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for b. 3 Solve -2*o = b + 6, o - 6 = 87*b - 83*b for b. -2 Solve 2*d + 4*r + 2 = -12, -4*r = -5*d - 7 for d. -3 Solve 3 = 2*w - 5*b + 2*b, 0 = -5*w + 2*b - 9 for w. -3 Solve 2*a + 2*f + 12 = 0, -5*f + 1 - 6 = 0 for a. -5 Solve 4*j - 23*v + 12 = -25*v, 0 = -2*j + 2*v + 6 for j. -1 Solve -w - 3 = r, -3*w - 2*r + 4*r = 9 for w. -3 Solve 0 = 4*g - 5*g - 2*i + 9, -3*g + 2*i = 13 for g. -1 Solve 3*v - 4*v - 3*c + 5 = 0, -v + 9 = 5*c for v. -1 Solve 5*a + 4*y - 8 + 28 = 0, 2*y = 0 for a. -4 Solve 0*g = -4*g - 20, 0 = 5*y - 5*g - 15 for y. -2 Solve -15 = -5*q - 3*u, 0 = 26*q - 23*q + 5*u - 9 for q. 3 Solve -4*y + 5*a + 13 = 0, -13*a = 2*y - 17*a - 8 for y. 2 Solve 4*n + 14 = t, 2*n = 4*n + 6 for t. 2 Solve 0*b + 3*x - 12 = -3*b, -3*x + 4 = b for b. 4 Solve 4*q - 5*x = -2, 16 = -11*q + 15*q + 4*x for q. 2 Solve -4*m = k + 12, -4*k - 12 = 4*m - 7*k for m. -3 Solve -3*u + 4*j - 21 = 0, -5*j - 2 = -4*u - 29 for u. -3 Solve -2*u = 2*u - b - 11, 2*u = 5*b + 1 for u. 3 Solve 4*u = w + 38 - 17, 0 = 4*w - 2*u + 14 for w. -1 Solve w = 3*k - 10 - 5, 3*w = 3*k - 21 for k. 4 Solve 3 = 19*q - 18*q + 3*b, -10*b + 11 = 3*q for q. -3 Solve 4*q + 3*t = 13, t - 38 = -2*q - 31 for q. 4 Solve 4*n = c + 16, -12*n - 20 = -17*n + 5*c for n. 4 Solve 4*k - 5*q + q + 28 = 0, 9 = -2*k + q for k. -2 Solve -2*z - 6 = -4*w, 3*w = 5*z - 16 + 3 for w. 4 Solve -2*i - 3*n = 3 - 2, 0 = 4*i - n + 9 for i. -2 Solve -3*v - 23 = 5*l, -l - 13 = v + 2*l for v. -1 Solve 4*j + 2*c = 6 - 2, -4 = -c for j. -1 Solve -3*j + 8 = 33*u - 28*u, 0 = -2*j - 4*u + 8 for j. -4 Solve -2*k - 15 = 3*j, 3*j = -3*k - 20 + 5 for k. 0 Solve -8 = -0*v + 2*v, 3*v = -4*x - 24 for x. -3 Solve 3*h = -g - 0*g + 6, 0 = h + 3*g - 10 for h. 1 Solve -11*g + 5*d + 2 = -14*g, -4*g - d - 14 = 0 for g. -4 Solve 14 = y - s + 4, 3*y = 2*s + 25 for y. 5 Solve 4*v = o + 3, -2*v + 26 - 29 = -5*o for o. 1 Solve -3*b - u + 7 = 0, b + 0*u = -3*u + 13 for b. 1 Solve 2*y = -2*q - 14, 10 = y - 4*q - 8 for y. -2 Solve -2*j = 3*r - 0 + 2, 0 = -3*r for j. -1 Solve 3*z = 5*d + 11, 15*z - 12*z - 2*d = 8 for z. 2 Solve 5*c - 1 = -x, 8*x - 3*x - 5 = -5*c for x. 1 Solve 5*c + l = 24, 2*c + 5*l = c for c. 5 Solve 0 = m + 3*o - 40 + 36, 4*m + 4 = -2*o for m. -2 Solve -3*w = 2*s - 4, 1 = 2*w - 15*s + 18*s for w. 2 Solve -4*y - 12 = -4*r, 1 - 21 = -5*r for y. 1 Solve -3*c = -c + 3*f + 3, 0 = -5*c - 5*f for c. 3 Solve -5*n - 12 + 0 = 3*g, 5*g = n + 8 for n. -3 Solve 8 = v + 6, -3*a + 13 = 5*v for a. 1 Solve -3*s = 2*h - 5*h + 9, 4 = -3*s + 2*h for s. 2 Solve 6 = 5*f - 3*i - 4, -15 = 2*f - 5*i for f. 5 Solve 4*u + 2 + 3 = 3*q, 2*q - 8 = 5*u for u. -2 Solve p = 0, 4*k - 5*p = 5 + 15 for k. 5 Solve 2*d = -3*w + 17, -3*w - 5*d = -w - 15 for w. 5 Solve -22 = 4*o + 5*b, 0 = -5*o + 2*b - 0*b - 11 for o. -3 Solve t + 46*u = 48*u - 4, 17 = 4*t + 3*u for t. 2 Solve -4*d + 17 = 3*u, 5*u + d - 8 = 9 for u. 3 Solve 9 = 3*g + 4*p, -g - 2*p + 3 = 2*p for g. 3 Solve 5*z - 10 = 4*t, -3*t - 21 = -28*z + 31*z for z. -2 Solve -5*x - d = 15, -11*x - 4*d + 28 = -13*x for x. -4 Solve 11 = -3*y + q, 63*q - 13 = 4*y + 62*q for y. -2 Solve 5*q - 3 = 2*t, -2*t - 1 = -4*q + 3 for q. -1 Solve -5*u = k - 18, -3*k + 20 = -5*k + 4*u for k. -2 Solve 0 = -5*i + 4*i, -u - 4*i = -6 for u. 6 Solve 3*z = -2*t - z - 2, -3*z = -t - 6 for t. -3 Solve -3*d - 17 = 2*d - 3*p, 0 = -3*d - 5*p - 17 for d. -4 Solve 3*n + v - 1 = 0, 0*v + 3*v - 3 = n for n. 0 Solve a + 9 = 5*p, -2*p + 4*a - 3*a + 6 = 0 for p. 1 Solve -s + 2*w = -3, 11*w + 3 = -3*s + 14*w for s. -5 Solve 4*f + 5*d + 27 - 35 = 0, -2*d = -5*f + 10 for f. 2 Solve 3*z - 5*f + 17 + 23 = 0, -f = -4*z - 25 for z. -5 Solve 2*s + 13 = -l, -s = 4*l - 7*l - 4 for s. -5 Solve 3*l + 14*b - 15*b = 3, 4*l = 2*b + 4 for l. 1 Solve 4*n - 3*f + 6 = 0, 6*n = 9*n - 3*f + 3 for n. -3 Solve -13 - 1 = 3*o - w, 5*o = -3*w for o. -3 Solve 4*h - n + 1 = 0, h - 2*h = 4*n + 13 for h. -1 Solve 0 = 4*v - a - 3, 108*v = 111*v + 4*a + 12 for v. 0 Solve 0 = 3*g + 4*x - 8, -7*g + 8*g - 5 = x for g. 4 Solve -2 = -2*z + 2*u - 0*u, -2*u - 1 = -3*z for z. -1 Solve 2*o - 11 = -3*x, 7*x = -6*o + 5*o for o. 7 Solve 3*n - 14 = -29, -4*b - 5*n = 45 for b. -5 Solve 2*z - 57 = -55, 5*z = 3*w + 14 for w. -3 Solve -5*v - 4 = j, 16*j - 12*j - 1 = -3*v for j. 1 Solve q + 8*u - 10*u - 1 = 0, 0 = 4*q + 3*u + 7 for q. -1 Solve 4*k - 7*t = -11*t - 20, -3*t - 5 = k for k. -5 Solve -19 - 4 = 5*n + 3*s, n - 2*s = -2 for n. -4 Solve 5*k + 15*p - 24 = 14*p, 5*k + 2*p - 23 = 0 for k. 5 Solve 0*v - 15 = 5*i + 5*v, 7 = -3*i - 4*v for i. -5 Solve 3*j = -5*z - 2*j + 15, 4*z - 12 = j for z. 3 Solve -6*c + 2*u = -3*c + 5, -5*u = c + 13 for c. -3 Solve f = 4*r - 17, r = -2*r - f + 11 for r. 4 Solve 412*w - 5 = 417*w, 0 = -z - 4*w - 1 for z. 3 Solve p = 2*p + 2, 18 = -4*v - 5*p for v. -2 Solve -4*b + 71 = 4*s + 63, -b = 1 for s. 3 Solve 5*r = -s + 6*s - 10, 2*s = 3*r + 6 for r. -2 Solve 2*j + 2*p = 10, -3*j - 25 = -5*j - 5*p for j. 0 Solve 83*k - 5*q = 82*k - 2, 0 = 3*k - 5*q - 4 for k. 3 Solve 16 = -4*r - 5*v, 0 = -4*r + 4*v + 15 + 5 for r. 1 Solve 0 = 3*n - 5*r + 7 + 1, -2*n + 16 = 2*r for n. 4 Solve 2*x + 3 = w, 3*w = 16*x - 17*x + 9 for w. 3 Solve -4*c + 14 + 10 = 4*x, -9 = -2*c - x for c. 3 Solve 0 = 5*p + 5*d, -5*p + 3*p = -d + 15 for p. -5 Solve -2*z = 11*s - 10*s + 15, 0 = -2*z + 4*s + 10 for z. -5 Solve -5*m + 24 = -2*t - 4, -3*t - m - 8 = 0 for t. -4 Solve 13 = 3*w - 8*r + 4*r, 0 = 2*w + r - 5 for w. 3 Solve 0 = x + 3*a, 0 = -7*x + 10*x - 3*a - 12 for x. 3 Solve -4*c = 20, 2*p - 7*p + 2*c + 35 = 0 for p. 5 Solve -5*d = -w - 53, -32 = 4*w + 532*d - 534*d for w. -3 Solve 2*a - 12 = -4*f + 14, 5*a = f + 10 for a. 3 Solve r = 4*k, -8*k + 2*r = -7*k - 14 for k. -2 Solve -2*v + 6*n = 4*n - 14, -2*n + 4 = 4*v for v. 3 Solve 2*h + 4*w - 18 = 0, 4*h + 4 = 4*w - 2*w for h. 1 Solve 0 = l + 2, -7*l + 2*l = 4*v - 10 for v. 5 Solve 5 = -4*q - 5*v - 10, 0 = 4*q - 4*v + 24 for q. -5 Solve -16*d - 2*s + 15 = -11*d, 4*d = -s + 9 for d. 1 Solve -2 - 8 = -4*l - s, 2*l - 3*s = -2 for l. 2 Solve a + 15 = 5*o - 5, -o = a - 4 for o. 4 Solve -5*l + 18 = 13, 0 = 4*r - 5*l + 5 for r. 0 Solve -j = 1, 2*b = b + j - 2 for b. -3 Solve 5*q + 7 = x + 3*x, 0 = -2*q - x - 8 for q. -3 Solve 3*j = -2*j - 4*b - 20, -5*j - b - 20 = 0 for j. -4 Solve 3*w - 2*z = 7*w + 12, 2*w = -4*z - 18 for w. -1 Solve 0 = -a - d, -2*a = -3*d - 9 - 6 for a. 3 Solve g - 2 = -d + 5*g, g = d + 1 for d. -2 Solve -4*u = -d + 2 - 1, -4 = -4*d + 3*u for d. 1 Solve 9*z - 13*z + 12 = d, 6 = 2*d + 2*z for d. 0 Solve 0 = 3*n + l - 27 + 36, -4*n - 3*l - 12 = 0 for n. -3 Solve -5*h - l + 10 = 0, -13 = -0*h - h + 2*l for h. 3 Solve 2*j + 3*j + 10 = 0, 4*h - j + 10 = 0 for h. -3 Solve 2*v + z - 7 = 6*v, 11 = -3*v - 5*z for v. -2 Solve 0 = -2*q + 5*l - 30, 4*l = 3*q + 2*q + 41 for q. -5 Solve -4*z - g = 4*g - 13, 3*g - 24 = 3*z for z. -3 Solve l = u + 3*l + 3, u - 4 = 5*l for u. -1 Solve 0 = -5*u + 7*u + 5*l - 15, 5*u - 4*l = -12 for u. 0 Solve -3*w = -12, 2*w = -2*v + 3*w for v. 2 Solve 3*x + 2*q = -15, 5*x + 41 = -3*q + 17 for x. -3 Solve -2*m - 3*i + 14 = 0, -3*i + i = -3*m + 8 for m. 4 Solve -5*w = -2*y - 4, 2*w = -w + 2*y for w. 2 Solve -2*z - 4 = x, -4*z = 4*x - 0*z + 12 for x. -2 Solve -h - 5*w + 86 = 72, -4*h - w = 1 for h. -1 Solve -3*l - 2*l = -2*w - 18, 4*l - 14 = 2*w for l. 4 Solve 0*i + i - 23 = -5*h, i - 4*h = -22 for i. -2 Solve 2*v + 15 = 5*v + o, -5*v + 4*o = -25 for v. 5 Solve -l + 2*d + 8 = 3*d, 3*l + 2*d - 21 = 0 for l. 5 Solve n = -2*k + 5*n - 2, -8 = -5*k - 3*n for k. 1 Solve 4*d - 4*p = p - 31, 21 = -3*d + 3*p for d. -4 Solve 2 = 2*v, 4*l + 2*v - 8 = -2*v for l. 1 Solve 11 = -n + 5*r, 2*r + 3 = 3*r for n. 4 Solve -5*j - 40 = -5*f, -59*j = -62*j + 4*f - 28 for j. -4 Solve -2*m + 13 = 11*f - 14*f, 2*f = -4*m - 14 for f. -5 Solve 2*y - 4*l - 18 = 0, -3*y - y - 5*l = -10 for y. 5 Solve 0 = -5*j + 5*y + 15, -j - 4*j + 19 = -y for j. 4 Solve 0 = -h - 4*a - 4, 4*h - 11*a - 1 = -10*a for h. 0 Solve 0 = 4*n + o - 13, 3*n = -2*n + 5*o - 15 for n. 2 Solve -2*o - k - 2 = 3, -5*o + k - 9 = 0 for o. -2 Solve -4*b = -3*c - 2, -7 + 13 = 3*c for b. 2 Solve -23*k + 32 = 3*i - 27*k, 0 = 3*i - 3*k - 27 for i. 4 Solve 0 = -4*r - k - 2, -7*r + 3*r - 26 = -3*k for r. -2 Solve 42*q - 37*q + 10 = -3*y, 4*y - 2*q - 30 = 0 for y. 5 Solve -3*f + 7 + 0 = -2*c
{ "pile_set_name": "DM Mathematics" }
ppose -29*q + 959573 - 371233 = -682498. What is the tens digit of q? 2 Suppose z - 2*a - 1 = 0, -6*z + 4*a = -2*z. Let i be (-3)/((-1 - 10/(-8)) + z). What is the tens digit of (i/(-1))/2 + 177 + 2? 7 Suppose -1211 = -2*v + 9. What is the units digit of 0*(4 + (-42)/12) + v? 0 Let h = -12173 - -17207. Suppose -5*u = -11*u + h. What is the units digit of u? 9 Let k(d) = 38*d**2 + 61*d - 75. What is the units digit of k(8)? 5 Let c be -25*(-12)/10*-1. Let l(y) = y**3 + 31*y**2 + 5*y + 44. What is the tens digit of l(c)? 9 Suppose 6*b = -3*u + 5*b - 1150, -5*u - 2*b - 1917 = 0. Let k = u + 931. What is the units digit of k? 8 Suppose -2*j = 3*j + 5*o - 22080, 0 = -5*j + o + 22026. What is the thousands digit of j? 4 Suppose 139*m = 140*m - 6. Let i be 15/21*(1 + m). Suppose 3*j - i*p - 1 - 110 = 0, 0 = -3*j + p + 99. What is the units digit of j? 2 Let t be (((-63)/(-6))/7)/((-12)/(-16)). Let u be (1 + 0)*(-2 + t). Suppose 10*n - 12*n + 422 = u. What is the tens digit of n? 1 Let q(z) be the second derivative of -23*z**3/6 - 131*z**2/2 + 14*z + 2. What is the tens digit of q(-8)? 5 Let q(o) be the second derivative of 41*o**6/180 - o**5/120 - 8*o**3/3 - 2*o. Let d(j) be the second derivative of q(j). What is the tens digit of d(-1)? 8 Suppose -j + 7319 + 2059 = 0. Suppose -6*x - 3*x + j = 0. What is the thousands digit of x? 1 Suppose 0 = -3*n - 9, -2*g + 8 + 4 = -2*n. Let z be 8/g*15/10. Suppose -399 = -4*h + 5*a, -5*a + a = z*h - 444. What is the tens digit of h? 0 Let z(k) = 535*k**2 - 75*k + 8. What is the hundreds digit of z(-5)? 7 Let a be 2/(-5) - (-2270)/50. Suppose -41*t - 112 = -a*t. Suppose -29*f = -t*f - 4. What is the units digit of f? 4 Let m(s) = s**2 + 7*s - 7. Let j be (-5)/(55/1087) + (-4)/22. Let h = j - -88. What is the units digit of m(h)? 7 Suppose -76 = -3*x - 4*y, 2*x = 5*x - 5*y - 94. Let w be ((-26 + 5)/7)/(6/x). Let d = 132 + w. What is the tens digit of d? 1 Suppose 17678 = -97*q + 100*q - r, -r = 4*q - 23559. What is the hundreds digit of q? 8 Suppose -5*f = -5*d + 3745, 4*f = 3*d - 2*d - 749. Let q = d + -190. What is the units digit of q? 9 Suppose -66764 = -15*t + 85696. What is the ten thousands digit of t? 1 Suppose 196*b - 12294 = 100*b + 87*b. What is the tens digit of b? 6 Suppose -4*q - 3*m = -102, 11*q + 4*m = 13*q - 40. What is the hundreds digit of 3842/4 + q/48? 9 Suppose -5*c = -249941 - 76154. What is the tens digit of c? 1 Suppose -3*g + 27 = 6*g. Suppose -3*q + 2*q + 4*p + 459 = 0, g*q + 2*p = 1335. What is the hundreds digit of q? 4 Let j(y) = -2152*y**3 + y**2 + 4*y - 2. What is the ten thousands digit of j(-2)? 1 Suppose 0 = 521*b - 517*b - 8088. What is the hundreds digit of b? 0 Suppose -2*b + 30 = -4*g, 2*b - 15 = -3*b - 2*g. Suppose -b*r + 0*r = -20. Suppose 0*m - 76 = -3*x + m, -4*x + 112 = -r*m. What is the tens digit of x? 2 Suppose -4*p - p + 10 = 0. Suppose p*n = k - 384, -2*k = -4*k + 3*n + 765. What is the units digit of k? 8 Let p(v) = -5*v**3 - 6*v**2 - 2*v - 16. Let g(q) = 12*q**3 + 12*q**2 + 3*q + 31. Let a(h) = -2*g(h) - 5*p(h). What is the units digit of a(7)? 3 What is the units digit of (-19)/(342/(-12))*2263221/18? 3 Suppose 6*j - 65905 = -8113. What is the thousands digit of j? 9 Let n(q) = 2825*q**2 - 23*q + 22. What is the thousands digit of n(1)? 2 Let v(r) = -35*r - 26. Let j be v(-9). Suppose j = s + 102. What is the units digit of s? 7 Let x be (-5 + 2)/((-3)/153). Let d = x - 174. Let q(g) = -4*g + 46. What is the units digit of q(d)? 0 Suppose r = -4*r + 26*r - 398055. What is the hundreds digit of r? 9 Let u(p) = 2*p**2 - 51*p - 76. Let d be u(27). Suppose -d*z + 54 - 1659 = -4*v, -3*z + 9 = 0. What is the hundreds digit of v? 4 Suppose -5*i + i = -8. Let l = 2102 + -2110. What is the units digit of (-1)/i - -2*(-214)/l? 3 Let b = 24112 - -13296. What is the hundreds digit of b? 4 Let i(b) = b**3 + 31*b**2 + 22*b + 435. What is the units digit of i(-29)? 9 Let q = 273 - 381. Let a = 611 + q. What is the tens digit of a? 0 Suppose 2886912 = -137*n + 14668501. What is the thousands digit of n? 5 Let v(n) = 3*n + 7. Let b be v(-3). What is the tens digit of 159 + (15/25)/(b/(-10))? 6 Let n(h) = 87*h**2 - 407*h - 236. What is the tens digit of n(23)? 2 Let j(d) = d**3 - 6*d**2 - 7*d + 1. Let t be 1*-2*(-28)/8. Let q be j(t). What is the units digit of q + -49*(-2 + 1)? 0 Let s = -115 - -118. Suppose -3*q - 1 = -l + 2, 0 = -5*q + s*l - 1. What is the tens digit of (-624)/(-3) - (q - -5)? 0 Suppose 2*p + 485 = -3*o, -12*p + 10*p + o = 481. Let b = 1 - p. What is the tens digit of b? 4 Suppose z + 194 = 2*z - f, 3*z - 577 = 4*f. Suppose -4*p + 1659 = z. What is the units digit of p? 5 Let y be (-23 - -7)/4*(-78)/8. Let f = y + -11. Let d = f - -33. What is the units digit of d? 1 Let w = -2562 + 8654. What is the units digit of w? 2 Suppose 3*u + 46*u = 13*u + 217728. What is the hundreds digit of u? 0 What is the ten thousands digit of (-753 - -768) + 11*3624? 3 Let t(y) = y**2 + 2*y - 1. Suppose -3*h - f + 46 = -7, 2*f = 10. Let g be (-3 + h/6)*21. What is the units digit of t(g)? 4 Let x(n) = -488*n - 5377. What is the units digit of x(-142)? 9 Let m = 19 + 5. Suppose 0 = -z + 6 - m. Let c(n) = -n**2 - 21*n - 12. What is the units digit of c(z)? 2 Let f(d) = 63*d**2 - 53*d + 31. What is the thousands digit of f(-5)? 1 Let o(z) = 8*z**2 - 30*z + 25. Let v be o(11). Suppose 3*i - 3*u - v = 0, 4*i + 3*u + u - 860 = 0. What is the tens digit of i? 1 Suppose 516 = 44*o - o. Suppose -7*p + x = -o*p + 4950, -x + 1977 = 2*p. What is the units digit of p? 1 Suppose -15*g + 20*g - 200 = 0. Let k be 10 + (2/(-8) - 70/g). Let d = k + 83. What is the tens digit of d? 9 Let l be (-2 + 0 - 0) + -42. Let b = l - -44. Suppose -5*s + 5*r - 5 + b = 0, -4*s - r = -6. What is the units digit of s? 1 Let x(o) = -o**3 - 9*o**2 - 14*o - 16. Let c(d) = 2*d - 28. Let f be c(8). What is the tens digit of x(f)? 8 Let q(o) = 44*o - 16. Let n be q(5). Let z be (-4)/10 - n/(-60). Suppose 116 = 3*g - 5*u - 0*u, 0 = -3*g - z*u + 132. What is the units digit of g? 2 Let p(t) = 7*t**2 + 13*t - 34. Suppose 2*l + 6 = -2*m + 22, 4*l = -5*m + 36. Let g be (m - 4 - -6) + -1. What is the units digit of p(g)? 6 Let b(d) = 5523*d**2 - 30*d + 2. What is the tens digit of b(3)? 1 Let o be (4 + 0)*(9/6 + 3). Suppose -o*l = -10516 - 392. What is the tens digit of l? 0 Let x = -35230 + 62960. What is the ten thousands digit of x? 2 Suppose -2*o = -2*j - 16620 - 2196, 4*j - 18834 = -2*o. What is the units digit of o? 1 Suppose -4*b + 12 = 0, 2*b - 10 = 4*w + 148. Suppose 0 = l + 3, -z - z + 2*l = 28. Let p = z - w. What is the units digit of p? 1 What is the ten thousands digit of 3 + 1 + (-26 + 6)/(3/(-1875))? 1 Suppose -2*h - 4 = 2*o, h - 2*o - 16 = -3*h. Let w(j) = 0*j**h + j**2 - 24 + 0 + 0 + 21*j. What is the tens digit of w(-26)? 0 Let y(r) = 2*r**2 + 7*r - 11. Let o(d) = -4*d**2 - 14*d + 23. Let p(i) = 4*o(i) + 10*y(i). What is the hundreds digit of p(-9)? 1 Let z(f) = -12*f - 268. Let x be z(-21). Let s = 30 + -888. What is the tens digit of s/x + (-15)/(-40)? 5 Let g = 451 - -3325. What is the tens digit of g? 7 Suppose 0 = -12*k + 2*k + 240. Suppose -5*u - 19 + k = 0. What is the units digit of (2 + 65)*(-3 - -4)*u? 7 Let x = -26 + 38. Let k be (-4)/((-12)/(-9))*(-20)/x. Suppose k*n - 51 = 304. What is the tens digit of n? 7 Suppose -31*s - 7266 = -10*s. Let m = 534 + s. What is the units digit of m? 8 Let y(a) = 286*a**2 - 97*a + 838. What is the ten thousands digit of y(9)? 2 Suppose -3*n - v + 444 = 0, 5*n - 2*v - 751 = -0*v. What is the tens digit of n? 4 Suppose 7*d = -17 - 2510. Let i = -254 - d. What is the units digit of ((-20)/(-4) + -3)*i/2? 7 Let k(t) = 2*t**2 - t + 425. What is the thousands digit of k(-57)? 6 Suppose 3*h + 1 = -4*r, 4*h + r - 21 = -h. Suppose 0*d = 5*p + d - 55, 0 = -h*p - 4*d + 55. Suppose -p*w + 7*w = -288. What is the units digit of w? 2 Let t(f) = f**3 - 21*f**2 - 47*f - 1. Let k be t(24). Suppose -3*b + 2366 = k. What is the tens digit of b? 8 Let q(h) = 16*h**2 + 883*h - 56. What is the hundreds digit of q(-81)? 3 Let l = 352 + 288. Suppose 12*z = -l + 1720. What is the tens digit of z? 9 Suppose 0 = 2*c + d, -4*d - 13 = 5*c - 8*d. Let f be c - (-316)/(-2) - -1. What is
{ "pile_set_name": "DM Mathematics" }
472 a multiple of 4? True Is 12735 a multiple of 134? False Is 546 a multiple of 74? False Is 2 a factor of 21224? True Is 52020 a multiple of 20? True Is 75 a factor of 12075? True Is 390 a factor of 38610? True Is 12 a factor of 474? False Is 677 a multiple of 20? False Is 59 a factor of 9799? False Does 39 divide 203? False Is 660 a multiple of 55? True Does 5 divide 15360? True Does 9 divide 9074? False Is 126 a factor of 14558? False Is 9 a factor of 18895? False Is 5 a factor of 140? True Is 1100 a multiple of 11? True Does 30 divide 1530? True Is 150 a factor of 24900? True Is 15 a factor of 435? True Is 3570 a multiple of 14? True Is 36251 a multiple of 38? False Does 5 divide 6850? True Is 39 a factor of 1053? True Is 28631 a multiple of 42? False Is 657 a multiple of 3? True Is 53 a factor of 3763? True Does 107 divide 2746? False Does 17 divide 12114? False Does 13 divide 621? False Does 30 divide 630? True Is 22 a factor of 376? False Is 11 a factor of 788? False Does 21 divide 142? False Is 13440 a multiple of 60? True Is 15 a factor of 300? True Is 12 a factor of 1312? False Does 20 divide 18860? True Is 21 a factor of 5061? True Is 28 a factor of 18340? True Is 49197 a multiple of 23? True Does 12 divide 708? True Is 70 a factor of 13253? False Is 2423 a multiple of 6? False Does 84 divide 5040? True Is 10332 a multiple of 41? True Does 27 divide 2025? True Is 9 a factor of 13760? False Does 10 divide 35840? True Is 7 a factor of 25389? True Is 19 a factor of 2603? True Does 92 divide 21068? True Is 35 a factor of 1365? True Does 86 divide 13522? False Does 15 divide 2700? True Does 19 divide 2033? True Does 8 divide 316? False Is 56 a multiple of 7? True Does 8 divide 125? False Is 346 a multiple of 31? False Does 13 divide 1131? True Is 12528 a multiple of 18? True Does 11 divide 2827? True Does 91 divide 6721? False Does 14 divide 17934? True Does 229 divide 13282? True Does 18 divide 5364? True Is 80 a factor of 3680? True Is 13756 a multiple of 76? True Does 54 divide 517? False Does 5 divide 124? False Is 21 a factor of 86? False Is 21678 a multiple of 47? False Does 227 divide 48504? False Is 2265 a multiple of 5? True Is 21948 a multiple of 93? True Is 2242 a multiple of 118? True Does 5 divide 929? False Is 32 a multiple of 32? True Does 13 divide 21684? True Does 5 divide 74? False Is 1084 a multiple of 255? False Does 35 divide 805? True Does 51 divide 9690? True Is 2047 a multiple of 8? False Does 18 divide 9774? True Is 11 a factor of 3190? True Is 294 a multiple of 49? True Is 93 a factor of 60297? False Is 4 a factor of 318? False Is 86 a factor of 1720? True Does 30 divide 150? True Does 28 divide 13804? True Does 8 divide 1024? True Does 125 divide 6098? False Is 1516 a multiple of 45? False Is 18 a factor of 49001? False Does 26 divide 468? True Is 56425 a multiple of 37? True Is 36 a factor of 1872? True Does 186 divide 20088? True Is 53 a factor of 44361? True Is 36 a factor of 3600? True Is 118 a factor of 1534? True Is 8925 a multiple of 21? True Is 9702 a multiple of 42? True Is 13 a factor of 428? False Does 4 divide 11956? True Is 75 a factor of 1213? False Is 45749 a multiple of 11? True Is 13 a factor of 351? True Is 6043 a multiple of 35? False Is 30 a factor of 32956? False Is 2 a factor of 30? True Is 2625 a multiple of 75? True Is 456 a multiple of 19? True Is 27 a factor of 5562? True Does 45 divide 135? True Is 88 a factor of 10472? True Is 124950 a multiple of 34? True Is 5 a factor of 138? False Is 94 a factor of 9753? False Is 541 a multiple of 47? False Is 38 a factor of 122588? True Is 11 a factor of 148? False Is 27 a factor of 1269? True Is 2205 a multiple of 45? True Does 40 divide 560? True Is 462 a multiple of 22? True Is 72 a multiple of 13? False Does 64 divide 704? True Does 17 divide 1507? False Is 4529 a multiple of 16? False Is 415 a multiple of 25? False Is 9 a factor of 735? False Is 21 a factor of 825? False Is 17100 a multiple of 45? True Is 75 a multiple of 25? True Does 56 divide 200? False Is 120 a multiple of 5? True Does 18 divide 472? False Does 8 divide 242? False Is 19 a factor of 190? True Is 12493 a multiple of 122? False Is 4951 a multiple of 120? False Is 33 a factor of 3135? True Does 44 divide 3564? True Is 40 a factor of 160? True Is 101871 a multiple of 11? True Is 23256 a multiple of 323? True Is 9585 a multiple of 15? True Does 3 divide 996? True Is 65 a factor of 2596? False Is 3942 a multiple of 33? False Is 796 a multiple of 13? False Is 28 a factor of 438? False Is 52 a factor of 416? True Does 10 divide 25875? False Is 16 a factor of 45503? False Does 34 divide 158? False Is 829 a multiple of 4? False Does 6 divide 1994? False Is 1320 a multiple of 55? True Is 5 a factor of 1595? True Does 6 divide 584? False Is 14 a factor of 469? False Is 2580 a multiple of 5? True Is 639 a multiple of 44? False Is 12 a factor of 3048? True Is 1890 a multiple of 35? True Does 8 divide 8582? False Does 9 divide 92? False Does 46 divide 874? True Is 2273 a multiple of 12? False Is 24 a factor of 3744? True Does 14 divide 20617? False Does 20 divide 20? True Is 836 a multiple of 44? True Is 28 a factor of 980? True Is 108 a multiple of 4? True Is 41 a factor of 8153? False Does 8 divide 368? True Is 35 a factor of 21758? False Does 122 divide 54656? True Does 38 divide 5966? True Is 11 a factor of 84? False Does 9 divide 831? False Is 13566 a multiple of 140? False Is 3447 a multiple of 27? False Does 41 divide 3608? True Is 37 a factor of 1702? True Is 153 a factor of 31671? True Is 168 a factor of 41328? True Is 7 a factor of 247? False Does 13 divide 5837? True Is 240 a multiple of 8? True Is 12 a factor of 276? True Is 98 a factor of 44680? False Is 2720 a multiple of 5? True Is 368 a multiple of 46? True Does 31 divide 1302? True Is 38 a factor of 10204? False Does 27 divide 378? True Is 6156 a multiple of 81? True Is 19 a factor of 812? False Is 10252 a multiple of 116? False Is 36 a factor of 4938? False Is 26 a factor of 47402? False Is 146 a factor of 2044? True Does 40 divide 2880? True Is 82 a multiple of 7? False Is 98 a multiple of 5? False Does 2 divide 288? True Does 21 divide 4344? False Is 12 a factor of 1248? True Is 4 a factor of 5201? False Is 5 a factor of 1208? False Does 50 divide 4900? True Does 4 divide 299? False Is 8002 a multiple of 20? False Is 10 a factor of 840? True Is 21 a factor of 35994? True Is 16160 a multiple of 101? True Is 51058 a multiple of 47? False Is 2828 a multiple of 28? True Is 13 a factor of 1864? False Does 3 divide 495? True Is 31 a factor of 1767? True Is 80 a factor of 4320? True Does 48 divide 3360? True Is 3432 a multiple of 78? True Does 19 divide 893? True Is 2893 a multiple of 35? False Is 882 a multiple of 14? True Is 3969 a multiple of 49? True Is 14101 a multiple of 171? False Is 58 a factor of 986? True Is 632 a multiple of 14? False Is 10 a factor of 1477? False Is 3584 a multiple of 16? True Is 1110 a multiple of 104? False Does 4 divide 297? False Is 67 a factor of 5092? True Is 3073 a multiple of 16? False Is 17181 a multiple of 249? True Does 26 divide 3224? True Is 43 a factor of 43129? True Is 3 a factor of 616? False Does 169 divide 59426? False Does 61 divide 2562? True Is 370 a multiple of 26? False Is 1836 a multiple of 4? True Is 11 a factor of 5412? True Is 12022 a multiple of 34? False Is 15 a factor of 1238? False Is 809 a multiple of 9? False Is 9 a factor of 10090? False Does 7 divide 111? False Is 3414 a multiple of 6? True Is 9 a factor of 1224? True Does 16 divide 20? False Is 14 a factor of 378? True Does 28 divide 115? False Does 117 divide 11232? True Does 36 divide 30924? True Is 512 a multiple of 16? True Is 18 a factor of 3258? True Is 246 a multiple of 6? True Is 3 a factor of 56? False Is 572 a multiple of 22? True Does 137 divide 7535? True Is 1128 a multiple of 8? True Is 17 a factor of 289? True Does 4 divide 553? False Is 1817 a multiple of 22? False Is 751 a multiple of 13? False Is 336 a multiple of 64? False Does 123 divide 2583? True Is 111 a factor of 23310? True Is 27 a factor of 972? True Does 128 divide 3210? False Is 13 a factor of 75895? False Is 29 a factor of 524
{ "pile_set_name": "DM Mathematics" }
x(k) = 2*k**2 + 49*k + 25. What are the prime factors of x(-34)? 11, 61 Suppose 5*o = 7*o - 178. What are the prime factors of o? 89 Suppose -4268 = -3*k - k - 4*y, -5*k + 2*y + 5314 = 0. What are the prime factors of k? 2, 7, 19 Suppose c + r - 1851 = 0, c - 4*r - 2889 + 1018 = 0. What are the prime factors of c? 5, 7, 53 Suppose 0 = 3*l + 3*m - 1305, -2*l + 3*m + 236 = -619. What are the prime factors of l? 2, 3 What are the prime factors of 3*201*74/111? 2, 3, 67 Suppose -4*k = 4*z + 24, -z + 0*z - 16 = 3*k. Let j be (-15 - -11)*(0 - z). Let b = j + 12. What are the prime factors of b? 2 Suppose 18 = 5*t - r, 2*r = t + t - 12. Suppose -4*n + 72 = t*d, 0 = 2*d + 2*d - n - 96. What are the prime factors of d? 2, 3 Let x = 787 + -242. Suppose 5*w - h - x = -0*h, 2*w - 4*h - 218 = 0. List the prime factors of w. 109 Let i = -49 + 52. Suppose -3*z + 0*p + 275 = -p, 0 = i*z + p - 265. List the prime factors of z. 2, 3, 5 Suppose -12*b = o - 10*b - 2831, 9*o - 25466 = -5*b. List the prime factors of o. 3, 23, 41 Let o = 17 + -1. Let n = o - -5. List the prime factors of n. 3, 7 Suppose -5*i + 4*z = z - 325, 4*z + 260 = 4*i. Suppose m + 5*b = 4*m - i, -2*m + 4*b = -42. What are the prime factors of m? 5 Let r(f) = f**2 - 2*f - 68. What are the prime factors of r(-11)? 3, 5 Let l(a) = 5*a - 27. Let f be l(13). Suppose 5*z = -y + 512, z + 2*y - 135 = -f. List the prime factors of z. 103 Let s(u) = 4*u**2 - 19*u - 12. List the prime factors of s(13). 3, 139 Let p(c) = c**3 + 6*c + 3230. List the prime factors of p(0). 2, 5, 17, 19 Suppose -22203 = 71*o - 80*o. List the prime factors of o. 2467 Let v(p) = p - 1. Let d(r) = 3*r - 12. Let w(a) = d(a) - 5*v(a). Suppose 3*o = 4*n - 40, -5*n + 30 = -3*o - 14. List the prime factors of w(o). 3 Let y = -25 - -32. List the prime factors of 3/9*(y + 272). 3, 31 Suppose 2*y = 3*r + 43, -4*r - 62 = -3*y - 2*y. Let h = r - -24. Suppose -h*c + 420 = -5*c. List the prime factors of c. 2, 5, 7 Let n(i) be the second derivative of i**5/20 - i**4 - i**3/6 + 29*i**2/2 - 11*i. List the prime factors of n(12). 17 Suppose 7*k = 109 + 3. Suppose 2*w - 74 = -h, 1 = 5*w + k. List the prime factors of h. 2, 5 Suppose 20*m = 15*m + 60. Suppose 14*d + m = 16*d. What are the prime factors of d? 2, 3 Let g be 3 + (22*16)/4. What are the prime factors of 1207/13 - (-14)/g? 3, 31 Suppose 0 = -5*q + 908 + 1612. What are the prime factors of q? 2, 3, 7 Let z be 3/((-1)/((-2)/3)). Suppose j + 4*k - 8 = 0, z*k - k = 2*j - 25. List the prime factors of (-12 - 3)*j/(-9). 2, 5 Let y(d) = 22*d - 86. What are the prime factors of y(24)? 2, 13, 17 Suppose q = -0 + 5, v + 25 = 5*q. Suppose 3*g - 7*g + 4*b + 36 = v, g + b - 13 = 0. Suppose -2*y + 49 = -g. List the prime factors of y. 2, 3, 5 Let r be (1/(6/(-15)) + 1)*60. What are the prime factors of -1 - r - (4 + 1 + -4)? 2, 11 Let m(l) = -2*l**3 + 12*l**2 + 6. Let i be m(6). Suppose i*y + 20 = 10*y. Suppose y*v - 4*c = 149, -2*v - v + 2*c = -91. What are the prime factors of v? 3, 11 Suppose -5*j + c + 36 = 5*c, 2*j - 2*c = 18. List the prime factors of 2 + (j/24)/(1/516). 2, 3, 29 Let q = -186 - -267. Suppose p - 5 = -c + q, 2*p = -8. List the prime factors of c. 2, 3, 5 Let b(j) = 3*j**3 - 2*j**2 + 3*j - 4. Let o be b(2). What are the prime factors of -212*(o/(-8) - -2)? 53 Suppose 11*i - 146 = -586. Let n = 56 - i. List the prime factors of n. 2, 3 Suppose -5*l + 0*s - 56 = s, 16 = 4*s. Let t(g) = g**3 + 13*g**2 + 8*g - 4. Let y be t(l). Let u = 62 - y. What are the prime factors of u? 2, 3 Suppose 70*p - 65*p - 680 = 0. List the prime factors of p. 2, 17 Let n be 2 + (-3 - (-4 + 1)). Suppose -46 = n*d - 118. List the prime factors of d. 2, 3 Suppose 2*b + 2*g = 14, 2*b - 2 = 3*g + 2. Suppose 1 + 9 = b*r. Suppose 0 = r*j + 6 - 24. What are the prime factors of j? 3 Suppose 0 = 4*j - 2*j + 2*f + 2, f + 3 = 0. Let y = 10 + -1. Suppose y*h - j*h - 42 = 0. List the prime factors of h. 2, 3 Let q be (60/(-9))/((-3)/(-9)). Let a = q + 57. List the prime factors of a. 37 Let a be (-9)/(-54) + 829/(-6). Let q = a - -16. Let i = -75 - q. What are the prime factors of i? 47 Suppose -4*u + 4*n + 1332 = -2*u, -u - 2*n + 658 = 0. What are the prime factors of u? 2, 331 Suppose -1996 - 2528 = -13*b. List the prime factors of b. 2, 3, 29 Let j be (-5 - -1)*(-162)/72. Let n = 27 - j. List the prime factors of n. 2, 3 List the prime factors of 12 + (9 - -1303) + 8*1. 2, 3, 37 Suppose t = -5 + 26. Let w = 14 - 20. What are the prime factors of 414/t + w/(-21)? 2, 5 Let r = 116 + -29. Suppose -2*f - 2*m + 278 = 0, f - m = 48 + r. What are the prime factors of f? 137 Suppose -678 = -q - 5*c, -c = -2*q - 0*c + 1367. List the prime factors of q. 683 Let u be ((-11)/((-220)/(-32)))/((-4)/10). Suppose 3*c + v = 27, u*c - 4*v - 7 = 13. List the prime factors of c. 2 Let g be ((-12)/(-14))/(9/42). Let p(t) = t. Let r be p(g). Suppose 4*m = -a + 14, 2*a - 3*m = r*a - 28. List the prime factors of a. 2, 7 Let s = -475 + 732. List the prime factors of s. 257 Suppose 16*u - 5922 = 9*u. List the prime factors of u/4*(-12)/(-18). 3, 47 Let g = -237 + 394. Suppose -g = -2*c - 57. What are the prime factors of c? 2, 5 Let l(y) = 32*y - 1. Let o(g) = -g + 3. Let h be o(4). Let c be (-9)/(-12) - h/4. What are the prime factors of l(c)? 31 Let u(i) = i**3 - 8*i**2 + 14*i - 17. Let t be u(8). Let x = t - 27. List the prime factors of x. 2, 17 Suppose 0*r + 5*d + 268 = -4*r, 0 = -2*r + 2*d - 152. Let f = -32 - r. Let o = f - 16. What are the prime factors of o? 2, 3 What are the prime factors of (-1)/2 - (-7)/(84/4734)? 2, 197 Let h be (-54)/(-4)*10/(-15). What are the prime factors of h/(-6) + (-254)/(-4)? 5, 13 Let o = -469 - -2308. What are the prime factors of o? 3, 613 Let w(x) = 2*x**3 - 11*x**2 - 3*x + 3. Suppose -4*c + 23 = -2*h + 1, 3 = 3*h. What are the prime factors of w(c)? 3, 7 Suppose -7 = -5*n + 3. List the prime factors of (1 - 0) + 152/n - 1. 2, 19 Let z be 18/8*(-32)/(-6). Let g be (18/z)/(3/10). Suppose -75 + 0 = -g*d. List the prime factors of d. 3, 5 Suppose 1377 = 3*p + 5*l, 104 = 4*p - 4*l - 1732. List the prime factors of p. 3, 17 Let q be 8/2 - (-1 + 4). Let v = -28 + 51. List the prime factors of (v + q)/((-9)/(-6)). 2 Let d(r) = -r**2 - 20*r + 30. Let g be d(-13). Suppose f - 26 = n - g, n + 5*f = 77. List the prime factors of n. 2, 23 Let s = 66 + 294. Suppose 3*t + s = 5*t. List the prime factors of -3 - (-1)/(5/t). 3, 11 List the prime factors of 10/3 - (-305248)/96. 3, 1061 Let w(c) = -17*c + 1. Let y = -21 - -26. Suppose m = -3*b + 7*b + 3, -b = 4*m + y. List the prime factors of w(b). 2, 3 Suppose -12*n = 121 + 1079. Let i = 213 + n. What are the prime factors of i? 113 Let p(m) = -4*m**2 + 2 - 4*m**3 + 2*m**3 + m**3. Let l be p(-4). Suppose 5*v = l*s + 50, -3*s - 12 - 43 = -5*v. List the prime factors of v. 2 Let c(t) = -t + 5. Let j be c(2). Suppose 4*w + 3*m + 2*m + 25 = 0, -2*m + 36 = -j*w. What are the prime factors of (-60)/18*18/w? 2, 3 Suppose 3*d - 7 - 5 = 3*v, -3*d = 5*v + 20. Let a(o) be the third derivative of o**6/120 + o**5/10 + o**4/4 + o**3/3 - o**2. What are the prime factors of a(v)? 2, 5 Let r(v) = 2*v**2 + 12*v + 3. Let h be r(-6). Suppose -4*f = 3*b - 243, -f + 4*f = h*b + 177. What are the prime factors of f? 2, 3, 5 Let h = -47 + 537. What are the prime factors of h? 2, 5, 7 Let p(i) = i**3 + 20*i**2 - i - 63. What are the prime factors of p(-19)? 317 Let d(h) = -23*h + 49. List the prime factors of d(-11). 2, 151 Let j(o) = -o**3 + 6*o**2 - 5*o - 1. Let b be j(5). Let c be (1 - -3 - b)*1. Suppose 14 = z + c*m, m - 3 = -2. What are the prime factors of z? 3 Suppose -450*r + 9756 = -438*r. List the prime factors of r. 3, 271 Let u(h) = -h**3 + 13*h**2 + 5*h + 13. Let x be u(-11). List the prime factors of ((-2)/6)/((-6)/x). 3, 53 Suppose -28 - 7 = -5*n. Suppose 0 = 4*z - 34 + 2. Suppose 8*t - n*t - z = 0. List the prime factors of t. 2 Let r be ((-172)/(-3))/(8/12). Let x = r - 60. What are the prime factors of x? 2, 13 Suppose -3*l + q + 573 = 0, -4*q - 573 = -2*l - l. Suppose -4*r + 13 = -3. Suppose -p = 5*z - 60, 2*p = -p - r*z + l. List the prime factors of p. 5, 13 Let j(p) = 3*p**3 - 15*p**2 - 4*p - 14. Let l(c) = 8*c**3 - 44*c**2 - 12*c - 42. Let o(r) = -11*j(
{ "pile_set_name": "DM Mathematics" }
- 16*z**2 + 2*z - 543 + 13*z**2 - 2*z**2. -5*z**2 + 2*z Collect the terms in 112*c - 224*c + c**2 + 64 + 112*c. c**2 + 64 Collect the terms in -26*o - 78*o + 24*o - o**2 - 145*o. -o**2 - 225*o Collect the terms in 0 + t + 4*t - 12*t - 4. -7*t - 4 Collect the terms in t + 12980 - 26096 + 13116. t Collect the terms in -4415*v**2 - 4418*v**2 + 8819*v**2. -14*v**2 Collect the terms in 1102*m**3 - 1330*m**3 - 2772*m**3 - 611*m**3. -3611*m**3 Collect the terms in -3*i - 567 + 570 + i - 2*i. -4*i + 3 Collect the terms in -45*d**2 - 57*d**2 - 75*d**2 + 20*d**2. -157*d**2 Collect the terms in 8*m**3 + 26*m**3 + 12*m**3 - 10*m**3 + 16*m**3. 52*m**3 Collect the terms in -77*t**2 + 101*t**2 + 174*t**2 + 15*t**2. 213*t**2 Collect the terms in 207956 - 415916 + 207960 + 4*c**3. 4*c**3 Collect the terms in -39 - 35 - 50*q**2 + 64*q**2 + 74. 14*q**2 Collect the terms in 4842*r**3 + 0*r**2 + 2*r**2 - 4764*r**3. 78*r**3 + 2*r**2 Collect the terms in 49*o**2 - 289*o**2 - 6*o - 107*o**2. -347*o**2 - 6*o Collect the terms in 10 - 2*f + 2 - 2*f - 1 + 5*f. f + 11 Collect the terms in 2281*l**3 - 3*l + 5*l - 2*l. 2281*l**3 Collect the terms in -3 - 986*k + 3 + 7429*k. 6443*k Collect the terms in -14737*a**2 + 7432*a**2 - a**3 + 7305*a**2. -a**3 Collect the terms in 17*s**2 - 12*s**2 - 13*s**2 + s**2 - 13*s**2. -20*s**2 Collect the terms in 2065*x**2 + 2194*x**2 - 4272*x**2. -13*x**2 Collect the terms in 340 - 442 + 7*a + 102. 7*a Collect the terms in -13 + 19 + 1 - 7 - 21*u. -21*u Collect the terms in -3 - 7657*m**2 + 5940*m**2 + 3. -1717*m**2 Collect the terms in 2 + 13 - 272*y**3 - 15. -272*y**3 Collect the terms in 0*q**2 + 3*q**2 - 22*q**2 + 9*q**2. -10*q**2 Collect the terms in 121*k**3 - 21*k**3 + 22 - 22. 100*k**3 Collect the terms in 17 + 3*c**3 + 7*c**3 + 18 - 5*c**3 - 35. 5*c**3 Collect the terms in 7410*i**2 + 7383*i**2 - 14797*i**2. -4*i**2 Collect the terms in -242*o + 7870818*o**2 + 242*o - 7870819*o**2. -o**2 Collect the terms in -4*h**2 - 2*h**2 - 13333*h + 13333*h. -6*h**2 Collect the terms in -513*f + 1257*f + 185*f + 186*f + 1770*f. 2885*f Collect the terms in -88*h**2 + 42*h**2 + 42*h**2 + 1174*h - 1174*h. -4*h**2 Collect the terms in 62*r**2 - 20*r**2 - 36*r**2 - 32*r**2. -26*r**2 Collect the terms in -f**2 + 9*f**3 + 79*f**3 - 87*f**3. f**3 - f**2 Collect the terms in -3841*i**2 + 14*i - 10*i - 5*i. -3841*i**2 - i Collect the terms in -58*g - 64*g + 231*g - 54*g - 57*g. -2*g Collect the terms in -4*l**2 + 10*l**2 + 16*l + 10*l**2 + 13. 16*l**2 + 16*l + 13 Collect the terms in -2 - 1 + 15 - 32*m + 30*m - 38*m. -40*m + 12 Collect the terms in -5*f**3 + 13*f**3 - 9*f**3 + 2*f**2. -f**3 + 2*f**2 Collect the terms in 4*a - a - 3*a - 274929*a**3. -274929*a**3 Collect the terms in -583*g**2 - 185*g**2 - 1418*g**2 - 160*g**2. -2346*g**2 Collect the terms in -140*i - 367*i - 1606*i - 7390*i. -9503*i Collect the terms in -43586*z + 45*z**3 + 43586*z. 45*z**3 Collect the terms in 3*g - g - 70 + 35 + 35. 2*g Collect the terms in 18*z - 56*z + 2*z**2 + 22*z + 29*z. 2*z**2 + 13*z Collect the terms in 3152*l + 3149*l + 3146*l - 12598*l + 3147*l. -4*l Collect the terms in 14921*n**3 - 7443*n**3 - 7490*n**3. -12*n**3 Collect the terms in 698*o**2 - 183 - 697*o**2 + 183. o**2 Collect the terms in 80*n**2 + 79*n**2 + 84*n**2 - 249*n**2. -6*n**2 Collect the terms in 1147*p**2 - 745*p**2 + 1552*p**2. 1954*p**2 Collect the terms in -2*r + 2*r - 48268*r**3. -48268*r**3 Collect the terms in 920 - 302 - 2*y - 325 - 293. -2*y Collect the terms in 42*z**2 - 160*z**3 - 138*z**3 - 41*z**2. -298*z**3 + z**2 Collect the terms in -631 + 21*c - 631 + 1891 - 629. 21*c Collect the terms in 1710 + 1631*g**3 - 3420 + 1710. 1631*g**3 Collect the terms in -k**3 + 240*k**2 - 103*k**2 + 0*k**3 - 102*k**2. -k**3 + 35*k**2 Collect the terms in -119*h + 136*h - 323 + 324. 17*h + 1 Collect the terms in 4091 - 4*n + n**2 + 13*n - 9*n. n**2 + 4091 Collect the terms in -95*d + 355*d - 184*d. 76*d Collect the terms in -2 + 5 - 94202*s**3 - 3 + 94179*s**3. -23*s**3 Collect the terms in -2 - 20570*s**2 + 7 - 5. -20570*s**2 Collect the terms in 325 + 5*b**2 - 325 - 3*b**2 - 21*b. 2*b**2 - 21*b Collect the terms in 771*w - 7004*w - 1503*w - 4043*w. -11779*w Collect the terms in -13*a - 41*a + 4*a + 51*a. a Collect the terms in 258*g - 764*g + 256*g + 250*g + 555*g**2. 555*g**2 Collect the terms in -408*b**3 - 114*b**2 - 407*b**3 - 107*b**2 + 221*b**2 + 813*b**3. -2*b**3 Collect the terms in 254*y + 282*y - 1034*y + 4*y**2 + 246*y + 252*y. 4*y**2 Collect the terms in -11*v - 28690 + 28690 + 2*v**2 + 11*v. 2*v**2 Collect the terms in -26*u**2 + 19*u**2 + 26*u - 22*u - 69*u**2. -76*u**2 + 4*u Collect the terms in -22879*v**2 + 45735*v**2 - 22855*v**2. v**2 Collect the terms in 183*f**2 + 370*f**2 - 6*f**3 - 553*f**2. -6*f**3 Collect the terms in 6*j + 3498 - 7048 + 3550. 6*j Collect the terms in 94 + 7*w - 20*w - 336. -13*w - 242 Collect the terms in 32 + 63 - 20*u**2 + 10*u**2 - 3*u**2 + 6*u**2. -7*u**2 + 95 Collect the terms in -2 - 308*r**2 + 192*r**2 + 2 + 155*r**2. 39*r**2 Collect the terms in 27 - 36 + 6 - 75*t + 3. -75*t Collect the terms in 516*l + 1232*l - 240*l. 1508*l Collect the terms in 87 + 146 - b**2 - 233. -b**2 Collect the terms in -l + 960*l**3 - 479*l**3 - 485*l**3 + 0*l. -4*l**3 - l Collect the terms in 2*m**3 - 104 + 59 - 97 - 3*m**3. -m**3 - 142 Collect the terms in 7 - 17466*n**3 - 4 + 17554*n**3. 88*n**3 + 3 Collect the terms in 3*h**2 + 3*h - 4*h**2 - 13*h**3 - 5*h**3 - 7*h**2. -18*h**3 - 8*h**2 + 3*h Collect the terms in 43*f**2 + 41*f**2 + 41*f**2 - 245*f**2 + 44*f**2 + 80*f**2. 4*f**2 Collect the terms in -l - 377*l**2 + 306*l**2 - 6*l**3 - 575*l**2. -6*l**3 - 646*l**2 - l Collect the terms in 2*o - 2*o - 1044497*o**3 + 1044484*o**3. -13*o**3 Collect the terms in 34*p**2 - 20*p**2 + 13*p**2 - 22*p**2 - 21*p**2. -16*p**2 Collect the terms in -532*h**3 + 379*h - 379*h + 4*h**2. -532*h**3 + 4*h**2 Collect the terms in -248 + 2034*m**2 + 494 - 246. 2034*m**2 Collect the terms in -1502*o**2 + 749*o**2 + 711*o**2. -42*o**2 Collect the terms in 11*p - 49 + 12*p**2 - 6*p - 11*p**2 - 5*p. p**2 - 49 Collect the terms in -9*i**3 - 4319 - 11*i**3 + 4319. -20*i**3 Collect the terms in 27442*m**2 + 4 + 3579*m**2 - 3. 31021*m**2 + 1 Collect the terms in -1 + 1 - 196*u**2 + 0 + 0 + 185*u**2. -11*u**2 Collect the terms in 131*j**2 - 24*j**2 - 75*j**2 - 23*j**2. 9*j**2 Collect the terms in -52*l + 295*l + 2*l**2 - 159*l - l**2. l**2 + 84*l Collect the terms in 6 - 6 + 123*a - a**3 - 2 - a**3. -2*a**3 + 123*a - 2 Collect the terms in 2278*f + 2279*f + 614*f**2 - 4557*f. 614*f**2 Collect the terms in -28*p**3 - 66*p**3 - 208*p**3. -302*p**3 Collect the terms in -589*m + 186*m - 891*m - 703*m. -1997*m Collect the terms in -5 + 4 + 1 + 734725*h - 733980*h. 745*h Collect the terms in -15*i + 16 - 74*i - 43 - 26*i. -115*i - 27 Collect the terms in -15*a + 557 - 3*a + 5*a. -13*a + 557 Collect the terms in 4 + 3246*g - 1518*g - 3 - 1725*g - 1. 3*g Collect the terms in -4285 + 3*p - 4265 + 8550. 3*p Collect the terms in -19065*y**2 + 57203*y**2 - 19075*y**2 - 19064*y**2. -y**2 Collect the terms in 7*u - 7*u + 427*u**3 + 214*u**3. 641*u**3 Collect the terms in -311*t**2 - 356 + 170 + 799*t**2 + 186. 488*t**2 Collect the terms in -11559*u + 4748*u - 6022*u. -12833*u Collect the terms in -38247 + 7*u**2 - 5*u + 38247. 7*u**2 - 5*u Collect the terms in 58*h - 58*h + 124*h**2 - 319*h**2. -195*h**2 Collect the terms in -1 + 180*k + 184*k + 189*k - 736*k + 182*k. -k - 1 Collect the terms in 64 + 23 - 22*c - 87 + 10*c. -12*c Collect the terms in -3*b**2 - 38370 - 5*b**2 + 38364 + 11*b**2. 3*b**2 - 6 Collect the terms in 192*x**2 - 468*x**2 - 245*x**2. -521*x**2 Collect the terms in -1385*r**2 + 2770*r**2 - 1383*r**2 + 35. 2*r**2 + 35 Collect the terms in 344*j**2 + 3*j - 3*j - 50*j**2. 294*j**2 Collect the terms in 2857115*f**2 + 2857114*f**2 - 5714249*f**2. -20*f**2 Collect the terms in -642*x**2 - 630*x**2 - 291*x**3 + 1272*x**2 + 294*x**3. 3*x**3 Collect the terms in -1104*x**3 + 161*x**2 + 102*x**2 + 1103*x**3 - 263*x**2. -x**3 Collect the terms in v - 24*v - 7*v + 11*v - 21*v. -40*v Collect the terms in 31*l + 78*l - 230*l - 168*l - 5*l**2. -5*l**2 - 289*l Collect the terms in 5528293*y + 235*y**
{ "pile_set_name": "DM Mathematics" }
10 = -3*x - 11. Let h(r) = r**2 - 16*r + 26. Let j(a) = x*h(a) + 3*m(a). Is j(17) prime? True Is (5 + (-17)/3)/((-4)/6486) a composite number? True Let m(b) = 96*b**2 - 2*b - 1. Let l(a) = -a**3 + 2*a**2 + 4. Let i be l(0). Suppose i*f - 2*h - 3 = 1, f = 5*h + 19. Is m(f) a composite number? False Suppose 12 = 2*t - 0*t - 5*s, t - 6 = 3*s. Suppose m = 2*i + t*m - 22, 4*i = m. Let l(q) = 203*q**2 - q + 1. Is l(i) composite? True Let p(r) = -3*r**3 - r**2 + 5*r + 12. Let b be p(-5). Let m = b + -208. Is m composite? True Suppose -m + v = -25702, -58900 - 43904 = -4*m + 2*v. Is (m/(-4))/(-5) + 0 prime? False Suppose -t - 13619 = 5*w, 2*t + 3*w - 14413 = -41686. Is (2/(-6))/(4/t*3) a prime number? True Suppose -27*l - 318110 = -37*l. Is l prime? False Let b = 3 - 2. Is 3 + 1290 - b - (-2 + 0) prime? False Let l = -33 - -27. Let v be (-8)/(-6)*(-9)/l. Let s(n) = 273*n - 5. Is s(v) prime? True Let i(m) = 6*m + m**3 + 23 + 20 + 9*m**2 - 36. Suppose -w + 2*s - 12 = 0, 3*w - 2*s = -29 + 5. Is i(w) a prime number? True Let l(f) = f**3 - f**2 + 3*f - 2. Let x be l(2). Suppose 0 = -4*p - y - 2*y + x, 2*y = -5*p + 10. Let z(a) = 4*a**2 - 2*a - 1. Is z(p) a prime number? True Let i be 5 + 2 + -4 - (-1 + -1). Suppose 0 = -i*w - 2*p - 0*p + 2853, 4*p = -5*w + 2851. Is w a prime number? True Suppose -2*o = -0*o + 3*g - 1285, o - 642 = -g. Is o a prime number? True Suppose -4*g - 2*s + 13 = 7, -5*s = 3*g - 15. Suppose 2*l - 10 = g, -5*l + 504 = n - 0*n. Is n a composite number? False Suppose 0 = 5*c - 2*a - 29, c - 2*c = 3*a - 16. Let v(g) = g**3 + 2*g**2 + g - 2. Let f be v(c). Let u = f + -237. Is u prime? False Suppose 13*o - 11*o - 4*z = 890, 1326 = 3*o + 3*z. Is o composite? False Suppose -4*z - 7568 + 45916 = 0. Is z a prime number? True Suppose 350 = 11*c - 6*c. Let z = 301 + c. Is z a composite number? True Suppose -20 = -2*t + 7*t. Is 3 - (4 + -374 + t) a composite number? True Suppose 9*i + 13308 = 179889. Is i composite? True Let m = 3904 - 2129. Let a = -996 + m. Is a a prime number? False Let t(c) = 242*c**2 - 26*c + 19. Is t(-12) composite? True Suppose -3*p = 3*x - 3, x + 1 = -p - 2*p. Let f(h) = 3*h**2 + 6*h**3 + 5*h - 5 - h**x - 5*h**3. Is f(3) prime? False Suppose -1750 = 4*i - 2*q, -4*i = -4*q - 0*q + 1760. Let p = i - -915. Suppose -4*c + p = -2*w - 84, 0 = 2*c - 2*w - 278. Is c a composite number? True Let m(h) = 17*h**3 + 8*h**2 - 2*h + 1. Is m(6) prime? False Let l(k) = -k + 18. Let g be l(14). Suppose 55 = g*u - 69. Is u composite? False Let o(z) be the third derivative of -z**6/120 + 17*z**5/60 - z**4/6 - z**3/2 + 11*z**2. Is o(11) a composite number? True Suppose -75*w + 77*w = 8362. Is w a prime number? False Let c = -184 + 374. Let a = c - -203. Is a prime? False Is (-12)/((-72)/21)*(-13994)/(-7) a composite number? False Suppose 8*r = -r - 23472. Let d = 409 - r. Is d composite? True Let f be (0 + 0)/(-15 - -13). Suppose -2*v + 1006 + 1356 = f. Is v a composite number? False Suppose 6*s - 1 - 11 = 0. Suppose -3*g - g = 5*h - 861, 0 = 2*g + s*h - 428. Is g composite? True Let t = 7636 + -5421. Let i = t - 1248. Is i a prime number? True Let j be (-2)/(-4)*6*1. Suppose j*s + 9 = -0*s, t - 2*s - 62 = 0. Suppose -3*p + 689 - t = 0. Is p a composite number? False Let q be (8/(-2))/((-3)/6). Let p(g) = -g**3 + 16*g**2 - 12*g - 5. Is p(q) prime? False Let l(u) be the second derivative of 235*u**3/6 + 3*u**2/2 - 9*u. Let t be l(5). Suppose t = 5*y + 223. Is y a prime number? True Let t = 4897 + -2922. Suppose -t = -3*s - 4*z, -s + 669 = 4*z - 0*z. Is s composite? False Let u(d) = -6*d**3 - 7*d**2 - 2*d + 6. Let q be u(-5). Suppose -3*n + n - v + q = 0, -566 = -2*n + 4*v. Is n composite? False Let c(j) = 42*j**2 - 6*j. Let m be c(7). Suppose m = 2*l - 3*a - 1771, -3*l = 5*a - 5690. Is l prime? False Let k(h) = -73*h**3 - 32*h**2 + 9*h + 20. Let g(z) = -24*z**3 - 11*z**2 + 3*z + 7. Let b(x) = 17*g(x) - 6*k(x). Is b(4) prime? True Suppose s - 2*v + 46 = -23, -5*s - v = 323. Let r = s + 152. Is r prime? False Is (-6 - -4 - (5 + -6))*-4721 a prime number? True Let j(u) = 30*u - 3. Let h(t) be the third derivative of -t**6/120 + t**5/10 + 7*t**4/24 + 3*t**3/2 + 5*t**2. Let g be h(7). Is j(g) prime? False Is -7*18/(-819) + 49281/13 a composite number? True Suppose 503 = -7*j - 50. Let f = -138 - -332. Let a = f + j. Is a a prime number? False Let h(u) = -5643*u + 94. Is h(-1) a prime number? True Let p(y) = y**2 - 23*y + 24. Let x be p(10). Let t = -68 - x. Is t prime? False Suppose i + 1039 = 2*i. Is i a prime number? True Suppose -2*i = -5 + 3. Suppose -m + 0 - i = 0. Is 1/(2*m/(-332)) a composite number? True Let y be (30/(-12) - -2)/((-1)/(-2168)). Let z = y + 1797. Is z prime? False Let p be 4/(-22) - 2/(-11). Suppose 4*m - 2*w - w = 242, 5*w + 10 = p. Is m composite? False Let w = 1225 - 860. Suppose l + w = -1515. Let s = -1129 - l. Is s a composite number? False Let r(s) = 27*s**2 - 17*s - 31. Is r(15) a prime number? False Let a = -32 - -90. Let q = 52 + a. Is q/6 - (-34)/51 a prime number? True Suppose -18*l = 8*l - 276926. Is l prime? True Let a be (-2 - (-24)/9) + 7096/12. Suppose 0 = -5*s - 4*y + 2465, -5*y - a = -3*s + 887. Is s composite? True Let v(m) = -3*m + 22. Let g(s) = -s + 7. Let k(i) = -7*g(i) + 2*v(i). Let r be k(7). Suppose -5*h + 4*w + 426 = -3*h, w - r = 0. Is h composite? True Suppose -t + 2*h + 9461 = 0, 5*h - 5280 = -2*t + 13642. Is t composite? False Let x(g) = 0*g - 4*g - 9 - 3*g + 6*g**2 - 2*g**2. Let q be x(-6). Suppose -2*i = -5*r - 139, 3*i = -2*r - r + q. Is i prime? False Is ((-27)/18)/(4 - (-629771)/(-157442)) composite? False Suppose -24 = -5*t + 6. Let k(u) = -t + 5*u + 13*u + 31*u. Is k(5) a composite number? False Let x = 163 + -50. Let c = x - 76. Is (-1 - -1)/(-2) + c composite? False Suppose 0 = 2*p + 4*i - 20, 6*p + 3*i = p + 22. Let w be 4 - (-2 + p - -4). Suppose -4*z + 497 = -w*o + 5*o, -2*z = 4*o - 394. Is o a composite number? False Let k = 104 + -105. Let l(g) be the first derivative of 835*g**3/3 + 1. Is l(k) a prime number? False Suppose 2*q + 4*j + j = 3031, 5*q - 4*j = 7561. Is q prime? False Let t = 1247 + 2504. Suppose -7*w - t = -15210. Is w prime? True Is 145/58*((-100076)/(-5) - 2) a composite number? False Let n = -11 + 17. Let w be n/(-8) - 207/(-36). Suppose 32 + 83 = w*v. Is v prime? True Let c(x) = 87*x - 38. Is c(11) a composite number? False Let l = 15 - 15. Suppose 0 = 3*h - l - 15. Suppose h*d - d = 1172. Is d composite? False Let f = -6 - -6. Is f*2/(-6) + 669 composite? True Let c = 30 - 26. Suppose -c*q = -6*q. Let z(i) = 2*i**2 + i + 1597. Is z(q) a composite number? False Let p be (-24)/(-14) + (-4)/(-14). Let s be 36*(-12)/(-10)*(2 - -3). Suppose -5*b = 3*h - 376, s = p*h - b - 39. Is h prime? True Let g(x) = -12*x**2 + 7*x + 10. Let r be g(-3). Suppose 3*f - 2*f = -538. Let i = r - f. Is i composite? False Let m = 3016 + -1751. Suppose 5*h = -s + 253, -5*s + 0*h = -4*h - m. Is s composite? True Let a(k) = 25*k**3 + 2*k**2 - 3*k + 3. Let o = 32 - 30. Is a(o) composite? True Let q = -3 - -5. Suppose -4 = -q*z + z. Suppose -3*f = -z*f + 9. Is f composite? True Let x be (5873 + -3)/(-3 + 4). Suppose 4*m - x - 3506 = 0. Suppose -2*z - 606 = -m. Is z prime? False Is ((-2)/8)/(33/(-406428)) prime? True Let v be (-2)/((-15)/(-6) + -3). Suppose -4*s - 1067 = -v*n - 43, -5*s - 276 = -n. Is n a prime number? True Let u(q) = -2*q**3 - 6*q**2 + q - 1 + 3*q**3 - 13*q. Is u(8) composite? False Let y = 2637 - 498. Is (-1)/(-6) + y/18 prime? False Let t(n) = -5*n**3 + n**2 - 655. Let y(g) = 11*g**3 - 2*g**2 + 1310. Let x(k) = -13*t(k) - 6*y(k). Is x(0) prime? False Suppose 14*o + 0 = 266. Is o + -4 + (3 - -1) a composite number? False Let f = -30 + 48. Suppose -14*x = -f*x + 296. Is x prime? False Let m(l) = -2*l**3 + 3*l**2 - 3*l + 2. Suppose 0 = t + y - 1, -2*t - 3*y - 3 = 3*t. Let r be m(t). Let j = r - -87. Is j a composite number? False Let v = 58 + -59. Is 608 + -5*v*(-9)/(-15) prime? False Suppose -5*q + 29 = 94. Let h(m) = -22*m - 27. Is h(q) a composite number? True Suppose 0 = 3*y - 10*y + 6559. Is y composite? False Suppose -4*s + 26338 = 5*f + 1706, 0 = -4*s + 2*f + 24660. Is s composite? False Let p(t) = -47*t**3 - t**2 - t + 1. Let h be p(2). Let i = 889 + h. Suppose
{ "pile_set_name": "DM Mathematics" }
(r) be the third derivative of y - 1/12*r**4 + 0*r + 4*r**2 - 1/6*r**3 + 7/60*r**5 - 1/30*r**6. Find l such that c(l) = 0. -1/4, 1 Let r be (-8)/(-3)*(-34)/(4624/(-153)). Factor -4/5*k**r - 44/5*k + 4/5*k**4 - 36/5*k**2 - 16/5. 4*(k - 4)*(k + 1)**3/5 Suppose -2*j = 5*k + 2 - 0, -k - 22 = -5*j. Let m(g) be the first derivative of -3/4*g**4 - 21/2*g**2 + 9*g + j + 5*g**3. Let m(c) = 0. Calculate c. 1, 3 Let g be 8/3 + (-4)/6. Factor 54 + 21*s**3 + 225*s + 21*s**2 - 5*s**2 + 20*s**g + 96*s**2. 3*(s + 3)**2*(7*s + 2) Let x be 4275/350 + (-2)/(-7). Factor x + 5/2*u + 1/8*u**2. (u + 10)**2/8 Let y(r) be the third derivative of r**7/210 - r**6/40 - 7*r**5/10 - 25*r**4/6 - 12*r**3 + 2*r**2 - 208*r. Determine w, given that y(w) = 0. -2, 9 Let -4*p**5 - 225 + 225 + 7*p**4 - 16*p**2 - 23*p**4 - 24*p**3 - 4*p = 0. Calculate p. -1, 0 Let v = -6029141/116 + 51976. Let r = v - -3/29. Solve -1/4*g**4 + r*g**2 + 0 + 1/2*g + 0*g**3 = 0. -1, 0, 2 Suppose -36*k + 348*k - 48*k = 792. Factor 0*m**2 + 12/7*m**k - 16/7*m - 4/7*m**4 + 0. -4*m*(m - 2)**2*(m + 1)/7 Let x(l) be the third derivative of -l**8/1176 + l**7/735 + l**6/210 + 4*l**2 + 143. Factor x(g). -2*g**3*(g - 2)*(g + 1)/7 Let j(o) be the third derivative of o**8/16800 - o**6/600 - o**5/150 + 2*o**4/3 - 9*o**2. Let l(s) be the second derivative of j(s). What is k in l(k) = 0? -1, 2 Let k = -6 - -10. Suppose -5*o + 14 = k. Find y, given that 16*y**5 + 60*y**3 + 4*y + 15*y**4 - 11*y**2 - 7*y**2 - 67*y**4 - 10*y**o = 0. 0, 1/4, 1 Let t = 10 - -6. Let r(f) = -26*f**2 - 80*f - 144. Let x(l) = 5*l**2 + 16*l + 29. Let v(u) = t*x(u) + 3*r(u). Find a such that v(a) = 0. -4 Suppose 2*b - 4 = 3*i, -22*b = -4*i - 18*b - 8. Let k(v) be the first derivative of -v**4 - 2*v**2 - 12/5*v**5 + 1 + 4/3*v**6 + 4*v**3 + i*v. Solve k(w) = 0. -1, 0, 1/2, 1 Let a(k) be the third derivative of 25*k**8/112 + 467*k**7/42 + 61*k**6/24 - 31*k**5/12 - 56*k**2. Let a(d) = 0. Calculate d. -31, -1/3, 0, 1/5 Let t(j) be the second derivative of -j**7/8820 - j**6/2520 + j**5/210 - 9*j**4/4 + 8*j. Let z(x) be the third derivative of t(x). Factor z(c). -2*(c - 1)*(c + 2)/7 Let n(h) be the second derivative of -2*h - 1/40*h**5 - 1/12*h**4 + 1/2*h**2 + 1/12*h**3 + 0. Factor n(m). -(m - 1)*(m + 1)*(m + 2)/2 Suppose 5*u - 16 + 6 = 0. Let h(v) = -12*v + 207. Let g be h(17). Let g*j**2 + 31*j + 0*j**u + 3 - 25*j + 0*j**2 = 0. Calculate j. -1 Suppose -5*l + 7 = t, -3*t + 2 = 2*l - 6. Determine x so that 10*x**4 - 25*x - 91*x**3 + 5*x**5 + 70*x**t - 68*x**3 + 99*x**3 = 0. -5, 0, 1 Let f = -665 + 670. Let n(w) be the third derivative of -4/525*w**7 + 0*w - 13/150*w**f - 1/15*w**3 + 0 - 5*w**2 - 1/10*w**4 - 1/25*w**6. Factor n(h). -2*(h + 1)**2*(2*h + 1)**2/5 Suppose -6 = 2*b - 26. Let g = -7 + b. Factor -4/7*z + 0*z**2 + 4/7*z**g - 2/7*z**4 + 2/7. -2*(z - 1)**3*(z + 1)/7 Let w be (0/(-1))/(-4 + 2). Let j(l) = l**3 + 85*l**2 - 85*l + 86. Let c be j(-86). Factor c*z + w - 1/4*z**2. -z**2/4 Let s(r) be the second derivative of 3*r**5/80 + 15*r**4/16 + 6*r**3 + 33*r**2/2 + 359*r. Suppose s(d) = 0. Calculate d. -11, -2 Let i be ((-45)/2)/(-9)*(-48)/(-2). Suppose -6*d + i = 42. Find z, given that -14/17*z - 2/17*z**d + 10/17*z**2 + 6/17 = 0. 1, 3 Let z(r) be the second derivative of -3*r**5/100 - 21*r**4/20 + 48*r**3/5 - 30*r**2 - 704*r. Factor z(k). -3*(k - 2)**2*(k + 25)/5 Suppose 871*d + 83 = 982*d - 139. Factor -27/4*p**d + 3/8*p**4 - 15 - 3/8*p**3 + 39/2*p. 3*(p - 2)**3*(p + 5)/8 Factor -50/7*h**2 + 2/7*h**3 + 0*h + 0. 2*h**2*(h - 25)/7 Determine k so that -118*k**2 - k**3 + 16*k**2 + 21*k**2 - 90*k**2 - 3249*k - 20577 - 2*k**3 = 0. -19 Suppose 5*u + 13 = 33. Let x(q) be the second derivative of 1/6*q**u + 5*q + 0 + 5/12*q**3 + 1/2*q**2 + 1/40*q**5. Let x(y) = 0. What is y? -2, -1 Let y(f) = 3*f**5 + 7*f**4 + 20*f**3 + 20*f**2 + 6*f. Let b(l) = -4*l**5 - 7*l**4 - 21*l**3 - 20*l**2 - 5*l. Let n(k) = 2*b(k) + 3*y(k). Factor n(m). m*(m + 1)*(m + 2)**3 Let r = 26/7 + -24/7. Suppose 0*v - r*v**4 + 0 - 4/7*v**2 + 6/7*v**3 = 0. What is v? 0, 1, 2 Let y(n) = n**3 + 6*n**2 + 5*n - 4. Let z be y(-4). Find k such that 0*k**3 - z*k**4 + 6*k + 9*k**2 + 2*k**4 - 9*k**3 = 0. -2, -1/2, 0, 1 Let u(i) be the third derivative of 3/4*i**4 - 49*i - 1/20*i**5 + 0 - 4*i**3 + i**2. Solve u(y) = 0 for y. 2, 4 Let q(z) be the third derivative of z**9/90720 + z**8/5040 + z**7/840 + z**6/270 - z**5/30 + 12*z**2. Let k(n) be the third derivative of q(n). Solve k(v) = 0. -4, -1 Suppose 3*j + k = -58, -3*j - 5 = -2*k + 41. Let q be j*(14/15 - 1). Suppose 3/5*c**2 - q*c - 9/5 = 0. What is c? -1, 3 Let j(p) be the first derivative of -p**3/3 + 118*p**2 - 13924*p + 287. Let j(y) = 0. Calculate y. 118 Solve 3/5*d**4 - 93/5*d**2 + 108/5*d + 0 - 18/5*d**3 = 0 for d. -4, 0, 1, 9 Let s(r) be the second derivative of -r**5/80 - 25*r**4/96 + 7*r**3/24 + 13*r**2/16 + 7*r - 4. Factor s(n). -(n - 1)*(n + 13)*(2*n + 1)/8 Let g(t) be the first derivative of 0*t**3 - 1/160*t**6 + 1 - 3/2*t**2 + 0*t**4 + 1/80*t**5 + 0*t. Let a(u) be the second derivative of g(u). Factor a(o). -3*o**2*(o - 1)/4 Let d(l) be the second derivative of -l**4/18 - 22*l**3/9 + 23*l**2/3 - 31*l. Let d(h) = 0. Calculate h. -23, 1 Let d(g) be the first derivative of g + 7 - 5/6*g**4 - 1/10*g**5 - 4*g**2 - 8/3*g**3. Let f(r) be the first derivative of d(r). Factor f(h). -2*(h + 1)*(h + 2)**2 Let y(t) be the first derivative of t**5 - 45*t**4/2 + 100*t**3 - 140*t**2 + 501. Determine q, given that y(q) = 0. 0, 2, 14 Let u(o) be the second derivative of -3*o**5/20 - 7*o**4/4 - 15*o**3/2 - 27*o**2/2 + 7*o + 10. Factor u(z). -3*(z + 1)*(z + 3)**2 Let f = -213 + 3197/15. Let k = 1712 - 1708. Factor f*c**3 - 2/15*c**5 + 0*c - 2/15*c**k + 2/15*c**2 + 0. -2*c**2*(c - 1)*(c + 1)**2/15 Let u(f) be the first derivative of -f**2/2 - f - 20. Let n(t) = -3*t**3 - 9*t**2 - 9*t - 3. Let d(r) = n(r) - 3*u(r). What is z in d(z) = 0? -2, -1, 0 Let h(r) be the second derivative of -r**7/210 + r**6/75 + 17*r**5/100 - 7*r**4/6 + 46*r**3/15 - 4*r**2 - 189*r. Factor h(q). -(q - 2)**3*(q - 1)*(q + 5)/5 Let h = -51 - -57. Let t be ((-245)/75 - -3)/((-4)/h). Suppose t - 2/5*z**2 + 0*z = 0. Calculate z. -1, 1 Let w(d) be the first derivative of d**6/2 - 57*d**5/5 + 369*d**4/4 - 301*d**3 + 294*d**2 + 258. Suppose w(q) = 0. Calculate q. 0, 1, 4, 7 Let u(v) be the third derivative of -v**6/24 + 15*v**4/8 - 11*v**2 + 5*v. Suppose u(l) = 0. Calculate l. -3, 0, 3 Let i = -89 + 109. What is y in -15*y**3 + 0*y**2 + 5*y**4 - 28*y - i*y**2 + 28*y = 0? -1, 0, 4 Let -r + 18 + 4*r**2 + 22*r - 15*r**2 + 14*r**2 = 0. What is r? -6, -1 Suppose -n + 4 = 0, 3*y = -5*n + 7 + 28. Factor -9*b**3 + y*b**3 + 10*b**2 + 6*b**3 + 8*b. 2*b*(b + 1)*(b + 4) Let l(b) = 2*b**3 + 10*b**2 - 8*b - 4. Let k(h) = -h**2 + h. Let s be ((-3)/(-9))/(2/(-12)). Let v(z) = s*l(z) - 12*k(z). Let v(o) = 0. What is o? -2, -1, 1 Let q = 1303/76 - 321/19. Let b be 6/8*(-4)/(-6). Let 3/4*z**2 - b - 1/4*z - 1/4*z**4 + q*z**3 = 0. What is z? -1, 1, 2 Suppose -3*k + 6 = 2*u - 0, -4*k + 8 = 4*u. Factor -6 - 3*l - l**k + 5 + 6*l + 5*l**2. (l + 1)*(4*l - 1) Determine d so that -8 + 8/7*d + 2/7*d**4 + 6*d**2 - 20/7*d**3 = 0. -1, 2, 7 Factor 250/7*h**3 - 23704704/7 - 34200/7*h**2 + 1559520/7*h. 2*(5*h - 228)**3/7 Determine l so that 0 + 61/4*l**3 - 4*l - 7/4*l**4 - 19/2*l**2 = 0. -2/7, 0, 1, 8 Let q(b) be the third derivative of 0*b + 1/75*b**7 + 0 + 36*b**2 + 1/50*b**5 + 1/25*b**6 - 1/30*b**4 + 0*b**3. Factor q(n). 2*n*(n + 1)**2*(7*n - 2)/5 Factor 4*w**4 + 8*w**5 - 5*w**2 - 2*w**3 - 4*w**5 - 2*w**2 + 3*w**2 - 2*w**3. 4*w**2*(w - 1)*(w + 1)**2 Let d(l) be the third derivative of -1/420*l**5 + 18*l**2 + 1/168*l**4 + 0*l + 1/21*l**3 + 0. Factor d(f). -(f - 2)*(f + 1)/7 Suppose 9*y = -y. Suppose 0 = 2*u - 4*m - 12, -3*u + 16 = -y*u - 4*m. Find t, given that -16/3*t**2 + 64/9*t + 16/9*t**3 - 32/9 - 2/9*t**u = 0. 2 Factor -400*v**3 - 12*v**2 + 398*v**3 + 0*v**2. -2*v**2*(v + 6) Let q(y) be the third derivative of 0*y + 1/120*y**5 - 1/24*y**4 + 1/12*y**3 - 7*y**2 + 0. Factor q(d). (d - 1)**2/2 Suppose -f + 2*q = -17, -f + 4*q + 47 = 2*f. Solve -5*v**4 + 25*v + 51*v**2 - 25*v**3 + f + 7 - 66*v**2 = 0 for v. -4, -1, 1 Let c = 197 + -207. Let m be c/(-10) - 3/(-3). Factor -2/3*a**m - 1/3 + a. -(a - 1)*(2*a - 1)/3 L
{ "pile_set_name": "DM Mathematics" }
Solve 0 = 2*d - n*t, 3*d = 7*t - 2*t + h for d. -3 Suppose 59 = 3*y + 53. Suppose 0 = y*p + j - 3, 6*p - p = -2*j + 6. Solve 0 = 2*t - 4*l - 12, -t + 5*t + l + 3 = p for t. 0 Let y(m) = -m**3 + 3*m**2 + m - 2*m - 7*m**2 + 0 - 4. Let u be y(-4). Suppose -3 = -b - u. Solve -p - b*p = 3*z - 4, 0 = p + 2 for z. 4 Suppose 4*t = j - 20, 40*t - 41*t = 3*j + 5. Solve b = -2*l + 2*b - 2, j = -4*b - 8 for l. -2 Suppose 2 = 22*c - 21*c. Let i(t) = t**3 + 7*t**2 + 10. Let r be i(-7). Solve -3*y = -c*j - y, -4*y = j - r for j. 2 Let g(m) = -m**3 - 6*m**2 - m - 8. Let c be g(-5). Let d = 35 + c. Solve 4*s - 2*o - 5 = -d*o, -15 = -3*o for s. -5 Let r(y) = y**3 + 20*y**2 - 21*y - 25. Let m be r(-21). Let v be 4/(-16)*0 - m. Solve 5*h = -10, 4*q + h + 7 = v for q. 5 Suppose 101*g - 75*g - 78 = 0. Solve g*b = -2*o - 0 - 11, -4*o = b + 7 for o. -1 Let q(s) = s**3 - 13*s**2 - 9*s - 68. Let p be q(14). Solve 2*y = 5*n - 14, 3*y = p*n - 11 + 1 for n. 2 Let b be 2*(8 - -4)/3. Let s be (-60)/b*(-9)/((-135)/(-10)). Solve -g + 9 = -2*c, -g + 10 = -s*c - 11 for g. 1 Suppose 2*a = -a + 24. Let q be ((-92)/69)/((a/(-6))/1). Solve 0 = j - 3*j - 3*i - q, 3*j + 4*i = -1 for j. 1 Suppose 3*v + o + 2 = -0, -3*v = 5*o + 10. Suppose v = 10*k + 7 - 57. Solve 2 = c - f, 0 = 2*c + k*f - 6 + 16 for c. 0 Let p(i) = -i - 2. Let l be p(-8). Let b be (6 + -30)*(-4)/l. Suppose -8 = u + 5*g, 2*u = -2*u + 4*g + b. Solve 0 = -u*x - 2*a + 14, -5*a - 13 = -4*x - 3 for x. 5 Let h(g) = -g**3 - 3*g**2 + 2*g + 2. Let s be h(-4). Suppose 5*q - s = 7*q. Let y = 7 + q. Solve -2*j - 4*z = -3*j + 8, y*z - 18 = -5*j for j. 4 Let r be (-2)/7 + 10/35. Solve r = -2*d + 5*z - 7*z - 8, -4*z = 2*d + 16 for d. 0 Let y be (52/39)/((-8)/(-18)). Suppose -2*u = y*u - 60. Solve -w + 3*c = u, 4*w - 8*w - 3 = 3*c for w. -3 Let m be (6 + -1)/(-43 - -44). Solve 4*g + 3*s - m - 6 = 0, -2*s = g - 9 for g. -1 Let m(l) = l**3 + l**2 - l - 16. Let q be m(0). Let v = 20 + q. Suppose h - 6*h - 11 = 2*x, v*h = 2*x - 16. Solve 0 = 5*p, 5*s = x*s + p + 3 for s. 1 Let p(l) = -l**3 - 5*l**2 - 6*l - 7. Let w be p(-4). Suppose 4*h + 8 = -o, 3*o - 2 = -3*h + w. Solve -4*x = b - 8, -1 - o = -b - x for b. 4 Suppose -4*d = 9*l - 4*l - 15, d = -4*l + 12. Solve 2*c = -2*i + 4, 5*c - 9 = -l*i + 1 for c. 2 Suppose 0 = v + 4*u + u - 11, 26 = 5*v - 4*u. Solve -2*z + 8 = -t, 0*z - 3*z - v = 3*t for t. -4 Let c = -7 - -10. Suppose 4*r + 32 = 128. Let j be ((-2)/4)/((-12)/r). Solve -c*x - x - 5*q + j = 0, -3*x - 1 = 2*q for x. -1 Let f(s) = -s - 1. Let o be f(-1). Suppose o = -11*h + 4*h + 35. Solve -21 = -c + 6*c - 2*m, h*m - 18 = c for c. -3 Let t(v) = -v**2 + 6*v + 17. Let o be t(7). Suppose 2*d + o = 3*d. Solve 5*c - 17 = 4*w + d, 4*c + 5*w + 3 = 0 for c. 3 Let u = -138 - -140. Let t be (-87)/(-27) + (-8)/36. Solve 5*h = u*l - 9, -h + 0 = t for l. -3 Suppose 3*y + 6 = 6*y. Suppose 4*f + 18 = -y*p, 3*f + 13 = -p - p. Solve 0 = 5*m - 4*a - p, 2*a + 3 + 0 = 5*m for m. 1 Let b = -2011 + 2029. Solve -n + 26 = n + 5*y, -2*n + b = 3*y for n. 3 Suppose 16 + 2 = 9*w. Let x = -5 - -5. Let n be x*-1*1/2. Solve n = w*a + 2*r + 14, 2*a - r = 4*r for a. -5 Let o = -2647 - -2647. Solve 0*u = -4*u + 4*n + 36, o = -3*u + 4*n + 31 for u. 5 Suppose 53*g = 82*g - 87. Solve u - g*w + 4*w + 2 = 0, 10 = u - 5*w for u. 0 Let d = -946 - -949. Solve -d*c + 0*f + 2*f = 4, 5*c = f + 5 for c. 2 Let c be (2*-1 - -3)/(4/92). Suppose 3*b - 32 + c = 0. Solve 0 = -7*j + b*j + 4*d - 8, -j + 2*d = 5 for j. 1 Let b(y) = -2*y**3 - y**2 + 1. Let k be b(-1). Let u = -45 + 55. Let t be 104/u + (-6)/15. Solve -k*v - v = 5*a - t, -3*v - 2*a = 5 for v. -5 Suppose 2*h = 6*h + 20, 3*h + 19 = s. Solve -s*y + 9 = -d, -7 = -4*y + d - 2*d for y. 2 Let k = 4 + -1. Let s = 23 - 23. Let n be (250/30 - 5)*(-12)/(-10). Solve s*v - 3*a = -v - n, 5*v = -k*a + 34 for v. 5 Let x be (-12)/(-5)*(-80)/(-6). Solve -o + 2*c + 3 + 10 = 0, -4*o + 3*c = -x for o. 5 Let l(g) = -g**2 + 7*g - 4. Let s be l(6). Suppose -4*t = 36*w - 33*w - 6, 3*w + 8*t = 6. Solve 2*c + 14 = -w*m, -s*m + 7 + 3 = -4*c for c. -4 Suppose 4*f - 15 = 34*w - 35*w, -3*w = 3*f - 9. Solve -5*m - 3 = o, -f*o - 2*m = 2*m - 4 for o. 2 Let h(x) = -x**3 - 8*x**2 + 9*x - 3. Let o be h(-9). Let v be o/(4/(20/(-3))). Suppose 0 = v*n - 2*n - 9. Solve 4*q + r - 1 = 0, -n*q + 28 = 5*r + 6 for q. -1 Suppose 9*t - 39 = -21. Solve 3*g = 3*q, -q + g + 10 = t*g for q. 5 Let y(u) = 10 - 3*u - 2*u - 7. Let c be y(-7). Let g = c - 12. Solve 4*t - g = -5*p, -t = -p - 3*p + 4 for t. 4 Let p(l) = -2*l + 37. Let n be p(17). Solve 4*c - 4*o - 16 = 0, 0 = -2*c + n*o + 4 + 5 for c. 3 Suppose -3*m + 4*h = -31, 5*m - 50 - 23 = -4*h. Let v = m - 13. Suppose 4*y + y - 2*n = 2, y - n - 1 = v. Solve 3*j + 3*r + 3 = y, -4*j + 5*j + 17 = -5*r for j. 3 Let u(t) = 5*t - 70. Let p be u(14). Solve 0 - 4 = q, p = -2*r - q for r. 2 Let i be (7/((-231)/(-18)))/(9/99). Solve 5*g + 22 = m + i, 4 = 4*m - 5*g for m. -4 Suppose 0 = 26*m - 45*m + 247. Let h be 1 - (0 - 2/2). Solve -m = 2*a + 3*x, -h*a + 3*x + 27 - 10 = 0 for a. 1 Let m = -16 - -88. Let o = m - 28. Let d be 2 - 2/1 - -5. Solve 4*c + 3*n + 15 = 0, -c - o + 19 = d*n for c. 0 Let n(q) = q**3 - q**2 + 3. Let j = -9 - -9. Let t be n(j). Let w be 5/(5/t) + -1. Solve -w*a + 5*x + 7 = 0, -1 = -a - 5*x - 20 for a. -4 Suppose 3*c - 3*g = 15, -5*g = 4*c - 0*c + 7. Let z = 24 - 20. Suppose -s + 3*d = -15, -z*d = 4*s - d. Solve c*i = -5*o - 17, 0*o + s = -o for i. -1 Suppose u = 3*u. Suppose 0 = -4*a - 4*n + 16, -1609*a + 1 = -1608*a - 2*n. Solve p + 14 = -a*s, 5*s + 5*p - p + 35 = u for s. -3 Suppose l = -3*l + 3*l. Suppose l = i + 23 - 28. Solve 2*g + 2*g - 9 = -i*v, -4*g + 4*v = 0 for g. 1 Let o = 40 - 20. Let h be (-1)/(-4) + 95/o. Suppose h*f = 2*g + 10, -17 = 4*g - 5*g - 3*f. Solve r - 5*r = -s - g, -2*r - 5 = -3*s for s. 3 Let j(z) = 7*z + 331. Let o be j(-47). Solve 0 = 3*w, -2*q - o = w + 6 for q. -4 Let g = -44 - -43. Let j be (12 - -14) + (g - 0). Solve -5*d - x + 25 = 0, 4*d + d - j = 5*x for d. 5 Let c(l) be the first derivative of l**3/3 + l**2 - 3*l - 2. Let x be c(0). Let w be ((-9)/(-6))/(x/(-10)). Solve 0 = -4*n - 8, 0*h - 4 = 3*h + w*n for h. 2 Suppose -d + 96 = 15*d. Solve -5*i = 0, 3*u = 3*i - d + 21 for u. 5 Suppose 7 = 5*n - 63. Suppose n*z = 13*z + 28. Solve 5*g - 3*g + 28 = 5*r, 4*g + z = 3*r for g. -4 Suppose 7 = 2*i - i + w, -w = 3. Suppose -4*o - 3*c - 4 = 0, -3*o = -4*c - i - 12. Suppose -4*u + 10 = -o. Solve 3*q - 9 = u*v, 0 = -4*q - 0*q - 4*v + 20 for q. 4 Let r be 12*3*(-2)/(-18) - -1. Suppose -5*x + 16 = 3*c - 7*x, -4*x - 28 = -r*c. Solve 3*i = -c*j - 15, -5 = -0*i + i for j. 0 Let h be 2/8*1 + (-497)/(-28). Suppose -k = 4*z - 9, h = z - k - 4*k. Solve 6*x + p - 14 = 2*x, -x - z*p - 2 = 0 for x. 4 Let s be 32/80*(-230)/(-4). Let j be 28/70 - s/(-5). Solve 19 = j*g - 4*p, 2*g + 2*p - 5*p - 9 = 0 for g. 3 Let d(p) = 5*p - 52. Let c be d(12). Suppose 2*r + 36 = c*r. Solve h = -q, 0 = -3*h - r - 6 for q. 4 Let q be (0/3)/(6/(-2)). Let i = q - 2. Let h be (-42)/(-8) + i/8. Solve h*p - 2*p - 21 = -5*x, x + 1 = 2*p for p. 2 Let a(q) = 2 + 0*q - 2*q - 6*q - q. Let c be a(2). Let w = -11 - c. Solve -3*t - 5 = -3*b + 7, -b = -w*t - 20 for b. 0 Suppose 3*o - 12 = o + c, -3*c + 19 = 5*o. Solve 5*q + o*r + 23 = 4*r, -14 = 4*q + 3*r for q. -5 Suppose -9*b + 175 = 166. Solve -3*h + 5*l - b = 3, 5*l = 4*h + 2 for h. 2 Let y(n) = n**2 - 6*n + 10. Let x be y(6). Let i = 10 - x. Suppose 6*r + 4 = 8*r. Solve i = r*o - 3*t + 19, o = -2*o - 2*t - 9 for o. -5 Suppose 0 = -2*n - k + 12, 4*n - 15*k = -13*k + 8. Solve n*s - x - 24 = 0, -5*s - 4*x + x + 13 = 0 for s. 5 Let m = -7 + 11. Suppose 25*h = 106*h + 660 - 984. Solve 3 = 5*u + 3*a, 6*u - h*a = 3*u - m for u. 0 Suppose -31*n - 5*u - 20 = -32*n, 4*n = -3*u + 11. Solve 0*s + 2 = -2*s + 2*c, n*c - 29 = -s for s. 4 Let o(u) = -2*u - 3. Let f be o(-4). Suppose -2 = f*p - 12. Suppose r = p - 0. Solve -y - 6 = -0*y - r*c, -y = -3*c + 9 for y. 0 Let i(c) = -5*c + 13*c - 4*c - 8 + c**2. Let g be i(-6). Solve 2*a - 14 = -g*x, -2*x + 6*x - 26 = 2*a for x. 5 Suppose -5*h + 17 = -4*u - 10*h, -2*u = -h - 9. Solve 2*v = -2*k - 2, -4*k + 0*v + 4 = u*v for k. 3 Let s(t) = t - 12. Let m be s(15). Suppose o = -m*o. Let z be 0 - o/(4 - 2). Solve 2*h + 4*q + 10 = 0, 3*h + 5*q + 11
{ "pile_set_name": "DM Mathematics" }
ose -6*n = -5*n - 529. Suppose -2*z = 11 - n. Is z composite? True Let h = 93 - 2. Is h prime? False Let h(x) be the second derivative of -x**5/20 - 7*x**4/12 - x**3 - x. Let l be h(-6). Suppose l = -s - 0*s + 39. Is s a prime number? False Suppose 0*z = 3*z + 3. Let l be 0 + 0 - z*473. Suppose -3*n = -l - 142. Is n a prime number? False Let t(m) = m - 3*m - 6*m - 3. Let n be t(-4). Suppose -5*d = -n - 46. Is d composite? True Suppose -2*a + 2 = 3*v, v + a - 1 = -0*v. Suppose -4*k = -3*k - 3*b - 3, v = -3*b + 3. Is k prime? False Suppose d - 5 = 0, 923 = 4*v + 2*d + d. Suppose f - 281 = v. Suppose -3*p = -7*p + f. Is p prime? True Suppose -4*z - 398 = 62. Suppose h + 1019 = -5*b, b - 5*h = -2*h - 207. Let r = z - b. Is r composite? False Let b(o) = 2*o - 6*o + o**2 + 3 - 2*o. Let f be b(6). Suppose -216 = 4*p - 7*p + f*a, -p + 52 = -5*a. Is p composite? True Let t(a) = a**3 - a**2 - a + 77. Let r be t(0). Suppose -b - r = -2*b. Is b composite? True Let l = -424 + 1211. Is l prime? True Let a(o) = -68*o - 5. Let i be a(-5). Let u = -124 + i. Is u a prime number? True Suppose -10*q = -7*q - 2181. Is q a composite number? False Suppose -4*j + 444 = 88. Is j a prime number? True Suppose b - 2*b = -g - 1, 0 = 5*b + 5. Let c = -6 - g. Is 4/(-2)*158/c prime? True Let p = 0 + 6. Let w = -3 + p. Is w composite? False Let c = 8781 - 788. Is c composite? False Suppose 0 = -6*h + 4*h + 6. Suppose 2*r = 5*c - c - 26, 0 = -5*c + h*r + 32. Is c prime? True Suppose o - 3 = j, -5*o - j = 2*j - 31. Is (0 + 2 - o) + 80 a composite number? True Suppose -4*y + 4*m = -308, -3*m - 144 = -4*y + 169. Is y a prime number? False Let c(y) be the third derivative of -y**4/4 - y**3/2 + 2*y**2. Is c(-6) composite? True Let x = 502 + 335. Suppose -89 = 4*y - x. Is y composite? True Let r(d) = 4*d + 9. Let m(i) = i + 2. Let z(g) = -9*m(g) + 2*r(g). Let t = -14 - -8. Is z(t) a composite number? True Let c = 47 + -28. Is c a prime number? True Let z(x) = 2*x**2 + x**2 + 5 - 4*x**2. Let d be z(0). Is 0 - (-26 + -2 + d) a composite number? False Let d be ((-2)/4)/(4/472). Let o = 94 + d. Is o a prime number? False Suppose -694 = 18*s - 20*s. Is s composite? False Let h = 905 - -750. Is h a prime number? False Suppose 10*m - 326 = 264. Is m composite? False Is (-78)/(-12) - 6 - (-633)/2 prime? True Suppose 3*h - 5*h + 502 = 0. Is h a composite number? False Let k(i) = -7 + 2*i - i**3 + 4*i**2 + 4 + 5*i**2. Is k(8) a prime number? False Let x be (2/1)/(-1 + 2). Suppose -4*m = -2*q - 4, -2*m + m + q = -x. Suppose -y + m*y = -127. Is y a composite number? False Suppose -x + 8*x - 273 = 0. Is x a prime number? False Let f(s) = -233*s**3 + s**2 + s. Is f(-1) a composite number? False Let x(c) = -4 + 3 + 0 + 3*c - 4*c. Let i be x(-5). Suppose -75 = -5*b + 2*o + 36, 0 = -i*o + 8. Is b composite? False Let l(g) be the first derivative of g**4/4 + 8*g**3/3 - 3*g**2/2 - 4*g - 2. Let s be l(-8). Let x = -1 + s. Is x a composite number? False Suppose -14692 = -17*d + 3345. Is d a composite number? False Suppose -5*h + 3 = -3*m, 3*h - 2*m = -4 + 5. Is (-1)/h - 924/(-18) a composite number? True Suppose 141 = 3*u - 0*u. Let f = 102 - u. Is f a prime number? False Suppose 0 = -4*d + 3*f - 5*f + 230, -5*f - 223 = -4*d. Suppose 3*t - d = -2*v, -2*t - 2*t + v + 87 = 0. Is t a composite number? True Let w(q) = 21*q + 2. Let y(p) = 11*p + 1. Let c(j) = 3*w(j) - 5*y(j). Is c(3) a composite number? True Let y = 2261 - -242. Is y a prime number? True Is (-1)/(-3) - (-45640)/42 a composite number? False Let v(t) = -t**2 + t + 1. Let u(w) = 23*w**2 + w + 4. Let z(r) = u(r) - 3*v(r). Is z(1) a prime number? False Let s = 93 + 35. Let r(f) = 75*f**3 + f + 1. Let h be r(-1). Let m = h + s. Is m a composite number? False Is (-1 - -3) + 150/2 a composite number? True Suppose -2*h + 63 = -383. Is h composite? False Suppose -1 = n, 5*d - 6*d + 2*n + 60 = 0. Let u = 18 + 95. Let a = u - d. Is a composite? True Suppose -p = 2*f + 5, 4*f - 4*p = f - 2. Is (-22)/((f - 0)*1) composite? False Let w(i) = -i**2 - i - 1. Let q(z) = 6*z**2 + 10*z - 3. Let a(o) = -q(o) - 5*w(o). Let m be a(-6). Suppose 4*n = -4*l + m*l + 454, 0 = 5*l - 5. Is n prime? True Let j = 13 - 13. Suppose 0*b - 4 = -2*b. Suppose 4 = b*x - j. Is x prime? True Let r(w) = -w**3 - 7*w**2 - 7*w + 9. Is r(-8) a composite number? True Let b be ((-2)/4)/((-3)/(-18)). Let k(d) = -3 + 3 + 1 - 18*d - 2. Is k(b) composite? False Let s(v) = v**3 + 10*v**2 + 7*v - 8. Let h be s(-10). Let k = h - -225. Suppose 3*t - 6*t = -k. Is t prime? False Let r(y) = 9*y - 10. Let f = -18 - -25. Is r(f) a composite number? False Suppose -3*p - 3*j + 17 = 2*j, -35 = -3*p + 4*j. Suppose 67 - p = d. Is d prime? False Let g(l) = 0 - l + 0 + 0*l + 2. Let h be g(-4). Is 410/h + 8/12 a composite number? True Suppose 0*y = -3*b - 2*y + 75, 5*y - 38 = -b. Is b a prime number? True Is 4/18 - 676/(-36) a prime number? True Suppose 0 = 3*r + 9, 2*r = -2*t + 117 + 559. Suppose 3*b + 4*x - 247 = 0, -b - 3*x = 3*b - t. Is b composite? False Suppose 0 = -4*o + 2*t + 230, 2*t + 2*t = 4*o - 240. Let x = o - -238. Is x a prime number? True Suppose -2*m - m = -15. Suppose 3*n - 1 = -w, 0 = -4*n + 2*w - 2 - 10. Let v = m - n. Is v prime? False Suppose b - 2*b = -1. Is 2*b - (-5)/1 a composite number? False Let s = 6 - -3. Is (-2)/6*(-240 - s) a prime number? True Suppose 2*p = 3*p + 5*b - 547, 4*p - 4*b = 2236. Is p a composite number? False Let y = 50 - -141. Let h = y - 124. Is h prime? True Suppose 4*l = -f + 2795, 3*l + 3 = 15. Is f composite? True Let v = 5720 - 3115. Is v prime? False Suppose -3*b - 4 = -4*f, -3*b - f + 2 = f. Suppose b = 2*v - 4. Suppose 0 = v*s - 0*s - 38. Is s prime? True Suppose -2*j = 5*y - 740, y + 2*j - 175 + 19 = 0. Suppose -5*t + 190 = 5*z, -2*t = -4*z - 0*z + y. Is z prime? True Let h(m) be the second derivative of m**5/20 - m**4/3 - m**3/6 - 7*m**2/2 + m. Is h(5) a composite number? False Let f be (-33160)/(-14) - (-24)/(-42). Suppose 5*k - f = -4*t, 4*t - 1680 - 672 = -k. Is t a prime number? True Suppose 0 = -h + 1 + 1. Suppose 5*y = -h*i + 38, 3*i - y = 2*i + 19. Is i a composite number? False Let j = -373 + 186. Let c = j - -341. Let m = c - 101. Is m composite? False Let h(w) = 8*w - 3. Let b(v) = -16*v + 6. Let o(t) = 2*b(t) + 5*h(t). Is o(3) a prime number? False Let m = 637 - -94. Is m composite? True Let s(x) = -x + 11. Let z be s(6). Suppose 0 = y + 2*b + 1 + 15, 0 = z*y + b + 71. Is (y - -1)*(-2)/2 composite? False Let b(u) = 49*u + 41. Is b(12) a prime number? False Let v(d) = -66*d + 11. Is v(-6) composite? True Suppose -2765 = 4*y - 9*y. Is y a prime number? False Suppose -3*c - d - 5 = c, 2*c = -5*d - 7. Let z be (c - 9*-1)*16. Let l = z - 63. Is l prime? False Is 4194 - (-1 - 6/(-3)) a composite number? True Let w be 15 + 2 + (-1 - 0). Suppose 0 = -3*t - p + 67, 4*t = -p - 34 + 124. Let g = w + t. Is g composite? True Let n(g) = -2*g + 3*g**3 + 3 - 2*g**3 - g. Suppose -4*d = 5*s - 12, -3*s - 3 + 12 = 3*d. Is n(d) composite? True Let c = 403 - 241. Suppose -183 = -3*k + c. Is k a prime number? False Suppose -2*w + 0*w - 4 = z, 10 = -5*w + 5*z. Suppose 3*x + 4 = 2*x. Is x/2 + (-22)/w prime? False Suppose -3219 = -2*j - j. Is j prime? False Let x(m) = -m**3 + 4*m**2 - 5*m + 1. Is x(-6) a prime number? False Suppose 482 = 3*n - n. Let h = 400 - n. Is h a prime number? False Suppose w = -4*m + 639, -4*w + 2516 = -2*m - 2*m. Is w a prime number? True Let r(l) = -l**3 + 6*l**2 - 2*l - 1. Let a(b) = -b**3 + 3*b**2 + 2*b - 2. Let f be a(3). Suppose -f = 4*w - 20. Is r(w) a composite number? False Let u(p) = -2*p**3 - 16*p**2 + 20*p + 11. Let l be u(-14). Is l/4 - (-5)/20 composite? False Suppose 3*v + v = -2*c - 104, 5*v = 20. Let l = 117 + -215. Let f = c - l. Is f composite? True Suppose -i = 2*i + 3*c - 15, -2*i = -c + 2. Let r = 10 + i. Is r prime? True Let v = -3 - -4. Let g(i) = 4*i**3 - i + 1. Let c be g(v). Suppose -2*y + 72 = c*d - d, 2*d + 199 = 5*y. Is y a prime number? False Let y(t) = t**3 - t**2 + t + 2. Let l be y(0). Let m be 523/5 - l/(-5). Let j = m + -28. Is j prime? False Let c(y) = 17*y**2 + 5*y + 5. Is c(-4) a composite number? False Suppose 7*j = -4*j + 10637. Is j composite? False Let f = 411 + -157. Is f a composite number? Tr
{ "pile_set_name": "DM Mathematics" }
7 - r. Suppose -a - 1 + 5 = 0. Solve a*s + c = -13 for s. -5 Let i = -75 + 78. Solve 0 - i = -3*o for o. 1 Let c(i) = -i**3 + 3*i**2 + 4*i. Let k be c(4). Let m(g) = g - g**2 - 5*g + 6*g. Let w be m(2). Solve k = -3*f - w*f + 3 for f. 1 Suppose 0 = 5*a + 25, 2*m - 5*a - 27 = m. Suppose 0 = -5*s - m*q + 22, -4*q + 1 = -4*s + 13. Suppose -9*p + 32 = -p. Solve -p = s*z - 16 for z. 3 Let a(i) = 2*i**2 - i - 2. Let k be a(2). Suppose 0 = -k*p, 40 = 5*t - 4*p + 3*p. Suppose 0*y = y - 4. Solve 0 = -t*d + y*d for d. 0 Suppose 0 = 2*v + 3*p - 4, 0 = -0*p - 3*p. Let f(u) = 3*u + u + 1 + 1. Let m be f(2). Solve 4*n = v + m for n. 3 Let z(x) = 2*x. Let t be z(7). Suppose k = -k, 5*d - 25 = 5*k. Solve 6 = -d*b - t for b. -4 Let c be 6*(-1 - 4/(-3)). Suppose -s = -c*s - 4. Let z be (1 - 0)*(1 - s). Solve -2*d = -z*d for d. 0 Let g = -101 - -103. Solve g*q - 7*q - 5 = 0 for q. -1 Let m = 11 + -7. Solve m*f + f = -20 for f. -4 Let d(z) = 2*z - 2. Let v be d(2). Let a be v*(-3)/24*-4. Let n be a + 1 + (-4 - -2). Solve n + 5 = -o for o. -5 Let u be (-4)/(-4) + -3 - -6. Solve -9 - 11 = u*h for h. -5 Let u = 26 - 18. Let m be u*(3 + 0/2). Let b = 44 - m. Solve -2*j + b = 3*j for j. 4 Suppose 4 = 5*u + 14. Let x be ((-4)/(-12))/(u/(-24)). Solve -x*g - 12 = -7*g for g. 4 Let d be ((-4)/(-6))/((-2)/36). Let t = -9 - d. Solve 4*r = t*r for r. 0 Suppose -3*y - 5*v = -26, 0 = -2*y + 3*v - 2*v. Suppose -4 + 3 = -q. Solve -y = w + q for w. -3 Let d be -4 - (-2 - -4 - 0). Let r be 2*(-8)/6*d. Let y(m) = m. Let v be y(3). Solve -v*g + 4 = r for g. -4 Let z = -1 + 1. Suppose -2*q = -0*q. Let c(a) = -a**3 - a**2 - a + 2. Let s be c(0). Solve z = y - q - s for y. 2 Suppose -4*h = -o - 79, -5*h - 5*o = 38 - 143. Suppose -2*p - 3*p = -h. Solve -n - p*n = 10 for n. -2 Let g(o) = -o**2 - 6*o + 2. Let a be g(-6). Suppose -w = -a*l - 6, -4*w + 3 = -3*l - 6. Solve d - 4*d - 6 = w for d. -2 Let n = -12 - -25. Suppose -4*v = -3*i + 32, 2*i - 4*v - n = -3*v. Let m be 4/16 - (-11)/i. Solve -2*z = -3*z - m for z. -3 Suppose 0 = 3*g, -5*g + 6 = 3*j - 4*g. Suppose 4*k + j*s - 7*s = 66, 5*s - 29 = -k. Suppose -k = 3*f - 5*h, 3*f - 2*h = -0*h - 4. Solve 2 = -4*i + f*i for i. -1 Let y be ((8/(-1))/(-2))/(-1). Let n be (2/y*4)/(-2). Solve n = -2*g - 1 for g. -1 Let k = 19 - 15. Solve k*s = 16 - 0 for s. 4 Let v(r) = 6*r - 22. Let m be v(4). Solve -m*d + 0*d + 2 = 0 for d. 1 Let d = 5 + -5. Suppose -3*u + 3*k = -30, -6*u + u + 2*k + 50 = d. Suppose -3 - 5 = 3*h - 5*p, -2*h + 20 = 3*p. Solve u = -h*b - b for b. -2 Let i be -3 - 0 - (-4 + -3). Solve -2*k = -i*k for k. 0 Let x(q) = -17*q**3 - q. Let t be x(-1). Suppose -2*r + 15 = 5*w - 8*w, 3*r = -2*w + 3. Suppose -2*j = -3*j. Solve -5*o - r + t = j for o. 3 Let s = -12 - -18. Solve 2*o = -o - s for o. -2 Suppose 4*u - 5*u + 6 = 0. Let x(m) = m**3 - 8*m**2 + 6*m + 9. Let n be x(7). Suppose u = 4*o - 5*t, o - 2 = -n*o + 5*t. Solve -o*d - d = -20 for d. 4 Let c = 36 + -34. Solve -4 + 0 = c*y for y. -2 Let a(f) = -f**2 - 6*f + 2. Let h be a(-3). Suppose 5 = 5*s, 3*s + s = 5*i - h. Solve 4*k - 15 + i = 0 for k. 3 Suppose 0*a + a = 0. Let n = 17 - 9. Solve 2*j + n + a = 0 for j. -4 Let k = -33 - -45. Let m be -10*(-2)/4*1. Suppose 2*x - k = -m*h, 2*h + 3 = 3*h + x. Solve -6*n = -h*n - 8 for n. 2 Suppose -5*j + 25 = -5*p, j - 25 = -j + 5*p. Let v = j - -7. Solve v - 27 = 5*k for k. -4 Let j be ((-48)/32)/((-3)/8). Let x be (-396)/(-10) - 2/(-5). Suppose 4*r + 3*f = 68, 4*f + x - j = r. Solve 6*m - 2*m = r for m. 5 Suppose 3 = -3*m - 0*m. Let z be 2*m*-1 + 18. Let j = z + -10. Solve 2*a - j = -0*a for a. 5 Let g = 31 - 28. Solve -g = 3*v - 4*v for v. 3 Let i = -4 + 7. Suppose -4*k = 5*b + 20, -1 = -4*b + i*k + 14. Solve g + g = b for g. 0 Let f(w) = -3*w + 22. Let o be f(7). Solve -o = -5*g - 21 for g. -4 Let s = -6 - -16. Solve -s = -4*n + 10 for n. 5 Suppose 3*w + 2*f = 6, 10 = -0*w + 5*w + 5*f. Solve 3*r = -w*r for r. 0 Suppose -3*y = -14 - 7. Suppose 0 = g - y. Let w = -4 + g. Solve w*h = 4*h - 4 for h. 4 Let j(x) = -x**2 - 2*x + 4. Let t be j(0). Solve 0*f = f - t for f. 4 Suppose 2*v = -2*v + 32. Let u(y) = y**3 + 12*y**2 + 10*y - 6. Let s = -24 - -13. Let w be u(s). Solve -a + w*a = v for a. 2 Let r = 3 + -3. Let c be (2 - 2)*(1 - r). Solve c = o - 2*o for o. 0 Suppose -3*n + 3*s = -s - 120, 2*n - 78 = 2*s. Let o(a) = 6*a + 4. Let q be o(-5). Let g = n + q. Solve -3*j = -4 + g for j. -2 Suppose 3*i - 2*z = 5, 2*i + 5*z = 5*i + 1. Solve -k = -i*k + 2 for k. 1 Let l be -1 + -2 + 1 - 5. Let f(n) = -2*n - 10. Let p be f(l). Suppose -p*s = -3*z - 15, 0*s + 5*z = s - 25. Solve s = -5*b - 13 - 2 for b. -3 Suppose 7*l = 8*l. Solve -5*k = -5 - l for k. 1 Suppose 0 = 4*i + 5*z - 26, 5*i - 8 = 2*z + 8. Solve i*v - 3 = 9 for v. 3 Let a(i) = 2*i**2 - 4. Suppose g = -3*k - 8, -3*k - 1 = -k + 5*g. Let o be a(k). Let m be (-2)/4 - (-10)/4. Solve m - o = -3*s for s. 4 Let y(k) = -k**3 - 7*k**2 - 8*k - 7. Let g be y(-6). Suppose 2*m - 1 = 7. Solve 1 = g*f - m for f. 1 Suppose -4*s + 2 = 2*v, 3*v = 4*v - s - 4. Let z = -9 + 14. Let u be 22/z + 2/(-5). Solve q + v*q = -u for q. -1 Let z = -8 - -18. Solve -z = -7*s + 2*s for s. 2 Let i = 26 + -22. Solve -i = 4*q - 5*q for q. 4 Let i be 255/(-8) + (-1)/8. Let s be 2/(-4) - 112/i. Solve t + s = -2*t for t. -1 Suppose m + 2*m = 2*x + 83, m - 41 = -2*x. Let i = -15 + m. Solve -d = 3*d - i for d. 4 Let p(h) be the third derivative of h**6/20 - h**5/60 + h**4/24 - h**3/6 - 2*h**2. Let y be p(1). Let q be 3 - (-4 + 3 - -2). Solve -w + q - y = 0 for w. -3 Let m(l) be the first derivative of -l**2 - 2. Let h be m(1). Let k be h/4*(-1 - -1). Solve 5*w - 3 + 8 = k for w. -1 Suppose -2*l - 8 = -2*j, j + 2*l + 2*l = 9. Solve 4*a - j = -17 for a. -3 Suppose -p = -5*m + 83, 3*m - 2*p + 14 - 68 = 0. Let w = 642 - 640. Solve -m = -w*a - 2*a for a. 4 Let b be 1 + (2 - 0) - -17. Solve b = 2*g + 3*g for g. 4 Let a(w) be the third derivative of 5*w**2 + 0*w + 0 + 1/3*w**3 - 1/120*w**6 + 0*w**5 - 1/24*w**4. Let z be a(0). Solve 3*y = y - z for y. -1 Suppose 0 = 4*a + a - 60. Suppose -a = -2*c + 4*c. Let i = 8 + c. Solve i*q = -q - 9 for q. -3 Let g(b) be the third derivative of -b**6/120 - b**5/12 - b**4/12 - b**3/3 + b**2. Let w = -24 + 19. Let n be g(w). Solve 0 = l + l - n for l. 4 Let j = -13 - -7. Let s = j - -8. Solve s*d - 5*d = 0 for d. 0 Let b(a) = 9*a**2 - a. Let s be b(-1). Let g(u) = u + 7 + 9 - 7 + 5. Let q be g(-10). Solve 10 + s = q*x for x. 5 Suppose 3*l - r - 12 - 7 = 0, 37 = 5*l - 3*r. Suppose -13 = -l*q - 0*t + t, t + 7 = 3*q. Solve -z + 8 = -q*z for z. -4 Let r = 15 - 10. Solve -k + 1 = r for k. -4 Suppose 2*s - 3*g - 22 = 0, -4*g = 5*s - 7*g - 37. Suppose z - 2*z = -s. Suppose -2*q + z - 1 = 0. Solve q*i = 6*i + 12 for i. -3 Let t = -45 + 40. Let d = 0 + -5. Let b = d - t. Solve -2*y - 12 + 4 = b for y. -4 Suppose 4 + 6 = 2*d. Solve -d*c + 3*c + 4 = 0 for c. 2 Let p = 4 + -1. Let c be 4/(-8)*(-1 + 1). Let w = 2 + c. Solve w*l + 5 = -p for l. -4 Let h be (-2)/(-4) + 77/22. Solve 5 = -h*q + 3*q for q. -5 Suppose -2 = -5*m - y, 4*y + 0 = -m + 8. Let u(r) = -r**2 - r. Let d be u(m). Solve f + 5 = -d for f. -5 Let p(u) = -u**2 - 9*u + 7. Let k = 0 + -9. Let c be p(k). Solve -3*h + 12 = -c*h for h. -3 Let x(i) = -4*i**3 + 1. Let l be x(-1). Solve 0 = -0*k - k - l for k. -5 Let y(f) = -8*f**2 - 5 - 10*f - f**3 - 8 + 3. Let l be 8/20 - (-74)/(-10). Let n be y(l). Solve n + 14 = 5*i for i. 5 Let w(v) = -v - 2. Let k be w(-6). Solve 0 = -2*x - 0 + k for x. 2 Let y(a) = -3*a - 2. Let s be y(-2). Solve -s = -3*g + g for g. 2 Let x = 25 - 9. Let o = -16 + x. Solve o = 3*v - 7*v + 8 for v. 2 Let u(b) = 8*b + 1. Let n be u(-1). Let d(a) = 2*a. Let w be d(n). Let p be 7/w*0/(-2). Solve p = 2*y - y + 5 for y. -5 Let l(g) = -g**2 - 3*g + 5. Let t be l(-4). Let o(j) = 1 - 2*j + 3*j**2 - 4*j**2 + 3*j**3 - j**2 + 3*j**2. Let a be o(t). Solve -a*v - 1 = 8 for v. -3 Let s = 18 + -7. Let f be (-24 + 23)*0/1. Suppose f = -3*a + 1 + s. Solve 18 = a*j - 2 for j. 5 Let v = -1 - -1. Let h be (1 + v)/((-7)/(-14)). Solve -2*m - 20 = h*m for m. -5 Let y = -1 + 3. Let u be 0 - (3 - y)*0. Solve 5*g + 0 + 25 = u for g. -5 Suppose 3*p + 9 = -2*y - 2*p, -2*p + 3 = 3*y. Solve 6*l + 9 = y*l for l. -3 Let j = 11 - 5. Solve 2*w + 12 = j*w for w. 3 Suppo
{ "pile_set_name": "DM Mathematics" }
e -5*j - 13 + 138 = 0. Calculate the greatest common factor of 5 and j. 5 Let j = 35 + -26. Calculate the greatest common factor of j and 3. 3 Let a be 12/1 + (1 - 1). Let s be ((-36)/(-8))/((-9)/(-60)). What is the highest common divisor of a and s? 6 Suppose 2*m + 0*m = 2. Suppose 3*s = 19 - m. Suppose -s*q + 90 = -q. Calculate the highest common divisor of 27 and q. 9 Let i be (6 - 5)*-7 + 43. Let v be 1*-17*-1 - -1. Calculate the highest common factor of v and i. 18 Let f be (5 - 1)*(-2)/(-2). Suppose -1 = -f*i + 3. What is the highest common factor of 2 and i? 1 Let m be ((-9)/2)/((-18)/168). Let a = m + -18. What is the greatest common factor of a and 12? 12 Suppose 20 = 2*c + 2*c. Suppose 2 = 4*m - 3*m. What is the greatest common divisor of c and m? 1 Let b be -9*(3 + (-46)/6). What is the highest common factor of b and 105? 21 Let m = 17 - -28. Let x be (10/8)/(8/32). Calculate the highest common divisor of m and x. 5 Let n be 3*(-104)/(-60)*55. What is the greatest common factor of 26 and n? 26 Let w(k) be the first derivative of 5*k**2/2 + 2*k + 1. Let b be w(2). Let t = 308 - 176. What is the greatest common divisor of t and b? 12 Suppose m = 4*l - 20, 3*l = -4*m + 1 - 5. Let z(c) = 6*c**3 - c - 1. Let y be z(1). What is the greatest common factor of l and y? 4 Let f = 1 + 5. Let b be (-2 - f)*(-2)/4. Suppose -68 = -4*a + 3*r, -5*a - r + 85 = -b*r. What is the highest common divisor of 34 and a? 17 Suppose -760 = -4*r + 2*a, 0*r - 784 = -4*r - 4*a. What is the greatest common factor of r and 24? 24 Let u = -15 + 6. Let n = u - -7. Let p be 13 - (1 + 0 - n). Calculate the highest common divisor of 25 and p. 5 Suppose -5 = -m - 0*b + 2*b, m = -2*b + 1. Suppose k + m*k = 0. Suppose k = 2*g - g - 21. Calculate the greatest common factor of 14 and g. 7 Let v(w) = w**2 + 2*w + 1. Let o be v(-3). Suppose -5*m - a = -133, o*m - a = 31 + 79. Suppose 0 = -k + 4 + 5. What is the highest common factor of k and m? 9 Suppose x - 2 = 4*j + 11, -16 = -2*x + 3*j. Suppose -g = -2*d - 69, 0*g + g = x*d + 69. Calculate the highest common factor of g and 23. 23 Let m(f) = -1 - 3 + 10 - 2*f + 2*f**2 - 6*f. Let v be m(6). Suppose 0*h - v = -2*h. What is the highest common divisor of h and 15? 15 Let x(q) = -2*q**3 - q**2 + 1. Let s be x(1). Let v be 13 + -5 - s/(-2). What is the greatest common divisor of v and 77? 7 Suppose 4*u - 115 = -u. Calculate the highest common divisor of 23 and u. 23 Suppose -5*z = -0*z - 15. Suppose -z*q = q - 56. What is the greatest common factor of q and 42? 14 Suppose -2*q - 3*m - 4 = -4*q, q - 5*m = -5. Suppose 0 = -q*u + 41 - 11. Calculate the greatest common factor of u and 2. 2 Suppose -4*n = -29 - 67. Calculate the greatest common factor of n and 12. 12 Let j(b) = -b**2 - 3*b + 80. Let v be j(0). Calculate the highest common divisor of 10 and v. 10 Let i(n) = 2*n**2 - n. Let k be i(-3). Let j be ((-4)/(-6))/(2/k). Let r = 18 - j. Calculate the highest common divisor of 22 and r. 11 Suppose -16 = -0*s - 2*s. Suppose -s = 5*c - 88. Calculate the greatest common divisor of 4 and c. 4 Let i(c) = 6*c - 10. Let f be i(11). Calculate the highest common factor of 8 and f. 8 Let v be (2/(-6))/((2 + 1)/(-54)). What is the greatest common divisor of v and 18? 6 Suppose 2*a + 72 = 5*a. Let z(g) = -g**3 + 7*g**2 + 7*g + 11. Let j be 39/5 - (-3)/15. Let v be z(j). What is the highest common factor of a and v? 3 Suppose -4*n + 3*n = -60. Let h = 8 - -7. What is the highest common factor of h and n? 15 Let f(y) = y. Let s be f(7). Calculate the greatest common divisor of s and 42. 7 Suppose -2*c = 2*q + 10, 2*c + 5 + 2 = -5*q. Let z be (20/c)/(26/(-117)). What is the highest common divisor of z and 5? 5 Suppose -2*o - 3*h + 92 = 0, 0 = o + 4*o + 5*h - 230. Let x = -6 + o. Let n = 17 - 7. What is the highest common factor of n and x? 10 Let m be 4/(-18) - 202/(-18). Let l = m - -3. Let a be (124/(-24) - -4)*-18. Calculate the greatest common factor of a and l. 7 Suppose -5*c + 84 = 5*a - 301, 3*c = 2*a - 129. Let p be (-91)/(-2) - (-6)/(-12). Suppose 0*f - p = -5*f. What is the greatest common divisor of f and a? 9 Suppose 0*u - 150 = -3*u. Let g = 3 + -7. Let c(w) = -4*w - 6. Let r be c(g). Calculate the greatest common factor of r and u. 10 Suppose 5*z - z - 36 = 0. Suppose 0 = 2*c - 2*w - 14, 0 = -c + 2*w + 4 + 1. Let s be (c/(-2))/(3/(-24)). Calculate the highest common factor of z and s. 9 Let g = 90 + -18. Suppose 2*x - g = -x. What is the greatest common divisor of 12 and x? 12 Let i(a) = -11*a**3 + a + 2. Let u be i(-1). What is the greatest common factor of 48 and u? 12 Let d(g) = 4*g - 2. Let r be d(1). Suppose r*x - 10 = 18. Let s(l) = -19*l**3 - 2*l - 2. Let v be s(-2). Calculate the highest common divisor of v and x. 14 Let u = 25 - 17. Calculate the highest common divisor of u and 8. 8 Let v be 15/9*1*3. Suppose -v*w = 0, -w - 172 = -5*j + 53. Suppose -2*u - 3*u = 3*o, 4*o - 8 = -4*u. Calculate the greatest common divisor of o and j. 5 Let f = -55 - -93. What is the highest common factor of 95 and f? 19 Let r(l) be the first derivative of -7*l**2/2 - 2*l + 1. Let t be r(-2). What is the greatest common factor of t and 12? 12 Suppose 4*i + 60 = 4*a - 24, 2*a + 5*i - 42 = 0. Let v be a/(2*(-2)/(-4)). Calculate the greatest common factor of 42 and v. 21 Suppose -2*r - 8 = -32. Suppose -i = -r - 8. What is the greatest common divisor of 20 and i? 20 Suppose 0 = 2*i - 6 - 20. Calculate the highest common divisor of 221 and i. 13 Suppose 3*z - 3*a = 60, 4*z - 62 = -3*a - 3. Let t be 2 + -7 - ((-286)/2 + 2). What is the greatest common divisor of z and t? 17 Let r = -27 + 78. Calculate the highest common factor of 34 and r. 17 Let j be (-2 - -1) + 8*1. Let f(z) = 5*z + 2. Let g be f(-2). Let p = 20 - g. What is the highest common divisor of p and j? 7 Suppose -3*f - t + 72 = -0*f, -f = 2*t - 24. Suppose -2*r - 12 = -5*r. What is the greatest common divisor of f and r? 4 Let q be ((-3 - -10) + -1)/1. Calculate the highest common factor of 3 and q. 3 Let w be (-10)/55 - (-2)/11. Suppose 0*t - t + 3 = w. Let s be -3 + 1 + t + 0. What is the greatest common divisor of 11 and s? 1 Suppose -3*m + 2 = -4. Suppose -16 = -2*o - m*o. Suppose 704 = o*x + 4*d, -d = -2*x + 3*d + 376. Calculate the highest common divisor of 18 and x. 18 Suppose 0 = -2*j - 2*j + 4. Let y be 1 + 0/(-1) + j. Suppose 0 = -y*a + a + 7. Calculate the highest common factor of 28 and a. 7 Let n(z) = 10*z + 12. Let a be n(6). What is the highest common divisor of 18 and a? 18 Suppose 72 = 23*m - 22*m. Calculate the highest common factor of m and 24. 24 Let x(i) = -i**3 - 15*i**2 + 9*i - 12. Let w be x(-16). Calculate the highest common divisor of w and 20. 20 Suppose -r = y - 6 + 17, -5*r + 57 = -3*y. Let a be ((-4)/y)/(4/28). Suppose -z = -3*z + a. What is the greatest common divisor of 2 and z? 1 Let q(w) = 3*w - 4. Suppose -20 = 4*p, 5*j + p = 28 + 7. Let f be q(j). What is the greatest common divisor of f and 8? 4 Let d(y) = -23*y + 2. Let q be d(-6). Suppose -6*k - q = -k. Let s = 43 + k. What is the greatest common factor of s and 6? 3 Let z(h) = h**2 + 2*h + 99. Let x be z(0). Calculate the highest common divisor of 9 and x. 9 Let l(j) = -2*j + 27. Let b be l(8). Calculate the greatest common factor of b and 11. 11 Let d be -7 - (-1 - 2) - -2. Let z be (-19 + 5)/(1*d). What is the greatest common factor of z and 28? 7 Let s(n) = 3*n**2 + 2*n + 4. Let b be s(-3). Let t be (-8)/24 + (-91)/(-3). Let p = 95 + t. Calculate the greatest common divisor of b and p. 25 Let c(b) = b**2 + 7*b - 1. Let s be c(-8). Calculate the greatest common divisor of 84 and s. 7 Suppose -z - 2*n + n + 107 = 0, -4*z - 2*n = -430. Calculate the greatest common factor of 12 and z. 12 Let y(f) = -f**2 + 17*f + 28. Let x be y(18). What is the greatest common divisor of x and 10? 10 Suppose 150 = 2*k + k. Calculate the highest common factor of 10 and k. 10 Let k(w) = -4*w**3 - 3*w**2 + 2. Let j be k(-2). Let g = j + 40. Let z = 90 - g. What is the greatest common divisor of z and 4? 4 Suppose s + 19 = -3*k + 2, 0 = -3*s + 2*k - 18. Let v = s + 23. What is the highest common divisor of 6 and v? 3 Let m be (107/7)/1 - 6/21. What is the highest common factor of m and 10? 5 Let k be (-1)/(-
{ "pile_set_name": "DM Mathematics" }
ny minutes are there between 12:43 AM and 2:21 AM? 98 What is 194 minutes after 1:37 AM? 4:51 AM What is 709 minutes before 1:15 AM? 1:26 PM How many minutes are there between 1:22 PM and 8:02 PM? 400 How many minutes are there between 10:21 PM and 9:42 AM? 681 How many minutes are there between 3:17 PM and 1:42 AM? 625 How many minutes are there between 8:41 AM and 9:41 AM? 60 What is 115 minutes after 11:32 AM? 1:27 PM How many minutes are there between 5:03 AM and 12:40 PM? 457 How many minutes are there between 2:42 PM and 8:06 PM? 324 What is 663 minutes after 11:39 PM? 10:42 AM What is 485 minutes before 6:40 PM? 10:35 AM What is 446 minutes before 11:11 PM? 3:45 PM What is 676 minutes before 4:36 AM? 5:20 PM What is 4 minutes after 7:26 PM? 7:30 PM How many minutes are there between 8:42 AM and 8:02 PM? 680 How many minutes are there between 12:52 AM and 6:20 AM? 328 What is 439 minutes after 5:37 AM? 12:56 PM How many minutes are there between 8:00 AM and 5:30 PM? 570 How many minutes are there between 1:32 AM and 12:49 PM? 677 What is 444 minutes after 1:37 AM? 9:01 AM What is 662 minutes after 1:30 PM? 12:32 AM How many minutes are there between 5:30 AM and 12:26 PM? 416 How many minutes are there between 3:35 PM and 2:57 AM? 682 What is 185 minutes before 8:23 PM? 5:18 PM What is 538 minutes after 1:44 AM? 10:42 AM How many minutes are there between 8:58 PM and 11:59 PM? 181 What is 628 minutes before 8:00 AM? 9:32 PM How many minutes are there between 2:45 AM and 5:10 AM? 145 How many minutes are there between 1:48 AM and 1:06 PM? 678 What is 597 minutes before 11:48 AM? 1:51 AM How many minutes are there between 7:38 PM and 8:54 PM? 76 What is 240 minutes before 8:45 PM? 4:45 PM What is 265 minutes before 1:01 AM? 8:36 PM How many minutes are there between 12:36 PM and 1:09 PM? 33 How many minutes are there between 12:28 AM and 5:56 AM? 328 How many minutes are there between 5:40 PM and 8:33 PM? 173 How many minutes are there between 8:20 AM and 6:19 PM? 599 What is 394 minutes after 1:33 AM? 8:07 AM What is 492 minutes before 5:25 AM? 9:13 PM What is 677 minutes after 11:47 PM? 11:04 AM What is 665 minutes after 7:24 PM? 6:29 AM What is 617 minutes before 3:53 PM? 5:36 AM What is 170 minutes after 10:55 PM? 1:45 AM How many minutes are there between 5:21 AM and 1:49 PM? 508 How many minutes are there between 10:27 AM and 12:09 PM? 102 How many minutes are there between 3:13 AM and 10:12 AM? 419 How many minutes are there between 12:50 PM and 10:02 PM? 552 How many minutes are there between 12:57 AM and 2:04 AM? 67 How many minutes are there between 7:40 AM and 9:10 AM? 90 How many minutes are there between 1:57 PM and 9:31 PM? 454 What is 620 minutes before 10:21 PM? 12:01 PM How many minutes are there between 5:31 AM and 12:50 PM? 439 What is 703 minutes after 4:32 AM? 4:15 PM How many minutes are there between 8:16 PM and 10:19 PM? 123 What is 428 minutes after 6:39 PM? 1:47 AM How many minutes are there between 12:32 AM and 1:31 AM? 59 What is 715 minutes after 5:59 AM? 5:54 PM What is 624 minutes before 1:08 AM? 2:44 PM How many minutes are there between 6:39 PM and 8:15 PM? 96 What is 586 minutes before 5:04 PM? 7:18 AM What is 706 minutes after 4:16 AM? 4:02 PM What is 19 minutes before 3:44 PM? 3:25 PM How many minutes are there between 2:47 AM and 4:59 AM? 132 How many minutes are there between 9:13 AM and 3:58 PM? 405 What is 459 minutes before 6:26 AM? 10:47 PM How many minutes are there between 12:12 PM and 11:58 PM? 706 What is 323 minutes after 3:18 PM? 8:41 PM What is 14 minutes before 2:15 PM? 2:01 PM What is 136 minutes after 4:53 PM? 7:09 PM What is 289 minutes after 3:32 AM? 8:21 AM What is 423 minutes before 7:10 PM? 12:07 PM What is 107 minutes before 9:26 PM? 7:39 PM What is 327 minutes after 6:24 AM? 11:51 AM How many minutes are there between 1:28 PM and 7:35 PM? 367 What is 631 minutes after 8:13 AM? 6:44 PM What is 709 minutes before 2:18 PM? 2:29 AM What is 463 minutes before 11:37 AM? 3:54 AM What is 295 minutes before 9:17 PM? 4:22 PM How many minutes are there between 4:11 PM and 1:35 AM? 564 How many minutes are there between 8:09 AM and 8:23 AM? 14 What is 453 minutes before 4:51 PM? 9:18 AM What is 421 minutes after 4:38 AM? 11:39 AM How many minutes are there between 7:59 PM and 8:39 PM? 40 What is 630 minutes after 4:40 PM? 3:10 AM How many minutes are there between 4:36 AM and 12:01 PM? 445 How many minutes are there between 11:08 PM and 11:46 PM? 38 What is 687 minutes after 2:47 AM? 2:14 PM How many minutes are there between 6:20 PM and 11:45 PM? 325 How many minutes are there between 4:13 PM and 11:12 PM? 419 How many minutes are there between 4:22 PM and 1:39 AM? 557 What is 250 minutes after 10:08 AM? 2:18 PM How many minutes are there between 12:01 AM and 3:58 AM? 237 What is 560 minutes before 2:37 PM? 5:17 AM What is 552 minutes after 1:59 PM? 11:11 PM What is 317 minutes before 10:35 AM? 5:18 AM What is 432 minutes after 1:49 AM? 9:01 AM How many minutes are there between 8:07 PM and 7:04 AM? 657 What is 612 minutes before 12:04 PM? 1:52 AM What is 156 minutes before 3:07 PM? 12:31 PM How many minutes are there between 10:19 AM and 4:18 PM? 359 What is 585 minutes after 1:16 PM? 11:01 PM What is 646 minutes after 9:19 PM? 8:05 AM How many minutes are there between 4:56 PM and 12:20 AM? 444 How many minutes are there between 9:31 AM and 3:13 PM? 342 How many minutes are there between 9:49 AM and 7:35 PM? 586 How many minutes are there between 8:14 AM and 2:42 PM? 388 How many minutes are there between 11:01 AM and 8:17 PM? 556 How many minutes are there between 8:44 AM and 1:14 PM? 270 What is 394 minutes before 8:57 AM? 2:23 AM How many minutes are there between 12:26 PM and 11:41 PM? 675 What is 568 minutes after 7:35 PM? 5:03 AM How many minutes are there between 8:28 AM and 6:58 PM? 630 What is 681 minutes after 6:01 AM? 5:22 PM How many minutes are there between 6:22 AM and 4:18 PM? 596 How many minutes are there between 2:07 AM and 11:23 AM? 556 How many minutes are there between 1:29 AM and 1:16 PM? 707 How many minutes are there between 6:27 PM and 3:25 AM? 538 What is 237 minutes after 6:54 AM? 10:51 AM How many minutes are there between 6:14 PM and 5:21 AM? 667 How many minutes are there between 1:12 AM and 1:21 AM? 9 How many minutes are there between 3:34 PM and 3:07 AM? 693 How many minutes are there between 3:53 PM and 8:39 PM? 286 How many minutes are there between 2:18 PM and 3:48 PM? 90 What is 240 minutes after 10:05 AM? 2:05 PM How many minutes are there between 5:03 AM and 12:04 PM? 421 How many minutes are there between 1:34 PM and 1:53 PM? 19 What is 627 minutes after 1:41 AM? 12:08 PM What is 366 minutes before 1:48 AM? 7:42 PM How many minutes are there between 11:51 AM and 11:10 PM? 679 What is 446 minutes after 7:17 AM? 2:43 PM What is 82 minutes before 5:43 PM? 4:21 PM What is 459 minutes before 2:37 PM? 6:58 AM What is 159 minutes after 8:48 PM? 11:27 PM What is 137 minutes after 9:46 PM? 12:03 AM How many minutes are there between 12:51 AM and 12:21 PM? 690 How many minutes are there between 1:00 AM and 11:17 AM? 617 How many minutes are there between 1:59 AM and 2:52 AM? 53 What is 689 minutes before 12:56 PM? 1:27 AM What is 399 minutes before 11:51 AM? 5:12 AM What is 508 minutes after 2:14 PM? 10:42 PM How many minutes are there between 11:40 AM and 12:22 PM? 42 What is 680 minutes after 4:11 AM? 3:31 PM What is 627 minutes after 4:34 AM? 3:01 PM What is 325 minutes before 3:42 AM? 10:17 PM What is 688 minutes after 2:01 PM? 1:29 AM How many minutes are there between 10:10 AM and 11:21 AM? 71 How many minutes are there between 9:34 PM and 2:37 AM? 303 How many minutes are there between 5:41 PM and 12:39 AM? 418 What is 706 minutes before 1:51 PM? 2:05 AM How many minutes are there between 10:11 PM and 2:50 AM? 279 What is 298 minutes after 12:18 PM? 5:16 PM How many minutes are there between 9:56 AM and 7:29 PM? 573 How many minutes are there between 6:46 PM and 11:50 PM? 304 How many minutes are there between 5:04 PM and 8:27 PM? 203 How many minutes are there between 4:50 PM and 2:23 AM? 573 What is 328 minutes after 11:13 PM? 4:41 AM What is 153 m
{ "pile_set_name": "DM Mathematics" }
