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= -5*a, m*a = 6*a + 4*o + 4 for a.
0
Suppose -2*k = -g + 41, 5*g = -k + 6*k + 225. Let u = -44 + g. Solve -u*d + 20 - 45 = 0, 0 = 4*a + 4*d + 8 for a.
3
Let m(w) = w**3 + 14*w**2 - 50*w + 20. Let i = 139 - 156. Let u be m(i). Solve t - 11 = 5*y, 3*y = 3*t + u - 12 for y.
-2
Suppose -2*g - 16 = 0, 167*k - 43 = 164*k - 4*g. Solve 15 = -2*q + u, -2*q = -4*u + k + 5 for q.
-5
Let z be (-28)/8*40/(-70)*5. Solve 5*m - z = 2*a, -10*m = 2*a - 14*m + 6 for a.
5
Suppose 414 - 438 = -12*t. Solve -5*y + 3*x = -11, 3*x - t*x - 7 = -y for y.
4
Suppose 0 = 5*b + 43*m - 42*m - 17, 2*b = 2*m + 14. Solve -242*o = -5*t - 237*o + 5, 0 = b*t - 3*o - 6 for t.
3
Suppose -3*h + 504 = 18*h. Suppose 27 = h*l - 189. Solve -4*w + v - l = 4*v, 4*v + 12 = 4*w for w.
0
Let z(h) = -h**3 + 2*h**2 + 7*h + 6. Let l = 26 - 16. Let o be 42/l - (10 - 6)/20. Let d be z(o). Solve 5*q = q - d*t - 8, 0 = -t for q.
-2
Let g = -862 - -870. Solve 3*u + 16*v = 12*v + 3, 4*u - g = -4*v for u.
5
Suppose -4*t - 3*c = 498 - 579, 5*t + 5*c - 95 = 0. Solve 0 = 4*s - 5*v + 17, -21*v = -4*s - t*v + 23 for s.
2
Let x be -4*525/140*(-2)/10. Solve x*o + 23 = 3*g + 5, o - 3*g + 16 = 0 for o.
-1
Let b = 1364 - 1366. Let v(m) = 26*m + 56. Let i be v(b). Let t be (2 + -1 - 1)/(-2). Solve t = i*z + 5*k - 3 - 22, 5*k = 3*z + 25 for z.
0
Let r(v) = -13*v - 31. Let h be r(-17). Let n = h - 179. Solve 3*a + 2 = -b - n, -3*a - 4*b = 7 for a.
-5
Let z = -25645 + 25656. Solve -10 = t - 2*b, -4 = -12*b + z*b for t.
-2
Let a = 26 + -20. Let f(w) = -w**2 + 12*w - 35. Let x be f(a). Let j be (x + 0)/(1 + 0). Solve -23 = -4*k - 3*c, k + k - c = -j for k.
2
Let c be 4/(-10) - (-60)/25. Let i = 277 - -9. Let q = i + -284. Solve t - 5 = -4*b + c*b, 8 = q*b for t.
-3
Let a = -29 + 33. Let m = -418 - -431. Solve -5*d + a*l = -d + 12, 0 = 4*d - 5*l + m for d.
-2
Let z be 2/((-2)/3 + (-8700)/612 + 15). Solve -3*p + 5 = -2*v, -z*v + 22*v = -4*p - 24 for p.
-1
Let p be 3 + 0 + (-310 - 5) + 7. Let o = -300 - p. Solve 0 = m - o*n + 3, m - 7 = -m - 3*n for m.
2
Let r be (-1)/6 - (-57)/18. Let m be (98/(-4))/7*(-8)/14. Suppose 23*s = -6*s + 580. Solve 3*z - s = -m*z, r*g + 12 = 3*z for g.
0
Suppose 40*t - 32*t - 40 = 0. Suppose 0 = t*q + 2*v - 7, 5*q - 6 = 3*v - 4*v. Solve 0 = -p + 4*h - q + 2, p + 2*h - 7 = 0 for p.
5
Suppose -14*t = -12*t - 5*b - 32, 0 = t + b - 2. Solve -y + t = -4*v + 29, 0 = -2*y + 5*v - 31 for y.
-3
Suppose -19*f - 2685 = 2331. Let t be (-92)/(-22) + 48/f. Solve -3*w - 11 = -t*w - 2*g, -24 = -3*w - 3*g for w.
5
Suppose -12*k - 22 = -70. Solve 0 = -4*x - k*g, -8 = -3*x + g - 0 for x.
2
Suppose 0 = 2*h, x - 4*h - 17 = -15. Let v be ((-55)/33)/(2/(-6)). Let r(k) = -k**3 + 4*k**2 + 6*k - 1. Let n be r(v). Solve -x*t = -t + 5, -5 = n*a + t for a.
0
Let q = 585 - 582. Suppose -s + 9 + 14 = -q*c, 55 = 5*s - 3*c. Solve 0 = -3*v - 3*b - 6, s*v + 2*b = 3*v + 5 for v.
3
Let d(o) = -o**3 - 6*o**2 - 4*o + 7. Let p be d(-5). Suppose -3*v = p*z - 2, -4*z = -10 + 18. Solve -2*g - 5*a = -0*g - 10, -v*g + 4*a - 8 = 0 for g.
0
Let z(t) = t**3 - 19*t**2 + 90*t - 20. Let m be z(11). Solve -7*v = -6*v - 2*x - 3, -m*x + 3 = 5*v for v.
1
Let o(i) = -6*i - 146. Let u = 123 - 148. Let k be o(u). Solve j - l + 0*l - 4 = 0, -10 = 2*j + k*l for j.
1
Suppose 0 = 8*z - 10*z. Suppose 2*n - 13*n + 275 = z. Solve -5*k = -n, 8*o - 3*o = 2*k - 15 for o.
-1
Let f be (83/166)/((-3)/(-38)) - 12/9. Solve 93*a - 3 = 97*a - f*k, 5*k + 7 = -a for a.
-2
Let b = -63 - -75. Let m = 1180 - 1176. Solve n - 2*j - 7 = m, -3*j = 3*n + b for n.
1
Let w(x) = x**2 + 80*x - 234. Let g be w(3). Solve 9*a + g = 6*a, -5*v + 4*a = -15 for v.
-1
Let l = 29 + -19. Let t = -64 + 66. Let s be ((-2)/6)/(t/(-18)). Solve 4*n - s*a - 35 + l = 0, -3*a + 11 = 5*n for n.
4
Let z be (180/54)/((-15)/18 + 1). Suppose 0 = -p - 15 + z. Solve 3*g = -0*g - p*j - 1, -2*j = g + 1 for g.
3
Let a be ((-138)/(-15))/(-4 + 57/15). Let j = -38 - a. Suppose 4*d + 3*g = 13, -5*g - 1 = 3*d - j. Solve 2*t = 4, -5*t - 6 = 4*m - d*t for m.
-2
Let o = 3325 + -3271. Let t be 1 - (1 + 0 + 34). Let s = o + t. Solve 3*y - n + 4 = n, s = 4*n for y.
2
Let x be (13 - (-1 - -2))*(-34)/(-68). Let k(j) = j + 3. Let t be k(3). Let q be 10*(t/4 + -1). Solve -3*f + x = -5*y - 2*f, -q*y - 2*f = 18 for y.
-2
Suppose 0 = 55*h - 96 - 14. Solve 0 = -4*t - 3*b + 5, h*b - 9 = 2*t + t for t.
-1
Suppose 0 = -5*s + 15, -8 + 11 = -2*b + 3*s. Solve -b*v = -4*i - 27 + 34, 10 = -2*v for i.
-2
Let i(v) = -55 + 63 + 2*v + 27. Let o be i(-15). Suppose 3*g - 20 = -g. Solve o = 5*j, 3 = 4*y - g*j + 12 for y.
-1
Suppose 2*z + 4 = 10. Suppose w = 9 - z. Suppose -3*t + n - w*n = -25, -3 = 3*n. Solve 4*d + x = 20, 2*d + 5*x - t = -0 for d.
5
Suppose 13*i - 2*i = -3586. Let u = -318 - i. Solve 2*q - 4*z = -u, -3*q + 2*z = -2*z + 4 for q.
4
Suppose -26*y + 5 + 4 = 9. Solve 0 = -y*w - 5*w - s - 22, w = -4*s - 12 for w.
-4
Let v be ((-152)/(-12))/((-30)/(-9) - 3). Suppose 4*w = -137 + 1. Let z = w + v. Solve -2*d + z = 2*r - 4*d, 11 = -2*r - d for r.
-3
Suppose q = r + 7, 24*q = 22*q - 4*r - 16. Let p be (80/8 - -5) + -7. Solve q + 10 = 2*n + 4*d, 4*d - p = 0 for n.
2
Suppose -515*u + 522*u = 2240. Solve 4*l - 20 = 0, 323*h - u*h = l + 7 for h.
4
Let w = -200 - 390. Let j = w + 857. Suppose -275 + j = -4*k. Solve -r + 5*q + 12 = k*q, -8 = 3*r + 2*q for r.
0
Suppose 7*i - 11*i = 3*u - 20, 2*u = -5*i + 25. Suppose 5*x + 5 = 10. Solve 6*o + 2*w + x = o, 2*o + 2*w - 2 = u for o.
-1
Let u be 48085/3245 + (-2)/(-11). Solve -3*s + 2*y - u = 0, -y - 21 = 3*s - 5*y for s.
-3
Let s = -120 + 94. Let p(j) = j**3 + 28*j**2 + 53*j + 30. Let r be p(s). Solve 3*d - 5 - 2 = -b, -4*b = -r*d + 36 for d.
4
Let d be 395/2 - (-1)/(8 + -6). Let m = d + -192. Solve -14 = 5*b + 3*y, 5*y + 23 = -2*b + m for b.
-1
Suppose -3*w = -3*f + 57, f - 2*w - 22 = -0*w. Suppose -12 = 2*l - f. Suppose 5*h - 20 - 5 = 0. Solve 2*y + l*c + 2 = 0, 0 = -5*y + c - 6 - h for y.
-2
Suppose -85 = -18*f + 149. Let t be (4/(-18))/(f/(-117)). Solve -t*p - 1 = x - 6, 5*p = -5*x for p.
5
Suppose 3*i + 3*f - 168 = 0, i + 4*i + 4*f - 277 = 0. Suppose -57*a = -i*a - 44. Suppose -12*m + 5 = -a*m. Solve 4*x + 25 = 3*u, 2*u + m*x = -2*u - 8 for u.
3
Let v(g) = g**3 - 2*g**2 - 23*g - 6. Let k be v(6). Suppose 3*l - 2*q - 42 = k, 2*l + 13*q - 28 = 10*q. Solve -2*m + 15 = 5*i - l, -3*i + 23 = 4*m for i.
5
Suppose -5*j + 3*j + 4*f = -28, -5*f = -3*j + 36. Let o be 1*(2 - (-1)/(-1)). Let b = -1 + o. Solve b = 5*z - 20, j*d + 0*z - 24 = -4*z for d.
4
Let n be 455/(-13) + 21 - -20. Suppose h + 2*z = -z - 6, 5*h = -3*z + 18. Solve 5*g = -3*k - 16 + n, 0 = 4*g + 2*k + h for g.
1
Let h(d) = 31*d**2 + 42*d + 13. Let b be h(-1). Solve 0*n + b*n = q - 5, -n = 4*q - 20 for n.
0
Let c be -9*(-15 - -107)*2/4. Let y = c + 416. Solve 2*k + 5 = -l - 4, y*k = -4*l - 12 for k.
-4
Let p(h) be the first derivative of h**4/4 + h**3/3 - 13*h**2/2 - 2*h - 123. Let y be p(-4). Solve 2*u - 4 = -3*r + 8, -y*r + 13 = 3*u for r.
2
Let r(y) = 56*y - 611. Let n be r(11). Solve 3*g = -h + 2*g + 4, -5*h + 20 = -n*g for h.
4
Suppose 17 - 209 = -38*t - 40. Solve -t*n - 2*m + 13 = 3*m, -m + 11 = 5*n for n.
2
Suppose -s - 3*n - 8 = -17, -5*s = n - 59. Solve 2 = 2*w + 2*o - 5*o, -s = -4*w + 2*o for w.
4
Let b(j) = j**2 - 226*j + 3562. Let u be b(17). Solve 2*q + u = 3*y + 4, -3*q = -3*y + 6 for y.
1
Let y be (-1)/(5/(-30)) - -19. Suppose y*q - 23*q - 8 = 0. Solve 2*z + 4*u = -8, -6*z + q*z - 3*u = 7 for z.
-2
Let f(v) = -v**3 + 15*v**2 + 195*v - 247. Let k be f(23). Solve -3*y + 1 = k*l - 5*l, 5*y = -2*l + 2 for l.
1
Suppose -3*u = -2*z + 5, 0*z - 2*z = -2*u - 8. Suppose -z*i = -58 - 54. Solve -2*f = -2*r + 4, 2*f = r - 3*r + i for r.
5
Let y = -23408 - -23414. Solve 2*c - 12 = y*c - z, 5*c - z = -15 for c.
-3
Suppose -34 = -3*k - 5*l, 0 = -k + 3*l - 12. Suppose -k*n = 3*b - 63, -5*b + b = 5*n - 83. Solve 5*u = x, 0*u - 4*x = 2*u + b for u.
-1
Suppose -2*q - 16 = -4*d, -15 + 4 = -3*d + q. Let n be 2*(-5 - -4) - (-1 + -15). Let j = n - 12. Solve k + 5*s = 2*k + 25, -j*s + 10 = -d*k for k.
0
Suppose 661*l - 714*l = -583. Solve -3*h = -5*b + 37, l - 2 = b - h for b.
5
Suppose 0 = 4*b + 14*b - 11988. Suppose 0 = 7*w + 561 - b. Solve 12 = 3*x + 4*a, -3*x = -4*a - a + w for x.
0
Suppose 7*k = 5*t + 2*k + 235, 0 = -2*t + 4*k - 90. L
|
{
"pile_set_name": "DM Mathematics"
}
|
*g + f, 5*g - 16 = -c - 4 for c.
2
Let g = -79084 - -79088. Let w be ((-6)/(-4))/((-2)/(-4)). Solve -2*d = -w*f - 4*d + 23, g*d - 41 = -5*f for f.
5
Let c(i) = 43 + 39*i**2 - 18 + 24*i - 79*i**2 + 39*i**2. Let p be 2/7 - 692/(-28). Let a be c(p). Solve -2*b + g = a, -3*g - g = 5*b - 13 for b.
1
Let b(a) = a. Let q be b(4). Suppose 4*c = -2*o + q*o - 6, 6 = o + c. Solve -3*z - o*s = -0*z - 7, 5*z + 9 = 2*s for z.
-1
Suppose -4*q = -q - 9, -4*q = -2*c + 12. Suppose -16*r + 10*r + c = 0. Let m be 4*(0 + (-21)/(-12)). Solve -3*y - m = -r*b, 2*y + 25 = -3*y for b.
-4
Suppose 0 = 5*m - 35 - 105. Let h be m/6 - (-16)/120*-5. Solve -h*g + 8 = 4*t, -6 = 4*g - 3*t - 14 for g.
2
Suppose 32*l - l - 72 = 7*l. Solve -2*r + 6 = -4*o, 2*o - 4*o + l = r for r.
3
Suppose -10 = f - 21. Suppose -5*l + f*v = 6*v - 45, 5*v = -15. Solve 0 = -4*m + m + l, 0 = -2*t + m - 6 for t.
-2
Let z be ((-337)/14 - -29) + (-2)/(-28). Solve t = 9*f - 5*f - z, 3*f - 21 = -5*t for t.
3
Let q = 2701 + -2699. Solve o = 5, 3*o + q*o = -4*y + 29 for y.
1
Let l(k) = 4*k - 38. Let j = -49 - -64. Let c be l(j). Suppose 0 = -25*h + c*h + 15. Solve -3*x + 0 = h*w - 3, 4*w - 4 = -4*x for x.
1
Let t = -113 + 136. Let r be t/5 - (-12)/(-20). Solve r*m = -k + 2*k - 15, -m - 20 = 3*k for k.
-5
Let t = 10091 - 10088. Solve 0 = -3*k - 2*d - 9, t*d + 10 - 1 = -3*k for k.
-3
Let s = 14 + -10. Suppose 5*w - 10 = -5*v, s*v + 0*w + 5*w = 10. Suppose 39 = 4*h + 3*m, 5*h = 3*m - 1006 + 994. Solve 8*y = 3*y - 15, v = -4*p + h*y - 3 for p.
-3
Suppose m - 46 = -0*m - h, -3*m + 136 = 5*h. Let x = 55 - m. Suppose -42 = b - x*b. Solve b*c + 5 = c, 0 = v + 4*c + 6 for v.
-2
Let p be (1 - 4) + 4/1. Suppose -24 = -5*i + p. Suppose 8*b + 7 = 11*b + l, 4 = -4*b - 4*l. Solve 3*a - i*a - 8 = -4*o, -3*o - b*a + 17 = 0 for o.
3
Let n be -38 - -240 - ((5 - -1) + 0). Let x = -191 + n. Solve -u - 2*h + 5*h = -9, -x*h = 4*u + 32 for u.
-3
Let w(u) = 6*u**2 - 2*u + 2. Let t be w(1). Suppose 2*i + t = 12. Solve -2*h - 7 = 5*n, 2*h = i*n - 2*n - 1 for h.
-1
Let g = -163 + 159. Let j be (-9)/(-3) + -7 - g. Solve -4*q - 3*n = -2*q + 1, q - n - 2 = j for q.
1
Suppose -2*t - 1 = -s, -4*s = 5*t - 31 - 12. Let x(o) = -o**2 + 14*o + 23. Let p be x(s). Let h = p - 68. Solve -3*u - h*v = -9*v + 5, -2*v = 4 for u.
-5
Let p(l) = -252*l - 3525. Let c be p(-14). Solve -4*y + c*t - 29 + 18 = 0, -2*y = -3*t + 7 for y.
-2
Let y(n) = -n**3 - 16*n**2 - 15*n + 39. Let l be y(-15). Let c be 462/l - (-24)/156. Solve 0 = -r + 3*z - 3 - 10, 4*r - 2*z = -c for r.
-1
Let f be (272/32)/((-2)/(-4)). Suppose 13*j = f*j. Let p be (-5)/((-2)/4 - 2). Solve j = h + p*n + 1, 6*h = 5*h + 2*n + 3 for h.
1
Suppose -78*q + 67 = -22*q - 45. Solve q*m - 26 = z - 27, 2*m = 4*z + 8 for z.
-3
Let n(b) = 4*b - 48. Let t be n(12). Solve t = -3*i - 5*o + 24 + 13, 4*o - 12 = 2*i for i.
4
Let q = 13 - -15. Suppose 3*a = 3*o + 24, 2*a + 3*o = 1 + 10. Suppose 9 = -a*z + 37. Solve -4*r - 4*n = -q, n + 26 = z*r + 4*n for r.
5
Suppose 850*y - 857*y + 119 = 0. Suppose 5*u + y - 37 = 0. Solve u*c = f - 2, -5*f - 10 + 3 = -3*c for f.
-2
Let c = 83 - 76. Let r be (20/c - 2)/(22/77). Solve -8 = 3*b + 5*j, b + 8 = -0*j - r*j for b.
4
Let a(t) = t**2 + 2*t + 3. Let l be a(-3). Suppose -7*o + l*o + 16 = 0. Let u be ((-1)/(3/(-2)))/(o/264). Solve 4*i + 2*n + 18 = 0, -2*n - 3 - u = 2*i for i.
-2
Suppose 78 = 27*c - 30. Suppose 0 = -3*i - m + 4, 3*m + 11 = -c. Solve -8 = o + i*o + 2*h, -o = 4*h - 12 for o.
-4
Let q be ((-4)/6)/((-30)/7965). Let d = q + -174. Solve 3*i - 2*c = -5*c - d, 0 = 4*i - c - 11 for i.
2
Suppose -3*y = -0*g + 3*g - 6, -3*y + 22 = -5*g. Solve 7 = -5*x - 4*j, -y*j - 1 = 11 for x.
1
Let l be (-16)/24 + -1*22/(-6). Let h be 12*(152/48 - l). Solve 5 = -4*o - 3*x + 27, -3*o - h*x + 16 = 0 for o.
4
Let q be ((-12)/2)/((-69)/184). Let b = q + -52. Let u = 38 + b. Solve 13 = -u*n - 3*z, -10 = 2*n - 3*z - 3 for n.
-5
Suppose -m + 7 = 4*h + 20, -4*m = 3*h. Solve 5*w - f = 2*w + 6, w - 2*f + m = 0 for w.
3
Suppose 5*t = -2*q + 6, -13*t + q + 0 = 3. Solve -2*i - 38 = 3*z - 13, -3*z + i - 10 = t for z.
-5
Let h(q) = -14*q - 9. Let p be h(-1). Suppose 2*a = p*l - 19, 0 = -3*l + 4*a + 10 + 7. Solve -4*t + l*b + 9 = -t, -4*t + 12 = -b for t.
3
Suppose 43*z + 3 = -11*z + 327. Solve -2*l = -z, 4*m + 5*l + 0*l - 11 = 0 for m.
-1
Let r be (-2 + -8)*2*(87/12)/(-29). Solve -13*f = -11*f - r*k + 22, -f - 17 = -4*k for f.
-1
Suppose 3*j - q = 38 + 20, 0 = j - 4*q - 45. Solve 0 = -3*u + 10*g - 6*g + j, 0 = 5*g + 25 for u.
-1
Let s be 2/5 + (-968)/(-55). Let h(l) = -l**2 + 18*l + 15. Let k be h(s). Solve w - g - 3 = -0*w, 3*w - 5*g - k = 0 for w.
0
Let j = -86 - -42. Let z be j/6*6/(-4). Let k be ((-2)/(-6))/(z/231). Solve -5*b = f + 7, b - 2*b - 3*f = k for b.
-1
Let b be (4/6)/(217/651). Solve -5*j - 4*h + b = -5, 4*h = -2*j - 2 for j.
3
Let y = 3 - 7. Let x be ((-6)/y)/((-3)/(-10)). Suppose -x*h + 23 = 4*g, 2*g - 5*g + h = -3. Solve g*d = 0, 3*k - 4 - 5 = 5*d for k.
3
Let m be 2/5 + (-22)/5. Let j be 1/m - (-18)/8. Let g(f) = 44754*f + 44759. Let u be g(-1). Solve j*z + 4*h + h = -12, u*h = 2*z - 8 for z.
-1
Suppose -2*j - 2*a - 4 = -16, 0 = -j + 2*a + 15. Solve 2*b - 5*l - 4 + j = 0, b + l = -6 for b.
-5
Suppose 0 = -99*k + 63*k + 108. Solve y = -2*c - 2*y + 16, -k*c + 4*y - 10 = 0 for c.
2
Let s be -6*((-72)/16 + 4). Suppose -5*w + s*i - 1 = -7, -3*w - 8 = 4*i. Solve w = -5*g - l + 16, -5*l + 1 - 5 = -3*g for g.
3
Let m be 1 - (-2)/(0 + 2). Suppose -9*v = 18 - 117. Suppose 6 = v*s - 49. Solve r - 9 = m*q, s*q = 5*r - 38 + 13 for q.
-4
Let y(w) = w**2 - 161*w + 479. Let d be y(3). Solve 0 = n - d*f + 21, 9*n + 5*f - 18 = 7*n for n.
-1
Let f be 5187/342 + 4/(-24). Solve 59*y + 9 = r + 58*y, -3*y = f for r.
4
Suppose 24 = 4*s - 2*p, -25*s = -20*s - p - 36. Solve -3*c = 5*l + 16, 4*l + 6 + s = -2*c for l.
-5
Let n = -86 + 121. Suppose -j - 2*h - 5 = -5*h, 0 = 2*h - 10. Suppose j*z + 2 = 52. Solve -z*q - n - 10 = 5*c, -c = 4*q + 21 for q.
-4
Suppose 25 = 76*d - 127. Suppose 15*w = -10 + 70. Suppose 5*g - 3*g - 32 = 0. Solve w*s = -4*p + g, -4*s - 1 = d*p - 15 for p.
1
Let o(p) = -p**3 - 3*p**2 + 3*p + 2. Let v be o(-4). Suppose 23*y - 65 - 24 = 3. Solve 16 = -y*m, f - m + v = 3*f for f.
5
Suppose 4*j - 56 = 4*d, 21*j - 20*j - 30 = -3*d. Let v = j + -16. Solve v*x - 8 = -5*w, 3*x - 7*x - w = -16 for x.
4
Let r = -176 + 188. Suppose 0 = -29*z + r*z + 34. Solve z*x + 2*c = 4, -2*x - 3*c - 11 = -4*c for x.
-3
Let d(j) = -j**3 + 4*j**2 - j + 1. Let y be d(3). Let b be 4 + 32/(-5 + y). Solve 3*x = -3*c + 6, 5*c - 4*x = -3*x - b for c.
-3
Suppose z + 26*f = 30*f + 33, -2*z + 4*f + 42 = 0. Solve -v + z = 3*v - 3*k, 0 = -v + 2*k + 1 for v.
3
Let y(g) = 3*g**3 + 194. Let u be y(0). Let w = -179 + u. Solve 5*z + 5*n + w = 0, -3*z + 19 = -5*n + n for z.
1
Suppose k + 3*v - 223 = -200, -4*k + 5*v = 27. Let r be (-1)/(-1 + 20/21). Suppose k*y = r - 17. Solve -3*c = 2*c - y*f - 17, 0 = -3*f - 3 for c.
3
Let j(d) = d**2 - 9*d - 13. Let i be j(11). Suppose 3 = -i*g + 30. Suppose -2 = -g*a + 4. Solve -s = -2*q + 12, -3*q + 15 = -a*q - 5*s for q.
5
Suppose 1231 = -4*i - 0*z - z, z = 5*i + 1532. Let q = 307 + i. Solve u + g = -q*g - 3, -3*u = 2*g + 8 for u.
-2
Let k be -11 - 8/6*1482/(-76). Solve 0 = -3*m - n + k, -6 = 3*m - 5*n - 3 for m.
4
Let r = -2199 + 2202. Solve -y = t - 5, -8*y = -r*y - 10 for t.
3
Let n(k) = -2*k**3 - 5*k**2 - 4*k + 6. Let m be n(-3). Let y = -8 + m. Let l be ((-4)/8)/(1/(-4)). Solve l*a - 14 = -3*q, -3*a + y = 4*q - 0*a for q.
4
Let i(b) = -90*b - 270. Let w be i(-3). Solve 4*o = 2*o + 2*f + 10, 2*o + f - 7 = w for o.
4
Let q(b) = -1348*b - 8083. Let o be q(-6). Solve d + t = 3, -20*d + 19*d = -o*t - 3 for d.
3
Let l(h) = 2*h**2 + h - 1. Let y(u) = -18*u + 16. Let p be y(1). Let s be l(p). Solve -4*g - a - 2*a = 8, -s*g - 9 = 4*a for g.
-5
Let i = 9847 - 9845. Solve 2*c - 19 = -x - 17, -i*x + 6 = 5*c for c.
2
Let z = 311 + -308. Let s(x) = -2*x**2 - 36*x - 104. Let t be s(-14). Solve 0 = z*l - 3*i - 3, 3*l = t*l - i + 11 for l.
-3
Suppose h - 190 = 39*h. Let i(w) = -22*w - 109. Let t be i(h). Solve -3*c + t = -4*u + 18, -5*c + 2*u - 19 = 0 for c.
-3
Let c = -4 + 16. Let b be 22/(-3)*c/(-4). Suppose -4*n = -15*n + b. Solve 2 - 3 = 5*m - n*f, -5 = 3*m + f for m.
-1
Suppose 217*d +
|
{
"pile_set_name": "DM Mathematics"
}
|
ind the third derivative of -3*l**6 + 2*l**j - 7*l**6 - 19*l**2 + 2*l**6 wrt l.
-960*l**3
Let n(y) be the first derivative of 698*y**3/3 - y**2 - 18*y + 372. Find the second derivative of n(b) wrt b.
1396
Let b(q) be the third derivative of 8*q**7/35 + 49*q**4/24 - 51*q**2. Find the second derivative of b(u) wrt u.
576*u**2
Suppose -5*n + 132 = -n. Let w be 4/(-22) - (-72)/n. Find the third derivative of w*f**2 - f**2 - 5*f**4 - 4*f**2 - f**2 wrt f.
-120*f
Let q(a) be the first derivative of a**6/15 - a**4/3 + 17*a + 14. Let l(k) be the first derivative of q(k). What is the third derivative of l(j) wrt j?
48*j
Let z(p) = -3*p**4 + 3*p**3 - 158. Let w(c) = -10*c**4 + 10*c**3 - 476. Let m(i) = -6*w(i) + 21*z(i). What is the first derivative of m(k) wrt k?
-12*k**3 + 9*k**2
Let d(l) be the second derivative of -11*l**6/360 - l**5/60 + 19*l**4/12 + 9*l. Let o(q) be the third derivative of d(q). Differentiate o(s) wrt s.
-22
Let q = 1 - -8. Differentiate 20 - 1 + 19*a + q with respect to a.
19
Let i(l) be the second derivative of l**5/4 - 7*l**4/6 + 121*l**3/6 + 695*l. What is the second derivative of i(y) wrt y?
30*y - 28
Let w(m) be the third derivative of 89*m**9/504 - 2*m**7/105 - m**5/10 - 22*m**3/3 - 90*m**2. Find the third derivative of w(v) wrt v.
10680*v**3 - 96*v
Let m(q) = 3. Let l(r) = -r**2 - 2*r + 104. Let t be l(-11). Let s(v) = 0*v + v - 5 + 2. Let w(b) = t*s(b) + 6*m(b). Differentiate w(o) with respect to o.
5
Find the second derivative of -28*w + 21*w + 16*w + 76*w**4 + 5*w - 25*w**4 wrt w.
612*w**2
Let h(w) = 5*w + 103. Let b be h(-18). Let r(l) = 2*l**2 - 8*l + 7. Let n be r(6). Find the second derivative of -12*x**2 + n*x - 16*x - b*x wrt x.
-24
Let a(x) be the third derivative of 617*x**6/120 - 219*x**5/20 - x**2 + 5. Find the third derivative of a(s) wrt s.
3702
Let u be (2 - 3)*1*(-14)/2. Let t be -3 - -3 - -19 - 2. Find the second derivative of u*d - 12*d**4 + t*d**4 + 3 - 3 wrt d.
60*d**2
Let n = 2 - -3. Suppose 0 = -5*p - 25, 2*o + p = -0*p + n. What is the third derivative of 0*j**2 + 3*j**o - 3*j**5 - 5*j**2 + 4*j**5 wrt j?
240*j**2
Let f(z) = -93*z**4 - 26*z**3 + 13*z**2 - 67. Let u(p) = -47*p**4 - 12*p**3 + 6*p**2 - 33. Let m(a) = 6*f(a) - 13*u(a). Differentiate m(y) with respect to y.
212*y**3
Let v(s) be the third derivative of 0*s + 0 + 0*s**5 + 0*s**3 - 1/28*s**8 + 13*s**2 + 0*s**6 + 0*s**7 - 1/6*s**4. What is the second derivative of v(f) wrt f?
-240*f**3
Let z(b) be the third derivative of 0*b + 3/40*b**6 + 0*b**3 + 0*b**5 + 2*b**2 + 0 - 1/8*b**4. Find the second derivative of z(o) wrt o.
54*o
Let o(u) be the second derivative of 32*u**4/3 - 69*u**2/2 - 10*u + 8. What is the first derivative of o(t) wrt t?
256*t
Let j(o) = -4*o**2 + 2*o. Let l(p) = 180*p**2 - 8*p + 3. Let v(b) = 4*j(b) + l(b). What is the first derivative of v(r) wrt r?
328*r
Let h(y) be the third derivative of y**5/6 + 71*y**4/8 - 45*y**2. Find the second derivative of h(w) wrt w.
20
What is the second derivative of 433*h**2 + 2*h - 25*h - 510*h**2 - h wrt h?
-154
Let k(f) = 3*f + f + 3 + f**3 - 5*f**2 - 10. Let w be k(5). Let a(v) = 5*v + 2. Let y(x) = -11*x - 4. Let h(d) = w*a(d) + 6*y(d). Differentiate h(p) wrt p.
-1
Let a(p) be the second derivative of -5/2*p**2 + 0 + 49/6*p**3 + 38*p. Find the first derivative of a(h) wrt h.
49
Let h be 132/(-572) - (-29)/13. Suppose 2*k - 10 = -2. What is the third derivative of 3*l**5 + k*l**h - 3*l**5 + 5*l**5 wrt l?
300*l**2
What is the third derivative of -40*g**2 + 6*g**5 + g**3 - 6*g**3 + 0*g**3 + 2*g**3 wrt g?
360*g**2 - 18
Let d(n) = -3*n + n**3 + 3*n**2 - 10 + 7 + n. Let s be d(-3). Find the third derivative of -3*q**s + 2*q**2 + q**3 + q**2 - 3*q**3 wrt q.
-30
Suppose -2*c + 3*f + 12 = 0, -3*c + 0 = 3*f - 3. What is the third derivative of -5*w**3 - 8*w**2 + 3*w**3 + 3*w**c + w**3 wrt w?
12
Let w(a) be the first derivative of -a**3 + 9*a**2/2 + 108*a - 92. What is the first derivative of w(i) wrt i?
-6*i + 9
Let o(j) = -2*j + 14. Let k be o(7). Suppose k = 5*r + 5*u - 15, -3*r + 4*u = -37 + 14. Find the second derivative of -z + z**4 + z**4 - 9*z**4 - r*z wrt z.
-84*z**2
Let z(w) be the second derivative of 0*w**5 + 0*w**2 + 0*w**4 + 0 - 1/3*w**3 - 1/30*w**6 + 40*w. Find the second derivative of z(m) wrt m.
-12*m**2
Suppose 3*f = 8*f - 50. Suppose -2*i - f = -0*i + 5*r, r = 2*i - 14. Find the second derivative of 3*d + d**5 - 2*d**i - 7*d**5 - 10*d wrt d.
-160*d**3
Suppose -36*g = -20*g - 19*g. Let z(u) be the third derivative of 1/6*u**4 + 2/3*u**3 + 0*u + g - 5*u**2. Find the first derivative of z(l) wrt l.
4
Find the second derivative of 17*a - 183 + 218*a**2 + 183 - 36*a**2 wrt a.
364
Let c(z) be the third derivative of 23*z**4/8 + 9*z**3 + 127*z**2. Differentiate c(t) wrt t.
69
Let d be (22/(-26) - -1) + 37/13. What is the second derivative of 36*x + 66*x**2 + 5*x**d - 66*x**2 wrt x?
30*x
Let p(h) be the third derivative of 173*h**7/210 + 47*h**5/20 + 18*h**2 + 1. What is the third derivative of p(f) wrt f?
4152*f
Find the second derivative of 477*m + 288*m**5 + 12*m - 101 + 3 + 98 wrt m.
5760*m**3
Let r(a) = -12*a**5 - 56*a**4 + 0*a + 5*a + 56*a**4. Let f(k) = -61*k**5 + 25*k. Let s(q) = 2*f(q) - 11*r(q). What is the second derivative of s(m) wrt m?
200*m**3
Let a(m) be the first derivative of 13*m**3/3 + 30*m + 68. Differentiate a(h) with respect to h.
26*h
Let s(o) be the first derivative of -o**5/5 - o**4/4 - 43*o**3/3 + 85. Find the third derivative of s(d) wrt d.
-24*d - 6
Let m be (-2)/((-21)/6 - -3). Suppose 3*s + m*n = s + 26, 4*n + 9 = 5*s. What is the third derivative of -7*j**5 - 4*j**2 - j**6 + 7*j**s wrt j?
-120*j**3
Let g(s) be the first derivative of -s**5/5 + s**3/3 + 2. Let d(c) = -c**4 - 6*c**2 + 8. Let w(r) = -d(r) - 6*g(r). Differentiate w(i) wrt i.
28*i**3
Let s = 1447 + -5785/4. Let a(b) be the first derivative of -3*b + 0*b**2 + 0*b**3 + 4 + s*b**4. Differentiate a(q) with respect to q.
9*q**2
What is the third derivative of -16*l + 7*l - 34*l + 2*l**2 - 49*l**5 + 11*l - 41*l wrt l?
-2940*l**2
Suppose -16 = -i + 5*i, -p = i + 4. Let o be (p/(-1))/(-2 + -1). Differentiate -2*q + 6*q + o*q - 1 wrt q.
4
Suppose -h - 51 = -4*x - 0*h, 3*x = -h + 33. Find the second derivative of -3 - 6*f + 3 + x*f**2 + 7*f wrt f.
24
Let b(a) be the third derivative of 47*a**6/60 - a**5/30 + 143*a**3/3 - 329*a**2. What is the derivative of b(h) wrt h?
282*h**2 - 4*h
Let t(w) = -8*w**5 + 6*w**4 - 11*w**2 + 9*w + 14. Let n(j) = -j**4 - j**2 - 3*j + 1. Let d(l) = -6*n(l) - t(l). What is the second derivative of d(p) wrt p?
160*p**3 + 34
Let g be 2*(2 - 2 - 1*-4). What is the derivative of 11 - 2*s**4 + g*s**4 - 15 wrt s?
24*s**3
Let h(p) = 8*p**2 + 5*p + 4. Let b be h(-2). Let t = -21 + b. What is the first derivative of 2*o**4 + t*o**4 + 0*o**4 - 6 + 4 wrt o?
28*o**3
Let q = -14 - -20. Find the first derivative of 5 + q*m - 6 - 2*m wrt m.
4
Let c(t) = 138*t**3 - 17*t**2 + 236*t. Let w(l) = 46*l**3 - 6*l**2 + 77*l. Let d(k) = 6*c(k) - 17*w(k). Find the second derivative of d(r) wrt r.
276*r
Let g(h) = -159*h**3 - 4*h**2 + 1278*h - 5. Let j(v) = -238*v**3 - 6*v**2 + 1918*v - 8. Let z(f) = 8*g(f) - 5*j(f). What is the second derivative of z(w) wrt w?
-492*w - 4
Let i(j) = -5*j**2 + j**2 + 2*j**2 + 5*j**2 - j. Let w be i(-1). What is the derivative of 5 + 5*v**4 + 0*v**4 + 2*v**4 - 3*v**w wrt v?
16*v**3
Let d(m) be the first derivative of -9/2*m**4 - 6*m**3 + 0*m**2 + 0*m - 17. What is the third derivative of d(h) wrt h?
-108
Find the second derivative of 29046 - 29046 - b**5 + 18*b**3 + 13*b wrt b.
-20*b**3 + 108*b
Let y = 24 + -22. What is the third derivative of -10*i**2 + y*i**5 + 11*i**5 - 12*i**2 wrt i?
780*i**2
Suppose 3*x - 6 = x. Find the third derivative of -3 - 9*h**2 + 0*h**6 + 3 - x*h**6 wrt h.
-360*h**3
Suppose 8*q = -0*q - 4*q. Let m(p) be the second derivative of -1/6*p**4 + p**3 + q + 9*p + 0*p**2. Find the second derivative of m(i) wrt i.
-4
Suppose -37 - 12 = -7*b. Suppose 0 = -b*x + 3 + 11. Differentiate 5*k**4 - 7 + 9 + x*k**4 with respect to k.
28*k**3
Let i(k) be the second derivative of k**5/10 - 15*k**4/2 - 27*k**2/2 - 152*k + 2. Differentiate i(b) wrt b.
6*b**2 - 180*b
Let l(x) be the first derivative of 0*x**3 + 0*x**5 + 0*x**4 + 0*x - 31/2*x**2 + 29 + 5/2*x**6. W
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o(a) = 450*a + 8834. What is o(-19)?
284
Let a(j) = -14*j**3 + 74*j**2 - 44*j + 195. Calculate a(7).
-1289
Let y(g) = 210*g**3 - 390*g**2 - 40*g + 73. What is y(2)?
113
Let l(b) = -b**3 + 10*b**2 - 24*b + 55. What is l(13)?
-764
Let j(d) = 2*d**2 - 340*d - 82481. Calculate j(305).
-131
Let s(v) = -3*v**2 + 243*v - 1421. Determine s(73).
331
Let t(w) = 26478*w - 264786. Give t(10).
-6
Let l(n) = 3*n**2 - 215*n - 367. Give l(71).
-509
Let m(d) = 1462*d + 124269. Give m(-85).
-1
Let h(a) = 5*a**2 + 97756*a + 2. What is h(0)?
2
Let i(m) = -58275*m + 291401. Determine i(5).
26
Let u(d) = 3*d**3 - 63*d**2 + 193*d - 22. Calculate u(17).
-209
Let o(w) = 17894*w - 7157607. Give o(400).
-7
Let o(m) = -29*m**2 - 129*m + 627. Determine o(-10).
-983
Let w(z) = 32*z - 3715. Calculate w(125).
285
Let q(r) = 338*r**2 + 17739*r + 8482. Give q(-52).
6
Let t(j) = j**3 + 49*j**2 - 5401*j - 261552. Determine t(-48).
0
Let i(z) = z**3 + 5*z**2 - 5*z - 146. What is i(-14)?
-1840
Let g(x) = -2*x**2 - 383*x - 10482. Give g(-31).
-531
Let u(k) = 9*k**3 - 9565*k**2 - 2173*k + 49985. What is u(1063)?
24
Let d(t) = -t**3 + 7*t**2 + 510*t - 21. Determine d(-20).
579
Let h(f) = -f**3 - 17*f**2 - 310*f - 5991. Calculate h(-18).
-87
Let v(y) = 91*y**2 - 344*y + 44. Give v(3).
-169
Let j(o) = o**3 - 17*o**2 - 245*o + 2930. Give j(21).
-451
Let b(z) = -z**3 - 47*z**2 + 103*z - 2180. Calculate b(-50).
170
Let p(h) = 66*h**2 - 75*h - 24. Determine p(0).
-24
Let x(b) = -b**3 + 506*b**2 - 5625*b + 89090. Determine x(495).
-10
Let y(g) = -40013*g - 40013. Give y(-1).
0
Let x(r) = r**3 + 23*r**2 + 78*r - 46. Determine x(-16).
498
Let f(d) = -22667*d + 1437. What is f(0)?
1437
Let a(w) = -444*w + 19430. Calculate a(43).
338
Let l(v) = v**2 - 25*v - 6950. Determine l(76).
-3074
Let f(o) = -2*o**2 - 117863*o + 353610. What is f(3)?
3
Let g(v) = -48*v**2 - 75*v - 349. Calculate g(-4).
-817
Let j(y) = -2034*y + 195260. Give j(96).
-4
Let n(o) = 88*o**2 - 45900*o - 45901. Determine n(-1).
87
Let p(r) = -342*r**2 - 604*r + 182. Determine p(-2).
22
Let l(k) = k**3 - 57*k**2 + 775*k + 537. Calculate l(25).
-88
Let d(v) = -6286*v**2 - 113157*v + 4. Calculate d(-18).
166
Let i(b) = 15*b**2 - 525*b + 1095. What is i(33)?
105
Let u(j) = 3*j**3 - 2616*j**2 - 425034*j - 6078. Give u(1012).
-6
Let o(p) = -7*p**2 - 185*p - 3881. What is o(-28)?
-4189
Let x(v) = 6*v**3 + 908*v**2 - 2462*v + 289. Give x(-154).
-19
Let w(s) = -s**3 - 5*s**2 + 1976*s + 7916. Determine w(-4).
-4
Let d(p) = -17*p**2 - 496*p - 112. Give d(-22).
2572
Let x(c) = -4111*c - 407000. Calculate x(-99).
-11
Let w(d) = 3775*d - 381270. What is w(101)?
5
Let a(l) = l**3 + 43*l**2 - 796*l + 130. Determine a(-57).
16
Let v(q) = -q**3 + 716*q**2 - 1242*q + 377011. Determine v(715).
206
Let q(b) = 4892*b - 195536. Calculate q(40).
144
Let m(j) = -454*j**2 - 194783*j - 7288. Calculate m(-429).
5
Let i(x) = -74*x**3 + x**2 - 783*x - 3. Calculate i(0).
-3
Let q(w) = -3*w**2 - 210023*w + 840072. Determine q(4).
-68
Let v(t) = -3256*t - 371185. Determine v(-114).
-1
Let a(o) = -o**3 - 195*o**2 - 381*o + 208504. Calculate a(-187).
-1
Let p(m) = -5565*m + 5581. What is p(1)?
16
Let q(c) = c**2 - 68094*c - 2316350. Give q(-34).
2
Let z(b) = 365*b**2 + 50002*b - 224. What is z(-137)?
187
Let t(u) = 9*u**2 + 1948882*u - 1948882. Give t(1).
9
Let w(h) = 571*h - 20158. Calculate w(36).
398
Let b(o) = -5*o**2 - 160*o + 6. Give b(-32).
6
Let t(j) = j**3 + 28*j**2 + 169*j - 54. Give t(-20).
-234
Let m(v) = v**2 + 87*v + 114. What is m(-86)?
28
Let t(b) = 7*b**3 - 57*b**2 + 93*b - 710. What is t(8)?
-30
Let a(u) = -3*u**3 - 84*u**2 - 200*u - 78. Calculate a(-2).
10
Let x(g) = -58*g**2 + 460*g + 1820. Give x(-4).
-948
Let p(b) = -128935*b - 773636. Give p(-6).
-26
Let l(d) = 4*d**2 + 2199*d - 20009. Give l(9).
106
Let u(z) = -3*z**2 + 1026*z + 436443. Give u(589).
-6
Let b(c) = 6*c**3 - 106*c**2 - 11*c - 451. What is b(18)?
-1
Let u(a) = -13*a**3 - 11245*a**2 - 71*a - 61436. Give u(-865).
-21
Let y(f) = -f**3 + 407*f**2 + 2073*f - 5757. Determine y(412).
-401
Let a(u) = -79*u - 9043. Calculate a(-110).
-353
Let s(y) = -16672*y + 1200384. Give s(72).
0
Let m(l) = -821*l**3 - 204428*l**2 + 251*l + 492. Calculate m(-249).
-6
Let n(y) = -7*y**2 + 160*y + 11780. Give n(54).
8
Let h(k) = -k**3 + 152*k**2 - 1296*k + 768. Calculate h(143).
-519
Let u(r) = 14*r**2 - 3527*r + 3504. Calculate u(251).
241
Let p(m) = 13*m**2 - 1961*m - 10142. Calculate p(-5).
-12
Let j(y) = y**3 - 76*y**2 - 128*y - 1999. Determine j(78).
185
Let s(h) = 6637*h - 139281. Determine s(21).
96
Let n(f) = -2*f**3 + 11*f**2 + 137*f - 790. Determine n(6).
-4
Let o(s) = -4*s**2 - 4462*s - 31060. What is o(-7)?
-22
Let p(m) = -7*m**2 - 2751*m - 141799. Calculate p(-332).
-35
Let d(h) = -4*h**3 + 42*h**2 - 387*h + 733. Determine d(11).
-3766
Let w(b) = -b**2 + 845*b - 32987. Give w(41).
-23
Let t(b) = -6*b**2 + 129*b + 1829. What is t(-13)?
-862
Let q(t) = -16*t**2 + 1371*t + 27896. What is q(-17)?
-35
Let c(i) = -18*i**3 + 75*i**2 - 8*i - 84. What is c(5)?
-499
Let f(w) = 164*w - 14167. Give f(83).
-555
Let r(n) = 11748*n - 70477. What is r(6)?
11
Let g(c) = -10714*c + 289271. Give g(27).
-7
Let d(i) = -6*i**2 + 739*i - 17539. What is d(91)?
24
Let j(a) = a**2 + 79*a + 337. Calculate j(-6).
-101
Let y(a) = 372*a**3 - 175952*a**2 - 1891*a - 476. Give y(473).
-3
Let t(p) = -2*p**3 + 803*p**2 + 545*p - 57469. Calculate t(402).
17
Let n(s) = 30*s**2 - 2496*s - 5051. What is n(-2)?
61
Let b(v) = 7*v**2 - 1365*v + 46499. Give b(44).
-9
Let c(i) = -149174*i - 149219. Calculate c(-1).
-45
Let x(s) = -138*s**2 + 426*s - 105. Determine x(3).
-69
Let h(c) = -63315*c - 63353. Give h(-1).
-38
Let m(f) = -5*f**3 + 88*f**2 - 198*f + 31. Calculate m(15).
-14
Let r(k) = -3539*k - 633521. What is r(-179)?
-40
Let h(q) = q**3 - 43*q**2 + 204*q - 5408. Calculate h(41).
-406
Let a(r) = -32*r + 6597. Determine a(119).
2789
Let p(j) = -3*j**3 + 4*j**2 - 272*j - 1531. Calculate p(-5).
304
Let h(z) = z**3 + 64*z**2 - 74*z + 60. Calculate h(-65).
645
Let v(x) = -11*x**2 - 5123*x - 3575. What is v(-465)?
145
Let a(d) = -d**2 - 207*d - 6943. Calculate a(-42).
-13
Let q(j) = -91491*j - 3110700. Give q(-34).
-6
Let n(f) = 3*f**2 + 457*f + 15449. What is n(-52)?
-203
Let q(l) = 10079*l - 1400961. Determine q(139).
20
Let a(j) = -21*j**3 + 459*j**2 + 53*j - 219. What is a(22)?
-505
Let r(l) = -l**2 + 31532*l - 189149. What is r(6)?
7
Let b(d) = -177*d**2 + 1566*d - 1203. Determine b(8).
-3
Let h(v) = 9*v**3 - 4*v**2 - 25*v + 61. Give h(3).
193
Let r(g) = -g**2 - 1033*g - 99086. Determine r(-107).
-4
Let p(l) = -29*l**2 - 236*l + 27. Calculate p(-10).
-513
Let h(o) = -32849*o - 131431. Determine h(-4).
-35
Let u(c) = 7*c**2 - 273*c - 2631. Determine u(47).
1
Let v(y) = 471*y - 2018. What is v(5)?
337
Let v(k) = -424*k - 16643. Determine v(-35).
-1803
Let c(z) = z**3 + 48*z**2 + 97*z + 30521. Calculate c(-56).
1
Let z(o) = o**3 + 52*o**2 + 360*o + 18752. Calculate z(-52).
32
Let w(t) = 669*t - 66279. Calculate w(99).
-48
Let q(l) = 16*l**2 - 751*l - 2441. Determine q(50).
9
Let s(p) = 421*p + 3182. Calculate s(-7).
235
Let j(z) = -z**3 + 91*z**2 - 481*z - 197. What is j(6)?
-23
Let b(v) = 2*v**2 - 737*v - 18033. Calculate b(392).
391
Let q(k) = -k**3 - 42*k**2 - 82*k + 1120. Give q(-41).
2801
Let r(n) = -177*n - 48330. Calculate r(-271).
-363
Let n(b) = 2*b**2 + 179*b - 3485. Calculate n(-106).
13
Let l(o) = 38*o**2 - 9925*o - 69410. Determine l(268).
2
Let q(m) = -731*m - 38760. Give q(-54).
714
Let w(h) = 9*h**2 + 24714*h + 147968. Calculate w(-6).
8
Let r(z) = 11017*z - 176282. What is r(16)?
-10
Let h(g) = g**3 - 162*g**2 + 176*g - 28526. What is h(162)?
-14
Let c(d) = -231*d + 4517. What is c(15)?
1052
Let p(r) = -r**3 - 133*r**2 + 563*r + 108076. Calculate p(-131).
1
Let u(i) = -14*i**3 + 25*i**2 - 59*i - 23. Give u(6).
-2501
Let b(u) = -884836*u - 9. Give b(0).
-9
Let x(z) = -z**2 - 151614*z - 2. Determine x(0).
-2
Let k(o) = o**3 - 49*o**2 - 392*o + 30636. What is k(34)?
-32
Let j(r) = -2*r**2 - 426*r - 3390. Give j(-8).
-110
Let m(g) = 2*g**2 + 354*g + 921. Calculate m(-174).
-123
Let h(i) = 5356*i + 90358. Determine h(-17).
-694
Let t(l) = l**2 - 376*l - 6668. What is t(-17)?
13
Let v(l) = -l**3 - 33*l**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
s of v(-17)?
41
Suppose -7*u + 2*u = 25, -4*g = -4*u - 164. Suppose 3*n - n + 5*a - 64 = 0, -2*n = -2*a - g. What are the prime factors of n?
2, 11
What are the prime factors of (-3 + 30)*88/12?
2, 3, 11
Let n be (-8)/(-12)*1*63. Suppose -5*r + 157 = n. What are the prime factors of r?
23
List the prime factors of (-1112)/(-48) - 2/12.
23
Let p(s) = 2*s**2 + s + 3. What are the prime factors of p(7)?
2, 3
Let g = 2 + 0. Suppose 0 = 5*d - 3*t - 28, -g*t - 3*t = -20. What are the prime factors of d?
2
Let c = -2 + 7. Suppose 4*b = c*f + 5*b - 19, 4*f - b = 17. List the prime factors of f.
2
Suppose -y + 5 = -4*y - 5*b, 12 = -3*b. Suppose -y*z = 3*m + 16, 5*z = m - 37 + 9. Suppose -27 = -m*h + 3. What are the prime factors of h?
2, 5
Suppose -2*g = 2*g - 84. List the prime factors of g.
3, 7
Suppose -3*s - 2*v + 4 = 0, -18 - 18 = -5*s + 4*v. Suppose -76 = 5*x - 2*w, 0 = s*x - 2*w + w + 59. List the prime factors of 1/(-3) + x/(-6).
2
Let s = -15 + 21. List the prime factors of (-21)/14*(-16)/s.
2
Let h(w) = -w + 14. Let t be h(12). Suppose -3 = -t*z + 1. List the prime factors of z.
2
List the prime factors of (-20)/(-70) + 2908/14.
2, 13
Let m(z) = z**3 + 10*z**2 + 10*z + 8. Let x be m(-9). Let i be x/((-2)/80) - 1. Suppose 0*j = 3*j - i. What are the prime factors of j?
13
Let v(p) = p**2 + 4*p + 5. Let d be v(-4). Suppose -15 - d = -y. List the prime factors of y.
2, 5
Let v(q) = q**2 - 6*q - 4. Let b be 14/4*(0 - -2). What are the prime factors of v(b)?
3
Suppose -2*g = -17 - 15. Suppose 2*n = g + 2. Let i = n - 5. What are the prime factors of i?
2
Suppose -c + 2 = 2*a + 2*c, -5*a + 22 = -c. What are the prime factors of a?
2
Let q be 3/(2 - (-10)/(-6)). Let a = -1 + q. What are the prime factors of a?
2
Let i = 251 - 171. What are the prime factors of i?
2, 5
List the prime factors of ((-13)/(13/(-30)))/((-10)/(-105)).
3, 5, 7
Let a(i) = -3*i**3 - 2*i**2 + i + 4. Let j be 1/(-2) + (-6)/4. What are the prime factors of a(j)?
2, 3
Let a(o) = -o**3 + 3*o**2 + 4*o - 4. Suppose 0*m = 4*m - 8. Let n be 2 + -2 + m - -1. List the prime factors of a(n).
2
Let i = -2 - -6. Suppose -4 = -2*a - 2*a + 4*n, 0 = a - i*n + 11. Suppose -u + a*u - 28 = 0. List the prime factors of u.
7
Let b = 11 + -8. Let v = b - 5. What are the prime factors of (1 - -15)*(-1)/v?
2
Suppose 0 = 5*u + 2*b, -5*u + 2*b = -b - 25. Suppose -36 = -4*a + u*a. List the prime factors of a.
2, 3
Let k = -72 + 36. Let b = 53 + k. What are the prime factors of b?
17
Suppose 0 = -5*s + 4*h + 2, -2*s - 3*h - 10 = -h. Let l be -1 - (s + (-35)/1). Suppose 3*f + l = 7*f. List the prime factors of f.
3
Let s = -41 + 59. Let b = s + -7. What are the prime factors of b?
11
Suppose 2*k - 9*k + 392 = 0. List the prime factors of k.
2, 7
Suppose 2*l = 33 + 55. What are the prime factors of l?
2, 11
Suppose 3*f + 0*f = 0. Suppose t - 5 = f, 5*m - 3*t - 34 - 156 = 0. What are the prime factors of m?
41
Let m = 83 - 49. List the prime factors of m.
2, 17
Suppose 15 = -2*i + 5*s, i + 10 = -0*i + 5*s. Let v = -3 - i. What are the prime factors of v?
2
Let l = 25 - 13. List the prime factors of l.
2, 3
Suppose o - 2*k = -6*k + 123, 0 = o + 5*k - 123. List the prime factors of o.
3, 41
Let m = 64 + -37. What are the prime factors of m?
3
Suppose 4*j + j - 49 = -3*m, -m = -4*j + 29. Let n be 34/j + (-3)/12. Suppose n*z - 9 = -3*c + 18, -3*c - 3*z + 24 = 0. List the prime factors of c.
5
Let l = 6 - -45. Let s = -33 + l. What are the prime factors of s?
2, 3
Let w be -2 + 1 + 0 - -52. Suppose 4*m + 19 = w. What are the prime factors of m?
2
Suppose -4*o - 2*v + 26 = 0, 5*v - 2*v = -3*o + 24. Suppose -o*j + 3*j = -56. List the prime factors of j.
2, 7
Let o = 9 - -1. What are the prime factors of o?
2, 5
Let s(w) = w**3 + 16*w**2 - 4*w + 22. List the prime factors of s(-16).
2, 43
Let u(k) = k**3 - 4*k**2 - 3*k - 2. Let x = -6 - -11. What are the prime factors of u(x)?
2
Let i(t) = 8*t**2. Let j be i(1). Suppose 7*q + 32 = j*q. List the prime factors of q.
2
Let m = 9 + -5. Suppose 7*h - 2*h - 35 = 0. Suppose -h = -f - m. List the prime factors of f.
3
Suppose -2*y - 3*a - 12 = -y, 4*y + 21 = -3*a. List the prime factors of y - (-3 - -6 - 26).
2, 5
Let g(v) = -v + 1. Let n(f) = -2*f**2 - 10*f - 4. Let k(t) = 2*g(t) - n(t). Let l be (-14)/(-35) - 54/10. List the prime factors of k(l).
2
Let v(j) = -j**2 - 6*j + 6. Let g be v(-6). Suppose 4 = 3*o - 2*l - g, l = 2*o - 6. Let b = 4 - o. What are the prime factors of b?
2
Let h = -8 + -84. Let g = -55 - h. List the prime factors of g.
37
Suppose 2 = -3*s + 4*s. Let v = s - -5. Suppose -2*a + 35 - v = 0. List the prime factors of a.
2, 7
Let p be (-814)/(-10) - 16/40. Suppose 0*m - p = -3*m. What are the prime factors of m?
3
Let i(a) be the third derivative of -a**6/120 - a**5/15 + a**4/4 + 5*a**3/6 - a**2. Let c be i(-5). Let l = c + 14. List the prime factors of l.
2, 7
Let s(a) = -a**3 + 11*a**2 - 2*a. What are the prime factors of s(8)?
2, 11
Let h be (-57)/(-9) - 4/(-6). Let t(b) = 4*b**2 - 2*b - 1. Let c be t(-1). Let j = h - c. What are the prime factors of j?
2
Let v(w) = 2*w + 1. Let t be v(1). Suppose 0 = 2*c - t*f - 7, -2*c + 23 = -4*c - 3*f. List the prime factors of 1/(-4) + (-37)/c.
3
Let q(k) = k + 11. Suppose 24 = -4*x + 2*u + 2*u, 0 = -4*x - 5*u - 15. What are the prime factors of q(x)?
2, 3
Let m = -7 + 11. Let j(c) = -3*c. Let b be j(-1). Suppose -5*g = 3*w - 28, m*w - 9*w + 52 = b*g. List the prime factors of w.
11
Suppose 0*x - 48 = -4*g - 3*x, -3*x - 12 = -g. What are the prime factors of (-2)/(-4) - (-126)/g?
11
Suppose 0 = 2*h + 5*r - 169, -2*r + 4*r - 298 = -4*h. List the prime factors of h.
2, 3
Suppose 0 = -4*k - 138 + 370. Suppose -2*n + 0*n + 42 = -p, 2*n = -3*p + k. Suppose q - n = -7. List the prime factors of q.
2
Let n(p) be the second derivative of p**5/20 - 2*p**3/3 + 3*p**2/2 + 3*p. Let h(m) = -m - 4. Let j be h(-7). What are the prime factors of n(j)?
2, 3
Let g = 43 + -38. Let a(d) = -4*d**2 + d**3 - d**2 - d + 2*d + 2. What are the prime factors of a(g)?
7
Let f(l) = -5 + 2*l**2 + 2 - 141*l + 129*l. List the prime factors of f(7).
11
Let u = 35 + -14. Let j = u - 15. What are the prime factors of j?
2, 3
Let i be (-3)/(-6)*8 + -2. Suppose 2*d + 0*l - 15 = 5*l, -4*l + 24 = i*d. What are the prime factors of (-6)/(-5)*25/d?
3
Let p(q) = q**2 - 5*q - 3. Let a be p(6). Let j(k) = -a*k - k + 3 + 0*k. What are the prime factors of j(-4)?
19
What are the prime factors of 214 + (4 - 5)/(-1)?
5, 43
Let y = 22 + -9. List the prime factors of y.
13
Suppose -3*j = -2*p + 186, -3*p - 2*p = 3*j - 465. List the prime factors of p.
3, 31
Suppose 4*v - 124 = -36. List the prime factors of v.
2, 11
Suppose -2*q + 42 = -0*q. Let n = q + -8. List the prime factors of n.
13
What are the prime factors of ((-12)/4)/(1 + 753/(-744))?
2, 31
What are the prime factors of 1/((1 + -3)/(-24))?
2, 3
Suppose -o - 6*o = -371. List the prime factors of o.
53
Suppose 5*s - 5*c = 260, 2*s - 70 = -3*c + 54. What are the prime factors of s?
2, 7
Let d(s) = s**2 + s. Let g(u) = u**2 - u + 1. Let a(l) = -d(l) + 2*g(l). What are the prime factors of a(3)?
2
Let z(p) = p + 10. Let s be z(0). Suppose 2 = -2*o - s. What are the prime factors of (-1)/(-2) + (-45)/o?
2
Suppose -25 = 5*c - 10. Let g be (-1)/c*(-7 - -19). Suppose -6*m - s + 23 = -g*m, 3*m = 4*s + 7. What are the prime factors of m?
3
Suppose -l + 5*j + 86 = l, 0 = -l - 4*j + 56. Suppose -2*t + 6*t = l. What are the prime factors of t?
2, 3
Suppose -158 = -4*h + 442. What are the prime factors of h?
2, 3, 5
Suppose 5*v = 5*t - 865, 3*t + t - 2*v = 702. List the prime factors of t.
2, 89
Let j = 2 - -1. Let k = j - -3. What are the prime factors of k?
2, 3
Let x = -388 - -557. List the prime factors of x.
13
Let b(s) = -s**3 - s**2 - s - 4. What are the prime factors of b(-3)?
17
Let l = 28 + 197. What are the prime factors of l?
3, 5
Let v(p) = -2 - 6*p - 2 + 3 + 2. What are the prime factors of v(-2)?
13
Let s = -66 - -81. What are the prime factors of s?
3, 5
Let u(f) = 2*f**3 + 2*f**2. Let y be u(2). Suppose -y = 3*z - 105. What are the prime factors of z?
3
Let i = -11 - -13. Suppose -i*f = 11 - 69. List the prime factors of f.
29
Let r(p) = p**3 + 4*p**2 - 2*p - 1. Let l be r(-3). Let b = l - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
two letters picked without replacement from {t: 4}?
1
Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, l: 1}.
2/3
Four letters picked without replacement from ggccgocgcocg. What is prob of picking 3 g and 1 c?
10/99
Three letters picked without replacement from ibqqggyybiabbi. What is prob of picking 1 a, 1 g, and 1 y?
1/91
Four letters picked without replacement from ojqvvq. Give prob of picking 1 o, 1 q, and 2 v.
2/15
Calculate prob of picking 2 q when two letters picked without replacement from qqqeqqqqeeqqqqqeqqqq.
12/19
What is prob of picking 4 l when four letters picked without replacement from hlhlhjhhjlllhlh?
1/91
Two letters picked without replacement from ppxt. Give prob of picking 2 p.
1/6
Four letters picked without replacement from qitqiqq. Give prob of picking 4 q.
1/35
Two letters picked without replacement from {z: 9, e: 2, o: 4, y: 3}. What is prob of picking 1 y and 1 o?
4/51
Four letters picked without replacement from {p: 4, g: 15}. What is prob of picking 3 g and 1 p?
455/969
What is prob of picking 1 v and 1 q when two letters picked without replacement from {g: 2, a: 1, q: 2, v: 7, x: 4}?
7/60
Three letters picked without replacement from {k: 1, n: 4, j: 2, s: 3}. Give prob of picking 2 s and 1 k.
1/40
What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 9, k: 11}?
99/190
Two letters picked without replacement from {w: 6, b: 4}. Give prob of picking 2 b.
2/15
Three letters picked without replacement from yxltn. Give prob of picking 1 t, 1 n, and 1 x.
1/10
What is prob of picking 1 l and 1 i when two letters picked without replacement from iglia?
1/5
What is prob of picking 2 j and 1 g when three letters picked without replacement from joogujjoijouvi?
3/182
What is prob of picking 1 z, 1 g, and 1 s when three letters picked without replacement from gngsnpzpgni?
1/55
Two letters picked without replacement from jteeeterrknrrtrnekr. Give prob of picking 2 t.
1/57
Three letters picked without replacement from ofeofogoogegofogo. What is prob of picking 2 e and 1 o?
1/85
Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, x: 2, f: 8, s: 6}.
1/57
What is prob of picking 1 z and 3 j when four letters picked without replacement from {z: 5, j: 5}?
5/21
Two letters picked without replacement from {d: 2, m: 2, s: 5, q: 5, j: 1, p: 2}. What is prob of picking 2 q?
5/68
Two letters picked without replacement from qdnlnyyqnlnndln. What is prob of picking 1 y and 1 d?
4/105
What is prob of picking 1 e and 1 l when two letters picked without replacement from {z: 4, e: 7, l: 2}?
7/39
What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 5, z: 3, x: 4}?
5/22
Two letters picked without replacement from aooanaxnoyanyayoanf. Give prob of picking 2 o.
2/57
Four letters picked without replacement from xbirxixrixbgbxgxii. Give prob of picking 1 b and 3 x.
1/51
Two letters picked without replacement from bsmm. Give prob of picking 2 m.
1/6
Three letters picked without replacement from {j: 2, d: 1, s: 3, p: 1}. Give prob of picking 2 s and 1 d.
3/35
What is prob of picking 1 v and 1 m when two letters picked without replacement from mvvvvvvvvvvvmmvv?
13/40
Two letters picked without replacement from vhbhhyytbyyyttjbtvy. Give prob of picking 1 t and 1 v.
8/171
Two letters picked without replacement from {r: 10, x: 4, o: 1, y: 4}. What is prob of picking 1 o and 1 x?
4/171
What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 2, p: 2, o: 10}?
20/91
Two letters picked without replacement from {y: 4, b: 8, l: 6, n: 1, m: 1}. Give prob of picking 2 b.
14/95
Three letters picked without replacement from {b: 3}. Give prob of picking 3 b.
1
What is prob of picking 1 i and 2 m when three letters picked without replacement from {m: 2, i: 2, u: 2}?
1/10
Two letters picked without replacement from {m: 4, u: 2, r: 1}. What is prob of picking 1 r and 1 u?
2/21
Four letters picked without replacement from {g: 3, j: 2, h: 1, o: 2, k: 4, t: 2}. Give prob of picking 1 k, 1 g, and 2 o.
12/1001
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from oooonooooooo.
1/6
Calculate prob of picking 1 m and 2 a when three letters picked without replacement from pmappssam.
1/42
Three letters picked without replacement from xxzzzzzx. What is prob of picking 2 z and 1 x?
15/28
Two letters picked without replacement from ojaaoaojljnajlja. Give prob of picking 2 a.
1/12
What is prob of picking 2 n when two letters picked without replacement from cnnn?
1/2
Four letters picked without replacement from {s: 1, x: 8, g: 2, w: 3, u: 5}. Give prob of picking 3 u and 1 g.
5/969
Calculate prob of picking 3 o when three letters picked without replacement from {o: 4, s: 6}.
1/30
What is prob of picking 1 k and 1 x when two letters picked without replacement from xxkxxxkxx?
7/18
What is prob of picking 1 s and 2 z when three letters picked without replacement from {s: 1, z: 2, r: 1}?
1/4
Three letters picked without replacement from xsxiducccxcxsdx. What is prob of picking 1 x, 1 i, and 1 d?
2/91
Calculate prob of picking 1 o and 1 j when two letters picked without replacement from oqjbjov.
4/21
Two letters picked without replacement from yysyyysysyssy. What is prob of picking 2 y?
14/39
Calculate prob of picking 2 a when two letters picked without replacement from aawaaaaw.
15/28
Three letters picked without replacement from {l: 1, v: 1, n: 7}. What is prob of picking 1 v and 2 n?
1/4
Four letters picked without replacement from ttttttt. What is prob of picking 4 t?
1
Two letters picked without replacement from prprpprppprprrpr. Give prob of picking 2 p.
3/10
Three letters picked without replacement from {o: 4, s: 7}. Give prob of picking 2 o and 1 s.
14/55
What is prob of picking 2 u when two letters picked without replacement from ppqumauquqmq?
1/22
Four letters picked without replacement from {m: 1, i: 3, w: 1, v: 1, d: 1}. Give prob of picking 1 m, 1 d, and 2 i.
3/35
Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {a: 17, h: 3}.
51/190
What is prob of picking 1 n and 2 u when three letters picked without replacement from {m: 7, x: 4, y: 2, u: 1, n: 4}?
0
Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rrgrgrr.
10/21
What is prob of picking 1 v and 1 x when two letters picked without replacement from phnhxqvq?
1/28
Three letters picked without replacement from qbcbgctattccc. What is prob of picking 2 c and 1 a?
5/143
Four letters picked without replacement from {t: 7, h: 3}. Give prob of picking 3 h and 1 t.
1/30
What is prob of picking 2 w and 1 c when three letters picked without replacement from cowacococococowcooa?
7/969
Two letters picked without replacement from {e: 1, t: 3}. What is prob of picking 1 e and 1 t?
1/2
Calculate prob of picking 1 p and 1 c when two letters picked without replacement from ptigicp.
2/21
Three letters picked without replacement from {j: 9, m: 5}. What is prob of picking 1 j and 2 m?
45/182
Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mkkmmgkmhuuzmu.
5/182
Four letters picked without replacement from {c: 3, v: 4, x: 2, o: 6}. Give prob of picking 3 o and 1 v.
16/273
Calculate prob of picking 3 d when three letters picked without replacement from {e: 1, p: 5, d: 4, l: 5, n: 3}.
1/204
Four letters picked without replacement from {l: 2, u: 4, o: 4, n: 1, t: 1, y: 3}. What is prob of picking 1 u, 1 y, and 2 o?
24/455
Calculate prob of picking 2 k when two letters picked without replacement from ekcceekkkk.
2/9
What is prob of picking 2 m and 1 y when three letters picked without replacement from {y: 9, d: 1, m: 4, w: 1, j: 4}?
18/323
Three letters picked without replacement from jvifjmio. Give prob of picking 1 f and 2 i.
1/56
Three letters picked without replacement from hssshhs. Give prob of picking 1 h and 2 s.
18/35
Two letters picked without replacement from {j: 4, t: 4, h: 6, e: 3}. What is prob of picking 1 j and 1 h?
3/17
Four letters picked without replacement from {l: 3, s: 3, i: 2, t: 9}. What is prob of pickin
|
{
"pile_set_name": "DM Mathematics"
}
|
st derivative of -2 - 1/3*t**m + 0*t + 0*t**2. Let j(g) = -g**2. Give j(n(p)).
-p**4
Let j(k) = k**2 - 10*k + 11*k - k. Let i be 1/(-2)*-2 - -1. Let a(u) = -3*u**i + 3*u**2 - u**2. Determine j(a(t)).
t**4
Let y(i) = 73*i. Let o(t) = -t**2. Determine y(o(v)).
-73*v**2
Let d = -21 - -23. Let k(v) = -d*v**2 + v - 2*v + v. Let c(y) = -18*y. What is c(k(p))?
36*p**2
Let p(c) = 1. Let i(g) = g + 1. Let k(f) = -i(f) + p(f). Suppose 4*o = -4, 2*j - 2*o = 3*o + 9. Let w(a) = 2*a**j + a**2 + a**2. Calculate k(w(y)).
-4*y**2
Let r(g) be the third derivative of g**4/12 - 9*g**2. Let l = -6 + 8. Let j(v) = 3*v**2 - 2*v**2 - 3*v**l. Determine r(j(u)).
-4*u**2
Let x(y) = -4*y + 3*y - y. Let a(h) be the second derivative of h**3/6 - 8*h. Give a(x(z)).
-2*z
Let t(k) = -5*k**2. Let l(x) = -11*x - 4. Calculate t(l(i)).
-605*i**2 - 440*i - 80
Let c(x) = 539*x**2 - 2. Let a(q) = q. Calculate c(a(z)).
539*z**2 - 2
Let f(h) = 11*h**2. Let j(s) = 179*s. Determine f(j(y)).
352451*y**2
Let s(c) = -15*c**2 - 7. Let w(v) = -8*v**2 - 4. Let h(l) = -4*s(l) + 7*w(l). Let p(m) = m**2. Determine p(h(t)).
16*t**4
Let r(p) = -6*p**2. Suppose o - 2 = 1. Suppose 2*t - 3*h = -2*h + o, 4*h - 12 = 0. Let z(k) = -t*k + 3*k + 2*k + 0*k. What is z(r(j))?
-12*j**2
Let o(r) = -9*r**2. Let l(k) = 3*k + k**2 - 2*k - k. What is l(o(c))?
81*c**4
Let y(x) be the third derivative of x**4/24 + 2*x**2. Let p(q) = 17*q + 85. Let w(a) = -1. Let r(s) = -p(s) - 85*w(s). Determine y(r(g)).
-17*g
Let o(b) = b**2 + b - 1. Let p(j) = -3*j - j**2 + 2 + 0 + j. Let c(d) = -10*o(d) - 5*p(d). Let i(v) = 2*v. Calculate i(c(k)).
-10*k**2
Let a(i) = 42*i. Let l(w) = -w. Determine a(l(q)).
-42*q
Let j(i) = i - 1. Let d(a) = -1 + 6 + 0 - 1. Let x(q) = d(q) + 4*j(q). Let m(w) = -w - 2*w + w. What is m(x(h))?
-8*h
Let d(x) = -13*x**2 - 86 + 86. Let k(c) = -5*c**2. Give k(d(b)).
-845*b**4
Let g(y) = -y**2. Let o(s) = -3*s + 12. What is o(g(a))?
3*a**2 + 12
Let p(c) = 1146*c**2 - 1147*c**2 + 4 - 4. Let g(s) = -122*s**2. Determine g(p(x)).
-122*x**4
Let z(l) be the second derivative of -l**3/3 + l. Let i be 2/(-9) + 20/9. Let c(h) = -4*h**2 + 2*h**2 + 2*h**i - h**2. Calculate c(z(g)).
-4*g**2
Let m(u) = -6861*u**2. Let k(f) = 2*f. Give k(m(b)).
-13722*b**2
Let s(w) = -6*w + 15. Let t(x) = -4*x. What is t(s(n))?
24*n - 60
Let j(k) = -11*k. Let u(r) = -3*r + 11. What is j(u(v))?
33*v - 121
Let b(x) = 2*x**2. Let a(d) = 2506 - 2506 - 20*d**2. Calculate b(a(q)).
800*q**4
Let i be (-2 - -1) + 4 + (-1)/(-1). Let j(f) be the second derivative of 0 + 0*f**3 + 1/6*f**i + 0*f**2 - 4*f. Let m(w) = -2*w. Give j(m(d)).
8*d**2
Let m(t) = 2*t. Let z(a) be the second derivative of 1/6*a**4 + 0 + 0*a**2 + a + 0*a**3. Give m(z(b)).
4*b**2
Let p(h) = h**2. Let f = -4 + 10. Let x(b) = -7*b**2 + f*b**2 + 3*b**2. Give p(x(t)).
4*t**4
Let g(s) = 3*s**2. Let x(k) = k + 1. Let u(r) = -2*r**2 + 6*r + 6. Let q(d) = u(d) - 3*x(d). Let t(c) = c**2 - c - 1. Let o(y) = q(y) + 3*t(y). Give g(o(w)).
3*w**4
Let g be -2 - ((-3)/1 - 1). Let c(w) = -3 + g + 1 - 2*w. Let u(f) = 2*f**2. Give c(u(l)).
-4*l**2
Let r(i) = 2170*i. Let j(h) = -2*h**2. What is r(j(q))?
-4340*q**2
Let i(b) = -5*b**2. Let d(a) = a**2 + a + 1. Let o(c) = -5*c**2 - 4*c - 4. Let u(z) = 4*d(z) + o(z). Give i(u(j)).
-5*j**4
Let l = -18 + 58. Let j(i) = 1 - 1 + 37*i - l*i. Let u(a) = a. Determine j(u(z)).
-3*z
Let r(o) be the second derivative of o**4/6 - 19*o + 3. Let s(h) be the third derivative of h**5/30 + h**2. Determine r(s(v)).
8*v**4
Let f(a) = 9*a. Let r(q) be the third derivative of -6*q**2 - 1/30*q**5 + 0*q**3 + 0*q + 0*q**4 + 0. What is f(r(d))?
-18*d**2
Let h(x) = -7*x**2 + 8. Let o(s) = -5*s**2 + 5. Let j(i) = -5*h(i) + 8*o(i). Let t(c) = -2*c**2. Let b(v) = 6*v**2. Let a(m) = -3*b(m) - 8*t(m). Give j(a(l)).
-20*l**4
Let j(p) = 4*p. Let u(d) = 2513*d**2. Determine j(u(f)).
10052*f**2
Let o(m) = m**2. Let h(b) = 2*b**2. Let w(j) = 4*h(j) + 8*o(j). Let d(r) = -r**2. What is d(w(u))?
-256*u**4
Let s(h) = -h + 1. Let q(j) = -1. Let o(z) = -q(z) - s(z). Let k(b) = 9*b**2 + 7*b. Let n(c) = -5*c**2 - 4*c. Let p(u) = 4*k(u) + 7*n(u). What is p(o(t))?
t**2
Let u(l) be the second derivative of -25*l**4/12 - 2*l. Let q(g) = 2*g. Give u(q(b)).
-100*b**2
Let m(f) = 9*f - 17. Let c(i) = 3*i - 6. Let y(b) = 17*c(b) - 6*m(b). Let j(q) = 20*q. Calculate j(y(a)).
-60*a
Let m(i) = 2*i**2. Let j(q) = -243*q - 5. Calculate j(m(v)).
-486*v**2 - 5
Let c(q) = 4*q - 9. Let f(d) = d - 2. Let v(s) = -2*c(s) + 9*f(s). Let x(w) be the first derivative of -2*w**3/3 - 1. Give v(x(g)).
-2*g**2
Let q(w) = 4*w. Let n(c) be the second derivative of -3*c - 1/3*c**3 + 0 + 0*c**2. What is n(q(u))?
-8*u
Let c(h) = 16*h + 16*h - 33*h. Let w(g) be the third derivative of -g**5/20 + g**2. Determine c(w(a)).
3*a**2
Let h(d) = -47*d**2 + 2*d. Let k(y) = 10*y - 1. Give k(h(u)).
-470*u**2 + 20*u - 1
Let z(d) = 4*d**2 - 6. Let n(f) = 1. Let a(h) = 6*n(h) + z(h). Let t(s) = -s. Determine a(t(g)).
4*g**2
Let f(a) = 3*a**2. Let z(i) = -28*i. Determine f(z(r)).
2352*r**2
Let d(i) = i**2. Let r(n) = -2*n - 3. Let h(k) = -k - 1. Let b(y) = y + 12. Let s be b(-9). Let w = s - 2. Let x(z) = w*r(z) - 3*h(z). Calculate d(x(u)).
u**2
Let h be 3 - (7 - 1) - 8. Let n(c) = -3*c - 6. Let v(d) = 6*d + 11. Let b(u) = h*n(u) - 6*v(u). Let l(o) be the first derivative of -2*o**3/3 - 2. Give l(b(w)).
-18*w**2
Let p(t) = -14*t - 4. Let f(x) = -28*x - 7. Let r(h) = -4*f(h) + 7*p(h). Let m(k) = -3*k**2 + 4*k**2 + k**2. Give r(m(i)).
28*i**2
Let c(w) = w**2. Let n(z) = 9*z**2. What is n(c(j))?
9*j**4
Let z(f) = -21*f**2 - 11. Let y(r) = -5*r**2 - 3. Let w(n) = 22*y(n) - 6*z(n). Let l(o) = -2*o**2. What is l(w(u))?
-512*u**4
Let r(n) = -n. Let j(p) = 10*p - 4. Give j(r(q)).
-10*q - 4
Let k(i) = -i**2. Let h(c) = -7 - 5 + 12 + 5*c. Calculate k(h(j)).
-25*j**2
Let j(y) = 4*y. Let w = 1 + -1. Let i(g) be the third derivative of 1/24*g**4 + w + g**2 + 0*g + 0*g**3. Determine i(j(d)).
4*d
Suppose 10 = 3*v + 2*v. Let l(j) = -2 + 2 + 2*j**v - 4*j**2. Let q(i) = i. Give l(q(f)).
-2*f**2
Let o(d) = 46*d. Let z(g) = g. Determine o(z(x)).
46*x
Let q(u) = 41*u**2. Let h(i) = 87*i**2. Calculate h(q(s)).
146247*s**4
Let o(l) be the second derivative of l**6/360 + l**3 - l. Let p(k) be the second derivative of o(k). Let y(g) = 8*g**2. Determine p(y(s)).
64*s**4
Let d(h) = h - 33. Let j(q) = 3*q**2. Calculate d(j(b)).
3*b**2 - 33
Let l(s) = 4*s. Let t(f) = 37*f**2. Give t(l(z)).
592*z**2
Let m(x) be the first derivative of 4*x**3/3 + x**2 - 2*x - 7. Let s(u) = 17*u**2 + 9*u - 9. Let z(i) = 18*m(i) - 4*s(i). Let d(p) = -2*p**2. What is d(z(l))?
-32*l**4
Let j(s) = 96*s**2. Let l(h) = 2*h**2. Determine j(l(q)).
384*q**4
Suppose 3*p = 3 + 3. Let c(j) = j**2 - 2*j**p + 2*j**2. Let o(q) be the first derivative of q**3/3 - 8. Calculate c(o(l)).
l**4
Let q(z) = -5*z**2. Let v(k) = -19*k**2. Give q(v(l)).
-1805*l**4
Let w(i) = -4*i**2. Let h(n) = n - 306. Calculate h(w(a)).
-4*a**2 - 306
Let z(c) = -3*c**2 + 6 + c**2 - 6. Let y(i) be the second derivative of i**4/6 - 3*i. What is z(y(a))?
-8*a**4
Let r(z) = 2 + 2*z - 2. Let h(g) = 5*g**2 + 6*g + 6. Let b(j) = -j**2 - j - 1. Let q(i) = 30*b(i) + 5*h(i). What is q(r(u))?
-20*u**2
Let r(d) = -6*d + 2. Let a(t) = t - t - 39*t**2 + 38*t**2. What is a(r(y))?
-36*y**2 + 24*y - 4
Let b(p) = p**2. Let g(d) be the second derivative of 2*d + 0 + 0*d**3 - 1/6*d**4 + 0*d**2. Calculate g(b(x)).
-2*x**4
Let m(r) = -r + r + 2*r - r. Let b(n) = 6*n + 5. Let p(y) be the third derivative of -y**4/24 - y**3/6 - 2*y**2. Let d(f) = 2*b(f) + 10*p(f). Calculate m(d(q)).
2*q
Let j(a) = 23*a**2. Let o(s) = -35*s**2 + 19*s**2 + 13*s**2. What is j(o(d))?
207*d**4
Let r(h) = 2*h**2. Let k = 55 - 55. Let j(s) be the third derivative of 0 + 0*s**3 + k*s**4 - 3*s**2 + 0*s - 1/60*s**5. Calculate j(r(y)).
-4*y**4
Let w(d) = -6*d. Let i(b) = 5*b**2 - 18*b. Determine i(w(z)).
180*z**2 + 108*z
Let w(f) = -6*f. Let p(z) = -z. Let j(r) = 4*p(r) - w(r). Let n(v) = -v**2. What is n(j(d))?
-4*d**2
Let h(r) = 2*r**2. Let b(z) = -10*z - 7*z + 12*z. What is b(h(c))?
-10*c**2
Let j(d) = -d + 3. Let a(i) = -1. Let l(o) = 3*a(o) + j(o). Let r(x) = 2*x**2 + 4 - 4. Determine r(l(b)).
2*b**2
Let b(j) = -5*j + 3. Let l(o) = -o**2. What is b(l(y))?
5*y**2 + 3
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
. Solve t = -2*c - 2 for c.
-2
Let h = 5 - 2. Suppose -h*k - 2 = -14. Solve 3 = k*x + 11 for x.
-2
Let l(a) = a + 7. Let t(b) = -b - 7. Let w be t(-7). Let g be l(w). Let j be (-1)/2*(-35 - 1). Solve -5*v - j = g for v.
-5
Let c = 19 - 9. Let i be 4*-1*(-3)/(-3). Let j be 2/8 - 11/i. Solve 0 = -2*y - j*y + c for y.
2
Suppose -n = 12 - 0. Let k be (-81)/n - 1/(-4). Suppose -3*o - 48 = -k*o. Solve 4*s = s - o for s.
-4
Suppose -4*o + 3 = -3*o. Solve o*t - t = 0 for t.
0
Let w be (-10 + 8)/(-2 + 1). Solve l + w = -l for l.
-1
Let n(i) = 6*i + 3. Let f be n(-2). Let m(t) = -t + 11. Let v be m(f). Solve -3*p = -7*p + v for p.
5
Let p(s) = -s - 10. Let f be p(-5). Let q(b) = b + 4. Let o be q(f). Let i be 13*o/3*-3. Solve -2*l + 3 = i for l.
-5
Suppose 24 = 5*o - 21. Let p(j) = -6 - 8*j - 2*j**2 + 0*j + 3*j**2. Let d be p(o). Solve -d*v + v = 6 for v.
-3
Let x(k) = k**3 + k**2 - k + 2. Let z be x(-2). Solve z*y = y for y.
0
Let y(p) = -1 - 2*p + 2 - p + 2*p. Suppose -2*g + 10 = 4*h, -h + 2*h + 20 = 4*g. Let b be y(h). Solve 3*t - b = -7 for t.
-2
Suppose 0 = -3*v - 33 - 30. Let t be (-3)/(5 + -2) - v. Solve w = -3*w + t for w.
5
Let q(l) = -l**2 - l + 2. Let v be q(-2). Solve -6 = -2*s - v*s for s.
3
Let m be 5/2*66/15 + -3. Solve -m - 7 = -3*f for f.
5
Suppose 0 = j - 18 + 6. Let i = -7 + j. Solve -i*a = -4*a for a.
0
Let a(i) = -i + 2. Let w be a(8). Let q = w + 6. Solve q + 20 = 4*r for r.
5
Let y = -8 - -11. Suppose f = y*f - 4. Solve -5 = p - f for p.
-3
Let y be 73/15 + 11 + (-1141)/105. Let r be ((-6)/(-8))/(2/8). Solve -r*o = -2*o + y for o.
-5
Let n = -11 + 5. Let k(f) = -2*f**2 - 5*f + 1. Let j(a) = a**2 - a - 1. Let r(l) = j(l) + k(l). Let q be r(n). Solve -3*c + 0 - 3 = q for c.
-1
Let f be 18 + (-1 - 2) + 0. Let i be (-305)/f + (-2)/(-6). Let w be ((-12)/(-5))/((-6)/i). Solve -w - 4 = 3*r for r.
-4
Let z = -9 - -8. Let s = z + 10. Let f = s + -7. Solve -q + 0 = -f for q.
2
Let l = 4 - -8. Suppose -l = 2*o - 4*c, -6 = -c - 2. Solve -o = -0*j - j for j.
2
Let x = 135 + -133. Solve x = -0*p - p for p.
-2
Let d be -2*-1*6/4. Suppose 0 = -5*z + 4*w - 31, -4*z + z - 29 = -5*w. Let n(i) = -i**3 - 3*i**2 - 2*i - 4. Let f be n(z). Solve 2*a - d*a + f = 0 for a.
2
Let u = -6 + -1. Let n(d) = d**2 + 8*d + 9. Let s be n(u). Solve s*t = -2 - 4 for t.
-3
Suppose 0 = -j - 2. Let b = -7 - j. Let z be (b - -3)*(-5)/2. Solve 4 = -z*n - 1 for n.
-1
Let j be -16 + 21 + 1*-1. Solve 0*y = j*y + 12 for y.
-3
Suppose 6*l + l - 35 = 0. Solve l = 4*x - 7 for x.
3
Let s = 1 - 1. Solve i + 4 - 3 = s for i.
-1
Let k be -4*3/(-8)*2. Solve k*o + 4 + 2 = 0 for o.
-2
Suppose 6*s = 22 + 2. Solve 2*r = s - 0 for r.
2
Let p(u) = u**3 - 9*u**2 + 7*u + 8. Let r be p(8). Solve -4*a = -r*a for a.
0
Let y be (-5)/2*(-6)/5. Suppose -3*t = -2*p - 3*p + y, 4*p = 2*t + 4. Solve -2 - 2 = -t*m for m.
1
Let r = 5 + 1. Suppose -2*t + 4 = 3*i - 0*i, -2*i + r = -2*t. Solve i*a + 14 = 4 for a.
-5
Let t(y) = 20*y**3 - 41*y**2 + 41*y + 2. Let p(l) = 7*l**3 - 14*l**2 + 14*l + 1. Let m(d) = -17*p(d) + 6*t(d). Let k be m(7). Solve 3*j = -k*j - 25 for j.
-5
Let v = 26 - 25. Solve -y + v = -0 for y.
1
Let o(x) = x**2 + 6*x + 2. Let b be o(-6). Let d = 1 + b. Suppose -3*f = d*a - 3, -f + 4*a + 7 = 3*a. Solve -c + 1 = f for c.
-3
Let b(y) = y - 4. Let a be b(4). Solve a = 3*n + n for n.
0
Let l = -4 + 3. Let d be (l - (-6)/1)/1. Solve -7 = d*b - 17 for b.
2
Suppose 5*w + 11 = 61. Solve w = 3*h - 5*h for h.
-5
Suppose 2*v - 96 = -2*v - 3*d, -d = -2*v + 38. Solve -v = 4*o - 1 for o.
-5
Suppose 3*i - n - 18 = 0, -2*i + 3*n = -0*i - 12. Solve x - 5 = i*x for x.
-1
Suppose -b + 5*d = -24, 3*b = 7*d - 3*d + 28. Solve -b - 16 = 5*p for p.
-4
Let t = 4 - 1. Let p(a) = a**2 + 15*a + 41. Let r be p(-13). Solve 4*n - r = -t for n.
3
Suppose 0*w + 9 = 3*w. Let k be w*7/((-42)/(-40)). Let j be (4/3)/(k/30). Solve 0 = -t + j for t.
2
Suppose 0 = -5*f - 5*x - 20, 5*x = 4*f - 0*f - 2. Let a = 0 - f. Suppose m + 6*j + 10 = 2*j, 5*j + 19 = a*m. Solve 0 = -v - m*v for v.
0
Let k be 3 + -6 + 0 + 4. Solve 0*t - t - k = 0 for t.
-1
Suppose n = 5*n + 36. Suppose -2*o = -3*q - 0*o - 7, 2*o + 2 = 0. Let s be 1/q - 30/n. Solve -r = -s*r for r.
0
Let u(w) = w**3 + 10*w**2 + 9*w + 12. Let i be u(-9). Solve -2*q = 2*q + i for q.
-3
Suppose -2*w = -5*v - 5*w + 55, w - 29 = -3*v. Solve -2*u + 0*u = v for u.
-4
Let k(h) = -2*h + 9. Let n be k(3). Solve 0 = -n*d + 2*d for d.
0
Let d(c) = c + 3. Let o be d(5). Solve 0 = 7*n - 3*n - o for n.
2
Suppose 3*r = -d + 3, -5*d + 0*d - 17 = -r. Solve -3*i + 20 = r*i for i.
4
Suppose -4*r - 6 = -18. Solve -r*k + 2*k = 0 for k.
0
Let z = 56 - 48. Solve y = 11 - z for y.
3
Let n = -36 + 40. Solve 6 = 6*d - n*d for d.
3
Let h(v) = 11*v**3 - 7*v**2 - 7*v - 19. Let p(f) = 5*f**3 - 4*f**2 - 3*f - 9. Let d(s) = -4*h(s) + 9*p(s). Let l be d(8). Solve -7 - 2 = l*u for u.
-3
Let q be 3*(-2 + 3) - -5. Suppose -4*m - o = -0*o - q, -3*o - 2 = -m. Solve 0 = m*v - 6*v for v.
0
Suppose y - 2*y - 2 = 0, -2*i - 2*y + 4 = 0. Suppose 6*s + 10 = i*p + s, -4*s = -8. Solve -7 - 8 = p*z for z.
-3
Let q(o) = o**3 + 6*o**2 + 5*o. Let t be q(-5). Let a be 0 - -1 - 0 - -1. Solve t = l + a + 3 for l.
-5
Let u = 18 - 6. Solve 0*o = 3*o - u for o.
4
Let q(r) = r + 2. Let p be q(-1). Let v be -1 + 5 + -3 - p. Solve v = -b - b + 4 for b.
2
Suppose 2*g + 30 = 4*l, l + g = 6 + 3. Solve l = i + i for i.
4
Suppose -4*o + 0*o = 12, -30 = -4*m - 2*o. Solve -m = 5*v - 34 for v.
5
Suppose 3*g = 4*a - 34, 4 = 3*g - 2. Solve 30 - a = 5*b for b.
4
Let m = -11 - -16. Suppose -2*s + 12 = s - 3*p, -m*s - 4*p = 16. Solve 4*x = -s*x + 20 for x.
5
Let q(x) = -5*x + x**3 + 2*x + x**2 + 4 - 4*x**2 + x**2. Let f be q(3). Suppose 2*v = -2*r - 10 + 44, 2*v - 4 = 4*r. Solve 8*d + v = f*d for d.
-3
Suppose 0 = -4*v - q + 23 + 12, -25 = -5*v + 5*q. Let m = 10 - v. Solve 9 = 5*x - m*x for x.
3
Let p = -32 + 34. Solve -h = -p*h + 1 for h.
1
Let d = 3 + 0. Suppose -10 = v - d*v. Suppose -2*s + 6 = s. Solve -v*k + s = -3 for k.
1
Suppose -5*t = -27 - 13. Suppose 0*f + 4*f = 12. Let u be 54/t - f/(-12). Solve -u*d + 2*d = 5 for d.
-1
Suppose 0 = 2*r - 4*n - 14, -26 = -5*r + 4*n + 9. Let t(b) = b - 6. Let m be t(r). Solve w = 3 - m for w.
2
Let i = -8 + 33. Solve -4*f + i = f for f.
5
Let k = 61 - 60. Solve k = m - 0*m for m.
1
Let h = -6 - -11. Let z(w) = 2*w**2 + 2*w - 2. Let t be z(-2). Suppose -r = -t*r. Solve -h*l - 5 - 5 = r for l.
-2
Let g = 19 + -9. Let f be (-1 - 16/(-10))*g. Suppose 2*m - f = -m. Solve -2*t - m = 6 for t.
-4
Let d = 74 - 71. Solve -4 = 2*b - d*b for b.
4
Let p = 64 + -62. Solve -4*q + p*q = -4 for q.
2
Suppose -3*s + 4*g = -23, -3*g = -0*s - 5*s + 42. Solve -n = -4*n - s for n.
-3
Let l(g) = 14*g**3 - g**2 + 2*g - 1. Let x be l(1). Let f = x - 13. Solve -f - 15 = 4*n for n.
-4
Let y be ((-18)/4)/((-14)/28). Solve -5*z + 2*z = y for z.
-3
Let x(k) = -6*k - 1. Let q be x(-1). Suppose 0 = 3*t + c - 0 - 4, -4 = t - q*c. Suppose -2*y - 5*s - 10 = -t, 4*y - 21 = 3*s. Solve -3*n - y = -0*n for n.
-1
Let a = 66 + -111. Let b be (-34)/(-9) + (-10)/a. Suppose 3*t - b = 2. Solve -t*u + 5 = -3 for u.
4
Let k be 16/9 + (-2)/(-9). Let t = 19 + -16. Let j = -16 + 29. Solve k = t*b - j for b.
5
Suppose 0 = -5*j - 4*g - 2, -3*j - 2*j + 5*g - 20 = 0. Let x = j - -5. Solve -x - 5 = -4*u for u.
2
Let n(b) = -b + 8. Let v = -7 + 11. Let u be n(v). Let q be (-1)/((2 - 3)*1). Solve 3*p = u - q for p.
1
Let g(h) = 9*h + 4*h**3 - 3*h**3 - 4 - 4*h**2 - 2 - 3*h**2. Let z be g(6). Let c be (-4)/(-6) - (-52)/z. Solve 0 = -2*l + 3*l + c for l.
-5
Let c(m) = -3*m + 35. Let h be c(10). Solve 19 = -h*y - 1 for y.
-4
Let w(z) = z**3 - 9*z**2 - z + 10. Suppose 0 = 3*y - 3*x - 18, -36 = -y - 2*y - 3*x. Let v be w(y). Solve 0*a = a - v for a.
1
Let y = 33 + -29. Solve -k = k + y for k.
-2
Let j = -39 + 64. Let k = -9 + j. Solve -9 - k = -5*v for v.
5
Let x be 140/21*(-24)/10. Let y = x + 17. Solve y = -a + 6 for a.
5
Let h(q) = q + 8. Let j = -3 + -2. Let a be h(j). Solve -1 = -a*d - 13 for d.
-4
Let a(q) = q**2 + 2*q + 3. Suppose -5*i = 5 + 10. Let o be a(i). Solve 0 = -3*c - 0*c - o for c.
-2
Let g be (28/6)/(1/3). Suppose -m + 2 = -2*y - 0, 4*y - 8 = -m. Let b = -1 + 6. Solve -g = -b*o + y for o.
3
Suppose 3 = 4*q + s + 1, q = -3*s + 6. Suppose 0*y - 4*y
|
{
"pile_set_name": "DM Mathematics"
}
|
e units digit of g(-12)?
5
Suppose 0 = -3*s - 396*h + 391*h + 26713, -h + 35623 = 4*s. What is the thousands digit of s?
8
Let o(i) be the third derivative of i**5/60 - i**4/12 - 2*i**3/3 - 5*i**2. Let w be o(-2). What is the tens digit of (w/(16/(-10)))/((-7)/70)?
2
What is the units digit of (561 + -542)/(2/754)?
3
Let q be 3*-2 - (0/9 - 84). What is the hundreds digit of 2/((-42)/(-10359)) + q/(-273)?
4
Let h(c) = 8*c - 69. Let k be h(9). What is the tens digit of ((-120)/25 + 2)/(k/(-60))?
5
Let x = 19490 - -8401. What is the ten thousands digit of x?
2
Suppose -f - 5275 + 28278 = -2*j, -5*f - j + 115059 = 0. What is the ten thousands digit of f?
2
Suppose -3*p + 3*h = -2*h - 34, 0 = 2*p - h - 11. Suppose -p*v + g = 4*g - 882, v + 5*g = 310. What is the units digit of v?
0
Let n = 31452 - 1671. What is the tens digit of n?
8
Let i be -2 - 30/(30/(-5)). What is the hundreds digit of 0 - i - (-832 + -8)?
8
Let s(h) = 8*h**3 + 2*h + 3. Let a be s(-1). What is the tens digit of 8/(795/(-115) - a)?
9
Let s(c) = -3*c**3 - 9*c**2 + 18*c**3 - 1 - c**3 + 3*c + 2. What is the hundreds digit of s(5)?
5
Suppose -146 = -5*w + 4*f, -3*w + 5*f = -90 - 8. What is the units digit of 3 + w/(-10) + 10451/35?
9
Let a(s) = 27*s**2 + 2*s + 2958. What is the tens digit of a(-49)?
8
Let a(v) = -v**2 + 24*v + 55. Let w be a(26). Let g(t) = 12*t**3 - t**2 - t - 7. What is the units digit of g(w)?
5
Let q(z) = -z**3 + 76*z**2 - 96*z + 930. What is the units digit of q(36)?
4
What is the thousands digit of -6*(-232)/240*985?
5
Let p(a) = a**3 - 47*a**2 + 50*a + 12. Let g be p(46). Let w = -128 + g. What is the units digit of w?
8
Let g be (-33)/(-88) - 1547/(-56). Suppose -2 = -4*v + 2, -z - 3*v + 37 = 0. Let q = z - g. What is the units digit of q?
6
Suppose 188*k - 186*k - 5*y = 981, -3*y + 957 = 2*k. What is the hundreds digit of k?
4
Suppose 3*i - 16 = 5*r - 63, 0 = -4*i + 5*r - 56. Let b be (-2)/i - 129/(-27). Suppose -4*m = -4*g - 728, -b*g + 945 = 5*m - 3*g. What is the tens digit of m?
8
Let o = 453 + -454. Let g(b) = -612*b**3 + 12*b**2 + 12*b. What is the units digit of g(o)?
2
Let b = 464 + 288. Suppose -2*a = 2*a - b. Suppose 0 = -3*s + 3*c - 8*c + a, 4*s - 3*c = 270. What is the units digit of s?
6
Suppose -2*c + 72220 = 2*c. What is the hundreds digit of c?
0
Let d = 36 + -34. Suppose 0 = f - 2*z + 1, -6*f + 3*z + 6 = -d*f. Suppose -f*p + 246 = 3*p. What is the units digit of p?
1
Let y = 188 - 113. Let v = y - -54. Suppose a + 6*m - v = m, 5*m = -5*a + 585. What is the hundreds digit of a?
1
Let i be (-793)/(-65) + (-4)/(-5). Let y(r) = -4 + 4 + i + 25*r. What is the units digit of y(4)?
3
Let m = -76 + 96. What is the units digit of -3 + 808/m*5?
9
Let m(h) = 373*h**3 + 4*h**2 - 5*h + 1. What is the units digit of m(2)?
1
Suppose 0 = -o - 4*w, -6 = -o - 0*o + 2*w. Let x be (-2 + o)/(3 + (-10)/4). Suppose -11 = -q + 5*i + 13, -2*q + x*i = -24. What is the units digit of q?
4
Let k be 315/18*368/5. Suppose 0 = 5*f - k + 223. Suppose -3*o - 4*m + 165 + 46 = 0, -f = -3*o - 3*m. What is the units digit of o?
3
Let z = -11 + 7. Let x(g) = -5*g + 4*g**2 - 5 + 3*g**2 + 0*g**2 + 11*g + g**2. What is the units digit of x(z)?
9
Suppose 2*l = 6*l - 5*j, -5*l = -3*j. Suppose 5*h + 597 = 5*r + 1687, -5*h - r + 1078 = l. What is the tens digit of h?
1
Let p = -15035 + 21086. What is the thousands digit of p?
6
Let t = -65 - -83. Suppose -4*l + t = 5*l. Suppose -2*v + 674 = 4*b, l*b - 3*v = -6*v + 343. What is the units digit of b?
7
Let c be 66/(-3) + 4 + -4. Let z(d) = 28*d - 74. Let n be z(9). Let a = n + c. What is the hundreds digit of a?
1
Let a(y) = -y**2 - y - 4. Let t(w) = 4. Let b(o) = 3*a(o) + 2*t(o). Let j be b(-2). What is the units digit of ((-12)/10)/((-4)/j) - -54?
1
Suppose -3*i - 36*p = -37*p - 120757, 10 = 5*p. What is the thousands digit of i?
0
Let f(r) = -25*r - 23. Let c be f(-7). Suppose -c = 5*n - 107. Let w(g) = 2*g**2 + 9*g - 17. What is the tens digit of w(n)?
6
Suppose f - 2 = -q, -11 = f - 2*f - 4*q. What is the tens digit of (420/(-126))/(f/222)?
4
Let s(k) = k**3 + 12*k**2 - 9*k - 48. What is the hundreds digit of s(9)?
5
Let u(y) = 16*y**2 - 1599*y - 144. What is the hundreds digit of u(125)?
9
Suppose 0 = 8*q - 10*q + 3*x, -2*x = -q. Suppose 4*k + 5*g - 4627 = q, 5774 = 5*k - 0*k + 3*g. What is the thousands digit of k?
1
Let p be -10*(18 - -1) - -4. What is the thousands digit of (-1032)/36*p/4?
1
What is the tens digit of (1 + 318/6)*(1 + 215)?
6
Let r = 324 - 349. Let w(f) = -33*f - 79. What is the hundreds digit of w(r)?
7
Let o = 19742 - 866. What is the thousands digit of o?
8
Suppose -2*j = 5*f + 25, -5*f - 4*j + j - 30 = 0. Let v be -3*(-25)/(-30)*2. What is the tens digit of v - f - (-54)/4*8?
0
Let k = 4508 + 12784. What is the thousands digit of k?
7
Let s be -12 - 1 - (-3)/(15/20). Let w(a) = a**3 + 10*a**2 - 7*a - 15. What is the hundreds digit of w(s)?
1
Let c(p) = -p**3 + 33*p**2 + 36*p - 58. Let d be c(34). Let z(w) = 5*w**2 + 7*w - 72. What is the hundreds digit of z(d)?
4
Let s(u) = 5*u + 148. Let h be s(-30). What is the hundreds digit of (-32 + -875)*(-3 - h)?
9
Let u = -7886 - -26193. What is the hundreds digit of u?
3
Suppose 5*o = r - 1, 2*o = 5*r - 22 - 6. Suppose -r - 19 = -5*j. Suppose 0 = f - 4*w - 216, j*f - 1008 = -2*w + 4*w. What is the units digit of f?
0
Suppose -2147 = 10*l - 37707. Let n = -2406 + l. What is the hundreds digit of n?
1
Suppose 12680*t - 12685*t + 18870 = 0. What is the tens digit of t?
7
Let q = 540 + -862. Suppose 6 = 3*c - 6, 3*c = 2*v + 924. Let m = q - v. What is the units digit of m?
4
Let s(c) be the first derivative of -c**4/4 - 5*c**3 - 9*c**2/2 - 25*c + 10. Let j be s(-15). Let a = j - 83. What is the units digit of a?
7
Let d be -2*-3*5/(-30). What is the units digit of 470 + (d - 2 - 3)?
4
Suppose -642*p + 621*p + 1053339 = 0. What is the hundreds digit of p?
1
Let o(r) = -104*r**2 - 60*r + 242. Let x(l) = -104*l**2 - 59*l + 242. Let z(j) = -7*o(j) + 6*x(j). What is the thousands digit of z(4)?
1
Let h be 1113/27 - 1/(63/14). Let a(n) = n**3 - 41*n**2 + 22*n + 109. What is the units digit of a(h)?
1
Suppose -2429986 = -189*b + 3*b + 674912. What is the units digit of b?
3
Suppose 0 = 1407*z - 1401*z - 390. Suppose 10*a + 71720 = z*a. What is the units digit of a?
4
Let w = 2352 + 9844. What is the hundreds digit of w?
1
Let f = 1391 + -694. Let s = f - -565. What is the tens digit of s?
6
Let d(j) = 9*j - 1 + j**3 + j - 4*j**2 - 7*j**3 + 2 - 5*j**2. What is the tens digit of d(-7)?
4
Let w = -174 + 176. Suppose 642 = w*v - 2*d, v - 348 = -3*d - 35. What is the tens digit of v?
1
Let x(b) = 1127*b + 3251. What is the tens digit of x(12)?
7
Let b = -236 + 232. Let x(k) = -11*k**3 - 14*k**2 + 5*k - 2. What is the hundreds digit of x(b)?
4
Suppose -3*f + 3159 = -12*f. Let k be (-1 - -3)/(18/f). Let y = 50 + k. What is the tens digit of y?
1
Let n(j) = 19*j - 8. Let d be n(0). Let z(i) = -i**3 - 2*i**2 - 21*i - 27. What is the tens digit of z(d)?
2
Let h(o) = 6*o**2 - 28*o - 175. Let i be h(-7). Let f = i - -742. What is the tens digit of f?
5
Let u = -18365 + 36862. What is the ten thousands digit of u?
1
Let m = -12 - -18. Suppose -m*p + 765 = -p. What is the tens digit of p?
5
Let v(r) = 15*r**2 - 1. Let c be -3 + (4 - 0/(-3)). Let s be v(c). What is the tens digit of 1074/s - (-4)/14?
7
What is the thousands digit of 2354*((-5)/(-7) + (-78)/(-273))?
2
Let t(o) = -o**3 + 9*o**2 + 11*o - 10. Suppose -28 - 22 = -5*s. Let k be t(s). Let i = 2 - k. What is the units digit of i?
2
Let j be ((-12)/15)/(3/195). Let w(d) = -12*d - 410. What is the units digit of w(j)?
4
Let g(s) = -s - 5. Let a be g(-8). Suppose -5*l + 12 + 643 = 5*m, -m = -a*l - 111. Suppose 11*h - m = 8*h. What is the units digit of h?
2
What is the units digit of 60/(-36)*2*6/4 + 8068?
3
Let r = 83225 + -48508. What is the ten thousands digit of r?
3
Let i be (-5 - -15) + -9 - (-1 + -14). What is the tens digit of (-10)/(-4) + (-12)/i*-1286?
6
Let h be ((-5)/10*16)/(-2). Suppose -4*p + 2*b = -1836, h*p - 2*b - 3*b = 1842. What is the hundreds digit of p?
4
Let t = -435 - -421. Let l(x) = -61*x - 47. What is the units digit of l(t)?
7
What is the hundreds digit of 754*(-57)/(-6) + (56/4)/7?
1
Suppose -328*x =
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is fifty-seven halves of a tonne in kilograms?
28500
How many minutes are there in twenty-seven fifths of a hour?
324
How many grams are there in 1.997464kg?
1997.464
How many milligrams are there in 845559.3t?
845559300000000
What is 847252.8 centuries in millennia?
84725.28
How many nanograms are there in 288.9962kg?
288996200000000
How many millilitres are there in 1455.993 litres?
1455993
Convert 6359.812 decades to centuries.
635.9812
How many millilitres are there in 33/5 of a litre?
6600
How many years are there in ninety-one quarters of a millennium?
22750
How many millilitres are there in 23/8 of a litre?
2875
Convert 29.52216 meters to kilometers.
0.02952216
Convert 4187.592um to kilometers.
0.000004187592
What is eleven halves of a litre in millilitres?
5500
How many millilitres are there in twenty-seven fifths of a litre?
5400
How many millimeters are there in 45/2 of a centimeter?
225
Convert 14.1024m to kilometers.
0.0141024
How many centimeters are there in 9176.641 kilometers?
917664100
What is 5.564782ml in litres?
0.005564782
What is 39921.36 years in millennia?
39.92136
How many weeks are there in 86062.536 hours?
512.277
How many micrometers are there in five eighths of a millimeter?
625
How many millilitres are there in 1/20 of a litre?
50
Convert 2167.98 hours to seconds.
7804728
What is 180738.48 months in decades?
1506.154
Convert 1.916811 days to seconds.
165612.4704
How many millilitres are there in 7/2 of a litre?
3500
How many decades are there in three tenths of a millennium?
30
What is 7.199494 minutes in nanoseconds?
431969640000
What is 1/20 of a kilogram in milligrams?
50000
How many months are there in 13/5 of a century?
3120
What is 18.59832l in millilitres?
18598.32
Convert 2.992651 grams to nanograms.
2992651000
What is 574.7497ns in seconds?
0.0000005747497
Convert 9.341884 tonnes to kilograms.
9341.884
How many years are there in 7/4 of a century?
175
How many micrograms are there in three tenths of a milligram?
300
How many kilograms are there in one quarter of a tonne?
250
How many milligrams are there in fourty-two fifths of a gram?
8400
What is 7/4 of a milligram in micrograms?
1750
What is one quarter of a kilometer in centimeters?
25000
How many decades are there in seventy-nine halves of a millennium?
3950
How many micrograms are there in eighty-five quarters of a milligram?
21250
What is 8.197121 millennia in years?
8197.121
What is 6/5 of a litre in millilitres?
1200
How many litres are there in 5.202996 millilitres?
0.005202996
What is 4681.439ml in litres?
4.681439
Convert 3704.956 days to milliseconds.
320108198400
What is 29/2 of a litre in millilitres?
14500
What is 27/5 of a litre in millilitres?
5400
What is fourty-three quarters of a litre in millilitres?
10750
How many seconds are there in thirty-seven fifths of a minute?
444
How many hours are there in 4/3 of a day?
32
How many nanograms are there in 27/4 of a microgram?
6750
What is 22.24285 decades in centuries?
2.224285
How many microseconds are there in 307943.8 nanoseconds?
307.9438
How many weeks are there in 574520.59 days?
82074.37
What is 4/3 of a minute in milliseconds?
80000
What is 8/25 of a tonne in kilograms?
320
What is 118.9145l in millilitres?
118914.5
How many hours are there in thirteen quarters of a day?
78
What is 6/25 of a litre in millilitres?
240
What is 7/2 of a micrometer in nanometers?
3500
How many months are there in twenty-one halves of a century?
12600
What is 216663.6 tonnes in nanograms?
216663600000000000000
What is 1/5 of a litre in millilitres?
200
How many grams are there in 5456.325 tonnes?
5456325000
Convert 0.6806838 millilitres to litres.
0.0006806838
What is 4914.666m in centimeters?
491466.6
What is 27848.32 centuries in years?
2784832
How many milligrams are there in 75/2 of a gram?
37500
What is twenty-one quarters of a decade in months?
630
What is 3/5 of a centimeter in millimeters?
6
How many minutes are there in seven thirds of a week?
23520
How many micrograms are there in 13/4 of a milligram?
3250
What is nineteen quarters of a hour in minutes?
285
Convert 278.2289 tonnes to nanograms.
278228900000000000
What is 55/4 of a meter in millimeters?
13750
Convert 7131.664 litres to millilitres.
7131664
How many micrometers are there in 1/10 of a millimeter?
100
What is 89.1187 litres in millilitres?
89118.7
What is 845859.2l in millilitres?
845859200
How many seconds are there in 1/10 of a hour?
360
What is 477312.4 micrometers in meters?
0.4773124
How many decades are there in 19068.81 months?
158.90675
What is 53.85967 litres in millilitres?
53859.67
How many days are there in eleven sevenths of a week?
11
What is 14.90133l in millilitres?
14901.33
What is twenty-five quarters of a gram in milligrams?
6250
How many days are there in 6.7871088ns?
0.0000000000000785545
What is 75245.46 years in centuries?
752.4546
How many kilograms are there in 11841.81 micrograms?
0.00001184181
How many centimeters are there in 6/25 of a meter?
24
How many centimeters are there in 6/5 of a meter?
120
What is 0.8753859ml in litres?
0.0008753859
How many minutes are there in 11/7 of a week?
15840
How many minutes are there in 19820.64ms?
0.330344
How many millilitres are there in 0.2854328l?
285.4328
Convert 458.2223 weeks to hours.
76981.3464
What is seventy-one quarters of a millennium in decades?
1775
How many seconds are there in 0.3762567 minutes?
22.575402
Convert 1617.279l to millilitres.
1617279
Convert 34369.49cm to kilometers.
0.3436949
What is 401419.3ml in litres?
401.4193
What is 5/6 of a millennium in months?
10000
Convert 559031.7 months to millennia.
46.585975
What is 46/5 of a milligram in micrograms?
9200
How many millilitres are there in 2/125 of a litre?
16
How many millimeters are there in 34/5 of a meter?
6800
What is 626250.8 centimeters in micrometers?
6262508000
How many seconds are there in thirty-one fifths of a hour?
22320
How many days are there in 6.687372 hours?
0.2786405
Convert 403771.9 milligrams to micrograms.
403771900
What is 3/50 of a minute in milliseconds?
3600
How many millilitres are there in twenty-one halves of a litre?
10500
What is 0.9612411 centuries in millennia?
0.09612411
What is 45/2 of a millennium in centuries?
225
What is 17/4 of a meter in centimeters?
425
What is seven quarters of a kilometer in meters?
1750
What is 55/4 of a litre in millilitres?
13750
How many millilitres are there in twenty-five halves of a litre?
12500
What is five quarters of a millennium in years?
1250
What is 211.193mm in micrometers?
211193
What is 89217.6nm in meters?
0.0000892176
What is 1/20 of a millisecond in nanoseconds?
50000
How many years are there in 48/5 of a century?
960
How many nanoseconds are there in 834134.5ms?
834134500000
How many decades are there in one quarter of a millennium?
25
Convert 83738.87 grams to micrograms.
83738870000
What is 11.96789g in kilograms?
0.01196789
How many milligrams are there in one quarter of a gram?
250
What is thirteen quarters of a millennium in months?
39000
How many meters are there in 0.4565777mm?
0.0004565777
What is 68.57437 years in millennia?
0.06857437
How many nanograms are there in 1/4 of a microgram?
250
What is three tenths of a litre in millilitres?
300
How many litres are there in 953.526 millilitres?
0.953526
What is 6/25 of a centimeter in micrometers?
2400
What is 42/5 of a decade in months?
1008
Convert 385949.8 millennia to years.
385949800
How many nanograms are there in ninety-three quarters of a microgram?
23250
Convert 4898.526 centuries to years.
489852.6
What is 3/8 of a litre in millilitres?
375
Convert 959.2033ug to grams.
0.0009592033
Convert 276.75711 seconds to minutes.
4.6126185
Convert 0.6552585ns to seconds.
0.0000000006552585
How many millimeters are there in 439.0883 meters?
439088.3
What is 1/20 of a litre in millilitres?
50
What is twenty-one fifths of a millennium in months?
50400
How many millilitres are there in 84.22727 litres?
84227.27
How many microseconds are there in 13106.01 minutes?
786360600000
How many kilograms are there in 87.34608t?
87346.08
How many seconds are there in one fifth of a minute?
12
How many nanometers are there in 3/8 of a micrometer?
375
Convert 5.386389
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of 11?
False
Is 50 a factor of 900?
True
Is 79 a factor of 3318?
True
Is 43 a factor of 817?
True
Does 20 divide 900?
True
Is 57 a factor of 13281?
True
Is 9 a factor of 937?
False
Does 18 divide 41036?
False
Does 32 divide 1828?
False
Is 788 a multiple of 10?
False
Does 50 divide 33300?
True
Does 23 divide 58397?
True
Is 24 a factor of 24?
True
Is 35 a factor of 315?
True
Is 570 a multiple of 2?
True
Is 21 a factor of 1264?
False
Is 496 a multiple of 8?
True
Is 36 a factor of 139356?
True
Is 13 a factor of 2236?
True
Is 10 a factor of 4708?
False
Is 3332 a multiple of 28?
True
Does 11 divide 791?
False
Is 163 a factor of 38305?
True
Is 8500 a multiple of 68?
True
Is 25 a factor of 494?
False
Is 85 a factor of 2762?
False
Does 3 divide 1811?
False
Is 56 a multiple of 8?
True
Does 6 divide 2676?
True
Is 35 a factor of 735?
True
Does 30 divide 150?
True
Is 15597 a multiple of 35?
False
Is 1064 a multiple of 38?
True
Is 76 a multiple of 2?
True
Is 31 a factor of 248?
True
Does 18 divide 39426?
False
Is 14878 a multiple of 43?
True
Is 662 even?
True
Is 525 a multiple of 15?
True
Is 11 a factor of 29377?
False
Is 50 a factor of 49662?
False
Is 1825 a multiple of 14?
False
Does 8 divide 10463?
False
Does 62 divide 37448?
True
Does 7 divide 61?
False
Is 13 a factor of 245?
False
Is 1617 a multiple of 22?
False
Is 20 a factor of 920?
True
Is 21 a factor of 1638?
True
Is 19 a factor of 4579?
True
Is 4070 a multiple of 22?
True
Does 4 divide 7131?
False
Is 8704 a multiple of 8?
True
Does 10 divide 126?
False
Does 50 divide 211?
False
Is 11704 a multiple of 44?
True
Does 20 divide 33740?
True
Is 234 a multiple of 11?
False
Is 78 a factor of 1404?
True
Is 6876 a multiple of 20?
False
Is 56 a factor of 32032?
True
Is 36 a factor of 972?
True
Is 16240 a multiple of 40?
True
Is 16 a factor of 5921?
False
Is 159 a multiple of 2?
False
Does 28 divide 393?
False
Is 5 a factor of 8652?
False
Is 10 a factor of 59660?
True
Is 12 a factor of 816?
True
Is 35506 a multiple of 45?
False
Is 14308 a multiple of 196?
True
Does 119 divide 8330?
True
Is 40590 a multiple of 205?
True
Is 868 a multiple of 124?
True
Is 2814 a multiple of 7?
True
Does 4 divide 3149?
False
Is 9 a factor of 8739?
True
Does 24 divide 68760?
True
Does 2 divide 32?
True
Is 200 a multiple of 20?
True
Does 127 divide 2667?
True
Is 16649 a multiple of 3?
False
Does 5 divide 22835?
True
Is 77 a multiple of 2?
False
Does 8 divide 26203?
False
Does 87 divide 2095?
False
Does 74 divide 3256?
True
Is 13 a factor of 2960?
False
Is 24 a factor of 84192?
True
Is 29 a factor of 6184?
False
Is 25112 a multiple of 292?
True
Is 24 a factor of 11917?
False
Does 3 divide 780?
True
Is 129 a multiple of 29?
False
Is 110 a multiple of 3?
False
Is 4 a factor of 2953?
False
Does 95 divide 19671?
False
Does 6 divide 8010?
True
Is 5 a factor of 346?
False
Does 3 divide 131?
False
Does 8 divide 4464?
True
Is 28 a factor of 1403?
False
Does 20 divide 58280?
True
Is 7 a factor of 36736?
True
Is 6 a factor of 805?
False
Is 98325 a multiple of 57?
True
Is 3934 a multiple of 7?
True
Is 23 a factor of 1692?
False
Is 16 a factor of 19203?
False
Is 267 a multiple of 17?
False
Is 7 a factor of 905?
False
Does 9 divide 5352?
False
Is 1955 a multiple of 81?
False
Does 105 divide 735?
True
Is 28 a multiple of 4?
True
Is 32227 a multiple of 179?
False
Does 192 divide 73397?
False
Is 560 a multiple of 35?
True
Is 10 a factor of 2525?
False
Is 13 a factor of 908?
False
Does 45 divide 4455?
True
Is 8789 a multiple of 11?
True
Is 6496 a multiple of 203?
True
Does 2 divide 8833?
False
Is 9 a factor of 2394?
True
Is 92 a factor of 10672?
True
Is 8400 a multiple of 14?
True
Is 5 a factor of 5?
True
Does 42 divide 4158?
True
Is 360 a multiple of 19?
False
Is 361 a factor of 1558?
False
Does 7 divide 118663?
False
Does 8 divide 25712?
True
Does 255 divide 78480?
False
Does 8 divide 645?
False
Is 126 a multiple of 63?
True
Does 113 divide 22771?
False
Does 17 divide 2278?
True
Does 66 divide 133?
False
Does 18 divide 5292?
True
Is 2552 a multiple of 29?
True
Is 600 a multiple of 40?
True
Is 204 a multiple of 6?
True
Does 14 divide 4802?
True
Is 1069 a multiple of 19?
False
Does 21 divide 578?
False
Is 25 a factor of 696?
False
Is 256 a multiple of 32?
True
Is 57 a factor of 6480?
False
Is 2346 a multiple of 34?
True
Is 86 a factor of 69346?
False
Is 79937 a multiple of 31?
False
Is 6756 a multiple of 12?
True
Does 2 divide 1392?
True
Is 23 a factor of 846?
False
Does 77 divide 22680?
False
Does 31 divide 39538?
False
Does 45 divide 450?
True
Is 15 a factor of 80?
False
Is 9 a factor of 144?
True
Is 1479 a multiple of 7?
False
Is 6 a factor of 1440?
True
Is 2937 a multiple of 33?
True
Is 1955 a multiple of 17?
True
Does 21 divide 353?
False
Is 68164 a multiple of 231?
False
Does 3 divide 217?
False
Is 15 a factor of 2112?
False
Does 100 divide 2200?
True
Is 43 a factor of 18509?
False
Is 20 a factor of 1320?
True
Is 33 a factor of 11215?
False
Is 938 a multiple of 16?
False
Does 55 divide 123021?
False
Is 39 a multiple of 4?
False
Is 11 a factor of 3025?
True
Is 9547 a multiple of 88?
False
Is 52088 a multiple of 136?
True
Does 13 divide 765?
False
Does 140 divide 2878?
False
Is 88587 a multiple of 34?
False
Does 10 divide 8780?
True
Is 15 a factor of 454?
False
Is 10 a factor of 39890?
True
Is 2340 a multiple of 10?
True
Is 100 a multiple of 7?
False
Is 1632 a multiple of 17?
True
Is 787 a multiple of 41?
False
Is 14048 a multiple of 13?
False
Does 2 divide 3?
False
Is 9 a factor of 7195?
False
Is 16 a factor of 1053?
False
Does 163 divide 23309?
True
Is 25 a factor of 2323?
False
Is 9 a factor of 234?
True
Is 28 a factor of 14423?
False
Does 22 divide 242?
True
Is 42 a factor of 1685?
False
Is 362 a factor of 10136?
True
Is 45 a factor of 1009?
False
Is 6 a factor of 120?
True
Is 1688 a multiple of 19?
False
Is 848 a multiple of 29?
False
Is 18 a factor of 2003?
False
Is 416 a factor of 128978?
False
Is 241 a multiple of 12?
False
Does 15 divide 270?
True
Does 74 divide 16724?
True
Is 3432 a multiple of 52?
True
Does 40 divide 6684?
False
Does 34 divide 1972?
True
Is 97 a factor of 617?
False
Is 666 a multiple of 20?
False
Is 108 a factor of 767?
False
Does 25 divide 103150?
True
Does 3 divide 61?
False
Does 5 divide 3184?
False
Is 34 a factor of 1482?
False
Is 16 a factor of 12736?
True
Does 22 divide 1738?
True
Is 4 a factor of 2696?
True
Does 88 divide 2640?
True
Does 4 divide 7261?
False
Is 16 a factor of 456?
False
Is 42 a factor of 3360?
True
Is 22 a factor of 46266?
True
Is 1958 a multiple of 89?
True
Does 143 divide 96073?
False
Does 7 divide 112?
True
Is 3 a factor of 19697?
False
Does 6 divide 138?
True
Is 7 a factor of 1167?
False
Is 772 a multiple of 90?
False
Is 510 a multiple of 18?
False
Does 116 divide 12411?
False
Does 56 divide 7336?
True
Does 23 divide 1682?
False
Does 54 divide 1404?
True
Is 20 a factor of 1340?
True
Is 280 a multiple of 5?
True
Is 13 a factor of 52?
True
Does 15 divide 6440?
False
Is 34 a factor of 9379?
False
Does 38 divide 87366?
False
Does 10 divide 1100?
True
Is 39137 a multiple of 96?
False
Does 15 divide 297?
False
Is 336 a multiple of 21?
True
Is 21 a factor of 80019?
False
Is 1120 a multiple of 12?
False
Does 26 divide 3692?
True
Is 56 a factor of 22817?
False
Is 31 a factor of 38719?
True
Is 115 a multiple of 11?
False
Does 3 divide 61?
False
Does 25 divide 3216?
False
Is 1772 even?
True
Is 23592 a multiple of 12?
True
Does 32 divide 4448?
True
Is 6 a factor of 2982?
True
Does 117 divide 11063?
False
Is 4642 a multiple of 36?
False
Is 5687 a multiple of 53?
False
Is 10 a factor of 1140?
True
Does 44 divide 3246?
False
Is 83 a multiple of 3?
False
Does 52 divide 302?
False
Does 42 divide 10500?
True
Is 100 a factor of 11505?
False
Is 22 a factor of 12892?
True
Is 15 a factor of 86430?
True
Does 5 divide 31?
False
Is 8 a factor of 386?
False
Does 160 divide 5440?
True
Does 21 divide 344?
False
Is 840 a multiple of 120?
True
Does 43 divide 129?
True
Does 28 divide 5740?
True
Is 4284 a multiple of 21?
True
Is 33022 a multiple of 209?
True
Is 15 a factor of 1590?
True
Does 35 divide 1015?
True
Does 19 divide 5067?
False
Is 1705 a multiple of 5?
True
Is 857 a multiple of 5?
False
Is 23 a factor
|
{
"pile_set_name": "DM Mathematics"
}
|
-4, -1624.
-1624, -188, -5, -4
Sort 0.06, 198, -3.2, 0.
-3.2, 0, 0.06, 198
Sort 49, 3, -2, -3, 2 in increasing order.
-3, -2, 2, 3, 49
Put 3, -21, -2, 1, -8, -467 in decreasing order.
3, 1, -2, -8, -21, -467
Sort 0, -3, -5, -2, -5135 in decreasing order.
0, -2, -3, -5, -5135
Put 0, 4, -3, 240, 18 in ascending order.
-3, 0, 4, 18, 240
Sort -5614, -5, 1, -2, 2, -1 in descending order.
2, 1, -1, -2, -5, -5614
Put 1, -3, -1, -23994 in increasing order.
-23994, -3, -1, 1
Put 21, 1, -4, 5, 0, -3 in descending order.
21, 5, 1, 0, -3, -4
Put 2438, 2, 147 in increasing order.
2, 147, 2438
Put -0.1, -2/9, 0.04, -17/3, -0.2 in decreasing order.
0.04, -0.1, -0.2, -2/9, -17/3
Sort -1, 0, -5, 2838.
-5, -1, 0, 2838
Put -2510, -4, -24, -2 in decreasing order.
-2, -4, -24, -2510
Sort -2, -138/11, 2/11, -8/9 in ascending order.
-138/11, -2, -8/9, 2/11
Sort 2, -1, -4, 13, -64 in descending order.
13, 2, -1, -4, -64
Sort -3, -7/107, -0.1, -2 in decreasing order.
-7/107, -0.1, -2, -3
Put -1, 41958, -3 in increasing order.
-3, -1, 41958
Sort -76579, 3, 5.
-76579, 3, 5
Sort -1244.9, 0, 22/9 in descending order.
22/9, 0, -1244.9
Sort -4, 5, -15, 1, -9 in descending order.
5, 1, -4, -9, -15
Put 1/49, -2/11, 684 in increasing order.
-2/11, 1/49, 684
Sort -1, -1315, -2, 2, 1, 5 in decreasing order.
5, 2, 1, -1, -2, -1315
Put 15, 2, 277, -3, -1 in increasing order.
-3, -1, 2, 15, 277
Sort 2, -3778, 5, -1, -7, -5.
-3778, -7, -5, -1, 2, 5
Put -30, -1/2, -81 in ascending order.
-81, -30, -1/2
Sort 0.4, -1072, 1/19, 0.05 in decreasing order.
0.4, 1/19, 0.05, -1072
Sort -1/2, 23, 5, 0.60604, -2.
-2, -1/2, 0.60604, 5, 23
Sort -45, -7, -2125 in descending order.
-7, -45, -2125
Put 0.5, -2, 2/3, 1031, -6, 0.4 in increasing order.
-6, -2, 0.4, 0.5, 2/3, 1031
Sort 1/2, -0.3, 13, 1/16, -12 in increasing order.
-12, -0.3, 1/16, 1/2, 13
Put -3, 25, -5, -2, 4, -147 in descending order.
25, 4, -2, -3, -5, -147
Sort -5, -223, 4, 1 in increasing order.
-223, -5, 1, 4
Put -53884, -1, 2 in ascending order.
-53884, -1, 2
Put 21, 208, -1/6, -2/7 in ascending order.
-2/7, -1/6, 21, 208
Put 2.4, -1/2, -8, 0, 2/17 in descending order.
2.4, 2/17, 0, -1/2, -8
Sort 65, 89, 15, -0.2.
-0.2, 15, 65, 89
Put -4, -6, 0, 4, 1619, 5 in ascending order.
-6, -4, 0, 4, 5, 1619
Sort -9, 1547, -4, 2.
-9, -4, 2, 1547
Sort -15386, 3, -0.5.
-15386, -0.5, 3
Put -1, -3, 912, -5 in increasing order.
-5, -3, -1, 912
Put 12.1, 0.3, -4, -90, 2 in decreasing order.
12.1, 2, 0.3, -4, -90
Put 4, -14, 75, 3, 2 in descending order.
75, 4, 3, 2, -14
Sort -50, -1, 376 in descending order.
376, -1, -50
Sort 0, -1543, -2 in descending order.
0, -2, -1543
Sort -3, -1, 3, 5201 in increasing order.
-3, -1, 3, 5201
Put -60, -8, 0.3, 2, -1, 2/3 in ascending order.
-60, -8, -1, 0.3, 2/3, 2
Sort -6, -1989, -4/7, -1 in decreasing order.
-4/7, -1, -6, -1989
Put -5, 1, -26, 0, -20, 5 in descending order.
5, 1, 0, -5, -20, -26
Sort -35, 0.23, -5 in descending order.
0.23, -5, -35
Sort 7, 5, 4, 228, -3 in decreasing order.
228, 7, 5, 4, -3
Sort 17, -1850, 0.4 in ascending order.
-1850, 0.4, 17
Sort 4, 0.4, -2/239, -33 in decreasing order.
4, 0.4, -2/239, -33
Put -5, 2, 118, -2, -19, -4 in increasing order.
-19, -5, -4, -2, 2, 118
Put 3, 126, -2, -2/7, 0.01, 5 in ascending order.
-2, -2/7, 0.01, 3, 5, 126
Sort 12, 2117, -5, -3 in descending order.
2117, 12, -3, -5
Put 0, -2, 2, -70, -1, 25 in descending order.
25, 2, 0, -1, -2, -70
Sort -6, 99, 5, 4, 1 in ascending order.
-6, 1, 4, 5, 99
Put 26, -4/29, -7 in ascending order.
-7, -4/29, 26
Sort 46, 1, -0.1, -1/4, -11/4 in decreasing order.
46, 1, -0.1, -1/4, -11/4
Sort 272, -1, 1215 in decreasing order.
1215, 272, -1
Sort 0, -0.013, 44.
-0.013, 0, 44
Sort 7, -3, -1, 30981 in descending order.
30981, 7, -1, -3
Sort -3, 5, 12, -19, -4, 2.
-19, -4, -3, 2, 5, 12
Sort -40, -130, -2, -3.
-130, -40, -3, -2
Sort 10, -5, 11, -4, 5 in increasing order.
-5, -4, 5, 10, 11
Sort -78254, -5, -0.4 in decreasing order.
-0.4, -5, -78254
Sort -3, -5, 3, -2773, 2 in increasing order.
-2773, -5, -3, 2, 3
Sort -3, 0.2, -1/644, 1, 1/15, -0.3 in descending order.
1, 0.2, 1/15, -1/644, -0.3, -3
Put -39, 2, -1309, -5 in descending order.
2, -5, -39, -1309
Sort 77, 0, 2, 67, 1.
0, 1, 2, 67, 77
Put -0.1, -0.39, -0.09 in decreasing order.
-0.09, -0.1, -0.39
Sort -1, 1076, -42 in increasing order.
-42, -1, 1076
Sort -0.2, -3/2, -2, 1/3, 0.2178 in increasing order.
-2, -3/2, -0.2, 0.2178, 1/3
Sort 7.9, 0.3, -8, -0.1, 0.4, -0.4 in descending order.
7.9, 0.4, 0.3, -0.1, -0.4, -8
Sort 11, 0, -1, -8599 in descending order.
11, 0, -1, -8599
Put -145, -0.044, -3 in increasing order.
-145, -3, -0.044
Put 0.24, -1195, 9 in descending order.
9, 0.24, -1195
Put 1, -3, -833809 in decreasing order.
1, -3, -833809
Put -23, 3, -3, -2, 14 in ascending order.
-23, -3, -2, 3, 14
Put -10, -5, 10, -88 in increasing order.
-88, -10, -5, 10
Sort 9, 164, -9, 3 in decreasing order.
164, 9, 3, -9
Sort -0.8, 1/6, 4/7, -99.2, 0.3 in increasing order.
-99.2, -0.8, 1/6, 0.3, 4/7
Sort -6, -1, -9493, 5 in descending order.
5, -1, -6, -9493
Sort -3, -7, 31, 43, 4, 2 in decreasing order.
43, 31, 4, 2, -3, -7
Sort -4, 0, 9770.
-4, 0, 9770
Sort -7, -69, -59 in ascending order.
-69, -59, -7
Sort -1, 2138, 4 in descending order.
2138, 4, -1
Put -13, -349, -1, -4 in descending order.
-1, -4, -13, -349
Sort -3/5, 434, 8952 in decreasing order.
8952, 434, -3/5
Sort -38, -238, 4, 0 in ascending order.
-238, -38, 0, 4
Put 0, -5/4, 66, 16, 1 in descending order.
66, 16, 1, 0, -5/4
Put -7/4, 13/6, 44/27 in ascending order.
-7/4, 44/27, 13/6
Sort 2, -3/5, -10742.9 in decreasing order.
2, -3/5, -10742.9
Put 1335, -3, 1/2, 1, -23 in descending order.
1335, 1, 1/2, -3, -23
Put -0.2, -5/3, -22, 17/1250 in descending order.
17/1250, -0.2, -5/3, -22
Sort -2/11, 7/23, 1/17 in descending order.
7/23, 1/17, -2/11
Sort -14477, -4, -1, -2 in descending order.
-1, -2, -4, -14477
Sort 2, 1, -2, 0, -4, -138 in increasing order.
-138, -4, -2, 0, 1, 2
Sort 0, -5, 112, -186.
-186, -5, 0, 112
Put -120, 48, 1, -1 in decreasing order.
48, 1, -1, -120
Put 30, 2, -4, -26, 3, -3 in descending order.
30, 3, 2, -3, -4, -26
Sort 318, -2/15, -47 in increasing order.
-47, -2/15, 318
Put -22, 4, -3, -5, 0, 3 in descending order.
4, 3, 0, -3, -5, -22
Sort -5, 54, 4, 16, -4, 15 in decreasing order.
54, 16, 15, 4, -4, -5
Sort -0.118, 0.2, 9.4, -3, 2/17.
-3, -0.118, 2/17, 0.2, 9.4
Put 0.22, -1, -72634 in decreasing order.
0.22, -1, -72634
Sort -84, -1.1, 2/7, 0.3 in descending order.
0.3, 2/7, -1.1, -84
Sort -5, 2, 7, 3, 1063 in descending order.
1063, 7, 3, 2, -5
Sort 4038, 0.2, 0.7 in decreasing order.
4038, 0.7, 0.2
Put 10, 1, -1, 119, -5, 7 in decreasing order.
119, 10, 7, 1, -1, -5
Sort -3, -5, -112, -1, -36 in ascending order.
-112, -36, -5, -3, -1
Put 10, -4, 1.234, 4 in decreasing order.
10, 4, 1.234, -4
Sort 320/11, -0.4, -1/3, -10, -4 in ascending order.
-10, -4, -0.4, -1/3, 320/11
Put -28, 2, 62, 4, 7 in decreasing order.
62, 7, 4, 2, -28
Sort -3, -55, -6, -450 in descending order.
-3, -6, -55, -450
Sort -0.5, -5, -2/5, 17/8, 0.1, 61 in descending order.
61, 17/8, 0.1, -2/5, -0.5, -5
Put -5, -113, -203, 5 in descending order.
5, -5, -113, -203
Sort 12, -31, 75, 4 in ascending order.
-31, 4, 12, 75
Sort 1, -161, -2, 70 in increasing order.
-161, -2, 1, 70
Put -109, -8, -1, 51, -9 in increasing order.
-109, -9, -8, -1, 51
Sort -1/6, -1/3, 2, 448, 0.3.
-1/3, -1/6, 0.3, 2, 448
Put 2/11, 6, -2/37, -7/8, -1, -0.5 in decreasing order.
6, 2/11, -2/37, -0.5, -7/8, -1
Sort -2, 0, -225, -8, 4 in decreasing order.
4, 0, -2, -8, -225
Put 495, 2, -5, 5, 0 in ascending order.
-5, 0, 2, 5, 495
Put 15, -4, -1, 5, -2172 in descending order.
15, 5, -1, -4, -2172
Sort 3, 9/7, 2/11, -0.13, -1 in decreasing order.
3, 9/7, 2/11, -0.13, -1
Sort 0.5, 2/13, 38, 34/9, -3.
-3, 2/13, 0.5, 34/9, 38
Put 50, 0, 95 in descending order.
95, 50, 0
Put -1, -6/5, 4/7, 184, 3/4 in decreasing order.
184, 3/4, 4/7, -1, -6/5
Sort 2, -4, 4, 0, 1.
-4, 0, 1, 2, 4
Sort 5, 3, -101, 9 in descending order.
9, 5, 3, -101
Sort -2/3, 8, 138, -3.6.
-3.6, -2/3, 8, 138
Sort -4123, 0.4, -0.1, 1, -3.
-4123, -3, -0.1, 0.4, 1
Sort -28, -20, -3, -60, -4, -5.
-60, -28, -20, -5, -4, -3
Sort -0.4405, -5/3, -3/2 in increasing order.
-5/3, -3/2
|
{
"pile_set_name": "DM Mathematics"
}
|
Find the second derivative of u(q) wrt q.
3800*q**3 - 12*q
Let j(y) be the second derivative of 34*y**7/3 + 391*y**4/12 - 682*y. Find the third derivative of j(b) wrt b.
28560*b**2
Let k(o) = -159*o**4 + 26*o - 260. Let s(v) = -40*v**4 + 6*v - 65. Let p(z) = -6*k(z) + 26*s(z). What is the derivative of p(h) wrt h?
-344*h**3
Find the first derivative of -2703*y**3 - 150 + 1521*y**3 + 1332*y**3 wrt y.
450*y**2
Suppose 4*u = 1 + 79. Find the third derivative of u*h**2 - 5*h**2 + 9*h**4 - 7*h**2 wrt h.
