text stringlengths 270 8.19k | meta dict |
|---|---|
Solve 2*l = 2*w - 6, -2*w + 24 = -5*l + 3 for w.
-2
Solve 5*p + 2*b = 16, 13*b = 3*p + 12*b - 14 for p.
4
Solve -5*g + 32 = -3*p + 17, -p = 4*g - 12 for p.
0
Solve 20*d = 2*o + 18*d, 0 = -2*o + 3*d + 4 for o.
-4
Solve -3*r - 21 = 4*k - 25, k - 8 = r for r.
-4
Solve -27 = 3*x - 4*x - 5*b, -b = -4*x + 3 for x.
2
Solve j = p - 2*p, 0 = 5*j - 3*p - 8 for j.
1
Solve 5*v - 4*t + 17 = 0, v + 7*t + 7 = 9*t for v.
-1
Solve 3*y = -r - r - 9, -3*r = -2*y - 6 for r.
0
Solve -d + 0*d - 7 = -q, -3*d - 27 = -5*q for d.
-4
Solve f = -3*v + 7, 2*f + 42 = 5*v + 23 for v.
3
Solve 5*n = -15, -29 = 5*g - 4*n + 7*n for g.
-4
Solve 0 = -4*h + 4*k + 8, -4*k + 9*k = -5*h for h.
1
Solve v = 4, -5*v - 2 + 19 = -3*w for w.
1
Solve u - 3*u = 2*z + 12, z + 18 = -5*u for u.
-3
Solve 5*d + r - 10 = 2*d, -r = 2*d - 8 for d.
2
Solve 5*d - 4*o - 6 = 0, 0 = 3*d - 2*o - 45 + 43 for d.
-2
Solve -4*l - 5*j + 21 = -2*l, -3*j = -5*l + 6 for l.
3
Solve -8*o = -3*o - 20, 5*o = -4*y + 16 for y.
-1
Solve -2*j - 6 = -2*z, -3*z + 4*j - 46 = -56 for z.
2
Solve -2*m = -10 + 2, -4*m = 4*u + 4 for u.
-5
Solve -4*o = -3*f - 5, 5*f + 5 = 2*o + 4*f for o.
5
Solve 2*m + 4 = -0*m, 5*u - 4*m = 28 for u.
4
Solve z - 3*h = -16, h - 2*h = -4 for z.
-4
Solve -48*f + 51*f - 5*g - 19 = 0, 2*f = -5*g - 4 for f.
3
Solve -3*j = 5*x - 13 - 4, -4*j = 5*x - 21 for x.
1
Solve -2*d - 2*k = d - 1, 18 = 2*d - 3*k for d.
3
Solve 5*j = -2*f + 1 + 26, -4*f - 1 = -j for j.
5
Solve -8*d + 24 = -4*d - 4*l, -14 = -2*d + 3*l for d.
4
Solve 3*t + p + 1 = 5*p, 0 = -t - p + 2 for t.
1
Solve -3*f + 18 = 3*c, 32*f + 14 = 2*c + 36*f for c.
5
Solve -98*c - 14 = -96*c + 5*i, c + 3*i = -9 for c.
3
Solve -p = -5*q + 9, -q + 2*p + 3 = -6*q for q.
1
Solve -i - 30 + 50 = 4*w, -w + 5 = -4*i for w.
5
Solve f + 2*m - 4 = 0, 3*m + 2 = -5*f - 6 for f.
-4
Solve -12 = 2*q - 12*s + 14*s, -21 = 5*q - 4*s for q.
-5
Solve 2*j - 5*r = 30, -2*j - r + 3 = -3 for j.
5
Solve -5*i + 46 - 14 = 3*r, 3*r + 2*i - 20 = 0 for r.
4
Solve -4*a + 0*a = -2*w - 22, 2*w + 4*a = 2 for w.
-5
Solve w + 3*n = -n - 19, w - n - 6 = 0 for w.
1
Solve -5*h + 371 = -5*j + 401, 2*j + 5*h + 9 = 0 for j.
3
Solve -2*o + 2*n - 10 = 0, -12*o - 4 = -8*o + 4*n for o.
-3
Solve 5*b = -f + 9 - 31, -2*b - 6 = -f for b.
-4
Solve -10 = 2*m + 2*j, 0 = 41*m - 42*m - 4*j - 14 for m.
-2
Solve -4*i - 2*z = 271 - 297, 5*i - 25 = -z for i.
4
Solve -4*b + 5 = -5*k - 7, k - 12 = -4*b for k.
0
Solve -194*b = -192*b + 12, -18 = -2*r + 2*b for r.
3
Solve 5*t - 2*o + 3*o = 0, 0 = 3*t - o for t.
0
Solve -5*g = -4*b + 30, -5*b + 31*g + 29 = 29*g for b.
5
Solve 7*l - 4*k = 3*l + 8, 5*k + 10 = -2*l for l.
0
Solve m + 5 = 4*w + 15, -14 = -2*m + 5*w for m.
2
Solve 3*o + 5*h = -8, -5*h = -4*o - o + 40 for o.
4
Solve -u + 29 - 36 = j, 4*j + 16 = 0 for u.
-3
Solve 3*o = z - 5, -4*o - 5*z - 18 = -24 for o.
-1
Solve -2*l = 2*o + 4, -4*o - 2 = -3*l + 20 for l.
2
Solve 0 = -0*t - t + x - 3, -x = -1 for t.
-2
Solve a - 4*v - 16 = 0, 0 = -a - 4*v - 12 + 4 for a.
4
Solve 6*h + 4 = 3*h + 5*d, -2*d = 2 for h.
-3
Solve 4*j - r - 417 + 408 = 0, 4*j = -2*r - 6 for j.
1
Solve 0 = 4*d + q - 14 - 6, 2*d + 4*q - 24 = 0 for d.
4
Solve 6*r + 14 = 2*r + 2*z, -z - 17 = 4*r for r.
-4
Solve -11 = d - 2*d - 3*w, -13 = 5*d - 2*w for d.
-1
Solve -4*j + 5*j + 11 = 3*p, 0 = 7*j - p + 37 for j.
-5
Solve -79*o - 15 = -81*o - 5*j, 3*j = -2*o + 13 for o.
5
Solve -4*g + 3*y = 14, 2*g - 5*g - 4*y = 23 for g.
-5
Solve 24*t = 28*t - l + 18, 3*t + 2 = -5*l for t.
-4
Solve 0 + 6 = -i + o, i + o = -4 for i.
-5
Solve -3*u + 4*p - 4 = 0, -5*u + 0 - 44 = 12*p for u.
-4
Solve 2*j + 2 = -2*v + v, 19 = -4*v + 3*j for v.
-4
Solve -4*t = 2*m - 2, 5*m + 5*t = -0*t + 10 for m.
3
Solve -4*v = n - 15, -3*n + 3 = -2*v - 0 for n.
3
Solve -3*m - 37 + 24 = -5*b, 39*b = 5*m + 175 for m.
4
Solve 2*c - 5*h = -4, 5*h = 3*c + 7*h - 13 for c.
3
Solve 5*a = n - 6, -4*a + 2*a = -4*n - 12 for n.
-4
Solve -4*j + 17 = -o - 0*j, 4*j - 7 = -o for o.
-5
Solve 60*a - 7 = -r + 59*a, -4*a + 20 = 0 for r.
2
Solve -2*i + 4*i = 2*v, 3*v - 5*i = -8 for v.
4
Solve 3 = 2*f + a, -8*f = -10*f - 2*a for f.
3
Solve f + 5 = 2*v, 4*f + 2*v + 10 = -0*f for f.
-3
Solve 2*d = 5*o - 19, d = 2*o - 2*d - 1 for o.
5
Solve 0 = -3*v - 2*m + 7, -v + 4*m + 0 + 7 = 0 for v.
3
Solve -y = 2*t + 7, 6*t - 3*t - 3*y - 12 = 0 for t.
-1
Solve -3*s + p = 0, 0 = -3*s + p - 9*p - 27 for s.
-1
Solve -b = 5*r + 30, -r = b - 2*b for b.
-5
Solve 5*t - 3*b - 15 = 9, -9 = -t + 2*b for t.
3
Solve 0 = 3*c + 12, -17*u + 18*u - c = -1 for u.
-5
Solve 3*f + 5*o - 2 - 11 = 0, f + 2*o - 6 = 0 for f.
-4
Solve 4*h - 2*o + 20 = 0, -4*h - o - o = 12 for h.
-4
Solve -4*v + 28 = 4*y, v - 18 = -5*y + 1 for y.
3
Solve 2*j = 3*c - 10, 0 = 3*c - 2*j + 4*j + 10 for c.
0
Solve h = 5*j + 1, 5*j - 7 = 4*h - h for h.
-4
Solve 3*r - 2*r - 4 = 2*b, -5*b = -4*r + 10 for r.
0
Solve -3*k + 14*g = 13*g - 19, 5*g + 5 = -3*k for k.
5
Solve 0 = -2*t - 2*r, -5*t + r - 22 = -4 for t.
-3
Solve 2*q = 2*o - 6, -14*o + 4*q + 26 = -17*o for o.
-2
Solve 4*v - 3*v + 3*m + 12 = 0, 5*m = 2*v - 31 for v.
3
Solve 21*k - 18 = 16*k + a, -6 = 2*a for k.
3
Solve 2*x = j + 1, -3*x - 2*x = 2*j - 7 for x.
1
Solve 0 = -0*m + 3*m - 4*y + 14, 14 = -2*m + 5*y for m.
-2
Solve 2*n - 5*w - 41 = 6*n, -n + 4*w + 16 = 0 for n.
-4
Solve -26 = 3*w - 5*c, -5*w - 2 = -8*w - 2*c for w.
-2
Solve -z + 15 = 4*i, -3*z + 12 = 4*i - 3*i for z.
3
Solve 5*g + 5*n = -35, -4*g + n - 3*n = 22 for g.
-4
Solve l + 3 = -r - 3, 20 = -3*l - 4*r for l.
-4
Solve -5*j = 15, 2*j + 19 - 9 = -2*n for n.
-2
Solve 26 = 3*g - 7*g - 3*u, g + 4*u = -13 for g.
-5
Solve -37 = 5*x + 4*r, 8 = 43*x - 44*x - r for x.
-5
Solve 0 = -3*f - 2 + 8, -4*v + 4*f = -12 for v.
5
Solve -4*v + 16 = -2*r, -3*r - 2*v - 7 - 1 = 0 for r.
-4
Solve -4*x - 2*y = 16, 14*x + 16 = 10*x + 4*y for x.
-4
Solve 4*q = 3*c + c + 12, -4*q - 9 = 3*c for c.
-3
Solve -13*j = -12*j + v - 1, 3*j + 1 = -v for j.
-1
Solve 11 = 2*v + 5*d, 5*d = -4*v + d + 4 for v.
-2
Solve 3*i + 0 + 10 = 2*u, -4*i - 19 = 3*u for i.
-4
Solve 3 = -m, 16 = -4*r - 4*m - 0 for r.
-1
Solve -10 = -5*h, 0 = 19*r - 20*r - 2*h for r.
-4
Solve -2*w - 4*b + 32 = -6*w, 3*w = 2*b - 21 for w.
-5
Solve 4*v - 20 = -3*o, o + 14*v - 9*v - 14 = 0 for o.
4
Solve -z = h - 4*h - 11, 4*z - 5*h = 30 for z.
5
Solve 0*r + 21 = -3*h - 2*r, 3*h = 4*r - 3 for h.
-5
Solve -5*b - 15 = 2*g, 3*b = 4*g - 5 - 4 for g.
0
Solve 2*f - 15 = -5*p + 4*f, 6 = 2*p - 2*f for p.
3
Solve -3*p = -5*j - 17 - 6, 17 = -3*p - 5*j for p.
1
Solve -3*d + 5*d = -4*v + 12, 5*d + 10 = 0 for v.
4
Solve 0 = 4*i - 16, t - 2*t - 5*i = -20 for t.
0
Solve 0 = -w - 2*s - 1, 19 = 5*w - 2*s + 12 for w.
1
Solve 2*q - 5*f - 1 = -10, -5*f + 42 = 9*q for q.
3
Solve -h = -u - 1, -6*h - 11 = -2*h + u for h.
-2
Solve -1 = 2*x - 3*g, 0 = 7*x - 2*x - 5*g + 5 for x.
-2
Solve 10 = -5*c, -18 + 10 = -2*o + c for o.
3
Solve -3 = 2*s + 5*t, -t = 13 - 10 for s.
6
Solve 5*z + u + 20 = -2*u, -3*u = -4*z + 11 for z.
-1
Solve 2*k = -3*o - 6, 0 = 4*o - 0*k - 4*k - 12 for o.
0
Solve 2*n = 109*s - 112*s + 5, -4*n = -s + 25 for s.
5
Solve 2*q + 5*u = 6*u + 1, u = 5*q - 16 for q.
5
Solve 2 = -2*c, -30*c + 29*c + 19 = 4*y for y.
5
Solve 0 = 3*x + 4*b + 24, 2*b - 20 = 2*x + 6*b for x.
-4
Solve q = -3*a + 13, 22*q - 2*a + 20 = 17*q for q.
-2
Solve 0 = 2*l - 5*d + 12, 5 = 3*l - 2*d + 12 for l.
-1
Solve -24*b - 22 = 4*z - 22*b, 3*z + 5*b = -20 for z.
-5
Solve -94*a + 93*a - v + 7 = 0, 0 = a - 4*v + 18 for a.
2
Solve -r + 9 = 2*r - 3*o, -5*r - o - 3 = 0 for r.
0
Solve -5*i + 123 = 3*l + 127, -2*l - 4*i - 4 = 0 for l.
2
Solve 2*k + 2*p - 3 - 1 = 0, 0 = -4*p + 4 for k.
1
Solve f + 8 = 9, -5*d - 23 = 2*f for d.
-5
Solve 6 = 3*k, -3*t + 2 = 9*k - 11*k for t.
2
Solve 5*t + k - 1 - 14 = 0, t = 2*k + 14 for t.
4
Solve -7*t - 14 = -2*t + 3*y, 3*t + y + 10 = 0 for t.
-4
Solve -5*d - 4*m - 50 = m, -35 = 5*d + 2*m for d.
-5
Solve -2*n = -4*a + 12, 0 = 5*n + 2*a + 9 + 9 for n.
-4
Solve 3*z - 4*g - 19 = 0, -z - 5*g = -3*z + 22 for z.
1
Solve 2*w + 0*w = 3*l - 2, -5*w = 5*l + 30 for w.
-4
Solve -5*i + 4*d + 4 = 0, i - 3 = 3*d - 11 for i.
4
Solve 8*a - 10*a = 0, -2*z + 2*a = 4 for z.
-2
Solve -14*j + 19*j = 2*n + 22, 5*n + 3*j = 7 for n.
-1
Solve -54*a = -2*k - 51*a - 18, -4*a = -3*k - 25 for k.
-3
Solve 3*a - 6 = 4*u - 5, u = 5*a + 4 for u.
-1
Solve 14 - 4 = 4*f - 2*s, -2* | {
"pile_set_name": "DM Mathematics"
} |
- k. Let u = -0.5 - v. What is u rounded to four dps?
-0.0011
Let m(n) = -3*n + 2*n + 2 - 3*n**2 + 98749*n**3 + 0*n. Let y = 4 + -6. Let t be m(y). What is t rounded to the nearest one hundred thousand?
-800000
Let o(w) = -5*w + 1. Let y be o(-2). Let u = y + -7. Suppose 4012 = -4*h - 4*r, 2*h - u*r + 515 = -1473. What is h rounded to the nearest one thousand?
-1000
Let u = 9 - 8.73. Let r = 0.65 + u. Round r to 1 decimal place.
0.9
Let c = -1.09 - -0.19. Let o = c - -0.8999925. What is o rounded to 6 dps?
-0.000008
Let a = 882745.90925607 + -882753.412. Let w = 1.50274385 + a. Let c = w - -6. Round c to 7 dps.
-0.0000001
Suppose 2*c = -2*c. Suppose 4*v - 1944645 - 3655415 = c. Suppose -2*z - 8 = -2, 2*j - 5*z = v. What is j rounded to the nearest one million?
1000000
Let f = -17521186 + 37121186. What is f rounded to the nearest 1000000?
20000000
Let q = 1.600004 + -1.6. What is q rounded to six dps?
0.000004
Let f = -28 + 51. Let z = 125 - f. Let w be (z/9)/((-2)/21). What is w rounded to the nearest 10?
-120
Let g = -30419 - -71419. What is g rounded to the nearest ten thousand?
40000
Let j = 3143.2 + -3143.176093. Let b = j - 0.213831. Let c = b + 0.19. Round c to 5 decimal places.
0.00008
Let d = -928308.1031 - -928423.10309937. Let h = -115 + d. What is h rounded to 7 decimal places?
-0.0000006
Let y = -24609.518 - -24575.5179906. Let z = -34 - y. What is z rounded to six decimal places?
0.000009
Let p = -24.728 + 0.028. Let v = 7.3 - p. Let n = v - 31.9999942. What is n rounded to 6 dps?
0.000006
Let r = -4 + 3.5. Let j = -0.3 - r. Let b = j + -0.20001. What is b rounded to five decimal places?
-0.00001
Let t(m) = -436*m. Let r be ((-15)/(-6))/((-1)/(-2)). Let l be t(r). Round l to the nearest one hundred.
-2200
Let v = 27 - 46. Let f = v - -19.000099. Round f to 5 decimal places.
0.0001
Let s = 4.4 + 0.6. Let o = s + -5.007. Round o to three dps.
-0.007
Let n = -6 + -5. Let a = 18 + n. Let j = -6.9999998 + a. What is j rounded to six dps?
0
Let f = -332.087 + 329. Let h = -3.1 - f. Round h to two dps.
-0.01
Suppose -n = 5*f - 14, 2*f - 34 + 5 = -3*n. Suppose 0 = -5*y - 4*s - n, 0*y = -y - s - 1. Let q be y/(10/(-4)) - 212. Round q to the nearest one hundred.
-200
Let x = 285598 + -173629. Suppose 0*i - 4*i = 3*w - 167928, 3*i + x = 2*w. Suppose -g = -3*j + 27985, 0*g - 4*j = -2*g - w. Round g to the nearest ten thousand.
-30000
Let o = -1867.52 - -81386.52. Let b = o + -79519.500005. Let p = 0.5 + b. What is p rounded to six decimal places?
-0.000005
Let w be (1876/35)/(1/25). Suppose -3*l = -l + w. What is l rounded to the nearest 100?
-700
Suppose -r = -209 - 262. Let j = 1 - 1. Suppose j = -5*u - r - 329. Round u to the nearest 100.
-200
Let r = -0.15 - -0.14993. Round r to four dps.
-0.0001
Let j = -2.832 + 3. What is j rounded to 2 dps?
0.17
Let l = 435.22 + -429. Round l to 1 decimal place.
6.2
Let n = 0.33 - 0.422. Let l = 38.9 - 39. Let s = l - n. What is s rounded to 2 dps?
-0.01
Let t = -96252999410339.4 + 96253078174330.9000067. Let c = -78763986 + t. Let n = 5.5 - c. Round n to six decimal places.
-0.000007
Let b = 29.93630308 - 32.536304. Let c = b + 2.6. What is c rounded to 7 decimal places?
-0.0000009
Let k = 869932.15999925 + -869942.16. Let x = 10 + k. Round x to seven dps.
-0.0000008
Suppose -5*d = -4*i + 314980, 4*d - 2*i + 102452 + 149538 = 0. Round d to the nearest ten thousand.
-60000
Let g be (-7499996)/30 - (-30)/(-225). Round g to the nearest one hundred thousand.
-300000
Let v = -0.2 + -17.8. Let s = 17.6 + v. What is s rounded to 0 decimal places?
0
Let b = -36 - -19. Let q = b + 18.8. Let k = q - 1.89. What is k rounded to 2 dps?
-0.09
Let w = -97.9688 + 98. What is w rounded to 3 dps?
0.031
Let g(i) = -85*i + 1. Let q be (-11)/9 - (-22)/99. Let y be g(q). Round y to the nearest 10.
90
Suppose -3*u - 9 = 0, 2*v - 5*v - 36 = 5*u. Let f be v/4 - (-1)/(-4). Let x be (-7)/f*-12 - -1. Round x to the nearest ten.
-40
Let u = 1.6 + -2. Let h = u - -0.8. Let m = h - 0.39999997. Round m to seven dps.
0
Let j = 33 - 32.9981. What is j rounded to 3 decimal places?
0.002
Let z = -10013.44052 - -10033.44. Let w = -20 + z. Round w to 4 decimal places.
-0.0005
Let a = -0.057 + 0.014. Let z = 0.0430054 + a. Round z to 6 decimal places.
0.000005
Let r = 0.091 + -0.0910149. What is r rounded to six dps?
-0.000015
Let k(u) = 2*u**2 - 9*u. Suppose -23 = -4*v + 1. Let x be k(v). What is x rounded to the nearest 10?
20
Let f = 84 - 84.078. What is f rounded to 2 decimal places?
-0.08
Let s = -119077608 - -119077607.39468981. Let g = s + -0.14469105. Let a = g + 0.75. What is a rounded to seven dps?
-0.0000012
Let h = -4.4 + 43.4. Let p = 45.6 - h. Round p to the nearest integer.
7
Let n = 0.068 - 43.068. Let o = 4 + 30.5. Let k = n + o. What is k rounded to the nearest integer?
-9
Suppose -83092 = -5*j + 38408. What is j rounded to the nearest one thousand?
24000
Let v = 0.12 + -7.12. Let s = v - -6.99999989. Round s to 7 decimal places.
-0.0000001
Let r = 105.00000071 + -105. Round r to 7 decimal places.
0.0000007
Let s = -3 - -9. Suppose -3*m - 3*z = 3, s = -3*m + 4*z + 24. Let a = m - 9. What is a rounded to the nearest 10?
-10
Suppose 0 = -s + 27 + 57. Round s to the nearest 10.
80
Let j = -0.05375 + 0.053. What is j rounded to four dps?
-0.0008
Let h = 58 - 91. Let a = 65.1071 - 32.10775. Let k = a + h. What is k rounded to 4 decimal places?
-0.0007
Let t(l) = 5 + 384900*l**2 - 6 - 114901*l**2 - 2*l. Let r be t(-1). Round r to the nearest 100000.
300000
Suppose -3*i = -1583 - 925. Let b = -364 - i. Round b to the nearest one thousand.
-1000
Let m = 0.38 + 15.62. Let c = -4272 + 4287.9955. Let d = c - m. Round d to three dps.
-0.005
Suppose 102 = r + 2*r. Suppose 2*b = -r + 242. Round b to the nearest 10.
100
Suppose -3*q + 3739 = b, -3*b + 8*b = 3*q - 3733. Let d = 8046 - q. What is d rounded to the nearest one thousand?
7000
Let h = 1672 + -92. Let m = h + -1573.995. Let i = m + -6. What is i rounded to three dps?
0.005
Let t = 20.753 - -0.347. Let f = t + -4.1. Let z = -17.000034 + f. Round z to 5 dps.
-0.00003
Let b be (0 + -5)*(-16)/10. Suppose 0 = -4*d + 4 + b. Suppose 5*i + 265015 = -5*z, 0 = 4*z + d*i + 289712 - 77703. Round z to the nearest ten thousand.
-50000
Let u(r) = r**2 + 8*r + 9. Let s be u(-7). Suppose -18 = v + s. What is v rounded to the nearest 10?
-20
Let i = 860.47 - 1016.2. Let a = i + 178.752. Let p = 23 - a. Round p to two decimal places.
-0.02
Let t = -7.966018 - -7.976. Let r = -0.01 + t. Round r to 5 dps.
-0.00002
Let u = 11 + -10.96. Let v = -5.04 + u. Let q = -5.06 - v. What is q rounded to two decimal places?
-0.06
Let a(x) = 110*x**3 + 4*x - 5. Let b be a(5). Suppose 0 = y + 2*d - 7761, -d = 3*y + d - 23291. Let w = b - y. What is w rounded to the nearest ten thousand?
10000
Let q(j) be the second derivative of -6555*j**3/2 + 15*j**2/2 + 6*j. Let k be q(-9). What is k rounded to the nearest 10000?
180000
Let j = -0.93 + 2.63. What is j rounded to zero dps?
2
Let u = -155 + 155.00133. Round u to four dps.
0.0013
Let z(c) = 2*c + 5 + 600001*c**2 - 4 - 4. Let k be z(-3). Suppose 0*i - i - k = 0. Round i to the nearest 1000000.
-5000000
Suppose 0 = 4*a + a. Let t(k) = -k**2 + 52000. Let s be t(a). Round s to the nearest ten thousand.
50000
Suppose 24 = -5*i + i. Let o be 30 + i*4/(-8). What is o rounded to the nearest 10?
30
Suppose -5*p = -2*u - 0*u + 438, 0 = -2*p - 2*u - 164. Let a = 23 + p. Let g be a/(-28)*(-920)/(-3). What is g rounded to the nearest 100?
700
Let t = 13.3 - 13.361. Let x = -0.11 - t. Round x to 2 decimal places.
-0.05
Let b = -894 + 884.98. Let h = b + 1.32. Round h to 0 dps.
-8
Let a = 1795763167.99999941 + -1795763114. Let z = 54.3 - 0.3. Let q = z - a. Round q to seven dps.
0.0000006
Let j be 2 - 0 - (-14 + 12). Suppose f = -j*z - f - 400, 0 = -z - 2*f - 106. Round z to the nearest 10.
-100
Suppose 5*f - 20 + 5 = 0. Suppose 3*v = 3*r + 4*v - 3509998, 4679994 = 4*r + f*v. Round r to the nearest 100000.
1200000
Let c = -5289 + 61289. What is c rounded to the nearest 10000?
60000
Let z = -20 + 22.5. Let t = z + -3.53. Round t to 1 dp.
-1
Suppose 2*k - 2 = -2*f, 0 = f + 3*k + 1. Suppose 0 = f*c + c. Let b be (2 - -5999996) + c - -2. Round b to the nearest one million.
| {
"pile_set_name": "DM Mathematics"
} |
st derivative of u(t) wrt t.
3
Let y be -5*(6/(-3))/2. What is the second derivative of -6*p**y + 28*p - 297*p**4 + 297*p**4 wrt p?
-120*p**3
Let o(p) = 2*p**2 + 30*p + 316. Let d(b) = -b**2 - 31*b - 317. Let n(i) = 3*d(i) + 4*o(i). What is the first derivative of n(h) wrt h?
10*h + 27
Let g(b) be the first derivative of 0*b**2 - 9/7*b**7 + 0*b + 0*b**4 - 17 + 0*b**6 + 0*b**5 + 4/3*b**3. Find the third derivative of g(m) wrt m.
-1080*m**3
Let n be (3/(-108))/((-2)/15). Let o(u) be the third derivative of n*u**4 - 2*u**2 + 0 + 0*u - 1/2*u**3. What is the first derivative of o(h) wrt h?
