3*n) + 2*n**3 + 0*n**2 + 0*n**2 to m*n**2 + i*n + s + o*n**3 and give i. 0 Express (-5 + 1 + 3)*(226*h - 95*h - 2*h + 133*h) as d + k*h and give k. -262 Express -3*b + 7*b - 3*b + 5*b in the form r + j*b and give j. 6 Express 1 - 1 + 2*j**2 + (7 - 2 + 4)*(-1 + 5*j**2 + 1 + (0*j + 5*j - 4*j)*(0*j - 3*j + 2*j) - 3*j**2 - 3 + 3) in the form w*j**2 + z + v*j and give w. 11 Rearrange (-2*m + 4 - 4)*(-3 - m - 3*m + 2*m) to z + w*m + x*m**2 and give w. 6 Rearrange 3*q - 9*q + 2 - 14*q - 3*q to a*q + s and give a. -23 Rearrange (348 + 2*m - 348)*(-4 - 2*m + 4)*(-1 + 1 - 2) to r + w*m + a*m**2 and give a. 8 Express 4*u**4 - 4*u**4 + 2 + 39*u**3 - u**2 + 2*u**4 - 42*u**3 in the form q*u**2 + m*u**4 + g*u**3 + r*u + y and give y. 2 Express 39*g**2 + 36*g**2 + 11*g**2 in the form l + c*g + d*g**2 and give d. 86 Rearrange -1 + 1 - 2*g + 6 - 6 - 5*g + (-3*g + 2*g + 0*g)*(5 + 1 - 3) + g + 2*g - g to the form t + c*g and give t. 0 Rearrange (-4 + 6 - 1)*(-2*v + 4*v - v) - 5*v + 5*v + 2*v + (3 - 4 + 0)*(-v + 3*v - 3*v) - 84*v - 48*v + 21*v to q + s*v and give s. -107 Rearrange 3*w - 6*w - 9*w + 0*w to the form q + u*w and give u. -12 Rearrange (-s**3 + 0 + 0)*(-2*s + 2*s - s) + 20*s**4 - 8*s**4 - 7*s**4 to the form z*s**3 + l + c*s + y*s**2 + i*s**4 and give i. 6 Rearrange (10 + 11 - 5)*(0*t - 5*t + 2*t) to the form b + j*t and give j. -48 Express 2*j**3 + j**2 - 3*j**2 + 4 - 7 - j**3 in the form p*j + r*j**3 + d*j**2 + m and give d. -2 Express (-34 + 19 - 29)*(a - 2*a + 0*a) in the form c*a + b and give b. 0 Rearrange -2 - 15*m**2 + 12*m**2 + 2 to the form l*m + k*m**2 + q and give k. -3 Rearrange (-4 + 0 + 1)*(-3 + 0 + 1)*(0 - 2*m + 3 - 1) to the form n + w*m and give w. -12 Express 830 + 35*b**2 - 830 as u + s*b**2 + p*b and give s. 35 Express 2*b**3 + 2*b - 2*b**2 - 4*b + 4*b - b as d*b**2 + k*b + s*b**3 + g and give s. 2 Express -1 - 2*z**3 + 13*z - 26*z + 0 + 10*z in the form p*z**2 + u*z**3 + y*z + m and give y. -3 Rearrange -9*x - 5*x - x to the form w*x + k and give w. -15 Rearrange (-6 + 2 - 1)*(2*y**2 - 5*y**2 + y**2)*(-5 - 3 + 4) to o*y + j*y**2 + x and give j. -40 Rearrange 2 + 154*j - 6 - 154*j - j**2 + 16*j**3 to k + m*j + c*j**2 + u*j**3 and give u. 16 Rearrange 19*j**4 - 5*j**3 - 21*j**4 + 5 + 4*j**3 to p*j**2 + i*j**4 + b + t*j**3 + s*j and give i. -2 Express (-7*m + 7*m + m**2)*(3*m + 2 - 2)*(6*m - 2*m - m) as q*m**4 + z*m + v + x*m**2 + j*m**3 and give q. 9 Express (-2*r**2 - 10*r + 10*r)*(-2*r + r + 4*r)*(-3 + 3 + 2) in the form w*r**3 + s*r**2 + b*r + y and give w. -12 Rearrange -28 + 0*j + 2*j - 4*j to the form s + o*j and give s. -28 Express (-3 + 5 + 0)*(-3 + 5 - 4*f + 6*f) in the form s*f + l and give l. 4 Rearrange 163*f**2 - 164*f**2 - 4*f**3 + 2*f**4 - 3*f**4 to l*f**3 + c + i*f + x*f**4 + p*f**2 and give p. -1 Rearrange ((6 - 1 - 4)*(2*r + 9 - 9) - 1 + 1 + r)*(r - r - r) to the form z*r + w*r**2 + y and give z. 0 Rearrange (-2*w**4 + w**2 - w**2)*(-2 + 0 - 1) + (0*w**3 - 3*w**3 + 4*w**3)*(26 - 26 + 3*w) to the form b + f*w + k*w**4 + p*w**3 + c*w**2 and give p. 0 Express (5*x**2 + 3*x**2 + 6*x**2)*(-9*x + 0*x + 3*x) as a*x**2 + y*x + t*x**3 + d and give t. -84 Express (-2 - 3 + 3)*(16 + 6*w - 16)*(-4*w + 4*w - 2*w) in the form p + f*w + u*w**2 and give f. 0 Rearrange (-49 - 44 + 198)*(2 - 2 + 2*s) to the form q + b*s and give b. 210 Rearrange 43*i - 64 + 64 + 2*i**2 to the form p*i + j + d*i**2 and give d. 2 Express -3*u + 0*u + 0*u**2 + 0*u**2 - u**4 - 2 - u**3 in the form a + f*u**2 + z*u**3 + y*u**4 + r*u and give a. -2 Rearrange -4*y + 9 - 9 to q + z*y and give z. -4 Express 4*w**2 + 2*w**2 - 13*w + 0*w**2 in the form f*w + r*w**2 + o and give f. -13 Express (-2 + 1 + 0)*(461 - 735 + 434)*(-2*g - g + g) in the form y*g + v and give y. 320 Rearrange 34*k - 76 + 76 to the form o*k + y and give o. 34 Express (-p**2 + 2*p**2 + 0*p**2 + (3*p - 2*p + 2*p)*(2*p + 1 - 1))*(0 - 4 + 0) in the form s + t*p + u*p**2 and give u. -28 Express 603 - 606 - 2*r**3 + 0*r**3 + r**2 - 3*r**4 in the form n*r**2 + q*r**3 + a*r**4 + w*r + f and give f. -3 Rearrange (10 - 1 - 2)*(d + 3*d - d)*(-2*d + 7*d - 7*d) to f*d**2 + b + o*d and give f. -42 Express -2*q**4 + 5 - 97*q**2 + 2 + 2*q + 93*q**2 - 3 in the form u*q**3 + z + l*q**2 + h*q**4 + n*q and give z. 4 Express 2*m**3 - 58 + m**4 + 3*m + 57 + 3*m**4 in the form w + a*m + y*m**2 + l*m**3 + u*m**4 and give u. 4 Express 14*c**2 - 6*c**2 + 14*c**2 in the form m + o*c + n*c**2 and give n. 22 Express -20*o - 49 + 49 as j + h*o and give h. -20 Express -4 + 8 - 3 - 8*c**2 + 4*c in the form j + k*c + u*c**2 and give k. 4 Rearrange 17*n + 2 - 10*n + 40*n to the form j + s*n and give j. 2 Rearrange -4*d - 23*d**3 + 4*d**4 + 46*d**3 - 27*d**3 to b*d**2 + u*d**4 + g + f*d**3 + l*d and give f. -4 Express 3 + 3*g**4 + 3*g - 55*g**3 - 52*g**3 + 105*g**3 as l*g**4 + x + t*g + y*g**2 + c*g**3 and give x. 3 Rearrange -2*l**2 + 5 - 3 - 3*l**2 - 3 to r + v*l + n*l**2 and give r. -1 Express (t - 6*t + 2*t)*(-3 + 3 + 5*t) - 3*t**2 + 3*t**2 + 3*t**2 in the form o + c*t**2 + a*t and give a. 0 Express (-1 - 12 - 1)*(-a + 2*a + 3 - 1) in the form v*a + w and give w. -28 Rearrange (-1 + 0 + 4*h - 6*h)*(9 + 1 - 6) to q*h + u and give u. -4 Express 7 + 176*c**4 + 0*c - 2*c - 177*c**4 in the form v*c**3 + u + b*c**2 + k*c + h*c**4 and give u. 7 Express (-g + 5*g - g)*(-2*g**2 - 3*g**2 + 10*g**2) as q*g**2 + a + r*g**3 + y*g and give r. 15 Express (-11 + 5 - 5)*(2*w**4 + 0*w**4 - 4*w**4) as l*w**4 + v*w**3 + h*w**2 + z + f*w and give l. 22 Rearrange (-p + 4*p - p)*(108 - 55 - 52 - p**2) to k*p**3 + b + j*p**2 + x*p and give k. -2 Express (-19 - 52 - 43)*(-2*r**3 + r**3 + 0*r**3) in the form s + a*r**2 + c*r + g*r**3 and give c. 0 Rearrange 0*k**2 - 13*k**2 - 9*k**2 to h*k**2 + z*k + v and give h. -22 Rearrange -5*k**2 - k + 7*k**2 + 3*k to v*k + i + z*k**2 and give z. 2 Rearrange 0*a + 3*a - 5*a + (3 - 4 - 1)*(0*a - 5*a + 3*a) + (2 - 2 - 5)*(-1 + 3 + a - 1) to p*a + s and give p. -3 Rearrange -320*a + a**2 + 318*a + 3*a**3 + 0*a**3 + 2 to the form o*a**3 + p*a + d + h*a**2 and give d. 2 Express 3*b**4 + 2*b**4 - 6*b**4 + (-b**3 - 3*b**3 + 2*b**3)*(-3 + 8*b - 4*b + 0) in the form z*b**4 + r + v*b + y*b**3 + t*b**2 and give y. 6 Express -r**3 - 3 - 11*r**3 + 4 as b + h*r**3 + i*r + p*r**2 and give h. -12 Rearrange 2*v**3 - 9*v**4 + v - v**3 - 3*v**3 to the form l*v**2 + n*v + r*v**4 + t*v**3 + x and give n. 1 Rearrange 48*w + 4*w**2 - 2*w**3 - 8*w**2 + w**4 + 3 - 48*w to g*w**2 + r*w**3 + l*w + b + z*w**4 and give l. 0 Rearrange -2*r + 1 - 1 + (-2 - 3
{ "pile_set_name": "DM Mathematics" }
-6*q - 1388735, 5*n + 4*q = 1388681. Is n prime? True Suppose 6*t = 8426 + 112. Is t prime? True Is (5 - (1 + 2))*2 + (8 - -8566) composite? True Let a = -230 - -122. Let g = a + 561. Is g prime? False Is 1*(8924 - 3 - (-4)/2) a prime number? True Let c(l) = -l**3 - 9*l**2 - 11*l - 1. Let t be c(-8). Suppose -t*d + 19*d + 26760 = 0. Suppose 4*x - d = 2*n, 4*x - 3*x - 1669 = 4*n. Is x a composite number? True Let a = -192 - -282. Suppose a = r + r - 5*z, -135 = -3*r - 5*z. Let u = 8 + r. Is u a prime number? True Let f = 486 - 492. Let i(c) = -c**3 + 2*c**2 + 10*c + 43. Is i(f) composite? False Let p(i) = 2*i**2 + 67*i + 392. Is p(-75) composite? True Is (-256740)/(-27) + -1*(-16)/144 a composite number? True Let s(l) = 2*l**3 + 25*l**2 + 13*l + 3. Let t(m) = 2*m**3 + 21*m**2 + 12*m + 4. Let p(z) = 5*s(z) - 6*t(z). Let x be (5/(-2))/((-3)/(-6)). Is p(x) composite? False Let i be -29*(-2)/2 + 28/(-7). Suppose 0 = -i*y + 11*y + 364. Is y prime? False Suppose q = -4*l + 10030, 3*l - 10961 = -q - 929. Suppose h + 5*h = q. Is h a composite number? True Suppose 0 = 7*u - 481 + 194. Suppose o + 44 = -4*l - 3*o, 5*o = -3*l - u. Is (-91)/26*524/l composite? True Let i(z) = -z**3 + z + 2128. Let f be i(0). Suppose -2*p + 234 = f. Let k = p - -2062. Is k composite? True Let m(t) = 143*t**3 - 13*t**2 + 27*t + 155. Is m(12) a composite number? False Let g(v) = -v**3 + 6*v**2 - 4*v + 4. Let x be g(4). Suppose 0 = -24*c + x*c - 3132. Let r = -290 - c. Is r a composite number? True Suppose 5*m - 3*w = 1225, 1225 = -3*m + 8*m - 5*w. Let z = -641 + 645. Suppose 2*d = -9*c + z*c + 510, d = -5*c + m. Is d prime? False Let n(g) = 22065*g - 10187. Is n(36) prime? True Suppose 1 = 4*n + 21. Let m(u) be the second derivative of -u**5/5 + u**4/6 + 3*u**2/2 + 8*u + 3. Is m(n) a prime number? False Let g(k) = -20*k + 30. Let z be g(5). Let r = z - -76. Suppose -5*v - 293 = -r*v. Is v a composite number? False Is 125876/10 - (-1001)/715 prime? True Suppose 0 = -3*k - 30 + 192. Let t be (-4 + 9)/((-1)/29). Is (k/(-30))/(3/t) prime? False Let i(p) = p**2 + 5*p + 5. Let v be i(-5). Suppose 1464 = -v*y - 4*l + 5055, -2*y = -5*l - 1443. Suppose y - 25 = 2*x. Is x prime? True Let s = -8 + 13. Let o(i) be the third derivative of 31*i**4/6 + 11*i**3/6 - 2*i**2 - 127. Is o(s) prime? True Let t(s) = -104*s - 11. Let r(i) = -i + 1. Let z(u) = -6*r(u) + t(u). Is z(-5) prime? False Let u = -58 + 66. Let j(m) = m**3 - 9*m**2 + 9*m - 16. Let s be j(u). Is (-11)/(-44) - ((-12030)/s)/(-5) a prime number? False Let v = -399217 - -813720. Is v a composite number? False Let h = 6071 + -8928. Let a = -1056 - h. Is a prime? True Is 370/296 + (-91743)/(-4) prime? True Let j(i) = -17*i + 1257. Is j(-40) a composite number? True Suppose 102 - 22 = 20*g. Is g - (-4 + 7 - 2706) a composite number? False Let s = 69 - 71. Let c(j) = -410*j + 18. Is c(s) composite? True Suppose -5*s + 1324415 = 2*w, -2*s - 6*w + 529772 = -4*w. Is s prime? True Suppose 6602340 = 13*f + 822206 - 3560743. Is f a prime number? False Suppose 4*g - 7 - 9 = 2*t, 0 = 3*t - 5*g + 19. Let v(w) = 3*w - 1. Let d be v(t). Suppose -d*a = -96 - 74. Is a a composite number? True Let v(g) = -2*g**2 - 23*g - 9. Let s be v(-11). Suppose -s*o + 197 = -201. Suppose -o = -10*r + 1471. Is r a composite number? False Suppose -2034660 = -422*n + 392*n. Is n prime? False Suppose -1 = -2*i + 5. Suppose -3*n - n = -8, 6 = i*w - 3*n. Suppose -5*b + w*p = p - 575, 2*b - 221 = 3*p. Is b prime? False Let w = 375768 + -101665. Is w a composite number? False Suppose 0 = -2*t - 0 + 10. Suppose 4*i - 5*v = 450, t*i - 4*i - 3*v = 109. Is i composite? True Let i = 3218 - 2239. Let l(k) = 153*k + 4. Let h be l(-4). Let t = h + i. Is t a prime number? False Let k = 625267 + -137406. Is k composite? True Let j = -3438 - -2373. Let v = 2152 + j. Is v prime? True Let l(k) = -4843*k + 134. Let j be l(-12). Suppose 58242 = 2*m + 4*s, 0 = 5*m - 7*m + 4*s + j. Is m a composite number? False Suppose 976*v = 981*v - 40. Suppose -v*p + 15912 = -34144. Is p composite? False Let v = -456 - -451. Is 5 + 6456 - (v + -1) a prime number? False Suppose -28*y + 768726 + 892591 = -126511. Is y a composite number? True Suppose -y = -531 - 3566. Let w = -108 + y. Is w prime? True Let o = 444 + -425. Suppose -39137 = -o*p + 12*p. Is p composite? False Is (-119 - -114)*725636/10*5/(-10) composite? False Suppose -15*t - 14*t + 13196465 = 12*t. Is t composite? True Let g = -158 + 369. Suppose q - 2*q + 3*a = -g, 4*q = 4*a + 876. Let p = 462 + q. Is p composite? True Let q(v) = v**3 - 7*v**2 + 4*v + 14. Let m be q(6). Let l be m/5 - (-18564)/(-85). Let j = -129 - l. Is j a composite number? False Suppose 2*q - 5*g + 16 = 0, 5*g + 2 = 13*q - 17*q. Is (q - -10)*997 + (5 - 5) a prime number? False Let z(f) be the first derivative of -f**2/2 - 13*f + 9. Let b be z(-15). Suppose 49 = v + 3*w - 2, -b*v = -2*w - 70. Is v prime? False Let z(l) = 102*l**2 - 7*l - 3. Let w be z(-5). Let f = w + -1199. Is f a composite number? True Suppose 3*k - 82 = -5*n, 44 = -k + 3*k - 2*n. Let z = k - -71. Is z a prime number? False Let l be 1/(-1 - (-27)/26). Suppose 0 = 4*g - 2 - l. Suppose 6*v = g*v - 47. Is v a composite number? False Suppose -s - 5*h = -2*s, -h = 0. Suppose 0 = 4*k + 3*n - 2565, 203*k = 195*k - 4*n + 5124. Suppose -3*u + 492 + k = s. Is u a composite number? True Let c be 7*1 - (-11 + 14). Suppose -c - 14 = -9*v. Suppose -b - 794 = -3*y, -v*y = 2*b - b - 521. Is y a composite number? False Let j = 3 - -1. Suppose -6*s - 5*s + 5544 = 0. Suppose 2*x - s = -4*z, -x - 2*x - 514 = -j*z. Is z composite? False Let c = -6 + 6. Suppose -18*l + 32*l - 2086 = c. Is l a composite number? False Let c be -2 - (4 + (-3027)/3 + -1). Let g = -331 + c. Is g a composite number? False Suppose 5*a + 25 = 0, 8*a + 15 = -2*f + 3*a. Suppose 0*s + f*s - 4*v - 39953 = 0, 3*s = -4*v + 23991. Is s a prime number? True Let w(g) = 5351*g - 59. Is w(2) prime? False Suppose 0 = 8*q - 10*q + 123634. Suppose -2*t = 4*b - 466 - 30426, -4*t + q = -3*b. Suppose -7*j = -13353 - t. Is j a prime number? False Let o be (-86430)/(-35) - (-3)/(-7). Suppose 19*t - 16*t = -o. Let x = -8 - t. Is x composite? True Let b = 1415 + -1443. Let x(q) = 4*q**2 - 3*q + 1. Let g be x(3). Is 2*((-8)/b - (-8154)/g) composite? True Suppose -3*d + 4*v + 331 = 0, -3*d - 8*v + 4*v + 299 = 0. Is 35/d + 706/(-3)*-41 a prime number? True Let p be (-1)/(-4) + (-1053)/(-108). Let i(w) = -8*w + p*w**2 + 2 + 4*w**2 - w**2. Is i(4) prime? False Let i(m) = -m**3 + 8*m**2 - 5*m - 9. Suppose 0 = 6*o - 27 - 15. Let q be i(o). Is 2 - 965/(-5)*q a composite number? False Is (-1865446)/(-154) + (-4)/14 composite? False Suppose 14*g = 13*g. Suppose 4*n + g*n = -4*y, 4*n + 2*y = 4. Suppose 7*q - 3*q = -4*k + 236, 0 = n*k + 3*q - 118. Is k composite? False Is (-11)/(-3)*(-41 + 135398) prime? False Suppose 0 = -0*d - 2*d + 974. Suppose -2*f = -i - 499, 2*f - 9*i = -4*i + d. Is f composite? False Let c = -53 - -56. Suppose 0 = -c*b + 1486 - 328. Is b prime? False Suppose 227440 = 74*z - 1495206. Is z composite? False Suppose -28*b + 870860 = -1044879 + 282387. Is b a prime number? False Suppose 0 = 9*h - 3395 - 2959. Let u = 3539 - h. Is u a prime number? True Let n be ((-18)/12)/(2/(-1388)). Suppose 9*y - 11*y + 688 = 0. Let i = y + n. Is i composite? True Let g(m) = 202*m**2 - 192*m - 363. Is g(18) a prime number? False Let q = 561 + -557. Suppose -q*g = -5*a - 231, -3*g + 5*a + 113 = -g. Is g a composite number? False Let f(d) = 3*d - 18. Let w be f(12). Suppose 2*t + w*t = 118380. Is t a prime number? False Let u be (-4 - (-1874)/8)/(1/36). Suppose 5*t - 8301 = u. Let c = t - 2117. Is c a prime number? True Let w = 450772 + -256533. Is w a prime number? True Let j(w) = w**2 - 25*w + 101. Is j(24) composite? True Let q be 1/(3/(-9)) + 6 + -1. Let m(s) = 1709*s + 15. Is m(q) a prime number? True Suppose 2*g + 6477 = 3*n, -4*n - 4*g + 4832 = -3824. Is n composite? False Is 4/12*-15 + (-2 - -8) + 1172890 prime? False Let q(r) = -23*r**3 - 35*r**2 - 18*r - 49. Is q(-16) a composite number? False Suppose 446993 + 897302 = s - 3*c, 5*c + 20 = 0. Is s a composite number? False Let f(p) = 832*p**2 - 18*p + 51. Let z be 8/(6 + -2) + 2. Is f(z) a composite number? Fa
{ "pile_set_name": "DM Mathematics" }
f? 2 Suppose -4512 = -2*g - 2*m, -3 = -2*m - 9. What is the tens digit of g? 5 Let k be (-6)/4*8/(-6). Suppose 12 = k*t + 2*t + 4*r, -2*r - 19 = -3*t. Suppose -2*w + 17 = -5*n - 3, 4*w - t*n = 30. What is the units digit of w? 5 Let x(l) = -5*l**2 - 6*l - 3 + 1 + 4*l**2 - 2. Let t be x(-5). Let p = 7 - t. What is the units digit of p? 6 What is the tens digit of ((-24)/4)/((-52)/22178)? 5 Suppose -3*l + 12 = -4*u, 0*u + 3*u - 33 = -3*l. What is the tens digit of ((-45)/2*l)/(-1)? 8 Let l(q) = 151*q + 147. What is the hundreds digit of l(8)? 3 Suppose -i - 38 = -20*i. Let z = 26 + 18. Suppose z = i*q - 20. What is the units digit of q? 2 Let p(k) = -525*k + 97. What is the hundreds digit of p(-8)? 2 Let b be 312/9*(-3)/(-1). Suppose 241 = 5*f - b. What is the tens digit of f? 6 Let n = 40 - 49. What is the units digit of (-1)/(n/2) + 788/18? 4 Suppose 3*u - 4*p - 885 = 1338, 0 = -4*p. What is the hundreds digit of u? 7 Suppose 2*i + 3*a + 2 = 0, 0 = 2*i + 3*i + 5*a. Suppose 120 = i*w + 6*w. What is the units digit of w? 5 Let p = 106 + -45. Suppose 57 = 2*o + 4*z - 81, o - 2*z = p. What is the tens digit of o? 6 Suppose -5*l = -3*j + 80, 4*l = -j + 2*j - 64. What is the units digit of (-1068)/l + 3/12? 7 Suppose 4*c = 5*j - 11, 5*j + 4*c = -c - 25. Let d be 14/(-6) - j/3. Let w(s) = -15*s + 1. What is the units digit of w(d)? 1 Suppose -4*h + 24*d + 2407 = 29*d, 1196 = 2*h + 4*d. What is the tens digit of h? 0 Suppose 2*r - 5 = -1. Suppose 0 = 3*q + 4*o - 1213, 5*q - 806 = 3*q - r*o. Suppose 4*h - q = -123. What is the units digit of h? 9 Let y(l) = -212*l - 13. What is the hundreds digit of y(-4)? 8 Let q be (-4)/(-8)*(-64)/4. Let r = q + 31. What is the tens digit of r? 2 Suppose j + 4*k = 2446, 0 = -3*j + 2*k + 2117 + 5207. What is the units digit of j? 2 Suppose -6*x = -5*v - 8*x + 851, 3*x = 5*v - 836. What is the hundreds digit of v? 1 Let f(i) be the second derivative of -i**5/20 - i**4/2 + 11*i**3/6 + 5*i**2 + 2*i. Suppose -q - 2*h + 5 = 9, -4*q - 30 = h. What is the units digit of f(q)? 0 Suppose 15 = -d - 2*d. Let v(o) = -5*o + 7. Let t(k) = 1. Let r(f) = -t(f) + v(f). What is the units digit of r(d)? 1 Let h(c) = 2*c**3 + c**2 - c - 41. Let m be h(-5). Let g = -131 - m. What is the tens digit of g? 3 Let x(i) = 2*i**2 + 20. Suppose 0 = -25*l + 21*l + 28. What is the hundreds digit of x(l)? 1 Let k(z) = 50*z + 47. What is the hundreds digit of k(12)? 6 Let f(o) be the first derivative of -39*o**2/2 + 11*o + 20. What is the tens digit of f(-2)? 8 Let n = -23 + 8. Let y be 2/(-10) + 207/n. Let t = y + 15. What is the units digit of t? 1 Suppose 0*t - 4*t - 4*m - 56 = 0, -m = -t - 10. Let i = -12 - t. Suppose 4*d - 3*d - 53 = i. What is the units digit of d? 3 Let n = 10 - 0. Suppose -c + 0*c - n = 0. Let r(w) = -w**3 - 9*w**2 + 7*w - 9. What is the tens digit of r(c)? 2 Suppose -4*m + 4*h = -29 - 91, -5*h = -10. Let k = m + 43. Suppose 2*g - 5*g + k = 0. What is the tens digit of g? 2 Suppose -38 = -6*f - 62. Let k(u) = -20*u - 13. Let s(d) = -10*d - 7. Let h(m) = 6*k(m) - 11*s(m). What is the units digit of h(f)? 9 Suppose -9*z + 47322 = 24*z. What is the units digit of z? 4 Suppose 0 = 3*r + 24*r - 38394. What is the units digit of r? 2 Suppose v = 5*v + 3*d + 13, 2*v + 3*d + 11 = 0. What is the units digit of -2 + 214 - 0/v? 2 Let p be 1/(10/(-6) + 2). Suppose -p*b - 12 = -4*b. What is the units digit of (-6 - (-2 - 1)) + b? 9 Suppose 2*h + 4*c - 2 = 0, 0*c - 3*c = -4*h - 29. Let k = 8 + h. Suppose -2*y + x + 140 = 3*y, -15 = k*x. What is the units digit of y? 7 Let y(m) = m**3 + 2*m**2 - 4*m - 2. Let r be y(-2). Suppose r*g - 76 - 20 = 0. What is the tens digit of g? 1 Suppose -8*m = -3*m - 800. Let v = m - 57. What is the hundreds digit of v? 1 Suppose 9*a - 183 = 23217. What is the units digit of a? 0 Suppose 4*s + 2*o - 866 = 1548, s - 606 = -3*o. Suppose 0 = -x + 2*p + 131, 5*x + 2*p = -p + s. What is the tens digit of x? 2 Let y(z) be the third derivative of -23*z**4/24 + z**3/2 + 2*z**2. What is the units digit of y(-1)? 6 What is the tens digit of (-1440)/(-20)*59/1? 4 Let y(u) be the first derivative of -u**2/2 + 58*u - 12. What is the units digit of y(0)? 8 Let l(a) be the second derivative of -11/2*a**2 + 7/3*a**3 - 4*a + 0. What is the tens digit of l(4)? 4 Let m = 2291 + -642. What is the tens digit of m? 4 Suppose 3*b - 110 = 1582. What is the units digit of b? 4 Suppose -2*z = 4*f - 1610, -205 - 190 = -f + z. What is the units digit of f? 0 What is the units digit of ((4586/3)/(-1))/((-6)/9)? 3 Let a(v) = -v**2 - 6*v - 8. Let j be a(-12). What is the tens digit of ((-116)/(-10))/((-16)/j)? 5 Let q(u) = -u**2 + u + 11. Let v = 4 + -4. What is the tens digit of q(v)? 1 Let j be -1 - 0 - (-2 + -1). Suppose j*i - 4*a = -2 - 12, 5*i + 2*a = -83. Let f = 20 + i. What is the units digit of f? 5 Let x(m) = 5*m - 37. Let q be x(5). What is the units digit of (-2)/(((-9)/6)/((-333)/q))? 7 Suppose -22 = 4*g - 94. Suppose g = 7*a - 773. What is the tens digit of a? 1 Let k = -127 + 129. Let p(h) = 28*h**3 + 2*h**2 - 4*h + 4. What is the tens digit of p(k)? 2 Let t = 557 + 81. What is the hundreds digit of t? 6 Let d(k) = -3*k - 11. Let r be d(5). Let t = -7 - r. Suppose -t*s = -17*s - 66. What is the tens digit of s? 3 Let o(m) = -m**3 + 12*m**2 - 31*m + 8. Let b be o(9). Let n be (-12)/1*5/3. Let h = n - b. What is the units digit of h? 8 Let t = -7 + 12. Suppose k + t = -4. Let p(u) = -u**2 - 11*u - 4. What is the tens digit of p(k)? 1 Let g(b) = 5*b**2 - 14*b - 290. What is the thousands digit of g(19)? 1 What is the tens digit of (2 - 1) + (-8 - (-4 + -639))? 3 Suppose 967 + 865 = a. What is the tens digit of a? 3 Suppose -45*x = -42*x - 4047. What is the tens digit of x? 4 Let b(o) = -9*o - 2*o - o**2 + 6 + 0*o. Let f = 84 - 93. What is the tens digit of b(f)? 2 Let m(u) = -53*u**3 - 2*u**2 + u - 2. Let k(c) = -160*c**3 - 6*c**2 + 2*c - 6. Let z(h) = 4*k(h) - 11*m(h). What is the tens digit of z(-1)? 5 Let j(s) = -s**3 - 22*s**2 + 23*s - 10. What is the hundreds digit of j(-27)? 0 Let m = 9 + -3. Let b(k) = 2*k + 12. Let v be b(0). Suppose m*u - 90 = -v. What is the units digit of u? 3 Suppose -7*c = -4*s - 10*c + 1967, -2*c + 1962 = 4*s. What is the tens digit of s? 8 What is the units digit of 1001 - ((-16)/6)/(22/(-33))? 7 Suppose 0 = 34*f - 38*f - 5*o + 3165, -f = -5*o - 810. What is the tens digit of f? 9 Let b = -104 - -247. What is the units digit of b? 3 Suppose -3*z + 2554 = -2690. What is the tens digit of z? 4 Let g be (-191)/(-7) + 2/(-7). Let n(a) = -a**3 - 17*a**2 - 18*a + 13. Let z be n(-16). Let p = z - g. What is the tens digit of p? 1 Suppose -5*d + 4*a + 4053 = 0, 2*d - 1612 = 2*a - 5*a. What is the hundreds digit of d? 8 Suppose -5*c = -10 + 35. Let x(q) = -q**2 - 2*q + 2. Let a be x(c). Let p = a + 29. What is the units digit of p? 6 Suppose 4*x + 5 = 5*z, -3*z + 9 = x - 11. Suppose 9 = z*u - 8*u. What is the units digit of (-2)/u + (-1088)/(-24)? 6 Suppose -2*s - 750 = -2*h, -5*h - 3*s = 355 - 2190. What is the units digit of h? 0 Suppose 33*n = 8129 + 7546. What is the tens digit of n? 7 Let b be 4*(-3)/3 + (-114)/6. Suppose 2*l + d = 2*d + 113, 2*l - 116 = -2*d. Let x = l + b. What is the tens digit of x? 3 Let z(r) = 5*r**2 + 2*r + 2. Let n(m) = -m**2 + 2. Let s be n(2). Let d(l) = 4*l**2 + 2*l + 1. Let x(w) = s*z(w) + 3*d(w). What is the units digit of x(1)? 3 Let k(u) = 41*u + 842. What is the hundreds digit of k(16)? 4 Suppose 5*t - 15*i - 4661 = -17*i, -4*t = -3*i - 3738. What is the tens digit of t? 3 Let w = 127 - 44. Let h = w - 28. What is the units digit of h? 5 Suppose 2*z = g - 4, -z + 10 = 5*g - 10. Let l = g + -10. What is the tens digit of (-189)/(-6)*l/(-9)? 2 Suppose 0 = -2*h + x - 15, 5*h + 3*x + 40 = -14. Let i = h + 45. What is the tens digit of i? 3 Let m be ((-13)/(-2))/((-2)/(-4)). Let k = 8 + m. What is the units digit of k? 1 Let h = 59 + -55. Suppose -d - 2*l = -74, 4*l + 104 = h*d - 3*d. What is the units digit of d? 4 Let g = -149 - -124. Let n = 81 - 55. Let s = n - g. What is the units digit of s? 1 What is the hundreds digit of (-94)/(-235) - (-2398)/5? 4 Let g(z) = 4*z**2 - 18*z - 498. What is the hundreds digit of g(-19)? 2 Suppose -19*v + 15080 = 7*v. What is the
{ "pile_set_name": "DM Mathematics" }
+ 3675403)/5 Let -2*t**3 + 7314190*t**2 - 6687168262416*t - 6687175576608 = 0. Calculate t. -1, 1828548 Solve 27*i**4 + 492*i**3 - 813*i**2 - 7458*i + 7752 = 0. -19, -4, 1, 34/9 Factor 5*i**2/3 - 414540*i + 9948640/3. 5*(i - 248716)*(i - 8)/3 Solve 10985*y**4 + 408980*y**3 + 5706480*y**2 + 35366960*y + 82151600 = 0. -10, -118/13 Determine i, given that -i**3 - 11045*i**2 + 3404104*i + 6852380 = 0. -11345, -2, 302 Factor -2*q**2 + 1798*q - 109956. -2*(q - 833)*(q - 66) Factor -f**3/2 + 1005503*f**2 - 1011036283009*f/2. -f*(f - 1005503)**2/2 Find c, given that 3*c**2 - 820466214*c + 56097067359624483 = 0. 136744369 Find c, given that 3*c**4 + 67005*c**3 - 67008*c**2 = 0. -22336, 0, 1 Let -10*s**3 - 89104*s**2 + 39247870*s + 15713404 = 0. What is s? -9331, -2/5, 421 Determine j, given that j**3/2 - 175*j**2 - 12193*j/2 - 5921 = 0. -31, -1, 382 Factor -4*y**2/3 + 400288*y. -4*y*(y - 300216)/3 Solve -2*g**3 - 35482*g**2 + 1636404*g = 0 for g. -17787, 0, 46 Let -2*i**2/3 + 11716*i/3 - 515070 = 0. What is i? 135, 5723 Factor 4*d**3 + 2936*d**2 - 289344*d. 4*d*(d - 88)*(d + 822) Solve -z**4/5 + 40997*z**3/5 + 2668903*z**2/5 + 5214811*z/5 + 2586906/5 = 0 for z. -63, -1, 41062 Factor r**2 - 136182044*r + 4636387277004484. (r - 68091022)**2 Factor z**2 - 35067*z - 385858. (z - 35078)*(z + 11) Suppose 2*a**5 - 112*a**4 + 18*a**3 + 10188*a**2 + 27216*a = 0. Calculate a. -7, -3, 0, 12, 54 Determine j so that -5*j**5/3 + 3440*j**4/3 - 144500*j**3/3 - 178153360*j**2/3 + 714237760*j/3 - 714760960/3 = 0. -188, 2, 436 Determine h so that -5*h**5/4 + 7975*h**4/2 - 3195780*h**3 + 49727305*h**2/2 + 1426355365*h/4 + 759384300 = 0. -5, -3, 16, 1591 Let -26*c**2/5 - 2516*c - 1446096/5 = 0. What is c? -3846/13, -188 Find y, given that 15*y**5/4 + 16529*y**4/2 + 4577641*y**3 + 53280645*y**2/2 + 151089421*y/4 + 15701413 = 0. -1099, -4, -1, -13/15 Determine z so that -4*z**3 - 3891444*z**2 + 918547872*z - 54197610512 = 0. -973097, 118 Solve -a**4/2 + 553*a**3 - 127866*a**2 + 8197900*a + 34872976 = 0. -4, 146, 818 Determine b so that -4*b**3/3 - 4443752*b**2/3 - 17774960*b/3 - 17774944/3 = 0. -1110934, -2 Suppose -o**5 - 1350*o**4 - 6724*o**3 + 1362*o**2 + 22853*o - 16140 = 0. What is o? -1345, -4, -3, 1 Factor 16292*t**4/5 - 3*t**3/5. t**3*(16292*t - 3)/5 Let g**2/3 - 3405*g - 164208 = 0. What is g? -48, 10263 Determine k, given that 99*k**4 + 28137*k**3 + 1939764*k**2 - 1968000*k = 0. -164, -4000/33, 0, 1 Factor z**2 + 13971099*z + 27942194. (z + 2)*(z + 13971097) Factor 4*d**3/11 + 727986*d**2/11 + 363992*d/11. 2*d*(d + 181996)*(2*d + 1)/11 Factor 4*o**2 + 58896*o + 1000076. 4*(o + 17)*(o + 14707) Suppose -625*s**5/2 - 1270825*s**4/2 + 12596692*s**3 - 60076514*s**2 - 20202320*s - 1642400 = 0. Calculate s. -2053, -4/25, 10 Suppose 2*q**5/11 - 18*q**3/11 = 0. Calculate q. -3, 0, 3 Suppose -3*i**3/7 + 3303612*i**2/7 + 13214511*i/7 - 16518120/7 = 0. What is i? -5, 1, 1101208 Solve -2*x**3/7 + 347572*x**2/7 + 397240*x + 4171056/7 = 0 for x. -6, -2, 173794 Factor -2*u**3 - 1063200*u**2 - 4252776*u - 4252768. -2*(u + 2)**2*(u + 531596) Let -3*z**4 + 31317*z**3 - 80829522*z**2 - 4711423488*z + 4792221696 = 0. What is z? -58, 1, 5248 Solve -z**4 + 16667*z**3 - 67962417*z**2 - 12468326283*z + 246352599234 = 0. -193, 18, 8421 Determine d, given that 8*d**5/3 + 14966*d**4/3 - 36274*d**3 + 191494*d**2/3 - 116426*d/3 + 6260 = 0. -1878, 1/4, 1, 5 Suppose 5*q**4 - 4725*q**3 + 613960*q**2 - 19028100*q - 193957920 = 0. Calculate q. -8, 78, 797 What is s in -5*s**3 - 193285*s**2 + 15689720*s + 32152540 = 0? -38738, -2, 83 Solve 4*j**4 - 17304*j**3 - 7034204*j**2 + 14120304*j - 7068800 = 0. -376, 1, 4700 Suppose 14*h**5/5 + 1622596*h**4/5 + 47011126032*h**3/5 - 201504203776*h**2/5 + 53734948864*h/5 = 0. What is h? -57952, 0, 2/7, 4 Factor 2*f**2 - 21282*f - 13465520. 2*(f - 11240)*(f + 599) Suppose -3*n**2 + 1224795*n + 540718038 = 0. Calculate n. -441, 408706 Factor -4*u**2 - 94902184*u - 562901532998116. -4*(u + 11862773)**2 Let -1237*k**2/2 - 40261*k - 7605/2 = 0. What is k? -65, -117/1237 Suppose -22*v**4 + 143991*v**3 - 294371*v**2 - 418755*v + 19629 = 0. What is v? -1, 1/22, 3, 6543 Find c, given that 2*c**2/9 + 5290046*c/9 - 5290048/9 = 0. -2645024, 1 Solve -f**5 + 63484*f**4 - 2094138*f**3 + 16179716*f**2 + 18337339*f = 0 for f. -1, 0, 17, 63451 Determine m so that 3*m**4 + 1693734*m**3 - 32182152*m**2 - 69445494*m - 35569611 = 0. -564597, -1, 21 Find k such that 3*k**2 + 11853*k - 16982868 = 0. -5068, 1117 Find u such that -u**5/2 + 6169*u**4 - 147885*u**3/2 - 166394*u**2 - 86282*u = 0. -1, 0, 14, 12326 Factor 3*c**3/7 + 62877*c**2/7 + 1682370*c. 3*c*(c + 189)*(c + 20770)/7 Factor -2*f**3 + 4134*f**2 + 44124498*f - 119330084566. -2*(f - 3487)**2*(f + 4907) Suppose -2588469129*v**3 + 10353774762*v**2 + 407015*v + 4 = 0. Calculate v. -1/50877, 4 Let -3*z**2 + 419370*z + 19297368 = 0. What is z? -46, 139836 Factor -m**3/3 + 1513*m**2/3 + 415863*m - 661040919. -(m - 1323)**2*(m + 1133)/3 Factor -2*s**2 - 1563090*s + 59400308. -2*(s - 38)*(s + 781583) Solve 17*p**4/4 + 10565*p**3 + 79433*p**2/4 - 68307*p/2 + 3726 = 0. -2484, -3, 2/17, 1 What is s in 2*s**5 - 748*s**4 + 4334*s**3 + 30188*s**2 - 4336*s - 29440 = 0? -4, -1, 1, 10, 368 Factor -2*a**2 + 6007986*a + 24031976. -2*(a - 3003997)*(a + 4) Let n**4 + 29006*n**3 + 840528*n**2 + 5650290*n - 6519825 = 0. Calculate n. -28977, -15, 1 Determine d, given that 4*d**3 + 57320*d**2 - 1435404*d + 1378080 = 0. -14355, 1, 24 Let -o**5/4 - 8953*o**4/4 - 735473*o**3/4 + 6538009*o**2/4 + 3632265*o/2 = 0. Calculate o. -8870, -91, -1, 0, 9 Factor -5*d**2/2 + 2747445*d/4 - 4121145/4. -5*(d - 274743)*(2*d - 3)/4 Let -p**3/2 - 1775*p**2/2 - 17592*p - 73710 = 0. Calculate p. -1755, -14, -6 Factor t**2 - 2058046*t + 1058888334529. (t - 1029023)**2 Suppose 9*t**2/4 + 5495*t/2 - 64066 = 0. Calculate t. -1244, 206/9 Suppose -3*p**4/2 - 462*p**3 + 118647*p**2/2 - 452028*p + 888888 = 0. What is p? -407, 4, 91 Let 2*g**3/15 + 44918*g**2/15 + 4204988*g/15 + 548688 = 0. Calculate g. -22365, -92, -2 What is t in -4*t**4 - 1727840*t**3 - 186606719200*t**2 - 3731616048000*t - 18657216360000 = 0? -215970, -10 Solve 5*j**4 + 411725*j**3 + 11291817195*j**2 + 102886004082735*j - 7048591206757740 = 0 for j. -27471, 68 Let -a**2/4 - 245971*a/4 + 61493 = 0. Calculate a. -245972, 1 Let 3*l**3 + 324*l**2 - 64677*l - 2837250 = 0. Calculate l. -194, -39, 125 Suppose u**4/5 + 106831*u**3/5 - 2671353*u**2/5 + 5022209*u/5 - 2457688/5 = 0. What is u? -106856, 1, 23 Solve 2*i**2 - 60448272*i + 456749198473248 = 0. 15112068 Suppose -12*i**5 - 856*i**4 - 14784*i**3 + 10240*i**2 = 0. Calculate i. -40, -32, 0, 2/3 Solve -3*h**2 - 189474*h + 26014245 = 0. -63295, 137 Factor -p**4/6 - 1101040*p**3/3 - 404097094559*p**2/2 - 404095626507*p. -p*(p + 2)*(p + 1101039)**2/6 Find t, given that 3*t**5/4 - 17229*t**4/2 + 99118311*t**3/4 - 247218888*t**2 + 815194791*t - 888965388 = 0. 3, 4, 5738 Suppose -2*r**3 - 39460*r**2 - 3496446*r - 6835068 = 0. What is r? -19641, -87, -2 Let -3*f**2 - 68988*f - 2548449 = 0. Calculate f. -22959, -37 Solve -5*k**2 + 1341510*k + 50984600 = 0 for k. -38, 268340 Factor -2*y**3/9 + 4190716*y**2/3 - 16762856*y/3 + 50288560/9. -2*(y - 6286070)*(y - 2)**2/9 Factor -9*h**3 - 2127459831*h**2 - 1418306551*h - 236384425. -(h + 236384425)*(3*h + 1)**2 Determine p, given that -p**4/2 + 24114*p**3 + 2268973*p**2/2 - 1158600*p = 0. -48, 0, 1, 48275 Find j such that 25*j**4 - 39457*j**3 + 449232*j**2/5 - 113476*j/5 + 6304/5 = 0. 2/25, 1/5, 2, 1576 Factor -v**2/2 + 800385*v/2 - 400192. -(v - 800384)*(v - 1)/2 Factor y**3 + 480*y**2 + 3051*y - 122980. (y - 13)*(y + 20)*(y + 473) Factor m**2 + 122292*m + 1100547. (m + 9)*(m + 122283) Solve -2*h**4 - 214*h**3 - 1968*h**2 + 48664*h + 368480 = 0 for h. -94, -20, -7, 14 Determine n, given that -15*n**4 - 10180*n**3 + 106755*n**2 - 27660*n - 68900 = 0. -689, -2/3, 1, 10 Suppose w**4/10 - 2981*w**3/5 + 5352024*w**2/5 - 310283968*w - 2461635544576/5 = 0. What is w? -494, 2152 Determine k, given that 22*k**4 + 2638*k**3 + 77532*k**2 - 9472*k - 70720 = 0. -68, -52, -10/11, 1 Determine r, given that 57*r**3 + 1172445*r**2 + 1419204*r + 246816 = 0. -20568, -1, -4/19 Factor 2*i**2/5 + 3761702*i/5 + 752340. 2*(i + 1)*(i + 1880850)/5
{ "pile_set_name": "DM Mathematics" }
at is 252 minutes after 6:13 PM? 10:25 PM What is 303 minutes before 9:19 AM? 4:16 AM How many minutes are there between 2:52 PM and 9:56 PM? 424 What is 128 minutes before 2:11 AM? 12:03 AM What is 103 minutes after 10:08 PM? 11:51 PM How many minutes are there between 10:50 AM and 9:14 PM? 624 What is 627 minutes before 10:03 PM? 11:36 AM What is 71 minutes before 4:42 AM? 3:31 AM What is 25 minutes before 7:51 PM? 7:26 PM What is 628 minutes after 2:36 PM? 1:04 AM What is 367 minutes after 10:59 PM? 5:06 AM What is 585 minutes before 8:40 AM? 10:55 PM How many minutes are there between 2:27 AM and 5:19 AM? 172 What is 611 minutes after 2:38 PM? 12:49 AM How many minutes are there between 3:19 AM and 1:16 PM? 597 How many minutes are there between 1:07 PM and 3:07 PM? 120 What is 488 minutes before 7:56 AM? 11:48 PM How many minutes are there between 5:14 PM and 9:51 PM? 277 How many minutes are there between 4:31 PM and 2:18 AM? 587 How many minutes are there between 9:52 PM and 9:41 AM? 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{ "pile_set_name": "DM Mathematics" }
-4*j + 12. Solve k*b = 3*b - 5*o + 12, -o + 9 = -2*b for b. -3 Let f be ((-20)/(-15))/(3*(-3)/(-27)). Suppose f*l - 2*o = -o + 25, 0 = -4*l + 5*o + 29. Solve -3*k - 5*d + 2*d = -9, -3*d = -l for k. 1 Suppose 0*g = 4*g - 72. Suppose -10*k + 12*k = g. Solve k = -d - l, l = -1 - 3 for d. -5 Suppose -3*n = -g + 46 + 11, 4*g - 258 = -3*n. Suppose g = 3*m + 18. Suppose 0 = -3*i - m, -2*q = -2*i + 7 - 25. Solve x + 2 = q*v + 1, -10 = -5*x + 5*v for x. 3 Let p(z) = -2*z**3 - 3*z**2 - 2*z + 2. Let f be p(-2). Suppose -4*x - 3*h - 15 = 0, 2*x - f = -2*x + 2*h. Solve 5 = -5*u + 5*i, 0 = 2*i - x - 6 for u. 2 Suppose -4*z = 2*q - 24, 0 = -6*z + 3*z + 5*q + 5. Solve 5*k + z*a = 10, -a + 10 = 4*a for k. 0 Let t = -28 + 31. Suppose -4*p + m - t*m - 42 = 0, 5*p = 2*m - 48. Let k = -10 - p. Solve -q + 10 = f, 2*f - 5 = q - k for f. 5 Let v(y) = 3*y + 4. Let k be v(-1). Solve -3*u + 6*u + k = -4*n, 5*u + n = 4 for u. 1 Let v(b) = b**2 - 21*b - 69. Let h be v(24). Solve 5*z - 12 = -r - 0, -h*z - 2*r + 3 = 0 for z. 3 Suppose 24*n - 45 - 171 = 0. Solve 5*m + 6 + n = y, 32 = -4*y - 3*m for y. -5 Suppose i = -3*c - i + 16, 25 = 4*c - i. Suppose 3*a - c*a + 36 = 0. Solve -2 - 2 = z - 2*f, 3*z + a = 4*f for z. -4 Let y be -5*1/((-5)/(-38)). Let w = 40 + y. Solve -s - 3*d = -12, s = w*s - d for s. 3 Let x(w) = w**3 + 10*w**2 - 3*w - 24. Let f be x(-10). Let p be 5*3/3 - 3. Let a be (2 + 13)*p/f. Solve 3*d = -2*c - 3, 2 = -5*d - 4*c - a for d. 1 Let w(o) = -o**2 + 2. Let q be w(6). Let s = q - -36. Solve -5*i = 3*n - 15, s*i - 6 = -n - n for n. 0 Suppose -73 + 85 = 3*x. Solve 0*g - 10 = -g + j, 45 = 5*g - x*j for g. 5 Let g(x) = x**2 - x - 1. Let a be g(-1). Suppose 4 = 12*c - 11*c. Suppose -3*d = 2*j - 2, -3*j - 9 = c*d + 2*j. Solve -a = 5*k - 2*s, 3*s - s = -d*k - 8 for k. -1 Let z(f) = -f**3 + 12*f**2 + f - 8. Let n be z(12). Suppose -2*q - q = -4*u - 5, -4*q + n*u = -8. Solve r = -q*p + 1 + 4, -5*r = -5*p - 25 for r. 5 Let h(o) = -o**3 + 33*o**2 + 107*o + 39. Let r be h(36). Solve -r*a = -3*g, 0*a = -2*g - 3*a - 10 for g. -2 Suppose -5*n = 4*s - 105, 22*s + 5*n - 65 = 20*s. Solve f - s = 4*x, 0*x = 4*f - 2*x - 10 for f. 0 Suppose -2*r = 2*r + 8. Let n be (0 - -16)/(80/(-40)). Let t be r/8 - 42/n. Solve -2*f + 19 = 5*c, 3*f + t*c - 15 = 2*c for f. 2 Let i = 7 - 4. Let a be (-11)/(-33)*(-6)/1. Let v be ((6/(-12))/(a/20))/1. Solve 2*z - v*d = -23, -3*z - z = -i*d + 25 for z. -4 Let p be (-202)/(-8) + 16/(-64). Let l = -21 + p. Solve -1 = 3*z - l*d - 9, 5 = -d for z. -4 Let f = 1722 - 1699. Solve -x = -0*c + 3*c - 11, -5*c - 4*x + f = 0 for c. 3 Let i(u) = 5*u + 120. Let j be i(-20). Solve -2*r - 4*y + 8 = 0, -5*r = 2*y + 3*y - j for r. 4 Let x be 6/9*(2 - -1). Suppose 5*y = x*y. Suppose -t + 7 - 3 = y. Solve -4*f + t = -l - 0*f, -5*l - f + 22 = 0 for l. 4 Let z be (6 + 3*(-42)/9)/(-2). Solve 29 = 6*j - j + 2*u, j = z*u - 3 for j. 5 Suppose -t - 2*t - 15 = 0. Suppose 2*r + 16 = -2*h, 3*h - 20*r = -16*r - 31. Let c = t - h. Solve -5*z = 13 + 7, -c*g = 2*z for g. 2 Suppose 2*i = 8 - 4. Let r = -189 - -191. Solve 5*x = -3*n + 3 + 27, -4*x + i*n = -r for x. 3 Let q(y) = y + 5. Suppose 3*x = j + 4 - 2, -5*x - 25 = 4*j. Let s be q(x). Solve 0 - 4 = p + 2*d, 5*p + 2*d = s for p. 2 Let z(c) = 2*c**2 + 58*c - 188. Let t be z(3). Solve 3*p = -5*q + 7 - 6, -t*p = q - 7 for q. -1 Let b = 2 + 14. Let c be (-12 + -84)/(-12) - (-4 + 2). Solve 2*d + 2*l = c, -2*l - b = -6*l for d. 1 Let b(y) = y**3 - 6*y**2 - 7*y + 5. Let d be b(7). Suppose s + 4*x = -0*s + 17, 0 = -5*s - 5*x + 25. Solve 2*p - s = -4*k + d, k = -5*p - 12 for p. -3 Suppose -5*f + 3*s + 8 = 0, 2*s - 4*s = f - 12. Suppose f*b = -9*b. Solve 3*n = -5*y - 0*n - 20, b = 3*n for y. -4 Suppose 2*n - 24 = z, -n = -0*n + 4*z - 21. Let r = 17 - n. Suppose -2*b - 2 = 0, -r*h - 2*b + 6 + 24 = 0. Solve 4*v + 8 = -4*i, -2*i + h*v - 4 = 3*v for i. -2 Suppose 3*n = 11 + 10. Let r(o) = 4*o + 26. Let l be r(-6). Solve -f + n = l*u, u = -3*f - 4 - 0 for u. 5 Suppose 0 = -236*o + 231*o + 20. Suppose 0 = -2*d - 4 + 12. Suppose -d*b = -6 - 6. Solve b*x + g - 1 = 0, o*x - 1 = 2*g - 13 for x. -1 Suppose 0*o - 2*g - 13 = -3*o, -22 = -2*o + 4*g. Solve 4*v + 0*v - h = 17, v + 5*h = -o for v. 4 Suppose -195 + 50 = -5*z. Let v = z + -26. Solve 0 = -5*d + 2*f - 0 + 16, 11 = d - v*f for d. 2 Let z = 9 + -6. Suppose -f = -4 - z. Suppose -12 = -11*w + f*w. Solve 0*b + 2*b + 9 = w*c, -c = -b - 3 for b. 0 Let i(z) = z - 4. Let f be i(7). Suppose 4*s - 19 = -f. Let x be s/36*3*9. Solve 3*o + x*t - 16 = -o, 0 = -o + 3*t + 4 for o. 4 Suppose 66 = 53*r - 93. Solve -l + r*n = -3*l + 8, 5*n = 4*l - 16 for l. 4 Let h = -1718 + 1721. Solve 3*i = 3*p + 21, -h*i = -i - 4*p - 22 for i. 3 Suppose 19*o = 223 - 185. Solve -5*n + 7*d = 6*d + 18, o*n = 4*d - 18 for n. -3 Let h be -6*((100/6)/5 - 4). Solve h*d = 4*n - 28, -2*d + 4*n - 6 = 6*n for d. -5 Let v = 1680 - 1677. Solve 0 = -3*o + 5*l - 3, 0*o = -4*o - v*l - 4 for o. -1 Let n(k) = -k. Let s be n(-7). Let o = -3 + s. Suppose y = -2*x + 1, -o*y + 5 = -2*x - 19. Solve 6*a - 2*a - 21 = -5*p, -4*p = y*a - 24 for p. 1 Let t(w) = 9*w + 84. Let s be t(-9). Let f = 14 + -5. Suppose -f = -4*k + k. Solve 0 = -0*v - s*v + 5*g + 12, -k*g = 9 for v. -1 Suppose -f + 2*f - 5 = 0. Solve -4*s - 17 = b, 3*s - 5*b + f = -2 for s. -4 Let v be (-2)/(((-2)/(-7))/((-35)/(-49))). Let k be -3*1/3 - v. Solve 3*t = b - 11, 5*t - 4 = k*b - 34 for t. -2 Suppose 54 = 25*h - 7*h. Solve 0 = -2*s - 5*r - 15, -3*s + r + 23 - h = 0 for s. 5 Let l(c) = c**3 + 8*c**2 - 2*c - 12. Let a be l(-8). Suppose -8 - a = -w. Suppose -3*y = y - w. Solve 3*h = -v + 9, -2*h = 8*v - y*v - 6 for h. 3 Let g be (9/(-6))/(66/(-88)). Solve -z - g*d + d + 1 = 0, 2*z = -5*d - 7 for z. 4 Let t(p) = p - 28. Let l be t(31). Solve 3*b + 5*h = -2, 4*h = l + 5 for b. -4 Let t be (-1)/((-2)/270) + 4. Let q = t + -134. Solve -3*n - 2*g + 2 = 0, -n = -q*n + 5*g + 18 for n. 2 Suppose -75*a = -79*a + 12. Solve -3*t - 11 = -2*b, 7*b = 2*b + a*t + 23 for b. 4 Suppose 0*v + 6 = v. Suppose b + 18 = 3*b. Suppose 0 = 7*p - 4*p - b. Solve -p*u - 6 = v*f - 2*f, u = 3*f + 11 for f. -3 Let i = -12 - 4. Let z be -2*2*4/i. Let x(j) = 4*j**3 - j**2. Let g be x(z). Solve 1 = 5*o + 3*c, -3*o + g*c + 1 = 10 for o. -1 Let s be 3*(-2 + (-24)/(-9)). Suppose 0 = u + s*u. Suppose -3*k + 2*k = -5. Solve u = k*x + 3*c - 8, 3*x - 6*c + 1 = -2*c for x. 1 Let a(v) = v**3 + 12*v**2 - 13*v + 7. Let c be a(-13). Solve -4*m = -2*d + 10, -5*m + 3*d = 6 + c for m. -2 Let p = 16 - 13. Suppose -3*h + 75 = p*o, 4*h - 24 = 5*o + 85. Let i = 3 - -1. Solve -i*t = -d - 18, -3*d + 7 = -5*t + h for d. 2 Let w be 105/(-4)*140/(-105). Solve 1 = 3*p + 4*d, 5*p - 2*p = 5*d - w for p. -5 Let d = 7 - -11. Suppose 0 = i - 6*i + 5*o - 10, 0 = 5*i - o + d. Let q = i + 9. Solve -3*c = -5*n + q, -3*c = 4*n - 4*c - 4 for n. 1 Suppose -3*z + 6*z = s - 4, -3 = z - 2*s. Let n be (1/(-1) - z)/(-3). Suppose n*w = -4*w - 2*j + 56, -j = -2. Solve 0*v - w = -5*v + u, -5*v + 7 = u for v. 2 Let t be 32/18 + -11*14/(-693). Solve 2*s = -2*v + t, 0 = 3*s - s - 2*v - 10 for s. 3 Let a(n) = -7*n - 32. Let y be a(-5). Let k be (-175)/(-56) - y/24. Solve -4*m + 5*m = -k*d + 20, 5 = -d + 2*m for d. 5 Suppose 4*w - 50 + 2 = 0. Suppose 2*c - w = 4*c. Let a = -2 - c. Solve -2*j - 2*j + 16 = -a*n, -2*n - j - 5 = 0 for n. -3 Suppose -4*l - 10 = -8*q + 6*q, 4*q - 10 = -2*l. Solve 5*t = 3*n - 5, -q*n - 2*t = -28 + 9 for n. 5 Suppose -a + t + 115 = 3*a, 45 = 2*a - 3*t. Let b be (3/5)/(a/100). Suppose -3*d + 3 = -b*d. Solve 4*y = y - d*o + 15, 0 = 3*y + o - 5 for y. 0 Suppose -62*h + 6 = -61*h. Suppose 5*w = -2*c - h, 3*c + 0*c + 2*w - 2 = 0. Solve 4*o + a = 2*o - 1, -2*o - 10 = -c*a for o. -2 Suppose 3*i + 27 = 30, 5*d - 3*i = 17. Solve 5*w + d = j, -2*w + j = -w for w. -1 Suppose -n = 2 - 6. Suppose 12*i - l = 8*i + 36, 5*i - 2*l - 48 = 0. Solve -2*t - n - i = -w, -20 = t - 4*w for t. -4 Let s(d) = -2*d + 20. Let c be s(10). Let m(f) = -3 - 3 - f + f**2 - 5*f + f. Let w be m(6). Solve w = -c*l + l + 3*z + 13, 4*z + 16 = 0 for l. -1 Let q be (-10)/8*(-19 + 11). Suppose -o + q = u, -3*u + 30 = 3*o - 5*u. Solve -15 = 3*z + 3*w, 8*w = 3*w - o for z. -3 Let t be 3/5 - (-156)/15. Suppose 0 = -5*j + 13 + 2. Suppose -a + j*a = 3*c - t, -5*c = 2*a - 29. Solve 0