= 6*y**3 - 15*y + 15. Give 4*k(g) + 30*s(g). -6*g**3 Let m(n) = 13*n - 5. Let w(v) be the second derivative of v**3 - v**2 + 4*v. Let k be (-12)/(-10)*(-5)/(-2). Suppose -k*u + 6 = -21. Give u*w(l) - 4*m(l). 2*l + 2 Let i(l) = -5*l**2 - l + 3. Let u(f) = -13*f**2 - 7*f + 4. Let w(t) = -6*t**2 - 3*t + 2. Let r(z) = 2*u(z) - 5*w(z). Calculate -2*i(a) - 3*r(a). -2*a**2 - a Let s(m) = 5*m**3 - 2*m**2 - 2*m - 3*m**3 - 2*m**2. Suppose 0 = -2*d - 4 + 12. Let x(z) = -4*z**3 + 7*z**2 + 3*z. What is d*x(a) + 7*s(a)? -2*a**3 - 2*a Let y(b) = -22*b**3 + 3*b**2 + 3*b - 3. Let m(v) = -43*v**3 + 5*v**2 + 5*v - 5. Calculate -3*m(s) + 5*y(s). 19*s**3 Let h(g) = 3*g**2 + 2*g + 2. Let o(d) = 13*d**2 + 9*d + 9. Suppose 0 = y - 2 + 11. Let p = y - -5. Give p*o(j) + 18*h(j). 2*j**2 Suppose 5*c + 40 = 4*q + 2*c, -2*q + 20 = c. Let g be (-5)/(-25) + 28/q. Let k(m) = -2*m**2 + 3*m - 3. Let w(n) = 3*n**2 - 5*n + 5. Give g*w(o) + 5*k(o). -o**2 Let q(v) = -10*v**3 - 5*v - 5. Let p(o) = 2*o**3 + 3. Let d(n) = n**3 - n + 3. Let c(s) = 3*d(s) - 4*p(s). Calculate -5*c(w) + 3*q(w). -5*w**3 Let o(r) = 2*r**3 - 8*r**2 + 6*r - 23. Let j(t) = -t**3 + 3*t**2 - 2*t + 8. Calculate -8*j(c) - 3*o(c). 2*c**3 - 2*c + 5 Let x(o) = -3190*o + 170. Let n(f) = 56*f - 3. Determine -340*n(i) - 6*x(i). 100*i Let i(x) = -2 + 1 + x + 0*x - 17*x. Suppose 0 = 4*h - 3*h + 2. Suppose -3*s + s - 22 = 0. Let w(g) = 3*g. Calculate h*i(j) + s*w(j). -j + 2 Let p(q) = q**2 + 1. Let w(s) = -6*s**2 + 5*s - 8. Let v(y) = 3*p(y) + w(y). Let n(o) = -4*o**2 + 8*o - 8. Determine -5*n(r) + 8*v(r). -4*r**2 Let q(f) be the first derivative of -3*f**2 - 4*f + 6. Let n(u) = -8*u - 9. Let b(s) = -5*s - 6. Let r(d) = 7*b(d) - 5*n(d). What is 4*q(h) + 5*r(h)? h - 1 Let t(z) = -27*z**3 - 3*z**2 - 2*z. Let j(k) = -134*k**3 - 16*k**2 - 11*k. Determine -2*j(h) + 11*t(h). -29*h**3 - h**2 Let i(w) = 17*w**3 + 6*w**2 + 6*w + 17. Let s(c) = -6*c**3 - 2*c**2 - 2*c - 6. Calculate 4*i(v) + 11*s(v). 2*v**3 + 2*v**2 + 2*v + 2 Suppose -3*v = -3, 4*v = 3*x - v - 10. Let d(n) = -31*n + 1. Let g(p) = 6*p. Let k(m) = -2*d(m) - 11*g(m). Let u(y) = -3*y - 2. What is x*k(c) - 6*u(c)? -2*c + 2 Let u(i) = -23*i**3 - 8*i**2 + 8. Let v(m) = -15*m**3 + 4*m**2 - 6 - 9*m**2 + 11. Give 5*u(y) - 8*v(y). 5*y**3 Let t(v) = -7*v + 4. Let p(a) be the third derivative of -a**4/24 + a**3/6 - a**2. Suppose -3*h = 4*o + 16, -4*o = -4*h + 2*h - 4. What is o*t(r) + 5*p(r)? 2*r + 1 Let z(y) = 2*y - 5. Let x(b) = b - 1. Let v(q) = 4*x(q) - z(q). Let p(a) = a. Let j(i) = 5*i + 2*i**2 - 46 + 38 - i**2. Let m be j(-6). Give m*v(f) + 6*p(f). 2*f - 2 Let b(p) = -p. Let k(d) be the third derivative of d**5/30 + d**4/4 + 11*d**2. Give 5*b(n) + k(n). 2*n**2 + n Let x(n) = 4*n**3 - 8*n**2 - 3*n - 6. Let i(p) = -9*p**3 + 17*p**2 + 6*p + 13. Determine -6*i(s) - 13*x(s). 2*s**3 + 2*s**2 + 3*s Let u(k) = 2*k. Let o(j) = 3*j. Let r(i) = -5*o(i) + 9*u(i). Let g(l) = -7*l - 13. Let y(b) = 3*b + 6. Let p(h) = 6*g(h) + 13*y(h). Calculate 6*p(m) + 7*r(m). 3*m Suppose -5*m - 19 = -2*d + d, -18 = 5*m - 2*d. Let o(b) = 3*b + b - b. Let g(f) = -2*f. Give m*g(v) - 3*o(v). -v Let b(f) = 3 - 2*f**2 - 2*f**3 + 7*f**3 + 0*f**3 - 5*f. Let s(x) = 6 - 161*x**2 + 160*x**2 + x**3 - 5 - x. What is -b(w) + 3*s(w)? -2*w**3 - w**2 + 2*w Let f(a) = a**2 + 4. Let k(q) = q**2 - 1. Let h(x) be the second derivative of -x**4/6 - x**3/6 + 2*x**2 + x. Let b(y) = -h(y) - 3*k(y). What is 2*b(l) + f(l)? -l**2 + 2*l + 2 Let u(i) = 3*i**2 - 2. Let h(r) = -r**2 + 0 + 2*r**2 + 5 - 8*r**2. Calculate 2*h(d) + 5*u(d). d**2 Let s(p) = p**3 - p**2 + p + 4. Let x(z) = -17*z - z**2 + 1 - 16*z + 34*z. Determine s(r) - x(r). r**3 + 3 Let l(u) = -6*u - 2. Let b(a) = 5*a + 5. Let n(d) = 11*d + 11. Let y(j) = 9*b(j) - 4*n(j). What is -l(h) - 2*y(h)? 4*h Let l be 2/1 - 2 - -2. Let x(f) be the second derivative of -f**5/10 - f**4/12 + f**3/6 - f. Let s(p) = -p**3 - p**2 + p. Determine l*s(t) - 2*x(t). 2*t**3 Let t(o) = 4*o - 3. Let r(x) = -5*x + 3. Let q(m) = -m - 15. Let y be q(-12). What is y*t(l) - 2*r(l)? -2*l + 3 Let y(c) = c**2 - c + 1. Let k(z) = -z**2 + 2*z - 2. Suppose -2*l + 17 = 9. Calculate l*k(t) + 6*y(t). 2*t**2 + 2*t - 2 Let h(d) = d**2 + 5*d + 1. Suppose -20 = 4*a + 4. Let n = 103 + -98. Let p(t) = t**2 + 4*t + 1. Calculate a*p(j) + n*h(j). -j**2 + j - 1 Let a(j) = -63*j. Let m(f) = 725*f. Give 58*a(q) + 5*m(q). -29*q Let p(o) = 7*o - 4. Let l(b) = 20*b - 11. Let q(g) = -g**2 + 14*g - 2. Let u be q(13). Determine u*p(f) - 4*l(f). -3*f Let x(k) = k**2 + k - 1. Suppose 5*g - 5 + 0 = 0. Let l(d) = -d**2 - d + 4. Determine g*l(v) + 3*x(v). 2*v**2 + 2*v + 1 Let v(j) = j**2 - j + 1. Let t(p) = p**2 + 1 + 0 + p**2 - p. Let z be 7/(-14) + (-1)/2. Let k be (2 + z)/(-4 + 3). Give k*v(a) + t(a). a**2 Let o(d) = d + 4*d**2 + 3*d**2 + 7 - 2*d. Let v(q) = 10*q**2 - q + 10. Let y = -4 - -4. Suppose 5 = -g, y*g + 3*g = -4*s + 13. Give s*o(j) - 5*v(j). -j**2 - 2*j - 1 Let d(u) = u**2. Suppose -58*b - 4 = -62*b. Suppose w = 3*l - 8, 4*l + 5 - 3 = -5*w. Let v(t) = 6 - 2 - 3 + t + 6*t**l. Give b*v(h) - 5*d(h). h**2 + h + 1 Let t(w) be the second derivative of -w**2/2 - w. Let a = -23 + 19. Let v(j) = -j + 6. Calculate a*t(r) - v(r). r - 2 Let c = -50 - -47. Let x(y) = -5*y**3 + 2*y**2 + 2*y - 3. Let v(k) = 4*k**3 - 2*k**2 - k + 2. Give c*v(d) - 2*x(d). -2*d**3 + 2*d**2 - d Let i(a) = -2*a**2 - 7*a - 11. Let b(z) = -z**2 - 3*z - 5. What is 13*b(o) - 6*i(o)? -o**2 + 3*o + 1 Let w(j) = 23*j - 6. Let o(r) = -1495*r + 391. Calculate -6*o(u) - 391*w(u). -23*u Let y(l) = -9*l. Let u(z) = 14*z. Give -5*u(h) - 7*y(h). -7*h Let z = 7 - -17. Let y(v) = -26*v - 2 + 1 + z*v. Let o(a) = -10*a - 4. What is 3*o(q) - 14*y(q)? -2*q + 2 Let z be -3*(-1)/(-1) - -6. Let n(u) = -u**2 + 2. Let f(l) = l**2 - 3. Determine z*n(o) + 2*f(o). -o**2 Let d(h) = -3*h**2 + 45*h. Let x(l) = l**2 + l. What is d(b) + 2*x(b)? -b**2 + 47*b Let s(t) = -t**2 - t - 2. Let f(v) = -5*v**3 - 2*v**2 - 3*v. Let q(k) = -f(k) + 2*s(k). Let a(j) = -14*j**3 - 2*j + 11. Calculate -4*a(d) - 11*q(d). d**3 - 3*d Let w(o) = 17*o + 15. Let v(q) = -5*q - 4. Let r(a) = -11*a - 9. Let i(y) = -3*r(y) + 5*v(y). What is -13*i(l) + 6*w(l)? -2*l - 1 Let j(d) = -4*d + 2. Let f(w) = 16*w - 9. Suppose 8*b + 4 = 10*b. Calculate b*f(t) + 9*j(t). -4*t Let g(o) = -o**2 + 2*o - 2. Let u(w) = w**3 + 4*w**2 - 9*w + 9. Suppose 5*m + i = -0 - 8, 0 = 2*m - i + 6. Determine m*u(n) - 9*g(n). -2*n**3 + n**2 Let y(n) = -3*n**2 - 5*n - 7. Let p(s) = -4*s**2 - 7*s - 10. Let a(u) = -5*p(u) + 7*y(u). Let m(v) = -8*v**2 + 3. Determine 4*a(w) - m(w). 4*w**2 + 1 Let h(b) = -8*b**2 - 2*b - 2. Let n(d) = -17*d**2 - 5*d - 5. What is 5*h(s) - 2*n(s)? -6*s**2 Let a(g) = -g**2 - g + 1. Let m(o) = -99*o**2 - 6*o + 6. What is 6*a(t) - m(t)? 93*t**2 Let m(t) = 47*t**3 - 8*t + 2. Let q(l) = 31*l**3 - 5*l + 1. Give -5*m(b) + 8*q(b). 13*b**3 - 2 Let i(p) = 2*p**3 - 4*p**2 - 5*p - 3. Let d(m) be the first derivative of -m**4/2 + m**3 + 2*m**2 + 2*m + 5. What is 3*d(v) + 2*i(v)? -2*v**3 + v**2 + 2*v Let j(q) = -2*q**2 + 4*q - 3. Suppose 2*n = -3*n + 40. Let b be (-6)/(-9)*(-36)/n. Let i(z) = -2*z**2 + 3*z - 2. Give b*i(w) + 2*j(w). 2*w**2 - w Let f(v) = -4*v + 4. Let i(j) = 1. Determine -f(m) + 12*i(m). 4*m + 8 Let i(c) = -4*c**2 - 2*c - 1. Let d(x) = 5*x**2 + 2*x. What is 2*d(z) + 3*i(z)? -2*z**2 - 2*z - 3 Let u(p) = p**2 - 2*p. Let a be (-2)/(-4)*-6 + -2. Let h(b) = 3*b**2 - 5*b. Give a*u(q) + 2*h(q). q**2 Let k(c) = -c**3 - 3*c**2 - 5*c - 1. Let s(u) = u**2 + 24*u + 28. Let y be s(-23). Let g(d) = -d**2 - 2*d. What is y*g(f) - 2*k(f)? 2*f**3 + f**2 + 2 Let u(r) = 2*r**3 + 2*r**2 - 14*r. Let x(w) = w**3 + w**2 - 5*w. Determine 3*u(f) - 8*x(f). -2*f**3 - 2*f**2 - 2*f Let j(c) = 3*c**3 - 4*c + 4. Let t(y) be the first derivative of 5*y**4/4 - 7*y**2/2 + 7*y - 4. Calculate -7*j(z) + 4*t(z). -z**3 Let f(g) = 2*g**3 + 3*g**2 + 5*g + 1. Let d(t) = 2*t**3 + 4*t**2 + 5*t + 2. Calculate -3*d(r) + 4*f(r). 2*r**3 + 5*r - 2 Let n(o) = -o**3 + 6*o**2 - 6*o. Let f(m) = m**2 - m. Let b = 10 - 4. Determine b*f(x) - n(x). x**3 Let g(d) = -d**3 + 4*d**2 + 2*d - 4. Let j(p) = -3*p**3 + 11*p**2 + 6*p - 11. Let v = -16 - -16. Suppose v = -5*l + 2 - 22. Determine l*j(y) + 11*g(y). y**3 - 2*y Let a(i) = 3*i + 7. Let u(f) = f + 3. Let c(t) = -2*a
{ "pile_set_name": "DM Mathematics" }
t m(f) = -f**3 + f**2 + 8*f - 2. Let h be m(w). Solve 0 = -h*g + 16 for g. 4 Let g(b) = 3*b**2 + 13*b - 36. Let h be g(-7). Solve -8*w = -4*w - h for w. 5 Let u be 70/105 + (-210)/(-9). Solve 12*z = -0*z + u for z. 2 Suppose 2*r - 18*r = -48. Solve -r + 11 = 2*t for t. 4 Let q(n) = 4*n - 33. Let l be q(9). Suppose -5*y + h + 20 = 0, -3*y = -2*h + l*h - 20. Solve 2*u - y = -9 for u. -2 Suppose 4 = q - 6. Suppose y - q = 3*c - 3*y, c - 2*y = -6. Let x = -565 - -567. Solve -2*o = c + x for o. -2 Let a(x) = -x**3 - 4*x**2 + 4*x - 2. Let w be 1*(-3)/(-6)*-10. Let p be a(w). Let b be (-1)/6 + p/18. Solve b = -m - m for m. 0 Let a be (20/(-80))/((-1)/4). Let i = 11 + -6. Solve i - a = w for w. 4 Let u be (-2)/8 - 945/(-36). Let j = u + -21. Solve -j - 1 = -2*z for z. 3 Suppose -6*t = -2*t, d + 3*t = 0. Let y(g) = g**2 + g + 6. Let q be y(d). Let b be 0 - -2 - (-6)/q. Solve z = -b*z + 12 for z. 3 Let p = -2 - 6. Let z = -15 - p. Let o be z/21 - (-7)/3. Solve -d = o*d + 6 for d. -2 Let u(p) = -p**2 + p. Let v be u(0). Suppose 615*l = 616*l - 6. Solve -2*a + v*a = -l for a. 3 Suppose 2*u - 6 = -4. Let w be (9/6 - u)*0. Suppose -5*p + 20 = -0*p - 5*o, -16 = 5*p + 4*o. Solve w*q - q = p for q. 0 Suppose -v = -0*v - 2*g - 5580, -4 = g. Let c be v/154 - (-4)/(-22). Solve c = -5*z + 11 for z. -5 Suppose v + 5*d - 20 = 10*d, d = v - 4. Suppose v = -2*z + 7*z - 25. Solve -z*c = -4*c + 1 for c. -1 Let j(k) = k**3 + 13*k**2 - 2*k - 1. Let p be j(-13). Solve 3*w + p = -2*w for w. -5 Suppose 0 = 4*f - 4*r + 12, r + 0*r - 3 = 5*f. Solve -32*o + 29*o = f for o. 0 Suppose j - r = 5 - 0, 0 = 5*j + 4*r - 16. Solve -2*s = j - 8 for s. 2 Let c = -345 - -352. Solve -8*q = -c*q for q. 0 Suppose 0 = -16*w - 1 + 1. Solve 13*k - 14*k - 2 = w for k. -2 Suppose j = 6 + 17. Let p = j - 4. Suppose 0 = p*v - 15*v - 12. Solve -v*x - 2 = -4*x for x. 2 Let m(f) = -f - 5. Let z be m(-6). Suppose -21 = -5*b - z. Suppose -3*k + 3*j + 15 = 0, 4*k = -b*j + 2*j + 8. Solve -k*v = -v - 10 for v. 5 Let a be (-1)/((-163)/(-41) - 4). Solve -37*h = -a*h + 20 for h. 5 Let a(s) be the third derivative of -3*s**4/8 + 12*s**3 + 23*s**2. Let r be a(8). Solve 0*p + p + 2 = r for p. -2 Let u(n) = n**3 - 16*n**2 + 14*n + 23. Let p be u(15). Solve 2*w + 6*w + p = 0 for w. -1 Suppose -2*q + 15 = -3*c - 1, 3*c = 4*q - 20. Solve -k - 2 = q for k. -4 Let w(t) = -t + 14. Let h = -38 + 32. Let b be w(h). Solve -3*u + b = -7*u for u. -5 Let g = -672 + 795. Solve -g*a = -122*a for a. 0 Suppose 48*h - 326 = 154. Solve 0 = 18*q - 28*q - h for q. -1 Suppose -2*c - 2*c + 36 = 3*q, 3*c = -5*q + 16. Let f be ((-4)/5)/((-8)/80). Let s = c + f. Solve s = g + 4*g for g. 4 Let j(i) = -14 + 0 + 7*i + 10*i**2 - 2 + i**3. Let n be j(-9). Solve -n = -4*f + 2 for f. 1 Let c(z) = 28*z - 6. Let u be c(1). Solve -u = 2*q - 28 for q. 3 Suppose -334 = 7*h - 397. Solve 3*w - h = -0 for w. 3 Suppose -24 = 5*y + 4*l - 4, -5 = 4*y + l. Solve 4*c - 4 = -y*c for c. 1 Suppose -4*g + 7*g + 3 = 0. Let y be (g/(-3))/(6/72). Solve -y*v = -1 + 9 for v. -2 Let f = 133 + -133. Solve f = -7*i + i + 30 for i. 5 Let z(l) = -2*l**2 - 25*l + 17. Suppose -5*a - 61 = -h, 77 = -3*a - 2*a - 3*h. Let m be z(a). Solve -2 = m*p + 14 for p. -4 Let f = -383 - -388. Solve -20*g = -21*g + f for g. 5 Let j be (0 + 2)/(2/(-10)). Let f be j/(-20) - (-5)/2. Solve 0 = -5*q + 2*q - f for q. -1 Let u(y) = -y**2 - 9*y - 15. Suppose -2*v = v - 3*a + 9, 3*a + 23 = -5*v. Let h be u(v). Solve 2*r + 1 + h = 0 for r. -3 Let n(r) = 2*r**2 - 2*r - 9. Let v(p) = -p**2 + 3*p + 9. Let k(d) = -3*n(d) - 4*v(d). Let b be k(-3). Let f be (b/(-54))/((-2)/(-12)). Solve -2 = h + f for h. -3 Let m(h) = -4*h + 77. Let z be m(19). Solve -z = 2*n - 3 for n. 1 Let i = -1002 + 1143. Solve 0 = i*o - 136*o + 20 for o. -4 Let z = -31 + 39. Solve 2 = 2*i + z for i. -3 Suppose -5*r - 2*m + 148 = 57, -3*r + 2*m + 61 = 0. Suppose 0 = 2*o - 63 + r. Solve -5*a - o = -7 for a. -3 Suppose 5*f = -o + f + 7, 0 = -2*f + 2. Solve o*q = -2 + 2 for q. 0 Let o(m) = m**3 + 10*m**2 + 12*m - 21. Let a be o(-8). Suppose a*v - 30 = -8. Solve -v*w - 4 = 2 for w. -3 Let k(x) = 40*x + 735. Let c be k(-18). Suppose -2 = -4*s + 3*s. Solve -5*v - c = -s*v for v. -5 Suppose -3*q + z + 32 = 3*z, -36 = -3*q - 3*z. Suppose t - q = 4. Solve -4*i = -0*i - t for i. 3 Suppose 0 = -4*u + 77 + 3. Suppose 4*b - 60 = -u. Suppose 0 = -2*t - b, -5*z + t - 3 = -18. Solve h + 0 = -z for h. -2 Suppose 45 = -87*y + 92*y. Solve 0 = -40*m + 43*m - y for m. 3 Suppose -4*s = -11*s + 21. Suppose 0 = 5*t - 4*u - 36, -4*t + s*u + 13 = -15. Solve t*g = g + 12 for g. 4 Suppose 86 = 3*v - r - 26, 0 = 5*v + 5*r - 200. Solve 42*o - v*o = 12 for o. 3 Let y(h) = 2*h**2 - 2*h - 9. Let o be y(-3). Solve 11*v = 8*v + o for v. 5 Let g = 47 + -21. Let n = g - 24. Let u be 0 - 1*(1 - n). Solve 6 - u = -o for o. -5 Let j(q) = -2*q. Let v be j(-2). Let o(b) = -b**3 + 9*b**2 - 11*b + 12. Let a be o(8). Let w be 4/a + 74/6. Solve w + 4 = -v*x for x. -4 Suppose 0 = -2*u, 0*m = -4*m - 5*u. Let j be m*((-12)/8 - -1). Solve j = g + 2*g - 15 for g. 5 Let w(b) be the third derivative of b**4/8 - 5*b**3/6 - b**2. Let h be w(4). Let p = -4 + h. Solve 0 = 4*s - 5 - p for s. 2 Let c be (-492)/(-10) + 40/50. Solve c = -12*y - 10 for y. -5 Suppose 2*q = 3 + 1. Suppose 2*l + n = 5, -5*l + 3*l - q*n + 6 = 0. Solve -l*o - 1 = -3 for o. 1 Let n be 1/(0 + 3/15). Suppose -3*p + n*g - 47 = 0, 5*g - 4*g + 41 = -5*p. Let x = 10 + p. Solve 0 = -3*h - 2 - x for h. -1 Let q be (-38)/(-8) - (-18)/(-24). Solve 0 = -r + 2 - q for r. -2 Let o = 228 + -216. Solve -3*m + 0 = -o for m. 4 Suppose -32 = -13*x + 5*x. Suppose 0 = 3*g + x*g - 0*g. Solve g = 2*z + 3 + 5 for z. -4 Suppose 4*f = -5*l - 12, -l - 9 = 7*f - 4*f. Solve -68 = 17*u - l*u for u. -4 Suppose 38 = -0*g + 19*g. Solve 2*t = -0 - g for t. -1 Let b be 1/3 - (-3)/(-9). Let q be 10/(-4)*(15 + -13). Let d be 0*1/q - -3. Solve b = -d*s - s - 16 for s. -4 Suppose 3*n - 5*n - 30 = 0. Let b = 18 + n. Suppose -5*k = -3*v - 127, 0 = 2*k - b*k + 2*v + 31. Solve 0 = -5*a + 8 - k for a. -3 Let w(z) = z + 20. Suppose -2*t - 2*t = 4*g + 120, -5*t = 0. Let r = 20 + g. Let a be w(r). Solve 0 = -d + 6*d - a for d. 2 Let v(h) = 2*h**2 + 18*h + 4. Let t be v(-8). Let p be -4*9/t - -3. Solve 0 = p*a - 2*a + 12 for a. -3 Suppose -5*p - 3*k - 5 = 0, -3*p = -0*p + 4*k + 14. Solve p*m + 27 = 21 for m. -3 Let w(b) = 3*b**3 - 27*b**2 + 2*b - 3. Let i be w(9). Let l = -4 - -4. Solve -5*r - i = -l*r for r. -3 Suppose -46 - 194 = 4*b. Let r = b - -60. Solve 8 = 4*j - r for j. 2 Let l be (-2)/9 + 190/45 - 1. Let u be 16/7 - (-6)/(-21). Suppose l*k - u = 2*k. Solve 4*i = k*i + 2 for i. 1 Let b(l) = l**2 - 5*l - 63. Let n be b(11). Solve 0 = n*p - 7 + 13 for p. -2 Suppose f = 4*f - 4*m, m + 5 = 2*f. Let w(x) = 3*x**3 - 2*x**2 + x. Let z be w(1). Solve -z - 2 = -f*c for c. 1 Suppose 0 = 2*k - 8, 2*z - 7*k + 2 = -2*k. Let w = -6 + z. Solve u + 4 = w*u for u. 2 Let y be ((-27)/18)/((-2)/(-8)*-3). Let q(b) = b + 1. Let c be q(-6). Let t = 5 + c. Solve y*x + x + 15 = t for x. -5 Let n(r) = -2*r**3 - 40*r**2 + 2*r + 45. Let c be n(-20). Solve c*j = -3 - 17 for j. -4 Suppose -80*q = -91*q + 110. Solve -q*i = 40 - 10 for i. -3 Let b(v) = 2*v**2 - 6*v - 15. Let f be b(5). Solve -8*s + 3 = -f for s. 1 Let s(o) = 9*o + 11. Let r be s(-9). Let f = -66 - r. Solve 0 = -i - 6 + f for i. -2 Let s be (-5)/35 - 2/(-14) - 0. Let w be -1 - 1 - -6*(s + 1). Solve -w*u + 5 = u for u. 1 Let y(g) = -g. Let a be y(5). Let x be (20/(-8))/a*2. Solve -3 = 2*q + x for q. -2 Let u be 9 + -1 + 18 + -26. Let f be (4/(-3))/(2/(-3)). Solve f*p = -u*p + 10 for p. 5 Let w(t) = 6*t + 4. Let c be w(0). Suppose -c*a + 7 = -1. Solve 2*h = -a*h for h. 0 Let l(z) be the second derivative of -z**5/20 + z**4/3 - z**3/2 - z**2 - 11*z. Let h be l(2). Solve 4*k + k + 15 = h for k. -3 Suppose 0 = 2*d + 4*u - 22, -3*d + 3*u - 9 = 3. Suppose 3*v - 5*c = -4, 5*v - 15 = -2*c - d. Solve 0 = -2*m + 8 + v for m. 5 Let n(v) = v**2 + 2*v - 1. Let d be n(-3). Suppose 4*u - 3*u - 5*z = -22, -2*z + 4 = -2*u. Suppose u*r = 141 - 126. Solve d = -3*b + r for b. 1 Let l = 235 + -205. Solve l*d - 25 = 25*d for d. 5 Let s be (3 - 0)*(0 + 1). Suppose -4*z + 8*d - 3*d = -16, -5*z + d + 20 = 0. Suppose 0 = -z*v + s*v. Solve v
{ "pile_set_name": "DM Mathematics" }
-2 - o for t. 3 Suppose -4*l + 44 = -5*j, -2*j = -2*l - 5*j. Solve -7*s + l = 41 for s. -5 Let y(s) = 2*s**2 + 20*s**3 + 2*s - 19*s**3 + 2 - 3*s**2. Let f be y(0). Solve 0*d = f*d - 6 for d. 3 Let h be (136/56 - 3)/((-2)/7). Suppose 0*x - 5*x = 2*x. Solve x = -3*p - h*p for p. 0 Let p = 241 + -237. Solve p*w + w = -5 for w. -1 Let d be ((-5)/(-2))/(12/24). Suppose -d*p + 23 + 17 = 0. Solve 5*y = y + p for y. 2 Suppose -3*j = 12, 0*b - 4*j = 2*b - 12. Solve -11*m = -b*m + 12 for m. 4 Let s be 1*(-12)/(-3) + -2. Let z = 29 - 29. Suppose a + z*a - 4*l = 0, -5*a = -l. Solve a = s*g - g + 4 for g. -4 Let i(q) = 54*q**3 - q**2 + q. Let u be i(1). Solve -w = -49 + u for w. -5 Suppose 0 = -5*f + 9611 - 9516. Solve -11*v + 14 + f = 0 for v. 3 Let g be (42/(-9))/(3/9). Let i be (20/g)/(16/(-112)). Solve 0 = -q + 6*q - i for q. 2 Let i be 0 + 1 + (16 - 12). Suppose -30 = -i*g + 5*n - 4*n, -5*n = 0. Solve -g*s - 9 = -3*s for s. -3 Suppose 3*p + 0*p = -16*p. Suppose m - 3*m = -p*m. Suppose -z + 2 = -4. Solve m = z*a - a + 15 for a. -3 Let n be (-2)/(-2) - 0 - 10. Let l(d) = d**3 + 10*d**2 + 11*d + 9. Let g be l(n). Let j = -6 - g. Solve 0 = -j*s - 11 + 5 for s. -2 Let i(w) = 6*w - 10. Let y be i(2). Let n be -2*((-1)/1 - 1). Suppose n*p + d - 2 - 7 = 0, -3*p + 28 = 5*d. Solve -y*z - p = 1 for z. -1 Suppose 7 + 0 = u. Suppose y = 2*y - u. Suppose -y*i + 11*i - 16 = 0. Solve i*r = -r - 20 for r. -4 Suppose -2*d - 2*d = s - 11, 0 = -s - 2*d + 13. Suppose 2*u = -56 + 64. Solve -u*m + m = -s for m. 5 Let i be (-6)/(-4)*(6 - 4). Suppose i*k = 3*q + k - 25, 2*q = 5*k + 35. Solve 0*w - q*w - 15 = 0 for w. -3 Let j = -793 + 831. Solve 33*q + 5 = j*q for q. 1 Let y be 4/(-5) - 104/(-130). Solve -5*z - 26 + 6 = y for z. -4 Let h be (2 - 12/8)*-390. Let k be 3/((-36)/h) + (-2)/8. Solve 3*g = -1 + k for g. 5 Suppose 0 = 7*y - 6*y - 5*v - 37, 2*v = -10. Solve -y*i = -5*i + 14 for i. -2 Let p be (-84)/(-49) - (-4)/14. Suppose -p*u = i - 0*u - 13, 3*i - 3 = 3*u. Suppose i*w - 88 = 67. Solve 4*f = w - 11 for f. 5 Let v be ((-1)/3)/((-5)/75). Solve -v*f = 8*f - 52 for f. 4 Let f = 53 - 53. Solve -15 = 5*y - f*y for y. -3 Let l = 61 - 61. Solve l = -6*y + 7*y for y. 0 Suppose 8*b - 8 - 16 = 0. Suppose 42 = 2*u + 2*j, 2*j = -3*u + 4*j + 78. Suppose -b*t = 18 - u. Solve 0 = -t*o - 0 + 6 for o. 3 Let g be 4 - 5 - 2/(-2 - 0). Solve 2*l - 2 + 10 = g for l. -4 Suppose 4*p = 3*p - 2. Let a be p/1*(-20)/8. Suppose -32*h + 36*h = 24. Solve a*k - h = 3*k for k. 3 Let f = 272 + -265. Let l = -4 + 4. Suppose -4 + l = -j. Solve -j*g + 23 = f for g. 4 Let p = 13 - 23. Let v be (60/21)/((-2)/(-7)). Let u = v + p. Solve r - 6 + 3 = u for r. 3 Let d(m) = -1 + 0*m - 4*m**2 + m**3 + 6*m + 4*m - 6*m. Let z be d(3). Let l(n) = -n - 1. Let r be l(-3). Solve -r*t = z*t for t. 0 Let b(m) = -m**3 - 7*m**2 - 15*m - 4. Let c be b(-3). Solve c*t + 7 + 3 = 0 for t. -2 Suppose -c = -5*g + 3, 6*c - g - 15 = -4. Let w(u) = -u**3 + 5*u**2 + 8*u. Let l be w(6). Solve 2*x = -c*x - l for x. -3 Let i be (1 - 10/6)/(28/(-210)). Suppose -5*t + 2 = -4*d, 6*t + i*d - 18 = 2*t. Solve 0 = -m - t for m. -2 Let c be (-27)/189 - (-86)/14. Suppose 33 = c*t + 9. Solve t*b = -6 - 10 for b. -4 Let d(k) = -6*k + 142. Let o be d(23). Suppose -l = -2*q + 76, -3*l + 35 = 2*q - 25. Suppose o*r - q = -0*r. Solve -r = -x + 4*x for x. -3 Let x = 340 - 331. Solve x*k = 12*k + 3 for k. -1 Suppose 0 = -5*g - 20, -5*w - g + 18 = -3*g. Let x(s) = s**2 - 3*s + 6. Let b be x(w). Solve b*j = 3*j for j. 0 Let l be (0 - (-2)/3)/((-77)/(-924)). Solve l*g = 4*g - 4 for g. -1 Let i = 3 + 12. Let r = -2 - -7. Solve i + 10 = -r*q for q. -5 Suppose 3 = x - 3*g, -5*x + 4*g + 28 = -x. Solve -8*f + 2 = -x*f for f. -2 Suppose -3*d = -5*b - 4*d + 2, -3*b + 3*d + 12 = 0. Let c = 37 - 25. Suppose 0 = -3*f - 4*n - c, 12 = f - 3*n + 3. Solve -r = -f - b for r. 1 Let o(n) = 2*n**2 + 25*n - 88. Let w be o(-16). Solve -d - 5*d + w = 0 for d. 4 Suppose -4*p + 36 = -4*f, -4*f + 4 = -p + 25. Solve -5*r - 9*r + p*r = 0 for r. 0 Suppose -3*z - 49 = -127. Suppose 0 = -2*s - 6 - 2, 3*w - 5*s - z = 0. Suppose -4 = -y - w. Solve -3*d = y*d + 5 for d. -1 Let r(b) = -b**3 - 22*b**2 + 8. Let o be r(-22). Suppose 0*i = o*i - 40. Solve -i*a + 2 = -8 for a. 2 Let q(f) = 3*f**3 + 4*f**2 + 5*f + 1. Let h be q(-5). Let u = -168 - h. Suppose -2*n + 3*k + 0*k + 56 = 0, -u = -5*n + 3*k. Solve -3*p - n = 2*p for p. -5 Suppose 2*d = -5*k + 45, -8*k + 2*d = -3*k - 25. Let l(t) = -5*t + 49. Let u be l(9). Suppose u*x - k = -3. Solve 0*j + x = j for j. 1 Let v(c) = 6*c - 6. Let o be v(7). Let b be 6/o*-3 + 10/4. Solve b*q = 4*q for q. 0 Suppose 4*v - 29 = 3*j, -5*j + 10*j = 4*v - 35. Solve -h + 24 = v*h for h. 4 Suppose 166 = 7*z + 124. Solve 2*c + 20 = z*c for c. 5 Let k be ((-40)/(-6))/(4/6). Let f = 3 + k. Suppose -r - 1 = i, -i - 3*r = -3*i + f. Solve i*y - 7*y = 0 for y. 0 Suppose 5*j - 16 = -3*n, -n + 0*j - 3*j + 8 = 0. Let b = -5333 - -5335. Solve -n - 2 = b*t for t. -2 Let u = 106 + -154. Let j be (2/(-3))/2 - 16/u. Solve j = -2*t + 5 + 1 for t. 3 Suppose -o - 2*o - h = 53, -3*h = -4*o - 75. Let i be o*(1/(-1) + 4/8). Solve 7*k = i*k for k. 0 Let v(y) = 2*y**3 + 8*y**2 - 4*y - 15. Let d be v(-4). Solve 0 = g + d + 2 for g. -3 Let j = -346 + 360. Solve -j = -5*i - 4 for i. 2 Let t = -125 - -57. Suppose 2*f - d = -9, 0*d + 13 = -2*f + 5*d. Let w be (-31)/f + 51/t. Solve 3*j + w = 1 for j. -2 Let m(z) = -5*z + 62. Let i be m(-12). Let t = 126 - i. Solve -3*v - 5 = -t*v for v. 5 Suppose -96 - 37 = 7*c. Let a(u) = u**2 + 19*u. Let o be a(c). Solve -4*v - 26 + 10 = o for v. -4 Let o(f) = f**2 - f - 38. Let c be o(7). Solve 0 = c*i + 5 + 3 for i. -2 Let l be (-5 - (3 - 4))/(-2). Suppose -3 - 1 = -l*k. Suppose k*v + 0*v - 4 = 0. Solve a - v = 3*a for a. -1 Suppose 5*v + 5 = -5. Let b = v + 2. Let s be 39/(-130) + ((-4554)/60)/(-23). Solve b = -s*m - 0*m for m. 0 Let j(r) = 2*r**3 + 11*r**2 + 13*r - 6. Let o(f) = f**3 + 10*f**2 + 12*f - 7. Let n(t) = 2*j(t) - 3*o(t). Let w be n(9). Solve -v + w*v = 3 for v. -3 Suppose 2*j + 2*l = 2, 4*j - 3*l + 0*l + 3 = 0. Solve j = 4*y + 4 - 8 for y. 1 Let f(b) = -b**2 + 5*b - 3. Let g be f(4). Solve t - 2 = g for t. 3 Let h(b) = b + 13. Let q(n) = -2*n**3 + 2*n**2 - 3*n + 2. Let x be q(1). Let m = -10 + x. Let g be h(m). Solve -g - 7 = 3*w for w. -3 Let f be 0/((-7 - -1) + 8). Solve f = -6*d + 14 + 4 for d. 3 Suppose 8*z = z + 1092. Suppose -10*y = -z - 4. Solve y = -8*r + 4*r for r. -4 Let f(a) = -a**3 - 37*a**2 - 72*a - 62. Let l be f(-35). Solve -2*p + l = -0 for p. 4 Let p = -225 + 249. Let s(y) = 24*y - 1. Let h be s(1). Let u = p - h. Solve -u + 4 = 3*z for z. 1 Suppose 34*a - 8 = 32*a. Solve -a*k + 7*k = 0 for k. 0 Let g = 225 + -224. Solve -3*y + 14 = -g for y. 5 Let j be (-26 + 11)*(-2)/(-5). Let c = j + 12. Let y = c - 1. Solve y = -2*o + o for o. -5 Let z = 180 + -180. Solve z = 2*i + i for i. 0 Suppose 10 = 3*m - 5*w, -w + 5*w = -8. Suppose m = 4*s - 2*s - 3*r - 17, s - 3*r = 16. Solve j - s = 1 for j. 2 Let j be (-2)/5 + 54/10. Suppose 3*x = -4*r - 7, j*x - 2*r = -5*r + 3. Suppose v - x*v = 0. Solve v = 2*q - 0*q - 4 for q. 2 Suppose -3*f - 3*z = -2*z + 39, -4*f - 5*z - 63 = 0. Let v = f - -19. Suppose 0 = 8*p - v*p - 6. Solve -3*y + 12 = -p*y for y. -4 Let i(a) = 5*a**2 - 6*a - 13. Let c(t) = -t**2 + 1. Suppose 1 = -2*m - 1. Let p(q) = m*i(q) - 4*c(q). Let f be p(7). Solve 4*x - 2 = f for x. 1 Let g(k) = k**2 + 10*k - 5. Let w be 0/3 + (-12 - -1). Let s be g(w). Suppose -3*h + s*h - 15 = 0. Solve -2*q = -h*q - 3 for q. -1 Let n = 282 - 280. Solve -4 = n*p - 2 for p. -1 Let t = -592 + 592. Solve t = -2*n + 91 - 89 for n. 1 Let s(j) = -j - 5. Let p be s(-5). Suppose 0*k - 4*k + 20 = p. Suppose 2*w = k*w - 6. Solve -3 = m + w*m for m. -1 Suppose 5*v + 15 = 5*b, 8*v = 5*v - 2*b + 16. Solve -m + 0 = v for m. -2 Let p be (-4)/(-14) - 285/(-105) - 3. Solve -4*c + 12 + 4 = p for c. 4 Suppose -3*s + 22 = -k, 3*k = -4*s + 19 + 19. Suppose -3*x + s + 13 = 0. Solve -3*v = -x*v - 16 for v. -4 Suppose -3*a - 4 = -i, -a + 3*i = -7 + 19. Solve a = s + s + 6 for s. -3 Let s be -1 + (5 - 8) + 6. Solve -j + 6 = s*j for j. 2 Suppose 9*z = 4*z - 5*y + 15, 0 = -z - 2*y + 2. Suppose z = 4*n - 2*d - 4, -5*n - 2*d + 28 = 0. Solve 3*v - 1 = -n for v. -1 S
{ "pile_set_name": "DM Mathematics" }
es. -0.0000012 Let x = -11.996 + 11.996031892. What is x rounded to 6 decimal places? 0.000032 Let z = 1976.2 + -1436.15. Let i = 544 - z. Round i to zero decimal places. 4 Let v = 1.6 - -42.4. Let d = v - 44.6. Let n = -0.43 - d. Round n to 1 decimal place. 0.2 Let u = -659.02488314 - 0.01341686. Let t = 1577 - 918. Let j = u + t. Round j to three dps. -0.038 Let p = -5534 - -5588.15. What is p rounded to the nearest ten? 50 Let j = -1637 + 1637.7524. Let o = 1.0817 - j. Round o to 2 decimal places. 0.33 Let r = -155 + 163. Let g be 5/50*r*(-1 + -35124). Round g to the nearest 10000. -30000 Let z(j) = 239782*j + 3. Let i(k) = 119890*k + 2. Let q(l) = -7*i(l) + 4*z(l). Let f be q(-1). What is f rounded to the nearest ten thousand? -120000 Let g = 3251215 - 3251217.987519. Let r = g + 52.987609. Let t = -50 + r. Round t to four dps. 0.0001 Let i = 0.424496 + -2.5545672. Let y = 2.13 + i. Round y to 6 dps. -0.000071 Let i = -899.9020088 + 1081.929. Let w = -203.22698942 + i. Let r = 21.2 + w. What is r rounded to 7 decimal places? 0.0000018 Let c = 3.87 + -4.641. Let j = 8.79 - 8.07. Let x = c + j. Round x to 2 decimal places. -0.05 Let m = -805236144.9998703 + 805236109. Let k = -36 - m. What is k rounded to six decimal places? -0.00013 Let m = 5928.15183 + 0.74817. What is m rounded to the nearest one hundred? 5900 Let f = 5206 + -2166. Round f to the nearest one hundred. 3000 Let s = -167.91 + 1185.51. Round s to the nearest 10. 1020 Let l = -18398.9994569 + 18399. What is l rounded to five decimal places? 0.00054 Let f = -44 + 44. Suppose 3*c + 4*m + 27434975 + 29295045 = 0, -2*c - 4*m - 37820020 = f. What is c rounded to the nearest one million? -19000000 Let h = -205 - -369. Let k = 163.99999881 - h. What is k rounded to seven dps? -0.0000012 Suppose -8*j = 14 - 54. Let g(h) = h**3 - 6*h**2 + 4*h - 1. Let t be g(j). Let l be 3 + t + 1*6440003*1. What is l rounded to the nearest one million? 6000000 Let a = -19786 - -19786.00028434. Round a to 4 decimal places. 0.0003 Let g = 7590.8 + -6200. Round g to the nearest one hundred. 1400 Let n = 2.221 - 2.02. Let p = 0.093 - n. Round p to 2 dps. -0.11 Let a = 7687.6 + -18523. Round a to the nearest 100. -10800 Let d = 19492 - 56983. Let i = 134147 - 48656. Let p = d + i. What is p rounded to the nearest 10000? 50000 Let t = -25 + 28. Suppose -t*c + 5 = -c - y, 3 = 3*c - 3*y. Let p be c*12042/66 + 2/11. What is p rounded to the nearest 100? 700 Let w = 129.6 + -141. Let k = w - -112.4. Let g = k + -101.0000033. What is g rounded to six decimal places? -0.000003 Let f = -168 + 174. Let g(y) = -14*y**2 + 5*y + 33. Let q be g(f). What is q rounded to the nearest ten? -440 Let k = -14193967774 + 14193967088.4704143. Let t = 354.5295484 + k. Let i = t + 331. What is i rounded to six decimal places? -0.000037 Let h = -287 - -286.764. Let o = -0.1 + h. Round o to two dps. -0.34 Suppose -104*m - 140081 + 25713 = -106*m. What is m rounded to the nearest 10000? 60000 Let x = -32 + 31.928. Let f = 30.928 - x. Let m = 31.09 - f. Round m to 2 dps. 0.09 Let g = -43473035651.00021 + 43471901879. Let m = g + 1133724. Let f = m - -48. What is f rounded to 4 decimal places? -0.0002 Let u = -212 + 355. Suppose 4*r + 5*y + u = 0, 4 = -3*r - 3*y - 101. What is r rounded to the nearest ten? -30 Let r = -9848 + 9967.905. Let t = r - 120. What is t rounded to one decimal place? -0.1 Let w be -3 + (-4)/(4/(-3)). Let m(h) = 2*h**2 - 873. Let n be m(w). Round n to the nearest 10. -870 Let l = 1158303 - 471463. Round l to the nearest one thousand. 687000 Let b be (1 - 8/6) + 380/15. Suppose -b*z = -23*z - 34. Let r(j) = 1909*j**2 + 20*j - 41. Let v be r(z). Round v to the nearest one hundred thousand. 600000 Let s = -3473 + 3473.000002617. What is s rounded to seven dps? 0.0000026 Let j = 579.4463961 + -579.45. Round j to 5 dps. -0.0036 Let u be 5/(-15) - -3*2/(-9). Let k be (-50039997)/(-6)*2 - u. Round k to the nearest 1000000. 17000000 Let t = -1773.97454 - -1774. What is t rounded to 2 dps? 0.03 Let k(a) = -8*a + 212*a**2 - 47*a**3 - 44 - 110*a**2 - 99*a**2. Let c be k(13). Round c to the nearest 10000. -100000 Let y = -4363.9984782 - -4364. What is y rounded to four dps? 0.0015 Let x = 95 + -103.95. Let z = 83.05 + x. What is z rounded to zero decimal places? 74 Let w = 8.5711 - 9.021195. Let z = w - -0.446. Round z to 3 dps. -0.004 Let g(i) = 29*i**2 + 37 - 12*i**2 - 29*i**2 + 143*i. Let x be g(-33). Round x to the nearest one thousand. -18000 Let a be (-7)/42 + (49526965/(-30) - 1). Round a to the nearest one million. -2000000 Suppose -135 = 7*p - 16*p. Suppose p*x + 8*x = 0. What is x rounded to the nearest 1000000? 0 Let f = 293341 - 446611. Round f to the nearest 10000. -150000 Suppose 2353*k - 77890800 = 2327*k. Round k to the nearest 1000000. 3000000 Suppose -6*a + 137 - 41 = 0. Let o be (-8 + 2)*(-24)/a. Suppose 2*p - 273 = o*p. Round p to the nearest 10. -40 Let n = 96927.2231 + -96919. Let f = n - 8.15. Round f to 2 dps. 0.07 Let i = 45 - -1.5. Let v = 85.6 + -0.6. Let y = i - v. What is y rounded to the nearest 10? -40 Let q = -2875 - -2878.802. Let n = q + -3.82661. What is n rounded to three decimal places? -0.025 Let g = 102455.784 + -102635.783572. Let n = g - -180. What is n rounded to 4 dps? 0.0004 Let j = -479730 - -479729.99771581. What is j rounded to 5 dps? -0.00228 Let r = 6.94 - 72.34. Let t = 0.094 + 56.906. Let y = r + t. Round y to the nearest integer. -8 Suppose -4631 = 3*f - 101. Let m = 2690 + f. What is m rounded to the nearest one hundred? 1200 Let b(o) = 8*o - 2*o - 4*o**2 - 2 - 3*o + 9*o**2. Let i be b(1). Suppose -13*f + 49980000 = -i*f. What is f rounded to the nearest 1000000? 7000000 Let n(i) = -101999*i**2 + i. Suppose 2*o = -10, -b + 0*o - 2*o = 4. Suppose -8*v = b + 2. Let y be n(v). Round y to the nearest 10000. -100000 Let s = -2.088 - -0.168. Let d = s - -1.368. Round d to 1 dp. -0.6 Let d = 116225 - 202215. What is d rounded to the nearest 1000? -86000 Let a = -0.31 - 43.69. Let m = a + 100. Let r = m + -55.99951. What is r rounded to 4 decimal places? 0.0005 Let d = -442297126.502367 - -442297304. Let x = d + -336.497074. Let i = -159 - x. What is i rounded to 4 dps? -0.0006 Let o = 1458 + -1464.87. Let b = 1.26 + o. What is b rounded to one decimal place? -5.6 Let p = -23.368 - -25.7911. Round p to 1 dp. 2.4 Let z = 0.1736 + 782.8264. Let c = -783.000000702 + z. Round c to seven dps. -0.0000007 Let w = 4.985 + -5. Let l = w - -23.015. Let t = l + -23.00325. Round t to 4 decimal places. -0.0033 Let f = 734 + -1633. Let i = f - -843.8. What is i rounded to the nearest 10? -60 Let c(f) = -5 - 7*f + 3*f + 3*f + 19. Let q be c(9). Let p(h) = 90001*h - 5. Let o be p(q). Round o to the nearest 100000. 500000 Let a(g) = -3*g**2 + 10*g - 26. Let l be a(14). Let b be l/(-30) + (-2)/(-10). Let j be (-4)/b + 10081/4. Round j to the nearest one hundred. 2500 Suppose 0 = 3*u + 4*r - 1196468, 2*u - 4*r = -2*u + 1595272. Round u to the nearest 10000. 400000 Let c = -0.68 + -1.62. Let w = c + 234.3. Let m = w - 232.119. Round m to two dps. -0.12 Let h = 8 - 8.19. Let z = h + 0.08. Let b = -0.1100656 - z. What is b rounded to five decimal places? -0.00007 Let c = -723 + 726.99. Let f = c + -9.89. Round f to the nearest 10. -10 Let v = -1778719 + -7354281. Round v to the nearest 100000. -9100000 Let s = -12113 - -12046.749. Round s to 1 decimal place. -66.3 Let i = -24838 - -24838.00082385. Round i to 4 decimal places. 0.0008 Let x(c) = -2*c**3 + 15*c**2 - 2*c + 14. Let z = 642 - 632. Let i be x(z). What is i rounded to the nearest one thousand? -1000 Suppose -8 = 6*p - 7*p, 5*c - 4*p + 285100032 = 0. What is c rounded to the nearest 1000000? -57000000 Suppose 0 = -0*f + 2*f - 2040000. Suppose 23*a = 19*a - f. Round a to the nearest ten thousand. -260000 Let z = 0.043902 + -216.933902. What is z rounded to the nearest 100? -200 Let c = -519 - -9661. Let r(h) = -7394*h**2 + 8*h - 6. Let l be r(6). Let i = c + l. Round i to the nearest 10000. -260000 Let t = -59.60985805 + 59.61. Round t to six decimal places. 0.000142 Let f = 0.127 + 50.873. Let s = f + -133. Let j = -81.999999 - s. Round j to seven dps. 0.000001 Let p = -764512207 - -152404652. Let i = 612107229.999733 + p. Let g = -325 -
{ "pile_set_name": "DM Mathematics" }
Let z = 94 + y. Is z a composite number? False Let q(d) = -11*d - 6. Suppose -4*t = -6*t. Suppose -m - 8 = -t. Is q(m) prime? False Suppose v + 4 - 104 = 0. Let o = v - -49. Is o a prime number? True Suppose 10*q + 13 = -b + 5*q, -52 = 4*b + 4*q. Let g = b - -15. Suppose -4*f = g*m - 62, 2*f + 80 = 5*m - 3*m. Is m a composite number? False Is -17308*(-6)/26 - 28/182 prime? False Suppose 0 = 3*j - 1 - 5. Suppose -2*u - 913 = -j*n + 377, 4*u = 16. Is n a composite number? True Let c be (-11888)/(-56) - 4/14. Suppose 0*k + 4*k - c = -z, -4*z = 4*k - 212. Is k composite? False Let u = 500 - -267. Is u a prime number? False Suppose 49*l - 31*l - 464958 = 0. Is l a prime number? False Let u(o) = -3*o + 138. Let b be u(0). Let f = b - 55. Is f a composite number? False Suppose 3946 = s - 1688. Suppose -2*b = 2*d - s, 2*b = d - 1835 - 994. Suppose -p = p + 10, -4*g - 3*p = -d. Is g a prime number? True Is (-2 + (-6)/(-2))/(2/19178) composite? True Suppose 4*g - g + 3*o + 6 = 0, -2*o - 8 = 3*g. Is g/(-6)*45429/38 a composite number? False Suppose 4*v = -41 + 53. Suppose -987 = -v*b + 2*u, -3*b + 1316 = b + 2*u. Is b a composite number? True Let x = -1214 + -19. Let r = x - -1882. Is r a prime number? False Let a = -33 - -15. Let u be (-2)/(-6) + (-8994)/a. Let g = u + -267. Is g a composite number? False Suppose -2*w = -3*l + 3912 + 1177, 0 = 2*w + 10. Is l a composite number? False Let k = -1161 + 2342. Is k prime? True Let l = -7 + 7. Let v(m) = -33*m**2 - 2*m + 99*m**2 + l - 6 + 5. Is v(-1) a composite number? False Let w = -175 - -308. Suppose 3090 + w = 11*d. Is d a prime number? True Suppose -2*n = 3*i - 83754 - 61987, 0 = 3*i - n - 145735. Is i a prime number? False Let r(n) = -15*n**2 - n. Let v be r(-1). Let k be (-7)/(v/4)*293. Suppose k = i + i. Is i a composite number? False Let n(w) = 454*w**3 + 2*w**2 - 13. Is n(3) a composite number? False Suppose 0 = -i + 3*u + 16, 3*i + 5*u - 5 = -13. Let a(o) = -7*o**2 + 38*o**2 - 3*o + 23*o**2 + i. Is a(-3) a prime number? True Let x(j) = -129*j**2 + 3*j - 3. Let f(n) = 130*n**2 - 2*n + 2. Let a(s) = 6*f(s) + 5*x(s). Is a(2) a composite number? True Let i = -151811 - -249804. Is i prime? False Let c(y) = -6470*y**3 - 8*y**2 - 6*y + 1. Is c(-1) a composite number? False Let f = -139 - -141. Is f/(-20)*-2 + (-22902)/(-165) a composite number? False Let f(s) = s + 7. Let l be f(-5). Let g(q) = -q**2 - q + 1. Let w(i) = 23*i**3 + 8*i**2 - 1. Let d(t) = 6*g(t) + w(t). Is d(l) composite? True Let i = -6935 + 17697. Is i/22 - (-12)/(-66) a composite number? True Suppose -4*x + 1071 = 5*o - 0*x, 2*o = -4*x + 426. Let d = o - 148. Is (0 + -2 + 3)*d composite? False Suppose -3*z + s + 14128 = 0, -z - 2*z - 4*s + 14153 = 0. Is z a composite number? True Let o(j) = -20*j - 7. Suppose 4*z = -5*x + 48, x = 3*z + 2*z - 31. Suppose 0 = 6*f - z*f - 3. Is o(f) a composite number? False Suppose -3*y = -8763 + 1812. Is y prime? False Let t be 1 - -7 - (-20)/(-5). Suppose -2*l = 2*l - 4*s - 452, s + t = 0. Is l prime? True Suppose 3*s = 4*t - 7*t + 27, -2*s + 13 = t. Suppose -4*v - 20 = 5*d, -d - 3 = -t*v + 1. Suppose 9 = -3*q, v*q = 5*j + 2*q - 409. Is j prime? True Suppose c - 3*s = -7*s + 10301, -5*s - 51630 = -5*c. Is c composite? False Suppose 0 = 2*b + 6, -y + 2664 = 2*y - 4*b. Is y/(-6)*6/(-4) prime? False Let f be 1/((-51)/27 - -2). Suppose -f*a - 1628 = -7*a. Let u = 1227 + a. Is u a composite number? True Let c(z) = 150*z**3 + 2*z**2 - 18*z + 59. Is c(3) prime? True Let j(g) = g**3 - g**2. Let u(y) = -y**3 + 5*y**2 - 6*y - 6. Let h(l) = -2*j(l) - u(l). Let k be h(-6). Suppose -k + 22 = -4*m. Is m a composite number? True Let i(z) = -z + 24. Let r be i(18). Suppose 3*u = -5*x + r*x - 1951, -2*x + 3916 = u. Is x composite? True Let b(r) be the first derivative of 8*r**3/3 - 17*r**2/2 - 15*r + 18. Is b(-24) a composite number? True Let y(f) = 3*f**3 - 9*f**2 + 2*f - 19. Is y(9) prime? False Is (375125 + -9)/14 - 14/(-2) composite? False Let c(z) = -4*z**3 - 12*z**2 - z + 6. Let y be 78/(-6) - 1*-4. Let h = y - -4. Is c(h) a prime number? True Suppose -5*d = -d - 12. Let i be 844*(-1)/(d + -4). Suppose -n - i = -5*n. Is n a prime number? True Suppose -t + 2 = -2. Suppose -t*g = z - 8, 3*z - 2*z = 3*g - 13. Is g a prime number? True Let b = -865 + 2594. Let c = 2672 - b. Is c a composite number? True Suppose 0 = 2*x - 27 + 89. Is (-1)/5 - x/5 a prime number? False Suppose -665*j + 21830 = -655*j. Is j prime? False Let w = 36 - 32. Suppose -w*m = -3*p - 175, -m = 2*p + p - 40. Is m prime? True Let b = 66 - 58. Is (-2938)/(-18) + b/(-36) a prime number? True Suppose -5*v - 2*w + 3*w + 335 = 0, 2*w = -5*v + 350. Suppose -2*y + v = -y. Suppose 4*j = 220 - y. Is j composite? True Let r = -2718 + 3005. Is r composite? True Let n(r) = 66*r**2 - 15*r + 7. Let i be 6*(16/(-6))/(-2). Is n(i) a composite number? False Is 6752/3 - (-6 - 17/(-3)) composite? False Let s(l) = l + 2. Let u(f) = -7*f**2 + 11*f - 49. Let z(h) = -3*s(h) - u(h). Is z(14) prime? False Let y(z) = z**2 + 8*z + 9. Let b be y(-6). Let k be -7 + 5 + 18 + b. Suppose -x + 75 - k = 0. Is x prime? False Let v be (0 - 231/(-15)) + 6/(-15). Suppose j + 256 - 25 = -5*q, 4*q - 1242 = 5*j. Is j/(-5) - 3/v prime? False Let j(m) = 8*m**2 - 19 + 4*m - 4*m - 3*m. Is j(6) composite? False Let g(d) = -2*d + 5. Let o be g(3). Is 1 + o - (-802 - 1) prime? False Suppose 5*j + 38685 = 20*j. Is j composite? False Let i = -761 - -784. Let n = -124 + 216. Suppose 4*r - n = 2*b, 0*b = -r - 4*b + i. Is r a composite number? False Let n be (6/(-2) + 2)*-1. Is (2/(16/121048))/(1/n) a composite number? False Is (4006 - -4) + (-3 - (5 - 7)) a prime number? False Let n(y) = -y**2 + 3*y - 12. Let u be n(-5). Let d = u - -81. Suppose -9 - d = -2*b. Is b a prime number? True Let d = -1023 - -17944. Is d composite? False Suppose y - 8 = 3*g, -4*y - 5*g - 4 = -2. Suppose 5*m = y*m - 66. Is 14/(-77) + (-4646)/m prime? True Let y(b) = -3 - 12*b - 7*b + 25 + 18*b + 8*b**2. Is y(11) composite? True Let q be 22/4 - (-12)/(-24). Suppose 0 = -3*f + 5*v + 27, 0*f - q = -2*f - v. Suppose f*a + 171 = 911. Is a composite? True Suppose 5*w - 31 = -t, 0 = 2*w - 5*t - 1 - 6. Suppose w*a - 7232 = 6910. Is a prime? True Let b(w) = -w - 1. Let u(t) = -10*t + 15. Let o(c) = -2*b(c) - u(c). Suppose 1 = n, 0*g + 17 = 2*g - n. Is o(g) composite? True Suppose 2*q = 238 + 2050. Suppose 7*y - q = 3*y. Let d = y - 167. Is d composite? True Let h(t) = 39*t**2 - 54*t - 35. Is h(24) composite? True Suppose 253*y = 247*y + 64518. Is y a prime number? True Suppose -3*s + 3*d + 8618 = 8*d, 3*s - 8633 = -2*d. Is s prime? False Suppose -2*b = -281 - 429. Is b composite? True Suppose -26*i + 10787 = -12795. Is i a composite number? False Let s(n) = n**3 + 3*n**2 - 4*n + 2. Let w be (-4)/30 + (-290)/75. Let g be s(w). Suppose -3*m - i + 41 = -6*i, -g*i = 2*m - 6. Is m a prime number? True Let v = 2293 - 4437. Let s = v + 4591. Is s a prime number? True Let z be (-6)/9 + (-15)/(-9). Is z - ((0 - 9) + 3) prime? True Let g(y) be the first derivative of 131*y**3/6 + 2*y**2 - 6*y - 2. Let n(a) be the first derivative of g(a). Is n(3) a prime number? True Let u = -25 + 22. Let h be (u + 1)/(10/7115). Let c = -882 - h. Is c prime? True Let j(w) = 44*w**3 + 3*w**2 - 5*w + 7. Let q(l) = -l - 6. Let b be q(-9). Is j(b) prime? False Suppose -5*q + o - 64 = -10*q, -44 = -2*q - 5*o. Let i = -9 + q. Suppose -259 = -i*j - h, -h = -4*j - 3*h + 346. Is j prime? False Let p be (-5)/(30/(-6))*(-1 + 1). Suppose -z - z + 2686 = p. Is z a composite number? True Let o(c) = 37*c**2 - 23*c + 9. Is o(6) prime? False Is 5*(-12)/630 - 519922/(-42) a composite number? False Suppose -3*d - v = -2725, 7*v = 3*d + 9*v - 2729. Is d a prime number? True Let h be 8/(-10) + (-9)/45. Let t be 5/(-15) + h/(-3). Suppose 0 = -2*x - 4*g + 1106, x - g + 2*g - 555 = t. Is x a composite number? False Let i = -20 + 40. Suppose 0 = 3*a - 2*a + 5, 5*r = -4*a - i. Suppose 2*h + 2*l = 5*l + 59, -3*h + 4*l + 86 = r. Is h composite? True Is 8831/((-144)/(-20) + -7) a composite number? True Suppose 5*r - 1346 = 3189. Is r a prime number? True Suppose 2*j + 3*t = 128, -4*j + 3*t + 20 + 272 = 0. Is 20/j + (-1139)/(-7) prime? True Let j(s) = -2523*s - 8. Let m be j(-3). Let
{ "pile_set_name": "DM Mathematics" }
y millilitres are there in fourty-four fifths of a litre? 8800 How many months are there in fifteen sixteenths of a millennium? 11250 What is 32/5 of a hour in seconds? 23040 How many meters are there in 3/10 of a kilometer? 300 What is 4662.489us in seconds? 0.004662489 How many micrometers are there in 4.793154nm? 0.004793154 What is 8/25 of a millimeter in micrometers? 320 Convert 7.905032ml to litres. 0.007905032 What is 1/10 of a milligram in nanograms? 100000 What is one twentieth of a tonne in kilograms? 50 What is 6/25 of a litre in millilitres? 240 What is 67647.76ml in litres? 67.64776 What is 8.624319t in milligrams? 8624319000 What is thirty-two fifths of a meter in centimeters? 640 What is 42/5 of a decade in years? 84 What is one fifth of a kilometer in centimeters? 20000 What is 1741.014 kilograms in milligrams? 1741014000 Convert 269.505kg to nanograms. 269505000000000 How many years are there in 1/10 of a millennium? 100 How many minutes are there in 32662.2s? 544.37 What is fifty-nine fifths of a millennium in centuries? 118 How many millilitres are there in one quarter of a litre? 250 How many decades are there in 3/10 of a millennium? 30 How many millilitres are there in 37/5 of a litre? 7400 How many millilitres are there in 88929.17 litres? 88929170 What is twenty-one eighths of a microgram in nanograms? 2625 How many decades are there in 7584.83 centuries? 75848.3 Convert 0.043721um to centimeters. 0.0000043721 How many minutes are there in 557579.1ns? 0.000009292985 How many millilitres are there in 972636.8 litres? 972636800 What is 49524.04 grams in kilograms? 49.52404 How many years are there in fifty-one fifths of a millennium? 10200 What is three eighths of a day in seconds? 32400 Convert 49838.82 meters to kilometers. 49.83882 Convert 3408.19 nanometers to micrometers. 3.40819 How many milligrams are there in 6.385463 micrograms? 0.006385463 What is 25/2 of a meter in millimeters? 12500 What is 67.42744 litres in millilitres? 67427.44 What is 57/2 of a kilogram in grams? 28500 What is seven quarters of a litre in millilitres? 1750 How many nanometers are there in 34/5 of a micrometer? 6800 How many minutes are there in 8.076865 days? 11630.6856 How many minutes are there in twenty-nine thirds of a week? 97440 What is 51/5 of a gram in milligrams? 10200 What is 44034.69 meters in micrometers? 44034690000 How many millilitres are there in 51349.32 litres? 51349320 How many micrometers are there in five quarters of a millimeter? 1250 What is 7311.08t in kilograms? 7311080 How many litres are there in 10.72915ml? 0.01072915 How many nanoseconds are there in 6.080992 microseconds? 6080.992 What is 799749.2l in millilitres? 799749200 What is 452570.1 months in decades? 3771.4175 What is five quarters of a decade in months? 150 Convert 390146.7l to millilitres. 390146700 How many litres are there in 7299.021 millilitres? 7.299021 Convert 172589.3 millennia to decades. 17258930 How many kilograms are there in 0.7171772mg? 0.0000007171772 How many months are there in 8/3 of a decade? 320 Convert 0.5497813 nanometers to centimeters. 0.00000005497813 What is 9/10 of a kilometer in centimeters? 90000 What is 55.789326us in hours? 0.000000015497035 What is twenty-one fifths of a minute in seconds? 252 What is thirty-one fifths of a century in decades? 62 How many meters are there in 3/25 of a kilometer? 120 What is seventeen quarters of a day in minutes? 6120 How many microseconds are there in 3/5 of a millisecond? 600 How many millilitres are there in 9.27844 litres? 9278.44 What is 2.513859ng in grams? 0.000000002513859 Convert 20.40899l to millilitres. 20408.99 Convert 896.195 weeks to hours. 150560.76 What is 9/10 of a litre in millilitres? 900 How many kilograms are there in 6030.65 milligrams? 0.00603065 What is 41/2 of a meter in centimeters? 2050 How many nanograms are there in one tenth of a microgram? 100 What is twenty-one eighths of a micrometer in nanometers? 2625 How many millilitres are there in 7120.002l? 7120002 How many nanometers are there in nine tenths of a micrometer? 900 What is 5/8 of a kilometer in meters? 625 How many micrometers are there in 0.4792568 meters? 479256.8 How many millilitres are there in three fifths of a litre? 600 How many meters are there in 995220.9 millimeters? 995.2209 How many microseconds are there in 456697.7s? 456697700000 How many grams are there in twenty-seven halves of a kilogram? 13500 What is sixty-nine halves of a kilometer in meters? 34500 Convert 992.1921 millennia to months. 11906305.2 How many millilitres are there in fifty-one quarters of a litre? 12750 How many minutes are there in 11/10 of a hour? 66 What is 802.1808ug in grams? 0.0008021808 How many nanograms are there in 23272.78 grams? 23272780000000 How many micrograms are there in eighteen fifths of a milligram? 3600 How many minutes are there in 13/4 of a hour? 195 How many seconds are there in 1/4 of a hour? 900 How many nanograms are there in 3/50 of a microgram? 60 How many years are there in three fifths of a millennium? 600 How many minutes are there in two ninths of a week? 2240 How many micrometers are there in 7.278501 meters? 7278501 How many millimeters are there in 72/5 of a meter? 14400 How many litres are there in 0.3495602 millilitres? 0.0003495602 How many meters are there in 62235.56 micrometers? 0.06223556 Convert 9.398089m to kilometers. 0.009398089 How many millilitres are there in 73.41823 litres? 73418.23 What is 1/16 of a millimeter in nanometers? 62500 How many litres are there in 27050.57 millilitres? 27.05057 How many nanograms are there in twenty-seven quarters of a microgram? 6750 What is fourty-nine fifths of a litre in millilitres? 9800 What is 53/5 of a milligram in micrograms? 10600 What is 91.02574mg in kilograms? 0.00009102574 What is 51.66417 litres in millilitres? 51664.17 What is 17/2 of a litre in millilitres? 8500 What is 4.788323 kilograms in grams? 4788.323 What is 142.8254ml in litres? 0.1428254 What is fourty-seven quarters of a millennium in decades? 1175 Convert 555.6548 millimeters to micrometers. 555654.8 What is 16.79126 minutes in nanoseconds? 1007475600000 What is 29/5 of a litre in millilitres? 5800 What is 0.6987019 millilitres in litres? 0.0006987019 What is three fifths of a centimeter in micrometers? 6000 How many millimeters are there in 4.45614km? 4456140 How many milligrams are there in 2/125 of a gram? 16 How many centimeters are there in three tenths of a meter? 30 How many milligrams are there in eleven halves of a gram? 5500 How many centuries are there in 3721.378 millennia? 37213.78 Convert 0.67176 nanograms to tonnes. 0.00000000000000067176 What is 18/5 of a kilogram in grams? 3600 What is 0.6273239 litres in millilitres? 627.3239 What is 53928.11 decades in centuries? 5392.811 Convert 0.9435803 days to hours. 22.6459272 How many millilitres are there in fourty-nine quarters of a litre? 12250 How many milliseconds are there in 68109.39 weeks? 41192559072000 How many days are there in 166.35195 minutes? 0.1155221875 How many millilitres are there in 13/4 of a litre? 3250 How many micrometers are there in eighteen fifths of a centimeter? 36000 How many milligrams are there in one twentieth of a gram? 50 How many years are there in 16772.29 centuries? 1677229 How many grams are there in 25/2 of a kilogram? 12500 What is thirteen fifths of a second in milliseconds? 2600 How many centuries are there in 17.883372 months? 0.01490281 What is 65.21529kg in grams? 65215.29 How many millilitres are there in 99505.21 litres? 99505210 What is one quarter of a micrometer in nanometers? 250 How many months are there in 11/4 of a year? 33 What is 1/10 of a milligram in micrograms? 100 Convert 2533.7931 months to centuries. 2.11149425 Convert 332.6704ng to grams. 0.0000003326704 How many centimeters are there in 93004.81 nanometers? 0.009300481 How many millilitres are there in 3/25 of a litre? 120 How many months are there in nine tenths of a century? 1080 What is one twentieth of a centimeter in micrometers? 500 What is 21/2 of a decade in years? 105 What is 749.8731 centimeters in meters? 7.498731 How many milligrams are there in 0.8956589 kilograms? 89
{ "pile_set_name": "DM Mathematics" }
units digit of 193741? 1 What is the hundred thousands digit of 187997? 1 What is the units digit of 479371? 1 What is the hundreds digit of 20351742? 7 What is the hundred thousands digit of 285528? 2 What is the hundred thousands digit of 219044? 2 What is the hundreds digit of 271832? 8 What is the tens digit of 1698690? 9 What is the millions digit of 16140328? 6 What is the thousands digit of 10156609? 6 What is the millions digit of 5671183? 5 What is the tens digit of 543218? 1 What is the millions digit of 17056784? 7 What is the ten thousands digit of 5275577? 7 What is the thousands digit of 16255661? 5 What is the thousands digit of 2835317? 5 What is the hundred thousands digit of 3857572? 8 What is the units digit of 247457? 7 What is the ten thousands digit of 9752580? 5 What is the thousands digit of 44014? 4 What is the units digit of 5305447? 7 What is the ten thousands digit of 373289? 7 What is the units digit of 947738? 8 What is the units digit of 405950? 0 What is the millions digit of 2059924? 2 What is the hundred thousands digit of 16775925? 7 What is the hundred thousands digit of 4713315? 7 What is the thousands digit of 11259072? 9 What is the thousands digit of 194435? 4 What is the hundred thousands digit of 6945363? 9 What is the units digit of 7530882? 2 What is the millions digit of 5405040? 5 What is the units digit of 5199749? 9 What is the ten thousands digit of 3599272? 9 What is the hundreds digit of 471097? 0 What is the thousands digit of 10496436? 6 What is the hundreds digit of 586990? 9 What is the thousands digit of 9654? 9 What is the thousands digit of 646821? 6 What is the tens digit of 574992? 9 What is the hundred thousands digit of 132300? 1 What is the hundreds digit of 13558556? 5 What is the hundreds digit of 282606? 6 What is the ten thousands digit of 15681? 1 What is the hundreds digit of 6495749? 7 What is the thousands digit of 21995? 1 What is the units digit of 306620? 0 What is the thousands digit of 6481446? 1 What is the hundreds digit of 3438001? 0 What is the thousands digit of 2631495? 1 What is the millions digit of 7010582? 7 What is the units digit of 89569? 9 What is the units digit of 2445722? 2 What is the ten thousands digit of 696954? 9 What is the tens digit of 214386? 8 What is the tens digit of 197681? 8 What is the units digit of 608008? 8 What is the tens digit of 612785? 8 What is the thousands digit of 248906? 8 What is the tens digit of 352921? 2 What is the units digit of 105455? 5 What is the hundreds digit of 5601777? 7 What is the hundreds digit of 958621? 6 What is the hundreds digit of 1586423? 4 What is the hundred thousands digit of 6548003? 5 What is the thousands digit of 155376? 5 What is the thousands digit of 39915210? 5 What is the ten thousands digit of 1245517? 4 What is the units digit of 313587? 7 What is the thousands digit of 34592? 4 What is the hundreds digit of 22297? 2 What is the thousands digit of 147295? 7 What is the units digit of 12581285? 5 What is the hundreds digit of 395260? 2 What is the hundreds digit of 9606578? 5 What is the hundreds digit of 95133? 1 What is the millions digit of 20712448? 0 What is the units digit of 1908781? 1 What is the millions digit of 1626852? 1 What is the thousands digit of 4475066? 5 What is the hundreds digit of 2204694? 6 What is the thousands digit of 563903? 3 What is the millions digit of 4084859? 4 What is the tens digit of 1980897? 9 What is the tens digit of 5718892? 9 What is the ten thousands digit of 2350074? 5 What is the thousands digit of 95601? 5 What is the ten millions digit of 26360736? 2 What is the ten thousands digit of 328377? 2 What is the hundred thousands digit of 234363? 2 What is the hundreds digit of 343298? 2 What is the units digit of 679413? 3 What is the hundred thousands digit of 3732082? 7 What is the ten thousands digit of 671246? 7 What is the units digit of 30706751? 1 What is the hundreds digit of 18329329? 3 What is the units digit of 493419? 9 What is the hundred thousands digit of 10661690? 6 What is the hundreds digit of 26708? 7 What is the ten thousands digit of 215374? 1 What is the hundred thousands digit of 745127? 7 What is the tens digit of 3089? 8 What is the hundred thousands digit of 174357? 1 What is the units digit of 637626? 6 What is the units digit of 10402814? 4 What is the thousands digit of 29791? 9 What is the hundred thousands digit of 2689635? 6 What is the tens digit of 1241047? 4 What is the tens digit of 2351808? 0 What is the hundreds digit of 668388? 3 What is the hundred thousands digit of 246318? 2 What is the tens digit of 4219316? 1 What is the hundreds digit of 4328654? 6 What is the units digit of 122313? 3 What is the tens digit of 2842597? 9 What is the hundred thousands digit of 1418939? 4 What is the hundred thousands digit of 1307947? 3 What is the hundreds digit of 57471? 4 What is the hundred thousands digit of 348497? 3 What is the hundred thousands digit of 237473? 2 What is the hundreds digit of 982599? 5 What is the thousands digit of 429649? 9 What is the tens digit of 341493? 9 What is the tens digit of 265860? 6 What is the hundreds digit of 2010085? 0 What is the tens digit of 1167569? 6 What is the hundred thousands digit of 574419? 5 What is the hundreds digit of 3712862? 8 What is the thousands digit of 16175804? 5 What is the thousands digit of 11466653? 6 What is the units digit of 8396759? 9 What is the thousands digit of 5950629? 0 What is the tens digit of 3815220? 2 What is the hundred thousands digit of 11861333? 8 What is the hundreds digit of 974849? 8 What is the units digit of 10396533? 3 What is the hundred thousands digit of 2416008? 4 What is the hundred thousands digit of 5662077? 6 What is the thousands digit of 13801622? 1 What is the units digit of 20283? 3 What is the tens digit of 498846? 4 What is the thousands digit of 936872? 6 What is the ten thousands digit of 4279737? 7 What is the ten thousands digit of 323502? 2 What is the hundred thousands digit of 433742? 4 What is the units digit of 35320968? 8 What is the hundreds digit of 99255? 2 What is the units digit of 376452? 2 What is the units digit of 246651? 1 What is the ten thousands digit of 15575496? 7 What is the units digit of 591829? 9 What is the thousands digit of 1619219? 9 What is the hundreds digit of 354313? 3 What is the tens digit of 1239798? 9 What is the hundreds digit of 776123? 1 What is the tens digit of 312790? 9 What is the tens digit of 3768215? 1 What is the tens digit of 87599? 9 What is the hundred thousands digit of 627593? 6 What is the ten thousands digit of 4189197? 8 What is the ten thousands digit of 2029943? 2 What is the tens digit of 9098551? 5 What is the ten thousands digit of 279969? 7 What is the millions digit of 4001456? 4 What is the ten thousands digit of 16368236? 6 What is the units digit of 42976? 6 What is the units digit of 243036? 6 What is the units digit of 851030? 0 What is the hundreds digit of 2523758? 7 What is the units digit of 502728? 8 What is the ten thousands digit of 939040? 3 What is the hundreds digit of 1901310? 3 What is the hundreds digit of 223793? 7 What is the hundreds digit of 1602263? 2 What is the units digit of 12708915? 5 What is the ten thousands digit of 285438? 8 What is the hundreds digit of 11201346? 3 What is the hundreds digit of 152087? 0 What is the ten thousands digit of 10487968? 8 What is the hundreds digit of 3354844? 8 What is the thousands digit of 2468749? 8 What is the thousands digit of 268229? 8 What is the thousands digit of 117772? 7 What is the ten thousands digit of 18879274? 7 What is the ten thousands digit of 103561? 0 What is the thousands digit of 743891? 3 What is the hundreds digit of 1362178? 1 What is the hundreds digit of 1909237? 2 What is the ten thousands digit of 1395649? 9 What is the units digit of 170341? 1 What is the millions digit of 4112542? 4 What is the hundred thousands digit of 1541894? 5 What is the ten thousands digit of 5087658? 8 What is the ten thousands digit of 10863396? 6 What is the ten millions digit of 32393943? 3 What is the millions digit of 2420870? 2 What is the units digit of 5108925? 5 Wh
{ "pile_set_name": "DM Mathematics" }
**3 + 0. Find the second derivative of b(t) wrt t. 8 Let a(g) = -8833*g**4 - 3*g + 7502. Let m(l) = 52999*l**4 + 17*l - 45013. Let s(j) = -17*a(j) - 3*m(j). Differentiate s(i) with respect to i. -35344*i**3 Suppose -7*m + 2*y + 24 = -2*m, -15 = -2*m - y. Let f be (-1)/4*-6*(8 - m). What is the first derivative of 636*n + f - 8 - 644*n wrt n? -8 Suppose -3*x = 3*z - 123, -31 = z - 2*z + 4*x. What is the second derivative of 26*p**2 + z*p + 39*p - 86*p**2 wrt p? -120 Let l(b) be the first derivative of -1030*b**7/7 + 515*b**3/3 + 765. What is the third derivative of l(w) wrt w? -123600*w**3 Let u(f) be the first derivative of 693*f**5/5 - f**4 - f**2/2 - 301*f + 488. What is the second derivative of u(c) wrt c? 8316*c**2 - 24*c Suppose -105*h + 294 = -7*h. Let l(o) be the second derivative of 0*o**4 + 0*o**h - 15/2*o**2 + 8*o + 0 + 1/5*o**5. Differentiate l(w) wrt w. 12*w**2 Let k(r) = -r**3 - 4*r**2 + 8*r + 11. Let y be k(-8). What is the derivative of y*t - 95*t - 98*t + 28 wrt t? 10 Let l(x) be the second derivative of 73*x**5/60 + 46*x**3/3 + 60*x**2 + 175*x. Let a(r) be the first derivative of l(r). What is the derivative of a(t) wrt t? 146*t Let p = -160 - -162. Find the second derivative of -462*b**5 + 6 + 6 - b + 392*b**5 - p*b**2 wrt b. -1400*b**3 - 4 Find the second derivative of 1608*j + 8302*j + 1270*j - 5989*j**5 - 4600*j**5 wrt j. -211780*j**3 Let k(z) be the second derivative of -1071*z**5/5 - 1049*z**4/12 - z**3/6 + 295*z. What is the third derivative of k(q) wrt q? -25704 Differentiate -44 - 307 - 346 + 1153*j**4 + 37 wrt j. 4612*j**3 Let o(u) = 3*u**4 - 2*u**3 + 62*u**2 + 140*u. Let i(t) = -t**4 + t**3 - 2*t**2 - t. Let w(q) = 2*i(q) + o(q). Find the second derivative of w(d) wrt d. 12*d**2 + 116 Let d(x) = -x**3 + 5*x**2 - 7*x + 9. Let o be d(3). What is the third derivative of -o*t**2 - 93 + 45 + 41 - 8*t**3 - 8*t**3 wrt t? -96 What is the third derivative of 16*l**5 - 783*l**4 - 1370*l**2 - 15 + 13 - 18*l**5 + 410*l**4 wrt l? -120*l**2 - 8952*l Suppose 4 - 8 = -2*l. Suppose -75 = -5*p - l*o, 5*p = -4*o - 0*o + 65. What is the third derivative of 12*j**2 + 18*j**2 + 4*j**3 - p*j**2 wrt j? 24 Let w(k) = -1355*k**3 - 898*k**2 - 8*k - 5. Let z(n) = -2708*n**3 - 1798*n**2 - 18*n - 11. Let x(i) = 9*w(i) - 4*z(i). Find the third derivative of x(r) wrt r. -8178 Let r = -218 + 226. Differentiate -7 + 28*t - 13 + r - 109 with respect to t. 28 Let w(f) = -f**3 + 12*f**2 + f + 14. Let d be w(12). What is the second derivative of -d - 19 + 98*t**2 + 21 + 2*t wrt t? 196 Let u(i) = -11992*i**2 - 8*i + 28150. Let h(l) = 3997*l**2 + 3*l - 9387. Let d(m) = -11*h(m) - 4*u(m). What is the second derivative of d(j) wrt j? 8002 Let n = -29 + 31. Find the second derivative of -n*t - 16 - 15 - 13 + 164*t**3 + 47 wrt t. 984*t Let t(v) be the second derivative of 1/3*v**4 + 37/2*v**2 + 0 - 3/2*v**3 + 26*v. Differentiate t(x) with respect to x. 8*x - 9 Let u(k) = -11731*k**4 + 3*k**2 + 3*k - 6693. Let o(l) = 46925*l**4 - 11*l**2 - 11*l + 26770. Let q(f) = 3*o(f) + 11*u(f). Differentiate q(n) wrt n. 46936*n**3 Find the first derivative of 695425*n - 5604 - 695438*n - 22*n**4 + 86*n**4 wrt n. 256*n**3 - 13 Suppose 19*v - 23*v = -52. Suppose 4*k - 1 = -y + 4, y + v = 5*k. What is the second derivative of 6 + 6 - 23*i - 12 + 19*i**k wrt i? 38 Let n = 432 + -426. Let j = -35 - -56. What is the derivative of -7 - 2*o + j*o + 8*o - n*o wrt o? 21 Let m(q) be the third derivative of 0 + 0*q + 1/24*q**4 - 1/3*q**5 - 5/2*q**3 - 32*q**2. Find the second derivative of m(h) wrt h. -40 Let u(b) be the third derivative of b**6/60 + 7*b**5/12 + 643*b**4/24 - 13*b**2 + 2. What is the second derivative of u(i) wrt i? 12*i + 70 Find the third derivative of -v**3 - 4*v**2 + 3*v**3 - 1546*v + 13*v**2 + 1532*v + 29*v**4 wrt v. 696*v + 12 Let h(x) = -x**3 - 24*x**2 + 28*x + 79. Let i be h(-25). What is the first derivative of -89*q**i - 55 - 9 + 1 wrt q? -356*q**3 What is the first derivative of -55 - 310 - 460*a**3 + 40 + 1601*a**3 wrt a? 3423*a**2 What is the second derivative of 372*y**3 + 129*y + 153*y**3 - 337*y**3 + 587*y**3 - 2 wrt y? 4650*y Suppose 7*z - 58649 - 104913 = 0. What is the derivative of -23207 - 8*q - 8*q + z wrt q? -16 Let c(n) be the first derivative of 160*n**7/7 + n**6/3 - 380*n**3 - n**2/2 + 495. Find the third derivative of c(i) wrt i. 19200*i**3 + 120*i**2 Let c = 95 - 84. What is the second derivative of 35*h**2 - 2 + 1 + 0*h**2 - 5*h**2 - c*h - 4*h**2 wrt h? 52 Let a = 4874 - 4870. Let b(x) be the first derivative of -17*x**2 + 0*x**a + 0*x + 47 + 0*x**3 - 27/5*x**5. What is the second derivative of b(z) wrt z? -324*z**2 Find the third derivative of -9399*u**4 - 4*u + u**2 + 9400*u**4 + 10*u**6 + u**5 + 167 - 6*u**5 wrt u. 1200*u**3 - 300*u**2 + 24*u Let l(h) = -72*h - 11. Let y(g) = 73*g + 9. Suppose 3 = 4*q + 23. Let x(k) = q*l(k) - 6*y(k). Differentiate x(c) with respect to c. -78 Let x be -2 - (0/(-2) + -1). Let p be (x/3 + 3)*3. What is the first derivative of 8*r - 2*r - 8 - p + 8*r wrt r? 14 Let t(s) = -1. Let j(g) be the first derivative of g**2/2 + 16*g - 1. Let d = -10271 + 10272. Let x(y) = d*t(y) - j(y). Find the first derivative of x(w) wrt w. -1 Let m(i) be the second derivative of 5 + 0*i**4 + 3/10*i**5 - 1/10*i**6 - 7*i + 1/3*i**3 - 45/2*i**2. What is the second derivative of m(q) wrt q? -36*q**2 + 36*q Let i(m) be the first derivative of -10*m**3/3 - 131*m**2/2 + 9*m - 2844. Find the second derivative of i(o) wrt o. -20 What is the second derivative of 65 + 78 + 80 - 223 + 12090*i**2 + 3898*i wrt i? 24180 What is the first derivative of 345 - 6886*o**3 + 670 + 6891*o**3 - 610*o**2 wrt o? 15*o**2 - 1220*o What is the second derivative of 489*k - 378*k + 541*k - 437*k**5 + 152*k + 2928*k**5 wrt k? 49820*k**3 Let t(c) be the first derivative of 809*c**3/3 - 2749*c**2/2 + 623. What is the second derivative of t(x) wrt x? 1618 Let q(d) = 2*d - 15. Let t be q(8). Suppose -t = -2*z + 5. Find the first derivative of 4*c - 15 + 8*c + z*c - 6*c wrt c. 9 Let v(u) = 2*u + 58. Let l be v(-26). Find the second derivative of -20*p**2 - 2 + 18*p**2 - 37*p**3 + l*p + 0*p**2 wrt p. -222*p - 4 Suppose 3*l = -l - 16, 3*l = k - 22. Let g(h) = -h + 14. Let u be g(k). What is the second derivative of -891*f**4 + 2*f**5 + 891*f**u + 24*f wrt f? 40*f**3 Let u(t) = t**3 + t - 2. Let n(i) = -83*i**2 + 6*i - 4 - i + 17*i**3 - 4*i - 74*i**2 + i. Let o(j) = n(j) - 2*u(j). Find the third derivative of o(l) wrt l. 90 Let v(m) = -105*m + 183. Let t(z) be the second derivative of z**3/6 - 15*z - 5. Let f(b) = 5*t(b) - v(b). Differentiate f(i) wrt i. 110 Differentiate -112*m + 90*m + 141*m + 60*m + 75*m - 687 with respect to m. 254 Let u(k) be the second derivative of 11*k**2 + 1 + 0*k**3 - 41/20*k**5 - 71*k + 0*k**4. Differentiate u(n) wrt n. -123*n**2 Suppose 0 = -f - 5*b - 2 - 5, -4*f + 20 = -4*b. Let t be 28/((-8)/(-36)*1). Find the first derivative of -f*x**3 + t*x**4 - 110*x**4 + 3*x**3 - 11 wrt x. 64*x**3 What is the second derivative of 147*n - 4160*n**5 + 1603*n + 3686*n**5 wrt n? -9480*n**3 Suppose -2*o - 193 = -3*n, 5*o + 55 = 4*n - 193. Find the first derivative of -36*k**4 - 2*k**4 + 9*k**4 + 215 - 28*k**4 + n wrt k. -228*k**3 Let h(j) be the third derivative of -432*j**5/5 - 2297*j**4/12 - 3*j**2 - 2*j - 2. What is the second derivative of h(t) wrt t? -10368 Let i(y) = 3*y + 6. Let b be i(8). Differentiate 24*a**3 + 24*a**3 + 26*a**3 - 70*a**3 - b*a**2 - 183 with respect to a. 12*a**2 - 60*a What is the third derivative of -63*v**2 + 363*v**2 - 2505*v**3 + 3154*v**3 wrt v? 3894 Suppose 5*d = 3*t - 2*t - 36, 5*t - 40 = -3*d. Let v be 3*(196/132 - (-2)/t). Find the second derivative of q + 3*q**5 + 6*q**5 - 5*q**v wrt q. 80*q**3 Let m(i) = i**3 - 56*i**2 + 52*i + 168. Let h be m(55). Find the third derivative of -5*b**2 - b**3 + 15*b**3 - 2*b**2 - 12*b - 2*b + 135*b**h wrt b. 894 Let h = -646 + 648. Find the third derivative of h*w - 65*w**3 - 6*w + 2*w + 2*w + 142 - 2*w**2 wrt w. -390 Let w(p) = 3740*p**2 - 376*p - 39. Let l(c) = 936*c**2 - 94*c - 9. Let y(v) = 26*l(v) - 6*w(v). Find the second derivative of y(k) wrt k. 3792 Let t(i) be the third derivative of -1/30*i**6 + 0*i + 0*i**5 + 0 + 17/6*i**4 - 1/70*i**7 - 1/6*i**3 - 110*i**2. What is t
{ "pile_set_name": "DM Mathematics" }
5*d + 7, -4*q + 0*d - 5*d = -16. Calculate the remainder when (q/4)/(6/48) is divided by 7. 4 Let r(o) = -o + 10. Let b = 4 + 2. Let z be r(b). Suppose h + h = -4, -24 = -2*x - z*h. Calculate the remainder when 46 is divided by x. 14 Suppose -49 = -14*p + 35. What is the remainder when 95 is divided by p? 5 Let a = -5 - -11. What is the remainder when ((8/10)/(4/150))/2 is divided by a? 3 Let u = -14 - -16. What is the remainder when u is divided by 2? 0 Suppose 4*p - 6*p = -52. Suppose 0 = -2*j + 10 - 4. Suppose j*c - 70 = -2*c. Calculate the remainder when p is divided by c. 12 Suppose x + 3*x - 16 = 0. Suppose -f = -2*j + 43, x*j = -3*f + 89 + 12. What is the remainder when 44 is divided by j? 21 Suppose 4*s - 40 = -4*v, 3*s + 22 = 3*v + 52. Calculate the remainder when 36 is divided by s. 6 Let u = 13 + -19. Let i(r) = 3*r**3 + 8*r**2 + 9*r + 6. Let a(q) = q**3 + q + 1. Let n(p) = -2*a(p) + i(p). What is the remainder when n(u) is divided by 12? 10 Suppose -2 - 7 = -3*n. Let b = n - -5. What is the remainder when 13 is divided by b? 5 Let g = 31 - 17. What is the remainder when g is divided by 4? 2 Let x be (2/2)/(1/31). Let z = -13 + x. Suppose q = 3*q - z. Calculate the remainder when 17 is divided by q. 8 Suppose 6*j = 2*j + 4*t + 24, -2*t + 54 = 4*j. Calculate the remainder when 21 is divided by j. 10 What is the remainder when 39 is divided by 6/3 - (-19 - 0)? 18 Suppose 0*m + 3*m - 3 = 0. Let x = m + 7. Calculate the remainder when 16 is divided by 148/16 + (-2)/x. 7 Let p = 11 + 0. Calculate the remainder when p is divided by (2 - 2 - -1) + 2. 2 Suppose w + 3*p = 24, -5*p = 2*w - 54 + 10. What is the remainder when 35 is divided by w? 11 Let i = 2 - -7. Calculate the remainder when 35 is divided by i. 8 Let c be 2/3*(0 + 291). Calculate the remainder when 20 is divided by c/18 + (-2)/(-9). 9 Suppose 3*b + 46 = -8. Let h = b - -35. What is the remainder when 32 is divided by h? 15 Calculate the remainder when (87/6)/(7/14) is divided by 16. 13 Suppose -3*i = -i - 4. Let p be i/(-4)*2*7. Let x = p + 12. What is the remainder when 14 is divided by x? 4 Suppose 3*w - d + 62 = 0, -3*w - 52 = -d + 5*d. What is the remainder when ((-29)/(-2))/((-5)/w) is divided by 15? 13 Let h = -2 - -2. Let r = h + 4. Calculate the remainder when r is divided by 2. 0 Let m = 1 - -3. Suppose -m*v = v - 100. Calculate the remainder when 58 is divided by v. 18 Let t(y) = -351*y**3 - 2*y**2 + 2*y - 1. Let h be t(1). Suppose -2*d = -34 + 10. Calculate the remainder when 1/(-5) - h/10 is divided by d. 11 Let j = -11 - -16. Suppose -j*i + 4*c + 143 = 6*c, 4*c = 3*i - 65. What is the remainder when i is divided by 14? 13 What is the remainder when 27 is divided by ((-2)/3)/(14/(-147))? 6 Suppose 7*r - 50 - 76 = 0. What is the remainder when r is divided by 5? 3 Let y = 29 + -13. Calculate the remainder when 79 is divided by y. 15 What is the remainder when 10*1/(-15)*-9 is divided by 4? 2 Suppose 0 = -3*h - 3*p + 318, -11*h + p = -6*h - 554. Calculate the remainder when h is divided by 28. 26 Let y = 14 + -8. Let a be y/2 - 4/(-2). Suppose 3*x - 2*l + 0*l = 39, -a*x + 3*l + 65 = 0. Calculate the remainder when x is divided by 4. 1 Suppose m - 26 = 4*s, -4*s - 3 = 4*m - 7. Calculate the remainder when 28 is divided by m. 4 Let j = 68 - 48. Let w = -12 + j. Suppose 5*i - 52 - 58 = 0. What is the remainder when i is divided by w? 6 Suppose 0 = 3*t - 3*x - 17 - 28, 15 = -3*x. Calculate the remainder when 68 is divided by t. 8 Suppose -15*f + 18*f = 21. Suppose 3*d - 4*h + 0*h = 48, -3*d = -5*h - 45. What is the remainder when d is divided by f? 6 Let u(y) = y + 2. Suppose 4*o + 41 = 5*z, 2*z - 7 = -o - 1. What is the remainder when z is divided by u(0)? 1 Suppose 73 + 112 = 5*v - 5*t, 4*t = -v + 27. Suppose -a = -0*a - l - 10, -2*a - 3*l = -v. What is the remainder when 38 is divided by a? 12 Let t = 22 + 27. Let q(l) be the third derivative of -l**4/24 + 17*l**3/6 + l**2. What is the remainder when t is divided by q(0)? 15 Let i be 2/(-5) + 12/30. What is the remainder when (0 + (4 - i))/2 is divided by 2? 0 Calculate the remainder when (5 - -21)*(-9)/(-6) is divided by 2 + 0 + 1 + 11. 11 Suppose 3*n - n = 34. What is the remainder when 32 is divided by n? 15 Suppose -4*t - 4 = 4*j + 44, -5*t + 110 = -5*j. What is the remainder when (j - -2)/(1/(-3)) is divided by 12? 9 Suppose 3*p = 5*p - 36. Let w be 4/2 + 4*2. Let x = p - w. What is the remainder when 22 is divided by x? 6 Let m = 37 - 16. What is the remainder when 81 is divided by m? 18 Let f = -3 + 0. Calculate the remainder when (f - 1)*(-94)/8 is divided by 16. 15 Suppose 19*a = 23*a - 396. Calculate the remainder when a is divided by 25. 24 Let b(u) = -u + 6. Calculate the remainder when 15 is divided by b(2). 3 Calculate the remainder when (-5558)/(-98) + 2/7 is divided by 12. 9 Let m = -26 + 40. Suppose -p + 3*p - m = 3*c, -4*c + 16 = 0. What is the remainder when p is divided by 7? 6 Suppose -48 = -0*w - 4*w - 2*j, w + 2*j - 18 = 0. What is the remainder when 127 is divided by w? 7 Let k(q) = q**2 - q + 11. Let j = -75 + 106. Calculate the remainder when j is divided by k(0). 9 Suppose 4 = 3*b - 2. Let k(r) = 4*r. Calculate the remainder when 30 is divided by k(b). 6 Suppose -11 = -2*q - w, q - 4*w = 5*q - 32. Suppose 7*d = -2*d + 18. Calculate the remainder when d is divided by 5/3 + (-2)/q. 0 Suppose -5*y + 122 = 22. Suppose 0 = -k, 2*a - a = k + y. What is the remainder when 39 is divided by a? 19 Let d(b) = -b**2 + 7*b - 1. Let v be d(5). Suppose -y + v + 1 = 0. What is the remainder when 39 is divided by y? 9 Let r be (-2)/(-2) + 53 + 1. What is the remainder when r - ((-2 - -3) + -2) is divided by 1/(-3 - (-58)/19)? 18 Suppose 0 = -2*s + 10 + 36. What is the remainder when s is divided by 5? 3 Let n = -13 - -41. Suppose -28 = -2*x - 5*t, -4*t + n = 3*x - 0*t. What is the remainder when x is divided by 2? 0 Suppose 0 = h - 49 - 9. Suppose -61*v = -66*v + 75. Calculate the remainder when h is divided by v. 13 Suppose -2*g = -4*g + 3*r + 35, 0 = -2*g + 5*r + 45. Calculate the remainder when 2/g - 109/(-5) is divided by 8. 6 Suppose 6*r + 3*x = 3*r + 252, 160 = 2*r + 4*x. Suppose 0 = -4*t + 2*k + 135 - 451, -t - r = 4*k. Calculate the remainder when t/(-6) + 1/(-3) is divided by 7. 6 Let g(y) = -4*y + 11. Let r be (-1 - 2)*(-3 - -1). Suppose -r*c + c - 55 = 0. What is the remainder when g(c) is divided by 19? 17 Suppose -2*f - 2*n = -12, -4*f - 5*n = -0*n - 28. Suppose 2*w = 4*w - 6. Suppose w*r - 3 = -0*r. What is the remainder when f is divided by r? 0 Suppose 3*h + 4 = -2, -2*z + 24 = -4*h. Let j = 88 + -73. What is the remainder when j is divided by z? 7 What is the remainder when 4/(-8)*122*-1 is divided by 16? 13 Let p(u) = -u**2 + u + 1. Let l = 4 + -1. Let c be p(l). What is the remainder when 61 is divided by 14/10*-3*c? 19 Let k be (-18)/24*(-64)/2. Let q = 8 - k. What is the remainder when (q/(-6))/(3/9) is divided by 5? 3 Suppose -s = 3*s - 4. Suppose c - 2 = s. Let a(b) = 4*b**2 + 2*b + 4. Calculate the remainder when a(c) is divided by 16. 14 Let n(w) = -2*w - 3. Let q be n(-3). What is the remainder when 23 is divided by (q + -8)*(-16)/10? 7 Let c be 10 - (-3 - -9 - 3). Let d = c - 4. Calculate the remainder when 7 is divided by d. 1 Suppose -4*h + 0*h + 88 = 0. Let x = 1 - 2. Let g = 9 + x. Calculate the remainder when h is divided by g. 6 Let x(d) = -d**3 + 3*d**2 - d + 6. Let b be x(3). Suppose 0 = -w - b*w + 72. Calculate the remainder when w is divided by 7. 4 Let p = -1 - -5. Let g be 2 + -2*(-3 + p). Let w(z) = z**2 + 8. What is the remainder when 30 is divided by w(g)? 6 Suppose -z - 175 = 4*z. Calculate the remainder when (-1195)/z + 1/(-7) is divided by 12. 10 Suppose -2*x - 3*x + 70 = 0. Suppose v - 6 = -1. What is the remainder when x is divided by v? 4 Suppose 3*f - 2*k - 32 = 0, 4*k - 7 = -3*f + 1. Calculate the remainder when (4/f)/(2/76) is divided by 10. 9 Let q = -2 + 0. Suppose -3*b = -4*b + 15. Calculate the remainder when -1*(q/(-2) - 44) is divided by b. 13 Suppose -5*o = x + 73, 3*x - 83 = 5*o - x. Let p = -6 - o. What is the remainder when 26 is divided by p? 8 Suppose -3*h = -2*h - 32. Let a(r) = 6*r + 1. Let g be a(1). Let x = g + h. What is the remainder
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from axaxxaaxxxax. Give prob of sequence xxax. 35/396 Calculate prob of sequence wwps when four letters picked without replacement from wwwmnwwpwnsnsmnpwn. 7/3060 Four letters picked without replacement from roppororprpoopopo. What is prob of sequence rrro? 1/340 Calculate prob of sequence aaa when three letters picked without replacement from aafaafqfafa. 4/33 What is prob of sequence flg when three letters picked without replacement from lgfgfwgfeggggwlglw? 1/68 Three letters picked without replacement from {u: 7, x: 5, i: 4}. What is prob of sequence uui? 1/20 Two letters picked without replacement from mmaammaaaaa. Give prob of sequence mm. 6/55 Calculate prob of sequence rr when two letters picked without replacement from ffrfrfffffrfrfffffr. 10/171 Three letters picked without replacement from xrutxturxern. Give prob of sequence ruu. 1/220 Four letters picked without replacement from {p: 3, j: 1, a: 1, i: 1, h: 1}. What is prob of sequence ihjp? 1/280 What is prob of sequence hq when two letters picked without replacement from hvkqwwvwkwvkk? 1/156 What is prob of sequence fwvt when four letters picked without replacement from {x: 2, f: 2, w: 10, y: 3, t: 1, v: 1}? 5/23256 What is prob of sequence nq when two letters picked without replacement from mknfq? 1/20 Two letters picked without replacement from {o: 1, f: 1, i: 1}. Give prob of sequence fi. 1/6 Three letters picked without replacement from {c: 11, h: 9}. What is prob of sequence chc? 11/76 Three letters picked without replacement from rrrrrrryyyriiiriy. What is prob of sequence iyr? 3/85 Four letters picked without replacement from {h: 2, a: 4, m: 1, p: 1}. Give prob of sequence hahp. 1/210 Four letters picked without replacement from bbbbbbbbbkbbbbbkkbbw. What is prob of sequence bkkk? 4/4845 Two letters picked without replacement from {r: 7, i: 2, y: 1, n: 3, c: 4}. What is prob of sequence nn? 3/136 What is prob of sequence cg when two letters picked without replacement from ggggggggggcgggcggcc? 10/57 What is prob of sequence gygg when four letters picked without replacement from {g: 9, y: 2}? 7/55 What is prob of sequence jm when two letters picked without replacement from jmjrjrmjrmjrmwwjjr? 14/153 Calculate prob of sequence nh when two letters picked without replacement from {h: 4, t: 1, m: 2, g: 3, n: 1}. 2/55 Three letters picked without replacement from hghghyhyygggh. What is prob of sequence gyy? 5/286 Two letters picked without replacement from {m: 1, e: 1, c: 16}. Give prob of sequence em. 1/306 What is prob of sequence bd when two letters picked without replacement from {d: 1, s: 1, b: 2}? 1/6 Calculate prob of sequence qqz when three letters picked without replacement from {q: 3, z: 2, b: 5, d: 3}. 1/143 Calculate prob of sequence vl when two letters picked without replacement from llwhvqvx. 1/14 Two letters picked without replacement from kfcki. Give prob of sequence ik. 1/10 Three letters picked without replacement from {y: 12, q: 3}. What is prob of sequence yyq? 66/455 What is prob of sequence vmd when three letters picked without replacement from vdydlmdvdd? 1/72 What is prob of sequence ssj when three letters picked without replacement from piecsjjcs? 1/126 Calculate prob of sequence xhxx when four letters picked without replacement from xyxyxxxyh. 5/252 What is prob of sequence ih when two letters picked without replacement from jojjihhioj? 2/45 What is prob of sequence dff when three letters picked without replacement from {f: 2, j: 1, d: 1}? 1/12 Three letters picked without replacement from zzz. What is prob of sequence zzz? 1 Two letters picked without replacement from {r: 3, a: 1, x: 3, n: 6, z: 2}. Give prob of sequence ax. 1/70 What is prob of sequence ebe when three letters picked without replacement from {w: 1, e: 1, n: 1, b: 1, x: 1}? 0 Calculate prob of sequence ph when two letters picked without replacement from {e: 2, d: 3, p: 6, h: 4, k: 2}. 3/34 Three letters picked without replacement from {w: 4, f: 3}. Give prob of sequence fwf. 4/35 Three letters picked without replacement from {u: 2, w: 4, t: 1, z: 1, i: 1}. What is prob of sequence utu? 1/252 Calculate prob of sequence ss when two letters picked without replacement from {s: 2, l: 6}. 1/28 What is prob of sequence eby when three letters picked without replacement from ueuebuuuuuuybbiuu? 1/680 Calculate prob of sequence lfw when three letters picked without replacement from lwllwwwwlwwwflrwllw. 35/2907 What is prob of sequence mdu when three letters picked without replacement from duuduududmudddddmd? 5/204 Calculate prob of sequence lly when three letters picked without replacement from {l: 2, y: 8}. 1/45 Three letters picked without replacement from {n: 1, y: 5, w: 1, k: 1, j: 3}. Give prob of sequence jwn. 1/330 Three letters picked without replacement from {g: 1, o: 2, d: 1, j: 1}. What is prob of sequence jdo? 1/30 Calculate prob of sequence hxa when three letters picked without replacement from {a: 2, h: 2, x: 2}. 1/15 Three letters picked without replacement from {g: 4, p: 1, z: 1, c: 5, v: 4}. What is prob of sequence pvg? 8/1365 What is prob of sequence ebee when four letters picked without replacement from ebeeeeebeb? 1/8 Three letters picked without replacement from {i: 3, x: 2, r: 5, v: 6, w: 1}. Give prob of sequence rvr. 1/34 Calculate prob of sequence cqbp when four letters picked without replacement from {q: 2, p: 6, b: 2, c: 1}. 1/330 Three letters picked without replacement from ncbccnbbbcn. Give prob of sequence ccb. 8/165 Calculate prob of sequence dd when two letters picked without replacement from {i: 4, d: 2, f: 1}. 1/21 Two letters picked without replacement from {t: 1, i: 1, n: 2, v: 2}. What is prob of sequence ti? 1/30 What is prob of sequence qqqq when four letters picked without replacement from {q: 9, n: 9}? 7/170 Calculate prob of sequence jfhh when four letters picked without replacement from {f: 1, j: 11, h: 8}. 77/14535 Calculate prob of sequence nfv when three letters picked without replacement from onfoobnvfooooooo. 1/840 Four letters picked without replacement from bmfirwfrwfriw. Give prob of sequence rfrw. 9/2860 What is prob of sequence vyvv when four letters picked without replacement from xvvxvxvvyvvyhxvx? 1/65 Calculate prob of sequence anrs when four letters picked without replacement from {s: 1, a: 1, n: 1, r: 1, f: 1}. 1/120 Two letters picked without replacement from {e: 6, d: 1, y: 5, v: 1, j: 2, w: 2}. Give prob of sequence vy. 5/272 Two letters picked without replacement from {a: 4, y: 3, g: 5}. Give prob of sequence ga. 5/33 Calculate prob of sequence of when two letters picked without replacement from {o: 2, f: 1, k: 1}. 1/6 Calculate prob of sequence oqqq when four letters picked without replacement from {o: 5, q: 8}. 14/143 Four letters picked without replacement from ukrkuxuxkuuurpr. What is prob of sequence kxkx? 1/2730 Two letters picked without replacement from fkhkfkvkklfg. What is prob of sequence vk? 5/132 Four letters picked without replacement from zzzzzlzzzzzzzzzzzzzl. What is prob of sequence zzlz? 8/95 Three letters picked without replacement from sxllssl. What is prob of sequence lss? 3/35 Four letters picked without replacement from {x: 3, y: 3}. Give prob of sequence xyyy. 1/20 Four letters picked without replacement from {k: 5, g: 7}. Give prob of sequence gggg. 7/99 Calculate prob of sequence nl when two letters picked without replacement from {r: 1, u: 1, e: 2, w: 2, l: 1, n: 2}. 1/36 Three letters picked without replacement from {h: 4, p: 3, c: 2, b: 1}. What is prob of sequence bcc? 1/360 Calculate prob of sequence vhv when three letters picked without replacement from {v: 7, h: 7}. 7/52 Calculate prob of sequence fj when two letters picked without replacement from uzzfzjp. 1/42 Four letters picked without replacement from axjxjaaxaxxxxaxmc. What is prob of sequence cjmx? 1/3570 Two letters picked without replacement from hsayyyysyyhhh. Give prob of sequence ha. 1/39 What is prob of sequence pok when three letters picked without replacement from {c: 1, f: 1, k: 5, p: 3, o: 2}? 1/44 Calculate prob of sequence mn when two letters picked without replacement from {q: 2, g: 5, c: 2, n: 1, m
{ "pile_set_name": "DM Mathematics" }
:00 PM? 1:08 PM How many minutes are there between 9:55 AM and 2:21 PM? 266 How many minutes are there between 5:23 PM and 5:05 AM? 702 What is 424 minutes before 12:01 PM? 4:57 AM How many minutes are there between 10:00 PM and 10:35 PM? 35 How many minutes are there between 10:21 AM and 10:59 AM? 38 What is 90 minutes before 6:28 PM? 4:58 PM How many minutes are there between 9:37 AM and 8:34 PM? 657 How many minutes are there between 7:57 AM and 9:06 AM? 69 What is 167 minutes after 4:07 PM? 6:54 PM What is 110 minutes after 4:37 AM? 6:27 AM What is 54 minutes after 7:10 PM? 8:04 PM How many minutes are there between 6:21 AM and 6:54 AM? 33 How many minutes are there between 1:06 AM and 1:25 AM? 19 How many minutes are there between 9:29 PM and 3:22 AM? 353 What is 310 minutes before 3:16 PM? 10:06 AM How many minutes are there between 1:23 PM and 12:04 AM? 641 How many minutes are there between 2:12 PM and 4:58 PM? 166 What is 128 minutes after 6:27 PM? 8:35 PM What is 132 minutes before 10:32 AM? 8:20 AM What is 266 minutes after 12:57 AM? 5:23 AM What is 535 minutes before 8:26 AM? 11:31 PM How many minutes are there between 10:37 AM and 12:28 PM? 111 What is 12 minutes before 2:56 PM? 2:44 PM What is 360 minutes after 9:58 AM? 3:58 PM What is 596 minutes after 3:13 PM? 1:09 AM What is 253 minutes before 1:33 AM? 9:20 PM What is 401 minutes after 1:56 PM? 8:37 PM What is 123 minutes after 5:53 AM? 7:56 AM How many minutes are there between 12:02 PM and 5:44 PM? 342 How many minutes are there between 1:47 AM and 7:46 AM? 359 How many minutes are there between 8:16 PM and 6:03 AM? 587 How many minutes are there between 8:46 PM and 9:28 PM? 42 How many minutes are there between 5:32 PM and 10:21 PM? 289 What is 54 minutes before 9:47 PM? 8:53 PM What is 315 minutes after 8:21 PM? 1:36 AM How many minutes are there between 1:17 AM and 8:26 AM? 429 How many minutes are there between 6:33 AM and 4:42 PM? 609 How many minutes are there between 7:15 PM and 3:42 AM? 507 What is 693 minutes after 12:58 AM? 12:31 PM How many minutes are there between 6:40 PM and 1:44 AM? 424 How many minutes are there between 10:23 PM and 9:51 AM? 688 What is 235 minutes after 8:52 PM? 12:47 AM How many minutes are there between 12:27 PM and 5:47 PM? 320 What is 685 minutes after 1:22 AM? 12:47 PM How many minutes are there between 2:30 PM and 7:30 PM? 300 What is 186 minutes after 4:48 AM? 7:54 AM What is 176 minutes before 8:44 PM? 5:48 PM How many minutes are there between 12:58 AM and 2:45 AM? 107 How many minutes are there between 12:31 AM and 4:43 AM? 252 What is 570 minutes before 2:37 PM? 5:07 AM What is 688 minutes before 11:55 PM? 12:27 PM How many minutes are there between 11:00 PM and 2:05 AM? 185 What is 12 minutes before 1:48 AM? 1:36 AM How many minutes are there between 11:40 PM and 9:00 AM? 560 How many minutes are there between 9:25 PM and 5:47 AM? 502 How many minutes are there between 4:03 AM and 6:41 AM? 158 What is 482 minutes before 5:53 PM? 9:51 AM How many minutes are there between 11:16 PM and 6:58 AM? 462 How many minutes are there between 2:13 PM and 11:05 PM? 532 How many minutes are there between 5:51 AM and 7:58 AM? 127 How many minutes are there between 8:15 PM and 6:49 AM? 634 How many minutes are there between 9:23 PM and 3:51 AM? 388 What is 321 minutes after 9:25 AM? 2:46 PM How many minutes are there between 6:41 PM and 3:53 AM? 552 What is 25 minutes after 4:38 PM? 5:03 PM How many minutes are there between 5:11 AM and 3:07 PM? 596 How many minutes are there between 5:45 AM and 7:45 AM? 120 What is 328 minutes before 1:26 PM? 7:58 AM What is 652 minutes before 2:42 PM? 3:50 AM What is 98 minutes before 12:39 AM? 11:01 PM How many minutes are there between 3:14 AM and 11:04 AM? 470 What is 643 minutes before 7:32 PM? 8:49 AM What is 609 minutes before 10:16 AM? 12:07 AM How many minutes are there between 12:33 PM and 3:26 PM? 173 How many minutes are there between 7:50 PM and 4:02 AM? 492 What is 709 minutes before 8:40 PM? 8:51 AM What is 665 minutes before 4:54 AM? 5:49 PM What is 69 minutes before 12:43 PM? 11:34 AM How many minutes are there between 7:32 AM and 6:37 PM? 665 How many minutes are there between 5:46 AM and 11:45 AM? 359 How many minutes are there between 11:39 PM and 5:50 AM? 371 What is 39 minutes after 8:19 PM? 8:58 PM What is 135 minutes before 3:20 AM? 1:05 AM How many minutes are there between 10:16 PM and 10:10 AM? 714 What is 610 minutes after 4:38 AM? 2:48 PM How many minutes are there between 5:58 AM and 6:12 AM? 14 How many minutes are there between 5:44 PM and 9:15 PM? 211 What is 202 minutes before 1:25 AM? 10:03 PM How many minutes are there between 9:04 AM and 7:09 PM? 605 How many minutes are there between 12:49 PM and 3:13 PM? 144 How many minutes are there between 11:10 AM and 8:22 PM? 552 How many minutes are there between 5:08 PM and 7:54 PM? 166 How many minutes are there between 6:38 AM and 7:49 AM? 71 What is 687 minutes before 4:19 PM? 4:52 AM How many minutes are there between 11:02 PM and 7:39 AM? 517 How many minutes are there between 11:46 AM and 9:35 PM? 589 What is 423 minutes before 9:42 PM? 2:39 PM How many minutes are there between 8:07 AM and 12:18 PM? 251 What is 148 minutes before 8:04 AM? 5:36 AM What is 309 minutes before 9:35 PM? 4:26 PM How many minutes are there between 5:20 AM and 5:02 PM? 702 What is 341 minutes after 2:52 PM? 8:33 PM How many minutes are there between 7:53 PM and 7:18 AM? 685 What is 67 minutes after 12:01 PM? 1:08 PM How many minutes are there between 2:03 PM and 7:35 PM? 332 What is 672 minutes before 11:00 PM? 11:48 AM What is 398 minutes before 2:46 AM? 8:08 PM What is 430 minutes before 10:06 PM? 2:56 PM How many minutes are there between 9:58 AM and 11:42 AM? 104 What is 33 minutes after 4:14 AM? 4:47 AM What is 289 minutes after 6:48 PM? 11:37 PM What is 243 minutes after 7:52 AM? 11:55 AM How many minutes are there between 7:02 PM and 4:58 AM? 596 What is 300 minutes before 4:13 PM? 11:13 AM What is 482 minutes after 3:23 PM? 11:25 PM What is 11 minutes before 9:30 AM? 9:19 AM What is 27 minutes after 11:04 PM? 11:31 PM What is 211 minutes before 9:18 PM? 5:47 PM What is 331 minutes after 8:15 AM? 1:46 PM How many minutes are there between 12:53 PM and 10:29 PM? 576 What is 185 minutes before 12:30 AM? 9:25 PM What is 27 minutes after 7:54 PM? 8:21 PM How many minutes are there between 2:46 PM and 4:47 PM? 121 How many minutes are there between 5:26 PM and 3:56 AM? 630 What is 36 minutes before 2:42 PM? 2:06 PM How many minutes are there between 5:25 AM and 2:31 PM? 546 How many minutes are there between 3:03 AM and 10:40 AM? 457 How many minutes are there between 5:53 AM and 8:43 AM? 170 What is 491 minutes before 8:00 PM? 11:49 AM What is 185 minutes after 12:10 PM? 3:15 PM What is 459 minutes after 2:27 AM? 10:06 AM What is 691 minutes after 10:55 PM? 10:26 AM What is 42 minutes before 5:44 AM? 5:02 AM How many minutes are there between 5:08 PM and 2:59 AM? 591 How many minutes are there between 4:23 PM and 3:44 AM? 681 How many minutes are there between 2:09 PM and 9:59 PM? 470 How many minutes are there between 4:46 PM and 12:09 AM? 443 How many minutes are there between 12:27 AM and 6:52 AM? 385 What is 240 minutes before 4:29 PM? 12:29 PM How many minutes are there between 3:03 AM and 10:55 AM? 472 What is 664 minutes before 10:47 PM? 11:43 AM What is 35 minutes after 11:33 PM? 12:08 AM How many minutes are there between 2:19 AM and 12:07 PM? 588 What is 107 minutes before 1:13 PM? 11:26 AM How many minutes are there between 8:09 PM and 2:51 AM? 402 How many minutes are there between 11:18 AM and 6:41 PM? 443 How many minutes are there between 12:44 AM and 12:38 PM? 714 How many minutes are there between 2:09 PM and 7:36 PM? 327 How many minutes are there between 2:14 PM and 10:06 PM? 472 How many minutes are there between 12:01 PM and 8:14 PM? 493 What is 445 minutes before 10:30 PM? 3:05 PM How many minutes are there between 4:52 PM and 2:22 AM? 570 What is 582 minutes after 5:03 AM? 2:45 PM How many minutes are there between 2:55 AM and 3:05 AM? 10 What is 173 minutes before 5:03 PM? 2:10 PM What is 443 minutes before 7:38 PM? 12
{ "pile_set_name": "DM Mathematics" }
-4175? False Which is bigger: 179 or 29/359? 179 Are -1 and -4/542397609 unequal? True Which is greater: -12.998 or -31764? -12.998 Do -140365 and 2/17 have different values? True Is 677867 bigger than 677805? True Which is smaller: 304451 or -11? -11 Is -8103722/9 bigger than -900413? False Do -231529 and -231817 have the same value? False Are 5218/197 and 27 equal? False Which is smaller: 14222 or 2315? 2315 Is 475 less than 4764/11? False Are 709415626/3 and 236471876 non-equal? True Which is smaller: -1407238/51 or -27592? -1407238/51 Does -37/58935 = -1? False Is 377713369 >= 377713369? True Are -1 and -2/37716343 nonequal? True Which is smaller: 34380348 or -11? -11 Is -75063566 at least -75063568? True Is 104461 at most -8820? False Is -1419158 at least as big as -9934111/7? True Is 10947470 smaller than 10947467? False Which is smaller: 23385965/6 or 3897661? 23385965/6 Which is smaller: 7073663 or 7073662? 7073662 Does 28425682 = 142128411/5? False Is -1/3 smaller than -16529.1866? False Is 95045/67 > 1419? False Which is bigger: 0 or -38/747527? 0 Which is smaller: -1 or 2400/136921? -1 Is -1 smaller than -157/7846? True Which is greater: 36683326 or 36683327? 36683327 Is -2030312 bigger than -1/178? False Which is smaller: 272985 or 0.49? 0.49 Is -28/15359 smaller than 6/41? True Do 0 and 6/7794941 have different values? True Is 92.12541 >= 24/7? True Are -52652/1647 and -33 nonequal? True Which is smaller: 8317868/109 or 76310? 76310 Which is greater: -1485 or -1008640/679? -1485 Which is smaller: -20528 or -1744949/85? -1744949/85 Which is smaller: -1194 or -316129? -316129 Which is smaller: 1 or 16093/50777? 16093/50777 Do -583239 and 3/29 have the same value? False Which is smaller: -1 or 1047/357749? -1 Is -0.11802 smaller than 1322? True Which is smaller: 139695 or -472? -472 Which is greater: 213924 or 2353162/11? 213924 Which is bigger: 7522 or 3557? 7522 Which is smaller: -1126743 or -1126742? -1126743 Which is smaller: -0.1 or -505.746? -505.746 Which is greater: -3040/4133 or 0? 0 Is -327261 equal to -326827? False Is -2658600 equal to -2658603? False Which is greater: 232088 or 232100? 232100 Which is bigger: 1 or -5900/738217? 1 Is -1745650 at least 0.052? False Is 565/46282 smaller than -1? False Which is bigger: 132266/301 or 440? 440 Which is smaller: -15/7 or -1397819? -1397819 Is 204877341 less than 204877340? False Which is bigger: -3261 or -4438302/1361? -3261 Is -3862208 at most -3862157? True Is -1 > -192/1856891? False Is -0.07135 > 1/214? False Which is smaller: -1145/5311 or 0? -1145/5311 Which is smaller: -82/26055013 or 1? -82/26055013 Which is greater: -1094/15289 or 0? 0 Is 3992050 at most as big as 3992057? True Which is bigger: -1443414/5 or -288683? -1443414/5 Which is bigger: 27707 or 27003? 27707 Which is smaller: 262 or -102885/8? -102885/8 Is -3637410/137 < -26550? True Which is bigger: -117 or -801144? -117 Which is smaller: 206832306/19 or 10885911? 206832306/19 Is 357/1931638 >= 0? True Is 198114 != 198121? True Is 3/158 >= 19597? False Which is smaller: -5684838 or -51163552/9? -51163552/9 Is 473582674 greater than 473582674? False Are -13577 and -26191 unequal? True Do 123 and 119098/979 have the same value? False Is 1/58287466 equal to 1? False Is -58304 equal to -4? False Do 111/2679128 and 1 have different values? True Is -7530 greater than or equal to 31100? False Do -227579 and -227849 have the same value? False Which is bigger: 10046/173 or 59? 59 Is 27.26 greater than -0.0687? True Which is bigger: -76750450 or 0.1? 0.1 Which is smaller: 6293 or 5727? 5727 Which is greater: 4/141506505 or 0? 4/141506505 Is 153295 equal to -300? False Do 1 and 2/46940943 have the same value? False Is -3771710 at least as big as -3771686? False Is 18 < -650951/10? False Is 1/4 less than or equal to 5552967? True Which is bigger: -4 or -10249227? -4 Is 2854 smaller than 1400979/491? False Which is smaller: 10264667 or 10264665? 10264665 Is 2806 not equal to 2798? True Is -1 < 2376/25943? True Which is greater: 7683335 or 0.7? 7683335 Which is greater: -1 or -66/777389? -66/777389 Is -1 equal to 16311582? False Is -46 equal to 214560? False Are 22330814 and 0 equal? False Is -102/11 at most 27956? True Are -0.800207888 and 1 unequal? True Is -22230/42217 less than or equal to 0? True Is -3131 at least as big as -90771/29? False Is -4213219 smaller than -4213217? True Is -620011 at least -20/3? False Which is greater: 3154 or -3016? 3154 Is 1 greater than -2/4723415? True Is 17937741 < 17937744? True Is 700591 at most 51? False Is -2/9 at most 5305309? True Is 2884718 > 2884739? False Is -1/90 at most 25743? True Is -1/3 < -2/83097375? True Which is smaller: 1 or 2/67102345? 2/67102345 Which is smaller: -13638902/5 or -2727779? -13638902/5 Is 8222326 at least as big as 8222325? True Is 56.97 greater than or equal to 6094? False Are -16661 and 1964 nonequal? True Which is bigger: 3/182 or 3422? 3422 Which is smaller: -43712 or -44781? -44781 Which is smaller: 478471 or -12? -12 Which is greater: -424064 or -424076? -424064 Is -9292283 not equal to -9292260? True Which is greater: -9772 or -8572? -8572 Which is bigger: -2/23 or -119379/691? -2/23 Is 3923/630 smaller than 7? True Is 1939596/31 at least as big as 62568? False Which is smaller: -57190 or -57167? -57190 Which is smaller: -549 or 243142? -549 Which is smaller: 48/679 or 67? 48/679 Is -77 <= -298/11469? True Which is smaller: -61213091 or -61213077? -61213091 Is 58734 < 58861? True Which is bigger: 704 or -1927? 704 Which is smaller: 3/955 or -1453/10? -1453/10 Is -1 less than -1/5594593851? True Is 1/2 at least 770171243? False Are 36286599 and 145146399/4 equal? False Which is bigger: 10/74205229 or -1? 10/74205229 Which is smaller: 341342496 or 341342492? 341342492 Is -4/9 not equal to 18905470? True Is -67/1730404 <= 1? True Which is bigger: 1148421 or 6890527/6? 6890527/6 Which is greater: 1178373134 or 1178373136? 1178373136 Is -0.134796 bigger than -526/7? True Which is smaller: -2975936 or -2975893? -2975936 Which is bigger: 174326/137 or 1273? 1273 Which is greater: 110060/371 or 297? 297 Is 1031847/5 at most as big as 206368? False Which is greater: -47500292/5 or -9500058? -9500058 Do 9/8 and -4562/539 have different values? True Is 72019 < 68188? False Which is greater: -1 or 102/5772763? 102/5772763 Which is greater: 59758 or 59057? 59758 Which is smaller: -145742/9 or -6? -145742/9 Which is bigger: -132395705 or -132395707? -132395705 Is -1/2 <= -134352? False Which is smaller: 233202 or 233220? 233202 Is -1/16019 > 2/937? False Which is smaller: 1 or -7579/75996? -7579/75996 Which is smaller: -306289 or -27.95? -306289 Is 0.061454775 >= -3/8? True Is -87841/24309 at least as big as -5? True Is 17383 > 16301? True Which is greater: 233.49541 or 1? 233.49541 Does -32000 = -237? False Which is smaller: 2/7 or 103129298? 2/7 Is 85807825 at most as big as 85807835? True Which is smaller: 8405/29943 or 1? 8405/29943 Are -1 and 1/14054959 equal? False Is -0.110124 at most 7? True Which is smaller: 8463731 or -5/29? -5/29 Are -28769 and -6475 equal? False Is -258108017/9 greater than -28678668? False Is 748 bigger than 2686? False Which is greater: -64735 or -69790? -64735 Is -167589820 smaller than -167589821? False Is -3813983 equal to -3813873? False Are -110168 and -109116 unequal? True Is -142034 at least as big as -142065? True Which is greater: -1 or -2533292? -1 Which is smaller: 411439 or 411089? 411089 Which is bigger: 0 or -303/1217326? 0 Which is bigger: 10083/24521 or -1? 10083/24521 Is 2.396 >= 50/2163? True Which is greater: -6710953 or -6710944? -6710944 Which is greater: 691 or 8.3612? 691 Which is smaller: 2988722/5 or 597745? 2988722/5 Is 1 not equal to 5/2900131? True Which is greater: -14267875 or -14267888? -14267875 Which is smaller: 0 or -17111/46? -17111/46 Which is smaller: 8918 or -33/14? -33/14 Which is smaller: -15/12498167 or 1? -15/12498167 Is 468.33 greater than -0.3? True Which is smaller: -12797438 or -12797439? -12797439 Which is greater: -575497 or -575534? -575497 Is -1/63240939 > 0? False Which is smaller: -33698069 or -33698070? -33698070 Is -3919/255899 >= 1? False Which is greater: 1.803 or -42.9
{ "pile_set_name": "DM Mathematics" }
are there in 9.520624 millimeters? 9520624 How many nanometers are there in 13/8 of a micrometer? 1625 What is 65/3 of a week in hours? 3640 What is 868087.4 millennia in decades? 86808740 What is 378.971nm in kilometers? 0.000000000378971 What is 905.81 millennia in years? 905810 How many millilitres are there in twenty-one halves of a litre? 10500 Convert 86555.1 weeks to seconds. 52348524480 What is 5.330291 centuries in months? 6396.3492 How many years are there in 618.8832 centuries? 61888.32 How many litres are there in 0.606408 millilitres? 0.000606408 How many millimeters are there in fourty-five halves of a centimeter? 225 How many millilitres are there in 97.20897 litres? 97208.97 How many decades are there in 13/5 of a millennium? 260 What is 0.1968725 kilograms in milligrams? 196872.5 How many tonnes are there in 624.1028 nanograms? 0.0000000000006241028 What is 27/2 of a meter in millimeters? 13500 What is seventeen quarters of a millennium in years? 4250 How many nanograms are there in seven halves of a microgram? 3500 How many litres are there in 3147.234ml? 3.147234 How many millilitres are there in 43/4 of a litre? 10750 Convert 2293.016 nanometers to millimeters. 0.002293016 How many tonnes are there in 1.76247ug? 0.00000000000176247 How many millimeters are there in 3/32 of a kilometer? 93750 How many minutes are there in 17/2 of a hour? 510 Convert 6621.162 years to millennia. 6.621162 How many seconds are there in 5385.847us? 0.005385847 How many nanometers are there in 3/5 of a micrometer? 600 What is 1/10 of a micrometer in nanometers? 100 What is 49/4 of a litre in millilitres? 12250 How many milligrams are there in 164.6956ng? 0.0001646956 How many millilitres are there in 77/2 of a litre? 38500 What is 3/5 of a kilogram in grams? 600 Convert 0.671673ml to litres. 0.000671673 What is seven quarters of a microgram in nanograms? 1750 What is 9.687108 litres in millilitres? 9687.108 What is one fifth of a millennium in months? 2400 What is 6/25 of a microgram in nanograms? 240 Convert 45915.1 millilitres to litres. 45.9151 What is 13/5 of a tonne in kilograms? 2600 How many months are there in one sixteenth of a century? 75 How many millilitres are there in 9587.193l? 9587193 How many years are there in seventeen tenths of a decade? 17 How many months are there in 7/3 of a century? 2800 How many millilitres are there in 23166.32 litres? 23166320 What is 0.865875 micrometers in meters? 0.000000865875 What is one sixteenth of a kilometer in centimeters? 6250 Convert 1499.74254 seconds to days. 0.01735813125 What is 1950620.4 months in centuries? 1625.517 What is 1/4 of a hour in minutes? 15 Convert 0.0733701 years to millennia. 0.0000733701 Convert 42.57167 litres to millilitres. 42571.67 What is twenty-five halves of a litre in millilitres? 12500 Convert 459342.5 tonnes to micrograms. 459342500000000000 What is twenty-eight thirds of a decade in months? 1120 How many micrometers are there in 80405.71 kilometers? 80405710000000 How many millilitres are there in one tenth of a litre? 100 How many milliseconds are there in five sixths of a minute? 50000 Convert 40.7573 millilitres to litres. 0.0407573 What is 179782.8 months in centuries? 149.819 What is one tenth of a litre in millilitres? 100 What is 1104.84 minutes in hours? 18.414 What is 0.7574847 days in minutes? 1090.777968 How many microseconds are there in 0.4547798 seconds? 454779.8 What is eleven halves of a millennium in years? 5500 Convert 63525.08 litres to millilitres. 63525080 How many months are there in seven sixteenths of a century? 525 Convert 2.22665s to nanoseconds. 2226650000 Convert 710.384 days to seconds. 61377177.6 How many micrometers are there in 97/2 of a millimeter? 48500 What is 28218.89 milligrams in micrograms? 28218890 How many seconds are there in 1/36 of a day? 2400 What is 5.235398 grams in tonnes? 0.000005235398 What is 3/25 of a litre in millilitres? 120 What is 27/4 of a centimeter in micrometers? 67500 Convert 626.6117ug to milligrams. 0.6266117 Convert 71.88248 days to microseconds. 6210646272000 How many seconds are there in 3/10 of a hour? 1080 How many millennia are there in 7409.181 months? 0.61743175 What is six fifths of a centimeter in micrometers? 12000 What is 386.8191 micrograms in kilograms? 0.0000003868191 What is 7/4 of a tonne in kilograms? 1750 What is 0.324968 tonnes in grams? 324968 Convert 79.4199g to micrograms. 79419900 What is 89/2 of a litre in millilitres? 44500 How many centimeters are there in 5.218654nm? 0.0000005218654 Convert 680.5245 millimeters to nanometers. 680524500 What is 7/3 of a century in months? 2800 How many years are there in six fifths of a decade? 12 What is 279.5269l in millilitres? 279526.9 What is 13/4 of a week in hours? 546 How many centuries are there in 487.6852 millennia? 4876.852 What is 47/4 of a litre in millilitres? 11750 How many millimeters are there in twenty-seven fifths of a meter? 5400 What is 55.84971ng in milligrams? 0.00005584971 How many months are there in 8143.425 millennia? 97721100 How many nanometers are there in one tenth of a millimeter? 100000 How many millilitres are there in 3/40 of a litre? 75 How many millilitres are there in five quarters of a litre? 1250 How many grams are there in twenty-seven fifths of a kilogram? 5400 Convert 744.5948um to centimeters. 0.07445948 How many months are there in eleven tenths of a century? 1320 What is 3/8 of a kilometer in centimeters? 37500 How many microseconds are there in 1/5 of a millisecond? 200 What is 64/5 of a litre in millilitres? 12800 What is 125.6849 decades in years? 1256.849 How many millilitres are there in fifteen quarters of a litre? 3750 Convert 578721.591us to weeks. 0.0000009568809375 How many millimeters are there in fourty-seven quarters of a meter? 11750 How many nanoseconds are there in 7/2 of a microsecond? 3500 What is 29/5 of a century in decades? 58 How many micrograms are there in five eighths of a milligram? 625 Convert 36.68982 microseconds to milliseconds. 0.03668982 How many micrograms are there in 6/25 of a milligram? 240 Convert 115956.4ug to grams. 0.1159564 Convert 0.288089 litres to millilitres. 288.089 What is one fifth of a hour in seconds? 720 What is 25/2 of a micrometer in nanometers? 12500 What is 1/4 of a litre in millilitres? 250 How many seconds are there in 7/4 of a hour? 6300 Convert 309.2291um to meters. 0.0003092291 Convert 25214.06 millennia to months. 302568720 What is 3/25 of a millimeter in micrometers? 120 Convert 988271.9 litres to millilitres. 988271900 How many nanograms are there in twenty-nine halves of a microgram? 14500 Convert 3.353225nm to micrometers. 0.003353225 Convert 413.9129 millilitres to litres. 0.4139129 What is 2.3644m in millimeters? 2364.4 What is 204.0804 months in years? 17.0067 How many months are there in 51/5 of a century? 12240 How many millilitres are there in 0.8747715l? 874.7715 What is 191.8671 years in decades? 19.18671 How many millilitres are there in 37/5 of a litre? 7400 How many minutes are there in twenty ninths of a week? 22400 How many seconds are there in 0.0052292 minutes? 0.313752 What is 11523.81 milliseconds in microseconds? 11523810 What is five quarters of a minute in milliseconds? 75000 How many micrometers are there in 26/5 of a millimeter? 5200 How many hours are there in 2/7 of a week? 48 What is 0.0890452nm in centimeters? 0.00000000890452 How many decades are there in 0.7359298 centuries? 7.359298 How many months are there in three tenths of a century? 360 How many nanograms are there in 26/5 of a microgram? 5200 What is 1/20 of a week in minutes? 504 What is 451.031um in nanometers? 451031 What is 6/25 of a kilometer in centimeters? 24000 How many kilograms are there in three fifths of a tonne? 600 How many milligrams are there in 34.07999 kilograms? 34079990 How many hours are there in 58661.289ms? 0.0162948025 What is 42/5 of a litre in millilitres? 8400 Convert 0.2865087l to millilitres. 286.5087 How many millimeters are there in fourty-three quarters of a meter? 10750 How many nanoseconds are there in 89.12832 hours? 320861952000000 What is eighty-one halves of a tonne in kilograms? 40500 Convert 8.89457