5
Let m(d) = -14*d - 81. Let p be m(-6). What is the first derivative of 14*v**3 - 6*v**p - 11*v**3 + 12 wrt v?
-9*v**2
Let y(t) be the first derivative of -10*t**3 + t**2/2 + 5*t - 52. What is the second derivative of y(g) wrt g?
-60
Find the second derivative of 2*u**4 + 43*u**2 + 7*u**2 - 146*u - 6*u + 115*u**2 wrt u.
24*u**2 + 330
Let l(u) = 8*u**4 - 2*u**3 - u**2 - 54*u - 1. Let b(a) = -7*a**4 + 3*a**3 + 53*a + 1. Let r(o) = 4*b(o) + 6*l(o). What is the second derivative of r(z) wrt z?
240*z**2 - 12
What is the second derivative of 12 - 53*v + 156*v**3 + 155*v + 46*v**3 - 9 wrt v?
1212*v
Suppose 3*b - 6 = 24. What is the third derivative of -1587 - 37*n**3 + 1576 - b*n**3 + n**2 wrt n?
-282
Let v(b) = 100*b + 66. Let k(r) = -2*r - 1. Let y(a) = -3*k(a) - v(a). What is the derivative of y(g) wrt g?
-94
What is the second derivative of -a - 21*a**2 - 2*a**4 - 5 + 27*a**2 - 39*a**2 wrt a?
-24*a**2 - 66
Suppose -95 = -0*h - 5*h. Find the third derivative of -4 + 3 + h*z**2 - 21*z**4 + 1 wrt z.
-504*z
Let h(a) = -5*a**4 + 2*a**3 + 2*a**2 + 227. Let t(f) = 21*f**4 - 9*f**3 - 9*f**2 - 910. Let m(q) = 9*h(q) + 2*t(q). What is the first derivative of m(i) wrt i?
-12*i**3
Let d = -12 - -59. What is the first derivative of d - 2*a**3 + 17*a**3 + 17*a**3 - 5 wrt a?
96*a**2
Let n(y) be the first derivative of 13*y**6/6 + 4*y**3/3 - 9*y + 7. What is the third derivative of n(w) wrt w?
780*w**2
Let t be 1/((3 + -2)/(20/4)). Find the third derivative of -3*q**6 - 5*q**5 + 3*q**2 + 12*q**6 + t*q**5 wrt q.
1080*q**3
Let q(c) be the second derivative of 265*c**4/12 + 329*c**3/2 - 2*c + 2. Find the second derivative of q(l) wrt l.
530
Let i(v) be the first derivative of -v**8/24 + v**4/4 + 15*v**2/2 - 1. Let x(p) be the second derivative of i(p). What is the second derivative of x(n) wrt n?
-280*n**3
Suppose -3*l = -5*v - 19, -v + 3 = 5. Suppose -4 + 0 = -z. What is the first derivative of -y**4 - 2*y**z - 1 - l + y**4 wrt y?
-8*y**3
What is the second derivative of -13 + 99*c**5 - 10 - 2*c - 19*c**5 - 17*c**5 wrt c?
1260*c**3
Let j(a) = -313*a**3 - 491*a**2 - 2*a + 2. Let l(i) = -1252*i**3 - 1964*i**2 - 9*i + 9. Let u(n) = 18*j(n) - 4*l(n). What is the third derivative of u(p) wrt p?
-3756
Let n be (-25)/5*(-42)/10. What is the second derivative of -26*k**3 + 27*k**4 + 26*k**3 - n*k wrt k?
324*k**2
Let f(h) be the first derivative of -1/2*h**2 + 40 + 8*h. What is the first derivative of f(p) wrt p?
-1
Find the second derivative of -2*a - 8*a**3 - a**3 + 4*a**2 + 4 - 4*a**3 wrt a.
-78*a + 8
Let x(b) be the first derivative of -231*b**4/4 - 70*b**3 + 87. What is the third derivative of x(t) wrt t?
-1386
Let p(l) = 537*l**3 - 418*l**2 + 11. Let a(u) = -179*u**3 + 138*u**2 - 4. Let o(b) = 11*a(b) + 4*p(b). What is the third derivative of o(x) wrt x?
1074
Suppose d - 41 = -5*r, 2*r - d - 15 = -0*r. Suppose -3*k + 39 = 9. Differentiate -r*o**3 - 6 + 6 - k with respect to o.
-24*o**2
Suppose 0 = -13*u + 12*u + 5*u. Suppose 3*h + 40 = 5*z, 0*z = 5*z - 4*h - 45. What is the derivative of s - 5 + u*s - z*s wrt s?
-4
Find the second derivative of -1 - 86*p**3 - 34*p + 7 + 51*p**3 + 35*p wrt p.
-210*p
Let x(d) be the third derivative of -121*d**8/168 - 43*d**4/2 - 163*d**2 + 2*d. Find the second derivative of x(s) wrt s.
-4840*s**3
Let m(q) be the third derivative of 11*q**6/20 + 13*q**3/6 + 13*q**2. What is the first derivative of m(i) wrt i?
198*i**2
Suppose -3*h = -0*d - d + 8, -5*h - 30 = -5*d. Let f(y) be the first derivative of d*y - 2 - 5*y**5 - 1 + 4*y**5. Find the first derivative of f(n) wrt n.
-20*n**3
Let u(g) be the second derivative of -86*g**7/21 + 39*g**3 + 7*g + 11. Find the second derivative of u(y) wrt y.
-3440*y**3
Let h(z) be the third derivative of 125*z**8/112 - 49*z**5/20 - z**3/3 - 2*z**2 - 61*z. Find the third derivative of h(u) wrt u.
22500*u**2
Let y(b) = -b**2 - 8*b + 4. Let c be y(-8). Suppose -c*n = n - w - 34, 3*n = -3*w + 6. Differentiate -13 + 3 + 3 - 3*s**2 + n wrt s.
-6*s
Let t be (-6)/33 - (6 + (-804)/66). Find the second derivative of -6*a + t + 11*a + 2*a**3 - 2*a - 8*a + 6*a**2 wrt a.
12*a + 12
Suppose 0 = -2*i - 2*c - 4, 0 = i + 3*c - 2 + 12. Suppose 15 = f + 4*f. Find the second derivative of -2*u - 3*u**f + 3*u + i*u**3 - u**3 wrt u.
-12*u
Let g(w) be the second derivative of 127*w**4/12 - 31*w**3/3 + 311*w. What is the second derivative of g(a) wrt a?
254
What is the derivative of 11 + 2*r**2 - 4 - 7*r**2 + r**4 + r**4 + r**2 wrt r?
8*r**3 - 8*r
Let i(j) be the second derivative of 0 + 0*j**5 + 2*j**3 - 1/3*j**7 + 0*j**2 - 13*j + 0*j**4 + 0*j**6. Find the second derivative of i(t) wrt t.
-280*t**3
Let z(y) be the third derivative of 39*y**2 + 1/3*y**4 + 0*y + 0 - 4*y**3. Differentiate z(k) wrt k.
8
Let c(b) be the first derivative of 2*b**5/5 - 37*b**4/2 + 140*b - 171. Differentiate c(s) with respect to s.
8*s**3 - 222*s**2
Suppose -7*s + 53 = 18. What is the third derivative of 44*z**3 - s + 5 - 3*z**2 - 6*z**2 wrt z?
264
Let i(t) = -t**3 + t. Let a(j) = -20*j**3 + 35*j**2 - 2*j. Let z = -55 - -57. Let d(x) = z*i(x) + a(x). Find the third derivative of d(l) wrt l.
-132
Let y(s) = 43*s**4 + 3*s**2 - 4. Let w be 7/2 - 13/(-26). Let p(k) = -44*k**4 - 4*k**2 + 3. Let h(m) = w*y(m) + 3*p(m). Differentiate h(b) wrt b.
160*b**3
Let d(o) = 17*o**2 + 6*o - 145. Let f(c) = c**2 - 2. Let i(k) = d(k) - 5*f(k). What is the first derivative of i(w) wrt w?
24*w + 6
Find the third derivative of -2*q**3 - 7*q**2 - 26*q**2 - 32*q**2 wrt q.
-12
What is the second derivative of -3*y - 406 + 177 + 171 - 655*y**2 wrt y?
-1310
Let d(z) be the first derivative of -17*z**4/12 - z**2/2 + 7*z - 26. Let m(j) be the first derivative of d(j). What is the derivative of m(b) wrt b?
-34*b
Let v(b) be the first derivative of 17*b**2/2 - 25*b - 76. What is the derivative of v(c) wrt c?
17
Let l(f) = 2*f**4 - f**2 - f. Let t(k) = -95*k**4 - 3*k**2 + 57*k. Let p(b) = 3*l(b) - t(b). What is the second derivative of p(n) wrt n?
1212*n**2
Let f(l) be the third derivative of -173*l**5/20 + l**4/8 - l**3 + 314*l**2. Find the second derivative of f(q) wrt q.
-1038
Let s(q) be the second derivative of 35*q**4/4 - 51*q**2/2 + q. Differentiate s(w) wrt w.
210*w
Suppose 10*r = 5039 - 1099. Find the second derivative of -r*s**3 + 25*s**4 + 20*s + 394*s**3 wrt s.
300*s**2
Let s(f) be the third derivative of f**6/40 + f**5/30 + 293*f**3/6 - 10*f**2. Find the first derivative of s(g) wrt g.
9*g**2 + 4*g
Let g(k) be the third derivative of k**9/1890 + 7*k**5/60 - 7*k**4/8 - 23*k**2. Let z(u) be the second derivative of g(u). Differentiate z(l) wrt l.
32*l**3
Let f be 1/(5*(-3)/(-14175)). What is the third derivative of 930*a**5 - f*a**5 + 35*a**2 - 7*a**2 wrt a?
-900*a**2
Let p(m) be the first derivative of -5*m**4/4 - m**3 - 35*m + 96. Differentiate p(b) with respect to b.
-15*b**2 - 6*b
What is the third derivative of u**3 - 17*u**4 - 248*u**2 + 62*u**2 - 12*u**4 + 98*u**2 wrt u?
-696*u + 6
What is the first derivative of 22 + 688 + 300*v - 25*v + 17*v wrt v?
292
Find the second derivative of -175 + 383*y**3 + 12*y + 61*y + 175 wrt y.
2298*y
Let k(q) be the third derivative of 8/3*q**3 + 0*q - 6*q**2 - 3/4*q**4 + 0. What is the first derivative of k(t) wrt t?
-18
Let u(o) = 6*o - 9. Let s(x) = -3*x + 4. Let w(n) = -7*s(n) - 3*u(n). Let i be w(1). Find the second derivative of i*c**2 - 16*c + 19*c - 2*c**3 - 2*c**2 wrt c.
-12*c
Suppose -4*o - 28 = -0*o. Let d = o + 11. Find the first derivative of -4 + 2 + 3 - h**d wrt h.
-4*h**3
What is the third derivative of -o**4 - 2*o**3 - 103*o**2 + 25*o**2 - 3*o**3 wrt o?
-24*o - 30
What is the third derivative of -38*i**5 + 154*i**2 + 56*i**4 + 18* | {
"pile_set_name": "DM Mathematics"
} |
en that b(a) = 0.
-1, 1, 3
Let u(w) be the third derivative of w**5/80 + 119*w**4/8 + 14161*w**3/2 + 143*w**2 + w. Factor u(l).
3*(l + 238)**2/4
Let i(d) be the first derivative of 8/7*d + 19 + 5/7*d**2 + 2/21*d**3. Solve i(v) = 0 for v.
-4, -1
Let g(b) be the third derivative of -b**5/150 - 11*b**4/15 - 43*b**3/15 + 31*b**2 - 9*b. Suppose g(s) = 0. What is s?
-43, -1
Let y(c) be the second derivative of c**6/30 + 3*c**5/20 + c**4/6 - 19*c + 3. Factor y(m).
m**2*(m + 1)*(m + 2)
Let x be 21/(-12) - (-1540)/880. Determine s so that 2/5 - 2/5*s**2 + x*s = 0.
-1, 1
Let u(q) be the second derivative of 1/50*q**5 - 1/5*q**3 + 0*q**4 + 2*q + 2/5*q**2 + 0. Suppose u(g) = 0. Calculate g.
-2, 1
Let q(u) = -10*u**4 + 79*u**3 - 52*u**2 - 2. Let l(g) = -9*g**4 + 78*g**3 - 51*g**2 - 3. Let a(b) = 2*l(b) - 3*q(b). Solve a(t) = 0 for t.
0, 3/4, 6
Let x be (-175)/(-147) - 7/21. Factor 0 + 0*k + 3/7*k**3 - x*k**2.
3*k**2*(k - 2)/7
Suppose a + l = 2, l - 14 = -5*a - 3*l. Suppose -a*s + 60 = -s. Factor -8*t**2 - 8*t**4 + s*t**3 - t + 3*t - 2*t**5 + 4*t**5.
2*t*(t - 1)**4
Let w = -262669/2832 + 1/2832. Let b = 95 + w. Solve 0*j + 9/4*j**4 + 3/4*j**5 + 3/4*j**2 + b*j**3 + 0 = 0.
-1, 0
Let g = 2575 + -12874/5. Suppose 1/5*v**4 + 0 + 1/5*v**3 - g*v - 1/5*v**2 = 0. What is v?
-1, 0, 1
Let u = 704 - 1407/2. Suppose 0*z + u*z**4 + 0*z**3 + 1/2 - z**2 = 0. What is z?
-1, 1
Let q = 933 + -387. Determine x so that 537*x**2 - q*x**2 + 6*x - x**3 + 4*x**3 = 0.
0, 1, 2
Let f = 107 + -93. Let l be 5 + f/(-35) + -4. Factor -4/5 + l*g + 1/5*g**2.
(g - 1)*(g + 4)/5
Let n(l) be the second derivative of 1/66*l**4 + 5*l + 0*l**2 + 0 + 0*l**3. Factor n(h).
2*h**2/11
Let g = -136232/221 - -10482/17. Solve -4/13*c**3 + 0 + g*c**4 + 0*c + 2/13*c**5 + 0*c**2 = 0 for c.
-2, 0, 1
Let t(m) be the second derivative of m**6/180 - m**5/24 + 7*m**4/72 - m**3/12 - 12*m - 5. Factor t(v).
v*(v - 3)*(v - 1)**2/6
Let i(z) be the second derivative of 5*z**4/12 + 35*z**3/6 - 45*z**2 + 93*z. Find g, given that i(g) = 0.
-9, 2
Let v be (-201)/(-42)*((-236)/76 + 3). Let x = -1/266 - v. Factor 3*q**3 + 6*q**2 + 4*q + x*q**4 + 0.
q*(q + 2)**3/2
Let g = 327 - 321. Let h(k) be the second derivative of 0*k**3 + 0*k**2 + 0 + 1/15*k**g + 1/6*k**4 - 1/5*k**5 + 4*k. Suppose h(m) = 0. What is m?
0, 1
Let b be 1/7 - (-161658)/(-1078). Let n = b + 150. Determine w, given that -n*w**3 + 0*w**2 + 0*w + 0 = 0.
0
Let z(h) be the third derivative of 1/57*h**3 + 0*h - 19*h**2 + 0*h**4 - 1/570*h**5 + 0. Suppose z(k) = 0. Calculate k.
-1, 1
Suppose -11*i + 3*i = -16. Factor -2*x**5 - 4*x**4 + 0*x + 4*x**i - 400 + 400 + 2*x.
-2*x*(x - 1)*(x + 1)**3
Solve -83/6 + 1/6*g**3 + 167/6*g - 85/6*g**2 = 0 for g.
1, 83
Let j(n) be the third derivative of 2*n**4 + 0*n + 0 + 2/15*n**5 - 2/15*n**6 - 2/105*n**7 - 6*n**3 + 6*n**2. Solve j(r) = 0 for r.
-3, 1
Factor 28 + 29 + 37 - 130*j + 68*j**2 - 2*j**3 - 60*j + 30*j**2.
-2*(j - 47)*(j - 1)**2
Let s = 24621/8 + -24609/8. Let o be (3/30)/(2/5). Determine v, given that -s*v**3 - v**4 - v**2 - o*v**5 + 0 - 1/4*v = 0.
-1, 0
Let a(t) be the second derivative of -t**5/80 + 19*t**4/48 - 33*t**3/8 + 81*t**2/8 - 55*t. Let a(f) = 0. What is f?
1, 9
Let a(m) be the second derivative of -4*m**6/165 - 41*m**5/110 - 71*m**4/33 - 59*m**3/11 - 36*m**2/11 + 97*m - 1. Solve a(w) = 0.
-4, -3, -1/4
Factor 0 - 8/5*r**2 + 8/5*r**3 + 6/5*r**4 + 0*r.
2*r**2*(r + 2)*(3*r - 2)/5
Let x(w) be the third derivative of -w**5/210 + 51*w**4/14 - 7803*w**3/7 - 210*w**2. Factor x(p).
-2*(p - 153)**2/7
Suppose 2*r - g - 5 = -1, -3*r - 3*g = -24. Factor 15*y**2 - 16*y**3 - 11*y**2 + 6*y**3 - 23*y**r + 9*y**4.
-2*y**2*(y + 1)*(7*y - 2)
Let w(r) be the first derivative of r**6/10 - 3*r**5/25 - 3*r**4/10 - 14. Factor w(o).
3*o**3*(o - 2)*(o + 1)/5
Let v be (-3)/(-3)*(-9)/(-3). Suppose 1 = -x - 2*g, -v*x + 2*g - 6*g = -1. Let 2*p + 0*p**3 + 0*p**x - 16*p**2 + 12*p**3 + 2*p = 0. Calculate p.
0, 1/3, 1
Let x(b) be the second derivative of b**7/105 + 4*b**6/15 + 59*b**5/25 + 6*b**4 + 27*b**3/5 - 29*b - 2. Factor x(r).
2*r*(r + 1)**2*(r + 9)**2/5
Let c be (2/(-4))/(4/(-24)). Suppose c*o + 17 = 5*y - 1, 5 = -5*o. Let 0*s + 1/2*s**y + 3/2*s**4 + 0 + 0*s**2 = 0. Calculate s.
-1/3, 0
Let y = 22 - 16. Suppose -n + 1 = -8. Factor 14*h**2 - 3*h**4 + y - 9*h**3 + n*h + 14*h**2 - 31*h**2.
-3*(h - 1)*(h + 1)**2*(h + 2)
Let d(c) be the third derivative of 0*c + 0 + 1/240*c**6 - 3/16*c**4 - 1/40*c**5 + 20*c**2 + 9/4*c**3. Factor d(m).
(m - 3)**2*(m + 3)/2
Let d(a) be the first derivative of a**6/54 - 14*a**5/45 + 23*a**4/18 - 64*a**3/27 + 41*a**2/18 - 10*a/9 + 70. Determine h, given that d(h) = 0.
1, 10
Let r(t) be the first derivative of -t**7/63 + 4*t**6/45 - t**5/6 + t**4/9 - 12*t - 7. Let n(s) be the first derivative of r(s). Factor n(j).
-2*j**2*(j - 2)*(j - 1)**2/3
Let i be -28*(-3)/30 - (-1)/5. Let x(o) be the second derivative of 1/3*o**4 + 0 - 3*o + 32*o**2 + 16/3*o**i. Solve x(g) = 0.
-4
Suppose 2*a = q + 3*q - 42, -2*a + 54 = 4*q. Let i be (-1)/((-20)/q*(-14)/(-10)). Factor 0*c + 0 - i*c**2.
-3*c**2/7
Let q(z) be the third derivative of 0*z**3 - 3*z**2 + 0 - 1/112*z**8 + 0*z + 2/35*z**7 - 1/8*z**6 + 1/10*z**5 + 0*z**4. Factor q(d).
-3*d**2*(d - 2)*(d - 1)**2
Let k(u) be the third derivative of -u**5/15 + 19*u**4/3 - 30*u**2. Factor k(s).
-4*s*(s - 38)
Solve -72 - 17*p**3 - 155*p**3 - 724*p + 26*p**3 - 1840*p**2 + 46*p**3 = 0.
-18, -1/5
Let f(q) be the first derivative of 7*q**6/6 + 16*q**5/5 + q**4 - 14*q**3/3 - 11*q**2/2 - 2*q + 294. Suppose f(p) = 0. Calculate p.
-1, -2/7, 1
Let i be 8 - ((-31416)/(-70))/(-17). Suppose -8/5 + 84/5*g**4 + 12/5*g - i*g**3 + 84/5*g**2 = 0. What is g?
-2/7, 1/3, 1
Let t = -35 - -51. Suppose t = h + 3*h. Factor h*a**3 + 3*a - 4*a**3 + 0*a + 3*a**3 - 6*a**2.
3*a*(a - 1)**2
Let t(r) be the second derivative of -r**5/20 - 46*r**4/3 - 365*r**3/6 - 91*r**2 - 1011*r. Find m such that t(m) = 0.
-182, -1
Let k = 278 + -278. Factor 4/3 - 4/3*a**2 + k*a.
-4*(a - 1)*(a + 1)/3
Let u be ((-2)/(-7))/(56/784). Factor 21/2*o**3 + 0 + 0*o + 18*o**u + 3/2*o**2.
3*o**2*(3*o + 1)*(4*o + 1)/2
Let p(s) be the second derivative of -2/21*s**4 - 2/105*s**5 - 3/2*s**3 - 1/630*s**6 + 0*s**2 - 8*s + 0. Let r(l) be the second derivative of p(l). Factor r(i).
-4*(i + 2)**2/7
Let -1/8*h**4 + 0 + 0*h + 17/8*h**3 + 0*h**2 = 0. Calculate h.
0, 17
Let q(r) be the second derivative of -r**5/80 + r**4/12 + r**3/24 - r**2/2 - 91*r. Factor q(a).
-(a - 4)*(a - 1)*(a + 1)/4
Let g(c) = 3*c**3 - 12*c**2 - 10*c - 2. Let d be g(6). Let x = d - 150. Factor 6/5*v**3 - 3/5*v**5 + 0*v**2 + 3/5*v**x + 0 + 0*v.
-3*v**3*(v - 2)*(v + 1)/5
Let r(b) = b**2 - 4*b - 5. Let c be r(5). Let a be (-3)/(-21) - ((-400)/(-448) - 1). Find h such that 1/4*h**3 + c + 0*h + 1/2*h**2 - a*h**4 = 0.
-1, 0, 2
Let d(s) be the first derivative of -s**5 - 15*s**4/4 + 25*s**3 - 85*s**2/2 + 30*s - 56. Find a, given that d(a) = 0.
-6, 1
Let c(a) be the second derivative of a**4/15 - 2*a**3/3 + 12*a**2/5 - 2*a - 3. Factor c(g).
4*(g - 3)*(g - 2)/5
Let g(c) be the third derivative of -1/6*c**4 + 0*c**3 - c**2 - 1/5*c**6 + 4/15*c**5 + 0*c + 0 + 8/105*c**7 - 1/84*c**8. Factor g(k).
-4*k*(k - 1)**4
Suppose -22 = 90*w - 101*w. Factor -4/15 + 4/15*t**w - 2/15*t**3 + 2/15*t.
-2*(t - 2)*(t - 1)*(t + 1)/15
Let z(i) be the first derivative of i**6/9 + 8*i**5/45 + i**4/18 - 5. Factor z(v).
2*v**3*(v + 1)*(3*v + 1)/9
Let t(n) be the second derivative of -n**6/6 + 7*n**5/4 + 5*n**4/4 - 275*n**3/6 - 125*n**2 + 63*n. Factor t(z).
-5*(z - 5)**2*(z + 1)*(z + 2)
Let t be (-35)/(-91) + (-1360)/(-520). Solve 1/2*s + 0 + 2/3*s**2 + 1/6*s**t = 0 for s.
-3, -1, 0
Let y = -3039 - -3044. Factor 10/11*l**y + 0 + 2/11*l**3 + 4/11*l**2 + 0*l - 16/11*l**4.
2*l**2*(l - 1)**2*(5*l + 2)/11
Let d = -1622 - -1624. Let p = 1603/3 - 494. Find x, given that -p*x**3 - 44/3*x**d - 4/3*x + 0 = 0.
-2/11, 0
Let v = 1 + -6. Let f(m) = 9*m**3 - 15*m**2 + 27*m - 21. Let r(s) = 5*s**3 - 7*s**2 + 13*s - 11. Let t(l) = v*r(l) + 3*f(l). Find j such that t(j) = 0.
1, 2
Factor -38*n**2 - 119*n + 3*n + 102*n**2 - 60*n**2.
4*n*(n - 29)
Let q(p) be the first derivative of -5*p**4/4 - 5*p**3/3 + 5*p**2 + 203. Factor q(h).
-5*h*(h - 1)*(h + 2)
Let l(g) = -5*g**2 - 5*g - 4. Let i be l(-4). Let p = -64 - i. Suppose 2/7*t**2 + 4/7*t | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 156008351.
4133, 37747
What are the prime factors of 174241380?
2, 3, 5, 547, 5309
What are the prime factors of 69902271?
3, 862991
List the prime factors of 2647933370.
2, 5, 163, 1091, 1489
List the prime factors of 300294000.
2, 3, 5, 67, 83
What are the prime factors of 16026738?
2, 3, 7, 13, 149, 197
What are the prime factors of 3081514786?
2, 7, 67, 3285197
List the prime factors of 3778222075.
5, 23, 1213, 5417
What are the prime factors of 47516452?
2, 11879113
List the prime factors of 177974044.
2, 29, 79, 19421
List the prime factors of 31890464.
2, 751, 1327
List the prime factors of 526235200.
2, 5, 328897
What are the prime factors of 82989824?
2, 324179
List the prime factors of 43583020.
2, 5, 13, 167627
List the prime factors of 2141383247.
131, 16346437
List the prime factors of 16191616.
2, 7, 17, 1063
List the prime factors of 255535769.
19, 853, 15767
What are the prime factors of 1500108391?
883, 1698877
List the prime factors of 111235700.
2, 5, 71, 15667
What are the prime factors of 190167321?
3, 17, 733, 5087
What are the prime factors of 86713149?
3, 113, 179, 1429
What are the prime factors of 127645987?
7, 18235141
List the prime factors of 104865475.
5, 11, 13, 29333
List the prime factors of 1301150008.
2, 61, 2666291
List the prime factors of 73373419.
7, 97, 108061
List the prime factors of 133463928.
2, 3, 13, 31, 13799
What are the prime factors of 83248686?
2, 3, 2003, 2309
List the prime factors of 652693840.
2, 5, 31, 263183
List the prime factors of 21186047.
4027, 5261
What are the prime factors of 60496509?
3, 23, 876761
What are the prime factors of 48880906?
2, 24440453
List the prime factors of 350253398.
2, 11, 15920609
List the prime factors of 282829510.
2, 5, 17, 1663703
What are the prime factors of 1711520234?
2, 855760117
List the prime factors of 73158997.