{ "pile_set_name": "DM Mathematics" }
3*r - 2 = 143*q - 142*q for q. -5 Solve 3*q = -2*v - 3*v - 31, -22 = 4*v + q for v. -5 Solve 3*g + 5*i = 1, 4*g - 54*i = -50*i + 12 for g. 2 Solve 5*u + 133*n - 134*n = -107, -3*n - 9 = 0 for u. -22 Solve 4*o = -0*o - 12*b - 16, -3*b = -2*o + 28 for o. 8 Solve 0 = 5*m - 9*o + 187, -3 = -3*m - 227*o + 226*o for m. -5 Solve 1948*o - 1951*o = -3*t - 6, 4*t = 3*o - 3 for t. 3 Solve -2*h + 14 = 2*m, 4*h + 2845 = -3*m + 2873 for h. 7 Solve 5*i + 3*a + 32 = 0, 247*i = 248*i - 15*a - 56 for i. -4 Solve 2*o - 14 = -2*d, -152 = -3*o - 2*d - 134 for o. 4 Solve 462 = 2*z - y + 477, -y = 3*z + 10 for z. -5 Solve 0 = 2*u + 4*t - 3*t, -65*t + 64*t - 3 = -u for u. 1 Solve -60 = -141*h + 132*h - 3*j, 0 = -3*h + j + 16 for h. 6 Solve -j = -4*u + 156 - 135, 3*u = -2*j + 2 for j. -5 Solve -3*g - 15108*d = -15110*d + 7, -2*g = d for g. -1 Solve 3*h = -3*y + 6, 2*h + 7*h - 18 = -y for y. 0 Solve -2*g + 10 = -3*s, -5*g = -g - 4*s - 12 for g. -1 Solve 17*l - 21*l = -8, -63 = -3*s + 3*l for s. 23 Solve -3*k = -t + 48, -3*t + 2*k + 3851 - 3819 = 0 for t. 0 Solve -46125*h + 46121*h + 22 = -2*k, 3*h + 1 = -2*k for h. 3 Solve 2*i = h - 1 + 15, 12*h - 66 = -2*i for h. 4 Solve -m + 3240 = -5*t + 3190, 4*m - 65 = 5*t for t. -9 Solve -q - 1521 = n - 1525, 3*q - 4*n - 26 = 0 for q. 6 Solve 0 = 2*u - 11*c - 53, 80*c + 11 = -u + 78*c for u. -1 Solve -3*f + 410 = 3*c + 401, 2*c - 6 = 4*f for c. 3 Solve 43*c - 45*c - 22 = -2*p, 0 = -2*p - 4*c - 8 for p. 6 Solve -2799*s + 2795*s - 5*u = 50, 0 = 4*s - 3*u - 62 for s. 5 Solve -4 = -6*s - 0*s + 5*s - 2*p, -5*s = -3*p + 32 for s. -4 Solve -2*u + 5*u = -14*y + 50, 14*y - 20 = 9*y for u. -2 Solve 4*q = 4*t + 5*q + 5, 0 = 117*q - 113*q + 52 for t. 2 Solve -184 = -5*u - 3*x - 111, 3*x - 28 = 4*u for u. 5 Solve -334*n - 17 = -333*n - 4*r, -4*n + 5*r = 35 for n. -5 Solve -7*n = 4*b + 1, 2*n + 293*b - 290*b - 9 = 0 for n. -3 Solve -u + 255 = 2*u + 264, 0 = -q - u - 6 for q. -3 Solve -4*t - 8 = -n, 28 = -4*t + 4*n + 20 for t. -2 Solve 0 = 4*j - 3*u, 3*j - 114 + 111 = 3*u for j. -3 Solve -5*j + k = -27, 60*j + 3*k - 27 = 58*j - 23 for j. 5 Solve 4*u = 8*o - 3*o - 22, -2*o + 4 = 0 for u. -3 Solve -4*d + 1721 - 1753 = 4*o, -18*d = o + 93 for d. -5 Solve 0 = -2*t + 7*d + 23, -204*t - 11 = -200*t + 5*d for t. 1 Solve 81*p - 2*l = 76*p + 3, 2*l = p + 17 for p. 5 Solve -5957 = -3*q + 2*g - 5948, -4*g - 9 = 3*q for q. 1 Solve h = -7*y - 15, -h - 4*y - 9 = 3*y - 3*y for h. -1 Solve 0 = -2*u + 119*i - 114*i - 11, -8*u + 4*i - 28 = 0 for u. -3 Solve 4*u = -4*y + 2*y + 34, -u + 22 = 2*y for y. 9 Solve -2334*x + 2336*x - 38 = 5*s, 0 = 3*s + 2*x - 6 for s. -4 Solve -17*j = -36*j + 2*v + 70, 3*j - v - 9 = 0 for j. 4 Solve -51 = -3*a - 39, 5*d + 3*a = -3 for d. -3 Solve 2*z + 12 = -124*f + 126*f, 0 = 3*z + 3 for f. 5 Solve -75 = -3*r - 12*c, 0 = -3*r - 7102*c + 7106*c - 5 for r. 5 Solve 18 = 38*n - 34*n - 6*x, 5*n - 4*x = 19 for n. 3 Solve -13 = h + 205*k - 210*k, -9*h = 3*k - 27 for h. 2 Solve -3*w - 2*b - 25 = 0, 0 = -45*w + 50*w - 9*b + 17 for w. -7 Solve 0 = -s + 21*u - 19*u, -3*s + 2*u = -0*u + 12 for s. -6 Solve 1593*g = 1598*g + 4*u + 45, 2*g + 18 = -u for g. -9 Solve 80*x - 81*x + 4*i - 1 = 0, -7*x = 3*i + 38 for x. -5 Solve -49*f + 9 = -3*s - 45*f, -2*f + 4 = -2*s for s. 1 Solve -40*n - 9 = -35*n + 3*l, -l = -3*n - 11 for n. -3 Solve 9*h - 59 = 15*h + 5*t, -3*h + t = 5 for h. -4 Solve 20 = -h + 5*d, -6*h - d = -5457 + 5484 for h. -5 Solve -5*y + 3*s - 18 = 0, 14666*s - 14663*s = -3*y - 30 for y. -6 Solve -n - 5*m + 708 = 720, -3*m = -2*n + 28 for n. 8 Solve -m + 65*l = 69*l + 19, -4 = l for m. -3 Solve 10*s + 5*a = 20, s - 64093*a = -64091*a + 12 for s. 4 Solve v - 42658 = 4*t - 42690, 0 = -3*t + 21 for v. -4 Solve 5*b = 3*d - d - 3, -4*b = 4*d - 20 for d. 4 Solve 2*t + 14 = 5*z - 9*z, -t = -3*z - 13 for z. -4 Solve 76 = -4*g + 2*n + 88, -4*n = 5*g - 15 for g. 3 Solve 1 = r + 4*a, -23*r + 11*r - 2*a + 12 = 0 for r. 1 Solve 4*j = -4*h + 36, 2*j + 1014 = 2*h + 1028 for j. 8 Solve -5*n = 4*g - 46, -15 - 19 = -3*n + 4*g for n. 10 Solve 591*d - 589*d = 0, 20 = 4*i - 5*d for i. 5 Solve 3*q = -3, x - 2*q + 104 = 102 for x. -4 Solve -2*b + 4 = u - 0*u, -4*u - 58*b = -60*b - 26 for u. 6 Solve 1 - 8 = 3*i - 2*a, 6*a = -2*i + 10 for i. -1 Solve 5*q = i + 14, 11*q + 8*i = 16*q - 42 for q. 2 Solve 516*l + 3*t + 44 = 521*l, 3*l - 38 = -4*t for l. 10 Solve 4*o - 5*i = 20, 82*o - 44 = 86*o + 3*i for o. -5 Solve 4*n - 40 = y, -103*n + 106*n - 37 = -y for n. 11 Solve 0 = -2*b + 4*w - 179 + 205, 0 = -w - 6 for b. 1 Solve 5 = l + 4*i, -159 = -3*i - 156 for l. 1 Solve -3*z - 41*h + 18 = -37*h, -3*h + 7 = -z for z. 2 Solve 0 = 2*a + 4*f + 14, 83*f = -5*a + 87*f + 7 for a. -1 Solve -700*d + 31 = -702*d + f, -3*d + f - 46 = 0 for d. -15 Solve 2*f = -4*p - 36, -45*p + 5*f - 9 = -46*p for p. -11 Solve -2*s = -4*r - 13 - 21, 5*r - s = -41 for r. -8 Solve 17 = v + 2*c + 2*c + 1, 18 = 6*c for v. 4 Solve l = -n + 1, -6*l - 2*n + 2713 = 2711 for l. 0 Solve -12 = 14*q - 4*d, -5*q + 2756 - 2778 = 3*d for q. -2 Solve 54*p + 5*s = 52*p - 18, -4*p - 5*s - 26 = 0 for p. -4 Solve 0 = -4*n - 3*k + 39, 2*k - 27 = 529*n - 532*n for n. 3 Solve -5*b = 0, 4*f - 16 = -34*b + 36*b for f. 4 Solve -55*y + 51*y - 6 = -2*f, 23 = -2*y - 3*f for y. -4 Solve 4*h + 10 = 2*v + 6*h, -v + 30 = -4*h for v. 10 Solve -t = 47*o - 46*o + 4, -4*t = 5*o + 25 for t. 5 Solve 5*v = 158 - 148, 0 = -h - v + 7 for h. 5 Solve 0 = -3*w - k - 6, 4*w - 108*k + 33 = -101*k for w. -3 Solve 2389 - 2352 = -4*w - b, 0 = -5*w + 2*b - 56 for w. -10 Solve -t - 2*t + 80*v = 85*v - 2, 1 = v for t. -1 Solve 0 = -5*b - 2*r + 10, b + 29668*r = 29666*r + 10 for b. 0 Solve -5*u + 3*x + 33 = 21, -3*u + 4 = -x for u. 0 Solve 128 = -4*x + 20*y, 4*x = -34*y + 37*y - 43 for x. -7 Solve -4*b + f = 0, 50*b - 2*f = 52*b + 10 for b. -1 Solve 2*l - 5 = -1, 5*k - 3*l + 51 = 0 for k. -9 Solve -108*t = -2*n - 115*t - 10, 0 = -5*n - 2*t - 25 for n. -5 Solve 5*o = 11881*u - 11886*u - 20, 5*o - 4 = u for u. -4 Solve -2*m - c - 7 = 2, -15 = 4*m + c for m. -3 Solve 0 = p + 4*a + 13, 3*p - 50*a + 23 = -54*a for p. -5 Solve 3*m = -d - 14, -136 + 116 = 2*d + 4*m for d. -2 Solve -4*k = -3*x + 14, 2*x + k - 3*k - 8 = 0 for x. 2 Solve 400*p - 398*p = -3*q + 16, 0 = 2*p - 5*q - 16 for p. 8 Solve -210*y + 207*y - 9 = 0, 5*d - 5*y - 10 = 0 for d. -1 Solve -1187*n = 2*f - 1190*n - 11, 3*f = 3*n + 15 for f. 4 Solve -3*k + 25 = 5*y - 30, -2*y - 9 = -5*k for k. 5 Solve 4*b + 26 = 2*p, 27*b = 32*b + 25 for p. 3 Solve w + 3*o - 20 - 2 = 0, -w + 5*o - 50 = 0 for w. -5 Solve 8*y - 4*t = -12, -296*t + 293*t = -4*y - 5 for y. -2 Solve 4*b + 92*u + 13 = 97*u, 2*u = 3*b + 8 for b. -2 Solve -22 = 5*o - 3*o - 4*d, 3*d = 9 for o. -5 Solve 0 = -3*k - j - 1, -47 = -8*k + 5*j - 19 for k. 1 Solve 0 = p - 0*p - 5*h - 13, 15*p - 15*p - 2 = h for p. 3 Solve 2*p + 12 = 2*b + 6, 2*b - 3 = -p for p. -1 Solve -96*h - 3*p - 11 = -95*h, 4*p = 7*h - 48 for h. 4 Solve -3*g = 2*y + 25, 3*y - 964*g + 963*g + 10 = 0 for y. -5 Solve -5*l - 21*y = 180, 1041*l - 2*y = 1038*l - 35 for l. -15 Solve -3*u = -6*u - c + 14, -5*c + 30 = -5*u for u. 2 Solve 32*s + 9 = -10*s + 3*u, -2*s - 15 = -u - 12 for s. 0 Solve 0 = 5*i + 5*a + 65, -5*i - 64 = 47*a - 43*a for i. -12 Solve -5*b + 4*b = -d + 8, 5*b + 9*d = 58 for b. -1 Solve 28 = q - 10*g + 6*g, 8*g = -2*q - 8 for q. 12 Solve -2*r + u + 219 = 226, 3*u = -r - 21 for r. -6 Solve 0 = -2*j - 17*k + 13*k + 6, 2*j - 1 = k for j. 1 Solve 3*a - b = 26 - 21, 0 = a - 3*b + 1 for a. 2 Solve -n = -o - 21 + 26, o = -n + 1 for o. 3 Solve 0 = -2*s - 0*p + 5*p + 9, 59*s - 5*p = 54*s for s. -3 Solve -j - b + 316 = 332, 4*b - 8 = 3*j + 5*b for j. 4 Solve -3*w - 27 = -111*i + 115*i, -5*i + 2*w = -41 for i. 3 Solve 140*d + 32 = 136*d + 4*u, -5*d + 2*u - 28 = 0 for d. -4 Solve -8 = -2*l, 0*l - 7 - 30 = -5*u + 2*l for u. 9 Solve -3*b = n + 10, -33*n + 37*n + 5 = -5*b for n. 5 Solve -4*d = -p + 7, -2*d - 7416 = p - 7405 for p. -5 Solve 4*p = -4*d - 12, -3*d + p + 1092 - 1093 = 0 for d. -1 Solve 639*n = 641*n - 2*c - 16, 4*n = c + 23 for n. 5 Solve -5*o + 10*r + 433 = 468, -2*o = -2*r + 12 for o. -5 Solve -3*s + r + 137 = 124, 5*s - 2*r = 21 for s. 5 Solve 1750*s - 1746*s = c + 25, c = 2*s - 15 for s. 5 Solve -4*x - 115 = h - 68, -5*h = -5*x - 40 for h. -3 Solve -1073*d - 45
{ "pile_set_name": "DM Mathematics" }
t q? 4907946 What is the third derivative of 270*j**6 - 851*j**5 + j**4 - 1358274*j**2 wrt j? 32400*j**3 - 51060*j**2 + 24*j Find the first derivative of 44942*a**2*n**3 - 3*n**3 - 2140*n**2 - n wrt a. 89884*a*n**3 What is the third derivative of -110945*b**4 + 2*b**2 - 36034*b + 4? -2662680*b Find the second derivative of 327*i**3*m - 29*i**2*m + 4*i*m - 2*i + 1 wrt i. 1962*i*m - 58*m Find the third derivative of -577147*m**3 - 4942*m**2 + 66*m. -3462882 Find the second derivative of 5334*k**3 - 342*k**2 - 61211*k + 2 wrt k. 32004*k - 684 Find the second derivative of c**4*o**2 + 142885*c**2*o**3 - 234*c*o**3 - 11*c*o - c - o**3 + 8*o**2 wrt c. 12*c**2*o**2 + 285770*o**3 What is the third derivative of -4201*b**3 + 2*b**2 + 7580*b - 2 wrt b? -25206 Differentiate 3*v*y**3 + 711*v*y - 12*v + 2851*y**3 + 4*y**2 - 2 wrt v. 3*y**3 + 711*y - 12 What is the second derivative of 23864*w**3 - 2*w + 7452? 143184*w What is the third derivative of 980485*v**4 - 3*v**2 - 17331*v - 2 wrt v? 23531640*v Find the third derivative of -2*p**3*w + 292445*p**3 + 8*p**2*w - 16102*p**2 - 2*p*w wrt p. -12*w + 1754670 Find the third derivative of 4*n**4*u + 7*n**3*u + 39*n**3 + 13022*n**2 + 7*n*u wrt n. 96*n*u + 42*u + 234 Differentiate -300526*k*u - k + 244990 wrt u. -300526*k What is the derivative of 21121*k**4*p**2 - 2*k*p**3 - 195549*p**3 wrt k? 84484*k**3*p**2 - 2*p**3 Find the second derivative of 672*x**3 - 88*x**2 + 6*x - 30296 wrt x. 4032*x - 176 Find the third derivative of 82504*c**3*r - 38197*c**2*r - 2*c**2 wrt c. 495024*r What is the second derivative of -2763*t**3 - 20*t**2 + 2333*t? -16578*t - 40 What is the second derivative of -281*d*p**2 - 12*d*p + 27*d - 19*p**3 - 3*p**2 wrt p? -562*d - 114*p - 6 Find the third derivative of -4902*f**3*l**3*p - 7*f**3*l**2*p - 5*f**2*l**2 + 47*f*l**3 - 6*f*l*p + 6*p wrt f. -29412*l**3*p - 42*l**2*p What is the third derivative of 12952*j**5 - 2*j**4 + 10*j**2 + j + 23? 777120*j**2 - 48*j Find the second derivative of -5*v**4 + 3*v**3 + 13241*v**2 - 25541*v + 1 wrt v. -60*v**2 + 18*v + 26482 Find the second derivative of 175763*l**2 - 318378*l. 351526 What is the third derivative of -87740*j**3 - 2*j**2 - 99*j + 19? -526440 What is the second derivative of 678*g**3 - 151*g**2 - 469972*g wrt g? 4068*g - 302 Differentiate -373894*k**2 + 133480 wrt k. -747788*k Find the second derivative of -118589*a**3 - 180321*a wrt a. -711534*a Differentiate -4*d**2*k**2*z**2 + 3466*d**2*z**2 - 2*k**2*z + 3*z**2 + 28*z + 130 with respect to d. -8*d*k**2*z**2 + 6932*d*z**2 Find the second derivative of -2*r**3 - 321915*r**2 + 798761*r. -12*r - 643830 What is the first derivative of -435386*j**3*m**2 + 2*j*m**2 - 807*m**2 + 393*m + 1 wrt j? -1306158*j**2*m**2 + 2*m**2 What is the third derivative of -15*h**3*n - 1982*h**3 + 4*h**2*n + 17*h**2 + 433*h*n wrt h? -90*n - 11892 Find the third derivative of 66*m**2*u*y**2 + 14*m**2*u*y + 9*m**2*y**3 + m*u*y**3 + 89*m*u*y**2 - 2*m*y**3 - 56*y**3 wrt y. 54*m**2 + 6*m*u - 12*m - 336 Find the second derivative of -2802756*r**2 - 2775346*r wrt r. -5605512 Find the third derivative of 9416*m**4 - m**3 - 156482*m**2 wrt m. 225984*m - 6 What is the first derivative of -37559*b*x**2 + 2573*x**2 + 2*x wrt b? -37559*x**2 Find the third derivative of 2152884*g**6 - 892950*g**2 wrt g. 258346080*g**3 What is the second derivative of 443*v**4 - 2*v**3 + 2*v**2 + 6170*v - 2? 5316*v**2 - 12*v + 4 What is the third derivative of 13815*b**6 + 29001*b**2 wrt b? 1657800*b**3 What is the second derivative of 3531*y**3 - 1772*y + 4? 21186*y What is the second derivative of 480*d*j**2*v**2 - 4914*d*j**2*v + 3*d*j*v + 39*j**2*v**2 wrt v? 960*d*j**2 + 78*j**2 What is the second derivative of -46978*a**4 - 25912*a? -563736*a**2 What is the third derivative of -p**5 + 7221*p**3 + 16*p**2 - 2*p - 183? -60*p**2 + 43326 Find the second derivative of -13854*d**2*m**2*y**2 - d**2*m**2*y + 2*d*m*y**2 + 16*d*y**2 - 53*d*y + 2*m**2*y**2 wrt d. -27708*m**2*y**2 - 2*m**2*y What is the first derivative of 3*i**2*p**3 + 297388*i**2 + 15*p**3 - 10998 wrt i? 6*i*p**3 + 594776*i What is the second derivative of 106394*x**2 - 652883*x? 212788 What is the third derivative of -d**4 + 27033*d**3 + 6*d**2 + 5025*d wrt d? -24*d + 162198 What is the second derivative of 38*r**5 - 6360*r**4 + 41*r - 5390? 760*r**3 - 76320*r**2 What is the second derivative of -21333*j**2*s - 2*j**2 + 8*j*s - 21155*j wrt j? -42666*s - 4 Differentiate -430*h*l**2 - h*l - 848567*h + 2*l**2 + 33*l wrt l. -860*h*l - h + 4*l + 33 Find the first derivative of 2*v**4 - 15*v**3 - 422*v**2 - 12951. 8*v**3 - 45*v**2 - 844*v Find the third derivative of -3*q**3*s**3 - 10*q**3*s - 150*q**3 - 3*q**2*s + 80*q**2 - q*s**3 + 11*s**3 wrt q. -18*s**3 - 60*s - 900 Find the third derivative of 2*g**3*o**3 - 638*g**3*o + 786*g*o**3 - 24*o**2 wrt o. 12*g**3 + 4716*g Find the third derivative of -26692*g**3 - 2819*g**2 + 11*g + 3 wrt g. -160152 What is the derivative of 3*m**3*z - 3*m**2*z + 2458*m*z - 84630*z wrt m? 9*m**2*z - 6*m*z + 2458*z Differentiate -1843174*h + 929473. -1843174 Find the first derivative of 3*v**2*z + 222*v**2 + 2*v*z**2 + 37*v*z + 296727*z**2 wrt v. 6*v*z + 444*v + 2*z**2 + 37*z What is the first derivative of 1152200*k**4 + 678553 wrt k? 4608800*k**3 Differentiate -18237*x**2 + 3*x + 10259 with respect to x. -36474*x + 3 What is the second derivative of 342398*s**4 - 433488*s? 4108776*s**2 Find the third derivative of -76659*c**3 + 2*c**2 - 17905*c wrt c. -459954 What is the third derivative of 8*c**4*r - 4026*c**3*r**2 + 452*c**2*r**2 + 51*c**2 wrt c? 192*c*r - 24156*r**2 Find the second derivative of -4489*m**4 - 2*m**3 + 3*m**2 - 1270*m + 1. -53868*m**2 - 12*m + 6 What is the second derivative of 60*c**3 + 136*c**2 + 195711*c - 2? 360*c + 272 What is the derivative of 26316*b**4 - b - 76466? 105264*b**3 - 1 What is the third derivative of -4*o**6 - 2*o**5 + 175*o**3 + 22941*o**2 wrt o? -480*o**3 - 120*o**2 + 1050 Find the second derivative of 4841831*c**2*s**3*y**3 - 2*c*s**2*y**2 + c*s*y**3 - 59*s**3*y**2 - 4*s**3 - 45*s*y wrt c. 9683662*s**3*y**3 Find the third derivative of 51451*x**4 - 37364*x**2 wrt x. 1234824*x What is the third derivative of -3*z**6 + 6515*z**3 - 8*z**2 - 7*z + 15? -360*z**3 + 39090 Find the second derivative of 14*m**2*s**3 - 83878*m**2 - 418*m*s**3 - 153*m*s + s**3 wrt m. 28*s**3 - 167756 What is the third derivative of -115175*o**6 + 5*o**2 - 2726 wrt o? -13821000*o**3 What is the first derivative of 11*n**2*p*u**2*v + 2*n**2 + 2931*n*p*u**2*v + 254*n*p*u**2 - 36*p*u wrt v? 11*n**2*p*u**2 + 2931*n*p*u**2 Find the first derivative of -l**2*t + 36593*l**2*z - l*t*z + l*t - 2*l - 2374 wrt z. 36593*l**2 - l*t What is the first derivative of -6*b*n**2 - 1302*b*n + 22*n**2 - n + 47 wrt b? -6*n**2 - 1302*n Find the third derivative of -57*k**4*r**2 - 62*k**3*r**3 - 24*k**2*r**3 - 12*k**2 + 3*r**3 - 2 wrt k. -1368*k*r**2 - 372*r**3 Find the second derivative of -174371*f**2 - 19*f + 3093. -348742 Find the first derivative of 3*t**3*v**3 - 1157*t**3*v**2 + 35938*v**3 wrt t. 9*t**2*v**3 - 3471*t**2*v**2 Find the third derivative of 78*d**3*h**3 - 2*d**3*h**2*n + 20845*d**3*n + 2579*h**3*n wrt h. 468*d**3 + 15474*n What is the first derivative of -4*u**3 + 3*u**2 + 303*u + 26961? -12*u**2 + 6*u + 303 What is the second derivative of -720*c**3*t**3 + 4*c**3*t**2 + 3*c**3*t - 51*c**2*t + 2*c*t**2 - 8*c wrt t? -4320*c**3*t + 8*c**3 + 4*c Differentiate 2*f*l + 39*f - 328711*l - 4794 with respect to l. 2*f - 328711 Differentiate 2*f**2 + 6955*f - 39447. 4*f + 6955 Differentiate -2*j**4 + 78614*j**2*t**3 - 11*t**3 + 86*t**2 - 3*t - 16 with respect to j. -8*j**3 + 157228*j*t**3 Find the third derivative of -28*d**5 - 395*d**4 - 23115*d**2. -1680*d**2 - 9480*d What is the derivative of -6*a**2*q**2 + 27844*a**2 + 100940*q**2 wrt a? -12*a*q**2 + 55688*a What is the second derivative of 2*h**2*p**2 - h**2*p - 2967*h**2 - 671*h*p**2 + 7*h*p - 2*p wrt h? 4*p**2 - 2*p - 5934 What is the first derivative of 24205*f*w - 123*w - 49 wrt f? 24205*w Find the second derivative of -r**4 + 27*r**3 - 460*r**2 + 2*r - 18018 wrt r. -12*r**2 + 162*r - 920 Differentiate -2593563*u**3 - 4874559 with respect to u. -7780689*u**2 Find the second derivative of
{ "pile_set_name": "DM Mathematics" }
ich is smaller: -71611 or -1/9? -71611 Which is smaller: 1/4 or 4261933? 1/4 Which is smaller: -1349 or 23.8? -1349 Are -20963 and -20964 non-equal? True Does 385 = -0.345? False Is 2/101 greater than -1/384? True Which is smaller: 5501 or 5514? 5501 Which is greater: 0 or 2884/2301? 2884/2301 Is -70 bigger than -186? True Which is greater: -352/3449 or 0? 0 Do 5491 and 5435 have different values? True Which is bigger: -424743 or -424747? -424743 Is 3/40171 greater than 1? False Is -1/8 <= 635? True Which is smaller: 303/149 or 2? 2 Is 8740 at most -1/4? False Is -240282 >= -240294? True Is 4/423 greater than or equal to 66? False Is -1/2328798 > 1? False Which is smaller: -235264 or -235265? -235265 Which is smaller: 569 or 415? 415 Which is bigger: -1 or 1/6454831? 1/6454831 Which is greater: 175 or 382? 382 Is 1301 less than -999? False Which is smaller: -461741 or 1? -461741 Is 2113 bigger than 3294? False Is 2/1593 bigger than -30/23? True Which is greater: 1662/3523 or -1? 1662/3523 Is 130455 at most as big as 130455? True Which is greater: 1 or 3/358019? 1 Does -22881 = -22882? False Which is greater: 1 or 2/387003? 1 Is 1 greater than 131/95? False Which is bigger: -71439 or -4? -4 Is 0 at least -4/11479? True Is 48 bigger than -963? True Does 941 = 2/5? False Which is smaller: 95778 or 95779? 95778 Do 262520 and 262525 have the same value? False Which is bigger: -5766/37 or -2? -2 Is -2/2100781 < 0? True Is 0 less than -27/36439? False Which is smaller: -644/15899 or 1? -644/15899 Is 379635 <= 379635? True Which is greater: 6079/4 or -2? 6079/4 Which is greater: -2 or 44837? 44837 Is -13299 less than or equal to -13275? True Which is smaller: 849 or 844? 844 Which is bigger: -38169 or -3/5? -3/5 Is 1132/4275 equal to 0? False Are -5841796 and -5841796 equal? True Which is smaller: 5010 or 25054/5? 5010 Is -16370 greater than -16373? True Is -0.0594 less than or equal to 2/97? True Which is greater: -10006 or 3/2? 3/2 Which is bigger: 22717/308 or 74? 74 Are 1/4 and 4811034 unequal? True Which is smaller: 14253 or 114019/8? 114019/8 Which is greater: -1/10 or -13/400? -13/400 Which is smaller: -1 or -17/19560? -1 Are -71766 and -1/4 nonequal? True Is -4675 <= -4650? True Are 382934 and 1148798/3 nonequal? True Is -4679/2 bigger than -2340? True Which is smaller: 1128821 or 1128822? 1128821 Do -240 and -7466/31 have the same value? False Which is greater: 0 or -4/5882033? 0 Which is bigger: -2284 or 0.33? 0.33 Is 40 greater than -7356? True Is -24147 at most -24146? True Which is bigger: 1688124 or 1688127? 1688127 Is -5445 < -5434? True Which is greater: -146740 or -146742? -146740 Which is greater: 78853 or 78852? 78853 Is -76162 > -5? False Which is bigger: -31865 or -31864? -31864 Is 12929/5 at least as big as 2586? False Is -74437 smaller than -74436? True Is 504710 less than or equal to 504711? True Is 0.3 at most 89536? True Which is smaller: 30644 or 30643? 30643 Which is smaller: 2/417755 or 0? 0 Which is smaller: -14 or -11660/839? -14 Is 3.8 bigger than 335? False Which is smaller: -2 or -4202/1897? -4202/1897 Is -1/51054 greater than -4? True Are -17/7346 and 0 unequal? True Which is smaller: 44 or 1205/27? 44 Which is smaller: 1 or 730? 1 Which is bigger: 7 or 7536? 7536 Is -17052 >= -51155/3? False Which is smaller: -430902 or -430904? -430904 Which is greater: -152/1535 or 0? 0 Do 33 and -3/1171 have different values? True Which is greater: -4 or 709? 709 Is -732 < -34? True Which is smaller: 4480 or 21/2? 21/2 Is 0 at most -4/915? False Is -2529 greater than or equal to -2530? True Are 81162 and 81164 equal? False Do -91834 and -91828 have different values? True Is -49 not equal to 345? True Which is bigger: -33 or -3314/105? -3314/105 Is -2363/13 equal to -1/2? False Is -2898 >= 9? False Which is greater: -27 or -1610/57? -27 Is -373479 > -4? False Is 5884211 at most as big as 5884211? True Which is bigger: -10469 or 1.7? 1.7 Is 0 greater than or equal to -12/18479? True Which is smaller: 1 or 2/1348697? 2/1348697 Which is smaller: -0.352 or -2/741? -0.352 Are -2239 and -1872 non-equal? True Is 12971/13 greater than 999? False Is -1 greater than -1/795793? False Is 19938 < -6? False Do 1.9 and 130/1611 have different values? True Is -310/11 equal to 0.12? False Is 30965 < 30964? False Is -1526538/7 < -218077? False Which is bigger: -14.8 or -53/5? -53/5 Which is smaller: 1 or -128/12381? -128/12381 Which is smaller: -1.09 or -1884? -1884 Is -41521/41 at most as big as -1014? False Which is smaller: 6126 or 49005/8? 49005/8 Is -1 > 2/1647357? False Is -2/1683745 > 0? False Is 3091 greater than 1162? True Is -3/5 bigger than 96153? False Which is smaller: 0.178 or 10748? 0.178 Which is smaller: -2 or -72372? -72372 Does 1 = 3/1158172? False Which is smaller: 156087 or 156093? 156087 Is -103/14 <= 0? True Which is smaller: -0.3 or -19137.8? -19137.8 Is -0.04498 at least -1/40? False Is -2 less than -451/735? True Is 204/13 < -4? False Which is bigger: 9388 or 9386? 9388 Which is smaller: -1436430 or -1436431? -1436431 Which is smaller: 100642 or 2314752/23? 2314752/23 Which is smaller: 14/312763 or 1? 14/312763 Which is bigger: 7485 or 97306/13? 97306/13 Is -43068 less than -43063? True Is -55/9 greater than or equal to -9? True Which is greater: -112040/7 or -16007? -112040/7 Which is smaller: 789 or 594? 594 Which is greater: -1792/5643 or -1? -1792/5643 Which is bigger: 79 or -8/299? 79 Which is smaller: -10319 or -10332? -10332 Which is greater: -6679 or -6663? -6663 Is 278727/7 at least 39819? False Is 392/1787 less than or equal to -1? False Is 1 < -190306? False Which is smaller: 38447/10 or 3844? 3844 Is 1 <= 3958/1961? True Is 131997 greater than or equal to -1/4? True Are 2185 and 206 unequal? True Which is smaller: -37916 or -37923? -37923 Which is bigger: 3917 or -138? 3917 Is -901 >= -915? True Do 31/3387 and 1 have the same value? False Which is greater: -242901/13 or -18684? -18684 Is 0 < -2/3211187? False Is 72/19075 < 1? True Which is greater: -41135 or -41136? -41135 Is -1664/2471 not equal to -2? True Is 11449 at most 11388? False Which is bigger: -1452 or -2187? -1452 Is -1 greater than 14/170013? False Which is greater: 19 or 1300/71? 19 Is -322230/13 < -24787? False Which is bigger: 1727 or 1714? 1727 Is -432416 <= -432416? True Which is greater: 10 or 0.42432? 10 Is 33167 at least as big as 24? True Which is bigger: -5499 or -16501/3? -5499 Which is greater: 1404 or 1511? 1511 Which is bigger: -14567 or 330? 330 Which is smaller: -5189 or -5087? -5189 Which is smaller: -37.6 or 0.9? -37.6 Do -1222/53 and -1 have the same value? False Which is greater: 358.6 or -29? 358.6 Is 29604 != 29591? True Is -1014/473 <= -1? True Do -529146 and -529145 have the same value? False Are 3103 and 3077 equal? False Is -103451/11 equal to -9404? False Is 24/223 != -1/17? True Which is greater: 484/12223 or 0? 484/12223 Which is smaller: -20 or -703/12? -703/12 Are -11724 and -159 nonequal? True Does 6 = 1083/172? False Is 0.169 at least -139? True Is 175836 < 175836? False Which is smaller: 84 or -41? -41 Which is bigger: -1389856 or -1389857? -1389856 Is 0 less than -3/512335? False Which is bigger: -7375296/11 or -670482? -7375296/11 Is -45734 less than or equal to -45733? True Which is greater: -2/5 or -100173? -2/5 Which is smaller: -0.01979 or -0.2? -0.2 Is 620416 greater than or equal to 620416? True Which is bigger: 42 or -2917? 42 Are -1155 and -1114 unequal? True Is -3/4 at most as big as 701372? True Is -214537 not equal to -214537? False Which is smaller: 195 or 172? 172 Which is smaller: 2/1896779 or -1? -1 Which is smaller: 4325 or 627? 627 Is 2578 smaller than 2577? False Is 81963 at least 81965? False Which is bigger: 101637 or -10? 101637 Which is smaller: 8608 or 8596? 8596 Which is smaller: 768 or 2257/3? 2257/3 Which is greater: -5/91018 or 0? 0 Which is smaller: 0.47 or 15.44? 0.47 Is 0 less than or equal to 141/196? True Which is greater: 147 or 12867/88? 147 Which is bigger: 2024130 or 2024131? 2024131 Is 1 greater than or equal to -8/315281? True Is 79856 at most as big as 79860? True Are 5.6 and 2/55 equal? False Which is smaller: 1/163788 or 0? 0 Which is smaller: -4056 or 54? -4056 Is 38
{ "pile_set_name": "DM Mathematics" }
8 + c. Factor -3/4*p**2 + n*p**3 + 0*p + 0. 3*p**2*(p - 2)/8 Let x(g) be the second derivative of 3/20*g**4 + 1/100*g**5 + 1/2*g**3 - 245*g - 5/2*g**2 + 0. Factor x(l). (l - 1)*(l + 5)**2/5 Suppose 0*b - 5*b = -t - 2, 2*t + b = 7. Let x = 9895 + -9724. Solve x*c**3 + 128 - 163*c**t - 3*c**4 + 48*c**2 - 160*c - c**4 = 0. -4, 2 Let h(x) be the third derivative of -1/30*x**5 + 0 + 7/12*x**3 - 1/480*x**6 + 56*x**2 - 5/96*x**4 + 0*x. Factor h(s). -(s - 1)*(s + 2)*(s + 7)/4 Let z(k) be the second derivative of -k**5/20 + k**4/6 + 2*k**3/3 - 4*k**2 - 31*k + 21. Determine y, given that z(y) = 0. -2, 2 Factor 2/3*l**4 + 0 + 82/3*l**2 - 32*l**3 + 188*l. 2*l*(l - 47)*(l - 3)*(l + 2)/3 Let d be 1295/55 + -21 - 12/22. Let u be 1 + (-1 + 1 - -1). Factor 473*m**2 + 0 + u - 475*m**d. -2*(m - 1)*(m + 1) Factor -16 - 25*n**2 - n**3 + 55 - 33 - 33 + 53*n. -(n - 1)**2*(n + 27) Suppose 652*b**2 + 536*b + 68*b**4 + 4*b**5 - 3029 + 340*b**3 - 3255 + 6444 = 0. Calculate b. -10, -4, -1 Let s be -3 - 669/39 - (-16)/104. Let j be ((-4)/8)/(2/s). Factor 18*g**2 + 1/2*g**4 + j*g**3 + 28*g + 16. (g + 2)**3*(g + 4)/2 Let r = -123 - -139. Factor -2*i + 12*i**3 - 8 + r*i**4 - 66*i**5 + 8 + 35*i**5 + 37*i**5. 2*i*(i + 1)**3*(3*i - 1) Let y(n) be the first derivative of n**3/6 + 272*n**2 + 147968*n + 115. Factor y(w). (w + 544)**2/2 Let h = -496 + 65. Let m = -431 - h. Factor -1/4*d + 1/2*d**2 - 1/4*d**3 + m. -d*(d - 1)**2/4 Let u = 34 + -60. Let m = u + 28. Factor -8 + 2*j - 2*j - 38*j**3 + 6*j**m + 40*j**3. 2*(j - 1)*(j + 2)**2 Let r(w) = 13*w**2 + 10*w - 40. Let m = -140 - -185. Let c(u) = 145*u**2 + 110*u - 440. Let n(l) = m*r(l) - 4*c(l). Solve n(y) = 0. -4, 2 Let w be 56/(-8) + 229 + 13. Let n be 94/w + 24/15. Determine k so that -3/2*k**3 + 0 + 3/4*k**4 + 3/2*k - 3/4*k**n = 0. -1, 0, 1, 2 Suppose -37/5*o**3 - 39/5*o**2 + 4/5*o**4 - 4 + 92/5*o = 0. What is o? -2, 1/4, 1, 10 Let t(z) be the second derivative of -z**5/60 - 5*z**4/24 - z**3 + 65*z**2 + 7*z - 3. Let g(b) be the first derivative of t(b). Suppose g(u) = 0. Calculate u. -3, -2 Let a(y) be the second derivative of y**4/4 + 17*y**3 + 867*y**2/2 - 3*y - 269. Factor a(s). 3*(s + 17)**2 Let a(j) be the second derivative of j**4/66 - 107*j**3/33 + 106*j**2/11 - 2468*j. Factor a(x). 2*(x - 106)*(x - 1)/11 Factor -146688/7*y + 764/7*y**3 + 72194/7*y**2 + 73728/7 + 2/7*y**4. 2*(y - 1)**2*(y + 192)**2/7 Let u(d) be the third derivative of -d**9/15120 + d**7/1680 - d**6/720 - 15*d**5/4 - d**3/6 + 177*d**2. Let x(v) be the third derivative of u(v). Factor x(q). -(q + 1)*(2*q - 1)**2 Determine s, given that -20/7*s**4 + 432/7*s + 768/7*s**2 + 0 + 316/7*s**3 = 0. -6/5, -1, 0, 18 Find b, given that -1/3*b**4 - 131*b**2 - 43/3*b**3 + 1495/3*b - 1058/3 = 0. -23, 1, 2 Let w(n) be the third derivative of 8/9*n**3 + 75 + 2/45*n**5 + 2*n**2 + 5/18*n**4 + 0*n + 1/360*n**6. Let w(s) = 0. Calculate s. -4, -2 Let a(f) be the third derivative of f**5/40 + 157*f**4/8 + 24649*f**3/4 - 13*f**2 + 13*f. Find g, given that a(g) = 0. -157 Factor 198*y**2 + 8*y**2 + 2565*y + 19*y**3 + 6600 + 3*y**3 + 28*y**2 - 25*y**3. -3*(y - 88)*(y + 5)**2 Let r(m) be the third derivative of -26*m**5/75 + 127*m**4/30 + 2*m**3 - 612*m**2 + 3. Factor r(g). -4*(g - 5)*(26*g + 3)/5 Let k(y) be the second derivative of -27/40*y**5 - 1/30*y**6 + 0 + 0*y**2 + 45*y - 7/3*y**3 - 13/6*y**4 + 1/84*y**7. Determine o, given that k(o) = 0. -2, -1, 0, 7 Let p(m) be the third derivative of m**5/60 - 167*m**4/2 + 167334*m**3 + 23*m**2 - 10. Suppose p(t) = 0. Calculate t. 1002 Suppose -3/5*c**3 + 0 - 131043/5*c - 1254/5*c**2 = 0. Calculate c. -209, 0 Let v be (-22602)/(-63)*(-33)/(-22). Let j = -538 + v. Factor -2/7 - 3/7*f - j*f**2. -(f + 1)*(f + 2)/7 Let i(o) be the second derivative of -o**5/70 + o**4/14 - 4*o**2/7 + 2131*o. Factor i(k). -2*(k - 2)**2*(k + 1)/7 Factor -6550/3*f - 74/3*f**3 - 11125/3 + 1/3*f**4 - 420*f**2. (f - 89)*(f + 5)**3/3 Let l be 64630/16860 - 5/6. Factor 44*u - 1/2*u**4 + 18*u**2 + u**l + 32. -(u - 8)*(u + 2)**3/2 Suppose 0 = -26*f + 67*f - 1681. Solve -25*z**3 + f*z**3 + 72*z + 69*z**2 - 59*z**2 - 18*z**3 = 0. -4, 0, 9 Let k(j) = 24*j**4 + 16*j**3 - 40*j**2 + 4. Let a(i) = 67*i**2 + 1 + i**4 - i**5 + 8*i**3 - 7*i**3 - 68*i**2. Let y(r) = 4*a(r) - k(r). Solve y(w) = 0 for w. -3, 0, 1 Suppose -16*a - d - 3 = -13*a, -5*a + 51 = -3*d. Factor 12/5*p**2 + 4/5*p**a + 12/5*p + 4/5. 4*(p + 1)**3/5 Let j be (2/18)/((-3)/(81/(-3))). Let o be 20 + (-1340)/60 + 5*j. Factor 0*w - o + 2/3*w**2. 2*(w - 2)*(w + 2)/3 Let k(a) be the third derivative of 0*a - 3/4*a**5 - 1/24*a**6 + 0 + 15/2*a**3 - 126*a**2 + 5/24*a**4. Suppose k(l) = 0. Calculate l. -9, -1, 1 Let o(n) be the second derivative of -n**6/105 + 9*n**5/14 - 55*n**4/14 + 5*n**3/3 + 246*n**2/7 + 6320*n. Suppose o(g) = 0. Calculate g. -1, 2, 3, 41 Let x(s) be the first derivative of s**8/112 - s**7/35 - 3*s**6/40 + 41*s**2/2 - 42. Let c(k) be the second derivative of x(k). Factor c(i). 3*i**3*(i - 3)*(i + 1) Let g = -1801 - -1771. Let p be (-3)/(-13)*890/g - -7. Factor -p*w**3 + 0 + 6/13*w**2 + 0*w. -2*w**2*(w - 3)/13 Let t(r) be the third derivative of 1/180*r**5 + 0 - 2*r**2 - 7/24*r**4 + 29*r + 10/9*r**3. Let t(y) = 0. What is y? 1, 20 Let f(d) be the first derivative of 2*d**6/3 - 20*d**5 + 139*d**4 - 308*d**3 - 144*d**2 + 1296*d - 223. Suppose f(m) = 0. Calculate m. -1, 2, 3, 18 Let h(f) be the second derivative of f**8/560 - 3*f**7/280 + f**5/10 - 20*f**3/3 + 16*f - 6. Let v(b) be the second derivative of h(b). What is l in v(l) = 0? -1, 0, 2 Let n(u) = 5*u**3 - 75*u**2 - 30*u + 35. Let j(l) = l**3 - 38*l**2 - 13*l + 17. Let m(r) = 5*j(r) - 3*n(r). Suppose m(h) = 0. What is h? -1, 1/2, 4 Let j be (-2376)/3960*(-4 + 2 - 3). Factor 7/6*p**4 + 0*p + 0 - 45/2*p**j + 19/3*p**2. p**2*(p - 19)*(7*p - 2)/6 Suppose 4*s - 94 = -q, -3*s + 91 - 27 = 4*q. Suppose 2*f = -2*b, -2*f + 5*b = f - s. Solve -8*t**3 + 2*t + t**2 - 2*t**f + 9*t**3 = 0. -1, 0, 2 Let h(n) be the first derivative of -27 + 28/15*n**5 + 14/9*n**3 - 22/3*n**2 + 143/12*n**4 - 49/18*n**6 + 8/3*n. Find r, given that h(r) = 0. -1, 2/7, 2 Suppose -1622 = -316*x - 61*x - 114. Determine q so that 18/7*q**2 - 96/7*q**3 - 6/7*q**x + 300/7*q + 192/7 = 0. -16, -1, 2 Solve 7/3*f**4 + 8 + 82/3*f + 101/3*f**2 + 17*f**3 - 1/3*f**5 = 0 for f. -2, -1, 12 Let t be ((-10)/(-18))/(2005/7218). Let l(y) be the second derivative of 1/2*y**4 + 3 - 4*y**t - 1/10*y**5 + 0*y**3 + y. Factor l(a). -2*(a - 2)**2*(a + 1) Let o = 47172 + -47167. Determine j so that -18/11 - 6/11*j**o + 12/11*j**3 - 6/11*j - 18/11*j**4 + 36/11*j**2 = 0. -3, -1, 1 Let s(q) be the first derivative of q**7/180 - 23*q**6/540 + q**5/9 - q**4/9 - 3*q**3 - 3*q**2/2 - 18. Let c(h) be the third derivative of s(h). Factor c(o). 2*(o - 2)*(o - 1)*(7*o - 2)/3 Let i(r) = 6*r**3 - 92*r**2 - 20*r + 753. Let h be i(15). Factor -2/3*y**2 - 2/9*y**h + 0*y + 0. -2*y**2*(y + 3)/9 Let f = 67274/3 + -22413. Let j(b) be the first derivative of 15/2*b**4 - 27 - 10*b + f*b**3 - 55/2*b**2. Determine x so that j(x) = 0. -2, -1/6, 1 Let w be -57 + 54 + (1 - -3)*2. Solve -12*m**3 + 8*m**5 + 3*m**4 + 11*m**5 - 6*m**4 - 16*m**w + 12*m**2 = 0 for m. -2, 0, 1, 2 Let l(r) be the second derivative of r**5/10 - 5*r**4/3 + r**3/3 + 120*r**2 - 25*r - 4. What is n in l(n) = 0? -3, 5, 8 Let -1/5*o**4 + 37/5*o**2 + 4/5*o**3 + 68/5*o + 36/5 = 0. Calculate o. -2, -1, 9 Let a(m) = 183*m**3 - 159*m**2 + 34*m. Suppose 4 - 11 = l. Let y(h) = -364*h**3 + 317*h**2 - 67*h. Let t(p) = l*a(p) - 4*y(p). Factor t(c). 5*c*(5*c - 3)*(7*c - 2) Let n be 0 - 35 - (-6422)/182. Factor -4*j**2 - 50/7*j - 24/7 - n*j**3. -2*(j + 1)**2*(j + 12)/7 Let -3264/7 - 188/7*b**2 - 1600/7*b + 2/7*b**3 = 0. What is b? -4, 102 Let c(u) = 2*u**2 - 313*u + 2093. Let r be c(7). What is i in -1/4*i**5 - 1/4*i**2 - 3/4*i**3 + 0*i - 3/4*i**4 + r = 0? -1, 0 Let q(t) be the first derivative of 2*t**2 + 146 - 2/9*t**3 + 0*t - 1/6*t**4. Factor q(i). -2*i*(i - 2)*(i + 3)/3 Let q(l) be the second derivative of l**6/1980 - l**5/165 + 5*l**3/6 + 3*l**2 + 6*l + 2. Let c(n) be the second derivative of q(n). Suppose c(f) = 0. What is f? 0, 4 Let d(r) be the second derivative of r**5/10 - 15*r**4/8 + 9*r**3 - 12*r**2 - 2*r - 24. Let j(i) be the first derivative of d(i). Solve j(v) = 0
{ "pile_set_name": "DM Mathematics" }