{ "pile_set_name": "DM Mathematics" }
-2)**2)). 8*sqrt(2) + 46597 Simplify 4 + 6*-6*-5*((sqrt(304) + 0 + sqrt(304) + sqrt(304))**2 + -4 + 4). 492484 Simplify -1*-4*4*((5*((-1*sqrt(108))/sqrt(6) + sqrt(1458) + 1 + sqrt(1458)))**2 + -3). 40800*sqrt(2) + 2081152 Simplify -3 + (((sqrt(133) - -6*((sqrt(133)*-1 - sqrt(133)) + sqrt(133))) + sqrt(133))/(2*sqrt(28)/sqrt(4)) - (-1 + (sqrt(475)*-2)**2 + -4)) + 3. -1895 - 2*sqrt(19) Simplify -3*(sqrt(16)/sqrt(2) - sqrt(8)/sqrt(4)*-1) - ((sqrt(154)/(sqrt(14)/sqrt(2)))/((-2*sqrt(99))/sqrt(9)))**2. -9*sqrt(2) - 1/2 Simplify (sqrt(1377) + -5 + 1 - 6*(sqrt(1377) + sqrt(1377) + -3) - 6*(sqrt(1377) + -2 + 4 - sqrt(1377))*5)**2. 9108*sqrt(17) + 168733 Simplify -3 + 1*((sqrt(1200) + 1)**2 + 1 + 1 + sqrt(1200) + -2 + 3 + (sqrt(1200) - 4*(sqrt(1200) + sqrt(1200) + sqrt(1200) + 1))**2). 1820*sqrt(3) + 146417 Simplify (1 + sqrt(225)/sqrt(5) + -1 - ((sqrt(605)/(sqrt(11)*-3))/sqrt(11) + -5))**2. 100*sqrt(5)/3 + 725/9 Simplify (-6*sqrt(200)*-5)**2 - (0 + sqrt(2) + 4 + 2 + -4). -sqrt(2) + 179998 Simplify (-3 + (3 + sqrt(1100)*1 - 4*(1 + sqrt(1100))) + -2*((-3*(sqrt(1100) + 0 + sqrt(1100)) - sqrt(1100)) + sqrt(1100)) + -4 + -5)**2. -2340*sqrt(11) + 89269 Simplify (-3*(sqrt(99) + 1 + sqrt(99) + -2)*-1 + 5 + (1 + sqrt(99) + sqrt(99))*-2 + -4)**2. -48*sqrt(11) + 412 Simplify ((sqrt(66) + (sqrt(66) - 2*sqrt(66))*4)/(-2*sqrt(99)))/(sqrt(392) + sqrt(72)*1). sqrt(3)/40 Simplify (-2 + ((sqrt(833) - (-1 + sqrt(833))*-4) + sqrt(833) + (sqrt(833) - (-4*(-1 + sqrt(833)) + sqrt(833))) - (1*sqrt(833)*4 + -2*sqrt(833)*1)))**2. -1120*sqrt(17) + 53412 Simplify (sqrt(3388) - (sqrt(3388) - (sqrt(3388) + sqrt(3388) + sqrt(3388)*2 + sqrt(3388))*1))/((3*sqrt(5324))/sqrt(11)) + -2. -2 + 5*sqrt(7)/3 Simplify (sqrt(7)*1*1 - (sqrt(7) - (-2*sqrt(77))/sqrt(11)))**2 + 3 - (sqrt(448) + -1 + -4*sqrt(448) - sqrt(448))*-5. -160*sqrt(7) + 26 Simplify 1*(((1*((sqrt(156)*-3 - sqrt(156)) + sqrt(156) + sqrt(156))*5)/((-2*-1*sqrt(120))/sqrt(10)))**2 + -3). 322 Simplify ((4*(sqrt(1900) + (-1*(sqrt(1900) + -1) - sqrt(1900)))*4)**2*-2 + -2)*-1. -10240*sqrt(19) + 973314 Simplify ((-1 + 5 + -1 + sqrt(117))*5 + (-2*sqrt(117) + -3 - sqrt(117)) + -4 + sqrt(117) + 2)**2. 180*sqrt(13) + 1153 Simplify -3 + ((sqrt(7) - (sqrt(315)/sqrt(5))/sqrt(9)) + -1*sqrt(7)*-2 - (-2 + sqrt(175) + sqrt(700) + (sqrt(700)*-1)**2)). -701 - 13*sqrt(7) Simplify (4 + ((1 + sqrt(192))*-5*-3 - (-1 + sqrt(192) + 3 + 1*sqrt(192) + -2)))**2. 3952*sqrt(3) + 32809 Simplify -4 + 0 + ((-4 + (-4 + sqrt(363))*1)**2 - (2*sqrt(363) + 3 - (sqrt(363) + 2 + (2*sqrt(363))**2))). -187*sqrt(3) + 1874 Simplify (0 + -2*-1*(0 + sqrt(567))*-6 + -3)*-4. 12 + 432*sqrt(7) Simplify (-1*sqrt(1008)*5 + sqrt(343)*2*3)**2 + (1 + 1 + sqrt(63) + 3*sqrt(252))*-4. -84*sqrt(7) + 2260 Simplify ((sqrt(187) - sqrt(187)*2)*-1*-3*-2)/(((sqrt(352) + (sqrt(352) - sqrt(352)*-1) + sqrt(352))/sqrt(8))/((1*sqrt(48))/sqrt(12))). 3*sqrt(17)/2 Simplify (-4*sqrt(30)/sqrt(6) - -1*sqrt(80) - (5 + 0 + 5*(1 + sqrt(5))))**2. 100*sqrt(5) + 225 Simplify (sqrt(190) + -2*2*sqrt(190) + -1*-3*sqrt(190))/((-3*sqrt(120)/sqrt(4))/(-6*sqrt(27))). 0 Simplify -6*((-2*-5*(-3 + sqrt(833)*-2 - (sqrt(833) - -5*(-2 + sqrt(833)))))**2 + -2). -32016588 + 470400*sqrt(17) Simplify (-1*(((sqrt(700) - 2*sqrt(700)*4) + sqrt(700))*3*-3 + 2*sqrt(700)*-2 + (0 + sqrt(700) + sqrt(700))*-2))**2. 1481200 Simplify ((sqrt(6050) - (sqrt(6050) - sqrt(6050)*-2) - -5*sqrt(1800))*2 + 4)**2*-4. -51264 - 2560*sqrt(2) Simplify (-3*(sqrt(3024) - sqrt(3024)*1)*5)/((sqrt(72)/sqrt(3))/sqrt(8) - -5*sqrt(21)/sqrt(7)). 0 Simplify (-1*((sqrt(98) + 0)*2 + sqrt(98) + sqrt(98) + -1 + -4 + -5)*1)**2. -560*sqrt(2) + 1668 Simplify (-5*sqrt(900)/sqrt(3))**2 + ((sqrt(3) + -1)*-2 - sqrt(3) - (sqrt(108)/sqrt(9))/sqrt(4)). -4*sqrt(3) + 7502 Simplify ((sqrt(105)/sqrt(3))/sqrt(7) + -1 + sqrt(20)/sqrt(4) - (-3 + sqrt(125) + 1 + sqrt(125)) - (sqrt(180) + 0 + 3 - (sqrt(40)/sqrt(72) + sqrt(5))*-6))**2. 88*sqrt(5) + 2424 Simplify (3 + (-4*(-1*sqrt(912) - sqrt(912)))/((sqrt(36) - sqrt(144))/sqrt(12)*-4))**2. 48*sqrt(19) + 1225 Simplify 5 + ((sqrt(176)/(sqrt(8)*3))/(sqrt(128)*4) + -3)**2*-2. -59915/4608 + sqrt(11)/8 Simplify 3 + (1*((-3*sqrt(153)*-2 + sqrt(153) - sqrt(153)) + sqrt(153)))/(sqrt(324)*1 - (sqrt(81)/(1*sqrt(9)) + sqrt(9))) + 2. 5 + 7*sqrt(17)/4 Simplify 6*(-2 + sqrt(117))*4 + (5 + -4*sqrt(39)/sqrt(3))*3. -33 + 60*sqrt(13) Simplify ((2 + sqrt(432)*-1 + -5 + -3 + sqrt(48) + sqrt(9)/sqrt(3)*4 + -4 + -4)*4)**2. 1792*sqrt(3) + 3904 Simplify -1 + 3 + 3*(-1 + ((sqrt(112) + -1 + sqrt(112))*6 - (3 + (sqrt(112) - sqrt(112)*1)))**2). -2592*sqrt(7) + 48626 Simplify (sqrt(891) + -2*(sqrt(891) + sqrt(891) + 4) + sqrt(891) + 0 - ((5*sqrt(891)*-1 - sqrt(891)) + sqrt(891) + 1 + (1*sqrt(891) - sqrt(891))))**2*6*-4. -194400 + 11664*sqrt(11) Simplify (1*(sqrt(75) + -1*(sqrt(75) + 0))*5*-4)**2*2. 0 Simplify -4 + (2*(sqrt(200) + 1) + (sqrt(200) - (sqrt(200) + 1 + -5)) - ((0 + sqrt(200))*-1 - (0 + sqrt(200))*-2))**2. 120*sqrt(2) + 232 Simplify (4*1*sqrt(3888)*6)/(6*(sqrt(36)/sqrt(4)*-1 - 5*((sqrt(9) - (1*sqrt(9) - sqrt(9))) + sqrt(9)))). -48*sqrt(3)/11 Simplify -1 + (-4*(-4 + (0 + sqrt(13))**2 - (0 + sqrt(13) + 2)) - (sqrt(78)/(sqrt(12)/sqrt(4)))/(sqrt(8)/(sqrt(4)*-1))) + 4. -25 + 5*sqrt(13) Simplify ((-4*(sqrt(153) + sqrt(153)*-2) - -1*-2*sqrt(153))*3)/((sqrt(1089) - sqrt(1089)*-1)*4*-4). -3*sqrt(17)/176 Simplify (-4*(2*sqrt(9)*3 + sqrt(216)/sqrt(6))/((-5*(2*sqrt(75) + sqrt(75)) - sqrt(75)) + (sqrt(75) + -1*sqrt(75))*-4))**2. 12/25 Simplify ((sqrt(152)*2 + sqrt(152) + sqrt(152))*1*4)/(((sqrt(96) + sqrt(96)*4)*1)/sqrt(12)). 16*sqrt(19)/5 Simplify -6*-3*(((sqrt(128) + 0 - sqrt(128)) + -4 - (1 + sqrt(128))*-3) + -3 + sqrt(128)*2 + sqrt(128) + 5)**2 + -2. 1728*sqrt(2) + 82960 Simplify 2*(4 + (sqrt(49) - 2*sqrt(1225) - sqrt(49))/((sqrt(63) + sqrt(7))*-4))*3 + 5. 15*sqrt(7)/4 + 29 Simplify -6*(sqrt(288) - (sqrt(288) + (-2 + sqrt(288))**2 + sqrt(288)) - sqrt(288)) + ((5*sqrt(288)*1)**2 - sqrt(288)) - (1*sqrt(2)*-4 - (3 + sqrt(2)*1)). -151*sqrt(2) + 8955 Simplify ((sqrt(1584) - (sqrt(1584) + -1))*-6 + sqrt(1584))**2 - (0 + sqrt(704))**2*1 - (3 + -2*((-2*sqrt(11) + 0)**2 + sqrt(891) + (sqrt(891)*2)**2)). -126*sqrt(11) + 8129 Simplify -4 + ((sqrt(2548) + 4*(sqrt(2548) - (5 + sqrt(2548))) + -5)*5*-6 + -2)**2. -628320*sqrt(13) + 2852700 Simplify -6*(1 + (1 + sqrt(117))**2*4 + -5 + 3*(sqrt(117)*-2)**2*-1). -144*sqrt(13) + 5616 Simplify ((-1*sqrt(252) - sqrt(252)) + -1 + -4 + 1)**2 - (5 + (sqrt(35)/sqrt(80) + (sqrt(7) - sqrt(49)/sqrt(28)))**2 + 3). 96*sqrt(7) + 16193/16 Simplify ((sqrt(77) - (-2*sqrt(77) - sqrt(77))*2) + 2*sqrt(77)*3)/(sqrt(175)*1 + (sqrt(7) - sqrt(252)*2)). -13*sqrt(11)/6 Simplify 3 + 2*sqrt(176)*-2 + 5 + -2*(-4*(sqrt(1331) + 0))**2 + -4. -42588 - 16*sqrt(11) Simplify (-4*(-4 + sqrt(500)*2 + -1 + -3*(sqrt(125) + -4)))**2. 1120*sqrt(5) + 2784 Simplify ((5*(sqrt(70) - -2*(-2*sqrt(70) + sqrt(70) + sqrt(70))))/(sqrt(50)/sqrt(80) + -6*sqrt(160)) + 1)*6. -24*sqrt(7)/19 + 6 Simplify (sqrt(12) - (sqrt(108) + 0))*3 - (3 + (0 + sqrt(12)/sqrt(4)*2)**2). -12*sqrt(3) - 15 Simplify ((-3*sqrt(156)*-2*6*-4)/((-6*1*sqrt(84))/(sqrt(140)/sqrt(5))))**2. 29952 Simplify -1*(sqrt(55)/(sqrt(44)/sqrt(4)))**2 + -3 - (sqrt(10)/sqrt(2)*-2 - ((sqrt(5) - sqrt(35)/sqrt(7)) + 2)). -6 + 2*sqrt(5) Simplify ((-4*sqrt(960)*1 + sqrt(960) + sqrt(960))*-5)/((3*sqrt(200))/(3*(sqrt(10)*2 + sqrt(10)) + sqrt(10))). 400*sqrt(3)/3 Simplify -3 + -3*((4*(sqrt(288) - (sqrt(288) + (sqrt(288) + sqrt(288)*1 + sqrt(288) - sqrt(288)) + sqrt(288))))/(5*(5*sqrt(81) + sqrt(9))))**2*-2. 33/25 Simplify 0 + (sqrt(125) + sqrt(125) + 0 + -3 - sqrt(125))*6 - (sqrt(55) + 2*sqrt(55)*3)/(5*sqrt(77)/sqrt(7)). -18 + 143*sqrt(5)/5 Simplify ((5*sqrt(110)*2)/sqrt(5))/(1*-5*(sqrt(2) + (sqrt(2) - sqrt(128)))). sqrt(11)/3 Simplify (sqrt(78)*4*-5 - (sqrt(78) + -1*-3*sqrt(78)))/(sqrt(30)/(sqrt(200)/sqrt(10))*-2). 24*sqrt(13) Simplify (2*(((sqrt(1088) - (0 + sqrt(1088) - sqrt(1088))*-2) + -2 + -1*sqrt(1088) - (4*sqrt(1088)*1 - 6*(sqrt(1088) + 0 - sqrt(1088)))) + -1))**2. 768*sqrt(17) + 69668 Simplify (-1*2*(-1 + -1*sqrt(2448) + sqrt(2448) - ((sqrt(1377)*2 - sqrt(17) - sqrt(17)) + (sqrt(68) + -1 - sqrt(68)))))**2. 17408 Simplify -5*(sqrt(5) - (sqrt(5) - (sqrt(5) - (1 + (sqrt(5) + 3)**2))))*2 - 2*3*(sqrt(245) + sqrt(5))*-1. 150 +
{ "pile_set_name": "DM Mathematics" }
8481. 33 What is the highest common factor of 288671 and 736452? 2273 Calculate the highest common divisor of 30886170 and 30. 30 Calculate the greatest common factor of 7992166 and 112. 14 Calculate the greatest common factor of 14016 and 4024. 8 Calculate the highest common factor of 326438740 and 708. 236 Calculate the greatest common factor of 685 and 2205289. 137 Calculate the highest common divisor of 42526744 and 104. 104 Calculate the greatest common factor of 10209566 and 1854. 206 Calculate the highest common factor of 198 and 9264266. 22 What is the highest common factor of 1196806 and 26? 26 Calculate the greatest common divisor of 1160 and 84282120. 1160 Calculate the highest common factor of 636 and 134696850. 318 Calculate the greatest common divisor of 48575 and 27869. 29 Calculate the greatest common factor of 10939652 and 372. 124 Calculate the highest common factor of 151792988 and 1271. 1271 Calculate the highest common factor of 1031066 and 19894. 58 Calculate the highest common divisor of 476 and 8520876. 476 What is the greatest common factor of 1786056 and 30? 6 Calculate the greatest common factor of 1775310 and 75. 15 Calculate the highest common factor of 12859 and 12809902. 1169 What is the highest common divisor of 9 and 48679209? 9 What is the highest common divisor of 9111525 and 150? 75 What is the highest common factor of 1014637 and 299? 13 What is the highest common factor of 792 and 20024136? 792 What is the highest common divisor of 23154528 and 5568? 2784 Calculate the highest common divisor of 72 and 23254032. 24 What is the highest common factor of 36662814 and 6? 6 Calculate the greatest common factor of 6826270 and 770. 110 Calculate the highest common divisor of 29758066 and 13. 13 What is the highest common divisor of 4281088 and 16128? 1792 Calculate the highest common factor of 5381 and 943843543. 5381 Calculate the greatest common divisor of 574988435 and 7994. 3997 Calculate the highest common divisor of 177561648 and 1584. 1584 What is the greatest common divisor of 27310733 and 76? 19 Calculate the highest common divisor of 18856213 and 34. 17 What is the highest common factor of 2624 and 9239760? 656 Calculate the highest common divisor of 552811 and 117152. 3661 Calculate the highest common divisor of 30 and 259220. 10 Calculate the greatest common divisor of 105 and 710829. 21 Calculate the greatest common divisor of 12891652 and 76. 76 What is the highest common factor of 7410 and 1890? 30 What is the highest common factor of 462959 and 7? 7 What is the greatest common factor of 31 and 5242? 1 Calculate the highest common factor of 997729460 and 1465. 1465 Calculate the highest common divisor of 40 and 55770310. 10 What is the highest common divisor of 972 and 24628536? 972 Calculate the highest common divisor of 1 and 1600355. 1 Calculate the highest common divisor of 629856 and 10683. 9 What is the highest common divisor of 575195 and 5950? 85 What is the greatest common factor of 247 and 967138? 19 Calculate the greatest common factor of 254965 and 2465. 5 What is the highest common divisor of 30422337 and 88? 11 Calculate the greatest common factor of 505230 and 220. 110 Calculate the highest common factor of 56826 and 22176. 1386 Calculate the greatest common factor of 37723988 and 20892. 6964 Calculate the greatest common factor of 630 and 213646440. 210 What is the greatest common factor of 5420 and 137521660? 5420 Calculate the greatest common divisor of 7164948 and 672. 84 Calculate the greatest common divisor of 89244518 and 7502. 242 Calculate the greatest common factor of 508 and 2202307. 127 Calculate the greatest common divisor of 3 and 1252893. 3 What is the highest common divisor of 447 and 3812761? 149 Calculate the highest common divisor of 250425 and 20410425. 1575 Calculate the greatest common factor of 164 and 622358188. 164 Calculate the highest common factor of 114121091 and 63. 7 What is the greatest common factor of 6886 and 1874870? 626 What is the greatest common divisor of 214609736 and 88? 88 Calculate the highest common factor of 246666 and 16743084. 5034 Calculate the greatest common factor of 636251 and 2233. 77 Calculate the greatest common factor of 640440 and 3672. 216 What is the highest common divisor of 27 and 3564972? 27 What is the greatest common factor of 31 and 280001? 1 Calculate the highest common divisor of 3073056 and 2618. 238 What is the highest common factor of 2133087 and 702294? 5241 Calculate the greatest common factor of 829730 and 4764. 794 What is the highest common factor of 290 and 10680932? 58 What is the highest common factor of 61767810 and 117? 117 Calculate the highest common factor of 96 and 267690. 6 What is the highest common divisor of 8378924 and 2337? 779 Calculate the highest common factor of 727608 and 77. 7 Calculate the highest common divisor of 162231257 and 6329. 6329 What is the highest common factor of 1566693315 and 11? 11 Calculate the highest common factor of 94478 and 2437998. 194 What is the highest common factor of 11605956 and 11748? 1068 What is the greatest common factor of 3378144 and 2310? 462 What is the highest common divisor of 35 and 188516160? 35 What is the highest common divisor of 177 and 4253192? 59 Calculate the greatest common divisor of 69870 and 72420. 510 Calculate the highest common divisor of 39409572 and 10944. 228 What is the greatest common divisor of 5349998 and 31132? 362 Calculate the highest common factor of 266426 and 372. 2 Calculate the highest common factor of 178428929 and 6748. 1687 Calculate the highest common factor of 2340 and 10673325. 585 Calculate the highest common divisor of 4988028 and 108. 12 What is the greatest common factor of 15264558 and 27? 27 Calculate the highest common divisor of 169 and 159458429. 169 What is the greatest common factor of 464 and 234322378? 58 Calculate the greatest common factor of 3408 and 31152. 48 Calculate the highest common factor of 2319396 and 13092. 12 What is the highest common divisor of 1796 and 7379315? 449 What is the greatest common factor of 819 and 3694887? 63 Calculate the greatest common factor of 9087548 and 304. 76 Calculate the highest common divisor of 39 and 8943051. 39 What is the highest common factor of 5007140 and 7120? 1780 What is the greatest common divisor of 547232 and 736? 32 What is the greatest common factor of 30420572 and 5096? 2548 Calculate the greatest common factor of 57780065 and 13720. 1715 Calculate the highest common factor of 5509152 and 42300. 1692 Calculate the highest common divisor of 424905847 and 89. 89 What is the greatest common divisor of 70 and 3165811425? 35 Calculate the greatest common divisor of 227360 and 109088. 224 What is the greatest common factor of 13 and 5094349? 13 Calculate the highest common divisor of 4441028 and 8172. 908 What is the greatest common divisor of 319216 and 5416? 8 Calculate the highest common factor of 51359 and 4081. 77 Calculate the greatest common divisor of 12128328 and 408. 24 What is the greatest common divisor of 8089560 and 495? 45 What is the highest common divisor of 36837466 and 38? 38 Calculate the greatest common divisor of 16 and 7829464. 8 What is the highest common factor of 2812 and 124530826? 1406 What is the highest common divisor of 44029145 and 310? 155 What is the highest common divisor of 8049121 and 1145? 229 What is the greatest common factor of 1006570980 and 380? 380 Calculate the greatest common factor of 5017232 and 880. 176 What is the highest common divisor of 10249 and 3612902? 37 Calculate the highest common factor of 5980459 and 209. 19 Calculate the highest common divisor of 30676544 and 628. 628 Calculate the greatest common factor of 201 and 17652624. 201 What is the greatest common divisor of 2466 and 1217923698? 822 Calculate the highest common divisor of 188928 and 9527088. 1968 Calculate the highest common divisor of 76215 and 15885. 15 What is the highest common divisor of 871 and 522756? 13 Calculate the highest common divisor of 469420976 and 32. 16 Calculate the highest common factor of 1917 and 74709. 27 What is the highest common factor of 316411126 and 67018? 9574 Calculate the highest common factor
{ "pile_set_name": "DM Mathematics" }
2)/((-5)/10). -3 ((-36)/(-189))/(46/14 - 3) 2/3 Evaluate 2 + (-22)/(-14) + (2 - 6). -3/7 What is the value of (1/5)/((-8)/840*-7)? 3 ((-4)/14)/((-28)/(-294)*-1) 3 What is the value of -3 + 8 + 231/(-49)? 2/7 Calculate 7 + 243/(-30) + 17/17. -1/10 Evaluate (-1)/2 + 5/10. 0 Evaluate 10*(-2)/16 + 3/(-4). -2 Calculate (6/(-4))/(((-3591)/84)/19). 2/3 Calculate (5/(-15))/(5/3 + -2). 1 What is the value of 195/(-135) + 24/54? -1 Evaluate ((-12)/(-300))/(13/(-65)). -1/5 Calculate -5 + 3 - -1 - (-7)/4. 3/4 Calculate 2397/3927 - 3/7. 2/11 What is 44/242 - 64/110? -2/5 What is the value of 30/8*(-3)/(-15)? 3/4 Calculate 85/(2 - 19)*(-2)/(-10). -1 -4*(-39)/12 - (11 + -8) 10 What is the value of (-21)/(-2)*22*22/847? 6 What is 4 - ((-56)/(-32))/((-1)/(-2))? 1/2 Calculate 3 + 1 - 294/63. -2/3 What is the value of (-5)/(-120)*4*6/(-4)? -1/4 (-2*20/(-30))/(-4) -1/3 Evaluate (-5 - -2 - 0) + -2. -5 What is the value of (-1)/((-9)/(-6))*(-15)/2? 5 Evaluate ((-8)/10)/((-16)/(-240)) + 6. -6 Calculate 28/(-12) + -4 - -5. -4/3 What is 2 + 9/((0 + -1)*4)? -1/4 What is the value of 2/((-5)/(50/(-5)))? 4 Calculate 8/(-6)*36/24. -2 Calculate -4*11/44 + -4. -5 What is -6 - -15 - 583/66? 1/6 407/(-7215) + (-2)/26 -2/15 What is the value of 18/(-8)*88/33? -6 -6 - (-330)/50 - (-33)/45 4/3 What is the value of 4 - 28/12*(0 - -3)? -3 Calculate (-8)/12 + -15*2/(-18). 1 What is the value of (-91)/(-35) - (-2)/(10/(-3))? 2 What is 111/39 + (-1 + 1 - 3)? -2/13 Calculate 1*4*4/16. 1 What is -2 + 0 - (-1 + 3)? -4 Calculate (3 - 3) + 0 + -2. -2 Evaluate (-33)/(-12) - (-4 - -1 - -6). -1/4 What is 4/10 + 5/((-150)/(-108))? 4 Calculate (1 - 65/45)*(-21)/14. 2/3 (-39)/(-264)*10 + 70/(-40) -3/11 What is -2 + 5 + (11 - (-64)/(-5))? 6/5 Calculate 2/3*(-108)/288. -1/4 Calculate -4 - (-7)/((-7)/(-6)). 2 ((-5)/(-10))/(1/3) - 3 -3/2 27/(-36) + (-35)/28 -2 What is 6/14 - (-6)/18*0? 3/7 (-2)/(-78)*123 + 2/(-13) 3 Evaluate (-39)/(-78) + ((-18)/(-28))/(-3). 2/7 What is (-1)/5*-1 + (-5808)/22990? -1/19 (1/(-84)*-24)/(1*-2) -1/7 Evaluate 6/(-54) - 4/18. -1/3 Evaluate (-49)/(-147)*(-9)/12. -1/4 Calculate (18/(-81))/((-2)/(-3)). -1/3 What is the value of (-164)/70 + (-336)/(-294)? -6/5 Evaluate 12/(-21)*(9/(-2))/(-9). -2/7 Calculate 141/(-18) - (-4)/(-24). -8 What is the value of 4/((-8)/(-1))*(-6)/7? -3/7 What is the value of 2/(6/9 - 21/45)? 10 What is the value of -5 - (90/20)/(1/(-2))? 4 Calculate (-2)/(((-120)/(-6))/(-10)). 1 What is (-38)/(-18) + 4 + 48/(-8)? 1/9 Calculate 9/(-6)*(17/(-3) - -3). 4 Calculate (-2 - -1)/(-34 - -35). -1 (10/(-20))/((-22)/4) 1/11 What is the value of ((-58)/(-12) - 3/18) + -4? 2/3 What is (-2)/4*0/(-5)? 0 Evaluate 4 + 1 - 0/(-3 - 3). 5 What is (9 - 234)/(-15) + -23? -8 (-84)/12*24/42 -4 Evaluate (-592)/(-333) - 8/18. 4/3 Calculate (30/135)/(5/(-15)). -2/3 Evaluate 630/(-525)*(-30)/8*2. 9 Calculate (28/8 + -3)/(1/(-2)). -1 What is (4 + 85/(-20))*(-11 - -12)? -1/4 (32/(-15))/2 - 214/(-535) -2/3 What is (-6)/40*(-80)/96? 1/8 What is (-39)/26*8/(-15) - 1? -1/5 Evaluate ((-39)/(-65))/((-6)/(-8)). 4/5 Calculate (25/25)/(-2 + 1). -1 Calculate (-2)/(-11) - 882/495 - -2. 2/5 Evaluate (-30)/20 - 3/(-18)*-3. -2 Evaluate (-1 + (-66)/(-36))*-6. -5 (-13)/3 - 105/(-21) 2/3 Calculate 60/(-56) - ((-15)/6)/5. -4/7 What is 7/(-5) - -1 - (-114)/60? 3/2 Evaluate (-7)/(-1 - (1 - (-24)/(-8))). -7 What is (-7)/((1/(-2))/((-51)/102))? -7 Evaluate (-144)/(-198)*(-22)/4. -4 Calculate (7/231*11)/(-1). -1/3 What is the value of (19/((-114)/(-36)))/(-16)? -3/8 Calculate -2*(-2 - 0)*(-20)/(-160). 1/2 Evaluate 20/3 + (-36)/(-27). 8 What is the value of 1/30 - (-7)/(-42)? -2/15 What is 2/(9/((-18)/(-8)))? 1/2 What is the value of (-146)/(-14) + -61 + 50? -4/7 (-1)/(-9 + 26/3) 3 -1*((-2)/(-60) + 10/(-50)) 1/6 Calculate ((-53)/795)/((-1)/(-3)). -1/5 Evaluate (1 - 3/4)/(42/(-21)). -1/8 Calculate 4/(-6) + 7/(-21). -1 1/2 + 2*(-150)/40 -7 Evaluate (-256)/(-60) + -5 - 4/(-10). -1/3 Evaluate ((-204)/(-119))/((-4)/14) - -1. -5 Calculate 6/24 + (-1)/4 + 2. 2 What is the value of 4/(-18) - (2 + -2)? -2/9 Evaluate 3/((-1)/((-18)/27)). 2 What is the value of 28/(-35) + 32/80? -2/5 Evaluate (375/30 + -11)*6. 9 Calculate (-4)/10*(17 + -18)*-10. -4 What is (4/(-12))/(14/42)? -1 What is -15 + (20/5 - -5)? -6 Evaluate ((-186)/28 + 7)*(-12)/(-10). 3/7 Evaluate (-1)/8 - (-147)/280. 2/5 What is the value of 6/245*7*5? 6/7 Calculate 14/3*(6 + (-108)/24). 7 What is the value of 8/(-14)*28/12? -4/3 Evaluate (-6)/(-3) + 1 + (-3)/(-3). 4 What is the value of (76/(-57) + 1)*(0 + 0)? 0 Evaluate ((-3)/(-4))/(-7 + 5 + -1). -1/4 Calculate 1/(2/9*-3) + -1. -5/2 ((-15)/25)/(3/15) -3 Calculate 6/(-2) - (-119)/49. -4/7 What is the value of (4/10)/(312/(-1170))? -3/2 What is (8/(-120))/((-15)/45)? 1/5 What is (-1)/3 - (-6625)/795? 8 What is (-3)/18*(-6)/(-4)? -1/4 ((-5)/20*-12)/(-1) -3 Calculate (19 + -22)/9*(17 - -1). -6 (-2)/(-3*2) + (1 - 0) 4/3 36/(-8) + 4 + 7/(-2) -4 Evaluate (-6)/(-7) + 9/63. 1 What is 3/(-9)*(-12)/8? 1/2 What is the value of 505/50 - (-5 - -15)? 1/10 What is ((-30)/(-24)*6)/3? 5/2 Calculate -7*(-8)/56*1. 1 Calculate 9/(-12) + (-3)/(-4). 0 Calculate (-32)/(-14) + (5 + -7 - 0). 2/7 Calculate (67/(-67))/(3/33). -11 (((-1)/5)/1)/((-8)/20) 1/2 What is the value of (-4)/10*10/4? -1 5 + (-144)/78 - 10/65 3 Evaluate (-25)/20 - 36/(-48). -1/2 What is the value of -16 - (-8 + 2/(-2))? -7 What is (-1)/2 - (56/(-16) + 9)? -6 Evaluate ((-2 + -1)/84)/((-7)/28). 1/7 What is the value of (1 + 14/(-6))*20/200? -2/15 Calculate -2*(-6)/(-20) + 2/(-5). -1 Calculate 3 + 14/(-10) + (-1 - 0). 3/5 Evaluate (-24)/54 + 7/36. -1/4 Calculate 1340/260 - (3 - -2). 2/13 What is the value of -5 - -2 - 87/(-27)? 2/9 Calculate 2/21*3*7. 2 2/7*(-70)/(-50) 2/5 Evaluate 0/((3 - 9) + 3). 0 Calculate 1/3 + (-585)/945. -2/7 Calculate 3/(-4) + 0 - 175/140. -2 Calculate ((-7)/(-9))/(-1) + 31/31. 2/9 Evaluate (-187)/44 + 4 + -1. -5/4 What is the value of (-2 - 20/(-14))*(-63)/6? 6 What is (24/(-20))/(11*1/(-5))? 6/11 Calculate (-21)/((-21)/(-7)) - -5. -2 Evaluate (((-14)/35)/(12/(-10)))/(-1). -1/3 Calculate 10*6/15 - 0. 4 Calculate -2*(6 + (-20)/4). -2 Calculate (0 - 1) + (-8)/32*-12. 2 Evaluate (-21)/(105/(-10)) - (-33)/(-18). 1/6 Evaluate 4*(405/18)/15. 6 What is the value of (-2)/((-10)/(-60)*-6)? 2 What is 7 - ((-88)/154)/(2/(-14))? 3 What is ((-4)/14)/1 + 990/231? 4 What is 1/5*-21 - -4? -1/5 What is (-3)/(-10) - (-8)/(-16)? -1/5 Evaluate 11/110 + 28/(-1080). 2/27 Calculate 1/(-3) + (-140)/(-60). 2 Evaluate -2 - (-1 - -2 - (5 + -6)). -4 1 - ((-5)/(-4))/((-39)/(-36)) -2/13 Calculate -18*((-63)/42 - (-1 - 1)). -9 -2 + (-1)/(19/(-36)) -2/19 Evaluate (2*-1)/(12/(-3)*-2). -1/4 What is the value of (-2432)/(-1280) - 2/(-20)? 2 Evaluate 0*((-1)/2 + -4 + 5). 0 Calculate 3/18*6 + (-5)/2. -3/2 What is the value of 261/(-29) - 2*-2? -5 What is 7/(-6) + (8 - 7)? -1/6 Calculate -1*(-2)/10*5090/(-1527). -2/3 What is the value of 5 + (-8 - (5 + -15))? 7 (-18)/36 - ((-90)/28 - -3) -2/7 0 + (8 - 4) - 1 3 Evaluate 11 + -14 - (-4 + 2). -1 Evaluate (-31 + 30)*(-2)/(-6). -1/3 What is the value of 6/(-75)*(-55)/(-22)? -1/5 What is (-7)/7 + 21*3/9? 6 Evaluate 5/(-15)*(1 + -4). 1 (-195)/(-30)*(-4)/(-26) 1 What is -1*(-1)/(-3)*-3? 1 (740/150 + -5)*(-1 + 6) -1/3 What is (245/70)/(2/(-4))? -7 ((-92)/(-16) - 2) + -3 3/4 Evaluate (-236)/(-36) - (-21)/(-3). -4/9 What is (-8)/60 - (-2 + (-18)/(-15))? 2/3 What is ((-15)/(-5) - 6) + 13 + -9? 1 Calculate (3 - (2 + -3)) + (10 - 11). 3 What is the value of 14/(-21) + (-10)/(-6) + -5? -4 1/(-3)*(-6 - -21) -5 What is the value of (1*(-9)/(189/(-28)))/(-6)? -2/9 Calculate 10/(-19 + 12 + (6 - 1)). -5 Evaluate (204/17)/(-3 + 1). -6 40/22 + 2 - 4 -2/11 What is the value of 2/(100/(-65)) - (-1)/(-5)? -3/2 What is 3/(-2 + -4)*0 + 5? 5 What is (-3)/(-1) - (0 - (-86)/30)? 2/15 Evaluate -1*11 + 2 - (-2030)/232. -1/4 Calculate 3*3/(-2)*28/315. -2/5 What is the value of 1/(-3)*2/(8/36)? -3 4/(-24)*(-34)/(-51) -1/9 What is 53/5 + (-11)/1? -2/5 (-2)/(-44)*-8*(-7)/28 1/11 What is 2/25*(2 + 8)/10? 2/25 -2*2/8*(7 + -5) -1 Calculate (18/45)/(2/(-5)). -1 What is the value of (0 - 252/(-54))*6/7? 4 What is the value of ((-224)/105 - (-4)/3)*5? -4 Calculate 2 - 5 - (40/(-7))/2. -1/7 Calculate 24/(-28)*(-1)/(-2). -3/7 What is the value of 64/(-112) -
{ "pile_set_name": "DM Mathematics" }
Express (z**2 - 9*z**2 + 0*z**2 + (3*z + 0*z - z)*(-z + z - z))*(-47 - 10*z + 47) in the form t + o*z**2 + h*z + d*z**3 and give d. 100 Express 7 - 297*r**2 - 13 + 6 as v*r**2 + d + i*r and give v. -297 Rearrange (1 - 2*n - 1)*(5 - 19 + 2)*(36 - 36 + 31*n)*(2 - 1 - 3) - n**2 + 0 + n + 0 to the form s + u*n**2 + a*n and give u. -1489 Express 1334*q + 526*q - 653*q in the form j + s*q and give s. 1207 Rearrange -68 - 73 + 4*m**2 + 143 to x + k*m + y*m**2 and give x. 2 Rearrange 147 - 147 - 250*k to i*k + a and give i. -250 Express -3*x**4 - 11 - 5*x**2 - 2*x - 2*x**3 + 6*x**2 + 10 in the form o*x**3 + y*x**2 + z + c*x**4 + k*x and give c. -3 Rearrange i**2 - 1229*i**3 - i**4 + 2454*i**3 - 159*i - 1226*i**3 to the form w + f*i**4 + p*i**2 + v*i**3 + r*i and give f. -1 Rearrange 9*w**2 + 14*w**2 - 3*w**3 - 21*w**2 + 0*w - 2*w**4 + 2*w to t + h*w**4 + o*w**3 + s*w + z*w**2 and give z. 2 Express 21 + 8*v - 503*v - 21 in the form q + c*v and give q. 0 Express 31*m + 26*m + 7 + 18*m**2 - 58*m in the form c + d*m + s*m**2 and give s. 18 Rearrange -42 + 47 + 21 + 3*u to y*u + a and give a. 26 Express 3*z + 4*z - 6*z - 63*z**3 - 4 - 3 in the form d*z + t + j*z**3 + p*z**2 and give p. 0 Rearrange (2*b + 0*b + 0*b + (-b + 0*b - 3*b)*(3 + 0 - 2))*((4 - 5 + 3)*(0 + 2 + 0) + 7 + 5 - 5) to d + k*b and give k. -22 Express -n - 7*n**3 + 15656 - 15656 + 2*n**4 in the form s*n**2 + z*n + i*n**4 + j + p*n**3 and give i. 2 Express (-6*r**2 - 2*r**2 + 2*r**2)*(-50 + 49 - 62 + 10*r**2) as c + j*r**3 + n*r**2 + f*r**4 + v*r and give f. -60 Rearrange ((-1 + 0 - 2)*(2 - 4 - 3) + 3 - 3 + 2)*(8*z + 12*z - 5*z) to the form b + f*z and give f. 255 Express (-4*t - t + 4*t)*(134 - 152 + 120)*(-3*t + 2*t + 4*t) as u*t + q + l*t**2 and give l. -306 Rearrange 4*z**2 + 2 + 3*z + 13*z + z**4 + z**2 to the form x*z + w*z**4 + u*z**3 + h*z**2 + r and give h. 5 Express -10 - 8 - 183*o + 18 in the form p + n*o and give n. -183 Rearrange (3*b - b - 3*b)*(-4*b**2 - b**2 + 3*b**2) - 27*b**3 + 29*b**3 - 88*b**3 to the form i + v*b + j*b**3 + m*b**2 and give j. -84 Express 30*n**3 - 10 - 20*n**3 - 3*n + 0 in the form s + o*n**3 + b*n**2 + z*n and give o. 10 Rearrange -4 + 237*w + 8*w**3 - 2*w**2 + 13*w**4 + 2*w**2 - 239*w to the form t*w**2 + h*w + r + a*w**3 + p*w**4 and give t. 0 Express n**3 - 2 + 271*n**2 - 476*n**2 + 247*n**2 as k*n**3 + v*n + l*n**2 + j and give l. 42 Express (r + 0*r + 0*r)*(8 + 2161*r**2 - 2163*r**2 - r - 5*r**3 - 9*r**3) as n + f*r**4 + j*r + u*r**3 + w*r**2 and give u. -2 Rearrange (-20 + 20 + 6*c**2)*(-3*c + 5 - 5) + (-2*c + 5*c + 3*c + 2*c**2)*(-2*c - 4*c + 4*c) to the form r*c**2 + v + o*c + m*c**3 and give r. -12 Rearrange -4 + 918*p**3 + 1 - 916*p**3 + 32*p + 3 to the form k*p**3 + b + f*p + t*p**2 and give k. 2 Express -41 - 40 - 3*s**3 + 172 - 21 as y*s + c + q*s**3 + o*s**2 and give q. -3 Rearrange (-1 - 1 + 0)*(3*m + 0*m - 2*m)*(-4 - 2 + 0)*(-3*m - 4*m + 6*m) to h*m**2 + t*m + a and give h. -12 Express 29*s + 8*s**2 + 34*s**2 - 30*s in the form k + p*s + x*s**2 and give p. -1 Rearrange 94 - 14*c**4 + 16*c**2 + 8*c**2 - 8*c**2 - 94 - 2*c**3 to l*c**4 + h*c**3 + m*c + v + s*c**2 and give h. -2 Express -2*a + 0 - 3 + 8 + a + 0*a + 2*a + 3*a - 2*a - 2*a + (3 - 4 + 3)*(4 - 2*a - 4) - a + 0*a - a - a + 3 - 3 as o*a + p and give p. 5 Express 13 + 17 + 135 + 0*z + 2*z**4 - z in the form g*z**3 + y*z**4 + w*z**2 + x*z + h and give h. 165 Rearrange -7*u**2 - u**3 + 2*u**3 + u**3 + (0*u + 3*u - u)*((0*u - 3*u + 5*u)*(-3 + 3 + u) - 27*u + 27*u - 27*u**2) to l*u + w + q*u**2 + b*u**3 and give b. -48 Express -21*n - 503 - 7*n + 2*n**2 - 509 + 1010 in the form s*n**2 + d + i*n and give d. -2 Express -5*r**2 + 40 + 8 + 4*r**2 + 3*r**2 in the form j*r**2 + z + v*r and give z. 48 Rearrange 0*f - 95*f**3 - 3 - f**2 + 193*f**3 + 0*f - 89*f**3 to o + z*f**2 + x*f**3 + w*f and give x. 9 Express (0*t**2 - t**2 - 4*t**2 + (1 - 1 + 2*t)*(t - t + 3*t) + 5*t - 5*t - 9*t**2)*(-3*t + 3*t - 4*t) in the form y + a*t**3 + v*t**2 + u*t and give a. 32 Rearrange 3 + 12*q**3 + 0*q**4 - q**4 - 3*q**2 + q + 13*q**3 - 26*q**3 to o*q**2 + z*q**4 + l*q + s + p*q**3 and give p. -1 Rearrange (2*z**2 - 4*z**2 + 5*z**2)*(1 + 2 - 5) + (-2 + 4*z + 2)*(-z + z + z) + (-3*z**2 + 5*z**2 + 0*z**2)*(9 - 4 + 3) to x*z + n + q*z**2 and give q. 14 Rearrange (13 + 6*j + 19 - 36)*(j - 3*j - 4*j) to c*j + i*j**2 + q and give i. -36 Express -2 - 35*y**3 - 5*y**3 + 4*y**2 - 5*y**3 + 5*y**3 - 1 as s + j*y + g*y**2 + v*y**3 and give s. -3 Express (1 - 3 - 2)*(-8 + 4*c + 8)*(-3 - 1 + 3) as r*c + h and give r. 16 Express -104312 - 248*u - 1513*u + 104312 in the form b + w*u and give w. -1761 Rearrange 33*r**2 + 7*r**2 + 10*r**2 + 2*r**2 - r**2 + r**2 + (4*r - 3*r - 2*r)*(-2 - r + 2) - 2*r**2 + 0*r**2 + 4*r**2 to the form v*r + s + f*r**2 and give f. 55 Express (-2*r**2 - 3*r**2 + 6*r**2)*(0 + 2*r + 0) + 5*r**3 + 12*r**3 + r**3 + 13*r**3 - 95*r**2 + 95*r**2 as i*r + x*r**3 + k + b*r**2 and give x. 33 Rearrange 3*b**2 + 3592 - b**2 - 3475 to the form k*b + y*b**2 + p and give y. 2 Rearrange -1 + 12*r**4 + 1127*r + 1119*r - 3*r**2 - r**3 - 2256*r to h + v*r**4 + y*r**2 + u*r + z*r**3 and give z. -1 Rearrange (j**2 + 0*j**2 - 3*j**2)*(80 + 6*j - 80 - j**2) to the form s*j + y*j**3 + h*j**2 + f + u*j**4 and give u. 2 Express (5*s**2 - 12*s + 12*s)*(-16 - 2 - 11) in the form r*s**2 + d*s + c and give r. -145 Rearrange (669*y - 334*y - 318*y)*((-3 + 1 + 0)*(0 - 2 + 0) + 1 + 2 - 5 - 1 + 5 - 2) to d + f*y and give f. 68 Express 5*o**2 - 4*o**3 - 6*o**2 - 10*o**3 - 16*o**3 as i*o + y*o**2 + l*o**3 + a and give y. -1 Express (-141 - 301 + 1707)*(-3*x - 2*x**2 + 2*x - 3*x) in the form u*x + z + c*x**2 and give u. -5060 Rearrange g**2 + 11*g**3 - 4*g**3 + 68 + 2*g**4 - 7*g**3 + 46 - g to the form i*g**3 + c + n*g**2 + s*g + x*g**4 and give c. 114 Express -4*m - 4 + 4 - m + 0*m + 0*m + (m + m - 4*m)*(2 - 5 + 4) + (4 - 9 - 1)*(6 + 6*m - 6) as t*m + p and give t. -43 Rearrange -64*l - 2 + 2*l**4 + 19*l - 3*l**2 + 23*l + 19*l to z*l + h*l**2 + u*l**4 + t + f*l**3 and give t. -2 Express m + 2 - 2 + (-1 + 2 - 3)*(2*m - 3*m + 2*m) - 3*m + 0*m + 7*m - 1 + 1 - m + 3*m + 1 + 1 - 7*m as c + s*m and give c. 2 Express (l**2 + 0*l**2 + l**2)*(2 - 2*l - 2) + 69*l**3 - 187*l**3 + 63*l**3 + l**3 - 2*l**3 + 0*l**3 as w*l**3 + j*l + m*l**2 + f and give w. -60 Express 228*x + 12*x**2 - 4 - 228*x in the form w*x**2 + c*x + f and give c. 0 Express -28*y + 187*y**2 + 74*y - 46*y in the form w*y**2 + l*y + u and give w. 187 Express -2*b**2 + 3 + 3*b + 77*b**3 + 81*b**3 - 160*b**3 in the form a + d*b**3 + f*b**2 + c*b and give a. 3 Express (-2*u + 1 - 6 - 3)*(-2*u**3 - 2*u**3 + 2*u**3) + (3*u**2 - 2*u**2 + 5*u**2)*(-4*u**2 + u - u) in the form m*u**3 + n + c*u + i*u**2 + r*u**4 and give i. 0 Rearrange 12*c**3 - 4 + 3*c - c + 2*c**3 to the form d*c**2 + v + u*c + j*c**3 and give u. 2 Express -3*p + 6*p + 11*p + p + p - 7*p + (-2 + 6 - 3)*(-p + 2 - 2) in the form j + r*p and give r. 8 Express (-2*k + 0*k + 4*k)*(3 - 3 + 2)*(1 - 1 - 1) + 1 - 3*k - 1 + (5 - 3 - 3)*(-k + 0*k + 2*k) + 1 - 1 + 2*k as l*k + g and give l. -6 Express (0*g + 2*g + 0*g)*(-3*g**2 - 3*g**2 + 2*g**2) + 43*g**3 - 14*g**3 + 33*g**3 as z*g**3 + h*g + a + j*g**2 and give z. 54 Rearrange -876*t**2 - 9 + 9 + 1464*t**2 to b*t + g + h*t**2 and give h. 588 Express -8*x**3 - 26*x**2 - 2*x + 22*x**2 + 4*x**2 - 2 as t*x**2 + c + u*x**3 + f*x and give u. -8 Express (-2*f - 3*f + 4*f)*(0*f**2 + f**2 - 6*f**2) + 4*f - 9*f**3 + 2*f**3 + 8*f**3 in the form i + y*f + h*f**2 + u*f**3 and give u. 6 Express (3*x - 5*x + 3*x + (-7 - 8 - 9)*(0*x - x - x))*(2*x + 10*x + 4*x) as s*x**2 + c + o*x and give s. 784 Express -109 + 2*n + 53 - 2*n - 464*n**2 + 55 as b*n**2 + u + q*n and give u. -1 Express -2*n**4 + 373*n**2 - 23*n**4 - 2*n + 2*n**3 - 375*n**2 + 2 in the form g*n**3 + i*n**2 + j + y*n**4 + z*n and give j. 2 Express -7 + 2*u**3 + 104*u + 110*u - 213*u as h + i*u + z*u**2 + k*u**3 and give h. -7 Rearrange 2*i**3 + 5*i - 520 + 15*i**2 + i + 521 - 3*i to d*i**2 + y*i + c + j*i**3 and give y. 3 Express 0*y**2 + 28*y**2 + 5*y**2 + (3*y**2 - 3 + 3)*(2 + 0 + 0) + 0*y**2 - 3*y**2 - 2*y**2 in the form i + o*y + n*y**2 and give n. 34 Rearrange -21*i**3 + 72*i**3 - 322*i**2 - 30*i**3 - 23*i**3 - 2*i to the fo
{ "pile_set_name": "DM Mathematics" }
. Let v be (8/(-3) + p)*-3. Calculate v*g(z) - 3*j(z). z**3 + 2 Suppose -2*a = -a - 1. Let m(b) = 2*b. Suppose 6*x = 8 + 4. Let z(f) = -f**2 + 0*f**2 - f + 3 - x. Determine a*m(h) + 2*z(h). -2*h**2 + 2 Let a(p) be the second derivative of p**3/3 - p**2 - p. Let b be (-4)/(-14) - (-480)/(-112). Let g(q) = -q + 1. Determine b*g(r) - 3*a(r). -2*r + 2 Let f(c) = 12*c**2 + 5*c + 2. Let s(o) = o**2 + o + 1. Calculate f(w) - 5*s(w). 7*w**2 - 3 Let f(m) = -12*m**3 + 8*m**2 - 8*m. Let r(n) = -4*n**3 + 3*n**2 - 3*n. Suppose -3*i - 9*i = -96. Give i*r(d) - 3*f(d). 4*d**3 Let p(z) = -15*z**2 + 2*z + 15. Let u(n) = n + 1. Let k(x) = 7*x**2 + x - 5. Let t(y) = -k(y) + 2*u(y). Calculate -6*p(d) + 13*t(d). -d**2 + d + 1 Let k(m) = 2*m**3 + m - 5*m**2 - 5 - m**3 - 3*m**3 - 14*m. Let r(j) = j**3 + 3*j**2 + 7*j + 3. Give 3*k(v) + 5*r(v). -v**3 - 4*v Let o(x) = 2*x**3 - 5*x**2 + 4*x + 16. Let r(s) = 2*s**3 - 6*s**2 + 5*s + 15. Give 6*o(g) - 5*r(g). 2*g**3 - g + 21 Let n(l) = -9*l**3 + 4. Let m = -58 + 54. Let v(p) = 8*p**3 - 3. What is m*v(f) - 3*n(f)? -5*f**3 Let u(b) = b**2 + 3*b - 1. Suppose 0 = d - 0*d + 3. Suppose 2*a - 4 = -0. Let z(r) = -2*r**2 - 7*r + 3 - 1 + a*r. Determine d*z(t) - 5*u(t). t**2 - 1 Let n(w) = w**3. Let m(g) be the first derivative of -5*g**4/4 - g**3/3 + 37. Give 2*m(y) + 9*n(y). -y**3 - 2*y**2 Let y(g) = -g**2 - g - 1. Let w(n) = -2*n**2 - 3*n - 6. Calculate 2*w(h) - 6*y(h). 2*h**2 - 6 Let r(n) = -3*n + 1. Suppose -5*a + 61 = 4*d, 0*a - 2 = 2*d - 4*a. Let y(x) = 5 + 5 - d. Give -r(l) + 2*y(l). 3*l + 1 Let a(n) = -n. Suppose 0 = 3*r + 7*r + 10. Let i(v) = 6*v. Calculate r*i(y) - 4*a(y). -2*y Let m(k) = -3*k + 0*k - 4*k. Let q(l) = l - 5. Let t be q(-3). Let u be (t/(-1))/(-4) + 7. Let h(j) = -6*j. Calculate u*m(i) - 6*h(i). i Let l(c) = -15*c + 15. Let g(q) = 7*q - 7. Suppose 0 = 2*x + 10, -4*k + k - 4*x + 19 = 0. What is k*g(r) + 6*l(r)? r - 1 Let u be (21/(-2))/(-3)*-2. Let w(m) = -10*m + 3. Let l(x) = 7*x - 11 + 19 - 10. Give u*l(j) - 5*w(j). j - 1 Let l be 0/(-1) + -1 + 4. Suppose -l*q + 9 = w, -w + 24 = -5*w + 3*q. Let c = w - -1. Let z(a) = a. Let p(d) = -d**2 - 2*d + 1. Determine c*z(i) - p(i). i**2 - 1 Let l(r) = 0 - 4*r + r**3 - 3 - 1 - 4*r**2. Let j be -8*(3 + 10/(-4)). Let b(k) = -k**2 - k - 1. Give j*b(m) + l(m). m**3 Let p(i) = -i**2 - 1. Let y = 33 - 98/3. Let n(b) be the first derivative of -1 + y*b**3 + 0*b**2 - 1/4*b**4 + 0*b. Determine n(q) - p(q). -q**3 + 2*q**2 + 1 Let u(k) = k**2 + k. Let m(o) = -4*o**2 - 4*o. Let v(n) = 9*n**2 + 8*n. Let g(a) = -5*m(a) - 3*v(a). Determine g(q) + 5*u(q). -2*q**2 + q Let k(o) = -o**2 - 13*o + 2. Let x(p) = -p**2 - p. Determine k(t) - 3*x(t). 2*t**2 - 10*t + 2 Let h(r) = r**3 + 3*r**2 + 5. Suppose 4*s = 2*s + 6. Let j(z) = z**3 + 2*z**2 + 4. Let c = 6 - 8. Give c*h(t) + s*j(t). t**3 + 2 Let q be 2 + 12/(-2) + -1. Let g = 1 + 7. Let r(b) = -3*b**2 - 8*b - 8. Let l(t) = 1 - 6 - 5*t + 0 - 2*t**2. Calculate g*l(d) + q*r(d). -d**2 Let w(j) = 4*j**3 + 4*j**2 + 4*j + 6. Let i(d) = -3*d**3 - 3*d**2 - 3*d - 5. Let k = 1 + -1. Suppose -5 = -k*y + y. Let v = 71 + -77. What is v*i(n) + y*w(n)? -2*n**3 - 2*n**2 - 2*n Let z(f) = f**3 + 2*f**2 - 1. Let q be (-30)/4*-2*1. Let t(h) = -15*h + 5*h**3 + q*h + 3*h**2 - 2 - 3*h**3. Give -2*t(b) + 3*z(b). -b**3 + 1 Let p(x) be the second derivative of -x**5/4 + x**4/2 + 2*x. Let t(o) = -11*o**3 + 13*o**2. Calculate -13*p(y) + 6*t(y). -y**3 Let r(h) = -9*h**3 + 11*h**2 + 11*h + 1. Let a(g) = -5*g**3 + 6*g**2 + 6*g. Give -11*a(i) + 6*r(i). i**3 + 6 Let d(p) = -4*p**3 - 4*p**2 - 7*p - 2. Let h(w) = -2*w**3 - 5*w**2 - 8*w - 3. Calculate -3*d(v) + 2*h(v). 8*v**3 + 2*v**2 + 5*v Let c be 0 + -1 + 0 + 150/(-30). Let w(l) = -2*l - 4. Let p(r) = -12*r - 23. Give c*p(o) + 34*w(o). 4*o + 2 Let c(o) be the first derivative of o**2/2 + 9*o + 1. Suppose 22 = -4*v - 10. Let h be 7*1 + 4/(-2). Let k(m) = 2*m + 14. Determine h*k(g) + v*c(g). 2*g - 2 Let g(t) = t**2 + 2*t + 7. Let h(z) = -z - 3. Let v(a) = -a**3 + 8*a**2 - a + 11. Let j be v(8). Let l be (j/6)/(2/(-8)). Calculate l*g(f) - 5*h(f). -2*f**2 + f + 1 Let b(i) = -2*i + 3. Let a(r) = r - 2. Determine -6*a(d) - 5*b(d). 4*d - 3 Let w(t) = t - 1. Suppose 5*m = -3*y + 21, -8 - 5 = -3*m - 2*y. Let f(u) = u + 0*u - 6*u + u + m. What is f(c) + 3*w(c)? -c Let y(c) = -15*c**3 + 6*c. Let q(w) = -31*w**3 + 13*w. Calculate 6*q(r) - 13*y(r). 9*r**3 Let d(c) = -c**3 + 4*c**2 - 4*c. Let u = 7 - 6. Let z(v) = -v**2 + v. Let q be 4/(-12) + (-13)/(-3). Calculate q*z(h) + u*d(h). -h**3 Let k(f) = -f**3 + 4*f**2 - 3*f - 1. Let p be k(3). Let i(t) = t**2 - 2*t + 2. Let z(s) = -s + 1. Give p*z(o) + i(o). o**2 - o + 1 Let l(k) be the first derivative of -k**2/2 - 2*k - 5. Let x(a) = a + 1. Determine 3*l(f) + 4*x(f). f - 2 Let p(m) = 2*m**2 + m - 2. Let k(h) be the first derivative of 4*h**3/3 + 3*h**2/2 - 5*h - 1. Let g = 0 + 10. Suppose 3*u + g = 5*u. What is u*p(n) - 2*k(n)? 2*n**2 - n Let v(o) = o**2 - o + 1. Let g(h) = 0*h + 3*h**2 - 5*h + 6 + 3*h. Give g(b) - 4*v(b). -b**2 + 2*b + 2 Let t(q) = -9*q + 1. Let n(b) be the second derivative of -b**3/2 - 2*b. Determine 7*n(f) - 2*t(f). -3*f - 2 Let w(l) = l**2 + l - 1. Let u be w(1). Let b(i) = -4 + 1 - 2 - 2*i. Let a(n) = -n - 1. Calculate u*b(v) - 3*a(v). v - 2 Let y(j) = -3*j**2 + 2. Suppose -7*z + 6*z - 2 = 0. Let m(k) = 4 + 1 - 3 + 9 - 15*k**2. Give z*m(w) + 11*y(w). -3*w**2 Suppose -q + 3*g = -11 + 1, -3*q = -2*g - 16. Let i(u) = 8 - 13 + q. Let l(k) = k + 4. Determine 6*i(o) + l(o). o - 2 Let q(f) be the third derivative of f**3/6 + 11*f**2. Let h(u) = -2*u + 7. Determine 3*h(c) - 21*q(c). -6*c Let o(w) = -6*w**2 + w - 4. Let d(p) = -7*p**2 + p - 5. Suppose 3*r = -4*x + 15, 3*x + x + 4*r = 12. Determine x*o(a) - 5*d(a). -a**2 + a + 1 Let w(a) = 8*a**2 + 17*a + 17. Let g be ((-3)/2)/((-4)/136). Let s(c) = -c**2 - 2*c - 2. Determine g*s(l) + 6*w(l). -3*l**2 Let o(u) = -6*u**3 - 3*u**2 + 4*u - 4. Let m(c) = -5*c**3 - 3*c**2 + 3*c - 3. Calculate -4*m(i) + 3*o(i). 2*i**3 + 3*i**2 Let n(j) = -4*j**3 - 11. Let r(u) = 2*u**3 + 0 - 3*u**3 - 2 + 0. What is 2*n(q) - 11*r(q)? 3*q**3 Let z(n) = 12*n**3 + 2*n. Let b(a) = -47*a**3 - 9*a + 1. Give -2*b(p) - 9*z(p). -14*p**3 - 2 Let f(y) = 4*y - 5. Let d = -98 + 100. Let q(w) = 2*w - 2. Determine d*f(p) - 5*q(p). -2*p Let y be (-12)/42 + 18/14. Let r(h) = -4*h**3 - 5*h**2 + 5*h - 7. Let m(n) = n**3 + n**2 - n + 1. What is y*r(j) + 5*m(j)? j**3 - 2 Let s(x) = -12*x**2 + 10*x + 10. Let q(n) = -4*n**2 + 3*n + 3. Determine 10*q(c) - 3*s(c). -4*c**2 Let n(x) = -3*x - 2. Let q(p) = -7*p - 5. Calculate 9*n(b) - 4*q(b). b + 2 Let p(n) = n**3 + n + 1. Let r(o) = -10*o**3 - 28*o - 12. Calculate 12*p(a) + r(a). 2*a**3 - 16*a Suppose 6*v + 54 = -0*v. Let c(u) = -11*u**2 + 9. Let s = 1 - -3. Let f(i) = -5*i**2 + 4. Give s*c(z) + v*f(z). z**2 Let r(n) be the first derivative of n**5/30 - 5*n**4/8 + n**3/3 + 3. Let u(l) be the third derivative of r(l). Let y(m) = 2*m - 7. What is 6*u(w) - 13*y(w)? -2*w + 1 Let c(q) = -13*q**3 - 13*q - 10. Let a(l) = -9*l**3 - 9*l - 7. Let b(d) = -d**3 + 20*d**2 + d - 27. Let x be b(20). Give x*a(w) + 5*c(w). -2*w**3 - 2*w - 1 Let v(l) = -3*l + 14. Let b(r) be the first derivative of -1/6*r**3 - r + 5/2*r**2 + 1. Let t(w) be the first derivative of b(w). Calculate 11*t(m) - 4*v(m). m - 1 Let v(w) = 5*w**3 - 6*w**2 + 9*w. Let q(o) = -o**3 + o**2 - o. Determine -4*q(t) - v(t). -t**3 + 2*t**2 - 5*t Let i(u) = 6*u - 9. Let w(c) = -c + 2. Let p(t) = 5*i(t) + 24*w(t). Let l(y) be the third derivative of -y**4/6 - y**3/3 + 4*y**2. What is -7*l(a) - 5*p(a)? -2*a - 1 Let z(a) = 1 - 3 - 1. Let f(b) = -b + 1. Let l(n) = -1. Let v(y) = f(y) + 5*l(y). Determine -2*v(s) + 3*z(s). 2*s - 1 Let r(m) = -714*m**2 - 51*m. Let n(w) = 55*w**2 + 4*w. What is 51*n(x) + 4*r(x)? -51*x**2 Suppose z - 15 = 4*z. Let b(o) = -o. Let x(a) = 7*a - 2*a - a**2 - 3*a + 4. Let n be x(3). Let h(i) = -3*i + 2. Determine n*h(k) + z*b(k). 2*k + 2 Let r(b) = -b**3 + 3*b**2 + 3*b + 3. Let d(g) = -8*g**3 + 20*g**2 + 20*g + 20. Give -6*d(q) + 40*r(q). 8*q**3 Let r(o) = o**2. Let u(p) = p**2. Let t = 6 + -4. Suppose -4*y + 5*y - t = 0. Suppose -3*v + 2*v - 3 = 0. Determine v*u(s) + y*r(s). -s**2 Let z(r) = 2*r**2 + 5*r + 8. Let w be z(-2). Let s = 14 + -25. Let h(c) = -c
{ "pile_set_name": "DM Mathematics" }
ositive. z**(409/12) Simplify (c**(-1))**(-12)/(c*c**(1/2))**(4/21) assuming c is positive. c**(82/7) Simplify (l**(-2))**(2/31)*l**(-8)/(l/l**(-3/5)*l) assuming l is positive. l**(-1663/155) Simplify ((p**3)**34)**(-40) assuming p is positive. p**(-4080) Simplify (q/(q/q**1))**14/(q*q**(2/3))**(3/4) assuming q is positive. q**(51/4) Simplify (p**9/p)/p*p**(-20/7) assuming p is positive. p**(29/7) Simplify (j*j/(j/(j**(5/7)/j)))**20 assuming j is positive. j**(100/7) Simplify (t**(-4)/(t**(-2)*t*t))**28 assuming t is positive. t**(-112) Simplify ((w*w**0)/w)**(13/7)/(w**(-1/2))**38 assuming w is positive. w**19 Simplify ((j/(j*j/(j*j**(-4)))*j)/j)**(10/3) assuming j is positive. j**(-40/3) Simplify v/(v**(1/5)/v)*v*v**(3/11)/v*v*v assuming v is positive. v**(224/55) Simplify (u/(((u/u**(-2/5)*u)/u)/u))**45/(u/(u**(2/5)/u)*u*((u*u**(-1/4))/u)/u) assuming u is positive. u**(513/20) Simplify (g/g**(-6/11))**(-48) assuming g is positive. g**(-816/11) Simplify (n**(-2/5)*n**(-2/9))/(n*n**(-1)*n*n*n**4) assuming n is positive. n**(-298/45) Simplify k*(k/(k*k**31)*k*k)/k*k**(5/6) assuming k is positive. k**(-169/6) Simplify (((p/p**(1/3)*p)/p*p)/p**(-3/5))/(p**(1/6)*p**(-8)) assuming p is positive. p**(101/10) Simplify (x/(x**(-1/43)/x))/x**(-11) assuming x is positive. x**(560/43) Simplify (j**(-4/3)/j*(j/(j**(-3/2)/j))/j)/(j**(1/4))**(3/14) assuming j is positive. j**(19/168) Simplify j**(23/5)/(j/j**29) assuming j is positive. j**(163/5) Simplify (h**(-18/7)*h*h)/h**(2/51) assuming h is positive. h**(-218/357) Simplify (((k/(k**(-5/6)/k))/k)/(k/k**(-12)))**(-47) assuming k is positive. k**(3149/6) Simplify a**(3/2)/(a**6/a)*(a*a**(-2/11))/(a*a**(1/5)) assuming a is positive. a**(-427/110) Simplify (((k/(k**2*k)*k)/k)/k)**(-36) assuming k is positive. k**108 Simplify ((a*(a**(-3)/a)/a*a)**(2/23))**17 assuming a is positive. a**(-102/23) Simplify w**28/(w*w**(7/2)*w) assuming w is positive. w**(45/2) Simplify (r/(r/(r*r/(r/r**(-1)))))**(-5/8)/(r**(-3/5)/r**(-3)) assuming r is positive. r**(-12/5) Simplify (x/(x**(-3/4)/x))**(-43) assuming x is positive. x**(-473/4) Simplify p**(-2/19)/p**(13/4) assuming p is positive. p**(-255/76) Simplify z**4/(z**(-2/11)*z)*(z**0)**(-2) assuming z is positive. z**(35/11) Simplify ((s/s**(-7))/s*s)**(-4) assuming s is positive. s**(-32) Simplify (n**11)**(3/28) assuming n is positive. n**(33/28) Simplify (((q*q/(q/(q/(q**8/q)))*q)/q)/q)/q*q**(-5) assuming q is positive. q**(-12) Simplify ((r*(r**(3/7)/r)/r)/(r**(1/3)*r))/((r/(r**(-5/3)*r))/r**(2/17)) assuming r is positive. r**(-411/119) Simplify m/(m/(m/m**(1/3)))*m**(-2/15)*m**(-1/3)*m**3 assuming m is positive. m**(16/5) Simplify x*x/((x*(x*x**(-8))/x)/x)*x*(x/((x/(x**(-7)/x*x))/x)*x*x)/x*x*x*x**(-6)*x**5 assuming x is positive. x**7 Simplify ((w**4/w)/w*w**0)/(w**7/w*w/(w*w*((w/w**(-4/5))/w)/w*w)*w) assuming w is positive. w**(-16/5) Simplify d/(d**3*d)*(d/(d/(d*d**1)))/d*(d/d**(-2))**2 assuming d is positive. d**4 Simplify (((s**(-9)/s)/s)/((s*s/s**(-10)*s*s*s)/s))/((s/(s**2/s))/(s**0/s)) assuming s is positive. s**(-26) Simplify r**(-2)/((r**(3/5)*r)/r)*(r/(r/(r/(r/r**(-2/5)))))**(10/9) assuming r is positive. r**(-137/45) Simplify (d*d/d**16*d)/d**(18/7) assuming d is positive. d**(-109/7) Simplify (((p/p**(-4))/p*p)/(p*p**(2/13)))/((p**(1/2)*p)/((p**(-2)*p)/p)) assuming p is positive. p**(9/26) Simplify (u**(-5))**26 assuming u is positive. u**(-130) Simplify (p*p/(p**(-2/7)/p))**(-15)*(p*p/p**(-1/6))/(p/(((p**(-2)/p)/p)/p)) assuming p is positive. p**(-2231/42) Simplify (b*b**(2/17)/b)**(-13/5) assuming b is positive. b**(-26/85) Simplify (z**2*z)**(-4)/(z*z*z**(1/9)*z/z**(2/15)) assuming z is positive. z**(-674/45) Simplify ((d/d**(3/13)*d)/d)/((d*d**(-5)*d)/d) assuming d is positive. d**(62/13) Simplify (d*((d/d**(-6))/d)/d*d)/(d/(d/d**(-1/4)))*d/(d/(d**(2/9)/d))*(d**(-2/7)/d)/d assuming d is positive. d**(1055/252) Simplify x**(-8/3)/((x*x**(-14)*x)/x) assuming x is positive. x**(31/3) Simplify j**(-1/3)*j**2/j*j**(-4)/j**(-1/6) assuming j is positive. j**(-19/6) Simplify (b**(1/11)/((b**(1/6)/b)/b))**3 assuming b is positive. b**(127/22) Simplify (n/n**(-9))/(n/(n*n/(n*((n*n**1/n*n*n)/n)/n))) assuming n is positive. n**9 Simplify x**(-3/7)*x**(-5/6) assuming x is positive. x**(-53/42) Simplify (t/(t/t**(-1/2))*t*t/(t*t**(-6)*t))/((t**(-2/23)/t)/(t*t**(2/17)*t)) assuming t is positive. t**(6807/782) Simplify (z**1)**25 assuming z is positive. z**25 Simplify n/((n**(-2/17)/n)/n)*n/(n/n**(-3/13))*((n**(-9)*n)/n)/n**(-1/10) assuming n is positive. n**(-13289/2210) Simplify (s/(s*s**8*s))/(s*s*s**(-1)) assuming s is positive. s**(-10) Simplify ((m/m**(-2/9))/m)**(1/84) assuming m is positive. m**(1/378) Simplify (x/(x**(-2/23)/x)*x*x**(1/8)*x)**(-1/43) assuming x is positive. x**(-775/7912) Simplify ((p**(-1/2)/p)/p)**27 assuming p is positive. p**(-135/2) Simplify (j/(j/j**(-13)))/j**(2/27) assuming j is positive. j**(-353/27) Simplify ((((b*b/((b*b**(-5))/b*b)*b*b)/b)/b*b)/b*(b/b**(3/8))/b)**9 assuming b is positive. b**(405/8) Simplify h/(h/((h**(-22)/h)/h*h*h))*h**(-24) assuming h is positive. h**(-46) Simplify ((((v/(v*v**(2/5)/v*v))/v)/v)/(v*v**(-5)*v*v))**(-4/13) assuming v is positive. v**(8/65) Simplify (l/(l/((l*l*l**(5/7))/l))*l*l*l/(l*l**(2/31)*l))**(-8) assuming l is positive. l**(-4600/217) Simplify l**(-7/4)*l/l**(-22) assuming l is positive. l**(85/4) Simplify ((b**5*b*b)/(b/(b/(b/b**(1/4)))*b))**(-21) assuming b is positive. b**(-441/4) Simplify ((h**2)**(-46))**(-32) assuming h is positive. h**2944 Simplify p*p**(-3/8)*p*p*(p**21/p*p)/p*p*p assuming p is positive. p**(197/8) Simplify ((q/(q**(-5/4)*q))/q)/(q/((q**(-2/5)*q)/q))*q**(2/3)/(q*q**(2/5)/q) assuming q is positive. q**(-53/60) Simplify (m*((m/m**2)/m)/m)**(-18)*(m*m*m**(3/5))**(-2/49) assuming m is positive. m**(8794/245) Simplify t*t/t**12*(t*(t/((t/t**(-4))/t))/t*t)/t assuming t is positive. t**(-13) Simplify (j*j**(-1/2)*j*j*j)**(-22/7)/(j**(-5)/(j/j**(-1))) assuming j is positive. j**(-4) Simplify (l**(-1/3)*l*l)**37/((l*l/l**(-6))/l**7) assuming l is positive. l**(182/3) Simplify (g**20/g)/(((g/(((g/(g*g**7))/g)/g))/g)/g) assuming g is positive. g**11 Simplify (((n/n**(5/3))/n)/(((n**5/n)/n)/n))**15 assuming n is positive. n**(-55) Simplify h*h/(h*h*h/(h*(h**9*h)/h*h))*h*h*h*(h**(9/5)*h)/h assuming h is positive. h**(74/5) Simplify d/(d*d/d**3*d)*d**2*d**(3/4)*d*(d**1/d)/d*d assuming d is positive. d**(19/4) Simplify ((u/(u**(-2/47)*u*u*u))/u)/(u*u*u**5*u) assuming u is positive. u**(-515/47) Simplify v**(18/7)*v/v**(4/17) assuming v is positive. v**(397/119) Simplify (m**(4/3)*m/m**(-7))/(m**(5/2)*m*m**(1/3)) assuming m is positive. m**(11/2) Simplify m**(-5)/m**2 assuming m is positive. m**(-7) Simplify (q/q**(2/11)*q)/(q/(q**8*q)*q)*(q*q**(-2/3))**22 assuming q is positive. q**(533/33) Simplify (v**(2/13))**26 assuming v is positive. v**4 Simplify (v/v**5)**40 assuming v is positive. v**(-160) Simplify v**18*v**(-22) assuming v is positive. v**(-4) Simplify (((d*d**6)/d)/d**(-4))/(d**0)**(-9/10) assuming d is positive. d**10 Simplify ((r/r**11*r)/r)/(r*r/(r*r/(r*r**(-2)))) assuming r is positive. r**(-9) Simplify ((b**(2/9))**5)**(-2/85) assuming b is positive. b**(-4/153) Simplify (p/(p**(3/7)/p)*p)**(5/3) assuming p is positive. p**(30/7) Simplify ((f**9/f)/f*f*f/(f*f**(4/9))*f*f*f)**(1/10) assuming f is positive. f**(19/18) Simplify (((c*(c**(-2/17)*c)/c)/c)**(-36))**(-2/27) assuming c is positive. c**(-16/51) Simplify r**(3/7)/(r**(3/13)/r) assuming r is positive. r**(109/91) Simplify u*u/(u/(u*u/(u*u**(-16))*u))*u*u**(-10) assuming u is positive. u**10 Simplify q**(-1/9)/(q*q**9*q) assuming q is positive. q**(-100/9) Simplify d**(-21)*d*d*(d**(9/4)*d)/d assuming d is positive. d**(-67/4) Simplify q/q**(5/9)*((((q**(-1/23)*q)/q)/q)/q)/q assuming q is positive. q**(-538/207) Simplify (s*s**(-18)*s*s)**(-20/7) assuming s is positive. s**(300/7) Simplify (n*n**2)**(-35)/(((n**(1/4)*n)/n)/n**3) assuming n is positive. n**(-409/4) Simplify (a/(a/(a**6*a))*a*a**0/a*a)**(-45) assuming a is positive. a**(-360) Simplify (((t/(t/((t**0*t*t)/t)))/t)/t)**(2/5) assuming t is positive. t**(-2/5) Simplify ((y**(-2/5))**(-12))**(-24) assuming y is positive. y**(-576/5) Simplify (
{ "pile_set_name": "DM Mathematics" }
3? -310240014 In base 7, what is 2101 + 302032? 304133 In base 10, what is 1384557 + -7? 1384550 In base 3, what is 101202001112 + 1220102? 101210221221 In base 10, what is -63 + 38721? 38658 In base 6, what is 501542 + 434? 502420 In base 8, what is -1674522 - -306? -1674214 In base 2, what is 0 + 110100010101111001110? 110100010101111001110 In base 4, what is -123111 - 202300232? -203030003 In base 6, what is 4213 + 5013? 13230 In base 5, what is -12043223 + -224? -12044002 In base 13, what is -10a1a8 - -13? -10a195 In base 2, what is 11 - 1001011100010011111001111? -1001011100010011111001100 In base 3, what is -1 + -1112120202002? -1112120202010 In base 2, what is -100111001 - 1111010000100010101? -1111010001001001110 In base 11, what is 104 - -4272aa? 427403 In base 13, what is -8602 + -8b2? -91b4 In base 7, what is 611131622 + -5? 611131614 In base 12, what is -980a46 + 36? -980a10 In base 9, what is -67652 + -1614? -70366 In base 6, what is -233023 - -53304? -135315 In base 5, what is 1222113 - 11022? 1211041 In base 13, what is -5 + -30794938? -30794940 In base 9, what is -2666 + 40881? 37214 In base 4, what is -111311000130030 - 1? -111311000130031 In base 13, what is 101b94 - 8? 101b89 In base 15, what is b559da - -1? b559db In base 3, what is -2 - 10102200020121? -10102200020200 In base 8, what is 4 - -252776375? 252776401 In base 5, what is 124204 + -23134412? -23010203 In base 2, what is -100 - 1110100011010100101? -1110100011010101001 In base 3, what is -101010221 + 1121222? -22111222 In base 2, what is 10001010000 - -11110101011? 101111111011 In base 7, what is 1513 + -311446? -306633 In base 4, what is -202322 + -33313223? -100122211 In base 2, what is 110 + -1101011000111111? -1101011000111001 In base 12, what is 5 + -a365736? -a365731 In base 11, what is -6 - -12850? 12845 In base 12, what is abbba + 16? b0014 In base 6, what is 155 - -15223143? 15223342 In base 15, what is -4ab8 - -1942? -3176 In base 9, what is 170 - 580656? -580476 In base 14, what is 28a - -53a2? 564c In base 10, what is 97 + 218344? 218441 In base 3, what is -11 - -101022122000111? 101022122000100 In base 16, what is 2 - -ebb42a? ebb42c In base 4, what is -1223231003032 - 33? -1223231003131 In base 3, what is 12220010220201 + -2? 12220010220122 In base 8, what is 5 - 443253? -443246 In base 14, what is 1026 - 53d? 8c7 In base 14, what is -245d - -144? -2319 In base 9, what is 3 + -12713205? -12713202 In base 13, what is -2 + 1067559? 1067557 In base 7, what is -3 + -444630242? -444630245 In base 5, what is 13432014 - 3231? 13423233 In base 5, what is -1 - -13400230011? 13400230010 In base 14, what is 50 - a202? -a192 In base 13, what is 13718bb0c - -2? 13718bb11 In base 5, what is 231043023 - 40? 231042433 In base 9, what is 7078 + -74360? -66271 In base 16, what is -55b5831 + 0? -55b5831 In base 7, what is 1204553314 + -4? 1204553310 In base 6, what is -111 + 340304? 340153 In base 5, what is 1332101202 - -131? 1332101333 In base 2, what is 10011 + -101011100110001010110? -101011100110001000011 In base 3, what is -21021 + 1202222000? 1202200202 In base 10, what is -894595 - -12? -894583 In base 4, what is 112 - -210112320330? 210112321102 In base 4, what is -1302112 + 101331? -1200121 In base 2, what is -1010 + -1011010010101000011010111? -1011010010101000011100001 In base 2, what is 111001010000100 + 1000111011? 111010010111111 In base 13, what is -9a58a + -4? -9a591 In base 13, what is -3 + 1c334c? 1c3349 In base 11, what is -34 - -1193347? 1193313 In base 7, what is -24 - 31120546? -31120603 In base 2, what is 11110001101010100010 - 1111? 11110001101010010011 In base 11, what is -13717aa - 1a? -1371819 In base 13, what is 732 - -3378? 3aaa In base 15, what is 1226b + 39e? 1261a In base 12, what is -5798b + -111? -57aa0 In base 13, what is 611c0 - 34? 61189 In base 4, what is 2100023222 + -2102? 2100021120 In base 6, what is -54 + 23345143? 23345045 In base 11, what is 22448 - 93? 22365 In base 7, what is 16312434 + 36? 16312503 In base 12, what is -3 + 2157b47? 2157b44 In base 2, what is -10010011100 + 1111100110001? 1101010010101 In base 6, what is 2154140 + 100? 2154240 In base 2, what is 100001001001011011010 + 11? 100001001001011011101 In base 3, what is 0 + 12102100121121? 12102100121121 In base 5, what is 2443002222 - 10? 2443002212 In base 12, what is 80 + 698155? 698215 In base 2, what is -100101 - -111111100011011111? 111111100010111010 In base 6, what is -311023554 + 0? -311023554 In base 14, what is da + -354cd0? -354bd4 In base 7, what is -216 + -14324143? -14324362 In base 8, what is 3644 + 206113? 211757 In base 4, what is -131003 - -1323100? 1132031 In base 16, what is cb662 - -232? cb894 In base 12, what is -8 - -99ba7a? 99ba72 In base 16, what is -174295 - 26? -1742bb In base 13, what is -a2 + b307c? b2caa In base 16, what is e + 170a7d? 170a8b In base 11, what is 849327 + 862? 84a089 In base 6, what is -1305443045 + -45? -1305443134 In base 7, what is 26130 + -11142? 14655 In base 3, what is -111 + -11211211101021? -11211211101202 In base 6, what is -130512325 - -1? -130512324 In base 10, what is 32 - -229402? 229434 In base 6, what is 1 - 43401514? -43401513 In base 10, what is 669 - -77? 746 In base 15, what is 3db7e6 + 4? 3db7ea In base 4, what is -1000330100232 + 1? -1000330100231 In base 14, what is 4da57a - 74? 4da506 In base 3, what is 10200010202 - -21221? 10200102200 In base 6, what is 1552 + 30501531? 30503523 In base 13, what is 3b1 + -1514? -1133 In base 6, what is 324421220 - -1? 324421221 In base 3, what is 122111201 - -111011111? 1010200012 In base 3, what is -210 + -20211020111? -20211021021 In base 3, what is 1 - -111220001002200? 111220001002201 In base 9, what is -110 - 666781? -667001 In base 7, what is -21 + 156244546? 156244525 In base 7, what is -1433 - -2230540? 2226104 In base 3, what is 1022001220 - -110? 1022002100 In base 7, what is 206646 - 1602? 205044 In base 13, what is -26c + -27cb5? -28254 In base 7, what is -11620 - -1532652? 1521032 In base 2, what is -10010 - -111010100100000001001? 111010100011111110111 In base 8, what is -211 + 713471? 713260 In base 3, what is 2 + 102122120010102? 102122120010111 In base 8, what is -23414404 + -2? -23414406 In base 9, what is -38061601 + -45? -38061646 In base 6, what is 303042422410 + 0? 303042422410 In base 3, what is 2011211 + 20000121? 22012102 In base 14, what is -b + 1a60d6c? 1a60d61 In base 10, what is 64 - -280509? 280573 In base 5, what is 4444 + 12340344? 12400343 In base 3, what is 2001222212222 - -1122? 2001222221121 In base 12, what is a - 1457845? -1457837 In base 14, what is -2 + dbbd? dbbb In base 14, what is -13b467a41 - 4? -13b467a45 In base 15, what is 3de32 - -23b? 3e16d In base 13, what is -16ac - 14522? -15c01 In base 5, what is 10 + -120423203020? -120423203010 In base 10, what is 353 - 781620? -781267 In base 7, what is 2161 - 24560? -22366 In base 16, what is 1e11 + -f46? ecb In base 2, what is -1 - 100110000111100011001100001? -100110000111100011001100010 In base 2, what is 1010000000101001 - -11000010111010? 1101000011100011 In base 10, what is -20773047 + 2? -20773045 In base 11, what is -6 - 149a120? -149a126 In base 15, what is 1321 + 6dcc? 81ed In base 9, what is 108358427 - 3? 108358424 In base 8, what is -6105 + -45647? -53754 In base 13, what is 4b71 - -122? 4c93 In base 3, what is -100102221 + 11010122210? 10210012212 In base 6, what is -42035315123 - -5? -42035315114 In base 13, what is -68 - 26641b4? -266424c In base 16, what is -68113b0 + 3? -68113ad In base 15, what is -1ce + 72? -15c In base 13, what is 3 - 964838? -964835 In base 3, what is -10122011 + -212011210210? -212022102221 In base 8, what is -52263 + -105640? -160123 In base 2, what is -101 - -101110110110100010010? 101110110110100001101 In base 8, what is 47512713 - -4? 47512717 In base 9, what is -8 + -13423104? -13423113 In base 7, what is -220233 + -1404? -221640 In base 15, what is -23ba3 + -24? -23bc7 In base 11, what is -675 - 2138? -2802 In base 9, what is 224216 - -540? 224756 In base 6, what is -100 - -322300342? 322300242 In base 7, what is 1 - 545161453? -545161452 In base 7, what is 3 + 100662010? 100662013 In base 11, what is -2147a6227 + -3? -
{ "pile_set_name": "DM Mathematics" }
+ 44*t Let s(z) = 144*z**2 - 40*z**2 - 38*z**2 - 19*z**2 - 49*z**2. Let u(x) = -1914*x. Give u(s(n)). 3828*n**2 Let j(i) = -30*i**2 + 14*i - 1295. Let d(p) = 17*p**2 - 8*p + 646. Let s(l) = -7*d(l) - 4*j(l). Let k(w) = -2*w**2. Determine s(k(q)). 4*q**4 + 658 Let j(p) = 3*p**2 - 5*p - 10. Let z(l) = -3*l**2 + 3*l**2 - 3*l**2 - 2*l**2 + l**2 + 4*l + 8. Let a(s) = -4*j(s) - 5*z(s). Let v(y) = 18*y**2. What is v(a(m))? 1152*m**4 Let o(d) = -2*d. Let f(u) be the second derivative of -u**3/3 - 2103*u**2 - 433*u. What is o(f(k))? 4*k + 8412 Let x(h) = -8*h**2 - 15451 + 7724 + 7764. Let p(c) = -c. Give x(p(b)). -8*b**2 + 37 Let b(a) = 2*a. Suppose 0*p = -8*p + 112. Let g(q) = -3*q - q - p*q + 6*q. Let x(d) = 9*b(d) + g(d). Let s(k) = -3*k**2. Give x(s(i)). -18*i**2 Let v(z) = z**2. Let k(t) = 1352903*t. What is k(v(h))? 1352903*h**2 Let g(m) = -28356*m**2. Let o(b) = -257*b. Calculate g(o(q)). -1872885444*q**2 Let d(v) = 2*v**2 - 11*v + 30. Let k(c) = -c - 1779. Determine d(k(z)). 2*z**2 + 7127*z + 6349281 Let y(b) = 2*b**2. Let u(j) = 575*j**2 + 10*j + 3. Let p be u(-2). Let g(x) = -1083*x - 1089*x + p*x. Determine g(y(o)). 222*o**2 Let t(p) = -4*p**2. Let q(m) be the second derivative of -47*m**3/3 + 5*m**2 - 2453*m. Calculate t(q(o)). -35344*o**2 + 7520*o - 400 Let s(m) = -m. Let y(w) = -794*w**2 - 935*w**2 + 11 - 11. Give y(s(j)). -1729*j**2 Let q = -620 - -623. Let f(a) = -q + 3*a - 5*a - 1. Let i(z) = 4*z. Determine f(i(t)). -8*t - 4 Let k(r) = 3*r**2 - 22046552*r. Let f(i) = 3*i. What is f(k(w))? 9*w**2 - 66139656*w Let z(o) = -13*o**2 - 10. Let l(y) = 43340*y. Calculate l(z(s)). -563420*s**2 - 433400 Let m(s) be the second derivative of -s**3/3 + 314*s. Let t(f) = -198*f. What is t(m(o))? 396*o Let a(m) = -388 + 4*m + 38 + 350. Let o(d) be the second derivative of d**3 + d. What is o(a(b))? 24*b Let p(y) be the third derivative of y**5/120 + 35*y**3/2 + 67*y**2 - 2*y. Let s(j) be the first derivative of p(j). Let c(l) = 151*l**2. What is c(s(k))? 151*k**2 Let f(d) be the third derivative of d**5/12 + 17*d**2 + 20*d. Let c(a) = 242*a. What is c(f(v))? 1210*v**2 Let f = 6 + -2. Let i(j) = f*j + j - 4*j. Let q(a) = a**2 + 14*a - 1. Let g(w) = 39*w**2 + 728*w - 52. Let h(c) = 3*g(c) - 156*q(c). Calculate h(i(o)). -39*o**2 Let z(w) = -6*w**2. Let v(c) be the second derivative of 46*c**3/3 - 3*c + 62. Determine z(v(t)). -50784*t**2 Let z(u) = -u. Let y be (624/(-15))/(-4) - 10/25. Let g be (-5)/y - 3/(-2). Let n(b) = -10*b. Let p(q) = g*n(q) - 2*z(q). Let v(r) = 3*r. What is v(p(f))? -24*f Let o(p) = -p**2. Let b(r) = 3*r - 3854570. Calculate b(o(z)). -3*z**2 - 3854570 Let k(q) = 2*q**2. Let x be -1*(3 - 3 - -5). Let i(y) = 131*y**2 + 10*y + 10. Let m(z) = 4389*z**2 + 336*z + 336. Let s(j) = x*m(j) + 168*i(j). Give s(k(h)). 252*h**4 Let n(s) = -2*s + 139. Let y(f) = 61*f - 26*f - 15*f - 42*f. Calculate n(y(a)). 44*a + 139 Let m(i) be the second derivative of -17*i**4/12 - 60*i. Let w(c) be the second derivative of 0*c**2 + 0 - 4*c - 1/3*c**3. Determine w(m(b)). 34*b**2 Let i be 2/((-8)/(-52))*1. Let v(a) = i*a + 45*a - 3*a. Let z(d) = 3*d. Calculate z(v(g)). 165*g Let z(k) = 14*k. Let p(n) = 133359*n**2 + n + 1. Give p(z(m)). 26138364*m**2 + 14*m + 1 Let n(k) = -1. Let z(l) = -l - 1. Let s(r) = -n(r) + z(r). Let i(v) = v**2 + v - 12. Let p(w) = -22*w + 264. Let o(c) = -110*i(c) - 5*p(c). Give s(o(g)). 110*g**2 Let a(u) = 88*u**2. Let n(s) = 5*s + 126984. Calculate n(a(o)). 440*o**2 + 126984 Let z(y) = -87*y**2. Let i(p) = 10*p - 38. Let d be i(4). Let q(g) = 511 + d*g**2 - 511. What is q(z(j))? 15138*j**4 Let u(z) = -2*z**2. Let q(a) = -759 - 871 - 880 - a + 2071. Calculate u(q(n)). -2*n**2 - 1756*n - 385442 Let h(t) = -3*t**2 - 84*t. Let r(i) be the third derivative of i**4/4 + 2*i**2 - 167*i. Determine h(r(a)). -108*a**2 - 504*a Let p(n) = 23*n**2. Let i be ((-6)/(-4))/(4 - (-170)/(-44)). Let m(g) = 11*g - 6. Let c(r) = -21*r + 11. Let l(t) = i*m(t) + 6*c(t). Calculate l(p(h)). -115*h**2 Let i(p) = p. Let o(b) be the first derivative of 2*b - 25 - 19/2*b**2. Calculate i(o(w)). -19*w + 2 Let o(l) = -7 + 6*l + 0 - 16*l. Let y(g) = -3903*g + 3906*g - 4 + 0 + 6. Let q(c) = 2*o(c) + 7*y(c). Let j(r) = 12*r**2. Give j(q(p)). 12*p**2 Let h(u) = 1663*u**2 - 3542*u. Let a(j) = -5*j. Give h(a(y)). 41575*y**2 + 17710*y Let t be 1 + -1 + (-10)/(-2). Let u(d) = 3*d - 3*d + t*d**2. Let y(i) be the third derivative of -3*i**4/8 - 316*i**2 - i - 37. Determine y(u(p)). -45*p**2 Let q(i) = 0*i**2 - 5*i**2 + 3*i**2. Let p(x) be the third derivative of 29*x**4/24 + 10143*x**2. Determine q(p(j)). -1682*j**2 Let q(g) = 89995440*g. Let v(j) = j. Determine v(q(o)). 89995440*o Let l(p) be the third derivative of -5*p**4/2 + 1215*p**2 - 2*p. Let w(f) = -13*f. Calculate l(w(i)). 780*i Let m(o) = o. Let k(n) = -76 + 7*n + 72 + n. Let a(l) = 2. Suppose 0 = -4*y - 3*f + 11, -7*f = 5*y - 3*f - 14. Let g(j) = y*a(j) + k(j). Calculate m(g(t)). 8*t Let k(b) be the first derivative of 0*b - 35/2*b**2 - 69. Let j(i) = -2*i**2. Determine k(j(x)). 70*x**2 Let y(g) = 1200*g. Let u(v) = -38*v**2. Let j(w) = -16*w**2. Let a(n) = 12*j(n) - 5*u(n). Determine a(y(q)). -2880000*q**2 Let o(v) = 15*v**2 - 55*v. Let k(s) = 1420*s. What is o(k(u))? 30246000*u**2 - 78100*u Let l(n) = 28*n**2. Let f(a) = 77*a. Let u(b) = 0 + 4*b - 11*b + 0 + 9*b. Let j(m) = -f(m) + 35*u(m). Give j(l(r)). -196*r**2 Let v(u) = -u + 8. Let m(o) = -132*o**2 + 168*o + 28. Let g(c) = 24*c**2 - 30*c - 5. Let d(q) = 28*g(q) + 5*m(q). Determine v(d(x)). -12*x**2 + 8 Let a(f) = 3*f**2. Let z(t) be the first derivative of -t**3/3 - 10*t - 9681. Determine z(a(u)). -9*u**4 - 10 Let z(f) = 561*f**2 + 1. Let n(r) = -2*r - 10. Let a(d) = 11*d + 40. Let b(h) = -a(h) - 4*n(h). What is z(b(q))? 5049*q**2 + 1 Let u(b) be the second derivative of 19*b**3/6 - b**2 + 2058*b. Let l(d) = -3*d**2. What is l(u(z))? -1083*z**2 + 228*z - 12 Let n(c) = 405567872*c**2. Let m(r) = r**2. Give m(n(z)). 164485298798608384*z**4 Let d(r) = 2*r**2. Let u be (4/20 - (-9423)/(-15)) + -2. Let m = 935 + u. Let w(s) = m - 305 - 3*s**2. Give w(d(b)). -12*b**4 Let x(p) = -p. Let r(c) = 31548*c + 82. Calculate r(x(t)). -31548*t + 82 Let n(y) = -3*y**2 + 2*y + 46. Let q(v) = -2*v - 705. Give q(n(j)). 6*j**2 - 4*j - 797 Let n(i) = 26969598*i**2 - 2. Let r(q) = q**2. Calculate n(r(b)). 26969598*b**4 - 2 Let c(l) = 16*l - 3. Let j(k) = 32*k - 7. Let p = -184 - -187. Let d(u) = p*j(u) - 7*c(u). Let f(a) = 19*a**2. Determine d(f(r)). -304*r**2 Let d(h) = -2*h**3 + 35*h**2 + 18*h + 7. Let a be d(18). Let p(i) = 21 - 27 + 0*i**2 + 4*i**2 - 37 - a. Let z(y) = -y**2. Determine p(z(c)). 4*c**4 - 50 Let o(h) = 4*h + 13493833. Let t(l) = l. Calculate o(t(y)). 4*y + 13493833 Let o(q) be the first derivative of 116*q**3/3 - 4*q**2 + 2172. Let n(l) = 2*l**2. Give o(n(b)). 464*b**4 - 16*b**2 Let m(t) = -104*t**2 - 6. Let w(v) be the second derivative of v**4/12 - 42*v. Give w(m(n)). 10816*n**4 + 1248*n**2 + 36 Let i = -14 + 16. Let l(m) = 9*m + 5. Let s be l(i). Let p(v) = -67*v + 21*v + 22*v + s*v. Let c(u) = -19*u. Determine c(p(z)). 19*z Let m(r) be the first derivative of 9*r**3 + 1. Let t be 13 - -3 - 4/(-2). Let g(z) = t*z - 21*z + 4*z. Determine m(g(n)). 27*n**2 Let t be (-880)/40*(10/(-4) - -2). Let d(l) = 7*l - 3*l - 7*l - t + 3. Let f(z) = -3*z. Determine f(d(u)). 9*u + 24 Let s(d) = -d. Let l(p) be the third derivative of 0*p - 2*p**2 + 9 + 17/24*p**4 - 1/6*p**3. Give s(l(c)). -17*c + 1 Let i(p) = -2127178*p + 2127177*p + 3 - 3. Let w(a) = 13166*a. Calculate w(i(j)). -13166*j Let n(u) = -u - 1. Suppose 0 = -10*a - 8*a - 54. Let q(y) = 4*y + 3. Let k(z) = a*n(z) - q(z). Let r(p) = -3*p + 43. Calculate k(r(h)). 3*h - 43 Let x(z) = 85*z. Let b(w) = 121791*w. Give x(b(s)). 10352235*s Let b(p) = 2*p - 264. Let m(n) = -2*n + 198. Let x(u) = -3*b(u) - 4*m(u). Let v(z) = z - 88. Calculate x(v(k)). 2*k - 176 Let j(s) = -172*s**2. Let q(r) be the third derivative of r**7/840 + 29*r**4/4 + 31*r**2. Let u(n) be the second derivative of q(n). What is u(j(m))? 88752*m**4 Let z(c) = 3*c. Let j(i) = 7*i**2 + 3*i. Suppose -w + 4 - 2 = 0. Let g(q) = 5*q - 265*q**2 + 285*q**w + 3*q. Let m(x) = 3*g(x) - 8*j(x). Determine z(m(f)). 12*f**2 Let a(u) = -5*u**2 + 1625*u - 1625*u. Le
{ "pile_set_name": "DM Mathematics" }
1*m**2 + 14*m**3. 8*m**3 Collect the terms in 8*r**2 + 4 + 32 - 37. 8*r**2 - 1 Collect the terms in 41*q**2 + q**2 - 4*q - 38*q**2. 4*q**2 - 4*q Collect the terms in -1300*h + 794*h + 496*h. -10*h Collect the terms in -2068 + 115*b + 2068. 115*b Collect the terms in -7 + 213*p + 213*p + 221*p + 223*p - 866*p. 4*p - 7 Collect the terms in -5637*o**2 - 5599*o**2 + 2*o**3 + 16838*o**2 - 5602*o**2. 2*o**3 Collect the terms in -11*o**3 - 13*o - 5*o**3 + 5*o + 5*o + 3*o. -16*o**3 Collect the terms in 51 - 36 - 31 + 442*l**3 + 16. 442*l**3 Collect the terms in -874*r - 888*r + 2656*r - 6 - 882*r. 12*r - 6 Collect the terms in 111252*o**2 + 111595*o**2 - 222849*o**2. -2*o**2 Collect the terms in -42*n**2 + 49*n**2 - 43*n**2 + 78*n**2 - 38*n**2. 4*n**2 Collect the terms in -8*q**3 - 8*q**3 - 30*q**3 - q**2 + q**2. -46*q**3 Collect the terms in 94112 + 0*t - 94112 - 24*t. -24*t Collect the terms in 41*m**3 - 3 - 1 - 27*m**3 + 4 - 3*m**3. 11*m**3 Collect the terms in -1000*k - 924*k + 1926*k. 2*k Collect the terms in -16*l**3 + 13*l**3 - 10*l**3 - 2 + 2 + 17*l**3. 4*l**3 Collect the terms in -915*l + 133*l - 74*l - 697*l. -1553*l Collect the terms in 13 + 28 + 14 + 0*a + 2*a. 2*a + 55 Collect the terms in -280806*t + t**2 + 140367*t + 140439*t. t**2 Collect the terms in 10*g + 4875 + 5*g - 9766 + 4891. 15*g Collect the terms in -3924*y**2 + 348*y - 348*y + 388*y**2. -3536*y**2 Collect the terms in m**3 + 34*m**2 - 52 + 52 - 120*m**2. m**3 - 86*m**2 Collect the terms in -5*l - 3*l + l**2 + 16*l - 8*l + 0*l. l**2 Collect the terms in 77*x - 8 + 23 - 13 - 85*x. -8*x + 2 Collect the terms in -32431*t**3 + 0*t**2 - 28728*t**3 + 0*t**2. -61159*t**3 Collect the terms in 199*g**2 + 258*g - 20*g**2 - 96*g. 179*g**2 + 162*g Collect the terms in -254*f**3 + 7758 - 7758. -254*f**3 Collect the terms in -458 + 192 + 200 + 2*h + 66. 2*h Collect the terms in -33*z - 18*z - 17*z + 67*z. -z Collect the terms in 4*p - 3923 - 3927 + 2*p + 7850. 6*p Collect the terms in 6101 - 6101 - 578*l**2. -578*l**2 Collect the terms in 11*q**2 + 224*q + 105*q - 46*q. 11*q**2 + 283*q Collect the terms in -25*r - 43*r + 26*r - 67*r. -109*r Collect the terms in 25 - 401*x**2 + 32 - 57. -401*x**2 Collect the terms in -306 + 306 + 73404*o**2. 73404*o**2 Collect the terms in 1137*x - 5518*x - 4842*x. -9223*x Collect the terms in 25 - g - 14 - 8. -g + 3 Collect the terms in -49 + 49 - 205*d**2 + 190*d**2 + 2*d**3. 2*d**3 - 15*d**2 Collect the terms in 978 + 65 - 114 - 2*u**2 + 2173. -2*u**2 + 3102 Collect the terms in -492*m - 674*m + 1019*m. -147*m Collect the terms in -246*s - 85*s**3 + 117*s + 129*s. -85*s**3 Collect the terms in -287*h**2 + 6*h + 1600 - 1598 + 2*h. -287*h**2 + 8*h + 2 Collect the terms in 25109 - 4786*v**2 - 25098 + 4791*v**2. 5*v**2 + 11 Collect the terms in 41*p**3 - 61649*p + 61649*p. 41*p**3 Collect the terms in -1171*a**3 - 30003*a**2 + 1183*a**3 + 30003*a**2. 12*a**3 Collect the terms in 3153289 + 360*x**3 - 3153289. 360*x**3 Collect the terms in -790*r**3 - 9217*r**3 - 330*r**3. -10337*r**3 Collect the terms in -28*b - 13942*b**3 + 13925*b**3 + 28*b. -17*b**3 Collect the terms in 2052*g + 3410 - 3410. 2052*g Collect the terms in 8035*b**3 - 532*b**3 + 2883*b**3. 10386*b**3 Collect the terms in 2950*m**2 - 80*m**3 - 1476*m**2 - 1474*m**2. -80*m**3 Collect the terms in -2556*a - 2*a**2 + 6*a**2 - 2532*a + 5088*a. 4*a**2 Collect the terms in 78 + 72 - 406 - d + 256. -d Collect the terms in -15*u - 91*u + 205*u. 99*u Collect the terms in -5417*d**2 - 5428*d**2 + 10853*d**2. 8*d**2 Collect the terms in -8447*k**2 - 2*k - 2760*k**2 - 6612*k**2. -17819*k**2 - 2*k Collect the terms in 699*j + 683*j - 2166*j + 694*j. -90*j Collect the terms in -24*y**3 - 24*y**3 - 21*y**3 + 71*y**3. 2*y**3 Collect the terms in 79329437 - 2*g - 79329437. -2*g Collect the terms in 0 + 4*n**3 - 4 + 1 - n**3 - 2326*n. 3*n**3 - 2326*n - 3 Collect the terms in 227476*r**2 + 212325*r**2 - 177630*r**2. 262171*r**2 Collect the terms in -61*y**2 + 383381*y**3 + 63*y**2 - 383405*y**3. -24*y**3 + 2*y**2 Collect the terms in 37722*o + 37740*o - 75414*o. 48*o Collect the terms in -42161*f + 21085*f + 21091*f - f**2. -f**2 + 15*f Collect the terms in -3*g + 2*g - 13*g. -14*g Collect the terms in 69*l - 103 - 40 - 81*l. -12*l - 143 Collect the terms in -1903*n - 2 + 638*n + 633*n + 632*n + 11*n**3. 11*n**3 - 2 Collect the terms in -316*j**2 + 967*j**2 + 221*j**2 + 1398*j**2. 2270*j**2 Collect the terms in -50*d**3 + 59 - 49*d**3 - 59. -99*d**3 Collect the terms in -4 - 5 - 8 - 8 + b. b - 25 Collect the terms in 0 + 3 + 18*p**3 - 22*p**3. -4*p**3 + 3 Collect the terms in -3636 + 7272 - 3*b - 3632. -3*b + 4 Collect the terms in -47*c - 375*c**3 + 47*c. -375*c**3 Collect the terms in -1613 + 809 + 804 - 14*a**3. -14*a**3 Collect the terms in 201760*y + 4*y**3 - 201777*y - 4*y**3 + y**3. y**3 - 17*y Collect the terms in 5711 - 9*a**2 - 9*a**2 - 5711. -18*a**2 Collect the terms in -9 - 8 + 18 - 1054*t - 3242*t. -4296*t + 1 Collect the terms in 522*n + 492*n - 968*n. 46*n Collect the terms in -153*a + 38*a + 51*a + 37*a + 39*a. 12*a Collect the terms in -18 - 12 - 18 + 62 - 16 - 7*c. -7*c - 2 Collect the terms in 1900*l**2 - 13*l - 1793*l**2 + 13*l. 107*l**2 Collect the terms in -8*p**2 + 1212*p**3 - 176*p**3 + 8*p**2. 1036*p**3 Collect the terms in 11 - 11 - 20369880*s**2 + 20369886*s**2. 6*s**2 Collect the terms in -1721*r**3 - 2*r - 640*r**3 + 2*r. -2361*r**3 Collect the terms in -3 - 5009*y**3 + 2508*y**3 + 2499*y**3 + 1 + 2. -2*y**3 Collect the terms in -2734 - 7*k + 37*k + 2734. 30*k Collect the terms in 17*p**2 + 17*p**2 + 13*p**2 + 18*p**2 - 72*p**2. -7*p**2 Collect the terms in -6*o + 19*o - 44*o - 29*o - 9*o. -69*o Collect the terms in 12*m**3 - 5*m**2 - 162*m + 5*m**2 - 3*m**3. 9*m**3 - 162*m Collect the terms in -3 - 3*n**3 + 6*n**3 - 436*n**2 + 0*n**3 - 5*n**3. -2*n**3 - 436*n**2 - 3 Collect the terms in 16522 - 57*j**3 - 16522. -57*j**3 Collect the terms in -323*p**2 + 10 + p - 2*p - p + 2*p. -323*p**2 + 10 Collect the terms in -1497*i + 1494*i - 4 + 5. -3*i + 1 Collect the terms in l**3 - 4665*l**2 - 16773*l + 4665*l**2 + 16773*l. l**3 Collect the terms in -1505 + 95*z - 1501 + 3006 - 120*z. -25*z Collect the terms in 1413*h + 1409*h + 1411*h + 1414*h - 5643*h. 4*h Collect the terms in 183*r**2 + 16*r**2 + 0*r + r - 10*r. 199*r**2 - 9*r Collect the terms in -9*n - 31*n + 3*n + 24 - 24. -37*n Collect the terms in -7 + 143 - 18 - 5*f**2. -5*f**2 + 118 Collect the terms in -4899 + 9803 - 4901 - r**2. -r**2 + 3 Collect the terms in 54*q**3 + 544*q**2 - 18*q**3 - 277*q**2 + 4 - 267*q**2. 36*q**3 + 4 Collect the terms in 16*a + 2209 - 556 - 547 - 555 - 551. 16*a Collect the terms in -15*j - 20 + 5 + 235*j. 220*j - 15 Collect the terms in -5*o + 5*o - 32*o**2 - 4*o**2. -36*o**2 Collect the terms in 1 - 3*m**3 - 1 + 5*m**3 - 3 + 15*m**3 + 1. 17*m**3 - 2 Collect the terms in 2 - 74576*j**2 + 37285*j**2 + 37294*j**2 - 2. 3*j**2 Collect the terms in -58*b**2 + 177*b + 54*b**2 - 187*b. -4*b**2 - 10*b Collect the terms in 1313*r - 2632*r + 1300*r. -19*r Collect the terms in 1926*o**3 - 493*o**3 - 453*o**3 - 489*o**3 - 492*o**3. -o**3 Collect the terms in 24*d**2 + 21292*d**3 - 24*d**2. 21292*d**3 Collect the terms in 8 + 18 + 6*b**2 - 3 + 9 + b**3. b**3 + 6*b**2 + 32 Collect the terms in -b + 5*b + b + 9 + 10 - 23. 5*b - 4 Collect the terms in 121*p - 8200996 + 8200996. 121*p Collect the terms in -143*h + 21*h - 452*h. -574*h Collect the terms in 6 + c + 12 - 1 - 10*c + 1. -9*c + 18 Collect the terms in -4293*i**2 - 8185*i**2 - 5718*i**2 + 4842*i**2. -13354*i**2 Collect the terms in 943 + 946 + 781*l**2 - 1889. 781*l**2 Collect the terms in 21163*v - 42326*v + 21172*v. 9*v Collect the terms in -10054 - c**2 - 9825 + 19879. -c**2 Collect the terms in -8*b - 1430 - 1511 - 3*b + 2941. -11*b Collect the terms in -7*h**2 - 9*h**3 + 17*h**2 + 7*h**3 - 10*h**2. -2*h**3 Collect the terms in 8*u**2 - 7*u - 7*u**2 + 2*u + 12*u**2 + 0*u**2. 13*u**2 - 5*u Collect the terms in 3 - 698*g**3 - 11588*g**3 - 5. -12286*g**3 - 2 Collect the terms in 0*g**2 + 2*g**2 + 21*g**3 - 18*g**3 - 2*g**2. 3*g**3 Collect the terms in 221*j - 32*j - 190*j. -j Collect the terms in 24 + 108*y + 22*y + 1985. 130*y + 2009 Collect the terms i
{ "pile_set_name": "DM Mathematics" }
.31 - -0.31. Let r = v + 5. Which is the nearest to 1? (a) r (b) 2 (c) 4 b Let s = -1.2 + 1.13. Let i = s + -0.03. Let d = i - 4.9. Which is the nearest to 1? (a) 3/7 (b) -3 (c) d a Let j = 396 - 398. What is the closest to -4/13 in j, 0.5, -0.5? -0.5 Let d be 1 - (39/12 + -2). Let r = 437 + -439. What is the nearest to -1 in r, d, 1/3? d Let d = 23.82 - -0.18. Let q = d + -27. Let p = 7 + -7.1. Which is the closest to p? (a) -5 (b) -2 (c) q b Let s be -12 + 12 - 2/4*2. Which is the closest to s? (a) 2/21 (b) 1 (c) 0.26 (d) -4 a Let f = 3 - 2. Let k be 6/3 + f*-7. Let o = 849 + -843. Which is the closest to 0.2? (a) k (b) 2 (c) o b Let f = -294 + 293. Let i = -235/2 + 1653/14. What is the closest to f in -0.11, i, 5? -0.11 Let g = -159/5 + -2/5. Let y = -32 - g. Which is the nearest to 2/5? (a) 3 (b) y (c) 0.4 c Let f = 20.66 + -20.36. Which is the closest to 1? (a) 0.079 (b) 5 (c) f c Let s = -0.342 - -0.242. Let r = 3 + -2. What is the nearest to s in -5, r, -3? r Let g = -53/6 - -49/6. Let k = 477 - 478. What is the nearest to k in g, -1, -0.1? -1 Let o be (6/(-45))/((-16)/(-40)). What is the nearest to o in 2/9, -2, -14? 2/9 Let v = -270 - -270.2. Let w(g) = -g**3 - 7*g**2 + 18*g - 4. Let i be w(-9). Which is the closest to i? (a) -5 (b) v (c) 1 a Suppose -23 + 28 = 5*d. Let z = 0.4 + -0.1. Let y = -0.4 + 0.3. What is the closest to y in 3, d, z? z Let j = -62.3 - -62.1. Let m be ((-4)/75)/(4/10). What is the closest to -8 in j, -0.1, m? j Let z = 0.026 - -57.974. Let n = 58 - z. What is the closest to n in 7, 2/15, -4? 2/15 Suppose 3*t + 16 = -95. Which is the closest to 2? (a) -2/13 (b) 3 (c) t b Let s = -94 - -657/7. What is the closest to -1 in -1, 38, s? -1 Let f = 1 - 0.6. Let x = 9590 + -9579. Which is the closest to -1/2? (a) f (b) -3/7 (c) x b Let d = -450 + 445. Which is the closest to 3? (a) 1 (b) d (c) 0.1 a Let h be 21/(-68) + 16/64. Which is the closest to h? (a) -1/2 (b) 0.3 (c) 0.5 (d) 2 b Let o = -15 + 11. Let u = 12 - 9. Let q be 36/(-8) + u/6. Which is the closest to q? (a) o (b) -2 (c) 0.4 a Let n be 0 + (-11 - -6) + (-58)/(-12). What is the closest to n in 0.2, 14, -1? 0.2 Let m be (-32)/(-20) - (2 + 0). Let i = -2961 - -2958. Which is the nearest to m? (a) -5 (b) i (c) 5/6 c Let o = 251 + -501/2. Which is the nearest to o? (a) 1/2 (b) -1/3 (c) 0 a Let n(z) = z**2 + 7*z + 1. Let r be n(-7). Suppose r = 4*k + 5. Let l = k - -2. Which is the closest to -2/7? (a) -0.5 (b) l (c) 2 a Let j = 0.057 - 70.057. Let p = j + 70. What is the nearest to -2/7 in p, 0.3, -2/21? -2/21 Let s be 1 - (-1 + 0)/(-1). Let x = 2 + s. Let i = -44.6 + 44.9. What is the nearest to x in -1/2, i, 3/2? 3/2 Let u = 0.05 - 10.05. Let x = u + 9.9. Let l = -1.2 + 0.7. Which is the closest to 2? (a) x (b) l (c) 5 a Let x = -0.0826 - -58.3826. Let m = x + -58. What is the nearest to 0.1 in -4, m, -2? m Let v = 74 - -12.5. Let n = v - 87. Let g = 2 + 0. Which is the nearest to -2? (a) g (b) n (c) -1/6 b Let o = -4.3 - -4.4. Which is the nearest to -8/3? (a) -0.4 (b) o (c) -2 c Let k be 1*(-1)/((-3)/(-2))*18. Let p be 1/(-2) + 2 + 30/k. What is the closest to -1/6 in -0.4, -3, p? -0.4 Let v = -7.61 + 0.41. Let y = 10.3 + v. Let w = 0.1 - y. Which is the closest to 1? (a) -5 (b) 0.2 (c) w b Let d = -5 + 69/14. What is the nearest to d in -2, 0, 1/4? 0 Let o = 3 + -2.97. Let w = 20.73 + -20.5. Let h = o - w. Which is the closest to -0.1? (a) 1/3 (b) -4 (c) h c Let z = 52.101 + -0.101. Let s = 60 - z. What is the closest to -2/9 in -1/9, 3, s? -1/9 Let k = 0.074 - 0.074. Let i = 5 + -4. What is the closest to i in k, 0.5, 3? 0.5 Let m = -46 + 28. Let r = -18.8 - m. Let s = -1.1 - r. What is the closest to 1/9 in s, 4, -0.1? -0.1 Let m = -0.3 - -0.11. Let w = -0.11 + m. Which is the nearest to 1? (a) 1/6 (b) -5 (c) w a Let i be 10/105 + (-2432)/4368. What is the nearest to -0.1 in i, 0.72, -2? i Let t(o) = o**2 - 3*o - 12. Let n be t(6). Let g be ((-2)/n)/((-4)/3). Which is the nearest to 2/7? (a) 3 (b) g (c) -0.1 b Let j be ((-788)/5)/(-4) + (-4)/10. Suppose 2*l - j = -43. Which is the nearest to l? (a) -12 (b) -1/2 (c) -0.1 b Let s = -0.2 - 0. Let w be ((-4)/(-27))/((-10)/(-15)). What is the closest to -2/5 in w, s, -4? s Let i be (0 + -1)/(4/12). Let n = 87.9 + -92.9. Let k = 3 + 0. What is the nearest to 1 in n, i, k? k Let z = 0.21 - 0.33. Let q = -0.13 + z. Let m = 3.25 + q. Which is the closest to 0.1? (a) 5 (b) 2 (c) m b Let i = -21 - -19. Let g be ((-116)/29)/(5/2*2). Which is the nearest to -2? (a) i (b) 1/2 (c) g a Let h be (-2)/2*(1 - -1). Let j be h/8 + 26/40. Let k = 2340 - 2342. Which is the closest to -1? (a) j (b) k (c) 1 b Suppose -4*x + 16 = 4*p, -5*x - 3*p + 5*p = 15. Which is the closest to -2/3? (a) 2/11 (b) x (c) -5 b Let i = 50 - 103. Which is the closest to -0.2? (a) 0.4 (b) -1/5 (c) -0.1 (d) i b Let o be ((3 + -6)/21)/((-288)/252). What is the nearest to -2 in -8, -5, 3, o? o Let u = 0.78 - -22.62. Let q = u + -23. Which is the closest to -1? (a) 2 (b) q (c) 0 c Let q = 100.1 + -97.1. Which is the nearest to -0.11? (a) -2 (b) 1/11 (c) q (d) -5 b Let f = -827/2 + 2485/6. Let w be ((-1)/6)/((-4)/6). What is the nearest to -3 in -2, w, f? -2 Let n = -41 - -124/3. Let f = -0.99 + 1. Let i = 0.41 - f. What is the nearest to n in -0.1, i, 1/9? i Suppose 5*d - 6*b - 15 = -b, -4*d + 2*b + 18 = 0. Suppose -2*y - d = 2*g, 0*y = -4*y + 5*g + 6. Let q = 0.967 + 0.033. What is the nearest to q in y, 4, 0.4? 0.4 Let r(t) = t + 7. Let y be r(-7). Let s = -0.453 + 0.043. Let o = s - -3.41. Which is the closest to -1? (a) o (b) 1/6 (c) y c Suppose -255*g + 258*g = 3. What is the closest to -3 in 0, -4/7, g, 3? -4/7 Let w be -2 + (40/4)/(2/4). Let s be 8/2*(5 + (-89)/w). Which is the closest to 1? (a) s (b) -2/3 (c) -5 a Let m be (10/4)/(-1)*-2. Let i be 1 - (10/m - 2). Which is the closest to -1? (a) -5 (b) 1.2 (c) i c Let u = -15 + 15. Let o = 0.005 - -0.995. Which is the closest to u? (a) o (b) 5 (c) 7 a Suppose -5*m = -2*m. Suppose 3*n + m = a + 8, 3*a = -4*n - 11. What is the closest to 4 in n, -1, 4? 4 Let d = -31.1 - -26.1. Which is the nearest to 0.1? (a) d (b) -3/4 (c) 2 b Let r = -619/3 - -208. Let m = 0.14 - 0.34. Which is the nearest to 4? (a) r (b) 0.5 (c) m a Let j = -83 - -78. Let l be (1 - 15/9) + -2 + 3. What is the closest to 1 in j, 1/2, l? 1/2 Let z = 5.6 + -5.8. What is the closest to z in 3, -1, -2? -1 Let f = 0.085 - -0.215. What is the nearest to -0.2 in 4, 1.3, f? f Let g be (-32)/112 - 38/(-35). Let y = 2186 - 17465/8. Let k = -21/8 + y. Which is the closest to k? (a) g (b) -5 (c) 4 a Let s = -189 - -1129/6. What is the closest to 0 in -4, 1/3, s? 1/3 Let z = -471.399 + 471. Let l = 0.001 - z. Let o be ((-4)/6)/(4/6). Which is the closest to o? (a) 5 (b) l (c) 2/7 c Let u = -2663 + 2658. Let n = -1.3 - -0.3. Let k = -29/30 - -3/10. Which is the nearest to n? (a) 0.3 (b) u (c) k c Let y = 814/7 - 116. Which is the closest to y? (a) 2 (b) 2.1 (c) -0.3 c Let w(f) = 21*f**2 + f + 20. Let r(h) = 5*h**2 + 5. Let y(b) = 9*r(b) - 2*w(b). Let a be y(-3). Let j = a - 151/4. What is the closest to 0 in j, 3, -2/5? j Suppose -6*j - 17 = -11. What is the closest to 0.1 in j, -0.4, 0.1? 0.1 Let s = 496 - 7442/15. What is the closest to s in -1, -4, 3, 2? -1 Let r(d) = -d**2 + 2*d - 1. Let o be r(2). Let i = 272.7 + -273. What is the closest to i in 0.1, o, 0.2? 0.1 Suppose -17*l = -16*l + 2. Let r be l/(-4)*(-1 + -1)*5. Which is the nearest to r? (a) -4 (b) 0 (c) -1/6 a Let h = -0.371 + 0.071. What is the closest to -1 in -0.5, h, -10? -0.5 Let s = -0.913 + 0.243. Which is the closest to 0? (a) -2/11 (b) 0.1 (c) s b Let h = 37.5 + -41.5. What is the closest to 20/7 in 0.1, -2/3, h? 0.1 Let l = 1285.8 + -1286. What is the nearest to -2 in 4/7, -1/4, -2, l? -2 Let u = -0.3 + 0.4. Let g = -15 + 15.5. Which is the nearest to -30? (a) -1 (b) u (c) g a Let u = -14 + 9. Let r = -417 - -420. Let d = 58 + -178/3. Which is the nearest to u? (a) r (b) d (c) 5 b Let b be (896/(-40))/7 - (-3)/1. Let y = -32 - -31. What is the closest to y in -1, b, 0.1? -1 Let w = 133.9 - 132.9. Which is the nearest to w? (a)
{ "pile_set_name": "DM Mathematics" }
ffxf? 1/21 What is prob of picking 3 d when three letters picked without replacement from ddbddb? 1/5 Two letters picked without replacement from {a: 8, r: 5}. Give prob of picking 2 a. 14/39 Three letters picked without replacement from {v: 8, p: 3}. Give prob of picking 3 v. 56/165 Calculate prob of picking 1 d, 1 z, and 1 k when three letters picked without replacement from vzddvgkdizzkdzgdz. 5/68 Calculate prob of picking 3 l when three letters picked without replacement from {c: 5, x: 8, l: 5}. 5/408 What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 6, q: 12, r: 1}? 8/19 Calculate prob of picking 1 z, 1 j, and 1 y when three letters picked without replacement from rryjzyprzrbp. 1/55 Two letters picked without replacement from {j: 1, p: 6, u: 7, s: 3}. What is prob of picking 1 p and 1 s? 9/68 Two letters picked without replacement from nvnnnxvnnnxnnn. Give prob of picking 1 x and 1 n. 20/91 Three letters picked without replacement from qgqqqggqgg. What is prob of picking 3 q? 1/12 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from znnznnnz. 15/28 Three letters picked without replacement from xoxxrrocrx. Give prob of picking 1 o, 1 c, and 1 r. 1/20 Two letters picked without replacement from blbblbbb. Give prob of picking 2 l. 1/28 Calculate prob of picking 1 k, 1 z, and 1 v when three letters picked without replacement from zzkvvvveakzvevz. 48/455 Calculate prob of picking 1 p, 1 k, and 1 q when three letters picked without replacement from qqqkqqququqqqqppqqq. 28/969 What is prob of picking 3 e when three letters picked without replacement from {e: 5, v: 13}? 5/408 Two letters picked without replacement from {d: 2, s: 6}. Give prob of picking 2 d. 1/28 Two letters picked without replacement from yctmcctlctc. Give prob of picking 1 c and 1 m. 1/11 Calculate prob of picking 3 a and 1 w when four letters picked without replacement from {s: 1, w: 4, a: 3, m: 2}. 2/105 Two letters picked without replacement from {t: 3, h: 4, n: 2, q: 1}. What is prob of picking 1 n and 1 q? 2/45 Four letters picked without replacement from {t: 15, q: 3}. Give prob of picking 4 t. 91/204 Calculate prob of picking 4 l when four letters picked without replacement from {v: 3, l: 2, o: 7}. 0 What is prob of picking 1 e, 2 c, and 1 j when four letters picked without replacement from jzjcjezeie? 0 Two letters picked without replacement from umnlf. What is prob of picking 2 n? 0 What is prob of picking 1 p and 1 e when two letters picked without replacement from {p: 4, w: 7, o: 1, e: 8}? 16/95 Two letters picked without replacement from jbqbujoqjjjbujt. What is prob of picking 2 u? 1/105 Three letters picked without replacement from jexxxjj. Give prob of picking 3 x. 1/35 Four letters picked without replacement from {d: 6, m: 4}. What is prob of picking 1 d and 3 m? 4/35 What is prob of picking 2 j and 1 t when three letters picked without replacement from jssjjsjtjy? 1/12 What is prob of picking 1 u, 1 m, and 2 t when four letters picked without replacement from {t: 2, m: 4, u: 5}? 2/33 Calculate prob of picking 2 e when two letters picked without replacement from zoeeooe. 1/7 Three letters picked without replacement from {k: 3, t: 8}. Give prob of picking 3 k. 1/165 Two letters picked without replacement from {s: 5, l: 7, d: 7}. What is prob of picking 1 l and 1 d? 49/171 Two letters picked without replacement from bbkbbbbbbugxuixbux. Give prob of picking 1 i and 1 g. 1/153 Three letters picked without replacement from qqqqyyqqqqyyqyyy. What is prob of picking 1 q and 2 y? 27/80 Calculate prob of picking 1 m and 2 d when three letters picked without replacement from smsnsmmssmnsedmrndde. 1/76 Three letters picked without replacement from {l: 1, e: 4, j: 2, h: 2, y: 5}. Give prob of picking 1 h, 1 j, and 1 y. 5/91 Three letters picked without replacement from nmdldddmdmbdmnmdmm. What is prob of picking 2 m and 1 b? 7/272 What is prob of picking 1 c, 1 a, 1 o, and 1 z when four letters picked without replacement from {c: 1, o: 2, a: 3, h: 1, z: 3}? 3/35 Three letters picked without replacement from {p: 3, r: 1, x: 1, j: 2}. Give prob of picking 1 p, 1 r, and 1 j. 6/35 What is prob of picking 2 b when two letters picked without replacement from {u: 4, e: 8, b: 5}? 5/68 Calculate prob of picking 1 n and 2 s when three letters picked without replacement from wsnssnnnng. 1/8 Two letters picked without replacement from jzzzjvvzzzvzjzzzvzzj. What is prob of picking 1 v and 1 z? 24/95 What is prob of picking 4 b when four letters picked without replacement from ttbhtbbbbtt? 1/66 Two letters picked without replacement from {d: 1, j: 1, c: 3, w: 2, h: 5, u: 1}. What is prob of picking 1 c and 1 h? 5/26 Calculate prob of picking 3 b and 1 e when four letters picked without replacement from {e: 2, b: 5}. 4/7 Two letters picked without replacement from hhhhhhhhhhhhthhhhh. Give prob of picking 1 h and 1 t. 1/9 Calculate prob of picking 2 b when two letters picked without replacement from bhjduqjb. 1/28 Three letters picked without replacement from {k: 6, q: 4, c: 4}. What is prob of picking 3 c? 1/91 What is prob of picking 2 j when two letters picked without replacement from vjyvvajjayyay? 1/26 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from hfmnoho. 2/21 What is prob of picking 2 t and 1 h when three letters picked without replacement from hhxthtstxxmxhmxhtxt? 50/969 What is prob of picking 1 m, 2 r, and 1 b when four letters picked without replacement from {r: 2, m: 2, b: 2}? 4/15 Two letters picked without replacement from qpqapaqp. What is prob of picking 1 q and 1 p? 9/28 Two letters picked without replacement from {f: 6, w: 3, e: 2, v: 2}. What is prob of picking 2 f? 5/26 Calculate prob of picking 1 v, 1 h, 1 c, and 1 z when four letters picked without replacement from mzvhcmcvk. 2/63 Three letters picked without replacement from iekeiekueieue. What is prob of picking 2 e and 1 u? 15/143 What is prob of picking 4 c when four letters picked without replacement from {w: 2, c: 8, n: 1, f: 2}? 14/143 Three letters picked without replacement from {c: 1, g: 1, s: 1, r: 1, n: 1}. Give prob of picking 1 g, 1 s, and 1 n. 1/10 Two letters picked without replacement from {c: 2, o: 3, w: 1, k: 1}. What is prob of picking 2 c? 1/21 Calculate prob of picking 1 i, 1 e, and 1 w when three letters picked without replacement from {w: 1, z: 1, e: 2, i: 2, r: 1}. 4/35 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from errlrrrrkrrkrllhrlr. 4/171 Two letters picked without replacement from ivdabiddd. What is prob of picking 1 d and 1 b? 1/9 Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {s: 1, x: 5, t: 5, y: 2, g: 6}. 2/323 What is prob of picking 1 b and 2 j when three letters picked without replacement from {o: 1, j: 6, b: 5, u: 4}? 15/112 Three letters picked without replacement from {j: 1, a: 3, t: 1, k: 1, o: 1}. Give prob of picking 1 j, 1 o, and 1 a. 3/35 Two letters picked without replacement from vvnvnceezvvv. What is prob of picking 1 n and 1 e? 2/33 What is prob of picking 2 k and 2 j when four letters picked without replacement from kkkkkjkjkjjjjjjkkkkj? 132/323 Four letters picked without replacement from xwwwffwxffff. Give prob of picking 2 f and 2 x. 1/33 Three letters picked without replacement from grograragrrxaugga. Give prob of picking 2 u and 1 x. 0 Calculate prob of picking 2 w and 1 n when three letters picked without replacement from nwlw. 1/4 What is prob of picking 1 z, 1 g, and 1 o when three letters picked without replacement from {g: 1, z: 1, i: 1, o: 3, w: 1}? 3/35 Two letters picked without replacement from {w: 13, f: 5}. What is prob of picking 1 f and 1 w? 65/153 Three letters picked without replacement from {p: 2, g: 3, d: 10}. What is prob of picking 1 p and 2 d? 18/91 Four letters picked without replacement from {w: 4, n: 5, m: 3}. Give prob of picking 4 w. 1/495 What is prob of picking 3 t when three letters picked without replacement from ffbfftbhtjtfjjjjjhf? 1/969 Four letters picked without replacement from iziissswmzi. Give prob of picking 1 s, 2 z, and 1 w. 1/
{ "pile_set_name": "DM Mathematics" }
me factors of a? 2, 3, 7 What are the prime factors of (36/(-10))/((-216)/1127340)? 3, 6263 Suppose 4*l = -4*b + 2*l + 2, 2*b - 16 = 4*l. Suppose -b*t + 10 = 0, 5*w - 218 = 2*w + 2*t. List the prime factors of w. 2, 19 Suppose -4*o = -749 + 197. Let s be -6 + 280/49 + (-2860)/(-14). Let f = s - o. List the prime factors of f. 2, 3, 11 Let q(u) = 2*u**2 + 5*u - 9. Let i be 528/14 - (-16)/56. Let z = i + -34. List the prime factors of q(z). 43 Let o = -285 - -290. Suppose 13*g - 11*g - 662 = -4*s, 1644 = o*g - s. List the prime factors of g. 7, 47 Suppose 4*g + c = 6664, -5*g + c + 8309 = -3*c. Suppose 0 = -4*d - 2*t + 2656, -2*d + 4*t + g - 317 = 0. List the prime factors of d. 2, 3, 37 Let g be (-3)/(-2)*((-175)/(-15) - 9). Let l be (-1*(-2 - -2))/1. Suppose -3*c + r + 78 = l, 0 = -4*c + 2*r + 106 - g. What are the prime factors of c? 3 Suppose 51 + 159 = 30*n. Suppose 0 = 12*h - n*h - 1170. List the prime factors of h. 2, 3, 13 Let x(o) = 665*o + 6113. What are the prime factors of x(55)? 2, 23, 29 Let p be 4 + (-2 + 2)/3. Suppose 0 = p*k + k - 75. What are the prime factors of (-10)/k + (-320)/(-12)? 2, 13 Suppose -120*j = -255130 - 141110 - 143640. What are the prime factors of j? 11, 409 Let h be ((-8)/12 - -1) + (-779)/(-3). List the prime factors of (594/8 + 1)*h/65. 7, 43 Let f(x) = -170*x - 9. Let l be f(-4). Let y = 1235 - l. List the prime factors of y. 2, 3, 47 Suppose a = -2*t - 4*a + 30, 5*t + 3*a - 37 = 0. What are the prime factors of 0 + t - 500/(-1)? 5, 101 Suppose -7*w = -2*w + 20, 1107 = -u - w. Let o = -637 - u. What are the prime factors of o? 2, 233 List the prime factors of (-1 - 2) + (-195590)/(-42) + (-44)/(-462). 2, 13, 179 Suppose 31*k - 182877 + 75229 = 221665. List the prime factors of k. 3, 3541 Suppose -3*o = -2*o. Suppose 5*f - h + 5*h + 1 = o, 2*f + 6 = -3*h. Suppose w = -f*w + 304. List the prime factors of w. 2, 19 Suppose -27 + 13 = 14*x. List the prime factors of (-31 - 1083)*((-2)/x - 3). 2, 557 Let f be (5/(-3))/(1/(-3)). Suppose -2*y + f*d - 148 = 10, 5*d = 20. Let u = y - -179. List the prime factors of u. 2, 5, 11 Let m = 2340 - 1521. Suppose -2*b - 180 = -5*n - m, -5*n = 2*b - 649. What are the prime factors of b? 2, 7, 23 Let o = -367 - -393. Suppose -o*f = 6*f - 15392. What are the prime factors of f? 13, 37 Let g(b) be the first derivative of -2*b**2 + b**3 + 5*b - 5*b**2 + b**2 - 14 + 2*b**2. List the prime factors of g(7). 2, 3 Suppose 55*i = -21*i + 1028812. What are the prime factors of i? 13537 Let k be 2/8*-4*(-9)/(-1). What are the prime factors of (((-36)/(-8))/k)/((-1)/168)? 2, 3, 7 Let h = 18258 + -12341. What are the prime factors of h? 61, 97 Suppose -2*h + 16152 = -3*c, -4*h - 5*c + 32298 = -10*c. List the prime factors of h. 3, 2689 Suppose 0 = 11*f - 0 - 55. Suppose 3541 = 4*p - f*q, 18*p = 22*p + 4*q - 3568. List the prime factors of p. 7, 127 Let r(k) = -k**2 - 18*k + 65. Let n be r(-21). Suppose -n*h = 2*h - b - 2713, -h + 4*b = -697. What are the prime factors of h? 677 Suppose -4*g + 9*q - 7*q + 1032 = 0, -3*q = 12. Suppose l - g = -3*p, -4*l + 168 = 4*p - 176. List the prime factors of p. 5, 17 Suppose -20613 = 5*q - k - 55944, -14135 = -2*q + 3*k. List the prime factors of q. 2, 3533 Let t be 8*2/12*3. Suppose -t*l = -5*o + 54, -2*o + 17 - 1 = 4*l. Let d(q) = 2*q**2 - q + 14. What are the prime factors of d(o)? 2, 3, 17 Suppose 2*v - 7*v = -2*a + 19, -4*a + 2 = 2*v. Let z(h) = -53*h**3 - 4*h**2 + 2*h - 3. Let l be z(3). List the prime factors of 1/(l/(-2896) - a/4). 181 List the prime factors of ((-2520)/18)/(6/(-375)). 2, 5, 7 Let m(r) = 352*r**3 - 4*r**2 - 18*r + 94. Let t be m(5). Suppose -16*x = -48*x + t. List the prime factors of x. 2, 7 Let a = 118 + -114. Suppose -a*h = 424 - 1408. What are the prime factors of h? 2, 3, 41 Let s = -1816 - -1818. Let c(p) be the second derivative of 21*p**3/2 - 4*p**2 - p. What are the prime factors of c(s)? 2, 59 List the prime factors of (-4)/(-18) + (-278623)/(-36) - (-10)/8. 7741 Suppose 6*x - 1 - 233 = 0. Let k = 209 - x. Suppose k + 690 = 5*y. What are the prime factors of y? 2, 43 Let y(j) = -j - 1. Let m be y(-17). Suppose -m*q + 2739 + 12157 = 0. What are the prime factors of q? 7, 19 Suppose 2*u - 2418 + 258 = 4*r, -3*u = 5*r - 3218. Suppose 0 = 9*j - 2254 - u. What are the prime factors of j? 2, 5, 37 List the prime factors of -15 - (-20 - -11) - -48354. 2, 3, 17, 79 Let i = -4043 - -2867. Let u = i - -1679. What are the prime factors of u? 503 Let w(l) = 81*l**2 - 2*l + 52. List the prime factors of w(-11). 5, 79 Suppose -4*l + 78*b + 79924 = 79*b, 2*b = -3*l + 59938. List the prime factors of l. 2, 97, 103 Let v(x) = -7*x + 9. Let l be v(-7). Let n(j) = 98*j**3 - 2*j**2 - 3*j + 3. Let m be n(1). Let z = m - l. List the prime factors of z. 2, 19 List the prime factors of 3 + (58/(-6))/(173758/(-19305) + 9). 2, 3, 2393 Let r be (-4)/(-6) + 12/(-108)*6. Suppose -5*c + 20 = r, -11*n = -8*n - 2*c - 985. What are the prime factors of n? 331 Let s = 236 - 233. Suppose s*i - 4*b - 476 = 0, 5*b - 6*b = -4. What are the prime factors of i? 2, 41 Suppose -12 = d - 8. Suppose v - 5*f = 24, -2*v + 0*v + 5*f = -38. List the prime factors of (-8)/(-112)*d - (-2538)/v. 181 Let f(s) = -s**3 + 89*s**2 - 91*s + 209. What are the prime factors of f(72)? 5, 11, 1487 What are the prime factors of (14 - (-16 + 116))*-223? 2, 43, 223 Suppose -4*q + 16032 = -4*a, 252*q = 255*q + 5*a - 12032. What are the prime factors of q? 19, 211 Let y(q) = 22*q + 138. Let u be y(-6). Let j(h) = 2*h**3 + 31*h - 165. What are the prime factors of j(u)? 3, 151 Let z(c) = 8*c - 56. Let w be z(6). What are the prime factors of (-2268)/(-7) + w/(-2) + 0? 2, 41 Let o(r) = -62*r**3 - 4*r**2 - 38*r - 74. List the prime factors of o(-3). 2, 839 Let r be (-11764)/(-10) + (-2)/5. Let l(z) = 13*z + 566. Let f be l(-5). Suppose r = 9*u + f. What are the prime factors of u? 3, 5 Suppose 3*g - 15815 = 757. List the prime factors of g. 2, 1381 List the prime factors of -201*75*(4 - (-2 - -7)). 3, 5, 67 Let k(h) = 4*h**2 + 3*h + 22. Let t = 44 + -48. Let l = t + -1. List the prime factors of k(l). 107 Suppose 3*q = 4*v + 17637 + 9619, -q + v + 9087 = 0. List the prime factors of q. 2, 2273 Let l be 0 + 2 - (0 - (1 - 1)). Suppose -r + 8 = 3*t + r, -4*t - 8 = -l*r. Suppose 0 = 2*q + 5*y - 182, 2*q - 4*y - 218 = -t*q. List the prime factors of q. 101 Let p(w) = -w**3 - 25*w**2 + 8*w + 270. What are the prime factors of p(-30)? 2, 3, 5, 151 Suppose 2298102 = 65*c - 1104215 + 1103462. List the prime factors of c. 3, 11789 Let z = -35 - -42. Let n(r) = 168*r + 14. Let j be n(z). What are the prime factors of 6/(-4)*j/(-21)? 5, 17 Suppose -2*a - 13*a + 2*a + 130234 = 0. What are the prime factors of a? 2, 5009 Let l(x) = 25*x**2 + 6*x + 91. List the prime factors of l(-20). 13, 59 Suppose 109*o - 2032458 = -30*o. List the prime factors of o. 2, 3, 2437 What are the prime factors of (-447 - -1456)/((-1 + 48/47)*1)? 47, 1009 Suppose -5*o + 19 = 2*c + 13, 3*c = 9. What are the prime factors of 679 - (7 + -2) - o? 2, 337 Let h(s) = s**3 + 10*s**2 + 9*s + 4. Suppose -5*v = -v + 36. Let a be h(v). Suppose w = -2*k + 83 + 276, -a*w - 930 = -5*k. What are the prime factors of k? 2, 7, 13 List the prime factors of (-98)/70 + (-119922)/(-55). 2179 Suppose -8 = 4*f - 8*f. Suppose -2*u = u - 2*x + 7, f*x - 8 = 2*u. What are the prime factors of 6 + (-2 - u) - -49? 2, 13 Let g(p) = 2*p**2 + 25*p + 279. Let f be g(-16). List the prime factors of 30/15 - (2 - f/1). 17, 23 Let y(o) = 3*o - 2. Let c be y(0). Let z = c + 0. List the prime factors of z/(20/(-15))*56. 2, 3, 7 Suppose -4*j - 110*i + 30886 = -112*i, -5*j + 38603 = -4*i. List the prime factors of j. 7723 Suppose k + 5*v - 3*v - 19 = 0, 4*v = -4*k + 60. Let u be (-2 + 1)/(k/451). Let f = -34 - u. List the prime factors of f. 7 Let v = -60881 - -109688. List the prime factors of v. 3, 11, 17, 29 Let w(z) = 3*z**2 - z - 7. Let l(n) = -8*n**2 + 3*n + 21. Let k(s) = -2*l(s) - 7*w(s). Let h be k(4). Let r = 23 - h. List the prime factors of r. 2, 23 Suppose -7872 = -5*h + 3078. Suppose 0 = 31*o - 16*o - h. What are the prime factors of o? 2, 73 Let m be -66 + 5*2/10. Let q = -77 - m. What are the prime factors of (-18)/(-24) - (-3)/q*-617? 5,
{ "pile_set_name": "DM Mathematics" }