216*h
Suppose 4*c + 1 = 5*u, 21*c - 4 = 19*c - 2*u. Let a(z) be the first derivative of -5*z - c - 7/2*z**2. Differentiate a(l) wrt l.
-7
Let j(o) = o + 1. Let v be j(10). Find the first derivative of -v - 38*r**3 + 57*r**3 + 1 wrt r.
57*r**2
Let z(h) be the first derivative of 2*h**5/15 + 23*h**4/24 - 8*h**3 + 21. Let r(t) be the third derivative of z(t). Differentiate r(f) with respect to f.
16
Let o(t) be the first derivative of -5*t**9/504 + t**6/9 - 22*t**3/3 + 47. Let n(b) be the third derivative of o(b). What is the third derivative of n(m) wrt m?
-1800*m**2
Let g(p) = -3*p**3 + 7*p + 4 + 2*p**2 - 3*p - 6. Let q(k) = -k**2 + 1. Let u(y) = -3*g(y) - 6*q(y). What is the second derivative of u(w) wrt w?
54*w
Let p(q) be the first derivative of -q**6/24 + q**4/24 + 5*q**3 + 11. Let r(d) be the third derivative of p(d). Find the first derivative of r(a) wrt a.
-30*a
Let q(z) be the first derivative of 11 + 0*z**2 + 8/3*z**3 + 7*z. Find the first derivative of q(m) wrt m.
16*m
What is the third derivative of -96*c**4 + 125*c**4 - 1 + 1 + 36*c**2 wrt c?
696*c
Let x(n) = -n**2 + n - 7. Let q be x(0). Let h(j) = 4*j - 11. Let g(y) = 2*y - 6. Let w(o) = q*g(o) + 4*h(o). What is the first derivative of w(k) wrt k?
2
Let a(t) = -456*t**2 + 13*t - 1287. Let h(l) = -229*l**2 + 6*l - 643. Let r(d) = -6*a(d) + 13*h(d). Find the first derivative of r(m) wrt m.
-482*m
Let s(v) = v**2 + 27*v - 23. Let u(f) = f**2 + 27*f - 21. Let x(p) = 6*s(p) - 7*u(p). Differentiate x(y) with respect to y.
-2*y - 27
Let w(p) = 8*p**4 - 3*p**2 + 3*p - 121. Let i(g) = -18*g**4 + 7*g**2 - 7*g + 240. Let r(a) = 3*i(a) + 7*w(a). What is the first derivative of r(m) wrt m?
8*m**3
Let b = 16 + -2. What is the third derivative of 30*c**2 + 15*c**3 + 7*c**3 + 10*c**3 - b*c**2 wrt c?
192
Suppose 3*d + 26 = 5*k, -d + 2 = 5*k - 16. What is the derivative of u**4 - 4*u**4 + 6*u**k + 4 wrt u?
12*u**3
Let f(a) = 7*a - 7. Let m(t) = 7*t - 8. Let u be -5*3*(-1)/3. Let i(g) = u*f(g) - 6*m(g). Find the first derivative of i(o) wrt o.
-7
Let v = -34 + 37. What is the second derivative of r**3 + r**v - r**3 + 6*r**3 - 8*r wrt r?
42*r
Let f(i) be the third derivative of 0 + 0*i - 1/8*i**4 - 14*i**2 + 11/6*i**3. Differentiate f(s) wrt s.
-3
Find the third derivative of -95*u**5 - 513*u**4 + 513*u**4 - 26*u**2 wrt u.
-5700*u**2
Let v(s) be the second derivative of 0*s**2 + 0 + 10/3*s**3 + 1/2*s**4 + 30*s. What is the second derivative of v(p) wrt p?
12
Find the second derivative of -i**2 - 73*i + 13*i**5 + 50*i**5 + 6*i**5 wrt i.
1380*i**3 - 2
Differentiate -6*x**2 + 55 + 2*x**2 - 16*x + 22 - 15 with respect to x.
-8*x - 16
Let u(o) be the third derivative of 5*o**9/168 + o**5/15 - 25*o**3/6 + 158*o**2. Find the third derivative of u(b) wrt b.
1800*b**3
Let n(o) = 529*o**3 + 209*o**2 - 26*o. Let g(q) = 264*q**3 + 104*q**2 - 12*q. Let u(w) = 13*g(w) - 6*n(w). What is the third derivative of u(i) wrt i?
1548
Let v(c) = -104*c**2 + 16*c + 20. Let w(j) = -35*j**2 + 5*j + 7. Let h(b) = 3*v(b) - 10*w(b). What is the second derivative of h(k) wrt k?
76
Let y(o) be the third derivative of -o**8/168 - o**6/8 + 13*o**4/8 - o**2 - 16. Find the second derivative of y(f) wrt f.
-40*f**3 - 90*f
Let n(h) be the first derivative of 112*h**5/5 + 49*h + 40. Differentiate n(j) with respect to j.
448*j**3
Let g be (6/3)/(8/12). What is the second derivative of -20*v**2 - 18 + 15 - g*v + v - 18 wrt v?
-40
Let m be (-3)/(2 + (-76)/32). Suppose -3*p + 10 = -m. Find the first derivative of -2*c + 6*c - 2*c - 8 + p*c wrt c.
8
Let s(i) be the first derivative of -i**8/56 + 13*i**5/20 - 12*i**2 - 13. Let k(n) be the second derivative of s(n). What is the third derivative of k(c) wrt c?
-360*c**2
Let r be (-1)/2 - (-39)/6. Let d = r + -2. Differentiate -3*u**d - 12 - 10*u**2 + 10*u**2 + 6 with respect to u.
-12*u**3
Let g = 16 + -9. Suppose 13 = 5*t - 3*s, g*s - 3*s = -4. What is the first derivative of -u**4 + 1 + t*u**4 + 3*u**4 wrt u?
16*u**3
Let d be (-18)/15 - 1/(-5). Let o be (d/(-1))/(1/3). What is the derivative of 8*s**4 - 4*s**4 - o - 1 wrt s?
16*s**3
Let h(k) be the second derivative of -127*k**7/42 + 94*k**3/3 + 230*k. Find the second derivative of h(m) wrt m.
-2540*m**3
Let r(m) be the second derivative of 251*m**4/4 - 385*m**3/6 - m**2/2 - 31*m + 2. Find the second derivative of r(k) wrt k.
1506
Let l(t) be the first derivative of 29*t**4/4 + 185*t - 137. Find the first derivative of l(z) wrt z.
87*z**2
Find the second derivative of 252*n + 25*n**2 - 118*n - 101*n + 9*n**2 wrt n.
68
Let l(w) be the third derivative of -w**4/12 + w**3/6 - w**2. Let p be l(-1). Differentiate 3*t + p*t + 3*t**2 - 6*t + 4 with respect to t.
6*t
Let d(x) = 186*x + 342. Let v(f) = 186*f + 334. Let b(i) = -2*d(i) + 3*v(i). Differentiate b(y) wrt y.
186
Let b(c) be the second derivative of -73*c**5/20 + 20*c**4/3 - c**2/2 - 261*c. What is the third derivative of b(i) wrt i?
-438
Suppose -10 = -2*y - 0*y. Find the second derivative of -20*m**y + 1503*m**4 - 3*m - 1503*m**4 wrt m.
-400*m**3
Let b = -44 - -40. Let y(n) = -32*n - 17. Let h(k) = -32*k - 15. Let x(j) = b*h(j) + 5*y(j). Differentiate x(m) wrt m.
-32
Let h(u) = -7 - 15*u**4 - 2 + 5*u**3 + u**2 + 14. Let y(g) = -8*g**4 + 3*g**3 + 3. Let o(w) = -3*h(w) + 5*y(w). What is the third derivative of o(m) wrt m?
120*m
Let y(v) = -453*v + 393. Let c(t) = 303*t - 262. Let r(o) = 7*c(o) + 5*y(o). What is the derivative of r(q) wrt q?
-144
Suppose -5*b = -g + 5, -g = 6*b - b - 35. What is the third derivative of 19*s**2 + 109 + g*s**5 - 109 wrt s?
1200*s**2
Let c be 2*(8/(-4))/(-2). Suppose 2*a + c*x = -2*a + 34, 4*a - x = 19. What is the second derivative of 4*r**4 + a*r - 2*r + r wrt r?
48*r**2
Let p(z) = 2*z**3 - 5*z**2 + 2*z - 11. Let f be p(5). What is the second derivative of 128 - 13*t - 10*t**5 + f - 252 wrt t?
-200*t**3
What is the second derivative of -773 - 6*p - 34*p**2 + 773 - 12*p + 127*p**2 wrt p?
186
Let y(z) be the second derivative of 5*z**9/504 - z**5/10 + z**2/2 + z. Let o(w) be the first derivative of y(w). Find the third derivative of o(x) wrt x.
600*x**3
Let f(m) be the third derivative of 0 - 23*m**2 + 0*m**5 + 0*m**4 - 2/3*m**3 + 0*m + 7/30*m**6. Find the first derivative of f(p) wrt p.
84*p**2
Let b(x) be the first derivative of -x**3 + 5/24*x**4 - 8 + 3/2*x**2 + 0*x. Let p(i) be the second derivative of b(i). Differentiate p(u) with respect to u.
5
Let s(i) be the second derivative of 351*i**5/10 + 424*i**2 + 692*i. What is the first derivative of s(j) wrt j?
2106*j**2
Let z be 7/3 + (-3927)/1980. Let l(r) be the second derivative of 0 - r**2 + 0*r**3 + z*r**5 + 7*r + 0*r**4. What is the derivative of l(b) wrt b?
21*b**2
Let x(l) = -l**2 - 15*l - 11. Let j be x(-14). Suppose i - 6 = -3*a - i, -j*a + 15 = -i. What is the second derivative of -4*v + 36 - 36 - v**4 + 6*v**a wrt v?
60*v**2
Let x(y) be the second derivative of 0 - 15*y + 15/2*y**2 + 19/6*y**3. Differentiate x(l) wrt l.
19
Find the first derivative of -77 - 3*v**4 + 11*v**3 - 25*v**3 - 4*v**3 wrt v.
-12*v**3 - 54*v**2
Let k(r) be the third derivative of -33*r**2 + 0*r**5 + 17/105*r**7 + 0*r**6 + 2/3*r**4 + 0 + 0*r + 0*r**3. What is the second derivative of k(v) wrt v?
408*v**2
Let m(y) be the third derivative of y**7/210 - 2*y**5 - y**4/4 + 16*y**3/3 - 18*y**2 - 8. Find the second derivative of m(z) wrt z.
12*z**2 - 240
What is the second derivative of -25*l + 2*l - 26*l + 9*l + l**2 wrt l?
2
Let a(t) be the third derivative of 0*t**3 + 0*t**6 + 0*t**7 + 0 + 0*t**4 - 9*t**2 - 1/30*t**5 + 1/42*t**8 + 0*t. Find the third derivative of a(h) wrt h.
480*h**2
Suppose -4*x - 2*p + 18 = 0, -3*x + p + 1 = -5. Let s(q) = -q**2 - 7*q + 3. Let l be s(-7). Find the second derivative of -l*w**4 - w**x - 2*w + w**3
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of 485/2 - t/(-2)?
4
Let s(u) = -1607*u - 24 - 1607*u + 3052*u. What is the thousands digit of s(-8)?
1
Let h be (3 - (-9 + -144))/(2/6). Suppose f - h = -3*w - 2*f, 4*w + 2*f = 622. What is the hundreds digit of w?
1
Suppose -1282*b + 3047720 = -1178*b. What is the units digit of b?
5
Suppose 2*j - 5*c = 22243, -5*c + 4358 = -j + 15482. What is the units digit of j?
9
Let f(c) = 11*c - 1. Let r be f(1). Suppose -r*i - 274 = -3244. What is the units digit of i?
7
Let g be (-10)/35*-1 - (-306)/7. Suppose -5*r = 3*v - 121 + 16, -g = -3*r + 2*v. What is the tens digit of 89 + 0 - -3*12/r?
9
Suppose -45*r - 913*r + 20546850 = 182644. What is the tens digit of r?
5
Suppose 0 = -3*r - 82 + 1081. Suppose -9 + 4 = -j. Suppose j*n - r - 72 = 0. What is the tens digit of n?
8
Suppose 406*c + 2*b = 413*c - 135274, -2*c + b = -38648. What is the hundreds digit of c?
3
Let c = -414 - -181. Let b = c - -395. What is the tens digit of 2 + b + -2 + -5?
5
Suppose 61*n + 71*n - 1196712 = 0. What is the units digit of n?
6
Let u(q) = q**3 + 3*q**2 - 8*q + 1. Let n be u(-5). Let p be (78/n + 4)/((-3)/27). Suppose -13*t = -19*t + p. What is the units digit of t?
7
Let g(q) = 3*q + 19*q**2 - 7*q + 72*q**2 + q. Suppose 0 = -3*z - 7 - 5, 5*p + 7 = -3*z. What is the tens digit of g(p)?
8
Let s = 58624 - 29848. What is the thousands digit of s?
8
Suppose 0 = 17*c + 4*c - 32382. Let l = c + -1042. What is the tens digit of l?
0
Suppose 3*x = -6*x + 1494. What is the tens digit of (-13 - -10)/(x/(-82) + 2)?
2
Suppose 0 = 179*k - 180*k + 2664. What is the units digit of k?
4
Let v = -15253 - -21481. Suppose -16*h + v = -4*h. What is the units digit of h?
9
Suppose -5857 = -28*c - 43909. Let u = 2017 + c. What is the tens digit of u?
5
What is the thousands digit of 8 - ((-59592)/3)/4?
4
Let s = 99 - 20. Let q = 235 + s. Suppose -l - l + q = 0. What is the hundreds digit of l?
1
Let p(b) = -4*b - 20*b**2 + 5 - 22*b + 7 + b. Let s be p(-20). What is the tens digit of s/(-91) + 2/(-7)?
8
Let l(v) = v**3 - 4*v**2 + 12*v + 20. Let d be l(-7). Let j = d + 919. What is the tens digit of j?
1
Suppose -10*d + 591 = -9. Suppose 3*x = 8*x + d. What is the tens digit of (18 + x)/((-6)/(-16))?
1
Suppose 2*f = -2*n - 4, 7*f + 3 = 2*n + 2*f. Let x be -6 + 1/n + 4. Let a(j) = 7*j**2 + 2*j + 3. What is the units digit of a(x)?
0
Let c(u) = u**2 + 8*u + 15. Let a be c(-7). Suppose -4*i - 1 = 15, 4*b + a = -i. What is the tens digit of 204 + 0/2*b/2?
0
Suppose 57 = -7*q + 323. Let f = 2 + q. Let d = 109 - f. What is the tens digit of d?
6
Let r = -47 - -76. Let c = 176 + r. What is the units digit of c?
5
Suppose -18*v = -17364 - 53700. What is the thousands digit of v?
3
What is the units digit of 48/(-288) + (-3854398)/(-60) + 8/(-10)?
9
Let k = 17 - 13. Suppose k*r = t - 0*t - 99, -2*t + 73 = -3*r. What is the tens digit of -45*(-4 + (-80)/r)?
3
Suppose -5*d = -4*p - 31581, -25302 = 22*d - 26*d - 3*p. What is the tens digit of d?
2
Let c(j) = 2*j**2 - 2*j + 71. Let r be c(-7). Let i = r - -872. What is the hundreds digit of i?
0
Let p(j) = -215*j**3 - j. Let o be p(-1). Let x = o + 48. Let c = -166 + x. What is the tens digit of c?
9
What is the tens digit of 1154 - (9 + -10) - -1?
5
Suppose -3*v - v + 4*t + 72 = 0, 9 = 3*t. Suppose 2*i = -103 - v. Let l = i + 184. What is the tens digit of l?
2
Let l be 94/4 - (-2)/8*6. Let w be (20/(-25))/((-2)/l). Suppose 0 = 13*k - w*k - 354. What is the hundreds digit of k?
1
Let c(k) be the third derivative of -19*k**4/24 - 133*k**3/3 - k**2 - 6. What is the tens digit of c(-40)?
9
Suppose -5712 = -8*o - 8*o. Suppose -4*n = 3*u - 1663, -5*u = -2*n + 494 + o. What is the tens digit of n?
1
Let q(p) = 2*p**2 - 11*p + 8. Let z(c) = -2*c**2 + 11*c - 8. Let o = 5 + -1. Let a(x) = o*z(x) + 5*q(x). What is the units digit of a(7)?
9
Let m(w) = 30*w**2 - 217*w - 9478. What is the units digit of m(-40)?
2
Let h(d) = -490 + 0*d**2 + 3*d**2 + 6*d**2 + 501 - 11*d. Suppose 14*m - 12*m = 10. What is the units digit of h(m)?
1
Let o(g) = -2*g + 280. Let d be o(0). Suppose 64 + d = 2*s. Suppose v - 3*a = 63, 0 = -5*v - a + s + 111. What is the tens digit of v?
5
Let a be (-2)/(7 + (-76)/12). What is the units digit of (a + 61 - (-8)/4) + 5?
5
Let s be -2 + 36/9 - (-418)/1. Let u = s + -320. What is the units digit of u?
0
Let i(m) = 1707*m**3 + 2*m**2 - m - 2. Let z be -1*(9 + -10 - 0/(-2)). What is the hundreds digit of i(z)?
7
Let f(y) = 6*y**2 - 33*y + 11. Suppose -2*p + 5*j - 7 = 0, 3*j = p + 4*j - 14. What is the tens digit of f(p)?
0
Suppose 2*x = -2*s + 20, 0*s - 2*s + x = -5. Suppose 0 = -o - 5, 2*u = -s*o - 22 + 5. Suppose -l - u*l + 15 = 0. What is the units digit of l?
3
Suppose 4*h + 81 = 89. What is the units digit of (9/h)/((-120)/(-7760))?
1
Suppose 3*s + 10*t = 7*t + 1104, -5*s + 4*t = -1822. Let z = s - 31. What is the units digit of (z/(-15) + 5)/((-2)/6)?
2
What is the tens digit of (620/2)/(54/1485)?
2
Suppose 0 = -w + 3*r - 30, -32 = w - 5*r + 4*r. What is the thousands digit of (-6)/w - 60160/(-55)?
1
Let h(t) = -34*t - 2. Let k = -6 + -10. Let z = k + 13. What is the hundreds digit of h(z)?
1
Suppose 51*t = 93*t - 49*t + 102291. What is the ten thousands digit of t?
1
Let y(g) = 65*g - 71. Let r = 189 - 181. What is the units digit of y(r)?
9
Let h(x) = -x**3 + 10*x**2 + 9*x + 4. Suppose -12*t - 33 = -15*t. Let k be h(t). Let p = k + 44. What is the tens digit of p?
2
Suppose -2*y + 0*y + 4 = 0, -2*y = -n + 9755. What is the tens digit of n?
5
Suppose -5*c + 6 = -11*c. What is the units digit of (-4686)/(-10) + 4*c/(-10)?
9
What is the hundreds digit of (43656/2)/((-44)/(-990)*15)?
7
Let v(m) = -3*m - 17. Let n be v(-7). Suppose -3*i + i = -n*l + 12, -3*l = 2*i - 2. Suppose l*f - 119 = 43. What is the tens digit of f?
8
Let x(m) = -m**3 - 7*m**2 - 8*m + 6. Let u be x(-5). What is the hundreds digit of -5 + (-860 - 4)/u?
2
Suppose 111751 = 34*r - 1081513. What is the units digit of r?
6
Let n be 10/4*(-17)/(680/(-74416)). Let d = n + -3005. What is the thousands digit of d?
1
Let i(m) = 5*m**2 - 128*m + 4891. What is the tens digit of i(138)?
4
Suppose 30*a - 9*a = -5019. Let s = a + 269. What is the tens digit of s?
3
Let h = -12171 - -14744. What is the thousands digit of h?
2
Suppose 5*r - 18206 = -3*b + 24821, 0 = 4*r + 16. What is the thousands digit of b?
4
Let r(h) = 33*h - 19. Let j be 15/(0/(-2) - -3). Suppose -3*c = 4*z + 1, 4*c = 3*z + j - 23. What is the units digit of r(z)?
7
Let r = -960 + 2386. Suppose 1574 = 2*o + r. What is the units digit of o?
4
Suppose 264845 = 965*r - 942*r. What is the tens digit of r?
1
What is the thousands digit of (2 + (-21 - -7))/((-3)/2896)?
1
Let y(l) = -l**2 + 64*l - 28. Let c be y(15). What is the tens digit of c/(-42)*-58 - 8/6?
7
Let v(g) = 91*g**2 + 8*g + 72. What is the units digit of v(-11)?
5
What is the tens digit of -1*(-23 + 18 + -28187)?
9
What is the units digit of ((-244)/(-10))/((-112)/(-20440))?
3
Let k = -16790 + 47844. What is the ten thousands digit of k?
3
Suppose -59*j = -54*j + 10, x = -4*j + 6676. What is the hundreds digit of x?
6
Let t(i) = -i**2 - 11*i - 10. Let v be (27/(-6))/(6/(-8)). Suppose v*l + 3 = -39. What is the tens digit of t(l)?
1
Let q = 11974 - -56161. What is the units digit of q?
5
Let g(k) = -22*k - 37. Let o be g(-2). Suppose o*t - 4455 = -1627. What is the units digit of t?
4
Let j(z) = -z**3 + 10*z**2 - 3*z + 18. Let f(x) = x**3 - 8*x**2 - 31*x - 16. Let t be f(11). What is the hundreds digit of j(t)?
1
Suppose 7*s = 5*z + 3*s - 540, -4*z - 2*s = -432. What is the tens digit of z/(-135) + (-4379)/(-5)?
7
Let b(l) = -l**2 - 3*l + 88. Let v be b(-11). What is the tens digit of (0 - (-259 - v)) + (-8)/4?
5
Suppose 2*i + 3*m = 55101, -102*m + 104*m + 110274 = 4*i. What is the hundreds digit of i?
5
Suppose j - 943 = -18*g + 22*g, -1850 = -2*j - 4*g. What is the tens digit of j?
3
Let q(h) = -3*h**3 - 161*h**2 - 187*h + 41. What is the units digit of q(-53)?
4
Suppose 4*s = 5*y + 2087, s - 2*s = -3. Let t = -296 - y. Suppose 4*x - 2*o - 394 = 0, -2*x - 4*o = -t - 103. What is the tens digit of x?
0
Suppose -23 = -5*j + 2. Suppose 2*s - j*h = 679, 2*h = 4 - 10. What is the tens digit of s?
3
Let j be 762*((-4)/(-6))/1. Let w = -397 + j. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt m.
-266*h**2
Find the second derivative of 4*m**4*z**2 - 43*m**4 - m**2*z + 2*m*z**2 + 325*m*z wrt m.
48*m**2*z**2 - 516*m**2 - 2*z
What is the third derivative of 6*n*p*u**3 + 14*n*p*u**2 - n - 119*p*u**3 + 3*p - 5*u**2 wrt u?
36*n*p - 714*p
Find the second derivative of -3*g**2*r**3 - 23*g**2*r + 6*g*o*r - 228*o*r**3 wrt r.
-18*g**2*r - 1368*o*r
Find the third derivative of -2*h**5 - 49*h**3 + 109*h**2.
-120*h**2 - 294
Differentiate -2*t**4*v + 85*t**2*v**2 + 33*v**2 + 5 with respect to t.
-8*t**3*v + 170*t*v**2
What is the derivative of -2846*l**3 + 276 wrt l?
-8538*l**2
What is the derivative of 218*n**2 + 237 wrt n?
436*n
Find the first derivative of 540*o - 627 wrt o.
540
Find the third derivative of 53*p**5*x**2 + 16*p**3*x**3 + 13*p**2*x**2 - 26*p*x**3 wrt p.
3180*p**2*x**2 + 96*x**3
Find the first derivative of 716*c**4*j - c*j**2 - 10855*j**2 - 2*j - 2 wrt c.
2864*c**3*j - j**2
What is the second derivative of 250*d**2*t**2 + 12*d*t**2 + 18*d wrt d?
500*t**2
Find the third derivative of -12*l**3*o**3 + 3*l**3 - 6*l**2*o**2 + 14*l*o**3 - 16*l*o**2 + 4*o**4 + o**2 wrt o.
-72*l**3 + 84*l + 96*o
What is the derivative of -20*d**4 - 25*d**2 - 3358?
-80*d**3 - 50*d
Find the first derivative of -247*g**2*r**3 + g**2*r + 243*g**2 wrt r.
-741*g**2*r**2 + g**2
Differentiate -2*t**3 - 24*t**2 - 32*t + 10413 with respect to t.
-6*t**2 - 48*t - 32
What is the derivative of -13006*i**3 - 7666?
-39018*i**2
Find the third derivative of -80*m**4 + 338*m**2 wrt m.
-1920*m
What is the third derivative of -480*n**3 + 45*n**2 - 1 wrt n?
-2880
What is the third derivative of -3*j**5*q - 156*j**3*q + 51*j**2*q + 3*q wrt j?
-180*j**2*q - 936*q
What is the third derivative of -56*g**4 - 2*g**3 - 27*g**2 + 7?
-1344*g - 12
What is the third derivative of -43*y**5 + 2*y**3 - 17*y**2 + 3 wrt y?
-2580*y**2 + 12
Find the third derivative of -782*y**4 - 847*y**2 wrt y.
-18768*y
Find the second derivative of -548*a**5 - 4269*a wrt a.
-10960*a**3
Find the second derivative of 15*h**2*w - 26*h**2 + 3*h*w + h + 3*w wrt h.
30*w - 52
Find the second derivative of -2*b**3*p*w**2 + 9*b**3*p*w - b**3*w**2 - 14*b**2*w - 2*b*p*w + 96*b*w**3 wrt w.
-4*b**3*p - 2*b**3 + 576*b*w
Find the first derivative of -1302*k**3 - 693 wrt k.
-3906*k**2
Find the third derivative of -f**4 - 252*f**3 - 319*f**2 wrt f.
-24*f - 1512
Find the second derivative of -11*a**2*k**5 - 2*a**2*k**3 - 3*a**2*k + 2*a**2 + 6*a*k + 2*k**2 wrt k.
-220*a**2*k**3 - 12*a**2*k + 4
Differentiate 2*f**3*l**2 + 11*f**2*l**2 - 2*l**2 - 74*l wrt f.
6*f**2*l**2 + 22*f*l**2
What is the derivative of -2*j**4*o**3 - 10*j**4 + 4*o**3 - 14*o wrt j?
-8*j**3*o**3 - 40*j**3
What is the second derivative of -b**3 + 1505*b**2 - 742*b?
-6*b + 3010
Find the third derivative of 2873*i**4*w + 2*i**3*w**3 + 2*i**2 + i*w**3 - 2*w**3 + 1 wrt i.
68952*i*w + 12*w**3
Find the first derivative of 24*k*r**2*v*w - 4*k*r**2*v - 2*k*r + 3*r**2*v*w + 24*r**2 wrt w.
24*k*r**2*v + 3*r**2*v
Find the first derivative of 2*d**3*z - 466*d*z**3 + 51*z**3 - 24 wrt d.
6*d**2*z - 466*z**3
Find the second derivative of -80*c**2*d**3*w**2 - c**2*d**3*w + 10*c*d + 3*d**3*w**2 - 2*w**2 wrt c.
-160*d**3*w**2 - 2*d**3*w
Find the first derivative of 2*f**2*n - f**2*u*z - 26*f**2*z + 4*f*n*u*z - 4*f*u*z + 3*n*z wrt n.
2*f**2 + 4*f*u*z + 3*z
What is the second derivative of 644*f**2*z**2 - 141*f - 2*z**2 wrt f?
1288*z**2
Find the second derivative of -32*j**3*x**2 - 25*j**2*x**2 + j*x + 809*x**2 wrt j.
-192*j*x**2 - 50*x**2
Find the second derivative of 906*b**3*n**2 - 5*b**3*n - b**3 + 14*b*n wrt n.
1812*b**3
Differentiate -76*n*q*z**2 - 2*n*q*z - 4*n*q - 3*n*z - 34*n - 2*q - 5 wrt z.
-152*n*q*z - 2*n*q - 3*n
What is the derivative of 445*x - 4920?
445
What is the third derivative of -13*f**4 + 4*f**3*i*q*t + f**2*i*q*t - 19*f*i*t - i*q - q*t + t wrt f?
-312*f + 24*i*q*t
Find the second derivative of -1218*a**2 + 374*a.
-2436
Find the second derivative of 2097*a**2 + a + 42.
4194
What is the third derivative of 41*u**6 + 3*u**4 + 64*u**3 + 7*u**2 - 91*u - 2?
4920*u**3 + 72*u + 384
What is the second derivative of 8*i**2 - 130*i wrt i?
16
Differentiate -332*c*n**3 + 27*c + 4*n**4 - 10 wrt n.
-996*c*n**2 + 16*n**3
Differentiate h*j**4 - 996*h*j**2 + 184*h wrt j.
4*h*j**3 - 1992*h*j
What is the third derivative of -3*a*b**2*v**3 + a*b**2*v + a*b**2 + 2*a*b*v**3 - 2*a*b*v**2 + 91*b**2*v**3 - 4*b**2*v**2 wrt v?
-18*a*b**2 + 12*a*b + 546*b**2
What is the second derivative of 7*h**3*i**2 - 26*h**3*i + 13*h**2*i + 19*i**2 wrt i?
14*h**3 + 38
Differentiate a*i**2*v*w**2 - 32*a*i**2*v*w + 2*a*i*w - 2*a*w**2 - i**2*w**2 + 7*i**2*w with respect to v.
a*i**2*w**2 - 32*a*i**2*w
What is the third derivative of 271*t**4 + 3*t**3 - 2888*t**2 wrt t?
6504*t + 18
What is the second derivative of -25*b**3*r**4 - 188*b**3*r - 141*b**2*r**3 - 2*b**2*r - 3*b*r + 3*b wrt r?
-300*b**3*r**2 - 846*b**2*r
Find the second derivative of -114*i**3 - 49*i**2 - 8628*i + 2 wrt i.
-684*i - 98
What is the derivative of -d*w + 2*d*x + 711*d - 129*w*x**3 - w*x wrt x?
2*d - 387*w*x**2 - w
What is the first derivative of -2*k**4 + 16*k**3 - 32*k**2 + 632?
-8*k**3 + 48*k**2 - 64*k
What is the second derivative of -x**3 - 128*x**2 + 105*x?
-6*x - 256
Find the third derivative of d**3*k**2*o**2 + d**3*k*r + 86*d**3*o**2 + d**2*k**2*o**2*r + d*o*r + 178*k**2*o**2 - 2*k*o**2*r wrt d.
6*k**2*o**2 + 6*k*r + 516*o**2
What is the second derivative of -240*g*m**2*w**3 + 5*g*m**2*w - 2*g*m + g*w - m**2*w - 2*m*w**3 wrt w?
-1440*g*m**2*w - 12*m*w
What is the third derivative of -9*k*y**4 - 183*k*y**2 - 16*k*y - 7*y**4 - 108*y**3 wrt y?
-216*k*y - 168*y - 648
What is the second derivative of 2*c*v**4 + 32*c*v - c + 11*v**4 - 3*v**3 + 2 wrt v?
24*c*v**2 + 132*v**2 - 18*v
Find the first derivative of -1080*f**4 - 666.
-4320*f**3
What is the derivative of d**3*w - 226*d**3 + d - 162*w wrt w?
d**3 - 162
Find the third derivative of 58*p**5 + 92*p**3 + 23*p**2 + p + 241.
3480*p**2 + 552
Find the third derivative of -v**4 - 56*v**3 - 663*v**2 - 1.
-24*v - 336
What is the derivative of 6*m**2 + 27*m - 24342 wrt m?
12*m + 27
Find the third derivative of -23148*i**3 + 26720*i**2.
-138888
Differentiate 216*n**4 + 418.
864*n**3
Differentiate -14093*n**2 + 13730 wrt n.
-28186*n
What is the derivative of 1848*r**4*t - 409*t wrt r?
7392*r**3*t
What is the first derivative of -l**3*p - 1626*l**3 - 2*p**2 - 2*p wrt p?
-l**3 - 4*p - 2
Find the second derivative of 138*k**2 - 4*k + 31.
276
What is the second derivative of -958*g**3*k**3 - 2*g**3 + g**2*k**3 + 3*g*k**3 - 59*g wrt g?
-5748*g*k**3 - 12*g + 2*k**3
What is the third derivative of -3438*w**3 - 13069*w**2?
-20628
What is the derivative of 59*a*d*u + a*r + a - 3*d**2*r*u + 4*d**2 - 5*r wrt u?
59*a*d - 3*d**2*r
Find the second derivative of -1850*v**5 - 858*v wrt v.
-37000*v**3
What is the third derivative of -6*q**6*v - 315*q**5*v + 38*q**2*v + 43*v wrt q?
-720*q**3*v - 18900*q**2*v
Find the first derivative of 80*i**2*j**3 + i**2*j + 206*j**3 wrt i.
160*i*j**3 + 2*i*j
What is the third derivative of 592*w**3 - 368*w**2 wrt w?
3552
What is the derivative of a**3*b - 4*a**3 - a*b*x + 85*a*x - 32*b wrt b?
a**3 - a*x - 32
What is the derivative of 2*f**3*t**3 + 22*f**3*t - 40*t**3 - 2*t**2 wrt f?
6*f**2*t**3 + 66*f**2*t
Find the second derivative of 9*c*w**5 + 11*c*w**3 - 3128*c*w wrt w.
180*c*w**3 + 66*c*w
What is the second derivative of 2*j**4 + 14*j**3 + 299*j?
24*j**2 + 84*j
What is the third derivative of 8224*g*y**3 + 27*g*y - 22*g + y**2 wrt y?
49344*g
Find the third derivative of -136*v*z**3 - 4*v*z**2 - 2*v*z - 2*z**2 wrt z.
-816*v
Find the third derivative of 3386*x**4 + 2*x**3 - x**2 wrt x.
81264*x + 12
What is the first derivative of 75*c**3*d*h - 332*c**3*d + 4*c**2*d**3 + 5*c*d**3*h - c*d**3 + c*d**2 - c*d*h wrt h?
75*c**3*d + 5*c*d**3 - c*d
What is the derivative of c**3*n - 296*c**3 + 138*c**2*n**2 - 2*c*n wrt n?
c**3 + 276*c**2*n - 2*c
What is the second derivative of 446*d**2*z**2 + 2*d**2*z + 60*z + 2 wrt z?
892*d**2
Find the second derivative of -717*l**4*t + 2*l**3*t + 5*l*t - 3*l + 33*t wrt l.
-8604*l**2*t + 12*l*t
Find the third derivative of -560*j**5 - 61*j**2.
-33600*j**2
Find the second derivative of -20*h**3*v + 85*h - 26*v + 1 wrt h.
-12
|
{
"pile_set_name": "DM Mathematics"
}
|
0:53 PM?
9:12 PM
What is 296 minutes before 6:36 PM?
1:40 PM
How many minutes are there between 8:43 AM and 1:45 PM?
302
What is 62 minutes before 4:47 PM?
3:45 PM
What is 470 minutes after 4:27 AM?
12:17 PM
How many minutes are there between 10:00 AM and 7:41 PM?
581
What is 374 minutes before 7:44 PM?
1:30 PM
How many minutes are there between 3:56 PM and 11:50 PM?
474
How many minutes are there between 9:22 AM and 3:17 PM?
355
What is 501 minutes after 5:38 AM?
1:59 PM
How many minutes are there between 9:04 AM and 5:26 PM?
502
What is 535 minutes before 7:13 PM?
10:18 AM
What is 585 minutes before 1:39 AM?
3:54 PM
What is 584 minutes before 4:54 PM?
7:10 AM
What is 609 minutes before 3:10 PM?
5:01 AM
What is 474 minutes after 3:32 AM?
11:26 AM
What is 209 minutes before 8:30 AM?
5:01 AM
What is 661 minutes after 12:36 AM?
11:37 AM
What is 549 minutes before 2:32 AM?
5:23 PM
What is 669 minutes before 11:45 PM?
12:36 PM
How many minutes are there between 1:05 PM and 9:53 PM?
528
How many minutes are there between 4:15 AM and 2:02 PM?
587
How many minutes are there between 4:33 AM and 1:19 PM?
526
What is 517 minutes after 1:33 AM?
10:10 AM
What is 589 minutes after 10:12 PM?
8:01 AM
How many minutes are there between 1:50 PM and 9:28 PM?
458
What is 101 minutes after 10:32 AM?
12:13 PM
What is 296 minutes after 10:31 PM?
3:27 AM
What is 488 minutes before 7:44 AM?
11:36 PM
What is 611 minutes after 7:00 AM?
5:11 PM
How many minutes are there between 1:33 PM and 3:54 PM?
141
What is 283 minutes after 10:41 PM?
3:24 AM
What is 96 minutes after 2:44 PM?
4:20 PM
What is 56 minutes before 1:42 PM?
12:46 PM
What is 690 minutes after 11:21 PM?
10:51 AM
How many minutes are there between 7:36 PM and 11:13 PM?
217
What is 665 minutes before 12:16 PM?
1:11 AM
What is 611 minutes before 3:28 PM?
5:17 AM
How many minutes are there between 8:57 PM and 11:25 PM?
148
How many minutes are there between 7:08 AM and 5:05 PM?
597
What is 313 minutes before 6:53 AM?
1:40 AM
How many minutes are there between 5:50 PM and 2:02 AM?
492
What is 283 minutes after 5:59 AM?
10:42 AM
How many minutes are there between 7:56 AM and 12:42 PM?
286
What is 20 minutes before 5:00 PM?
4:40 PM
How many minutes are there between 11:50 PM and 11:49 AM?
719
How many minutes are there between 11:39 AM and 3:42 PM?
243
What is 627 minutes before 11:17 PM?
12:50 PM
How many minutes are there between 5:15 AM and 8:02 AM?
167
What is 699 minutes after 9:45 PM?
9:24 AM
How many minutes are there between 11:56 PM and 8:48 AM?
532
How many minutes are there between 3:58 AM and 11:10 AM?
432
How many minutes are there between 8:19 AM and 6:44 PM?
625
How many minutes are there between 11:00 AM and 10:54 PM?
714
What is 573 minutes after 5:34 AM?
3:07 PM
What is 344 minutes after 3:19 AM?
9:03 AM
How many minutes are there between 12:39 PM and 12:09 AM?
690
What is 568 minutes before 9:55 PM?
12:27 PM
How many minutes are there between 5:45 PM and 12:54 AM?
429
How many minutes are there between 2:05 AM and 8:04 AM?
359
What is 89 minutes after 4:08 PM?
5:37 PM
What is 167 minutes after 6:27 AM?
9:14 AM
How many minutes are there between 11:58 AM and 11:30 PM?
692
How many minutes are there between 3:37 PM and 2:29 AM?
652
How many minutes are there between 11:47 PM and 11:18 AM?
691
What is 103 minutes after 12:38 PM?
2:21 PM
How many minutes are there between 3:56 PM and 7:23 PM?
207
What is 719 minutes before 8:03 AM?
8:04 PM
How many minutes are there between 2:05 AM and 10:55 AM?
530
What is 423 minutes after 4:44 PM?
11:47 PM
How many minutes are there between 5:51 PM and 7:57 PM?
126
How many minutes are there between 1:56 PM and 7:11 PM?
315
How many minutes are there between 4:22 PM and 1:54 AM?
572
How many minutes are there between 8:29 PM and 10:32 PM?
123
How many minutes are there between 3:52 PM and 8:50 PM?
298
How many minutes are there between 12:45 AM and 12:03 PM?
678
What is 54 minutes after 4:33 PM?
5:27 PM
What is 101 minutes before 8:26 PM?
6:45 PM
How many minutes are there between 9:21 AM and 9:00 PM?
699
What is 184 minutes before 11:50 AM?
8:46 AM
How many minutes are there between 2:56 PM and 8:37 PM?
341
How many minutes are there between 9:32 AM and 8:02 PM?
630
What is 705 minutes before 6:39 PM?
6:54 AM
What is 145 minutes after 9:07 AM?
11:32 AM
What is 142 minutes after 12:15 AM?
2:37 AM
What is 207 minutes after 12:53 AM?
4:20 AM
How many minutes are there between 8:26 PM and 3:07 AM?
401
How many minutes are there between 7:48 AM and 11:17 AM?
209
How many minutes are there between 10:51 PM and 6:25 AM?
454
What is 679 minutes before 10:21 AM?
11:02 PM
How many minutes are there between 12:49 PM and 8:13 PM?
444
How many minutes are there between 11:21 AM and 7:21 PM?
480
What is 432 minutes after 2:51 AM?
10:03 AM
How many minutes are there between 8:58 PM and 11:19 PM?
141
How many minutes are there between 5:19 AM and 3:50 PM?
631
What is 324 minutes before 7:50 PM?
2:26 PM
What is 502 minutes before 1:32 AM?
5:10 PM
How many minutes are there between 4:06 PM and 12:19 AM?
493
How many minutes are there between 7:26 AM and 6:18 PM?
652
What is 508 minutes after 6:37 PM?
3:05 AM
How many minutes are there between 1:11 PM and 3:57 PM?
166
What is 238 minutes after 12:39 AM?
4:37 AM
What is 158 minutes before 12:34 PM?
9:56 AM
What is 473 minutes before 10:10 PM?
2:17 PM
How many minutes are there between 11:56 PM and 10:48 AM?
652
What is 429 minutes after 5:27 AM?
12:36 PM
What is 616 minutes after 6:45 PM?
5:01 AM
What is 709 minutes after 10:57 PM?
10:46 AM
What is 625 minutes after 8:03 PM?
6:28 AM
What is 96 minutes before 10:37 PM?
9:01 PM
What is 595 minutes after 4:53 AM?
2:48 PM
How many minutes are there between 9:28 PM and 3:41 AM?
373
What is 250 minutes before 6:53 PM?
2:43 PM
What is 697 minutes after 8:40 AM?
8:17 PM
How many minutes are there between 7:58 AM and 7:20 PM?
682
What is 160 minutes before 8:36 PM?
5:56 PM
What is 254 minutes before 5:51 AM?
1:37 AM
How many minutes are there between 3:46 PM and 10:42 PM?
416
How many minutes are there between 2:50 AM and 9:18 AM?
388
How many minutes are there between 7:15 AM and 11:21 AM?
246
What is 142 minutes before 2:02 AM?
11:40 PM
How many minutes are there between 8:17 AM and 9:45 AM?
88
What is 581 minutes after 4:20 PM?
2:01 AM
How many minutes are there between 8:40 PM and 2:12 AM?
332
What is 120 minutes after 12:11 AM?
2:11 AM
How many minutes are there between 6:44 AM and 8:39 AM?
115
What is 708 minutes before 12:57 PM?
1:09 AM
What is 197 minutes after 1:47 AM?
5:04 AM
What is 625 minutes before 9:25 PM?
11:00 AM
How many minutes are there between 10:29 AM and 7:59 PM?
570
How many minutes are there between 7:59 AM and 12:12 PM?
253
What is 111 minutes before 5:12 AM?
3:21 AM
What is 372 minutes before 3:12 PM?
9:00 AM
How many minutes are there between 10:22 AM and 11:06 AM?
44
How many minutes are there between 5:12 AM and 7:20 AM?
128
What is 254 minutes before 7:10 PM?
2:56 PM
How many minutes are there between 4:45 AM and 5:12 AM?
27
How many minutes are there between 10:32 AM and 11:26 AM?
54
What is 470 minutes after 9:46 PM?
5:36 AM
What is 110 minutes after 5:05 AM?
6:55 AM
How many minutes are there between 11:38 AM and 7:38 PM?
480
How many minutes are there between 11:53 PM and 8:41 AM?
528
What is 165 minutes after 4:55 AM?
7:40 AM
How many minutes are there between 1:56 AM and 12:07 PM?
611
How many minutes are there between 8:44 PM and 10:21 PM?
97
How many minutes are there between 8:23 PM and 5:26 AM?
543
How many minutes are there between 5:56 PM and 7:13 PM?
77
What is 132 minutes before 11:07 PM?
8:55 PM
What is 204 minutes before 6:44 PM?
3:20 PM
What is 667 minutes after 12:34 AM?
11:41 AM
What is 160 minutes before 1:05 PM?
10:25 AM
How many minutes are there between 4:47 PM and 4:15 AM?
688
What is 670 minutes before 4:58 AM?
5:48 PM
How many minutes are there between 7:16 PM and 1:01 AM?
345
What is 490 minutes after 4:41 PM?
12:51 AM
How many minutes are there between 7:39 PM and 9:08 PM?
89
What is 260 minutes after 6:56 PM?
11:16 PM
How many minutes are there between 2:27 PM and 4:24 PM?
117
What is 418 minutes after 5:14 PM?
12:12 AM
How ma
|
{
"pile_set_name": "DM Mathematics"
}
|
ive q(a(p)).
18*p**2
Let m(p) be the second derivative of p**3/3 - 2*p. Let j = -1 + 4. Let a(x) = j + 2*x**2 - 1 - 2. Determine a(m(w)).
8*w**2
Suppose -b = 4 - 6. Let w(r) = 2*r + 1. Let y be w(1). Let s(z) = -y*z**2 - 3*z**2 + 3*z**b. Let q(m) = -2*m. Determine s(q(f)).
-12*f**2
Let k(f) = f. Let m(r) = 643*r. Give k(m(q)).
643*q
Let l be (2 - 3)*-3*1. Let o(y) be the second derivative of -1/6*y**4 + 0*y**l - 2*y + 0*y**2 + 0. Let s(b) = -2*b. Determine s(o(v)).
4*v**2
Let g(r) = -r**2 - 2. Let i(v) = -2*v**2 - 3. Let p(m) = 3*g(m) - 2*i(m). Let x(a) be the first derivative of -2*a**3/3 + 2. Give x(p(q)).
-2*q**4
Let r(q) be the first derivative of 0*q - 2/3*q**3 + 0*q**2 + 1. Let n(t) = t**2. Give n(r(w)).
4*w**4
Let m(y) = y**2. Let f(s) = 4*s**2 - s**2 - 2*s**2. Give m(f(b)).
b**4
Let o(h) = 3*h**2 + 0*h - h + h. Let u(z) = -3*z + z + z. Determine o(u(d)).
3*d**2
Let k(o) = -o. Let l(z) = z**2 + 6*z - 6. Let r(p) = p - 1. Let i(n) = l(n) - 6*r(n). Determine i(k(t)).
t**2
Let q(j) = -7*j. Let r(c) = 16*c - 2. Calculate q(r(l)).
-112*l + 14
Let w be (-3 - 0)*1 + 9. Let l(d) = 18 - 2*d**2 - 12 - w. Let i(a) = -3*a. Calculate i(l(t)).
6*t**2
Let a(p) = 3*p - 4. Let l(q) = 5*q**2. Determine a(l(k)).
15*k**2 - 4
Let a(h) = 5*h**2 + 7*h - 7. Let o(k) = 2*k**2 + 3*k - 3. Let b(u) = -3*a(u) + 7*o(u). Let x(d) = -d + d - 4*d**2. Calculate b(x(l)).
-16*l**4
Let i(a) = 20*a. Let v(m) = 18*m. Give v(i(t)).
360*t
Suppose -2*v - 13 + 3 = 0. Let b = v - -7. Let q(h) = 0*h + 0*h - b*h. Let m(g) = -g. Determine m(q(t)).
2*t
Let f(v) = -2*v. Let t(x) = 40*x**2. Give t(f(k)).
160*k**2
Let v(y) = 3*y**2 + 8. Let q(s) = -s**2 - 3. Suppose 3*r = -3*t - 2*t + 55, t + 4*r - 28 = 0. Let k(x) = t*q(x) + 3*v(x). Let n(h) = 5*h. Calculate k(n(z)).
25*z**2
Let i(y) = 2*y**2. Let n(l) = -108*l. Determine i(n(r)).
23328*r**2
Let d(k) be the second derivative of k**4/6 + 13*k. Let g(n) = 4*n. Give g(d(y)).
8*y**2
Let d(a) = a**2. Let t(g) = -25*g + 13*g + 12*g + 53*g**2. Determine d(t(v)).
2809*v**4
Let u(k) = 1 + 5 - 6 - 7*k. Let d(h) = 2*h**2. What is u(d(x))?
-14*x**2
Let h(i) = -i**2. Let a(c) = -4*c. Give h(a(l)).
-16*l**2
Let l(q) = 3*q**2. Let s(g) = 51*g**2 + 11*g + 11. Let t(c) = -17*c**2 - 4*c - 4. Let u(p) = 4*s(p) + 11*t(p). Calculate l(u(a)).
867*a**4
Let q(i) = -i. Let j(g) = 3*g - 46 + 46 - 4*g. Calculate q(j(d)).
d
Let n(q) = 14*q**2. Let z(p) be the third derivative of p**5/60 + 2*p**2. What is z(n(d))?
196*d**4
Let w(s) be the third derivative of s**5/30 + 19*s**2. Let v(u) = 48*u. Give v(w(p)).
96*p**2
Let t be -4 + (-3 - -3) + 2. Let h = 5 + t. Let o(y) = h + y - 3. Let g(n) = 5*n. Give g(o(m)).
5*m
Let c(o) = 4 + 3*o - 4. Let d(t) = t. Calculate d(c(u)).
3*u
Let q(h) = 15*h**2 + 0 + 1 - 33*h**2 + 16*h**2. Let i(x) = -3*x**2. Calculate i(q(o)).
-12*o**4 + 12*o**2 - 3
Let a(g) = -6*g**2. Let b(y) be the first derivative of 0*y - 1/2*y**2 + 2. What is a(b(t))?
-6*t**2
Let n be -3*(8/6)/(-1). Suppose -4*u = -28 + n. Let h(k) = u*k - 2*k - 2*k. Let r(m) = -5*m. What is r(h(f))?
-10*f
Let l(x) = -2047*x. Let n(i) = -6*i**2. Calculate l(n(p)).
12282*p**2
Let r(k) be the second derivative of -k**4/12 - 36*k. Let t(u) be the first derivative of 17*u**2/2 + 3. What is r(t(o))?
-289*o**2
Let q(n) = -2. Let i(d) = -d + 1. Let k(s) = 2*i(s) + q(s). Suppose 4 = 2*m + 5*j, 2 = m - 2*j - 0*j. Let o(r) = r**2 + 0*r**2 + r**m - r**2. Determine k(o(l)).
-2*l**2
Let a(r) be the first derivative of 2*r**3/3 - 2. Let j(o) = 4*o**2. Give a(j(k)).
32*k**4
Let d(q) = q + 1. Let t(v) = -4. Let h(z) = 12*d(z) + 3*t(z). Let r(m) = 3*m. Determine r(h(y)).
36*y
Let w(k) = 3*k + 4. Let o = 0 - 1. Let i(t) = -t - 1. Let z(v) = o*w(v) - 4*i(v). Let c(n) = -n. Calculate c(z(x)).
-x
Let p(a) = -2*a. Let d(l) = -7*l. Let z(h) = -3*d(h) + 8*p(h). Let u(m) = -14*m + 11. Let k(w) = 5*w - 4. Let r(i) = -11*k(i) - 4*u(i). Give r(z(f)).
5*f
Let u(m) = 31*m**2 - 2. Let x(z) = 18*z. Determine u(x(v)).
10044*v**2 - 2
Let g(a) = -12*a. Let i(q) be the first derivative of 2*q**3/3 + 4. Give g(i(w)).
-24*w**2
Let i(h) = 52*h. Let j(c) = -3*c + 5. Give i(j(y)).
-156*y + 260
Let j(x) = -13*x. Let s(f) = 4*f + 3*f - 9*f. What is j(s(l))?
26*l
Let m(w) = 4*w**2. Let f(y) be the third derivative of -y**5/20 - 15*y**2. Determine m(f(z)).
36*z**4
Let n(l) = 0*l + 3*l - l + 0*l. Let w(g) = -2*g**2. What is w(n(f))?
-8*f**2
Let z(g) = -5*g**2 + 4*g**2 + 3*g**2. Let w(x) be the first derivative of -3*x**2/2 - 25. What is z(w(r))?
18*r**2
Let s(u) = -310*u**2. Let r(i) = i. Determine r(s(g)).
-310*g**2
Let l(z) = -z. Let u be 6/(6/(-2)) + 5. Let k(o) = 2*o - 8*o + u*o - 6*o. Determine l(k(t)).
9*t
Suppose 2 + 1 = d. Let g(l) = 2 + 1 - d + 3*l. Let a(k) = 7*k. Calculate g(a(w)).
21*w
Let l(b) = -b**2 + 157. Let s(d) = 13*d. Give s(l(o)).
-13*o**2 + 2041
Let c(l) = -2*l. Let x(b) be the third derivative of -b**5/20 - 5*b**3/6 - 6*b**2. Let h(n) be the first derivative of x(n). What is h(c(s))?
12*s
Let d(k) = -k - 39. Let o(s) = -29*s. Give o(d(z)).
29*z + 1131
Let k(a) = -17*a**2 - 1 + 14*a**2 + 1. Let y(h) = 12*h**2. Determine k(y(p)).
-432*p**4
Let a = -127/3 + 43. Let m(z) be the second derivative of 0*z**2 + z + a*z**3 + 0. Let t(x) = -2*x**2. Give m(t(v)).
-8*v**2
Let k(m) = -2*m. Let f(n) = -18*n**2 + 14. Let d(o) = 0 + 0*o**2 + 0*o**2 - 6*o**2 + 5. Let x(q) = 14*d(q) - 5*f(q). Determine k(x(l)).
-12*l**2
Let f(k) = 3*k**2 + 2. Let i(q) = -q**2 + 1. Let y(j) = f(j) - 2*i(j). Let d(t) = -6*t**2. What is d(y(z))?
-150*z**4
Let d(l) = -13*l. Let b(c) be the first derivative of -c**3/3 - 14. What is b(d(w))?
-169*w**2
Let n(f) = -f. Let p(b) = 4*b. Let w(i) = 3*i + 4 - 6 + 2. Suppose -5*h = -3*v + 7*v - 12, 5*v + 10 = 0. Let m(z) = h*p(z) - 5*w(z). Calculate m(n(c)).
-c
Let p(m) = 91*m**2. Let n(f) = -52*f**2. Determine n(p(i)).
-430612*i**4
Let p(g) = -3*g. Let d(m) = 5*m. Let h(f) = 4*f. Suppose 3*o + 1 - 16 = 3*a, 0 = 2*o + 2*a + 2. Let z(x) = o*d(x) - 3*h(x). Give z(p(j)).
6*j
Let c(x) = 5*x. Let u(d) = 12*d**2 - 10*d**2 + 0*d**2. Determine u(c(v)).
50*v**2
Let g(y) = -y. Let b be 6*(2 - 3)/(-3). Let l(j) = 2 - 3 - 4*j**b - 4. Let m(u) = 2*u**2 + 3. Let z(c) = -3*l(c) - 5*m(c). Calculate z(g(q)).
2*q**2
Let b(s) = 40*s**2. Let p(u) = 6*u + 2. Give p(b(a)).
240*a**2 + 2
Let t(m) = -m**2. Let d(n) = -n + 218. What is d(t(r))?
r**2 + 218
Let a(i) = -2*i**2. Let d(m) = 7*m - 6. Let t(g) = 13*g - 11. Let s(o) = -11*d(o) + 6*t(o). Let u(p) = p**2 - 6*p. Let v(j) = -6*s(j) - u(j). Give a(v(q)).
-2*q**4
Let l(p) = -2*p - 850. Let m(y) = -y. What is m(l(q))?
2*q + 850
Let r = 5 - 3. Let h(q) = -5 - 6*q + 3 + r. Let g(y) = 2*y. Give g(h(t)).
-12*t
Let f(a) = 2*a. Let m(c) = -26*c - 6. Let s(r) = -27*r - 7. Let p(i) = 7*m(i) - 6*s(i). What is p(f(g))?
-40*g
Let k(u) be the third derivative of -u**5/15 + 2*u**2 + 4*u. Let i(a) = 3*a + a - 3*a. Determine i(k(p)).
-4*p**2
Let i(g) = g - g - 2*g**2 + 0*g**2. Let w(n) = 2*n**2. What is w(i(k))?
8*k**4
Let n(m) = -4*m**2. Let t(i) = i - 1. Let b(z) = 6*z - 5. Let h(u) = b(u) - 5*t(u). What is n(h(w))?
-4*w**2
Let j be (-5)/10*12/1. Let k(d) = 8*d. Let h(y) = 23*y. Let q(w) = j*h(w) + 17*k(w). Let p(i) be the first derivative of 2*i**3/3 + 1. Calculate p(q(t)).
8*t**2
Let g(x) = 7*x. Let y(h) = -3*h + 7. Let l(n) = -n + 3. Let a(t) = -7*l(t) + 3*y(t). What is a(g(q))?
-14*q
Let g(a) = a**2. Let s(j) = 6*j**2 - 5. Suppose 4 = x + 17. Let c = 18 + x. Let t(d) = -9*d**2 + 8. Let h(z) = c*t(z) + 8*s(z). Determine h(g(l)).
3*l**4
Let j(p) = -7*p. Let q(w) = 1328*w. Give j(q(f)).
-9296*f
Let d(j) = -155*j**2. Let q(y) = -3*y. Give d(q(z)).
-1395*z**2
Let y(u) = -u**2. Let r(l) = 15*l + 3*l - 9*l. Determine y(r(j)).
-81*j**2
Let k(y) be the third derivative of -y**5/12 + 13*y**2. Let p(h) = 4*h**2. Determine p(k(u)).
100*u**4
Let p(b) = b**2. Let m(h) = 131*h**2. Determine m(p(a)).
131*a**4
Let c(y) = -y**2. Let a = -11 - -13. Let n be 4/(-6)*(-45)/6. Let o(g) = -5*g - 4*g**2 + n*g + 3*g**a. Determine o(c(v)).
-v**4
Let f(w) = -627*w**2. Let g(m) = -m**2. Give g(f(q)).
-393129*q**4
Let y(k) = -2*k**2 - 5. Let c(a) = -2*a**2 - 6. Let j(n) = -5*c(n) + 6*y(n). Let o(u) = 6*u. Give j(o(w)).
-72*w**2
Let u(f) = -f**2. Let q(i) = 451*i. Determine u(q(z)).
-203401*z**2
Let o(s)
|
{
"pile_set_name": "DM Mathematics"
}
|
e -r - 4*r = n for r.
-3
Let y(g) = g**3 + 15*g**2 + 12*g - 28. Let r be y(-14). Solve r + 20 = 5*k for k.
4
Suppose -3*b + 179 = 5*r, -r = b - 4*r - 41. Suppose -69 = -4*v - b. Solve -v*o - 1 + 17 = 0 for o.
4
Suppose 0 = 6*v - 39 + 9. Suppose -5*k + j = -0*j - 12, j - 18 = -v*k. Solve -2 = 5*w + k for w.
-1
Suppose -6 + 26 = 4*p + 4*z, 5*p - 18 = 2*z. Solve -18*q - p - 14 = 0 for q.
-1
Suppose -21*p = -7*p - 224. Solve p*k - 13*k = 0 for k.
0
Let l = -2883 + 2883. Suppose -12 - 8 = -4*i. Solve l = i*t - 4 - 1 for t.
1
Let x(t) = t - 3. Let g be x(3). Let u be g - (-2)/7 - (-72)/42. Solve -u*o + 3 = o for o.
1
Let n(m) = -m**2 - 25*m - 41. Let p be 18/135 + (-3)/((-90)/(-664)). Let q be n(p). Solve w + q = -4*w for w.
-5
Suppose 0 = 7*g - 90 + 62. Solve -g*d = 2*d + d for d.
0
Let c(a) = -6*a**2 + 47*a - 32. Let b be c(7). Solve 9 = 6*d - b for d.
2
Let f(y) = -y + 11. Let k be (0 - -1)/(1/9). Let a be f(k). Solve -a*c + 0*c = 8 for c.
-4
Let z(c) = c + 13. Let n be z(-11). Suppose -n*s + 2*j = -3*j + 4, s + 4*j = 11. Suppose 5*m = s + 7. Solve 0 = -3*p + m*p for p.
0
Suppose -118*g + 110*g = -40. Solve 35 = g*p + 10 for p.
5
Suppose 3*j + 2*j = 10. Let x(i) = -i - 8. Let a = 31 + -42. Let b be x(a). Solve b*p = j - 5 for p.
-1
Suppose 6*g = 7*g + 3*z + 6, 0 = -5*z - 15. Solve g*t + 0 + 9 = 0 for t.
-3
Let r(y) be the third derivative of -y**4/24 - y**3/3 - y**2. Let t = -31 + 26. Let m be r(t). Solve m*o - o = 8 for o.
4
Suppose -r + 1 = -2*r. Let q(y) = 3*y**2 + 6*y - 1. Let j(s) = -s**2 - s. Let b(i) = r*q(i) - 6*j(i). Let w be b(-1). Solve 5*a + w + 1 = 0 for a.
-1
Let p = -122 - -127. Let o(n) = -n**3 + 5*n**2 - n + 3. Let r be o(4). Suppose 2*u + 5*m = -25, -p*m = 2*u - 8*m - r. Solve -2*w + 8 = -u*w for w.
4
Let k be (32/(-24))/((-1)/3). Suppose -v + k*g = -7, -3*v + 3*g - 7*g = -5. Let z(s) = s**2 - 4*s + 4. Let t be z(4). Solve -t*f - 2 = -v*f for f.
-2
Suppose 10*m - 5*m = 55. Suppose -6*l - 170 = -m*l + s, -3*l = s - 110. Let b be ((-12)/(-10))/(7/l). Solve 2*r + 4 = b*r for r.
1
Let c(y) = 2*y**3 - 15*y**2 + 5*y + 20. Let k be c(7). Solve -19 = -k*q + 11 for q.
5
Suppose -3*h + 16 = q - 2, 0 = 4*q + h - 17. Suppose 8 = -q*x + 5*x. Solve 5*a - x*a = 1 for a.
1
Let f(l) = l**2 - 4*l - 1. Let k be f(5). Suppose 26 - 2 = -k*b. Let w be (30/(-40))/(b/16). Solve 0 = -3*r + w*r + 5 for r.
5
Let a = 3 - -2. Let i(v) = -v - v**3 + a*v + 3 - v**2 - 2*v. Let t be i(-2). Solve -2*s + t = 11 for s.
-4
Let g = -2307 + 2310. Solve v + g = -1 for v.
-4
Let w be 308/38 + 10/(-95). Suppose 5*c = -w*c + 104. Solve 3*a = -a + c for a.
2
Let q = 101 + -66. Let p = q + -25. Let r be 38/(-114) + 12/9. Solve -r + p = 3*n for n.
3
Suppose -c = -4*c + 15. Solve 3*w = 2*w + c for w.
5
Let g = -36 + 34. Let t be (3/g + 1)*(45 - 53). Solve f = -t*f for f.
0
Let y(a) = a**2 - a. Let f(j) = 5*j**2 + 3*j. Let x(l) = -f(l) + 3*y(l). Let p = 59 + -62. Let z be x(p). Solve r = -z + 2 for r.
2
Let k = -46 - -47. Let j(f) = -1. Let u(i) = -4*i - 2. Let w(p) = 2*j(p) - u(p). Let x be w(k). Solve x = -n - 1 for n.
-5
Suppose -107 + 87 = -5*v. Suppose v = -l + 2*l. Solve -3*a - 1 = -l*a for a.
1
Let j = -91 + 97. Solve -3*b - j + 18 = 0 for b.
4
Suppose -133*l - 8 = -134*l. Let q = l + -6. Solve q*h + 15 = 5*h for h.
5
Let j = 0 - 0. Let v be 10 - (-6 + 65/5). Solve j*t = v*t for t.
0
Let c(p) = p**2 - 20*p - 21. Let y be c(21). Let j be 2/(y + (-10)/(-15)). Solve -j*v = -v for v.
0
Suppose -20 = -8*g + 4*g - q, 7*g + 4*q = 35. Solve g = -5*z + 10*z for z.
1
Let z be (1/2 - 1)*-4. Let s(b) be the second derivative of -b**5/20 + b**4/3 - b**3/2 - 32*b. Let t be s(z). Solve 4*u + t - 14 = 0 for u.
3
Suppose -4*p = -43 + 27. Solve 5*v = v - p for v.
-1
Let f(a) = 20*a - 80. Let n be f(4). Solve n = t + t - 6 for t.
3
Let j(y) be the second derivative of y**3/6 + 15*y**2/2 + y. Let i be j(-9). Suppose 4*z = -i + 30. Solve 2*c + 0*c = z for c.
3
Let r be (-256)/(-20)*(-65)/(-26). Solve 5*q - r + 7 = 0 for q.
5
Let j = 100 - 97. Solve j*l + l + 20 = 0 for l.
-5
Let p(f) = -3*f**2 - 2*f + 1. Let v(c) = 5*c**2 + 5*c - 2. Let o(q) = -7*p(q) - 3*v(q). Let y be o(-1). Solve -y = -2*l + 2 for l.
4
Suppose -m + 135 = -5*c + 137, -4*m - 8 = -5*c. Solve -25*s + 24*s - 2 = c for s.
-2
Suppose 24 = 6*p - 2*p. Suppose -j = p*j - 14. Solve u = -j*u for u.
0
Let a(c) = 7*c - 3. Let w be a(1). Let m = 42 + -40. Solve r = m*r + w for r.
-4
Let w(b) = b**2 + 14*b - 13. Let f be w(-15). Let r = 1 - -8. Solve -y = f*y + r for y.
-3
Let g be -3 + 10 - (-2 + 0). Let k be -1*6*(-3)/g. Let n(r) = r - 1. Let s be n(1). Solve s = k*x - x for x.
0
Suppose 4*x + 1 = 3*m - 39, -2*m - 5*x - 4 = 0. Solve m*y = 6*y - 10 for y.
-5
Suppose -4*n - 5*u - 11 = -27, 5*n - 5*u = 20. Solve 8*z - n = 6*z for z.
2
Let o = 63 - 117. Let d be (-12)/o + (-4)/18. Solve d*w = -4*w for w.
0
Let w = -3 + 7. Suppose 9*u - 110 = -u. Suppose 110 = u*v - 44. Solve v = w*d - 2 for d.
4
Suppose -15 = 4*y - 9*y. Let a be (-2)/y*(7 - 19). Let t(b) = b**3 - 7*b**2 - 9*b + 11. Let o be t(a). Solve -12 = -0*m - o*m for m.
4
Let l be (24 - -12) + (-2 - 0). Let s = l - 38. Let t be ((-24)/(-21))/(s/(-14)). Solve 0 = -2*g - t + 6 for g.
1
Let s(o) = 2 - 78*o**2 + 40*o**2 + 36*o**2 - 12*o. Let m be s(-6). Solve 0 = m*d - 1 - 3 for d.
2
Let w(q) = q**3 + 2*q**2 - 1. Let t be w(1). Suppose -47 = 2*c + 19. Let h = -30 - c. Solve 0 = -t*b - h*b for b.
0
Let h(a) = -10*a - 114. Let u be h(-12). Solve -u*r + 15 = -15 for r.
5
Let t(c) be the second derivative of c**4/6 - 2*c**2 + 8*c. Let p be t(-2). Suppose -p*a + 11 = -5. Solve 5 = a*v - 15 for v.
5
Let g = -45 - -53. Let i(a) = a**2 - 10*a + 16. Let z be i(g). Solve t = -z*t - 5 for t.
-5
Let s(d) = d + 11. Let m be s(-10). Let z be (m/((-10)/(-4)))/((-1)/(-20)). Solve 8 + z = 4*h for h.
4
Suppose 13 = 3*k - 5*k - 7*s, 2*s = -10. Solve 61 = k*t + 72 for t.
-1
Let f be (-1 - (3 - 3))/(6/(-30)). Suppose -5*n + 3*n = 5*i - 79, -5*n + 85 = f*i. Solve -2*q - 3*q = -i for q.
3
Let l(z) = 32*z + 176. Let x be l(-5). Solve 3*u - x + 10 = 0 for u.
2
Suppose -3*d = -7*d - 2*z + 22, 7 = 4*d - 3*z. Solve -4*m = -3*m - d for m.
4
Let z = -8 - -10. Suppose -6*t + 8 = -z*t. Solve -t = b - 2*b for b.
2
Let a(u) = -u**3 + 9*u**2 - 8*u. Let s be (-9)/4 + (-15)/20. Let x be (s - -1) + 30/3. Let z be a(x). Solve -4*y + 5*y - 1 = z for y.
1
Let p be (-8)/36 - 86/18. Let q(o) = -4*o + 1. Let u be q(p). Let m be 8/6*u/14. Solve -r - m = -3*r for r.
1
Suppose 90 = 5*a + 5*n, -5*a + 40*n - 44*n = -92. Solve 0 = -26*q + 30*q - a for q.
5
Suppose 40 = 113*i - 105*i. Solve 3 = i*z + 18 for z.
-3
Let k(q) = -q**2 - 16*q. Let w be k(-16). Let j be 8/8 + (w - -5). Solve -b = -j*b + 5 for b.
1
Suppose 0 = -0*r - 3*r. Suppose r = 2*t - 5 - 5. Solve -t*s = 14 - 34 for s.
4
Let t = -1 - -1. Let b be 3/(-9) - (-66)/18 - (-17)/(-51). Solve t*w = b*w for w.
0
Suppose -j + 4*a - 16 = 2*j, -4 = j - a. Let b be -6*(-2)/6*1. Solve j = -b*v + v - 5 for v.
-5
Let y = 60 - 44. Let z = y - 12. Solve n + 0*n = z for n.
4
Let r(f) = -30*f + 1. Let m be r(-1). Let g be (4/(-10))/(23/(-115)). Suppose -m = -5*n + 5*h - 6, 4 = 5*n + g*h. Solve n*q - 1 = -3 for q.
-1
Let p be (-85)/(-68) + 12/16. Solve 10 = 3*z + p*z for z.
2
Suppose q - 11 = -3*i, 6*i = i - 2*q + 19. Suppose -i*n + 15 = -0*n. Solve 0 = -n*f + f for f.
0
Let c(k) = -45*k. Let l be c(-2). Suppose 4*h - 14*h + l = 0. Solve -7*a - 2 = -h*a for a.
1
Suppose 6*p = 2*p + 48. Suppose -6*t + p = -2*t. Solve b = -0*b + t for b.
3
Suppose -3*f + 96 = 6. Let k = f - 27. Let c be -3 - (-2)/1 - -1. Solve c*l = k*l + 15 for l.
-5
Suppose 10 = 12*z - 10*z. Suppose z = -4*s + 13. Solve -4 - s = -2*q for q.
3
Let j = -84 + 88. Solve 0*y = -j*y + 4 for y.
1
Suppose m = -d, -3*d = 3*m + d. Suppose m = -4*j, 0*j + j = -5*y + 145. Suppose -6*p = 2*a - 2*p - 20, p = -2*a + y. Solve 0*q + a = 4*q for q.
4
Let o(h) = 5*h. Let i = -7 + 8. Let j be o(i). Suppose j*r - 29 = -2*d, 2*r - 8 = d - 0*r. Solve -d*q + 2 = 4 for q.
-1
Suppose 0 = 5*x - 4*z - 58, -z + 5*z = -8. Solve -x = 31*q - 36*q for q.
2
Let i(p) = -13*p**3 - p**2. Let h be i(-1). Solve -3 - h = -3*t for t.
5
Suppose -4*d = -3*t + 15, 0 = 2*t - 3*d + 7*d - 10. Solve f - 4 = -t for f.
-1
Let i be 124/8 - (-6)/(-4). Solve -10*z + i*z =
|
{
"pile_set_name": "DM Mathematics"
}
|
vert 18878 (base 11) to base 7.
136541
1162302 (base 7) to base 8
444301
What is -11200323113 (base 4) in base 12?
-59869b
18766247 (base 9) to base 8
44152511
Convert 14232404 (base 5) to base 6.
3110144
What is -332073 (base 8) in base 6?
-2221003
What is -170284 (base 12) in base 5?
-100104442
Convert 1100001010111001 (base 2) to base 6.
1022441
-243102424 (base 6) to base 11
-2680628
Convert -133a166 (base 11) to base 8.
-10643714
-27a4cc0 (base 13) to base 2
-101111110111110010000011
105705 (base 13) to base 10
383466
Convert 4965a54 (base 11) to base 8.
40732261
What is 10010010111011011111 (base 2) in base 12?
25033b
Convert -124313 (base 8) to base 6.
-532015
411834 (base 13) to base 11
946a97
1011122212000 (base 3) to base 14
123175
-110011000100110110010 (base 2) to base 12
-68866a
What is 4158840 (base 10) in base 6?
225045520
Convert -211000 (base 6) to base 3.
-212102000
Convert 2121112102 (base 3) to base 8.
144333
Convert -22314131 (base 6) to base 10.
-678727
Convert 253250 (base 10) to base 14.
68414
What is 1bcf5 (base 16) in base 6?
2235205
What is -59912c (base 13) in base 10?
-2133494
Convert -124ad (base 14) to base 5.
-2413331
1551421 (base 6) to base 10
92389
What is -69c174 (base 14) in base 3?
-20210012101101
181e10 (base 16) to base 13
434557
What is 7c6a2 (base 14) in base 4?
1022000312
-2200323030 (base 5) to base 3
-22211201011002
Convert -233030200030 (base 4) to base 10.
-12371980
1111110001011000111000 (base 2) to base 14
798a24
What is 5e3796 (base 15) in base 14?
858442
What is -3004321041 (base 5) in base 4?
-112220121212
1001010000101000010 (base 2) to base 5
34202201
Convert 1666572 (base 8) to base 16.
76d7a
-110222002220 (base 3) to base 7
-2112051
What is -1668fa (base 16) in base 3?
-2202121122001
Convert 11011011111011101111 (base 2) to base 10.
900847
26c88a (base 13) to base 4
3211323112
Convert 12024336 (base 7) to base 12.
434519
Convert 8ca8a (base 14) to base 15.
6b678
Convert 1230032 (base 4) to base 11.
5227
What is 2563760 (base 10) in base 11?
14a1211
-101033032201 (base 4) to base 2
-10001001111001110100001
-e1a0a2 (base 16) to base 7
-236453656
What is 1008618 (base 11) in base 15?
253439
224420 (base 10) to base 15
46765
a3868 (base 15) to base 7
4256000
What is -127411 (base 8) in base 11?
-30736
What is 1010001111011001101 (base 2) in base 14?
8a40d
Convert 1622110 (base 7) to base 16.
36b23
What is 24235 (base 11) in base 12?
18232
-774726 (base 8) to base 5
-31314231
Convert 90428a (base 13) to base 8.
14620535
Convert 1016903 (base 14) to base 3.
112021102021202
Convert -3312322402 (base 5) to base 16.
-6d1ff2
Convert -1000001100001001001101 (base 2) to base 8.
-10141115
Convert -1170215 (base 8) to base 4.
-1033002031
Convert -1212101010102 (base 3) to base 7.
-11266523
-159729 (base 13) to base 9
-1005003
What is -6484443 (base 9) in base 16?
-351c21
Convert -231313332 (base 5) to base 8.
-3762465
9a7b (base 16) to base 7
223204
75015 (base 11) to base 15
22523
822947 (base 14) to base 2
10000101110111110110011
What is -249b7d (base 14) in base 9?
-2324251
2410202 (base 5) to base 12
21863
Convert 15455415 (base 9) to base 4.
131123012012
-816ed (base 16) to base 12
-216979
2020757 (base 10) to base 2
111101101010110010101
What is -4036335 (base 7) in base 13?
-13a655
868b (base 16) to base 11
23972
-20011200212010 (base 3) to base 12
-1122970
What is 113020202 (base 4) in base 12?
46a02
What is 42331b (base 12) in base 14?
1d1c7d
480c96 (base 15) to base 11
1a43599
What is -20ce1 (base 16) in base 5?
-13244434
1225534 (base 7) to base 4
212211202
What is 88756 (base 11) in base 9?
215462
470163 (base 8) to base 15
32574
-32012010102 (base 4) to base 7
-43256130
What is 331213100 (base 4) in base 9?
424158
What is 1a985 (base 11) in base 3?
1110222000
What is -eb6d6 (base 15) in base 9?
-1358243
Convert 90ccd (base 15) to base 7.
3616534
10101202101111 (base 3) to base 2
110111000111011000000
What is -1004200 (base 10) in base 8?
-3651250
Convert 10011111001011100 (base 2) to base 12.
3b1b8
What is 320432410 (base 5) in base 8?
5076607
Convert -14245544 (base 6) to base 4.
-1313102020
What is -333123023 (base 4) in base 8?
-773313
What is 2001343 (base 5) in base 3?
1121011200
What is 1010011110100100 (base 2) in base 16?
a7a4
Convert 3524233 (base 6) to base 12.
89679
What is cfeef (base 16) in base 15?
11c54a
Convert a1a4b (base 12) to base 3.
101200212112
What is -12242142 (base 5) in base 14?
-3122a
-3723266 (base 8) to base 16
-fa6b6
What is -772511 (base 8) in base 4?
-333111021
What is -120313120 (base 4) in base 15?
-2029d
115534 (base 9) to base 13
2594b
Convert c655 (base 14) to base 7.
201435
Convert a119ed (base 15) to base 10.
7649998
-74477 (base 11) to base 10
-108379
30540 (base 11) to base 15
d317
-100011100010110111 (base 2) to base 15
-2d211
What is -225434130 (base 6) in base 10?
-4188294
20012124 (base 5) to base 8
462754
What is 11001100100001111 (base 2) in base 10?
104719
Convert -40a62 (base 15) to base 11.
-12a9a0
48652 (base 9) to base 6
410545
What is -fc64e6 (base 16) in base 9?
-34110760
Convert -40339 (base 12) to base 15.
-19ab6
Convert -402002 (base 6) to base 4.
-13230302
Convert -6c27a1 (base 16) to base 15.
-950258
Convert 716cc1 (base 13) to base 9.
4867433
-155040215 (base 7) to base 4
-213332231123
What is -130503215 (base 7) in base 10?
-8320604
-20056051 (base 7) to base 13
-462166
What is 1001111111000011110 (base 2) in base 10?
327198
What is c91d9 (base 15) in base 8?
2336540
-36be3 (base 15) to base 16
-2aadd
What is -182bc2 (base 14) in base 7?
-10151532
What is -90093 (base 10) in base 14?
-24b93
-1000001011110011111 (base 2) to base 16
-4179f
1304024321 (base 5) to base 15
42eec6
What is 18168 (base 10) in base 15?
55b3
Convert -652155 (base 8) to base 11.
-139a53
What is -200122012020 (base 3) in base 4?
-1121203230
-102812 (base 15) to base 4
-2323133012
What is -183965 (base 10) in base 4?
-230322131
-dfa9f (base 16) to base 15
-1316a2
Convert -121525 (base 11) to base 4.
-232330220
Convert -774c39 (base 13) to base 14.
-531dd0
-113043323 (base 5) to base 14
-d6dc0
Convert -41783 (base 11) to base 6.
-1145345
What is -714202 (base 10) in base 15?
-e1937
728467 (base 12) to base 15
257a1a
Convert 122011143 (base 5) to base 13.
173677
What is -52001604 (base 7) in base 15?
-5aee89
-552555305 (base 6) to base 14
-1469825
Convert -13650301 (base 7) to base 9.
-2374751
Convert -5098 (base 13) to base 12.
-651a
-1838 (base 12) to base 11
-2219
Convert -212700 (base 11) to base 10.
-340252
1641677 (base 9) to base 16
def70
281657 (base 11) to base 3
211102102021
What is -2322e6 (base 16) in base 7?
-25400252
What is 23286500 (base 9) in base 16?
acf7ca
Convert -1233132133 (base 4) to base 9.
-765311
-2022101010121 (base 3) to base 15
-193b8d
Convert -39312 (base 12) to base 11.
-53837
Convert -10302034 (base 8) to base 14.
-412696
Convert -151101035 (base 6) to base 14.
-5b818b
-29e7b (base 15) to base 8
-407353
-331040004 (base 6) to base 3
-102011022010011
What is -101111010000111110 (base 2) in base 9?
-324508
What is -122041200 (base 5) in base 16?
-8dcc0
-10112100020 (base 3) to base 8
-207600
Convert 2334134 (base 6) to base 16.
1da6a
What is -934c80 (base 14) in base 6?
-254301040
2387239 (base 10) to base 12
971607
Convert 370054 (base 10) to base 5.
43320204
Convert 227761 (base 8) to base 11.
53506
Convert -391c (base 16) to base 15.
-44ea
What is -1992100 (base 10) in base 9?
-3665574
3918a0 (base 16) to base 14
6d5916
1004314 (base 5) to base 14
5c9b
What is -1220202000 (base 3) in base 5?
-2201334
What is 20155241 (base 6) in base 7?
4614163
What is 111010000010000111011110 (base 2) in base 11?
8650850
Convert 2b3d8 (base 14) to base 5.
11422134
What is 1001102000021 (base 3) in base 10?
559150
Convert 120212022202022 (base 3) to base 8.
40122160
302021032320 (base 4) to base 3
220201211120110
Convert 2312302 (base 6) to base 7.
1002263
What is 23210303022 (base 4) in base 15?
3ee0c9
What is 1141301 (base 7) in base 14?
3a971
Convert 339b7 (base 13) to base 15.
1cc80
What is 12405144 (base 6) in base 10?
405496
-23961 (base 15) to base 4
-123231103
110011000111 (base 3) to base 14
63205
32211200 (base 4) to base 6
114033
|
{
"pile_set_name": "DM Mathematics"
}
|
he common denominator of ((-2)/10)/(-3 - 121/(-33)) and q.
30
Let v be 1*(-1)/(-2)*34. Let c = -8 + v. Suppose -14 - 13 = -3*b. What is the least common multiple of b and c?
9
Let m = 5837/1420 + -3/284. What is the common denominator of m and 13/4?
20
Let f = 39019/9 - 4331. Let v(n) = n**3 - 2*n**2 - 7*n + 6. Let o be v(4). What is the common denominator of ((-7)/3)/(o/(-54)) and f?
45
Calculate the smallest common multiple of (7/21)/(1/30) and 11.
110
Let q = 6 - -2. What is the lowest common multiple of 6 and q?
24
Let o = -15740 + 692517/44. What is the common denominator of -61/44 and o?
44
Suppose 1 = s - 1. Find the common denominator of -149/6 and 5/s*13/35.
42
Let l = -1068 - 3084. Let o = l + 24799/6. What is the common denominator of o and -35/6?
6
Suppose -2*v = v - 72. Calculate the least common multiple of -1 + (2 + 2)*(-70)/(-40) and v.
24
Let w(g) = 31*g**2 - 3*g - 1. Let o be w(-2). Let t = 119/44 - 997/88. Find the common denominator of t and o/(-216) - 2/(-9).
8
Suppose 0 = -q + 4*s, -s - 7 = -3*q + 4*s. Calculate the lowest common multiple of 18 and q.
36
Let a = 54287/60 - 4546/5. Find the common denominator of -97/8 and a.
24
Let g = 103 - 89. Calculate the smallest common multiple of g and 14.
14
Let i = -5 - 19. Let o = i + 10. What is the common denominator of (-852)/16*3/(-9) and o?
4
Let k be ((-161)/(-18))/((-4)/12). Let r = 133/6 + k. What is the common denominator of r and 61/10?
30
Find the common denominator of 3/15 + 457/40 and -65/18.
72
Suppose 5*u - 2*p + 1 = 0, u + 3*p + 8 = -u. What is the lowest common multiple of ((-2)/(-4))/(2/16) and (2/(-6))/(u/6)?
4
What is the smallest common multiple of (-1 + 4)*(-1)/(-3) and 1?
1
Let q be ((-3)/(-2))/((-3)/(-20)). What is the common denominator of (-107)/6*3/(-10) and q/16*6/10?
40
Let l = -7 + 17. Suppose 0 = -p - 4*j + 22, -4*p + 29 = -5*j - 17. Calculate the lowest common multiple of p and l.
70
Let i be 1/(1/2*2). Find the common denominator of -13*(-1)/10 - i and 73/9.
90
Suppose 10 = 5*y + 5*y. What is the least common multiple of 25 and y?
25
Let z = 35 + -29. Calculate the least common multiple of 11 and z.
66
Let f be 4/3 - (-8)/12. Let v be 30*((-3)/f + 2). What is the common denominator of v/16*3/(-9) and -39/16?
16
Let n = 82 - 75. Calculate the smallest common multiple of 6 and n.
42
Find the common denominator of -151/6 and (-12)/(-3) + (-77)/9.
18
Let j(k) = k + 10. Let l(b) = b - 1. Let g(r) = -j(r) - 4*l(r). Let o be g(-6). Suppose q + o = 5*q. Calculate the lowest common multiple of q and 16.
48
Let c = 2402753/80 - 30033. Calculate the common denominator of c and -19/12.
240
Suppose -4*x + 70 = -22. Let a = x + -5. What is the lowest common multiple of 12 and a?
36
Calculate the common denominator of 148/27*6/(-4) and ((-202)/8)/(3/2).
18
Let j = 5 + -8. What is the lowest common multiple of (-3 + -5)/((-2)/5) and (-242)/(-12) - j/(-18)?
20
Let c(m) = m**3 + m**2 - 1. Let t be c(1). Calculate the common denominator of (-1)/t + 285/48 and 117/14.
112
Let j(z) = z**3 - 5*z**2 - 5*z - 4. What is the least common multiple of 4 and j(6)?
4
Let c = 3 + 9. Calculate the least common multiple of 56 and c.
168
Let d be ((-374)/(-4))/(9/(-12)). Let m = 589/6 + d. Calculate the common denominator of -109/6 and m.
6
Calculate the common denominator of 145/12 and -10 + 8 + 134/(-48).
24
Suppose 0 = 5*f - 5*o - 420, -5*o = -3*f - 0*o + 256. Calculate the smallest common multiple of 10 and f.
410
Suppose -o + 3*i + 1 = -0*o, -4*i = -4. Suppose 32 = -2*w + 6*w. Suppose 3*u - w = u. What is the lowest common multiple of o and u?
4
Find the common denominator of 79/16 and 10/45 + (-355)/(-144).
16
Suppose 3 - 1 = -d. What is the lowest common multiple of -1 + d/(-4)*4 and 5?
5
Let b be (-5931)/66*(-8)/102. Let d = b - 92/17. Calculate the common denominator of d and 28/5.
55
Calculate the common denominator of ((-169)/(-18) + -5)/((-1)/(-3)) and -13/16.
48
What is the common denominator of 4/6*(-1599)/988 and -17/22?
418
Let u = 27689/6 + -4597. Suppose 0 = 6*p - p - 5. Find the common denominator of (-3)/(-2) + p + -1 and u.
6
Let y = 115 + -103. What is the lowest common multiple of y and 4?
12
Let z be 85185/(-18)*(-10)/(-12). Let m = -3924 - z. Find the common denominator of 34/3 and m.
12
Calculate the least common multiple of ((-28)/(-10))/((-12)/(-60)) and 20.
140
Let w(n) = n**3 + 20*n**2 + 17*n - 30. Calculate the least common multiple of 20 and w(-19).
40
Let j(w) = w**3 + 7*w**2 + 6*w - 4. Let k be j(-6). Let y(b) = -b**3 - 2*b**2 + 6*b + 2. Calculate the smallest common multiple of 11 and y(k).
110
Let z = 1159/2 + -2249/4. What is the common denominator of 81/2 and z?
4
Let i(r) = -13. Let d(y) = 7. Let z(k) = -11*d(k) - 6*i(k). Let v(o) = 5*o + 3. Let s(f) = v(f) - 2*z(f). Calculate the smallest common multiple of s(1) and 11.
66
Suppose 0 = d - 5 - 11. Suppose -s - 2*f + 2 = 0, 7*s - 3*s - 43 = -f. Calculate the smallest common multiple of s and d.
48
Suppose -3*m = -j + 33, 4*j + 3*m = 134 - 32. Calculate the lowest common multiple of 9 and j.
27
Let l be -2 + (2 - 2) - -2. Suppose l = -2*c + c + 3. Calculate the common denominator of -64/9 and (0 + -7)*(-5)/c.
9
Let u = -9 - -5. Let y = 10 + u. What is the common denominator of 63/4 and (-2)/(-8) - (-21)/y?
4
Suppose g + 2*p = -4, -16 - 22 = -3*g + 4*p. What is the smallest common multiple of ((-12)/8)/(g/(-4)) and 8?
8
Suppose -19*d = -14*d - 40. Calculate the smallest common multiple of d and 22.
88
Suppose -17*b = -14*b - 9. Suppose 80 = 8*t - b*t. Calculate the smallest common multiple of 16 and t.
16
Find the common denominator of (-262)/20 + (3 - 2) and 56/11.
110
Let a = -3 + 5. Let n(b) = b + 7. Suppose m = 5*m. What is the least common multiple of a and n(m)?
14
Let r = 70 + -38. What is the smallest common multiple of r and 4?
32
Calculate the common denominator of 59/20 and 1/(-4)*142/14 + 0.
140
Let g = -23/411 - 6317/548. Calculate the common denominator of -63/16 and g.
48
Let l(t) = 22*t**2. Let w = 85 + -41. Let p = w + -24. What is the smallest common multiple of l(1) and p?
220
Let y(s) = s + 1. Let m be y(-1). Suppose 5*f - 3*b - 47 = m, b - 16 = -f - 5. Calculate the lowest common multiple of 3 and f.
30
Suppose 3*d + 5*w = 29, -2*d = 3*d - 5*w + 5. Calculate the common denominator of -32/11 and 50/24 + d/12.
33
Let b = -6797/10 + 676. Calculate the common denominator of b and 51/10.
10
Let r be -9 - (3 + -5 - 1). Calculate the least common multiple of 2 and ((-6)/1)/(r/3).
6
Let g(o) = -o**3 + 4*o**2 + 5*o. Let m be g(5). Suppose m = -r + 3*r - 60. Find the common denominator of 37/2 and r.
2
Let q = 14 + -12. What is the smallest common multiple of q and 22?
22
What is the common denominator of 1 + 3 - 334/42 and -76/9?
63
Let b(x) = 148*x - 7. Let h be b(-5). Let o = -3721/5 - h. Calculate the common denominator of o and 780/160 - 4/2.
40
Let w be (-8)/(-5) - (-2)/5. Suppose -x = u - 2, -2*u + 14 = 4*x - w. Calculate the smallest common multiple of 10 and x.
30
Let h(p) = -p**2 - 13*p - 1. Let n(m) = m**2 + 12*m + 1. Let t(d) = 3*h(d) + 4*n(d). Calculate the least common multiple of 1 and t(-10).
11
What is the common denominator of (1/(-44))/((-3)/18) and -65/8?
88
Let p(g) = g**2. Let u be p(0). Suppose u = -7*s + 6*s + 3. What is the smallest common multiple of s and 7?
21
Let j(w) = -7*w**2 + 4*w - 8. Let o be j(-6). What is the common denominator of -2*o/(-16) + -4 and -89/20?
20
Let t(d) = d**2 - d - 3. Let m = -2 + 2. Let w be t(m). Let z(y) = -4*y - 1. What is the smallest common multiple of z(w) and 10?
110
Let c be (-7 - -4) + (-2466)/4. Let r = 588 + c. Find the common denominator of r and -44/13.
26
Suppose -4*t = -3*t. Let g = 161/40 - 45/8. Calculate the common denominator of (-35)/(-6) + t/1 and g.
30
What is the least common multiple of (-7)/(-2)*(-40)/(-14) and 10?
10
Let w be 0 + (41456/20726 - 2). Let l = w + -466349/72541. Let m = -3496 - -28045/8. What is the common denominator of l and m?
56
Let a be (3 - 132/(-16))*-8. What is the common denominator of -133/6 and (-56)/(-6)*a/80?
6
Suppose 18 = 2*v + 4*f, -13 = -0*v - v - 3*f. Suppose 22 = 2*p - 4*j - 2, -4*j - 16 = 0. Calculate the least common multiple of v and p.
4
Let z(s) = -s**3 - 6*s**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
4, g: 3}?
1/20
Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {v: 3, w: 1, m: 7, z: 3}.
3/52
Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, h: 4, v: 13}.
13/380
What is prob of picking 1 q, 1 w, and 1 i when three letters picked without replacement from wqqqkqkiikqwq?
12/143
Two letters picked without replacement from {p: 2, q: 1, w: 2, a: 1, r: 5, x: 2}. What is prob of picking 1 x and 1 r?
5/39
What is prob of picking 2 i when two letters picked without replacement from rii?
1/3
Four letters picked without replacement from zssssszs. Give prob of picking 2 s and 2 z.
3/14
What is prob of picking 2 h when two letters picked without replacement from {h: 3, q: 12}?
1/35
Calculate prob of picking 1 s and 2 c when three letters picked without replacement from csccccccsscc.
27/55
Four letters picked without replacement from eiiiiiiieii. Give prob of picking 3 i and 1 e.
28/55
Four letters picked without replacement from tvvvuuvvutu. What is prob of picking 1 t and 3 v?
2/33
Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rxqrsxrrqrrxxrqxrxxq.
392/4845
Two letters picked without replacement from {k: 13, v: 3}. Give prob of picking 2 k.
13/20
Calculate prob of picking 1 v, 1 t, and 1 g when three letters picked without replacement from tsgggtvvtstzovg.
48/455
Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, c: 1}.
1/4
Two letters picked without replacement from {k: 2, f: 7, t: 5, y: 4, j: 1, i: 1}. Give prob of picking 1 j and 1 k.
1/95
Calculate prob of picking 1 v, 1 u, and 2 l when four letters picked without replacement from vuauvvuulluaavu.
8/455
Calculate prob of picking 2 o when two letters picked without replacement from zsszzoooo.
1/6
Two letters picked without replacement from vuzzut. Give prob of picking 1 u and 1 t.
2/15
What is prob of picking 2 o when two letters picked without replacement from {e: 3, o: 11}?
55/91
Four letters picked without replacement from {p: 4, u: 6, w: 4, k: 4}. What is prob of picking 2 u, 1 k, and 1 p?
4/51
Four letters picked without replacement from yfgyffy. What is prob of picking 1 f, 2 y, and 1 g?
9/35
Calculate prob of picking 2 o when two letters picked without replacement from {h: 2, z: 2, l: 1, a: 1, o: 2, f: 1}.
1/36
Calculate prob of picking 2 o when two letters picked without replacement from ooouoooou.
7/12
What is prob of picking 1 u and 2 n when three letters picked without replacement from xunnuxnnnnun?
63/220
Three letters picked without replacement from {b: 1, s: 6, e: 3, k: 1, a: 5, j: 3}. What is prob of picking 2 a and 1 e?
10/323
What is prob of picking 2 p when two letters picked without replacement from {i: 1, b: 13, p: 2, c: 3}?
1/171
Calculate prob of picking 2 n when two letters picked without replacement from hhhhhhhnhnihihnhhhi.
1/57
What is prob of picking 1 e and 1 c when two letters picked without replacement from {c: 2, l: 4, x: 1, a: 4, e: 3}?
6/91
Four letters picked without replacement from {r: 3, d: 2, z: 1, h: 4, a: 1}. What is prob of picking 1 z, 2 d, and 1 a?
1/330
What is prob of picking 1 k and 1 p when two letters picked without replacement from ppppppppppppppkppppk?
18/95
What is prob of picking 1 h and 2 s when three letters picked without replacement from phspsphpp?
1/42
What is prob of picking 1 q and 2 k when three letters picked without replacement from {k: 4, q: 1, g: 1, l: 4}?
1/20
Two letters picked without replacement from {m: 9, n: 2, c: 4, v: 4}. Give prob of picking 1 v and 1 m.
4/19
Calculate prob of picking 2 l and 2 w when four letters picked without replacement from wwddgtdtwhlllllthdl.
15/1292
What is prob of picking 1 u, 1 d, 1 q, and 1 g when four letters picked without replacement from ujuhhduhujqjqjqugj?
1/204
Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {q: 3, c: 4, z: 4}.
8/55
Calculate prob of picking 1 y, 1 w, and 2 d when four letters picked without replacement from {y: 1, b: 1, w: 4, z: 2, d: 2}.
2/105
Three letters picked without replacement from ffwhqqwqhqwqqy. Give prob of picking 1 w, 1 y, and 1 h.
3/182
Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {u: 3, p: 8, o: 5}.
3/182
Three letters picked without replacement from {x: 7, c: 2, r: 3, u: 7}. What is prob of picking 2 u and 1 r?
21/323
Calculate prob of picking 2 f when two letters picked without replacement from iifififiiif.
6/55
Two letters picked without replacement from bbxpybyxxxp. What is prob of picking 2 y?
1/55
Calculate prob of picking 3 h and 1 o when four letters picked without replacement from {y: 6, h: 5, o: 2}.
4/143
Three letters picked without replacement from fvvbbt. Give prob of picking 1 b, 1 t, and 1 v.
1/5
Three letters picked without replacement from {t: 1, g: 1, x: 4, o: 3, p: 2}. Give prob of picking 1 x and 2 p.
4/165
Two letters picked without replacement from sssssss. Give prob of picking 2 s.
1
Two letters picked without replacement from {p: 5, l: 3, v: 4, c: 1}. What is prob of picking 1 l and 1 c?
1/26
Three letters picked without replacement from oxoxcwxxco. What is prob of picking 2 o and 1 c?
1/20
Four letters picked without replacement from xxldzldqdxdxqdlxxx. Give prob of picking 3 x and 1 z.
7/612
Four letters picked without replacement from wsihihwjv. Give prob of picking 2 w, 1 i, and 1 j.
1/63
Three letters picked without replacement from uuuu. Give prob of picking 3 u.
1
Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?
1
Calculate prob of picking 1 q, 1 p, and 1 l when three letters picked without replacement from lqlllpqqqpqqplqpqql.
72/323
Two letters picked without replacement from udxuxdquuuouxuouou. Give prob of picking 1 q and 1 d.
2/153
Calculate prob of picking 2 y, 1 e, and 1 g when four letters picked without replacement from zzgqegzzgjyjggy.
1/273
Calculate prob of picking 3 r when three letters picked without replacement from rdkkkrrr.
1/14
What is prob of picking 1 x and 2 o when three letters picked without replacement from {i: 2, b: 2, c: 2, v: 2, o: 5, x: 5}?
25/408
What is prob of picking 2 o when two letters picked without replacement from {v: 2, o: 10, l: 2}?
45/91
Two letters picked without replacement from mrppxttmpxeepp. Give prob of picking 2 p.
10/91
Three letters picked without replacement from tmmmtmmmm. Give prob of picking 3 m.
5/12
What is prob of picking 1 k and 1 d when two letters picked without replacement from vyfffdffddfffydky?
1/34
What is prob of picking 1 z, 1 s, and 1 e when three letters picked without replacement from {s: 2, p: 3, z: 9, e: 2}?
9/140
Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwww.
1
Two letters picked without replacement from zjzljsjzzjejzoe. What is prob of picking 2 e?
1/105
Four letters picked without replacement from djvdyv. Give prob of picking 4 j.
0
Three letters picked without replacement from {z: 4, r: 1, c: 1, u: 1, g: 1}. Give prob of picking 1 u, 1 c, and 1 r.
1/56
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from rhnrhnnemn.
2/45
Two letters picked without replacement from {u: 1, i: 6, v: 2, q: 8, w: 1}. What is prob of picking 2 v?
1/153
Four letters picked without replacement from {k: 8, x: 1, j: 2, w: 4}. What is prob of picking 1 x, 2 w, and 1 j?
4/455
What is prob of picking 2 g when two letters picked without replacement from {p: 1, c: 4, r: 7, g: 4, f: 2}?
2/51
Two letters picked without replacement from uuvujuuuppuvpuumj. Give prob of picking 1 p and 1 m.
3/136
Four letters picked without replacement from {y: 10, j: 3, c: 1, b: 1, d: 5}. What is prob of picking 1 c and 3 j?
1/4845
Calculate prob of picking 4 c when four letters picked without replacement from sssscsscsscsscssssc.
5/3876
Calculate prob of picking 1 n, 1 p, and 1 o when three letters picked without replacement from {u: 1, p: 3, n: 1, o: 3, h: 2}.
3/40
Calculate prob of picking 1 s, 1 t, and 1 g when three letters picked without replacement from {c: 1, g: 1, u: 1, s: 2, k: 1, t: 1}.
2/35
Two letters picked without replacement from icof
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k**2
Let y(u) = 7*u**3 + 68*u - 43. Let b(r) = 2*r**3 + 23*r - 15. Let s(i) = -17*b(i) + 6*y(i). Let c(d) = -3*d**3 - 6*d + 1. Calculate 17*c(m) + 6*s(m).
-3*m**3 - 1
Let s(r) = 9*r**2 + 4*r**2 - 3 - 13*r + 1. Let c = 24 - 3. Let d = 25 - c. Let a(h) = -6*h**2 + 6*h + 1. Calculate d*s(v) + 9*a(v).
-2*v**2 + 2*v + 1
Suppose -2*p + 47 = 3*h + 64, 3*p - 2*h - 7 = 0. Let m(s) = 4 + s + 5*s + s**2 + 2*s**2. Let l(c) = c + 1. Give p*m(z) + 6*l(z).
-3*z**2 + 2
Let w(d) = -d**2 - 2*d - 1. Let z(l) = -33*l**2 - 14*l - 7. What is -21*w(t) + 3*z(t)?
-78*t**2
Let t(o) = 433*o**2 - 12*o + 15 - 9*o + 6*o - 428*o**2. Let n(b) = -b + 1. Determine 30*n(c) - 2*t(c).
-10*c**2
Suppose -2*x = -3*x - 1. Let q(a) = -21*a - 20*a + 2*a**2 - 22*a + 89*a - 21*a. Let o(t) = t. Suppose -30 = -3*p - 2*p. Determine p*o(i) + x*q(i).
-2*i**2 + i
Let n(p) = -36*p + 18. Let r(q) = -9*q + 5. Give -4*n(m) + 15*r(m).
9*m + 3
Let y = 13 - 12. Let w(z) = -z. Let k(i) be the first derivative of -i**3/3 + 5*i**2/2 - 1. Let d = 20 + -14. Calculate d*w(r) + y*k(r).
-r**2 - r
Suppose 328*i - 316*i - 168 = 0. Let a(r) = 2*r**2 - 7*r + 7. Let p(f) = f**2 - 3*f + 3. Calculate i*p(x) - 6*a(x).
2*x**2
Let c = 7 - 8. Let k(w) = 26. Let o(i) = 35. Let b(p) = -4*k(p) + 3*o(p). Let v(l) = 4 + l**2 + l + 4 + 0*l. What is c*v(h) + 6*b(h)?
-h**2 - h - 2
Let x(m) = -77*m**3 + 2*m**2 - m - 3. Let d(u) = 231*u**3 - 5*u**2 + 2*u + 8. Calculate 3*d(n) + 8*x(n).
77*n**3 + n**2 - 2*n
Let y(d) = -2*d. Let q(h) = 3*h + 4. Let j be q(2). Let n(g) = 2*g + 11*g - j*g. What is 2*n(f) + 4*y(f)?
-2*f
Let y(d) = -4*d**2 - 21. Let p(u) = -15*u**2 - 86. Determine -2*p(r) + 9*y(r).
-6*r**2 - 17
Suppose 9 = x + 2*b, -5*x + 5*b + 0*b = 0. Suppose v + x = 6. Let f(q) = -5*q**3. Let i(r) = 6*r**3 + 1. Give v*f(k) + 2*i(k).
-3*k**3 + 2
Let w(u) = u**3 + 3*u**2 + 16*u. Let b(c) = -c**3 - 5*c**2 - 34*c. What is -4*b(d) - 7*w(d)?
-3*d**3 - d**2 + 24*d
Let v(g) = 2. Let y(q) = -2*q. Let h(r) = 7*r - 2. Let j(x) = -h(x) - 4*y(x). What is 5*j(f) - 4*v(f)?
5*f + 2
Let x(z) = 4*z**2 - 5. Let q(i) = -8*i - 36. Let m be q(16). Let g = m + 160. Let t(u) = -3*u**2 + 4. Calculate g*x(b) - 5*t(b).
-b**2
Let x be -7*(-2 - -1)*2. Suppose -5*b - s = 0, -2*s = b + s - x. Let k(t) = t**2 - 2*t - 2. Let f(r) = r + 1. Determine b*k(w) - 2*f(w).
-w**2
Let j(s) = 5*s - 3. Let u(o) = 14*o - 9. Let v(k) = -17*j(k) + 6*u(k). Let y(z) = -1. Suppose 7*a + 2*a - 54 = 0. Calculate a*y(f) - 2*v(f).
2*f
Let s(g) = g**3 - g**2 - 2*g. Let a(q) = -756*q**3 - 4*q**2 - 6*q. What is -a(w) + 3*s(w)?
759*w**3 + w**2
Let c be (-3)/(4 + 0 - 3) + 92. Suppose -92*k = -c*k + 9. Let i(m) = 2*m**2 + m + 3. Let s(y) = -2*y**2 - 4. Calculate k*i(n) - 2*s(n).
-2*n**2 - 3*n - 1
Let c(g) = -2342*g**2 + 10539*g + 7026. Let i(d) = -d**2 + 3*d + 2. Determine c(j) - 3513*i(j).
1171*j**2
Let d(x) = -x**2 - x + 6. Let n(a) = 217*a**2 + 2*a - 18. Give -3*d(f) - n(f).
-214*f**2 + f
Let u(q) = q**3 - 2*q. Let r(t) = 8*t**3 - 62*t. Determine -r(s) + 6*u(s).
-2*s**3 + 50*s
Let t(a) = 12*a**2 - 1013*a. Let y(i) = 10*i**2 - 1013*i. Determine -4*t(h) + 5*y(h).
2*h**2 - 1013*h
Let a(u) = -30 + 52 + 8*u - 12. Let v(b) = -7*b - 9. Determine -6*a(j) - 7*v(j).
j + 3
Let b(u) = -111*u + 8. Let l(w) = w + 1. Give b(f) - 6*l(f).
-117*f + 2
Let n(u) = -11*u**2 + 3*u + 81. Let a(g) = 6*g**2 - 2*g - 40. What is 7*a(v) + 4*n(v)?
-2*v**2 - 2*v + 44
Let s(l) = l**2 - l + 1. Let r(j) = -439*j**3 + 3*j**2 - 3*j + 3. Calculate r(t) - 3*s(t).
-439*t**3
Suppose -4 = l, -4*v + 4*l = 50 + 206. Let t(w) = -66*w - 34. Let i(b) = 6*b + 3. Give v*i(k) - 6*t(k).
-12*k
Let s(f) = 8*f - 4. Let n(h) = -44 + 121 - 35 + 4*h - 44. Give 5*n(c) - 3*s(c).
-4*c + 2
Let z be -1 + ((-3)/5 - (-46)/10). Let h(b) = 0 - 5 - 16*b**2 + 11*b**2 + 5*b + 4*b**z. Let o(c) = -c**3 + c**2 - c + 1. Give -h(u) - 5*o(u).
u**3
Let y(m) = 4*m**2 + 11*m - 11. Suppose -1 = -t - 3. Let i(o) be the first derivative of -o**2 + 2*o - 1/3*o**3 - 5. What is t*y(l) - 11*i(l)?
3*l**2
Let x(h) = -h**2 + 3. Let t = 96 + -54. Let r = t + -39. Let n(o) = -2*o**2 + 8. What is r*n(w) - 8*x(w)?
2*w**2
Let i(l) = -l**3 - l**2 + 3. Let d(p) = 4*p**2 + 3*p + 9. What is -d(f) + 3*i(f)?
-3*f**3 - 7*f**2 - 3*f
Let a(t) = 5*t**3 - t**2 - 7*t. Let m(k) be the second derivative of k**5/5 - k**4/12 - k**3 + 61*k + 2. Give -5*a(g) + 6*m(g).
-g**3 - g**2 - g
Let d(g) = 6*g**3 + 5*g**2 + 2*g. Suppose 7*z = 16 + 19. Let u(o) = -7*o**3 - 6*o**2 - 2*o. What is z*u(q) + 6*d(q)?
q**3 + 2*q
Let u(y) = y**2 - y. Let d(m) = -8*m**2 + 4*m + 6. Let c(f) = 1. Let w(a) = -6*c(a) + d(a). What is 10*u(s) + w(s)?
2*s**2 - 6*s
Let i(f) = -308*f + 313*f - 4 + 0 - 4*f**2. Let p(c) = 11*c**2 - 14*c + 11. What is 17*i(y) + 6*p(y)?
-2*y**2 + y - 2
Let d(u) = 119*u + 28. Let m(b) = 23*b + 6. Calculate 2*d(w) - 11*m(w).
-15*w - 10
Suppose -14 = 3*m + n, 5*n = -2*m - 62 + 57. Let v(q) = 4*q**3 + q**2 + 5*q + 7. Let x(i) = 2*i**3 + 2*i + 3. Let j be 14/(-4)*(-12)/21. Give j*v(g) + m*x(g).
-2*g**3 + 2*g**2 - 1
Let h(o) be the second derivative of o**2/2 + 14*o. Let k be ((-8)/(-4))/1 + 2. Let p(u) = u + 4. What is k*h(n) - p(n)?
-n
Let v(o) = -2*o + 6. Let j(f) = -2*f + 21. Let s(u) = u - 7. Let k(m) = 2*j(m) + 7*s(m). Determine 5*k(p) + 6*v(p).
3*p + 1
Let o(t) = -7887*t**2 + 88*t - 176. Let v(k) = -272*k**2 + 3*k - 6. Give -3*o(q) + 88*v(q).
-275*q**2
Let w(u) = -9865*u + 40. Let x(t) = 1409*t - 6. Determine 3*w(o) + 20*x(o).
-1415*o
Suppose 136*f = 138*f - 334. Let u = f + -165. Let y(n) = -4*n. Let c(o) = o. What is u*y(s) + 11*c(s)?
3*s
Let a(q) = 34*q**2 + q + 3. Let j(l) = 33*l**2 + 4. Determine 3*a(m) - 2*j(m).
36*m**2 + 3*m + 1
Suppose -28 = -5*f + 7. Suppose -5 - 37 = f*n. Suppose 0 = -4*z - 3*j + 4 + 4, 12 = -3*j. Let y(s) = 2*s - 2. Let p(v) = 2*v - 2. Calculate n*p(c) + z*y(c).
-2*c + 2
Let s be (-3 - -1)*(-5 + 2). Let y(w) = 5*w + 8. Let p(h) be the second derivative of -7/3*h**3 - 23/2*h**2 + 0 - 3*h. What is s*p(j) + 17*y(j)?
j - 2
Let x(k) = 7*k**3 + 8*k**2 - 6*k + 14. Let b(p) = -6*p**3 - 7*p**2 + 5*p - 15. Determine -6*b(r) - 5*x(r).
r**3 + 2*r**2 + 20
Let l(w) = 4*w**3 - 3*w**2 + 3*w + 3. Let p(a) = -a**3 + a**2 - a - 1. Let v(m) = -37 + 2*m - m + 47. Let j be v(-7). Determine j*p(f) + l(f).
f**3
Let p(j) = 3*j**3 + 3*j**2 - 2*j - 1. Let z(k) = -7*k**2 + 12*k - 5. Let y(s) = 20*s**2 - 34*s + 14. Let c(g) = 6*y(g) + 17*z(g). What is 3*c(i) - p(i)?
-3*i**3 + 2*i - 2
Let j(r) = 23*r**2 + 9*r + 2. Let i(v) = -11*v**2 - 5*v - 1. Determine -7*i(n) - 4*j(n).
-15*n**2 - n - 1
Let l(a) = 17*a**2 - 23*a**2 - 3 + 2*a + 8*a**2. Let n(b) = -b**2 - 2*b + 3. Give 3*l(j) + 4*n(j).
2*j**2 - 2*j + 3
Let w(v) = -v**2 + 4*v + 4. Let i = -327 + 282. Let k(u) = 10*u**2 - 45*u - 45. Give i*w(z) - 4*k(z).
5*z**2
Let t(k) be the first derivative of k**3 - 1/2*k**2 + 47 - 2*k. Let o(p) = -p**2 + p + 1. What is 2*o(l) + t(l)?
l**2 + l
Let b = -9 - -11. Suppose l + 9 = -b. Let t(y) = 8*y - 7. Let g(j) = 15*j - 13. What is l*t(k) + 6*g(k)?
2*k - 1
Let b(v) = 3*v - 3. Let p(x) = -x**2 + 4*x - 4. Suppose -40 = 2*a + 6*k, -5*a + 6*k = k. Determine a*p(l) + 6*b(l).
5*l**2 - 2*l + 2
Let p(f) = -10*f**2 - 3*f + 31. Let q(r) = 3*r**2 + r. Calculate -p(u) - 3*q(u).
u**2 - 31
Let r(o) = -2*o**3. Let q(i) = -13*i**3 - 5. Let g(f) = 8*f**3 + 3. Let k(x) = 5*g(x) + 3*q(x). Give -3*k(v) - r(v).
-v**3
Let x(d) = 6*d - 3 - 10*d - 1 + 1 - 5. Let b(o) = -9*o - 17. Determine 6*b(t) - 13*x(t).
-2*t + 2
Let b(h) be the first derivative of h**3/3 - 3*h**2/2 + h - 1. Let m(d) = -3*d**2 + 7*d - 3. Suppose -44*r + 637 = 549. Calculate r*m(l) + 5*b(l).
-l**2 - l - 1
Let d(q) = -2*q + 5. Let t(g) = -2*g + 4. Let h(s) = s + 33. Let j be h(0). Let z = j + -29. What is z*t(c) - 3*d(c)?
-2*c + 1
Let r(j) = 11*j**2 - 2*j - 2. Let k(m) = -46*m**2 + 28*m + 28. Let y(l) = -24*l**2 + 15*l + 15. Let a(h) = -6*k(h) + 11*y(h). Calculate 2*a(w) - 3*r(w).
-9*w**2
Let r(c) = 2*c**2 + 35*c - 6. Let i(v) = -5*v**2 - 72*v + 10. What is -3*i(s) - 5*r(s)?
5*s**2 + 41*s
Let d(f) be the first derivative of 2*f**2 - 3. Suppose -40*p - 59 - 381 = 0. Let q(j) = -21*j - 1. Determine p*d(s) - 2*q(s).
-2*s + 2
Let o(d) = -4380*d**3 + 220*d**2 + 220. Let a(s) = -60*s**3 + 3*s**2 + 3. Determine 440*a(u) - 6*o(u).
-120*u**3
Let h(y) = -y**2 - y. Let x(s
|
{
"pile_set_name": "DM Mathematics"
}
|
24 + -22e7?
-22c3
In base 16, what is a54 - aa?
9aa
In base 6, what is 14553 + -34?
14515
In base 16, what is -9d + 13f8?
135b
In base 7, what is -4 + -3605?
-3612
In base 9, what is -62 - -16008?
15836
In base 12, what is -a719 + -10?
-a729
In base 2, what is -10 + 10110001011010?
10110001011000
In base 7, what is -5611 - 113?
-6024
In base 16, what is 2584b + 12?
2585d
In base 2, what is 11 + -1001100010001000011?
-1001100010001000000
In base 9, what is 8 + 25677?
25686
In base 3, what is 1111 - 10100?
-1212
In base 10, what is 521681 + 1?
521682
In base 15, what is 2 + 110d?
1110
In base 8, what is -20324 - 2?
-20326
In base 6, what is -11051 - 1000?
-12051
In base 13, what is -837 + -ba?
-924
In base 7, what is 333 + 5232?
5565
In base 12, what is -21 + 10?
-11
In base 9, what is 6 - 136434?
-136427
In base 15, what is -192541 + -2?
-192543
In base 8, what is 10421 - 5?
10414
In base 8, what is 103621 + 3?
103624
In base 2, what is -101111010000100010111 - 10?
-101111010000100011001
In base 12, what is -3 - 6143b?
-61442
In base 10, what is -3 + 34?
31
In base 15, what is -5 + -6c95?
-6c9a
In base 2, what is -10111111 + 1011111010?
1000111011
In base 14, what is -c816 + -3?
-c819
In base 9, what is -1448 - -620?
-728
In base 14, what is 1 - 17da3d?
-17da3c
In base 2, what is 110010011100001001 - 1?
110010011100001000
In base 10, what is 295511 + -1?
295510
In base 16, what is -3e8dd - -1?
-3e8dc
In base 9, what is 21 + -155128?
-155107
In base 3, what is -2 - 21021122222?
-21021200001
In base 15, what is -68 + -258?
-2c1
In base 7, what is 365 - 26315?
-25620
In base 11, what is -112a - 6?
-1135
In base 15, what is 2 - 5736?
-5734
In base 9, what is 4 - 1175763?
-1175758
In base 14, what is 42 + -6b5a?
-6b18
In base 15, what is 96d0 - 4?
96cb
In base 7, what is 1661 - -43?
2034
In base 7, what is -221113 + 4?
-221106
In base 3, what is 22122 - 11002000?
-10202101
In base 5, what is 122 - 33143?
-33021
In base 10, what is -91 - 1577?
-1668
In base 10, what is 4 + 8831?
8835
In base 5, what is 2034 + 132?
2221
In base 7, what is -1 - 353304?
-353305
In base 16, what is 1 + -201d1?
-201d0
In base 5, what is -1 + 313103?
313102
In base 14, what is c34 + 149?
d7d
In base 11, what is -1 - 51a75?
-51a76
In base 5, what is 400 - 212?
133
In base 12, what is -3 + -47554?
-47557
In base 12, what is -200a39 + 1?
-200a38
In base 9, what is 283 - -864?
1257
In base 3, what is 11100000100 - -1112?
11100001212
In base 16, what is 139c - 76?
1326
In base 14, what is 2 - 2cd44c?
-2cd44a
In base 14, what is -82 + 280?
1dc
In base 15, what is 5 + -2220b?
-22206
In base 5, what is -13 - 24440?
-30003
In base 3, what is 11 - 11000122212?
-11000122201
In base 11, what is 15 - 30588?
-30573
In base 2, what is -11 + -101110000111?
-101110001010
In base 16, what is 1faf + -b?
1fa4
In base 11, what is 5912 - 3?
590a
In base 13, what is -12 - -1727?
1715
In base 8, what is -11467 - 112?
-11601
In base 7, what is -564 - 13026?
-13623
In base 3, what is -110121222 + -110?
-110122102
In base 16, what is -38 - -5f31?
5ef9
In base 15, what is 6a51 + -22?
6a2e
In base 11, what is -238 - -25a?
22
In base 2, what is -101 - 10001111000011?
-10001111001000
In base 9, what is 1210003 - -3?
1210006
In base 2, what is 111111 - -111000101101111?
111000110101110
In base 2, what is 1010100010 - 101000001?
101100001
In base 15, what is 438 + -3c5?
63
In base 3, what is 11211 + -10102220?
-10021002
In base 13, what is -1a3 - -5721?
554b
In base 4, what is -110 - 11333?
-12103
In base 4, what is 1 + 3300033?
3300100
In base 6, what is 5413 - -32?
5445
In base 2, what is 1111011 - -11011111?
101011010
In base 6, what is -14503 + -302?
-15205
In base 11, what is -4 + -1337?
-1340
In base 7, what is -320661 + 0?
-320661
In base 12, what is 37 + -7795?
-775a
In base 9, what is -26777 - -3?
-26774
In base 10, what is 83181 - -5?
83186
In base 16, what is 294 + 5a?
2ee
In base 3, what is 1 - 10020201220?
-10020201212
In base 3, what is -1 + 201101011?
201101010
In base 2, what is 110 - -10111?
11101
In base 10, what is 92240 - 5?
92235
In base 2, what is -100110 + 1001110110101011?
1001110110000101
In base 9, what is -3 + 27812?
27808
In base 8, what is 24 + -220?
-174
In base 14, what is -91d3 - 2?
-91d5
In base 11, what is -1 - -9028?
9027
In base 12, what is 56 + -223?
-189
In base 16, what is 6ad22 - 3?
6ad1f
In base 6, what is -11313032 - 5?
-11313041
In base 5, what is 0 + -4140404?
-4140404
In base 3, what is -1100 - -102001?
100201
In base 11, what is -1 + -559652?
-559653
In base 14, what is -5b1c27 + 0?
-5b1c27
In base 3, what is -102011102202 + 12?
-102011102120
In base 9, what is -481 - -380?
-101
In base 7, what is 232 + -3016?
-2454
In base 15, what is -38 - 51e6?
-522e
In base 10, what is -1449 - 78?
-1527
In base 14, what is -5b5 - 63?
-638
In base 3, what is -12 + 22000202?
22000120
In base 14, what is 6376 + -19?
635b
In base 2, what is 11 + 1010100101010101011?
1010100101010101110
In base 9, what is 74313 - 0?
74313
In base 11, what is -10421 - 4?
-10425
In base 7, what is -1366423 + 5?
-1366415
In base 8, what is -3223 - 227?
-3452
In base 14, what is 16cb26 + -3?
16cb23
In base 11, what is -1155 + -4?
-1159
In base 11, what is 1597 - 3?
1594
In base 5, what is -2 + 1004242?
1004240
In base 2, what is -10101 + -100010100101000?
-100010100111101
In base 7, what is 136053 + 4?
136060
In base 2, what is 1001011101 - 101000?
1000110101
In base 7, what is 4 + -2112?
-2105
In base 3, what is 20201 + 1021120?
1112021
In base 6, what is 23523350 + 1?
23523351
In base 11, what is -4a9 + 32?
-477
In base 10, what is 2 + -462166?
-462164
In base 15, what is -21 + -3632?
-3653
In base 14, what is -231b + -3d?
-235a
In base 15, what is -8388 - -6?
-8382
In base 10, what is 0 - -1036005?
1036005
In base 14, what is 1c98d + 4?
1c993
In base 5, what is -110320 + -102?
-110422
In base 14, what is 0 + -bd371?
-bd371
In base 16, what is -819 - 8?
-821
In base 16, what is 0 + 120b8?
120b8
In base 12, what is 227 + 170b?
1936
In base 13, what is 6 + -653c?
-6536
In base 5, what is -2013 - 331?
-2344
In base 8, what is -13107114 - 2?
-13107116
In base 16, what is 202 + 62?
264
In base 9, what is -26 + -2317?
-2344
In base 2, what is -1011111000000000111 + 101?
-1011111000000000010
In base 8, what is -176 + -311?
-507
In base 2, what is -1010000 - 1101010?
-10111010
In base 9, what is -11388 + 30?
-11358
In base 8, what is 0 - -15614?
15614
In base 14, what is -4 + -7b55?
-7b59
In base 13, what is -7 - 842c?
-8436
In base 16, what is -3 - 6205?
-6208
In base 12, what is 8 + -705?
-6b9
In base 13, what is -207b - 6?
-2084
In base 5, what is -300123 - -34?
-300034
In base 9, what is 7 + 63741?
63748
In base 7, what is -44112 - -14?
-44065
In base 7, what is 0 + -42421?
-42421
In base 15, what is -18bc + -3c?
-1909
In base 2, what is -11000110001000 + 101001?
-11000101011111
In base 9, what is -3 + -4607?
-4611
In base 15, what is 3 + -466b?
-4668
In base 7, what is 4051 + 3?
4054
In base 12, what is 48 + -2420?
-2394
In base 9, what is 6 + -464340?
-464333
In base 5, what is 203 + 123113?
123321
In base 14, what is b8bd7 + -1?
b8bd6
In base 13, what is aa726 - 1?
aa725
In base 6, what is -251514 + 35?
-251435
In base 15, what is 25 - -b10?
b35
In base 3, what is -10202202 + 211?
-10201221
In base 6, what is -34522 - 122?
-35044
In base 13, what is 1306 + 8?
1311
In base 12, what is 6188 - -4?
6190
In base 8, what is -7376 - -46?
-7330
In base 4, what is -31302 + -211?
-32113
In base 13, what is 20a29 + 23?
20a4c
In base 5, what is 124202020 + -4?
124202011
In base 8, what is -4276 + 135?
-4141
In base 12, what is 8936b - -4?
89373
In base 9, what is -2167 - 21?
-2188
In base 3, what is 2122102220 - -100?
2122110020
In base 3, what is -211100 - 1022210?
-2011010
In base 14, what is 377487 - -2?
377489
In base 10, what is 2 - 37947?
-37945
In base 6, what is -514 - 15244?
-20202
In base 8, what is -5 + -143071?
-143076
In base 2, what is -11100100 + 1000010010011?
111110101111
In base 11, what is -160551 - -1?
-160550
In base 5, what is 22043420 + 3?
22043423
In base 16, what is 4 + 9d0e5?
9d0e9
In base 7, what is -124 + 4432?
4305
In base 5, what is -4 + 3041300?
3041241
In base 4, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
)/((-3)/(-4)). Let a(n) = 15*n**2 - n - 1. Let j be a(u). Suppose 5*i - 203 = -3*c, -5*c + 2*i = j - 420. What is the units digit of c?
1
Let d(h) = h**3 - 20*h**2 - 21*h - 81. Let f be d(21). Let o = f + 152. What is the units digit of o?
1
Suppose -1132*g + 416*g + 9153742 - 1446718 = 0. What is the tens digit of g?
6
Let b(w) = -13441*w + 11. Let u be b(-4). Suppose -19781 = -37*h + u. What is the thousands digit of h?
1
Let b be (0 + 2)/(7 + -5). Let l be (99 + 11)*b/2. What is the units digit of l + -4 + 0 + 4?
5
Suppose 3*m - 6*m = -324. Suppose 500 = 7*g + m. Suppose 88 = 3*f - 5*s, -g = -f - 3*s - 2*s. What is the units digit of f?
6
Let h be ((-10)/6)/(3/(18/(-5))). Suppose -3*s + q = -q - 513, 4*q = -h*s + 342. What is the hundreds digit of s?
1
Suppose -280 = -6*h + 134. Let y = -31 + h. Suppose -5*b + y = -7. What is the units digit of b?
9
Suppose -h - d + 1 = 0, -3*h + 31*d + 23 = 29*d. Let x = 3 + 3. What is the tens digit of h/(20/6)*260/x?
6
Let k be (-108)/(-486) + (2 - 21/(-27)). Suppose 0 = -k*f - 2*t + 1719, -4*f + 2851 = -4*t + 579. What is the units digit of f?
1
Let i(y) = 8*y**2 - 6*y - 4. Let j be i(-6). Suppose 4*n = 4*x + j, -3*x - 226 = -3*n - 7*x. What is the tens digit of n?
7
Suppose 2 = 2*t - 8. Suppose i - 7 = -3*w, -w + 0*i = t*i + 7. Suppose 3*d + w*j - 180 = 0, 2*d - 5*j = 6*d - 235. What is the units digit of d?
5
Let d = -3237 - -3345. What is the units digit of d?
8
Let h = 27 - 29. Let t be ((-49)/21)/(-7) + 8/(-6). What is the units digit of (-156)/(-8) + t/h?
0
Let w = 50398 - 29136. What is the thousands digit of w?
1
Suppose 3*c = 2*c + 14. Let p = c + -6. What is the units digit of p*(-1)/(-2) + 68?
2
Let c(p) = p + 10. Let s be c(2). Suppose 0*r + 2*r + 2*m = 780, -4*m + s = 0. What is the units digit of r?
7
What is the units digit of ((116/(-16) + 7)*-1172)/1?
3
Suppose 0 = -6*m - 1319 - 697. Let l = m - -1181. What is the hundreds digit of l?
8
Let v(y) = 311*y**2 + 86*y + 694. What is the units digit of v(-7)?
1
Suppose -24*q = -6*q + 5*q - 63434. What is the hundreds digit of q?
7
Let u = 921 + -800. Let m be 1/4 + (-1630)/(-8). Let x = m - u. What is the tens digit of x?
8
What is the units digit of 14*(-3)/70 + -3*57066/(-5)?
9
Suppose 0 = 2*a - g - 124, -220 = -4*a - 3*g - 2*g. Let r = -7 - a. Let p = r - -159. What is the tens digit of p?
9
Let x be 7*-2*13/(-26). Suppose x*t + 86 - 1857 = 0. Suppose -4*p + 354 = -2*q, 2*p = 5*p + q - t. What is the tens digit of p?
8
Let t = 20 + -2. What is the units digit of (-12)/t*(-115 + -2)?
8
Let d be (-37)/(-7) + 2/(-7). Suppose 0 = -2*f + 4*q + 2126, f = -d*q + 616 + 454. What is the tens digit of f?
6
Let q(f) = 17489*f + 2462. What is the ten thousands digit of q(3)?
5
Suppose 4*b - 3*k - 1562 = 164, 2*b - 4*k = 868. What is the tens digit of -1 + (330/75)/(2/b)?
4
Let w(z) = -9*z**3 + 10*z**2 + 24*z - 7. Let y be w(-5). Let d = y + -3. What is the hundreds digit of d?
2
Let y be (5 - 2)*-3*(-133 + -6). Let u = -692 + y. What is the hundreds digit of u?
5
Suppose 2*p - p + 27 = 3*y, 0 = -4*p - 12. Suppose -1671 - 3361 = -y*m. What is the tens digit of m?
2
Let g(r) = -34*r + 16. Let t(v) = v. Let w(c) = -g(c) - t(c). What is the units digit of w(9)?
1
Let q(l) = 5*l - 55. Let b be q(11). Let m = 8 - 6. Suppose 0 = 4*d - 0*a + 2*a - 382, b = -m*d + 4*a + 196. What is the tens digit of d?
9
Suppose b = 2*x + 114, 0 = 5*b - 0*b - 10. What is the hundreds digit of (0 - x/(-8)) + 972?
9
Let o be (-1)/(-4 + (-2038)/(-510)). Suppose 9*j = 4*j + o. Suppose 5*l - j - 139 = 0. What is the units digit of l?
8
Let g(b) = -b**3 - 13*b**2 - 21*b + 18. Let a be g(-11). Suppose -8768 = -23*q + a*q. What is the units digit of q?
8
Let r = 4170 + 1404. What is the tens digit of r?
7
Suppose v = -5*v + 30. Suppose 0 = -2*h + v*y + 270, -y - 609 = -5*h - 5*y. What is the hundreds digit of h + -3 + (2 + -5 - -3)?
1
Let l(s) = 3*s**2 + 10*s + 11. Let n be l(-4). Suppose 0 = n*u - 17798 - 10265. What is the units digit of u?
7
Let u = 2228 - 1473. Let z = u + -685. What is the units digit of z?
0
Suppose -55910 - 36466 = -18*a. What is the thousands digit of a?
5
Let y be 2/(-12) - 916/(-24). Suppose y*r - 26*r = 1452. What is the hundreds digit of r?
1
Let y be (-3718)/39*3/(-2). Let h = y + -104. Suppose 45 = 3*n - h. What is the units digit of n?
8
Let y be ((-2)/(-4))/(6/6576). Let q = y - -196. Suppose -5*i - 29 = -q. What is the hundreds digit of i?
1
Suppose -4*t + 4*z = -75928, 4*t + 4*z = -428 + 76316. What is the ten thousands digit of t?
1
Suppose 26*o - 46415 - 26099 = 0. What is the hundreds digit of o?
7
Suppose 1313539 = -56*m + 251*m - 1450391. What is the tens digit of m?
7
Let n = -137 - -186. Suppose 45*k = n*k - 104. What is the units digit of k?
6
Let d = -35 - -40. Let v be (27 - d/5) + (1 - 0). What is the units digit of -2*v*(-2 + 3/9)?
0
Let j = -12151 + 14334. What is the tens digit of j?
8
Let j(u) = -25*u - 44. Let z(q) = -13*q - 22. Let f(i) = 6*j(i) - 11*z(i). Let o be (-18)/8*864/(-324) - 23. What is the tens digit of f(o)?
9
Let x be (-265 - 2)*(-42)/18. Suppose -m - 621 = -2*m - q, 0 = -m - 3*q + x. Suppose 6*l + 92 = m. What is the tens digit of l?
8
Let q = -6418 - -16637. What is the thousands digit of q?
0
Let p = 138 + -124. Suppose 19*o - p*o + 220 = 0. What is the tens digit of 5*5/25 - o?
4
Let v = 24494 + -14385. Suppose -14*g + v = 3095. What is the hundreds digit of g?
5
Suppose 14*p + 78 = a - 102, -2*p - 780 = -3*a. What is the hundreds digit of a?
2
Let r(l) be the second derivative of 25*l + 1/2*l**3 + 0 + 0*l**2 + 137/12*l**4. What is the tens digit of r(-1)?
3
Let y(w) = -82*w - 8. Let b(n) = -n**2 + 11*n - 29. Let i be b(6). Let g be (0 - -1)*i*(1 - 4). What is the units digit of y(g)?
8
Let a(b) = b**2 + 25*b - 40. Let m be a(-23). Let d be (6/9)/((-6)/(-882)). Let z = d + m. What is the units digit of z?
2
What is the thousands digit of (-138 + 8087)/(2/(-2) + (-4)/(-3))?
3
Suppose 0 = -t + 4*n + 9, -4*t = -4*n + n - 10. Let j = t - -1. Suppose 5*g = j*l - 7*l + 410, l + 5*g - 98 = 0. What is the tens digit of l?
7
Suppose -2*j - s - 2640 = -12781, -3*s = -4*j + 20297. What is the tens digit of j?
7
Suppose 5*c - 3*c - 5*d - 421 = 0, -3*d - 210 = -c. Suppose 3*q + 2*s = 623, 2*q - q + 2*s = c. Let m = q - 42. What is the hundreds digit of m?
1
Suppose 3*z - 2*z = 2*z - 23062. What is the hundreds digit of z?
0
Suppose 5*h - 3 = 3*a + 10, 5*a = 4*h - 13. Let z = 110 + -76. Suppose 0 = h*l - 38 - z. What is the units digit of l?
6
Let j be ((-2)/(-6))/((-2)/18). Let k be (j - (-638)/(-2))*(-1)/2. Suppose 5*x = 289 + k. What is the tens digit of x?
9
Let y be (0 - -6)/((-581)/(-56) - 10). Suppose 0 = -24*s + y*s + 9688. What is the hundreds digit of s?
2
Let j(w) = -11*w**2 + 7. Let n = 6 - 10. Let a be j(n). Let l = a - -263. What is the units digit of l?
4
What is the tens digit of 26524/(19/133*14)?
6
What is the hundreds digit of 3816*((-20)/450*-9)/(6/15)?
8
Let x(c) be the second derivative of -c**5/20 - 5*c**4/6 - 25*c**3/6 + c**2 + c - 52. What is the tens digit of x(-8)?
7
Let g(t) = -47*t + 95. Let a(x) = 25*x - 48. Let w(u) = 5*a(u) + 3*g(u). What is the hundreds digit of w(-8)?
1
Let v(b) = 97*b**2 + 3*b + 3. Let y(w) = -5*w**2 + 5*w + 1. Let q be y(3). Let f = 28 + q. What is the tens digit of v(f)?
9
Let h(k) = -2*k**2 + 5*k - 5. Let d(o) = o**2 + 10*o + 10. Let z be d(-9). Let j be h(z). What is the tens digit of 29*4/2 - (-2)/j?
5
Suppose 5170810 = 318*s - 5396648. What is the units digit of s?
1
Let g(s) = -5*s**3 - s**2 - s - 1. Let l be g(-1). Suppose 92 = 5*f - 0*f + 4*m, -l*m = -12. Suppose -f*v + 20*v - 184 = 0. What is the units digit of v?
6
Let t(m) be the second derivative of m**4/4 + 6*m**2 + 493*m. Let p(n) = n + 1. Let j be p(3). What is the tens digit of t(j)?
6
Suppose 0 = -40*y - 41034 + 74784 + 54090. What is the thousands digit of y?
2
Suppose -3*h + g + 0 = -3, 5*h - 3*g - 5 = 0. Let d(k) = -k - 1. Let b(c) = 7*c**2 - 12*c. Let x(j) = h*b(j) - 5*d(j). What is the tens digit of x(5)?
4
Suppose 111*r = 2155934 + 505454 + 658955. What is the ten thousands digit of r?
2
Let h = 11379 - -20787. What is the thousands digit of h?
2
Let w(o) be the third derivative of o**5/60 - 19*o**4
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence eyy when three letters picked without replacement from yyyyeeeeeyee?
7/66
Two letters picked without replacement from ttkpptautpuppuppk. What is prob of sequence pa?
7/272
What is prob of sequence jjj when three letters picked without replacement from {j: 19, w: 1}?
17/20
Calculate prob of sequence trr when three letters picked without replacement from ttttgrghrtttjgtttg.
5/1224
Three letters picked without replacement from {b: 2, e: 2}. What is prob of sequence bee?
1/6
Calculate prob of sequence hzf when three letters picked without replacement from {f: 3, h: 6, b: 1, x: 6, z: 1}.
3/680
What is prob of sequence iw when two letters picked without replacement from kwkkbidbdbiyikbdbi?
2/153
What is prob of sequence mg when two letters picked without replacement from {m: 1, y: 2, r: 1, g: 2}?
1/15
What is prob of sequence jdj when three letters picked without replacement from jjdjdjjdjdddjdddjjj?
45/323
Four letters picked without replacement from {u: 6, d: 7}. Give prob of sequence duuu.
7/143
What is prob of sequence zz when two letters picked without replacement from zmcmzmzzzddmmzmdmm?
5/51
Two letters picked without replacement from xddodsxdwswsxswgs. Give prob of sequence dg.
1/68
Calculate prob of sequence hhz when three letters picked without replacement from {z: 1, h: 4, j: 2, q: 2}.
1/42
Three letters picked without replacement from xyxuuuodoojuu. Give prob of sequence dxu.
5/858
Four letters picked without replacement from {c: 3, t: 15}. Give prob of sequence tctt.
91/816
Three letters picked without replacement from {q: 2, t: 2, n: 2, a: 4, k: 2}. Give prob of sequence qnn.
1/330
Calculate prob of sequence kny when three letters picked without replacement from {s: 3, k: 3, d: 5, n: 1, y: 1}.
1/572
Three letters picked without replacement from jnljtmtpp. Give prob of sequence jjt.
1/126
Three letters picked without replacement from oxmomxmmomxoam. Give prob of sequence xxm.
3/182
Two letters picked without replacement from {z: 11, w: 3}. What is prob of sequence zw?
33/182
Calculate prob of sequence yuuy when four letters picked without replacement from {y: 3, u: 4}.
3/35
Calculate prob of sequence qcc when three letters picked without replacement from cqcqccsqs.
1/14
What is prob of sequence zu when two letters picked without replacement from uzuuzzzx?
3/14
Four letters picked without replacement from {o: 5, q: 1, g: 3, p: 1}. Give prob of sequence qgpo.
1/336
Four letters picked without replacement from wwwwww. Give prob of sequence wwww.
1
Two letters picked without replacement from jjnjjjjjxjjxjjxj. Give prob of sequence xx.
1/40
Calculate prob of sequence rub when three letters picked without replacement from {i: 11, b: 1, u: 4, r: 1}.
1/1020
Four letters picked without replacement from {x: 1, g: 1, e: 4, n: 1, s: 2}. What is prob of sequence xsgs?
1/1512
Calculate prob of sequence yylx when four letters picked without replacement from {l: 5, x: 5, y: 4}.
25/2002
Three letters picked without replacement from {k: 4, q: 4, w: 7}. Give prob of sequence kkq.
8/455
Calculate prob of sequence pr when two letters picked without replacement from {v: 1, p: 1, r: 17}.
17/342
Two letters picked without replacement from {p: 10, r: 3, y: 1, t: 2}. Give prob of sequence pt.
1/12
Two letters picked without replacement from {h: 6, y: 7}. Give prob of sequence hh.
5/26
Four letters picked without replacement from {u: 6, m: 8, h: 3}. What is prob of sequence uumu?
2/119
Four letters picked without replacement from {l: 4, c: 6}. Give prob of sequence llll.
1/210
Calculate prob of sequence mxx when three letters picked without replacement from mxxx.
1/4
Two letters picked without replacement from {k: 1, z: 1, u: 1, n: 1, c: 1}. Give prob of sequence ku.
1/20
Two letters picked without replacement from {m: 3, b: 4, n: 3, x: 2, e: 4, l: 2}. What is prob of sequence xm?
1/51
What is prob of sequence be when two letters picked without replacement from ffpemebmmmfmm?
1/78
Three letters picked without replacement from kkanr. Give prob of sequence kra.
1/30
Four letters picked without replacement from giwslsp. What is prob of sequence iigw?
0
Three letters picked without replacement from sswssssswssososso. What is prob of sequence sss?
11/34
Three letters picked without replacement from {u: 2, o: 1, d: 1, e: 6, x: 5}. Give prob of sequence dxu.
1/273
Four letters picked without replacement from {p: 7, z: 7}. Give prob of sequence pzzp.
21/286
Four letters picked without replacement from lsxmsttssmpm. Give prob of sequence ltxt.
1/5940
What is prob of sequence qq when two letters picked without replacement from ssqsssqsqsqq?
5/33
Three letters picked without replacement from hhnbhhkhkknhkbhhhhh. Give prob of sequence kbb.
4/2907
Two letters picked without replacement from {b: 11, r: 1, f: 1}. Give prob of sequence fb.
11/156
Two letters picked without replacement from ugfgnunf. Give prob of sequence fn.
1/14
What is prob of sequence ee when two letters picked without replacement from eqpqe?
1/10
What is prob of sequence jfe when three letters picked without replacement from {z: 1, g: 2, e: 11, f: 3, j: 1}?
11/1632
What is prob of sequence oo when two letters picked without replacement from koekkooormrm?
1/11
What is prob of sequence jjdx when four letters picked without replacement from {x: 1, d: 2, j: 5, s: 3, y: 1}?
1/297
Four letters picked without replacement from {e: 4, h: 2, v: 1, u: 2, d: 2, a: 1}. What is prob of sequence deeu?
2/495
Two letters picked without replacement from {f: 5, l: 7}. What is prob of sequence lf?
35/132
Two letters picked without replacement from xkmiikiim. Give prob of sequence xm.
1/36
Two letters picked without replacement from orcrmrxcmrmcmrxrcxr. What is prob of sequence xr?
7/114
Two letters picked without replacement from {i: 1, q: 8, z: 1, a: 1, c: 1, g: 2}. What is prob of sequence zi?
1/182
Three letters picked without replacement from {x: 1, z: 1, e: 1, o: 1, m: 11}. What is prob of sequence zzz?
0
Calculate prob of sequence ssl when three letters picked without replacement from {l: 2, s: 4, d: 1, p: 3, w: 1, x: 4}.
4/455
Two letters picked without replacement from ddd. Give prob of sequence dd.
1
What is prob of sequence llak when four letters picked without replacement from {o: 2, k: 4, a: 4, l: 9}?