+ 5))**2. 2180*sqrt(13) + 617837 Simplify (((sqrt(1377) + -1)*3 + sqrt(1377)*2*3)*-1)**2*4*6. -11664*sqrt(17) + 2677104 Simplify ((sqrt(240)/sqrt(8))/sqrt(10)*6 - -1*(0 + (sqrt(3) - sqrt(21)/sqrt(7)))) + 0. 6*sqrt(3) Simplify ((2*sqrt(140))/((sqrt(210)/sqrt(6))/sqrt(5)) + -3)**2. -24*sqrt(5) + 89 Simplify (3*((5*(2*sqrt(320) + sqrt(320)) - sqrt(320)) + sqrt(320)*-2*-2))**2. 933120 Simplify (sqrt(120)/(sqrt(576) + sqrt(36)))/(sqrt(30)/sqrt(3)*6 - -2*(sqrt(10) - sqrt(40)/sqrt(4))). sqrt(3)/90 Simplify (((-1*sqrt(320))/sqrt(8))/(sqrt(1400)/sqrt(7)))**2. 1/5 Simplify 5*(2 + sqrt(1008)*2 + 3 + sqrt(1008)*-1). 25 + 60*sqrt(7) Simplify (sqrt(66) + 1*sqrt(66)*3 + sqrt(66) - 2*sqrt(66)*4)/(sqrt(54)/(sqrt(18)/sqrt(2)*-3)). 9*sqrt(11) Simplify ((-4 + sqrt(200) + (sqrt(2) - (sqrt(2) - -4*sqrt(200))))*4)**2. 3840*sqrt(2) + 29056 Simplify (sqrt(104)/sqrt(8) + sqrt(13) + 5 + -5*sqrt(13) + 1 + 4)**2. -60*sqrt(13) + 217 Simplify (3*sqrt(396))/((sqrt(256) - sqrt(4))*-1). -9*sqrt(11)/7 Simplify (-2*-2*-2*sqrt(17)*-6 - (-4 + (sqrt(272) + sqrt(272)*2)*2))**2. 192*sqrt(17) + 9808 Simplify ((1*sqrt(150)*-1*2)/(-1*sqrt(432)*-2))**2. 25/72 Simplify (4*(-1 + sqrt(192) + 4)*2)**2. 3072*sqrt(3) + 12864 Simplify ((-4*sqrt(78))/sqrt(6)*-1)**2 + (4 + (sqrt(208) + sqrt(208) + -1 - sqrt(208)))**2. 24*sqrt(13) + 425 Simplify ((6*sqrt(96) - 1*sqrt(600))/(2*sqrt(300)*1))**2. 49/50 Simplify -2*(-5*sqrt(128) + 2). -4 + 80*sqrt(2) Simplify (2*-2*(sqrt(12)/sqrt(4) + sqrt(3) + sqrt(3) + -5 + sqrt(3) + (-2*sqrt(12))/sqrt(4)))**2*-3. -1776 + 960*sqrt(3) Simplify -2*(0 + -2*sqrt(75) + (sqrt(75) + 0)*-3 - ((sqrt(75) - (3 + 0 + sqrt(75) + sqrt(75))) + 3))**2. -2400 Simplify (((sqrt(22) - (-2*sqrt(22) - sqrt(22)))*-6 - sqrt(22))/(sqrt(11)*-2*3)*-2*2)**2. 5000/9 Simplify (2 + (sqrt(180) + 1 - sqrt(180)) + 5 + -2)**2. 36 Simplify -5 + (6*(sqrt(272) + sqrt(272)*2 + sqrt(272)) + -2 + ((1 + sqrt(272))*6 + sqrt(272) + sqrt(272))*-2)**2. -896*sqrt(17) + 17599 Simplify (((4*(-1 + sqrt(17)) - (0 + sqrt(425))) + sqrt(136)/(1*(sqrt(32)/sqrt(4) + sqrt(8) + sqrt(8))))*-5)**2. 400*sqrt(17)/3 + 5300/9 Simplify -1 + -5*sqrt(171)/(2*(sqrt(324) - sqrt(9))). -sqrt(19)/2 - 1 Simplify ((sqrt(9) + sqrt(27)/sqrt(75))/sqrt(3))**2 - (-3*(sqrt(144)/sqrt(3) + sqrt(48)))**2. -43092/25 Simplify (((sqrt(1088)*1 + sqrt(1088))*3 + sqrt(1088) - sqrt(1088)) + (2*sqrt(119))/sqrt(7) + (sqrt(17) + 1)*4)**2. 432*sqrt(17) + 49588 Simplify (sqrt(19) + (-4 + sqrt(114)/sqrt(6))**2)*-5 - sqrt(114)/(sqrt(6) - (sqrt(294) - (sqrt(294)*-1 - sqrt(294)))). -175 + 701*sqrt(19)/20 Simplify (-3*1*sqrt(8) - (-1*sqrt(242) - (sqrt(72) - sqrt(72)*2)))*-1. sqrt(2) Simplify (0 + -4*(4*2*sqrt(13) + -3))**2*-2. -26912 + 1536*sqrt(13) Simplify -2 + -3 + sqrt(36)/(sqrt(98) + (sqrt(98) - sqrt(98)*1 - sqrt(98)) + sqrt(98)). -5 + 3*sqrt(2)/7 Simplify (3 + -6*(sqrt(162) - (sqrt(162) - sqrt(162)*3)))**2 + -5. -972*sqrt(2) + 52492 Simplify (1 + sqrt(5)*2 + 2 + 6*(1 + sqrt(45)))**2. 360*sqrt(5) + 2081 Simplify ((5 + 3*sqrt(320) + sqrt(320) + 0 + 3 + (sqrt(320) - (-1*sqrt(320) - sqrt(320))))*-2)**2. 3584*sqrt(5) + 62976 Simplify ((sqrt(2800) - (-5*-1*sqrt(2800) + sqrt(2800))) + sqrt(2800) + sqrt(2800))/(-3*(sqrt(4) + (sqrt(4) - (sqrt(24) - sqrt(96))/sqrt(6)))). 10*sqrt(7)/3 Simplify (((sqrt(4356) - 3*sqrt(4356)) + sqrt(4356))*5)/(sqrt(36)/(5*sqrt(48) - sqrt(3))). -1045*sqrt(3) Simplify (sqrt(425)*3*-2)**2 - sqrt(204)/((sqrt(72)/sqrt(3))/sqrt(2)). -sqrt(17) + 15300 Simplify ((-2*sqrt(66) - sqrt(66) - sqrt(66))*2 - sqrt(66))/(sqrt(726) - (sqrt(726) + sqrt(726)*-1)) + ((sqrt(198)/(-2*sqrt(9)))/(-5*2*sqrt(2) - sqrt(2)))**2. -9*sqrt(11)/11 + 1/44 Simplify -4 + 3*((sqrt(304) - -5*sqrt(304))*4)**2. 525308 Simplify 1 + -1 + (-1 + sqrt(13)*-4 - (sqrt(104)/sqrt(8) + -4)) + -2. -5*sqrt(13) + 1 Simplify sqrt(96)/sqrt(3) + sqrt(20)/(1*sqrt(10)) + ((sqrt(8) + 1*sqrt(8) - sqrt(8)) + sqrt(8))/sqrt(4) + 5. 5 + 7*sqrt(2) Simplify (2*1*sqrt(187))/(sqrt(1100)*-4). -sqrt(17)/20 Simplify 2*(sqrt(1300) + 0) - sqrt(1300) - (sqrt(13)*-2 + 4 + -6*sqrt(117))**2. -5216 + 170*sqrt(13) Simplify ((-2 + sqrt(1331)*-2)**2 + (sqrt(1331) - (-1 + sqrt(1331) + 2 + sqrt(1331) + sqrt(1331))) + 3)*-6. -31980 - 396*sqrt(11) Simplify -3 + (sqrt(605)/(1*sqrt(11)) - sqrt(55))/(-6*-2*sqrt(5)) + -2 + -1. -6 Simplify (((sqrt(40) - (sqrt(40) - sqrt(200)/sqrt(5)))*-6 - sqrt(40))/(-3*(sqrt(32)/sqrt(4) + sqrt(8)))*-4)**2. 980/9 Simplify 3 + -4*(3 + sqrt(175)) + 4. -20*sqrt(7) - 5 Simplify (sqrt(117) + 1 + sqrt(117))**2 + (sqrt(13)*1)**2 + -1 - ((sqrt(13) - 6*(sqrt(325))**2) + -4*sqrt(13)*2). 19*sqrt(13) + 2431 Simplify (4 + sqrt(1900)*3)**2 - (3*(4 + sqrt(19))**2 + 1). 216*sqrt(19) + 17010 Simplify ((-1 + -1 + sqrt(1331)*-2 + -3 + sqrt(1331) + 3)*-3)**2. 396*sqrt(11) + 12015 Simplify (-4 + 1*(sqrt(3) - (sqrt(48) + 1)))**2 - 5*(sqrt(147) - (-3 + ((0 + sqrt(147) - sqrt(147)) + sqrt(147) - sqrt(147))))**2. -728 - 180*sqrt(3) Simplify (1*sqrt(180)*1)/(-4*sqrt(36)*-4). sqrt(5)/16 Simplify ((-3*sqrt(3888) + sqrt(3888))*-5 + sqrt(3888) + -3 + (sqrt(27) - (sqrt(216)/(sqrt(16)/sqrt(2)) + sqrt(27))))**2. -2358*sqrt(3) + 463356 Simplify 2*(((sqrt(180) + -1)*4)**2 - sqrt(180) - ((sqrt(320) + -1)**2 + sqrt(320) + -5 - sqrt(320))). -364*sqrt(5) + 5160 Simplify -3*(sqrt(190) - sqrt(190)*-4*2)/(sqrt(80)/(sqrt(8) + sqrt(8)*2)). -81*sqrt(19) Simplify 0 + 5 + -2*sqrt(13) + sqrt(13) + 2 - ((sqrt(637) - (sqrt(637) + 0))**2 + -1 + 4). -sqrt(13) + 4 Simplify -6*((sqrt(104)/(sqrt(8)*2 + sqrt(8)))**2 + (3 + 2 + sqrt(13) + sqrt(13))**2 + sqrt(13)). -1412/3 - 126*sqrt(13) Simplify 3*((sqrt(192) + -2)*-6 - (-1*sqrt(192)*3 - sqrt(192)))**2 + 5. -1152*sqrt(3) + 2741 Simplify ((sqrt(68) + 1 + sqrt(68))*3 + -5 - (4 + sqrt(68)*-1 + -1))**2. -140*sqrt(17) + 3357 Simplify (sqrt(3) + -2 + 5)*1 + ((sqrt(36) + sqrt(1296))/sqrt(12)*-4)**2 + 5. sqrt(3) + 2360 Simplify ((5*1*sqrt(64))/sqrt(8) + (sqrt(8) + (sqrt(64) - (sqrt(64) - (sqrt(64) + sqrt(64)*2)))/sqrt(8))*-3)*6. -84*sqrt(2) Simplify -2*(sqrt(540)*1)/(sqrt(50)/(1*sqrt(10)))*4. -48*sqrt(3) Simplify -3 + (-6*-6*-2*sqrt(119))/(sqrt(7) + 5*sqrt(21)/sqrt(3) + (sqrt(56)*1)/sqrt(8)). -72*sqrt(17)/7 - 3 Simplify ((sqrt(228) - 6*(sqrt(228) + sqrt(228)*3 + sqrt(228)))/(sqrt(588) - 4*sqrt(588)))**2. 15979/441 Simplify (6*(sqrt(325) + 5 + 3*sqrt(325))*4)**2. 115200*sqrt(13) + 3009600 Simplify (-5*(sqrt(187) - 1*sqrt(187)))/sqrt(11) - ((sqrt(119) + sqrt(119)*1 + sqrt(119) + sqrt(119))/sqrt(7) + sqrt(17) + 2)**2. -429 - 20*sqrt(17) Simplify 5 + (sqrt(468) + (sqrt(468) + -1)**2 + 1 - ((2*sqrt(39) + sqrt(39))/sqrt(3))**2*6). -227 - 6*sqrt(13) Simplify (-2*((sqrt(117) + -1)*4 + sqrt(117)) - (sqrt(117)*-2 + -2 + -2))**2. -576*sqrt(13) + 7632 Simplify -6*(sqrt(44) + sqrt(704)) - ((-1*sqrt(88)/sqrt(4) + sqrt(22))/sqrt(2))**2. -60*sqrt(11) Simplify (sqrt(1800)*-1 - sqrt(1800) - -2*sqrt(18)*3)/(-1*sqrt(726)*-2). -7*sqrt(3)/11 Simplify 1*(1*(4 + 2*sqrt(243) + sqrt(243) + -5))**2. -54*sqrt(3) + 2188 Simplify ((-3*sqrt(8))/sqrt(4) - (0 + -1 + sqrt(2)))*-4*-6*-6. -144 + 576*sqrt(2) Simplify (-4*-1*sqrt(605) - (sqrt(605) + 0 - sqrt(605))*-5 - (2*sqrt(605) + 1 + (-1 + sqrt(605))*3 + sqrt(605)))**2. -88*sqrt(5) + 2424 Simplify ((sqrt(18) - (sqrt(18) - sqrt(882)*1 - sqrt(18))) + (-3*sqrt(162) - sqrt(18)))/(-3*sqrt(96) - sqrt(6) - (3*(sqrt(6)*-1 + sqrt(6)) + sqrt(6))). sqrt(3)/7 Simplify (3 + 2*(sqrt(432)*-1)**2)*4. 3468 Simplify -2*((sqrt(16)/sqrt(4))/sqrt(2))**2 - -4*(-1 + sqrt(2))*-1. -4*sqrt(2) Simplify ((2 + sqrt(57)/sqrt(3) - ((1*sqrt(57))/sqrt(3) - sqrt(19))**2) + (sqrt(76)/sqrt(4) + 4 - ((sqrt(19) + (-1*sqrt(19) - sqrt(19)) + sqrt(19))*1)**2))*3. 18 + 6*sqrt(19) Simplify (2*(sqrt(133) - (sqrt(133) + -2*sqrt(133)))*-5)/(sqrt(63)/(sqrt(9)*-3)*1). 60*sqrt(19) Simplify ((sqrt(147) + 0)*1*-3)**2 - ((-1*(-1 + sqrt(147))**2 - sqrt(147)) + sqrt(147))*-3. 42*sqrt(3) + 879 Simplify -6*-1*-1*sqrt(396)*-4*5. 720*sqrt(11) Simplify (-3 + ((sqrt(384) - sqrt(24))*-5 + sqrt(24))/(sqrt(8) + -5*-2*sqrt(8)) + 1)**2. 56*sqrt(3)/11 + 1072/121 Simplify (-1 + 3*sqrt(2048)*1)**2. -192*sqrt(2) + 18433 Simplify (-1 + -5*(sqrt(19) + sqrt(19) + (sqrt(19) - sqrt(1216))))**2 + (sqrt(1539)*-2 + sqrt(1539))**2*3. -50*sqrt(19) + 16493 Simplify ((-3*sqrt(70)/sqrt(2) + 2*sqrt(560))/((sqrt(405) + sqrt(405)*1 + sqrt(405))*4 - sqrt(405)))**2*-5.
{ "pile_set_name": "DM Mathematics" }
3*4. 84*sqrt(2) Simplify ((1 + 2*sqrt(13))*5)**2. 100*sqrt(13) + 1325 Simplify 3*(sqrt(72)*6)**2. 7776 Simplify (sqrt(7) + sqrt(70)/(-2*sqrt(10)) - (3 + sqrt(847))**2) + -4. -860 - 131*sqrt(7)/2 Simplify -6*1*(sqrt(572)/sqrt(176))**2. -39/2 Simplify ((sqrt(209) - sqrt(209)*1*5)/(sqrt(44)/sqrt(4)*1))**2. 304 Simplify (-5*(sqrt(1700) + sqrt(1700)*-2 + 4))**2. -2000*sqrt(17) + 42900 Simplify -3*(1 + sqrt(72))*3. -54*sqrt(2) - 9 Simplify 3 + ((sqrt(21) - -2*sqrt(21))*-3)/sqrt(3). -9*sqrt(7) + 3 Simplify 2*sqrt(1100) + 3*sqrt(99)/sqrt(9). 23*sqrt(11) Simplify -3*(sqrt(242) + sqrt(242) + 3)**2. -2931 - 396*sqrt(2) Simplify (sqrt(100)/sqrt(5) - sqrt(35)/(2*sqrt(7)))*6. 9*sqrt(5) Simplify sqrt(99)/(-6*2*sqrt(9) + sqrt(9)). -sqrt(11)/11 Simplify (3 + sqrt(1331) + -3 + sqrt(1331) + sqrt(1331))**2 + 1. 11980 Simplify sqrt(13) + (sqrt(13) + sqrt(208) + sqrt(13))*5 - sqrt(143)/sqrt(176). 123*sqrt(13)/4 Simplify sqrt(153)/((sqrt(648) - sqrt(18))/sqrt(2) - sqrt(9)). sqrt(17)/4 Simplify (sqrt(44)*-5 - (-1 + sqrt(55)/sqrt(5))) + 0. -11*sqrt(11) + 1 Simplify ((sqrt(175) + 0)*4 + 0)**2. 2800 Simplify (sqrt(133)*-1 + sqrt(133))/sqrt(7)*3. 0 Simplify ((sqrt(160)/(sqrt(8)*-2 - sqrt(8)))/(sqrt(10) + (sqrt(160)*1 - sqrt(160))))**2. 2/9 Simplify (sqrt(200) - (sqrt(200) + sqrt(200) + 1)*2)**2. 120*sqrt(2) + 1804 Simplify (-4*(0 + sqrt(612)))**2. 9792 Simplify ((sqrt(162) + 2)*-4 + sqrt(162))**2 + -5. 432*sqrt(2) + 1517 Simplify sqrt(18)/(sqrt(72)/sqrt(3) + sqrt(6)) + (((sqrt(3) + -1)*5)**2 - (sqrt(528)/sqrt(11))**2). -149*sqrt(3)/3 + 52 Simplify (sqrt(102)*-1*-2)/(sqrt(12)/sqrt(2)*-6). -sqrt(17)/3 Simplify 5*((sqrt(42)/sqrt(6)*2 - sqrt(7)) + -2*sqrt(7) + -3). -15 - 5*sqrt(7) Simplify (-1 + sqrt(1372)*-2 + sqrt(28))**2. 52*sqrt(7) + 4733 Simplify sqrt(304) + 2 + -4 + -5*(sqrt(304)*1 + sqrt(304) + sqrt(304))**2. -13682 + 4*sqrt(19) Simplify -5*(sqrt(7) - sqrt(252))**2 + sqrt(112) + sqrt(112)*-1. -875 Simplify ((2*sqrt(264))/sqrt(12))/((sqrt(22)*1)/sqrt(2)). 2*sqrt(2) Simplify (sqrt(175) - ((-4*sqrt(175) - sqrt(175)) + sqrt(175)) - (sqrt(7) + sqrt(7) + sqrt(14)/sqrt(2) + -5 + sqrt(7)))**2. 210*sqrt(7) + 3112 Simplify 2 + sqrt(108) + 1. 3 + 6*sqrt(3) Simplify (-2*sqrt(19)*-2)**2*1. 304 Simplify -1*(sqrt(85)*-1)/sqrt(5). sqrt(17) Simplify (-1*sqrt(3146) - sqrt(3146))/(sqrt(2) + sqrt(14)/(sqrt(7) + sqrt(35)/sqrt(5))). -44*sqrt(13)/3 Simplify (-5*(sqrt(539) + sqrt(539) + 0) + sqrt(539) + sqrt(539))**2*-4. -137984 Simplify (sqrt(119)/(sqrt(7) + sqrt(224)/sqrt(8))*4)**2 + 5. 317/9 Simplify 4 + ((sqrt(1053) + -2)*2)**2. -144*sqrt(13) + 4232 Simplify (5*sqrt(34)/sqrt(2)*2)**2. 1700 Simplify sqrt(190)/(5*sqrt(40)). sqrt(19)/10 Simplify (sqrt(114)/(sqrt(15)/sqrt(5)))/(sqrt(32) + sqrt(32)*-1 - sqrt(32) - sqrt(32)). -sqrt(19)/8 Simplify sqrt(117)/(sqrt(63)/sqrt(7)) + 2 + sqrt(91)/sqrt(7). 2 + 2*sqrt(13) Simplify (4 + sqrt(3) - sqrt(3))*-4 - sqrt(6)/sqrt(128). -16 - sqrt(3)/8 Simplify (sqrt(21) - -2*sqrt(84))/sqrt(7) - 2*(sqrt(12)*-2)**2. -96 + 5*sqrt(3) Simplify 2*((1 + sqrt(1088) + sqrt(1088))**2 - 6*(sqrt(51)/sqrt(3) + sqrt(17))). 40*sqrt(17) + 8706 Simplify 2*sqrt(245)*-5. -70*sqrt(5) Simplify (sqrt(57)/sqrt(3) + 5 + -2*(sqrt(19) + 0))**2. -10*sqrt(19) + 44 Simplify (-1 + (((sqrt(225)/sqrt(9) - sqrt(25)) + sqrt(25))/sqrt(5) - sqrt(5))*6)**2. 1 Simplify ((sqrt(204) + 2*sqrt(204) - sqrt(204))*-5 - sqrt(204))/sqrt(12). -11*sqrt(17) Simplify 1*(sqrt(98) - (-2*sqrt(98) + 3)). -3 + 21*sqrt(2) Simplify 2*sqrt(171)*3. 18*sqrt(19) Simplify (-4 + -1 + sqrt(288) + 2)**2. -72*sqrt(2) + 297 Simplify (sqrt(72)*-2)**2 - ((-1 + sqrt(2))*-4)**2. 32*sqrt(2) + 240 Simplify (sqrt(1088)*3)**2*4 + -5. 39163 Simplify (sqrt(76) + 1*sqrt(76)*-3)**2. 304 Simplify 1*sqrt(27) - ((sqrt(3)*2 - sqrt(3))*-1)**2. -3 + 3*sqrt(3) Simplify (-2*sqrt(26)*-3)/(sqrt(50) - (sqrt(50)*-2 + sqrt(50))) + -4. -4 + 3*sqrt(13)/5 Simplify -1 + (2*sqrt(76))/sqrt(4). -1 + 2*sqrt(19) Simplify (-5*sqrt(684))**2 + sqrt(1216)*-4. -32*sqrt(19) + 17100 Simplify ((sqrt(77) + 1*sqrt(77))*6)/(4*(sqrt(11)*-2 - sqrt(11) - sqrt(11))). -3*sqrt(7)/4 Simplify (sqrt(126)/sqrt(2) - sqrt(63))/sqrt(9) + sqrt(28) + -2. -2 + 2*sqrt(7) Simplify -3*(2*sqrt(19)*2*-3)**2. -8208 Simplify (-5*(1*sqrt(1900)*5 + sqrt(1900) + (sqrt(1900)*1 - sqrt(1900))*-2))**2. 1710000 Simplify (((1*sqrt(64))/sqrt(8))/sqrt(4))**2. 2 Simplify -6*(1 + sqrt(11))*3 + sqrt(22)/(sqrt(2) + sqrt(18)/sqrt(144) + sqrt(2) - sqrt(2)). -86*sqrt(11)/5 - 18 Simplify (-2*sqrt(5) + -3 + 3 + 4)**2. -16*sqrt(5) + 36 Simplify (-2*sqrt(76) + 0 - sqrt(76) - (sqrt(228) - 1*2*sqrt(228))/sqrt(12))**2. 475 Simplify (1*sqrt(275)*4)**2. 4400 Simplify (-3*sqrt(152)/sqrt(4))/(sqrt(4)/(sqrt(8)/sqrt(4))). -3*sqrt(19) Simplify ((-1 + sqrt(1584) - sqrt(1584))*4 - sqrt(1584))**2. 96*sqrt(11) + 1600 Simplify (0 + sqrt(18) - sqrt(2) - sqrt(8)/sqrt(16))**2. 9/2 Simplify (2 + sqrt(117) + 6*(sqrt(117) + -2) + sqrt(117) + 5)**2. -240*sqrt(13) + 7513 Simplify (-2 + sqrt(288))**2. -48*sqrt(2) + 292 Simplify (-6*(sqrt(130) - (sqrt(130) + sqrt(130) + sqrt(130)*2)) - sqrt(130))/((2*sqrt(70) + sqrt(70))/sqrt(7)). 17*sqrt(13)/3 Simplify sqrt(77)/(2*sqrt(7)) + 0. sqrt(11)/2 Simplify (-2*sqrt(121))/sqrt(11)*-2. 4*sqrt(11) Simplify (sqrt(832) + (-3 + sqrt(832)*-1)**2)*-1. -841 - 56*sqrt(13) Simplify (-3*sqrt(245) + (sqrt(5) - (sqrt(40)/sqrt(2))/sqrt(4)))*-6. 126*sqrt(5) Simplify sqrt(15)/((sqrt(9)*1)/sqrt(3)). sqrt(5) Simplify sqrt(209)/sqrt(176) + sqrt(76)/(sqrt(4) + sqrt(8)/sqrt(2)). 3*sqrt(19)/4 Simplify (sqrt(153) + 1 + 4)**2 - (3 + sqrt(272) + -1 + sqrt(272))**2. -914 - 2*sqrt(17) Simplify (1 + sqrt(832)*1 + 5)**2. 96*sqrt(13) + 868 Simplify (sqrt(891) - -3*sqrt(891))**2 + -1. 14255 Simplify (sqrt(171)/(sqrt(9) + 3*(sqrt(9) + sqrt(18)/sqrt(2))))**2. 19/49 Simplify 2 + (sqrt(136) - (sqrt(136)*-2 - sqrt(136) - sqrt(136)))/sqrt(8) + -1. 1 + 5*sqrt(17) Simplify (-2 + ((sqrt(7) + 1)*1 - sqrt(7) - (sqrt(112) + -1)) + -5)**2. 40*sqrt(7) + 137 Simplify -6*((-3*sqrt(288) + sqrt(288) - sqrt(288)) + sqrt(2)). 210*sqrt(2) Simplify sqrt(16)/((sqrt(8)*-3 + sqrt(8))*-3). sqrt(2)/6 Simplify sqrt(117)/(sqrt(18)/sqrt(2)) + (2 + sqrt(13))*6. 12 + 7*sqrt(13) Simplify (-5 + ((sqrt(245) + 0)**2 + sqrt(245) - sqrt(245))*6)*3. 4395 Simplify sqrt(19) + (-2*sqrt(133))/sqrt(7) + (0 + sqrt(76))**2. -sqrt(19) + 76 Simplify 2*(sqrt(7) + 1)**2 + (sqrt(77)/(2*sqrt(11)))**2. 4*sqrt(7) + 71/4 Simplify (2*sqrt(120))/(sqrt(10) + sqrt(10) + (sqrt(490) - sqrt(490)*2)). -4*sqrt(3)/5 Simplify 3*sqrt(26)/sqrt(2) - -6*(sqrt(13) - sqrt(117))**2. 3*sqrt(13) + 312 Simplify 1*sqrt(176) - (sqrt(11)*3 + -1). 1 + sqrt(11) Simplify (-2*(1 + sqrt(117)/(1*sqrt(36)/sqrt(4))))**2. 8*sqrt(13) + 56 Simplify 2 + (sqrt(245) - sqrt(5)) + sqrt(10)/(sqrt(2)*-1). 2 + 5*sqrt(5) Simplify (-2*2*sqrt(832)*2)**2. 53248 Simplify (sqrt(19) + sqrt(304) + 2)**2 - 3*sqrt(19)*-1. 23*sqrt(19) + 479 Simplify 4 + (-2 + (sqrt(13) - sqrt(1872)) - sqrt(13))**2 + 1. 48*sqrt(13) + 1881 Simplify 4*(-5*sqrt(132)/sqrt(3))**2. 4400 Simplify 3*((4 + 2 + sqrt(2))**2 + (sqrt(2) - (sqrt(250)/sqrt(5))**2)). -36 + 39*sqrt(2) Simplify 6*(2 + sqrt(10)/sqrt(2) - ((sqrt(5) - (sqrt(5) + -1)) + -4))**2. 60*sqrt(5) + 180 Simplify (-4*(sqrt(1280) + 1 + sqrt(20) + sqrt(20)))**2. 640*sqrt(5) + 32016 Simplify 5*(sqrt(704) + 0 + sqrt(704) + -1)**2*-1. -14085 + 160*sqrt(11) Simplify (1*sqrt(405) + -2 + sqrt(405))**2 + (sqrt(405) - (6*2*sqrt(405) - sqrt(405)))**2. -72*sqrt(5) + 42124 Simplify 5*(-1*sqrt(76))**2 + (sqrt(76) + -1)**2*-5. -5 + 20*sqrt(19) Simplify (-3*(sqrt(28) + sqrt(140)/sqrt(5) - sqrt(28)))/(sqrt(128)/sqrt(2)). -3*sqrt(7)/4 Simplify (sqrt(468) - (sqrt(468) + 0 + sqrt(468))**2) + sqrt(468) + 5. -1867 + 12*sqrt(13) Simplify (-5*-1*sqrt(1053) + sqrt(1053))**2*1. 37908 Simplify sqrt(17) + sqrt(17) + (sqrt(17) + -3)**2 + -2 - ((sqrt(425) + 1)**2 - sqrt(17) - sqrt(17)). -402 - 12*sqrt(17) Simplify (6*(-1 + sqrt(1100))*-2)**2. -2880*sqrt(11) + 158544 Simplify sqrt(96)/(sqrt(36)/sqrt(12)). 4*sqrt(2) Simplify -2 + (sqrt(242) - sqrt(2)) + 5. 3 + 10*sqrt(2) Simplify 1 + sqrt(171) - (-1 + sqrt(1900))**2. -1900 + 23*sqrt(19) Simplify sqrt(171)/(sqrt(9) + (sqrt(54)*1)/sqrt(6)). sqrt(19)/2 Simplify -3*(sqrt(1936) - ((sqrt(1936)*2 - sqrt(1936)) + sqrt(1936) + sqrt(1936)))/(sqrt(64)/sqrt(128)). 264*sqrt(2) Simplify ((-
{ "pile_set_name": "DM Mathematics" }
f 2*z**3/3 + 12. Calculate m(g(l)). 8*l**4 + 32*l**3 + 32*l**2 Let m(b) = 4*b. Let j(v) = -4388578*v. Determine m(j(d)). -17554312*d Let z(t) = -11*t - 16 + 16. Let b(g) be the first derivative of -5*g**4/24 - g**2/2 - 14*g + 23. Let f(x) be the second derivative of b(x). Calculate f(z(p)). 55*p Let q(d) = -23403*d - 23390*d + 46796*d. Let a(i) = 31*i**2 - 6*i + 6. Let m(l) = -2077*l**2 + 403*l - 403. Let u(j) = -403*a(j) - 6*m(j). Give q(u(z)). -93*z**2 Let c(r) = 10*r**2. Let p(i) = -69702349*i**2. What is p(c(h))? -6970234900*h**4 Let q be 125/20 - 21/(-28). Let l(b) = -17 + q*b + 3*b - 2*b - b + 11. Let t(f) = -3*f**2. Calculate l(t(o)). -21*o**2 - 6 Let q(g) = 2. Let v(u) = -2*u + 8. Let y(z) = 14*q(z) - 2*v(z). Let s(c) = c + 2. Let m(a) = -6*s(a) + y(a). Let x(f) = -7*f**2. Calculate x(m(b)). -28*b**2 Let q(t) = 7*t - t + 4*t - 5*t. Let y(d) = -d**2 - 124. What is y(q(r))? -25*r**2 - 124 Let p(z) be the first derivative of 3*z**5/20 + 7*z**2 + z - 56. Let x(h) be the second derivative of p(h). Let a(u) = 6*u**2. What is x(a(k))? 324*k**4 Let y(c) be the second derivative of 1/12*c**4 + 0*c**3 - 43*c + 0 + 0*c**2. Let x(m) = -8*m**2 - 7*m. Determine x(y(r)). -8*r**4 - 7*r**2 Let v(m) = -29*m + 49. Let c(k) = 9*k**2 - 5*k + 20. Let g(r) = 13*r**2 - 7*r + 28. Let d(i) = -7*c(i) + 5*g(i). What is d(v(y))? 1682*y**2 - 5684*y + 4802 Let m(y) = 315*y**2 + 239*y**2 - 556*y**2. Let r(c) = -342*c. Give m(r(x)). -233928*x**2 Let f(p) = p**2 + 6*p + 6. Let j(v) be the second derivative of -1/6*v**3 + 0 - 1/2*v**2 - 3*v. Let k(w) = -f(w) - 6*j(w). Let d(g) = -12*g. Calculate d(k(t)). 12*t**2 Let n(z) be the third derivative of z**5/12 - 99*z**2. Let t(q) = -35*q - 29*q - 7 - 9*q + 7. Calculate t(n(b)). -365*b**2 Let y(d) = 7*d**2 - 15*d + 20. Let n(u) = 4*u**2 - 9*u + 12. Let a(x) = -5*n(x) + 3*y(x). Let s(f) be the first derivative of -9/2*f**2 + 0*f - 3. Give s(a(k)). -9*k**2 Suppose -w + 3 = 4*u + 8, -2*u = -4*w + 16. Let d(p) = w*p**2 - 4*p**2 + 6 - 6. Let j(g) = 22*g - 3. Give d(j(n)). -484*n**2 + 132*n - 9 Let n(m) = -92*m. Let y(s) be the second derivative of 5*s**4/2 + 522*s + 2. Calculate y(n(l)). 253920*l**2 Let f(q) = -4*q**2. Let x(j) = -10*j + 57. Let s be x(6). Let y(z) = -10*z**2 - 6*z. Let t(r) = 21*r**2 + 14*r. Let c(k) = s*t(k) - 7*y(k). Calculate f(c(m)). -196*m**4 Let b(q) = 10*q**2. Let r(k) = 201*k - 424*k + 228*k + 207*k. What is r(b(v))? 2120*v**2 Let x(n) = -195*n. Let s(j) = 4*j**2 - 140*j - 20. Let t(q) = 7*q + 1. Let b(u) = -s(u) - 20*t(u). Determine b(x(h)). -152100*h**2 Let l(m) = -2921*m - 4. Let p(r) = -5373*r - 7. Let n(v) = -11*l(v) + 6*p(v). Let f(a) be the second derivative of a**4/4 - 2*a. Give f(n(i)). 34347*i**2 - 1284*i + 12 Let h(m) be the second derivative of -m**5/20 + 157*m**2/2 - 4*m - 6. Let d(z) be the first derivative of h(z). Let g(x) = -67*x**2. Give g(d(v)). -603*v**4 Let a(d) = -4 - 10*d**2 + 17*d**2 + 4 + 0. Let l(b) = 3*b - 41. Calculate l(a(z)). 21*z**2 - 41 Let x(k) = -19*k**2. Let p(t) be the second derivative of 35*t**4/12 + t**3/3 - 1852*t. Give p(x(f)). 12635*f**4 - 38*f**2 Let n(v) = 792*v**2 - 32*v + 48. Let l(x) = -794*x**2 + 36*x - 54. Let p(h) = 8*l(h) + 9*n(h). Let z(b) = -7*b**2. Determine z(p(i)). -4215232*i**4 Let x(h) = 2*h**2. Let n(k) = 607404*k**2. Calculate x(n(p)). 737879238432*p**4 Let d(x) = 1922688*x. Let c(i) = -i**2 - 464*i. Determine d(c(a)). -1922688*a**2 - 892127232*a Let h(w) = -7*w. Let n(o) be the second derivative of -o**7/210 + 5*o**4/4 - o**3/3 - 30*o. Let i(y) be the third derivative of n(y). Calculate i(h(c)). -588*c**2 Let q(b) = -2*b**2 + 8*b**2 - 7*b**2. Let y(i) = -5*i + 10. Let w(g) = 4. Let t(k) = 3*w(k) - y(k). What is q(t(u))? -25*u**2 - 20*u - 4 Let q(t) = 2*t**2. Let p(j) = 62498402*j. Calculate p(q(b)). 124996804*b**2 Let q(l) = 77*l**2. Let k(m) = -171*m**2 + 63*m**2 + 68*m**2 + 69*m**2. What is q(k(c))? 64757*c**4 Let n(h) = -64*h. Let p(d) = d - 2132. Determine n(p(w)). -64*w + 136448 Let i(z) = -49*z**2 - 1470*z + 2. Let j(b) = -8*b**2. What is i(j(y))? -3136*y**4 + 11760*y**2 + 2 Let j(z) = z**2 - 13992*z. Let p(r) = -6065*r. Determine p(j(l)). -6065*l**2 + 84861480*l Let i(d) = -2*d. Let k(g) = -263*g**2 + 4*g + 9. Let x(r) = -789*r**2 + 12*r + 30. Let v(s) = -7*k(s) + 2*x(s). What is v(i(a))? 1052*a**2 + 8*a - 3 Let w(n) = -5*n. Let d(g) = -16777968*g. What is d(w(s))? 83889840*s Let a(z) = 0*z - 7*z + 2 - 7*z + 5*z - 4. Let u(k) = -31*k - 7. Let h(l) = -14*a(l) + 4*u(l). Let p(y) = 250*y. Give h(p(r)). 500*r Let f(b) = -8*b**2. Let k(q) be the third derivative of 0*q**3 + 0*q**4 + 0*q + 1/3*q**5 - 2 - 43*q**2. Give k(f(p)). 1280*p**4 Let j(b) = -682*b**2 - 366*b**2 + 1051*b**2. Let z(c) = -2809*c. Determine j(z(w)). 23671443*w**2 Let f(x) be the first derivative of -35*x**3 - 283. Let m(n) be the second derivative of n**4/6 + 7*n. Determine m(f(l)). 22050*l**4 Suppose -306*v - 6 = -309*v. Suppose -2*h = -0 - 8. Let x(n) = 4*n - v*n + h*n - 7*n. Let u(z) = 8*z**2. What is x(u(m))? -8*m**2 Let r(c) = -2*c**2. Let s(q) = 671*q**2 - 594*q**2 + 950*q**2 - 3527*q**2 - 3035*q**2. What is s(r(y))? -22140*y**4 Let l(g) = -18*g**2. Suppose -14 = -2*d - i + 7, 4*i - 20 = 0. Suppose 4*c = d*c. Let k(h) = 3*h - h - h + c*h. What is l(k(u))? -18*u**2 Let s(x) be the second derivative of -49*x**4/6 + 93*x. Let q(w) = 4*w. Calculate q(s(h)). -392*h**2 Let n(w) = 16*w**2 + 128. Let x(c) = 4. Let k(m) = -n(m) + 32*x(m). Let y(f) = -4*f + f - 7*f. Calculate k(y(g)). -1600*g**2 Let p(r) = 6*r**2 - 1. Let c(g) be the second derivative of -23*g**4/12 + 763*g. What is p(c(y))? 3174*y**4 - 1 Let j(h) = 20*h**2 - 8*h - 16. Let f(l) = 43*l**2 - 17*l - 34. Let b(w) = 8*f(w) - 17*j(w). Let k(x) = -641*x. What is b(k(s))? 1643524*s**2 Suppose 8 = 6*h - h + 2*k, 15 = 5*h - 5*k. Let f(j) = 1 - 55*j**h - 4 + 3 + 74*j**2. Let r(m) = 2*m. Give r(f(q)). 38*q**2 Let s be (-8)/(-3)*(7/2 - 5). Let k(n) = 7*n**2 - 10. Let y(j) = 3*j**2 - 4. Let i(l) = s*k(l) + 10*y(l). Let a(g) = 64*g. What is a(i(h))? 128*h**2 Let b(t) = 10*t. Let d(w) = -4*w + 1. Let y(h) = 4*h. Let a(m) = 5*d(m) + 4*y(m). Let i(k) = -4*k + 6. Let s(q) = -6*a(q) + 5*i(q). Calculate b(s(c)). 40*c Let u(t) = 2*t. Let j = -670 + 672. Let v(a) = -17*a**2 - 9*a**2 - 3*a**2 + 0*a**j. Calculate u(v(z)). -58*z**2 Let n = 411 + -113. Let v(c) = -292 - 6*c + 590 - n. Let j(b) = 6*b - 24*b + 8*b. Determine j(v(h)). 60*h Let j(h) = -6182*h. Let p(v) = 352*v - 3. Calculate j(p(l)). -2176064*l + 18546 Let t(p) = -32*p - 10538. Let a(s) = 2*s. What is t(a(c))? -64*c - 10538 Let s(d) = -7*d - 18. Let b(j) = -j - 5. Let u(y) = 1. Let o(l) = b(l) + 2*u(l). Let n(w) = -6*o(w) + s(w). Let v(g) = 77*g. What is n(v(f))? -77*f Let f(c) = 2*c - 49*c**2 + 3*c + 53*c**2 - 4*c - 3*c. Let i(v) = 25*v**2. Determine i(f(d)). 400*d**4 - 400*d**3 + 100*d**2 Let t(p) = 200*p - 51. Let n(c) = -71*c + 18. Let r(h) = -34*n(h) - 12*t(h). Let q(s) = 135 - 135 + 4*s. What is q(r(g))? 56*g Suppose -23*z + 14 = -78. Let u(w) = -2*w + 1 - 4 + 6 + 0 - z. Let g(b) be the first derivative of -2*b**3/3 - 2. Give g(u(l)). -8*l**2 - 8*l - 2 Let a(y) = -7*y**2 - 20*y. Let f(h) = 6*h**2 + 16*h. Let z(c) = 4*a(c) + 5*f(c). Let i(g) = -2 + 3*g**2 + 7 - 3 - 4*g**2. Calculate z(i(b)). 2*b**4 - 8*b**2 + 8 Let b(u) = -4*u. Let n(a) = -18299*a - 3. Determine n(b(v)). 73196*v - 3 Let x(n) = 185219644*n. Let l(u) = 2*u. What is l(x(c))? 370439288*c Let z(p) be the third derivative of -p**5/60 - 3041*p**2. Let f(i) = 2*i**2 + 348*i - 2. Give f(z(u)). 2*u**4 - 348*u**2 - 2 Let l(z) = -47*z**2 - 50*z + 25*z + 25*z. Suppose -4*b + 20 = -4*x - 12, 3*b - 24 = -4*x. Let q(d) = 2*d - b - 1 + 9. What is q(l(k))? -94*k**2 Let v(k) = -234*k**2 + 468. Let l(d) = -9. Let c(u) = -260*l(u) - 5*v(u). Let w(t) = -3*t. Determine w(c(x)). -3510*x**2 Let g(i) = -i. Let n(y) = -73*y - 26. Let m(t) = -4*g(t) + n(t). Let b(o) = -2*o. What is b(m(q))? 138*q + 52 Let d(f) = -3926*f. Let h(g) = 5*g**2 + 40*g + 8. Let o(r) = 2*r**2 + 15*r + 3. Let a(n) = -3*h(n) + 8*o(n). What is a(d(m))? 15413476*m**2 Let b(h) = -9824659*h**2. Let j(g) = g. Calculate b(j(c)). -9824659*c**2 Let b(y) = -21357475*y. Let z(g) = g**2. What is b(z(l))? -21357475*l**2 Let z(v) = -v - 5. Let x(j) = 4. Let n(p) = -
{ "pile_set_name": "DM Mathematics" }
ut replacement from niiwqinniqniwieee. 9/476 Calculate prob of picking 2 o when two letters picked without replacement from yoyyyyyyyoyy. 1/66 Two letters picked without replacement from yeyy. What is prob of picking 2 e? 0 Calculate prob of picking 1 w, 1 h, and 2 k when four letters picked without replacement from kpwzpkphpkk. 1/55 Four letters picked without replacement from nubbufubnuufu. Give prob of picking 1 n, 2 b, and 1 u. 36/715 Three letters picked without replacement from ukkkukuuhkud. Give prob of picking 3 u. 1/22 What is prob of picking 2 n and 1 s when three letters picked without replacement from nnnsinnnsnnnnnns? 99/280 Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {l: 1, z: 1, y: 8, v: 5, s: 2}. 1/136 Two letters picked without replacement from {m: 1, e: 4, p: 3, d: 3}. What is prob of picking 1 d and 1 m? 3/55 Four letters picked without replacement from jubbbjbbdnbbbbjbbbd. Give prob of picking 2 j and 2 u. 0 What is prob of picking 2 a, 1 h, and 1 k when four letters picked without replacement from {h: 3, k: 3, n: 1, a: 5, r: 3, j: 3}? 1/34 Three letters picked without replacement from {j: 1, u: 2, c: 3, q: 2, k: 4}. Give prob of picking 1 q and 2 k. 3/55 Two letters picked without replacement from pjjpjjpj. Give prob of picking 1 p and 1 j. 15/28 Two letters picked without replacement from cthccncccnch. What is prob of picking 1 h and 1 c? 7/33 Three letters picked without replacement from uvkuuauauubaauuuuvu. What is prob of picking 1 k, 1 v, and 1 u? 22/969 Calculate prob of picking 1 f, 1 e, and 1 r when three letters picked without replacement from fqlerrb. 2/35 Four letters picked without replacement from wwwwwrwwwwwwwwwwww. What is prob of picking 4 w? 7/9 Calculate prob of picking 1 g, 1 c, and 1 w when three letters picked without replacement from {a: 1, c: 2, y: 1, u: 4, w: 2, g: 4}. 4/91 Two letters picked without replacement from {d: 2, v: 1}. What is prob of picking 2 d? 1/3 Two letters picked without replacement from rqxkx. Give prob of picking 1 q and 1 k. 1/10 Calculate prob of picking 2 w, 1 a, and 1 g when four letters picked without replacement from {r: 3, a: 1, g: 3, w: 4}. 3/55 Calculate prob of picking 2 s, 1 u, and 1 h when four letters picked without replacement from uhssyy. 1/15 Calculate prob of picking 1 d, 1 l, and 1 h when three letters picked without replacement from {l: 1, r: 1, y: 2, b: 1, d: 1, h: 1}. 1/35 Calculate prob of picking 2 s and 1 z when three letters picked without replacement from ssssssszszs. 24/55 What is prob of picking 1 h and 1 n when two letters picked without replacement from {y: 8, h: 2, n: 4}? 8/91 Three letters picked without replacement from {w: 1, i: 2, s: 2, h: 1, v: 1}. Give prob of picking 1 v, 1 i, and 1 h. 2/35 What is prob of picking 1 o and 1 t when two letters picked without replacement from {o: 3, t: 7, v: 1, i: 1}? 7/22 Four letters picked without replacement from {y: 3, r: 3, s: 4, n: 3, e: 1, k: 1}. What is prob of picking 1 k, 1 y, and 2 s? 6/455 What is prob of picking 2 b when two letters picked without replacement from fffbbfbffb? 2/15 What is prob of picking 1 z and 2 s when three letters picked without replacement from {k: 1, s: 2, z: 3, d: 4, o: 2}? 3/220 Calculate prob of picking 1 j, 1 w, and 1 s when three letters picked without replacement from {w: 6, j: 8, s: 3}. 18/85 Three letters picked without replacement from xxxxxxmxmxx. Give prob of picking 1 m and 2 x. 24/55 Calculate prob of picking 1 b and 3 m when four letters picked without replacement from fbbbbbmbbmmbmmbf. 9/182 What is prob of picking 2 c when two letters picked without replacement from {k: 6, c: 3, o: 1, w: 1, y: 1, f: 1}? 1/26 Two letters picked without replacement from {c: 5, h: 3, e: 2, a: 2, i: 3}. What is prob of picking 2 a? 1/105 Two letters picked without replacement from {y: 1, j: 3, m: 2, k: 3, t: 1, z: 1}. What is prob of picking 1 t and 1 j? 3/55 What is prob of picking 1 e and 1 w when two letters picked without replacement from weweg? 2/5 Two letters picked without replacement from {g: 5, c: 1, d: 1, q: 6, w: 1}. Give prob of picking 1 d and 1 c. 1/91 Three letters picked without replacement from {k: 2, l: 5, u: 2, g: 3}. Give prob of picking 1 u and 2 k. 1/110 Four letters picked without replacement from {s: 1, v: 1, f: 2, t: 3, j: 4, y: 7}. What is prob of picking 1 v, 2 f, and 1 y? 7/3060 Calculate prob of picking 1 z, 1 c, 1 x, and 1 r when four letters picked without replacement from {z: 3, x: 2, r: 1, c: 1}. 6/35 Three letters picked without replacement from {c: 6, u: 8, a: 3}. What is prob of picking 2 u and 1 a? 21/170 Two letters picked without replacement from mqgvmqvvvqvqgmvvvvqv. Give prob of picking 2 m. 3/190 Calculate prob of picking 2 w and 2 g when four letters picked without replacement from {x: 2, j: 2, g: 2, w: 2}. 1/70 Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {p: 1, h: 9, z: 4, r: 2, f: 4}. 12/1615 What is prob of picking 1 z and 1 j when two letters picked without replacement from {q: 1, j: 2, z: 1, h: 2}? 2/15 What is prob of picking 1 t and 3 b when four letters picked without replacement from {g: 3, t: 5, b: 5}? 10/143 What is prob of picking 3 v and 1 k when four letters picked without replacement from {e: 7, k: 3, v: 8}? 14/255 Three letters picked without replacement from {h: 2, s: 3, o: 4, q: 10}. Give prob of picking 2 o and 1 q. 20/323 Two letters picked without replacement from {c: 6, x: 4, p: 3}. Give prob of picking 2 c. 5/26 Two letters picked without replacement from {b: 4, g: 7}. Give prob of picking 2 b. 6/55 Four letters picked without replacement from {c: 6, w: 6}. What is prob of picking 2 w and 2 c? 5/11 Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, l: 15}. 2/57 Calculate prob of picking 2 u and 1 a when three letters picked without replacement from {b: 5, g: 1, u: 7, a: 1, x: 5, d: 1}. 7/380 Four letters picked without replacement from ttptttttttttttt. What is prob of picking 3 t and 1 p? 4/15 What is prob of picking 1 j and 1 a when two letters picked without replacement from {s: 3, j: 4, a: 5}? 10/33 Four letters picked without replacement from qbqqxiqxqpqqlq. Give prob of picking 1 q, 1 p, 1 i, and 1 x. 16/1001 Four letters picked without replacement from {x: 7, d: 5}. Give prob of picking 2 d and 2 x. 14/33 Four letters picked without replacement from {t: 7, k: 1}. Give prob of picking 4 k. 0 Calculate prob of picking 1 y, 1 f, and 1 r when three letters picked without replacement from {f: 3, r: 1, y: 11}. 33/455 Calculate prob of picking 1 q and 1 z when two letters picked without replacement from rzwqmwrrrzrqwwrr. 1/30 What is prob of picking 3 p when three letters picked without replacement from pppppppppp? 1 Three letters picked without replacement from zmmmzyyzmbzmbybzm. Give prob of picking 1 b and 2 z. 3/68 What is prob of picking 1 g and 2 o when three letters picked without replacement from {g: 6, o: 2, h: 7}? 6/455 Two letters picked without replacement from boooboboobo. What is prob of picking 2 b? 6/55 Calculate prob of picking 2 b and 2 h when four letters picked without replacement from dhhbbdddbbhhedbbdbdd. 42/1615 Calculate prob of picking 3 p when three letters picked without replacement from {p: 4, t: 7}. 4/165 Four letters picked without replacement from riktrakitttkikraat. Give prob of picking 2 a and 2 i. 1/340 Two letters picked without replacement from {r: 8, t: 3}. Give prob of picking 2 r. 28/55 What is prob of picking 2 x and 1 a when three letters picked without replacement from xxxnanxnnnx? 2/33 What is prob of picking 2 t when two letters picked without replacement from {t: 7, i: 1, a: 12}? 21/190 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, o: 3, z: 3}. 1/7 Two letters picked without replacement from {t: 1, e: 2, n: 1, j: 2}. Give prob of picking 2 e. 1/15 Calculate prob of picking 1 m, 1 i, and 1 x when three letters picked without replacement from xxmixtxmtmtii. 18/143 Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {p: 3, w: 4, l: 1, o: 3}. 1/55 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