What is the units digit of s? 2 Let n be (3 - -3)*((-25)/(-10) - 2). Suppose -5*k + 5*g + 1755 = 4*g, n*k - 4*g - 1070 = 0. What is the tens digit of k? 5 Suppose -191*p + 203*p - 6031 = 32513. What is the tens digit of p? 1 Let k = -277 + 296. Let c(x) = 2*x**2 - 5*x + 57. What is the hundreds digit of c(k)? 6 Let s = -24307 + 44322. What is the hundreds digit of s? 0 Suppose -c = 4*t - 506, c - 511 = 4*t - 3*t. What is the tens digit of ((-4)/6)/((-4)/c)? 8 Let y(v) = -v**2 + 17*v - 16. Let w be (24/(-20))/(15/(-200)). Let s be y(w). Suppose s = -0*c - 4*c + 4. What is the units digit of c? 1 Let l(z) = -1300*z + 2324. What is the tens digit of l(-38)? 2 Let h = 127 - 31. Let a be 536/6 - (0 + 1)*1/3. Let b = h - a. What is the units digit of b? 7 Let y be ((-7400)/(-15))/5 + (-4)/6. Let u = -166 - y. Let x = u + 418. What is the units digit of x? 4 Suppose k - 5*h - 17 = 0, 36 = -3*k - 3*h - 3. What is the tens digit of (-1 - k)/(-14)*-254? 2 Suppose -38*w = -43*w + 1935. Let h = 4 + w. What is the tens digit of h? 9 What is the tens digit of (((-27547)/39)/13)/(2/(-834))? 5 What is the tens digit of (1 - -1)*1/(38/196517)? 4 Let r(a) be the third derivative of -145*a**4/24 + 13*a**3/2 - 4*a**2 - 1. What is the tens digit of r(-5)? 6 Let a(i) = 13*i**3 + 2*i**2 + i. Let l be a(-1). What is the hundreds digit of 0 + 6/l*2*-985? 9 Suppose -678*h + 271216 = -667*h. What is the ten thousands digit of h? 2 Let c = 123642 - 44615. What is the hundreds digit of c? 0 Let v(b) = 324*b**3 + 9*b**2 + 11*b + 5. Let z(d) = -108*d**3 - 3*d**2 - 4*d - 2. Let r(k) = -3*v(k) - 8*z(k). What is the units digit of r(-2)? 5 Let t = -23 - -27. Suppose 1919 = 5*v + 3*o - 144, -5*v = -t*o - 2056. Let y = v - 182. What is the units digit of y? 0 Suppose -7*m + 10*m + 1041 = 0. Let v = 524 + m. Suppose -7*f + v + 390 = 0. What is the tens digit of f? 8 Let u(m) = -m**2 + m. Let y(k) be the third derivative of k**5/2 - 11*k**4/24 + 7*k**3/6 - 32*k**2. Let j(c) = 6*u(c) + y(c). What is the units digit of j(2)? 3 Suppose 4*y = -3*h + 26406, y - 2*h = -6*h + 6582. What is the thousands digit of y? 6 Let g be ((-21)/63)/(2/(-30288)) + 6. Suppose 4*m = -2*i + 3100, -5*m - 1179 + g = 2*i. What is the units digit of m? 5 Let y be (-1 + 10)/(4/(12/(-3))). Let l(z) = z**3 + 19*z**2 + 55. What is the tens digit of l(y)? 6 Let w(k) = 538*k**2 + 174*k + 352. What is the units digit of w(-2)? 6 Suppose -14*a - 34605 = 34*a - 749229. What is the units digit of a? 8 What is the hundreds digit of (-2644660)/(-135) + 88/(-216) + (-4)/(-12)? 5 What is the hundreds digit of 51628 + -24 + 30 + 19? 6 Let a be (1/3)/((-3)/801). Let y(h) = 9*h + 9. Let r be y(-12). Let x = a - r. What is the tens digit of x? 1 Let j(q) = -4*q + 532. What is the tens digit of j(-103)? 4 What is the thousands digit of (56/(-4) - -3937)*1? 3 Let u = -49 + 55. Suppose 3*n + 1479 = 3*o, u*n - 5*n = 5*o - 2477. What is the tens digit of o? 9 Suppose -61*w - 21*w + 492738 = 0. What is the tens digit of w? 0 Suppose 0 = -3*w - 3*j - 6, -5*w - 4*j + 3*j - 22 = 0. Let x be w/(-5)*1*(-922)/(-2). Suppose 3*h = 241 + x. What is the tens digit of h? 3 Let a(b) = 21*b + 99. Let r(m) = 4*m + 20. Let i(w) = w**3 - 8*w**2 + 11. Let l be i(8). Let x(o) = l*r(o) - 2*a(o). What is the units digit of x(20)? 2 What is the tens digit of 63/210 + (-85387)/(-10)? 3 Suppose 5 = 4*y - 3*y. Suppose 4*n = 4*s + 10 + 2, -y*s - 3 = -n. Suppose -3*b = -8*b + j + 820, s = 3*b - 2*j - 492. What is the tens digit of b? 6 Let q(t) = 15*t - 38. Suppose 2*f = 4*g + 32, 4*f - 56 = -3*g - 3. Suppose 17*b - 21 = f*b. What is the tens digit of q(b)? 6 Suppose 0 = 5*a + 2*g - 404, 0*a + 331 = 4*a - g. What is the tens digit of a/1 - ((1 - 1) + 2)? 8 Let g be 6/(-9)*3 - 74. Let j = 173 + g. What is the tens digit of j? 9 Let b(i) = -11 + 24 + 48*i + 19. Let c be b(7). Let j = c - 226. What is the units digit of j? 2 Suppose -658 - 161 = -7*q. Let n = 13 - q. Let z = -11 - n. What is the tens digit of z? 9 Suppose 0 = -2*i - 5*q + 72899, -7*i + 2*q + 182320 = -2*i. What is the tens digit of i? 6 Suppose -21*b = -3812 - 17268 - 147655. What is the thousands digit of b? 8 Suppose 0 = -4*i + 4*u + 28, 0 = -5*i + 3*i + 3*u + 16. Suppose 3*z - 180 = 5*f, -i*z - f = 3*f - 337. What is the units digit of z? 5 What is the units digit of 304384/38 - -9*52/(-4446)? 0 Let i(f) be the first derivative of 22*f**3/3 - 15*f**2/2 - 29*f + 60. What is the units digit of i(-5)? 6 Suppose -30*p = 31 - 151. Let y(g) = 19*g**3 + 6*g**2 - 9*g + 6. What is the thousands digit of y(p)? 1 Let u = 162 + -160. Suppose 933 = -u*j + 2899. What is the hundreds digit of j? 9 Let x = -172 + 221. Let m(t) = t**2 - 4*t + 3. Let p be m(4). Suppose 2*o - 5 = -p*o, -4*h - 5*o = -x. What is the units digit of h? 1 Let t(w) be the first derivative of 4*w**3 + 5*w**2/2 + 11*w - 150. What is the tens digit of t(8)? 1 Suppose v = -2*p + 46 + 119, 0 = 5*p + 25. What is the hundreds digit of (v - -1) + -1 + 1? 1 Let y = -25826 - -47868. What is the thousands digit of y? 2 What is the units digit of (-9)/243 - (-4967315)/459? 2 Suppose 123*o - 114204 = 119*o. Suppose 0 = 18*q - o + 3405. What is the hundreds digit of q? 3 Let y = 146047 - 80157. What is the tens digit of y? 9 Suppose -2*d = -30*n + 28*n - 2114, 1049 = d - 3*n. What is the units digit of d? 1 Suppose -239*j + 234*j + 56285 = 0. What is the ten thousands digit of j? 1 Suppose -18*w + 30 = -13*w. Let i = w + -3. What is the tens digit of 8/i*(-957)/(-44)? 5 Let f(i) = -4*i**3 - 10 - 4 - 7*i + 3*i - 5*i. Let d be f(-6). Suppose -9*g = -122 - d. What is the units digit of g? 4 Let v = 7656 + 1184. What is the thousands digit of v? 8 Suppose g = -4*v - 1, 5*g + 2*v = -0*g + 13. Let s(w) = -g*w**3 + 7*w - 10*w - 8 + 0*w**2 - 2*w**2 + 0*w**2. What is the tens digit of s(-4)? 6 Let g(a) = 92*a - 24. Let t be g(-6). Let x be (-3)/(6 + -3)*t. Suppose 455 = 4*n + 5*w, 6*n - n = w + x. What is the units digit of n? 5 Let j(u) = -u**3 + 11*u**2 + 16*u - 43. Suppose -10*x = -86 - 14. What is the hundreds digit of j(x)? 2 Suppose 0 = -s - 5*x - 14, -5*s - 39 = -x + 5. What is the hundreds digit of 3*15/s - -262? 2 Suppose -69*q + 83*q - 39368 = 0. What is the hundreds digit of q? 8 Let o(q) = -2*q**2 - 52*q - 48. Let n be o(-25). Suppose -4*d - 6*x + 536 = -n*x, d + 4*x = 137. What is the units digit of d? 3 Let d(w) = 9*w**2 + 2*w + 1. Let g be d(-3). Suppose c + g = -f, 0 = -4*f - c - 101 - 212. Let n = 148 + f. What is the tens digit of n? 6 Let n(g) = -g**2 + 13*g - 4. Let y be n(11). Let q(p) = p**2 - 17*p - 7. Let s be q(y). Let a(x) = 5*x + 1. What is the tens digit of a(s)? 5 What is the thousands digit of (-23170)/(-4) + 1/2? 5 Suppose -32*r + 20 = -28*r. What is the units digit of (6 + (-21 - 4)/r)*40? 0 What is the units digit of (-2574)/(-468) + (-283)/(-2)? 7 Suppose -o - 4*u - 6 = 0, 5*o = 4*o + 2*u + 6. Suppose -988 = -o*v + 5*q - 282, -4*q - 359 = -v. What is the tens digit of v? 4 Let a(h) = 35*h**2 + 36*h + 10. Let p = 385 - 379. What is the hundreds digit of a(p)? 4 What is the units digit of -2 + (-12)/(-7) + 250002/(-532)*-24? 8 Let b(u) be the third derivative of u**6/120 - u**5/6 + 5*u**4/12 - 11*u**3/6 - 34*u**2. Let z be b(9). What is the units digit of (-35)/z + (-4)/8? 7 Let z = 40355 - 9562. What is the units digit of z? 3 Let i(u) = 2*u**2 - 8*u - 21. Let m be (-4)/6 + 96/36 - -72. Let f be (m/(-3))/(-2) + (-1)/3. What is the tens digit of i(f)? 7 Let k = -3522 + 4299. What is the units digit of k? 7 What is the units digit of -5 - ((-2)/(-5))/(1/(-31675))? 5 Suppose -2*s + 8 - 2 = 0. Suppose s*m + 15 = 12. What is the units digit of 0 + 11 - (-3 + m + 4)? 1 Let k = -28793 - -87008. What is the ten thousands digit of k? 5 Suppose 5*f = -20, -2*m - 4*f + 16 = -m. Suppose m*v = 28*v + 488. Suppose -t + 0*t = -v. What is the hundreds digit of t? 1 Suppose 6081 - 114241 = -4*w. Suppose 33*q - w = q. What is the hundreds digit of q? 8 Suppose -56388 - 30732 = 8*m. What is the tens digit of (m/270)/((-1)/36)? 5 Let f = 2098 - 242. What is the tens digit of f? 5 Let m(h) = -3*h**2 - 9*h + 15. Let f(d) = -d**2 + d - 1. Let v(s) = 4*f(s) - m(s). Let l be v(11). Suppose 6*k = l*k + 105. What is the units digit of k? 5 L
{ "pile_set_name": "DM Mathematics" }
= 0, -4*n - 93 = -4*z - 81 for z. -5 Solve -3*b = 3*x - 45, 6019*b - 6020*b + 5 = -x for b. 10 Solve 0 = -5*a + w + 8, 129*w + 2 = -2*a + 132*w for a. 2 Solve 18 = 3*w - 3*v, 113*w - 111*w - v = 16 for w. 10 Solve 33 = -10*i + l, 16*i - 19*i - l - 6 = 0 for i. -3 Solve -5*j - 11 = 3*i, 6*i = -j - 10 + 24 for i. 3 Solve -w - 13 = -2*a, -1796*a + w = -1797*a - 1 for a. 4 Solve 5*q - 3*v + 49 = 0, -12*v + 16 = -2*q - 9*v for q. -11 Solve k + 9*o - 29*o + 1 = -19*o, 0 = o - 3 for k. 2 Solve -12*h - 4*r = -17*h + 15, -3*h - 23 = 4*r for h. -1 Solve -39 = -5*a - 4*v, -v + 3 = 1309*a - 1310*a for a. 3 Solve -11920*n + 11922*n - 3*h - 26 = 0, -4*n - 3*h + 52 = 0 for n. 13 Solve 4*r - 26 = 2*b, 52 = 799*b - 803*b - 23*r for b. -13 Solve -6*m - 5*z = 289 - 319, -m + z - 6 = 0 for m. 0 Solve 4*f + 5*o = 65, -19*o + 54*o = 4*f + 135 for f. 10 Solve 76*k - 77*k - m - 4*m = -9, 47*k - 2*m - 186 = 0 for k. 4 Solve 19 = 3*s + m, 3*m - 9562 + 9582 = 2*s for s. 7 Solve -f + 22 = -5*x + 16, -4*x + 16*f + 56 = 0 for x. -2 Solve -f = -y + 5, 115*f - 114*f + 5*y + 23 = 0 for f. -8 Solve -l = 11*t - 7*t, 15 = -3*l + 3*t for l. -4 Solve 18 = -367*b + 365*b - 5*g, g - 58 = 4*b for b. -14 Solve 3*r - 50*x = -47*x + 24, -2*x = -3*r + 5*r - 8 for r. 6 Solve 0 = 5*z + 3*y + 20, -118*y = z - 119*y + 4 for z. -4 Solve -5*h - 4*f + 37 = 0, -1986*h + 1985*h = -2*f + 1 for h. 5 Solve 3*l = -2*w - 28, -4*w - 3298 = -3278 for l. -6 Solve 4*u - 2215*l + 2212*l + 15 = 0, -2*u - 2*l = 18 for u. -6 Solve -44*w = 4*l - 42*w + 18, 5*l + 2*w + 20 = 0 for l. -2 Solve -4*h - 12*q + 8 = 0, -5*h + 35 - 25 = q for h. 2 Solve 9 = 21*h - 22*h + 8*s, 18 = -2*h - s for h. -9 Solve -2*j - 22 = 40*d - 44*d, 0 = -3*j + 3*d - 27 for j. -7 Solve -23 = -27*x + 29*x + 11*c, -5*x + c + 28 = 0 for x. 5 Solve -145*j + 32 = -146*j - 5*o, -3*j + 0*j + 4*o = 1 for j. -7 Solve 2*h + 159 = 5*j + 186, 3*h = 5*j + 28 for j. -5 Solve -30*l + 25*l = 3*j - 1, 6 = 4*l + 5*j for l. -1 Solve -5*z - 20 = w, w + 1287 - 1303 = 4*z for z. -4 Solve -3208*g = 2*c - 3203*g - 20, 3*g - 31 = -5*c for c. 5 Solve 3*d = 2*c - 13, 57950*d - 10 = -c + 57955*d for c. 5 Solve -11*b + 22 = -19*b + 2*t, -9 = -4*b + 5*t - 32 for b. -2 Solve 5*m - 2068*k - 5 = -2066*k, 5*m = -k + 5 for m. 1 Solve 2*k - 2*y = -7*y - 6, -k + 2*y = -6 for k. 2 Solve -2*f - t + 32 = 0, 725*f - 730*f = 3*t - 79 for f. 17 Solve -334*a - 4*c - 34 = -331*a, -6 = 3*a - 3*c for a. -6 Solve -3509*n + 3512*n = -9*y - 36, -18 = 2*n + 3*y for n. -6 Solve -10*y - 37 = -4*a - 15*y, 9*y - 57 = -4*a for a. 3 Solve -2*i - 2*r = -2348 + 2360, 4*r = 5*i + 21 for i. -5 Solve 5*j + 4 - 2 = 2*b, -16 = 4*b for j. -2 Solve 3*i = -3*y, -99*i + 54*i = -3*y - 52*i + 12 for y. -3 Solve -5*u - t + 68 = 0, -7543*t + 7539*t = -u + 1 for u. 13 Solve -4*m - u = -18, -56 = -3*m + 213*u - 218*u for m. 2 Solve i = 3*f + 21, -f + 5*i - 157 = -136 for f. -6 Solve 0 = 4*r - 4*a - 12, 4*a = 5*r - 17 for r. 5 Solve -6 = -5*t - 100*z + 99*z + 14, 0 = 2*z for t. 4 Solve 4908*r + 8*m + 10 = 4907*r, -m - 11 = 5*r for r. -2 Solve 4*d - 6*k = 18, -3 = -4*d - 66*k + 69*k for d. -3 Solve -4*i + 2 = -2*c, -3*i + 1375*c = 1380*c - 21 for i. 2 Solve -131*i - 3 = h - 128*i, -4*h = i - 10 for h. 3 Solve 10*f - 23 = -q, -3*q - 54 + 67 = 2*f for f. 2 Solve 3*l = -5*x + 57, 4*x = -4*l - l + 56 for l. 4 Solve 2*y - 32*c = -27*c - 25, 0 = -4*y - 5*c + 25 for y. 0 Solve 3*x = 5*k - 56, 5*x - 62 = -5*k - 22 for k. 10 Solve -2*j - 8 = -3*s - 9, 0 = -24*s + 2*j - 22 for s. -1 Solve -5*v + 24 = 2*c, -4*c = 16*v - 948 + 876 for v. 4 Solve 2*a = -4 + 2, -2*v - 4*a + 4 = 0 for v. 4 Solve 0 = 23*m - 18*m - 12*a - 75, a = -5 for m. 3 Solve -339 = 3*u - 267, -3*f + 3*u = 4*u + 18 for f. 2 Solve -4*p + 20 = -4*u, -4*p = -2*u - 23 + 21 for p. -4 Solve 4*w = v - 1, -27*v - 9 = -25*v + 3*w for v. -3 Solve 0 = 4*n - 70 + 74, 4*o - 2 = 2*n for o. 0 Solve 0 = y - l - 10, 451*y - 4*l = 449*y + 22 for y. 9 Solve -2*i - 4 = -9*u + 31*u, 2*u + 2 = -i for u. 0 Solve -5*c - 5*b - 74 + 14 = 0, -5*b = 20 for c. -8 Solve 45989*w - 2 = -2*m + 45991*w, 3*w - 1 = 2*m for m. 4 Solve -5*f + 5 = 5*c, 531*c + 3*f + 12 = 533*c for c. 3 Solve -t - 26*i + 2 = -13*t + 10*t, -5*i + 1 = -t for t. -1 Solve 0 = -4*h - 2*g + 6, 24*h + 2721 = -2*g + 2787 for h. 3 Solve 7 = -78*r + 75*r - q, 2*r + 186 = -12*q for r. 3 Solve -4*k + 5 = p, 0 = 7*p + 11*k - 9*k + 17 for p. -3 Solve -2*j = 5*i - 65 + 33, i = -4*j + 28 for i. 4 Solve 2*d - 1187*p = -1184*p + 11, 5*d - 6*p - 26 = 0 for d. 4 Solve l = -j + 31 - 21, 5*j - 10 = 3*l for l. 5 Solve 14*s = -5*v + 4, -137*s = -141*s + 2*v + 8 for s. 1 Solve -5*i + 4 = -v, 3*v - 21*i + 2 = -16*i for v. 1 Solve 0 = 3*f + v + 7, v + 8 = -324*f + 320*f for f. -1 Solve 0 = 2*q + 4*i + 6, 2*i = -7831*q + 7829*q + 5*i + 1 for q. -1 Solve -604*m - 4*z - 22 = -607*m, 31 = -5*m - 3*z for m. -2 Solve -20 = 5*l, -22*l - 20 = 4*t - 21*l for t. -4 Solve 8 = 4*x - 2*m, -m + 161 - 159 = x for x. 2 Solve -80 = y - 12*i, 505*i + 36 = 2*y + 509*i for y. 4 Solve 20 = -5*h + 8*w, 0 = 4*w - 652 + 632 for h. 4 Solve -37 = 3*n - 5*o, 4*o - 45 = 5*n - 5 for n. -4 Solve -5*h + 97 = -6*l + 23, 4*h + 83 = -11*l for h. 4 Solve -258 + 257 = h - 4*n, -4*n + 19 = -3*h for h. -9 Solve 29*j - 34*j - 31 = 3*a, 38*a + 427 = 161 for j. -2 Solve 25*s = 50, 38*n - 41*n + 2 = 4*s - 6 for n. 0 Solve 4*q + 6 = p, 3*q + 9 = 4*p + 11 for q. -2 Solve -5*a - 4*s - 23 = 0, -701*a + 703*a - s + 4 = 0 for a. -3 Solve -248*i + 13*u = -252*i - 36, -5*i - 2*u + 12 = 0 for i. 4 Solve 5*a = -5*h - 1335 + 1350, -6*a - 3*h + 12 = 0 for a. 1 Solve -5*k - 13 = -23*u + 25*u, 5*u - k - 8 = 0 for u. 1 Solve 22 = 3*a - 2*x, -3*x = -a - 21 + 17 + 23 for a. 4 Solve 3*l = 5*k - 38, 3106*l + 26 = 3101*l + 3*k for l. -1 Solve k = -y + 503 - 504, 4*y + 8 = 0 for k. 1 Solve 4*l + 30*p = -l - 270, l + 5*p + 45 = 0 for l. 0 Solve -i + 18 = -4*q, -2*q + 44 = -784*i + 810*i for q. -4 Solve -46*q + 58 = 5*r - 49*q, 2*r - 48 = -5*q for r. 14 Solve -3*c - 64 = -2*i, -5*c - 111 = -4885*i + 4886*i for i. -1 Solve 0 = -2*d + 4*u + 26, 5*d - 23 = -2*u - 6 for d. 5 Solve -193*a + 195*a = -5*o + 35, 21*o - 115 = -2*a for o. 5 Solve 3*x - 3*c = 7*x - 18 + 39, -c - 9 = 2*x for x. -3 Solve -3*t + 4 = 5*l, 2*l + 91*t + 11 = 94*t for l. -1 Solve b - 1 = -4612*g + 4613*g, 4*b + 2*g = 10 for b. 2 Solve d - 353 = 5*f - 343, -5*d + 27 = -2*f for d. 5 Solve 3*v - q + 532 - 560 = 0, 5*q + 5 = 0 for v. 9 Solve 0*t + 4*t + 20 = 4*b, 0 = -5*b + 4*t + 22 for b. 2 Solve 3*j + 10*o - 101 = -29, -j - 3*o = -22 for j. 4 Solve -a - 7 = 3*d, -23 = -44*a + 40*a + 5*d for a. 2 Solve -21*k - 44*q + 87 = -41*q, 30 = -5*q for k. 5 Solve -3*q - 36*u + 38*u + 32 = 0, 5*q - 4*u - 56 = 0 for q. 8 Solve -94 = 4*n + z - 86, n + 2 = 5*z for n. -2 Solve 10*c + u = 42, -171*c - 6 = -173*c + u for c. 4 Solve 0 = -5*g - 20, -83*w + 11 = -84*w - 5*g - 4 for w. 5 Solve 1 = x, -6 = 2*a + 13*x - 17*x for a. -1 Solve 0 = -5*a + 3*l + 10, 76*a - 3*l = 73*a + 12 for a. -1 Solve -305*x + 3*f - 20 = -306*x, -2*x + 35 = 5*f for x. 5 Solve 3*v + 22 = 142*s - 143*s, -v = 4*s + 33 for s. -7 Solve 0 = 5*m, 0 = -160*h - 153*h + 308*h - 3*m for h. 0 Solve 2*v - 6*v - 15 = 3*k, 3*k - 6 = 3*v for v. -3 Solve -f + 279 = 3*a + 268, 17 = 3*f + a for f. 5 Solve 3*k = -2*d + 3, -3*d - 3*k + 13 - 3 = 7 for d. 0 Solve 0 = -32*k + 31*k - 1, -v + 2*k + 7 = 0 for v. 5 Solve 0 = 7*x + 5*f + 8, -f - 4 - 4 = 3*x for x. -4 Solve 2*q + 370*c - 366*c = -6, -3*c + 89 = -7*q for q. -11 Solve 3*y + 198*l - 17 = 196*l, 4*y + 5*l = 32 for y. 3 Solve -189*n + 11 = -185*n - 5*p, 0 = -5*p - 15 for n. -1 Solve 0 = z - 5*r + 23, -4*r + 22 = 514*z - 516*z for z. -3 Solve 121*u - 116*u - 10 = 0, 28*g = 4*u + 20 for g. 1 Solve -y = 5*z - 95 + 118, -27*z + 2*y = 102 for z. -4 Solve -12*p = 4*x + 48, -4*x + 12 = 116*p - 119*p for p. -4 Solve 9*t = 5*t, 2*v + 3*t - 12 = 0 for v. 6 Solve -2*l + 69*y - 70*y = 2, -4*y - 16 = 0 for l. 1 Solve 2893*z + 6 = o + 2897*z, z + 4 = -3*o for o. -2 Solve 5*h - 595 = 4*z - 660, -5 = h for z. 10 Solve -4*v - 109*b + 108*b = -16, -13*v + 52 = 5*b for v. 4 Solve 341*v + 7*k - 18 = 339*v, 0 = 4*k - 13 - 3 for v. -5 Solve 0 = -65*u + 64*u - 2*i + 7, -5 = -5*u - 5*i for u. -5 Solve 0 = -2*t - 2*j - 10, -t - 4150*j + 4153*j - 5 = 0 for t. -5 Solve 5*
{ "pile_set_name": "DM Mathematics" }
t term in -120, -139, -184, -267, -400? -595 What is the next term in -87, -186, -297, -420, -555, -702, -861? -1032 What is next in -1046, -1043, -1038, -1031, -1022, -1011, -998? -983 What is the next term in -41, -50, -61, -74, -89, -106, -125? -146 What is the next term in 131, 128, 125? 122 What comes next: -618, -1249, -1894, -2559, -3250, -3973, -4734, -5539? -6394 What comes next: -13, -171, -603, -1447, -2841, -4923, -7831? -11703 What is the next term in -166, -146, -126? -106 What comes next: 2, -127, -256, -385? -514 What comes next: 775, 776, 777? 778 What comes next: 440, 438, 446, 470, 516? 590 What is the next term in -35, -64, -93? -122 What is next in 78, 65, 38, -9, -82, -187? -330 What is next in 1126, 1141, 1156? 1171 What comes next: -3583, -3593, -3617, -3661, -3731, -3833, -3973? -4157 What is the next term in 10, 46, 158, 388, 778, 1370, 2206, 3328? 4778 What is next in 39, 61, 107, 183, 295, 449? 651 What comes next: 3252, 3261, 3270, 3279? 3288 What is next in 22, 14, 14, 28, 62, 122? 214 What is next in -89, -84, -83, -86, -93? -104 What comes next: -1944, -7793, -17542, -31191, -48740? -70189 What is next in -38, -42, -46, -50, -54, -58? -62 What comes next: 113, 115, 111, 95, 61, 3, -85? -209 What is next in 12, 18, 20, 18, 12, 2, -12? -30 What is the next term in -261, -516, -753, -966, -1149? -1296 What comes next: 221, 379, 527, 659, 769? 851 What is the next term in -715, -714, -713? -712 What is next in 7, 48, 147, 328, 615, 1032, 1603? 2352 What is next in 180, 315, 450, 585? 720 What is next in -993, -994, -995, -996? -997 What comes next: 1108, 1112, 1118, 1126, 1136? 1148 What is next in 1151, 2296, 3441, 4586, 5731? 6876 What is the next term in 156, 151, 146, 141, 136, 131? 126 What is next in -7, -30, -53, -76, -99, -122? -145 What comes next: -66, -109, -190, -315, -490? -721 What is next in 140, 118, 62, -46, -224, -490, -862, -1358? -1996 What is next in -96, -108, -134, -180, -252, -356? -498 What is the next term in -848, -853, -870, -905, -964, -1053, -1178, -1345? -1560 What is the next term in 13, -1, -39, -113, -235, -417, -671, -1009? -1443 What is next in 414, 831, 1248, 1665? 2082 What is the next term in -22, -21, -22, -25? -30 What comes next: -137, -140, -143? -146 What is next in 216, 231, 256, 297, 360, 451, 576, 741? 952 What is the next term in 60, 156, 310, 528, 816? 1180 What is the next term in -70, -49, -26, -1, 26, 55? 86 What is the next term in -102, -204, -306, -408, -510? -612 What comes next: -99709, -99717, -99739, -99781, -99849, -99949? -100087 What is the next term in -57, -89, -143, -219, -317, -437? -579 What comes next: 15, -50, -113, -174, -233, -290, -345? -398 What comes next: 91, 88, 83, 76, 67, 56, 43? 28 What comes next: 21, 89, 203, 363, 569? 821 What is the next term in -84, -163, -242, -321? -400 What is next in -7, -19, -39, -67? -103 What is next in 173, 178, 185, 194, 205, 218? 233 What is the next term in -125, -113, -97, -77? -53 What is the next term in 601, 596, 591? 586 What is next in -68, -150, -248, -368, -516, -698, -920, -1188? -1508 What comes next: 203, 411, 621, 833, 1047? 1263 What comes next: -68, -140, -212? -284 What is next in -44, -200, -446, -770, -1160? -1604 What is the next term in -11, -40, -83, -140, -211? -296 What comes next: -191, -804, -1825, -3254, -5091, -7336? -9989 What comes next: -8, -86, -296, -704, -1376, -2378? -3776 What is the next term in 8, 0, -12, -28, -48, -72? -100 What is next in 17, 47, 77, 107? 137 What is next in -480, -1953, -4408, -7845, -12264, -17665? -24048 What comes next: 726, 1450, 2176, 2904, 3634, 4366, 5100? 5836 What is the next term in -74, 24, 298, 838, 1734, 3076, 4954? 7458 What comes next: -9, 19, 65, 135, 235, 371, 549? 775 What is next in 1369, 2745, 4121, 5497? 6873 What is next in 48, 42, 34, 24, 12? -2 What is next in -1330, -1328, -1326? -1324 What comes next: 814, 1624, 2434, 3244, 4054? 4864 What is next in 6, 16, 32, 60, 106, 176, 276? 412 What is next in -135, -272, -399, -510, -599, -660? -687 What is the next term in -14, -73, -238, -563, -1102, -1909, -3038? -4543 What comes next: -5, -30, -65, -104, -141, -170? -185 What is the next term in -148, -266, -384, -502, -620, -738? -856 What comes next: 17, 92, 217, 392, 617, 892, 1217? 1592 What is next in -418, -839, -1270, -1717, -2186? -2683 What is next in 28, 36, 48, 64, 84, 108? 136 What is next in -1282, -1286, -1292, -1300? -1310 What comes next: 2427, 2426, 2425, 2424, 2423? 2422 What is next in -16339, -16342, -16347, -16354? -16363 What comes next: -27, -54, -81, -108? -135 What is next in -49, -105, -161? -217 What comes next: 415, 417, 419, 421, 423, 425? 427 What is the next term in 25, 100, 223, 394? 613 What comes next: 57, 54, 51, 48, 45? 42 What is next in -311, -310, -309, -308? -307 What is next in -1113, -2234, -3365, -4512, -5681, -6878, -8109? -9380 What comes next: 18, 28, 38, 48? 58 What is next in 43, 84, 125, 166, 207, 248? 289 What is the next term in -168, -696, -1578, -2814? -4404 What comes next: -12, -26, -66, -144, -272, -462? -726 What is next in 396, 1535, 3434, 6093? 9512 What is the next term in 180, 354, 522, 678, 816, 930? 1014 What is the next term in 7, 29, 73, 145, 251, 397, 589? 833 What comes next: -1291, -2575, -3847, -5101, -6331, -7531, -8695, -9817? -10891 What is next in -171, -183, -197, -213? -231 What is next in -3, -3, 1, 9, 21, 37, 57? 81 What comes next: 1681, 3354, 5025, 6694? 8361 What is the next term in 15, 41, 83, 141? 215 What is the next term in 173, 175, 177, 179, 181, 183? 185 What comes next: -14, -34, -90, -200, -382, -654, -1034? -1540 What is the next term in 74, 150, 226? 302 What comes next: -612, -610, -598, -570, -520, -442, -330? -178 What is next in 23, 35, 55, 83, 119, 163? 215 What is the next term in -519, -534, -565, -618, -699? -814 What is the next term in 79, 85, 91, 97? 103 What comes next: -472, -947, -1422, -1897? -2372 What comes next: -69, -62, -51, -36, -17? 6 What is the next term in -346, -296, -246, -196, -146, -96? -46 What comes next: -130, -175, -246, -355, -514, -735? -1030 What comes next: 554, 556, 558? 560 What is the next term in 163, 222, 281, 340, 399, 458? 517 What comes next: -24, -10, 18, 66, 140? 246 What is the next term in -6, -28, -64, -114? -178 What is next in 19, 89, 211, 385, 611? 889 What comes next: 463, 467, 473, 481, 491, 503? 517 What comes next: -33, -54, -63, -54, -21, 42, 141, 282? 471 What is the next term in 10, 37, 114, 265, 514? 885 What comes next: -807, -787, -753, -705, -643, -567, -477? -373 What is the next term in 13, 59, 155, 325, 593, 983, 1519, 2225? 3125 What is the next term in -192, -388, -596, -822, -1072? -1352 What comes next: 83, 163, 253, 359, 487, 643, 833, 1063? 1339 What is the next term in -51, -75, -71, -33, 45, 169, 345, 579? 877 What is next in -38, -24, 14, 88, 210, 392, 646, 984? 1418 What is the next term in -6, 0, 24, 78, 174, 324, 540, 834? 1218 What is the next term in -376, -380, -394, -424, -476? -556 What is next in 6, 4, 0, -6, -14, -24? -36 What is next in -88, -86, -84, -82, -80, -78? -76 What comes next: -5, 67, 187, 355, 571, 835? 1147 What is next in 239, 232, 223, 212, 199, 184, 167? 148 What is the next term in 306, 314, 326, 342, 362? 386 What comes next: -10, -11, -20, -43, -86, -155, -256? -395 What is the next term in -562, -572, -582, -592, -602, -612? -622 What comes next: 529, 538, 547, 556? 565 What is next in -10409, -10410, -10411? -10412 What comes next: -109, -108, -97, -70, -21, 56, 167? 318 What is next in -205, -202, -197, -190, -181, -170, -157? -142 What is next in 285, 559, 833? 1107 What is next in 90, 179, 280, 399, 542? 715 What is the next term in -4826, -4833, -4850, -4883, -4938? -5021 What is next in -3342, -3341, -3340, -3339? -3338 What comes next: -19, 11, 41? 71 What is the next term in 89, 236, 385, 536, 689, 844, 1001? 1160 What comes next: 46, 68, 42, -56, -250? -564 What is the next term in -23771, -23772, -23773? -23774 What is next in 63, 62, 61, 60, 59? 58 What is next in 15750, 15752, 15754, 15756, 15758? 15760 What is next in 58, 88, 118, 148? 178 What comes next: 24, 100, 234, 432, 700, 1044? 1470 What comes next: -6608, -6605,
{ "pile_set_name": "DM Mathematics" }
0322*a**3 Expand (-170*p - 401*p - 618*p)*(-3 + 3 + 2)*(-2 - 1 + 2 + (0 - 3 + 2)*(-2 + 6 - 2)). 7134*p Expand (3 - 3*z - 3)*(0 - 2 + 1) - 2*z - z + z + (2*z + 0*z + 0*z)*(2 + 2 - 5) - 5*z + z + 5*z + (2 - 2 + 2)*(25*z + 60*z + 20*z). 210*z Expand (91*k - 47*k - 100*k)*(2 + 6*k**2 - 6 - 7*k**2). 56*k**3 + 224*k Expand (2*r**2 - r**2 - 2*r**2)*(0*r - 7*r + 3*r + (-3*r + r + 6*r)*(1 + 0 - 3)) + (2*r - 2*r + r)*(-2*r**2 + 3*r**2 + 2*r**2) - 3*r**3 + 2*r**3 + 2*r**3. 16*r**3 Expand (-8*h + 5*h - 4*h)*(239 + 55 - 30). -1848*h Expand 2*n**3 + n**3 + 0*n**3 + (-2 - 1 + 1)*(n**3 - 4*n**3 + 4*n**3) - 11185*n**3 + 1 - 1 + 4260*n - 4260*n. -11184*n**3 Expand (0*t**2 - 4*t**2 + 0*t**2)*(-82 + 149 + 246 + 4*t). -16*t**3 - 1252*t**2 Expand (-11 + 5 - 12 + 691*n + 33)*(-3*n**3 + 2*n**3 - 2*n**3). -2073*n**4 - 45*n**3 Expand (3 + 3 - 7)*(-17 - q + 37 - 17) + (3*q - 6*q + 3 + 2*q)*(3 + 1 - 2). -q + 3 Expand 2*k - 2*k + 6*k**4 - 2*k**4 - 2*k**4 + 6*k**4 + (5*k**2 - 3*k**2 - k**2)*(-k**2 - 3*k**2 + 6*k**2). 10*k**4 Expand (4*i - 3*i + 0*i)*(-1286 + 42*i + 1286)*(7*i + 26*i + 3*i)*(0 + 0 + i**2). 1512*i**5 Expand (-34 + 12 - 4*k + 20)*(-5430*k**2 + 2657*k**2 + 2621*k**2). 608*k**3 + 304*k**2 Expand (3*b + 3*b - 4*b)*(-6 + 4 + 11) - b + 3*b - 3*b + (3 + 1 - 6)*(-5*b + 4*b - 2 + 2*b) + (-1 - 4 + 3)*(2*b + b - b) + b - 2*b + 2*b. 12*b + 4 Expand (95 - 71 - 60)*(-5*j**4 + 3*j**4 + j**4 + (-2*j + 3*j + j)*(j**3 + 2*j**3 - 4*j**3) + (0*j + 3*j - j + 2)*(j**3 + 0*j**3 - 4*j**3)). 324*j**4 + 216*j**3 Expand -1054*a**5 - 118*a**5 + 463*a**5 + (2*a**3 - 3*a**2 + 3*a**2)*(-1 + 1 + a**2) + 5*a**5 - a**5 - 3*a**5 - 3*a + 3*a + 3*a**5. -703*a**5 Expand (2 - 3 + 4)*(-2 - 2 + 2)*(-2 - 3 + 4 + (2 + 1 - 1)*(0 + 3 - 1) - 1 + 1 + 1)*(2*m**3 - 5*m**3 - 7*m**3). 240*m**3 Expand (-n**3 + 5*n**3 + 7*n**3)*(17*n**2 + 14*n**2 - 9*n**2) + (-3*n**4 + 7 - 7)*(-2 - 2*n + 4*n - 3*n). 245*n**5 + 6*n**4 Expand -2*j**5 + 340 - 340 - 57*j + (5*j**4 - 116*j**3 + 116*j**3)*(5*j - 2*j - 4*j). -7*j**5 - 57*j Expand (3*g - 3*g - g)*(-3089*g**2 + 1782*g**2 - 6863*g**2). 8170*g**3 Expand ((3*c - c - 3*c)*(c**2 - 2*c**2 - c**2) + (-c**2 + 0*c**2 + 2*c**2)*(-4*c + 5*c - 2*c))*((141 - 141 + 5*c)*(6*c - 2*c + 4*c) - 5*c + 5*c - 4*c**2). 36*c**5 Expand (-4 + 4 - 1)*(10931*z + 4103*z - 605*z + 516*z). -14945*z Expand (2*h + 2 - 2)*(1 - 2 + 0) + h + 2*h - 2*h + 18*h - 516 + 516 - 5*h + h + 0*h. 13*h Expand (-147*l**2 - 65*l**2 - 527*l**2)*(-11*l + 2*l + 19*l). -7390*l**3 Expand (-1041*c**2 + 557*c**2 + 823*c**2)*(6 - 8 + 14). 4068*c**2 Expand ((0 + 0 - 1)*(-2 + 3 + 1) - 9 + 34 + 22)*(-1 - 5*b**4 + 9*b**4 + 0). 180*b**4 - 45 Expand (2*f**2 - 3 + 3)*(5 + 1 - 5)*((-3 + 57 + 31)*(-f - 2*f + 4*f) + (f + 0*f + f)*(1 + 0 - 6)). 150*f**3 Expand (-1 + 0 + 2)*(1921 - 58*d**4 - 1921) - 10*d**2 - 10*d**4 + 10*d**2 + (-2*d + 2*d**4 + 2*d)*(-1 + 1 + 1). -66*d**4 Expand (-2*x**2 + 5*x**2 + 2*x**2)*(x**3 + 75*x - 160*x + 2 + x). 5*x**5 - 420*x**3 + 10*x**2 Expand (-43 + 43 - 28*s)*(-92 + 92 - 39*s). 1092*s**2 Expand (2 - 1 - 2)*(-4 + 3 - 1)*(-243 - 1417 + 289)*((v + v + 0*v)*(3*v + 2*v - 3*v) - v**2 + v**2 + v**2). -13710*v**2 Expand (-4*j + 2*j + j)*(-4*j**2 + 3*j**2 - 4*j**2) - 9*j + 7*j**3 + 9*j + (-7*j - 10 + 10)*(-j**2 + j**2 + 2*j**2). -2*j**3 Expand (-3*p**5 + p**5 + 5*p**5 + (2 - 3 + 0)*(35*p**5 + 15*p**5 - 18*p**5))*(0 - 2 + 5 + (-3 + 2 - 3)*(-2 + 1 + 2)). 29*p**5 Expand (-265*k + 4046 - 4046)*(4 + 0 - 2*k + k). 265*k**2 - 1060*k Expand (3 + 1 - 2)*(2319*z**2 - 4727*z**2 + 2147*z**2)*(-z**3 - 3*z**3 - 11*z**3 + (0*z**2 + 0*z**2 + 2*z**3)*(1 + 0 - 2)). 8874*z**5 Expand (659 - 314 - 239)*(-1 + 7*n + 1). 742*n Expand (-336 - 513 - 28)*(3*a + 12*a - 22*a). 6139*a Expand (-2 - 2 + 1 + (-9 - 18 + 18)*(2 + 3 - 1) + 3 - 2 + 1)*(-4*l + 54 - 54). 148*l Expand (525*j**3 + 901652*j - 901652*j)*(-1 - 1 - 5*j + 0*j). -2625*j**4 - 1050*j**3 Expand s + 0*s - 2*s + (179 - 179 + 45*s)*((1 + 2 - 2)*(1 - 1 + 1) + 0 - 3 + 1 + 0 + 4 + 0). 134*s Expand -14*v**2 - v**2 + 107*v**2 + (3 + 0 - 1)*(3*v - 2*v - 2*v)*(-2 + 9 - 1)*(-1 + 0 + 2)*(-3*v + 5*v - 4*v). 116*v**2 Expand (1 - 6 + 3)*(4*a - 6*a - 13*a)*(-1 + 3 - 1 + (5 + 2 - 2)*(5 - 1 - 3)). 180*a Expand (91*w**2 + 310*w**2 + 57*w**2)*(-6*w**2 - 8*w**2 + 2*w**2). -5496*w**4 Expand -357*x - 15855*x**5 + 188*x - 2998*x**5 + 169*x + (x**3 - x**3 + x**4)*(1 - 1 - x). -18854*x**5 Expand (-5*k**2 + 2*k**2 - 7*k**2)*(219*k**3 + 140*k**3 + 10*k**3). -3690*k**5 Expand -3*u - 2*u + 1 + 3*u - 39*u + 74*u - 119*u + (u + 0*u + 0*u)*(2 + 0 - 1). -85*u + 1 Expand (-8 + 2 + 0)*(t - 4*t + 4*t + 0*t + 2*t - 3*t + (-6 + 6 - t)*(-5 + 1 + 2)). -12*t Expand (-6127328*m + 3304*m**3 + 6127328*m)*(-2*m**2 + m**2 + 2*m**2). 3304*m**5 Expand (-3*n**3 + 5*n**3 + 0*n**3)*(-2 + 2 + 2*n + (-5*n + 6 - 6)*(-3 + 2 + 0) - n - 10*n - 10*n + (0 - 2 + 0)*(n + n - n)). -32*n**4 Expand (5*i + 2 + 0*i - 3*i)*(-2*i**2 + 0*i**2 + 0*i**2) + (-3 + 1 + 0)*(4988*i - 4988*i + 879*i**3). -1762*i**3 - 4*i**2 Expand (3*c - 3*c + c)*(-4 + 1 + 4)*(-13264*c + 13264*c + 427*c**2). 427*c**3 Expand (-3*l**2 + l**2 + 3*l**2 + (2*l - 13*l - 14*l)*(3*l - l + 0*l))*(8*l**3 - 3*l**3 + 0*l**3). -245*l**5 Expand (2*s + 9 - 9)*(4 + 0 - 2)*(-14*s**3 - 3*s**2 + 231380 - 5*s - 231380). -56*s**4 - 12*s**3 - 20*s**2 Expand -a + a - a**2 + (-73*a - 62*a - 63*a)*(a + 0 - 5 + 4). -199*a**2 + 198*a Expand (4 + 3 + 1)*(5 - 5 - 2*i)*(87*i - 290*i**2 + 89*i - 174*i). 4640*i**3 - 32*i**2 Expand (-6*u**2 + u**2 + 3*u**2)*(-u**2 + 1 - 1)*(-39 + 39 - 6*u) + 5*u**5 - u**5 - u**5 + (0 + 0 + 2*u)*(u**4 + 2 - 2). -7*u**5 Expand (5*h - 2*h + 0*h)*(-2499329*h**3 - 4 + 2498009*h**3 + 2*h**2 + 2). -3960*h**4 + 6*h**3 - 6*h Expand (-m**2 + 2*m**2 - 10484*m - 1 + 4*m**2 + 10540*m)*(1 + 2 - 7). -20*m**2 - 224*m + 4 Expand (-z**3 - z**3 + 4*z**3)*(21946 - 21946 + 14188*z**2). 28376*z**5 Expand (-2087*j + 4742*j + 2316*j)*(3 - 4 - 1)*(2*j**2 + 3*j**2 - 3*j**2 + (4 - 4 + j)*(j - 5*j + 5*j) - j**2 + j**2 + j**2 + 4*j**2 + j**2 - 3*j**2). -59652*j**3 Expand (-4 - 5*t + 2*t + 2*t)*(-502*t**3 + 502*t**3 + 99*t**4 + (t + 2 - 2)*(-3*t**2 + 3*t**2 + 2*t**3) + 6*t**4 - t**4 - 4*t**4). -102*t**5 - 408*t**4 Expand 2*i**5 - 45398*i**2 + 45398*i**2 - 626*i**3 + (3*i**2 + i**3 - 3*i**2)*(-1 + i**2 + 1). 3*i**5 - 626*i**3 Expand (336 + 1354 - 216)*(n - 4*n + 4*n). 1474*n Expand 6883*y**2 + 5686*y**2 + 4*y**2 + (2*y**2 + 3*y - 3*y)*(1 - 2 - 1) - 3*y**2 + 2*y**2 + 3*y**2. 12571*y**2 Expand -28 + u**2 + 28 - 2*u + (5*u + 17*u + 37*u)*(-3*u + 6*u - u). 119*u**2 - 2*u Expand (-3 - 1 + 0)*(-853*h**3 - 963*h**3 + 1465*h**3) + (2 - 2 - 3*h)*(-2*h**2 + h - h). 1410*h**3 Expand (-5 + 255*j + 28 - 246*j)*((-j**2 + j**2 - 2*j**3)*(2 - 1 - 4) + 4*j**2 - 4*j**2 + j**3 - 2*j**3 - 4*j + 4*j). 45*j**4 + 115*j**3 Expand 45*m**4 + 5*m**2 - 45*m**4 - 2*m**5 - 31*m + 10*m**5 + 31*m + (2 - 2 + 1)*(3*m**5 - m**5 - 4*m**5) + m**5 + 2*m**2 - 2*m**2. 7*m**5 + 5*m**2 Expand (-5*s**5 - 2*s**5 + 6*s**5)*((-3 + 1 + 0)*(-1 - 3 + 5) - 1 + 4 - 2 + 538 - 391 + 459). -605*s**5 Expand (a**4 - 3 + 3 - 2*a**2)*((-4 + 14 - 13)*(a - 4*a + a) + a - 2*a - 2*a + 4*a - 4*a - 2*a + (-a + 6*a - 3*a)*(3 - 1 - 4) - 5*a - 5*a + 11*a). -2*a**5 + 4*a**3 Expand (0 - 276*n - 275*n + 552*n + 31)*(2*n - 3 + 3). 2*n**2 + 62*n Expand (67 + 37 + 0)*(-v**2 + 3 + 21 + 26). -104*v**2 + 5200 Expand 11209*l**3 - 182*l**2 + 398*l**2 - 216*l**2 + (-l**2 - 2*l**2 + 4*l**2)*(0*l + 0*l + l) + 3*l - 3*l + 4*l**3. 11214*l**3 Expand (-3 + 5 + 16)*(0*b + b - 18*b). -306*b Expand (4*n**3 + 3*n**3 - 4*n**3)*(-448 - 1001 + 262 - 28 - 1042). -6771*n**3 Expand 125 + 24*k**2 - 125 + (-3 + 3 + 1)*(2 + 1 - 5)*(20*k - 54 + 54)*(-3*k + 2*k + 7*k). -216*k**2 Expand 46*l**5 - 44*l**5 - 247*l**5 + (2*l - 2*l - 2*l**2)*(-2*l**3 + 4*l**3 + 0*l**3). -249*l**5 Expand (-d**2 - 4*d**2 - 7*d**2 + 2*d**2)*(33 - 215*d + 106*d + 108*d). 10*d**3 - 330*d**2 Expand ((-2 - 3 + 4)*(3*y - 3*y + y) + 0 + 2*y + 0 + 1 - 1 + 2*y - 3 + 3 - 2*y - 5*y + 6*y + 7*y)*(2 + 1 - 1) + 102*y - 26089 + 26089. 120*y Expand (8519 - 8519 - 149*a**3)*(2*a - 10*a - a) - a**4 + 0*a + 0*a. 1340*a**4 Expand 730290 - 730290 - 1319*o**4 + (-o**4 + 0 + 0)*(1 + 0 + 1). -1321*o**4 Expand (-6*g - 3*g + 3*g)*(4*g - 5*g - g)*(15*g + 64*g - 26*g)*(4 - g - 4). -636*g**4 Expand (y**2 - y**2 + 10*y**3)*(7*y - 4*y - y)*(0 + 5 - 4
{ "pile_set_name": "DM Mathematics" }
tive of p(j). Find the third derivative of l(n) wrt n. 60 Let s(l) = 32*l + 37*l + 7 - 68*l. Let a(p) = 3*p + 14. Let m(h) = 6*a(h) - 11*s(h). Differentiate m(b) wrt b. 7 Let u(y) = -27*y**2 + 8*y - 388. Let c(g) = g**2 - 2*g. Let r(z) = -6*c(z) - u(z). What is the first derivative of r(j) wrt j? 42*j + 4 Suppose 0 = 2*y + 12 - 18. Suppose -3*h - 5*u + 49 = 0, -u = y*u - 20. What is the second derivative of -10*s**3 - 2*s + h*s**3 + 5*s**3 wrt s? 18*s Let v = -18 + 22. What is the second derivative of x**4 - 4 + v + x + 0*x wrt x? 12*x**2 Let v(d) be the second derivative of 11*d**7/6 + 235*d**3/3 + 207*d. What is the second derivative of v(w) wrt w? 1540*w**3 Let d(g) be the third derivative of g**7/70 + g**4/2 + 53*g**3/6 - 12*g**2 + g. Differentiate d(o) wrt o. 12*o**3 + 12 Let k(o) be the second derivative of 26*o**5/5 - 11*o**4/6 - o + 69. What is the third derivative of k(n) wrt n? 624 Let j be 2/3 + 116/6 + -1. Find the first derivative of j*l**4 - 4 + 8 - 4*l**4 + 6 wrt l. 60*l**3 Suppose -3*h + 7 = -k, 5*h - 5 - 2 = 4*k. What is the second derivative of -w**k - 11*w - w**2 + 23*w + 0*w wrt w? -4 Let z(j) be the first derivative of 66*j**7/7 - j**6/2 - 140*j**3/3 - j**2/2 + 811. Find the third derivative of z(o) wrt o. 7920*o**3 - 180*o**2 Let k(f) be the first derivative of f**6/15 + 19*f**4/24 + 15*f**2 - 12. Let y(n) be the second derivative of k(n). Find the second derivative of y(w) wrt w. 48*w Suppose 0 = x - 5*x - 72. Let p = -14 - x. Find the second derivative of 6*v - 2 + 8*v**p - 2*v**4 + 2 wrt v. 72*v**2 Let y(h) be the first derivative of -11*h**6/120 + 7*h**4/12 + 8*h**2 + 7. Let c(t) be the second derivative of y(t). Find the second derivative of c(x) wrt x. -66*x Let x(s) be the third derivative of 0*s**5 + 0*s**7 + 1/12*s**4 - 1/14*s**8 + 0*s + 17*s**2 + 0 + 0*s**6 + 0*s**3. What is the second derivative of x(k) wrt k? -480*k**3 Find the third derivative of 1 + l**2 - 188*l**4 + 39391*l - 1 - 38657*l wrt l. -4512*l Let q(l) = 13*l**2 - 3*l - 9. Let a(y) = 12*y**2 - 4*y - 9. Let z(i) = 7*a(i) - 6*q(i). Let v(m) be the first derivative of z(m). Differentiate v(c) wrt c. 12 Let o be 68/28 + 8/14. Let z(f) be the first derivative of 4 - 1/6*f**6 - 1/2*f**2 + 0*f + 0*f**4 + 0*f**5 + 0*f**o. Find the second derivative of z(n) wrt n. -20*n**3 Suppose 4*w + 41 - 13 = 0. Let h be (-1)/(2/(-1 + w)). What is the second derivative of f**4 + h*f**4 + 3*f - 2*f wrt f? 60*f**2 Suppose 4*d = -n - 3 + 5, 0 = -d. What is the derivative of -2*g**2 + 9*g**2 + 9*g**2 - n wrt g? 32*g Let s(d) = -56*d + 13. Let b(c) = -58*c + 12. Let p(y) = 6*b(y) - 5*s(y). Differentiate p(n) wrt n. -68 Let h(a) be the second derivative of -9/2*a**2 + 0 + 5/3*a**3 + 5*a. Differentiate h(o) wrt o. 10 Let u(d) = -460*d**3 + 8*d**2 - 175*d. Let w(c) = -306*c**3 + 5*c**2 - 117*c. Let p(v) = -5*u(v) + 8*w(v). Find the second derivative of p(s) wrt s. -888*s Differentiate 41*c**3 - 21*c**3 - 62 + 29*c**3 - 14 with respect to c. 147*c**2 What is the third derivative of 17*x**5 + 9*x**2 - 9*x**3 - x**2 + 7*x**3 + x**3 wrt x? 1020*x**2 - 6 Differentiate -68*v**2 - 19 + 68*v**2 - 79*v**3 + 11*v**3 wrt v. -204*v**2 Let d = 73 + -70. Let m(u) be the first derivative of -9/2*u**2 + 3*u**d + 0*u - 2. Find the second derivative of m(p) wrt p. 18 Let g(f) be the third derivative of -27*f**6/40 - 49*f**4/24 - 250*f**2. What is the second derivative of g(l) wrt l? -486*l What is the derivative of -6*t + 16*t**2 + 38*t**2 + 7*t + 25*t**2 - 6 wrt t? 158*t + 1 Let a(r) = -34*r**2 - 21*r + 5. Let k(m) = -m**2 + m + 1. Let f be 2 + (-4)/(-4)*-7. Let u(s) = f*k(s) + a(s). Find the second derivative of u(d) wrt d. -58 Let q be 50/156 + (-22)/143. Let w(s) be the third derivative of 0*s + 0 + 1/60*s**5 + 0*s**3 - 2*s**2 - q*s**4. What is the second derivative of w(z) wrt z? 2 Let s be 8 + (-4 - (2 - 2)). Find the second derivative of 6*y**4 - 3*y**4 + y - 5*y**s - 2*y**4 wrt y. -48*y**2 Let t(p) be the first derivative of 25 + 0*p - 22/3*p**3 + 0*p**4 - 8/5*p**5 + 0*p**2. Find the third derivative of t(z) wrt z. -192*z Let g be (1/2 - (-21)/(-14)) + 1. Find the first derivative of 4 + 13*f**2 + g - 17 wrt f. 26*f Let l(a) be the second derivative of 20*a**4 + 245*a**3/6 - 14*a + 4. Find the second derivative of l(b) wrt b. 480 Let h(g) be the first derivative of -g**6/90 - g**4/12 - 4*g**3/3 - 12. Let z(q) be the third derivative of h(q). What is the first derivative of z(n) wrt n? -8*n Let t = 134 - 108. What is the second derivative of t*p - 14 - 8 + 22 + 26*p**2 wrt p? 52 Let u(r) = r**3 + 8*r**2 - 2*r. Let i be u(-8). Differentiate 10 - 20 + 15*n + i with respect to n. 15 Let c(x) be the second derivative of -57*x**5/10 + 2*x**3/3 + x**2/2 + 4*x + 22. What is the second derivative of c(n) wrt n? -684*n Suppose 0*z + 2*z = 0. Suppose -2*o - 3 = 5*g, -5*o - 2*g - 2*g + 18 = z. Find the third derivative of 2*a**6 + 3*a**2 - 9*a + 3*a**o + 9*a wrt a. 600*a**3 Let q(w) = -4*w**3 + 8*w**2 - w - 2. Let v(g) = 6*g**3 - 9*g**2 + 2. Let o(c) = 5*q(c) + 4*v(c). Find the second derivative of o(m) wrt m. 24*m + 8 Let j(r) be the second derivative of 248*r**3/3 - 481*r**2/2 - 16*r + 8. Differentiate j(i) with respect to i. 496 Let c be 33/18 - (-1)/6. What is the first derivative of 9 - 2 + 4*i - c + 16*i wrt i? 20 Let o(u) be the first derivative of 170*u**6/3 + 347*u**2/2 - 17. What is the second derivative of o(k) wrt k? 6800*k**3 What is the first derivative of -35 - 32 - 110*h**3 + 76 wrt h? -330*h**2 Let l(x) be the second derivative of 7/4*x**4 + 0 + 0*x**2 + 0*x**6 + 1/28*x**8 + 0*x**3 + 26*x + 0*x**7 + 0*x**5. What is the third derivative of l(o) wrt o? 240*o**3 Suppose 8 = 3*s + t - 27, -5*t - 59 = -3*s. Suppose 3*r = g + 1, -4*g + s = -7. What is the derivative of 0 + 9*j**2 - 3*j**r - 2 + 1 wrt j? 12*j Let y(u) be the second derivative of 0*u**5 + 0*u**6 + 0*u**7 + 1/6*u**4 + 0*u**3 + 0*u**2 + 0 + 10*u - 1/14*u**8. Find the third derivative of y(i) wrt i. -480*i**3 Let x(r) be the third derivative of 0 + 0*r**4 + 0*r - 17*r**2 + 0*r**3 - 23/120*r**6 - 1/10*r**5. What is the third derivative of x(m) wrt m? -138 What is the second derivative of -26 + 74*i**2 + 295*i + 7 + 3 + 16 wrt i? 148 Let z(m) be the second derivative of 2*m**7/21 + 17*m**5/20 - m**3/6 + 47*m**2/2 + 10*m. What is the second derivative of z(f) wrt f? 80*f**3 + 102*f Let w(s) = 188*s + 146. Let r(j) = -566*j - 439. Let u(o) = 3*r(o) + 8*w(o). Differentiate u(m) with respect to m. -194 Let a(v) be the second derivative of v**7/840 - v**5/15 + v**4/4 - 9*v. Let f(u) be the third derivative of a(u). Differentiate f(n) wrt n. 6*n Let v be (1 - -12 - 1)/(2/8). Find the first derivative of 25*i - 39 + 14 + v wrt i. 25 Let p(j) be the second derivative of -272*j**6/15 - j**5/10 - j**4/3 + 31*j**2 + j - 136. Find the third derivative of p(g) wrt g. -13056*g - 12 Let t(a) be the third derivative of 25*a**5/12 - 15*a**4/8 - 93*a**2. What is the second derivative of t(h) wrt h? 250 Suppose -4*p - 4 = -3*a, -3*a = -2*p - 0*p - 8. Find the third derivative of 16*m**2 - 15*m**2 - 10*m**a - 8*m**4 wrt m. -432*m Let x(v) be the first derivative of -319*v**6/3 - 187*v**3 + 422. Find the third derivative of x(w) wrt w. -38280*w**2 Suppose -38 = -2*i - 8. Suppose 0 = -15*p + 10*p + i. What is the second derivative of -8*w**3 - w - 6*w**3 + 9*w**p wrt w? -30*w Let q(m) be the second derivative of 11*m**4/12 + m**3/3 + 22*m**2 - 13*m. What is the derivative of q(w) wrt w? 22*w + 2 Let w(o) = -52*o**4 - 2*o**3 - o - 42. Let d(b) = 26*b**4 + b**3 + 21. Let y(f) = 5*d(f) + 2*w(f). Find the second derivative of y(i) wrt i. 312*i**2 + 6*i Let b be 357/49 + 4/(-14). Suppose -b - 3 = 3*s - 4*r, -8 = -2*r. Find the second derivative of -v**s - 2*v - v - v wrt v. -2 Let j = -7 - -11. Let v = j + -2. Find the second derivative of -4 + 4 + 0 - v*k + 4*k**5 wrt k. 80*k**3 Let z(j) be the third derivative of 11*j**7/42 - j**4/24 + 10*j**3/3 + 4*j**2 - 3. What is the second derivative of z(u) wrt u? 660*u**2 Let a(z) be the second derivative of 17/30*z**6 + 0*z**2 + 3*z**4 + 0*z**3 + 0*z**5 + 0 - 22*z. What is the third derivative of a(l) wrt l? 408*l Differentiate 5 - 10*z - 9*z**4 + 33*z**4 + 8 - 17 wrt z. 96*z**3 - 10 Let q(u) = -2 + 3 - 6*u
{ "pile_set_name": "DM Mathematics" }
allest common multiple of m(y) and 4. 84 Suppose 5*h = 2*c - 15, 3*c = 4*c + 2*h - 12. Let k = -1 + 13. What is the least common multiple of c and k? 60 Let b(z) = -z - 1. Let l be b(-16). Calculate the common denominator of (-38)/(-180) + 6/l and -32/27. 54 Let q = 3 - -39. Calculate the smallest common multiple of q and 42. 42 Suppose k + 2*q - 12 = 0, -2*k = -4*q - q + 12. Let b(g) = 2*g**2 + 9*g + 9. Let u be b(-5). What is the least common multiple of (3/(-1) - -5) + 0 + u and k? 16 Suppose 0 = 37*i - 35*i - 140. What is the least common multiple of i and 30? 210 Let b = 468/61949711 - -4229852837329/1519626410830. Let c = b + -12/1115. Calculate the common denominator of 1 - -1 - 89/12 and c. 132 Let j be 1/490*20142/4. Let z = -310/49 + j. Find the common denominator of 1/(-9)*(-123)/(-2) and z. 60 Let t be (-4)/2 + 5 - 323. Let p be 3 + t/108 + 0. Let u = p + -89/216. What is the common denominator of u and 149/18? 72 Let s(r) = r**3 + 16*r**2 + 66*r + 31. Calculate the least common multiple of s(-9) and 12. 12 Let b be ((-44)/(-10))/(28/35). Let w = -29/6 + b. What is the common denominator of 4/9 and w? 9 Let n = 98 + -96. Let w = 50 + 3. Let r = w - 35. Calculate the lowest common multiple of n and r. 18 Let a = 113/7 + -167/42. Let x = -1432032 + 14296803/10. Let j = -2346 - x. What is the common denominator of j and a? 30 Let l = -2 - -5. Let h = -14 - -18. Find the common denominator of l and (-398)/20 + h/10. 2 Let n(g) = 7*g + 23. Let y(m) = 14*m + 47. Let o(r) = 5*n(r) - 3*y(r). Calculate the lowest common multiple of o(-8) and 51. 510 Suppose 5*u + 37 = -3. What is the common denominator of (-2)/u*(-84)/9 and 53/8? 24 Let x be 290/(-35) + -3 + (-23)/(-7). Let h(z) be the second derivative of -z**3/6 - 3*z**2/2 - z. Calculate the least common multiple of 2 and h(x). 10 Suppose -5*r = -4*f - 2*r + 60, 2*r = 3*f - 46. What is the smallest common multiple of (14 - 17)*-1*3 and f? 18 What is the common denominator of 9/14 and ((-63)/(-5))/(-21) + 139/420? 420 Suppose -3*y + 26 = -y. Find the common denominator of (-106)/(-84) - 152/1064 and (y/15)/(4/(-18)). 210 Let m be ((-103673)/76)/(-11 + -344). Let t = -10/1349 - m. Calculate the common denominator of 137/12 and t. 60 Let b be (-9242574)/(-5418) + 4/6. Let a = b + -11952/7. What is the common denominator of a and 13/3? 129 Let t = -27 - -25. Let v be (t - 7) + 0/5. What is the common denominator of -23/8 and v/3 - 246/(-20)? 40 Let n = 19/4 + -8. Find the common denominator of n and 107/1156. 1156 Find the common denominator of 149/30 and ((-183)/18)/(165/15). 330 Let a(y) = y**3 - 24*y**2 - 20*y + 5. What is the lowest common multiple of a(25) and 104? 520 Let s = -212936909/20 - -10637122. Let w = -9719 - s. Calculate the common denominator of (-125)/(-44) - (-1)/(-4) and w. 220 Let g be 5595/2925*(-3)/(-2). Let k = g + -36/13. What is the common denominator of k and 93/2? 10 Let k = -12 - -20. Suppose 10*q + k = 14*q. Calculate the smallest common multiple of (-41)/(-2) + 2/(-4) and q. 20 Let b = 141 - 61. What is the least common multiple of 50 and b? 400 Let p(w) = w**2 + 15*w + 48. Let l(s) = s**2 + 6*s + 3. Calculate the lowest common multiple of p(-12) and l(-6). 12 Suppose -20 = 5*o - k, -13*o + 8*o = -2*k + 20. Let l = -1923/136 + 91/8. Find the common denominator of (-85)/(-6)*49/140*o and l. 102 Suppose -3*l + 137 = -91. Suppose -l*u + 78*u - 42 = 0. What is the lowest common multiple of 30 and u? 210 Let i(a) = -3*a**2 + 40*a - 11. Calculate the least common multiple of i(5) and 60. 1140 Let z(c) = c**2 + 4*c + 3. Let h be z(5). Let i be (-36702)/(-756) - (-3)/18. Let l = i - h. Calculate the common denominator of -53/9 and l. 63 Suppose 3*m - 21 = 5*a - 55, 40 = 5*a - 5*m. Let v(t) = 6*t + 4 - a*t + 7. Calculate the least common multiple of 4 and v(-7). 4 Let n(h) = -2*h**3 + h**2 + 10*h + 18. Let c(x) = x**2 + 2*x + 4. What is the least common multiple of n(-2) and c(-4)? 36 Suppose -2*z + 24 = 5*s, -5*s = -2*s - 2*z - 24. Calculate the smallest common multiple of 2 and s. 6 Suppose -2*f = -3*f - l - 18, l - 62 = 3*f. Let z be ((-496)/f)/(1/10). What is the common denominator of -87/10 and (-9)/4*z/48? 40 Let g = -4788/11 - -138859/319. Let o = -18323/6380 + g. Calculate the common denominator of o and 133/18. 180 Let c = 73331 - 14666291/200. What is the common denominator of 151/90 and c? 1800 Let o = 344213/27 - 12751. Calculate the common denominator of 74/21 and o. 189 Let z = -51 + 15. Let g = 71 + z. Suppose 4*y = g + 29. Calculate the smallest common multiple of y and 2. 16 Let b(i) = 2*i + 44. Calculate the least common multiple of b(-12) and ((-27)/6 - -4)*-48. 120 Suppose -10 = 5*q + 20. Find the common denominator of (-34)/148 + q/(-12)*-2 and 33/14. 518 Suppose o + 5*t + 22 = 0, -7*t + 2*t = 10. What is the least common multiple of 36/(-7)*14*6/o and 8? 72 Let d(b) = -2*b + 14. Suppose -h + 3*r + 9 = 0, -r + 4 + 25 = 5*h. Calculate the least common multiple of 14 and d(h). 14 Let l(k) = -k - 7. Let w be l(-6). Suppose 6*s = 7*s - 5. Let f = s - w. What is the lowest common multiple of f and 16? 48 Let q = -932 + 1052. What is the least common multiple of q and 132? 1320 Let s = -1044 + 549. Find the common denominator of 131/75 - 14/21 and (-10)/4*(-44)/s. 225 Suppose a + 6 = -3. Find the common denominator of (-2)/(-8) - (-1375)/(-180) and (-11)/66 - 37/a. 18 Find the common denominator of 81/278 and -2 - (84/32 - -3). 1112 Let u be (-9)/(-21) + 988/14. Suppose -5*h = 3*n - 2*n + 5, u = -5*n - 2*h. Calculate the lowest common multiple of 16 and (-2)/(1*3/n). 80 What is the least common multiple of 44 and 3/(-6)*(-67 - (8 - 3))? 396 Let g = -227515662880764247/262430 - -866957523454. Let y = -2/18745 + g. What is the common denominator of -97/2 and y? 14 Suppose 18 = -5*u + 83. Let x(n) = n - 6. Suppose 4*p - p - 27 = 0. What is the least common multiple of x(u) and p? 63 Let q = 505/108 + -448/27. What is the common denominator of -5/21 and q? 84 Let j be (-4 + (-14)/(-4))*-28. Calculate the common denominator of (2 + (-10)/j)/(-2) and -117/50. 350 Let s(y) = y**2 - 13*y - 29. Let h be s(16). Suppose -5*z - h = -34. Let l(m) = 9*m**3 + m**2 - 2*m + 1. What is the smallest common multiple of l(1) and z? 9 Let j = -80 - -64. Let d = j - -70. Calculate the smallest common multiple of d and 22. 594 Suppose 3*a + 6*a - 1035 = 0. Let s = a - 105. What is the smallest common multiple of 20 and s? 20 Let h(v) = -16*v + 213. What is the least common multiple of 130 and h(6)? 1170 Let z = -10 - -16. Find the common denominator of (-4 + 38)*(-2 + 38/24) and z/4*34/33. 66 Let m(k) = k**2 + 14*k + 3. Let p be m(-14). Suppose 3*x + l - 21 = 0, -l = -2*l - p. Calculate the lowest common multiple of x and 4. 8 Let h = 6 + -2. Let o = -23 - -33. Let y = o - 4. Calculate the smallest common multiple of h and y. 12 What is the least common multiple of -14*(96/(-7))/4 and 13? 624 Let o = 305/6468 - 1/588. Calculate the common denominator of 23/16 and o. 176 Let y be -1 + 5 - (-58 + 22). Find the common denominator of (-22)/(-55) - (-186)/y and 97/16. 80 Let b be 0 + 1 + -4 - (-16 - -1). Let f(a) = 2*a - 2. What is the smallest common multiple of f(b) and 22? 22 Suppose -152 = 2*k - 4*m, 0 = 2*k - m + 156 - 13. Let v = k - -40. Let t = v - -41. What is the smallest common multiple of 9 and t? 99 Let a be 5 - 4 - -2 - 1. Suppose 0 = u + h - 15, 3*u + a*h + 31 = 79. Calculate the lowest common multiple of u and 27. 54 Suppose 2*d = -2*j + 970, -d - 1044 = -5*j + 1351. Calculate the least common multiple of j and 3. 480 Let a = -2240 - -4769. Calculate the lowest common multiple of a and 3. 2529 Let w = 39 - 6. Let x(r) = 2*r**2 - 168*r + 1249. What is the smallest common multiple of w and x(8)? 33 Let r = -8 - -20. Let h = 25 + -97/2. Find the common denominator of ((-2)/r)/(22/354) and h. 22 Let c be 28/(-154) - (-3494330)/264. Let z = c - 13248. What is the common denominator of -50 and z? 12 Suppose 4*r = 339 + 37. What is the common denominator of r/4 - 2/(-8) and 156/(-40) + (7 - 7)? 20 Let g = -1765349/54 + 32693. Find the common denominator of g and 127/54. 54 Let d = -50 + 10. Let q = d - -56. Calculate the lowest common multiple of q and 18. 144 Suppose -5
{ "pile_set_name": "DM Mathematics" }
the prime factors of 3459? 3, 1153 What are the prime factors of 23196? 2, 3, 1933 What are the prime factors of 4340? 2, 5, 7, 31 What are the prime factors of 9256? 2, 13, 89 List the prime factors of 167. 167 List the prime factors of 5517. 3, 613 What are the prime factors of 2747? 41, 67 What are the prime factors of 5344? 2, 167 What are the prime factors of 1000? 2, 5 What are the prime factors of 28779? 3, 53, 181 What are the prime factors of 1319? 1319 What are the prime factors of 32332? 2, 59, 137 List the prime factors of 9340. 2, 5, 467 List the prime factors of 152. 2, 19 What are the prime factors of 15107? 15107 List the prime factors of 23377. 97, 241 List the prime factors of 14694. 2, 3, 31, 79 List the prime factors of 64257. 3, 21419 What are the prime factors of 3260? 2, 5, 163 List the prime factors of 474. 2, 3, 79 List the prime factors of 11769. 3, 3923 List the prime factors of 5462. 2, 2731 What are the prime factors of 95082? 2, 3, 13, 23, 53 What are the prime factors of 4881? 3, 1627 What are the prime factors of 27798? 2, 3, 41, 113 List the prime factors of 25026. 2, 3, 43, 97 List the prime factors of 1583. 1583 List the prime factors of 4952. 2, 619 List the prime factors of 45916. 2, 13, 883 What are the prime factors of 7482? 2, 3, 29, 43 What are the prime factors of 3275? 5, 131 What are the prime factors of 15792? 2, 3, 7, 47 What are the prime factors of 55866? 2, 3, 9311 What are the prime factors of 7085? 5, 13, 109 What are the prime factors of 9501? 3, 3167 What are the prime factors of 2273? 2273 What are the prime factors of 34835? 5, 6967 List the prime factors of 2272. 2, 71 List the prime factors of 2071. 19, 109 List the prime factors of 1904. 2, 7, 17 List the prime factors of 2469. 3, 823 List the prime factors of 18479. 17, 1087 List the prime factors of 1048. 2, 131 List the prime factors of 17329. 13, 31, 43 What are the prime factors of 130000? 2, 5, 13 What are the prime factors of 52? 2, 13 What are the prime factors of 77577? 3, 19, 1361 List the prime factors of 17674. 2, 8837 List the prime factors of 44668. 2, 13, 859 What are the prime factors of 62010? 2, 3, 5, 13, 53 What are the prime factors of 1645? 5, 7, 47 What are the prime factors of 351? 3, 13 List the prime factors of 13787. 17, 811 What are the prime factors of 1116? 2, 3, 31 What are the prime factors of 667? 23, 29 List the prime factors of 76410. 2, 3, 5, 283 What are the prime factors of 123? 3, 41 What are the prime factors of 3326? 2, 1663 List the prime factors of 325. 5, 13 List the prime factors of 2496. 2, 3, 13 What are the prime factors of 1847? 1847 What are the prime factors of 19016? 2, 2377 List the prime factors of 65415. 3, 5, 7, 89 What are the prime factors of 8331? 3, 2777 What are the prime factors of 10688? 2, 167 List the prime factors of 14372. 2, 3593 What are the prime factors of 3781? 19, 199 List the prime factors of 29431. 19, 1549 What are the prime factors of 6779? 6779 List the prime factors of 40548. 2, 3, 31, 109 What are the prime factors of 458? 2, 229 List the prime factors of 1571. 1571 What are the prime factors of 789? 3, 263 List the prime factors of 3878. 2, 7, 277 List the prime factors of 848. 2, 53 List the prime factors of 38443. 37, 1039 List the prime factors of 824. 2, 103 What are the prime factors of 15? 3, 5 What are the prime factors of 15026? 2, 11, 683 List the prime factors of 8663. 8663 What are the prime factors of 2106? 2, 3, 13 List the prime factors of 1571. 1571 List the prime factors of 6595. 5, 1319 List the prime factors of 1005. 3, 5, 67 List the prime factors of 60131. 157, 383 What are the prime factors of 10278? 2, 3, 571 List the prime factors of 32050. 2, 5, 641 What are the prime factors of 52448? 2, 11, 149 List the prime factors of 3608. 2, 11, 41 List the prime factors of 385. 5, 7, 11 List the prime factors of 19576. 2, 2447 What are the prime factors of 151? 151 What are the prime factors of 49111? 67, 733 List the prime factors of 1271. 31, 41 What are the prime factors of 3328? 2, 13 List the prime factors of 4221. 3, 7, 67 List the prime factors of 89. 89 What are the prime factors of 24192? 2, 3, 7 List the prime factors of 299. 13, 23 What are the prime factors of 88? 2, 11 List the prime factors of 19395. 3, 5, 431 List the prime factors of 54245. 5, 19, 571 What are the prime factors of 2646? 2, 3, 7 What are the prime factors of 945? 3, 5, 7 List the prime factors of 5230. 2, 5, 523 What are the prime factors of 11830? 2, 5, 7, 13 List the prime factors of 10. 2, 5 What are the prime factors of 218? 2, 109 What are the prime factors of 179802? 2, 3, 7, 1427 What are the prime factors of 1643? 31, 53 What are the prime factors of 97? 97 What are the prime factors of 1622? 2, 811 List the prime factors of 81423. 3, 83, 109 List the prime factors of 464. 2, 29 List the prime factors of 34331. 11, 3121 List the prime factors of 904. 2, 113 List the prime factors of 21213. 3, 2357 What are the prime factors of 6551? 6551 What are the prime factors of 74268? 2, 3, 2063 List the prime factors of 10784. 2, 337 What are the prime factors of 4744? 2, 593 List the prime factors of 4029. 3, 17, 79 What are the prime factors of 417? 3, 139 What are the prime factors of 281? 281 List the prime factors of 14020. 2, 5, 701 List the prime factors of 7310. 2, 5, 17, 43 List the prime factors of 4408. 2, 19, 29 What are the prime factors of 4378? 2, 11, 199 List the prime factors of 8954. 2, 11, 37 List the prime factors of 1205. 5, 241 List the prime factors of 2820. 2, 3, 5, 47 What are the prime factors of 151093? 139, 1087 What are the prime factors of 11814? 2, 3, 11, 179 What are the prime factors of 138908? 2, 7, 11, 41 List the prime factors of 1013. 1013 What are the prime factors of 23582? 2, 13, 907 List the prime factors of 31269. 3, 7, 1489 What are the prime factors of 54401? 54401 List the prime factors of 99415. 5, 59, 337 List the prime factors of 5762. 2, 43, 67 What are the prime factors of 652? 2, 163 What are the prime factors of 73333? 13, 5641 List the prime factors of 64064. 2, 7, 11, 13 List the prime factors of 4840. 2, 5, 11 What are the prime factors of 1500? 2, 3, 5 List the prime factors of 6540. 2, 3, 5, 109 List the prime factors of 1105. 5, 13, 17 What are the prime factors of 597? 3, 199 What are the prime factors of 70581? 3, 7, 3361 What are the prime factors of 1205? 5, 241 List the prime factors of 8912. 2, 557 What are the prime factors of 3789? 3, 421 List the prime factors of 11553. 3, 3851 List the prime factors of 61647. 3, 20549 What are the prime factors of 48523? 48523 What are the prime factors of 14346? 2, 3, 797 List the prime factors of 4076. 2, 1019 What are the prime factors of 7530? 2, 3, 5, 251 List the prime factors of 100359. 3, 7, 59 What are the prime factors of 2720? 2, 5, 17 What are the prime factors of 2485? 5, 7, 71 What are the prime factors of 3019? 3019 What are the prime factors of 2718? 2, 3, 151 What are the prime factors of 16406? 2, 13, 631 What are the prime factors of 2706? 2, 3, 11, 41 List the prime factors of 43959. 3, 14653 What are the prime factors of 5140? 2, 5, 257 List the prime factors of 2342. 2, 1171 List the prime factors of 1084. 2, 271 What are the prime factors of 29916? 2, 3, 277 List the prime factors of 3582. 2, 3, 199 List the prime factors of 85856. 2, 2683 List the prime factors of 6817. 17, 401 What are the prime factors of 15429? 3, 37, 139 List the prime factors of 18081. 3, 7, 41 What are the prime factors of 45788? 2, 11447 What are the prime factors of 1417? 13, 109 What are the prime factors of 3222? 2, 3, 179 List the prime factors of 2734. 2, 1367 What are the prime factors of 2444? 2, 13, 47 What are the prime factors of 712? 2, 89 List the prime factors of 20648. 2, 29, 89 What are the prime factors of 8376? 2, 3, 349 List the prime factors of 617. 617 List the prime factors of 720. 2, 3, 5 What are the prime factors of 5022? 2, 3, 31 What are the prime factors of 4645? 5, 929 List the prime factors of 2674. 2, 7, 191 List the prime factors of 1277. 1277 What are the prime factors of 1204? 2, 7, 43 List the prime factors of 15076. 2, 3769 List
{ "pile_set_name": "DM Mathematics" }
6 What is the remainder when 1396 is divided by 78? 70 What is the remainder when 102 is divided by 36? 30 Calculate the remainder when 178 is divided by 18. 16 What is the remainder when 1059 is divided by 66? 3 Calculate the remainder when 780 is divided by 49. 45 Calculate the remainder when 8594 is divided by 11. 3 What is the remainder when 90 is divided by 46? 44 What is the remainder when 90 is divided by 19? 14 What is the remainder when 8055 is divided by 158? 155 What is the remainder when 272 is divided by 65? 12 Calculate the remainder when 77 is divided by 71. 6 What is the remainder when 94 is divided by 64? 30 What is the remainder when 99 is divided by 32? 3 Calculate the remainder when 349 is divided by 91. 76 What is the remainder when 3709 is divided by 25? 9 What is the remainder when 254 is divided by 12? 2 What is the remainder when 132 is divided by 37? 21 Calculate the remainder when 99 is divided by 28. 15 What is the remainder when 479 is divided by 227? 25 What is the remainder when 340 is divided by 11? 10 What is the remainder when 247 is divided by 8? 7 What is the remainder when 135 is divided by 23? 20 Calculate the remainder when 65 is divided by 11. 10 What is the remainder when 1448 is divided by 50? 48 Calculate the remainder when 263 is divided by 42. 11 Calculate the remainder when 577 is divided by 302. 275 What is the remainder when 486 is divided by 33? 24 Calculate the remainder when 462 is divided by 28. 14 What is the remainder when 243 is divided by 76? 15 Calculate the remainder when 167 is divided by 65. 37 What is the remainder when 1840 is divided by 601? 37 What is the remainder when 300 is divided by 29? 10 Calculate the remainder when 2180 is divided by 709. 53 Calculate the remainder when 229 is divided by 121. 108 What is the remainder when 2490 is divided by 27? 6 Calculate the remainder when 150 is divided by 31. 26 What is the remainder when 1807 is divided by 67? 65 Calculate the remainder when 566 is divided by 153. 107 Calculate the remainder when 3891 is divided by 7. 6 Calculate the remainder when 161 is divided by 115. 46 What is the remainder when 728 is divided by 27? 26 Calculate the remainder when 2777 is divided by 174. 167 Calculate the remainder when 246 is divided by 31. 29 What is the remainder when 34 is divided by 7? 6 What is the remainder when 644 is divided by 12? 8 Calculate the remainder when 6834 is divided by 120. 114 Calculate the remainder when 204 is divided by 64. 12 What is the remainder when 119 is divided by 25? 19 What is the remainder when 149 is divided by 11? 6 Calculate the remainder when 27 is divided by 22. 5 Calculate the remainder when 168 is divided by 155. 13 What is the remainder when 112 is divided by 6? 4 Calculate the remainder when 69047 is divided by 12. 11 Calculate the remainder when 123 is divided by 121. 2 What is the remainder when 173 is divided by 38? 21 What is the remainder when 237 is divided by 49? 41 Calculate the remainder when 1751 is divided by 46. 3 Calculate the remainder when 3774 is divided by 151. 150 Calculate the remainder when 2110 is divided by 358. 320 Calculate the remainder when 519 is divided by 144. 87 What is the remainder when 137 is divided by 40? 17 Calculate the remainder when 3795 is divided by 1247. 54 Calculate the remainder when 2939 is divided by 21. 20 Calculate the remainder when 657 is divided by 215. 12 Calculate the remainder when 81 is divided by 23. 12 Calculate the remainder when 525 is divided by 171. 12 Calculate the remainder when 32 is divided by 6. 2 What is the remainder when 53 is divided by 51? 2 Calculate the remainder when 56 is divided by 43. 13 What is the remainder when 1832 is divided by 1? 0 Calculate the remainder when 423 is divided by 124. 51 What is the remainder when 4732 is divided by 1180? 12 Calculate the remainder when 2240 is divided by 38. 36 Calculate the remainder when 4648 is divided by 15. 13 Calculate the remainder when 776 is divided by 764. 12 What is the remainder when 117 is divided by 29? 1 What is the remainder when 259 is divided by 90? 79 What is the remainder when 3866 is divided by 88? 82 What is the remainder when 31 is divided by 7? 3 Calculate the remainder when 464 is divided by 19. 8 What is the remainder when 62 is divided by 18? 8 What is the remainder when 6550 is divided by 182? 180 What is the remainder when 377 is divided by 19? 16 What is the remainder when 320 is divided by 53? 2 Calculate the remainder when 1810 is divided by 182. 172 Calculate the remainder when 20 is divided by 5. 0 Calculate the remainder when 222 is divided by 12. 6 What is the remainder when 58 is divided by 16? 10 What is the remainder when 423 is divided by 61? 57 Calculate the remainder when 8254 is divided by 192. 190 Calculate the remainder when 261 is divided by 66. 63 Calculate the remainder when 2193 is divided by 122. 119 Calculate the remainder when 70 is divided by 4. 2 Calculate the remainder when 129 is divided by 87. 42 What is the remainder when 918 is divided by 174? 48 Calculate the remainder when 4171 is divided by 379. 2 Calculate the remainder when 102 is divided by 52. 50 Calculate the remainder when 23 is divided by 4. 3 Calculate the remainder when 1272 is divided by 64. 56 Calculate the remainder when 592 is divided by 210. 172 What is the remainder when 1559 is divided by 224? 215 Calculate the remainder when 59 is divided by 47. 12 Calculate the remainder when 65 is divided by 21. 2 What is the remainder when 659 is divided by 33? 32 What is the remainder when 698 is divided by 650? 48 What is the remainder when 187 is divided by 47? 46 Calculate the remainder when 593 is divided by 100. 93 What is the remainder when 41 is divided by 19? 3 Calculate the remainder when 717 is divided by 156. 93 Calculate the remainder when 123 is divided by 27. 15 What is the remainder when 2206 is divided by 92? 90 Calculate the remainder when 452 is divided by 81. 47 Calculate the remainder when 180 is divided by 23. 19 Calculate the remainder when 192 is divided by 9. 3 Calculate the remainder when 104 is divided by 13. 0 Calculate the remainder when 3378 is divided by 223. 33 What is the remainder when 1668 is divided by 152? 148 Calculate the remainder when 1223 is divided by 10. 3 What is the remainder when 137 is divided by 69? 68 What is the remainder when 5682 is divided by 58? 56 What is the remainder when 76 is divided by 19? 0 What is the remainder when 103 is divided by 23? 11 Calculate the remainder when 2139 is divided by 119. 116 What is the remainder when 43 is divided by 34? 9 Calculate the remainder when 390 is divided by 95. 10 What is the remainder when 731 is divided by 61? 60 What is the remainder when 590 is divided by 37? 35 What is the remainder when 8067 is divided by 25? 17 What is the remainder when 1980 is divided by 31? 27 What is the remainder when 74 is divided by 26? 22 Calculate the remainder when 390 is divided by 50. 40 Calculate the remainder when 126 is divided by 20. 6 What is the remainder when 928 is divided by 93? 91 What is the remainder when 89 is divided by 28? 5 What is the remainder when 1045 is divided by 38? 19 Calculate the remainder when 278 is divided by 116. 46 What is the remainder when 2390 is divided by 8? 6 What is the remainder when 302 is divided by 38? 36 What is the remainder when 810 is divided by 274? 262 What is the remainder when 528 is divided by 59? 56 What is the remainder when 406 is divided by 130? 16 Calculate the remainder when 1048 is divided by 14. 12 Calculate the remainder when 145 is divided by 1. 0 What is the remainder when 548 is divided by 273? 2 What is the remainder when 1401 is divided by 117? 114 What is the remainder when 5681 is divided by 1884? 29 What is the remainder when 284 is divided by 3? 2 Calculate the remainder when 1937 is divided by 604. 125 What is the remainder when 1687 is divided by 26? 23 Calculate the remainder when 66 is divided by 8. 2 What is the remainder when 1921 is divided by 237? 25 What is the remainder when 265 is divided by 67? 64 What is the remainder when 207 is divided by 19? 17 What is the remainder when 991 is divided by 62? 61 What is
{ "pile_set_name": "DM Mathematics" }
Simplify ((i**(2/11)/i*i)/i)/i**(2/11)*(i**3)**(-5/4) assuming i is positive. i**(-19/4) Simplify ((q*(q*q/q**(-15)*q)/q*q)/((q*q**(-7/4))/q))/(q/(q/q**(4/7)*q)*q)**(-4/9) assuming q is positive. q**(5293/252) Simplify y**(-9)*y**6*y*y**2/y*y**(-2/21)/y assuming y is positive. y**(-44/21) Simplify (o**(-2/3))**(20/11)*(o**(-7))**(-2/27) assuming o is positive. o**(-206/297) Simplify (g*g**15)**(-2/59)/(g**(-34)*g*g**(3/5)/g*g) assuming g is positive. g**(9398/295) Simplify (((d/(d**(2/25)/d)*d)/d)**(-44))**21 assuming d is positive. d**(-44352/25) Simplify (y*(y/(y/y**(-1/6))*y)/y)**(-20)*y/((y/y**(-7/8))/y)*y*y*y*y**11*y assuming y is positive. y**(-37/24) Simplify (((i/(i**1/i))/(i*i**(-3/10)))/(i**(-1/5)*i)**(-8))**(-6/5) assuming i is positive. i**(-201/25) Simplify (s**(7/5)*s)**(-10)*s**1/(s/s**(2/27)) assuming s is positive. s**(-646/27) Simplify n/(n/n**(-2/5))*n*n**(-19)*n**(5/6)*n*(n/n**(-3/8))/n assuming n is positive. n**(-1943/120) Simplify ((j**7/j)/j*j/(((j*j*j/((j*j*j**(2/5))/j*j))/j)/j)*(j**(1/3))**(1/23))**(-46) assuming j is positive. j**(-5116/15) Simplify (((u**(12/5)/u)/u)/(u/(u/u**(2/43))))/((u**(-19)/u)/(u*u/(u/(u**(-4/15)/u)))) assuming u is positive. u**(12956/645) Simplify (y**(-1/20)/(y*y**19))**(-39) assuming y is positive. y**(15639/20) Simplify ((b/(b/(b**(-13)/b*b*b))*b)/b)**(-8/9)/(b**(-4))**(2/15) assuming b is positive. b**(56/5) Simplify (n*n**(3/7))**(2/15)*(n**(-1))**39 assuming n is positive. n**(-815/21) Simplify ((n**(-1/6)*n**(3/2))/(n**(-10)*n*n*n*n**(-7)))**(-18/11) assuming n is positive. n**(-276/11) Simplify (x*(x*(x**(-2/25)/x*x*x)/x*x*x)/x)/(x*x*x**(2/9)*x)*((x**(-1/7)*x)/x)/(x/(x/x**(-2/7))) assuming x is positive. x**(-251/1575) Simplify (y**(3/8)*y/y**(3/29))**(1/19) assuming y is positive. y**(295/4408) Simplify (g**(-1/6)/(g**(1/10)*g)*g**3*g/(g/(g*g**(-4/7))))**(-10/3) assuming g is positive. g**(-454/63) Simplify ((j**(-2/35)*j*(j*j**(5/9))/j)**(-1/22))**(2/7) assuming j is positive. j**(-472/24255) Simplify (w**(-6))**(1/35)/(w**(-12))**22 assuming w is positive. w**(9234/35) Simplify (((x**(-45)*x)/x*x)/(x/(x*x/x**(-2/3))))**(-10) assuming x is positive. x**(1270/3) Simplify ((t/(t/t**(-3))*t)/(t*t/(t*t**5))*(t*t**1/t)**(-7/11))**(-3/2) assuming t is positive. t**(-45/22) Simplify (((q/(q**2/q))**(-14))**12)**42 assuming q is positive. 1 Simplify (d**(-3))**(-16)/(d*d**5*d*d*d**(-8)) assuming d is positive. d**48 Simplify (o/(o*o*o**(-7)))/o**(1/47)*o**22/o*o*(o*o**(-10/3)*o*o)/o assuming o is positive. o**(3757/141) Simplify (q**(1/3)*q*q*q**(1/32)/q)/(q*q*q**11*q*q*q*q**(-1/18)) assuming q is positive. q**(-4199/288) Simplify (u*u/u**(-14))/(u/(u/u**(3/16)))*(u/(u**5*u))/(u**(-1/4)/u) assuming u is positive. u**(193/16) Simplify (w*w**(-3/8)/w)**0/(w**(-1)*w*w*w**11) assuming w is positive. w**(-12) Simplify (((j*j/j**(-15/7))/j**16)**(2/141))**12 assuming j is positive. j**(-664/329) Simplify (((g/g**(1/3))**(-14/3))**(17/5))**(-16) assuming g is positive. g**(7616/45) Simplify ((j**(-4)/j)/j)**(-1/47)/(j/(j**(-3/7)*j))**(-31) assuming j is positive. j**(4413/329) Simplify (d**(1/2)/d**(2/11))/(d**(-5)*d)**(28/9) assuming d is positive. d**(2527/198) Simplify ((j**(1/2))**39/(j**(-8)/(j*j**(1/3))))**(-6) assuming j is positive. j**(-173) Simplify ((b**(2/15)*b/(b**2/b))/(b**(-3)/b)**(10/9))**(-1) assuming b is positive. b**(-206/45) Simplify ((b*b*b**5*b)/(b/b**(-2/9))*((b**(-7)/b)/b)/(b/(b**5/b)))**(42/11) assuming b is positive. b**(98/33) Simplify (l*l*l*l*(((l*l*l**(2/11))/l*l)/l)/l*l)**(-47)/(l/(l/(l/(l/(l*l/((l*l*l**(-11)/l)/l)*l)))*l)*l*l/l**(5/6)*l) assuming l is positive. l**(-17075/66) Simplify ((j**(-5)*j*j*(j*j**(1/12)*j)/j)/(j**(-1/14)/(j/(j/j**11))))**(-47) assuming j is positive. j**(-36143/84) Simplify (q*q**(-4/3)*q**(-5/8))**(-1/54) assuming q is positive. q**(23/1296) Simplify (z/z**0)/z*z**(-1)*(z*z/z**(-1/5))**(-7) assuming z is positive. z**(-82/5) Simplify ((l**(-1/7)/l)/l**14)/((l*l**26*l)/(l*l**(-33)*l)) assuming l is positive. l**(-519/7) Simplify ((b/b**(-2/41))/(b/((b/(b*b/((b**12/b)/b)))/b))*b/b**(1/3)*b*b*(b*b**(3/8)/b)/b)**(27/5) assuming b is positive. b**(89361/1640) Simplify ((n/n**(16/5))/(n**(13/6)/n))**(-12) assuming n is positive. n**(202/5) Simplify (c/(c**0*c)*c/(c*c**(2/19)))/(c**12/((c*c**(-3))/c)) assuming c is positive. c**(-287/19) Simplify ((u*((u**15*u)/u)/u*u)/u**12)/(u/(u/u**(-1))*(u/u**(-6/13))/u) assuming u is positive. u**(59/13) Simplify (((u/u**(-3/2))/(u*u**(-4/7)*u))**(1/21))**41 assuming u is positive. u**(205/98) Simplify ((j*j**(-4)*j)/(j*j*j**(-1/4)*j)*((j*j**(2/3)*j)/j)**(33/7))**42 assuming j is positive. j**(261/2) Simplify ((q*q**(-2/3))/(q*q**(-29)/q*q))/((q*q*q/(q**(-1/56)/q))/q*q/((((q**(2/3)/q*q)/q)/q*q)/q)) assuming q is positive. q**(1287/56) Simplify (d**(-2)*d**7)/(d**(-1/6)/(d/(d*d**(-6/11)*d))) assuming d is positive. d**(311/66) Simplify ((f/(f/(f**(4/3)/f)))/(f*f**(-4/9)/f*f))/((f**(1/23)*f)/(f**(2/15)*f)) assuming f is positive. f**(-137/1035) Simplify (((g*g**(-10)*g)/(g**(-7)/g))**(-3/10))**(-1/35) assuming g is positive. 1 Simplify (g*g**(2/25))/g*g**(-16)*((g/(g**(-1/15)*g*g))/g)**(-1/23) assuming g is positive. g**(-27317/1725) Simplify s**(-1/39)*s**(-3)*(s**(-24))**(6/31) assuming s is positive. s**(-9274/1209) Simplify ((o/(o*o*(o**(-24)/o)/o))/o)**(-11)*(o/o**(-4/11))**(-24) assuming o is positive. o**(-3264/11) Simplify (v*v/(v*v/v**3))/(v*v*v/v**2)*v**(-1)*v**(-1/6) assuming v is positive. v**(5/6) Simplify ((x*((x*x/(x**5*x))/x)/x*x)/x**(-2/9)*(x**(-1/2))**(-1/5))**(-4/21) assuming x is positive. x**(662/945) Simplify ((n*n**3*n)/n)**18*(n/(n/n**(-23)))/(n/n**(-34)) assuming n is positive. n**14 Simplify ((z*z**(-7/3)/z*z)/z)**(-9/2)/(((z*z**(-15)*z)/z)/z)**(-14) assuming z is positive. z**(-399/2) Simplify (x/(x/x**14))**(-49)*(x/(x/((x*x**(1/2)*x*x*x)/x)))/x*x**29 assuming x is positive. x**(-1309/2) Simplify ((t*t**(-5))/((t/t**3)/t))/(t**(2/7))**41 assuming t is positive. t**(-89/7) Simplify (g*(g*(g*g**13/g)/g)/g*g*g)**(4/17)/((g*g**8*g)/g)**46 assuming g is positive. g**(-6978/17) Simplify (t/t**(-2/11))**(1/33)/(t**(-11)/((t*(t/(t/t**(-22)*t))/t)/t)) assuming t is positive. t**(-4706/363) Simplify (((q*q**(-1)/q)/q*q**(-2))/(q*q**1)**(21/2))**(-4/13) assuming q is positive. q**(100/13) Simplify (s**(2/3)*s)**(-35)/((s/(s*s*s*s**(-1)*s*s)*s)/s*s**(2/9)/s*s*s*s) assuming s is positive. s**(-518/9) Simplify ((((w/w**4*w)/w)**(-1))**(-4/13))**(-31) assuming w is positive. w**(372/13) Simplify (q/(((q*q**(-4/13))/q)/q))**(-5/4)/(q**2/(q/((q/(q*(q*q**(11/3)*q)/q*q))/q))) assuming q is positive. q**(217/78) Simplify t/(t/(t**(7/3)*t))*t**(-13)*t*t**(-4/11)*t*t**(-2/13) assuming t is positive. t**(-3511/429) Simplify r**(-20)/r**(-4)*(r**(3/13)/r)/r**(-4/5) assuming r is positive. r**(-1038/65) Simplify s/s**(1/3)*s*s/(s/s**(-8))*s*s*s*s*s**0/s*s**(2/13) assuming s is positive. s**(-124/39) Simplify (w**(15/4)/w**12)/(w/w**(-4/9)*w*w*w/(w/(w/w**(-5/8))*w)) assuming w is positive. w**(-887/72) Simplify (k*k*k**(-1/6)*k*k)**(-1/43)*((k*k/k**(2/13)*k)/k)/k*k*(k/(k**(-25)*k*k))/k assuming k is positive. k**(83035/3354) Simplify j**22/j*j*j/(j**(-29)/j)*(j/(j/(j/((j/(((j/(j/(j*j**16*j)*j))/j)/j))/j))*j))**(-39/2) assuming j is positive. j**(-479/2) Simplify (k**1)**(-32)/(k**(-2))**(-6/7) assuming k is positive. k**(-236/7) Simplify ((c**(-1/6)/(c/c**6))**(6/13))**(-2/41) assuming c is positive. c**(-58/533) Simplify (y**(-4/25)/(y/(y**(-8)/y)*y))**43 assuming y is positive. y**(-11997/25) Simplify (((b*b**(1/47))/(b/(b/(b/(b/(b*b/(b/b**18)))))))**(-1))**(-1/8) assuming b is positive. b**(-845/376) Simplify (a*a*((a/(a*a*a**(-10)*a*a))/a)/a*(a*a/(a*a**2*a*a))/a*((a/(a*a**(-3/8)))/a)/((a/(a**(2/7)*a))/a))**(1/48) assuming a is positive. a**(205/2688) Simplify (j/(j/j**18))**41/((j/((j/(j*j**(9/4)*j)*j)/j))/j*((j*j/j**9)/j)/j*j) assuming j is positive. j**(2971/4) Simplify (p**(-1/2)*p*p*p*p/(p*(p/(p**2/p))/p)*p*p**4*p**(-8)*p)**(4/5) assuming p is positive. p**(6/5) Simplify (v*v**(-20)*v)/v**(-1/18)*((v/v**(-1/18))/v)/(v/(v**(-5/9)/v)) assuming v is positive. v**(-184/9) Simplify (q**(-2)/q*q)/q*q**(-6/13)*(q/(q*q**(-9)*q))/(q**(-13)*q) assuming q is positive. q**(215/13) Simplify (g**(-12)*g**(-
{ "pile_set_name": "DM Mathematics" }
ivisor of 616 and 10984952. 88 What is the greatest common divisor of 350667 and 1063607? 829 What is the highest common factor of 1236246 and 42? 6 Calculate the highest common divisor of 670350 and 72450. 150 What is the greatest common divisor of 370997437 and 314? 157 What is the greatest common divisor of 127563 and 156045? 303 Calculate the highest common divisor of 478728320 and 336. 112 Calculate the greatest common divisor of 20786953 and 121. 121 What is the highest common divisor of 950 and 525756410? 190 What is the highest common divisor of 11702338 and 438? 146 What is the highest common divisor of 51119471 and 9321? 3107 Calculate the highest common factor of 2730 and 4189510. 130 What is the highest common factor of 175814872 and 712? 712 Calculate the highest common factor of 1009152 and 11388. 876 Calculate the greatest common factor of 320 and 452085440. 320 Calculate the greatest common divisor of 12 and 76698882. 6 Calculate the greatest common factor of 11622330 and 2920. 730 What is the greatest common divisor of 258972972 and 5058? 1686 What is the greatest common factor of 754 and 95315779? 377 What is the greatest common factor of 6685998 and 11110? 2222 What is the greatest common divisor of 2169468 and 41328? 252 Calculate the greatest common factor of 4513663 and 70301. 847 What is the greatest common divisor of 34150 and 37892157? 683 Calculate the greatest common divisor of 310698 and 522. 18 Calculate the highest common factor of 4851650 and 2850. 950 What is the highest common divisor of 278221 and 143838? 61 Calculate the greatest common divisor of 80432 and 176. 176 What is the highest common divisor of 288 and 9258048? 288 What is the highest common factor of 3736992 and 49848? 1608 What is the greatest common factor of 581532 and 154413? 903 What is the highest common divisor of 3222 and 5977705? 179 Calculate the greatest common factor of 10189929 and 564. 141 What is the greatest common divisor of 6396 and 9558084? 492 Calculate the greatest common factor of 4881105 and 34875. 1395 Calculate the highest common factor of 437160406 and 374. 34 What is the greatest common factor of 2486705 and 1142? 571 Calculate the greatest common factor of 1929546 and 4. 2 What is the greatest common factor of 1828425 and 825? 75 What is the greatest common divisor of 4782861 and 13959? 1269 Calculate the greatest common factor of 990 and 7129089. 99 Calculate the greatest common factor of 15871617 and 45. 9 Calculate the highest common divisor of 7190270 and 320. 10 Calculate the highest common factor of 169138882 and 34. 34 Calculate the greatest common factor of 2181584 and 154837. 2311 Calculate the greatest common divisor of 3857 and 307363. 133 What is the greatest common divisor of 9689 and 6763? 1 Calculate the greatest common divisor of 40368420 and 16440. 8220 Calculate the highest common factor of 185947604 and 12502. 1786 Calculate the highest common divisor of 1147 and 28647583. 37 Calculate the highest common divisor of 1365 and 9303. 21 Calculate the highest common factor of 24 and 130044. 12 Calculate the highest common factor of 816 and 45852264. 408 What is the highest common divisor of 512128 and 1136? 16 Calculate the greatest common divisor of 24885110 and 170. 170 Calculate the greatest common divisor of 28598339 and 6314. 77 What is the highest common divisor of 852 and 26660145? 213 Calculate the highest common factor of 38274 and 7728. 6 Calculate the highest common divisor of 1710157 and 591. 197 What is the greatest common divisor of 23439867 and 66? 33 What is the highest common divisor of 83438460 and 119? 7 What is the highest common divisor of 1189675 and 110? 5 Calculate the highest common factor of 235891791 and 1809. 1809 Calculate the highest common factor of 335 and 72777410. 335 What is the greatest common factor of 14019 and 90? 3 What is the highest common factor of 30162 and 841794? 2742 Calculate the highest common factor of 1 and 2268832. 1 Calculate the greatest common factor of 721221 and 57. 57 Calculate the highest common divisor of 688345 and 1786715. 2485 What is the greatest common divisor of 481 and 868982? 37 Calculate the greatest common divisor of 81207181 and 12719. 1817 What is the greatest common divisor of 97954470 and 1150? 230 Calculate the highest common divisor of 7444638 and 9. 9 What is the highest common divisor of 2016 and 242886? 42 What is the highest common divisor of 343470 and 136440? 30 Calculate the greatest common divisor of 229274510 and 21720. 1810 Calculate the highest common divisor of 80122203 and 27. 27 Calculate the greatest common factor of 211 and 1323181. 211 Calculate the greatest common factor of 107822 and 135256. 638 What is the greatest common divisor of 368683 and 17444? 7 What is the greatest common factor of 5017432 and 20? 4 Calculate the highest common factor of 779 and 193224718. 779 Calculate the highest common factor of 625182 and 794136. 174 What is the greatest common divisor of 886776 and 154? 22 Calculate the highest common divisor of 49756 and 304046477. 12439 What is the highest common divisor of 16537260 and 340? 340 What is the greatest common factor of 378 and 15484406? 14 What is the greatest common factor of 1026994 and 1061038? 5674 What is the highest common divisor of 104 and 3433196? 52 Calculate the highest common factor of 844 and 238852. 844 What is the greatest common factor of 31416624 and 288? 144 Calculate the greatest common factor of 3530 and 5234590. 10 What is the greatest common divisor of 391983585 and 4410? 735 What is the greatest common factor of 7252839 and 18? 9 What is the highest common divisor of 30456 and 704538? 162 Calculate the highest common divisor of 13620 and 2565327. 681 Calculate the greatest common factor of 72254 and 5301538. 794 What is the greatest common divisor of 3040200 and 555? 15 What is the greatest common divisor of 34426962 and 2952? 738 Calculate the highest common factor of 40186076 and 2156. 196 What is the greatest common divisor of 4306487 and 6186? 1031 Calculate the highest common factor of 4864555 and 63557. 4889 Calculate the highest common factor of 3451353 and 1. 1 Calculate the greatest common factor of 7098 and 4607616. 1014 Calculate the highest common factor of 144207 and 1881231. 327 What is the greatest common factor of 1199934 and 891? 81 Calculate the greatest common factor of 161929 and 22826. 113 Calculate the greatest common factor of 51 and 4045407. 3 What is the greatest common factor of 14370 and 14520? 30 Calculate the highest common factor of 378407628 and 36. 36 Calculate the highest common factor of 23645116 and 66. 22 What is the highest common factor of 10975 and 169224403? 439 What is the highest common factor of 339117590 and 89? 89 Calculate the greatest common divisor of 5552 and 122248447. 347 What is the highest common factor of 216375 and 12769587? 1731 What is the highest common factor of 402777787 and 158? 79 Calculate the highest common divisor of 1085217 and 168. 21 What is the highest common divisor of 108236067 and 249? 249 Calculate the greatest common factor of 37385 and 265. 5 Calculate the highest common factor of 62 and 22978378. 62 What is the greatest common divisor of 2254 and 3132416? 322 Calculate the highest common divisor of 3347 and 734325106. 3347 What is the highest common factor of 3870600 and 38400? 600 Calculate the highest common factor of 20811 and 45246087. 2973 Calculate the highest common factor of 9847 and 11059784. 229 What is the highest common factor of 199756550 and 1050? 350 What is the highest common divisor of 1315942 and 8288? 74 What is the highest common divisor of 2742497 and 349633? 2021 What is the highest common factor of 34 and 571081? 17 Calculate the greatest common divisor of 39078026 and 442. 26 Calculate the greatest common divisor of 88598089 and 3491. 3491 What is the greatest common divisor of 12575306 and 916? 458 What is the greatest common divisor of 113269126 and 1622? 1622 What is the greatest common factor of 1855 and 1133670? 265 Calculate the greatest common divisor of 81468 and 8438508. 2628 Calculate the highest common factor of 963268 and 114086. 562 Calculate the
{ "pile_set_name": "DM Mathematics" }
1*c = 1549*c - 4, c = -5*y + 7 for y. 2 Solve 0 = -a - 5*w + 13, -5*w = -277*a + 276*a - 7 for a. 3 Solve 5*c = -3*h + 1, -5*h = 197*c - 194*c - 7 for h. 2 Solve -15 = 5*g, q - 19*g - 182 = -0*q + g + 40*g for q. 2 Solve -2*c = -2*h - 10, 190*c - 194*c + 74*h = -160 for c. 3 Solve -25*s + 22*s - 4*h + 18 = 0, 2*s - 3*h = -5 for s. 2 Solve 6*m = 560 - 506, -k = -0*m - m + 9 for k. 0 Solve -2*h - 6 = c + 10, -3*c = 3*h + 21 for h. -9 Solve 0 = 5*t + 4*n + 10, 5*n = -3*t + 493 - 486 for t. -6 Solve 496*b = 500*b + 3*f + 33, -3*b + 5*f - 61 = 0 for b. -12 Solve 19 = 5*r + 2*k, -2*k = 275*r - 276*r - 1 for r. 3 Solve 2*k + 2*u = -6, -287*u + 5 = -282*u for k. -4 Solve 3*d - 5*y + 19 = 0, -17*d + 23*d = -y - 16 for d. -3 Solve -2*x = 251*n - 253*n - 4, -5*x = 5*n + 30 for x. -2 Solve -2*u = h - 18, -1299*u = 4*h - 1298*u - 44 for h. 10 Solve 4*v = -p + 28, 1997*v + 35 = 2002*v + 3*p for v. 7 Solve a - 3*t - 13 = 0, a + 3 = -1063*t + 1062*t for a. 1 Solve 2*o + 3*q = -0 + 15, -3*o + q = 5 for o. 0 Solve -12*x = 4*k - 74 + 10, -2 = -2*k for x. 5 Solve -4*w - 28 = 4*s, 4*s = -16 + 8 for w. -5 Solve 0 = -4*j + 5*q + 19, -236331*q = -5*j - 236335*q - 7 for j. 1 Solve l = 0, 6*l - 9*l = -0*v + 3*v - 8*l + 6 for v. -2 Solve -w = 2*p - 5, 0 = 3*w + 3*p - 5 - 10 for w. 5 Solve -p - 16*p = 2*r - 12*p - 15, 4*p = -4*r for r. -5 Solve 166*q - 162*q - 4*r - 48 = 0, q + 10*r = -10 for q. 10 Solve 0 = p + 3*o + 12, -3*o - 12 = -487*p + 486*p for p. 0 Solve 5*s + 3*n = 43, 0 = 3*s - 27*n + 23*n - 49 for s. 11 Solve d = 4*j + 11, -j + 4*d - 50 = -66 for j. -4 Solve -5*x - 75*r - 10 = -76*r, 4*r - 15 = -5*x for x. -1 Solve 2*a + 226 = 4*l + 202, -25 = 4*l - 9*l for a. -2 Solve 2*t = -3*a + 20, 3*t - a - 1226 = -1196 for t. 10 Solve -41*m + 42*m - 8 = -4*q, -5*m - 26 = -2*q for m. -4 Solve -5*y + 1 = -261*k + 264*k, 0 = 3*k - 6 for y. -1 Solve -2*b = 5*k - 26, -4*k + 126 = 4*b + 98 for b. 3 Solve -3*p + 8 = -u, -12676*p + 4 = -12678*p + 3*u for p. 4 Solve 11*v + 2*x = -13*v - 104, -4 = 4*v - 3*x for v. -4 Solve -3*d + 4*m + 567 = 550, -4*m - 37 = d for d. -5 Solve 136*r + 4*t - 7 = 131*r, 2*t = -4*r + 8 for r. 3 Solve 2*o - 2*r - 16 = 0, -2*o + 146 = -r + 132 for o. 6 Solve -3*t - 5*q - 6832 = -6812, 3*t = -3*q - 12 for t. 0 Solve -8*j = 140*b - 141*b + 8 - 74, 3*j = -4*b + 16 for b. -2 Solve 5*p + 62 = -5*y + 47, 73 = 4*p - 13*y for p. 2 Solve 0 = -4*w + 5*g - 21, 4*w - 24 + 0 = -4*g for w. 1 Solve 3*r + d = 28 - 42, 2*d = 6*r + 20 for r. -4 Solve -2*p - 43*h + 42*h + 18 = 0, 5*p + 20 = 4*h for p. 4 Solve -2*g + 0*v + 10 = 2*v, 9*g - 10*v = -4*v for g. 2 Solve 3*y + 10 = -2*c, 20*c - 17*c + 20 = -2*y for y. 2 Solve 12*o - 8*o = -4*h + 24, 10 = 2*o for h. 1 Solve 3*x - 22*u + 14 = -21*u, 3*x + 4*u - 26 = 0 for x. -2 Solve g + 4*u = -24, 259*g - 2*u = 260*g + 14 for g. -4 Solve 84 - 99 = -5*j - 5*s, 11 = 5*j + s for j. 2 Solve 4*i - 2*a = 12, i = -3*a + 10 - 7 for i. 3 Solve 5*s = 4*p + 28, -325 = -52*s + 5*p - 107 for s. 4 Solve s + 33 = 2*q, 13 = -388*s + 391*s + 2*q for s. -5 Solve -g + 29*f - 78 = 0, -20*g - 5*f - 21 = -24*g for g. 9 Solve -13*m = -12*m - 4*v + 12 - 3, 11*v - 114 = -10*m for m. 7 Solve -122 + 160 = -2*g + 4*s, 0 = -5*g - 5*s + 55 for g. 1 Solve 4*y = -4*o - 20, 601*o + 5 = 601*o - 5*y for o. -4 Solve 3*c - 3*o + 126 = 132, 2*o = -2*c - 8 for c. -1 Solve 0 = -l + 4567*b - 4564*b - 2, 0 = 5*l + b - 22 for l. 4 Solve 5*m + 2 = 2*p, 22*m = 4*p + 24*m + 44 for p. -9 Solve 33*z - 36*z = 2*d - 11, 0 = 2*z - d - 5 for z. 3 Solve -5*x + 2 = -3, -s - 4*x - 171 + 172 = 0 for s. -3 Solve a = -4*x - 3, 2*x - 3*a - 4 = -41 + 18 for x. -2 Solve -3*a = -25 + 13, 0 = 65*r - a + 69 for r. -1 Solve j = 3*g + 1, 2*j + 5*g - 75 = -84 for j. -2 Solve n - 13*s = -9*s + 22, -2*n + 4*s = -24 for n. 2 Solve 2967*x - 2971*x + 44 = 3*f, -3*f = 12*x - 108 for f. 4 Solve -4*v + 6*v + 280 = -27*n, -50 = 4*n + 2*v for n. -10 Solve -2*w = -2*n + 2, -n - 10938*w = -10943*w - 1 for n. 1 Solve 3*u + 25 = 5*h, 5*h = -u + 1691 - 1686 for h. 2 Solve 48*m - 43*m - 3*d - 8 = 0, -2*m - 8 = -4*d for m. 4 Solve m = 4*x + 9, 15 = -3946*m + 3943*m - 2*x for m. -3 Solve 2*g = 2*k - 3*k + 3, 0 = g + 3*k - 14 for g. -1 Solve 6*b + 14 = 5*b, 4*i - 33*b + 32*b = -6 for i. -5 Solve l = 4*v - 13, 41*v + 15 = -3*l + 45*v for l. -1 Solve -4*k - 101*h = -104*h, -4*h = 16 for k. -3 Solve 6*x - 30 = -3*n, -2*n - 17*x = -20*x + 8 for n. 2 Solve 5*a - 3189 = 2*o - 3220, 0 = a - 3*o + 14 for a. -5 Solve 1079*w = 1082*w + 4*b + 27, 3*w - b + 12 = 0 for w. -5 Solve 0 = b - 3*j + 6, -575*b + 5*j + 14 = -576*b for b. -9 Solve 0 = -z + 17*w + 70, 6*z - 427 = 4*w - 399 for z. 2 Solve 0 = 3*k - 9, -4*y - 105 = -4*k - 97 for y. 1 Solve 2*u = r + 1, -1 = -2*r + 244*u - 243*u for r. 1 Solve 3*u - 32 = -4*l - 23, 3*u + l + 9 = 0 for u. -5 Solve 640*y + 5644 = 1804, 20 = 2*i - 2*y for i. 4 Solve -c = -13*j + 70, 0 = 8*c - 13*c - 25 for j. 5 Solve 3 = 3*x - 4*u, -665*u = -2*x - 670*u - 21 for x. -3 Solve 15 = 2*g + 3*x, 52 = 4*g + 3*x + 25 for g. 6 Solve -14*n + 13*n - 3*z = 13, 4*z = -12 for n. -4 Solve 5*i + 18 = -h, -40*i + 35*i - 22 = -h for i. -4 Solve 0 = -2*a - k + 387 - 386, -k + 11 = -3*a for a. -2 Solve 2*i - 3*r + 14145 - 14168 = 0, -2*r - 18 = -4*i for i. 1 Solve 2*i + 1701*x = 1692*x - 76, 0 = -i - 5*x - 42 for i. -2 Solve 4*z - 13 + 22 = -v, v - 10 = 15*z for z. -1 Solve -8 = -5*a + 2*m, 5*a - 33*m = 177 - 45 for a. 0 Solve -6*x + 38 = 886*o - 908*o, o + 1 = x for x. -1 Solve 2*k = 2*y - 2, 193*k - 3 = 194*k for y. -2 Solve 153 = 38*s - 37*s - 22*m, -5*s + 16 = -3*m for s. -1 Solve -30*q - 68*q - 603 = 3*p, 4*q + 4*p + 17 = -27 for q. -6 Solve -5*a - 285*h = -288*h + 12, 11 = -4*a + h for a. -3 Solve 2*h - x - 4 = 0, -1821*h + 6*x - 5*x = -1822*h + 5 for h. 3 Solve 4*y + 20 = 0, -245*y + 244*y - 1 = 4*j for j. 1 Solve -19 = 5*j - 0*d + 3*d, 16 = -3*j + 2*d - 3 for j. -5 Solve 5*t + 25 = -5*w, -2*t + 24*w - 28*w = 18 for t. -1 Solve 4*w = -2*o + 54, 334*o - 5*w + 69 = 337*o for o. 3 Solve 2810*z - 2*b = 2806*z + 2, z + 16 = -5*b for z. -1 Solve -5*s + 115 = -5*v, 5*s = -3*v - 1650 + 1613 for s. 4 Solve -44649*t = -5*y - 44645*t - 28, 0 = 5*y + 5*t - 35 for y. 0 Solve 3*g - 3*p - 287 + 284 = 0, 0 = -5*g + p - 19 for g. -5 Solve 2*g - a + 19 = 0, -4*g - 12*a = -4*a - 52 for g. -5 Solve 2*o = 4*a - 22, 158*a = 2*o + 84*a + 79*a - 23 for o. -1 Solve 4*w = -5*f + 39, -30 = -8297*w + 8292*w for f. 3 Solve -20 = -5*w, -694*m + 699*m - 4*w + 21 = 0 for m. -1 Solve 355*s + 4*w = 354*s + 12, -14 = -4*s + w for s. 4 Solve 1581*a - 1585*a = -4*c - 36, 8 = -2*c for a. 5 Solve 5*j = 7*i - 55, 3*i - 159*j = 2*i - 155*j + 21 for i. 5 Solve 3*k - 131 = -4*x - 132, -k - 5 = 6*x for k. 1 Solve 7*p = o - 61, -203*p + 3*o = -205*p - 24 for p. -9 Solve s - 24 = 3*k, 0 = -4*s - 3*k - 34 - 5 for s. -3 Solve -4*t + 8 = 0, t - 5 - 4 - 1 = -3*w - w for w. 2 Solve 5*x = 3*x + 18, t + 12 = -5*t - 2*x for t. -5 Solve -u - 7 = b - 3*b, -b - 39 = -40 for u. -5 Solve -29 = -4*k - 5*i, -4*k - 2*i = -23 + 9 for k. 1 Solve -2*m + 8 = 0, 5*v - 2*m = 20 - 23 for v. 1 Solve -4*f - 144*a - 4 = -148*a, 0 = 2*f + 2*a - 18 for f. 4 Solve 15*q - 40 = -89*g + 94*g, 15 = 5*q - 2*g for q. 1 Solve -7*g = a + 37, -g - 7 = -2 for a. -2 Solve 0 = -2*y - 3*z - 37, -4*y + 5*z + 96 = 137 for y. -14 Solve 0 = -w + 77*d - 80*d + 18, 0 = w - 0*d - 4*d + 17 for w. 3 Solve -z - 110*u + 46 = -101*u, -2*u = 5*z - 15 for z. 1 Solve 4*q - 14 = -4041*b + 4043*b, 29 = -5*q - 13*b for q. 2 Solve 235967*x - 2*a = 235972*x - 25, 5*x = 3*a for x. 3 Solve -4*c - 3221 = 4*l - 3245, 3*c = -36*l - 48 for c. 8 Solve -3*j - 25395*i + 25392*i - 9 = 0, 0 = -10*j - 2*i - 22 for j. -2 Solve 62*p + 112 = -5*y + 58*p, 2*p - 54 = 3*y for y. -20 Solve 0 = p - 5*x - 27, -51 = 129*p - 134*p + 4*x for p. 7 Solve 2*t = -4, 6*t - 3 = -h + 8*t for h. -1 Solve a - 4 = 2*n, 0 = -2*a - 2*n - 1924 + 1908 for a. -4 Solve -v + 4*y - 3 = 0, 5*y - 18 = -8*v - 42 for v. -3 Solve 4*f + 9*q - 35 = 12*q, 20 = -4*q for f. 5 Solve 5*w - 30 = -5*x, -2*x - 6 = 7*w - 13 for x. 7 Solve 0 = -4*v - 5*m - 21, -58*m = -54*m + 20 for v. 1 Solve 2*p + 12315*c + 9 = 12318*c, 0 = -3*p - 0*c - 4*c + 29 for p. 3 Solve -3*l - 4*f = -16, 108*l - 113*l + f = 27 for l. -4 Solve -4*d = 4*z + 48, -5*d - 12363 = -z - 12345 f
{ "pile_set_name": "DM Mathematics" }
d x to 2 dps. 0.06 Let t = -90302083.7142 + 90301301.714200409. Let g = t - -782. Round g to 7 dps. 0.0000004 Let k = 2.29 - 2.341. Let c = 0.0510742 + k. What is c rounded to 5 decimal places? 0.00007 Let q = 145447.8321 - 145462. Round q to the nearest integer. -14 Let w = 10.919 + -10.918946265. Round w to 6 dps. 0.000054 Suppose 7*f + 50 = 32*f. Suppose 3*j = -f*j + 2*b - 5185006, 5*b - 1037015 = j. Round j to the nearest one million. -1000000 Let b = -11.829174 + 11.848. Round b to two decimal places. 0.02 Let z(g) = 8*g + 237. Let m be z(-29). Let y = 12 + -3. Suppose 3*n - y = 0, n - 19 = m*q + 9. Round q to the nearest ten. -10 Let m = 151657.472 - 152395. Let h = 736 + m. Round h to 2 dps. -1.53 Suppose -2*z = -3*b - 4*z + 1085, -4*b = -2*z - 1442. Suppose -5*k + 4099 = -3*v, -2*k - 3*v = -1287 - b. What is k rounded to the nearest 100? 800 Let j = -0.315 + 267.315. Let g = 2183.371141 + -1916.3711656. Let p = g - j. Round p to 6 dps. -0.000025 Let b = 231504 - 705234. Let c be 20/(-28) - b/(-42). Round c to the nearest one hundred. -11300 Let c = 17598.000024439 - 17598. What is c rounded to six decimal places? 0.000024 Let s(u) = 3817*u**2 + 12*u - 13. Let t be s(1). Suppose 4*h = -l - 3046, -2*h - 3*h + 3*l - t = 0. Round h to the nearest one hundred. -800 Suppose 15 + 5 = 5*l. Suppose 4*s - 630005 = -l*j + 9*j, j = 2*s - 315001. Suppose 0 = r + 8*r + s. What is r rounded to the nearest one thousand? -18000 Suppose 4*d + 537 = -2*l - 1641, 5*l + 5457 = 2*d. Let r = 719 + l. What is r rounded to the nearest ten? -370 Let w(n) = 18*n**3 - 71*n**2 + 98*n - 18. Let p be w(24). Round p to the nearest ten thousand. 210000 Let n = 11849 + -11863.555. What is n rounded to zero decimal places? -15 Let c = -0.56 + -58.44. Let o = c + 68.6. Let y = 9.5999898 - o. What is y rounded to six dps? -0.00001 Let d = 2.4442 + -3.38708. What is d rounded to 1 dp? -0.9 Let x(m) = 10221*m**2 - 3*m + 18. Let l = 82 + -87. Let g be x(l). Let j = -123442 - g. Round j to the nearest one hundred thousand. -400000 Let l = -2270991 - 405009. What is l rounded to the nearest one million? -3000000 Let k = 355 - 216. Let m = k - 138.9873. Let y = m - 0.012. Round y to 4 dps. 0.0007 Let l = -2.38 + 0.58. Let w = l - -13.8. Let u = w + -12.0073. Round u to three decimal places. -0.007 Suppose 0 = 20*l - 21*l - 36. Let d be (-8787)/10 - l/(-120). Round d to the nearest 100. -900 Let t = -18.46 - 1924.54. Let o = 1947.446 + t. What is o rounded to one dp? 4.4 Let r = 0.025 - 99.025. Let w = -105 - r. Let f = w + 6.000175. Round f to 4 decimal places. 0.0002 Let c = -78741 - -78741.0032061. Round c to 3 dps. 0.003 Let o = 3361.078 - 3357. Round o to 0 dps. 4 Let d(z) = -11 + 114*z - 193*z + 95*z. Let t be d(2). What is t rounded to the nearest integer? 21 Suppose -13 = 3*w - 19. Suppose -2*z + 165012 = 3*z - 3*n, w*n + 8 = 0. Round z to the nearest ten thousand. 30000 Let d = -1070.92802 + 1071. Round d to 3 decimal places. 0.072 Let n = -8.2 + 8.2335. Let q = 0.1769 + n. What is q rounded to two dps? 0.21 Let g = -29 + 115. Let p = g + -132. Let m = -45.999373 - p. What is m rounded to 4 decimal places? 0.0006 Let o = -569.1 - -20.1. Let u = -549.00407 - o. What is u rounded to three dps? -0.004 Let v be ((-4277075)/30)/11 - (-1)/(-6). Let n = 28650 + v. Suppose -61511 = 4*k + n. What is k rounded to the nearest 1000? -19000 Let j = -2731 + 1439. Let l = 1291.99077 + j. Round l to three decimal places. -0.009 Let k = 0.060534833 - 0.06054. Round k to seven dps. -0.0000052 Let d = -1.0289 + -931.7711. Let s = 858 + d. Round s to the nearest ten. -70 Let h = -571.618457 + 571.57. What is h rounded to three dps? -0.048 Let i = 0.173827 + -18.886947. Let n = i + 18.7. What is n rounded to three decimal places? -0.013 Let z = 13.4066 + 23.6179. Let y = z - 37. What is y rounded to two decimal places? 0.02 Let f = -696.314713 + 696.28. What is f rounded to two decimal places? -0.03 Suppose -3*h - 5*s = -205535, -342521 = -5*h + 68*s - 71*s. Round h to the nearest one thousand. 69000 Let q(g) = -15873*g**2 - 11*g + 12. Suppose a + 4 - 3 = 0, -5*v = 5*a - 110. Suppose v = 5*f + 3. Let d be q(f). Round d to the nearest 10000. -250000 Let m(z) = -572*z**2 - 5*z - 12. Let j be m(-4). Let i = 14284 + j. Round i to the nearest 1000. 5000 Suppose 3*o + 0 - 8 = 4*q, 5*q - 5 = 0. Suppose 3 = -v + o*l + 17, -v - 3*l = 7. Suppose 84933 = -v*k - 61067. What is k rounded to the nearest 10000? -70000 Let y = -0.023957496 - -111.024084496. Let g = y - 111. What is g rounded to four decimal places? 0.0001 Let p = -3515 - -3515.0000357. What is p rounded to five decimal places? 0.00004 Let j = 788 + -64. Let r = j - 723.995434. What is r rounded to four dps? 0.0046 Let r = 3186 - 3185.99985244. Round r to 6 decimal places. 0.000148 Let u = 34.39 + -20.9. Let k = u + -1.93. What is k rounded to one dp? 11.6 Let y = 135.965918 - -1.023482. Let c = y + -137. What is c rounded to three decimal places? -0.011 Let m = 0.058878 - 0.05860319. Round m to 6 decimal places. 0.000275 Let d = -5535.7 - -5252. Let f = 283.9478 + d. Round f to two decimal places. 0.25 Let x = -836 - -672.2. Let q = 163.79998953 + x. What is q rounded to seven dps? -0.0000105 Let r = 232.255 + -234. Let s = 76.045 + r. What is s rounded to the nearest ten? 70 Let m = -842 - -761.4. Let b = -22.1 - m. What is b rounded to the nearest integer? 59 Let x = 0.6899 - 79.7999. Let o = 1.89 - x. Let s = o - 101.3. What is s rounded to 0 dps? -20 Let y = 1613539 - 1613363.8439. Let a = -175 + y. Round a to two decimal places. 0.16 Suppose -24 = 20*g - 28*g. Suppose 0 = -5*x - h - 5881 + 141, -g*x - 4*h = 3461. Round x to the nearest one hundred. -1100 Let l = -483.794498 - -1050.794251. Let s = 567 - l. Round s to five dps. 0.00025 Let j = 11.72 + -11.7214499. What is j rounded to four dps? -0.0014 Let g(f) = -41*f**2 + 249*f - 4. Let y be g(6). Suppose y*l + 96726618 + 627073382 = 0. Round l to the nearest one million. -52000000 Let d(a) be the second derivative of 23*a**4/12 - a**3/6 + 7*a. Let l be d(-1). Let b be 10/6*(-351)/(-18)*l. Round b to the nearest 100. 800 Let f = 26.5 - 26.595. Let u = f - -0.0949175. What is u rounded to 5 decimal places? -0.00008 Let s be 81195 - ((-1)/(10/(-46)) - 38/(-95)). Round s to the nearest 1000. 81000 Let k = -315 - -343.7. Let s = -26 + k. Round s to the nearest integer. 3 Let x = 10246 + -10707. What is x rounded to the nearest ten? -460 Let x be 7030574 + (-6 - -24 - -8). What is x rounded to the nearest 100000? 7000000 Let p(r) = -2*r**2 + 24*r - 22. Let v be p(11). Let k be -6 + 685010 + -4 + v. Round k to the nearest ten thousand. 690000 Let y be (-6)/14 - 615/35. Let k be (y/4*1)/((-1)/2). Let g be 7/(-3)*9*(5 - k). What is g rounded to the nearest 100? 100 Suppose 0 = 16*r + 2 - 258. Suppose r*l = 4434293 + 21165707. Round l to the nearest one hundred thousand. 1600000 Let t = 88.66 + -85.78869. What is t rounded to 2 decimal places? 2.87 Let b = -62128 - -62068.962. What is b rounded to the nearest ten? -60 Suppose -4*h = -5*v - 91, 107 = 5*h + 3*v - 7*v. Suppose 18*s - h*s - 88100000 = 0. What is s rounded to the nearest one million? -88000000 Let s = 381635.99908 - 381664. Let x = -0.93 - 27.07. Let j = s - x. Round j to four decimal places. -0.0009 Let k(z) = -22581*z**3 - 2*z**2 - z + 4. Let x be k(2). Let l = x - -370641. Let g be 1*-2 + l + 15. What is g rounded to the nearest 100000? 200000 Let l(z) = -32*z + 55. Let j be l(2). Let s be (1647/j)/(6/(-280)). Round s to the nearest 1000. 9000 Let t = -442728.717641 + 442729. Let i = t + -0.2809. Round i to four decimal places. 0.0015 Let t = 297646883582.999999807 + -297646883805. Let d = 222 + t. What is d rounded to 7 dps? -0.0000002 Suppose -3*x + 4*l + 27 = 0, -5*x + 15 = 4*l + 2. Suppose -2*p - 373998 = -4*c, 12*c = 9*c + x*p + 280495. What is c rounded to the nearest 10000? 90000 Let f(g) = 241*g**2 - 2*g - 5. Let d be f(-4). Suppose -4*x + 12773 = l - 19420, x - 4*l = 8061. Let t = x - d. Round t to the nearest one hundred. 4200 Let w = 103.02124 + -0.06124. Let d = -2.54 - w. What is d rounded to the nearest 10? -110 Let g = 200798 + -127359. What is g rounded to the nearest ten thousand? 70000 Let h be 24/16*((-1
{ "pile_set_name": "DM Mathematics" }
ich is bigger: 1803 or 1817? 1817 Is 2 less than 444/235? False Do 1/66652 and 0 have different values? True Which is smaller: 24234/43 or 565? 24234/43 Is 23 != -157.23? True Is 5937 > 5927? True Which is smaller: 0.1 or -9265/253? -9265/253 Is -1 smaller than 42/28825? True Is 7 greater than or equal to -744.3? True Which is bigger: 0.08 or 28213? 28213 Is -1/69 > -1140? True Which is smaller: 166.9 or 0.1? 0.1 Which is smaller: -1/87 or -5842? -5842 Do -11754 and -82286/7 have the same value? False Which is bigger: 1032 or 435? 1032 Which is smaller: -19.0132 or 0? -19.0132 Which is smaller: -2909 or -2900? -2909 Are -986 and -1008 nonequal? True Are 1 and -2/26007 nonequal? True Are 414699 and -0.2 unequal? True Which is bigger: 179/2069 or -1? 179/2069 Which is smaller: -1344/37 or -36? -1344/37 Is -164 smaller than -337.7? False Is -1 bigger than -14/157817? False Is -2 < -3062/1689? True Which is greater: -37859 or -37850? -37850 Which is smaller: -230/93 or -2? -230/93 Do 6416 and 6416 have the same value? True Do 2/1109301 and 0 have the same value? False Do 2694 and 2701 have the same value? False Is 15 bigger than 248? False Is -1347647 at least -1347645? False Which is greater: -623400 or -2/3? -2/3 Which is smaller: 8/251301 or -1? -1 Are 237775 and 237775 equal? True Which is smaller: -1 or -1/335753? -1 Is -98085 greater than -98113? True Is 2600344 > -1? True Which is greater: 1 or -15/11996? 1 Is 1 equal to 80/68831? False Which is greater: 124 or 486? 486 Which is smaller: 4222 or 4142? 4142 Is -4251 < -4232? True Which is bigger: -15600 or -15630? -15600 Which is bigger: 1143 or 1173? 1173 Is -3/8 bigger than -24/217? False Which is bigger: 70543 or 70470? 70543 Is -4 <= 688? True Which is smaller: 586 or 548? 548 Which is greater: 0.06 or -2860? 0.06 Which is greater: 0 or -40/5557? 0 Which is bigger: 2 or 1254018? 1254018 Which is bigger: -10246 or -10263? -10246 Which is smaller: -287118 or -1435592/5? -1435592/5 Which is smaller: -37874 or -37873? -37874 Is -146434 at most -146434? True Which is smaller: 3277 or 3270? 3270 Which is smaller: -1221 or -2950? -2950 Is 66973 at most 66974? True Is -14386 less than -14383? True Is -40 > -36631? True Are 1 and -2/85941 unequal? True Is -1 <= -329764? False Which is smaller: -11878 or -11869? -11878 Which is greater: -44/31 or 308? 308 Which is smaller: 3880 or 3806? 3806 Is -5149/199 bigger than -27? True Is -0.1 < -8728? False Is 7/89777 > 1? False Is -5158/77 less than -16? True Which is smaller: -2725 or -2728? -2728 Is -13966 not equal to -13969? True Which is bigger: -1.889 or 0.225? 0.225 Is 5/151 < 324? True Are 19431/4 and 4857 unequal? True Which is bigger: 23/745 or 0.1? 0.1 Which is bigger: -6642/5 or -1329? -6642/5 Are 93/77 and 0.4 equal? False Which is bigger: -1/7811150 or -1? -1/7811150 Which is smaller: -20/16143 or -1? -1 Does 2 = 788425? False Which is smaller: -20873/5 or -4176? -4176 Is 1 at most 43/82623? False Which is smaller: -3401.4 or -0.6? -3401.4 Which is bigger: 67.0283 or 1/4? 67.0283 Which is greater: -2142 or -113604/53? -2142 Which is smaller: 4/15 or -646075? -646075 Which is smaller: -2553 or -2546? -2553 Which is smaller: 618/511 or 0? 0 Which is smaller: -593 or 960/7? -593 Is -4 bigger than 104? False Which is greater: -13561 or -13518? -13518 Is 3163 at least as big as 3166? False Is 6218 bigger than -1/3? True Which is greater: 1.67 or 6157? 6157 Are 108/98179 and 0 non-equal? True Are -1842957 and -1842956 nonequal? True Is -62 at least as big as 244? False Is -308 equal to -26? False Is 50312/13 >= 3871? False Which is bigger: -2.2 or -18425? -2.2 Is 1792221/8 < 224029? True Is -7746 at least as big as -29? False Which is smaller: 67201 or 67205? 67201 Which is smaller: 40488 or -5.4? -5.4 Is -0.04 at least as big as -1299? True Which is smaller: 1872356 or 1872355? 1872355 Which is bigger: 2/3 or -289182? 2/3 Are -27/32 and -224 equal? False Which is smaller: 239312/21 or 11396? 239312/21 Which is bigger: 236762 or 236759? 236762 Is 59030 < 59032? True Which is bigger: 268591 or 268590? 268591 Is -3 at most -0.33925? True Is -214109 equal to -428219/2? False Is 7732/9 at least as big as 859? True Which is smaller: 1138 or 387? 387 Is -718405 less than -2? True Is -6/2221 at least 0? False Are 4141 and -16 equal? False Which is bigger: 14249 or -42? 14249 Do 2/823 and -6/7 have the same value? False Do 72/17383 and 0 have the same value? False Which is bigger: 144/4883 or 1? 1 Which is smaller: 88388 or 88397? 88388 Which is greater: -1 or 15/241984? 15/241984 Is 299830 < 299833? True Which is smaller: -43189/157 or -276? -276 Do -37 and 54025 have different values? True Is 13490543 >= 13490542? True Which is greater: -418/375 or -1? -1 Is -2/5 at least 47/8937? False Is 2/625593 <= -1? False Is 2/23 at most -1076? False Which is smaller: -70233 or 3? -70233 Which is smaller: -16484 or -2/3? -16484 Which is smaller: 0.0707 or -395/3? -395/3 Which is smaller: 0 or 2/37107? 0 Which is smaller: 2646/251 or 11? 2646/251 Which is bigger: -140158 or -140153? -140153 Which is smaller: -13 or -5047/410? -13 Are -7 and -6634/1039 equal? False Which is smaller: 1854 or 1839? 1839 Is -8631 smaller than -8620? True Which is greater: 17283 or 17118? 17283 Is 990831 at most as big as 990831? True Does 6 = 899/158? False Do -1 and 3/81856 have different values? True Which is smaller: 3959 or 2? 2 Is 1.5 smaller than 45.123? True Is 700222 greater than 700215? True Is -776/3327 at most as big as 0? True Does 0 = -5/427? False Which is smaller: 11411 or 27? 27 Is -32766 not equal to -32766? False Which is greater: 73/162 or -1? 73/162 Which is smaller: 3303/2 or 1652? 3303/2 Is 0.06 smaller than 23/720? False Is -5 greater than or equal to -3/193204? False Are -4227/2018 and -3 equal? False Is 242 < 604? True Which is smaller: 2/5 or -15.64952? -15.64952 Is 0 >= -15/58852? True Which is smaller: 20/10811 or 1? 20/10811 Which is bigger: 0.2 or -5.67329? 0.2 Which is bigger: -1 or 78/7153? 78/7153 Is 20 at least 1583? False Which is greater: 46990 or 46974? 46990 Which is smaller: 0 or 30/3871? 0 Which is bigger: 7140534 or 7140535? 7140535 Which is bigger: 3010/163 or 0.05? 3010/163 Is 410155 smaller than 410150? False Which is smaller: 190624 or 762495/4? 762495/4 Which is smaller: -3462 or -3461? -3462 Which is smaller: -180.89 or 14? -180.89 Which is smaller: 1050 or 1199? 1050 Which is bigger: -1/173 or 1476? 1476 Which is bigger: 1/2 or -1/5573? 1/2 Which is smaller: 0.0911 or 264? 0.0911 Is -101553 greater than -203107/2? True Which is bigger: 117 or 89? 117 Is 57876 greater than 57876? False Is -9817 at least -3.2? False Is -380 != -214? True Is -1/3 > 8? False Which is smaller: -1/3128437 or 1? -1/3128437 Which is smaller: -1231126 or -2462249/2? -1231126 Is 1765588 bigger than -2? True Which is smaller: 109 or 11523? 109 Are 1/65049 and 0 equal? False Which is greater: -17175 or -17174? -17174 Is -507/34 at least as big as -16? True Which is smaller: -343 or -2242? -2242 Which is bigger: -6/5503 or 1/4? 1/4 Do 27765 and 27768 have the same value? False Is 418125 at most 418125? True Are 32452/9 and 3607 nonequal? True Is -5/52 greater than 2676? False Which is bigger: -6522 or -24? -24 Are -15/14786 and 1 equal? False Is -4923817 greater than or equal to -4923817? True Which is bigger: -0.3539 or -0.06? -0.06 Which is smaller: -23018 or -22993? -23018 Is 2 greater than 648/725? True Which is smaller: -5/127837 or -1? -1 Is 744 <= 520? False Which is bigger: -3468 or -3473? -3468 Which is greater: -0.5 or 6042? 6042 Which is smaller: 1 or 489/221? 1 Which is smaller: 763 or 242? 242 Is 1862 less than or equal to 1228? False Is -22140 < 0.3? True Which is greater: 9 or -1.297? 9 Is -0.2 greater than or equal to -5.9404? True Is 1 > -1/3680892? True Is -1963 > -1863? False Which is smaller: 41970/49 or 856? 856 Is -20876/365 equal to -56? False Which is greater: -22339 or -7? -7 Which is smaller: -204669 or -204668? -204669 Is 17/64616 equal to -1? False Is 5.3 at least as big as 4/31? True Is 13157 >= 13158? False Which is bigger: 0 or -59223? 0 Which is smaller: -853 or -1011? -1011 Which is greater: -37370 or -37348? -37348 Which is great