4/323
Four letters picked without replacement from {z: 11, x: 1, f: 3}. What is prob of sequence xzff?
11/5460
Three letters picked without replacement from xxwwxwxwxkwwxwxwkxw. What is prob of sequence kxk?
8/2907
Calculate prob of sequence snyy when four letters picked without replacement from yyyjjysnnj.
1/210
Three letters picked without replacement from {m: 4}. What is prob of sequence mmm?
1
Calculate prob of sequence ff when two letters picked without replacement from vlwffvffuulwqwv.
2/35
Calculate prob of sequence bb when two letters picked without replacement from {t: 1, j: 2, b: 4}.
2/7
Four letters picked without replacement from ssgssgggffggggrs. Give prob of sequence frgs.
1/546
Calculate prob of sequence rjaa when four letters picked without replacement from {s: 2, j: 2, r: 5, a: 4}.
1/143
What is prob of sequence zzz when three letters picked without replacement from {n: 1, r: 2, z: 4}?
4/35
Two letters picked without replacement from {a: 2, u: 3, j: 4, g: 1, q: 1, w: 1}. Give prob of sequence qw.
1/132
What is prob of sequence vdh when three letters picked without replacement from dhhhhdvvhhhvhdhv?
9/280
What is prob of sequence jej when three letters picked without replacement from {y: 4, k: 2, j: 5, p: 1, e: 2}?
5/273
Two letters picked without replacement from yyrqeryyjyjyyqe. Give prob of sequence jy.
1/15
Four letters picked without replacement from {g: 1, s: 3}. Give prob of sequence sssg.
1/4
What is prob of sequence ffh when three letters picked without replacement from hfhhfh?
1/15
Two letters picked without replacement from {v: 2, l: 4, c: 4, b: 1}. What is prob of sequence lc?
8/55
Two letters picked without replacement from enebbbb. Give prob of sequence en.
1/21
What is prob of sequence ehh when three letters picked without replacement from ehhxehe?
3/35
Calculate prob of sequence htw when three letters picked without replacement from {h: 1, i: 2, w: 1, n: 1, d: 1, t
|
{
"pile_set_name": "DM Mathematics"
}
|
205234)/(-1513).
-136
(-2)/((163/(-489))/(191/(-16))) + (-15)/(-24)
-71
(-233730)/(-43407) - (-5)/(-1)
5/13
Evaluate (-306726)/109545*(-390)/28.
39
10/6*(-170 + 15 - -158)
5
What is the value of ((-64)/(-20))/(858/240)*1 + (-986)/(-5423)?
14/13
Calculate (-1093683)/346024 - (-18)/14.
-15/8
What is the value of 44 + 382374/(-2813) + 92?
2/29
94 - 38*(-165)/330
113
Evaluate (-49 - (-24840)/420) + (2/(-10) - (-162)/(-15)).
-6/7
Calculate (-3634)/12719 - ((-2)/(-12) - 179/210).
2/5
What is (6/(-4 + 88))/(198/36 - 6)?
-1/7
(-377 - 15)/7 - (-69 - -39)
-26
What is the value of (2 - 135/75) + (6/(-4))/(72/288)?
-29/5
What is the value of 594/440 + -10 + 825/100?
-2/5
What is (209 + 9151)/(-90) + (0 - -27)?
-77
Calculate (-3)/32*(-14996)/(-163) + (28 - 19).
3/8
Evaluate (-15860)/(-936) - (21 - (-10233)/(-486)).
17
((-11)/3)/((-79)/8295*-7)
-55
What is 2/(-7)*(-144)/840*-49?
-12/5
Calculate 14*(63/((-10143)/3404) + 17).
-58
What is 4*(-85)/36 + (14 - 3)?
14/9
Calculate 59/(10620/(-1050)) - ((-18)/(-24) - (-2)/(-8)).
-19/3
What is ((-22)/(-56) + 1/(-4))/(-9 - 7250/(-805))?
23
What is the value of (-27)/(-156)*(-89)/((-801)/(-12))?
-3/13
Evaluate 4/(5 + -3) + 81500/(-41565).
2/51
1 - -67 - (74 - (155 - 97))
52
What is the value of (1004/(-3263))/(224/(-91))?
1/8
Calculate (-13)/(-39)*(-19 + 7)*(3 - -21).
-96
Calculate ((-12)/(-126) - (2272/(-252) - -11)) + 2.
1/9
What is (-12)/4 - (-98)/30 - (-46852)/(-330720)?
1/8
-56 + (-3240)/(-72) - (95/(-2))/5
-3/2
Evaluate (-2)/(-112)*1/((-1818)/(-126) - 13).
1/80
Calculate (-161)/14 - 50609/(-4862).
-12/11
What is the value of 91/13 + (-21 - -4 - -16)/((-78)/(-543))?
1/26
Evaluate ((-33)/(-154)*10)/((-24)/(-140))*(3 - 5).
-25
What is the value of ((-6)/14*16)/(100 - 5082*33/1617)?
24/13
-26*(34*(-23)/2990 - (-1)/(-5))
12
(18 + (-891)/54)*13/(234/204)
17
What is -45 - (66 - 48920/440)?
2/11
Evaluate (-24)/(-10)*380/8*(-7110)/21330.
-38
What is the value of ((-3 + (32 - 3))/(-23 + 18))/(540/450)?
-13/3
Calculate 4/(-1573)*(5*1891/(-310) - -24).
2/121
Evaluate ((-472)/(-12036))/(42/476).
4/9
Calculate -75 + 59 + -35 + 54.
3
1969/(-55) - (-27)/5*54/162
-34
Evaluate -72*(16/22 - (-133960)/(-194480)).
-36/13
What is the value of 252/162*(-57)/152?
-7/12
What is (-12 + (-342)/(-27))/((-188)/30)*(-9)/(-15)?
-3/47
Evaluate 59/((-1475)/4200)*(-2)/(-6).
-56
What is ((-444)/28860)/((-9)/(-300)) - (-20)/26?
10/39
What is the value of ((-160 + -48)/(-26) - (-1076)/(-134))*1?
-2/67
What is the value of (8276/(-43449))/((-2)/735)?
70
((-80)/(-9)*18/12)/(6390/15336)
32
What is (2 + -3)/(6864/(-8492)) + 15/36*-3?
-1/78
What is (-53)/(-161) - ((-51)/(-7) + 546/(-172 + 94))?
1/23
What is the value of 142/3 + 145 + -151 + 14/12?
85/2
8*(38 + 6312/(-192))
41
What is ((-3)/(210/(-80)) - 1)*(60/(-50) + 1)?
-1/35
What is (-218)/(-560) - (297/648)/(253/207)?
1/70
Evaluate (-109190)/1074*(-84)/70.
122
What is (1 + 8/(-2))*250/(-375) + (-8680)/(-70)?
126
Evaluate (-1 - 0)/(5203/(-363) - -27).
-3/38
What is the value of (2706/4428)/(44/126)?
7/4
-7 + -16 - (-68096)/2944
3/23
What is the value of ((-380)/285)/(5/135)?
-36
Calculate (-80)/25*2335/(-250312).
2/67
((-2)/5)/(((-36)/360)/(10/((-140)/287)))
-82
What is (-13 - 840/40) + 101?
67
(51*325/1105)/(12/76)
95
What is the value of 24 - 7 - (25 + (-96 - -91))?
-3
20/(-35) + (-39)/(-105) + (192717/115)/19
88
Evaluate (-3 + (-18 - -1))/((2501/(-10004))/((-1)/(-10))).
8
What is ((-396)/(-55))/((-2)/5) + 110/3?
56/3
Calculate 90/(-35)*16/(-720)*15.
6/7
Calculate (-57 - -22 - 16 - 51)*-1*(-1)/(-3).
34
Calculate (863/(-73355))/(12/(-40)).
2/51
Evaluate ((-2)/(-3))/((-40)/230 + (-16027)/1081).
-2/45
Evaluate 57/722 + 32086/99940.
2/5
Evaluate 46 - 72*42/(-63).
94
What is 10*(44 + -1 - 44)?
-10
Calculate (-3040)/(-2280)*108/16.
9
(198/(-1078))/(-7 + (-156)/(-21)) + 2008/14
143
Calculate (-751755)/11385 + -2 + 68.
-1/33
(13/(-195))/(-1) - (-5 + (466/15 - -6))
-32
Calculate ((-147)/15876*54)/(33/15 - 2).
-5/2
What is (29008/(-147))/(744/279)?
-74
What is (162/1701)/(2/16) + (-36)/(-63)?
4/3
What is the value of (-88)/2772 + 256/126 + 17 + 76?
95
14 - (-20 - (-19 - (12 + -6)))
9
What is 45/1 + (4 - -1 - (154 - 148))?
44
What is (21/25)/((-340442)/1190 - -286)?
-49/5
Evaluate (8/12)/(((-266)/(-57) + -6)/1).
-1/2
Calculate -28 + -132*20/(-240) + -10.
-27
(105/7 - (-49)/((-882)/2340))*(-2)/5
46
Calculate ((-21973867)/143623 + 153)/(4/62).
2/41
Calculate (-2*(-243)/144)/(324/(-1728)).
-18
Evaluate ((-36684)/(-16304))/((-25)/20).
-9/5
Evaluate (-35 - 3136/(-80))*(-28)/6 + 13.
-33/5
What is the value of 44/(-190) + 1/6*(-41844)/17435?
-12/19
(2/15)/((-50199)/(-1160) - 43)*(5 + -2)
16/11
What is ((-20)/(-350) - (-230370)/(-1225))*(-18)/(-24)?
-141
-18*13/(-312) + (-428)/528
-2/33
What is -124 + 55 + (-4964)/(-72)?
-1/18
What is the value of (6919/85 - 37) + -72 + 28?
2/5
Calculate ((3 - 3) + 2)/(1587/92 + -17) - -52.
60
(72072/(-17199))/((-11)/12)
32/7
What is 265/11 - ((-1)/(11/10) - (-913)/913)?
24
Calculate 16 - ((-378)/(-70) - 8)*5.
29
-123 - -95 - 148/(-6)
-10/3
(-2)/8*((-30)/(-180) + -6 + 248/48)
1/6
What is the value of (-6)/57 + (-53737)/143811 + 216/486?
-1/29
What is the value of 346/(-10) - (40 - 65)?
-48/5
(-5)/(-25)*10/4*(-8208)/(-6156)
2/3
85204/850 + 42 + -142
6/25
1/((-4)/40) + (-773324)/(-75808) + (-3)/8
-4/23
What is (-44)/(-30)*(-10140)/(-37180) - (-1 + (-242)/(-180))?
1/18
What is the value of 1 - (1008/(-42) + 2/((-16)/(-212)))?
-3/2
What is the value of (-350)/(-28)*(-60)/100*4/3*2?
-20
Evaluate 3624/180 - (26 - 1552/60).
20
3/(-9) + (-500)/(-150) - 8*6
-45
What is the value of 10 + (1638/(-1404)*(-6 - 0) - 1)?
16
What is the value of (-3 + -567)*((-10992)/(-240))/(-229)?
114
Calculate ((-335)/(-10) + -17 + -19)*(-2 - -22).
-50
Evaluate 2948/5159 + 2295/(-35).
-65
Calculate 1/(((-10)/42)/(1630/(-1956)))*4.
14
Calculate -426*(-4)/672 + 50/(-1400).
5/2
What is the value of 46/(1886/(-369)) - 2?
-11
(-2)/27 + ((-8741541)/1863)/(-151)
31
Calculate (-5)/(1136601/10716 - 106).
-76
What is the value of (-1032)/(-6020)*(-147)/6?
-21/5
(1 - ((-1 - -2) + 1)) + 2660/5320
-1/2
(-534)/18 + (-34)/(408/(-300))
-14/3
Calculate (-131)/(-1572)*(1800/207 - 8).
4/69
Calculate (-5)/(-1550)*-20 + (16440/3999 - 4).
2/43
Evaluate 2074/25925 + 4592/100.
46
-2 - -13 - (20*(-20)/300)/((-16)/996)
-72
(-11349)/1746 - (0 + (-24 - -5 - -6))
13/2
What is (3266 + -3263)/(2/(-46))?
-69
What is the value of (-20336)/15252*((-3 - (-172)/38) + -1*2)?
12/19
What is the value of 1*(2 + -5) - (-62 + -3012)/53?
55
What is the value of (-63 - (-40 - 7) - (-138)/9)/((-4)/174)?
29
180/(-240)*280/63
-10/3
What is the value of ((-350)/(-150))/(77/528)?
16
What is (-52 - -3) + -840 + 862?
-27
What is -170*92/((-112608)/(-360))?
-50
Evaluate 151226/2551420 + (-36)/4770.
3/58
((-10)/4)/(7770/(-10360) + (-38)/(-16))
-20/13
Evaluate 108/82368*-248 - (-24)/(-176).
-6/13
Evaluate 138/(-9) + (-2)/(-12) - (-70)/(-38220)*91.
-46/3
What is -14 + 1 - ((-35)/5 - 19*(-989)/(-1634))?
11/2
Calculate ((-220)/385)/(-2)*-84.
-24
Calculate ((-204)/108)/(-17) + 32/(-180)*-5.
1
Evaluate -3 - 134/(-46) - (-3 - (-41244)/(-322) - -7).
124
Calculate (784/(-12))/(-28)*(-1870)/308.
-85/6
44 - 65156/1482 - (1415/(-285) + 5)
0
What is 25/2*62656/(-97900)?
-8
What is -484*75/378 + (-374)/(-11781)?
-96
29 - 13056/448 - (8/(-42))/(2/3)
1/7
What is the value of 38 - (-97094)/(-817) - (36/(-57))/(-4)?
-81
Calculate 12/(-429)*(-156)/(-24).
-2/11
What is ((2/(-70))/((-6)/(-15))*-2)/((-20256)/(-8862))?
1/16
What is the value of 3326/51553 - 22/(-620)?
1/10
What is (-95)/(-57)*(-747)/(-166)*(-4)/(-730)?
3/73
What is the value of (-4)/(-10)*-3*(-125085)/(-2421)?
-62
What is (1012/(-828))/((-2)/(-8)) + (10 - (0 - -5))?
1/9
What is 6 + 90*-13*4/(-312)*-4?
-54
Calculate ((-32364)/(-810) + -40)/(264/11*2/(-15)).
1/72
Evaluate -47 + 88 - (-13226)/(-969)*3.
1/19
Calculate 1865/(-1119)*(-288)/15.
32
What is (9 - 3)*(-5 - (-936)/182)*2/(-12)?
-1/7
What is 7*(-28)/1960*5/((-25)/1140)?
114/5
(5 + -105)*(-15 + 671/44)
-25
What is the value of 1*3*((-2)/(-242))/(2886/(-10582))?
-1/11
Calculate 1671750/(-434700) - 621/(-162).
-2/161
Calculate (2100/(-1540))/((-5)/(-3)*4185/(-775)).
5/33
(-96)/546*(-777)/444
4/13
Calculate 34/(-68)*(-1)/(-3) + 25/(1500/(-8690)).
-145
Calculate (1738
|
{
"pile_set_name": "DM Mathematics"
}
|
Convert 11000000110101000101 (base 2) to base 12.
3210b1
What is -134024433 (base 5) in base 10?
-689368
Convert 813614 (base 9) to base 2.
1110101100101100111
What is 1304505 (base 10) in base 16?
13e7b9
-454072 (base 10) to base 7
-3600553
What is -561206 (base 8) in base 5?
-22022222
Convert -15712050 (base 8) to base 13.
-9a6b93
-1b10 (base 16) to base 9
-10447
What is 100d0 (base 15) in base 5?
3111240
Convert -14ca10c (base 13) to base 3.
-110120012221021
What is -1102221111012 (base 3) in base 14?
-15d4c7
What is -11145 (base 11) in base 4?
-3330032
-123300440 (base 5) to base 7
-5061506
33310133 (base 4) to base 15
142ee
Convert 5435782 (base 9) to base 2.
1011001000001111111010
135605 (base 8) to base 13
18b09
-311365 (base 7) to base 10
-53359
671875 (base 10) to base 15
d411a
What is c80e (base 15) in base 8?
122512
101101010000111011000 (base 2) to base 11
923406
What is 4c976 (base 14) in base 8?
560054
-35ed55 (base 15) to base 14
-4b2ad3
4da54 (base 16) to base 8
1155124
What is -3ea5b9 (base 15) in base 3?
-12200112022010
-a3108 (base 12) to base 3
-101210202122
1001110111010100001000 (base 2) to base 4
21313110020
What is -4a936 (base 11) in base 12?
-362b6
-2303302123 (base 4) to base 10
-736411
What is -235751 (base 11) in base 7?
-3114110
-153260200 (base 7) to base 16
-9cea3d
What is -4aa306 (base 12) in base 2?
-100101001111100110110
Convert 413663 (base 8) to base 4.
201132303
1ec3e4 (base 15) to base 10
1509514
5e8075 (base 16) to base 11
3550105
What is 20404220 (base 5) in base 3?
22121020202
Convert -89511 (base 10) to base 6.
-1530223
Convert -131134002 (base 6) to base 14.
-4b1a26
Convert 5646024 (base 7) to base 4.
2223011133
What is -1aba016 (base 12) in base 3?
-101202120221200
What is -82696 (base 11) in base 14?
-31d5b
-2030321313 (base 4) to base 6
-20211543
-2157150 (base 8) to base 6
-20242504
1704694 (base 10) to base 8
6401366
1853d07 (base 14) to base 8
55721663
Convert 22bb0 (base 14) to base 5.
10202010
107764 (base 10) to base 11
73a68
1075a6a (base 12) to base 15
420b4d
-15127051 (base 9) to base 10
-7517494
-2850560 (base 9) to base 10
-1568538
2490741 (base 10) to base 16
260175
-1302300 (base 6) to base 15
-15d69
-1ec67e (base 16) to base 7
-23100105
Convert -100011010011 (base 3) to base 13.
-63cc7
What is -115876 (base 16) in base 10?
-1136758
24274 (base 10) to base 11
17268
What is 11011010111111111101000 (base 2) in base 9?
14446760
What is 241434114 (base 5) in base 9?
2103204
-12012012112 (base 3) to base 16
-18f41
What is -45662777 (base 8) in base 3?
-200200002111020
Convert 254606 (base 8) to base 4.
111212012
Convert 404614 (base 7) to base 6.
1251001
What is -8551307 (base 11) in base 10?
-15052649
Convert -75267 (base 8) to base 5.
-2001130
What is -10330202022 (base 4) in base 11?
-806107
-337000 (base 8) to base 13
-3cc7a
Convert 1a0cd (base 16) to base 4.
122003031
What is -1a3a42 (base 13) in base 16?
-a2696
What is -5410166 (base 9) in base 3?
-12110100012020
What is 51132143 (base 6) in base 15?
1dc230
92cde (base 15) to base 2
1110001100110000100
What is 144642 (base 9) in base 12?
43425
Convert -1061362 (base 7) to base 14.
-36469
Convert -12101111000022 (base 3) to base 5.
-1213113040
What is -4224231 (base 5) in base 3?
-10120210120
Convert 401301124 (base 5) to base 11.
994921
-1002211222112 (base 3) to base 12
-244035
132455044 (base 7) to base 9
17073657
1010111101101100010 (base 2) to base 16
57b62
Convert 762657 (base 8) to base 7.
2112425
Convert -1277774 (base 10) to base 12.
-517552
Convert -89665 (base 12) to base 9.
-307155
-1736157 (base 8) to base 4
-1323301233
41312 (base 13) to base 5
12220323
What is -143702 (base 8) in base 2?
-1100011111000010
What is -780a97 (base 11) in base 9?
-2307823
Convert 202224210 (base 5) to base 11.
51054a
Convert -1110001010100110100000 (base 2) to base 9.
-6878784
Convert 1001111010011010101 (base 2) to base 14.
86537
246356 (base 7) to base 3
2022100212
Convert 203230331 (base 4) to base 2.
100011101100111101
What is 1101001022002 (base 3) in base 9?
1331262
160a03 (base 16) to base 8
5405003
b5ff9 (base 16) to base 4
2311333321
Convert -1301203140 (base 5) to base 12.
-1079427
What is -160014 (base 7) in base 5?
-1444344
What is 18e76a (base 16) in base 9?
3056741
-15bb37 (base 14) to base 10
-762293
Convert -21010001002 (base 3) to base 13.
-4b950
-57486 (base 14) to base 12
-a2966
-140113243 (base 7) to base 16
-8a8a2b
-30003003 (base 5) to base 13
-82b0c
2458178 (base 12) to base 4
123001233230
33479 (base 10) to base 12
1745b
Convert 1001111103 (base 5) to base 7.
22524114
Convert -11010 (base 11) to base 15.
-4b08
What is -22313110121 (base 4) in base 13?
-78942b
Convert -170965 (base 12) to base 5.
-100122412
Convert 249416 (base 12) to base 10.
596754
What is -13210212 (base 5) in base 9?
-220871
Convert -133000011130 (base 4) to base 8.
-37000534
Convert -476542 (base 8) to base 5.
-20210140
Convert 15891b3 (base 13) to base 8.
32342612
What is -110555354 (base 6) in base 16?
-1e9c76
What is -14c515 (base 14) in base 11?
-456019
Convert -124511312 (base 6) to base 14.
-482cb2
Convert 440014033 (base 5) to base 3.
10112022120210
What is -6c5b6 (base 15) in base 3?
-122120000000
-6846b34 (base 12) to base 7
-332003254
Convert -5f371 (base 16) to base 4.
-1133031301
-3928070 (base 10) to base 4
-32333000012
1001001000001011 (base 2) to base 15
b127
Convert 11100001011100010 (base 2) to base 8.
341342
Convert 9aaa6 (base 12) to base 7.
1514016
-231321032 (base 4) to base 3
-100112212022
-230303122 (base 4) to base 5
-21333024
-43351 (base 11) to base 16
-f600
What is 2033224302 (base 5) in base 11?
2406221
-2002140 (base 5) to base 13
-11487
2242080 (base 9) to base 4
10213012302
Convert 167fe (base 16) to base 6.
1550354
2322753 (base 11) to base 15
552a84
Convert 1120000113 (base 4) to base 10.
360471
Convert -14a615 (base 15) to base 6.
-33211415
-121110123 (base 5) to base 2
-10001010010000010000
What is -1001101010111100110111 (base 2) in base 5?
-1122111343
What is -2032431120 (base 5) in base 4?
-33332010222
20121021221021 (base 3) to base 13
95b459
Convert -240353413 (base 6) to base 16.
-44cf91
Convert -a4697 (base 14) to base 5.
-100141240
What is 295243 (base 11) in base 14?
bdd15
Convert -3061345 (base 7) to base 6.
-11515044
What is 6600510 (base 7) in base 11?
501336
110221110210 (base 3) to base 7
2110521
What is 2120924 (base 10) in base 9?
3882322
Convert 1177304 (base 15) to base 13.
2798827
Convert -2775712 (base 8) to base 15.
-107a6e
What is -13306235 (base 7) in base 12?
-4b3345
Convert -453211 (base 6) to base 5.
-2211221
3101441420 (base 5) to base 8
27753234
What is -42223251 (base 6) in base 4?
-10230301033
39ce9 (base 16) to base 11
151992
-5303402 (base 6) to base 7
-2121305
-44a290 (base 11) to base 4
-2232322003
85633 (base 14) to base 7
2511363
10110332020 (base 4) to base 7
12433333
What is 10a4c (base 13) in base 14?
b095
702449 (base 11) to base 16
11403c
What is 3a0073 (base 14) in base 11?
1144a21
What is -1223242 (base 8) in base 15?
-6a04a
-5d89 (base 15) to base 2
-100110111011001
Convert -10112212112 (base 3) to base 15.
-15a95
Convert -100011122021201 (base 3) to base 14.
-90c4c6
What is -31533421 (base 6) in base 4?
-3203003311
What is d104db (base 15) in base 7?
150230540
What is -20211012021 (base 3) in base 16?
-20c86
-32223012110 (base 4) to base 13
-a48a84
173732 (base 9) to base 3
12110211002
What is -24caca (base 15) in base 7?
-20665261
What is 101224322 (base 5) in base 9?
701324
-101723 (base 8) to base 7
-200250
What is 21020202122 (base 3) in base 2?
100010110101111000
Convert 195ebe (base 15) to base 11.
774033
What is -10110110011101001 (base 2) in base 5?
-10442132
28853 (base 13) to base 15
17848
Convert -13639615 (base 10) to base 8.
-64017677
-942909 (base 15) to base 16
-6b821b
Convert 10011011011100010100100 (base 2) to base 4.
103123202210
10d08 (base 15) to base 9
81418
-22130033 (base 4) to base 15
-ca12
What is -47971 (base 14) in base 4?
-222222033
Convert -123140122 (base 5) to base 14.
-118632
42211141 (base 5) to base 12
14b010
Convert -1c83 (base 15) to base 7.
-24033
-122203232102 (base 4) to base 13
-1599b87
-1210001120001 (base 3) to base 10
-94
|
{
"pile_set_name": "DM Mathematics"
}
|
j + 15, 0 = 2*k - 5*j - 13 for k.
4
Let j = 4692 - 4684. Solve -8*a + 10*a = -4*g + 4, g = 3*a + j for g.
2
Suppose 5*j - 2*v - 9 - 12 = 0, 3*j = 2*v + 11. Solve 6*r - 33 = j*c + 2*r, -4*c - 10 = 5*r for c.
-5
Let j(c) = 2*c**3 + 2*c**2 - 7*c + 6. Let d be j(-6). Let n be ((-702)/d)/(6/8). Solve 0 = -5*g - b + 23, 0*g + 29 = 5*g + n*b for g.
4
Suppose 2*y + 5*r = -11, -62*r = -2*y - 61*r + 7. Suppose -5*l + 3*t = -0*t - 135, -135 = -5*l + 5*t. Solve -4*m + y*m = 3*i - 13, -l = -5*m - 2*i for m.
5
Let m(j) = 2*j + 1. Let g be m(-2). Let h = -3 - g. Let y be (4 + 50/(-20))/((-1)/(-2)). Solve -4*f = 4*n + 6 + 6, h = 4*f + y*n + 7 for f.
2
Suppose -590 = -203*z + 144*z. Solve -j + z = -2*u, -13 = -3*j + 2*u - 3 for j.
0
Suppose -m + 2 = -2*m + 3*d, 2*m + d = 10. Suppose -m*v + 2*t + 8 = -0*t, -2*v = t - 4. Solve v*y - 2 = -2*u - 4, -2*u = y + 1 for y.
-1
Let b = -449 + 456. Suppose b*v - 3*v = 28. Solve -2*t = t - n + v, 0 = 2*n - 8 for t.
-1
Suppose 38*k - 1460 = -692*k. Suppose j - 1 - 1 = 0. Solve -2*t - 3*t = 3*o - k, -2*t + j*o = 12 for t.
-2
Suppose -y = -5*t + 16, 19 = -4*y + t + 4*t. Let b be 7/(0 + -7)*5*y. Solve 3*a + b*d + 22 = 4, 0 = -2*a - 5*d - 17 for a.
-1
Let p be 1620/80 + -21 - (-14)/(-16)*-10. Solve 4*g - p = 4*f, -f - 120 = -121 for g.
3
Let c(h) = -h**2 - 23*h + 2. Let u be c(-23). Suppose -33 = -9*a - u*a. Suppose a*t + 10 - 19 = 0. Solve 0 = -0*x + x, -3*x = -t*g for g.
0
Suppose 16*h - 11*h = 895. Suppose 0 = 6*u - 151 - h. Let d be 22/u + (-26)/(-10). Solve -6 = d*f + q - 23, 3*q = -f + 19 for f.
4
Let w(f) = f**3 - 12*f**2 - 7*f - 68. Let u be w(13). Solve 1 = -4*g + i - 7, 5*g + i + u = 0 for g.
-2
Let z(t) = 4*t - 12. Let o be z(4). Suppose o*c - 60 = -2*u, 2*c = -3*u + 11 + 91. Suppose 2*n - u = -10*n. Solve -9 = -5*y - k, 0*y + 5*y = n*k - 7 for y.
1
Let m(h) = 12*h + 11. Let b(f) = -11*f - 10. Let t = 40 + -35. Let d(y) = t*b(y) + 4*m(y). Let u be d(-5). Solve -4*w = v - 24, -v = -0*w + 5*w - u for v.
4
Suppose -r = 5*j - 62, -4*r - 2*j + 220 - 62 = 0. Suppose 5*w - o = -3*o + r, 3*w = 3*o + 18. Solve 0*s + 5 = -h + s, 5*h + 3*s - w = 0 for h.
-1
Let g = -39386 - -39393. Solve 5*b - 2*t = 37, -2*t - g = 5 for b.
5
Suppose 2*a - 3*m + 28 = 37, 40 = 5*a - 4*m. Solve a = -4*u, 0*j + 3*j + 27 = -6*u for j.
-3
Let o be (-12*1/(-2) + 1254/(-44))*-2. Solve -50 = -5*i + 5*n, 10*n - o = -5*i + 14*n for i.
5
Let v be 6 - (-9 + (3 - 9)). Solve -l = 2*q - 7, 25 - v = 4*q for l.
5
Let t be (17 - (3 - -1)) + -11. Solve -t*y - v = 0, -2*v = -3*y - v for y.
0
Let i(s) = s**3 + 5*s**2 + 12*s + 35. Let h be i(-4). Solve 5 = -4*j + h*a, -4*j + 5 = a - 2 for j.
1
Suppose 21*b = 12*b + 27. Suppose -2*s + 5 = b*w - 9, -5*s + 22 = w. Solve 23 = w*l + 5*d, 3*l + 3*d = -0*d + 21 for l.
4
Suppose 4*y + 3 = -269. Let c = 7629 + -7700. Let l = y - c. Solve -4*z - 29 = -l*q, 0*q = q + 5*z + 22 for q.
3
Suppose 2 = 4*l - w, 558*l + 24 = 555*l + 5*w. Solve -2*b = 0, -6*s - 3*b + 4 = -l*s for s.
1
Suppose 15*b - 45 = 11*b + 3*s, -5*b - 2*s = -62. Suppose -43*z = -35*z - 32. Solve -2 - 1 = -3*a - h, 5*a + z*h = b for a.
0
Let c be 21 + (-11 - 36/(18/(-3))). Let r be ((-115)/(-10) + -8)*c/14. Solve 0 = 4*n - 3*h + 6 + 2, -r*n - 5*h = 8 for n.
-2
Let n(k) = 10*k - 326. Let j be n(33). Solve 4*l + 6*f = 2*f - 20, j*l + f = -20 for l.
-5
Let h = -276 - -280. Suppose 5*p - 30 = -5*w, 13*p - 11*p = h*w - 48. Solve -5*g - w = -5*v, 0*v - 5*v = g - 22 for g.
2
Let h(c) = -16*c + 20. Let s be h(1). Solve -13 = 3*k - 0*k + 4*n, 8 = s*k - n for k.
1
Suppose 0 = 7*p - 6*p + 1. Let w be p - (-2 + 16/(-4)). Suppose 0 = -5*x + 108 + 92. Solve -5*j = -5*c + x, w*c - 3*j + 3 = 35 for c.
4
Let a = 5 - 3. Suppose -38 = 3*x - 5*i, -11*x - 5*i + 2 = -8*x. Let r be (25/(-10) - -1)*16/x. Solve -v - a*z = -1, -v - r*z = 2*v - 3 for v.
1
Suppose 5*p = -7 + 27. Let y be 14/4 + p/8. Let v(j) = 3*j - 16. Let w be v(6). Solve -k = -z + 3, w*k + k = -y*z + 12 for z.
3
Let x(g) = 6*g - 2. Let h be x(-7). Let c(p) = -38*p**2 - 1. Let v be c(-1). Let d = v - h. Solve -2*r - 2*j = -d*j - 14, 2*r - 18 = 4*j for r.
1
Let l = 227 - 200. Suppose 16 = 31*g - l*g. Solve 0 = x - g*v - 21, 4*x - 9 = -v + 2*v for x.
1
Suppose 15*o + 72*o = -18*o + 420. Solve o*c - 4*r + 28 = 0, 3*c - 8*c = 2*r for c.
-2
Let p = 0 - -6. Let h be (-18*p/9)/(-2). Suppose -20 = -h*j - 8. Solve -n + 2*c + j*c = 11, 10 = -2*n + 4*c for n.
1
Suppose -4*v + 46 = 530. Let u = 123 + v. Solve 0 = -u*l - 0*l + 4*q - 22, 0 = l + 5*q - 24 for l.
-1
Suppose -a + 4 = -3*b - 5*a, -20 = -b + 4*a. Suppose 6 = -b*g + 6. Solve -4*w + 28 = -4*k - g*w, k + 2*w + 1 = 0 for k.
-5
Let m = -4334 + 4336. Solve -3*g + 4*v = m*g + 23, -g = 3*v - 3 for g.
-3
Suppose 17*o - 8 = -8 + 85. Solve -4*p = -7*p - 4*i - 11, 0 = -o*p - 3*i for p.
3
Let i(o) = -o**2 + 1047*o - 15476. Let d be i(15). Solve 33*k - q - 10 = 35*k, 19 = -5*k - d*q for k.
-7
Suppose 5*q = -2*i - 10 - 56, 5*i + 184 = -3*q. Let u = -35 - i. Suppose 2*g + u = 5*l - 5, 3*g = -4*l - 12. Solve l = -5*m, -3*a - 2*m = -7*m - 9 for a.
3
Suppose 88 + 22 = 31*k - 14. Solve 5*a - 4*m = -31, 3*a + 3*m + 1 = k for a.
-3
Let a = -58 - -61. Suppose -a*x + 90 = -5*x. Let s = 47 + x. Solve -5*w - 1 = 3*o, -3*w + 8 - s = 4*o for w.
-2
Suppose 3162 = 29*q + 128*q - 1548. Solve -2*g = -10, -3*c + 5*g = -8*c + q for c.
1
Let j = -736 - -744. Solve 0 = -2*b - 2*r + 16, j*r = -5*b + 7*r + 28 for b.
5
Suppose 2*z + 32 = 4*s, -9*s - z = -7*s. Solve 0 = 5*f - s*w - 31, 6*f - w = 8*f - 2 for f.
3
Let u(d) = -8*d - 100. Let y be u(-13). Suppose -4*w = y*r - 5*w - 2, 4*w + 8 = 4*r. Solve 3*t - 2 = 5*v + 2, -v + 2*t + 2 = r for v.
-2
Let n = -53810 + 53812. Let z(r) = r**3 - 4*r**2 - 3*r - 7. Let u be z(5). Solve 0 = -2*g + 10, 2 + n = -u*m - g for m.
-3
Let l be (-2)/(-4) - (-22)/4. Let t(z) = 4*z + 122. Let s be t(-13). Suppose 64*f = 57*f + s. Solve -r - l = -q, 2*q - 5 = 3*r + f for r.
-3
Let u(a) = 6*a**3 - 14*a**2 + 4*a + 3. Let i be u(2). Solve 5*o - 2*g = 23, -i*o = 4*g - 21 + 2 for o.
5
Suppose -98 + 6 = -37*z + 19. Solve 5*t = 0, 3*s + 3*t = 15 - z for s.
4
Let n = -22 + 34. Let q be (-3 + 19 - 8)*(-2)/(-4). Solve n = q*x - 2*u, -2*u = 5*x + 2*u + 11 for x.
1
Let n be ((-28)/6 + (-6)/(-9))/(-2). Suppose 4*u = -3*x - 1, -4*u + 3*x = 5*x - n. Let c be (-8)/(-3) + (0 - u)/(-6). Solve -z = 2*k, c*z = -2*k - z for k.
0
Suppose 2*q + 3*c - 61 = 48, 0 = -4*c - 20. Let g = -64 + q. Let l be (27/(-18))/(1/g). Solve 0 = 3*n + 2*v - l, 2*v - 3*v = 0 for n.
1
Suppose -v - 52 = -3*j, 184 - 186 = -v. Solve -2*y = 2*t - j, -8*y + 9*y = 5 for t.
4
Let i(r) = -2*r + 63. Let t(m) = -18*m + 630. Let l(v) = 21*i(v) - 2*t(v). Let c be l(6). Solve 3*j - 6*j = 4*d - c, -5*j + 13 = -4*d for d.
3
Suppose 0 = 5*q - 47 + 27. Suppose q = 3*p - 5. Solve 12 = -2*y + 4*l, 4*y + p = 2*l - 3 for y.
0
Let i = -18174 - -18176. Solve 22 = 4*r + 3*w, -i*w = 158 - 170 for r.
1
Let f(v) be the second derivative of 0 + v**2 + v + 1/12*v**4 + 5/6*v**3. Let p be f(0). Solve -4*s + 3*s = -2*l - 1, -3*s = p*l - 11 for l.
1
Let w = -492848 + 492848. Let v be (-22)/8*8/(-2). Solve w*u = -5*h - u - v, -1 = u for h.
-2
Suppose -n - 3 = -3*g - 23, -2*n + 5*g = -35. Solve n*z - 40 = 4*f, -3 = 3*z + 3*f - 0 for z.
4
Suppose -h - 3*t = 191, 4*t - 6*t - 573 = 3*h. Let w = h - -196. Solve c + 0*c = a - w, 2*a = -5*c + 3 for a.
4
Let t(s) = -40*s - 2035. Let b be t(-51). Solve 0 = -p + b*p + 5*c, 0 = p - c for p.
0
Suppose -17*g + 30 + 4 = 0. Suppose -2*l + 3*h = 3*l - 6, 9 = g*l + h. Solve -4*s = -3*s + l*z - 13, 5*s - 8 = 4*z for s.
4
Let s(p) = -8*p - 78. Let y be s(-9). Let b be -1 - ((-16)/(-6))/(4/y). Solve -5*a - 8 = -i, -b*i - 3 = a + 5 for a.
-2
Suppose 77*g = 91*g - 140. Suppose -5*z = -4*s - 53, 5*z = s + g + 52. Solve 6 + 6 = 4*w + 2*v, -3*w - z = -4*v for w.
1
Let c = 2873 - 2871. Solve 0 = -4*b + 2*q + 12, 0 = 2*b - c*q - 2 - 8 for b.
1
Suppose 66*h + 416 - 2144 = -30*h. Solve 2*w + 2*x - 14 = -h, w = -2*x - 2 for w.
-2
Suppose 10*u - 12*u = -3*j - 44, 88 = 4*u - j. Suppose u*l - 113 = 63. Solve 2*o = -q - l, -5*q = 3*o - 2*o + 13 for q.
-2
Let y be -3*(-8)/4 - -40. Suppose -y*u = -50*u + 8. Solve 2*x + 11 = -p, 0 = -u*x - 6 - 2 for p.
-3
Let b(l) = -4*l**2 + 18*l - 8. Let a be b(4). Solve a = 4*o - 0*v + 3*v - 18, -o + 11 = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
.
14*k**2 + 7*k
Expand (-6 - i + 6)*(44 + 90 - 25).
-109*i
Expand -2008*n - 39*n**2 + 2008*n + (0 + n + 0)*(-1 + 1 - 3*n).
-42*n**2
Expand (2 - 6 + 1)*(r**4 + r**4 - r**4) + 2592*r**2 + 13*r**4 - 2592*r**2.
10*r**4
Expand (-2 + 2 + 2*u)*(-3 + 2*u + 3) + 0 + 2*u**2 + 0 + 0*u**2 + 0*u**2 - u**2 + 285*u**2 - 78*u**2 - 57*u**2 + 477*u**2.
632*u**2
Expand (j**5 + 0*j**5 + 2*j**5)*(-10 + 1 - 9)*(0 - 2 + 3).
-54*j**5
Expand ((-4 + 0 + 5)*(-1 - 3 + 3) + 2 - 6 - 1)*(129*q - 129*q - 5 + q**2).
-6*q**2 + 30
Expand (-4*l + 4*l - l)*(-1611 + 36*l + 1611).
-36*l**2
Expand (-7*b**3 - 5*b**3 + 2*b**3)*(4*b + 4*b - 3*b + (1 + 2 - 4)*(-2*b - 2*b + 5*b) + 0*b + 0*b - b + (2*b + b - b)*(-1 + 2 - 3)).
10*b**4
Expand (171*k**4 - 4*k**3 + 204*k**4 - 257*k**4)*(2 + 1 - 2).
118*k**4 - 4*k**3
Expand -2 - 3*p**2 + 2 + (-6 + 2 + 3)*(2*p - 2*p + p**2) + 6*p + p**2 - 6*p + (-1 + 1 + 6*p)*(0 - 2*p + 0).
-15*p**2
Expand (2*u**5 + 2*u**4 + u**3 - u**3)*(-2 - 1 + 5) + (-7*u - 9*u - 11*u)*(-4*u**4 + 5*u**4 - 3*u**4).
58*u**5 + 4*u**4
Expand (-2 + 2 - 2*l)*(2*l**4 + 16*l**3 - 16*l**3) + 7*l**2 - 7*l**2 - 14*l**5.
-18*l**5
Expand (t**3 - t**3 + t**3)*(2*t - 2*t + 2*t) + 4*t**4 - 2*t**4 + 110*t**2 - 2*t**2.
4*t**4 + 108*t**2
Expand (14 + 7 - 9 - 2 - 3 + 3 + (2 + 0 - 3)*(5 - 2 - 1))*(3*n**2 + 0*n**2 - 4*n**2).
-8*n**2
Expand (12 - 16 - 207)*(-2*t**3 - 2*t**3 + 2*t**3).
422*t**3
Expand 2*y**5 + 0*y**5 - y**5 - y**5 + 0*y**5 + 0*y**5 + 0*y**5 - 3*y**5 + 6*y**5 - 2*y**5 + y - y + (-4*y**4 + 4*y**4 - 2*y**4)*(-6*y + 0*y + 2*y).
9*y**5
Expand (-2 + 5 + 0)*(5*l - 62 + 62)*(-1 + 6 - 3)*(-2 + 3 + 2).
90*l
Expand (-k + k + k**2)*(3*k - 3*k + k + 1) - 448*k**2 + 448*k**2 + 26*k**3.
27*k**3 + k**2
Expand (0 + 1 + 1)*(1 - 2*u**3 - 1) - 2*u**3 + 0*u**2 + 0*u**2 + 2*u**3 - u**3 - 149*u + 99*u.
-5*u**3 - 50*u
Expand -2*l + 3*l**4 + 2*l + (l**3 - l**3 + l**3)*(0*l + 2*l - 4*l) - 6*l**4 + 2*l**4 - 10*l**4 + 6*l**4 + l**4 - 4*l**4 + 6*l**4 + 0*l**2 + 0*l**2.
-4*l**4
Expand (w**3 + 6*w**3 - 3*w**3)*(-w - 1 + 1) + (-3*w - 6555 + 6555)*(3*w**3 - 4 + 4) + 0*w**4 + 3*w**4 - 2*w**4.
-12*w**4
Expand (0*t**2 + 2*t**4 + 0*t**2)*(-5 - 1 + 5) + 2*t**4 - 2*t**4 - t**4 + 143*t**2 - 143*t**2 + 10*t**4.
7*t**4
Expand (2*c**2 - c**2 - 4*c**2 - 68*c + 68*c - 20*c**2 + (-2*c + 3*c - 2*c)*(-1 + 1 - c))*(3*c - 7*c + 3*c).
22*c**3
Expand (-1 + 3 - 1)*(1 - 1 - 2)*(-3*c**2 - c**4 + 3*c**2) + 2*c**4 + 5*c**2 - 5*c**2 + 1.
4*c**4 + 1
Expand u**2 - 2*u**2 - 9*u**2 + 5*u**2 - 6*u**2 - u**2 + (2*u + 1 - 1)*(2*u + 0 + 0).
-8*u**2
Expand (38 - 3*w - 39 - 10*w)*(1 - 2 + 3).
-26*w - 2
Expand 2*d**4 + 4*d**4 + d**4 + (0*d**2 + 4*d**2 - 8*d**2)*(0*d + 4*d - 2*d)*(2*d + d - d).
-9*d**4
Expand (-80*a - 1 + 164*a - 109*a)*(2*a + a - 5*a).
50*a**2 + 2*a
Expand (-3*q**3 + 0*q**3 + 2*q**3)*(-1 + 3 + 1) - 8*q**3 + 4*q**3 - 20*q**3.
-27*q**3
Expand (8*a - 6*a - 13*a)*(-a - 4 - 12 + 4).
11*a**2 + 132*a
Expand (4 - 4 - t + (2*t - 1 + 1)*(-3 + 1 + 0) - 2 + 17*t + 2)*(1 - 1 + 3).
36*t
Expand ((0 + 0 - y**2)*(1 - 2*y**3 - 1) - 116*y**5 - 128*y**5 + 54*y**5 + (-y**3 + y**3 - y**3)*(3*y - 3*y - y**2))*(2 + 2 - 2)*(0 - 1 - 1).
748*y**5
Expand (-6*n + 18*n + 2*n)*((-3 + 5 + 0)*(-1 - 1 + 4) - 5 - 4 - 1).
-84*n
Expand (-5*c + 2*c + c)*(2 - 2 - 1) + c + c + 0*c - 537*c + 289*c - 545*c + c - 2*c - c - 3*c - 2*c + 3*c + (6*c - 3*c - c)*(0 + 0 - 2).
-797*c
Expand (-3 - 4 + 2)*(3 - 5 + 3)*(-8*h - 5*h**3 + 8*h).
25*h**3
Expand (-22*p + 95*p + 127*p)*(-3*p + 3*p - 2*p**2) + p**2 + p**3 - p**2.
-399*p**3
Expand (7*p**2 + 7*p**2 - 8*p**2)*(p - 3*p + p + (2 - 1 - 2)*(p - 2*p + 0*p) + 4*p - p - p).
12*p**3
Expand (-1 + 2 + 4)*(-2*y + 2*y - 3*y + (1 - 3 + 1)*(-2 + 2 - 2*y)).
-5*y
Expand (7*q + 5*q + q + (3 - 7 + 3)*(-3*q + 2*q + 2*q))*(2 - 1 + 0).
12*q
Expand 371*c - 192*c - 180*c - 5 + (2 - 4 + 3)*(0*c - 4*c + 3*c).
-2*c - 5
Expand -3*n**3 + 0*n**3 + 4*n**3 + (0*n**2 - 3*n**2 + 4*n**2)*(-68 + 41 + 34)*(n + 2*n - 5*n).
-13*n**3
Expand (-4*r - 3*r + 5*r)*(4*r**4 - 6*r**4 + 4*r**4) - 7*r**5 - 7*r**5 + 5*r**5 + (-4*r**4 + 5*r**4 - 3*r**4)*(-r + 4*r + 0*r) + 5 - 2*r**5 - 5.
-21*r**5
Expand (0 - 6 - 6)*((-y**2 + 2*y**2 + 0*y**2)*(4*y - 5*y + 3*y) + 8*y**3 + 5*y - 5*y).
-120*y**3
Expand ((4 + 1 - 4)*(2 + 2*k - 2) + 1 - 1 - k + 3*k - k - 4*k)*(4*k**3 + 4*k**3 + 12*k**3).
-20*k**4
Expand (-3*r + 4*r - 2*r)*(-r**2 + 2*r**3 + r**2) - 3*r**4 + 4*r**4 - 3*r**4 + (-5*r**2 + 2*r**2 + 4*r**2)*(3*r - 25 + 25)*(-2*r - 3*r + 3*r).
-10*r**4
Expand -2*a**4 - a**4 + 4*a**4 + (15*a**3 - 7*a**3 + 7*a**3)*(-1 + a + 1) + 4*a**4 - 6*a**4 + a**4.
15*a**4
Expand -2*f**4 + 4*f**4 - 4*f**4 + 0 + 0 + f**4 + (f - 2*f + 2*f)*(f**3 + 3*f**3 - 2*f**3) - 1201 + 62*f**4 + 1201.
63*f**4
Expand 2*i - 4*i + 3*i + (-2 - 1 + 1)*(42 - 50 + 27)*(-4 + 5 - 4)*(0*i - i + 2*i).
115*i
Expand ((4*m**3 + 2*m**3 - 5*m**3)*(3 - 3 - 2) - m**3 - m**3 + 0*m**3)*((1 - 3 + 1)*(-2 + 5 - 5) - 22 - 55 + 0).
300*m**3
Expand ((-1 + 2 + 4)*(3 + 4 - 5)*(-4 - 1 + 4) + 4 - 3 - 3)*(-5*k**4 + 9*k**2 - 9*k**2).
60*k**4
Expand (3 + 5 - 4)*(-1 - 4 + 2)*(3 + 0 - 1)*(12*g - 4 + 4 + 3*g + g - 5*g + (g + 0*g + g)*(1 + 1 + 0) + 3 + 3*g - 3).
-432*g
Expand (-186 + 94*j**4 + 186)*(-3 - 6*j + 1 + 3*j).
-282*j**5 - 188*j**4
Expand (181 - 233 - 325)*(2*g**2 + g**2 - 6*g**2).
1131*g**2
Expand -7*c - c**2 + 7*c + (3*c - 3*c - c)*(-4 + 4 - 2*c) - 2*c**2 + 0*c**2 + 4*c**2 - 2*c**2 + 2*c**2 + c**2 + (-3*c + 5 - 5)*(-3 + 3 + 2*c).
-2*c**2
Expand (-121 - 227 + 100)*(0*r + 0*r - 4*r).
992*r
Expand (21 - 19 + 41)*(-3*b**5 - b**5 + 6*b**5)*(-1 + 0 + 0).
-86*b**5
Expand (2 - 2 + 2)*(-46*n + 46*n - 2*n**3 + 28).
-4*n**3 + 56
Expand (3 + 5 + 1)*(3*f - 7*f - 3*f)*(12*f**4 + 3 + 0 - 5).
-756*f**5 + 126*f
Expand -487*h**3 + 48*h**4 + 487*h**3 + (2*h + 2*h - 3*h)*(h**3 + 5*h**3 + h**3).
55*h**4
Expand (2*s**2 - 3*s - 1038 - 1044 + 2117)*(s - s + s).
2*s**3 - 3*s**2 + 35*s
Expand -63*w**3 + 6*w**4 + 63*w**3 + w + (2*w**2 - w**2 - 2*w**2)*(0*w**2 - 3*w**2 + 2*w**2).
7*w**4 + w
Expand (q - 10*q + 3*q + (-95 + 95 - 12*q)*(0 + 0 + 2))*(2 + 0 - 1).
-30*q
Expand 0 + 0 + 2*a**5 - a**5 + 6*a**5 - 4*a**5 + 0*a**5 - 2*a**5 + 4*a**5 + (0*a**3 + a**3 - 3*a**3)*(2*a**2 + a**2 - 5*a**2) - 1116*a**4 + 1116*a**4 - 14*a**5.
-5*a**5
Expand -53732*z**2 + 53728*z**2 + 10*z**3 + 108*z**3 + 0 + z**3 + 0 + (2*z**2 + 2 - 2)*(-2*z + 2*z + 2*z).
123*z**3 - 4*z**2
Expand -2*m**2 + 2*m**2 - m**3 + (-6*m + 2*m + 8*m)*(-2*m + 2*m**2 + 2*m) + (-m**2 + 6*m**2 - 3*m**2)*(0 - 3 + 0)*(0*m + 3*m - 4*m).
13*m**3
Expand 0*x**3 + 3 - 2*x**3 - 4 + (11*x**2 + 23*x**2 - 8*x**2)*(0 + 2*x + 0).
50*x**3 - 1
Expand 2*h**3 - 2*h**5 - 2*h**3 + (2*h - h**2 - 2*h)*(3*h**3 - 2*h**3 + 3*h**3) - 9*h**5 + 1 - 1 + (2*h**4 - 3*h**4 - h**4)*(3 - 3 - h) + 2*h**5 + 1 - 1.
-11*h**5
Expand (2 - 2 - 3*h)*(3*h**2 + 0 + 0) + 10*h**2 - 2061 + 2*h**3 + 2061.
-7*h**3 + 10*h**2
Expand 5541*f - 5541*f - 52*f**2 + (2*f + 0 + 0)*(f + 0 + 0).
-50*f**2
Expand (-2*b + 10*b - b)*(-4*b**2 + 8*b**4 - 15*b**4 - 4*b**3 + 9*b**4).
14*b**5 - 28*b**4 - 28*b**3
Expand (6*j - 6 + 6 - 2*j + 3*j - 2*j - 224 + 224 - 42*j + (1 - 2 + 2)*(j - 2 + 2))*(3 - 2*j**2 - 3).
72*j**3
Expand (w + 0*w + w + (-2 + 2 + 2)*(17*w + 45*w - 87*w) + w + w - 4*w)*(5*w - 3*w - w).
-50*w**2
Expand (-4*w**3 - w**3 + 4*w**3)*(382*w**2 - 115*w**2 - 191*w**2).
-76*w**5
Expand (v**3 + 3*v**3 - 2*v**3)*(-4*v + 2*v - 3*v)*(0*v - 4*v + 6*v) + (3*v**2 - v**2 + 0*v**2)*(2*v - 2*v - 3*v**3).
-26*v**5
Expand (-2*z**4 + 5*z**2 - 5*z**2)*(2*z - 4*z + 0*z) + (-2 - z**2 + 2)*(216*z**3 + 70*z**3 - 23*z**3).
-259*z**5
Expand (0*w + 3*w - 4*w)*(43 + 18 - 12).
-49*w
Expand (2 - 4 + 4)*(-127*o + 52*o - 112*o).
-374*o
Expand -34*q + 4*q**2 + 34*q + (-2 + 3 - 3)*(-6 - 6*q + 6)*(-q - q + q).
-8*q**2
Expand (-5*q + 3*q - 1 - 1)*(46*q**2 + 6*q**2 - 26*q**2) + (-1 - 3*q + 1)*(-5*q**2 + 2*q**2 + 2*q**2).
-49*q**3 - 52*q**2
Expand (-3 - 46 + 1)*(-y + 3*y + 0*y)*(-6*y + 3*y + 2*y).
96*y**2
Expand (-4*p**2 + 3*p**2 + 0*p**2)*((1 - 3 + 1)*(1 + 0 + 0) - 3 + 0 + 1) + (3*p + 3*p - 4*p)*(p + 1 - 1).
5*p**2
Expand (35*y**4 - 13*y - 7*y - 28*y**4)*(-3*y + 0*y + 4*y).
7*y**5 - 20*y**2
Expand (150 - 150 + 46*j)*(0 + 0 - 2*j**3 + (-j**3 - 1 + 1)*(-1 + 0 + 2) + 3*j**3 - j**3 + 2*j**3 + 6*j**3 - 12*j + 12*j).
322*j**4
Expand -m + 5*m**5 + m - 8*m**5 + 2*m**5 - 3*m**5 + (5*m**2 - 3*m**2 - 3*m**2)*(3*m**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
0800 divided by 16800.
-9281
Calculate 4594660 divided by -2590.
-1774
Calculate -17825324 divided by -82.
217382
What is -207381126 divided by 2?
-103690563
What is 2 divided by 78175195?
2/78175195
Calculate 8508000 divided by 11344.
750
Divide -1171387 by -64.
1171387/64
Divide -50062767 by -16687589.
3
Divide 5926 by 1701.
5926/1701
-13 divided by 6153328
-13/6153328
Divide -40713 by -64.
40713/64
Calculate 28629620 divided by -1.
-28629620
What is 176197 divided by 9?
176197/9
-2691934 divided by 826
-3259
Calculate 8958353 divided by -2.
-8958353/2
What is -80265765 divided by -433869?
185
-152 divided by -1009718
76/504859
567121812 divided by -64644
-8773
Calculate -3 divided by -38333946.
1/12777982
Calculate -258 divided by -260370.
43/43395
Divide 71 by -175057.
-71/175057
What is -1288 divided by 18699?
-56/813
34 divided by 40408
17/20204
Divide 4120875 by -374625.
-11
What is -6852 divided by -5047?
6852/5047
-499386316 divided by -1239172
403
-5 divided by 18386316
-5/18386316
-401 divided by 515602
-401/515602
Divide 0 by -2448258.
0
Calculate 111905874 divided by 3.
37301958
Divide -35507063 by 6.
-35507063/6
81414822 divided by -21081
-3862
110202624 divided by -63
-1749248
Divide -5229 by 518.
-747/74
Calculate -19945894 divided by 5074.
-3931
Calculate 516563586 divided by -1171346.
-441
Calculate -184391165 divided by 5.
-36878233
-326717053 divided by 2
-326717053/2
Calculate -4 divided by -23367679.
4/23367679
What is -1 divided by -13793478?
1/13793478
-32439 divided by 1015
-32439/1015
Divide 40811258 by -8563.
-4766
What is -6529133 divided by -359?
18187
-2 divided by -80576442
1/40288221
Divide 1293 by -1235230.
-1293/1235230
-7717 divided by 9445
-7717/9445
What is 58085972 divided by -4148998?
-14
-5 divided by -13582968
5/13582968
Calculate 16 divided by -286673.
-16/286673
Calculate -79329529 divided by -1.
79329529
Divide 60 by 2688121.
60/2688121
What is 103230246 divided by -2?
-51615123
2 divided by -131597687
-2/131597687
Calculate 46347250 divided by -5.
-9269450
Divide -711414 by -33.
21558
Divide -13631415 by -591.
23065
Divide -224 by 71913.
-224/71913
Calculate -18540387 divided by 66453.
-279
Divide -11 by -94122.
11/94122
Calculate -4 divided by 116577.
-4/116577
What is -7695070 divided by -5?
1539014
-174874644 divided by -5799
30156
Divide 41 by 1750916.
41/1750916
What is -1661 divided by -369368?
1661/369368
What is 86197745 divided by 17239549?
5
Calculate 3624 divided by -1404.
-302/117
What is 8888 divided by 6757?
8888/6757
Calculate 150 divided by -11269.
-150/11269
Calculate 5 divided by -2865257.
-5/2865257
Calculate -63 divided by 7935513.
-21/2645171
Calculate -2 divided by -166911980.
1/83455990
Divide -3070990 by -26.
118115
Calculate -4259016 divided by -28584.
149
Divide -27971294 by 134.
-208741
Divide 515359550 by 5.
103071910
Divide -1056354090 by -2.
528177045
Divide -111985545 by -15.
7465703
Calculate -21880 divided by 9.
-21880/9
Calculate -670571 divided by -111.
670571/111
Calculate 63143359 divided by 5.
63143359/5
187563330 divided by 45
4168074
Divide -6 by -8194365.
2/2731455
What is -672 divided by 976?
-42/61
What is 4 divided by -2028787?
-4/2028787
Calculate 399667422 divided by 42.
9515891
71943300 divided by 27885
2580
-200724 divided by -6
33454
Divide -417917554 by -6.
208958777/3
What is 65158290 divided by 3619905?
18
Divide -14448420 by -11467.
1260
-1 divided by 12266383
-1/12266383
Divide -154180887 by -1369.
112623
Divide 7 by 1479237.
7/1479237
What is 1670 divided by -2437?
-1670/2437
Divide 55418885 by -2.
-55418885/2
Calculate -5 divided by 80805.
-1/16161
What is -10435 divided by -2087?
5
Divide -16982434 by -6.
8491217/3
Divide 4282026 by -16597.
-258
Divide -2 by -133840120.
1/66920060
Divide 72582154 by 118.
615103
16603016 divided by -4
-4150754
What is 698386217 divided by -113?
-6180409
Calculate -220851403 divided by -15671.
14093
Divide -4 by 28969487.
-4/28969487
Calculate -580910022 divided by -193636674.
3
Calculate 35 divided by 12032627.
35/12032627
-446419364 divided by 23066
-19354
Calculate 345672574 divided by -13295099.
-26
What is -4 divided by -61212999?
4/61212999
Calculate 18417987 divided by -6.
-6139329/2
Calculate 312790 divided by -147.
-312790/147
What is -38020914 divided by -2112273?
18
Calculate 15251 divided by -736.
-15251/736
Divide 42308 by -513.
-42308/513
Calculate 160545664 divided by 2169536.
74
What is 4208673 divided by 7?
601239
What is -105133237 divided by -9557567?
11
Divide 5511 by 6851.
5511/6851
Divide -11033424 by -919452.
12
Calculate -62757030 divided by -1230530.
51
What is -6127739 divided by 3?
-6127739/3
Calculate -43547292 divided by 14515764.
-3
Calculate -8500838 divided by -4250419.
2
What is 10 divided by -1035570?
-1/103557
12 divided by 71346446
6/35673223
Divide -6 by 1645278.
-1/274213
What is 21724 divided by -53?
-21724/53
What is -11865 divided by 1073?
-11865/1073
Divide -31 by -30585.
31/30585
Divide -45851701 by -49.
935749
13 divided by -5256951
-13/5256951
1 divided by 12148415
1/12148415
Calculate 3 divided by -40442862.
-1/13480954
What is 367078551 divided by -3?
-122359517
Divide -7848 by -3460.
1962/865
8877773 divided by 23
8877773/23
Divide -286664502 by -2077279.
138
What is 16689708 divided by 27006?
618
Divide 495154 by -206.
-247577/103
264329471 divided by 5
264329471/5
Divide -1006677222 by 3.
-335559074
-474 divided by 67466
-3/427
Divide -192874546 by -2.
96437273
What is 31666086 divided by 277?
114318
13021274 divided by -13
-13021274/13
Calculate -71722 divided by -1526.
47
Divide 174270274 by 174270274.
1
-540960 divided by 11760
-46
Calculate 3299659 divided by -3299659.
-1
What is 5772592 divided by -28?
-206164
What is -707708 divided by -166?
353854/83
-13047 divided by -782
13047/782
Divide 60 by -2170823.
-60/2170823
-1303776 divided by 379
-1303776/379
Divide 68492628 by 27.
2536764
Divide -457248 by 28578.
-16
Divide 34658679 by 5.
34658679/5
Divide 18519831 by 3.
6173277
Calculate -13836240 divided by 864765.
-16
What is 98519400 divided by -27925?
-3528
-24935805 divided by -8311935
3
Calculate -48204379 divided by -1.
48204379
Divide 14 by 2803755.
14/2803755
What is 31244132 divided by 10298?
3034
-21126126 divided by 1
-21126126
-59 divided by -15520
59/15520
Divide 1141324000 by 11413240.
100
What is -3830920 divided by -20?
191546
Calculate -15859 divided by 1615.
-15859/1615
-148256 divided by 52
-37064/13
Divide 144709616 by 5.
144709616/5
Calculate 18402194 divided by -18402194.
-1
What is -36149407 divided by -2?
36149407/2
Calculate 9671808 divided by 3.
3223936
What is -5678 divided by -171?
5678/171
What is -80426573 divided by 5?
-80426573/5
What is -33420987 divided by -3?
11140329
Calculate 16917061 divided by 3.
16917061/3
What is 2 divided by 3156503?
2/3156503
Calculate 331243536 divided by -2123356.
-156
Calculate -50 divided by 47484.
-25/23742
What is 5 divided by 14087385?
1/2817477
Divide 1860 by 30955.
372/6191
7850234 divided by 1301
6034
Divide 22452093 by -7484031.
-3
What is -3195800 divided by -1?
3195800
Divide 464845125 by -6197935.
-75
What is 51560310 divided by 3?
17186770
144334500 divided by -50
-2886690
What is 68883945 divided by -5?
-13776789
Calculate 5 divided by -3695098.
-5/3695098
Calculate 265571 divided by -32.
-265571/32
Divide -1571555 by 32.
-1571555/32
-1604413 divided by 5
-1604413/5
Calculate -1675 divided by 47786.
-1675/47786
3 divided by -3733222
-3/3733222
What is -45 divided by 113566?
-45/113566
Calculate -89753260 divided by -17950652.
5
Calculate 12662865 divided by 844191.
15
What is 1 divided by 83287039?
1/83287039
Calculate -276 divided by 72916.
-69/18229
What is -17171490 divided by 490614?
-35
What is -102 divided by -14373?
34/4791
Divide 44494867 by 9.
44494867/9
Divide -7964147 by 28.
-7964147/28
Divide -22700649 by -31.
732279
526 divided by -10838
-263/5419
What is 10 divided by 11772307?
10/11772307
Calculate 2222405 divided by -5.
-444481
What is -56941047 divided by -9?
6326783
What is 2 divided by 55288062?
1/27644031
-77103910 divided by -130
593107
What is 96 divided by 611482?
48/305741
What is 15272545 divided by -3054509?
-5
What is 20832399 divided by -425151?
-49
Di
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 3*l*t - 5*l + 7*t**5 wrt t.
-2*a*l - 2*a + 140*t**3
Find the second derivative of 2*l*p**3 - 70*l*p**2 - 24*l*p + 14*l + 9*p**3 wrt p.
12*l*p - 140*l + 54*p
What is the second derivative of -4*u**5 - 31*u**2 + u + 117 wrt u?
-80*u**3 - 62
Find the third derivative of 2*d**2*u**4 - 4*d**2*u**2 + 69*d**2 - 1357*u**4 wrt u.
48*d**2*u - 32568*u
What is the second derivative of 685*o**3 + 8*o - 14 wrt o?
4110*o
Find the third derivative of -254*i**4*w**2 + 65*i**2*w - 3*i*w**2 + 1 wrt i.
-6096*i*w**2
What is the first derivative of -281*v**2*w - v*w**2 + 548*w**2 wrt v?
-562*v*w - w**2
Find the third derivative of 31353*q**3 - 84*q**2 - 3*q + 3 wrt q.
188118
Find the first derivative of 75*r - 45.
75
Find the third derivative of -818*x**3 - 27*x**2 - 8*x.
-4908
What is the third derivative of -1418*j**4 - 8*j**2 - 82*j?
-34032*j
What is the second derivative of 7604*s**2 - 64*s - 25?
15208
Find the second derivative of 1751*o**2*t**2 - 4*o**2*t + 2*o**2 - 35*o*t wrt t.
3502*o**2
What is the third derivative of -32*u**5 - u**3 + 10*u**2 - 13 wrt u?
-1920*u**2 - 6
Find the second derivative of -6579*f**5 - 2*f**2 - 4858*f.
-131580*f**3 - 4
Find the first derivative of -8*a**2*b**2 + 329*a**2*b*g - 29*a**2 - a*g + 2*b**2*g wrt g.
329*a**2*b - a + 2*b**2
What is the third derivative of -215*u**3 - 132*u**2?
-1290
Find the first derivative of 10*p*v**2 - p - v**2 - 9*v + 32 wrt v.
20*p*v - 2*v - 9
Find the second derivative of -68*u**5 - 3*u**4 - 18*u - 5.
-1360*u**3 - 36*u**2
What is the third derivative of -26*g**3*u**3*x + g**3*u*x**3 - 13*g**2*u**3*x**3 - 2*g**2*x**2 + 4*g*u**2*x**3 wrt g?
-156*u**3*x + 6*u*x**3
Find the second derivative of 4*p**5 - 67*p**2*v - 80*p*v - 5*p wrt p.
80*p**3 - 134*v
What is the derivative of -17*h**3*t + 582*h**3 - 2*h**2*t**3 wrt t?
-17*h**3 - 6*h**2*t**2
Find the third derivative of 35*g**3*s - 27*g**3 - 130*g**2*s - 3*s - 3 wrt g.
210*s - 162
Differentiate 14*b*p**3*z - 61*b*p**3 + b*p**2*z + 2*p**3 - 2*p**2*z**2 + 3*p with respect to z.
14*b*p**3 + b*p**2 - 4*p**2*z
Find the third derivative of -4350*b**3*z + 3*b**3 - 4*b**2*z + b**2 + 12*b*z - 2*b wrt b.
-26100*z + 18
Find the third derivative of 7*b*k*n**2*x + 2*b*k*x**3 + 5*b*n*x**2 + 2*k*n**2*x**4 - k*n*x**2 + 3*k*n*x - 578*k*x**3 wrt x.
12*b*k + 48*k*n**2*x - 3468*k
What is the derivative of 1796*p**4 + 14438?
7184*p**3
What is the second derivative of 2*m*p**4 + 31*m*p**2 - 4*m*p - 2*m - p**2 - 2*p wrt p?
24*m*p**2 + 62*m - 2
What is the second derivative of 484*t**3*u**2 - 2*t**3*u - 3*t**2 - 116*t*u - 83*u**2 wrt t?
2904*t*u**2 - 12*t*u - 6
Find the second derivative of -36*k*l**2 - 8*k*l - 5*l**2 + 15*l + 1 wrt l.
-72*k - 10
Differentiate -m**4 + 43*m**2 + 167 wrt m.
-4*m**3 + 86*m
Find the third derivative of -d*h**5*j + 19*d*h**4*j - 21*d*h**2*j - 2*d*h**2 + d*h*j wrt h.
-60*d*h**2*j + 456*d*h*j
Find the second derivative of -c**3*t**3 + 2*c**3 - 12*c**2*t**3 - 2*c*t**2 - 3*t**3 - 1 wrt c.
-6*c*t**3 + 12*c - 24*t**3
Find the second derivative of 2*y**5 - 828*y.
40*y**3
What is the second derivative of 3*a**3*s**3 - 127*a**3*s**2 - 46*a**3*s - 10*a**3 wrt s?
18*a**3*s - 254*a**3
What is the first derivative of -2*f**3*o**2 - 2*f**3 - 4*f*o**2 + o + 179 wrt o?
-4*f**3*o - 8*f*o + 1
What is the first derivative of -h**3*m**3 - 21*h**3 - 19*m**3 - 2*m**2 wrt h?
-3*h**2*m**3 - 63*h**2
Find the second derivative of 2*m**2*s**3 + 140*m**2*s + 16*m*s**4 wrt s.
12*m**2*s + 192*m*s**2
What is the first derivative of 2*b*i*p*u + 3*b*i*u - 2*b*p*u + 3*b*p - 6*b*u - 2*b + 25*i wrt u?
2*b*i*p + 3*b*i - 2*b*p - 6*b
Differentiate 8619*p + 11984 with respect to p.
8619
What is the third derivative of 54*a*r**4 - 17*a*r**2 + 5*a + r**4 + r**2 wrt r?
1296*a*r + 24*r
Find the second derivative of -693*h**5 - h + 200 wrt h.
-13860*h**3
What is the third derivative of -k**5 + 6*k**3*x**2 + k**2*x**2 + 2*k**2 - 11*x**2 wrt k?
-60*k**2 + 36*x**2
What is the second derivative of g**5 + 532*g**2*m + 49*g*m + 4*g wrt g?
20*g**3 + 1064*m
Find the third derivative of 437*g**4 - 2*g**3 + 1913*g**2.
10488*g - 12
Find the third derivative of -783*w**5 + w**2 + 584.
-46980*w**2
Find the first derivative of -1635*a**3 - 4*a**2 - 14307.
-4905*a**2 - 8*a
Find the second derivative of v**3 + 1132*v**2 + 261*v - 5.
6*v + 2264
Differentiate 414*m**4 + 8 with respect to m.
1656*m**3
What is the derivative of 222*f - 369 wrt f?
222
Find the third derivative of 5*f**3*z**2 - 9*f**3*z + 32*f**3 - 2*f**2*z**2 - 71*f**2*z + z**2 wrt f.
30*z**2 - 54*z + 192
What is the third derivative of 105*s**6 + 21*s**2 - 4*s wrt s?
12600*s**3
What is the second derivative of 3703*x**5 - 45*x - 21 wrt x?
74060*x**3
What is the second derivative of 350*j**2*p*s**3 + 3*j**2*p - j*p*s**3 - 5*j*p - 2*j*s**3 + 3*s**2 wrt j?
700*p*s**3 + 6*p
Find the first derivative of -222*m**4 + 39.
-888*m**3
What is the third derivative of 4*a**4*g - 2*a**4 - 193*a**3*g + 3*a**2 + 2*g + 446 wrt a?
96*a*g - 48*a - 1158*g
Differentiate -2*c**3*g*q + 1830*c**3*q*x + 2*c**3*q - 148*c**2*g*q - 2*g*x wrt x.
1830*c**3*q - 2*g
What is the second derivative of 4975*z**5 - 33*z + 294 wrt z?
99500*z**3
What is the second derivative of -2858*o**5 + 11677*o?
-57160*o**3
Find the second derivative of g**2*q**3*u**2*v**3 + 170*g**2*q**3 - 55*g*q**3*u**2*v - 2*g*q**3*u**2 + g*q**3*v**3 - q*u**2*v**3 wrt g.
2*q**3*u**2*v**3 + 340*q**3
Find the third derivative of -236*f**6 - 105*f**2.
-28320*f**3
What is the first derivative of 2*c*i**3 - 13*c - 4*i**3 - i**2 + 784*i - 267 wrt i?
6*c*i**2 - 12*i**2 - 2*i + 784
What is the derivative of -720*g**4 + 585 wrt g?
-2880*g**3
Find the third derivative of c**3*f**3*m + 6*c**3*f**3 - 3*c**3*f**2*m + c**3 + f**3*m**2 - 2*m**2 wrt f.
6*c**3*m + 36*c**3 + 6*m**2
Differentiate 6308*o**4 - 9182 with respect to o.
25232*o**3
Find the third derivative of -94*d**3*x**2 - 4*d**2*x - d - x**2 wrt d.
-564*x**2
What is the first derivative of -428*y + 2995 wrt y?
-428
What is the derivative of 23*q**2*t**2 - 2*q**2*t - 22*q**2 + 2*q*t**2 - 1 wrt t?
46*q**2*t - 2*q**2 + 4*q*t
Find the third derivative of 14*b*u**6 + 5*b*u**5 + 8*b*u**2 - 16*b*u wrt u.
1680*b*u**3 + 300*b*u**2
Find the second derivative of 3*d**3*u**2 + 294*d**3*u + 2*d**3 + 4*d*u - 427*u**4 wrt u.
6*d**3 - 5124*u**2
Find the third derivative of -2*h**2*s**3 + h**2*s**2 - 81*h*s**3 + 39*h*s**2 + 3*h + 2*s**3 wrt s.
-12*h**2 - 486*h + 12
Find the first derivative of 307*m + 264 wrt m.
307
Find the third derivative of 7884*l**4 + 28*l**2 - 8*l - 2 wrt l.
189216*l
What is the second derivative of -29*f**3*z - 2*f**3 - 25*f*z + 2*f wrt f?
-174*f*z - 12*f
What is the first derivative of 46*f + 176 wrt f?
46
What is the second derivative of 2589*t**2 - 2025*t - 1?
5178
What is the second derivative of -2*a*c**3*i**2 + 71*a*c**3 + 2*a*c**2*i + 3*a*c*i - a*c + 23*a*i**2 + 3*c**3*i**2 wrt i?
-4*a*c**3 + 46*a + 6*c**3
Find the third derivative of 203*b**3 + 159*b**2.
1218
Find the third derivative of -23*y**6 + 3*y**3 + 295*y**2 - y.
-2760*y**3 + 18
What is the second derivative of 4*t**5 + 3*t**4 + 91*t wrt t?
80*t**3 + 36*t**2
What is the derivative of -7*i*w**2 - 12*i*w*z**3 + i*z**3 - w**2*z**3 + 83*z**3 - z wrt w?
-14*i*w - 12*i*z**3 - 2*w*z**3
What is the second derivative of -12366*d*t**2 - 269*d*t - 1 wrt t?
-24732*d
Differentiate 1290*x**4 + 126.
5160*x**3
Find the second derivative of 132*f**3*h**2*s**2 - 11*f**3*h**2*s + 3*f**3*h - f**2*h**2*s**2 - 16*h**2*s + 1 wrt s.
264*f**3*h**2 - 2*f**2*h**2
Find the third derivative of -4979*w**4 + 627*w**2 + 6*w.
-119496*w
What is the first derivative of -5630*i - 763?
-5630
Find the first derivative of 6*g*w*z - g*w + g*z - 2*w*z - 3*z + 10 wrt w.
6*g*z - g - 2*z
What is the second derivative of -461*b**4 - b**2 - 16*b - 8?
-5532*b**2 - 2
Find the second derivative of -36*a**3*j*x - 2*a**3*x**2 + 12*a**2*x**3 - 9*a*j*x**2 + 8*j*x wrt x.
-4*a**3 + 72*a**2*x - 18*a*j
What is the third derivative of -6407*h**6 + 5357*h**2?
-768840*h**3
What is the third derivative of -77*x**3 - 131*x**2 wrt x?
-462
What is the first derivative of x**4 - 60*x**3 - 2349 wrt x?
4*x**3 - 180*x**2
Find the second derivative of -734*f**3 - 2*f**2 + 2723*f wrt f.
-4404*f - 4
What is the third derivative of -2*d**2*h*z**2 - 77*
|
{
"pile_set_name": "DM Mathematics"
}
|
?
t
Let b = 0 - -0.1. Let t = -0.1 + b. Let v = -1 + t. Which is smaller: -0.3 or v?
v
Let w = -367 + 374.04. Let g = w + -0.04. Let h = 5 - g. Is 2/9 <= h?
False
Let o be 4 + 2/1*-1. Let d be ((-12)/99)/(o/9). Suppose 3*g + 12 - 6 = 2*i, g = -4*i - 2. Do d and g have the same value?
False
Let s = 7.1 + -7. Let a = -1.1 + s. Which is greater: 1 or a?
1
Let n be (-2 - (-24)/14)/(-1). Suppose -2*q + 2 = 4. Do n and q have the same value?
False
Let r = -275 - -1921/7. Is -1 < r?
True
Let o be -1 + 2 - (-16)/(-18). Let z(t) = -t**2 + 5*t - 3. Let v be z(4). Is o > v?
False
Let k = 1025 + -729. Let l be 238/k + 6/(-8). Does 0 = l?
False
Suppose -w + 5*k + 29 = 0, -2*k = -3*w + k + 27. Suppose -3*u + h - 23 = -h, -w*u - 28 = -2*h. Which is bigger: u or -4?
-4
Let p = 123 + -124. Let f = 0 - -3. Suppose 2*l + 4 = -r - 3, 0 = 4*l + f*r + 17. Is l < p?
True
Let o(u) = u**2 + 3*u - 9. Let d be o(-5). Is -1/2 at least d?
False
Let h(g) = 4*g - 1. Let q be h(1). Is 5 at most q?
False
Let q be 1/1*53*-1. Let z = -207/4 - q. Which is greater: 1 or z?
z
Let h be (-2)/(-6) - (-6)/(-18). Let m = 4 + 0. Suppose 0 = -h*u + m*u. Is -1 at most as big as u?
True
Suppose 3*d + 51 - 16 = 4*b, 3*d - 13 = -2*b. Which is smaller: 1 or b?
1
Suppose 0 = 3*f + 7 + 2. Let b be ((-1)/f)/(5/45). Suppose g + b + 3 = -2*v, -5*v - 15 = -4*g. Are 2/9 and g nonequal?
True
Let j be (-2 + 4)/(-1)*-1. Suppose -5*t + 10 + 9 = -p, -12 = 3*p. Which is bigger: j or t?
t
Suppose -4*v = -v. Let h be (0 - 1) + (1 - 126). Let l be 35/h - 1/(-2). Which is smaller: l or v?
v
Let g(y) = y**2 + 10*y + 10. Let f be g(-10). Is 10 not equal to f?
False
Let q be 1/3 - 8/6. Let d = -322/9 + 36. Are d and q unequal?
True
Let i be (-1 - -2)*1*-1. Suppose 2*k = -4*q - 3*k - 23, -3*q - 3*k = 15. Which is smaller: i or q?
q
Let m = -8/19 + -139/76. Which is greater: -3 or m?
m
Let r be 80/(-35) - 2/(-7). Let w be (-6)/(-8)*4/(-6). Is r <= w?
True
Suppose 5*x - 3 = -4*o - 7, 0 = 5*x. Let c be 3 - 34/10 - 43/(-70). Which is smaller: c or o?
o
Let m = -1.6 - -0.95. Which is bigger: 0 or m?
0
Let c = -19.4 + 19. Let s = 2.4 + c. Let n be -4 + (0/(-1) - -2). Is s less than n?
False
Let u be (2 - 3) + 2 + -2. Let c be ((-3)/426 + 0)*-4. Which is bigger: c or u?
c
Let k = -7 - -3. Let a = k - -4. Let f = -1.1 - -3.1. Is f at most as big as a?
False
Let s = -96 + 96. Let a = 40719/43 + -947. Does s = a?
False
Suppose 5*p = -13*u + 18*u + 10, 0 = 3*u + 9. Let o be (3/14)/((-1)/8). Which is greater: p or o?
p
Suppose -2*i + i + 2 = 0. Suppose -3*c = -r - 1, 5*c - i*r = c. Let a = -3 + c. Are -4/7 and a nonequal?
True
Let s = -1.2 - -1.1. Let x(v) = v - 3. Let h be x(2). Is h at most s?
True
Suppose c - 5 = 2*c. Is c >= -2?
False
Let g(s) = 34*s - 1. Let z be g(1). Let r = -269 - -709/3. Let p = z + r. Is p at most -1?
False
Let d be (-7)/(-5) + (-2)/5. Let k be (-222)/(-966) + 1/(-7). Are k and d non-equal?
True
Let v be (-6)/4*(-4)/(-6). Let t be (-127)/(-3) + 1/(-3). Let i = -209/5 + t. Is v bigger than i?
False
Let w = -7 - -9. Let b = w - 2. Suppose 0 = z - 2*z + 1. Is b greater than or equal to z?
False
Suppose 3*w + 4 = 1. Which is greater: w or -1/5?
-1/5
Let w be (-3)/(3/(-142))*10/(-60). Does -24 = w?
False
Let c = -2.411 + 0.011. Is 0.2 at most as big as c?
False
Let i be (-2)/(-10) + 129/5. Let o = i - 16. Let u be -5*(-14)/o*1. Is u less than or equal to 7?
True
Suppose 2*z - 2*u + 2 = 0, 2*u - 3*u = -1. Let c be (z + 2 - 3)*1. Let p be c*(3 + 3 + -6). Which is smaller: p or -2/13?
-2/13
Let l be -2 + 0 + -3 + 4. Let j be l + 3/(6/4). Which is greater: j or 4/11?
j
Suppose 3*i - 8 = 11*i. Let s = -2 + 1. Is i greater than or equal to s?
True
Let o(m) = m**2 + 11*m - 3. Let b be o(-10). Let w = b - -10. Is -5 greater than w?
False
Let r(q) = 10*q**2 - 1. Let v be r(1). Suppose 0 = 5*o - i - v, -16 = -3*o - o + 3*i. Are o and 1/10 equal?
False
Let s = 144 + -144. Let x = -2.94 + 0.04. Let v = x - -3. Does s = v?
False
Let h(o) = 2*o**2 - o + 1. Let m be h(1). Suppose -1 + m = c. Let q(f) = -f**3 + 14*f**2 + 2. Let l be q(14). Which is smaller: l or c?
c
Let s be ((-36)/7)/(8/(-56)). Is -0.1 equal to s?
False
Let l(r) = -9*r**2 - 30*r - 28. Let a(b) = -5*b**2 - 15*b - 14. Let n(x) = 7*a(x) - 4*l(x). Let j be n(-14). Is j less than 2/7?
True
Suppose -3*o = -o - 24. Let i be (o/21)/(6/28). Are 2 and i non-equal?
True
Let q be (1 - 0) + (-14)/7. Let c = 5 - q. Which is smaller: 5 or c?
5
Let z(v) = -v**3 + 7*v**2 - 6*v - 1. Let m be z(6). Let j be (3/(-9))/m*1. Which is smaller: 1 or j?
j
Let q = 1 - -2. Let i be -2 + 4 + 0/2. Is i at least as big as q?
False
Let j be 3/(-9) - (-13)/3. Suppose 5*g - 2*c - 7 = 3, 4*g = 4*c - j. Which is greater: g or 2?
g
Let c = 9 - 11. Let p = c + 2.1. Let y be ((-6)/(-7))/3 + 0. Is p at least y?
False
Let d be 73/260 - 3/12. Is d at least 1?
False
Let l be (2 - 2)*2/6. Suppose -3*y = -l*y - 3. Which is smaller: 3 or y?
y
Let i = 0.14 + 0.04. Is i < 1?
True
Suppose 0 = -6*v + 45 + 33. Let t be (-6)/(-18) + (-5)/v. Which is smaller: t or -1?
-1
Let b be (2 - 5/2)*0. Is b not equal to 6/11?
True
Suppose -4*y + 3*y = -3*a + 2, -3*y - 6 = 5*a. Let o = -0.7 + 0.4. Let m = o + 0.2. Is y at most as big as m?
True
Let j be (-2812)/95*5/(-2). Which is smaller: j or 72?
72
Let y be 372/552 - (-2)/(-2). Let s = y + -4/23. Is s != -2?
True
Let q = -0.013 + -31.987. Is q at most as big as -1?
True
Suppose 7*l - 39 = -249. Is l at most -29?
True
Suppose 3*d + 9 = 0, -4*h - 5*d - 63 = -8*d. Which is bigger: h or -16?
-16
Let h = 3832 - 11375/3. Let t = h - 41. Suppose 3*i + 4 = i. Is i >= t?
False
Let b = -18 + -6. Do b and -23 have the same value?
False
Suppose -7 = 4*i + 3*m, -2*i + 2*m + m - 17 = 0. Which is smaller: i or -6?
-6
Let d be (-21)/(-4) + (-18)/(-24). Suppose -d*n = -2*n + 44. Does n = -13?
False
Let l(p) = -5*p - 9. Let f(x) = -3*x - 2. Let n be f(3). Let s be l(n). Let q = -136/3 + s. Is q <= -0.4?
False
Let z = -0.352 - 0.048. Is z bigger than 4?
False
Let z = -8 + 10. Let j be ((-48)/22 - -2)/z. Is j less than 0?
True
Let l = -5 + 15. Suppose -4*f - d - 1 = 0, f - 2*d + l = d. Suppose 5*h - 6 = 3*j, 2*j - 2*h + 5*h = -4. Which is bigger: j or f?
f
Let m be 1/(13/(1/(-1))). Is -1 less than m?
True
Let w be 2 - (-1*8 - 3). Suppose -3*r - 14 = w. Let x be (-24)/r - 0 - 2. Which is smaller: -0.1 or x?
-0.1
Suppose 0 = 4*o - 8*o + 4. Which is bigger: -1/102 or o?
o
Let r = 100 + -95. Is 42/11 less than r?
True
Let h = -46 - -46.1. Is h bigger than 5?
False
Let o = -27 + 60. Is 33 at most as big as o?
True
Let c = 40 + -38. Let o = 0 + 0.2. Is o smaller than c?
True
Let m be (-25)/(-9) - 2/(-9). Let o = -4 + m. Which is smaller: o or -1/5?
o
Let a = 31 - 29. Let v = -0.2 - 0. Which is smaller: a or v?
v
Let k = -1 - 0. Suppose -3*r - 100 = -v - 7, -25 = -5*r. Let g = v + -1622/15. Do k and g have the same value?
False
Suppose -26*z - 1 = -25*z. Suppose 0 = -2*d - 16 + 2. Let v be (-3)/d*2/(-3). Which is greater: z or v?
v
Let t be ((-1)/3)/(5/10). Suppose w = 2*c + 8, 0*w + 7 = w - c. Let b be ((-4)/3)/((-2)/w). Is t < b?
True
Let d(m) = -m**3 + m - 15. Let o be d(0). Which is smaller: -16 or o?
-16
Let i = 5.96 - 6. Let m = 0.06 - i. Let r = -0.9 - m. Which is smaller: r or 1?
r
Let b be (-1)/(-2)*1/2. Let d(k) = -k + 8. Let i(m) = -m**3 + m + 1. Let s be i(-2). Let t be d(s). Is t smaller than b?
False
Suppose 2*g + 1 + 13 = 0. Let n(t) = -t**3 - 7*t**2 + t + 6. Let j be n(g). Which is bigger: j or -3/7?
-3/7
Let g(c) = -c**3 + 10*c**2 - c + 6. Let v be g(10). Let r be (-1)/(-2 + (-6)/v). Suppose 0 = q + 3*q - 12. Is r at most as big as q?
True
Suppose 0*m + 15 = 3*m. Which is greater: m or 4?
m
Let r = 2.7 + -8.7. Which is bigger: -0.1 or r?
-0.1
Suppose -7 = 5*c + 8, 2*c + 34 = 4*q. Suppose -4*k + 5*k - 7 = 0. Is q >= k?
True
Suppose -t = t. Suppose t*r = r. Is r less than 2/3?
True
Let i(m) be the third derivative of -m**6/120 + m**5/15 + m**4/4 - 5*m**3/6 + m**2. Let x = -5 - -10. Let n be i(x). Are 1/7 and n nonequal?
True
Suppose 7*i + 296 = 5*i. Which is bigger: -147 or i?
-147
Let m(p) = 2*p + 5. Let u be m(-9). Which is smaller: u or -58/5?
u
Let x = 0 - -0.1. Which is smaller: 2 or x?
x
Let l(t) be the second derivative of -t**3/6 - t**2 + 3*t. Let m be l(0).
|
{
"pile_set_name": "DM Mathematics"
}
|
e 2*q - 39 = -q. Let w(y) = y**2 + y + 24. What is the remainder when w(0) is divided by q?
11
Let k = -14 + 24. Suppose -k = -2*u + u. Calculate the remainder when -3 - 0 - -1 - -21 is divided by u.
9
Let g be (-4)/14 - (-32)/14. Suppose 2*d - 2*f + 6*f = 22, -3 = -d + g*f. What is the remainder when 26 is divided by d?
5
Let h(o) = o**3 - 4*o**2 - 2*o - 6. Suppose -8*p = -5*p - 15. What is the remainder when 25 is divided by h(p)?
7
What is the remainder when 2*11 - 4/(-2 - 2) is divided by ((-8)/3)/(1/(-3))?
7
Suppose -5*w = 3*o - 47, 0*w + 3*w - 3 = 0. What is the remainder when 68 is divided by o?
12
Suppose -5*p + w = -w - 588, -3*w - 592 = -5*p. What is the remainder when p is divided by 15?
11
Let g = -39 - -60. Suppose 12 = 3*x - x. What is the remainder when g is divided by x?
3
Suppose 0 = 13*p - 18*p + 40. What is the remainder when 15 is divided by p?
7
Suppose -3*k + 12 = -k. Let o(d) = -d**3 + 5*d**2 + 8*d + 1. What is the remainder when 50 is divided by o(k)?
11
Let o(d) = -3*d + 1. Let m be o(-1). Suppose -a - 26 = -m*w, -4*a + 3*a - 32 = -5*w. Let q = w - 1. Calculate the remainder when 13 is divided by q.
3
Let z(q) = q**2 + 6. What is the remainder when z(4) is divided by 12?
10
Let m(y) = y**2 - 5*y - 4. Let c be m(6). Suppose -5*i - c*w = -108, 0 = 5*i - 5*w - 13 - 67. What is the remainder when 38 is divided by i?
18
What is the remainder when 67 is divided by ((-30)/2)/(-1) + -7 + 6?
11
Suppose 0 = r - 0 - 3. What is the remainder when (-1 + 22)*1/3 is divided by r?
1
Let s be (1 - (-1)/(-2))*4. Suppose s*d - 7*d + 85 = 0. Suppose -r + d = -20. What is the remainder when r is divided by 13?
11
Let z = 5 + 20. Calculate the remainder when 48 is divided by z.
23
Suppose -5*b - 25 = -5*q, 15 = 2*q + q + b. What is the remainder when 7 is divided by q?
2
Let s(l) = 3*l + 1. What is the remainder when s(2) is divided by 3?
1
Let f be (3/(-3) - 7)/(-2). Suppose 3*w = -3*q + f - 1, 2*w - 2 = -5*q. What is the remainder when 4 is divided by w?
0
Let c(n) = n**2 - 4*n + 3. Let b be 2*(-1 + 9/2). Suppose 3*g = 37 + 2. Calculate the remainder when c(b) is divided by g.
11
Let x(h) = 11*h - h**2 + h**3 - 2*h**3 + 8*h**2. Calculate the remainder when x(8) is divided by 9.
6
Let x(q) = 3*q**3 - 2*q**2 + 2*q + 2. Let m be x(-2). Let f = -7 - m. Calculate the remainder when 78 is divided by f.
24
Let t be 5/20 - (-33)/12. Suppose t*b - 5 - 25 = 0. Calculate the remainder when 29 is divided by b.
9
Suppose -6*v = -4*v - 34. What is the remainder when 65 is divided by v?
14
Suppose -5*f = 5*u - 88 + 8, 0 = 2*f - 3*u - 32. What is the remainder when f is divided by 10?
6
Let m = 148 - 103. Calculate the remainder when m is divided by ((-48)/20)/((-9)/60).
13
Suppose -v - 12 - 10 = -3*z, v + 5*z + 46 = 0. Let k = v - -44. Calculate the remainder when 25 is divided by k.
12
Let g be 11/1 + 1 + 2. Calculate the remainder when (-2)/(-4) + 287/g is divided by 11.
10
Let r(j) = -j + 11. Let t be r(4). Let b(a) = 30*a**2 + 2*a + 1. Let m be b(-1). Let g = m - t. Calculate the remainder when g is divided by 6.
4
Let i = -28 + 42. Suppose 45 - 18 = v. Calculate the remainder when v is divided by i.
13
Let r(m) = -m**3 - m**2 - m. Let y be r(0). Suppose -2*k + k + 6 = y. Suppose 77 = 4*x + 9. Calculate the remainder when x is divided by k.
5
Calculate the remainder when (808/10)/(54/(-15) - -4) is divided by 34.
32
Calculate the remainder when 40 is divided by (-233)/(-11) - (108/66)/9.
19
Let f(h) = -1 - 2*h + 2*h - 7*h + 3. What is the remainder when 44 is divided by f(-3)?
21
Let u = -36 + 51. What is the remainder when u is divided by 10?
5
Let j(v) be the first derivative of 1/4*v**4 - 5 + 4*v**2 - 2*v + 10/3*v**3. What is the remainder when 12 is divided by j(-9)?
5
Let o = 3 - -16. Calculate the remainder when o is divided by 4.
3
Let c = -21 - -35. Calculate the remainder when 35 is divided by c.
7
Suppose 0 = -4*y + 8 + 4. What is the remainder when 9 is divided by y?
0
Let f = -9 + 29. What is the remainder when f is divided by 7?
6
Let z(w) = w + 7. Let j be z(-5). Let b be (-2 - (-7)/j)*2. Suppose -x + 2*t + 19 = -b*t, 0 = 3*t + 3. What is the remainder when 54 is divided by x?
12
Let s = 15 - 6. Suppose 3*n - s = -0. Suppose -4*b = n*w - 45, 2*w + 0*w - 10 = -b. What is the remainder when 22 is divided by b?
10
Let d = -4 - -6. Suppose 0 = -5*v + 6*v + 2*c - 8, -22 = -3*v - 4*c. Calculate the remainder when v is divided by d.
0
Suppose -4*r + 2*v + 40 = v, 2*r - 42 = -5*v. Calculate the remainder when r is divided by 4.
3
Calculate the remainder when (-24 + 1)/((-3)/9) is divided by 36.
33
Let l(k) = k**3 - 13*k**2 + k - 14. Let c be l(13). Suppose 2*t + q = -2*q - 1, -1 = q. Calculate the remainder when c + t - (-14)/2 is divided by 3.
1
Let v = -11 - -18. Let n = 25 - 12. Calculate the remainder when n is divided by v.
6
Suppose 5*k = 2*o - 111, 5*o + 3*k + 0*k - 355 = 0. What is the remainder when o is divided by 18?
14
Calculate the remainder when 45 is divided by 1 + 104/10 - 45/(-75).
9
Let i be (-2 + 1)*2 + 15. Suppose i + 9 = 2*b. Calculate the remainder when 21 is divided by b.
10
Calculate the remainder when 15 is divided by (-9)/15*(-3)/(-2)*-10.
6
Let k = -40 + 64. Calculate the remainder when k is divided by ((-21)/6)/(2/(-4)).
3
Suppose 2*k - g = 285, -g + 0*g - 711 = -5*k. Calculate the remainder when k is divided by 36.
34
Suppose 3*b = 15, 4*s + b - 11 = 2*b. Let z(h) = -5 + 1 - s*h + 6*h + h**2. Calculate the remainder when z(-4) is divided by 2.
0
Let h = -31 + 61. Let w = 42 - h. Suppose 2*g = 46 + w. What is the remainder when g is divided by 10?
9
Let t(g) = -125*g + 70. Let a(c) = -9*c + 5. Let o(w) = -55*a(w) + 4*t(w). What is the remainder when o(-4) is divided by 7?
4
Let x = 52 - 132. Let k be 2/3 - x/(-12). What is the remainder when 16 is divided by (-3)/(9/k + 1)?
4
Let t be (-4 + 14)*1/(-2). Let y(u) = -u**3 - 5*u**2 - 2*u + 2. What is the remainder when 21 is divided by y(t)?
9
Suppose 5*u - t = 540, 2*u + 0*t - 223 = -t. What is the remainder when u is divided by 22?
21
Suppose -3 = 2*j - 13. Suppose -5*y = 0, j*a - 2*y = -7*y + 25. Calculate the remainder when a is divided by 2.
1
Calculate the remainder when 33 is divided by ((-16)/48)/(2/(-108)).
15
Let n(m) = -m**3 - 11*m**2 - 9*m + 19. What is the remainder when 22 is divided by n(-10)?
4
Let u(y) = y**3 - 2*y**2 + y + 4. Let r be u(3). Let w = 10 + r. What is the remainder when w is divided by 14?
12
Let h(n) = -23*n**3 + n**2 + n + 1. What is the remainder when (14/(-21))/((-1)/105) is divided by h(-1)?
22
Calculate the remainder when 25 is divided by 12/(-16) + 78/8.
7
Let m(o) = 3 + 9*o + 4 - 11*o - 10*o. What is the remainder when m(-6) is divided by 27?
25
Let p be 1 + 1 - (-6)/6. Let y(b) = -2 - 7*b - b**3 + 0*b**3 + 10*b**2 + 0*b**p. What is the remainder when y(9) is divided by 9?
7
Let j(u) = 3*u**2 + 1. What is the remainder when j(-3) is divided by 1/(-3)*5*-6?
8
Let c = 16 - 10. Let s = 2 + c. What is the remainder when 14 is divided by s?
6
Let x = -23 + 50. What is the remainder when x is divided by 14?
13
Let j be -1 - (0 + -87 + 0). Let g be (-51)/(-6)*(12 - 0). Suppose 0 = -4*t - 5*y + j, 3*y + g = 4*t - 0*y. What is the remainder when t is divided by 13?
11
Suppose -27 - 35 = -2*z. Let m(x) = -x**3 - 4*x**2 - 3*x - 1. Calculate the remainder when z is divided by m(-4).
9
Suppose -3*v + 8*v = 0. Suppose 2*z + v*z = -36. Let p = z + 27. What is the remainder when 25 is divided by p?
7
Suppose -4*t + 3*t + 11 = 0. Suppose 3*g + 2*z - 59 = 2*g, -5*g + 3*z + 256 = 0. What is the remainder when g is divided by t?
9
Suppose 20*p - 78 = 17*p. Calculate the remainder when 103 is divided by p.
25
Suppose 0 = 3*v - 5*v + 50. Suppose 3*l - v = -5*p, 2*p = 4*p - l - 10. Suppose -p - 51 = -4*g. What is the remainder when g is divided by 8?
6
Suppose -z - 2*g = -11, 5*z - 4*g - 54 - 43 = 0. Calculate the remainder when 66 is divided by z.
15
Suppose q - 64 = -20. Let a(k) be the first derivative of k**4/4 + 7*k**3/3 - 11*k**2/2 - k + 4. Calculate the remainder when q is divided by a(-8).
21
Let i(v) = -4 - v + 0*v - 7*v. Let n be 2/(-7) + (-19)/7. Calculate the remainder when i(n) is divided by 7.
6
Suppose 0 = -3*w - 2*i - 3*i + 48, 69 =
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l(i) = -59*i + 92. Let r(j) = 7*j - 12. Give 6*l(p) + 51*r(p).
3*p - 60
Let h be (-2)/9 - (-32)/(-18). Let o(i) be the first derivative of -i**3 - i**2 - 2*i + 609. Let m(q) = 3*q**2 + 3*q + 3. What is h*m(y) - 3*o(y)?
3*y**2
Let u(n) = -n**2 - n + 1. Let d be 2 - (6/(-2) - -2). Let b(q) = -2*q**2 - 3*q + 3. Let i = 509 + -510. Calculate d*u(h) + i*b(h).
-h**2
Let i(y) = -4*y + 11 + 0*y - 5. Let x(p) = -p**2 + 63*p + 196. Let z be x(-3). Let j(n) = n - 1. What is z*i(k) - 12*j(k)?
-4*k
Let k(v) = -v**3 + 6*v**2 + 6*v - 6. Let u(s) = 5*s**2 - 6*s**2 - s + s - s + 1. Let a be 5*(32/10 + -2). Let n = 2187 - 2186. What is a*u(q) + n*k(q)?
-q**3
Suppose -5*h - 5*u - 63 - 7 = 0, 0 = u + 2. Let t(o) = -16*o - 5. Let q(f) = 40*f + 12. Calculate h*t(z) - 5*q(z).
-8*z
Let i(s) = 13840*s**3 + 560*s**2. Let n(o) = 74*o**3 + 3*o**2. What is 3*i(v) - 560*n(v)?
80*v**3
Let b(n) = -n - 21. Let z(k) = 13. Let u(j) = 4. Let c(f) = 14*u(f) - 4*z(f). Suppose 4*v - 3*o - 651 + 604 = 0, 4*v = o + 45. Determine v*c(x) + 2*b(x).
-2*x + 2
Let q(b) = 3*b**2 - 85*b - 10. Let x(r) = -r**2 + 42*r + 4. Give 2*q(z) + 5*x(z).
z**2 + 40*z
Let n(f) = -7*f + 5. Let d = -7 - 1. Let m(c) = c + 15. Let q(g) = 1. Let h(l) = m(l) - 2*q(l). Let b be h(d). Let u(a) = 3*a - 2. Determine b*u(r) + 2*n(r).
r
Let d(p) = p**3 + 2*p - 3*p + 19 + 2*p**2 - 2*p + 13 - 33. Let g(c) = -c**2 + 1. Calculate -d(n) - g(n).
-n**3 - n**2 + 3*n
Let j(k) = 122*k**2 - 14*k - 4. Let h(l) = l**2 + 2*l + 1. Calculate -6*h(g) - j(g).
-128*g**2 + 2*g - 2
Let u(t) = -23*t - 1. Let w be u(-1). Let h(z) = -z**2 + 11*z. Let i = 1 - 3. Let s(c) be the third derivative of c**4/24 + c**2 - 48. What is i*h(r) + w*s(r)?
2*r**2
Let s(k) = 4*k + 67. Let m(a) = -a**2 - a + 1. What is -2*m(p) - s(p)?
2*p**2 - 2*p - 69
Let h(u) = 5*u**2 + 480*u + 6. Let k(p) = -2*p**2 - 160*p - 2. What is -3*h(r) - 8*k(r)?
r**2 - 160*r - 2
Let c(v) = 53*v - 8. Let g(q) = -53*q + 7. What is 5*c(i) + 6*g(i)?
-53*i + 2
Let a(w) = 0 - 2 + 17*w + 1. Let z(s) be the third derivative of 0 + 1/6*s**4 + 0*s**3 + 8*s**2 + 0*s. What is -2*a(j) + 9*z(j)?
2*j + 2
Let s(a) = -1. Let x(v) = -7*v - 8. Let d(i) = 39*i + 42. Let g(w) = 2*d(w) + 11*x(w). Give -g(j) + 4*s(j).
-j
Let k(l) = 70*l + 7. Let m(p) = 348*p + 32. Give -14*k(s) + 3*m(s).
64*s - 2
Let r(f) = -7*f**2 + 2*f + 4. Suppose 6*i - 5 = 7*i. Let d(t) be the second derivative of 0*t**3 + 1/12*t**4 + 0 - 2*t - 1/2*t**2. Give i*d(p) - r(p).
2*p**2 - 2*p + 1
Let n(v) = -2*v + 3. Let o(s) = 3*s - 11. Let c be o(4). Let y(t) = -17*t - c - 2*t + 20*t. What is -3*n(l) - 5*y(l)?
l - 4
Let z = -740 + 737. Let v(w) = 2*w**3 - 3*w**2 + 10*w - 3. Let a(b) = -5*b**3 + 8*b**2 - 29*b + 8. Give z*a(m) - 8*v(m).
-m**3 + 7*m
Let y(a) = a**2 + 4*a - 24. Let s(q) = -2. Determine -5*s(i) - y(i).
-i**2 - 4*i + 34
Let j(l) = 3*l + 29. Let c(a) = a. Determine 2*c(b) + j(b).
5*b + 29
Let b(o) = -1. Let g(v) = -33*v + 461. Let x be g(14). Let h(w) = 2*w**2 - 4*w + 8. What is x*h(l) - 5*b(l)?
-2*l**2 + 4*l - 3
Let t = -1323 - -1312. Let n(j) = -7*j. Let z(p) = 9*p + 4. Let a(y) = 8*y + 5. Let f(h) = -4*a(h) + 5*z(h). Calculate t*n(q) - 6*f(q).
-q
Let y(d) = -10*d - 6. Let g(n) = 7*n + 4. Let p be 8/3*2/(24/18). Suppose p = -4*j - 16. Calculate j*y(w) - 7*g(w).
w + 2
Let l(g) = 4*g**3 + 3*g**2 - g + 11. Let c(p) = -4*p**3 - 4*p**2 + p - 13. Give 6*c(y) + 7*l(y).
4*y**3 - 3*y**2 - y - 1
Suppose -93 = -38*k + 41*k. Let x be k/2 - (-9)/6. Let p(s) = -6*s**2 - 7*s. Let v(f) = -f**2 - f. Give x*v(y) + 2*p(y).
2*y**2
Let m(b) = b**2 - 4*b. Let z(a) = -2*a**2 + 10*a. Let i = -29 - -30. Let h be 2 - i - (4 - 7). Suppose d = h*d + 15. What is d*z(p) - 12*m(p)?
-2*p**2 - 2*p
Let x(o) = -3*o**3 - o**2 - 8*o. Let y = 20 - 15. Let w(n) = 7*n + 3*n**2 - 22*n**2 + 12*n**2 + 2*n**3 + 8*n**2. Give y*x(a) + 6*w(a).
-3*a**3 + a**2 + 2*a
Let c(h) = 4*h**2 + 4*h. Let m(i) be the second derivative of 1/12*i**4 + 0*i**2 + 1/6*i**3 + 0 + 37*i. Calculate c(v) - 3*m(v).
v**2 + v
Let q(x) = 5*x**3 - 4*x**2. Let t(n) = 3*n**3 - 3*n**2. What is -4*q(w) + 6*t(w)?
-2*w**3 - 2*w**2
Let z(u) = -u - 3. Let l = -974 - -971. Let d(j) = 1. What is l*z(i) - 7*d(i)?
3*i + 2
Let h be (-2 - 0)*6/(-4). Let i(c) = c**2 - 4*c - 5. Let z(a) = -a**2 + 3*a + 4. Suppose 4*x + 8 = 6*x. Determine h*i(j) + x*z(j).
-j**2 + 1
Let f(h) = h + 2. Let y(j) = -19 + j - 20 + 63 - 22. Calculate 6*f(s) - 5*y(s).
s + 2
Let t(l) = -2168*l**2 + 5420*l - 2710. Let p(r) = r**2 - 2*r + 1. What is 2710*p(q) + t(q)?
542*q**2
Let c(n) = -5*n**3 + 5*n**2 + 8*n - 3. Let b(j) = -6*j**3 + 6*j**2 + 10*j - 4. Let v(u) = -4*b(u) + 5*c(u). Let z(f) = -f**2 + f - 2. What is v(t) + z(t)?
-t**3 + t - 1
Let x(v) = 19*v**2 - 11 + 8*v + 6 - 22*v**2. Let z(f) = -f**2 + f - 1. Suppose 9*t - 5 = 4*t. What is t*x(b) - 5*z(b)?
2*b**2 + 3*b
Let y(c) = 36*c**2 - 4*c. Let r(w) = 108*w**2 - 11*w - 1. Determine 3*r(h) - 8*y(h).
36*h**2 - h - 3
Let o(k) = -1 + 212*k + k**2 - 212*k - 2*k**2. Let m(h) = 2*h**2 + 2*h + 7. Determine m(g) + 5*o(g).
-3*g**2 + 2*g + 2
Let w(u) = 3*u**3 - 9*u**2 - 6*u - 2. Let j be (162 + -168)/((-12)/26). Let h(c) = -6*c**3 + 19*c**2 + 13*c + 4. Determine j*w(s) + 6*h(s).
3*s**3 - 3*s**2 - 2
Let n(v) = 7*v**2 - 2*v - 1. Let i(d) = 20*d**2 - 5*d - 4. Give -4*i(c) + 11*n(c).
-3*c**2 - 2*c + 5
Let r(d) = 4 - 2*d + 2*d - 3*d. Let g(j) = -4*j + 5. Suppose -19*t - 285 = 38*t. Give t*r(f) + 4*g(f).
-f
Let z(n) = 2*n**2 - 8*n + 2. Let d(t) = 4*t**2 - 16*t + 4. Give 4*d(j) - 9*z(j).
-2*j**2 + 8*j - 2
Let r(o) be the second derivative of 11*o**4/12 - 11*o**3/6 + 6*o + 2. Let j(b) = 4*b**2 - 4*b. Let q = -11 + 3. Calculate q*j(t) + 3*r(t).
t**2 - t
Let v(r) = -6*r**2 - 28*r + 1. Let x(w) = -7*w**2 - 29*w - 2. Give 5*v(u) - 4*x(u).
-2*u**2 - 24*u + 13
Let l(y) = -3810*y + 127. Let n(k) = 119*k - 4. Calculate -4*l(t) - 127*n(t).
127*t
Let x(n) = 33*n**2 - 1. Let h(q) = -99*q**2 + 3. Calculate 2*h(g) + 7*x(g).
33*g**2 - 1
Let g(o) = -710*o - 2 + 708*o + 0 - 5*o**2. Let j be 21 + 1 - (-2 + 3). Let x(k) = -11*k + k - j - 12*k + k - 51*k**2. Determine -21*g(v) + 2*x(v).
3*v**2
Let n = -43 - -51. Let t(q) = -6*q + 1. Let l(p) = 4*p - 1. Give n*l(v) + 5*t(v).
2*v - 3
Let n(g) = 11*g**2 + 3*g + 5. Let u(o) = -12*o**2 - 2*o - 10*o**2 - 12*o**2 - 3 - 3*o**2 + 32*o**2. Give 3*n(t) + 5*u(t).
8*t**2 - t
Let y(t) = 3*t**3 + 92*t**2 - 2*t + 2. Let m(x) = 4*x**3 + 94*x**2 - 2*x + 3. Calculate -2*m(g) + 3*y(g).
g**3 + 88*g**2 - 2*g
Let m(b) be the second derivative of b**2/2 - 304*b. Let r(v) = -9*v**2 - 5. Calculate -5*m(g) - r(g).
9*g**2
Let f(b) = -5*b**2 + 5*b + 10. Let y(c) = -27*c**2 + 25*c + 52. Let l(a) = 11*f(a) - 2*y(a). Let q(p) = p**2 - 4*p - 5. Calculate -4*l(r) - 5*q(r).
-r**2 + 1
Let j(d) be the second derivative of -19*d**5/20 + 5*d**2/2 + 3*d - 14. Let v(k) = 58*k**3 - 16. What is 16*j(c) + 5*v(c)?
-14*c**3
Let t(y) = 3*y**2 + 4*y. Let p(d) = -10*d**2 + 12*d**2 - 12*d - 11*d**2 - d**2. What is 2*p(g) + 7*t(g)?
g**2 + 4*g
Let a(p) = -p - 26. Let i(k) = 1. Calculate a(c) - 6*i(c).
-c - 32
Suppose -t + 6 = -37. Let a(r) = 2*r**2 - 3 - 43*r + t*r. Let w(g) = g**3 - 3*g**2 + 5. What is 5*a(j) + 3*w(j)?
3*j**3 + j**2
Suppose 31*c + 92 = 8*c. Let s(r) = 4*r**2 + 4. Let d(w) = 4*w**2 + 3. Determine c*s(k) + 6*d(k).
8*k**2 + 2
Let m(n) = -n**2 + n + 1. Let g(u) = -u**3 + 194*u - 98*u - 3 - 98*u. Determine -g(h) - 2*m(h).
h**3 + 2*h**2 + 1
Let k(y) = 30*y**3 + 11*y**2 + 11*y + 11. Let j(n) be the first derivative of 5*n**4/2 + 4*n**3/3 + 2*n**2 + 4*n - 94. What is -11*j(v) + 4*k(v)?
10*v**3
Let o(m) be the first derivative of -m**2/2 - 4*m + 288. Let f(n) = -11. Let i(b) = -5. Let a(p) = -2*f(p) + 5*i(p). Give -5*a(h) + 4*o(h).
-4*h - 1
Let u(j) = j**2 - 5*j. Let n(h) = 3*h + 0*h - 2*h**2 + h. Let a(o) = -o**2 - o + 347. Let s be a(-19). Calculate s*n(p) + 4*u(p).
-6*p**2
Let z(r) = 63*r**2 - 7. Let u(l) = -59*l**2 + 8. Give -3*u(m) - 4*z(m).
-75*m**2 + 4
Let r = -528 + 524. Let y(u) = 3*u**3 - 3*u**2. Let t(m) = 3*m**3 - 3*m**2. Determine r*y(x) + 3*t(x).
-3*x**3 + 3*x**2
Let a be (-12)/3*-3*4/8. Let j(q) = -q - 1. Let o(w) = -9*w - 8. Give a*j(x) - o(x).
3*x + 2
Let o(h) = -3*h**3 - 4*h**2 - h. Let r(f) = f**3 + f**2. Let a be 6/4 + (2 - (-5)/10). Give a*r(n) + o(n).
n**3 - n
Let a(f) = f**3 + 2*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
c/30) prime?
False
Let q = -74 + -57. Let r be (-25)/((11/(-8))/11). Let a = r + q. Is a a prime number?
False
Let h(y) = 2*y**2 - y + 6*y - 29*y**3 - 18 + 17. Let k(v) = 28*v**3 - 2*v**2 - 4*v + 2. Let p(l) = 3*h(l) + 2*k(l). Is p(-3) composite?
True
Let c(t) = 908*t**2 + 42*t - 509. Is c(9) composite?
False
Let s(t) = 4*t**2 + 2*t + 9. Let z be s(9). Suppose 0 = -d + 6*d - 700. Let r = z - d. Is r a prime number?
True
Let l(h) be the third derivative of 49*h**6/120 - h**5/60 - 13*h**4/24 - h**3/6 - 48*h**2. Is l(4) prime?
True
Suppose 1129*z = 1128*z + 50531. Suppose 5*f + 20 = 0, 6*o - 3*o - 2*f = z. Is o a prime number?
False
Let z(m) = m**3 + 6*m**2 + 2*m. Let k be z(-4). Let y be ((-6)/(-2))/((28/k)/7). Is 4/y - (2 + (-32961)/27) a prime number?
False
Suppose r + 702167 = 4*f, f + 3*r - 162731 - 12827 = 0. Is f a composite number?
False
Suppose k - 153537 = 14*u, 2*u + 508437 = 5*k - 259520. Is k composite?
True
Suppose 0 = 5*u + 4*u - 18. Suppose -4*g + 3*n = -13, -2*n + 3*n - 9 = -u*g. Suppose -3*v + 3419 = -g*x, -4*v + 2*v = -x - 2281. Is v a prime number?
False
Suppose p + 22545 = 4*p + 3*a, -p + 4*a = -7525. Is p composite?
False
Suppose 4*w = 15*w - 132. Is (289737/(-12))/(-7) + (-3)/w prime?
True
Let p(k) = 2*k - 28. Let w be p(12). Let i be (-6)/w*254 + -2. Suppose -i = -5*b - 4*c + 274, -3*c = b - 124. Is b composite?
True
Let y be ((-40)/25)/(6/(-22965)). Let i = y + 205. Is i prime?
True
Is ((-6)/4)/1*(8 + -1701)*2 composite?
True
Let m(g) = 6158*g**3 - 12*g**2 + 7*g. Let h(b) = 6158*b**3 - 14*b**2 + 8*b. Let f(j) = -6*h(j) + 7*m(j). Is f(1) a composite number?
True
Let y(v) = 3988*v**3 - v**2 - 4*v + 6. Is y(1) a prime number?
True
Is -14 - -33 - (-19 + -349023) composite?
True
Suppose 6*l = p + 1140167, 33*l + 950130 = 38*l + p. Is l composite?
False
Suppose 4*w + 4877 = w + 4886. Suppose -2 + 6 = v. Suppose v*n - w*n = -1, 2626 = 3*s + 5*n. Is s a prime number?
True
Suppose 4*a - 5*n - 33205 = -5068, -4*a - 3*n = -28129. Is a composite?
True
Suppose -5 = -5*c - 4*l, 2*l + 3 = 3*c - 0. Is 0 - c/(-4) - (-115075)/100 a prime number?
True
Let t(b) = -b**3 - 2*b**2 - 4*b + 41. Let u be (13/(-1))/(-4 - -5) - 1. Is t(u) composite?
True
Let r be (16/40)/((-2)/360). Let v = 75 + r. Is (-4203)/(-6) - v/(-6) a prime number?
True
Suppose -5*t = 5*h - 137648 - 496432, 126809 = h + 2*t. Is h composite?
False
Let d(q) = 14*q**2 - 24*q + 21. Let t(o) = 2*o**2 - 67*o - 81. Let v be t(35). Is d(v) composite?
True
Let o = -63 - -131. Let q = o + -56. Suppose -8*x - 5276 = -q*x. Is x prime?
True
Suppose -60 = 2*r - 7*r + 5*w, 5*r = -4*w + 15. Suppose -t + 4*i + 1 = r, -4*t + 3*i = -28. Is 296 - (-2)/(t/(-15)) prime?
True
Let i = -137 - -90. Let l = i + 49. Suppose 1327 = 5*v + 5*k - 928, -l*k = 0. Is v prime?
False
Suppose 4*m = -5*m + m. Suppose -3*l - v + 60 = m, -3*v = -2*l - 5*v + 40. Let y(o) = o**3 - 19*o**2 - 2*o - 46. Is y(l) a composite number?
True
Let l(n) = 90*n + 60. Let o be l(12). Let w = o + -773. Is w a composite number?
False
Let y be 27*(2/(-8) - 10115/(-12)). Let k = -6917 + y. Is k composite?
True
Suppose 10*u + 213*u + 701636 = 9395737. Is u a prime number?
False
Suppose -3 - 150 = -17*g. Suppose -14*t + 10765 = -g*t. Is t a composite number?
False
Suppose -41*y + 4*q = -43*y + 805414, -3*y = 2*q - 1208089. Is y a composite number?
False
Suppose -2*a + 5*v + 227434 = 0, -29*v + 24*v - 454868 = -4*a. Is a prime?
True
Let m = 47391 + -20470. Is m a prime number?
True
Suppose 9*i + 46*j - 35495 = 48*j, 2*j = i - 3951. Is i prime?
True
Suppose -27*d - 20 = -22*d - 4*o, 2*d - 4*o = 4. Let z(h) = -5*h - 12. Let w(i) = 9*i + 23. Let y(g) = 6*w(g) + 11*z(g). Is y(d) a prime number?
False
Let l(p) = 3*p**3 + 3*p**2 + 7*p + 39. Let v be l(7). Suppose 4*r - v = 3564. Is r composite?
True
Is (209 + -210)*-1*5413 a composite number?
False
Let f be ((-33)/(-2))/11*-6. Is f*(-7893)/(-54)*(-2)/3 a composite number?
False
Suppose -2*i + 4*k = 14, 3*i + 4*k = -0*i - 1. Is (1 + i)/2*-1327 a composite number?
False
Suppose -19 = -5*b + 4*m, 5*b = m - 2*m + 14. Suppose 0*j + b*r = 3*j - 33, -4*j - r = -24. Suppose j*s = 2210 - 663. Is s prime?
False
Suppose 5*p + 113 = 118. Is 19430/7 + p - (-4)/14 composite?
False
Let c(v) = 2*v**2 - 15*v - 48. Let k be (-2 - (2 - -3))/1. Is c(k) composite?
True
Let m = 11 + -36. Let j be 3275*(3/5 + (-5)/m). Let r = j + -1259. Is r a composite number?
False
Suppose 16*l - 35*l = -l - 22280922. Is l a composite number?
False
Is (1 - 981239)/(214 - 216) a prime number?
True
Let z = -485781 + 1126516. Is z a prime number?
False
Let p(h) = -3*h + 6. Let m be p(0). Let v(b) = -3 + 27*b**3 + 13*b**2 - m*b**2 - 2*b**3 + 2. Is v(3) a prime number?
False
Suppose -h + 502261 = 10*f - 6*f, 2*h - 125581 = -f. Is f composite?
True
Let d = -63 - -81. Suppose -h + 2*u = 3*h - d, -h + 12 = -3*u. Let p(f) = 185*f - 14. Is p(h) a prime number?
True
Suppose -185 = 5*c - 5*k, -2*c + 0*k = 3*k + 89. Let x = -32 - c. Suppose -x*z = -3*z - 255. Is z a composite number?
True
Is 17 + -1 + 732406 - -17 a prime number?
True
Let a be 3/(-1) + (-10 - -3664). Let g = a - 2486. Is g a prime number?
False
Is 2/28 - ((-29400264)/112)/9 a composite number?
False
Suppose -4*t + 3437 = 3*t. Suppose 6*l - 3295 - t = 0. Is l a prime number?
True
Let m be 31710/4*-6*(-32)/15. Suppose 4*k + m = -5*v, -v - k + 40594 = -3*v. Is 2 + 1/(v/(-6764) + -3) composite?
False
Is ((-73766)/55)/(65/25 - 3) a composite number?
True
Suppose 2*m = 10681 + 2941. Let c = m + -3114. Is c a composite number?
False
Is ((-28)/(-6))/(1666357/(-15003639) - 1/(-9)) prime?
False
Let o = 12673 - -22473. Is o a composite number?
True
Let a(u) = 6*u - 7. Let o be a(7). Suppose 4*y = -5*w + 41, -3*w = 2*y + 3*y - o. Suppose -l - 2*m = -883, 5*m - 2055 + 6440 = w*l. Is l a composite number?
True
Suppose 5*w - 2*n = 2*n + 92, 2*n + 22 = w. Let o = 5 + w. Is (o/(-6))/((-5)/290) prime?
False
Let g be (24/(-42))/((-5)/(2415/6)). Let d(o) = -o**3 + 47*o**2 + 38*o + 89. Is d(g) a prime number?
False
Let b(i) = 2*i**3 - 4*i**2 - i + 8. Let a(x) = x**3 + 2*x**3 + 8 - 2*x**3 - 5 + 13*x**2. Let g be a(-13). Is b(g) a prime number?
True
Suppose -2*h = -x + 1523, 238*h = 4*x + 240*h - 6132. Is x a prime number?
True
Let q = 163 + -141. Suppose -12*s - 4150 = -q*s. Is s prime?
False
Suppose -10*i + 1 = 2411. Let y = 583 - i. Suppose -p + 315 = -y. Is p composite?
True
Suppose u - 52947 = -m, -7*u + 52943 = m - 5*u. Is m a composite number?
False
Let p = -3245 + 36366. Is p composite?
True
Suppose 0 = -5*f + 3*y + 205427, -4*f + 5*y + 243215 = 78863. Is f a composite number?
True
Let x(c) = 3*c**3 + 4*c**2 - 3*c + 1. Let l be x(1). Suppose l*m + 1129 + 6580 = 2*a, -4*a + 15493 = 5*m. Is a prime?
False
Suppose 0 = 5*z + 5*m - 11 - 9, 3*m = -2*z + 8. Suppose z*i - 2*l - 335 = l, 3*l = 3*i - 252. Is i a composite number?
False
Let i(c) = c + 1. Let w be i(-3). Let f(x) = -119*x**3 - x**2 + 2*x - 2. Let o be f(w). Is (o/18)/((-3)/(-9)) a composite number?
False
Let r(s) = -75*s - 25. Let n be r(-11). Suppose u - n - 1189 = -5*a, 0 = 3*a - 12. Is u composite?
True
Let p = 64224 - 25162. Is p prime?
False
Let k(c) = -10358*c + 607. Is k(-98) a prime number?
True
Suppose -96 = -s - 99. Is s/(-3) - ((-10)/5 + -5768) a composite number?
True
Suppose u - 19*q + 23*q - 26 = 0, 0 = 5*u - q - 25. Is (-1 + 0)*(u - 1955) prime?
True
Let g(y) = 36001*y - 1035. Is g(8) a composite number?
False
Let w = 5 + 1. Let c(h) = -39*h**3 + 4*h**2 + 6*h. Let t be c(-2). Suppose -w*u + t = -2*u. Is u a composite number?
False
Suppose -131*c = -128*c - 4*y - 27638, -4*c + 36799 = 5*y. Is c a prime number?
False
Is ((-10)/(-20))/(21/1796214) a prime number?
True
Let o(d) = 565*d**2 + 56*d + 367. Is o(-18) a composite number?
True
Let z = -107 - -107. Let q(s) = 2*s**2 - 13*s + 10181. Is q(z) prime?
True
Suppose 437914 = 5*a + 182393 - 618894. Is a prime?
False
Let i be (-104 + (7 - 3))*(-1)/(-1). Let u = -234 - i. Let c = u + 1405. Is c composite?
True
Let o(z) be the first derivative of 11*z**4/4 - 4*z**3/3 + 5*z**2 + 30*z - 11. Is o(7) a composite number?
False
Let f = 58 + -398. Is (f/30)/17*19338/(-4) a prime number?
False
Is 9/(-6)*(-852290)/(-90)*-6 a composite number?
False
Let o = 5475 + -2396. Is o composi
|
{
"pile_set_name": "DM Mathematics"
}
|
9. Which is the closest to d? (a) w (b) 1/4 (c) 0.4
b
Let d = -1 + 0.8. Let m be -636 - -646 - 73/7. Which is the nearest to -3? (a) 0 (b) m (c) d
b
Suppose 2*s = 4*v + 536, -2*v - 18*s - 276 = -20*s. What is the nearest to 0 in v, 1, 8?
1
Let s = 18.8 - 19. Let h(j) = 3*j. Let q be h(1). Let n = -0.37 + 1.37. Which is the closest to n? (a) q (b) s (c) -0.5
b
Let h = 41427.1 - 41427. What is the nearest to -3 in 2/209, -4/7, h, -3/8?
-4/7
Let i = 3872 + -7743/2. What is the nearest to -2/9 in 0.1, 24, i?
0.1
Suppose 0*v - 8 = 2*n + 3*v, -5*n + 2*v - 20 = 0. What is the nearest to 2 in -345, -1/2, n?
-1/2
Let v = 14.535 + -14.535. Let h = -2.9 + 3. Suppose -4*i - s = 9, -2*i + 2*s = -0*i + 2. What is the nearest to v in i, h, 2/11?
h
Let s be 48/32*8/42. Let x = -3.482 + 4.482. What is the nearest to s in -5, x, 1/18?
1/18
Let x = -81 + 85. Let n = 51.75 - 52. Let z = 0.15 + n. Which is the closest to z? (a) x (b) 1 (c) -1/4
c
Let r(s) = -19*s**2 + 55*s + 8. Let x be r(3). What is the nearest to -1 in x, 0.025, 2/9?
0.025
Let c = 1.5927 - 1.5807. What is the closest to 1/3 in c, -7, 4?
c
Let o be 1/(((-5)/2)/(-1)). Suppose -32221*p = -33276*p - 2110. What is the nearest to p in o, -99, 1/3?
1/3
Suppose 47 = 7*t - 2. Suppose 0 = 4*z - 3*f + 6 + 4, 3*z + 5*f = t. Let q be (0 - 2 - -4) + 3. Which is the closest to z? (a) -5 (b) q (c) 2/5
c
Let h = 91299/124 + -2949/4. Let o = 59/93 + h. What is the nearest to -1/4 in -2/39, o, 2/7?
o
Let x = 0.5318 - -0.4682. Which is the closest to x? (a) -0.1 (b) -27 (c) 0.8
c
Let d be ((-44)/(-30))/((-8)/(-6)) + (-66)/220. Let u = 47 + -142/3. Which is the nearest to u? (a) 0.14 (b) 1 (c) d
a
Let g = -14509/2 + 7255. Let t = 1.2 + -0.2. What is the nearest to 0 in -41, t, g?
g
Let l = 6318337/138 + -45784. Let j = -5/23 + l. Let k = 1 + 1. Which is the nearest to -0.1? (a) 1/2 (b) j (c) k
a
Let l be ((-3)/4)/((-1)/10 + 49606/1360). What is the closest to l in -0.5, -2/3, 0.2, -1?
0.2
Let x = -484 + 293. Let k = x + 191.1. Which is the closest to k? (a) -2 (b) -4 (c) -66
a
Suppose 2*x - 3 = -3*d - x, 3*d = -2*x + 6. Let j = 5900 + -5899.8. Which is the nearest to j? (a) d (b) 0.01 (c) 2
b
Let q = -3110 + 3114. Let c = -35 + 67/2. What is the closest to 3 in c, -2, q?
q
Let f = -0.05 - -0.05. Let i be (-12 + 392/32)*-2. Which is the nearest to f? (a) 4 (b) -1 (c) i
c
Let n = -40 + 43. Suppose 0 = -5*r - 3*b - 41 + 63, 12 = 3*b. What is the closest to r in -0.1, n, -8?
n
Let i = -7 + 8. Let r = -0.019 - 0.008. Let d = 0.273 - r. What is the nearest to i in 3, -0.2, d?
d
Let o(f) = f**3 - f**2 + f - 35. Let m be o(0). Let x be (m/(-14))/((-2)/(-4)). Which is the nearest to 3/8? (a) 11 (b) 0.5 (c) x
b
Let j = 9299.5 + -9299. What is the closest to -5/6 in -2, -7/3, j?
-2
Let y be (-100)/25 - (-25)/7. What is the nearest to 1 in 0.2, 2/13, 0.01, y?
0.2
Let w = -3.83 - -8.96. Let h = -5.43 + w. Let v = -2 + 3. What is the closest to -0.5 in h, 3, v?
h
Let d = 79 + -555/7. Let j be (2/(-4) - 0)*(-9 + 11). Which is the nearest to d? (a) -9 (b) -4 (c) j
c
Let s = 2008 - 18074/9. Which is the nearest to 1? (a) -1 (b) 0.1 (c) 2/173 (d) s
b
Let v = -11.67 - -6.67. Which is the closest to 1? (a) -529 (b) -1 (c) v
b
Let x be 4/(-20) - 3256/(-55). What is the closest to 1 in 0.14, -1/5, -1/3, x?
0.14
Let p = 163 - 162.67. Let o = -0.33 - -0.68. Let n = p - o. Which is the nearest to n? (a) 1/4 (b) -3/4 (c) -5
a
Let y be (150/525)/((-7)/49). Let r be (3 - 6)/(30/(-4)). What is the closest to r in 4, 0.1, y?
0.1
Suppose -q + 7*q - 36 = 0. Let y be ((-2)/q)/(-23 - -22). Let i = 8 + -8.5. What is the closest to 0 in -4, y, i?
y
Let i = -234.4 - -238.4. Which is the nearest to i? (a) -1 (b) -1/6 (c) 1/2
c
Let m = 1/3 - -1/15. Let j = 7 + -6.88. Let d = j + 1.88. What is the closest to m in d, 0.5, 0?
0.5
Let z be (-1)/(1/(-2))*(-19)/266. What is the nearest to 0.1 in 3/2, z, 5/14?
z
Suppose 15 = 27*p - 32*p. Let j = 65 - 70. What is the nearest to 2 in j, p, -2?
-2
Let q be (2/4)/((-1)/18). Let t = 2000.6 + -2001. Which is the nearest to 0.1? (a) 0 (b) q (c) t
a
Suppose 0 = 6*h - 72 - 96. Let s be -2 - 6/(-4) - (-21)/h. Which is the closest to 1? (a) s (b) 4 (c) -2/9
a
Let m = 2/5363 + -11244/1389017. Let x = m + -5/37. Let h = 0.4 + -0.3. Which is the closest to -1? (a) -0.8 (b) x (c) h
a
Let k = 1/1488 - 749/7440. What is the nearest to k in -2/7, -2/15, -8.5, -1/4?
-2/15
Let n = -6975.1 + 6975. Which is the closest to n? (a) 5/3 (b) 1 (c) -4/3
b
Let o(d) = -11*d**2 - 11*d + 39. Let n(h) = 20*h**2 + 22*h - 76. Let r(z) = 6*n(z) + 11*o(z). Let y be r(7). What is the closest to 0.1 in -20, y, -0.2, 0?
0
Let l(y) be the first derivative of -y**2 - 49 + 102 - 43 + 4*y. Let d be l(3). What is the closest to -0.3 in -2/11, d, 3/7?
-2/11
Let u = -47 + 47. Suppose -4*l + 2*c = -10, l - 3*c = -4*c - 2. Let r = 468/2453 + -2/223. What is the closest to r in 5, l, u?
u
Let x = 1 + -1. Let m = -0.176573 - 0.023427. What is the nearest to 1 in m, x, 1?
1
Let z = 4113 - 4116. Let l = 46 + -136/3. What is the nearest to l in 4/11, z, 2/15?
4/11
Let d = -0.1 + 0.2. Let h = 265 - -143. Let n = -406 + h. Which is the closest to d? (a) 4 (b) n (c) -1/8
c
Let z = -1444 + 729. Let b = z + 712. What is the closest to 0.3 in -0.3, b, 0, 2?
0
Let f = 3 - 6. Let o = -0.12951 - -0.02951. What is the nearest to 1/4 in o, f, 3?
o
Let p = -4.2 + 0.6. Let h = -0.6 - p. Let f = -3 - 0. Which is the nearest to 5? (a) h (b) -3/7 (c) f
a
Let j be -2*7 - (54 + -65). What is the nearest to -56 in 0.5, j, -10?
-10
Let w be (3/129)/(100/2150). Let h = 9 - 5. Which is the nearest to -3? (a) h (b) w (c) -0.2
c
Let x = 0.04 - -0.26. Suppose 11 = -3*b - 11*o, -57*b = -59*b + 4*o + 4. What is the nearest to b in -1, 3, x?
x
Let p = -18 + 19.1. Let h = -1.3 + p. What is the closest to h in 0.4, -5, 1?
0.4
Let y = 4429 + -132833/30. Let l = 632 + -6321/10. Let o = y - l. Which is the closest to -2/7? (a) 0.1 (b) 0 (c) o
b
Let j = 27 - 25. Suppose 3*u + 0 - 3 = 0. Let n = -463 - -460. Which is the closest to 0.1? (a) u (b) j (c) n
a
Let d = -0.13415 + 0.02415. What is the nearest to -16 in -3, d, 0, 2?
-3
Let d = 1968 - 1964. Which is the nearest to 2? (a) -2/5 (b) d (c) -4
b
Let l = 39216 - 39219. What is the nearest to 0.2 in 209, l, 0?
0
Let s = -12056/7 - -1722. Let u = 3 - 5. Let f = -26 - -26. What is the nearest to s in -1/4, u, f?
-1/4
Suppose s - 13 = -7. Let j be ((-12)/(-18))/(14/s). Which is the closest to j? (a) 0.5 (b) -1/2 (c) 0.3
c
Let l = 1553 - 1552.9. What is the closest to l in 3, -5/6, -0.2, 0?
0
Let q(o) = 53*o - 1639. Let h be q(31). Which is the nearest to 0.2? (a) -7 (b) h (c) -5 (d) 5
b
Let s(v) = -16*v - 144. Let d be s(-12). Suppose -d = 22*c - 30*c. What is the nearest to 0.8 in -1, -2/5, c?
-2/5
Let x(d) = d**3 + 6*d**2 + 3*d + 5. Let y be x(-5). Let o = -12 + y. Let t be (-10)/(-12)*(-48)/120. Which is the nearest to t? (a) -0.3 (b) o (c) -3
a
Let h = -2358 + 2380. Let g = -58 + 59.04. Let w = 0.04 - g. What is the closest to h in 0.3, -0.3, w?
0.3
Let n = 455 + -7731/17. Let w = n - 25/34. Let h = -173 - -178. Which is the nearest to -0.2? (a) w (b) 1/6 (c) h
a
Suppose 65*q - 70*q = 120. Let h = 215/9 + q. What is the closest to 17/4 in -1/6, h, -1/3?
h
Let a = 5.2 + -5. Let c = -211 + 210. What is the nearest to c in a, 41, 2/3?
a
Let d = -13.103 + 13.203. Let b = 21 + -20.5. What is the nearest to -2 in b, 0, d?
0
Suppose 0 = 169*k - 161*k - 24. Which is the nearest to 0? (a) 105 (b) 0 (c) k
b
Let r = -2/27 + 20/27. Let o = 827028/5 - 165405. What is the nearest to 3 in r, 1/2, 2/5, o?
r
Suppose 0 = s + 3 - 5. Let p(o) = -5 - o**3 - 71*o**s + 70*o**2 - 3. Let v be p(0). What is the closest to 1/4 in 1/7, v, 1?
1/7
Let q be (-1)/(-4 - 33/(-9)). Suppose -5*c - 20 = 0, 0 = -j + q*c + 5 + 3. What is the closest to 0 in -1, j, -2?
-1
Let k = 1275.7 + -1267.7. Which is the nearest to 2/111? (a) -3 (b) -1/11 (c) -1/2 (d) k
b
Let o be (-8 - 6 - -8) + 9. What is the nearest to 2.4 in -5, o, -1, 0.2?
o
Let p be (-12 + 10 + 2)/(2 + -1). Let v = -4.99 + -0.01. Which is the nearest to p? (a) v (b) 2 (c) -0.5
c
Let l be -1*5/45 - (-2232)/(-324). W
|
{
"pile_set_name": "DM Mathematics"
}
|
2*a**2 - 4*a - 7. Let v be h(-9). Let y be v/(-30)*(-1)/4. Let l = y + -21/10. Is -1 at most l?
True
Let f = -83.7 + 1.7. Let m = -65 - f. Which is smaller: 1/4 or m?
1/4
Let v(q) = -4*q**2 + 39*q + 9. Let d be v(10). Which is smaller: -61 or d?
-61
Let l be (-2)/(-9) + (-4136)/(-18). Let n = l + -2532/11. Let c = -57.3 - -57. Is n at least c?
True
Let b(f) = f**3 - f**2 - 3*f + 5. Let j be b(-2). Is j greater than -2/1023?
False
Let q = -26 + 31. Let i = -1 + q. Let v = i + -3.9. Which is bigger: 0.07 or v?
v
Let v = -43 + 98. Let b = v - 54. Is -8/5 > b?
False
Let f be (-14*(-8)/(-16) + 7)/(-1). Is -6/79 > f?
False
Let g = -81.6 + 81. Let n(s) = -7*s**2 + 3*s - 2. Let f be n(1). Is f less than g?
True
Let k(y) = y**2 + 5*y + 4. Let c be k(-4). Let s be (-3 - -5)/(4/(-18)). Let t = s - -6. Which is bigger: c or t?
c
Let a = 45 + -19. Let b = a + -24. Is 0 equal to b?
False
Let v = -17 - -24. Suppose m - 15 = -j, -3*j + 3*m - v*m = -43. Is 17 at least as big as j?
True
Let k = -17 - -28. Let v = k - 11.8. Let j = -63 - -62.9. Which is smaller: j or v?
v
Let f = -24.3 - -24.68. Is f at least -1/2?
True
Let n = -31 - -31. Suppose 0 = -2*o - 2*v + 4, 4*o + n = v - 2. Is o bigger than -1/5?
True
Let z = -152 - -242. Let f = z - 90.1. Which is greater: f or 0.65?
0.65
Let h = 2148 - 544. Let l = h + -11192/7. Which is bigger: l or 4?
l
Suppose 2*i - w + 4 = -9, 6 = -2*w. Let c be (-3)/6*16/i. Which is bigger: c or 1/11?
c
Suppose -2*x + 74 = 3*p, 4*x = -x + 3*p + 164. Is x smaller than 33?
False
Let v be 6/4*-5*(-48)/40. Are v and 41/4 nonequal?
True
Let c(x) = -x**3 + 16*x**2 + 39*x - 52. Let r be c(18). Which is greater: 3 or r?
3
Let f(n) = -n**2 + 1 - 6*n + n + 5*n + 2*n. Let u be f(-1). Which is bigger: -7/4 or u?
-7/4
Let f be (-1 + 0)/(4/(-36)). Let i = 6 + f. Suppose -5*t - 3*s - i = -0*t, 0 = -2*t + 3*s + 15. Is 4/11 equal to t?
False
Let w be 4/(-14)*(-28)/16. Let m = -46 + 57.7. Let z = m - 11. Which is smaller: z or w?
w
Let g = 1634/5 + -327. Is 0 less than or equal to g?
False
Suppose -5*a + 10 = 3*i - a, -16 = -4*i - 4*a. Let j be (-29)/i - (-2 - (-26)/12). Let y(b) = b**2 + 7*b + 6. Let t be y(-4). Which is bigger: t or j?
j
Suppose 2*l + 3*m + 185 = 0, -16 + 106 = -l - 2*m. Which is smaller: l or 1?
l
Let z(y) = -y**2 - 11*y + 9. Let i be z(-10). Suppose -5*s - 39 = -j + 4, -3*j + 5*s = -79. Is j at least i?
False
Let o be (-11)/21 - (-2)/(-6). Let n be 1/(3/13) - (119 + -115). Is n greater than o?
True
Let a(n) = -n**2 - 12*n - 10*n + 15*n + 12. Let b be a(-8). Which is smaller: 13/4 or b?
13/4
Let r = 21 - 20. Let h be (-35)/(-150) + 20/(-15) + 0. Which is greater: h or r?
r
Let r(h) = -10*h + 131. Let m be r(13). Which is smaller: 0.086 or m?
0.086
Suppose 4*f - 696 = -2*f. Let p = 10957253/94500 - -49/3375. Let h = p - f. Which is smaller: h or -1?
-1
Let p = -266 - -866/3. Let s = p + -23. Is s bigger than 9?
False
Let i be (0/52)/(6*1). Which is smaller: i or -1/18?
-1/18
Suppose c + 4*r + 10 = 0, -2*r - 94 = 4*c - 152. Suppose 0*j = -x + 5*j + 22, -j = 2*x - 33. Is c greater than or equal to x?
True
Suppose 628 = 6*j + 160. Let b = j - 77. Is 1 greater than or equal to b?