5 decimal places. -0.00067 What is 429287 rounded to the nearest 1000? 429000 What is 3480 rounded to the nearest 1000? 3000 Round -0.22028 to 2 dps. -0.22 What is -0.00096757 rounded to six decimal places? -0.000968 What is 4940 rounded to the nearest 1000? 5000 What is 0.000766 rounded to 4 decimal places? 0.0008 Round 7929 to the nearest one hundred. 7900 What is -10398 rounded to the nearest 1000? -10000 What is 0.000031805 rounded to seven dps? 0.0000318 What is 42000000 rounded to the nearest 1000000? 42000000 Round 0.0089813 to four dps. 0.009 What is 8102 rounded to the nearest 1000? 8000 What is -0.02553 rounded to three decimal places? -0.026 What is 64538000 rounded to the nearest 1000000? 65000000 What is 96.06 rounded to the nearest ten? 100 Round -13.8932 to zero dps. -14 Round -9.4966 to one decimal place. -9.5 What is 834700 rounded to the nearest 100000? 800000 What is -7317.6 rounded to the nearest 10? -7320 What is 0.0041281 rounded to four dps? 0.0041 Round 4.656 to zero dps. 5 What is 21310 rounded to the nearest 1000? 21000 Round 0.02431 to 2 decimal places. 0.02 What is 0.000103002 rounded to five decimal places? 0.0001 What is 12.244 rounded to 0 dps? 12 What is -0.00004243 rounded to seven decimal places? -0.0000424 Round -3816000 to the nearest 100000. -3800000 What is -103.304 rounded to the nearest 10? -100 What is 0.0121929 rounded to 5 dps? 0.01219 What is 731000 rounded to the nearest one hundred thousand? 700000 Round -4.179 to one dp. -4.2 What is 125.53 rounded to zero decimal places? 126 Round -4207600 to the nearest 100000. -4200000 Round 0.0000034 to 5 decimal places. 0 Round -0.000576 to 5 dps. -0.00058 What is 0.801 rounded to one decimal place? 0.8 Round 5582 to the nearest 1000. 6000 Round 13870000 to the nearest one million. 14000000 Round -319.8 to the nearest integer. -320 What is -160810 rounded to the nearest 10000? -160000 Round -0.000035669 to 6 decimal places. -0.000036 What is -0.0018461 rounded to 4 decimal places? -0.0018 Round -0.000000839 to seven decimal places. -0.0000008 Round -147.4 to the nearest one hundred. -100 What is -0.0061007 rounded to three decimal places? -0.006 What is -0.000000096832 rounded to 7 decimal places? -0.0000001 Round -0.0000303 to five decimal places. -0.00003 What is -0.012106 rounded to 3 dps? -0.012 What is 0.00000311 rounded to six decimal places? 0.000003 What is -6047000 rounded to the nearest 100000? -6000000 What is -0.00015534 rounded to six dps? -0.000155 Round 0.000041041 to seven dps. 0.000041 What is -73100000 rounded to the nearest one million? -73000000 What is 3960.8 rounded to the nearest 10? 3960 Round -0.109607 to 2 decimal places. -0.11 What is -34.557 rounded to 1 decimal place? -34.6 Round -6918400 to the nearest one hundred thousand. -6900000 What is -0.004674 rounded to 4 decimal places? -0.0047 What is -1893.78 rounded to the nearest 10? -1890 What is 10117000 rounded to the nearest 100000? 10100000 What is -1791630 rounded to the nearest 10000? -1790000 What is 857.85 rounded to the nearest ten? 860 Round -0.0000000091 to 7 decimal places. 0 Round 0.001861 to 5 dps. 0.00186 Round -0.00008447 to six decimal places. -0.000084 What is 3589000 rounded to the nearest 100000? 3600000 Round 0.212 to two decimal places. 0.21 What is 0.000007823 rounded to seven decimal places? 0.0000078 Round 6706000 to the nearest 100000. 6700000 What is -0.111 rounded to two dps? -0.11 What is 4.79 rounded to one decimal place? 4.8 What is 115.861 rounded to the nearest 10? 120 What is -10240 rounded to the nearest 100? -10200 Round 891000 to the nearest one hundred thousand. 900000 Round -30450000 to the nearest 1000000. -30000000 What is 5.77925 rounded to 1 decimal place? 5.8 Round -0.00000577 to six dps. -0.000006 Round 0.00033603 to six decimal places. 0.000336 Round -14174000 to the nearest one million. -14000000 Round -0.000045765 to 5 decimal places. -0.00005 Round -0.0001867 to five dps. -0.00019 Round -164000 to the nearest 10000. -160000 Round 0.00000053789 to 7 dps. 0.0000005 What is 13500600 rounded to the nearest one million? 14000000 Round 104740000 to the nearest one million. 105000000 Round 12.826 to 0 decimal places. 13 What is -0.01523 rounded to 2 decimal places? -0.02 Round -103.9 to the nearest 10. -100 What is 174700 rounded to the nearest 10000? 170000 What is 45435 rounded to the nearest 100? 45400 What is 0.27073 rounded to three decimal places? 0.271 What is 246560 rounded to the nearest 10000? 250000 Round 18653.3 to the nearest one hundred. 18700 What is -0.001646 rounded to 4 dps? -0.0016 What is -0.0004816 rounded to four decimal places? -0.0005 What is 0.0177003 rounded to 4 dps? 0.0177 What is 0.001074 rounded to 4 decimal places? 0.0011 What is -3.648 rounded to 1 decimal place? -3.6 What is -18.093 rounded to the nearest ten? -20 What is 958790 rounded to the nearest ten thousand? 960000 Round 183.9 to the nearest 10. 180 Round 0.0416 to 3 dps. 0.042 Round 1.492 to one dp. 1.5 What is -9.726 rounded to 1 decimal place? -9.7 Round -42350 to the nearest 10000. -40000 What is -138010 rounded to the nearest 1000? -138000 Round -0.0022327 to 5 dps. -0.00223 What is -107090 rounded to the nearest 10000? -110000 What is -1016 rounded to the nearest 100? -1000 What is -139.52 rounded to 0 dps? -140 Round 0.00122 to 4 dps. 0.0012 Round -0.022974 to three dps. -0.023 Round 0.03803 to one decimal place. 0 What is -133.1 rounded to zero decimal places? -133 Round 0.0035133 to 3 decimal places. 0.004 What is 0.072237 rounded to 4 dps? 0.0722 Round -0.0036937 to five decimal places. -0.00369 Round 2400 to the nearest 1000. 2000 What is 0.000051847 rounded to seven decimal places? 0.0000518 Round 11.91 to one decimal place. 11.9 What is 463320 rounded to the nearest one hundred thousand? 500000 What is 1506.37 rounded to the nearest ten? 1510 What is 0.00001165 rounded to six decimal places? 0.000012 What is -5933500 rounded to the nearest 1000000? -6000000 What is 1.351 rounded to one decimal place? 1.4 Round 23.613 to 1 dp. 23.6 What is -0.31063 rounded to three decimal places? -0.311 Round 29523 to the nearest 10000. 30000 What is -2058200 rounded to the nearest ten thousand? -2060000 Round 5370 to the nearest 10000. 10000 What is 19.61 rounded to the nearest integer? 20 What is -0.04565 rounded to 3 dps? -0.046 What is 95590000 rounded to the nearest one million? 96000000 What is -43160 rounded to the nearest one thousand? -43000 Round 0.0000189 to five decimal places. 0.00002 What is -355100 rounded to the nearest 100000? -400000 What is 23722000 rounded to the nearest 100000? 23700000 Round -49770 to the nearest 1000. -50000 What is -53.9 rounded to the nearest ten? -50 What is -393410 rounded to the nearest 10000? -390000 What is -0.0000139656 rounded to 7 dps? -0.000014 What is -0.00088453 rounded to four dps? -0.0009 Round 127.84 to the nearest 100. 100 What is 294.63 rounded to the nearest 100? 300 Round 0.00499 to three decimal places. 0.005 Round 0.001156 to five dps. 0.00116 Round 1092.61 to the nearest 10. 1090 Round -15687500 to the nearest 1000000. -16000000 Round -11129000 to the nearest one hundred thousand. -11100000 What is 4105.2 rounded to the nearest 10? 4110 What is -78610 rounded to the nearest 1000? -79000 What is 0.0016422 rounded to 5 decimal places? 0.00164 Round -174.39 to zero decimal places. -174 What is -0.016741 rounded to three dps? -0.017 Round 0.000005045 to six decimal places. 0.000005 What is -0.624 rounded to two dps? -0.62 Round 0.946 to one dp. 0.9 What is -198.93 rounded to 0 decimal places? -199 What is 3.0653 rounded to one decimal place? 3.1 What is -62160 rounded to the nearest 10000? -60000 What is -28547.4 rounded to the nearest 1000? -29000 What is 281 rounded to the nearest 100? 300 Round -0.00051772 to 4 decimal places. -0.0005 What is -0.00002295 rounded to five dps? -0.00002 Round -84.39 to the nearest one hundred. -100 What is 184.96 rounded to zero decimal places? 185 What is 62000000 rounded to the nearest 1000000? 62000000 Round 91000 to the nearest one hundred thousand. 100000 Round -0.01165 to 3 decimal places. -0.012 Round -3.59413 to 2 decimal places. -3.59 What is 135400
{ "pile_set_name": "DM Mathematics" }
rt r? -82*r*w - 38*r Find the first derivative of 10*b**4 - 284*b**3 + 14358 wrt b. 40*b**3 - 852*b**2 Find the third derivative of 30*w**4*y**3 + 2*w**4*y**2 - 5*w**2*y**2 - 10*w*y**3 + 5*y wrt w. 720*w*y**3 + 48*w*y**2 What is the second derivative of -8662*o**3*y**5 + o**3*y**3 - 47*o**3*y + 65*y wrt y? -173240*o**3*y**3 + 6*o**3*y Differentiate -8*d**3 - 2*d**2 - 38*d + 3575 wrt d. -24*d**2 - 4*d - 38 What is the derivative of -12*b**3 + 8*b**2 + 21*b + 22662? -36*b**2 + 16*b + 21 Find the third derivative of 37*i**4*p - i**4 + i**2*p - 100*i*p wrt i. 888*i*p - 24*i Find the third derivative of 7*h*y**4 - 2*h*y**3 - 4*h*y**2 + 2*h - 95*y**4 + 2*y**2 + 1 wrt y. 168*h*y - 12*h - 2280*y Find the third derivative of 123*g**4 - 25*g**3 + 2486*g**2. 2952*g - 150 What is the second derivative of 2*v**3 + 342*v**2 + 6*v - 161 wrt v? 12*v + 684 Find the third derivative of -111*o**5 + 115*o**2 + o. -6660*o**2 What is the derivative of 1104*d**3 - 588? 3312*d**2 Find the first derivative of 174*f**4 - 2*f**2*n**2 + 8*n**2 - 40*n wrt f. 696*f**3 - 4*f*n**2 What is the third derivative of 5*f*w**4*z**2 + 2*f*w**4 - 2*f*w*z**2 + 2*f*w*z - 2*w**3 + 13*w**2*z**2 wrt w? 120*f*w*z**2 + 48*f*w - 12 Find the first derivative of 9*o**2 - 9*o - 13916 wrt o. 18*o - 9 What is the third derivative of 4275*h**3*y**3 - 8*h**3*y - 2*h - y**6 - 3*y**2 + 21 wrt y? 25650*h**3 - 120*y**3 Find the second derivative of -24377*j**2*r**3 + 5*j*r**3 + j + 1318*r wrt j. -48754*r**3 What is the first derivative of i**2*n**2 + 3983*i**2*n + 5948*n**2 wrt i? 2*i*n**2 + 7966*i*n Differentiate 1789*q*w**2 + w**2 + 3279 with respect to q. 1789*w**2 Find the third derivative of -202*s**6 - 2*s**5 - 58*s**2 wrt s. -24240*s**3 - 120*s**2 What is the second derivative of 6*m**2*q**2 + m**2*u**3 - 9*m**2 + m*u**3 + q**2*u + 82*q*u**3 wrt m? 12*q**2 + 2*u**3 - 18 What is the second derivative of 4*k*v**2 - k*v - 13*v**3 + 99*v wrt v? 8*k - 78*v Find the second derivative of 22*x**3 + x**2 - 577*x wrt x. 132*x + 2 What is the third derivative of -b**5 + 1020*b**4 + b**2 + 1055*b? -60*b**2 + 24480*b What is the derivative of 127*l**3*z**2 - l**3*z + 539*l**3 wrt z? 254*l**3*z - l**3 Find the second derivative of -2974*r**3*w**2 - 1187*r**3*w + r*w**5 wrt w. -5948*r**3 + 20*r*w**3 Find the third derivative of -7*o**4 - 360*o**3 + 19*o**2 - 4*o + 1. -168*o - 2160 Differentiate -10947*i**2 - 25109. -21894*i What is the third derivative of -73*y**3 - y**2 + 48*y? -438 Differentiate -b**4 + b**3 + 1207*b - 17416. -4*b**3 + 3*b**2 + 1207 What is the third derivative of -524*y**6 - 10*y**2 - 109? -62880*y**3 Find the first derivative of 513*x**4 + 55 wrt x. 2052*x**3 What is the first derivative of -4*g*j**2 - 3253*g + 130*j**3 wrt j? -8*g*j + 390*j**2 Find the second derivative of -3583*j**4 + 1436*j wrt j. -42996*j**2 What is the derivative of k**2 - 4381*k - 9988 wrt k? 2*k - 4381 Differentiate -7905*c**2*j - 59*j + 186 wrt c. -15810*c*j Find the third derivative of 2620*d**3*p**3 - 4*d**3 - 11*d**2*p**2*y + 2*d*p**3*y + p**2*y wrt p. 15720*d**3 + 12*d*y Differentiate -42*h**3*m*r**2 + 386*h**3*r**2 - 31*h**2*m*r**3 - 3*r**3 with respect to m. -42*h**3*r**2 - 31*h**2*r**3 Differentiate -9774*b**2*p**3 + 1003*p**3 wrt b. -19548*b*p**3 What is the third derivative of -1647*y**6*z - 5*y**2*z - 78 wrt y? -197640*y**3*z Find the second derivative of 5*a*n**2*p**2 - 3*a*n**2 - a*n*p**2 - 2*a*p**2 + 6*n*p wrt n. 10*a*p**2 - 6*a Find the first derivative of -342*g**2 - 10 wrt g. -684*g Find the second derivative of -52*b**5*m**3 - 2*b**4*m**3 - b*m**2 + 79*m**3 wrt b. -1040*b**3*m**3 - 24*b**2*m**3 Find the third derivative of -2*b**5 + 55*b**3 + 20*b**2 wrt b. -120*b**2 + 330 Find the second derivative of l**3 + 130*l**2 + l - 1917 wrt l. 6*l + 260 Find the second derivative of -119*t**2*v**3 + 38*t*v**3 - 3*t*v wrt t. -238*v**3 What is the second derivative of 13*w**2*z**2 + 9*w**2*z - w**2 + 8*w*z**5 - 9*w*z wrt z? 26*w**2 + 160*w*z**3 Differentiate -194*t**3 + 96 with respect to t. -582*t**2 What is the first derivative of -173*p**3*z**2 + 444*p**3 - 7*z**2 wrt z? -346*p**3*z - 14*z Differentiate 3*d**3 - 3*d**2 - 138 with respect to d. 9*d**2 - 6*d Differentiate 45*b**4 - 15*b*y - 2*b - 22*y - 180 wrt b. 180*b**3 - 15*y - 2 Find the third derivative of -6527*x**4 + 185*x**2 - 2*x + 4 wrt x. -156648*x What is the second derivative of a**2*t**3 - 3*a**2 + 445*a*t**3 + 786*a*t wrt t? 6*a**2*t + 2670*a*t What is the second derivative of -1664*g**4*x**2 + 122*g*x**2 + 9*x wrt g? -19968*g**2*x**2 Find the third derivative of -g**5 - 193*g**3 - 1072*g**2. -60*g**2 - 1158 What is the derivative of 113*n*u**3 - 198*u**3 wrt n? 113*u**3 Find the first derivative of -2*a*j*r*w**2 + a*r + 15*a*w**3 - 17*j*r*w + j*w**3 + 2*w**3 wrt j. -2*a*r*w**2 - 17*r*w + w**3 What is the second derivative of -4*f**3*t**5 - f**3 - 659*f**2*j*t + 185*j*t**5 + 2*j wrt t? -80*f**3*t**3 + 3700*j*t**3 What is the second derivative of -380*i**2 + 68*i wrt i? -760 What is the second derivative of -9*p**5 + 9*p**3 + 2*p**2*z**2 + 3*p*z**2 - 401*p wrt p? -180*p**3 + 54*p + 4*z**2 What is the first derivative of -4*q**2 - 15*q - 347? -8*q - 15 Differentiate -36*k**3 - 2*k**2 - 839 wrt k. -108*k**2 - 4*k Find the second derivative of -677*d**2*l**2 + d**2*l - 66*d**2 wrt l. -1354*d**2 What is the third derivative of 52*j**3 + 74*j**2 - 2? 312 Find the first derivative of -613*w + 1470. -613 Find the first derivative of -493*c*t + c - 93 wrt t. -493*c What is the first derivative of -3*d**4*i**2 + 2*d*i**3 + 215*i**3 wrt d? -12*d**3*i**2 + 2*i**3 What is the derivative of -15*a**3*l**2 - 94*a**2*l**2 - 350*l**2 wrt a? -45*a**2*l**2 - 188*a*l**2 Find the second derivative of 5*d**2*w**3*x - 3*d**2*w**2*x + 5*d**2 - 2*d*w**3*x + 3*d*w**3 + 40*d*w**2*x wrt d. 10*w**3*x - 6*w**2*x + 10 Differentiate 1225*a*i**2 + a*i - 179*i**2 wrt a. 1225*i**2 + i Find the second derivative of -3*a**2*s*z**2 - 33*a**2*z**2 + 2*a*s*z**2 - a*s + 241*a*z**2 + 3*s*z wrt a. -6*s*z**2 - 66*z**2 What is the third derivative of -4*f**5*i**2 - 2735*f**5 - 3*f**2*i**2 - 5182*f**2*i wrt f? -240*f**2*i**2 - 164100*f**2 What is the first derivative of -2*p**3*u - 8*p**2*u**2 - 1208*u**2 wrt p? -6*p**2*u - 16*p*u**2 Find the first derivative of 12651*q*w - 8606*q wrt w. 12651*q What is the third derivative of -301*w**6 + 53*w**2? -36120*w**3 What is the third derivative of 16100*d**3*i - 14603*d**2*i wrt d? 96600*i Find the second derivative of 4*h**3*n + 21*h**3 - h**2*n + 3*h**2 + 2*h*n + 302*h + 2*n wrt h. 24*h*n + 126*h - 2*n + 6 What is the third derivative of 2*q**4*u**2 + q**4*u - 106*q**3*u + 15*q**2*u + 5*q**2 + q*u**2 wrt q? 48*q*u**2 + 24*q*u - 636*u Differentiate x**3*z - 3*x**2*z**2 - 41*x*z + 4*z**2 - 87*z with respect to x. 3*x**2*z - 6*x*z**2 - 41*z What is the third derivative of -7*f**2*z**3 + 19*f**2*z + 8*f*z**5 + 3*f*z**2 + z**4 wrt z? -42*f**2 + 480*f*z**2 + 24*z What is the second derivative of 11*b**5 + 3*b**4 + 89*b - 1? 220*b**3 + 36*b**2 Differentiate 2*q*s**2*t**2 + 3202*q*s*t**3 - 2*s**2*t**3 + 16*s**2 + 101*t**3 with respect to q. 2*s**2*t**2 + 3202*s*t**3 What is the derivative of 2318*m + 1688? 2318 What is the second derivative of 365*i**2 + 343*i wrt i? 730 Find the third derivative of 4633*q**4 + 8493*q**2 wrt q. 111192*q Differentiate 8370*j + 3652. 8370 Find the first derivative of -297*g + 210. -297 What is the first derivative of 13111*d**3 - 4810? 39333*d**2 What is the derivative of 500*a**4*h + 5*a**3*h - 35*h - 67 wrt a? 2000*a**3*h + 15*a**2*h What is the second derivative of 5*n**3 - 1010*n**2 + n + 794 wrt n? 30*n - 2020 What is the third derivative of -86*h**3*k - 2*h**2*k - 265*h*k wrt h? -516*k Find the third derivative of -275*o**3 + 1136*o**2 wrt o. -1650 What is the third derivative of -l*z**4 - 4*l*z**3 + 2250*l*z**2 + l + 465*z**6 + 3 wrt z? -24*l*z - 24*l + 55800*z**3 Find the third derivative of d*j**4 - d*j**3 - d*j**2 - 2*d + 174*j**5 - 2596 wrt j. 24*d*j - 6*d + 10440*j**2 Find the second derivative of -16*v**3 - 35*v**2 + 172*v. -96*v - 70 Find the second derivative of 2*k**4*o**3 - 206*k**3*o**3 - 2*k*o**3 + 453*k wrt k. 24*k**2*o**3 - 1236*k*o**3 What is the first derivative of 88*v**2 - 7*v + 293 wrt v
{ "pile_set_name": "DM Mathematics" }
16 Let u be 54/8 - (-2)/8. Suppose 23 = b - u. Calculate the highest common divisor of 20 and b. 10 Suppose -2*x - t = -273, 0 = x + 2*t - 5*t - 126. Calculate the greatest common factor of 15 and x. 15 Let c(i) = -2*i - 2. Let j be c(-6). Suppose 3*l + j - 52 = 4*m, l + 4*m = 14. What is the highest common divisor of 28 and l? 14 Let v be (33/6)/((-7)/(-42)). Calculate the greatest common divisor of v and 3. 3 Let y(u) = u**2 + u - 1. Suppose f - 4 = 4*z - 0*f, -5*f = -3*z + 14. Let w be y(z). Let v be (-9)/((w/(-2))/1). What is the greatest common factor of v and 6? 6 Suppose -4*g + 5*d = d - 60, g - 4*d = 0. Calculate the highest common factor of 4 and g. 4 Let y be (4 - 3)*-3 + 8. Calculate the greatest common factor of y and 35. 5 Suppose -108 = -2*z - 2*r, -2*r = -z - 5*r + 64. Let f be -1*(-1 - 6) - 0. What is the greatest common divisor of z and f? 7 Suppose 2 - 290 = -12*m. Let d(t) = -2*t**3 - t**2 - 3*t - 2. Let p be d(-2). What is the highest common divisor of m and p? 8 Let c = -21 + 28. What is the highest common factor of c and 28? 7 Let k = 25 - 9. Let i be 237/(-27) + (-2)/9. Let g be (8/(-6))/(3/i). What is the highest common factor of k and g? 4 Suppose 0 = -7*q + 3*q + 116. Calculate the greatest common divisor of q and 29. 29 Suppose 0*o = 3*o - 36. Suppose -99 = -5*h + 441. What is the highest common factor of h and o? 12 Suppose 3*h - 83 = f, 9*h + 85 = 12*h - 2*f. What is the greatest common divisor of h and 189? 27 Let m(b) = -b**2 + 7*b - 5. Let t be m(4). Let p(v) = v**2 + 4*v + 7. Let h be p(-4). What is the greatest common divisor of h and t? 7 Let d be 2 + 0 + 188/2. Let v(b) = -b**3 + 41*b**2 + 181*b - 21. Let j be v(45). Calculate the highest common divisor of d and j. 24 Let q(s) = -2*s - 4. Let v be q(-3). Suppose -v*w + 23 + 5 = 0. What is the greatest common divisor of w and 56? 14 Let a(x) = 3*x - 3. Let u be a(2). What is the greatest common factor of 33 and u? 3 Suppose 1 = -4*q + 109. Calculate the highest common factor of 54 and q. 27 Let h(o) = -14*o. Let k be h(-2). Suppose 0 = 3*w - 6*w + 210. Calculate the highest common divisor of w and k. 14 Suppose 4*v + 5 = -2*q - 9, -4*q - 16 = -4*v. Let b be (12/10)/(v/5). Let o = b + 8. What is the highest common factor of o and 8? 2 Let t = -32 - -60. Suppose 5*q - t = 3*q. Calculate the highest common factor of q and 112. 14 Let w(q) = -q**3 + 4*q**2 + q - 1. Let i be w(4). Let u be ((-4)/(-2) - -2)*i. Suppose 133 = j + 49. What is the greatest common divisor of u and j? 12 Suppose -2*x + u = -4*u + 12, 3*x + 18 = 4*u. Let s be (-1)/x + 332/24. Let r = 27 - s. Calculate the highest common factor of r and 117. 13 Let l = 38 - 13. Suppose 0 = 4*x - 146 - 154. Suppose -4*n = -5*m + 4*m + 30, -5*m = -5*n - x. Calculate the greatest common factor of l and m. 5 Let u be (-18)/(-4)*(-12)/(-9). Suppose 0 = -10*f + 14*f - 16. Calculate the greatest common divisor of f and u. 2 Let u = 57 + -40. Calculate the greatest common factor of 34 and u. 17 Let a(l) = -28*l. Let n be a(-6). What is the greatest common factor of n and 24? 24 Let a be 20/5 - -4*11. Let z(u) = 47*u**2 - 2*u - 1. Let v be z(-1). Let t = -32 + v. What is the greatest common divisor of t and a? 16 Let p be -4*-3*11/6. What is the highest common divisor of p and 2? 2 Suppose 0*j - j + 4*r = 5, -5*r = 5*j - 75. Calculate the greatest common divisor of 11 and j. 11 Let x = 118 - 76. Let a be ((-48)/30)/(2/10). Let s(d) = d**2 + 6*d - 2. Let c be s(a). What is the greatest common divisor of x and c? 14 Let f(m) = 3*m + 19. Let j be f(-3). What is the greatest common factor of 80 and j? 10 Suppose -3*g - 11 = -50. Calculate the greatest common factor of g and 13. 13 Let p be (-4)/18 - 164/(-9). Let k = -17 + p. What is the highest common divisor of 3 and k? 1 Suppose -3*m + 4*m - 18 = 0. Suppose 0 = 3*n - 2*w - 1, w - 3 + 2 = 0. Let h be (3/6 + n)*6. What is the greatest common factor of h and m? 9 Suppose -2 = -3*g + 1. Calculate the greatest common divisor of 11 and g. 1 Suppose -g = 0, -2*g = -5*p + 2*p - 780. Let d = p + 395. Calculate the highest common factor of d and 15. 15 Let r(m) = 2*m - 2*m**2 - 3*m**2 + 16*m**2. Let l be r(2). Suppose 3*n = -2*g + 9, 25 = 4*g + 4*n - 3. Calculate the greatest common divisor of l and g. 12 Suppose -4*k = -2*k - 162. What is the highest common divisor of k and 54? 27 Let n(o) = 2*o**2 - 6*o - 6. Let b be n(7). Let t(p) = p**3 + 7*p**2 + 3*p + 2. Let u be t(-6). Calculate the greatest common factor of u and b. 10 Let z be (-2)/4 + (-11)/2. Let h be (-22)/(-6) - 2/z. Suppose -2*a - 3*a = -5*j + 140, a = h. Calculate the highest common factor of 80 and j. 16 Let b(l) = -2*l - 9*l + l**2 + l**2 - 3. Let m be b(9). What is the greatest common divisor of m and 24? 12 Let y(o) = 25*o - 10. Let a be y(7). Calculate the greatest common divisor of 33 and a. 33 Suppose x = -0*x + 166. Suppose 0 = -5*l - 4*u + x + 310, 5*l = -u + 479. Let m be 0 + 0/1 + 12. What is the highest common factor of m and l? 12 Let s(y) = 25*y - 16*y + 3 + 6. Let j be s(12). Let o(p) = -12*p**3 + 2*p**2 + 2*p + 1. Let h be o(-1). Calculate the highest common divisor of j and h. 13 Let k = -2 + 2. Let z = k - 0. Suppose z = -3*x - 6, -d + 0 - 3 = 2*x. What is the highest common factor of d and 1? 1 Let x(s) = -s**3 - 5*s**2 - 6*s - 6. Let f be x(-4). Suppose f*d = -2*d + 24. Suppose d*r - 10 = r. Calculate the highest common factor of r and 14. 2 Suppose 5*b + 423 + 97 = 0. Let k = -48 - b. Suppose -n + 1 = -6. Calculate the highest common factor of k and n. 7 Suppose 0 = 3*u - 2*u - 5. Let j(s) = 3*s + 39. Let n be j(2). Calculate the highest common factor of n and u. 5 Let b = 75 + -66. Calculate the greatest common factor of b and 1. 1 Suppose 5*p + 4*h - 243 = 0, -2*h + 0*h = 6. What is the highest common factor of p and 408? 51 Suppose -2*f - 9 = -4*x + 15, -16 = -4*x - 2*f. Suppose -3*t = r - 47, -66 = -x*t + 5*r - 1. Calculate the greatest common divisor of 135 and t. 15 Suppose -2*q + 5*q - 72 = 0. Let k be 8 + (-4)/4*2. Calculate the highest common factor of q and k. 6 Let o(x) = 4*x**3 - 3*x**2 + 2*x + 2. Let t be o(2). Calculate the highest common factor of 39 and t. 13 Let y be (-1)/(-1) + 2 - 37. Let l = 17 + y. Let f = l - -25. Calculate the greatest common divisor of 1 and f. 1 Let t = -132 + 244. Let u = 106 - 64. Suppose 0 = -g + 4*g - u. What is the greatest common divisor of t and g? 14 Let f(y) = y + 13. Let b be f(-10). Let a be -6*b*3/(-6). What is the highest common divisor of 9 and a? 9 Let c = 6 + 3. What is the highest common divisor of c and 1? 1 Let f be ((-5)/15)/(-1*4/48). What is the highest common factor of 4 and f? 4 Suppose -5*w - 9 = -24. Suppose w*q + q = 76. Calculate the highest common divisor of q and 19. 19 Suppose -c = -0*c - 2*k - 34, 2*k = 5*c - 162. Let f be (3/(-3) + -16)*1. Let h = 33 + f. What is the greatest common factor of h and c? 16 Let n(s) = s**2 + 8*s + 10. Let l = -18 + 11. Let h be n(l). Suppose 15 = -0*q - 3*q, h*g + q = 37. Calculate the highest common divisor of g and 126. 14 Let b be (-4)/((-12)/(-3)) + 26/2. Calculate the greatest common divisor of 12 and b. 12 Suppose -4 = 4*y, 5*u + 3*y = 2*y + 9. Let i be 101 + (-1 - 4/u). Calculate the greatest common divisor of 14 and i. 14 Suppose -14*w + 654 = 206. Let z(i) = -i**2 + 5*i + 2. Let f be z(3). Calculate the greatest common factor of f and w. 8 Let y(m) = 2*m**2 - 4*m + 2. Let f be y(3). Suppose -7 - 281 = -9*p. What is the highest common factor of f and p? 8 Let f be 121 - (2/6*6 + -1). What is the greatest common factor of 30 and f? 30 Let m(k) = -5*k**3 - 2*k**2 - 2*k - 4. Let r be m(-3). What is the greatest common divisor of r and 17? 17 Let a(j) = j + 1. Let r be a(5). Calculate the greatest common factor of r and 9. 3 Suppose 30*n - 27*n - 72 = 0. What is the greatest common factor of 3 and n? 3 Suppose -2*l - 55 = -7*l. Let t be (-8)/(-36) - (-1182)/27. Calculate the highest common factor of l and t. 11 Suppose -4*x + 8*x - 76 = 0. Let w = 188 - 55. What is the highest common divisor of w and x? 19 Let a = 1 + 1. Let c be (-176)/(-5) - a/10. What is the greatest common divisor of c and 5? 5 Let g = -84 - -118. Let a(s) = -2*s**2 + 14*s + 22. Let v be a(6). What is the
{ "pile_set_name": "DM Mathematics" }
ithout replacement from jrjrjljtjltrxttlrjlj. What is prob of picking 1 l and 2 r? 2/95 Three letters picked without replacement from {b: 7, a: 3, d: 4, e: 5}. What is prob of picking 2 d and 1 e? 10/323 Calculate prob of picking 2 m when two letters picked without replacement from xfzttmzmmttffxftxt. 1/51 Two letters picked without replacement from mcymyccmymcc. What is prob of picking 1 m and 1 c? 10/33 Three letters picked without replacement from llfflfffffff. What is prob of picking 1 l and 2 f? 27/55 Two letters picked without replacement from {l: 1, w: 1, x: 7}. Give prob of picking 1 x and 1 w. 7/36 Calculate prob of picking 1 m, 1 x, and 1 y when three letters picked without replacement from bybbbbxbbbybmy. 3/364 What is prob of picking 2 n when two letters picked without replacement from {n: 7, m: 2}? 7/12 Calculate prob of picking 2 q when two letters picked without replacement from qqclqqdqqddkdddlq. 21/136 Two letters picked without replacement from uuuzuuuuuuuuu. Give prob of picking 2 u. 11/13 What is prob of picking 1 o, 1 t, and 2 z when four letters picked without replacement from {o: 1, a: 1, t: 2, z: 2}? 2/15 Three letters picked without replacement from {c: 1, l: 3}. What is prob of picking 1 c and 2 l? 3/4 Three letters picked without replacement from {h: 3, o: 3, x: 2}. What is prob of picking 3 o? 1/56 What is prob of picking 3 k when three letters picked without replacement from {x: 2, m: 3, k: 7}? 7/44 Two letters picked without replacement from vvvvqqqqqvvv. Give prob of picking 1 v and 1 q. 35/66 What is prob of picking 2 v and 2 t when four letters picked without replacement from {t: 4, v: 10}? 270/1001 Two letters picked without replacement from uuutwttt. What is prob of picking 1 t and 1 u? 3/7 What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 1, f: 2, h: 2, o: 1}? 1/15 Four letters picked without replacement from oiowwowwwq. Give prob of picking 2 o and 2 w. 1/7 Two letters picked without replacement from fbfpflpzflplbppcfpb. Give prob of picking 1 f and 1 p. 10/57 Calculate prob of picking 1 i, 1 s, and 2 u when four letters picked without replacement from ssuui. 2/5 Four letters picked without replacement from {i: 4, g: 6}. What is prob of picking 1 i and 3 g? 8/21 What is prob of picking 2 f when two letters picked without replacement from qffqqwqtqqfto? 1/26 Four letters picked without replacement from {g: 2, d: 1, c: 4, a: 1, y: 1}. Give prob of picking 1 d, 2 c, and 1 g. 2/21 Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {b: 1, t: 1, g: 2, l: 3}. 2/7 Three letters picked without replacement from {u: 6, t: 6}. Give prob of picking 2 u and 1 t. 9/22 What is prob of picking 1 l, 1 w, and 1 i when three letters picked without replacement from {w: 3, l: 6, i: 1, v: 5}? 18/455 Two letters picked without replacement from {w: 3, e: 12}. Give prob of picking 2 e. 22/35 Four letters picked without replacement from {b: 5}. Give prob of picking 4 b. 1 Three letters picked without replacement from {k: 3, c: 1, m: 1}. Give prob of picking 2 k and 1 m. 3/10 Three letters picked without replacement from {o: 2, e: 1, z: 6, y: 1, p: 2}. Give prob of picking 1 z and 2 p. 3/110 Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {j: 2, h: 1, r: 4, p: 2}. 1/7 Two letters picked without replacement from {u: 1, y: 2, t: 6, g: 2}. What is prob of picking 2 g? 1/55 What is prob of picking 1 i and 2 t when three letters picked without replacement from {p: 4, i: 4, t: 6, m: 1, n: 2}? 3/34 Three letters picked without replacement from yooooyooyo. What is prob of picking 3 y? 1/120 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from sfimb. 1/10 Two letters picked without replacement from {w: 3, k: 1, q: 3, u: 3, p: 1}. Give prob of picking 2 u. 3/55 Three letters picked without replacement from nnncnnncnnccnnncnnc. What is prob of picking 3 c? 20/969 Two letters picked without replacement from {t: 2, s: 2}. What is prob of picking 2 s? 1/6 What is prob of picking 2 p, 1 w, and 1 c when four letters picked without replacement from {p: 3, f: 3, w: 1, l: 2, h: 7, c: 1}? 3/2380 What is prob of picking 1 c and 1 m when two letters picked without replacement from cccccmcmcccccm? 33/91 Three letters picked without replacement from {z: 3, m: 1, w: 3}. Give prob of picking 2 z and 1 m. 3/35 Four letters picked without replacement from {s: 2, w: 1, o: 3, j: 1}. Give prob of picking 1 s, 2 o, and 1 j. 6/35 Calculate prob of picking 3 u when three letters picked without replacement from {q: 2, f: 5, h: 3, u: 3}. 1/286 Two letters picked without replacement from {g: 10, w: 1, c: 1, a: 1, k: 1}. What is prob of picking 1 a and 1 w? 1/91 What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn? 1 Four letters picked without replacement from kkkkokkkkkoookkokk. What is prob of picking 1 o and 3 k? 143/306 Three letters picked without replacement from {s: 2, f: 1, m: 1, l: 2, k: 1}. Give prob of picking 3 l. 0 Three letters picked without replacement from {w: 3, x: 1, p: 13}. Give prob of picking 3 w. 1/680 What is prob of picking 1 u and 1 t when two letters picked without replacement from ueeutttuutttt? 14/39 Four letters picked without replacement from {x: 8, t: 2, n: 2}. What is prob of picking 2 t, 1 n, and 1 x? 16/495 What is prob of picking 2 d, 1 p, and 1 y when four letters picked without replacement from {y: 2, p: 3, d: 13}? 13/85 What is prob of picking 1 f and 1 l when two letters picked without replacement from ffllfxfxffjlloflff? 5/17 What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 5, d: 1, p: 8, w: 2}? 1/12 What is prob of picking 1 n and 2 x when three letters picked without replacement from {n: 2, x: 2, r: 1, l: 1, o: 2}? 1/28 Four letters picked without replacement from aajanjajanaaaaaaaaaa. Give prob of picking 1 n and 3 a. 182/969 Three letters picked without replacement from bbssbbs. Give prob of picking 3 s. 1/35 Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 3, l: 12}. 12/35 Two letters picked without replacement from {r: 3, o: 5, u: 1, j: 2, w: 1}. Give prob of picking 1 w and 1 j. 1/33 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from aiciaicccc. 1/3 What is prob of picking 1 d and 2 m when three letters picked without replacement from {x: 4, m: 7, d: 7}? 49/272 What is prob of picking 2 i and 1 t when three letters picked without replacement from {k: 3, i: 4, t: 4, x: 6}? 3/85 What is prob of picking 4 h when four letters picked without replacement from {z: 8, i: 1, h: 7, u: 2}? 7/612 Three letters picked without replacement from jggggjgg. Give prob of picking 3 g. 5/14 Three letters picked without replacement from kxxxixgxxxxxxxxxxwgw. What is prob of picking 1 i and 2 x? 91/1140 Two letters picked without replacement from {h: 2, f: 2, o: 2, y: 1, d: 1}. What is prob of picking 2 h? 1/28 What is prob of picking 2 b and 1 f when three letters picked without replacement from bbffbbffffbbfbbfbffb? 15/38 Four letters picked without replacement from bbbbbxbbx. Give prob of picking 3 b and 1 x. 5/9 What is prob of picking 2 o and 1 e when three letters picked without replacement from {o: 2, e: 3}? 3/10 Calculate prob of picking 1 d, 1 l, and 1 s when three letters picked without replacement from dslllssdsldddrld. 3/14 Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {p: 1, f: 6, y: 2, m: 3}. 1/11 Three letters picked without replacement from yeyeeeyeeeeeyy. What is prob of picking 1 e and 2 y? 45/182 What is prob of picking 1 j, 1 v, and 1 y when three letters picked without replacement from {j: 1, s: 1, v: 1, y: 2}? 1/5 What is prob of picking 1 i, 1 y, 1 l, and 1 g when four letters picked without replacement from {y: 4, g: 1, i: 2, w: 1, l: 2}? 8/105 Three letters picked without replacement from igiqisqsglsiess. What is prob of picking 2 s and 1 q? 4/91 What is prob of picking 2 u and 2 d when four letters picked without replacement from uuuuuduuuduuuduuuuuu? 8/95 Calculate prob of pic
{ "pile_set_name": "DM Mathematics" }
number? True Suppose 3*d + j = 12, -j - 21 = -2*d - 6*j. Let k be -1 + d - -151 - -2. Is (-2 - k)*1*-1 a prime number? True Let v(s) = 9*s**2 - 10*s + 9. Suppose 2 = 2*m - 10. Let y be v(m). Suppose 0 = -4*r - b + y, 3*r - b = 6*r - 206. Is r prime? True Let c = -5 + 8. Suppose 16 = w - c. Is w a composite number? False Suppose -7*a + 2*a = -10. Suppose 5*n - 5 = 0, 2*l - 3382 = -a*l + 2*n. Suppose -3*i + 2*d + 636 = 5*d, 4*i + 2*d = l. Is i a prime number? True Suppose -3*d = 9, d - 18 = -2*f + 5*d. Suppose -5*h = -0*i + f*i - 769, 5*h + 4*i - 767 = 0. Is h a prime number? False Let h(k) = 26*k**2 + 11*k + 19. Is h(-5) composite? True Let k be -3*(0 + 6/(-3)). Let n(z) = -k*z - z**3 + 10*z**2 - z - 11 + 2*z. Is n(8) a prime number? False Suppose 5*r = 3 + 7. Suppose -r*f + 497 = -949. Suppose 0 = -5*m + 4*h + f, 3*h = -2*m - 0*m + 280. Is m a prime number? False Let a = 238 - -169. Is a a composite number? True Let h(g) = -7*g + 2. Suppose 5*p + 15 + 0 = 0. Let t = p + -2. Is h(t) a composite number? False Suppose 0 = 2*y - 4*n - 94, 3*y - 6*y - 5*n + 163 = 0. Is y a prime number? False Let w = 959 + -206. Is w a composite number? True Suppose -4*h = -r + 25, r = 2*h - 3*h. Suppose -4*n + 0*n - 3*y + 1343 = 0, r*y = 5. Is n a prime number? False Let h = -2184 + 4919. Is h a prime number? False Let d(g) = -97*g. Is d(-1) prime? True Let z = 549 + -122. Is z prime? False Let g(q) = 3*q**3 - 3*q**2 - 3*q + 2. Is g(3) prime? True Let y(u) = -7*u + 8. Is y(-17) prime? True Suppose -2*y - 6 - 2 = 0. Is -1 - ((-544)/y)/(-2) prime? True Let t = -1 + 5. Suppose 0*y - t*y + k = -329, -5*y - 4*k = -427. Is y prime? True Let t(i) = i**2 - 3*i - 3. Let m be t(3). Is -62*m/(-6)*-2 a composite number? True Suppose -252 + 633 = 3*i. Is i a composite number? False Suppose 2*s + s = 4*h - 78, -3*h - 3*s = -69. Is h composite? True Suppose 9*d - 2310 = 4*d. Suppose -5*l + d = 37. Is l composite? True Let b = 502 + -55. Is b prime? False Let d = -19 + -98. Let u = 404 + d. Is u composite? True Let v be 2/(-3)*(-2 + 5). Is 228/20 + v/5 a prime number? True Let a be (5 + -3)*33/(-2). Let h = 47 + a. Suppose 0 = -4*g + 210 - h. Is g a composite number? True Is 1 + ((-2)/1 - -1)*-786 a prime number? True Suppose -352 = -5*h - 92. Let m = 242 - 167. Suppose h + m = v. Is v composite? False Let o(x) = -112*x - 34. Is o(-11) composite? True Suppose 231 = -3*q + 78. Let y = q - -136. Is y a composite number? True Suppose 4*y + 5*a = -6282 + 1181, a = 4*y + 5095. Is y/(-8) - 8/32 a prime number? False Let o = 737 - 457. Suppose d = -4*d - 2*a + 20, 2*d - 19 = -3*a. Suppose -p + g = -80, d*p = -p - 5*g + o. Is p a prime number? False Let z be ((-1228)/5)/((-3)/(-15)). Is 1*z/(-4)*1 prime? True Let d(i) = i**3 - 20*i**2 - 10*i - 20. Is d(21) a prime number? True Let j = -11 - -4. Is (-2)/j + 4098/14 prime? True Let s = 206 - -59. Is s a composite number? True Let d = -5 - -9. Suppose 5 = -5*u - 4*w + 15, 2*u = -5*w + d. Suppose u*h - 20 - 54 = 0. Is h composite? False Is (4 - 3 - 2)*-139 prime? True Let y = -1096 + 2013. Is y composite? True Let m(u) = 10*u**2 - 7*u + 2. Is m(5) composite? True Let q = -1613 + 4006. Is q a composite number? False Suppose -2*u - 2*u = 0. Suppose a + 2 - 1 = u. Is a/(1*1/(-53)) prime? True Suppose -3949 = -0*m - m + 3*t, -3*t = -3*m + 11859. Suppose 0*u - 5*u = -m. Is u composite? True Let l = 1794 + -393. Is l composite? True Suppose -7*w + 2*w = 5*d - 1115, -3*w + d + 669 = 0. Is w a composite number? False Let t be ((-9)/(-3))/(1/47). Let n = -64 + t. Is n a prime number? False Suppose -g + 7 = 2*m, g - 3*g - 5*m = -16. Suppose -6*t = -g*t - 231. Is t a composite number? True Suppose y - 99 = 175. Is y composite? True Suppose 5*s = p + 3*p - 119, -93 = -3*p + 3*s. Is (1 + p)*(1 + 1) prime? False Suppose -3*b + 2*b + 7 = 0. Let t(p) = p**2 + p - 2. Let w be t(b). Is 986/18 + 12/w a prime number? False Let d = 932 + 185. Is d composite? False Suppose -4*h - 26 = 5*x, -h - 3*x = -0 + 3. Is (2506/6)/((-3)/h) prime? False Suppose 3 = -2*q - 2*x - 3, 4*q + 3*x = -8. Is (20 + -1)*(q - 0) a prime number? True Suppose 4*o = -4*f - 0*f - 16, -5*o - 14 = -f. Is 1 + 76 - (1 + f) composite? True Suppose 0*m = -2*m - 8. Is (-277)/m + 3/(-12) a composite number? True Suppose -5*n + 7324 = -1681. Is n composite? False Let i(c) = -c + 4. Let v be i(0). Suppose v*l = -0*l - 88. Let t = 107 + l. Is t a prime number? False Let k be 1*(-1 - 0) - -7. Let r = 10 - 13. Let d = r + k. Is d a composite number? False Let o = 463 - -530. Is o prime? False Suppose c - 3*d = -10, -2*c = d - 8 - 0. Suppose 72 = 5*o + 3*f, -c*f - f - 3 = 0. Is o a composite number? True Let q(a) = 35*a**2 + a - 5. Let f(m) = m**2 + 5*m + 3. Let s be f(-2). Is q(s) a prime number? True Let q(u) = -9*u - 10. Is q(-7) composite? False Suppose 450 = 3*q - 3*d, 4*q + 2*d = -94 + 664. Is q a composite number? True Suppose 87 = -5*v + 27. Let w be (-10)/(-35) + v/(-7). Suppose w*t + 0*t = 134. Is t composite? False Suppose -2*u - 273 + 2031 = 0. Is u a composite number? True Suppose -4*n = -9*n. Let h(g) = -g**3 - g**2 - g - 4. Let m be h(n). Let u = 25 + m. Is u a prime number? False Suppose 2*w + 5*o = 3 + 21, o = 4. Let j be (w + -2)/(-2 + 0). Suppose j = 5*a - 3*a - 42. Is a a composite number? True Let p(g) = 51*g + 106. Let v(x) = 10*x + 21. Let u(r) = -2*p(r) + 11*v(r). Is u(8) a composite number? False Let m(i) = -i**2 + 13*i + 3. Let y be m(13). Is y + 3 + -6 - -223 prime? True Let k be 1 - (4 + -2) - -210. Suppose k = 4*z - 0*z + a, -4*z + 197 = 5*a. Is z a composite number? False Let m(c) be the third derivative of c**6/120 - c**5/15 + c**4/12 - 7*c**3/6 - 6*c**2. Is m(6) composite? True Suppose -7*s - 5*s + 19668 = 0. Is s prime? False Suppose 18*p - 44 = 14*p. Is 2/p + 27081/187 a prime number? False Let l(a) = -11*a**3. Let m be l(1). Let t = m + 16. Suppose 0 = -4*c + t*c - 23. Is c composite? False Suppose 3 = -i + 6, -i + 33 = 3*y. Suppose -15 = 5*q + y, 2*x + 213 = 5*q. Let b = x + 252. Is b a prime number? False Is 1/(-5) + 14592/10 composite? False Suppose 5 = i + 1. Suppose -4*n - n = -25, 0 = 4*j - 5*n + 49. Is j/8 + 95/i prime? True Let s(m) = 6*m**2 - 5*m + 4. Let r(w) = -7*w**2 + 5*w - 5. Let d(k) = -5*r(k) - 6*s(k). Is d(3) prime? True Suppose -315 - 757 = -4*a. Suppose -3*m - a = m. Is 3/(-6)*(m - -1) prime? False Suppose 5*v + d = 3 + 1, -3*v = -2*d + 8. Suppose -5*a + 2*l + 721 = v, -5*l = -2*a + 5*a - 445. Is a a prime number? False Let z(c) = c + 38. Let b be z(0). Suppose -3*w + b = -w. Is w prime? True Suppose 0 = 4*g - 8*g - o - 7, 0 = -5*o + 5. Let z = g + 2. Is (-5 + z)*33/(-5) a prime number? False Suppose -2*p + 2 = -2*v, v = 5*v - 2*p + 4. Is (-1 - v)/(-4) + 347 prime? True Let x(h) = -h**3 + 7*h**2 - 6*h + 2. Let j be 2*1/2 - 1. Let u(o) = -o**3 + o + 5. Let t be u(j). Is x(t) a composite number? True Suppose -p + 4*x - 11 = -0*p, -3*p - 3*x + 42 = 0. Let c(b) = -b**3 + 10*b**2 - 9*b - 10. Let d be c(p). Let a = 9 - d. Is a a composite number? False Suppose -2*k = p - 2150, -k + 553 + 528 = 2*p. Is k a composite number? True Suppose -o + 4*o + 27 = 0. Let i = 13 + o. Is ((-8)/(-12))/(i/42) a prime number? True Let w(m) = -m**2 + 7*m - 4. Let u(s) = -2*s - 12. Let r be u(-9). Let h be w(r). Suppose 5*c - 357 = -2*v + 312, v - h = 0. Is c a prime number? False Let n(w) = 3*w + 10 - w**2 - 12*w - 4*w**2 - 6*w**2 - w**3. Let l be n(-10). Suppose a + 3*a - 268 = l. Is a a composite number? False Let i be ((-18)/6)/(0 + -1). Suppose 172 = i*g - 95. Is g prime? True Suppose 477 = 4*z + 33. Let p = 7 + -9. Is z + (2 - p)/2 composite? False Let t = -14 - -10. Let o = -4 - t. Suppose -3*n = -5*j + 104, -j + 31 = -o*n - 4*n. Is j composite? False Let h(v) = 177*v + 2. Let y be h(4). Suppose -2*c + y = 5*t - c, 5*c = 5*t - 740. Is t composite? True Suppose -3 = -4*j + 89. Suppose 4*n - j = -7. Suppose 0*m = n*p - 2*m - 44, 4*m - 16 = 0. Is p a composite number? False Suppose -3*u = -4*u - 5. Let z = u - -24. Is z composite? False Let n(x) = x**3 + 4*x**2 - x - 1. Let b be n(-4). Let o(c) = -2 + 9 + c**b + 5*c**2 + 3*c**2. Is o(-8) a composite number? False Let b = 6 + -2. Suppose f + 669 = b*f. Is f prime? True Let x be -2*(-238 + 0 + 2). Suppose g + x = 5*g.