{ "pile_set_name": "DM Mathematics" }
onvert 61.23128 days to seconds. 5290382.592 What is four fifteenths of a hour in minutes? 16 What is 48661.68 litres in millilitres? 48661680 Convert 2949.752g to nanograms. 2949752000000 How many decades are there in 18/5 of a millennium? 360 What is thirty-four fifths of a kilometer in meters? 6800 What is 2.031917 grams in milligrams? 2031.917 What is 3/40 of a meter in micrometers? 75000 What is 15372.69ms in microseconds? 15372690 What is 1/5 of a litre in millilitres? 200 Convert 1.8532008 nanoseconds to hours. 0.000000000000514778 How many milliseconds are there in 3/40 of a minute? 4500 What is 2.104333l in millilitres? 2104.333 How many millilitres are there in 1/10 of a litre? 100 What is 9.385349 micrometers in millimeters? 0.009385349 How many nanoseconds are there in twenty-five quarters of a microsecond? 6250 Convert 66217.4 decades to centuries. 6621.74 How many litres are there in 0.1872472ml? 0.0001872472 How many hours are there in 120.2188 weeks? 20196.7584 How many centimeters are there in five quarters of a meter? 125 What is fourty-two fifths of a litre in millilitres? 8400 Convert 1259165.25 milliseconds to days. 0.014573671875 Convert 0.4443971 weeks to days. 3.1107797 Convert 0.717685 millennia to decades. 71.7685 What is 3268.672 days in minutes? 4706887.68 What is 0.2494116 weeks in hours? 41.9011488 What is 1/10 of a day in minutes? 144 What is one fifth of a litre in millilitres? 200 How many microseconds are there in 3/25 of a millisecond? 120 What is twenty-one fifths of a meter in millimeters? 4200 How many grams are there in nine tenths of a kilogram? 900 How many kilograms are there in 403.881 milligrams? 0.000403881 What is 0.7284647 tonnes in nanograms? 728464700000000 Convert 24483.1545 minutes to weeks. 2.428884375 Convert 8967.505 nanograms to grams. 0.000008967505 How many millilitres are there in 3/5 of a litre? 600 Convert 390.9431 millennia to years. 390943.1 What is 29/2 of a minute in seconds? 870 Convert 671108.6 litres to millilitres. 671108600 How many decades are there in 11/2 of a century? 55 What is 68004.98 micrometers in kilometers? 0.00006800498 Convert 443896.1us to nanoseconds. 443896100 Convert 767.1216 hours to microseconds. 2761637760000 Convert 5.180396 millennia to decades. 518.0396 How many nanograms are there in 46.1737mg? 46173700 How many millilitres are there in 3/8 of a litre? 375 Convert 217.0101 days to minutes. 312494.544 What is one tenth of a milligram in nanograms? 100000 Convert 396915.1 decades to centuries. 39691.51 Convert 4.311499s to nanoseconds. 4311499000 What is 96392.46 decades in months? 11567095.2 How many months are there in 5/24 of a decade? 25 How many millimeters are there in 51/4 of a meter? 12750 Convert 4094.513kg to nanograms. 4094513000000000 How many kilograms are there in 29/5 of a tonne? 5800 How many microseconds are there in 530189.5 minutes? 31811370000000 What is twenty-one fifths of a meter in millimeters? 4200 How many microseconds are there in 79568.65 days? 6874731360000000 How many centimeters are there in 0.354972m? 35.4972 What is six fifths of a minute in seconds? 72 How many seconds are there in seven sixths of a minute? 70 Convert 66.49023um to millimeters. 0.06649023 How many weeks are there in 406226.583 milliseconds? 0.0006716709375 What is 239.241276 seconds in days? 0.00276899625 How many months are there in 9509.008 millennia? 114108096 What is 0.6477262 weeks in milliseconds? 391744805.76 How many millimeters are there in 949.9733 nanometers? 0.0009499733 How many litres are there in 80757.66 millilitres? 80.75766 How many minutes are there in 13/12 of a day? 1560 Convert 5350.48 centimeters to kilometers. 0.0535048 Convert 2.799197 millennia to months. 33590.364 Convert 2.333016 seconds to weeks. 0.0000038575 How many millilitres are there in 5.82469l? 5824.69 What is 7247.409 millilitres in litres? 7.247409 Convert 778.0596 weeks to days. 5446.4172 How many nanoseconds are there in 0.8734784 weeks? 528279736320000 Convert 233761.5ms to hours. 0.06493375 What is 1719.079 litres in millilitres? 1719079 How many millilitres are there in twenty-seven fifths of a litre? 5400 What is one quarter of a gram in milligrams? 250 What is one quarter of a kilometer in meters? 250 Convert 4.71041 micrometers to meters. 0.00000471041 What is 15887.01l in millilitres? 15887010 What is 51.524712 seconds in hours? 0.01431242 How many centuries are there in 4990.83 years? 49.9083 How many microseconds are there in 7105.619 days? 613925481600000 What is 5/24 of a decade in months? 25 Convert 45927.72l to millilitres. 45927720 What is 1/10 of a week in minutes? 1008 What is 694613.9ug in kilograms? 0.0006946139 How many milligrams are there in 18/5 of a gram? 3600 How many months are there in 9/10 of a millennium? 10800 How many millimeters are there in twenty-seven halves of a meter? 13500 What is 8800.198l in millilitres? 8800198 What is 94.16225 millilitres in litres? 0.09416225 What is 18046.09 millimeters in micrometers? 18046090 How many litres are there in 4010.012ml? 4.010012 Convert 46.66007 nanoseconds to milliseconds. 0.00004666007 How many milligrams are there in nine tenths of a gram? 900 Convert 54217.71km to millimeters. 54217710000 What is eighteen fifths of a kilogram in grams? 3600 How many nanometers are there in 0.289727 kilometers? 289727000000 How many micrometers are there in one tenth of a meter? 100000 What is thirty-seven halves of a micrometer in nanometers? 18500 Convert 0.7777756 years to millennia. 0.0007777756 How many months are there in seven sixteenths of a millennium? 5250 How many years are there in one quarter of a millennium? 250 Convert 577.6107nm to millimeters. 0.0005776107 What is twenty-five quarters of a millennium in decades? 625 How many seconds are there in three sixteenths of a day? 16200 How many nanometers are there in eighty-seven halves of a micrometer? 43500 What is 574.4253 millilitres in litres? 0.5744253 Convert 526.4397ms to minutes. 0.008773995 What is fourty-three halves of a microsecond in nanoseconds? 21500 Convert 0.2223073 litres to millilitres. 222.3073 How many nanograms are there in 10682.9ug? 10682900 Convert 0.3466556ml to litres. 0.0003466556 How many millilitres are there in 92101.43 litres? 92101430 What is one quarter of a litre in millilitres? 250 How many micrograms are there in thirteen fifths of a milligram? 2600 How many hours are there in 81/4 of a week? 3402 Convert 8642.983mg to micrograms. 8642983 What is 5.35807 millennia in months? 64296.84 Convert 599531.3l to millilitres. 599531300 Convert 6531.513 millennia to years. 6531513 How many grams are there in 0.76806ng? 0.00000000076806 What is 919578.3g in micrograms? 919578300000 How many micrograms are there in one sixteenth of a gram? 62500 How many decades are there in fourty-two fifths of a century? 84 How many days are there in 170.118 hours? 7.08825 What is twenty-five quarters of a microsecond in nanoseconds? 6250 Convert 800.6079m to kilometers. 0.8006079 What is 5/4 of a millimeter in micrometers? 1250 What is 6.933643 decades in centuries? 0.6933643 Convert 673502.5t to micrograms. 673502500000000000 What is 5/8 of a meter in millimeters? 625 How many nanograms are there in fourty-two fifths of a microgram? 8400 What is thirteen fifths of a meter in centimeters? 260 How many seconds are there in 32/9 of a hour? 12800 What is 21/2 of a micrometer in nanometers? 10500 How many millilitres are there in 3/8 of a litre? 375 Convert 1.581409 years to months. 18.976908 Convert 1178339.1 months to millennia. 98.194925 How many hours are there in 3/8 of a day? 9 What is 67/4 of a litre in millilitres? 16750 How many years are there in 44768.43 months? 3730.7025 How many milliseconds are there in 40.04966 days? 3460290624 How many centimeters are there in twenty-one fifths of a meter? 420 How many months are there in sixty-nine halves of a century? 41400 How many centimeters are there in 8/25 of a kilometer? 32000 How many hours are there in 1/6 of a day? 4 What is fifty-nine fifths of a kilogram in grams? 11800 How many grams are there in 1/10 of a kilogram? 100 Convert 7597.903ml to litres. 7.597903 Convert 0
{ "pile_set_name": "DM Mathematics" }
*g, q = -4*g + 3*g - 1. Is (-2)/(-15) - d/60 a multiple of 20? True Suppose -l - 18 = -7*l. Is (((-28)/l)/(-1))/((-68)/(-1326)) a multiple of 13? True Suppose 407 - 8115 = -82*k. Let i be 1 - 72 - (-2 - -1). Let h = i + k. Is 3 a factor of h? True Is 4 a factor of (-20 + 16)*(2 - 454)? True Let m(g) = -97*g - 1470. Does 4 divide m(-25)? False Let x(s) = 3*s**2 + 4. Let w be x(2). Suppose -4*i = -0*i + w. Does 14 divide (-3)/28*i - 137/(-7)? False Suppose -4*d + 24 = -4*t, -4*t - d + 2*d = 18. Let i be (-3 + 1 - -10) + t. Suppose i*m - 27 = -4*o - 3, -2*m + 10 = o. Is m a multiple of 2? True Let b(d) = -106*d - 80. Let k(n) = n - 2. Let s(x) = b(x) - 6*k(x). Is s(-4) a multiple of 78? False Let z be 2/(-2)*(-11 - -2). Suppose z*l + 2 = 10*l. Suppose l*k - 88 = 32. Does 7 divide k? False Let f(g) = -5*g - g**2 + 5*g - 9*g + 3. Does 5 divide f(-4)? False Let c be ((-770)/105)/(2/54). Does 33 divide c/(2*2/(-4))? True Let u(y) = -35*y + 263. Is u(-15) a multiple of 24? False Suppose -42*k + 232117 + 161255 = 7*k. Is k a multiple of 223? True Let s = -112 - -48. Let d = s - -56. Does 3 divide -90*(1 - d/(-6))? True Let s = 322 + -300. Is (-2)/s*1 + (-896)/(-176) a multiple of 5? True Suppose 0 = 5*j + 2*v - 33, 3*v = 4*j + j - 13. Suppose -2*b - 265 = -7*b + j*r, 0 = r + 5. Is 7 a factor of b? False Let j = -971 + 2211. Suppose 5*c = 3*k + j, 4*k - 371 = -c - 146. Is 9 a factor of c? False Let p(v) = 8*v**2 + 37*v + 18. Let z be p(-8). Does 25 divide ((525/(-9))/7)/((-2)/z)? True Let y = 4277 - 2149. Does 8 divide y? True Is 0/(-7) - (-20112)/4 a multiple of 81? False Let h(v) = -2*v**2 + 2*v + 2. Let g be h(0). Let u(y) = -2*y**2 + y**2 - 24 + 7 + 2*y**g. Is 13 a factor of u(6)? False Is 43 a factor of ((-7518)/4)/((3/(-7))/((-620)/(-217)))? False Suppose a - 4*p = 7414, 0 = -5*a - 18*p + 14*p + 37142. Is 79 a factor of a? True Suppose -86*m + 59*m = 162. Is 5 a factor of (8740/(-24))/19*m? True Let w(i) = -2*i**2 - 8*i - 5. Let o be w(-1). Is 34 a factor of -1 + 4 - (-430*o + -4)? False Let l = -709 - -664. Is 5 a factor of (-664)/(-20) + 54/l? False Suppose -5*r = -4*p + 11899, 5*r + 5602 = 2*p - 355. Suppose -3*d = q - p, 3*d + 4*q - 878 = 2096. Is d a multiple of 15? True Let q = 4652 - -1900. Does 156 divide q? True Let s be (-7752)/(-285)*(-10)/(-4). Suppose y + 0*y - 5*t - s = 0, 0 = -5*y - t + 444. Does 3 divide y? False Suppose 2*b = -41*s + 37*s + 93040, 8 = b. Is s a multiple of 152? True Let s(j) = 4*j + 60. Let i be s(-14). Suppose 2*k + 7 = -3, 0 = -i*u - 5*k + 1863. Is 11 a factor of u? False Suppose d + 3*h - 21 = 0, 0 = 4*d - h + 3 - 113. Suppose 10*m - 193 - d = 0. Suppose 27*n = m*n + 835. Is 26 a factor of n? False Suppose -3*k + 4*g = -4851, -35*k - 6*g + 8085 = -30*k. Is k a multiple of 33? True Suppose -125263 + 17796 - 139637 = -24*d. Does 88 divide d? True Let i(r) = -3*r**3 - 9*r**2 + 85*r + 19. Is i(-18) a multiple of 83? False Suppose 3*y - 6*y = -0*y. Suppose -1 + y = -c. Is 1 - (-1 - 15/c) a multiple of 3? False Suppose -16*y + 131192 = 21*y - 33*y. Is y a multiple of 44? False Let y be 3/2*(-17 + -71). Let t = y - -333. Is t a multiple of 12? False Suppose h - w + 5 = 2, -5*w = 5*h - 15. Let p be h + 0 + (-5 - -3 - -2). Suppose 0 = 8*k - p*k - 192. Is 12 a factor of k? True Let i(b) = -b**2 + 41*b - 223. Let t = 539 - 505. Is 10 a factor of i(t)? False Suppose 54 - 470 = 8*z. Is (z/(-7))/(38/133) even? True Suppose 2*j + 12 = 3*x - 88, j - 2*x = -49. Suppose -101 = -5*c - 566. Let l = j - c. Does 8 divide l? True Let y(u) = 28*u - 11 - 16 - 24 + 7. Is y(15) a multiple of 39? False Let h(s) = 15*s**2 - 52*s**2 - 2 + 8*s + 36*s**2 + 15*s**2. Is 16 a factor of h(3)? False Let t(q) = 8*q**3 - 26*q**2 + 33*q - 24. Is 8 a factor of t(7)? False Let j(c) = -c**2 + 53*c + 285. Is 4 a factor of j(30)? False Let j = 83903 + -39353. Does 15 divide j? True Suppose -2*b + 5*y + 34 - 10 = 0, b + 14 = -4*y. Let p(q) = -6*q**3 + 4*q**2 - 4. Let z be p(b). Let v = z + 198. Is v a multiple of 22? False Let c(y) = 726*y**2 - 19*y - 6. Does 20 divide c(-6)? False Suppose -152505 = -6*a + 94545. Is 18 a factor of a? False Suppose 1 = -f + 6. Suppose 4*p - 2*b - 2 = -22, 2*b + 25 = -f*p. Let v = 75 + p. Is 11 a factor of v? False Let m(g) = -4*g - 17. Let d be m(-6). Let r(a) = a**3 - 6*a**2 - 5*a - 9. Let c be r(d). Suppose -5*b = q + 2*q - 422, -c*b + 421 = 4*q. Is b a multiple of 21? False Let s be 18/10 + 2/10 + 0. Suppose -6*a = -2*a + 5*i - 615, -345 = -s*a + 5*i. Is a a multiple of 18? False Suppose 6*d - 110 = -5*d. Let g = -5 + d. Suppose 0 = 4*f - g*b - 890, -b - 673 = -f - 2*f. Is 25 a factor of f? True Let o(d) = 21*d + 1467. Is o(-47) a multiple of 6? True Let w = 464 + -3503. Let p = -1689 - w. Is p a multiple of 75? True Suppose 3*n = 4*v - 442, 2*v - 282 = 3*n + 164. Is 27 a factor of (2 - -7)/(2 - (-295)/n)? True Let f = -3707 + 3712. Let n(w) = 4*w**2 + w + 3. Let a be n(6). Suppose -2*t + u + 149 = 3*t, f*t = -3*u + a. Does 6 divide t? True Is (12513/873)/(2/1836) a multiple of 86? True Let i(y) = -2*y**3 - 3*y**2 - 3*y + 3. Let o be ((30/25)/(-2))/((-2)/(-10)). Is i(o) a multiple of 22? False Suppose 3 = 19*y - 22*y. Let i be (2 + y + 10)/(2/134). Suppose 4*w + 113 = i. Does 12 divide w? True Suppose -15*w - 23652 = -86652. Does 30 divide w? True Let b(z) = z**2 + 147*z - 4872. Is 9 a factor of b(92)? False Let s(n) = 206*n**2 + 76*n - 706. Is s(11) a multiple of 48? True Let a(n) = 2*n**2 + 6*n - 3. Let v be a(-4). Suppose l + 931 = v*p + 2*l, l = p - 191. Is p a multiple of 11? True Let k(f) = -2*f**3 + 103*f**2 + 32*f + 20. Does 160 divide k(30)? True Let i = 168 - 61. Suppose -2*r = -25 - i. Is r a multiple of 11? True Suppose 3*p - 5*b = -0*p - 103, 2*b = 3*p + 97. Let n = 124 - p. Does 5 divide n? True Let s = 8608 + -7455. Does 10 divide s? False Let m(n) = 8*n - 4*n + 6*n + 14*n. Suppose -3*r + 5*o + 3 = 5, -2 = -3*r + 4*o. Is 36 a factor of m(r)? True Suppose -295*p = -306*p + 129030. Does 51 divide p? True Let g = 18 - 14. Let s be (g + 14/(-4))*-62. Let r = s - -51. Is 20 a factor of r? True Suppose 3*x - 4*n - 66 = 0, 2*x + 44 = 4*x + 3*n. Let f(r) = 7*r + 150. Is 11 a factor of f(x)? False Let f = 19 - 15. Suppose -q - 279 = -3*u, 3*u - 4*q - 359 = -71. Is 19 a factor of u/36*39 - f/6? False Suppose 499 = 5*o + 4*b, -5*o = b - 3*b - 523. Is o a multiple of 4? False Suppose -13*n = -8*n - 20. Suppose 0 = u - 5*c - 64 - n, -u - 3*c = -52. Is u a multiple of 21? False Let t = -7359 - -10694. Is t a multiple of 15? False Let s = 126 - 132. Is 320/56 + s + 268/7 even? True Let a(g) = g**3 - 4*g**2 - 10*g - 3. Suppose 3*q + l - 16 = 2, 0 = q + 5*l - 6. Let j be a(q). Let s(n) = n**3 - 7*n**2 - 11*n + 17. Does 10 divide s(j)? True Suppose -6477 = -2*n - 4*y + 4707, 0 = -n - 3*y + 5592. Is 12 a factor of n? True Suppose 297493 = 38*c - 639131. Is c a multiple of 237? True Suppose 0*g + 21 = 2*y - g, -5*y = -3*g - 54. Let c(i) = 27*i - 34. Let r be c(y). Let f = -19 + r. Is 25 a factor of f? False Suppose -4*d = f - 9, 0 = 5*f - 5*d - 8 - 62. Suppose 3*x = -14*l + f*l + 65, x + 5*l - 3 = 0. Is x a multiple of 2? False Let x be -22 - -22 - (12/2 + -2). Does 9 divide (-740)/x - 4*4/(-16)? False Let r(m) = -m**3 + 19*m**2 - 9*m + 34. Let t be r(18). Let w be t/91 - 2 - (-602)/(-26). Let l = w + 281. Is 43 a factor of l? True Suppose 44 - 227 = -3*r. Suppose -57*o + r*o - 468 = 0. Does 26 divide o? False Let l(r) = -4*r - 7. Let i = 11 - -4. Suppose -2*z - 3*z + 45 = -2*b, 0 = -3*z + i. Is 10 a factor of l(b)? False Let s(t) = t**3 + 8*t**2 + 6*t + 7. Let r be s(-7). Suppose r = l - b, 3*l - 46 = -0*b + 2*b. Suppose 4*d + 19 = 5*d - c, 2*d - l = -3*c. Is 3 a factor of d? True Suppose 13*m - 16*m - 12953 = -t, 0 = 4*m + 4. Is t a multiple of 47? False Suppose 0 = -0*g + 3*g. Suppose g = 3*w - 5*w. Suppose -m + 19 = -w. Does 4 divide m? False Let r = -650 + 61. Let q = r - -858. Is 20 a factor of q? False Suppose 0 = 35*j - 44*j + 146025. Does 128 divide j? False Let g = 3831 + -1374. Is g a multiple of 9? True Suppose 0*d = d - 25. Let i = d - -26. Let h = 112 - i. Is 13 a factor of h? False Let i(l) = 26*l - 20*l + 10*l**2 + 2 + 7. Is 18 a factor of i(-4)? False Let m(n) = 1041*n + 521. Is m(6) a multiple of 61? Fa
{ "pile_set_name": "DM Mathematics" }
*(8/9))**13 assuming x is positive. x**(-10469/45) Simplify ((d**1/d)**(-2/79)/(d**(-1/2)*d**6*d))/((((d**(2/13)/d)/d*d)/(d/(d*(d/d**9)/d)))/((d/d**(-1))/d**(-2/5))) assuming d is positive. d**(747/130) Simplify ((l*l**1*l)**(2/17))**(-1/2)*(((l/(l/(l*(l/(l**(1/2)*l))/l*l)))/l)/l*l*l)**(6/25)*l*l/(l*(l*l**(1/4))/l*l)*l*l*l**(-3/7) assuming l is positive. l**(15053/11900) Simplify ((j*j**(-1/43))/j)**(1/9)/((j*((j/j**28)/j)/j)/(j/j**33)) assuming j is positive. j**(-1549/387) Simplify (((y**5*y)/y)/(y/(y*y*y**(-2/47)*y)*y))/((y*y**(2/13))/(y*y**(-2/41))) assuming y is positive. y**(144164/25051) Simplify ((u**(-2/3))**(-20)/(u**(-8)*u**20*u))**12 assuming u is positive. u**4 Simplify ((b**(-2)/b*b)/b**(8/5))/(b**0)**(8/17)*b**(-2/25)/b*b/((b/b**4)/b)*b**(1/3)/(b/(b*b*((b**(-3)/b)/b)/b*b*b)) assuming b is positive. b**(-176/75) Simplify b**2/(b*b*b**(-2))*b**(-1/7)/(b*b**1)*(b**(1/4)*b*b*b)**(2/5)/((b/(b*b/(b/b**(5/2))))/b*((b*b*b**(-6)*b)/b)/b) assuming b is positive. b**(338/35) Simplify ((h*((h*h**(-2/5))/h*h)/h*h)**23)**(-19/4)*(h/(h**(6/5)*h))/h*h*(h/h**5*h)/h*(h*(h/(h*h**(-1))*h)/h)/(h*h/(h**(2/19)*h*h)) assuming h is positive. h**(-3380/19) Simplify ((c**(-2))**(-6))**13/((c/c**(-1/4))**36/(c**1*c*c**(2/9)/c*c)) assuming c is positive. c**(1019/9) Simplify (((a*a/a**(-13))/(a**(-4/5)/a))/(a**(-2/7))**(-30))**28 assuming a is positive. a**(1152/5) Simplify (((t*t*t**14)/t)/((t/(t/(t**13*t)*t))/t)*(t**2)**(-3))**(-1/2) assuming t is positive. t**(3/2) Simplify (((s/((s/s**(-1/2))/s))/s**(1/4))/(s/s**(1/11)*s*(s*s**(2/21)*s)/s))/((s**(3/4)*s)/(s*s**1)*s**(1/2)*s*s**6) assuming s is positive. s**(-2311/231) Simplify ((w**4*w**5*(w**(1/5)/w)**4)**0)**(-12) assuming w is positive. 1 Simplify ((((g/g**(5/4))/g)/g)/(g*(g/g**(-7))/g*g*g))**(2/97)*(g**(-4)/g**7)/(g**0)**(-21/5) assuming g is positive. g**(-2183/194) Simplify ((i*i/(i**43/i*i)*i)/i*i/(i*i**(-12/13))*(i**(3/31)/i*i)**(-41))**(-31) assuming i is positive. i**(17750/13) Simplify ((i*i**(3/8))/i**(-1))**(11/4)/(i*i**(-4)/i*i**(-1/3)*(i**(-1))**(-34)) assuming i is positive. i**(-2221/96) Simplify ((h*h**7)/h**(-1/2)*(h/h**(3/2))**29)**(1/9) assuming h is positive. h**(-2/3) Simplify z**(8/5)/(z**(2/41)*z)*z*z/(z**(1/15)*z*z*z)*z*z*z*(z/((z/(z*z/z**10*z))/z))/z assuming z is positive. z**(-2777/615) Simplify y/y**(-9)*y*y**(1/3)*(y**(-1))**(-2/41)*((((y/y**2*y)/y*y)/y)/(y/(y*y*y*(y*y*y**(-3))/y)))**(-12/7) assuming y is positive. y**(11276/861) Simplify (x**10*x**(2/3)*x/x**(1/3)*x**(-18/5))**(2/63) assuming x is positive. x**(232/945) Simplify (((t*t/((t/(t*t**(-1)))/t))**9/(t**(1/5)/t**1))**5)**(-1/12) assuming t is positive. t**(-47/6) Simplify ((d**(-4/3)/d)/(d**(1/3)/d)*(d**(-1/2))**(-32))/((d**(-2/7)/d)**(6/13)/(d*d**1*d)**(-35)) assuming d is positive. d**(-24590/273) Simplify (a**(1/2)/(a**6/a)*a**(3/7)/a*a*a**0)/(a**(-4)/a*a*a*a*a/(a*a*a*a**(1/3)*a)*a)**(-2/17) assuming a is positive. a**(-3271/714) Simplify ((k/(k*k**(-7))*k)/((k**5*k)/k)*(k*k*k**(-7/4)/k*k)/(k**(-4/5)/k))/((k**(1/2)/k)**(-13)*(k**(1/4)*k*k)**30) assuming k is positive. k**(-1379/20) Simplify (((p/p**0)/p*p)/p)/p**(4/7)*(p/p**(1/3))/(p/p**(-4/7)*p)*((p*p/p**(-3))/(p**(-5)*p*p))/((p**3/p)/p*p/p**(-2/3)) assuming p is positive. p**(20/7) Simplify ((b*b**(-2/123))/b**(-1/10))/((((b/((b*(b*(b*b**(2/107))/b)/b)/b))/b)/b)/((b*b*(b*b**(-6))/b)/b)) assuming b is positive. b**(-381349/131610) Simplify ((w*w*w*w**6*w**0)/(w**(-1/9)/(w**(-3/7)*w)))/(((w*w**(-1/4))/(w/(w*w**(-3/7))*w))/(w**0)**(-6/11)) assuming w is positive. w**(373/36) Simplify ((g**(-2)*g)/g**(-4))/(g**(-3)/(g/(g/g**(-8))))*(g/g**(1/4))**(-20/7)/(g**(-1/2))**(-3/7) assuming g is positive. g**(-61/14) Simplify (q**(-11)*q*q**(-13)/q*(q**(-2/7))**(-41))**(-34/7) assuming q is positive. q**(2924/49) Simplify ((j/j**8*j*(j**25/j*j)/j)/((j*j**4*j)/j*j/(j**5*j)))**(-1/33) assuming j is positive. j**(-6/11) Simplify ((b**1)**13*((((b/(b*b**(-3/2)))/b)/b)/b)/b**(-2/11))/((((b*b*b**(-3/7)/b*b)/b)/b)/((b**(-4)*b)/b*b*b))**(1/4) assuming b is positive. b**(3477/308) Simplify ((y*y**(3/5)*y)**(-13))**34*y/y**3*y*(y/y**(2/3))/y*(y**(-1/2)/y)**(21/2) assuming y is positive. y**(-69997/60) Simplify (j/j**(2/5)*j*j*j*j*j**(1/7)*j*(j/((j*j*j**1)/j))**(-37))/((((j/(j*j**(2/7)*j))/j*j)/j)**(-6))**(-2/77) assuming j is positive. j**(116152/2695) Simplify b**(-3/5)*b/b**(-5/3)*b*(b**2)**28*(b/(b/(b**(-2)/b)))**9/(b**(-3)*b*b**(-8)/b) assuming b is positive. b**(646/15) Simplify (m**(-1/2))**18*(m*m**(-1/4))**(-4/11)*((m*m**(-2)/m)/m**5)**25 assuming m is positive. m**(-2027/11) Simplify (((r**(-6)*r*r)/r)/((r*r*r**6)/r))/(r*r**0)**(1/15)*(r**(-2/15)/(r/(r*r**4)*r))**(2/15) assuming r is positive. r**(-2629/225) Simplify (c**(-2/15)/((c/(c*c/c**(-8)*c*c))/c))/(c**1/c)**15*(c*c*c*c**(-1/3))/c**(2/7)*(c/c**(-1/3))/(c**(-2/11)*c) assuming c is positive. c**(17051/1155) Simplify (i**(-3)/i*i/(i/(i/i**6))*i*i*(i**(-1/2))**(1/4))/(((i*i*i**(-6)*i)/(i**(-2/9)*i))/(i**(-1/3))**(-11)) assuming i is positive. i**(23/72) Simplify ((h/(h**(3/2)*h)*h)/(h*h*h**(1/3)))**(-6/7)/(((h**0*h)/h*h*h)**(4/21))**(7/8) assuming h is positive. h**(44/21) Simplify (c**(-10)/c**(1/4))**15/((c**(-1/2))**(-11/5)/(((c**1*c)/c)/c*c)**9) assuming c is positive. c**(-2917/20) Simplify ((l/(l/l**(-2/3))*l)/((l*l/((l*l**(-2/7)/l)/l*l)*l)/l))**(-4)/((l*l/l**(-3)*l*l*l**(6/5))/(l/((l/(l/(l*l*l**(-1))))/l*l))**50) assuming l is positive. l**(-41/105) Simplify ((n**(3/4))**45)**19*((n*n*(n*(n*n/(n**(-2/13)*n))/n*n)/n)/(n/n**(1/5)))/(n*n**(1/2)*n)**(-3/5) assuming n is positive. n**(167727/260) Simplify (((s*s*s/s**1)/s)**17/(s**(-6)*s*(s*s/(s/s**3)*s)/s))/(s**(2/3)/((s*s**3*s*s)/s)*s**3*s**(-1/2)) assuming s is positive. s**(119/6) Simplify (w**(1/9)/(w*w**33*w*w)*((w**(-5/2)*w)/w*w)**(-17))**31 assuming w is positive. w**(-5797/18) Simplify ((l*l/l**(2/5))**(4/5)*(l/(l*l**0))**(-4/15))/((l**(1/6)/(l*l*l*(l/l**(-7))/l*l))/((l**(-2/11)*l)/l**(-1))) assuming l is positive. l**(22987/1650) Simplify (l/(l*l**(-2/5)))**(-2/71)*(l*l**6*l)/(l**4/l)*((l/(l/(l/(l/(l**(3/4)*l)*l))))/l)/(l**4/l)*(l**2)**(1/34) assuming l is positive. l**(43393/24140) Simplify (i**(1/4))**(10/7)*(i**(-2/9))**25*i**8/i**(1/9)*(i**(-5)/i*i)/i*i/(i*i*i**4*i) assuming i is positive. i**(-391/42) Simplify ((f*f**11*f)/f)/(f**(12/5)/f)*(f**(4/3)*f)/(f/f**17) assuming f is positive. f**(434/15) Simplify (g**(-1/2))**(2/115)/((g**(3/4)/g)/g**1)*g**(-2)/g*g*g**(-4/5)*(g*g**1*g)/(g/(g*g**5*g)) assuming g is positive. g**(3423/460) Simplify (o*o*o*(o/o**(-2/7))/o)**(-17)/((o*o/o**5)/(o/(o**(-2/3)*o)))*((o**(-1)/o)/(o/o**7))**(-3) assuming o is positive. o**(-1348/21) Simplify ((j*j**(2/31)*j/(j/(j/j**(-1/2))))/(j/j**15)**2)**47 assuming j is positive. j**(89065/62) Simplify (y**(2/3)*y**(2/33)*(y*y**(-4/9))**31)**(-22) assuming y is positive. y**(-3554/9) Simplify (j/(j*j**(4/7))*j*((j/(j*j**(-1/4)*j))/j*j)/j*(j**(1/2))**(-23))/((((j/(j*j**(2/3)))/j)/j*j**1)/((j**1/j)/((j/j**(2/5))/j*j))) assuming j is positive. j**(-4937/420) Simplify (((d**(-1/25)*d)/(((d/(d*d/(d/(d/d**(-23)))*d))/d)/d))**(34/3))**0 assuming d is positive. 1 Simplify ((n**(1/7))**(-29)/((n/n**19)/n)**(-12))**16 assuming n is positive. n**(-26000/7) Simplify (((q/(q*q**(-1)))**28/(q**(-2/7))**1)**39)**32 assuming q is positive. q**(247104/7) Simplify (((r/(r/r**(2/17)))/r)**(-28)/(r*r**23*r/(r**(-7/9)/r)*r))**39 assuming r is positive. r**(-6110/51) Simplify (((j/j**5*j)/(j/(j/j**3)))/(j/(j*j/j**13*j)*j**9))**(-17) assuming j is positive. j**442 Simplify (n**5/(n/n**(3/8)))/((n/(n*n**0)*n)/n)**(9/8)*(n/n**8*n**(-9))**(-1/3) assuming n is positive. n**(233/24) Simplify (b/(b*b**(1/4))*b**9*b*b**14/b**(1/2))**(-1/19) assuming b is positive. b**(-93/76) Simplify (((g*g**1/g)**9/(g*g**3)**(2/3))**(18/7))**(-16) assuming g is positive. g**(-1824/7) Simplify (k/(k**(2/3)/k))/k**0*(k/(k**4*k)*k)/(k**(-3/5)*k)*k**(-6)/k**(2/11)*((k*k**3)/k)/((k**4/k*k)/k) assuming k is positive. k**(-1361/165) Simplify (p*p*p**(-1/2))**(-10)*p*p*p**(-2/7)*p**(-2/3)*(p**0*p*p/p**3)**(-38) assuming p is positive. p**(505/21) Simplify ((j/(j**(2/9)*j)*j*(j**5*j)/j*j)/(((j**10*j)/j)/((j*j*j*j**(-12/7))/j)))**30 assuming j is positive. j**(-1850/21) Simplify ((b*b*b/(b**(3/8)*b*b)*(b*b**(3/13))/b)/((b/(((b/((
{ "pile_set_name": "DM Mathematics" }
Let c be ((-9)/27)/(2/(-42)). What is the derivative of -c*x**4 + 0*x**4 - 9 - 1 - x**4 wrt x? -32*x**3 Let q(x) = -11*x**3 - x**2 - 5*x. Let c = -4 - 1. Let y(k) = -17*k**3 - 2*k**2 - 8*k. Let u(g) = c*y(g) + 8*q(g). What is the third derivative of u(b) wrt b? -18 Let y(u) = 29*u**3 + 6*u**2 - 5*u + 6. Let h(n) = n**3 + n**2 - n + 1. Let b(t) = -6*h(t) + y(t). Find the second derivative of b(j) wrt j. 138*j Find the third derivative of -7*a**5 + 4*a**2 - 10*a**2 + a**2 wrt a. -420*a**2 Suppose -3*n - 2*n - 45 = 0. Let g be 2 + (-4)/(12/n). Find the third derivative of 3*y**5 - 2 + g - 2*y**2 - 3 wrt y. 180*y**2 Let c(d) be the third derivative of d**6/30 - d**4/24 - d**2. What is the second derivative of c(z) wrt z? 24*z Let v = 3 - 6. Let q = 5 + v. What is the third derivative of 4*s**5 - 2*s**5 + 3*s**q - s**5 wrt s? 60*s**2 Let f = 53 + -37. Suppose -3*k - 2*c = -14, -5*c + c + f = 0. Find the third derivative of 3*x**2 + 2 - 2 - 4*x**3 + k*x**3 wrt x. -12 Differentiate -2*x**4 + 9*x**4 + 64 + 8*x**4 - 56 wrt x. 60*x**3 Let k = 16 + -11. What is the second derivative of -4*i - 7*i + 9*i - 2*i - k*i**5 wrt i? -100*i**3 Differentiate -3*p**2 + 4*p**2 - 14 + 9 + 0*p**2 with respect to p. 2*p Let f(a) be the first derivative of 3*a**2/2 - 14*a + 13. Differentiate f(h) wrt h. 3 Let g(h) be the first derivative of h**4/4 + h**3 + 6. Find the third derivative of g(f) wrt f. 6 What is the second derivative of -1 + 2*o - o**3 + 3*o**3 - 6*o**2 - 7*o - 18*o**2 wrt o? 12*o - 48 Let f = 1 + 1. Let r(a) be the first derivative of a**3 + 0 + a**2 + 4 - 5 - 2*a**f. Find the second derivative of r(u) wrt u. 6 Let t(a) be the first derivative of 3*a**6/2 + a**2/2 - 5. What is the second derivative of t(i) wrt i? 180*i**3 Let h(d) be the third derivative of -d**6/120 - 7*d**5/30 + 2*d**2. What is the third derivative of h(l) wrt l? -6 Suppose -5*h + d + 0*d + 21 = 0, -2*h + 9 = -d. Find the second derivative of -191 + 191 + 3*m**h + m wrt m. 36*m**2 Let r be (2 - (-21)/15) + 33/55. Let k(x) be the first derivative of -3/4*x**r + 0*x**2 - x**3 - 3 + 0*x. What is the third derivative of k(u) wrt u? -18 Let g(s) = -5 - s**4 + 6 + 5*s**2 - 7*s + 4. Let m(c) = 2*c**4 - 7*c**2 + 11*c - 7. Let z(n) = -7*g(n) - 5*m(n). Find the second derivative of z(l) wrt l. -36*l**2 Let d be ((-4)/(-10))/(2/30). Let r = -3 + d. Differentiate 2 - 4*s**3 + 0*s**r + 0 + s**3 with respect to s. -9*s**2 Let l be 8/(-68) - (-14)/119. Let y(q) be the second derivative of l + 0*q**3 + 0*q**2 + 1/6*q**4 + 4*q + 1/5*q**5. Find the third derivative of y(z) wrt z. 24 Let l(g) = 26*g**3 - 3*g**2 + 3*g + 9. Let b(x) = -155*x**3 + 17*x**2 - 17*x - 55. Let p(f) = 6*b(f) + 34*l(f). Find the first derivative of p(v) wrt v. -138*v**2 Let t be -3*(-3 + (-44)/(-12)). Let x(m) = 7*m + 6. Let i(d) = d + 1. Let a(h) = t*i(h) + x(h). What is the first derivative of a(y) wrt y? 5 Let m = 2/39 + 23/312. Let i(c) be the third derivative of 0*c + 0 + m*c**4 - c**2 + 1/6*c**3. What is the first derivative of i(b) wrt b? 3 Let a(d) = 9*d - 5. Let r(n) = -26*n + 16. Let g(i) = 8*a(i) + 3*r(i). Differentiate g(k) wrt k. -6 Let s(i) = -i - 5. Let v be s(-8). Find the third derivative of d**2 + 7*d**2 - v*d**2 + d**3 wrt d. 6 Let j(p) be the first derivative of 3 - 2*p**2 - 5/4*p**4 + 0*p**3 + 0*p. Find the second derivative of j(l) wrt l. -30*l Let y = -6 - -10. Find the second derivative of -n**y + 3*n**3 - 3*n**3 + 2*n wrt n. -12*n**2 Suppose p = 4*p - 9. Suppose 0 = -3*v + v + 6. What is the third derivative of v*t**2 - 12*t**4 - p*t**5 + 12*t**4 wrt t? -180*t**2 Let k(h) = h + 9. Let b be k(-7). Let t be 8/2 + b/(-1). What is the second derivative of -2*s + 2*s**t + 0 + 0 wrt s? 4 Let h(d) be the third derivative of -d**6/60 + d**5/60 + 2*d**2. What is the third derivative of h(j) wrt j? -12 Let b be (2/(-14))/(6/7)*-1. Let h(q) be the second derivative of 0*q**2 + b*q**4 + 2*q + 1/6*q**3 + 0. What is the second derivative of h(t) wrt t? 4 Suppose 16 = r - 4*i, 6*r - i = r + 23. What is the second derivative of -5*l - 2*l**4 + 2*l**4 + l**r wrt l? 12*l**2 Let t(k) = 1 + 5*k**3 + 2 - 4*k**3 - 1 + k**2. Let v be t(0). Find the second derivative of s**2 + 0*s**2 + v*s - 4*s**2 + s**2 wrt s. -4 Let f(w) be the first derivative of -43*w**5/5 + 45*w + 25. Find the first derivative of f(i) wrt i. -172*i**3 Let q(j) be the first derivative of 0*j - 5/4*j**4 - 4/3*j**3 + 5 + 0*j**2. What is the third derivative of q(f) wrt f? -30 Suppose 10 + 0 = 5*p. Let v = 3 - p. What is the first derivative of -y**2 + v + 6*y**2 - 3*y**2 wrt y? 4*y Let m(h) = -15*h**4 + 4*h**2 - 3. Let w(v) = 15*v**4 - 3*v**2 + 2. Let t(r) = 2*m(r) + 3*w(r). What is the third derivative of t(g) wrt g? 360*g Let o(z) = -z**2 + 5*z - 3. Let c be o(3). What is the first derivative of -8*h**c - 3 + 0 + 4 wrt h? -24*h**2 Let w(q) = -q**2 + q + 32. Let a be w(6). Let o be -2*2*2/(-4). What is the derivative of d**o + d**2 - 2 + d**a wrt d? 6*d Suppose -a - 4*b + 11 = -0*a, a = -5*b + 13. What is the first derivative of -2*g**3 + 0 + 4 - a wrt g? -6*g**2 What is the third derivative of -3*t**2 - 3 + 156*t**4 - 156*t**4 - 65*t**6 wrt t? -7800*t**3 Let x(a) = 2*a**3 - 4*a**2 - 2*a + 2. Let n be x(3). Suppose -4*h - 2 = -n. Find the third derivative of -o**3 - o**h + 0*o**2 + 2*o**2 wrt o. -12 Let q(m) be the third derivative of m**6/120 + 13*m**4/24 - 14*m**2. Find the second derivative of q(x) wrt x. 6*x Suppose 3*z = 2*z - 5*j - 1, 3*j + 15 = 3*z. What is the first derivative of z*b + 2 - 5*b - 3*b - 1 wrt b? -4 Let n be (-3*(-2)/72)/1. Let a(j) be the second derivative of 0 - 2*j + 1/6*j**3 + n*j**4 + 0*j**2. Find the second derivative of a(l) wrt l. 2 Differentiate 35 + 24*i - 13*i - 10*i with respect to i. 1 Let h(y) = -2*y**5 - 4*y**3 - 4*y - 4. Let v(x) = 7*x**5 + 11*x**3 - x**2 + 11*x + 11. Let a(n) = -11*h(n) - 4*v(n). Find the third derivative of a(g) wrt g. -360*g**2 Let z(v) = v**3 + v**2 - v - 1. Let b(l) = 11*l**3 + 13*l**2 - 2*l - 2. Let a(h) = -b(h) + 2*z(h). Find the third derivative of a(i) wrt i. -54 Find the third derivative of 75*k - k**4 + 16*k**2 - 2*k**2 - 75*k wrt k. -24*k Let v(s) be the third derivative of -3*s**2 + 0 + 0*s - 1/60*s**6 + 0*s**4 - 1/30*s**5 + 0*s**3. What is the third derivative of v(y) wrt y? -12 Let q(m) = -m**2 + 1. Let t(f) = 6*f**2 + f - 2. Let c(d) = 5*q(d) + t(d). Let x be c(0). What is the second derivative of 7 - l - 7 + 2*l**x wrt l? 12*l Suppose 0 = -v - 1 + 3. What is the second derivative of v*d - 3*d**5 + 0*d + d wrt d? -60*d**3 Let h(r) be the third derivative of 0*r**6 + 0*r**3 + 0*r**7 + 0*r**4 - 1/112*r**8 + 0 + 0*r - 1/20*r**5 - 3*r**2. Find the third derivative of h(v) wrt v. -180*v**2 Let o be (-1)/(2/4 + -1). Suppose -o*q - 4*d = 18, q + 4 = -0*q - d. What is the derivative of -q - 2 + 0*g**4 + g**4 wrt g? 4*g**3 Let s(p) be the first derivative of 7*p**5/5 + 2*p**3/3 + 12. Find the third derivative of s(f) wrt f. 168*f Let d(m) = -67*m**3 + 11*m**2 + 86*m - 15. Let o(n) = 33*n**3 - 6*n**2 - 43*n + 8. Let v(z) = -6*d(z) - 11*o(z). Find the second derivative of v(s) wrt s. 234*s Let h = -3 + 5. Let j(w) be the second derivative of h*w + 1/6*w**3 + 1/10*w**5 + 0*w**4 + 0*w**2 + 0. What is the second derivative of j(k) wrt k? 12*k Let g(b) be the third derivative of b**8/112 + 11*b**5/60 + 7*b**4/6 + 3*b**2 - 16. What is the second derivative of g(h) wrt h? 60*h**3 + 22 Let u(k) be the second derivative of -5*k**4/4 - 19*k**3/6 - 12*k. What is the second derivative of u(b) wrt b? -30 Suppose -3*q + 26 = -q + 4*m, -q = 5*m - 28. Suppose 4 = q*n - n. Differentiate -2 + 0*k**4 - n*k**4 + 5*k**4 + 4 wrt k. 12*k**3 Let f(q) be the second derivative of -q**7/630 - q**5/120 + q**4/3 + 4*q. Let c(x) be the third derivative of f(x). Differentiate c(u) with respect to u. -8*u Let x(h) = 4*h**4 + 20*h**2 + 6. Let n(j) = 13*j**4 + 59*j**2 + 17. Let c(o) = -6*n(o) + 17*x(o). What is the third derivative of c(g) wrt g? -240*g Let v(d) = -d**3 - 7*d**2 + d + 7. Let f be v(-7). Find the second derivative of -u + 2*u**5 + u**5 + f*u wrt u. 60*u**3 Let b = -29/9 + 119/36. Let m(c) be the second derivative of 0*c**2 + b*c**4 + 1/3*c**3 + c + 0. Find the second derivative of m(o) wrt o. 2 Let d(k) be the th
{ "pile_set_name": "DM Mathematics" }
7 + 264*q. -q*(q - 6)*(q + 14)*(q + 22)/7 Factor -5*c**2/2 - 300285*c - 18034216245/2. -5*(c + 60057)**2/2 Factor 5*t**3 - 6985*t**2 + 772015*t - 22260995. 5*(t - 1279)*(t - 59)**2 What is l in 5*l**5 - 180*l**4 + 805*l**3 - 910*l**2 - 660*l + 1240 = 0? -1, 2, 31 Solve 3*z**3/4 - 1183*z**2/2 + 119145*z - 988650 = 0 for z. 26/3, 390 Suppose -2*x**2/15 + 362*x/5 - 14028/5 = 0. Calculate x. 42, 501 What is v in -5*v**3 - 272*v**2/3 + 188*v + 80/3 = 0? -20, -2/15, 2 Factor c**2/5 + 3681*c/5 - 7366/5. (c - 2)*(c + 3683)/5 Solve -2*f**4 + 476*f**3 - 14002*f**2 + 26584*f - 13056 = 0. 1, 32, 204 Factor 27*w**4 + 14931666*w**3 + 2064384948639*w**2 - 2752533173772*w + 917513270028. 3*(w + 276513)**2*(3*w - 2)**2 Factor -5*d**2 + 7525*d - 7520. -5*(d - 1504)*(d - 1) Factor 3*n**4 - 120*n**3 - 8676*n**2 - 79728*n + 464640. 3*(n - 80)*(n - 4)*(n + 22)**2 Factor -3*u**2 - 5318184*u - 2356923421488. -3*(u + 886364)**2 Determine n, given that -4*n**2 - 395512*n = 0. -98878, 0 Solve 8*c**5/5 + 748*c**4/5 - 2712*c**3/5 + 416*c**2/5 + 2704*c/5 - 1164/5 = 0. -97, -1, 1/2, 1, 3 Suppose 2*w**3 + 676*w**2 - 10590*w = 0. What is w? -353, 0, 15 Factor 5*v**4 - 4590*v**3 + 9160*v**2. 5*v**2*(v - 916)*(v - 2) Find i, given that -2*i**3 + 4572*i**2 - 459264*i + 11800256 = 0. 52, 2182 Factor -6*z**4/7 - 77820*z**3/7 - 253108350*z**2/7 - 719835000*z - 3593625000. -6*(z + 10)**2*(z + 6475)**2/7 Factor 3*t**2/4 + 27669*t + 55335. 3*(t + 2)*(t + 36890)/4 Factor -k**3/9 - 184*k**2/9 + 719*k/3 + 260. -(k - 12)*(k + 1)*(k + 195)/9 Factor f**2 + 13682*f - 54744. (f - 4)*(f + 13686) Find j such that 3*j**2 + 36966*j + 1547280 = 0. -12280, -42 Factor 27*g**2/7 + 632616*g/7 + 421732/7. (3*g + 2)*(9*g + 210866)/7 Determine f, given that f**2/5 - 1131*f/5 - 908 = 0. -4, 1135 What is h in -57*h**3/2 + 2507*h**2/2 + 15412*h + 270 = 0? -10, -1/57, 54 Suppose -w**4 + 22*w**3 + 189*w**2 + 398*w + 232 = 0. What is w? -4, -2, -1, 29 Determine p so that p**3/3 - 239*p**2/3 + 18032*p/3 - 412972/3 = 0. 43, 98 Factor -3*b**2/4 - 70536*b - 1658442432. -3*(b + 47024)**2/4 Solve -5*s**3 + 2125*s**2 - 209590*s - 211720 = 0. -1, 158, 268 Find r, given that 3*r**2 - 1687284*r + 237243941388 = 0. 281214 Solve 2*l**3/9 - 203*l**2/9 + 1316*l/3 + 225 = 0 for l. -1/2, 27, 75 Factor 4*b**3 + 116760*b**2 + 851939328*b - 1704345728. 4*(b - 2)*(b + 14596)**2 Suppose -f**5/6 + 521*f**4 - 407682*f**3 + 2439844*f**2/3 = 0. What is f? 0, 2, 1562 Determine b so that -4*b**3 + 644*b**2 + 648*b = 0. -1, 0, 162 Suppose 36*b**5 + 5172*b**4 - 12416*b**3 - 21920*b**2 + 39616*b - 14016 = 0. Calculate b. -146, -2, 2/3, 3 Factor -a**2/7 - 697*a/7 - 103630/7. -(a + 215)*(a + 482)/7 Factor 2*s**2 - 69798*s - 139604. 2*(s - 34901)*(s + 2) Factor 21218*i**3/5 - 2478592*i**2 + 962464*i/5 - 18688/5. 2*(i - 584)*(103*i - 4)**2/5 Factor -5*w**2 - 5387780*w - 1451408666420. -5*(w + 538778)**2 Factor -p**3 + 266396*p**2 - 532789*p + 266394. -(p - 266394)*(p - 1)**2 Let 4*z**5 - 32*z**4 - 112*z**3 + 320*z**2 = 0. What is z? -4, 0, 2, 10 Factor 2*b**3/15 - 3392*b**2/5 + 4314624*b/5. 2*b*(b - 2544)**2/15 Find k such that 3*k**2/7 + 1948860*k/7 + 316504608300/7 = 0. -324810 Factor -2*q**4/3 - 3124652*q**3/3 - 542414242800*q**2 - 282476862120572500*q/3 - 282475234880968750/3. -2*(q + 1)*(q + 520775)**3/3 Suppose h**2/2 - 1665*h/2 + 3322 = 0. What is h? 4, 1661 Factor n**4/2 - 167*n**3/2 + 4404*n**2 - 69496*n - 73984. (n - 68)**2*(n - 32)*(n + 1)/2 What is z in -5*z**5 - 575*z**4 - 23435*z**3 - 384585*z**2 - 1661400*z + 9126000 = 0? -39, -20, 3 Factor 2*n**2 - 6052*n/7 + 1728/7. 2*(n - 432)*(7*n - 2)/7 Find m, given that -10*m**5 + 55155*m**4/2 - 20635*m**3 - 234405*m**2/2 + 82700*m + 27570 = 0. -2, -1/4, 1, 2, 2757 Let p**5 + 284*p**4 + 18085*p**3 - 294190*p**2 + 1224184*p - 1420864 = 0. Calculate p. -149, 2, 4, 8 Factor -5*z**3 + 60*z**2 + 705*z - 760. -5*(z - 19)*(z - 1)*(z + 8) Factor -3*a**2/4 + 24367*a/8 - 4061/8. -(a - 4061)*(6*a - 1)/8 Solve 2*x**5 + 108*x**4 + 1502*x**3 + 6228*x**2 + 7280*x = 0 for x. -35, -13, -4, -2, 0 Factor -2*k**3 - 14846*k**2 - 27557886*k - 27543042. -2*(k + 1)*(k + 3711)**2 Factor -5*c**3 - 7305*c**2 + 51350*c - 44040. -5*(c - 6)*(c - 1)*(c + 1468) Determine x so that -4*x**4 + 180*x**3 + 1676*x**2 + 1260*x - 10600 = 0. -5, 2, 53 Let -4*o**2 + 112*o + 648852 = 0. What is o? -389, 417 Determine y so that 14*y**3/11 - 360*y**2/11 - 482*y/11 - 108/11 = 0. -1, -2/7, 27 Determine t so that -722*t**5/17 + 64448*t**4/17 - 1187256*t**3/17 + 4965120*t**2/17 + 15206400*t/17 = 0. -2, 0, 240/19, 66 Factor v**2/3 - 2629*v/3 - 155846/3. (v - 2687)*(v + 58)/3 Determine t, given that -t**5 - 1270*t**4/3 + 16026*t**3 - 157896*t**2 + 632621*t/3 + 88434 = 0. -459, -1/3, 2, 17 Suppose -5*u**2 + 15045*u - 60100 = 0. Calculate u. 4, 3005 Solve 3*a**3 - 147*a**2 - 636*a = 0 for a. -4, 0, 53 Find s such that 2*s**2/5 - 968*s + 9672/5 = 0. 2, 2418 Let -32*k**4/7 - 3660*k**3/7 - 22360*k**2/7 - 35520*k/7 - 10368/7 = 0. What is k? -108, -4, -2, -3/8 Factor 2*j**3/5 - 6*j**2 - 90*j - 250. 2*(j - 25)*(j + 5)**2/5 Determine r so that -9*r**5 - 64*r**4 - 149*r**3 - 78*r**2 + 148*r + 152 = 0. -19/9, -2, 1 Solve 2*w**5 - 10318*w**4 + 10314*w**3 + 10318*w**2 - 10316*w = 0. -1, 0, 1, 5158 Determine g, given that g**2/6 - 2077*g/6 - 1040 = 0. -3, 2080 Factor -2*a**2 - 2566*a + 62736. -2*(a - 24)*(a + 1307) Find h such that 8*h**2/5 + 20198*h/5 - 1010 = 0. -2525, 1/4 Factor 2*f**2/7 + 984*f/7 - 2970/7. 2*(f - 3)*(f + 495)/7 Factor -t**3/5 - 1329*t**2/5 - 5775*t - 158147/5. -(t + 11)**2*(t + 1307)/5 Determine h so that -h**3/2 - 30*h**2 + 3542*h - 6960 = 0. -120, 2, 58 Solve -2*b**3/3 + 6874*b**2/3 - 5868496*b/3 - 65387872/3 = 0. -11, 1724 What is i in 2*i**3 + 734*i**2 - 760*i - 8832 = 0? -368, -3, 4 Let -o**3/4 - 5005*o**2/2 - 5004*o = 0. Calculate o. -10008, -2, 0 Factor 3*b**3 + 25473*b**2 + 101844*b. 3*b*(b + 4)*(b + 8487) Find m, given that -154281241*m**3/2 + 153883769*m**2/2 + 198608*m + 128 = 0. -16/12421, 1 Find u, given that -u**2 - 203424*u - 406844 = 0. -203422, -2 Let 5*f**5 - 56076*f**4 - 44870*f**3 + 67292*f**2 + 44865*f - 11216 = 0. What is f? -1, 1/5, 1, 11216 Factor c**2/5 - 37*c/5 - 38/5. (c - 38)*(c + 1)/5 Find j, given that -5*j**2 + 25955*j + 51930 = 0. -2, 5193 Solve -24*y**5 - 12718*y**4 - 24308*y**3 - 10558*y**2 + 1056*y = 0 for y. -528, -1, 0, 1/12 Factor 1312968643605*k**2 - 5124390*k + 5. 5*(512439*k - 1)**2 Factor t**3/5 - 5436*t**2/5 - 5439*t/5 + 10874/5. (t - 5437)*(t - 1)*(t + 2)/5 Factor 2*o**4 - 12*o**3 + 18*o**2 + 8*o - 24. 2*(o - 3)*(o - 2)**2*(o + 1) Factor -3*r**3/7 + 69768*r**2 - 2839418064*r. -3*r*(r - 81396)**2/7 Let l**3/3 + 387*l**2 + 85556*l/3 + 28132 = 0. What is l? -1082, -78, -1 Find q such that -2*q**2 - 354*q + 716 = 0. -179, 2 Factor -a**5/7 + 11177*a**4/7 - 41649225*a**3/7 + 7395708125*a**2 - 103373406250*a/7. -a*(a - 3725)**3*(a - 2)/7 Solve -y**2 + 44*y + 3116 = 0 for y. -38, 82 Find k, given that 5*k**5 + 1015*k**4 + 10555*k**3 - 1015*k**2 - 10560*k = 0. -192, -11, -1, 0, 1 Suppose o**2/2 + 18109*o/2 = 0. Calculate o. -18109, 0 Find z, given that -z**4 + 64530*z**3 - 1041030225*z**2 = 0. 0, 32265 Let -2*h**5/7 - 62*h**4/7 + 204*h**3/7 - 8*h**2/7 - 272*h/7 = 0. Calculate h. -34, -1, 0, 2 Solve -2*w**3/5 - 172*w**2/5 + 3136*w/5 - 13056/5 = 0 for w. -102, 8 Factor -3*a**2 - 252*a + 56055. -3*(a - 101)*(a + 185) Factor -r**3/10 + 277*r**2/10 - 16611*r/10 - 367353/10. -(r - 147)**2*(r + 17)/10 Let 2*k**3/7 - 18546*k**2/7 - 74210*k/7 - 55662/7 = 0. What is k? -3, -1, 9277 Factor -5*v**3 - 217910*v**2 - 2374238405*v. -5*v*(v + 21791)**2 Let -w**5/6 - 67*w**4/6 - 65*w**3/3 + w**2/3 + 131*w/6 + 65/6 = 0. Calculate w. -65, -1, 1 Find m, given that 3*m**4 + 13101*m**3 - 39321*m**2 + 39327*m - 13110 = 0. -4370, 1 Let 1011*u**4 - 46512*u**3 + 535095*u**2 - 3174*u = 0. Calculate u. 0, 2/337, 23 Suppose -a**4 - 486*a**3 + 4431*a**2 - 11860*a + 9900 = 0. Calculate a. -495, 2, 5 Factor -g**2/4 + 10352*g - 107163904. -(g - 20704)**2/4 Let 2*z**3/7 - 180*z**2 + 212706*z/7 - 4406832/7 = 0. What is z? 24, 303 Factor -2*z**3/3 - 1184*z**2/3 + 5998*z/3 + 5572. -2*(z - 7)*(z + 2)*(z + 597)/3 Find k, given that 5*k**3 - 487905*k**2 = 0. 0, 97581 Solve -2*s**5 - 124*s**4 - 358*s**3 - 236*s**2 = 0. -59, -2, -1, 0
{ "pile_set_name": "DM Mathematics" }
4*d - 2730204 = 4*w. Let p = 67451 + d. What is p rounded to the nearest 100000? 800000 Let m = 12.6 - 12.60126. Round m to 4 decimal places. -0.0013 Let s = -1725 + 3566. Suppose 4559 = q - s. What is q rounded to the nearest one thousand? 6000 Let f = -21 - -21.18. Round f to 1 decimal place. 0.2 Let q = 0.1936 - 0.19. What is q rounded to three decimal places? 0.004 Let m(p) = -48*p**3 + 5*p**2 - 10*p + 2. Let o be m(-7). Suppose -o + 651781 = -5*n. What is n rounded to the nearest ten thousand? -130000 Let g = -5507 + 5506.7669. Let w = 1.524 - 1.77. Let y = g - w. What is y rounded to three decimal places? 0.013 Let x = 2.994 + -0.044. Let u = x + -3. Let m = u - -0.53. What is m rounded to one dp? 0.5 Let s = 106 - 106.293. Let l = s - -0.3. Round l to two dps. 0.01 Let o = 0.94999933 + -0.95. What is o rounded to 7 decimal places? -0.0000007 Let t = 38.1815908 + -6.1815823. Let s = 32 - t. What is s rounded to six decimal places? -0.000009 Suppose -2*w + 208340 - 748340 = 0. What is w rounded to the nearest one hundred thousand? -300000 Let q = 323 + -585. Let r = 277047056.0000113 - 277047318. Let a = q - r. Round a to six dps. -0.000011 Let j = 408 - 399.44. Let s = j + -9. What is s rounded to 1 decimal place? -0.4 Let w = 48 - 2. Let u = -47.9 + w. Let j = u - -6.2. Round j to the nearest integer. 4 Let j = -61 - -312. Let u = 227.1 - j. Round u to 0 dps. -24 Suppose -b - 3*b + 16 = 0. Let m = b - 6. Let y be m/(-8) - 259200006/24. What is y rounded to the nearest 1000000? -11000000 Let j = -0.1 + -7.9. Let q = 3.7 + j. Round q to the nearest integer. -4 Let f = 12.74 + -13. Round f to one decimal place. -0.3 Let x be 2/(-9) - 830/(-90). Let n = 9 - x. What is n rounded to 5 decimal places? 0 Suppose 5*a = 59 - 14. Let c(w) be the third derivative of 213889*w**4/6 - 2*w**3/3 - w**2. Let h be c(a). What is h rounded to the nearest one million? 8000000 Let b(r) = 332*r**2 + 10*r + 8. Let s be -3 - 6/(-4)*-2. Let t be b(s). Round t to the nearest one thousand. 12000 Let j = -39151133554 - -39151131151.3169633. Let f = j + 2468.68304. Let m = 66 - f. What is m rounded to six decimal places? -0.000003 Let t = -9715263 - -9715267.4000059. Let y = t + -4.4. Round y to 6 dps. 0.000006 Let m = -719.8691 - -719.90610033. Let y = 0.037 - m. What is y rounded to seven decimal places? -0.0000003 Let r = -6359010 - -1079012. Let s be r/(-8) - 3/(-12). Round s to the nearest 100000. 700000 Suppose -s + 14 = 2*s + 5*k, -s = k - 4. Let t(v) = 3 - 1610*v - 2003*v + 12*v. Let b be t(s). What is b rounded to the nearest one thousand? -11000 Let b = 471.03985 - 469.04. Let f = 2 - b. Round f to 4 decimal places. 0.0002 Let z = -357578.213 - -357284. Let c = -273.213072 - z. Let d = 21 - c. Round d to 5 dps. 0.00007 Let l = 1 - -16. Let k = l - 16.99999955. What is k rounded to 7 dps? 0.0000005 Let i = 2300824.6 + -2300814.800057. Let l = 110 + -100.2. Let o = l - i. Round o to 5 decimal places. 0.00006 Let z = -0.3 - -0.30007. Round z to four decimal places. 0.0001 Let a(s) = -49075*s**3 - 7*s**2 - 9*s - 2. Let q be a(-6). Round q to the nearest one million. 11000000 Let v = -215 - -301. Let h = -86.74 + v. Round h to one decimal place. -0.7 Let y = 67 + -67.0000002. Round y to 6 decimal places. 0 Let l = -127 + 195. Let g = 67.34 - l. What is g rounded to one dp? -0.7 Let q = 0.6 - 0.575. Let m = q - -19.975. Let b = m - 20.78. Round b to 1 dp. -0.8 Suppose -14708606 = -4*x - 2*y + 12948394, -4*y - 27656988 = -4*x. Let z = 4450552 + -2364801. Suppose b = z + x. What is b rounded to the nearest one million? 9000000 Let l = -17.3 + 17.494. Let k = -2833.494 + 2842. Let r = l + k. Round r to the nearest integer. 9 Let u be (-3)/(3 - 36/10). Suppose -u*y - k + 3255 = -0*k, -4*y + 5*k = -2575. Round y to the nearest 100. 700 Let i = -234.99729 - -235. Round i to four dps. 0.0027 Let k = -39248.989 + 39261.5890059. Let b = k - 12.6. Round b to six decimal places. 0.000006 Let i = -58.99999024 - -59. Round i to six decimal places. 0.00001 Let i = -8.4 - -12.6. What is i rounded to the nearest integer? 4 Let j be (-4)/12 + (-7)/(-3). Let m be j + -2 - 0 - -65998. Let r be m/2 + 0 + 1. What is r rounded to the nearest 10000? 30000 Let u be 3/((-3)/(-6)*3). Let y be u/(-4*2/(-12)). Suppose 23399997 = -2*h - 3*f, y*h + 45200224 - 10100219 = 5*f. Round h to the nearest one million. -12000000 Let t = -38627565 - -38627584.399907. Let u = 19.4 - t. What is u rounded to five dps? 0.00009 Let r = 169.99826 - 170. What is r rounded to four dps? -0.0017 Let c = 12 - 11.93. Let y = -0.06999904 + c. Round y to seven decimal places. 0.000001 Let m be (-1)/(-2)*2 - -2. Let v be 10/((-384)/129 + m). Round v to the nearest one hundred. 400 Let x = 12 + -6. Let s be 40800*(-2)/x*-50. Round s to the nearest 100000. 700000 Let t(u) = 4419*u - 28. Let a be t(12). What is a rounded to the nearest 10000? 50000 Suppose 9*z = 10*z + 3. Let j be (-12*4)/(z/2250). What is j rounded to the nearest ten thousand? 40000 Let n = 14657681052.9947 + -14658505200. Let s = n + 824184. Let v = s - 37. What is v rounded to 3 decimal places? -0.005 Suppose 3*p - 1 = -4. Let c(k) = 3273*k - 7. Let z(s) = -4909*s + 11. Let t(w) = -8*c(w) - 5*z(w). Let f be t(p). What is f rounded to the nearest 100? 1600 Suppose 0*z - 111600000 = -3*z. What is z rounded to the nearest one million? 37000000 Let x = 3873.655 - 3837.654979. Let v = -42.4 - -6.4. Let a = x + v. What is a rounded to 5 decimal places? 0.00002 Let k be (2 - 202)*15*200. Round k to the nearest one million. -1000000 Suppose 2*q + 33803 = 3*q + u, -2*q + 67591 = -3*u. Round q to the nearest 1000. 34000 Let a = 49.26 + -1.66. What is a rounded to the nearest integer? 48 Let j = 3.2 - 3.088. Let d = j - 0.1120149. What is d rounded to 6 dps? -0.000015 Let p(i) = i + 8. Let o be p(-8). Let u(k) = -k**3 - 7*k**2 - 8*k - 6. Let r be u(-6). Suppose o = -r*y + 2*y - 32800. Round y to the nearest 1000. -8000 Let u = -18.665 - -0.065. Let m = -18.60174 - u. Round m to 4 dps. -0.0017 Let o be (-2 - -3) + 410/1. Let x = -201 + o. What is x rounded to the nearest one hundred? 200 Let r = 4189574140 + -4189574219.00000093. Let i = -79 - r. Round i to 7 dps. 0.0000009 Let r be -170003 - (-1)/(1/3). Round r to the nearest 100000. -200000 Let v be (-3)/(-9) + (-5)/(-3). Suppose 4*l = -4*x + 14 + 2, 0 = 3*l + v*x - 9. Let u be 43000/l*100/1. Round u to the nearest one million. 4000000 Suppose 3*x = -2 + 5. Let r be 9/((-1149756)/(-1149753) - x). Suppose 4*v - r + 35449259 = 0. What is v rounded to the nearest one million? -8000000 Let s(h) = 29*h - 1. Let x be s(3). What is x rounded to the nearest ten? 90 Let a = 47 + -241. Round a to the nearest ten. -190 Suppose -5*d + 2221 = 3*j, -3*j = 2*d - 2*j - 889. Let x = d - 646. Round x to the nearest 100. -200 Suppose m - 7 = 2*m - 2*w, -5*w = -m - 19. Let d be 0/(m/(-1)) + -1. Let q be (-2250003)/9 + d/(-3). What is q rounded to the nearest 100000? -300000 Let u be 454/(2 - 4)*45. Let t = u - -4115. Round t to the nearest one thousand. -6000 Let n be 4/(-6) - (-65496)/18. Suppose -3*l = -5152 - n. Suppose 0 = -5*p - 5*z + l, -4*z - 24 = -8. What is p rounded to the nearest one hundred? 600 Let o = 32 - 31.04. Round o to one dp. 1 Suppose 8 = 2*s - 18. Suppose 2414 = 4*m + 2*z, s = -5*z - 12. Let r = -1726 + m. Round r to the nearest 100. -1100 Let q = 1.82 + -0.11. What is q rounded to the nearest integer? 2 Suppose 0 = -2*b - 2*b + 288. Suppose g + g - 68 = 2*c, 2*c - 3*g = -b. Round c to the nearest one hundred. 0 Let u = 8.2 + -6.94. Let a = -1.1 + u. Let x = a - 0.1. Round x to one dp. 0.1 Let k(s) = 262*s**3 - s**2 + 8*s + 20. Let w be k(10). Round w to the nearest 10000. 260000 Let a = 7867 + -7888.062. Let w = -21 - a. Round w to 2 dps. 0.06 Let v = -18.29928 - -18.3. What is v rounded to 4 dps? 0.0007 Let x = -93 + 252. Let f be x + 3 + 0 + -2. What is f rounded to the nearest one hundred? 200 Let r = 32.9982 + -33. What is r rounded to four dps? -0.0018 Let r = 11075110 + -11075100.999926. Let t = r + -9. Round t to 5 decimal places. 0.00007 Let x(g) = g - 7. Let p(d) = 4*d - 2. Let b be p(2). Let o be x(b). Let u be 1/(o/(-2)) - -898. Round u to the nearest 1000. 1000 Let a = -1763 - -1670.051. Le
{ "pile_set_name": "DM Mathematics" }
= -11*p - 69*p - 185 - 300 for p. -9 Solve 13429 = -544*v - 2347 for v. -29 Solve 107 - 1471 = 574*v + 2080 for v. -6 Solve -3530 + 1679 = -346*y + 7145 for y. 26 Solve 226*o - 1571 = -2701 for o. -5 Solve -2946*r + 11513 = -15001 for r. 9 Solve 4220*p + 9664*p = 180492 for p. 13 Solve 0 = -69*i + 1431 - 16 - 104 for i. 19 Solve 213*j - 49399 - 18072 = -273*j - 133*j for j. 109 Solve -25*j - 74 = -14*j + 66*j - 3*j for j. -1 Solve -1439*y = 696*y - 83265 for y. 39 Solve 18309 = 20931*f - 21087*f + 837 for f. -112 Solve -577*z - 564*z = -1193*z + 5668 for z. 109 Solve -567*w - 85*w + 9540 = -42620 for w. 80 Solve 1122*p - 624 + 1824 = -2305 - 9959 for p. -12 Solve 29*j + 836 = 24 for j. -28 Solve 251*z + 4258 - 2745 = -23085 for z. -98 Solve -267 = 71*m + 67 + 318 + 271 for m. -13 Solve 4759 - 8929 = 551*n + 10707 for n. -27 Solve -184058*f + 95760 = -185066*f for f. -95 Solve -137*m + 1970*m = 37*m - 10776 for m. -6 Solve -18662*w + 19005*w + 14497 + 5501 - 447 = 0 for w. -57 Solve -2221 = -445*d + 158*d + 187*d - 12721 for d. -105 Solve 269 - 596 = -48*j + 681 for j. 21 Solve 27*g + 116*g + 13353 = 483 for g. -90 Solve -72235874 + 72225762 = 128*b for b. -79 Solve -6473 + 1948 = 95*n + 225 for n. -50 Solve 0 = -698*l - 478*l - 3097 + 14857 for l. 10 Solve 27*z - 64 - 52 = -13*z + 244 for z. 9 Solve 11163*w + 339298 = 951*w - 457238 for w. -78 Solve 65656895 - 65656787 = 36*w for w. 3 Solve 228*k - 33798 = -1125*k + 13557 for k. 35 Solve 47225 = -722*l + 437*l - 1239*l - 62503 for l. -72 Solve 150*v - 320*v - 2880 = -260*v for v. 32 Solve -129*w - 110*w = -71*w - 23352 for w. 139 Solve -143*t - 398*t = -300*t - 3615 for t. 15 Solve 536 = -115*y + 206*y + 8*y + 12713 for y. -123 Solve 9539*p + 24946 - 66229 + 18675 = 63243 for p. 9 Solve -6335*u + 6281*u = -648 for u. 12 Solve 32*w = 933*w + 36941 for w. -41 Solve 817*g = 5761 - 31088 for g. -31 Solve 65500 + 44158 = -3264*t - 2070*t - 55696 for t. -31 Solve 44973*i = 44580*i - 30654 for i. -78 Solve 368 + 323 = 104*j - 453 for j. 11 Solve 100*a = 71598 - 67698 for a. 39 Solve -686*n = -2802*n + 35575 + 1381 + 9596 for n. 22 Solve 1217*z - 142107 = -341*z + 104*z + 47*z for z. 101 Solve -2401*h = -503*h + 1543*h + 34410 for h. -10 Solve -276*v - 17086 - 6078 = 14514 - 10906 for v. -97 Solve -25*k - 1087478 = -1088803 for k. 53 Solve -201*v + 16387 = 376*v - 4385 for v. 36 Solve -11731 - 17243 = -387*c - 6915 for c. 57 Solve -146*x - 4902 = -404*x for x. 19 Solve 5450 = -4017*t - 9292 - 7849 - 5528 for t. -7 Solve -5760 = 393*g - 573*g for g. 32 Solve 116*l - 1387 = 17*l + 692 for l. 21 Solve -423*v + 64471 - 61087 = 0 for v. 8 Solve -661*s - 317*s - 9562 = -295*s for s. -14 Solve -81 + 72 = -7*a - 100 for a. -13 Solve 0 = 740*d - 18122 - 41078 for d. 80 Solve -806 + 13175 = -1767*h for h. -7 Solve 2167*g + 1231*g = 1370*g - 135876 for g. -67 Solve 58*t + 52 - 85 + 91 = 0 for t. -1 Solve -1355*m + 2445*m - 6965 = -26681 - 47864 for m. -62 Solve -393*c + 3558 = -89*c + 1614 - 5048 for c. 23 Solve -98839 = -1525*l + 5369*l + 162553 for l. -68 Solve 183*t + 10126 = -t + 1662 for t. -46 Solve 7932*w - 3280*w - 2210*w = -7735*w + 1170355 for w. 115 Solve 0 = 4196*v + 5579 - 229191 - 53324 for v. 66 Solve -2*d + 16*d - 8*d = d + 375 for d. 75 Solve -126*d - 469590 = -471480 for d. 15 Solve 346*j - 688*j - 1044 = -400*j for j. 18 Solve 18914*j - 23672 = 19452*j for j. -44 Solve 1339*v = -19585 + 87874 for v. 51 Solve -91*v + 814 = -22*v + 193 for v. 9 Solve 16*j + 15*j + 892 - 10544 = 285*j for j. -38 Solve -9*b + 989 - 34252 = -1752*b + 15541 for b. 28 Solve 31155 = 477*c - 1484*c - 14160 for c. -45 Solve -1898 = 1181*c - 2800*c + 1309*c + 14532 for c. 53 Solve 3576*g - 6244 = 2684*g for g. 7 Solve -174*s - 158*s - 34335 = -s - 16*s for s. -109 Solve -36*h + 5509 - 11944 = -201*h for h. 39 Solve -28699 = 73*s + 85*s - 30121 for s. 9 Solve -772*b - 905*b + 42379 = -28*b + 9399 for b. 20 Solve 7965 = -1503*m - 1152*m for m. -3 Solve -780*a - 315*a = 392*a - 89220 for a. 60 Solve -1499*q - 76753 = 2771*q + 128*q + 107963 for q. -42 Solve -510*n = 24035 + 445 for n. -48 Solve 81*n + 77*n + 6760 = 418*n for n. 26 Solve 53*f = -1304*f - 65136 for f. -48 Solve -599*q - 959*q = 43624 for q. -28 Solve 0 = 6754*p - 10996*p + 458136 for p. 108 Solve -18*a + 43942 - 13016 = -676*a for a. -47 Solve 165654 + 154874 = -3082*d for d. -104 Solve -263*j - 10*j - 23338 = -7777 for j. -57 Solve -2298 - 13169 - 7250 = 765*u - 4357 for u. -24 Solve 2526*p + 254438 - 7670 = 198*p for p. -106 Solve 1971*t + 85836 = -1761*t for t. -23 Solve 2571*f - 1546*f + 82365 = -3310*f for f. -19 Solve -316*i + 28592 + 2788 = -839*i for i. -60 Solve -58*w + 56*w = -241*w + 239 for w. 1 Solve -268*a - 72730 + 14355 = -1052*a + 13753 for a. 92 Solve 3375*v + 54469 = 216469 for v. 48 Solve -356*z - 182*z = 32*z + 570 for z. -1 Solve 356985*x = 356936*x - 147 for x. -3 Solve 1449*j - 485*j + 20244 = 0 for j. -21 Solve -5557 = 1402*t + 61768 - 724 + 18921 for t. -61 Solve -1114*l - 265*l - 9364 + 112088 = 305*l for l. 61 Solve 13*w + 120249 = 920*w - 19*w + 405*w for w. 93 Solve 2920*s + 105 = 2927*s for s. 15 Solve 298*v - 50577 = -58921 for v. -28 Solve 0 = 1219*f - 5053*f + 138024 for f. 36 Solve 39*i - 4479 = 924*i + 2797 - 1081 for i. -7 Solve -3565*r + 109220 = -1025*r for r. 43 Solve -130420 - 36129 = 9797*p for p. -17 Solve 33067 = -4279*r - 11711 - 2291 for r. -11 Solve 336*j - 1246*j = 588*j + 1323*j - 2821 for j. 1 Solve -1369842 = 254*y - 1390162 for y. 80 Solve 7503 + 107 = -7163*t - 120369 - 29607 for t. -22 Solve 521*a - 6930 = -407*a + 1159*a for a. -30 Solve -52939 = 4179*q + 22283 for q. -18 Solve 8787*f + 1557 + 1467 = 9004*f - 3703 for f. 31 Solve 634*c + 194*c - 201*c = 25707 for c. 41 Solve 38*z + 50*z - 10560 = -100*z + 23*z for z. 64 Solve 2285 = -452*f - 9881 - 942 for f. -29 Solve 0 = -73827*m + 72624*m - 111879 for m. -93 Solve -854*d + 349*d - 1515 = 0 for d. -3 Solve 3234*i + 16647 = 2697*i for i. -31 Solve 428*z - 86*z + 2060 + 1360 = 0 for z. -10 Solve -13*c + 8223 = 47*c + 7623 for c. 10 Solve -40592 = -41*l - 38952 for l. 40 Solve 3190*g - 46391 = 1173*g for g. 23 Solve -5575*s = -378*s + 1315*s + 4114*s - 63756 for s. 6 Solve 107*s - 1475 - 4410 = 0 for s. 55 Solve 0 = 1324535*o - 1324450*o + 5440 for o. -64 Solve -25 - 395 = 66*v + 372 for v. -12 Solve -2433*r - 49674 = -7803*r + 256416 for r. 57 Solve -936*y - 1102*y - 2231*y - 192105 = 0 for y. -45 Solve 471*y - 24176 + 816 = 24*y - 283*y for y. 32 Solve -1563*z + 1180*z - 1956 = -4139 - 2413 for z. 12 Solve 0 = -13918*n + 13260*n + 39480 for n. 60 Solve 138720 = 230185*h - 228553*h for h. 85 Solve 2733*y - 1360*y - 1499*y = -7182 for y. 57 Solve 446*w - 2765 = 32469 for w. 79 Solve 410073 = 53*u + 408377 for u. 32 Solve -97*s - 587194 + 580210 = 0 for s. -72 Solve -89*n = 85*n - 2199 - 5631 for n. 45 Solve -827*u - 31969 - 37527 = -27319 for u. -51 Solve -6821*b - 6676*b + 7310*b - 9713*b = 1605900 for b. -101 Solve 242167*j + 2352 = 242216*j for j. 48 Solve 70475 = 39*j + 69890 for j. 15 Solve -477*f + 75*f + 28273 = 175*f for f. 49 Solve 75842 = 1889*i + 17283 for i. 31 Solve -11886*q + 6661 = -2098*q + 75177 for q. -7 Solve -2026*f + 161519 - 48063 = 0 for f. 56 Solve 181*y + 3720 - 8969 = 0 for y. 29 Solve 119*a = 12814 - 14123 for a. -11 Solve -85 = -179*l - 179 + 810 for l. 4 Solve -534*j - 22 = -535*j - 10 + 21 for j. 33 Solve 1023*z + 647 = -23*z - 399 for z. -1 Solve 558 = 63*v - 1371 - 65 - 274 for v. 36 Solve 2061*j = 340*j - 148006 for j. -86 Solve -8808*b = -8739*b + 5865 for b. -85 Solve -216*u - 1902714 + 1923666 = 0 for u. 97 Solve 19522*j + 107576 = 17940*j for j. -68 Solve 31164606 = -150*g + 31171056 for g. 43 Solve -198014 = -446*o + 6382*o - 46222 + 73776 for o. -38 Solve 745*x - 3529 - 285 = 2467 + 6384 for x. 17 Solve -211*i - 3882 = 18*i - 34*i - 21237 for i. 89 Solve 723*o - 374*o - 22 + 80 = 378*o for o. 2 Solve -14268 - 357791 - 71542 = -113*f + 6542*f for f. -69 Solve 47*n + 63781 = 1871*n - 25595 for n. 49 Solve 2703*s + 35371 = -59234 for s. -35 Solve 50*l - 1188 = -27*l + 95*l for l. -66 Solve 0 = 7996*a + 308670 + 259046 for a. -71 Solve -6631 + 9161 = 577*f + 12369 + 28820 for f. -67 Solve -1740*m + 90872 = 716*m for
{ "pile_set_name": "DM Mathematics" }
-0.104. What is the nearest to a in 0.1, -0.02, 2/23? -0.02 Let d = -344/5 - -69. Which is the nearest to -9.4? (a) d (b) 0.4 (c) -5 c Let d = 36841.949 - 36820. Let m = -0.051 - d. Let i = m - -21.5. Which is the closest to -0.5? (a) -0.1 (b) i (c) -3 b Let s be -3 - 1 - (-12 + 8). Suppose -3*n + 4 - 1 = s. Let z = -0.5 - 0. What is the closest to 0 in z, 0, n? 0 Let x = -42.5 + 43. Which is the closest to 0.07? (a) x (b) 1/13 (c) 1 b Let s = 69 + -74. What is the closest to 1 in 0.2, -1, s? 0.2 Let i = -931 - -930. What is the closest to -0.3 in -1/33, 4, i? -1/33 Let i be (-4)/(12/15*50/(-4)). Let v = 3 + -3.1. What is the nearest to v in -4, 1, i? i Let j = 3.26 - 1.26. Which is the nearest to 2? (a) 5 (b) j (c) -3 b Let x be 92/28 - 6/21. Let s be -1 - (18/(-3))/x. Let q(p) = 2*p - 1. Let t be q(s). Which is the closest to t? (a) -5 (b) 1 (c) 0 b Let s(o) = 8*o - 4. Let v be s(1). Let n = -0.06 - -0.06. Which is the nearest to n? (a) 2/5 (b) -2/3 (c) v a Let v = 4.988611 + 0.011389. Let k be 2 - 1 - 2/6. Which is the closest to -1? (a) v (b) k (c) 4 b Let w = -367/3 - -123. What is the closest to 0 in -2, -2/25, w? -2/25 Let i = 1265 + -1265.3. What is the closest to -0.3 in i, -28, 3, 0.5? i Let c = -347/219 - 6/73. What is the nearest to 5 in 0, c, 0.4? 0.4 Let f = -356 + 205. Let g = -182.3 - f. Let x = g + 31. What is the closest to 1 in -5, -1, x? x Let s be (36/315)/(4/(-10)). Let y = -35 + 35. Let i = -2.6 + 3. What is the closest to y in -1/11, i, s? -1/11 Let g(b) = b**2 - 20*b - 20. Let k be g(21). Suppose -3*d - 6 = 0, -4*d - 19 = -5*l - k. Let j = -121/7 + 17. What is the nearest to j in -4, l, 0.4? 0.4 Let d = 1.69 + 72.31. Let p = -77 + d. What is the closest to 0 in -1/7, p, 1/15? 1/15 Suppose -5 = -f - 4*f. Let p(l) = -l - 1. Let j be p(f). Let v be 4/(-16) + j/56. Which is the closest to 0? (a) -0.1 (b) v (c) -5 a Suppose z + 40 - 38 = 3*f, 3*f = -5*z + 8. What is the nearest to f in -2/13, 1, 3.7, 1/7? 1 Let i = -58 - -72. Suppose -i*l + 4 = 32. Let n = 1.1 - 0.1. What is the nearest to 1/4 in n, l, 0.1? 0.1 Let y = 17.55 - 17.4. What is the closest to 0.1 in -0.2, -0.4, y, -4? y Suppose 9*n - 3*n = 0. Suppose 20*f - 97 - 3 = n. What is the nearest to 0.1 in 4, f, -2? -2 Suppose 3*q - 6*q - 5*g = 15, -3*q + 2*g = -6. What is the closest to 1 in q, -1/3, 5, 0.5? 0.5 Let o = -1979/3 + 659. What is the nearest to -4 in -0.06, -0.1, 1, o? o Let q = -0.0629 - 1.9371. Which is the nearest to -0.6? (a) -0.4 (b) q (c) 1/16 a Let v = -0.03 - 0.068. Let o = v + -1.772. Let p = -0.13 + o. Which is the nearest to p? (a) 0.1 (b) -5 (c) 0.2 a Let g = 635/63 - 69/7. Let j = 0.518 - -0.482. Which is the nearest to j? (a) -2 (b) g (c) -0.1 b Let s(v) = 36*v - 3. Let u be s(-6). Let p be u/(-4 + 15/6). Let l = p - 1024/7. What is the closest to 0.1 in 1/7, 0.5, l? 1/7 Let y = -0.0396 + 0.5396. What is the nearest to 3/4 in 3, y, 4/3? y Suppose 3*u + 6 = -0. Let m be (-63 + 3)/((-6)/(-4)). Let w be (-10)/(-5) + m/19. What is the closest to w in u, 1, -1/2? -1/2 Let m = 13 - 11. Let k = 3 - m. Let c = 48.3 - 48. What is the nearest to k in 3, c, 4? c Let x be -4 + (-1)/(16/(-604)). Let y = -31 - -65. Let h = x - y. Which is the closest to -0.4? (a) h (b) 0.3 (c) -2 a Let i be -2 + 4 + -5*3/3. Let w = -2.7 - -3. Which is the nearest to -0.2? (a) i (b) w (c) 1/6 c Suppose 3*z - 4*z = -2. Let y be 10 - (6 - 4/z). Let n be (-2)/((-48)/9)*2/(-3). Which is the nearest to y? (a) 0.5 (b) 2/5 (c) n a Let n be 9/54 - (1 - 1). What is the closest to 0 in n, -10/9, -4? n Let r = -110 + 114. What is the nearest to 0 in 0.086, r, -5/4? 0.086 Let t(f) = f**3 - 11*f**2 + 5*f - 8. Let u be t(12). Let h = u - 983/5. What is the closest to h in -0.2, -2, -0.3? -0.3 Let j = 3.757 - -0.243. What is the closest to -1/2 in j, -3, 1/17, 0.1? 1/17 Let h = -8.5 + -76.3. Let f = -85 - h. What is the closest to -1 in 5, f, 0.17? f Suppose 0 = 3*u + 13 + 14. Let y be 0 + (-2 - 16/u). Let o = 17/14 + -12/7. What is the nearest to o in -0.5, -0.3, y? -0.5 Suppose 4*z + 12 = -2*s + 3*s, -9 = -s + 3*z. Suppose 4*w = 3*q + 3, -2*q - 25 = 4*w + w. Let o be 3/(-7)*(-2)/(-3). What is the closest to s in -4/3, w, o? o Let w = 661 - 661.3. Let f = -0.33 - 0.07. Let t = f + 0.5. Which is the closest to t? (a) w (b) 2/15 (c) -4 b Let y = 0.6 + -2.6. Let o = 10 - 39. Let q = -29.1 - o. Which is the closest to q? (a) y (b) 4 (c) 1/4 c Let r = 5 - 7. Let w = r - 1. Let j = 5/14 - 3/28. What is the closest to j in -3/5, w, 1/7? 1/7 Let i = 983/6 + -164. What is the closest to 0 in -2/5, -0.5, i, -3? i Let d = -3.5 + 3. Let o = 23.93 - 23.43. Which is the nearest to d? (a) 1 (b) -2/5 (c) o b Let i = 9.696 - -0.204. Let j = 9.93 - i. Suppose p + 2 = -2. What is the nearest to 1 in j, p, 0.4? 0.4 Let t(s) = -7*s + 7. Let z be t(-3). Let d be (-4)/z + (-6)/(-14). Which is the closest to -1? (a) d (b) -3/4 (c) -8 b Suppose -4*h - 8 = -2*q, -q - 5 + 6 = -h. Which is the closest to 2/3? (a) -2/9 (b) q (c) -0.5 a Let g = 8.916 - -0.084. Let y = -9.2 + g. What is the closest to 0 in -1/13, y, 1/2? -1/13 Suppose 4*w - 5 = 3*w. Suppose 1 = 5*n - w*r + 6, 3*r = 2*n - 2. Let z = -0.72 + 1.22. What is the nearest to -0.2 in z, n, 5? z Let l = -57 + 82. Let w = l + -24.9. What is the closest to w in -4, 6/11, 0.5? 0.5 Let f = 53 + -48. Let m = 5 - f. What is the closest to 1/3 in -1/7, -0.3, m? m Let z = -4.83 + 0.83. What is the nearest to 1/4 in 0.5, -5, z? 0.5 Let a be (-2)/5*(5 + 5). What is the closest to 8/3 in -0.2, -5, a, -1? -0.2 Let l = 24/17 - 65/34. Which is the closest to -0.1? (a) l (b) -2/3 (c) -4 a Let p = -3/8 - 3/56. Let f = -646.9 - -647. Which is the nearest to f? (a) p (b) -1 (c) -4 a Suppose 3*p - 2*u + 14 = 2*u, -5*u - 29 = 4*p. Let x(n) = -2*n - 9. Let v be x(p). Suppose v*q + q = 0. Which is the closest to q? (a) -3 (b) -0.5 (c) -0.1 c Let d = 0.995 + -0.695. What is the closest to -0.2 in -2/7, -5, d? -2/7 Let g be 2 + 4 + (-180)/32. Let x = -61/2 + 31. Which is the nearest to x? (a) 0.1 (b) g (c) 3 b Let w = 48.1 - 43.1. What is the closest to -4 in w, -0.4, 0.1? -0.4 Let g = -0.17 - 0.27. Let v = g + 22.44. Let m = 23 - v. Which is the nearest to m? (a) 0.1 (b) 1 (c) 0.6 b Let q = -0.4 - -1.4. Let z(d) = 35*d**2 - 593*d - 32. Let l be z(17). What is the closest to l in q, 4, -3? q Let l = -8 - -6. Let o = 0.83 - 0.93. What is the nearest to o in -0.5, 5, l? -0.5 Let u = -10 - -9. What is the nearest to u in -0.08, 7, 2? -0.08 Let n(y) = y**3 - 9*y**2 - 11*y + 12. Let q be n(10). Suppose i = q*t - t - 3, -4*t + 4 = 0. What is the nearest to i in -0.2, 0.5, -1/3? -1/3 Let w = 0.0348 - 28.9348. Let a = w - -29. Let c be 1*(2 - 1)/(-4). What is the nearest to 0.1 in 3, a, c? a Let l = 12 - 7. Let w = -2.6 + 3. Let k = 535 + -538. What is the nearest to k in 3/7, w, l? w Let c = 27.9 - 28. Let b = -1 - -5. Let g = 31 + -26. What is the closest to c in g, -4, b? -4 Let t = 2.85 + 0.35. Let p = t - 3.7. What is the nearest to 1/3 in p, -2, 4? p Let i(h) = -h**3 - 5*h**2 + 5*h - 3. Suppose -3*s - s = 128. Let t be s/(-12)*9/(-4). Let p be i(t). What is the nearest to -1 in p, -0.3, 4? -0.3 Let r = 6 + -9. Let f = -1 - -2. Let s be (-16 + 660/40)/((-85)/(-20)). Which is the nearest to f? (a) -0.4 (b) r (c) s c Let q = 0.9 - 2.9. What is the nearest to -0.1 in 1, 9, q? 1 Let n = -168 - -156.9. Let d = -10.1 - n. Let p = 0.3 + -0.1. Which is the closest to d? (a) p (b) 1 (c) 0.4 b Let g = 38 - 10. Suppose 3*j = 2*y + g, 4*j + 2*y + 2*y = 4. Let z be (0 + -2)*(-9)/j. Which is the closest to z? (a) -2 (b) -1 (c) 0.5 c Let u be 86/110 + 8/(-44). Let z = 11 + -15. What is the closest to -1 in z, u, -5? u Let c be 40/15*57/(-190). Let w = -0.3 + -0.7. What is the closest to -2/5 in c, w, 1/9? c Let g = 317.2 + -317. Which is the nearest to -3? (a) -0.07 (b) 4 (c) g (d) 3 a Let s = 3 - 2.9. Let v = s - 0.1. Let t = 26.2 - 22.2. What is the closest to v in -0.3, -3/2, t? -0.3 Suppose 0 = 2*k - 35 + 7. Let o be (-8)/(-6)*1/(-8)*2. Which is the closest to k? (a) -0.4 (b) 1/4 (c) o b Suppose m = -5*r + 3 + 11, 2*r + m - 8 = 0. Let o be r/51*-3 - (-1 - -1). Let l = -1.8 - -2. What is the nearest to 0.
{ "pile_set_name": "DM Mathematics" }
b. -1 Let c(o) be the first derivative of -3*o**2/2 - 22*o + 13. Let v be c(-8). Solve v*u + 2 = 3*s + 5, 0 = -3*u - s + 10 for u. 3 Let v(o) = 4*o + 1. Suppose 0 = j - 0 - 4. Suppose -t - 3*t + j = 0. Let w be v(t). Solve k = -w*x + 3*x - 12, 3*k - x + 1 = 0 for k. -2 Let r(y) = 8*y - 6. Let b be r(1). Suppose -b*k = -0 - 6. Solve -4*c - 2*h + 13 = -3*h, 0 = 4*c + k*h + 7 for c. 2 Let v(j) = -j**2 + 23*j - 70. Let u be v(4). Solve y + 2*x - u = -1, 5 = y - x for y. 5 Let n = -588 - -590. Solve -g - n*o = 3 - 1, -4*o = g for g. -4 Let l(v) = v**3 - v**2 + v - 3. Suppose -9*g = -13*g. Let z be l(g). Let b be 0*(-1)/z + 3. Solve -h = a, -4*a - 3 = b*h + 2 for a. -5 Let x(y) = 2*y**3 + 36*y**2 - 37*y + 19. Let g be x(-19). Solve 16 = 2*s - 3*j, 14*s - 10*s - j - 12 = g for s. 2 Suppose b - 6 = -a, 0 = -5*b - 2*a + 8 + 10. Let o(c) = 5*c - 3. Let p be o(2). Suppose 0 = -2*f - 1 + p. Solve 2*q - b*j = 0, -2*q + 5*j = -f*q - 30 for q. -5 Suppose -2*o = -p - 12, 0 = o + 5*p - 23 - 5. Let z(f) = -f**3 + 7*f**2 + 7*f + 11. Let q be z(o). Solve -25 = -q*r + 4*i, 5*i = 2*r - 3*r - 17 for r. 3 Suppose -4*k + k + w + 157 = 0, -3*w + 6 = 0. Let o = 55 - k. Solve o*t + 5 = -5*r, -3*t - 2*r - r = 3 for t. 0 Let t be (-4)/(-8*(-1)/(-14)). Solve k + 4 = -5*q, 3*k - t = 7*q - 3*q for k. 1 Suppose 0 = -3*z + 4*l - 16, 0*l + 4*l - 16 = -3*z. Let k(w) = -2*w + 34. Let s be k(16). Solve z = g + 2*i + 1 + 1, 2 = 2*g - s*i for g. 0 Suppose 4*t + 0*t = 24. Let i be 2 - 1*t/(-3). Let u be 0*(6/i + -2). Solve b = 4*p - 7, -4*p = -u*p - 4 for b. -3 Let d(o) = -13*o - 29. Let t be d(-10). Let n = t + -98. Solve -5*i + w + 2 = -3*i, -5*i + n*w + 4 = 0 for i. 2 Let v = 3 + 42. Let z = 45 - v. Solve -3*a - 4*c = 13, -4*a + z*c - 15 = 3*c for a. -3 Let v(a) = -93*a + 388. Let r be v(4). Solve 0*g - 2*g = 4*p + r, -10 = 5*g for p. -3 Suppose 4*v + 13 - 45 = 0. Suppose 2*x + 1 = -5*d + 4, v = x - 4*d. Solve -g = 3*n - 7*n - 1, x*g + 8 = 4*n for n. -1 Let a be 1*13 - 235/47. Solve 2*k + 2*n - a = -0*k, 8 = 2*k - n for k. 4 Suppose c - 28 = 3*b, 4*c = 8*c - 4*b - 112. Solve -2 - 2 = 2*a - 3*r, -4*r = 3*a - c for a. 4 Suppose 7 + 17 = 2*o. Suppose 5*g - o = u - 0, 0 = -g - 5*u - 8. Solve -g*m = m, -2*m = -5*l - 10 for l. -2 Suppose k = -4*x + 6, -29 = -4*k + 5*x - 5. Let p = -3 + k. Let o = -38 + 47. Solve o*v - 4*v + 14 = -j, 0 = 3*j - p*v - 12 for j. 1 Let i(l) = 3*l + 24. Let g be i(-8). Solve 3*p - 2 = -4*o, 3*p + o - 5*o - 10 = g for p. 2 Let b(n) = n + 2. Let g be b(-6). Let v be (g/(-12))/(2/(-42)). Let y(r) = -r - 3. Let c be y(v). Solve f - 2*o = 2*f + 7, 0 = -c*f - 5*o - 19 for f. -1 Let y(l) = -l + 4. Let q be y(4). Suppose -72 + 392 = -10*i. Let k be (-34)/119 - i/14. Solve -2*s - k*s - b = -19, -4*s - 3*b + 25 = q for s. 4 Let u be (1 + -4)/((-1)/5). Let v = 17 - u. Solve -8*n + 3*n + 7 = -c, v*c = 3*n - 7 for n. 1 Suppose -44 = -5*t + 2*g, 0 = 2*t - 2*g - 13 - 7. Let f = 3 + t. Let u = 16 - f. Solve 3*j + 10 = -l, u*j + l + l = -15 for j. -5 Suppose 0 = 3*n - 2 + 65. Let v = 26 + n. Let k be 14/49 + 12/7. Solve o = -v*w, 3*w + 6 = -k*o - 1 for o. -5 Let h = 42 - -1. Let c = h + -41. Solve 20 = 5*i + c*k + 5, -2*i + 2*k - 8 = 0 for i. 1 Let a = 84 + -80. Suppose -2*g = -6*g + 12. Let x = 0 + g. Solve -x = 3*u - a*d + 13, 0 = 3*u + 2*d - 8 for u. 0 Let h(w) = -w + 7. Let z be h(2). Let q be (z + -1)*7/(-2). Let b = q + 19. Solve 0 = b*c + 2*a + 17, 5*c - 2*a = 6 - 19 for c. -3 Let x be (-1 - 7/(-9)) + (-120)/(-54). Solve x*b - 14 = 3*t, 3*b = 3*t + 10 + 5 for b. 1 Let k(l) = 1 + l**2 + 1 + 8*l + l - 3*l. Let q be k(-6). Let m(o) = -2*o**3 - 3*o**2 - o - 1. Let u be m(-2). Solve -u*r = -2*d + 6, 3*r + 0 + 2 = q*d for r. -2 Let g(s) be the first derivative of 2*s**2 - 2*s + 1. Let y be g(2). Let i be 7/(-28)*-20 - (2 - 2). Solve 0 = i*o + z + z - y, -o - 3*z + 9 = 0 for o. 0 Suppose -4*l = 0, 2*i - 19 = l + 89. Suppose -7*j + 5*j = -i. Solve 0 = -3*h + 2*n + 22, -5*h + 3*n + j = -8 for h. 4 Let p be (1 + 0 - (9 - 5)) + 5. Solve -5*w + p*h + 18 = -3, -13 = -w - 4*h for w. 5 Let s = 0 + 2. Suppose 4*i = -5*v + 23 + 7, v - 4*i - 30 = 0. Suppose g = 3*g - v. Solve g*f + s*l - 4 = 0, 4*f = -4*l + 3*l + 5 for f. 2 Let f be 10/(-15)*63/(-6). Solve -5*c - 12*q + f*q - 45 = 0, -c - 17 = 3*q for c. -5 Let q be (-2)/(-12) + (-1480)/(-48). Let r = q + -27. Solve 4*h = 3*t - 17, 2 - 16 = r*t + 2*h for t. -1 Let c(s) = s**3 - 7*s**2 - s + 10. Let d be c(7). Let u(x) = -x + 10 - x + d*x. Let v be u(-5). Solve -y - l - 9 = -v*l, -5*y + 5*l - 15 = 0 for y. -1 Let i = -1505 + 1515. Solve -2*q - 24 = 5*g, 5*q = 4*g + g + i for g. -4 Let r = 24 - 14. Suppose 0 = -5*f - r + 25. Solve -26 = k + 5*j, -2*k + f*j + 10 + 3 = 0 for k. -1 Suppose -2*y = -3*y + 4. Suppose b - y*b + 15 = 0. Suppose -b*d = w + 4, -3*d - 3*w + 5*w + 8 = 0. Solve -3 = -i + s, i + d = 3*s + 5 for i. 2 Suppose -2*f - 2*r = -f + 9, -3*r = f + 6. Suppose 3 = -3*k - 30. Let i = k - f. Solve -4*g = -j + 6, i*j - g = 5*j - 1 for j. 2 Let n be (-14)/(-5) + (-192)/240. Solve -3*c + 3*w + 20 = -2*w, n*c = -5*w + 5 for c. 5 Let c be 4 - -1 - -4 - 4. Solve -c*t - 3*q = 25, 3*t - 3*q + 2*q + 15 = 0 for t. -5 Suppose -j + 2*p + 0 + 4 = 0, 0 = -2*j - p + 18. Solve -u - 3*x = -11, 0*u - 4*u - 3*x = -j for u. -1 Suppose 4*j - 4*i = -8, 3*j + 5*i - 22 = 4*j. Solve 5*t - 24 = a + 3, -j*t = 4*a - 7 for t. 5 Suppose -18 = -272*g + 266*g. Solve 0 = -3*t + 5*u + 6, -2*u - 18 = g*t + t for t. -3 Let o(a) be the second derivative of -a**5/20 - a**4/4 + a**3/3 - 5*a**2/2 - a. Let m be o(-4). Let w = -47 + 52. Solve -2*q + m = -3*q, 4*s + w*q = -23 for s. -2 Let p(n) = -n**2 - 11*n - 16. Let g be p(-3). Suppose g*o - 52 = -12. Solve s + 20 = -o*v, v + s - 22 = 6*s for v. -3 Suppose 5*w - 32 + 7 = 0. Let h = 16 + -11. Solve h*t = 3*m + 19, -m = w*t + m - 4 for t. 2 Suppose -2 - 30 = 4*q. Let f = 8 + q. Let u be (2 - (f - 0)) + 2. Solve -3*w = -u*g + 23, -2*w - 17 = 4*g + 3*w for g. 2 Let g(o) = -o**3 + 6*o**2 - 4*o + 6. Let k = -6 - -10. Let y be g(k). Let c = 35 - y. Solve -3*x = -12, 0*x = f + 4*x - c for f. -3 Let d(n) = 2*n - n**2 - 7 + 0*n + 3*n + 2*n. Let r(g) = g - 4. Let i be r(9). Let l be d(i). Solve -l*o - 2*m + 11 = 0, -o + 12 = 4*o - 3*m for o. 3 Suppose 4*j + 7 - 3 = 0. Let u = 2 + -15. Let k be j/(27/u + 2). Solve -3*x + 1 = c - 0, 3*x - k = 5*c for c. -2 Let m(p) = -4*p + 15. Let f be m(7). Let q be (-15)/(-1*(0 - -1)). Let h = f + q. Solve 2*d = -h*c + 8, 0*d - 2 = -2*c + d for c. 2 Let k(d) = -d**3 - 11*d**2 + 2*d - 1. Let q(y) = -y**2 + 15*y + 23. Let v be q(17). Let u be k(v). Let p = -19 - u. Solve -24 = -f - p*i, f + i - 9 = -0 for f. 4 Suppose 10 = -3*t - 4*z, -3*z - 19 = -7. Let u = -32 - -52. Solve -3*s = i + 14, -t*s + u = -i - 7*s for i. -5 Suppose 5*q + 15 = 0, 5*q - 2*q = 5*f - 84. Solve -a + 5*d + f = 4*a, 5*a = d + 7 for a. 1 Suppose 4*x - 5*x + 5 = 0. Suppose v = -t - 2*v + 12, x*t + 3*v = 36. Solve -c + 5*z = -t, -4*c - 1 = 4*z + z for c. 1 Let a(s) = s**2 - 11*s - 21. Let q be a(13). Suppose q*f - 1 = 14, 5*g - 5*f = 0. Solve -g*l + 5*r - 21 = 0, 2*l = -4*r - 0*r + 8 for l. -2 Let q(g) = 2*g**2 - 5*g + 5. Let d be q(2). Let p be d/9*(-2 - -80). Suppose 30 + p = 2*y. Solve 3*a = 5*o - y - 0, 2*o + 2*a = 8 for o. 5 Let y be 0 + (-2)/4 - (-340)/40. Suppose y*z = 5 + 11. Solve 2*w - 3 = z*l - 7, -2*l = -10 for w. 3 Suppose 4*l + 4*z - 16 = 0, -2*z + 21 = 17. Solve -5*j = 2*p + 5 - 0, -3*j + 1 = l*p for p. 5 Let q = 52 + -36. Suppose -q*v + 20*v - 12 = 0. Solve -3*g + 7 = 3*z - 5*g, -v*g - 6 = 0 for z. 1 Let o(t) = 3*t - 12. Let s be o(-5). Let l = s + 38. Solve 4*f - 43 = 5*r - l, 3*f - 5 = -r for r. -4 Let z(t) = -t**2 + 8*t - 14. Let n be z(4). Let g be ((-1)/n)/(1/(-10)) - 0. Solve 4*v - 33 + 12 = g*b, -3*b + 2*v - 13 = 0 for b. -5 Suppose 12 - 128 = 4*h. Let r = h - -31. Solve 3*b + 9 - 21 = i, 2*i - r*b = -8 for i. 0 Let y(h) = h**3 - 17*h**2 - h + 20. Let m be y(17). Suppose 0 = -m*w + 2*w + 3. Solve x = -4*k + 17, -5*k - w = x - 23 for x. 5 Suppose -5 = p - 7. Suppose 5*m + 12 = -2*h, p*h + m + m = 0. Solve -h*x - 6 = -4*f - 2, 0 = -2*f - x + 5 for f. 2 Let m(k) = -k**3 - 24*k**2 - 41*k + 70. Let s be m(-22). Solve 6*l + 4 = 4*l - z, -4*z + 8 = -s*l for l. -2 Let v be (-2 - -9) + -12 + 7. Solve v*b = 3*b +
{ "pile_set_name": "DM Mathematics" }
/10). Let i = z + 15. What is the least common multiple of i and -2*2*44/(-8)? 198 Let d = -8/2863 + 24155/8589. Calculate the common denominator of 95/24 and d. 168 Suppose -p = -0*p + 4, 5*p = 2*x - 40. What is the common denominator of ((-4)/x)/(32/390) and -107/10? 40 Let y = -1699 - -6877/4. What is the common denominator of -45/2 and y? 4 Let t = 19612973/395556 - -1/32963. Let v = 165/4 - t. Calculate the common denominator of v and 3 - (3 - (-152)/6). 3 Calculate the common denominator of (-248)/(-6) + 11/66 and 67/9. 18 Let d = -3119/4470 + -1/447. Calculate the common denominator of d and 63/24 + 1 + 3. 40 Let a = -1 - -4. What is the smallest common multiple of (10 - (1 - 1)) + -2 and a? 24 Let m = -124 - -342. Calculate the lowest common multiple of m and 6. 654 Let a = -28 + 39. What is the lowest common multiple of 5 and a? 55 Let q(j) = -j + 11. Calculate the least common multiple of 11 and q(9). 22 Let s = -4786 + 9285/2. Let y = 148 + s. What is the common denominator of y and 55/6? 6 What is the common denominator of 38/7 and (2/10)/(60/75)? 28 Suppose 0*k = f + 2*k, 0 = -4*f + 3*k + 33. Let h be ((-1)/4)/(2/(-8)). Calculate the smallest common multiple of f/(h - (1 - 2)) and 8. 24 Let w(c) = 2*c - 2. Calculate the least common multiple of w(3) and 22. 44 Suppose 2*j - 279 = -a, -4*j = 3*a + 149 - 986. Calculate the common denominator of a/(-6)*(-4)/(-6) and 25/7. 7 Let l(n) = n - 12. Let c be l(9). Let b be -1 - ((-306)/(-273) + c). Let h = b + -2987/1638. Calculate the common denominator of 85/4 and h. 36 Let f = -1791836/5 + 356868. Let q = f + 1490. Find the common denominator of q and -21/4. 20 Suppose 0*m = 2*m - 6. Suppose -6*f = -m*f - 18. Calculate the least common multiple of f and 4. 12 Let y = -403 - 241. Calculate the common denominator of ((-2)/(-8))/(49/y) and -93/4. 28 Let o be 5320205/1787730 + (-4)/(-6). Let p = o - -2/8513. Calculate the common denominator of p and 37/14. 14 Calculate the lowest common multiple of 8 and -6*1/((-9)/30). 40 Let o = -33 + 46. Let x(a) = -a**2 - 7*a + 6. Let v be x(-6). What is the common denominator of o and 495/12 + 3/v? 2 Let j = -6 - -7. Let n be 6*(j - (-3)/(-6)). Suppose -2*h + 5 = n*h. Calculate the least common multiple of 4 and h. 4 Calculate the common denominator of 39/52 + 198/8 and 31/18. 18 Let a = 11 + 7. Calculate the common denominator of ((-297)/24)/(-3) + -1 and a. 8 Let i be 5 + -7 - 4/(-1). Suppose -i*w = 3*n + 1, -2*w + 24 = w - 4*n. What is the least common multiple of w and 7? 28 Suppose -6*i = 6*i - 48. What is the least common multiple of i and 18? 36 Let h = 1 - 5. Suppose 2*g + 0*o - o + 12 = 0, 5*o - 30 = 4*g. Find the common denominator of 65/22 and 103/(g/(-2)*h). 110 Let k(c) = -c**3 - 2*c**2 + 3*c. What is the smallest common multiple of k(-4) and 28? 140 Let v = -24 - -103/2. Let p = -2/1621 - -58370/11347. Calculate the common denominator of p and v. 14 Let p(g) = -10*g + 1. Let z be p(3). Let j be 15*(2 - (-21)/(-9)). Find the common denominator of 39 and (z/j)/((-4)/2). 10 Let h = 295/66 - 1/66. Calculate the common denominator of h and -85/6. 66 Let v(t) = t**3 - 11*t**2 - 10*t - 2. Calculate the lowest common multiple of 18 and v(12). 198 Calculate the common denominator of 41/16 and (22/16 - 1)/(342/(-11096)). 48 Find the common denominator of 7/26 and (-741)/270 + (-1)/5. 234 Suppose 12 = 29*s - 27*s. Calculate the smallest common multiple of s and 3. 6 Suppose 4*r = 6*r - 20. Let i = -1 + 6. Let u = r - i. Calculate the least common multiple of u and 4. 20 Suppose 3*s + 2*j - 12 = 0, 0*j - 4 = -s + 2*j. Let m be (s/10616)/((-1)/4). Let i = 134071/29194 + m. Find the common denominator of 93/4 and i. 44 Let f = 398 + -374516/941. Let r = 458952876 + -1295623942594/2823. Let x = r - f. Find the common denominator of -37/4 and x. 12 Suppose 4*d + 5*b = 96, 0 = 3*d + 3*b - 2*b - 83. Let v = d - 21. What is the smallest common multiple of 7 and v? 56 Let z(j) = j**2 + 2*j - 4. What is the smallest common multiple of z(4) and (1*-1)/(-2) + 3/2? 20 Let j = -17/171 + 4457/684. What is the common denominator of -51/16 and j? 48 Suppose 0 = s - 119 - 26. What is the common denominator of 101/6 and s/12 - (-2)/3? 12 Let o = 42 + -30. Suppose k + 3*u = 10, 0 = 4*k + 2*u - 9 - 11. Calculate the least common multiple of o and k. 12 Suppose 4*l - v = l + 13, v = 2*l - 10. What is the lowest common multiple of 11 and 1*l + 0/2? 33 Let s = 7/47 - 2314/705. What is the common denominator of 62/33 and s? 165 Let t = -20 - -26. Calculate the least common multiple of 3 and t. 6 Let p be 0 - 420/((-6)/2). Suppose p = -5*x - 0*x. Find the common denominator of 35/9 and (1 + x/18)*-4. 9 Let q = -4 - -12. Suppose -3*w = -36 - 57. Calculate the lowest common multiple of q and w/3 - 7/21. 40 Let q = -67630/9 + 7506. Calculate the common denominator of -25/12 and q. 36 Suppose 5*h - 15 = 0, -2*k + 4*h + 29 = -3*k. Let b = -2 + -3. Calculate the least common multiple of 6 and k/b + (-2)/10. 24 What is the common denominator of -75/16 and 546/(-132) + 3/3? 176 Let i(x) = -3*x + 1 + 2 + 0. Calculate the lowest common multiple of 2 and i(-5). 18 Let k = 3009668/9 + -334828. Let j = k - -59725/144. Calculate the common denominator of -43/26 and j. 208 Let x(w) = 5*w**2 + 2*w + 1. Suppose -3*k = -4 - 8. Let y = 3 - k. What is the lowest common multiple of 16 and x(y)? 16 Let n = -2720193/464980 + 3/23249. What is the common denominator of 53/6 and n? 60 Let z(h) = 0*h**2 - h**2 + 38*h + 3 + 2*h**2 - 36*h. What is the lowest common multiple of z(-2) and 10? 30 Calculate the common denominator of 59/5 and (17/(-6))/((-7)/35) + -1. 30 Let q(h) = -h**2 - 3*h + 45. What is the lowest common multiple of 55 and q(0)? 495 Let c = -793/2 - -368. Find the common denominator of -107/154 and c. 154 Let q(w) = w**2 - 15*w + 4. Suppose -54 + 18 = -2*c. Calculate the lowest common multiple of c and q(16). 180 Suppose 0 = -5*z + 25, 5*z - 1 = q + 18. Let s be (15/q)/(1/2). Suppose 4*y + j = 43, 3*y + 4*j = s*y - 8. What is the lowest common multiple of y and 4? 20 Let m = -7/6 - -4/15. Find the common denominator of 69/10 and m. 10 Let u = -4/193 + -3265/772. Find the common denominator of -55/16 and u. 16 Let h(g) = -g**3 - 5*g**2 - 5*g - 5. Let d(i) = -i**2 + i. Let k(w) = -d(w) - h(w). Calculate the least common multiple of 7 and k(-5). 70 Calculate the common denominator of (-4)/(-22) - 4415/990 and 8 + -6 - (-102)/(-40). 180 Calculate the common denominator of 89/8 and 4 + 535/30 + -3. 24 Let d(t) = 92*t + 2. Let o be d(-12). Let g be 3*1/(6/o). Let p = -1594/3 - g. Calculate the common denominator of p and 34. 3 Let r(n) = 2*n**3 + n**2 - n - 2. Suppose 0 = -4*k + 4*o - 28 + 152, 55 = 2*k + 5*o. What is the least common multiple of k and r(2)? 240 Calculate the least common multiple of 4 and (2 + -3)*0 - -4. 4 Let x = -11404 + 228127/20. Calculate the common denominator of -77/2 and x. 20 Suppose 0 = 3*d + 4*q - 4 - 1, -d - 1 = 2*q. What is the smallest common multiple of d and 11? 77 Suppose -4*g = 5*c + 34, 3*c + 14 = -5*g - 9. Find the common denominator of -41/12 and c/18*(-558)/(-4). 12 Suppose -4*q - 5*r = -21, -6*q = -3*q + 5*r - 12. What is the lowest common multiple of q and 7? 63 Suppose -28 = -3*y - 7. Calculate the smallest common multiple of y and 4. 28 Let m = -5 + 3. Let t be 0 - (-2 - m)/(-2). Suppose 2*x - 8 = -t*x. What is the lowest common multiple of 6 and x? 12 Let b be (2 - (-2 + 5)) + 7. Let f be (-8)/b*15/(-10). Suppose 32 = 2*y + f*y. What is the least common multiple of y and 2? 8 Find the common denominator of 91/16 and 2/4 + (-20)/(-2400). 240 Suppose 2*q = 3*y - 11, 4*q + y = q. Calculate the smallest common multiple of 4 and (q + -23)*8/(-24). 8 Find the common denominator of (12/16*206)/(-27) and (-2900)/(-72)*3/(-10). 36 Suppose 5*g = 13 + 2. Let d(z) = g*z - 5*z - z. What is the smallest common multiple of d(-6) and 20? 180 Suppose 7*k = 3*k, 0 = -2*z + 3*k - 720. Let i = z + 5809/16. Calculate the common denominator of i and -71/16. 16 What is the common denominator of -87/14 and 45/(-66)*(-2)/(-10)? 154 Let c be 14/(-49) - (-38)/(-14). Find the common denominator of c + 4/((-64)/18) and 43/14. 56 Let b be (-4)/(-12) - 118604/6. Let c = 5337
{ "pile_set_name": "DM Mathematics" }
.4, 1, -0.1, -7? 1 Which is the closest to -60? (a) 402 (b) -27 (c) 0.4 (d) -15 b Which is the nearest to 0.2? (a) 3 (b) 3294 (c) 1/7 (d) 0.2 (e) -19 d Which is the nearest to 1? (a) -28412 (b) -11/5 (c) 3/5 c What is the closest to -4/137 in 3/2, -3/121, 1/4, -2? -3/121 What is the nearest to -1/4 in 19.588, 0.358, 1/5? 1/5 What is the closest to 131 in 0.4, 4, -1/7, -0.2, 19.21, -0.3? 19.21 Which is the nearest to -0.2? (a) 2.2 (b) -3/8 (c) 2.6 (d) -12 b What is the closest to -2 in 2, 5, 0.021, -0.4, -3, -5387? -3 What is the closest to -1/36 in -128, -0.03889, 4? -0.03889 What is the closest to -13.6 in -1/35, 951, 1/3? -1/35 Which is the closest to -2? (a) 25 (b) -0.0245 (c) -3 (d) -0.1 (e) 0.3 c What is the nearest to 149 in 4, 1/6, 0.2, -1, -0.3? 4 Which is the nearest to -1? (a) 3/7 (b) 6/11 (c) -6 (d) 121 (e) -5 a Which is the nearest to 0.2? (a) -0.3 (b) -0.18 (c) 6.51 (d) -0.09 (e) -5/2 d Which is the nearest to -0.18? (a) 1/7 (b) 1 (c) -0.4 (d) 31792.5 c What is the nearest to -2.4 in 142, 0.5, -239? 0.5 Which is the closest to -1/12? (a) 0.13 (b) 3.21 (c) 0.5 a Which is the closest to 0.1? (a) 0 (b) 1/4 (c) -8 (d) 130 a Which is the closest to -2? (a) 2/7 (b) 1/2 (c) 2 (d) -5/74 (e) -0.2 e What is the nearest to 1/2 in 144/11, -3197, -3, 0, -2/3? 0 What is the nearest to 0 in -2/3, 3/11, 729.8? 3/11 What is the nearest to 0.1 in -3.088, -1, 0.42, -1/4, 1? 0.42 What is the nearest to -0.1 in -259, -9, 4/9, -5, 54? 4/9 Which is the closest to 5? (a) 0.1 (b) 2/99 (c) -3/8 (d) -3 (e) 36 (f) 7 f Which is the closest to 38.973? (a) -5/4 (b) -2/13 (c) -0.03 c What is the nearest to 0 in 65, 4, -0.124, 2/43? 2/43 What is the closest to 394 in -13, 1/2, 54, 3? 54 What is the nearest to -6 in -1, 6/5, 8/9, -0.07? -1 Which is the closest to 2? (a) 0.1 (b) 27 (c) -4 (d) 0.7 (e) -2.3 (f) 55 d What is the closest to -4 in 2, 39, 13969? 2 Which is the closest to -0.0782? (a) 92 (b) 0.07 (c) 4/29 b Which is the closest to 80632? (a) -59 (b) 4 (c) 3 b Which is the closest to -1? (a) 3/200 (b) 238 (c) 0 (d) -1/7 (e) -37 d What is the closest to 4 in -15, -2613/55, 0.2, -2? 0.2 What is the nearest to -0.1 in 4/7, 9.75, -1/6, 0.6? -1/6 Which is the nearest to -0.5? (a) -3 (b) 22.1 (c) -2/33 (d) 1/19 c Which is the nearest to 0.027? (a) -0.0202 (b) 0.04 (c) 2/11 b Which is the nearest to 61? (a) 1406/5 (b) -14 (c) 4 c What is the closest to -1 in -3/7, 4/5, -3, 1282, -1/5, -82? -3/7 Which is the closest to -3/67? (a) -39 (b) 4 (c) -5 (d) -4 (e) 24 d Which is the nearest to 0.2? (a) 6/25 (b) 3 (c) 0.5 (d) -2 (e) -17 (f) 2 a What is the closest to -1/3 in -2468.9, -1, -3.3? -1 What is the nearest to -4 in 0, 0.5, -1/4, 61.637, 4? -1/4 Which is the closest to 2/7? (a) -2/5 (b) 0.3 (c) -6/7 (d) 186729 b What is the closest to -2 in -3/4, 10, 606, 0, 3/5? -3/4 Which is the closest to -977841? (a) -4/5 (b) -6 (c) 1 b What is the nearest to 0.5 in -0.3, 1/3, -43, 13, 6/5? 1/3 Which is the nearest to -2/93? (a) -4 (b) -2 (c) 10 (d) 2/7 (e) -3 (f) -1487 d Which is the nearest to 2/9? (a) -1 (b) -130 (c) 0 (d) -0.36 c What is the closest to -2 in -258, -10/13, 383? -10/13 What is the closest to -3/4 in -24, 31, 1/3, 51? 1/3 Which is the nearest to -2? (a) 30 (b) 1 (c) -64 (d) -1.1 d Which is the nearest to 13/5? (a) 158 (b) 0.2 (c) -0.701 b What is the nearest to 38 in 1/64, -3/2, 0, -3, 0.114? 0.114 Which is the nearest to 3/16? (a) 3/5 (b) -8 (c) -1/80 (d) 0.23 (e) 0.2 e What is the closest to 5/4 in 0.2, -1/2, 115, 15, 6? 0.2 Which is the closest to 1? (a) -1 (b) 4 (c) -3/10 (d) -1/785218 d Which is the nearest to -3? (a) 1 (b) -0.4 (c) -1221 (d) -0.5 (e) 33 d What is the closest to 1 in 2/9, 0.4, 1, -2/106459, -2/3? 1 What is the nearest to 772/7 in -1587, -5, 0.5? 0.5 What is the closest to -0.3 in -1/5, -2/7, 5, -2/11, -11? -2/7 Which is the nearest to 8/7? (a) 1/73 (b) 52.5 (c) 2 c Which is the nearest to -1/4? (a) 69 (b) 4 (c) -0.503871 c Which is the nearest to 0.46? (a) 1/6 (b) 0.4 (c) 1106/89 b Which is the nearest to 30? (a) 0.1 (b) -5 (c) 6 (d) -1/85 (e) 0.2 c What is the nearest to -22/5 in 3/25, 1/3, 18, 0? 0 Which is the closest to 1? (a) 75/11 (b) 1 (c) 1/6 (d) 0.4 (e) 78/11 (f) -2/15 b What is the closest to 5914 in -0.1, 4, -35? 4 What is the nearest to 0.1 in -5/4, -3/4, 8, -79, 210? -3/4 What is the closest to -2 in -2/13, -0.38, 2, 0, 1/41, 3127? -0.38 Which is the nearest to -2/13? (a) 12 (b) -0.24 (c) -11 (d) 1/20 (e) -0.4 b What is the nearest to -0.51 in -0.4, 1/1234, 8? -0.4 Which is the closest to -985? (a) -2 (b) 5 (c) 2645 a Which is the closest to 1/45? (a) -4 (b) 0.3 (c) -82 (d) 59/13 b What is the nearest to -14 in 3958/13, 3, 1, -5? -5 Which is the nearest to -1/3? (a) 1 (b) 0.5 (c) -2 (d) -104/125 (e) 3/2 d What is the nearest to -18 in 2/21, -3/5, -15642? -3/5 Which is the nearest to 0.1536? (a) 16535 (b) 5 (c) 1/5 c What is the nearest to 0.1 in -161, -2/9, 26.3, 4.5? -2/9 What is the closest to -1/144 in 0.2, -0.036, -0.1, 1, -6, 5? -0.036 What is the nearest to -23 in 6, -0.3, -95, -297? -0.3 What is the closest to 839/10 in 0, -0.31, 0.1, 2/19? 2/19 Which is the nearest to -4/9? (a) -261 (b) -0.3 (c) 2/3 (d) -2.31 b What is the closest to 2 in 78, -5, 3, 5, 0.0057? 3 Which is the nearest to 9332? (a) -0.3 (b) 0.6 (c) 1 (d) 28 (e) -2/3 (f) -3/5 d Which is the nearest to -0.0807? (a) 2.76 (b) 8 (c) -0.2 c Which is the nearest to -0.17? (a) 11691 (b) 1 (c) 4/5 c Which is the nearest to 0.6? (a) 35 (b) 1/3 (c) 1 (d) -3672 (e) 2 b What is the nearest to 6.6 in 1, 3, 0.04, 23, 0.2? 3 Which is the closest to -1/5? (a) 2 (b) 0.0334 (c) 11890 b What is the nearest to 2 in 0.0041, 715, 0? 0.0041 Which is the nearest to 4/41? (a) 2/33 (b) -22757 (c) 0.1 c What is the closest to -2/7 in 0, -2263, -0.5, 1/10? -0.5 Which is the closest to -0.2476? (a) -1/4 (b) 2 (c) 193 (d) -3 a Which is the closest to 0? (a) -5 (b) 40 (c) -1 (d) 1/4 (e) 4/5 (f) -1081 d Which is the closest to -0.66? (a) -4 (b) -0.2 (c) 7 (d) -5 (e) -0.1 b Which is the closest to 1197? (a) 0.3 (b) 1 (c) 0.1 (d) 134 (e) 5 d What is the closest to 2 in 570, -1, 2, -2236? 2 Which is the closest to -2? (a) -2/7 (b) -2 (c) -0.05 (d) 1.008 (e) -7302 b What is the nearest to -1/4 in 0.2, -0.1, 16703, 53? -0.1 What is the closest to -226 in -3, -0.35, -0.2, -5732, 0.5? -3 Which is the closest to 1/12? (a) 5 (b) -4497 (c) 2/45 (d) -2 (e) 3 c What is the closest to -4 in -7420, 5/11, 4, 0.3? 0.3 Which is the nearest to 1? (a) -1/4 (b) -0.0429 (c) -866 b Which is the closest to -2/3? (a) -7 (b) 3/5 (c) -2007/7 b Which is the nearest to -1/449? (a) 1/4 (b) 1 (c) 3/5 (d) 0.002 d What is the nearest to 0.2395 in -1, 1.48, -0.5, 1.6? -0.5 Which is the closest to -1.2? (a) -3/4 (b) -74 (c) -59 (d) 3/2 (e) -3 (f) 5 a What is the nearest to 7 in 0.2, 1.24, 0.7, -3/106? 1.24 What is the closest to 3 in -7, 1, -2/3, -3, 2.658? 2.658 Which is the closest to -557? (a) -1 (b) -2/11 (c) -4/7 (d) 14 (e) -0.02 a What is the closest to -2 in 29/2, -15768, -2/9? -2/9 Which is the closest to 0.042? (a) -79 (b) -0.1 (c) -0.2 (d) 5 (e) 2 b What is the closest to 101 in 3/4, 15, 0.3, -1, 7? 15 Which is the closest to -1/262? (a) 12 (b) -0.3 (c) 50 b What is the nearest to -3/10 in 0.3, -9/8, -0.3, -2/5, 3, -9.7? -0.3 What is the closest to -2 in -0.5, -971, 868? -0.5 What is the closest to -120 in 0.1, -0.1, 0.2, 11, 0.13? -0.1 What is the nearest to -0.1 in -3, -371, -2, -15.5? -2 Which is the nearest to 0? (a) 0 (b) -16.95 (c) -2/5 (d) -4 (e) 2/17 (f) 74 a Which is the closest to 0.4? (a) -5 (b) 0.4 (c) 1069 (d) -102 b What is the closest to -1/4 in 0, -108, 2.996, -2/13, -4? -2/13 Which is the nearest to 0? (a) 1 (b) -2/11 (c) -33 (d) 1.1751 (e) 0 e What is the closest to -32 in 3145, -1/27, 5, 2/7? -1/27 What is the closest to 4 in 23, 4, -8, 297, 3? 4 What is the closest to -1/2 in -4, -5, -2/5, 8637.8, -1? -2/5 Which is the closest to 29/7? (a) 0 (b) -0.2 (c) -1931/3 (d) -1 a What is the nearest to 0.21 in 8/17, 17, -
{ "pile_set_name": "DM Mathematics" }
escending order. 4, 1, -1, -3, -11, -31 Put 0, -236, -5, -25 in ascending order. -236, -25, -5, 0 Put -1, 10, -2/147, -0.3, -6 in ascending order. -6, -1, -0.3, -2/147, 10 Sort 277, -9564, 1. -9564, 1, 277 Sort 36, 39, 2, -5, -2. -5, -2, 2, 36, 39 Put 16, -2, -7, -24 in descending order. 16, -2, -7, -24 Put 110935, 3, -1, 2 in increasing order. -1, 2, 3, 110935 Put 0.4, 18.2, 0.3, -702/7 in ascending order. -702/7, 0.3, 0.4, 18.2 Sort 331044, -1, -4 in descending order. 331044, -1, -4 Put -5, -3, -2, 9860, 1, 0 in decreasing order. 9860, 1, 0, -2, -3, -5 Put -61, 4, -9, -1, 2, -5 in decreasing order. 4, 2, -1, -5, -9, -61 Put 12, 71, 2, 24 in descending order. 71, 24, 12, 2 Sort -145, -47, -5, -4, 1 in decreasing order. 1, -4, -5, -47, -145 Sort 8, -2222, -3, -5 in ascending order. -2222, -5, -3, 8 Sort 14, -5, 113, -4 in decreasing order. 113, 14, -4, -5 Sort -0.1672, -42, -2 in ascending order. -42, -2, -0.1672 Put -6, 25/7, 0.4, -7/5, -5 in increasing order. -6, -5, -7/5, 0.4, 25/7 Put -21, -0.3, 0.2, -8.6, 3 in descending order. 3, 0.2, -0.3, -8.6, -21 Sort 4, -405/8, -3, 4/7, 2/5, -2/3. -405/8, -3, -2/3, 2/5, 4/7, 4 Sort -0.2, -1/11, -9/4, -0.13, -499. -499, -9/4, -0.2, -0.13, -1/11 Sort -2/3, -1, -27789. -27789, -1, -2/3 Sort 0.03, 0, 1/5, -0.01, 10, 8.5 in descending order. 10, 8.5, 1/5, 0.03, 0, -0.01 Sort 5, 2, 10, 4, 11 in ascending order. 2, 4, 5, 10, 11 Sort -46, 1, 297 in increasing order. -46, 1, 297 Put -119, 3, -38, 5, -3 in descending order. 5, 3, -3, -38, -119 Sort 259, 476, 0 in ascending order. 0, 259, 476 Put 7, 89, 4, -7, 5 in increasing order. -7, 4, 5, 7, 89 Put 19, 4, -131, 5, 1, -8 in decreasing order. 19, 5, 4, 1, -8, -131 Put 746, 8, -3, 0 in increasing order. -3, 0, 8, 746 Sort 5, 2, 7.4171. 2, 5, 7.4171 Sort -1, 451, -2/5, 0.1 in descending order. 451, 0.1, -2/5, -1 Put -4/3, -1, -1/404 in decreasing order. -1/404, -1, -4/3 Put 2, -2/15, -177.7, 167 in decreasing order. 167, 2, -2/15, -177.7 Put 0.1, 1/4, -12/10429 in descending order. 1/4, 0.1, -12/10429 Sort 1770, -41, 3 in ascending order. -41, 3, 1770 Sort -1, -1/6, 0.2, -4, -3, 2 in descending order. 2, 0.2, -1/6, -1, -3, -4 Sort 6, 0.4, 1.1, 1/3, 19 in increasing order. 1/3, 0.4, 1.1, 6, 19 Put 17.9, 2, -0.1, 60 in decreasing order. 60, 17.9, 2, -0.1 Put -696, -4, 15 in ascending order. -696, -4, 15 Sort 4, 1/6, -3, 0.07, -0.83556. -3, -0.83556, 0.07, 1/6, 4 Put 3250, -3, -5 in decreasing order. 3250, -3, -5 Sort -0.04, -10088, 0.5 in ascending order. -10088, -0.04, 0.5 Put 5/7, -0.16, -1, 3/5, 0.3, -14 in descending order. 5/7, 3/5, 0.3, -0.16, -1, -14 Put 5, -6, 3001 in increasing order. -6, 5, 3001 Sort -1, -13101, -3, 3 in descending order. 3, -1, -3, -13101 Put 3, 618, -39, -4, 4 in decreasing order. 618, 4, 3, -4, -39 Sort -7, 4, 11, -6, 0.2, 0 in increasing order. -7, -6, 0, 0.2, 4, 11 Sort -3/8, -5, 3.2, -4, -1/3. -5, -4, -3/8, -1/3, 3.2 Sort -3, 387, 1, -14 in ascending order. -14, -3, 1, 387 Sort 1/3, 14, 0.4, 1, 4/117 in descending order. 14, 1, 0.4, 1/3, 4/117 Sort 12, 4, -3, 1, -150, -4. -150, -4, -3, 1, 4, 12 Sort -0.591, 0.4, -3, 0.5 in decreasing order. 0.5, 0.4, -0.591, -3 Put 0, 99, 2, 32 in ascending order. 0, 2, 32, 99 Sort 25282, -9, 6. -9, 6, 25282 Sort -5, 52959, -4. -5, -4, 52959 Put 1, -4, 0, 6, -696 in increasing order. -696, -4, 0, 1, 6 Sort 38, -67, -5 in increasing order. -67, -5, 38 Sort -2/15, 2, -5, 175 in ascending order. -5, -2/15, 2, 175 Sort -1, -0.5, 1/9, 1/3, -3/4 in descending order. 1/3, 1/9, -0.5, -3/4, -1 Put -81, -14, 4, 8 in increasing order. -81, -14, 4, 8 Put -1/278, -3, -2877, -1 in decreasing order. -1/278, -1, -3, -2877 Put 0.061, 2, -4, 0.06 in descending order. 2, 0.061, 0.06, -4 Put -4, -26494, -5, -3, -2 in ascending order. -26494, -5, -4, -3, -2 Put -166, 0, -3, -104, 5, 1 in decreasing order. 5, 1, 0, -3, -104, -166 Put -5, -3, -276, 11 in decreasing order. 11, -3, -5, -276 Sort 364, 14, -5, -18 in descending order. 364, 14, -5, -18 Put 3, 1/2, 1909, -21, -5, -3 in decreasing order. 1909, 3, 1/2, -3, -5, -21 Put 1, -4, 3, -217019 in descending order. 3, 1, -4, -217019 Sort -5, -13, -4, -70 in descending order. -4, -5, -13, -70 Put 0.07, -10497, -1, -5, 1 in ascending order. -10497, -5, -1, 0.07, 1 Sort 0, -4/11, 3/68, 8 in ascending order. -4/11, 0, 3/68, 8 Put -3, -2408, -5, 5 in descending order. 5, -3, -5, -2408 Sort 3796, -33, -15 in ascending order. -33, -15, 3796 Put -0.69, -0.7, -0.1, 16 in descending order. 16, -0.1, -0.69, -0.7 Sort 0.2, -1/7, 3647/2, 1/6, 3 in decreasing order. 3647/2, 3, 0.2, 1/6, -1/7 Put -4, 104, 5 in descending order. 104, 5, -4 Sort -8, -1/4, -0.23, 2, -7/2. -8, -7/2, -1/4, -0.23, 2 Put -19, 7, 5, -5, 15, 3 in descending order. 15, 7, 5, 3, -5, -19 Put -2, 1036, 0.036, 0.1, 2/9, 5 in decreasing order. 1036, 5, 2/9, 0.1, 0.036, -2 Sort -10, 0, 8, -2, 9 in descending order. 9, 8, 0, -2, -10 Put -3, 71, 1443 in descending order. 1443, 71, -3 Put 0, -0.5, -6768 in decreasing order. 0, -0.5, -6768 Put -5, -3, -1, 5, 3, 7 in decreasing order. 7, 5, 3, -1, -3, -5 Put 5, -3467, -3, 0 in ascending order. -3467, -3, 0, 5 Put 12, 3, 358 in ascending order. 3, 12, 358 Sort -26, -12, -59. -59, -26, -12 Put -3, 4, 0, 37, -7 in ascending order. -7, -3, 0, 4, 37 Sort 0.3, 2/3, 0.4, -5, -0.42, -3/4 in increasing order. -5, -3/4, -0.42, 0.3, 0.4, 2/3 Sort 8/3, -4/161, 0.3, 1 in decreasing order. 8/3, 1, 0.3, -4/161 Sort -1/4, -5, 1, 3, -1, -2/35 in decreasing order. 3, 1, -2/35, -1/4, -1, -5 Put 1, -0.49, 4, -169, 7/3 in increasing order. -169, -0.49, 1, 7/3, 4 Sort 0, 8429, 51, 5 in ascending order. 0, 5, 51, 8429 Sort 3/8, -2/13, 185, 5/4 in increasing order. -2/13, 3/8, 5/4, 185 Put -2, 0, 1058, 90/11 in decreasing order. 1058, 90/11, 0, -2 Put 193, -3, 4, 5, 3, 6 in decreasing order. 193, 6, 5, 4, 3, -3 Sort -37, 5, -1231, -5. -1231, -37, -5, 5 Sort 2, 5, -0.1, -97155 in ascending order. -97155, -0.1, 2, 5 Put -31, -1, -3/7, 6 in decreasing order. 6, -3/7, -1, -31 Put -3, 1, 14, 0, 906 in increasing order. -3, 0, 1, 14, 906 Sort 5, 85, -8, 0, 11. -8, 0, 5, 11, 85 Put 8, -2, -5, 17039 in decreasing order. 17039, 8, -2, -5 Put -3, 1, -353/19, -4 in descending order. 1, -3, -4, -353/19 Put 2/9, 0.1, -2, -1/2, 9, -2/31 in decreasing order. 9, 2/9, 0.1, -2/31, -1/2, -2 Put -1, -5, -16, -14, -3 in descending order. -1, -3, -5, -14, -16 Put 5, 3/7, 1303 in increasing order. 3/7, 5, 1303 Put 0.4, 5, -1461, -20, -4 in decreasing order. 5, 0.4, -4, -20, -1461 Sort 141, -154, -1. -154, -1, 141 Sort 20607, 146, 4 in descending order. 20607, 146, 4 Sort -15, -6, 22, 1, 3, -21. -21, -15, -6, 1, 3, 22 Put -2, -3, -2/5, -312, 0.4 in ascending order. -312, -3, -2, -2/5, 0.4 Put -1/3, -1/2, -30, 8.243 in increasing order. -30, -1/2, -1/3, 8.243 Put 0, 1, 1839 in descending order. 1839, 1, 0 Put 2, -151, 2/25, -4/3, 3 in decreasing order. 3, 2, 2/25, -4/3, -151 Put -1, -17, -277 in descending order. -1, -17, -277 Sort -4/7, 0.414, 0 in increasing order. -4/7, 0, 0.414 Sort -28867, 2, 4. -28867, 2, 4 Put 59, 24, -2, 3, 10 in ascending order. -2, 3, 10, 24, 59 Sort 1, 3, 209601 in increasing order. 1, 3, 209601 Put 3, 108051, 4 in decreasing order. 108051, 4, 3 Sort 31, -5, 16, -29, -6, -3 in descending order. 31, 16, -3, -5, -6, -29 Sort -3, -140, -26, -6. -140, -26, -6, -3 Put -0.1, -316.9, -2/9, 3, -0.2 in ascending order. -316.9, -2/9, -0.2, -0.1, 3 Sort 108, 2, 3, 5, -4, 166. -4, 2, 3, 5, 108, 166 Put -4/7, 4, -0.1, -5, 208 in decreasing order. 208, 4, -0.1, -4/7, -5 Put -14, 63, 269 in descending order. 269, 63, -14 Put 2, -5, -2, -518, 3 in descending order. 3, 2, -2, -5, -518 Sort 20/27, 10, 4/3 in decreasing order. 10, 4/3, 20/27 Put -0.2, -3/7, -1, 1126.3 in descending order. 1126.3, -0.2, -3/7, -1 Sort 1, -5, -42, 5, 33, -4 in descending order. 33, 5, 1, -4, -5, -42 Sort -4, 625, 0. -4, 0, 625 Put 50403, 4, -5, -4 in decreasing order. 50403, 4, -4, -5 Sort -2/9, 0.9, -1/3, -30/17 in descending order. 0.9, -2/9, -1/3, -30/17 Sort 3/2, -62.7, 2/7, -6, -1 in decreasing order. 3/2, 2/7, -1, -6, -62.7 Put 0, -0.7, -2/91 in ascending order. -0.7, -2/91, 0 Sort -6.6, 6, 1 in descending order. 6, 1, -6.6 Sort 286, -48, -5, 4 in decreasing order. 286, 4, -5, -48 Sort -5, 1187, 370. -5, 370, 1187 Sort
{ "pile_set_name": "DM Mathematics" }