True
Let n(a) = -a**2 + 7*a. Let k be n(5). Suppose 2*c + 15 = 4*c + y, 4*c - 5*y - 9 = 0. Is k > c?
True
Let o be (1 - 0)*16/(-16). Let z be o/7 + 209/(-7). Let n be ((-16)/(-12))/((-2)/z). Is n less than or equal to 21?
True
Let y(d) = d**3 - d**2 - 16. Let q be y(0). Suppose -5*v + 3*r = 5 + 25, -4*r = v + 29. Let k be (-12)/v*(-20)/q. Is 0 <= k?
True
Suppose 5*y = -3*w - 211, -11*w = -6*w - 4*y + 401. Are -76 and w nonequal?
True
Let i(g) = 4*g**2 + 27*g - 8. Let m be i(-7). Does m = 17/35?
False
Let h = -44.2 + 0.2. Let n = -62 - h. Which is bigger: -1/2 or n?
-1/2
Suppose 0 = -5*x - 9 - 11. Let w = -2 - x. Suppose w - 3 = -o. Do o and 1/4 have different values?
True
Let z(h) = 605*h**2 + 4*h - 3. Let j be z(1). Which is greater: j or 605?
j
Suppose -2*d - 2*d = 0. Suppose -3*l - l = d. Suppose -2*w = -a - 32, -a - 2 + l = 0. Is w < 14?
False
Let d(z) = -132*z**2 - 6*z + 7. Let a be d(1). Which is smaller: -129 or a?
a
Let v = -416 - -251. Let g be ((-4)/(-10))/(117/v). Let c = -3/13 - g. Which is greater: 9 or c?
9
Suppose -t + 5 = 2*i + 2*i, 3*t + 2 = 5*i. Let c be -3 - 3/(-15)*17*t. Is 1 bigger than c?
True
Let o = -0.698 - 0.092. Does 1 = o?
False
Let f be (-238)/6 + (-8)/(-12). Let j = -38 - f. Which is smaller: j or -3/10?
-3/10
Let z = 21.2 + -0.2. Let f = z - 19. Is 4/3 >= f?
False
Let s be 9/3*4/(-6). Let j be 2/(s/(-20)*4). Suppose 2 = -m - j. Which is greater: -6 or m?
-6
Suppose 59 = 5*z + 3*d, 56 = 4*z - 0*d - 2*d. Suppose -b + z = 1. Let g(s) = -3*s + 27. Let h be g(b). Is -7 < h?
False
Let s be (-1)/(1/6*-9). Which is greater: -18/5 or s?
s
Let t(p) = 2*p**2 - 27*p + 14. Let b be t(13). Let n = -14.909 + 14.8. Which is greater: n or b?
b
Let f be ((-1)/(-3))/(2 - 113/57). Suppose -3*v - 11 = -2*r + 66, v = 4*r - f. Is -28 > v?
False
Let a be -1 + 2 + 2 + -3. Let t be 2 - 0 - a/2. Let h be t/6*(1 + -7). Which is smaller: -3 or h?
-3
Suppose 0 = 4*l - 2*k - 2*k - 240, 15 = -5*k. Which is smaller: l or 54?
54
Let g be (34 - 35)/(1 - (-2 - 5)). Let j = 52/3 + 13/6. Let f = 19 - j. Is f <= g?
True
Suppose -8 - 2 = -2*y. Let g be y + -2 - (-51)/(-18). Which is smaller: -1 or g?
-1
Suppose -1 = c - 6. Let d be 15/4 + (-5 - -7). Is c at most as big as d?
True
Let w = -52 + 66. Which is greater: w or 1/5?
w
Let s be (-9)/(-15)*(-472)/6 - -3. Let u = 44 + s. Which is bigger: u or 1?
1
Let p = -67 + 57. Let h = 52 - 54. Which is smaller: p or h?
p
Let h = -64786608/386555 + -2/77311. Do -167 and h have the same value?
False
Suppose -7*h + h = 156. Let r = h - -25. Which is bigger: r or -5/3?
r
Suppose 0 = -350*a + 346*a + 924. Is a >= 0?
True
Suppose -n - c + 21 = -5*c, -5*c - 29 = -4*n. Are 0.1034 and n non-equal?
True
Let j = -1016 + 1015.94. Let i(d) = -d + 3. Let h be i(4). Let k = 0 - h. Which is smaller: j or k?
j
Let g be ((-4)/(-8))/(5/50). Let y = 8 + -3. Are g and y equal?
True
Let q = 2.49 - 56.49. Which is greater: 1/3 or q?
1/3
Let j = -300 - -301. Is -1/55 >= j?
False
Let m = 0.2 - 0. Suppose -4*k - 2*p = -98, 5*p = -3*k + k + 61. Is m greater than k?
False
Let t(b) = -b**2 - 6*b + 74. Let n be t(6). Which is greater: 36/17 or n?
36/17
Suppose -2*i + 11*i = -45. Let g be ((i/50)/1)/((-2)/35). Which is smaller: 2 or g?
g
Let x = 422/21 + -1994/63. Which is smaller: x or -11?
x
Let d(a) = -3*a**2 + 10*a - 5. Let v be d(4). Let o = v + 17. Is o smaller than -5?
False
Let q = -422.9 + 423. Which is smaller: 2.12 or q?
q
Let g be 1/4 - 13/52. Let n = 0 - g. Let u be (2/(-12))/((-2)/4). Which is greater: u or n?
u
Let d(u) = u**3 + 8*u**2 + 16*u + 43. Let s be d(-6). Which is smaller: s or 8?
8
Suppose -p - 4*p = -190. Suppose -18 - p = -4*q. Which is bigger: q or 15?
15
Let p be 2*1/10 + (-104)/20. Let y(b) be the first derivative of b**4/4 + 5*b**3/3 + 5*b**2/2 + 2*b - 6. Let n be y(-4). Is p at least n?
False
Let j = -0.8 + 12.8. Let v = 9 - j. Let s = -3.01 + 0.01. Is v greater than s?
False
Suppose 5 = -2*h - 5*u - 3, -h = -3*u - 7. Is h less than 9/46?
False
Let b be 36/(-33)*(-18 - 3). Which is greater: 22 or b?
b
Suppose -28 = -5*s - 13. Let o(q) = q**3 + 8*q**2 - 3*q - 11. Let y be o(-6). Suppose -y*a = -73*a - 24. Is a equal to s?
False
Let o be (-1)/(249/896 - (-12)/(-42)). Which is greater: o or -1?
o
Let u = 48 - 16. Let c be ((-3)/(-4))/(1/u). Suppose -2*r = -6*r - c. Does r = -5?
False
Suppose -9*g + 15 = -8*g. Let z = g - -37. Is z smaller than 51?
False
Let o be (6/(-8))/(((-630)/(-24))/(-3)). Is o at most -1?
False
Let w = -11 + 7.3. Let m = w + 3.6. Which is smaller: m or 0.012?
m
Suppose 0 = 2*a - 0*a - 46. Let c = 41 + -17. Which is bigger: a or c?
c
Suppose 0 = i - 3, 0*u + 4 = -u + i. Let t(x) = 4*x**2 - 3. Let j be t(u). Does -7/8 = j?
False
Let o = 252 - 253. Which is smaller: -1/336 or o?
o
Suppose -2*y + 0*y + 5*n + 24 = 0, 5*n - 20 = 0. Let j be (3 + 14)*-1 + -21 + 22. Let a = y + j. Which is greater: a or 7?
7
Let s = -30 + 36. Suppose 0 = -3*j + 6*j + s. Is -8/5 >= j?
True
Let r = -0.0724 - -129.0724. Does 1/3 = r?
False
Let l be 1*11/(-4) + 2. Let m = -0.06 + 0.06. Let o = -1 + m. Is o at most l?
True
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
). Find the third derivative of w**2 - u*w**4 + 16*w**4 + 2*w**2 wrt w.
168*w
Let n(m) be the first derivative of -101*m**2 - 293*m + 226. Differentiate n(z) with respect to z.
-202
Let x be 1*-1 - (0 - 2). Let z be (-1258)/(-518) + (-4)/(-7). Differentiate -q**2 - 1 + z - x wrt q.
-2*q
Find the third derivative of -138*l**2 - 18*l**3 + 90*l**2 + 91*l**2 wrt l.
-108
Let r(j) be the first derivative of 2 + 3*j**2 + 21*j**2 - 7*j**2 + 0 + 7*j**4. What is the second derivative of r(i) wrt i?
168*i
Find the second derivative of 8162*c - 797*c**2 - 8166*c - 87 + 28 wrt c.
-1594
Find the third derivative of -s**3 + 33*s + 7*s**3 - 35*s - 7*s**3 - 441*s**2 - 116*s**2 - 4*s**5 wrt s.
-240*s**2 - 6
Differentiate 20*c**4 + 545 - 53*c**4 - 55*c**4 - 3*c**3 - 112*c**4 wrt c.
-800*c**3 - 9*c**2
What is the second derivative of 44*z + z**3 + 13*z - 168*z**2 + 2 + 15*z wrt z?
6*z - 336
Suppose -5*v + 2*t + 4 - 2 = 0, 4*t - 16 = 0. Differentiate -14*d**v + 3 + 3*d**2 - 17*d**2 wrt d.
-56*d
Let b(q) = -q**2 - q + 4. Let c(m) = -m + 12. Let i be c(12). Let j be b(i). Differentiate -5 + 3*z**4 - j*z**4 - 2*z**4 + 0*z**4 wrt z.
-12*z**3
Let s(w) be the first derivative of 3*w**5/5 + 25*w**4/4 + 224*w - 67. Differentiate s(i) wrt i.
12*i**3 + 75*i**2
Let z(n) be the second derivative of 5/3*n**3 + 0 + 2*n + 1/12*n**4 - n**2. Let a(q) be the first derivative of z(q). Differentiate a(d) with respect to d.
2
Let p(u) be the first derivative of 811*u**4/4 - 782*u + 827. What is the derivative of p(b) wrt b?
2433*b**2
Let o(p) be the third derivative of -p**6/24 - 3*p**5/20 - 11*p**4/24 - 7*p**3/6 + 318*p**2. Find the second derivative of o(h) wrt h.
-30*h - 18
Find the second derivative of -13542*z - 22*z**4 + 13557*z + 3 + 0 - 2*z**3 wrt z.
-264*z**2 - 12*z
Let n = -14 + 17. What is the first derivative of 2*g**n - g**4 - 12 + 13 - 2*g**3 wrt g?
-4*g**3
Let a(n) be the third derivative of 5*n**6/12 - n**5/60 - 35*n**4/24 + 22*n**2 - 2. What is the third derivative of a(r) wrt r?
300
What is the third derivative of -512*x**3 - 72*x**2 + x - 387*x**3 - 441*x**3 + 1231*x**3 wrt x?
-654
Let o(p) = -44*p**2 + 20*p - 273. Let g(n) = 22*n**2 - 12*n + 136. Let m(t) = -5*g(t) - 3*o(t). What is the derivative of m(q) wrt q?
44*q
Let u be 20/(-30)*177/(-2). What is the second derivative of u*c**4 + 5 - 5 + 8*c - 57*c**4 wrt c?
24*c**2
Let n(w) = w**2 + 2*w + 2. Let k(l) = 5*l**2 + 5*l - 23. Let z(q) = k(q) - 2*n(q). Differentiate z(y) wrt y.
6*y + 1
Let h(d) = d**4 + 2*d**3 + d**2. Let y(a) = -a**3 - a**2. Let c be -4 + 0/(8/4). Let s(l) = c*y(l) - 2*h(l). What is the third derivative of s(v) wrt v?
-48*v
What is the second derivative of 280*r**4 - 17*r + 395*r**4 + 39 + 20*r - 172*r**4 wrt r?
6036*r**2
Let g(a) be the second derivative of -11/6*a**4 + 0 + 0*a**3 - 10*a - 14*a**2. What is the first derivative of g(p) wrt p?
-44*p
Find the first derivative of 1588 - 1558 - 183*k**4 + 46*k**4 wrt k.
-548*k**3
Differentiate -178130*t**2 + 2*t**3 - 12 + 2*t + 178130*t**2 wrt t.
6*t**2 + 2
Let o(y) be the third derivative of -2*y**7/5 - 4*y**5/15 + y**4/12 - 8*y**2. What is the third derivative of o(c) wrt c?
-2016*c
Suppose 97 - 97 = j. Let m(s) be the second derivative of 5/2*s**2 + 2/3*s**3 + j + 2*s. Find the first derivative of m(u) wrt u.
4
Let l be -2 + (28 - -3) + 3. Let y be (l/(-20))/((-4)/10). What is the second derivative of -2*p**y + 2 - 2 + 2*p - 6*p wrt p?
-24*p**2
Let s(f) be the third derivative of 16*f**4/3 + 13*f**3/3 - 16*f**2 - 1. Find the first derivative of s(t) wrt t.
128
Let i(q) be the second derivative of -3*q**4/4 + q**3/6 - 32*q**2 - 62*q. Differentiate i(o) wrt o.
-18*o + 1
Let b(d) = -10*d**2 + 4*d + 109. Let x(q) = 8*q**2 - 3*q - 109. Let z(g) = -2*b(g) - 3*x(g). Differentiate z(w) with respect to w.
-8*w + 1
Let n(p) = -15*p**5 - 181*p**2 + 306*p + 13. Let q(u) = 7*u**5 + 90*u**2 - 153*u - 6. Let x(y) = 6*n(y) + 13*q(y). Find the second derivative of x(i) wrt i.
20*i**3 + 168
Let n(y) be the first derivative of -y**6/3 - 9*y**4/4 + 416*y**3/3 - 432. Find the third derivative of n(k) wrt k.
-120*k**2 - 54
Let w(h) be the second derivative of 1/24*h**4 - 5/6*h**3 + 0 + 3/2*h**2 - 5*h. Let q(n) be the first derivative of w(n). Differentiate q(p) wrt p.
1
Let c(w) be the second derivative of 28*w**4/3 - 42*w**2 - 74*w. Differentiate c(r) wrt r.
224*r
Let n(i) be the first derivative of 2/3*i**3 - 4 + 1/3*i**4 + 0*i**2 - 3*i. Let j(s) be the first derivative of n(s). Find the second derivative of j(o) wrt o.
8
Let c be -3 + 25 - (3 - 5). Find the third derivative of -6*h**2 - c*h + 24*h - 19*h**5 wrt h.
-1140*h**2
Let x(h) = -h + 1. Let f be x(-2). Find the second derivative of 60 + 2*k**3 - f*k**3 - 60 + 4*k wrt k.
-6*k
Let x(v) = 355*v + 415. Let w(g) = 2485*g + 2915. Let f(i) = -2*w(i) + 15*x(i). What is the first derivative of f(q) wrt q?
355
Let l(y) = -145*y**4 + 6*y**3 - 138*y. Let s(v) = -289*v**4 + 11*v**3 - 277*v. Let u(n) = -11*l(n) + 6*s(n). What is the second derivative of u(m) wrt m?
-1668*m**2
Let o(l) = l**2 + 10*l + 5. Let h be o(-10). What is the third derivative of -5*v**3 + 4*v**2 + 3*v**2 - 4*v**2 - h*v**3 wrt v?
-60
Let r = -5 + 14. Suppose 1 = -x + r. What is the second derivative of -2*f - 5*f - 4*f**4 - 5*f + x*f wrt f?
-48*f**2
Let o(f) be the first derivative of -3*f**6/40 - 7*f**5/30 + 9*f**3 - 20. Let j(l) be the third derivative of o(l). Find the second derivative of j(w) wrt w.
-54
Let n(m) be the first derivative of 0*m**5 + 0*m**2 + 0*m**4 - 2/7*m**7 + 0*m**6 - 7/3*m**3 + 12 + 0*m. Find the third derivative of n(d) wrt d.
-240*d**3
Let l(h) = -2*h**2 - 2*h. Let f(n) = 59*n**2 - 9*n - 14. Let p(i) = -f(i) + 2*l(i). Find the second derivative of p(r) wrt r.
-126
Let p(x) be the third derivative of -331*x**8/336 + x**5/4 + 2*x**3/3 + 25*x**2 + 2*x. What is the third derivative of p(k) wrt k?
-19860*k**2
What is the derivative of -19*i + 4*i**3 + 9*i + 10*i + 66 wrt i?
12*i**2
What is the derivative of 240 - 107*d**3 + 189*d**3 - 91*d**3 - 3*d + 3*d + 3*d**4 wrt d?
12*d**3 - 27*d**2
Let t(b) = -790*b**3 - 28*b**2 + 31. Let v(q) = -789*q**3 - 24*q**2 + 32. Let f(j) = -6*t(j) + 7*v(j). What is the first derivative of f(i) wrt i?
-2349*i**2
Let d(g) = -17*g**3 - 5*g**2 + 5*g + 19. Let o(i) = -60 + 2*i**2 - 4*i**2 + 61 + i + i**2. Let r(f) = d(f) - 5*o(f). Differentiate r(a) wrt a.
-51*a**2
Let t(v) be the second derivative of -281*v**8/56 - 257*v**4/12 - 76*v. Find the third derivative of t(y) wrt y.
-33720*y**3
Let c(m) be the first derivative of -11*m - 11/3*m**3 - 9 + 0*m**2. Differentiate c(q) with respect to q.
-22*q
Differentiate 366*z**2 + z**4 + 0*z**4 - 195 + 720 + 99 with respect to z.
4*z**3 + 732*z
Let p(y) = -9*y - 51. Let t be p(-6). What is the third derivative of 2*z**2 - 23*z**2 - 9*z**6 - t*z**6 wrt z?
-1440*z**3
Find the second derivative of -363*a**2 + 295*a**2 - 339*a + 244*a**2 wrt a.
352
Let s(m) be the second derivative of 0 + 0*m**5 - 11/30*m**6 - 16*m + 0*m**3 - 3/2*m**2 + 0*m**4. What is the first derivative of s(i) wrt i?
-44*i**3
Let q(a) = 27 - 128*a - 12 + 138*a. Let h = -13 + 8. Let n(o) = 11*o + 16. Let x(j) = h*q(j) + 4*n(j). Find the first derivative of x(z) wrt z.
-6
Let c(g) = -102*g**2 + 32*g + 20. Let j(n) = 68*n**2 - 22*n - 13. Let k(v) = -5*c(v) - 7*j(v). Find the second derivative of k(w) wrt w.
68
Let l(s) = -145*s**2 - s + 9. Let y(v) = 144*v**2 - 5. Let t(c) = 2*l(c) + 3*y(c). Find the second derivative of t(g) wrt g.
284
What is the third derivative of 6*u**2 - 7*u**2 + u**2 - 324 + 117*u**5 - 2*u**2 - 631*u**5 wrt u?
-30840*u**2
Let f be 0 + 1 + (3 - 5). Let x be (7 + -6)/(f/(-2)). Find the first derivative of x*y**2 + 63*y - 1 - 63*y wrt y.
4*y
Find the second derivative of -2*r**3 - 103497*r + 2*r**3 - 137 - r**2 + 80*r**4 + 103501*r wrt r.
960*r**2 - 2
Let k be (1 + 0)*77/14*8. Find the second derivative of 11*c - 5*c**4 + k + 45 - 89 wrt c.
-60*c**2
What is the second derivative of -19 + 6 + 2*c + 101*c**2 - 63*c**2 wrt c?
76
Let m = -1 - -4. What is the third derivative of 0*z**m + 11*z**3 - 10*z**2 - 26*z**3 wrt z?
-90
Let k(f) = 2*f**2. Let m(r) = 9*r**2 + 96*r + 519. Let w(z) = 6*k(z) - m(z). Differentiate w(o) wrt o.
6*o - 96
Let y(o) be the second derivative of -7/12*o
|
{
"pile_set_name": "DM Mathematics"
}
|
3?
4
What is the thousands digit of 10198?
0
What is the ten thousands digit of 228840?
2
What is the units digit of 5955069?
9
What is the units digit of 1916502?
2
What is the tens digit of 283127?
2
What is the units digit of 406528?
8
What is the tens digit of 1458001?
0
What is the units digit of 7754453?
3
What is the ten thousands digit of 10120483?
2
What is the hundreds digit of 115499?
4
What is the tens digit of 1353854?
5
What is the ten thousands digit of 456362?
5
What is the units digit of 349673?
3
What is the tens digit of 501863?
6
What is the thousands digit of 169016?
9
What is the thousands digit of 2441693?
1
What is the hundreds digit of 19238279?
2
What is the units digit of 267003?
3
What is the thousands digit of 667567?
7
What is the hundreds digit of 176957?
9
What is the hundreds digit of 2145906?
9
What is the hundreds digit of 203316?
3
What is the thousands digit of 1409902?
9
What is the millions digit of 8201768?
8
What is the tens digit of 2058054?
5
What is the hundred thousands digit of 9775849?
7
What is the hundred thousands digit of 1963020?
9
What is the ten thousands digit of 1178553?
7
What is the tens digit of 319224?
2
What is the millions digit of 1924003?
1
What is the millions digit of 2339903?
2
What is the hundreds digit of 168211?
2
What is the ten thousands digit of 12610446?
1
What is the ten thousands digit of 1374474?
7
What is the millions digit of 3310390?
3
What is the thousands digit of 682445?
2
What is the units digit of 4640361?
1
What is the hundred thousands digit of 272842?
2
What is the units digit of 408958?
8
What is the hundred thousands digit of 186394?
1
What is the hundreds digit of 3653725?
7
What is the thousands digit of 321419?
1
What is the hundreds digit of 929473?
4
What is the hundreds digit of 1234587?
5
What is the units digit of 210959?
9
What is the hundreds digit of 82553?
5
What is the hundred thousands digit of 1417757?
4
What is the hundred thousands digit of 552542?
5
What is the hundreds digit of 369529?
5
What is the ten thousands digit of 191603?
9
What is the hundred thousands digit of 158549?
1
What is the tens digit of 227925?
2
What is the ten thousands digit of 589940?
8
What is the thousands digit of 7171309?
1
What is the units digit of 19787287?
7
What is the millions digit of 4955917?
4
What is the hundreds digit of 3845733?
7
What is the thousands digit of 831035?
1
What is the ten thousands digit of 9724068?
2
What is the ten thousands digit of 1918252?
1
What is the ten thousands digit of 148495?
4
What is the hundred thousands digit of 1315900?
3
What is the ten thousands digit of 7633489?
3
What is the tens digit of 2215223?
2
What is the units digit of 1403900?
0
What is the thousands digit of 1370298?
0
What is the hundreds digit of 1792211?
2
What is the hundreds digit of 643420?
4
What is the millions digit of 5309157?
5
What is the hundred thousands digit of 250435?
2
What is the tens digit of 3930925?
2
What is the hundred thousands digit of 4944230?
9
What is the ten thousands digit of 360256?
6
What is the tens digit of 794910?
1
What is the tens digit of 220390?
9
What is the thousands digit of 354993?
4
What is the tens digit of 688202?
0
What is the tens digit of 2618306?
0
What is the thousands digit of 373267?
3
What is the units digit of 51452?
2
What is the units digit of 154991?
1
What is the ten thousands digit of 103410?
0
What is the hundreds digit of 11679216?
2
What is the tens digit of 427495?
9
What is the millions digit of 20828636?
0
What is the hundred thousands digit of 29561494?
5
What is the millions digit of 1490357?
1
What is the millions digit of 22416664?
2
What is the units digit of 274339?
9
What is the units digit of 1027448?
8
What is the ten thousands digit of 41631?
4
What is the ten thousands digit of 215758?
1
What is the ten thousands digit of 449830?
4
What is the tens digit of 35935?
3
What is the hundred thousands digit of 918394?
9
What is the thousands digit of 1302813?
2
What is the thousands digit of 40784?
0
What is the tens digit of 401893?
9
What is the units digit of 2272304?
4
What is the tens digit of 1674120?
2
What is the hundred thousands digit of 182749?
1
What is the hundreds digit of 487324?
3
What is the millions digit of 1516189?
1
What is the thousands digit of 246925?
6
What is the ten thousands digit of 1099752?
9
What is the hundreds digit of 558432?
4
What is the tens digit of 607904?
0
What is the ten thousands digit of 66345?
6
What is the ten thousands digit of 12210574?
1
What is the units digit of 3916102?
2
What is the tens digit of 12384095?
9
What is the thousands digit of 1798918?
8
What is the units digit of 335096?
6
What is the hundred thousands digit of 16657682?
6
What is the hundreds digit of 792615?
6
What is the hundreds digit of 685210?
2
What is the tens digit of 6698056?
5
What is the hundreds digit of 1007782?
7
What is the ten thousands digit of 5569891?
6
What is the units digit of 192859?
9
What is the millions digit of 7270645?
7
What is the hundred thousands digit of 2856679?
8
What is the hundreds digit of 167341?
3
What is the units digit of 121246?
6
What is the hundreds digit of 7313581?
5
What is the units digit of 28542?
2
What is the units digit of 804997?
7
What is the millions digit of 2535123?
2
What is the hundreds digit of 7135915?
9
What is the tens digit of 49409?
0
What is the ten thousands digit of 667809?
6
What is the hundreds digit of 739090?
0
What is the tens digit of 183320?
2
What is the hundreds digit of 503499?
4
What is the ten thousands digit of 4119447?
1
What is the thousands digit of 246804?
6
What is the units digit of 23270?
0
What is the millions digit of 3532096?
3
What is the units digit of 183919?
9
What is the hundred thousands digit of 6511970?
5
What is the ten thousands digit of 374735?
7
What is the millions digit of 3471973?
3
What is the millions digit of 10772700?
0
What is the thousands digit of 1710070?
0
What is the ten thousands digit of 355287?
5
What is the thousands digit of 336563?
6
What is the hundred thousands digit of 110317?
1
What is the hundreds digit of 41056?
0
What is the tens digit of 5732491?
9
What is the tens digit of 1581956?
5
What is the ten thousands digit of 31564?
3
What is the units digit of 489534?
4
What is the units digit of 221347?
7
What is the thousands digit of 150802?
0
What is the ten thousands digit of 8884931?
8
What is the tens digit of 11598169?
6
What is the thousands digit of 2378305?
8
What is the millions digit of 12605444?
2
What is the units digit of 86293?
3
What is the hundreds digit of 2676707?
7
What is the hundreds digit of 626343?
3
What is the units digit of 250575?
5
What is the thousands digit of 3344?
3
What is the hundred thousands digit of 5378853?
3
What is the hundreds digit of 174602?
6
What is the tens digit of 424728?
2
What is the tens digit of 11077178?
7
What is the units digit of 859751?
1
What is the tens digit of 12443659?
5
What is the ten thousands digit of 190428?
9
What is the hundreds digit of 19694748?
7
What is the hundreds digit of 6712230?
2
What is the tens digit of 16251144?
4
What is the hundreds digit of 6558941?
9
What is the tens digit of 540785?
8
What is the hundreds digit of 3790380?
3
What is the units digit of 7636830?
0
What is the hundreds digit of 10907240?
2
What is the hundred thousands digit of 4964507?
9
What is the hundreds digit of 2485641?
6
What is the hundreds digit of 1430447?
4
What is the units digit of 153859?
9
What is the ten thousands digit of 806886?
0
What is the ten thousands digit of 13150402?
5
What is the tens digit of 10522?
2
What is the hundreds digit of 216229?
2
What is the tens digit of 42869?
6
What is the tens digit of 659403?
0
What is the units digit of 22194140?
0
What is the ten thousands digit of 1005582?
0
What is the tens digit of 6676101?
0
What is the units digit of 10296429?
9
What is the millions digit of 3643900?
3
What is the ten thousands digit of 20592716?
9
What is the millions digit of 4967019?
4
What is the ten thousands digit of 1392223?
9
What is the units digit of 246577?
7
What is the thousands digit of 196462?
6
What is the hundreds digit of 3133445?
4
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(2)) + sqrt(2) + -1*sqrt(10)/sqrt(5) + sqrt(2).
2*sqrt(2)
Simplify sqrt(24)/(sqrt(24)/(sqrt(2)*1)) + -1.
-1 + sqrt(2)
Simplify (sqrt(108) + 2*sqrt(108))*3.
54*sqrt(3)
Simplify (sqrt(128) + (sqrt(128) - (-1 + sqrt(128) + 0)))**2.
16*sqrt(2) + 129
Simplify (-3 + ((sqrt(99) + sqrt(99) + -1)*4 - 2*(sqrt(99)*-1 - sqrt(99))))**2.
-504*sqrt(11) + 14305
Simplify -2 + 2*sqrt(637) + ((0 + ((sqrt(637)*2 - sqrt(637)) + sqrt(637) - sqrt(637)))**2 - sqrt(637)) + -2.
7*sqrt(13) + 633
Simplify -3 + 5*sqrt(13)*3.
-3 + 15*sqrt(13)
Simplify (-5*sqrt(130)*2)/(sqrt(10) - ((sqrt(70)*-3 - sqrt(70)) + sqrt(70))/sqrt(7)).
-5*sqrt(13)/2
Simplify -1*((-4*sqrt(8) - sqrt(2)) + sqrt(128)).
sqrt(2)
Simplify sqrt(132)/(-1*sqrt(972) - sqrt(12)).
-sqrt(11)/10
Simplify (1 + sqrt(2736) - sqrt(171)/sqrt(144))**2 + (-5*(sqrt(19) + 0 + 1))**2.
147*sqrt(19)/2 + 49987/16
Simplify (sqrt(204) - (sqrt(204) + -4*-2*sqrt(204)))/(sqrt(72)/(sqrt(12)/sqrt(2))).
-8*sqrt(17)
Simplify (-2 + sqrt(42)/(-2*sqrt(486))*-1)**2.
-2*sqrt(7)/9 + 1303/324
Simplify (sqrt(3) - sqrt(147)*-1) + sqrt(48).
12*sqrt(3)
Simplify sqrt(68) + (sqrt(68) + 0)**2*-3.
-204 + 2*sqrt(17)
Simplify (sqrt(72)*-1)**2 + -5*(sqrt(50))**2.
-178
Simplify (sqrt(35)/(sqrt(500)*1 - sqrt(5)))**2.
7/81
Simplify (sqrt(192))**2*6 + (4 + sqrt(243))**2.
72*sqrt(3) + 1411
Simplify (sqrt(55) + (2*sqrt(1375) - sqrt(1375)))/(-4*(sqrt(80) + sqrt(5))).
-3*sqrt(11)/10
Simplify ((1 + sqrt(3))*3)**2 + (sqrt(12)/sqrt(4) + sqrt(3))**2*-4.
-12 + 18*sqrt(3)
Simplify (-1*(5 + (sqrt(70) - -4*sqrt(70))/sqrt(10)))**2.
50*sqrt(7) + 200
Simplify (sqrt(11) - (sqrt(77)/sqrt(112) - sqrt(11)))**2 + -3 + 1*sqrt(11).
sqrt(11) + 491/16
Simplify (5 + sqrt(684) + ((-1*sqrt(684) + sqrt(684))*-2 - sqrt(684)) + -4)**2.
1
Simplify -3*(sqrt(1872) + (sqrt(1872)*-5 + sqrt(1872))**2).
-89856 - 36*sqrt(13)
Simplify (sqrt(425) + -2)*5*-3.
-75*sqrt(17) + 30
Simplify 5 + -5*(sqrt(12) - sqrt(3))*-3.
5 + 15*sqrt(3)
Simplify sqrt(39)/(sqrt(12)/sqrt(4)) - (-4 + 2 + sqrt(13)).
2
Simplify ((sqrt(40)*-1)/sqrt(5))/(sqrt(4) - sqrt(144)/sqrt(4) - sqrt(4)).
sqrt(2)/3
Simplify -2*(sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) + (2*sqrt(320))**2))) - sqrt(320)) - 2*(2*sqrt(320))**2.
16*sqrt(5)
Simplify (sqrt(50) + sqrt(50) + (2*sqrt(350))/sqrt(7))/((sqrt(10) + (sqrt(10) - sqrt(30)/sqrt(3)))*-6).
-2*sqrt(5)/3
Simplify (sqrt(17) + -3*sqrt(2057))*3.
-96*sqrt(17)
Simplify (sqrt(65) + (-1*sqrt(65)*-1 - sqrt(65)))/(-1*sqrt(5)*5).
-sqrt(13)/5
Simplify (5 + -2 + sqrt(7))**2 - (sqrt(343) + 2).
-sqrt(7) + 14
Simplify sqrt(343) - (sqrt(343) - sqrt(343)*-1)**2*4 - sqrt(343).
-5488
Simplify (sqrt(1584) + sqrt(1584)*-1)/(sqrt(36)*2).
0
Simplify (sqrt(975)*2)/sqrt(3).
10*sqrt(13)
Simplify 1 + sqrt(76)/sqrt(576).
sqrt(19)/12 + 1
Simplify sqrt(51)/(sqrt(3) + sqrt(432)*1 + sqrt(432) + sqrt(3)).
sqrt(17)/26
Simplify (sqrt(12)/sqrt(96) + (0 + sqrt(242) - sqrt(2) - sqrt(2)))**2.
1369/8
Simplify sqrt(14)/sqrt(2)*-4 - ((-1*sqrt(7))**2 + -1).
-4*sqrt(7) - 6
Simplify (2*sqrt(209)*-2)/((sqrt(77)*1)/sqrt(7))*3.
-12*sqrt(19)
Simplify (sqrt(11) - (-1 + sqrt(11) + -5))*1.
6
Simplify (3*(sqrt(17) + 1 + sqrt(17)))**2 + 4.
36*sqrt(17) + 625
Simplify sqrt(45)/(2*sqrt(324)).
sqrt(5)/12
Simplify (2 + -4 + sqrt(63) + -3)*5.
-25 + 15*sqrt(7)
Simplify (sqrt(3) - -5*sqrt(15)/sqrt(5)) + -3.
-3 + 6*sqrt(3)
Simplify -5 + (sqrt(7)*1)**2 + 1.
3
Simplify sqrt(108)/sqrt(324) + -4.
-4 + sqrt(3)/3
Simplify sqrt(91)/(-6*sqrt(63)/sqrt(9)).
-sqrt(13)/6
Simplify sqrt(28)*-1*2 + 3*(sqrt(7) + 1) + sqrt(63)/(sqrt(9) + sqrt(81)).
-3*sqrt(7)/4 + 3
Simplify sqrt(2) - sqrt(8)*-6 - (2 + sqrt(242))**2.
-246 - 31*sqrt(2)
Simplify 5 + (sqrt(2) - (sqrt(10)/sqrt(80))**2).
sqrt(2) + 39/8
Simplify -2 + (0 + sqrt(320) + sqrt(320))**2 + 3.
1281
Simplify (sqrt(525) - -2*sqrt(525))/sqrt(3).
15*sqrt(7)
Simplify 0 + ((1*sqrt(65) + sqrt(65))*-2)/sqrt(5).
-4*sqrt(13)
Simplify (sqrt(475) + 1 - sqrt(475))**2 + 5 + (5*(sqrt(19)*1 + 0))**2.
481
Simplify (4 + 5 + sqrt(17)*-2 + 5)**2.
-56*sqrt(17) + 264
Simplify -2 + (sqrt(19) - 2*sqrt(304)) - (4*(sqrt(1216)*-1 + sqrt(1216)))**2.
-7*sqrt(19) - 2
Simplify -4*((sqrt(19) - sqrt(38)/sqrt(2)*-5) + (sqrt(684) - (0 + sqrt(684)))**2).
-24*sqrt(19)
Simplify -4*(6*(sqrt(13)*2 - sqrt(13))*1)**2.
-1872
Simplify (1*sqrt(891)*-2 + sqrt(891))**2 + sqrt(891).
9*sqrt(11) + 891
Simplify (sqrt(405)*-1 + sqrt(405) + 3 + sqrt(405))**2.
54*sqrt(5) + 414
Simplify sqrt(11) + (sqrt(11) + 2)*6 - (sqrt(11) + (sqrt(33)/sqrt(3))**2*-6).
6*sqrt(11) + 78
Simplify 6*1*sqrt(63)*3.
54*sqrt(7)
Simplify 5*((sqrt(17) - (1 + sqrt(272))) + sqrt(17) + (2*sqrt(34)/sqrt(2))**2).
-10*sqrt(17) + 335
Simplify (sqrt(204)*-1)/sqrt(12) + (sqrt(17) - sqrt(153)/sqrt(81)).
-sqrt(17)/3
Simplify 3*sqrt(104)/(sqrt(32)/sqrt(4)).
3*sqrt(13)
Simplify (-1*sqrt(19) + -3)**2*-1.
-28 - 6*sqrt(19)
Simplify (-5*-1*sqrt(171))/(-4*sqrt(18)/sqrt(2)).
-5*sqrt(19)/4
Simplify 5*-4*(sqrt(1300) + -1)**2*6.
-156120 + 2400*sqrt(13)
Simplify (sqrt(112) + -2*sqrt(112)*-4 + -3)**2.
-216*sqrt(7) + 9081
Simplify (sqrt(120)/(-1*sqrt(3)) - sqrt(40))/(sqrt(8)*1*6).
-sqrt(5)/3
Simplify 3*-6*(4 + -1 + sqrt(17)).
-18*sqrt(17) - 54
Simplify (sqrt(11) + -2 + sqrt(11) + sqrt(99))*4.
-8 + 20*sqrt(11)
Simplify -5 + -1*sqrt(5) - (-2 + sqrt(5))*-5.
-15 + 4*sqrt(5)
Simplify (2*(sqrt(700) + sqrt(700) + -5 + (sqrt(700) - sqrt(700)*-4)))**2.
-2800*sqrt(7) + 137300
Simplify (sqrt(60)/(sqrt(48) + sqrt(12)))**2 + sqrt(15)/(sqrt(3)*2).
5/9 + sqrt(5)/2
Simplify ((2*sqrt(102))/sqrt(6)*-2 - (2 + sqrt(136)/sqrt(2)))**2.
24*sqrt(17) + 616
Simplify sqrt(189)/sqrt(3) - (sqrt(35)/sqrt(5) + sqrt(7) + 0).
sqrt(7)
Simplify 3 + sqrt(133)/sqrt(7) + (sqrt(19) - (-3 + sqrt(19) + 0)).
sqrt(19) + 6
Simplify (sqrt(495)/sqrt(144) + sqrt(55))/(sqrt(50)/(-2*sqrt(10))).
-5*sqrt(11)/2
Simplify (-2 + sqrt(1331) + 0)**2*-3.
-4005 + 132*sqrt(11)
Simplify -5*(2*sqrt(325) + sqrt(325))**2 + 5.
-14620
Simplify (-5*(sqrt(17) - -1*(sqrt(51)/sqrt(3) - sqrt(17)) - (sqrt(1700) + sqrt(1700)*1 - sqrt(17))))**2.
137700
Simplify (sqrt(104)/sqrt(2)*2)/((sqrt(48)/sqrt(6))/sqrt(2)).
2*sqrt(13)
Simplify (sqrt(612) + 3)*-5.
-30*sqrt(17) - 15
Simplify 2*-5*(5 + sqrt(56)/sqrt(8) + sqrt(7) + sqrt(7) + sqrt(7)).
-40*sqrt(7) - 50
Simplify 4*(6*(-1 + sqrt(17) + sqrt(17)) + (-1*sqrt(2448) + sqrt(2448))**2).
-24 + 48*sqrt(17)
Simplify ((-1*sqrt(98) + sqrt(98))/sqrt(2))/(sqrt(35)/sqrt(5)*5).
0
Simplify 4*sqrt(119)/(2*sqrt(42)/sqrt(6) + sqrt(7)).
4*sqrt(17)/3
Simplify (-5*sqrt(342)/sqrt(6))/(sqrt(300) - sqrt(300)*2).
sqrt(19)/2
Simplify sqrt(6)/sqrt(450).
sqrt(3)/15
Simplify -1 + -6*sqrt(27).
-18*sqrt(3) - 1
Simplify sqrt(22)/(sqrt(200)*-4).
-sqrt(11)/40
Simplify 2*(1 + sqrt(63)).
2 + 6*sqrt(7)
Simplify -1*2*(-1 + sqrt(2)).
-2*sqrt(2) + 2
Simplify -6*sqrt(63) + (sqrt(700) + -2*sqrt(700))**2 + sqrt(700) + sqrt(700).
2*sqrt(7) + 700
Simplify sqrt(30)/sqrt(160) + 4.
sqrt(3)/4 + 4
Simplify (sqrt(42)/(sqrt(30)/sqrt(5)) + (sqrt(175)*-2 - sqrt(175)))**2.
1372
Simplify -2 + (sqrt(3) + sqrt(3)*2 + -4)**2 + 4.
-24*sqrt(3) + 45
Simplify (0 + sqrt(45)*1 + 1)*-2.
-6*sqrt(5) - 2
Simplify (sqrt(9)/(2*sqrt(3))*-6)**2.
27
Simplify 4 + 5*sqrt(28)/sqrt(4).
4 + 5*sqrt(7)
Simplify (-1 + sqrt(7)*2*-1)**2*5.
20*sqrt(7) + 145
Simplify -1*(sqrt(20)*-2)/sqrt(4)*-3.
-6*sqrt(5)
Simplify (6*(sqrt(27) - (-1 + sqrt(27))))**2*5.
180
Simplify 1 + ((sqrt(147) + 3*sqrt(147)*-5)**2 - sqrt(147)).
-7*sqrt(3) + 28813
Simplify 6*(sqrt(5) - (sqrt(5)*1)**2) + -5 + sqrt(245).
-35 + 13*sqrt(5)
Simplify -4*(sqrt(50)/sqrt(160) + 4)**2.
-261/4 - 8*sqrt(5)
Simplify 2*((sqrt(1008) - 3*(0 + sqrt(1008) - sqrt(1008)))**2 + sqrt(1008) + (0 + sqrt(1008))*-5).
-96*sqrt(7) + 2016
Simplify (4 + (sqrt(108) + 0 + -5 - sqrt(108)))**2.
1
Simplify (0 + (sqrt(136)*-1*-6)/sqrt(8))**2.
612
Simplify -3*(sqrt(242) + -1 + 3 + sqrt(242)).
-66*sqrt(2) - 6
Simplify (1 + (sqrt(7) - (3 + sqrt(56)/sqrt(8) - sqrt(7)) - sqrt(7) - sqrt(7)))**2.
4*sqrt(7) + 11
Simplify (3*sqrt(2) + 2)**2*-2.
-44 - 24*sqrt(2)
Simplify sqrt(468) + (0 + sqrt(468)*3 - sqrt(468)).
18*sqrt(13)
Simplify ((sqrt(180) + sqrt(180) + -1 + 3)**2 - sqrt(180))*-6.
-4344 - 252*sqrt(5)
Simplify (-6*-3*sqrt(136))/sqrt(8) + 0.
18*sqrt(17)
Simplify (sqrt(448) + 0)*4.
32*sqrt(7)
Simplify (sqrt(432) - (sqrt(432) + 2 + -4))**2*-6.
-24
Simplify (sqrt(15)/sqrt(3) + 4)**2 + (sq
|
{
"pile_set_name": "DM Mathematics"
}
|
se -5*t = -236 - y. What is the greatest common factor of t and 3?
3
Let q(j) = j**3 + 7*j**2 + 5*j + 8. Let p be q(-6). Suppose -15624 = 79*i - 236*i - 91*i. Calculate the greatest common divisor of p and i.
7
Suppose -j = -10*w + 20, -5*j + 0*w + 92 = -2*w. Calculate the highest common divisor of 20 and j.
20
Let d(c) = 2*c**2 - 46*c - 789. Let g be d(36). What is the highest common factor of g and 1764?
147
Suppose -1665 + 679 = -42*n + 190. Let y = -1097 - -1797. What is the greatest common divisor of n and y?
28
Let g be (0 - 2)*(-210)/(-84). Let x be -20*1/(g/8). What is the greatest common divisor of x and 8?
8
Suppose 4*c = 56 + 112. Suppose 2*p + 8 = 3*f, 2*p - 4*f + 18 = 3*p. Suppose 0 = u + p*u - 18. What is the greatest common factor of c and u?
6
Suppose 0 = -141*w + 133*w + 528. Suppose -19*o = -13*o - w. What is the highest common divisor of 77 and o?
11
Let o be 6/(-27) + (-2534)/(-63). Let y = 93 + -132. Let j = 44 + y. Calculate the greatest common divisor of o and j.
5
Let w(d) = -d**3 - 38*d**2 - 132*d + 149. Let r be w(-34). Calculate the highest common divisor of r and 15821.
13
Suppose -5*a + 0*a = -225. Suppose 0 = -50*r + 10741 + 7259. What is the highest common divisor of a and r?
45
Let r(m) = -m**2 - 74*m - 160. Let i be r(-57). Let d = -689 + i. What is the highest common factor of d and 840?
120
Let j be (-10)/(2 - 24/9). Suppose -j*s = -7*s - 56. Let u be (1 - 1)/1 - (-31 + s). Calculate the highest common factor of u and 216.
24
Suppose 0 = 3*x - 8*x + 2*u - 69, 2*x - u = -27. Let m(i) = 3*i + 51. Let g be m(x). Calculate the greatest common factor of 144 and g.
6
Let f = -959 + 1661. Suppose -51*b + f = -45*b. What is the highest common factor of 78 and b?
39
Let d = -4892 + 5013. What is the greatest common divisor of d and 8107?
121
Let c be (-1)/(1 + (-6)/4). Suppose -99 = -5*o + 3*g, 82 = 3*o + g + 31. Suppose -c*z + o = -0*z. What is the greatest common divisor of z and 18?
9
Suppose 0 = 2*z - 252 + 204. What is the highest common factor of 7944 and z?
24
Let j(b) = b**3 + 8*b**2 + b - 2. Let d be j(-7). Let s = -1253 + 1333. Calculate the highest common divisor of d and s.
40
Let v(a) = 7*a**2 + 2*a - 2. Let n be v(-3). Let z = n + -53. Let t be 55/10 + 1/z. Calculate the highest common factor of t and 9.
3
Suppose -24*v + 15 + 1809 = 0. Let c = -19 + 12. Let d(f) = -27*f + 1. Let p be d(c). What is the greatest common divisor of p and v?
38
Suppose -506 = -3*s + 67 - 21. Calculate the greatest common divisor of s and 8.
8
Suppose -3*f + 297 + 81 = 0. Let h = 4718 + -4634. What is the highest common divisor of f and h?
42
Let v be 1309 + (-6 + 301/49 - 6/(-7)). What is the greatest common factor of v and 40?
10
Suppose o - 2*o + 5592 = 3*v, -v = o - 1864. What is the greatest common divisor of v and 6291?
233
Suppose 0 = 3*s + 3*n - 2747 - 172, -4*s = -n - 3932. Calculate the highest common divisor of s and 3161.
109
Suppose 0 = 4*i - 15*p + 11*p + 548, -125 = i + 5*p. Let r = 520 + i. What is the greatest common divisor of r and 11?
11
Suppose 2*j - 1002 = -3*y, -39*y + 40*y - 329 = j. What is the greatest common factor of 8134 and y?
166
Suppose 8*w - 6 - 18 = 0. Suppose -x - 334 = -2*c, w*c = 4*x + 59 + 452. Let i = -37 - -52. What is the greatest common divisor of i and c?
15
Suppose 64*n + 48144 = 112*n. Calculate the highest common factor of n and 357.
17
Let d(t) = -t**2 + 46*t + 123. Let v be d(27). Suppose -v = f - 736. Calculate the highest common factor of 50 and f.
50
Suppose -10*z + 14*z - 4 = 0. Let u(j) = j**3 + 25*j**2 - j - 20. Let i be u(-25). Suppose 33 = i*k - 7. What is the greatest common divisor of z and k?
1
Let m(k) = -1464*k + 7450. Let x be m(5). What is the greatest common divisor of x and 8255?
65
Suppose 4*g = -5*h - 3, 2*h = g - 6*g + 9. Let f be h*2/(18/(-15)). Suppose -139 = -18*t + 221. What is the highest common factor of t and f?
5
Let q(o) = -o**3 - 57*o**2 + 296*o + 212. Let s be q(-62). Calculate the highest common divisor of 324 and s.
108
Let k = 30568 + -30524. Calculate the greatest common divisor of 22528 and k.
44
Suppose 314*q - 51393 = 199*q + 32327. Calculate the greatest common divisor of q and 336.
56
Let n = 5963 + -5708. What is the highest common divisor of 408 and n?
51
Suppose 9 + 19 = z. Suppose -6*v = 4*f - 304, -2*f - 184 = -1285*v + 1280*v. What is the highest common divisor of v and z?
14
Let r(b) = 29*b**2 + 18*b + 49. Let s be r(-4). Calculate the highest common divisor of 756 and s.
63
Let a(w) be the first derivative of -w**4/4 - 14*w**3/3 + 15*w**2 + 6*w + 30. Let s be a(-16). What is the greatest common divisor of s and 2?
2
Let w = -66 + 88. Suppose 0*a - 2*a + 396 = 0. Calculate the highest common factor of a and w.
22
Let s(d) = 43*d - 229. Let m be s(16). Let j = 495 - m. Calculate the highest common divisor of j and 252.
36
Let w(z) = 8*z**2 - 228*z - 228. Let a be w(-1). What is the highest common factor of a and 5?
1
Let i = -1916 - -2336. Calculate the greatest common factor of i and 875.
35
Suppose 29*y + 1890 = 20*y. Let q = y - -227. Let j = 50 + -16. Calculate the highest common factor of q and j.
17
Let h be (45 + 2)/((-1)/(-39)). Let x = 680647 - 680608. What is the greatest common divisor of x and h?
39
Suppose -4*d = 2*h - 16, -2*d - 144 = -5*h - 140. Calculate the greatest common factor of d and 344.
1
Let x = 37 - 291. Let g = -145 - x. Suppose -4*t = -5*w - g, -67 = -0*t - 2*t + 5*w. What is the highest common factor of t and 84?
21
Suppose 2*u - 3*s - 287 = 0, -2*u + 381 = 5*s + 54. Calculate the greatest common factor of 20838 and u.
151
Suppose -3*m - 24 = -11*m. Suppose 5*l = m*b + 599, 109 = l + 2*b + b. Let k = -58 + l. What is the highest common divisor of 30 and k?
30
Let m = 29 + -20. Suppose -8*h - 15 = 7*h. Let d be (-1876)/(-28) - (-6 - h). What is the greatest common divisor of d and m?
9
Suppose -411*n + 456*n - 16470 = 0. Calculate the highest common divisor of n and 122.
122
Let t = 8245 + -8012. What is the highest common factor of 17475 and t?
233
Let d(k) be the second derivative of -k**4/12 - 17*k**3/6 + 21*k**2/2 + 16*k. Let h be d(-14). What is the greatest common factor of h and 36?
9
Let g(a) be the first derivative of 27*a + 35 + 69/2*a**2. Let l be g(3). Calculate the highest common factor of 26 and l.
26
Let k be (-6 + 3)*1981/(-21). Suppose -5*m + 1408 = 2*a, 4*m - 5*a - 850 - k = 0. Calculate the greatest common divisor of 6 and m.
6
Let c = -1898 + 6298. What is the highest common factor of 150 and c?
50
Let h be ((-3)/6)/(4 - 1458/364). Let i = -91 + h. Suppose i = 12*r - 66 + 6. Calculate the highest common factor of r and 35.
5
Let s be (-208)/10 - 2/10. Let v = s - -24. Suppose 2*z + v*z = 350. Calculate the highest common factor of 10 and z.
10
Let n be ((-4)/(-6))/(-2) - (-3330)/27. Let x = 13 + -111. Let f = n + x. What is the greatest common divisor of 10 and f?
5
Let q(n) = -n**3 + 17*n**2 + 36*n + 135. Let k be q(-6). What is the greatest common divisor of k and 8466?
249
Let f be 1 - ((-1)/1 + -154). Let y be 250/9 - (-9)/((-648)/(-16)). Suppose 286 + 442 = y*g. What is the highest common factor of g and f?
26
Let o be (2 - 3)*(-819)/7. Let f be (10/(-3))/(856/(-50076)). Calculate the greatest common factor of f and o.
39
Suppose -2 = -3*o + 3*c + 58, 2*o + 3*c = 60. Let i be 2/34*-2 - 106/(-34). Calculate the greatest common divisor of o and i.
3
Let m be (-9 + (-830)/30)*186/(-2). Suppose 42*q = -13*q + m. Calculate the highest common factor of q and 62.
62
Suppose 3*h - 12 = 0, 3*p - 33 = 3*h + 60. Let l(b) = 56*b + 197. Let x be l(6). Let r = -288 + x. Calculate the highest common divisor of p and r.
35
Let r be (-3088)/(-48)*-9*(0 + -1). What is the highest common divisor of r and 3?
3
Suppose -25*m + 538 = -21*m + 5*y, 4*m - 4*y = 520. Calculate the greatest common factor of m and 5610.
66
Let g be (-264)/99*-196*(0 - -6). Calculate the greatest common divisor of 1764 and g.
196
Suppose 64 + 160 = 28*l. Suppose l*r - 987 = 2205. What is the greatest common divisor of 21 and r?
21
Let p = 20 + 70. Let k(a) be the first derivative of 2*a**3/3 - 9*a**2/2 + 22*a - 175. Let r be k(4). Calculate the highest common factor of p and r.
18
Let k(m) = m**2 - 2*m - 1. Let o be k(4).
|
{
"pile_set_name": "DM Mathematics"
}
|
- (sqrt(360) + 2*sqrt(360)*1 + sqrt(360))).
-7*sqrt(2)/6
Simplify (4*(1 + sqrt(180) + sqrt(180)) + 2 + -1*(sqrt(5) + sqrt(20)/sqrt(4)) + sqrt(5))**2.
564*sqrt(5) + 11081
Simplify (-2*(sqrt(80) - (sqrt(80) + -2*(sqrt(80) + sqrt(80)*-3)))*6)**2.
184320
Simplify (2*-1*sqrt(288) - (sqrt(288) - (-4 + 4*sqrt(288) - sqrt(288))))**2.
16
Simplify 1 + -4 + (-4*(sqrt(136) + -1*sqrt(136)))/(sqrt(8) + sqrt(200)*1 + sqrt(8)).
-3
Simplify (1 + (sqrt(11) + sqrt(55)/sqrt(80))*-1 + 4)**2*-3.
-2025/16 + 75*sqrt(11)/2
Simplify (6*-3*sqrt(170)*2)/((sqrt(60) + sqrt(240)/sqrt(4)*-3)/sqrt(6)).
18*sqrt(17)
Simplify 6*-3*(sqrt(684) + 1 + sqrt(684))*-6*4*-1.
-5184*sqrt(19) - 432
Simplify (sqrt(11) - (sqrt(11) + sqrt(11) + -4 + -2) - (-2 + sqrt(891)))*2.
-20*sqrt(11) + 16
Simplify ((sqrt(143) - (sqrt(143) + 2*sqrt(143) + sqrt(143))*-5)/sqrt(11))**2 + (sqrt(13) + ((1*sqrt(78))/sqrt(6))**2 + sqrt(13))*1.
2*sqrt(13) + 5746
Simplify (sqrt(170) - (sqrt(170) + -4*sqrt(170)*3))/(sqrt(10) - (sqrt(100)*-1)/sqrt(10))*4.
24*sqrt(17)
Simplify (2 + sqrt(24)/(-3*sqrt(8)*6) + -3)**2.
sqrt(3)/9 + 109/108
Simplify sqrt(117)*1*4 + 4 - (sqrt(13) + (sqrt(13) - (2 + sqrt(13)*2)) - 3*sqrt(208))**2.
-1872 - 36*sqrt(13)
Simplify -4 + 3 + (sqrt(30)/sqrt(50))/(sqrt(500) + 2*sqrt(500)) + 2.
sqrt(3)/150 + 1
Simplify 3 + (sqrt(45) - ((sqrt(4500) + sqrt(4500)*2 - sqrt(4500)) + sqrt(4500) + sqrt(4500)))/(sqrt(36)*6).
-13*sqrt(5)/4 + 3
Simplify ((sqrt(7) + -2 + sqrt(77)/sqrt(11) - 6*(1*sqrt(7) + sqrt(7))) + 5)**2.
-60*sqrt(7) + 709
Simplify (sqrt(567)/(sqrt(45)/sqrt(5)*1))/(sqrt(27)/(sqrt(3) + -1*sqrt(243))).
-8*sqrt(7)
Simplify (-3*sqrt(108)/(sqrt(18)/sqrt(2)))/(sqrt(6) + sqrt(6)*-2*6 - (sqrt(6) + (sqrt(6) - sqrt(6)*-2)*-5)).
-sqrt(2)
Simplify 5 + (sqrt(156)*4)/sqrt(12) + (sqrt(13)*1 + sqrt(13) + 1)**2 + 4.
8*sqrt(13) + 62
Simplify (((-2*sqrt(77) - sqrt(77))*-5 - sqrt(77))/(4*(sqrt(11) + (1*sqrt(11) - sqrt(11) - sqrt(11))) + sqrt(11)))**2*5.
6860
Simplify (sqrt(175) + 3 + 0 + sqrt(175) + (sqrt(175) - 2*(-1 + sqrt(175) - sqrt(175)) - sqrt(175)))**2 + 0.
100*sqrt(7) + 725
Simplify (sqrt(88) - ((5*(sqrt(88) - sqrt(88)*-3) - sqrt(88)) + sqrt(88)))/(sqrt(128)*-5)*-3.
-57*sqrt(11)/20
Simplify (sqrt(567) + -4)*3 + sqrt(84)/(2*sqrt(132)/sqrt(11)).
-12 + 55*sqrt(7)/2
Simplify (4 + 1 + sqrt(605) + -5 + (1 + sqrt(605) - sqrt(605)) + sqrt(605))*-5.
-110*sqrt(5) - 5
Simplify 5 + (sqrt(204)*1*5 + sqrt(204) + sqrt(204) + sqrt(204) + (sqrt(204) - -1*(sqrt(204) + sqrt(204)*-1)))/(sqrt(48)/(-6*1*sqrt(4))).
-54*sqrt(17) + 5
Simplify ((3 + sqrt(80) + -2*(sqrt(80)*-1 - sqrt(80) - sqrt(80)))*-3)**2*5.
7560*sqrt(5) + 176805
Simplify (((sqrt(240) - sqrt(240)*-5)/sqrt(4))/(-6*-4*sqrt(12)))**2.
5/16
Simplify (((-6*-1*sqrt(108))/sqrt(4))/((sqrt(18)/(sqrt(32) + sqrt(2)) + sqrt(9) + sqrt(9))*-2))**2.
675/121
Simplify ((sqrt(304) - (sqrt(304) + -1)) + sqrt(304) + 4 + (-2*(-1 + sqrt(304)) - sqrt(304)) - -5*(sqrt(304) + 1 + sqrt(304))*1)**2.
768*sqrt(19) + 19600
Simplify (4*sqrt(88)*2)/sqrt(8) - sqrt(33)/(sqrt(24)/sqrt(8))*-1.
9*sqrt(11)
Simplify (sqrt(22) - (2*sqrt(264))/sqrt(12))/((sqrt(22)*-2)/sqrt(11)) + (-6*2*sqrt(539) - 6*(-2*sqrt(539))**2).
-12936 - 167*sqrt(11)/2
Simplify (-5*sqrt(34)/(2*sqrt(2)) + -3)*-6.
18 + 15*sqrt(17)
Simplify ((sqrt(121) - sqrt(121)*-2)/sqrt(11)*5*-6 + (sqrt(704) + sqrt(704)*2 + sqrt(704) - sqrt(704))/(sqrt(576)*1))**2.
87131
Simplify 3*((-1 + -1 + sqrt(832))**2 + 3) + 4.
-96*sqrt(13) + 2521
Simplify (1*sqrt(40)*4 + (sqrt(160)*2)/sqrt(4))/(-2*((sqrt(512) - (-2*sqrt(512) + sqrt(512))) + sqrt(512) + sqrt(8))).
-3*sqrt(5)/25
Simplify 3 + (1 + sqrt(108)*2 + -2)**2*4.
-96*sqrt(3) + 1735
Simplify ((sqrt(162)*-5 - sqrt(162))*-4 - (sqrt(162) + -3)*-4)**2 + -2.
-6048*sqrt(2) + 127150
Simplify (6*(4 + sqrt(176) + (1 + sqrt(176))*-3 + -4 + -6*(1 + sqrt(176))))**2.
20736*sqrt(11) + 408420
Simplify (-3 + sqrt(200) + (sqrt(12)/(-5*sqrt(6)) + sqrt(2) - sqrt(2)))**2.
-294*sqrt(2)/5 + 5027/25
Simplify sqrt(204)/((sqrt(192) + sqrt(192) + sqrt(192)*-2 - sqrt(192)) + sqrt(12) + sqrt(12)) + (2 + sqrt(612) + sqrt(17))*5.
10 + 69*sqrt(17)/2
Simplify (-5*(sqrt(80) - ((sqrt(80) + 0 - sqrt(80)) + -2) - (-1 + sqrt(80) + 4))*6)**2.
900
Simplify (-4*(-1 + sqrt(833)))**2 + -3 + sqrt(833) + 1 + -3*(sqrt(833) - (1*(1 + sqrt(833)))**2).
-196*sqrt(17) + 15844
Simplify (sqrt(1377)*-3*-4)**2 + 3 + ((sqrt(1377) - ((-2 + sqrt(1377))*2)**2) + sqrt(1377) - (sqrt(1377) + 2 + -3)).
153*sqrt(17) + 192768
Simplify (((sqrt(66) - -5*1*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66))/(sqrt(66)/sqrt(44)) - 3*(4*sqrt(11)*-1 + (-6*sqrt(44) - sqrt(11))))**2.
40931
Simplify ((sqrt(45) + (sqrt(2880) - -1*sqrt(2880)))/(sqrt(9) + (sqrt(324) - (-1*sqrt(324) + sqrt(324)))))**2*4*-1.
-5780/49
Simplify 4 + -3*(2 + sqrt(98)) + (1*sqrt(98)*3 - (4 + -1*sqrt(98)))**2.
-245*sqrt(2) + 1582
Simplify 2 + -4*(sqrt(63)/sqrt(3)*-2)/(sqrt(77)/(sqrt(88)/sqrt(8)) + sqrt(7)).
2 + 4*sqrt(3)
Simplify (0 + (-3*sqrt(825))/(sqrt(176) - (sqrt(176)*3 + sqrt(176) + sqrt(176))))**2.
675/256
Simplify (sqrt(44)/sqrt(2)*-1)/(sqrt(2) + sqrt(98)*-3 + sqrt(98)).
sqrt(11)/13
Simplify (-3 + ((sqrt(1100) + 1)**2 - sqrt(1100)) - (-1*sqrt(22)*1)/sqrt(2)) + 5.
11*sqrt(11) + 1103
Simplify (4 + 3*(-5 + 3 + sqrt(272)*-1))**2.
48*sqrt(17) + 2452
Simplify (3 + (sqrt(40) + (sqrt(360) - sqrt(40)))/((sqrt(2) + sqrt(8) + sqrt(2))*2))**2.
9*sqrt(5)/2 + 189/16
Simplify -4*(2 + (sqrt(162)*1)**2*1).
-656
Simplify (3 + (sqrt(128) - (-1*sqrt(128) + 2)))**2 + 5*-1*-6*(sqrt(2)*-1 - sqrt(2)).
-28*sqrt(2) + 513
Simplify (-1 + sqrt(539))**2 + (1 + sqrt(396))**2 + sqrt(11) - (-1*sqrt(1331)*-3)**2.
-11042 - sqrt(11)
Simplify ((sqrt(1715) + sqrt(1715) + (-2*sqrt(1715) - sqrt(1715)))/((2*sqrt(49))/sqrt(7)) - (sqrt(245) + 5 + sqrt(30)/(sqrt(12)/sqrt(2))))**2.
115*sqrt(5) + 2745/4
Simplify (((sqrt(104) + 3*-3*sqrt(104) + sqrt(104))*-2)/(((-3*sqrt(240))/sqrt(5))/sqrt(6)))**2.
2548/9
Simplify ((-5 + sqrt(684))*-1 + (sqrt(684) + (sqrt(684) - (sqrt(684) + (sqrt(684) - sqrt(684)*4))) + 3)**2)*1.
138*sqrt(19) + 10958
Simplify ((((sqrt(144) - sqrt(144)*2)*-3)/sqrt(12))/(sqrt(28)/(sqrt(2401)/sqrt(7))))**2.
1323
Simplify (((sqrt(171) + sqrt(171)*3)*-1*4)/(sqrt(54)/(sqrt(384)*-1 - sqrt(6))))**2.
393984
Simplify (sqrt(117) - sqrt(117)*1*-5 - (sqrt(117) + sqrt(117)*1*-2))/((sqrt(162) - sqrt(18))/sqrt(2) - (sqrt(9) + sqrt(81))*-5).
7*sqrt(13)/22
Simplify (-2*sqrt(152)*-6 - (-1*(1*sqrt(152) + sqrt(152)) + sqrt(152)))/((sqrt(32)/sqrt(4)*1 - sqrt(8)) + (sqrt(40)/(sqrt(5) - sqrt(45)) - sqrt(8))).
-26*sqrt(19)/3
Simplify 1*(2 + sqrt(1088))**2 + ((sqrt(102)/sqrt(96) - sqrt(17)) + 5)**2.
49*sqrt(17)/2 + 18025/16
Simplify ((sqrt(3) + -1 + 5)*6 - (-2 + (sqrt(363)*-1)**2)) + 5.
-332 + 6*sqrt(3)
Simplify 0 + sqrt(432) + 1 + sqrt(432) + sqrt(3) + sqrt(18)/sqrt(6)*-5 + -1.
20*sqrt(3)
Simplify ((sqrt(152) - -2*sqrt(152)*-1) + sqrt(152)*1*6)/(-5*sqrt(896)/sqrt(7))*-2.
sqrt(19)/2
Simplify (-3*sqrt(3072)*1 + (sqrt(3072) + 0)*-6)**2.
248832
Simplify ((sqrt(117)*2*-3)/sqrt(9) + (-2 + (sqrt(26)/sqrt(2) - sqrt(13)) + sqrt(13))*-6)**2.
-288*sqrt(13) + 2016
Simplify (sqrt(68) + -1 + 2 + sqrt(68) + (sqrt(68)*1 - sqrt(68)) + -4 + -3)**2.
-48*sqrt(17) + 308
Simplify 6*-3*(sqrt(12) + 3) - (sqrt(192) + sqrt(192) + 2*sqrt(192) + -4)*6.
-228*sqrt(3) - 30
Simplify sqrt(30)/(sqrt(24)/(sqrt(32)/sqrt(8))) + 3 + sqrt(5)*-4 + 2.
-3*sqrt(5) + 5
Simplify 1*(3 + (sqrt(51) + sqrt(51) + sqrt(816) + (2*sqrt(816) - sqrt(816)))/((2*sqrt(21))/sqrt(7)))**2.
30*sqrt(17) + 434
Simplify (sqrt(896) + (sqrt(896) - ((sqrt(896) + sqrt(896)*-1)*2 - sqrt(896))))/(sqrt(35)/(sqrt(55)/(1*sqrt(11)))).
24*sqrt(2)
Simplify (2*sqrt(441) + (sqrt(180) - sqrt(45))/sqrt(5))/(sqrt(12)/(2*sqrt(324) - sqrt(4))).
255*sqrt(3)
Simplify 0 + (((sqrt(76) - (sqrt(76) + sqrt(76)*-2 - sqrt(76))) + -1)**2 + -4 + 0)*-2.
-1362 + 24*sqrt(19)
Simplify (-6*(sqrt(51) + sqrt(204)/(sqrt(4) - sqrt(4)*-2)))/(-6*sqrt(6)/sqrt(2)*2).
2*sqrt(17)/3
Simplify (-3 + (2 + sqrt(1300) + -1 - (2 + sqrt(1300) + -1 + sqrt(1300))))**2 + 4.
60*sqrt(13) + 1313
Simplify (6*(sqrt(66) + sqrt(66)*1)*-5)/((sqrt(60) - (sqrt(2940) - (sqrt(2940) + (1*sqrt(2940) - sqrt(2940)))))/sqrt(10)).
-60*sqrt(11)
Simplify (4 + 3*((sqrt(13) + sqrt(13)*-2*2 + sqrt(13))**2 + sqrt(13)))*-1.
-160 - 3*sqrt(13)
Simplify (sqrt(140) - sqrt(35))/sqrt(5) + -1 - (sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve j = 2, -2*b + 5*j = 5 + u for b.
-1
Let p(j) = -29 + 46*j + 38 - 11*j - 164. Let g be p(5). Solve d - 15 = 4*q, -3*q + 4*d = 5*d + g for q.
-5
Let g(h) be the third derivative of h**5/30 - 11*h**4/12 + 11*h**3/6 - 13*h**2. Let d be g(12). Solve -4*s + d = 3*k - 6*k, -3*s = k - 10 for s.
5
Suppose 0 = -0*h - h + 3. Let m(l) = l**2 - 38*l - 164. Let c be m(42). Suppose h*p = 4*f + p - c, 3*p - 4 = f. Solve v = -2*g - 0*v, 1 = 3*g + f*v for g.
-1
Let o(f) = -4*f**2 - 24*f + 117. Let y(c) = -5*c**2 - 29*c + 117. Let b(w) = -3*o(w) + 2*y(w). Let d be b(-12). Solve -3*z + 3*n = 1 - 7, 19 = 2*z + d*n for z.
5
Let l = -1811 + 1816. Solve -5*b + 10*r = 8*r, l*b = -2*r + 20 for b.
2
Let m(i) = -i + 19. Let u(f) = 0 + 2 - 7 + f. Let y be u(21). Let l be m(y). Solve -4*n = -5*a, -2*n - l*a - 22 = -0*n for n.
-5
Suppose -4*w - 2*z = -38, 2*w + 4*z + 5 = 9. Let u be 3 - (-4)/w*(-11 + 2). Solve 4*v + r = 3, u = -v - 3*v - 4*r + 12 for v.
0
Let y be 1 - (25/(-75) + 87/(-9)). Solve -2*a - 18 = -13*m + y*m, 4*a = 2*m - 22 for m.
7
Suppose 2*l = -2*n - 0*n - 6, 0 = 2*l - n - 15. Solve r - 37 = -l*x - 13, 4*x = 2*r + 12 for r.
4
Let q = -183 + 170. Let j be (4/(-6))/(q + 37/3). Solve -3*u - 2*h = 3*h + 11, 3*u + 2*h - j = 0 for u.
3
Let n be (-19)/((-171)/54) + -4. Suppose -y - 3*y - 28 = -2*p, -4*p + 5*y = -47. Let r be (p/5)/((-1)/(-10)). Solve n*g + 3*g + 3*z = 12, -4*z = -r for g.
0
Suppose -119*z + 258 = -113*z. Let j be (1 + -3)*(42 - z). Solve -j*q - 4*a = -11 + 1, -q - a + 5 = 0 for q.
5
Let t be (2*1)/((-36)/(-144)). Suppose t*q - 238 = -6*q. Solve -8 = -3*o - m + 2, 0 = -4*o - 5*m + q for o.
3
Let p(z) = 13*z - 4*z - 10 - 13. Let m = 6895 - 6892. Let f be p(m). Solve 4*s - f*o = 12, -2*s - 2*o - 3*o = -20 for s.
5
Suppose 4 = -u + 2*u. Suppose 21 = 5*o + 4*w, -u*o = -0*o + w - 19. Let v = 565 + -561. Solve o = -5*r + 4*q - 2, 2*q - 2 = v*r for r.
1
Let o(h) = 143*h - 8578. Let q be o(60). Solve -d + 18 = 2*d - 3*k, -q*k - 16 = -4*d for d.
2
Let o be 2/(12/258)*(1 + -2). Suppose -5*w = -3*u - 241, 0 = 4*w - 2*u - 112 - 82. Let v = w + o. Solve 0 = 5*f - 3*j - 19, -f - 5*j + 4*j = -v for f.
5
Suppose 2*a + 3*a = 10. Suppose 0 = a*w + 5*w - 21. Suppose 0 = -w*n - 5*l + 5 + 7, -3*n + 4*l = -39. Solve -s - 4*j + n = 0, s - 5*j + 15 = -j for s.
-3
Let q(x) = -133*x - 2788. Let r be q(-21). Solve 2*d - 9 = 11*n - 8*n, -4*n + r*d = 12 for n.
-3
Let d = -11815 - -11817. Solve 0 = 11*w - 15*w - 4*o - 24, -4*o = -d*w - 6 for w.
-5
Suppose -49 = -4*o + o - 2*c, -c = o - 16. Suppose 11*u + o - 50 = 0. Solve -18 = 4*j + 2*a, 13 = j - 5*j + u*a for j.
-4
Let u be 6/(-21) - (-344)/28. Let q be 12/(-9)*-3 + 1. Let k = q + -3. Solve -4*i + k*d = -10, -4*i - d + u = -1 for i.
3
Let y be (60/(-50))/(4*1/(-10)). Suppose 3 = -y*n + 2*n, 0 = d - 3*n - 14. Solve 3*i - 15 = d*j, 2*j = 6*j - 2*i + 10 for j.
0
Let d = -16390 + 16390. Solve 4*v - 5 = -4*o + 7, -2*v = d for o.
3
Suppose 10*f - 68 + 478 = 0. Let j = 47 + f. Solve -3*a + 4*u + 8 = -j*a, a + 5 = u for a.
-4
Let n = -2133 - -2140. Let h be -1 + (-1 - 1) + 8 + -1. Solve h*i + q + n = 0, -3*q + 24 - 6 = -i for i.
-3
Let i be (1 + 0 + -1)*3/3. Suppose -3*v + 4*c - 2 + 26 = i, 5*v - 40 = -4*c. Solve -4*r - v = -w, 2*r + 13 = 5*w - 9 for w.
4
Suppose 5*z + c - 95 = 0, -4*z + 11 = 4*c - 49. Suppose -3*m - z = -8*m. Solve -n - m*o + 32 = 3*n, 0 = -2*n - 3*o + 20 for n.
4
Let f = -10 + -46. Let j = f + 61. Suppose 0 = 4*r - 2*r. Solve 3*b + 2*i - 4 = r, -4*b + 5*i - j = -18 for b.
2
Let a = -135 + 238. Suppose 0 = i + 3*b - 20 + 4, 4*i - b - a = 0. Let c be 3 - ((6/3)/2 + -2). Solve -4*x - 4 = c*g, 0 = -3*x - x + 3*g - i for x.
-4
Let d = 4195 + -4186. Solve -u + 20*t - 21*t - 6 = 0, d = -u - 4*t for u.
-5
Let a be (-41)/(-9) + -36*(-13)/1053. Solve -148*q + 149*q = -4*m + 13, -2*q = a*m - 17 for m.
3
Suppose -538 = -6*x - 82. Let r = 68 - x. Let v be (-12)/r*8/6. Solve 2*g = -v*m - 2*g + 12, 4*m + g + 11 = 0 for m.
-4
Let t(w) = 5*w**2 + 36*w - 209. Let v be t(-11). Solve 5*j - 7*j = 2*d - 4, -3*d - 5*j + 16 = v for d.
-3
Let w(r) = 2*r**2 - 133*r + 335. Let d be w(64). Solve -4*v + 5*q - 10 = d, -4*v - 2*q = -10 for v.
0
Let b be 17136/5040 + ((-6)/40)/(2/(-8)). Solve 3*t = -3*x - 15, 34*t + b*x + 23 = 29*t for t.
-3
Let c(b) = -2*b**3 - 75*b**2 - 453*b - 72. Let o be c(-30). Let m(f) = -9*f + 6*f - f - f**2 - 1. Let w be m(-3). Solve -20 = -5*i, 0*i + o = w*z + 2*i for z.
5
Suppose 3*i = 4*i + z, -5*i = -2*i + 5*z. Solve b + 3*g - 14 = 0, -2*g + i = 3*b - 7 for b.
-1
Let a = -5797 + 5799. Solve 5*n - 2*y - 26 = 0, -a*n - 3*y = 3*n - 11 for n.
4
Suppose 1680 = -29*k + k. Let o = -60 - k. Solve n - j + o + 3 = 0, -3*n - j - 1 = 0 for n.
-1
Suppose -7*l + 10*l - 15 = 0. Let r(p) = -p**3 - 5*p**2 + 5. Let n be r(-5). Solve 0 = -i + 3*h - n, -12 = -3*i + i - l*h for i.
1
Let t be (-3 + (-15)/(-5))*3/(-12). Solve -l - 2*g + 6 = t, g - 10 = 2*l - 2 for l.
-2
Let g be (-19)/(-152) - ((-1150)/16 + 0). Suppose -75*j + 9 = -g*j. Solve -2 = b + 2*z, 8*b - 2*z - 2 = j*b for b.
0
Suppose 5*k = -5*z - 40, -2*z = -3*k - 12 - 17. Let c be 1 + 0 + (-3)/k*6. Let i(r) = -r**3 + 3*r**2. Let j be i(c). Solve -1 = -w + 4, j = -f + 5*w - 22 for f.
3
Let t be ((-6)/((-84)/35) - 3)*-10. Solve -2*p - 3*o = -8, -5*p = -t*o + 18 + 12 for p.
-2
Suppose 0 = 2*u - 9 - 3. Suppose -u*d = -11*d. Let v be 506/138*15/11. Solve d = 5*p + 2*k + 19, -v*p + 1 - 32 = -2*k for p.
-5
Suppose -129 = -6*a + 63. Suppose d = a + 4. Let z = d + -31. Solve -2*b + 6 = z*t, -5*b - 4 = 2*t - b for t.
2
Suppose -3*a + 3*n = 0, n - 1 = 4*a - 7. Let u be a - (3 + 8) - 3. Let f be u/18*(-9)/3. Solve 2*c = -2*k - k + 5, f*k = -5*c + 18 for k.
-1
Let d = -2731 + 2758. Solve -d*h - 5*u - 17 = -23*h, -5*h - 13 = -2*u for h.
-3
Let f be (-4 - (-2 - -4))*2/3. Let g = f - 17. Let q(c) = -c - 19. Let m be q(g). Solve 4*y + 2*h = 2*y + m, -2*y = 3*h - 7 for y.
-4
Let q be 15*(143/(-33))/(-13). Let r = 9 - 4. Solve -26 = r*x + 2*o, x + x + q = o for x.
-4
Let o be ((-22)/6 + 3)/((-1)/(-3)). Let i be ((-3)/(-6) + o)/((-3)/4). Suppose -i*k + 6 = -0. Solve 5*c + 2*f - f = -k, 5*c + 5*f + 15 = 0 for c.
0
Let m = 1022 - 730. Suppose 10*c = 6*c - m. Let l = 78 + c. Solve 4*s + a - 2*a - 20 = 0, -l*s = 4*a - 4 for s.
4
Let c be (3 + (-15)/7)*7. Suppose -5*f = -44 - c. Suppose q = f*q - 36. Solve -4*k - 2*w + 4 = 0, -10 + q = -4*k - w for k.
2
Let o(p) = p**2 - 7*p + 13. Let w be o(6). Let v = 889 + -514. Suppose -v = -9*s - 96. Solve 5*x + s = -0*n + 2*n, w = -2*x - n for x.
-5
Suppose u - 34 = -3*f, -u + 26 + 12 = 4*f. Suppose 41 = -9*b - 67. Let a = b + 12. Solve -s - 2*s - 3*w - 18 = a, -5*w = 3*s + u for s.
-4
Suppose c - 12*v + 10*v + 29 = 0, -c = -5*v + 35. Let x = 37 + c. Solve 3*p = -4*z + x, p - 4 = 5*z - 0*z for p.
4
Let i = -3356 - -3464. Solve 0 = -109*q + i*q + 3, -5*c + 2*q + 9 = 0 for c.
3
Let t = -179 + 269. Let r = 95 - t. Solve 4*a + 3*z = -3, 10*a = r*a - 4*z - 3 for a.
-3
Let i = -81 - -81. Solve i = 5*l - 4*k - 6 + 8, -l = -2*k + 4 for l.
2
Suppose -6 + 40 = 16*l - 46. Suppose 0*m = 4*m - 64. Suppose 4*j - 4*u = -j - m, -5*j + 20 = l*u. Solve -2*v + 4*i + 20 = 2*v, j = i for v.
5
Suppose 10 = -4*n + 38. Let d = n - -25. Let c(y) = 7*y**3 + 6*y**2 - 756*y - 15. Let s be c(10). Solve -82 = -5*b - 5*u - d, 2*b + 3*u = s for b.
5
Let r = -84 + 136. Suppose 2*a = -2*s - 0*s + r, 3*s = -2*a + 53. Suppose 0 = -12*m + 277 - a. Solve -2*c = 5*z - m, -5*z + z = -3*c - 26 for c.
-2
Suppose p + 4*c + 41 = 0, 78 = -8*p + 6*p - 4*c. Let w = -34 - p. Solve d = -5*g + 25, -d + w*d = 10 for g.
4
Let v be (-9)/((-72)/10) + (-7060)/16. Let i be v/(-230) - 8/(-92). Solve 0 = -u - g - 10, 0 = -2*u - g - 13 - i for u.
-5
Let m be (-6)/10 + 11*9/330*42. Solve -3*d + 4*y - 28 = 0, m*y - 10*y = d + 12 for d.
-4
Let v = -2166 - -2166. Solve 4*i - 5*i - 12 = 3*d, v = 4*i + 12 for d.
-3
Let p = -21903 + 21908. Solve 4*t = -p*d + 25, 0 = 3*t + 172*d - 174*d + 10 for t.
0
Let i = -12204 - -12206. Solve 0 = 2*z + 5*v + 13, -131*v + 134*v = i*z + 5 for z.
-4
Let b = 7914 - 7914. Solve 0 = y - 4*y - 4*g + 17, b = -2*y + 3*g - 17 for y.
-1
Suppose 0 = 4*x - 9*a + 12*a - 88, -4*x + 5*a + 24 = 0. Solve -3*m = 2*f + 4, -4*f - x = -4*m - 8 for f.
-2
Let r(u) = -2*u - 11. Suppose 2*i = x + 44, x + 2*x
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from tatbttkhtttkttqaqbt?
2/2907
Calculate prob of sequence bqeb when four letters picked without replacement from {q: 1, e: 1, b: 2, m: 2, g: 1}.
1/420
What is prob of sequence xny when three letters picked without replacement from ryrtyxtytrrnprrpxtyn?
2/855
Two letters picked without replacement from {j: 3, n: 3, r: 5}. What is prob of sequence jr?
3/22
What is prob of sequence oi when two letters picked without replacement from {r: 1, i: 5, o: 1, t: 1, k: 3}?
1/22
Four letters picked without replacement from vvjvjvvvjvjvvj. What is prob of sequence vvjj?
60/1001
Four letters picked without replacement from tttsttttttttstttst. Give prob of sequence stst.
7/408
Four letters picked without replacement from uowwewovgwwowovvwv. Give prob of sequence ouve.
1/4590
What is prob of sequence hkhy when four letters picked without replacement from khhyh?
1/20
What is prob of sequence nvn when three letters picked without replacement from nnnnnqnvnpnpvppnn?
3/68
What is prob of sequence bo when two letters picked without replacement from {e: 1, o: 1, b: 2, i: 1, z: 1, p: 1}?
1/21
Three letters picked without replacement from {e: 3, z: 5, q: 2, g: 2}. What is prob of sequence eqz?
1/44
Two letters picked without replacement from {q: 2, h: 3, x: 3, l: 1, m: 1, f: 2}. Give prob of sequence fl.
1/66
What is prob of sequence mio when three letters picked without replacement from rmmiorxy?
1/168
Calculate prob of sequence vllv when four letters picked without replacement from lllvhvhvllhvhllhhlll.
3/323
What is prob of sequence kwwi when four letters picked without replacement from {i: 1, w: 3, k: 5}?
5/504
What is prob of sequence ssm when three letters picked without replacement from {s: 11, m: 3}?
55/364
Calculate prob of sequence kck when three letters picked without replacement from kcceckckccec.
7/220
Two letters picked without replacement from {o: 3, n: 11}. Give prob of sequence nn.
55/91
Two letters picked without replacement from {e: 1, y: 2, o: 1}. Give prob of sequence oe.
1/12
Three letters picked without replacement from ysybebbrebbbyyryyrb. What is prob of sequence yeb?
14/969
Four letters picked without replacement from wwwpwwwwswwwwkwwpsw. Give prob of sequence ppwk.
7/23256
What is prob of sequence ccbc when four letters picked without replacement from {e: 4, c: 3, b: 7}?
1/572
Calculate prob of sequence hiw when three letters picked without replacement from {h: 1, w: 3, i: 11, s: 2, p: 2}.
11/1938
Three letters picked without replacement from yyyrbbkbyrbybybbr. What is prob of sequence rrk?
1/680
Four letters picked without replacement from {o: 1, s: 1, j: 1, p: 2}. Give prob of sequence sojo.
0
Calculate prob of sequence iwdw when four letters picked without replacement from {w: 5, u: 1, q: 1, v: 3, d: 1, i: 6}.
1/476
Four letters picked without replacement from {h: 2, t: 1, z: 2, n: 5, r: 2, m: 2}. What is prob of sequence mrzr?
1/3003
Two letters picked without replacement from {n: 3, w: 1, s: 1}. Give prob of sequence wn.
3/20
Two letters picked without replacement from {d: 3, z: 3, f: 3, t: 4, c: 4}. What is prob of sequence dc?
3/68
Three letters picked without replacement from {i: 6, m: 9, s: 2}. What is prob of sequence imm?
9/85
Two letters picked without replacement from {i: 3, g: 3}. What is prob of sequence gg?
1/5
What is prob of sequence ihi when three letters picked without replacement from hhhaidiaaaaa?
1/220
Calculate prob of sequence jvh when three letters picked without replacement from jhllvhvzghl.
1/165
Calculate prob of sequence zz when two letters picked without replacement from {s: 5, d: 2, z: 2}.
1/36
Four letters picked without replacement from ssssbb. What is prob of sequence sssb?
2/15
Three letters picked without replacement from {r: 2, g: 2}. Give prob of sequence rgr.
1/6
Calculate prob of sequence ggz when three letters picked without replacement from {i: 1, g: 2, z: 1, p: 4}.
1/168
Calculate prob of sequence px when two letters picked without replacement from kfrxphp.
1/21
Calculate prob of sequence zr when two letters picked without replacement from lfrzzlz.
1/14
What is prob of sequence jg when two letters picked without replacement from jjjjjjjjjjjjjjjgjj?
1/18
Three letters picked without replacement from {k: 5, c: 1, a: 1, q: 2, f: 1}. What is prob of sequence caf?
1/720
Three letters picked without replacement from {q: 3, y: 5, l: 4}. What is prob of sequence qly?
1/22
Three letters picked without replacement from {w: 1, f: 2, u: 4, h: 1, e: 3}. What is prob of sequence uwu?
2/165
What is prob of sequence wwwr when four letters picked without replacement from {o: 3, e: 3, h: 2, w: 4, u: 3, r: 1}?
1/1820
Two letters picked without replacement from gigggggggii. What is prob of sequence ig?
12/55
Calculate prob of sequence iii when three letters picked without replacement from {t: 2, d: 3, g: 1, i: 4}.
1/30
What is prob of sequence nu when two letters picked without replacement from {u: 3, n: 4}?
2/7
Calculate prob of sequence lr when two letters picked without replacement from lllrrkrktlrrlrk.
1/7
Calculate prob of sequence ymbu when four letters picked without replacement from {u: 2, b: 4, y: 1, m: 3, k: 1, w: 1}.
1/495
Calculate prob of sequence yuy when three letters picked without replacement from {y: 6, u: 8, w: 3}.
1/17
Two letters picked without replacement from {t: 4, d: 3, e: 3, h: 1}. Give prob of sequence dt.
6/55
Two letters picked without replacement from qqstsqwwws. What is prob of sequence sw?
1/10
Three letters picked without replacement from {i: 3, c: 2, q: 4, b: 6}. What is prob of sequence iqc?
4/455
Calculate prob of sequence qqq when three letters picked without replacement from {w: 2, q: 11}.
15/26
Calculate prob of sequence gg when two letters picked without replacement from gggggg.
1
What is prob of sequence peq when three letters picked without replacement from {r: 6, q: 1, e: 3, y: 1, p: 1}?
1/440
What is prob of sequence ok when two letters picked without replacement from {z: 7, o: 1, a: 3, k: 1, s: 7, l: 1}?
1/380
Three letters picked without replacement from cpttfbop. Give prob of sequence ftp.
1/84
Two letters picked without replacement from zuuuyzwwuuwumwawuuwu. Give prob of sequence wu.
27/190
Two letters picked without replacement from eedkddkkdddlkfdd. What is prob of sequence ed?
1/15
Two letters picked without replacement from {m: 1, p: 1, j: 17}. What is prob of sequence jp?
17/342
What is prob of sequence qg when two letters picked without replacement from gggrrrrqgggrqg?
1/13
What is prob of sequence ueet when four letters picked without replacement from {u: 3, t: 4, e: 9}?
9/455
Calculate prob of sequence ooi when three letters picked without replacement from {i: 6, j: 1, o: 4}.
4/55
What is prob of sequence kcbj when four letters picked without replacement from ctccccbttkccttctctjt?
1/12920
Calculate prob of sequence njk when three letters picked without replacement from jsnwfksjjnwjwwwj.
1/336
Two letters picked without replacement from ggbbc. Give prob of sequence bg.
1/5
Three letters picked without replacement from llllfllllllll. Give prob of sequence lfl.
1/13
Two letters picked without replacement from {h: 5, u: 7}. What is prob of sequence uu?
7/22
Three letters picked without replacement from {r: 2, n: 2, v: 3, y: 4, o: 4, q: 3}. Give prob of sequence vqo.
1/136
Calculate prob of sequence hh when two letters picked without replacement from {q: 7, h: 2}.
1/36
What is prob of sequence oc when two letters picked without replacement from dooodzdzzcozozzzzyod?
3/190
Four letters picked without replacement from {l: 7, r: 3}. What is prob of sequence llll?
1/6
Four letters picked without replacement from {q: 14, w: 1, r: 2}. Give prob of sequence rqqq.
13/170
Calculate prob of sequence xz when two letters picked without replacement from xxxxgzaglxaxxg.
1/26
What is prob of sequence tt when two letters picked without replacement from {q: 1, d: 1, e: 3, t: 2}?
1/21
Four letters picked without replacement from {k: 7, q: 7}. Give prob of sequence kqqk.
21/286
Calculate prob of sequence dd when two letters picked without replacement from {d: 3, b: 8}.
3/55
Four letters picked without replacement from yyycycycyyyycyyyyyy. Give prob of seq
|
{
"pile_set_name": "DM Mathematics"
}
|
se -6*z = -q - 0. List the prime factors of z.
5, 13
Suppose -3*j + 9 = -q, j + 8 = -q + 5*q. Let p(f) = f**2 - 5*f + 2. Let m be p(q). Let s = m - -56. What are the prime factors of s?
2, 13
Let p = 88 - 83. Suppose 2*o + 2*u = 53 + 27, o - 52 = -p*u. List the prime factors of o.
37
Let t = -163 + 276. Let a = t - 57. List the prime factors of a.
2, 7
Let s(q) = -q**3 - 7*q**2 + 5. Let r be s(-7). Let k = 5 - 3. Suppose 3*u - 4*j = 90, r*u - k*j - 110 = u. What are the prime factors of u?
2, 13
List the prime factors of (-1)/(8/(-8)*4/6044).
1511
Suppose -5*w = 3*l - 12719, 0 = 2*l + 12*w - 7*w - 8481. What are the prime factors of l?
2, 13, 163
Let y = 303 - 95. What are the prime factors of y?
2, 13
Let c be ((-18)/4)/(2/4). Let k be (-1 - c) + (2 - 4). List the prime factors of (k/9)/((-4)/(-30)).
5
Let x(t) = -20*t**2 + 29*t + 25. Let f(p) = 7*p**2 - 10*p - 8. Let y(a) = -17*f(a) - 6*x(a). Let l be y(6). List the prime factors of 1/(33/16 + l).
2
Let u(z) = z + 1. Let l be u(1). Let a(c) = -8*c - 2*c**2 + 3*c**l + 12 + 0*c**2. What are the prime factors of a(9)?
3, 7
Let o(a) = -a**2 + a + 2. Let r be o(2). Let b be 3/((-4)/(-100) + r). Suppose 0 = 11*y - 14*y + b. What are the prime factors of y?
5
Suppose 5*q + 3*n = 1826, 5*n = 3*q + 527 - 1643. List the prime factors of q.
367
Let a(n) be the first derivative of 8*n**2 + n - 1. Suppose -94 + 104 = 5*g. What are the prime factors of a(g)?
3, 11
Suppose 5*h - m - 2803 = 0, 8*h = 10*h - 4*m - 1114. What are the prime factors of h?
3, 11, 17
Suppose 0 = -3*j - 2*i + 1525, -5*j + 3111 = -i + 578. What are the prime factors of j?
3, 13
Suppose 78 = -2*l + 5*i, -3*l - i - 104 = -2*i. Let k be (6/4 + -2)*l. List the prime factors of 1/(-1) - (k - 49).
31
Let o(m) = 3*m + 11. Let b = 11 - 8. Let n = b + 2. List the prime factors of o(n).
2, 13
Let v(w) be the second derivative of -w**4/12 - 5*w**3/3 + 3*w**2 + 12*w. Let x = 0 - 9. List the prime factors of v(x).
3, 5
Let v(t) be the first derivative of 41*t**3/3 + t**2 + 2*t + 28. What are the prime factors of v(2)?
2, 5, 17
Let x be (-8)/(-5) - (-8)/60*3. What are the prime factors of (45 - 3) + 0 + x?
2, 11
Suppose 3*t - t = 2*w + 8, 0 = 5*t - 5. Let j(n) = -3*n**3 + 5*n**2 + 5*n - 1. List the prime factors of j(w).
2, 5, 11
Let z(v) = 78*v**2 - v - 7. What are the prime factors of z(-2)?
307
Let f = -2 - -28. Suppose -845 = -f*m + 21*m. What are the prime factors of m?
13
Suppose 0 = 3*t + t + 24. Let b be t/2 - 7/(-1). Suppose b*h = 4*z + 92, 3*z + 25 = 4*h - 65. What are the prime factors of h?
3, 7
Suppose 2*b + 0 - 8 = 0. Suppose b*h + 135 = 7*h. Suppose -4*f + 7*f - h = 0. List the prime factors of f.
3, 5
Let j(h) = h**3 + 4*h**2 - 13*h - 5. Let i be j(-8). Let t = -78 - i. What are the prime factors of t?
79
Let t be 0 - -1*(-1112)/(-2). What are the prime factors of t/14 - -4*(-2)/(-28)?
2, 5
Suppose 17 = 3*r - 7. Let p(o) = 3*o**3 + r + 0*o + 5*o - 4*o**3 - 5*o**2 + 2*o. List the prime factors of p(-6).
2
Suppose -5*r = 2*g - 550, 17*g - 19*g = 4*r - 550. List the prime factors of g.
5, 11
Let n(s) be the first derivative of -6 + 3/2*s**2 - 10*s. List the prime factors of n(9).
17
Let y(i) = -12*i + 2. Suppose k + 4*l - 42 = 6*k, 0 = 5*k - 3*l + 44. Let g be -3 + -1 - (k - -8). What are the prime factors of y(g)?
2, 13
Suppose 8 = 2*r, -3*c = -2*r + 6*r - 235. Let w = c - 124. Let p = w - -89. List the prime factors of p.
2, 19
Let t = -71 - -74. Suppose -p = k - 18, -k - 5*p + t + 19 = 0. List the prime factors of k.
17
List the prime factors of (6/(-10))/(1/(-2010)).
2, 3, 67
Suppose n + 2 = 12. Suppose -6*b + b + n = 0. Suppose -4*o + b*o + 4*w + 36 = 0, 60 = 4*o - 4*w. List the prime factors of o.
2, 3
Let r(g) = -g**2 + g + 3. Let d(o) = -o + 1. Let v(s) = 2*d(s) + r(s). Let a be v(-2). Suppose -a*p + 60 + 39 = 0. List the prime factors of p.
3, 11
Let y = 339 - 268. List the prime factors of y.
71
Let i be -4 + 0*(-4)/(-8). Let f be 4*i*(-3)/24. List the prime factors of (f/(-1))/(4/(-54)).
3
Let g = 29 - 65. Let p = g - -108. What are the prime factors of p?
2, 3
Suppose -1852 = -5*b + o, -3*b - 2*o - 8 = -1127. List the prime factors of b.
7, 53
Let p(b) = -2*b**3 + 8*b**2 - 7*b - 11. Let o be p(-6). Let a = o - 459. List the prime factors of a/5 + (-34)/85.
2, 29
Let h(l) = 3*l**2 + l - 8. Let b be h(-10). Let d = b + -192. List the prime factors of d.
2, 3, 5
Let p(i) = i**2 - 19*i + 3. Let s be p(18). Let n = -13 - s. List the prime factors of n.
2
Let c = -40 + -22. Let g = c + 88. Suppose 3*b - i - 128 = 0, b + g = 2*b + 3*i. What are the prime factors of b?
41
Let n(t) = -4*t**2 - 2*t + 5. Let w be n(5). Suppose 5*k + 93 + 282 = 0. Let b = k - w. What are the prime factors of b?
2, 3, 5
Let v = 4976 - 3347. List the prime factors of v.
3, 181
Let g(f) = -2*f + 2. Let o be g(3). Let p = o - -8. Suppose 2*i - 47 = -p*x + 21, 3*i - 2*x - 110 = 0. List the prime factors of i.
2, 3
Let x(c) = 4*c**3 - 6*c**2 + 3*c + 35. What are the prime factors of x(7)?
2, 3, 7
Let h = -781 - -1963. What are the prime factors of h?
2, 3, 197
Let o(m) = 2*m**2 + 2*m - 6. Let a be o(-3). What are the prime factors of (46 - 1)*28/a?
2, 3, 5, 7
Let y(i) = i**3 - 3*i**2 - i - 9. List the prime factors of y(6).
3, 31
Let r(a) = -36*a + 17. Let w(n) = -9*n + 4. Suppose -3*j - 17 = l, -j - 30 = 4*j + 2*l. Let u(o) = j*r(o) + 18*w(o). List the prime factors of u(-2).
2, 5
Let z(k) = 3*k**2 + k - 6. Let h = 18 + -33. Let f = h - -20. What are the prime factors of z(f)?
2, 37
Let j be (-1)/(-2) + 2/4. Let d(v) = 1 - v**2 - 1 + 3*v - v**3 - 2 + 41*v**3. What are the prime factors of d(j)?
2, 5
Let h = -58 + 9. Let a = h - -56. List the prime factors of a.
7
Let c be (1 - 1 - 3)*(2 - 3). Suppose -i = c*a - 195, 0*a + 2*a = 3*i + 141. List the prime factors of a.
2, 3, 11
Let n = -599 - -710. List the prime factors of n.
3, 37
Let i be (-6)/33 + (-501)/(-33). Suppose -2 = -2*n, -n - 82 + i = -2*k. What are the prime factors of k?
2, 17
Let s(d) = 2*d + 5. Let n(o) = -5*o - 16. Let a(v) = -2*n(v) - 7*s(v). Suppose c - 2 = -6. List the prime factors of a(c).
13
Let r(c) = -2*c**3 - 9*c**2 - 6*c - 7. Let n be r(-4). List the prime factors of ((-138)/(-5))/(n/5).
2, 3, 23
Let p(l) be the first derivative of -l**4/4 + 8*l**3/3 - 5*l**2/2 - l + 9. Suppose c + 11*v - 6*v = 17, -c + 5 = -v. What are the prime factors of p(c)?
13
Let q(l) = 566*l**2 - 10*l - 8. List the prime factors of q(-1).
2, 71
Let u = -3060 - -8322. List the prime factors of u.
2, 3, 877
Let l = -1005 - -2213. What are the prime factors of l?
2, 151
Let u(a) = -a**3 + a**2 - a - 1. Let q(k) = -4*k**3 + 8*k**2 - 6*k - 5. Let o(d) = -q(d) + 3*u(d). What are the prime factors of o(6)?
2, 7
Let b(k) be the second derivative of k**5/20 + 2*k**4/3 + k**3/2 - 9*k**2/2 + 8*k. Let y = -13 - -6. List the prime factors of b(y).
19
Let v(q) = 807*q**2 + 11*q + 11. List the prime factors of v(-1).
3, 269
Suppose -3*v + 5 = 3*m - 7, 2*m - 6 = -v. Let i(p) = -106 - 2*p**2 + 5*p + 3*p**v + 95. List the prime factors of i(-8).
13
Let n(t) be the second derivative of -t**5/20 + 5*t**4/4 - 11*t**3/3 + 21*t**2/2 - 22*t. What are the prime factors of n(12)?
3, 7
Suppose 3*d + 2*d - 13 = 4*x, -3*x + 34 = 5*d. Suppose x*h - h + 1310 = 5*p, -h = 0. What are the prime factors of p?
2, 131
List the prime factors of (-21)/84 - (-14362)/8.
5, 359
Let s be -20*(66/(-24) - -4). What are the prime factors of 182 - 5/(s/(-10))?
2, 3, 5
Let z(o) be the third derivative of o**5/30 + 7*o**4/24 - 3*o**3/2 - 8*o**2. What are the prime factors of z(4)?
3, 17
Let m(o) = -o**2 + 6*o - 5. Let j be m(4). Suppose v + 80 = -j*v + 4*f, -v - 12 = 3*f. List the prime factors of (v/8)/(3/(-36)).
3
Suppose -f + 4*g = -13, -2*g = -4*f + 2*g + 28. Suppose f*v - 7 = 3. Suppose -189 + 61 = -4*l + v*w, -w = -l + 33. What are the prime factors of l?
31
Let b = -11 + 19. Suppose k - 5*w - b = 0, k = -3*k - w - 73. Let j = -3 - k. What are the prime factors of j?
2, 7
Suppose -4*r = 4*t + 132, -2*t - 3*t - 171 = -r. Let q = -17 - t. Let k = 54 - q. List the prime factors of k.
37
Let h be (-1)/4 - 6408/(-32). Suppose 0*c + h = 4*c - 4*b, 240 = 5*c + 5*b. What are the prime factors of c?
7
Let o(b) = b**2 + 5*b - 31. Let r = 91 - 110. List
|
{
"pile_set_name": "DM Mathematics"
}
|
d: 5, i: 4, c: 8}?
1/119
What is prob of sequence dp when two letters picked without replacement from ddddddddpddddpddddd?
17/171
What is prob of sequence pvnv when four letters picked without replacement from {d: 2, c: 1, p: 2, n: 1, q: 7, v: 2}?
1/8190
Two letters picked without replacement from mcciluxmu. What is prob of sequence mx?
1/36
What is prob of sequence id when two letters picked without replacement from {i: 1, d: 4, v: 2}?
2/21
What is prob of sequence qzc when three letters picked without replacement from cceececuccceczcecueq?
1/684
Four letters picked without replacement from {w: 1, o: 3, m: 2, u: 4, r: 7, s: 1}. Give prob of sequence rusr.
7/3060
Three letters picked without replacement from eeezeeeeeeeeeeeeee. Give prob of sequence zee.
1/18
Two letters picked without replacement from kgkmkmu. Give prob of sequence ug.
1/42
What is prob of sequence jdj when three letters picked without replacement from ddedjvhdhhvjhjdedd?
7/816
Three letters picked without replacement from lltltltlttlt. Give prob of sequence ltt.
3/22
Two letters picked without replacement from lxxlpztxpzlpr. Give prob of sequence pz.
1/26
What is prob of sequence tm when two letters picked without replacement from tttmtm?
4/15
What is prob of sequence xd when two letters picked without replacement from ffdxoodpfqdpo?
1/52
Two letters picked without replacement from {b: 2, s: 1, h: 11, j: 1, m: 4}. Give prob of sequence jm.
2/171
Calculate prob of sequence yy when two letters picked without replacement from {v: 1, r: 1, x: 1, l: 1, y: 8}.
14/33
Two letters picked without replacement from {w: 1, v: 1, d: 2, z: 1, g: 1, y: 2}. What is prob of sequence dz?
1/28
Four letters picked without replacement from iiixooioohx. Give prob of sequence xoxi.
2/495
Calculate prob of sequence ill when three letters picked without replacement from ldil.
1/12
Four letters picked without replacement from {b: 9}. Give prob of sequence bbbb.
1
What is prob of sequence yfy when three letters picked without replacement from yfyyf?
1/5
Three letters picked without replacement from nynfeyeyyyyyeuyenyy. Give prob of sequence enf.
2/969
What is prob of sequence wevv when four letters picked without replacement from {e: 5, w: 1, v: 7}?
7/572
What is prob of sequence mww when three letters picked without replacement from {x: 5, w: 10, m: 3, z: 2}?
3/76
Three letters picked without replacement from qbontctnb. What is prob of sequence ttb?
1/126
Calculate prob of sequence rtr when three letters picked without replacement from {t: 3, r: 3, b: 2}.
3/56
Three letters picked without replacement from nxnxxxnxxx. What is prob of sequence nxn?
7/120
Calculate prob of sequence up when two letters picked without replacement from pcfccfufcfffcpffucc.
2/171
Two letters picked without replacement from {j: 4, z: 9, g: 3}. What is prob of sequence jz?
3/20
Calculate prob of sequence zorz when four letters picked without replacement from {r: 1, o: 2, z: 4}.
1/35
Two letters picked without replacement from {j: 1, o: 7}. What is prob of sequence oo?
3/4
Three letters picked without replacement from {u: 2, c: 2}. Give prob of sequence cuc.
1/6
Two letters picked without replacement from nntfnnffnntnnnnnnn. Give prob of sequence fn.
13/102
Calculate prob of sequence ll when two letters picked without replacement from zsaszlsslssz.
1/66
What is prob of sequence aala when four letters picked without replacement from {l: 1, a: 3, e: 6, p: 3}?
1/2860
Four letters picked without replacement from ttcddddctccddct. Give prob of sequence dddc.
5/273
Calculate prob of sequence unu when three letters picked without replacement from nnwunnnwwnnnnnwunnwn.
13/3420
Three letters picked without replacement from {e: 1, f: 2, d: 6, p: 3, x: 2}. Give prob of sequence exd.
1/182
What is prob of sequence mxt when three letters picked without replacement from {l: 1, x: 1, m: 1, p: 2, g: 9, t: 6}?
1/1140
Four letters picked without replacement from eeexxeeeee. Give prob of sequence exex.
1/45
What is prob of sequence ob when two letters picked without replacement from {b: 5, o: 5}?
5/18
Two letters picked without replacement from sccwws. Give prob of sequence wc.
2/15
Three letters picked without replacement from ttttqttttqtt. Give prob of sequence qtq.
1/66
Calculate prob of sequence zim when three letters picked without replacement from {m: 3, i: 3, z: 4, l: 3}.
3/143
Two letters picked without replacement from yrwrbheb. Give prob of sequence eb.
1/28
Four letters picked without replacement from {l: 6, d: 6}. What is prob of sequence lldd?
5/66
What is prob of sequence ztt when three letters picked without replacement from tttzttzttt?
7/45
Three letters picked without replacement from {v: 1, l: 1, k: 7, g: 4}. What is prob of sequence lvg?
1/429
Three letters picked without replacement from {v: 4, q: 1, f: 5}. What is prob of sequence vvq?
1/60
Calculate prob of sequence ibri when four letters picked without replacement from ixfrkxbb.
0
Calculate prob of sequence ixge when four letters picked without replacement from inxxiegxignnnini.
1/1456
Four letters picked without replacement from {v: 18, p: 2}. Give prob of sequence pvvv.
8/95
Calculate prob of sequence gx when two letters picked without replacement from xgggogmggjmgjg.
4/91
Three letters picked without replacement from {y: 3, k: 5, v: 5}. What is prob of sequence vkv?
25/429
Two letters picked without replacement from jjpjnjpnnnnnnpnn. What is prob of sequence jp?
1/20
Calculate prob of sequence zs when two letters picked without replacement from {s: 2, h: 5, z: 2}.
1/18
What is prob of sequence pfh when three letters picked without replacement from pefffhhfyfyffhpheyf?
32/2907
Four letters picked without replacement from {n: 1, q: 5, k: 1, w: 5, v: 1, f: 2}. What is prob of sequence wvfn?
1/3276
What is prob of sequence uqpc when four letters picked without replacement from hzzcpqzcqhuq?
1/1980
Calculate prob of sequence sssu when four letters picked without replacement from suss.
1/4
Calculate prob of sequence ddjj when four letters picked without replacement from {m: 1, g: 4, k: 2, j: 2, c: 6, d: 2}.
1/14280
Four letters picked without replacement from {a: 4, n: 1, f: 8}. What is prob of sequence anaa?
1/715
Four letters picked without replacement from {f: 14, o: 4}. Give prob of sequence foof.
91/3060
Calculate prob of sequence tg when two letters picked without replacement from tagpq.
1/20
Four letters picked without replacement from {z: 2, h: 8, v: 2, p: 6}. Give prob of sequence zzvp.
1/3060
Calculate prob of sequence jb when two letters picked without replacement from {l: 1, k: 3, j: 6, b: 2, f: 3, m: 4}.
2/57
Three letters picked without replacement from {w: 4, i: 1, u: 2, v: 1, e: 1}. What is prob of sequence iev?
1/504
Four letters picked without replacement from suuurusuursus. What is prob of sequence usrr?
7/2145
What is prob of sequence ffv when three letters picked without replacement from {v: 3, f: 4}?
6/35
Three letters picked without replacement from {f: 4, p: 1, q: 4, a: 1, n: 3}. Give prob of sequence naq.
1/143
Two letters picked without replacement from gsggs. Give prob of sequence gg.
3/10
Calculate prob of sequence lls when three letters picked without replacement from {s: 4, l: 14}.
91/612
Calculate prob of sequence he when two letters picked without replacement from dkkxehq.
1/42
Two letters picked without replacement from {g: 1, a: 5, l: 1, x: 2, j: 6}. What is prob of sequence xj?
2/35
Two letters picked without replacement from {l: 11, m: 2, g: 6}. What is prob of sequence mm?
1/171
Two letters picked without replacement from {y: 4, m: 8, e: 2, v: 2, i: 4}. What is prob of sequence mi?
8/95
What is prob of sequence gm when two letters picked without replacement from {m: 8, g: 4, i: 1}?
8/39
Four letters picked without replacement from {d: 1, t: 7, i: 2, a: 4}. Give prob of sequence tiia.
1/429
Two letters picked without replacement from wrhhwrrwhrw. Give prob of sequence rr.
6/55
What is prob of sequence pyyp when four letters picked without replacement from ypppyy?
1/10
Three letters picked without replacement from {f: 5, z: 5, x: 4}. What is prob of sequence fzf?
25/546
Three letters picked without replacement from lplllplpillollppmo. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the smallest value in 1, 0, k, s?
k
Let f = -16364 - -49088/3. Which is the smallest value? (a) -0.9 (b) 2 (c) f
c
Let k = 1222 + -18352/15. Let r = k + 131/120. Let j = -5/3 - -4/3. Which is the fourth smallest value? (a) -2/11 (b) j (c) 1/2 (d) r
c
Let s = 40665 - 40669. Which is the third smallest value? (a) 1 (b) s (c) -2/69 (d) 7
a
Let d be 6/2 + 175/(-55). Let o = 13 - -38. Let i be ((-3 + 0)*-1)/(o/(-2)). What is the third biggest value in 5, d, -0.5, i?
d
Let g be (-6)/(-48)*(-6)/4. Let m = -1.494 - -1.34. Let y = m + 1.154. Which is the second smallest value? (a) -0.5 (b) g (c) y
b
Let h be (-24)/(-10) - (-2)/(-5). Suppose -2 = 2*l + h. Let m = 143875 + -143872. Which is the smallest value? (a) -5/3 (b) 5 (c) m (d) l
d
Let w = 0.8928 - 0.0928. What is the third biggest value in -3, w, -4, -50?
-4
Let a = -40.4 - -51.7. Let p = -52 + 45.7. Let z = a + p. What is the smallest value in 2.7, 2/11, -1, z?
-1
Let d = -2890 - -2918.79. Let t = d - 29. Let j = t + -0.79. What is the smallest value in 10, j, 0.3?
j
Let d be -20 + 1*(2 + 0). Let a be 23/63 - (-4)/d. Let q(f) = -2*f**3 + 28*f**2 - 62*f - 47. Let n be q(11). What is the second smallest value in 4, n, a?
a
Let i(y) = -250*y + 501. Let d be i(2). What is the second smallest value in -4, -3/8, d, 6?
-3/8
Let h = -22.47 + 22.87. What is the third smallest value in -4, h, -0.038?
h
Suppose 4*d + 5*x - 12 = 0, -3*x + 2*x = 4*d + 4. Let w be d/14*(7 - (1 + 4)). Which is the smallest value? (a) -2/3 (b) -3/4 (c) w
b
Let n be ((-8)/(720/(-27)))/(21/(-56)). What is the fourth smallest value in -18, 5, n, 15?
15
Let i = -0.4 + 0.2. Suppose -754*y = -659*y + 475. Which is the smallest value? (a) y (b) i (c) -0.5
a
Suppose -3*u - 3*t = t + t, 0 = 5*t. Suppose b + n - 4 = 7, 2*b - 4*n + 8 = u. What is the fourth biggest value in b, 0, 2/3, -11?
-11
Let i = -5.6 + 6. Let u = -272818 - -3000996/11. Which is the fourth biggest value? (a) i (b) u (c) 0.2 (d) -22
d
Let f = 248.79 - 247. Let k = -7.51 - f. Let j = 8.8 + k. Which is the biggest value? (a) -1/4 (b) -3 (c) j
a
Let o = 2 + -1.75. Let x = -722 + 721.65. Let p = x + o. What is the third biggest value in 1/3, p, 0.3?
p
Let j = 0.583 - 0.533. Let m be 4/(16/(-9)) + 27/9. What is the fourth smallest value in -1/7, 1, j, m?
1
Let q(h) = -11*h + 4. Let k be q(-6). Suppose 8*i - 10 = k. Suppose -5*s + i - 5 = 0. Which is the biggest value? (a) 5 (b) -2 (c) s (d) 0.4
a
Let f be (-3)/(45/1581) + 1. Let o = 105 + f. Let n = 12/47 - 38/517. What is the fourth biggest value in n, 0.2, -5, o?
-5
Let i = 3033 + -3035. Which is the second biggest value? (a) -8 (b) -35 (c) i
a
Let k = -15.6 - -34.3. Let t = 19 - k. Suppose 2*g = -3*m + 6*g + 6, -4*m = -g + 5. Which is the second smallest value? (a) 3/2 (b) t (c) m (d) -4
c
Let i be (-8 + 0 - (31640/(-1980) - -3)) + -5. What is the second biggest value in -2/9, i, 13/5?
i
Let j(s) = -s**3 - s**2 + s - 14. Let r be j(0). Let l = -5.91 + 5.8131. Let n = -0.2031 + l. Which is the third smallest value? (a) r (b) -2 (c) n
c
Let a = -54.8 + 55. Let o = -0.1 - a. What is the smallest value in -3, 4, o, -8?
-8
Let p = -1027 + 1031. Let z = p - 4.2. Which is the fourth biggest value? (a) z (b) 4 (c) -3 (d) 5
c
Let l = -0.015 + 1.015. Suppose -10*s = -2*s - 16. Suppose 0 = -2*n + g - 5*g - 10, s*n + 3*g + 10 = 0. What is the second smallest value in n, l, 3, 2/15?
2/15
Let z = -421 - -420.879. Let a = z + 0.061. Let o = -4 + 4.4. What is the third biggest value in 5, a, o?
a
Let h = 0.02891 + 2.97109. Which is the fourth smallest value? (a) -2 (b) 3/8 (c) -36 (d) h
d
Let x be (4/(-21))/((-1)/((-2398)/(-132) - 17)). Let d = 4 - -1. Let h = -1/4 + 3/4. Which is the third smallest value? (a) x (b) d (c) h
b
Let y = 164.6 - 143. Let o = y - 22. Let x = -1549/85 - -92/5. Which is the third biggest value? (a) o (b) x (c) 0.4
a
Let t = -371.8 + 383. Let x = 14.2 - t. Let g be (-1 + 2)/(1/(-3)). What is the second smallest value in g, -5, x, -3/4?
g
Let n = 11.93 - 12. Let h = n - -0.17. Let b = 6.72 + -7.02. What is the biggest value in h, -0.6, b?
h
Let s = -5661.7 + 5662. What is the smallest value in 0.2, s, 0.68, -2/9?
-2/9
Let z = 4 - 4.8. Let q = -3.2 + z. Suppose 1732*o = 1722*o + 30. Which is the biggest value? (a) -1/7 (b) o (c) q
b
Suppose -4*u = -0*u - h + 4, -26 = 5*u + 4*h. Suppose -4 = d - 1. Let c be d/15*35/(-42). What is the smallest value in 4, c, u?
u
Let a = 1623 + -1702. Let k = -13 + 15. What is the third biggest value in k, -3, a?
a
Let l be 34/(-30) + (-3 - (-40)/12). Let w(i) = -i**2 + 5*i - 6. Let f be w(3). Let s = 6/65 - 172/455. Which is the second smallest value? (a) s (b) f (c) l
a
Let f = 1.3072 + 0.6928. What is the biggest value in f, 0.2, 27?
27
Let u = -0.17688 + -0.10312. Which is the second biggest value? (a) 1/6 (b) u (c) 0.2 (d) -0.4
a
Let m = 44 + -33. Suppose -5*p = -j + 10, 16*j - m*j = 25. Let k be 1/(-1 - (-6)/5). Which is the smallest value? (a) -2/5 (b) k (c) p
c
Let d = 3.5178 - 3.1978. Which is the smallest value? (a) -37 (b) 3/5 (c) d
a
Let q = -427/22 + 821/44. Let m = 0.4 - 0.1. What is the fourth biggest value in 3, m, 0.5, q?
q
Let z(g) = 4*g**2 - 111*g - 110. Let k be z(-1). Which is the second biggest value? (a) -35 (b) 2 (c) 0.5 (d) k
b
Let p = -565 + 565. Suppose 0 = y + 3*k + 12, 4*y - 9*y - 9 = -2*k. What is the third biggest value in 0.2, 5, p, y?
p
Let n = -177.2 + 15.2. Let g = 161.9 + n. Which is the biggest value? (a) g (b) -4 (c) 2 (d) -0.5
c
Let q = 71.5 - 62.16. Let j = -8.6 + q. Let z = j - 0.44. What is the biggest value in z, -4, -22?
z
Let u = 2393 + -2398. Which is the second biggest value? (a) u (b) 223 (c) 0.5 (d) -0.5
c
Let v = -604.6 - -3.6. Let l = -600.9 - v. Which is the third biggest value? (a) l (b) -0.5 (c) -0.03 (d) 4
c
Let s = 9.498 - 9.55. Let u = -212 + 211.652. Let g = s + u. Which is the second biggest value? (a) -2 (b) g (c) 3
b
Let j = -3056.9 - -3057. Which is the smallest value? (a) -11 (b) 29 (c) j
a
Let q = 26709/14 + -1908. Which is the third smallest value? (a) 32 (b) q (c) -2/21
a
Let u = 18286 + -18289. What is the biggest value in 0.2, 1452, 1/4, u?
1452
Let p = -302.998 + 0.998. What is the fourth biggest value in p, -2, -5, -0.4?
p
Let v(o) = 9 + 5*o + 42 - 2*o + 23. Let i be v(-25). Which is the third biggest value? (a) -10 (b) i (c) -0.2 (d) 3/5
b
Let g = 20257.02 - 20257. Which is the fourth biggest value? (a) 0.14 (b) 4 (c) g (d) 0.2
c
Let u = 2 - 2.03. Let n = u + 0.03. Let g = -14 - -13.5. What is the biggest value in n, g, 1/4?
1/4
Let m = 2919 - 2924. What is the third biggest value in -4/5, -0.2, m, 0.28?
-4/5
Let s = 381.4 - 376.4. What is the second biggest value in 2/5, s, -1/37, -5?
2/5
Let l(r) = 6*r - 6. Let m be l(6). Let i = -27 + m. Let h = -2 - -1. Which is the fourth smallest value? (a) 0.2 (b) -0.7 (c) h (d) i
d
Let n = -2003 + 2006. Which is the biggest value? (a) 30 (b) -1/2 (c) 0.3 (d) -1 (e) n
a
Let s = -25813 - -103253/4. Which is the second smallest value? (a) -5 (b) s (c) 60
b
Let o = 5922 + -41459/7. Which is the biggest value? (a) o (b) 4 (c) 0 (d) -1/28
b
Let s be (-9 - 158/(-18))*-18. Suppose 9 + 20 = 5*h - k, -3*h + 2*k + 16 = 0. Suppose 0 = -z + h*z + 30. What is the fourth smallest value in z, s, 5/2, 5?
5
Let d = -0.5291 - -0.7291. Which is the smallest value? (a) d (b) 121 (c) -1
c
Let f = 76.5 - -146.2. Let o = -203 + f. Let n = o + -10.7. What is the third biggest value in n, -2, 5?
-2
Suppose 722 = -3*p + 731. Let l = -12/23 - -193/414. Which is the fourth biggest value? (a) -2/5 (b) p (c) l (d) 2/5
a
Let d(y) = 5*y**3 + y**2 + 3*y + 2. Let z be d(-3). Let k = z - -131. Which is the second biggest value? (a) 9 (b) 0.4 (c) k
b
Let f = -1 - 3. Suppose 3*x + 4 - 1 = -3. Which is the fourth smallest value? (a) x (b) f (c) -0.05 (d) -3
c
Let k = 336 + -336. What is the smallest value in 0.2, k, -171?
-171
Let c = 0.0063 + 154.4937. Let q = -155 + c. What is the fourth biggest value in q, 7, -0.3, -4/7?
-4/7
Let p = 0.132 + -14.332. Let m = -0.8 + p. Let k = m - -13. Which is the smallest value? (a) 0.5 (b) k (c) 1 (d) 0.1
b
Let d = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
*p - 6. Determine 6*s(d) - 11*v(d).
-22*d**3
Suppose -3*c + 5*c = -4. Let l(h) be the second derivative of -13*h**3/6 - 9*h**2/2 - 25*h. Let r(b) = 3*b + 2. Calculate c*l(g) - 9*r(g).
-g
Let t(p) = -1. Let k(b) = b - 5. Let s(y) = y - 4. Let c(x) = 4*k(x) - 6*s(x). What is -c(q) - 3*t(q)?
2*q - 1
Let y(b) = -5*b**3 - 2*b**2 + 6. Let t = -7 + 6. Let d(g) = -g**3 + 1. Suppose 0 = s - 3. Suppose -s*o + o + 12 = 0. Give o*d(h) + t*y(h).
-h**3 + 2*h**2
Let k(u) = 2*u - 28. Let q(p) = 2*p - 29. Determine -3*k(y) + 2*q(y).
-2*y + 26
Let o(z) = -5*z**3 - 6*z**2 + 21*z - 11. Let l(d) = -d**3 - d**2 + 4*d - 2. What is 11*l(k) - 2*o(k)?
-k**3 + k**2 + 2*k
Let n(x) = 11*x**3 - 17*x**2 - 17*x. Let l = -6 + 9. Suppose 4*z - 8 = -0. Let k(y) = -3*y**3 + l*y**z + 0*y**3 + y**3 + 3*y. Calculate 34*k(a) + 6*n(a).
-2*a**3
Let z be -1*(-1 + (-4 - -3)). Suppose 9*b - 11 = s + 4*b, -s = -z*b + 8. Let q(m) = 1. Suppose f = -4*f - 10. Let o(g) = g - 3. Determine f*o(u) + s*q(u).
-2*u
Let k(c) = 2*c**3 - 3. Let v(n) = -2*n**3 + n**2 - n + 4. Give -3*k(p) - 2*v(p).
-2*p**3 - 2*p**2 + 2*p + 1
Let z(j) be the third derivative of j**4/12 - 3*j**3/2 - 17*j**2. Let f(u) = -u + 5. Calculate -5*f(l) - 3*z(l).
-l + 2
Let s(w) = w - 16. Let b(p) = -p + 8. What is -9*b(m) - 4*s(m)?
5*m - 8
Suppose 0 = -5*u + 8 + 7. Let c(d) = -2*d**2 + 5*d. Let j(y) = -2*y**2 + 3*y**2 - y + 3*y - 6*y. What is u*j(z) + 2*c(z)?
-z**2 - 2*z
Let f(q) = -q**2 - q - 1. Let x(o) = -5 - 7*o**2 - 6*o + 8 - 2 - 7. Calculate -6*f(v) + x(v).
-v**2
Let u = 16 - 22. Let l(c) = -20*c**3 - 11*c**2 + 17. Let h(r) = -7*r**3 - 4*r**2 + 6. What is u*l(z) + 17*h(z)?
z**3 - 2*z**2
Let m(p) = -7*p - 2. Let z(y) = 29*y + 8. Give 9*m(o) + 2*z(o).
-5*o - 2
Let v(u) = -11*u**2 + 8*u + 6. Let a(y) = 10*y**2 - 7*y - 5. Determine 6*a(m) + 5*v(m).
5*m**2 - 2*m
Let h be (-4)/(-12) + 10/(-3). Let k(r) = -r**2 - 5*r + 5. Let u(v) = 3*v - 3. Suppose 2*o + 4*s + s + 10 = 0, -2*o + 4*s - 10 = 0. Calculate h*k(d) + o*u(d).
3*d**2
Let n(q) = -q**3 - q. Let w(v) = 4*v**3 + 6*v. Suppose 0 = -m + 2, 4*z + 7 = z + 5*m. Calculate z*w(h) + 6*n(h).
-2*h**3
Let w(d) be the first derivative of -d - 1/3*d**3 + 1/2*d**2 - 1. Let x be w(2). Let l(f) = 1. Let z(v) = -v + 5. Give x*l(q) + z(q).
-q + 2
Let s = 13 - 27. Let b = 4 + s. Let g(n) be the second derivative of n**3/6 - 3*n**2/2 + n. Let p(o) = 2*o - 5. Determine b*g(t) + 6*p(t).
2*t
Let r be (1 + 2 + -9)/((-4)/(-2)). Let j(o) = 3*o**3 - 4*o**2 - 5*o - 3. Let h(p) = -2*p**3 + 2*p**2 + 3*p + 2. What is r*j(b) - 5*h(b)?
b**3 + 2*b**2 - 1
Suppose -5 = -w - 1. Let f(g) = -4*g + 3*g - 3 - g. Let t(q) be the third derivative of q**4/24 + q**3/3 + 3*q**2. What is w*f(c) + 7*t(c)?
-c + 2
Let j(p) = -108*p. Let q(a) = a. What is j(v) + 12*q(v)?
-96*v
Let r(n) = -n**2 - 2*n**2 + 4*n**2. Let d(f) = -f**3 + 3*f**2 - 3*f + 1. Let j be d(2). Let i = -1 + j. Let o(l) = 2*l**2. Give i*o(c) + 6*r(c).
2*c**2
Let v(s) be the second derivative of s**4/4 - 3*s**3/2 + 5*s**2/2 - 4*s. Let m(x) = 4*x**2 - 13*x + 7. Determine 5*m(j) - 7*v(j).
-j**2 - 2*j
Suppose 11*j - 13 + 2 = 0. Let o(d) = 5*d**2 + 3*d. Let b(c) = -c**2 - c. Give j*o(k) + 3*b(k).
2*k**2
Let w(z) be the third derivative of z**4/24 + z**2. Let p(a) = a. Let q(i) = -i - 3. Let f be q(-9). What is f*w(r) - 4*p(r)?
2*r
Let v(b) = -b**2 - 1. Let h(q) = 49*q**2 + 35. Give -h(y) - 35*v(y).
-14*y**2
Let h(u) = -14 - 44*u - 7 - 9 + 6. Let f(q) = 9*q + 5. Give 24*f(i) + 5*h(i).
-4*i
Let f(q) = -12*q**2 - 12. Let a(z) = z**2 + 1. Determine -28*a(u) - 2*f(u).
-4*u**2 - 4
Let f(r) = -6*r**2 - 3*r - 9. Let x(j) = 7*j**2 + 4*j + 10. Determine 4*f(n) + 3*x(n).
-3*n**2 - 6
Let u(b) = -5*b - 4. Let l(p) = 4*p + 3. Suppose x + 2*x - 12 = 0. What is x*l(w) + 3*u(w)?
w
Let l(u) = 4*u**2 + 3*u - 9. Let q(t) = -2*t**2 - t + 4. Suppose -i = -2*i - g + 2, i = g + 8. Calculate i*q(a) + 2*l(a).
-2*a**2 + a + 2
Let t(m) = 6*m + 5*m**2 - 7 - m**3 - 3*m**3 + 2*m**3. Let n be (2 + (-1 - 0))*5. Let i(b) = -1 + 5*b**2 + b - 15*b**2 + 11*b**2. Determine n*i(l) - t(l).
2*l**3 - l + 2
Let u(s) = -2*s**2 + 3*s + 2. Let w(j) = -j**2 + 2*j + 2. Let z be 1*(-10 + 0)/(-2). Suppose z*t + 13 = 3. Determine t*u(o) + 3*w(o).
o**2 + 2
Suppose -7*a + 5*b + 1 = -3*a, 4*a - 7 = 3*b. Let i(h) = -5*h**3 - 7*h**2. Let m(u) = 3*u**3 + 4*u**2. Suppose -5*j + 7 = -4*j. Determine a*i(g) + j*m(g).
g**3
Let t(y) = -y + 1. Let h(q) = 7*q**2 + 5*q - 7. Determine h(n) + 6*t(n).
7*n**2 - n - 1
Let t(w) = -5*w + 3. Let m = -70 + 69. Let l(k) = k - 1. What is m*t(b) - 6*l(b)?
-b + 3
Let j(a) be the first derivative of 23*a**2/2 - 2. Let o(u) = -8*u. Let w = 5 + 12. What is w*o(r) + 6*j(r)?
2*r
Let u(f) be the first derivative of 13*f**4/4 - 2*f**3/3 + 2. Let v(x) = 7*x**3 - x**2. Give 4*u(s) - 7*v(s).
3*s**3 - s**2
Let y(s) = -5*s**2 - 5*s - 11. Let l(m) = -3*m**2 - 2*m - 5. Determine 9*l(j) - 4*y(j).
-7*j**2 + 2*j - 1
Let d(f) = -2*f**3 - 3*f**2 + 4*f + 1. Let l be d(-3). Let i be l/(-6)*(-36)/16. Let j(s) = 8*s. Let g = -2 - -1. Let u(c) = c. Give g*j(m) + i*u(m).
-2*m
Let r(d) = -d**3 + d**2 + d. Let g(h) = 12*h**3 - 6*h**2 - 7*h + 1. Determine g(p) + 6*r(p).
6*p**3 - p + 1
Let l(a) = 5*a**3 - 2*a + 10. Let j(t) = 3*t**3 - t + 7. What is 8*j(b) - 5*l(b)?
-b**3 + 2*b + 6
Let u(z) = -z + 10. Let s be u(7). Suppose q + 0*q - 12 = 0. Let n(t) = 12*t + 2 - q*t - t**2. Let d(g) = -2*g**2 + 3. Give s*d(x) - 5*n(x).
-x**2 - 1
Let u(t) = -t**2 - 2*t + 3. Let l be 5 + 0 + 0 - 1. Let d be (-3 - -1 - 3) + (-44)/(-11). Let i(q) = 1. Give d*u(f) + l*i(f).
f**2 + 2*f + 1
Let h(c) = c - 5. Let a be (-4)/(-1) + (-10)/5. Let i(p) = -2*p + 11. Determine a*i(y) + 5*h(y).
y - 3
Let q(j) = 6*j + 4. Let n(d) = 6*d + 5. Let t(s) = 5*s + 4. Let c(a) = 3*n(a) - 4*t(a). Calculate -7*c(y) - 2*q(y).
2*y - 1
Let t(s) = -16*s**3 + 5*s**2 + 5*s - 7. Let d(q) = 8*q**3 - 2*q**2 - 2*q + 3. Determine 5*d(k) + 2*t(k).
8*k**3 + 1
Let t(n) = 7*n + 1. Let v(w) = 35*w + 5. Give 22*t(k) - 4*v(k).
14*k + 2
Let j(k) = -1. Let c(u) = 6*u + 3. What is -c(p) - 3*j(p)?
-6*p
Let v(h) = 3*h**2 - 5*h. Let y(u) = -u**2 + 2*u. Suppose j = 22 - 4. Suppose -j = 3*i - 0*i. Give i*v(z) - 15*y(z).
-3*z**2
Let m(k) = 79*k**2 + 8. Let c(y) = -26*y**2 - 3. What is 8*c(u) + 3*m(u)?
29*u**2
Let n(i) = -6*i - 3. Let x(r) = -19*r - 9. Give 7*n(b) - 2*x(b).
-4*b - 3
Let m(s) = 5*s - 8. Let l(q) = q + 1. Let b be l(0). Let n(f) = -5 + f - 5 + 10. Let w(j) = 2*j + 1. Let h(x) = -3*n(x) + w(x). Calculate b*m(o) + 6*h(o).
-o - 2
Let a(m) = 9*m**3 - 4*m**2 + 5*m. Let x(v) = 8*v**3 - 3*v**2 + 4*v + 1. Give 3*a(d) - 4*x(d).
-5*d**3 - d - 4
Suppose -11 = 3*j + 4. Let z(m) = 4*m**2 - 3*m + 7. Let p(t) = 2*t**2 - t + 3. Give j*p(x) + 2*z(x).
-2*x**2 - x - 1
Let h(x) = 2*x. Let s(u) = u - 1. Calculate -5*h(o) + 6*s(o).
-4*o - 6
Let w(z) = -5*z**2. Let f(c) = -c. Let p be 10*((-2)/(-4) + -1). Let h be f(p). Let j(k) = -9*k**2. Calculate h*w(u) - 3*j(u).
2*u**2
Let w(z) = -28*z**2 + 3*z - 3. Let x(j) = j**2 - j + 1. Give w(k) + 3*x(k).
-25*k**2
Let o(h) = 5*h + 7. Let l(p) = -15*p - 20. Give -6*l(r) - 17*o(r).
5*r + 1
Let q(t) = 96*t. Let g(o) = -32*o. Give -16*g(i) - 5*q(i).
32*i
Let g(z) = 8*z**3 + 2*z**2 + 6*z + 5. Let b = 3 + 3. Let w = -4 - -9. Let o(u) = -46*u - 4 + 21*u + 20*u - 2*u**2 - 7*u**3. Calculate b*o(r) + w*g(r).
-2*r**3 - 2*r**2 + 1
Let k(o) = 7*o**3 - 8*o**2 - 8. Suppose -19 = -4*y - 115. Let d(g) = -g**3 + g**2 + 1. Determine y*d(q) - 3*k(q).
3*q**3
Let n(i) = -7*i - 6. Let t(l) = -20*l - 17. Let a(k) = k**3 - 8*k**2 + 7*k - 6. Let g = 22 - 15. Let j be a(g). Determine j*t(z) + 17*n(z).
z
Let i(k) = 4*k**2 + 3*k + 5. Let j(u) = 2*u + 37 + 3*u**2 - 33 + 0*u. What is 4*i(r) - 5*j(r)?
r**2 + 2*r
Let o(x) = x**2 + 11. Let b(y) = -1. Let w(h) = -2*b(h) - o(h). Suppose 0*u - 5*u - 10 = 0. Let m(s) = -1. Let c be (-18)/(1 + 2/(-1)). Give c*m(g) + u*w(g).
2*g**2
Let q(o) = -2*o + 3. Let w = 35 + -37. Let h(s) = s - 1. Let d(n) = 5*n - 4. Let v(a) = -d(a) + 6*h(a). Determine w*q(k) - 3*v(k).
k
Let w be (1 - 1)/2 - 3. Let h(u) be the first derivative of -u**2/2 - u - 11. Let a(d) = -2*d - 2. Give w*h(o) + 2*a(o).
-o - 1
Let r(a) = 8*a - 8. Let k(v) be the third derivative of -5*v**4/8 + 5*v**3/2 + 3*v**2. Calculate 6*k(o) + 11*r(o).
-2*o + 2
Let w(i) = -i**2 - 5*i + 4.
|
{
"pile_set_name": "DM Mathematics"
}
|
11
Calculate the remainder when 16206 is divided by 16.
14
What is the remainder when 97 is divided by 55?
42
Calculate the remainder when 207 is divided by 71.
65
Calculate the remainder when 75 is divided by 51.
24
Calculate the remainder when 138 is divided by 122.
16
Calculate the remainder when 191 is divided by 39.
35
What is the remainder when 38719 is divided by 40?
39
What is the remainder when 339 is divided by 55?
9
Calculate the remainder when 1367 is divided by 14.
9
Calculate the remainder when 27 is divided by 4.
3
What is the remainder when 758 is divided by 167?
90
Calculate the remainder when 278 is divided by 8.
6
Calculate the remainder when 276 is divided by 193.
83
Calculate the remainder when 67 is divided by 35.
32
What is the remainder when 74 is divided by 10?
4
What is the remainder when 729 is divided by 10?
9
Calculate the remainder when 9220 is divided by 1024.
4
Calculate the remainder when 361 is divided by 120.
1
Calculate the remainder when 285 is divided by 12.
9
Calculate the remainder when 895 is divided by 3.
1
Calculate the remainder when 27 is divided by 13.
1
What is the remainder when 1502 is divided by 1491?
11
Calculate the remainder when 95 is divided by 14.
11
Calculate the remainder when 919 is divided by 37.
31
What is the remainder when 45 is divided by 8?
5
Calculate the remainder when 227 is divided by 113.
1
What is the remainder when 26 is divided by 8?
2
Calculate the remainder when 57 is divided by 3.
0
What is the remainder when 151 is divided by 9?
7
Calculate the remainder when 33 is divided by 13.
7
What is the remainder when 314 is divided by 105?
104
What is the remainder when 469 is divided by 438?
31
What is the remainder when 869 is divided by 286?
11
What is the remainder when 136 is divided by 38?
22
Calculate the remainder when 92 is divided by 42.
8
What is the remainder when 832 is divided by 29?
20
Calculate the remainder when 626 is divided by 134.
90
What is the remainder when 93 is divided by 32?
29
What is the remainder when 1507 is divided by 26?
25
Calculate the remainder when 821 is divided by 164.
1
What is the remainder when 31095 is divided by 219?
216
Calculate the remainder when 2037 is divided by 20.
17
What is the remainder when 613 is divided by 89?
79
What is the remainder when 10 is divided by 2?
0
Calculate the remainder when 478 is divided by 119.
2
Calculate the remainder when 723 is divided by 4.
3
What is the remainder when 414 is divided by 83?
82
What is the remainder when 137 is divided by 48?
41
What is the remainder when 293 is divided by 15?
8
What is the remainder when 19818 is divided by 34?
30
What is the remainder when 575 is divided by 29?
24
What is the remainder when 4324 is divided by 12?
4
Calculate the remainder when 135 is divided by 119.
16
What is the remainder when 273 is divided by 57?
45
What is the remainder when 656 is divided by 553?
103
What is the remainder when 2983 is divided by 743?
11
Calculate the remainder when 269 is divided by 131.
7
Calculate the remainder when 1355 is divided by 337.
7
What is the remainder when 72 is divided by 7?
2
Calculate the remainder when 374 is divided by 25.
24
Calculate the remainder when 953 is divided by 38.
3
What is the remainder when 233 is divided by 39?
38
Calculate the remainder when 664 is divided by 158.
32
Calculate the remainder when 218 is divided by 25.
18
Calculate the remainder when 21 is divided by 15.
6
What is the remainder when 72 is divided by 39?
33
Calculate the remainder when 223 is divided by 82.
59
Calculate the remainder when 39927 is divided by 31.
30
What is the remainder when 93 is divided by 4?
1
Calculate the remainder when 92 is divided by 64.
28
Calculate the remainder when 301 is divided by 17.
12
Calculate the remainder when 1548 is divided by 5.
3
Calculate the remainder when 29 is divided by 4.
1
What is the remainder when 987 is divided by 38?
37
Calculate the remainder when 79 is divided by 14.
9
Calculate the remainder when 157 is divided by 10.
7
Calculate the remainder when 139 is divided by 13.
9
Calculate the remainder when 3381 is divided by 103.
85
Calculate the remainder when 1240 is divided by 104.
96
What is the remainder when 23 is divided by 17?
6
What is the remainder when 499 is divided by 50?
49
What is the remainder when 90 is divided by 3?
0
Calculate the remainder when 130 is divided by 69.
61
What is the remainder when 82 is divided by 32?
18
What is the remainder when 5411 is divided by 12?
11
Calculate the remainder when 240 is divided by 119.
2
What is the remainder when 2321 is divided by 83?
80
Calculate the remainder when 897 is divided by 87.
27
What is the remainder when 328 is divided by 28?
20
What is the remainder when 338 is divided by 66?
8
What is the remainder when 144 is divided by 15?
9
What is the remainder when 131 is divided by 58?
15
Calculate the remainder when 756 is divided by 50.
6
What is the remainder when 111 is divided by 103?
8
What is the remainder when 49 is divided by 14?
7
Calculate the remainder when 486 is divided by 32.
6
What is the remainder when 567 is divided by 188?
3
Calculate the remainder when 83 is divided by 48.
35
Calculate the remainder when 249 is divided by 84.
81
Calculate the remainder when 99 is divided by 15.
9
Calculate the remainder when 339 is divided by 147.
45
Calculate the remainder when 230 is divided by 8.
6
Calculate the remainder when 66 is divided by 19.
9
Calculate the remainder when 20 is divided by 8.
4
What is the remainder when 1501 is divided by 492?
25
What is the remainder when 204 is divided by 53?
45
Calculate the remainder when 156 is divided by 80.
76
Calculate the remainder when 543 is divided by 109.
107
Calculate the remainder when 778 is divided by 6.
4
Calculate the remainder when 3597 is divided by 509.
34
Calculate the remainder when 46 is divided by 12.
10
What is the remainder when 109 is divided by 13?
5
What is the remainder when 389 is divided by 26?
25
Calculate the remainder when 50 is divided by 49.
1
Calculate the remainder when 9484 is divided by 51.
49
Calculate the remainder when 1128 is divided by 373.
9
What is the remainder when 18 is divided by 5?
3
What is the remainder when 74 is divided by 5?
4
What is the remainder when 89 is divided by 55?
34
Calculate the remainder when 199 is divided by 67.
65
Calculate the remainder when 103 is divided by 17.
1
Calculate the remainder when 64 is divided by 18.
10
Calculate the remainder when 945 is divided by 4.