{ "pile_set_name": "DM Mathematics" }
7 Let g = -1593 + 17748. What are the prime factors of g? 3, 5, 359 Let k = -831 - -822. What are the prime factors of 3/(k/1) - 75760/(-48)? 2, 3, 263 Suppose 0 = -2*o - 5*y + 25135, -y + 37735 = -5*o + 8*o. List the prime factors of o. 2, 5, 17, 37 Let o = 64 + -64. Suppose o = -7*b + 12264 + 21616. What are the prime factors of (1 - -1) + b/22? 2, 3, 37 Suppose -q + 3 = -4*u - 4*q, q = -1. Suppose u*a + 4*t = -2*a + 650, -15 = 3*t. What are the prime factors of a? 5, 67 Let w = 234028 + -161022. List the prime factors of w. 2, 173, 211 Suppose -11*u + 5*u - 367884 = 0. List the prime factors of 6/10 + u/(-110). 2, 3, 31 Suppose -40 + 15 = -5*t - 3*x, -5*x = -t + 5. Suppose -3*c - 730 = -t*c. What are the prime factors of c? 5, 73 Let t = 79 + -59. Let y(z) = -z + 11. Let h be y(t). What are the prime factors of 6/(-27) + (-335)/h? 37 Let i be 45/6*(-104)/(-6). Suppose -23*d + i = -10*d. What are the prime factors of d? 2, 5 Let z = 1973 + -1032. List the prime factors of z. 941 Let k(d) = 2268*d**2 - 136*d + 138. What are the prime factors of k(1)? 2, 5, 227 Let k be 8/4 - -2*1. Let s(b) = 4*b**2 - 3 + 8*b - 2*b**2 - 4*b. What are the prime factors of s(k)? 3, 5 Let q be -3 + (-32)/10*10/(-4). Suppose s - 502 = -3*o, -5*s + 3109 = -q*o + 559. Suppose -5*b = -b - s. List the prime factors of b. 127 Let r = 53190 + -37227. What are the prime factors of r? 3, 17, 313 Suppose 318*x + 177252 = 322*x - 2*o, -3*x - 4*o = -132972. List the prime factors of x. 2, 3, 1231 Suppose -13*r + 10*r = 4*f - 651, f - 157 = 5*r. Suppose 242 = 2*u - t, 4*t - 190 = -3*u + f. What are the prime factors of u? 2, 3, 5 Let d = -28581 - -51546. List the prime factors of d. 3, 5, 1531 Suppose -3*v = -0*v + 30. Let i be (-2)/10 + (-62)/v. What are the prime factors of i*(-136)/(-6) + 4 + -7? 7, 19 Let k(l) = -l**3 - 3*l**2 + 5. Let o be k(3). Let w = 391 + o. List the prime factors of w. 2, 3, 19 Suppose 0 = -11432*u + 11484*u - 2413372. What are the prime factors of u? 46411 Let t be (-22)/(-33) + (-2523)/(-9). Let l = t + 659. What are the prime factors of l? 2, 5, 47 Let i = 136 - 133. Suppose -5*o + 334 = s, -i*o = o + s - 267. List the prime factors of o. 67 Let m = -3990 - -8547. List the prime factors of m. 3, 7, 31 List the prime factors of 15/55*11 + (4206 - 1). 2, 263 Suppose -4*u = -0*u - 2*m - 34, -12 = -3*u - 3*m. Suppose -8211 = u*z - 24*z. List the prime factors of z. 3, 7, 23 Let m = 21609 + -8325. List the prime factors of m. 2, 3, 41 Suppose 4*p = -3*a + 55, -3*p + a + 10 = -3*a. Suppose 8*v + 203 = 43. List the prime factors of (-1 + -17)/(p/v). 2, 3 Let p = -25716 + 33594. What are the prime factors of p? 2, 3, 13, 101 Suppose 0 = 8*l - 12*l + 44. Suppose -l*q - 280 = -13*q. List the prime factors of q. 2, 5, 7 Suppose -2*o + 2*q + 14044 = 0, o = 475*q - 476*q + 7024. List the prime factors of o. 3, 2341 Let r = 40 + -34. Let t(q) = 22*q + 2*q**2 - 36*q + 15*q - 20. List the prime factors of t(r). 2, 29 What are the prime factors of (6 + -29 - 7)*-56? 2, 3, 5, 7 Let r = -244 - -952. Let j be r/32 + 6/(-48). Suppose 4*q + j - 730 = 0. What are the prime factors of q? 3, 59 Let m be -3 - (8*-4 - -3). Let i = 31 - m. Suppose 0 = 5*j + i*c - 685, 3*j - 123 = 4*c + 309. What are the prime factors of j? 2, 5, 7 Suppose -320396 - 591844 = -90*x. What are the prime factors of x? 2, 7, 181 Suppose -225892 = -3*j - 137*m + 138*m, -j - 2*m + 75309 = 0. What are the prime factors of j? 7, 31, 347 Let g(j) = -90*j - 99. Let i be g(-36). Let u = 4475 - i. List the prime factors of u. 2, 23, 29 Suppose 3*n - 9 = -c - 0*n, 23 = 4*c - n. Let w = -106 + 108. Suppose 3*a - 4*m = 8*a - 1052, w*m = c. What are the prime factors of a? 2, 13 Suppose 8*w + 3*g = 6*w - 8, 5*g + 20 = 0. Suppose 2943 = 25*r + w*r. What are the prime factors of r? 109 Let j = 335 + -331. Let o = 281 - j. What are the prime factors of o? 277 Let r = -67 - 11. Let j = r + 66. What are the prime factors of ((-176)/(-24))/((-2)/j)? 2, 11 Let p = -105 - -107. Suppose -5*c + 121 = 6*w - 2*w, 0 = p*c - w - 51. What are the prime factors of c? 5 Suppose -2*r + 0*r + 48 = 4*a, 3*r = 3*a - 54. Suppose -3075 = -a*n + 6459. List the prime factors of n. 3, 227 Suppose 14*w + 23*w - 188839 - 174094 = 0. List the prime factors of w. 17, 577 Let s = -107 + 75. Let l = s + 31. What are the prime factors of 1 + 3 - (l + -2)? 7 Let l(p) = 22*p - 14. Let t be l(1). Suppose 306 + 638 = t*g. List the prime factors of g. 2, 59 Let z = 2 + 3. Suppose 5*w + 11 - 21 = 0. Suppose z*t = 4*r + 219, t + r + 44 = w*t. What are the prime factors of t? 43 Let c(z) = -6*z - 3. Let a be c(-4). Let l = a + -6. Suppose -113 + l = -t. What are the prime factors of t? 2, 7 Let c = 1524 + 545. Let w = c + -1307. List the prime factors of w. 2, 3, 127 Let g = 56 + -53. Let u be ((-42)/(g/(-1)))/(3/(-6)). List the prime factors of (u/20 - -1) + (-44)/(-10). 2 Let w(b) = -218*b + 10. Let m be w(1). Let v = 350 + m. What are the prime factors of v? 2, 71 Suppose -4*t + 5*p = t + 20, 0 = 4*t + 4*p + 16. List the prime factors of (-1)/(t/(-4972)*-1). 11, 113 Let t(d) = -5*d - 18 + 2*d - 9*d**2 - 7*d - 19762*d**3 + 19761*d**3. Let g be 18/8*4/(-1). List the prime factors of t(g). 2, 3 Suppose -4*n - 5*p + 7682 = 0, 97*n - 3880 = 95*n + 4*p. List the prime factors of n. 2, 241 Let q = 6182 - -6154. What are the prime factors of q? 2, 3, 257 Let d(a) = -106*a - 2. Let b be 2/3*(-66)/(-4). Suppose 0*o = -11*o - b. List the prime factors of d(o). 2, 13 Let t(p) = -111*p + 15901. What are the prime factors of t(141)? 2, 5 Let g(v) = -4*v + 71. Let h be g(15). Suppose -6*y - l = -h*y + 4337, 3*l - 4349 = -5*y. List the prime factors of y. 2, 7, 31 Suppose 0 = c - 3*k - 2, 2*c - 4*k - 6 = 0. Suppose -17 = f - 3*g, -8 - 17 = f - c*g. What are the prime factors of (896/80)/((-1)/f)? 2, 7 Let m = 9752 - -8143. Suppose -3474 = 33*h - m. What are the prime factors of h? 19, 23 Suppose 3*d + 5*k - 13 + 23 = 0, 3*d - 8 = 4*k. Suppose d = 39*b - b - 1672. What are the prime factors of b? 2, 11 Suppose 9*r - 103096 = -155*r + 1687128. What are the prime factors of r? 2, 2729 Let c(h) = h**3 - 56*h**2 - 102*h - 19. What are the prime factors of c(62)? 23, 727 Suppose -3*n = -0*n. Suppose 79*c = 45*c + 170. Suppose 4*g = c*t + 5 - 60, n = -2*t + 3*g + 15. List the prime factors of t. 3, 5 Let w(t) = 156*t**3 - 2*t + 1. Let n be w(2). Suppose 3*y - 2*c - n = -9859, -3*y - 4*c = 8638. List the prime factors of y/(-24) - (-3)/(-4). 7, 17 Let f(i) = 9*i**2 - 239*i + 159. What are the prime factors of f(30)? 3, 11 Let x(u) = u**3 - 20*u**2 + u - 13. Let v be x(20). Suppose 0 = 4*r - v*r + 444. Suppose -4*j + 0*j + r = 0. List the prime factors of j. 37 Suppose 3*k - 674 = k. Suppose 4*x - 2*j = j + 1384, x - k = 3*j. Suppose -49 + x = 5*l. List the prime factors of l. 2, 3, 5 Let s(n) = n**2 - 7*n - 17. Let c(j) = 3*j - 18. Let g be c(9). Let k be s(g). Let w(b) = 5*b**3 - 2*b**2 + 2*b - 1. What are the prime factors of w(k)? 2 Suppose 0 = -13*h - 1456 + 6747. Let l = -123 + h. List the prime factors of l. 2, 71 Suppose 92 = 4*z - 468. Let k = 146 - z. List the prime factors of k. 2, 3 List the prime factors of (4056 - (1 - 4)) + (-5 - -4). 2, 2029 Let u = -102 - -120. Suppose 14*p + 144 = u*p. What are the prime factors of p? 2, 3 Suppose -4*p + 6 = 3*n, 0 = -4*n - 3*p - 0*p + 8. Suppose -38 = -n*r + 466. Suppose -156 - r = -6*i. List the prime factors of i. 2, 17 Let f(p) = 4*p**2 + 120*p - 2015. What are the prime factors of f(64)? 17, 1297 Let v(p) be the first derivative of p**6/360 - p**5/60 + 21*p**4/8 - 11*p**3/3 + 36. Let o(z) be the third derivative of v(z). List the prime factors of o(0). 3, 7 Suppose -31 = 2*c + 19. Let q = -23 - c. Suppose q*o - 600 = -4*o. What are the prime factors of o? 2, 5 Let n(w) = 4*w**3 + 240*w**2 - 148*w - 78. What are the prime factors of n(-60)? 2, 3, 163 Suppose -2*w - 17 = 3*y - 0, 3*y + 10 = 5*w. List the prime factors of (2 + -3 - -131) + w. 3, 43 Suppose 0 = 8*z - 5*z - 9. Suppose -4*m = -4*s - 616, z*m + 0*s - 454 = -s. Suppose 5*i = -v + 96, -2*v + 0*i - 2*i = -m. What are the prime factors of v? 71 Let m(p) = -24*p**2 + 63*p + 10. Let q(l) = -60*l**2 + 158*l + 24. Let f(z) = 12*m(z) - 5*q(z). List the prime
{ "pile_set_name": "DM Mathematics" }
*r + 5. Let d be m(-8). Let c = d + -42. Let h(a) = a + 2. Let n(k) = 9*k + 21. Calculate c*h(b) + 2*n(b). -3*b Let i = -14 + 7. Let d = i + 10. Let f(q) = -2 - 14*q**2 - 8 + 24 + 5*q. Let u(t) = 5*t**2 - 2*t - 5. What is d*f(s) + 8*u(s)? -2*s**2 - s + 2 Let t(i) = i**2 + 10*i - 15. Let b(h) = h**2 + 6*h - 8. Let o(j) = -5*b(j) + 3*t(j). Suppose 4*r + 16 = -0*r. Let c(d) = -2*d**2 - 6. Calculate r*o(a) + 3*c(a). 2*a**2 + 2 Let g(r) = 5*r**2 - 2*r - 27. Let u(q) = -11*q**2 + 5*q + 55. Give -5*g(a) - 2*u(a). -3*a**2 + 25 Let b(o) = -o + 1. Let i(a) = 11*a + 2. Let f(q) = -6*b(q) - i(q). Let g = -20 - -30. Let z(r) = -3 + g*r - 4*r + 12. Give 7*f(k) + 6*z(k). k - 2 Let j(b) = 142*b + 5. Let i(w) = -2*w + 1. Determine 3*i(s) - j(s). -148*s - 2 Let f(d) = 2*d**2 + 4*d + 3. Suppose -56 = -7*l + 3*l. Let b(s) be the third derivative of -s**5/12 - 3*s**4/8 - 7*s**3/6 - 9*s**2. Give l*f(k) + 6*b(k). -2*k**2 + 2*k Let y(k) be the third derivative of -k**4/12 + k**3/2 - k**2. Let f(g) = -3*g + 4. Let s = -79 - -58. Let a = s + 26. What is a*f(n) - 6*y(n)? -3*n + 2 Suppose 31*g + 166 - 11 = 0. Let a(u) = -21*u**2 - 5. Let o(d) = 11*d**2 + 3. Give g*o(z) - 3*a(z). 8*z**2 Let h(o) = -340*o**2 + 65*o. Let c(z) = -31*z**2 + 6*z. Calculate -65*c(m) + 6*h(m). -25*m**2 Let f(a) = a**2 + 5*a + 2. Let g be f(-5). Suppose 57 = 3*w + g*v, 0*w = 4*w - 3*v - 59. Let n(o) = -14*o - 17. Let q(d) = 5*d + 6. Give w*q(l) + 6*n(l). l Let x = -1967 + 1966. Let i(a) = -4*a**2 - 2*a + 2. Let f(h) = h**2 - h - 1. Calculate x*i(z) - f(z). 3*z**2 + 3*z - 1 Let f be ((-42)/(-28))/((-3)/(-22)). Suppose -4*c + 45 = -2*g + f, c = 5. Let q(n) = 2*n**3 - n**2. Let z(w) = w**3 - w**2. Calculate g*z(h) + 4*q(h). h**3 + 3*h**2 Let u = 70 - 76. Let f(o) be the third derivative of o**5/20 - 5*o**4/24 - 6*o**2. Let m(p) = -p**2 + 2*p. What is u*f(r) - 15*m(r)? -3*r**2 Let h(i) = -4*i - 3. Suppose -3*n + 13*n = 460. Let o(y) = -96 + 52 + n + 2*y. Let k(u) = -u**2 + u - 5. Let t be k(0). Give t*o(l) - 3*h(l). 2*l - 1 Let o(l) = 3*l**2 - 11*l - 25. Let c(a) = -a**2 + 5*a + 13. Determine -9*c(v) - 4*o(v). -3*v**2 - v - 17 Let t(m) = 17*m**3 + 3*m**2 + 3*m + 5. Let q(k) = k**2 + k + 1. Determine -3*q(w) + t(w). 17*w**3 + 2 Let x be 10/3*18/5. Let u(r) = -2*r**2 + 12*r. Let t(g) = g. Let b = -43 + 50. Suppose -2*y - b = k - 0*y, 4*k + 4*y + 16 = 0. Determine k*u(z) + x*t(z). 2*z**2 Let f(n) = 2*n**3 + 13*n**2 - 3*n + 2. Let j(k) = k**2 + k - 1. What is -f(r) - j(r)? -2*r**3 - 14*r**2 + 2*r - 1 Let u(t) = -2*t. Let o(f) = 3*f + 73. Determine -o(m) - 2*u(m). m - 73 Let m(d) = -4*d**3 + 6*d + 6. Let j(t) = -5*t**3 + 5*t + 6. Calculate -6*j(u) + 5*m(u). 10*u**3 - 6 Let n(a) = a**2 - 2*a + 1. Let z(t) = -546*t**2 + 1428*t - 714. Give -4284*n(l) - 6*z(l). -1008*l**2 Let y(s) = 4*s**3 + s - 161. Let l(w) = w**3 - 1. Determine 2*l(g) - y(g). -2*g**3 - g + 159 Let t be (4 - (-38)/(-8))/((-6)/8). Let x(a) = a - 1. Let o(r) be the second derivative of 0 + 2*r + 3*r**2 - 1/3*r**3. Calculate t*o(p) + 4*x(p). 2*p + 2 Let h(m) = -2*m**2 - 12*m + 13. Let z(x) = -9*x**2 - 58*x + 67. Let t(r) = -11*h(r) + 2*z(r). Let w(i) = i**2 + 4*i - 2. Determine 2*t(g) - 9*w(g). -g**2 - 4*g Let w(k) = -4*k + 3. Let m be 12/2 - 3 - 4. Let u be m*1/(3/(-18)). Let i(v) be the third derivative of -v**4/24 + v**3/6 - v**2. Give u*i(l) - 2*w(l). 2*l Let k = 29 - 30. Let o(d) = 3*d + 7. Let j(f) = f + 3. Let l(s) = -1. Let q(m) = -j(m) - 2*l(m). Calculate k*o(t) - 6*q(t). 3*t - 1 Let l(g) = -g**2 - 32*g + 106. Let k be l(3). Let s(n) = -n**2 - n - 1. Let z(v) = -10*v**3 - 20*v**2 - 20*v - 20. Calculate k*z(y) - 20*s(y). -10*y**3 Let n(r) be the first derivative of -r**2/2 + 29. Suppose 12*p + 2*p = 14. Let h = -1 - -6. Let k(b) = 2*b**3 + 3*b. What is h*n(f) + p*k(f)? 2*f**3 - 2*f Let o(r) = r**3 + 2*r**2 + 4*r + 28. Let x(k) = -k**3 - 2*k**2 - 5*k - 27. Determine -4*o(y) - 3*x(y). -y**3 - 2*y**2 - y - 31 Let w(y) = 2*y**3 - 2. Let m(a) = 5*a**3 - 147*a**2 - 6. What is -m(o) + 3*w(o)? o**3 + 147*o**2 Let b(v) = -3*v - 68. Let u(x) = -x - 23. Determine -2*b(l) + 7*u(l). -l - 25 Let f(q) = q - 3. Let l(w) be the second derivative of w**3/6 - w**2/2 + 125*w. What is -f(z) + 2*l(z)? z + 1 Let l(f) = 12 - 106*f**2 + 5*f - 6 + 109*f**2 + f. Let t(i) = -2*i**2 - 5*i - 5. Determine 4*l(n) + 5*t(n). 2*n**2 - n - 1 Let i(v) = -119*v**2 - 42*v - 42. Let p(r) be the second derivative of -7*r**4/6 - 5*r**3/6 - 5*r**2/2 - 6*r - 7. Determine 5*i(y) - 42*p(y). -7*y**2 Let u(d) = 2*d. Let s(p) = 13*p + 3. Let t(f) = s(f) + 2*u(f). Let z(k) = 0 - 2 - 6*k + 1. Give 4*t(g) + 11*z(g). 2*g + 1 Let m(j) = 2*j**2 + 27*j - 2. Let a(z) = 1. Give -4*a(k) - m(k). -2*k**2 - 27*k - 2 Let d(g) = -3*g - 96. Let v(n) = n + 1. Give -d(x) - 8*v(x). -5*x + 88 Let q(x) = 18*x**2 + 11. Let f(k) = 9*k**2 + 5. What is -5*f(g) + 3*q(g)? 9*g**2 + 8 Let z(w) = -23 + 4*w**2 + 3*w + 33 + 13 - 19. Let o(r) be the second derivative of r**5/20 + 5*r**4/12 + 2*r**3/3 + 5*r**2/2 + r. What is 4*o(m) - 5*z(m)? 4*m**3 + m Let k(g) be the first derivative of 8*g**2 - 5*g**2 + 7*g + 2*g**2 - 5. Let r(v) = -7*v - 5. Determine -5*k(c) - 7*r(c). -c Let a(t) be the first derivative of 7*t - 269. Let c(y) = -y + 14. What is 5*a(h) - 2*c(h)? 2*h + 7 Let j(y) = -14*y**3 + 5*y**2 - 5*y - 5. Let b(q) be the third derivative of -7*q**6/120 + q**5/20 - q**4/8 - q**3/2 + 193*q**2. Calculate -5*b(x) + 3*j(x). -7*x**3 Let p(g) = 4*g + 22. Let a(y) = 5*y + 29. Let q(w) = -3*a(w) + 4*p(w). Let j(b) = 2*b**2 + 6*b. Calculate -j(c) + 6*q(c). -2*c**2 + 6 Let r(b) = 4*b + 2. Let v(z) = 2 - z - 3 + 0. Suppose 38*x = 53*x - 45. Suppose 0 = -3*q - q + 4. Give q*r(y) + x*v(y). y - 1 Let t(l) = l**2. Let y be 76/95*70/(-4). Let i be 1/(-5) - (-304)/20. Let c be i/(-21) - (-4)/y. Let q(o) = -7*o**2. Determine c*q(k) - 6*t(k). k**2 Let c(k) = -56640*k + 472. Let g(m) = 717*m - 6. Determine -3*c(p) - 236*g(p). 708*p Let s(c) = -8*c**2 + 7*c + 3. Let z(q) = q**2 - 8*q**2 + 1 - 8*q - 5 - 2*q**2 + 18*q**2. What is 7*s(r) + 6*z(r)? -2*r**2 + r - 3 Suppose 6 = h + 3*h - 2*t, 21 = 4*h - 5*t. Let j be 2/3*h/((-2)/(-3)). Let v(q) = 4*q**2 - 3. Let b(s) = s**2 - s - 1. Give j*v(o) + 2*b(o). -2*o**2 - 2*o + 1 Let r(g) = -5434*g. Let j(u) = -1085*u. Calculate -11*j(f) + 2*r(f). 1067*f Let s(d) = 14*d**3 + 8*d**2 + d - 8. Let n(f) = -f - 1. Let u(i) = -5*i**3 - 3*i**2 + 5*i + 8. Let z(q) = -5*n(q) - u(q). Give 3*s(w) - 8*z(w). 2*w**3 + 3*w Let j(t) = 11*t**3 - 4*t + 6. Let f(r) = 21*r**3 - 10*r + 11. Determine -2*f(q) + 5*j(q). 13*q**3 + 8 Let f(s) = 7*s - 32. Let w(k) = -k - 2. Give -f(l) - 6*w(l). -l + 44 Let r(o) = -o**2 + 1 + 16*o**3 + 3 + 3 - 1. Let t(x) = 3*x**3 + 1. Give 2*r(a) - 11*t(a). -a**3 - 2*a**2 + 1 Let h(l) be the second derivative of -5*l**3/6 + 3*l**2 - 5*l - 4. Let c(k) = -6*k + 7. What is 3*c(x) - 4*h(x)? 2*x - 3 Let p(w) = 17*w**2 - 132*w + 5. Let i(x) = -20*x**2 + 131*x - 6. Calculate -5*i(a) - 6*p(a). -2*a**2 + 137*a Let z be (24/(-108))/(0 + 2/(-3)). Let w(k) be the first derivative of k + 0*k**2 - z*k**3 - 1. Let n(b) = b**3 + 2*b**2. Calculate n(u) + 2*w(u). u**3 + 2 Let u(b) = 8*b**2 + 3*b - 3. Let h(n) = 7*n**2 + 3*n - 5. What is -7*h(i) + 6*u(i)? -i**2 - 3*i + 17 Let i(v) = -9*v**2 - 2*v - 3. Let q(o) be the third derivative of 17*o**5/60 + o**4/8 + 5*o**3/6 + o**2 - 11*o. What is -5*i(n) - 3*q(n)? -6*n**2 + n Let y(q) = 3. Let x(j) = 7. Let n(v) = x(v) - 2*y(v). Let d(s) = -2*s - 1. Determine d(c) + 5*n(c). -2*c + 4 Let p(t) = 3*t**2 + 12*t + 16. Let z(q) = -q**2 - q - 3. Let k(o) = p(o) + 5*z(o). Let l(a) = a**2 - 6*a - 1. Calculate -4*k(n) - 5*l(n). 3*n**2 + 2*n + 1 Let x(o) = -5*o**2 + 2*o + 2. Let y(l) be the first derivative of 14*l**3/3 - 7*l**2/2 - 7*l - 247. What is 14*x(q) + 4*y(q)? -14*q**2 Let j(l) = -4*l**2 + l + 1. Let y(s) = 21*s**2 - 4*s + 10. Determine -5*j(t) - y(t). -t**2 - t - 15 Let y(u) = u**2 - u - 1. Let x(z) = -15*z**2 + z - 2. Calculate -x(n) - y(n). 14*n**2 + 3 Let l(u) = u + 3. Let k(h) = h - 3*h + 1 + 3*h. Calculate -6*k(x) + 2*l(x). -4*x Let l(p) = 12*p + 83 - 169 + 78. Let g(o) = o - 1. Give 8*g(r) - l(r). -4*r Let c(a) = 155*a**2 + 45. Let r(z) = 7*z**2 + 2. Suppose 0 = 8*v - 221 - 107. Suppose 90 = 43*f - v*f. Determine f*r(q) - 2*c(q). 5*q**2 Let z(h) = 16*h +
{ "pile_set_name": "DM Mathematics" }
f 447975523. 73, 6136651 What are the prime factors of 13437318? 2, 3, 71, 31543 What are the prime factors of 28001944? 2, 43, 81401 What are the prime factors of 918928693? 17, 127, 157, 2711 List the prime factors of 1175085587. 13, 47, 1283, 1499 List the prime factors of 250031441. 11, 83, 273857 What are the prime factors of 5316530752? 2, 13, 19, 31, 571 List the prime factors of 1581188733. 3, 43, 131, 31189 What are the prime factors of 147934178? 2, 7, 1087, 9721 What are the prime factors of 71185999? 571, 124669 What are the prime factors of 321472041? 3, 11, 2297, 4241 List the prime factors of 71332517. 19, 197597 List the prime factors of 1120223. 13, 86171 List the prime factors of 241466393. 7, 34495199 What are the prime factors of 52296657? 3, 7, 29, 79, 1087 What are the prime factors of 253954668? 2, 3, 11, 139, 13841 List the prime factors of 294827879. 8663, 34033 What are the prime factors of 2103483318? 2, 3, 12143, 28871 What are the prime factors of 323431437? 3, 7, 15401497 List the prime factors of 58850532. 2, 3, 13, 17, 569 What are the prime factors of 23584257? 3, 223, 3917 List the prime factors of 274829547. 3, 19, 199, 24229 List the prime factors of 28686571. 28686571 List the prime factors of 55182254. 2, 107, 257861 What are the prime factors of 2151193591? 107, 137, 146749 List the prime factors of 191855112. 2, 3, 7993963 List the prime factors of 43924641. 3, 23, 257, 2477 What are the prime factors of 297648044? 2, 109, 682679 List the prime factors of 42718384. 2, 19, 140521 List the prime factors of 415334056. 2, 29, 1790233 What are the prime factors of 54863286? 2, 3, 9143881 What are the prime factors of 985223410? 2, 5, 641, 153701 What are the prime factors of 21577560? 2, 3, 5, 179813 What are the prime factors of 8032508? 2, 11, 311, 587 List the prime factors of 19430005. 5, 7, 555143 List the prime factors of 583626022. 2, 7, 3251, 12823 List the prime factors of 65700570. 2, 3, 5, 13, 168463 What are the prime factors of 2480560940? 2, 5, 11, 13, 149, 5821 List the prime factors of 6571371534. 2, 3, 7, 13, 12035479 List the prime factors of 23855651. 23855651 List the prime factors of 471052983. 3, 17, 109, 84737 List the prime factors of 335873449. 3301, 101749 What are the prime factors of 268765921? 2927, 91823 List the prime factors of 19891624. 2, 73, 34061 What are the prime factors of 62815045? 5, 19, 43, 15377 What are the prime factors of 86304334? 2, 71, 239, 2543 List the prime factors of 74824006. 2, 613, 61031 What are the prime factors of 1070810305? 5, 214162061 What are the prime factors of 48798374? 2, 487, 50101 List the prime factors of 1063582554. 2, 3, 43, 4122413 What are the prime factors of 149147341? 7, 17, 23, 54493 What are the prime factors of 40445192? 2, 47, 263, 409 What are the prime factors of 37649143? 7, 431, 12479 What are the prime factors of 442097682? 2, 3, 13, 17, 37, 9011 What are the prime factors of 1422391092? 2, 3, 7589, 15619 List the prime factors of 205110414. 2, 3, 1033, 3677 List the prime factors of 67382322. 2, 3, 7, 17, 19, 4967 What are the prime factors of 285916151? 23, 2437, 5101 What are the prime factors of 5658708497? 13, 19, 97, 257, 919 List the prime factors of 106889813. 313, 341501 What are the prime factors of 173514076? 2, 29, 149, 10039 List the prime factors of 31129957. 3203, 9719 List the prime factors of 1974930997. 13, 53, 109, 26297 What are the prime factors of 36360433? 17, 19, 112571 What are the prime factors of 202436553? 3, 11, 6134441 What are the prime factors of 1531419740? 2, 5, 79, 969253 List the prime factors of 72244977. 3, 7, 3440237 List the prime factors of 3729191579. 19, 196273241 What are the prime factors of 69884405? 5, 13976881 What are the prime factors of 276512247? 3, 11, 73, 38261 List the prime factors of 588757553. 6163, 95531 List the prime factors of 45302661. 3, 5033629 List the prime factors of 1549954405. 5, 309990881 What are the prime factors of 5265784200? 2, 3, 5, 643, 13649 What are the prime factors of 100200647? 100200647 List the prime factors of 9056909995. 5, 7, 103, 163, 15413 List the prime factors of 240035964. 2, 3, 7, 2857571 List the prime factors of 548547550. 2, 5, 73, 150287 List the prime factors of 2144849633. 37, 53, 1093753 List the prime factors of 955661360. 2, 5, 29, 411923 List the prime factors of 66985025. 5, 2679401 What are the prime factors of 8363873? 7, 271, 4409 What are the prime factors of 1388522559? 3, 2221, 208393 List the prime factors of 3116695929. 3, 16937, 61339 List the prime factors of 215487810. 2, 3, 5, 467, 1709 List the prime factors of 63791045. 5, 619, 20611 List the prime factors of 748781031. 3, 17, 23, 638347 What are the prime factors of 52977842? 2, 26488921 List the prime factors of 1079089088. 2, 7, 11, 218971 What are the prime factors of 44589060? 2, 3, 5, 247717 What are the prime factors of 437776886? 2, 139, 1574737 List the prime factors of 75370969. 75370969 List the prime factors of 54881209. 54881209 What are the prime factors of 124963759? 31, 4031089 What are the prime factors of 48124731? 3, 983, 16319 What are the prime factors of 2130487116? 2, 3, 43, 743, 5557 List the prime factors of 65996476. 2, 7, 13, 23, 7883 List the prime factors of 284268693. 3, 1493, 63467 What are the prime factors of 446947572? 2, 3, 37245631 List the prime factors of 809464941. 3, 29980183 List the prime factors of 24446723. 7, 23, 317, 479 What are the prime factors of 255374562? 2, 3, 1021, 41687 List the prime factors of 16259740. 2, 5, 7, 116141 What are the prime factors of 481433668? 2, 271, 444127 List the prime factors of 2509721143. 211, 11894413 What are the prime factors of 3876448246? 2, 11, 277, 636109 List the prime factors of 5519200868. 2, 83, 16624099 List the prime factors of 75309142. 2, 37654571 List the prime factors of 339317072. 2, 31, 727, 941 What are the prime factors of 1700155149? 3, 7, 11, 669089 List the prime factors of 181910551. 139, 1308709 List the prime factors of 777252164. 2, 13, 1483, 10079 What are the prime factors of 182642333? 23, 7940971 What are the prime factors of 42844257? 3, 241, 19753 What are the prime factors of 5039759762? 2, 2519879881 What are the prime factors of 2109686039? 47, 2819, 15923 List the prime factors of 2921369541. 3, 23, 1049, 40361 What are the prime factors of 365210506? 2, 182605253 What are the prime factors of 95545060? 2, 5, 13, 89, 4129 What are the prime factors of 181820484? 2, 3, 1683523 What are the prime factors of 69613482? 2, 3, 11602247 List the prime factors of 49718872. 2, 7, 887837 List the prime factors of 17596021. 113, 155717 What are the prime factors of 444934083? 3, 11, 79, 170669 What are the prime factors of 423225345? 3, 5, 647, 43609 List the prime factors of 1282927564. 2, 1447, 221653 What are the prime factors of 109476951? 3, 36492317 What are the prime factors of 3155782828? 2, 11, 17, 4218961 List the prime factors of 5882101. 5882101 What are the prime factors of 2016333852? 2, 3, 13, 2141, 6037 What are the prime factors of 290728640? 2, 5, 908527 List the prime factors of 107276922. 2, 3, 23, 259123 List the prime factors of 2978473027. 37, 389, 206939 List the prime factors of 14614942. 2, 41, 178231 What are the prime factors of 150570594? 2, 3, 701, 11933 List the prime factors of 1904174519. 13, 109, 499, 2693 List the prime factors of 52426291. 47, 1115453 List the prime factors of 873677839. 23, 157, 313, 773 List the prime factors of 53299216. 2, 17, 29, 233 List the prime factors of 705870550. 2, 5, 7, 11, 183343 What are the prime factors of 1525292164? 2, 11, 34665731 What are the prime factors of 2359659449? 7, 17, 953, 20807 List the prime factors of 3975901173. 3, 147255599 What are the prime factors of 476064699? 3, 11, 1311473 What are the prime factors of 61163439? 3, 20387813 What are the prime factors of 214608356? 2, 43, 109, 11447 List the prime factors of 430469636. 2, 199, 479, 1129 What are the prime factors of 181332427? 89, 103, 131, 151 What are the prime factors of 43903799? 167, 262897 List the prime factors of 84204799. 7, 571, 21067 What are the prime factors of 93661061? 13, 7204697 List the
{ "pile_set_name": "DM Mathematics" }
gest value? (a) m (b) s (c) 0.3 a Suppose 5*t = -3 + 8. Let r = -151 - -151.5. What is the smallest value in t, r, 0.2? 0.2 Let v be 20/175 + 2/7. Let l be 3 + (-4 - -2 - 0). What is the third biggest value in v, -0.3, l? -0.3 Let f = 0.4 + -4.4. Let z(h) = h**2 - 6*h + 3. Let t be z(5). Which is the second biggest value? (a) -3 (b) t (c) f a Suppose j + 3*j - 3*s = 326, -5*j = 3*s - 394. Suppose 20 = q - 4*k, -q + j = 3*q + k. Suppose -4*h - q = -0*h. What is the third smallest value in h, 3, 0? 3 Let r = 0.09 - 0.19. Which is the second smallest value? (a) r (b) 0.1 (c) -2/9 a Let k = 0.12 - 7.12. Let x = -2.5 - -13.5. Let t = x + k. What is the smallest value in t, 1/3, -3? -3 Let w = -0.047 - -0.547. Let q = -3 + 6. Which is the second smallest value? (a) -3 (b) w (c) q b Let s = -120 + 119.6. What is the second biggest value in s, -2, -2/9? s Let f = 1.1 + -2. Let h = 1.6 - 1.5. Let r = h - f. Which is the third biggest value? (a) -3 (b) 0.4 (c) r a Let l = -7.1 - -2.3. Let o = l - -1.3. Let q = 3 + o. Which is the third biggest value? (a) -2/3 (b) q (c) 0 a Let z = 5 + -3. Let x = 40.83 - 41. Let u = x - 0.23. Which is the smallest value? (a) u (b) 0.2 (c) z a Let o = 67 + -67.04. Which is the second biggest value? (a) 3/7 (b) o (c) 1 (d) 0 a Let z = 2 - 2. Let k = 2 + z. Let q = 0.9 - -0.1. What is the third biggest value in -0.3, k, q? -0.3 Let z = -0.14 + -0.16. Which is the second smallest value? (a) -2 (b) 1 (c) z c Let v = -31 - -278/9. Which is the second smallest value? (a) -5 (b) v (c) 3/5 b Let g = 15 - 4. Let r = -11.2 + g. Let s = 0.6 - 0.1. Which is the second biggest value? (a) r (b) 4/5 (c) s c Let g = 1/15 - 2/5. Which is the third biggest value? (a) 4 (b) -0.5 (c) g b Let z = -0.39 + -0.01. Let m = -0.1 + z. Which is the biggest value? (a) -0.3 (b) 1 (c) m b Let t = -32 - -15.9. Let d = 15 + t. Let n = d - -1. Which is the smallest value? (a) n (b) 0 (c) -4 c Let x = -0.03 - 0.07. Let a = x + 0. What is the third biggest value in -1, a, 4? -1 Let y = 1 + 5. What is the second biggest value in -4/3, y, -0.3? -0.3 Suppose -2 + 6 = 4*s. Let l be ((-1)/5)/(s/2). Suppose -1 = 3*m + 8. What is the smallest value in l, 3, m? m Let j = 0.4 - -3.6. Suppose 1 = -2*t - 5. What is the second smallest value in j, -0.5, t? -0.5 Let u = 4/9 - 43/36. Let p = -1.29 - -0.79. Which is the third biggest value? (a) u (b) 3 (c) p a Let m = 13 + -13. Suppose -4*x = v + 2*v + 20, 10 = -2*x + 2*v. Which is the third biggest value? (a) x (b) 5 (c) m a Let k = -4 - -14. Let q = k - 10.2. What is the third biggest value in -3, -1, q? -3 Let i = 2.3 - -3.7. Let j = 0.03 - -0.27. Which is the smallest value? (a) i (b) j (c) -3 c Let b(i) = i**3 - 6*i**2 - 9*i + 16. Let t be b(7). Let r = 3 - -13. Suppose 0 = 6*w - t*w + r. What is the third smallest value in 0, w, -2? 0 Let r = -0.2 - -0.1. Let n = -0.01 + 4.01. Let l = n - 3.8. What is the biggest value in l, 0, r? l Let m = -0.072 - -4.172. Let g = -1.9 - m. Which is the third smallest value? (a) -0.3 (b) -2/3 (c) g a Let n(i) = -i**2 + 9*i - 3. Let b be n(8). Suppose 3*w - 25 = -b*g - 0*g, -2*w - 20 = -4*g. What is the biggest value in -0.5, 0.3, g? g Let p = -502/5 + 100. Let h = -25 + 14. Let l = 11.5 + h. Which is the second biggest value? (a) 0.4 (b) l (c) p a Let a = 1.41 - 1.81. What is the biggest value in -1/4, -5, a, 0.3? 0.3 Let b = 1 + -1.1. Suppose -4*q + z - 4 = 0, 3*z - 12 = 2*q + 5*z. What is the third biggest value in b, q, -3/5? q Let r = 42 + -38. Let y = -20 + 10. Which is the third smallest value? (a) r (b) y (c) -0.2 a Let x = 10/1241 - -8/73. Which is the biggest value? (a) 5 (b) x (c) 0.08 a Let d = -0.1 + -0.1. Let t = -8.4 - -8. What is the third smallest value in d, t, 4? 4 Let r = 2 - 1.7. Suppose -378 + 1398 = -3*l. Let w be (-4)/(-10) - (-96)/l. What is the second smallest value in w, r, 3? r Let l = 0 + -5. Suppose -3*h - m - 13 = -8, 5*h - m = 5. What is the second biggest value in l, h, 4/9? h Let c = -2 + 3. Let u = 6 - c. What is the second biggest value in 1/6, 0.3, u? 0.3 Let x = -16 - -17. Let i be 9/2 + x/2. What is the second smallest value in -0.4, 3/7, i? 3/7 Let d = 148 - 148. What is the third smallest value in d, 0.1, 2, 0.7? 0.7 Let q = -168 + 163. Which is the second biggest value? (a) 0 (b) q (c) 1 (d) -1/8 a Let j = -12.29 - -0.29. Let w = 14 + j. Which is the third biggest value? (a) -3 (b) 4 (c) w a Let j be 44/7 - 12/42. Let v be (-2 + (j - 1))*1. Which is the smallest value? (a) 2/9 (b) v (c) -4 c Let o = 0.09 + 0.01. Let w = 3 - 2. Which is the third biggest value? (a) o (b) w (c) -5 c Let j = -2 + 2.2. Let r = 0.6 - j. Let d = -2 - -1.8. What is the third smallest value in d, r, -5? r Let t = -13 - -16. Which is the third smallest value? (a) t (b) 1/4 (c) -5 a Let i = -93 + 93.69. Let f = i + -0.09. What is the third smallest value in f, 1/2, 0.3? f Let y be 4 - ((-252)/(-22))/3. Which is the biggest value? (a) -2 (b) y (c) -1/6 b Let l be (13 - 14)/(1/4). Suppose -3*u + 17 = -2*w, 0 = -3*w + 2*w - 4. Which is the smallest value? (a) u (b) -1 (c) l c Let o = -1 + 0.5. Let d = 97.8 + -88. Let z = -10 + d. Which is the second biggest value? (a) z (b) o (c) 3 a Let d be (-3 - -4)*3/(-2 + 1). Let p = -3.3 - 0.3. Let w = -0.6 - p. What is the second biggest value in -4, d, w? d Let b be ((-6)/(-5))/(2/(-10)). Let i be (b/(-33) + 0)/1. Let l be ((-9)/(-153))/((-1)/(-2)). What is the third smallest value in -0.2, i, l? i Let u be ((-1)/(3/2))/6. Let o = 4/9 + u. What is the third smallest value in 5, o, 0.4? 5 Let g = -0.69 + 0.49. What is the second biggest value in 0.3, 3, g? 0.3 Let v = 2.6 - -0.4. Let m = -2.7 + v. Which is the second smallest value? (a) -2 (b) m (c) 0.5 b Let r = -0.06 - 4.94. Let z = -35 + 33. What is the second biggest value in r, 3/5, z? z Suppose -48 = -43*f - 177. Let t = -2.7 - -3. What is the biggest value in t, f, -6/11? t Suppose 12 = 5*x - 3*x. Let l(p) = -2 + 3 - 2 + 7*p**2 - p**3 - 5*p - 2. Let w be l(x). Which is the third biggest value? (a) 2 (b) -0.2 (c) w b Let f(g) = 21*g + 1. Let y be f(1). Suppose -3*h - j - 24 = 0, h + 5*j + y = -0*h. What is the third biggest value in h, 0, 5? h Let y = 1.7 + 5.3. Let t = 7 - y. Which is the second smallest value? (a) -0.4 (b) t (c) -5 a Let g = -0.024 + -2.016. Let d = g + 2. Let o = 4.96 - d. What is the second biggest value in o, 3, -0.3? 3 Let z = -0.52 + 0.27. Which is the third biggest value? (a) z (b) -0.3 (c) 3 b Let f = -3 - -5. Let d = f - 1. Suppose -2*s - 24 = 4*x, 2*x + x = 4*s + 4. Which is the second biggest value? (a) s (b) 3 (c) d c Let s = 3.34 - 3.24. Let f = -0.2 - 0.3. What is the second smallest value in -0.1, s, f? -0.1 Let m(d) = d**2 - 7*d - 1. Suppose 0 = -3*u + 12 + 9. Let w be m(u). Which is the biggest value? (a) -1/7 (b) 4 (c) w b Let k(p) = p**2 - p + 5. Let z be k(0). Let x = 0 - z. Let r = 0 - 1. What is the third biggest value in -0.1, r, x? x Suppose 0 = 5*y - y - 36. Suppose -2*u = u + y. Let p = -3 - u. Which is the second biggest value? (a) 1/3 (b) 2 (c) p a Let v = 0.065 + -1.065. What is the biggest value in -0.1, v, -2? -0.1 Let c be 3/4 + (-5)/(-20). Let z be (-2)/(-6)*(-1)/c. What is the third smallest value in -2/9, 0, z? 0 Let z = -0.44 + 0.04. Let y = 0.2 + z. What is the third smallest value in -0.3, -1/7, y? -1/7 Let g be (28/(-21) - -1)/(3/4). Which is the third biggest value? (a) 1/5 (b) g (c) -0.2 b Suppose 0 = 2*o - o - 1. Let j be 1 - o/(18/15). Which is the second smallest value? (a) j (b) -3/2 (c) -3/7 c Let q = -124 + 499/4. Which is the third biggest value? (a) q (b) -2 (c) 0.03 b Let y = 0 - -4. Let q be ((-3)/(-6))/((-10)/4). Let j = -3 + 5. Which is the third smallest value? (a) j (b) q (c) y c Let j = -0.4 + 0. Let f be (-135)/165 + (-4)/22. Which is the second smallest value? (a) j (b) f (c) -0.5 c Let w = -7.3 - -7. Let n be ((-4)/(-10))/((-7)/(-10)). Which is the second biggest value? (a) w (b) -0.1 (c) n b Let d = 0.05 - 0.45. Let t = 0.3 + -0.3. Let l = d - t. What is the third smallest value in l, -1, 4? 4 Suppose -3*s = s + 4. What is the biggest value in 1, 4, s? 4 Suppose 4*u
{ "pile_set_name": "DM Mathematics" }