= 14435679 + -1685679. Round k to the nearest 100000. 12800000 Let w = 0.07246 - -318.22754. Let m = w - 301. What is m rounded to the nearest ten? 20 Let k = -261.0295 + 0.0295. Let f = k - -260.8568. What is f rounded to 2 dps? -0.14 Let l = -407.38 - -407.3800067452. What is l rounded to 7 dps? 0.0000067 Let d = -3827.4 + 3648.976. Let k = d - -177. What is k rounded to one dp? -1.4 Let c be -2 - ((-189)/(-6) - (-3)/6). Let q be c*(-2)/(-2)*1633/(-142). Round q to the nearest 100. 400 Let b = -366.10013952 + 366.1. Round b to five dps. -0.00014 Let y = 0.03583999634 + -0.03584. Round y to 7 decimal places. 0 Let y = -0.0736 + 0.2839. Let j = -4721 - -4721.225. Let t = y - j. Round t to 3 dps. -0.015 Suppose 2*m - 90678398 = 211521602. Round m to the nearest one million. 151000000 Let z = 5.5299986 + -5.53. Round z to five dps. 0 Let c = 14686.72379 - 14686. Let p = 0.728 - c. Round p to four decimal places. 0.0042 Let x = 410905 - 410164.8475. Let f = 740 - x. What is f rounded to two dps? -0.15 Let z = -0.53271 - -0.05051. What is z rounded to two dps? -0.48 Suppose 5*f = 10*f - 20. Suppose 0 = 2*h + 4*d - 22375562, -h + f*d = -4*h + 33563339. Suppose h = 2*v + 2387777. What is v rounded to the nearest one million? 4000000 Let v(n) = n**3 - 5*n**2 + 3*n - 11. Let m be v(5). Suppose -g = g - 2*w + 14514, -w + 29040 = -m*g. Let h = 11061 + g. Round h to the nearest 1000. 4000 Let c be (-21724)/(-60) + 15/(-225). Let z = 984 - c. What is z rounded to the nearest ten? 620 Let v(t) = 8*t**3 + 5*t**2 + 9*t + 11. Suppose 0*a + 42 = -7*a. Let q be v(a). Let i = 5739 - q. What is i rounded to the nearest one hundred? 7300 Let c = -1444.9999999055 - -1445. What is c rounded to seven dps? 0.0000001 Let a = -396 - -273. Let i = a + 51. Let q = i + 71.9653. Round q to 3 dps. -0.035 Let u = -0.12955 - -0.1267982. What is u rounded to 4 dps? -0.0028 Let r = 916.387 + -980.46. Let w = r + 0.073. Let z = w - -63.99999705. What is z rounded to 7 decimal places? -0.000003 Let j(b) = -30*b**2 + 36*b - 278. Let g be 2 - 7 - 46/(-2 - 0). Let m be j(g). What is m rounded to the nearest 1000? -9000 Let l = 6735 + -9911. Let d = l - -3175.98647. Round d to 3 dps. -0.014 Let d = -52 + 89. Suppose 8*z - d = 43. Let g(b) = -2*b**2 + 15*b + 4. Let n be g(z). Round n to the nearest 10. -50 Let t = 1.856 - 1.316. Let x = -0.6131 + 0.095. Let l = x + t. Round l to three dps. 0.022 Let i = 124808.7 - 125599.8926. Let y = -791 - i. Round y to 2 dps. 0.19 Let c(p) be the first derivative of 1233*p**2/2 + 25*p + 140. Let f be c(-1). What is f rounded to the nearest 100? -1200 Let p be 120748*11/(-2) + 329 + -328. Let w = p - -1644113. Round w to the nearest one million. 1000000 Let x = -181 + 190. Let u(a) = -1128*a**3 - 4*a**2 - 43*a + 23. Let i be u(x). What is i rounded to the nearest one hundred thousand? -800000 Let q = -6146.4000122954 - -6146.4. Round q to six decimal places. -0.000012 Let b be (3/2)/(((-27)/186)/(-9)). Let v = b + -89. Suppose 16 + 48 = -v*h. Round h to the nearest ten. -20 Let q = -271463.876 - -272221. Let j = q + -834. Let a = -0.376 - j. Round a to the nearest 10. 80 Let b = 1928509 - 1151720. Let s = -356689 + b. Round s to the nearest 100000. 400000 Let n(a) = 24 - 3918*a - 92 - 421*a. Let u be n(-12). Round u to the nearest ten thousand. 50000 Let u = -0.429 - -0.746. Let l = 419952.682697 + -419953. Let q = u + l. What is q rounded to five dps? -0.0003 Suppose -5*i - 4*w + 15 = 0, 5*w - 10 = 4*i - 63. Suppose i*b = 6*b + 3. Suppose -h = -3*c + 32997, -b*h - 48225 + 4234 = -4*c. Round c to the nearest 10000. 10000 Let z = -0.8298321836 + 85.8298312136. Let u = z - 85. What is u rounded to 7 decimal places? -0.000001 Let p = -212 + 170. Let o = -35000.0048 - -34958. Let s = o - p. What is s rounded to three decimal places? -0.005 Let p = -7.3 + 4.88. Let c = p + 2.5. Let t = c + -0.66. Round t to one dp. -0.6 Let c = 9.2 + 46.8. Let h = -17 - c. Let y = h - -73.0000011. Round y to seven dps. 0.0000011 Let c = -237825753.2999158 + 237825547.3. Let u = -206 - c. What is u rounded to five decimal places? -0.00008 Suppose 0 = 5*g - c + 38019996, -102*g = -99*g + 2*c + 22812008. Round g to the nearest one million. -8000000 Let o = -1.144 + 1.144004754. Round o to six dps. 0.000005 Suppose -11*k + 14*k - 157146 = 0. Let m be (15/9)/(-5 + k/10476). Round m to the nearest one thousand. 9000 Let v = -68428493 + 16338493. Round v to the nearest one million. -52000000 Let t = 0.144827501 - 0.1448. Round t to seven decimal places. 0.0000275 Let a = -15751 + 15751.0000009397. What is a rounded to seven decimal places? 0.0000009 Let x = 4.79 + -112.29. Let l = x - -113. Let p = l - 5.5048. What is p rounded to 3 dps? -0.005 Let d = -7257 + -16708. What is d rounded to the nearest 100? -24000 Let x = -47138 - -47137.99878235. Round x to 5 decimal places. -0.00122 Let d = -0.8818 + 1.6315. Let f = d - 0.783. What is f rounded to three dps? -0.033 Let u = -77 - 43. Let y = u + 67. Let c = -53.142 - y. What is c rounded to one dp? -0.1 Let a be ((0 - (2 - -2))/5)/((-22)/(-4508075)). Round a to the nearest ten thousand. -160000 Let m = 321 + -144. Let f = -175.2 + m. Round f to zero dps. 2 Let u = -2026.97 + 2028. Round u to 0 dps. 1 Let d(y) = -2*y**3 - y**2 + 1. Let w be d(-1). Suppose w*l - 2*u = -u + 1526, -764 = -l + u. What is l rounded to the nearest 10? 760 Let w = 50716586.23999713 + -50716583.9. Let o = w - 2.34. Round o to 7 dps. -0.0000029 Let v = -249.8690134 - 0.0597866. Let d = v - -250. Round d to two decimal places. 0.07 Let q = -39.64 + 41.6349. What is q rounded to the nearest integer? 2 Let v(c) = -1177*c - 4. Let q be (-9)/9*(-3 + 4). Let u be v(q). What is u rounded to the nearest 100? 1200 Suppose 2132 = -15*q + 19*q. Suppose 0 = 7*w - 699 - q. Suppose -3*p + w = -p. Round p to the nearest 10. 90 Let n be -1 + 167516*1 - 132/44. Suppose 17288 = 10*u - n. Round u to the nearest 1000. 18000 Suppose 4*h = -4*u + 1 - 9, -4*u + 24 = -4*h. Suppose -o - 4*r + 2768 = 0, -2439 = 2*o + u*r - 7963. Round o to the nearest one hundred. 2800 Let t = -565970.9951 - -566054. Let d = t - 83. Round d to three decimal places. 0.005 Let j = -828 + 1464.4. Round j to the nearest one thousand. 1000 Suppose -15*r - 31265331 - 69220574 = 189516595. Round r to the nearest 100000. -19300000 Let d(j) = -15121876*j**2 - 618*j - 2456. Let r be d(-4). Round r to the nearest 1000000. -242000000 Suppose 0 = -3*x - 5*y - 7, -4*x = 2*y - 0 - 14. Let w(b) = 33*b**2 - 2*b + 39. Let o be w(x). What is o rounded to the nearest 10? 1220 Suppose -2*o + 704 = 2*o. Let r be o/33 - (-4)/6. Let g(a) = 222223*a**2 - 6*a + 8. Let k be g(r). Round k to the nearest one million. 8000000 Let f = -1179916.54 + 1179977.940000832. Let y = f + -61.4. Round y to 7 dps. 0.0000008 Let v = 24.634 - 29.0574. Let u = 0.0366 - v. Let t = -4.6 + u. What is t rounded to 1 dp? -0.1 Let w = 2.530176 - 2.534. What is w rounded to 3 dps? -0.004 Let m = 54 - 43. Let v(l) = 4 - 3 - 48570*l + m + 8. Let x be v(-14). Round x to the nearest one hundred thousand. 700000 Let o = 10.3 + 100.7. Let c = o - 117.22. Round c to 1 decimal place. -6.2 Let r = -179 - 6081. Let l = r - -6259.999995723. What is l rounded to six decimal places? -0.000004 Let l = 228.5 + 58.5. Let a = 287.0000094 - l. What is a rounded to 6 decimal places? 0.000009 Let j = -3.62 + -112.38. Let w = -147.8 - j. What is w rounded to the nearest 10? -30 Let n be -25*(-1)/(-30) + -619*1209790/(-12). Round n to the nearest 1000000. 62000000 Suppose 5*u = 5*i - 15, 3*i + 5*u = 1 + 16. Suppose -p = p + 5*o + 10410, 0 = -i*p - o - 20802. Round p to the nearest 1000. -5000 Let k = 24.903 + -0.203. Let t = k - 22. Let j = t + -2.70089. Round j to four decimal places. -0.0009 Let t = 14411973 - 20613373. Round t to the nearest one hundred thousand. -6200000 Let j = 0.047 + -0.174. Let d = j + 6.147. Let h = 0.94 - d. Round h to zero dps. -5 Let j = -593.2151568 - 0.0878432. Let s = 594 + j. What is s rounded to 2 dps? 0.7 Let y = 29 - 48. Let x = -2.65 + -16.34. Let b = y - x. What is b rounded to three decimal places? -0.01 Let w = -182 - 50.8. Let c = 227 + w. What is c rounded to 0 dps? -6 Let r = 0.5752 - 0.57512821. What is r rounded to 5 dps
{ "pile_set_name": "DM Mathematics" }
. -0.09 Let g = -2372195.2 - -73046.2. Let d = 2299149.1200071 + g. Let n = d - 0.12. What is n rounded to 6 dps? 0.000007 Let l be 1332/42 + (-2)/(-7). Suppose -3*j + 10 = 2*w - 0*j, 5*w = -4*j + l. What is w rounded to the nearest 10? 10 Let a = -48 + 32. Let o = -15.9 - a. Round o to 0 dps. 0 Let j = 1.2 + 29.8. Let z = j - 31.184. Round z to 2 dps. -0.18 Let c(y) = -y**3 + y**2 + y. Let n be c(-2). Let r be 1016/10 + 4/n. Round r to the nearest 10. 100 Suppose -o - 9*o - 610 = 0. What is o rounded to the nearest ten? -60 Suppose -g + 3*g - 24 = 4*y, -g + 4*y = -22. Let o be (-80)/(-35) + (-4)/14. Let t be (429999 - g - -1) + o. What is t rounded to the nearest 100000? 400000 Let b = 1025 + -1017.93. Let x = b - 7. Round x to 2 decimal places. 0.07 Let q = -7.473 + -0.027. Round q to 0 decimal places. -8 Let n = 0.039 - -3.061. Let o = -19.89 + 17.9. Let u = n + o. What is u rounded to one dp? 1.1 Let b be (-2)/(-7) - (867924/28 - -3). What is b rounded to the nearest ten thousand? -30000 Let c = 1.04258 + -1.04. What is c rounded to 4 decimal places? 0.0026 Suppose 3*g + 3*u - 1 = 11, -10 = -5*g + 5*u. Suppose 0*j + g*j + 2*q = 183008, j - 61020 = -5*q. What is j rounded to the nearest ten thousand? 60000 Let u = 8 + -8.24. Let r = -0.02 - u. What is r rounded to one dp? 0.2 Let p = -0.06 + -0.04. Let l = 0 - p. Let v = 0.0999992 - l. Round v to seven decimal places. -0.0000008 Suppose -4*v = -0*v - 380. Suppose -v = -4*t - 31. Suppose -5*g + t = -9, j - 79 = -2*g. Round j to the nearest ten. 70 Let t = -23291.6999968 - -23292. Let r = -0.3 + t. Round r to 6 dps. 0.000003 Let t = -22.2 - -23. What is t rounded to 0 dps? 1 Let g = 39.8522 + 0.0478. Let l = -127.1 - g. Let d = l - -167.0079. What is d rounded to three decimal places? 0.008 Let n(z) = 25*z**2 + 2*z - 1. Let h be n(1). Let u be ((-11)/2 + 3)*h. What is u rounded to the nearest 10? -70 Let a = -51.1 - -10.1. Let j = -41.049 - a. Let s = j + 13.449. Round s to 0 decimal places. 13 Suppose -y - 4*y - 2130 = 0. Let x = y + -174. Round x to the nearest 1000. -1000 Let m = -67.29 + 64.78932. Let z = m - -2.5. Round z to four dps. -0.0007 Suppose 12 + 0 = -4*s. Round s to the nearest integer. -3 Let x = -3.41448822 + 2.4144882. Let b = x - -1. What is b rounded to 7 decimal places? 0 Let d be (-2 - 1)/(0 - -1). Let w = -3 - d. Suppose t - 2*c + 5796 = w, t = 4*c - 1864 - 3928. What is t rounded to the nearest 1000? -6000 Let f = -0.0668 + 0.12608. Let q = 0.06 - f. What is q rounded to four decimal places? 0.0007 Let z = -0.2 + -0.04. Let i = z - -0.17. Let f = 0.48 + i. Round f to one dp. 0.4 Suppose 3*o = -4*l - 1, o - 1 = -2*l - 0. Suppose -u = l*u + 153. Let i be (u - 1)*(-2)/4. Round i to the nearest ten. 30 Let f = 0.15029 + 0.00964. Let r = 0.16 - f. What is r rounded to four decimal places? 0.0001 Let c = -10 + 10.015. Round c to two decimal places. 0.02 Let j = 100 + 2. Let k = j + -46. Let i = -56.00000029 + k. Round i to 7 decimal places. -0.0000003 Let u(t) = -2*t**3 + 3*t**2 + 2*t. Let j be u(4). What is j rounded to the nearest ten? -70 Let f = -89806.199988 + 89808. Let n = -1.8 + f. What is n rounded to five decimal places? 0.00001 Let v = 25800309223822196 + -25800310510154393.9999957. Let o = -1286332305 - v. Let i = -107 - o. Round i to six decimal places. 0.000004 Let p = -127.0000113 + 127. Round p to six decimal places. -0.000011 Suppose -4*d - 4*l = 100, -3*d - 72 = 3*l - l. Let q be 11660004/(-22) + (-4)/d. What is q rounded to the nearest 100000? -500000 Let w(s) = 8003*s + 3. Let y be w(-1). Round y to the nearest 10000. -10000 Let q be 1/2 - (-998103)/2. Let d = 1069053 - q. Let i be (-1)/3 - d/(-3). Round i to the nearest 100000. 200000 Let n = 57 + 47. Round n to the nearest 10. 100 Let z = -1.27 + 28.87. Let f = z + -53.8. What is f rounded to 0 decimal places? -26 Let c = -0.077 - 1.243. Let a = -2654 + 2652.621. Let f = c - a. What is f rounded to 2 dps? 0.06 Let n(c) = -7*c**2 - 4*c. Let z be n(-4). Let q = z + 156. Round q to the nearest 100. 100 Let k = -101.7 - -4.7. Let s = k + 97.059. What is s rounded to 2 dps? 0.06 Let y = 3 + -3.0004. What is y rounded to four dps? -0.0004 Let n = 9.500252 + -9.5. Round n to five dps. 0.00025 Let d = -16.925 - -17. Round d to 2 decimal places. 0.08 Let q = -177 - -107. Let w be 0 - q*625*640. Suppose 4*y + 0*y - w = 0. Round y to the nearest one million. 7000000 Let z = 51.00121 - 51. Round z to four dps. 0.0012 Let h be (-8)/(-48) + 11/6. Suppose 4*f - 17552 = -4*q, 1758 + 2624 = f - h*q. Suppose -f = -4*p + 22414. What is p rounded to the nearest one thousand? 7000 Let y = -117 - -57. Let k = y + 60.00171. Round k to 4 decimal places. 0.0017 Let n(t) = -134287*t + 9. Let s(z) = z**3 + z**2 + z - 2. Let j be s(0). Let w be 2*1/j - -8. Let i be n(w). Round i to the nearest 100000. -900000 Let k = 81.64 + -79. Let u = 0.06 + k. Let j = 2.666 - u. What is j rounded to 2 dps? -0.03 Let z = -171 - -83. Let t = z + 88.000117. Round t to 5 dps. 0.00012 Let p = 0.14 + -0.14000015. Round p to seven dps. -0.0000002 Let d = -4279512 - 6220488. Round d to the nearest one million. -11000000 Let o(k) = k**3 - 6*k**2 + 2*k - 9. Let q be o(6). Suppose 81844 = q*a - a. Suppose t = -106922 + a. Round t to the nearest ten thousand. -70000 Let z = 3 + -10. Let a = -4 - z. Let r = a + -3.000028. What is r rounded to five dps? -0.00003 Let x = 190.921 + -191. Let z = -0.0790066 - x. Round z to 6 dps. -0.000007 Let b = -13 + 12.9972. Round b to three decimal places. -0.003 Let m = -19 + 13. Let f(j) = -j**2 - 7*j - 9. Let d be f(m). Let k be 67/d*(-3 - -3003). What is k rounded to the nearest ten thousand? -70000 Suppose -3*s + 41039178 = 4*t - 3960834, 0 = -5*s + 4*t + 74999988. Let n be (-1 + 2/6)*s. What is n rounded to the nearest 1000000? -10000000 Suppose 0*g - 2*g - 566990 = -3*t, t = 2*g + 188990. Round t to the nearest ten thousand. 190000 Let k = -7 + 0. Let m be 672006/21 + 2/k. Round m to the nearest 10000. 30000 Suppose -2*r + 2940 = 4*h, 3*r = -r - h + 5880. Suppose -r = -3*l - 420. Let k = l + -1110. What is k rounded to the nearest 100? -800 Let m = 786 + -57542. Let s = m + 34509. Let r = s - -133247. Round r to the nearest ten thousand. 110000 Let b be 5*1/(1/(-366)). Let u = -3330 - b. Round u to the nearest 1000. -2000 Let b be (0 + 0)*(-3)/6. Suppose -5*d = -3*l - 162 - 96, -5*d - 5*l + 250 = b. Round d to the nearest ten. 50 Let m = -0.4 - -6.9. Let a = -13.1 + 14. Let p = m + a. What is p rounded to the nearest integer? 7 Let v = 42.1 + -3.1. Let o = -40.9 + v. Let m = -8.5 - o. Round m to the nearest integer. -7 Suppose -2 = 2*u, -2*x + 5*u - 147012 - 56983 = 0. What is x rounded to the nearest ten thousand? -100000 Let f(g) = 20998*g**2 + 8*g - 6. Let m be f(3). What is m rounded to the nearest 100000? 200000 Let l = 19.608 + -22.01. Let z = l - -1.55. Let d = -0.012 - z. Round d to one dp. 0.8 Let u be (-4)/(-20) + (-11996)/(-20). Round u to the nearest 100. 600 Let w = 37 + -36. Let g = -305.9 - -306.9056. Let n = g - w. What is n rounded to three decimal places? 0.006 Let d = -21 - -5. Let f = 10 + d. Let p = f + 6.0094. What is p rounded to 3 dps? 0.009 Let w = -267306.3 + 267320.019276. Let h = -13.1492697 + w. Let q = -0.57 + h. What is q rounded to 6 dps? 0.000006 Let j be (-1)/2*12/(-3). Suppose j*i = i - 57000. What is i rounded to the nearest 10000? -60000 Let t be (6/4)/((-3)/(-4)). Suppose -484 = 3*v - 6*v + k, 2*v + t*k = 328. What is v rounded to the nearest 10? 160 Let n(f) = 2*f**3 + 6*f**2 - 6*f. Let k(t) = -t - 11. Let m be k(-6). Let a = 9 + m. Let o be n(a). Round o to the nearest 100. 200 Let t(x) = x. Let y be t(-3). Let w be (-1)/y*0*1. Suppose w = -3*u - 2*u - 100000. What is u rounded to the nearest one hundred thousand? 0 Suppose o = 3 - 0. Suppose 3*v - 16134592 = -5*z, -o*z + 8153221 + 1527532 = 4*v. Suppose h - 1073081 = z. What is h rounded to the nearest one million? 4000000 Let u = -1 + 0. Let i = -12112.9999 + 12112. Let l = i - u. What is l rounded to four decimal places? 0.0001 Suppose -3694397 = 2*s - v - 834396, 5*s = -3*v - 7149997. What is s rounded to the nearest one hundred thousand? -1400000 Let q = 0.68 + -0.08. Let a = 0 - q. Let j = -0.546 - a. What is j rou
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from ccyszscosyx. 3/55 What is prob of picking 2 g when two letters picked without replacement from {k: 1, g: 2}? 1/3 Two letters picked without replacement from {u: 7, b: 3, v: 2, l: 2, m: 1, r: 3}. Give prob of picking 1 r and 1 l. 2/51 Four letters picked without replacement from yfyqefefkfkfeqyfek. Give prob of picking 2 q, 1 k, and 1 e. 1/255 Two letters picked without replacement from mtbbbmbyybyyytbtbbt. What is prob of picking 2 m? 1/171 Three letters picked without replacement from ieeeiqeqqiiei. What is prob of picking 1 e and 2 q? 15/286 What is prob of picking 2 j when two letters picked without replacement from hkjjkkjjhhjhdjhjjjh? 4/19 Four letters picked without replacement from tnxxrngixrr. What is prob of picking 1 g, 1 t, and 2 n? 1/330 Four letters picked without replacement from {t: 8, p: 4, c: 5, u: 1}. Give prob of picking 2 c and 2 t. 14/153 Three letters picked without replacement from {p: 2, g: 10, a: 4}. Give prob of picking 1 p, 1 g, and 1 a. 1/7 What is prob of picking 4 u when four letters picked without replacement from uuuuuuu? 1 Four letters picked without replacement from {q: 1, c: 10, d: 1, a: 3, s: 2}. Give prob of picking 1 c and 3 a. 1/238 Two letters picked without replacement from {e: 2, n: 2}. What is prob of picking 2 n? 1/6 Two letters picked without replacement from {r: 5, j: 11}. What is prob of picking 2 j? 11/24 Two letters picked without replacement from quppqpufruuu. Give prob of picking 1 r and 1 f. 1/66 What is prob of picking 3 q and 1 c when four letters picked without replacement from {q: 5, c: 11}? 11/182 What is prob of picking 2 q, 1 l, and 1 v when four letters picked without replacement from {q: 4, l: 1, a: 3, v: 5, m: 5}? 1/102 Calculate prob of picking 2 z when two letters picked without replacement from zaz. 1/3 Two letters picked without replacement from dingegg. Give prob of picking 1 i and 1 d. 1/21 Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {u: 3, l: 3, d: 1, j: 3, h: 8, r: 1}. 8/57 Three letters picked without replacement from {n: 1, x: 10, g: 8}. Give prob of picking 1 x, 1 n, and 1 g. 80/969 Two letters picked without replacement from {m: 2, f: 6}. Give prob of picking 2 f. 15/28 Calculate prob of picking 1 i, 1 d, and 1 j when three letters picked without replacement from {d: 1, i: 13, j: 3}. 39/680 Four letters picked without replacement from {c: 10, i: 5, q: 4, b: 1}. What is prob of picking 1 b, 1 i, and 2 q? 2/323 Four letters picked without replacement from {u: 1, b: 1, m: 2, w: 2, x: 1, n: 1}. What is prob of picking 1 m, 1 n, 1 u, and 1 b? 1/35 Two letters picked without replacement from {h: 1, r: 1, d: 2}. Give prob of picking 1 r and 1 d. 1/3 Four letters picked without replacement from {f: 3, i: 4, d: 2, l: 2}. Give prob of picking 2 f, 1 l, and 1 d. 2/55 Four letters picked without replacement from {h: 9, p: 11}. Give prob of picking 3 p and 1 h. 99/323 Two letters picked without replacement from {w: 4, y: 2, a: 7, n: 3, m: 1}. Give prob of picking 1 w and 1 y. 1/17 What is prob of picking 1 u and 1 y when two letters picked without replacement from {d: 3, y: 1, u: 7, n: 6, e: 2}? 7/171 Four letters picked without replacement from {h: 3, k: 4, x: 4}. What is prob of picking 1 k and 3 x? 8/165 Three letters picked without replacement from ykkktyykyymttytyyk. Give prob of picking 3 k. 5/408 Two letters picked without replacement from aajgaqgjajggqjaqgqja. What is prob of picking 1 q and 1 j? 2/19 Four letters picked without replacement from {e: 1, u: 6, p: 4}. Give prob of picking 4 u. 1/22 What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 7, z: 4, c: 5}? 7/30 Calculate prob of picking 1 m, 1 d, and 1 q when three letters picked without replacement from nndmdq. 1/10 Calculate prob of picking 2 a when two letters picked without replacement from {d: 9, a: 9}. 4/17 Two letters picked without replacement from {v: 6, o: 2, h: 2, c: 1, f: 7}. Give prob of picking 1 v and 1 f. 14/51 Calculate prob of picking 1 i and 1 p when two letters picked without replacement from iyypppp. 4/21 What is prob of picking 2 u when two letters picked without replacement from {u: 2, v: 1, l: 1, r: 4}? 1/28 What is prob of picking 1 f, 1 r, and 1 y when three letters picked without replacement from {y: 3, a: 3, r: 1, h: 1, z: 3, f: 4}? 12/455 Calculate prob of picking 1 l and 2 m when three letters picked without replacement from mmuumml. 6/35 What is prob of picking 3 t and 1 h when four letters picked without replacement from tprtthp? 1/35 Three letters picked without replacement from {g: 2, e: 1, o: 3, u: 1}. Give prob of picking 1 g, 1 o, and 1 u. 6/35 What is prob of picking 1 j and 2 q when three letters picked without replacement from {i: 2, y: 1, j: 5, q: 1, k: 2, u: 5}? 0 Three letters picked without replacement from {g: 3, x: 4}. Give prob of picking 1 g and 2 x. 18/35 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from kxokxkxxxoxkkx. 2/13 What is prob of picking 1 z and 1 g when two letters picked without replacement from gzpvv? 1/10 Four letters picked without replacement from {g: 6, b: 1, l: 3, f: 1, k: 6}. Give prob of picking 3 l and 1 f. 1/2380 What is prob of picking 1 s, 1 i, and 2 o when four letters picked without replacement from tsosiioisiisoi? 72/1001 Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ollopocpcoloouopopo. 1/19 Two letters picked without replacement from hhhhhhhfdhhhhf. Give prob of picking 1 h and 1 f. 22/91 Three letters picked without replacement from gtizi. What is prob of picking 2 i and 1 z? 1/10 What is prob of picking 4 g when four letters picked without replacement from ogggggggogggg? 6/13 Two letters picked without replacement from ejajjhhyajey. What is prob of picking 1 h and 1 a? 2/33 What is prob of picking 1 q and 2 k when three letters picked without replacement from {v: 1, q: 3, k: 3, d: 6}? 9/286 Calculate prob of picking 1 c, 2 q, and 1 k when four letters picked without replacement from {q: 9, k: 1, c: 1}. 6/55 What is prob of picking 1 i and 1 d when two letters picked without replacement from ididiidi? 15/28 Four letters picked without replacement from {i: 3, d: 9, y: 7}. Give prob of picking 4 d. 21/646 What is prob of picking 1 z and 1 d when two letters picked without replacement from dzzdzzdzzdzzd? 20/39 Four letters picked without replacement from {z: 1, w: 1, c: 2, m: 1, t: 3, j: 3}. Give prob of picking 1 t, 1 z, and 2 j. 3/110 What is prob of picking 1 z, 1 b, and 1 y when three letters picked without replacement from bpybyabybnzbbbpay? 7/170 Three letters picked without replacement from zzmemmermmezm. What is prob of picking 2 m and 1 e? 45/286 What is prob of picking 2 l and 1 e when three letters picked without replacement from enwlhwkhlhlhln? 3/182 Four letters picked without replacement from uxxuuxuuuxyyxuuyx. What is prob of picking 3 x and 1 y? 3/119 What is prob of picking 3 c when three letters picked without replacement from {c: 10, y: 2}? 6/11 Two letters picked without replacement from {i: 6, s: 13}. Give prob of picking 2 i. 5/57 Two letters picked without replacement from zww. Give prob of picking 2 w. 1/3 Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kkkxxgxgxxkgxxxx. 1/10 Two letters picked without replacement from {b: 10, a: 1, q: 1, f: 7, x: 1}. What is prob of picking 1 x and 1 q? 1/190 Three letters picked without replacement from ddddrddrddd. What is prob of picking 3 r? 0 Calculate prob of picking 2 y and 1 s when three letters picked without replacement from tijjcytscysjsc. 3/364 Two letters picked without replacement from {h: 5, q: 2, w: 2, f: 4}. What is prob of picking 1 h and 1 f? 10/39 Calculate prob of picking 1 i, 1 c, and 2 d when four letters picked without replacement from cdmyigc. 0 What is prob of picking 3 z and 1 s when four letters picked without replacement from {z: 4, c: 3, s: 5}? 4/99 Four letters picked without replacement from zgiigccmici. What is prob of picking 3 i and 1 m? 2/165 Four letters picked without replacement from {x: 2, j: 1, u: 4
{ "pile_set_name": "DM Mathematics" }
of 122972. 2, 71, 433 What are the prime factors of 1339? 13, 103 List the prime factors of 2130. 2, 3, 5, 71 List the prime factors of 3742. 2, 1871 List the prime factors of 24195. 3, 5, 1613 What are the prime factors of 2437? 2437 List the prime factors of 1034. 2, 11, 47 What are the prime factors of 335? 5, 67 List the prime factors of 36777. 3, 13, 23, 41 List the prime factors of 42582. 2, 3, 47, 151 List the prime factors of 636. 2, 3, 53 List the prime factors of 8156. 2, 2039 List the prime factors of 7623. 3, 7, 11 What are the prime factors of 2115? 3, 5, 47 What are the prime factors of 6105? 3, 5, 11, 37 What are the prime factors of 1171? 1171 What are the prime factors of 4878? 2, 3, 271 List the prime factors of 143. 11, 13 What are the prime factors of 5437? 5437 List the prime factors of 21677. 53, 409 List the prime factors of 1320. 2, 3, 5, 11 What are the prime factors of 16488? 2, 3, 229 What are the prime factors of 887? 887 What are the prime factors of 42785? 5, 43, 199 What are the prime factors of 16316? 2, 4079 What are the prime factors of 13093? 13093 List the prime factors of 200. 2, 5 What are the prime factors of 7108? 2, 1777 What are the prime factors of 49149? 3, 43, 127 List the prime factors of 2440. 2, 5, 61 List the prime factors of 8793. 3, 977 What are the prime factors of 5118? 2, 3, 853 What are the prime factors of 6351? 3, 29, 73 What are the prime factors of 719? 719 List the prime factors of 3347. 3347 List the prime factors of 1199. 11, 109 What are the prime factors of 7142? 2, 3571 What are the prime factors of 3166? 2, 1583 What are the prime factors of 78808? 2, 9851 List the prime factors of 4355. 5, 13, 67 List the prime factors of 3549. 3, 7, 13 What are the prime factors of 581? 7, 83 List the prime factors of 59759. 7, 8537 What are the prime factors of 321? 3, 107 List the prime factors of 281. 281 List the prime factors of 1761. 3, 587 What are the prime factors of 80655? 3, 5, 19, 283 What are the prime factors of 52203? 3, 17401 What are the prime factors of 1065? 3, 5, 71 List the prime factors of 1775. 5, 71 What are the prime factors of 2820? 2, 3, 5, 47 List the prime factors of 140028. 2, 3, 7, 1667 List the prime factors of 81. 3 What are the prime factors of 688? 2, 43 What are the prime factors of 825? 3, 5, 11 What are the prime factors of 17711? 89, 199 What are the prime factors of 25767? 3, 7, 409 What are the prime factors of 9111? 3, 3037 What are the prime factors of 14626? 2, 71, 103 What are the prime factors of 49403? 127, 389 What are the prime factors of 3455? 5, 691 List the prime factors of 1036. 2, 7, 37 List the prime factors of 70. 2, 5, 7 List the prime factors of 7778. 2, 3889 What are the prime factors of 69025? 5, 11, 251 What are the prime factors of 49226? 2, 151, 163 List the prime factors of 127. 127 What are the prime factors of 69989? 17, 23, 179 What are the prime factors of 94388? 2, 7, 3371 List the prime factors of 2594. 2, 1297 List the prime factors of 5748. 2, 3, 479 What are the prime factors of 186154? 2, 93077 List the prime factors of 18892. 2, 4723 What are the prime factors of 6275? 5, 251 List the prime factors of 5028. 2, 3, 419 List the prime factors of 519. 3, 173 List the prime factors of 2537. 43, 59 What are the prime factors of 7937? 7937 List the prime factors of 133338. 2, 3, 71, 313 List the prime factors of 7723. 7723 List the prime factors of 1540. 2, 5, 7, 11 List the prime factors of 1316. 2, 7, 47 What are the prime factors of 1456? 2, 7, 13 List the prime factors of 1017. 3, 113 What are the prime factors of 1747? 1747 List the prime factors of 23512. 2, 2939 What are the prime factors of 1669? 1669 What are the prime factors of 6718? 2, 3359 What are the prime factors of 2930? 2, 5, 293 List the prime factors of 34675. 5, 19, 73 List the prime factors of 385. 5, 7, 11 What are the prime factors of 6471? 3, 719 What are the prime factors of 5014? 2, 23, 109 What are the prime factors of 9427? 11, 857 What are the prime factors of 3948? 2, 3, 7, 47 What are the prime factors of 107780? 2, 5, 17, 317 List the prime factors of 20120. 2, 5, 503 What are the prime factors of 57? 3, 19 List the prime factors of 11910. 2, 3, 5, 397 What are the prime factors of 10932? 2, 3, 911 List the prime factors of 8923. 8923 What are the prime factors of 34728? 2, 3, 1447 List the prime factors of 2630. 2, 5, 263 What are the prime factors of 5533? 11, 503 List the prime factors of 13563. 3, 11, 137 What are the prime factors of 74? 2, 37 What are the prime factors of 10363? 43, 241 What are the prime factors of 878? 2, 439 What are the prime factors of 2031? 3, 677 List the prime factors of 13201. 43, 307 List the prime factors of 969. 3, 17, 19 List the prime factors of 38159. 11, 3469 What are the prime factors of 41353? 13, 3181 What are the prime factors of 7349? 7349 What are the prime factors of 920? 2, 5, 23 List the prime factors of 158. 2, 79 List the prime factors of 817. 19, 43 List the prime factors of 10736. 2, 11, 61 What are the prime factors of 47058? 2, 3, 11, 23, 31 What are the prime factors of 3824? 2, 239 What are the prime factors of 142? 2, 71 List the prime factors of 626. 2, 313 What are the prime factors of 18104? 2, 31, 73 What are the prime factors of 139? 139 List the prime factors of 80454. 2, 3, 11, 23, 53 List the prime factors of 1594. 2, 797 List the prime factors of 1203. 3, 401 What are the prime factors of 1976? 2, 13, 19 List the prime factors of 49957. 49957 List the prime factors of 483. 3, 7, 23 What are the prime factors of 1253? 7, 179 List the prime factors of 127908. 2, 3, 11, 17, 19 List the prime factors of 624. 2, 3, 13 List the prime factors of 865. 5, 173 List the prime factors of 1065. 3, 5, 71 What are the prime factors of 118639? 29, 4091 List the prime factors of 241. 241 What are the prime factors of 140225? 5, 71, 79 What are the prime factors of 36476? 2, 11, 829 List the prime factors of 36514. 2, 18257 List the prime factors of 1538. 2, 769 What are the prime factors of 41610? 2, 3, 5, 19, 73 What are the prime factors of 17334? 2, 3, 107 List the prime factors of 7389. 3, 821 What are the prime factors of 10386? 2, 3, 577 List the prime factors of 42966. 2, 3, 7, 11, 31 List the prime factors of 4774. 2, 7, 11, 31 What are the prime factors of 31354? 2, 61, 257 What are the prime factors of 14656? 2, 229 What are the prime factors of 8381? 17, 29 List the prime factors of 58779. 3, 7, 311 What are the prime factors of 7280? 2, 5, 7, 13 What are the prime factors of 16159? 11, 13, 113 List the prime factors of 26840. 2, 5, 11, 61 What are the prime factors of 37860? 2, 3, 5, 631 What are the prime factors of 439? 439 What are the prime factors of 3867? 3, 1289 What are the prime factors of 14651? 7, 13, 23 List the prime factors of 11426. 2, 29, 197 What are the prime factors of 120811? 120811 What are the prime factors of 11222? 2, 31, 181 What are the prime factors of 905? 5, 181 What are the prime factors of 260? 2, 5, 13 What are the prime factors of 86810? 2, 5, 8681 List the prime factors of 35340. 2, 3, 5, 19, 31 What are the prime factors of 46487? 7, 29, 229 What are the prime factors of 50537? 97, 521 List the prime factors of 2658. 2, 3, 443 List the prime factors of 539. 7, 11 List the prime factors of 1531. 1531 List the prime factors of 7378. 2, 7, 17, 31 What are the prime factors of 1012? 2, 11, 23 What are the prime factors of 6542? 2, 3271 List the prime factors of 1297. 1297 What are the prime factors of 42297? 3, 23, 613 List the prime factors of 1936. 2, 11 List the prime factors of 4869. 3, 541 What are the prime factors of 52286? 2, 13, 2011 What are the prime factors of 1486? 2, 743 What are the prime factors of 2511? 3, 31 List the prime factors of 10777. 13, 829 List the prime factors of 76290. 2, 3, 5, 2543 What are the prime factors of 616? 2, 7, 11 List the prime factors of 1706. 2, 853 List the prime factors of 8022. 2, 3, 7, 191 List the prime factors of 315. 3, 5, 7 List the prime factors of 57977. 57977 List the prime factors of 369. 3, 41 What are the prime factors of 303? 3, 101 What are the prime factors of 587? 587 What are the prime
{ "pile_set_name": "DM Mathematics" }
without replacement from {t: 2, s: 1, v: 2, r: 1}. Give prob of picking 1 t, 1 v, and 1 s. 1/5 What is prob of picking 1 b and 1 j when two letters picked without replacement from {o: 4, j: 5, b: 8}? 5/17 Two letters picked without replacement from {t: 4, i: 2, e: 11, g: 1, h: 1, l: 1}. Give prob of picking 1 t and 1 l. 2/95 Calculate prob of picking 3 h when three letters picked without replacement from hhhthhhphhphhttt. 3/14 Four letters picked without replacement from {l: 1, c: 4, p: 2, g: 2, f: 3, b: 8}. Give prob of picking 2 p, 1 b, and 1 g. 16/4845 Three letters picked without replacement from {w: 2, d: 1, s: 1, o: 1}. Give prob of picking 1 s, 1 w, and 1 o. 1/5 Two letters picked without replacement from auvvauauvvvvuuveu. What is prob of picking 1 v and 1 u? 21/68 Three letters picked without replacement from {i: 2, l: 17}. Give prob of picking 3 l. 40/57 Three letters picked without replacement from {b: 2, s: 3, a: 3, j: 2, w: 2, e: 6}. Give prob of picking 1 b and 2 a. 1/136 Calculate prob of picking 2 h and 2 w when four letters picked without replacement from hhhhhwwwwwhww. 63/143 Calculate prob of picking 2 g when two letters picked without replacement from ggkkokkpkkkoopk. 1/105 Two letters picked without replacement from ujujjuucuujc. Give prob of picking 1 c and 1 u. 2/11 Four letters picked without replacement from zzhzzzzzhzzhzh. What is prob of picking 1 z and 3 h? 40/1001 Two letters picked without replacement from {v: 3, y: 1, i: 2, l: 5, e: 3, c: 1}. Give prob of picking 1 l and 1 e. 1/7 Four letters picked without replacement from {r: 14, f: 4}. Give prob of picking 4 f. 1/3060 Two letters picked without replacement from crrmurrt. Give prob of picking 1 m and 1 c. 1/28 Three letters picked without replacement from {v: 7, z: 2, e: 3, m: 1, t: 3, x: 3}. What is prob of picking 1 x and 2 v? 21/323 Two letters picked without replacement from vvjjjvvjjjjv. Give prob of picking 1 j and 1 v. 35/66 Two letters picked without replacement from tuutmuultl. What is prob of picking 2 u? 2/15 What is prob of picking 1 s and 2 y when three letters picked without replacement from {k: 1, b: 6, y: 3, d: 1, c: 1, s: 1}? 3/286 What is prob of picking 1 h and 1 e when two letters picked without replacement from fhfhfevvqqhfhhh? 2/35 Three letters picked without replacement from {s: 3, z: 3, b: 3, l: 2, w: 6}. What is prob of picking 1 w and 2 l? 3/340 Two letters picked without replacement from fyded. What is prob of picking 1 d and 1 y? 1/5 Two letters picked without replacement from {x: 2, o: 2, c: 9}. Give prob of picking 2 c. 6/13 What is prob of picking 3 h when three letters picked without replacement from {h: 6, k: 2}? 5/14 Four letters picked without replacement from {n: 2, w: 5, h: 8}. Give prob of picking 1 n and 3 h. 16/195 What is prob of picking 1 w and 1 r when two letters picked without replacement from wmwirzimimiiiizwzmi? 1/57 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from ypp. 2/3 Two letters picked without replacement from {t: 7, p: 4}. Give prob of picking 1 t and 1 p. 28/55 Calculate prob of picking 1 n, 1 r, and 1 e when three letters picked without replacement from {n: 3, x: 2, r: 3, k: 2, e: 3}. 27/286 What is prob of picking 1 q, 2 n, and 1 r when four letters picked without replacement from {n: 2, q: 5, r: 2}? 5/63 Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, y: 1}. 1/3 Two letters picked without replacement from {l: 2, k: 1, h: 1, e: 4}. What is prob of picking 1 k and 1 l? 1/14 Calculate prob of picking 3 k and 1 t when four letters picked without replacement from jtkjkjtktl. 1/70 Four letters picked without replacement from qdggggugquggqdgqq. What is prob of picking 1 u, 2 q, and 1 d? 2/119 Three letters picked without replacement from {i: 1, b: 3}. Give prob of picking 1 i and 2 b. 3/4 Calculate prob of picking 1 l, 1 y, and 1 n when three letters picked without replacement from {n: 6, l: 3, d: 1, h: 4, y: 4, i: 2}. 6/95 Calculate prob of picking 1 l, 1 o, and 1 d when three letters picked without replacement from olgolboooogdg. 6/143 Three letters picked without replacement from uweawuwnnus. Give prob of picking 1 a, 1 w, and 1 n. 2/55 What is prob of picking 1 x and 1 s when two letters picked without replacement from ssxssxsxxxssxsssssx? 28/57 What is prob of picking 2 j when two letters picked without replacement from ajaaajjjjaja? 5/22 Three letters picked without replacement from byybffbffbnyobb. Give prob of picking 1 f and 2 b. 12/91 What is prob of picking 1 s and 1 x when two letters picked without replacement from {w: 2, s: 1, k: 1, x: 3}? 1/7 What is prob of picking 1 s, 1 n, 1 b, and 1 q when four letters picked without replacement from nsbnbbnnqjbb? 4/99 Calculate prob of picking 3 u when three letters picked without replacement from wwuwwwwawuuuwwuww. 1/68 Four letters picked without replacement from zwyyyyqzy. Give prob of picking 2 y, 1 w, and 1 q. 5/63 Four letters picked without replacement from {j: 3, f: 3}. Give prob of picking 2 f and 2 j. 3/5 What is prob of picking 4 i when four letters picked without replacement from {a: 15, i: 5}? 1/969 Two letters picked without replacement from {w: 5, k: 7}. Give prob of picking 2 w. 5/33 What is prob of picking 1 e and 2 q when three letters picked without replacement from eadqqjqjyyqj? 3/110 Four letters picked without replacement from vkkkxkvkvvkvkkvvxkx. What is prob of picking 2 k and 2 v? 63/323 Calculate prob of picking 1 v, 1 m, 1 i, and 1 s when four letters picked without replacement from ivmsxsv. 4/35 Four letters picked without replacement from hhhhnkbqnhlnhhhqk. What is prob of picking 2 k, 1 b, and 1 n? 3/2380 What is prob of picking 2 j, 1 m, and 1 r when four letters picked without replacement from {j: 5, m: 7, r: 2}? 20/143 Three letters picked without replacement from awayahawshsahssa. Give prob of picking 2 a and 1 h. 9/112 Three letters picked without replacement from jrrbrbjjjjebzjfeeeer. Give prob of picking 1 j, 1 r, and 1 f. 2/95 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {e: 1, x: 1, r: 2, p: 1, v: 1, l: 1}. 1/21 What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 4, a: 4, h: 8, v: 2, b: 1}? 16/171 Three letters picked without replacement from hkkhhhhkkk. Give prob of picking 2 h and 1 k. 5/12 Three letters picked without replacement from {f: 1, b: 1, n: 1, w: 1, l: 1}. What is prob of picking 3 b? 0 What is prob of picking 2 s and 2 f when four letters picked without replacement from fsfsffssfsss? 14/33 Two letters picked without replacement from ttqttqtttttqqttttt. What is prob of picking 2 q? 2/51 Four letters picked without replacement from {z: 7, v: 5}. Give prob of picking 4 z. 7/99 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {b: 2, u: 4, m: 1}. 4/21 Two letters picked without replacement from oofafogafffq. What is prob of picking 1 a and 1 f? 5/33 Four letters picked without replacement from {k: 6, l: 4, c: 5, b: 4}. Give prob of picking 4 b. 1/3876 Four letters picked without replacement from zykdjyjyjjyznn. Give prob of picking 1 j, 2 y, and 1 k. 24/1001 What is prob of picking 2 c when two letters picked without replacement from hxhccchhxhhxhchh? 1/20 What is prob of picking 3 b and 1 t when four letters picked without replacement from bbbbbbbbtbbbbbbtbb? 56/153 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from llblzkmllmiklbkilikk. 21/190 What is prob of picking 2 c, 1 p, and 1 t when four letters picked without replacement from {p: 1, j: 1, c: 5, b: 1, x: 4, t: 1}? 2/143 Four letters picked without replacement from {y: 1, m: 3, x: 5, z: 3}. Give prob of picking 2 z, 1 y, and 1 m. 1/55 What is prob of picking 1 f, 1 i, and 1 s when three letters picked without replacement from {i: 1, s: 7, f: 2, r: 1, q: 9}? 7/570 What is prob of picking 3 w when three letters picked without replacement from illlewimwlewwiwwi? 1/34 Two letters picked without replacement from eeaeneeeeeeeznnaeeaz. What is prob of picking 1 a and 1 n? 9/190 Four letters picked without replacement from ggzlz
{ "pile_set_name": "DM Mathematics" }
67 Solve -144 = -757034*q + 757037*q for q. -48 Solve -17220 - 33196 = 1096*v for v. -46 Solve -1150 = 287*h + 2007 for h. -11 Solve -977*u + 29470 = -1398*u for u. -70 Solve 1078*g + 40240 = 72*g for g. -40 Solve -2371 - 15201 - 31818 = -2245*s for s. 22 Solve 152*p = -222*p + 6502 + 230 for p. 18 Solve -126466*t - 1421 = -126263*t for t. -7 Solve 5216672*h - 5216807*h - 4590 = 0 for h. -34 Solve 227*s + 49312 - 810 = -478*s - 143 for s. -69 Solve -27162*c + 266 - 68 + 63 = -27153*c for c. 29 Solve 619*y + 3168*y + 592*y - 256*y = -98952 for y. -24 Solve -69*i + 22951 = 157*i + 3967 for i. 84 Solve 99*x + 270 + 39 + 87 = 0 for x. -4 Solve -30*n + 603762 = 600312 for n. 115 Solve -787 + 3756 = 237*t - 3193 for t. 26 Solve 168696 = -2197*k - 135419 + 97597 for k. -94 Solve -95*m = 16*m + 2597 - 6149 for m. 32 Solve 1451*u - 400923 + 460414 = 0 for u. -41 Solve 94*b - 232*b = -83*b - 275 for b. 5 Solve -8686*m + 13106*m = -9256*m - 328224 for m. -24 Solve -2953 = -156*z + 1727 for z. 30 Solve -832*z - 245*z - 47*z = 107904 for z. -96 Solve 0 = -3519*v - 374077 + 74962 for v. -85 Solve 306*s = -678 + 1394 + 508 for s. 4 Solve -4665*r - 80984 - 68296 = 0 for r. -32 Solve -50180 + 18833 = 2108*x + 40150 - 6149 for x. -31 Solve -9881*l + 5086*l = -3405*l + 45870 for l. -33 Solve 781*s + 6299 - 53739 + 4485 = 0 for s. 55 Solve -139*s + 26576 = 59*s + 406*s for s. 44 Solve -1115 = 145*r - 42*r - 4411 for r. 32 Solve 3357*y - 92139 = 324129 for y. 124 Solve -55125 - 45219 = 35*s - 328*s - 595*s for s. 113 Solve b - 331 = 28*b + 284 - 21 for b. -22 Solve -48*y - 46*y + 4*y - 3510 = 0 for y. -39 Solve -188*t - 9072 = -429*t - 893*t for t. 8 Solve 0 = -191*z - 9710 + 25181 for z. 81 Solve 11035 + 2381 = -312*f for f. -43 Solve 0 = -94084*m + 93941*m - 9152 for m. -64 Solve 2053*y + 256810 = 102*y - 197*y + 43*y for y. -122 Solve -1071 - 1499 = 55*w + 15 for w. -47 Solve -12727 - 13827 = 844*k - 4879 - 1419 for k. -24 Solve -145*p - 120*p - 8404 = -74*p for p. -44 Solve -23*o + 5292 = 22*o - 192*o for o. -36 Solve -7162*m + 16851 = -1545*m for m. 3 Solve 348*a - 988*a + 899 = -4221 for a. 8 Solve 57526 + 16626 = -1196*k for k. -62 Solve 113*k + 1092 - 13153 = -2128*k + 1385 for k. 6 Solve 864 = -100778*h + 100802*h for h. 36 Solve 28*w + 272*w + 183*w - 9380 = 14*w for w. 20 Solve 60*y + 1152 - 2054 - 2652 = 766 for y. 72 Solve 2477*v + 1352*v = -617*v - 244530 for v. -55 Solve -224*w = 5775 - 3227 + 4620 for w. -32 Solve 92*f = -45*f - 9984 - 1935 for f. -87 Solve -329*g + 1319 = -1493 + 6287 + 3105 for g. -20 Solve -102450 = 8155*r - 4057*r for r. -25 Solve 2190 = 44*w - 6*w + 43*w - 1212 for w. 42 Solve -369452 = 74*y - 366196 for y. -44 Solve 542*n - 32085 = 882*n - 619*n for n. 115 Solve 32*r - 55*r - 1513 = -98*r - 14*r for r. 17 Solve 525*v + 330*v + 89596 = -5309 for v. -111 Solve 16319 = 262*t + 6363 for t. 38 Solve 69*s = 42*s + 52*s + 125 for s. -5 Solve 2305*c - 41522 + 10636 - 61050 = 32534 for c. 54 Solve 43209*s = 21604*s + 21602*s + 33 for s. 11 Solve -472765 = -498*n - 447367 for n. 51 Solve 125*t + 1059 = 4434 for t. 27 Solve -3329*b = -2879*b + 37350 for b. -83 Solve 75*k + 138846 = 137796 for k. -14 Solve 13314 + 9843 = -124*y - 623*y for y. -31 Solve 12573*i + 319316 = -435064 for i. -60 Solve 2124*x - 186276 = -980*x + 938*x for x. 86 Solve -21*n + 21*n - 4 = 43*n + 598 for n. -14 Solve 0 = -12419*z + 13946*z + 79404 for z. -52 Solve 14250275*z = 14250277*z - 84 for z. 42 Solve -106548*x = -106577*x - 1044 for x. -36 Solve 154*i + 1439*i + 68079 = 876*i - 1346*i for i. -33 Solve -115*k - 72 - 128 = -775 for k. 5 Solve 11109*f = 10915*f - 5820 for f. -30 Solve 767*q + 8468 = 4689 - 28435 for q. -42 Solve 2*u + 2681 = -181*u - 6303 + 17 for u. -49 Solve 475*c - 4575 - 1946 - 11528 - 15676 = 0 for c. 71 Solve 33*u + 979294 = 981109 for u. 55 Solve 22*i + 77520 + 35502 = -410*i - 1206*i for i. -69 Solve 55633 = -3487*r + 9905*r - 268147 - 93390 for r. 65 Solve -2522*a - 2736 = -5035*a + 2441*a for a. 38 Solve -3395 = -3*i - 5*i - 59*i - 7013 for i. -54 Solve 16*y - 177 + 302 = 237 for y. 7 Solve 203287 - 92926 = 3422*b - 102112 - 122883 for b. 98 Solve -10585*a - 325570 = 2059*a - 52072 + 67890 for a. -27 Solve 20*m + 2304 = 1464 for m. -42 Solve 11*v + 211164 - 211395 = 0 for v. 21 Solve -3*q + 130*q = 319*q - 2880 for q. 15 Solve -2035*u + 4220*u + 5104 = 2097*u for u. -58 Solve 1498*l - 2244*l = -7519 + 29800 + 62763 for l. -114 Solve 1632*a + 160*a - 18002 = -2597 + 27603 for a. 24 Solve 0 = 293*x - 4067 - 5516 - 6031 + 5066 for x. 36 Solve -7902*m - 143 + 143 = 0 for m. 0 Solve 753*c + 26*c - 38950 = 0 for c. 50 Solve -12706 + 46988 = -2621*j + 24556 - 84630 for j. -36 Solve 4692 - 18419 = 259*p for p. -53 Solve 367 = 242*w - 440 + 81 - 0 for w. 3 Solve -539*z = 273*z + 47908 for z. -59 Solve 427*z + 1837 = 312*z + 227 for z. -14 Solve 4745*h - 123682 = -12*h for h. 26 Solve 19*h + 81*h = -36*h - 904 - 4400 for h. -39 Solve -508 + 974 = -22*r + 1720 for r. 57 Solve 35436 = -629*i - 2252*i - 13541 for i. -17 Solve -5577417*j - 986 = -5577475*j for j. 17 Solve -632*q + 818 = 186 for q. 1 Solve -489*h - 10043 = -840*h + 456*h - 1328 for h. -83 Solve 0 = 1800*w - 47114 - 9778 - 33108 for w. 50 Solve 37*p + 40357 = 582*p - 1608 for p. 77 Solve 6434*t + 4859 = 6547*t for t. 43 Solve -2672*t = 2951*t - 1749*t + 57556 + 27672 for t. -22 Solve 0 = -162*g - 138*g + 132 - 718 - 3614 for g. -14 Solve -67821 = 71*h - 68602 for h. 11 Solve -125*n - 19811 = 489*n + 32379 for n. -85 Solve -61*y - 91*y - 65*y - 101*y = -275*y for y. 0 Solve 290*w + 259*w + 20790 = -221*w for w. -27 Solve -21*l + 1038 + 1818 = 26*l + 9*l for l. 51 Solve -26*y = 28*y + 5668 - 646 for y. -93 Solve -16*a - 28353 - 270 = -825*a + 25580 for a. 67 Solve -36127 - 13343 + 20741 = -706*h + 31987 for h. 86 Solve 55*k - 321 + 1119 = -1072 for k. -34 Solve -88*b + 77710 = 1054*b + 415*b + 488*b for b. 38 Solve -841*z + 31356 + 535 = -44640 for z. 91 Solve 77*f + 12*f + 199*f = -33*f + 11235 for f. 35 Solve -8684217*n + 8684274*n - 969 = 0 for n. 17 Solve 2397*c + c - 109129 + 81759 = 198042 for c. 94 Solve 2621*i - 27022 - 22434 = 343 for i. 19 Solve 29*f = -36*f - 5*f + 11*f + 2242 for f. 38 Solve -41819 = -5234*b - 6287*b + 12870*b for b. -31 Solve 35*t - 800 = -13*t - 128 for t. 14 Solve 3783 = 67*q + 5123 for q. -20 Solve 40976 = 592*f - 2832 for f. 74 Solve 196*n + 928 = 112*n - 148*n for n. -4 Solve -524*i + 1055*i - 787 = 507*i + 797 for i. 66 Solve -20*t + 22*t + 28 = -12*t for t. -2 Solve 0 = -5260*u + 5904*u + 28980 for u. -45 Solve -146368*a = -146388*a + 260 for a. 13 Solve -106*i + 155*i + 135*i + 11494 - 1558 = 0 for i. -54 Solve -62699 - 21685 = 1172*k for k. -72 Solve -5426*k + 4719*k + 31815 = 0 for k. 45 Solve 181*g + 6336 = -611*g for g. -8 Solve 16532 - 17012 = 480*j for j. -1 Solve -29068955*n = -29069115*n - 11840 for n. -74 Solve 6899*h + 13595*h + 679140 = 6634*h for h. -49 Solve -1746 - 2611 + 188 - 451 = -110*s for s. 42 Solve -3098*b - 66877 = 261511 for b. -106 Solve 25*p + 11*p + 7210 = -46*p + 12*p for p. -103 Solve 30628*y + 954 = 15419*y + 15368*y for y. 6 Solve -1687*w = -842*w - 858*w - 520 for w. -40 Solve 781*b - 1333*b = -793*b + 4579 - 0 for b. 19 Solve 0 = 381*q - 16031594 + 16018259 for q. 35 Solve -35*h + 2*h + 97*h = 3904 for h. 61 Solve -823*g - 38627 - 37740 + 8793 = -9141 for g. -71 Solve 31091 + 26470 - 212082 = -4115*c + 63574 for c. 53 Solve 0 = 17*r - 2809116 + 2809694 for r. -34 Solve -57*c + 33561 = 29856 for c. 65 Solve -146905 = 2236*g + 28*g - 47289 for g. -44 Solve 0 = -4989*k + 5289*k + 2295 + 1905 for k. -14 Solve 10830*d - 134741 + 84137 - 580036 = 2947*d for d. 80 Solve 35*v + 2*v + 48*v = 1360 for v. 16 Solve 144629*f - 5148 = 144707*f for f. -66 Solve -69*r - 1011*r + 24794 = 152*r - 29414 for r. 44 Solve 620*h = -15271269 + 15345669 for h. 120 Solve -265213 + 105229 = -2222*u for u. 72 Solve -3541*y + 2679 + 6570 = -19079 for y. 8 Solve 170344 = -5075*x - 34778 - 89228 for x. -58 Solve -2433*i + 12457 = 18898 + 23350 + 31034 for i. -25 Solve -108*q = 423*q - 92*q - 426 + 3060 for q. -6 Solve 73*d + 572 = 1594 for d. 14 Solve -169*n + 278 = 109 for n. 1 Solve 14*i - 21*i = 209 - 335 for i. 18 Solve 2694*n - 126540
{ "pile_set_name": "DM Mathematics" }
2*l - 115 = 0, 0 = 4*g + 4*l - 9*l - 158. Solve -21*n = -g + 142 for n. -5 Suppose -3*y = 6*y + 2*y. Solve y = 11*o - 51 - 4 for o. 5 Suppose q + 5*x - 75 = 0, 3*x - 45 = -q + 26. Let p be 10/q - 245/(-13). Let k = 19 - p. Solve k*y - y = 0 for y. 0 Let k = 9774 - 9774. Solve -18*j - 9 - 27 = k for j. -2 Suppose -6*t = -6, 5*t - 10*t - 22 = -3*h. Solve h*u + 415 = 370 for u. -5 Suppose -2*r = o - 0*o + 24, -4*o + 4*r - 132 = 0. Let d be (-42)/o*(-10 + 15). Solve -6*m - d = -1 for m. -1 Let x = -27338 - -27364. Solve -6*v = x*v + 224 for v. -7 Suppose -2*j = 111*l - 106*l - 305, -2*j + 10 = 0. Solve 48 + 70 = -l*r for r. -2 Let t(b) be the first derivative of -49*b**4/4 - b**3/3 - b**2/2 - b + 1. Let q be t(-1). Suppose 4*d - 64 = -q. Solve i = -3*i - d for i. -1 Let o be -144*((-16)/112)/(3/7). Solve -o*v + 35 = -43*v for v. 7 Suppose 3 = -3*o, -4*o = -3*p - 2*o + 26. Suppose p*x = -10*x + 90. Solve -f = 10 - x for f. -5 Let x(g) = g**2 + g - 2. Let j be x(-2). Suppose 160 = -4*o - 4*o. Let h be o/(-30) + 102/9. Solve j = 2*p + 2*p - h for p. 3 Let c = 12504 - 12438. Solve -c = -574*z + 552*z for z. 3 Let w(m) be the third derivative of -m**6/40 + 3*m**4/4 + 19*m**3/6 + m**2 + 10*m. Let f be w(-1). Solve -f*i - i = -20 for i. 4 Let z be 53*(-5 - (6 - 17)). Solve 310*w - z*w = 24 for w. -3 Let d(p) = p**3 - 31*p**2 + 142*p + 189. Let x be d(7). Solve 4*f + x = 7 for f. 0 Let f(w) = -w**3 + 28*w**2 + 46*w - 53. Let y be f(29). Let x be 3256/y + -1 + 3/5. Solve 0 = -3*b + x*b - 20 for b. 5 Let n(o) = 172*o - 172. Let a be n(1). Solve a*h = 6*h - 30 for h. 5 Suppose -5*i = q - 81, 0 = 2*q - 2 + 10. Let u(o) = 3*o**3 + 47*o**2 + 28*o - 22. Let c be u(-15). Solve 5*y + i = -c for y. -5 Suppose 4*g + 1777 - 313 = 4*s, 0 = 3*g + 5*s + 1114. Let h = g + 38. Let a be (2*1/(-6))/(11/h). Solve 3*u = 8*u + a for u. -2 Let a = -580 - -590. Suppose 4*v - o - a = 0, 12 = -3*v + 8*v - o. Solve -f + v = f for f. 1 Let h(y) = 2*y**2 + 338*y - 7967. Let d be h(21). Solve d*c + 168 = 64 for c. -8 Let c(o) = o**3 + 12*o**2 + 19*o + 269. Let v be c(-12). Solve 24*w + 137 = v for w. -4 Let c(r) = -r + 3. Let h be c(3). Let z = -136141 - -136146. Solve -25 = -z*a - h*a for a. 5 Let y(w) = 2*w**3 + 27*w**2 - 14*w + 3. Let p be y(-14). Suppose 0 = 3*o - 5*o - 8. Let v be (21/9 + o)*-3. Solve -p*d = 10 + v for d. -5 Suppose 8*j - 32 = 4*j. Suppose 60 = j*s + 4. Suppose -5*a = 2*a - s. Solve -a = v - 0 for v. -1 Suppose 88 = -206*g + 208*g. Suppose -g = -6*f - 44. Solve -1 = o - f for o. -1 Suppose -596 = 67*w - 2874. Solve -w = -16*t - 146 for t. -7 Let v(k) = -12*k**2 - 11*k**2 - 2*k**3 + 34*k**2 - 10*k**2 + 6. Let y be v(0). Solve 4*q = -2 - y for q. -2 Let r(g) = 12*g + 4. Let t be r(1). Suppose -f - 50 = -3*o, -3*o + 32 = -3*f - t. Suppose -3*c - c + 99 = 5*u, 0 = u - 2*c - o. Solve 4*b = -3 + u for b. 4 Let i = 3030 - 2456. Solve -i*n - 54 = -583*n for n. 6 Suppose 24*u - 23*u = -2*p - 173, 183 = -u + 3*p. Let y be 51/(-8) - -6 - u/24. Solve -43 + 8 = y*c for c. -5 Let w = 1 + 6. Let m(q) = q - 1. Let f be m(w). Suppose -5*g + f = 6. Solve -5*b + g*b - 20 = 0 for b. -4 Let w be -4*((0 - 7) + 40/8). Solve 0 = w*j - 3*j - 15 for j. 3 Let y be ((-10)/(-15) - 0) + 15575/267. Let d be 2 + 3/(3/2). Solve y = -d*c + 47 for c. -3 Let y = -155 + 155. Suppose -2*m = 2*m. Suppose j - 4 - 1 = m. Solve -5 = j*k - y for k. -1 Let o(x) be the third derivative of -x**6/120 + x**5/5 + 7*x**4/12 - 13*x**3/6 - 31*x**2. Let i be o(13). Suppose i = -3*c + 13 + 2. Solve 14 = -c*k - 11 for k. -5 Let q = 512 + 6. Let t = -507 + q. Solve 0 = 3*d - 2 + t for d. -3 Let l(t) = -t**3 + 112*t + 220. Let k be l(-2). Solve -k*w - 1 = -3*w for w. -1 Let x(y) = 6*y**3 - y**2 - 2*y + 1. Let h be x(1). Suppose 5*t + 5*w - 177 = w, 3*t - h*w - 119 = 0. Let p = t + -29. Solve 0 = -8*r + 4*r + p for r. 2 Let k be (-3 + 20/8)*-18. Let m be -36*k/(-60)*-5. Let l = m - -30. Solve 3*d = 4*d - l for d. 3 Suppose 5*d + 4*n = 9*n, 4*d + 5*n - 36 = 0. Let z be 3/75 - (-868)/175. Solve d*j - 1 = z*j for j. -1 Let b(j) = 2*j**2 + 143*j + 1444. Let p be b(-12). Solve -6*o = -p*o for o. 0 Let q = -4885 - -4891. Suppose 0 = 3*l - 4 - 11. Solve -q = -2*p + l*p for p. -2 Let f(p) = -p**3 + 19*p**2 + 13*p + 200. Let m be f(20). Solve -m = -27*k + 75 for k. 5 Let w be 19 - 40/(-50)*(-5)/2. Suppose 4 = -2*j - 3*o, 0 = 14*o - w*o - 12. Let k(z) = z**3 - 6*z**2 + 5*z. Let a be k(5). Solve 0 = -t - a*t + j for t. 4 Let v(c) = -2*c - 7. Let l be v(-5). Let h be 3 - 9*(-4)/(-12). Let n be l - h*3/18. Solve 8*w = n*w + 25 for w. 5 Suppose -8*w + 408*w = 0. Let y be (1 + -2)/(1/(-8)). Let x(c) = c**3 + 2*c**2 - 5*c - 2. Let d be x(-3). Solve 0 = -d*f - w*f - y for f. -2 Let k(d) = 3*d**2 + 16*d + 63. Let z be k(-8). Let l = -124 + z. Let p(u) = u + 5. Let c be p(0). Solve -c*r - 8 = -l*r for r. -4 Let f = -32 - -34. Let n be 12 + (1 - 4/(0 - f)). Solve 3*z + n = 6*z for z. 5 Let h(s) = s**3 - 3*s**2 - 5*s + 9. Let p be h(4). Suppose p*i + 21 = 266. Solve i*y = 44*y - 10 for y. -2 Suppose 179*g - 48 = 195*g. Let d be 1/g + (-98)/(-42). Solve 3*c - d*c = -c for c. 0 Let k(i) be the third derivative of -i**4/12 - 5*i**3/3 - i**2 + 12. Let t be k(-9). Solve -t = -5*q + 17 for q. 5 Let d(y) = 3*y + 41. Let i be d(-9). Let j be (-1 - (-128)/i) + (-5)/35. Let c(p) = p**3 - 8*p**2 + 12. Let n be c(j). Solve r + 8 - n = 0 for r. 4 Suppose 3*k - 3*n - 154 + 58 = 0, -k + 18 = -3*n. Solve -63 = -k*l + 210 for l. 7 Let c = -177 - -7. Let b = 196 + c. Solve 1 - b = 5*q for q. -5 Suppose -69*y = -64*y - 20. Suppose -y*j + 13*j = -153. Let s = 20 + j. Solve 0 = -q - s*q for q. 0 Let d = -89 + 86. Let u be 9*(-2 - d) + -5. Solve -3*t + u = -8 for t. 4 Let a(r) = -r**2 - 11*r - 6. Let s be a(-7). Let n be s/(4 - (-10)/(-3)). Solve -7*i + 2 = -n for i. 5 Let t(i) = 6*i**2 + 32*i - 74. Let q be t(-12). Solve 0 = 8*f + q - 430 for f. 3 Suppose 18 = 10*v - 12. Let s(a) = -a + 7. Let r be s(0). Suppose 0 = -2*h + 5*d + 25, 0 = -3*h - r*d + 3*d + v. Solve -h*j = -6 - 19 for j. 5 Let t(o) = 15*o + 11. Let w be t(1). Suppose -4*s - 107 = 3*u, -3*u - 48 = 2*s - 7*u. Let a = s + w. Solve a*k = 2*k + 6 for k. -3 Let k be 15*(-10)/(-15) + -5. Suppose -4*t - k*n + 39 = 0, 3*n - 3 = 2*n. Solve 10 = -4*y + t*y for y. 5 Suppose -182 + 65 = -7*c - 3*s, 4*c - 5*s = 40. Solve 14*j - 17*j + c = 0 for j. 5 Let d be (-2 + 1 - -3) + -3 - -2. Let m be -10*((2 - 4) + d) + -3. Let k(c) = -c - 4. Let o be k(-6). Solve 3*w = o + m for w. 3 Suppose 4*c - 36 = 232. Let g = c - 63. Suppose -m = -2*x + 5, -3*x + 0*m = -5*m - g. Solve 17 + x = -5*a for a. -4 Suppose 10*o + 1763 = -937. Let r = o - -272. Solve r = -v + 7 for v. 5 Let w be ((-7)/14 + 0)*(-4 - 2). Suppose j - 13 = 5*b - w, 3*j + 3*b + 6 = 0. Solve 3*o = -j*o for o. 0 Let z be (((-30)/(-9))/(-10))/(2/(-474)). Suppose -7*p - 16 = -z. Solve 5*y = p*y for y. 0 Let d = -297 + 300. Suppose -2*k + 40 = d*f + 11, -k + 17 = 2*f. Solve 4*j = 9 + k for j. 4 Let j(n) = -2*n**3 + 9*n**2 - 5*n + 4. Let x(o) = -4*o**3 + 16*o**2 - 9*o + 8. Let i(b) = -9*j(b) + 4*x(b). Let q be i(8). Solve 6*h = 2*h + q for h. 1 Suppose 5*z + 15460 = 15500. Solve z*y = -40 + 24 for y. -2 Let t(q) = 4*q**2 + 100*q + 199. Let m be t(-23). Solve 5 - m = 10*r for r. -1 Let b = -38 - -35. Let g = b + 5. Suppose 18 = 5*w - 4*p, -10 = -4*p + 9*p. Solve -w*r = -g - 8 for r. 5 Let g(p) = p**3 + 7*p**2 - 22*p - 6. Let b be (0/(-1) - 5) + -5. Let w be g(b). Let d = w + 95. Solve 13*n = d*n + 4 for n. 1 Let s be ((-2)/(-3))/(190/45 + -4). Suppose -j - 18 = -s*l, -4*j + j + 1 = 2*l. Suppose -2*d = 0, 12 = 4*b - 0*b - 5*d. Solve -13 + b = l*w for w. -2 Let r = 13 + -8. Suppose 0 = -r*p + 10*p. Suppose p = -7*k + 2*k + 5*i, -3*i = -2*k - 5. Solve k*o - 4 = 3*o for o. 2 Let a(u) be the third derivative of -7*u**4/8 + 44*u**3/3 - 34*u**2 - 3. Let v be a(4). Solve -4*y - v = 16 for y. -5 Suppose -104 + 20 = 2*z. Suppose -219 = 4*j + a, 2*a - 13 = 2*j + 89. Let n = z - j. Solve 3*f - n = 3 for f. 5 Let j(u) = -2*u. Let s = 8 - 10. Let d be j(s). Let b = 1089 - 1089. Solve b = d*k - k for k. 0 Let s(n) = -9*n - 50. Let r be s(-6). Suppose -5*t = 3*g - 125, 0 = -r*t + 9*t - 4*g - 125. Solve t*d + 15 = 20*d for d. -3 Suppose 3*g + 4*r = -166, 42 - 310 = 5*g - 2*r.
{ "pile_set_name": "DM Mathematics" }
- o - -2) + (33 - 32). Which is smaller: q or -11? -11 Let u(o) = -3*o + 72. Let s be u(4). Let z be (-8)/s + (-3152)/(-240). Which is smaller: 12 or z? 12 Suppose 4*r = 8*r - 20. Suppose 7*w - 282 = 4*w. Let c = -95 + w. Is r at least as big as c? True Suppose 0 = -3*h + 3*o + 1140, h + 2*o - 68 = 303. Let c = -413 + h. Let i = 0 - -0.1. Which is greater: i or c? i Let f(w) = -12*w - 7. Let j(d) = 47*d + 27. Suppose 0 = 5*z + 15, 3*z = -3*m - 20 - 16. Let r(b) = m*f(b) - 2*j(b). Let c be r(-2). Is c at least as big as -19? True Let b = 458 - 461. Let a = 878/759 + 5/506. Which is bigger: a or b? a Let a be (-25)/1*-9*(-2140)/450. Do -1070 and a have the same value? True Let p be -9 - (-260)/25 - 1/1. Let a = 216 + -12495/58. Let g = a - 2/29. Which is smaller: g or p? p Suppose -2*m - o - 28 = -3*o, 0 = 3*m - 2*o + 40. Let l(n) = -n**2 + n + 207. Let k be l(0). Suppose 11*t + k = 86. Are t and m nonequal? True Let q be 123/(-2)*(-7)/(21/(-6)). Suppose -610 = -13*i + 18*i. Which is smaller: q or i? q Let k be 6 - 5 - (-3 - (-6 + -2)). Let j be (254/8)/(k/(-16)). Let o = j - 124. Is o != 5? True Let k = -605 - -730. Suppose 11*u - k = -114. Which is smaller: 2/523 or u? 2/523 Suppose 158*d - 184*d + 2808 = 0. Is d < 49? False Let x = 1566702919/5615 + -279021. Is 0 greater than x? False Let r(j) = -j**2 - 3*j - 3. Let n be 768/56 + (-2)/(-7). Suppose 7 = -7*v - n. Let l be r(v). Which is smaller: -7 or l? -7 Let b = 176 - 175.57. Let u = 4.43 - b. Are -14 and u nonequal? True Suppose -505*b - 4131 = -502*b + 3*c, 0 = 4*b + 5*c + 5510. Are b and -1381 nonequal? True Let x be 108678/7788 + (-1)/(-22). Let c = -2 + 8. Suppose -c*k + 80 = -k. Does k = x? False Let z = 53 + -48. Let n = -44 - z. Let f = 48.5 + n. Which is bigger: f or 0? 0 Let o = 221.87 + -211.8. Let t = 0.07 - o. Let a be (-6)/(-8)*3/(-9). Which is greater: t or a? a Suppose -3*d - 480 = -237 - 240. Is -20/373 equal to d? False Let a = 1014.1 + -464.1. Do 1 and a have different values? True Let f = -74/105 + -2/21. Suppose -471*r + 247*r = 0. Is r not equal to f? True Let r = -0.53 + -191.47. Let t = 198 + r. Which is smaller: t or 1/3? 1/3 Let a = 38 - 29. Let s = -844 - -846. Is a greater than or equal to s? True Let p be -7 - (-145)/20 - (-65)/(-100). Is p at least 169? False Let u = 382 - 199. Suppose -18 = 3*r + u. Which is greater: -64 or r? -64 Let i = -39671/352779 - -1/3297. Is i <= -1/4? False Let p be (-4 - -17)*4 - -1. Suppose 4*l - r - 225 = 0, 7*l - 5*l - 4*r = 116. Which is smaller: l or p? p Suppose -11 - 14 = 5*u, 5*u = 2*d - 25. Which is greater: d or -1/850? d Let v = 27469297/42574 + -9033/14. Which is bigger: v or -0.2? v Let f = -14.6 + 11. Let y = 1377 + -1377.1. Which is greater: f or y? y Suppose 17 = 2*c + 11. Let m be (5 + -3)*((-2)/(-1) - c). Which is greater: m or -38/31? -38/31 Let q = 15054 - 14780. Which is smaller: q or 2187/8? 2187/8 Let f be (-2)/((-3)/1035*-18). Let h = f - -25303/660. Which is greater: h or 0? h Suppose -401 = -2*g - x, 8*g = 4*g + x + 817. Let f = -120 + g. Is 82 smaller than f? True Suppose 10*y - 6*y - d = 109, d - 3 = 0. Which is greater: 88 or y? 88 Let w = -1647.2134 - -0.2134. Let f = 1644 + w. Let y = 3 - 2.98. Which is smaller: f or y? f Let p(u) = 2*u**3 + 16*u**2 + 12*u - 14. Let i be p(-7). Which is greater: i or -7/281? i Let y = -266 + 261. Does y = -7? False Let v = 104 - 92. Let j = -106 + v. Let q = -93.9 - j. Is q <= -6/7? False Let h = -3206 - -3206. Are h and 3311 equal? False Let w = 1.03667 - 0.03667. Is w greater than -3/623? True Let l be (-2)/(-72)*(-340)/15. Let n(u) = 9*u**2 - 9*u - 18. Let c be n(-1). Is l greater than c? False Let y = 16.876 - -0.024. Let m = -16 + y. Let w = -0.4 + m. Which is bigger: -2/7 or w? w Let m be 18/4*(-12)/(-9). Let u = 2400 + -2393. Which is smaller: u or m? m Let d = -9 - -6. Let h be ((-8)/d)/((-2)/6). Let r(t) = t**3 + 15*t**2 + 61*t + 100. Let w be r(-10). Which is smaller: h or w? w Let g be 1 + 3 + -4 + -1. Let z be ((-11904)/990 - -12)/(8/12). Which is smaller: z or g? g Let q = 3822600 - 71654637249/18745. Let m = q - -5/163. Is m at least as big as 0? True Suppose 7*d - 11*d - 232 = 0. Let k = d + 30. Let w be (7812/49)/(-6) - 6/14. Is w smaller than k? False Let i = -299 - -158. Let n = -127 - i. Suppose 2*y + 2*p - 10 = 6*p, n = 5*y + p. Do y and 4 have different values? True Let d = 261 + -261.9. Let h = 1268 - 1268.02. Do h and d have the same value? False Let v be ((-22)/231)/((-1)/(-579)). Let x = 2712/49 + v. Is x smaller than 0? False Suppose 0 = 3*d + 2 - 17. Let b = 108 + -109. Let a be 828/162 + b/9. Do d and a have different values? False Suppose -2*n + 11 - 7 = 0. Let h(w) = -21*w**3 + w + 5*w + n*w**2 - 4*w**2 + 20*w**3 + 3. Let d be h(-4). Which is greater: 10 or d? d Let c = -485.7 - -486. Which is bigger: -210 or c? c Let w = 443 + -633. Let b = w + 1332/7. Is b <= 27/8? True Let s = -560600.0674 + 560823. Let x = s - -0.0674. Which is bigger: 0 or x? x Let f(m) = -13*m - 206. Let b be f(-20). Suppose 258 = 17*g + b. Which is greater: g or 112/9? 112/9 Suppose -l = -12 + 22. Let u(a) = a**2 + 12*a + 11. Let x be u(l). Let p be 33/(-2)*((-21)/x + -3). Do p and 11 have different values? False Suppose s - 4 = -s, -2*r + 1792 = s. Suppose 0 = 18*m - r - 455. Is m not equal to 74? True Let g = -66 - -65.9. Let x be 9/((-945)/41262) - 2. Let s = x - -395. Is g less than s? True Let i be -9 + (-1 - -13) + 30/(-9). Is -0.2231 at least i? True Let h = -68 - -70. Let t(a) = 7*a**3 + a**2 - 6*a + 7. Let g be t(h). Let y = g + -57. Which is smaller: y or -24? -24 Let x = -6007 + 6007. Let h = 85161/158 + -539. Let t = h + -34/869. Is x < t? False Let g = -1464.4 - -1440.36. Is g bigger than -2? False Let h = 297 + -140. Suppose 153*g + 76 = h*g. Let a(y) = y**3 + 6*y**2 + y - 1. Let s be a(-5). Is s at most g? True Let m be 110/(-208) - (-2)/4. Suppose 18308*q + 1362 = 16946*q. Which is smaller: m or q? q Let c(k) be the third derivative of k**4/24 + 2*k**3/3 + 4*k**2. Let h be (15/6)/((-45)/108). Let b be c(h). Which is bigger: b or -8? b Suppose -5*n - 25 = 0, -2*n - 7 = 4*b + n. Suppose -4*f + 8*f = 5*p - 11, 2*f = -p + 5. Is b smaller than p? True Suppose 503*r - 99 = 404*r. Let a(k) = -9*k. Suppose 4*t - 2*t - 2*j = 6, 0 = 4*t - j. Let u be a(t). Which is bigger: u or r? u Suppose 56 = -v - 10. Suppose 0 = -5*c + 3716 - 4051. Which is smaller: c or v? c Let x(d) = -d**3 + 7*d**2 + 41*d + 30. Let o be x(11). Is o less than or equal to -1767? False Let v = 1245/52 + -342271/14300. Suppose 0*y + y = 0. Let j = y - 0. Is v at least j? True Suppose -47*n = -45*n + 2. Let k = 7.3 + -7. Let d = k + -0.4. Is n equal to d? False Let t = 34 + -20. Suppose 10*i = 3*i + t. Let s be i + 1 + -9 + 4. Is -4/5 less than or equal to s? False Suppose -4*c + 3*n + 153 = 0, 6 = 5*n + 1. Let p = 5 + c. Which is smaller: 45 or p? p Suppose -4*s = -4*y + 27332, 68*s = 71*s + 3*y + 20463. Which is smaller: s or -6824? s Suppose -j - 4*f = -56, 3*j - j = 4*f + 100. Let c be 1454/(-13) - j/338. Which is smaller: -2/3 or c? c Let b = -2953 - -2953. Which is greater: 2/14121 or b? 2/14121 Suppose 5*w = -25, 2*l - 2*w + 8077 + 73 = 0. Is l less than or equal to -4079? True Let x = -0.07752 - -1.07752. Is 13/574 <= x? True Let f be 16/10 - -1 - 96/(-240). Let y be 1*f + 0 + (-160)/(-10). Are 18 and y non-equal? True Let z(m) = 2*m - 43. Let g be z(23). Let x(p) = p**3 - 7*p**g + 8*p - 7*p**2 + 7*p**3. Let l be x(6). Which is smaller: 11 or l? 11 Suppose -3*c + 8 = 2. Let j be (c - 2) + -10 + 2. Let g = 12878 + -12888. Is j != g? True Let m(l) = -l**3 - 13*l**2 - 9*l + 62. Let n be m(-14). Which is bigger: n or 381? n Let n = -3186 - -3186. Let m be 1/1*-1*-5. Suppose -t + 2*k - m*k - 8 = n, 2*t - 5*k - 17 = 0. Which is smaller: t or 3/53? 3/53 Let z = 0.964 - -0.036. Let s = -1353.9328 + 1354. Which is bigger: z or s? z Let i = -1203718/5 + 242188. Is 1443 > i? False Let v(b) = -2*b - 10. Let r be v(-4). Let t be (44 - r)*((-7)/2 + 4). Let u = -1309/2 - -678. Is t equal to u? False Suppose -11*k + 7 = -48. Suppose -218 = -c + 5*h, 3*h - 636 = -k*c + 2*c. Let x be 3*(2/(-5) + c/45). Is -1/2 at most as big as x? True Let r = -5596 + 5013. Is -584 greater than or equal to r? Fal
{ "pile_set_name": "DM Mathematics" }
*p**2. What is s(-1)? 6 Let d(s) = -s**2 - 6*s - 16. Calculate d(-3). -7 Let h(n) = -n**2 + 9*n + 4. What is h(8)? 12 Let a(x) = -x**3 - 4*x**2 + 4*x - 3. Give a(2). -19 Let l(i) = i**3 - 2*i**2 - 5*i + 8. Give l(3). 2 Let l(b) = -3*b - 20. What is l(-5)? -5 Let y(g) = g**3 + 4*g**2 + 4*g + 4. Determine y(-4). -12 Let s(i) = -i**2 + 4*i - 5. What is s(3)? -2 Let w(a) = a + 7. Give w(-18). -11 Let x(w) = -12*w - 38. Calculate x(-4). 10 Let y(b) = b**3 - 11*b**2 + 13*b - 14. Give y(10). 16 Let y(c) = c**2 - 13*c - 13. Calculate y(14). 1 Let k(t) = -t**3 - 7*t**2 - 11*t - 15. What is k(-5)? -10 Let z(m) = m**3 + 4*m**2 + 8*m + 20. What is z(-3)? 5 Let r(j) = -18*j - 1. Determine r(-3). 53 Let k(t) = -43*t**3 + 2*t**2 - t. What is k(1)? -42 Let s(p) = -2*p - 133. What is s(-32)? -69 Let h(p) = p**2 - 10*p - 82. What is h(14)? -26 Let v(q) = -q**3 + 4*q**2 + 14*q - 5. Calculate v(6). 7 Let z(q) = q**3 + 8*q**2 - 2*q - 5. What is z(-8)? 11 Let x(z) = z**2 - 28*z + 45. Calculate x(26). -7 Let d(t) = 14*t - 46. Give d(3). -4 Let z(i) = -2*i**3 - 7*i**2 + 29*i - 7. Give z(-6). -1 Let u(n) = 23*n**3 - 3*n**2 + n + 2. Determine u(-1). -25 Let c(f) = f**3 - 4*f**2 - f + 6. Give c(2). -4 Let o(c) = c**3 - 8*c - 3. Give o(-3). -6 Let t(z) = 16*z**2 + 6*z + 6. Determine t(-2). 58 Let a(t) = -t**2 + 15*t - 60. What is a(7)? -4 Let t(i) = i**3 - 7*i**2 - 7*i - 13. Give t(8). -5 Let y(q) = -q + 8. Give y(13). -5 Let m(u) = -u**3 - 44*u**2 + 93*u + 44. Calculate m(-46). -2 Let y(t) = t + 5. Determine y(-1). 4 Let a(k) = -k**3 + 11*k**2 + 13*k - 11. Give a(12). 1 Let j(a) = a**2 + 9*a - 2. What is j(-8)? -10 Let s(v) = v**3 + 14*v**2 - 15*v - 28. Give s(-15). -28 Let f(n) = -3*n + 5. What is f(4)? -7 Let p(r) = r**2 + 4*r - 5. Determine p(-5). 0 Let k(h) = -2*h + 2. Calculate k(6). -10 Let j(y) = -4*y**2 - 264*y + 266. What is j(-67)? -2 Let t(a) = 3*a + 32. Calculate t(-8). 8 Let o(y) = -2*y**2 + 3*y - 2. Calculate o(2). -4 Let v(o) = -7*o + 3. What is v(3)? -18 Let w(c) = -9*c**3 + 4*c**2 - 3. Determine w(1). -8 Let v(a) = 5*a - 195. What is v(40)? 5 Let t(m) = -6*m - 4. Calculate t(1). -10 Let z(b) = 4*b + 34. Determine z(-8). 2 Let o(y) = y + 2. Calculate o(-11). -9 Let v(t) = -3*t - 4. Give v(-2). 2 Let x(v) = -v**3 + 9*v**2 - 6*v + 8. What is x(8)? 24 Let z(t) = -t - 4. Calculate z(9). -13 Let z(n) = n**3 - 23*n**2 - 24*n + 4. Determine z(24). 4 Let p(c) = c**2 + 22*c + 36. Give p(-2). -4 Let g(m) = m**3 - 6*m**2 + 4*m - 1. Calculate g(5). -6 Let k(s) = -s**3 - 13*s**2 + 16*s + 33. Calculate k(-14). 5 Let v(z) = -z**2 + 19*z + 256. Calculate v(-9). 4 Let u(v) = v - 40. Calculate u(11). -29 Let j(v) = v**3 + 9*v**2 - 35*v + 5. Determine j(-12). -7 Let m(s) = -4*s - 26. Determine m(-6). -2 Let w(x) = x**3 + 18*x**2 - 28*x - 44. Determine w(-19). 127 Let g(z) = -21*z - 128. Give g(-6). -2 Let p(v) = -v**3 - 16*v**2 - 35*v - 19. Determine p(-14). 79 Let t(s) = 2*s**3 - s + 4. Calculate t(2). 18 Let x(d) = d**3 + 18*d**2 - 2*d + 21. Determine x(-18). 57 Let d(m) = 15*m + 40. Determine d(-11). -125 Let u(h) = -h**2 - 16*h - 16. Give u(-15). -1 Let j(d) = d**3 + 3*d**2 - d - 5. Calculate j(-4). -17 Let q(i) = i**2 - 9*i - 10. Determine q(7). -24 Let n(g) = g**3 - 7*g**2 + 4*g - 75. What is n(8)? 21 Let c(k) = 8*k - 1. Calculate c(1). 7 Let q(n) = 13*n + 219. Calculate q(-16). 11 Let a(x) = 3*x**3 - 3*x**2 + 3*x - 2. Give a(1). 1 Let l(p) = p**3 + 12*p**2 + 2*p - 2. What is l(-12)? -26 Let m(a) = a - 19. Determine m(14). -5 Let s(p) = -2*p**3 - 15*p**2 - 12*p - 16. Determine s(-7). 19 Let p(v) = -6*v - 192. Determine p(-32). 0 Let u(b) = 15*b + 39. Give u(-3). -6 Let k(p) = -5*p - 112. Calculate k(-23). 3 Let u(j) = -6*j - 125. Give u(-20). -5 Let q(o) = 2*o - 2. Give q(4). 6 Let s(p) = -2*p + 36. Give s(-5). 46 Let k(z) = 2*z**3 - 2*z**2 - 3*z + 3. Determine k(3). 30 Let p(z) = -z**3 - 38*z**2 - 39*z - 69. What is p(-37)? 5 Let d(a) = -a**3 + 15*a**2 - 16*a + 33. What is d(14)? 5 Let t(x) = -x**2 + 7*x - 6. Give t(6). 0 Let l(s) = s**3 - 4*s**2 - s + 2. Determine l(2). -8 Let o(b) = -5*b - 10. Determine o(-6). 20 Let r(z) = -4*z + 6. Calculate r(4). -10 Let f(b) = -b**3 + 32*b**2 + 31*b + 60. Determine f(33). -6 Let g(w) = -w**3 - 10*w**2 + 39*w + 7. Calculate g(-13). 7 Let z(q) = q**3 + 7*q**2 + 6*q + 7. Give z(-5). 27 Let a(u) = -2*u**2 + 13*u - 17. Determine a(8). -41 Let t(a) = a**3 + a**2 + 2*a + 2. Give t(-2). -6 Let a(b) = 10*b**3 + b**2 - 6*b + 5. Determine a(2). 77 Let l(s) = -s - 2. Determine l(-7). 5 Let z(n) = -n**3 - 20*n**2 - 21*n - 34. Calculate z(-19). 4 Let d(p) = -15*p - 12. Calculate d(8). -132 Let k(i) = -4*i + 3. Calculate k(-1). 7 Let p(b) = -9*b - 59. What is p(-5)? -14 Let d(c) = -c**3 - 9*c**2 + 33*c - 41. What is d(-12)? -5 Let u(f) = -f**3 + 11*f**2 - 2*f. Determine u(11). -22 Let l(o) = o**3 - 13*o**2 + 13*o + 17. Determine l(12). 29 Let t(o) = -o**3 - 4*o**2 + 5*o - 5. What is t(-5)? -5 Let a(r) = 2*r**2 + 45*r + 21. Give a(-22). -1 Let w(c) = -178*c + 1. Determine w(-1). 179 Let t(i) = -i - 7. Give t(0). -7 Let w(h) = h**3 + 11*h**2 + 14*h - 12. Determine w(-10). -52 Let n(r) = 9*r + 26. Determine n(-6). -28 Let m(s) = -2*s**3 - 6*s**2 - 14*s - 19. Give m(-2). 1 Let r(c) = -2*c**2 - 3*c + 2. What is r(2)? -12 Let x(w) = -w**2 + w + 5. What is x(6)? -25 Let w(u) = -u**3 + 41*u**2 - 41*u + 45. Give w(40). 5 Let d(c) = c + 11. Give d(-2). 9 Let x(o) = -o**2 - 14*o + 14. Determine x(-6). 62 Let m(i) = -i - 7. Give m(-6). -1 Let j(x) = x**2 - x - 327. Determine j(19). 15 Let w(t) = -t**3 - 9*t**2 + 28*t + 6. Determine w(-12). 102 Let a(u) = 5*u**2 + u - 1. Calculate a(1). 5 Let r(a) = -a**2 + a + 18. Calculate r(0). 18 Let s(b) = 2*b**2 + 17*b - 15. Calculate s(-11). 40 Let x(k) = -3*k - 55. What is x(-27)? 26 Let l(c) = -8*c + 1. Give l(1). -7 Let l(q) = -2*q - 92. Determine l(-36). -20 Let j(b) = 112*b - 95. Give j(1). 17 Let u(g) = g**2 - 12*g + 37. Calculate u(8). 5 Let i(f) = -2*f**3 - 2*f**2 - 4*f - 1. Determine i(-3). 47 Let s(m) = 2*m**2 + 14*m + 17. Determine s(-4). -7 Let s(y) = y**3 - 8*y**2 + 3*y - 10. Calculate s(8). 14 Let q(z) = -z**3 - 16*z**2 - 51*z + 38. Calculate q(-6). -16 Let a(r) = -r**3 + 13*r**2 + 12*r. Calculate a(14). -28 Let u(c) = c + 11. Calculate u(14). 25 Let g(s) = s - 12. Calculate g(16). 4 Let o(u) = -u**3 + 10*u**2 + u - 53. Calculate o(7). 101 Let u(h) = 6*h - 32. Calculate u(6). 4 Let q(p) = -p**2 + 4*p + 44. What is q(9)? -1 Let r(w) = w + 13. Determine r(-17). -4 Let a(d) = 8*d - 1. What is a(1)? 7 Let t(v) = v**3 + 19*v**2 - 41*v + 19. What is t(-21)? -2 Let b(u) = 8*u + 6. Determine b(-6). -42 Let m(h) = -17*h + 129. Give m(6). 27 Let i(a) = -a**2 + 6*a + 6. Give i(6). 6 Let p(s) = -s**3 - 29*s**2 - 54*s + 4. Calculate p(-27). 4 Let h(t) = -t**2 - 9*t - 6. Calculate h(-3). 12 Let c(o) = -o**3 + 3*o**2 - 3*o + 19. Give c(5). -46 Let u(x) = 2*x + 32. Give u(-16). 0 Let b(p) = p + 161. Give b(0). 161 Let o(g) = 2*g**2 - 18*g + 11. Give o(10). 31 Let i(f) = -4*f**2 + 5*f - 4. Give i(1). -3 Let b(c) = -3*c**2 + c - 33. Calculate b(0). -33 Let w(k) = -k**2 - 3*k - 9. What is w(-4)? -13 Let r(j) = 55*j + 1. Calculate r(0). 1 Let w(d) = d**3 - d**2 - d - 2. Determine w(0). -2 Let v(l) = l**2 + 2*l - 50. Determine v(6). -2 Let m(n) = n**3 + 22*n**2 + 114*n - 39. Give m(-13). 0 Let t(r) = -r + 2. Calculate t(5). -3 Let r(u) = -54*u - 60. What is r(-1)? -6 Let n(r) = -3*r**2 - 2*r + 2. What is n(1)? -3 Let y(j) = 2*j**3 + j. Determine y(2). 18 Let i(z) = z**3 - 8*z**2 + 18*z - 78. Calculate i(7). -1 Let q(w) = -2*w**2 - 7*w - 5. What is q(-2)? 1 Let d(l) = -7*l**2 + 4. Give d(3). -59 Let b(x) = x**3 - 8*x**2 + 9*x + 6. Give b(7). 20 Let k(b) = b**2 - 3*b. What is k(4)? 4 Let o(u) = -10*u + 140. What is o(19)? -50 Let h(g) = -g**2 + 21*g - 69. Determine h(17). -1 Let u(g) = 20*g - 15. What is u(4)? 65 Let o(x) = x**2 + 16*x + 51. What is o(-10)? -9 Let c(b) = 2*b**3 + 4*b**2 + 2*b. Calculate c(-2). -4 Let r(p) = -2*p**2 - 3*p + 18. Determine r(8). -134 Let x(k) = -17*k**3 - 2*k**2 - 4*k - 5. What is x(-2)? 131 Let n(u) = u**2 - 5*u + 1. Determine n(9). 37 Let z(j) = -2*j**2 - 10*j + 6. What is z(-5)? 6 Let u(i) = 2*i**3 - 4*i**2 - 4. Determine u(3). 14 Let r(l) = 50*l**3 - l**2 + 1. Calculate r(-1). -50 Le
{ "pile_set_name": "DM Mathematics" }
Let o(m) = 5*m - 6. Let f be (-1)/((9/(-21))/(-3)). Let d(k) = f*p(k) - 3*o(k). What is d(3)? -6 Let a be ((-5)/15)/((-2)/12). Let k(i) = -2*i**2 - 92 + 92 + 2*i. What is k(a)? -4 Let z(t) = 3 + 10*t + 10*t - 19*t. Calculate z(-3). 0 Let c be (1 + -1)/((-12)/3). Let g(t) = -t + 1 - 1 + c. What is g(5)? -5 Let m(q) be the third derivative of -q**4/12 + q**3/3 - q**2. Suppose 11 = -d - 5*k, -2 = -3*d - 5*k + 5. Suppose 4*h - 1 + d = 0. Determine m(h). 6 Let x(s) = -10*s + 4*s**2 - 5*s - s**2 - 9. Let z(i) = -3 + 2*i**2 - 3 + 1 - 8*i. Let h(l) = 3*x(l) - 5*z(l). Give h(-3). 4 Let z(l) = -l**2 - 17. Suppose 0 = 3*g - 4*g. Determine z(g). -17 Let i be (-4)/(-12)*(-5)/(5/3). Let u(c) = -6*c**3 - c**2 - c. Determine u(i). 6 Let p(o) = o**2 + 5*o - 2. Let r be p(-4). Let m(q) = 4*q**2 + q + q**3 + 3*q + q + 3*q**2. Give m(r). 6 Let q(j) = -7*j**2 + 10*j + 13. Let y(a) = 3*a**2 - 5*a - 6. Let i(z) = 4*q(z) + 9*y(z). Give i(-4). 2 Let g(t) = -4*t + 28. Let p be g(8). Let z(r) = 2*r + 6. Calculate z(p). -2 Let c(v) = -5*v - 1. Let n = 62 - 61. What is c(n)? -6 Suppose 5*v + 0*z - z = 14, 4*z - 10 = -2*v. Let g(s) = -2*s**3 + s**2 + 4*s - 7. Let q(k) = -k**3 + 3*k - 6. Let a(f) = 2*g(f) - 3*q(f). Give a(v). -8 Let m(c) be the second derivative of c**3/3 + 3*c**2 - 34*c. Determine m(-7). -8 Let c(y) be the first derivative of -y**4/2 + y**3/3 + y**2/2 + 5. Give c(-1). 2 Let q(t) = 14*t + 1. Let z(s) = 26*s + 2. Let n(i) = -11*q(i) + 6*z(i). Suppose 2*b + 14 = -2*c - 0*c, 27 = -4*b - 3*c. Determine n(b). -11 Let z(n) be the second derivative of n + 0 - 13/2*n**2 + 1/6*n**3. Suppose -t + 18 = 4*t - 3*m, -2 = t - 2*m. Calculate z(t). -7 Suppose -6*b = -2*b + 12. Let l(a) = a**3 + 3*a**2 + 3*a - 2. Calculate l(b). -11 Suppose 5*n - n = 12. Let q(w) be the third derivative of -w**5/120 + w**4/6 - w**3/6 + w**2. Let p(t) be the first derivative of q(t). What is p(n)? 1 Let a(u) be the third derivative of u**5/120 - u**4/12 + u**3 + 5*u**2. Let t(m) be the first derivative of a(m). Calculate t(2). 0 Suppose 0 = -7*t + 9*t. Suppose t = 2*c + 5 - 13. Let r(b) = b**2 - 2*b - 5. What is r(c)? 3 Let q(f) = -2*f - 7. Let m be q(-6). Let s = m + -4. Let r(k) = -k**2 + k. Let x(z) = 3*z**2 + 4*z. Let l(w) = 5*r(w) - x(w). Determine l(s). -7 Let x(t) = 7 + 2*t**2 + 0*t**2 - 2*t - 3*t**2 + 0*t**2. Suppose -5*j + 9*j + 20 = 0. Calculate x(j). -8 Let z(g) = 3 - 5*g + 4*g**3 - 5*g**3 - 7*g**2 + 0. Suppose -6*f + 6 = -7*f. Determine z(f). -3 Suppose -3 + 0 = -3*r. Let u(k) = -k - 2*k - r + k + 0*k. Calculate u(3). -7 Let l(r) be the third derivative of -1/60*r**5 + 0 - 1/3*r**3 + 0*r + 7/24*r**4 - r**2. Determine l(4). 10 Let u(p) be the second derivative of p**7/2520 + p**6/360 - p**4/4 + 3*p. Let r(o) be the third derivative of u(o). Let y be ((-20)/25)/(4/10). Calculate r(y). 0 Let k(s) be the second derivative of 0*s**4 + 2*s - 1/2*s**2 + 0 - 1/20*s**5 - 1/6*s**3. What is k(0)? -1 Let n be (-3 + 4)*0/1. Let h(g) = 6*g**2 + n - 9 + 0*g**2 - g**3 + 6. Calculate h(6). -3 Let w(u) = -5 - 2 - 3*u - 4*u + u**2 + 2*u. Determine w(6). -1 Let b(p) = 13*p**2 + 11*p + 17. Let y(a) = 3*a**2 + 3*a + 4. Let r(s) = 2*b(s) - 9*y(s). Determine r(-3). 4 Suppose 3*j - 3*p - 18 = 0, 0 = -4*p - 0*p - 12. Let s(k) = -k + 1. Calculate s(j). -2 Suppose -t = 2*s - 55, -t + 60 = 2*s + t. Suppose -5*a + h + 2*h = s, -h + 1 = 2*a. Let n(g) = -2*g**3 + 3*g + 1. Determine n(a). 11 Let h(n) be the second derivative of n**4/12 + 5*n**3/6 + 3*n**2/2 - 24*n. Determine h(-6). 9 Suppose 0 = -11*l + 16 - 38. Let y(d) = d**3 + 4*d**2 + 2*d - 2. Determine y(l). 2 Suppose 5*d + 0*q + 3*q = 32, -3*d - 5*q + 32 = 0. Suppose t - 10 = -d*t. Let s(o) = 0*o + t + 2*o + 7. Calculate s(-6). -3 Suppose 0 = 6*j - 3*j. Let t(d) = d**3 + d**2 - 6. Give t(j). -6 Let o(r) = r**3 - 7*r**2 + 8*r - 7. Suppose b = 3*j - 0*b - 15, 5*j - 4*b - 18 = 0. Determine o(j). 5 Let d be 5/15 + 69/9. Let j(k) = 2*k - k**2 - 10*k + k + 10*k + d. Determine j(6). -10 Let h(t) = t**2 + t + 1. Let p be h(-1). Let b be (-40)/5*3/(-1). Let w(x) = 15*x - b*x - 2 + 16*x + 3. Give w(p). 8 Let p = 163 + -154. Let b(g) = g**2 - 10*g + 6. Determine b(p). -3 Let f(h) be the first derivative of h**2 + 3*h + 31. Calculate f(-5). -7 Suppose 6*m + 4*s + 16 = 4*m, m + 20 = -5*s. Let a(w) = 7 + w - 4 + w**2 - 2. Determine a(m). 1 Let y(o) = o - 7. Let k = -23 + 27. Give y(k). -3 Let z(v) be the second derivative of -v**4/12 + v**3 - 9*v**2/2 - 2*v - 18. Give z(7). -16 Let g(d) = -4*d**2 + 1. Let t be 1*-1*0/(-11). Suppose 2*o - m = 8, 4*o - m - 12 = -t*m. Suppose -o*r = 3*r - 5. Give g(r). -3 Let i(s) = s**2 + 4*s**2 - 3*s**2 + 1 - 2*s. Let q be (4/((-8)/(-6)))/1. Suppose 0 = -r - 2 + q. Determine i(r). 1 Let k be 9*(2 - (-15)/(-9)). Suppose -m - 10 = k*s, -5*m + 9 + 1 = 0. Let a be (s/6)/(4/(-6)). Let o(l) = 2*l + 1. Give o(a). 3 Let j(c) = -c + 9. Let h be j(8). Let y = h - 0. Let o(f) = -7*f**2 - 3*f - 2. Let b(m) = -m**2 - m - 1. Let l(n) = 2*b(n) - o(n). Calculate l(y). 6 Suppose 0 = -h - 1 - 2. Let w = h - -3. Let c(f) = f**2 + f. Let b(o) = o**3 - 5*o**2 - 6*o - 3. Let t(j) = b(j) + 6*c(j). What is t(w)? -3 Let d be 2*1/(-3 - -2). Let t = -15 - -12. Let o be (t/3)/1 + d. Let c(v) = -3*v - 1. What is c(o)? 8 Let r(u) be the third derivative of u**6/120 + u**5/20 + u**4/12 + u**3/2 - 4*u**2. Let s = 0 + -2. What is r(s)? 3 Let c(j) = -10*j - 1 + 0 + 14*j - 9*j. What is c(-4)? 19 Let x(a) = 2*a - 10. Let g(k) = -k + 5. Let y = 6 + -13. Let i(h) = y*g(h) - 4*x(h). Give i(6). -1 Suppose 4*x - 12 = g - 5*g, 0 = -5*x. Let p(t) be the first derivative of 2 + 1/4*t**4 + 4/3*t**g - 3/2*t**2 + 3*t. Calculate p(-5). -7 Let n be (8/10)/(19/95). Let r = -14 + 9. Let s(d) = d. Let o(u) = 2*u. Let a(j) = r*s(j) + 3*o(j). Give a(n). 4 Let o(k) be the first derivative of k**4/4 - 5*k**3/3 - 2*k**2 - 8*k - 13. What is o(6)? 4 Let q be 5/(-20) - (-13)/4. Let z(i) be the third derivative of 0*i + 1/6*i**q + 1/24*i**4 - i**2 + 0. What is z(-3)? -2 Let q = -3 + 2. Let j = 0 - q. Let y(c) be the third derivative of -c**6/24 + c**5/30 - c**4/24 + 2*c**2. What is y(j)? -4 Let o(c) = c**3 + c**2 - 3*c + 3. Let w(n) = -n + n - n**2 - 1. Let u(l) = o(l) - 3*w(l). Let p = -5 - 0. Give u(p). -4 Let w(b) be the second derivative of 2/15*b**5 - 2*b - 1/6*b**3 - b**2 + 0*b**4 + 0. Let i(l) be the first derivative of w(l). Give i(1). 7 Let g(b) = -4*b**2 + b. Let w(q) be the second derivative of q**2 - 1/12*q**4 - 1/3*q**3 - 2*q + 0. Let x be w(-3). Calculate g(x). -5 Let m(d) = -d - 3. Let p = -11 - -9. Let h be 4/((0 - -2)/p). What is m(h)? 1 Let j(i) = 3*i**2 - 2*i**2 - i - 2 + 0*i**2. Calculate j(-2). 4 Suppose 5*f = 11 + 44. Suppose 0 = -0*a - 5*a - 4*s - f, 4*a - 4*s + 16 = 0. Let y(m) = m**3 + 2*m**2 - 4*m - 2. Determine y(a). 1 Let p(b) = 4*b**2 + 9*b + 2. Let g(z) = 5*z**2 + 10*z + 1. Let r(u) = -5*g(u) + 6*p(u). Let f be -3*1*(-10)/(-6). Let t = f - -10. Determine r(t). 2 Let n(j) = 30*j + 0 + 2 + 3 - 27*j. Determine n(-4). -7 Let q(h) = 8*h**2 + h - 1. Suppose 5*s + 2 = 7*s. What is q(s)? 8 Let z(n) = 2 - 4 + n**2 + 7 + 9*n. Determine z(-9). 5 Let q(g) be the second derivative of g**3/3 + 3*g**2/2 + 2*g. Suppose -5*r = 5*a - 5 - 0, 2*a + 7 = -5*r. Give q(r). -3 Let g(h) be the second derivative of -h**5/20 - h**4/2 - h**3 - 2*h. Let p(j) = 8*j - 69. Let c be p(8). Give g(c). 5 Let v be 1*4 + (-1 - 1). Let q(f) = 0*f**2 + 3*f**v + 7 - 4*f**2. Suppose -3*d = -5*d + 5*p - 10, 3*d + 2*p = 4. Give q(d). 7 Let h(w) be the first derivative of -w**3/6 + 7*w**2 - 4*w + 1. Let x(f) be the first derivative of h(f). Calculate x(6). 8 Let x(f) = -2*f + f - 6 + 1. Let d(s) = s + 6. Let a(w) = -5*d(w) - 6*x(w). What is a(-1)? -1 Let w(t) = t**3 + 2 - 6 + 1. Calculate w(0). -3 Suppose -5*h = -q + 17, -3*q - 2*h - 4 = -2*q. Let w(g) = -q + 1 + g**2 + 2*g + 0. Let f = -5 - -1. Determine w(f). 7 Let a = -18 - -16. Let n(l) = l**3 + 2*l**2 + 2*l + 3. What is n(a)? -1 Let a be (-6)/33 + 2/11. Suppose a = -2*f + 4*f - 8. Let c(y) = -f*y + 2*y - 4*y + 5*y + 1. What is c(-4)? 5 Let b(y) = y - 3. Let k(f) = -f - 17. Let x be k(-8). Let g be 18/x*1*-2. Suppose 4*l = -0*l - 2*u + 10, -8 = l + g*u. Calculate b(l). 1 Let u(x) be the third derivative of x**5/60 - 5*x**4/24 - x**3/2 + 19*x**2. Calculate
{ "pile_set_name": "DM Mathematics" }
, -3*x = y*u + 38. Let p be -3 - x*(-2)/(-4). Solve -p*m + 1 = -1 for m. 1 Let n = 0 - -1. Let x be (0 + 12)*1/2. Suppose 0*b = 2*b - x. Solve b*u + 7 = n for u. -2 Suppose -3*d - d + 16 = 0. Suppose -5*w + d*x - 6 = 0, -4*w + 9*w - 6 = x. Solve 2 - 12 = -w*i for i. 5 Suppose -1 = -5*x + 14. Suppose 9 = 2*m - 11. Let k = 1 + 1. Solve -m = -x*y + k for y. 4 Suppose 0*d + 12 = 3*d. Suppose 5*m = -16 - d. Let i be (m/(-6))/(5/30). Solve 0 = -i*r + 5*r for r. 0 Let g(s) = -s**2 + 7*s + 6. Let o be g(6). Suppose 0 = 4*y - o, 5*y - 4 = b - 0. Solve 0 = -3*i + b + 4 for i. 5 Let x(p) = 4*p - 6. Let d be x(5). Let c = -9 + d. Suppose c*v = 6*v - 1. Solve v = -3*o + 4 for o. 1 Suppose 3*b - 4*b = 0. Solve x - 2*x - 1 = b for x. -1 Let i be (-56)/(-10) - (-4)/10. Suppose 5*b = 56 - i. Solve 0*a = -2*a + b for a. 5 Let a be (0 + 2 + -3)*0. Suppose -5*m = -a*m - 25. Suppose -4*i - m = -13. Solve -6 = -2*c + i for c. 4 Let k(y) = -y**3 - 2*y**2 - 3. Let o(d) = -d**3 - 8*d**2 - 7*d - 3. Let b be o(-7). Let c be k(b). Solve -v - 2*v = c for v. -2 Let p(k) = -k**3 - 3*k**2 + 4*k + 3. Suppose 1 = -s - 2. Let m be p(s). Let r be (-1 - m) + -4 + 1. Solve -r*x + 15 = -0*x for x. 3 Suppose 5*d + p - 14 = 2*p, p = -4. Let f(z) = 21*z + 126. Let x be f(-6). Solve 0 = -d*h - x*h for h. 0 Suppose 4*j - 1 = 23. Suppose -4*q + 18 - j = 0. Solve q*n = 2*n - 5 for n. -5 Let y be 33/(-55) + (-2)/(-10)*38. Let p = -10 - -14. Solve -1 = p*s + y for s. -2 Let n(f) = -f**2 - 10*f + 6. Let w be n(-11). Let q be (4/w)/((-2)/5). Solve 8 = q*j - 6*j for j. -2 Let j = -33 + 36. Solve 1 - j = p for p. -2 Suppose b + 6*g = 3*g + 18, b - 5*g - 10 = 0. Solve p = -2*p - b for p. -5 Let f(r) = -r**3 - 3*r**2 + 6. Let v be f(-3). Solve -v - 4 = 5*i for i. -2 Let q(a) = 3*a**2 + 4*a + 4. Let i be q(-4). Let k be i/15 + 2/(-5). Suppose -k = 3*o - 4*o. Solve o + 3 = -c for c. -5 Let k(s) = 3*s**2 + 2*s - 5. Let b(t) = 4*t**2 + t - 6. Let w(c) = -2*b(c) + 3*k(c). Let i be w(-5). Solve 1 = -p - i for p. -3 Suppose 5*t - 75 = -5*q, 4*t = 3*t - 3*q + 19. Suppose 9*g + 64 = t*g. Solve 3*k + k = g for k. 4 Let i(x) = 12*x**2 - 1. Let g(u) = -u**2. Let y(t) = 5*g(t) + i(t). Let c be y(-1). Let l(f) = -f**2 + 6*f - 5. Let n be l(4). Solve -15 = n*b - c*b for b. 5 Suppose -8 = l - 5*l. Solve l*i + 10 = 2 for i. -4 Suppose 2*n + 21 = 2*l + 3*l, 24 = 2*n + 4*l. Let k = -2 + n. Solve -3*y + 6 + 9 = k for y. 5 Let s be 1*(-1 + 0 + 1). Suppose p + 5*f + s*f = 22, 0 = 5*p - 4*f - 81. Let j = p + -7. Solve -5*v + 0*v = -j for v. 2 Suppose 3*h - 2*h = 1. Let b = h + 2. Solve -k - 16 = b*k for k. -4 Let m be 16/9 + (-4)/(-18). Let y(x) = x**2 - 16*x + 28. Let d be y(14). Solve -m*f + 4 + 2 = d for f. 3 Suppose 2*w + 3 = -1. Let n = w - -4. Let q = 0 + 0. Solve -t = -q*t + n for t. -2 Let i = -95 + 95. Solve -m = 1 - i for m. -1 Let i(z) = -1. Let v(c) = c**2 - 2*c + 8. Let t(h) = 6*i(h) + v(h). Let a be t(3). Suppose -a*g = 4*y - 7 - 22, 2*g + 17 = y. Solve 0 = -4*l - 1 - y for l. -3 Let k be (-3)/12 - (-34)/8. Solve 0 = k*y + y + 20 for y. -4 Suppose 28 = -3*p + 8*p - 3*t, -4*p + 4*t + 24 = 0. Solve -7 - p = 4*w for w. -3 Let d(n) = n**3 - 5*n**2 + n. Let m be d(5). Suppose -2*b + m + 25 = 0. Suppose -3 + b = 4*p. Solve 8 = i + p*i for i. 2 Suppose 0 = -0*g + 3*g + 12. Let p be g/14 - 176/(-28). Suppose 5*t - 12 = -4*z, -2*z + 0*z = t - p. Solve 0 = -z*k - 18 + 3 for k. -5 Let m(d) = -d**2 + 8*d - 6. Let r be m(4). Let u be 0 + 1 + -19 + 24. Suppose z + z = w + u, -5*w + 5*z - r = 0. Solve -2*p - w*p = -12 for p. 3 Let l = -3 - -4. Let x = l + 1. Solve 4*g = -2 - x for g. -1 Suppose 0 = -u - u - 42. Suppose 0 = -4*r + 46 - 18. Let p be ((-2)/3)/(r/u). Solve 3 - p = -t for t. -1 Suppose 0*p - 2*p = 0. Let x be 6/(2 + 1) - p. Suppose 3*d + 20 = 3*j - 4, 28 = x*j - 5*d. Solve -4*k - j = -3*k for k. -4 Let o(n) = 3*n. Let x(y) = -4*y - 1. Let d(q) = 5*o(q) + 4*x(q). Let h be d(-3). Let p be h/(-3) + (-28)/(-6). Solve -7*i = -2*i + p for i. -1 Suppose 3*x + 5*x = 16. Solve x = -t - 1 for t. -3 Let d be -1 + 4 - 6 - -28. Solve -3*o = 2*o + d for o. -5 Let k be 294/77 - 4/(-22). Solve 5 = k*o + 17 for o. -3 Suppose 3*k + 20 = -k, -4*p - 3*k - 7 = 0. Solve p*j - 6 = 2 for j. 4 Let n(z) = -3*z - 6. Let s be n(-3). Solve -3*p = s - 0 for p. -1 Suppose 6*p + 32 = 10*p. Solve -2*a + p = -0*a for a. 4 Let b be (5 + -5)/(4 - (-6)/(-2)). Solve b = r + 3 + 2 for r. -5 Let n = 23 - 23. Solve n = c - 1 + 6 for c. -5 Let j(r) = -r**3 - 8*r**2 - 5*r + 17. Let x be j(-7). Suppose -2*l = 8, h + 2*l - 4 = -2*h. Suppose -2*z = 3*i + 7, h*z - i = -0*i + 7. Solve z + x = 2*k for k. 2 Suppose -3*x + 5*x + 60 = 5*m, -2*m + 45 = -5*x. Let k = -10 + m. Solve 5*t + k*t = 0 for t. 0 Suppose 12 = 70*j - 67*j. Solve -6 + 14 = j*v for v. 2 Let i(p) = -6*p. Let r be i(-1). Suppose 5*z = 4*x + 61, 2*z + 2*x - r = -x. Solve -4*a + z*a + 25 = 0 for a. -5 Let o(n) = -n + 1. Let i be o(-4). Let r be (3/i)/((-5)/(-25)). Solve 0 = -4*m + r*m + 4 for m. 4 Let m be -1 + (-3 + 2)*-4. Suppose -4*j = -2*j - s + m, 3*j = -3*s + 9. Let g be ((-6)/(-8))/((-2)/(-8)). Solve 0*r - g*r = j for r. 0 Let u = 8 - 5. Let q = -115 + 127. Solve -u*a = -0*a - q for a. 4 Suppose 2*t - 19 = 11. Solve 0 = 3*r - 0*r + t for r. -5 Suppose -4*c + 4*i - 19 - 13 = 0, -5*c - 38 = -3*i. Let t = c + 12. Solve -6*p = -p - t for p. 1 Suppose 0 = 2*j + 1 + 1. Let s = 2 - j. Solve 0*w = -w + s for w. 3 Let z be (2 + -2 + 0)*-1. Let a = 2 + z. Suppose -w + 4 + 0 = 0. Solve -6*o = -a*o - w for o. 1 Let l(i) = -5*i**3 + 10*i**2 - 13*i - 14. Let u(r) = 2*r**3 - 3*r**2 + 4*r + 5. Let z(n) = -3*l(n) - 8*u(n). Let p be z(-7). Solve -p = f - 2*f for f. 2 Let u(a) = 2*a - 26. Let c be u(15). Let r be -1*(1 - -1) - -4. Suppose 4*p + 6 = -5*x, 3*p - r*x - 3*x - 13 = 0. Solve c*n - p + 17 = 0 for n. -4 Suppose 18 = -8*b + 5*b. Let x be b/36 - (-2)/12. Solve x = -2*d - 5 + 3 for d. -1 Let v(b) = -b - 1. Let q be v(-7). Let r be 2/((-10)/5) + 6. Solve r = -q*a + a for a. -1 Suppose 4*i - 3*i - 2 = 0. Solve -2 = i*b + 2 for b. -2 Let h be (-1)/(((-1)/5)/1). Let o = 9 - h. Solve o*m - 16 = -0*m for m. 4 Let z = 15 - 11. Solve -z = x + 3*x for x. -1 Let b(r) = -r**2 - 4*r + 1. Let x be b(-2). Solve -n = -6*n - x for n. -1 Suppose 0 = -2*w - 3*j + 11 + 7, -w + 19 = 4*j. Solve 3*n = w + 3 for n. 2 Suppose 0 = -2*d - d - 2*x + 5, 2*x = 2*d. Suppose -h = h - 6. Suppose 3*y - h*w - 2*w = 31, y + 3*w + 13 = 0. Solve 0 = g - y*g - d for g. -1 Let k(y) = y**3 + y**2 + y + 4. Let m be k(0). Suppose 0 = -t + 2 - m, 2*t - 32 = -4*n. Let o be 1*6/(n/3). Solve -o*f = -4*f for f. 0 Let a(c) = 3*c**3 - c**2. Suppose 5*y + 15 = 2*x, -3*y = -6*y + 3*x. Let o = 6 + y. Let f be a(o). Solve -n + f*n = 0 for n. 0 Let t = 10 - 8. Solve -t = z + 1 for z. -3 Suppose -2*n = 2*n + 4. Let u = n + 2. Solve d + 3 = u for d. -2 Let u(d) = d + 7. Let w(b) = -b**2 - 4*b - 1. Let n be w(-5). Let p be u(n). Solve 3*l - p = 2*l for l. 1 Let t(l) = -l**3 - 5*l**2 + 5*l - 3. Let z be t(-6). Suppose z = -4*w - 3*k, -2*w + 6*w - k - 1 = 0. Solve w = -6*p + 5*p - 5 for p. -5 Let j = 3 + -2. Suppose -4*p + 3*x = -141, -2*p + 3*x = x - 72. Suppose 0 = 2*v + v - p. Solve v + j = -4*h for h. -3 Suppose 3*g = 5*g + 4. Let a(v) = -v**3 - v**2 - 2*v - 3. Let w be a(g). Solve -w = -2*d + 5 for d. 5 Suppose 5*b - 8 = 7. Solve 2*a - 4 = b*a for a. -4 Suppose -4*m - 46 + 10 = 0. Let h = -7 - m. Let b be -1 + 1/((-1)/(-3)). Solve l = h*l - b for l. 2 Let m be 17 - 3 - (4 + -6). Let c be (-1)/((4/m)/(-1)). Solve -c*r - 5 = r for r. -1 Let r be (-2 - -4)/(4/10). Let b be (1/3)/((-2)/(-24)). Let g be 4*(6/b - -1). Solve 0 = r*m + g for m. -2 Let d(a) = 3*a**2 + 4*a + 2. Let u be d(-2). Solve 0*f - 3*f = -u for f. 2 Suppose -10 = -4*u + 2. Let s be (-2)/u*(-18)/4. Solve -20 + 8 = s*x for x. -4 Let z = -3 + 6. Let b = -1 + z. Solve 0*h = b*h - 2 for h. 1 Suppose y = 3*v - 10, -4*y = y - v - 6. Let s be y*1/(-2) + 2. Solve 4*c + s = -19 for c. -5 Let j be (-18)/(-153) - (-2)/(-17). Solve 5*v = -j*v - 20 for v. -4 Let v be 12/5 - 2/5. Suppose 2*y + v*y - 44 = 0. Solve 4*h + y - 3 = 0 for h. -2 Let q be -1 - (-3)/(-2)*-2. Suppose -4*u - 6*u + 2*u = 0. Solve u = q*p - p for p. 0 Suppose -9*b = -13*b + 8. Let t = 40 + -25. Solve b*f + f = -t for f. -5 Let
{ "pile_set_name": "DM Mathematics" }
o rounded to 1 decimal place? -1.7 Let h = -164.5 + -285.2. What is h rounded to the nearest 100? -400 Let s = 2226 + -2230.68. Round s to the nearest integer. -5 Suppose 5*a = -2*i + 38619996, 4*a - 4*i - 10092500 - 20803508 = 0. Round a to the nearest 1000000. 8000000 Let g = 24635.012 + -24675. Let r = 0.012 - g. Let w = r + -39.9999963. What is w rounded to six dps? 0.000004 Let w = -10396.597 - -10392. Round w to 1 dp. -4.6 Let z = -3.51 - -0.41. Let l = z + 3.099993. Round l to 6 decimal places. -0.000007 Let l(q) = -96*q + 6. Suppose 14 - 42 = -4*a. Let d be l(a). Let y = d - 96334. What is y rounded to the nearest ten thousand? -100000 Let g = 19 + -32.2. Let u = g - -16. Let m = u - 9. What is m rounded to the nearest integer? -6 Let q = -31 + 30. Let j = 0.983 + q. Round j to two dps. -0.02 Let b = 3640 - 7688. Let x = -3850.3 - b. Let s = -185 + x. What is s rounded to 0 decimal places? 13 Let k = 0.5776062 - 0.5767. What is k rounded to 5 decimal places? 0.00091 Let t(i) be the first derivative of -3 - 2*i - 6*i**2 - 2*i**2 + i + 0*i. Let k be t(-13). Round k to the nearest ten. 210 Let m = 207.3 + -183. Let r = m + -22.04. Round r to 1 dp. 2.3 Let h = -6594.20346 + 6594. Let c = 0.206 + h. Round c to 4 decimal places. 0.0025 Let f(t) = t**3 - t. Let r be f(-1). Suppose 5*l - 4*j + 446 = 0, r*l - l - 98 = -3*j. Let a be -3*(l/(-6) - -1). What is a rounded to the nearest 10? -50 Suppose 18*g = 4*g + 125440000. What is g rounded to the nearest one million? 9000000 Let j = -6.12 - -6. Let b = j - -0.12. Let m = 0.00000064 + b. Round m to 7 decimal places. 0.0000006 Let u = 134249.0443019631 + 531.4232986169. Let j = u - 134763.4676. Let r = j - 17. Round r to seven decimal places. 0.0000006 Let h = -601.9999996579 - -602. What is h rounded to seven decimal places? 0.0000003 Suppose 5*m + 29644991 = -3*c, -3*m - 5*c = 5361663 + 12425322. Round m to the nearest one million. -6000000 Let y = 938406.000016 + -938368. Let o = y - 38. What is o rounded to six dps? 0.000016 Let h(y) = 108001*y**2 + 4*y - 5. Let g be h(-5). Round g to the nearest 100000. 2700000 Let y(q) = 205000*q - 31 - 30 + 61. Let v be y(-2). What is v rounded to the nearest 100000? -400000 Let o = -461 + 453.111. Round o to the nearest integer. -8 Let o = 0.8034 - 9.8964. What is o rounded to one dp? -9.1 Let h = 1027.1 - 900. Let a = -29.3 + 151.3. Let y = a - h. What is y rounded to 0 decimal places? -5 Let c = 721.0813 - 721. What is c rounded to 2 dps? 0.08 Let v = 117.2 + -127.57. What is v rounded to zero dps? -10 Let q = 264 - 274. Let z = -9.49 - -19. Let c = z + q. Round c to one decimal place. -0.5 Let m be (-4710000)/2*(-140)/(-105). What is m rounded to the nearest 1000000? -3000000 Let b = -440595 - -162595. What is b rounded to the nearest one hundred thousand? -300000 Let t = -133.34 - -139.3418. Let c = 16 + -22. Let a = c + t. What is a rounded to three decimal places? 0.002 Suppose -o = -3*c - 673015, 8*o = 6*o + 3*c + 1346015. What is o rounded to the nearest one hundred thousand? 700000 Suppose q = -0*q - 3*s + 22798, -2*q + 2*s + 45612 = 0. Suppose 6*p + q = -11036. Round p to the nearest 100. -5600 Let a = -19.237936 - -0.237883. Let z = a - -19. What is z rounded to five decimal places? -0.00005 Let z(y) = 3*y**3 + 40*y**2 + 3*y + 26. Let o be z(-16). What is o rounded to the nearest one thousand? -2000 Let t = 27.141 - 29.15. Let v = 1.31 - 3.31. Let c = v - t. Round c to two decimal places. 0.01 Let x = 321914.9939 + -321942. Let j = 27.43 - 0.43. Let l = j + x. What is l rounded to 3 decimal places? -0.006 Let x = -29.3 + 24.48. What is x rounded to zero dps? -5 Let d = -16148 - -16047.03. Let i = 102.24 + -0.24. Let n = d + i. What is n rounded to 1 decimal place? 1 Suppose -4*u = -g + 11, 4*u + 1 = 2*g - 9. Let w be (5 + g - 3) + 400002/(-2). What is w rounded to the nearest 100000? -200000 Let c = -0.955 - -0.66. Let x = c + 0.27. What is x rounded to 2 decimal places? -0.03 Suppose -16 = -2*z - 2*c, -4*c + 5*c = -5*z + 56. Let d be 18*(-5 - 13/(-3)). Let l be (-153)/z - (-3)/d. Round l to the nearest ten. -10 Let w = 246.257 - 246. Let m = 144.257 - w. Let z = m - 146.62. Round z to 1 dp. -2.6 Suppose -5*j + 16 = d, 3*j = 3*d - 2*j - 128. Let h be 1/2 - (-23562)/d. Let w be (h/5)/(-3 + 2). What is w rounded to the nearest ten? -130 Let y = -5.222 + 0.182. Round y to one dp. -5 Let o(i) = -10700022*i - 22. Let n be o(-1). Round n to the nearest 100000. 10700000 Let o = -10.1 + 11. Let d = 3.94 - o. Round d to one dp. 3 Let r = 6.929 - 7.2. Let f = -433058.58900149 + 433058.86. Let u = f + r. What is u rounded to 7 decimal places? -0.0000015 Let d = -0.0064 - 0.00756. What is d rounded to 3 decimal places? -0.014 Suppose 0 = -0*n - n + 66000. Suppose -6*v + y = -7*v + 11, -2*v + 17 = y. Suppose 0 = -l + v*l + n. What is l rounded to the nearest 1000? -13000 Let r = 5 + 0. Let u = 5.007 - r. Let p = 0.006939 - u. What is p rounded to 5 dps? -0.00006 Let h(f) = 21167*f**3 - 6*f**2 + 11*f - 4. Let k be h(-9). Let u = 38412294 + k. Suppose -14019038 - u = -5*x. What is x rounded to the nearest 1000000? 7000000 Let q be (-10683634)/(-65) - (-4)/10. Let u = q + 26636. Round u to the nearest 10000. 190000 Suppose 0 = 4*b + 270 - 754. Suppose -15 - b = 4*n. Let i = -35 - n. What is i rounded to 0 dps? -1 Suppose 3*u + 589164 = 6*u. Suppose -3*j + u = 661388. What is j rounded to the nearest one hundred thousand? -200000 Let k = 12960 - -24637. Let z = -37596.966361 + k. Let t = 0.0334 - z. What is t rounded to five dps? -0.00024 Suppose 52*u - 20919800 = 30*u. What is u rounded to the nearest ten thousand? 950000 Suppose -5*m = -2*b - 502123695, 0 = m + 5*b - 40405134 - 60019605. Suppose -5*z - m + 25424739 = 0. What is z rounded to the nearest one million? -15000000 Let m be (-3)/((-27)/9) - -523. Round m to the nearest 10. 520 Let v = -12960 - -13037.57. What is v rounded to the nearest 10? 80 Let b = -879745 + 2098270. Let g = 6 - 3. Suppose g*z - 401475 - b = 0. What is z rounded to the nearest 100000? 500000 Suppose -p = -q + 1 - 2, -q - 5*p + 5 = 0. Suppose x - 2*x + 1 = q. Let w be (-15 + x)*180/70. Round w to the nearest ten. -40 Let k = -2.04 - -2.03999976. Round k to 7 dps. -0.0000002 Let g = 10433.993893 + -10434. Round g to 4 dps. -0.0061 Let l = 1510536212.0000237 + -1510536050. Let a = l + -162. Round a to 6 decimal places. 0.000024 Let g be 260/3 + (-1)/(-3). Let p be ((-2)/(-6))/(-7*3/(-77679)). Suppose 3*a = -p - g. What is a rounded to the nearest one hundred? -400 Let q = 0.21 - 86.84. Let h = q + 87. Let i = h + -0.37000017. Round i to seven dps. -0.0000002 Let h = 0.13 - 0.256. Let o = h + 0.12472. What is o rounded to 3 decimal places? -0.001 Let v = 50731163 - 31731163. Suppose 0 = 4*w + 3*a - 15200000, w - 6*w = -4*a - v. Round w to the nearest 1000000. 4000000 Let i(g) = 102*g**2 + 22*g + 124. Let m be i(-8). Round m to the nearest 100. 6500 Let r = 28.3201681 + -28.32. Round r to five decimal places. 0.00017 Let s = -2.034 - -2.037126. Round s to 3 dps. 0.003 Let w = -98 - -100.55. Let s = -1.41 + w. What is s rounded to one dp? 1.1 Let i = 224308 + -110608. Round i to the nearest ten thousand. 110000 Suppose -21*i + 559680000 = -54*i. Round i to the nearest one million. -17000000 Let j = 5.86858 - -0.00542. Let t = -0.074 + j. Round t to 0 dps. 6 Let x = 961.99997867 + -962. Round x to six dps. -0.000021 Let r = 41 + -56. Let q = r + 15.00000056. Round q to 7 decimal places. 0.0000006 Let d = -102 - -107.1. Let r = 0 + d. What is r rounded to zero dps? 5 Let b = -419 - -65. Let p = b - -353.999761. Round p to 5 dps. -0.00024 Suppose 2*t = -6*t + 37200. What is t rounded to the nearest one thousand? 5000 Let p = 371196.89599743 - 371197.21. Let h = 307.686 - 308. Let z = p - h. Round z to seven decimal places. -0.0000026 Let f(j) = -3891*j + 228. Let l be f(-12). Round l to the nearest 1000. 47000 Let w(m) = m**2 + 3*m - 4. Let c be w(-4). Let g be 0*(c + -2 + 1). Suppose 2*r + 2*r - 400 = g. Round r to the nearest ten. 100 Let m = 0.573 - 0.033. Let r = 3.84 - m. Let y = r - -4.4. Round y to zero decimal places. 8 Let y = 17109 - 17109.0007037. What is y rounded to five decimal places? -0.0007 Let s = 2.84000816 - 2.84
{ "pile_set_name": "DM Mathematics" }
*a**2 - 50. 1140*a**2 Collect the terms in -434*a + 867*a + 3049386 - 432*a. a + 3049386 Collect the terms in 7765 - 9*y + 7153 + 28916 + 1696. -9*y + 45530 Collect the terms in 4*x + 716*x**3 - 22166 + 22166 - 4*x - 728*x**3. -12*x**3 Collect the terms in -45127*r + 12361*r**2 - 4119*r**2 - 4130*r**2 + 45127*r - 4114*r**2. -2*r**2 Collect the terms in -66*i - 87*i + 153*i + 14134*i**3. 14134*i**3 Collect the terms in -1480*u**2 + 2464*u**2 - 3000*u**2. -2016*u**2 Collect the terms in 8873 + 8867 - 20*g + 8864 + 8867 - 35471. -20*g Collect the terms in -19539*l**2 + 3914*l**2 + 3914*l**2 + 3880*l**2 + 3915*l**2 + 3918*l**2. 2*l**2 Collect the terms in -14403327*a + 28805363*a - 14402034*a. 2*a Collect the terms in -h + 5 + 792*h**2 + 839*h**2 - 1701*h**2 - h. -70*h**2 - 2*h + 5 Collect the terms in 3 - 3 + 398*u + 16*u + 2939*u. 3353*u Collect the terms in 104*x**2 + 42*x + 586*x**2 - 121*x**2 + 2260*x**2. 2829*x**2 + 42*x Collect the terms in 20 - 323 + 241 + 15 + 25 + 38*j + 22. 38*j Collect the terms in -410*v - 270 - 402*v - 399*v + 1214*v. 3*v - 270 Collect the terms in -112702*q**2 - 111706*q**2 + 223081*q**2. -1327*q**2 Collect the terms in 3*o**3 + 3*o**3 - 3*o**3 - 33813 - 4*o**3 + 3*o**3. 2*o**3 - 33813 Collect the terms in -12*j**3 - 942*j + 31*j**3 + 989*j. 19*j**3 + 47*j Collect the terms in -37*v**3 + 717695627 + 2*v**2 - 717695627. -37*v**3 + 2*v**2 Collect the terms in 5 - 2739*m + 670*m + 632*m + 680*m + 676*m. -81*m + 5 Collect the terms in 2 + 11207929*p - 2 - 22415834*p + 11207907*p. 2*p Collect the terms in 300*w**2 - 465 - 314*w**2 + 7*w + 465. -14*w**2 + 7*w Collect the terms in -43 + 40513*t**2 + 41 + 0 + 2. 40513*t**2 Collect the terms in -975*v - 1775*v + 2730*v + 1. -20*v + 1 Collect the terms in -292309*n**2 + 83 - 37 + 292309*n**2 - 46 + 3*n**3. 3*n**3 Collect the terms in -196743 - 196735 + 590222 + 23*h**3 - 101*h**3 - 196744. -78*h**3 Collect the terms in 70653*a**3 + 70589*a**3 - 141220*a**3. 22*a**3 Collect the terms in 2*u**3 + 46623381100*u**2 + 2*u**3 - 46623381100*u**2. 4*u**3 Collect the terms in -425286*c + 11 + 15 - 26 + 425267*c. -19*c Collect the terms in 106*f + 1157 + 248 - 427 + 385. 106*f + 1363 Collect the terms in 11097*u**2 - 6 - 5526*u**2 + 6 - 5569*u**2. 2*u**2 Collect the terms in 11*l + 33*l + 628*l + 11*l + 681*l. 1364*l Collect the terms in 797*w - 4924*w - 1941*w. -6068*w Collect the terms in -5*a + 3*a + 6465945 - 6466044. -2*a - 99 Collect the terms in -4*y**3 - 55 - 170 - 53 + 278 - 11*y**3. -15*y**3 Collect the terms in 5213*o**2 - 874*o**2 - 873*o**2 - 868*o**2 - 868*o**2 - 867*o**2 - 865*o**2. -2*o**2 Collect the terms in -415*u**2 - 490 - 87*u + 307 + 182 + 90*u. -415*u**2 + 3*u - 1 Collect the terms in -659521*q + 3642414*q - 55793842*q - 4649020*q. -57459969*q Collect the terms in -528*g + 291*g - 61*g**2 + 57*g**2 + 237*g. -4*g**2 Collect the terms in 17*j + 21*j - 95*j + 16*j + 22*j + j**3 + 19*j. j**3 Collect the terms in 2 + 18 - 33 + 10*k + 4 + 11 + 13*k. 23*k + 2 Collect the terms in 3*q + 2*q**2 - 6*q**2 + 61951 - q - 5*q**2. -9*q**2 + 2*q + 61951 Collect the terms in -1 + 19*k + 16*k**3 + 31*k + 50*k - 205*k. 16*k**3 - 105*k - 1 Collect the terms in 11137032*h**3 + h - h - 11137207*h**3. -175*h**3 Collect the terms in 4 + 71*h - 44*h - 19 - 35*h + 15. -8*h Collect the terms in -2*n**2 - 67*n + 27*n - 48 - 199 + 26*n + 16*n. -2*n**2 + 2*n - 247 Collect the terms in -3 + 6 - 9 + 4 + 0*m - m + 1916*m**2. 1916*m**2 - m - 2 Collect the terms in 313660*r**2 - 941096*r**2 + 313676*r**2 + 313761*r**2. r**2 Collect the terms in 13915 - 3544 + 7*z - 14*z + 3020 + 14*z. 7*z + 13391 Collect the terms in 77*h**3 + 103*h**3 + 36*h**3 - 149*h**3. 67*h**3 Collect the terms in -1812943*s**2 - 14*s**3 + 906414*s**2 + 906529*s**2. -14*s**3 Collect the terms in 0 + 5 - 5 - 110801482*b**3 + 110801488*b**3. 6*b**3 Collect the terms in -20456 - 20588 + 27*k + 41037. 27*k - 7 Collect the terms in 37695725964*k**3 + 0*k + 0*k - 37695725960*k**3. 4*k**3 Collect the terms in -254*f**3 + 84*f**3 + 81*f**3 - 21*f + 21*f + 82*f**3 + 142*f**2. -7*f**3 + 142*f**2 Collect the terms in -218*q - 19 + 738*q**3 + 18 + 216*q. 738*q**3 - 2*q - 1 Collect the terms in -99*i - 72*i + 83*i - 96*i - 32*i. -216*i Collect the terms in -28885956 + 57771902 + 7*z + 4*z - 28885946. 11*z Collect the terms in 18*x + 32669711*x**3 - 16334849*x**3 - 18*x - 16334858*x**3. 4*x**3 Collect the terms in 2559*l**3 + 501*l**3 + 2553*l**3 - 5604*l**3. 9*l**3 Collect the terms in -641*u**2 - 562*u**2 + 639*u**2. -564*u**2 Collect the terms in -4662*b - 80*b**2 + 2309*b + 2353*b. -80*b**2 Collect the terms in -13694*c**2 - c + 27389*c**2 - 13691*c**2. 4*c**2 - c Collect the terms in 62*q - 35261*q**2 + 17650*q**2 + 17611*q**2 + 29*q**3 - 62*q. 29*q**3 Collect the terms in 187834*x**3 - 375418*x**3 + 187808*x**3. 224*x**3 Collect the terms in 506*v**3 + 1090214772 - 9*v**2 - 1090214772 + 9*v**2. 506*v**3 Collect the terms in 90 + 1788112*o**3 - 1788110*o**3 + 93. 2*o**3 + 183 Collect the terms in -16279*i - 16126*i + 31*i**3 + 32405*i. 31*i**3 Collect the terms in -341*y**3 + 539534*y**2 - 539534*y**2. -341*y**3 Collect the terms in -155 + 62759*d - 191 + 74 - 157. 62759*d - 429 Collect the terms in 56106547 - 26*h + 17*h - 56106547. -9*h Collect the terms in 1250*o + 15619 - 1231*o - 15594. 19*o + 25 Collect the terms in -8400429314*p**3 + 4200214657*p**3 + 4200214658*p**3. p**3 Collect the terms in 363160903752 - 5*x**2 - 363160903752. -5*x**2 Collect the terms in -16 + 17 - 14 - 1234*d**2 + 415*d**2 + 407*d**2 + 409*d**2. -3*d**2 - 13 Collect the terms in -8*u - 20448*u**2 - 4419*u**2 + 8*u. -24867*u**2 Collect the terms in -31 + 11170*q**2 - 29 + 79 - 30. 11170*q**2 - 11 Collect the terms in -8 - 2235634*h + 1 + 745213*h + 745201*h + 745206*h. -14*h - 7 Collect the terms in 5787*t**2 - 2837*t**2 - 2900*t**2 - 5 + 5. 50*t**2 Collect the terms in -5019*n**2 + 4162*n**2 + 2398*n**2. 1541*n**2 Collect the terms in 32526150 - 32526150 - 6228*j. -6228*j Collect the terms in -5333*o**3 + 5304*o**3 - 159492*o**2 + 159492*o**2. -29*o**3 Collect the terms in -59*x + 4081 - 80*x + 74*x - 4081. -65*x Collect the terms in 2*k**2 - 644*k - 83 - 97 + 181. 2*k**2 - 644*k + 1 Collect the terms in g**3 - 9*g**3 - 61*g**3 + 4*g**3 + 63*g**3. -2*g**3 Collect the terms in -10*w - 75 + 268 - 94 - 99. -10*w Collect the terms in -257216*q + 2600*q**2 + 257216*q - 2596*q**2. 4*q**2 Collect the terms in -2353*d + 34 - 16 - 2 - 16 + 2357*d. 4*d Collect the terms in 740*y + 211 + 18*y**3 - 209 - 23*y**3 + 6*y**3. y**3 + 740*y + 2 Collect the terms in 0 - 11*r**3 - 101950*r + 0 + 101965*r. -11*r**3 + 15*r Collect the terms in -1863881 + 3727758 - 10*o**2 - 1863877. -10*o**2 Collect the terms in -343*n**3 - 55*n**3 + 2*n - 1 - 1217*n**3 + 1. -1615*n**3 + 2*n Collect the terms in -75752*n**3 + 9066*n**3 - 97687*n**3 + 12*n**2 - 68553*n**3. -232926*n**3 + 12*n**2 Collect the terms in 234*u**2 + 190*u**2 + 8*u**2 - 47*u**2 - 2 + 24*u**2. 409*u**2 - 2 Collect the terms in 12852 + 2*o**3 + 11938 - 24790 - 14*o**3. -12*o**3 Collect the terms in 7*r - 82 - 77 - 78 - 82 - 69 + 388. 7*r Collect the terms in 2 - 2 - 236125*w**3 + 236121*w**3. -4*w**3 Collect the terms in 405*u**2 - 685*u**2 + 284*u**2 + 232*u**2. 236*u**2 Collect the terms in 276*m + 827*m + 2513 - 2513. 1103*m Collect the terms in -175*o**3 + 931*o**3 - 242*o**3. 514*o**3 Collect the terms in 2027*k - 870*k + 11546*k - 3566*k + 14307*k. 23444*k Collect the terms in -2*d + 6025*d**3 + 6025*d**3 + 2*d + 5728*d**3 - 17484*d**3. 294*d**3 Collect the terms in -10211691*f**2 - 4 + 10211691*f**2 - 13*f**3. -13*f**3 - 4 Collect the terms in -23*k**2 + 64*k**2 + 8*k**2 + 3*k + 52*k**2 + 0*k. 101*k**2 + 3*k Collect the terms in 729*b + 1841 - 931 - 920. 729*b - 10 Collect the terms in 10999 - 8404 + 21103 + 18449 - 8894 - 2*m. -2*m + 33253 Collect the terms in 2 - 5 - 38 + 347*d + 15 - 8 + 42. 347*d + 8 Collect the terms in -9 + 2 - 7386*o**2 - 66356*o**2 + 9. -73742*o**2 + 2 Collect the terms in -33*n**3 + 139 + n**2 + 5 - 24*n**3 - 22*n**3 + 83*n**3. 4*n**3 + n**2 + 144 Collect the terms in -25 + 975*l**3 - 475*l**3 - 441*l**3. 59*l**3 - 25 Collect the terms in -9660*p**3 + 3398*p**3 + 1272 - 633 - 639.