59, 1239983
What are the prime factors of 554203142?
2, 277101571
List the prime factors of 2438682405.
3, 5, 479, 339413
What are the prime factors of 921933850?
2, 5, 2039, 9043
What are the prime factors of 4260789184?
2, 66574831
What are the prime factors of 70256210?
2, 5, 7025621
What are the prime factors of 1120857892?
2, 7, 11, 97, 37517
List the prime factors of 40114746.
2, 3, 7, 53, 6007
What are the prime factors of 300914359?
23, 13083233
What are the prime factors of 148404770?
2, 5, 53, 280009
What are the prime factors of 1907332728?
2, 3, 7, 97, 117043
What are the prime factors of 26327314?
2, 13, 211, 4799
What are the prime factors of 50358877?
29, 277, 6269
What are the prime factors of 1917400644?
2, 3, 59, 383, 2357
What are the prime factors of 461676699?
3, 11, 67, 23201
What are the prime factors of 219645378?
2, 3, 607, 6701
What are the prime factors of 46199738?
2, 13, 1776913
What are the prime factors of 1750057952?
2, 54689311
List the prime factors of 2937418073.
59, 607, 82021
List the prime factors of 660474242.
2, 17, 67217
What are the prime factors of 67530175?
5, 2701207
What are the prime factors of 2758687452?
2, 3, 2837, 27011
List the prime factors of 178085519.
178085519
What are the prime factors of 47751711?
3, 7, 347, 6553
List the prime factors of 68049071.
379, 179549
List the prime factors of 126280404.
2, 3, 359, 3257
List the prime factors of 6739835298.
2, 3, 7, 160472269
List the prime factors of 793977564.
2, 3, 101, 163, 4019
What are the prime factors of 679694672?
2, 42480917
What are the prime factors of 4250638478?
2, 53, 61, 657383
What are the prime factors of 800493202?
2, 2789, 143509
What are the prime factors of 422879231?
422879231
What are the prime factors of 2619754289?
281, 9322969
What are the prime factors of 308998398?
2, 3, 47, 1095739
What are the prime factors of 52094824?
2, 1483, 4391
What are the prime factors of 76102255?
5, 163, 93377
List the prime factors of 384948887.
384948887
List the prime factors of 97832634.
2, 3, 19, 131, 6551
What are the prime factors of 1170443652?
2, 3, 7, 59, 236167
List the prime factors of 146946068.
2, 36736517
What are the prime factors of 360147087?
3, 23, 579947
List the prime factors of 1194236.
2, 298559
List the prime factors of 17311395.
3, 5, 151, 7643
List the prime factors of 114299876.
2, 433, 65993
What are the prime factors of 3836295477?
3, 7, 31, 127, 15467
What are the prime factors of 205402295?
5, 7, 53, 110729
What are the prime factors of 2162783674?
2, 479, 617, 3659
What are the prime factors of 1539905403?
3, 513301801
What are the prime factors of 118316951?
43, 2751557
What are the prime factors of 98294983?
211, 241, 1933
List the prime factors of 27563349.
3, 11, 835253
What are the prime factors of 220158781?
220158781
What are the prime factors of 188330686?
2, 94165343
What are the prime factors of 60149856?
2, 3, 13, 48197
What are the prime factors of 17957017?
13, 691, 1999
List the prime factors of 88867616.
2, 2777113
What are the prime factors of 3653592946?
2, 67, 27265619
List the prime factors of 1485120901.
11, 17, 41, 193703
What are the prime factors of 460438885?
5, 92087777
List the prime factors of 95292607.
95292607
List the prime factors of 6540720808.
2, 817590101
List the prime factors of 2234683309.
19, 137, 858503
List the prime factors of 214699503.
3, 23, 83, 37489
What are the prime factors of 92002441?
223, 412567
What are the prime factors of 78700990?
2, 5, 17, 462947
What are the prime factors of 33572680?
2, 5, 43, 131, 149
List the prime factors of 78175469.
17, 4598557
What are the prime factors of 847776670?
2, 5, 13, 311, 1613
What are the prime factors of 718845430?
2, 5, 19, 509, 7433
List the prime factors of 3101288572.
2, 775322143
What are the prime factors of 377692843?
11, 2237, 15349
List the prime factors of 883780988.
2, 1297, 170351
List the prime factors of 2044415369.
21529, 94961
What are the prime factors of 191910080?
2, 5, 599719
List the prime factors of 517190028.
2, 3, 157, 274517
List the prime factors of 48570038.
2, 11, 461, 4789
List the prime factors of 1164534394.
2, 3833, 151909
What are the prime factors of 3013712647?
11, 31, 71, 124477
List the prime factors of 25971105.
3, 5, 1731407
List the prime factors of 76253242.
2, 13, 31, 89, 1063
What are the prime factors of 1862983059?
3, 7, 88713479
What are the prime factors of 107005105?
5, 79, 270899
List the prime factors of 213538398.
2, 3, 173, 205721
List the prime factors of 313284182.
2, 103, 1051, 1447
List the prime factors of 874741121.
487, 1796183
List the prime factors of 994759718.
2, 497379859
What are the prime factors of 128275352?
2, 29, 719, 769
List the prime factors of 450262108.
2, 359, 313553
What are the prime factors of 2710025513?
13, 157, 1327793
List the prime factors of 3860316634.
2, 37, 2531, 20611
What are the prime factors of 52362827?
11, 61, 73, 1069
What are the prime factors of 55546558?
2, 151, 193, 953
List the prime factors of 254899624.
2, 7, 41, 67, 1657
List the prime factors of 48216775.
5, 19, 83, 1223
List the prime factors of 2817087894.
2, 3, 83, 1885601
What are the prime factors of 3685230031?
7, 89, 5915297
List the prime factors of 117319230.
2, 3, 5, 7, 37, 719
What are the prime factors of 22425885?
3, 5, 37, 13469
What are the prime factors of 1760857933?
2459, 716087
What are the prime factors of 653361530?
2, 5, 281, 232513
What are the prime factors of 44929547?
13, 19, 101, 1801
List the prime factors of 18202617.
3, 419, 1609
List the prime factors of 105978222.
2, 3, 7, 841097
List the prime factors of 2272475.
5, 17, 5347
What are the prime factors of 195663480?
2, 3, 5, 41, 39769
What are the prime factors of 3289019008?
2, 11, 79, 29569
What are the prime factors of 918058499?
191, 4806589
List the prime factors of 57197630.
2, 5, 7, 89, 9181
List the prime factors of 17181030.
2, 3, 5, 269, 2129
What are the prime factors of 110373107?
13, 41, 207079
What are the prime factors of 1107719963?
7, 2099, 75391
List the prime factors of 122465918.
2, 61, 1003819
List the prime factors of 553112875.
5, 7, 233, 2713
List the prime factors of 1219270316.
2, 11, 29, 955541
List the prime factors of 396837395.
5, 37, 2145067
List the prime factors of 92504259.
3, 17, 604603
List the prime factors of 421 | {
"pile_set_name": "DM Mathematics"
} |
n u, -2/7, p?
p
Let y = -1 - -5. Let h = 152 - 151.9. Let n be 30/77 + (-4)/(-22). What is the biggest value in h, y, n?
y
Let f(o) = -o**2 + 12*o + 1. Let w = 18 - 6. Let d be f(w). Suppose 2*y - y = d. Which is the second biggest value? (a) 0.2 (b) y (c) 0.5
c
Let j = 579 + -578.3. What is the smallest value in -0.3, 0.2, j?
-0.3
Suppose -4*l - 5*t + 2 = 11, 3*t + 7 = -2*l. Suppose -3*z - 8 + 17 = 0. Suppose z*n = -0*n + 15. Which is the biggest value? (a) n (b) -4 (c) l
a
Let l = 51 - 56. Let b = -108 + 115.9. Let t = -8 + b. What is the third biggest value in t, -2/15, l?
l
Let y = 2171/3960 - 1/360. Let s = 21.035 - 0.035. Let v = -15 + s. Which is the second smallest value? (a) y (b) -5 (c) v
a
Let h = 0.244 + 18.756. Which is the third smallest value? (a) 10 (b) 1 (c) h
c
Let r = 49.1 + -4.1. Let u = 28 - r. Which is the second smallest value? (a) u (b) 1 (c) -1
c
Let w = 7 + -7.3. Let j = 4 + -3.6. Let c = 1043.8 + -1044. What is the third smallest value in w, j, c?
j
Let u = -3/4 - -5/4. Let k be ((-36)/(-21))/((-9)/(-42)). Which is the second biggest value? (a) u (b) k (c) -3
a
Let f = -1/589 - 1157/12369. Let n = -0.18 - 0.02. Let s = 70/3 + -776/33. Which is the second biggest value? (a) f (b) s (c) n
b
Suppose -4 = 3*b - 1. Let x be -2 + b + (3 - 4). Let d = x + 9. What is the second biggest value in d, 2/7, -0.5?
2/7
Let s = 4006 + -15771/4. Let u = -63 + s. What is the second biggest value in -1/6, u, 2.7?
u
Let n be 45/(-54)*(3/(-10) + 0). Let z be 25/15*8/60. What is the fourth biggest value in 4, z, n, 1/3?
z
Let i = -46.38 - -46. Let s = i + 0.68. Which is the third smallest value? (a) 3 (b) -0.5 (c) s
a
Let m = 8.3 - 8. Suppose 3050*p - 1510*p = 1524*p - 80. Which is the third smallest value? (a) p (b) -0.4 (c) 3 (d) m
d
Let h = -19.1 - -18.7. Which is the second biggest value? (a) 9/11 (b) -3 (c) h
c
Let u = 225 - 230. What is the smallest value in 0, u, -6, 5?
-6
Suppose -5*n + 3*k - 4 = 0, 3*k + 12 = 24*n - 27*n. Which is the second biggest value? (a) -1/36 (b) -0.4 (c) n
b
Let k(q) = -q**2 + 10*q - 13. Let m be k(9). Let l be m/(-10) + (-28847)/(-195). Let t = 147 - l. Which is the biggest value? (a) 5 (b) t (c) 1
a
Let l = 9.01 - 0.01. Let t = l + -12. Let x be 4*1 + -4 + 4. What is the smallest value in t, x, 5?
t
Let o = 120 + -152. Let t = 37 + o. Which is the biggest value? (a) -35 (b) t (c) 0.3
b
Let f = -15.8 - -18. Let q = 7.2 - f. Let s be -2 - (-11)/6 - 0. Which is the biggest value? (a) s (b) q (c) 0
b
Let m = 559 + -3915/7. Which is the smallest value? (a) m (b) -2/75 (c) 1/3
a
Let t = 153 + -154. What is the second biggest value in t, -5, 7?
t
Let v = -18/5 - -74/15. Let d(r) = -54*r - 218. Let m be d(-4). Let b = 0.8 + -1.1. What is the second smallest value in m, b, v?
b
Let g = 44 - 132.5. Let k = g - -89. Let j = -143/4 - -36. Which is the third biggest value? (a) k (b) 2 (c) j
c
Let n = -151 - -45. Let j = 110 + n. Which is the second smallest value? (a) 5 (b) 0.17 (c) j
c
Let k = 89 + -89. Let u = -37/100 + 3/25. Which is the second biggest value? (a) k (b) u (c) -0.9
b
Let w be (3/(-7))/(-3)*3. Let o = -31.3 + -38. Let d = o - -69. What is the second smallest value in d, -1/2, w?
d
Let y = -11 - -15. Let a = 0 - y. Let j be -1*6/a + -2. What is the smallest value in 1/3, -0.3, j?
j
Let i = 143.7 + -144. What is the biggest value in 1, -3, i, 85?
85
Let b = 52.5 + -52. What is the smallest value in 5, b, 2, -9?
-9
Let i = 0.43 - -0.2. Let p = i - 0.83. Which is the biggest value? (a) p (b) -1 (c) 7
c
Let i = -4.951 - -0.051. Let f = i + 19.9. What is the fourth smallest value in -4, -4/5, -1/5, f?
f
Let x = 12.9 - 12.9. What is the fourth biggest value in 15, 3/7, x, 2/21?
x
Let q = 0.5 - 0.1. Let v = 0.1369 + -6.1369. Let p = 5 + -5. Which is the second smallest value? (a) v (b) p (c) q
b
Let v be 22/6 + (-6)/9. Let h = 5/8 + -9/8. What is the third biggest value in h, v, -1?
-1
Suppose 0 = -3*k + 9*k - 756. Let q be (-8)/14*k/(-108). Which is the third biggest value? (a) 0.3 (b) q (c) 2
a
Let y = -5/4 + 3/4. Let w = -0.23 + -3.17. Let m = -0.4 - w. Which is the smallest value? (a) y (b) m (c) -0.01
a
Let m = -7 + 6.7. Let f = 5 - 2. Let t = 19 - 19. What is the smallest value in f, t, m?
m
Let k = 2.312 + -2.712. Which is the third biggest value? (a) 40 (b) 0.2 (c) k
c
Let t = 2/909 - -200/909. Let z = 5.5 + -14. Let p = -8 - z. What is the second smallest value in t, p, 5?
p
Let w = -16 - -20. What is the second smallest value in -1, -33, w?
-1
Let n = 636 - 633. What is the third smallest value in n, 2, 217?
217
Let f = -24.4 + 24. Let i = 120.8 + -121. Which is the third smallest value? (a) -26 (b) f (c) i
c
Suppose -4*y - 19 = -3. Let g be (-6)/((-1)/(y/(-3))). Let q be (-2)/g + 1/(-12). Which is the third biggest value? (a) q (b) 2 (c) -1/4
a
Let w = 136.7 + -138. Which is the second biggest value? (a) 2/5 (b) 2/7 (c) w
b
Let k(u) = 2*u + 24. Let r be k(-11). Suppose 2*t - 5 - 13 = 4*j, 2*j + 10 = r*t. Which is the second biggest value? (a) -3 (b) j (c) -0.4
a
Let t be (10/(-135))/(3/63). Let r = 1/9 - t. What is the second biggest value in 1, 0.4, r?
1
Let v = 15.572 - 0.272. Let y = -15 + v. What is the smallest value in y, 4, -2/5?
-2/5
Let u = 1 - 0.8. Let g = -0.7586 + 0.2586. Which is the biggest value? (a) g (b) -0.1 (c) u
c
Let h be 66/(-11)*2/4. Let n be -3*(-16)/(-15) - h. Which is the smallest value? (a) 5 (b) n (c) -0.6 (d) -1/3
c
Let q = 11.974 - 12. Let w = q - 0.074. What is the second smallest value in 38, -3, w?
w
Let l = -0.13 + -32.87. Let o = -32.7 - l. Which is the second biggest value? (a) 5 (b) 1/8 (c) o
c
Let r = 0.45 + -0.35. Let m = 29/15 + -7/3. What is the smallest value in r, 5, m?
m
Let f = 0.4 - -2.3. Let o = f - 2.69. Which is the third smallest value? (a) 2 (b) 4 (c) o
b
Let a = -0.2189 + -4.7811. Let g = -9 - -6. What is the second biggest value in g, 0.5, a?
g
Let u be 1/4 + 5/(-4). Let w = 2646 - 2597. Which is the third smallest value? (a) 0.4 (b) u (c) w
c
Let z = 1749 - 990. Let q be z/36 - 6/8. Let u = q - 20. Which is the third smallest value? (a) u (b) 5 (c) -0.01
b
Let v = -516 + 510.91. Let g = 0.09 + v. Which is the second biggest value? (a) -3 (b) g (c) 2/9
a
Let f = 34 - 11. Let j = f + -25. What is the third biggest value in j, -8/3, 0.3, 1?
j
Let l = -2.57 + 1.57. Which is the fourth smallest value? (a) -3 (b) -0.2 (c) l (d) -1.1
b
Let u = 311 - 323. Which is the third smallest value? (a) 2/3 (b) 1 (c) u (d) 0
a
Let p(l) = l**2 + 23*l + 31. Let b be p(-21). Let h(k) = k**3 + 14*k**2 + 15*k + 2. Let x be h(b). Let q = -1003/5 + x. What is the biggest value in q, 3, 0?
3
Let h be (-2)/(4 + 11/(-1)). Which is the smallest value? (a) 5 (b) 4 (c) h (d) -16/7
d
Let j = -6.346 - -0.046. Let o = j - -1.3. Which is the fourth biggest value? (a) o (b) -5/4 (c) -2 (d) 2/3
a
Let v = 2605 + -2614. Which is the smallest value? (a) -1/5 (b) 0.1 (c) v (d) -0.04
c
Let z(k) = -k**3 + 6*k**2 + 4*k - 9. Let g be z(7). Let l be (-8)/10*(-50)/g. Which is the second biggest value? (a) l (b) 0.4 (c) 0.02
c
Let f = 0.0147 + 186.9853. What is the third biggest value in 1, f, -0.1?
-0.1
Let g = -3/206 - 50/103. What is the fourth biggest value in 1/6, 3/2, 0, g?
g
Let s = -35.9 - -19. Let u = -16.854 + -0.146. Let q = u - s. Which is the third biggest value? (a) q (b) 10 (c) -1/5
c
Let h = 9 - 5. Suppose 1284 = -100*g - 7*g. Which is the second biggest value? (a) -2 (b) g (c) h
a
Let y be ((-5)/(-39))/((-535)/642). Let f = -1.1 - -0.5. Which is the second smallest value? (a) f (b) y (c) -0.4
c
Suppose 4*k - 3*n - 25 = 0, -5*k - 5*n = -4*k + 11. Which is the second smallest value? (a) -4/5 (b) k (c) -1/4 (d) -2
a
Let h be -11*(-3 - -4)/(-1). Let u = h + -8. Let k be u*(-3)/144*-4. Which is the smallest value? (a) k (b) 5 (c) 1/7
c
Let g = -81.6 + 81.3. Let h = 54/11 + -400/77. Which is the smallest value? (a) h (b) g (c) 13
b
Let g be (3*(-1 + 0))/(30/21). What is the smallest value in 5, -0.1, g?
g
Let h = 0.114 + 2.886. What is the third biggest value in 1, h, 9, -0.3?
1
Let j = -619 + 623.9. Let m = -0.74 - 0.16. Let p = j | {
"pile_set_name": "DM Mathematics"
} |
5*b - 2*u + 4*u, 4 = b + 2*u. Suppose 2*r + 5 = 2*l + 3*r, 2*l - 5*r = 11. Solve -b*y = -l*y - 3 for y.
3
Let i(f) = 54*f + 166. Let w be i(-3). Suppose -6 = -w*u + 58. Solve -2 = 6*b + u for b.
-3
Let q = 2195 - 2167. Solve -q*z + 6*z = 176 for z.
-8
Suppose -5*t = -14 - 26. Let o be 15/2*t/12. Let h be (747/(-81) - -9) + (-4)/(-18). Solve -o*q + 10*q + 15 = h for q.
-3
Let x(h) = -169*h - 2382. Let p be x(-15). Solve -37*j - p = -5 for j.
-4
Suppose -7 - 89 = 8*v. Let t = 44 + v. Let y(q) = -q**3 - q**2 + 12. Let a be y(0). Solve 5*d = a - t for d.
-4
Let k = -8491 - -8496. Solve -54 + 24 = -k*o for o.
6
Let g(d) = -2*d**2 - 10*d - 10. Suppose -6*z - 40 + 10 = 0. Let o be g(z). Let x be 3/(o/(-14) + (-6)/(-21)). Solve 5*n - x*n + 6 = 0 for n.
-3
Suppose 8*u = 7*u + 4. Suppose u*d = 50 - 30. Solve 8*r = 3*r + d for r.
1
Let p(m) = 3*m**2 + 17*m + 9. Let b be p(-6). Let a be 5/b*9*2. Solve a*u = 4*u + 2 for u.
1
Let q = -975 - -984. Solve 21 = -q*l - 6 for l.
-3
Suppose -7 + 22 = -3*d. Let s be ((30/(-12))/(-1))/(d/(-4)). Let l be ((s - 1) + -1)/((-56)/(-56)). Solve l = f + f for f.
0
Let w(i) = -34*i + 21. Let r be w(4). Let u = r - -118. Solve h + u = 4 for h.
1
Suppose 0*j + 4*j - 12 = -5*b, -4*j + 12 = b. Solve c - 20 + 21 = b for c.
-1
Suppose -2*d = -20 - 2. Suppose 5*r = -4*a + 27, 5*a - 26 = -d. Let z(k) = -k**3 + 4*k**2 + 12*k + 7. Let g be z(6). Solve 0 = -g*p + r*p for p.
0
Let q(d) = -52*d + 262. Let a be q(5). Let x(l) = l**3 - 9*l**2 - l + 13. Let p be x(9). Suppose 6 + 2 = p*r. Solve a*j + r = 4 for j.
1
Suppose 4*q + 2 + 2 = 0. Let x(n) = -3*n - 1. Let b be x(q). Suppose -4 = 9*r - 31. Solve -r*a + 20 = b*a for a.
4
Suppose 0 = -53*s + 48*s - 92*s + 26287. Solve 0 = 8*g + s - 271 for g.
0
Suppose 0 = 3*t - 15, -33*t = h - 30*t - 38. Solve 1 = -12*c - h for c.
-2
Suppose 5*l - 8 + 48 = -2*c, c = l + 8. Let p(w) = -94*w - 737. Let b be p(l). Let f(t) = -t**2 - 4*t + 1. Let m be f(-3). Solve -o = m*o - b for o.
3
Let i(t) = 10*t - 67. Let w be i(9). Let z(b) = -b + 26. Let g be z(w). Suppose g*d - 12 = -3*d. Solve -3 = -y + d for y.
5
Let g = 803 + -801. Let f be (2 + (-96)/21)*-7. Let r = f - 14. Solve q - r = g*q for q.
-4
Let v = 323 - 321. Let f(g) = g**2 - 3*g - 3. Let a be f(5). Suppose -21 = -3*s + 4*d, v*s - 5*d - 14 = a. Solve s*n - 7*n = 0 for n.
0
Let i(u) = u**3 - 7*u**2 + 9*u - 25. Let s be i(8). Suppose -107*l - 12 = -s*l. Solve 20 = 8*j - l*j for j.
4
Let k be 40/6 + (-2)/3. Suppose -d = 1 - k. Suppose 0 = -5*q - 10, -10*q + 13 = s - 12*q. Solve 0 = d*u + 1 + s for u.
-2
Suppose 9735*q - 9733*q = 174. Solve 14*u + 115 - q = 0 for u.
-2
Suppose 5*d - 4*i - 23 = 0, 2*d + 12*i - 9*i = 0. Let z = -8 - -13. Let l be z*1 + -5 + 3. Solve -d - l = -2*y for y.
3
Let n = 25779 - 25739. Solve -n*w + 192 = -16*w for w.
8
Let o(j) = j**3 - 12*j**2 + j - 5. Let r be o(12). Suppose -3*g = r - 13. Solve 2*x + 20 = -g*x for x.
-5
Let o(q) = 2*q**3 - 5*q**2 - 117*q + 244. Let a be o(2). Solve -9*x + 39 = -a for x.
5
Let k(o) = -o**3 + 32*o**2 + 5*o - 119. Let d be k(32). Solve -d*v - 21 = -34*v for v.
-3
Let c = 8000 - 7982. Solve c*v - 15*v = 11*v for v.
0
Suppose 39 - 116 = -7*q. Suppose 0 = q*p - 6*p - 35. Suppose -x = -p*x. Solve -c - c + 8 = x for c.
4
Let x(n) = 3*n**3 + 288*n**2 + 283*n - 94. Let l be x(-95). Solve 32*k = -32 + l for k.
2
Suppose 4*h = 12, 4*a - 10*h - 182 = -12*h. Solve 5*d + a = 27*d for d.
2
Let f(t) = t**2 + 2*t - 2. Let z be f(2). Let m(r) = r**2 - 6*r. Let a be m(z). Suppose 1002 + 1310 - 547 = 353*v. Solve a = -7*q + v*q for q.
0
Suppose 15 - 6 = 9*d. Suppose d = 5*j - 4. Solve -g - j = -6 for g.
5
Let g be 6*(-8)/(-30) - (-4)/10. Suppose 35 + 15 = g*k. Suppose -102*q + k = -97*q. Solve q*i - 5 = -15 for i.
-2
Suppose 8*u - 151 = 3*u - n, u - 2*n = 28. Suppose -44 = -7*f - u. Suppose -3*m + 11 = f*g - 4, -4*m = g + 5. Solve -t - 2*t = g for t.
-5
Let f be ((-720)/12)/10 + -1 + 11. Solve f*r = -54 + 50 for r.
-1
Suppose 0 = 4*s - 4*m - 1316, -s = -4*m - 268 - 49. Solve 342*o - s*o = 27 for o.
3
Suppose 3*q - 46 - 8 = 0. Suppose -16*y - 8 = -q*y. Let o be ((-2)/y)/((-1)/8). Solve 0*n = n + o for n.
-4
Let d = -5 - -18. Suppose -5*m + 3*j = -0*m - 64, 2*j - 4 = 0. Suppose -19*u + m*u = -10. Solve u*r - 5 = -d for r.
-4
Suppose 2*a + 5*d = 1150, 22*d - 1698 = -3*a + 19*d. Solve a = -2*l + 564 for l.
2
Suppose 16520 - 60252 = -35*m + 56823. Solve -14 = -m*w + 2871*w for w.
7
Let h(x) = -2*x. Let w(l) = 52. Let v(p) = -2*h(p) - w(p). Let b be v(14). Suppose 3*z - 29 - 31 = -3*y, -4 = -2*y. Solve b*t + z = -2 for t.
-5
Suppose -20 + 353 + 323 = 41*g. Solve -g*s + 1021 = 1069 for s.
-3
Let a = 12941 + -12785. Solve -145*i + a = -171*i for i.
-6
Let v be 4 + -8 + 2 + 3. Let k be ((-3)/2)/(v/(-6)). Suppose 5*x + 4*q - 5 - k = 0, 0 = 5*x - q - 9. Solve x*t = 3*t for t.
0
Let s = -1867 + 1884. Solve 3*y - s*y = 14 for y.
-1
Let q be 0 + 9 - (-65)/(-5). Let b(z) = -70*z - 280. Let a be b(q). Solve 7*l = -a*l + 21 for l.
3
Let h(r) = -1 - 5*r**2 + r**2 - 3*r**2 + 6*r**2 - 9*r. Let q be h(-5). Suppose 5*a - q = 41. Solve -5*c + a = -c for c.
3
Suppose 2245*k - 2418 = 1036*k. Let y = 0 - -1. Solve 3 + y = k*z for z.
2
Let v(u) = u**3 + 7*u**2 + 2*u - 15. Let m be (-17 - -6) + (-10)/(-2). Let o be v(m). Solve -o = 8*n - 5*n for n.
-3
Let h be ((-6)/(-5))/((-4)/(-10)). Let v = 2220 + -2216. Suppose 0*w - 8 = -v*w - h*x, -12 = 3*x. Solve 3*c - w*c = -10 for c.