882*n Find the second derivative of f*y**4 + 17279860*f*y**2 + 360*f + 71780*y wrt y. 12*f*y**2 + 34559720*f What is the second derivative of -3761857*k**4*s + 6410128*k*s wrt k? -45142284*k**2*s What is the third derivative of 110576567*s**4 + 300869*s**2 + 6*s? 2653837608*s Find the second derivative of 4557*j**2*l**2*r**2 + 11192052*j**2*l*r**2 + l**2*r**2 + 4550*l**2 + 2*r**2 wrt l. 9114*j**2*r**2 + 2*r**2 + 9100 Find the third derivative of -349243*j*v**3 - 7250013*j - 5*v**3 - 33*v**2 wrt v. -2095458*j - 30 Find the second derivative of 1595940*f**2 - 2*f - 802397. 3191880 Find the third derivative of -483336709*f*j**3 + 2*f*j**2 + f*j - f - 2663*j**2 + 2283 wrt j. -2900020254*f Differentiate 36637536*z - 40500517. 36637536 Find the second derivative of -1053445*m**3 - 8*m**2 + 25356921*m. -6320670*m - 16 What is the first derivative of -177*p*q + 3767885*p*v - p - 8613*q*v - 7*q - 11*v + 2 wrt q? -177*p - 8613*v - 7 What is the third derivative of 8*v**5 + 6*v**4 + 444453*v**3 - 2*v**2 - 4223*v - 50200 wrt v? 480*v**2 + 144*v + 2666718 Find the third derivative of 1515046718*d**5 + 557081978*d**2 wrt d. 90902803080*d**2 Differentiate 58548509*u**3 + 53064364. 175645527*u**2 What is the second derivative of 304562681*z**2 - 485018126*z wrt z? 609125362 What is the second derivative of -171898*r**3 - 24*r**2 - 4669228*r wrt r? -1031388*r - 48 Find the third derivative of -29536033*b**5 + 2*b**3 + 2*b**2 - 1992487*b wrt b. -1772161980*b**2 + 12 Find the third derivative of -3426667*n**3 - 38*n**2 + 89*n - 3. -20560002 Find the third derivative of 17683302*d**3 - 14*d**2 + 135135*d wrt d. 106099812 What is the third derivative of 448603292*c**6 - 986181*c**2 + 36? 53832395040*c**3 Find the first derivative of 11*j*t**2 + j*t - 268060*j + 246163*t**2 - 147*t wrt j. 11*t**2 + t - 268060 What is the third derivative of 154*g*q**3*v**2 - 20*g*q**2*v**3 - g*q**2*v + 54659*g - 6165*q**3*v**3 + q**2*v**3 wrt q? 924*g*v**2 - 36990*v**3 What is the third derivative of 1171094*o**3 - 1074999*o**2 - 2? 7026564 What is the second derivative of 466*c**4 + c**3 + 60*c**2 - 27645214*c? 5592*c**2 + 6*c + 120 What is the third derivative of 21271*v**2*x**3 + 7*v**2*x**2 - 4*v**2*x + 11*v**2 - v*x**3 - 2*v*x - x**3 - 56*x wrt x? 127626*v**2 - 6*v - 6 What is the derivative of 14552*l**4 - 644*l**3 + 2*l**2 + 244944587? 58208*l**3 - 1932*l**2 + 4*l What is the derivative of 2*b*j*y**3 - 1354*b*j*y + 7*b*y - 19*j*y**3 - 289345*y**3 - 3 wrt j? 2*b*y**3 - 1354*b*y - 19*y**3 Find the third derivative of -74382814*d**2*h**3 + 6863*d**2*h**2 - 6446*d**2*h - 3*h**3 wrt h. -446296884*d**2 - 18 Find the first derivative of -4*y**4 - 16*y**2 - 30804*y - 37276620. -16*y**3 - 32*y - 30804 What is the third derivative of -8635755*r**3 + 3520232*r**2 wrt r? -51814530 What is the second derivative of -13*f**4 - 456*f**3 + f**2 - 2893596*f + 1? -156*f**2 - 2736*f + 2 What is the third derivative of -447*y**4 + 141807*y**3 + 19449*y**2 + 1989*y - 2? -10728*y + 850842 Find the second derivative of -193*a**2*g**2 + 21*a**2*g - 56249*g**5 - 2*g - 40716 wrt g. -386*a**2 - 1124980*g**3 What is the second derivative of -24*v**5 - 20*v**4 + 223*v**3 - 40065501*v? -480*v**3 - 240*v**2 + 1338*v Find the second derivative of -876457662*d**2 - 554809322*d wrt d. -1752915324 What is the third derivative of 364390*a**5*n**3 + 15*a**3*n**3 + 311*a**2*n**3 - 958*a*n**2 - 3*n**3 wrt a? 21863400*a**2*n**3 + 90*n**3 What is the third derivative of -6*c**3*h*z - 2*c**3*h - 2*c**3*z - 3084*c**3 + c**2*h - c**2 + 4087*c*h*z - 2*h*z - h - 17*z wrt c? -36*h*z - 12*h - 12*z - 18504 What is the derivative of 36956878*r**2 - 55437091 wrt r? 73913756*r Find the third derivative of -272309648*g**3 + 31*g**2 + 17*g + 8421 wrt g. -1633857888 Find the third derivative of -74151314*d**3 - 18*d**2 + 12*d + 30293 wrt d. -444907884 What is the second derivative of 67518*b**2*l**2 - b**2*l - b**2 - 746715*b*l - 7*l**2 - 2*l wrt l? 135036*b**2 - 14 What is the second derivative of 13068798*f**2*v**2 + 488605*f + 2*v**2 wrt f? 26137596*v**2 What is the derivative of 184697423*n + 22426336? 184697423 Find the second derivative of 26145644*u*w**2 - 1924355*u - 4*w wrt w. 52291288*u Differentiate -158705*h*p**2 + 1501*h*p + 2189219*h + 21 with respect to p. -317410*h*p + 1501*h What is the second derivative of 79626122*w**4 - 8276837*w? 955513464*w**2 What is the third derivative of -12558525*k**6 - k**4*x + 283564*k**2*x - 12*k**2 wrt k? -1507023000*k**3 - 24*k*x Differentiate 78*w**4 + 17442*w**2 - 18933694 wrt w. 312*w**3 + 34884*w What is the third derivative of 580370229*g**6 + 27196015*g**2 - 9 wrt g? 69644427480*g**3 What is the first derivative of 236*l**4 + 15*l**3 - 2*l**2 + 140*l - 20400800 wrt l? 944*l**3 + 45*l**2 - 4*l + 140 What is the third derivative of -452656430*a**6 - 4156*a**2 - 47388*a? -54318771600*a**3 What is the first derivative of 499037325*v + 461700681 wrt v? 499037325 What is the derivative of 10212855*x**3 + 17474846 wrt x? 30638565*x**2 Find the second derivative of -p*q**2*w + 18406017*p*q**2*y**2 - 3*p*q*w*y**2 + 5*p*q*y**2 + 2*p*q + 1036*p*y**2 - 6*q*y**2 - 2*w*y wrt q. -2*p*w + 36812034*p*y**2 What is the second derivative of 106817*t**5 + 4*t**4 + t**3 + 6153*t - 2436? 2136340*t**3 + 48*t**2 + 6*t What is the derivative of 32665627*a**2 + 14707926 wrt a? 65331254*a Find the second derivative of -11270*i**5 - 21*i**4 + 102*i**2 + 391770171*i. -225400*i**3 - 252*i**2 + 204 Find the third derivative of -7*t**4*v**3 + 429*t**4 - 34*t**3 - t**2*v**3 + 15*t**2*v**2 - 7*t**2*v + 1640*t*v**3 wrt t. -168*t*v**3 + 10296*t - 204 What is the derivative of 16*s*v**2 - 15248734*s - 9625*v**2 + v wrt v? 32*s*v - 19250*v + 1 What is the first derivative of 47121*n*s**3 - 5*n*s + 540*s**3 - 38*s**2 - 21*s wrt n? 47121*s**3 - 5*s What is the third derivative of -2*h*o**6 - 12372170*h*o**3 - 22*h*o**2 + 4*h*o - 8*h - o**2 + 23*o + 2 wrt o? -240*h*o**3 - 74233020*h Find the second derivative of 27755*g**3 - 117*g**2 + 11152815*g wrt g. 166530*g - 234 What is the third derivative of 24506*l**6 - 34*l**3 + 72*l**2 + 374*l + 20 wrt l? 2940720*l**3 - 204 What is the third derivative of 9689*q**6*t - 9259*q**4*t**2 + 114*q**2*t**2 - 3*q**2 - q*t**2 + 32*t**2 + t + 118 wrt q? 1162680*q**3*t - 222216*q*t**2 Find the second derivative of 125*k*m**2 + 19777*k*m*x + 130*k*m + k*x - 237140*m**2*x + 3*x wrt m. 250*k - 474280*x What is the third derivative of -238659279*s**3 + 7555500*s**2 wrt s? -1431955674 Differentiate 22508*b**3*j + 1969*b*j + 5640258*j + 37 wrt b. 67524*b**2*j + 1969*j Find the second derivative of 210*c**4 + 22581*c**3 + 5*c**2 - 24049*c + 1268 wrt c. 2520*c**2 + 135486*c + 10 Find the first derivative of 8196516*b**3*z + 3*b**3 + 2833*b**2 - 3*b wrt z. 8196516*b**3 Differentiate -29394345*k + 898048948 with respect to k. -29394345 What is the second derivative of -391*r**2*s + 45650*r**2 + 20*r*s + 3*s + 1965 wrt r? -782*s + 91300 Differentiate 18*a**2*t**2 + 139133*a*t - 1618790*t**2 wrt a. 36*a*t**2 + 139133*t What is the third derivative of -294143423*h**5 + 379479792*h**2 wrt h? -17648605380*h**2 What is the first derivative of 5*m*z**3 - 31760654*m*z - 158*z**3 + 48375*z**2 - 6 wrt m? 5*z**3 - 31760654*z Differentiate -2328964*f*h*l**3 + f*h*l**2 + 6978*f*h - 138*h + 1 with respect to l. -6986892*f*h*l**2 + 2*f*h*l Find the third derivative of -15004324*o**3*w - 119*o**2*w - o**2 - o*w - 554*o + 1 wrt o. -90025944*w What is the second derivative of -35710881*h**2*k**2 - 25*h - 12205*k**2 wrt h? -71421762*k**2 What is the third derivative of 130419810*n**3*p**2 + 74914390*n**2*p + p**2 wrt n? 782518860*p**2 Find the third derivative of 40310973*a**3*g**3 + 230729*a**2*g**3 + 17*a**2 wrt a. 241865838*g**3 What is the first derivative of 794809905*o + 625206443? 794809905 Find the third derivative of 121*f*k**3*s + 45498*f*k**3 + f*k + 1197*f - 2*k**2*s + 4*k*s - 2*s - 3 wrt k. 726*f*s + 272988*f What is the third derivative of -37*m**5 + 83*m**4 + 2324*m**3 + 83318391*m**2? -2220*m**2 + 1992*m + 13944 Find the first derivative of -7*k**3 + 7*k**2 - 8956*k + 94056958. -21*k**2 + 14*k - 8956 What is the second derivative of 953638*k**2*x**4 + k**2*x**2 + 4759*k**2 - 2*x + 75 wrt x?
{ "pile_set_name": "DM Mathematics" }
(d) s d Let r = 9579.6 + -9580. Which is the second biggest value? (a) 0.4 (b) -6 (c) -4 (d) r (e) -8 d Let h = 0.0079 - -0.1921. What is the fifth smallest value in -1/6, 2/17, -1/3, h, -2? h Let o be 3 + ((-6)/10 - 896/40). Let r be 12/14*(o/(-12) - 2). Which is the fourth smallest value? (a) 0 (b) -0.1 (c) -5 (d) r a Let p = -8100 - -56698/7. What is the smallest value in -1/3, p, -4, -0.1? -4 Let r = -607 - -593. What is the second smallest value in -3/5, r, 0.3? -3/5 Let m = 1074 - 1074.5. Let z = 0.036 + 2.964. Which is the third smallest value? (a) z (b) 4 (c) m (d) 0.3 a Let u = -206 + 194.18. Let n = 0.27 - 12.27. Let l = u - n. Which is the third smallest value? (a) l (b) -0.4 (c) 0 a Let z be (280/(-24) - -6)/(2/(-51)). Let f = -1447/10 + z. Which is the second biggest value? (a) 5/3 (b) 2 (c) -16 (d) f a Let i = 0.3 - 0.2. Let g = -132.0535 - -132. Let v = g - -0.0535. Which is the second smallest value? (a) v (b) 1/2 (c) i c Let b(y) = 194*y + 2326. Let o be b(-12). Let u = 0.4 + -5.4. Let d = -4.6 - u. What is the second smallest value in o, 0.04, d? 0.04 Let x = -117 - -1055/9. Let c be 80/6 + -95 + 81. Let b = 18 + -7. What is the second biggest value in b, c, x? x Suppose -6*m + 293*m = -861. What is the fifth smallest value in m, 2, -17, -2, -3/4? 2 Let j = -2.267 - 0.033. Let s = 4.724 - 3.724. What is the third smallest value in s, j, -1? s Let l = 8.5 + -8. Let h be -8*((-15)/6 - 0). Let a = 157/8 - h. What is the third smallest value in a, -1, l? l Let v = -9753.049 - -9753. What is the third smallest value in v, -1, -5, 1/6? v Let z = -0.367 + 0.067. Let d = -0.0879 + -0.0021. What is the smallest value in z, -0.1, 0.5, d? z Let k be ((-9)/6)/(2/4). Let n = -0.03835 - -0.53835. What is the biggest value in -26, k, n, 5? 5 Let u = -2/2137 - -12832/10685. What is the third biggest value in 0.3, 5, u, 0.2? 0.3 Let k = 0 - -2.2. Let n = k + -2. Let r = -114 + 119. Which is the smallest value? (a) n (b) -2 (c) r b Let d = 36.475 + -0.475. Suppose 0 = -w + 5*m - 23, 2*w - w - 3*m = -13. What is the second biggest value in w, -3, d? w Let r be 56/(-42)*(-15)/(-170). Which is the second biggest value? (a) 67 (b) r (c) -3/8 (d) 2/5 d Let v = -130.2 - -140. Let g = v - 13.8. What is the biggest value in g, 5/4, 1/9, 0.5? 5/4 Let t = -1/86 - 83/258. Let y = -0.2 + 0.17. Let h = y - 4.97. What is the second biggest value in h, t, -5/4, 5? t Let y = -0.05014 - -0.15014. Suppose 0 = 5*m + 51 + 194. Which is the second biggest value? (a) m (b) 6/7 (c) y (d) -3 c Let u = -237 + 243. Suppose -243 = 2*s - 245. Let d = 0.39 + -0.09. What is the second biggest value in 0, d, s, u? s Let l = -1.6 - 2.1. Let f = -5 - l. Which is the second biggest value? (a) f (b) 0.2 (c) 2/13 c Let w = -0.8 + 0.8. Suppose -168*g = 1269 - 1773. What is the biggest value in 1/6, g, w, -6? g Let y = -0.98 + 1. Let p = y - 4.02. Let s = -16.972 - -16.572. Which is the second biggest value? (a) p (b) 2/21 (c) s c Let q = 0.714 - 0.76. Let h = 0.354 - q. Suppose 3*s = 4*s + 5. What is the second smallest value in s, h, 0.9, -0.4? -0.4 Let m = 362 - 362.049. Let g = -13.049 - m. Which is the second smallest value? (a) 2/5 (b) -2/11 (c) g (d) 0.3 b Let u = 2.41623 + -241.45023. Let i = -238 - u. Let z = -0.034 + i. Which is the second biggest value? (a) z (b) 0.4 (c) 0.5 c Let k = -17886 + 17895. Which is the second biggest value? (a) k (b) -2 (c) -4/9 (d) 0.02 (e) -0.1 d Let s = -486 + 471. What is the fifth biggest value in 2/9, -2, 0.5, 2, s? s Let o = 21.6 - 19. Let i = -0.6 - o. Let c = -3.7 - i. What is the second biggest value in 1/4, c, 4? 1/4 Let y = -6 - -5.9. Let r = -1/4592 - 29847/4592. Which is the second smallest value? (a) -2/11 (b) r (c) -2/7 (d) y c Let r = 743 + -755. Which is the third smallest value? (a) -0.5 (b) 5 (c) r (d) -2 a Let a = -0.8 - -0.4. Let u = -6.5889 - -6.5889. What is the second smallest value in 4, a, 41, u? u Let x = 6268.7 + -6269. Which is the fifth biggest value? (a) 2/17 (b) x (c) -8 (d) 1/2 (e) 3 c Let w = -0.04 + 1.04. Let j = -2674.7 + 2675. What is the second smallest value in j, 2/9, w? j Let g = 182.955 + 1.445. Let q = g + -184. What is the third biggest value in -0.4, 7, q, -1/7? -1/7 Let m be 3*5/6*2. Let w = -673 - -905. Let y = w - 228. What is the second biggest value in m, y, -0.09? y Let i = -4267 - -4230. What is the smallest value in i, 5, 0.05? i Let p be ((-30)/20)/(10/(-1964)). Let d = p + -295. Which is the second smallest value? (a) 1 (b) d (c) 1/3 c Suppose -6*g = -5*g - x + 1, -3*x = -g - 11. Which is the second smallest value? (a) 3/4 (b) 2 (c) g (d) 0.2 (e) -3/14 d Let w = 5/18 + 1/126. Let q = 1.8 - 92.8. Let f = q + 91.2. What is the fourth biggest value in -4, f, w, 1? -4 Let n = 3 + -4. Suppose 0*t + 5*t - 25 = 0. Let x = -0.31055 - -0.01055. Which is the second biggest value? (a) t (b) n (c) 0.3 (d) x c Let v = -34 + 64. Let u be (-42)/36 + ((-3)/(12 + -6) - -1). What is the second biggest value in -2, v, u? u Let z = 76961481/436219 + 2/62317. Let d = z + -176. What is the biggest value in 14, 0, d? 14 Let w(s) = -s - 18. Let p be w(-22). Suppose -p*i - 2*i = -15*i. Let d be (-2)/(-12)*(-120)/16. What is the third biggest value in -5, d, i, 4? d Let r = -905 + 900. What is the biggest value in 4, r, -395? 4 Let t = -3.97 + -0.03. Let o(s) = 2*s**3 + 200*s**2 - 619*s - 99. Let j be o(-103). Which is the third biggest value? (a) -0.05 (b) t (c) j (d) -1/4 d Let l be 2/(-3)*((-89)/(-36) + 14/(-63)). Which is the third smallest value? (a) 62 (b) l (c) -0.76 a Let s = -3.36 - 0.14. Let o = 4 + s. Let w = 19932 - 19912. What is the second smallest value in w, -0.1, 2/15, o? 2/15 Let f be 6 + (3 - 4) + ((-1280)/92 - -9). Which is the biggest value? (a) f (b) -4 (c) 105 c Let s = -29287 + 29293. Let k be 1*(2 - 48/22). What is the second biggest value in 0, k, s? 0 Let x = -12714/15905 + -2/3181. What is the smallest value in 1839, -3, x? -3 Let j be 38/3 + 55 + -68. Which is the biggest value? (a) -3 (b) 7 (c) 0.06 (d) j b Let r be (-20)/6 - (-16)/(-8 + 12). Let y = 632/11 - 630/11. What is the third smallest value in 2/7, r, y, 1? r Let k = 223 + -222.6. Let o = -178.7 - -179. Let i = 3.98 - -0.02. What is the fourth biggest value in -10, k, i, o? -10 Let r = 6340 - 6345. Which is the fourth biggest value? (a) 1 (b) 15 (c) 0 (d) -0.4 (e) r d Let a = 13340.1 - 13340. Let q = -0.8 + -1.2. Let k = 1 - -1. What is the third biggest value in a, q, k? q Let v = 3556 + -3552. Which is the biggest value? (a) 0 (b) -91 (c) v c Let o be 10/(-80) + (-49)/(-8). Let i be 129/43*4/(-3). Let q be (4/(-6))/((-8)/(-18)). What is the smallest value in i, o, q? i Let j = 837 - 834. Which is the fifth biggest value? (a) 8 (b) 2/3 (c) -9 (d) j (e) -4/3 c Let z = 5.5 + -5. Let v = 2.43 - 4.43. Let h = 0.1 - 5.1. What is the biggest value in h, v, z? z Suppose -b - 4*y + 14 = 5, 4*b + 3*y + 16 = 0. Let q be 12/42 + 4/b. Let t = -715.6 + 716. What is the third smallest value in t, 0, q? t Let q = -132 - -523/4. Let g = -244.08 - 2.92. Let s = g - -249. Which is the third biggest value? (a) q (b) -1 (c) s a Let x = -16 - -15. Suppose -8*h = -5*h - 5*n, -5*n = 4*h. Which is the fourth smallest value? (a) -3 (b) x (c) h (d) -1/115 c Let r = -0.8 + 0.74. Let x = r + 0.36. Let w = -8/523 - 499/1569. Which is the second biggest value? (a) w (b) x (c) 1/5 c Let v be (-6)/20*115/(-138). Suppose 7 = -2*t + 3*t. Suppose -5*z + 4 - 14 = 0. Which is the second biggest value? (a) t (b) v (c) z b Let h = -4.8576 + 5.0476. Let g = -0.2 + 0.4. What is the third biggest value in g, h, 2/11? 2/11 Let b = -227 + 226.977. Let t = 3.177 + -3. Let h = t - b. What is the fourth smallest value in 2/11, -0.1, 2/7, h? 2/7 Let b = -1.324 + 1.424. What is the fourth biggest value in -0.5, -6, 15, -2, b? -2 Let y = -993/5 + 198. Let r = 16420 + -16487. What is the second biggest value in r, -5, y? -5 Let q(i) = i**3 - 13*i**2 + 47*i - 591. Let x be q(13). What is the fourth biggest value in 0.5, -2/5, x, 9? -2/5 Let u = 122.86 - -153.24. Which is the third smallest value? (a) u (b) 4 (c) 5 a Let p be (-8)/(-6) - (-3 - (-340)/(-
{ "pile_set_name": "DM Mathematics" }
-5*q - 166 Collect the terms in 324*n + 258*n + 128*n - 244*n. 466*n Collect the terms in 0*w + 1464 + 1460 + 2*w - 5846 + 1461 + 1461. 2*w Collect the terms in 1 + 1 + 0*d**3 + 1132*d - 5*d**3 - 3749*d. -5*d**3 - 2617*d + 2 Collect the terms in 32454 + 32463 - 2*b - 64918 - 394*b**2. -394*b**2 - 2*b - 1 Collect the terms in -10 - 47317*s**2 - 7323*s**2 + 10. -54640*s**2 Collect the terms in 231 + 6707*w - 75 - 76 - 80. 6707*w Collect the terms in -20441*f + 10205*f + 45 + 10234*f. -2*f + 45 Collect the terms in -k - 4529*k**3 - 244*k**2 + 245*k**2 - 21090*k**3. -25619*k**3 + k**2 - k Collect the terms in -57770*f**2 - 17810*f**2 - 64990*f**2. -140570*f**2 Collect the terms in 63524 + 822*z - 63524 - z**2. -z**2 + 822*z Collect the terms in 2652*b**2 - 6215*b**2 + 1769*b**2 + 1775*b**2. -19*b**2 Collect the terms in 19*f - 37*f + 4972 - 2461 - 2511. -18*f Collect the terms in -1398*a**2 + 352090 - 352090 - 508*a**2. -1906*a**2 Collect the terms in 75*q**3 - 95*q**3 + 261*q**3. 241*q**3 Collect the terms in -125346*x**2 - 17751*x**2 + 25395*x**2. -117702*x**2 Collect the terms in 33000587 + 3*q - 5*q - 33000587. -2*q Collect the terms in -1385*s - 5317*s - 62 + 62. -6702*s Collect the terms in -9 + 25*d + 8*d + 18*d - 48*d. 3*d - 9 Collect the terms in t**3 - 95116328251 + 95116328251. t**3 Collect the terms in 20345477*k - 40690980*k + 20345492*k. -11*k Collect the terms in 15 - 34865*a - 34944*a + 59 + 69808*a. -a + 74 Collect the terms in -3*y**2 + 5503*y - 2158*y - 730*y + 5152*y + 2. -3*y**2 + 7767*y + 2 Collect the terms in 375*w**2 - 417*w**2 + 1026*w**2 - 482*w**2. 502*w**2 Collect the terms in 134 + 131 - 33*o - 2*o + 56*o - 8*o - 265 - 9*o. 4*o Collect the terms in -4026 - 22*g + 2588 - 962*g + 1438. -984*g Collect the terms in -16088566 + 2552*g + 16088566. 2552*g Collect the terms in -176*k**2 - 400*k**2 - 237*k**2 + k**3 + 49*k**2. k**3 - 764*k**2 Collect the terms in 4326*f - 6787*f - 9524*f - 2*f**2 + 0*f**2. -2*f**2 - 11985*f Collect the terms in -438*p**2 + 151*p**2 + 153*p**2 - p + 153*p**2 + p. 19*p**2 Collect the terms in 1283528 - 591*i**3 - 2567053 + 3021*i**3 + 1283525. 2430*i**3 Collect the terms in -23*y**2 + 5*y + 117*y**2 + 47*y + 41*y - 93*y - 97*y**2. -3*y**2 Collect the terms in 3133658*c**3 - 1566832*c**3 - 4*c**2 - 3*c**2 - 1566824*c**3 - c**2 + 8*c**2. 2*c**3 Collect the terms in -148471*i + 62003*i - 5742*i - 136112*i. -228322*i Collect the terms in 28853*c + 29386*c - 58257*c. -18*c Collect the terms in 232943*p**3 - 233309*p**3 + p**2 - p**2. -366*p**3 Collect the terms in 18*a + 3 + 0*a - 46*a + 0 - 6*a - 5. -34*a - 2 Collect the terms in 285*l + 277*l + 273*l + 262*l - 1083*l. 14*l Collect the terms in 404*o**2 + 1001727 - 1001727. 404*o**2 Collect the terms in 421792*x + 56144*x - 85698*x. 392238*x Collect the terms in 167131 - 167131 + 19*b**3 - 24*b**3. -5*b**3 Collect the terms in 220*v**3 + 7 - 391*v**3 + 93 - v - 310*v**3. -481*v**3 - v + 100 Collect the terms in 2 + 522*z + 425*z + 49*z. 996*z + 2 Collect the terms in 340*t**2 + 348*t**2 - 31*t - 1071*t**2 + 31*t + 362*t**2. -21*t**2 Collect the terms in 537*f + 1351*f + 392*f. 2280*f Collect the terms in -10473592*g**3 + 5236827*g**3 + 5236735*g**3. -30*g**3 Collect the terms in 290329*x + 6 - 5 - 1. 290329*x Collect the terms in -9079335 + 9079335 + w**3. w**3 Collect the terms in -42*u**2 + 4207515542 - 4207515542 + u. -42*u**2 + u Collect the terms in -898*t**3 + 201*t**3 - 6325*t**3 - 3187*t**3. -10209*t**3 Collect the terms in -407 + 407 + 1986734*n. 1986734*n Collect the terms in -2*s**2 + 4*s**2 - 3296649 - 2*s + 1648255 + 12*s**2 + 1648394. 14*s**2 - 2*s Collect the terms in 2145*f**3 + 2220*f**3 - 5733*f**3 + 1358*f**3. -10*f**3 Collect the terms in 388*y**3 - 5 - 1051*y + 1051*y - 438*y**3. -50*y**3 - 5 Collect the terms in -8*q**2 + 5 + 19185904*q - 19185904*q. -8*q**2 + 5 Collect the terms in -51*r**2 - 2*r**2 + 21343*r**3 - 21763*r**3. -420*r**3 - 53*r**2 Collect the terms in -5756458350 + 5756458350 - 2*j**2 - 657*j**3. -657*j**3 - 2*j**2 Collect the terms in 164 + 186 - 11726*o - 348. -11726*o + 2 Collect the terms in -3558*l**2 + 2053*l**2 + 1546*l**2. 41*l**2 Collect the terms in 4 - 22*b - 4 + 6*b + 11*b + 18*b. 13*b Collect the terms in -6*s**3 + 562*s**3 + 8*s - 399*s**3. 157*s**3 + 8*s Collect the terms in -3836*n**2 + 1239*n**2 - 8659*n**2 + 1578*n**2. -9678*n**2 Collect the terms in 11481*h - 23386*h + 11914*h. 9*h Collect the terms in 2 - 2 - 5167*g + 1757*g + 3120*g. -290*g Collect the terms in 26720*g - 61654*g - 90894*g - 79673*g. -205501*g Collect the terms in -2*p - 1000*p**2 + 2*p + 5159*p**2 + 22880*p**2. 27039*p**2 Collect the terms in -440882*p - 562341*p + 94986*p. -908237*p Collect the terms in -937 - 945 - 14*y - 947 + 129*y - 57*y + 2829 - 56*y. 2*y Collect the terms in 2439*y + 305*y**3 - 341*y**3 - 2438*y. -36*y**3 + y Collect the terms in -32 - 770076189*l**3 + 770076211*l**3 + 32. 22*l**3 Collect the terms in -79*n**2 - 91*n**2 - 98*n**2 - 9544*n + 361*n**2 - 95*n**2 + 9544*n. -2*n**2 Collect the terms in -91*d**2 - 95*d**2 - 105*d**2 + 303*d**2 - 94*d**2 + 80*d**2. -2*d**2 Collect the terms in 1470*m - m**2 - 199*m - 5 - 3*m**2. -4*m**2 + 1271*m - 5 Collect the terms in 95*t**3 - 391*t**3 + 3*t**2 - 197*t**3 + 148*t**3 - 3*t**2. -345*t**3 Collect the terms in -2019*i**2 - 535*i**2 + 2874*i**2. 320*i**2 Collect the terms in -127*i + 30*i + 25*i + 72*i - 39328*i**3. -39328*i**3 Collect the terms in 18860*w + 18858*w + 18838*w - 94381*w + 18972*w + 18852*w. -w Collect the terms in -50 - 86 + 411*v**3 - 114 - 431*v**3 - 90. -20*v**3 - 340 Collect the terms in -2*f**3 + 3*f**2 + f**2 - 3*f**3 - 60*f**3 - 4*f**2 + 21*f**3. -44*f**3 Collect the terms in 79171*d**2 - 197417*d**2 + 12151*d**2 - 244113*d**2. -350208*d**2 Collect the terms in -30*q**3 - 6286227187*q + 6286227187*q. -30*q**3 Collect the terms in 6 - 123018*m - 153532*m - 14. -276550*m - 8 Collect the terms in -95*a**2 - 89*a**2 + 9*a**3 - 87*a**2 + 323*a**2 - 90*a**2 + 38*a**2. 9*a**3 Collect the terms in 15882 - 31769 - 1473*x + 15888. -1473*x + 1 Collect the terms in -17097060*z + 17097060*z - 16*z**2. -16*z**2 Collect the terms in 1961894193*l**2 - 980947068*l**2 - 980947067*l**2. 58*l**2 Collect the terms in -2 + 3768*m - 3678*m + 8. 90*m + 6 Collect the terms in -98372 - 3288*n**2 + 98372. -3288*n**2 Collect the terms in -28207*l + 28282*l + 69 - 72. 75*l - 3 Collect the terms in -528*n - 298*n - 1708*n - 1836*n - 1201*n. -5571*n Collect the terms in 813*u + 22*u + 8*u - 827*u. 16*u Collect the terms in -92957503160 + 1590*t + 92957503160. 1590*t Collect the terms in -362 + 126*i**2 + 181 - 365*i**2 + 130*i**2 + 181 + 125*i**2. 16*i**2 Collect the terms in 135291*w**2 - 25807*w**2 + 203596*w**2 + 160983*w**2. 474063*w**2 Collect the terms in 4160 - 4*b**2 + 39*b**2 + 4*b + 0*b**2 - 2*b. 35*b**2 + 2*b + 4160 Collect the terms in 35 - 88 - 1824*w + 1806*w - 40. -18*w - 93 Collect the terms in 51 - 419*l**3 + 749*l**3 + 1751*l**3 - 51. 2081*l**3 Collect the terms in 1552*g**2 + 698*g**2 + 1396*g**2 + 663*g**2. 4309*g**2 Collect the terms in 8892*f - 12 - 4428*f - 4463*f. f - 12 Collect the terms in -15641*b - 5025 + 10095 - 5070. -15641*b Collect the terms in -1432 - 1440 - 1440 + 5744 - 66*y - 1432. -66*y Collect the terms in 22076*z + 3*z**2 - 30451*z - 13701*z + 22076*z. 3*z**2 Collect the terms in 129*z**3 + 325570 - 976724 + 325576 + 325578. 129*z**3 Collect the terms in -380*h**2 + 62*h**2 + 61*h**2 + 71*h**2 + 54*h**2 + 65*h**2 + 69*h**2. 2*h**2 Collect the terms in 491*l**3 - 148*l**3 - 115*l**3. 228*l**3 Collect the terms in 337*y**3 - 108*y**3 - 116*y**3 - y**2 + y**2 - 87*y**3. 26*y**3 Collect the terms in 8233 - 24720 + 12*q + 8243 + 8245. 12*q + 1 Collect the terms in 15508831 - 4*k - 15*k - 15508830. -19*k + 1 Collect the terms in -59*h + 17*h + 16*h + 25*h + 19*h - 19*h. -h Collect the terms in -8724 + 8724 - 1178*q. -1178*q Collect the terms in 1597*j**2 + 2308 + 1598*j**2 - 2308 + 3*j**3 - 3195*j**2. 3*j**3 Collect the terms in 4*z**2 - 2*z**3 + z**3 + 55050811433 - 55050811433. -z**3 + 4*z**2 Collect the terms in -8*o + o**3 + 21*o - 2*o**3 + 57*o + o. -o**3 + 71*o Collect the terms in -7617*u - 282 + 285 + 2178*u - 2905*u. -834
{ "pile_set_name": "DM Mathematics" }
((-1)/(-5))/(210/(-24) + 9). 4/5 3/(-24) + (-78)/16 -5 (-1 - 2)/(36/(-16) - 0) 4/3 Evaluate 0 - 150/51 - (2 + -5). 1/17 (6/(-14))/(3/21) -3 24/28 + (-145)/203 1/7 What is the value of 1/(2*(3 + (-95)/30))? -3 What is the value of ((-4)/(-12)*(7 + -10))/1? -1 What is the value of (13/26)/((-2)/(-12))? 3 What is 20/(0 - 5) - 1? -5 What is (8/20 + 576/(-1665))/1? 2/37 Evaluate (-5)/2 + 19/38 - 4. -6 What is the value of ((-10)/6)/((-160)/15 - -9)? 1 18/48 + (-9)/24 0 What is the value of (15/6 - 2)*(-16)/(-56)? 1/7 ((-39)/195)/(19/5) -1/19 What is 8/(-11)*(-94)/(-376)? -2/11 What is the value of 2 - ((3 - 3)/(-3))/4? 2 Evaluate (-9)/(-27) + 1*4/(-3). -1 Calculate (-10)/((-130)/169) + -21. -8 What is the value of 24/15 + 8/20? 2 What is (4/(-56))/((-15)/90)? 3/7 What is the value of (-333)/296*(-4)/18? 1/4 Evaluate 8400/880 + 6/(-11). 9 What is the value of (-6)/45 + (10 - (-3908)/(-390))? -2/13 Evaluate 12/(-42) + -4*(-12)/112. 1/7 Evaluate 1*(2 - 12)/2. -5 Calculate (-1 + 7)*5/20. 3/2 Evaluate (2/(-24))/((-6)/(-16)). -2/9 Calculate 3*(75/72 + (-2 - -1)). 1/8 Calculate (-9)/((-315)/(-200)) + 6. 2/7 What is the value of (-9)/(-81) + 44/9? 5 What is (68/8 - 6)*18/540? 1/12 What is 2/(6/(-60)*(-3 - 1))? 5 Calculate ((-19)/228)/((-6)/16 - 0). 2/9 Evaluate ((-8)/(-6))/(-1) + (-136)/51. -4 Calculate (-2)/(-6) + 26/(-6) - 1. -5 What is (-3)/90*-8*(-51)/170? -2/25 What is (-6 - 0) + ((-77)/(-11))/1? 1 Evaluate -9*(-7 - 122/(-18)). 2 What is the value of 6/(-54)*18/(-14)? 1/7 What is -4 + 0 + (-12)/(-2)? 2 (33/(-6) + 4)*(-4)/18 1/3 What is the value of 23/(-5) - 22/((-1320)/36)? -4 1 - 1 - (6 + -1) -5 What is the value of 54/(-99)*44/(-8)? 3 What is the value of 4/3*1*2/8? 1/3 Calculate (-10 - (-10 - 0))/2. 0 What is 7/(-3) + 12*7/63? -1 What is (-1)/(-6)*4/1? 2/3 What is the value of 0 + 1 + (-36)/9? -3 What is the value of (-8)/(-28) + 3/(-42)*46? -3 What is 24/9 + 108/(-54)? 2/3 Evaluate 18/21 - 783/(-189). 5 Calculate 8/(-30)*(-18)/12. 2/5 Evaluate 3 + -1 + (-2 - 35/(-7)). 5 Calculate (3 - (-6 - (-182)/12)) + 7. 5/6 (-108)/(-26) + (-13)/((-169)/(-2)) 4 1/(-3)*(-2)/(-8)*0 0 What is 2*(0 + (-2)/4) + -1? -2 Evaluate ((3 - -4) + -7)*11/(-22). 0 Calculate (-12)/(-80)*((-200)/15)/(-10). 1/5 Calculate 0/(-1) + (-6)/36*0. 0 Calculate 2 - 1 - 2/1. -1 Evaluate ((-8)/(-30))/(9 - (-235)/(-25)). -2/3 What is (4 + -6)*22/(-12) + -4? -1/3 (1 - 11/5)/((-6)/(-20)) -4 Calculate (-2 - 15/(-12)) + 0. -3/4 What is (1 - 66/36)*3? -5/2 (1/(-4))/(((-135)/10)/9) 1/6 What is (-14)/(-18) + (-8)/(-36)? 1 What is -9*(3/(-36) - 0)? 3/4 Evaluate (-29)/6 - 3/18. -5 What is the value of (55/33)/(20/(-72))? -6 Evaluate 1/11 - 504/(-990). 3/5 Evaluate (-24)/6 + (-10)/(-390)*165. 3/13 What is the value of (-1)/(-2)*38/19? 1 What is the value of (2 - 8) + -5*(-8)/6? 2/3 3 + -11 + 6 - -6 4 -1 - (-11)/(132/9) -1/4 Evaluate (-6)/99*3 - 528/1089. -2/3 What is the value of ((-66)/(-12) - 5)/((-2)/10)? -5/2 Evaluate 0 + (-4)/(-2) - 14/2. -5 What is the value of 4/(-2)*(10 - 9)? -2 Calculate ((-51)/34)/(3/7) - -4. 1/2 What is ((-1330)/20)/(-7) + -9? 1/2 What is the value of (-10)/8*(-80)/200? 1/2 (-8)/((-48)/(-15))*(-7)/(-35) -1/2 Calculate ((-168)/(56/(-7)))/3. 7 (-3)/(-48)*4*-3 -3/4 Evaluate (8/(-3) - -2)*(-54)/(-12). -3 What is the value of (0/(-5) - (-1 - -3)) + 6? 4 What is the value of 3 - (48/(-4) - -8)? 7 What is (-4 + 168/40)/(1/(-2))? -2/5 What is the value of 7*7/294*(0 + 2)? 1/3 Calculate 2 - 1 - 1/((-2)/3). 5/2 Evaluate ((-42)/9)/(-7)*3. 2 -1*24/(-44)*(-165)/(-60) 3/2 Evaluate 4*10/24*3. 5 Calculate (-10)/(-176) - 1*1/(-8). 2/11 What is the value of 364/(-910)*(-5)/(-4)*2? -1 Calculate 70/(-12) - 1*40/(-48). -5 Evaluate (26 - 25)/((1/5)/(-1)). -5 Evaluate (-8 - (-140)/14)/(2/7). 7 Evaluate ((-4)/21)/(48/72). -2/7 (-20)/16 - (164/(-16) + 3) 6 What is the value of -1 + 0 + 1 - (0 - 0)? 0 What is (2*(-1)/(-28))/(18/189)? 3/4 (60/(-36))/((-4)/(-6)) + 2 -1/2 What is -4*(10/(-4))/(-5)? -2 What is (-18)/81*2/((-4)/(-6))? -2/3 Evaluate -16 + (5 - (5 - 3)) + 5. -8 What is the value of 2/(-8) + 198/(-72)? -3 What is the value of (0 - 8)/(23 - 17)? -4/3 Evaluate 9/((-18)/10) - -2. -3 (-28)/(-35)*(50/44)/5 2/11 Calculate (15 - (-146)/(-10))/(16/30). 3/4 Evaluate ((-546)/(-65) + -8)*(-10)/(-12). 1/3 What is the value of ((-63)/140)/(18/(-15))? 3/8 What is 15/15*(2 - 1)? 1 What is the value of (1/(-2))/(713/(-46) + 13)? 1/5 What is (65/39)/(28/18 + -1)? 3 What is the value of (-60)/(-10) + 32/(-6)? 2/3 What is the value of 7/(-1) + 2 - (-238)/49? -1/7 Calculate 24/(-30)*5/7. -4/7 Calculate -27 - -23 - (-1 - -1 - 3). -1 Calculate 255/(-60) + (-2 - 1 - -7). -1/4 What is the value of (30/(-25))/((-2)/15)? 9 What is the value of 6 + 5/((-4)/(-4)*-1)? 1 Evaluate 28/(-21)*5/(30/9). -2 What is ((-16)/(-120)*-5)/((-2)/(-21))? -7 Calculate 7 + -8 - (-12 + 14). -3 Calculate (7 + -5)/(-3 + (-33)/(-9)). 3 Calculate ((-4)/(-1) + -2)/(-4). -1/2 Evaluate 2 + 1 + (-8 - (-148)/28). 2/7 Evaluate (2*(-9)/(-15))/((-48)/(-80)). 2 Calculate (5 - (0 - 1))*26/(-39). -4 (-17)/68 + 5/4 1 What is the value of -2 - (-24)/14 - 10/(-35)? 0 Calculate (-15)/(270/12)*(2 - -1). -2 -11 + -2 - 34/(-3) -5/3 What is the value of ((-21)/(-49))/(4/56)? 6 What is ((-7)/(-6))/((12 + -22)/60)? -7 Calculate 78/(-22) - (1 + (-4 - 0)). -6/11 (-9)/(-6)*((-40)/(-84))/(-5) -1/7 Calculate (56/18 - 3)*(3 - 7). -4/9 Evaluate (120/10)/(-7 + 3). -3 Calculate ((-128)/84)/(-4) - 2/3. -2/7 What is (-3)/1 - (-6)/(36/33)? 5/2 Evaluate (-2 - (1 - 1))/((-8)/16). 4 What is the value of ((-3)/7)/(5/(180/27))? -4/7 Calculate (-50)/18 + 4 + (4 - 5). 2/9 What is -9 + 5 + 4 + 0? 0 Evaluate (-44)/(-374) - (-147)/51. 3 Evaluate (-3 - (-3164)/210) + -12. 1/15 What is the value of (22/(-242))/(1/(-2))? 2/11 What is the value of (-9)/(-6) - (-33)/(-14)? -6/7 What is ((-282)/235)/(6/(-40))? 8 (-12)/(-27) + -1 - -1 4/9 Evaluate 38/(-209) - 2*(-47)/33. 8/3 Evaluate (-1 - 4/(-3))*(-10 + 10). 0 Evaluate 45/9 - (-19)/(-4). 1/4 (-2 + 1)/(3/12) -4 (-30)/4*(-88)/660 1 Calculate (-2)/(-10)*((-17)/(-4) + -3). 1/4 Calculate (-357)/39 - (54/(-13) - -4). -9 What is the value of (((-27)/(-6))/3)/(21/56)? 4 What is 7 - (4/4 - -2) - 13? -9 What is (-10)/(-8)*-2*24/30? -2 What is -1 + 9 + 66/(-6)? -3 Evaluate 1*(1 + 2 + -3 - 2). -2 What is -4 + 230/56 - (-14)/98? 1/4 Evaluate ((-15)/20)/((-24)/(-32)). -1 What is the value of 104/(-234)*12/(-8)? 2/3 (-4)/1 + 5460/(-500) + 15 2/25 Calculate (-2832)/624 - (-18)/(-39). -5 Evaluate (0 + 4)/((-32)/(-64)). 8 Evaluate 2/17 + (-836)/1615. -2/5 Evaluate (36/(-72))/(5/4). -2/5 55/(-33) + 2/3 -1 What is (7/(-35))/((-27)/(-15))? -1/9 Calculate (-12 - -17)/(10/4). 2 Evaluate (-118)/1593 - 436/(-54). 8 What is -1 + 45/(-10) + 5/10? -5 What is 1155/4025 - 4/46? 1/5 -3*(-4)/6*9/3 6 Evaluate (-3)/1 + (-22)/(-6). 2/3 Calculate 6/8 - 1/(4/(-25)). 7 What is the value of 2/28*21*(-6)/(-39)? 3/13 (-8 - -11 - 24/8)*-1 0 What is (18 - 14) + 5/(-1)? -1 (-299)/(-253) - (-2)/(-2) 2/11 Evaluate (260/180 + 8/(-18))*-6. -6 What is (-6)/2*(-6 + 49/7)? -3 What is -1*(-7 + 13 + -5)? -1 Evaluate (-4)/6 + (-308)/(-363). 2/11 What is the value of 15 - (-1190)/(-75) - (-2)/10? -2/3 12/48*-5 + 1 -1/4 What is the value of (-2 + 1)*(-9 + 5)? 4 Calculate ((-4)/5)/(648/45 + -13). -4/7 (-46)/12 + 14*(-16)/(-56) 1/6 What is (2/4)/(15 + -16)? -1/2 What is the value of (3/((-27)/12))/((-2)/6)? 4 What is the value of 3575/1287 - (1 + 4/2)? -2/9 (-1 + 8)*-1 + 5 -2 Evaluate (-20)/18*405/675. -2/3 What is the value of (-2)/(1 + 0) - 0? -2 What is the value of 77/462 + (-37)/6? -6 What is 5*3/(-12) + 1? -1/4 What is the value of -3*7/(-42)*10? 5 What is the value of 5/(-5 + 15)*-2? -1 Evaluate 786/(-54) - -15 - 4/6. -2/9 What is 4/(-10)*(-65 + 85)? -8 What is the value of (-259)/(-40) + -7 - (-2)/5? -1/8 What is (91/21 - 5)*9? -6 What is the value of (-10)/(-4)*(-408)/850? -6/5 Evaluate 4/(((-27)/(-12))/(12/160)). 2/15 What is 3/(-6) - ((-2)/(-1))/(-4)? 0 (-19)/(-95) - 17/35 -2/7 Evaluate ((-3)/11)/(-6 + -5 + 8). 1/11 Calculate (-6)/51 - (-336)/1122. 2/11 Calculate 2 + (-16)/6*1. -2/3 Calculate (-4)/(-176) - (-27)/(-99). -1/4 Evaluate 3/(-12)*-24 - (-104)/(-18). 2/9 What is the value of (1716/(-40))/(-11) + -1*4? -1/10 Evaluate (-14 - -24) + (-54)/4. -7/2 Evaluate 7 + (-20)/32 -
{ "pile_set_name": "DM Mathematics" }
*a. Is 23 a factor of (-1)/(((-1)/(-111))/a)? False Let c = 78 + 135. Let y(a) = -a**2 - 9*a + 11. Let u be y(8). Let q = u + c. Is q a multiple of 23? False Suppose y + 471 = 2*i, -4*y = 2*i + 3*i - 1197. Is 7 a factor of i? False Let b(p) = p**3 - 4*p + 2. Suppose -2*v + 2 = 2*s + 4, s + 5 = -2*v. Let c be b(s). Suppose l - 25 = c. Is l a multiple of 21? True Suppose -5*j = 2 + 18. Let r be (j/(-2))/((-1)/(-4)). Is 19 a factor of 414/r + (-45)/60? False Let c(z) = z**3 - 3*z - 1. Let g be c(-2). Let p be g + -3 + 5 + 20. Suppose 25 = 2*a - p. Is a a multiple of 11? True Let u(r) = r**3 + 5*r**2 + r + 13. Let t be u(-5). Does 14 divide (t/(-3))/(6/(-63))? True Let z = 174 + -27. Is 13 a factor of z + (-5)/(15/(-9))? False Let i(o) = -2*o**3 + 25*o**2 - 14*o - 21. Is i(11) a multiple of 7? False Let p(s) = -5*s**3 + 5*s**2 + 6*s + 4. Is 26 a factor of p(-3)? False Let x = 36 + 77. Let z = x - 65. Does 8 divide z? True Let k be (-2)/8 + (-2)/(-8). Suppose 3*m + k*m = 9. Suppose 25 + m = c. Does 9 divide c? False Suppose 7*m + 40 = 3*m. Let j(w) = w**3 + 11*w**2 - 6*w - 13. Does 9 divide j(m)? False Let m(x) = 20*x**2 + 3*x + 1. Let l be m(-7). Suppose -13*t + l = -8*t. Does 32 divide t? True Suppose 4*b = 3*k + 4368, k + 268 - 272 = 0. Does 15 divide b? True Let a = -31 - -36. Suppose 2*t - 25 = n - 95, -n - a*t = -105. Is 20 a factor of n? True Let v(l) be the first derivative of 17*l**4/4 + 2*l**3/3 - l**2/2 + 2. Let h be v(1). Let z = -11 + h. Is z a multiple of 5? False Let f = -28 + 26. Let m(s) = 6*s**2 + 3*s - 7 - 5*s + 4 + 0. Is m(f) a multiple of 7? False Let o = 83 + 27. Is 7 a factor of o? False Let z be 420/(-10) + (1 - 4). Let o = 43 - z. Suppose 0 = w + w - o. Is 11 a factor of w? True Let q(i) = -i**3 + 9*i**2 - 7*i + 1. Suppose -2*x = -0*x - 14. Let r = 0 + x. Is q(r) a multiple of 25? True Suppose -5*d + 225 = -v, 2*d + 5*v = 166 - 49. Does 4 divide d? False Let q = 25 - 21. Let c(j) = j**3 - 3*j**2 - 3*j + 2. Is 3 a factor of c(q)? True Let v be (-2 + 0)/(-2 - -4). Let g(r) = -8*r + 15*r + 1 - 36*r. Is g(v) a multiple of 10? True Suppose -5*a = f - 324, 2*f - 2*a = -3*a + 684. Does 12 divide f? False Suppose 954 = 6*o - 5418. Does 59 divide o? True Let k(l) = l**3 + 5*l**2 + 3*l + 3. Let u be k(-2). Suppose -2*y = -3*y + u. Is y a multiple of 3? True Suppose 3*x = -18*x + 19635. Does 11 divide x? True Does 18 divide (-4)/(-38) + ((-365880)/(-95))/6? False Suppose -1 = 3*y + 4*i - 16, 4*y + 3*i = 13. Let a be 6*y/((-2)/9). Let b = a - -49. Is 22 a factor of b? True Let r = -445 + 784. Is r a multiple of 35? False Let k = 939 - 884. Is k a multiple of 15? False Let a(x) = -4*x - 22. Let g be a(-6). Is (-284)/(-355)*(2/g + 9) a multiple of 2? True Let h(u) = 141*u**2 + 5*u + 3. Let l be h(3). Let q be (-1)/2 - l/(-22). Suppose -5*b = 2*k - 190 - q, 4*b = 3*k + 203. Does 10 divide b? True Let y(t) be the second derivative of -t**5/20 - 3*t**4/4 - t**3/6 - 3*t**2/2 + 14*t. Is 3 a factor of y(-9)? True Let o(w) = -w**3 + 56*w**2 + 75*w - 27. Is o(57) a multiple of 9? True Suppose -4*m - 97 = 3*b, 4*b - 4*m = -7 - 85. Let o = 50 - b. Is o a multiple of 7? True Suppose 2*v - 152 + 58 = 0. Let t = 7 + v. Is t a multiple of 9? True Let u = -46 + 58. Suppose -n + 4*a + 624 = 4*n, 0 = -3*a + u. Is 24 a factor of n? False Let b be 5/25 - 302/10. Let k be (6/(-18))/(2/b). Suppose -460 = -k*a + 4*j, -3*j = -5*a + a + 369. Does 23 divide a? False Suppose 4989 = 8*m + 677. Does 60 divide m? False Does 6 divide ((-6)/8)/3 + (-690)/(-8)? False Let f = -20 + 24. Suppose 849 = f*y + 3*o, -y + 90 = -o - 131. Is y a multiple of 54? True Suppose 4*d = -5*j - 15, 9 = -2*d - d - 3*j. Let a be (-1)/((-2)/24 - d). Let p = a + -7. Does 4 divide p? False Suppose -106 = 3*l - 37. Let x = l + 26. Is (-16)/3*(-3 - x) a multiple of 16? True Does 14 divide (51/2)/((-108)/(-1008))? True Let t(o) = o**2 - 7*o + 10. Let p be t(6). Suppose 0 = -5*u + p*c + 6 + 14, 4*u + c = 16. Is 15 a factor of u*(3 + 10/4)? False Let d(j) = -j**3 + 2*j**2 + 2*j + 2. Let i be d(-1). Is (-12 - i)*(-64)/6 a multiple of 34? False Let s = 155 + -63. Suppose -3*m - 20 = -s. Does 24 divide m? True Let k be 5/4*(0 - -4). Let x(h) = h**2 - 7*h + 12. Let p be x(k). Suppose -p*b + 48 = b. Does 16 divide b? True Let v = 699 - 19. Does 85 divide v? True Let p be (-553)/(-77) - (-4)/(-22). Suppose -38 = -3*s + p. Is 15 a factor of s? True Let r(g) = 13*g - 4*g - 35*g**2 + 22 + 37*g**2. Is 13 a factor of r(-8)? True Let x = -54 + 103. Let p(a) = -19*a - 38. Let w be p(-2). Suppose -h + x = 4*n, 5*n + 3*h - 42 - 21 = w. Does 4 divide n? True Let l(d) = 9*d**2 - 15*d + 40. Does 10 divide l(8)? False Suppose -3*p + 260 = -487. Is p a multiple of 2? False Let v(j) = j**2 - 8*j + 5. Let o be v(4). Let l = 14 + o. Suppose l = b - 43. Does 23 divide b? True Suppose -9*g = -529 - 110. Is 57 a factor of g? False Suppose 4*h + 55 + 65 = -4*t, 4*h + 122 = -2*t. Let m = -16 - h. Let q = m - -2. Is 17 a factor of q? True Let v(o) = 2*o**2 - 3*o + 69. Does 21 divide v(0)? False Let f(j) be the first derivative of j**3/3 - 17*j**2/2 - 13*j + 8. Is 3 a factor of f(18)? False Let m = 499 - 749. Let i = m - -455. Does 39 divide i? False Let l = -72 + 64. Let z(i) = -10*i + 48. Is 12 a factor of z(l)? False Let x be ((-2)/(12/14))/(5/(-30)). Let y = x - -52. Does 11 divide y? True Let o(r) = -r - 6. Let y be o(-3). Suppose -10*x = -887 - 1133. Is 26 a factor of (x/6)/(y/(-9))? False Let r(p) be the third derivative of -p**5/60 - 13*p**4/12 - 7*p**3/3 + 9*p**2. Does 50 divide r(-15)? False Does 38 divide (5 - 4)/(-5*3/(-6270))? True Let b(w) = w + 30 + 1 - 2*w + 23. Does 10 divide b(14)? True Let p(d) be the third derivative of d**5/60 + d**4/6 + d**3/3 - 4*d**2. Let o be p(-4). Does 13 divide (o - -3)*(-39)/(-5)? True Let x(o) = -o**2 + 4*o + 12. Let v be x(5). Is 8 a factor of 78 - (v + -3 + -8)? False Let q(l) = l**2 - 4*l - 3. Let v be q(5). Suppose -5*w = v*g - 61, -g - 12 = -w - 4. Is 11 a factor of w? True Let r(l) = l**3 - 9*l**2 - l + 12. Let y be r(9). Suppose -8 = -c - y. Suppose -277 = -4*a - i, c*a - 2*i + 66 - 409 = 0. Does 27 divide a? False Let l = -86 - -352. Does 10 divide l? False Suppose -362 = -5*m + n, 4*m - 5*n - 350 = -m. Suppose 0*l + 17 = c + l, 0 = 5*c - l - m. Does 15 divide c? True Is 21876/42 - (-126)/(-147) a multiple of 20? True Suppose 4*x = -2*a + 4, 5*x + 1 = -7*a + 3*a. Suppose 4*k = 3*g + 257, -2*k + x*g - 133 = -4*k. Is 5 a factor of k? True Let o = -39 - -60. Let f = -8 + 15. Let z = o - f. Is z a multiple of 14? True Let t be 2362/3 + (-5)/15. Suppose 438 = 5*s - t. Suppose 4*c + c - s = 0. Is 12 a factor of c? False Let l(w) = -w - 2. Let j be l(11). Let b = 15 + j. Suppose -5*z = b*h - 15, -2*h = -6*h + 2*z + 66. Is 5 a factor of h? True Suppose -5*n + 6*n - 8 = 0. Is 20 a factor of (-5 - 0)*(n + -16)? True Let k = -30 - -53. Let s = k - -1. Is 8 a factor of s? True Suppose -3*x - 2425 + 7695 = 5*n, 4*n = -4*x + 7024. Does 59 divide x? False Let l = -8 - -12. Suppose -4*v = -l*a + 204, -2*a = 4*v - 93 - 27. Suppose 0*j = 3*j - a. Is j a multiple of 9? True Suppose -6*z - z = -14. Suppose -z*l - l = -294. Does 14 divide l? True Let k(z) = z**2 + 8*z - 123. Is 29 a factor of k(-22)? False Let g(l) = -l**3 - l**2 - 2*l - 2. Let n be g(-2). Let c(k) = 0*k**3 - 1 + 8*k**2 - 11*k + 3*k - k**3. Is 14 a factor of c(n)? False Is 25 a factor of (8825/10)/((-20)/(-16))? False Let w be (3/2)/(3/12). Is (-3*6)/(w/(-16)) a multiple of 36? False Let i(f) = 2*f**3 + 8*f**2 + 2*f + 8. Let x(m) = m**3 - m. Let t(y) = -i(y) + x(y). Is 10 a factor of t(-8)? False Suppose 0 = 98*v - 17*v - 34992. Is v a multiple of 8? True Suppose -57 = -2*n + 77. Suppose -p = 7*m - 2*m - 67, -p + n = 2*m. Does 31 divide p? False Let i = -539 - -635. Does 12 divide i? True Let m(f) = 3*f - 1. Let b be m(2). Let n = b - 3. Suppose 3*h + n = 95. Is h a multiple of 9? False Let s(h) = 3*h - 11. Let l(g) = g**2 - 2*g - 3. Let z be l(-2). Let x be s(z). Suppose -5*f + 254 = -x*j, -j - 7 = -f + 43. Does 18 divide f? True Suppose 0*p = -4*j - 4*p - 84, -2*p - 10 = 0. Let m = j + 18. Suppose 0*k - m*k = -18. Is 2 a factor of k? False Let o(r) = -3*r**2 - 40*r + 31. Is o(-14) a multiple of 3? True Let w(p) = -3*p*