{ "pile_set_name": "DM Mathematics" }
3*t, -6*t + 25 - 53 = -2*h for h. -1 Solve -4*w + 28 = -2*p, -98*w + 4*p + 41 = -93*w for w. 5 Solve 0 = 2*g - d - 9, g + 3*d = -0*d + 1 for g. 4 Solve -252 = -x - 8*b - 257, 4*b = -4 for x. 3 Solve 4*s - 6*k = -8*k - 38, 2*s - 1 = 3*k for s. -7 Solve 0 = 5*z - 4*r - 10, 68*r + 2 = z + 64*r for z. 2 Solve 0 = -i - 3, 3*a - 8*a + 3*i + 14 = 0 for a. 1 Solve 2*b + 70 = v + 80, 0 = 5*v - b + 41 for v. -8 Solve -9 = -52*v + 55*v + 3, 2*v = 5*r - 38 for r. 6 Solve 5*o - 19 = i, -i + 159 = -3*o + 168 for o. 5 Solve 3*t + 16*c = 8*c + 121, 0 = -5*t + 3*c - 27 for t. 3 Solve r = -t + 2, 17*t - 20*t + r + 2 = -8 for t. 3 Solve -4*v - 355*f - 8 = -357*f, 2*v - 16 = -4*f for v. 0 Solve 4*s = -2*i - 4, -840*s = -5*i - 842*s - 2 for i. 0 Solve 3*t - 10 = -d, 0 = -92*d + 91*d + 5*t - 0*t - 30 for d. -5 Solve 5*x = 17*x - 2*n + 60, 4*n + 5 = -x for x. -5 Solve f + 781 = 776, -2*d + 12 = -4*f for d. -4 Solve 4*f = 8*f + a - 28, 5*f - 20 = -5*a for f. 8 Solve 0 = i + 2*f + 5, 56*i - 5 = 59*i - 4*f for i. -3 Solve -r + 3*t = 0, -13*t + 4 = 4*r - 7*r for r. 3 Solve 0 = -2*a + 4, 4*a - 56221 = -3*p - 56201 for p. 4 Solve 0 = -z + 4*o + 16, 370*z + 5*o = 372*z - 23 for z. 4 Solve k + 1292*w - 2 = 1296*w, -5*k + 2*w = -10 for k. 2 Solve -3*v = 4065*y - 4062*y - 12, -5*v + 23 = 2*y for v. 5 Solve 4*x = -2*h + 4, -72*x = 13*h - 69*x - 26 for h. 2 Solve j - 3*j + 8 = 0, -6*j + 63 = 8*a - 49 for a. 11 Solve 3*q + 231 = -9*y, 74*y + 3*q = 72*y - 63 for y. -24 Solve -6 = -2*y + 2*q, 2*y + 2482*q - 16 = 2486*q for y. -2 Solve -9*w = 128*n - 132*n - 137, -19 = -3*w - 4*n for w. 13 Solve 10 = -52*j + 49*j - a, -4*j + 4*a = 24 for j. -4 Solve -3*k + 12 = -3*f, -5*k + 418*f + 44 = 421*f for k. 7 Solve 9*u - z + 25 = 5*u, -5*z + 74 = -3*u for u. -3 Solve 0 = 2*s + 4*p + 18, -2*p + 14523 = 8*s + 14511 for s. 3 Solve 293*b = 297*b - c - 16, -6*b = c - 34 for b. 5 Solve -n + 4*g + 25 = 0, -877*n + 876*n = -3*g - 18 for n. -3 Solve 2*b + 248*x - 56 = 253*x, 0 = -2*b - 2*x - 28 for b. -2 Solve -5*s = 3*w + 9, -8*w + 4*w = -11*s + 12 for s. 0 Solve 30*f - 28*f = 10, 3*y + 5*f - 40 = 0 for y. 5 Solve 2*b - 8 = -2*m, -15*m = -19*m + b - 9 for m. -1 Solve -u + 4*v = -3, 11 - 13 = 2*v for u. -1 Solve -2*x + d = -3, -137*d - 7 = -4*x - 134*d for x. 1 Solve -2*j - 3*h = 4, -4*j + h + 4 = -6*j for j. -2 Solve -971*r - 8 = -975*r - 3*q, -6*q = r - 23 for r. -1 Solve -5*z = -5*y - 40, -93*z - 7 = -97*z - y for z. 3 Solve 108*u = -7*k + 110*u + 34, -3*u = -k + 13 for k. 4 Solve -2*k - 3*l = 38, 109 = -3*k - 5*l + 47 for k. -4 Solve 7*m - 18 = -5*p + 4*m, 0 = -4*p + 4*m + 40 for p. 6 Solve -4*n = -3*h - 55, -388*h + 47 = 2*n - 391*h for n. 4 Solve 3*i = -5*q + 10, -7*q = 2*i - 117 + 92 for i. -5 Solve -3*g = 2*f + 11, -4*g = 36 - 24 for f. -1 Solve 4*q + 2*s = 12, -6*q + 5*s - 23 = -9*q for q. 1 Solve -4*j = -2*w - 26, 6984*j - 6989*j = -2*w - 22 for w. -21 Solve s - 102 + 100 = 2*h, -2*s - 2*h = -4 for s. 2 Solve -5*q - 19 = -j, -14*q - 585 = -5*j - 534 for j. -1 Solve 3*q - 23 = 5*x, 13*q - 4*x = 16*q + 13 for q. 1 Solve -100*l + 104*l + 5*y = 46, -2*l = -5*y + 52 for l. -1 Solve l + 5 = -2*f, -2*l - 1609*f + 25 = -1612*f for l. 5 Solve -v = -2*g, -795*v + 20 = -2*g - 799*v for g. -2 Solve q + 2*k - 9 = 0, -k = -84*q + 85*q - 2 for q. -5 Solve 6*i = -y - 27, -2*y + 80 - 106 = 5*i for y. -3 Solve -5*p = c - 27, 3*c - 57 + 31 = -4*p for c. 2 Solve 2*r = -4*b - 16, 6*r - 2*r = 2*b - 12 for b. -2 Solve -3*m - 25 = g, 6847*g - 6851*g - 72 = -2*m for m. -2 Solve 0 = -5*c + 3*k + 2 - 4, c = -k + 6 for c. 2 Solve 257*k - 264*k - 52 = 5*r, 14 = -2*k - r for k. -6 Solve -3*k - 5*r = -5, 568*r - 4 = 570*r for k. 5 Solve -118*i - 11 = w - 116*i, -5*i = 5*w + 20 for w. 3 Solve -3*d + 17 = 2*o, 15*o = 10*o + 2*d - 5 for o. 1 Solve -2*x = -5*x + 3*t - 12, -80 = 20*x - 3*t for x. -4 Solve 5*g = -5*z, -6*z = -16*g - 15*g + 28*g - 27 for z. 3 Solve 0 = 2*q - 2771*o + 2776*o - 5, 7*o = -7*q + 7 for q. 0 Solve -1784 + 1751 = -5*f - 2*h, 5*f - h - 21 = 0 for f. 5 Solve 4 + 0 = -4*f - 2*o, -3*o = -0*f - 2*f - 10 for f. -2 Solve 2*g + 3*t = -7, 5*g + 248 = t + 239 for g. -2 Solve u - 1 = 0, 2*o + 4*u = -153 + 155 for o. -1 Solve 511*r + 7 - 4 = 513*r + 3*w, 5*r = -9*w + 12 for r. -3 Solve -4*c + 5*v = -35, -9*c + 9 = 4*v - 24 for c. 5 Solve 4*o = -6*k + 38, 295*k - 296*k + 5*o - 56 = 0 for k. -1 Solve 2*p + 0 = -22, 17 = -108*a + 107*a - 2*p for a. 5 Solve -2*m = 5*p + 13, 0 = -4*m + 5*p - 20 + 9 for m. -4 Solve -20 = -4*o, -8*o = 9*k - 10*k - 43 for k. -3 Solve 0 = -4*a - 5*f + 6, -5*a + 682 = f + 664 for a. 4 Solve -12279*s = -4*n - 12284*s + 35, n + 3*s = 14 for n. 5 Solve -5*r + 1 = -l - 5, 66 = -71*l + 65*l for r. -1 Solve 731*n + 25 = 735*n - c, -4*n + 3*c = -35 for n. 5 Solve 0 = -5*v + 2*m - 60, 2*v = -2409*m + 2410*m - 24 for v. -12 Solve 0 = -3*b + 2*s + 5, -346*s + 347*s - 1 = 5*b for b. -1 Solve 2*p + 1280*k + 5 = 1281*k, -2*k - 10 = 0 for p. -5 Solve -4*a - 19*s - 46 = -25*s, 5*a + s + 15 = 0 for a. -4 Solve 0 = -4*a - 2*m + 30, 5*m - 209 + 169 = -3*a for a. 5 Solve 6*d = 2*x + 4*d + 12, 0 = 5*d + 852 - 857 for x. -5 Solve 0 = 4*b + 6*p + 6, 24*b = 28*b - 5*p - 27 for b. 3 Solve 4*m = -180*p + 171*p + 76, -3*m + 4*p - 29 = 0 for m. 1 Solve 2*a = 8*x + 12, -19511*x = -3*a - 19516*x + 18 for a. 6 Solve -12*n + 17*n - 18 = 2*q + 11, -3*q = n + 35 for q. -12 Solve 2*l - 30256*q + 6 = -30252*q, 2*q = 5*l - 17 for l. 5 Solve -5*r - 6*v = 57, 2*v - 14 + 19 = -9 for r. -3 Solve 3*t - 45 = -5*c - 122, -4*t - 100 = 6*c for c. -4 Solve 630*o + 13 = 635*o + 3*v, -4*o - 3*v + 11 = 0 for o. 2 Solve 113*p + 2*r = 113*p - 8, 3*p + 8*r = -50 for p. -6 Solve 15*p + 28 = 3*i + 20*p, -i = 2*p - 11 for i. 1 Solve -3*k - 20 = -t, 17*k = -4*t + 20*k + 44 for t. 8 Solve 0 = 4*k + 3*z + 29, 0 = -27*k + 5*z - 2 - 118 for k. -5 Solve -5*b = 3*o - 21, -b - 43882 + 43893 = 4*o for b. 3 Solve 16*z - 4*f = -28, 1991 - 1996 = -4*z - 3*f for z. -1 Solve 2*q - 20 = -3*v + 9, -4*v + 48 = -2*q for v. 11 Solve -k = -3*u + 94 - 71, -3*u - 4*k = -13 for u. 7 Solve 4*f - 42 = 2*z, -5*z + 0*f + 9 - 70 = f for z. -13 Solve 2*v + 5*s - 108 = 15*s, -3*s - 16 - 17 = 0 for v. -1 Solve -n - 86*v + 83*v - 1 = 0, 11 = -11*n - 5*v for n. -1 Solve 3*c + 50 = 4*j, 0 = -2*c + 744*j - 748*j + 40 for c. -2 Solve -10*v = -3*t - 12*v + 7, -20 = 5*v for t. 5 Solve 2*g = -5*u - 3, -3*g + 4*u + 16 = -14 for g. 6 Solve 0 = -2*l + 3*y + 11, -88 + 111 = 5*l - 3*y for l. 4 Solve -8*b - 28*x = -7*b + 17, -4*x + 68 = -4*b for b. -17 Solve 13 = -o - f, -10*o - 8*f - 110 = -3*f for o. -9 Solve -18*g + 17*g = 2*z + 1, -4*g + 21 = 3*z for g. 9 Solve 3*g + z + 6 = 0, 2397*g - 2395*g + 4 = -2*z for g. -2 Solve -21*c + 2*h + 12 = -27*c, -c - 24 = 4*h for c. 0 Solve 2*a + 4589*f + 10 = 4588*f, 5*a + 31 = -f for a. -7 Solve -12*f + 16*f + d - 7 = 0, -12 = 3*f - 5*d for f. 1 Solve -5*q + 77*x = 1077 - 871, -q + 3*x - 4 = 0 for q. 5 Solve 492*f = 497*f + 3*c + 70, 2*c - 45 = 5*f for f. -11 Solve 6*v - 2*v - 4*j + 32 = 0, -5*j = 5*v - 80 for v. 4 Solve -7*d + 5*d = -v, 0 = d + 4*d - 22*v + 20*v for d. 0 Solve 0 = -2*l - 4*r - 1 - 7, 12 = -4*r for l. 2 Solve 0 = -2*a - 116*q + 119*q + 21, 4*q + 30 = 3*a for a. 6 Solve 2*s + 4*o + 6 = 0, 2*s + 5*o - 22851 + 22861 = 0 for s. 5 Solve -4*h + 2 = -g, 3736*h = 3740*h - 3*g + 2 for h. 1 Solve -i = 7*a + 65 + 3, 2*a - 3*i = -3 for a. -9 Solve 77 = 3*u - 3*o + 86, 0 = -u - 4*o - 8 for u. -4 Solve 5*t + 19*i - 15*i = 27, -3*i = t - 12 for t. 3 Solve 2*g + 9275*t = 9272*t + 11, g - 2*t = 2 for g. 4 Solve 2*i + 2*j = 10, 10*i - 13*i + 2*j = 0 for i. 2 Solve -5*o + 3 = -2*w, 55*o - 2*w + 42 = 65*o for o. 3 Solve -5*y + 5*q - 33 = -3, 0 = 4*y + 2*q + 54 for y. -11 Solve -4*x + 12 = -5*z, 86*x = 90*x - 4*z - 12 for x. 3 Solve 2*a + 2 = 0, -8*y = -4*y + y - 4*a + 16 for y. -4 Solve -5*n = 16*p - 36*p + 55, -12 = -3*n - 3*p for n. 1 Solve -w + 1 = -4*q, -144*w = -149*w - 5*q - 20 for w. -3 Solve 0 = -z - 3*s - 11, -7*s = 3*z + 11142 - 11119 for z. 4 Solve -x = 4*a - 8, -129*x = -127*x - a - 7 for x. 4 Solve -4*f + 4 = -3*k + 25, -5 = 5*k for f. -6 Solve -3*m - 16 = -a, 2*a + 16*m = 14*m for a. 4 Solve -12*k - 39 = -3*i, -k = -2119*i + 2114*i + 84 for i. 17 Solve -14 = 2*s + 399*r - 397*r, 3*s - 4*r - 7 = 0 for s. -3 Solve 9 = 7*h + m + 5, 3
{ "pile_set_name": "DM Mathematics" }
at is 91 minutes after 3:50 PM? 5:21 PM What is 564 minutes after 5:34 PM? 2:58 AM What is 2 minutes after 2:13 PM? 2:15 PM How many minutes are there between 3:52 AM and 10:31 AM? 399 How many minutes are there between 3:18 AM and 10:51 AM? 453 What is 266 minutes before 8:04 AM? 3:38 AM How many minutes are there between 7:22 AM and 7:26 AM? 4 What is 708 minutes before 9:38 AM? 9:50 PM How many minutes are there between 9:06 AM and 9:57 AM? 51 What is 578 minutes before 8:29 PM? 10:51 AM What is 485 minutes after 8:45 AM? 4:50 PM How many minutes are there between 7:19 AM and 7:07 PM? 708 What is 682 minutes after 2:07 AM? 1:29 PM How many minutes are there between 8:56 PM and 6:55 AM? 599 What is 628 minutes before 6:59 AM? 8:31 PM How many minutes are there between 6:59 PM and 9:16 PM? 137 What is 136 minutes after 5:18 AM? 7:34 AM What is 41 minutes after 5:07 AM? 5:48 AM How many minutes are there between 11:58 PM and 2:23 AM? 145 How many minutes are there between 9:09 AM and 2:02 PM? 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367 How many minutes are there between 8:33 AM and 2:26 PM? 353 How many minutes are there between 1:29 PM and 2:11 PM? 42 What is 204 minutes after 6:51 AM? 10:15 AM How many minutes are there between 4:21 AM and 12:08 PM? 467 How many minutes are there between 5:24 PM and 8:14 PM? 170 How many minutes are there between 1:05 AM and 11:39 AM? 634 What is 556 minutes before 12:17 PM? 3:01 AM How many minutes are there between 12:16 PM and 9:34 PM? 558 What is 173 minutes after 3:12 AM? 6:05 AM What is 246 minutes after 3:13 PM? 7:19 PM What is 10 minutes before 7:43 PM? 7:33 PM How many minutes are there between 4:54 AM and 10:22 AM? 328 What is 98 minutes after 4:00 PM? 5:38 PM What is 402 minutes after 11:51 PM? 6:33 AM What is 432 minutes before 3:49 PM? 8:37 AM What is 553 minutes after 4:26 AM? 1:39 PM How many minutes are there between 12:52 PM and 4:14 PM? 202 How many minutes are there between 2:53 PM and 11:21 PM? 508 How many minutes are there between 4:24 PM and 10:50 PM? 386 How many minutes are there between 1:30 AM and 7:29 AM? 359 What is 44 minutes before 4:39 AM? 3:55 AM How many minutes are there between 8:23 AM and 12:57 PM? 274 What is 556 minutes after 12:27 AM? 9:43 AM How many minutes are there between 8:20 PM and 6:19 AM? 599 What is 634 minutes before 7:03 AM? 8:29 PM What is 702 minutes after 1:47 PM? 1:29 AM What is 283 minutes after 12:47 PM? 5:30 PM How many minutes are there between 8:46 PM and 2:39 AM? 353 What is 63 minutes after 10:28 PM? 11:31 PM What is 445 minutes after 4:10 AM? 11:35 AM What is 665 minutes before 6:37 PM? 7:32 AM What is 709 minutes after 9:01 AM? 8:50 PM How many minutes are there between 5:13 AM and 3:29 PM? 616 How many minutes are there between 4:18 PM and 7:08 PM? 170 How many minutes are there between 9:16 PM and 11:00 PM? 104 How many minutes are there between 10:07 PM and 8:53 AM? 646 What is 137 minutes before 2:29 AM? 12:12 AM How many minutes are there between 3:24 AM and 2:27 PM? 663 What is 167 minutes before 7:57 PM? 5:10 PM What is 470 minutes before 2:57 AM? 7:07 PM How many minutes are there between 4:21 AM and 9:58 AM? 337 What is 77 minutes before 8:28 PM? 7:11 PM How many minutes are there between 9:08 AM and 9:17 AM? 9 How many minutes are there between 5:36 PM and 8:37 PM? 181 How many minutes are there between 4:52 AM and 12:38 PM? 466 What is 154 minutes after 8:35 PM? 11:09 PM What is 627 minutes before 7:39 AM? 9:12 PM What is 303 minutes after 12:34 AM? 5:37 AM How many minutes are there between 4:44 AM and 3:39 PM? 655 What is 525 minutes before 4:13 PM? 7:28 AM How many minutes are there between 11:55 PM and 2:59 AM? 184 What is 387 minutes after 7:37 AM? 2:04 PM What is 528 minutes before 3:40 AM? 6:52 PM What is 321 minutes before 8:12 AM? 2:51 AM What is 400 minutes before 2:20 AM? 7:40 PM What is 553 minutes before 2:55 PM? 5:42 AM What is 325 minutes before 8:37 PM? 3:12 PM How many minutes are there between 10:23 PM and 10:02 AM? 699 What is 52 minutes after 3:00 PM? 3:52 PM How many minutes are there between 4:01 PM and 8:56 PM? 295 What is 127 mi
{ "pile_set_name": "DM Mathematics" }
3, 5, -149481? -149481 What is the fourth biggest value in -0.3, 27976.241, 0.01, -3? -3 Which is the third smallest value? (a) -73716237 (b) -5 (c) 0.3 c Which is the second biggest value? (a) -0.5 (b) -2915118 (c) 0.4 (d) 3 c What is the fourth biggest value in -0.2, 55, -0.3, 2/7, -5, 7.38? -0.2 What is the third smallest value in 11/4, 1, -1/4, -227, 5, -0.04? -0.04 What is the sixth smallest value in 0.4, 4, 1/8, 27049, -2/7, -0.36? 27049 Which is the second smallest value? (a) -21 (b) -5 (c) -1153/3 a What is the fourth biggest value in 0.028, -1, -2.49, -4/5, 3, 2/5, -33? -4/5 Which is the biggest value? (a) -3.2 (b) -5/3 (c) -0.049 (d) 0.4 (e) -43 d What is the fourth biggest value in 4/9, -2/3, -243, 2, -0.08? -2/3 Which is the smallest value? (a) 381 (b) -159 (c) -6/23 b Which is the fifth biggest value? (a) 4 (b) 1096 (c) -10 (d) -2 (e) 1/3 (f) 1.6 d What is the second biggest value in -2, -2810, 25, 5, -3/4, -3? 5 Which is the second biggest value? (a) 1.4202 (b) -156 (c) 4 (d) -4 (e) 5 c Which is the smallest value? (a) -4.873 (b) -4/3 (c) 6.221 a What is the fourth smallest value in 1, 5, -4/749, 0.3, -0.3? 1 What is the smallest value in 4, 2/5, -4, -76/11, 1, -521? -521 What is the fifth biggest value in 1/4, -2/43, 0.05, -41, -11, 0.5? -11 Which is the biggest value? (a) -1.7 (b) -0.07 (c) -449 (d) -1.4 b What is the third smallest value in -7, 2/11, 0.24, 1/36, 2/7, -0.3? 1/36 What is the third smallest value in -2/5, 30.5, -0.5, -1481/5? -2/5 Which is the fifth smallest value? (a) 0 (b) 2/269 (c) 0.2 (d) 1425/2 (e) 2/9 (f) 1 f What is the smallest value in -2/7, 511, 1.327? -2/7 What is the fifth biggest value in -3, 0.3, -960, -4/47, -1/2, -18? -18 What is the second smallest value in 0.5, -4, 13625, 3/16, -0.3, 0.1? -0.3 What is the biggest value in -6.387, 4, -1.2, -6/31? 4 What is the fifth smallest value in -3/5, -5361, -4/5, -0.4, 388? 388 What is the third biggest value in -1.4, -29/2796, 5? -1.4 What is the third smallest value in -2/7, 4, -1/4, -7, 0.5, 682? -1/4 What is the third smallest value in -521842, 3, 0.074, -2? 0.074 Which is the second smallest value? (a) -39 (b) 8/9 (c) -15163 a What is the second smallest value in -4, -1/5, 5511241? -1/5 Which is the fifth biggest value? (a) 3 (b) -0.22 (c) -4 (d) -25 (e) 2/15 (f) -1 c Which is the second smallest value? (a) -1 (b) -4 (c) -5 (d) 9368 (e) -7 c Which is the second biggest value? (a) -11.42212 (b) 1/3 (c) -2/7 c What is the biggest value in -2098, -2/45, -1091? -2/45 Which is the biggest value? (a) 5 (b) 0.1 (c) -0.4 (d) -131/630 (e) 2/7 (f) -18 a Which is the second biggest value? (a) -1 (b) 4 (c) 0.0189105 (d) 1 (e) -2 d Which is the biggest value? (a) -107 (b) -5 (c) 9 (d) -1/4 (e) -3/20 c Which is the third biggest value? (a) -192 (b) 1/4 (c) -2/1859 (d) 1/8 (e) -1 c Which is the second biggest value? (a) 14 (b) 5 (c) -13889 b Which is the second biggest value? (a) -3 (b) 0.095 (c) 0.5 (d) 71 (e) 1 (f) 0.7 (g) -0.2 e What is the third smallest value in 0.08, 0, 897, 1/6, 1.43, -0.5? 0.08 Which is the biggest value? (a) 0 (b) 116/9 (c) 21349 c Which is the third biggest value? (a) -4 (b) 18 (c) -1.3 (d) 204.1 (e) 0.4 e What is the seventh smallest value in 2.88, 0.2, 0.4, 15/7, -1/4, -6, -3/8? 2.88 What is the seventh biggest value in -1, 4/5, 3, 5, 1/2, 7, -12? -12 What is the smallest value in -411, -34550, -0.3? -34550 Which is the biggest value? (a) -2/9 (b) 304 (c) -0.3 (d) 5.2 (e) 0.4 (f) 1/3 b Which is the fifth biggest value? (a) -5 (b) -1/4 (c) -1.31 (d) -0.12 (e) -2 (f) 225 e What is the third biggest value in -41/4, -7339, -3, -22? -22 What is the fourth biggest value in -4, -4/5, -12, 9, 4/9, -1207? -4 Which is the biggest value? (a) 0.018 (b) 3.18 (c) -1/6 (d) -0.12 b What is the third smallest value in 430.89, -26, -16.3? 430.89 Which is the third smallest value? (a) -0.5 (b) 2/3 (c) 3782/13 (d) 0 (e) -1 (f) -0.15 f Which is the third biggest value? (a) 2100 (b) 1.653 (c) 4/11 c Which is the sixth biggest value? (a) -4 (b) -7 (c) -24 (d) 2/9 (e) 2 (f) -0.05 (g) 0.07 b What is the fifth biggest value in 1/3, 2.4, 1, 1559, 0.1, 1/5, 0.4? 1/3 What is the third smallest value in 11/27, 35, -3, 4, -2/17? 11/27 Which is the biggest value? (a) 1/4 (b) 1 (c) -2/1311 (d) -1 (e) -12 (f) 7 f Which is the third biggest value? (a) 5 (b) -2 (c) -4 (d) 1604 (e) -0.49 (f) -0.3 f Which is the second biggest value? (a) -791 (b) 12261/5 (c) 2/5 c What is the biggest value in 6900, -2/11, -13, -454? 6900 What is the sixth smallest value in -6, 2, 4, -12475, -1, -2? 4 Which is the fourth smallest value? (a) -32 (b) -1/27 (c) 1/12 (d) 1/7 (e) 6 d What is the second smallest value in -2, 0.2, 1647.454? 0.2 Which is the second biggest value? (a) 74/287 (b) 4 (c) 0.2 (d) 378 b What is the second biggest value in 1005.6, 35, 4, -70? 35 Which is the fifth biggest value? (a) -0.15 (b) 1 (c) 5 (d) -4.9 (e) -23 (f) -0.4 d What is the biggest value in -0.3, -1.2, 1, 31524/41, -4? 31524/41 Which is the biggest value? (a) -0.3 (b) -125/214 (c) 79/17 c What is the third smallest value in -4, -1/2, 152921, -3/2, 0.4? -1/2 What is the third biggest value in -18, 0.662458, -1, 0.6? -1 Which is the fourth smallest value? (a) 7281 (b) -0.06 (c) -0.173 (d) 5 a Which is the smallest value? (a) -64298 (b) 1.8 (c) -0.01 a Which is the third smallest value? (a) 0.1 (b) -5 (c) -199 (d) 2/9 (e) -0.764 (f) 0.2 e Which is the second smallest value? (a) 34.54 (b) -8.94 (c) 11/5 c What is the second smallest value in -0.2, -38368, -1.22? -1.22 What is the fourth smallest value in -1, 1/6, -5576/47, -0.543? 1/6 Which is the smallest value? (a) -2 (b) -0.3 (c) -6 (d) -1168631 d Which is the fourth smallest value? (a) -0.2 (b) -574 (c) -3 (d) -5 (e) -0.5 (f) 192 e Which is the smallest value? (a) -1013/3 (b) -0.91 (c) 2 a What is the third biggest value in -2/13, -12.57, -0.41, 2, 0.3, -2? -2/13 Which is the second smallest value? (a) 8 (b) -25 (c) -0.3 (d) -1/5 (e) -0.6 (f) 1/42 (g) 1.5 e Which is the sixth biggest value? (a) 0.5 (b) -0.22 (c) 40.1 (d) 4 (e) -2/3 (f) -0.08 e Which is the biggest value? (a) -2/243 (b) 398/5 (c) -3 (d) 12 b What is the biggest value in -2/15, -4, -2291460, -20, -0.4, 2? 2 Which is the third biggest value? (a) -0.2 (b) 1/2 (c) 0 (d) -4 (e) -0.1 (f) -7/4 (g) 44/3 c Which is the sixth smallest value? (a) 0.11 (b) -1 (c) -834/7 (d) -16 (e) 2 (f) 2/19 e Which is the fifth smallest value? (a) 1/7 (b) 0.3 (c) -533 (d) -210 (e) -121 b What is the third smallest value in 2/7, 3/5, 1/18, 79, 4/13? 4/13 Which is the third smallest value? (a) 2/5 (b) -32141.78 (c) 3 c Which is the second smallest value? (a) -4 (b) 1008 (c) -5 (d) -1326 c What is the second biggest value in -10.251, -30, -1, -14/3? -14/3 What is the fourth biggest value in 13, -4.4, -7138, -1/3? -7138 What is the smallest value in -2/5, -2, 565582? -2 What is the third smallest value in 201550, 1.1, -2/7? 201550 What is the fourth smallest value in -0.2, -2/3, 1/5, 0.4, 13.224? 0.4 Which is the fourth biggest value? (a) 20 (b) 1/4 (c) 2/19 (d) -2 (e) -13/5 d What is the fourth biggest value in -1.9, -3/7, -4, -312, -0.5, 4? -1.9 What is the fifth biggest value in -17/3, 2/7, 0.1, -2, -0.8, -2.6, 14? -2 What is the second smallest value in -0.2, -26, 408/191? -0.2 What is the second biggest value in 25164731, 4, -3? 4 Which is the third biggest value? (a) -0.3 (b) 0 (c) 2/7 (d) 0.4 (e) 4 (f) 3 (g) -1/113 d What is the smallest value in 0, -0.03, 0.1, 5/7, -0.01, -31, -0.1? -31 What is the second smallest value in -35843, -2/117, 0.8? -2/117 Which is the fourth biggest value? (a) 0.5 (b) -1/19 (c) -3 (d) 5 (e) -0.7 (f) -222 e Which is the second biggest value? (a) 135 (b) -31 (c) 0.97 (d) -4 (e) 0.2 c What is the third biggest value in 568, -43/32, -0.5, 0.39? -0.5 What is the fourth smallest value in 2/17, -0.3, 0.1038, -0.515? 2/17 What is the third smallest value in -24, -4/3, -707? -4/3 Which is the biggest value? (a) 2 (b) -18 (c) -206.687 a
{ "pile_set_name": "DM Mathematics" }
ainder when w(-21) is divided by 39? 36 Suppose -44*r + 51*r + 37072 = 119*r. Calculate the remainder when r is divided by 85. 76 Suppose 419*w + 13727 = 472*w. What is the remainder when w is divided by 70? 49 Let t = 5717 - 5708. Calculate the remainder when 521 is divided by t. 8 Suppose -152 = -5*s + s. Calculate the remainder when (1 - 954/(-16)) + 6789/18104 is divided by s. 23 Let s = 4989 + -4647. Calculate the remainder when s is divided by 201. 141 Suppose 4*p = y + 1917, -5*p + 1286 = 2*y - 1107. Suppose -2*n + 67 = 3*b - 9, 156 = 5*n - b. What is the remainder when p is divided by n? 31 Let u = 6574 - 6527. Calculate the remainder when 609 is divided by u. 45 Let h(c) be the first derivative of 5*c**2 + 315*c + 109. What is the remainder when h(-25) is divided by 20? 5 Suppose 5*p + c - 105 = 0, -3*p - 3*c + 6*c + 63 = 0. Let x = 45 - 24. Let y = x + -9. Calculate the remainder when p is divided by y. 9 Suppose 389 + 1303 = -4*i. Suppose 3*y - 166 = -46. Calculate the remainder when ((-3)/2)/(i/(-106) + -4) is divided by y. 39 Let o(i) = -27*i**2 + 696*i - 143. What is the remainder when o(25) is divided by 15? 7 Let s be 14/10 - (-7)/(70/6). Suppose -w - s*w + 21 = 0. What is the remainder when 30 is divided by w? 2 Suppose -20 = -2*u + 32. Let j(f) = f**3 + 7*f**2 - f + 4. Suppose 2*i - i = -v - 9, 2*v + 4 = 0. Calculate the remainder when u is divided by j(i). 4 Let x(d) = 5*d + 103. Suppose 0*o - 4*b = 2*o - 70, -4*o - 3*b + 120 = 0. Calculate the remainder when x(-10) is divided by o. 26 Let h(q) = -q**3 - 4*q**2 - 5*q + 4. Let r = -60811 - -60817. Calculate the remainder when h(-4) is divided by r. 0 Let w = 4 - 6. Suppose -3*v + 2605*z + 44 = 2600*z, v - 5*z - 28 = 0. Calculate the remainder when v is divided by (w - -6) + 3 + -1. 2 Suppose 0*f - 69 = -3*f. Suppose -2*g + 2018 = -8*w + 10*w, -3*g - 4057 = -4*w. Suppose -x = 22*x - w. What is the remainder when x is divided by f? 21 Let s(a) = 12*a - 20. Suppose 2 = u - 5*m + 3, 0 = 5*u + m - 21. Let r be s(u). Calculate the remainder when 38 is divided by (-172)/(-14) - 8/r. 2 Let w = -40 + 60. Suppose -5*r - 13*y + 289 = 0, 99*y + 66 = 2*r + 98*y. What is the remainder when r is divided by w? 17 Let j = 56 - 132. Let z = 4 - j. Suppose -3*s - s + z = -4*y, s - 40 = 5*y. What is the remainder when s is divided by 11? 4 Let n(h) = h**2 - 2*h - 4. Suppose 25 = -5*k - 5. Let j = 21 + k. What is the remainder when j is divided by n(-2)? 3 Let d(r) = 5*r**3 - 3*r**2 + 69*r - 7. Calculate the remainder when d(4) is divided by 414. 127 Let w = -72 - -105. Suppose -55 + 23 = -8*i. Suppose 5*p - 81 = 3*g, 4*p + 2*g - 66 = i*g. What is the remainder when w is divided by p? 15 Let d(w) = -415 - 2*w - 427 + w**2 + 797. What is the remainder when 47 is divided by d(-6)? 2 Let u = -42850 - -43433. Calculate the remainder when u is divided by 102. 73 Suppose 5*f + 3483 = -12*f + 22132. What is the remainder when f is divided by 258? 65 Let i = -845 - -789. What is the remainder when 132 is divided by (i - (-105)/7)/((-1)/1)? 9 Let y be (-1 - 0)/((-1)/4) - 3. Let v be (-1200)/(-42) - (-9)/21. Let j = y + v. Calculate the remainder when 149 is divided by j. 29 Let u be 21/(-35) + 5848/20*-1. Let b = 313 + u. What is the remainder when 58 is divided by b? 18 Let z(g) = -g**2 + 8*g + 80. Let i be z(13). Calculate the remainder when (57/2)/((-1)/(-2)) is divided by (-4 + 51/i)/((-3)/60). 9 Let o = 30 - 26. Suppose 11*s - 12*s = -o. Suppose -s*y + 66 = -82. Calculate the remainder when 146 is divided by y. 35 Let d = 1538 - 437. Suppose -267*c + 263*c + 360 = 4*s, 4*c - 452 = -5*s. Calculate the remainder when d is divided by s. 89 Suppose -5*l + 63 = 23. Let q(h) = h**3 - 7*h**2 - 2*h - 11. Let j = 14 + 5. Calculate the remainder when q(l) is divided by j. 18 Let j = -10908 + 10950. What is the remainder when 270 is divided by j? 18 Suppose -196427 + 49601 = -29*l + 2*l. Calculate the remainder when l is divided by 32. 30 Suppose 167*p - 129646 = -28*p + 29*p. What is the remainder when p is divided by 8? 5 Let z(o) = o + 71. Suppose -18*i - 55 - 215 = 0. What is the remainder when 108 is divided by z(i)? 52 Suppose 16*q - 678 = -38. Calculate the remainder when q is divided by ((-2)/6)/((-26)/1092). 12 Let d = 5874 - 5724. What is the remainder when 451 is divided by d? 1 Let z = -6003 + 6034. Let w(d) = d**3 - 9*d**2 - 4*d + 8. Let n be w(10). Let c = 127 - n. Calculate the remainder when c is divided by z. 28 Suppose -5*k = y + 6, -3*y + 6*k = 9*k - 6. Calculate the remainder when 33 is divided by y - 224/49 - 716/(-28). 8 Let z(s) = 7*s**2 + 188*s + 7241. Calculate the remainder when z(-42) is divided by 17. 14 Let m = 184 + -102. Let w = m + -55. Suppose 0 = 32*d + 571 - 2267. Calculate the remainder when d is divided by w. 26 Let y = 192 - 29. Let t(h) = 5*h**3 - 3*h**2. What is the remainder when y is divided by t(2)? 23 Calculate the remainder when 2172/(-4)*(-1)/3 is divided by (-1539)/(-7182) + (-431)/(-14). 26 Suppose 5*r - r + 5*d - 750 = 0, -4*d = -5*r + 999. Calculate the remainder when 582 is divided by r. 192 Suppose x = 2*x - 32. Let c = 8425 + -8044. Calculate the remainder when c is divided by x. 29 Suppose -19474 + 110364 + 47111 = 59*t. Calculate the remainder when t is divided by 195. 194 Suppose -4*b - 5*h + 10*h + 74 = 0, 0 = 3*b - h - 61. Calculate the remainder when 1927 is divided by b. 16 Let s = 148 - 144. Suppose -o - 2*y = -88, 3*y + 7 = s. What is the remainder when o is divided by 7? 6 Let l be 1*(1 + (-41 - 1)). Let u be 12 + (-356)/30 - 232/(-60). Let a = u - l. What is the remainder when a is divided by 8? 5 Let m(i) = 3*i**2 + 13*i - 39. Suppose 35*p - 36*p = 2*b - 8, -5*p + 48 = 2*b. Calculate the remainder when m(7) is divided by p. 9 Suppose -2*n + 5*n - 741 = 0. Let u be 4542/6 - (-12)/6. Let s = 821 - u. What is the remainder when n is divided by s? 61 Let y be (-546)/(7/7) + 6. Let q = -517 - y. Calculate the remainder when -1 + (65 - -1) + -1 is divided by q. 18 Suppose q + 532527 = 88*q. What is the remainder when q is divided by 27? 19 Let t be 27/(-18) - (-2 + 97/(-2)). Suppose 50*m = t*m + 90. What is the remainder when 6 is divided by (-4)/(-34) + m/102? 0 What is the remainder when (-34626)/(-36) + -5 + (-6)/(-36) is divided by 8? 5 Let h(i) = -i**3 + 29*i**2 - 26*i + 39. Let k be 1/((-2)/(-48)) - (-16 + 12). Calculate the remainder when h(k) is divided by 49. 46 Suppose 0 = -5*q + 30, -3*q = 74*k - 79*k + 277. Calculate the remainder when 133 is divided by k. 15 Let g be (-1 + -698)*(-9 - (-46)/6). Let t = g + -914. Calculate the remainder when 82 is divided by t. 10 Let m(g) = 3*g**3 - 6*g**2 - 3*g + 10. Let n be m(4). Let k = 10 + n. Let y = -94 - -106. Calculate the remainder when k is divided by y. 8 Let j be -1 - -36 - (40 - 42). Suppose 346 = j*w - 616. Suppose -4*g + 0*g + 404 = 0. What is the remainder when g is divided by w? 23 Let h(b) = -47 + 0*b**3 + 19*b**2 - b**3 - 3*b**2 + 34*b - 7*b**2. Calculate the remainder when h(11) is divided by 69. 16 Suppose -3*g + 18 + 33 = 0. Suppose g*q - 496 = q. What is the remainder when q is divided by 6? 1 Suppose -2484 = 11*q + 2169. Let m = -336 - q. Calculate the remainder when m is divided by 22. 21 Suppose -p - 9888 + 691 = -4*d, -4*d - 3*p + 9193 = 0. What is the remainder when d is divided by 49? 45 Let q(w) = 1288*w - 1066. What is the remainder when q(5) is divided by 64? 62 Let n(i) = 134*i + 74 - 128*i + 3. Calculate the remainder when 259 is divided by n(-8). 27 Suppose -2*b + 5*o - 506 = -5*b, 2*o = -3*b + 503. Let t = -154 + b. What is the remainder when 50 is divided by t? 11 Suppose -d = -3*o - 2982, -2*o = -2*d - 3*o + 5950. Suppose 0 = -10*k - 14*k + d. What is the remainder when k is divided by 17? 5 Let t(w) = -18*w - 81. Let h be t(-17). Let l = h + -199. What is the remainder when l is divided by 11? 4 Suppose -3*g + 3 = -27. Suppose 9*k + 102 = 12*k. Suppose 12*j = g*j + k. Calculate the remainder when j is divided by 9. 8 Let w(p) = -p**2 + 442*p + 1786. What is the remainder when 249 is divided by w(-4)? 1 Suppose 2*x = -o + 104, 209 + 216 = 4*o + 5*x. Suppose -10*t = -15*t + o. Calculate the remainder when 43 is divided by t. 21 Suppose -32*u + 50982 = -6522. Calcul
{ "pile_set_name": "DM Mathematics" }
ighest common factor of 18798195 and 390? 195 Calculate the greatest common factor of 2664 and 50088. 24 Calculate the greatest common factor of 27 and 20688363. 9 What is the highest common divisor of 35 and 338758? 7 Calculate the greatest common divisor of 76 and 756515362. 38 What is the highest common factor of 102 and 3733693? 17 What is the highest common factor of 20 and 9573830? 10 What is the greatest common divisor of 99 and 91005651? 99 What is the greatest common factor of 1704 and 1220? 4 What is the highest common divisor of 5 and 1328560235? 5 Calculate the greatest common divisor of 3520 and 361672. 8 What is the greatest common factor of 471293 and 134044? 713 Calculate the greatest common divisor of 89615024 and 16. 16 What is the greatest common factor of 5313 and 147278131? 1771 Calculate the highest common divisor of 417 and 139213365. 417 What is the highest common divisor of 2619279 and 24583? 793 What is the greatest common factor of 117576 and 1052664? 552 What is the highest common divisor of 77200755 and 1305? 435 Calculate the highest common factor of 218356236 and 21. 21 What is the greatest common divisor of 524656 and 32249? 271 What is the highest common factor of 848561 and 190134? 3521 What is the highest common divisor of 22374 and 30767? 11 Calculate the highest common divisor of 4269016 and 6087. 2029 Calculate the highest common factor of 3375 and 406267875. 1125 Calculate the highest common divisor of 4767825 and 453. 453 What is the highest common factor of 27855 and 48825? 45 What is the greatest common divisor of 2093 and 9064354? 13 What is the greatest common divisor of 37548 and 1666836? 36 What is the highest common factor of 5168 and 261756616? 2584 Calculate the highest common factor of 75217572 and 2106. 162 What is the greatest common divisor of 252 and 60226236? 252 What is the greatest common divisor of 26082 and 5074720? 322 Calculate the highest common divisor of 52305951 and 951. 951 What is the highest common factor of 952 and 22256689? 119 Calculate the greatest common divisor of 29040 and 113895. 15 What is the greatest common divisor of 53356937 and 688? 43 Calculate the greatest common factor of 2427400 and 17225. 1325 What is the greatest common divisor of 11184 and 339456? 48 Calculate the greatest common factor of 312821 and 9. 1 Calculate the highest common factor of 12320 and 81235. 385 What is the highest common factor of 175142 and 570259? 419 Calculate the greatest common divisor of 3 and 102795852. 3 What is the greatest common divisor of 193017684 and 5652? 1884 Calculate the highest common divisor of 504 and 404387676. 252 What is the highest common divisor of 6897 and 3331977? 363 What is the greatest common divisor of 11150 and 9758480? 2230 Calculate the greatest common divisor of 13 and 64840633. 13 Calculate the greatest common factor of 1326 and 2201874. 102 What is the highest common factor of 23568671 and 45577? 2681 What is the highest common divisor of 216500 and 127000? 500 What is the greatest common factor of 432273367 and 86? 43 Calculate the highest common divisor of 1728 and 103890624. 192 What is the greatest common factor of 6055 and 22672965? 35 Calculate the highest common factor of 20942520 and 5124. 732 What is the highest common divisor of 250202995 and 70? 35 What is the highest common factor of 76 and 622458449? 19 Calculate the highest common divisor of 475400 and 147800. 200 Calculate the highest common divisor of 6124066 and 26. 26 What is the greatest common factor of 4425 and 112074925? 1475 Calculate the highest common factor of 62930 and 1527575. 1015 Calculate the highest common divisor of 1991 and 714582. 11 What is the highest common divisor of 5167659 and 3021? 159 Calculate the highest common factor of 997886 and 62266. 326 What is the greatest common factor of 13002578 and 93? 31 Calculate the highest common divisor of 8055 and 541935. 45 What is the greatest common divisor of 348 and 2312568924? 348 Calculate the greatest common divisor of 25262 and 387103. 743 Calculate the highest common divisor of 25800 and 26230200. 600 What is the highest common divisor of 134960797 and 1442? 103 What is the highest common factor of 90 and 5455150? 10 What is the greatest common divisor of 7125 and 109801? 19 Calculate the greatest common factor of 1420 and 8539170. 710 What is the highest common divisor of 518 and 251898479? 259 Calculate the highest common divisor of 42 and 277179636. 6 What is the highest common factor of 2262762 and 171? 9 Calculate the highest common divisor of 661203 and 350649. 729 Calculate the highest common divisor of 596181 and 999. 111 Calculate the highest common factor of 497 and 1220561. 71 What is the greatest common factor of 21519807 and 595? 17 Calculate the highest common factor of 423 and 48538827. 423 Calculate the highest common divisor of 1085 and 2229241. 217 What is the greatest common factor of 2440674 and 126? 18 What is the highest common divisor of 33905 and 2150? 5 What is the greatest common factor of 145 and 100683389? 29 Calculate the greatest common factor of 909404715 and 15. 15 Calculate the highest common factor of 21125104 and 4472. 104 What is the highest common divisor of 40603 and 8956167? 2137 Calculate the greatest common factor of 27714 and 9636. 6 Calculate the highest common factor of 12087 and 52378343. 1343 What is the greatest common divisor of 945756 and 17357004? 6804 What is the highest common factor of 16048 and 28086006? 2006 What is the greatest common factor of 60960960 and 5760? 2880 Calculate the greatest common factor of 16980 and 12204. 12 What is the greatest common divisor of 16776 and 6578712? 72 What is the greatest common factor of 2310 and 581504? 154 Calculate the highest common divisor of 511 and 9176027. 511 What is the greatest common factor of 545700 and 1581? 51 Calculate the greatest common divisor of 23638044 and 267. 267 What is the highest common factor of 28348144 and 627? 11 What is the highest common divisor of 742098 and 30828? 42 Calculate the greatest common factor of 1405675 and 69325. 1475 Calculate the highest common divisor of 4743986 and 49725. 221 Calculate the greatest common factor of 138020860 and 5220. 580 Calculate the greatest common factor of 125 and 803156625. 125 Calculate the greatest common divisor of 5087232 and 6831. 621 What is the greatest common divisor of 53761290 and 15150? 3030 What is the highest common divisor of 41504 and 203693850? 2594 What is the greatest common factor of 22839300 and 5500? 1100 Calculate the highest common divisor of 44586 and 8658. 18 Calculate the greatest common factor of 1515341427 and 20414. 10207 Calculate the greatest common divisor of 156136512 and 1008. 336 Calculate the highest common factor of 420921 and 23391. 9 What is the greatest common factor of 182619 and 3705767? 197 What is the highest common factor of 23842020 and 255? 15 What is the greatest common divisor of 559439601 and 639? 213 Calculate the greatest common divisor of 4333438 and 660142. 1546 Calculate the greatest common factor of 464786 and 112. 14 What is the highest common factor of 20116978 and 404? 202 What is the highest common divisor of 363 and 7431? 3 Calculate the highest common factor of 14752 and 1056151. 461 What is the highest common factor of 2094 and 37941? 3 Calculate the greatest common divisor of 296166076 and 236. 236 What is the greatest common factor of 71653 and 2789932? 907 Calculate the greatest common divisor of 5 and 1002335. 5 Calculate the greatest common divisor of 87 and 104046461. 29 Calculate the highest common divisor of 7048 and 19997819. 881 What is the greatest common divisor of 42344 and 3377408? 632 Calculate the highest common factor of 41686 and 679858. 38 Calculate the greatest common factor of 862776 and 54234. 414 Calculate the greatest common factor of 2984 and 4628557. 373 Calculate the greatest common factor of 224687 and 1403. 23 Calculate the greatest common divisor of 44650827 and 117. 117 Calculate the highest common factor of 288 and 36603744. 96 What is the highest common divisor of 243325 and 2450? 25 Calculate the highest common divisor of 67338 and 2673568. 2494 Wh
{ "pile_set_name": "DM Mathematics" }
at is the h'th term of 946, 1838, 3324, 5404, 8078, 11346, 15208? 297*h**2 + h + 648 What is the m'th term of -1522, -6069, -13648, -24259? -1516*m**2 + m - 7 What is the s'th term of 7813, 15620, 23427, 31234? 7807*s + 6 What is the n'th term of 1731, 1748, 1763, 1776, 1787, 1796, 1803? -n**2 + 20*n + 1712 What is the o'th term of 41921, 41921, 41919, 41915, 41909, 41901? -o**2 + 3*o + 41919 What is the i'th term of 285767, 285764, 285761, 285758, 285755? -3*i + 285770 What is the u'th term of 782, 1223, 1664, 2105? 441*u + 341 What is the b'th term of -1371, -1395, -1419, -1443, -1467? -24*b - 1347 What is the h'th term of -139, -550, -1239, -2206, -3451, -4974, -6775? -139*h**2 + 6*h - 6 What is the q'th term of 174793, 349583, 524373? 174790*q + 3 What is the p'th term of -391, -258, -75, 158, 441? 25*p**2 + 58*p - 474 What is the d'th term of -53588, -53653, -53718, -53783, -53848, -53913? -65*d - 53523 What is the f'th term of -532999, -532998, -532997? f - 533000 What is the y'th term of -5215, -5232, -5249, -5266? -17*y - 5198 What is the f'th term of 325, 387, 455, 529, 609, 695? 3*f**2 + 53*f + 269 What is the d'th term of 132, 190, 234, 258, 256, 222? -d**3 - d**2 + 68*d + 66 What is the k'th term of 468, 1479, 2490? 1011*k - 543 What is the g'th term of -199, -488, -795, -1126, -1487? -g**3 - 3*g**2 - 273*g + 78 What is the q'th term of 267028, 534062, 801096, 1068130, 1335164, 1602198? 267034*q - 6 What is the w'th term of 5608, 5574, 5512, 5422, 5304, 5158? -14*w**2 + 8*w + 5614 What is the a'th term of 592, 820, 1062, 1324, 1612, 1932, 2290? a**3 + a**2 + 218*a + 372 What is the w'th term of -9795, -9813, -9837, -9861, -9879? w**3 - 9*w**2 + 2*w - 9789 What is the v'th term of -4691, -9396, -14101, -18806? -4705*v + 14 What is the s'th term of -527, -501, -475? 26*s - 553 What is the k'th term of 812, 425, -218, -1117, -2272? -128*k**2 - 3*k + 943 What is the r'th term of 7098, 7928, 9312, 11250, 13742, 16788, 20388? 277*r**2 - r + 6822 What is the r'th term of -236, -1824, -6120, -14474, -28236, -48756, -77384? -225*r**3 - 4*r**2 - r - 6 What is the g'th term of -158, -1120, -3602, -8324, -16006? -120*g**3 - 40*g**2 - 2*g + 4 What is the z'th term of 91204, 182404, 273604, 364804, 456004, 547204? 91200*z + 4 What is the q'th term of 1452, 2553, 3650, 4743, 5832? -2*q**2 + 1107*q + 347 What is the y'th term of -4666, -9093, -13518, -17941? y**2 - 4430*y - 237 What is the m'th term of -12, -128, -342, -660, -1088, -1632, -2298? -m**3 - 43*m**2 + 20*m + 12 What is the y'th term of 170, 156, 104, -4, -186, -460, -844? -3*y**3 - y**2 + 10*y + 164 What is the x'th term of 96039, 96040, 96041, 96042, 96043, 96044? x + 96038 What is the b'th term of -386, -317, -248, -179, -110, -41? 69*b - 455 What is the u'th term of -204, -352, -426, -408, -280, -24, 378? 3*u**3 + 19*u**2 - 226*u What is the g'th term of -2580, -20761, -70106, -166197, -324616, -560945? -2597*g**3 - 2*g + 19 What is the j'th term of 772, 786, 798, 808, 816, 822, 826? -j**2 + 17*j + 756 What is the d'th term of 489, 944, 1405, 1872? 3*d**2 + 446*d + 40 What is the n'th term of -37397, -74794, -112191, -149588? -37397*n What is the p'th term of 9199, 9197, 9195? -2*p + 9201 What is the b'th term of -387, -745, -1103, -1461, -1819? -358*b - 29 What is the k'th term of -769, -821, -873, -925, -977? -52*k - 717 What is the o'th term of 39068, 78140, 117212, 156284, 195356? 39072*o - 4 What is the d'th term of 5701, 11422, 17169, 22954, 28789, 34686, 40657? 2*d**3 + d**2 + 5704*d - 6 What is the x'th term of -10355, -10427, -10501, -10577, -10655? -x**2 - 69*x - 10285 What is the q'th term of -1854, -3871, -5888, -7905? -2017*q + 163 What is the h'th term of -39738, -79466, -119194, -158922? -39728*h - 10 What is the c'th term of 1912, 7635, 17172, 30523? 1907*c**2 + 2*c + 3 What is the y'th term of 7192, 14058, 20924, 27790, 34656? 6866*y + 326 What is the x'th term of -47416, -94844, -142282, -189736, -237212, -284716, -332254? -x**3 + x**2 - 47424*x + 8 What is the f'th term of 2080, 1934, 1788? -146*f + 2226 What is the c'th term of -1686, -3410, -5134, -6858? -1724*c + 38 What is the h'th term of 42656, 85307, 127958, 170609? 42651*h + 5 What is the a'th term of -53280, -106561, -159842? -53281*a + 1 What is the u'th term of 3103, 3106, 3107, 3106, 3103, 3098? -u**2 + 6*u + 3098 What is the n'th term of -3639, -7271, -10903, -14535? -3632*n - 7 What is the c'th term of -6741, -6725, -6701, -6669? 4*c**2 + 4*c - 6749 What is the d'th term of -11487, -22983, -34479, -45975? -11496*d + 9 What is the k'th term of -5665, -22580, -50769, -90232, -140969, -202980, -276265? -5637*k**2 - 4*k - 24 What is the h'th term of 2045196, 2045200, 2045206, 2045214, 2045224? h**2 + h + 2045194 What is the s'th term of -363, -761, -1425, -2355, -3551? -133*s**2 + s - 231 What is the r'th term of -20519, -82081, -184685, -328331? -20521*r**2 + r + 1 What is the w'th term of 970, 2078, 3190, 4306, 5426? 2*w**2 + 1102*w - 134 What is the c'th term of 9482, 18964, 28442, 37916, 47386? -2*c**2 + 9488*c - 4 What is the j'th term of -189, -135, -43, 87, 255, 461, 705? 19*j**2 - 3*j - 205 What is the x'th term of 4155, 4161, 4171, 4185, 4203, 4225? 2*x**2 + 4153 What is the b'th term of 27822, 55639, 83460, 111285, 139114? 2*b**2 + 27811*b + 9 What is the t'th term of -1350, -2695, -4038, -5379, -6718? t**2 - 1348*t - 3 What is the b'th term of 318, 434, 578, 750, 950, 1178, 1434? 14*b**2 + 74*b + 230 What is the g'th term of -69, -47, -25, -3, 19, 41? 22*g - 91 What is the x'th term of 507836, 507834, 507832, 507830? -2*x + 507838 What is the w'th term of 230, 24, -182? -206*w + 436 What is the r'th term of -335, -701, -1115, -1595, -2159? -3*r**3 - 6*r**2 - 327*r + 1 What is the r'th term of -187095, -187109, -187133, -187167, -187211, -187265? -5*r**2 + r - 187091 What is the d'th term of -477, -460, -437, -414, -397, -392, -405? -d**3 + 9*d**2 - 3*d - 482 What is the u'th term of 687, 2109, 4479, 7797, 12063, 17277, 23439? 474*u**2 + 213 What is the a'th term of 16096, 16025, 15954, 15883, 15812? -71*a + 16167 What is the i'th term of -1411202, -2822404, -4233606, -5644808, -7056010? -1411202*i What is the q'th term of -27581, -27583, -27585, -27587, -27589, -27591? -2*q - 27579 What is the o'th term of 1177, 1160, 1125, 1066, 977, 852? -o**3 - 3*o**2 - o + 1182 What is the i'th term of -4052, -16635, -37756, -67421, -105636? -i**3 - 4263*i**2 + 213*i - 1 What is the y'th term of 128, 150, 40, -208, -600, -1142, -1840, -2700? -y**3 - 60*y**2 + 209*y - 20 What is the d'th term of -405689, -405697, -405707, -405719, -405733? -d**2 - 5*d - 405683 What is the w'th term of 13685, 13687, 13689, 13691? 2*w + 13683 What is the f'th term of 309, 620, 939, 1266, 1601, 1944? 4*f**2 + 299*f + 6 What is the g'th term of -119, -123, -129, -131, -123, -99, -53, 21? g**3 - 7*g**2 + 10*g - 123 What is the d'th term of -3218790, -3218792, -3218794, -3218796? -2*d - 3218788 What is the x'th term of -801286, -801287, -801288, -801289? -x - 801285 What is the z'th term of -7227, -28829, -64827, -115221, -180011? -7198*z**2 - 8*z - 21 What is the f'th term of -311, -293, -255, -197, -119, -21? 10*f**2 - 12*f - 309 What is the p'th term of -864, -928, -996, -1068, -1144, -1224, -1308? -2*p**2 - 58*p - 804 What is the s'th term of 19501, 19489, 19477, 19465? -12*s + 19513 What is the i'th term of -572, -1087, -1540, -1931? 31*i**2 - 608*i + 5 What is the i'th term of -1635, -3281, -4937, -6603, -8279, -9965, -11661? -5*i**2 - 1631*i + 1 What is the q'th term of -118, -241, -526, -1057, -1918, -3193, -4966? -14*q**3 + 3*q**2 - 34*q - 73 What is the s'th term of 16321, 16231, 16127, 16003, 15853? -s**3 - s**2 - 80*s + 16403 What is the n'th term of 868, 795, 722, 649, 576, 503? -73*n + 941 What is the t'th term of -2010, -2004, -1994, -1980, -1962, -1940? 2*t**2 - 2012 What is the u'th term of 6277, 9681, 13083, 16483, 19881, 23277, 26671? -u**2 + 3407*u + 2871 What is the o'th term of -2322940, -2322943, -2322948, -2322955, -2322964? -o**2 - 2322939 What is the r'th term of -178921, -715662, -1610231, -2862628? -178914*r**2 + r - 8 What is the y'th term of -25, -108, -233, -406, -633, -920, -1273, -1698? -y**3
{ "pile_set_name": "DM Mathematics" }
Let h = r + -1.4. What is the second biggest value in 0, x, h? x Let g = 57 - 57.5. Let c = 0.66 + 4.74. Let w = 0.4 - c. What is the second biggest value in g, 0.5, w? g Let g = 0.039 + 0.465. Let p = g - 0.004. Let z = 0.3 + -1.3. Which is the second smallest value? (a) z (b) p (c) 1 b Let n = -1.1 + 1. Suppose 0 = 2*q + 5*i + 25, 2 = 5*q - 2*i - 8. Suppose 5*y + 4*z - 13 = q, -5*z - 10 = -2*y + 3*y. What is the smallest value in y, 3/4, n? n Let m be 2/(((-1)/12)/(2/(-34))). Let k = m - 199/153. What is the fourth smallest value in -3/5, -2, -3, k? k Let m(s) = s**3 + 5*s**2 + 4*s + 2. Let p be m(-2). Suppose 2*v - 5*v - 15 = -2*y, 0 = 3*v + 5*y - p. Which is the biggest value? (a) 22/7 (b) v (c) -0.5 a Let r = -33.3 + 34.2. What is the second biggest value in 2/7, r, -3? 2/7 Suppose 13*u = 4*u + 45. Which is the fourth smallest value? (a) u (b) -0.3 (c) 0 (d) 81 d Let t = -0.197 - -0.697. What is the smallest value in 5, t, -2, -10/11? -2 Let w = -79 - -134. Let l = w + -57. What is the third smallest value in 4/7, 0.4, l, 0? 0.4 Suppose 3152 = -v - 3*v. Let q be 3/(-6) + (-390)/v. Let l = q + 206/1773. Which is the biggest value? (a) l (b) -5 (c) -0.1 a Let m = -0.1 - -1.1. Let a = 0.999 + -0.889. What is the second smallest value in m, 2, a? m Let i = 1511 - 1510.9. What is the third smallest value in -1, i, -16/17? i Let v = 13.18 - 16.18. What is the fourth biggest value in 0.4, v, -6/7, 1/4? v Let g(i) = -i - 2. Let x = -34 - -33. Let r be g(x). Which is the second biggest value? (a) r (b) -3 (c) 2 a Let u be (-4 - 0)*9/(-21 - -3). What is the third smallest value in -12/11, u, -0.5? u Let i(b) = -3*b**3 - 105*b**2 + 112*b + 148. Let r be i(-36). Let v = 4.75 - -1.55. Let n = v + -6. What is the second biggest value in 2, n, r? 2 Let u = 750 + -754. Let f = 0.2 - -2.8. What is the smallest value in 4, u, f? u Let l = -2936/7365 + -2/1473. Let g(t) = -3*t + 3*t + 1 - t. Let v be g(1). What is the smallest value in v, l, -4? -4 Let u = -0.5 + 1. Let d = -0.396 + -0.004. Let c = d + 0.51. What is the third biggest value in -0.4, u, c? -0.4 Let u = -32 + 37. Suppose 0*v - u = -5*r + 3*v, r + 4*v = 24. Let k be (8/4 - 1)/r. Which is the second biggest value? (a) 4 (b) 2 (c) k b Let m be (-2)/1*6/4. Let g be 21 + -17 - (-10)/m. Which is the second biggest value? (a) -0.06 (b) -1 (c) g a Let q be (2 - 208/(-5))/(4/10). Let g = q - 108. What is the second smallest value in 3/7, 0.5, g, -3? 3/7 Let d = 246 - 246.4. Which is the second smallest value? (a) d (b) -0.04 (c) -7 a Let r = -35.031 + 0.031. Let j = r - -30.9. Let n = j + 4. Which is the second smallest value? (a) 0.3 (b) n (c) -1/9 b Let d = -54542/7 - -7651. Let y = d + 141. Let g = -284 - -285. Which is the third smallest value? (a) -0.1 (b) y (c) g c Let t = -0.074 + -0.426. Let k = -1.5 - t. Which is the smallest value? (a) -6 (b) -3 (c) k (d) 2 a Let g = 32.3 + -31. Let s = -0.3 + g. Let o = 0.016 - -0.484. Which is the third biggest value? (a) s (b) -5 (c) o b Let p be ((-12)/18)/((-24)/(-9)). Suppose y - 6 = -3*v - 14, -v = -4. Let f be 2 - (3 + 28/y). What is the second smallest value in p, -2/19, f? -2/19 Let p = -50 + 55. Let j be (-2 - (-4)/(-1))*1/(-9). Let q(o) = o**3 - 8*o**2 + o - 8. Let m be q(8). What is the smallest value in m, j, p? m Let v = -1 - -11/9. What is the second biggest value in -2/39, -2/23, v? -2/39 Let s = 0.14 - 4.14. Let j = 0.9 + 0.1. Let o = 0.0153 - 0.0153. Which is the second smallest value? (a) s (b) j (c) o c Let q = -0.49 - 0.01. Let z = 2065.017 - 2064. Let r = z - 0.017. Which is the third biggest value? (a) 0.3 (b) q (c) r b Let c = 332 - 340. What is the second smallest value in c, -3, 5, 1/4? -3 Let n = 225 + -2931/13. What is the third smallest value in -7, -1, n? n Let x = -112/5 - -22. Let u = 2.5 + -1.9. Let l = u - -3.4. Which is the biggest value? (a) 2 (b) l (c) x b Let i be (3/2)/(30/40). Let x be (-98)/(-126)*i/(-7). Let d = 2.8 - 3. What is the smallest value in d, -2, x? -2 Let q = -245 - -1489/6. Which is the smallest value? (a) 5 (b) q (c) -0.2 c Let t = 49 - 39. Let k be 8*8/160 - (-6)/t. Let i be 2/(-5) + (-8)/30. Which is the third smallest value? (a) -0.4 (b) k (c) i b Suppose -26 = 17*h - 60. What is the smallest value in h, 0.4, 3/7, 0? 0 Let r = -25.9 - -27.9. What is the fourth smallest value in -0.2, -11, r, 0.5? r Let b = 4 - 8. Let h(d) = -3*d**2 + 11*d + 19. Let c be h(5). What is the third smallest value in -5, b, c? c Let t be ((-21)/602)/((-1)/(-2)). Let h = t + 131/645. Suppose -2*x + 25 = -7*x. Which is the third smallest value? (a) 0.4 (b) x (c) h a Let s = 13 + -16. Let z = 26 - 10. Suppose 5*y + 5 = 5*l, -4*y = -0*y + l - z. What is the smallest value in y, s, 0? s Suppose 5*r - 2*l = -100, -2*r + 4*r + 40 = -4*l. Let s = r + 21. Let v be 1/4 - (-14)/8. Which is the second biggest value? (a) s (b) -2/3 (c) v a Let f = 17/5 + -4. Suppose -6 = -3*m + 6. Let v(b) = b**2 - 5*b - 1. Let n be v(m). What is the third smallest value in 1, n, f? 1 Suppose 28*l + 1053 - 185 = 0. Which is the third smallest value? (a) l (b) 4 (c) -0.4 b Let p = -20.3 + 20. Let z = p + 2.3. Let k = 10 - 11. What is the second smallest value in k, z, -1/8? -1/8 Let w = -355.94 - -356. Let j be 36/(-21) - (-4 + 2). Which is the smallest value? (a) w (b) j (c) 3 (d) -2 d Let l be (-35)/280 - 1383/(-56). Which is the second smallest value? (a) -1/10 (b) -5/2 (c) l (d) -0.3 d Let q = -19 + 21. Let y = q - -1. Which is the biggest value? (a) 4/5 (b) y (c) -1 b Let b = 63.68 - 64. Let m = b - -4.32. What is the second biggest value in m, 3, -6, -1/2? 3 Let o = -10.7 - -10.8. Let f = -5 - 0. Which is the third smallest value? (a) 1/3 (b) f (c) o a Let r be (-3)/((-1)/(1 - 7)). Let d = 528 - 527. Which is the third biggest value? (a) -3 (b) d (c) r c Let m = 2 + -7. Let l = -10 - m. Let r = 256 - 256.1. What is the second smallest value in -16, r, l? l Let k be (-1)/(39/9 + -4). What is the third smallest value in 1/3, -2/7, k? 1/3 Let z(i) = -3*i + 6. Let r be z(3). Suppose 13 + 1 = -v. Let w = 9 + v. What is the third biggest value in w, -0.1, r? w Let i(r) = -7*r**2 + 3*r - 3. Let o be i(-5). Which is the second biggest value? (a) o (b) -3 (c) -2/7 b Let h = -0.85 + 1.05. What is the biggest value in 2/7, h, -4, -11? 2/7 Suppose -24*v - 21 = 75. What is the third smallest value in -0.1, 0.4, v? 0.4 Suppose -6*u = 18 - 84. Suppose u = 6*f - 19. Suppose -o - 11 = -5*t - 28, -f*t - 10 = 0. Which is the third smallest value? (a) 4 (b) 0.4 (c) o c Let p = 0.03 + 0. Let r be (-148)/(-18) + 14/(-63). Suppose r*m + 9 = -m. What is the third biggest value in -1/2, p, m? m Let h = -0.528 - -0.028. Let i = 3 + -7. Let f be (-7 - -1)*i/156. What is the biggest value in f, 0, h? f Let n = 31.37 + 0.13. Let r = n - 31. What is the third smallest value in -0.5, r, -0.01? r Let u be (4 - (-90)/(-21)) + 32/161. What is the third biggest value in -2, 0.03, u? -2 Let g = -5 + 7. Let l = 3 - g. Let o = -4.9 - -8.9. What is the third biggest value in o, l, 3? l Let t = -0.1 - -0.3. Let q = -22 + 12. Let z be 1 - (-1)/(q/12). Which is the second biggest value? (a) t (b) z (c) -2 b Suppose 2*u = -2*v, 38*v - 35*v = -u - 8. What is the fourth biggest value in 0.0479, v, 1, 0.4? v Suppose 0 = 6*x - 3*x - 5*x. What is the smallest value in x, 10, 1? x Let h be -5 - ((0 - 28/6) + -1). What is the fourth biggest value in h, -2/5, 0, 0.04? -2/5 Let x = -30.9 - 3.3. Let h = -57 - x. Let l = 23 + h. What is the biggest value in l, -5, -4? l Let p = 0 + -0.4. Let w = p - 0.1. Let u = -0.02 + 0.52. What is the second biggest value in u, 0.1, w? 0.1 Let r(s) = -s**2 - 8*s - 4. Let a be r(-7). Suppose -2*o - a*o = -40. Suppose -7*j + 5*j = -o. What is the second biggest value in j, 2/5, -3/2? 2/5 Let w = 0.199 + 0.001. What is the second biggest value in 2/17, w, 3? w Let y(b) = b**2 + b - 12. Let k be y(5). Let a be 2/8*(-24)/k. Let w = -10 - -11. What is the second biggest value in 0.5, w, a? 0.5 Let f = 411 - 410.8. Which is the third smallest value? (a) 6 (b) -21 (c) f a Let g = -337 - -336.9. Let i = -82/33 - -8/3. What is the third smallest value in g, -0.5, i? i Let y = -54
{ "pile_set_name": "DM Mathematics" }
d derivative of c(b) wrt b? -504*b Let o(p) = -p + 38. Let b be o(0). Let t be b/14 + 8/28. Find the second derivative of 5*f**3 - 5*f**t - f**4 + f wrt f. -12*f**2 Let h(g) = g - 5. Let q be h(3). Let w = 0 - q. What is the third derivative of 2 - k**w - 2 + 3*k**2 + k**3 wrt k? 6 Suppose 0*j = -2*j + 12. Find the second derivative of -5*f**4 - 6*f**4 + 3*f**4 + j*f wrt f. -96*f**2 Differentiate -16 - 5*k + 9*k + 10 with respect to k. 4 What is the second derivative of -8*c**4 - 258 + 8*c + 258 wrt c? -96*c**2 Let q be ((-2)/6)/((-2)/60). Differentiate -q*l + 11*l + 4 - 2 wrt l. 1 Let r = -5 - -8. Find the second derivative of -k**3 - 3*k**3 + k**r + 0*k**3 - 3*k wrt k. -18*k Let g(b) = -9*b**3 - 6*b**2 - 2*b. Let c(o) = 9*o**3 + 5*o**2 + 3*o. Let s(m) = -2*c(m) - 3*g(m). What is the third derivative of s(x) wrt x? 54 Suppose 21 = -4*c - 5*j, -5*j - 15 = 3*c + 7. Suppose 5*r = 3 + 7. What is the first derivative of -l + 0*l + c + r*l wrt l? 1 Let q(o) be the second derivative of 0*o**3 + 0*o**2 - 1/5*o**6 + 0*o**5 - 5/6*o**4 + 0 + o. Find the third derivative of q(b) wrt b. -144*b Let p(w) be the third derivative of -w**6/40 + w**3/3 + w**2. Differentiate p(f) wrt f. -9*f**2 Let o be (0*2/6)/1. Let j be 1 + o + 1*5. What is the third derivative of -a**2 + 3*a**6 + 2*a**j - 3*a**6 wrt a? 240*a**3 What is the second derivative of 1 + 10*n**5 + 22*n - 1 - 33*n wrt n? 200*n**3 Suppose 0 = -4*s + 7 + 13. Suppose -3*g + 2*c + 4 + 0 = 0, 0 = -2*g - s*c - 10. What is the first derivative of -2*d**3 + 5*d - 2 + g*d - 5*d wrt d? -6*d**2 Let w(d) = 8*d**5 + 4*d**4 + 3*d**2 - 4*d. Let a(t) = 7*t**5 + 3*t**4 + 2*t**2 - 3*t. Let u(h) = -4*a(h) + 3*w(h). What is the third derivative of u(b) wrt b? -240*b**2 Let q(n) be the third derivative of n**9/1512 - 3*n**5/40 - n**4/8 + 3*n**2. Let y(t) be the second derivative of q(t). Differentiate y(k) wrt k. 40*k**3 Let b(h) be the second derivative of h**5/10 + 4*h. Let l(v) = v**3 + 1. Let f(r) = b(r) - 4*l(r). Differentiate f(g) wrt g. -6*g**2 Let o be 0 + 0/(-3) - -2. Differentiate o + 0 + 2*d**3 + 1 with respect to d. 6*d**2 Let d(c) = -9*c**3 - 79*c**2 + 5*c. Let u(x) = 4*x**3 + 39*x**2 - 3*x. Let y(k) = -3*d(k) - 5*u(k). What is the third derivative of y(m) wrt m? 42 Let u(h) be the first derivative of -2*h**5/5 + 2*h**3/3 - 3. What is the third derivative of u(p) wrt p? -48*p Suppose 3*o = -0*o - 3*k + 15, -5*k = 0. What is the third derivative of 6*b**5 - 4*b**o - 3*b**2 - b**5 wrt b? 60*b**2 Suppose -4 = -l, 16 = 5*z + 2*l - 2. Find the second derivative of z*x + 4*x - x**5 - 5*x wrt x. -20*x**3 Let s = 1 - -2. Suppose 2*k - 3 = s*i, -5*i - 1 = -k + 4. What is the second derivative of 48*p - 45*p + k*p**2 + 0*p**2 + 3*p**2 wrt p? 6 Let q(w) be the first derivative of -4/5*w**5 + 0*w + w**2 + 0*w**4 - 4 + 0*w**3. What is the second derivative of q(a) wrt a? -48*a**2 Let m(l) = -4*l**3 - l**2 - 50*l. Let w(a) = -4*a**3 - a**2 - 50*a. Let v(n) = -3*m(n) + 4*w(n). Find the second derivative of v(o) wrt o. -24*o - 2 Let w = 0 + 2. Suppose -5*p + 5 = -d, -d - 3*d + 24 = w*p. What is the derivative of b**2 + 3 - 6*b**2 + 0 + 2*b**p wrt b? -6*b Let q = -18 - -20. What is the second derivative of -2*r + 3*r + 0*r**3 + q*r**3 wrt r? 12*r Let l(u) be the first derivative of 5 + u**3 + 0*u + 0*u**5 + 1/6*u**6 + 0*u**4 + 0*u**2. Find the third derivative of l(z) wrt z. 60*z**2 Let o(v) be the second derivative of -9*v**5/20 - v**2/2 + 2*v. What is the first derivative of o(g) wrt g? -27*g**2 Let o(v) = v**3 + 3 - 3 + 6*v**2 - 5 + 3 + 4*v. Let b be o(-5). Find the third derivative of -4*y**5 - 2*y**2 + y**5 - 2*y**3 + 2*y**b wrt y. -180*y**2 Let d(z) be the third derivative of z**6/30 + z**5/15 - 2*z**2. What is the third derivative of d(h) wrt h? 24 Let k = 8 - 4. Suppose 3*y - y - 4 = 0. Find the third derivative of 3*r**2 - r**6 + k*r**6 - 6*r**y wrt r. 360*r**3 Suppose 0 = u - 6*u + 35. Let j = -5 + u. What is the third derivative of -2*a**j - 7*a + a**3 + 7*a wrt a? 6 What is the third derivative of -16*p**2 + 32*p**2 - 13*p**2 + 2*p**5 - 16*p**5 wrt p? -840*p**2 Suppose 0 = 4*i + 1 - 9. Let o(k) = -k**2 - 6*k - 1. Let x be o(-5). Find the second derivative of i*s - 3*s**2 + 3*s**2 - s**x wrt s. -12*s**2 Find the third derivative of w**2 - 3*w**2 + 5*w**2 - 4*w**6 wrt w. -480*w**3 Suppose 2*t - 14 + 0 = 0. What is the third derivative of -2*y**3 + t*y**2 + 0*y**3 + 0*y**2 - 3*y**3 wrt y? -30 Let a(b) = b - 1. Let w = -2 + 7. Let y be a(w). What is the third derivative of 0*d**2 - d**2 + d**4 + 0*d**y wrt d? 24*d Let a(w) = w. Let h(m) = -3*m**3 + 3*m**3 + 10*m**3 - 9*m - 3*m**3. Let k(y) = -5*a(y) - h(y). What is the second derivative of k(f) wrt f? -42*f Let f(u) be the second derivative of -17*u**8/28 - 49*u**4/12 + 18*u. What is the third derivative of f(o) wrt o? -4080*o**3 Let d(o) be the third derivative of o**7/420 + o**6/180 - o**3/3 + 3*o**2. Let n(u) be the first derivative of d(u). Find the third derivative of n(s) wrt s. 12 Let a(t) be the second derivative of 13*t**5/20 + 7*t**3/2 - t. What is the second derivative of a(m) wrt m? 78*m Let w(y) be the second derivative of 20*y**7/21 + 23*y**4/6 + 17*y. Find the third derivative of w(r) wrt r. 2400*r**2 Let h = 3 + -4. Let j be 14*(-2)/(-4) + h. Find the third derivative of -u**2 + 2*u**2 + 5*u**6 - 4*u**j wrt u. 120*u**3 Let b = 6 - 1. Find the second derivative of -3 + 4 - 1 - 5*r + b*r**2 wrt r. 10 Let p(a) = 2*a. Let k be p(1). Let l = -13 - -15. What is the second derivative of y**2 + 2 - l*y - k wrt y? 2 Let a(x) = 5*x**4 + 11*x**3 - 6*x**2 + 74*x - 6. Let g(j) = -j**4 + j**2 - j + 1. Let f(l) = -a(l) - 6*g(l). Find the second derivative of f(p) wrt p. 12*p**2 - 66*p What is the third derivative of 35*l**3 + 15*l**3 + 13*l**3 + 3*l - 12*l**2 + 0*l wrt l? 378 Let p(d) = 39*d**6 - 4*d**3 + 18*d**2 - 4*d. Let k(l) = -l**3 + l**2 - l. Let z(n) = -4*k(n) + p(n). Find the third derivative of z(j) wrt j. 4680*j**3 Suppose c + c - t - 15 = 0, -t = -5*c + 33. Let y be 3/c*(1 + 5). What is the first derivative of -y*u + 1 + 0 - 3 wrt u? -3 Let m(f) = -17*f**4 + 6*f**3 - 6*f**2 - 7*f + 6. Let y(o) = -o**3 + o**2 - 1. Let c(t) = m(t) + 6*y(t). What is the second derivative of c(a) wrt a? -204*a**2 Suppose 0 = 4*z - 4*r - 8, -5*r + 5 = z + 3. Suppose 5*o - 17 = -2*v, -v + 3*o - z*o = 2. What is the second derivative of v - c - 2*c**4 - 1 wrt c? -24*c**2 Let c be (-9)/(-1) - (-2)/2. Suppose -5*z + 4 + 27 = 4*t, 0 = -2*z + 4*t - c. What is the third derivative of 5*f**2 - 2*f**2 - z*f**6 + 4*f**6 wrt f? 120*f**3 Let y = -4 + 6. Find the third derivative of -h**5 - 3*h**5 + 2*h**5 + 6*h**y - 3*h**2 wrt h. -120*h**2 Suppose 4*z - 4*a = 14 - 2, z + 3*a = 11. Find the third derivative of -6*b**5 + 4*b**z - 6*b**2 + b**2 wrt b. -120*b**2 Suppose 4*p = 6 + 98. Find the second derivative of -10*w**5 + 10*w - 12*w**5 + p*w**5 wrt w. 80*w**3 Let j be (-1)/((-3 - 1)/16). What is the second derivative of -7*o**4 - 12*o**j - 5*o + 8*o**4 wrt o? -132*o**2 Suppose -15 = 5*s - 40. What is the first derivative of -1 + s*j - 1 - 11*j wrt j? -6 Let r = 1 + 3. Suppose q = 3*q - r. What is the third derivative of -2*f**2 + f**2 + 0*f**q + 2*f**3 wrt f? 12 What is the second derivative of -84*k**3 + 25*k**3 + 37*k**3 + 16*k wrt k? -132*k Let r(a) be the first derivative of 10*a**7/7 - 2*a**3/3 + 5. What is the third derivative of r(q) wrt q? 1200*q**3 Suppose -4*d = 3*a + 11, -3*a - 24 = 2*a + d. Let b = a - -10. What is the first derivative of -b*h**3 + 2*h**3 + 2*h**3 - 2 wrt h? -3*h**2 What is the second derivative of 2 + 10*y - 2 - 2*y - 12*y**5 wrt y? -240*y**3 Suppose 3*x = 4*i - 1, -2*i = -0*x - 2*x. Differentiate q + x - q - q with respect to q. -1 Let k(z) be the first derivative of z**2 + z**3 + 5 - z**3 - 2 - z**4. Find the second derivative of k(r) wrt r. -24*r What is the second derivative of 12*k**3 + 13*k**3 + k - 38*k**3 + 14*k**3 wrt k? 6*k Let j be 12 - (0/1 - 0). Suppose -4*w + 22 = p, -4*p + 5*p + 2*w = j. What is the third derivative of -6*n**3 - p*n**5 + 6*n**3 - n**2 wrt n? -120*n**2 Find the second derivative of 18*z - 73*z**2 + 2 + 45*z**2 + 65*z**2 wrt z. 74 Let u(g) = g**4 - 6*g**2. Let r(y) = y**4 + y**2. Let x(f) = -5*r(f) - u(f). Find the third der
{ "pile_set_name": "DM Mathematics" }
r - 3*u - 14 + 6, 5*u + 10 = -5*r. Solve 0 = -2*q + 3*x + 13, -5*q - 3*x - r = -2 for q. 2 Suppose 147 = 6*u - 195. Let k be u/12 - 3/4. Solve -2*g = -3*g + k*i + 21, 5*g + 4*i - 9 = 0 for g. 5 Let x(w) = w**2 - 7*w + 2. Let s be x(7). Solve -2*m + 0 = -s, 3*q + 4*m + 5 = 0 for q. -3 Let a be ((-2)/(-9))/((-2)/(-18)). Solve 5*q - a*q = -5*r + 6, -5*r + 9 = 2*q for q. -3 Suppose -2*d = 7*o - 3*o - 30, -2*d + 3*o = -2. Let c(b) = b**2 - 7*b + 5. Let v be c(d). Solve -4*s + s + 3 = -4*u, 4*s - v = 5*u for s. 5 Suppose -n + 64 = 3*n. Suppose -g = -4*s + g + 18, -3*s = g - n. Solve -2*y + j + s = 0, 0 = y + 3*j - 8*j + 11 for y. 4 Let k be (1 + (-13)/3)/(2/(-9)). Solve -2*p + 5*i + k = 0, 0 = -3*p - 2*p - 2*i - 35 for p. -5 Let q(l) = 2*l**3 + 2*l**2 - 1. Let m be q(-1). Let w = m - -5. Solve 0 = -4*a + 8, -o = -3*o - 4*a + w for o. -2 Suppose 0 = -s + 5*l + 27, 4*s + 2*l = 6*l + 60. Suppose j + 1 = s. Solve 0*w - 3*w + 17 = 2*n, -w - 2*n = -j for w. 3 Let n be (-168)/(-77) + 8/(-44). Solve n*j + b - 3 = 0, -j = 2*j - 5*b - 37 for j. 4 Let l be ((-1)/4)/(1/(-16)). Solve -4*q - l*y + 4 = 0, 3*y + 2*y = q - 13 for q. 3 Suppose -124 = -6*g - 40. Solve 0*c + c = -3*s + 8, 2*s - g = -5*c for c. 2 Let j(r) = r**3 - r**2 + 6. Let x be j(3). Solve -29 = -5*m + 2*u - 2, 4*m = 4*u + x for m. 5 Let g = -6 - -8. Let k be (-7)/(2/(g - 4)). Suppose 2*n - 38 - 8 = 0. Solve 2*v = 5*u + n, -v - 2*u + k = -3*u for v. 4 Let t(l) = l**2 - l. Let q be t(-3). Suppose 5*g + 3*j = 7, 0*j - 5 = 5*j. Solve -g*f + 6*f = 4*w - 16, -3*f = 3*w - q for w. 4 Let y(h) = -h**2 + 5*h - 4. Let x be y(3). Solve 0*r + 3*g + 11 = x*r, 3 = r + g for r. 4 Let g = 6 - 4. Suppose -c = -p - 16, -7*c - 10 = -g*c. Let m be (-4)/p + 258/54. Solve 9 = -3*v + m*v + z, 0 = 4*v - 5*z - 11 for v. 4 Let x be -6*((-4)/(-6))/(-2). Suppose 0 = 3*y + 2*m + m, 0 = -x*y - 5*m - 12. Suppose -6 = 2*w - y*w. Solve z + 23 = w*z - 5*a, -3*a = -4*z + 11 for z. -1 Let c = 7 - 3. Solve -k + 2*k - 6 = -5*r, 0 = 4*r + c*k - 8 for r. 1 Let f be (6/(-9))/((-1)/3). Suppose -9 - 11 = -f*d. Solve -v = 4*v + d, -14 = 4*z + 3*v for z. -2 Suppose 0 = 7*d - 3*d + 16. Let p be (-5)/(10/d + 2). Let y be (4/p)/((-1)/(-5)). Solve i = -5*l - 2*i - 21, -3*l - y*i = 13 for l. -3 Suppose -49 = -3*p + 4*l, -3*p = 4*l + l - 40. Solve -z - 5*v - p = 0, z + 13 = -2*z + v for z. -5 Let t(d) = 2*d + 2. Let k be t(1). Solve 6 = 3*f, v - k*f + 2 = -8 for v. -2 Let m(s) = s**3 + 15. Let g be m(0). Suppose -1 = -4*j + g. Let p be 1*(-2 + 1)*-5. Solve -3*z - 5*d + 1 - 17 = 0, p*d = j*z - 2 for z. -2 Let l be ((-8)/12)/(1/(-3)). Let o be 0 + 0 - -2*l. Solve 5*q + 3*w - 6 = -w, -18 = q - o*w for q. -2 Let v(r) = -r**3 + 7*r - 3 + 5 + 1 + 6*r**2. Let u be v(7). Let o = -23 + 27. Solve 5*w - 25 = -u*j, -20 = w - 5*w - o*j for w. 5 Let u = 0 + 5. Let w = -82 - -87. Solve -u*k + 5 = 0, -3*g + w*k - 2 = -4*g for g. -3 Suppose -v - 18 = -4*d, 5*v - 4*d + 18 = -2*d. Let a be (12/8)/((-1)/v). Solve 4*y - 2*h = 5*y - 13, -14 = -a*y - h for y. 3 Let s(m) = -m**3 + 9*m**2 - 3*m + 31. Let z be s(9). Let k = -7 + 12. Solve -v + 1 = -w, z*w + 0*w = k*v - 8 for v. 4 Suppose -5*o + 3*o - 3*j - 2 = 0, -5*o + 29 = -j. Solve w + 6*i - 3*i - o = 0, -2*w = -4*i + 10 for w. -1 Suppose 3*j = -j. Suppose 0*q - 3*q - 2*l + 14 = 0, 3*q - 4*l - 8 = 0. Solve t = -i - q*t + 7, j = 4*i + t - 9 for i. 2 Let q be 8/12 - (-1)/3. Let u = 5 - 5. Suppose o - q - 2 = u. Solve -5*m = -o*w + 22, -5*w - 4*m = -0*m - 12 for w. 4 Let p be 2/(-11) - 140/(-44). Let f(v) = -3*v + 0*v + p - 2. Let o be f(-4). Solve 12 = -5*y - 4*d, -2*y - o = -4*d + 3 for y. -4 Let a(d) = 9*d + 4. Let q be a(8). Let n be q/18 + 6/(-27). Let b = n - 0. Solve -b*j = 3*w + 3 + 8, 3*j + 4*w + 10 = 0 for j. -2 Suppose 2*x = a - 15, -4*a + 3*x = 22 - 62. Suppose -a + 2 = -w. Solve 0 = h + 4*l - w, 0*l = -2*h + 2*l for h. 1 Suppose 0 = 4*j, 2*i + 3*i = 3*j + 15. Suppose 2 - 17 = -i*n. Solve 2 - 3 = r, 0 = -5*y + n*r + 15 for y. 2 Suppose -5*u = 4*r + 25, -3*u - 5 = 4*r + 18. Let j(c) = 3*c**2 - 2*c - 1. Let q be j(u). Solve -2*v - 11 + 32 = -3*g, -13 = q*v + 5*g for v. 3 Let l(x) be the first derivative of -3*x**4/4 - 2*x**3/3 - x**2 - x - 2. Let m be l(-1). Solve 2 = 4*g - 3*b, -4*b + 2 + 10 = m*g for g. 2 Let s be ((-4)/10)/(1/(-10)). Suppose -s*z + 6*z = 12. Suppose 4*r = 8, -2*o + 5*r = -o - 17. Solve -2*c = c - 3*f - o, 4*f = -2*c - z for c. 5 Suppose 4 = r + 2. Suppose -5*x = r*l + 8, 2*l = -0*x - x. Let v be 12/5 - (-6)/(-15). Solve -z = -2*z + l, -3*z = v*i - 1 for i. -1 Suppose 0 = 3*g - 2*g + 9. Let s = 9 + g. Solve -5*x + t - 22 = 0, -2*x = -s*x + t + 13 for x. -5 Let o be 1810/6 - (-4)/(-6). Suppose -48 = -4*d - l + o, -15 = 5*l. Suppose g = -4*y - 2*g + d, 5*g = 2*y - 70. Solve 5*r = -5*s + y, -2*s = -3*s + 3 for r. 2 Let u = 2 + -2. Suppose -2*f - 3*f - 10 = 0. Let s be 45/25 + f/(-10). Solve s*m + 3*t + 7 = 0, 4*m + u*t = 5*t + 41 for m. 4 Let w = -4 + 6. Let s = w + -7. Let p = s - -7. Solve -2*k + 7*k + p*t - 12 = 0, -3*k = -4*t - 2 for k. 2 Let q = -13 + 13. Solve 3*r - 6*i + 3*i = 0, -3*i - 9 = q for r. -3 Let n(t) = t**2 + t - 3. Let k be n(-4). Solve r = 2*s + k, -2*s - 2*r - 3*r = 15 for s. -5 Let g(d) = d**2 + 3*d - 3. Let l be g(2). Suppose -33 = 5*k + 2*s - 0, -4*k = 3*s + 25. Let w = k + 11. Solve 0 = w*h - 20, -c = -l*h + 3*h + 22 for c. -2 Let g(m) = m**2 + 5*m + 5. Let a be g(-5). Let b = 13 - 7. Suppose b = 3*r - 3. Solve 0 = -4*s - 3*y + 1, a*s + y + 1 = r*s for s. -2 Let s(y) = y - 5 - 2 + y. Let h = 1 + 4. Let g be s(h). Solve -g*m = -5*i + 2, -i - m - 2 = -4 for i. 1 Let v be ((-9)/(-3))/(12/8). Solve -4*s + 5 = 2*g + s, -2*g - v*s + 8 = 0 for g. 5 Let f(d) = d**3 - 16*d**2 + 15*d + 1. Let u be f(15). Solve 3*p - 3 = 0, -4*q + 12 + u = -3*p for q. 4 Let a(u) = u**3 - u**2 - u + 1. Suppose -m - 4 = -5*m. Let z be a(m). Let c = 9 + -6. Solve z = -c*w - 9, 2*d + 2*d + 7 = 3*w for d. -4 Suppose -4*l - 1 = -5*l. Solve g - 2*c = -5*c + 19, 4*g - 3*c - l = 0 for g. 4 Let d = 6 + -6. Suppose -q + 8 = -d*q. Solve 2*a = 5*a - 4*x + q, 5*x - 33 = -2*a for a. 4 Let w(d) = d**3 + 5*d**2 + 3*d + 4. Let o be w(-4). Solve 0 = -0*q - 5*q - 3*m + 6, -4*m + o = 5*q for q. 0 Let d(n) = n**3 - 2*n + 1. Let m be d(2). Let c be 12/m - 8/20. Let g be (-3)/3 - (-3 + c). Solve -4*w - 4 = 4*z - g, 5*z = 4*w + 22 for w. -3 Let o = -1 - -5. Let h be (10/15)/((-10)/(-75)). Solve 5*n - 5 = 3*v, 0*v - o*v + 40 = h*n for n. 4 Suppose 0 = -3*p + 4*p. Solve p = -3*z - 4*j + 31, -4*z - 4*j + 24 = -12 for z. 5 Let w be 6/(-2) + (4 - -5). Suppose 0 = 4*c - w - 14. Solve 3 = i - k + c*k, 4*k = 3*i - 9 for i. 3 Suppose 0 = -z - 1 + 7. Solve -2*r + 13 = 5*b, 0 = 2*b + 4*r - 12 - z for b. 1 Let r(d) = -d + 1. Let y be r(-6). Suppose -y = 5*b - 27. Let u(o) = o**2 - 5*o + 4. Let s be u(5). Solve s*i + b = 2*t + 2*t, 0 = 4*t for i. -1 Let i(q) = -28*q**2 - 3*q + 2. Let s be i(2). Let j = s - -170. Solve 3*r - 9 = -3*v, 19 = 5*r - 5*v + j for r. -2 Let d(q) = 70*q + 2. Let x be d(3). Let k be 2/(-7) - x/(-7). Suppose 4*i - 2*y - 3*y = k, -3*i + 7 = 4*y. Solve 5 = i*v - 5*o, 5*o + 17 = -4*v + 5*v for v. -3 Let r(o) = 3*o - 11. Let u be r(5). Solve 3*l = u*h - 2 - 1, 0 = -3*h - 2*l + 15 for h. 3 Suppose -2*g = -5*g - a - 1, 5*g = 3*a + 3. Suppose g*x = -x + 4*n - 12, 0 = -3*x + 3*n. Solve -3*q + 2*q - x = j, 4*q - j = 4 for q. 0 Let l(y) = y**2 + 2*y + 2. Let i be l(-2). Suppose i*s = 6*w - w - 32, 0 = -w - 5*s + 1. Solve -5*f - 12 = 2*o + 7, 3*o + w = -3*f for f. -5 Let s be 53/6 - (-10)/60. Solve u = y - s, -u - 24 = -y - 3*y for y. 5 Suppose 5*h = 3*v + 16, v = 3*h - 8 - 0. Suppose 4*x = h*r + 56, 52 = 4*x - 2*r - r. Solve -s = 4*u - 3, 5*s + 2*u = s - x for s. -5 Let j(s) = -2 - s**2 - 2 - 5*s + 0. Let p be j(-5). Let f be -5*(-2)/p*-2. Solve 0*n = 5*n + 4*w + 7, 9 = -f*n - 3*w for n. -3 Suppose 1 + 159 = 8*o. Solve 0 = -4*q - 4*r - 16, -o = 4*q + q - 4*r for q. -4 Suppose -4*l - 2*o - 110 = 0, 2*l + 2*o = -3*l - 136. Let b = 2 - l. Let w = -16 + b. Solve -2*c + 2*k + 33 = -7*c, 3*k + w = 0 for c. -5 Let s be 2*(-3)/6*0. Suppose -15 = -5*g - s. Suppose -g*z - 8 = -7*z. Solve 3*p - z*p + 7 = -v, 0 = 4*p + v + 16 for p. -3 Let l = 1 + 2. Let i be (l - -37) + 0/(-2). Solve 4*q - 15 = s - 0*s, -3*q + i = 5*s for s. 5 Let
{ "pile_set_name": "DM Mathematics" }
+ (5 - 5 + 8*k)*(-2*k - 2*k + 12*k + (5 - 5 + 1)*(-k + k + k)). 80*k**2 Expand (3*v**2 + 9 - 9 + 0*v - 2*v**2 + 0*v + (-2*v**2 - 3*v**2 + 3*v**2)*(-3 + 5 - 1) + 0*v**2 - 3*v**2 + 7*v**2)*(0*v + 3*v - v). 6*v**3 Expand (1 - 1 - 2)*(-2*u - 3*u + 2*u)*(0 + 32 + 4). 216*u Expand (0*p + 2*p + 3*p)*(-6*p**2 + 0*p**2 + 4*p**2 + (-2*p + 2*p + p)*(-p - 3 + 3)) + p**3 - 4*p**3 + 45*p**3 - p**3 + 2*p**3 - 2*p**3. 26*p**3 Expand (5 - 5 - 5*n)*((-3 + 3 + n)*(1 + 2 - 1) + n - 4*n + 2*n - 1016*n + 1988*n - 1032*n). 295*n**2 Expand -3*l + l + 0*l + l - 1 + 1 + (3 + 2 - 3)*(-673 - 106*l + 673). -213*l Expand (4 - 2 - 4)*(-2*v**3 + 4*v**3 - 3*v**3)*(-v - 2*v + 2*v) + 180*v**4 - 5792 + 5792. 178*v**4 Expand 372 - 372 - 3*z + (-z - 2 + 2)*(2 - 2 + 1). -4*z Expand 10*f**2 + 26*f**2 + 4*f**2 + (f + 5*f - 3*f)*(f - 4*f + f). 34*f**2 Expand (2 + 2 + 1 + (-1 + 3 - 1)*(-2 + 5 - 2))*(-q - 4*q - 12*q). -102*q Expand c**3 - 28*c**3 + 6*c**3 + (-4 + 3 + 3)*(-2 + 2 + c**3) - c**3 - c**3 - 5*c**3. -26*c**3 Expand (-1 + 1 - 2*r**2)*(-22*r + 15*r + 12*r)*(-4*r + 12*r - r). -70*r**4 Expand -164*k**4 + 374*k**4 - 193*k**4 + (-3*k + 3*k - 2*k**4)*(-1 + 2 - 2). 19*k**4 Expand -4*r**3 + 14 - 9*r**2 - 15 + 4*r**2 + (2 - r**2 - 2)*(-r + r - 2*r). -2*r**3 - 5*r**2 - 1 Expand (j + 2 - 2)*(23*j**2 - 11*j**2 + 22*j**2). 34*j**3 Expand (-4 + 3 - 2 + (2 - 2 + 1)*(2 - 2 + 1) + 2 + 0 - 4)*(2*s - 2*s + 2*s) + 2 + 2*s - 2 + (2 + 1 - 2)*(-2*s + s + 2*s) + 2*s - 4*s + 4*s. -3*s Expand (-2*y**3 - 5*y**3 + 3*y**3)*(-1 + 3*y + 1)*(-4*y + 2*y + 4*y). -24*y**5 Expand (-23*f**3 - 20*f**3 + 10*f**3)*(f + 1 - 1) - 36 - 4*f**4 + 36. -37*f**4 Expand -142*c**2 + 16*c**2 + 477*c**2 + 288*c**2 + (5*c - 4*c - 2*c)*(-2*c - 3*c + 4*c). 640*c**2 Expand (0 + 1 + 2)*(-3*r**4 + r**4 + 4*r**4)*(5 + 18 - 9)*(0*r - 1 - r - 3*r). -336*r**5 - 84*r**4 Expand 2*k**4 - 5*k + 4*k + 0*k + (11*k - 11*k + 7*k**3)*(-23*k + 165 - 165). -159*k**4 - k Expand (-2 - 1 + 1)*(23 + 1 + 2*o - 1)*(-10 + 16 + 16). -88*o - 1012 Expand (-2*v**3 + 8*v**3 + 2*v**3)*(-17*v + 17*v - v**2) - v**5 + v**5 + 3*v**5. -5*v**5 Expand (167*t - 108*t - 89*t)*(-3*t - t + 7*t + (-t - t + 0*t)*(-3 - 3 + 4) - 4*t + 2*t + 4*t) + (4*t - 2*t - 4*t)*(-2*t + t + 3*t). -274*t**2 Expand (-a**3 + 26*a**3 - 4*a**3)*(5*a**2 + 1 - 2 - 6*a**2). -21*a**5 - 21*a**3 Expand (3 - 2*h - 3)*(-20 + 20 - 46*h**2). 92*h**3 Expand (66*y**4 - 15*y**4 - 296*y**4)*(2*y + 4 - 4). -490*y**5 Expand (-115*j**2 + 153 + 250*j**2 - 134*j**2)*(2*j**2 - 4*j**2 + j**2). -j**4 - 153*j**2 Expand -2*y**4 + 39*y**2 - 39*y**2 + (-4*y**2 - 11*y**2 - 8*y**2)*(1 - 2*y**2 - 1). 44*y**4 Expand (-32 - 57 - 32 - 22)*(-2*j + 2*j + j). -143*j Expand u**4 - u**4 - 3*u**5 + u**5 - u**5 + 3*u**5 + 4*u**5 - 7*u**5 - 7*u**5 + 6*u**5 - 3*u**5 - 5*u**5 + (-3 + 1 + 1)*(3*u**5 + 2*u**5 - 3*u**5). -14*u**5 Expand 9*s - 2*s - s + (0*s + 0*s + s)*(-2 - 1 + 1) + (-2 - s + 2)*(-5 + 0 + 3). 6*s Expand (-7*o + 9 - 9*o + 8*o)*(o - 2*o - 4*o). 40*o**2 - 45*o Expand (44*n**2 - 17*n**2 + 17*n**2)*(0*n**2 + 2*n**2 - 7*n**2) + 0*n + 0*n - 3 + n**4 + (-n**2 - 2*n**3 + n**2)*(-n - 2*n + 2*n). -217*n**4 - 3 Expand (6*d + d - 3*d)*(2 + 5*d - 2) - 6*d**2 - d + 9*d**2 - 4*d**2 - 33. 19*d**2 - d - 33 Expand (-b + 8*b - 8*b)*(-3*b + 3*b + 2 + 2*b) + (-2 + 0 - 1)*(-2*b**2 + 1 - 1). 4*b**2 - 2*b Expand (-1 + 2 + 0)*(-1 - 1 + 8)*(-1 + 9*g**4 - 12*g + 12*g)*(-4 + 9 + 6). 594*g**4 - 66 Expand (15 - 16 + 9*u + 4)*(-2*u**2 - 2*u**2 + 3*u**2). -9*u**3 - 3*u**2 Expand (-k**4 + 5*k**4 + 2*k**4)*(-5 + 1 + 0)*(3 - 4 + 3). -48*k**4 Expand (3*c - 4*c - c)*(5*c**2 - 9*c**2 + 6*c**2)*(816 - 3*c - 3*c - 818). 24*c**4 + 8*c**3 Expand (-16*g**2 + 0*g**2 - 185 + 181)*(4*g**2 - 4*g**2 - g**2). 16*g**4 + 4*g**2 Expand -39*l**4 - 369*l + 369*l + (1 - l**3 - 1)*(38*l - 647 + 647). -77*l**4 Expand (-2*f**4 + f**3 - f**3)*(-f + 0*f - f + (-3 + 5 - 3)*(3 - 3 + f) - 1 + 1 - f + (f + 3*f + f)*(-9 - 6 - 4)). 198*f**5 Expand (535*p - 6006 + 6006)*(-3 - 2 + 4). -535*p Expand (2*y - 3 + 3)*(111*y + 35 - 215*y + 105*y). 2*y**2 + 70*y Expand ((5*b - 3*b - b)*(-5 + 1 + 5) + 16*b + 18*b - 4*b)*(0*b + 0*b - 2*b**3). -62*b**4 Expand (-2*n**4 + 0*n**4 + 4*n**4)*(2*n + 4*n + n)*((-2 + 2 + 2)*(-3 + 4 - 3) + 0 - 1 - 2) + (0 + 1 + 0)*(-2*n + 2*n + n**5). -97*n**5 Expand (-m + 3*m + 3*m)*(m + 3*m - 2*m) - 3*m**2 + 3*m**2 + 3*m**2 + 39*m**2 - 8*m**2 + 21*m**2. 65*m**2 Expand 15*y - 281 + 281 + (1 - 4 + 1)*(-4 + 2 + 1)*(4*y + y - y). 23*y Expand (69*h**2 + 13*h**2 + 2*h**2)*(0*h**3 + 3*h**3 + 0*h**3). 252*h**5 Expand (11*f**2 - 6*f**2 + 10*f**2)*(6*f**2 - 4*f**2 - 5*f**2). -45*f**4 Expand (-4*j**3 + 2*j**3 + j**3)*(-136*j + 83*j - 111*j)*(0 - 2 + 3)*(-5*j + 4*j - 3*j). -656*j**5 Expand (-4*i**3 - i**3 + 4*i**3)*(-5*i - 14*i + 7*i)*(11*i + 7*i - 4*i). 168*i**5 Expand (-3*r + 6 - 3 + 1)*(19 + 18 + 0). -111*r + 148 Expand (4 + 0 - 3)*(g + 4*g - 6*g) + 6*g - 6*g + 4*g - 73 + 75 + 73*g - 3*g. 73*g + 2 Expand (7*u + 24*u**2 - 7*u)*(0 - 8*u**2 + 0). -192*u**4 Expand (-4*w**5 + 3*w**5 - 2*w**5)*(-3 + 6 - 1)*(30 + 8 - 21). -102*w**5 Expand (3*s**3 + 0*s**3 - s**3)*(-14 - 2580*s**2 + 1306*s**2 - 3 + 1325*s**2). 102*s**5 - 34*s**3 Expand -1 + 1 + x**2 + (1 + 5 + 6)*(3*x**2 - x**2 + 4*x**2). 73*x**2 Expand c**4 - 1 + 1 + 3*c**4 - 3*c**4 - 5*c**4 + (3 - 3 - 2)*(3 - 3 - 2*c**4) - 26*c**4 - 49*c**3 + 49*c**3. -26*c**4 Expand (2*d**4 + d**4 - d**4)*(10 - 26 + 3 + (-4 + 8 + 1)*(2 + 1 - 4)). -36*d**4 Expand -36*w**2 + 3*w**2 + 15*w**2 - 21*w**2 + (-2 + w + 2)*(0*w - 2*w - w). -42*w**2 Expand (k + 0*k - 3*k + (1 - 1 - 2)*(-k + 3*k + 0*k) - 3*k + 4*k - 3*k + (4 - 12 - 12)*(-6 + 6 - 3*k))*(k + 3*k - 2*k)*(3*k + 4 - 4). 312*k**3 Expand (2*g - 2*g - g)*(5 - 1 - 2)*((4*g + 3*g - 5*g)*(5*g**2 + 0*g**2 + 3*g**2) - g**3 - 2*g**3 - 11*g**3). -4*g**4 Expand -4*s**3 - 4 + 4 + (s + s - 11*s)*(-17*s**2 + 0*s**2 - 11*s**2). 248*s**3 Expand (-7*n - 3*n - 8*n)*(-n + 3*n + 0*n + 0*n + 3*n - n + (-1 + 5 - 2)*(1 + 2*n - 1) + 2*n + n - 4*n + 0*n - 2*n + 0*n - n - 3 + 3). -72*n**2 Expand 14*c**2 - 4*c**2 + 3*c**2 + 4*c**2 - c**2 - c**2 + (0*c + c + c)*(-3*c + c + 3*c) + 3*c**2 - 4*c + 4*c. 20*c**2 Expand (-11 + 27 - 4)*((-4 + 4 - 2*h)*(-8*h - 9*h + 21*h) + (-h - 2*h + h)*(-h - 4 + 4)). -72*h**2 Expand (p**3 + 0*p**2 + 0*p**2)*(2343*p**2 - 316 + 4*p - 2342*p**2 - 2*p). p**5 + 2*p**4 - 316*p**3 Expand (2*h**2 - h**2 + 9*h**2)*(0*h + 3*h - h) + 0*h**3 - h**3 + 3*h**3 + (-4*h - 2*h + 12*h)*(h + 1 - 1)*(-h - 4*h + 3*h). 10*h**3 Expand -x**2 + x**2 + x**3 - 530*x + 52*x**3 + 530*x + (0*x**2 + 0*x**2 + x**2)*(0*x + 2*x - x) + 3*x**3 + 2*x**3 - 2*x**3. 57*x**3 Expand -4*w**3 + 3*w**3 + 3*w**3 + 28*w**3 - 47*w**3 - 39*w**3 + (-w**2 - 3 + 3)*(0*w - 2*w + 0*w) + 6*w**3 - 2*w**3 - 2*w**3. -52*w**3 Expand a**2 + 2 - 33 - 30 + (7*a - 2*a - 3*a)*(0 + 0 + 2*a) - 2*a**2 + 0 + 0. 3*a**2 - 61 Expand -669 + 1380 - 2*h**2 - 608 + (-2*h + 0 + 0)*(2*h + 1 - 1). -6*h**2 + 103 Expand (3*a**2 - a**2 - 6*a**2)*(-7 - 1 + 1) + a**2 - 3*a**2 + 4*a**2 + (-4*a + 0*a + 6*a)*(a - 4*a + a). 26*a**2 Expand (2*z**2 + 11 - 11)*(-2 - 3 + 7)*(14 - 18 + 4 + 149*z**2). 596*z**4 Expand (3*x**2 - 3*x + 3*x)*(0 + 12*x + 4 - 17*x). -15*x**3 + 12*x**2 Expand -2*k**2 + 0*k + 0*k - k**2 + 2*k**2 - 2*k**2 + (2*k - 5*k + 5*k)*(-1 + 1 + k) - 3*k**2 + 3*k**2 + k**2 + 13*k**2 + 11*k**2 - 19*k**2. 5*k**2 Expand (4*k - 3*k + 7*k)*(3*k**2 - 2*k**2 - 2*k**2)*(-3*k - k + 2*k). 16*k**4 Expand (11 - 3*h - 11)*(-2*h**2 + 9*h**4 - 34 + 34). -27*h**5 + 6*h**3 Expand -91*u**3 + 91*u**3 - 23*u**5 + (-2*u**4 - 6 + 6)*(0*u + 3*u - 4*u) + 0*u**5 + 2*u**5 + 0*u**5. -19*u**5 Expand (10 + 2 - 1)*(x + 3*x - 2*x)*(-7*x**2 - 27 + 27)*(0 - 2*x**2 + 0). 308*x**5 Expand -201*b + 201*b + 3*b**2 + 7*b**4 + (b**2 + 4*b - 4*b)*(2*b**2 + 6*b**2 + 0*b**2). 15*b**4 + 3*b**2 Expand (-f + 3*f - 6*f)*(559*f - 5*f**4 - 559*f + 13*f**2). 20*f**5 - 52*f**3 Expand (-2*u + 4*u + 1 + 0)*(-6*u - 199*u - 128*u). -666*u**2 - 333*u Expand (0 - 3 + 2)*(-4*i + i + i) - 3177*i + 1355*i - 1107*i - 3597*i. -6524*i Expand -t**2 + 0*t**2 - 2*t**2 + (-36*t - 90 + 90)*(5*t + 1 - 1). -183*t**2 Expand -h**2 + 0*h**2 - 6*h**2 + 1 - 2*h**2 - 1 + (h**2 + 2*h**2 - h**2)*(-1 + 3 - 4) + 2*h**2 - h**2 + 2*h**2 + (2 - 2 - h)*(h + 4*h - 4*h). -11*h**2 Expand (l + 2*l - 2*l)*(-l + 3*l - 3*l) + 2*l**2 - 5*l**2 + 0*l**2 + 122*l + 121
{ "pile_set_name": "DM Mathematics" }
2 - 3*i + 2. Let v be u(5). Does 6 divide -1*(-16 + 2/v)? False Let s = 37 + -17. Suppose 17*a - s*a + 120 = 0. Is 8 a factor of a? True Suppose 2*o + o - 5*f - 28 = 0, -5*o = -5*f - 30. Suppose 0 = -g + 4 + o. Suppose -2*h + 39 = g*b + 2, -41 = -5*b - h. Is 9 a factor of b? True Suppose -46*b + 51*b = 125. Does 5 divide b? True Let u(q) = q**2 + 6*q + 4. Let v(l) = -l**2 - 5*l - 4. Let x be v(-8). Let a be (1 + x)/3 - -3. Does 4 divide u(a)? True Let y(a) = 2 + a - 5*a + 11 + 9*a. Let x be y(-8). Is x/36 + 382/8 a multiple of 13? False Let j(i) = 13*i**2 - 20*i + 46. Is 12 a factor of j(8)? False Let i = -1 - -5. Let p(y) = 7*y**3 - i + 2*y - 4 - 5*y**2 - 6*y**3. Does 20 divide p(6)? True Let m = 1077 + -554. Does 3 divide m? False Let b = 38 - 45. Is 718/8 + (21/(-12))/b a multiple of 18? True Let r(o) = 100*o - 2. Let k be r(1). Suppose 0 = -7*n + 4*n - 4*c + 158, -2*n + c + k = 0. Is 15 a factor of n? False Let z(q) = 28*q. Let k = 95 - 67. Let b = 29 - k. Is z(b) a multiple of 7? True Suppose -704 = -2*y + 4*k, -1725 = 6*y - 11*y + 3*k. Does 19 divide y? True Let l(r) = 108*r**2 - 9*r - 24. Is l(-3) a multiple of 22? False Let d = 14 + -9. Suppose 5 = k, 2*n + 2*n + d*k - 337 = 0. Suppose -s + n = 2*s. Does 9 divide s? False Suppose -3*n + x = -3331, 3*x - 8 = -2. Suppose -225 = -8*g + n. Is 12 a factor of g? False Let z(t) = -t**3 - 11*t**2 + 10*t + 3. Let v(d) = -2*d**3 - 23*d**2 + 20*d + 5. Let i(g) = 4*v(g) - 9*z(g). Let h be i(-8). Does 3 divide h*(0 + -3 + 4)? True Suppose 6*m - 224 = -2*m. Suppose 0 = -26*j + m*j - 140. Is 14 a factor of j? True Suppose 3*z - 117 = -33. Let s = z - 21. Does 3 divide s? False Suppose -4*v - 6*d + 5*d = -4821, 2*v + d - 2409 = 0. Does 43 divide v? False Suppose 16447 = 3*g - 2*i, 4*g - 10*i = -6*i + 21932. Is g a multiple of 9? True Let t be -3 - -4 - (10 - 5). Does 3 divide 1/(t/12) + 9? True Let z(h) = 4*h - 7. Let x be z(2). Is (9/(-2))/(x/(-4)) a multiple of 9? True Let n(h) = -9*h - 8. Suppose -6*d - 25 + 7 = 0. Does 3 divide n(d)? False Let p = 11154 + -7564. Is 30 a factor of p? False Let h(f) = -f**3 + 23*f**2 + 38*f - 271. Is h(24) a multiple of 2? False Suppose 5*a = 9*a - 20, -3*t + 280 = -4*a. Is 4 a factor of t? True Is 43 a factor of (-560)/4760 - 3/(-17)*1865? False Let h = -597 - -1089. Suppose -h = -5*s - s. Does 29 divide s? False Is 41 a factor of -14 + (-40032)/(-54) + 8/(-6)? False Suppose 4*y - 143 = -s, 2*s - 4*s + 3*y + 231 = 0. Suppose 2*b = 3*q - 121, -b + s = 3*q - 4*b. Does 8 divide q? False Let k = 2005 + -1426. Is k a multiple of 36? False Let z = -3 + 9. Suppose -7*b + z*b = -74. Let r = b + -50. Is 9 a factor of r? False Let p be 20/(-2)*6*(-1)/(-12). Is 6 a factor of 27 + (p + 3)*(1 + 0)? False Suppose 5*v = 3*a + 3263 + 1790, -15 = -3*v. Does 5 divide a/(-28) - 4/(-28)? True Suppose 898*w - 1170 = 885*w. Does 5 divide w? True Let a(u) = -u**3 - 3*u**2 + 6*u + 11. Let s be a(-5). Let r = 19 + s. Does 10 divide r? True Suppose 5*y + 719 = 3*b, 12*b - 8*b + 3*y - 920 = 0. Does 16 divide b? False Let f(r) = 26*r - 5. Let v be f(10). Suppose 0 = 4*n + n - v. Suppose 30 = 3*q + j, -3*q - 21 + n = -4*j. Is q a multiple of 10? True Let o(w) = -w**3 + 18*w**2 - 15*w + 17. Let h be o(17). Let d = 61 - h. Is d a multiple of 9? False Let t = -175 - -475. Does 10 divide t? True Suppose -1885*c + 1891*c - 1482 = 0. Is c a multiple of 9? False Is 54 a factor of (2 + 60/(-24))*-5832? True Let r = 125 - 73. Let h = r - 20. Let l = -16 + h. Does 4 divide l? True Let l be 9/6 - (-3)/6. Suppose -l*i = 22 + 2. Let x(y) = -y**2 - 14*y - 6. Is x(i) a multiple of 11? False Let m be 15/30*(-1 + -5). Is m/(-15) + 558/10 a multiple of 14? True Suppose 5*l - 399 = -y - 0*y, 4*l = -y + 320. Let v = 38 + l. Is 5 a factor of 1534/v + 2/(-18)? False Suppose 2*f = -2*i - 0*i + 646, 2*i - 637 = f. Is i a multiple of 32? True Let w = -256 - -741. Suppose w = 6*r - r + 5*h, -3*r + 293 = 4*h. Is r a multiple of 41? False Is 10 a factor of (-1)/((-7)/(431 - -3))? False Suppose -2 - 4 = -3*h. Suppose 12 = 2*f - h*w, -38 = -4*f - 2*w + 4. Let q = f + -6. Is q a multiple of 3? True Let c = -4 - -5. Let g(y) = 2*y + 1. Let b be g(c). Suppose 0*q - q + 14 = -5*u, 2*q - 49 = b*u. Is q a multiple of 23? False Let l(p) be the second derivative of -3*p**3/2 + p**2 + 6*p. Is l(-2) a multiple of 5? True Let y(p) = 8*p + 1. Let o(w) = 6*w**3 + w**2 - 2*w + 1. Let t be o(1). Let u be y(t). Suppose -5*l - u = -6*l. Is 14 a factor of l? False Suppose -5*p - 33 = -2*p. Is 7 a factor of (-10 - p)*(-1)/((-2)/14)? True Let u = -20 + 17. Is (-30)/(u - 4/(-4)) a multiple of 2? False Suppose 0 = 4*j - 125 - 23. Is (j + (-6)/(-2))*1 a multiple of 8? True Let j be -1*-1*8/4. Suppose j*t - 4*t = -20. Is 3 a factor of t? False Let q(a) = -a**2 + 6*a + 3. Suppose 2*o - 24 = -12. Let t be q(o). Is (6/t)/((-1)/(-8)) a multiple of 8? True Let q = -38 + 25. Let b be (20 + q)*24/14. Suppose 5*y - b = 153. Does 7 divide y? False Let u = 15 + -11. Suppose 5*j + 58 = 228. Suppose j = u*a + 2. Is 3 a factor of a? False Suppose 0*f = 3*f + 4*l - 23, 5*f - 29 = -2*l. Let z be f/15 - 422/6. Let k = z + 104. Is k a multiple of 30? False Let x(c) = c - 3. Let t be x(7). Suppose -a = f - 20, -3*a + 5*f = -t*a + 12. Does 22 divide a? True Suppose f - 27 - 42 = -3*s, s - 243 = -4*f. Does 6 divide f? True Let k(w) = -3 + 2 - 2*w + 26*w. Let g be k(5). Suppose 0 = -4*t + 2*h - 5*h + 217, 5*h - g = -2*t. Is t a multiple of 13? True Let m(o) = o**3 + 8*o**2 - 7*o - 6. Suppose -3*b + 20 + 64 = -2*n, 4*b - 112 = -3*n. Suppose -6*u = -2*u + b. Is 30 a factor of m(u)? False Let f(p) = -80*p - 374. Does 61 divide f(-12)? False Let d(s) = s - 5. Let j be d(7). Suppose 5*l - 34 = k, j*l - 5*k + 26 = 5*l. Is (l/(-4))/((-3)/60) a multiple of 29? False Suppose s + 0 + 4 = 0, 3*u = 4*s + 22. Suppose 5*b - 4*f = -u, -b + 2*b + f - 5 = 0. Suppose -w - 60 = -b*w. Does 11 divide w? False Is 139 + (-9 - -5) + 10/2 a multiple of 28? True Suppose -7*l + 18 = -5*l. Suppose l = 2*i + 3*y - 1, 3*i - 15 = -y. Suppose 2*t - 97 = -5*o - 0*o, t = -i*o + 41. Is 14 a factor of t? True Let y = -350 + 440. Is 45 a factor of y? True Suppose -22*k = -26*k + 3588. Does 15 divide k? False Let l = 1179 - 155. Is 28 a factor of l? False Let q(l) = 10*l + 5. Let u be (-22)/3 - (-5)/15. Let s be q(u). Let n = 25 - s. Does 18 divide n? True Does 10 divide (16/40)/(6/24600)? True Suppose -w = y - 0 - 6, w = -2*y + 9. Suppose y*p + 5*g = 5*p - 298, 2*p + 3*g = 282. Is 12 a factor of p? True Suppose 3228 = 101*v - 95*v. Does 9 divide v? False Suppose p + n = 296, p + 4*n - 304 = 5*n. Does 4 divide p? True Let h(c) = c**3 - c**2 - 13*c + 7. Is h(8) a multiple of 11? False Suppose 0 = -13*k + 170 + 129. Is 20 a factor of k? False Let z(y) = 6*y**2 - 3*y - 15. Does 24 divide z(-3)? True Let t(b) = 41*b**3 - 2*b**2 + b - 4. Does 44 divide t(2)? False Suppose 21 = -8*u + 141. Suppose -u*t + 10*t = -670. Is t a multiple of 11? False Let d(r) = 23*r**3 + 5*r**2 + 5*r. Let l(b) = 45*b**3 + 11*b**2 + 11*b. Let y(g) = g + 8. Let s be y(-4). Let a(t) = s*l(t) - 9*d(t). Is 9 a factor of a(-1)? True Let g = -182 - -357. Let j = -58 + g. Is 13 a factor of j? True Suppose -1672 = -2*y + 3*d, y - 846 = -0*y - d. Does 16 divide y? False Let m(o) = o + 106. Let d be m(0). Suppose 2*z + d = 2*v - 40, -v + 53 = -5*z. Does 13 divide v? True Let g = -60 - -42. Is 10 a factor of 6/(-6) - (g + -2)? False Let o be (2/(-3))/((-12)/(-126)) - -1. Let w = 1468 - 964. Is 12 a factor of (1/(-2))/(o/w)? False Let m = 2130 - 1625. Does 5 divide m? True Suppose -4*c + 170 = 2*b + 40, -4*b = 5*c - 164. Suppose c = -3*d - 415. Let m = -81 - d. Is 24 a factor of m? False Let z = 189 - 113. Is 19 a factor of z? True Suppose h = -8*s + 7*s + 910, -5*h + 3*s = -4550. Does 65 divide h? True Suppose 13*z + 384 = 16*z. Does 8 divide z? True Let c(a) = -38*a + 27. Does 26 divide c(-31)? False Suppose 2*v - 680 = -2*l, -3*v = -2*l + 663 - 1688. Does 31 divide v? True Is -4 + 121*(4 + -3) a multiple of 22? False Let g = -6 + 8. Let x be -1 + (7 - g - 0). Suppose 0 = -w - 2*h + 6*h + 20, -2*h + x = 0. Is w a multiple of 7? True Suppose 0 = -2*p + 2*s + 15 - 3, -4*p + 5*s = -22. Suppose p*i = 4*i - 2*c + 24, 8 = 4*c. Suppose -2*t = -
{ "pile_set_name": "DM Mathematics" }
) - sqrt(12)/sqrt(96) - -2*(sqrt(2) - (sqrt(18))**2) - (sqrt(2) - sqrt(64)/sqrt(8))*1. -36 + 15*sqrt(2)/4 Simplify (0 + -2*5*(sqrt(243) + sqrt(243) + 0 + -1)*3)**2. -32400*sqrt(3) + 875700 Simplify (sqrt(336) + 1*sqrt(336))/sqrt(12) - ((sqrt(21) - (sqrt(525) - sqrt(21)))/sqrt(3) + sqrt(7) + 0 + 3). -3 + 6*sqrt(7) Simplify -1 + sqrt(17)*2 + 5 + 4 + sqrt(17) + sqrt(833) + 3. 11 + 10*sqrt(17) Simplify 3*(-4 + ((4 + sqrt(2448) + -2)*-1)**2). 144*sqrt(17) + 7344 Simplify (-2 + -1 + (0 + sqrt(5) + -3 - sqrt(5)) + sqrt(45)/(-2*sqrt(9) + sqrt(9)) + sqrt(45)*5 + 1)**2. -140*sqrt(5) + 1005 Simplify (-5 + (sqrt(242) + 1 + 2)*-6)**2 + 4. 3036*sqrt(2) + 9245 Simplify -1 + -5 + -3*sqrt(39)/(sqrt(3) - sqrt(48)) + -4 + ((sqrt(156)*-1)/sqrt(12) + sqrt(13))**2. -10 + sqrt(13) Simplify ((1 + -2*sqrt(180) - sqrt(180)) + sqrt(180)*-2 + sqrt(180) + 4)**2 + (-1*(sqrt(180) + -1)**2 - 1*sqrt(180)*2). -240*sqrt(5) + 2724 Simplify -3*(3 + (1 + (sqrt(245)*4)**2 + sqrt(245) - (4*sqrt(245) + 1))). -11769 + 63*sqrt(5) Simplify (-4 + 2*(sqrt(27)*-2)/sqrt(9) + (sqrt(432) + sqrt(432) + -1 + 1 - sqrt(432)))**2. -64*sqrt(3) + 208 Simplify (4*(1*sqrt(75)*-2 - (sqrt(6) - (sqrt(864)*-2 + sqrt(6)))/sqrt(2)))**2. 55488 Simplify (0 + 1 + -3*(sqrt(200) + (-2 + sqrt(200))*3))**2. -4560*sqrt(2) + 29161 Simplify (sqrt(72)/(5*sqrt(36)/sqrt(4) + sqrt(9)))**2 + 2. 20/9 Simplify -2 + sqrt(7) + (sqrt(112))**2 + 3*(-3 + sqrt(7)) - (sqrt(539)/sqrt(99))/(sqrt(7) - 1*sqrt(343)). 73*sqrt(7)/18 + 101 Simplify ((sqrt(243) + 1 + 4 + 2)*4 + 4)**2*3. 6912*sqrt(3) + 14736 Simplify ((sqrt(6)*-1*-6)/sqrt(3)*6)**2 - ((sqrt(2) + sqrt(2)*-2)*-3 + sqrt(18)/(1*sqrt(9)))**2. 2560 Simplify ((sqrt(90)/sqrt(144) - sqrt(10))*5)/((sqrt(154)/(-2*sqrt(11)))/sqrt(7)). 15*sqrt(5)/2 Simplify ((sqrt(198)*-1)/sqrt(11))/sqrt(9) - sqrt(14)/(sqrt(77)/(sqrt(11)*1 - sqrt(11) - sqrt(11) - sqrt(11))). sqrt(2) Simplify ((sqrt(5600) + (sqrt(5600) - (sqrt(5600)*3 - sqrt(5600))))*4)/((sqrt(32) + sqrt(800))/sqrt(4)*-5). 0 Simplify (-4 + 4*sqrt(252)*-2*-6 + -5)**2. -5184*sqrt(7) + 580689 Simplify ((sqrt(77) - -1*sqrt(77)*3) + sqrt(77) + -4*(sqrt(77) + 1*sqrt(77)))/(-2*sqrt(28)*3). sqrt(11)/4 Simplify ((sqrt(700)*-4*6 - (-3 + sqrt(700) - sqrt(700))*1)*5)**2. -36000*sqrt(7) + 10080225 Simplify (-2*(0 + (sqrt(3300)*1)/sqrt(11))*-3)**2. 10800 Simplify 1 + sqrt(252) + -6*(sqrt(252) + -4)**2 + 6*(sqrt(252) + -1)**2 + sqrt(252) + 3. -86 + 228*sqrt(7) Simplify (sqrt(1872)*2)**2*-4 - ((sqrt(1872) - (sqrt(1872) + 3))*3)**2. -30033 Simplify (6*((1*sqrt(11)*1 - (-1*sqrt(55))/sqrt(5)) + sqrt(11) + 1 + -3 + -5*sqrt(33)/sqrt(3)))**2. 288*sqrt(11) + 1728 Simplify (sqrt(105)/(sqrt(27)*-2))/(sqrt(14)/(sqrt(22)/(sqrt(44)/sqrt(4)))). -sqrt(5)/6 Simplify -3 + (sqrt(77)/sqrt(28) - ((1*sqrt(77))/sqrt(7) + sqrt(11))) + 0. -3*sqrt(11)/2 - 3 Simplify (-1*((sqrt(119)*1 - sqrt(119)) + sqrt(119) - sqrt(119)) + 1*-1*sqrt(119))/((1*sqrt(3136) + sqrt(49))/sqrt(7)). -sqrt(17)/9 Simplify ((-2*sqrt(512))/sqrt(2))/((sqrt(8) - (((sqrt(72) - 2*sqrt(72)) + sqrt(72))/sqrt(9) + sqrt(8))) + sqrt(72)*2 + sqrt(8)). -8*sqrt(2)/7 Simplify (2*(sqrt(7) + -2) - (0 + sqrt(7) + 1)) + (sqrt(2688) + (sqrt(2688) - -3*sqrt(2688)) + sqrt(2688) - sqrt(2688))/sqrt(6). -5 + 41*sqrt(7) Simplify (1*3*sqrt(132))/(sqrt(588)*2). 3*sqrt(11)/14 Simplify ((-5 + -3 + 0 + 0 + sqrt(4400))*3)**2. -2880*sqrt(11) + 40176 Simplify (((sqrt(120) + sqrt(120)*1 + sqrt(120) - sqrt(120))/sqrt(8))/(sqrt(3) + sqrt(432)*2))**2. 4/125 Simplify (2 + sqrt(162)*-2 + -1*(sqrt(162) - (sqrt(162) + -2)) + 3)**2. -108*sqrt(2) + 657 Simplify 6*(sqrt(19) + -2) + sqrt(19) + (sqrt(2299)*-1)**2 + sqrt(931) + 4 + -1. 14*sqrt(19) + 2290 Simplify -1*(sqrt(77) - -3*(sqrt(77) + sqrt(77)*-1 + sqrt(77) - sqrt(77)))/(2*sqrt(11)*6). -sqrt(7)/12 Simplify -6*(-3*(sqrt(1872) + 0) + 2 - (1*(sqrt(1872) + 0) + -1)). -18 + 288*sqrt(13) Simplify (1*sqrt(95)*4 - (-3*sqrt(95)*1 + sqrt(95)))/(sqrt(605) + (sqrt(605) - sqrt(605)*2) + sqrt(605) - -5*sqrt(5)*2). 2*sqrt(19)/7 Simplify (sqrt(15) + sqrt(735)*2 - 3*(sqrt(15) + sqrt(375)))/((sqrt(35)*2)/sqrt(7) - sqrt(40)/(sqrt(8)*-2)). -6*sqrt(3)/5 Simplify (((-2*sqrt(70) + sqrt(70) + sqrt(70))*-4 + sqrt(70))/sqrt(2))/(sqrt(847)*2 - sqrt(21)/sqrt(3)*4). sqrt(5)/18 Simplify ((sqrt(2) - (sqrt(66)/sqrt(11))/sqrt(3) - (sqrt(8) + -5))*4)**2. -320*sqrt(2) + 528 Simplify -1*((sqrt(931) - (sqrt(931)*-3)**2) + 1 - (5 + 4*sqrt(931) + sqrt(931))**2). 343*sqrt(19) + 31678 Simplify -4 + (-2*-4*(sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2)))**2 - (sqrt(6)/sqrt(3) + -2 - sqrt(128)*-1). -9*sqrt(2) + 1150 Simplify ((sqrt(12) + sqrt(120)/sqrt(10)*-1)/(sqrt(66)/(sqrt(66)/sqrt(6))))**2. 0 Simplify ((-1 + sqrt(19))*2 + -3)**2 - sqrt(57)/(sqrt(144)/sqrt(3) + sqrt(48)). -161*sqrt(19)/8 + 101 Simplify (sqrt(25)/(sqrt(20)*3) + -3*4*sqrt(5)*-2)**2. 105125/36 Simplify -4 + (3*sqrt(1400))/(-4*(sqrt(7) - sqrt(28)/sqrt(4) - sqrt(7))). -4 + 15*sqrt(2)/2 Simplify -1 + sqrt(2) + 4 + -1 + 4 - (-5*(sqrt(32))**2 + sqrt(24)/(sqrt(432) - sqrt(12))). 4*sqrt(2)/5 + 166 Simplify (2*sqrt(5200)*-1)/(-4*sqrt(16)/sqrt(4)*-4). -5*sqrt(13)/4 Simplify (sqrt(1377)*1 + sqrt(34)/sqrt(2)*3)**2 - (sqrt(153) + 3 + (1*sqrt(170) - sqrt(170))/sqrt(10)). -3*sqrt(17) + 2445 Simplify ((1*2*sqrt(245))**2 - ((0 + sqrt(245) + sqrt(245))**2 + 3)) + -5. -8 Simplify (-5 + 1 + -1*(sqrt(7) + sqrt(21)/sqrt(48)) + 5)**2. -5*sqrt(7)/2 + 191/16 Simplify 1 + (-2 + (sqrt(49) + 1*sqrt(784))/((sqrt(84)*-1)/sqrt(12)))**2. 20*sqrt(7) + 180 Simplify -2 + (sqrt(126)*-3)/(-5*sqrt(77)/sqrt(11)). -2 + 9*sqrt(2)/5 Simplify (2*((sqrt(128) + 1)*4 + 2*-1*sqrt(128)))**2. 512*sqrt(2) + 2112 Simplify (-4*sqrt(75)*3*4 + -1 + (sqrt(75) - ((sqrt(75) - (1 + sqrt(75))) + sqrt(75))) + -1)**2. 480*sqrt(3) + 172801 Simplify (-5*sqrt(1700))**2*-6 + ((sqrt(1700) + 1 + sqrt(1700))**2 + sqrt(1700))*-1. -261801 - 50*sqrt(17) Simplify (6*(sqrt(300)/sqrt(10) - sqrt(30)))/(sqrt(10) + (sqrt(360) - (sqrt(360) + sqrt(360) + -1*sqrt(360) + sqrt(360)))). 0 Simplify 0 + 6*(2 + -4*(sqrt(96)/sqrt(4))/sqrt(8)). -24*sqrt(3) + 12 Simplify ((-6*(sqrt(343) - (sqrt(343) - (sqrt(343) + 2) - sqrt(343))) + 4)*-4*6)**2. 774144*sqrt(7) + 28486656 Simplify (((sqrt(51) - sqrt(51)*-2) + sqrt(51))*1*6)/(sqrt(108)/sqrt(4)*-1). -8*sqrt(17) Simplify (-1*(sqrt(88)*3 + sqrt(88))*1)/(3*sqrt(648)*-1). 4*sqrt(11)/27 Simplify -2*sqrt(45) + 2 + ((sqrt(270)*1)/sqrt(6))**2 + 0. -6*sqrt(5) + 47 Simplify ((sqrt(114) + (sqrt(114) - sqrt(114)*-4) + sqrt(114))*3)/sqrt(1944). 7*sqrt(19)/6 Simplify 3*-4*(5 + (sqrt(189)/sqrt(3))/sqrt(9))**2. -384 - 120*sqrt(7) Simplify (1 + (-6*1*sqrt(104))/(sqrt(648)*-2))*-5. -5*sqrt(13)/3 - 5 Simplify sqrt(27)/(sqrt(9) + (sqrt(576) - sqrt(576)*2)) - (sqrt(363)/(-1*sqrt(11)))/sqrt(11). 6*sqrt(3)/7 Simplify (((-2*sqrt(66))/sqrt(2))/(6*sqrt(12)/sqrt(4)))**2. 11/9 Simplify (sqrt(55) + 1*sqrt(110)/sqrt(2) - sqrt(660)/(2*sqrt(12)))/(sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*-2)) + sqrt(99) - -1*sqrt(11)*6). sqrt(5)/12 Simplify 0 + ((sqrt(605) + -1)**2 + 3*(1 + sqrt(5))**2 - ((sqrt(480)/sqrt(6))**2 - sqrt(55)/(sqrt(11)*-2 - sqrt(11)))). -49*sqrt(5)/3 + 544 Simplify ((-2 + sqrt(252) + 5)*4 + 4 + sqrt(252) + 2 + 5)**2. 1380*sqrt(7) + 6829 Simplify -1*((sqrt(72) - (sqrt(72) + 1 + 3)**2) + (4*sqrt(72)*-1)**2)*6. -6384 + 252*sqrt(2) Simplify (-5 + sqrt(40)/(-2*sqrt(8)*1 - sqrt(8)) + -3)**2. 16*sqrt(5)/3 + 581/9 Simplify (5*(sqrt(228) + sqrt(228)*2 + sqrt(228)) - sqrt(228)*2*-5)/((-2*sqrt(1764))/sqrt(3)). -15*sqrt(19)/7 Simplify (-5*(5*sqrt(121) - sqrt(121) - sqrt(121)))/(2*sqrt(44)). -15*sqrt(11)/4 Simplify 4*(4*(sqrt(76) + 0 + 1 + sqrt(76) - ((sqrt(76) - (0 + sqrt(76))) + -5)))**2. 3072*sqrt(19) + 21760 Simplify -5 + (sqrt(35)/(sqrt(14)/sqrt(18)))**2 + ((1*sqrt(240) - sqrt(240)) + sqrt(60))/(sqrt(144)/sqrt(192)). 4*sqrt(5) + 40 Simplify (sqrt(209) - -3*(sqrt(209) + sqrt(209)*1))/(sqrt(88)/(-2*sqrt(8))) + -2. -14*sqrt(19) - 2 Simplify (-5*(sqrt(500) + -5)**2 - sqrt(500)) + (sqrt(20)/sqrt(64) - (sqrt(20) + sqrt(20) + -2 - sqrt(20))). -2623 + 1953*sqrt(5)/4 Simplify 3 + sqrt(57)/(-1*sqrt(3)) + (sqrt(171) + 0)*1. 3 + 2*sqrt(19) Simplify ((-1*sqrt(1300) - (sqrt(13) + 0 + sqrt(52)))*-4 + 3 + -2*sqrt(1573) + -1)**2. 120*sqrt(13) + 11704 Simplify (6*sqrt(12)/sqrt(4)*3 + (sqrt(1728) - (-1*sqrt(1728) + sqrt(1728) - sqrt(1728)))/sqrt(9))**2. 3
{ "pile_set_name": "DM Mathematics" }
4 = -504. What is the units digit of s? 1 Suppose o - 8 = -4*p + 5, 2*o = 10. Suppose p*v - 12 = -v. Suppose -676 = -v*y - 3*j + j, -2*j = 3*y - 505. What is the units digit of y? 1 Let q be (-224)/(-20) - 7/35. Let l(x) = -2 + 27*x**3 + q*x**2 + 12*x**2 - 20*x**2 - x. What is the tens digit of l(2)? 2 Let s = -89 + 354. Suppose 4*x = s + 215. What is the units digit of (x/28)/(6/42)? 0 Let w(i) = -2*i + 2. Let y be w(3). Let j be y/(-7) - (-12)/28. What is the units digit of j*(-1 - 7)*533/(-52)? 2 Suppose -5*y + 31633 = -4*w, 6*y + 2*w = 2*y + 25322. What is the hundreds digit of y? 3 Suppose -5 + 7 = -z. Let y(j) = -40*j**3 + j**2 - 2*j - 2. Let i be y(z). Suppose -47 = 3*m - i. What is the tens digit of m? 9 Suppose 30*q - 163142 = -13*q + 576501. What is the hundreds digit of q? 2 Let q be -2 + ((-24)/(-6) - 0). Let k(y) = 2*y**2 + 2*y - 4. Let i be k(9). Suppose q*g - 6*l - 100 = -l, 4*g - i = -2*l. What is the units digit of g? 5 Let v be (2/(-3) - 0) + (-150)/45. Let a be (200/15 + v)*(5 - -1). Let x = 69 - a. What is the units digit of x? 3 Let q = -796 + 852. Suppose 0 = -t - 51*a + q*a + 1218, a + 3682 = 3*t. What is the units digit of t? 8 Suppose -4*y - 3*p - 8 = -25, 3*p = 9. Let k = 428 + -392. Suppose r + y*r - k = 0. What is the tens digit of r? 1 Let w(g) = 2*g + 259. Let s = 68 - 68. Let l be w(s). Suppose -371 - l = -5*n. What is the hundreds digit of n? 1 Let l(a) = 11*a - 43. Let x be l(5). Suppose -x*w + 9*w = -360. Let d = w + -16. What is the tens digit of d? 0 Let h(j) be the second derivative of -2*j**5/15 + 19*j**4/12 - 5*j**3/2 - 14*j. Let w(f) be the second derivative of h(f). What is the tens digit of w(-6)? 3 Suppose -11934 = -13*b - 3990 + 5550. What is the units digit of b? 8 Let x(w) be the second derivative of w**3/2 - 19*w**2/2 + 7*w. Let l be x(5). What is the hundreds digit of 4*(l/26 + 1512/26)? 2 Let x(w) = 456*w**3 + 32*w - 93. What is the ten thousands digit of x(3)? 1 Suppose 3*w - 3*f - 5592 = 0, 156*w + 1852 = 157*w + 5*f. What is the hundreds digit of w? 8 Let p = 12554 - 4684. What is the tens digit of p? 7 Let y(u) = -2*u**2 + 10*u + 7. Let g be y(5). Let p be ((-4)/g)/(3/(-21)). What is the units digit of (24/(-5))/((-38)/2185) + p? 0 Let p(r) = -r**3 + 3*r**2 + 2*r + 25. Let b be p(5). What is the tens digit of 1/(b/(-10))*96/1? 6 Let a be (21/(-2))/(9/(-12)). Let p be (455/(-9))/(-5) - (-18)/(-162). Suppose 0 = a*l - p*l - 692. What is the hundreds digit of l? 1 What is the thousands digit of 0 + 8505 + 40/(-5)? 8 Suppose 3*m = 4*x + 2 + 14, 4*m - 2*x - 28 = 0. What is the tens digit of -1*(m/(-2) - -4) - -48? 4 Suppose -3*j - 74*n + 70*n = -1450, 5*n + 25 = 0. What is the units digit of j? 0 Suppose 0 = 4*a - 36 + 16. Suppose 3*z + 316 = -a*s - 0*z, -z - 192 = 3*s. Let w = s + 87. What is the units digit of w? 2 What is the thousands digit of 3047 - (-4 + 21 + -5)? 3 Let s(g) = -9*g**2 + 9*g - 9. Let y = -20 + 11. Let c(o) = 19*o**2 - 18*o + 17. Let h(d) = y*s(d) - 4*c(d). What is the tens digit of h(4)? 5 Let a(k) be the second derivative of 17*k**4/3 + k**3/3 - 3*k**2/2 + 30*k. Let z be ((-1)/(-2) + -1)/(33/(-132)). What is the units digit of a(z)? 3 Let p be -2*(-136 + 4/4). What is the tens digit of p/(-50)*860/(-6)? 7 Let h = 232 - 220. Suppose h*a = 1403 + 841. What is the hundreds digit of a? 1 Let f(x) = -x**3 - 18*x**2 + 9*x + 49. Suppose -2*j - 4*y - 34 = 0, -y + 1 = -0*y. What is the units digit of f(j)? 9 Let t(n) be the third derivative of -n**5/60 - 19*n**4/12 - 2*n**3 - 11*n**2. What is the hundreds digit of t(-22)? 3 Let z(b) = 53*b - 71*b + 905 - 19*b. What is the tens digit of z(0)? 0 Suppose -3*h + n + 8 = 0, -2*h - 2 = -0*h + 3*n. Suppose -5 = -h*b - 1. Suppose b*z - 149 = 193. What is the tens digit of z? 7 Let m = -252 + 260. Suppose -m*g + 5483 + 373 = 0. What is the units digit of g? 2 Suppose l - 10*i - 650 = -14*i, -5*l + i + 3229 = 0. Let k = 1712 - l. What is the thousands digit of k? 1 Let i be 12/16 - 621/(-4). Let u be (-6)/8*(-10 - (-6)/9). What is the tens digit of 5 - u - (-1 - i)? 5 Let p(b) = -5*b**2 - 251*b - 28. Let f be p(-37). Suppose f = 8*o - 1818. What is the units digit of o? 9 Let z = 160 - 157. Suppose -z*f = -t - 386, 3*t + 2 = 5*t. What is the hundreds digit of f? 1 Let n(x) = x**3 - 8*x**2 - 9*x + 5. Let d(a) = 2*a - 43. Let c be d(26). Let t be n(c). Suppose 345 = -t*p + 10*p. What is the units digit of p? 9 What is the units digit of -9620*(-12 - (-423)/36)? 5 Suppose 20*q = 78*q - 1697312. What is the tens digit of q? 6 Let u be ((-3)/(45/(-12)))/(12/(-60)). What is the units digit of -4 + (-334)/u - 3/6? 9 Let m = -72 + 72. Suppose 4*i = 5*x - m*x - 21, -3*i = 3*x + 9. What is the units digit of 25*(-12 + 15 - (-3)/x)? 0 Suppose 0 = 6*k - 24 - 12. Let a(x) = 38*x - 28. What is the tens digit of a(k)? 0 What is the tens digit of (21 + 428645)*2/20 + 14/35? 6 Let x(h) = 718*h + 22. Let v be x(11). Suppose -16*f - 2*f + v = 0. What is the units digit of f? 0 Suppose -238*b + 239*b = 1. What is the units digit of (-4)/2 - (-108 + b)? 5 Let m(z) = 3*z**2 + 6*z + 3. Let t be m(-2). Suppose t*b - b + g - 716 = 0, -4*b + 1432 = 4*g. What is the units digit of b? 8 Suppose -5*w + 5 = 0, 0 = -2*x + 5*x + w - 19. Let k be (4/x)/((-54)/(-405)). Suppose -2*d - k*p = -124, 12 - 2 = 5*p. What is the units digit of d? 7 Let l(k) = 5*k**2 - 10 + 38 - 15*k**2 - 10*k**2 - k**3 + 7*k. What is the tens digit of l(-22)? 4 Let k be 4 + -1 + 12 + -13. Let c be ((12/1)/k)/(4/(-14)). What is the units digit of c - -20 - 12*-3? 5 Let u = 45 + -45. Suppose u = x - 178 + 41. Let w = x + -1. What is the tens digit of w? 3 Let x be (2 + (-944)/10)*150/20. Let w = x - -1960. What is the tens digit of w? 6 Let c = 28221 - 14785. What is the ten thousands digit of c? 1 Suppose 11*w + 4420 = -9*w. What is the tens digit of (w/(-4))/(150/24 - 6)? 2 Let m = 9031 - -24400. What is the ten thousands digit of m? 3 Let k be 2/((-3 - -2)*-1). Suppose -k*c - 8 = 0, 7*c - 2804 = -3*r + 6*c. What is the hundreds digit of r? 9 Suppose 3*m = 2*t - 45917 - 43855, t = -4*m + 44919. What is the hundreds digit of t? 8 Let q be 0/((8/10)/((-22)/(-55))). Suppose q = 151*l - 153*l + 410. What is the tens digit of l? 0 Suppose 0 = -5*g - 5*q + 75905, 6*g - 24*q + 22*q = 91142. What is the units digit of g? 8 Suppose n - y + 6*y = 9553, n - 9577 = 3*y. What is the units digit of n? 8 Suppose 6*z - z - 3330 = 0. Let c = -439 + z. What is the tens digit of c? 2 Let i(p) = p**3 + 8*p**2 + 4. Let s be i(-8). Suppose -2*o - s*y + 794 = 0, 4*o - 5*o = -4*y - 421. What is the units digit of o? 5 Suppose -52 = 5*o - 2*r, -o = -5*o + 5*r - 45. Let h be (-160)/(((-4)/o)/(-2)). Suppose 4*u + h = 12*u. What is the units digit of u? 0 Let g = -10491 - -12520. What is the hundreds digit of g? 0 Suppose 0 = -22*s - s + 52555. Suppose -26*r + s = -21*r. What is the units digit of r? 7 Let q(t) = 4*t**2 + 57*t - 3548. What is the ten thousands digit of q(-113)? 4 Suppose 3*o = -2*s + 37, -o - 3*s - 2 + 5 = 0. Let k = o + 94. What is the units digit of k? 9 Let h be 1 + 1662 + -1*(-3 - -2). Suppose -l = -4*x - 232, -4*x = -5*l - 568 + h. What is the hundreds digit of l? 2 Suppose 5*s = 3*h + 117791, 2*s + 5*h - 27418 = 19655. What is the thousands digit of s? 3 Suppose -u + 4*k + 45 = 0, k - 40 = -2*u + 14. What is the hundreds digit of 174/u*(-118)/(-6)? 1 Let f = 28 - -13. Suppose -s - 56 = n, n + f = -5*s + s. Let l = 137 + n. What is the units digit of l? 6 Let a be (-265)/(-10) - 2/4. Let m = a - 23. Suppose 128 + 40 = m*d. What is the tens digit of d? 5 Suppose -145*m + 139*m + 30048 = 0. What is the hundreds digit of m? 0 Let k(w) = 2*w**3 + 2*w**2 + 37*w + 36. What is the units digit of k(19)? 9 Suppose 0 = 3*y + 5*r - 340, -6*y + y - 2*r = -573. Let f be 27/21 + (y/(-35) - -3). What is the units digit of 1*f/1*-1*-128? 8 Let g be (-3)/7 - (-6)/(210/85). Suppose 138 = g*s + 34. Suppose -56*f + s*f = -224. What is the tens digit of f? 5 Let f = -11574 - -31678. What is the units digit of f? 4 Let i be -1*1/(6 + -5). Let m be (310/(-30))/(i/(-3)). Let x(q) = q + 52. What is the units digit of x(m)? 1 Let n(w) = -26*w + 30. Let k be n(21). Let z = k - -956. What is the hundreds digit of z? 4 Let x be (