1
What is the remainder when 560 is divided by 17?
16
Calculate the remainder when 1312 is divided by 416.
64
What is the remainder when 13992 is divided by 36?
24
What is the remainder when 391 is divided by 8?
7
Calculate the remainder when 14848 is divided by 50.
48
Calculate the remainder when 732 is divided by 231.
39
What is the remainder when 167 is divided by 14?
13
Calculate the remainder when 230 is divided by 21.
20
Calculate the remainder when 272 is divided by 256.
16
Calculate the remainder when 983 is divided by 58.
55
Calculate the remainder when 464 is divided by 52.
48
What is the remainder when 165 is divided by 42?
39
What is the remainder when 626 is divided by 200?
26
Calculate the remainder when 1490 is divided by 489.
23
What is the remainder when 1045 is divided by 346?
7
Calculate the remainder when 3270 is divided by 364.
358
What is the remainder when 4842 is divided by 29?
28
What is the remainder when 223 is divided by 25?
23
What is the remainder when 243 is divided by 23?
13
What is the remainder when 398 is divided by 31?
26
Calculate the remainder when 7742 is divided by 64.
62
Calculate the remainder when 275 is divided by 23.
22
Calculate the remainder when 47 is divided by 7.
5
What is the remainder when 88 is divided by 25?
13
Calculate the remainder when 209 is divided by 53.
50
Calculate the remainder when 99 is divided by 41.
17
What is the remainder when 185 is divided by 153?
32
What is the remainder when 142 is divided by 18?
16
Calculate the remainder when 567 is divided by 95.
92
What is the remainder when 563 is divided by 297?
266
What is the remainder when 2906 is divided by 19?
18
What is the remainder when 2350 is divided by 62?
|
{
"pile_set_name": "DM Mathematics"
}
|
rty-three tenths of a milligram in micrograms?
3300
How many meters are there in 11/8 of a kilometer?
1375
What is 3/50 of a centimeter in micrometers?
600
Convert 2720.5101s to hours.
0.75569725
How many nanograms are there in 21/5 of a microgram?
4200
Convert 358970.7ml to litres.
358.9707
What is 26661.516ms in minutes?
0.4443586
What is thirteen quarters of a litre in millilitres?
3250
How many seconds are there in 64/5 of a minute?
768
How many minutes are there in 40.36105 hours?
2421.663
Convert 638.458065 seconds to weeks.
0.0010556515625
How many months are there in 97020.96 millennia?
1164251520
What is 235.633mm in centimeters?
23.5633
What is eleven tenths of a litre in millilitres?
1100
How many kilograms are there in 72.34672ng?
0.00000000007234672
Convert 75.24979 micrograms to grams.
0.00007524979
Convert 4012.3 litres to millilitres.
4012300
What is 0.570925 centuries in months?
685.11
How many nanometers are there in 27/4 of a micrometer?
6750
How many milliseconds are there in 72/5 of a second?
14400
How many milligrams are there in fourty-five quarters of a gram?
11250
Convert 275.9829 litres to millilitres.
275982.9
Convert 1082.76 nanograms to kilograms.
0.00000000108276
How many millilitres are there in 27/5 of a litre?
5400
What is 0.6357208 meters in micrometers?
635720.8
What is 26/5 of a century in months?
6240
What is 0.2141263 litres in millilitres?
214.1263
What is 2.233701t in micrograms?
2233701000000
Convert 15.879021 milliseconds to minutes.
0.00026465035
What is 1/5 of a litre in millilitres?
200
Convert 4.57045m to nanometers.
4570450000
How many decades are there in 187206.5 centuries?
1872065
What is three fifths of a litre in millilitres?
600
What is 253.8828 weeks in seconds?
153548317.44
How many seconds are there in eighteen fifths of a minute?
216
How many milliseconds are there in 47.09708 seconds?
47097.08
What is fifty-four fifths of a meter in centimeters?
1080
Convert 84131.87 centuries to years.
8413187
How many weeks are there in 6098379.84us?
0.0000100833
How many years are there in 1/5 of a century?
20
How many nanograms are there in 27/2 of a microgram?
13500
Convert 474.5239cm to micrometers.
4745239
What is 0.8468369 centimeters in micrometers?
8468.369
What is 3.217802l in millilitres?
3217.802
How many milligrams are there in 5.092758ng?
0.000005092758
Convert 0.1160885 millilitres to litres.
0.0001160885
Convert 823.8402m to kilometers.
0.8238402
What is 1/5 of a litre in millilitres?
200
What is 1/4 of a milligram in micrograms?
250
What is thirty-seven fifths of a litre in millilitres?
7400
What is 53/4 of a microsecond in nanoseconds?
13250
How many millilitres are there in thirteen quarters of a litre?
3250
How many milligrams are there in 11/2 of a gram?
5500
How many grams are there in 5/4 of a kilogram?
1250
How many kilometers are there in 0.3186038nm?
0.0000000000003186038
What is 0.8755137 nanometers in meters?
0.0000000008755137
How many milligrams are there in 49/4 of a gram?
12250
How many litres are there in 3.0894ml?
0.0030894
What is one twentieth of a milligram in micrograms?
50
What is 0.1563788 milligrams in grams?
0.0001563788
Convert 843.1792 weeks to microseconds.
509954780160000
How many millilitres are there in twenty-seven fifths of a litre?
5400
What is 11/2 of a microgram in nanograms?
5500
How many millilitres are there in twenty-nine halves of a litre?
14500
Convert 30876.8l to millilitres.
30876800
How many days are there in 2.0232009 minutes?
0.001405000625
What is 14958.207ms in hours?
0.0041550575
What is 687.4955mm in kilometers?
0.0006874955
Convert 82506.07 minutes to microseconds.
4950364200000
How many millilitres are there in 3/8 of a litre?
375
How many months are there in one sixth of a year?
2
What is 83003.47 millilitres in litres?
83.00347
What is 7/2 of a tonne in kilograms?
3500
What is 50.68032ml in litres?
0.05068032
What is one quarter of a kilogram in grams?
250
How many grams are there in 0.5422335 micrograms?
0.0000005422335
What is 87.111 microseconds in nanoseconds?
87111
What is 65243.89mg in tonnes?
0.00006524389
Convert 1227320.7 months to decades.
10227.6725
Convert 1.889738ng to micrograms.
0.001889738
What is three fifths of a gram in milligrams?
600
How many grams are there in 42.13013 nanograms?
0.00000004213013
How many years are there in 0.1552615 decades?
1.552615
What is 18664.88 decades in months?
2239785.6
What is 3/25 of a second in milliseconds?
120
What is 9288.676g in kilograms?
9.288676
How many kilograms are there in 0.3590468g?
0.0003590468
What is 927273.3 litres in millilitres?
927273300
How many months are there in 4440.521 decades?
532862.52
What is five quarters of a meter in centimeters?
125
How many kilograms are there in 75/2 of a tonne?
37500
How many meters are there in 40.64964 kilometers?
40649.64
What is 58.75317km in centimeters?
5875317
What is 27/5 of a minute in seconds?
324
What is 9/10 of a microgram in nanograms?
900
What is three tenths of a litre in millilitres?
300
How many nanoseconds are there in 4.343317ms?
4343317
How many milligrams are there in 44.95247kg?
44952470
What is 21/8 of a kilometer in meters?
2625
Convert 87053.55 weeks to minutes.
877499784
What is 1/80 of a meter in micrometers?
12500
How many hours are there in twenty-three sixths of a day?
92
How many millilitres are there in fifteen quarters of a litre?
3750
How many millilitres are there in 25/4 of a litre?
6250
What is 7262.625 millilitres in litres?
7.262625
What is 7/8 of a week in hours?
147
What is 21.05779 litres in millilitres?
21057.79
What is 5.872331 centuries in months?
7046.7972
What is 5/4 of a litre in millilitres?
1250
Convert 0.7008048ml to litres.
0.0007008048
How many years are there in twenty-five quarters of a millennium?
6250
How many millilitres are there in 345.1814l?
345181.4
What is 12/25 of a millimeter in micrometers?
480
What is 3/25 of a litre in millilitres?
120
How many litres are there in 0.96711 millilitres?
0.00096711
What is 7/2 of a decade in months?
420
Convert 191680.1 weeks to hours.
32202256.8
How many grams are there in 7/4 of a kilogram?
1750
Convert 3428.251nm to meters.
0.000003428251
What is 1683550.8 months in decades?
14029.59
How many millilitres are there in one quarter of a litre?
250
How many milligrams are there in three fifths of a gram?
600
What is 6541.223nm in meters?
0.000006541223
What is five eighths of a litre in millilitres?
625
How many millilitres are there in 5/4 of a litre?
1250
How many millilitres are there in 9.523971l?
9523.971
What is 42231.18nm in centimeters?
0.004223118
How many millilitres are there in seven halves of a litre?
3500
What is 51/2 of a milligram in micrograms?
25500
How many millilitres are there in 13/4 of a litre?
3250
Convert 75.2379 months to centuries.
0.06269825
What is 41.54707mg in grams?
0.04154707
What is 38.73201 milligrams in grams?
0.03873201
Convert 564.3917 millennia to decades.
56439.17
Convert 0.510702ml to litres.
0.000510702
How many litres are there in 785.5561 millilitres?
0.7855561
How many litres are there in 5364.362ml?
5.364362
What is 0.4896811t in milligrams?
489681100
What is 4.10777m in kilometers?
0.00410777
What is 41.99261ng in tonnes?
0.00000000000004199261
How many milliseconds are there in 1.162819 minutes?
69769.14
What is five eighths of a litre in millilitres?
625
What is 15.29265 milliseconds in seconds?
0.01529265
What is 27/5 of a millennium in years?
5400
How many seconds are there in 13/4 of a minute?
195
How many millilitres are there in 963.7118l?
963711.8
What is 7374.363l in millilitres?
7374363
How many nanograms are there in 3/50 of a milligram?
60000
How many hours are there in 2/21 of a week?
16
How many years are there in seventy-three fifths of a century?
1460
What is 1/10 of a tonne in grams?
100000
How many minutes are there in 21472.374 milliseconds?
0.3578729
What is one quarter of a year in months?
3
What is 3/25 of a kilometer in centimeters?
12000
How many meters are there in 57.03368nm?
0.00000005703368
What is seven sixteenths of a minute in milliseconds?
26250
How many seconds are there in seven halves of a minute?
210
How many millilitres are there in 47.08114 lit
|
{
"pile_set_name": "DM Mathematics"
}
|
*l + 4*l, 0 = -5*s + 5. Suppose 8*z + z = l. Is 32 a factor of f(z)?
True
Let w(a) = -a**3 + 29*a**2 + 8*a + 161. Is 13 a factor of w(22)?
False
Let w be 5 - 1*(6 + 328). Let l = -241 - w. Does 4 divide l?
True
Let i = -31 + 41. Suppose y + 3*f = 53, -2*f = 5*y - i*y + 180. Does 2 divide y?
True
Let x = 259 + -257. Does 11 divide (2/x)/((-33)/(-3993))?
True
Let i(n) = 2456*n + 7. Let s be i(1). Suppose 0 = 9*q - s - 1425. Does 17 divide q?
False
Let m = -5 + 58. Let z(p) = -2*p**2 - 28*p - 53. Let a be z(-10). Let k = a + m. Is 14 a factor of k?
False
Suppose 58*b = 64*b - 6252. Let f = -366 + b. Is 52 a factor of f?
True
Let r = 18762 - -38998. Is 80 a factor of r?
True
Let w(b) = -2*b**3 + 2*b**2 + 4*b - 2. Let q be w(4). Let t = 600 - q. Suppose -6*s + 26 = -t. Is s a multiple of 32?
False
Suppose -572*c - 3*p = -569*c - 3123, -1046 = -c + 4*p. Does 14 divide c?
False
Let j(p) = -p**2 - 16*p - 10. Let q be j(-16). Let x(w) = -14*w**2 + 4*w - 8. Let z(y) = y**2. Let t(s) = q*z(s) - x(s). Is 32 a factor of t(-5)?
True
Let z(d) = 4*d**2 - 317*d + 557. Does 13 divide z(92)?
False
Let c = 72 + -68. Suppose 2*k - 4*j = -242, c*k + 4*j - 89 = -633. Let b = k - -229. Is b a multiple of 14?
True
Does 47 divide 26/117 + (-21140)/(-45)?
True
Suppose 162*r - 163*r + a + 153 = 0, r = 4*a + 162. Is r a multiple of 6?
True
Is 28 a factor of 21175/25*(2 + 2)?
True
Suppose -3*b = -b - 8. Let p be (-6)/b - 8/16. Let l(g) = 4*g**2 + 2*g + 1. Is 13 a factor of l(p)?
True
Let j = -61 + 119. Let y = -55 + j. Suppose -5*q = -5*b + 175, b + 73 = 3*b - y*q. Is 8 a factor of b?
True
Let y = -247 + 400. Let s = -41 + y. Is 4 a factor of s?
True
Let n(o) = -5*o - 3. Let y be n(-35). Let p = y - 62. Is p a multiple of 22?
True
Let r be ((-2)/6)/((-3)/297). Suppose -r*k + 348 = -21*k. Is 2 a factor of k?
False
Let h = -855 - 98. Let v = -611 - h. Is v a multiple of 45?
False
Let i(p) = 298*p**3 - 9*p**2 + 2*p - 6. Does 51 divide i(2)?
True
Let n = 101 - 102. Let h be (9/(-2))/(26/32 + n). Is (54/(-8) - 6/h)*-4 a multiple of 7?
True
Suppose 7*f - 5*x - 655 = 2*f, -2*f + 254 = 2*x. Suppose f + 279 = 2*w - 3*n, -5*n + 230 = w. Is w a multiple of 10?
True
Is (-17760)/(-259)*(55 + 1) a multiple of 8?
True
Suppose 26*u + 840 = 32*u. Is (u/21)/(4/3) a multiple of 5?
True
Suppose 27*i - 1599500 = -223*i. Is 7 a factor of i?
True
Suppose f - 4 = 3*g, 80*f = 75*f + 2*g + 59. Suppose -3*v - 5*p + 471 - 31 = 0, 4*v = 2*p + 604. Suppose 7*b - f*b = -v. Does 6 divide b?
False
Suppose 18*j + 1666 = j. Let r = j - -122. Does 12 divide r?
True
Suppose 20*y + 219 = 919. Let s = 355 + y. Is 10 a factor of s?
True
Let b(f) = -64*f + 50*f**2 + 18*f**2 - 10 + 66*f. Does 19 divide b(2)?
True
Suppose -3*h - 4*y = -25, 4*h - 30 = -3*y + 15. Let t(w) = 2*w**3 - 30*w**2 + 20*w + 13. Does 35 divide t(h)?
False
Let r be 57/3*(-4 - -5). Suppose -r = 9*i - 433. Does 3 divide i?
False
Let a(f) be the first derivative of f**3 + 5*f**2 + 11*f - 1. Let l be -5 + 5/(-4 - -9). Does 3 divide a(l)?
False
Let g be (3*(-4)/21)/(12/(-42)). Let k be (3 - 4)*(-10)/g. Suppose -k*d + 290 + 500 = 0. Does 33 divide d?
False
Let h be 14*(1 - (49 + 4/(-2))). Let z = -301 - h. Does 49 divide z?
True
Let y(r) = -r. Let g be y(-12). Suppose -9*z - 105 = -g*z. Suppose 5*q - z - 50 = 0. Is q a multiple of 17?
True
Let p be (-10*15)/((-9)/(-12)). Let n = 115 + p. Let g = n + 117. Is 12 a factor of g?
False
Suppose -2*i + 90 = -8*i. Let c = -12 - i. Suppose 410 = c*u + 2*u. Does 17 divide u?
False
Suppose 2*w = -6*w + 936. Suppose 13*z + o = 9*z + w, -5 = -5*o. Is z a multiple of 3?
False
Let j be -3 + 2/2*5. Let n be (-10)/j*(-2 + 48/30). Does 13 divide -5*(-1868)/60 + n/6?
True
Let n(o) = 3*o - 48. Let t(c) = -3*c + 45. Let l(g) = 6*n(g) + 4*t(g). Is l(37) a multiple of 4?
False
Suppose 2*o - 312 = -3*t, 0*t = -4*o + 3*t + 660. Suppose -4*h + 14 = 5*l - 16, -5*l = h - 15. Suppose l*z - o = -0*z. Is z a multiple of 27?
True
Let a be (6 - -74*138) + -6. Suppose 0 = -74*w + 68*w + a. Is w a multiple of 74?
True
Let t = 1 + -1. Let p be (-15)/(-135) + 132/27. Suppose t*c = -2*c + p*x + 98, -2*c - x = -74. Is c a multiple of 14?
False
Suppose 5*c + 9 - 84 = 0. Let b be (-1557)/c + 2/(-10). Let v = b - -156. Is v a multiple of 13?
True
Suppose -34*p + 2*m + 4536 = -32*p, -m + 6784 = 3*p. Is 4 a factor of p?
False
Let v = -49 - -51. Is 23 a factor of (2492/(-35))/(2/(-20)*v)?
False
Suppose -a = -30 - 43. Let t = 7 + a. Is t a multiple of 16?
True
Let k = 9 + 7. Let g(n) = 10*n**3 - 4*n**2 + 3*n - 2. Let o be g(2). Let q = o - k. Is 13 a factor of q?
True
Let j(d) be the third derivative of 3*d**5/20 - d**4/2 - 23*d**3/6 + 5*d**2 - 1. Is 6 a factor of j(4)?
False
Let w(s) = -s**3 - 3*s**2 + 16*s + 115. Does 6 divide w(-6)?
False
Suppose 3*g + f - 27785 = 0, 4*g - 46275 = -g + 5*f. Is g a multiple of 10?
True
Suppose 2*g = -5*y + 465, 3*g - 2*y = -6*y + 687. Let n be 4/(-8) + (-2)/(-4). Suppose -4*b + n*b - 5*p + 927 = 0, -g = -b + p. Is 38 a factor of b?
True
Let l be 1375/22*(-96)/(-20). Suppose 11*d - 9*d = 5*o + l, 300 = 2*d + 5*o. Does 26 divide d?
False
Let q(h) = -h**3 + h**2 + 9*h - 35. Let z be q(-9). Let n be -5*3*1/(-5). Suppose 4*l - 336 = -2*x, n*l + z = 2*x + 2*x. Is x a multiple of 19?
False
Let i be (-1)/5 + 140/(-50). Let k = -336 + 563. Does 15 divide (-42)/63 - 1/(i/k)?
True
Suppose 3*a + 0 + 6 = 0, 0 = -4*n - 2*a - 4. Suppose 3*h + 3*h + 5742 = n. Is ((28/(-6))/2)/(29/h) a multiple of 14?
False
Let z = 8003 + -2082. Is z a multiple of 31?
True
Let v(h) = -2*h + 25. Let b be v(13). Let f be (1 + 4 + -2)*(-2)/b. Suppose 0 = -4*d + f*d - 126. Is 7 a factor of d?
True
Let i(j) = -j**3 - 8*j**2 - 8*j - 3. Let f be i(-7). Suppose 4*a - 2*y = 608, -760 = a - 6*a + f*y. Does 38 divide -3*a*(-1)/(9/3)?
True
Suppose 0 = -5*b + 5*s + 147 + 118, 5*b - 245 = s. Suppose 2*q - b - 120 = 0. Is 10 a factor of q?
False
Let q be (-5)/((125/110)/(-5))*35. Suppose 0 = 9*r + 5*r - q. Is r a multiple of 11?
True
Let n(j) = -704*j + 14680. Is 39 a factor of n(0)?
False
Let n(u) = u**2 - u + 10. Let f = -94 - -84. Let k(l) = -l**2 - 9*l + 13. Let x be k(f). Is n(x) a multiple of 8?
True
Let u = -425 - -664. Let r = u + -167. Suppose 3*i = 2*i - d + 26, 3*i - r = -5*d. Is 29 a factor of i?
True
Let x be (-56)/(-16)*(89 + -3). Let d = x + -87. Is d a multiple of 31?
False
Let l be 1/(-4) + (90/8 - 3). Let g be (l/12)/(2/414). Let i = g - 92. Is i a multiple of 19?
False
Is 48 a factor of ((-198804)/(-30))/(2*((-110)/(-50) - 2))?
False
Suppose 0 = k - 2*i - 119, k + i = -3*i + 149. Suppose -4*w - 4*j + 244 = 0, -3*j + 444 = 5*w + k. Is 33 a factor of w?
True
Let t = -2838 - -3049. Is 28 a factor of t?
False
Let x(q) = 142*q**2 + 75*q + 958. Is x(-10) a multiple of 23?
False
Let j be (4/5)/((-2)/25*-1). Let a(q) = q**3 - 12*q**2 + 25*q - 27. Is a(j) a multiple of 15?
False
Let n be (-78)/(-7) + 86/(-602). Suppose -2898 = -2*x - 5*z, n - 21 = 5*z. Is x a multiple of 38?
False
Let a(h) = 241*h - 1200. Is a(15) a multiple of 3?
True
Suppose 5*n = -28 + 13. Let r(w) = -88*w + 6. Let x be r(n). Suppose 3*a + x = 5*a. Is a a multiple of 15?
True
Suppose 0 = -3*w + 5*i - 1, -3*i - 1 = -3*w + i. Suppose 3 = q - 0*o + w*o, 3*q - 9 = 3*o. Suppose 0 = p + 2*p - 3*k - 87, -3*p + 81 = q*k. Does 7 divide p?
True
Suppose h - 1392 = 4*o, 0*o - o - 6884 = -5*h. Does 8 divide h?
True
Let t be (-19278)/(-20) + 6/60. Suppose -j + 472 = -2*z, -2*j - 6*z = -5*z - t. Is j a multiple of 30?
True
Suppose -11*j - 537 - 1113 = 0. Let n = j + 153. Does 3 divide n?
True
Let m = 28732 - 6520. Is 9 a factor of m?
True
Suppose 0 = 4*l - 3*l. Let b(j) = -18*j**3 - 7*j**2 - 21*j - 1153. Let q(k) = -7*k**3 - 3*k**2 - 8*k - 461. Let i(t) = 5*b(t) - 13*q(t). Does 38 divide i(l)?
True
Suppose -k - 5*p = -14735, 5*k - 80688 + 6901 = 3*p. Does 13 divide k?
True
Suppose 5*q + 7029 = 4*z, z + 4*z = -5*q + 8775. Suppose -21*p = z - 5284. Is 8 a factor of p?
True
Let d(x) = 39*x**3 - 3*x**2 - x - 1. Let t be d(-1). Let c be (-3 - -1)/(t/189). Suppose -c*f + 2094 - 330 = 0. Is f a multiple of 28?
True
Let g(a) = -10*a**2 + 3*a - 6. Let l be g(-3). Let j = 244 + l. Is j a multiple of 5?
False
Suppose 4*a - a - 4*k = 22, 0 = -a - 2*k + 4. Suppose -5*p - 80 = s, -4*p + p - a = 0. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ters picked without replacement from {p: 1, k: 2, h: 4, l: 2, a: 2, r: 1}. What is prob of sequence la?
1/33
Calculate prob of sequence gg when two letters picked without replacement from qqqggq.
1/15
Calculate prob of sequence zzg when three letters picked without replacement from {p: 1, g: 2, a: 1, w: 1, z: 4}.
1/21
Two letters picked without replacement from qssqnqqqb. Give prob of sequence nb.
1/72
Calculate prob of sequence xf when two letters picked without replacement from afafxfafaafaxaff.
7/120
Two letters picked without replacement from {i: 4, j: 4, h: 6}. What is prob of sequence ji?
8/91
Calculate prob of sequence kkk when three letters picked without replacement from {k: 4, c: 16}.
1/285
Calculate prob of sequence me when two letters picked without replacement from {l: 1, s: 1, m: 1, e: 1, o: 1}.
1/20
Four letters picked without replacement from kvdvkd. What is prob of sequence kvvk?
1/90
What is prob of sequence ksd when three letters picked without replacement from {k: 11, s: 4, d: 4}?
88/2907
Three letters picked without replacement from zibiszbs. What is prob of sequence zii?
1/84
What is prob of sequence po when two letters picked without replacement from oeoppeee?
1/14
Two letters picked without replacement from {w: 6}. What is prob of sequence ww?
1
Calculate prob of sequence vqhv when four letters picked without replacement from {q: 1, h: 4, t: 1, v: 3, b: 5, r: 1}.
1/1365
Calculate prob of sequence jhhh when four letters picked without replacement from {j: 5, h: 11, t: 1}.
165/1904
Calculate prob of sequence orr when three letters picked without replacement from grero.
1/30
What is prob of sequence ooh when three letters picked without replacement from omsshsdodhdxo?
1/143
What is prob of sequence nqxq when four letters picked without replacement from {q: 3, n: 2, x: 2, s: 6, l: 2}?
1/1365
What is prob of sequence wo when two letters picked without replacement from {m: 2, q: 1, s: 4, w: 3, o: 1}?
3/110
Calculate prob of sequence qwh when three letters picked without replacement from {y: 1, h: 4, u: 1, q: 3, w: 2}.
4/165
Two letters picked without replacement from griir. Give prob of sequence ig.
1/10
Four letters picked without replacement from gcgggrc. What is prob of sequence cgcr?
1/105
What is prob of sequence wj when two letters picked without replacement from jjjjwwjwjwjwjwjjwjj?
14/57
Two letters picked without replacement from isqsisqqisiqivq. Give prob of sequence ii.
2/21
Four letters picked without replacement from {n: 6, h: 12}. Give prob of sequence hhhn.
11/102
What is prob of sequence bv when two letters picked without replacement from bfthxbfvxxf?
1/55
What is prob of sequence mmm when three letters picked without replacement from {m: 5}?
1
Three letters picked without replacement from wwhdhidduddudiih. What is prob of sequence hhd?
3/280
Two letters picked without replacement from {l: 5, k: 5}. What is prob of sequence kk?
2/9
Three letters picked without replacement from ifeifixfiggifx. What is prob of sequence ggf?
1/273
Calculate prob of sequence iwa when three letters picked without replacement from {l: 1, w: 1, n: 1, a: 2, i: 1, k: 1}.
1/105
What is prob of sequence fc when two letters picked without replacement from {p: 4, c: 4, l: 1, f: 1, u: 2, b: 6}?
2/153
Four letters picked without replacement from yypyyyyyyypyyyyyyy. What is prob of sequence yyyy?
91/153
Two letters picked without replacement from {m: 1, o: 1, x: 3, s: 6, q: 5, z: 1}. What is prob of sequence zx?
3/272
Two letters picked without replacement from pxpp. What is prob of sequence xp?
1/4
Three letters picked without replacement from {g: 7, w: 3, q: 4, j: 4}. Give prob of sequence qjj.
1/102
What is prob of sequence dn when two letters picked without replacement from {t: 1, d: 3, n: 2, x: 1, m: 6}?
1/26
Calculate prob of sequence ybb when three letters picked without replacement from yyybbyybyybbbbyybyyb.
11/95
Three letters picked without replacement from kpiipirraiipiip. Give prob of sequence rip.
4/195
What is prob of sequence jqji when four letters picked without replacement from {r: 1, z: 1, i: 1, j: 1, u: 1, q: 2}?
0
Three letters picked without replacement from mvhvvnvy. What is prob of sequence hvm?
1/84
Calculate prob of sequence qy when two letters picked without replacement from {q: 1, a: 5, t: 2, l: 3, y: 1, c: 1}.
1/156
Calculate prob of sequence cz when two letters picked without replacement from {z: 1, c: 2}.
1/3
Four letters picked without replacement from {v: 2, w: 4, g: 1, r: 1, h: 1}. What is prob of sequence vvgw?
1/378
What is prob of sequence cs when two letters picked without replacement from scccxxpc?
1/14
Two letters picked without replacement from wywwqqiwwwiwyiwi. What is prob of sequence ii?
1/20
What is prob of sequence rrr when three letters picked without replacement from rrrrr?
1
Four letters picked without replacement from kkbkbbkbkbbbb. Give prob of sequence bkkk.
4/143
Calculate prob of sequence ootz when four letters picked without replacement from zibfoooffofotfibo.
1/1904
Four letters picked without replacement from {b: 1, m: 5, d: 1, y: 1, x: 1}. What is prob of sequence mxmm?
5/252
Four letters picked without replacement from {p: 6, k: 1, u: 3, m: 4}. What is prob of sequence mukm?
3/2002
Calculate prob of sequence kxx when three letters picked without replacement from xxkkkk.
1/15
Two letters picked without replacement from qbbpoboosooobqqbk. Give prob of sequence pk.
1/272
Calculate prob of sequence gl when two letters picked without replacement from {o: 2, l: 3, g: 3}.
9/56
Two letters picked without replacement from pptbgbtbpwptywbybb. Give prob of sequence tg.
1/102
Four letters picked without replacement from {k: 5, q: 1, a: 3}. Give prob of sequence aaaq.
1/504
What is prob of sequence ttg when three letters picked without replacement from gitnt?
1/30
Calculate prob of sequence ae when two letters picked without replacement from {a: 2, i: 1, e: 1, f: 2}.
1/15
Three letters picked without replacement from yylky. Give prob of sequence yyk.
1/10
Calculate prob of sequence gwnx when four letters picked without replacement from {l: 4, w: 1, n: 1, g: 3, i: 5, x: 3}.
3/19040
What is prob of sequence hpfh when four letters picked without replacement from ufppbupubpufhpurhhpp?
7/9690
Three letters picked without replacement from bebe. Give prob of sequence beb.
1/6
Three letters picked without replacement from {w: 4, y: 1, f: 6, m: 1, a: 1, e: 3}. Give prob of sequence fwf.
1/28
Two letters picked without replacement from eeuuuueoescouuco. What is prob of sequence co?
1/40
Three letters picked without replacement from fsffrmmrfsfsfffm. What is prob of sequence rmr?
1/560
Four letters picked without replacement from {w: 2, j: 3, e: 5, a: 5}. Give prob of sequence ejjj.
1/1092
Two letters picked without replacement from klfdkduldddllddlllk. Give prob of sequence fd.
7/342
Four letters picked without replacement from {h: 12, e: 7}. What is prob of sequence hheh?
385/3876
Three letters picked without replacement from {f: 5, z: 2}. Give prob of sequence zzf.
1/21
Calculate prob of sequence hh when two letters picked without replacement from {r: 1, h: 3}.
1/2
What is prob of sequence go when two letters picked without replacement from {o: 4, g: 2, s: 4}?
4/45
Calculate prob of sequence oj when two letters picked without replacement from {d: 1, q: 2, o: 1, k: 1, j: 1, g: 2}.
1/56
Two letters picked without replacement from ffiixekfekfkkz. What is prob of sequence xf?
2/91
Three letters picked without replacement from nnaannwenen. What is prob of sequence nwa?
2/165
Three letters picked without replacement from {u: 5, m: 3, o: 3}. What is prob of sequence umm?
1/33
Calculate prob of sequence oip when three letters picked without replacement from {c: 1, y: 1, i: 2, o: 2, p: 1}.
2/105
What is prob of sequence nng when three letters picked without replacement from ngnnnnnn?
1/8
What is prob of sequence nnr when three letters picked without replacement from {n: 5, y: 3, o: 5, c: 1, r: 6}?
1/57
Calculate prob of sequence faek when four letters picked without replacement from {a: 6, f: 4, z: 4, k: 5, e: 1}.
1/969
Two letters picked without replacement from {b: 7, i: 3, m: 4}. Give prob of sequence ib.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Express b**2 - 115*b + 0*b**2 + 7*b as v*b + g*b**2 + u and give v.
-108
Express c**2 + 0 - c + c**3 - 4 + 1 + 2*c**3 - c + c + (-c + c - c)*(0*c**2 - 2*c**2 + c**2) + 12 - 12 + 10*c**3 as o*c**3 + q*c**2 + w + k*c and give q.
1
Express (64*k**3 - 868*k**2 + 868*k**2)*(k - 3*k + 4*k)*(-4 + 1 - 2) as c*k + f*k**4 + z*k**2 + l + a*k**3 and give f.
-640
Express (-2*a + 3*a + 2*a)*(-28*a - 27 + 27) in the form b*a**2 + j + v*a and give b.
-84
Express 0*l - 95*l**2 + 100*l**2 + 2*l**4 + l + 0*l in the form u*l**2 + i*l + r*l**3 + n*l**4 + x and give n.
2
Express 68 + 2*s + 131 + 90 + 10 as g + q*s and give g.
299
Rearrange -430*m**2 + 451*m**2 - 1 - 2 to the form c + v*m**2 + u*m and give c.
-3
Rearrange (2 + 3 + 0)*(80 - 33*i - 80)*(-1 + 1 + i**2) to j + l*i**2 + m*i**3 + z*i and give j.
0
Rearrange -1548*f**2 + 362*f**2 - 1248*f**2 - 281*f**2 to l*f**2 + n*f + t and give l.
-2715
Rearrange 3*r + 3 + 473*r**4 + r**3 - 471*r**4 - 1 to t + s*r**2 + c*r**3 + z*r**4 + k*r and give k.
3
Rearrange -40 - 11 - 3*d + 163 - 3*d + 12 to y + j*d and give j.
-6
Rearrange -7*s**3 + 24*s**2 - 35*s**2 - 73*s**2 + 1 to x*s**2 + w + y*s + j*s**3 and give j.
-7
Express (-2*m - 3 + 3)*(2*m - m + m) + (-4629 + 4629 + 8*m)*(6*m - 5 + 5) in the form f*m**2 + z + l*m and give f.
44
Express -101*m + 315*m + 82*m + 384*m in the form a + l*m and give l.
680
Express -2763*o - 225*o**2 - 347*o**2 + 1385*o + 1378*o as w*o**2 + x + c*o and give w.
-572
Express -45 + 12 + 14 + 17 - 103*n**2 in the form o*n + p*n**2 + y and give y.
-2
Express -83*j + 348*j - 728*j in the form d + i*j and give i.
-463
Express 2*m**4 + 3*m**2 + 423*m - 3*m**3 - 850*m + 425*m in the form h*m**3 + a + l*m**2 + k*m**4 + d*m and give l.
3
Express (-2 + 3 + 1 + (-2 + 2 + 1)*(2 + 1 - 2) - 4 + 6 + 0 - 42 - 38 - 20)*(5*y - 2*y - y) + (3 - 6 + 1)*(-y - 1 + 1) in the form c + x*y and give x.
-188
Express -r + 260*r**2 - r**3 + 9*r**4 - 524*r**2 + 264*r**2 + 1 in the form x*r**3 + k*r**2 + t*r**4 + j + w*r and give t.
9
Express -2*n - n**2 + 2*n + (0 + 0 - 2*n**2)*(0 - 2 + 3) - 374*n**2 - 646427*n - 2 + 646427*n as u*n + v + r*n**2 and give v.
-2
Express -145*t + 280*t + 207 - 132*t + (0*t - 4*t + 2*t)*(-1 + 0 - 1) in the form c*t + n and give n.
207
Rearrange -j**4 - j**3 + 0*j**4 - 2*j**4 - 15*j**2 + 13*j**2 + 73*j**2 to x*j + z*j**4 + t + m*j**3 + d*j**2 and give z.
-3
Rearrange 13*o + 27 - 8 - 9*o**3 + 2*o**2 - 19 to the form x*o + j + g*o**2 + c*o**3 and give x.
13
Rearrange -3*b + 1748 + 2*b - 876 + 11*b**3 - 871 to j*b**3 + l + i*b + h*b**2 and give h.
0
Express 7 + 2*k**2 + 1 + 9 - 6 + 3*k as w*k + l*k**2 + x and give x.
11
Express (29 + 21 + 17)*(-3*v - v + 8*v)*(-v - v + v) in the form s*v + r*v**2 + x and give s.
0
Rearrange -9*i - 18*i + 5*i + (3*i + i - 5*i + (2 + 2 - 1)*(2*i - i - 2*i) + 1 + 2*i - 1)*(-4 - 1 + 4) to the form d*i + w and give d.
-20
Express (0*f**2 - 2*f**2 + 3*f**2 + (-f + 3*f - f)*(0 + 0 + 2*f))*(f - 4*f + 5*f)*(-102 + 16*f + 102) in the form n*f + v*f**4 + q*f**3 + r*f**2 + b and give v.
96
Rearrange 31 - 12 + 43*j**3 + 40*j**3 - 16 to k + c*j**3 + s*j**2 + n*j and give c.
83
Express -18*w**3 - 22*w**3 - 4*w**2 - 12*w**3 + 50*w**3 + w**4 + 3*w as s*w**4 + z*w + q + m*w**2 + l*w**3 and give s.
1
Express (-5*g + 3*g + g)*(-23*g + 20*g + 19*g)*(-5*g - 7*g - 7*g) in the form u + w*g + t*g**2 + r*g**3 and give r.
304
Express (-3*x + x + x)*(44 - 70 - 10) as r + w*x and give w.
36
Rearrange 29 + 1431*s - 1437*s - 119*s**2 - 29 to d + q*s**2 + u*s and give u.
-6
Rearrange -2*n**4 - 2*n**3 + 2*n**3 + (-4*n**2 + n**2 + 5*n**2)*(70*n - 72 + 72)*(n + 0*n + 3*n) to r + t*n**4 + o*n + i*n**3 + c*n**2 and give t.
558
Rearrange -57*x**2 + 92*x + 100*x - 2*x**4 + 1 + 2*x**3 - 192*x to m*x**3 + u*x**2 + g*x**4 + s*x + f and give f.
1
Express -763 - 11*p + 9*p + 890 + (1 - 4 + 1)*(3*p - 3*p + 2*p) in the form b*p + d and give b.
-6
Express (-18 - 6 + 7)*(2*z - 3*z + 2*z)*(2 + 1 - 7) as k*z + f and give k.
68
Rearrange -808*l - 1339*l - 1443*l + 1106*l to o + s*l and give s.
-2484
Express (560*d + 5 - 3 - 798*d)*(4*d**2 - 2*d**2 - 3*d**2) as w*d**3 + f*d + c*d**2 + l and give w.
238
Rearrange 1391*p**4 + 5*p**2 - 24*p**3 + 3*p - 4*p**2 - 1390*p**4 to g*p + d*p**4 + f*p**2 + c + b*p**3 and give d.
1
Express 366*o**2 - 552*o**2 - 438*o**2 - 144 + 144 as j*o + z*o**2 + q and give z.
-624
Express 9*o + 337*o**2 + 40 - 37 - 339*o**2 as j*o + b*o**2 + w and give w.
3
Rearrange -4*v**3 - 7*v**3 + 108*v**2 - v**3 + 15*v**3 + 2*v to f*v + g + w*v**2 + q*v**3 and give f.
2
Rearrange (-4*w**2 - 5 + 5)*(-124 + 94 + 292) to v + b*w + m*w**2 and give m.
-1048
Express (0*i + 0*i - 4*i**2)*(-2*i**2 + 0*i**2 + i**2) + (-2*i**3 - 4*i**3 + i**3)*(-1 + 1 - 2*i) as v + z*i**3 + d*i**4 + l*i + n*i**2 and give d.
14
Express -76 - 201 - t**2 + 137 as q*t + o + k*t**2 and give k.
-1
Rearrange -1 + 2*n**4 + 1 + (0 + 0 + n**2)*(-20699*n + 86*n**2 + 20699*n) to the form y + w*n**4 + l*n**3 + d*n**2 + v*n and give w.
88
Rearrange -1 + 1 + 23*a + (0*a + 5*a - 2*a)*(0 + 3 - 1) + 3*a - 2*a + 0*a + (2 - 2 + a)*(5 - 2 - 1) to s*a + c and give s.
32
Express (g + g + 0*g)*(49*g - 538 + 538) + 1 - g**2 - 1 - g**2 + 6*g**2 + 2*g**2 as d*g**2 + u*g + k and give d.
104
Express 16 + 0 - 27*w - 23*w + 30*w - 9*w in the form d + f*w and give d.
16
Rearrange 10*y**3 - 5*y**3 + 4*y**3 + (-7 + 4*y + 7)*(-4 - 2*y**2 + 4) - 2*y**3 + 2 - 2 - 5*y**3 + 13 - 13 to the form t + u*y + w*y**2 + k*y**3 and give k.
-6
Rearrange -236*v**4 + 237*v**4 + 0*v - v - 2 + 3*v**3 - 7*v**2 to the form m*v**4 + p + y*v + f*v**3 + r*v**2 and give r.
-7
Express 15*p**2 + 78*p**2 + 25*p**2 + 143*p**2 in the form s + h*p + a*p**2 and give a.
261
Express (3 - 6 + 1 + (-3 - 3 + 1)*(0 + 2 + 1))*(258 + 16*s - 258) as f + l*s and give l.
-272
Express z**2 - 4*z**2 + 0*z**2 + (0 - 2*z + 0)*(-3*z + z + 4*z) + (124*z + 64*z + 67*z)*(0*z - 2*z + 4*z) as t + d*z**2 + x*z and give x.
0
Express -9 + 8 + 3*o**4 + 2*o**3 - 4*o - o**2 - 2*o**3 + 7*o**3 as k + w*o**2 + g*o + q*o**3 + h*o**4 and give g.
-4
Rearrange (-3*c**3 + 6*c - 6*c)*((-c - c + 5*c)*(0 - 3 + 1) + 10 + 8*c - 10) to the form o*c + y + f*c**2 + m*c**3 + b*c**4 and give b.
-6
Express (-3*o + 4*o - 2*o + 2*o + o - 4*o + (0*o - 4*o + 3*o)*(3 + 1 - 3))*(-25 + 82 - 43)*(4 + 1 + 1) in the form z + w*o and give w.
-252
Express (-102 - 86 - 28)*(8*l**3 - 5*l**3 - 6*l**3) in the form t + p*l + a*l**2 + s*l**3 and give t.
0
Rearrange -15 - 11*y**3 + y**2 + 22*y**3 - 10*y**3 to g*y**2 + z*y + v + k*y**3 and give v.
-15
Rearrange -7*u - 9*u**3 - 9*u**4 - 36*u + 9*u**3 - u**2 + 11*u**4 - 2 to f + c*u**3 + x*u**2 + g*u**4 + s*u and give s.
-43
Express (r - r - r)*(3 - 3 + 7*r**2)*(-3*r - r + 2*r) + r**4 - 465 + 465 + 8*r**3 as t*r**4 + k*r + w*r**2 + j + o*r**3 and give o.
8
Rearrange 3*q**2 - 9 - 5*q + 30 + 21*q**3 - 23*q**3 - 3*q**2 to the form p + f*q + h*q**3 + n*q**2 and give p.
21
Express -140*u - 38 + 67 - 29 as k + q*u and give q.
-140
Express (-1 - 2 + 1)*(-2*i + i - i) + (0 - 17 - 29*i + 19)*(-1 - 2 + 0) - 2*i + 0*i + 0*i + (1 - 2*i - 1)*(2 + 1 - 1) + 2 - i - 2 as k*i + x and give k.
84
Rearrange 48*f**3 - 721 - 5*f**2 + 720 - 3*f + 4*f**2 - 19*f**3 to the form g*f**2 + h + n*f + j*f**3 and give j.
29
Rearrange -97*d - 90*d + 35 - 26 to m + l*d and give l.
-187
Express (5*p**2 - 7*p**2 + 6*p**2)*(-12*p**2 - 7*p**2 + 4*p**2)*(0 + 1 - 2) in the form v*p**2 + z*p**3 + u*p**4 + a*p + x and give u.
60
Rearrange -14 - 9*k + 17 - 56*k to d + b*k and give d.
3
Rearrange -2 + 21*h**2 + 5*h - 6 - 2*h**4 + 8 - 20*h**2 + 3*h**3 to the form k + x*h + n*h**3 + m*h**4 + f*h**2 and give x.
5
Rearrange 72*u + 21*u - 50*u + 204*u to the form a*u + z and give a.
247
Rearrange 4*w + w + 6 - 3*w + (9*w - 3*w + 4*w)*(2 + 1 - 4) to the form f + u*w and give f.
6
Rearrange (-103*j**3 - 77*j**3 - 456*j**3)*(3*j + 1 + 1 - 5*j) to t*j**2 + r*j**4 + p*j + x + y*j**3 and give r.
1272
Express -d**2 - 3*d**4 - 285*d + 130*d + 144*d + 3*d**3 as c*d + o*d**3 + q*d**4 + v + w*d**2 and give c.
-11
Express -2*s - 225*s + 7*s + 0*s as t*s + y and give t.
-220
Express -7 - y + 2 + 3 - 68*y**2 + 67*y**2 in the form t*y**2 + j + f*y and give t.
-1
Rearrange 160*p + 7 + 157*p + 3 + 157*p - 461*p to the form h*p + g and give h.
13
Rearrange (-22 + 5 -
|
{
"pile_set_name": "DM Mathematics"
}
|
est integer?
2
What is the third root of 138993 to the nearest integer?
52
What is 36131 to the power of 1/9, to the nearest integer?
3
What is 13067 to the power of 1/2, to the nearest integer?
114
What is the sixth root of 157478 to the nearest integer?
7
What is 11812 to the power of 1/5, to the nearest integer?
7
What is 341 to the power of 1/2, to the nearest integer?
18
What is the square root of 1772 to the nearest integer?
42
What is the third root of 140356 to the nearest integer?
52
What is the square root of 112460 to the nearest integer?
335
What is the square root of 12683 to the nearest integer?
113
What is the third root of 133 to the nearest integer?
5
What is 2644 to the power of 1/3, to the nearest integer?
14
What is the fifth root of 256 to the nearest integer?
3
What is 7109 to the power of 1/3, to the nearest integer?
19
What is 2405 to the power of 1/10, to the nearest integer?
2
What is the third root of 485 to the nearest integer?
8
What is the third root of 2990 to the nearest integer?
14
What is 172717 to the power of 1/5, to the nearest integer?
11
What is 1397 to the power of 1/8, to the nearest integer?
2
What is the square root of 5830 to the nearest integer?
76
What is 631 to the power of 1/3, to the nearest integer?
9
What is 19900 to the power of 1/2, to the nearest integer?
141
What is the square root of 984 to the nearest integer?
31
What is the third root of 6742 to the nearest integer?
19
What is the third root of 144 to the nearest integer?
5
What is 828 to the power of 1/4, to the nearest integer?
5
What is 34375 to the power of 1/8, to the nearest integer?
4
What is 24119 to the power of 1/10, to the nearest integer?
3
What is the sixth root of 250 to the nearest integer?
3
What is the seventh root of 607 to the nearest integer?
2
What is 8573 to the power of 1/2, to the nearest integer?
93
What is 9535 to the power of 1/2, to the nearest integer?
98
What is the cube root of 474 to the nearest integer?
8
What is 3395 to the power of 1/3, to the nearest integer?
15
What is the square root of 10082 to the nearest integer?
100
What is the square root of 1706 to the nearest integer?
41
What is the eighth root of 8718 to the nearest integer?
3
What is 385 to the power of 1/3, to the nearest integer?
7
What is 56212 to the power of 1/9, to the nearest integer?
3
What is 277 to the power of 1/3, to the nearest integer?
7
What is the square root of 17212 to the nearest integer?
131
What is 4605 to the power of 1/3, to the nearest integer?
17
What is the third root of 17622 to the nearest integer?
26
What is the third root of 5966 to the nearest integer?
18
What is the third root of 3543 to the nearest integer?
15
What is the tenth root of 13613 to the nearest integer?
3
What is 507 to the power of 1/2, to the nearest integer?
23
What is 17255 to the power of 1/10, to the nearest integer?
3
What is the third root of 19050 to the nearest integer?
27
What is the square root of 952 to the nearest integer?
31
What is the square root of 9830 to the nearest integer?
99
What is the cube root of 2704 to the nearest integer?
14
What is 47629 to the power of 1/3, to the nearest integer?
36
What is 205 to the power of 1/7, to the nearest integer?
2
What is 10515 to the power of 1/8, to the nearest integer?
3
What is 6548 to the power of 1/2, to the nearest integer?
81
What is the square root of 51585 to the nearest integer?
227
What is 55180 to the power of 1/3, to the nearest integer?
38
What is 66494 to the power of 1/2, to the nearest integer?
258
What is the cube root of 1893 to the nearest integer?
12
What is 1251 to the power of 1/2, to the nearest integer?
35
What is the square root of 147 to the nearest integer?
12
What is the fourth root of 103213 to the nearest integer?
18
What is 1184 to the power of 1/10, to the nearest integer?
2
What is the square root of 52091 to the nearest integer?
228
What is the third root of 1546 to the nearest integer?
12
What is the square root of 21519 to the nearest integer?
147
What is the third root of 5229 to the nearest integer?
17
What is the square root of 21981 to the nearest integer?
148
What is the third root of 2719 to the nearest integer?
14
What is 26993 to the power of 1/2, to the nearest integer?
164
What is the cube root of 6511 to the nearest integer?
19
What is 17616 to the power of 1/2, to the nearest integer?
133
What is 2688 to the power of 1/3, to the nearest integer?
14
What is the square root of 2033 to the nearest integer?
45
What is the square root of 941 to the nearest integer?
31
What is the cube root of 51761 to the nearest integer?
37
What is 3698 to the power of 1/10, to the nearest integer?
2
What is 1684 to the power of 1/9, to the nearest integer?
2
What is 573 to the power of 1/10, to the nearest integer?
2
What is 1882 to the power of 1/8, to the nearest integer?
3
What is the cube root of 3329 to the nearest integer?
15
What is the square root of 2775 to the nearest integer?
53
What is the third root of 3923 to the nearest integer?
16
What is the square root of 15192 to the nearest integer?
123
What is 70532 to the power of 1/2, to the nearest integer?
266
What is 31991 to the power of 1/3, to the nearest integer?
32
What is the sixth root of 5042 to the nearest integer?
4
What is the third root of 203 to the nearest integer?
6
What is 20694 to the power of 1/3, to the nearest integer?
27
What is the fifth root of 2840 to the nearest integer?
5
What is 4876 to the power of 1/5, to the nearest integer?
5
What is the cube root of 13935 to the nearest integer?
24
What is the tenth root of 25893 to the nearest integer?
3
What is 18300 to the power of 1/2, to the nearest integer?
135
What is the cube root of 8567 to the nearest integer?
20
What is 83643 to the power of 1/2, to the nearest integer?
289
What is the square root of 1173 to the nearest integer?
34
What is 4099 to the power of 1/6, to the nearest integer?
4
What is 4371 to the power of 1/8, to the nearest integer?
3
What is the third root of 1475 to the nearest integer?
11
What is 1472 to the power of 1/2, to the nearest integer?
38
What is 377 to the power of 1/9, to the nearest integer?
2
What is the square root of 6403 to the nearest integer?
80
What is the cube root of 5056 to the nearest integer?
17
What is the square root of 4281 to the nearest integer?
65
What is the eighth root of 3846 to the nearest integer?
3
What is the third root of 928 to the nearest integer?
10
What is 36811 to the power of 1/10, to the nearest integer?
3
What is 11390 to the power of 1/3, to the nearest integer?
22
What is 8626 to the power of 1/7, to the nearest integer?
4
What is the cube root of 8855 to the nearest integer?
21
What is the square root of 10599 to the nearest integer?
103
What is 1167 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 1306 to the nearest integer?
2
What is the cube root of 20175 to the nearest integer?
27
What is 1984 to the power of 1/3, to the nearest integer?
13
What is 41250 to the power of 1/6, to the nearest integer?
6
What is the cube root of 68507 to the nearest integer?
41
What is the seventh root of 448 to the nearest integer?
2
What is the square root of 1429 to the nearest integer?
38
What is 7378 to the power of 1/3, to the nearest integer?
19
What is the tenth root of 9170 to the nearest integer?
2
What is 39454 to the power of 1/7, to the nearest integer?
5
What is 5315 to the power of 1/4, to the nearest integer?
9
What is 5559 to the power of 1/2, to the nearest integer?
75
What is 499 to the power of 1/2, to the nearest integer?
22
What is the third root of 9390 to the nearest integer?
21
What is the ninth root of 15994 to the nearest integer?
3
What is the fifth root of 218 to the nearest integer?
3
What is 13991 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 11353 to the nearest integer?
3
What is 74181 to the power of 1/5, to the nearest integer?
9
What is the fifth root of 12188 to the nearest integer?
7
What is the square root of 39725 to the nearest integer?
199
What is 20508 to the power of 1/9, to the nearest integer?
3
What is the square root of 1316 to the nearest integer?
36
What is 80 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
h**4 - 8 - 83*h**3 + 162*h**3 - 83*h**3 = 0.
-2, 1, 4
Let x be (106/4)/((-25)/10 - -6) - 7. Let 0 + x*h**4 + 4/7*h**3 - 16/7*h - 16/7*h**2 = 0. What is h?
-2, -1, 0, 2
Determine w, given that 0 + 22*w**3 - 36*w - 2*w**5 + 42*w**2 - 14/3*w**4 = 0.
-3, 0, 2/3, 3
Let a(h) be the third derivative of h**5/12 + 25*h**4/24 + 10*h**3/3 - h**2 + 18*h. Factor a(o).
5*(o + 1)*(o + 4)
Suppose 0 = -4*s + 3*r - 4, -4*s - 8 = -3*s + r. Let t be (s - 0) + 14 + -5. Determine b, given that 5*b + 16*b + 8*b + 3*b**2 + 48 - t*b = 0.
-4
Let q(p) be the third derivative of -p**8/3528 + 2*p**7/735 - p**6/210 - 8*p**5/315 + 5*p**4/84 + 2*p**3/7 + p**2 - p. What is x in q(x) = 0?
-1, 2, 3
Let r = 151673/19 + -7981. Determine i, given that -66/19*i**5 + 34/19*i**4 + 0 + 62/19*i**3 + 4/19*i - r*i**2 = 0.
-1, 0, 2/11, 1/3, 1
Let t = -23 + 18. Let i be (t/15 - -5) + -3. Factor -1/3*v - 4/3*v**3 + i*v**2 + 0.
-v*(v - 1)*(4*v - 1)/3
Let m(c) be the third derivative of 0 + 0*c + 10/3*c**3 - 16*c**2 + 0*c**4 - 1/12*c**5. Solve m(w) = 0 for w.
-2, 2
Suppose -326 + 326 = -13*u. Let w(y) be the third derivative of 1/21*y**4 - 8*y**2 + 0*y + 0 + 1/420*y**6 - 2/105*y**5 + u*y**3. Factor w(l).
2*l*(l - 2)**2/7
Solve 4/9*u**2 - 6*u - 28/9 = 0.
-1/2, 14
Let y(m) be the second derivative of m**6/75 - 82*m**5/25 + 3362*m**4/15 - 4*m - 5. Factor y(t).
2*t**2*(t - 82)**2/5
Let a = -35 + 37. Let m(h) be the second derivative of -1/4*h**4 + 7/20*h**5 + 0 + h**a - 1/2*h**3 + 5*h - 1/10*h**6. Factor m(x).
-(x - 1)**3*(3*x + 2)
Suppose -2*r = 16*r + 25*r + 7*r. Factor r + 0*m - 3/7*m**4 - 3/7*m**5 + 3/7*m**3 + 3/7*m**2.
-3*m**2*(m - 1)*(m + 1)**2/7
Suppose 2*i + 2 = -3*z - 1, 0 = -3*z + 5*i - 24. Let m be (-1 - (-8)/(-12))*z. Let -m*o - 11*o - 2*o**2 - 18 + 4*o = 0. What is o?
-3
Suppose 0 = -86*z + 7457 - 7199. Determine i, given that 6/11*i**z + 2/11*i**4 - 4/11 + 2/11*i**2 - 6/11*i = 0.
-2, -1, 1
Let r(p) be the third derivative of p**8/4032 + p**7/630 - p**6/180 + 7*p**5/30 - 8*p**2. Let q(s) be the third derivative of r(s). Let q(u) = 0. What is u?
-2, 2/5
Let f = -16 - -18. Let q(i) = -i**2 + 2*i. Let v be q(f). Factor 2*a**5 + 5*a**4 + 2*a**3 + 10*a**3 + 2*a + 8*a**2 + v*a**4 + 3*a**4.
2*a*(a + 1)**4
Let y = -59 - -56. Let j be -1*8/84*y. Factor -2/7*h**2 + j*h + 0.
-2*h*(h - 1)/7
Let q(i) be the second derivative of 2/3*i**3 + 0 + 26*i + 0*i**2 - 1/40*i**5 - 1/12*i**4. Solve q(j) = 0.
-4, 0, 2
Let b(x) be the first derivative of -3*x**4/8 + x**3 + 21*x**2/4 + 6*x + 29. Factor b(k).
-3*(k - 4)*(k + 1)**2/2
Suppose 4*c = 8*c - 3*x - 35, -10 = -c + x. Let 90*b**3 + 35*b**4 + 43*b**2 + 19 + 5*b**c + 65*b - 4 + 67*b**2 = 0. Calculate b.
-3, -1
Let n = -38723 - -193623/5. Factor 1/5 + 1/5*u - 2*u**2 + n*u**3.
(u - 1)*(2*u - 1)*(4*u + 1)/5
Factor -32 - 1/2*m**2 + 17*m.
-(m - 32)*(m - 2)/2
Let r(v) = -47*v - 233. Let m be r(-5). Let p(z) be the third derivative of -3/2*z**4 + 0*z + 0 + 1/5*z**5 + 7*z**m + 4/3*z**3 + 2/15*z**6. Factor p(j).
4*(j - 1)*(j + 2)*(4*j - 1)
Let h(b) be the first derivative of 12/7*b + 17 - 1/7*b**2 + 1/14*b**4 - 4/7*b**3. Solve h(x) = 0.
-1, 1, 6
Let n be (1 - -1)/(8/12). Let p be 2/6*8 + -2. Factor -4*j**2 - n*j - p - 5/3*j**3.
-(j + 1)**2*(5*j + 2)/3
Let w(b) = 2*b**3 + 11*b**2 - 23. Let l be w(-5). Find a such that 0 - 7/4*a - 1/4*a**l = 0.
-7, 0
What is p in -27/2*p + 1/8*p**4 + 0 - 15/8*p**3 + 9*p**2 = 0?
0, 3, 6
Let d(j) be the second derivative of -j**4/66 + 7*j**3/33 + 4*j**2 - 286*j. Suppose d(a) = 0. Calculate a.
-4, 11
Let j be 0 + -1 + -3 + (-6)/6. Let v be 1/j + 1 - (-26)/(-65). Solve -2/5*d**2 + 4/5*d - v = 0 for d.
1
Let t(c) be the third derivative of -c**6/840 - 17*c**5/420 - c**4/4 - 4*c**2 + 81. Find z such that t(z) = 0.
-14, -3, 0
Let z(k) be the second derivative of 2*k**2 + 1/2*k**4 - 1/3*k**6 - 26*k + 0 + 11/3*k**3 + 6/7*k**7 - 29/10*k**5. Solve z(o) = 0 for o.
-1, -1/2, -2/9, 1
Factor 1 - 1 + 20*c**3 + 19537*c**4 + 16*c**2 - 19533*c**4.
4*c**2*(c + 1)*(c + 4)
Let q(w) = 3*w**4 + 3*w**3 + 33*w**2 - 12*w - 12. Let h(f) = 11*f**2 - 3 + 2 - 10*f**2 + f**3. Let d(x) = -15*h(x) + q(x). Factor d(i).
3*(i - 1)**4
Let l = 176/255 - 2/85. Suppose t = -21*t + 6*t. Factor 0 + 0*h + t*h**2 + l*h**3 - 8/3*h**4.
-2*h**3*(4*h - 1)/3
Suppose -a = -2*k + 3*a - 46, 3*k = -3*a - 24. Let s = k + 20. Factor s*w**5 - 6*w**4 + 0*w**2 - 10*w**5 + 0*w**2.
-3*w**4*(w + 2)
Let r(u) = 5*u**4 + 85*u**3 + 210*u**2 + 5*u - 315. Let f(n) = 3*n**4 + 43*n**3 + 106*n**2 + 2*n - 158. Let j(a) = 5*f(a) - 2*r(a). Suppose j(z) = 0. What is z?
-4, -2, 1
Let t be ((-44)/10)/(((-2)/2)/35). Factor 3*v**3 + v**3 + t*v**2 - 138*v**2.
4*v**2*(v + 4)
Let o(j) = 2*j**2 + 26*j + 33. Let n(u) = 10*u**2 + 128*u + 166. Let f(y) = 3*n(y) - 16*o(y). What is q in f(q) = 0?
-15, -1
Let r be 40/(-48)*450/(-125). Factor -6/5 + 0*l**2 - 3/5*l**r + 9/5*l.
-3*(l - 1)**2*(l + 2)/5
Let o(z) be the second derivative of z**6/30 + 7*z**5/20 + 7*z**4/6 + 4*z**3/3 + 337*z. Let o(w) = 0. What is w?
-4, -2, -1, 0
Let u(g) be the second derivative of -g**5/70 + 25*g**4/2 - 4375*g**3 + 765625*g**2 - 240*g. Find i, given that u(i) = 0.
175
Let p(a) be the third derivative of -a**10/50400 + a**9/10080 - a**8/6720 - 7*a**5/30 - 7*a**2. Let s(t) be the third derivative of p(t). Factor s(z).
-3*z**2*(z - 1)**2
Factor -1/2*b**2 + 4*b - 7/2.
-(b - 7)*(b - 1)/2
Let -8 + l**2 - 293*l + 281*l - 5*l**2 = 0. Calculate l.
-2, -1
Factor 0 - 64/5*o - 8*o**2 + 4/5*o**4 + 28/5*o**3.
4*o*(o - 2)*(o + 1)*(o + 8)/5
Suppose 0 = -5*y - y + 450. Factor -y*a**2 + a**5 - 3*a**4 + a**5 + 3*a**3 - 5*a**5 + 78*a**2.
-3*a**2*(a - 1)*(a + 1)**2
Let m = -3638 - -3641. Factor 0*c**2 + 0*c**m + 2/5*c**4 + 0 + 0*c.
2*c**4/5
Suppose 0 = -5*k + 127 - 107. Let h(g) be the third derivative of 1/240*g**5 - 4*g**2 + 0 - 1/480*g**6 + 0*g**3 + 0*g + 0*g**k. Solve h(i) = 0.
0, 1
Let d(r) = -5*r**2 + 260*r + 16918. Let p(y) = 14*y**2 - 780*y - 50751. Let v(q) = 17*d(q) + 6*p(q). Factor v(b).
-(b + 130)**2
Let f = -2/89405 - -178832/983455. Solve 0 - f*g**2 - 3/11*g + 4/11*g**3 - 1/11*g**5 + 2/11*g**4 = 0 for g.
-1, 0, 1, 3
Let h(g) be the third derivative of -3*g**6/70 - 16*g**5/105 + 31*g**4/42 - 4*g**3/7 + 99*g**2. Solve h(m) = 0.
-3, 2/9, 1
Let r(v) be the second derivative of -v**8/6720 - v**7/1680 - v**3/6 - 9*v. Let d(k) be the second derivative of r(k). Solve d(g) = 0 for g.
-2, 0
Let q = 4244 - 4240. Find p, given that -12/7 - 40/7*p - 24/7*p**3 - 48/7*p**2 - 4/7*p**q = 0.
-3, -1
Let r(k) be the first derivative of -55/9*k**3 - 13 + 5/3*k**2 + 0*k + 15/4*k**4. Factor r(q).
5*q*(q - 1)*(9*q - 2)/3
Suppose -2*b = -226 + 216. Let a(v) be the third derivative of -1/6*v**3 + 0*v + 7/120*v**b + 5*v**2 + 0 + 5/48*v**4. Factor a(x).
(x + 1)*(7*x - 2)/2
Let o(i) be the third derivative of 7*i**6/540 - 89*i**5/270 + 46*i**4/27 + 20*i**3/9 - 2*i**2 + 172. Determine y, given that o(y) = 0.
-2/7, 3, 10
Let j(i) = 15*i**3 - 150*i**2 + 316*i - 36. Let r(u) = -u**3 + u**2 - u - 1. Let t(v) = -j(v) + 4*r(v). Factor t(w).
-(w - 4)**2*(19*w - 2)
Factor 0*k + 0*k**2 + 2/17*k**3 + 2/17*k**5 + 4/17*k**4 + 0.
2*k**3*(k + 1)**2/17
Let v(k) be the third derivative of -1/12*k**3 - 20*k**2 + 0*k**5 - 1/24*k**4 + 1/120*k**6 + 0 + 0*k + 1/420*k**7. Solve v(y) = 0.
-1, 1
Suppose 4*h + 5*v = -30, 52 = 2*h + v + 58. Factor h + 10/11*o + 2/11*o**2.
2*o*(o + 5)/11
Let y(t) = -10*t**3 + 10*t**2 + 60*t - 16. Let q(v) = 3*v**3 - 4*v**2 - 20*v + 5. Let x(i) = -16*q(i) - 5*y(i). Factor x(u).
2*u*(u + 2)*(u + 5)
Suppose -3580*a + 54 = -3578*a + 3*s, 4*a = 2*s + 92. Suppose -a*u + 6/7*u**2 + 168 = 0. What is u?
14
Suppose 50/3*k - 6*k**2 + 4 = 0. What is k?
-2/9, 3
Let v(f) = 21*f**5 - 231*f**4 + 732*f**3 - 1062*f**2 - 27. Let d(b) = 3*b**5 - 33*b**4 + 104*b**3 - 152*b**2 - 4. Let h(n) = -27*d(n) + 4*v(n). Factor h(q).
3*q**2*(q - 4)**2*(q - 3)
Let o be ((-36)/(-30))/(((-182)/35)/(-13)). Factor -1/2*f**4 + f**2 - 1/2*f**5 - 1/2 + f**o - 1/2*f.
-(f - 1)**2*(f + 1)**3/2
Let r(x) be the third derivative of 7/6*x**4 + 0 + 0*x + 4/5*x**6 + 4/21*x**7 + 0*x**3 + 1/84*x**8 + 22/15*x**5 + 10*x**2. Solve r(b) = 0.
-7, -1, 0
Let x(a) be the third derivative of -a**6/60 - 7*a**5/60 + 5*a**4/8 + 68*a**2. Factor x(u).
-u*(u + 5)*(2*u - 3)
Let m = -2793 - -22347/8. Factor -1/8*z**2 - 1/4 - m*z.
-(
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{
"pile_set_name": "DM Mathematics"
}
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3 - q. Let r = 49 + -195/4. Put -0.5, l, r in increasing order.
-0.5, r, l
Suppose 2 = d - 1. Let s(r) = r**3 - 4*r**2 - r - 6. Let x be s(5). Let u = 10 - x. Sort d, u, -1 in descending order.
d, -1, u
Suppose -i + 8 + 20 = 5*u, 5*u - 19 = 2*i. Suppose 6 = -6*x + 4*x, 0 = -o + 3*x + 18. Let f = u - o. Sort 0, f, -1 in descending order.
0, -1, f
Let f = 33/12857 + 1/989. Let k = f + -2246/2795. Sort k, -2, 1/2 in descending order.
1/2, k, -2
Let q be (18/(-63))/(9/(-7)). Sort q, -10, -0.1, 4 in descending order.
4, q, -0.1, -10
Let i = 29/6 - 11/2. Put 0.4, i, 1/16 in descending order.
0.4, 1/16, i
Suppose -2*v + 0*v - 10 = 0. Suppose -5*r - n = -2 - 1, n + 7 = 5*r. Let i be (-2 + (4 - 1))/r. Put 5, i, v in ascending order.
v, i, 5
Let b = 7/25 - 2/25. Sort b, 2/5, -1 in ascending order.
-1, b, 2/5
Let i = -2.2 - -0.2. Let o = 0.5 + -0.3. Sort -0.2, i, o in decreasing order.
o, -0.2, i
Let l = -23 + 15. Let g(f) = -f**2 - 9*f - 11. Let a be g(l). Suppose 3 = 3*n - 3. Sort a, n, 0 in ascending order.
a, 0, n
Let w(n) = -n**3 - n + 2. Let z be w(0). Put z, -1, -3 in decreasing order.
z, -1, -3
Suppose -2*z - 4*y + 8*y = -4, y = 5*z - 28. Suppose 3*a = z - 0. Suppose -4*q = a*w - 5 - 5, -w = -q + 10. Put -4, q, -1 in ascending order.
-4, -1, q
Let w be 1 + (-4)/2 + -1. Let y(g) = g**3 + 3*g**2 - 3*g - 4. Let h be y(-3). Suppose -11*p - 6 = -9*p. Put p, w, h in descending order.
h, w, p
Let i = -8.576 - 0.024. Let d = 5.67 + i. Let b = -0.07 + d. Put 5, 4, b in increasing order.
b, 4, 5
Let c be (-41)/(-6) - (-8)/48. Let o = c - 7. Sort 2, o, -5 in descending order.
2, o, -5
Let j = -7 - -12. Let h be 92/(-20) + 0 + (-4)/10. Sort -2, j, h in ascending order.
h, -2, j
Let x = 11.2 + -10. Let w = x + -0.6. Let i = w - 0.7. Sort 0.1, 3, i in increasing order.
i, 0.1, 3
Suppose -3*l + l - 1 = -5*b, 3 = 4*l - 5*b. Suppose -l*g - 33 = 2*t + 3*t, -g = -t - 1. Sort -3, 3, t.
t, -3, 3
Let w(h) = 2*h - 7. Let g be w(5). Let z be 0 + (2 - (-8)/(-6)). Let t be 6/27 - (-180)/(-1539). Sort z, g, t in descending order.
g, z, t
Let m = 44.79 - -0.21. Let n = -39.4 + m. Let x = -0.6 + n. Put x, 2/5, -5 in descending order.
x, 2/5, -5
Let o = 103 + -63. Suppose -o + 3 = -3*c + 4*a, 0 = 3*c - 5*a - 38. Sort c, -5, 0 in decreasing order.
c, 0, -5
Let w = -0.5 + 0.4. Let c = 0.03 + w. Let j = c + 0.47. Put -0.1, j, 2 in descending order.
2, j, -0.1
Let y(a) = 2*a**2 + 4*a - 1. Let r be 1 + 2/2 - 5. Let c be y(r). Put 3, -3, c in descending order.
c, 3, -3
Suppose 3*b + 9 = 3. Sort b, 1, -5.
-5, b, 1
Let p = -13/2 - -7. Let c = -0.028 - -2.028. Sort c, p, -0.5 in descending order.
c, p, -0.5
Let r = -2.1 - 8.9. Sort 1, -1/10, r, -5 in increasing order.
r, -5, -1/10, 1
Let f be 3/4*-2*2. Let i(w) = w**2 + w - 3. Let g be i(f). Suppose -5*t - 4*p = 3, -4*t = -3*p - 11 + 32. Sort g, 2, t.
t, 2, g
Let w = -26 + 20. Sort 2, -2/5, 2/7, w in decreasing order.
2, 2/7, -2/5, w
Suppose 25 = 5*x + 4*j, 2*x - j + 4 - 27 = 0. Suppose 4*o - o = x. Sort o, 0, 1 in decreasing order.
o, 1, 0
Let a = 4 + -4.1. Let c = -0.2 + a. Let j = c + -0.2. Put -0.1, -4, j in decreasing order.
-0.1, j, -4
Let h(t) = t**2 + 8*t - 10. Let m be h(-9). Let y = m + 2. Sort y, -1, 3 in descending order.
3, y, -1
Suppose 7*z + 13 = -1. Sort 2, 6, 3, z.
z, 2, 3, 6
Let b = -15 + 8. Let r = 5 + b. Sort r, 1/3, -4 in ascending order.
-4, r, 1/3
Let c = -20 + -5. Let y = c - -24. Sort y, -1/4, -3 in increasing order.
-3, y, -1/4
Let o = -27 - -28. Let h be 0*o*(-4)/(-8). Let w = 3.99 + 0.01. Put h, 3, w in descending order.
w, 3, h
Let y = 2.129 + -0.129. Sort y, 0.2, 1 in descending order.
y, 1, 0.2
Let o = -0.5 - -0.1. Let d = -2.8 + 3. Let v = -0.1 + d. Sort 3/2, o, v in decreasing order.
3/2, v, o
Let c = -13.8 + 17. Let a = 0.2 - c. Put a, -2/9, 3 in increasing order.
a, -2/9, 3
Suppose 0*v + 2*v = -2. Let i be (1/(-2))/(v/8). Let j = -0.4 - -5.4. Put i, j, 0.5 in ascending order.
0.5, i, j
Suppose 0 = 18*u - 17*u - 1. Sort 0, -5, u in ascending order.
-5, 0, u
Let h be -3*(-1 - 8/(-12)). Put h, 2, 0 in increasing order.
0, h, 2
Suppose 5*b - 41 = -4*c, -4*b = -4*c - 5 + 1. Put -5, -2, b in decreasing order.
b, -2, -5
Let j = 0.8 - 0.3. Let t = 17.7 - 17.3. Put j, t, -1 in ascending order.
-1, t, j
Let t = -1 + 1. Let j(u) = u**3 - 4*u**2 + 3*u - 2. Let p be j(2). Let o(i) = i**3 + 5*i**2 + 2*i - 5. Let b be o(p). Sort t, b, 5 in increasing order.
t, b, 5
Let n = -11/70 - -1/42. Let a = -6.5 - -7. Put -3, a, n in decreasing order.
a, n, -3
Suppose -2*z = -o - 3*z + 5, -o - 1 = 3*z. Suppose 0 + o = -4*a. Let u be (-4)/20 + 14/(-30). Sort 2/7, u, a in descending order.
2/7, u, a
Let l(w) = 2*w. Let p be l(-2). Let f be (-4)/(-2) + -1 + -1. Sort p, -1, f in decreasing order.
f, -1, p
Let r = 1.9 - 0.7. Let j = r + -0.2. Let w(n) = n + 7. Let z be w(-7). Put j, z, 1/8 in descending order.
j, 1/8, z
Suppose 2*t + 0 = -2. Let p be (-4 - t)/(3 - 2). Put p, -5, 3 in ascending order.
-5, p, 3
Suppose 2*b = -0*b + 16. Let n = b - 11. Put 5, n, -1 in decreasing order.
5, -1, n
Let b be 3/(-3)*(1 - 8). Suppose 4*d = -b + 3. Put d, 0, 5 in descending order.
5, 0, d
Suppose 0*r - 5*r = -10. Let t be (-2 + r)*4/8. Sort -5, t, 3 in decreasing order.
3, t, -5
Let n(t) = -t**3 - 12*t**2 + 12*t - 17. Let k be n(-13). Put -2, 4, k, -8 in decreasing order.
4, -2, k, -8
Let n be (-2 + 3)/(-2)*4. Put n, 3, 7 in increasing order.
n, 3, 7
Suppose 2*t + 4 = -a, a + 13 - 5 = -3*t. Let g = 2 + 2. Let w = -6 + g. Put w, a, -0.1 in descending order.
a, -0.1, w
Let p(v) = -v**2 - v - 1. Let a be p(-2). Let c(x) = -x**2 - 4*x + 7. Let b be c(-6). Sort b, 3, a in descending order.
3, a, b
Let f be (-2)/3*(-24)/4. Sort f, -4, 0 in decreasing order.
f, 0, -4
Let v = -0.5 + 0. Let o = v + 0.8. Suppose -4*i - 8 = 0, -2 = -4*g - 0*i + 3*i. Sort 1, o, g in increasing order.
g, o, 1
Let c be 1*((-4 - -2) + 2). Suppose -k = 4*o - 16, o - k - 9 = -c*o. Suppose h + 5*m + 1 = -0, 0 = 5*h - 5*m + o. Sort h, -3, 0 in ascending order.
-3, h, 0
Let g = -9.4 - -9. Suppose 13 + 7 = 5*y. Sort 3, g, y in increasing order.
g, 3, y
Let w = -0.4 + 0.5. Let g = -456/1645 + -2/235. Sort g, 0.2, w in increasing order.
g, w, 0.2
Let u(d) = -d**3 + 9*d**2 + 3. Let q be u(9). Let w = -5 - -1. Sort w, -1, q in descending order.
q, -1, w
Suppose 5*g = g. Sort -1, 3, g in decreasing order.
3, g, -1
Suppose 5*v - s - 30 = 3*s, 4*s = -3*v - 14. Let f = 1 - 6. Sort f, v, -1.
f, -1, v
Let f = -6 + 8. Suppose -5*b - 5*w - 40 = 0, -4*b + f*b + 4 = -2*w. Sort b, 4, -4.
-4, b, 4
Let s be (4 - 1)*(-6)/(-9). Suppose -5*n + n = 0. Put s, n, -3 in descending order.
s, n, -3
Suppose 3*c + 2*s = -0*c - 18, 4*c + 2*s = -22. Let r be 2/(-2*2/(-8)). Sort r, 2, c in descending order.
r, 2, c
Suppose 2*z - 6 = -0*z. Put -4, z, -6 in ascending order.
-6, -4, z
Let n(h) = -10*h**2 - 5*h**3 - 13 + h**3 - 11*h + 3*h**3. Let k be n(-9). Suppose 5 = 4*y - k*y. Put -4, y, 3 in increasing order.
y, -4, 3
Suppose -m - 5*v + 1 = -17, 4*m - 3*v - 3 = 0. Suppose 3*g + 2*b = -4, -2*g - b = -0*g + m. Let k = 5 + g. Sort k, -5, 5 in ascending order.
-5, k, 5
Let q be (-9)/(-12) + (-24)/16. Sort -4, q, -5.
-5, -4, q
Let f = 62 + -56.8. Let b = f + -5. Put b, -4, -5 in ascending order.
-5, -4, b
Suppose -u - 4 + 3 = 0. Suppose 12 = -0*w - 3*w. Sort w, u, -3 in decreasing order.
u, -3, w
Let x = -17 - -16. Let t = 4 - x. Sort -0.1, t, -5.
-5, -0.1, t
Let o = 7/17 - 55/51. Let d = 0.03 - -0.27. Let k = d - 0.8. Put -3/4, o, k in increasing order.
-3/4, o, k
Let w be -6*((-10)/(-6) - 1). Let g(p) = p**2 - 9*p - 6. Let k be g(10). Suppose -b + 3*r = 3 - 0, 4 = k*r. Sort w, b, -3.
w, -3, b
Suppose 6 + 7 = 2*u + 3*l, -2*l + 2 = 0. Put 3, -4, u, 0 in ascending order.
-4, 0, 3, u
Let n be ((-3)/12)/((-1)/(-4)). Sort -5, n, -4 in decreasing order.
n, -4, -5
Let h = -11.4 + -1.6. Put h, -3/4, -1/2 in ascending order.
h, -3/4, -1/2
Let c = -0.53 - -0.13. Let h = 0.1 - c. Put -1, -0.1, h in ascending order.
-1, -0.1, h
Let b(k) = -k**3 + 9*k**2 - 10*k + 7. Let j be b(8). Let d = 5 + j. Sort 0.1, 4, d in descending order.
4, 0.1, d
Let o be -2 + (-5)/(60/(-16)). Put o, 2, 4 in descending order.
4, 2, o
Let x = 4.7 + -5. Put x, -3, 0.2 in increasing order.
-3, x, 0.2
Suppose 0 = -x + 3*b + 3, 0*b - 12 = -4*x - 2
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{
"pile_set_name": "DM Mathematics"
}
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Let u(c) = c. Let d(r) be the second derivative of -5*r**3/6 - 2*r - 25. Calculate -d(i) + 6*u(i).
11*i
Let h(q) = -6*q**3 + 20*q**2 + 11*q. Suppose 37*v - 33*v = -44. Let a(g) = -2*g**3 + 7*g**2 + 4*g. Calculate v*a(k) + 4*h(k).
-2*k**3 + 3*k**2
Let t(q) be the third derivative of -7*q**5/30 - 5*q**3/3 + 4*q**2. Let i(d) = d**2 + 1. Let w = -116 + 115. Give w*t(g) - 12*i(g).
2*g**2 - 2
Let b(m) = -8*m + 7. Let p(n) = -4*n + 4. Calculate -4*b(x) + 7*p(x).
4*x
Let k(w) = -4*w**3 - 2*w**2. Let n(j) = -368*j + 5526. Let z be n(15). Let t(y) = y**2 + y**3 + 3*y**2 - 3*y**2. Determine z*t(b) + 3*k(b).
-6*b**3
Let g(r) = r**2 - r. Let t(h) be the second derivative of -5*h**4/12 - h**3/3 - 11*h - 2. Determine -4*g(k) - t(k).
k**2 + 6*k
Let t = 55 - 100. Let z = -65 - t. Let k be 10/z*(4 - 0). Let l(f) = f**3 - f**2 - 9*f - 5. Let m(o) = 4*o + 2. What is k*l(w) - 5*m(w)?
-2*w**3 + 2*w**2 - 2*w
Let b(n) be the first derivative of -n**3/3 + 4*n**2 - 9*n + 10. Let t be b(6). Let o(u) = -7*u**2 + 2*u. Let s(v) = 4*v**2 - v. Determine t*o(j) + 5*s(j).
-j**2 + j
Let m(n) = -6*n + 2 - 11*n - 13*n + 38*n. Let o(y) = -8*y - 3. Determine -3*m(d) - 2*o(d).
-8*d
Let t(d) = d + 2. Let v(p) = 267*p - 4. Give 2*t(i) + v(i).
269*i
Let f be -18 - (2 + -20) - (0 - 3). Let n(q) = q. Let t(k) = -4*k - 10. What is f*n(s) + t(s)?
-s - 10
Let x(s) = -s**2. Let z(t) = 3*t**2 - t - 7*t**2 + 0 + 1 + t**2. What is 4*x(o) - z(o)?
-o**2 + o - 1
Let f(d) be the third derivative of -d**6/120 - d**5/12 + d**4/6 - 2*d**3/3 + 3*d**2 - 1. Let t(n) = -3*n**3 - 14*n**2 + 11*n - 11. Determine 11*f(w) - 4*t(w).
w**3 + w**2
Let h(w) be the first derivative of w**4/2 - w**3 - 3*w**2/2 - 3*w + 11. Let g(z) = 18*z**3 - 26*z**2 - 26*z - 26. Calculate 6*g(v) - 52*h(v).
4*v**3
Suppose -48 = -2*m + 8*m. Let r(q) = q**2 + 5*q + 7. Let v(l) = 2*l**2 + 8*l + 11. Give m*r(d) + 5*v(d).
2*d**2 - 1
Let l(a) = 3*a - 101. Let j(o) = -2*o + 101. Determine 5*j(f) + 4*l(f).
2*f + 101
Let p(l) = -l - 20. Let a be p(-6). Let k(b) = 5*b - 7. Let w(y) = y - 1. Let v = 16 - 14. Give a*w(m) + v*k(m).
-4*m
Let y(t) = 11*t**3 - 2*t**2 - 17*t - 2. Let z(o) = 5*o**3 - o**2 - 8*o - 1. Give 6*y(c) - 13*z(c).
c**3 + c**2 + 2*c + 1
Let q(h) be the second derivative of 4/3*h**3 - 6*h**2 + 0 - 27*h. Let o(j) = -j + 1. Determine -12*o(s) - q(s).
4*s
Let c(q) = q. Suppose 5*k + 4*l + 123 = 0, -2*k + 12 = -3*k - 5*l. Let h(w) = -18*w. Give k*c(y) - h(y).
-9*y
Let c(q) = -q**3 - q + 1. Let o(p) = -31*p**3 - 2*p + 9. Determine 2*c(g) - o(g).
29*g**3 - 7
Let h(t) be the second derivative of -19*t**4/12 - 13*t**3/6 - 2*t**2 + 395*t. Let r(n) = 5*n**2 + 3*n + 1. Calculate -2*h(j) - 9*r(j).
-7*j**2 - j - 1
Let q(k) = k + 1. Let c(z) = 1. Suppose 0 = -4*b + 2*b + 8. Suppose -b - 8 = -4*j. Suppose 3 - 6 = -j*p. What is p*q(f) - c(f)?
f
Let g(f) = -f**3 + f**2 + f. Suppose -17*y = -7*y + 10. Let l(v) = v**2 + 3*v + 1. What is y*l(j) + 3*g(j)?
-3*j**3 + 2*j**2 - 1
Let d(q) = -94*q**3 - 8*q**2 + 20. Let r(p) = -31*p**3 - 3*p**2 + 7. Determine 3*d(c) - 8*r(c).
-34*c**3 + 4
Suppose 5 = 5*f - 25. Let g(a) = -9 + 8 + 7*a + a + 4. Let v(z) = z. Calculate f*v(n) - g(n).
-2*n - 3
Let r(z) = -z**3 + z**2 + 1. Let o(b) = -10*b**3 + 2*b**2 - 3*b + 6. What is -o(q) + 6*r(q)?
4*q**3 + 4*q**2 + 3*q
Let p(g) = -141*g**2 + 6*g - 1. Let v(r) = 423*r**2 - 17*r + 3. What is -17*p(b) - 6*v(b)?
-141*b**2 - 1
Let k(r) = 2*r**2 + 10*r - 17. Let i(x) = -x**3 + 3*x**2 + 13*x - 18. Calculate -3*i(a) + 4*k(a).
3*a**3 - a**2 + a - 14
Let r(y) = -20*y**2 - 3*y - 14. Let f(q) = 7*q**2 + 5. Determine -17*f(h) - 6*r(h).
h**2 + 18*h - 1
Let x(l) = -l**2 - 2*l - 2. Let p = -951 - -953. Let z(f) = -f**2 - 2*f - 1. Give p*x(h) - 3*z(h).
h**2 + 2*h - 1
Let p(i) = -13*i**3 - 7*i**2 + 9*i + 13. Suppose -8*t - 17 = 39. Let o(w) = -4*w**3 - 2*w**2 + 3*w + 4. Calculate t*o(c) + 2*p(c).
2*c**3 - 3*c - 2
Let q(t) = t**2 + t - 1. Let z(o) = -8*o**2 + 3*o - 12. Let v(g) = -2*g**2 - 1. Let a(c) = -9*v(c) + z(c). Calculate 2*a(p) - 6*q(p).
14*p**2
Let l(n) = -42*n + 5. Let g(d) = 43*d - 6. What is -3*g(c) - 4*l(c)?
39*c - 2
Let x(q) = q - 12. Let v(p) = -8 - 5 + 12. Give 6*v(b) - x(b).
-b + 6
Let g(f) = 5*f**2 - 16*f + 5. Let h(r) = r**2 - 3*r + 1. Suppose -w - 4*c + 1 = -4, 5*w + 51 = -c. Calculate w*h(z) + 2*g(z).
-z**2 + z - 1
Let q(p) = -107*p**2 + 11*p - 15. Let c(g) = -21*g**2 + 2*g - 3. Give -11*c(a) + 2*q(a).
17*a**2 + 3
Let f(v) = -266*v - 268*v + 545*v. Let o(i) = 11*i. Give -2*f(z) + 3*o(z).
11*z
Let l(d) = -12*d**3 - 3*d**2 - d + 2. Let n(b) = -2*b**3 + b**2 - b - 1. Determine l(c) + 2*n(c).
-16*c**3 - c**2 - 3*c
Let m(p) = -p - 11. Let u(n) = -63 + 2*n + 52 + 39. Calculate -12*m(r) - 5*u(r).
2*r - 8
Let j(p) = -345*p**3. Let c(r) = -24149*r**3. Calculate -4*c(s) + 279*j(s).
341*s**3
Let q(p) = 73*p**3 - 3*p + 3. Let n(w) = 145*w**3 - 6*w + 5. Calculate 3*n(k) - 5*q(k).
70*k**3 - 3*k
Let t(u) = 6*u + 9. Let a(d) = 8*d - 35. Let q(l) = 9*l - 43. Let v(s) = -6*a(s) + 5*q(s). Determine 6*t(p) + 11*v(p).
3*p - 1
Let v(j) = j - 4. Let d(q) = 5*q - 21. Let k = -4 + 8. Suppose -71 = k*w - 8*w + 3*r, -5*w + 4*r = -90. Let m be (0 - -3) + 0 - w. Calculate m*v(u) + 2*d(u).
-u + 2
Let w(x) = -x**3 - 4*x**2 - 6*x. Let l(u) = -2*u**3 - 5*u**2 - 5*u. Determine 5*l(q) - 4*w(q).
-6*q**3 - 9*q**2 - q
Let z(c) = -c**2 + 1. Let d(a) = 7*a**2 + 3*a - 4. Suppose 376*x - 369*x + 7 = 0. What is x*d(b) - 4*z(b)?
-3*b**2 - 3*b
Let f(l) = -9*l + 2. Let y(h) be the first derivative of 37*h**2/2 - 9*h - 31. What is 9*f(q) + 2*y(q)?
-7*q
Let b(y) = -17*y**2 + 111*y + 11. Let z(d) = -6*d**2 + 37*d + 4. Calculate -4*b(k) + 11*z(k).
2*k**2 - 37*k
Let w(o) = 46*o**3 + 5*o**2 + 3*o - 14. Let d(x) = -23*x**3 - 3*x**2 - x + 8. Calculate -7*d(n) - 4*w(n).
-23*n**3 + n**2 - 5*n
Let l(h) = -4*h**3 + 17. Let r(b) = -3*b**3 + 16. Give -4*l(t) + 5*r(t).
t**3 + 12
Let f(x) = 166*x**2 + 4*x + 3. Let n(z) = 249*z**2 + 6*z + 5. Calculate 8*f(y) - 5*n(y).
83*y**2 + 2*y - 1
Let p(h) = -9*h + 45. Let c(g) = 8 + 14 + 14 - 35. Determine -90*c(s) + 2*p(s).
-18*s
Let t(w) = 5*w + 2. Let m be 0 - 0 - (-6)/3. Let c(g) = -m + g + 5 + 5*g. Let r be 1*(-1)/2*6. What is r*c(i) + 4*t(i)?
2*i - 1
Let i(z) be the second derivative of -7*z**4/12 + 5*z**3/6 - 7*z - 4. Let y = -15 - -11. Let n(b) = -6*b**2 + 4*b. Give y*i(k) + 5*n(k).
-2*k**2
Let y(u) = 3*u - 16. Let q(d) = -2*d + 10. Determine -7*q(i) - 4*y(i).
2*i - 6
Let j(p) = 11*p**3 - 11*p**2 + 3*p + 2. Let g(y) = 4*y**3 - 4*y**2 + y + 1. Give 8*g(n) - 3*j(n).
-n**3 + n**2 - n + 2
Let p(o) = -4*o + 16 - o + 3*o - 2*o + o. Let f(g) = -2*g + 11. Give 7*f(j) - 5*p(j).
j - 3
Let m be 6*((-35)/14)/(-5). Let n(d) = -6*d**3 - 2 + 4*d**3 + 2*d**3 - 2*d**3. Let u(t) = 2*t**3 + t + 3. Determine m*n(i) + 2*u(i).
-2*i**3 + 2*i
Let m(d) = 9*d + 7. Let v(r) = r**2 - 36*r + 92. Let b be v(33). Let j(z) = 3 + 9*z - z - 4*z. Calculate b*j(p) + 3*m(p).
-p
Let j(f) = f**3. Let d(i) = -3*i**3 + 34*i**2 - i + 2. What is -d(a) - 4*j(a)?
-a**3 - 34*a**2 + a - 2
Let h(w) = -w**2 - w - 1. Let j(o) = o**2 + 3*o + 64. Determine -3*h(a) - j(a).
2*a**2 - 61
Suppose 9*p = -2 - 43. Let b(g) = -g**2 + 6*g + 3. Let f be b(6). Let k(c) = 3*c**2 - 3*c - 3. Let i(n) = 2*n**2 - 2*n - 2. Give f*k(w) + p*i(w).
-w**2 + w + 1
Let g(p) = p. Let j be -2 + 5 - (-21)/14*-6. Let b(w) = -w**2 - 6*w. Give j*g(l) - b(l).
l**2
Suppose -2*g - 5 = 1, 3*w = g - 12. Let r(x) = -7*x**3 - 9*x**2 - 5*x + 9. Let z(o) = 11*o**3 + 14*o**2 + 8*o - 14. Determine w*z(l) - 8*r(l).
l**3 + 2*l**2 - 2
Let j(n) = -n**2 + 8*n**3 + 0*n**3 + 3*n + 3*n**2 - 9*n**3. Let t(s) = 2*s**3 - 5*s**2 - 7*s. Determine 5*j(r) + 2*t(r).
-r**3 + r
Let g = 62 - 27. Suppose g = -4*x + 3*a, 6*a - a = 3*x + 40. Let o(z) = -7*z**3 + 5*z**2 - 7*z. Let p(d) = 6*d**3 - 4*d**2 + 6*d. Give x*p(n) - 4*o(n).
-2*n**3 - 2*n
Let t(p) = p**3 + p**2. Let v(h) = -23*h**3 + 3*h**2. What is 6*t(l) - v(l)?
29*l**3 + 3*l**2
Let v(m) = 163*m**3 - 5*m**2 - 3*m + 3. Let c(b) = -163*b**3 + 4*b**2 + 2*b - 2. Determine -3*c(s) - 2*v(s).
163*s**3 - 2*s**2
Let b(k) = 5*k**3 - 2*k**2 - 2*k + 3. Let t(h) = -4*h**3 + 17*h**3 + 2 - 9*h**3 - h**2 - 2*h. Let u be 12/9*(-3)/2. Calculate u*b(x) + 3*t(x).
2*x**3 + x**2 - 2*x
Let j(v) = 3*v**2 - 3*v. Let n(u) = 7*u**2 - 9*u + 1. What is -8*j(b) + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
Let b = -13 + q. Sort b, 2, -3 in ascending order.
-3, b, 2
Let l be 30/9*-10*207/42. Let z = l - -164. Sort -4, 3, z in decreasing order.
3, z, -4
Let p = 298 - 301. Sort -2.7, p, 1, -9.
-9, p, -2.7, 1
Suppose -25 = x - 6*x. Let a(t) = t + 5. Let k be a(-6). Let o = k + 3. Sort x, 3, o in descending order.
x, 3, o
Let t be -4 - (-7 + 2) - (3 - -1). Sort 0, -9, t, -4 in increasing order.
-9, -4, t, 0
Let b = 4.5 - 4. Let x = -606.2 - -606. Sort x, -0.5, -0.06, b in decreasing order.
b, -0.06, x, -0.5
Let p = -6 - -2. Let m = 0 - -0.1. Let b = -1.1 + m. Sort b, 0.5, p.
p, b, 0.5
Suppose 0*a = 6*a. Suppose 5*p + 45 = 5*j, 3*p - 3*j = 5*p - 7. Put 1, -1, p, a in descending order.
1, a, -1, p
Let w(t) = -t**2 - 12*t + 41. Let x be w(-15). Let z = 20 - 12. Let i be x/(-6) - z/21. Put i, -0.2, 1 in descending order.
1, i, -0.2
Suppose 4*c + 95 = 5*w, w - 3*c = -0*c + 19. Let a be (345 - 358) + 17 + -1. Sort 2, w, a in decreasing order.
w, a, 2
Let w = 14.34 + -18.3. Let q = 0.04 - w. Put q, -21, 3 in increasing order.
-21, 3, q
Suppose -5*q + 4*q - o - 7 = 0, -3*q = 2*o + 18. Put q, -23, 4, -3 in decreasing order.
4, -3, q, -23
Let z = 22.71 - 17.71. Sort -53, 2, z, -3 in decreasing order.
z, 2, -3, -53
Let k = -286 - -289. Sort k, 0, 1 in descending order.
k, 1, 0
Let q = 0.14 + -5.14. Let g(y) = y**3 + 6*y**2 + 6*y + 2. Let h be g(-4). Let b be 1 + (18/h)/(-3). Sort 3, q, b in descending order.
3, b, q
Let z be (5/(-9))/(170/(-102))*0. Suppose o = 3*q + 12, q + o = 5*o - 15. Put -4, z, q in ascending order.
-4, q, z
Let j = -1.936 - -91.836. Let z = j + -90. Sort -1/5, z, -1/6, 4/3 in increasing order.
-1/5, -1/6, z, 4/3
Let k(l) = -3*l**2 + 5*l - 2. Let x(r) = -7*r**2 + 9*r - 4. Let c(b) = 5*k(b) - 2*x(b). Let p be c(6). Suppose n - 5 = -p. Put 4, -4, n in increasing order.
-4, n, 4
Let u = -808 - -887. Sort 3, u, -2, -5 in descending order.
u, 3, -2, -5
Suppose g + 4*g - 70 = 5*k, 2*g + k - 25 = 0. Let u = 27.6 + -28. Put g, -4, u in ascending order.
-4, u, g
Let b = 5.04 + 0.36. Let i = 5 - b. Put 2, -1, i, -0.9 in descending order.
2, i, -0.9, -1
Let h(v) = v**2 - 4*v - 10. Let y be h(6). Suppose 5*x - x = -52. Suppose -6*t = -13 - 5. Put y, t, x in descending order.
t, y, x
Suppose -5*o + 116 = -9. Suppose 0 = -4*b - o + 5. Let p(r) = r**3 + 4*r**2 - 5*r + 6. Let d be p(b). Put d, -4, -2 in increasing order.
-4, -2, d
Let o = -1.3 - -0.29. Let i = o + 0.81. Let r = 0.3 + -5.3. Sort r, i, 3 in ascending order.
r, i, 3
Let d be (-110)/(-715)*(2 + -1). Put 8, -4, -2, d in decreasing order.
8, d, -2, -4
Let s = 4/17 + 1/68. Let w = 228.5 + -228. Put 0.02, -2/21, s, w in descending order.
w, s, 0.02, -2/21
Let g be (-1)/3*-3 - 6. Let u = -71 - -74. Put 2, u, g in decreasing order.
u, 2, g
Let r = -231 - -165. Let b = r - -71. Suppose -5*w = 2*o + 2*o - 3, -4*o + 4*w = -12. Put b, o, 0 in descending order.
b, o, 0
Let d = -971 - -4853/5. Put d, -0.03, 1/2 in descending order.
1/2, -0.03, d
Suppose 4*u = -5*z + 25, 3*u = -3*z + 7 + 5. Suppose -5*q + z*q + 240 = 0. Let d be -3*(-8)/q*-10. Sort -4, -3, d.
-4, -3, d
Let s = 100 - 104. Let c = 17 - 35. Let y be 4/c + 83/9. Sort 1, y, s.
s, 1, y
Let f(v) = 2*v + 7 + 3*v**2 - 3*v + 0*v**3 - 7*v**2 - v**3. Let w be f(-3). Let z be w + (-2)/2 + 5. Sort 1, -5, z in decreasing order.
z, 1, -5
Let x = 8.2 + -1.2. Let u = -80.1 + 87. Let z = x - u. Put 2/13, -0.2, z in decreasing order.
2/13, z, -0.2
Let b = -0.1 - 0. Let p = -0.1 - b. Suppose 22*s + 8 = 26*s. Put -1/2, p, s in increasing order.
-1/2, p, s
Let z = 231 - 227. Sort 5, 2, z, -4 in increasing order.
-4, 2, z, 5
Let h be (-25)/(-7) + ((-594)/(-63) - 10). Sort -8, -5, h.
-8, -5, h
Let x = -42.92 + 43. Sort -1, x, -3, 2/3.
-3, -1, x, 2/3
Suppose 3*m - 4*m + 4 = 0. Let w(h) be the second derivative of h**3/6 - 5*h**2 - 5*h. Let l be w(15). Put l, -7, m in ascending order.
-7, m, l
Let m = -16 - -18. Put -3, 130, m in decreasing order.
130, m, -3
Suppose 0 = -8*u + 4*u - 56. Let r(w) = -2*w - 11. Let s be r(u). Let z = s + -21. Sort -1, -0.5, z in decreasing order.
-0.5, -1, z
Let b = 10.532 + -0.032. Let p = b + -11. Put p, 4/5, 0.3 in ascending order.
p, 0.3, 4/5
Let q(c) = -3*c - 4 - c - 7 - 9. Let d be q(-6). Put -10, d, -1 in descending order.
d, -1, -10
Let s be ((-2)/18)/(-10 + 76/8). Put -0.03, s, 1/2, 4 in decreasing order.
4, 1/2, s, -0.03
Let a = 255 - 258. Sort 0, a, 0.2, 5 in decreasing order.
5, 0.2, 0, a
Let r be -2*(4 + -2)*(-3)/6. Let d(l) = -l**3 + 4*l**2 + 4*l + 5. Let f be d(5). Let i be ((-1)/3)/(-1 + f). Sort 0.1, r, i in increasing order.
0.1, i, r
Let s = -7579 - -7578.99. Let q be 2/6 + 7/15. Put q, 2/5, s in ascending order.
s, 2/5, q
Suppose 6*c + 86 - 92 = 0. Sort -3, c, 0.4, 0.32 in increasing order.
-3, 0.32, 0.4, c
Let n be (8/(-13))/(-8) + 122/(-234). Let f be ((-4)/(-2))/(-2)*0. Let r = f + 1/6. Put n, -0.3, r in increasing order.
n, -0.3, r
Let x be ((-10)/8)/((10/16)/(-5)). Suppose x*c = 13*c - 36. Put -2, c, 0 in increasing order.
-2, 0, c
Let a = -76 - -520/7. Put -0.2, a, 5 in descending order.
5, -0.2, a
Let p = -316 - -317. Sort p, 5, -1, -5.
-5, -1, p, 5
Let r be (-3)/(-12) - 10/104. Let j = 0.134 - 0.059. Let b = j + -0.175. Sort r, b, -1/3.
-1/3, b, r
Let b = 1.5 + -2.8. Let j = -0.3 - b. Let i be (-33)/44 + 2/8. Put j, i, -2/3 in ascending order.
-2/3, i, j
Let l = 21 - 37. Let x = l - -12. Let t = x - -1. Put t, -3/4, 3 in descending order.
3, -3/4, t
Let k(d) = d**2 - 9*d - 19. Let c be k(-2). Suppose c*q = 13 - 28. Put -35, q, 5 in increasing order.
-35, q, 5
Suppose 5*r = 7*r + 8, -4*o + 4*r = -32. Suppose -5 = -s - 1. Suppose -5 - s = 3*l. Sort -5, l, o in decreasing order.
o, l, -5
Let u = 0.5354 - 0.0354. Sort 3, u, -3, 10 in decreasing order.
10, 3, u, -3
Let g = -12 - 2. Let o(t) = 2*t + 8*t - 12*t + 3*t - 4. Let s be o(2). Sort 2, s, g.
g, s, 2
Let j = -3.1584 - 0.8806. Let k = j + 0.039. Put k, -1/2, -1 in increasing order.
k, -1, -1/2
Let c = 2 - 3. Suppose 155*d - 52 = 413. Put d, 4, c, -6 in increasing order.
-6, c, d, 4
Let o be -5 + (-31)/(-2) + 14/4. Sort -8, -2, o in descending order.
o, -2, -8
Let m(g) = -g**3 - 7*g**2 - 7*g - 11. Let x be m(-6). Let h(f) = 3*f**3 - 9*f**3 - f**3 + 1 + 2*f. Let a be h(-1). Sort 4, a, x in increasing order.
x, 4, a
Let z = -76/3 + 26. Let g = -0.4 - -0.2. Sort 14/3, z, g in increasing order.
g, z, 14/3
Let w = 44 - 43.7. Let d = 1.7 + w. Sort -1/72, 4, -2, d in ascending order.
-2, -1/72, d, 4
Let d = -16 - -16. Let o be (-21 - -3) + d + 1. Let i = 17 + o. Put i, 2/3, -0.3 in descending order.
2/3, i, -0.3
Suppose 2*h = -5*z - 0*h + 12, -2*z - 3*h = 4. Suppose 4*w = -z*g, 0 = -5*w + 4*g + 31 + 5. Suppose -w*x + 5 = x. Put x, 5, 2/9 in descending order.
5, x, 2/9
Let u = 1.5 - 0.3. Let s = 0.17 - -1.53. Let l = s - u. Put -5, l, -4/3 in ascending order.
-5, -4/3, l
Let b be -1*1/(-2)*-2. Let x = -566 + 357. Let u be 0 + 0 + 2 + x/99. Sort u, b, 3/2.
b, u, 3/2
Suppose -4*x + 6 = -10. Let f = -0.048 + -21.952. Let l = -17 - f. Sort 1, l, x in decreasing order.
l, x, 1
Suppose -2*t = 4*j - 4, 4*t - 11 = 5*j - 3. Let v = 1 - t. Let p = -2026 - -2029. Put -4, p, v in decreasing order.
p, v, -4
Let m(r) = r**3 - 4*r**2 + 10*r - 36. Let l be m(4). Sort 0, -13, -5, l.
-13, -5, 0, l
Let r be (1 + 4)/((-30)/(-12)). Suppose -5*g + 49 = 64. Sort g, r, -1 in decreasing order.
r, -1, g
Let q be -7*15/(-21) + -10. Suppose 2*y = -0*y - 8. Sort q, y, -6 in descending order.
y, q, -6
Suppose -14*n = -28*n - 14. Put 3, 0, n, 2 in increasing order.
n, 0, 2, 3
Let a be (-5)/(-10) + 1/(-2). Suppose 3*z + a*z + 15 = 0. Sort z, 0.5, -13.
-13, z, 0.5
Let o(z) = -2*z - 36. Suppose 19*s - 18*s + 17 = 0. Let u be o(s). Sort -1, u, -4.
-4, u, -1
Let h = 3 - 1. Let a = -1.998 - 0.002. Sort a, 1/4, -0.9, h.
a, -0.9, 1/4, h
Let g be -1 - (-12)/((-432)/(-60)). Sort 0.2, 1/4, g, -0.6 in ascending order.
-0.6, 0.2, 1/4, g
Let a = -540 + 600. Sort 0, 0.2, a in increasing order.
0, 0.2, a
Let i = 1917 + -1913. Put -4/7, 5, 11/2, i in decreasing order.
11/2, 5, i, -4/7
Let b be ((-15)/25)/(7/(-35)). Sort -62, b, -3.
-62, -3, b
Let o(h) = 2*h**2 - h. Let w be o(1). Let l be ((-8)/(-60)*-3)/(1/30). Let r be (12/l)/(1/(-4)). Put r, w, -5 in decreasing order.
r, w, -5
Let a(n) = n**2 - 43*n + 12
|
{
"pile_set_name": "DM Mathematics"
}
|
en four letters picked without replacement from cccjacuacrrsauu?
1/1092
Calculate prob of sequence xq when two letters picked without replacement from {x: 3, q: 1, f: 5, a: 1}.
1/30
Two letters picked without replacement from {s: 8, t: 1, e: 6}. What is prob of sequence tt?
0
Calculate prob of sequence iqi when three letters picked without replacement from {a: 2, q: 1, m: 2, d: 1, i: 4, x: 2}.
1/110
Two letters picked without replacement from {d: 2, g: 1, o: 2, h: 1, l: 4}. Give prob of sequence hl.
2/45
Two letters picked without replacement from {s: 7, o: 2}. What is prob of sequence ss?
7/12
Calculate prob of sequence wy when two letters picked without replacement from ywryyyryrwwry.
3/26
Three letters picked without replacement from wvgmvxk. What is prob of sequence vgk?
1/105
Three letters picked without replacement from {o: 6, c: 1, x: 6, i: 6}. Give prob of sequence ioo.
10/323
Three letters picked without replacement from ptparrrpprpo. What is prob of sequence ota?
1/1320
Two letters picked without replacement from {o: 3, s: 1}. Give prob of sequence oo.
1/2
What is prob of sequence kk when two letters picked without replacement from kckkmkcmkkkkckcc?
3/10
Calculate prob of sequence zdee when four letters picked without replacement from {e: 4, z: 2, d: 2, h: 2, k: 2}.
2/495
Calculate prob of sequence nin when three letters picked without replacement from {i: 1, n: 2}.
1/3
Four letters picked without replacement from {w: 10, h: 9}. Give prob of sequence hwhh.
35/646
Two letters picked without replacement from {t: 1, x: 1, d: 1, l: 1, y: 3}. What is prob of sequence xy?
1/14
Three letters picked without replacement from {m: 6, t: 2}. Give prob of sequence mmt.
5/28
Two letters picked without replacement from {f: 3, e: 10, g: 3, k: 1, m: 2}. What is prob of sequence gk?
1/114
What is prob of sequence aun when three letters picked without replacement from unhuhuaunhnuh?
5/572
Four letters picked without replacement from {y: 6, t: 2, i: 4, k: 1, g: 2, q: 2}. What is prob of sequence tyki?
1/1190
Three letters picked without replacement from {g: 1, h: 2, p: 1, z: 1, q: 2, w: 1}. What is prob of sequence zqp?
1/168
Two letters picked without replacement from kwfkw. What is prob of sequence wk?
1/5
Calculate prob of sequence anaa when four letters picked without replacement from axxnnyaaanexaexaexaa.
14/1615
Calculate prob of sequence gqg when three letters picked without replacement from qsaggusqsg.
1/60
Calculate prob of sequence yyb when three letters picked without replacement from {y: 7, b: 3}.
7/40
Two letters picked without replacement from {p: 11, e: 3}. What is prob of sequence pp?
55/91
Two letters picked without replacement from yoomyoddyyymo. What is prob of sequence oo?
1/13
Calculate prob of sequence ib when two letters picked without replacement from {e: 2, b: 2, k: 1, x: 1, i: 2}.
1/14
What is prob of sequence qbkb when four letters picked without replacement from {q: 2, j: 1, k: 1, b: 13}?
13/2380
What is prob of sequence mia when three letters picked without replacement from mriirairimiiimimiii?
22/2907
What is prob of sequence cc when two letters picked without replacement from {c: 7, f: 3, l: 3}?
7/26
Four letters picked without replacement from {n: 1, t: 1, w: 2, r: 3, f: 4}. Give prob of sequence wtft.
0
What is prob of sequence gvoa when four letters picked without replacement from aovglaaodldaogdg?
3/3640
What is prob of sequence nds when three letters picked without replacement from {n: 5, s: 4, d: 5}?
25/546
Calculate prob of sequence de when two letters picked without replacement from {e: 1, m: 4, k: 4, f: 1, b: 1, d: 1}.
1/132
Calculate prob of sequence ee when two letters picked without replacement from {h: 1, e: 3}.
1/2
Two letters picked without replacement from {u: 3, q: 11, a: 5, m: 1}. What is prob of sequence au?
3/76
Two letters picked without replacement from ihghihijihigii. Give prob of sequence hi.
2/13
What is prob of sequence vi when two letters picked without replacement from jiijiivivv?
1/6
What is prob of sequence hdh when three letters picked without replacement from {d: 2, j: 2, h: 4}?
1/14
What is prob of sequence hh when two letters picked without replacement from {a: 4, h: 2}?
1/15
Calculate prob of sequence zgj when three letters picked without replacement from rryzyrzrrrjrrrgr.
1/1680
Calculate prob of sequence wth when three letters picked without replacement from thhwhhhhwhwhw.
8/429
Two letters picked without replacement from {n: 2, t: 1, o: 1, z: 1, s: 1, h: 1}. Give prob of sequence ts.
1/42
Four letters picked without replacement from {o: 1, k: 3, m: 1, u: 2, f: 3}. What is prob of sequence kfmu?
1/280
What is prob of sequence jvjj when four letters picked without replacement from {h: 1, l: 2, v: 9, j: 4}?
9/1820
Calculate prob of sequence zfuk when four letters picked without replacement from {f: 1, k: 2, u: 1, z: 4, q: 3, l: 1}.
1/1485
What is prob of sequence ynyn when four letters picked without replacement from {y: 2, n: 7}?
1/36
Three letters picked without replacement from {e: 4, v: 1, c: 3, m: 2, b: 2}. Give prob of sequence mec.
1/55
Calculate prob of sequence hkk when three letters picked without replacement from kkphr.
1/30
Four letters picked without replacement from {x: 1, f: 7, e: 5, r: 1}. Give prob of sequence effx.
5/572
Two letters picked without replacement from jjejjjyejjjtej. Give prob of sequence jy.
9/182
Calculate prob of sequence bm when two letters picked without replacement from {b: 1, z: 9, m: 1}.
1/110
Calculate prob of sequence mm when two letters picked without replacement from {m: 4, i: 5, o: 1}.
2/15
Calculate prob of sequence tu when two letters picked without replacement from ceteuveeuuveeeevev.
1/102
What is prob of sequence xxll when four letters picked without replacement from lxbxbbbbxlbb?
1/990
What is prob of sequence ez when two letters picked without replacement from ueeeeeeze?
7/72
What is prob of sequence dem when three letters picked without replacement from {z: 1, e: 1, m: 1, d: 3, w: 1}?
1/70
Three letters picked without replacement from {n: 4}. What is prob of sequence nnn?
1
Two letters picked without replacement from ffffffffffdf. Give prob of sequence df.
1/12
What is prob of sequence aaea when four letters picked without replacement from {y: 7, e: 1, a: 5}?
1/286
Calculate prob of sequence jsjx when four letters picked without replacement from xjjjjxxs.
3/140
Calculate prob of sequence dudd when four letters picked without replacement from {d: 7, u: 6}.
21/286
Two letters picked without replacement from {e: 5, x: 3, s: 2}. What is prob of sequence xs?
1/15
Three letters picked without replacement from esmsudbm. What is prob of sequence edm?
1/168
What is prob of sequence xi when two letters picked without replacement from ioxxxxooixxxxiox?
9/80
What is prob of sequence va when two letters picked without replacement from {a: 1, d: 1, p: 2, f: 3, o: 3, v: 1}?
1/110
Four letters picked without replacement from {v: 1, m: 5, d: 2, e: 1, t: 1, y: 3}. What is prob of sequence vdyd?
1/2860
Four letters picked without replacement from {r: 4, t: 3}. Give prob of sequence ttrt.
1/35
What is prob of sequence eow when three letters picked without replacement from {e: 1, f: 2, w: 3, o: 4}?
1/60
Three letters picked without replacement from {a: 1, j: 3, g: 1, x: 4, u: 5, z: 1}. Give prob of sequence uga.
1/546
What is prob of sequence tptt when four letters picked without replacement from {p: 1, k: 1, t: 3}?
1/20
Two letters picked without replacement from yll. What is prob of sequence ly?
1/3
Four letters picked without replacement from {s: 2, m: 1, u: 12, h: 1, e: 3}. What is prob of sequence ueeh?
1/1292
Two letters picked without replacement from bbbnbnlbbb. What is prob of sequence lb?
7/90
Calculate prob of sequence bs when two letters picked without replacement from ogossb.
1/15
Three letters picked without replacement from {f: 1, e: 7}. Give prob of sequence eee.
5/8
Calculate prob of sequence ccrm when four letters picked without replacement from {i: 1, m: 2, c: 5, g: 1, r: 1}.
1/126
Two letters picked without replacement from {o: 1, l: 11, g: 2, n: 2, c: 1, m: 2}. Give prob of sequence lc.
11/342
Calculate prob of sequence rb when two
|
{
"pile_set_name": "DM Mathematics"
}
|
a factor of (15/4)/(4/s)?
False
Let z be -39 - (2 - (-1 - -1)). Let r be 2/(-4) - 131/(-2). Let q = z + r. Is q a multiple of 8?
True
Let d be 10/(-25) - 17/(-5). Suppose 5*s + 3 + 2 = 0, d*s = -2*p + 113. Suppose -6*i - 2*f + p = -2*i, 2*i - 38 = -4*f. Is 5 a factor of i?
False
Suppose -3*w = -76 - 8. Let c = w - -16. Let n = c - 22. Does 22 divide n?
True
Suppose -r + 2 = -0*r. Suppose a + 33 = -r*a. Let g(v) = -v**3 - 12*v**2 - 12*v + 4. Does 15 divide g(a)?
True
Let d = 5 - 5. Suppose 4*t + 4*u - 28 = d, -4*t - t + 3 = -3*u. Does 3 divide ((2 - t)*-5)/1?
False
Suppose -4*q + 2 = -4*x - 2, -2*q + 2 = 5*x. Suppose 0*l - l + 5 = x. Is l even?
False
Suppose 4*x - 14 = 5*i, 3*x - 2*i - 12 = i. Let z be ((-2)/3)/(x/(-18)). Is z/(4 - 2) - -18 a multiple of 10?
False
Let m(z) = 4*z - 5. Let a be m(6). Let l = 46 - a. Is l a multiple of 9?
True
Suppose -41*h = -36*h - 190. Is 38 a factor of h?
True
Let y = 30 + -9. Suppose 4*p + 3 = 11. Suppose p*d - 4*g = y + 23, -25 = -d + g. Is 14 a factor of d?
True
Suppose -10*s + 8*s + 382 = 5*i, 0 = 2*i + s - 153. Does 19 divide i?
True
Suppose -38 = 32*b - 34*b. Does 8 divide b?
False
Suppose i = 5, -4*i + 0*i + 20 = 2*l. Suppose l*x + 5*v = -2*x + 8, -x + 7 = 4*v. Does 11 divide (0 - x)*-2 - -24?
True
Let c = -14 + 53. Is c a multiple of 11?
False
Suppose 4*d + 0*a = 2*a + 12, -d = -4*a - 10. Suppose -4*g = 3*p - 71, -d*g + p = -3*g + 19. Is g a multiple of 4?
False
Let w(s) = s**3 - 2*s**2 + 6*s. Does 28 divide w(4)?
True
Is 10 a factor of -1*(-7 - -4) - 54/(-1)?
False
Suppose -5*o + 11 = -5*w - 14, 0 = -2*o + 4*w + 12. Suppose -o*a + 5*p = 8, -5*p = a - 9 - 14. Suppose -i = 3*v - a*i - 91, -2*i = 4. Does 20 divide v?
False
Let m be 3 - 21*(-8)/(-12). Let p = 0 - m. Is 9 a factor of p?
False
Suppose -5*r = 5*c - 4 - 26, 4*c = 2*r. Suppose -u = 5, 0 = c*i + 4*u - 21 - 105. Is 19 a factor of i?
False
Let z(x) = 4*x + 62. Does 7 divide z(8)?
False
Suppose -6*q + 0*q = -18. Does 7 divide 3*(2 + 1/q)?
True
Suppose 0 = c - 5*c - 72. Let s be c*(-5)/(10/8). Suppose -5*g + 0*u + u = -s, -2*g - 4*u + 42 = 0. Is 8 a factor of g?
False
Let o = 9 + -9. Let w be 0/2 + (17 - 1). Suppose 2*y - w = -o*y. Is y a multiple of 7?
False
Suppose 0 = b - 2 - 2. Suppose -3*n + n = -b. Suppose 4*v + n*x = 54, -2*x - 44 = -5*v + 1. Does 11 divide v?
True
Suppose 2 + 98 = -5*d. Suppose 46*r = 41*r + 25. Does 16 divide ((-39)/r)/(4/d)?
False
Suppose -12 = -5*m + 3*m. Let w(n) = 2*n**2 - 4*n - 8. Let o be w(m). Suppose -2*r + 2*a + 32 = 0, 0 = 5*r - r + 2*a - o. Does 12 divide r?
True
Suppose c + 12 = -2*c. Let j be (-5)/(1 - (-5)/c). Is (-8)/j + 114/10 a multiple of 11?
True
Does 3 divide ((-6)/(-4))/(6/(-8))*-5?
False
Suppose -2*f + 798 = 4*f. Is f a multiple of 19?
True
Let u be -3 + 18 + 3 + -6. Suppose 3*g = -u + 111. Does 13 divide g?
False
Let z = -11 - -16. Suppose a = 4*y - 58, -y - z*a = 3*y - 46. Does 6 divide y?
False
Suppose 0 = 3*f - x - 96, f + 32 = 2*f - 4*x. Let p = f - 13. Is 5 a factor of p?
False
Suppose 3*k + 5*g + 3 = 6*k, 5*k + 2*g = 5. Let t = 18 + k. Does 19 divide t?
True
Let d(j) = 9*j + 30. Is 15 a factor of d(10)?
True
Let c(b) = -b**3 + 8*b**2 - 8*b + 7. Let f = 14 + -9. Does 15 divide c(f)?
False
Suppose -5*v - 11 = 29. Is 2 a factor of (-27)/(-12) + 2/v?
True
Let z = -2 + 29. Suppose -z - 90 = -4*v + 5*s, -3*s - 38 = -v. Let c = v + 1. Is c a multiple of 12?
True
Let b be ((-4)/6)/((-6)/45). Let m(q) = -4*q**2 + 1 + q**3 + q + q + 0*q. Is m(b) a multiple of 18?
True
Let c(s) = 2*s - 1. Suppose -4*q - 4*m = 3 + 21, 6 = -3*q + 3*m. Let p be 22/4 - q/8. Is c(p) a multiple of 5?
False
Let q = 11 + -13. Is (q - -6)*1/2 a multiple of 2?
True
Suppose -4*b - 60 = -9*b. Is b a multiple of 12?
True
Suppose -2 = 5*l + 2*k + 4, 15 = -5*l - 5*k. Suppose 3*i - 2*g + g - 93 = 0, l = -5*i - 3*g + 169. Is 16 a factor of i?
True
Let o(b) = 5*b - 7. Does 13 divide o(6)?
False
Let k(z) = z**2 - 7*z + 8. Let p be k(9). Suppose 0 = -0*c + 3*c - 24. Does 6 divide p/4 - 4/c?
True
Suppose 267 + 621 = 6*g. Is 37 a factor of g?
True
Let h(n) = -6*n**3 - n**2 + 5*n + 3. Let z(i) = 2*i**3 - 2*i - 1. Let f(a) = 3*h(a) + 8*z(a). Is f(-3) a multiple of 10?
False
Suppose 3*w - z = 56, -4*w = -2*w + 4*z - 28. Is 6 a factor of w?
True
Let c = -1 - -1. Suppose o + 2*j + c*j - 60 = 0, -5*j = 3*o - 176. Let g = o - 25. Is g a multiple of 13?
False
Suppose 2*k + k = 195. Let s be (-1)/2 + k/(-10). Is (-2 + 1)*(1 + s) a multiple of 3?
True
Suppose a + 131 = 2*a. Is 24 a factor of a?
False
Suppose 2*j + 3*j = 15. Suppose -j*a - x + 4 = -6*x, 10 = 2*a + 4*x. Does 3 divide a?
True
Let a = -10 - -24. Is a a multiple of 8?
False
Let i be -2 - -1*2 - -2. Let u be 18 + -5 + i*1. Suppose -4*h + 13 = -u. Does 7 divide h?
True
Let o(x) = x**2 + 6*x + 5. Let c be o(-6). Suppose 74 = 4*a + a + 2*b, -a - c*b + 24 = 0. Suppose 0 = -h + a - 4. Does 10 divide h?
True
Suppose -250 = 7*o - 9*o. Does 35 divide o?
False
Suppose -5*z = -3*d - 75, 3*d - 19 = 2*z - 58. Does 19 divide (-8)/(z/3) + 48?
False
Suppose 0 = -z + 3*n - 2*n + 115, 9 = -3*n. Is 8 a factor of z?
True
Is 21 a factor of 3/(6/10)*(-672)/(-40)?
True
Suppose -3*p = 3*p. Suppose p*x + x - 7 = 0. Does 2 divide x?
False
Let w be (-35)/(-15) + 4/6. Let z = w + 6. Let a = z + -4. Is 3 a factor of a?
False
Suppose 3*o - s = 0, 0 = -7*o + 2*o + 3*s. Suppose o = 2*q - 8. Is 4 a factor of q?
True
Is 23 a factor of (193 - -1) + -2 + (-6)/(-2)?
False
Suppose 2*o = 3*o - 360. Suppose 6*w - o = 3*w. Suppose 5*n = 5*j + w, n = -2*n + 4*j + 72. Does 12 divide n?
True
Suppose 4*x - x = 15. Suppose -x*b = -0*b - 20. Suppose -b*n = -3*n - 24. Is 11 a factor of n?
False
Let q = -8 - -5. Let h(d) = -d**3 - 2*d**2 + d - 4. Is h(q) even?
True
Let c(s) = 2*s - 2. Let u be c(3). Let i = 3 + u. Let j(f) = f**2 - f - 6. Is 14 a factor of j(i)?
False
Let j = 96 + -35. Is j a multiple of 13?
False
Suppose 0 = -57*d + 51*d + 450. Is d a multiple of 4?
False
Let p(v) = -v**3 - 8*v**2 - 8*v. Is p(-7) a multiple of 3?
False
Let z(q) = 3*q**3 + 3*q**2 - 2*q + 1. Let g be z(3). Let o = -62 + g. Is o a multiple of 14?
False
Let h = -5 - -5. Suppose -3*t + h*t + 3*m = -66, m = -3*t + 74. Is t a multiple of 9?
False
Let g = 25 + -11. Is g a multiple of 13?
False
Let a be 3*5*32/24. Suppose q = 19 + a. Does 13 divide q?
True
Suppose -9 = -3*v - 3. Suppose -p + 62 = v*r, -5*r - 56 = -p - r. Does 15 divide p?
True
Let z(j) be the second derivative of j**6/360 + j**5/40 - 5*j**4/24 + j**3/6 - 3*j. Let p(n) be the second derivative of z(n). Is 5 a factor of p(-5)?
True
Let m(s) = s**3 + 10*s**2 + 13*s + 6. Does 28 divide m(-6)?
False
Suppose p - a = 1, 4*a + a + 15 = -5*p. Let n(q) = -12*q - 5. Let i(r) = -24*r - 11. Let w(m) = -6*i(m) + 13*n(m). Is 5 a factor of w(p)?
False
Suppose -408 = -s - 3*s. Is 21 a factor of s?
False
Let y = 0 + 2. Is 4 a factor of 23/y - (-3)/2?
False
Suppose -3*h + 3 = -4*h. Does 16 divide 8/24 + (-191)/h?
True
Let m(z) = -12*z**3 - 2*z**2 - 2*z - 1. Let v = 4 - 5. Is m(v) a multiple of 11?
True
Let b(y) = 5*y**2 + y + 2. Is b(2) a multiple of 12?
True
Suppose 5*x - 25 = -2*m, -m - 3*x + 15 = 2*m. Suppose m = -5*v + 26 + 49. Let g = 45 - v. Is 15 a factor of g?
True
Suppose d - 210 = -2*d. Is 29 a factor of d?
False
Let o(g) = -1 + 0 + 0*g - 5*g. Does 6 divide o(-2)?
False
Suppose 2*j + 159 = 5*o - 35, o - 5*j = 25. Does 3 divide o?
False
Let a = 14 + -11. Suppose 8*i = 5*i + a*z + 117, 4*i - 121 = -3*z. Is 11 a factor of i?
False
Let n be 2116/3 - (-14)/21. Let l be 2/(-9) + n/18. Let w = -9 + l. Is w a multiple of 15?
True
Let r = 4 - 1. Suppose l = r*l - 48. Is l a multiple of 12?
True
Let m be (-8)/36 + 11/9. Let b be (m - 17)*(-7)/2. Suppose 0*c = -4*c + b. Is 5 a factor of c?
False
Let q(u) = 2*u**2 - 8*u - 6. Suppose -2*i = -6*i + 24. Does 6 divide q(i)?
True
Suppose 0 = 4*t - 3*t + 18. Let k be ((-20)/(-12))/((-2)/t). Does 3 divide 10/(-2)*(-18)/k?
True
Suppose 3*y + 9 = -3. Is y*(-16 + (4 - 5)) a multiple of 17?
True
Let g be 3/2 + 2/(-4). Suppose -n + 5 = 0, 2*n - 22 = -5*q - 2. Let a = q + g. Is a a multiple of 3?
True
Let m(o) = 12*o**3 - 2*o**2 + 1. Suppose q + 7 = 2, -t - 15 = 5*q. Suppose 4*n + 5*j = 24, -5*n - 2*j + t = -3. Is 7 a factor of m(n)?
False
Suppose 0 = -2*z - 0 + 10. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
9
381 (base 14) to base 16
2bd
13303302 (base 4) to base 9
47780
Convert -11402 (base 5) to base 11.
-705
What is 20432 (base 6) in base 5?
42011
What is -1101101010 (base 2) in base 7?
-2356
What is 2788 (base 9) in base 6?
13425
What is -1442333 (base 5) in base 7?
-156200
What is c8aa (base 15) in base 9?
64217
Convert 11431 (base 5) to base 9.
1162
157 (base 13) to base 9
287
-c79 (base 15) to base 6
-21010
What is 18736 (base 10) in base 2?
100100100110000
Convert -162 (base 11) to base 12.
-139
-d455 (base 14) to base 8
-107263
Convert 25064 (base 9) to base 11.
11706
Convert 202 (base 9) to base 12.
118
What is 5b87 (base 14) in base 8?
37173
What is -2130 (base 8) in base 14?
-596
146a3 (base 12) to base 9
43246
Convert -26971 (base 11) to base 10.
-38435
60300 (base 8) to base 13
b373
What is 32210 (base 4) in base 3?
1021112
What is -10111101010011 (base 2) in base 10?
-12115
What is bac (base 14) in base 5?
33213
111110110110011 (base 2) to base 4
13312303
What is -1098 (base 15) in base 8?
-6676
What is -111001120 (base 3) in base 12?
-5613
-1b3 (base 16) to base 11
-366
-334 (base 10) to base 2
-101001110
16276 (base 10) to base 13
7540
Convert 971 (base 12) to base 16.
565
Convert 21014 (base 11) to base 3.
1120000101
Convert 614 (base 16) to base 2.
11000010100
Convert 310111 (base 4) to base 7.
12523
Convert -602 (base 11) to base 14.
-3a0
-1130 (base 4) to base 2
-1011100
26804 (base 10) to base 2
110100010110100
-683 (base 11) to base 9
-1107
22ca (base 14) to base 13
29b0
1690 (base 14) to base 6
30422
What is 210223 (base 5) in base 7?
26141
3627 (base 14) to base 3
110221202
Convert 11100 (base 7) to base 15.
c63
What is -23417 (base 9) in base 8?
-36441
What is 21432 (base 6) in base 2?
101110011100
50b3 (base 12) to base 6
104343
What is 1034 (base 9) in base 8?
1370
-13263 (base 7) to base 12
-2099
What is 1111111121 (base 3) in base 11?
20203
What is -8351 (base 10) in base 12?
-49bb
-103444 (base 6) to base 5
-233341
1010001111010111 (base 2) to base 15
c663
Convert -9762 (base 10) to base 7.
-40314
What is 10000010011111 (base 2) in base 5?
231401
Convert -a89 (base 11) to base 5.
-20212
What is 2021 (base 3) in base 9?
67
What is -15c (base 15) in base 3?
-102120
What is 8024 (base 10) in base 16?
1f58
What is 10101010110 (base 2) in base 7?
3661
What is 33313 (base 4) in base 3?
1101121
What is 8b71 (base 14) in base 12?
12013
1010000001011 (base 2) to base 12
2b77
Convert 3101133 (base 4) to base 2.
11010001011111
1000111001 (base 2) to base 5
4234
Convert 7255 (base 9) to base 7.
21332
Convert d69 (base 14) to base 4.
221101
What is -1777 (base 10) in base 9?
-2384
3f3e (base 16) to base 9
24178
-97a (base 11) to base 3
-1121120
What is 105310 (base 7) in base 14?
6b40
Convert -6960 (base 10) to base 7.
-26202
626 (base 7) to base 11
266
What is -66066 (base 7) in base 8?
-40200
1020200 (base 3) to base 12
639
101001111000011 (base 2) to base 4
11033003
12210 (base 4) to base 13
264
Convert -1222202 (base 3) to base 13.
-878
Convert -110100000101000 (base 2) to base 7.
-140511
Convert -9379 (base 12) to base 8.
-37315
Convert 424 (base 14) to base 3.
1010020
Convert -1100011011 (base 2) to base 9.
-1073
-1000010001110 (base 2) to base 10
-4238
Convert -2156 (base 7) to base 8.
-1410
What is 2409 (base 12) in base 15?
12e6
What is 2200020 (base 3) in base 12?
1166
-3b0c (base 13) to base 3
-102121102
What is -95a (base 14) in base 8?
-3464
Convert 203601 (base 7) to base 16.
887a
29812 (base 11) to base 15
c7b2
What is -2001 (base 8) in base 13?
-60b
What is -10636 (base 7) in base 14?
-dc6
Convert 201414 (base 5) to base 9.
8804
10000000001100 (base 2) to base 11
6189
Convert 62b (base 12) to base 8.
1603
Convert 51421 (base 8) to base 10.
21265
What is 5011 (base 7) in base 5?
23343
Convert a95 (base 15) to base 5.
34030
120001112 (base 3) to base 7
44000
Convert -210 (base 8) to base 2.
-10001000
What is -2064 (base 11) in base 10?
-2732
Convert 1001100 (base 3) to base 13.
46b
Convert -35c (base 16) to base 11.
-712
What is -16a4 (base 15) in base 10?
-4879
What is 58b5 (base 13) in base 5?
344420
What is -320102 (base 4) in base 14?
-1454
4039 (base 12) to base 16
1b2d
1d0c (base 16) to base 12
4378
What is -2531 (base 10) in base 13?
-11c9
What is -47 (base 16) in base 15?
-4b
Convert 17866 (base 9) to base 7.
51033
What is -a342 (base 11) in base 3?
-200211010
-935 (base 15) to base 11
-1617
Convert 888 (base 10) to base 6.
4040
Convert 12221030 (base 4) to base 14.
9cba
Convert 31 (base 11) to base 10.
34
What is -fed (base 16) in base 11?
-3077
-10432 (base 9) to base 7
-26105
What is 324311 (base 5) in base 12?
659a
870 (base 11) to base 10
1045
What is -2341 (base 6) in base 12?
-3b1
What is 3210020 (base 4) in base 3?
202000202
What is 49743 (base 10) in base 2?
1100001001001111
Convert -643 (base 9) to base 10.
-525
-211124 (base 5) to base 3
-100122201
What is 17ab5 (base 13) in base 15?
d86d
What is 1111100000 (base 2) in base 3?
1100202
What is -11230 (base 4) in base 13?
-220
Convert -253 (base 15) to base 2.
-1000010000
1402 (base 7) to base 4
20131
-35b (base 13) to base 4
-21013
1f88 (base 16) to base 12
4808
What is 1409 (base 15) in base 4?
1002330
3221122 (base 4) to base 2
11101001011010
Convert -2039 (base 12) to base 6.
-24113
Convert -111011001100011 (base 2) to base 9.
-45514
What is 1101111010 (base 2) in base 15?
3e5
What is -6660 (base 16) in base 7?
-136260
Convert 2412 (base 5) to base 8.
545
Convert 341060 (base 7) to base 12.
2ab62
What is -1463 (base 13) in base 9?
-4042
Convert -1100111000 (base 2) to base 4.
-30320
-6628 (base 13) to base 5
-423410
What is -120101 (base 3) in base 6?
-1531
Convert -23532 (base 7) to base 10.
-6099
Convert -10033 (base 4) to base 12.
-1a7
Convert -4202 (base 5) to base 6.
-2320
Convert 434 (base 6) to base 5.
1131
Convert 1170 (base 8) to base 6.
2532
What is 1110000001 (base 2) in base 11?
746
What is -2444244 (base 5) in base 15?
-dd19
What is 22402 (base 8) in base 13?
440a
Convert 102145 (base 7) to base 9.
26087
-45d8 (base 16) to base 13
-81a5
Convert -1b73 (base 15) to base 12.
-3546
Convert -101001210 (base 3) to base 13.
-3456
Convert 3320 (base 6) to base 2.
1100000000
33602 (base 8) to base 15
4325
What is -537 (base 11) in base 7?
-1611
What is -8244 (base 12) in base 4?
-3131110
Convert 714 (base 14) to base 16.
56e
Convert 182 (base 16) to base 15.
1ab
12a9 (base 13) to base 12
166a
Convert 25573 (base 8) to base 15.
3471
2164 (base 7) to base 14
3db
Convert 12422 (base 8) to base 5.
133034
Convert -16564 (base 7) to base 15.
-161a
What is -36325 (base 8) in base 9?
-23323
Convert -36511 (base 9) to base 15.
-73b7
Convert 3432 (base 10) to base 5.
102212
-2101 (base 10) to base 3
-2212211
Convert -e2b8 (base 15) to base 9.
-72602
-15144 (base 11) to base 5
-1141330
Convert -3502 (base 6) to base 16.
-33e
What is -8aa0 (base 12) in base 11?
-10616
What is 40012 (base 5) in base 7?
10211
102122 (base 3) to base 6
1242
Convert -321 (base 8) to base 6.
-545
Convert 66d (base 16) to base 3.
2020221
Convert -1012033 (base 4) to base 11.
-3417
Convert 1556 (base 10) to base 16.
614
-111001111101111 (base 2) to base 5
-1422204
What is 1032 (base 4) in base 11?
71
What is -46747 (base 9) in base 10?
-31228
-8180 (base 10) to base 16
-1ff4
What is 383 (base 16) in base 2?
1110000011
Convert -1444 (base 10) to base 9.
-1874
What is 522 (base 8) in base 3?
110112
Convert 1369 (base 12) to base 14.
b61
2205 (base 6) to base 11
423
1514 (base 10) to base 16
5ea
24c0 (base 15) to base 4
1322112
-32205 (base 7) to base 5
-223432
10000000100100011 (base 2) to base 5
4101302
What is 310022 (base 4) in base 12?
1b22
Convert -111111001100 (base 2) to base 4.
-333030
What is -46910 (base 10) in base 7?
-253523
Convert 152 (base 13) to base 7.
455
What is 20011 (base 3) in base 6?
434
1210100102 (base 3) to base 12
18492
-406 (base 16) to base 8
-2006
Convert bac (base 15) to base 4.
221031
Convert -2a7 (base 13) to base 16.
-1db
15 (base 7) to base 16
c
What is -200210 (base 3) in base 15?
-23c
-1223 (base 8) to base 12
-46b
-358 (base 10) to base 9
-437
243003 (base 8) to base 14
225b5
3201 (base 4) to base 12
169
What is 10110001110001 (base 2)
|
{
"pile_set_name": "DM Mathematics"
}
|
-30583
In base 11, what is -14651451 - -15?
-14651437
In base 3, what is 11 + 101010101010100001?
101010101010100012
In base 13, what is -399c477 + 3?
-399c474
In base 11, what is -476 + 93028?
92662
In base 9, what is -35706 + -10265?
-46072
In base 3, what is 110002101100222 + -2?
110002101100220
In base 7, what is -1 - 56012024?
-56012025
In base 15, what is -5 - -11805644?
1180563e
In base 4, what is 12002 - 2120233?
-2102231
In base 8, what is 261111 + 1017?
262130
In base 7, what is 14 + -44434025?
-44434011
In base 11, what is -1a8 + 37122?
36a25
In base 16, what is -261 + -1c3599?
-1c37fa
In base 13, what is 1a83b + -55?
1a7b6
In base 7, what is -54610 + -223142?
-311052
In base 9, what is -2332402 - 3?
-2332405
In base 16, what is 3270 + -665?
2c0b
In base 13, what is 5 - -53854a1?
53854a6
In base 7, what is -33530524600 - -2?
-33530524565
In base 15, what is 212a3dc8 - -5?
212a3dcd
In base 9, what is -17 + -4063733?
-4063751
In base 6, what is -3 + 1400442414?
1400442411
In base 3, what is 20021111110022112 - 11?
20021111110022101
In base 7, what is 21 + 1315333?
1315354
In base 9, what is -11331223 + -2?
-11331225
In base 10, what is 7981 - -763?
8744
In base 13, what is -7 - -511b7b?
511b74
In base 12, what is 1633 - -34a1?
4b14
In base 11, what is -80a2691 - -2?
-80a268a
In base 14, what is 9705b0 + -4?
9705aa
In base 6, what is -255111 + 30252?
-224415
In base 3, what is -120 - -202010110000?
202010102110
In base 3, what is -20201 - 1002011102022?
-1002011200000
In base 5, what is 0 - 4443001312?
-4443001312
In base 11, what is -21605 + 603?
-21002
In base 10, what is 14655568 + 11?
14655579
In base 9, what is 25152 + -212?
24840
In base 9, what is -516586 + 264?
-516322
In base 12, what is 1 + 1972029?
197202a
In base 2, what is -100 + 1000001011111110001111011?
1000001011111110001110111
In base 14, what is 17593 - -c97?
1844a
In base 10, what is 17 + 10309238?
10309255
In base 9, what is -1600 + -13835?
-15535
In base 2, what is 10111000110 - -101001010101110000?
101001101100110110
In base 14, what is -1 + -1b5aa929?
-1b5aa92a
In base 4, what is 323022330220 + 333?
323022331213
In base 6, what is -11023232 + -12025?
-11035301
In base 4, what is 111 - 3201113030?
-3201112313
In base 4, what is 1021110 - 131033?
230011
In base 11, what is -752 + -458?
-10aa
In base 11, what is -561 - -30763?
30202
In base 13, what is -5318461 + 18?
-5318446
In base 12, what is -8727 + -30245?
-38970
In base 11, what is 1 - -83a1892?
83a1893
In base 16, what is -3a588b + -3b?
-3a58c6
In base 8, what is -5 + -1257200?
-1257205
In base 13, what is a499837 - 5?
a499832
In base 6, what is 102530543 + -3?
102530540
In base 5, what is 30 + -14443010431?
-14443010401
In base 9, what is -8 - -622143?
622134
In base 4, what is 11021301111300 - 11?
11021301111223
In base 5, what is -42 - 3130444?
-3131041
In base 7, what is -12561056 - 4?
-12561063
In base 7, what is 4660601 + -11?
4660560
In base 5, what is 431110203331 - 0?
431110203331
In base 15, what is -4 - -420272?
42026d
In base 15, what is 250d3 + -3cd2?
21301
In base 12, what is -1636 - -14b4?
-142
In base 10, what is -9773508 + -10?
-9773518
In base 14, what is 31 - -101199?
1011ca
In base 16, what is -5 + -aab8b29?
-aab8b2e
In base 11, what is -17 - 1407976?
-1407992
In base 10, what is 43465249 - 2?
43465247
In base 14, what is -23534d74 - -4?
-23534d70
In base 9, what is 772 - -281163?
282045
In base 16, what is -12 - -8851e?
8850c
In base 10, what is 3052 - -1107?
4159
In base 3, what is -10222221212111 - -1202?
-10222221210202
In base 13, what is -163a35a - -5?
-163a355
In base 9, what is 372 + 118412?
118784
In base 7, what is 21553 - -112062?
133645
In base 6, what is 5421532 - 410?
5421122
In base 8, what is -5575157454 + 4?
-5575157450
In base 3, what is 200 - -1011100211122222?
1011100211200122
In base 16, what is 36735e + 55?
3673b3
In base 12, what is 4 - 2679491?
-2679489
In base 3, what is -11021 - 221021021?
-221102112
In base 6, what is 1021203 - -1550?
1023153
In base 2, what is -1001111010 - 1011010000000101?
-1011011001111111
In base 16, what is 2a7c34 + 11?