5
Let k be 352/28*1 - 4/7. Suppose -40 = -4*i - 3*m, -6 - 17 = -i - 4*m. Suppose -k*t + 5 = -i*t. Solve -2*w - t = -w for w.
-1
Suppose 5*a - 11 - 9 = 0. Let u(q) be the second derivative of q**4/12 - 2*q**3/3 - 17*q**2/2 + 38*q. Let m be u(7). Solve -m*b - 24 = -a for b.
-5
Suppose 3*n = -3*d + 20 + 466, -484 = -3*n - 4*d. Solve -54 = -n*f + 173*f for f.
-6
Suppose -173*r + 2676 = -784. Solve -r*c = -17*c + 18 for c.
-6
Let h(i) = 4*i**2 - 7*i - 7. Let u be (-3 - (0 - 1)) + 5. Let x be h(u). Solve -9 = x*d - 5*d for d.
-3
Suppose 5*r = -2*m + 240, -2*m + 240 = -0*m - 3*r. Let g = m + -118. Suppose -3*i - 4*f + 77 = 0, 116 = 4*i + 4*f - g*f. Solve 6 = -5*l + i for l.
5
Let k be (20/(-6))/(-2) + 184/12. Solve 0 = -12*d + k*d for d.
0
Let w be 0/((-35)/5 + 6). Suppose -24*c + 22*c + 10 = w. Solve 0 = -c*b - 21 + 6 for b.
-3
Let g(h) = 7*h**3 - 4*h**2 - 4*h - 1. Let j be g(2). Suppose 0 = 4*m + v - 24, -v + j = m + 4*m. Solve 28 = -m*o - 7 for o.
-5
Let v(g) = 3*g**2 - 43*g - 356. Let n be v(-6). Solve 0 = -n*i - 6*i for i.
0
Let t = 51 - 49. Suppose 0 = 4*y + t*m - 12, 0*m = -4*y + 4*m + 24. Let q be -1 - (-15)/20 - (-9)/y. Solve 0 = 2*j + q*j - 16 for j.
4
Suppose c + 590 = k + k, -1172 = -4*k - 2*c. Let n = -187 + k. Suppose m - n + 72 = 0. Solve 5*s + m = 15 for s.
-4
Suppose 0 = 5*s - f + 1029, 2*s - 5*f = s - 225. Let b = -205 - s. Solve -2*v + 4*v - 8 = b for v.
4
Let a be (-13 - -9) + 10/3 - 6/(-9). Solve a = -u + 6*u - 15 for u.
3
Suppose -g - 19 = 5*y - 127, 4*y - 94 = 3*g. Let w = y + 14. Solve -32 = -4*t - w for t.
-1
Let m(d) = -d**2 - 12*d + 6. Let v be m(-11). Suppose 0 = -4*o + 7 + v. Let i be (-714)/(-28)*2/3 - 5. Solve o*x + i = 3*x for x.
-4
Let w(f) = -6*f**2 - 35*f - 6. Let y be w(-5). Let p(c) = c - 8. Let s be p(y). Solve 4*d + s = -5 for d.
-4
Let z be (-27)/(-4) + (-15)/(-60). Let j(g) = -g**3 + 9*g**2 - 10*g - 1. Let f be j(z). Suppose 3*m + 5*k = 5*m - f, -2*k = 4*m + 6. Solve 3*u = 4*u + m for u.
-1
Suppose -5*o + 14 = 3*w, 4*w - 3*o = 2*o + 7. Let k be 3 + (-5 - (4 - 15)). Solve -2*g = -k + w for g.
3
Let s be (-1)/(-3) - (4 - 2050/15). Let t = s - 130. Solve -10*k + 11*k = -t for k.
-3
Let j(a) = a**3 + 10*a**2 - 3*a + 13. Let m be j(-10). Let w = 42 - m. Let x be (w - (-3 - -1))*7. Solve -4*z - 3 = -x for z.
1
Suppose 23*k + 51 - 299 = 166. Solve -k = 11*x - 17*x for x.
3
Let k(a) = -a**3 + 5*a**2 + 351*a - 1410. Let y be k(4). Solve -61 = y*v - 1 for v.
-6
Let p be (-3 + 13 - 4)*3/6. Let s be (1300/1690)/((-2)/(-13)). Solve 0 = -2*i + p*i - s for i.
5
Let h = 1586 - 1382. Solve -54*s - h = -3*s for s.
-4
Suppose -g - 9*g - 10 = 0. Let l be (1/2)/(g/12). Let m be (2 - -1)/(l/(-24)). Solve 5*t - 2*t + m = 0 for t.
-4
Let i(x) = -29*x - 1009. Let g be i(-35). Solve 55 = g*b + 19 for b.
6
Suppose 3*a = -3*r - 3, -4*a + 0*r - r = 1. Let | {
"pile_set_name": "DM Mathematics"
} |
+ 4*y**2. What is s in t(s) = 0?
-1, 4
Let h(u) be the first derivative of 10 - 1/5*u**2 - 4/5*u + 1/10*u**4 + 4/15*u**3. Factor h(l).
2*(l - 1)*(l + 1)*(l + 2)/5
Let g(f) be the third derivative of -f**6/120 - f**5/60 + f**4/12 - f**2 - 16*f. Factor g(d).
-d*(d - 1)*(d + 2)
Suppose -5*l - 6 = -5*u - 4*l, -3*u = -l - 2. Determine b, given that 1/2 + b + 1/2*b**u = 0.
-1
Let k(i) be the first derivative of -15*i**4/4 - 5*i**3/3 + 15*i**2/2 + 5*i - 12. Determine w, given that k(w) = 0.
-1, -1/3, 1
Let 5/2*v**2 - 10*v**4 - 5/4*v**3 - 25/4*v**5 + 0*v + 0 = 0. What is v?
-1, 0, 2/5
Let s(p) be the first derivative of -1 - 7/11*p**2 - 4/11*p + 7/22*p**4 + 4/33*p**3. Let s(u) = 0. What is u?
-1, -2/7, 1
Let c(z) = 4*z**2 - 8*z - 14. Let l(v) = v + 2. Let f be l(4). Let b(a) = -a**2 + 1. Let s(x) = f*b(x) + c(x). Factor s(p).
-2*(p + 2)**2
Let b = -677 - -4743/7. Let 6/7*y + b - 2/7*y**3 + 0*y**2 = 0. Calculate y.
-1, 2
Let i(v) be the third derivative of v**5/40 + v**4/4 + v**3 - 3*v**2. Let i(f) = 0. Calculate f.
-2
Let f = 93 + -88. Let g(u) be the second derivative of 7/9*u**3 - 1/6*u**4 - 7/30*u**f + 0 - 2/3*u**2 + 1/9*u**6 - 4*u. Solve g(a) = 0 for a.
-1, 2/5, 1
Let n(l) be the first derivative of l**4 - 32. Factor n(u).
4*u**3
Determine o, given that -18*o + 5*o**3 - 11*o**3 + 3*o**3 - 15*o**2 = 0.
-3, -2, 0
Let b(r) be the first derivative of 3*r**5/5 + 3*r**4/2 - 3*r**3 + 12. Suppose b(j) = 0. Calculate j.
-3, 0, 1
Let v(w) be the second derivative of w**7/336 - w**6/40 + 3*w**5/40 - w**4/12 + 42*w. Factor v(l).
l**2*(l - 2)**3/8
Let w(k) = 6*k**4 + 4*k**3 - k**2 + 5*k. Let z = 10 - 1. Let o be 3/2 - z/2. Let x(g) = g**4 - g**2 + g. Let u(r) = o*w(r) + 15*x(r). Factor u(p).
-3*p**2*(p + 2)**2
Let s(q) be the third derivative of 1/30*q**6 - 4*q**2 + 0*q - 5/6*q**4 + 0 - 2*q**3 - 1/15*q**5. Factor s(t).
4*(t - 3)*(t + 1)**2
Factor -9*c**3 - 8 - 8*c**3 + 9*c**3 + 3*c**2 + 3*c**2 + 2*c**4 + 8*c.
2*(c - 2)**2*(c - 1)*(c + 1)
Let r = 6733/51 + -132. Let m = r + 199/255. Factor -2/5 + m*s - 2/5*s**2.
-2*(s - 1)**2/5
Let o = -14/15 - -26/15. What is w in o + 2/5*w**2 - 6/5*w = 0?
1, 2
Let j(t) = -t + 10. Let k be j(6). Suppose 0*r + 4 = r. Factor 2*l + 3*l**k + l**2 - l - r*l**3 - l**3.
l*(l - 1)**2*(3*l + 1)
Determine y so that 6*y**4 - 3*y**4 + 4*y**4 + 5*y**3 - 5*y - 2*y**4 - 5*y**2 = 0.
-1, 0, 1
Let h = -239/115440 - -3/481. Let s(y) be the third derivative of 0*y - 1/48*y**4 + 2*y**2 - h*y**5 - 1/24*y**3 + 0. Factor s(a).
-(a + 1)**2/4
Let i(n) be the third derivative of 7*n**5/60 + 3*n**4/8 + n**3/3 - 7*n**2. Factor i(m).
(m + 1)*(7*m + 2)
Let g(v) be the second derivative of -v**5 + 8*v**4/3 + 8*v**3/3 + 7*v. Determine w, given that g(w) = 0.
-2/5, 0, 2
Let h(k) be the third derivative of -k**8/504 + k**6/90 - k**4/36 - 12*k**2. What is a in h(a) = 0?
-1, 0, 1
Let d(x) be the third derivative of -5*x**7/147 - x**6/14 + 11*x**5/210 + x**4/7 - 4*x**3/21 - 6*x**2. Factor d(g).
-2*(g + 1)**2*(5*g - 2)**2/7
Let z be -2*(-3)/(-4)*-2. Suppose -z = -r - 1. Suppose 0*t - 2*t + 8*t**4 - 16*t**r + 17*t**4 - 5*t**3 - 2*t = 0. What is t?
-2/5, 0, 1
Find x such that -3/5*x**5 + 6/5*x**4 - 39/5*x - 12/5*x**2 + 18/5*x**3 - 18/5 = 0.
-1, 2, 3
Let r be 1 - (-1)/((-4 - 0)/(-4)). Factor -1/2*g**3 + g**r - 1/2*g + 0.
-g*(g - 1)**2/2
Let u(a) be the second derivative of 2*a**2 + 1/12*a**4 + 1/30*a**5 + 0*a**3 + 0 - 2*a. Let d(q) be the first derivative of u(q). Factor d(m).
2*m*(m + 1)
Suppose 3 = t + 1. Let o(i) be the second derivative of i**t + 1/2*i**4 - 1/10*i**5 + 2*i - i**3 + 0. Factor o(w).
-2*(w - 1)**3
Suppose -u = -3*q + 7*q - 6, -2*q = -2. Factor 0 - 1/4*s**u + 0*s + 1/4*s**3.
s**2*(s - 1)/4
Let z(a) be the second derivative of a**6/285 + 2*a**5/95 + a**4/114 - 2*a**3/19 + 18*a. Factor z(n).
2*n*(n - 1)*(n + 2)*(n + 3)/19
Let k(p) be the third derivative of p**9/302400 + p**8/33600 + p**7/8400 + p**6/3600 + p**5/10 - 6*p**2. Let l(z) be the third derivative of k(z). Factor l(a).
(a + 1)**3/5
Find u such that -64/7*u**2 + 18/7*u**5 + 48/7*u**4 + 32/7*u - 16/7*u**3 + 0 = 0.
-2, 0, 2/3
Let d(w) = 2*w**3 - 5*w + 5. Let n be d(4). What is x in -113*x + 2*x**4 + n*x = 0?
0
Suppose 0 = 3*n + 4*v + 17 - 7, -5*v - 20 = 0. Suppose 2*b = 2*h - 14, -2*h + 0*b + 4*b + 22 = 0. Determine d, given that -2*d + 7*d**n - 11 + 11 - 5*d**h = 0.
0, 2/5, 1
Factor 1/2 + 9/4*f**3 + 1/2*f**4 + 9/4*f + 7/2*f**2.
(f + 1)**2*(f + 2)*(2*f + 1)/4
Let l(d) = 6 - 2*d**2 - 1 - 3*d**2. Let q(c) be the first derivative of 4*c**3/3 - 4*c + 7. Let k(r) = -5*l(r) - 6*q(r). Factor k(z).
(z - 1)*(z + 1)
Let c(m) = m + 8. Let y(v) = -5*v. Let p be y(1). Let r be c(p). Solve 1 + 2 + w**5 - w**3 + 3 + r*w**4 - 7*w**2 - 2 = 0 for w.
-2, -1, 1
Let m be 158/(-6) + -2 + -1. Let f = m - -30. Suppose f*s**5 + 0*s**2 + 2/3*s**3 + 0*s + 0 + 4/3*s**4 = 0. What is s?
-1, 0
Determine h so that 8*h**3 + 6*h + h - 2*h**4 - 3*h - 10*h**2 = 0.
0, 1, 2
Find z such that -2/7*z**5 + 2/7*z**3 - 4/7*z**2 + 0 + 4/7*z**4 + 0*z = 0.
-1, 0, 1, 2
Let r(j) = -8*j**2 - 12*j + 12. Let o(b) = 7*b**2 + 12*b - 13. Let k(i) = 4*o(i) + 3*r(i). Factor k(c).
4*(c - 1)*(c + 4)
Let t(r) be the first derivative of 7*r**6/18 + 11*r**5/5 + 8*r**4/3 - 40*r**3/9 - 8*r**2 + 16*r/3 + 31. Factor t(n).
(n - 1)*(n + 2)**3*(7*n - 2)/3
Let o be (4/18)/((-2)/6 - -1). Suppose o*s**2 + 0 + 1/3*s = 0. What is s?
-1, 0
Let b = 1127/3 - 375. Factor -l + 1/3*l**2 + b.
(l - 2)*(l - 1)/3
Let n(h) = -1. Let q be (4 - 14/5)*-10. Let y(k) = 4*k**2 + 2*k - 18. Let i(f) = q*n(f) + y(f). Factor i(v).
2*(v - 1)*(2*v + 3)
Suppose 2*k - z + 0 = 3, k - 2*z = 6. Let y(t) be the third derivative of 0 - t**2 - 7/90*t**5 - 1/4*t**4 + k*t - 2/9*t**3. Let y(b) = 0. Calculate b.
-1, -2/7
Suppose 3*r + 4*y - 2*y = 23, -4*r = 5*y - 40. Suppose r*j - j - 48 = 0. Solve -3/2*z**3 - 9*z**2 - j - 18*z = 0.
-2
Let t(f) = -f**4 - f**3 - 5*f**2 + 7. Let d(j) = -3*j**2 + 3. Let c be (-32)/(-10) + (-2)/10. Let u(y) = c*t(y) - 7*d(y). Factor u(l).
-3*l**2*(l - 1)*(l + 2)
Suppose -5*z + 4 = -11. What is a in 3*a - 4*a**2 - 2/3 + 5/3*a**z = 0?
2/5, 1
Factor -4/9*p - 2/9*p**4 + 2/9*p**2 + 0 + 4/9*p**3.
-2*p*(p - 2)*(p - 1)*(p + 1)/9
Let v(a) be the third derivative of -a**6/30 + a**5/5 + 6*a**2. Factor v(y).
-4*y**2*(y - 3)
Let t(p) be the second derivative of p**5/240 + p**4/48 + p**3/24 + p**2 + 4*p. Let w(i) be the first derivative of t(i). Find y such that w(y) = 0.
-1
Let i(x) = -9*x**2 - 19*x - 31. Let q be ((-105)/(-6))/(-7)*-2. Let v(s) = 14*s**2 + 28*s + 46. Let y(t) = q*v(t) + 8*i(t). Factor y(p).
-2*(p + 3)**2
Let o = 8 - 4. Factor 2*h**o - 3*h - 4*h**4 - 4*h**3 + h - 5*h**2 + h**4.
-h*(h + 1)**2*(h + 2)
Let i(u) = 4*u**4 - 3*u**3 - 5*u - 5. Let c(x) = x**3 - x - 1. Let y(o) = 5*c(o) - i(o). Let y(g) = 0. What is g?
0, 2
Let z(b) be the second derivative of 0 + 0*b**2 + 2*b + 1/120*b**6 + 1/24*b**3 + 3/80*b**5 + 1/16*b**4. Determine x, given that z(x) = 0.
-1, 0
Let i(y) = 8*y**4 + 4*y**3 - 8*y**2 + 8*y. Suppose 5*g + 41 = 11. Let d(j) = 7*j**4 + 3*j**3 - 7*j**2 + 7*j. Let m(h) = g*d(h) + 5*i(h). Factor m(b).
-2*b*(b - 1)**2*(b + 1)
Let z = -4 - -6. Factor -2*f**3 - 8 + 6*f + z + 2 + 0*f**3.
-2*(f - 1)**2*(f + 2)
Find b such that 16/3*b**3 + 6*b**2 - 10/3*b**4 - 8/3 - 16/3*b = 0.
-1, -2/5, 1, 2
Let q(y) = y**2 - 4*y. Let u = 6 - 10. Let c(l) = -1. Let d(r) = u*q(r) + 12*c(r). Factor d(v).
-4*(v - 3)*(v - 1)
Let y(t) be the first derivative of 0*t**2 + 1/6*t**3 + t + 3 - 1/24*t**4 - 1/40*t**5. Let g(r) be the first derivative of y(r). Factor g(p).
-p*(p - 1)*(p + 2)/2
Let s(w) = w**3 - 5*w**2 - 4*w - 5. Let g be s(6). Let j(x) = -x**3 + 8*x**2 - 7*x. Let i be j(g). Factor i*o + 1/4*o**3 - 1/4*o**2 + 0.
o**2*(o - 1)/4
Factor -1 - 1 + 4*a**2 + 8*a**2 + 6 - 16*a.
4*(a - 1)*(3*a - 1)
Let i be (50/20)/((-1)/(-2)). Suppose -16 - 5*m**2 - 8*m - m**2 + i*m**2 = 0. What is m?
-4
Suppose 4*v - v = 9. Determine c so that -6 + 3*c**v - 3*c**2 - 65*c + 50*c - 3 = 0.
-1, 3
Determine v so that 0 - v**2 - v - 1/4*v**3 = 0.
-2, 0
Let w(j) be the third derivative of 1/1344*j**8 + 3*j**2 + 0*j**3 + 0*j**4 + 0*j**5 + 1/480*j**6 + 0*j + 0 - 1/420*j**7. Find z, given that w(z) = 0.
0, 1
Suppose 1/4 + 9/8*n**2 + 1/8*n**4 + 5/8*n**3 + 7/8*n = 0. What is n?
-2, -1
Factor -1/11*o**2 - 9/11 + 6/1 | {
"pile_set_name": "DM Mathematics"
} |
erivative of -2*l**3/3 - 3*l**2/2 - l - 3. Let f be p(-2). What is the units digit of (-99)/f*2/6?
1
Suppose 0 = 2*i - 7*i + 20. Suppose 3 = t + u, -i*t + 2*t - u = -5. Suppose -t*n - 3*d = 2*d - 12, 2*n - d - 12 = 0. What is the units digit of n?
6
Let q = -10 + 16. Suppose o + 2*o - q = 0. Suppose o*r + r = 21. What is the units digit of r?
7
Let a(p) = -p**3 + 4*p**2 - 3*p + 2. Suppose 11 = 6*c - 3*c - 2*n, -n = 4*c - 11. What is the units digit of a(c)?
2
Suppose 4*l - 2*l = 8. Suppose -b - l = -3*b. What is the units digit of b?
2
Suppose 0 = 5*b + j - 0*j - 94, 2*b + 4*j - 52 = 0. What is the tens digit of b?
1
What is the hundreds digit of (-1*3)/((-7)/735) + 3?
3
Let r be 3/(4/(-2560)*6). What is the tens digit of ((-12)/(-10))/((-24)/r)?
1
What is the units digit of (-35 + -1)/(8/(-8))?
6
What is the tens digit of (-4 - 42/(-4) - 3)*50?
7
Let l = 19 + -8. Let u = -7 + l. What is the units digit of 10/u + 2/(-4)?
2
Let n(k) = -23*k**3 - 2*k**2 + 1. What is the units digit of n(-1)?
2
Let f(s) = 3*s - 14. Suppose 5*y - 16 = -w - 2*w, -3*w + y = -40. What is the tens digit of f(w)?
2
Suppose 2*i = 3*r - 29, 5*i - 4 = r - 31. What is the units digit of r?
7
Let k = 8 - 5. Let u be (10/k)/(2/3). Suppose -8 = -w + s + 2*s, u*s + 8 = w. What is the units digit of w?
8
Let x = 7 - 4. Suppose -x*u + 40 = u. What is the units digit of 1*u + (-2)/1?
8
Suppose 5*k - 2*t = -t + 27, 0 = -k + 4*t - 6. Let p(l) = 2*l - 9. What is the units digit of p(k)?
3
What is the tens digit of (-202)/(-6) - (-2)/(-3)?
3
Suppose -5*q - 108 = -3*q. Let c be 346/(-10) - 6/15. Let m = c - q. What is the units digit of m?
9
Let g(w) = -w**3 + w**2 + 3*w + 3. Let o be g(3). What is the units digit of -3 - -4 - 4 - o?
3
Let b be (-4)/4*(-6 - 0). Let f(l) = 0*l**3 - 11*l - 6 + l + l**3 + b*l**2. What is the tens digit of f(-7)?
1
Let h be 72/(-5)*10/3. Let k = 28 + h. Let n = -12 - k. What is the units digit of n?
8
Let c(t) = 4*t + 2. Let x be c(-3). Suppose 4*v - n = 1, 12 = -3*v - 3*n - 6. What is the tens digit of v*3*x/3?
1
Let n(f) = 3*f**2 - 2*f + 3. What is the tens digit of n(2)?
1
Let c be (-9)/3 + 6 + 0. Suppose -j + c*j = -56. What is the units digit of j/(-3) - 1/3?
9
Suppose 4*f - 2 - 6 = 0. Suppose -1 = 5*v - 11. Suppose f*g - 13 = -j + g, -4*j = -v*g - 40. What is the units digit of j?
1
Suppose -2 = 3*p + 4*v, 3*p - 2*v = 2*v + 14. Suppose -p*z = -5*z + 4*t + 46, -4*z + 5*t + 60 = 0. What is the tens digit of z?
1
Suppose 3*s + g - 52 = 8*s, 0 = -4*s + g - 41. Let h = 14 - 21. Let i = h - s. What is the units digit of i?
4
Let m = -50 + 135. What is the units digit of m?
5
Suppose 0*f + 3*i = f + 4, -i = -3*f - 20. Let b(d) = d**3 + 7*d**2 - 3*d + 7. Let o be b(f). What is the units digit of (-23)/(-7) + (-8)/o?
3
Suppose 0 = 2*d - 0*d. Let b(l) = 5*l + 7. Let v(x) = 4*x + 8. Let q(h) = -5*b(h) + 6*v(h). What is the tens digit of q(d)?
1
Let s(m) = m**3 + 2*m**2 - 2*m + 66. What is the tens digit of s(0)?
6
Suppose 3*b - 8 - 3 = -2*y, 19 = 4*y + 3*b. Suppose -2 = 2*k, y*k - 41 + 13 = 2*c. What is the tens digit of (-69)/(-4) + 4/c?
1
Suppose -4*a + 6 = -14. Suppose a*n = -4 + 14. What is the units digit of n?
2
Suppose 5*h = 3*h + 10, 2*u = -h + 49. What is the units digit of u?
2
Suppose 0 = -g + 2 + 2. Suppose -4 = 4*a - 0, -10 = -l + g*a. What is the units digit of l?
6
What is the tens digit of 24/20*330/9?
4
Suppose 4*n - n = -492. Let o be (-2)/9 - n/9. Let q = o - 13. What is the units digit of q?
5
What is the tens digit of (-1 - (-5)/(-15))*-51?
6
Let k(t) be the third derivative of -t**4/24 + 5*t**3/3 + 2*t**2. Let d be k(8). What is the units digit of (4/6)/(d/3)?
1
Suppose 2*r + 93 = -3*p + 519, 5*p + r = 710. What is the tens digit of p?
4
What is the hundreds digit of 70/3*((-16)/(-8) + 4)?
1
Let p(x) = -x**2 - 4*x + 11. Let d be p(-5). What is the units digit of 106/d*(-2 - -5)?
3
Suppose -184 = -3*p + 287. What is the tens digit of p?
5
Let j(x) = 2*x**2 - 5*x + 3. What is the units digit of j(-5)?
8
Suppose w = -2 + 1. Let q(z) be the first derivative of -5*z**4/2 + z - 3. What is the units digit of q(w)?
1
Suppose s - 2*s + 3 = 0. Suppose 0 = s*v - 34 - 8. What is the tens digit of v?
1
Let w(d) = -5*d**3 - d**2. Let h be w(-1). Suppose -h*x + 6 = -3*x + 5*u, -8 = -4*x - 4*u. What is the units digit of x?
1
Let c = -118 - -194. Suppose -5*a + 2*i + c = 0, -a + 5*a + 4*i - 44 = 0. What is the units digit of a?
4
Let f(h) = -h**3 - 9*h**2 + 10*h + 11. Suppose 3*a = -4*s - 28, -20 = -0*s + s + 4*a. Let w be 76/(-8) + 2/s. What is the tens digit of f(w)?
1
Suppose 3*g = 18 - 3. Let q = -7 - -6. What is the units digit of q + (-3 + g)*1?
1
Suppose 4 = 3*g - w, w + 6 - 2 = 5*g. Suppose -f + g*d + 3*d = -21, -d + 45 = 4*f. What is the tens digit of f?
1
Let m be (4/2)/(-6)*0. Suppose f - 2 - 4 = -t, -5*f + 5*t - 10 = m. What is the units digit of f?
2
What is the tens digit of 2/10 - (-2157)/15?
4
Let m(n) = n**3 - 2*n**2 + 2*n - 1. Let z be m(1). Suppose 3*x = -z + 6. Suppose -h + 2*h + w = -2, x*w = 2*h - 12. What is the units digit of h?
2
Let n(p) = -p**3 - 4*p**2 - 4*p - 4. Let z be n(-3). Let d be (5 - 2)/(z/(-18)). Suppose -d = -6*a + 3*a. What is the units digit of a?
8
Suppose -3*p - 3 - 6 = 0. What is the units digit of 32 + 0/p + 3?
5
Let a = 344 + -123. What is the tens digit of a?
2
Let m(d) be the third derivative of d**4/12 + d**2. Let x = -63 + 67. What is the units digit of m(x)?
8
Let m(a) = -30*a - 1. What is the units digit of m(-1)?
9
Suppose -4*k + 5*j = -72, -k - 2*k + 89 = 5*j. What is the tens digit of k?
2
Suppose -5*q - 3*s + 59 = 0, 4*q + s - 19 - 31 = 0. What is the tens digit of q?