{ "pile_set_name": "DM Mathematics" }
3. Give t*b(z) - d(z). z + 3 Let d = -23 + 55. Let u = d + -29. Let s(p) = -8*p**3 + 4 - 6 + 9*p**u. Let i(v) = 3*v**3 - 5. Calculate -4*i(f) + 10*s(f). -2*f**3 Let x(g) = 2*g**2 + 402*g - 6. Let k(q) = 8*q**2 + 1206*q - 20. Give -2*k(i) + 7*x(i). -2*i**2 + 402*i - 2 Let m(s) = 2*s**3 - 5*s**2 - 5*s - 5. Let j = 7587 - 7582. Let v(q) = -2*q**3 + 6*q**2 + 5*q + 6. Give j*v(a) + 6*m(a). 2*a**3 - 5*a Suppose 0 = 2094*b - 2078*b + 80. Let k(q) = -5*q**2 - 5*q - 6. Let n(g) = 2*g**2 - 2*g**2 + 6*g**2 + 7 - g + 7*g. Give b*k(x) - 4*n(x). x**2 + x + 2 Let u(o) = 391*o**2 - 442*o - 34. Let q(x) = -13*x - 1. Calculate 102*q(s) - 3*u(s). -1173*s**2 Let x(y) = 1862*y - 20. Let f(o) = -1241*o + 14. What is 7*f(i) + 5*x(i)? 623*i - 2 Let i(u) = 3*u**2 - 5*u - 3. Suppose -208*o - 40 = -218*o. Let y(g) = -7*g**2 + 11*g + 6. Determine o*y(m) + 9*i(m). -m**2 - m - 3 Let f(x) = 146*x - 10. Let g(v) = -140*v + 11. Calculate 4*f(a) + 5*g(a). -116*a + 15 Let x(c) = -4*c**3 + 14 - c**3 + 3*c**3 + 0*c**3 + c**3. Let a be (-4)/(((-1)/(-1))/1). Let f(r) = -5. Determine a*x(i) - 11*f(i). 4*i**3 - 1 Let b(v) = v**2 - 8*v - 14. Let i(m) = 3*m + 5. Suppose -5*x - 530 = -5*c, 2*x = -3*x - 20. Let y = c - 99. What is y*b(q) + 8*i(q)? 3*q**2 - 2 Let n(p) = p - 1. Let m(u) = 83*u + 90*u + 6 - 249*u + 74*u. What is m(v) + 4*n(v)? 2*v + 2 Let j(k) = 10*k**3 + k**2 - 1. Let b(m) = m**2 - 1. Let v(h) = -h - 4. Let c be v(-7). Suppose 7 = c*y - g, 4*y + 6*g = 2*g - 12. What is y*j(p) - b(p)? 10*p**3 Let b(w) = -35*w - 7. Let j(d) = -58*d - 12. Let t(p) = -5*b(p) + 3*j(p). Let c(l) = -18*l + 15. Determine 2*c(h) + 30*t(h). -6*h Let a(u) = -3*u**2 + 2*u + 4. Let g(c) = 3*c**2 - c - 3. Let f be 9 - ((-4)/8)/((-14)/140). Calculate f*g(k) + 3*a(k). 3*k**2 + 2*k Let f = 206 - 201. Suppose -16 = -f*y - 11. Let j(r) = -2*r**2 - 3*r - 3. Let x(u) = 2 - 3 - u + 0. Give y*j(l) - x(l). -2*l**2 - 2*l - 2 Let x(s) = -4*s**2 + 4*s - 4. Let g = -204 - -203. Let a(h) = h**3 - h**2 + h - 1. Let q = 36 - 50. Let o = -10 - q. Give g*x(y) + o*a(y). 4*y**3 Let d(c) = 8*c + 35. Let r(p) = -2*p - 13. Calculate -3*d(t) - 13*r(t). 2*t + 64 Let m(r) = 6*r**3 + 3*r + 105. Let h(q) = 3*q**3 + q + 52. What is -13*h(g) + 6*m(g)? -3*g**3 + 5*g - 46 Suppose 3*f = -4*s, -3*f - f = s + 13. Let g(w) = 3 + 13 + 7 + s*w. Let a(y) = -y - 8. Let i(j) = j + 8. Let v(o) = -4*a(o) - 3*i(o). What is 6*g(u) - 17*v(u)? u + 2 Let j(f) = 4267*f**3 - 4*f**2 - 4*f + 4. Let t(x) = 4266*x**3 - 5*x**2 - 5*x + 5. Determine 5*j(l) - 4*t(l). 4271*l**3 Let t(w) = -4*w + 1 - 9 + 4*w**3 + 13. Let b(z) = 24*z**3 - 20*z + 33. Let i(h) = -16*h**3 + 13*h - 22. Let v(y) = -5*b(y) - 7*i(y). Calculate -9*t(g) - 4*v(g). -4*g**3 - 1 Let i be ((-4)/(-6) - -7*6/(-63)) + 6. Let u(q) = -q**2 + 6*q - 13. Let t(w) = w - 1. Give i*t(h) - u(h). h**2 + 7 Let d(r) = -2*r**2 + 5*r. Let o(n) = -131*n - 4*n**2 + 272*n - 132*n. Determine -5*d(k) + 2*o(k). 2*k**2 - 7*k Let u(b) = 28*b - 1. Let f(n) = -1073*n - 7. Determine -f(m) + 6*u(m). 1241*m + 1 Let w(b) = b**3 - 2*b**2 - b - 2. Let g(v) = -11*v**3 + 6*v**2 + 4*v + 8. Calculate -g(l) - 4*w(l). 7*l**3 + 2*l**2 Let s(k) = 375*k**3 - 3*k**2 - 10*k + 5. Let i(m) = -5*m**3 + 2*m - 1. What is 5*i(l) + s(l)? 350*l**3 - 3*l**2 Let d(g) = 7*g**2 + 6*g. Let k(j) = -45*j - 174. Let v be k(-4). Let n(c) = -17*c + 364238 - 20*c**2 - 364238. Calculate v*n(o) + 17*d(o). -o**2 Let s(k) = 2*k**2 + 167*k + 11. Let v(t) = t**2 + 79*t + 6. What is 4*s(o) - 7*v(o)? o**2 + 115*o + 2 Let k(h) = -17*h**2 + 5*h - 9. Let f(s) = -2*s**2 - 3*s - 3. Let b(i) = 18*i**2 + 38*i + 33. Let r(q) = b(q) + 12*f(q). What is 4*k(u) - 11*r(u)? -2*u**2 - 2*u - 3 Let j be 18 - 323/(-102)*-6. Let s(k) = -k**3 + k + 1. Let q(o) = 5*o**3 - o - 2. Calculate j*q(p) - 2*s(p). -3*p**3 - p Let v(m) = -3105*m**2 + m - 3. Let b(w) = 3105*w**2 + 2. Calculate 3*b(l) + 2*v(l). 3105*l**2 + 2*l Let c(z) = -3*z**3 + 5*z**2 - 10*z - 6. Let n(m) = -m**3 - m**2 + 3*m + 2. Determine -c(h) - 2*n(h). 5*h**3 - 3*h**2 + 4*h + 2 Let w(r) = 4637*r + 3. Let q(d) = 4637*d + 2. Give 3*q(b) - 2*w(b). 4637*b Let l(y) = -3*y + 5. Let g(t) be the second derivative of 7*t**3/6 - 9*t**2/2 - 5761*t + 1. Give 4*g(i) + 7*l(i). 7*i - 1 Let x(z) = 6*z - 2. Suppose 0 = 4*k - 114 - 18. Let r be 11/3 + (-22)/k. Let f be 20/8*(r + 1) + -2. Let j(s) = -4*s + 1. Determine f*j(u) + 5*x(u). -2*u - 2 Let r(w) = 1178*w + 72. Let v(y) = 1177*y + 58. Give 4*r(j) - 5*v(j). -1173*j - 2 Let s(g) = -45*g**2 + 35*g. Let l(u) be the second derivative of -5*u**4/12 + 2*u**3/3 - 3*u + 63. Give -35*l(r) + 4*s(r). -5*r**2 Let g(w) = -7. Let u(x) = -2*x + 30. Let r(d) = -9*g(d) - 2*u(d). Let n(a) = -8*a + 1. Let k(p) = -p + 1. Let y(o) = -5*k(o) + n(o). Give 4*r(s) + 3*y(s). 7*s Let c(g) = -7*g. Let p be (-88)/66*(3 - 0/3). Let h(r) = 6 - 8*r - 2 - 4. Give p*h(z) + 6*c(z). -10*z Let q be 0 + (-1)/9 - (-210)/(-54). Let h(f) = 2*f - f + 0*f + 3 - 2*f. Let v(b) = -4. Suppose k - 3*w - 12 = 0, 11 = 2*k + k - 4*w. Determine k*v(z) + q*h(z). 4*z Let d(s) = 3*s**2 + 2*s + 2. Let v(t) be the second derivative of 29*t + 0 - 11/6*t**3 - 11/2*t**2 - 7/6*t**4. What is 11*d(j) + 2*v(j)? 5*j**2 Let d(i) = -3*i - 2. Let p = 741 + -737. Let t be 2/6 - 4/3. Let a(j) = -j - 1. Calculate p*a(y) + t*d(y). -y - 2 Let m(n) = -8*n - 3*n + 2*n**3 + 0*n**2 + 3*n**2. Let z(a) be the first derivative of -a**4/4 - a**3/3 + 2*a**2 - 22376. Determine -4*m(i) - 11*z(i). 3*i**3 - i**2 Let r(v) = 13*v - 233. Let x(t) = 15*t - 230. Give -6*r(u) + 5*x(u). -3*u + 248 Let q(t) = -2 - 3*t - 129*t**2 + 190*t**2 + t - 76*t**2. Let g(s) = -1139*s**2 - 153*s - 153. Calculate 2*g(f) - 153*q(f). 17*f**2 Let o(q) = 33*q**2 + 97*q + 24. Let v(r) = 16*r**2 + 44*r + 10. Calculate 3*o(c) - 7*v(c). -13*c**2 - 17*c + 2 Let u(q) = q**2 + q. Let o(c) = 19*c**2 - 16*c - 16. Let g(m) = -12*m**2 + 10*m + 10. Let s(h) = -8*g(h) - 5*o(h). Calculate 5*s(j) - 4*u(j). j**2 - 4*j Let f(o) = -9*o**2 - o - 210. Let h(w) = -10*w**2 - w - 175. Determine 6*f(g) - 5*h(g). -4*g**2 - g - 385 Let s(k) = -k - 72 + 35 + 38. Let b(c) = -447*c - 1134. Let g(r) = 28*r + 68. Let z(p) = 2*b(p) + 33*g(p). Let m be 0 + 0 + 1 + 0. Determine m*z(d) + 24*s(d). 6*d Let a(i) = -i**2 + 93*i - 448. Let n be a(5). Let w(x) = 11*x + 8. Let g(j) = -17*j - 12. Calculate n*w(l) - 5*g(l). -3*l - 4 Let m(l) = 0*l - 3*l - 1 + l + 3. Let y be m(2). Let j(n) = -n + 1. Let s(r) = -4*r - 2. What is y*j(k) + s(k)? -2*k - 4 Let t(w) = 19*w**2 - 2. Suppose -4*u = 5*s + 18, -4*s - 33 = -3*s + 5*u. Let n(i) = 455*i**2 - 49. Calculate s*n(o) - 49*t(o). -21*o**2 Let x(j) = -2*j**2 - 10*j. Let z(b) = 643*b**2 - 9*b - 1. Calculate -x(g) + z(g). 645*g**2 + g - 1 Let s be (57/38)/(3/6). Let y(t) = -4*t**3 - 3*t - 7. Let f(n) = 6 - 2098*n**3 + 2*n + 2101*n**3 + 0*n. Determine s*f(z) + 2*y(z). z**3 + 4 Let j(x) = x**2 + x + 23 - 3 + 4 - 4 - 7. Let h(s) = s**2 - s. Give -h(a) - j(a). -2*a**2 - 13 Let o(c) = 7*c - 201. Let v(d) = -8*d + 208. Determine -6*o(k) - 5*v(k). -2*k + 166 Let k(r) = 20*r - 7. Let c(x) = 887*x + 845*x - 1739*x + 2. Calculate -7*c(n) - 2*k(n). 9*n Let i(n) = -68*n - 2457. Let c(x) = -82*x - 2462. Determine -5*c(p) + 6*i(p). 2*p - 2432 Let t(l) = 15*l**3 - 11*l - 7. Let u(x) = 8*x**3 - 6*x - 4. Suppose 9012*m - 9026*m = 154. Suppose 2*p - 18 = -p. Calculate m*u(s) + p*t(s). 2*s**3 + 2 Let b(u) = -104*u + 48. Let s be ((-294)/15)/(2/5). Let x be (s/147)/(2/(-30)). Let v(j) = 11*j - 5. Give x*b(l) + 48*v(l). 8*l Let z(r) = -84*r - 926. Let h(k) = -21*k - 224. What is -17*h(j) + 4*z(j)? 21*j + 104 Let n(p) = 36*p - 76. Let d(l) = 3*l - 4. What is 7*d(v) - n(v)? -15*v + 48 Let h(w) = -1513*w**3 - 4*w + 0 - 8 + 1508*w**3. Let d(i) = 3*i**3 - 7 - 8*i**3 - 3*i + 0*i**3 + i**3. Give -4*d(g) + 3*h(g). g**3 + 4 Let o(n) = -7*n**3 + 7*n + 5. Let a be -20 - ((-3)/(-12))/(44/(-1232)). Let w(s) = -15*s**3 + 14*s + 11. What is a*o(x) + 6*w(x)? x**3 - 7*x + 1 Let g(o) = -15*o - 4*o**2 + 7*o + 5*o**2 + 5. Let u be 300/(-270)*(-18)/(-5). Let j(k) = -k**2 + 9*k - 6. Calculate u*j(b) - 5*g(b). -b**2 + 4*b - 1 Let r(a) = -a**3 - a**2 + a - 17. Let q(d) = -40*d**3 + 2*d**2 - 48*d + 34. Determine q(l) + 2*r(l). -42*l**3 - 46*l Let u(t) = -t - 18. Let y(q) = -3*q - 212. Determine -5*u(o) - y(o). 8*o + 302 Let b(i) = -5
{ "pile_set_name": "DM Mathematics" }
*g = 35*g - 20 for g. -5 Solve -8*u + 10 = -13*u for u. -2 Solve 9*z - 25 = -7 for z. 2 Solve -19*v - 20 = -14*v for v. -4 Solve 0 = 57*d - 59*d - 10 for d. -5 Solve 83 - 62 = -21*j for j. -1 Solve 0 = 17*m + 12 - 97 for m. 5 Solve 12 = 52*q - 49*q for q. 4 Solve -135 = 23*j + 49 for j. -8 Solve -15*g + 15 = -0*g for g. 1 Solve 221*h = 268*h - 188 for h. 4 Solve 4*j = -10*j + 24*j for j. 0 Solve 40 = 25*s - 33*s for s. -5 Solve 62 = -6*h + 32 for h. -5 Solve 6*z = -4 - 26 for z. -5 Solve 0 = 3*x + 965 - 983 for x. 6 Solve 0 = 373*q - 367*q + 18 for q. -3 Solve -6 = -2*l - 0 for l. 3 Solve -39*l + 36*l = 24 for l. -8 Solve -131*a + 156*a - 25 = 0 for a. 1 Solve 0 = -22*s - 277 + 211 for s. -3 Solve -37*u + 32*u = 0 for u. 0 Solve 0 = -3*w + 88 - 103 for w. -5 Solve 0 = -4*x + 26 - 22 for x. 1 Solve 242 = -4*i + 258 for i. 4 Solve 9*x = 36 + 9 for x. 5 Solve -5*x + 47 = 37 for x. 2 Solve -15*p - 174 + 9 = 0 for p. -11 Solve -1987 + 1879 = 12*v for v. -9 Solve -110 = -2*f - 114 for f. -2 Solve -4*t = 4*t + t for t. 0 Solve -11 = 3*z + 1 for z. -4 Solve 38*g - 26*g = -84 for g. -7 Solve 0*i = -11*i + 22 for i. 2 Solve 18*g + 60 = 6*g for g. -5 Solve 1220 = 8*d + 1188 for d. 4 Solve 56 = 22*k - 54 for k. 5 Solve 0 = -9*c + 10*c - 4 for c. 4 Solve 111*n = 758 + 19 for n. 7 Solve -11*k + 28 = 3*k for k. 2 Solve -68*l + 35*l - 297 = 0 for l. -9 Solve 17*u - 4*u = 13 for u. 1 Solve 0*q = 4*q - 16 for q. 4 Solve 29*o = -54*o + 83 for o. 1 Solve 0*f = -6*f + f for f. 0 Solve 31*w = 50*w + 114 for w. -6 Solve 26*g + 37 + 119 = 0 for g. -6 Solve 0 = 10*j + 706 - 706 for j. 0 Solve -34 = -8*x - 66 for x. -4 Solve 93*a + 176 = 5*a for a. -2 Solve 0 = -304*g + 319*g - 30 for g. 2 Solve 4 = 3*u - u for u. 2 Solve 9*r - 16 = -52 for r. -4 Solve 6*p - 16 = 2 for p. 3 Solve 0 = 9*s - 3*s + s for s. 0 Solve -651 + 633 = 18*a for a. -1 Solve -926*r - 18 = -932*r for r. 3 Solve 5*x + 0*x = -10 for x. -2 Solve -p - 5*p = -30 for p. 5 Solve 9*o + 27 = 18*o for o. 3 Solve 0 = 6*o - 3*o - 6 for o. 2 Solve -58*u + 62*u = 16 for u. 4 Solve 44*p - 43*p = 2 for p. 2 Solve 10 = -5*g + 15 for g. 1 Solve 30 = 18*i - 24 for i. 3 Solve -z + 9 - 6 = 0 for z. 3 Solve 18*s + 50 = -4 for s. -3 Solve 50 + 4 = -18*b for b. -3 Solve 6*p + 16 = 10 for p. -1 Solve -51 = -12*r + 9 for r. 5 Solve -b = 2 + 1 for b. -3 Solve -208*o + 206*o = -10 for o. 5 Solve -3 = -47*v + 50*v for v. -1 Solve 0 = 8*f - 2 + 10 for f. -1 Solve 0 = -31*j + 25*j + 18 for j. 3 Solve 3*t = 17 - 5 for t. 4 Solve 5*b = 9*b + 8 for b. -2 Solve -6 = -0*u + 3*u for u. -2 Solve -41*k + 210 = -11*k for k. 7 Solve -36 = -4*m - 28 for m. 2 Solve -30*l = -27*l + 9 for l. -3 Solve 15 = 34*h + 49 for h. -1 Solve -8 - 16 = 6*x for x. -4 Solve -8 = -119*n + 115*n for n. 2 Solve 5*i = -5*i for i. 0 Solve -160*h - 21 = -153*h for h. -3 Solve -3*g - 137 + 119 = 0 for g. -6 Solve -4*a = 1310 - 1342 for a. 8 Solve 9*v + 52 - 7 = 0 for v. -5 Solve -3*l = l for l. 0 Solve 12 = 5*w + 27 for w. -3 Solve 14*i + 12 + 16 = 0 for i. -2 Solve -11*t + 42 = -25*t for t. -3 Solve -45 = 21*i - 6*i for i. -3 Solve 58*n = 79*n + 21 for n. -1 Solve -214 - 45 = 37*m for m. -7 Solve -a + 11 = 12 for a. -1 Solve 21*m + 30 = 15*m for m. -5 Solve 0 = -15*r + 4*r + 77 for r. 7 Solve 0 = -18*j + 91 - 55 for j. 2 Solve -17*y - 7*y = -72 for y. 3 Solve 14 + 19 = 33*i for i. 1 Solve -4*s - 65 + 81 = 0 for s. 4 Solve 104 = 191*n - 204*n for n. -8 Solve 298 - 226 = 9*d for d. 8 Solve 10 = y - 3*y for y. -5 Solve -306 = 64*j - 30*j for j. -9 Solve -11*m - 104 + 27 = 0 for m. -7 Solve -24*r + 8 = -22*r for r. 4 Solve -3*y + 2 = -2*y for y. 2 Solve -10 = 8*o - 34 for o. 3 Solve -2443*x = -2429*x + 126 for x. -9 Solve 8*c = 14 - 6 for c. 1 Solve -2*i + 5*i = -12 for i. -4 Solve 8 = -h + 5 for h. -3 Solve -3*w - 57 = -39 for w. -6 Solve 24 = -6*h + 6 for h. -3 Solve 0 = -3*h + 10 + 5 for h. 5 Solve 27 = -13*t + 22*t for t. 3 Solve 0 = -47*z - 115 - 26 for z. -3 Solve 25 + 3 = -28*r for r. -1 Solve -16*f + 1 + 79 = 0 for f. 5 Solve 5*i = -215 + 190 for i. -5 Solve -6 = b + 2*b for b. -2 Solve 116 - 98 = 6*p for p. 3 Solve 0 = 4*d + 4 + 16 for d. -5 Solve -4 = 11*r - 37 for r. 3 Solve 6*i - 2024 + 2006 = 0 for i. 3 Solve -79*u = -9*u - 770 for u. 11 Solve 2*q - 2*q = q for q. 0 Solve -54*k + 57*k - 15 = 0 for k. 5 Solve 373 = 3*t + 370 for t. 1 Solve 57*q - 66*q - 72 = 0 for q. -8 Solve -2*d + 10*d = 40 for d. 5 Solve -290*o = -366*o - 228 for o. -3 Solve -243*q + 245*q + 12 = 0 for q. -6 Solve -34*m + 8*m = -182 for m. 7 Solve 0 = -2*c - 0*c + 8 for c. 4 Solve 16 - 20 = -4*w for w. 1 Solve -1068*b = -1077*b - 45 for b. -5 Solve 0 = 13*q - 9*q + 4 for q. -1 Solve -16 = 12*t - 16*t for t. 4 Solve -2*o + 45 = -17*o for o. -3 Solve -15 = 14*k + 27 for k. -3 Solve 59*j - 83*j - 48 = 0 for j. -2 Solve 350*v + 50 = 375*v for v. 2 Solve 44*d - 46*d + 4 = 0 for d. 2 Solve 34*t + 2 = 70 for t. 2 Solve 0 = -32*y + 33*y + 1 for y. -1 Solve -3*t + 83 = 80 for t. 1 Solve 2*m - m = -5 for m. -5 Solve -3 = 180*v - 177*v for v. -1 Solve -25*t + 36*t = 99 for t. 9 Solve 198*w - 202*w - 28 = 0 for w. -7 Solve 2*s + 5 - 19 = 0 for s. 7 Solve 0*b - 8 = -2*b for b. 4 Solve -25 = 6*k - 43 for k. 3 Solve 52*v - 7 + 475 = 0 for v. -9 Solve 6 = -m + 1 for m. -5 Solve 0 = 7*m + 16 - 44 for m. 4 Solve -17*m + 160 = 23*m for m. 4 Solve 6*u + 0*u = 6 for u. 1 Solve 9 - 3 = 2*f for f. 3 Solve 4 = -5*h + 6*h for h. 4 Solve -1362*z + 52 = -1375*z for z. -4 Solve -31*c = -72*c for c. 0 Solve -12 = 23*w - 19*w for w. -3 Solve 3*c - 8*c + 10 = 0 for c. 2 Solve 5*r - 18 + 38 = 0 for r. -4 Solve -2*i - 4*i - 12 = 0 for i. -2 Solve 8 = -8*c - 0*c for c. -1 Solve -12*f = -10*f + 10 for f. -5 Solve 79*k = 82*k for k. 0 Solve -8*v - 1255 = -1231 for v. -3 Solve 18 - 156 = 23*b for b. -6 Solve -2*q = -q - 1 for q. 1 Solve 11 = 50*g + 61 for g. -1 Solve -y = -22*y - 105 for y. -5 Solve 49*d - 366 + 121 = 0 for d. 5 Solve -21*d = -29*d + 24 for d. 3 Solve 29*f - 31*f + 4 = 0 for f. 2 Solve -3*a + 42 = 33 for a. 3 Solve -22*t - 2 = -20*t for t. -1 Solve -5*u - 429 = -404 for u. -5 Solve 3*z = 9*z + 6 for z. -1 Solve 8*x = x + 7 for x. 1 Solve -7*i = 6*i + 13 for i. -1 Solve -19 = -d - 23 for d. -4 Solve 2*x + 16 = 18*x for x. 1 Solve -3*h - 17 = -38 for h. 7 Solve 15*i = 3*i + 72 for i. 6 Solve 3*s + 41 = 17 for s. -8 Solve -21*x - 1381 = -1591 for x. 10 Solve -14*x + 41 = 69 for x. -2 Solve 0 = 15*w - 19 + 4 for w. 1 Solve 38*h = -39*h + 539 for h. 7 Solve -26*c + 3 = -29*c for c. -1 Solve 0 = -6*m + 11*m for m. 0 Solve 5*u - 64 = -84 for u. -4 Solve 19*s - 25*s = 30 for s. -5 Solve 0 = 3*l - 9511 + 9538 for l. -9 Solve 185*a - 180*a - 10 = 0 for a. 2 Solve -11*r - 176 = -33*r for r. 8 Solve 0*d = -5*d for d. 0 Solve 7*i - 1 + 15 = 0 for i. -2 Solve 0 = -1022*i + 1014*i for i. 0 Solve -74*k = -73*k + 4 for k. -4 Solve 45*k = 26 + 244 for k. 6 Solve -17 = -12*y + 19 for y. 3 Solve 3*o = -5*o - 40 for o. -5 Solve 1796*d = 1786*d for d. 0 Solve -366*s = -381*s - 75 for s. -5 Solve 6*q - 8 + 38 = 0 for q. -5 Solve 44*o = -13*o - 114 for o. -2 Solve 5 - 2 = h for h. 3 Solve 6*f + 29 - 5 = 0 for f. -4 Solve 7*s = -3*s - 50 for s. -5 Solve 0 = -8*q + 9 + 23 for q. 4 Solve 1 - 2 = k for k. -1 Solve 0 = -69*i + 120 - 672 for i. -8 Solve 0 = 3*q + 1 + 2 for q. -1 Solve 0 = 5*l - 9*l + 16 for l. 4 Solve 5*k + k - k = 0 for k. 0 Solve 3*b = 6*b - 12 for b. 4 Solve -7*z + 24 = -4 for z. 4 Solve 8*u = -u - 27 for u. -3 Solve 5*y = 4 - 24 for y. -4 Solve -4*p = 5*p - 0*p for p. 0 Solve -111*o + 119*o + 32 = 0 for o. -4 Solve -o + o = -2*o for o. 0 Solve 7*f + 80 = 31 for f. -7 Solve 11*r - 19*r = 24 for r. -3 Solve 28 = 36*w - 22*w for w. 2 Solve -80*d = -76*d - 16 for d. 4 Solve 8 = -7*o - 6 for o. -2 Solve 3*f = -3*f - 30 for f. -5 Solve -8*i = -23*i for i. 0 Solve 24*m + 1108 - 1276 = 0 for m. 7 Solve 5*b - 2 = 6*b for b. -2 Solve 4 = -28*t + 26*t for t. -2 Solve -1145 = -n - 1135 for n. 10 Solve -12*a - 24*a = -216 for a. 6 Solve -27 = 8*q + 37 for q. -8 Solve 0 = -29*z + 40*z - 110 for z. 10 Solve -9 = -5*m + 2*m for m. 3 Solve 5*d - 80 = 13*d for d. -10 Solve -74*k + 70*k - 8 = 0 for k. -2 Solve 41*x - 30*x - 66 = 0 for x. 6 Solve -17*y = -13*y - 20 for y. 5 Solve -90 = q - 19*q for q. 5 Solve -11*s + 17 = -5 for
{ "pile_set_name": "DM Mathematics" }
is 0 (base 10) in base 9? 0 Convert 91 (base 11) to base 7. 202 Convert -22 (base 5) to base 13. -c -3 (base 5) to base 12 -3 -100 (base 2) to base 9 -4 -24 (base 7) to base 12 -16 -e2 (base 15) to base 9 -255 -100 (base 2) to base 16 -4 What is -10 (base 8) in base 10? -8 -312 (base 4) to base 16 -36 Convert 5 (base 6) to base 14. 5 10 (base 6) to base 9 6 What is -1 (base 10) in base 5? -1 Convert 14 (base 6) to base 11. a -58 (base 9) to base 4 -311 Convert -10000 (base 2) to base 9. -17 2 (base 10) to base 11 2 Convert -1110011 (base 2) to base 11. -a5 -23 (base 5) to base 11 -12 Convert 4 (base 16) to base 7. 4 8 (base 11) to base 15 8 What is 37 (base 12) in base 13? 34 7 (base 10) to base 12 7 What is 1 (base 8) in base 7? 1 What is -104 (base 5) in base 15? -1e What is -2d (base 16) in base 8? -55 What is 11 (base 3) in base 15? 4 What is -11 (base 2) in base 4? -3 10 (base 4) to base 14 4 Convert -12 (base 5) to base 8. -7 Convert 2 (base 12) to base 7. 2 Convert -212 (base 3) to base 9. -25 What is -4 (base 6) in base 5? -4 Convert 74 (base 10) to base 16. 4a Convert 7 (base 8) to base 9. 7 What is 22 (base 3) in base 14? 8 8 (base 13) to base 12 8 Convert -36 (base 13) to base 14. -33 Convert 0 (base 7) to base 8. 0 What is 1112 (base 3) in base 4? 221 Convert 41 (base 15) to base 7. 115 What is 29 (base 11) in base 8? 37 What is -2 (base 7) in base 2? -10 Convert -3 (base 10) to base 4. -3 What is -2 (base 13) in base 10? -2 What is -12 (base 12) in base 14? -10 What is -76 (base 12) in base 6? -230 What is -a (base 16) in base 3? -101 -1 (base 7) to base 13 -1 85 (base 14) to base 13 90 What is -234 (base 5) in base 9? -76 -7a (base 16) to base 9 -145 Convert 88 (base 16) to base 14. 9a Convert -10 (base 16) to base 2. -10000 -8 (base 14) to base 8 -10 What is 3322 (base 4) in base 13? 163 Convert -1 (base 11) to base 16. -1 Convert 111 (base 2) to base 12. 7 Convert 18 (base 12) to base 11. 19 What is -6 (base 10) in base 14? -6 312 (base 4) to base 16 36 Convert -19 (base 15) to base 4. -120 -101 (base 4) to base 12 -15 Convert -13 (base 7) to base 10. -10 1 (base 13) to base 6 1 Convert -1 (base 5) to base 4. -1 What is -120 (base 3) in base 15? -10 What is 331 (base 7) in base 13? 100 Convert 43 (base 6) to base 14. 1d What is 132 (base 7) in base 4? 1020 11011 (base 2) to base 14 1d What is -7 (base 15) in base 12? -7 What is 0 (base 13) in base 10? 0 What is 22 (base 3) in base 6? 12 Convert -5 (base 15) to base 5. -10 164 (base 11) to base 12 13b What is -1 (base 11) in base 8? -1 201 (base 6) to base 2 1001001 What is b (base 13) in base 16? b What is -1 (base 8) in base 9? -1 Convert -5 (base 8) to base 3. -12 What is -1 (base 13) in base 10? -1 Convert -70 (base 9) to base 12. -53 Convert -26 (base 10) to base 6. -42 0 (base 9) to base 10 0 Convert 11 (base 3) to base 15. 4 What is 20 (base 4) in base 9? 8 -91 (base 11) to base 13 -79 What is 1 (base 8) in base 5? 1 Convert -1 (base 5) to base 8. -1 -93 (base 14) to base 9 -153 -a (base 13) to base 3 -101 9 (base 10) to base 4 21 What is 222 (base 3) in base 10? 26 Convert 53 (base 13) to base 9. 75 Convert -23 (base 6) to base 4. -33 What is -1 (base 5) in base 3? -1 What is 1121 (base 3) in base 16? 2b What is 124 (base 7) in base 16? 43 Convert 30 (base 4) to base 6. 20 -22 (base 12) to base 13 -20 Convert 3 (base 5) to base 2. 11 Convert 16 (base 7) to base 12. 11 Convert 6 (base 15) to base 2. 110 -a (base 15) to base 9 -11 -25 (base 13) to base 8 -37 Convert 64 (base 12) to base 5. 301 -32 (base 8) to base 11 -24 What is 3 (base 13) in base 4? 3 -44 (base 10) to base 4 -230 What is 101 (base 2) in base 4? 11 What is 22 (base 3) in base 16? 8 Convert -a1 (base 12) to base 9. -144 What is 1 (base 4) in base 11? 1 4 (base 14) to base 15 4 -3 (base 16) to base 10 -3 2 (base 14) to base 12 2 10012 (base 3) to base 11 79 What is -3 (base 7) in base 9? -3 What is a6 (base 11) in base 10? 116 Convert -2003 (base 5) to base 14. -141 What is -2 (base 6) in base 5? -2 What is 303 (base 4) in base 14? 39 What is -11000 (base 2) in base 14? -1a 3 (base 10) to base 16 3 What is 3323 (base 4) in base 6? 1055 What is -e9 (base 16) in base 13? -14c What is 116 (base 7) in base 6? 142 1a (base 12) to base 4 112 -4 (base 13) to base 6 -4 4 (base 8) to base 11 4 What is 22 (base 5) in base 7? 15 What is 1331 (base 5) in base 3? 22000 What is a0 (base 12) in base 13? 93 Convert -25 (base 10) to base 5. -100 Convert 29 (base 13) to base 10. 35 Convert -3b (base 16) to base 9. -65 -11111000 (base 2) to base 16 -f8 Convert -4 (base 7) to base 10. -4 What is -4 (base 10) in base 8? -4 7 (base 9) to base 5 12 Convert 3 (base 16) to base 6. 3 Convert -111 (base 2) to base 4. -13 Convert 21 (base 5) to base 12. b 1 (base 10) to base 3 1 -1 (base 6) to base 5 -1 Convert 2022 (base 4) to base 9. 163 130 (base 5) to base 3 1111 -7 (base 11) to base 4 -13 Convert -2 (base 15) to base 6. -2 What is -2 (base 4) in base 3? -2 -23 (base 15) to base 16 -21 -320 (base 5) to base 2 -1010101 What is -6 (base 11) in base 3? -20 What is 80 (base 10) in base 6? 212 6 (base 11) to base 6 10 -6 (base 16) to base 10 -6 -6 (base 16) to base 8 -6 What is -10 (base 3) in base 4? -3 Convert -7 (base 14) to base 2. -111 Convert -4 (base 10) to base 6. -4 -42 (base 9) to base 7 -53 -22 (base 5) to base 9 -13 Convert 2122 (base 3) to base 13. 56 111111 (base 2) to base 3 2100 Convert -74 (base 10) to base 9. -82 What is -442 (base 5) in base 3? -11112 Convert 1 (base 15) to base 6. 1 Convert 33 (base 7) to base 12. 20 -c (base 16) to base 15 -c Convert 7 (base 10) to base 14. 7 Convert -4 (base 13) to base 7. -4 Convert -158 (base 15) to base 8. -464 Convert 6 (base 10) to base 4. 12 0 (base 13) to base 12 0 What is -1111 (base 5) in base 8? -234 What is 10 (base 9) in base 5? 14 -164 (base 9) to base 6 -351 -20 (base 14) to base 15 -1d Convert 3c (base 14) to base 9. 60 What is -2 (base 15) in base 6? -2 -14 (base 16) to base 4 -110 6 (base 9) to base 12 6 1111 (base 2) to base 4 33 Convert 13 (base 6) to base 5. 14 What is -1 (base 6) in base 10? -1 What is -28 (base 13) in base 9? -37 31 (base 8) to base 5 100 Convert 31 (base 11) to base 16. 22 -55 (base 15) to base 6 -212 3 (base 11) to base 14 3 100 (base 6) to base 9 40 What is -5 (base 16) in base 2? -101 -10 (base 2) to base 6 -2 Convert 48 (base 12) to base 7. 110 2 (base 6) to base 7 2 What is -8 (base 12) in base 2? -1000 Convert 81 (base 9) to base 15. 4d -13 (base 6) to base 8 -11 -2 (base 3) to base 11 -2 Convert 2 (base 15) to base 14. 2 Convert 12 (base 7) to base 12. 9 What is -3 (base 5) in base 4? -3 10 (base 2) to base 5 2 -14 (base 5) to base 4 -21 Convert 1 (base 4) to base 5. 1 What is 111 (base 2) in base 10? 7 7 (base 11) to base 13 7 What is -111 (base 2) in base 5? -12 122 (base 6) to base 16 32 What is 7 (base 12) in base 8? 7 What is -100100100 (base 2) in base 16? -124 Convert 1 (base 10) to base 7. 1 -4 (base 8) to base 3 -11 Convert -100 (base 3) to base 14. -9 27 (base 8) to base 12 1b What is -7 (base 10) in base 15? -7 Convert -12 (base 3) to base 4. -11 Convert 1 (base 4) to base 3. 1 What is 8c (base 15) in base 6? 340 Convert -3 (base 9) to base 6. -3 Convert -11002 (base 3) to base 5. -420 -13d (base 15) to base 11 -238 Convert -18 (base 10) to base 2. -10010 What is -231 (base 6) in base 9? -111 Convert 3 (base 16) to base 10. 3 What is 4 (base 5) in base 6? 4 -141 (base 6) to base 15 -41 What is 13 (base 5) in base 12? 8 10 (base 4) to base 11 4 1 (base 10) to base 13 1 6 (base 9) to base 12 6 Convert -5b (base 16) to base 5. -331 -48 (base 9) to base 8 -54 What is -222 (base 4) in base 7? -60 What is -1 (base 15) in base 14? -1 Convert -4 (base 13) to base 6. -4 Convert -6 (base 14) to base 6. -10 -1 (base 14) to base 12 -1 What is 41 (base 9) in base 13? 2b What is 10000 (base 2) in base 10? 16 What is -13 (base 4) in base 10? -7 5 (base 14) to base 8 5 Convert 14 (base 13) to base 15. 12 Convert -3 (base 16) to base 10. -3 -66 (base 10) to base 6 -150 Convert 30 (base 6) to base 11. 17 Convert 128 (base 9) to base 10. 107 What is 2 (base 13) in base 12? 2 Convert -1 (base 8) to base 12. -1 Convert 3 (base 12) to base
{ "pile_set_name": "DM Mathematics" }
12*d**j wrt d? -60*d**3 - 8*d Let p(n) be the first derivative of 163*n**5/5 - 2229*n**2/2 - 2018. Find the second derivative of p(d) wrt d. 1956*d**2 Let o(i) = i**2 + 410*i + 37146. Let z(t) = -69*t - 6192. Let k(v) = 4*o(v) + 25*z(v). Differentiate k(q) wrt q. 8*q - 85 What is the second derivative of 0 + 1547*n**5 - 5 + 9*n + 12 + 2 - 3 wrt n? 30940*n**3 Let z(q) = 10*q - 28. Let x be z(3). What is the third derivative of 10*p**3 - p**4 + x*p - 120 + 240 - 22*p**2 - 120 wrt p? -24*p + 60 What is the second derivative of 1 - 489*d**4 - 1902*d**3 - 68*d + 1902*d**3 wrt d? -5868*d**2 Let w(o) = 767*o**3 + o**2 - 6*o - 6109. Let v(c) = 1532*c**3 + 2*c**2 - 11*c - 12217. Let f(d) = -5*v(d) + 9*w(d). Differentiate f(u) wrt u. -2271*u**2 - 2*u + 1 Let p(r) be the third derivative of -3*r**7/70 - 17*r**5/15 + 1675*r**3/3 - 1603*r**2. Find the first derivative of p(o) wrt o. -36*o**3 - 136*o Let o = 429 + 416. What is the second derivative of -87*p - 845 + 92*p**3 + o wrt p? 552*p Let m(t) = -953*t**2 + 3203*t - 6. Let s(u) = 2861*u**2 - 9619*u + 17. Let f(i) = 17*m(i) + 6*s(i). What is the second derivative of f(o) wrt o? 1930 Let p(d) = 9*d**2 - 86*d - 54. Let c(k) = -136 + 216 - 25*k**2 + 81 + 258*k. Let u(y) = 4*c(y) + 11*p(y). Find the first derivative of u(h) wrt h. -2*h + 86 Find the second derivative of l**3 - 2*l**2 - 127 - 232*l**2 + 127 + 1965*l - 303*l**2 wrt l. 6*l - 1074 Let q(u) = -u**3 - 7*u**2 + u + 4. Let v be q(-8). Suppose -2*t - 52 = -v. What is the second derivative of -2*h - 5*h - h - 65*h**4 + 51*h**t wrt h? -168*h**2 Let s be 2/(-7) - (-88)/14. Let x = 170 - 171. Let a(r) = -21*r**2 + 39. Let o(b) = 2. Let c(d) = s*o(d) + x*a(d). Differentiate c(z) with respect to z. 42*z Let s(r) be the third derivative of -223*r**6/30 + r**5/30 - 247*r**3/6 - 2042*r**2. Differentiate s(v) wrt v. -2676*v**2 + 4*v Let u(r) be the second derivative of 11*r**5/5 + r**4/4 + 524*r**3/3 + 74*r. What is the second derivative of u(n) wrt n? 264*n + 6 What is the third derivative of -4862*g**2 - 2495*g**2 - 191*g**2 - 2309*g**2 + 1417*g**5 + 1440*g**2 wrt g? 85020*g**2 Let m(z) be the second derivative of 3319*z**6/30 - 1249*z**2 + 2738*z. What is the first derivative of m(t) wrt t? 13276*t**3 Let r(z) = -z**3 + 25*z**2 - 25*z + 28. Let w be r(24). What is the third derivative of -15*h**3 + h**w + 22*h**3 + h**2 + 21*h - 91*h**3 wrt h? 24*h - 504 Suppose -3*t + 26 = 347. Let s = t + 186. Find the second derivative of -2*i**5 - 79*i**3 + s*i**3 - 15*i**5 + 23*i wrt i. -340*i**3 Let b be 2 + (34 - (-3 + (2 - -1))). Suppose 0 = -7*v + 4*v + b. Find the third derivative of -11*q**2 + v*q**6 - 2*q**2 - q**6 wrt q. 1320*q**3 Let g(i) = -58 + 32 + i**3 + 25. Let a(o) = -116*o**3 + 157*o**2 - 3. Let d(m) = a(m) - 3*g(m). Find the third derivative of d(r) wrt r. -714 Let w(o) = -148*o**3 + 22*o**2 - 5*o - 128. Let p(u) = 74*u**3 - 11*u**2 + 2*u + 63. Let m(v) = -5*p(v) - 2*w(v). Find the third derivative of m(r) wrt r. -444 Let v(y) = -104*y**4 - 7*y**2 - 7215*y. Let n(m) = -m**5 + 207*m**4 + 12*m**2 + 14430*m. Let s(g) = -3*n(g) - 5*v(g). Find the second derivative of s(j) wrt j. 60*j**3 - 1212*j**2 - 2 Find the second derivative of 238*d + 14999*d**4 - 14999*d**4 + 176*d**5 + d**2 wrt d. 3520*d**3 + 2 What is the third derivative of -132*p - 2033*p**2 - 88 + 132*p + 11621*p**4 + 86 wrt p? 278904*p Let w(r) = 115*r**2 - 51*r + 2. Let v = 375 + -380. Let h(q) = -116*q**2 + 50*q - 2. Let a(f) = v*w(f) - 4*h(f). Find the second derivative of a(s) wrt s. -222 Let f be -25*(-9)/60 + 5/4 + -2. Let u(n) be the second derivative of 0*n**f + 0*n**5 - 2/5*n**6 + 0*n**4 + 0 + 4*n**2 + 23*n. Differentiate u(a) wrt a. -48*a**3 Let c(x) be the first derivative of 5*x**6/3 + 7*x**4/4 + 23*x**2/2 + 7*x + 1377. What is the second derivative of c(w) wrt w? 200*w**3 + 42*w Suppose -g + 5*a - 61 = a, -4*a - 37 = g. Let c = g - -53. What is the third derivative of -289*n**c + 285*n**4 - 13*n**2 - 6*n**2 wrt n? -96*n Let n(a) be the third derivative of -1187*a**7/105 + 1337*a**3 - 282*a**2 - 3*a. What is the derivative of n(m) wrt m? -9496*m**3 Find the third derivative of 693*v**6 - 16057071*v**5 + v**4 + 16057071*v**5 - 2742*v**2 wrt v. 83160*v**3 + 24*v Let o be (91/(-14) - -7)*8. What is the derivative of 11849*f**o - 114 - 11817*f**4 - 27 wrt f? 128*f**3 Let t = 4289/120 + -176/5. Let j(x) be the third derivative of 0 + 17*x**2 - t*x**4 + 0*x + 1/6*x**3. Differentiate j(w) wrt w. -13 Let a(k) = -5*k**2 + 8. Let f(x) = -3122*x**2 - 4855*x - 32. Let q(s) = -4*a(s) - f(s). Find the second derivative of q(z) wrt z. 6284 Differentiate 2359 - 174 - 228 + 5098*j**2 + 1217 with respect to j. 10196*j Let q(o) be the second derivative of 0 + 0*o**6 + 0*o**2 + 0*o**5 - 1/12*o**4 - 7/2*o**3 - 10*o - 71/42*o**7. What is the third derivative of q(i) wrt i? -4260*i**2 Let v(c) = 6154*c + 8911. Let n(y) = 9228*y + 13368. Let r(l) = 5*n(l) - 8*v(l). Find the first derivative of r(p) wrt p. -3092 Find the third derivative of -80*m**3 + 98 + 30*m**3 - 86 + 46*m**2 - 73*m**2 wrt m. -300 Find the second derivative of 207 + 32*t**2 + 2*t**3 - 15*t**5 - 4950*t - 207 - 43*t**2 + 5*t**3 wrt t. -300*t**3 + 42*t - 22 Let l(h) be the first derivative of 0*h**4 + 37/7*h**7 + 0*h**5 + 0*h**6 - 2/3*h**3 - 6*h + 4 + 0*h**2. What is the third derivative of l(d) wrt d? 4440*d**3 Let w(m) be the third derivative of -265*m**5/12 + 10*m**4/3 - 2*m**3/3 + 1258*m**2. Find the second derivative of w(h) wrt h. -2650 Find the second derivative of -527*t - 251*t**3 - 236*t + 104*t wrt t. -1506*t Let i(r) be the second derivative of -719*r**5/20 + 10*r**4 - r**3/3 + 13*r**2/2 + 2312*r. Find the third derivative of i(t) wrt t. -4314 Let y(o) = o**3 + 4*o**2 - o - 8. Let i be y(-2). Find the second derivative of -110064*h - 166*h**2 + 109838*h - i + 2 wrt h. -332 Let w = -243 + 282. Differentiate -w + 57 - 41 - 100*f with respect to f. -100 Let y = 2756 + -2752. Let w(r) be the second derivative of 0*r**3 - 4*r**2 + 0 + 16*r - 4/3*r**y. Differentiate w(q) with respect to q. -32*q Let f(k) = -1589*k**3 + 67*k**2 + 838*k - 9. Let j(b) = 795*b**3 - 30*b**2 - 419*b + 4. Let i(c) = -4*f(c) - 9*j(c). What is the third derivative of i(m) wrt m? -4794 Let m(p) be the third derivative of -4*p**7/105 + 7*p**6/12 - 5575*p**4/24 - 28*p**2 - 44. What is the second derivative of m(j) wrt j? -96*j**2 + 420*j Suppose -3*g - 16 = 7*x - 12*x, 3*g - 2*x = -1. What is the second derivative of 188*w**2 - 81*w**2 + g - 90*w**2 + 2*w wrt w? 34 Find the third derivative of -l + 183219*l**3 - 5743*l**4 - 11*l**2 - 183219*l**3 wrt l. -137832*l Let y be 6*2/4 + 0. What is the first derivative of 49*o**3 - 39 - 81*o**y - 41 wrt o? -96*o**2 What is the derivative of 1702 + 370 + 957*g**2 + 57529*g - 28765*g - 28764*g wrt g? 1914*g Let v = -69 + 81. Let g be (-1 - 1)*(-654)/v. Find the second derivative of -g*x**5 + 51*x**5 - 26*x + 74*x**5 wrt x. 320*x**3 What is the third derivative of -292*o**2 + 1630*o**2 + 1002*o**5 + 278*o**2 wrt o? 60120*o**2 Let l(v) be the third derivative of 788*v**7/105 - 2128*v**3/3 + 10084*v**2. What is the first derivative of l(p) wrt p? 6304*p**3 Let b(y) be the second derivative of -17*y**6/15 - 2*y**5/5 - 151*y**3/6 - y**2/2 - y - 83. What is the second derivative of b(r) wrt r? -408*r**2 - 48*r Suppose 18*y = -11 + 47. What is the second derivative of 2*o**2 - 19*o**2 - 82*o + 2*o**y + 11*o wrt o? -30 Let y(t) = -t**3 - 9*t**2 - 3*t - 17. Let h be y(-9). Find the third derivative of -h + 63*m**2 + 14*m**6 + m**3 - 2*m + 10 wrt m. 1680*m**3 + 6 Let r(q) = 3*q - 18. Let h be r(6). What is the first derivative of -g**4 + h*g**2 - 14*g**2 - 20 + 0*g**2 - g**2 wrt g? -4*g**3 - 30*g Let q(s) be the second derivative of 1561*s**6/15 - 839*s**2 - 2064*s. Differentiate q(m) wrt m. 12488*m**3 Let i(s) = 9558*s**3 + 4*s**2 - 8*s - 3796. Let l(r) = 9559*r**3 + 3*r**2 - 6*r - 3793. Let n(b) = -3*i(b) + 4*l(b). What is the first derivative of n(d) wrt d? 28686*d**2 Let t(l) = l**3 + 11*l**2 + 11*l + 13. Let j = -20 + 10. Let u be t(j). Find the third derivative of 6*i**4 - 25*i**3 - 11*i**2 + i**4 + 25*i**u wrt i. 168*i Let f(q) = 2 - q - q**3 - 3 - 29677*q**2 + 29677*q**2. Let b(s) = 99*s**4 + 6*s**3 + 6*s - 250. Let v(
{ "pile_set_name": "DM Mathematics" }
l + 1376*b*l**3 - 673*l**3 wrt b? -43301250*l**3 Differentiate 457360*g**3*t**2 + g**2*t**2 - 5*t**2 - 815647*t - 1 wrt g. 1372080*g**2*t**2 + 2*g*t**2 What is the second derivative of -1264*b**4 - 1465*b**3 - 2*b**2 - 2*b - 7622412? -15168*b**2 - 8790*b - 4 Find the third derivative of -30877773*h**6 + 34802569*h**2. -3705332760*h**3 Differentiate -2*h*x**2 + h*x - 377236*h - 21682335*x**2 with respect to h. -2*x**2 + x - 377236 Find the third derivative of -9891*l**5 + 89*l**4 - 5*l**3 + 22370207*l**2. -593460*l**2 + 2136*l - 30 Find the first derivative of -5279*k**4*n - 506*k**3*n**2 + 7*n**2 - 11653195 wrt k. -21116*k**3*n - 1518*k**2*n**2 Differentiate -434*q**3*v**2 - 82072*q**3*z + 795*q**3 - 3*q**2*v**2 + q*v**2*z + q*v*z - v*z with respect to z. -82072*q**3 + q*v**2 + q*v - v Find the third derivative of -m**2*q**4 + 2*m**2 - 20*m*q**2 - 457*q**4 + 106*q**3 - 543*q**2 + 4*q wrt q. -24*m**2*q - 10968*q + 636 Find the third derivative of 3*h**4*w**3 + 19558893*h**3*w**3 + 5*h**2*w**2 - 1745878*h*w**3 wrt h. 72*h*w**3 + 117353358*w**3 What is the second derivative of -13046615*w*x**2 + 3*w*x + w - 4*x + 3563 wrt x? -26093230*w What is the second derivative of -8228021*q**2*r*y - 368*q*r*y + q*y - 32*r*y - r - 3*y + 2 wrt q? -16456042*r*y What is the third derivative of -a**3*u**2 - 311*a**3*u - 31015*a**3 + 822*a**2*u**2 + 6539*a**2 wrt a? -6*u**2 - 1866*u - 186090 What is the third derivative of 2*g**3*n + 523421130*g**3 - g**2*n - 654*g**2 + 36078*g*n wrt g? 12*n + 3140526780 What is the derivative of -j**3*u - 364*j**2*u - 3558*j**2 - 29071533*u wrt j? -3*j**2*u - 728*j*u - 7116*j What is the derivative of 3*l*q**2 - 10417*l*q + 1989972*l - 5*q**2 - 3*q wrt q? 6*l*q - 10417*l - 10*q - 3 Find the third derivative of c*d**3 + 7*c*d + 1544985*d**3 + 8*d**2 - 1181 wrt d. 6*c + 9269910 What is the second derivative of 50050484*g**3*r - 357*g*r - 233841*r wrt g? 300302904*g*r What is the third derivative of 964*k**3*u**2*y + 175*k**3*u*y - 8*k**3*y - 6456*k**2*u - 7*u**2 - 2*y + 2 wrt k? 5784*u**2*y + 1050*u*y - 48*y What is the third derivative of 34*f**2*x**3 - 2*f**2*x**2 - 23*f**2*x - 3668*f**2 - f*x**3 - 2*f*x**2 + 28569*x**3 - x + 14 wrt x? 204*f**2 - 6*f + 171414 Find the second derivative of -12123695*i**2*w - i*w - 292772*w + 3 wrt i. -24247390*w What is the second derivative of 9528473*l**4 + l**3 - 225*l - 8419? 114341676*l**2 + 6*l Find the first derivative of -50*f**2 + 1283*f + 5008578 wrt f. -100*f + 1283 Find the first derivative of 437002*b**4 - 112*b**2 - 934882. 1748008*b**3 - 224*b What is the third derivative of -564575554*i**5 + 247*i**2 + 860234*i? -33874533240*i**2 What is the second derivative of -204560943*r**2 + 165808744*r wrt r? -409121886 Differentiate -17003*a*i*s + 4*a*s**2 - 58*a*s + 244*a + 1230*i**2*s**2 - 153*s**2 with respect to i. -17003*a*s + 2460*i*s**2 Find the second derivative of -48423925*j**5 - 35581103*j. -968478500*j**3 Find the second derivative of 273832642*a**2 + 89793085*a + 1 wrt a. 547665284 What is the third derivative of 33089307*h**4 + 46656321*h**2 wrt h? 794143368*h Find the second derivative of -124*n**5 - 66401*n**2 + 1696639*n - 1 wrt n. -2480*n**3 - 132802 What is the third derivative of 8*u**4 - 1052247*u**3 + 4*u**2 + 4*u + 37327 wrt u? 192*u - 6313482 What is the third derivative of -55*c**6 - 894405*c**5 + 130*c**2 + 23333*c - 6 wrt c? -6600*c**3 - 53664300*c**2 Find the second derivative of -55*a**3*b**2*n + 7706*a**3*b*n**2 - 2*a**3*n - 608*a*b**3 - a*b**2 - 725*b**3*n**2 wrt n. 15412*a**3*b - 1450*b**3 What is the third derivative of 11176603*l**5 + 3*l**3 + 8*l**2 - 324392*l - 1 wrt l? 670596180*l**2 + 18 Find the third derivative of -9289*x**6 - 3048*x**5 + 174574271*x**2. -1114680*x**3 - 182880*x**2 What is the second derivative of -470*p*t**3*z**3 - 6022*p*t**2*z**2 - 77*p*t*z + p*z**3 + t*z + t + 3*z**3 - 307*z wrt t? -2820*p*t*z**3 - 12044*p*z**2 Find the third derivative of 4589*o**3*u**3 - 522*o**3*u**2 + o**3 - 6*o**2*u**3 + 4*o**2*u**2 - 810*o**2 - 23*o*u**3 + 2*u**2 wrt o. 27534*u**3 - 3132*u**2 + 6 What is the third derivative of -3276326*m**3*n**3 - 3*m**3*n**2 - 3*m**3 - m**2*n**2 - 15460*m*n**2 - 9*n**3 wrt n? -19657956*m**3 - 54 Find the second derivative of 23538*x**3 - 1257*x**2 + 33027*x - 1138 wrt x. 141228*x - 2514 Find the second derivative of -20363738*h**2 + 12665752*h + 1 wrt h. -40727476 What is the second derivative of 1532746*i**4 - 12*i - 59300 wrt i? 18392952*i**2 Differentiate 5962228*m**3 + 6185185 with respect to m. 17886684*m**2 Find the first derivative of -59730569*s - 260460 wrt s. -59730569 What is the first derivative of 3*a**3*q + 412857571*a**3 + 2*a**2*q + 20929167*q wrt q? 3*a**3 + 2*a**2 + 20929167 What is the third derivative of 2584*d**4 + 6430*d**3 - 11599331*d**2 wrt d? 62016*d + 38580 What is the third derivative of 186008*r**5 + 70*r**4 - r**3 + 82308556*r**2 wrt r? 11160480*r**2 + 1680*r - 6 What is the second derivative of 49404293*f**2 + 56*f - 202054? 98808586 Find the third derivative of 3593*c**2*k**2*o**3 - 7289225*c**2*k**2*o**2 + c**2*k**2 - 5395*c*k*o**3 - k*o**2 wrt o. 21558*c**2*k**2 - 32370*c*k Find the third derivative of 28813977*y**3 - 40213564*y**2 wrt y. 172883862 What is the third derivative of -14734878*b**5 + 2*b**4 + 242689*b**2 + 50? -884092680*b**2 + 48*b What is the third derivative of -61894493*d**4 + 6*d**2 - 108580*d? -1485467832*d What is the derivative of -936747711*q - 766528809 wrt q? -936747711 Differentiate 33*m**2 - 50135*m + 2386797 with respect to m. 66*m - 50135 Find the second derivative of 30*h*r**3 - 82*h*r**2 + 32*h - 142*r**3 + 2*r**2 + 25738*r wrt r. 180*h*r - 164*h - 852*r + 4 What is the first derivative of -3493958*c**3*n + 83757738*c**3 - 5*c**2*n wrt n? -3493958*c**3 - 5*c**2 Find the third derivative of -911701*y**6 - 6*y**3 + 98*y**2 - 5384*y + 3. -109404120*y**3 - 36 Find the third derivative of 21399219*z**4 + 34617*z**2 + 196 wrt z. 513581256*z Find the third derivative of 235*q**4 - 36983*q**3 - 90185*q**2 - 16*q. 5640*q - 221898 Find the third derivative of 89*c**5 - 2893*c**4 - c**3 + 34760441*c**2 wrt c. 5340*c**2 - 69432*c - 6 Find the third derivative of p*u**4 + 94*p*u**3 + 4*p*u**2 - p*u + 2*p - 1649619*u**3 - 2753*u**2 - u - 7 wrt u. 24*p*u + 564*p - 9897714 Differentiate -48046339*k**2 - 51374802 with respect to k. -96092678*k What is the second derivative of 1453*i**5 + 454*i**2 + 1101332*i? 29060*i**3 + 908 Differentiate -1659933*f**3 - f - 611027 wrt f. -4979799*f**2 - 1 What is the second derivative of -24*m**3 - 1907678*m**2 - 360720370*m wrt m? -144*m - 3815356 Find the third derivative of 17239372*j**5 - 20771224*j**2 wrt j. 1034362320*j**2 What is the first derivative of 179382332*c + 583797940? 179382332 Differentiate 30980102*w**3*y - 14*w**3 - 10*w**2 + w*y**2 - 14263 wrt y. 30980102*w**3 + 2*w*y What is the derivative of 520832221*v - 150713951 wrt v? 520832221 Find the second derivative of -3737563*k**3 - 2164*k - 121683 wrt k. -22425378*k Find the first derivative of 12707168*g + 30358394. 12707168 What is the third derivative of 73522769*q**3 + 41199375*q**2 wrt q? 441136614 What is the first derivative of -5812*x**2 + 1926*x - 58291160 wrt x? -11624*x + 1926 Find the second derivative of -65028257*p**2 - 80192332*p. -130056514 What is the second derivative of -16*p**5 + 9*p**3 - 5728*p**2 + 934693*p? -320*p**3 + 54*p - 11456 Find the third derivative of 33*n*s**3 - 2*n*s**2 + 42307*n*s - 213*n - 193585*s**3 wrt s. 198*n - 1161510 What is the third derivative of 165514146*i**3*y**3 - 874*i**3*y - 638*i*y**2 + 12*y**2 wrt y? 993084876*i**3 What is the second derivative of -13730*q**5 - 206*q**3 - 30927112*q? -274600*q**3 - 1236*q Find the third derivative of -301056488*a**3 - 2*a**2 + 173175763. -1806338928 Find the second derivative of 79392464*i**2 - 1610*i + 101 wrt i. 158784928 Find the first derivative of 449084*p**2 - 2*p + 3078444 wrt p. 898168*p - 2 What is the first derivative of 638*h**2*l**2 - 2*h**2 - 100*h*l**2 + 33782105*l**2 wrt h? 1276*h*l**2 - 4*h - 100*l**2 Find the second derivative of 165884089*v**2*z**3 + 9*v*z**3 + 2*v*z**2 - 179*v*z - 3*v + 58*z**3 + z wrt v. 331768178*z**3 What is the third derivative of -62571369*i**
{ "pile_set_name": "DM Mathematics" }
Suppose -19 = -t - s*t - 3*i, 5*t - 16 = 4*i. Solve -t = 3*k - w*k for k. 4 Suppose -3*q = 4*r - 22, -3*r + 2*q = -0*q - 8. Suppose r*z + 8 = 4*n, z + 4*n - 26 = -4*z. Solve z*l - 5 = -13 for l. -4 Suppose b + z = 2 + 4, 2*z = 5*b + 5. Let s be (-8)/(-12) + (-100)/6. Let f be (-2)/8 - 4/s. Solve f = -5*c + b - 11 for c. -2 Suppose 15*c - 18 = 12. Solve c*n - 2 = 3*n for n. -2 Let n = 10 + 5. Solve 2*x + x = n for x. 5 Suppose 10*v - 12 = 6*v. Solve 0 = 2*o - v + 11 for o. -4 Let v(j) = j**3 + 4*j**2 + 2*j - 1. Let k be v(-3). Solve 3*o = 4 + k for o. 2 Suppose 3*b = b, 79 = a + 4*b. Suppose 0 = 2*v - 5*c - 48, -5*c = -5*v + 56 + a. Suppose -r + v = -2. Solve -r = 4*m - 11 for m. -5 Let x be (-12)/(-9)*3/2. Solve 0 = x*i + i - 9 for i. 3 Let m = 126 - 124. Solve 2*n + m = 4*n for n. 1 Let r be (-4)/(-2)*4/2. Suppose 108 - 12 = r*k. Let v = k - 8. Solve -4*y + v = -0*y for y. 4 Suppose -6*r + 3 + 9 = 0. Solve 2*x + r = -2 for x. -2 Suppose -4 = 4*o - 24. Solve -1 = -o*g + 4 for g. 1 Let n be 1 - (2 + -1)*-3. Solve 0*r - n = r for r. -4 Let f = 37 - 37. Solve 0 = -c + 1 - f for c. 1 Let i = -25 + 36. Let s(t) = -t + 6. Let g be s(i). Let f = g + 8. Solve -f*m + 4*m = 0 for m. 0 Suppose -m + 6 = -v, 5*m - 5*v = -v + 26. Solve -m*t = -t + 2 for t. -2 Suppose -2*i + 7 = 1. Let h(w) = -w**2 - 10*w + 7. Let x be h(-9). Suppose k = -k + x. Solve -q - k = -i*q for q. 4 Let d = 20 - 11. Let v = 15 - d. Solve 0 = -v*r + 3*r - 6 for r. -2 Let i = 21 - 31. Let y = -5 - i. Suppose -n = 3*u + 1, -5*u = 3*n + 2*n - y. Solve -n*f + 4*f = 0 for f. 0 Suppose -37 = -5*k - 3*l - 12, 15 = 3*l. Solve -10 = -0*v - k*v for v. 5 Let z be -10*(4 - 36/8). Solve -z*n - 4 = 6 for n. -2 Suppose -3*k = -4*k + 8. Let n(r) = -r - 5. Let x(o) = 3*o + 9. Let z(c) = -7*n(c) - 4*x(c). Let j be z(-1). Solve 4*g + k = j for g. -1 Let s = 16 + -14. Suppose -g - 3*g = -8. Let b = -4 + 4. Solve -s = g*u - b*u for u. -1 Suppose -5*f + 8 = -12. Let u = 4 - f. Solve u*v = v - 5 for v. 5 Let o(w) = w**2 + 6*w + 7. Let q be o(-5). Suppose 3*r + 79 = q*n - 3*n, 3*r = -5*n - 95. Let i be 10/r - (-4)/10. Solve 0 = -i*x + 4*x + 12 for x. -3 Suppose z + 2*i - 5 - 1 = 0, 2*i + 14 = 4*z. Suppose 0*v - 5*p + 25 = -v, z*v = 2*p - 10. Solve v*h + 10 = 5*h for h. 2 Let b be (-6)/1 + 1 + 0. Let v = b + 7. Let o be (2/(-3))/(6/(-27)). Solve v*g - o - 7 = 0 for g. 5 Let i(n) be the third derivative of n**7/180 + n**5/120 + n**4/12 - n**2. Let y(l) be the second derivative of i(l). Let h be y(-1). Solve 2*b + b = h for b. 5 Let h be (-110)/4 + 1/2. Let c be (-546)/h + (-2)/9. Suppose -4*v + c = 0, -2*y + v + 3*v - 20 = 0. Solve -4 = t - y for t. -4 Suppose 4*u - 8 + 0 = 0. Suppose 4*m - 12 = -0*m. Let s be 3 + (-2 - 2) + -1 + 7. Solve s + m = u*v for v. 4 Let w = 14 - 10. Solve 5*b - 14 = -w for b. 2 Suppose 3*x - 9 = -3*n, -3 + 0 = -3*x - 5*n. Let s = x - 3. Suppose -s*o = -5*o. Solve y + y + 6 = o for y. -3 Suppose -4*k = 24 - 4. Let l(d) be the first derivative of -d**2 - 7*d - 1. Let v be l(k). Solve -11 + 2 = v*n for n. -3 Let c(d) = -d**2 + 7*d - 2. Let w(i) = 2*i**2 - 13*i + 3. Let k(m) = -5*c(m) - 3*w(m). Let f be k(5). Let u be f/2 - -4 - 2. Solve u = -2*y - 3*y for y. 0 Let p be -6*(-4 + (-10)/(-4)). Solve 5*k + p = 2*k for k. -3 Let i = 17 + -41. Let u be 6*-2*4/i. Solve 1 - 7 = u*j for j. -3 Let c be (-1 + 5)*(-4)/(-8). Suppose -2*o - 5 = d - 16, -2*d + 3*o = 6. Solve -q - d = -c for q. -1 Let w be (-4 + 8 + -5)*-7. Solve -4*f + w*f - 3 = 0 for f. 1 Let h = -14 + 18. Solve 3*t = h*t - 3 for t. 3 Let n(a) = a**3 - a + 3. Let h be n(0). Let v be ((-2)/h)/(12/(-90)). Solve -4*k + 5*k = -v for k. -5 Suppose 13*t - 20 = 11*t. Solve 3*o + 2*o = t for o. 2 Let q(h) = 2*h**2 + 9*h - 18. Let s be q(-6). Solve 7*z - 4*z - 9 = s for z. 3 Let v = 34 - 30. Let c(x) = 2*x - 2. Let b be c(2). Solve -v*i + b = 10 for i. -2 Suppose 8 = -0*l + 4*l. Let v = -41 - -43. Solve -8 = v*w + l*w for w. -2 Let p = -15 - -15. Solve -5*c = -p*c + 15 for c. -3 Suppose 4 = a - 8. Suppose 4*k + t = 14 + 10, 5*t = 2*k - a. Solve 0 = 5*u - k + 31 for u. -5 Let v = 1 + -1. Let u be (-54)/(-15) + (-2)/(-5). Let j = -4 + u. Solve v = -i - j*i + 1 for i. 1 Let u = -3 - 0. Let l be (-1)/(u/(-18)*-2). Let x(b) = b**2 - 4*b + 1. Let h be x(4). Solve h + l = -d for d. -4 Let o(a) be the third derivative of -a**5/60 - a**4/24 + a**3/2 - a**2. Let x be o(-3). Let g be 1/x + (-14)/(-6). Solve 5*y = 4*y - g for y. -2 Suppose -5*q - 4 = 3*p, -2 = 2*p - 4*p - q. Suppose -19 = -5*s - p*t + 2, 3*t + 6 = 5*s. Let x be 7 + -1 + -3 - 0. Solve s*z + 6 = -x for z. -3 Suppose 3*j + 0*s = -2*s + 4, 4*s - 8 = -5*j. Solve -3*t + 1 - 7 = j for t. -2 Suppose -14 = -5*y + 3*p, 0*y - y = 2*p - 8. Solve 0 = y*i - i for i. 0 Suppose -2*z + 33 = z. Let h be (-1)/3 - 40/6. Let r = h + z. Solve j = -r*j for j. 0 Suppose 34*u - 19*u - 150 = 0. Solve -2*f = -0*f + u for f. -5 Let t = -4 - -6. Suppose t*d - 12 + 0 = 0. Let o(u) = u**2 + 7*u. Let m be o(-7). Solve 2*q - d*q = m for q. 0 Suppose 0 = 2*p - 0*b + 4*b - 8, b - 4 = -p. Suppose -4*t = -6*t - 2*z + 34, p*z = 4. Solve -7*c + t = -3*c for c. 4 Suppose 0 = 4*p + 4*l - 8, -15 - 3 = -3*p + l. Suppose 0 = -p*g - j + 3*j + 16, 2 = -5*g - 4*j. Solve 0 = -5*u + g*u + 3 for u. 1 Let x = 0 + 2. Let z be -2 + 6/(2 - 0). Solve 0 = x*i + 1 + z for i. -1 Suppose w = -t - 0*w + 12, t - 2*w = 0. Let j be (-2)/t - 75/(-12). Suppose 3*n - 2*n - j = 0. Solve -3*m = -n*m + 3 for m. 1 Suppose -12*j + 1 = -35. Solve -j*l = -8*l - 20 for l. -4 Let f = 4 + -8. Let v = f + 8. Solve 0 = -3*h + 5*h + v for h. -2 Let o be 0/((12/4)/3). Solve o = -4*b + 4 for b. 1 Let m(s) = -s - 17. Let t be m(-17). Suppose -3 = -b - t*b. Solve b*f + 8 = f for f. -4 Suppose -5*y - 9 = -2*y, 3 = 4*b + 3*y. Let p = b - -2. Suppose 5*s = -p*x + 120, -32 = -s + x - 4*x. Solve 0*j + 4*j + s = 0 for j. -5 Let i(g) = 5*g**2 - 9 + 3*g + 5*g + g**3 - 2*g**3. Let j(q) = 9*q - 3. Let v be j(1). Let t be i(v). Solve t*y = 2*y - 3 for y. -3 Let s be (-2)/(-6) - 1/3. Suppose 0 = w - s*w - 4. Suppose -4*k + 20 = w. Solve -k = -3*t + 2 for t. 2 Let v = 26 + -24. Solve 4 + 0 = -v*f for f. -2 Suppose -l = -1 - 1. Let z(s) = l - 2 - s. Let i be z(-3). Solve -6 = -0*c + i*c for c. -2 Suppose -u + 6 = 2*u, -5*u + 60 = 5*a. Suppose -2*r - 3*r + a = 0. Solve -r*k - k = -3 for k. 1 Let q be (-8)/3*(-15)/4. Suppose 4*g + 12 = g. Let y = g + 6. Solve y*l - q = -0*l for l. 5 Suppose 5*a = 5*z + 40, -9 = -5*a - 5*z + 11. Suppose c - a = -2. Solve -5*s + c = -16 for s. 4 Let s(r) = -r**3 - 8*r**2 + 16*r - 28. Let d be s(-10). Solve 13*v - d*v = -4 for v. -4 Let n(s) = -s + 4. Let v be n(4). Let o(w) = -w**2 - 9. Let u(m) = -1. Let r(i) = -2*o(i) + 18*u(i). Let b be r(-1). Solve 0 = -v*p + 2*p + b for p. -1 Suppose 0 = 5*c - 28 + 3. Suppose c*i = 2*i. Suppose -2*w - 6 = r - 19, 3*w - 3*r = -3. Solve i = -5*l + l + w for l. 1 Suppose -5*d + 0*z + 15 = z, 12 = -2*d - 4*z. Solve d = 4*f - 8*f for f. -1 Suppose -4*t - 4 = 0, -4*b + 22 = -3*t + t. Suppose 5 = 5*n + 2*l - 13, 6 = b*n - l. Solve n*h - 2 + 0 = 0 for h. 1 Let q = 10 + -2. Let i = 14 + -9. Solve 3*k - i*k + q = 0 for k. 4 Let w(l) = 15*l + 79. Let m be w(-5). Let o be ((-2)/(-4))/((-2)/(-24)). Solve -o*n + m*n - 2 = 0 for n. -1 Suppose 4*d + 12 = 32. Suppose d*g - 7*g = 0. Suppose g*f = -2*f + 10. Solve 2*u + f = -5 for u. -5 Suppose 3*n + 6 = -0*n + 4*d, 0 = 3*n - 3*d + 9. Let k = n - -11. Solve o + 1 = k for o. 4 Suppose n - 5*q + 6 = -5, 0 = 3*n - 5*q + 3. Solve -10 = -m - n*m for m. 2 Suppose 5 = z + 1. Let o be (-6)/z*(-14)/3. Suppose 3*k + o = 28. Solve -3*l = k - 1 for l. -2 Suppose 0 = -103*r + 108*r - 15. Solve -m = -r*m + 10 for m. 5 Suppose 6*g = 2*g + 8. Solve 2*k = -g*k - 8 for k. -2 Let i be 6*10/16 - 33/(-132). Solve 5*o + i = 14 for o. 2 Let l be 2 - (3 + (-3 - -31)). Let b = -17 - l. Let t = 1 + 2. Solve -b = 7*o - t*o for o. -3 Let f(z) = -z**3 + 6*z**2 - 2*z - 6. Let t be f(5). Suppose 4*u - t = h + 24, -5*h - 39 = -2*u. Solve u = i + 4 for i. 3 Let z(t) = t + 1. Let h be z(7). Suppose -2*i = 3*d - d - h, 2*i + 13 = 5*d. Suppose a - 1 - i = 0. Solve -3*k + 25 = a*k for k. 5 Let f(y) = y**2 - 16*y + 15. Let s be f(15). Let v(x) = 5*x - 3. Let c(o) = -o + 1. Let q(r) = 4*c(r) + v(r). Let h be q(s). S
{ "pile_set_name": "DM Mathematics" }
common multiple of 14 and o? 126 Let o(c) = 14*c - 44. Calculate the least common multiple of o(7) and 60. 540 Let c = -2522335/119166 - 2/19861. Calculate the common denominator of -59/27 and c. 54 Let m be (21/(-56))/(42/(-727592)). Let q = -6489 + m. What is the common denominator of q and 107/56? 56 Calculate the common denominator of -63/20 and (-3)/(45/12) - (-9386)/7020. 540 Let i be (-85)/7 + (-2)/(-14). Let r = i + 21. Calculate the least common multiple of 1 and r. 9 Let b be 1/(-2) - 74/(-4). Suppose -2*r + 2 + 2 = 0. Suppose c - 2 = -2*c + r*k, 2*c + 2*k - b = 0. Calculate the lowest common multiple of 5 and c. 20 Let t = 2502/35 + -302/35. Let i = 1349/14 - t. Calculate the common denominator of -64/15 and i. 30 Let r = 14 - 12. Suppose 3*y + 34 = -5*q, y - r*y = 3. Calculate the common denominator of 28/(-8)*4/q and -50/9. 45 Let v = 2/4021 + 197023/12063. Suppose -4*l + 744 = -3*l. Find the common denominator of v and (-14)/63 - l/(-189). 21 Let g be (-3)/(-2 - (2 + -3)) - 5. Let r(t) = 2*t + 6. What is the lowest common multiple of r(g) and 1? 2 Let q(l) = l**3 - 8*l**2 - 5*l - 24. Calculate the least common multiple of q(9) and 27. 108 Let p(c) = -c + 1. Let w be p(8). Let u(q) = 60 - 34 + 0*q - q**2 - 30 - 9*q. Calculate the lowest common multiple of u(w) and 4. 20 Suppose 1978 = -6*v + 2104. What is the least common multiple of v and 3? 21 Let p = -13415 + 2793. Let f = p - -148637/14. Let j = 152063/20 - 7600. What is the common denominator of j and f? 140 Let m = 222 - 2117. Let h = -19017/10 - m. Find the common denominator of 1/((-35)/(-10)) - (-1170)/168 and h. 20 Calculate the least common multiple of 27 and (9/(-2))/(8 - 664/80). 135 Let n = 7984 - 4668. Let m = n + -26491/8. What is the common denominator of m and 45? 8 Let j be ((-16)/48)/(7/(-42447)). Let s = 2018 - j. What is the common denominator of s and -41/9? 63 Let z(h) = -h**3 + 11*h - 4. Suppose -48 = -3*f + 6. What is the lowest common multiple of z(3) and f? 18 Let f be 12088/16320 + (-1 - 1). Let i = 1/136 - f. What is the common denominator of i and 71/12? 60 Suppose 2*x = x + 12. Let d = 19 + -19. Calculate the lowest common multiple of x and (5 - d)*(-52)/(-65). 12 Suppose 0*i + 3*i + 5*y = 189, 0 = -5*i + y + 287. Let w = 66 - i. What is the least common multiple of w and 3? 24 Let o = -11 - -7. Let i = 1/6174 + -51965/3087. Find the common denominator of o/(-10) + 1990/400 and i. 24 Let t(v) = 3*v**2. Suppose 2*i + 56 = -58. Let u = i + 65. Calculate the least common multiple of t(2) and u. 24 Let c(j) = -4*j - 21. What is the common denominator of c(-5) and -46/305? 305 Let g = -372791/648 - -4607/8. Let d = g - -1801/1782. Find the common denominator of d and 11/8. 88 Let n(y) be the second derivative of -2*y**3/3 - 42*y**2 - 65*y. Suppose 80 = -0*z + 5*z. What is the smallest common multiple of z and n(-22)? 16 Let i = -37/2 + 181/10. Calculate the common denominator of i and 139/6. 30 Let a = 148939 - 36192241/243. What is the common denominator of 64/9 and a? 243 Let u = 34 - 33. Calculate the smallest common multiple of 8 and u/(1/12) + 2. 56 Let h = -135 + 93. Calculate the common denominator of (-145)/h - 8/28 and -2 + (-5)/((-300)/(-21)). 60 Let r = -162 + 180. What is the smallest common multiple of r and 58? 522 Let p be (-606)/(-930) - (0 + 2). Let o = -14/31 + p. What is the common denominator of o and 32/3? 15 Suppose 3*c + 5 - 8 = -2*s, -2*c - 46 = -4*s. Calculate the smallest common multiple of s and 27. 27 Let d = 1 + 3. Let g(b) = -b**2 - 5*b + 1. Let s be g(-4). Suppose -1 = 3*a - c - 3, s*a - 1 = 4*c. Calculate the smallest common multiple of d and a. 4 What is the smallest common multiple of (210/20)/((-8)/(-112)) and 210? 1470 Let f = 1245 - 1215. What is the least common multiple of 45 and f? 90 Let w(v) = 3*v**2 - 3*v - 4. Let x(j) = -3*j**3 + j**2 - 1. Let y be x(-1). What is the smallest common multiple of 7 and w(y)? 14 Let l = 2/2401 + 160843/28812. Calculate the common denominator of 103/12 and l. 12 Let v = -76727/26046 + 2/1447. Find the common denominator of 99/(-14) - (-2 + 1) and v. 126 Find the common denominator of ((-7)/(-924)*-6)/((-6)/(-83)) and -81/4. 132 Let h(a) be the first derivative of -3895*a**2/2 - a - 1. Let t be h(-3). Let u = 210445/18 - t. Calculate the common denominator of -11/14 and u. 126 Let s = -2141 - -2159. Calculate the smallest common multiple of s and 22. 198 Let u(c) = 2*c + 26. Let g be u(-13). Let v(d) = -d + 7. What is the smallest common multiple of 3 and v(g)? 21 Let f be (121 - 0) + 9 + -13. Find the common denominator of 43/26 and f*4/(-56) - -4. 182 Suppose -2*g + 4 = -6. Let k(d) = -2*d + 14. Let v be k(g). Suppose 3*c + 10 = v*c. Calculate the least common multiple of c and 8. 40 Let q = -26372/11 - -2399. Let l be (12/2542)/((-15)/(-10)). Let v = -26651/12710 - l. Calculate the common denominator of q and v. 110 Let q = -23 - -30. What is the lowest common multiple of 3/(-21) - (-113)/q and 12? 48 Let m = -3276 + 45915/14. Calculate the common denominator of m and (153/56)/((-15)/4). 70 Let b(v) be the third derivative of v**6/60 - v**5/60 - v**4/24 + v**3/6 - 9*v**2. Calculate the least common multiple of b(2) and 37. 407 Let o(h) = -2*h**2 + 10*h + 2. Let s be o(5). Suppose -3*y - 4*d = -50, 6*y = 2*y + s*d + 96. Calculate the least common multiple of 10 and y. 110 Let c(z) = z**2 + z + 2. Let b be c(2). Suppose b*i - 5*i - 36 = 0. What is the lowest common multiple of i and (-53)/(-3) - (-1)/3? 36 Suppose -4*v = -5*k - 58, 22*k = -5*v + 17*k + 50. Calculate the smallest common multiple of 36 and v. 36 Suppose 0*r = 5*y + 4*r - 32, -2*y + 4*r - 4 = 0. Let u(b) = y*b - 1 - 2*b - 3*b + 9. What is the lowest common multiple of u(7) and 3? 3 Suppose 1048 = 13*o + 944. Calculate the least common multiple of o and 1/2 - 222/(-4). 56 Let i be (-7645)/(-2)*(-6)/6180. Let z = -4/103 + i. Calculate the common denominator of -6 - -8 - (-74)/(-36) and z. 36 Let h = -133 + 134. What is the lowest common multiple of h and 5? 5 Suppose 2*g - 12 = -u, 0 = -6*u + u + 5*g - 15. Find the common denominator of ((-4)/(-108))/(u/(-381)) and (2/(-8)*-58)/(-5). 90 Let t = 8 + -6. Suppose -177 + 63 = 3*b. Calculate the common denominator of b and t/(-10)*9 - -2. 5 Calculate the smallest common multiple of 1612 and -4*(10 - (-63)/(-6)). 1612 Let n be 8 - (-1 - (4 + -5)). Suppose 0 = -n*c + 5*c - 3*m, c = -3*m - 4. Calculate the least common multiple of 2 and c. 2 Let w = -17 + -48. Let f = -62 - w. What is the smallest common multiple of 6 and f? 6 Let l(s) = -8*s**3 - 2*s**2 - 4*s - 3. Let t be l(-1). Let g(r) = 2*r + 18. Find the common denominator of g(t) and 28/3. 3 Let g be -2*3/(-18)*3 + -4. Suppose -2*f + 11 = -1. What is the smallest common multiple of (6/(-5))/(g/5) and f? 6 Suppose -12*r - 1672 = -10*r. Let d = r + 1605/2. What is the common denominator of d and -11/7? 14 Suppose b - 12 = 3. Calculate the lowest common multiple of b and 42. 210 Let a(u) = u**3 - 6*u**2 - 2*u + 22. What is the smallest common multiple of a(6) and 416? 2080 Let f be (-1)/2*(-20)/(-1008)*-1. Let z = f + -11933/504. Find the common denominator of z and -7/8. 24 Let t(n) = 7*n - 120. Calculate the least common multiple of 12 and t(20). 60 Suppose -8*t = -7*t - 10. Let s(x) = x**2 + 3*x - 6. Let h(c) = c**2 + 4*c - 5. Let m(n) = -4*h(n) + 3*s(n). Calculate the least common multiple of t and m(-7). 10 Let a = -3/3001 - -159059/6002. Calculate the common denominator of a and 26/8*(-8)/(-18). 18 Suppose a + 45 = -2*t - t, -a + 5*t = 77. Let u = 569/10 + a. Calculate the common denominator of u and 23/3. 30 Suppose 4*m = -2*q + 961800, 5*q = 4*m + 2*q - 961810. Let j = -20438936/85 + m. Let r = 42/17 + j. What is the common denominator of -26/19 and r? 95 Suppose -4*f + 6 = -10. Suppose f*r + 2*q = 6*r - 6, -2*r + 5*q = -6. What is the least common multiple of 10 and r? 30 Suppose -3*p - 68 = -f + 48, -p - 24 = -4*f. Find the common denominator of 86/p + 0 - (2 - 1) and 29/4. 20 Calculate the common denominator of 29/166 and 129/(-99) - 4/(-6). 1826 Let m = 194 - 186. Calculate the smallest common multiple of m and 6. 24 Let l = 149/272 - -9/34. Let r = l - -17/16. Calculate the common denominator of r and -121
{ "pile_set_name": "DM Mathematics" }
-3, 2/3? 16/7 Which is the third biggest value? (a) 4/3 (b) 2 (c) 2/9 (d) -5 (e) -2 c What is the smallest value in -2/7, -11, -0.04, 1, 1/4? -11 Which is the third smallest value? (a) -1 (b) -2/9 (c) -1001 b Which is the third biggest value? (a) -6 (b) 4 (c) 0.1 a What is the second smallest value in 0.42, 0.1, -0.023, -1? -0.023 Which is the biggest value? (a) 0.5 (b) 0 (c) 3 (d) 0.32 c Which is the fourth smallest value? (a) -6 (b) 0.5 (c) -3 (d) 1/42 b Which is the second biggest value? (a) -2/13 (b) -9 (c) 2/3 a Which is the second biggest value? (a) 0 (b) 2 (c) -2/5 (d) 8 b Which is the biggest value? (a) 1/4 (b) 2/13 (c) 179 c What is the third smallest value in -6, -0.4, 12? 12 Which is the second smallest value? (a) -3 (b) -0.042 (c) 1/2 (d) 6/19 b What is the biggest value in 3, -2/11, -0.4, 1/3? 3 Which is the fourth smallest value? (a) -3 (b) 2/149 (c) 0 (d) 3 d Which is the third biggest value? (a) -1 (b) 0.5 (c) 1 (d) 0.04 d What is the third biggest value in -2, 16/71, 5? -2 What is the biggest value in -19, 3, 0.1, -45, -1/3? 3 Which is the second smallest value? (a) -1 (b) -2/5 (c) 230 b Which is the second smallest value? (a) -5766 (b) -0.1 (c) -4 c Which is the biggest value? (a) 3/5 (b) -3 (c) 205 c Which is the third smallest value? (a) -32 (b) 12 (c) -2/9 (d) -2 c Which is the third smallest value? (a) -12 (b) 0.91 (c) -4 b Which is the second biggest value? (a) -0.4 (b) -2/3 (c) -2/55 (d) 0.5 c Which is the third smallest value? (a) 0.26 (b) -1/15 (c) -1 (d) 0.4 a What is the fourth smallest value in 3/184, -0.2, -1/4, 0.2? 0.2 What is the second biggest value in 5, -0.04, -4, 5/4, -2? 5/4 What is the second smallest value in -5, -2, -1, 1/4? -2 What is the third smallest value in -1, 0.5, -1194? 0.5 Which is the third biggest value? (a) -0.2 (b) 4 (c) 0.09 (d) 1.5 c What is the second biggest value in 4/5, 0.2, 1, 3, -12/5? 1 What is the second biggest value in 1/4, -1, 28/13? 1/4 Which is the smallest value? (a) 0.3 (b) 1 (c) -1/8 (d) 8 c What is the smallest value in 9, 3, -0.06? -0.06 What is the third biggest value in 2/7, 5, -1, -4? -1 Which is the second biggest value? (a) -6 (b) 2/3 (c) 4 (d) 0.31 b What is the smallest value in -4, -53, 0.2? -53 Which is the second smallest value? (a) -0.08 (b) -0.8 (c) -5 (d) 0.4 b Which is the fourth biggest value? (a) 2/3 (b) -2/7 (c) -1/3 (d) 0.39 c What is the fourth smallest value in -1/2, 2/191, 0, -0.4? 2/191 What is the smallest value in -3, 0, -1/7, -0.013? -3 What is the third smallest value in -3/7, -0.1, 2? 2 What is the second smallest value in 2/9, 7, -2/9, -26? -2/9 What is the third biggest value in 2, -4, 1.4, 1/3? 1/3 Which is the smallest value? (a) -348 (b) 5 (c) -2/5 (d) -5 a What is the third smallest value in 4, 15, -0.08, 0.5? 4 Which is the second biggest value? (a) -15 (b) 2/11 (c) -1/3 c What is the third smallest value in -5, -12, 2/9, -3/7? -3/7 Which is the second biggest value? (a) -0.1 (b) 0 (c) -7 a Which is the fourth biggest value? (a) -4 (b) -2/7 (c) 2 (d) -5 d What is the biggest value in 4, 0, -14/3? 4 What is the fourth biggest value in -4/3, 2, -8/3, 4? -8/3 What is the second biggest value in -0.43, 2/9, 2/3? 2/9 Which is the biggest value? (a) 2 (b) 8 (c) 3 (d) -0.3 (e) 15/7 b What is the third smallest value in 0.07196, 1/4, 4? 4 Which is the third smallest value? (a) -5/4 (b) 0 (c) 0.6 (d) 4 (e) 22 c Which is the second biggest value? (a) 2/5 (b) -6.1 (c) 0 c What is the smallest value in 6, -193, 3/4? -193 Which is the fourth biggest value? (a) -2 (b) -1 (c) -5/7 (d) 0.01 (e) 1/2 b What is the second biggest value in -3, 4/3, -0.01, -2/15? -0.01 What is the third smallest value in -1/4, -5173, 1? 1 What is the third smallest value in 13, 8, -0.2, -4, 0? 0 Which is the third smallest value? (a) 4/11 (b) 3.6 (c) -3 b Which is the third biggest value? (a) -1 (b) -0.18 (c) 4 a What is the biggest value in 2/17, -3, -5.831? 2/17 What is the third biggest value in -18, -2/211, 2/3? -18 Which is the second biggest value? (a) 4 (b) 12/11 (c) 0.058 b Which is the fourth smallest value? (a) -3 (b) 65 (c) 0.01 (d) -4/9 b Which is the third smallest value? (a) -58 (b) -5 (c) -1 c Which is the second smallest value? (a) -0.2 (b) 2/3 (c) 73 b Which is the third biggest value? (a) 4/3 (b) 5 (c) 9 a Which is the fourth biggest value? (a) 5 (b) 0.22 (c) -3 (d) -0.1 (e) -0.2 e What is the third smallest value in -182, 1/7, 0.5? 0.5 Which is the fourth biggest value? (a) 0 (b) -1 (c) 3/7 (d) 0.4 b Which is the smallest value? (a) 0.03 (b) 1/4 (c) 0.3 (d) 0.2 a What is the smallest value in 1, 0, -5, 0.07? -5 Which is the biggest value? (a) -1.8 (b) -0.12 (c) 5 c Which is the third smallest value? (a) -6 (b) -2/5 (c) -7/6 (d) 27 b What is the fourth smallest value in 0, 1/5, -6, -1/2? 1/5 What is the third smallest value in -5, -4/21, -2/9? -4/21 Which is the fourth smallest value? (a) -4 (b) 0.6 (c) -10 (d) 1 d What is the second smallest value in 3/4, 2/17, -2, 1.45? 2/17 What is the biggest value in 64, -3/4, 77? 77 What is the smallest value in -2/3, 0.3, -1.26? -1.26 Which is the fourth smallest value? (a) 22 (b) 3 (c) -1 (d) 0.4 a What is the fourth biggest value in 0.1, -4, 0.3, 321? -4 Which is the third biggest value? (a) 1 (b) -2 (c) -5 (d) -6 c What is the biggest value in 3, 1.119, -2? 3 What is the fifth biggest value in -1/3, -6/7, 0.3, 2, 0.8? -6/7 What is the biggest value in 3, 4, -0.5, -0.17, -260? 4 What is the third smallest value in -1/6, -1/4, -11/7, 3? -1/6 Which is the biggest value? (a) 6 (b) 0 (c) -3 (d) 3 (e) 0.06 a Which is the second biggest value? (a) 3 (b) -46 (c) -5/3 (d) -4 c What is the smallest value in -1/8, 0.2, 2, -1, 87? -1 What is the biggest value in -0.2, -0.5, 24, -0.1? 24 Which is the fifth biggest value? (a) -4 (b) 5 (c) 2/11 (d) 2 (e) 4 a What is the fourth biggest value in -0.5, -1, -32, 4/3? -32 What is the third smallest value in 109, -5, -8.8? 109 What is the second smallest value in 61/2, -4/7, 1, 0.3? 0.3 What is the third biggest value in 2.9, -68, -0.2? -68 Which is the second biggest value? (a) -5/4 (b) 19 (c) -3 a What is the third smallest value in -5, 123, 2? 123 What is the third biggest value in -2/7, 0.039, -1/2, 2? -2/7 What is the third biggest value in 1, -3, 1.1, -2/9? -2/9 Which is the smallest value? (a) 88/7 (b) 1/3 (c) 0.4 b Which is the second biggest value? (a) -4/7 (b) -4/9 (c) 38 (d) -4 b What is the third biggest value in -4, 0.1, 5/2, 0.07? 0.07 Which is the second smallest value? (a) 50 (b) 1/2 (c) -1/2 (d) -0.4 d Which is the second biggest value? (a) 1 (b) 2 (c) -2/11 a What is the second biggest value in 0.3, -369, 0.01? 0.01 What is the second biggest value in -3, -1/2, 12? -1/2 What is the second biggest value in -3, -9.3, 1/7, -4? -3 Which is the fourth smallest value? (a) 489 (b) -0.5 (c) -0.3 (d) -0.2 (e) 1 e Which is the biggest value? (a) -1/2 (b) -5 (c) 63 c Which is the smallest value? (a) 2 (b) 5 (c) 56 a What is the third smallest value in -0.079, 0.25, 1? 1 Which is the third biggest value? (a) 4 (b) 2 (c) 2/185 c Which is the second smallest value? (a) -5/4 (b) 0.5 (c) -0.5 c Which is the fourth biggest value? (a) 1/8 (b) -14 (c) 2 (d) 15 b What is the fourth smallest value in 3, 0, 10/11, 2? 3 Which is the second biggest value? (a) 5 (b) -3.04 (c) -5 (d) -0.3 d Which is the smallest value? (a) 5 (b) -1 (c) -7 (d) 9 (e) -16 e Which is the second smallest value? (a) -76 (b) -0.4 (c) -0.26 b Which is the smallest value? (a) -5 (b) 0 (c) -20 (d) -3/7 c What is the biggest value in 4, 0.2, 0.9, 1, -9/10? 4 Which is the third biggest value? (a) -2/5 (b) 25 (c) 5 (d) -5 a Which is the second smallest value? (a) -4 (b) -453 (c) -0.3 a What is the third biggest value in -0.4, -3/2, -5? -5 Which is the second biggest value? (a) 0.2 (b) -1/4 (c) 3 (d) -13 a What is the second biggest value in 7, -5, 31, 1? 7 What is the fourth smallest value in -2/15, -3/5, -25, -2.74? -2/15 What is the smallest value in 7.2, -4/9, -2/7?
{ "pile_set_name": "DM Mathematics" }
-930, -882, -826? 4*z**2 + 12*z - 1042 What is the f'th term of 3293193, 3293195, 3293197, 3293199? 2*f + 3293191 What is the c'th term of 257198, 257200, 257202, 257204, 257206? 2*c + 257196 What is the k'th term of 53, 34, 17, -4, -35? -k**3 + 7*k**2 - 33*k + 80 What is the u'th term of -1046, -4168, -9372, -16658, -26026, -37476? -1041*u**2 + u - 6 What is the r'th term of 7029, 6847, 6673, 6513, 6373, 6259? r**3 - 2*r**2 - 183*r + 7213 What is the y'th term of -176, -36, 104, 244, 384? 140*y - 316 What is the m'th term of 624, 539, 398, 201? -28*m**2 - m + 653 What is the p'th term of 4, 11, 42, 115, 248, 459? 3*p**3 - 6*p**2 + 4*p + 3 What is the t'th term of -1136, -1040, -946, -854, -764? -t**2 + 99*t - 1234 What is the c'th term of -30528, -30448, -30366, -30282, -30196? c**2 + 77*c - 30606 What is the y'th term of -7631645, -7631643, -7631641, -7631639? 2*y - 7631647 What is the q'th term of 48, 90, 186, 336? 27*q**2 - 39*q + 60 What is the p'th term of 109778, 109780, 109784, 109790, 109798, 109808, 109820? p**2 - p + 109778 What is the o'th term of -86603, -86599, -86595, -86591? 4*o - 86607 What is the t'th term of 11204, 22391, 33576, 44759? -t**2 + 11190*t + 15 What is the u'th term of 1138, 913, 682, 445, 202, -47, -302? -3*u**2 - 216*u + 1357 What is the i'th term of -54, -397, -1316, -3099, -6034, -10409, -16512, -24631? -48*i**3 - 7*i + 1 What is the j'th term of 1109, 2187, 3251, 4301, 5337? -7*j**2 + 1099*j + 17 What is the n'th term of 1230179, 1230178, 1230177, 1230176? -n + 1230180 What is the z'th term of -745, -729, -713? 16*z - 761 What is the u'th term of 52, -29, -136, -269, -428, -613, -824? -13*u**2 - 42*u + 107 What is the h'th term of 3428, 3442, 3464, 3494? 4*h**2 + 2*h + 3422 What is the i'th term of -88, -325, -720, -1273, -1984, -2853, -3880? -79*i**2 - 9 What is the z'th term of 75, 107, 71, -33, -205? -34*z**2 + 134*z - 25 What is the r'th term of -41601, -166395, -374385, -665571, -1039953, -1497531? -41598*r**2 - 3 What is the k'th term of -1189, -1169, -1149, -1129, -1109? 20*k - 1209 What is the q'th term of -23087, -92318, -207695, -369212, -576863? q**3 - 23079*q**2 - q - 8 What is the l'th term of 3013, 4495, 5977, 7459, 8941? 1482*l + 1531 What is the q'th term of 2175, 2191, 2199, 2199, 2191, 2175? -4*q**2 + 28*q + 2151 What is the y'th term of -883, -895, -929, -997, -1111? -2*y**3 + y**2 - y - 881 What is the z'th term of -259, -1015, -2967, -6715, -12859, -21999, -34735, -51667? -100*z**3 + 2*z**2 - 62*z - 99 What is the n'th term of 45982, 45986, 45992, 46000? n**2 + n + 45980 What is the t'th term of 59617, 119218, 178819, 238420? 59601*t + 16 What is the m'th term of -6454, -12917, -19386, -25861, -32342, -38829? -3*m**2 - 6454*m + 3 What is the y'th term of -453, -3645, -12285, -29091, -56781, -98073, -155685, -232335? -453*y**3 - 6*y**2 - 3*y + 9 What is the s'th term of -88, -412, -958, -1726, -2716, -3928, -5362? -111*s**2 + 9*s + 14 What is the w'th term of 82, 635, 2152, 5119, 10022, 17347, 27580, 41207? 81*w**3 - 4*w**2 - 2*w + 7 What is the a'th term of 9574, 19127, 28646, 38113, 47510? -3*a**3 + a**2 + 9571*a + 5 What is the r'th term of 42, 233, 426, 621, 818, 1017, 1218? r**2 + 188*r - 147 What is the x'th term of 243, 493, 743? 250*x - 7 What is the v'th term of 16850, 33688, 50526, 67364, 84202, 101040? 16838*v + 12 What is the z'th term of 3, 14, 99, 312, 707, 1338, 2259, 3524? 9*z**3 - 17*z**2 - z + 12 What is the q'th term of -51, -119, -179, -225, -251, -251? q**3 - 2*q**2 - 69*q + 19 What is the l'th term of -1595, -6466, -14615, -26048, -40771, -58790, -80111, -104740? -l**3 - 1633*l**2 + 35*l + 4 What is the n'th term of -7260, -14525, -21794, -29067, -36344? -2*n**2 - 7259*n + 1 What is the g'th term of -3418, -6815, -10212, -13609, -17006? -3397*g - 21 What is the h'th term of -92, -203, -326, -461, -608, -767, -938? -6*h**2 - 93*h + 7 What is the w'th term of -37996, -75988, -113980, -151972, -189964, -227956? -37992*w - 4 What is the n'th term of 980, 1920, 2816, 3668, 4476, 5240, 5960? -22*n**2 + 1006*n - 4 What is the o'th term of -1414, -5588, -12552, -22312, -34874, -50244, -68428? -o**3 - 1389*o**2 - 24 What is the u'th term of -718850, -718848, -718844, -718838? u**2 - u - 718850 What is the s'th term of -88787, -355129, -799041, -1420529, -2219599, -3196257, -4350509? -s**3 - 88779*s**2 + 2*s - 9 What is the u'th term of 459, 478, 521, 588, 679, 794, 933? 12*u**2 - 17*u + 464 What is the c'th term of 10228, 40939, 92122, 163771, 255880, 368443, 501454? -c**3 + 10242*c**2 - 8*c - 5 What is the k'th term of -1362, -2272, -3182? -910*k - 452 What is the j'th term of -72757, -72758, -72759, -72760, -72761, -72762? -j - 72756 What is the u'th term of 62, 192, 328, 470? 3*u**2 + 121*u - 62 What is the x'th term of -176564, -353134, -529694, -706238, -882760, -1059254, -1235714? x**3 - x**2 - 176574*x + 10 What is the w'th term of -39, -85, -243, -567, -1111, -1929, -3075? -9*w**3 - 2*w**2 + 23*w - 51 What is the w'th term of -270, -497, -676, -795, -842? 2*w**3 + 12*w**2 - 277*w - 7 What is the d'th term of 58041, 116087, 174135, 232185, 290237, 348291? d**2 + 58043*d - 3 What is the g'th term of -16897, -33801, -50705? -16904*g + 7 What is the z'th term of -1279, -2546, -3791, -5002, -6167, -7274? 2*z**3 - z**2 - 1278*z - 2 What is the k'th term of -729, -2926, -6587, -11712, -18301, -26354? -732*k**2 - k + 4 What is the r'th term of 122, 225, 350, 509, 714, 977, 1310, 1725? 2*r**3 - r**2 + 92*r + 29 What is the h'th term of 152, 457, 762, 1067, 1372? 305*h - 153 What is the f'th term of 388832, 388831, 388830, 388829, 388828, 388827? -f + 388833 What is the y'th term of -2101, -4205, -6311, -8419, -10529? -y**2 - 2101*y + 1 What is the g'th term of -1332, -2320, -3308? -988*g - 344 What is the h'th term of -22, -403, -1044, -1951, -3130, -4587, -6328, -8359? -h**3 - 124*h**2 - 2*h + 105 What is the b'th term of 11632, 11616, 11600? -16*b + 11648 What is the u'th term of 1756, 1792, 1858, 1960, 2104? u**3 + 9*u**2 + 2*u + 1744 What is the i'th term of 118, 434, 938, 1612, 2438? -3*i**3 + 112*i**2 + i + 8 What is the y'th term of -42, 52, 208, 426, 706? 31*y**2 + y - 74 What is the v'th term of 6789, 13580, 20371, 27162? 6791*v - 2 What is the q'th term of 709083, 709085, 709089, 709095? q**2 - q + 709083 What is the z'th term of 18, 39, 78, 141, 234, 363? z**3 + 3*z**2 + 5*z + 9 What is the v'th term of -70541, -141076, -211611, -282146, -352681? -70535*v - 6 What is the q'th term of -125651, -251307, -376963, -502619, -628275? -125656*q + 5 What is the n'th term of -39940, -39935, -39954, -40003, -40088, -40215? -n**3 - 6*n**2 + 30*n - 39963 What is the d'th term of -165, 150, 469, 792? 2*d**2 + 309*d - 476 What is the k'th term of 471, 561, 787, 1215, 1911, 2941? 11*k**3 + 2*k**2 + 7*k + 451 What is the n'th term of 13560, 27155, 40750? 13595*n - 35 What is the q'th term of 237, 497, 1175, 2481, 4625, 7817, 12267? 35*q**3 - q**2 + 18*q + 185 What is the u'th term of 1157, 2583, 4011, 5441? u**2 + 1423*u - 267 What is the l'th term of -590652, -590654, -590656, -590658, -590660, -590662? -2*l - 590650 What is the p'th term of 539, 538, 547, 572, 619, 694, 803, 952? p**3 - p**2 - 5*p + 544 What is the y'th term of -121, -36, 195, 644, 1383, 2484? 12*y**3 + y**2 - 2*y - 132 What is the v'th term of 1974264, 1974262, 1974260, 1974258, 1974256, 1974254? -2*v + 1974266 What is the t'th term of -411982, -411993, -412018, -412063, -412134, -412237, -412378? -t**3 - t**2 - t - 411979 What is the n'th term of -10540, -21070, -31610, -42166, -52744, -63350? -n**3 + n**2 - 10526*n - 14 What is the n'th term of 447905, 447906, 447907, 447908? n + 447904 What is the l'th term of 56, 224, 556, 1118, 1976, 3196, 4844, 6986? 11*l**3 + 16*l**2 + 43*l - 14 What is the j'th term of 852, 3254, 7188, 12642, 19604, 28062, 38004, 49418? -2*j**3 + 778*j**2 + 82*j - 6 What is the a'th term of 14030, 14022, 14010, 13994, 13974? -2*a**2 - 2*a + 14034 What is the g'th term of -250, -68, 558, 1634, 3166, 5160, 7622? g**3 + 216*g**2 - 473*g + 6 What is the z'th term of -51, -194, -367, -570, -803? -15*z**2 - 98*z + 62 What is the t'th term of -714, -1067, -1420, -1773, -2126, -2479? -353*
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of 12556? 5 What is the tens digit of 1231? 3 What is the units digit of 55178? 8 What is the units digit of 4713? 3 What is the units digit of 1462? 2 What is the thousands digit of 1023? 1 What is the units digit of 2063? 3 What is the units digit of 15809? 9 What is the thousands digit of 66958? 6 What is the hundreds digit of 628? 6 What is the tens digit of 14125? 2 What is the tens digit of 12343? 4 What is the hundreds digit of 229? 2 What is the thousands digit of 12640? 2 What is the units digit of 6855? 5 What is the units digit of 1059? 9 What is the thousands digit of 15224? 5 What is the hundreds digit of 1623? 6 What is the hundreds digit of 3735? 7 What is the tens digit of 20115? 1 What is the thousands digit of 16037? 6 What is the hundreds digit of 844? 8 What is the tens digit of 22598? 9 What is the hundreds digit of 45393? 3 What is the hundreds digit of 108086? 0 What is the tens digit of 7151? 5 What is the tens digit of 5301? 0 What is the tens digit of 144? 4 What is the tens digit of 5005? 0 What is the hundreds digit of 3131? 1 What is the hundreds digit of 1667? 6 What is the hundreds digit of 10288? 2 What is the units digit of 58623? 3 What is the thousands digit of 4501? 4 What is the units digit of 1361? 1 What is the thousands digit of 58923? 8 What is the tens digit of 514? 1 What is the hundreds digit of 2732? 7 What is the hundreds digit of 1644? 6 What is the ten thousands digit of 67026? 6 What is the tens digit of 284? 8 What is the ten thousands digit of 12549? 1 What is the hundreds digit of 993? 9 What is the thousands digit of 43691? 3 What is the units digit of 768? 8 What is the units digit of 57947? 7 What is the thousands digit of 3673? 3 What is the tens digit of 1430? 3 What is the thousands digit of 58076? 8 What is the units digit of 2591? 1 What is the units digit of 1991? 1 What is the ten thousands digit of 12814? 1 What is the hundreds digit of 699? 6 What is the hundreds digit of 1441? 4 What is the units digit of 111273? 3 What is the ten thousands digit of 13473? 1 What is the tens digit of 947? 4 What is the units digit of 30007? 7 What is the thousands digit of 1009? 1 What is the thousands digit of 2480? 2 What is the tens digit of 20334? 3 What is the thousands digit of 3059? 3 What is the tens digit of 1456? 5 What is the units digit of 108366? 6 What is the tens digit of 3215? 1 What is the tens digit of 1289? 8 What is the thousands digit of 4109? 4 What is the tens digit of 6121? 2 What is the thousands digit of 1256? 1 What is the thousands digit of 4825? 4 What is the units digit of 7047? 7 What is the thousands digit of 108262? 8 What is the ten thousands digit of 15004? 1 What is the thousands digit of 1744? 1 What is the thousands digit of 2191? 2 What is the ten thousands digit of 48801? 4 What is the units digit of 25789? 9 What is the units digit of 3104? 4 What is the hundreds digit of 9372? 3 What is the hundreds digit of 923? 9 What is the ten thousands digit of 31427? 3 What is the units digit of 344? 4 What is the hundreds digit of 69437? 4 What is the units digit of 7861? 1 What is the thousands digit of 3860? 3 What is the tens digit of 3763? 6 What is the units digit of 16624? 4 What is the hundreds digit of 544? 5 What is the units digit of 1928? 8 What is the tens digit of 2270? 7 What is the ten thousands digit of 162823? 6 What is the thousands digit of 4087? 4 What is the tens digit of 1871? 7 What is the units digit of 8664? 4 What is the hundreds digit of 87516? 5 What is the tens digit of 24939? 3 What is the units digit of 1342? 2 What is the units digit of 1144? 4 What is the units digit of 97287? 7 What is the hundreds digit of 879? 8 What is the hundreds digit of 24794? 7 What is the ten thousands digit of 64799? 6 What is the thousands digit of 22080? 2 What is the tens digit of 2096? 9 What is the tens digit of 2486? 8 What is the tens digit of 22231? 3 What is the hundreds digit of 8250? 2 What is the tens digit of 33759? 5 What is the tens digit of 7410? 1 What is the thousands digit of 1031? 1 What is the units digit of 35300? 0 What is the hundreds digit of 2070? 0 What is the hundreds digit of 8254? 2 What is the units digit of 12152? 2 What is the hundreds digit of 3283? 2 What is the thousands digit of 1840? 1 What is the tens digit of 333? 3 What is the thousands digit of 13697? 3 What is the tens digit of 2456? 5 What is the tens digit of 3007? 0 What is the units digit of 4819? 9 What is the units digit of 2090? 0 What is the hundreds digit of 6274? 2 What is the units digit of 15331? 1 What is the units digit of 682? 2 What is the ten thousands digit of 10779? 1 What is the units digit of 17560? 0 What is the thousands digit of 17485? 7 What is the tens digit of 15152? 5 What is the hundreds digit of 2043? 0 What is the hundreds digit of 692? 6 What is the tens digit of 6048? 4 What is the tens digit of 15661? 6 What is the ten thousands digit of 26329? 2 What is the thousands digit of 25708? 5 What is the ten thousands digit of 39581? 3 What is the hundreds digit of 2828? 8 What is the thousands digit of 66266? 6 What is the tens digit of 121? 2 What is the units digit of 15196? 6 What is the tens digit of 98776? 7 What is the thousands digit of 2058? 2 What is the units digit of 1080? 0 What is the tens digit of 2949? 4 What is the units digit of 257? 7 What is the hundreds digit of 548? 5 What is the units digit of 2064? 4 What is the tens digit of 1269? 6 What is the hundreds digit of 14487? 4 What is the tens digit of 2153? 5 What is the thousands digit of 12561? 2 What is the thousands digit of 13484? 3 What is the hundreds digit of 776? 7 What is the units digit of 460? 0 What is the units digit of 4242? 2 What is the thousands digit of 80434? 0 What is the tens digit of 41762? 6 What is the units digit of 14490? 0 What is the hundreds digit of 7495? 4 What is the units digit of 494? 4 What is the thousands digit of 1071? 1 What is the thousands digit of 5033? 5 What is the units digit of 515? 5 What is the hundreds digit of 9704? 7 What is the hundreds digit of 385? 3 What is the units digit of 2272? 2 What is the thousands digit of 13156? 3 What is the hundreds digit of 2820? 8 What is the units digit of 50457? 7 What is the thousands digit of 3870? 3 What is the thousands digit of 7484? 7 What is the hundreds digit of 41932? 9 What is the hundreds digit of 844? 8 What is the thousands digit of 23832? 3 What is the tens digit of 785? 8 What is the units digit of 371? 1 What is the hundreds digit of 433? 4 What is the units digit of 1763? 3 What is the tens digit of 23426? 2 What is the thousands digit of 5028? 5 What is the tens digit of 469? 6 What is the tens digit of 10146? 4 What is the hundreds digit of 55530? 5 What is the hundreds digit of 1044? 0 What is the tens digit of 8583? 8 What is the hundreds digit of 1983? 9 What is the hundreds digit of 1876? 8 What is the hundreds digit of 4061? 0 What is the units digit of 44794? 4 What is the units digit of 997? 7 What is the thousands digit of 19188? 9 What is the hundreds digit of 293? 2 What is the units digit of 108889? 9 What is the tens digit of 5235? 3 What is the thousands digit of 2424? 2 What is the units digit of 5755? 5 What is the units digit of 2843? 3 What is the tens digit of 92? 9 What is the ten thousands digit of 43617? 4 What is the units digit of 52928? 8 What is the units digit of 1976? 6 What is the tens digit of 53503? 0 What is the ten thousands digit of 65955? 6 What is the units digit of 3191? 1 What is the hundreds digit of 981? 9 What is the units digit of 56140? 0 What is the tens digit of 9537? 3 What is the hundreds digit of 14701? 7 What is the units digit of 653? 3 What is the thousands digit of 8810? 8 What is the tens digit of 56408? 0 What is the hundreds digit of 293? 2 What is the hundreds digit of 5885? 8 What is the hundreds digit of 16434? 4 What is the thousands digit of 1518? 1 What is the units digit of 16867? 7 What is the units digit of 111562? 2 What is the hundreds digit of 1102? 1 What is the units digit of 1058? 8 What is the units digit of 130183? 3 What is the ten thousands digit of 28391? 2 What
{ "pile_set_name": "DM Mathematics" }
7, r, -1/6, -3? -1/6 Let s = 553.1 + -529. Let r = 24.5 - s. Which is the nearest to 0? (a) r (b) 7/4 (c) -4 a Let p = 9519.7 + -9525. What is the closest to 2 in 4, -0.2, p? 4 Let h(p) = -4*p**2 + 5*p - 9. Let f be h(7). Let d = f + 169. Which is the closest to d? (a) 3/4 (b) -0.22 (c) 0.4 b Let i be 9/(-66)*9/(189/329). Let w = 101/55 - 11/5. Let j = i + w. Which is the nearest to -3/5? (a) j (b) 1 (c) -1 c Let i be 2/(-3) + (1 - 3)*10/60. What is the nearest to i in 25, 3/2, -2/7? -2/7 Let t(u) = -10*u**2 - u. Let z be t(-1). Suppose -5*c - 40 = 5*x, 5*c + 138 - 92 = x. Let g be (27/6)/c*2/z. What is the closest to -1 in -4, g, -5? g Let t = 0.24 - -0.16. Let x = -876.8 + 877. Suppose -6 - 6 = 4*i. What is the nearest to 0 in t, x, i? x Let z be 2 + -4 + (-54)/(-45) - -1. Which is the closest to 5/3? (a) z (b) -2 (c) 0.1 (d) -0.07 a Let x = -6.123 - -0.123. Suppose 18 = 2*v + 2*j, 0 = -0*v + v - 3*j + 11. Let i be (-36)/21 + (-4)/(-2). What is the nearest to 0.1 in x, i, v? i Suppose u = 5*z + 14, 2*z - 51*u + 56*u - 16 = 0. What is the closest to -1 in z, 2/13, -3? z Let d = -42677.1 - -42678. Let r be (-20)/132 + (-1)/(-3). What is the closest to 3 in d, r, 4? 4 Let u = 215.9473 - -0.0527. Let j = u + -215.7. Which is the closest to 1/3? (a) -4 (b) j (c) -2/11 b Suppose 3*h + 0*h = -18. Let w = -11.4 + 17.4. Let s = 6.3 - w. Which is the nearest to -0.1? (a) h (b) s (c) 3/7 b Let u be (-12)/4 + (-26)/(-10). Suppose -3*d = -0*d - 18. Suppose -4*r - 7 - d = -5*k, -4*r - 10 = -2*k. What is the nearest to 0 in u, -0.3, k? -0.3 Let d be (-378)/(-49) - ((7 - 3) + 4). What is the nearest to -0.1 in 0, 5/259, d? 0 Let q = 54 - 54.23. Let y = -0.13 - q. Let r be 1/2*1/2. Which is the closest to y? (a) 1 (b) -2 (c) r c Let s = -423 - -278. Let k = s - -136. Which is the nearest to k? (a) -3 (b) 3 (c) 1/4 a Let m = 2734.5 - 2735. What is the nearest to -0.01 in m, 2, 1? m Let y = 7/5 + 1/10. Let x be (-1)/1*(-6 - -6). What is the nearest to -0.1 in x, y, 2/9, 5? x Let a = -718 + 721.53. Let v = a + -3.4. Let d = 1.87 + v. What is the closest to d in -1/3, -4, -0.2? -0.2 Let u = 281 + -45. Suppose -u*m = -245*m. Which is the closest to -1/2? (a) 5 (b) m (c) 0.3 b Let m = 9.2 + -10. Let j be (-5)/3*4/10. Let a be 1320/825*8/(-96). What is the nearest to 2 in j, a, m? a Let h = 7664 - 7662. Let x = -34/3 - -12. Which is the closest to h? (a) x (b) -5 (c) 0.3 a Let k be 1/(-510)*8*(-135)/(-150). Which is the nearest to -1/2? (a) 4 (b) k (c) -0.4 c Let y be 24/14 - (0 + 2). Let d = -255 - -112. Let o = -145 - d. Which is the closest to o? (a) 5 (b) y (c) 1/2 b Let g = 6.904 + 7.096. Which is the closest to g? (a) -3 (b) -4 (c) 0 (d) -7/3 c Let q = 0.9113 + 2.0887. Let h = -48 - -338/7. Let v = 97/10 + -19/2. Which is the closest to 1? (a) q (b) h (c) v b Let k = 2984 + -2983. What is the nearest to k in 2/13, 3/20, -0.1, 2/7? 2/7 Let g be (-28 + (-189)/(-9))*((-30)/(-63))/(-5). Let t be 1/(-13)*-3*(-14)/(-21). What is the nearest to -1 in g, -0.32, t, -5? -0.32 Suppose h - 12 = 3*v + 6, -3*h = 3*v + 6. Let o be h + (114/48 - 5). Which is the closest to o? (a) -3 (b) 1 (c) -5 b Let z be 78*16/(-1152) - (-3)/9. What is the nearest to 1/7 in -7, 1/12, z, 2/3? 1/12 Let f be (-4)/(-6) + (-8 - 1624/(-210)). Let h be ((-30)/18 - -5) + -4. What is the closest to f in 17, -1, h? h Let k be 8*2/4 + (0/9)/15. What is the closest to 5 in -1/3, 2/23, 1, k? k Suppose 131 = 4*z - 37. Let a be (0 - (-2)/z) + 42/147. Let r = 7.84 + -7.9. What is the nearest to 1 in r, -5, a? a Let f = 0.12919 - 0.62919. Which is the closest to 1/2? (a) 0.16 (b) f (c) -0.087 a Let u = -129/44 + 11/4. Which is the nearest to -1/15? (a) u (b) -1/2 (c) -1 (d) -0.11 d Suppose -3*t - 2 = 2*u, -4*t + 2*t + 2*u - 18 = 0. Let y = -24935 - -24947. Which is the nearest to t? (a) y (b) -0.3 (c) 2/3 b Let h = 76.01 - 76. Let l = -345 + 344. What is the nearest to l in 0, -3, h? 0 Suppose -9 + 9 = -216*x. Suppose 5*c - 2 = 8. What is the closest to x in 0.5, 3, c? 0.5 Let z = -0.28 + -13.72. Let t = 12 + z. Let y be (-72)/108*((-27)/(-147))/3*-14. Which is the nearest to 1? (a) 2/5 (b) t (c) y c Let j = -10427 - -10212. Which is the closest to j? (a) -7 (b) 5 (c) 3/5 a Suppose 0 = -4*u + 3*u - 4. Let z = -9.5791 + -0.0809. Let o = 4.66 + z. Which is the nearest to 0.1? (a) -2/5 (b) u (c) o a Let c = 25.8 + 63.2. Let t = -84 + c. What is the closest to -0.1 in t, 2/3, 1/4? 1/4 Let t be -3 + 2/((-1440)/(-2590)) + 138/(-368). Let v = 2 + -5. Which is the nearest to v? (a) 1/2 (b) t (c) 3 (d) -4 d Suppose 2*m = p - 7, 0 = 4*m - 4*p + 6*p - 6. Let s be -5 - (-44)/8 - m/(-6). Let l be (2/(-4))/((-8)/16). What is the nearest to l in -3, -1/2, s? s Let q = 6527 + -6560. What is the nearest to q in 8/5, 0.5, 2? 0.5 Suppose -3*g + 2 + 4 = 0. Suppose -4*u = -u + 36. Let i be 105/(-260) + 9/u + 1. Which is the nearest to -1/8? (a) i (b) -2/7 (c) g a Let k = -0.3 + 0.7. Let g be 71/(-133) + (-177)/(-413). Which is the closest to -1? (a) k (b) g (c) -0.5 c Let d(l) = l**2 + 26*l - 113. Let p be ((-30)/((-35)/(-7)))/(1/5). Let y be d(p). What is the nearest to -1 in -2, y, -6? -2 Let p = -75 - -71.7. Let h = p - -3.2. Let u = -72 + 67. What is the nearest to h in u, -2, -2/11? -2/11 Let d = 338 - 333. Suppose 0 = d*w - 10*w - 3*o + 17, -w + 9 = -5*o. Which is the nearest to 1? (a) 3/8 (b) w (c) 1.3 c Let j = -248 + 88. Let k = 156 + j. Which is the closest to 1? (a) 3 (b) k (c) -3 a Let k = 3535 - 3534.6. Which is the nearest to 1/2? (a) -3 (b) 0 (c) k (d) -20 c Let n = 28933.2 - 28933. What is the nearest to -68 in -2, n, -4? -4 Let c = -33.264 + 33.464. What is the closest to -1 in -0.12, c, -6? -0.12 Let b = -35.93 - -38.6. Let n = 2.77 - b. What is the closest to -3 in -2, 5, n? -2 Let c = 668170 + -668169.9. Let g = -0.02 + 4.02. Let o = 2 + -2.1. What is the nearest to c in -17, g, o? o Suppose 3*t = j + 1, 4*t = t + 4*j + 4. Let a = 1556 + -2631. Let r = a - -1074. What is the nearest to r in 1/6, -3/5, t? -3/5 Let z = 36.89 + -37. Let a = z - -0.41. Let h(i) = -i**3 + 13*i**2 - 12*i + 1. Let n be h(12). What is the closest to -1/4 in a, n, 2/5? a Let i = -37.85 - -36.55. What is the nearest to -0.1 in 0, -2, i? 0 Let f = -112 + 114. Let g = -1.0449 - -0.0449. Which is the nearest to g? (a) f (b) -0.042 (c) -0.1 c Let m = 0.006 + -4.006. Suppose -n = 2*r - 4*r + 2, 3 = 3*n + 3*r. Let u be (-15)/17 + (3 - (2 - n)). What is the nearest to -2 in -3, u, m? -3 Let s = -798.4 + 797.6. Which is the nearest to 7? (a) 2 (b) -0.4 (c) s (d) 3 d Let s be (1 + 0)*6/(-21). Let d = 14.57 + -13.3. Let b = d - -0.73. What is the closest to b in -7, s, 2/11? 2/11 Let f = 27 - 23. Let o = 60.1 + -58.1. What is the closest to -1/4 in 5/3, f, 0.1, o? 0.1 Let x = -2.592 + 3.592. Which is the closest to x? (a) -6 (b) -0.5 (c) 24 b Suppose 0*g + 2*d - 6 = -5*g, 9 = -4*g + 3*d. Let p = 3633.4 + -3633.7. What is the nearest to g in p, 2/5, 0.7? p Let m = 12.9 + -13. Let c = -0.352 + 0.042. Let v be ((-8)/12 + 2)*159/(-742). What is the closest to m in c, -4, v? v Let f be 8 + (-48)/(-7 - -11). Let h be (f/42)/(8/(-12))*2. What is the closest to 2 in -0.3, 1, -1, h? 1 Let c = -3 - 0. Let n(v) = -v**3 + 62*v**2 + 59*v - 3663. Let f be n(62). What is the nearest to -3 in c, 3/7, f? c Let x = -99183.2 - -99183. Let h = 3 - 6. What is the nearest to 0 in -17, h, x? x Let o = 29/43 - 175/387. What is the nearest to 0 in 0.07, o, 5? 0.07 Let h(y) = -y**3 - 51*y**2 + 199*y + 1996. Let r be h(-54). Let p = -0.01 + 0.09. Which is the nearest to 2? (a) r (b) 5/2 (c) -4/5 (d) p b Let l be ((-4)/30)/((16/(-30))/((-40)/50)). Which is the nearest to -9? (a) 114 (b) -5 (c) l b Let v = -508778 + 508778. Let a = 2 + 2. What is the closest to v in 1/4, -3, 0.5, a? 1/4 Let p = 91.7 - -4.5. Let q = -96 + p. What is the closest to q in 8, 0.5, 1? 0.5 Let u = 0.9037 + -16.9037. Which is the closest to -10? (a) 0.1 (b) 3 (c) u (d) 0 c Let p be (-168)/(-1440) - (-4)/30. Which is the closest to 1? (a) p (b) 0 (c) 5 (d) -1 a Let i = 1855/18 - 914/9. Which is the closest to 0.1? (a) 39 (b) i (c) -1 c Let x = 13837/12 + -4613/4. Let z be (-2 - -
{ "pile_set_name": "DM Mathematics" }
be the second derivative of p**4/4 - 37*p**3/2 + 279*p**2 - 1936*p. Solve x(z) = 0 for z. 6, 31 Let a(x) be the second derivative of -1/10*x**5 - 8 - 147*x**2 - 17/6*x**4 - 3*x - 91/3*x**3. Factor a(i). -2*(i + 3)*(i + 7)**2 Let s(z) be the second derivative of z**7/315 - 2*z**6/75 + 2*z**5/75 + z**4/15 - z**3/9 + 1119*z. Let s(u) = 0. What is u? -1, 0, 1, 5 Let s(h) be the second derivative of h**3 + 1/40*h**5 + 10*h - 5/2*h**2 + 0 - 1/4*h**4. Let o(k) be the first derivative of s(k). Let o(q) = 0. Calculate q. 2 Let c be (-8 + (-2 - -2) + 1)*-1. Let b = c - -19. Factor -55*g + 24*g + b*g - 5*g**3 - 10*g**2. -5*g*(g + 1)**2 Let m(n) be the third derivative of 2*n**7/315 + 29*n**6/180 + 79*n**5/90 + 19*n**4/36 - 11*n**3/3 - 5691*n**2. Determine u, given that m(u) = 0. -11, -3, -1, 1/2 Let h(q) be the second derivative of 0*q**4 - 74*q + 0*q**2 + 1/15*q**6 + 0 + 0*q**3 + 1/10*q**5. Factor h(s). 2*s**3*(s + 1) Let g(i) be the second derivative of i**7/630 - 7*i**6/36 + 17*i**5/15 + 3*i**4/4 + 6*i**2 - 38*i - 2. Let m(v) be the third derivative of g(v). Solve m(f) = 0. 1, 34 Let v = 122257 + -855787/7. Find x such that 0*x + 0*x**3 + 0 + 0*x**2 + 20/7*x**4 + v*x**5 = 0. -5/3, 0 Let y be (-4)/26 - (-42)/273. Factor 6 - 2 + y - 4*i - 16*i**2 + 34*i. -2*(i - 2)*(8*i + 1) Let t(o) = 6*o + 1. Let q be t(0). Let z be (-36)/9 + 24/6*q. What is r in 1/8*r**3 + z*r**2 + 0*r + 0 + 1/8*r**4 = 0? -1, 0 Suppose 0 = x - 7 + 5. Suppose 11*h = 4*h + 7. Factor 16*u**x + 3 - 14 - 32*u - h + 28*u. 4*(u - 1)*(4*u + 3) Let k be (-4302)/(-378) + (-414)/54. Determine l so that 9/7*l**3 - 8/7 + 43/7*l**2 + k*l = 0. -4, -1, 2/9 Let m be (-14)/4*1448/(-1267). Let 0 - 8/13*d**m - 2/13*d + 8/13*d**2 + 6/13*d**5 - 4/13*d**3 = 0. What is d? -1, 0, 1/3, 1 Let g(r) = 42*r**2 + 59*r + 3*r**2 - 79*r + r**3 + 65*r + 46. Let u be g(-44). Factor 2/7*i**3 + 0 + 0*i**u - 2/7*i. 2*i*(i - 1)*(i + 1)/7 Let k(g) be the third derivative of 39*g**2 + 0 + 5*g**3 + 17/8*g**4 - 4/35*g**7 - 2/5*g**6 + g - 1/10*g**5 - 1/112*g**8. Solve k(l) = 0 for l. -5, -2, -1, 1 Let c(w) be the second derivative of 41*w - 1/180*w**5 - 1/6*w**3 + 0 + 1/18*w**4 + 2/9*w**2. Factor c(v). -(v - 4)*(v - 1)**2/9 Let x(b) be the third derivative of b**6/120 - 2*b**5/5 + 8*b**4 + 25*b**3/3 - 2*b**2 - 67. Let g(q) be the first derivative of x(q). Let g(r) = 0. What is r? 8 Let m = -137990 + 137992. What is l in 0 + 9*l**3 - 3*l - 33/2*l**m = 0? -1/6, 0, 2 Suppose q + 3*i = 5*i + 14, 4*q - 4 = -5*i. Suppose 3*w + 12 = q*w. Solve -j**2 + 10 - 7 - 6 + w*j = 0. 1, 3 Let k(g) be the third derivative of -g**8/6720 + g**7/336 - g**6/60 + g**5/60 + 10*g**3 + g**2 + 13. Let c(b) be the third derivative of k(b). Factor c(w). -3*(w - 4)*(w - 1) Suppose -2*z**5 - 312*z**3 - 6608*z**2 - 1892 - 1980 - 9064*z - 100*z**4 - 1202*z**3 = 0. Calculate z. -22, -4, -1 What is x in 15713 - 399892 + 2778499 - 6920*x + 5*x**2 = 0? 692 Let f(z) be the first derivative of -3/80*z**6 + 0*z**3 - 1/20*z**5 + 0*z**4 + 3*z**2 + 0*z + 8. Let t(g) be the second derivative of f(g). Solve t(a) = 0. -2/3, 0 Let d be 4840/66 - (-11 - 4)*2/(-12)*-2. Factor d*v + 0 + 5/3*v**2. 5*v*(v + 47)/3 Let y be 18200/(-360) + 51 - (2 + ((-176)/90)/1). Factor -10*z + y*z**2 - 52/5. 2*(z - 26)*(z + 1)/5 Let p be (10/(-4))/((-450)/540). Let x = -24/473 - -10/43. Factor 0*t**p + 0*t - 2/11*t**2 + 0 + x*t**4. 2*t**2*(t - 1)*(t + 1)/11 Suppose -45*s + 154 = -71. Let z(f) be the first derivative of 1/5*f**s + 0*f**2 + f - 11 - 2/3*f**3 + 0*f**4. Determine y so that z(y) = 0. -1, 1 Let y(f) be the third derivative of f**7/210 - f**6/8 + 6*f**5/5 - 35*f**4/6 + 16*f**3 + 626*f**2. What is n in y(n) = 0? 2, 3, 8 Let l(f) be the second derivative of -f**4/84 + 8*f**3/21 + 57*f**2/14 - 3*f + 64. Determine h, given that l(h) = 0. -3, 19 Let l(b) be the first derivative of -b**8/840 - b**7/105 + 5*b**3/3 + 18. Let d(w) be the third derivative of l(w). Factor d(i). -2*i**3*(i + 4) Let f(q) = 2*q**3 + 3*q**2 + 2*q - 2. Let z be f(-3). Let m be (14/z)/((-2)/10). Factor -4 - o + 2*o - 5*o**2 + m*o + 6*o**2. (o - 1)*(o + 4) Let b be ((-123)/164)/(3/(-40)). Factor 6*y**2 - 45 - b - y**2 - 50*y. 5*(y - 11)*(y + 1) Let a(w) be the first derivative of 1/120*w**6 - 19*w + 5/48*w**4 - 1/12*w**3 - 1/20*w**5 + 0*w**2 - 23. Let c(v) be the first derivative of a(v). Factor c(o). o*(o - 2)*(o - 1)**2/4 Let q(d) be the third derivative of -d**6/480 + d**5/10 - 101*d**4/96 - 21*d**3/4 + 14*d**2 + 216*d + 2. Let q(c) = 0. Calculate c. -1, 7, 18 Let l(z) be the first derivative of -z**8/560 + z**6/120 + z**3/3 - 49*z**2/2 - 34. Let d(n) be the third derivative of l(n). Factor d(h). -3*h**2*(h - 1)*(h + 1) Let u be (14/4 - 2)*(-468)/(-2379). Let w = u + 2228/305. Solve -32/5*r + 8/5 - 2/5*r**5 + 10*r**2 - w*r**3 + 14/5*r**4 = 0 for r. 1, 2 Let y be 44/144 + ((-1495)/2340 - (-10)/18). Find x such that 0 + 2/9*x**3 - 1/9*x**2 - y*x + 1/9*x**4 = 0. -2, -1, 0, 1 Let f(g) be the second derivative of 1/6*g**4 + 2*g**3 + 0 + 162*g + 8*g**2. Factor f(s). 2*(s + 2)*(s + 4) Let w(g) = 1. Let t(f) = -2*f**2 - 30*f - 10. Let r(y) = -t(y) - 10*w(y). Suppose r(u) = 0. Calculate u. -15, 0 Let o(x) be the second derivative of x**6/165 - 57*x**5/110 + 261*x**4/22 + 841*x**3/33 - 442*x. Find m such that o(m) = 0. -1, 0, 29 Let x(c) be the first derivative of -47 - 16/51*c**3 + 7/34*c**4 - 2/85*c**5 - 16/17*c**2 + 0*c. Find t, given that x(t) = 0. -1, 0, 4 Let o(v) be the first derivative of -3*v**4/4 - 583*v**3 + 3*v**2/2 + 1749*v - 288. Solve o(m) = 0. -583, -1, 1 Find q, given that 3*q**2 - 2 + 112 - 82*q - 20*q - 11 = 0. 1, 33 Let m = -145 + 128. Let b be ((m/4)/17)/(-2). Determine t so that 1/4*t + 1/8*t**4 - b - 1/4*t**3 + 0*t**2 = 0. -1, 1 Suppose -14*h - 7*h = 11*h. Solve 5 + 30*r + h - 2*r**2 + 7 + 18 - 2*r = 0. -1, 15 Let z be (0/(-101))/67*2/4 + (-16)/(-11). Let 60/11 - 158/11*s - z*s**4 + 168/11*s**3 - 4*s**2 - 10/11*s**5 = 0. What is s? -5, -1, 2/5, 1, 3 Determine d, given that -785 - 1/2*d**3 - 391*d**2 + 2353/2*d = 0. -785, 1, 2 Let n(w) = -3*w**2 - 181*w - 1532. Let g(p) = -4*p**2 - 158*p - 1531. Let z(a) = 8*g(a) - 9*n(a). Factor z(r). -5*(r - 77)*(r + 4) Let c(v) = -2*v**3 - 30*v**2 - 88*v - 74. Let f(x) = 10*x**3 + 149*x**2 + 433*x + 371. Let j(n) = 22*c(n) + 4*f(n). Factor j(u). -4*(u + 1)*(u + 3)*(u + 12) Let p be (27/12 + -3)*(5 + -33). Suppose -21*s + 40*s = p*s. Factor -1/6*b**3 + 0*b**2 + 0 + s*b. -b**3/6 Suppose o = r - 1, 66*o - 65*o = -2*r + 14. Let z be 297/36 + -3 - r. Factor 0*p**3 + z*p**4 - 1/4*p**2 + 0*p + 0. p**2*(p - 1)*(p + 1)/4 Let s(u) be the first derivative of -2*u**3/21 + 213*u**2/7 + 428*u/7 + 1120. Factor s(m). -2*(m - 214)*(m + 1)/7 Let p(l) be the third derivative of l**8/784 - 113*l**7/490 + 579*l**6/56 + 2419*l**5/20 + 3481*l**4/14 - 24*l**2 + 63*l. Let p(q) = 0. Calculate q. -4, -1, 0, 59 Let z(v) = -12*v**2 - 146*v - 20. Let k be z(-12). Let w(y) be the third derivative of 18*y**2 + 2/21*y**3 + 0 + 0*y - 1/60*y**5 + 1/14*y**k. Factor w(r). -(r - 2)*(7*r + 2)/7 Let l = -335773/5 + 67673. Factor -144/5*j - 2/5*j**2 - l. -2*(j + 36)**2/5 Suppose 5*i - 4 - 6 = 0. Factor -31 - 15*m**i + 7 + 50*m - 11*m**2 - m + m**3. (m - 24)*(m - 1)**2 Suppose -293*t + 291*t + 26 = d, -2*d + 3*t = -45. Factor -d*n - 10 - 72/5*n**2. -2*(6*n + 5)**2/5 Suppose 0 = -369*c - 688 + 2533. Solve -5/4*f**c + 0 + 0*f + 10*f**3 - 60*f**2 + 25/4*f**4 = 0. -3, 0, 4 Let d = 708 - 705. Suppose 9 = d*j - l, -10 = 3*l - 1. Suppose -2/3*a**j + 20/3*a - 50/3 = 0. Calculate a. 5 Let b = -1254 - -881. Let i = -373 - b. Let 1/4*j**4 + 0*j + i - 1/4*j**5 + 1/4*j**3 - 1/4*j**2 = 0. Calculate j. -1, 0, 1 Suppose 242/5*k**2 + 0 - 82/5*k**3 + 6/5*k**4 + 18*k = 0. Calculate k. -1/3, 0, 5, 9 Let i be ((-6)/2 - 0)/(-1). Let x be 4/24*((-242)/(-77) + (2 - 4)). Factor 0 + 2/21*s**i + x*s - 2/7*s**2. 2*s*(s - 2)*(s - 1)/21 Let h be (26580/(-1470) - -18)*7/(-1). Let -h - 2*z - 2/7*z**4 - 10/7*z**3 - 18/7*z**2 = 0. What is z? -2, -1 Let r(q) be the second derivative of q**7/315 - 2*q**6/25 - 7*q**5/50 + 19*q**4/45 - 14*q - 120. Solve r(n) = 0 for n. -2, 0, 1, 19 Factor 9502 + 2*l**3 + 0*l**3 + 16948 + 28759*l - 458*l**2 - 2769*l. 2*(l - 115)**2*(l + 1) Let f(d) be the first derivative of d**6/135 + d**5/15 - d**4/54 - 2*d*
{ "pile_set_name": "DM Mathematics" }