2a7c45
In base 2, what is -100001 + -10001100001110101?
-10001100010010110
In base 4, what is 200 + 2103321230?
2103322030
In base 9, what is -3171385 + 17?
-3171367
In base 5, what is -143 + 3300242?
3300044
In base 6, what is -343451352 + -5?
-343451401
In base 5, what is -33422140 + -33?
-33422223
In base 5, what is 3433230 + 4144?
3442424
In base 16, what is 5b + -7b32?
-7ad7
In base 14, what is -4294747 - 4?
-429474b
In base 2, what is -1111000 + -101010011101000?
-101010101100000
In base 13, what is 408263c + 2?
4082641
In base 2, what is 1101101 + 11011100110010110100?
11011100110100100001
In base 9, what is -20141526 + 5?
-20141521
In base 6, what is -133 - -241034223?
241034050
In base 14, what is -56403bc + 2?
-56403ba
In base 8, what is 4 + -6730434?
-6730430
In base 4, what is 3211 + -13023213?
-13020002
In base 11, what is -683a3 + -2362?
-6a755
In base 11, what is -5 - 5623439?
-5623443
In base 10, what is 133891 - -178?
134069
In base 13, what is -5 + -2a1321?
-2a1326
In base 2, what is 11001110 - -101101101110010111?
101101110001100101
In base 11, what is -918360 + 1?
-91835a
In base 7, what is 15 - -3240331?
3240346
In base 13, what is -a + -465883?
-465890
In base 8, what is 636546433 + 4?
636546437
In base 14, what is 76 - -13d46?
13dbc
In base 16, what is 562a6 - 377?
55f2f
In base 12, what is 5a + 10b83?
11021
In base 16, what is c - -a18939?
a18945
In base 10, what is 26089837 + -2?
26089835
In base 7, what is 260350332 + 15?
260350350
In base 13, what is -4 - 62a3a0b?
-62a3a12
In base 12, what is -9286 + -2471a?
-319a4
In base 4, what is -1320112101 - -23?
-1320112012
In base 9, what is -4821 - 3001?
-7822
In base 10, what is 38859977 + -15?
38859962
In base 4, what is -311011131230 + 2?
-311011131222
In base 11, what is -647a488 - 5?
-647a492
In base 6, what is 12 + -2303235553?
-2303235541
In base 15, what is -78b3aec + -6?
-78b3b03
In base 15, what is -24ac4 - 11b?
-24be0
In base 11, what is 22a78 + 627?
235a4
In base 12, what is -5 + -2862963a?
-28629643
In base 6, what is 245 + 5344105?
5344354
In base 9, what is -2 + 136331802?
136331800
In base 9, what is 64115140 + -2?
64115137
In base 12, what is -11bb865 - -1?
-11bb864
In base 2, what is 1 + -1000001111110100110010110?
-1000001111110100110010101
In base 3, what is -120010 - 1121110202?
-1122000212
In base 12, what is 1 + -806434?
-806433
In base 2, what is 10 + -1101100011000101111111001?
-1101100011000101111110111
In base 16, what is -1f4a90c + -2?
-1f4a90e
In base 6, what is -12040 + 1152424?
1140344
In base 3, what is -22011102212112 - -2012?
-22011102210100
In base 12, what is 480a9881 + -2?
480a987b
In base 16, what is -8e8 - 4c08?
-54f0
In base 14, what is -7 + d6d98?
d6d91
In base 15, what is -2a344 - -37?
-2a30c
In base 3, what is 110211 + 121022110?
121210021
In base 15, what is 3a - d2bc?
-d282
In base 7, what is -4 + 111066012?
111066005
In base 4, what is -130 - 221111113212?
-221111120002
In base 13, what is -252319 - -15c?
-25218a
In base 9, what is 2112450 - -15?
2112465
In base 2, what is -110100101001111001 - -111111100?
-110100100001111101
In base 15, what is -24919c - -3?
-249199
In base 10, what is 1399854 + -54?
1399800
In base 4, what is 1 - 223231012?
-223231011
In base 11, what is -5 - 29947037?
-29947041
In base 7, what is 5 - 45553551?
-45553543
In base 15, what is -5 + ab6993?
ab698d
In base 5, what is 1122021404 + 3?
1122021412
In base 4, what is 20013 + 1212030102?
1212110121
In base 16, what is -4e70f3 + -4?
-4e70f7
In base 9, what is 4648 + 656?
5415
In base 5, what is 4414412403 + 10?
4414412413
In base 12, what is -1b - 676a477?
-676a496
In base 15, what is d3e8970 - -2?
d3e8972
In base 10, what is -273 + -59485?
-59758
In base 5, what is 101141 - 1131400?
-1030204
In base 15, what is 2b705 - c1?
2b634
In base 14, what is -325 - 341?
-666
In base 9, what is 2 - -11143844?
11143846
In base 16, what is -4 + -ccf398?
-ccf39c
In base 6, what is 31211424 - -1?
31211425
In base 5, what is 1222 - 143433342?
-143432120
In base 8, what is -7 + 105644764?
105644755
In base 9, what is -653 - -262545?
261782
In bas
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of -22/9 and q.
63
Let w = 3757901745001/5580 + -673459099. Let t = 4/1395 - w. Calculate the common denominator of (-1)/(-16)*(-484)/(-10) and t.
120
Let t(h) = h**3 + 6*h**2 - h + 5. Let y be t(-6). Find the common denominator of (8/(-32))/(7/(-15)) and 0 + (286/12)/y.
84
Let f(i) = -2*i**2 + 9*i - 5. What is the lowest common multiple of f(3) and 200?
200
Suppose -7*u + 486 - 318 = 0. What is the smallest common multiple of 284 and u?
1704
Find the common denominator of (-990)/(-252) - (4 - -3) and 109/18.
126
Suppose -6*u = u + 49. Let c = u + 17. What is the smallest common multiple of c and 6?
30
Suppose -5*x + 2*d + 46 = 0, 4*x - 36 = 6*d - 4*d. What is the smallest common multiple of 2 and x?
10
Suppose -59 - 7 = -2*z. Suppose -4*h + 6*h = -4*t + 90, 3*h + 9 = 0. What is the lowest common multiple of t and z?
264
Suppose -2*l - 3*d + 316 = 921, 0 = 4*d - 12. Let q = -153 - l. Calculate the common denominator of (-1 + 0)*721/q and -85/8.
88
Suppose 75*q - 110 = 64*q. What is the least common multiple of q and 15?
30
Suppose -4*p = l + 7, 0*l + 4*p - 21 = 3*l. Let m(o) = o**2 + o + 2. Let w be m(-4). Calculate the least common multiple of 22 and ((-22)/2)/(l/w).
22
Suppose 14 = -3*g + 26. What is the least common multiple of 40 and g?
40
Let r = 116483/570 - 3910/19. Let g = -5939 + 83201/14. Calculate the common denominator of r and g.
210
Suppose 3*v - 26 = 5*v. Let b = 27 + v. Calculate the common denominator of (-7)/b*(-114)/(-5) and -57/5.
5
Let r = 37782 + -1586995/42. Find the common denominator of r and 64/3.
42
Let j be 4/(-14) + (-858)/(-14). Suppose -5*a + 113 = -0*g - 3*g, 0 = 3*a + 5*g - j. What is the smallest common multiple of 0 + -6 - -4 - -14 and a?
132
Calculate the lowest common multiple of (-2)/((-3)/12 - 0) and 122.
488
Suppose 2*u - 13*f + 9*f + 14 = 0, -3*u - 4*f + 19 = 0. Calculate the lowest common multiple of 365 and u.
365
Let q = -16113/7 + 35142467/15267. Let z = q - -141749/17448. Calculate the common denominator of -31/9 and z.
72
Let w = -302 - -306. Suppose -5*f = 2*k + 41, -4*k = -2*k - 5*f - 9. Let j = 16 + k. Calculate the lowest common multiple of w and j.
8
Let y(k) = k**3 + 8*k**2 - k - 5. Let d be y(-8). Suppose d*m + 0*m + 40 = i, 5*m + 70 = i. What is the least common multiple of 2 and (-7)/(m/(-10) + -2)?
14
Suppose -9*x = -20*x + 121. What is the least common multiple of 86 and x?
946
Let p = 608 - 603. What is the lowest common multiple of p and 212?
1060
Suppose 4*t + t - 13 = 4*m, 4*m = -5*t - 3. Suppose d - t = -2, 5*d + 265 = 5*o. What is the smallest common multiple of 6 and o?
156
Let r = 1/140 - 1331/140. What is the common denominator of 35/38 and r?
38
Suppose -2 = -0*t + t. Suppose -6 = 3*g - 9. What is the least common multiple of 8 and (9 + -10)/(g/t)?
8
Let x(t) = 10*t - 2. Suppose -3*j - 4*f = -0*j - 30, 12 = 4*f. Let o(a) = 4*a - 10. Calculate the smallest common multiple of x(2) and o(j).
126
What is the common denominator of (-400)/560 + (-2806)/(-1008) and 79/252?
504
Suppose -2*b = 1 + 1, 0 = 2*r + 3*b - 1. What is the lowest common multiple of ((-1)/r)/(9/(-36)) and 2?
2
Let n = -1 - -104. What is the common denominator of -69/20 and (1/(-16)*n)/((-21)/28)?
60
Suppose 780 = -8*j - 5*j. Let s = j - -69. What is the smallest common multiple of 2 and s?
18
Suppose -3*r = 2*f - 4, -2*r + 6*r + 5*f = 17. Let l be (-5 - 3)/(r/36). Find the common denominator of -57/2 and ((-2)/46)/(9/l).
46
Let g(o) = o**2 + 16*o + 8. Let d be g(-13). Let h be 4*-9*2/3. Let q = h - d. Calculate the lowest common multiple of 6 and q.
42
Suppose -z = 4*l - 99, 0*l - 2*l = -5*z - 33. What is the lowest common multiple of 28 and l?
168
Let y = 2353/22 - 107. Let b = y - -263/462. Find the common denominator of -91/30 and b.
210
Let v = -430 - -504. Calculate the lowest common multiple of v and 7.
518
Let q(b) = b**3 - 6*b**2 + 8*b - 6. Let m be q(4). Let i be ((-2110)/(-132))/(m/34). Let w = 942/11 + i. Find the common denominator of 59/20 and w.
180
Let u(p) = p**3 + 2*p**2 - 14*p - 10. Let b be (-48)/(-64) - 38/8. Calculate the least common multiple of u(b) and 12.
84
Suppose 4*z = 3*v - 2*v - 29, 0 = 3*v - 3*z - 132. Suppose -c - 45 = -v. What is the lowest common multiple of 8 and c?
8
Suppose 0 = h - k, -h - 12 = -0*h - 4*k. Suppose 0 = -h*o + 2*m + 30, 5*m - 37 = -6*o + 2*o. What is the least common multiple of o and 4?
8
What is the common denominator of (-9 - (-310)/35)/((-2)/(-15)) and -25/64?
448
Suppose -3*o + 0*v + 34 = v, -o + 14 = -v. Let g = o - 9. What is the least common multiple of 139 and g?
417
Calculate the common denominator of -89/20 and ((-3)/(-375)*-2)/(25/(-1625)).
100
Let z = 6140 + -61501/10. Let h = -4839 + 77455/16. What is the common denominator of h and z?
80
Let z(i) = 9*i**2 - 15*i - 2. What is the lowest common multiple of 16 and z(-2)?
64
Suppose 2*o + 5 = 3*o. Let v be 0 + (o + 3)*5. Let x = -20 + v. What is the least common multiple of 20 and x?
20
Suppose 40 = -2*h + 6*h. Suppose 2*u - 3*u = -h. What is the smallest common multiple of 12 and u?
60
Let d be -3 - (-1)/(30591/33936). Let t = d + 2/1133. Let r = 282 + -631/2. Find the common denominator of t and r.
18
Let u = -262 + 265. Suppose 2 = -d + 3. What is the lowest common multiple of d and u?
3
Let s(b) = -6*b - 4. Let d be s(-1). Suppose 0*u + 44 = 5*u + d*r, -4*r = -8. What is the least common multiple of 4 and u?
8
What is the least common multiple of ((-24)/(-40)*(-10)/3)/(0 + -1) and (-1 + 0 - -1) + 16?
16
Suppose -240 = -3*y - 5*t + 395, -y - 4*t = -200. Calculate the least common multiple of 132 and y.
660
Let a be 29/(-3)*(4 + -1 + -6). Suppose 5*g - 75 = 4*v, -4*g - 2*v = v - a. What is the lowest common multiple of 8 and g?
88
Suppose o = 4*l - 436, -4*l + 49*o = 44*o - 420. What is the least common multiple of 20 and l?
220
Let d be (-9795934)/(-5) - 2/(-10). Let m = 11799745/6 - d. Let c = m + -7420. Find the common denominator of 83/10 and c.
30
Suppose -8*a = -3*a + 83380. Let d = 200225/12 + a. What is the common denominator of 73/2 and d?
12
Suppose 0 = y - 0 - 4. Let c be -1 - y/(-24)*9727. Let k = 1606 - c. Find the common denominator of -65/3 and k.
6
Suppose -c - c = 4*x - 14, 2*c - 3*x - 35 = 0. Let o = c - 10. Let y = 2 + 1. What is the smallest common multiple of y and o?
3
Let y(c) = -c**3 + 5*c**2 + 9. Suppose 4*t + 14 - 33 = -h, 3 = t + 2*h. What is the least common multiple of 1 and y(t)?
9
Let c = 341 + -281. What is the least common multiple of c and 40?
120
Suppose -c + 2*g + 10 = -16, -12 = 4*g. Suppose 0 = -5*s + 4*s + 27. Suppose 0 = 2*w - 13 - s. Calculate the lowest common multiple of c and w.
20
Let n be 36*3/(36/640). Suppose 2*v + 3*m - n = 0, m + 0*m = 5*v - 4783. Let u = v - 19119/20. What is the common denominator of u and 87/14?
140
Let u be (-370)/3 + (-3)/(-9). Let g = 4 + -15. Find the common denominator of u/(-24) - (-5 - -3) and g.
8
Let n(p) = 4*p**2 + 41*p + 25. Suppose 5*a + 2*k = 58, 0 = 3*k - 10 - 2. What is the smallest common multiple of a and n(-11)?
290
Let s = -18661/18 + 1039. Let z = -3/77 + 1159/2079. Calculate the common denominator of s and z.
54
Let w = -30/529 + 34486/11109. Calculate the common denominator of w and 47/36.
252
Suppose 3*o + 5 - 11 = 0. Suppose 0 = o*h + 17 + 15. Find the common denominator of (-47)/h - (-3 - -2) and -41/8.
16
Suppose 2*r = 3*r - 16. Suppose 0*w = -w - 3*o + 20, -w = o - r. What is the smallest common multiple of w and 8?
56
Let d = 21215 + -912296/43. Find the common denominator of 11/3 and d.
129
Suppose 0 = -4*q - 2 - 6. Calculate the common denominator of (-354)/44 - -1 - q and (-768)/2112 + 109/(-154).
154
Let d = 2/16205 - 136589/32410. Find the common denominator of 1/270 and d.
1890
What is the least common multiple of 5 and 330 - 29 - (-3 - -2)/1?
1510
Let r be 4/(-10) + 51291/(-60). Let k = r - -2531/3. Let v = -3/2683 - 340723/16098. Calculate the common denominator of v and k.
12
Suppose 34 = 4*f - 2*m, f + 3*m + 2 + 0 = 0. Suppose 30 = f*h - 2*h. What is the lowest common multiple of (-4)/(-6) - 192/(-9) and h?
66
Let l(v) = -v**3 + 6*v**2 - 12*v + 32. Calculate the least common multiple of 268 and l(4).
1072
Let s = -115047/416312 + -10/4003. Find the common denominator o
|
{
"pile_set_name": "DM Mathematics"
}
|
69 rounded to the nearest one hundred?
11904700
Round 0.0004062916 to six decimal places.
0.000406
What is -0.169080897 rounded to 3 decimal places?
-0.169
Round -0.0000154902094 to six decimal places.
-0.000015
What is -3184779.9 rounded to the nearest ten thousand?
-3180000
What is 401287270 rounded to the nearest one million?
401000000
What is -19.9380723 rounded to one decimal place?
-19.9
What is -0.00771285458 rounded to six dps?
-0.007713
What is -0.00006470074935 rounded to 7 decimal places?
-0.0000647
Round 0.000001440233986 to seven decimal places.
0.0000014
Round 9776419.2 to the nearest one million.
10000000
What is 37.6502076 rounded to the nearest ten?
40
Round -294.788794 to the nearest 10.
-290
Round 1186333500 to the nearest 100000.
1186300000
Round 155778.47708 to the nearest 10.
155780
What is -0.2148547878 rounded to five dps?
-0.21485
What is 1015.32795 rounded to the nearest ten?
1020
What is 655322.3234 rounded to the nearest 1000?
655000
Round 23.2971051 to one decimal place.
23.3
What is 2.608574959 rounded to 2 decimal places?
2.61
Round -188.604783 to one dp.
-188.6
Round 0.00211176043 to seven decimal places.
0.0021118
Round -568.909012 to the nearest integer.
-569
What is -1266.4701 rounded to the nearest 10?
-1270
What is 19.827221 rounded to 1 decimal place?
19.8
What is -0.00060676931 rounded to six dps?
-0.000607
What is 0.00937491293 rounded to six dps?
0.009375
Round -107.8028399 to the nearest ten.
-110
Round 0.0001845610065 to 7 decimal places.
0.0001846
Round 876018.88 to the nearest 100000.
900000
What is -0.0170767014 rounded to three dps?
-0.017
Round -0.00000104069007 to seven dps.
-0.000001
What is 460.115361 rounded to the nearest integer?
460
Round 0.000000165492894 to seven dps.
0.0000002
Round -291762.8925 to the nearest one hundred thousand.
-300000
Round 264339430 to the nearest one million.
264000000
What is -306697.5221 rounded to the nearest one hundred?
-306700
What is -5.6047684 rounded to 2 decimal places?
-5.6
Round 3665169.82 to the nearest one thousand.
3665000
Round -1888322210 to the nearest one million.
-1888000000
What is 4.545962 rounded to zero dps?
5
Round -204.2399514 to 2 decimal places.
-204.24
Round 0.4448766671 to 3 dps.
0.445
What is 16.83957783 rounded to the nearest integer?
17
What is 0.0010507087 rounded to three dps?
0.001
What is -0.173754412 rounded to two decimal places?
-0.17
Round 1.7853005262 to 3 dps.
1.785
Round -161440254.2 to the nearest 10000.
-161440000
What is -7042468.437 rounded to the nearest one hundred thousand?
-7000000
What is -0.0041488982 rounded to four decimal places?
-0.0041
What is 2695.82162 rounded to the nearest 10?
2700
What is -0.00361418134 rounded to 6 decimal places?
-0.003614
What is 7.1922303 rounded to 2 decimal places?
7.19
Round -0.70037564 to 2 decimal places.
-0.7
Round -1707826610 to the nearest one hundred thousand.
-1707800000
What is 391082.3 rounded to the nearest one hundred thousand?
400000
Round -17797513.46 to the nearest 1000.
-17798000
Round 748173899 to the nearest one hundred thousand.
748200000
What is 1052588727 rounded to the nearest 1000000?
1053000000
Round -436113594.9 to the nearest 1000000.
-436000000
What is 2.9143557 rounded to 3 decimal places?
2.914
Round -0.38369082 to 1 dp.
-0.4
Round 299631.371 to the nearest 10000.
300000
Round -620522.549 to the nearest one hundred thousand.
-600000
Round 0.0002247688498 to six decimal places.
0.000225
What is 0.00016112177 rounded to five decimal places?
0.00016
Round -9622186.75 to the nearest one hundred thousand.
-9600000
Round 2444.07143 to the nearest 100.
2400
What is -12144488.11 rounded to the nearest 10000?
-12140000
Round 17079.96077 to the nearest one thousand.
17000
What is 0.0673233152 rounded to three dps?
0.067
Round -0.0000009750461 to seven decimal places.
-0.000001
Round -0.0000007987292 to seven dps.
-0.0000008
Round 1541.60765 to the nearest one hundred.
1500
Round -24.3199 to the nearest integer.
-24
What is -0.00004168221714 rounded to six decimal places?
-0.000042
Round -170.41669 to the nearest ten.
-170
What is -3915641820 rounded to the nearest one million?
-3916000000
Round 5621407400 to the nearest 1000000.
5621000000
What is 15152735490 rounded to the nearest 1000000?
15153000000
Round -725655.25 to the nearest one hundred thousand.
-700000
Round -488.79816 to 0 dps.
-489
What is -6690.288392 rounded to 1 dp?
-6690.3
Round 2.42202738 to three decimal places.
2.422
Round -1959174200 to the nearest one million.
-1959000000
What is -0.385050303 rounded to one dp?
-0.4
What is -0.000000845179368 rounded to 7 dps?
-0.0000008
Round -0.47103336 to 3 decimal places.
-0.471
Round -71.5522781 to 0 dps.
-72
What is -0.000003158040584 rounded to seven dps?
-0.0000032
Round 2300800.671 to the nearest one hundred.
2300800
Round -19200911.7 to the nearest 1000.
-19201000
Round 0.000017744533 to four decimal places.
0
What is -0.058840449 rounded to three dps?
-0.059
What is 0.012555817485 rounded to six decimal places?
0.012556
What is 10096563.84 rounded to the nearest 1000?
10097000
Round -128968.751 to the nearest one hundred thousand.
-100000
What is -6.1441466 rounded to 2 dps?
-6.14
Round 0.5103761 to four dps.
0.5104
Round -386.93207 to the nearest one thousand.
0
Round -4001.5042 to the nearest integer.
-4002
Round 0.81634914 to 1 decimal place.
0.8
What is 2.02562085 rounded to 1 dp?
2
What is -21069675 rounded to the nearest 100000?
-21100000
What is -0.000087280959 rounded to seven decimal places?
-0.0000873
What is 0.000871051974 rounded to seven decimal places?
0.0008711
Round -890.84725 to the nearest 100.
-900
What is 10.4868292 rounded to zero decimal places?
10
Round 6144.33209 to the nearest ten.
6140
Round 46358.5423 to the nearest 100.
46400
What is 0.00712193 rounded to three dps?
0.007
What is -2.95709364 rounded to one dp?
-3
Round -0.0000603665263 to seven decimal places.
-0.0000604
What is -0.00000000040096 rounded to seven dps?
0
What is -1014.0420133 rounded to 2 decimal places?
-1014.04
What is -0.0053573311 rounded to 5 decimal places?
-0.00536
What is 2835376.05 rounded to the nearest one hundred thousand?
2800000
What is -98310433.82 rounded to the nearest one thousand?
-98310000
Round 0.6418403 to 2 dps.
0.64
What is -42740.32347 rounded to the nearest one thousand?
-43000
Round 4339478.6 to the nearest 1000.
4339000
Round 13.1500594 to the nearest integer.
13
What is 1.35350784 rounded to two dps?
1.35
Round -267747.4939 to the nearest ten.
-267750
What is -379189.448 rounded to the nearest 10000?
-380000
What is -8941.419787 rounded to 1 dp?
-8941.4
Round -0.29791304 to 4 dps.
-0.2979
Round -9053.40116 to the nearest one thousand.
-9000
Round -135.19229277 to three decimal places.
-135.192
Round 15.375247 to one decimal place.
15.4
What is -2.6544607 rounded to 1 dp?
-2.7
Round -0.00015942484652 to seven dps.
-0.0001594
Round 0.052603654 to 2 decimal places.
0.05
Round 28.7263014 to three decimal places.
28.726
What is 2796092.638 rounded to the nearest one hundred?
2796100
What is -12.68371225 rounded to the nearest integer?
-13
What is -0.000027543051 rounded to 6 decimal places?
-0.000028
What is -2002566940 rounded to the nearest ten thousand?
-2002570000
What is -0.00000012243716 rounded to seven decimal places?
-0.0000001
What is -484680.4773 rounded to the nearest ten?
-484680
What is -0.09622973338 rounded to 4 dps?
-0.0962
What is 2590575.71 rounded to the nearest 100?
2590600
Round -99791358.74 to the nearest 1000000.
-100000000
What is 1.14301175 rounded to four dps?
1.143
Round 29646.19447 to 0 dps.
29646
Round 105917127 to the nearest one million.
106000000
Round -23229.312 to the nearest ten thousand.
-20000
What is 1439027.505 rounded to the nearest 100000?
1400000
What is 2.30136072 rounded to four dps?
2.3014
What is -0.010160625536 rounded to 6 decimal places?
-0.010161
Round 0.12436746951 to 4 dps.
0.1244
What is 223826388 rounded to the nearest ten thousand?
223830000
What is 10489362.3 rounded to the nearest one hundred thousand?
10500000
What is 0.000002598854166 rounded to seven decimal places?
0.0000026
What is -3115234.2 rounded to the nearest 1000000?
-3000000
What is 0.5245795 rounded t
|
{
"pile_set_name": "DM Mathematics"
}
|
- 37*y.
y*(y - 2)*(y + 37)/2
Determine o, given that -4*o**2 - 244*o - 696 = 0.
-58, -3
Suppose -2*y**3 + 148*y**2 - 678*y - 828 = 0. Calculate y.
-1, 6, 69
Factor -4*y**4 + 72*y**3 - 244*y**2 - 720*y - 400.
-4*(y - 10)**2*(y + 1)**2
Determine n, given that -n**5/2 + 2*n**4/3 + 7*n**3/6 - 2*n**2/3 - 2*n/3 = 0.
-1, -2/3, 0, 1, 2
Find q such that -2*q**5 + 13*q**4 - 9*q**3 - 40*q**2 - 16*q = 0.
-1, -1/2, 0, 4
Factor 2*w**4 + 126*w**3 + 120*w**2 - 248*w.
2*w*(w - 1)*(w + 2)*(w + 62)
Factor 2*f**2/7 + 36*f/7 + 144/7.
2*(f + 6)*(f + 12)/7
Determine z, given that -z**2 + 294*z + 1192 = 0.
-4, 298
Suppose f**4/6 - 4*f**3/3 - 3*f**2/2 = 0. What is f?
-1, 0, 9
Factor -3*r**4/2 - 12*r**3 - 27*r**2 + 81/2.
-3*(r - 1)*(r + 3)**3/2
Determine z, given that -z**2 + 9 = 0.
-3, 3
Solve -2*s**4/7 + 26*s**2/7 + 24*s/7 = 0.
-3, -1, 0, 4
Factor -200*r**3/9 - 40*r**2 + 26*r/3 - 4/9.
-2*(r + 2)*(10*r - 1)**2/9
Determine t so that -2*t**4 + 4*t**3 + 6*t**2 - 8*t - 8 = 0.
-1, 2
Factor b**5/4 - 2*b**4 - 5*b**3/2 + 2*b**2 + 9*b/4.
b*(b - 9)*(b - 1)*(b + 1)**2/4
Factor -2*f**2 - 324*f - 2754.
-2*(f + 9)*(f + 153)
What is r in 2*r**2/5 - 6*r/5 + 4/5 = 0?
1, 2
Factor -k**5/4 + 43*k**4/4 + 46*k**3 + 47*k**2.
-k**2*(k - 47)*(k + 2)**2/4
Factor 2*s**2 + 9*s/2 - 9/2.
(s + 3)*(4*s - 3)/2
Let -y**5 - 6*y**4 + 20*y**3 + 90*y**2 - 19*y - 84 = 0. Calculate y.
-7, -3, -1, 1, 4
Factor 5*n**3 + 475*n**2 - 13560*n + 85680.
5*(n - 12)**2*(n + 119)
Determine d, given that -42483*d**3/4 - 43911*d**2/4 - 360*d - 3 = 0.
-1, -2/119
What is s in 3*s**2/7 - 471*s/7 = 0?
0, 157
What is x in 3*x**5/7 - 3*x**4 - 255*x**3/7 - 555*x**2/7 + 72*x/7 + 108 = 0?
-3, -2, 1, 14
Find g such that g**3/5 + 63*g**2/5 + 192*g - 1024/5 = 0.
-32, 1
Suppose -2*s**3/13 - 2*s**2 + 28*s/13 = 0. What is s?
-14, 0, 1
Determine u, given that -4*u**2 + 444*u - 872 = 0.
2, 109
Find o, given that -8*o**4/9 - 158*o**3/9 - 56*o**2 - 376*o/9 + 128/9 = 0.
-16, -2, 1/4
Factor 2*a**2/11 + 8*a/11 + 8/11.
2*(a + 2)**2/11
Factor 3*g**3/4 + 48*g**2 - 99*g.
3*g*(g - 2)*(g + 66)/4
Determine z so that -2*z**4/17 + 2*z**3/17 + 80*z**2/17 - 224*z/17 = 0.
-7, 0, 4
Factor 4*m**5 + 276*m**4 + 4332*m**3 - 14692*m**2 + 15264*m - 5184.
4*(m - 1)**3*(m + 36)**2
Factor -h**2/7 + 295*h/7 + 594/7.
-(h - 297)*(h + 2)/7
Let 1510*r**3 + 3025*r**2 + 1520*r + 5 = 0. Calculate r.
-1, -1/302
Factor o**2 + 192*o + 9216.
(o + 96)**2
Factor -4*o**4/5 - 12*o**3/5 + 24*o**2/5 + 32*o/5.
-4*o*(o - 2)*(o + 1)*(o + 4)/5
Determine f so that 4*f**5 + 8*f**4 - 8*f**3 - 16*f**2 + 4*f + 8 = 0.
-2, -1, 1
Determine z, given that -z**3/3 + 2*z**2/3 - z/3 = 0.
0, 1
Solve -c**4/4 - 33*c**3/2 - 363*c**2 - 2662*c = 0.
-22, 0
Factor 3*x**3/8 - 21*x**2/4 - 51*x/2 - 27.
3*(x - 18)*(x + 2)**2/8
Find p, given that 4*p**4/5 - 2*p**3 - 168*p**2/5 - 74*p/5 + 16 = 0.
-5, -1, 1/2, 8
Suppose 5*a**3 + 520*a**2 + 7625*a - 334890 = 0. What is a?
-61, 18
Suppose -3*w**5/8 - 93*w**4/8 - 885*w**3/8 - 1827*w**2/8 + 837*w - 486 = 0. What is w?
-12, -9, 1
Determine j so that -j**3/7 - 15*j**2/7 - 23*j/7 + 39/7 = 0.
-13, -3, 1
Suppose 5*v**3 - 215*v**2 = 0. What is v?
0, 43
Factor -9*u**4 + 200*u**3 - 1304*u**2 + 2080*u - 400.
-(u - 10)**2*(u - 2)*(9*u - 2)
Factor 2*o**3 + 690*o**2/7 - 176*o - 408/7.
2*(o - 2)*(o + 51)*(7*o + 2)/7
Factor 3*g**2 + 384*g + 12288.
3*(g + 64)**2
Find s, given that 2*s**2/7 + 130*s/7 + 128/7 = 0.
-64, -1
Factor 28*f**4 + 272*f**3 + 704*f**2 + 448*f - 192.
4*(f + 2)**2*(f + 6)*(7*f - 2)
What is p in -475*p**2/6 - 44*p/3 - 2/3 = 0?
-2/19, -2/25
Factor -4*f**5/5 + 4*f**4/5 + 8*f**3/5.
-4*f**3*(f - 2)*(f + 1)/5
Factor 361*v**2/10 + 399*v/5 + 441/10.
(19*v + 21)**2/10
Factor 3*w**4/4.
3*w**4/4
Factor f**4/3 + 2*f**3 + 8*f**2/3.
f**2*(f + 2)*(f + 4)/3
Solve -3*j**3/4 + 12*j**2 - 45*j/4 = 0.
0, 1, 15
Factor 5*w**3 - 180*w**2 + 2025*w - 6750.
5*(w - 15)**2*(w - 6)
Factor -k**2 + 397*k - 396.
-(k - 396)*(k - 1)
Solve -f**4/5 + 17*f**3/5 - 42*f**2/5 - 52*f - 40 = 0.
-2, -1, 10
Let 10*m**5 - 22*m**4 + 28*m**3/5 + 92*m**2/5 - 78*m/5 + 18/5 = 0. Calculate m.
-1, 3/5, 1
Find o, given that 35*o**4 - 80*o**3 + 55*o**2 - 10*o = 0.
0, 2/7, 1
Factor 2*c**3 + 8*c**2 + 2*c - 12.
2*(c - 1)*(c + 2)*(c + 3)
Let w**4/2 + 19*w**3/2 + 125*w**2/2 + 329*w/2 + 147 = 0. What is w?
-7, -3, -2
Solve 7*y**2/2 - 23*y/2 + 3 = 0.
2/7, 3
What is f in -4*f**5 - 28*f**4 - 52*f**3 + 12*f**2 + 72*f = 0?
-3, -2, 0, 1
Let -2*x**4 + 176*x**3 - 3690*x**2 - 8100*x = 0. Calculate x.
-2, 0, 45
Find l such that 8*l**4 + 84*l**3 + 116*l**2 - 336*l + 128 = 0.
-8, -4, 1/2, 1
Factor -3*x**3 - 702*x**2 - 2772*x - 2760.
-3*(x + 2)**2*(x + 230)
Factor w**5 + 27*w**4 + 115*w**3 - 291*w**2 - 1160*w + 2100.
(w - 2)**2*(w + 5)**2*(w + 21)
Factor -y**5/2 + 7*y**4 - 73*y**3/2 + 86*y**2 - 88*y + 32.
-(y - 4)**3*(y - 1)**2/2
Factor -m**3 + 13*m**2 - 12*m.
-m*(m - 12)*(m - 1)
Factor -3*z**3/5 + 171*z**2/5 - 504*z + 2352/5.
-3*(z - 28)**2*(z - 1)/5
Suppose -50*p**5 - 465*p**4/2 - 385*p**3 - 565*p**2/2 - 90*p - 10 = 0. Calculate p.
-2, -1, -2/5, -1/4
Let 2*l**2/21 + 1880*l/21 - 1882/21 = 0. Calculate l.
-941, 1
Suppose -4*r**4 + 3*r**3 + 21*r**2 + 17*r + 3 = 0. What is r?
-1, -1/4, 3
Suppose -4*v**4 + 12*v**3 - 8*v**2 = 0. What is v?
0, 1, 2
Suppose -5*x**2 - 40*x = 0. Calculate x.
-8, 0
Factor -g**2/2 - 27*g/2.
-g*(g + 27)/2
What is u in 3*u**2 - 156*u + 705 = 0?
5, 47
Find x, given that 99*x**3/7 + 192*x**2/7 - 12*x/7 = 0.
-2, 0, 2/33
Find k such that -k**5/2 - 2*k**4 - k**3 + 2*k**2 + 3*k/2 = 0.
-3, -1, 0, 1
Factor -2*h**4 + 26*h**3 - 24*h**2.
-2*h**2*(h - 12)*(h - 1)
Solve 5202*t**2/11 - 408*t/11 + 8/11 = 0 for t.
2/51
Determine o so that 15*o**5 + 144*o**4 + 180*o**3 - 96*o**2 = 0.
-8, -2, 0, 2/5
Solve 2*g**4 + 1776*g**3 - 6*g**2 - 5324*g + 3552 = 0 for g.
-888, -2, 1
What is n in 9*n**4 - 879*n**3 - 3003*n**2 - 2721*n - 606 = 0?
-2, -1, -1/3, 101
Determine m, given that m**4 + m**3 - 14*m**2 - 24*m = 0.
-3, -2, 0, 4
Find f such that 4*f**2 + 16*f + 16 = 0.
-2
What is h in h**3/2 + 92*h**2 - 371*h/2 + 93 = 0?
-186, 1
Find z such that -8*z**5/5 - 4*z**4/5 + 12*z**3/5 = 0.
-3/2, 0, 1
Solve -2*w**4/9 + 376*w**3/9 - 1844*w**2/9 + 856*w/3 - 122 = 0 for w.
1, 3, 183
Find g, given that g**5/2 - 31*g**4 + 539*g**3 - 1828*g**2 + 4321*g/2 - 841 = 0.
1, 2, 29
Solve -2*r**3/11 + 52*r**2/11 - 166*r/11 - 20 = 0 for r.
-1, 5, 22
Determine f, given that -18*f**5 - 40*f**4 - 26*f**3 - 4*f**2 = 0.
-1, -2/9, 0
What is v in 3*v**5 + 21*v**4 + 42*v**3 + 24*v**2 = 0?
-4, -2, -1, 0
Factor l**5 - 5*l**4 + 3*l**3 + 5*l**2 - 4*l.
l*(l - 4)*(l - 1)**2*(l + 1)
Solve -w**4/4 - 23*w**3/4 - 85*w**2/2 - 109*w - 90 = 0.
-10, -9, -2
Factor -4*x**5 - 620*x**4 + 624*x**3.
-4*x**3*(x - 1)*(x + 156)
Determine y so that y**2/8 - 39*y/8 + 27/2 = 0.
3, 36
Suppose -3*w**4 - 57*w**3 - 219*w**2 - 99*w + 378 = 0. What is w?
-14, -3, 1
Factor 9*r**3/11 - 69*r**2/11 + 43*r/11 - 7/11.
(r - 7)*(3*r - 1)**2/11
Factor 5*l**2 - 560*l + 15680.
5*(l - 56)**2
What is a in -2*a**4/3 - 62*a**3/3 - 470*a**2/3 - 350*a = 0?
-21, -5, 0
Suppose o**5/5 + o**4/5 - 3*o**3 + 23*o**2/5 - 2*o = 0. Calculate o.
-5, 0, 1, 2
Let 5*d**2/9 + 29*d/3 + 34/9 = 0. Calculate d.
-17, -2/5
What is k in 3*k**2/8 + 57*k/8 - 15/2 = 0?
-20, 1
Find c such that 32*c**5/7 + 16*c**4 + 50*c**3/7 - 122*c**2/7 - 64*c/7 - 8/7 = 0.
-2, -1/4, 1
Solve 4*n**5 - 1576*n**4 + 156800*n**3 - 307328*n**2 = 0.
0, 2, 196
Factor 4*g**2 - 1120*g + 78400.
4*(g - 140)**2
Factor -3*s**2 + 18*s - 24.
-3*(s - 4)*(s - 2)
Factor s**2 + 19*s + 18.
(s + 1)*(s + 18)
What is g in g**3/2 - 25*g**2/2 - 53*g/2 - 27/2 = 0?
-1, 27
Let -4*a**5 + 828*a**4 - 43260*a**3 + 42436*a**2 = 0. What is a?
0, 1, 103
Factor 3*n**2/2 - 39*n/2 + 63.
3*(n - 7)*(n - 6)/2
Factor -5*p**3 - 20*p**2 - 15*p.
-5*p*(p + 1)*(p + 3)
Solve -o**2 - 67*o - 130 = 0 for o.
-65, -2
Determine w, given that -4*w**2 - 2184*w - 298116 = 0.
-273
Let 5*n**2 + 2300*n + 264500 = 0. What is n?
-230
Let -9*i**4/2 + 69*i**3/4 - 27*i**2/4 - 69*i/4 + 45/4 = 0. What is i?
-1, 5/6, 1, 3
Suppose -8*h**5 + 32*h**4 - 18*h**3 - 50*h**2 + 32*h + 24 = 0. What is h?
-1, -1/2, 3/2, 2
Factor -4*a**4 - 40*a**3 + 204*a**2 - 272*a + 112.
-4*(a - 2)*(a - 1)**2*(a + 14)
Solve h**2/10 + 197*h/5 + 38809/10 = 0.
-197
Find r such that 3*r**4 - 6*r**3 - 12*r**2 + 6*r + 9 = 0.
-1, 1, 3
Find z such that -2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of 11/457477 and -22/3968347?
170638921
What is the common denominator of -125/782802 and -47/2770?
3914010
Calculate the common denominator of 139/1386 and -35/27822.
6426882
What is the common denominator of 23/140 and -63/109599320?
767195240
What is the least common multiple of 30381975 and 135?
91145925
What is the smallest common multiple of 71380692 and 657?
5210790516
Calculate the least common multiple of 184756 and 37026.
18290844
Calculate the common denominator of 55/399 and -13/923856.
6466992
What is the common denominator of -137/510 and 113/3654150?
3654150
What is the common denominator of 1/200263 and 97/48463646?
48463646
What is the smallest common multiple of 30896 and 345328?
666828368
Calculate the lowest common multiple of 13033713 and 1861959.
13033713
Find the common denominator of 17/5844 and -93/7080980.
21242940
Calculate the common denominator of -61/105 and 7/580950.
4066650
What is the smallest common multiple of 74475954 and 10639422?
74475954
Calculate the common denominator of -51/10575422 and 16/4326309.
95178798
Calculate the least common multiple of 4795 and 5289296.
185125360
Calculate the lowest common multiple of 1016 and 512.
65024
Calculate the smallest common multiple of 524440 and 11816.
110656840
Calculate the smallest common multiple of 1330302 and 60.
13303020
Find the common denominator of 97/1870 and 133/239140.
4065380
Calculate the least common multiple of 198069 and 9270.
5942070
Calculate the common denominator of -50/7338957 and 29/81.
198151839
Calculate the smallest common multiple of 6879 and 36608.
251826432
What is the common denominator of 23/174 and -40/207537?
12037146
What is the common denominator of 6/85 and 51/6738380?
114552460
What is the smallest common multiple of 85070 and 7511681?
75116810
Calculate the least common multiple of 1888484 and 690023.
35881196
Find the common denominator of -51/35110 and 31/28088.
140440
What is the least common multiple of 798 and 209148?
27816684
Find the common denominator of 13/13333 and 3/928136.
62185112
What is the common denominator of -33/673724 and -121/19780?
77478260
Calculate the common denominator of 39/338272 and 193/28644.
7103712
Calculate the lowest common multiple of 2735436 and 9384.
5470872
What is the smallest common multiple of 2039830 and 1846?
2039830
Calculate the least common multiple of 1058752 and 25276.
94228928
Find the common denominator of 145/5551326 and 31/21624.
377490168
Calculate the common denominator of 45/2848 and 103/3646320.
649044960
What is the lowest common multiple of 17140795 and 3815?
17140795
What is the common denominator of 43/12 and 7/2072013?
8288052
Calculate the least common multiple of 79680279 and 68297382.
478081674
What is the least common multiple of 61333966 and 3386538?
552005694
Calculate the common denominator of 39/9440390 and 38/1015.
1916399170
What is the common denominator of 55/924963 and -29/4329?
2774889
What is the smallest common multiple of 711626 and 2508?
46967316
Calculate the lowest common multiple of 196 and 4602640.
32218480
What is the least common multiple of 1164512 and 50736?
24454752
What is the common denominator of -91/2072160 and -115/48212256?
723183840
Calculate the least common multiple of 378 and 2864757.
51565626
Calculate the common denominator of -50/10059 and 197/327360.
1097638080
Calculate the common denominator of 17/7303640 and 75/174556996.
1745569960
Calculate the smallest common multiple of 198 and 594315.
13074930
Calculate the common denominator of 49 and 23/35901.
35901
What is the common denominator of -23/7724 and 20/15649?
120872876
Calculate the least common multiple of 115955 and 98.
1623370
What is the common denominator of 35/279956794 and 59/286?
3079524734
Calculate the lowest common multiple of 93225 and 22057035.
110285175
What is the lowest common multiple of 405927856 and 10?
2029639280
Calculate the smallest common multiple of 14332428 and 153288.
28664856
Calculate the smallest common multiple of 2629837 and 113581.
34187881
What is the lowest common multiple of 462 and 3142248?
241953096
Calculate the smallest common multiple of 87380 and 31242719.
624854380
Calculate the common denominator of 103/2660 and 47/103600.
1968400
Find the common denominator of -17/6218 and -73/4998.
15538782
What is the common denominator of -13/23056 and -58/25545?
4495920
Calculate the smallest common multiple of 4095 and 4236505.
38128545
What is the least common multiple of 15958 and 11918?
941522
What is the smallest common multiple of 262800 and 1632?
8935200
What is the lowest common multiple of 8505531 and 12?
34022124
Calculate the smallest common multiple of 24085026 and 99780822.
698465754
Calculate the least common multiple of 2691000 and 759000.
29601000
Calculate the least common multiple of 370150 and 74030.
370150
What is the lowest common multiple of 24916974 and 716005?
124584870
Find the common denominator of 119/1476 and -107/188928.
188928
Find the common denominator of -25/1054 and 15/536176.
9114992
Calculate the common denominator of -22/745985 and -47/39537205.
39537205
Calculate the smallest common multiple of 341 and 1281819.
1281819
What is the common denominator of -51/30569 and -127/10786490?
75505430
Calculate the common denominator of -29/1539 and 27/1022314.
82807434
Calculate the smallest common multiple of 279720 and 602952.
27132840
Calculate the common denominator of 61/16134 and -4/3089661.
6179322
Find the common denominator of 28/29955 and -145/34436268.
172181340
Find the common denominator of 49/5220288 and 13/16416.
5220288
Calculate the common denominator of -17/124200 and -19/434700.
869400
What is the least common multiple of 257554 and 1802878?
1802878
What is the lowest common multiple of 5253400 and 2850?
299443800
What is the smallest common multiple of 377819832 and 48?
755639664
What is the common denominator of 70/417 and -7/34137?
4745043
What is the least common multiple of 69 and 703018?
2109054
Calculate the lowest common multiple of 302043 and 126735.
1822829505
What is the common denominator of -137/37022130 and -23/40724343?
407243430
Calculate the common denominator of 77/459 and -2/50626425.
455637825
Calculate the least common multiple of 95520 and 147425568.
737127840
Find the common denominator of -37/700 and 89/15060500.
15060500
What is the common denominator of 54/214015 and 13/1771?
16479155
Find the common denominator of -121/1575890 and 61/1260712.
6303560
What is the common denominator of 61/866781 and -199/8667810?
8667810
Find the common denominator of 106/4305 and 59/2081037.
10405185
Calculate the common denominator of 37/401562 and 1/1818.
40557762
What is the common denominator of 87/3943226 and 31/24?
47318712
What is the least common multiple of 31141331 and 42398?
62282662
What is the least common multiple of 137980 and 10?
137980
Calculate the least common multiple of 5399359 and 36252839.
253769873
Calculate the smallest common multiple of 86142 and 6739.
1981266
What is the lowest common multiple of 160888 and 1748474?
118896232
Calculate the lowest common multiple of 100 and 62056.
1551400
What is the common denominator of -59/11160 and -199/1320?
122760
What is the least common multiple of 93408 and 28356?
1587936
Calculate the least common multiple of 651552 and 50688.
31274496
Calculate the common denominator of -64/861057 and 44/243.
7749513
Calculate the lowest common multiple of 54390564 and 122378769.
489515076
What is the common denominator of -91/32608 and 59/20445216?
20445216
Calculate the common denominator of -69/2473024 and -93/640.
24730240
What is the common denominator of 173/113220 and -65/968031?
19360620
Calculate the smallest common multiple of 3187540 and 188.
3187540
Calculate the smallest common multiple of 1012344 and 2064.
87061584
What is the smallest common multiple of 2012024 and 35929?
2012024
What is the smallest common multiple of 75869150 and 666050?
834560650
Calculate the lowest common multiple of 647712 and 2374944.
7124832
What is the least common multiple of 742560 and 672?
742560
What is the smallest common multiple of 93792 and 384?
375168
Calculate the least common multiple of 115 and 170520
|
{
"pile_set_name": "DM Mathematics"
}
|
placement from oooohohoohohhoohooo. Give prob of sequence hoo.
52/323
Three letters picked without replacement from {x: 6, e: 1, r: 7, f: 2, s: 3}. Give prob of sequence esx.
1/323
What is prob of sequence ccb when three letters picked without replacement from cccb?
1/4
Three letters picked without replacement from ikikpduuudua. Give prob of sequence duk.
2/165
Three letters picked without replacement from somqsnmqqqs. Give prob of sequence mmo.
1/495
What is prob of sequence wep when three letters picked without replacement from peyeyyeeweppy?
5/572
Calculate prob of sequence zzjz when four letters picked without replacement from jjzjzjjjj.
0
Two letters picked without replacement from cocccccccocccccccc. Give prob of sequence cc.
40/51
Calculate prob of sequence hksq when four letters picked without replacement from hskvsvq.
1/420
Calculate prob of sequence xu when two letters picked without replacement from {x: 1, u: 1, o: 1}.
1/6
Three letters picked without replacement from cclnwllllllawcc. What is prob of sequence wwl?
1/195
Calculate prob of sequence fp when two letters picked without replacement from {p: 3, b: 5, f: 1}.
1/24
Two letters picked without replacement from {i: 1, t: 1, o: 3}. Give prob of sequence oo.
3/10
Two letters picked without replacement from yyksyyidd. Give prob of sequence yk.
1/18
Two letters picked without replacement from gvflvvvvflvvlvvl. Give prob of sequence ll.
1/20
Four letters picked without replacement from rjdjlnldlnjrjin. What is prob of sequence lddi?
1/5460
Calculate prob of sequence pps when three letters picked without replacement from {p: 3, s: 6, i: 1, q: 2, x: 5}.
3/340
Four letters picked without replacement from dttbtbtr. What is prob of sequence brbd?
1/840
Calculate prob of sequence kemj when four letters picked without replacement from ggmkggeeejg.
1/2640
Four letters picked without replacement from uukkkkukukkkuk. Give prob of sequence kkuk.
15/143
Two letters picked without replacement from {j: 1, m: 11, t: 1}. Give prob of sequence mm.
55/78
What is prob of sequence tm when two letters picked without replacement from {q: 1, u: 1, t: 4, m: 2}?
1/7
Two letters picked without replacement from {v: 2, h: 2, i: 1, a: 1}. Give prob of sequence aa.
0
Three letters picked without replacement from {b: 4, o: 8, l: 4}. Give prob of sequence lll.
1/140
Three letters picked without replacement from tttwwallawt. Give prob of sequence aat.
4/495
What is prob of sequence mnm when three letters picked without replacement from {m: 5, n: 1, c: 1, u: 3}?
1/36
Three letters picked without replacement from {b: 5, x: 14}. Give prob of sequence xxx.
364/969
Three letters picked without replacement from {x: 4, f: 6, p: 1}. What is prob of sequence xpx?
2/165
What is prob of sequence jz when two letters picked without replacement from jzzj?
1/3
What is prob of sequence aaj when three letters picked without replacement from jppjappappppjappap?
1/136
Calculate prob of sequence nc when two letters picked without replacement from {c: 2, n: 1, a: 1}.
1/6
Three letters picked without replacement from {o: 2, p: 2, v: 1, w: 11}. What is prob of sequence wwv?
11/336
Two letters picked without replacement from {a: 3, v: 4, m: 7}. What is prob of sequence mv?
2/13
Calculate prob of sequence kttt when four letters picked without replacement from {k: 1, t: 3}.
1/4
Three letters picked without replacement from iihhhvhiivhhvhviiiv. What is prob of sequence vih?
245/5814
What is prob of sequence bbb when three letters picked without replacement from {b: 17, c: 1}?
5/6
Two letters picked without replacement from evxzzzzf. What is prob of sequence ez?
1/14
Calculate prob of sequence ig when two letters picked without replacement from hglihlihbhsihhilhblb.
1/95
Four letters picked without replacement from {x: 4, t: 2, u: 5, w: 7}. What is prob of sequence uxww?
7/612
What is prob of sequence ss when two letters picked without replacement from css?
1/3
Calculate prob of sequence tg when two letters picked without replacement from ggxggxxgttggxgxxgjxx.
9/190
What is prob of sequence llq when three letters picked without replacement from {g: 2, x: 3, q: 4, l: 4, n: 1}?
2/91
What is prob of sequence ndu when three letters picked without replacement from {d: 1, n: 1, u: 3}?
1/20
What is prob of sequence ttts when four letters picked without replacement from tkkkttsk?
1/280
Calculate prob of sequence atfm when four letters picked without replacement from {a: 2, t: 1, g: 1, d: 1, f: 1, m: 1}.
1/420
Calculate prob of sequence xhxh when four letters picked without replacement from xxxhhh.
1/10
Two letters picked without replacement from rrrrrjj. Give prob of sequence rr.
10/21
What is prob of sequence gc when two letters picked without replacement from gmkmcgcmmjkgttmmgt?
4/153
What is prob of sequence fzf when three letters picked without replacement from {w: 4, r: 1, z: 3, s: 4, g: 1, f: 2}?
1/455
Calculate prob of sequence vv when two letters picked without replacement from nleenvlnlelnnlnll.
0
Two letters picked without replacement from {t: 2, v: 1, l: 1, k: 1, z: 2}. What is prob of sequence vk?
1/42
Three letters picked without replacement from zccxscq. Give prob of sequence qxc.
1/70
Calculate prob of sequence mp when two letters picked without replacement from dpeemeewmeweweredwr.
1/171
Three letters picked without replacement from hhthhxkzzxhxxrx. Give prob of sequence hzr.
1/273
Calculate prob of sequence vvvv when four letters picked without replacement from vovovovvvvvvovvvovvv.
91/323
Calculate prob of sequence gpl when three letters picked without replacement from {c: 1, r: 1, g: 1, p: 1, l: 1}.
1/60
Three letters picked without replacement from {a: 3, g: 1, f: 4, u: 3}. What is prob of sequence fua?
2/55
What is prob of sequence dqq when three letters picked without replacement from {f: 4, i: 2, s: 2, q: 3, d: 8}?
8/969
Calculate prob of sequence zzz when three letters picked without replacement from mzmmzmmzzmmmmm.
1/91
Three letters picked without replacement from {l: 6, a: 4, z: 1}. Give prob of sequence zla.
4/165
What is prob of sequence tt when two letters picked without replacement from {n: 4, y: 2, t: 2, i: 4, r: 2, u: 1}?
1/105
Calculate prob of sequence vhhn when four letters picked without replacement from vnvhhnnnnv.
1/168
What is prob of sequence vq when two letters picked without replacement from {v: 2, q: 6, i: 1, r: 2, n: 3}?
6/91
Two letters picked without replacement from smgm. What is prob of sequence gs?
1/12
Two letters picked without replacement from ammmcmsg. Give prob of sequence sg.
1/56
Calculate prob of sequence xmm when three letters picked without replacement from {m: 4, x: 15}.
10/323
Three letters picked without replacement from {v: 1, f: 1, x: 1, r: 1, m: 1}. Give prob of sequence vxr.
1/60
Two letters picked without replacement from ikkiikikikiikikkki. Give prob of sequence ik.
9/34
Two letters picked without replacement from sppmnnmsmpp. What is prob of sequence nn?
1/55
What is prob of sequence xlj when three letters picked without replacement from {u: 1, x: 5, l: 8, j: 2, b: 1}?
1/51
What is prob of sequence vvd when three letters picked without replacement from {v: 2, d: 1, y: 2}?
1/30
Four letters picked without replacement from {a: 2, b: 1, o: 1, w: 3}. What is prob of sequence wwaa?
1/70
What is prob of sequence llll when four letters picked without replacement from {l: 10}?
1
Calculate prob of sequence llll when four letters picked without replacement from {o: 1, l: 12}.
9/13
Three letters picked without replacement from kkqgrgqrkqqrrgkrr. Give prob of sequence qgg.
1/170
Calculate prob of sequence gkk when three letters picked without replacement from kgkgggkkkkgkg.
21/143
Calculate prob of sequence zz when two letters picked without replacement from nnnzznn.
1/21
Two letters picked without replacement from {r: 1, b: 2, o: 3, j: 1, n: 3, c: 1}. Give prob of sequence oo.
3/55
What is prob of sequence xsk when three letters picked without replacement from {s: 1, m: 3, a: 1, x: 1, k: 1}?
1/210
Three letters picked without replacement from isoowoitwowojooot. What is prob of sequence jis?
1/2040
What is prob of sequence ona when three letters picked without replacement from {d: 3, n: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
08111624/33535 + -3933446. Let m = y - 996057032/1106655. Let q = m + 900. Which is the second smallest value? (a) -1/3 (b) 3 (c) q
c
Let w be -4 - 0 - 1075/20. Let o = 58 + w. Which is the third biggest value? (a) 0.2 (b) 10 (c) o
a
Let n = 0.213 - 7.403. Which is the second smallest value? (a) -0.3 (b) n (c) 4 (d) 0.4
a
Let g = -5 + 5.4. Suppose 2 = t, -5*j + 2*t - 1 - 13 = 0. Which is the smallest value? (a) 2 (b) g (c) -1/6 (d) j
d
Suppose -4*m + 36 + 20 = 0. Suppose -m = -3*i + 1. What is the biggest value in -0.3, i, -2/3, -2/17?
i
Let j = 5.3 - 3.3. Let i = 23 - j. Let a = i + -18. What is the second smallest value in 1/5, a, -8?
1/5
Let m = 78 + -78.4. What is the fourth smallest value in 3, m, 2.4, 0.1?
3
Let f = -0.1 + 0.1. Let n = -57.6 - -57.4. Which is the third smallest value? (a) -5 (b) f (c) n
b
Let v = -59 - -59.023. Let a = v + -3.023. What is the second smallest value in 1/2, -5, a, 0?
a
Let v = 8.1 + -0.1. Let y = -7.98 + v. Let i = -0.42 + y. What is the third smallest value in i, -3, 0.3?
0.3
Suppose 4*v + 60 + 88 = 0. Let d = 39 + v. Which is the third biggest value? (a) d (b) 0 (c) 0.3
b
Let q = -4/211 - -490/3587. What is the second biggest value in 0.1, q, 0.4?
q
Let m = 611 + -611.06. Which is the smallest value? (a) -0.3 (b) m (c) 4
a
Let x = -15.66 - 110.44. Let a = -146 - x. Let g = -20 - a. What is the smallest value in -2/3, g, 0.3?
-2/3
Suppose -2*x + 5*x = 3. Let d be 3 + (x - (8 - -3)). Let j be 92/224 + 2/d. Which is the second smallest value? (a) -0.1 (b) j (c) -4
a
Let v = -919/6531 - 2/933. What is the second smallest value in -0.4, 2, v, -3/16?
-3/16
Let j = -132 - -132.4. Which is the third biggest value? (a) j (b) -0.9 (c) -1 (d) 0.1
b
Let m be (-7)/(126/16) + 1. Let v = m - 23/45. What is the biggest value in 3, v, 1/5?
3
Let m = -0.061 + 0.109. Let n = -0.052 - m. Which is the third smallest value? (a) n (b) 0 (c) -1/8
b
Suppose -3*h + 138 = 3. Let f be 1/5 - (-66)/h. Let l be (-2)/(-5) - ((-2 - -4) + -1). Which is the smallest value? (a) 2 (b) l (c) f
b
Let j = 3682/5 - 736. Let q = -4 + 11. Suppose 2*y + 2*d = -14, -2*y + 5*y - 4*d = q. What is the second smallest value in j, y, 1?
j
Let l = -22.79 + 131.69. Let r = l - 109. What is the second smallest value in r, -5, 0.1, -3?
-3
Let b = -1.13 + 1.63. Let v be (-10)/35*(-47)/(-2). Let d = v + 437/63. What is the smallest value in b, d, 0?
0
Let x = 1596 + -1599. Suppose 3*m + 10 = -k - 3, 0 = -m - 2*k - 6. Which is the smallest value? (a) m (b) x (c) -0.2
a
Let k = 798 + -3191/4. Which is the smallest value? (a) -0.5 (b) -1 (c) -0.1 (d) k
b
Let r = 0.06 + -3.06. Let t = -68 - -68.4. Let o = 4.6 + t. Which is the second smallest value? (a) r (b) o (c) 2/7
c
Suppose 650*c + 12 = 656*c. What is the second biggest value in -4, -23, c?
-4
Let t = -283.4 + 284. Which is the second smallest value? (a) t (b) -2 (c) -3 (d) 1/6
b
Let j = -32 - -37. What is the biggest value in -0.2, 0, -2/3, j?
j
Let n = -7.7 - -48.7. Let r = n + -36. Let q = 0.2 + -4.2. What is the smallest value in q, r, -1/2?
q
Let w = 107/44 - 24/11. Let q = -30/11 + 183/55. What is the fourth biggest value in w, -0.2, q, 0.1?
-0.2
Let u = -58.7 - -89.7. What is the smallest value in -3, 2, 5, u?
-3
Let y = 1 - 1.8. Let r = y + -2.2. Let f = -4.82 - -5.82. Which is the second biggest value? (a) f (b) r (c) 2/7
c
Let z = 617 - 614.77. Let v = -0.27 - -0.04. Let q = z + v. Which is the third smallest value? (a) q (b) 2/3 (c) 4/3
a
Let y = 45.4 - 45. Let x = -1421/4 + 357. What is the second biggest value in y, x, 2?
x
Let m = 628 - 620. Which is the smallest value? (a) -5/2 (b) 1/7 (c) m
a
Let w = 535 + -538. Let v = 107 + -113.1. Let n = -6 - v. What is the second biggest value in n, w, -1/4?
-1/4
Let k = 0.5 - 0.8. Let i = 79 - 65. Suppose 0 = -15*u + i*u - 3*u. Which is the third smallest value? (a) u (b) k (c) 0.1
c
Let o = 115.1 + -115.2. What is the second biggest value in 4, -85/3, o?
o
Let d = 27 + -46. Let h = 0.022 - 22.022. Let c = h - d. What is the second biggest value in c, 0.1, -4/5?
-4/5
Let n(l) = l**2 + 7*l + 6. Let x be n(-6). Suppose x = -4*d + d - 72. Let k be (8/d)/(1/6). Which is the second biggest value? (a) 3/4 (b) -0.1 (c) k
b
Let p = -414.9 - -415. Which is the second biggest value? (a) 4/5 (b) p (c) 7.1
a
Suppose 5*t - 8 = -q, -4*q + 3*q = -3. Let i = 0.5 + -1. Which is the biggest value? (a) -0.04 (b) t (c) i
b
Let f = 11 + -10. Let p be 0 + (-14)/10 + f. Let l = 1.9 + -2. Which is the third smallest value? (a) p (b) 0.03 (c) l
b
Let a = 0.196 - -0.004. Suppose 7 = j + 1. What is the smallest value in a, -1/4, j?
-1/4
Let w = -348 + 347.1. Which is the biggest value? (a) 0 (b) w (c) 5
c
Let o = -78 - -392/5. Let r = 14 - 12. Suppose -4*h - m - r = 0, -16 = 2*h - 4*m - 6. What is the third biggest value in h, 2, o?
h
Let k = 242.05 + -242. What is the fourth smallest value in 14, -0.1, 2, k?
14
Let p = -142 - -98. Let q = -48 - p. Let m = -0.1 + -0.1. What is the second biggest value in 0.5, q, m?
m
Let d = -0.1 - 27.9. Let h = d - -28.03. Which is the third biggest value? (a) 0.2 (b) 2/9 (c) h
c
Let y be 6/9*2/(-4). Let t = -0.2 - 0.8. Let w = t - -1.1. Which is the third biggest value? (a) 2/3 (b) w (c) y
c
Let x = -89 - -183/2. Let m = -29.2 + 29. Which is the second biggest value? (a) -4 (b) x (c) m
c
Let j be (2 - 3)/5 - (-108)/240. Which is the smallest value? (a) 2/11 (b) 0.4 (c) j (d) -1/6
d
Let y = -678 - -678.4. Which is the third smallest value? (a) -1/3 (b) 2/3 (c) y (d) -0.07
c
Let r = -2.67 + -0.87. Let y = -1.48 + r. Let j = -0.02 - y. Which is the second biggest value? (a) j (b) 6 (c) 0.5
a
Let u = 1 - -4. Let k = 0.07 + -3.07. Let d = k - -2.9. Which is the second smallest value? (a) u (b) 0 (c) d
b
Let h = -325 + 321. Which is the fourth smallest value? (a) -3/8 (b) 0.2 (c) h (d) -0.03
b
Let g = -35 + 36. Which is the second biggest value? (a) -2 (b) g (c) 0.116
c
Suppose 4*t + 2*r + 12 = 0, 2*r + 3 = -t + r. Let n be 3/((-36)/(-8)) - (-17)/(-12). Which is the third smallest value? (a) n (b) 1/2 (c) t
b
Let r = -56 + 225/4. What is the smallest value in r, 2, 3/10?
r
Let i be (-14)/21*6/16. What is the third biggest value in -9, 5, i?
-9
Suppose 4*m - 2*o - 16 = 2*m, -4*m + 5*o + 35 = 0. Let u = -2 + 2. What is the third biggest value in m, u, -3?
-3
Let s = 3 - -10. Let g = 13.4 - s. Which is the smallest value? (a) g (b) -2 (c) -3 (d) 4
c
Let c = 10170/41 + -248. Let f = 96/287 - c. What is the second smallest value in -6, f, -4?
-4
Let m = -30/139 + 371/2363. What is the fourth smallest value in -3/2, m, 3/5, 0.4?
3/5
Let v = -7 + 6. Let y be 0 + -1 - (0 - v). Let r be y/(4/3*2). What is the smallest value in r, -5/2, 0?
-5/2
Let h = -40 - -43. Let z be (0 + -9)*10/(-30). Suppose 0 = -h*p - z - 0. What is the third biggest value in 2/3, -0.3, p?
p
Let c be 10/(-65) + 2/13. What is the biggest value in 1/4, c, 0.87?
0.87
Let i = -4 + 9. Let p be (12/(-20))/(1/i). Let g be (-4)/(-50)*(-2 + p). Which is the third smallest value? (a) -0.1 (b) 1/3 (c) g
b
Suppose 3*v = -4*g - 22 + 17, 5*v = -3*g - 12. Which is the second biggest value? (a) -31 (b) g (c) -5/6
c
Let q = 159 - 155. Which is the third biggest value? (a) 109 (b) -3 (c) -4 (d) q
b
Let x = 228 + -134. Let l = x + -92. Which is the biggest value? (a) l (b) -2 (c) 0.04
a
Suppose 0 = -3*m - 3*t - 0*t - 45, 0 = -2*m + 4*t - 48. Let p = m - -12. Let o be ((-2)/p)/((-20)/(-24)). What is the third biggest value in -4, -3, o?
-4
Let q = 948/5 - 189. Let t = -17 - -18. Which is the third smallest value? (a) -1 (b) t (c) -2/11 (d) q
d
Let s = 628 + -633. Which is the third smallest value? (a) -2 (b) s (c) 1/13
c
Let f = -0.63 - 7.37. Let h = f - -9. Let p = 2.6 + -0.6. Which is the third smallest value? (a) p (b) h (c) -0.1
a
Let q = 40/63 + 2/63. Let s = -618 + 615. What is the biggest value in -0.3, s, q, 3/2?
3/2
Let j be (-1175)/(-1925) - 9/21. What is the third biggest value in -0.1, j, 2, 3/5?
j
Suppose z = -4*n, 1 = n - 0. Let s = -2.3 - 0.7. Suppose -3*r - 2*w = 1, -2*r - w + 10 = 3*r. What is the smallest value in s, r, z?
z
Let j = 1162 + -1164. W
|
{
"pile_set_name": "DM Mathematics"
}
|
l)).
-l**2 + 133*l - 4
Let m(b) be the third derivative of b**5/20 + 53*b**3/2 - 7*b**2 + 6*b. Let y(l) = -3*l. Give y(m(a)).
-9*a**2 - 477
Let q(z) = -4*z**2. Let x(s) = 6182624*s. Calculate q(x(t)).
-152899358101504*t**2
Let q(h) = h + 2*h - 4*h. Let a(n) = 5*n + 33*n + 0 + 11 - 21. Let j(z) = -24*z + 7. Let g(v) = 5*a(v) + 8*j(v). What is g(q(c))?
2*c + 6
Let t(q) = -2*q + 38. Let j(k) = 54*k - 304. Let u(o) = -j(o) - 8*t(o). Let r(c) = -316*c**2. What is r(u(v))?
-456304*v**2
Let k(d) be the second derivative of -37*d**4/4 + 141614*d. Let b(s) = -1 + 1 - 2*s. Calculate b(k(c)).
222*c**2
Let p(x) = 3*x**2. Suppose -99*c = -94*c - 25. Suppose j = c*j - 20. Let d(o) = -1 + 19*o + 1 - j*o. Give p(d(w)).
588*w**2
Let x(k) = -5*k**2 + 28*k. Let r(c) be the second derivative of -c**4/3 + 29*c**3/6 + 12*c + 2. Let h(n) = -4*r(n) + 3*x(n). Let p(z) = z. Give p(h(t)).
t**2 - 32*t
Let y(j) = 2853*j**2 - 5704*j**2 + 2853*j**2. Let g(r) = -33*r + 14. Determine y(g(n)).
2178*n**2 - 1848*n + 392
Let i(y) = -1 + 0 + 2 + 19*y**2. Let f(v) = 0*v + 10233 + v - 10233 + v. Calculate i(f(d)).
76*d**2 + 1
Let p(c) = -119*c**2. Let o(d) = -7*d**2. Let j = -3 + 5. Let z(g) = j*p(g) - 35*o(g). Let i(s) be the first derivative of -s**3 + 318. What is i(z(y))?
-147*y**4
Let x(h) be the third derivative of h**6/360 + 164*h**3/3 - 26*h**2 + 4*h. Let i(a) be the first derivative of x(a). Let p(q) = 25*q**2. What is i(p(c))?
625*c**4
Let k(g) be the third derivative of 0 + 0*g - 8*g**2 - 1/5*g**5 + 0*g**4 + 0*g**3. Let l(z) be the third derivative of -z**4/12 - z**2 + 9*z. Determine l(k(a)).
24*a**2
Let a(z) be the third derivative of z**5/60 + 3*z**2 - 23*z. Let f(r) = 97*r. What is f(a(s))?
97*s**2
Let d(z) = z - 4345577. Let s(u) = 4*u**2. Determine d(s(g)).
4*g**2 - 4345577
Let g(p) = 2419*p + 2418*p - 4841*p. Let w(r) = -15*r. Determine w(g(q)).
60*q
Let x(m) be the second derivative of 1/12*m**4 + 0*m**2 + 2 + 0*m**3 - 21*m. Let z(q) = -17*q - 2*q - 16*q. Give x(z(j)).
1225*j**2
Let u(h) = -3*h. Suppose -11*n = -21 - 12. Let i(g) = 432*g - n - 214*g - 217*g. Calculate i(u(b)).
-3*b - 3
Let t(y) = -2527020*y**2. Let x(n) = -5*n**2. Give t(x(c)).
-63175500*c**4
Let y(m) be the second derivative of 7*m**4/12 + 50*m - 1. Let h(o) be the first derivative of 5*o**3/3 + 4. Give y(h(b)).
175*b**4
Let t(y) = -15*y**2 - y. Let c(g) = 282207*g. Determine t(c(s)).
-1194611862735*s**2 - 282207*s
Let l(b) = 2*b. Let w(o) be the first derivative of 0*o**2 + 112 - 2/3*o**3 - 31*o. Calculate l(w(u)).
-4*u**2 - 62
Let z(k) = 642 - 642 - k**2. Let m be 14/6 - (-16)/24. Let i(b) = -3*b**2 + 3*b**2 + m*b**2. Calculate z(i(s)).
-9*s**4
Let l(a) = 2*a - 221 - 105 + 315. Let p(s) = -4*s + 2. What is p(l(w))?
-8*w + 46
Let l(i) = -336*i**2 + 39*i - 14*i - 5*i - 13*i. Let j(f) = -2*f. Give j(l(u)).
672*u**2 - 14*u
Let w(p) be the second derivative of -3*p**4/4 - 1837*p. Let k(j) = 33*j - 1. Calculate w(k(i)).
-9801*i**2 + 594*i - 9
Let w(b) = -1186*b. Let f(c) be the second derivative of -c**3/2 + 2*c + 341. Determine w(f(m)).
3558*m
Let d = -2017 - -2019. Let l(p) be the second derivative of -13/6*p**3 + 3*p + 0 + 0*p**d. Let a(h) = -3*h**2. Give l(a(b)).
39*b**2
Let b(y) = 9753*y - 2. Let h(i) = 20*i**2. Calculate b(h(c)).
195060*c**2 - 2
Let v(l) = -4463*l. Let o(n) = -278*n - 2*n**2 + 24*n + 254*n. Give v(o(y)).
8926*y**2
Let w(s) = 20*s. Let t(z) be the third derivative of z**2 + 0*z**4 + 0*z**3 - z + 0 + 1/30*z**5. What is t(w(v))?
800*v**2
Let i(a) = 24*a**2 - 53*a**2 + 33*a**2. Let v(g) = 63 - 63 - 5*g + 3*g. Calculate i(v(m)).
16*m**2
Let f(k) be the first derivative of -k**2/2 - 2*k + 230. Let p(z) = 2*z - 2. Let a(t) = 5*f(t) - 5*p(t). Let m(c) = -13*c. Give a(m(v)).
195*v
Let z(y) = -y**2 + y. Let h(l) = l**2 - l. Let d(s) = 6*h(s) + 5*z(s). Let r(u) = 82*u. Let m(q) = -1121*q. Let w(v) = -6*m(v) - 82*r(v). What is d(w(c))?
4*c**2 - 2*c
Suppose -u + 0 = -4*f + 6, 4*u - 5*f = -2. Let z(d) = -2 - 1 + 7*d**u + 3. Let o(q) = -q**2 + 1063 - 1063 - 2*q**2. Give z(o(w)).
63*w**4
Let w(y) = 253558149*y. Let r(g) = 2*g**2. Calculate w(r(v)).
507116298*v**2
Let z(u) = -4*u. Let j = -21728 + 21730. Let x(f) be the second derivative of 0*f**3 + 17/12*f**4 + 0*f**j + 20*f + 0. Determine x(z(g)).
272*g**2
Let y(k) = -6*k**2. Let i(u) = 502*u**2 - 108*u. Let w(r) = 251*r**2 - 48*r. Let g(l) = -4*i(l) + 9*w(l). Give g(y(a)).
9036*a**4
Let a(d) = 2*d. Let p(c) = -52221*c**2 - 4*c - 2. Calculate p(a(z)).
-208884*z**2 - 8*z - 2
Let p(h) = -h**2 - 301. Let b(f) = -4*f**2 + 222. Determine b(p(c)).
-4*c**4 - 2408*c**2 - 362182
Let h(g) = -2417*g. Let y(a) = 20 - 80 + 40 + 20 + 3*a**2. Determine h(y(v)).
-7251*v**2
Let u(h) = 4*h - 2. Let a(s) = 35*s - 21. Let t(b) = a(b) - 9*u(b). Let k(q) = -3*q**2. Calculate t(k(j)).
3*j**2 - 3
Let y(c) = -7*c - 10. Let r(q) = -8*q**2 - 3*q + 3. Let l(t) = -7*t**2 - 2*t + 2. Let v(a) = -3*l(a) + 2*r(a). Calculate y(v(f)).
-35*f**2 - 10
Let m(g) = -8321630*g**2. Let l(t) = -t. Calculate l(m(f)).
8321630*f**2
Let l(o) = -47*o**2 - 5*o. Let t(g) = -84*g**2 - 9*g. Let r(k) = 9*l(k) - 5*t(k). Let n(q) = 191*q**2. What is n(r(c))?
1719*c**4
Suppose -10*i + 5*i = -10. Let j(g) be the first derivative of 4 - 7 + i - 5 + 7*g**2. Let z(p) = -2*p**2. Give j(z(l)).
-28*l**2
Let m(q) = -3*q**2 - 10*q. Let s(d) = 3*d + 3*d - 5*d - 145 + 145. Let c(w) = m(w) - 4*s(w). Let k(a) = 3*a. What is c(k(h))?
-27*h**2 - 42*h
Let m(z) = 7*z**2. Let s(w) be the third derivative of -229*w**4/24 + 2*w**2 - 1054*w. Give s(m(d)).
-1603*d**2
Let p(v) be the third derivative of v**5/30 + 219*v**2. Let o(w) = 6*w**2 + 79*w. What is o(p(m))?
24*m**4 + 158*m**2
Let k(j) = 3*j. Let w(l) = 70*l + 1387. Calculate k(w(u)).
210*u + 4161
Let c(u) = -4*u**2 + 88*u - 6. Let b(k) = -117*k**2. Give c(b(s)).
-54756*s**4 - 10296*s**2 - 6
Let n(l) be the third derivative of -1/24*l**4 + 0*l**3 - 79*l**2 + 0 + 0*l. Let b(o) = 8*o. Let y(f) = 39*f. Let v(u) = 26*b(u) - 5*y(u). Determine v(n(j)).
-13*j
Let j(w) = -203*w**2. Let m(a) be the second derivative of 25*a**3/6 - 5293*a. Determine m(j(z)).
-5075*z**2
Let o(j) = 2*j - 3*j**2 + 5*j**2 - 2*j. Let p(g) be the second derivative of -g**3/6 + 93*g**2/2 + 18*g. Give p(o(i)).
-2*i**2 + 93
Let j(i) = -3*i**2. Let l be ((-124)/12)/(5/(-15)). Let m(d) = 8 + 19*d - 8 - l*d. Give m(j(v)).
36*v**2
Let n(t) = -440211*t + 8. Let z(p) = 22*p**2. What is n(z(r))?
-9684642*r**2 + 8
Let b(h) be the first derivative of -h**3/3 + 776. Let j(k) = -1937*k. Give b(j(g)).
-3751969*g**2
Let h(b) = 6*b**2 + 167874 + 0*b**2 - 167977 - 4*b**2. Let q(i) = 6*i**2. Determine h(q(j)).
72*j**4 - 103
Let t(g) be the first derivative of -3*g**2 - 2*g - 1246. Let r(j) be the third derivative of -j**4/12 - 2*j**2. What is r(t(k))?
12*k + 4
Let a(j) = -875*j. Let b(z) = 4*z + 3*z - 5*z - 14*z + 10*z. What is a(b(s))?
1750*s
Let q(l) be the second derivative of -l**4/12 - 16*l. Let u(n) = -2*n**2 - 80*n + 6. Let g(s) = -16*s + 2. Let d(w) = -5*g(w) + u(w). Give d(q(z)).
-2*z**4 - 4
Let o(p) = 306*p - 306*p - 32*p**2. Let b = 43 - 41. Let y(k) = -3*k**b + k**2 + 4*k**2 - 4*k**2. What is o(y(u))?
-128*u**4
Let s(q) be the first derivative of 4/3*q**3 + 0*q**2 + 0*q - 12. Let p(f) = -7 + 5 + 2 - f**2. Determine s(p(b)).
4*b**4
Let o(b) = -b. Let a(p) = -2*p**2 - p - 2773396. Determine a(o(r)).
-2*r**2 + r - 2773396
Let t(q) = 2*q**2. Let n(f) be the second derivative of f**5/60 - f**4/24 + 117*f**2/2 + 65*f. Let s(l) be the first derivative of n(l). Calculate t(s(v)).
2*v**4 - 4*v**3 + 2*v**2
Let o(v) = v. Let s(z) = -68*z**2 + 174*z - 44. Calculate s(o(y)).
-68*y**2 + 174*y - 44
Let m(x) = 3024*x - 188 + 377 - 189. Let n(j) = -2*j**2. Give m(n(s)).
-6048*s**2
Let j(x) = -46*x - 3. Let w(z) = -8*z**2 - 1. Let u(v) = -34*v**2 - 7. Let h(l) = -u(l) + 4*w(l). Give j(h(k)).
-92*k**2 - 141
Let o(d) = d**2 + 1. Let p(f) = -f + 24. Let u(l) = -7*l + 180. Let n(j) = 15*p(j) - 2*u(j). Give o(n(y)).
y**2 + 1
Let j(p) = -15*p - 17. Let m(o) = 5*o + 6. Let d(i) = 8*i - 90. Let w be d(12). Let q(f) = w*j(f) + 17*m(f). Let z(g) = 31*g**2. What is z(q(t))?
775*t**2
Let n(j) = -11*j. Let y(c) be the second derivative of -c**3/2 + 13*c**2 + 1690*c. Calculate n(y(o)).
33*o - 286
Let b(p) = -p**2 - 3 + 3. Let d(v)
|
{
"pile_set_name": "DM Mathematics"
}
|
of 115/54 and 1/3838.
103626
Find the common denominator of -115/1078 and 43/154.
1078
What is the lowest common multiple of 1131 and 816?
307632
Calculate the common denominator of 13/62 and 7/12580.
389980
Calculate the smallest common multiple of 4720 and 19824.
99120
Calculate the lowest common multiple of 2552 and 12.
7656
Calculate the least common multiple of 5512 and 5096.
270088
Calculate the smallest common multiple of 3681 and 774.
316566
Find the common denominator of -33/22960 and 33/16.
22960
Find the common denominator of 89/12 and -95/183824.
551472
What is the lowest common multiple of 26481 and 23765?
926835
Find the common denominator of 109/2314 and -64/1869.
48594
What is the smallest common multiple of 1 and 13405?
13405
Calculate the common denominator of 3/648518 and 9/22.
7133698
Calculate the common denominator of -39/425 and -26/42789.
1069725
Calculate the least common multiple of 10561 and 1432.
84488
Find the common denominator of -1/135 and 40/2727.
13635
What is the lowest common multiple of 343036 and 10?
1715180
Calculate the least common multiple of 222332 and 7.
1556324
Calculate the least common multiple of 49647 and 25259.
1439763
What is the common denominator of -53/428 and 31/4922?
9844
Find the common denominator of -83/3300 and 151/4950.
9900
Find the common denominator of 103/32310 and -107/54.
96930
Find the common denominator of -53/1035 and 51/24265.
218385
What is the common denominator of -29/30600 and -32/119?
214200
Calculate the smallest common multiple of 871 and 1742.
1742
What is the smallest common multiple of 36192 and 27840?
361920
Calculate the common denominator of 19/1192 and 65/3576.
3576
Calculate the common denominator of -74/63495 and -73/12.
253980
What is the lowest common multiple of 571427 and 7?
3999989
What is the common denominator of 43/3213832 and 145/18?
28924488
What is the common denominator of -26/23 and -47/9395?
216085
What is the lowest common multiple of 1025 and 4445?
911225
What is the lowest common multiple of 1022846 and 4?
2045692
What is the least common multiple of 209850 and 713490?
3567450
Find the common denominator of 11/112 and 5/5873.
93968
Find the common denominator of -37/3487002 and 61/4.
6974004
What is the lowest common multiple of 73532 and 60?
1102980
What is the common denominator of -87/26770 and 29/21416?
107080
What is the least common multiple of 1526 and 596666?
596666
Calculate the lowest common multiple of 994 and 497.
994
Calculate the smallest common multiple of 8 and 978.
3912
Calculate the common denominator of 181/157830 and 127/120.
631320
Find the common denominator of 155/5616 and -131/3744.
11232
What is the common denominator of 67/40 and 89/719750?
2879000
Calculate the least common multiple of 14592 and 60.
72960
Find the common denominator of 61/16840 and 41/656760.
656760
Calculate the lowest common multiple of 1350 and 480.
21600
Calculate the lowest common multiple of 401784 and 24.
401784
Calculate the common denominator of 79/15606 and -73/27.
15606
Find the common denominator of 125/383898 and 103/3270.
1919490
What is the common denominator of 109/30558 and 79/11946?
5530998
Find the common denominator of -137/240 and 79/40200.
80400
Calculate the common denominator of 13/410028 and -7/6204.
4510308
Calculate the common denominator of 83/30 and 49/437712.
2188560
Find the common denominator of 109/24 and -41/2418.
9672
What is the lowest common multiple of 776016 and 339507?
5432112
What is the common denominator of -59/753220 and 95/451932?
2259660
Calculate the least common multiple of 1646 and 44442.
44442
Calculate the smallest common multiple of 8957 and 530.
89570
Find the common denominator of -139/342 and -89/288.
5472
Calculate the lowest common multiple of 308016 and 154008.
308016
What is the lowest common multiple of 291 and 2289?
222033
Calculate the smallest common multiple of 184 and 920.
920
What is the smallest common multiple of 4331 and 852?
51972
Find the common denominator of 173/1560 and 169/1080.
14040
Calculate the common denominator of -57/18356 and -33/416.
146848
What is the lowest common multiple of 382 and 23684?
23684
What is the least common multiple of 33534 and 67068?
67068
Find the common denominator of -55/28461 and -52/8055.
426915
Find the common denominator of -57/5908 and 69/154.
64988
Calculate the common denominator of 103/13904 and -53/5214.
41712
Find the common denominator of -137/3770 and -7/2600.
75400
Find the common denominator of 17/11024 and -99/27560.
55120
What is the common denominator of -59/4851 and 13/15435?
169785
What is the smallest common multiple of 686 and 4264?
1462552
What is the least common multiple of 3256 and 180?
146520
Calculate the lowest common multiple of 237920 and 4461.
713760
Calculate the smallest common multiple of 170 and 44801.
7616170
What is the common denominator of -1/1562 and 43/1604316?
17647476
What is the common denominator of -83/1164 and 23/9797?
117564
Find the common denominator of 133/4992 and 59/111488.
334464
Calculate the common denominator of 17/137709 and 73/95337.
1239381
Calculate the least common multiple of 113256 and 12584.
113256
Calculate the least common multiple of 1521296 and 448.
6085184
Calculate the common denominator of -22/535 and 29/36.
19260
Calculate the smallest common multiple of 93725 and 92.
374900
Calculate the common denominator of 101/10 and 11/158822.
794110
Calculate the common denominator of -65/5872 and -59/1835.
29360
What is the common denominator of -25/91368 and 73/243648?
730944
What is the lowest common multiple of 9231 and 1296?
3987792
Calculate the common denominator of -185/924 and 25/1672.
35112
Calculate the common denominator of 79/1875 and 91/169875.
849375
What is the common denominator of -119/2960 and 23/240?
8880
What is the least common multiple of 2548 and 351?
68796
What is the common denominator of -29/3 and 137/610536?
610536
Calculate the least common multiple of 623616 and 39424.
6859776
Find the common denominator of -21/20336 and -51/2480.
101680
Calculate the least common multiple of 52272 and 1584.
52272
Find the common denominator of 155/40236 and 74/231.
442596
What is the smallest common multiple of 239240 and 25?
1196200
What is the smallest common multiple of 1518 and 57178?
171534
What is the smallest common multiple of 1758 and 2051?
12306
What is the lowest common multiple of 28706 and 3224?
1492712
Calculate the common denominator of 11/658 and -51/87514.
87514
What is the smallest common multiple of 12197 and 97576?
97576
Calculate the lowest common multiple of 5610 and 11220.
11220
Calculate the lowest common multiple of 16630 and 75.
249450
Find the common denominator of -20/617449 and 57/88207.
617449
Calculate the least common multiple of 95886 and 126.
95886
What is the common denominator of -28/239065 and -88/15705?
2151585
Calculate the smallest common multiple of 10 and 26923.
269230
What is the least common multiple of 15276 and 137484?
137484
Calculate the least common multiple of 7788 and 1749.
412764
Calculate the least common multiple of 24144 and 156936.
313872
Find the common denominator of -55/8612 and 48/2153.
8612
Calculate the common denominator of -45/1646 and -43/4115.
8230
What is the least common multiple of 600 and 88700?
532200
What is the common denominator of 173/462 and -115/994?
32802
What is the lowest common multiple of 10 and 11508?
57540
Calculate the common denominator of -56/79227 and 37/96833.
871497
What is the smallest common multiple of 717782 and 2717?
7895602
Calculate the least common multiple of 16245 and 24.
129960
Calculate the lowest common multiple of 3570 and 176120.
528360
What is the lowest common multiple of 68 and 19601?
78404
Calculate the common denominator of -99/56836 and 51/22.
625196
Find the common denominator of 67/2070 and -19/38310.
2643390
What is the lowest common multiple of 3822 and 28?
7644
Calculate the common denominator of -5/7 and 59/43162.
43162
What is the common denominator of 51/4130 and 137/20650?
20650
What is the common denominator of -25/10684 and 49/459412?
459412
What is the lowest common multiple of 2674 and 1295?
494690
What is the common denominator of -74/1455 an
|
{
"pile_set_name": "DM Mathematics"
}
|
What is prob of picking 1 h, 1 z, and 2 v when four letters picked without replacement from hhzhhzvhhhzhhvzhhzh?
5/323
Three letters picked without replacement from ccdcczudcr. What is prob of picking 1 c, 1 u, and 1 z?
1/24
What is prob of picking 1 g and 1 w when two letters picked without replacement from ppfwwvgr?
1/14
Four letters picked without replacement from bigbigbidel. What is prob of picking 1 l, 2 i, and 1 g?
1/55
Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, v: 7}.
7/40
Three letters picked without replacement from {s: 2, y: 2, p: 1, n: 2, f: 1, z: 1}. Give prob of picking 1 p and 2 n.
1/84
Calculate prob of picking 1 l and 2 u when three letters picked without replacement from uunlkkty.
1/56
Four letters picked without replacement from wvhxwvhawwh. Give prob of picking 2 w and 2 h.
3/55
Four letters picked without replacement from {z: 4, c: 2}. What is prob of picking 4 z?
1/15
Four letters picked without replacement from hrwtwwwpvhvvphhwrwpp. Give prob of picking 1 r, 1 t, 1 v, and 1 w.
12/1615
Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, h: 5}.
2/9
Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {v: 4, s: 1, z: 2, j: 1, y: 1}.
1/7
What is prob of picking 1 a and 1 m when two letters picked without replacement from {l: 5, m: 3, a: 1, z: 1, k: 5}?
1/35
Calculate prob of picking 2 g and 1 x when three letters picked without replacement from {x: 3, g: 3}.
9/20
Three letters picked without replacement from {e: 1, p: 1, x: 4, l: 1, b: 9, a: 1}. Give prob of picking 1 a, 1 x, and 1 p.
1/170
What is prob of picking 1 q and 3 u when four letters picked without replacement from huquhuuhuhuuuu?
12/143
Two letters picked without replacement from tonnjjjnjhhbbojbhjb. What is prob of picking 1 o and 1 h?
2/57
Four letters picked without replacement from goglrggllr. Give prob of picking 1 l, 1 o, 1 g, and 1 r.
4/35
Four letters picked without replacement from eeeieiei. Give prob of picking 4 e.
1/14
Calculate prob of picking 2 l, 1 h, and 1 v when four letters picked without replacement from {h: 1, r: 1, l: 2, y: 1, v: 1, c: 1}.
1/35
Four letters picked without replacement from wwweiwwiewiiweewwwe. Give prob of picking 3 e and 1 i.
10/969
Calculate prob of picking 2 q when two letters picked without replacement from kkqqkqkqqk.
2/9
What is prob of picking 4 a when four letters picked without replacement from {a: 7, m: 9}?
1/52
Four letters picked without replacement from crsrscccrsr. What is prob of picking 3 c and 1 s?
2/55
What is prob of picking 1 p and 3 i when four letters picked without replacement from pipipipipippp?
16/143
What is prob of picking 1 f and 1 h when two letters picked without replacement from {f: 2, h: 6}?
3/7
Two letters picked without replacement from {t: 1, n: 2, k: 1, i: 2, w: 1, f: 1}. Give prob of picking 1 w and 1 n.
1/14
What is prob of picking 2 u when two letters picked without replacement from ukxunxx?
1/21
Three letters picked without replacement from {t: 7, n: 2}. What is prob of picking 3 t?
5/12
What is prob of picking 1 o, 2 p, and 1 m when four letters picked without replacement from {m: 2, o: 3, p: 3}?
9/35
Calculate prob of picking 1 u and 2 o when three letters picked without replacement from uouuuuouuoumuuuu.
9/140
Three letters picked without replacement from {p: 1, s: 3, t: 5, d: 1, a: 1, k: 3}. What is prob of picking 1 s, 1 d, and 1 p?
3/364
What is prob of picking 3 o when three letters picked without replacement from oooocooooocc?
21/55
Four letters picked without replacement from ooogfoogaflooob. Give prob of picking 1 a and 3 o.
8/195
What is prob of picking 4 g when four letters picked without replacement from ggggggg?
1
Two letters picked without replacement from xxsxxxxxsxssssxxsxss. Give prob of picking 1 x and 1 s.
99/190
Three letters picked without replacement from oeoqceqoo. Give prob of picking 2 o and 1 c.
1/14
Three letters picked without replacement from yyzz. What is prob of picking 3 z?
0
What is prob of picking 1 r, 1 i, and 1 f when three letters picked without replacement from rnniff?
1/10
Two letters picked without replacement from {v: 5, d: 1, i: 8, z: 2}. Give prob of picking 1 z and 1 d.
1/60
Three letters picked without replacement from ooinosonnonol. What is prob of picking 1 l, 1 n, and 1 o?
12/143
What is prob of picking 2 u and 1 s when three letters picked without replacement from kuisku?
1/20
What is prob of picking 1 d and 1 m when two letters picked without replacement from {m: 2, d: 2}?
2/3
What is prob of picking 1 f and 3 m when four letters picked without replacement from mmmmmfmfffm?
14/33
Two letters picked without replacement from {d: 2, l: 1, z: 1, o: 1}. What is prob of picking 2 d?
1/10
Calculate prob of picking 1 s and 1 r when two letters picked without replacement from ksskpskrss.
1/9
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 7, x: 3, d: 1, z: 4, p: 4}.
28/171
Two letters picked without replacement from ykl. What is prob of picking 1 y and 1 k?
1/3
What is prob of picking 1 i, 2 c, and 1 t when four letters picked without replacement from utuctuaaiiuaaiuic?
2/595
What is prob of picking 1 n and 2 j when three letters picked without replacement from {c: 3, l: 2, n: 1, s: 4, j: 2}?
1/220
What is prob of picking 2 t and 2 u when four letters picked without replacement from {u: 2, t: 7}?
1/6
What is prob of picking 1 b, 2 w, and 1 v when four letters picked without replacement from bbbbbwvwbbwv?
14/165
Calculate prob of picking 2 x, 1 a, and 1 c when four letters picked without replacement from xaxxacayxaxg.
8/99
What is prob of picking 1 p, 2 w, and 1 x when four letters picked without replacement from {w: 3, p: 1, x: 2, o: 1}?
6/35
Calculate prob of picking 2 z when two letters picked without replacement from {a: 1, l: 3, y: 7, z: 3}.
3/91
Calculate prob of picking 3 c when three letters picked without replacement from cbtccbblctccd.
10/143
Three letters picked without replacement from {f: 4, g: 11, v: 3}. Give prob of picking 3 v.
1/816
Two letters picked without replacement from cccccccccccccaccccc. Give prob of picking 1 a and 1 c.
2/19
Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hmkdhmhkd.
1/6
Four letters picked without replacement from {a: 1, u: 2, s: 1, e: 1, m: 1, h: 2}. What is prob of picking 2 u, 1 e, and 1 h?
1/35
Three letters picked without replacement from {x: 4, b: 3}. Give prob of picking 1 x and 2 b.
12/35
Four letters picked without replacement from {m: 4, a: 4, d: 6, s: 4}. Give prob of picking 2 d, 1 a, and 1 m.
4/51
Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {g: 2, u: 2, d: 1, r: 1, k: 1, m: 2}.
1/42
What is prob of picking 1 i, 1 z, 1 u, and 1 p when four letters picked without replacement from {o: 3, z: 2, i: 5, l: 1, p: 1, u: 3}?
2/91
What is prob of picking 2 b when two letters picked without replacement from zplzfbppplleppflpbp?
1/171
Two letters picked without replacement from hhlhohohl. Give prob of picking 2 l.
1/36
Two letters picked without replacement from xxxxxxxfkkfx. Give prob of picking 1 k and 1 x.
8/33
Four letters picked without replacement from {l: 2, a: 3, o: 4}. Give prob of picking 2 o and 2 a.
1/7
Two letters picked without replacement from {w: 1, b: 4, p: 7, m: 8}. Give prob of picking 1 p and 1 w.
7/190
Three letters picked without replacement from stgjm. Give prob of picking 1 s, 1 t, and 1 m.
1/10
What is prob of picking 2 r when two letters picked without replacement from {n: 3, r: 9}?
6/11
Three letters picked without replacement from gnogg. What is prob of picking 3 o?
0
Calculate prob of picking 1 q and 3 b when four letters picked without replacement from bqbqbbbb.
4/7
What is prob of picking 1 f and 3 l when four letters picked without replacement from flflccfffl?
1/42
What is prob of picking 2 t when two letters picked without replacement from aaaataattztttaa?
1/7
What is prob of picking 2 z when two letters picked without replacement from {z: 6, f: 4, q: 2, e: 1, i: 2}?
1/7
Calculate prob of picking 3 l and 1 q when four let
|
{
"pile_set_name": "DM Mathematics"
}
|
of 233*x**5/10 + 5*x**4/12 - x**3/6 + 10*x**2 - 2. Is d(3) a prime number?
True
Is (27/108)/(-3*(-3)/923868) prime?
False
Let x(g) = -11*g**3 + 5*g**2 + 6*g + 18. Let s be x(-9). Suppose 4311 = 9*l - s. Is l a composite number?
True
Let z be 16/((-24)/(-3)) + -4. Let s(q) = -1281*q + 25. Is s(z) a prime number?
False
Let c be (-54)/99 + 27969/33. Suppose 0 = -k - 3, c = -2*s - 3*k + 4392. Is s prime?
True
Let a be ((-42)/12 - -4)*(0 + 0). Suppose 16*s - 628 - 14956 = a. Is s a composite number?
True
Let d(q) = 2*q**3 + 52*q**2 - 283*q - 28. Is d(-30) a prime number?
False
Let a = 359 + -333. Suppose 0 = 27*d - a*d - 743. Is d a prime number?
True
Let g(k) = k**3 - 25*k**2 + 7*k - 52. Let v be g(25). Suppose -y = -270 - v. Is y prime?
False
Let z = 73 - 60. Suppose -14*j - 2 = -z*j. Is 60/18*(-267)/j composite?
True
Let x(m) = m**2 - m + 4. Let o be x(4). Suppose 2092 = -o*z + 91004. Is z a prime number?
True
Let f(n) = n**2 - 15*n + 23. Suppose 5 = 3*l - 2*r, 2*l - 3*r + 2 = -3. Let i(v) = -2*v + 32. Let q be i(l). Is f(q) prime?
False
Is (-3)/(-2)*110*39222/270 a composite number?
True
Let u(y) = -y + 2. Let v be u(14). Let t(r) = -27*r + 14. Let i be t(v). Suppose 2*z - 4*p = 174, i = z + 3*z - 3*p. Is z a prime number?
True
Suppose -17282 = -181*u - 2259. Is u composite?
False
Let p be (-2 + -15 + -2)*-1 - 3. Suppose 0*y - p = -4*y. Suppose 0 = -2*z - 4*v + 251 + 5623, -14655 = -5*z - y*v. Is z composite?
False
Let m(a) = -63*a - 22. Let d(y) = 126*y + 44. Let b(c) = -3*d(c) - 5*m(c). Let s be ((-5)/2)/(22/44). Is b(s) composite?
False
Suppose 0 = -z + 429 + 806. Let l = 2088 - z. Is l a prime number?
True
Let h(s) = 10 - 8*s + 3*s + 169*s**2 - s**2. Let l be h(4). Let n = l - -441. Is n composite?
False
Let w = -4 - -6. Let f(g) = 2724*g**3 + 2*g**2 - 4*g + 2. Let n be f(w). Is (1 + 0)/(17/n) a prime number?
False
Let l = -57303 + 112082. Is l prime?
True
Let i = 6894 - 4083. Let k = i + -1820. Is k a composite number?
False
Let v(m) = 17*m + 99. Let a be v(-5). Suppose -a*i = 4*i - 6228. Is i composite?
True
Let m = -6711 - -17002. Is m composite?
True
Let p(l) = 1815*l - 59. Let v(m) = m - 1. Let f(b) = p(b) + 6*v(b). Is f(8) composite?
False
Suppose 3 = q + 11. Is 13513/8 - (-1)/q composite?
True
Is (((-2)/(-5))/((-420)/20008275))/(3/(-6)) a prime number?
False
Let y(p) = -p**3 - 2*p**2 + 2*p + 4479. Suppose -124*j = -120*j. Is y(j) a composite number?
True
Let m = 48 - 46. Suppose 18 - 808 = m*t. Let x = 1808 - t. Is x a composite number?
False
Let b(x) = -203*x + 7. Let a be -4 + 0 - -9 - -5. Suppose -2*c = -a*c - 16. Is b(c) a prime number?
False
Suppose -9*r + 632635 = -821864. Is r a composite number?
False
Is 48/192 - (-2564553)/12 composite?
False
Suppose 0 = -f - 1, 2*j + 27 = 4*j - 3*f. Let t(h) = 2*h**3 - 23*h**2 + 4*h - 14. Let u be t(j). Let m = 664 + u. Is m a composite number?
True
Suppose 2*i + 7 = -0*i + 5*n, -4 = i - 2*n. Let m(b) = 5*b**2 + 40*b + 37. Let p(f) = 2*f**2 + 13*f + 12. Let o(z) = i*m(z) + 17*p(z). Is o(-15) composite?
True
Let p(r) = 3*r**3 - 45*r**2 - 6*r + 212. Is p(27) prime?
False
Let m = 1915156 - 1217969. Is m prime?
False
Suppose -3*r + 7*r + 8 = 0. Let i be (3 - (r/2 - -3))*-5. Let b(o) = -110*o + 7. Is b(i) a composite number?
False
Suppose -5*g + n = -710035, 112*g = 109*g - 3*n + 426021. Is g composite?
False
Let y be (-198825)/4 - (-30)/(-40). Let g be y + (0 - 5) + 2. Is g/(-45)*(-3)/(-2) composite?
False
Is 3 - (-406)/(-126) - ((-4069095)/27 - 0) composite?
False
Let g(t) = -2*t - 24. Let i(o) = -1. Let r(a) = -g(a) + 5*i(a). Let q be r(-8). Is (q/(-2))/(0 + (-9)/1266) a composite number?
False
Suppose k - 982 = 5*b, -222*k - 2*b + 2895 = -219*k. Is k a prime number?
True
Suppose 0 = -h + 796 + 425. Let y(t) = -11*t**2 + 73*t - 306. Let v be y(4). Let c = h + v. Is c a composite number?
False
Let n = 28141 + 48160. Is n a prime number?
False
Let u = 28 - 23. Suppose -u*t = 2*t - 140. Let l = 687 - t. Is l prime?
False
Let k(b) = 10*b - 90. Let r be k(9). Suppose r = 2*l - 4*d - 29402, 3*d = 85*l - 90*l + 73453. Is l prime?
False
Let r be (21 - -1)/(4/48). Suppose 268*m - 1660 = r*m. Is m a prime number?
False
Suppose -1172728 = -9*b - 2*b + 3*b. Is b prime?
False
Is (4/1)/1 + -89 + 3728 a composite number?
False
Let o(u) = 21*u + 45. Let y be o(-3). Is y/(-9) - ((-691 - 2) + 0) a composite number?
True
Suppose -10*o + 13*o + 982696 = 4*r, 0 = -3*r - 3*o + 737001. Is r a prime number?
True
Suppose -8*s + 3*s - 5 = 0. Let y(q) = -410*q + 1. Let j be y(s). Suppose -c + j = -2*r, -4*c = c + r - 2044. Is c a prime number?
True
Let m = 257981 - 121212. Is m a prime number?
True
Suppose -599*c = -1208*c + 594*c + 33329295. Is c a composite number?
True
Is 72948 + (18 - 19)*(-4 - 1) a prime number?
True
Suppose 30*y - 35 = 23*y. Suppose 42567 = y*w - 2*u, 4*u - 25534 = -3*w - u. Is w a prime number?
True
Let o = 71300 - 17173. Is o composite?
True
Suppose -233*h - 1495189 = -304*h. Is h a composite number?
False
Let c(z) = -2*z**3 - 6*z**2 - 12*z + 7. Let p(q) = -q**2 + 8*q + 8. Let t be p(5). Let y = -29 + t. Is c(y) composite?
True
Let n be ((-192)/28)/((10/(-224))/5). Suppose 1308 = 3*v - n. Suppose 2*u - 1094 = -l + 255, 3*l + v = u. Is u prime?
True
Suppose r = 2*g - 1058857, -7*g + 3706000 = -0*g - 3*r. Is g a prime number?
False
Let u be (0 + 1)*-16141 - (0 - 1). Is 1/(-2 - u/8068) a composite number?
False
Is (-1)/2 - (-4373890080)/960 composite?
True
Suppose 0 = 4*i - 3*h + 181, -3*h - 140 = 3*i - h. Is ((-84111)/598 + 2/13)*i a prime number?
False
Let k(t) = -8 - 17 + 5 - 101*t. Suppose -12*o = -3*j - 10*o - 31, -o = j + 17. Is k(j) a composite number?
True
Let i be (2161/(-5))/((-6)/(-30)). Let u = i - -5982. Is u prime?
True
Let n(o) = 5*o - 23. Let x be n(3). Is x/44 - (-124763)/187 prime?
False
Let n(w) = -w**3 + 4*w**2 + 4. Let p be n(4). Suppose 760 = h + 277. Suppose -h = d - p*d. Is d a composite number?
True
Let y(a) = -a**2 + a + 35. Let f be y(6). Is 2783 - ((f - 1) + 2) composite?
False
Let y = 428 + -434. Is 5578/3*(y + (-120)/(-16)) a prime number?
True
Let u(v) = 39*v - 893. Let t be u(23). Let s(k) = 2135*k + 3. Let r be s(4). Suppose t*g = r + 9053. Is g a composite number?
True
Let s = 19 + -19. Suppose s = -2*d + 7*d. Suppose -5*q + q + 3484 = d. Is q composite?
True
Is ((-496011)/(-1212))/((-1)/(-116)) composite?
True
Suppose -4136 = -11*b + 3*b. Let m = b - 438. Is m composite?
False
Let q(v) = v**3 - 5*v**2 - 9*v + 11. Suppose 4*h - 2*f = 54, f + 4*f - 30 = -5*h. Let p be q(h). Let a = p - -761. Is a a composite number?
False
Suppose 16*w = 1049 + 71. Let y = w + -51. Is y a prime number?
True
Let p(o) = 4*o - 1. Let w be p(-1). Is -3 - ((-7305)/3 + w) composite?
False
Let w be -2547*((-30)/9 + -4). Let q = w - 5355. Is q composite?
True
Suppose 4*d + 14 = 3*j, 0*d = d - 4. Suppose 0 = 2*z + 2*u - 13844, -u - u = z - 6917. Suppose j*h - 13*h = -z. Is h prime?
True
Let o(z) = -1641*z + 1048. Is o(-15) a composite number?
True
Let t be (-72346)/(-6) + (-12)/(-36). Suppose -5*c + 43477 = -t. Is c a prime number?
False
Suppose 6*n - 5247 = 5769. Suppose 4*v - 11160 = -n. Let z = v + -1534. Is z a composite number?
False
Let y(s) = -32*s**3 + s**2 + 2*s - 5. Suppose 4 = 7*o - 31. Suppose 2*x + 5 = -c, o*c - 4*c = 1. Is y(x) a composite number?
True
Suppose -12*v + 49 = -5*v. Let l(z) = 8*z**3 + 8*z**2 + 3*z + 34. Is l(v) composite?
False
Let u(b) = -35*b**2 - 19*b - 24. Let w be u(12). Is (-5 + w/(-8))*6/3 a prime number?
False
Suppose 0 = -4*j - 2*w + 290 + 56, -4*j = -w - 355. Let n = j + -86. Suppose -9292 = -n*y + 3*l, -l + 6*l = 10. Is y prime?
True
Let j(u) = 2*u + 15*u + 10*u**2 + 9*u + u**3 - 25*u**2 + 4. Let p be j(13). Suppose p*c - 3315 = 601. Is c a prime number?
False
Suppose 4*y = 5*y - 4*v + 814, -3*y + 2*v = 2462. Let q = 1270 + y. Let b = 31 + q. Is b a prime number?
True
Let p(t) = -t**3 - 44*t**2 + 46*t + 49. Let b be p(-45). Suppose -b*x + 1948 + 664 = 0. Is x composite?
False
Suppose -4*w + 4 = -j + 3, 4*j = -2*w + 86. Suppose -j = -4*k - 7. Suppose 0 = 3*g - 5*i + 677 - 6969, 6301 = k*g + 4*i. Is g a prime number?
True
Suppose -2*t + 7 = -5. Let k(q) = 2 - 9 - 35*q + 29*q + 32*q. Is k(t) a composite number?
False
Suppose -f - 3*a = 0, 14 = 8*f -
|
{
"pile_set_name": "DM Mathematics"
}
|
at comes next: 5708, 11364, 17020?
22676
What is next in -2516, -2467, -2386, -2273?
-2128
What comes next: -345, -1229, -2703, -4767?
-7421
What is next in -11, 78, 207, 382, 609?
894
What is next in 108, 328, 644, 1050, 1540, 2108, 2748?
3454
What is the next term in -65, -112, -159, -206?
-253
What comes next: 356, 1445, 3304, 5969, 9476, 13861?
19160
What comes next: -28, -114, -196, -226, -156, 62?
476
What comes next: 4681, 9628, 14575?
19522
What is next in -455, -802, -1147, -1490?
-1831
What comes next: -159503, -159515, -159527, -159539, -159551?
-159563
What is next in 2958, 2944, 2906, 2832, 2710, 2528, 2274, 1936?
1502
What is next in -167, -303, -439, -575?
-711
What is the next term in -764, -3534, -8144, -14588, -22860, -32954, -44864?
-58584
What is the next term in 191685, 191677, 191669, 191661?
191653
What is next in -2119, -8034, -17893, -31696, -49443?
-71134
What is the next term in 556, 1115, 1674?
2233
What is the next term in -869, -3370, -7521, -13316, -20749, -29814, -40505?
-52816
What comes next: 405, 832, 1261, 1692, 2125, 2560?
2997
What is next in 134487, 268966, 403445, 537924, 672403?
806882
What comes next: 67482, 67467, 67428, 67353, 67230, 67047?
66792
What is the next term in -39749, -39722, -39681, -39620, -39533, -39414, -39257?
-39056
What is next in 477953, 955909, 1433865?
1911821
What is the next term in 40960, 81904, 122848, 163792, 204736?
245680
What is the next term in -15716, -31460, -47232, -63032, -78860, -94716, -110600?
-126512
What is next in -9019, -9113, -9207, -9301, -9395?
-9489
What is the next term in -182831, -182822, -182813, -182804, -182795, -182786?
-182777
What is the next term in 6204, 24809, 55818, 99231, 155048, 223269, 303894?
396923
What is the next term in 1832, 3702, 5572?
7442
What comes next: 1793, 7133, 16033, 28493, 44513?
64093
What comes next: 11590, 11608, 11638, 11686, 11758?
11860
What comes next: -659, -754, -849, -944, -1039, -1134?
-1229
What is the next term in -66, -147, -242, -357, -498, -671, -882, -1137?
-1442
What comes next: -830, -6515, -21946, -51995, -101534?
-175435
What comes next: 107, 497, 1219, 2339, 3923, 6037, 8747?
12119
What is the next term in -821, -6654, -22495, -53348, -104217, -180106, -286019, -426960?
-607933
What comes next: 343, 31, -281, -593, -905, -1217?
-1529
What comes next: -140833, -140910, -141031, -141190, -141381?
-141598
What is the next term in -7516, -7533, -7576, -7657, -7788, -7981, -8248, -8601?
-9052
What comes next: 225, 194, 163, 132, 101, 70?
39
What is the next term in -398, -3374, -11464, -27230, -53234?
-92038
What is next in -1414, -1501, -1624, -1765, -1906, -2029, -2116?
-2149
What is the next term in 680, 675, 670, 665?
660
What is the next term in -43, -105, -171, -241, -315, -393, -475?
-561
What is the next term in -20936, -41875, -62814, -83753, -104692?
-125631
What is the next term in -283, -513, -743?
-973
What is the next term in -216, -242, -264, -282, -296, -306?
-312
What is the next term in 28038, 28007, 27978, 27951?
27926
What is the next term in -343, -316, -239, -88, 161, 532, 1049, 1736?
2617
What is next in 420, 854, 1576, 2586?
3884
What is the next term in -102, -232, -444, -738, -1114, -1572?
-2112
What is the next term in 316, 625, 934, 1249, 1576, 1921, 2290, 2689?
3124
What comes next: 135, 145, 117, 33, -125, -375, -735?
-1223
What is the next term in -131, -155, -195, -257, -347?
-471
What is next in -7066, -7057, -7034, -6985, -6898, -6761, -6562, -6289?
-5930
What is the next term in -17983, -35962, -53937, -71908, -89875, -107838?
-125797
What is the next term in 1922, 1815, 1570, 1133, 450, -533, -1870?
-3615
What is next in -43234, -43242, -43250, -43258, -43266?
-43274
What is next in -269, -461, -565, -581, -509?
-349
What is next in -1113301, -2226600, -3339899, -4453198, -5566497, -6679796?
-7793095
What is the next term in 17, -61, -139, -217?
-295
What is the next term in -9641, -19289, -28945, -38609, -48281, -57961, -67649?
-77345
What comes next: -1352, -1173, -700, 211, 1704, 3923, 7012?
11115
What is next in -4974021, -9948043, -14922065, -19896087, -24870109?
-29844131
What comes next: -1758, -7034, -15830, -28146, -43982, -63338, -86214?
-112610
What is next in -186, -209, -260, -351, -494, -701, -984?
-1355
What is next in -444, -613, -780, -945, -1108, -1269?
-1428
What is the next term in 752, 1570, 2388, 3206, 4024?
4842
What is the next term in -203, -251, -301, -353, -407, -463, -521?
-581
What is the next term in 12226, 12252, 12296, 12358, 12438?
12536
What is next in -1856, -1857, -1856, -1853, -1848, -1841?
-1832
What is the next term in -676, -2469, -5464, -9667, -15084, -21721, -29584?
-38679
What is the next term in -31785, -63566, -95333, -127080, -158801, -190490?
-222141
What is next in -87635, -87633, -87631?
-87629
What comes next: 141, 182, 307, 558, 977, 1606?
2487
What comes next: -4846, -8972, -13096, -17218?
-21338
What is next in -138, -1142, -3762, -8772, -16946, -29058, -45882, -68192?
-96762
What comes next: -32545, -32568, -32605, -32656, -32721?
-32800
What is next in -20167, -20204, -20235, -20260?
-20279
What is next in 186, 234, 284, 336, 390, 446, 504?
564
What comes next: 1707, 2897, 4087, 5277?
6467
What is the next term in 461, 919, 1371, 1817?
2257
What is the next term in 306, 978, 1652, 2328, 3006, 3686?
4368
What is next in -31967, -31984, -32017, -32072, -32155?
-32272
What is the next term in 97, 261, 537, 925, 1425, 2037, 2761?
3597
What is next in 23037, 23014, 22953, 22836, 22645, 22362, 21969, 21448?
20781
What is next in 182, 173, 164, 155, 146, 137?
128
What comes next: 1146, 1117, 1088?
1059
What is the next term in -2036, -1960, -1826, -1628, -1360, -1016?
-590
What is next in -1686, -1684, -1682, -1680?
-1678
What is next in 104993, 209978, 314963?
419948
What is next in 975, 2000, 3025, 4050?
5075
What is next in 46, 113, 186, 265?
350
What comes next: -146, -424, -736, -1100, -1534, -2056?
-2684
What is next in 3515, 3508, 3497, 3482, 3463?
3440
What is next in -598, -2310, -5162, -9154?
-14286
What is the next term in 142, 136, 138, 160, 214, 312, 466, 688?
990
What is next in 2600, 2601, 2602, 2603?
2604
What is the next term in -6087, -6067, -6037, -5991, -5923, -5827, -5697?
-5527
What is next in 3309, 3389, 3469?
3549
What is the next term in -1423, -1440, -1457, -1474, -1491?
-1508
What comes next: -295, -569, -823, -1057, -1271, -1465, -1639?
-1793
What is next in -2399, -2425, -2455, -2489, -2527, -2569?
-2615
What is the next term in -1971, -3957, -5941, -7923, -9903, -11881, -13857?
-15831
What is next in 3080, 6154, 9230, 12308, 15388, 18470?
21554
What comes next: -16015, -32032, -48049?
-64066
What is next in -656, -648, -642, -638, -636?
-636
What comes next: 781, 2933, 6497, 11473, 17861, 25661?
34873
What is next in 2623, 2808, 2993?
3178
What is next in 80654, 161344, 242036, 322730, 403426, 484124, 564824?
645526
What comes next: -10435, -41810, -94127, -167386?
-261587
What is the next term in -140860, -140861, -140862, -140863?
-140864
What is the next term in 2963, 11827, 26603, 47291?
73891
What is the next term in -36222, -36223, -36224?
-36225
What comes next: -46, -16, 30, 92?
170
What is the next term in 73424, 146848, 220270, 293690?
367108
What comes next: -899, -3405, -7511, -13211, -20499, -29369, -39815, -51831?
-65411
What is next in -3955, -15826, -35611, -63310, -98923, -142450, -193891?
-253246
What is next in 29018, 29022, 29028, 29036, 29046?
29058
What is the next term in -2282923, -2282922, -2282921?
-2282920
What is next in 1050, 2150, 3276, 4440, 5654?
6930
What comes next: -13767, -27525, -41283, -55041, -68799?
-82557
What is the next term in -306, -698, -1176, -1740, -2390, -3126, -3948?
-4856
What comes next: -174, -724, -1640, -2922, -4570, -6584?
-8964
What comes next: -72, 15, 190, 501, 996, 1723, 2730?
4065
What is next in -44939, -44929, -44919, -44909?
-44899
What comes next: -745909, -745908, -745907, -745906, -745905, -745904?
-745903
What is the next term in -777, -445, 379, 1941, 4487, 8263?
13515
What is the next term in -561036, -1122072, -1683108, -2244144, -2805180?
-3366216
What comes next: 188396, 188382, 188368, 188354?
188340
What comes next:
|
{
"pile_set_name": "DM Mathematics"
}
|
biggest value? (a) -1/2 (b) -195171 (c) 2/3 (d) 10 (e) 2/7
b
What is the second biggest value in -76206, 3/7, -14/27?
-14/27
Which is the smallest value? (a) -9 (b) 0.006 (c) 759
a
What is the third smallest value in -0.682, -24.2, -8, -5, -3, 3/4, -4?
-5
What is the second biggest value in -0.319, -73, 1/5, 0.1, -34, 3, 2?
2
Which is the smallest value? (a) 5 (b) -17600 (c) -0.1 (d) -35
b
Which is the biggest value? (a) -4.8 (b) 143 (c) -2.47 (d) -0.5
b
What is the sixth biggest value in 3/4, -0.3, -5, 118/13, 185, 1/9?
-5
Which is the sixth smallest value? (a) 1 (b) -0.15835 (c) 3 (d) 2/3 (e) -0.15 (f) -0.1
c
What is the fourth biggest value in -1/6, -3, -26, -15968?
-15968
What is the second biggest value in 69, -2, 0.016844, -4, 2/25?
2/25
Which is the sixth smallest value? (a) -17125 (b) -1 (c) 38 (d) 1 (e) -5 (f) -1/2
c
What is the third smallest value in -45/11, -4, -6255?
-4
What is the second biggest value in 1, 4, -342, -4/5, 5.2, 0.044?
4
Which is the third smallest value? (a) -6/25 (b) -0.4 (c) -129 (d) -1/7
a
What is the biggest value in 36.3, -33161, 0.13?
36.3
What is the third biggest value in -1, -0.4, -42434, -511?
-511
Which is the third smallest value? (a) 6 (b) 13 (c) 2/3 (d) 3/14 (e) 4 (f) -5 (g) 95
c
What is the third smallest value in -2/391, 0.19, 148?
148
What is the fourth smallest value in 27, -0.4, -4/3, 8, -2362?
8
What is the fourth biggest value in 2, -0.01, -147, -58/5, -2/37, 4?
-2/37
Which is the fourth smallest value? (a) -2/7 (b) -176 (c) -8.4 (d) -1
a
What is the sixth biggest value in -0.5, -2, -3/13, 0.2, -9, 2, 3/4?
-2
What is the seventh smallest value in -29, -5, -3/4, -2, 0.2, -2/159, -1?
0.2
What is the biggest value in 0.3073, 1/7, -160, 5?
5
Which is the second smallest value? (a) -0.131 (b) -2/5 (c) 779
a
Which is the fourth smallest value? (a) 2/7 (b) 14/13 (c) 84.6 (d) -9 (e) -7 (f) 5
b
Which is the fourth biggest value? (a) -6491 (b) -6 (c) 2/39 (d) 0.4
a
What is the third biggest value in 156, -1/5, 1299, -0.1, -0.5, 0.3?
0.3
What is the third smallest value in 0, 158, 2/7, 2278?
158
What is the second biggest value in 6, -76.41, -12?
-12
What is the third smallest value in 2.15499, -0.38, 2?
2.15499
What is the second biggest value in -0.0494, 5, -0.42, -1/12, -1?
-0.0494
Which is the fifth biggest value? (a) -12 (b) -74/7 (c) 4 (d) 2/67 (e) 17
a
Which is the third smallest value? (a) 16 (b) -142 (c) 22/35
a
Which is the smallest value? (a) -0.221 (b) 2.2 (c) 0 (d) -4
d
Which is the third smallest value? (a) -36467 (b) -0.04 (c) -1/3 (d) 0 (e) 1/10
b
What is the fifth smallest value in 36, -3, -4, -2502/5, 0.1?
36
Which is the fourth biggest value? (a) 3 (b) 1/2 (c) 0.1 (d) -3 (e) -300772 (f) 0.3
c
Which is the second biggest value? (a) -0.5095 (b) 1.3 (c) 0.37
c
Which is the fourth biggest value? (a) -1/6 (b) -4 (c) 5 (d) 4 (e) -0.3 (f) -68/21 (g) -0.15
a
Which is the second biggest value? (a) 1/5 (b) 15/4 (c) 4/45 (d) -0.2 (e) -0.23 (f) 0.4
f
Which is the second biggest value? (a) 4 (b) -2 (c) 25.46 (d) 2/541
a
What is the second smallest value in -5, 2.2, -0.5, -17067, 1/3?
-5
What is the second smallest value in -5/4, 61, -4, -39, 1/2, 17569, -2/3?
-4
What is the third biggest value in 0.06, -24.075, 1, 476?
0.06
Which is the fifth smallest value? (a) -0.1 (b) 3.88 (c) 1 (d) -0.4 (e) 55/3 (f) 0.14
b
Which is the fifth biggest value? (a) 87 (b) 0 (c) 1 (d) 0.21 (e) -8
e
Which is the smallest value? (a) -13 (b) 476.4 (c) 28 (d) 1/6 (e) -3
a
What is the second biggest value in -2/5, 2, 124, -164328?
2
Which is the smallest value? (a) 5 (b) 3 (c) -3/5 (d) 2815410
c
What is the second biggest value in 8, -19, -2/7, 2/11, -56, 0.2?
0.2
What is the fifth biggest value in 2/25, 3, 592, 0.1, 2, -0.023, 4?
0.1
What is the fourth smallest value in -5, -683, -2, 4/33, 0, 0.5?
0
What is the third smallest value in -2, -24023, -42.6?
-2
Which is the biggest value? (a) -400 (b) -1268 (c) 143
c
Which is the fourth biggest value? (a) 3 (b) 0.4 (c) 2/13 (d) 1/43 (e) 12 (f) -50.92
c
What is the second biggest value in -3107, 1/2, 68/31?
1/2
What is the third biggest value in 3, 4, 17/2, 238, 5/6, -0.11?
4
What is the fifth smallest value in -1/2, 1, -3, -0.01, 2, -0.2, -477?
-0.01
Which is the second smallest value? (a) -3 (b) -231 (c) 8742
a
What is the third biggest value in 1/88, 4, 7, -2/1799?
1/88
What is the smallest value in -5/6, 0.047, -1916?
-1916
Which is the biggest value? (a) 0.691 (b) -6 (c) 2/2143
a
Which is the fourth smallest value? (a) -1 (b) 1 (c) 15 (d) -579 (e) -0.4 (f) 78
b
Which is the biggest value? (a) 874 (b) -10 (c) -2/61 (d) 0.4 (e) 0 (f) -1/4
a
Which is the biggest value? (a) 75 (b) -0.5 (c) 3 (d) -34.9 (e) 0
a
Which is the third biggest value? (a) 0.08 (b) 5/3 (c) -2/27 (d) -5661 (e) 6
a
What is the third smallest value in 39, -1/5, -827/13?
39
Which is the fifth smallest value? (a) -0.15 (b) 1 (c) -1.1374 (d) 5/2 (e) 2 (f) -2/3
e
Which is the second smallest value? (a) 0.4 (b) -170 (c) 4 (d) 121448
a
What is the biggest value in 0.38622, 113, 0, -0.3?
113
Which is the biggest value? (a) 869/4 (b) 0.61 (c) 12/37 (d) 1/5
a
Which is the smallest value? (a) 0.28315 (b) 0.113 (c) 43
b
Which is the third biggest value? (a) 11.1148 (b) -1/958 (c) -0.2
c
Which is the fifth smallest value? (a) -573 (b) -7 (c) -4 (d) 5 (e) 32/11
d
Which is the fourth smallest value? (a) -0.5 (b) -2/7 (c) 2 (d) -3/8 (e) 1592.19
c
What is the fourth smallest value in -994, -5, 35/16, 0.5?
35/16
What is the fourth smallest value in 3/5, 6, -1/10, 0.0241, 2?
2
What is the fourth biggest value in -16, -0.6, -5/9, -2.24?
-16
What is the fifth smallest value in 0, 26, 3, 0.06, 2/5, 1.31, -0.4?
1.31
Which is the biggest value? (a) 11 (b) -517 (c) 88
c
What is the second biggest value in 0.2, 32, 0.9, 2.52?
2.52
What is the third biggest value in -6, 215, -520, 0.006?
-6
What is the fifth smallest value in -2, -9/4, 1, 0.13, 0.02, -0.4, 38?
0.13
Which is the second smallest value? (a) -7 (b) -196/15117 (c) -0.5 (d) 1
c
What is the biggest value in 4, 113, -9, -8, -28, -0.2?
113
What is the third biggest value in -3, -404, -3/1331, 26?
-3
What is the third biggest value in -2/7, 1, -2, -1.3802, -14?
-1.3802
Which is the smallest value? (a) 61 (b) 19 (c) 1.2 (d) -36
d
Which is the sixth smallest value? (a) -1/2 (b) 1/4 (c) -30 (d) 2/3 (e) 1/53 (f) -12
d
What is the third biggest value in -107, 5, 0.4, -7358?
-107
Which is the smallest value? (a) 1/7 (b) -15/7 (c) 1911 (d) 6
b
Which is the third biggest value? (a) -1/4 (b) 4 (c) 0.304 (d) -15616
a
Which is the fourth biggest value? (a) 120 (b) 277 (c) -0.2 (d) -95
d
Which is the fifth smallest value? (a) 4 (b) -1/8 (c) 1 (d) 1/5 (e) 3 (f) 561/2
a
What is the fourth biggest value in -5, -2, 0.5, 10, 9.5, -7?
-2
What is the third biggest value in -62.17, 2.6, 0.11, 4?
0.11
Which is the fourth biggest value? (a) 0.05 (b) -110 (c) -24 (d) -4 (e) 68
c
What is the smallest value in -13/3, 47570, -54?
-54
Which is the biggest value? (a) 33/4 (b) 7 (c) -0.047
a
Which is the smallest value? (a) 5 (b) 2 (c) 4932866
b
What is the second biggest value in 0.5, -5, -91.11, 2/3, -13, -4?
0.5
Which is the second biggest value? (a) 4281 (b) 178/9 (c) -0.017
b
Which is the fifth smallest value? (a) -2 (b) -4 (c) 4 (d) -91 (e) -3/58
c
What is the smallest value in -2/9, 762, -5, -912?
-912
Which is the fourth biggest value? (a) -4 (b) 8 (c) -2/21 (d) -122890
d
What is the sixth smallest value in 11, -4, 6, 7/5, 163/18, -1/7?
11
What is the fifth biggest value in 14, -5, 541, 0.1, -133, 5, 0.2?
0.1
Which is the smallest value? (a) -6 (b) 1.362 (c) -0.4 (d) -1/4 (e) 4
a
What is the smallest value in -0.04, 1/4, 39664, 4, -5?
-5
Which is the third biggest value? (a) 24/7 (b) 20 (c) -266
c
What is the smallest value in -27, 1846, 2/25, 6.8?
-27
What is the third smallest value in -0.05, 0, 31/2, 2, 74/27, 3?
2
What is the biggest value in 2/9, -5, 100, 33, -4, 0.5?
100
What is the second smallest value in 6/11, -32, 38, -4, 3/4?
-4
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
).
30*b**4 - 10*b**3
Expand (6*k - 2*k - 2*k)*(-426*k + 9 + 404*k - 4).
-44*k**2 + 10*k
Expand (23*m + 16*m - 50*m)*(-2*m + 6*m - 2*m)*(-2 + 1 - 1).
44*m**2
Expand -3 - 565*i + 543*i + 4 + (0*i + 3*i - i)*(3 + 4 - 6) + i + i + 0*i.
-18*i + 1
Expand (2*u**2 + u**2 - 4*u**2 + (u - 3*u + 4*u)*(3*u + 2*u - 3*u))*(-u + u + u**2).
3*u**4
Expand (6*o**2 + 8 - 15*o**2 - 4)*(3*o - 2*o - 4*o).
27*o**3 - 12*o
Expand (2*o - 2*o - 4*o)*(-17*o + 17*o - o**2) + (2*o**3 + 0 + 0)*(1 - 2 + 0).
2*o**3
Expand (-5*z**2 + 11*z**2 + 2*z**2)*(-34*z**3 - 33*z + 33*z).
-272*z**5
Expand (-2*i + 0 + 0)*(2*i**4 + 0*i**4 + 9*i**4).
-22*i**5
Expand (0 + 6021*s - 5999*s + 4)*(s**4 - 4*s**4 + s**4).
-44*s**5 - 8*s**4
Expand (-b**2 + 2*b - b**3 + 0*b**2 - b)*(1 + 3 - 3)*(-5 - 3 - 12).
20*b**3 + 20*b**2 - 20*b
Expand (-2*i**3 + 3*i**3 - 2*i**3)*(-5*i + 4*i - 264 + 435).
i**4 - 171*i**3
Expand (t + 3 - 3)*(-2 + 2 + 2*t**3) - t**4 + 2*t**3 - 2*t**3 + (4*t**3 - 54*t**3 - 30*t**3)*(3*t - t + 0*t).
-159*t**4
Expand (0 + 2 - 3)*(m - 5*m + 2 + 0) + (76 - 47 + 81)*(0 + 0 - m).
-106*m - 2
Expand 105*s**5 - 50*s**5 - 43*s**5 + (s**4 - 2*s**4 - s**4)*(-1 + s + 1) - s**5 + 3*s**4 - 3*s**4 + (-s**5 - 3 + 3)*(-2 + 1 - 1).
11*s**5
Expand 2*t**2 + 0*t**2 - 4*t**2 + (3*t**2 - 5*t**2 + t**2)*(1 - 2 - 5) + (t - 2 + 2)*(0*t + 2*t - 3*t).
3*t**2
Expand -x**3 - 2*x**3 + 11*x**3 + (2 - 2 - 1)*(3*x**2 - 3*x**2 - 2*x**3) - x**3 - x**3 + 3*x**3 + (-x**2 - 3*x**2 + 3*x**2)*(-4*x + 6*x + x).
8*x**3
Expand (4*b**3 + 0*b**3 - 20*b**2 - 2*b**3)*(3*b**2 - 6*b + 6*b).
6*b**5 - 60*b**4
Expand -2*l - l - 4 + l + (-8 - 2 - 4)*(3 - l - 3).
12*l - 4
Expand (-10 - 8 - 7)*(-j + j + 4*j).
-100*j
Expand 2*r**3 + r**3 + 30*r**3 + 3*r**3 - r**3 - 4*r**3 + (5 - 3 - 1)*(2*r**2 - 2*r**3 - 2*r**2) + 2*r**3 + 2*r**3 - 2*r**3.
31*r**3
Expand (0*a + 0*a + a)*(-3*a - 5*a + 2*a)*(11*a + 7 - 7).
-66*a**3
Expand (-1 + 1 - 2*s)*(-s - 2*s - 3*s)*(-s**2 - 6*s**2 + 2*s**2).
-60*s**4
Expand (3*m - 4*m - m)*(0 + 10 + 2)*(-4*m**3 + m**3 + 2*m**3).
24*m**4
Expand (1 + 0 + 0)*(-16996*v**5 + 22*v + 16997*v**5 - 4*v).
v**5 + 18*v
Expand 0*m + 0*m + m**2 + (-1 - 2*m + 1)*(m - m + 4*m)*(-3 + 3 - 5)*(0 + 4 + 0).
161*m**2
Expand (3 + 3 - 3)*(h - 3*h + 3*h)*(9*h - 9*h - 6*h**4).
-18*h**5
Expand (74 - 41 - 33 - 657*q)*(2 - 2*q - 2).
1314*q**2
Expand 2*a + a - 2*a + (14 - 14 + 14*a)*(2 + 4 - 5) - 3*a - 6*a + 0*a.
6*a
Expand (7*w**2 + 2*w**4 - 4*w**2 + 0*w**4)*(-2 + 3 - 3) + (19 - 19 - 2*w**2)*(-w**2 + 3*w**2 - w**2) + 0*w - 4*w**4 + 0*w.
-10*w**4 - 6*w**2
Expand (124*k**2 - 124*k**2 + 18*k**4)*(1 + 2 - 4 + (-2 - 4 + 5)*(-4 + 1 + 2) - 2 + 4 - 3).
-18*k**4
Expand (-2*h + h + 0*h)*(2 + h - 2) + 29232 + h + 5*h**2 - 29183 + 0*h.
4*h**2 + h + 49
Expand -x**3 - 2*x**3 + 4*x**3 + (-29*x + 5*x**2 + 0*x**2 - 3*x**2)*(18 - 18 + 3*x) + x**3 - 2 + 2.
8*x**3 - 87*x**2
Expand (1 + 1 - 1716*h + 1664*h)*(5 + 2 - 3).
-208*h + 8
Expand (-z**2 + z**2 - 2*z**2)*(2 - z - 2) + 4*z**3 - 6*z**3 + z**3 + (8*z - 9*z - 2*z)*(-2 + 2 + 2*z**2) - 6*z**3 + 3*z**3 + 14*z**3.
6*z**3
Expand (2 - 3 + 3)*(4*f - f - f) + 15*f - 51*f - 31*f.
-63*f
Expand -2*o**5 + 5*o**5 + o**5 + (0*o - o + 4*o)*(6*o**4 - 2*o**4 + 5*o**4).
31*o**5
Expand (2*a + a - a)*(-49*a**3 + 46*a**3 - 32*a**3) + 30 - 30 - 12*a**4.
-82*a**4
Expand (-41*s + 37*s**4 - 13*s - 39*s**4)*(7 + 10 - 1).
-32*s**4 - 864*s
Expand (0 - 5 + 2)*(3*v + 2*v**2 - 3*v) - 3*v**2 + 2 - 2 + 6 - v**2 - 11*v - 8*v + 18*v.
-10*v**2 - v + 6
Expand (-22*a**2 - a**3 + 22*a**2)*(25*a**2 - 3*a**2 - 6*a**2).
-16*a**5
Expand (0*k + 1 + k + k)*(0*k + 3*k + 3*k).
12*k**2 + 6*k
Expand (-6 + 3 + 1)*(4*s**2 + s**2 - 3*s**2)*(467 + 480 - 1245).
1192*s**2
Expand (-7 + 4 + 2)*(0 - 3*y + 0) + (2*y + 2 - 2)*(-2 - 2 + 0).
-5*y
Expand 5*y**2 - y**2 - 2*y**2 + (5 + 6 + 3*y - 12)*((2 + 0 + 0)*(-y - y + y) - 8*y + 5*y - 6*y - 3 + 3 + y).
-28*y**2 + 10*y
Expand 0*t + 0*t - 2*t + (0*t + 0*t - 6*t)*(-1 + 3 + 1) - 4*t + 5*t + 0*t + (1 + 1 - 3)*(-t + 2*t - 3*t) + 3*t - 3*t + 2*t.
-15*t
Expand t + t + 0*t + t - 4*t - 8*t + 0*t + 0*t + 2*t + t - 2*t - t + (3 + t - 3)*(1 - 3 + 1).
-10*t
Expand 3*t**4 + 0*t**4 + 0*t**4 + (-4*t**3 - 4*t**3 + 6*t**3)*(18*t - 13*t - 14*t) + 2*t**3 - 2*t**3 - 2*t**4.
19*t**4
Expand (-100*v - 307 + 307)*(0 + 2 - 1)*(-6 + 3 + 2)*(-2*v**3 + 2*v**2 - 2*v**2).
-200*v**4
Expand (-430*t**2 + 189*t**2 + 90*t**2)*(2*t + 1 - 1) + 0*t**3 - 2*t**3 + t**3.
-303*t**3
Expand (0 - w**2 + 0 + (22*w - 18*w - 15*w)*(2*w + 0*w - w))*(2*w**3 - 3*w**3 + 2*w**3).
-12*w**5
Expand (5 - 3 - 3)*(4 - 4 - 1)*(3 + 1 - 6)*(-549 + 549 + 22*p).
-44*p
Expand (131 + 80 - 74)*(3*x**3 - 2*x**3 + 2*x**3).
411*x**3
Expand (-5 + 17 - 48)*(-2 + 1 + 5)*(-z**4 + 2*z**4 - 3*z**4).
288*z**4
Expand -150*v - 26206 + 26206 + (-v + v + v)*(3 - 1 - 1).
-149*v
Expand (4*f**2 - 3*f**2 + f**2)*(176 + 128 - 534).
-460*f**2
Expand (-3*i**2 - 3*i**2 - 8*i**2)*(i**2 - 3 + 3) + 9*i**3 - 9*i**3 - 5*i**4.
-19*i**4
Expand (12*y - 7*y - 2*y)*(13*y**2 - 1330*y + 1330*y).
39*y**3
Expand (-3*t**3 + 3*t**3 - 2*t**3)*(-3*t - 8*t + 48*t) - 3*t**4 + 2*t**4 + 2*t**4.
-73*t**4
Expand (0 - 1 - 1)*(0*u**5 - 4*u**5 - 6*u**5 + u**3).
20*u**5 - 2*u**3
Expand (0*t**5 - t**5 + 3*t**5)*(21 - 12 + 19) - 3*t**5 + 3*t**5 - t**5 + (0*t**3 + 2*t**3 - t**3)*(-2*t**2 + 0 + 0).
53*t**5
Expand (-5*x + 0*x + 0*x)*(57*x + 48*x - 161*x)*(-x**2 + 2*x**3 + x**2).
560*x**5
Expand (-11*b + 6*b - 9*b)*(1735*b**2 + 0*b - 1733*b**2 + 4*b).
-28*b**3 - 56*b**2
Expand (-21 - 25 - 30)*(-c**2 + 0*c**2 - 4*c**2) + 0*c**2 - 3*c**2 + c**2.
378*c**2
Expand -4*z - 2*z + 4*z + 1 - 1 - z - 6*z + 0*z + 5*z + (4 - 2 - 3)*(-z + 4*z - 2*z) + z - 2*z - z + 2*z - 2*z - 2*z + (-7*z - 5*z - 34*z)*(1 + 1 - 1).
-55*z
Expand -4*j + 3*j**5 + 4*j + (j**3 + 0*j**3 - 8*j**3)*(-j**2 - 2*j**2 - 4*j**2 + (2*j + j - 4*j)*(-1 + 1 - j)) + 0*j**5 - 4*j**5 + 2*j**5.
43*j**5
Expand (0*f + 0*f - f)*(1 - 2 - 7 + (-1 - 4 + 2)*(2 - 1 - 4)*(-1 - 1 - 1)).
35*f
Expand (-1 - 1 + 0)*(-9*g + 14 - 14)*(-3 - 92*g**3 + 22*g + 182*g**3 - 93*g**3).
-54*g**4 + 396*g**2 - 54*g
Expand (4*w**2 + 4*w**2 - 6*w**2)*(-9*w - 34 + 71 - 35).
-18*w**3 + 4*w**2
Expand (-2 + 2 + 2*b)*(-7 - 2 - 2)*(-2 - 5 + 4) - 11*b - 5*b + 0*b.
50*b
Expand (-3*m**2 - m**2 + m**2 + (m - 2*m + 3*m)*(2*m - 3*m - 2*m))*(3 - 6*m - 3).
54*m**3
Expand 0*p**5 - 4*p**5 + 5*p**5 + (-2*p**3 + 5*p**3 - 2*p**3)*(360*p**2 - 1394*p + 1394*p).
361*p**5
Expand -4*p**2 + 51*p**2 + 14*p**2 + (3 - 2 + 1)*(-2 + 2 - 2*p**2).
57*p**2
Expand -2 + 9*d - 1 - 7*d + 4*d + 0*d + d + 2*d - 2*d + 2*d + 3*d - 6*d + 4*d + (-4*d + 0*d + 3*d)*(-1 - 1 + 1).
11*d - 3
Expand (-3*o - 2*o + 4*o)*(3*o + 5*o - 2*o + 8 - 8 + 16*o + (-5 + 5 + 2)*(0 + 0 + 2*o)).
-26*o**2
Expand (t**2 - 2*t**2 + 0*t**2)*(159*t**2 + 150*t**2 - 352*t**2 - 215*t**2 - 441*t**2).
699*t**4
Expand (-4 + 2 + 5)*(-3*i + 2*i - i) + 0*i - 3*i - 2*i + (-2 + 0 + 1)*(2 - 2 - i) - 3*i + i + 0*i + (4*i - 3*i + i)*(-1 - 1 + 1).
-14*i
Expand (5 - 9 + 24)*(-64 - 4*j + 62 + 12*j).
160*j - 40
Expand (-3 + 4 + 1)*(23*n**5 - 7*n**5 + 0*n**5).
32*n**5
Expand (4*c - 2*c - c)*(-c**3 + c**3 + 3*c**3) + 2*c**4 + 2*c**4 - 6*c**4 + (15*c**3 - 5*c**3 + 7*c**3)*(0*c - 5*c + 2*c).
-50*c**4
Expand (0 - n + 0)*(-3*n**2 + 4*n**2 - 3*n**2) + (-28*n - 4*n**2 + 28*n)*(-44*n + 13*n - 34*n).
262*n**3
Expand 52*j**5 - 104*j**5 - 24*j**5 + (0 - 1 + 2)*(2*j**5 - 5*j**5 + 2*j**5) - 2*j**5 - j**3 + j**3 + 4*j**5 + 0*j**5 - 3*j**5 + 0*j**5 + 0*j**5 - 4*j**5.