1
Suppose 3*a - 643 = -5*z, 5*a - 761 = -z + 274. What is the tens digit of a?
0
Suppose -2*n + 17 = -39. What is the units digit of n?
8
What is the hundreds digit of ((-17)/17)/(1/(-154))?
1
Let x = -3 + 15. What is the units digit of x/7*(-105)/(-10)?
8
Let t(i) = i**2 + 2*i - 2. Let x = -4 + 6. Let j = x + -5. What is the units digit of t(j)?
1
Suppose -5*a - j = -29, 3*a - 2 = a + 2*j. Suppose -a*x - o + 0*o = -14, 0 = -5*o - 5. What is the units digit of x?
3
Let j(s) = -s + 5. Let n be j(10). Let f(a) = -12*a**3 - a**2 - a - 1. Let k be f(-1). Let c = n + k. What is the units digit of c?
6
Let x = 15 - 9. Suppose 0*n = 2*n - 10. Let i = x - n. What is the units digit of i?
1
Suppose 2*w = 2*c + 14, 0 = -w - 6*c + 2*c + 32. What is the units digit of w?
2
Let t = -3 - -2. Let s = t - -4. Suppose -4*r - c - s*c = -20, -5*c = 5. What is the units digit of r?
6
Let t(s) = s + 11. Let c be t(-9). Suppose c*r = 6*r - 28. What is the units digit of r?
7
Suppose 5*u + 10 = y, 5*u + 8 + 2 = -2*y. Suppose -5*p + 54 + 11 = y. What is the units digit of p?
3
Let n(u) = u + 29. What is the units digit of n(-17)?
2
Let x(q) = q**2 + 12*q + 45. What is the tens digit of x(-14)?
7
Suppose -15 = -5*f - 0. Let h(k) = -4*k + 6 - 7*k**2 - k**f + 4*k. What is the units digit of h(-7)?
6
What is the tens digit of (-2)/10 + 352/10?
3
Let h = -21 + 62. What is the units digit of h?
1
Let g(t) = -9*t**2 + 3*t. Let p(i) = 19*i**2 - 7*i. Let l be 0/(-5) - (-10)/(-2). Let a(h) = l*g(h) - 2*p(h). What is the units digit of a(-1)?
8
Let y = 13 + -8. Suppose -y*o + 3 = -42. What is the units digit of o?
9
Let y be (-2 + 1 - -6)*1. Suppose 4*v - 36 = -36. Suppose v = -0*f + f - y. What is the units digit of f?
5
Let q(u) = 264*u + 3. What is the tens digit of q(1)?
6
Let g = -446 - -769. What is the tens digit of g?
2
Let o be (3 - (-3 + 4)) + 14. Suppose 2*b - b = o. What is the tens digit of b?
1
Suppose 6*m + 83 = 7*m. What is the tens digit of m?
8
What is the tens digit of 17 + -1 + (4 - (9 + -6))?
1
Let o = 16 + -14. What is the units digit of o?
2
Let a(r) = -3*r + 2. Suppose 0 = -2*j + 5*p + 1, 2*j = -2*j - 2*p - 34. What is the tens digit of a(j)?
2
Let s be -8*(-2)/8*2. Let b be 171/s - 1/(-4). Suppose 5*c - i = b, 23 + 0 = 4*c + 3*i. What is the units digit of c?
8
Suppose 2*f + 0*f = -m + 2, 5*f = 4*m - 73. Let s = 1 + m. What is the tens digit of s?
1
Let x(u) be the third derivative of -u**6/120 + u**5/12 - u**4/6 + u**3/3 - 2*u**2. What is the units digit of x(3)?
8
Let i = -422 - -655. What is the units digit of i?
3
Let v(b) = -b**3 + 2*b | {
"pile_set_name": "DM Mathematics"
} |
sqrt(143) - sqrt(143))*2*5)/(sqrt(1100) + sqrt(1100) + 1*sqrt(1100)*-2 + sqrt(1100)).
-2*sqrt(13)
Simplify ((-2 + sqrt(3))*-4*-4 - (-2 + (sqrt(75) + -3*sqrt(75))**2))*5*-2.
-160*sqrt(3) + 3300
Simplify -3 + (6*4*(sqrt(128) + 3) - 2*sqrt(128)*-4*-2)**2.
9216*sqrt(2) + 13373
Simplify (-3*sqrt(99)*2)/(sqrt(81)/(sqrt(9) - (sqrt(9) + 2*sqrt(9)))) - (1*sqrt(99)*6)/(sqrt(90)/(sqrt(20)/sqrt(2))).
6*sqrt(11)
Simplify (1*6*(4*2*sqrt(252) - (-1 + (sqrt(28) - sqrt(7)))*3))**2.
9720*sqrt(7) + 510624
Simplify 1 + (sqrt(95)*1*2 - sqrt(95))/sqrt(5) + -3 + -4 + (sqrt(76)/(-2*sqrt(4)) - 4*(-1 + sqrt(19)))**2.
-35*sqrt(19) + 1579/4
Simplify (sqrt(10)/sqrt(5) + -3 - (sqrt(72) + -1) - (-4 + -1*sqrt(200))*3)**2.
500*sqrt(2) + 1350
Simplify (((sqrt(38) - (sqrt(608) - (4*sqrt(608) + sqrt(608))))*2*-6)/((sqrt(288) - sqrt(288)*4*-1)*-4))**2.
5491/400
Simplify -1*-6*(sqrt(300)/(sqrt(540)/sqrt(6)))/(sqrt(6) + sqrt(6) + sqrt(726)*1 - sqrt(54)*1).
sqrt(5)/5
Simplify 1 + -2*((-5 + 2 + sqrt(720))**2 + sqrt(720)) + (3 + (0 + sqrt(720) + 3 - sqrt(720)))**2.
-1421 + 120*sqrt(5)
Simplify 3 + 4 + (1*5*sqrt(119))/(sqrt(252) + sqrt(252) + sqrt(252)*-1).
5*sqrt(17)/6 + 7
Simplify (sqrt(4455)/sqrt(11)*-5 + (sqrt(80) + -4 + sqrt(80) + sqrt(80))**2 + 2)*-1.
-738 + 141*sqrt(5)
Simplify (sqrt(4) - sqrt(64)*3 - (sqrt(4) + 5*sqrt(64)))/((sqrt(14)*1*5)/sqrt(7)*-5).
32*sqrt(2)/25
Simplify (-3 + -4 + -2 + -1 + (-2 + sqrt(162))*-3 + 4 + 2)**2.
-108*sqrt(2) + 1462
Simplify (3*2*(sqrt(68) - sqrt(68)*-1*-4 - sqrt(68)))/(sqrt(576) + -6*sqrt(576)*-1 + -1*sqrt(576)*5).
-sqrt(17)
Simplify (sqrt(6776) + sqrt(6776) + 2*sqrt(6776))/sqrt(2) - ((-3 + (sqrt(567)*1)**2 - sqrt(567) - sqrt(567)) + (-5 + sqrt(567) + -2 - sqrt(567))**2).
-613 + 106*sqrt(7)
Simplify (-1*((sqrt(768)*2 - sqrt(768)) + sqrt(768))*-1 - (sqrt(768)*-2*-6 + 2))**2*3.
1920*sqrt(3) + 230412
Simplify (-4*(sqrt(1377) + -1)*-5 + ((sqrt(102) + -1*sqrt(102) + sqrt(102))*5)/(sqrt(72)/(sqrt(24)/sqrt(2))))*-4.
-740*sqrt(17) + 80
Simplify ((sqrt(110) - (sqrt(110) + (sqrt(110) - (1*sqrt(110) - sqrt(110))*-6))) + -2*sqrt(110)*-2)/(sqrt(50)/(sqrt(5) + sqrt(500)*-5)).
-147*sqrt(11)
Simplify ((sqrt(12) + sqrt(108))*-1)/(sqrt(600)*-4) + ((3*sqrt(10)*2)/sqrt(5) - (2 + sqrt(162)*2))**2.
481*sqrt(2)/10 + 292
Simplify (-3 + ((sqrt(1377) + 0)*1)**2 + ((sqrt(119)*-2*-6 - sqrt(119))/sqrt(7))**2 + 4)*-1.
-3435
Simplify (4*((sqrt(78) - -1*sqrt(78)) + sqrt(78)) - (sqrt(78) - (2*sqrt(78) - sqrt(78)))*5)/(-3*2*sqrt(294)) + 3.
-2*sqrt(13)/7 + 3
Simplify (5*(-2 + (-6*-1*sqrt(175) - sqrt(175) - sqrt(175) - -4*1*sqrt(175)))*3)**2.
-36000*sqrt(7) + 2520900
Simplify (4 + -5*(5 + 2 + sqrt(2736) + 0 + sqrt(2736))*2*-4)**2.
545280*sqrt(19) + 17591056
Simplify sqrt(112)*-5 - 2*(sqrt(63))**2 - (4 + sqrt(14)/(-1*sqrt(12)/sqrt(6))).
-130 - 19*sqrt(7)
Simplify 2*((sqrt(700)*1 + sqrt(700))**2 + sqrt(700) + 2 + -1 + 2*sqrt(700) + -5*-2*sqrt(700)*6)*2.
2520*sqrt(7) + 11204
Simplify (-5*(-1*sqrt(76)*5 + sqrt(76)*1*2 + sqrt(76)))/(-4*(sqrt(400) + 4*sqrt(400))*4).
-sqrt(19)/80
Simplify ((-2*sqrt(72) + 1)*-6)**2 + 3 - (((0 + sqrt(72))*-5 - ((6*(0 + sqrt(72)))**2 - sqrt(72))) + 0).
-840*sqrt(2) + 12999
Simplify 1*-2*(-2*(2 + sqrt(576)/sqrt(12) + (sqrt(21) + (sqrt(21) + sqrt(21)*-1)*-4)/sqrt(7)))**2.
-632 - 160*sqrt(3)
Simplify (0 + sqrt(52) + 4)**2 - -1*sqrt(13)*6*-1 - (0 + (sqrt(13) + 0 + -4 - (sqrt(52)/sqrt(4)*-4)**2)).
9*sqrt(13) + 280
Simplify ((sqrt(126) + (sqrt(126) + 1*sqrt(126) + sqrt(126))*-2 + sqrt(126))/sqrt(6)*3)/((2*sqrt(450))/(sqrt(30)/(sqrt(5)*1))) + -1.
-6*sqrt(7)/5 - 1
Simplify -5*(3 + -6*-2*(sqrt(28) + -1) + -5 + -4)**2.
-21780 + 4320*sqrt(7)
Simplify ((sqrt(136) - (sqrt(136)*2 + sqrt(136))*-5)*-2*2)/(sqrt(4608)*-2*-6).
-2*sqrt(17)/9
Simplify 2 + (-6*((-2 + sqrt(320))*-6 - (1 + sqrt(5) + (sqrt(180) - sqrt(5)) - sqrt(25)/(1*sqrt(5)))))**2*-5.
-2549878 + 209880*sqrt(5)
Simplify (sqrt(1053) + sqrt(1053)*-1 + sqrt(1053) - (sqrt(13) - sqrt(52)*-1) - (sqrt(78)*1*-5)/sqrt(6) - -1*6*(2*sqrt(1872)*-4 + sqrt(1872)))**2.
3159637
Simplify 5*(-3 + (4 + -3 + (sqrt(98) - -2*sqrt(98)))*-2)**2.
2100*sqrt(2) + 17765
Simplify ((sqrt(3078) - (sqrt(3078) - sqrt(3078)*-1*-2) - sqrt(3078) - sqrt(3078))*-5)/((sqrt(8) + sqrt(128)*-1 - sqrt(8))/(sqrt(20)/(-1*sqrt(5)))).
0
Simplify 3 + sqrt(19)*1*1 + -1*sqrt(2736) + 1 + sqrt(19)*-4 + -5 + sqrt(228)/sqrt(432).
-89*sqrt(19)/6 - 1
Simplify ((sqrt(108)/((sqrt(144) - sqrt(4))*5)*-4)/(sqrt(144)/(sqrt(100) - (sqrt(100)*2 + sqrt(100)) - sqrt(100))) + 4)**2.
48*sqrt(3)/5 + 508/25
Simplify (6*(-2*sqrt(320) - sqrt(320))*2)/((sqrt(196) - 2*sqrt(196)*-6) + -4*(1*sqrt(196) + sqrt(196))).
-144*sqrt(5)/35
Simplify (((-4*(sqrt(588) - 2*sqrt(588)) - sqrt(588)) + (sqrt(588) - (sqrt(588) + 4 + (sqrt(588) - (sqrt(588) + 0)))))*1 + 1)**2.
-252*sqrt(3) + 5301
Simplify ((sqrt(162) - ((sqrt(162) + sqrt(162) + 0 - sqrt(162)) + sqrt(162))) + 5 - 2*(sqrt(162) + -5))**2 - (sqrt(162)*-3*4 + -3)**2*4.
-91665 - 3402*sqrt(2)
Simplify ((-1 + sqrt(605) + 0 + sqrt(605) - sqrt(605)) + (sqrt(605) - sqrt(605)*2*6))**2 + (sqrt(5) + 2)*-5 + 1 + -3.
215*sqrt(5) + 60489
Simplify ((((sqrt(208) + -2)*-4 + sqrt(208))*-6)**2 - (-1 + (sqrt(1573) + 0 - sqrt(1573) - sqrt(1573))*-6)**2)*1.
-6780*sqrt(13) + 13067
Simplify (sqrt(55)*-4)/sqrt(11) - (sqrt(35) - sqrt(2835))/sqrt(7) - ((sqrt(500) - (-1 + sqrt(500) - sqrt(500))**2) + -2)*5.
-46*sqrt(5) + 15
Simplify ((-5*-2*sqrt(77) + sqrt(77)*-2*-2)/(-6*sqrt(11)*1 - sqrt(44)*3))**2.
343/36
Simplify -2 + (6*sqrt(9)/(sqrt(27)/sqrt(9)) - -5*sqrt(216)/sqrt(8)).
-2 + 21*sqrt(3)
Simplify (-3 + (sqrt(396) + ((sqrt(396) + 0)**2*-4 - sqrt(396)) - (-1 + sqrt(396) + -5)**2) + 3)*1 + -2 + -4.
-2022 + 72*sqrt(11)
Simplify (0 + 2 + sqrt(425) + sqrt(425) + 0)**2 - (5*(-1 + sqrt(17)) - (sqrt(68)/sqrt(4) + 5 - sqrt(17)))**2.
140*sqrt(17) + 1179
Simplify 3*((-4 + sqrt(80) + 0 + sqrt(80) + sqrt(80) + 2)*5 + 4*1*((1*(1 + sqrt(80)))**2 + sqrt(80) + sqrt(80))).
372*sqrt(5) + 942
Simplify (sqrt(30)/sqrt(3)*2)/((sqrt(5) + sqrt(20)/sqrt(4))*3)*2 + ((sqrt(96)/sqrt(6) - sqrt(16))*-2)/(sqrt(16)/(sqrt(8)/sqrt(4)) - sqrt(8) - sqrt(8)).
2*sqrt(2)/3
Simplify (-5*sqrt(72)/sqrt(12))/((6*(sqrt(242) + sqrt(242) + sqrt(242)*-2) + sqrt(242) + sqrt(242) + sqrt(242))*-6) + 4.
5*sqrt(3)/198 + 4
Simplify -6*(sqrt(605) - (sqrt(605) + sqrt(605)*-2 + sqrt(605) + 1)**2 - (-1*sqrt(605) + 1) - (3*(-3 + 4 + (sqrt(605) + 1 - sqrt(605))))**2).
-132*sqrt(5) + 228
Simplify (-2*-4*sqrt(119)*1*-6)/(sqrt(7) - (sqrt(7) - (sqrt(63) + sqrt(63) + sqrt(315)/sqrt(5) - sqrt(63))) - (sqrt(252) + sqrt(7))).
48*sqrt(17)
Simplify -3*((sqrt(528)/sqrt(11) - sqrt(288)/sqrt(6)) + (sqrt(243) + -1 + sqrt(243))**2*6)*-5.
-3240*sqrt(3) + 87570
Simplify (-5 + sqrt(45) + 1*(sqrt(5) - sqrt(10)/sqrt(2)))**2 + 5*(1 + sqrt(245)) - ((sqrt(35)/(-1*sqrt(252)))**2 - (-4*sqrt(20) + 5)).
-3*sqrt(5) + 2875/36
Simplify -2*-2*(6*(2 + sqrt(272) + 1) - ((-1 + (sqrt(272)*-2 + sqrt(272) - sqrt(272)))*-2)**2).
-17352 - 160*sqrt(17)
Simplify (4*(sqrt(112) + 0 + -3) + 0 + (sqrt(112) - (3 + sqrt(112) + -1)))**2*-6.
-11928 + 2688*sqrt(7)
Simplify 2*((sqrt(300)*1)/sqrt(6) - (sqrt(50)*2 + -3) - (4 + (0 + sqrt(50))**2 + -5)).
-92 - 10*sqrt(2)
Simplify (1*sqrt(3388) + sqrt(308)/sqrt(176) + (-3 + sqrt(567) - sqrt(567) - (sqrt(7) + 3 + (sqrt(175) - sqrt(7)) + sqrt(7))))**2.
-198*sqrt(7) + 7767/4
Simplify (-3*-1*sqrt(2) - sqrt(8)/sqrt(4)*-5)*-2 - (sqrt(10) + sqrt(50)/sqrt(5)*-5)/(sqrt(30)/(2*sqrt(6))).
-8*sqrt(2)
Simplify (((sqrt(567) + -1)*1 + 4*(sqrt(567) + 1))*-3)**2 - (3 + (sqrt(343)*-2 - (sqrt(175)*1)**2) + 5).
2444*sqrt(7) + 127823
Simplify (sqrt(22)/(sqrt(32)*-6)*-5 + -2 + 2 + -6*1*(sqrt(891) + 1))**2.
1291*sqrt(11)/2 + 18354227/576
Simplify (-6*(2*sqrt(66)*-2 - -2*sqrt(66)*-4))/(1*(sqrt(6) + sqrt(294)) - sqrt(42)/(1*sqrt(7))).
72*sqrt(11)/7
Simplify (-6*sqrt(152)*2)/((sqrt(48) - sqrt(1200))/sqrt(6)) - (-6*(2 + (sqrt(684) - (0 + sqrt(684) + -5))))**2.
-1764 + 3*sqrt(19)
Simplify (-2 + sqrt(343)*-1)*3 - ((sqrt(847) - (-3 + sqrt(847)*1 + sqrt(847))) + 5 + (sqrt(847)*1)**2).
-861 - 10*sqrt(7)
Simplify (1*(-2*sqrt(153) - sqrt(153)))/(sqrt(81)*2 + sqrt(9)) + (-6*sqrt(102)*1)/(sqrt(216)*1).
-10*sqrt(17)/7
Simplify ((sqrt(11)*1)**2 + 0 - ((sqrt(11) - (sqrt(11) + 0)) + -1)) + -5 + sqrt(352)/(sqrt(8) + (3*sqrt(128) - sqrt(8)) - sqrt(8)).
2*sqrt(11)/11 | {
"pile_set_name": "DM Mathematics"
} |
x, 4
Let v(r) = r**2 - 8*r - 5. Let p be v(9). Sort -5, p, -102 in increasing order.
-102, -5, p
Suppose 2*g + 46 = -4*x, 2*g + 20 = g + x. Let q = 24 + g. Suppose q*d + 7 = 4*d + 5*y, -d - y = -3. Sort -5, d, -8 in increasing order.
-8, -5, d
Let q = 0.1762 - 1.1762. Sort 0.603, 3/4, q in ascending order.
q, 0.603, 3/4
Let c be (-2)/(-2) - 0 - 78/104. Suppose -3*o + 14 - 5 = 0. Sort -2/11, 0.3, o, c.
-2/11, c, 0.3, o
Suppose -5*w = -2*y - 0*w + 15, -5*w = 15. Sort y, 5.1, -2/17, -2/13.
-2/13, -2/17, y, 5.1
Suppose 3*b - 2*q = -40, -5*b + 5*q = 7*q + 88. Suppose -n - 2*n = -3*g + 3, 0 = -2*n + 5*g + 10. Sort -3, n, b.
b, n, -3
Suppose -24 = -31*z + 25*z. Sort 5, -4, 19, z in ascending order.
-4, z, 5, 19
Suppose 0 = -2*q + 291 - 297. Let s = 5 - 10. Sort -0.2, q, s.
s, q, -0.2
Suppose -3*c + 17 = 26. Sort c, -4, -35, 4.
-35, -4, c, 4
Let u(f) = 5*f**2 - 3*f + 3. Let z be (3/(-9))/((-1)/3 - 0). Let h be u(z). Let r = -0.24 - 0.06. Sort -4, h, r in ascending order.
-4, r, h
Let c be ((-62)/(-155))/((-1)/2). Let o = -14 - -9. Sort c, o, -1/4 in ascending order.
o, c, -1/4
Let w(g) = -3*g**3 - g**2 - 6*g - 5. Let b be w(-1). Let f be (6/(-4))/(9/12). Let a be (f/(-4))/(1/(-8)). Sort a, b, -1 in decreasing order.
b, -1, a
Let v = 3.1 - 3. Let p = 18.015 + -18.515. Sort p, v, 0 in descending order.
v, 0, p
Let k be 60/(-144) + (-5)/60. Put -3/22, k, 2/11, -5 in decreasing order.
2/11, -3/22, k, -5
Let z = -24.1 + 24. Let l = 41.2 + -41. Let s be -6*(3/(-2) + 1). Sort z, s, l in descending order.
s, l, z
Suppose -3*c + 5 = 4*h, -4*c - 3*h - 12 = -7. Let x = 2 + -4. Put 2, 3, c, x in ascending order.
c, x, 2, 3
Let x = -3.5 + 3. Let c = -26 - -30.5. Let a = c - x. Sort a, 0.4, 1 in descending order.
a, 1, 0.4
Suppose -10*b + 18 = -22. Put -5, -35, b in descending order.
b, -5, -35
Let m be (3 - 3)*(4 - 3). Put 1, -7, 2, m in decreasing order.
2, 1, m, -7
Let b = 2028.6 + -2029. Put 2/15, b, 5, -9 in increasing order.
-9, b, 2/15, 5
Let y = -14.551 + 0.151. Let t = y + 14. Let v be ((-4)/10)/(8/(-5)). Put v, 1, t in descending order.
1, v, t
Let z(w) be the third derivative of w**4/24 + 5*w**3/2 + 27*w**2. Let p be z(-11). Sort -1, 3, -5, p in descending order.
p, 3, -1, -5
Let y = 2 - -1. Suppose -5*b + 27 = 4*o, 2*b + 2*o - 3 = y*b. Let k be 4/(-3)*(-3)/2. Sort b, k, 1.
1, k, b
Let n = -10/11 - -17/55. Sort 3, n, 0.2 in decreasing order.
3, 0.2, n
Suppose -26 = 30*d - 86. Put d, -519, 3 in descending order.
3, d, -519
Suppose -p - 8 + 1 = -5*q, p - 5 = -q. Let o = 738 - 743. Sort q, 5, o, -3.
o, -3, q, 5
Let x be ((-420468)/(-810))/((-56)/(-57)). Let f = x + -3700/7. Let m = f - 2/45. Sort m, -1, -0.4 in descending order.
m, -0.4, -1
Let h = -0.7 - 3.3. Let o = 0.7 + 0.1. Let y = o + -1. Sort h, 0.01, y in decreasing order.
0.01, y, h
Let d = 4 + -1. Let n be (7/2)/(((-10)/(-12))/5). Let l be ((-8)/3)/((-14)/n). Sort l, d, 1.
1, d, l
Suppose -234*u + 227*u - 112 = 0. Sort 2, u, 3 in decreasing order.
3, 2, u
Let x be (-18)/10 - (20 + -21). Let p be (-30)/(-180) - 62/228. Put 1, p, -3, x in decreasing order.
1, p, x, -3
Let j be 68/12 + (-8)/(-6). Suppose 2*k + 2*k = 12. Suppose -k*i = -8*i - 5. Put j, 4, i in descending order.
j, 4, i
Let t = -4.02252 - -0.02252. Let l = 11 - 18. Sort t, l, -0.4, 3.
l, t, -0.4, 3
Suppose -40 = 3*f + 5. Let v be (-80)/f + (-2)/(-3). Put v, 5, -3 in descending order.
v, 5, -3
Let w = -352 - -352.4. Sort -17, -0.2, w in descending order.
w, -0.2, -17
Let k(g) = 3*g + 2. Let s(m) = 7*m + 5. Let n(z) = -13*k(z) + 6*s(z). Let i be n(-3). Let b = -9 + 13. Sort b, 5, i in ascending order.
i, b, 5
Let y be (-10)/(-40)*(-3 - -23). Put -4, 37, y, 2 in increasing order.
-4, 2, y, 37
Let c = 80 + -85. Sort -8, c, -7, 1 in ascending order.
-8, -7, c, 1
Let o = -93 - -94. Let p be o*(0 + 2)*(13 - -1). Put 3, p, 4, -5 in decreasing order.
p, 4, 3, -5
Let h = -5514 + 5514.5. Let n = 0.2 + -0.2. Sort h, n, -3/10, -0.1.
-3/10, -0.1, n, h
Let y(l) = -l**2 + 18*l + 117. Let i be y(23). Let v = 10 + -5. Put 4, i, v in descending order.
v, 4, i
Let z(x) = 2*x**2 - x. Let l be z(-1). Suppose 0 = -5*i - 2*p - 25, p = 2*i - 3*i - 5. Let b be 1/15*(6 + (i - -2)). Put l, b, -2 in descending order.
l, b, -2
Suppose 0 = -2*y + 4*y - 4. Let j(o) = o + 26. Let a be j(-23). Suppose -5*f = m - a*m + 11, 4*f = -4. Sort -2, m, y in ascending order.
-2, y, m
Let x be 3*3 - (145 + -136). Put x, 0.05, 2/3, -5 in decreasing order.
2/3, 0.05, x, -5
Let l = -10 + 21. Suppose -b = 2*a + 1, 15*a - 19 = 18*a + 5*b. Suppose -4*y = a*d - d + l, 0 = 2*d + 5*y + 13. Sort 5, d, -3.
-3, d, 5
Let z = 7 - 7.8. Let v = 11.98 - 11.48. Put z, v, 5 in decreasing order.
5, v, z
Suppose -25*l = -37*l + 60. Sort 11, l, -1, 0.