{ "pile_set_name": "DM Mathematics" }
a centimeter in micrometers? 2400 How many milligrams are there in seven quarters of a gram? 1750 What is 15006.762 minutes in hours? 250.1127 How many grams are there in 92587.79t? 92587790000 Convert 915.8677 kilometers to meters. 915867.7 How many seconds are there in 15128.85 weeks? 9149928480 What is 0.4716273 micrometers in centimeters? 0.00004716273 How many micrometers are there in seven eighths of a centimeter? 8750 What is 422.2256g in milligrams? 422225.6 What is 11/2 of a century in decades? 55 What is 1/10 of a gram in micrograms? 100000 How many millilitres are there in 6/25 of a litre? 240 Convert 563.4667 litres to millilitres. 563466.7 What is fifty-one fifths of a meter in centimeters? 1020 How many nanometers are there in 7.946687 micrometers? 7946.687 How many meters are there in 2/125 of a kilometer? 16 Convert 54803.77 days to weeks. 7829.11 Convert 19009.92g to micrograms. 19009920000 How many seconds are there in 246.725 milliseconds? 0.246725 How many millilitres are there in fifteen quarters of a litre? 3750 What is 42573.35 decades in centuries? 4257.335 How many millilitres are there in 221035.2 litres? 221035200 How many nanograms are there in seven eighths of a microgram? 875 How many hours are there in 19/4 of a week? 798 Convert 54040.52 decades to years. 540405.2 How many years are there in 1/4 of a century? 25 Convert 2.657073km to meters. 2657.073 What is 6/5 of a millimeter in micrometers? 1200 What is 5/4 of a litre in millilitres? 1250 What is 3/40 of a milligram in nanograms? 75000 Convert 68.82418ng to grams. 0.00000006882418 What is 1903.15305 microseconds in days? 0.000000022027234375 What is 0.9819994 litres in millilitres? 981.9994 What is seven eighths of a millimeter in micrometers? 875 Convert 54054.53 kilometers to millimeters. 54054530000 How many months are there in four fifteenths of a century? 320 How many minutes are there in 0.3825537us? 0.000000006375895 How many nanoseconds are there in 1136.656 days? 98207078400000000 What is 587.7092 weeks in milliseconds? 355446524160 How many meters are there in 427283.1km? 427283100 What is 3/5 of a meter in millimeters? 600 How many months are there in 1/4 of a year? 3 What is 1260.075 hours in days? 52.503125 Convert 79.09307l to millilitres. 79093.07 What is 2/15 of a minute in seconds? 8 What is seven sixths of a week in minutes? 11760 How many micrograms are there in 0.5168125 milligrams? 516.8125 How many decades are there in 27/4 of a millennium? 675 What is 1.614823km in millimeters? 1614823 How many nanometers are there in 290547.6 kilometers? 290547600000000000 How many decades are there in 385483.5 years? 38548.35 How many millilitres are there in fifty-four fifths of a litre? 10800 How many decades are there in 68.7143 years? 6.87143 How many millennia are there in 94937.01 years? 94.93701 What is 1/4 of a litre in millilitres? 250 What is 3/10 of a litre in millilitres? 300 What is twenty-five quarters of a day in hours? 150 How many months are there in seven eighths of a millennium? 10500 What is 167.8784 millilitres in litres? 0.1678784 How many micrometers are there in 9/10 of a millimeter? 900 What is seventeen halves of a gram in milligrams? 8500 Convert 0.133858l to millilitres. 133.858 How many minutes are there in 22931.67 nanoseconds? 0.0000003821945 How many litres are there in 860.0178ml? 0.8600178 How many millilitres are there in 8/25 of a litre? 320 What is 1/5 of a day in seconds? 17280 What is 930056.1s in minutes? 15500.935 How many seconds are there in two fifteenths of a minute? 8 What is 25/4 of a litre in millilitres? 6250 What is 0.794681 microseconds in seconds? 0.000000794681 How many millilitres are there in 7/4 of a litre? 1750 How many millilitres are there in fifty-three quarters of a litre? 13250 What is 21/2 of a millisecond in microseconds? 10500 What is 1/4 of a kilometer in centimeters? 25000 What is 33/5 of a litre in millilitres? 6600 What is one quarter of a micrometer in nanometers? 250 How many millilitres are there in 3/40 of a litre? 75 What is 42.9051t in micrograms? 42905100000000 Convert 73194.06 kilometers to meters. 73194060 How many days are there in 298021.29 hours? 12417.55375 Convert 304.891g to tonnes. 0.000304891 What is 12.19461 millilitres in litres? 0.01219461 How many micrometers are there in three tenths of a millimeter? 300 How many months are there in 2/75 of a century? 32 How many grams are there in 51492.4 milligrams? 51.4924 What is 4/3 of a millennium in months? 16000 What is 49.70241 litres in millilitres? 49702.41 What is 89.84093 kilograms in tonnes? 0.08984093 What is eleven halves of a kilometer in meters? 5500 Convert 78425.95 litres to millilitres. 78425950 What is 58557.21 centuries in years? 5855721 How many micrograms are there in nineteen quarters of a milligram? 4750 What is 3/25 of a microgram in nanograms? 120 What is three tenths of a centimeter in micrometers? 3000 What is 8/3 of a day in hours? 64 What is 84.25412 days in seconds? 7279555.968 What is 3/5 of a century in months? 720 How many nanoseconds are there in 49/5 of a microsecond? 9800 What is fourty-two fifths of a litre in millilitres? 8400 How many kilograms are there in 15/4 of a tonne? 3750 What is 104217.7 years in millennia? 104.2177 How many nanograms are there in 21/2 of a microgram? 10500 What is 1/16 of a hour in seconds? 225 What is 0.5838712 nanometers in millimeters? 0.0000005838712 What is twenty-six fifths of a decade in months? 624 How many grams are there in 12/25 of a kilogram? 480 How many centuries are there in 0.1632887 decades? 0.01632887 How many centuries are there in 518.2896 years? 5.182896 What is 917.8605mm in micrometers? 917860.5 Convert 60.4131um to kilometers. 0.0000000604131 What is 2089.3374 milliseconds in hours? 0.0005803715 How many weeks are there in 1834605.612 seconds? 3.03340875 What is 3/10 of a century in decades? 3 What is 3/8 of a centimeter in micrometers? 3750 How many meters are there in 914.995nm? 0.000000914995 How many months are there in three tenths of a decade? 36 What is 93.41717 litres in millilitres? 93417.17 How many minutes are there in 220916.7 microseconds? 0.003681945 What is thirteen fifths of a micrometer in nanometers? 2600 What is thirteen quarters of a week in minutes? 32760 How many micrograms are there in 75/2 of a milligram? 37500 What is 3/40 of a kilogram in milligrams? 75000 How many millilitres are there in 9.952268 litres? 9952.268 What is 0.7936848 millennia in decades? 79.36848 How many nanoseconds are there in nine tenths of a microsecond? 900 What is 3.61209 years in centuries? 0.0361209 What is 27/4 of a millennium in months? 81000 How many kilograms are there in 909.9034t? 909903.4 What is twenty-one halves of a litre in millilitres? 10500 What is eight fifteenths of a hour in seconds? 1920 How many millilitres are there in one fifth of a litre? 200 How many decades are there in one fifth of a century? 2 Convert 6379.443 days to minutes. 9186397.92 Convert 8024.894 nanometers to micrometers. 8.024894 How many kilometers are there in 18430.59cm? 0.1843059 How many milligrams are there in 52/5 of a gram? 10400 What is 0.6139401 litres in millilitres? 613.9401 How many millilitres are there in one fifth of a litre? 200 How many kilograms are there in 41/2 of a tonne? 20500 What is 3/40 of a gram in micrograms? 75000 How many milligrams are there in 2.693188 nanograms? 0.000002693188 Convert 1061.534 millennia to years. 1061534 What is thirteen fifths of a litre in millilitres? 2600 Convert 165.03678us to minutes. 0.000002750613 What is 7/4 of a meter in centimeters? 175 What is 904082.1 weeks in days? 6328574.7 How many millimeters are there in 7/2 of a centimeter? 35 What is one fifth of a centimeter in micrometers? 2000 How many millilitres are there in eighteen fifths of a litre? 3600 What is 3/50 of a minute in milliseconds? 3600 What is 1.484461km in nanometers? 1484461000000 Convert 2.9731113 months to years. 0.247759275 How many nanograms are there in 2.020395mg? 2020395 What is 541959.6 milliseconds in minutes? 9.03266 How many months are there in 27/5 of a millennium? 64800 How many nanograms are there in three
{ "pile_set_name": "DM Mathematics" }
h + 166500. 1539*h Collect the terms in -601*p + 4549*p - 3966*p. -18*p Collect the terms in -9007 - 2*n**3 - 48*n + 9007. -2*n**3 - 48*n Collect the terms in -154089*a + 6*a**2 + 51348*a + 51382*a + 51359*a. 6*a**2 Collect the terms in 190750*j**3 + 190750*j**3 - 763011*j**3 + 190778*j**3 + 190757*j**3. 24*j**3 Collect the terms in -14851*m**2 + 23174*m**2 + 529*m - 529*m. 8323*m**2 Collect the terms in 304*p - 947*p - 226*p - 3 + 2 - 896*p. -1765*p - 1 Collect the terms in 211*t**2 + 192*t**2 - 403*t**2 + 368*t**3. 368*t**3 Collect the terms in 389 + 10083*a**3 + 395 - 784. 10083*a**3 Collect the terms in -18*y - 17*y + 27 + 20 + 6*y. -29*y + 47 Collect the terms in -3 + 72700*u**3 - 3 + 6. 72700*u**3 Collect the terms in 17*w + 2091*w**2 - 52*w + 19*w + 16*w - 2197*w**2. -106*w**2 Collect the terms in -27*w**2 + 155*w - 85195 + 170382 + w**3 - 85187 + 27*w**2. w**3 + 155*w Collect the terms in 35 + 9 + 1784*h - 27. 1784*h + 17 Collect the terms in -101*p + 743*p**2 - 94*p + 3057*p**2 + 195*p. 3800*p**2 Collect the terms in -4 + 6 + 21 + 2 + 877*i**2. 877*i**2 + 25 Collect the terms in -327*b + 1108*b + 470*b + 57*b. 1308*b Collect the terms in -n + 2*n - 9354*n**3 + 9159*n**3. -195*n**3 + n Collect the terms in -25434265*a**3 + 5776990*a**3 - 3*a - a. -19657275*a**3 - 4*a Collect the terms in 410 + 395 - 1186 + 107*r + 407. 107*r + 26 Collect the terms in s**2 + 6073 - 18197 + 6067 + 6057. s**2 Collect the terms in 4893 - 4893 + 46255*r. 46255*r Collect the terms in 4220674 + 61*y - 4220674 + 8*y. 69*y Collect the terms in 1080 + 1083 + 1063 - 4301 + 1076 - 14*t - 2*t**3. -2*t**3 - 14*t + 1 Collect the terms in -2347*i**2 + 468*i**2 + 473*i**2 + 471*i**2 + 469*i**2 + 468*i**2 + 35*i. 2*i**2 + 35*i Collect the terms in 25*r - 44 + 92 - 39 - 25*r + 3*r. 3*r + 9 Collect the terms in 2 + 171*i**2 - 211*i**2 - 1 + 41*i**2 + 9*i - 1. i**2 + 9*i Collect the terms in -3*s - 15 - 15*s**2 - 359*s**2 - 92*s**2. -466*s**2 - 3*s - 15 Collect the terms in -50584 + 16833 + 57*r**2 + 16877 + 16874. 57*r**2 Collect the terms in 841279*r + 841310*r - 1682596*r. -7*r Collect the terms in 612*p**3 - 139 + 139 + 261*p**3 + 75*p**3 - p. 948*p**3 - p Collect the terms in -800 - 1293*j**2 + 800 - 1299*j**2. -2592*j**2 Collect the terms in -1167*x - 1702*x + 6 - 199*x - 170*x. -3238*x + 6 Collect the terms in -16 + 1097*f - 397*f - 5. 700*f - 21 Collect the terms in 3*p + 243075*p**3 + 243081*p**3 - 486157*p**3. -p**3 + 3*p Collect the terms in -1918*x**3 + 26 - 930*x**3 - 26. -2848*x**3 Collect the terms in 1 + 468*z**2 + 2*z + 872*z**2 - 484*z**2 + 635*z**2 + 177*z**2. 1668*z**2 + 2*z + 1 Collect the terms in -251*t + 1902 + 1915 - 3817. -251*t Collect the terms in -1557784*p**3 + 778882*p**3 + 778883*p**3. -19*p**3 Collect the terms in 1 - 148*d**3 + 253*d**3 - 99*d**3 - 1 + 110*d**3 - 85*d**3. 31*d**3 Collect the terms in 321373*f + 279180*f + 86471*f - 83715*f. 603309*f Collect the terms in -1484*l**3 + 600*l**3 + 439*l**3 + 443*l**3. -2*l**3 Collect the terms in -18*x**2 - 2 + 2 + 16*x**2 - 41*x**3 - 953*x. -41*x**3 - 2*x**2 - 953*x Collect the terms in -49344 - 49345 - 3*k + 147991 - 49302. -3*k Collect the terms in -12352*c**3 - 7242*c**3 + 397*c**2 - 807*c**2 + 410*c**2. -19594*c**3 Collect the terms in -2293*a**2 + 5497*a**2 - 3203*a**2. a**2 Collect the terms in -25215003 + 2375*s - 2345*s + 25215003. 30*s Collect the terms in 2526*n + 0*n**2 - 7*n**2 + 2699*n - 5225*n - 3*n**2. -10*n**2 Collect the terms in 13100*i + 2 - 6613*i - 6567*i. -80*i + 2 Collect the terms in 3 + 519*m**2 - 3557*m**2 - 1309*m**2. -4347*m**2 + 3 Collect the terms in 98*g**3 + 9381*g**2 - 95*g**3 - 9435*g**2. 3*g**3 - 54*g**2 Collect the terms in -599534 - 4813*z + 599534 + 4818*z - 4*z**2 + 3*z**2. -z**2 + 5*z Collect the terms in -821 - 7*x**2 + 0*x**2 - 4*x**2 + 790. -11*x**2 - 31 Collect the terms in 515*g**2 - 1009*g**2 + 506*g**2 + 13. 12*g**2 + 13 Collect the terms in -530*u - 1938*u - 522*u - 527*u + 4574*u - 528*u - 531*u. -2*u Collect the terms in -3*w**2 - 6*w**2 + 828 - 5*w + 11*w - 8*w**2. -17*w**2 + 6*w + 828 Collect the terms in -77855*a**2 - 77849*a**2 + 18*a**3 + 233555*a**2 + 5*a**3 - 77851*a**2. 23*a**3 Collect the terms in 31491*m + 4445*m - 5621*m. 30315*m Collect the terms in 322522176739577*b + 5*b**2 - 322522176739577*b. 5*b**2 Collect the terms in 1549*f - 3806*f - 17968*f. -20225*f Collect the terms in 1094*m**3 + 249*m**3 - 5*m - 8*m + 13*m. 1343*m**3 Collect the terms in 437*k - 1398729 + 1398729. 437*k Collect the terms in -52*x**2 + 13*x**2 + 493*x**3 + 55*x**3. 548*x**3 - 39*x**2 Collect the terms in 4283*m**2 - 3375*m**2 - 11615*m**2. -10707*m**2 Collect the terms in 3213*v + 3146*v - 9540*v + 3183*v. 2*v Collect the terms in -1127 + 2254 - 1125 - 92*b**2. -92*b**2 + 2 Collect the terms in 1140*o + 3 + 0 + 609*o + 8757*o. 10506*o + 3 Collect the terms in 5506*q - 16352*q + 5427*q + 5425*q. 6*q Collect the terms in 55 + 94424*o**2 - 2*o - 55. 94424*o**2 - 2*o Collect the terms in 368721*t**3 - 189*t**2 - 184341*t**3 + 189*t**2 - 184381*t**3. -t**3 Collect the terms in 21*m**2 - 42*m + 17*m - 20*m**2 - 54 + 18*m. m**2 - 7*m - 54 Collect the terms in 87 + 34995*p - 167 + 80. 34995*p Collect the terms in -248656*g - 247494*g + 496148*g. -2*g Collect the terms in 87*i + 4309 - 6181 - 8437. 87*i - 10309 Collect the terms in 16932*x**3 + 12142*x**3 - 3550*x**3. 25524*x**3 Collect the terms in -24*w**2 + 45*w**2 - 42*w**2 - 11*w**2 - 49. -32*w**2 - 49 Collect the terms in -79*q**2 + 36*q**2 + 34*q**2 + 6*q + 496 + 11*q**2. 2*q**2 + 6*q + 496 Collect the terms in -58541*w**2 - 106 + 29269*w**2 + 29269*w**2 + 210. -3*w**2 + 104 Collect the terms in 2*p**2 + 1352697 - 1352697. 2*p**2 Collect the terms in -907*f - 891*f - 899*f + 3614*f - 909*f. 8*f Collect the terms in -46*q - 38*q**2 - 2*q**2 + 6*q + 11*q + 29*q + 22*q**2. -18*q**2 Collect the terms in -602*y**2 + 597*y**2 + 13 - 2*y + 2*y**3 + 4*y - 2*y. 2*y**3 - 5*y**2 + 13 Collect the terms in -1603947*q + 1603947*q - 23067*q**3. -23067*q**3 Collect the terms in -8*m**2 + 849*m + 49*m**3 + 8*m**2 - 846*m. 49*m**3 + 3*m Collect the terms in -164500*p - 8*p**3 - 164491*p - 164496*p + 493487*p. -8*p**3 Collect the terms in -300*k + 217*k + 75*k**3 + 42*k + 37*k. 75*k**3 - 4*k Collect the terms in 42227*u - 42227*u + 2408*u**2. 2408*u**2 Collect the terms in -67*t**2 + 6*t**3 - 36*t**2 + 35*t**2 + 2*t**2. 6*t**3 - 66*t**2 Collect the terms in 0 + 0 + 1 + 3303545*z**3. 3303545*z**3 + 1 Collect the terms in -120 + 466*s**3 - 124 - 126 + 370. 466*s**3 Collect the terms in 4*g + 186975*g**3 - 49*g + 45*g. 186975*g**3 Collect the terms in 4*t**2 - 183794130*t + 183794130*t. 4*t**2 Collect the terms in 50 - 2 + y**2 - 28 + 43. y**2 + 63 Collect the terms in -4666*n**3 - 142*n**2 + 142*n**2 + 4638*n**3. -28*n**3 Collect the terms in -3042*q**2 + 4232*q**2 - 3033*q**2 + 1841*q**2. -2*q**2 Collect the terms in -115*w + 9983913*w**2 + 115*w - 9986638*w**2. -2725*w**2 Collect the terms in -4*k**2 + 1022649 - 2045264 + 1022615. -4*k**2 Collect the terms in -72*d**2 - 232*d**2 + 554*d**2 - 69*d**2. 181*d**2 Collect the terms in -2*c - 795852 - c + 796363. -3*c + 511 Collect the terms in 1832*u + 24027*u - 602*u. 25257*u Collect the terms in 18*i**3 - i**3 - 14919398508*i**2 + 14919398508*i**2. 17*i**3 Collect the terms in -1755 + 3448 + 25*a - 32*a**3 - 1693 + 21*a. -32*a**3 + 46*a Collect the terms in -45 + 70*b**2 - 48 + 118*b**3 + 93 - 69*b**2. 118*b**3 + b**2 Collect the terms in -7*q**2 - 612204*q + 26*q**2 + 612204*q + 2*q**2 + 25*q**2. 46*q**2 Collect the terms in 50 - 50 - 601901*z. -601901*z Collect the terms in 41 + 36 - 150 + 12*j + 37 + 33 - 19*j**2. -19*j**2 + 12*j - 3 Collect the terms in 3 - 237*d**2 - 1801*d**2 - 2116*d**2. -4154*d**2 + 3 Collect the terms in -1 - 3812*a**2 + 1 + 1185*a**2 + 1313*a**2 + 1321*a**2. 7*a**2 Collect the terms in 18*c - 81*c + 17*c + 13*c + 12*c + 19*c - 18. -2*c - 18 Collect the terms in 2499*f + 1360*f + 5018*f + 151*f - 345*f. 8683*f Collect the terms in -33*v**3 + 5*v**3 + 13*v**3 + 147811*v**2. -15*v**3 + 147811*v**2 Collect the terms in -42*g**3 + 2*g**2 - 7*g**3 + 23*g**3 + 73 + 10. -26*g**3 + 2*g**2 + 83 Collect the terms in 258*m**2 - 200*m**2 - 1660 - 57*m**2. m*
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in 59*l**2 - 21*l**2 - 36*l**2. 2*l**2 Collect the terms in -834*i - 642*i - 1921*i. -3397*i Collect the terms in 9*s**3 - 357*s**3 - 550*s**3. -898*s**3 Collect the terms in -2*p**2 - 50085*p + 50085*p. -2*p**2 Collect the terms in -58*n**2 - 46*n**2 - n**3 + 104*n**2. -n**3 Collect the terms in -26*v - 3*v - 13*v. -42*v Collect the terms in 2*g - 2*g - 11*g**3. -11*g**3 Collect the terms in 7*p**3 + 6*p**3 + 10*p**3 + 2*p**3 - 28*p**3. -3*p**3 Collect the terms in -11*c**2 + 2*c**2 + 16*c**3 + 9*c**2. 16*c**3 Collect the terms in 215 + 2*p - 68 - 74 - 73. 2*p Collect the terms in 37*l - 2*l - 9*l. 26*l Collect the terms in -261 + 4*x - 266 + 527 - x. 3*x Collect the terms in 6*v**2 + 2*v + 3*v - 18*v**2. -12*v**2 + 5*v Collect the terms in -42 + 41 + 0 + 1 - v**2. -v**2 Collect the terms in 18610 - t**2 - 18610. -t**2 Collect the terms in -2*q**3 - 1101*q - 3*q**3 + 1101*q. -5*q**3 Collect the terms in -4*h**3 - 21 + 8 + 2*h**3 + 0*h**3. -2*h**3 - 13 Collect the terms in -976*p**2 - 1 + 977*p**2 + 1. p**2 Collect the terms in 0*s + 7*s**3 + 0*s + 8*s**3. 15*s**3 Collect the terms in 14*u**3 - 89*u**3 + 53 - u - 53. -75*u**3 - u Collect the terms in 144 + 49 - 2*k - 37. -2*k + 156 Collect the terms in 3 - 6 - 5*i + 3. -5*i Collect the terms in -137*z - 146*z - 144*z - 146*z + 572*z. -z Collect the terms in -1061*i**3 + 540*i**3 + 520*i**3. -i**3 Collect the terms in -3 + 212*y**2 + 3. 212*y**2 Collect the terms in -37*t - 3 + 2 + 2. -37*t + 1 Collect the terms in -30*a + 19*a + 34*a + 42*a. 65*a Collect the terms in 5*c**2 - 1 - 11 - 2*c**2 - 2. 3*c**2 - 14 Collect the terms in 21*l - 8*l - 11*l. 2*l Collect the terms in -k**3 - 46*k + 46*k. -k**3 Collect the terms in -12*s**3 + 71*s**3 + 20*s**3. 79*s**3 Collect the terms in 5196 - 5196 + z. z Collect the terms in -10*l + 51768 - 51768. -10*l Collect the terms in 1661 - 1661 + 41*c - 42*c. -c Collect the terms in -12*u**2 + 38*u + 12*u**2 - 12*u + 2*u**3. 2*u**3 + 26*u Collect the terms in 286*w**2 - 283*w**2 + 3*w - 3*w. 3*w**2 Collect the terms in -4*j + 4*j - 16*j. -16*j Collect the terms in 64*a**3 + 6*a**2 + 14*a**2 - 20*a**2. 64*a**3 Collect the terms in 8*z**3 + 3*z**2 + 5*z**2 - 8*z**2. 8*z**3 Collect the terms in -14*u + 27*u - 6*u. 7*u Collect the terms in 8*k**3 + 3*k**3 - 177*k + 2*k**2 + 177*k. 11*k**3 + 2*k**2 Collect the terms in -3*b - 2*b + 7*b - 1 - 3. 2*b - 4 Collect the terms in 14*o**3 - 21*o**3 + 14*o**3. 7*o**3 Collect the terms in 55*u - 23*u - 26*u. 6*u Collect the terms in -4*f**3 + 26*f - 26*f. -4*f**3 Collect the terms in 7*t - 17*t + 3*t + 14*t + 2*t. 9*t Collect the terms in -2*k**2 - 3*k**3 + 6*k**3 + 2*k**2. 3*k**3 Collect the terms in -28 + 12 + 15*i**2 + 12. 15*i**2 - 4 Collect the terms in -4*v + 4*v - 283*v**2 + 559*v**2 - 277*v**2. -v**2 Collect the terms in 70 - 70 + 2*m**2. 2*m**2 Collect the terms in 1 + 3 + 2*w - 3 + 1. 2*w + 2 Collect the terms in 6*y**3 + 2*y**3 + 8*y**3 - 7*y**3 - 10*y**3. -y**3 Collect the terms in -6 + q + 6. q Collect the terms in 5*t + 40*t - 8*t - 19*t. 18*t Collect the terms in -493*n + 4 - 4. -493*n Collect the terms in 3 - 3 - 125*t - 124*t + 247*t. -2*t Collect the terms in 3*t**2 + 1056*t - 1056*t. 3*t**2 Collect the terms in b - 5*b + 4*b - 545*b**2. -545*b**2 Collect the terms in 96 + 15*s - 96. 15*s Collect the terms in 0 - 82*v**3 - 161*v**3 + 0 + 2*v**2. -243*v**3 + 2*v**2 Collect the terms in -97*r - 1 + 5 + 96*r. -r + 4 Collect the terms in -264*i + 264*i - 8*i**3 + 6*i**3. -2*i**3 Collect the terms in -2*l + 2*l - 25 - 31 - 4*l**3. -4*l**3 - 56 Collect the terms in -7*x + 7*x + 15*x. 15*x Collect the terms in 79*o**3 - 131*o**3 + 51*o**3. -o**3 Collect the terms in 3*p**3 - 114*p**2 + 114*p**2. 3*p**3 Collect the terms in 2*y - 3*y - 2*y. -3*y Collect the terms in -w - 2*w + 8*w. 5*w Collect the terms in j - 17*j**3 - j + 62*j**3. 45*j**3 Collect the terms in -13*j**2 + 43*j**2 - 21*j**2. 9*j**2 Collect the terms in 67*a - 16*a + 9*a + 18*a. 78*a Collect the terms in -14*q**3 - 5811*q + 5811*q. -14*q**3 Collect the terms in -28 + 28 - 17*a + 15*a. -2*a Collect the terms in -179*k**3 - 182*k**3 + 358*k**3. -3*k**3 Collect the terms in 6 + 926*m**2 - 6 - 929*m**2. -3*m**2 Collect the terms in -685*t + 707*t + 2*t**2 + t**2. 3*t**2 + 22*t Collect the terms in 80*h**2 - 6*h**2 - 41*h**2. 33*h**2 Collect the terms in 5*k + k - 7*k. -k Collect the terms in 7*k**3 - 3*k**3 - 9*k**3 - 13*k**3. -18*k**3 Collect the terms in -23*u - 15*u**2 + 23*u + 16*u**2. u**2 Collect the terms in -16017 + 6*w + 16017. 6*w Collect the terms in -10*c**3 - 16*c**3 + 27*c**3. c**3 Collect the terms in -3*j**2 + 478916*j - 478916*j. -3*j**2 Collect the terms in o**2 + 7*o**2 + 9*o**2 + 8*o**2 - o**2. 24*o**2 Collect the terms in -5 + 2 + 24*k**2 - 4. 24*k**2 - 7 Collect the terms in -390*i + 198*i + 4 - 4 + 191*i. -i Collect the terms in -24*y**3 + 176 + 2*y - 176. -24*y**3 + 2*y Collect the terms in -11*w**2 + 62*w**2 - 43*w**2. 8*w**2 Collect the terms in 78*m**2 - 147*m**2 + 92*m**2. 23*m**2 Collect the terms in 1 - 1 + 435*z**3 - 436*z**3. -z**3 Collect the terms in -25*q + 25*q - 3*q**2. -3*q**2 Collect the terms in 23*v + 23 - 27*v - 23. -4*v Collect the terms in 17*b**2 - b - 54*b**2 + b. -37*b**2 Collect the terms in -57*k**3 - 2 + 2 + 58*k**3. k**3 Collect the terms in 3173 - 3173 - 3*z**2. -3*z**2 Collect the terms in 4 - 2*r**2 - 4. -2*r**2 Collect the terms in -2 - 12*a**2 + 8*a**2 + 0. -4*a**2 - 2 Collect the terms in j**2 - 7*j**2 + 3*j**2. -3*j**2 Collect the terms in -4*g**3 - 2*g + 0*g**3 + 2*g. -4*g**3 Collect the terms in -6*f + 6*f - 7*f - 9*f. -16*f Collect the terms in 19*c + 12*c - 68*c + 13*c + 17*c. -7*c Collect the terms in 178*x**2 + x**3 - 178*x**2 + x**3. 2*x**3 Collect the terms in 7*f + 4*f - 6*f + 5*f. 10*f Collect the terms in 10*x**2 - 32 + x**2 + 32. 11*x**2 Collect the terms in -4*m - 2*m**2 - 32*m**3 - 16*m**3 + 4*m. -48*m**3 - 2*m**2 Collect the terms in -11*d + 30*d - 19*d - d**2. -d**2 Collect the terms in 5757*r**3 - 3 - 2876*r**3 - 2883*r**3 + 3. -2*r**3 Collect the terms in v - 114 + 114. v Collect the terms in 150*u**2 - 299*u**2 + 150*u**2. u**2 Collect the terms in -5*v**2 + 432 - 432. -5*v**2 Collect the terms in 178*f**2 - 353*f**2 - 489*f**2. -664*f**2 Collect the terms in -3*t - 13*t - 5*t - 24*t + 3*t. -42*t Collect the terms in 7*o**3 + 13*o**3 + 4*o**3 - 25*o**3. -o**3 Collect the terms in 14*n**3 - 6*n**3 + 4 - 72*n**3. -64*n**3 + 4 Collect the terms in 5*v**3 - 36*v + 36*v. 5*v**3 Collect the terms in 45*j + 124*j + 20*j. 189*j Collect the terms in 2 - 13*g + 0 - 2. -13*g Collect the terms in 5*i**3 - 3*i**3 + 2*i**3 + 2*i**3. 6*i**3 Collect the terms in -19*n**2 + 0*n + 25*n**2 + 0*n - n**3. -n**3 + 6*n**2 Collect the terms in 48 - 48 + 23*q. 23*q Collect the terms in 54*x - 3*x**3 - 106*x + 52*x. -3*x**3 Collect the terms in -2*x**2 - 2*x**2 - 2*x**2 + 2*x**2. -4*x**2 Collect the terms in 38*v**2 + 8*v**3 - 38*v**2 - 3*v**3. 5*v**3 Collect the terms in 33*j**2 - 4*j - j + 5*j. 33*j**2 Collect the terms in 212*y**2 + 16*y**3 + 0*y**3 - 212*y**2. 16*y**3 Collect the terms in 75*x**2 + 1 + 11*x**2 + 98*x**2. 184*x**2 + 1 Collect the terms in 52 + 2*s + 51 - 153 + 50. 2*s Collect the terms in -2*z + 4*z + z. 3*z Collect the terms in 5*c - 6*c - c + 113*c**2. 113*c**2 - 2*c Collect the terms in 2*n - 3*n + 4*n. 3*n Collect the terms in 16*s**3 + 8*s**3 - 3*s**2 + 3*s**2. 24*s**3 Collect the terms in x**3 - 7*x**3 - 8*x**3 - x**3. -15*x**3 Collect the terms in -8*d**3 - 7*d**3 - 16*d**3 + 33*d**3. 2*d**3 Collect the terms in 5*v**3 + 9*v**3 + 5*v**3 - 18*v**3. v**3 Collect the terms in 0*c + 6*c - 2*c + c. 5*c Collect the terms in c + 30*c**2 - c + 3*c**2. 33*c**2 Collect the terms in -14 + 31 + 52*a**2 - 17. 52*a**2 Collect the terms in 2*h - 142 + 612 - 470. 2*h Collect the terms in -6*x**2 - 110 + 220 - 110. -6*x**2 Collect the terms in -14*i + 10*i + 6*i. 2*i Collect the terms in -52 + 66 - 2*u**2 - 14. -2*u**2 Collect the terms in 3*p + 5*p - 4*p + 3*p. 7*p Collect the terms in 5*k - 2*k + k + k. 5*k Collect the terms in -133*y**2 + 134*y**2 - 2*y + 2*y. y**2 Collect the terms in 166*d**3 - 315*d**3 + 164*d**3. 15*d**3 Collect the terms in -27*u**3 + 14*u**3 +
{ "pile_set_name": "DM Mathematics" }
rue Let b(o) be the second derivative of o**7/2520 + o**6/360 - o**5/120 - o**4/6 + o. Let f(s) be the third derivative of b(s). Is f(-6) a prime number? True Let k = 72 - 21. Suppose 2*x = -x + k. Let z = 66 - x. Is z a prime number? False Let i(u) be the first derivative of -28*u**4 + 2*u**3/3 + u**2 + u + 4. Is i(-1) composite? False Suppose 0 = 4*u - 4, -g + 5*u = -2*g + 912. Is g a prime number? True Let c be 3/(1 + 3/6). Let i(x) = -5 - c*x**3 - 8*x + 12*x + x**3 + x**2. Is i(-4) a prime number? True Suppose -2*b = 3*b + 10. Is b/10 + (-956)/(-5) prime? True Suppose 2891 = 8*m - 1021. Is m a composite number? True Let q = 416 + -237. Is q prime? True Suppose -5*h + 139 = 2*r + 2*r, 105 = 4*h - 3*r. Suppose 5*f + 5*t = -40, -5*t - 14 - 10 = 3*f. Let n = f + h. Is n a composite number? False Suppose 8789 = 3*q - i - i, -2*i = 5*q - 14627. Is q composite? False Let u be 158/5 + (-6)/(-15). Suppose -5*d = -4*p - 5, 0 = p - 5*d - 12 + u. Suppose -4*v + p*h + 151 = -70, -3*v = -h - 152. Is v composite? True Let y = 607 + 294. Is y composite? True Let d = 205 + -114. Let g = d - 38. Is g a composite number? False Suppose 0 = 2*c + 4 + 6, -2*u + 39 = -5*c. Suppose 0 = 2*s - u*s + 745. Is s prime? True Suppose -4*s + 3*a + 9661 = 0, 12835 - 3189 = 4*s + 2*a. Is s prime? False Suppose k + 102 = 6*z - 3*z, 0 = 4*z + 20. Let n be k/6*4/(-3). Is (3/(-6))/((-1)/n) a prime number? True Let h = 8 - 22. Is (h + 2 - -1)*-7 a prime number? False Is (2811/(-15))/(1/(-5)) a composite number? False Let n = -19 - -1232. Is n a prime number? True Suppose -72 = g + 2*r - 3*r, -3*r = 5*g + 376. Suppose -5*d - 108 = -3. Let f = d - g. Is f a composite number? False Let o = 21 + 2. Is o a composite number? False Let b = 2 - 0. Suppose b*d - 60 = 7*d. Let m = d - -26. Is m a composite number? True Is (3 + 5596/8)*2 prime? False Suppose 4*d - 2526 = -642. Is d prime? False Suppose 2*v - 5*v - 12 = 0, 4*x - 2*v - 2884 = 0. Is x a prime number? True Let z = 30 + 19. Let v = z - -69. Is v prime? False Let b = -7 + 13. Let x(m) = -11*m + 1. Let p be x(b). Let r = 154 + p. Is r a composite number? False Let k = 249 + -158. Is k prime? False Suppose g - 222 = -3*y, -7*g + 2*g + 5*y + 1210 = 0. Is g a prime number? False Is ((-74)/4)/((-4)/8) a composite number? False Suppose 3*x - 12 = p, 0 = -2*p + 4*p - 6. Suppose 8*g - 3*g = 0. Suppose -2*i - 33 = -g*o - o, -x*o + 4*i = -165. Is o a prime number? False Let s be (-4)/(-10) + 108/30. Suppose -37 + 269 = s*c. Is c a composite number? True Let y(q) = q**3 + 20*q**2 - 12*q - 60. Is y(-19) a composite number? True Let p(n) = -11*n**2 - n - 1. Let o be p(2). Let k = o - -89. Suppose -3*m + 69 = -k. Is m prime? True Let q(k) = -296*k - 7. Is q(-10) a prime number? True Let q(d) = -57*d**3 + 2*d + 1. Let l = -2 + 1. Let w be q(l). Suppose -20 - w = -4*g. Is g composite? False Let h = -68 - -15. Let y = h + 102. Is y a composite number? True Suppose 136 = -k + 2*k + 3*z, -4*k - 3*z = -562. Let p(g) = 3*g - 1. Let t be p(5). Suppose t = 4*u - k. Is u composite? True Let u = 10 - 16. Let z(b) = -3*b**3 - 9*b + 7. Let g(d) = -d + 1. Let h(o) = u*g(o) + z(o). Is h(-3) prime? False Suppose 2 - 12 = -2*x. Suppose 4*k = x*n - n + 848, k - 2*n = 211. Is k a composite number? True Let w(j) = -2*j**2 - 3*j. Let v be w(-4). Let a be 10/(-4)*16/v. Suppose a*p - 8 + 19 = 3*b, 2*p = 4*b - 14. Is b a prime number? True Let j = 9 - 2. Is 42/(-15)*(2 - j) prime? False Let b(p) = p**3 - 4*p**2 - 4*p + 3. Let g be b(5). Is g/(-4) - (-2 + -26) a prime number? False Let z be 6/(-4)*4/(-6). Is z/(-1)*(0 + -31) a prime number? True Suppose 4*r - 2*y + 1372 = 2*y, 12 = 3*y. Let i = r + 810. Is i prime? False Let u(o) = -12*o - 2. Let b be u(-2). Suppose -1 = -q - 4*g - 3, -2*q - b = -g. Is (-6)/15 + (-954)/q a prime number? False Let a(m) = 25*m**2 + 4*m + 1. Let d(l) = 51*l**2 + 7*l + 2. Let h(s) = -5*a(s) + 3*d(s). Is h(2) prime? False Let d = 222 + 246. Suppose -d = r + 3*r. Let w = r + 182. Is w composite? True Suppose -14 = -p - p. Is p a prime number? True Is 6/(24/962)*2 a prime number? False Suppose d + 0*d + 62 = 0. Let m = d + 355. Is m a prime number? True Let b = -6 + 2. Let s = b - -41. Is s a composite number? False Let z = 3 - 3. Let p = 2 + z. Is 84 - 1*p/(-2) composite? True Let l be (3 - 3) + 0 + 368. Let d = l - -5. Is d composite? False Suppose 0 = 2*s - 4*s + 8. Is (1 - -1)/(s/158) prime? True Is ((-118)/4)/((-3)/12) a prime number? False Is -51*2/4*-2 composite? True Suppose 0 = -5*v - 0*v + 1345. Suppose -2*c - 2*g - v = -7*c, 3*c = 4*g + 167. Is c composite? False Is -3*((-736)/(-12))/(-8) composite? False Let r = 272 - -405. Is r composite? False Let s = 69 + -29. Let t = s - 17. Is t composite? False Suppose 2*m - m + 5 = 0. Is 972/10 + 1/m composite? False Let o = 133 - 74. Is o a prime number? True Let p(d) = 6*d**3 - 2*d**2 + 2*d - 1. Let q be p(1). Suppose -q = 4*x - 3*x. Let v = -3 - x. Is v composite? False Suppose 49 - 15 = -2*o. Let a = 11 + o. Is ((-561)/a)/((-1)/(-2)) a prime number? False Let w(r) = 21*r - 5. Is w(8) a prime number? True Suppose 0 = -2*d + 6 - 2. Let i be (3 - 14/10) + 4/10. Suppose -s = -i*k - 73, -3*s + k - d*k = -198. Is s prime? True Let m = -24 - -37. Suppose 2*d - m = 9. Is d a prime number? True Let a = -1 + -3. Is 3/3*357 + a prime? True Let z be ((-1)/2 - -1)*8. Suppose 0 = -3*f - 11 - z, 5*r = 4*f + 90. Let y = 7 + r. Is y prime? False Let w = 346 - -49. Is w composite? True Let q(i) = 3*i + 1. Let o be q(-13). Suppose -3*g + 273 = -0*g. Let h = o + g. Is h a prime number? True Suppose 2*w = -j - 15, -5*w + 23 = -2*j - 2*w. Is 2/13 + (-193)/j prime? False Suppose 3*s - 8*s = -25. Let r(o) be the first derivative of 12*o**2 - 7*o - 24. Is r(s) prime? True Let d = 8 - 3. Suppose d*t - t - 592 = -4*n, -4*n = -4*t + 600. Suppose 5*j - 239 = -4*w, -t = -5*j + w + 85. Is j a composite number? False Let z = -717 - -1118. Is z a prime number? True Suppose -4*m + 4 = -0*m. Let v(l) = -4 - m - 4*l - 3*l + l**2. Is v(8) composite? False Suppose 2*j + 2392 = 3*j + 3*w, 3*j - 7231 = 2*w. Is j a composite number? True Let i be (0/(-2))/(0 - -1). Is 147 + (i - (-2 + 0)) a composite number? False Is (-1)/(-2)*(974 - -4) a composite number? True Suppose 2 = 3*i - 4. Suppose 5*s = i*t - 3*t + 786, -s = t - 154. Is s a prime number? False Suppose -7*l + 3*l = -128. Suppose 2*x - 42 = -4*g, l = 2*x + 2*g - 2. Let h = x + 1. Is h composite? True Let i = 23 + 8. Is i a prime number? True Let v = 12 - 8. Suppose 2*y = v*y - 510. Suppose -3*f = -8*f + y. Is f a composite number? True Let w(u) = -2*u**2 - 4*u - 5. Let d be w(4). Let t = d - -99. Suppose 0 = 2*o + 4*z - t, 2*o - 65 = -o - 5*z. Is o a prime number? False Let a = 76 + 115. Is a composite? False Let v be (-6)/(-15) - (-16)/10. Suppose -f + 2*n - n = 6, 4*f = v*n - 18. Is 0/f + 382/2 a composite number? False Let w(r) be the third derivative of -5*r**7/1008 - r**6/720 + r**5/60 - r**2. Let j(x) be the third derivative of w(x). Is j(-2) prime? False Suppose i - 420 = -3*i. Suppose 3*u - 6 - i = 0. Is u composite? False Let j = -452 - -941. Is j composite? True Let j(m) = -m**2 + 4*m - 3. Let r be 4/(-18) - 29/(-9). Let n be j(r). Suppose -2*d + 459 + 203 = n. Is d composite? False Suppose 2*o + 3*o = i + 289, -2*i + 4*o = 584. Let n be (3 - (4 + 1)) + -183. Let x = n - i. Is x a composite number? False Suppose -3*m = 7 - 166. Is m prime? True Suppose -7*l + 2*l = -2245. Is l a prime number? True Suppose 0*v = -3*a + 5*v + 350, -a = 2*v - 113. Is a a composite number? True Let b(q) = 2*q**3 - 2*q**2 - 3*q + 3. Let u be b(2). Suppose -u*g - 3*h = -4*h - 3747, -2*g + 1506 = -4*h. Is g a prime number? False Is 1/(((-2)/(-358))/(2 - 1)) a prime number? True Suppose -v + 1807 = 12*v. Is v prime? True Let x = 5 - 10. Let m = 3 + x. Let u(q) = -3*q**3 + 2*q**2 - q - 1. Is u(m) a prime number? False Suppose 0 = -2*w + g + 377, 0 = -2*w + 4*g + 238 + 124. Is w composite? False Let v(t) = -8*t + 9. Suppose 6*m = 8*m + 20. Is v(m) composite? False Let c(m) = 12*m**2 - 12*m + 1. Let l be c(-11). Suppose -k - 4*k = -l. Is k composite? False Suppose 49 - 389 = -4*v. Is v prime? False Suppose 4*c + v + 40 = -0*v, 3*c = -4*v - 43. Let o = c - -23. Let x = o - 4. Is