-82*j**5
Expand (30 - 32 + 29 + 34 + 28)*(-174 + 174 + 38*q).
3382*q
Expand (285*j - 18 + 12 - 397*j)*(j**3 + j**3 - j**3).
-112*j**4 - 6*j**3
Expand (-r + r + r)*(-r**3 + 2*r**3 + 6*r**3 + (-1 - 2*r + 1)*(-r**2 + 10*r - 10*r)).
9*r**4
Expand 7*h**3 - 8*h**3 + 11*h**3 + h**3 + 0*h**3 + 0*h**3 + (h + h**2 - h)*(2*h + 1 - 1) + (4*h + 0*h - 5*h)*(h + h**2 - h) + 390*h - 390*h - 22*h**3.
-10*h**3
Expand -256*q + q**5 + 245*q - 2*q**5 + (0*q**2 + 0*q**2 - 2*q**5)*(5 + 3 - 5).
-7*q**5 - 11*q
Expand (-118*b - 395*b - 15*b)*(-6 - 1 + 5).
1056*b
Expand (-7 + 5 + 1)*(3*z - 3*z - 2*z**2) - z**2 - 4*z**2 + 3*z**2 + (-5 + 0 + 3)*(3*z**2 - z**2 - z**2) - z**2 - 4*z**2 + 3*z**2.
-4*z**2
Expand -3*c**2 + c**2 + c**2 + (6*c + 12*c + 26*c)*(-c - c - c).
-133*c**2
Expand (-3*m**2 - m**2 + 3*m**2 + (m + 2*m - m)*(-3*m + 3*m - 2*m) + 5*m**2 - 3*m**2 - m**2 + 4 - 4 + m**2 + m**2 - 6*m**
|
{
"pile_set_name": "DM Mathematics"
}
|
)/i - 30/8. What is the units digit of ((-44)/1)/(a - -2)?
2
Let f(s) = s**2 - 2*s - 3. Let w be f(4). Suppose 4*p = w + 3. Suppose -p*n = -49 - 11. What is the units digit of n?
0
Let u = 629 + -382. Suppose -r + u = 1. What is the tens digit of r?
4
Suppose 8*h - 6355 = -667. What is the hundreds digit of h?
7
Let i(n) = 19*n + 1. Let h be ((-6)/4)/(27/(-18)). Let r be i(h). What is the tens digit of r/(1 + (-4)/12)?
3
Suppose 0 = g - 2*a - 2*a - 27, -3*g - 3*a + 36 = 0. Let c(q) = q**2 - 2*q + 53. What is the tens digit of c(g)?
4
What is the hundreds digit of 1/((-15)/(-6)) + 222432/70?
1
Suppose y + 3*y = -2*w + 1388, 4*w = 5*y - 1748. What is the tens digit of y?
4
Suppose 0 = 2*x - 5*t - 27, 5*x + 3*t + 2*t - 50 = 0. Suppose -x*d = -7*d - 1168. What is the units digit of d?
2
Suppose 5*u + 0*u - 9824 = -2*r, -2*u + 29472 = 6*r. What is the units digit of r?
2
Let f = 17 - 13. Suppose -5*u + 69 = p, f*p + 2 + 2 = 0. Suppose 3*s + 3*q - 66 = 0, u + 47 = 4*s - 5*q. What is the units digit of s?
9
Let f = -112 - -45. What is the units digit of (f/3)/(3/(-9))?
7
Suppose 0 = -3*l + 4*l - 229. What is the units digit of l?
9
Let r = 43 - 32. Suppose 2*u - 69 = -r. What is the units digit of u?
9
Let o = 36 - 34. Let i = 12 - o. What is the tens digit of i?
1
Suppose -76380 = -14*j - 5*j. What is the hundreds digit of j?
0
Let m(z) be the first derivative of 2*z**3/3 - 9*z**2/2 - 6*z - 239. Let y(c) = -4*c - 1. Let f be y(-2). What is the tens digit of m(f)?
2
Let s(q) = -q**3 + 2*q**2 + 2*q - 12. Let x be s(0). What is the hundreds digit of (x - -11) + (108 - 1)?
1
What is the tens digit of 1*178 + (-6)/6?
7
Let t = 33 - 28. Suppose -t*f = 0, 5*s - 6*f + 2*f - 215 = 0. What is the tens digit of s?
4
Suppose -9*k = -d - 4*k + 476, 5*k - 1854 = -4*d. What is the units digit of d?
6
Let m be ((-11)/22)/((-1)/4). Suppose -m*o + 5 - 4 = b, -3*o - 3 = b. Let x(n) = -n**3 + 10*n**2 - 6*n + 3. What is the tens digit of x(b)?
3
What is the tens digit of (-14)/77 - 1504/(-44)?
3
Let u = 5 + -2. Suppose u*n + 28 = 82. What is the tens digit of n?
1
Let r(i) be the first derivative of i**3/3 - 3*i**2/2 - 4*i - 76. Suppose -3*b = -3*o - 30, 4*b + 16 = 2*o + 52. What is the tens digit of r(b)?
3
Let k(s) = s**2 - 12*s - 18. Let t be k(15). Let a = t + -3. Let g = 37 + a. What is the tens digit of g?
6
Let h = 55 - 52. Suppose 3*u - 874 = -5*w, -389 = -5*w + h*u + 467. What is the tens digit of w?
7
Suppose m = 5*f - 2035, -4*m + 9*m = -25. What is the units digit of f?
6
What is the units digit of (-27288)/(-28) - 8/14?
4
Let w(j) = 14*j**2 - 14*j - 55. What is the units digit of w(-6)?
3
What is the hundreds digit of 2/3 + (-683422)/(-138)?
9
Let r(d) = -8*d - 7. Let q = 0 - 13. Let w be r(q). Suppose 0 = -k + 5*m + 15, 0 = -5*k + 4*m - m + w. What is the tens digit of k?
2
Suppose 821 = 5*i - 3*p, 2*p - 66 = -70. What is the tens digit of i?
6
Suppose -3*z = -538 - 107. What is the units digit of z?
5
Suppose g + 2*r - 150 + 45 = 0, 5*g = 3*r + 551. What is the hundreds digit of g?
1
Let c(i) = -5*i**3 - 7*i**2 + 36*i + 20. What is the hundreds digit of c(-10)?
9
Let r be 4*(-2 - 3/(-2)). Let d = -20 - -32. What is the units digit of (-6)/d + (-27)/r?
3
Suppose -56*i - 3666 = -62*i. What is the hundreds digit of i?
6
Let s(n) = 100*n + 7. Let z be s(3). Suppose 866 = 5*i - 4*l, 5*i - z = 2*l + 551. What is the units digit of i?
0
Let g(h) = 3*h**2 + 6*h + 4. Let c = -3 + 5. Suppose -14 = 3*u - c. What is the tens digit of g(u)?
2
Suppose -10*z - 4 = -11*z. Suppose -3*h - z*p = -2*h - 77, -4*p = 0. What is the tens digit of h?
7
Let f = -23 - -33. Let n(p) = -p**3 + 9*p**2 + 9*p + 23. What is the tens digit of n(f)?
1
Let i(g) = 5*g**3 + 2*g**2 + 2 + 0*g**2 - 5*g + g + 0*g**2. What is the tens digit of i(2)?
4
Let i(o) = o**2 - 5*o + 6. Let f be i(6). Let l(g) = -7*g**2 - g**3 - f*g + 7 + 2*g**3 - 4*g**2. What is the units digit of l(12)?
7
What is the hundreds digit of (-2)/8 - 31848/(-32)?
9
Let q(i) = -25*i + 4. Let d be q(-5). What is the tens digit of 6/9*d/(-12)*-6?
4
Suppose 8021 = 3*l - 5*t, 7*l + 5*t + 2657 = 8*l. What is the units digit of l?
2
Let x be (6/10 - 1)*-10. What is the tens digit of (-80)/15*(-42)/x?
5
What is the units digit of (3 + 366 - 7) + (3 - 1)?
4
Let y(i) = 27*i. Let b(g) = g**3 + 4*g**2 - 5*g + 4. Let w be b(-5). Suppose 0*t - 1 = -t - w*o, -5*t + 5 = o. What is the units digit of y(t)?
7
Suppose -208 = -10*h + 662. What is the units digit of h?
7
Suppose 2*k + 2080 = 3*k + 2*r, 3*k + 5*r - 6239 = 0. What is the hundreds digit of k?
0
Let g(x) = -2*x + 1. Let t be g(-2). Suppose t*d - 1 - 9 = 0. Suppose 3*o - d*o - 3*m = 31, -4*m = -o + 35. What is the tens digit of o?
1
What is the thousands digit of (184046/276)/((-3)/(-18))?
4
Suppose -2*r = -5*a + 26, -5*a + 0*r + 32 = r. Let l(k) = -k**3 + 7*k**2 - 4*k - 3. What is the units digit of l(a)?
9
Suppose -3*g = -3*a - 0*a + 15, 2*a = -3*g. Suppose 0 = -c + a*c - 134. What is the tens digit of c?
6
Let c = -16 + 28. Suppose 4*f - c = -0*f. Suppose -f*d + 12 = 0, 2*d - 3*d = 5*l - 9. What is the units digit of l?
1
Let u = -48 + 59. Let v = u + 19. What is the units digit of v?
0
Suppose 1735 = 5*m - y - 0*y, 2*m + 2*y = 682. What is the tens digit of m?
4
Let m be (-153)/(-7) - 24/(-168). Suppose -21*x + m*x - 13 = 0. What is the tens digit of x?
1
Let y = -17 - -33. Suppose y = -5*c + 201. What is the tens digit of c?
3
Let v = -254 - -523. Suppose 5*f + 4*q = 419, 0*f = 3*f - 2*q - v. What is the tens digit of f?
8
Let b(k) = 7*k**3 - 2*k**2 + 1. Let q be b(1). Let w = 131 + q. What is the tens digit of w?
3
Let r(p) = -8 + p**3 - 14*p - 12*p**2 + 26*p**2 + 28. Let s be r(-15). Let q(g) = -g + 21. What is the units digit of q(s)?
6
Let w be (-6)/(-8)*8/3. Let x be ((-8)/(-4))/(w/(-5)). Let s(n) = n**2 + 3*n - 7. What is the units digit of s(x)?
3
What is the tens digit of (148 + -2)*(-6)/(-12)?
7
Let u(n) = 254*n**2 + 11*n + 10. What is the tens digit of u(-1)?
5
Let b = 239 + -32. Let z = b - 105. What is the units digit of z?
2
Suppose 0*m - 2*m = -394. Let y = -122 + m. Suppose y = 2*c + n + 4*n, -4*c = -5*n - 75. What is the tens digit of c?
2
Let m(v) = -v**2 - 6*v - 3. Suppose 18 = -6*a - 12. What is the units digit of m(a)?
2
Let b be 4 - (4 - 6 - (-1 - 1)). What is the tens digit of 761/7 + (30/7 - b)?
0
Suppose 17*a = 15*a + 2. Let i be -48 - (-2 + a + -2). What is the units digit of 18/i - 244/(-10)?
4
Suppose -2*g = -326 - 382. What is the units digit of g?
4
Let a(o) = -o**2 - 7*o - 17. Let i be a(-4). What is the units digit of (-142*(i + 4))/2?
1
Let h = -10 - -21. Let u(s) = -s**2 + 12*s - 11. Let f be u(h). Suppose f = 2*z - 30 + 4. What is the units digit of z?
3
Suppose -4*w + 4104 = -3*q, -3*q + 2569 = 2*w + 535. What is the units digit of w?
3
Suppose 2*c + 3*c = 4*n + 16, -n - 4 = 2*c. Suppose c*w + 57 = 3*w. Suppose -3*v + 5*y = -0*v - w, 0 = -3*v - 2*y + 47. What is the units digit of v?
3
Let k = 7 - 2. Suppose a + 5*j + 10 = 3*a, k*j + 25 = 5*a. Suppose a*h = 4*d + 130, 5*d = -23 - 2. What is the units digit of h?
2
Let c(f) be the first derivative of -f**5/10 - f**4/3 - f**3/3 + f**2/2 - 10*f + 11. Let s(y) be the first derivative of c(y). What is the tens digit of s(-3)?
2
Suppose -2*v + 2*n - 90 + 826 = 0, -1474 = -4*v + 3*n. What is the tens digit of v?
7
Let w be (((-16)/20)/(1/(-5)))/(-2). What is the units digit of ((-12)/(-20) + (-893)/5)/w?
9
Let r = -10 - -16. What is the tens digit of -73*4/r*24/(-16)?
7
Let q(f) = -24*f + 33. What is the units digit of q(-31)?
7
Suppose 3*f - 8*f - 3*j - 385 = 0, -2*j + 360 = -5*f. Let a = f + 198. What is the tens digit of a?
2
Let f(y) = y**3 + 11*y**2 + 7*y - 12. Let a be f(-9). Let n = a - 42. What is the units digit of n?
5
Let r = -26 + 35. Suppose -20 = 5*i, -m - 21 = 5*i + r. Let f(a) = -a**2 - 12*a - 19. What is the units digit of f(m)?
1
Suppose l - 2098 = -5*a, -a - 5*l + 315 + 95 = 0. What is the hundreds digit of a?
4
Let r be 15/10*20/(-6). Let j = r - -53. What is the units digit of j?
8
Suppose -623 = -5*a + 737. Suppose -o - o - a = -4*m, -m + 50 = -5*o. What is the tens digit of m?
7
Suppose z + 3 = -y + 2, 2*z - y = 13. Suppose z*k = k + 30. Let d = k - -64. What is the tens digit
|
{
"pile_set_name": "DM Mathematics"
}
|
(-g + 2*g + g).
9*g
Expand 2*q**4 - 2*q**4 - q**4 + 0*q**3 + q**4 + 0*q**3 + (3*q**3 + 2*q**3 - 4*q**3)*(-3*q - q - 3*q).
-7*q**4
Expand (t**2 - 3*t**2 + 3*t**2)*(-1 + 2 + 0)*(-1 + 0 + 0).
-t**2
Expand (2*d - 2*d - 3*d)*(1 - 1 - 2*d**3 + (d**2 - 4*d**2 + 2*d**2)*(5*d - d - 2*d) - 6*d**2 - d**3 + 6*d**2 + (d**2 + d**2 - 4*d**2)*(-1 - d + 1)).
9*d**4
Expand (5*v**3 - 2 + 2 + (2*v**2 - v**2 - 2*v**2)*(-v - 4 + 4))*(2*v - v - 2*v).
-6*v**4
Expand (-14*g**2 + 14*g - 14*g)*(g - g - g) + g**3 - 2*g**2 + 2*g**2 - 2*g**3 + 3*g**3 + 0*g**3.
16*g**3
Expand (-2*q + 2*q + 3*q**3 + 1)*(71 + q - 3*q - 73) + q**3 - q**3 + 2*q**4.
-4*q**4 - 6*q**3 - 2*q - 2
Expand (-2*j + 1 - 1)*(3*j**2 + 2*j**2 - 2*j**2) + 3*j**3 + 2*j**3 - 3*j**3 + (2*j**2 - 2*j**2 + 2*j**2)*(-3 + j + 3) - j**2 + j**2 + j**3.
-j**3
Expand (2 - 2 - p)*(3*p**3 - p**3 - 4*p**3) + 3*p**4 - 4*p**4 + 2*p**4 - 2*p**4 + 4*p**4 + 2*p**4 + 0 + 0 + 2*p**4.
9*p**4
Expand (0*w - 2*w + 4*w)*(16*w + 3*w + 2*w).
42*w**2
Expand (-2*n + n - 2*n)*(-3*n**2 + n**2 + 3*n**2)*(22 - 10 + 2).
-42*n**3
Expand (-2*p - 10*p + 0*p)*(-2*p**2 + 2*p**2 + 2*p**2).
-24*p**3
Expand (-4*z**2 + z**3 + 4*z**2)*(4*z - 2*z - z + (-4 + 3 + 0)*(3*z - 3*z - 4*z) + 6*z + 7*z - 2*z).
16*z**4
Expand (-3*s**4 + 0*s**4 + 4*s**4)*(-1 - 1 + 1) - s**4 + s**4 + s**4 + (-8*s - 4*s**2 + 8*s)*(2 - 2 - 2*s**2) + s**4 + s**4 + 0*s**4 - s + s**4 + s.
11*s**4
Expand (-3*l + l + 3*l)*(1 - 6 + 3) - 2*l - 3*l + 4*l + (-3 + 3 + 2)*(-2*l - l + 5*l + 5 - 5 + 4*l + (2*l - 2*l - l)*(3 + 3 - 4)).
5*l
Expand u**2 + u**2 + u**2 + (2*u + 1 - 1)*(u - 1 + 1) + 4*u**2 - 4*u**2 - u**2.
4*u**2
Expand (-3*h + 2*h - 1 + 0*h)*(3*h**2 + h**2 + 4*h**2).
-8*h**3 - 8*h**2
Expand (0*t + 3*t**2 + 0*t)*(3*t**2 - 2*t**2 + t**2) - 6*t**2 + 2*t**2 + t**4 - 3*t**2.
7*t**4 - 7*t**2
Expand -7*d**3 - 2*d**3 + 3*d**3 - 3*d**2 + 3*d**2 + d**3 + (-d**2 + d**2 - 2*d**2)*(-4*d + 2*d - d).
d**3
Expand 0*d - d + 3*d - d - d + d + (-2 + 5 - 1)*(4*d - d - 5*d) + 2*d - 3*d + 2*d + 5*d + d - 5*d + (-2 - 3 + 4)*(d - 8 + 8).
-2*d
Expand (-2*a**2 + 4*a**2 + 0*a**2)*(-2 - 1 + 5) - 2*a**2 + 0*a**2 + a**2 + 11*a + 8*a + a**2 - 15*a.
4*a**2 + 4*a
Expand -2*b**4 - 2*b**4 + 5*b**4 + (0*b**2 + 0*b**2 + b**3)*(-2 + 2 - 2*b) + 2*b**4 - 9*b**4 + 0*b**4.
-8*b**4
Expand (2*y**2 - 5*y**2 + y**2)*(3 - 1 - 4) + (y + 0 + 0)*(-4*y + y + 2*y) + (y + 0*y - 3*y)*(2*y + y - 5*y) + 15*y**2 - y**2 + 6*y**2.
27*y**2
Expand 4*o**3 + 8*o**3 - 8*o**3 + (4*o**2 - 3*o**2 - 2*o**2)*(-2*o + 2*o - 2*o).
6*o**3
Expand (-4 + 2 + 1)*(2*h**3 + 0*h**3 + 0*h**3 + (5*h**2 - 3*h**2 - 4*h**2)*(-5*h + 4*h + 3*h) + 2*h - h + 0*h**3 + h**3).
h**3 - h
Expand (4 - 4 - 2*k**2)*(-5*k**3 + 4*k**3 - 2*k**3) + 14*k**5 + k**5 - k**5.
20*k**5
Expand (0*c - 3*c + 2*c)*(7 + 3 + 41 - 4).
-47*c
Expand (-w + w + w)*(2*w + 0*w + 0*w) + 3*w**2 + w**2 - 2*w**2 - 6*w**2 + 4*w**2 + 7*w**2.
9*w**2
Expand (n - 3*n**5 - n)*(-4 + 1 + 2)*(2 + 2 - 1).
9*n**5
Expand (2*o**2 - 3*o**2 - o**2)*(3*o - 6*o + 2*o) + 0*o**2 + 0*o**2 + 3*o**3 + (-3*o + 3*o + 4*o)*(3*o - 2*o**2 - 3*o).
-3*o**3
Expand (-2 + 4 + 3)*(-3*u + 4*u + 0*u - 2*u + 3*u - 2*u + (-1 - 4 + 3)*(-u + 3 - 3)).
10*u
Expand (-3*c**2 - 4*c + 4*c + (2*c - c + 0*c)*(-2*c - 2*c + 2*c))*(2*c**3 - 3*c**3 + 3*c**3).
-10*c**5
Expand (l**4 - 6*l**4 - l**4 + (-3*l + l + l)*(2*l**3 - 2*l**3 + 2*l**3))*(-l + 3*l + 0*l).
-16*l**5
Expand f**5 - f**4 + f**4 + f**5 - 3*f**5 + 3*f**5 + f**5 + f**5 - 4*f**5 - 2 + 2*f**5 + 2 + (-f**2 + f - f)*(-f**3 - f**3 + f**3) + 54*f**5 - 5*f**4 + 5*f**4.
57*f**5
Expand (0*w - 5*w + 3*w)*(w**2 + 10*w**2 - w**2)*(-4 + 2*w + 4).
-40*w**4
Expand (2 - 2 + 4*a)*(3 - 1 - 1) + (7 - 7 - 13)*(a - 5 + 5).
-9*a
Expand (2 - 1 - 2)*(0*i**2 + 0*i**2 - 2*i**2) - 7*i**2 - 3*i**2 - i**2.
-9*i**2
Expand -2*n**5 + 2 - 2 + 0*n**5 + 4*n**5 + n**5 + 2*n**5 + n - n + (3*n + n - 3*n)*(2*n**4 - 4*n**4 + n**4).
4*n**5
Expand (4*i - 6*i + 3*i)*(15*i**2 + 6*i**2 - 7*i**2) + i**3 + 0*i**3 + 2*i**3.
17*i**3
Expand 2*j**5 + 3*j**5 - 9*j**5 + (-2*j**4 + j**4 + 2*j**4)*(3*j - j + 0*j).
-2*j**5
Expand (4*f + 3*f + 2*f)*((-1 - 3 + 2)*(-1 + 3 - 1) - 2 - 1 + 1).
-36*f
Expand (3*k + 7 - 7)*(-3*k**2 + 0*k**2 - 11*k**2).
-42*k**3
Expand (-5*d + 2*d + 2*d)*(-1 + 1 + 5) + (d + 2 - 2)*(-1 - 2 + 5).
-3*d
Expand 2*m**3 - 2*m**3 - 2*m**3 + 0 + 4*m**3 + 0 + (2*m - m + m)*(0 - 2*m**2 + 0) - m**3 - 2*m**3 + 4*m**3.
-m**3
Expand (-3 + 2 + 0)*(2*b + b - 5*b) + (-3*b + 0*b + 2*b)*(-1 - 2 + 0).
5*b
Expand (5*v - 6*v + 2*v)*(1 - 1 + 2*v) + 3*v + 2*v**2 + 6*v - 10*v.
4*v**2 - v
Expand -l + 1 - 4 + 1 + (-1 + 14 - 4)*(l - 2*l + 0*l).
-10*l - 2
Expand (0*g**3 - 5*g**3 + 4*g**3)*(5 + 2 + 13).
-20*g**3
Expand (-3 + 3*a + 3)*(-2 + 5 - 1).
6*a
Expand -9*j - 83 - 7*j + 79 - j + 0 + 0 + (3*j - 4*j + 3*j)*(2 + 4 - 4).
-13*j - 4
Expand ((3 + f - 3)*(-7*f - 38*f - 27*f) - 2*f + 2*f + 2*f**2)*(f**2 - 1 + 1).
-70*f**4
Expand 4*u**3 - u**3 - u**3 - 4*u**2 - 2*u**3 + 31 - 31 + (-5 + 5 - u**2)*(0*u + u - 3*u) - 3*u**3 + 5*u**3 - u**3.
3*u**3 - 4*u**2
Expand ((-3*w + 3*w + w)*(-2 + 1 + 2) + 2*w - 4 + 4)*(-2*w**2 + 3*w**2 + 3*w**2)*(0 + 2*w + 0).
24*w**4
Expand (-2*o + 0*o + 3*o)*(-o - 1 + 1) + 2*o**2 + 0*o**2 + 6*o**2 + o**2 + 0 + 0.
8*o**2
Expand (-5 + 32 + 5)*(-2 + 2 - 2*z**3) + z**3 - z**3 - 2*z**3.
-66*z**3
Expand 1 - b - 1 + 12 - 12*b - 12 - b - 1 + 1 + (0 - 2*b + 0)*(-1 + 2 - 3) - b + 2*b + 0*b.
-9*b
Expand (-3 + 5 + 0)*(-10*z**2 - 3*z**2 + 4*z**2).
-18*z**2
Expand 2*p**2 - p**3 - 2*p**2 + 5*p**3 + 3*p**3 - 3*p**3 + (1 - p**3 - 1)*(-2 + 0 + 0) + p**3 - 2*p**3 + 0*p**3 + 2*p**3 + 3*p**3 - 4*p**3.
6*p**3
Expand (f**4 - f**4 - 2*f**5)*(-1 + 2 + 0).
-2*f**5
Expand (2 - 2 + 2*i)*(31 - 187*i - 187*i + 372*i).
-4*i**2 + 62*i
Expand (0 + 0 - p)*(-4 + 5 - 5)*(-4 + 1 - 2).
-20*p
Expand (2*v + v - v)*(0*v**3 - v**3 + 2*v**3) + 0 - 3*v**4 + 0.
-v**4
Expand (x**2 + x**2 - 4*x**2)*(-17 - 13 + x + 1).
-2*x**3 + 58*x**2
Expand (0*g - 2*g - g + (-3 + 5 - 1)*(3*g + 0*g - 5*g))*(23 - 20*g - 23).
100*g**2
Expand -2*h + 2*h**5 + 2*h + (0*h - 3*h + 0*h)*(-h**4 + 1 - 1) - 7*h**5 - 6*h**5 + 2*h**5.
-6*h**5
Expand (2*d**2 + 2*d**3 - 2*d**2)*(3 + 0 - 1) + d**3 - d**3 + d + 2*d**3.
6*d**3 + d
Expand (5 - 3*a - 5)*(1 - 8 + 4) + a - 1 + 1 + (-4*a + a + 2*a)*(0 + 3 - 5).
12*a
Expand (14*a**2 + 25*a - 25*a)*(2 - 2*a**2 - 2).
-28*a**4
Expand -2*m + 2*m + m**5 + (0*m + 2*m**2 + 0*m)*(-4*m**3 + m**3 + m**3).
-3*m**5
Expand (0 + 0 + 2*r**3)*(-2 + 2 + r**2) - 52*r**2 + 52*r**2 + 3*r + 3*r**5.
5*r**5 + 3*r
Expand (-2 + 2 + 3)*(2*m**3 + 3*m**3 - 2*m**3) - m**3 + 0*m**3 - m**3.
7*m**3
Expand (4*f**4 - f**4 - 5*f**4)*(25*f - 9*f + 8*f - 1).
-48*f**5 + 2*f**4
Expand -1 + 1 + 3*j**5 + (-7*j**2 + 0*j**2 + 2*j**2)*(-j**3 + 3*j**3 + 0*j**3).
-7*j**5
Expand (-10 + 15 - 5*j - 3)*(5*j**2 + 2*j**2 - 4*j**2)*(-3 + 2*j**2 + 3).
-30*j**5 + 12*j**4
Expand (9*r**2 + 3*r - 4*r + 0*r)*(r - 4*r + r).
-18*r**3 + 2*r**2
Expand (2 - 2 + 4*j**2)*(5*j - 2*j - j + (2 - 1 - 2)*(-8 + 8 + 4*j) - 1 + 3 + 0*j - j).
-12*j**3 + 8*j**2
Expand (-3*z**4 - 3*z**2 + 3*z**2)*(3 + 2 + 2*z - 4).
-6*z**5 - 3*z**4
Expand (0 + 0 - n)*(-4*n + 2*n - 5*n) + 3*n**2 - 2*n**2 + 0*n**2 + 0*n**2 + n**2 + 0*n**2 + (0*n**2 - n**2 + 3*n**2)*(-4 - 1 + 3) + 2*n**2 - 3 + 3.
7*n**2
Expand (0 + 0 - 1)*((0 + 2 - 3)*(y - 7*y + 4*y) - y - 2*y + 5*y)*(2 - 2 - 1).
4*y
Expand (-137*b + 137*b + 46*b**2)*(2*b**2 - 3 + 3).
92*b**4
Expand -i**3 + 2*i**5 + i**3 + (-i**4 + i**4 + 2*i**5)*(-1 - 1 + 3) - 8*i**5 + 3*i**4 - 3*i**4.
-4*i**5
Expand (2*k - 2 - k + k)*(-12*k + 4*k - 2 + 6*k).
-4*k**2 + 4
Expand (-2 + 2 - 2)*(v**4 - 6*v**4 + 3*v**4) - 2*v**4 - 2*v**4 + 3*v**4.
3*v**4
Expand (3*y**2 - 2*y**2 + y**2 + (-2*y + 0*y + 4*y)*(-5*y + 5 - 5))*(2 - 2*y - 2) + 5*y**3 - 2*y**3 - 2*y**3.
17*y**3
Expand 34 - 34 + 7*g**2 + (2 - 1 + 1)*(0*g**2 - 2*g**2 + g**2).
5*g**2
Expand t**4 - 2*t**4 + 0*t**4 + (t**2 - 3*t**2 + t**2)*(-2 + 2 - t**2 + 4 + 2*t**2 - 4 + (2*t + 2*t - 3*t)*(t + 1 - 1) + 0 + 0 + 2*t**2).
-5*t**4
Expand -64*c**3 + 64*c**3 - 25*c**4 + (0*c**4 + 0*c**4 + c**4)*(1 + 1 - 1).
-24*c**4
Expand 8*g**2 + 5*g - 5*g + (-3*g**2 + 3*g**2 - 2*g**2)*(3 - 4 + 3).
4*g**2
Expand (-2*y + y + 0*y)*(y**3 - 2*y**3 + 2*y**3) + (0 + 3 - 2)*(3*y**4 + 2*y**4 - 4*y**4) + 2 - 4*y**4 - 2.
-4*y**4
Expand 128*s - 114*s + 98*s + (-3*s + 5*s - 3*s)*(3 - 4 + 0).
113*s
Expand (2 + 0 +
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the third derivative of c(x) wrt x?
-1440*x
Let g(w) = 4*w**2 - 69*w - 858. Let h(c) = c**2 - 24*c - 286. Let s(r) = 2*g(r) - 7*h(r). Differentiate s(x) with respect to x.
2*x + 30
Let l = -51 - -60. Find the second derivative of -10*t**2 - 6*t - 9*t + l*t wrt t.
-20
Find the first derivative of 190 - 14*z**4 - 5*z**3 - 6*z**3 + 19*z**4 wrt z.
20*z**3 - 33*z**2
Let m(a) = -32*a**4 + a**3 + a**2 - a + 13. Let k(b) = -2*b**4 - b**3 - b**2. Let r(j) = k(j) + m(j). What is the second derivative of r(f) wrt f?
-408*f**2
What is the derivative of -233*b + 705*b + 233 - 310*b wrt b?
162
Let m(a) be the second derivative of 0*a**2 - 13/30*a**6 - 14*a - 7/12*a**4 + 0 + 0*a**5 + 0*a**3. What is the third derivative of m(x) wrt x?
-312*x
Let s(l) = -l + 1. Let j(v) = 6*v - 23. Let x(r) = -j(r) + s(r). Let c(k) = 15*k - 47. Let u(t) = -2*c(t) - 5*x(t). Differentiate u(w) wrt w.
5
Let m(k) be the second derivative of k**4/12 - k**3/6 - k**2/2 - 2*k. Let l(y) = -14*y**2 + 3*y - 1. Let a(f) = -l(f) - 3*m(f). Differentiate a(q) wrt q.
22*q
Let k = -115 + 117. Differentiate -5 - 10 - 4 + 5*n**k - 5 with respect to n.
10*n
Suppose -6*h + 4*h + 10 = 0. What is the derivative of 56*t**2 - 56*t**2 + h + 11*t**4 - 3*t**4 wrt t?
32*t**3
Let d(j) be the first derivative of 34 + 0*j**4 + 3*j**2 - 18/5*j**5 + 0*j + 0*j**3. What is the second derivative of d(l) wrt l?
-216*l**2
Let g(y) = -y**4 - y**2 - 2. Let w(x) = 190*x**4 - 304*x**2 + 5. Let j(f) = 2*g(f) + w(f). What is the third derivative of j(n) wrt n?
4512*n
Let s(r) = -2*r**2 + 10*r. Let a be s(5). Let l(o) be the first derivative of -3/4*o**4 + a*o - 2 - 3/2*o**2 + 0*o**3. Find the second derivative of l(v) wrt v.
-18*v
Let d(j) be the third derivative of 1/3*j**5 + 0*j - 8*j**2 + 0*j**4 + 0*j**3 + 3/70*j**7 + 0*j**6 + 0. What is the third derivative of d(v) wrt v?
216*v
Suppose -1 = -4*l + 67. What is the third derivative of 2*v**2 + 81*v**5 - l*v**2 - 55*v**5 wrt v?
1560*v**2
Find the third derivative of 1601*d - 1594*d - 485*d**3 - 9*d**2 + 55*d**2 wrt d.
-2910
Let t(p) = -p + 1. Let j(w) = -5*w - 10. Let h(u) = -j(u) + 4*t(u). Let r be h(-6). What is the first derivative of 4 + r*z + 3 - 13 wrt z?
8
Let a(o) be the third derivative of o**6/30 + o**5/20 - 35*o**4/8 + 19*o**2. What is the second derivative of a(s) wrt s?
24*s + 6
Let a(v) = 34*v**2 - 20*v - 554. Let p(u) = 11*u**2 - 8*u - 185. Let f(l) = -4*a(l) + 11*p(l). Find the first derivative of f(q) wrt q.
-30*q - 8
Let m = 58 - 56. What is the first derivative of j**m - 10 - 1 + 12*j**2 - 25 wrt j?
26*j
Let n(i) be the third derivative of -5*i**4/3 + 67*i**3/3 + 2*i**2 - 57. Differentiate n(r) wrt r.
-40
Suppose -2*o + 11 = m, -7 = -5*m + 5*o + 3. What is the second derivative of 3*z**5 - 8*z + 0*z - z**5 - 8*z**m wrt z?
-120*z**3
What is the derivative of 470 + v**2 - 2*v - 667 - 2*v**2 - 6*v**2 wrt v?
-14*v - 2
Let y(g) = -8*g**2 + 1. Let h be y(-1). Let p = h + 9. Find the third derivative of 5*q**3 + q**2 + 3*q**p - 2*q**2 wrt q.
30
Let l = 9 - 7. Differentiate l*n + 11*n - 5*n + n**2 - 2*n**2 - 44 wrt n.
-2*n + 8
Suppose -4*k = -2*f + 35 - 117, -2*k + 66 = 4*f. Differentiate 6 + 23 - 9 - k*r - 1 with respect to r.
-23
Let j(f) be the second derivative of 0*f**3 + 0 + 0*f**4 - 2*f**2 + 3/4*f**5 + 12*f. What is the derivative of j(u) wrt u?
45*u**2
Let h(s) be the second derivative of -229*s**5/20 - 25*s**3/3 + s**2 - 46*s. What is the second derivative of h(j) wrt j?
-1374*j
Let i be ((-8)/24)/(2/12). Let m be 56/12 - i/(-3). Find the second derivative of -2*d**m - 7*d + 3*d + 6*d**4 - 6*d wrt d.
48*d**2
Let a(i) be the second derivative of -9*i**7/2 + i**4/6 - 45*i**3/2 - 17*i - 3. Find the third derivative of a(b) wrt b.
-11340*b**2
Let m(g) = -17*g**4 + 2*g**2 - 2. Let h = 19 - 10. Let p(v) = 67*v**4 - 8*v**2 + 9. Let j(r) = h*m(r) + 2*p(r). What is the third derivative of j(w) wrt w?
-456*w
Suppose -5*i + 22 = 3*v, 0 = 6*v - 4*v - 8. Find the third derivative of 3*g**i - g**6 - g**2 - 6*g**2 wrt g.
-120*g**3
Let m(g) be the second derivative of -41*g**6/30 - 7*g**4/12 - 595*g**2/2 + 513*g. Differentiate m(v) wrt v.
-164*v**3 - 14*v
Let c(u) be the first derivative of -u**10/1260 + u**6/36 + 17*u**3/3 + 5. Let f(k) be the third derivative of c(k). What is the third derivative of f(a) wrt a?
-480*a**3
Let b(o) = 70*o**3 + 2*o**2 - 2*o + 3. Let l be b(2). Find the third derivative of 14*s**2 - 3*s**3 - 567*s + l*s wrt s.
-18
Let u(d) be the first derivative of 0*d**3 - 2*d**2 + 8 + 0*d - 13/4*d**4. Find the second derivative of u(p) wrt p.
-78*p
Let s be (-30)/(-2) - 4 - -4. Differentiate s + 2*l**3 - 10 + 8*l**3 with respect to l.
30*l**2
Let w be (21 + -12)/(-1 + 10/4). Find the second derivative of 19*g**2 + w + 2*g + 3*g + 34*g**2 - 3 wrt g.
106
Let c(j) be the second derivative of -j**6/180 + 7*j**5/120 + j**4/2 - 10*j. Let o(s) be the third derivative of c(s). Differentiate o(i) with respect to i.
-4
Let a be (-14)/(-10) - 2/5. Let g(y) = y**2 + 8*y + 7. Let j be g(-7). Find the first derivative of j*m**2 + 5*m**4 + a + 0*m**2 - 3 wrt m.
20*m**3
Let d(u) = -u**3 + 2*u + 1. Let m(r) = -340*r**3 - 180*r**2 - 4*r - 3. Let w(x) = -3*d(x) - m(x). Find the third derivative of w(g) wrt g.
2058
Suppose b - 8 = -f + 5*b, 0 = f - b - 5. What is the first derivative of -2*i**3 - 5 + f + 9*i**3 wrt i?
21*i**2
Let w = -81 + 83. What is the second derivative of 4 - 4*a + 287*a**4 - 295*a**4 + a - w*a**5 wrt a?
-40*a**3 - 96*a**2
Suppose 5*p - 7 = 8. Suppose z + 20 = 3*m, 5*m - 6*z + 4*z = 35. What is the third derivative of p*o**5 + 4*o**5 + 7*o**2 - 13*o**m wrt o?
-360*o**2
Let j(l) = -74*l**4 + 2*l**2 + 45*l. Let c(t) = 223*t**4 - 7*t**2 - 134*t. Let s(x) = 2*c(x) + 7*j(x). What is the second derivative of s(o) wrt o?
-864*o**2
Let r(y) = y**2 - 1. Let n(a) be the first derivative of -4*a**3/3 + 3. Let h(j) = -n(j) - 5*r(j). What is the derivative of h(z) wrt z?
-2*z
Let y(h) = -31*h - 120. Let t(a) = -30*a - 119. Let l(g) = 2*t(g) - 3*y(g). Differentiate l(z) wrt z.
33
Let z = -131/8 + 199/12. Let t(u) be the third derivative of z*u**4 + 6*u**2 + 1/15*u**5 + 0*u + 0*u**3 + 0. Find the second derivative of t(q) wrt q.
8
Let z(w) be the second derivative of -21*w**5/20 + w**4/6 + 10*w**3/3 - w**2 + w + 48. What is the second derivative of z(c) wrt c?
-126*c + 4
Let u(i) be the first derivative of 35*i**3 - i**2/2 + 277*i - 101. Differentiate u(y) wrt y.
210*y - 1
Let t(h) be the second derivative of 11/20*h**5 + 0*h**3 - 3*h + 5/3*h**4 + 0*h**2 + 0. Find the third derivative of t(l) wrt l.
66
Let l(b) be the first derivative of -277*b**6/2 - 14*b**3/3 - 10*b**2 - 793. What is the third derivative of l(t) wrt t?
-49860*t**2
What is the first derivative of -376119*w - 47*w**3 + 376119*w + 269 wrt w?
-141*w**2
Let v(s) = -32*s**4 - 9*s**3 - 295*s**2 - 12. Let k(m) = 30*m**4 + 8*m**3 + 295*m**2 + 8. Let f(a) = 3*k(a) + 2*v(a). Find the third derivative of f(g) wrt g.
624*g + 36
Find the second derivative of 347*w - 26*w**4 - 53*w + 4782*w**3 - 4780*w**3 wrt w.
-312*w**2 + 12*w
Let n(o) be the second derivative of o**5/20 - o**4/4 + 2*o**3/3 - o**2/2 - 9*o. Let a be n(3). Find the first derivative of -d + 13*d + 2*d - a - 4*d wrt d.
10
Let h(d) = -d**3 - 8*d**2 + 9*d + 2. Let c be h(-9). Differentiate 12 - 3*p**2 - 8*p**c - 10 wrt p.
-22*p
Let z(c) be the second derivative of -9*c**5/4 - c**4/6 - 64*c**2 - 36*c. What is the first derivative of z(v) wrt v?
-135*v**2 - 4*v
Let p(g) be the third derivative of -g**7/15 + 43*g**4/24 + g**3/6 + 17*g**2 + 4. What is the second derivative of p(i) wrt i?
-168*i**2
Let h(k) be the third derivative of -29*k**5/12 - 17*k**4/12 + k**3/6 - 332*k**2. What is the second derivative of h(s) wrt s?
-290
Let j(u) be the second derivative of -11*u**6/360 + u**4/8 - 5*u**3/6 + 8*u. Let w(c) be the second derivative of j(c). What is the derivative of w(n) wrt n?
-22*n
Let i be 21/(-2)*(-40)/(-12). Let d be 90/14 - (-15)/i. What is the first derivative of -15*o**2 + 15*o**2 + 3 + 2*o**4 - d wrt o?
8*o**3
Let x = 31 - 2. What is the third derivative of t**6 - x*t**2 - 4*t**6 + 8*t**6 wrt t?
600*t**3
Find the third derivative of -588*w + 210*w**2 - 10*w**2 + 588*w - 140*w**3 wrt w.
-840
Let j(w) be the second derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
.3, w
Let o(f) = -3*f + 1. Let n be o(-4). Let w = n - 38/3. Sort 2, w, 0.2 in descending order.
2, w, 0.2
Suppose -4*z = -8 - 8. Sort z, 0, -3/4.
-3/4, 0, z
Let d = -40 + 35. Let l = 1 - 16. Let w = -11 - l. Put 5, w, d in descending order.
5, w, d
Let h be 2211/27 - (1 - 4). Let k = h - 85. Put 2/3, k, 4 in descending order.
4, 2/3, k
Let f(g) = -6*g + 1. Let t be f(1). Sort t, 0, 3 in decreasing order.
3, 0, t
Suppose -16 = -3*h + 17. Suppose 3*q + l - 4 - h = 0, 0 = 3*q - 3*l - 15. Sort -13, 0, q in decreasing order.
q, 0, -13
Let q be (-4)/30*(-15)/(-9). Sort 3/13, q, -1 in ascending order.
-1, q, 3/13
Let x = -3.41 + 3.6. Let j = 0.49 - x. Sort j, -1/4, -5 in ascending order.
-5, -1/4, j
Let w(j) = 3*j - 25. Let p be w(10). Suppose 19 = p*y + 39. Put y, 5, -1 in ascending order.
y, -1, 5
Suppose -3*o = -5*w + 15, 3*w - 4 - 1 = o. Let u be (2 + -7)*2/(-2). Put u, o, -2 in descending order.
u, -2, o
Let o = -0.631 - -4.521. Let y = o - -0.11. Let k = 0.12 + -0.62. Sort k, 1/7, y.
k, 1/7, y
Let b = 9 - 2. Suppose 0 = -5*q - 40 - 15. Let w = b + q. Put -3, 0, w in ascending order.
w, -3, 0
Suppose 0 = 5*o - 7 + 2. Let n = o - 4. Let g be -1*(-1)/(1/(-4)). Sort 2, n, g.
g, n, 2
Let v be (1/(-3))/(10/(-12)). Let u = 1 - 2. Sort u, v, -4.
-4, u, v
Let n = -0.067 + -3.933. Sort n, 3, 4 in increasing order.
n, 3, 4
Let l = -21 - -30. Let j = l - 9.1. Sort 1/5, -4, j in decreasing order.
1/5, j, -4
Let b(g) = -g**3 + 5*g**2 - 2*g + 7. Let x be b(4). Put 1, x, -5 in ascending order.
-5, 1, x
Let y(a) = -3*a - 21. Let z be y(-11). Let k(r) = r**2 - 11*r - 14. Let p be k(z). Put -4, p, 3 in ascending order.
-4, p, 3
Suppose 12 - 3 = -3*m. Put -1, 4, m in increasing order.
m, -1, 4
Let o = -79 + 84. Sort -3, o, -5 in ascending order.
-5, -3, o
Suppose 2*a - 2 = -4*h, -3 + 0 = -3*a. Sort 5, h, -3.
-3, h, 5
Let m = 10 + -7. Let g(j) be the third derivative of -j**4/24 + 5*j**3/6 - 5*j**2. Let y be g(0). Sort y, m, 2 in decreasing order.
y, m, 2
Let g be 1/(-4) + (-11)/4. Suppose -n = n + 18. Let x be (-2)/4 + n/6. Sort g, -4, x in ascending order.
-4, g, x
Let j(p) = -p**2 + 7*p. Let l be j(7). Let c = 5.13 + -0.13. Sort 0.4, c, l in ascending order.
l, 0.4, c
Suppose 0 = 16*c - 9*c + 70. Sort 5, c, -3, 1.
c, -3, 1, 5
Let m = 3.5 - 0.5. Let c = m - 2. Let t = -25 + 27. Put t, 1/8, c in descending order.
t, c, 1/8
Suppose -g - 4*g + 36 = 4*u, 0 = u - 4. Suppose 2 = 5*p + 3*f, -p - 18 = -0*p - 4*f. Sort 1, p, g in decreasing order.
g, 1, p
Let f be 12/9*42/4. Sort 5, f, 0 in descending order.
f, 5, 0
Let s = 2 - 5. Let g be 30/76 + 3/(-6). Put s, -3/4, g in decreasing order.
g, -3/4, s
Let i = 0.53 - -5.47. Sort i, -5, 3 in increasing order.
-5, 3, i
Suppose -2*t - 12 = 2*t. Let x = 1 + t. Suppose -i + 3*i - 4 = 0. Put i, x, -1 in decreasing order.
i, -1, x
Let h = -19 - -9. Sort -5, h, 5 in increasing order.
h, -5, 5
Let r(w) = -w**3 + 11*w**2 - 13*w + 5. Let a be r(9). Let t be (-908)/18 + 4/(-18). Let f = a + t. Sort f, -0.5, 1/4 in increasing order.
f, -0.5, 1/4
Let a be ((-2)/8)/(42/24). Put -0.6, a, 2/5 in increasing order.
-0.6, a, 2/5
Suppose -3*i - 5 = 1. Let g(f) = -f**3 - 9*f**2 - f + 12. Let n be g(-9). Suppose -5*a - 5*q = 5, 2*a - n = -2*a + q. Sort i, -0.4, a in decreasing order.
a, -0.4, i
Let i = 21 + -18. Sort i, -9, 2, -2 in descending order.
i, 2, -2, -9
Let s = -2 - -1.8. Let b = -6.93 + -0.07. Let d = b + 7. Sort s, -4, d in decreasing order.
d, s, -4
Let n = -601/9 - -67. Let f = 4.89 - -0.11. Sort f, 0.4, n in decreasing order.
f, 0.4, n
Let p(r) = -r - 8. Let v be p(-10). Put v, 0, -2 in descending order.
v, 0, -2
Suppose 4*x = 3*l - 14, 0 = -l + x - 6*x - 8. Let h be l/(-6)*-3*0. Sort 1, h, 4 in increasing order.
h, 1, 4
Let t be (2/(-3))/(1 - -1). Put t, -9, -2 in descending order.
t, -2, -9
Suppose -1 - 3 = -2*r. Suppose o - 4*l = 6*o - 8, -3 = l. Put r, -3, o in ascending order.
-3, r, o
Let j = -0.85 + 0.8. Let l = j - 2.95. Put -3/5, l, -2 in increasing order.
l, -2, -3/5
Suppose -5*k = 5*o - 15, 0*k + 4*k = 4*o - 28. Let t be k*(7/(-2) + 2). Suppose t*i - 4*u + 6 = -7*u, 5*i + u + 6 = 0. Put 3, -5, i in descending order.
3, i, -5
Let u(w) = w**3 + 12*w**2 + 11*w + 4. Let g be u(-11). Suppose g = -3*k + 19. Put -6, 2, k in ascending order.
-6, 2, k
Let h = -27 - -27. Put 1/3, -5, h in increasing order.
-5, h, 1/3
Suppose 0*y - y = -3, 41 = s + 5*y. Suppose -k = k - s. Suppose 5*c + 2*h + 0*h = -22, -3*h = -4*c - k. Put c, 0, -5 in increasing order.
-5, c, 0
Suppose 2*l - 5*v = 8, -2*l = -4*l - 4*v + 8. Suppose -5*o + 0*o + 15 = 0. Sort l, o, -3 in ascending order.
-3, o, l
Let n be ((-24)/40)/((-1)/(-5)). Sort n, -4, 2.
-4, n, 2
Let k be (1/(-3))/((-23)/(-46)). Put 0.3, 5, k, -1 in descending order.
5, 0.3, k, -1
Let d(y) = -3*y - 58. Let a be d(-24). Put -3, 1, a, -4 in descending order.
a, 1, -3, -4
Let y = -2 + 4. Let w = 5 - 3. Suppose c - 4 + w = 5*t, 2*c = -6. Put y, t, 3 in descending order.
3, y, t
Let s be 1/9*-28 + 3. Put 4, -0.1, s in descending order.
4, -0.1, s
Let g be 9/3*1 + (-6)/6. Sort g, 4, -4/7 in increasing order.
-4/7, g, 4
Let s = 55.6 + -56. Let x = -5 - -1. Sort s, 0.4, x in ascending order.
x, s, 0.4
Suppose 2*a = 3 + 1. Sort a, -3, 5 in increasing order.
-3, a, 5
Let y be (-1 - -2)*(5 + -8 + 4). Sort -4, y, 0 in ascending order.
-4, 0, y
Let c = -16/11 + 123/77. Put 2/17, 1/6, c, 55 in decreasing order.
55, 1/6, c, 2/17
Suppose 0 = -2*m + 7*m. Let r be (4/3)/((-3)/9). Let c be 3/(-2)*2/6. Sort m, c, r.
r, c, m
Let o = 1.6 - 1.47. Let c = o - 4.13. Sort 0, 4, c in descending order.
4, 0, c
Suppose 3*k + 4*z = 45, -4*k - z = -5*k + 8. Let w be (-12 + k)*(-2)/(-14). Sort w, -3, -0.4.
-3, -0.4, w
Let i = -0.061 - -0.161. Sort i, -0.003, 2 in increasing order.
-0.003, i, 2
Let k(z) = -5*z + 5. Let g be k(0). Let r = -12 - -20. Put -2, g, r in decreasing order.
r, g, -2
Let b = 0.025 + 0.275. Sort 1/5, b, 0 in increasing order.
0, 1/5, b
Let p = 0.4 + 0.7. Let q = p + -1. Sort 1, -6, q in descending order.
1, q, -6
Let l = -8 - -12. Suppose i - 3*z - 19 = 0, 4*i - 2*z = -z + 21. Suppose -4 = -i*y - 2*d, -4*y + l*d - 24 = -d. Sort -3, 5, y in ascending order.
-3, y, 5
Let h = -3 + 4. Let a = -2/215 + 448/1935. Sort 4, h, a in decreasing order.
4, h, a
Suppose 5*k - 7 = 2*d - 0*d, 3*k + 2*d - 1 = 0. Put k, -3, 3, 0 in ascending order.
-3, 0, k, 3
Let q = 1286/7 - 184. Let r = -0.39 + -0.01. Let x = -3 - 2. Put x, r, q in ascending order.
x, r, q
Let m = -7/12 - -1/3. Sort m, 0.4, -5 in descending order.
0.4, m, -5
Let z = 4 + -8. Let x = -4.5 - z. Let b = -0.1 - -0.1. Sort x, b, 1/8.
x, b, 1/8
Let z(k) = -3*k + 12. Let n(g) = -4*g + 13. Let o(j) = -4*n(j) + 5*z(j). Let s be o(-7). Sort -1, 3, s in decreasing order.
3, s, -1
Let c = 0.36 + 0.14. Let r = 0.2 + 0.3. Let t = c - r. Put -5, -4, t in decreasing order.
t, -4, -5
Let s = 57 + -52. Sort 3, 10, s in increasing order.
3, s, 10
Let w be 4/(-26) - 22/26. Let a be (3 - w)*(-6)/8. Put a, 5, 1 in decreasing order.
5, 1, a
Let d be 2/(-3)*3*-1. Let q = -6 + d. Put q, 4, -0.1 in descending order.
4, -0.1, q
Let y(u) = -u**3 - 12*u**2 - 11*u - 2. Suppose 2*n - 53 = 5*h - 0*n, 5*h + n + 56 = 0. Let x be y(h). Sort x, 5, -1/4 in descending order.
5, -1/4, x
Let f(x) = 6 + 5*x**2 - x**2 + 8*x + x**3 + 4*x**2. Let c be f(-7). Let a be (7 + -4)*(-2)/(-3). Sort c, -5, a in decreasing order.
a, c, -5
Let y be ((-9)/(-3) - 2) + -5. Let q be (-2 - (-2)/y)/(-2). Sort -0.5, 0.5, q.
-0.5, 0.5, q
Let b = -1 + 3. Let v(a) = -4*a + 1. Let f be v(-1). Put 3, f, b in ascending order.
b, 3, f
Let l(v) = -v**2 - 12*v - 16. Let h be l(-11). Sort 1, h, -4 in ascending order.
h, -4, 1
Let l be (-12)/21 + (-6)/14. Sort 4, 1, l in increasing order.
l, 1, 4
Let l = 0.6 + 0.4. Let i = l - 0. Let r = -1 - i. Put r, 3, 5 in ascending order.
r, 3, 5
Let q = 2 + 1. Let a = 101 - 104. Put q, -2, a in decreasing order.
q, -2, a
Suppose 3*f + 4*x + 93 = x, 5*x = -4*f - 127. Let t be f/6 - (-1)/(-3). Suppose 0 = d - 0 + 3. Put 4, t, d in descending order.
4, d, t
Let g = 46 + -43. Put -1, -0.4, g in descending order.
g, -0.4, -1
Let o = 23 + -23.9. Let q = -0.4 - o. Put -4, 2, q in ascending order.
-4, q, 2
Let o(u) = u**3 - 3*u**2 - 3*u - 4. Let m be o(4). Suppose -6*f + f - 25 = m. So
|
{
"pile_set_name": "DM Mathematics"
}
|
0*l = l + 1782. Is l/(-12) + m/(-4) a composite number?
False
Let i = 11 + 224. Let l(b) = -235*b. Let j be l(-3). Suppose -2*z + j = z - r, -2*r = -z + i. Is z a prime number?
False
Suppose -240 + 4204 = 4*p. Is p prime?
True
Let y be ((-7)/(21/18))/(-1). Suppose y*p - 3231 = 2031. Is p prime?
True
Let v(s) = -s**3 + 9*s**2 - 7*s - 7. Is v(6) prime?
True
Let t = -26 - -191. Suppose -3*v - 2*v + t = 0. Is v a composite number?
True
Let l(q) = 14*q + 0 - 1 - 2. Let t be (-2)/(-3) + 14/6. Is l(t) a composite number?
True
Suppose -2*u + 4*j + 440 = 0, -5*j = 2*u - 487 + 29. Suppose -4*s = -3*v - 1784, 0 = s + 5*v - 199 - u. Is s composite?
False
Suppose -4*f + 53 + 879 = 0. Is f a composite number?
False
Suppose 3*h - m + 20 = 3*m, -h + 10 = 2*m. Let q be (-2)/4*(h - 6). Suppose -10 = -v - q*u, 4*u + 4 = -8. Is v prime?
True
Suppose 4*v + 2*r = 21 - 1, v - 2*r = 0. Suppose v + 4 = -4*x. Is 2 - (x + -10)/1 a composite number?
True
Suppose -5*x - 10799 = -6*x. Is x prime?
True
Suppose -5*l + 4*q - 302 = q, 0 = 4*l + 5*q + 249. Let u = -24 - l. Let a = u + -14. Is a a prime number?
True
Suppose 6*r - 5 = 5*r. Suppose -r*d + d + 156 = 0. Is d prime?
False
Suppose -2*r + 3*k + 225 = -r, -4*k - 221 = -r. Is r a composite number?
True
Let j be 61632/63 - 4/14. Suppose 4*z - j + 346 = 0. Is z a composite number?
True
Let b(d) = 4*d**2 + d + 3. Let o(i) = -9*i**2 - 2*i - 7. Let f(p) = 7*b(p) + 3*o(p). Let j be f(-1). Suppose -z + 0*z + 37 = j. Is z a prime number?
True
Is (-90)/18*(-257)/5 prime?
True
Let g be ((-1)/1)/(2/(-10)). Suppose 2*o + 5*x - 126 = 176, 584 = 4*o + g*x. Is o composite?
True
Let i(f) = f**3 + 5*f**2 - 2*f - 7. Suppose 0 = -b - 2*a + 22, -5*b + 3*a + 72 + 12 = 0. Let u = 13 - b. Is i(u) composite?
False
Let x(m) = m**2 + 3*m + 2. Let l be x(-3). Let t be l/(-8) + (-1379)/(-28). Suppose -3*u = -t - 44. Is u a composite number?
False
Is 179*(1 + (-5 - -5)) a composite number?
False
Suppose 0 = -p - 0 - 2. Let s = p + 2. Suppose -t + s*t + 7 = 0. Is t a composite number?
False
Let u = 4 - 4. Is u - (-4)/(4/131) a prime number?
True
Suppose 2*l = -l + 6. Suppose l*b = -3*b + 135. Suppose -3*a - 3*c + 39 = -a, b = 2*a - c. Is a a composite number?
True
Suppose -7 = -5*v + 8. Suppose 0 = 2*t - 4*t + 5*m + 317, 4*t + v*m - 647 = 0. Is t a composite number?
True
Let d = -96 - -287. Is d prime?
True
Let d(a) be the first derivative of 5*a**3 - 5*a - 1. Is d(-4) prime?
False
Let h = -1178 + 2421. Is h composite?
True
Let m(v) be the first derivative of v**2/2 + 2*v + 1. Let p be m(0). Suppose 2*j - 3 = 5*j, -p*l = -j - 95. Is l a prime number?
True
Is ((-2)/(-4))/(16/5216) a composite number?
False
Let g = 15 + -11. Let o(w) = -w**3 + 6*w**2 + 8*w - 3. Let a be o(7). Suppose 0 = a*x - h - 633, 4*x - x = -g*h + 451. Is x a composite number?
False
Let k(o) = 336*o**3 + 1. Let w = -10 + 11. Is k(w) a composite number?
False
Let g(i) = 11*i - 2 + 0*i - 12 + 21*i. Is g(5) a prime number?
False
Let t(q) = q**2 - 4*q - 8. Let d be t(6). Let x be ((-29)/2)/((-2)/d). Let h = 8 + x. Is h composite?
False
Let q(k) = 30*k + 4. Let p(y) = -y + 3. Let r be p(0). Is q(r) composite?
True
Let l be 6/(-4)*48/(-18). Suppose x - 45 = -5*a, 4*x = a - l*a + 10. Is a composite?
True
Let o = -21 - -37. Suppose -2*q - 2*u - 6 = -o, 0 = -2*q - 3*u + 5. Suppose -5*k = -x + 3*x - 375, -2*x = q. Is k prime?
False
Suppose h + 4*h - 40 = 0. Let l = h - -46. Suppose 4*w = -5*f + 73, -4*f - w = -0*w - l. Is f prime?
True
Let u(c) be the first derivative of 1/2*c**4 + 1/2*c**2 - 2 - 4/3*c**3 + 6*c. Is u(5) prime?
False
Let q(v) = 5*v**3 + 2*v**2 - 1. Let w be q(-1). Is w + 3 + 2 + 6 a prime number?
True
Is -6*(-5)/(-135) + 68710/18 a composite number?
True
Suppose 0 = 4*g - 8*g + 3*i + 4, 0 = g - 2*i - 6. Let l(t) = -t - 1. Let s(z) = -5*z**3 + 2*z. Let b(m) = -l(m) + s(m). Is b(g) prime?
False
Let d(n) = -15*n - 1. Let u = -3 + -1. Let w be d(u). Suppose 0 = 2*s + 3*b - 44, 3*s - 7 = -3*b + w. Is s composite?
True
Let f = -255 + 368. Is f a composite number?
False
Let c(v) = -v**2 + v + 1. Let j(y) = 70*y**2 - 6*y - 5. Let p(u) = 6*c(u) + j(u). Is p(1) composite?
True
Suppose -58 - 16 = -2*w. Suppose 4*o + w = 5*o. Let b = o - 12. Is b composite?
True
Suppose -3*r - 540 = -a, 2*a - 2176 = -2*a - 4*r. Suppose 0 = -0*y + 3*y + a. Let s = -86 - y. Is s composite?
True
Let y(p) = p**3 - 24*p**2 + 44*p - 17. Is y(23) a composite number?
True
Suppose -o + 3 = 9. Let v(l) = -l**3 - 4*l**2 + 10*l + 7. Is v(o) prime?
True
Let l(c) = -c - 2. Let h be l(-2). Suppose -5*y + 0*y + 215 = h. Is y composite?
False
Let x = 512 - 279. Is x a prime number?
True
Suppose 0 = -3*g - 6, -5*g + 1536 = 2*i - 4*g. Is i prime?
True
Suppose -3*o + 7*o + 37008 = 4*t, 37038 = 4*t + 2*o. Is t a prime number?
True
Suppose -5*d - 4*g - 28 = -2*d, 0 = d - g. Let q be (-3)/(-12) - 19/d. Suppose 1 = l - 5*z - q, 98 = 3*l + z. Is l prime?
True
Suppose 3*j - 2*n + 5 = 19, -j = -2*n - 10. Suppose -4 = j*i + 2. Is 22 - ((-6)/(-2))/i a prime number?
True
Suppose 7 = s + 4*o, 0 = -5*s + o + 9 + 5. Suppose 2*h - 181 = 3*h + s*y, -4*y + 810 = -5*h. Is (3/(-6))/(1/h) a prime number?
True
Let u(w) = -w**3 - 6*w**2 + 2*w + 2. Let r(b) = -b**2 - 3*b + 3. Let l be r(2). Is u(l) prime?
True
Suppose 0 = -l - z - 92 - 41, z = 3*l + 407. Let k = l - -214. Is k prime?
True
Let j be 10/(-2)*11/(-11). Suppose 0 = j*x - 154 - 511. Is x composite?
True
Let b be ((-2)/3)/(4/18). Is (1/b)/(1/(-921)) a composite number?
False
Is 557/((-60)/(-75) + 1/5) a prime number?
True
Suppose -454 = 3*k + 2*a - 2057, 3*k + 4*a - 1607 = 0. Is k a prime number?
False
Suppose -3*d + 15 = 6. Suppose d*a = 22 + 227. Is a composite?
False
Let p = 12 - 2. Let m be (p/4)/(3/12). Is (m/(-15))/(2/(-93)) prime?
True
Suppose -5*w + 24 = 3*v, -2*v = -2*w - 5*v + 6. Suppose w*k = k + 1855. Is k a prime number?
False
Suppose -2*n - 1099 = -4*n + 3*d, -2*d = -2*n + 1100. Is n prime?
False
Let i(n) = 150*n**2 - 4*n + 3*n + 2*n - 2*n. Is i(1) a composite number?
False
Suppose -6 + 2 = -4*k. Let n(g) = 3*g**2. Is n(k) a prime number?
True
Suppose 1 - 11 = 5*l. Let c = 3 + l. Is (1 - -1)*c + 17 composite?
False
Let q = 18 + -13. Let a(s) = 2*s**2 - 6*s + 2. Is a(q) composite?
True
Let t(q) be the first derivative of -3*q**4/4 - q**3/3 + q**2 - 5*q + 3. Is t(-4) a composite number?
False
Let i(m) = -223*m**3 + m**2 - 1. Is i(-1) prime?
True
Suppose 0 = z - 5*p + 5, -4 + 9 = -5*z + 5*p. Suppose -5*v - 4*u + 11 = z, -5*u = 6 - 1. Suppose 4*r = -3*y + 199, v*y - 150 = r - 4*r. Is r prime?
False
Suppose 2*k = -k - 4*f - 1, 4*f = -2*k + 2. Suppose 8 = -5*w + 4*d - 5*d, 0 = 2*w - 3*d - 7. Is w/(k - (-92)/31) a prime number?
True
Let y(a) = a + 4. Let p be y(-5). Let f(v) = -41*v - 36*v + 1 + 25*v. Is f(p) prime?
True
Let x(g) = -g - 8. Let o be x(-5). Let f be (o - -1*2)*-3. Suppose f*q - 6*q + 35 = d, 5*q = 0. Is d composite?
True
Let q(a) = 3*a**3 - 5*a**2 + a - 7. Is q(6) a prime number?
True
Suppose -24*b = -19*b - 6695. Is b a prime number?
False
Let c be (297/6 - 3)*-2. Let y = c + 148. Is y a prime number?
False
Let b(p) = 4*p**3 - 2*p**2 + 4*p - 3. Is b(4) composite?
True
Let z = 274 + 107. Is z a prime number?
False
Let a(o) = -o. Let p be 1/4 + 9/12. Let m be a(p). Let v(k) = -80*k - 1. Is v(m) composite?
False
Suppose -4*b - 357 = -0*b - u, -108 = b - 4*u. Let g = -9 - b. Is g a prime number?
True
Suppose 43*c - 40*c = 477. Is c composite?
True
Suppose -2*l = 3 - 5. Is 23 + l*(-3)/3 a composite number?
True
Let l(g) = -386*g - 3. Is l(-1) a prime number?
True
Suppose r - 10 = -r. Suppose j + 31 - 10 = n, n = r*j + 17. Is n prime?
False
Let y(c) be the first derivative of 5*c**3/3 + c**2/2 - c - 4. Let g(k) be the first derivative of y(k). Is g(3) prime?
True
Let f(x) = 17*x**3 + 5*x**2 + 3*x - 2. Is f(3) composite?
True
Let t = -5 + 3. Let y be t/(-4) + (-10)/(-4). Let q(c) = c**3 + c**2 - 4*c - 1. Is q(y) prime?
True
Let u = 251 + 8. Is u prime?
False
Suppose -4*u = 3*s + 16, -7*u + 2*u - 1 = -s. Let j(y) = -40*y - 5. Is j(s) composite?
True
Suppose -r = 2*q - 5*q + 39, 2*r - 5*q = -80. Let s = 160 + r. Is s composite?
True
Suppose 4*m = x + 27, 2*m + 3*x - 15 = -2*m. Let i = m + -7. Is ((-508)/(-12))/(i/(-3)) composite?
False
Suppose -3*b - 5*q + 150 = 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 14?
13
Suppose -4*l + 3*l + 5*i + 7 = 0, -3*l = -5*i - 31. Let m be 2/6 - (-472)/6. Let f = m + -45. Calculate the remainder when f is divided by l.
10
Let q(d) = -d**2 - 15*d + 14. Suppose -3*k = 12, -n + k = 5*k + 11. What is the remainder when q(-15) is divided by n?
4
Let i(a) be the third derivative of -a**6/120 - 7*a**5/60 + a**3 - 3*a**2. What is the remainder when 11 is divided by i(-7)?
5
Let y(j) = -j**3 + 11*j**2 - 8*j + 15. Let n be y(10). Suppose 3*q - 13 - n = 0. Calculate the remainder when 61 is divided by q.
13
Suppose n = -4*o - o + 124, -3*o + 60 = -3*n. Calculate the remainder when 95 is divided by o.
23
Suppose 0 = 3*h - 12, p - 256 = 4*h + 50. Suppose 2*j + 104 = p. Calculate the remainder when j is divided by 28.
25
Suppose t - 27 = 26. Let k = t - 14. Calculate the remainder when k is divided by 10.
9
Let j = 61 + -22. Let w = j + 4. What is the remainder when w is divided by 15?
13
Let j(n) = -2*n**2 - 20*n + 52. Let b = -18 + 29. Calculate the remainder when b is divided by j(-12).
3
Let o(g) = g - 1 + 3*g**2 - g**2 - g**2. Let h be o(-3). Suppose 3*r = -h*i + 64, 0*r - 9 = -3*r. Calculate the remainder when 31 is divided by i.
9
Suppose 0 = 5*o - 34 - 131. Suppose -4*h = -10 - 6. Suppose 2*w = w + 4*c + 33, 2*w - 18 = -h*c. What is the remainder when o is divided by w?
16
Let s(k) = k**2 - 5*k - 1. Let a be s(5). Let g(b) = -2*b**3 - b**2 - b. Let y be g(a). What is the remainder when 41 is divided by (-2)/y - 3*-5?
13
Suppose 3*m - 14*m + 429 = 0. Calculate the remainder when m is divided by 22.
17
Let o(w) = w**2 + 26*w + 18. Calculate the remainder when o(-30) is divided by 20.
18
Let w be (-4)/2 - (-45 + 2). Let l = w + -28. What is the remainder when 38 is divided by l?
12
Let s(h) = 4*h - 3. Calculate the remainder when 7 is divided by s(2).
2
Suppose 17*b - 118 - 1 = 0. Calculate the remainder when 48 is divided by b.
6
Suppose 4*v - 21 = 3*v. Calculate the remainder when 60 is divided by v.
18
Suppose -t = -3*u - u + 12, 0 = 2*t + 8. Let n(z) = 2*z**2 + 1. What is the remainder when 25 is divided by n(u)?
7
Let i = -46 - -25. Let r = i - -24. Calculate the remainder when 3 is divided by r.
0
Suppose -2*v = 3*v + 3*y - 35, -2*v = -2*y + 2. Suppose m + 4*w - 51 = -0*m, v*w = -4*m + 168. Calculate the remainder when m is divided by 20.
19
Let c(q) = -q**3 - 14*q**2 - 12*q + 9. Let j be c(-13). Let p(m) = -m - 2. Calculate the remainder when 3 is divided by p(j).
1
Suppose -4*c - 5*j + 10 = -2*c, -c - 2*j + 7 = 0. Suppose 2*d - 371 = -5*y, -5*d - 58 = -y - 0*y. Calculate the remainder when y is divided by 1 + 1 + c - -2.
16
Suppose 0*p + 96 = 4*r - 5*p, 0 = 3*r + p - 53. Calculate the remainder when r is divided by 5.
4
Let i(s) = 9*s. Calculate the remainder when i(5) is divided by 23.
22
Let j = -3 - 0. What is the remainder when 5 is divided by (-4)/(-1 - (j + 4))?
1
Let x(a) = a**2 + 13*a - 16. Let d be x(-13). Let w(m) = m**2 + 16*m + 13. What is the remainder when 22 is divided by w(d)?
9
Let z = 59 + -35. Suppose -2*q + 16 + z = 0. What is the remainder when 38 is divided by q?
18
Suppose 0 = -5*p + 4*p. Suppose -3*h + 4*q = -p*q, -3*h = 2*q - 18. Suppose -2*j + 34 = -h. Calculate the remainder when j is divided by 10.
9
Suppose -7*a + 4*a = -9. Let h(y) = 2 + y - 4*y + 2*y**2 + 2*y. Calculate the remainder when h(a) is divided by 9.
8
Let o be (-1)/(-2 + (-3)/(-2)). Let q(n) = n**3 + n**2 + n. Calculate the remainder when q(o) is divided by 8.
6
Let w(c) = 2*c**2 - c - 5. Suppose 3*p - 16 = -3*b + 8, 3*b - 16 = -p. What is the remainder when 90 is divided by w(p)?
21
Let a = -5 + 13. Suppose -25 = -5*t + 7*h - 2*h, -t + 8 = -2*h. Suppose 3*k - 15 = 0, -4*p - t*k + 35 = p. Calculate the remainder when a is divided by p.
3
Let r(a) = 7*a**2 + 8*a + 5. What is the remainder when r(-3) is divided by 17?
10
Suppose 2*a + 2 = -0*a. Let g be ((-6)/(-8))/(a/(-4)). Suppose -g*s + 9 = -9. What is the remainder when 10 is divided by s?
4
Suppose 0 = -2*u - 0*u + 66. Let f = -21 + 4. Let z = u + f. Calculate the remainder when z is divided by 9.
7
Let y(d) = -3*d - 5. Let w(m) = -m - 2. Let z(q) = -13*w(q) + 6*y(q). What is the remainder when z(-8) is divided by 19?
17
Suppose 2*g = -0*g + 92. What is the remainder when g is divided by 12?
10
Let n(c) = -c**3 - 2*c**2 - c - 2. Let h = -22 + 34. Suppose -3*v - h + 30 = 0. What is the remainder when n(-3) is divided by v?
4
Let l(i) = i**2 + 5. Let u be l(0). Let c(n) = -3*n**2 - u*n - n**2 + 5*n**2 + 6. Calculate the remainder when 4 is divided by c(4).
0
What is the remainder when 26 is divided by (4 + 32/6)*9/6?
12
Let w(a) = 2*a**2 - 1. Suppose -3*l = -0 - 6. Calculate the remainder when w(l) is divided by (-1)/(-1) + 6/2.
3
Suppose -2*d - 73 = 5. Let x = 0 - -9. Calculate the remainder when d/(((-18)/4)/3) is divided by x.
8
Let g = -30 + 39. Calculate the remainder when (-53)/(-2) + (-2)/4 is divided by g.
8
Suppose 3*j - 10 = -k - 0*k, -5*k + 78 = j. Suppose -3*f - 2*f + 145 = 0. What is the remainder when f is divided by k?
13
Suppose -4*c + 36 = 4*j, c - j + 0 = 1. What is the remainder when 10 is divided by c?
0
Let n be 4 - (1 + -1)/2. Suppose -3*b - o = -4*b + 32, -32 = -b + n*o. Suppose 8 + b = 5*r. Calculate the remainder when r is divided by 3.
2
Suppose 0*l = 3*l. Let x(u) = u**2 + 4. Let v be x(l). Suppose 3 + 53 = 4*z - 3*w, -v*w = 2*z - 28. What is the remainder when z is divided by 5?
4
Let w(q) = -q**3 - 4*q**2 - q + 2. Let f(j) = j**3 + 7*j**2 - 20*j + 10. What is the remainder when f(-9) is divided by w(-4)?
4
Suppose n - 5*q - 24 = 3*n, 0 = 3*n + 3*q + 54. Calculate the remainder when 31 is divided by n/(-2) - (1 - -2).
7
Let s = 125 + -59. Calculate the remainder when s is divided by 17.
15
Suppose 5*u + 0*u - 40 = 0. Let a(v) = -v + 13. Let t be a(-11). Let r = t + -10. What is the remainder when r is divided by u?
6
Suppose -6*v = -35 - 49. Let d(a) = a**3 + a + 39. What is the remainder when d(0) is divided by v?
11
Let d(i) = -10 - i - i + 5*i. Calculate the remainder when d(10) is divided by 7.
6
Let n = -122 - -136. Calculate the remainder when 52 is divided by n.
10
Let s = -2 + 6. Let o = -1 + 1. Let m(f) = f**2 - f + 10. What is the remainder when m(o) is divided by s?
2
Let t = -88 - -99. Suppose 0 = 4*y - 3*y - 19. What is the remainder when y is divided by t?
8
Let j(n) = 3*n**2 - 2*n - 1. Suppose 0*k = -k - 2. Suppose -2*f - y + 83 = 0, 0 = f - 3*f - 4*y + 74. Calculate the remainder when f is divided by j(k).
13
Suppose -2*r - 5*p = 11 - 44, -4 = -4*p. What is the remainder when r is divided by (-1)/((-8)/6) - 66/(-8)?
5
Suppose 3*k + 2*s + 8 = 0, 5*k + 4 = -2*s - 12. Let b = 5 - k. Calculate the remainder when 52 is divided by b.
7
Suppose -4*w + 6 = -w. Let d be -1 + w/(-2) + -4. What is the remainder when (-3)/d*-2*-28 is divided by 15?
13
Let m(q) = -q**3 - 6*q**2 - 10*q - 7. What is the remainder when 30 is divided by m(-5)?
12
Let o(y) = -y**3 + 5*y**2 + 8*y + 4. What is the remainder when o(6) is divided by 6?
4
Suppose 0 = 5*b - 140 - 20. What is the remainder when b is divided by (-138)/(-8) + (-3)/12?
15
Let x(a) = a**3 + a + 3. Suppose -s + 8 = -0. Let l = s - 4. What is the remainder when l is divided by x(0)?
1
Let g(m) = -m**2 - 12*m - 12. Let v be g(-9). Suppose 255 = 4*k + v. Calculate the remainder when 2 is divided by 4/(-18) + k/27.
0
Suppose 5*t = 3*t - 4. Let q = -4 + 9. What is the remainder when (-4 - t)/1 - -15 is divided by q?
3
Suppose 15*d - 189 = 6*d. Calculate the remainder when 59 is divided by d.
17
Let w = 86 - 55. What is the remainder when 90 is divided by w?
28
What is the remainder when 53 is divided by (-261)/(-24) + 2/64*4?
9
Let z(u) = 2*u + 9. Let t be z(8). Suppose 0 = 5*a - 4*g - 15, 5*a - 5*g + 5 = t. What is the remainder when (-388)/(-16) + a/4 is divided by 13?
11
Calculate the remainder when 6/(-4)*1428/(-18) is divided by 15.
14
Suppose 0 = x + 3 - 0. Let d be -5*(96/(-5))/x. Let o = -21 - d. Calculate the remainder when 32 is divided by o.
10
Let s = -18 + 24. Suppose -8*b + 18 = -s*b. What is the remainder when b is divided by 5?
4
Calculate the remainder when 7 is divided by (-4)/14 + 9/(189/48).
1
Suppose 0 = -r + 5*s + 22, -6*s - 30 = -5*r - s. Suppose -20 = -2*b -
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from zzzzzz?
1
Four letters picked without replacement from {h: 2, g: 3, x: 1, a: 3, m: 10}. What is prob of picking 2 a and 2 h?
1/1292
What is prob of picking 1 w and 1 p when two letters picked without replacement from {w: 1, v: 1, f: 5, p: 1, q: 1}?
1/36
What is prob of picking 2 j when two letters picked without replacement from gxgjgjggjgxjgj?
10/91
What is prob of picking 1 t, 1 l, and 1 x when three letters picked without replacement from lxtxxlrltrxxxtx?
9/65
What is prob of picking 1 x and 1 q when two letters picked without replacement from {x: 4, q: 3, k: 13}?
6/95
Four letters picked without replacement from snonnoosoodndsdsods. What is prob of picking 1 d and 3 n?
4/969
Three letters picked without replacement from ngniqen. Give prob of picking 1 g and 2 n.
3/35
What is prob of picking 3 g when three letters picked without replacement from {g: 7, i: 2}?
5/12
Three letters picked without replacement from cgxccyyfxyyfcfff. What is prob of picking 1 c, 1 f, and 1 g?
1/28
Four letters picked without replacement from ppcupruuuuppupuu. Give prob of picking 1 u, 1 r, and 2 p.
6/91
Calculate prob of picking 1 a, 1 t, and 1 b when three letters picked without replacement from taagbcgtbaaccagbag.
3/68
Calculate prob of picking 1 t, 1 s, and 1 h when three letters picked without replacement from {z: 1, m: 2, s: 3, h: 6, t: 4}.
9/70
Two letters picked without replacement from rooooooorooooh. What is prob of picking 2 o?
55/91
Two letters picked without replacement from zhuhhuuzuuzxu. Give prob of picking 1 u and 1 h.
3/13
Calculate prob of picking 3 m when three letters picked without replacement from {m: 7, p: 6}.
35/286
Four letters picked without replacement from judjjjujuujjjj. Give prob of picking 1 d and 3 j.
12/143
Three letters picked without replacement from {h: 13, r: 3}. Give prob of picking 3 r.
1/560
What is prob of picking 1 r and 2 o when three letters picked without replacement from rooorgrrrxrr?
21/220
Four letters picked without replacement from {q: 6}. What is prob of picking 4 q?
1
Two letters picked without replacement from pxehpqh. Give prob of picking 2 p.
1/21
Two letters picked without replacement from uhhuhbuhbhbvhuv. What is prob of picking 2 u?
2/35
What is prob of picking 1 b and 1 a when two letters picked without replacement from {n: 4, b: 3, i: 1, d: 3, a: 5, w: 1}?
15/136
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {r: 3, l: 3, c: 1, u: 6, e: 2}.
2/35
What is prob of picking 2 b when two letters picked without replacement from {b: 4, v: 1, l: 3, c: 1, i: 4}?
1/13
Calculate prob of picking 1 i, 1 f, 1 n, and 1 e when four letters picked without replacement from vyenevfevif.
1/55
Two letters picked without replacement from {z: 1, a: 1, v: 2, n: 3, w: 3}. What is prob of picking 1 v and 1 w?
2/15
What is prob of picking 1 s and 1 z when two letters picked without replacement from szzzzsszzzzzzszzzzz?
20/57
Calculate prob of picking 2 p when two letters picked without replacement from {m: 3, p: 8}.
28/55
What is prob of picking 3 t when three letters picked without replacement from tttzttzztz?
1/6
Two letters picked without replacement from {w: 1, q: 2}. What is prob of picking 2 q?
1/3
Four letters picked without replacement from {n: 5, y: 1, b: 3, u: 4, e: 1}. What is prob of picking 1 y and 3 b?
1/1001
Two letters picked without replacement from gggjjggejj. What is prob of picking 1 e and 1 j?
4/45
Four letters picked without replacement from dddduuduudddu. Give prob of picking 4 u.
1/143
Calculate prob of picking 2 w when two letters picked without replacement from kawiwiz.
1/21
Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {n: 4, u: 8, f: 8}.
56/285
What is prob of picking 2 n and 2 h when four letters picked without replacement from nnhhhhphhhnhnnnhh?
135/476
Four letters picked without replacement from nhnnnhnhnkkhh. Give prob of picking 2 k and 2 h.
2/143
Calculate prob of picking 1 y and 2 q when three letters picked without replacement from {q: 2, y: 5, h: 2}.
5/84
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from mmmwmmmmmmmmmmmmmmmm.
1/10
Four letters picked without replacement from uuguuguuuuguuuu. What is prob of picking 3 g and 1 u?
4/455
Two letters picked without replacement from bkttxktvvtkatvtvv. Give prob of picking 1 a and 1 x.
1/136
What is prob of picking 1 k and 3 l when four letters picked without replacement from {s: 1, l: 7, n: 3, k: 5}?
5/52
Calculate prob of picking 4 u when four letters picked without replacement from uvvvuvvvvuuvvuuu.
1/52
Calculate prob of picking 1 g, 1 h, and 1 r when three letters picked without replacement from {w: 10, r: 1, p: 2, g: 3, h: 1}.
3/680
Two letters picked without replacement from uuoduhhushuhosdouoww. Give prob of picking 2 h.
3/95
Two letters picked without replacement from rrlrrllrrlrl. What is prob of picking 2 r?
7/22
What is prob of picking 1 n and 1 f when two letters picked without replacement from rnifrkrfiwwrr?
1/39
Calculate prob of picking 1 f and 1 k when two letters picked without replacement from drnkfdtktfrrdf.
6/91
What is prob of picking 1 d and 1 l when two letters picked without replacement from {d: 4, l: 15}?
20/57
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from wtwtbbtt.
2/7
Calculate prob of picking 2 b and 1 f when three letters picked without replacement from ubuufbfu.
1/28
Four letters picked without replacement from jupjpphp. What is prob of picking 1 u and 3 p?
2/35
What is prob of picking 2 i when two letters picked without replacement from ekekiieeielkikieik?
5/51
Two letters picked without replacement from ueezwuteeuw. What is prob of picking 1 e and 1 w?
8/55
Calculate prob of picking 2 f and 2 o when four letters picked without replacement from {f: 2, p: 11, o: 5, x: 2}.
2/969
What is prob of picking 1 d and 1 i when two letters picked without replacement from {m: 1, c: 1, f: 4, d: 2, j: 3, i: 4}?
8/105
Three letters picked without replacement from {s: 1, v: 1, e: 1, b: 1, j: 1}. What is prob of picking 1 b, 1 s, and 1 e?
1/10
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from zkxz.
1/6
Calculate prob of picking 3 a when three letters picked without replacement from haahahahhhahhhhh.
1/56
Four letters picked without replacement from {t: 1, q: 1, i: 2, e: 1, m: 1, y: 1}. Give prob of picking 1 t, 1 e, and 2 i.
1/35
Calculate prob of picking 1 e and 2 s when three letters picked without replacement from rsreirrrreresre.
4/455
What is prob of picking 3 l when three letters picked without replacement from {t: 2, l: 3}?
1/10
Four letters picked without replacement from {m: 1, o: 1, t: 1, w: 1, k: 2, h: 1}. Give prob of picking 1 h, 1 m, 1 o, and 1 w.
1/35
Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {w: 6, j: 1, p: 1, t: 1, g: 3, r: 4}.
3/28
Three letters picked without replacement from yvqvqvqyq. Give prob of picking 2 q and 1 y.
1/7
Calculate prob of picking 2 b and 1 s when three letters picked without replacement from bxxtstbssxmto.
3/286
Three letters picked without replacement from {w: 2, v: 3}. Give prob of picking 1 w and 2 v.
3/5
Two letters picked without replacement from {b: 3, f: 9}. What is prob of picking 2 b?
1/22
What is prob of picking 2 i when two letters picked without replacement from {i: 5, x: 4, n: 7}?
1/12
Calculate prob of picking 1 e, 1 w, and 2 i when four letters picked without replacement from {z: 2, i: 3, w: 1, e: 8, s: 5}.
2/323
Three letters picked without replacement from iioooioooocoomiorrr. What is prob of picking 1 r, 1 o, and 1 m?
10/323
Calculate prob of picking 1 t and 3 y when four letters picked without replacement from yyyyytbxutttgtty.
6/91
Calculate prob of picking 2 x when two letters picked without replacement from rxrxixrixiiriix.
2/21
Three letters picked without replacement from {u: 1, q: 17}. What is prob of picking 3 q?
5/6
What is prob of picking 2 b when two letters picked without replacement from hhhbbpmh?
1/28
Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {i: 9, w: 7
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of h(s) wrt s?
-7
Let g be (-39)/(-9) - 4/1. Let r(u) be the second derivative of -g*u**3 + 2*u + 1/12*u**4 + 0 + 0*u**2. What is the second derivative of r(w) wrt w?
2
Let k(j) = -j**3 + 8*j**2 + 10*j - 1. Let x be k(9). What is the first derivative of -x*a - 3*a**4 + 8*a + 0 + 2 wrt a?
-12*a**3
Suppose 0 = 4*d - 4, 0*n + 2*n - 24 = -2*d. Let w = 11 - n. Find the third derivative of w*t + 3*t**2 + 0*t**2 - 2*t**4 + 0*t wrt t.
-48*t
Let t(n) = -13*n**2 + 13. Let o(i) = 27*i**2 - 25. Let u(w) = 6*o(w) + 13*t(w). Differentiate u(v) wrt v.
-14*v
Let m(s) be the second derivative of 0 + 0*s**2 - 1/56*s**8 + 1/6*s**4 + 0*s**5 + 0*s**7 + 0*s**6 + 0*s**3 - 4*s. Find the third derivative of m(c) wrt c.
-120*c**3
Suppose 4*s - 16 + 40 = 0. Let w be (-26)/(-7) - s/21. Find the second derivative of 0*k + 2*k - 6*k**w + 3*k**4 + 0*k**4 wrt k.
-36*k**2
Let n(t) = t**3 - 7*t**2 + t - 7. Let f be n(7). What is the third derivative of -2*v + f*v - 2*v**2 - 2*v**4 + 2*v wrt v?
-48*v
Find the third derivative of -7*h**3 + 50*h**2 + 22*h**3 - 29*h**2 wrt h.
90
Suppose -5*l = -l - 16. Let t = -80 + 82. What is the third derivative of -l*y**2 - t*y**6 - 8*y + 8*y wrt y?
-240*y**3
What is the second derivative of -709*v + 0*v**5 + 2*v**5 + 722*v wrt v?
40*v**3
Let x(o) = o**2 + 1. Let n(b) = -4*b**3 - b - 3*b**2 + 0*b + 0*b**3 - 3. Let m(v) = -n(v) - 3*x(v). What is the second derivative of m(s) wrt s?
24*s
Let i(c) = -2*c**3 - 3*c**2. Let d(y) = 0*y**2 - 11*y**3 - y**2 + y + 10*y**3. Let a(k) = -3*d(k) + i(k). What is the second derivative of a(b) wrt b?
6*b
Let l(o) = o**3. Let g(r) be the third derivative of r**6/120 - r**4/24 + 3*r**2. Let h(d) = -3*g(d) + 6*l(d). What is the second derivative of h(m) wrt m?
18*m
What is the second derivative of 0*n + 6*n + n - 16*n - 3*n**4 wrt n?
-36*n**2
Let p(a) = -a + 7. Let y(o) = -7. Let r(w) = -3*p(w) - 2*y(w). Differentiate r(z) wrt z.
3
Let d(a) = -12*a**4 + 7*a**3 + 21. Let x(j) = -2*j**3 + 4*j**4 - 10 + 0*j**4 + 3. Let h(u) = -2*d(u) - 7*x(u). Find the first derivative of h(b) wrt b.
-16*b**3
Let b(q) = -48*q**5 + 6*q**2 - 37*q. Let v(z) = -97*z**5 + 13*z**2 - 75*z. Let o(l) = -13*b(l) + 6*v(l). Find the second derivative of o(y) wrt y.
840*y**3
Find the third derivative of -8*g**3 + 0*g**2 - 7*g**3 + 4*g**2 wrt g.
-90
Let f(t) = 2*t - 7. Suppose 0 = 2*q + 4 - 14. Let v be f(q). Differentiate 4 - i**4 - 2 + v*i**4 wrt i.
8*i**3
What is the first derivative of 13*y**2 + 16*y**2 - 17*y**2 - 8 + 17*y**2 wrt y?
58*y
Let s be 6/(-15) + (-62)/(-5). Let d be s/9 - (-2)/3. What is the second derivative of n + n + 3*n**d - 2*n**3 - 3*n**2 wrt n?
-12*n
Let y(f) be the third derivative of 4*f**2 - 1/6*f**3 + 1/24*f**4 + 0 + 0*f. Differentiate y(x) with respect to x.
1
Suppose 0 = -5*r + 31 - 11. Find the second derivative of 4*j**3 - 4*j**3 - r*j - 3*j**4 wrt j.
-36*j**2
Let u(c) = -12*c**2 - 2*c + 10. Suppose 19 = 3*p - 11. Let v(q) = -q**2 + 1. Let z(m) = p*v(m) - u(m). Find the second derivative of z(r) wrt r.
4
Let m(r) = 4*r**4 - 3*r**3 - 5. Let y(w) = -w**4 - w**3 - 1. Let d(f) = -m(f) + 3*y(f). Differentiate d(z) wrt z.
-28*z**3
Let x(r) = -4*r**4 - 7*r**3 + 7*r - 108. Let c(k) = -k**4 - 2*k**3 + 2*k - 36. Let d(m) = 7*c(m) - 2*x(m). Differentiate d(p) wrt p.
4*p**3
Suppose 3*q - 4 = q. Let o(z) = z + 4. Let r be o(-2). What is the derivative of 3 - 2*k**3 + 2*k**2 - q*k**r + 5*k**3 wrt k?
9*k**2
Suppose x + 4 = -3*u + 13, 0 = 3*u - 2*x - 18. Differentiate -u*a + 3*a + 0 - 2 + 0*a with respect to a.
-1
Differentiate 0*t + 6*t - t + 3*t - 5 with respect to t.
8
Let k(w) be the second derivative of 0*w**2 + 1/12*w**4 + 0 + 0*w**3 + 0*w**5 - 1/10*w**6 - 6*w. Find the third derivative of k(m) wrt m.
-72*m
Let b(d) be the first derivative of -4*d**6/3 + 2*d**3 - 9. What is the third derivative of b(t) wrt t?
-480*t**2
Let v(j) be the first derivative of -5/6*j**6 + 0*j**4 + 0*j - 2 + 0*j**5 + 0*j**3 - j**2. Find the second derivative of v(h) wrt h.
-100*h**3
Let w(y) be the first derivative of -y**5/20 - 5*y**2/2 + 6*y + 2. Let v(d) be the first derivative of w(d). Differentiate v(i) with respect to i.
-3*i**2
Let z(b) = -b**6 - b**4 - b**3 + b**2 - b. Let g(i) = i**4 + i**3 - 2*i**2 + i. Let w(f) = 6*g(f) + 6*z(f). What is the third derivative of w(o) wrt o?
-720*o**3
Suppose -4*d = -2*h + 16, 0 = 3*d - 4*d - 3. Find the third derivative of -4*r**6 + 2*r**4 + 3*r**h + 5*r**6 - 2*r**4 wrt r.
120*r**3
Find the third derivative of 5*t - 8*t + 8*t**2 - 6*t**4 - 9*t**2 - 7*t - 4*t**5 wrt t.
-240*t**2 - 144*t
Let x(v) be the third derivative of 0*v + 0*v**4 + 0*v**3 - 1/210*v**7 + 0*v**6 + 2*v**2 + 1/60*v**5 + 0. What is the third derivative of x(p) wrt p?
-24*p
Let f(d) = -d + 5. Suppose -2*k = -4*h - 6 - 4, -2*k + 10 = -2*h. Let j be f(k). What is the third derivative of j*b**2 + 3*b**6 + b**2 - b**6 wrt b?
240*b**3
Let w be 5/(5/(-2)) + 4. Let v(j) = -j**3 + 7*j**2 + j - 5. Let g be v(7). Find the third derivative of -2*q**2 - g + w + 3*q**3 wrt q.
18
Let m(l) be the first derivative of -l**7/210 - l**4/24 - 2*l**3/3 - 3. Let i(n) be the third derivative of m(n). What is the derivative of i(w) wrt w?
-12*w**2
Let t(k) be the second derivative of -43*k**5/20 + 15*k**2/2 - 50*k. What is the first derivative of t(g) wrt g?
-129*g**2
Suppose 4*l + 5*q = 33, 4*l - 4*q + 7 = -q. Let h(i) = 12*i - 3. Let x(y) = -4*y + 1. Let p(t) = l*h(t) + 7*x(t). What is the first derivative of p(r) wrt r?
-4
Let m(i) = -i**2 + 4*i + 2. Let a be m(4). Let k be (a*15/(-6))/(-1). Find the second derivative of 4*x + 3*x**k + 4*x - 4*x - x wrt x.
60*x**3
Let t(a) be the first derivative of 9*a**4/4 + 4*a - 4. Find the first derivative of t(g) wrt g.
27*g**2
Suppose -2*s = -0*s. Suppose 5*y + 4*k = s, k - 19 = -y + 4*k. Find the second derivative of -i**y - i - i + i wrt i.
-12*i**2
Suppose -2*d + 21 = d. Suppose 2*u = -1 + d. Find the third derivative of -s**3 - s**3 + s**2 + 5*s**u - 2*s**2 wrt s.
18
Let w = 8 - 4. What is the third derivative of 3*t**2 - 5*t**2 + 5*t**4 - 2*t**4 - 5*t**w wrt t?
-48*t
Let k(d) = 6*d**2 - 1. Let a(s) = -12*s**2 + 2. Let c(y) = 2*a(y) + 5*k(y). What is the derivative of c(l) wrt l?
12*l
Let c(z) = 2*z**2 + 0*z - z**2 + 8 - 7*z. Let o be c(6). Differentiate j**4 + 16*j - 16*j + o with respect to j.
4*j**3
Find the second derivative of -4*x**3 + 0*x - 15*x - 22*x**4 + 4*x**3 wrt x.
-264*x**2
Let k(q) be the first derivative of -5*q - 3/4*q**4 + 0*q**2 + 0*q**3 - 3. Differentiate k(p) wrt p.
-9*p**2
What is the third derivative of 29*u**2 - 43*u**2 - 4*u + 4*u + 33*u**4 wrt u?
792*u
Find the second derivative of 24*u**4 - 11*u**4 - 13*u - 18*u**4 wrt u.
-60*u**2
Let y(b) be the second derivative of -2*b**6/15 - 11*b**2/2 + 8*b. Find the first derivative of y(n) wrt n.
-16*n**3
Let g(a) = -a**2 + 2*a + 3. Suppose -l - l - 16 = 0. Let r(y) = 2*y**2 - 5*y - 8. Let h(c) = l*g(c) - 3*r(c). What is the second derivative of h(b) wrt b?
4
Suppose -6*j - g + 12 = -j, 2*j - g = 9. What is the third derivative of -j*d + 2*d**2 + 2*d + 4*d**6 + d wrt d?
480*d**3
Suppose -g + 10 = 5. What is the second derivative of -3*w + g*w**2 - 9*w**2 + 3*w**2 wrt w?
-2
Let p(b) be the second derivative of -b**5/2 + 9*b**2/2 + b. What is the derivative of p(s) wrt s?
-30*s**2
Let q be (-4)/(-10) + 54/15. What is the third derivative of 2*a**4 + a**4 + 2*a**2 + 3*a**q - 7*a**4 wrt a?
-24*a
Suppose -g + 6 = -4*v, 5*g + 4*v + 18 = -0*g. Let k be (4 - (0 - g))/1. Differentiate 2*h**4 - k*h**4 + h**4 - 1 with respect to h.
4*h**3
Let g(m) be the third derivative of m**4/24 + m**3/6 + m**2. Let s be g(5). What is the third derivative of -3*z**2 + 6*z**2 - z**s + 6*z**6 wrt z?
600*z**3
Suppose -1 = -q + 1. Differentiate u**2 + u**2 - 2 - 3*u**2 + 4*u**q wrt u.
6*u
What is the third derivative of -4*u**2 + 2*u**4 - 10*u**4 + 5*u**2 wrt u?
-192*u
Let u(v) be the first derivative of -30*v**2 + 61*v + 46. Differentiate u(c) wrt c.
-60
Let g(w) be the first derivative of -5 + w + 3/2*w**2. Find the first derivative of g(k) wrt k.
3
Let i(y) be the third derivative of 3*y**2 - 1/120*y**6 + 0*y**3 + 0 + 0*y + 0*y**5 - 1/12*y**4. Find the second derivative of i(x) wrt x.
-6*x
Find the third derivative of 8*d**3 + 8*d**3 - 5*d**2 + 0*d**2 - 19*d**3
|
{
"pile_set_name": "DM Mathematics"
}
|
eplacement from {o: 6, i: 5, t: 4, f: 1}. What is prob of picking 1 o and 2 i?
3/28
Four letters picked without replacement from {o: 13, q: 5}. Give prob of picking 2 q and 2 o.
13/51
Calculate prob of picking 4 p when four letters picked without replacement from {l: 5, p: 15}.
91/323
Three letters picked without replacement from aaoaozomzvovoa. What is prob of picking 2 z and 1 a?
1/91
Three letters picked without replacement from qmcwwqwqwlqnnnqmnm. What is prob of picking 1 w, 1 q, and 1 l?
5/204
What is prob of picking 1 s and 1 x when two letters picked without replacement from xsmxfffmfsmmm?
2/39
Three letters picked without replacement from {y: 3, e: 4, g: 2, u: 6}. Give prob of picking 3 y.
1/455
What is prob of picking 1 k and 1 o when two letters picked without replacement from {x: 1, k: 2, c: 1, j: 4, o: 1}?
1/18
Four letters picked without replacement from mumufuuuumm. Give prob of picking 3 u and 1 f.
2/33
Three letters picked without replacement from {j: 2, a: 1, e: 7}. What is prob of picking 1 e, 1 j, and 1 a?
7/60
Calculate prob of picking 2 m when two letters picked without replacement from {m: 9}.
1
Four letters picked without replacement from {l: 5, x: 2, h: 3, f: 5}. What is prob of picking 2 l and 2 x?
2/273
Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {c: 1, r: 7}.
3/8
What is prob of picking 1 i and 1 d when two letters picked without replacement from iidididddd?
8/15
What is prob of picking 4 j when four letters picked without replacement from vjjjjjvvjjjjjjjjvvv?
715/3876
Calculate prob of picking 1 k and 3 a when four letters picked without replacement from kakkaayykaakakk.
4/39
Calculate prob of picking 1 h, 1 g, and 1 v when three letters picked without replacement from agavvgzahztaavgtaa.
3/272
Two letters picked without replacement from {c: 2, k: 1, q: 3, w: 1, v: 7, e: 4}. Give prob of picking 2 q.
1/51
Three letters picked without replacement from {s: 5, i: 8}. What is prob of picking 2 i and 1 s?
70/143
Calculate prob of picking 1 k and 1 p when two letters picked without replacement from kktpkkpkkkkakpap.
3/10
What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 1, j: 2}?
2/3
Calculate prob of picking 2 i when two letters picked without replacement from {z: 1, i: 3, h: 2, e: 4}.
1/15
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vvvvltlrvn.
2/9
Two letters picked without replacement from mdmmhmddhhmmmmqq. What is prob of picking 1 d and 1 h?
3/40
What is prob of picking 2 m when two letters picked without replacement from {m: 7, l: 2, h: 2, x: 4, i: 2}?
21/136
Calculate prob of picking 1 b, 1 d, and 2 i when four letters picked without replacement from dddbdbdiddbdiddidd.
3/85
Three letters picked without replacement from duuudusuuuuzuusuudsd. What is prob of picking 2 u and 1 s?
33/190
Calculate prob of picking 3 w when three letters picked without replacement from {l: 1, w: 7, o: 10, h: 1}.
35/969
Three letters picked without replacement from {b: 9}. Give prob of picking 3 b.
1
What is prob of picking 3 y and 1 m when four letters picked without replacement from {w: 3, m: 12, y: 3}?
1/255
Two letters picked without replacement from vmvm. What is prob of picking 1 m and 1 v?
2/3
Three letters picked without replacement from {v: 2, t: 1, b: 3, y: 3, l: 2, a: 1}. What is prob of picking 1 v, 1 l, and 1 y?
3/55
Two letters picked without replacement from uguuuuuuwaaa. Give prob of picking 1 a and 1 g.
1/22
Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {p: 7, k: 5, t: 2}.
3/26
Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {e: 2, t: 2, j: 1, c: 6, o: 6}.
3/34
Calculate prob of picking 1 s, 1 g, and 1 e when three letters picked without replacement from {l: 1, g: 1, s: 1, e: 1, d: 1}.
1/10
Three letters picked without replacement from jujjgglgtgughhh. Give prob of picking 1 j, 1 g, and 1 u.
6/91
Calculate prob of picking 2 s and 2 n when four letters picked without replacement from snsnhsstvhn.
3/55
Calculate prob of picking 1 z, 1 h, and 1 n when three letters picked without replacement from jnzho.
1/10
What is prob of picking 2 m when two letters picked without replacement from {r: 3, m: 3}?
1/5
Calculate prob of picking 2 k when two letters picked without replacement from {k: 10, m: 9}.
5/19
Two letters picked without replacement from {a: 8, e: 5}. Give prob of picking 2 e.
5/39
Calculate prob of picking 2 q when two letters picked without replacement from bqbbbbbbqbbbbbbbbbbb.
1/190
Calculate prob of picking 2 s and 1 b when three letters picked without replacement from sbbbbs.
1/5
Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {s: 1, g: 1, b: 1, w: 1, e: 2, x: 1}.
2/21
Calculate prob of picking 3 n and 1 d when four letters picked without replacement from {d: 13, n: 5}.
13/306
Two letters picked without replacement from {u: 2, a: 1, t: 4, c: 2}. What is prob of picking 1 c and 1 a?
1/18
Three letters picked without replacement from kkkk. Give prob of picking 3 k.
1
Three letters picked without replacement from {z: 4, y: 4, q: 2, t: 1}. What is prob of picking 3 z?
4/165
Calculate prob of picking 2 t when two letters picked without replacement from {u: 8, t: 2}.
1/45
Four letters picked without replacement from {d: 5, f: 13}. Give prob of picking 2 d and 2 f.
13/51
Calculate prob of picking 1 m and 3 b when four letters picked without replacement from bbbmbm.
8/15
Two letters picked without replacement from {k: 1, x: 4, m: 3, y: 3}. Give prob of picking 1 k and 1 y.
3/55
What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 8, s: 2}?
16/45
Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {l: 3, v: 3, x: 12}.
1/255
Three letters picked without replacement from {o: 5, m: 4, g: 5}. What is prob of picking 2 g and 1 m?
10/91
Two letters picked without replacement from {h: 10, n: 6, l: 2}. Give prob of picking 2 h.
5/17
Four letters picked without replacement from lwliwlk. What is prob of picking 1 i, 1 k, and 2 l?
3/35
What is prob of picking 2 v when two letters picked without replacement from {j: 2, v: 3, o: 4}?
1/12
What is prob of picking 1 j, 2 p, and 1 x when four letters picked without replacement from {p: 3, o: 3, x: 1, j: 3}?
3/70
Three letters picked without replacement from jjjhjh. Give prob of picking 1 h and 2 j.
3/5
Calculate prob of picking 3 o when three letters picked without replacement from {c: 3, j: 7, o: 4}.
1/91
Three letters picked without replacement from zbzzbzbzbzbbzzbbbz. What is prob of picking 3 z?
7/68
Three letters picked without replacement from {b: 3, s: 7}. Give prob of picking 1 s and 2 b.
7/40
Three letters picked without replacement from {x: 2, s: 7}. Give prob of picking 2 s and 1 x.
1/2
Two letters picked without replacement from vcvnn. What is prob of picking 2 n?
1/10
What is prob of picking 3 l and 1 p when four letters picked without replacement from zlppplxpplg?
1/66
Three letters picked without replacement from iaiaaaiiaa. What is prob of picking 3 i?
1/30
Three letters picked without replacement from ffkkbff. What is prob of picking 2 f and 1 k?
12/35
Four letters picked without replacement from yyjjjyjyyyyyajyyy. Give prob of picking 4 j.
1/476
Three letters picked without replacement from dvzszvhvvissvz. What is prob of picking 1 z, 1 d, and 1 s?
9/364
Calculate prob of picking 1 o and 1 d when two letters picked without replacement from dddodddd.
1/4
Three letters picked without replacement from ttbabbbvtvnagnn. Give prob of picking 1 t and 2 n.
9/455
Three letters picked without replacement from ruurbuugguuj. What is prob of picking 1 u, 1 r, and 1 j?
3/55
Calculate prob of picking 1 u and 3 f when four letters picked without replacement from ufnnqpuxxufxfqnxn.
3/2380
Calculate prob of picking 1 g, 2 k, and 1 h when four letters picked without replacement from {n: 7, k: 2, g: 1, h: 10}.
2/969
Four letters picked without replacement from zzhzzzqhqzzqh. What is prob of picking 1 z and 3 q?
7/715
Three letters picked without replacement from {f: 4, g
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common factor of 222 and 86.
2
What is the highest common factor of 17 and 9673?
17
What is the highest common factor of 30 and 30?
30
Calculate the greatest common factor of 323 and 76.
19
What is the greatest common factor of 14944 and 96?
32
Calculate the greatest common factor of 1850 and 1369.
37
What is the greatest common divisor of 884 and 286?
26
Calculate the greatest common divisor of 3654 and 1008.
126
Calculate the highest common divisor of 538 and 21251.
269
What is the highest common divisor of 4 and 4?
4
What is the highest common divisor of 3212 and 396?
44
Calculate the greatest common factor of 368 and 656.
16
What is the greatest common factor of 105 and 30?
15
What is the greatest common factor of 39 and 16770?
39
Calculate the greatest common factor of 13 and 481.
13
Calculate the greatest common factor of 69 and 33833.
23
What is the greatest common factor of 224 and 23968?
224
What is the highest common divisor of 6352 and 16?
16
Calculate the highest common divisor of 13 and 2.
1
Calculate the highest common divisor of 43024 and 32.
16
What is the highest common divisor of 18 and 48?
6
Calculate the highest common factor of 15 and 435.
15
Calculate the highest common divisor of 34 and 578.
34
Calculate the greatest common factor of 495 and 110.
55
Calculate the highest common divisor of 74 and 50098.
74
Calculate the highest common divisor of 5850 and 675.
225
What is the greatest common divisor of 1071 and 2448?
153
Calculate the highest common divisor of 6 and 1536.
6
Calculate the highest common factor of 11 and 385.
11
Calculate the greatest common divisor of 1134 and 98.
14
Calculate the greatest common factor of 7528 and 16.
8
Calculate the highest common divisor of 675 and 81.
27
What is the greatest common divisor of 13593 and 69?
69
Calculate the greatest common factor of 564 and 1457.
47
Calculate the greatest common divisor of 1135 and 245.
5
Calculate the greatest common factor of 308 and 572.
44
What is the highest common divisor of 9737 and 1819?
107
What is the greatest common divisor of 2619 and 194?
97
What is the greatest common factor of 1216 and 19?
19
Calculate the highest common divisor of 24 and 324.
12
Calculate the greatest common divisor of 416 and 52.
52
What is the highest common factor of 528 and 99?
33
Calculate the greatest common factor of 60 and 285.
15
Calculate the highest common factor of 23360 and 480.
160
Calculate the greatest common divisor of 86 and 129.
43
Calculate the highest common factor of 49 and 2.
1
What is the highest common factor of 104 and 403?
13
Calculate the greatest common factor of 245 and 147.
49
What is the greatest common factor of 52 and 11089?
13
Calculate the greatest common factor of 69 and 621.
69
Calculate the highest common divisor of 2522 and 13.
13
Calculate the greatest common factor of 63 and 14.
7
Calculate the highest common factor of 618 and 6.
6
What is the highest common factor of 798 and 1729?
133
What is the greatest common divisor of 221 and 119?
17
Calculate the greatest common factor of 21 and 77.
7
Calculate the highest common divisor of 64 and 2368.
64
What is the highest common divisor of 140 and 300?
20
Calculate the greatest common factor of 36 and 44964.
36
What is the greatest common divisor of 170 and 442?
34
Calculate the greatest common divisor of 1112 and 16.
8
What is the highest common divisor of 243 and 9?
9
What is the greatest common factor of 14 and 357?
7
Calculate the greatest common factor of 1 and 47.
1
Calculate the greatest common divisor of 2055 and 15.
15
What is the highest common divisor of 2793 and 7791?
147
What is the highest common factor of 300 and 20?
20
What is the highest common factor of 5 and 49?
1
Calculate the highest common factor of 33 and 18.
3
Calculate the greatest common divisor of 105 and 455.
35
Calculate the greatest common divisor of 20 and 740.
20
Calculate the highest common divisor of 332 and 4067.
83
What is the greatest common factor of 5661 and 555?
111
Calculate the highest common divisor of 24 and 876.
12
Calculate the highest common factor of 24 and 6.
6
What is the greatest common factor of 82 and 6?
2
What is the greatest common divisor of 17760 and 111?
111
Calculate the highest common divisor of 56 and 23772.
28
Calculate the greatest common divisor of 284 and 639.
71
Calculate the highest common divisor of 200 and 16.
8
Calculate the highest common factor of 9108 and 207.
207
Calculate the greatest common factor of 342 and 950.
38
Calculate the greatest common factor of 78 and 42.
6
What is the highest common divisor of 2023 and 7?
7
What is the greatest common factor of 672 and 112?
112
What is the highest common divisor of 32 and 1472?
32
Calculate the highest common factor of 132 and 8256.
12
What is the highest common factor of 26 and 17498?
26
What is the highest common divisor of 93 and 17143?
31
What is the highest common divisor of 76 and 4?
4
What is the greatest common divisor of 177 and 18?
3
What is the highest common factor of 153 and 663?
51
Calculate the highest common divisor of 372 and 24.
12
What is the highest common divisor of 165 and 220?
55
Calculate the greatest common factor of 7807 and 74.
37
Calculate the highest common divisor of 70 and 2002.
14
Calculate the greatest common divisor of 126 and 294.
42
What is the greatest common factor of 112 and 280?
56
What is the highest common divisor of 54 and 1254?
6
What is the highest common factor of 231 and 264?
33
What is the highest common divisor of 70 and 945?
35
Calculate the highest common divisor of 364 and 24479.
91
What is the greatest common factor of 24 and 192?
24
What is the greatest common factor of 378 and 273?
21
What is the greatest common factor of 20 and 13210?
10
What is the highest common factor of 365 and 292?
73
Calculate the highest common divisor of 2 and 179.
1
Calculate the highest common divisor of 17 and 22049.
17
Calculate the greatest common factor of 657 and 3139.
73
Calculate the greatest common factor of 405 and 45.
45
Calculate the greatest common factor of 387 and 9.
9
Calculate the highest common factor of 164 and 124.
4
Calculate the highest common factor of 56 and 252.
28
Calculate the highest common factor of 161 and 14.
7
What is the highest common divisor of 145 and 5?
5
Calculate the greatest common divisor of 12 and 13548.
12
What is the greatest common factor of 14706 and 1368?
342
What is the highest common divisor of 1734 and 102?
102
Calculate the highest common factor of 20 and 45.
5
What is the greatest common factor of 54 and 63?
9
What is the highest common factor of 38 and 2318?
38
Calculate the highest common divisor of 477 and 54.
9
What is the highest common factor of 315 and 2016?
63
What is the greatest common divisor of 14195 and 85?
85
Calculate the greatest common divisor of 342 and 798.
114
Calculate the highest common divisor of 189 and 108.
27
What is the highest common factor of 84 and 63?
21
What is the highest common divisor of 6 and 7899?
3
Calculate the greatest common factor of 1976 and 1064.
152
Calculate the highest common factor of 13 and 2041.
13
What is the highest common divisor of 14210 and 2320?
290
What is the highest common factor of 742 and 42?
14
What is the highest common divisor of 65 and 182?
13
What is the highest common factor of 624 and 24?
24
Calculate the greatest common divisor of 6010 and 10.
10
Calculate the greatest common divisor of 102 and 3910.
34
What is the greatest common factor of 110 and 90?
10
Calculate the greatest common factor of 39 and 411.
3
Calculate the greatest common divisor of 80 and 10.
10
What is the highest common factor of 270 and 5?
5
Calculate the greatest common factor of 322 and 1748.
46
Calculate the greatest common factor of 340 and 136.
68
Calculate the highest common divisor of 49 and 133.
7
Calculate the highest common factor of 162 and 126.
18
What is the greatest common divisor of 26977 and 53?
53
What is the greatest common divisor of 26 and 351?
13
What is the highest common factor of 1462 and 170?
34
Calculate the greatest common divisor of 39 and 13.
13
What is the highest common factor of 130 and 650?
130
What is the greatest common factor of 35 and 42?
7
Cal
|
{
"pile_set_name": "DM Mathematics"
}
|
ds?
36
How many minutes are there in one quarter of a hour?
15
What is 933.049 minutes in microseconds?
55982940000
What is 0.9366042 minutes in nanoseconds?
56196252000
How many millilitres are there in 6/5 of a litre?
1200
How many years are there in nine tenths of a millennium?
900
What is 899.5783 micrometers in nanometers?
899578.3
What is 53.23206 hours in weeks?
0.3168575
What is 21/2 of a second in milliseconds?
10500
What is 37/2 of a litre in millilitres?
18500
What is 3/10 of a centimeter in millimeters?
3
How many tonnes are there in 0.2529094ng?
0.0000000000000002529094
How many kilograms are there in fifty-seven fifths of a tonne?
11400
What is 5/4 of a millennium in years?
1250
How many microseconds are there in three tenths of a millisecond?
300
What is 21.00373ml in litres?
0.02100373
What is 3/40 of a microgram in nanograms?
75
How many seconds are there in fifteen quarters of a minute?
225
How many meters are there in one quarter of a kilometer?
250
What is seven eighths of a meter in millimeters?
875
How many minutes are there in three sixteenths of a day?
270
What is twenty-one fifths of a kilogram in grams?
4200
Convert 0.6507292 decades to months.
78.087504
How many months are there in fourty-eight fifths of a century?
11520
How many litres are there in 0.3406584ml?
0.0003406584
What is twenty-six fifths of a kilogram in grams?
5200
How many minutes are there in 50367.29 hours?
3022037.4
How many months are there in 3/5 of a century?
720
Convert 6.216818 centuries to years.
621.6818
What is 39894.24nm in millimeters?
0.03989424
How many grams are there in three eighths of a kilogram?
375
How many weeks are there in 554.3846 days?
79.1978
How many grams are there in 0.2453261kg?
245.3261
Convert 67.31215l to millilitres.
67312.15
Convert 6102.2 weeks to seconds.
3690610560
How many milligrams are there in 31.3912ng?
0.0000313912
How many seconds are there in 6/5 of a minute?
72
How many millilitres are there in one quarter of a litre?
250
How many grams are there in 3/32 of a tonne?
93750
How many seconds are there in five quarters of a minute?
75
Convert 0.7633396l to millilitres.
763.3396
How many milliseconds are there in 4.83773 weeks?
2925859104
What is 7241.962 millilitres in litres?
7.241962
How many months are there in 8286.73 millennia?
99440760
How many millilitres are there in 179.0952 litres?
179095.2
What is seventeen halves of a micrometer in nanometers?
8500
What is 3/10 of a centimeter in micrometers?
3000
How many seconds are there in three eighths of a hour?
1350
What is 0.8910679ml in litres?
0.0008910679
What is eleven quarters of a day in minutes?
3960
What is six fifths of a litre in millilitres?
1200
What is one fifth of a millimeter in micrometers?
200
What is 64/5 of a microgram in nanograms?
12800
What is ten thirds of a decade in months?
400
How many micrometers are there in 5214.211 kilometers?
5214211000000
How many decades are there in nine tenths of a century?
9
What is 96.3537mm in kilometers?
0.0000963537
How many micrograms are there in 9/10 of a milligram?
900
What is 3/5 of a milligram in micrograms?
600
What is 0.8043658 millennia in months?
9652.3896
How many grams are there in 6/5 of a kilogram?
1200
How many seconds are there in one quarter of a hour?
900
How many meters are there in 3/8 of a kilometer?
375
How many hours are there in four thirds of a week?
224
What is 17/6 of a minute in seconds?
170
What is 21/2 of a milligram in micrograms?
10500
What is 15/4 of a hour in seconds?
13500
How many nanometers are there in 32144.67 meters?
32144670000000
Convert 0.5861971 centuries to millennia.
0.05861971
What is 8.128009l in millilitres?
8128.009
Convert 80057.93 centimeters to nanometers.
800579300000
What is 1/10 of a gram in micrograms?
100000
What is 3/5 of a millimeter in micrometers?
600
Convert 81126.48 weeks to seconds.
49065295104
How many hours are there in 715438.71s?
198.732975
How many seconds are there in 6805.269 hours?
24498968.4
Convert 335.670741 minutes to weeks.
0.03330066875
What is 5/8 of a day in hours?
15
What is 461.776 minutes in milliseconds?
27706560
What is 3377.577 hours in nanoseconds?
12159277200000000
How many months are there in six fifths of a decade?
144
How many millilitres are there in five quarters of a litre?
1250
Convert 1536.186 years to millennia.
1.536186
How many millilitres are there in 2.248162l?
2248.162
Convert 62.44951t to grams.
62449510
How many minutes are there in nine tenths of a week?
9072
How many millilitres are there in 2494.385 litres?
2494385
How many minutes are there in 2/45 of a day?
64
What is 515.2324 millilitres in litres?
0.5152324
How many millilitres are there in twenty-one halves of a litre?
10500
Convert 0.2584859 nanograms to tonnes.
0.0000000000000002584859
What is 1/10 of a centimeter in micrometers?
1000
Convert 91034.05 centuries to millennia.
9103.405
What is nineteen quarters of a litre in millilitres?
4750
Convert 201304.8kg to grams.
201304800
How many nanograms are there in fifty-one quarters of a microgram?
12750
What is ten ninths of a week in minutes?
11200
How many centuries are there in 51962.77 decades?
5196.277
Convert 9367.73 decades to millennia.
93.6773
Convert 42379.16nm to centimeters.
0.004237916
Convert 5190.969mg to tonnes.
0.000005190969
What is 68480.97nm in millimeters?
0.06848097
What is three sevenths of a week in days?
3
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in nineteen quarters of a litre?
4750
What is 75/8 of a decade in months?
1125
How many decades are there in 1927206.6 months?
16060.055
Convert 0.76022 tonnes to micrograms.
760220000000
What is three tenths of a millisecond in microseconds?
300
How many millennia are there in 4928.994 decades?
49.28994
Convert 4383.855 seconds to days.
0.0507390625
How many milliseconds are there in 2/15 of a minute?
8000
How many milligrams are there in 0.8301526g?
830.1526
What is fifty-five halves of a milligram in micrograms?
27500
What is 1668.1725 months in years?
139.014375
Convert 896.2832 microseconds to milliseconds.
0.8962832
How many seconds are there in 1/72 of a hour?
50
Convert 478413.3 millilitres to litres.
478.4133
How many days are there in two sevenths of a week?
2
What is 3/5 of a decade in months?
72
How many meters are there in 1676.771 centimeters?
16.76771
How many minutes are there in 20994.126 nanoseconds?
0.0000003499021
What is 8/3 of a week in minutes?
26880
How many micrograms are there in 4.812844kg?
4812844000
What is sixty-one quarters of a litre in millilitres?
15250
How many millimeters are there in one fifth of a centimeter?
2
How many nanograms are there in one tenth of a microgram?
100
What is 89.45387m in millimeters?
89453.87
What is 16314.57 micrometers in nanometers?
16314570
What is 0.9584163 centuries in months?
1150.09956
How many millilitres are there in three eighths of a litre?
375
What is 37069.22 millilitres in litres?
37.06922
What is 31/5 of a meter in centimeters?
620
How many meters are there in 438.3204 nanometers?
0.0000004383204
Convert 95722.94 litres to millilitres.
95722940
How many micrograms are there in 5.576896 tonnes?
5576896000000
What is five sixths of a year in months?
10
What is four thirds of a decade in months?
160
How many millilitres are there in thirty-seven halves of a litre?
18500
What is 375.5977ml in litres?
0.3755977
Convert 0.8352108 hours to microseconds.
3006758880
How many milliseconds are there in four thirds of a minute?
80000
What is twenty-one fifths of a meter in centimeters?
420
How many minutes are there in 3/10 of a week?
3024
How many centimeters are there in fifty-one quarters of a meter?
1275
Convert 26.0751474s to days.
0.0003017956875
What is 17/2 of a litre in millilitres?
8500
What is 0.681325ng in milligrams?
0.000000681325
What is 62.19708us in minutes?
0.000001036618
What is 907316.1 months in centuries?
756.09675
How many centuries are there in 356141.7 months?
296.78475
Convert 2.115324 millimeters to meters.
0.002115324
How many minutes are there in fifty-three fifths of a hour?
636
What is 0.7680466 centuries in months?
921.65592
What is 1/20 of a microgram in nanograms?
50
How many mi
|
{
"pile_set_name": "DM Mathematics"
}
|
remainder when y is divided by 9?
6
Suppose 34 = -3*h + 103. What is the remainder when h is divided by 23?
0
Let w(p) = -p - 1. Let q be w(1). Let k be (-1)/(0 + q/118). Let g = k - 39. What is the remainder when 37 is divided by g?
17
Suppose -4*f + 4*p = -52, -p + 3*p = -f + 10. Let j be -7*6*(-2)/(-4). Calculate the remainder when (-6)/j + (-236)/(-7) is divided by f.
10
Suppose 0 = -7*b - 2*b. Suppose -42*w + 39*w + 30 = b. Let s(y) = y + 19. What is the remainder when s(0) is divided by w?
9
Let j(w) = -2*w**2 + 76*w - 63. What is the remainder when 36 is divided by j(37)?
3
Suppose 2*d + 110 = 4*z - z, -2*z - 2*d = -70. What is the remainder when 131 is divided by z?
23
Suppose -9 = 5*j - 2*n - 2*n, n = 1. Calculate the remainder when 81 is divided by ((-9)/(-27))/(j/(-42)).
11
Suppose 3*y = -0*y + 75. Let q = y - -16. What is the remainder when q is divided by 14?
13
Let i be (-56)/16 + (-6)/4. Let c = 0 + i. Let m = c + 28. Calculate the remainder when m is divided by 8.
7
Suppose 0 = t, -11*t = 3*c - 7*t - 24. What is the remainder when 7/2*(-12)/(-2) is divided by c?
5
Let l be 6 - 4 - (2 + 0). Suppose -4*p + 12 = -4*w - l*p, -2*p - 3 = w. Calculate the remainder when 25 is divided by (w/9)/((-4)/156).
12
Calculate the remainder when 149 is divided by 3/(-2) - (285/(-10) - -8).
16
Suppose 5*n - 5*r - 4 = 56, 9 = -3*r. Suppose -4*j - 2 = -2*j, i + j = 12. What is the remainder when i is divided by n?
4
What is the remainder when 2*(-1 + 6/(-4)) + 72 is divided by (-101)/(-3) - 2/(-6)?
33
Suppose 2*f - 5 = -c, -6*c + 17 = -5*c - f. Calculate the remainder when 192 is divided by c.
10
Suppose 0*l - l + 4*h = -4, 5*l - 58 = h. Suppose -l*z - 28 = -14*z. Let i(o) = -o**2 - 16*o - 1. What is the remainder when i(-14) is divided by z?
13
What is the remainder when (14 + -13)/((21/297)/7) is divided by 35?
29
Let s(h) = -11*h - 3. Let v = 69 + -58. Calculate the remainder when s(-4) is divided by v.
8
Suppose 254 + 82 = 3*m. Let x = m + -79. Calculate the remainder when 129 is divided by x.
30
Let s = -522 - -1203. What is the remainder when s is divided by 11?
10
Let q = 6 + -14. Let p = q + 15. Suppose -p = -5*j + 53. Calculate the remainder when j is divided by 5.
2
Suppose 18*i - 2550 = -12*i. Calculate the remainder when i is divided by 22.
19
Let p(s) = s**3 + 31*s**2 + 17. Suppose -4*a - 15 = -l - 47, -l - 25 = -3*a. What is the remainder when p(-31) is divided by a?
3
Let y(w) = 7*w**3 + w**2 - 6*w + 7. Calculate the remainder when y(3) is divided by 21.
19
Let f = -29 + 41. Let t = 23 - f. Suppose -y - 3*z - 108 = -4*y, -124 = -4*y - z. What is the remainder when y is divided by t?
10
Let m = 43 + -28. Let g be 16/7 + 6/(-21). Suppose 84 = g*p + p. Calculate the remainder when p is divided by m.
13
Calculate the remainder when 20 - 15 - (-152)/(16/4) is divided by 3/(-2)*(-44)/3.
21
Suppose 2*b - 3*o + 3 = 0, 2*b - 3*b + 4*o - 4 = 0. Suppose -5*w - 6 + 1 = b. Let z = 7 - w. Calculate the remainder when 22 is divided by z.
6
Let d(o) = -2*o**2 - 7*o + 7. Let g be d(-6). Let l = g - -26. Calculate the remainder when 5 is divided by l.
2
Suppose -2*b + 0*b + 330 = 0. What is the remainder when b is divided by 12?
9
What is the remainder when 77 is divided by (1 - 218)*(-4)/(112/4)?
15
Let f(y) = 8*y**2 + 19*y + 10. Let c be f(-9). Suppose 0 = q + 4 - 3, -3*w - 2*q = -c. What is the remainder when w is divided by 33?
31
Calculate the remainder when (-15 + 10)/((-1)/27) is divided by 34.
33
Let c = 2 - 2. Suppose c = v - 3 - 58. Calculate the remainder when v is divided by 16.
13
Let q(i) = -i**3 - 4*i**2 - 3*i + 5. Suppose 0 = -3*b + 2*s + 33, 13*b - 6*s = 10*b + 45. What is the remainder when q(-4) is divided by b?
8
Let y(w) = w**3 - 24*w**2 - 34*w + 235. Let f = 0 - 0. Suppose 0 = 3*d + 3*h - 1 - 2, f = 5*d - 3*h - 21. What is the remainder when y(25) is divided by d?
1
Suppose -l = 3*x - 114, -28 = -x + l + 2*l. Let a(w) = -w**3 - 16*w**2 + 20. Calculate the remainder when x is divided by a(-16).
17
Let y(c) = c + 23. Suppose 2*n - i - 28 = 0, 5*n = 4*i + 28 + 36. Calculate the remainder when y(n) is divided by 10.
9
Suppose 0*b = 2*b + 24. Let s = -4 - b. Let a = -44 - -73. What is the remainder when a is divided by s?
5
What is the remainder when (-108)/99*22/(-3) is divided by 3?
2
Let s = 673 - 480. What is the remainder when s is divided by 49?
46
Calculate the remainder when 111 is divided by (0 - -27) + -16 + 37 + -13.
6
Let f(q) = q**2 - 15*q - 97. What is the remainder when f(20) is divided by 3?
0
Let r = -207 + 381. What is the remainder when r is divided by 44?
42
Suppose 0 = -3*i - 0*i + 267. Let r(d) = -62*d. Let a be r(1). Let p = -32 - a. Calculate the remainder when i is divided by p.
29
Let q = 57 + 49. What is the remainder when q is divided by 27?
25
Suppose -37 = 2*h + 7. Let g = h + 64. What is the remainder when 54 is divided by ((-1)/(-3))/(1/g)?
12
Suppose -99*t + 15645 + 12966 = 0. What is the remainder when t is divided by 59?
53
Let s(f) = 11*f - 1. Let u(y) = -y + y**3 - 1 - 3 - 3*y**3 - 11*y**2 + y**3. Let d be u(-11). What is the remainder when s(d) is divided by 26?
24
Let f be (-2)/12 + (-843)/18. Let j = 30 + f. Let z = j + 25. Calculate the remainder when 13 is divided by z.
5
Suppose 0 = -6*n - 9*n + 210. Let v = 48 - 13. What is the remainder when v is divided by n?
7
Calculate the remainder when 8/(24/(-21))*-50 is divided by 39.
38
Let b(m) = 6*m. Let v = -33 - -91. What is the remainder when v is divided by b(5)?
28
Suppose -1685 = -12*x + 3463. Calculate the remainder when x is divided by 31.
26
Let w = -25 + 45. Suppose -p - 3 = -3*a, 0*p + 2*a = -3*p - w. Calculate the remainder when 24 is divided by p/(-12)*(-28)/(-1).
10
Suppose -2*z + 3*v = 6 - 12, v + 5 = z. Calculate the remainder when 152 is divided by z.
8
Let o be 378084/30 - 2/(-10). Suppose 0 = 4*l + 2*n + 23520, 4*n - o = 3*l + 5037. What is the remainder when (-2)/9 + l/(-216) is divided by 7?
6
Let j(x) = -x**3 + 7*x**2 + 5. Let m be j(5). Suppose 0 = -14*o - 0*o + 140. Let s = o + m. Calculate the remainder when s is divided by 34.
31
Let r(p) = -2*p - 7. Let z = 10 + -17. Let m = 1 - -19. Calculate the remainder when m is divided by r(z).
6
Suppose -21*m - 46*m = -654 - 1021. Let r = 111 + 13. What is the remainder when r is divided by m?
24
Let s be 41/3 - (-4)/(-6). Suppose 2*w - s - 7 = 0. Let x = 3 + 1. What is the remainder when w is divided by x?
2
Suppose 21 = -4*j + 9. Suppose -2*o = 4*h - 80 - 54, h + 2*o = 29. What is the remainder when h is divided by j*-1*(-76)/(-12)?
16
Let u(w) = 7*w + 83. Suppose m - 1 = 6. Calculate the remainder when u(-10) is divided by m.
6
Let n(j) = -12*j + 8. Suppose -3*r - 2*l = -289, -3*r + 2*l + 106 + 175 = 0. Calculate the remainder when r is divided by n(-2).
31
Let a = -52 + 69. Let r(t) = 0 + 5*t + t**2 - 1 - 3. What is the remainder when r(-9) is divided by a?
15
Suppose 2*h = 3*r + 12, -h + 12 = -3*h - 3*r. Suppose -3*j - 2*j + 25 = h. Let k(x) = x**3 - 4*x**2 - 2*x - 6. What is the remainder when k(5) is divided by j?
4
Let m = -576 - -665. What is the remainder when m is divided by 80?
9
Suppose -4*a - 2*a + 42 = 0. Let h(b) = b**2 - 4*b - 3. Let m be h(a). Let c = m + -10. Calculate the remainder when 29 is divided by c.
5
Let f(r) = r**2 + 4*r - 2. Let c be f(-5). Suppose -c*z - 20 + 134 = 0. Calculate the remainder when z is divided by 13.
12
Let m be ((-114)/(-8))/((-6)/(-8)). Let i = -16 + m. Suppose 73 + i = 4*w. Calculate the remainder when 75 is divided by w.
18
Suppose -2*z + 42 - 2 = 0. Let r be (-210)/(z/4)*1. Let w = -33 - r. What is the remainder when w is divided by 3?
0
Calculate the remainder when (356 - -19) + 8/(-1) is divided by 46.
45
Suppose -o + 3*o = 10. Let l(h) = h**2 + 20*h + 23. Let b be l(-16). Let s = -33 - b. What is the remainder when s is divided by o?
3
What is the remainder when 5 + 1 - (-4 + -44 + 8) is divided by 14?
4
Suppose 0 = -25*k + 12873 + 6052. What is the remainder when k is divided by 38?
35
Let j = -2233 + 2447. What is the remainder when j is divided by 54?
52
Let m(b) = 4*b - 60. Let y(t) = 7*t - 119. Let r = -5 - -10. Let u(a) = r*m(a) - 3*y(a). What is the remainder when u(0) is divided by 20?
17
Let n(q) = 149*q**3 + q*
|
{
"pile_set_name": "DM Mathematics"
}
|
0.4.
-3.264
What is -0.189837 less than -16?
-15.810163
Calculate 1805 + -0.4.
1804.6
What is the distance between 8042 and -1.6?
8043.6
Subtract 0.2 from 65612.
65611.8
Add together 22 and -121.
-99
What is -2 - 5.61?
-7.61
What is -0.105 plus -9.78?
-9.885
What is the difference between 130 and 0?
130
-0.43+3
2.57
What is -52.894 plus -5?
-57.894
Work out 264045 + -2.
264043
Total of 2571.42 and 0.3.
2571.72
Subtract 0.3 from 75286.
75285.7
Work out 368147 - 0.2.
368146.8
Calculate 97 - 403.8.
-306.8
-100493 + 0.12
-100492.88
Work out -5.639 - -0.9.
-4.739
4+12450
12454
What is the difference between -0.3 and 4981.79?
4982.09
Calculate -0.0368 + -0.1.
-0.1368
Work out -0.00304 - 26.9.
-26.90304
Put together -0.1 and -109581.
-109581.1
Work out 0.20368 + -3.
-2.79632
What is -10 + 1.824?
-8.176
Work out 0.7 - -229094.
229094.7
Total of 0.5 and 368690.
368690.5
Work out 12 - -28832.
28844
What is 0.002 less than 0.871?
0.869
-0.002549 - -10
9.997451
Subtract 7805 from -19.
-7824
Add -0.006 and -2312.3.
-2312.306
Calculate 0.5 - 0.07313.
0.42687
Add together -0.083 and -1400.
-1400.083
-0.14 - 182
-182.14
Subtract 0.0485 from -537.
-537.0485
What is 213 take away 1098?
-885
Work out -4 - 1970.7.
-1974.7
Add 0 and 12.6.
12.6
Subtract -0.1419 from 0.4.
0.5419
5.4 - 68.7
-63.3
Calculate 1121.03 - -4.
1125.03
Work out -3 + -3.8.
-6.8
Calculate -5006 - -0.1.
-5005.9
Work out 335 + 669.
1004
Work out -0.12 + 159.126.
159.006
Total of -17 and 83719.
83702
Subtract -196.206 from 0.4.
196.606
-3.8 - 0.001659
-3.801659
Total of 0.8 and 716429.
716429.8
Add -4 and -1.456.
-5.456
-0.2 + -1.506
-1.706
Calculate 120 + 0.19.
120.19
-6+-0.374405
-6.374405
What is -1 less than -2063?
-2062
What is -84.9 + -0.07?
-84.97
Calculate 1 - -3663.
3664
Sum -253 and 7.
-246
What is -592165 - 1?
-592166
Work out -4 + 152281.
152277
Calculate 6 - 228384.
-228378
Subtract 0.5 from -260.
-260.5
What is 31 take away -0.484?
31.484
Work out 7 + 74.
81
Add together 2529 and 1.
2530
What is -1.8 plus 1.3?
-0.5
Calculate -0.05 - 284968.
-284968.05
What is -62043 - -0.5?
-62042.5
5+-525
-520
Work out -211885 - -0.4.
-211884.6
What is the difference between 283349 and -2?
283351
Calculate -0.531 + 0.3.
-0.231
What is the distance between 6331 and 0?
6331
0.077+-0.07
0.007
-4.3+83.8
79.5
What is -767 less than -16.7?
750.3
Put together 1787 and 3035.
4822
Subtract 141681 from 3.
-141678
Total of -2234.37 and 5.
-2229.37
What is the distance between -49 and 1.6?
50.6
Work out 281.13 + 4.
285.13
Subtract -0.22572 from -182.
-181.77428
2580.1+-0.5
2579.6
What is 0.3 - -0.098?
0.398
Add 9276 and 716.
9992
Add 355529 and -0.1.
355528.9
Add 1.97 and 0.088.
2.058
What is 19 - -20525?
20544
What is 172 + -1.6?
170.4
Calculate 0.4 - -0.17817.
0.57817
What is 1.7 take away 2.2498?
-0.5498
Work out 0.5 - 9.0346.
-8.5346
Add -59 and 127.
68
What is 1 minus 546579?
-546578
-135+152.5
17.5
Sum -0.27 and -0.105.
-0.375
Work out -8 - 144705.
-144713
What is 7260260 - 3?
7260257
Subtract 0 from 46429.
46429
What is the difference between -0.4 and -0.032?
0.368
What is 0.04 + -0.056?
-0.016
What is 204.9 - 6.77?
198.13
What is 1831 take away -73?
1904
What is 0.05 less than 145.68?
145.63
What is 0.1 take away -3044942?
3044942.1
What is 382911.8 - -0.5?
382912.3
What is the difference between 5 and 89467.2?
89462.2
Calculate -14 + 201.
187
What is 15 less than -44.5?
-59.5
What is 2 - 32596?
-32594
Total of 5 and -570.2.
-565.2
Total of -417.4 and 0.2.
-417.2
What is -0.1202 take away 1?
-1.1202
What is -1.41 take away 630?
-631.41
What is the distance between 0.2225 and 3?
2.7775
Work out -188 - -0.0322.
-187.9678
What is the difference between -3874.171 and -2?
3872.171
-3 - 333948
-333951
Calculate 752 - -184.
936
Work out 233 - 1.17.
231.83
What is 0.4 - 2763?
-2762.6
What is 3.9 + 1.405?
5.305
Put together -675.9 and -3.
-678.9
What is the difference between -5 and -1140351?
1140346
Sum -1004 and 0.2.
-1003.8
What is the distance between 217 and 480?
263
Work out 3 - -7.39544.
10.39544
Total of -1429 and 6.
-1423
Calculate 182345 - -0.2.
182345.2
Calculate -5688768 + -0.5.
-5688768.5
0.83+-106
-105.17
229 - 992
-763
-2023793+-2
-2023795
0.23 - -20060
20060.23
What is -0.153 take away -4825?
4824.847
What is 12483 + 2.1?
12485.1
What is the difference between 6140 and 1.24?
6138.76
Calculate -2.9415 + 16.9.
13.9585
Total of -0.4 and -3.22.
-3.62
What is the difference between -1159 and -0.071?
1158.929
What is the difference between -114.4 and 0?
114.4
Subtract 0 from 318.37.
318.37
-15+2.4
-12.6
Sum -5234356 and -0.1.
-5234356.1
What is -2 - -1.17879?
-0.82121
What is 0.083 plus 0.07?
0.153
Sum 19388 and 2.
19390
3032 - -0.08
3032.08
What is the distance between 179.1 and -0.07?
179.17
Put together 12043 and -0.58.
12042.42
Add together -1716.75 and 0.03.
-1716.72
Subtract -30 from -88.
-58
Put together 0.177 and -0.049.
0.128
What is -0.326 less than 0.02?
0.346
Put together 0.2 and -0.151.
0.049
Put together -36534 and -0.11.
-36534.11
-30.2 - 4.9
-35.1
What is 0.13 plus -0.21?
-0.08
Work out -11.9 + -67.
-78.9
Total of -311 and -0.2.
-311.2
What is -0.42 minus 27048?
-27048.42
What is -15 less than -43805?
-43790
Add together 38 and -2.4.
35.6
What is -0.03 - 3393?
-3393.03
Sum -0.4 and 0.287401.
-0.112599
What is -163 - 370?
-533
What is 984 plus 5?
989
What is 14.447 minus 9?
5.447
Add together 0.3 and 420.
420.3
Calculate -0.39 - -43115.
43114.61
What is 1.3 minus -0.06373?
1.36373
-0.49 + 0.003
-0.487
What is 12346 - 1?
12345
What is 0.17 plus 28?
28.17
Work out 2274 + 23.
2297
What is the difference between 35037 and 0?
35037
Put together 3.9 and 7.5.
11.4
Add together -0.944 and -0.4.
-1.344
What is -1906.2 minus 2.26?
-1908.46
What is -30 plus 8827?
8797
Add together -974 and -0.342.
-974.342
Add together -3.063 and 0.2.
-2.863
Total of 37 and -45.
-8
What is the difference between 0 and 3080?
3080
Sum 76 and 1.63.
77.63
Calculate -0.6 + -217776.
-217776.6
Put together -10.4355 and 4.
-6.4355
What is 912.02 plus 118?
1030.02
What is 0.4 minus -0.8109?
1.2109
4 + 1994
1998
Total of -0.1 and -475.
-475.1
Subtract -10 from -1.
9
What is -1 take away 24290.8?
-24291.8
Subtract 54 from 616.9.
562.9
What is 835 plus -5?
830
-195 + -1.07
-196.07
Add 0.00166 and 0.
0.00166
-0.051 - 21946
-21946.051
Add -2.54 and 9380.
9377.46
What is -4 minus -0.02387?
-3.97613
-1.7 + 0.022
-1.678
Calculate 0.67 - -0.26.
0.93
Work out 1 + -47.824.
-46.824
What is 0.4 less than -6.1709?
-6.5709
Subtract 0.5 from -15729.
-15729.5
Subtract -0.642 from -0.17.
0.472
-0.07 + -504569
-504569.07
What is 4 less than 257.0503?
253.0503
What is -53.4 - 6?
-59.4
Calculate 1093 + 96.
1189
-1+0.32402
-0.67598
0.1+-5633
-5632.9
Total of -0.3 and 11.36.