-1, 0, l, 11
Let v = -995 - -999. Sort -1, v, 0.1, 1 in descending order.
v, 1, 0.1, -1
Let w = 99 - 69. Let b = w + -34. Put 4, -3, b in ascending order.
b, -3, 4
Let b(n) = -n**3 - 13*n**2 + 15*n + 15. Let j be b(-14). Let g(p) = j + 4*p - 3 + p - 7*p. Let x be g(1). Sort 1, x, 2 in increasing order.
x, 1, 2
Let q be 3*(-3 - 26/(-9)). Sort -0.08, -0.11, q.
q, -0.11, -0.08
Suppose 0 = -3*y + 5*j - 23, 4*j + 6 = -14. Sort -2, -5, y, -4.
y, -5, -4, -2
Suppose 103 = 132*k - 102 - 59. Let c be 2/(1 - -1)*-4. Sort 5, k, 4, c.
c, k, 4, 5
Let r = -0.14 - 32.86. Let i = r - -18. Put 3/7, 2, i in increasing order.
i, 3/7, 2
Let c(l) = -4*l - 18. Let g(j) = 2*j + 17. Let a be g(-11). Let u be c(a). Suppose -m = -2*m - 4. Put u, m, -2 in decreasing order.
u, -2, m
Suppose 29 = -2*z + 5*z + r, -z + 13 = -3*r. Let d be (-2)/6 + z/(-6). Sort d, -1, -3 in decreasing order.
-1, d, -3
Let r = 29 - 88. Put r, 2, 1 in descending order.
2, 1, r
Suppose -u - 26 = -5*j, -10 = 548*j - 550*j. Sort 19, u, 2 in decreasing order.
19, 2, u
Let j be -2*1*-9*(-8)/(-144). Put j, 4, -43, 5 in descending order.
5, 4, j, -43
Suppose 11 = 3*h - 1. Let d = -17 + 13. Sort d, h, 0.
d, 0, h
Let t = 256/15 - 50/3. Let u = -0.05 - 0.55. Let r = -4.4 + u. Sort r, t, -0.3 in decreasing order.
t, -0.3, r
Let x = 0.01 - -3.99. Let l = 0 - 0.5. Let j = -0.38 - 1.62. Put x, j, l in descending order.
x, l, j
Suppose -5*w + 3*f + 86 + 28 = 0, 4*f = -2*w + 30. Suppose 2*s + 5*s - w = 0. Put 0, -7, s in decreasing order.
s, 0, -7
Let h = -0.4 - -0.1. Let r = 77.4 - 77.3. Put -1, r, h in decreasing order.
r, h, -1
Suppose 0 = -2*r + 3*r - 4*s - 3, 4*r + s + 5 = 0. Sort 0.2, -4/13, r, 0.4 in decreasing order.
0.4, 0.2, -4/13, r
Let g(x) = 20*x + 343. Let r be g(-17). Let c = -0.1 + -0.1. Put r, c, 1/8, 0.2 in descending order.
r, 0.2, 1/8, c
Suppose -2*d + 0*l + 2*l - 8 = 0, -3*d - 4*l + 23 = 0. Suppose 2*s = 3*k - 4*k + 4, 5*s = -k + 13. Let q be (1 - -1)*d*k. Put 0, q, 2 in increasing order.
q, 0, 2
Let j be 2/9 - 40/18. Let g(v) = v**3 + 11*v**2 + 33*v + 17. Let c be g(-6). Sort 1, c, -4, j in descending order.
1, c, j, -4
Suppose -20 = -4*u - 2*n, -3*n - 2*n = -2*u + 10. Put 42, -5, u, 3 in ascending order.
-5, 3, u, 42
Let c = -156 - -161. Suppose 3*b = -2*b + 50. Let x be ((-9)/(-18))/((-1)/b). Sort x, -13, c in decreasing order.
c, x, -13
Let x = -2162/15 + 144. Let u be 356/1032 + (-3)/9. Let l = -21/43 - u. Put x, l, -2 in descending order.
x, l, -2
Let t = 0.142 - 0.032. Let n = -4.89 - t. Put -2, 0.3, n, -0.3 in ascending order.
n, -2, -0.3, 0.3
Let y be -1 - -2 - (0 - (-8)/32). Sort -1, 32, y, -5/4 in descending order.
32, y, -1, -5/4
Let d = -0.03 - 2.97. Let z(b) = -5*b - 2. Let j be z(0). Let n be (-80)/(-38) - (j - 1 - -5). Put -2/3, n, d in descending order.
n, -2/3, d
Let r = -0.531 + 0.831. Sort 0.161, -0.3, r in decreasing order.
r, 0.161, -0.3
Let c be ((-2)/10)/((-329)/35 - -9). Let z be -2 - ((-77)/6)/7. Put -4/9, z, c in decreasing order.
c, z, -4/9
Let n be (6/4)/(7/42). Let c be 2/(-3)*n/(-2). Sort c, 2, 4, 1 in increasing order.
1, 2, c, 4
Let y = 0 + 0. Let j be ((-4)/(-6))/(8/60). Put j, 3, y in descending order.
j, 3, y
Let r be ((-375)/(-250))/(1/6*(-27)/6). Let l be ((-1)/(-2))/(1/4). Put -4, 5, l, r in ascending order.
-4, r, l, 5
Let x(p) = -p + 2. Let h be x(10). Put -7, h, -3 in descending order.
-3, -7, h
Suppose -3*d + 4*o - o + 39 = 0, 3*d - 5*o - 49 = 0. Suppose -172*b + 170*b + 3*p - 17 = 0, 4*b = p - 19. Sort 0, b, d, 3 in decreasing order.
d, 3, 0, b
Suppos | {
"pile_set_name": "DM Mathematics"
} |
implify -5*(3*(sqrt(231)/(sqrt(7) - sqrt(28)))/(sqrt(396)*-1 + sqrt(396) + sqrt(396)))**2.
-15/4
Simplify (0 + 2*sqrt(2057)*-2)*-3.
132*sqrt(17)
Simplify (sqrt(240)/sqrt(3) + 1 + sqrt(720) + 4*((sqrt(20)*-3)**2 - sqrt(5)))*6.
72*sqrt(5) + 4326
Simplify (sqrt(80) - (0 + 1 + sqrt(80))) + (sqrt(80)*1)**2 + 4 + sqrt(80) + (-2 + 0 + 2*sqrt(405))**2.
-68*sqrt(5) + 1707
Simplify (0 + 5*(sqrt(28) - 4*sqrt(28)*6))**2.
370300
Simplify (5*sqrt(306)/sqrt(9))/sqrt(2) - ((sqrt(17) - (-2 + sqrt(17) + -5 - sqrt(17)))**2 - (sqrt(17) + 1)*-4).
-70 - 13*sqrt(17)
Simplify (sqrt(17) - sqrt(170)/(sqrt(10)*-1)) + sqrt(17)*-2*-6 - sqrt(102)/(sqrt(48)/(-2*sqrt(8))).
16*sqrt(17)
Simplify 5*((-5*sqrt(22)/sqrt(2) + (sqrt(11) - (sqrt(11) - sqrt(11)*2)) + 5)**2 - (sqrt(88)/sqrt(2) + 4 - sqrt(44))**2).
-150*sqrt(11) + 540
Simplify -2 + ((sqrt(63)/sqrt(12))/(sqrt(7) + sqrt(567)*2))**2.
-2885/1444
Simplify ((sqrt(117))**2*4 + -3*sqrt(13)*1 + (sqrt(13) - (0 + sqrt(52)/sqrt(4)))*-4)*-3.
-1404 + 9*sqrt(13)
Simplify -5 + (sqrt(85)/(sqrt(5) - sqrt(80)*2 - sqrt(5)) + ((sqrt(187) + sqrt(187)*2)*-6 - sqrt(187))/sqrt(11))**2 + -3.
397441/64
Simplify (((sqrt(91) - (sqrt(91) + sqrt(91)*-2))*-3 - (sqrt(91) - 3*(1*sqrt(91) + sqrt(91))))/((sqrt(168)/sqrt(4))/sqrt(6) + sqrt(448)*-1))**2.
13/49
Simplify ((sqrt(1573)*3 - sqrt(1573)) + -4 + sqrt(1573))**2 - (2*(0 + sqrt(1573)))**2.
-264*sqrt(13) + 7881
Simplify (sqrt(105)/sqrt(3)*-3)/(-2*(sqrt(5) + sqrt(80)))*-1 + 3.
-3*sqrt(7)/10 + 3
Simplify (sqrt(475) + (sqrt(475) + (sqrt(475) - (2*sqrt(475))**2))*-5 + (sqrt(475) + 2)*-2)*2.
-110*sqrt(19) + 18992
Simplify (sqrt(7)*-3*3 + sqrt(28)/sqrt(4) + 1)**2 + (-5 + -1 + sqrt(448))*2.
437
Simplify (1*(-2*sqrt(209)*-3 + sqrt(209)))/(sqrt(176) + -2*sqrt(176) - (sqrt(1331)*2 - sqrt(1331))).
-7*sqrt(19)/15
Simplify ((1 + 2*sqrt(468))**2 + (0 + sqrt(13) + -1)*2)*4.
104*sqrt(13) + 7484
Simplify (sqrt(100)/(sqrt(20) + sqrt(5))*-5)/(sqrt(20)/(-2*sqrt(2))*6).
5*sqrt(2)/9
Simplify (2*sqrt(117) + 0 + sqrt(117) + (sqrt(117)*-2 + sqrt(117))**2 + -2)*4.
36*sqrt(13) + 460
Simplify ((sqrt(171)*2 + sqrt(171))*3 - sqrt(171))/(sqrt(1296)*-2) + -1.
-sqrt(19)/3 - 1
Simplify (sqrt(672)*4)/(sqrt(48)/(sqrt(8)*4 + sqrt(8))).
80*sqrt(7)
Simplify ((sqrt(187)*1)/sqrt(11))**2 + -1 + sqrt(17) + sqrt(17) + -4 - ((sqrt(1088) + 1)**2 - sqrt(1088))*-2.
18*sqrt(17) + 2190
Simplify (-3*sqrt(320) - (sqrt(20) + (2*sqrt(140))/sqrt(7)))/(sqrt(324)*-2*4).
5*sqrt(5)/24
Simplify ((-5 + sqrt(405)*-1 + sqrt(405) - 5*sqrt(405)*4) + 0)**2.
1800*sqrt(5) + 162025
Simplify (sqrt(88) + -6*(sqrt(88) - sqrt(88)*-2) - -2*sqrt(88)*-1)/(sqrt(72) - 4*(sqrt(72)*2 + sqrt(72))).
19*sqrt(11)/33
Simplify (sqrt(42)/sqrt(6))**2*-6 + 0 - ((sqrt(35)/sqrt(5)*-5)**2 + 1).
-218
Simplify (sqrt(114) - (sqrt(114) - (1*sqrt(114)*-5 - sqrt(114))) - sqrt(114))/sqrt(6) - -4*((sqrt(95) + (2*sqrt(95) - sqrt(95)) + sqrt(95))/sqrt(5))**2.
-7*sqrt(19) + 684
Simplify (-5*(-1 + (4*(sqrt(1088) + 1) - (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 0)) + -2))))**2.
6000*sqrt(17) + 245425
Simplify ((1 + (sqrt(8) - sqrt(128)*2) + -2)*4)**2.
448*sqrt(2) + 6288
Simplify (sqrt(144)*-1 + sqrt(36) + sqrt(36) + sqrt(36) + sqrt(36) + (sqrt(108)/sqrt(3)*6 - sqrt(36)) + sqrt(36))/(sqrt(48)/(-4*sqrt(100))).
-160*sqrt(3)
Simplify -6*(2 + (sqrt(11) - (-3 + (sqrt(44))**2)) + 3 + -1 + sqrt(11)).
-12*sqrt(11) + 222
Simplify ((1*sqrt(160) + sqrt(160) - sqrt(160))/sqrt(4) - sqrt(1000)*2)/((sqrt(88)*-2)/sqrt(11)*-5).
-9*sqrt(5)/10
Simplify (sqrt(5700)*2 + sqrt(5700) + sqrt(5700) + sqrt(5700) + sqrt(5700) + sqrt(228)*1)/(sqrt(6)/(sqrt(2) + sqrt(6)/sqrt(3)*-5)).
-248*sqrt(19)
Simplify (1*sqrt(136)*-4 - sqrt(136))/sqrt(8) + (sqrt(17) + sqrt(17) + -2*sqrt(425))*5.
-45*sqrt(17)
Simplify (sqrt(440)/(4*2*sqrt(10)))/(sqrt(64) + (sqrt(64)*-3 + sqrt(64))*2).
-sqrt(11)/96
Simplify ((sqrt(847) + 1)**2 + sqrt(84)/sqrt(192))*3 + -3.
267*sqrt(7)/4 + 2541
Simplify (sqrt(160)/(sqrt(20)/sqrt(4)) + ((sqrt(224)*1)/sqrt(7))**2)*-6.
-192 - 24*sqrt(2)
Simplify (-5 + (sqrt(242) - (sqrt(242) + 0))*1*5 + -4 + 0)**2.
81
Simplify sqrt(7) + 5*sqrt(112) + 0 + 0 + (sqrt(5103) - sqrt(7)).
47*sqrt(7)
Simplify (sqrt(40)/sqrt(5) + (sqrt(8)*5 - sqrt(2)) - (3 + sqrt(22)/sqrt(176)))**2.
-129*sqrt(2)/2 + 1921/8
Simplify ((-4*sqrt(209)*3)/(sqrt(891)*2))**2.
76/9
Simplify 3*(((-1 + sqrt(833))*-6)**2 - (-1 + (sqrt(68)/sqrt(4) + -1 - sqrt(17))))*-3.
-270234 + 4536*sqrt(17)
Simplify (((sqrt(5) - (sqrt(5) - sqrt(50)/sqrt(160))) + (5 + sqrt(5) + sqrt(5)*1 - sqrt(5)))*1 + -5 + (sqrt(180) + 0 - sqrt(5))*-5)**2.
45125/16
Simplify -1 + ((2 + sqrt(5))**2 - sqrt(5)) + -4 + sqrt(5) - -4*(-2*sqrt(245))**2.
4*sqrt(5) + 3924
Simplify (sqrt(384) - 6*(sqrt(384) + -1*sqrt(384)))/sqrt(12)*-2.
-8*sqrt(2)
Simplify 3*((-5*sqrt(91)*1 - sqrt(91)) + sqrt(91) - sqrt(91))/sqrt(7) + (-1*-1*sqrt(13) + (sqrt(117) - (2*sqrt(117) + sqrt(117))))**2 + 0.
-18*sqrt(13) + 325
Simplify (-5 + (2 + -2*sqrt(684) - (sqrt(684) + 0)*-3))*-2.
-12*sqrt(19) + 6
Simplify (sqrt(560)/(sqrt(250) + sqrt(10)) - (-1*sqrt(1400) + sqrt(1400)))/(sqrt(80)/((sqrt(80)*2 - sqrt(80))/sqrt(8))).
sqrt(7)/6
Simplify ((-2*sqrt(9072))/(sqrt(9) + (sqrt(72) + -5*sqrt(72) + sqrt(72) + sqrt(72))/sqrt(8) - sqrt(9))*-2)**2.
4032
Simplify 2 + (3 + 1*(sqrt(304) + sqrt(304)*2)*4)**2.
288*sqrt(19) + 43787
Simplify 4*((sqrt(209)/(sqrt(11) + -5*sqrt(539)))**2 + (-3*sqrt(475) - sqrt(475))**2 + -5).
8779839/289
Simplify (-3 + 3*4*sqrt(190)/(-4*sqrt(160)))**2.
9*sqrt(19)/2 + 315/16
Simplify -3*(sqrt(27)*3)**2 + sqrt(27) + 2 - (-4 + 3 + sqrt(27) + 1).
-727
Simplify 4 + (-2*(sqrt(1872) + 3 + (sqrt(1872) - (sqrt(1872) + sqrt(1872) + -1*sqrt(1872))))*-6)**2.
10368*sqrt(13) + 270868
Simplify (sqrt(160)/sqrt(5)*2)/(-5*sqrt(20)/sqrt(5) + sqrt(4)).
-sqrt(2)
Simplify -5*((sqrt(5445) - ((sqrt(5445) + (sqrt(5445) - -5*sqrt(5445)))**2*-1 - sqrt(5445))) + 4 + (sqrt(5445) + -2 - sqrt(5445))**2 + sqrt(5445)).
-1334065 - 495*sqrt(5)
Simplify sqrt(63)/(sqrt(18)/sqrt(2)) + 4 + sqrt(42)/(sqrt(216)*2 + sqrt(216) - sqrt(216)).
13*sqrt(7)/12 + 4
Simplify (-2*sqrt(720) + sqrt(50)/(sqrt(90) - sqrt(10)) + (sqrt(55)/(5*sqrt(11)) - sqrt(5))*5)**2.
15125/4
Simplify sqrt(133)/(sqrt(35)/sqrt(5)*4) - sqrt(76)/(sqrt(4)*-6)*3.
3*sqrt(19)/4
Simplify -4 + (sqrt(190)/(sqrt(10) - sqrt(490)) - (-3 + sqrt(2299))**2).
-2312 + 395*sqrt(19)/6
Simplify 6*((4*sqrt(51)/(sqrt(3)*-1) - (sqrt(119)/(sqrt(7) - sqrt(28)) - (sqrt(17) + ((sqrt(17) + sqrt(272))*6 - sqrt(17)))))**2 + -2).
74346
Simplify -4*(-1 + (5*sqrt(136)*-1)/sqrt(8))*2*-5.
-200*sqrt(17) - 40
Simplify 1*sqrt(288)/sqrt(9)*-1*-5.
20*sqrt(2)
Simplify -6*(sqrt(130) + sqrt(130) + (sqrt(130) - 2*sqrt(130)*-4))/((sqrt(10) - (sqrt(10) + sqrt(490)))*-4).
-33*sqrt(13)/14
Simplify 3 + (sqrt(38)/((sqrt(20)/sqrt(2))/sqrt(5)) - ((2*sqrt(38)*-3)/sqrt(2))**2).
-681 + sqrt(19)
Simplify ((sqrt(324) + sqrt(324)*-2 - sqrt(324))*5 - sqrt(324))/((sqrt(144)/((sqrt(8)/sqrt(2) - sqrt(4)) + sqrt(4)))/sqrt(3)) + -1.
-33*sqrt(3) - 1
Simplify ((sqrt(648)*-1 + sqrt(648))*2)/(sqrt(9)*-1*-5 + sqrt(36)*5).
0
Simplify 5*(4*(sqrt(68) + (sqrt(68) - (sqrt(68)*-1 - sqrt(68))) + sqrt(68)) - sqrt(68)*1*1)/(3*(sqrt(4) + 1*sqrt(4))*4).
95*sqrt(17)/24
Simplify 3 + sqrt(364)/sqrt(7) + -2*(-3 + sqrt(117)).
-4*sqrt(13) + 9
Simplify 4*((sqrt(500) + 0)*3 - (-1 + sqrt(500))*2).
8 + 40*sqrt(5)
Simplify -2 + ((sqrt(171) - (-3 + sqrt(171) + 0)) + sqrt(171) + (sqrt(171) - 2*sqrt(171))*3)**2 + 0.
-36*sqrt(19) + 691
Simplify 1 + -3 + (sqrt(208) + -2 - sqrt(208)) + 0.
-4
Simplify (sqrt(256)*2 - sqrt(16))/(sqrt(512) - (-1*sqrt(512) - sqrt(512))) + 0.
7*sqrt(2)/24
Simplify (6*(2 + sqrt(320) + 2)*1)**2.
2304*sqrt(5) + 12096
Simplify -1*((5 + sqrt(288) + -1)**2 + 1 + (2 + sqrt(288) + sqrt(288))**2).
-1461 - 192*sqrt(2)
Simplify -5 + ((-2*sqrt(17) + -3)**2 + 5 - (3 + sqrt(153) + -1)) + -4.
9*sqrt(17) + 71
Simplify (-1*sqrt(175)*3 + sqrt(175) + 2 + -4 + 4)**2.
-40*sqrt(7) + 704
Simplify -2*(2*sqrt(77)*-1)/(sqrt(110)/sqrt(90)) + -4.
-4 + 12*sqrt(7)
Simplify (-4*sqrt(275)/sqrt(5))/(sqrt(11) - ((sqrt(66)/sqrt(3))/sqrt(2) + sqrt(11))).
4*sqrt(5)
Simplify 5 + (sqrt(343) + 0)*1 + sqrt(343) + -3.
2 + 14*sqrt(7)
Simplify -3*(((sqrt(208) + 2 - sqrt(208))*-4 - sqrt(208))*4*5)**2.
-326400 - 76800*sqrt(13)
Simplify -1*sqrt(52)*-6 - (sqrt(1872) + sqrt(52))/sqrt(4)*5.
-23*sqrt(13)
Simpl | {
"pile_set_name": "DM Mathematics"
} |
e r(v(h)).
-7*h
Let q(r) = -r**2 - r + 1. Let d(m) = 2*m**2 + 4*m - 4. Let h(t) = 3*d(t) + 12*q(t). Let i(g) = -12*g**2. What is h(i(l))?
-864*l**4
Let q(x) = 2*x**2 + 5*x. Let s be 10*1*(-2)/5. Let m(r) = -2*r**2 - 4*r. Let f(g) = s*q(g) - 5*m(g). Let b(i) = -13*i**2. Give f(b(u)).
338*u**4
Let a(h) = 33*h**2. Let l(w) = 10*w**2 - 7*w + 7. Let n(d) = 3*d**2 - 2*d + 2. Let b(i) = 2*l(i) - 7*n(i). Determine b(a(s)).
-1089*s**4
Let y(b) = b**2. Let j(g) = 45*g. Determine j(y(c)).
45*c**2
Let t(f) = -2*f. Let q(o) be the first derivative of -1/2*o**2 + 0*o + 4. What is q(t(n))?
2*n
Let j(p) = -871 + 871 + p**2 + p**2. Let w(b) = 6*b. Let m(z) = -z. Let o(d) = -3*m(d) + w(d). Calculate o(j(k)).
18*k**2
Let m(t) = 968*t**2 + 1. Let l(s) = s. Determine m(l(g)).
968*g**2 + 1
Let r(x) = 2*x**2. Let u(d) = -2*d**2 + 8072*d. Calculate u(r(z)).
-8*z**4 + 16144*z**2
Let m(k) = -8*k. Let l(i) = -10*i**2. Determine m(l(f)).
80*f**2
Let t(p) = -2*p. Let d(z) = -2 - 9 - 13*z + 6*z. Let w(u) = 2*u + 4. Let s(j) = -4*d(j) - 11*w(j). Determine s(t(n)).
-12*n
Let n(k) be the second derivative of -17*k**3/6 + 7*k. Let a(d) = -d. What is n(a(m))?
17*m
Let v(t) = -2*t. Suppose 5*g + 10 = -5*w, 2*g - 4*w + 10 = -0*w. Let z = g + 5. Let s(f) = 0*f + z*f - 3*f. Calculate s(v(c)).
2*c
Let t(u) be the second derivative of u**3/3 - 19*u. Let o(p) = -2*p**2. Determine o(t(b)).
-8*b**2
Let g(p) = -5*p - 6*p + 3*p - 6*p. Let b(h) = -h. Determine b(g(v)).
14*v
Let a(p) be the first derivative of -p**4/12 + p**2 + 3. Let t(o) be the second derivative of a(o). Let n(c) = -5*c**2 - 2*c**2 + 5*c**2. Calculate n(t(f)).
-8*f**2
Let q(w) = -372*w**2. Let r(b) = 2*b**2. Determine r(q(h)).
276768*h**4
Let n(i) = -5*i**2 + 2*i + 2. Let p(u) = u**2 - u - 1. Let v(b) = n(b) + 2*p(b). Let c(z) = z**2 - 3*z**2 - 2*z**2 + 2*z**2. Calculate v(c(k)).
-12*k**4
Let c(r) = -3*r**2 - 3*r**2 + 4*r**2. Suppose 5*s = 5*j + 10, j + 4*j + 3*s - 22 = 0. Let l(v) = j*v - 5*v + v. Determine l(c(f)).
4*f**2
Let l(b) = -5*b. Let i(c) = c**3 - 6*c**2 + c - 1. Let p be i(6). Let s(r) = -2*r + 4*r - p*r + r. What is s(l(k))?
10*k
Let j(v) = -107*v. Let g(a) = -45*a**2. Calculate j(g(l)).
4815*l**2
Let w(b) = 4*b - 4*b - 4*b. Let u(v) = -4*v**2 + 2*v + 2. Let s(o) = o**2 - o - 1. Let x(t) = 2*s(t) + u(t). Determine w(x(k)).
8*k**2
Let v(o) be the third derivative of -1/60*o**5 + 0 + 0*o**3 + 0*o**4 - 5*o**2 + 0*o. Let l(m) be the third derivative of m**4/6 - 2*m**2. Determine l(v(z)).
-4*z**2
Let s(o) = 59 + 2*o - 59. Let i(m) be the first derivative of 0*m - 1/2*m**2 + 2. Determine s(i(f)).
-2*f
Let b(q) = -24*q. Let z(j) = -10*j. Give b(z(i)).
240*i
Let o(h) = -4*h - 5. Let y(x) = 2*x**2 - 3*x. Let c be y(3). Let g = c + -4. Let t(m) = 5*m + 6. Let a(s) = g*t(s) + 6*o(s). Let f(w) = 3*w. Give f(a(n)).
3*n
Let i(f) = f. Let t(u) = -448*u**2. Calculate i(t(v)).
-448*v**2
Let x(a) be the second derivative of -2*a + 0 - 1/3*a**3 + 0*a**2. Let o(s) be the first derivative of 2*s**3/3 - 1. Give x(o(h)).
-4*h**2
Let n(w) = -6*w - 7. Let z(l) = 5*l + 6. Let k(s) = 6*n(s) + 7*z(s). Let v(c) = -37*c**2. Calculate k(v(b)).
37*b**2
Let b(o) = 5*o. Let v(a) = -3*a + 2. Suppose -3 = 4*m + 9. Let r be (-10)/3*(m - -6). Let u(p) = -7*p + 5. Let j(i) = r*v(i) + 4*u(i). Determine b(j(k)).
10*k
Let u(y) = 4*y + 3. Let h(r) = -23*r - 17. Let v(l) = -6*h(l) - 34*u(l). Let k(b) be the second derivative of 0 - 1/3*b**3 + 0*b**2 - 2*b. Give k(v(q)).
-4*q
Let o(a) be the second derivative of a**4/3 + a. Let y(s) = -8*s - 5*s + 14*s. Calculate y(o(b)).
4*b**2
Let h(k) = -k. Let r(z) = -3994*z. Determine h(r(i)).
3994*i
Let a(i) = 2*i. Let q(y) = 2*y - 29. What is a(q(v))?
4*v - 58
Let h(o) be the first derivative of o**2/2 + 6. Let r(m) = -2*m. Give h(r(g)).
-2*g
Let h(f) be the first derivative of -13*f**2 + 6. Let x(y) = -y**2. What is x(h(z))?
-676*z**2
Let p(t) = 5*t**2 + 4. Let u(o) = -4*o**2 - 3. Let x(w) = -3*p(w) - 4*u(w). Let g(f) = 18*f**2. Give g(x(k)).
18*k**4
Let w(z) = -76*z**2. Let b(j) = 3*j**2. Determine b(w(l)).