{ "pile_set_name": "DM Mathematics" }
). 3 Let s(d) = 140*d**3 - 41*d**2 - 7*d. What are the prime factors of s(5)? 2, 3, 5, 137 Let n(s) = 310*s + 39. What are the prime factors of n(25)? 7789 Suppose 0 = 4*x - 2*l + 2, -22*l = -2*x - 17*l - 5. Let q = 5 - 0. Suppose a - q*a + 124 = x. What are the prime factors of a? 31 Let d be (10/14)/(3/21). Suppose b = 3, 37 + 388 = 2*w - d*b. List the prime factors of w. 2, 5, 11 Suppose -19 = -3*u - 1. Suppose u*n - 3 = 27. Suppose -n*d + d = -332. What are the prime factors of d? 83 Suppose 50524 = 20*x + 14864. What are the prime factors of x? 1783 Let h(k) = -k**3 - 4*k**2 + 4*k - 11. Let z(f) = -f**3 + 23*f**2 + 3*f - 76. Let j be z(23). What are the prime factors of h(j)? 2, 3 Let p(v) be the third derivative of -91*v**4/24 - 3*v**3 + 7*v**2 + 5*v. What are the prime factors of p(-7)? 619 Suppose -4*l = j - 434, 333 = 3*l + 47*j - 50*j. Suppose l = r - 73. What are the prime factors of r? 2, 7, 13 Let v(t) = t**3 + 8*t**2 + 5*t - 4. Let q be v(-5). What are the prime factors of (896/(-28))/((-1)/q)? 2, 23 Let u = -339 + 341. List the prime factors of (u + 129 - (-2)/2) + 1. 7, 19 Let p(v) = v**2 - 3*v - 5. Let m be p(-2). Suppose -4*q - m*q + 27 = 0. Suppose 265 = q*w + 22. List the prime factors of w. 3 Let i(u) = -30*u**2 + 258*u + 4. List the prime factors of i(4). 2, 139 Let b(g) = -133*g**3 - 65*g**2 + 12*g + 21. What are the prime factors of b(-5)? 3, 4987 Suppose 5*f - 2*c = -5*c + 875, 2*c + 506 = 3*f. List the prime factors of 164/56*f - (-2)/7. 2, 3, 7 Let r(n) = 600*n**2 - 25 - 132*n**2 - 5*n - 8*n - 290*n**2. List the prime factors of r(-2). 23, 31 Suppose -u - 3*c = -26, 4*c + 132 = 5*u - 74. Suppose 2*z + 6 = u. Suppose 2*t - z = 14. List the prime factors of t. 3, 5 Suppose 61 = 5*x - f, x - 35 = -2*x + f. Let h(q) = 7*q**3 + 36*q**2 - 157*q. Let n be h(4). Suppose n = x*b - 4*b. List the prime factors of b. 2, 11 Let m = 10 + -2. Suppose 2450*q = 2527*q - 12089. Suppose -35 = -m*u + q. What are the prime factors of u? 2, 3 Suppose -4*n + 116884 = -2*r, 4*n - 4*r - 55795 - 61081 = 0. List the prime factors of n. 3, 17, 191 What are the prime factors of (-8 + -468)*(52/(-8) - 0/2)? 2, 7, 13, 17 Let g(p) = -286*p - 852. List the prime factors of g(-18). 2, 3, 179 Let f = 5 + -8. Let x be f/8 - 29/8. What are the prime factors of 1*(x - 0) + 67? 3, 7 Let s be (81 + 3)/((-2)/19 + 0). Let l be 9/18 + (s/(-4))/(-3). Let u = 66 - l. What are the prime factors of u? 2, 3, 11 Suppose 8*u - 10640 = -5*s, -4*u - s + 1330 = -3*u. What are the prime factors of u? 2, 5, 7, 19 Let h = -5595 - -11173. List the prime factors of h. 2, 2789 Let n = -60391 - -109193. What are the prime factors of n? 2, 13, 1877 Let j = 80371 + -39447. What are the prime factors of j? 2, 13, 787 Let p(b) = b**3 + 4*b**2 - b - 2. Let d be p(-4). Suppose 0 = 13*k - d*k + 55. List the prime factors of (48/10)/((-1)/k). 2, 3 What are the prime factors of -8*((-58810)/140)/(-1)*-7? 2, 5881 Let z be 2/3 - (-11199)/9. Suppose 915 = 3*a - 3*x, 4*a = -3*x + 2*x + z. Suppose 2*k = -3*k + a. What are the prime factors of k? 2, 31 Let o(v) = -2 - v**3 - 4*v**2 + 13 + 14*v - 4*v + 14*v**2. Let i be o(11). Suppose i = 26*p - 21*p - 35. What are the prime factors of p? 7 List the prime factors of ((-19191)/6)/((-12)/24). 6397 Suppose -70020 = -32*i + 66076. What are the prime factors of i? 4253 Suppose -6*f = -5*f. Suppose 0 = v + 5*q - 25, -q + 6*q - 25 = f. Suppose v = -5*o + 10*o - 130. What are the prime factors of o? 2, 13 Suppose 5*h + 5*l = h + 16, l + 16 = 4*h. Suppose -h*r - 236 = 2*f, -369 = 3*f + 2*r - r. Let o = -65 - f. List the prime factors of o. 59 Suppose 2*i - 5*y - 233223 = 0, 5*i + 3*y = 2*i + 349803. List the prime factors of (-5)/35 - i/(-84). 2, 347 Suppose 22650 = 2*x + 4*p, -3*p = x - 5103 - 6220. What are the prime factors of x? 11329 Let j = 158 + -152. Suppose j*c = 4*c + 4*b + 924, -4*c + 3*b + 1863 = 0. What are the prime factors of c? 2, 3, 13 Let p = 41037 - -857. List the prime factors of p. 2, 20947 Let y be (8/(-12))/((-2)/135). Let x = y - 45. Suppose 5*n - 364 - 61 = x. What are the prime factors of n? 5, 17 Suppose -4*f = -3*j + 2062, -4*j - 3*f + 704 + 2012 = 0. Let o = 708 - j. What are the prime factors of o? 2, 13 Let y be 53150/210 + (-4)/42. Let v = 565 - y. List the prime factors of v. 2, 3, 13 Let o(m) = -3*m + 119. Let c be o(33). Suppose 17*b = c*b - 555. List the prime factors of b. 5, 37 Let a(j) = -j**3 + 15*j**2 - 9*j - 11. Let n = 344 - 332. What are the prime factors of a(n)? 313 Let w(m) = -m**3 - m + 2. Let b be w(2). Let o be -2*(1 + (-248)/16). Let q = o - b. List the prime factors of q. 37 Suppose 53*g - 9746601 = -250*g. List the prime factors of g. 19, 1693 Suppose -15*r + 20 = -11*r. Suppose -5*n - 291 = -8*n - 3*g, -10 = r*g. List the prime factors of n. 3, 11 Suppose -5*k + d = -115, -67*d + 62*d = 2*k - 19. Let y be 130 + 0 + -2*1. Suppose b = y + k. What are the prime factors of b? 2, 3, 5 Let t(g) = 11*g**2 - 6*g - 68. Let n be t(-17). Suppose 35*m - 672 = n. What are the prime factors of m? 3, 37 Let n(c) = -17*c + 9. Let g be n(5). Let w = 32 + g. What are the prime factors of (-1752)/w - 6/(-33)? 2, 5 Let l = -44 + 110. Let s be 2/(-4 - l/(-15)). Suppose -7 = s*f - 2, 0 = -3*k + 4*f + 292. List the prime factors of k. 2, 3 Suppose -4*j + c + 3076 = 0, j - 5*c - 4645 = -3895. List the prime factors of j. 2, 5, 7, 11 List the prime factors of (0 - 1)*(-204 - -192). 2, 3 Let q(p) = -p**2 - 21*p + 43. Let v be q(-23). Let c(i) = -i**2 - i + 10. List the prime factors of c(v). 2 Suppose 163*r - 39966 = 157*r. Suppose 4*b - 6400 = -4*t, 0 = 3*b - 5*t + 1885 - r. What are the prime factors of b? 1597 Let l = 7022 - -6915. List the prime factors of l. 7, 11, 181 Suppose -2*y - 4*l = -6, 6*y + l - 51 = y. Suppose -6*m + 799 = y*m. Suppose 4*k - 64 = -4*o, 0*o + k + m = 2*o. What are the prime factors of o? 3, 7 Let n = -703 - -504. Let f be (3/(-6)*-214)/(-1). Let i = f - n. List the prime factors of i. 2, 23 What are the prime factors of (27 - (494 + 13))*((-5544)/(-10))/(-3)? 2, 3, 7, 11 Suppose -97*q + 1615895 - 171701 = 13056. List the prime factors of q. 2, 3, 2459 Suppose 4*t = 5*u - 3213, -4*t - 435 - 1496 = -3*u. What are the prime factors of u? 641 Suppose 4*d - 5*i - 35735 = 0, -4*i - 17860 = -1683*d + 1681*d. List the prime factors of d. 2, 3, 5, 149 Let b = 379 + -216. Let s(a) = -a**2 + 7*a + 4. Let v be s(-7). Let d = b + v. List the prime factors of d. 3, 23 Suppose 5*b + 6*v - 23 = 2*v, 0 = -4*b - v + 25. Suppose 5*x - 4*m + 27 = 0, 5*x + 2*m + 2 + b = 0. List the prime factors of ((-3)/(-2))/(x/(-56)). 2, 7 Suppose 0 = -551*o + 550*o + 5*f + 139, 0 = o - 4*f - 136. Suppose 0 = -0*l - l + 22. Let p = o + l. What are the prime factors of p? 2, 73 Suppose -152*x + 27228 = -1030540. What are the prime factors of x? 6959 Let j(f) = -440*f + 9 + 3 + 31 - 238*f - 4. What are the prime factors of j(-1)? 3, 239 Let w be 11/(4/(-40) - 167/(-1570)). Suppose 29*b + w = 40*b. What are the prime factors of b? 157 Suppose -p + 5794 = 3*k, -23311 = -4135*p + 4131*p + 3*k. List the prime factors of p. 5821 Suppose 51*d - 3024726 = -58413. What are the prime factors of d? 7, 1187 Let z(b) = 23*b**2 + 18*b - 9. Let f be z(9). Suppose -6*c = -15*c + f. What are the prime factors of c? 2, 7 Let w = -73 - -76. Suppose 3*q = -4*d + 1 + 35, w*d + 4*q - 20 = 0. List the prime factors of d. 2, 3 Let a(n) = n**3 - 9*n**2 - 6*n - 10. Let c(f) = -f**2 - 9*f - 14. Let l be c(-5). Suppose l*g - 36 = 30. List the prime factors of a(g). 2, 83 Suppose -3*p = p. Let y(s) be the second derivative of s**3/3 + 78*s**2 - 88*s + 1. List the prime factors of y(p). 2, 3, 13 Let g(x) = -6*x**2 + 5. Let l(d) = -d**2 + 1. Let w(b) = g(b) - 3*l(b). Let f be w(2). List the prime factors of (f/(-4) - 0)*(-774)/(-15). 3, 43 Let q(n) = 203*n + 8. Let b(k) = -k + 8. Let t be b(-2). List the prime factors of q(t). 2, 1019 Let f be 6/9*9 - 2. Suppose -56 + 12 = -f*n. What are the prime factors of 93 + (-1 + n)/(-5)? 7, 13 Suppose 2*x - f + 3*f = 14, -5*x - 2*f + 29 = 0. Suppose -k + 4*t + 19 - 1 = 0, x*t - 15 = -5*k. Suppose -o = -k*o + 150. What are the prime factors of o? 2, 3, 5 List the prime factors of 13545/2 + (-7)/(-14). 13, 521 Suppo
{ "pile_set_name": "DM Mathematics" }
t is the second derivative of z(g) wrt g? 36*g**2 + 10 Let o(d) = 268*d**2 + 318. Let s(k) = 2950*k**2 + 3500. Let t(r) = 65*o(r) - 6*s(r). What is the derivative of t(y) wrt y? -560*y Suppose 4*v - 35 - 24 = -5*p, -5*v + 4*p = -125. Find the third derivative of v*c**2 - 14*c**2 - 16*c**4 - c + c wrt c. -384*c What is the third derivative of -6*c**2 - 102*c**6 + 14*c**6 + 90*c - 86*c wrt c? -10560*c**3 Let f(q) = -q. Let c(m) = -m**3 - 6*m**2 + 8*m + 5. Let n be c(-7). Let x(h) = -5*h - 1 + h + 2. Let v(p) = n*f(p) - x(p). Differentiate v(i) with respect to i. 6 Let b(a) = 6*a**2 - 41*a - 181. Let r(o) = 16*o**2 - 122*o - 541. Let q(n) = 11*b(n) - 4*r(n). Find the first derivative of q(y) wrt y. 4*y + 37 Suppose -12 = -x - 9. Let j(h) = -12*h - 3. Let c be j(-2). Differentiate 4 - 3*d + x*d + 18*d**3 - c*d**3 with respect to d. -9*d**2 Suppose 9*h - 4*h = 10. Suppose -h*t + 1 = 3*a, 9 = 5*t - 0*t + a. Differentiate 0*b**2 - t + 5*b**2 - 4*b**2 - 2 with respect to b. 2*b Let t(i) = -3*i. Let o(g) = -362*g**3 - 660*g**2 - 3*g. Let d(x) = -o(x) + t(x). Find the third derivative of d(u) wrt u. 2172 Suppose 5*m + 44 = -5*k + 4*k, 3*m + 28 = -k. Let z = 13 + m. Find the second derivative of 6*f - z*f**5 + f**5 - 4*f wrt f. -80*f**3 What is the third derivative of -313*s**3 + 634*s**3 - 591*s**2 + 336*s**3 + 204*s**2 wrt s? 3942 Let l(a) = -7*a**2 - 1 - 28*a + 4 + 2*a**2 - 23*a**2. Let c(t) = -t**2 + 1. Let r(x) = 3*c(x) - l(x). What is the second derivative of r(y) wrt y? 50 Let j = -2 - -24. What is the derivative of 0 + 454*h**3 + j - 439*h**3 wrt h? 45*h**2 Let c(o) = -5*o + 14. Let j(x) = x - 1. Let s(q) = c(q) + 6*j(q). Let t be s(-8). Find the third derivative of m**5 + m**2 + 0 + t + 4*m**5 wrt m. 300*m**2 What is the first derivative of -115 - 36 + 4*l**2 + 23 - 213 + 6*l**2 wrt l? 20*l Suppose -2*u = 3*u + 170. Let w = 39 + u. Find the second derivative of 7*f**2 - 8*f + 3*f - w*f wrt f. 14 Let s(n) = 4*n**3 - n**2 - 1. Let m(c) = 5*c**3 + 6*c**2 + 2*c - 212. Let t(v) = -m(v) + 5*s(v). Find the second derivative of t(k) wrt k. 90*k - 22 Let j(o) = -75*o**4 + 4*o**3 - 64*o**2 + 4. Let u(q) = -74*q**4 + 3*q**3 - 64*q**2 + 3. Let b(k) = 3*j(k) - 4*u(k). What is the third derivative of b(g) wrt g? 1704*g Let a(o) = 3*o. Let g be a(-7). Let u be -2 + -4*g/6. Differentiate -2*f**2 + 2*f**2 - u*f**4 + 8 with respect to f. -48*f**3 Let l(j) be the first derivative of -44 - 3/2*j**2 + 34*j. Differentiate l(q) with respect to q. -3 Let q(d) be the second derivative of 53*d**6/15 - 2*d**4/3 + 53*d. What is the third derivative of q(w) wrt w? 2544*w Let n(c) = -252*c - 152. Let a(k) = -499*k - 305. Let g(b) = -4*a(b) + 9*n(b). Find the first derivative of g(i) wrt i. -272 Let t be 1/(((-2)/(-3))/((-8)/(-3))). Find the second derivative of 6*z - t*z + 11*z - 6*z**2 + 3*z wrt z. -12 What is the second derivative of -44*w**4 + 3*w**2 + 776*w**4 - 3*w**2 + 66*w**4 + 237*w wrt w? 9576*w**2 Suppose -174*t = -149*t. Let f(r) be the first derivative of 3*r + 5/4*r**4 + 11 + 0*r**2 + t*r**3. Differentiate f(v) wrt v. 15*v**2 Let u(c) be the third derivative of 13*c**7/210 + c**5/60 - 11*c**4/24 + 110*c**2. What is the second derivative of u(y) wrt y? 156*y**2 + 2 Let r(f) = 15*f**3 - 10*f**2 + 113*f. Let x(a) = a**3 + 2*a**2 - a. Let l(q) = r(q) + 4*x(q). What is the second derivative of l(h) wrt h? 114*h - 4 Let f(o) be the first derivative of -4*o**7/21 - o**4/6 + 11*o - 6. Let i(z) be the first derivative of f(z). Find the third derivative of i(m) wrt m. -480*m**2 Let n(m) = 5*m**2 + 18*m - 30. Let k(g) = -3*g**2 - 9*g + 15. Let c(u) = 7*k(u) + 4*n(u). Let x be c(6). What is the derivative of -x - 5 - 7*o + 18 wrt o? -7 Let f(g) = 3*g - 2. Let l be f(0). Let z(p) = 77*p**2 - p. Let s(y) = -19*y**2. Let c(n) = l*z(n) - 9*s(n). Find the second derivative of c(d) wrt d. 34 Let v(o) = o**2 - o. Let b(x) = -47*x**2 - 22*x. Let q(z) = -b(z) - 3*v(z). What is the second derivative of q(h) wrt h? 88 Let n(x) = 2*x**2 + 9*x. Let l(v) = 3*v - 10*v + v - 4*v - 2*v**2. Let u(w) = -4*l(w) - 5*n(w). Find the second derivative of u(r) wrt r. -4 Suppose 5*x + 5*b - 15 + 0 = 0, 5*b = -3*x + 9. Find the first derivative of -404*s**3 + s**4 + 17 + 404*s**x wrt s. 4*s**3 Suppose 5*m = 4*r + 2*m - 90, -2*r = -5*m - 52. Find the third derivative of k**2 + r*k**5 - 15*k**2 - 15*k**5 wrt k. 360*k**2 What is the second derivative of 56*p**3 - 187 - 21*p**3 + 63*p + 187 wrt p? 210*p Let s(x) be the third derivative of 11*x**8/42 - x**5/30 + 99*x**2. Find the third derivative of s(r) wrt r. 5280*r**2 What is the second derivative of 3*c**3 - 5*c**4 - 225*c**2 - 50 + 225*c**2 - 3*c**3 - 3*c + 56*c**5 wrt c? 1120*c**3 - 60*c**2 Suppose 47*g + 156 = 50*g. Find the third derivative of g*s**3 - 46*s**2 + 2082*s - 2082*s wrt s. 312 Let v = 185/3 - 123/2. Let m(c) be the third derivative of 0*c + v*c**3 - 9*c**2 + 0*c**4 + 0 + 0*c**5 - 1/20*c**6. Differentiate m(o) with respect to o. -18*o**2 Let r(n) be the second derivative of -n**5/10 + 83*n**4/12 + 481*n**3/6 + 92*n. Find the second derivative of r(i) wrt i. -12*i + 166 Let p(m) be the second derivative of 9*m**2 - 26/15*m**6 + 0*m**3 + 0*m**4 + 0 + 0*m**5 + 5*m. What is the first derivative of p(u) wrt u? -208*u**3 Let k(j) be the second derivative of -6*j**5/5 - 5*j**4/12 + 11*j**2/2 + 214*j - 2. What is the first derivative of k(d) wrt d? -72*d**2 - 10*d Find the second derivative of -76*v**2 + 4 + 33*v**4 - 7*v - 7*v - v - 31*v**4 + v wrt v. 24*v**2 - 152 Let l(k) = -20*k + 19. Let j(p) be the first derivative of 41*p**2/2 - 37*p + 4. Let x(c) = 3*j(c) + 5*l(c). What is the derivative of x(f) wrt f? 23 Let t(j) be the third derivative of -j**6/120 - 13*j**5/20 + 91*j**4/24 - 3*j**2 - 8. Find the second derivative of t(f) wrt f. -6*f - 78 Let i(o) = 102*o + 53. Let p(q) = 102*q + 57. Let b(x) = -2*i(x) + 3*p(x). Find the first derivative of b(v) wrt v. 102 Suppose -4*u + 14 = 6. What is the third derivative of 9*j**4 - 9*j**5 - 9*j**4 + 9*j**u wrt j? -540*j**2 Let s = -9 - -13. Let r(c) = c**2 + 8*c + 4. Let x be r(-8). Differentiate -x*h**2 + 3*h**2 - s - h**2 with respect to h. -4*h Let f(i) = 18*i**3 - 12*i**2 - 58. Let q(w) = 4*w**3 - w**2 + 1. Let p(l) = f(l) - 6*q(l). Differentiate p(r) wrt r. -18*r**2 - 12*r Suppose -5*f = -4*g - 93, -5*f + 4*g = 5*g - 83. Let n = f + -3. Find the second derivative of -13*w**5 + 15*w**2 + n*w - 15*w**2 wrt w. -260*w**3 Let u(a) = 198*a**4 - 109*a**2 + 4*a. Let b(i) = -594*i**4 + 326*i**2 - 14*i - 1. Let s(v) = 2*b(v) + 7*u(v). Find the third derivative of s(l) wrt l. 4752*l Let z(m) be the first derivative of 13*m**6/3 - 3*m**5/5 - 7*m**2/2 - m + 93. Find the second derivative of z(d) wrt d. 520*d**3 - 36*d**2 Let h = 31 + -17. Let o = h - 6. Find the first derivative of 2 - 2*p + o*p + 2*p wrt p. 8 Let t(k) be the first derivative of -5*k + k + 2*k + 5 - 10*k**2 + 6*k. Differentiate t(v) with respect to v. -20 Let v be (12 - 27)/(1 - (-5)/(-4)). Find the first derivative of -5 - v + 27 + 13 - 28*b**4 wrt b. -112*b**3 Let b(g) be the first derivative of g**4/4 - 6*g**2 - 60*g + 81. Differentiate b(h) wrt h. 3*h**2 - 12 Let w(m) be the first derivative of -168*m**4 + 518*m**3/3 + 702. Find the third derivative of w(v) wrt v. -4032 Let l(n) = -10*n**3 - 4*n**2. Let v(d) = d**3. Suppose 9 = 5*r - 36. Suppose 4 = r*k - 10*k. Let i(m) = k*v(m) - l(m). Find the third derivative of i(u) wrt u. 36 Let q(a) = 0 - 5 + 7 + 7*a**2 - 2*a - 13*a**3. Let o(f) = -38*f**3 + 21*f**2 - 7*f + 7. Let j(l) = 2*o(l) - 7*q(l). Find the third derivative of j(x) wrt x. 90 Suppose 0 = 5*o + 4 + 1, -m + 11 = o. Suppose m + 6 = 3*w. Differentiate -2 - 1 - 4 - 3*l**3 + w with respect to l. -9*l**2 Let i(w) be the first derivative of w**6/3 - 26*w**5 - 100*w**2 - 97. Find the second derivative of i(f) wrt f. 40*f**3 - 1560*f**2 Find the third derivative of -6*c**5 - 5*c**5 + 71*c**2 - 27*c**2 - c**3 + 0*c**5 wrt c. -660*c**2 - 6 Let l(h) be the third derivative of 0 + 13/60*h**5 + 8*h**2 - 1/3*h**4 + 0*h + 0*h**3. Find the second derivative of l(r) wrt r. 26 Let t(v) be the first derivative of -134*v**3 - 7*v**2 - v - 473. What is the second derivative of t(q) wrt q? -804 Let f(u) be the second derivative of 0 - 1/4*u**
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 73370 is divided by 9147? 194 What is the remainder when 351 is divided by 168? 15 What is the remainder when 58021901 is divided by 810? 791 What is the remainder when 26227330 is divided by 794767? 19 What is the remainder when 11080 is divided by 818? 446 Calculate the remainder when 6731826 is divided by 4019. 1 What is the remainder when 1844896 is divided by 63616? 32 What is the remainder when 22362682 is divided by 2416? 186 What is the remainder when 4419530 is divided by 950? 130 What is the remainder when 198763645 is divided by 21? 10 What is the remainder when 105361591 is divided by 94? 93 Calculate the remainder when 1270146 is divided by 10411. 4 What is the remainder when 1212428 is divided by 172? 0 Calculate the remainder when 268977 is divided by 38390. 247 Calculate the remainder when 211785 is divided by 750. 285 Calculate the remainder when 2427154 is divided by 15968. 18 What is the remainder when 542477 is divided by 268132? 6213 What is the remainder when 490932 is divided by 465? 357 Calculate the remainder when 54104 is divided by 2677. 564 Calculate the remainder when 37189 is divided by 3069. 361 Calculate the remainder when 725410 is divided by 2386. 66 What is the remainder when 543133 is divided by 188? 1 What is the remainder when 360663 is divided by 120? 63 What is the remainder when 1976 is divided by 1739? 237 Calculate the remainder when 648764 is divided by 81092. 28 What is the remainder when 804894 is divided by 11? 2 Calculate the remainder when 92106469 is divided by 1281. 7 What is the remainder when 730033 is divided by 4534? 59 What is the remainder when 5161561 is divided by 145? 141 Calculate the remainder when 962410 is divided by 9432. 346 Calculate the remainder when 3223671 is divided by 3566. 7 Calculate the remainder when 14671 is divided by 4876. 43 Calculate the remainder when 113136 is divided by 18557. 1794 Calculate the remainder when 59142 is divided by 28100. 2942 Calculate the remainder when 1441608549 is divided by 7272. 7269 What is the remainder when 1124781 is divided by 227? 223 What is the remainder when 45721 is divided by 1143? 1 Calculate the remainder when 794380 is divided by 7355. 40 Calculate the remainder when 1991371 is divided by 165947. 7 What is the remainder when 57631 is divided by 185? 96 What is the remainder when 477916 is divided by 477044? 872 Calculate the remainder when 106692 is divided by 34671. 2679 Calculate the remainder when 20243214 is divided by 400. 14 What is the remainder when 1373015 is divided by 207? 191 Calculate the remainder when 16703 is divided by 8136. 431 What is the remainder when 6828555 is divided by 2276000? 555 Calculate the remainder when 19762629 is divided by 49. 47 What is the remainder when 16657 is divided by 2014? 545 What is the remainder when 234505 is divided by 23448? 25 What is the remainder when 370817 is divided by 11582? 193 What is the remainder when 387953994 is divided by 55? 54 Calculate the remainder when 125510 is divided by 31329. 194 Calculate the remainder when 791175942 is divided by 212. 210 What is the remainder when 373212 is divided by 7611? 273 Calculate the remainder when 89148 is divided by 5033. 3587 Calculate the remainder when 2781038 is divided by 1985. 53 What is the remainder when 307058 is divided by 153416? 226 What is the remainder when 8529231 is divided by 6496? 6479 What is the remainder when 508049565 is divided by 169349846? 27 Calculate the remainder when 236854 is divided by 2520. 2494 Calculate the remainder when 6391337 is divided by 1597831. 13 What is the remainder when 337122 is divided by 28? 2 Calculate the remainder when 106118 is divided by 4827. 4751 Calculate the remainder when 319872 is divided by 9692. 36 Calculate the remainder when 445994 is divided by 148599. 197 Calculate the remainder when 35712 is divided by 35248. 464 What is the remainder when 170749 is divided by 28450? 49 What is the remainder when 77953153 is divided by 493? 486 Calculate the remainder when 1498962 is divided by 43. 25 Calculate the remainder when 16900860 is divided by 295. 15 Calculate the remainder when 306052 is divided by 290. 102 What is the remainder when 109542573 is divided by 427? 420 What is the remainder when 740053 is divided by 82201? 244 What is the remainder when 36618 is divided by 923? 621 Calculate the remainder when 1784191 is divided by 892087. 17 What is the remainder when 7507304 is divided by 598? 12 What is the remainder when 1237686 is divided by 4931? 5 Calculate the remainder when 213864 is divided by 53464. 8 Calculate the remainder when 62106 is divided by 6762. 1248 Calculate the remainder when 2359413 is divided by 1179686. 41 Calculate the remainder when 6341 is divided by 5026. 1315 What is the remainder when 6558537 is divided by 936930? 27 Calculate the remainder when 241956 is divided by 40324. 12 Calculate the remainder when 75712 is divided by 3151. 88 What is the remainder when 1480046 is divided by 921? 920 What is the remainder when 31240231 is divided by 6432? 7 What is the remainder when 3434034 is divided by 145? 144 Calculate the remainder when 47156742 is divided by 548334. 18 Calculate the remainder when 12679451 is divided by 25. 1 What is the remainder when 99709775 is divided by 28? 11 Calculate the remainder when 949155 is divided by 118500. 1155 What is the remainder when 48430409 is divided by 851? 850 What is the remainder when 232650 is divided by 11632? 10 What is the remainder when 203283 is divided by 3773? 3314 Calculate the remainder when 899724 is divided by 2063. 256 Calculate the remainder when 19042 is divided by 2324. 450 Calculate the remainder when 1356762 is divided by 284. 94 What is the remainder when 8101658 is divided by 36168? 26 What is the remainder when 822295 is divided by 438? 169 What is the remainder when 724706 is divided by 362225? 256 Calculate the remainder when 10537308 is divided by 3342. 3324 What is the remainder when 508335 is divided by 514? 503 Calculate the remainder when 578883447 is divided by 143. 142 What is the remainder when 243781 is divided by 242959? 822 Calculate the remainder when 120500 is divided by 410. 370 What is the remainder when 9525175 is divided by 53512? 39 What is the remainder when 21454694 is divided by 4733? 5 What is the remainder when 1345910 is divided by 149531? 131 Calculate the remainder when 572276 is divided by 22010. 16 What is the remainder when 18059 is divided by 3051? 2804 What is the remainder when 15554822 is divided by 1555481? 12 Calculate the remainder when 27853 is divided by 3469. 101 What is the remainder when 21883159 is divided by 75? 34 Calculate the remainder when 8903379 is divided by 28. 23 What is the remainder when 345195 is divided by 8070? 6255 Calculate the remainder when 419072 is divided by 6868. 124 Calculate the remainder when 222620 is divided by 5296. 188 What is the remainder when 11710567 is divided by 101831? 2 Calculate the remainder when 4131395 is divided by 190. 35 Calculate the remainder when 11789 is divided by 11519. 270 Calculate the remainder when 2277398 is divided by 44. 2 What is the remainder when 866581 is divided by 4012? 4001 Calculate the remainder when 649657 is divided by 7661. 6133 Calculate the remainder when 105433242 is divided by 3012378. 12 Calculate the remainder when 87705161 is divided by 23. 20 What is the remainder when 1226361 is divided by 139? 103 What is the remainder when 97463 is divided by 11680? 4023 Calculate the remainder when 635632 is divided by 630. 592 Calculate the remainder when 55614562 is divided by 662078. 10 What is the remainder when 9413243 is divided by 940? 83 What is the remainder when 42878 is divided by 523? 515 What is the remainder when 175645 is divided by 15914? 591 What is the remainder when 31454 is divided by 8825? 4979 Calculate the remainder when 3171002 is divided by 99093. 26 Calculate the remainder when 47513131 is divided by 2989. 2976 Calculate the remainder when 5443230 is divided by 35. 30 What is the remainder when 803691 is divided by 57396? 147 What is the remainder when 44695 is divided by 6381? 28 Calculate the remainder when 10
{ "pile_set_name": "DM Mathematics" }
2 - 2. Suppose b = g - 4*g - 6. Let w be -2*(-3 - (1 + g)). Solve -5*u = 5*z - 20, -12 = -3*u + w*z - 2*z for u. 4 Suppose 0 = 2*d - 10, -p + 2 - 11 = -3*d. Suppose -3*z + 4 = -2. Suppose 0 = -2*j + 4. Solve -2*o - p = 2*t, -3*t + 4*t = -j*o - z for t. -4 Suppose y + 3*y = -4, -4*y = 2*u - 2. Suppose -7*f - 10 = -24. Let d(j) = 2*j + 1. Let q be d(1). Solve u*x = -f*p + p + 17, q*p - x = 11 for p. 5 Let p be (-2)/(-12) - 299/(-78). Solve 0 = -5*x + p*f - 13, -3*f = -x + 2*x + 14 for x. -5 Let z be (-2 - -2) + (-8)/2 + 9. Solve 0*k + 2*t = -k + 6, z*k - 3*t - 17 = 0 for k. 4 Suppose -7*f = -12*f. Solve -3*z + 5*y - 2 - 3 = f, -2*z - 8 = -y for z. -5 Suppose -2*u + 3*s + 2 = 7, 0 = 3*u - s - 10. Solve -2*n = u*y - 3, -2*y = 5*n - 2*n + 1 for n. -1 Let v = -35 - -61. Suppose -2 = 4*g - v. Let t be ((-9)/g)/(6/(-16)). Solve -3 = 3*d - t*s, d + 5*s - 13 = 5 for d. 3 Suppose 5*o = 5*k + 15, -k - 13 = -4*o + 4*k. Let i be ((-18)/8)/(o/(-8)). Let p be 2/(-2 + 24/i). Solve x + 3*t + p = 8*t, -5*x - 5*t = -15 for x. 2 Let b(j) be the third derivative of j**6/120 + j**5/12 + j**4/8 - j**3/2 - j**2. Let r be b(-3). Solve -3*p + f - 8 = 0, 0 = -3*p - f + r*f - 16 for p. -2 Suppose 6 = 4*g - 2*g. Let c be ((-30)/(-9))/5*g. Let k be (-4)/(-6) + 164/6. Solve 5*p + c*j = -k, 3*p - 6*p + j - 8 = 0 for p. -4 Suppose 3*t = 3*c + t + 28, 0 = -c + 5*t - 31. Let h = c - -11. Solve 2*f + 6 = m, -21 = -h*m + 3*f - 2*f for m. 4 Let a be 39/7 + (-4)/7. Solve -j = -4*v - 1, 3*v + 0*v - 12 = a*j for v. -1 Let r be ((-9)/15)/((-6)/120). Let h = r + -10. Solve -3*m - 15 = a, m = 2*a - h - 3 for m. -5 Let i(n) = -22*n - 41. Let q be i(-2). Suppose f - 15 = -2*m, 30 = 2*m + 4*f - 0. Solve -q = r - 4*g, 4*r + 1 = m*g - 0 for r. 1 Let b(q) = q**3 - 7*q**2 + 4. Let o be b(7). Let a be 34/o - (-2)/(-4). Let y = a + -1. Solve 4*z - 3*s - y = 2*z, 4*s = z - 6 for z. 2 Let u = 81 - 79. Solve 19 = u*y - 5*v, 0*v + 4 = -3*y + v for y. -3 Suppose 5*l + 3*g + 2 = 0, -6*g - 18 = -l - 2*g. Let t(h) = -16*h - 7. Let z be t(-2). Solve 0 = 3*f + l*y - z, 6*y - 2*y = 4*f for f. 5 Let l(t) = 8*t**2 - 32*t - 4. Let r(s) = -3*s**2 + 11*s + 1. Let o(h) = -4*l(h) - 11*r(h). Let w be o(-7). Solve 16 = -3*i - b + 2, -w*i - b - 22 = 0 for i. -4 Let x = -3 - -8. Suppose 7 = x*h - 8. Solve 6*f - 4 = h*f - 2*w, 0 = 5*f - 2*w + 20 for f. -2 Suppose -3*r = 2*n - 18 + 1, -r - 2*n + 3 = 0. Let u(x) = x**3 - 8*x**2 + 9*x - 9. Let s be u(r). Solve 3*i = -2*w + i + 6, 15 = 4*w + s*i for w. 0 Let b(j) = -j**2 + 3*j + 6. Let v be b(5). Let s = -1 - v. Let i = 6 + -1. Solve -s*u = -7*u - i*t + 16, 15 = u + 4*t for u. -1 Let u be (-21)/(-5) - (-3)/(-15). Solve 8 = 2*w - u*j - 0*j, 3 = w - j for w. 2 Let p = 10 - 16. Let x be -1*0*3/p. Solve -g + 3*m = x, 0*g = -5*g - m for g. 0 Suppose 93 - 15 = -2*r + 3*n, r = 4*n - 29. Let b = r + 80. Solve -5*o = -2*k + 6*k - b, 2*k = 4*o - 2 for o. 3 Suppose -2*x + 4*x - 16 = -5*d, 19 = 3*x + 5*d. Suppose x*g - 5*q = 6*g - 17, -3*g + 5*q + 7 = 0. Solve -g*a + 7 = n, 0 = -n - n + 6 for a. 1 Let r be 1 + (15 - (0 - 0)). Let z be (-1 + 10)*r/24. Suppose 0 = -z*o + 2*o. Solve -15 + 1 = 4*t + 3*j, -t + j = o for t. -2 Let m(k) = -k**2 - 4*k + 2. Let n be 0*3/6 - 3. Let j = 0 + n. Let t be m(j). Solve -4*q - 24 + 56 = -4*z, 0 = -t*q - z + 10 for q. 3 Let d(j) = j - 5. Let v be ((-40)/(-16))/(1/2). Let p be d(v). Solve -5*k + 31 = 4*c - p*c, 3*k - c = 5 for k. 3 Let z(m) be the second derivative of -2*m**3/3 - 3*m**2/2 + 5*m. Let k be z(-2). Solve 3 + 0 = -4*o + k*x, 4 = -4*x for o. -2 Let x(s) = -s**3 + 11*s**2 - 20*s + 20. Let t be x(9). Solve 4 = 3*v - t*b - 9, -27 = -5*v - 2*b for v. 5 Let r be ((-7)/(-21))/((-2)/30). Let u = r - -24. Solve -5*k - 4*f = -0*f - 5, -u = -2*k - 5*f for k. -3 Let j(b) = b + 11. Let h be j(-7). Solve 1 = 5*p - 2*l - 9, 8 = h*p + l for p. 2 Suppose -14 = 2*k - 18. Solve -k = -2*q - 3*h, 3*h = -3*q - 0*h for q. -2 Let p(r) be the first derivative of r**2/2 - 6*r + 3. Let h be p(10). Solve 0 = g - h*w - 23, -5*g - 4*w = -w for g. 3 Let k(z) = -z**2 - z + 4*z**3 - 2*z**3 + 3*z**2. Let y be k(1). Let d be (-88)/(-40) + (-4)/(-5). Solve -y = -d*r - q, 5*r + q + q = 6 for r. 0 Let v be (-3 - 1)/((-2)/20). Solve 5*l - 5*o + v = 0, 1 = -l - o - 1 for l. -5 Let g = 9 - 5. Suppose 3*w - 21 = -3*o + o, -5*w + 57 = -g*o. Solve -u + 4*b + w = 0, 3*u = b - 4*b + 12 for u. 5 Suppose -5*v = 8 - 33. Solve 5*u = -n - 15, -v*n + 27 = 2 for u. -4 Suppose -2*r + 40 = -5*o + 13, r = 2*o + 11. Let z = 0 - o. Solve -z*f = -4*s - 16, -2*f + 10 = 2*s - 0*f for s. 1 Let k(n) = -2 + 2*n + 0 + 1. Let g be k(-2). Let q = g + 7. Solve -q*p = -2*h - 8, p = -3*h - 3 - 1 for p. 2 Let u = 22 + -11. Let j = 15 - u. Suppose -4*p + 0*p = -12. Solve -p*n = 4*x + j, -8*n = -3*n - 5*x + 30 for n. -4 Let k(d) = -d**3 - 4*d**2 + 5*d + 1. Let j = -3 - 2. Let t be k(j). Suppose v - 3 = t. Solve v*s - 3*f = s - 3, 5*f = -4*s + 5 for s. 0 Suppose -2*y + 2*s + 12 = 3*y, -3*y + 4 = -2*s. Suppose -4*f = f + 70. Let q be (-2)/(-4) - f/4. Solve 4*w + u = -w + 19, -q*w = -2*u - y for w. 3 Let w(d) = -d**3 - 5*d**2 - 6*d - 5. Let r be w(-4). Solve 5*n - 10 = -5*b, -r*n = -2*n - 2*b + 13 for n. -3 Let z = 13 - 18. Let v be 1 - 1 - 25/z. Solve -3*j - 5*p + 0 = -v, -p = -4*j - 24 for j. -5 Suppose -4*w = 3*c - 12, -4*w + 9 = 4*c - 7. Let z be -1 - (-1 - (37 - 1)). Solve w = -3*x - 2*p - 4, x = -4*x + 4*p - z for x. -4 Let v be -2 - 121 - (1 - 2). Let s = -38 - v. Let o = s + -47. Solve 0 = -r - 5*i - 22, -4*i - o = -4*r + i for r. 3 Let v(u) be the third derivative of u**5/60 - u**4/6 + 5*u**3/6 + u**2. Let t be v(4). Solve 3*o = 2*f + 3, -4*f = -t*o + f + 10 for o. -1 Let u be 58/18 - (35/(-45) + 1). Solve -u*n = 3*f - 3, -3*f + 7 + 10 = -4*n for n. -2 Suppose -5*o = -a - 12, 2*a = -0*o - 2*o + 12. Suppose 2*i = -o + 11. Solve 2*g = -0*g - 5*f + 4, 2*f = i*g + 16 for g. -3 Suppose -61 = -5*r - 3*g, 0 = -2*r - 0*r + 2*g + 18. Suppose 4*n + 5 = -r. Let d = n + 8. Solve -d*c = h + 22, c - 2*h - 29 = 6*c for c. -5 Suppose 3*w - a - 4 = a, -6 = 2*w + 3*a. Solve 5*h = -4*v + 6, -3*h + 5*v = -w*h + 26 for h. -2 Let b(x) = -x**2 - 4*x + 3. Let u(s) = -4*s**3 + s**2 - 1. Let r be u(1). Let h be b(r). Suppose h*w = -0*w + 6. Solve 0 = 2*c, l - 2*l + 1 = w*c for l. 1 Suppose 4*z + 8 = -4. Let g be -3*(-2)/z*-2. Let c be (8/(-6))/(g/(-18)). Solve 0 = 3*x - 2*h - 8, -2*x - h + c*h - 2 = 0 for x. 4 Suppose -8 = w + 4*g, -g = 5*w + 4*g + 25. Let m = w + 7. Suppose 4*q - 12 = -4*d, -15 = -m*d - 2*q - 4. Solve -27 + 7 = -5*j - d*u, -4*u = -j - 21 for j. -1 Let y = 22 - 10. Suppose -10*f + 13*f = y. Solve -3*b - f*l = 1, l = -4*b - 3*l for b. 1 Let r(t) = -3*t - 1. Let g be r(-3). Suppose -2*l - g = -4*n, n + 4*n - 9 = 3*l. Let s = -2 - -6. Solve 8 = 2*q - s*i + l*i, -4*q - 3*i = -16 for q. 4 Let d be (-9)/(-3) - (-1 + 0). Suppose p + d = 2*p. Let l = -5 + 17. Solve -4 - 2 = -3*o + 3*t, l = o + p*t for o. 4 Let f(m) = -m**2 + 7*m - 5. Let y = 5 + -7. Let o = y + 7. Let s be f(o). Solve 5*z - s = -5*r, 5*z + 2*r = -0 + 11 for z. 3 Let p = -30 - -42. Suppose 0 = 3*j - 5*j + p. Solve 4*s = 1 - 5, 0 = 3*a + 3*s + j for a. -1 Let u(c) = c**2 + c - 9. Let r be u(3). Solve 0 = r*m + 5*k - 20, 0 = 4*m - 3*k + 9 + 3 for m. 0 Let o be (-3 - -9 - 3) + -6. Let w = -1 - o. Solve 2*p + 5*k - 5 = p, 0 = w*p + k + 8 for p. -5 Let o = -3 + 5. Suppose 4*q - 12 = 0, -o*v - 3*q = -30 - 7. Solve -3*h = n + v - 5, -2*n + 5*h + 4 = 0 for n. -3 Let p be 12/(-18) - 178/(-6). Solve -4*j + 9 = -i, -4*j - i + p = -6*i for j. 1 Let t be 0 + (4 - 3/3). Suppose t*k + 1 - 7 = 0. Solve -3*z = -p - 10, 17 - 3 = -k*p + 3*z for p. -4 Suppose -2*t - o = -t, -3*o - 35 = -4*t. Suppose 6 = -t*a + 16. Let h = 9 - a. Solve 0 = -4*s - 4*c + 6 + 6, 5*s = -c + h for s. 1 Let f = 7 + -4. Let g be (4 + 25/(-10))/(2/4). Solve -q = f, -b = g*b - q - 19 for b. 4 Suppose j - 6*j - 3*a = -22, 17 = 3*j - 2*a. Suppose r + 60 = j*r. Solve 3*q - 1 = 5*d - 16, -3*q = 3*d + r for d. 0 Let w(u) be the third derivative of -u**6/120 + 11*u**5/60 + u**3/3 - 3*u**2. Let l be w(11). Solve 2*b - 3*n - 13 = 0, 5*b - 28 = n + l*n for b. 5 Let g = 2 + 0. Suppose -g*d - 2*t + 22 = 0, 0*d - 15 = -3*d + 3*t. Solve 5*x - 2 = w, 3*x + 2 = -w + d for x. 1 Let y be (-1)/(-3) + 5/3. Suppose y*
{ "pile_set_name": "DM Mathematics" }