11.06
What is 64 - -2.5?
66.5
Subtract 0.4 from -81676.
-81676.4
-1.0606 + 72
70.9394
-0.49 - 0.29481
-0.78481
What is -2121 + 4.6?
-2116.4
Subtract 0.01 from -123133.
-123133.01
Subtract 2.6 from 0.459.
-2.141
What is -502 + -12?
-514
Put together -0.11635 and -0.4.
-0.51635
0 + 2.16
2.16
10992 + 0.2
10992.2
What is the distance between 0.2 and 72.28?
72.08
What is the distance between 115 and -8.317?
123.317
Add 80489 and 1.
80490
Work out -0.275 + -2292.9.
-2293.175
What is 15392 + 18?
15410
Sum -21550 and -0.4.
-21550.4
Calculate -1731 - 7.
-1738
What is -0.047 + -14.38?
-14.427
What is the distance between 0.3 and -4043?
4043.3
Calculate -0.02 - -5102.
5101.98
Subtract 664 from 0.2.
-663.8
-0.14211 + -3
-3.14211
What is 4.598 + -84?
-79.402
What is -4302.14 take away -9?
-4293.14
What is -4.98 + 32?
27.02
Work out 187.14 + 0.48.
187.62
Work out -0.1254 - -111.
110.8746
Subtract 7483 from 0.042.
-7482.958
Work out -978 + -5.
-983
What is 9.6 take away -84?
93.6
What is the difference between -1587 and -0.5?
1586.5
What is -155 + 6.2?
-148.8
5 - 2.87778
2.12222
Calculate -412 - 3617.
-4029
What is the distance between -2.79499 and -4?
1.20501
Calculate -364 + 0.8.
-363.2
What is -265689 plus -11?
-265700
What is the difference between -0.4 and -18147?
18146.6
Add together -0.2 and 9987.
9986.8
-3+104100
104097
What is -122.11 plus 29?
-93.11
What is 0.089182 minus 7?
-6.910818
Work out -16 + -61.
-77
0.5 + 133406
133406.5
Calculate 1164.831 - 0.3.
1164.531
Add toget
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the second smallest value? (a) v (b) -2 (c) 0
c
Let k = 0.548 + -0.048. Let r = 213/4 + -423/8. What is the third smallest value in r, -4, k?
k
Let m = 1.3 + -0.6. Suppose -4*q - q - 20 = 0. Which is the smallest value? (a) m (b) 0.1 (c) q
c
Let c = 3 - -1. Suppose 0*o - 2*o = -c. Suppose -q - 3 = -o*q. What is the third biggest value in q, -4, 0.5?
-4
Let g = 0.042 - -43.958. What is the second smallest value in g, 3, -0.1?
3
Suppose 0 = -7*g + 2*g - 25. Let q = 3 + g. Let p be q/9 - 80/(-198). Which is the third smallest value? (a) p (b) 0.8 (c) 0.2
b
Let b = -0.55 - -0.55. What is the smallest value in 0.3, b, -3/5?
-3/5
Let q = -5.2 - -2.6. Let k = q - 1.4. Which is the third smallest value? (a) k (b) -1 (c) 0.4
c
Let n = 131/105 + 3/35. Which is the biggest value? (a) 0.06 (b) -2/11 (c) n
c
Let o = 14.5 + -1.5. Let c be 10/(-7) - -1 - 3/42. What is the second smallest value in -3/5, o, c?
c
Let h = 0.7 + -3.3. Let k = 0.4 - h. Let c = -3 + k. What is the third biggest value in 4, 4/7, c?
c
Let o = 0.11 - 0.21. Let p = 2.1 + o. What is the second smallest value in 10, -0.4, p?
p
Let p be ((-1)/14)/(1/6). What is the third smallest value in -0.06, p, -3?
-0.06
Let z(r) = -r**2 + r + 2. Let l = 0 - -2. Let b be z(l). What is the third smallest value in 2, 5, b?
5
Let r = -0.1 - -1.3. Let f = r - 4.7. Let h = f - -4. What is the second biggest value in -2/3, h, -0.3?
-0.3
Let g = -1548/5 - -308. Let p = g + 1. Let l = -5.01 - -0.01. Which is the third smallest value? (a) p (b) 1/3 (c) l
b
Let f = 12.87 + -13. Let r = 4.87 - f. Which is the second smallest value? (a) r (b) -4 (c) 2/9
c
Suppose 7 = 4*w - 25. Let o be w/20 - (-22)/(-5). Which is the third smallest value? (a) o (b) 0.2 (c) -1
b
Let w = 16 + -17. Which is the second smallest value? (a) 0.1 (b) w (c) 0.3
a
Let y = -22/21 + 109/84. What is the biggest value in y, 0.4, 0.2?
0.4
Let n = -0.9 + -1.1. What is the smallest value in n, 0, 3, -5/3?
n
Let s = 2.68 - 0.28. Let q = 2 - s. Let o = -21 + 21. Which is the biggest value? (a) o (b) q (c) 1
c
Let r = 20 + -19.7. Let i = -23/2 + 153/14. Which is the second biggest value? (a) r (b) 5 (c) i
a
Let w = -0.1 + 0.4. Which is the third smallest value? (a) -2 (b) 1/4 (c) w
c
Let y = -2 + 5. Let b = 6.3 + -1.3. Let g = b + -1. What is the biggest value in g, 0.2, y?
g
Let p(i) = i + 6. Let k be p(-6). Let y = -4 + k. Let u be 1/(-4) + (-9)/y. Which is the second smallest value? (a) u (b) 1 (c) -4
b
Let t be 0 + (4 - 2) - -19. Let f be 5822/t - 4/6. Let k = f - 277. Which is the second biggest value? (a) -0.4 (b) k (c) 2
a
Let j = 179/10 - 37/2. What is the second biggest value in 1/3, j, -3?
j
Let p be 359/99 - (0 - -1). Let b = p + -24/11. What is the third biggest value in -3, b, -1/9?
-3
Suppose -50 = 3*m - 4*c, c + 2 + 13 = -2*m. Let w be 9/m - 2/(-4). Let t be (2/4 - -2)*-2. What is the second smallest value in t, 5, w?
w
Let z be (0 + 4)*4/(-8). Let q be 14244/(-5523) + 0 - z. Let m = -2/263 - q. Which is the third biggest value? (a) 0 (b) 4/3 (c) m
a
Let x = -15 - -20. What is the third smallest value in x, -4, 3?
x
Let c = 0.01 + -0.41. Let h(m) = -m**2 - 8*m - 8. Let p be h(-6). Let g = -7 + p. What is the second smallest value in g, 4, c?
c
Let n = 55 + -57. What is the fourth smallest value in n, -3, 4, 2?
4
Let u be (9/6)/((-3)/4). Let q be (u/2)/(-1) + -6. Let z be -2 + 1 - -2 - -3. What is the third biggest value in 2, q, z?
q
Suppose -2*b + 220 = 2*b. Let s be 3/(b - 1)*4. What is the biggest value in 1, 5, s?
5
Let s(v) = -v + 2. Let o be s(-3). Let g be 20/45 + 4/(-6). Which is the biggest value? (a) -0.4 (b) o (c) g
b
Let n be (2/(-36))/(2/(-8)). Which is the fourth smallest value? (a) 0 (b) 0.1 (c) 0.01 (d) n
d
Let z = -158 - -176. Which is the third biggest value? (a) 1/5 (b) z (c) -0.2
c
Let w be 4/(-14) + (-92)/119. Let q = -448/391 - w. What is the smallest value in 1, -2, q?
-2
Let l be ((-2)/(-4))/((-1)/(-2)). Which is the smallest value? (a) -0.3 (b) -19 (c) l (d) -2
b
Let f = -8 + 3. Let y = 4.93 - -0.07. Let p = y + -4. Which is the biggest value? (a) 0 (b) p (c) f
b
Let a = -3.4 - -3. Let i(b) = b. Let s be i(-3). Let g = 2 + s. What is the biggest value in -4, g, a?
a
Suppose -2*f - 3 = 1. Let v be f/8*(-16)/(-10). Let n = 16 - 12. What is the smallest value in n, v, -5?
-5
Let j = 1.7 + -2.1. What is the second biggest value in j, 4/7, -4?
j
Let j = 40 - 44. Which is the second biggest value? (a) -4/7 (b) -3 (c) j
b
Let u be -1 + 3/(6/(-8)). Let b = 0.03 + -2.03. Let r = 1.8 + b. What is the smallest value in u, r, -0.3?
u
Let i be (-2)/5 - 13/(-20). Let h be (1 - (0 + -1))/(28/42). Which is the second smallest value? (a) i (b) h (c) 2/3
c
Let g = 20 + -14. Let b = 4 - g. Let v = 0.06 + -0.16. What is the second biggest value in v, 4, b?
v
Let v be (44/(-40))/(3/258). Let s = 95 + v. Which is the third smallest value? (a) -2 (b) 5 (c) s
b
Let w = -200 + 237. What is the third smallest value in -1, -1/4, w?
w
Let w = 298 - -162. Let y = w - 2332/5. Let n = -7 - y. Which is the second biggest value? (a) -3 (b) 2 (c) n
c
Let x = 442 + -4859/11. Let u = 2 + -1.9. What is the second biggest value in u, x, 0?
u
Let s = -30 + 28.9. Which is the smallest value? (a) -2 (b) -2/19 (c) s
a
Let k(j) = -j**2 - 5*j. Let u be k(-4). Which is the biggest value? (a) 7 (b) -0.2 (c) u
a
Let m be ((-1)/2 - -2)/(-3). Let s = 372 - 373. Which is the third biggest value? (a) s (b) m (c) -1/8
a
Let j = -0.1 - 0.4. Let r = 69.7 - 74. Let t = 0.3 + r. What is the biggest value in j, -4/5, t?
j
Let w = 0.3 + -0.1. Let q = 0 - w. Which is the third biggest value? (a) 2 (b) -4 (c) q
b
Let y = 0.2 - 0.2. Let v = y + 0. Let z = 0.133 + -1.133. Which is the second smallest value? (a) v (b) z (c) 1
a
Let r = 6 - 11. Which is the smallest value? (a) 1/10 (b) -2 (c) r
c
Let t(v) = v**3 + 7*v**2 + 5*v + 5. Let n be t(-6). Let u = -11 + n. Which is the biggest value? (a) -6 (b) 2/19 (c) u
b
Let p = 0.3 + -0.6. Let t = p - -0.5. Let a = -0.1 + t. What is the smallest value in -0.4, a, -2?
-2
Suppose -2*l = 2*j - 6*l, 3*j - 3*l = -12. Let f(i) = 2*i + 4. Let v be f(-4). Which is the third biggest value? (a) j (b) 2/3 (c) v
a
Let j = 4 + -4.2. Let y be (-12)/(-22)*2/6. What is the biggest value in j, 1/3, y?
1/3
Let q = 2.38 + -2.4. Which is the third biggest value? (a) -0.1 (b) q (c) -0.4
c
Let q be (-6)/(-9) + 14/6. Which is the second smallest value? (a) q (b) -5 (c) 5
a
Let z = 544/7 + -78. What is the second smallest value in 5, z, 0.4?
0.4
Let t = 29 - 28. Which is the second biggest value? (a) t (b) -2 (c) -2/3
c
Let f = 3 - 7. Let i(c) = 4*c**3 + 2*c**2 + c - 2. Let k be i(1). What is the second biggest value in k, f, -0.1?
-0.1
Let n = 7/15 + 2/15. Let c = -0.07 - -5.07. What is the second smallest value in n, -5/2, c?
n
Let o be ((-13)/(-26))/((-5)/(-6)). What is the third smallest value in o, -4, -0.4, -2/9?
-2/9
Let j be 39/12 + (-1)/4. Suppose 4*k + 10 = -j*z, -3*k = -z - 6*k - 10. Let l = -0.7 + 0.2. What is the second biggest value in -3, l, z?
l
Let k = -10.05 - -10. Let h = k + -0.05. What is the second smallest value in -5, h, -3/5?
-3/5
Let o be (-6)/4*(-8)/42. Let r = -29 + 32. Which is the second biggest value? (a) r (b) 2 (c) o
b
Let o be (9 - -3)*(-6)/(-24). What is the smallest value in o, 4, 0?
0
Let g = -5.7 - -6.6. What is the third smallest value in -1, g, 0?
g
Let z = -9 + 11. Suppose 6 = -3*v - 2*s - 0*s, z*v - 9 = 3*s. Let r(w) = -w - 1. Let g be r(4). Which is the second smallest value? (a) 2 (b) v (c) g
b
Let q = -0.03 + -0.97. What is the third biggest value in 2, q, 4?
q
Let p be 9/9 - 96/(-2). Let g be 30/(-14) + 7/p. Which is the second biggest value? (a) g (b) -4 (c) 1
a
Let k be ((-13)/6 - -2)/((-4)/60). Which is the second smallest value? (a) k (b) -5 (c) 5
a
Let u = 1.2 + 1.8. Let v = -0.1 + 0.3. What is the second biggest value in u, -1/8, v?
v
Let p = -76/165 + 2/33. Let n = 0 - 0.2. Which is the second smallest value? (a) n (b) -1 (c) p
c
Let s = -34.67 - -35. What is the smallest value in -0.2, s, -2?
-2
Let l be (-11)/(-3) + (-6)/9. Let t be (11 + -1)*l/6. Let r = -0.3 - -0.4
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 334.
329
Calculate the remainder when 133084 is divided by 541.
539
What is the remainder when 9018 is divided by 4508?
2
Calculate the remainder when 6927 is divided by 91.
11
Calculate the remainder when 74233 is divided by 232.
225
Calculate the remainder when 48819 is divided by 24346.
127
What is the remainder when 17569 is divided by 735?
664
Calculate the remainder when 7882 is divided by 340.
62
What is the remainder when 8830 is divided by 295?
275
Calculate the remainder when 44829 is divided by 175.
29
Calculate the remainder when 147148 is divided by 45.
43
Calculate the remainder when 7484 is divided by 32.
28
Calculate the remainder when 1441 is divided by 230.
61
What is the remainder when 82962 is divided by 198?
0
What is the remainder when 2892 is divided by 718?
20
What is the remainder when 9342 is divided by 183?
9
What is the remainder when 419610 is divided by 183?
174
What is the remainder when 45291 is divided by 394?
375
Calculate the remainder when 129644 is divided by 43211.
11
Calculate the remainder when 33775 is divided by 4.
3
Calculate the remainder when 3015 is divided by 2952.
63
What is the remainder when 6593712 is divided by 15?
12
Calculate the remainder when 9331 is divided by 25.
6
Calculate the remainder when 3118805 is divided by 154.
151
Calculate the remainder when 488 is divided by 75.
38
Calculate the remainder when 33686 is divided by 802.
2
Calculate the remainder when 113938 is divided by 23.
19
Calculate the remainder when 3250690 is divided by 108.
106
What is the remainder when 661330 is divided by 3?
1
What is the remainder when 1171 is divided by 276?
67
Calculate the remainder when 50367 is divided by 1326.
1305
What is the remainder when 4803 is divided by 685?
8
Calculate the remainder when 4915 is divided by 665.
260
What is the remainder when 3153454 is divided by 144?
142
What is the remainder when 459161 is divided by 713?
702
What is the remainder when 6852 is divided by 129?
15
What is the remainder when 14533 is divided by 7220?
93
What is the remainder when 17110 is divided by 8496?
118
Calculate the remainder when 6206 is divided by 442.
18
Calculate the remainder when 6472 is divided by 6456.
16
What is the remainder when 538 is divided by 194?
150
Calculate the remainder when 606772 is divided by 202254.
10
What is the remainder when 8098 is divided by 404?
18
Calculate the remainder when 2217 is divided by 81.
30
Calculate the remainder when 218675 is divided by 46.
37
Calculate the remainder when 145637 is divided by 88.
85
Calculate the remainder when 1392 is divided by 243.
177
Calculate the remainder when 12231 is divided by 322.
317
What is the remainder when 3895 is divided by 14?
3
Calculate the remainder when 24058 is divided by 12.
10
What is the remainder when 157383 is divided by 44?
39
Calculate the remainder when 517559 is divided by 1031.
1028
Calculate the remainder when 1004 is divided by 10.
4
Calculate the remainder when 19991 is divided by 81.
65
What is the remainder when 4264 is divided by 142?
4
Calculate the remainder when 9245 is divided by 2311.
1
What is the remainder when 2575 is divided by 435?
400
What is the remainder when 12580 is divided by 54?
52
Calculate the remainder when 54958 is divided by 7850.
8
What is the remainder when 213698 is divided by 74?
60
What is the remainder when 65446 is divided by 4361?
31
What is the remainder when 769 is divided by 578?
191
Calculate the remainder when 2175 is divided by 2.
1
What is the remainder when 245548 is divided by 61385?
8
Calculate the remainder when 66753 is divided by 681.
15
Calculate the remainder when 9028 is divided by 32.
4
Calculate the remainder when 43575 is divided by 21782.
11
Calculate the remainder when 6693 is divided by 2187.
132
Calculate the remainder when 449052 is divided by 56.
44
What is the remainder when 21850 is divided by 12?
10
What is the remainder when 1429 is divided by 349?
33
Calculate the remainder when 17688 is divided by 44.
0
What is the remainder when 65 is divided by 34?
31
Calculate the remainder when 20110 is divided by 2500.
110
Calculate the remainder when 35101 is divided by 8768.
29
Calculate the remainder when 2814 is divided by 82.
26
Calculate the remainder when 2683305 is divided by 913.
911
What is the remainder when 1869327 is divided by 11?
9
What is the remainder when 3452 is divided by 51?
35
Calculate the remainder when 12265 is divided by 1773.
1627
Calculate the remainder when 65630 is divided by 40.
30
Calculate the remainder when 3532 is divided by 1753.
26
What is the remainder when 29718 is divided by 39?
0
What is the remainder when 83119 is divided by 25?
19
What is the remainder when 2949 is divided by 54?
33
Calculate the remainder when 9942 is divided by 281.
107
What is the remainder when 284153 is divided by 185?
178
Calculate the remainder when 98620 is divided by 19721.
15
Calculate the remainder when 17109 is divided by 59.
58
What is the remainder when 34597 is divided by 1578?
1459
What is the remainder when 588 is divided by 569?
19
What is the remainder when 4964 is divided by 70?
64
Calculate the remainder when 4359 is divided by 449.
318
Calculate the remainder when 1942 is divided by 13.
5
Calculate the remainder when 31072 is divided by 222.
214
Calculate the remainder when 4617 is divided by 135.
27
Calculate the remainder when 1197 is divided by 968.
229
What is the remainder when 1264818 is divided by 421594?
36
What is the remainder when 44031 is divided by 319?
9
What is the remainder when 1759033 is divided by 103?
102
What is the remainder when 5124 is divided by 129?
93
What is the remainder when 323406 is divided by 116?
114
Calculate the remainder when 5250 is divided by 103.
100
What is the remainder when 51640 is divided by 25814?
12
What is the remainder when 400 is divided by 392?
8
What is the remainder when 11244 is divided by 233?
60
What is the remainder when 7077 is divided by 511?
434
Calculate the remainder when 338428 is divided by 870.
868
Calculate the remainder when 8144 is divided by 905.
904
What is the remainder when 7706 is divided by 188?
186
Calculate the remainder when 1047 is divided by 23.
12
What is the remainder when 596 is divided by 183?
47
What is the remainder when 781093 is divided by 1211?
1209
Calculate the remainder when 43763 is divided by 455.
83
Calculate the remainder when 4053 is divided by 493.
109
What is the remainder when 297 is divided by 67?
29
Calculate the remainder when 467125 is divided by 58.
51
Calculate the remainder when 13906 is divided by 65.
61
Calculate the remainder when 2713 is divided by 246.
7
What is the remainder when 29511 is divided by 11?
9
Calculate the remainder when 18902 is divided by 403.
364
What is the remainder when 10893 is divided by 47?
36
Calculate the remainder when 33250 is divided by 24.
10
What is the remainder when 2956 is divided by 735?
16
What is the remainder when 67909 is divided by 5223?
10
What is the remainder when 6566 is divided by 69?
11
Calculate the remainder when 453 is divided by 360.
93
What is the remainder when 156 is divided by 156?
0
Calculate the remainder when 150449 is divided by 50.
49
What is the remainder when 292097 is divided by 390?
377
Calculate the remainder when 97271 is divided by 16206.
35
Calculate the remainder when 291 is divided by 43.
33
What is the remainder when 23100 is divided by 1153?
40
Calculate the remainder when 410750 is divided by 39.
2
Calculate the remainder when 57580 is divided by 190.
10
What is the remainder when 1071711 is divided by 277?
275
Calculate the remainder when 211426 is divided by 98.
40
Calculate the remainder when 5038 is divided by 48.
46
What is the remainder when 33361 is divided by 21?
13
Calculate the remainder when 4917 is divided by 288.
21
What is the remainder when 3667 is divided by 389?
166
Calculate the remainder when 47379 is divided by 92.
91
Calculate the remainder when 345334 is divided by 6.
4
What is the remainder when 237950 is divided by 79311?
17
Calculate the remainder when 18660 is divided by 162.
30
Calculate the remainder when 746 is divided by 111.
80
What is the remainder when 1513 is divided by 24?
1
Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -8?
12881
In base 5, what is -341123 - -3?
-341120
In base 7, what is -12 - -24624?
24612
In base 16, what is -5f02 + -5?
-5f07
In base 7, what is 351140 - -31?
351201
In base 5, what is -1 + 120131?
120130
In base 15, what is 984 + -140?
844
In base 4, what is 10 + -103030022?
-103030012
In base 7, what is 2531 - 106?
2422
In base 3, what is -200101 + -220012?
-1120120
In base 5, what is 10110 + 424?
11034
In base 8, what is 16 - 1303?
-1265
In base 14, what is 38 + 4047?
4081
In base 10, what is -17 - 6909?
-6926
In base 16, what is 1 + -307f?
-307e
In base 5, what is -223210 + 2?
-223203
In base 5, what is 1033441 + 111?
1034102
In base 10, what is -3785 + 18?
-3767
In base 15, what is 5c - 14745?
-146d8
In base 7, what is -2 - 1103423?
-1103425
In base 16, what is -5b1 - -1bc?
-3f5
In base 5, what is -23302 - -332?
-22420
In base 7, what is -424 + -111?
-535
In base 6, what is -20334 + 3032?
-13302
In base 7, what is -626 + 265?
-331
In base 4, what is 21222 - -1?
21223
In base 16, what is -c6784 + 3?
-c6781
In base 7, what is 6 - -161601?
161610
In base 13, what is 59 - -a?
66
In base 4, what is 322101 - -121?
322222
In base 12, what is 236 - 3a9?
-173
In base 5, what is -10221200 + 10?
-10221140
In base 6, what is -10 + 11144345?
11144335
In base 10, what is 470 - -1970?
2440
In base 12, what is 10b1a92 - 3?
10b1a8b
In base 13, what is -469 - 12?
-47b
In base 14, what is -3d - 360d?
-364c
In base 12, what is -320b2 + 1?
-320b1
In base 15, what is 3 - 218a3?
-218a0
In base 4, what is -100 - -2210113?
2210013
In base 11, what is -59525a - 4?
-595263
In base 7, what is -1166 + -2?
-1201
In base 16, what is 571f - -3?
5722
In base 7, what is 16404 - -15?
16422
In base 12, what is 112 + 27?
139
In base 7, what is -102 - -3144?
3042
In base 7, what is 6143 + -2225?
3615
In base 9, what is -1 + 453140?
453138
In base 7, what is -13456 + -54?
-13543
In base 8, what is -1725751 + -6?
-1725757
In base 11, what is 803 + 642?
1345
In base 9, what is 18 + -3507?
-3478
In base 4, what is -202301 - -122?
-202113
In base 12, what is -7b8 + -b?
-807
In base 11, what is 3a - -20a65?
20aa4
In base 6, what is 45 - 41232?
-41143
In base 16, what is -13 + 2a4?
291
In base 6, what is -5201145 - 2?
-5201151
In base 13, what is 19 + -21b17?
-21acb
In base 15, what is -62ca - 38?
-6313
In base 5, what is 2211333 - -2?
2211340
In base 14, what is -aa612 + -1?
-aa613
In base 5, what is -10 + 3341312?
3341302
In base 13, what is -5 + 159219?
159214
In base 16, what is -ab6 - 1?
-ab7
In base 2, what is -1000000100 + -1110110?
-1001111010
In base 10, what is 1064 + -161?
903
In base 3, what is 111 + 112021211?
112022022
In base 6, what is -334 + 2440?
2102
In base 10, what is -65 + -62929?
-62994
In base 12, what is -a85 + b?
-a76
In base 6, what is 3413 + 12442?
20255
In base 8, what is -5 + -35172?
-35177
In base 5, what is -131431 + 143?
-131233
In base 3, what is -21222212 - -120?
-21222022
In base 7, what is -145 - -136?
-6
In base 14, what is -1da - -24b?
51
In base 8, what is 2441352 - 1?
2441351
In base 7, what is 4460212 + 3?
4460215
In base 14, what is -db + 17?
-c4
In base 7, what is 12 - -12015?
12030
In base 4, what is 10110 + 210220?
220330
In base 4, what is -21123 + -1031202?
-1112331
In base 4, what is -230033333 + 32?
-230033301
In base 3, what is -10 + -12100?
-12110
In base 11, what is -15 + 1742?
1728
In base 8, what is -1 + -247462?
-247463
In base 8, what is 1670175 + 2?
1670177
In base 9, what is 23 + 77233?
77256
In base 6, what is -2311 + -12321?
-15032
In base 10, what is 4 - -18948?
18952
In base 16, what is 4a + 4d?
97
In base 11, what is 4 - -2a43?
2a47
In base 4, what is -1330 + -1332123?
-2000113
In base 11, what is 117 - -404?
520
In base 14, what is 27 + -3255?
-322c
In base 11, what is 85 + 3586?
3660
In base 9, what is -26 + -787?
-824
In base 5, what is -2232 - -4?
-2223
In base 7, what is 463222 + -13?
463206
In base 4, what is -10131123 - -3?
-10131120
In base 13, what is 35a - 52a?
-1a0
In base 4, what is -1132222022 + 2?
-1132222020
In base 12, what is 26a0 + -5?
2697
In base 13, what is -87a5 + -1?
-87a6
In base 8, what is 1437 + -1?
1436
In base 6, what is -25154 - -145?
-25005
In base 5, what is 302 + -201?
101
In base 3, what is -2210220 - -20?
-2210200
In base 2, what is -1000010010000000010 + -101?
-1000010010000000111
In base 9, what is 7 - -1116048?
1116056
In base 10, what is -4 + -665405?
-665409
In base 9, what is -111388 - 17?
-111416
In base 12, what is -35a + -2a?
-388
In base 14, what is 6bc6 + 1?
6bc7
In base 4, what is 12323122210 + 11?
12323122221
In base 3, what is -12 + 1212221200?
1212221111
In base 13, what is 169 + 36?
1a2
In base 15, what is -a6e99 + 4?
-a6e95
In base 3, what is -1010 - -21210100?
21202020
In base 11, what is -2 - 3911?
-3913
In base 3, what is 1112021210 - 10010?
1112011200
In base 3, what is 110 + 212202120?
212210000
In base 5, what is -133343413 - -20?
-133343343
In base 13, what is 0 - -1a74?
1a74
In base 13, what is 307 - 5a9?
-2a2
In base 11, what is 170 - -a35?
10a5
In base 4, what is 10 + 120200123?
120200133
In base 14, what is -3d + -cb?
-12a
In base 12, what is -2a0 - 28?
-308
In base 7, what is -3 - -1366101?
1366065
In base 8, what is 15050 + 24?
15074
In base 16, what is 36 + -31d?
-2e7
In base 4, what is 1010020 + 10?
1010030
In base 5, what is 11414 - -4433?
21402
In base 6, what is -4 + 33443323?
33443315
In base 14, what is 8491c + -4?
84918
In base 10, what is 1150 + 4923?
6073
In base 5, what is -100032232 - -3?
-100032224
In base 8, what is 5 - 44117?
-44112
In base 3, what is -20121021 + -12?
-20121110
In base 4, what is 20131303 + -1?
20131302
In base 13, what is -c - -4008?
3cc9
In base 13, what is 3cc7b + -b?
3cc70
In base 10, what is 49274 + -4?
49270
In base 14, what is c3 - -b?
d0
In base 5, what is 1334241 + -234?
1334002
In base 13, what is -2 - 3a32?
-3a34
In base 15, what is 13 - -90c6?
90d9
In base 11, what is -225 + 177?
-59
In base 15, what is -10 - -a65?
a55
In base 4, what is -1 - 33202122?
-33202123
In base 10, what is -4 - 30215?
-30219
In base 3, what is -2 + 1100020221?
1100020212
In base 15, what is -26 - -6cdc?
6cb6
In base 7, what is -23 + -6131?
-6154
In base 8, what is 101212 - -3?
101215
In base 4, what is -10 - -3001122?
3001112
In base 5, what is 240132 - -4?
240141
In base 10, what is -56665 - 3?
-56668
In base 2, what is 10000000011 - 1100100?
1110011111
In base 2, what is 10110111100000000 - 100?
10110111011111100
In base 9, what is 30402 - 10?
30382
In base 10, what is -324 - 22?
-346
In base 3, what is -1 + 111200201?
111200200
In base 2, what is 111001 - -1001001101111?
1001010101000
In base 10, what is -144716 + 5?
-144711
In base 16, what is -5 + -b867a?
-b867f
In base 10, what is -9 - 10338?
-10347
In base 14, what is -151c5 + 7?
-151bc
In base 14, what is 4 + -2a14?
-2a10
In base 11, what is 66 - -776?
831
In base 10, what is -447 - 523?
-970
In base 13, what is -4b5 + -30?
-515
In base 7, what is 2443366 - -1?
2443400
In base 4, what is -1 + 121210110?
121210103
In base 4, what is 11331001 - 2?
11330333
In base 12, what is 535 + 3?
538
In base 10, what is -4 - -10653?
10649
In base 14, what is 10c + 177?
285
In base 4, what is 11030220 + 23?
11030303
In base 7, what is 216555 + 45?
216633
In base 5, what is 1102 - 2003?
-401
In base 9, what is -158 - -17388?
17230
In base 8, what is -134 + -3325?
-3461
In base 14, what is 959d4 - 4?
959d0
In base 15, what is 7b - 3c?
3e
In base 2, what is 10001100101111 - -110?
10001100110101
In base 13, what is 781 + -533?
24b
In base 6, what is -3 + -230410?
-230413
In base 8, what is -445626 + -6?
-445634
In base 16, what is 8 + 90a3d?
90a45
In base 15, what is -1 + 1742?
1741
In base 7, what is -625 - 5024?
-5652
In base 13, what is -36534 - 13?
-36547
In base 5, what is 21334 - -33?
21422
In base 2, what is 11 + -11111111110100110?
-11111111110100011
In base 6, what is 32 + 3153?
3225
In base 4, what is 313302 - -30?
313332
In base 16, what is 66448 - 4?
66444
In base 14, what is -381b8 - 3?
-381bb
In base 9, what is 142322 + -7?
142314
In base 10, what is 15551 - 67?
15484
In base 4, what is -1 + 10333300?
10333233
In base 12, what is -3 - -771?
76a
In base 11, what is -21a15 + 9?
|
{
"pile_set_name": "DM Mathematics"
}
|
uming b is positive.
b**(243/145)
Simplify y*(y**0/y)/y*(y/y**5*y)/y*(y**(-5)/y)/((y*y**(-8))/y) assuming y is positive.
y**(-3)
Simplify (r/((r/r**(-6))/r))**(7/3) assuming r is positive.
r**(-35/3)
Simplify (q**(-2/11))**(9/2) assuming q is positive.
q**(-9/11)
Simplify s*s**(5/2)*s**7/s assuming s is positive.
s**(19/2)
Simplify (u**14)**(-1/13) assuming u is positive.
u**(-14/13)
Simplify (x/((x*x**(-2/3))/x))**(-2/127)*x**(-2/5)/(x**(-3/7)/x) assuming x is positive.
x**(13366/13335)
Simplify ((u*u/(u/u**(5/9)))/u*u)/u*u*u**(2/5)*u assuming u is positive.
u**(133/45)
Simplify (u*(u**(-5)/u)/u*(u**0*u)/u)/(((u**1*u)/u)/(u/u**(-4/9))) assuming u is positive.
u**(-50/9)
Simplify h*h/h**6*h**6*h**0/(h**(-6)*h) assuming h is positive.
h**7
Simplify m**(-3/2)*m/(m/m**(1/7))*m/m**(3/8)*m/(m/(m**4/m)) assuming m is positive.
m**(127/56)
Simplify (n/(n**10/n)*n**(-1/4)*n)**35 assuming n is positive.
n**(-1015/4)
Simplify (x**2/x*(x/x**(-11))/x)**(6/25) assuming x is positive.
x**(72/25)
Simplify (d*(d/(d*d/(d**(3/7)/d)*d*d))/d)/(d*d**4*d)*d/(d/(d*d**(1/10))*d)*d/d**(-2/3) assuming d is positive.
d**(-1639/210)
Simplify (i**5*i)**42 assuming i is positive.
i**252
Simplify (y*y**(-18))/((y/(y/((y*y/(y*y**(-7)))/y)*y))/y) assuming y is positive.
y**(-22)
Simplify ((i**(1/5)*i)/i)/(i/i**0)*((i*(i*i/i**2*i*i)/i)/i)/i**(-2/17) assuming i is positive.
i**(27/85)
Simplify ((s**(2/19)/s)/(s/(s**(-6)*s)))**(-7) assuming s is positive.
s**(917/19)
Simplify (n*n/((n*n**0)/n))/n**(1/9)*n**(-3/4)/n**3 assuming n is positive.
n**(-67/36)
Simplify ((w*w/((w/(w/w**(-10)))/w)*w)/(((w**(3/5)/w)/w)/w))**(-8) assuming w is positive.
w**(-656/5)
Simplify u*u*u**5*(u*u**(-6/11)*u*u)/u*(u**1)**(-41) assuming u is positive.
u**(-358/11)
Simplify v**(-2/9)*(v/(v/v**12))/v assuming v is positive.
v**(97/9)
Simplify q/q**(-2/27)*q**28 assuming q is positive.
q**(785/27)
Simplify (o/(o/(o/(o/(o/(o**(1/3)/o)))))*o/(o*o*o**(-5/2)))**(1/4) assuming o is positive.
o**(19/24)
Simplify ((b/(b*b**(1/2)))**(3/19))**(8/11) assuming b is positive.
b**(-12/209)
Simplify (p/(p/(p/(p/(p/(p/p**4)*p)))))**(-3/13) assuming p is positive.
p**(-15/13)
Simplify b*b*b/b**(-3)*b**4*((b*b/((b/b**(-2/3)*b)/b)*b)/b)**(1/72) assuming b is positive.
b**(2161/216)
Simplify k**(-2/3)/(k*k*k/k**(40/9)) assuming k is positive.
k**(7/9)
Simplify ((c/c**(-1)*c)**(1/3))**(-8) assuming c is positive.
c**(-8)
Simplify (p/(p*p*p**(-14)*p))/p**8 assuming p is positive.
p**4
Simplify (s/(s/(s*s**(-1))))**26/(s*s*s/(s**(2/3)/s))**(-1/8) assuming s is positive.
s**(5/12)
Simplify t**15*t**9 assuming t is positive.
t**24
Simplify s*(s**(-34)*s)/s*s**(2/69)*s assuming s is positive.
s**(-2206/69)
Simplify t**(3/2)/t*t*t**(3/8) assuming t is positive.
t**(15/8)
Simplify (z*z**2*z)**(1/2)*z/((z*z**(2/15))/z*z)*z*z**(-7)*z assuming z is positive.
z**(-47/15)
Simplify (p/p**(-1)*p**0*p)**(1/31) assuming p is positive.
p**(3/31)
Simplify (c*(c/(c**(-5)*c))/c*c*(c*c*c*c**1*c)/c)/(c**(-1/4))**(-18) assuming c is positive.
c**(11/2)
Simplify o**11/o*o*o**(-6/5)*o**(1/7)/o**(-7/6) assuming o is positive.
o**(2333/210)
Simplify ((r*r*r**(-1)*r)**(14/11))**(-23/3) assuming r is positive.
r**(-644/33)
Simplify (p/((p/p**(1/25))/p))**(-16/11) assuming p is positive.
p**(-416/275)
Simplify ((n*n*n/n**(-2/19))**(-19))**(-3/8) assuming n is positive.
n**(177/8)
Simplify l*l**(-1/3)/l*(l**(-3)/l*l*l)/l*(l*l/l**(2/13)*l*l)/l*l**4 assuming l is positive.
l**(137/39)
Simplify (s*s*s*s**(-4))/s**(-14) assuming s is positive.
s**13
Simplify (b**(4/5)*b**(-5))/((b/b**(-1))/b**5) assuming b is positive.
b**(-6/5)
Simplify (n**(-1/6)*n*n*(n**(1/6)/n)/n*n)/(n*n**(-2/7)*n/(n*n**(-1/2))*n) assuming n is positive.
n**(-17/14)
Simplify (z*z**(3/13))/(z*z**(5/2)) assuming z is positive.
z**(-59/26)
Simplify ((m*m**(-4))/m**(-2/3))**(9/10) assuming m is positive.
m**(-21/10)
Simplify t/(t/(((t*(t*t**(3/11))/t)/t*t)/t))*t/(t*t/t**(-35)) assuming t is positive.
t**(-393/11)
Simplify (((j/j**9)/j)/j**(1/3))/(j**(-8/3)*j**(7/2)/j*j*j) assuming j is positive.
j**(-67/6)
Simplify (k/((k*k*k*k/(k**(-7)/k))/k))/(((k/((((k*k*k*k**2*k)/k)/k)/k))/k)/k)*k**(-4)*k*k*k**(-5/4) assuming k is positive.
k**(-37/4)
Simplify (l**(-2/9))**(-9/2)*(l/(((l**8*l)/l*l)/l))/(l**8/l*l) assuming l is positive.
l**(-14)
Simplify (y**38*y)/y*y/y**(-3/4) assuming y is positive.
y**(159/4)
Simplify ((w*w**(8/5))/w*w**(-13))**(-13) assuming w is positive.
w**(741/5)
Simplify (o**(-4)*o*o*o*o**(1/19))/(o*o*o**(-2/13)*o*o*o)**(2/11) assuming o is positive.
o**(-4968/2717)
Simplify w*w/(w*w*w*w**3*w)*w*w*w**(-29)*w*w assuming w is positive.
w**(-30)
Simplify (s**(-12))**6 assuming s is positive.
s**(-72)
Simplify (m**(-4)*m/m**6)/(m**0*m/((m/(m*((m*m*(m/(m**(2/7)*m))/m*m*m*m)/m)/m*m))/m*m)) assuming m is positive.
m**(-89/7)
Simplify r**15*(r/(r**(-8)*r))/r assuming r is positive.
r**22
Simplify ((i*i/(i*i**(-2)))**49)**(6/23) assuming i is positive.
i**(882/23)
Simplify (p**3*p*p**(-1/4))**24 assuming p is positive.
p**90
Simplify (j**19)**32 assuming j is positive.
j**608
Simplify (h**0)**(1/5) assuming h is positive.
1
Simplify (s**(-1/10)/(s*s/(s*s**(-8))))/((s*s**(-1/4))/s)**(3/13) assuming s is positive.
s**(-2351/260)
Simplify (h**(5/2)*h*h**(-1/5))**(-21) assuming h is positive.
h**(-693/10)
Simplify (j*j/((j/(j/j**(-2)))/j)*j/(j*j**(1/3)))/(j**(-2/11)*j*j**1) assuming j is positive.
j**(94/33)
Simplify (o**(-2/17))**(-38) assuming o is positive.
o**(76/17)
Simplify (w**(-1/4)*w**(-2/31)/w)**(-4/21) assuming w is positive.
w**(163/651)
Simplify ((c**10*c)**(-33))**(-2/19) assuming c is positive.
c**(726/19)
Simplify (c**(-2)/c)**2 assuming c is positive.
c**(-6)
Simplify (a**(-7/5)*a*a**2*a)/(a**(-7)*a*a*a/(a/((a**(1/7)*a)/a))*a) assuming a is positive.
a**(226/35)
Simplify (j**(-2))**(-2/31)/(j**9/(j*j**(-1/2))) assuming j is positive.
j**(-519/62)
Simplify (t/t**(22/7))/(t*t*t/(t/(((t**1/t)/t)/t))) assuming t is positive.
t**(-15/7)
Simplify (c/(c**1/c)*c)/c**(-2) assuming c is positive.
c**4
Simplify (k**(-9)/k**3)/(k**(2/11))**(-50) assuming k is positive.
k**(-32/11)
Simplify w*w**(-5)*w**4/w*w*(w**(-1))**18 assuming w is positive.
w**(-18)
Simplify (n*n*n**(-2/13)/n*n*n**3)/((n/((n*(n/(n*n**(1/4)*n*n))/n*n)/n))/(n/(n*n**3*n))) assuming n is positive.
n**(-125/52)
Simplify (l*l**(-4))**38 assuming l is positive.
l**(-114)
Simplify ((v*v**(-9))/v*v/(v/(v*v*v**9)))/((v**(2/3)/v)/(v/(v*v/(v*v**(1/8)*v))*v)) assuming v is positive.
v**(107/24)
Simplify ((t*t*t**(-1/4))**1)**29 assuming t is positive.
t**(203/4)
Simplify (i/(i*i**(3/5)/i)*i/i**(-3/2))/((i/i**(3/5))/(i*i**6/i)) assuming i is positive.
i**(17/2)
Simplify t**(-1/6)*t*t*t**2*(t**0)**(-1/78) assuming t is positive.
t**(23/6)
Simplify ((u*(u/(u/u**(2/5)))/u)/u)**50/(u**2)**2 assuming u is positive.
u**(-34)
Simplify (p**(-7)/p**11)**(-8/9) assuming p is positive.
p**16
Simplify (w*(w/w**(-45))/w*w*w)**(1/19) assuming w is positive.
w**(48/19)
Simplify (s*s*s**(3/2)/s)/(s*(s*s/(s/(s*(s/(s/(s**33*s)))/s)))/s) assuming s is positive.
s**(-65/2)
Simplify (d**3)**(-1/4) assuming d is positive.
d**(-3/4)
Simplify (((o**(-1)/o)/o)**13)**31 assuming o is positive.
o**(-1209)
Simplify ((g/(g/(g*g/g**2*g)))**(22/5))**(-3/10) assuming g is positive.
g**(-33/25)
Simplify (k/(k*k**(-1)*k*k))**(-50)/(k*(k*k*k/k**(2/3)*k*k)/k*k*k**(-6/5)*k) assuming k is positive.
k**(673/15)
Simplify (t/(((t**(1/14)*t)/t)/t)*t)**(1/14) assuming t is positive.
t**(41/196)
Simplify (((h/(h*h**(-3)*h))/h*h)/(h/h**7))/(h*(h**(-1)*h)/h)**(3/47) assuming h is positive.
h**8
Simplify (j/(j**3/j))**45 assuming j is positive.
j**(-45)
Simplify ((n/n**(-4))/n*n**4)/(n*n**2*n**(3/5)) assuming n is positive.
n**(22/5)
Simplify (t/t**2*t*t**(-7))**16 assuming t is positive.
t**(-112)
Simplify (x*x*((x/(x*(x*x/(x**23*x)*x)/x*x))/x)/x)/(x*x*x/(x*x/(x/((x*x/(x/((x/(x/(x*(x*x*x/x**(-5/8))/x*x)*x))/x)))/x)))) assuming x is positive.
x**(173/8)
Simplify (g**(3/4)/(g*g/g**(4/7)))/(g**6/(g/(g*g**(-10/9)/g*g))) assuming g is positive.
g**(-1403/252)
Simplify j**(-2/5)/j*j**(-10) assuming j is positive.
j**(-57/5)
Simplify (h**6)**(-1/5) assuming h is positive.
h**(-6/5)
Simplify (r**2/r)/(r**(2/15)*r)*r*r*r**5*r*r**(3/2) assuming r is positive.
r**(281/30)
Simpli
|
{
"pile_set_name": "DM Mathematics"
}
|
a) 2 (b) 8 (c) 5
c
Which is the second biggest value? (a) 0.09 (b) 5 (c) 0 (d) -2/5
a
What is the third smallest value in 2/17, 1/4, 2, 0.5, -0.4?
1/4
What is the smallest value in -0.4, 2/5, -390?
-390
What is the biggest value in 3, -0.5, 0.94?
3
Which is the third biggest value? (a) -0.8 (b) 4 (c) 35 (d) -3/4
d
What is the second smallest value in -25, -5, -3?
-5
Which is the smallest value? (a) 0.5 (b) 5/6 (c) 0.143
c
What is the fifth smallest value in 5, -1, 1/2, 3/2, -17?
5
What is the smallest value in -3, 31, -2/13?
-3
What is the second smallest value in -2/5, -2/7, 5/6, 0.064, 0.1?
-2/7
Which is the second biggest value? (a) 0.5 (b) -2.9 (c) 62
a
What is the fifth smallest value in -11/10, -1/4, 2, 0, -12?
2
Which is the second smallest value? (a) -8 (b) 82 (c) 1/5
c
Which is the second smallest value? (a) 3 (b) -229 (c) 0.4 (d) 2
c
Which is the third smallest value? (a) 11/4 (b) -4 (c) -5
a
Which is the third biggest value? (a) -25 (b) -0.4 (c) 2/11 (d) -0.16
b
What is the third smallest value in 24/7, 1, -1/9, -1/3, 289?
1
What is the fourth biggest value in -1, 0.4, -61, -1/7?
-61
What is the second smallest value in 2/7, -9, -0.4, 1/5?
-0.4
Which is the fourth biggest value? (a) 4 (b) 5 (c) -147 (d) -1
c
Which is the smallest value? (a) 1 (b) -4 (c) -2/13 (d) 5
b
Which is the second biggest value? (a) -2/7 (b) 4 (c) -2.35 (d) -0.1 (e) 1/8
e
Which is the fifth biggest value? (a) 5 (b) 1.909 (c) -2/3 (d) -0.3 (e) -1/7
c
What is the fifth smallest value in 2, -0.1, 1/3, -23, 2/17?
2
Which is the fifth biggest value? (a) -3 (b) 0.3 (c) -19/91 (d) -4/5 (e) 5
a
What is the smallest value in -0.3, -5, -122/3?
-122/3
What is the second smallest value in 4, -0.9, -0.2, -1/3, 6?
-1/3
What is the third smallest value in 0.1, -2/9, 3/5, -0.4?
0.1
Which is the biggest value? (a) 2/5 (b) -5 (c) -0.024 (d) -1/8
a
Which is the third biggest value? (a) 5.7 (b) -4/5 (c) -0.1 (d) 0.1 (e) 2
d
Which is the second biggest value? (a) 0.09 (b) -1/2 (c) -0.1 (d) -3
c
Which is the biggest value? (a) 0.03 (b) 2/13 (c) 2/5 (d) 3
d
What is the fourth smallest value in 5, 1/3, -0.3, 4?
5
What is the biggest value in -2/19, 1/3, -1/2, -1, 0.1?
1/3
What is the second smallest value in -3/7, -0.1, 10/3?
-0.1
Which is the third smallest value? (a) 91 (b) -2/5 (c) -2/23
a
What is the third smallest value in 1/6, 3, -344, -4, -1?
-1
What is the second smallest value in -2, -1, 161, -2/95?
-1
What is the third biggest value in 1/13, 2, -5, -1/5, -0.3?
-1/5
What is the fourth smallest value in 1, 0.05, 3, -8?
3
Which is the biggest value? (a) 0.5 (b) 1 (c) 0.14
b
What is the third biggest value in -2/7, 442, 0.4?
-2/7
Which is the third biggest value? (a) 5 (b) -89 (c) 12/5
b
What is the third smallest value in -2, -1.9, 7/2, 3/5?
3/5
Which is the second smallest value? (a) 1/5 (b) 4 (c) 61/3
b
What is the second smallest value in 1, -74, -0.1?
-0.1
Which is the second biggest value? (a) 1/4 (b) 1/3 (c) -1/2 (d) 0.03
a
Which is the fifth smallest value? (a) -4 (b) -2/7 (c) 2/171 (d) -5 (e) 1
e
What is the second smallest value in -615, 1, 0.5?
0.5
Which is the third biggest value? (a) -81 (b) -1 (c) 5
a
Which is the third biggest value? (a) -2/5 (b) 2/9 (c) 0 (d) -5
a
Which is the second smallest value? (a) -2/3 (b) -13 (c) -0.1
a
What is the second biggest value in 2, 46, 4?
4
Which is the second smallest value? (a) 1/27 (b) -13 (c) 0.03
c
What is the smallest value in 1, 3, 2/7, 216/13?
2/7
What is the second biggest value in -0.1, -2/17, -12, -3, 0.2?
-0.1
What is the fourth smallest value in 3/5, 2, -2/11, 1/19?
2
Which is the second smallest value? (a) -29 (b) 0 (c) -6
c
Which is the second biggest value? (a) -4 (b) 2/207 (c) 4 (d) 3
d
What is the smallest value in 2/7, -3, -4?
-4
What is the biggest value in 0.8, -4/5, 0.1, -0.5?
0.8
Which is the second biggest value? (a) 0.3 (b) 0.4 (c) 10 (d) -3
b
What is the second smallest value in 0.2, 0, 5, -34?
0
What is the second biggest value in 3, 1, -0.5?
1
What is the smallest value in 3107, -2/9, -5, -5/2?
-5
Which is the third smallest value? (a) -2/5 (b) 11/13 (c) 2/5
b
What is the fourth smallest value in -2/7, -1/2, -0.1196, 3?
3
Which is the third biggest value? (a) -1/5 (b) -1 (c) -3 (d) 0
b
Which is the third smallest value? (a) -0.5 (b) 0.4 (c) 112 (d) -1
b
What is the biggest value in 5, -5, 378?
378
What is the second smallest value in -2, -1/2, 3.3, 1/23?
-1/2
What is the smallest value in -2/3, 2/5, 3/10, -2/29?
-2/3
Which is the second biggest value? (a) -4 (b) -3 (c) 1 (d) 26
c
What is the third smallest value in -3, -1/2, 1138?
1138
What is the biggest value in -510/7, 0.3, -1, -1/5?
0.3
What is the fourth smallest value in 2, -1, 1.01, -2/13?
2
What is the second smallest value in -525, 0.05, -5, -1/2?
-5
Which is the biggest value? (a) 25 (b) -1 (c) -5 (d) -19 (e) 0.1
a
Which is the fourth biggest value? (a) 1 (b) 0.3 (c) 0.2 (d) -2/7 (e) -194/5
d
What is the biggest value in -1.2, -2/65, -0.4?
-2/65
Which is the biggest value? (a) 0.2 (b) -1/2 (c) -24 (d) -3 (e) 6
e
What is the smallest value in -2/9, -1.98, 0.5, 0.2?
-1.98
What is the fifth smallest value in 2, -2, 0.1, -0.4, 4?
4
What is the third smallest value in 0.7, 0.2, 3?
3
Which is the third biggest value? (a) 28.9 (b) -5 (c) 1
b
Which is the smallest value? (a) 5 (b) -0.2 (c) -2/5 (d) 3
c
Which is the fourth smallest value? (a) -4/9 (b) 4 (c) 1/39 (d) 0 (e) 1
e
What is the smallest value in 2, 2/3, 0.3, 11.3?
0.3
Which is the smallest value? (a) -0.5 (b) 1 (c) 2/17 (d) -2/3
d
What is the fourth biggest value in -3, 5/6, 0, -35, -0.3?
-3
Which is the smallest value? (a) -2/3 (b) 2.7 (c) -0.5 (d) 0.3
a
What is the fourth biggest value in -104, 0.5, 0.4, 0.3?
-104
Which is the third biggest value? (a) -2/5 (b) -22 (c) -1/7 (d) -1/3
a
Which is the third biggest value? (a) -2 (b) -6 (c) 5/2 (d) 1 (e) 340
d
What is the smallest value in -3/2, 0, -41?
-41
What is the second smallest value in -0.1, -2/7, 1601?
-0.1
Which is the smallest value? (a) 0.3 (b) 4 (c) -2/17 (d) 0.05 (e) -2/33
c
Which is the smallest value? (a) -1 (b) 15/22 (c) 4/5
a
Which is the fourth biggest value? (a) -2/11 (b) 0.6 (c) 0.3 (d) -0.1
a
Which is the third smallest value? (a) 7/10 (b) 0 (c) -2/23 (d) -0.8
b
What is the third smallest value in -10, 0.1, 0.04, 0.6?
0.1
What is the second smallest value in 4, -4, 1, 5, 0.15?
0.15
What is the third biggest value in 3, 30, -5, 0.4?
0.4
Which is the biggest value? (a) 1.72 (b) -10/9 (c) 4 (d) 1/3
c
Which is the biggest value? (a) -2/11 (b) 0.02 (c) 5 (d) 0.4
c
Which is the second smallest value? (a) -0.1 (b) -4.4 (c) -6/5
c
Which is the biggest value? (a) 0 (b) -5 (c) -1/7 (d) -1
a
What is the third smallest value in -3, 475, -3/5?
475
What is the smallest value in -16, 7, -3/14?
-16
Which is the fourth biggest value? (a) 0.3 (b) 1 (c) -10.9 (d) -2
c
What is the fourth smallest value in -0.2, 7, -149, 0.2?
7
Which is the second biggest value? (a) 0.2 (b) -77 (c) -2/5
c
Which is the third biggest value? (a) -4/5 (b) -3 (c) 1 (d) -1 (e) 2
a
Which is the third smallest value? (a) -0.2 (b) 1/3 (c) 0.09
b
Which is the second smallest value? (a) 0 (b) -372 (c) -1/3
c
Which is the smallest value? (a) 0.25 (b) 14 (c) 2/9 (d) -1
d
What is the fourth biggest value in -118, 0.5, -3/7, 0.3?
-118
What is the second biggest value in -1/16, 1, 2/3, -0.2, 11?
1
What is the third biggest value in 1/7, -2, -67.58, 1/4?
-2
Which is the third smallest value? (a) -4 (b) 0.9 (c) 1 (d) 0.1
b
Which is the third biggest value? (a) -0.1 (b) -2 (c) -0.515
b
Which is the third smallest value? (a) 4 (b) -4/3 (c) -4/5
a
Which is the fourth smallest value? (a) 6 (b) -2/21 (c) -3/2 (d) -0.2
a
Which is the second smallest value? (a) -3 (b) -0.4 (c) 4
b
Which is the smallest value? (a) 28/19 (b) 2 (c) 0.2 (d) 0.1
d
Which is the second smallest value? (a) -4 (b) 1325 (c) 2
c
Which is the third biggest value? (a) -1/6 (b) 2 (c) 23
a
Which is the third smallest value? (a) 2/7 (b) 5/3 (c) 0.07
b
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
8*c + 227*c = -5 for g.
3
Solve 67*i = 68*i - d + 4, 3*i - 5*d = -22 for i.
1
Solve 5*a = -5*d, -5*a + 2*a + 25 = -2*d for d.
-5
Solve 0 = -5*a + 3*w + 60 - 103, 0 = -w - 4 for a.
-11
Solve -16*i + 13*i = -14*m + 104, 0 = -3*i + m - 13 for i.
-2
Solve 2*u + 5*r = 32, u - 23 = -4*u - 0*u - 3*r for u.
1
Solve -3*p = -4*l - 4, 3*p - 8*p + 3*l = -14 for p.
4
Solve -3*n + 194*m + 22 = 196*m, -30 = -3*n + 6*m for n.
8
Solve 2*m = -4*i - 60, -5 = 478*i - 477*i for m.
-20
Solve 1319*n + 15 = 1322*n - 3*h, 8 = n - 2*h for n.
2
Solve z - 4*k - 11140 + 11139 = 0, 0 = -z - 3*k - 13 for z.
-7
Solve 3*y = -16*d + 64, -1039*d + 16 = 5*y - 1035*d for y.
0
Solve 0 = -v + 3*z + 26, 5*v - 56 = 20*z - 0 + 114 for v.
2
Solve -147 + 187 = -5*s - 5*q, -2*s - 28 = -4*q for s.
-10
Solve -3*o = -3*s, 69*o - 8*s + 3 = 64*o for o.
1
Solve -5*k = -3*l - 36, -l + 68 = 3*k + 52 for k.
6
Solve 3705*b - 3706*b - 5*y = 33, 21 = b - 4*y for b.
-3
Solve -3*a + 311*p - 48 = 309*p, -2*a - 24 = -p for a.
0
Solve 0 = 4*s - d + 6, 2*s = -32*d + 34*d for s.
-2
Solve -508*d + 3*b - 12 = -511*d, d + 3*b - 12 = 0 for d.
0
Solve 2*o = 4*y + 24, -4*o - 369*y = -371*y for o.
-4
Solve 2*o + 17*z = 51, -3*o = -5*o + z - 3 for o.
0
Solve -3*z = 5*m + 3, 105 = -3*m - 130*z + 25*z for m.
0
Solve -f - 3*g = -12, 2*f = -258*g + 253*g + 21 for f.
3
Solve 4 = -y - 5*v, 0 = 2*y - 5*v + 10*v + 3 for y.
1
Solve -4*a - 18 = -2*v, 4*v + 16 = 24*a - 29*a for a.
-4
Solve 7*a - 4*s + 6 + 6 = 0, -a + 3*s = -0*s + 9 for a.
0
Solve 0 = a - 13*m - 63, 54*a = 50*a + 4*m + 12 for a.
-2
Solve -22*w = 5*z - 46, -5*w = -1406*z + 1403*z - 27 for z.
-4
Solve 0 = 9*q - 0*q - 5*b + 48, 160*q = 164*q + 3*b + 37 for q.
-7
Solve -2*a = 2, -1 = -l - 59*a + 56*a for l.
4
Solve -k = a - 1, 5*k + 50 = 3*a + 23 for k.
-3
Solve 45 - 34 = -2*n - d, 4*n = -d - 19 for n.
-4
Solve o = -c - 2, 30 + 5 = 5*c - 4*o for c.
3
Solve -g = 97 - 95, 2*r + 5*g + 6 = 0 for r.
2
Solve 4*r + 2*r = -b + 4*b, 3*r = 2*r for b.
0
Solve j = a + 16 - 25, 3*a = 4*j + 31 for j.
-4
Solve b - 3385 = -m - 3382, -2*m - 5*b = -18 for m.
-1
Solve -453*x = -452*x + 4*i + 7, 3*x + 4*i = 3 for x.
5
Solve -3*y + 3*p - 9 = 0, 87*y = 86*y - 5*p + 9 for y.
-1
Solve -40 = 2*k + 8*i, k + 493*i + 5 = 492*i for k.
0
Solve 64*g - 69*g + 5*z + 20 = 0, -z = 5 for g.
-1
Solve k = 6*k - 9*k - 3*w - 2, 4*w - 24 = 0 for k.
-5
Solve 0 = 4*h - 3*z + 37, 28*h - 4*z = 35*h for h.
-4
Solve -q = -3*l + 707 - 663, -5*l + 2*q = -73 for l.
15
Solve -4*s = 2*x - 2, -2*x + 9*s - 10 - 23 = 6*s for x.
-9
Solve 5*l = -71*j + 70*j + 35, -34 = 2*j - 3*l for j.
-5
Solve 4*t + 0*t - 21 = -3*b, b = -38*t + 117 for t.
3
Solve 7*j = -v + 4, 414*v - 412*v - 8 = 3*j for j.
0
Solve -26 = -4*k + 3*f - 15, f - 4 = 9*k for k.
-1
Solve -5*p + 119 - 99 = -5*y, -2*p + 4*y = -14 for p.
1
Solve 11*f = 9*f - 2*y - 24, 2*f - 4*y = 6 for f.
-7
Solve 5*j + 174 - 189 = -2*l, 4*j - l + 1 = 0 for j.
1
Solve -5*o - 4*d + 57 = 9, 3*o + d = 26 for o.
8
Solve 0 = -5*f - 2*k + 2, f - 423*k + 1 = -422*k for f.
0
Solve 0 = -4*m - 8, -100*r - 25*m = -105*r + 20 for r.
-6
Solve 4*u = -4, 857*s + 4*u = 855*s + 12 for s.
8
Solve -2*b = -h - 540 + 532, h - 27 = -5*b for b.
5
Solve -2*c = -6, 7 = -2*f + 109*c - 104*c for f.
4
Solve 4*a = -2*d - 10, -786*a + 783*a - 1 = -5*d for a.
-2
Solve 13*z - 17*z = -3*u - 102, -4*u + 76*z = 1832 for u.
-2
Solve 45 = 3*c - o + 6*o, 0 = -3*c - 3*o + 33 for c.
5
Solve 0*g + 55*i = -2*g + 51*i - 6, -3*g + 115 = -25*i for g.
5
Solve 5*m = -8*o - 19, -m + 2*o = -3*m - 4 for m.
1
Solve -3*m - 18 = -5*b - 34, 0 = -3*m + 2*b + 10 for m.
2
Solve -7*m + 58 = -695*h + 698*h, -4*h = -5*m + 66 for h.
-4
Solve -3*g - 4*s - 26 = 0, -4*g + s - 112 + 109 = 0 for g.
-2
Solve 4 = -9*b + 12*b + 2*c, -4 = -5*b - 2*c for b.
0
Solve 5*u - 2*g + 10 = 0, -16*g + 21*g = 4*u + 8 for u.
-2
Solve 3*f = 3*k - 15, -9212*k + 9210*k - 3*f - 25 = 0 for k.
-2
Solve 4*g + 12 = 5*w, 23*w + 64 - 55 = -3*g for g.
-3
Solve -9*u = u - 10*u - 5*p, 5*p = -u + 22 for u.
22
Solve -p - 3*c = 8, 173*p - 4*c = 166*p + 19 for p.
1
Solve 0 = 3*v + 5*n + 61, 1125*v - 1127*v - 39 = 3*n for v.
-12
Solve -2*i + 6 = 0, i - 43 = -4*b - 52 for b.
-3
Solve -3*x = -d + 7, 4*d - 2*x + 103 = 91 for d.
-5
Solve -4*l = -20, 8*j + 6*j - 16*j + 5*l - 23 = -j for j.
2
Solve 5*i = -15, 2*g + 142 - 162 = 2*i for g.
7
Solve t + x - 3 = 0, 7633*x = t + 7635*x - 7 for t.
-1
Solve -14*q = -t + 22, 7*t - 2*q = 6*t + 2*t + 10 for t.
-6
Solve 0 = a - j + 4, 19*a - 15*a + j = -21 for a.
-5
Solve 0 = 3*t + 4*p - 152 + 149, t + 10 = -5*p for t.
5
Solve 21*w - 4 = 20*w + 2*m, 0 = -2*w - 2*m - 16 for w.
-4
Solve -r = m + 5, -5*m + 510 = -2*r + 563 for r.
4
Solve 0 = -4*w + 5*z + 154, -3*w + 14*z = 23*z + 267 for w.
1
Solve 17 = 4*n - 5*q, -5*q + 1628 - 1655 = n for n.
-2
Solve -2344*i = -2347*i - 3*g - 3, 2 = 2*i + g for i.
3
Solve 13*m - 18*x = -19*x + 8, 40 = -4*m + 5*x for m.
0
Solve 0 = t - 5*p - 15, 0 = -12*t + 7*p - 12*p + 50 for t.
5
Solve 4*d + 4 = 3*l + 16 + 16, 0 = d - 4 for l.
-4
Solve 5*u - 25 = 0, -5*y + 4*u - 51 = -41 for y.
2
Solve 5*q - j + 19 = 0, -104*q + 3*j - 7 = -99*q for q.
-5
Solve -4*c - 2*z - 6 = 0, -52319*z - 7 = -2*c - 52318*z for c.
1
Solve -4*l - 24 = 2*w, 85*w = -l + 86*w for l.
-4
Solve 4*p - 5 = -203*g + 206*g, 4*p - 11 = -3*g for g.
1
Solve -37*p = -5*j + 25, 2*p - 63 + 68 = j for j.
5
Solve 0 = 3*n + h, -2*n - 234*h = -238*h + 42 for n.
-3
Solve 2*z + 22 = 5*l - 20, -2*z - 10 = -l for l.
8
Solve 4*z - 14 = g, 5*g + 86 = 25*z - 21*z for z.
-1
Solve 5*u = 20, -2*u - 30 = 2*b - 4*u - 3*u for b.
-5
Solve -2*d = 3*j - 8*j - 19, -3*j - 21 = 2*d for d.
-3
Solve 3*c + 6*m - 3 = 0, 88*c - 89*c - m = -2 for c.
3
Solve -5*p = 5*q - 144 + 169, q = -2 for p.
-3
Solve -5*s + 2*u = -179 + 174, u + 9 = -4*s for s.
-1
Solve -2*i = 79*v - 80*v - 13, 31 = -2*v + 5*i for v.
-3
Solve t = u - 314 + 321, -6*t = -5*u - 37 for t.
2
Solve 163*m + c - 31 = 166*m, 3*c - 33 = 4*m for m.
-12
Solve 116*q + 5*r = 121*q + 75, -3*q - 51 = -5*r for q.
-12
Solve -4*b = 4*j + 40, 8*j = -6*b + 12*j - 20 for b.
-6
Solve -4*z + 5*v = 8, 2*z - 403 + 407 = 3*v for z.
-2
Solve -4*i - 5*w + 36 = 0, 2*i = 10*w + 13*w - 84 for i.
4
Solve 12*y + 247*b = 244*b + 72, 0*y = 2*y - 4*b + 6 for y.
5
Solve 8*j - 6 = -2*m + 9*j, 0 = -j - 4 for m.
1
Solve -i = -1578*x + 1579*x, -5*x = -i + 6 for i.
1
Solve 2*o - 36*x - 20 = -32*x, x + 23 = 5*o for o.
4
Solve -2 - 2 = -t - 6, 4*t = -2*q + 2 for q.
5
Solve 4*r - 206*d = -200*d + 94, -4*d - 64 = -2*r for r.
-2
Solve -290*k + 6*n - 24 = -288*k, 2*n - 8 = -2*n for k.
-6
Solve -24*g + 14 = -31*g, -3*u - 2*g + 8 = 0 for u.
4
Solve 2 = -c, -3*c + 1849 = -4*s + 1839 for s.
-4
Solve -3*b = -4*m - 989 + 969, 3*b + 5*m - 29 = 0 for b.
8
Solve x + 2 = 2*u, -24*u - 6 = 3*x - 19*u for x.
-2
Solve -k - 2*n + 22 = 0, 143*k - 2*n = 146*k - 26 for k.
2
Solve -4*c - 14 = f, -9*f - 14 + 12 = 3*c - 8 for f.
2
Solve -3*i = 3, w + 2*i - 56 + 59 = 0 for w.
-1
Solve 7*b - g + 1 = 8*b, -2*g - 4 = 4*b for b.
-3
Solve -t = -197*u + 195*u - 9, -10 = -t + 3*u for t.
7
Solve -8820*q = -8823*q - 3*r - 18, -3*q - 16 = 5*r for q.
-7
Solve 9542*o + 3*m + 17 = 9544*o, 3*o + 3 = -5*m for o.
4
Solve o - 4*d + 2 = 0, 0 = 19828*d - 19826*d for o.
-2
Solve 3056*g = 3053*g - 2*q + 33, q = 4*g - 55 for g.
13
Solve 294*p + 21 = 289*p - 2*d, -7*d - 30 = 3*p for p.
-3
Solve 2*w + 16 - 11 = -9, -5*m - 4*w = 43 for m.
-3
Solve -27 = 3*t - l, -3*l + 146 = -800*t + 778*t for t.
-5
Solve 8*z - 50 = 10*z + 8*o, -2*z + 5*o = -41 for z.
3
Solve 0 = 2*o - 10, -2*o - 20 = 2*p - 10 for p.
-10
Solve 2*z - 51 + 30 = -5*k, 4*k - 2*z - 6 = 0 for k.
3
Solve -755*a + h + 6 = -753*a, -4*h = 2*a + 14 for a.
1
Solve -2*g + 5*z = -13, 0 = -4*g - 5*z - 2189 + 2200 for g.
4
Solve 2*l - 236*d + 4 = -238*d, 9*l = d + 12 for l.
1
Solve 2*a = -4*m + 22, 4*a + 7959 - 7983 = -3*m for a.
3
Solve -81*k = -76*k - 4*i + 34, -5*k + 26 = 6*i for k.
-2
Solve -5*m - z = 15, -7*m - 47 = -4*z + 1 for m.
-4
Solve 5*r - 2*k + 3 = 0, 30*r - 59*k + 60*k = -31 for r.
-1
Solve -61*w + 58*w + 29 = -4*l, -2*w = -5*l - 31 for w.
3
Solve -2*p - 185 + 199 = -4*b, b = -5*p + 35 for p.
7
Solve 5*n = 26*i - 29*i + 3, 0 = -n + 3*i - 3 for n.
0
Solve 0 = -2*s - h - 7, -33*s + h - 99 + 1 = 0 for s.
-3
Solve -3*q - 546 + 567 = 5*u, 6*q -
|
{
"pile_set_name": "DM Mathematics"
}
|
?
110000
What is -86300 rounded to the nearest 10000?
-90000
Round -29.91 to the nearest integer.
-30
Round 0.004316 to 3 dps.
0.004
Round -0.5953 to two decimal places.
-0.6
What is -0.00519 rounded to three dps?
-0.005
What is 6.091 rounded to 1 decimal place?
6.1
What is -15871 rounded to the nearest one thousand?
-16000
What is -84600000 rounded to the nearest one million?
-85000000
What is 0.63934 rounded to three dps?
0.639
Round 347.118 to the nearest 10.
350
Round 5296 to the nearest 10000.
10000
Round 0.162645 to three dps.
0.163
What is -563.5 rounded to the nearest ten?
-560
Round 0.04222 to 3 dps.
0.042
What is 0.000001106 rounded to seven dps?
0.0000011
What is -0.000008585 rounded to six decimal places?
-0.000009
Round -0.00000688 to seven decimal places.
-0.0000069
Round 0.0024167 to 4 dps.
0.0024
What is 0.00011305 rounded to 5 decimal places?
0.00011
Round -769.1 to the nearest 100.
-800
Round 0.13281 to three dps.
0.133
What is 0.0000015887 rounded to 7 dps?
0.0000016
What is -4.876 rounded to zero decimal places?
-5
What is 0.00683 rounded to three dps?
0.007
Round 9161 to the nearest one thousand.
9000
What is -39.184 rounded to zero dps?
-39
What is 0.071378 rounded to three decimal places?
0.071
What is -0.130505 rounded to 2 dps?
-0.13
What is 0.005908 rounded to four decimal places?
0.0059
Round 69.8 to the nearest integer.
70
Round 0.0007141 to four decimal places.
0.0007
Round -0.000216231 to 6 decimal places.
-0.000216
Round 0.0004083 to five dps.
0.00041
Round 85.071 to zero decimal places.
85
What is 0.104689 rounded to 3 decimal places?
0.105
Round -0.000226914 to six dps.
-0.000227
What is -2327800 rounded to the nearest 1000000?
-2000000
What is 41.58 rounded to the nearest ten?
40
Round 2330 to the nearest one hundred.
2300
Round 263742000 to the nearest one million.
264000000
Round 16508000 to the nearest one hundred thousand.
16500000
What is -0.0008277 rounded to 4 dps?
-0.0008
What is 0.19886 rounded to two dps?
0.2
Round -0.000000488 to six decimal places.
0
What is -0.000024719 rounded to 6 dps?
-0.000025
Round -0.0000515 to 5 dps.
-0.00005
What is -1.9872 rounded to one decimal place?
-2
Round -25151000 to the nearest one hundred thousand.
-25200000
What is -405.8 rounded to the nearest ten?
-410
Round -0.000002567 to seven decimal places.
-0.0000026
What is 0.04034 rounded to three dps?
0.04
What is 0.00000358 rounded to seven decimal places?
0.0000036
What is -0.0000001147 rounded to 7 dps?
-0.0000001
What is -7635500 rounded to the nearest 1000000?
-8000000
What is -337316 rounded to the nearest 10000?
-340000
Round -0.28962 to 2 decimal places.
-0.29
What is -0.0000013139 rounded to seven dps?
-0.0000013
What is 183 rounded to the nearest ten?
180
Round -0.00787 to four dps.
-0.0079
Round 0.00019088 to 6 dps.
0.000191
Round 2285000 to the nearest one hundred thousand.
2300000
Round 0.006277 to 4 dps.
0.0063
What is 5979000 rounded to the nearest 100000?
6000000
Round -0.0099266 to 5 decimal places.
-0.00993
What is -779000 rounded to the nearest one hundred thousand?
-800000
Round -0.4553 to 2 dps.
-0.46
Round -0.64906 to two decimal places.
-0.65
What is -0.01485 rounded to 3 dps?
-0.015
Round -0.0000009481 to 7 decimal places.
-0.0000009
What is 16370 rounded to the nearest one thousand?
16000
Round -845050 to the nearest one thousand.
-845000
What is -14.0132 rounded to zero dps?
-14
What is -2560.9 rounded to the nearest 100?
-2600
What is -2116.3 rounded to the nearest 100?
-2100
What is -0.00013893 rounded to six decimal places?
-0.000139
What is -0.9518 rounded to 1 dp?
-1
What is 3.359 rounded to 1 dp?
3.4
What is 0.5726 rounded to 1 dp?
0.6
What is -0.9819 rounded to 2 dps?
-0.98
What is -19.715 rounded to the nearest integer?
-20
What is 0.00002719 rounded to five dps?
0.00003
Round 2734.9 to the nearest 100.
2700
Round 0.00633 to three dps.
0.006
Round 29627000 to the nearest one million.
30000000
Round 2189.2 to the nearest one hundred.
2200
What is -273270 rounded to the nearest ten thousand?
-270000
What is -883.8 rounded to the nearest ten?
-880
Round -154.06 to the nearest 10.
-150
Round 530 to the nearest 100.
500
Round -1.26876 to two decimal places.
-1.27
What is -0.002131 rounded to three decimal places?
-0.002
What is 2121.8 rounded to the nearest 10?
2120
What is 229.32 rounded to the nearest 10?
230
What is -483.7 rounded to the nearest 10?
-480
Round -117100000 to the nearest 1000000.
-117000000
What is 1273900 rounded to the nearest 100000?
1300000
Round -0.26841 to three decimal places.
-0.268
Round 4795 to the nearest 100.
4800
What is -0.00000140054 rounded to seven decimal places?
-0.0000014
What is -0.000007432 rounded to six dps?
-0.000007
Round -40213 to the nearest 1000.
-40000
What is 0.002992 rounded to 4 dps?
0.003
Round 1890000 to the nearest 10000.
1890000
What is -0.0000333426 rounded to six decimal places?
-0.000033
What is 338100 rounded to the nearest ten thousand?
340000
Round 10415 to the nearest 100.
10400
What is -0.0018003 rounded to five decimal places?
-0.0018
What is -3801.4 rounded to the nearest 100?
-3800
What is -1148000 rounded to the nearest one hundred thousand?
-1100000
Round -1731 to the nearest 100.
-1700
Round -5850 to the nearest one hundred.
-5900
What is -0.00017198 rounded to six dps?
-0.000172
Round 0.2198 to 1 decimal place.
0.2
What is 1.309 rounded to 1 dp?
1.3
Round -2.1461 to two dps.
-2.15
What is 0.73045 rounded to 2 dps?
0.73
What is 1.005 rounded to 1 dp?
1
Round 0.0621 to two dps.
0.06
Round 55.36 to the nearest ten.
60
Round -77.3 to the nearest ten.
-80
What is -0.00033039 rounded to 5 dps?
-0.00033
What is 10413 rounded to the nearest one thousand?
10000
What is 3.737 rounded to zero dps?
4
Round 0.01194 to three decimal places.
0.012
What is -0.0000005482 rounded to six decimal places?
-0.000001
What is 0.14053 rounded to two decimal places?
0.14
Round -5530 to the nearest 1000.
-6000
Round -2308 to the nearest one hundred.
-2300
Round 2.36164 to the nearest integer.
2
What is 1.2265 rounded to 1 dp?
1.2
What is -0.84012 rounded to two dps?
-0.84
What is 2.3884 rounded to one decimal place?
2.4
What is 221700 rounded to the nearest one hundred thousand?
200000
Round 914 to the nearest ten.
910
What is -3419000 rounded to the nearest 10000?
-3420000
Round 402.78 to the nearest ten.
400
What is -314.18 rounded to the nearest integer?
-314
Round -0.03145 to 3 decimal places.
-0.031
Round -3800000 to the nearest 1000000.
-4000000
What is -2236.7 rounded to the nearest 100?
-2200
What is -685000 rounded to the nearest one hundred thousand?
-700000
What is -2985000 rounded to the nearest 1000000?
-3000000
Round 173.8 to the nearest ten.
170
What is -43730 rounded to the nearest one thousand?
-44000
Round -0.12408 to 3 dps.
-0.124
Round -8.94 to zero decimal places.
-9
Round -0.0000174164 to 6 dps.
-0.000017
What is 0.041261 rounded to four decimal places?
0.0413
Round 0.014 to one decimal place.
0
Round -917040 to the nearest 10000.
-920000
Round 0.0441 to four dps.
0.0441
What is 583.8 rounded to the nearest ten?
580
What is 6.86 rounded to one dp?
6.9
What is -65976 rounded to the nearest 10000?
-70000
What is 0.00016369 rounded to six dps?
0.000164
Round -8.71 to the nearest integer.
-9
What is 7422000 rounded to the nearest 100000?
7400000
Round -35.04 to the nearest ten.
-40
What is 0.19563 rounded to 3 dps?
0.196
Round -0.0004187 to five dps.
-0.00042
Round -296 to the nearest 100.
-300
What is 0.001314 rounded to four dps?
0.0013
What is 730900 rounded to the nearest ten thousand?
730000
Round -154.349 to the nearest ten.
-150
What is -35860200 rounded to the nearest one million?
-36000000
What is -1.0648 rounded to two dps?
-1.06
What is -0.000153 rounded to four dps?
-0.0002
What is -2.3623 rounded to one dp?
-2.4
What is -0.57872 rounded to two decimal places?
-0.58
What is 138737000 rounded to the nearest one million?
139000000
What is -341700 rounded to the nearest one hundred thousand?
-300000
What is -12726000 rounded to the nearest 1000000?
-13000000
Round -2322 to the nearest one hundred.
-2300
What is 44000 rounded to the nearest one thousand?
44000
Round -5268.4 to the nearest one hundred.
-5300
Round 242
|
{
"pile_set_name": "DM Mathematics"
}
|
m of 130, 168, 220, 292, 390, 520?
b**3 + b**2 + 28*b + 100
What is the i'th term of -70, -136, -202, -268?
-66*i - 4
What is the s'th term of -209, -220, -245, -290, -361, -464, -605, -790?
-s**3 - s**2 - s - 206
What is the i'th term of 716, 714, 712, 710?
-2*i + 718
What is the c'th term of -412, -410, -408, -406, -404?
2*c - 414
What is the k'th term of 9, -3, -37, -105, -219, -391, -633?
-2*k**3 + k**2 - k + 11
What is the z'th term of -52, -48, -46, -46?
-z**2 + 7*z - 58
What is the h'th term of 208, 209, 208, 205, 200, 193, 184?
-h**2 + 4*h + 205
What is the h'th term of 172, 178, 186, 196?
h**2 + 3*h + 168
What is the k'th term of -200, -387, -574?
-187*k - 13
What is the p'th term of -4202, -4194, -4174, -4136, -4074, -3982, -3854?
p**3 + p - 4204
What is the u'th term of -83, -166, -263, -380, -523, -698, -911?
-u**3 - u**2 - 73*u - 8
What is the g'th term of 2, -8, -22, -40, -62, -88?
-2*g**2 - 4*g + 8
What is the h'th term of 37, 54, 71, 88, 105?
17*h + 20
What is the u'th term of -276, -545, -814, -1083, -1352?
-269*u - 7
What is the x'th term of -68, -297, -684, -1229?
-79*x**2 + 8*x + 3
What is the i'th term of 20, 16, 12, 8, 4, 0?
-4*i + 24
What is the w'th term of -142, -284, -426, -568, -710, -852?
-142*w
What is the y'th term of -389, -388, -387, -386, -385, -384?
y - 390
What is the a'th term of -138, -157, -212, -321, -502, -773, -1152?
-3*a**3 + 2*a - 137
What is the m'th term of 580, 584, 588, 592, 596?
4*m + 576
What is the p'th term of -46, -44, -42?
2*p - 48
What is the n'th term of -73, -140, -205, -268, -329, -388, -445?
n**2 - 70*n - 4
What is the b'th term of -18, -29, -40, -45, -38, -13, 36, 115?
b**3 - 6*b**2 - 13
What is the m'th term of 2004, 2002, 2000?
-2*m + 2006
What is the b'th term of 3946, 3947, 3948, 3949, 3950?
b + 3945
What is the i'th term of -129, -254, -381, -510?
-i**2 - 122*i - 6
What is the i'th term of 2, 15, 36, 65, 102, 147?
4*i**2 + i - 3
What is the a'th term of -18, -29, -40, -51, -62, -73?
-11*a - 7
What is the x'th term of -70, -74, -82, -94, -110?
-2*x**2 + 2*x - 70
What is the t'th term of -26, -44, -62, -80, -98, -116?
-18*t - 8
What is the x'th term of -4, -46, -128, -262, -460?
-2*x**3 - 8*x**2 - 4*x + 10
What is the m'th term of -200, -354, -518, -698, -900, -1130, -1394?
-m**3 + m**2 - 150*m - 50
What is the f'th term of -173, -680, -1523, -2702, -4217, -6068?
-168*f**2 - 3*f - 2
What is the j'th term of -12, -158, -568, -1374, -2708?
-22*j**3 + 8*j + 2
What is the o'th term of 26, 38, 52, 68?
o**2 + 9*o + 16
What is the n'th term of 325, 1335, 3025, 5401, 8469, 12235, 16705, 21885?
n**3 + 334*n**2 + n - 11
What is the l'th term of 31, 99, 205, 343, 507, 691?
-l**3 + 25*l**2 + 7
What is the t'th term of 3703, 3703, 3693, 3667, 3619, 3543?
-t**3 + t**2 + 4*t + 3699
What is the y'th term of -3132, -6256, -9368, -12462, -15532, -18572, -21576?
y**3 - 3131*y - 2
What is the k'th term of -8, -12, -34, -86, -180?
-2*k**3 + 3*k**2 + k - 10
What is the h'th term of 24, 33, 62, 123, 228, 389, 618?
2*h**3 - 2*h**2 + h + 23
What is the g'th term of -1011, -1015, -1015, -1005, -979, -931, -855?
g**3 - 4*g**2 + g - 1009
What is the b'th term of -283, -284, -285, -286?
-b - 282
What is the h'th term of -6, 12, 46, 96, 162?
8*h**2 - 6*h - 8
What is the n'th term of 89126, 89127, 89128, 89129, 89130?
n + 89125
What is the v'th term of -82, -66, -40, -4, 42?
5*v**2 + v - 88
What is the k'th term of -3119, -6242, -9367, -12494, -15623?
-k**2 - 3120*k + 2
What is the j'th term of -662, -635, -608, -581?
27*j - 689
What is the v'th term of 119, 237, 357, 479?
v**2 + 115*v + 3
What is the x'th term of -130, -139, -160, -199, -262, -355, -484, -655?
-x**3 - 2*x - 127
What is the k'th term of -218, -214, -200, -170, -118?
k**3 - k**2 - 218
What is the w'th term of -29, -83, -153, -245, -365, -519, -713, -953?
-w**3 - 2*w**2 - 41*w + 15
What is the l'th term of -3029, -12115, -27259, -48461, -75721?
-3029*l**2 + l - 1
What is the y'th term of -69, -75, -85, -99?
-2*y**2 - 67
What is the i'th term of 327, 684, 1041, 1398, 1755?
357*i - 30
What is the j'th term of -121, -34, 53?
87*j - 208
What is the k'th term of -6372, -25491, -57356, -101967, -159324, -229427, -312276?
-6373*k**2 + 1
What is the u'th term of -38, -13, 26, 85, 170, 287?
u**3 + u**2 + 15*u - 55
What is the r'th term of 72, 58, 42, 24?
-r**2 - 11*r + 84
What is the f'th term of 23, 56, 95, 140?
3*f**2 + 24*f - 4
What is the d'th term of 5, 1, -15, -43, -83, -135?
-6*d**2 + 14*d - 3
What is the q'th term of -330, -651, -972, -1293, -1614, -1935?
-321*q - 9
What is the v'th term of -41, -110, -179?
-69*v + 28
What is the t'th term of -1243, -2484, -3725, -4966?
-1241*t - 2
What is the q'th term of -230, -244, -268, -302, -346, -400?
-5*q**2 + q - 226
What is the c'th term of 414, 439, 464, 489?
25*c + 389
What is the j'th term of 75, 30, -99, -354, -777, -1410?
-7*j**3 + 4*j + 78
What is the q'th term of 20, -24, -122, -280, -504, -800, -1174, -1632?
-q**3 - 21*q**2 + 26*q + 16
What is the g'th term of -18, -26, -56, -120, -230, -398, -636?
-2*g**3 + g**2 + 3*g - 20
What is the h'th term of 247, 246, 245, 244, 243, 242?
-h + 248
What is the m'th term of 1073, 1077, 1085, 1097, 1113?
2*m**2 - 2*m + 1073
What is the l'th term of 1693, 1672, 1637, 1582, 1501, 1388, 1237?
-l**3 - l**2 - 11*l + 1706
What is the s'th term of -303, -292, -281?
11*s - 314
What is the s'th term of -1269, -5082, -11437, -20334, -31773, -45754?
-1271*s**2 + 2
What is the d'th term of 57, 120, 181, 240, 297, 352, 405?
-d**2 + 66*d - 8
What is the r'th term of 274, 242, 160, 4, -250, -626, -1148?
-4*r**3 - r**2 - r + 280
What is the k'th term of -814, -822, -832, -844, -858?
-k**2 - 5*k - 808
What is the p'th term of -57, -72, -91, -108, -117, -112, -87?
p**3 - 8*p**2 + 2*p - 52
What is the c'th term of 11, 41, 109, 233, 431, 721?
3*c**3 + c**2 + 6*c + 1
What is the p'th term of -10, 18, 56, 98, 138, 170?
-p**3 + 11*p**2 + 2*p - 22
What is the h'th term of 999, 1996, 2995, 3996?
h**2 + 994*h + 4
What is the o'th term of -911, -912, -913, -914, -915?
-o - 910
What is the w'th term of -15, -21, -47, -105, -207?
-2*w**3 + 2*w**2 + 2*w - 17
What is the x'th term of -1226, -1229, -1232, -1235, -1238, -1241?
-3*x - 1223
What is the d'th term of -14, -50, -110, -206, -350, -554, -830?
-2*d**3 - 22*d + 10
What is the r'th term of -162, -596, -1320, -2334, -3638, -5232, -7116?
-145*r**2 + r - 18
What is the d'th term of -23834, -23833, -23832?
d - 23835
What is the z'th term of -1270, -2533, -3796?
-1263*z - 7
What is the o'th term of -107, -417, -935, -1661?
-104*o**2 + 2*o - 5
What is the s'th term of 497, 1984, 4461, 7928?
495*s**2 + 2*s
What is the w'th term of -444, -463, -498, -555, -640, -759, -918, -1123?
-w**3 - 2*w**2 - 6*w - 435
What is the f'th term of -219, -1801, -6103, -14487, -28315, -48949, -77751?
-227*f**3 + 2*f**2 + f + 5
What is the r'th term of 32, 79, 148, 239, 352, 487, 644?
11*r**2 + 14*r + 7
What is the o'th term of 6, 38, 70?
32*o - 26
What is the v'th term of 42, 89, 146, 219, 314?
v**3 - v**2 + 43*v - 1
What is the o'th term of 3614, 3622, 3630, 3638, 3646, 3654?
8*o + 3606
What is the t'th term of -1763, -1784, -1843, -1958, -2147?
-3*t**3 - t**2 + 3*t - 1762
What is the p'th term of -5, -26, -47, -68, -89?
-21*p + 16
What is the w'th term of 37, 68, 101, 136?
w**2 + 28*w + 8
What is the x'th term of 50, 63, 90, 137, 210, 315, 458, 645?
x**3 + x**2 + 3*x + 45
What is the i'th term of 37, 75, 113, 151, 189?
38*i - 1
What is the c'th term of 452, 908, 1370, 1838?
3*c**2 + 447*c + 2
What is the x'th term of -78, -72, -66, -60, -54, -48?
6*x - 84
What is the k'th term of 28521, 28527, 28545, 28581, 28641, 28731, 28857?
k**3 - k + 28521
What is the r'th term of 20, 49, 96, 161?
9*r**2 + 2*r + 9
What is the t'th term of 18, 54, 142, 306, 570, 958, 1494?
4*t**3 + 2*t**2 + 2*t + 10
What is the z'th term of -727, -5804, -19583, -46414, -90647?
-725*z**3 - z**2 + z - 2
What is the u'th term of 257, 266, 281, 302, 329, 362?
3*u**2 + 254
What is the k'th term of -107, -223, -343, -467, -595, -727, -863?
-2*k**2 - 110*k + 5
What is the d'th term of 64, 324, 1028, 2398, 4656?
37*d**3 + d + 26
What is the r'th term of 5, -2, -7, -10?
r**2 - 10*r + 14
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
35 = 34*f - s*f. Solve -4*d + 5 = 3*m, f*m + 0 = -4*d + 3 for m.
-1
Suppose -917*j = -911*j - 30. Solve 3*z + 2*s = j, 0 = 2*z + 15*s - 13*s - 6 for z.
-1
Suppose -4*u - 4*o = -28, 3*u - 2*o + 53 = 49. Solve -u*f - 31 = 5*x - 14, -5*x - 4*f = 19 for x.
-3
Suppose 0 = -2*u + 4*u. Let g(k) = -20*k + 126. Let l be g(6). Suppose 4*o - 2 - l = u. Solve 4*s + o = 2*x - 8, -3*s + 20 = 4*x for s.
0
Let m(r) = -826*r - 5774. Let z be m(-7). Solve -4*a + 3*c - z*c - 1 = 0, 0 = -a - 4*c + 8 for a.
-4
Suppose -4*f = -2*i - 1292, 4*f = i - 2*i - 628. Let p = i - -645. Solve 5*x - p*v + 5 = 0, -4*v = x + x - 10 for x.
1
Suppose 4*d = -20*x + 14*x + 10, 5*x - 3*d - 21 = 0. Solve 3*t - j - 5 = 3*j, -4 = -2*t + x*j for t.
-1
Let d(y) = -22*y + 4. Let m be d(-5). Let x be m/42 - 2/(-7). Suppose -40*u + x = -37*u. Solve 4*r - 6 = -4*p + 2, 0 = 2*p + r + u for p.
-3
Suppose 25 - 5 = -3*i - 4*q, -3*q - 15 = -2*i. Let b be (-2)/6 + (i - (-64)/12). Solve 3*c = -5*h + 15, -h = -b*c - 3*h + 25 for c.
5
Let p be (-1 - 42/(-9)) + 4 + 11/(-3). Solve 16 = r - 3*b, -r + b + 24 = p*r for r.
4
Suppose 35*r - 119 = -14. Solve -3*m = -3*q - 30, -r*m - 19*q + 16*q - 6 = 0 for m.
4
Suppose -2038 = -139*y - 926. Solve -3*w = 13*u - y*u - 32, -3*u + 16 = w for w.
4
Let n be 10/(-15)*6*-1. Suppose -196 = 2*j + 2*j + n*t, 2*t - 8 = 0. Let y = 63 + j. Solve 5 = -4*x + 4*m - 3, x - 5*m + y = 0 for x.
0
Suppose 5*f + 941 - 956 = 0. Suppose u = f*w - 4*u - 38, -3*w + u = -22. Solve j - w - 4 = -5*y, 0 = -4*y + 12 for j.
-5
Suppose 5*r + 9 = -3*u, 3*u = -r + 4*r + 15. Suppose -h = -5*f - 76, -f + 3*f = u*h - 136. Let m = h - 63. Solve 5*t - 5 = q + m, 4*q = -t + 10 for t.
2
Let f = 17 + -10. Let x(v) = 11*v**3 - 79*v**2 + 35*v - 132. Let z be x(7). Solve 0 = 5*y + 5*w, 5*w - f*w - z = -y for y.
5
Let d = -154 + 174. Suppose 0 = d*w - w - 57. Solve w*b = -3*q + 15, -4*q = -5*b + 6 + 1 for q.
2
Suppose -19 = -5*h - 3*z, 2*h - z = -0*h + 12. Suppose -h*i = 2*i + 42. Let j be 4 - (i/(-3) - 0). Solve k + 3*n + 1 = 0, 2*n - 1 = -3*k + j*k for k.
5
Suppose -8 + 134 = 14*g. Solve f = t - 12, -4*f + 1 = 12*t - g*t for f.
-5
Let j = -127 + 132. Suppose -35 + 40 = 3*w + j*m, -3*w - 4*m + 7 = 0. Solve -n + 0*d - d = w, 5*d = 2*n - 18 for n.
-1
Let t(b) = -149*b + 1810. Let q be t(12). Solve y + 9 = z + 7, -5*z - y = -q for z.
4
Suppose 13*k + 8*k = -75*k + 288. Solve -2*y + 8 = i, -7*i = -k*y - 10*i + 15 for y.
3
Let d be (2 - (-1 - 12)) + (3 - 0). Let u be (-216)/(-22) + (-16)/(-88). Suppose 15*m = 16*m - u. Solve 0 = 5*j + 2*y + d, 3*j + 3*y = 4*j - m for j.
-2
Let f(u) = -u**2 - 58*u - 339. Let l be f(-51). Solve 0*t + 18 = -4*t + 2*k, -t - 4*k = -l for t.
-2
Let s be 5 - (-1 - -1 - -1). Suppose -167 = 7*f - 209. Let q(c) = -c**2 + 75*c - 554. Let h be q(66). Solve f*g - g = 5*v - h, -s*g - 8 = 2*v for v.
4
Let m = -80 + 88. Let p be -1*2/m*0. Suppose 4*j + 5*n - 3 = 10, p = -5*j + 2*n + 8. Solve -3*b = -f + 4, j*f - 3*b = -b for f.
-2
Let c = 20 - 11. Suppose -c = 10*r - 39. Let v = -16 - -16. Solve -p = -r*n - 20, v = n + n - p + 15 for n.
-5
Let j = 73 + -74. Let g be j + (30/2)/3. Suppose -p - 4 = -4*p - x, x - g = 3*p. Solve 4*n + 3 = d, 2*n = -p*n + 5*d + 3 for n.
-1
Suppose -78*m - 170 = -170. Let u = 17 - 7. Suppose -3*t + u = 2*t + 5*h, 30 = 5*t - 5*h. Solve t*o = -2*v + o + 3, m = -4*v - 2*o + 10 for v.
3
Suppose -70*q = 99*q - 2086 + 58. Solve -6 = -9*p + 4*p + 2*w, 4*w = 4*p - q for p.
0
Let d(g) = -8*g - 169. Let v be d(-21). Let z be (v + -1 + 2)/(-4 + 3). Solve z*x + x - 3*m = 4, 2*m + 6 = 4*x for x.
1
Let i be 0 + 2 - 1 - -9. Let q be 168/(-35)*5/(-4)*2. Suppose 8*w + q = 52. Solve w*f - 10 = 0, -1 = -x + 4*f - i for x.
-1
Let g = 27 - 24. Suppose 3*h - 9 + g = 0. Solve h*f = 3*q + 9, 7*q = -4*f + 2*q + 7 for f.
3
Let w(r) = 5*r. Let n be w(1). Let v(p) = -p**2 - 34*p - 93. Let g be v(-3). Let a be ((-2)/(-2)*-3 - -4)*7. Solve -n*u + 4*s - 32 = -a, 2*s = g for u.
-5
Suppose -92 = 2*d - 3*i, d + 4*i + 84 - 27 = 0. Let b be (-7)/(d/70) + -7. Suppose -4*f + 22 = 2*y, f + y = -3*y + 23. Solve v = -4, f*p - v = 2*v - b for p.
-5
Let w(a) = -a**2 + 24*a - 26. Let f be w(9). Let v = 113 - f. Let l be ((-13)/(104/16))/((-2)/v). Solve -2*z + 18 = -l*y, 3*y = 4*z + 5*y + 14 for z.
-1
Let p(k) = 5 + 0*k - k**2 - 7*k + 5*k + 4*k + 0*k - 2*k**3. Let z be p(0). Solve -2*y - 10 = 2*a, y = -z*a - 0 - 25 for a.
-5
Suppose 0 = -58*h + 164 + 10. Solve -o + 5 = -3*b, -h*o + 5 = 2*b - 10 for o.
5
Let m be (-8)/36*-1 + 8/(-36). Suppose m = -65*v + 32*v + 1056. Solve -6*l = -2*l - 5*c - 41, -3*l + 4*c + v = 0 for l.
4
Let v = 36129 - 36123. Solve 2*l - 18 = 3*i, 4*i = v*l - 5*l - 19 for l.
3
Let c be (-14)/70*60/(-3)*(-1)/(-1). Solve 0 = -3*n - 3*k, 2*k - c*k = -3*n - 10 for n.
-2
Suppose -3*c - 2*c = -5. Let h be c - (0 - 4) - 0. Solve -8*g - 35 = -3*g - h*a, 3*a = 12 for g.
-3
Let d be (-3 - 0)*((-260)/60)/((-1)/(-1)). Solve -3*w = 5*j + d, 3*j + 0 = -2*w - 8 for w.
-1
Let y(b) be the third derivative of 1/3*b**3 + 1/24*b**4 + 0*b - 9*b**2 + 0. Let p be y(-2). Solve 5*a - 4*a + 7 = -g, p = -5*a - g - 15 for a.
-2
Let c be 8/16 - (-5)/2. Suppose 4916*l = 4902*l + 14. Solve 2*b - y - c = 0, 2*y - l = -7*b + 4*b for b.
1
Let i(p) = -437*p - 432. Let v be i(-1). Solve 1 - 26 = v*b + 3*a, -2*b + 5*a - 10 = 0 for b.
-5
Suppose -310*c + 116*c = 67 - 1037. Solve 29*d + s = 24*d - 30, 0 = -4*d + 3*s - c for d.
-5
Let v be (107 - 86)/(7 - 0). Solve -2*n - x + 1 = -5*n, -5 = -5*n + v*x for n.
-2
Suppose 0 = -251*b + 247*b - 8. Suppose -2*q + 6 = 2. Let h be 2 + (b - (-13 - q)). Solve 2*u + h = 5*g, -u = u - g + 3 for u.
0
Suppose -d = -4*w + 22, 2*w + 26 = -3*d + 30. Solve -p + 2*r = -9, -3*r = -w*p - 40 + 43 for p.
-3
Suppose -2*s = -2*h - 32, 56*s - 51*s = -3*h + 48. Solve -8 = 4*t, -3*g - s = 2*g - 4*t for g.
-4
Let c be 2/2 - (-8 + -5). Suppose 43 = c*m + 1. Solve 3*j - m*s = 0, 4*j - 9 = -0*j - 5*s for j.
1
Let w = 24 - 20. Suppose -w*h + 10 = h. Let c be ((-22)/(-5) - 1) + h/(-5). Solve 4*v + 16 = -5*p, c*v + 2*p + 6 = 1 for v.
1
Suppose 16*t + 136 = 12*t. Let w = t - -17. Let h be (w/(-4))/1 - 3/(-4). Solve 0 = 4*q + h*n + 11, 5*q + 2*n + 1 = -0*q for q.
1
Suppose x + 44 = 3*x. Let f = 24 - x. Suppose 2*r = g - 17 - 15, f*g + 2*r - 46 = 0. Solve 4*l + k - 3*k + g = 0, 0 = l + k - 1 for l.
-4
Let f be 1/(-2)*3*-2. Let j = 329 - 316. Suppose -18 = -5*b - 4*v + j, 0 = -5*b + 4*v - 1. Solve -2*t - 14 = -4*n, -f*n + b*t = -11 - 1 for n.
3
Let m = -39 + 41. Suppose 0 = h + 2*r - 10 + m, -3*h - 16 = -4*r. Solve 2*o - 3 = 3*l - 23, h = -5*o - 2*l - 12 for o.
-4
Let w(o) = 3*o**2 - 3*o - 22. Let z be w(-3). Let x = 397 + -395. Solve -s = -2*s + 3*c - z, -5*s = -x*c + 18 for s.
-2
Let j(t) = -t**2 - 8*t + 5. Let l be j(-6). Let w = 82602 + -82598. Solve -w*d + 2*d = -5*s + l, 0 = 2*s - 5*d + 10 for s.
5
Suppose 15*o - 46 = 29. Suppose -3*c + 5*c + 8 = 0, 3*u = -o*c - 20. Solve -2*l + 2*p + 2 = u, -2*l - 3*p + 9 = l for l.
2
Suppose -39*j + 245 - 167 = 0. Solve 4*k - 30 = 2*u, 3*k = -2*u + j*k - 5 for u.
-5
Let t(v) = v**2 - 571*v + 1706. Let r be t(3). Solve 13 = 9*l - 5*l + 5*f, -3*f + 9 = r*l for l.
-3
Let a be (-3)/((((-27)/(-26))/3)/6). Let y = a + 57. Suppose -5*h = -y*h + h. Solve 2*j - 4*u + 12 = h, 3*u - 2 = 4*j + 2 for j.
2
Suppose -6*s - 3 = -x - 4*s, -9 = -3*x + 4*s. Solve 2*l + x*l = -w + 22, -2*w + 3*l = 8 for w.
2
Let r be (-56)/6*78/(-91). Suppose r*i = -77 + 101. Let p = 7 - 4. Solve -2*l - 3 = -5*k + i, -4*k = p*l - 14 for k.
2
Suppose -4 = -3*y + 4*m, 2*y + 14*m - 10*m - 16 = 0. Solve -y*f - f + 5*j - 20 = 0, 4*j - 12 = 2*f for f.
-2
Let y(g) be the second derivative of g**4/12 + 3*g**3 + 10*g**2 + 1211*g. Let i be (2/4)/((-2)/68). Let u be y(i). Solve -4*l - 6 = -u*w, 4 = -5*w + 3*w for l.
-3
Let r be 2/((-16)/96*(-3)/2) + 0. Solve -5*w - r*s = -4*s - 8, -3*w = 3*s - 6 for w.
0
Suppose -u + 5*u = -4*i + 32, u = 3*i - 28. Suppose i*j - 45 + 0 = 0. Let q be (j - -1)/(-3 + (1 - -4)). Solve -2*m - 2*p + 3*p = q, 4*m = -4*p - 24 for m.
-3
Let i(o) = 2*o**2 - 44*o - 53. Let d be i(26). Suppose -24*s + d = 11. Solve -2*a = s*k - k - 21, 0 = -5*a + 5*k for a.
3
Suppose -10 = 911*q - 913*q. Solve -20 = -o + 3*z, 4*o - q*z - 15 = 30 for o.
5
Let g be (4/(-10))/((-1)/30). Let b = -101757 + 101759. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
What is c(r(u))?
162*u**4 + 1764*u**2 + 4802
Let g(q) = 4*q. Let p(y) = 1308761*y. Determine p(g(c)).
5235044*c
Suppose 67*b = 66*b + 2. Let r(p) = -38*p**b - 626 + 626. Let v(i) = i**2. What is v(r(j))?
1444*j**4
Let f(x) = 13*x. Suppose -7*z = -32 + 4. Let s be (6 - (4 - -4))*-1. Let n(c) = -5*c**s + 4*c**2 + z*c**2 + 0*c**2. Give f(n(g)).
39*g**2
Let w(g) = -2*g. Let m(a) = -261*a**2 + 4*a + 73*a**2 + 0*a - 4*a. Determine w(m(d)).
376*d**2
Let j(w) = -24*w**2. Let b(h) = -10*h - 8. Let a(x) = -x - 3. Let s(u) = 3*u + 6. Let y(v) = -5*a(v) - 3*s(v). Let c(t) = 3*b(t) - 8*y(t). Give j(c(o)).
-96*o**2
Let d(n) = 8173*n. Let j(o) = 2*o**2 - 138*o. What is d(j(v))?
16346*v**2 - 1127874*v
Let o(h) = -41*h - 4. Let b(s) = 10*s + 1. Let l(j) = 4*b(j) + o(j). Let k(x) = 10*x**2 + x - x - 40*x**2. Determine l(k(w)).
30*w**2
Let f(t) = -3*t + 9. Let d be (28 + -30)/(2/(-248)). Let n(a) = -254*a**2 + 2 - 2 + d*a**2. Calculate n(f(w)).
-54*w**2 + 324*w - 486
Let q(r) = -211*r + 1. Let x(n) = 5990*n + 6. What is q(x(d))?
-1263890*d - 1265
Let z(t) = 24*t**2. Let q(f) = f**2 - f**2 - 7*f**2 + 14 + 8*f**2 + 3*f. Let l be q(0). Let x(d) = l*d - 24*d + 11*d. Calculate z(x(n)).
24*n**2
Let w(a) be the first derivative of 1/2*a**2 - 24 - 62*a. Let z(s) = -2*s. Give w(z(d)).
-2*d - 62
Let d(g) be the second derivative of g**3/6 + g. Let c(y) = -2639 + 5412 - 2609 - y**2. Give d(c(h)).
-h**2 + 164
Let c(z) = 2*z**2. Let v(x) = -x**3 - 13*x**2 + 19*x + 19. Let j be v(-15). Let y(p) = j*p - 364*p + 182*p. Determine y(c(t)).
4*t**2
Let z(v) = 11*v. Let h(d) be the first derivative of -350*d**2 - 853. What is z(h(u))?
-7700*u
Let z(n) = 2*n. Let i(j) = -894*j**2 + 188*j - 188*j + 3 - 3. Determine i(z(q)).
-3576*q**2
Let x(n) = 40*n**2. Let d(t) = 67*t - 49. Let l be d(11). Let h(f) = -698 - 2*f - l + 1386. What is x(h(p))?
160*p**2
Let w(f) = 31070*f. Let v(n) = -87*n. Calculate w(v(b)).
-2703090*b
Let r(n) = 52*n - 1. Let y(c) = -209*c - 165. Let k(j) = -4*r(j) - y(j). Let s(t) = 2*t. Calculate s(k(b)).
2*b + 338
Let v = 691 + -78. Let a(n) = -n**2 - 1229 + v + 616. Let z(s) = 3*s**2 + 26*s. Determine z(a(d)).
3*d**4 - 26*d**2
Let l(w) = 15087*w. Let g(v) = 7*v**2 + 38*v - 1. Determine g(l(j)).
1593322983*j**2 + 573306*j - 1
Let l(m) = 8*m**2. Let j(u) = 451*u + 0*u + 2 - 1 - 163*u - 127*u. Determine l(j(v)).
207368*v**2 + 2576*v + 8
Let b(n) = 4*n**2. Suppose 0 = -11*l + 7*l + 3*p + 35, 4*l + 2*p = 10. Let u(h) = h - 17*h - 41*h + l*h - 16*h. Determine b(u(c)).
18496*c**2
Let x(t) be the second derivative of t**4/2 + 330*t - 8. Let j(u) be the third derivative of -u**4/24 + u**3/6 - 3*u**2. Calculate j(x(r)).
-6*r**2 + 1
Let z(r) = -57*r**2 + 9*r - 19. Let o(w) = 50*w**2 - 8*w + 17. Let g(l) = -9*o(l) - 8*z(l). Let k(s) = 49*s. What is g(k(b))?
14406*b**2 - 1
Let y(n) = 9823*n**2. Let r(c) = -736*c. Determine y(r(j)).
5321079808*j**2
Let c(i) be the first derivative of -2*i**3/3 + i + 49. Let r(k) = 57*k**2 - 2. Let o(q) = 4*c(q) + 2*r(q). Let p(z) = -z. Calculate p(o(t)).
-106*t**2
Let r(z) = -45*z + 673. Let k(b) = -3*b - 69. Give r(k(a)).
135*a + 3778
Let q(f) = 3*f - 31. Let j(i) be the first derivative of 40 - 19 + 32 - i**2. Determine j(q(u)).
-6*u + 62
Let z be 6744*(15/12 - -4). Let c(m) = z - m - 35406 + 2*m. Let g(u) = 20*u + 6. Let t(l) = 399*l + 119. Let o(x) = 119*g(x) - 6*t(x). Give o(c(d)).
-14*d
Let q(z) = -7*z + 62. Let a(k) = 121669*k + 121665*k - 243333*k. Give a(q(g)).
-7*g + 62
Let q(v) = -16*v. Let r be 23*(-2)/(-8) - 24/32. Let y(h) = r*h - 5*h - 3*h + 4*h. Give q(y(p)).
-16*p
Let p(u) = -54517671*u**2. Let t(j) = 5*j**2. Calculate t(p(y)).
14860882256321205*y**4
Let c(u) = -5*u - 48. Let k(p) = 6*p + 56. Let r(h) = -7*c(h) - 6*k(h). Let t(m) = 349*m**2. Calculate t(r(n)).
349*n**2
Let t(k) = 2*k + 4. Let l(m) = -1649456*m**2 - 3*m. What is t(l(z))?
-3298912*z**2 - 6*z + 4
Let c(j) = -j. Let g(n) = n. Let a(b) = 5*c(b) + 4*g(b). Let s(z) = 26*z. Let i(w) = 19*w. Let t(l) = 5*i(l) - 4*s(l). Give a(t(o)).
9*o
Let a(n) = 67022*n**2 - 235*n - 47. Let w(y) = 2914*y**2 - 10*y - 2. Let b(d) = -4*a(d) + 94*w(d). Let u(i) = 3*i**2. Give b(u(f)).
52452*f**4
Let j(p) = 16*p + 20*p + 22*p - 39*p - 5*p. Let d(y) = 236*y + 4. Give j(d(l)).
3304*l + 56
Let c(h) = 12400*h - 155. Let m(d) = -161*d + 2. Let q(s) = 2*c(s) + 155*m(s). Let o(a) = 5*a + 4*a - 8*a. Give o(q(t)).
-155*t
Let j(f) be the second derivative of -f**3/3 - f - 188. Let y(p) = 2*p. Let r = -11 - -17. Let k(m) = r*y(m) + 5*j(m). Let n(u) = -3*u. Give k(n(w)).
-6*w
Let t(o) = 10*o**2 - o**2 - 24*o**2 + 5*o**2 - 7*o**2. Let m(s) = 1046*s. Calculate t(m(v)).
-18599972*v**2
Let l(n) = -4*n. Let y(j) = -4*j**2 + 22*j - 210. Let c(s) = -s**2 + 4*s - 43. Let b(i) = -11*c(i) + 2*y(i). Calculate l(b(k)).
-12*k**2 - 212
Let l(z) = 613*z**2. Let r(p) = p - 11. Let a(t) = -2*t + 11. Let q(v) = a(v) + r(v). Give l(q(k)).
613*k**2
Let r(g) = 18*g + 7. Let q(u) = -30*u**2 + 7*u - 28. Let v(s) = -45*s**2 + 10*s - 40. Let a(b) = 10*q(b) - 7*v(b). What is a(r(i))?
4860*i**2 + 3780*i + 735
Let m(k) be the first derivative of -k**3 - 1. Suppose -194 = -3*u - 188. Let c(p) = -5*p**2 - 71*p + 7*p**2 + 71*p + 8*p**u. What is c(m(w))?
90*w**4
Let c(p) be the second derivative of -p**3/2 + 3*p. Let z(w) = -26*w**2 + 12*w**2 - 5*w - 6*w + 4*w. Determine c(z(r)).
42*r**2 + 21*r
Let v(t) = -485931*t**2. Let n(g) = -13*g. What is v(n(a))?
-82122339*a**2
Let v(z) be the third derivative of 47*z**4/24 - z**3/3 + 130*z**2 + 15. Let q(o) = -148*o. Give v(q(c)).
-6956*c - 2
Let z(k) = -20*k**2. Let y(j) = 7223244*j**2 + 2. Calculate y(z(o)).
2889297600*o**4 + 2
Let q(s) = 6*s - 5809. Let b(a) = -570*a. What is q(b(y))?
-3420*y - 5809
Let l(i) = 12*i + 102. Let r(v) = 13*v + 137. Let u(m) = 4*l(m) - 3*r(m). Let k(b) = b**2. Give u(k(o)).
9*o**2 - 3
Let l(k) = 2*k. Let s(q) = 2 + 169*q + 432*q + 453*q - 1 - 3. What is s(l(w))?
2108*w - 2
Let j(p) = p + 23 - 2*p**2 - p. Let g(h) = 2567496 - 1283747 - 2*h**2 - 1283749 - 3*h**2. Determine j(g(c)).
-50*c**4 + 23
Let h(m) = -2*m**2. Let q(g) = 8879556*g. Give q(h(l)).
-17759112*l**2
Let u(q) = -2*q. Suppose 0*m - 24 = -2*m + d, 3*m + 3*d = 36. Suppose 3*j + m = 81. Let x(r) = 183 - j*r**2 - 183. Determine u(x(h)).
46*h**2
Let a(t) = 49*t**2. Let d(f) = -f**2. Let u(v) = -2*a(v) - 78*d(v). Let w(k) be the second derivative of k**4/12 + k. What is w(u(i))?
400*i**4
Let h(i) be the second derivative of 0 + 0*i**2 + 177*i + 1/6*i**3. Let n(m) be the first derivative of -2*m**3/3 + 4*m**2 + 1. What is h(n(c))?
-2*c**2 + 8*c
Let a(o) be the third derivative of 777*o**4/4 - 288*o**2 - 4*o. Let v(h) = 2*h**2. What is a(v(n))?
9324*n**2
Let l(g) = 7*g. Suppose -17*u - 6 = 11. Let n(v) = -3*v**2 - 12*v. Let q(f) = f**2 - f. Let m(w) = u*n(w) + 12*q(w). Give m(l(r)).
735*r**2
Let p(r) = 6*r + 35. Let y(h) = 8*h + 104. Give p(y(d)).
48*d + 659
Let m(a) = 8*a - 4. Let l(j) be the first derivative of 14*j**3/3 + 1597. Determine l(m(r)).
896*r**2 - 896*r + 224
Let a(w) = 137*w - 42. Let i(l) = -39*l + 12. Let c(y) = 6*a(y) + 21*i(y). Let x(o) = 4*o**2 + 5 - 2*o**2 - 3*o**2. Give c(x(r)).
-3*r**2 + 15
Let j(o) = -3*o**2 - 161*o + 10. Let g(u) = -6*u**2 - 315*u + 18. Let z(b) = -5*g(b) + 9*j(b). Let y(l) = -l. What is y(z(h))?
-3*h**2 - 126*h
Let p(z) = 2*z - 4. Let r(w) = 1491362*w. What is p(r(o))?
2982724*o - 4
Let u(j) be the first derivative of 0*j + 208 - 27/2*j**2. Let l(s) = 5*s + 0*s - 3*s. What is l(u(a))?
-54*a
Let h(l) = -9*l**2. Let w(c) = -8*c**2 + 15*c**2 + 15*c**2 + 7*c**2 + 10*c**2. Calculate w(h(b)).
3159*b**4
Let q(o) = -o**2. Let r(u) be the second derivative of 122*u + 1/2*u**3 - 11/12*u**4 + 0 + 0*u**2. What is r(q(n))?
-11*n**4 - 3*n**2
Let x(q) = -q**2. Let y(u) = -5727845*u + 2. Determine y(x(v)).
5727845*v**2 + 2
Let i(t) be the first derivative of -t**2/2 + 2. Let y(b) = 19*b + 6. Let o(w) = 17*w + 8. Let d = -565 - -568. Let x(a) = d*o(a) - 4*y(a). What is i(x(j))?
25*j
Let h(c) = c + 1. Let u(r) = 10*r + 6. Let q(b) = 6*h(b) - u(b). Let s(o) = 6*o**2 + 16*o - 15*o - o. Give s(q(p)).
96*p**2
Let u(v) = 5*v. Let r(i) = 3*i**2 + 9*i - 346. Let a(p) = p**2 + 2*p - 90. Let c(f) = -9*a(f) + 2*r(f). Give u(c(b)).
-15*b**2 + 590
Let s(z) = 2*z**2. Let q = -225 - -249. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of x**2 - 9730. What is k(a(t))?
29674*t
Let v(m) = -5*m + 7. Let j(w) = 3*w - 4. Let g(f) = 7*j(f) + 4*v(f). Let x(l) = -l**2 - l**2 - 1204*l + 1204*l + 113 + 9. Determine x(g(u)).
-2*u**2 + 122
Let y(u) = 1326*u**2 - 2858*u**2 + 1525*u**2. Let m(q) = -69*q**2 - 2. Calculate y(m(v)).
-33327*v**4 - 1932*v**2 - 28
Let n(g) = -37*g**2. Let i(l) = -2 + 451724*l - 451730*l - 1. Determine n(i(y)).
-1332*y**2 - 1332*y - 333
Let s(a) = -236*a**2. Let k(w) = -50180*w**2. Calculate k(s(f)).
-2794825280*f**4
Let g(n) = -5*n. Let h(b) = -45772173*b. What is g(h(l))?
228860865*l
Let a(z) = -82*z + 2. Let k(h) = -3582*h**2 - 5*h. Determine a(k(w)).
293724*w**2 + 410*w + 2
Let k(z) = -2*z**2. Let p(i) be the second derivative of -i**3/6 + 972*i**2 + 6*i - 9. Give k(p(u)).
-2*u**2 + 7776*u - 7558272
Let j(d) = -12044529*d**2. Let n(s) = 3*s. Give n(j(f)).
-36133587*f**2
Let j be (-7)/(-21)*(-1 + -8). Let y(t) = 29*t**2 - 3*t. Let f(c) = 58*c**2 - 5*c. Let g(b) = j*f(b) + 5*y(b). Let m(x) = -9 - 31*x + 9 + 32*x. Give g(m(p)).
-29*p**2
Let w(p) = 554126*p. Let d(y) = -y**2 + 13*y. Determine w(d(z)).
-554126*z**2 + 7203638*z
Let d(h) be the first derivative of 23*h**3 - h**2/2 + 363. Let b(j) = -2*j. What is d(b(z))?
276*z**2 + 2*z
Let c(g) = 73277*g - 1. Let x(r) = -549*r. Determine c(x(m)).
-40229073*m - 1
Let a(f) = 9307*f**2 + 6*f - 5. Let c(w) = -8*w. Give a(c(n)).
595648*n**2 - 48*n - 5
Let g(z) = -55*z. Let q be (-456390)/(-16) - (-21)/(-56). Let t(l) = l + q - 28524. Calculate t(g(v)).
-55*v
Let v(d) = -d**2 - 131. Let t(x) = 368126*x. What is t(v(n))?
-368126*n**2 - 48224506
Let r(o) = 121835680*o. Let k(d) = -d. Determine k(r(p)).
-121835680*p
Let m(r) = 7*r**2 - 5. Let x(d) = -3*d**2 + 2. Suppose 0*y - 3*y - 30 = 0. Let w(s) = y*x(s) - 4*m(s). Let z(f) = -176135 - 10*f + 176135. What is z(w(l))?
-20*l**2
Let v(t) be the first derivative of -5*t**3/3 + t + 1066. Let x(i) = 60*i**2. Determine v(x(p)).
-18000*p**4 + 1
Let l(g) = 10*g - 25246 - 15*g + 25242. Let f(k) = 39*k. Determine f(l(h)).
-195*h - 156
Let q(g) = 2537219509*g**2. Let d(h) = -h. Determine q(d(j)).
2537219509*j**2
Let c(f) be the first derivative of 5*f**3/3 + 84*f + 1230. Let o(p) = -2*p**2. Determine o(c(d)).
-50*d**4 - 1680*d**2 - 14112
Let a(r) = 288*r**2 - 583*r**2 + 298*r**2. Let w(x) be the second derivative of 11*x**4/12 - 20*x. Give a(w(o)).
363*o**4
Let f(b) = 5663*b**2 - 4484*b**2 + 1717*b**2 + 10041*b**2. Let p(j) = -j. Calculate p(f(w)).
-12937*w**2
Let p(j) = 218*j**2 + 432*j - 3. Let f(t) = -47*t + 3. Calculate p(f(o)).
481562*o**2 - 81780*o + 3255
Let z(d) be the third derivative of 5*d**4/12 + 34*d**2 - 1. Let y(g) = -1 + 1 - 13*g**2 + 18*g**2. Determine y(z(r)).
500*r**2
Let o(c) = 12*c + 13. Let i(w) = -20*w + 8. Let q(p) = 29*p - 12. Let v(d) = -6*i(d) - 4*q(d). What is o(v(l))?
48*l + 13
Let z(a) = 869*a**2 - 67*a - 17. Let k(q) = 211*q**2 - 17*q - 4. Let d(p) = 17*k(p) - 4*z(p). Let y(m) = -3*m**2. What is d(y(b))?
999*b**4 + 63*b**2
Let i(f) = 5*f. Let m(b) = 12*b - 5. Let o(t) be the third derivative of t**4/4 - t**3/3 - t**2 + 3*t. Let v(n) = -2*m(n) + 5*o(n). Determine v(i(h)).
30*h
Let o be ((168/54)/(-14))/(1/(-9)). Let q(h) = -o*h**2 - 5207 + 5207. Let p(r) = -8*r. What is q(p(z))?
-128*z**2
Let d(a) = a + 12864. Let s(n) = 26*n**2 - 6. Give d(s(p)).
26*p**2 + 12858
Let x(d) = -573*d**2 - 56. Let w(b) = 1240*b. Give w(x(r)).
-710520*r**2 - 69440
Let h(q) = 10*q**2. Let m(l) = 22076986*l. Calculate h(m(j)).
4873933108441960*j**2
Let h(z) = 7*z**2. Let i(l) = -116680*l. Calculate h(i(x)).
95299556800*x**2
Let g(i) = -32*i + 3. Let m(w) = -241790*w. What is g(m(c))?
7737280*c + 3
Let g(d) = d - 66. Let a(k) = 3*k**2 - 280. Let l(o) = 3*o**2 - 240. Let i(c) = 6*a(c) - 7*l(c). Determine g(i(m)).
-3*m**2 - 66
Let f(j) = 3*j. Let s(l) = 408*l**2 + 29018*l. Calculate f(s(n)).
1224*n**2 + 87054*n
Let k(p) be the third derivative of p**4 - 2*p**3/3 - 1394*p**2. Let l(i) = 5*i**2. Give l(k(b)).
2880*b**2 - 960*b + 80
Let o(z) be the third derivative of -z**5/20 + 7*z**2. Let b be (-4)/4 + -1 + (6 - 2). Let q(k) = -2 - 12*k**2 + b. What is o(q(r))?
-432*r**4
Let m(u) = 6*u - 17312. Let h(r) = 123*r. What is h(m(b))?
738*b - 2129376
Let g(w) be the third derivative of 92*w**5/15 + 1394*w**2. Let u(v) = -7*v**2. Give u(g(b)).
-947968*b**4
Let r(m) = 26*m. Let d(j) = 40477*j + 40472*j - 80910*j. Calculate r(d(s)).
1014*s
Let t(h) = -17 + 113 - 69 + 24*h - 27. Let x(b) = -83*b**2 + 2. Determine t(x(w)).
-1992*w**2 + 48
Let z(q) = -131*q**2. Let v(f) = f**2 + 3*f**2 + 7*f**2 - 9*f**2 + f**2. Give v(z(y)).
51483*y**4
Let p(c) = 5640*c. Let w(i) = 441 - 197 + 2*i - 244. Give w(p(x)).
11280*x
Let c(a) be the third derivative of a**4/8 + 168*a**2 + 4*a + 1. Let w(y) = -10595*y**2. Give w(c(b)).
-95355*b**2
Let q(s) = -3*s**2. Let h(m) = 331*m - 1653. Let t be h(5). Let u(f) be the third derivative of -5/24*f**4 + 0*f + 0 + 0*f**3 - 24*f**t. What is u(q(c))?
15*c**2
Let r(i) = 196*i**2. Let s(o) = -80993*o**2. Calculate r(s(q)).
1285733745604*q**4
Let j(k) = -3*k. Let u(o) be the second derivative of -o**7/60 - 8*o**4 + o**3/6 - 3*o - 21. Let f(t) be the third derivative of u(t). Give j(f(n)).
126*n**2
Let z(s) = 5*s + 2. Let u(o) = -7*o - 27666. What is z(u(p))?
-35*p - 138328
Let y(l) = -9*l**2. Let p(s) = -448*s + 846*s - 443*s. Let i(u) = 11*u. Suppose -r + 18 = 2*r. Let f(g) = r*p(g) + 25*i(g). What is y(f(h))?
-225*h**2
Let c(b) be the third derivative of -b**7/1260 - 13*b**4/4 + 120*b**2. Let s(m) be the second derivative of c(m). Let y(a) = -38*a**2. What is y(s(r))?
-152*r**4
Let g(i) be the second derivative of 23*i**4/12 + i. Let t(v) be the second derivative of v**4/4 + 1077*v + 1. Determine g(t(w)).
207*w**4
Let d(p) = 4*p + 235. Let k(o) = -6*o - 329. Let n(h) = -7*d(h) - 5*k(h). Let m(c) = -3822*c. Let a(z) = 98*z. Let f(q) = -196*a(q) - 5*m(q). What is f(n(x))?
-196*x
Let y(p) = 2872*p. Let u(x) = 3144*x. Determine u(y(v)).
9029568*v
Suppose -2*r - 2*v - 2*v = 0, 0 = 5*r + 3*v - 7. Let o be (3/(-1) + r)*-46. Let c(z) = -84*z + 36*z + o*z. Let h(w) = 13*w. Determine c(h(q)).
-26*q
Let k = 99 + -103. Let u(y) = 14*y**2 - 10*y + 5. Let z(w) = -13*w**2 + 8*w - 4. Let n(c) = k*u(c) - 5*z(c). Let g(d) = -5*d. Give n(g(x)).
225*x**2
Let j(g) = -50*g + 1. Let h be j(0). Let c(b) = -h - 4 + 7 - 2 + 3*b. Let i(t) = -57*t**2. What is i(c(f))?
-513*f**2
Let g(j) = 2*j**2. Let w(v) = -61802*v + 659. Determine w(g(i)).
-123604*i**2 + 659
Let p(b) = -47*b - 6. Let t be (-3 + 7/1)*26/4. Let s(y) = -187*y - 26. Let k(i) = t*p(i) - 6*s(i). Let d(o) = -o. Determine d(k(a)).
100*a
Let n(l) = 3*l. Suppose -17*s + 59 - 17 = -26. Let r(b) be the third derivative of 0*b**3 + 0*b + 1/12*b**s + 0 - 9*b**2. Give r(n(d)).
6*d
Let a(d) = d. Let y(s) = 447978*s + 38. Calculate y(a(n)).
447978*n + 38
Let x(y) = 2*y. Let k = -192 + 193. Let f(m) = 16*m + 20*m - 26*m + k. Determine f(x(q)).
20*q + 1
Let j(i) = -844608173*i. Let w(k) = k. Calculate w(j(u)).
-844608173*u
Suppose 31*b = 37*b - 36. Let c(p) = -p - b*p + 11*p - 8*p + 0*p. Let r(x) = 32*x. Give r(c(q)).
-128*q
Let z(h) = h. Let t(s) = -2748*s**2 - 60 + 67 + 0 - 7. Give t(z(o)).
-2748*o**2
Let x = 5896 - 65. Let f(q) = -2913*q + x*q - 2935*q. Let b(l) = 7*l**2 - 6*l - 6. Let y(h) = 6*h**2 - 5*h - 5. Let n(m) = -5*b(m) + 6*y(m). Give n(f(d)).
289*d**2
Let q(r) = -3525*r. Let z(c) = -1116*c**2. What is z(q(v))?
-13866997500*v**2
Let v(y) = -y**2 + 4*y - 2286579. Let f(b) = b**2. Calculate v(f(u)).
-u**4 + 4*u**2 - 2286579
Let x(u) = -740558*u + 740558*u + 2*u**2. Let f(q) = 3 + 1 - 33*q - 2. Calculate x(f(l)).
2178*l**2 - 264*l + 8
Let k(z) = 8*z. Suppose 4*l - 7 = 1. Suppose -l*j = -2 - 2. Let f(x) = -40*x**2 + 26*x**2 + 16*x**j. Calculate f(k(o)).
128*o**2
Let x(y) = 99231*y**2. Let d(z) = 45*z**2. Give x(d(l)).
200942775*l**4
Let j(a) = -6466*a**2 - 17*a. Let x(q) = 848*q. Determine j(x(l)).
-4649726464*l**2 - 14416*l
Let c(q) = -305*q. Let h(i) = 16*i**2 + 10*i**2 - 56*i**2 + 14*i**2 + 15*i**2. What is h(c(w))?
-93025*w**2
Let y(c) = 3*c + 398. Let j(m) = 892*m. Determine j(y(q)).
2676*q + 355016
Let v(p) = 2*p**2 + 284*p. Let a(z) = -z**2 - 578357 + 578357. Determine v(a(h)).
2*h**4 - 284*h**2
Let t(j) = -576*
|
{
"pile_set_name": "DM Mathematics"
}
|
t a(g) = 10*g. Let d(l) be the first derivative of 17*l**2/2 - 48. What is a(d(w))?
170*w
Let r = -13 + 17. Suppose 19 = 5*l - r*f, 3*l = f + 2*f + 9. Let o(z) = -3*z**2 - z**2 + l*z**2 + 0*z**2. Let v(j) = j**2. Determine o(v(h)).
3*h**4
Let y(g) be the first derivative of -3*g**2/2 + 35. Let z(h) = -4*h**2 - 9*h. Let b(j) = 2*j**2 + 4*j. Let f(k) = 9*b(k) + 4*z(k). What is y(f(o))?
-6*o**2
Let p(j) = 21*j - 18. Let w(k) = -36*k + 30. Let t(y) = -5*p(y) - 3*w(y). Let x(l) = l - 2*l + 12*l. Determine x(t(r)).
33*r
Let y(v) = -1692*v**2. Let t(k) = -131*k. What is t(y(c))?
221652*c**2
Let a(f) = -111*f**2 + 26*f**2 + 17*f**2 + 19*f**2 + 25*f**2. Let y(o) = -3*o**2 + 6*o**2 - 2*o**2. What is y(a(h))?
576*h**4
Let p = 7 - 5. Let r(d) = 2*d**2 + 7*d**2 - p*d**2. Let a(o) be the third derivative of o**5/30 + 19*o**2. Give a(r(n)).
98*n**4
Let i(g) = -198*g**2. Let t(k) = -405*k**2. Calculate i(t(n)).
-32476950*n**4
Let z(t) = -73*t**2 - 1741*t. Let b(c) = 2*c. Give b(z(m)).
-146*m**2 - 3482*m
Let x(u) = -5*u**2. Let o(h) = 13*h - 3. Let a(r) = 235*r - 55. Let s(c) = 6*a(c) - 110*o(c). Give s(x(i)).
100*i**2
Let x(b) = 2189*b. Let v(i) = 43*i**2. What is x(v(c))?
94127*c**2
Let b(j) = -8956*j. Let s(x) = -12*x**2 + 2*x. Determine s(b(c)).
-962519232*c**2 - 17912*c
Let y(p) = 6*p - 8. Let k(c) = -c + 1. Let a(j) = 8*k(j) + y(j). Suppose -10*u - 6*u = -576. Let q(z) = 32*z**2 + 35*z - 71*z + u*z. What is q(a(v))?
128*v**2
Let u(c) = 36*c + 9. Let v be u(7). Let q(w) = 25*w**2. Let m(g) = 1624*g**2. Let j(a) = v*q(a) - 4*m(a). Let h(p) = -p**2. Determine j(h(y)).
29*y**4
Let r(v) = 4*v. Let y(f) = 276313*f. What is r(y(z))?
1105252*z
Let x(r) = 17*r**2. Let v(b) be the third derivative of 0*b**3 + 2*b**2 + 0 - 4*b - 1/24*b**4. Determine v(x(y)).
-17*y**2
Let h(c) be the third derivative of c**7/1260 + c**4/4 + 12*c**2. Let g(k) be the second derivative of h(k). Let n(u) = 14*u**2. Determine g(n(w)).
392*w**4
Let p(u) = -151*u + 1. Let w(k) = -6*k. What is w(p(h))?
906*h - 6
Let v(u) = u**3 - 4*u**2 + 6*u - 4. Let i be v(3). Let x(l) = -22*l + 2. Let k(q) = 24*q - 1. Let f(h) = i*x(h) + 4*k(h). Let w(y) = y. Determine w(f(p)).
-14*p + 6
Let y(v) = 5*v. Let a be -2 + (-24)/(-4)*2. Suppose a = 3*x - 2*u - 0*u, 0 = 2*x + 2*u. Let w(r) = -2*r**2 - 2*r**2 + 0*r**x + 5*r**2. Determine w(y(f)).
25*f**2
Let t(m) = 9*m. Let v(g) = -31*g + 7 + 5 - 37*g + 7 + 71*g. Give v(t(x)).
27*x + 19
Let v(l) = 42*l**2. Let y(t) = -2667 + 2*t + 2667. Determine v(y(q)).
168*q**2
Let b(g) = -61*g**2 + 32*g**2 + 42*g**2. Let x(t) = t + 31. What is x(b(d))?
13*d**2 + 31
Let f(j) = 12*j + 1. Let c(t) = 28*t - 2. What is f(c(v))?
336*v - 23
Let v(y) be the first derivative of -y**2/2 - 2. Suppose -4*h + 31 = 3*i, h - 2*i = -6*i + 24. Let a(g) = -456*g + 456*g + h*g**2. Give a(v(t)).
4*t**2
Let r(n) = 33*n + 10. Let j(o) = -31*o - 8. Let h(c) = -5*j(c) - 4*r(c). Let w(d) = 2*d. Give w(h(b)).
46*b
Let a(i) be the first derivative of 262*i**2 + 2*i - 352. Let w(z) = -2*z**2. Give a(w(s)).
-1048*s**2 + 2
Let b(i) = 6*i**2. Let y(j) = 3666*j. Give y(b(r)).
21996*r**2
Let d(m) = 55624*m. Let c(h) = -3*h**2. What is c(d(s))?
-9282088128*s**2
Let k(a) = 9*a - 11. Let o(h) = 675*h. Give k(o(l)).
6075*l - 11
Let f(j) = 5*j**2. Let c(i) = -3623*i. Give c(f(k)).
-18115*k**2
Let v(d) = 2*d. Let w(z) = 25 - 45 + 20 + 441*z**2. Calculate v(w(r)).
882*r**2
Let j(o) = 22*o**2. Let w(u) = 39*u**2 - 25*u**2 - 11*u**2. Calculate j(w(g)).
198*g**4
Let n(t) = 2*t. Let u(i) = 46*i + 2. Let z(p) = 3*p + 51. Let y be z(-16). Let x(c) = 45*c + 3. Let r(m) = y*x(m) - 4*u(m). What is r(n(j))?
-98*j + 1
Let w(b) be the first derivative of -6 + b**2 + 0*b - 7/3*b**3. Let k(n) = 2*n**2. What is w(k(x))?
-28*x**4 + 4*x**2
Let i(k) be the third derivative of k**4/6 - 2498*k**2. Let q(j) = -15*j. Let x(f) = 2*f - 3*f + 0*f. Let g(o) = 2*q(o) - 33*x(o). Give g(i(c)).
12*c
Let h(t) be the second derivative of -t**3/6 - 11*t. Suppose 24 = 8*g - 6*g. Let p(u) = 12 - g + 12*u**2. What is p(h(z))?
12*z**2
Let p(s) = -2*s. Let r(k) be the third derivative of k**5/60 - 7*k**4/4 + 2*k**2 + 3*k. Give r(p(u)).
4*u**2 + 84*u
Let p(w) be the first derivative of -5*w**2/2 - 6*w - 26. Let n(z) = -z**2. Calculate n(p(f)).
-25*f**2 - 60*f - 36
Let b(y) = 2*y**2 + 49. Let l(a) = -18*a**2 - 19*a + 2. Determine l(b(u)).
-72*u**4 - 3566*u**2 - 44147
Let t(f) = 10*f. Let w be 4/3*6/4. Suppose 5*q = 3*y + 3 - 2, 3*q - 3*y + 3 = 0. Let r(d) = -8*d**w + 11*d**q - 2*d**2. Determine t(r(x)).
10*x**2
Let i(q) = -4*q**2. Let l(f) = 20*f + 3 + 15*f + 3*f - 3. Calculate i(l(p)).
-5776*p**2
Let h(p) = 1 - 1 - p**2. Let s(j) = 15*j. Let o be -2 - (0/4)/2. Let r(g) = -4*g. Let b(x) = o*s(x) - 9*r(x). Determine b(h(i)).
-6*i**2
Let t(i) = -i. Let y be (11/(-2))/(4 - 54/12). Let k(n) = y*n**2 - 2*n**2 + n**2 + 7*n**2. Calculate t(k(w)).
-17*w**2
Let u(b) be the third derivative of b**7/630 - 11*b**5/20 + 7*b**2. Let c(g) be the third derivative of u(g). Let p(q) = 3*q**2. Give c(p(o)).
24*o**2
Let o(c) = -3*c**2. Let x(w) = -28971*w. Calculate x(o(z)).
86913*z**2
Let t(y) = 9*y. Let g(v) = -v. Let i(b) = -5*g(b) - t(b). Let k(w) = 14*w**2. Calculate i(k(x)).
-56*x**2
Let d(y) = -4*y**2. Let a(p) be the first derivative of 6*p**2 + 55. Determine a(d(n)).
-48*n**2
Let f(k) = -11*k**2 + 22*k + 6*k - 47*k + 19*k. Let r(u) = 38*u. Determine f(r(x)).
-15884*x**2
Let d(k) = -80310*k. Let f(c) = 38*c. Give d(f(z)).
-3051780*z
Let m(i) = -460*i**2. Let z(g) = 339*g. Determine z(m(w)).
-155940*w**2
Let m(o) = -2*o**2. Let q(y) = -236*y + 2. Let s(b) = -235*b + 3. Let j(n) = 3*q(n) - 2*s(n). What is m(j(w))?
-113288*w**2
Let n(z) = 20*z - 75*z - 34*z + 27*z. Let m(l) = 3*l**2. Determine n(m(x)).
-186*x**2
Let n(u) be the second derivative of u**4/12 - 9*u. Let o(j) be the first derivative of 2*j**3/3 + 3. Calculate o(n(d)).
2*d**4
Let a(n) = 0*n + 0*n + 7*n**2. Let f = -59 + 178. Let x(y) = 119 - 5*y + 6*y - f. What is a(x(i))?
7*i**2
Let q(r) be the second derivative of -16*r**3/3 - r + 16. Let y(m) = 2*m. What is q(y(c))?
-64*c
Let l(h) = 14*h. Let w(u) = 388*u**2 - 15*u. Give l(w(j)).
5432*j**2 - 210*j
Let v(o) = 294*o - 2. Let r(p) be the third derivative of p**4/12 - 211*p**2. Give v(r(x)).
588*x - 2
Let l(q) = 6*q. Suppose 4*p - 644 = -4*r, -3*r - 21*p = -20*p - 481. Suppose 0 = 4*m + 4*a - 652, 2 + 7 = 3*a. Let x(n) = n + m - r. Calculate l(x(s)).
6*s
Let o(m) = -3*m**2. Let i(t) = 26929*t**2 - 4*t. Calculate i(o(v)).
242361*v**4 + 12*v**2
Let q(i) = -3*i**2. Let h(s) = -118*s - 116*s + 235*s. Determine h(q(o)).
-3*o**2
Let k(x) = -2*x. Let c(o) = 4486*o - 4. Give k(c(p)).
-8972*p + 8
Suppose 51*j = 215 + 40. Let k(q) be the second derivative of 0*q**3 + j*q + 0*q**2 + 1/3*q**4 + 0. Let m(g) = -2*g**2. Calculate k(m(h)).
16*h**4
Let b(u) = -3*u. Let k(w) be the third derivative of 7*w**6/720 - 13*w**4/24 - 7*w**2. Let d(i) be the second derivative of k(i). Calculate d(b(s)).
-21*s
Let s(r) = -r**2. Let x(g) = g + 20. Let v(a) = -a - 13. Let c(h) = 8*v(h) + 5*x(h). What is s(c(j))?
-9*j**2 - 24*j - 16
Let g(q) = 1207*q - 374. Let t(f) = -13*f + 4. Let u(p) = 2*g(p) + 187*t(p). Let i(a) = -3*a**2. Give i(u(o)).
-867*o**2
Let h(c) be the third derivative of c**4/6 + 3*c**2. Let o(a) = a**2 - 2*a - 4. Let j(g) = -g**2 + 3*g + 6. Let l(x) = 2*j(x) + 3*o(x). Determine l(h(d)).
16*d**2
Let b(h) = h + 6. Let d(f) = -2*f - 11. Let v(a) = 11*b(a) + 6*d(a). Let g(k) = k - 3. Let z(r) = -2. Let l = 43 - 45. Let t(j) = l*g(j) + 3*z(j). Give t(v(q)).
2*q
Let d(w) = 6*w. Let z(s) = -7*s. Let j(b) = -6*d(b) - 5*z(b). Suppose 2*c - 30 = -c. Let o(l) = -c + 10 + l. Calculate j(o(q)).
-q
Let f(j) be the third derivative of -j**5/30 - j**2. Let m be 1*(-27)/(-9)*(-4)/(-6). Let k(n) = m*n - 10 + 10 - 5*n. Give f(k(t)).
-18*t**2
Let p(k) = -101*k. Let n(l) be the first derivative of l**2 + 294. What is n(p(v))?
-202*v
Let d(p) = -2*p - 148. Let l(n) = 2*n. Give l(d(c)).
-4*c - 296
Let k(s) be the second derivative of -s**4/12 - 2*s - 566. Let f(a) = -1648*a**2. Calculate k(f(r)).
-2715904*r**4
Let s(v) = 45*v - 4*v - 43*v. Let o(y) = 0*y**2 + 2 + 0 - y**2. Let b(j) = 3*j**2 - 7. Let t(x) = 2*b(x) + 7*o(x). What is t(s(g))?
-4*g**2
Let v = 15 - 10. Let k(b) = 9*b + v*b -
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{
"pile_set_name": "DM Mathematics"
}
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