17328*l**4
Let d(h) = -9205*h. Let s(n) = 2*n**2. What is d(s(z))?
-18410*z**2
Let w(t) = -5*t**2. Let p(r) = -2*r**2 - 147*r + 147*r. Calculate w(p(x)).
-20*x**4
Let t(a) = -8*a. Let g(u) = 12*u**2 - 6*u**2 - 4*u**2. What is t(g(w))?
-16*w**2
Let s(o) be the second derivative of -o**4/12 + 12*o. Let u = 1 - 1. Let y(x) = 2*x**2 - 3*x**2 + u*x**2. Determine y(s(f)).
-f**4
Let f(u) be the first derivative of -u**3/3 - 2. Let b(r) = 13*r. What is f(b(i))?
-169*i**2
Let w(i) = 30*i + 2. Let j(n) = -3*n**2. Give j(w(h)).
-2700*h**2 - 360*h - 12
Let c(t) = -t - 3*t - 2*t**2 + 4*t. Let u(r) = 3 - 3 - 8*r + 3*r. What is c(u(h))?
-50*h**2
Let t(q) = -q**2 + q + 1. Let p(z) = 6*z**2 - 4*z - 4. Let y(d) = -p(d) - 4*t(d). Let m(l) = -20*l. Determine m(y(g)).
40*g**2
Let s(u) = u**2. Suppose 0 = -j - t - 2, 0*j = -2*j + t + 2. Suppose 3*i + 9 = j, -4*m + 2*m = i - 7. Let k(y) = 0*y**2 + m*y**2 - 2*y**2. Calculate s(k(w)).
9*w**4
Let w(q) = 2*q**2. Let h = 7 - 5. Let i(j) = -7*j**h - 65 + 65. Calculate i(w(a)).
-28*a**4
Let a(y) = -y**2. Let v(z) be the first derivative of -z**6/360 + 2*z**3/3 - 3. Let b(l) be the third derivative of v(l). Calculate b(a(s)).
-s**4
Let p be 2/7 + 2/(-7). Let a(h) = p*h**2 - 1 + 1 + 2*h**2. Let r(s) = 0*s**2 + 3*s**2 - 5*s**2. Determine a(r(m)).
8*m**4
Let m(v) be the second derivative of -2*v**3/3 + 44*v - 2. Let k(t) = -4*t. Give m(k(x)).
16*x
Let t(m) = m + 13. Let k be t(-9). Let j(p) = -2*p - k*p + 2*p. Let a(u) = 2*u. Determine j(a(s)).
-8*s
Let l(y) = 0 + 0 + 25*y - 31*y. Let v(h) = 2*h. What is v(l(i))?
-12*i
Let h(q) be the first derivative of q**2/2 + 2. Let t(i) be the third derivative of -i**5/10 + 13*i**2. Calculate h(t(o)).
-6*o**2
Let y(n) = 28*n + 4. Let r(m) = 2*m. Calculate r(y(p)).
56*p + 8
Let j(v) = -24*v**2. Let b(a) = -2*a**2. Determine b(j(s)).
-1152*s**4
Let x(k) = 2*k**2. Let i(l) be the second derivative of l**6/180 - l**3/6 - 2*l. Let m(c) be the second derivative of i(c). Determine x(m(u)).
8*u**4
Let r(v) = -2*v**2. Let m(p) = 11*p**2 - p. What is r(m(h))?
-242*h**4 + 44*h**3 - 2*h**2
Let i(b) = -3*b**2. Let u(j) = 17*j - 5. Let y(w) = 16*w - 4. Let x(v) = 4*u(v) - 5*y(v). Calculate i(x(s)).
-432*s**2
Let h(f) = 2*f**2. Let l = 3 + -1. Suppose 0*y - l*y = -4. Let x(t) = 2*t**2 - 3*t**y - t**2. What is h(x(o))?
8*o**4
Let x(w) = 14*w**2. Let y(b) = -40*b. Give y(x(u)).
-560*u**2
Let f(x) be the third derivative of -x**8/20160 - x**5/60 + 4*x**2. Let d(i) be the third derivative of f(i). Let m(n) = 3*n**2. Determine m(d(k)).
3*k**4
Let d(c) = c. Let f(l) = 9*l**2. Let h(p) = 117*p**2. Let x = -82 + 55. Let r(i) = x*f(i) + 2*h(i). Determine r(d(q)).
-9*q**2
Let u(l) = -2*l. Let x(r) = -5. Let c(j) = -1. Let p(b) = 6*c(b) - x(b). Let w(g) = 11*g + 5. Let i(t) = 5*p(t) + w(t). Determine i(u(m)).
-22*m
Let c(t) be the second derivative of t**4/12 - t. Let v(u) = 2*u. Give v(c(z)).
2*z**2
Let p(w) = w**2. Let k(y) = -1018*y. Calculate p(k(j)).
1036324*j**2
Let x(o) = -o**2. Let i(w) = 11*w - 161. What is x(i(c))?
-121*c**2 + 3542*c - 25921
Let k(m) = -m. Let q(f) be the second derivative of 5*f**4/6 + 4*f. Give q(k(p)).
10*p**2
Let l(f) be the third derivative of f**5/20 - 3*f**2. Let c be (4/(-6))/(1/(-3)). Let g(b) = 4 - 4 + 2*b**c. Calculate g(l(n)).
18*n**4
Let o(c) = 5*c + 3. Let t(k) = -k - 1. Suppose 0 = -5*v + v - 4. Let i(q) = v*o(q) - 3*t(q). Let a(j) = 2*j**2. Determine i(a(b)).
-4*b**2
Let s(h) = -1198*h**2. Let d(t) = -t**2. Give s(d(o)).
-1198*o**4
Let k(u) = u - 15. Let w(a) = 2*a - 25. Let l(o) = 5*k(o) - 3*w(o). Let b(v) = 2*v + 3. Let x(h) = -h - 2. Let t(y) = -2*b(y) - 3*x(y). Determine t(l(d)).
d
Let k(v) = 3143*v**2. Let q(j) = j. What is q(k(h))?
3143*h**2
Let o(i) = i. Suppose -2*j + 1 + 11 = -2*h, -3*h = -4*j + 21. Let a(k) = -j*k**2 - k**2 - 3*k**2 + 3*k**2. What is a(o(d))?
-4*d**2
Let m(h) = -35*h - 96 + 96. Let l(v) = -2*v**2. What is m(l(p))?
70*p**2
Let m(c) = c - 176. Let b(o) = -o. Calculate b(m(j)).
-j + 176
Let u(b) = -2*b**2. Let h(v) = 3*v**3 + v**2 - v. Let d be h(1). Let c(m) be the second derivative of -1/2*m**d + 0*m**2 + 2*m + 0. Give c(u(p)).
6*p**2
Let v(j) = 2*j**2. Suppose -20 = -3*m - 14. Let x(a) be the second deriv | {
"pile_set_name": "DM Mathematics"
} |
se
Suppose -2*a - 44 = -6*a. Is 11 a factor of a?
True
Suppose 2*q - 5*q - 2*o + 135 = 0, -4*q + 3*o = -163. Is 9 a factor of q?
False
Suppose -5*f + 106 = 6. Is 11 a factor of f?
False
Let r = -15 - -36. Suppose 2*t = 5*t + r. Let l(f) = -f**2 - 9*f + 2. Is l(t) a multiple of 8?
True
Suppose -3*i = -5*i - 2*y - 2, -5*y + 2 = -2*i. Let x = 15 - i. Does 6 divide x?
False
Suppose 3*l + 2*l + 15 = 0. Let f = -2 - l. Does 11 divide (6 - f)*10/2?
False
Suppose 5*z - y = 4*y + 380, -4*z - 3*y = -276. Is 18 a factor of z?
True
Suppose -r = 5*i - 3*i - 29, -4*i = -2*r - 38. Suppose -2*d = d - 3*s - 24, -3*d = s - i. Does 6 divide d/(-3 - 30/(-9))?
False
Let v(n) = -n**2 + 12*n + 7. Let b be v(7). Suppose 0 = -4*m + b - 2. Is 5 a factor of m?
True
Suppose 5*m + 81 = -24. Does 7 divide -1*(-3 - m)/(-2)?
False
Suppose 5*d - 5*a - 195 = 0, -2*a + 39 = d + 9. Is 9 a factor of d?
True
Let a(m) = -m**2 + 7*m - 4. Let i be a(6). Let k = i + 4. Suppose k*y - y = 200. Is 16 a factor of y?
False
Let p(w) = -30*w + 11. Does 14 divide p(-8)?
False
Let u = 63 + -39. Is ((-42)/(-4))/(9/u) a multiple of 14?
True
Suppose 4*d + 12 = -2*j, 4*d + d + 15 = -5*j. Does 18 divide 0 + (52 - (j + 3))?
False
Let f = 4 + -2. Let y(r) = 9*r - 4 - 3 + 4 + f*r**2. Does 16 divide y(-7)?
True
Let l be (-1 - -1)*4/(-12). Suppose 2*h - 49 - 61 = l. Is 19 a factor of h?
False
Let b be 1*(-1 - -1 - 5). Let g be b*(-4 - -3)*-17. Let u = g + 143. Does 16 divide u?
False
Suppose 0*v = -v + 5. Suppose 4*g + 12 = 4*k, -6*k + 2*g = -3*k - v. Does 11 divide (2/(-4))/(k/60)?
False
Let b = -59 + 104. Does 12 divide b?
False
Let n = 7 - 6. Suppose -4*x - n + 17 = 0. Is x a multiple of 2?
True
Suppose 5*x = 7*x - 24. Let b = -7 + x. Suppose 0*z = b*z - 170. Does 17 divide z?
True
Suppose -1071 = -36*o + 29*o. Is o a multiple of 51?
True
Suppose -a - 2*a - 6 = 0. Let c be a + 3/3 - -5. Suppose 0 = c*g - 16 - 156. Is g a multiple of 14?
False
Suppose 2*n = 2*i - 0 - 20, 0 = -4*i - 4*n. Suppose 2*k - 2*s - 10 = -4*s, -i*s + 25 = 2*k. Suppose k*f - 29 = -f. Is 13 a factor of f?
False
Is 13 a factor of (37 - -1) + 5 + 42/(-7)?
False
Suppose 5*b - 4*o = 26, 0 = -2*b + b + 5*o + 22. Let f(l) = l**3 + 4 - 4*l**2 + 3*l - b*l**3 - 6. Does 8 divide f(-5)?
True
Suppose -1 = -g - 16. Let w = -11 - g. Is w even?
True
Let i(v) = v**3 + 6*v**2 - 8*v - 2. Let l be i(-7). Suppose -25 = w - 0*w. Is (-8)/l*w/2 a multiple of 10?
True
Let i(r) = 2*r + 9. Let v be i(-4). Is 4 a factor of v/(-4) - (-90)/8?
False
Let b be -17 + 17 + 1 + -3. Does 18 divide b - (3 + -7 + -39)?
False
Suppose 0 = 5*b - 0*r + 4*r + 10, 2*r = 2*b - 14. Let n(i) = 3*i**b - 7*i**3 - 2*i - 1 - 5*i**2 - 28*i**3. Is 13 a factor of n(-1)?
False
Let w(s) = -7*s**2 + 2*s. Let l be w(-2). Let u be (-104)/l - (-1)/(-4). Suppose -28 = -u*g + g. Does 7 divide g?
True
Suppose 2*z = 3*z + 5*u + 4, 4*u = -2*z + 16. Is 8 a factor of z?
True
Let i = 7 + -5. Suppose -i*n + 120 = n. Is n a multiple of 20?
True
Let m(j) = 76*j - 2. Is m(1) a multiple of 37?
True
Suppose d + 192 = 5*d. Let h be (d/2)/2 + -2. Suppose -4*q + 10 + h = 0. Is q even?
False
Suppose 4*d = -5*h - 88, 0 = -3*h - h + 4*d - 56. Let u(q) = q. Let z be u(-6). Does 2 divide (h/z)/(8/12)?
True
Suppose -m + 0*h - 4*h = -13, -3*m = -h - 52. Suppose 3*d - o - o = 46, 0 = -d - o + m. Does 5 divide d?
False
Let w = -2 + 5. Let m(p) = p**3 - 6*p**2 - 7*p - 2. Let d be m(7). Is 54*(-1 - w/d) a multiple of 14?
False
Suppose o = 5*l + 5 - 47, 0 = -o + 3*l - 32. Let w = 31 + o. Is w a multiple of 4?
False
Let l(t) = t**3 - 3*t + 2. Let f be l(2). Suppose -f = -3*o + 2. Suppose o*j - 64 = w - 4*w, 5*j + 10 = w. Is w a multiple of 10?
True
Suppose -4*p - p = 60. Let h = p + 27. Is 5 a factor of h?
True
Does 13 divide ((-16)/(-40))/((-2)/(-390))?
True
Suppose f = -2*b + 11, -f - 5*b = -b - 17. Is 5 a factor of f?
True
Let v = -95 - -22. Let r = 3 - v. Is r a multiple of 23?
False
Let t(i) = -i**2 - 16*i - 13. Let q(f) = f**2 + f - 10. Let h be q(0). Does 19 divide t(h)?
False
Suppose 5 = -r + 12. Let g(d) = -d**3 + 6*d**2 + 11*d - 4. Is 24 a factor of g(r)?
True
Let g(w) = w**2 - 2*w + 1. Let q be g(5). Is 2 a factor of 3 + 12/(q/4)?
True
Suppose -2*f - l + 274 = 2*l, -8 = -4*l. Is f a multiple of 19?
False
Suppose -2*z + 504 = 2*z. Let u be (1/3)/(2/z). Suppose 4*c - c = u. Is c even?
False
Let s(i) = i**2 - 2*i. Let d be s(3). Suppose -d*y - 2*y = -70. Does 8 divide y?
False
Does 10 divide (-9 - -4)*(-3 + -3)?
True
Suppose 2*h + 5*v - 35 = -h, -5*v - 35 = -4*h. Suppose -4*l + h = -2*l. Is l even?
False
Let w be (105/6)/(-7)*-4. Does 18 divide 15/w*8*3?
True
Does 12 divide (-644)/(-6) + (-32)/(-48)?
True
Let n = -2 - -1. Does 22 divide (n - -4 - 2) + 43?
True
Is 21 a factor of (3 + -3)/2 - 0 - -132?
False
Let l be ((-2)/(-3))/((-12)/(-90)). Suppose 0 = -l*y + 2*y - 165. Let q = y - -92. Does 13 divide q?
False
Suppose -2*t - 29 - 19 = -2*y, -3*t = 0. Does 4 divide y?
True
Let g be (1 - (-9)/(-2))*2. Let a(v) = -v**2 - 9*v + 10. Is a(g) a multiple of 8?
True
Let y(h) = h**3 + 10*h**2 + 5*h - 10. Does 4 divide y(-9)?
False
Let n be 33/(-22)*(-8)/6. Suppose 4*p = -n*s + 2*p + 74, -5*p = -s + 19. Is s a multiple of 17?
True
Does 15 divide (-1)/(0 + 4/(-88))?
False
Let o = -7 - -15. Suppose 0 = -3*k + k - o, -4*m - 2*k = -4. Suppose -5*r + 128 = m*l, 0*r + r - 40 = -l. Does 13 divide l?
False
Suppose -2*u + j = -3*j - 38, j = -5*u + 40. Suppose 3*f - 2*g + 7 = 0, -4*f = -3*f - 2*g + u. Let v(q) = 9*q**3 - q**2. Does 4 divide v(f)?
True
Let n be (-3)/(-2)*8/6. Suppose 0 = 6*m - n*m - 64. Let t = m - 8. Does 4 divide t?
True
Suppose -36 = -2*l + 3*x, 2*l + 4*x - 47 = -11. Let i(f) = 2*f + 2*f + l + f**3 - 9 + 7*f**2. Is i(-6) a multiple of 13?
False
Let u = 115 - 73. Is u a multiple of 7?
True
Is 7 a factor of -2 + (-7)/(-3) + 251/3?
True
Let n = -111 - -11. Let x = 56 + -115. Let o = x - n. Is o a multiple of 19?
False
Let t be -3*(-2)/(-1)*(-3)/9. Suppose -p + 5*v = -4, v = 5*p - 34 - 58. Suppose -t*i + 45 - p = 0. Does 8 divide i?
False
Let m(y) = -27*y + 2. Let g be m(-2). Let d = -116 + g. Let r = 102 + d. Is r a multiple of 21?
True
Let z(y) = 58*y**2 + y. Let d be z(1). Suppose -13 = -4*i + d. Is 9 a factor of i?
True
Suppose 3*p = m + 20, 6*p - p - 45 = 4*m. Is p a multiple of 5?
True
Suppose 8 = -2*n + 32. Does 12 divide n?
True
Let r(o) = o + 1. Let v(k) = -4*k - 5. Let x(f) = 11*r(f) + 2*v(f). Let j be x(5). Suppose 0 = -3*a + 2*a + j. Is a a multiple of 15?
False
Suppose 0 = -s - 0 + 5. Suppose s*g - 35 = -4*x, -3*g - 6 = -3. Is x a multiple of 10?
True
Let q = 3 + 1. Suppose -4*u - y = -103, -109 = -4*u + q*y + y. Is 13 a factor of u?
True
Suppose 3 + 3 = -g. Let i be ((-3)/g)/(1/66). Suppose 7 = 2*t - i. Is t a multiple of 13?
False
Let z(a) = -5*a**3 - 2*a + 1. Let b be z(1). Let t = 2 - b. Let v = 13 - t. Is v a multiple of 5?
True
Let c(j) = -3*j + 5. Does 13 divide c(-20)?
True
Let o be (-1*1)/((-6)/30). Let l(z) = -z**3 + 4*z**2 + 6*z + 6. Is 6 a factor of l(o)?
False
Let l(s) = -11*s - 41. Is 4 a factor of l(-7)?
True
Let f(t) = -3*t + 9. Let g(o) = 3*o**2 - 4*o + 3. Let s be g(2). Let c be f(s). Does 9 divide c*((-33)/12 - -2)?
True
Suppose 0 = 2*b - i + 23, -2*i = -5*b + 3*b - 28. Let h(r) = -r + 3. Let g be h(0). Is 24 a factor of (177/b)/((-1)/g)?
False
Let n(f) = f - 9. Let z be n(5). Is -40*(14/z - -3) a multiple of 10?
True
Let x be -1*(1 + -2)*0. Let t = 2 + x. Is 2 a factor of t?
True
Let d = 4 - -4. Suppose -h + 27 = 2*g, -g = -3*h - 9 - d. Does 7 divide g?
True
Let y be 8/6*(-12)/8. Does 5 divide -2*(-1 - -3)*y?
False
Suppose 4*t - t - 93 = 0. Suppose 3*p - t + 1 = 0. Suppose 0 = -2*m + 4*m - p. Does 4 divide m?
False
Let o(w) = -w**2 + 8*w - 5. Let s be o(7). Let j = 6 - s. Does 4 divide j?
True
Let x(a) = a**3 + 13*a**2 + 10. Let c be x(-13). Let s = c + 15. Does 7 divide s?
False
Suppose -3*v - 3 = 0, -5*v - 21 = -0*z - 4*z. Suppose 6 = z*q - 2*q. Suppose 2*m = 9 - q, m = 3*f - 18. Does 7 divide f?
True
Suppose -5*h + 2*x + x + 105 = 0, -5*x + 29 = 3*h. Let a = 25 - h. Is a/2 - 4/(-8) a multiple of 2?
True
Suppose 3 = -2*h + 5. Let j(c) = h + 0 + 3 + c. Is 4 a factor of j(0)?
True
Let l = 6 + 0. Suppose -5*u - 2*x + 571 = 0, 2 = -2*x + x. Suppose m + u = l*m. Does 16 divide m?
| {
"pile_set_name": "DM Mathematics"
} |
equence um when two letters picked without replacement from {z: 2, r: 8, m: 1, u: 5, g: 1}.
5/272
Three letters picked without replacement from xosqsbqqbqoqqosxoqob. Give prob of sequence bbx.
1/570
What is prob of sequence oer when three letters picked without replacement from {n: 1, r: 8, k: 2, o: 1, e: 6}?
1/102
Calculate prob of sequence peha when four letters picked without replacement from ppepppphaaah.
1/330
Three letters picked without replacement from {t: 1, d: 1, m: 1, u: 1, b: 1}. What is prob of sequence utd?
1/60
Calculate prob of sequence grqd when four letters picked without replacement from gdgdrgrqdrggddrdddgg.
28/14535
Calculate prob of sequence bbb when three letters picked without replacement from bbbbb.
1
Three letters picked without replacement from jqqqqqqqgqjqqqqqq. What is prob of sequence qqq?
91/170
Calculate prob of sequence opw when three letters picked without replacement from {w: 1, g: 1, o: 1, p: 1, j: 3}.
1/210
Four letters picked without replacement from iyiyiyyiyyifyyyiyyy. What is prob of sequence fiiy?
5/1292
Two letters picked without replacement from {q: 1, v: 2, d: 1, g: 1}. What is prob of sequence dq?
1/20
Four letters picked without replacement from {z: 2, s: 1, x: 1, m: 1, k: 2}. What is prob of sequence xzkz?
1/210
Three letters picked without replacement from {b: 1, v: 1, j: 1, d: 1, i: 1}. Give prob of sequence jvi.
1/60
Calculate prob of sequence xxwx when four letters picked without replacement from hwhxxxhxxxxxxxx.
11/364
Four letters picked without replacement from {t: 1, c: 2, s: 2, o: 1, z: 1, d: 2}. Give prob of sequence sdts.
1/756
What is prob of sequence we when two letters picked without replacement from mbewrnn?
1/42
What is prob of sequence ny when two letters picked without replacement from {h: 9, w: 1, n: 5, x: 1, y: 1}?
5/272
What is prob of sequence pxx when three letters picked without replacement from {l: 3, x: 6, p: 4, u: 1, r: 2}?
1/28
Calculate prob of sequence dm when two letters picked without replacement from {d: 5, n: 6, m: 4, l: 4}.
10/171
Three letters picked without replacement from kqkqkkkqkkqkkqkqkk. Give prob of sequence qqq.
5/204
Two letters picked without replacement from {s: 10, y: 6, m: 2}. What is prob of sequence sy?
10/51
Two letters picked without replacement from {r: 1, p: 2, c: 1, i: 1, e: 4}. What is prob of sequence re?
1/18
Three letters picked without replacement from {d: 7, z: 1, o: 4, y: 2}. What is prob of sequence zyd?
1/156
Three letters picked without replacement from {m: 2, s: 3, p: 7, w: 1, v: 1}. What is prob of sequence mpm?
1/156
Calculate prob of sequence uoi when three letters picked without replacement from iuuuuuuuuuyouuuuioi.
13/969
Calculate prob of sequence mmx when three letters picked without replacement from mrxmxr.
1/30
Two letters picked without replacement from ptpmtpmmmmpppp. What is prob of sequence mt?
5/91
Two letters picked without replacement from {q: 5, i: 3}. Give prob of sequence iq.
15/56
Two letters picked without replacement from olbblolblllblbl. Give prob of sequence oo.
1/105
Four letters picked without replacement from {t: 2, o: 4, g: 1, v: 1, l: 2}. Give prob of sequence tgot.
1/630
Two letters picked without replacement from yyce. Give prob of sequence cy.
1/6
Three letters picked without replacement from {y: 1, u: 1, z: 1}. What is prob of sequence zuy?
1/6
What is prob of sequence nmf when three letters picked without replacement from {f: 1, n: 4, m: 2}?
4/105
Four letters picked without replacement from kdkokqwookdopok. What is prob of sequence wqqw?
0
What is prob of sequence wl when two letters picked without replacement from lwl?
1/3
Three letters picked without replacement from {d: 9, l: 2}. What is prob of sequence ldl?
1/55
Calculate prob of sequence ej when two letters picked without replacement from ejkkkeekhjjjk.
1/13
Three letters picked without replacement from {s: 1, l: 1, y: 2, b: 1}. Give prob of sequence slb.
1/60
Two letters picked without replacement from {t: 2, x: 2, w: 1, y: 9}. Give prob of sequence ty.
9/91
Calculate prob of sequence zuv when three letters picked without replacement from dubzbunvd.
1/252
Calculate prob of sequence ir when two letters picked without replacement from imiricj.
1/14
Two letters picked without replacement from {b: 1, y: 1, n: 2, r: 2, h: 2, w: 4}. What is prob of sequence hy?
1/66
Calculate prob of sequence rrz when three letters picked without replacement from zzzbbbrbrbrrbbbr.
1/56
What is prob of sequence rr when two letters picked without replacement from riiiiirirr?
2/15
Calculate prob of sequence bbb when three letters picked without replacement from {b: 6}.
1
What is prob of sequence lw when two letters picked without replacement from {y: 1, l: 1, w: 2, x: 1, n: 2, g: 1}?
1/28
What is prob of sequence ygul when four letters picked without replacement from yuuggullgx?
1/280
Calculate prob of sequence dg when two letters picked without replacement from {i: 4, d: 6, g: 4}.
12/91
Calculate prob of sequence zzk when three letters picked without replacement from zzkz.
1/4
Two letters picked without replacement from {i: 4, p: 16}. Give prob of sequence ii.
3/95
Three letters picked without replacement from rrerrrrrrrrrrrr. What is prob of sequence rre?
1/15
What is prob of sequence wbi when three letters picked without replacement from iwiqiidbiiiqiiddqdq?
1/646
What is prob of sequence rurq when four letters picked without replacement from uquddqrrdrdrudddrdu?
5/2907
What is prob of sequence hpno when four letters picked without replacement from noohelohlpehoeo?
1/2184
Four letters picked without replacement from {a: 1, x: 1, o: 1, n: 3, k: 2, l: 3}. Give prob of sequence knxn.
1/660
Calculate prob of sequence zgs when three letters picked without replacement from {g: 3, z: 1, s: 5}.
5/168
Three letters picked without replacement from {s: 2, o: 3}. What is prob of sequence sso?
1/10
What is prob of sequence fs when two letters picked without replacement from {s: 3, w: 1, f: 1}?
3/20
Calculate prob of sequence slll when four letters picked without replacement from slslsl.
1/20
Two letters picked without replacement from crwwcrww. Give prob of sequence wr.
1/7
What is prob of sequence yy when two letters picked without replacement from bbybybybyyss?
5/33
Three letters picked without replacement from vdbtvbdddttbtbvddv. What is prob of sequence bvd?
1/51
Calculate prob of sequence ff when two letters picked without replacement from xxxgxxxxxxfffxxfffj.
5/57
What is prob of sequence aa when two letters picked without replacement from paaapapppppppppppp?
2/51
What is prob of sequence zeez when four letters picked without replacement from zeezzee?
3/35
Calculate prob of sequence gy when two letters picked without replacement from uygyu.
1/10
Three letters picked without replacement from mmm. Give prob of sequence mmm.
1
What is prob of sequence ao when two letters picked without replacement from {d: 1, i: 1, g: 1, o: 1, a: 1}?
1/20
What is prob of sequence qhhq when four letters picked without replacement from {q: 3, h: 3}?
1/10
Four letters picked without replacement from xzwqqwyxxwqxx. What is prob of sequence xyxq?
1/286
Four letters picked without replacement from {v: 1, y: 4, c: 4, h: 1}. What is prob of sequence vhyc?
1/315
Two letters picked without replacement from {i: 1, s: 2, q: 9, f: 8}. What is prob of sequence si?
1/190
Three letters picked without replacement from nknssqnfsqokfn. Give prob of sequence nsq.
1/91
Four letters picked without replacement from {g: 3, x: 2, b: 1, j: 1}. What is prob of sequence bxgx?
1/140
What is prob of sequence hh when two letters picked without replacement from {h: 2, a: 4}?
1/15
Four letters picked without replacement from eekkeektetmeegeeg. Give prob of sequence tgme.
3/4760
Four letters picked without replacement from {f: 3, x: 1, j: 5, e: 1}. What is prob of sequence xfff?
1/840
Calculate prob of sequence ih when two letters picked without replacement from iikhffisikfii.
1/26
Four letters picked without replacement from {x: 4, o: 4, r: 9}. What is prob of sequence ooro?
9/2380
Three letters picked without replacement from {z: 6, l: 2, v: 3, c: 4}. Give prob of sequence llv.
1/455
What is prob of sequence pg wh | {
"pile_set_name": "DM Mathematics"
} |
der when 85 is divided by 29/(-4)*(-1 + l/2).
27
What is the remainder when ((-3)/4 + (-23506)/552)*-3 is divided by 66?
64
Suppose y = -9 + 1. Let n = y - 18. Let w = -7 - n. Calculate the remainder when 75 is divided by w.
18
Suppose 5*h - 330 + 55 = 0. Suppose y + h = 2*y. Suppose 0 = -19*j + 401 - 40. What is the remainder when y is divided by j?
17
Suppose 759*m = 770*m - 1276. What is the remainder when 463 is divided by m?
115
Suppose 59*l - 424 = 5122. What is the remainder when 352 is divided by l?
70
Suppose 2 + 4 = 3*y. Suppose -2*h + 8 = 2*h, -h = y*b - 116. What is the remainder when b is divided by 15?
12
Let j = 819 + -803. Let f be 78 + (-4)/6*3. Let m = -15 + f. What is the remainder when m is divided by j?
13
Suppose -h = m - 16, 4*m + 3*h + 11 = 72. Suppose -4*t + 31 + m = 0. What is the remainder when 16/6*39/2 is divided by t?
8
Suppose -4*a + 4*c = -c - 276, 0 = a - 5*c - 69. Calculate the remainder when a is divided by 12.
9
Let b be (-5)/(20/(-12)) - -2. Suppose -b*v + 181 = -114. Suppose -5*m + 30 = o, 0*o + 3*m - 84 = -5*o. Calculate the remainder when v is divided by o.
14
Let u = 204 + -196. What is the remainder when 63 is divided by u?
7
Let b = 10 - 8. Suppose -b*o + 34 = -4*z, 7*z - 2*z + 5*o + 65 = 0. Let x(r) = -13*r. What is the remainder when x(z) is divided by 33?
31
Let y = 29 + -19. Calculate the remainder when 13 is divided by 6/16*(y + -2).
1
Calculate the remainder when (0 - -98) + 2 - (109 + -115) is divided by 50.
6
Let h = -6 + 23. Let a(o) = -o**3 - 4*o**2 - 6*o - 1. Let u be a(-3). Suppose -3*f - 30 = -u*f. Calculate the remainder when h is divided by f.
5
Suppose 6*h - 676 = 1160. Let p = h - 4. What is the remainder when p is divided by 38?
36
Suppose -35*w = -8*w - 1674. What is the remainder when w is divided by 21?
20
Suppose 0 = 3*f - 81 + 9. What is the remainder when 1 + 2 + (-7 - -46) is divided by f?
18
Let h(a) = -a + 7. Let v be h(6). Let p = v + 7. Suppose 0 = p*i - 12*i + 204. What is the remainder when i is divided by 13?
12
Let s(c) = 4*c**2 - 3*c - 6. Let d be s(6). Suppose 5*u = w + 684 - d, -3*w - 460 = -4*u. Calculate the remainder when u is divided by 38.
36
Let h(q) = -q**3 + 5*q**2 + 7*q - 4. Let z be h(6). Suppose 5*y + 4*l = 2*l + 62, 0 = -z*y - 4*l + 28. Calculate the remainder when 22 is divided by y.
10
Suppose -118*q + 120*q = 48. What is the remainder when q is divided by 5?
4
Suppose -3*d + 207 = 3*r, -d + 148 = 2*r + 3*d. Calculate the remainder when r is divided by (-4)/(-20) + 118/10.
4
Suppose 0 = -2*x - 2*x + 12, -b - 3*x = -12. What is the remainder when 26 is divided by b?
2
Let x = -1292 + 1313. What is the remainder when 206 is divided by x?
17
Suppose 186 = 4*s - 2*h - 294, -3*s + 4*h = -355. What is the remainder when s is divided by 32?
25
Suppose -2*m + 20 = 3*y, -4*y = 2*m + 3*m - 43. Calculate the remainder when 25 is divided by m.
4
Suppose -4 = 4*c + 4*u, 0 = -4*u - 5 - 11. Suppose 2*l + c*s + 7 = 0, -3*l - s = -6*l + 6. What is the remainder when 3 is divided by l?
0
Suppose -53 = -5*q + 2. What is the remainder when q is divided by 24/84 - (-1 + (-24)/14)?
2
Let p be -1 - (-3 + 2)*6. Suppose -42 = -r - 2*r - p*w, -w = 0. Suppose 0 = 11*y - 111 - 164. What is the remainder when y is divided by r?
11
Let j = 63 - 26. Suppose 0*k + 52 = -k. What is the remainder when j is divided by 40/(-100) + k/(-5)?
7
Suppose 15*f = 34*f - 21831. What is the remainder when f is divided by 18?
15
Suppose 59 + 688 = 3*q - i, 5*q - 1245 = 3*i. Let c = -360 + 410. What is the remainder when q is divided by c?
49
Suppose 0 = -10*j - 103 + 853. What is the remainder when 221 is divided by j?
71
Let f(u) = u**3 + 4*u**2 - 3*u. Let o = 59 + -37. What is the remainder when o is divided by f(-4)?
10
Let n(g) = g**2 - 72. Calculate the remainder when n(-16) is divided by 47.
43
Let s(v) = -v**2 - v - 110. Let r be s(0). Let g = 237 + r. Suppose 5*o - g + 2 = 0. Calculate the remainder when 73 is divided by o.
23
Suppose -246 = -4*i + 4*y - 70, i = 5*y + 48. Let n = 125 - 103. Calculate the remainder when i is divided by n.
21
Let y = 72 + -33. Calculate the remainder when y is divided by 10.
9
Suppose -8*h + 4*h = -3*z + 268, -z - h = -80. What is the remainder when z is divided by 11?
7
Let f(j) = 2*j**2 - 11*j - 92. What is the remainder when 44 is divided by f(11)?
15
Suppose 15 = 5*h, 5*h = -m - 0*h + 60. Calculate the remainder when m is divided by 29.
16
Let z = -466 - -477. Let i(p) = -p**3 - 6*p**2 - 7*p + 1. Let x(k) = 7*k**3 + 2*k**2 + k. Let c be x(-1). What is the remainder when i(c) is divided by z?
10
Suppose -15*c + 281 + 1774 = 0. Suppose 56 = 6*k - 2*k. Calculate the remainder when c is divided by k.
11
Suppose -b + 5 = 1. Suppose b*u - 131 = 5. Suppose 3*w + u = 4*k, k - 2*k + 3*w + 4 = 0. Calculate the remainder when 37 is divided by k.
7
Suppose 5*q - 12*q + 105 = 0. What is the remainder when q is divided by 11?
4
Suppose -b - 3*o = 9 - 130, -5*b + 2*o = -639. Calculate the remainder when b is divided by 13.
10
Suppose 0 = -10*o + 15*o - 15. What is the remainder when 23 is divided by o?
2
Suppose 5*k = -2*t + 41, 2*t - 32 = -3*k - 9. What is the remainder when 17 is divided by k?
8
Suppose 0 = 3*i + 9, 3*r + 3*i = 5*r - 19. Suppose -r = n - 16. Suppose -932*a = -939*a + 287. Calculate the remainder when a is divided by n.
8
Let l = -148 - -177. What is the remainder when l is divided by 13?
3
Let b = -171 + 224. Calculate the remainder when 53 is divided by b.
0
Let t(l) = l + 13. Let y be t(-13). Let d be 206/2 + -4 + y. Suppose 2*x = 4*x - 5*i - d, -5*i - 37 = -x. Calculate the remainder when x is divided by 32.
30
Suppose 72 = -54*f + 57*f. What is the remainder when 69 is divided by f?
21
Suppose 0 = -2*l + 346 - 282. What is the remainder when 253 is divided by l?
29
Let x = 46 - 15. Suppose l - 23 = x. What is the remainder when l is divided by 19?
16
Let u = 171 - 118. Let x = -5 - -16. What is the remainder when u is divided by x?
9
What is the remainder when (12/24)/((-4)/(-3208)) is divided by 102?
95
Suppose 5*f = 4*y - 282, f + 108 + 182 = 4*y. Calculate the remainder when y is divided by 13.
8
Suppose 8*l + 812 + 972 = 0. Let z = -158 - l. What is the remainder when z is divided by 22?
21
Let q be 0/(6/(-2) - -2). Suppose q = z - 2*t - 3 - 2, 15 = 3*z + t. Suppose z*x - 134 = 3*x. Calculate the remainder when x is divided by 34.
33
Suppose 7*p - 3*x = 8*p - 37, 3*x - 245 = -5*p. Calculate the remainder when 91 is divided by p.
39
Suppose -q - 16 + 94 = 0. Calculate the remainder when 94 is divided by q/4 + 10/(-4) + 2.
18
Suppose w = -2*l, 2*w - 2 = -2*l - 0. Suppose 5*j - 265 = -5*u, -4*u = -w*j + u + 134. What is the remainder when j is divided by 15?
12
Suppose 0 = 2*n - n - 2. Let i(w) = 2*w**2 - 3*w**n + 3*w - 12*w - 5. What is the remainder when 11 is divided by i(-8)?
2
Let j(z) = z**3 + 4*z**2 + 5*z + 3. Let d be j(-3). Let l(o) = -o - 1. Let q be l(d). What is the remainder when 5 is divided by 6*((-1)/q - -1)?
2
Suppose s + 19 = 52. Suppose -r + 72 = r. Let g = r + -24. What is the remainder when s is divided by g?
9
Let a(t) = 8*t**3 + t**2 - 29*t + 102. What is the remainder when a(4) is divided by 65?
59
Suppose -5825 + 1778 = -19*p. What is the remainder when p is divided by 73?
67
Let t(b) be the second derivative of b**4/12 + b**3/3 - 3*b**2/2 + 19*b. What is the remainder when 34 is divided by t(-5)?
10
Let v = 0 + 5. Suppose 4*y - 37 = v*o, -3*y + 0*y + 19 = 5*o. Calculate the remainder when 38 is divided by y.
6
Suppose 4*g - 13 - 3 = 0. Let s = 11 + -4. Calculate the remainder when 7 is divided by 22/s - g/28.
1
Let q(f) be the third derivative of f**5/60 - f**4/12 - 5*f**3/3 - 5*f**2. Let z be q(10). Suppose 0 = o - z + 7. What is the remainder when o is divided by 22?
19
Suppose -5*v - 84 = -19*v. Suppose v*j + 52 = 718. Suppose -4*z = 4*h - 80 - 28, -z + 25 = 3*h. Calculate the remainder when j is divided by z.
27
Let j = 1992 - 1890. Calculate the remainder when 373 is divided by j.
67
Let d be (8/14)/((-24)/(-84)). Let g(i) = -2 - 5*i**2 + 1 - d*i**3 + 3*i**3 + 5 + 3*i. Calculate the remainder when g(5) is divided by 5.
4
Let d(p) = -p**2 - 18*p + 26. What is the remainder when 75 is divided by d(-18)?
23
Suppos | {
"pile_set_name": "DM Mathematics"
} |
g) 2/15
d
Which is the third biggest value? (a) 1 (b) -5.6 (c) -2735/16
c
What is the third biggest value in 222, -5, -3, 5, -2/27, -18, 1/2?
1/2
What is the third biggest value in 64, 19, 1373, -3?
19
What is the smallest value in -6, -1, 1/7, -14/129, 10?
-6
Which is the biggest value? (a) 3 (b) 11.2 (c) -0.39 (d) 52 (e) -0.02 (f) -4
d
Which is the third smallest value? (a) 11 (b) -2 (c) -5.2 (d) 5 (e) -2/1261
e
Which is the third biggest value? (a) 39 (b) 0.6 (c) 8 (d) 34850
c
What is the fourth biggest value in -0.4, -3/2, 138, 0.08, 0.4, -0.1?
-0.1
What is the second biggest value in -2/19, -1348, 310?
-2/19
What is the third smallest value in -2, -199930, 0, 2, -1?
-1
Which is the fifth smallest value? (a) 44/5 (b) -3 (c) -439 (d) 5 (e) -0.3 (f) 0
d
What is the fifth biggest value in 0.2, 0.056, 2/21, 1119, -0.06?
-0.06
What is the sixth biggest value in 133185, 0.9, -0.4, 3, 0.2, 2?
-0.4
What is the biggest value in 2, -4757, 106, -0.03?
106
What is the second biggest value in -6/7, -351, -8, 321?
-6/7
Which is the third smallest value? (a) -1.03 (b) -0.13 (c) 443 (d) 7
d
Which is the third biggest value? (a) -54 (b) 0.0147 (c) 71
a
What is the biggest value in -0.74, -1, 1, 269, 5/8?
269
Which is the second biggest value? (a) 1 (b) -0.42 (c) 22 (d) -0.05
a
Which is the biggest value? (a) -2.9 (b) -168 (c) 2 (d) -4 (e) -8 (f) 1/18 (g) -5
c
What is the third biggest value in 0.3, 433492, 4/11?
0.3
Which is the third smallest value? (a) -2/5 (b) 0 (c) -162/5 (d) -2 (e) 1/3 (f) -0.2 (g) 2/15
a
Which is the second smallest value? (a) 2 (b) 0 (c) -121.7 (d) -0.5 (e) 2/31 (f) 0.4 (g) 2/11
d
Which is the biggest value? (a) -73 (b) 2 (c) 0.5 (d) 4648
d
What is the second smallest value in 177, 5, 4, 0.4, 1516, -0.4, -3/5?
-0.4
Which is the third biggest value? (a) 10/19 (b) 0.1 (c) 48.8787
b
Which is the third biggest value? (a) 0.0578 (b) 3/2 (c) -114 (d) 0.2 (e) 1
d
Which is the seventh biggest value? (a) 2/17 (b) -3 (c) -1 (d) 2 (e) 4 (f) 158 (g) 0.06
b
What is the fourth smallest value in 3, -3, 1889, -3/172, 4, 0.2?
3
What is the fourth smallest value in 3/4, 7123, 1/21, -22?
7123
What is the fifth smallest value in -0.5, -2, 1/11756, -2/5, 2/9, 0?
1/11756
Which is the sixth smallest value? (a) -0.08 (b) 95/6 (c) 7 (d) -7/3 (e) -0.2 (f) -1 (g) 1
c
Which is the third biggest value? (a) -3/2 (b) -3 (c) -33 (d) 2/11 (e) 1 (f) 89
d
Which is the third biggest value? (a) 472.2 (b) -4 (c) -0.3 (d) 0.3 (e) 0
e
What is the fourth smallest value in 2/67, 67, -3, 0.5, 1/3, -4?
1/3
What is the fourth smallest value in 0.05, -0.1, 1, -52/17, -2/127, 0.5?
0.05
What is the fifth biggest value in -7.4, -2/7, 0.1, 27, -2/21, -26, 1/3?
-2/7
Which is the sixth biggest value? (a) -38 (b) -4 (c) 167/15 (d) 2/9 (e) 3 (f) 1/3
a
What is the sixth smallest value in -0.02, 8/9, -1/3, -4/5, -200, 3/13?
8/9
What is the biggest value in 3, 32465, -542?
32465
Which is the third smallest value? (a) 0.3 (b) 157921 (c) 0.18
b
What is the second biggest value in -1/8, -3/8, 85, -38, 3.8, 2, -4/7?
3.8
What is the fourth biggest value in -0.3, -831799, -9, -1/7, 2?
-9
Which is the biggest value? (a) -6 (b) -3072177 (c) -1/3
c
What is the sixth biggest value in -5, 0, 4, -4/247, -0.1, 9, 2/15?
-0.1
What is the fifth smallest value in 0.67, 0, 2174, 3, 5?
2174
Which is the third biggest value? (a) -5 (b) -3 (c) -0.0321 (d) 11 (e) -2/9
e
What is the third biggest value in -5.2, 2.36, 1173.2?
-5.2
What is the third smallest value in -1, -5.255946, -2, -5?
-2
Which is the fifth smallest value? (a) 0 (b) 0.04 (c) 12441647 (d) 1/9 (e) -3/2
c
Which is the sixth smallest value? (a) 0.4 (b) 5 (c) -282 (d) 0.0623 (e) 8/5 (f) -1/8
b
Which is the seventh biggest value? (a) -4/3 (b) 0.077 (c) 0.6 (d) -4 (e) -15 (f) -1/16 (g) 0.5
e
What is the third biggest value in -5, -1/4, 14947112?
-5
Which is the sixth biggest value? (a) 0.12675 (b) -1 (c) -4 (d) 0.4 (e) 1/2 (f) -0.2
c
Which is the seventh biggest value? (a) -0.16 (b) -2 (c) -1 (d) 7/2 (e) 2/509 (f) -28 (g) 1
f
Which is the third biggest value? (a) -112 (b) -7/4 (c) -2/9 (d) -2/31 (e) 1/4 (f) -3
c
What is the second biggest value in -4, 0.3, 5, -3, 3, 967074?
5
Which is the third biggest value? (a) -0.02 (b) 1/5 (c) 712 (d) 5 (e) -2/13 (f) -3/4
b
What is the smallest value in 70/3, -0.08, -4/5?
-4/5
What is the biggest value in -36, 245/18, -0.03?
245/18
Which is the second smallest value? (a) -5.2 (b) -0.6 (c) -1019 (d) -2/7
a
Which is the second smallest value? (a) 5/6 (b) 19/17 (c) -0.76
a
What is the sixth biggest value in -13, -1/8, -6, 0, 3/25, 2, -0.5?
-6
What is the second smallest value in -0.026475, -0.3, -2/11, -2/7, -3/4?
-0.3
Which is the second biggest value? (a) -5 (b) 2/17 (c) 0.3 (d) 312.31 (e) 3/7
e
Which is the seventh smallest value? (a) -5 (b) -2 (c) -1/5 (d) 116 (e) -3815 (f) -1 (g) 1
d
Which is the sixth smallest value? (a) 8 (b) 4.31 (c) 3 (d) -11/8 (e) 0.3 (f) 3/2 (g) -1
b
Which is the fifth smallest value? (a) 20.5 (b) -25 (c) 0.2 (d) 1 (e) -2/277
a
What is the smallest value in 93.67, 1, -512?
-512
What is the fourth smallest value in 0.1, -77, 2/9, -0.7, 3/22, -1?
0.1
What is the sixth smallest value in -1/2, -0.07, 8, 5, 0.3, -6, -5/88?
5
What is the fourth biggest value in 4.603, -2/7, -2/11, 13?
-2/7
What is the second biggest value in -0.5, -1.3, 2027, 2/3?
2/3
Which is the second biggest value? (a) 2/5 (b) 784185 (c) -3 (d) -37
a
What is the biggest value in -0.1, -3/7, 2, -4, -520/3, -1/14?
2
What is the sixth smallest value in 0.5, -41/3, -47, 0.3, 0.137, -3, -0.5?
0.3
What is the fifth biggest value in -37, -4, -10, -33, 0.1?
-37
What is the sixth biggest value in -2/9, -1/3, -0.5, -5, 35, 5/26?
-5
What is the smallest value in 4, 3, 10/7, -3, 2, -153.87?
-153.87
Which is the second biggest value? (a) 0.2 (b) 123312 (c) -4.79 (d) 0.1
a
Which is the fourth smallest value? (a) 3 (b) 2/177 (c) 10092 (d) -3/2 (e) 2/7 (f) 1 (g) 5
f
What is the third smallest value in 0.1, -23367, 246?
246
Which is the third biggest value? (a) -0.804 (b) 2/7 (c) -178/21
c
What is the fourth smallest value in 5/6, -38, -5, 158, -1/4, -0.3, -3/7?
-0.3
Which is the biggest value? (a) 4 (b) -3 (c) 0.1 (d) 568590
d
What is the fifth smallest value in 2/5, 43, 0.1, -0.4, 4, -144/157?
4
Which is the sixth biggest value? (a) -0.293 (b) -36 (c) -3 (d) 2/3 (e) -0.5 (f) 0.036
b
What is the fifth smallest value in 15, 5/2, -4/7, -477.5, 5, -3?
5
What is the biggest value in 5066, 5, -2, -13, -0.25?
5066
Which is the second smallest value? (a) 0.1 (b) -0.3 (c) -1.1 (d) -2 (e) -0.2849 (f) 4
c
Which is the fifth smallest value? (a) -0.06 (b) -1/4 (c) -3/88 (d) -0.239 (e) -3/8
c
What is the fourth smallest value in -1815, -0.06, 5, -3/7, 25, 0.4?
0.4
Which is the second biggest value? (a) 13 (b) -5 (c) 5 (d) 1.3 (e) -2.14 (f) 4
c
What is the fifth smallest value in 6/11, 0, 2, -26.302, 32, -0.5?
2
What is the third smallest value in -3/20, 77, -2/3, 0.23, 0.8, 2/3?
0.23
Which is the third smallest value? (a) -28 (b) 0.5 (c) 4/3 (d) 358 (e) -0.5
b
Which is the fourth biggest value? (a) 0.02 (b) -2 (c) -9 (d) 49 (e) 2/17 (f) -0.19
f
Which is the smallest value? (a) 234/19 (b) -19 (c) -0.9
b
What is the second biggest value in -5, 2/63, 1/4, -40, -1/5, 3, -17/6?
1/4
What is the fourth smallest value in -56, 3/7, 24, 1.7, 1, -5?
1
Which is the fourth biggest value? (a) -100335 (b) 2/33 (c) -3 (d) -2/15
a
Which is the fourth smallest value? (a) 74 (b) 4 (c) -73691/10 (d) 2
a
What is the second smallest value in 1, -2/19, -14902, 0.2, 2, -13?
-13
Which is the second biggest value? (a) -165910 (b) 3 (c) 5 (d) 23
c
What is the sixth biggest value in 1/8, -2/7, -0.4, -7, 146, 1.61?
-7
What is the third biggest value in -696, 5, 1/9, -4, 1/6074?
1/6074
What is the second smallest value in 1/9, -0.1, 5, -75, 3/8, -2/3505, 6?
-0.1
Which is the second smallest value? (a) -3/2 (b) -2/13 (c) 1 (d) 7/5 (e) 2/3 (f) -2/2815 (g) 0.08
b
What is the third smallest value in -3/4, 2, -5/3, 1/2, -2/ | {
"pile_set_name": "DM Mathematics"
} |
se
Is 31469 a composite number?
False
Is 251605 prime?
False
Is 9977 composite?
True
Is 8581 composite?
False
Is 3173 composite?
True
Is 9173 composite?
False
Is 14029 prime?
True
Is 5161129 composite?
False
Is 169615 prime?
False
Is 19121 composite?
False
Is 10259 a composite number?
False
Is 158299 prime?
False
Is 29833 a composite number?
False
Is 489781 prime?
False
Is 133483 prime?
False
Is 1921619 a composite number?
True
Is 77681 a composite number?
False
Is 3443 prime?
False
Is 17011 a composite number?
False
Is 286913 prime?
False
Is 6388189 a composite number?
False
Is 1155793 composite?
True
Is 8209 a prime number?
True
Is 4717 a composite number?
True
Is 72023 a prime number?
False
Is 8063 a composite number?
True
Is 808585 a prime number?
False
Is 29657 composite?
True
Is 110017 a composite number?
False
Is 10301 composite?
False
Is 602065 prime?
False
Is 75767 prime?
True
Is 39499 composite?
False
Is 6487 a prime number?
False
Is 5386 a prime number?
False
Is 2647 a composite number?
False
Is 304565 composite?
True
Is 4721 prime?
True
Is 385519 composite?
False
Is 907 composite?
False
Is 16319 prime?
True
Is 13463 composite?
False
Is 149 prime?
True
Is 5573813 a prime number?
False
Is 187 a composite number?
True
Is 377221 a prime number?
False
Is 4120457 prime?
False
Is 8663 composite?
False
Is 36139 composite?
True
Is 65677 composite?
False
Is 276559 prime?
False
Is 58147 composite?
False
Is 15595 composite?
True
Is 7311 a composite number?
True
Is 107119 a prime number?
True
Is 65239 a composite number?
False
Is 1639 a prime number?
False
Is 1819 a composite number?
True
Is 700907 composite?
False
Is 811011 a composite number?
True
Is 2435599 a composite number?
True
Is 376943 prime?
False
Is 10313 a prime number?
True
Is 126551 composite?
False
Is 71719 a composite number?
False
Is 1161727 prime?
False
Is 297487 composite?
False
Is 45751 composite?
False
Is 2153 a prime number?
True
Is 6163 a composite number?
False
Is 41539 a prime number?
True
Is 1649707 prime?
True
Is 604658 a composite number?
True
Is 2953 a prime number?
True
Is 167513 composite?
True
Is 7177 a prime number?
True
Is 82163 composite?
False
Is 10193 composite?
False
Is 95773 prime?
True
Is 37451 prime?
False
Is 12791 composite?
False
Is 83371 prime?
False
Is 14206 a prime number?
False
Is 64409 composite?
True
Is 100129 a composite number?
False
Is 2567 composite?
True
Is 1018805 prime?
False
Is 2378843 prime?
True
Is 11599 composite?
True
Is 24737 composite?
True
Is 103849 a composite number?
True
Is 1009 a composite number?
False
Is 52135 a prime number?
False
Is 3108981 composite?
True
Is 29779 composite?
True
Is 791 a composite number?
True
Is 678191 prime?
True
Is 204481 a prime number?
True
Is 193253 a composite number?
True
Is 684713 a composite number?
False
Is 11389 a prime number?
False
Is 472001 a prime number?
False
Is 22769 composite?
False
Is 15101 a composite number?
False
Is 4441 a composite number?
False
Is 8157 a composite number?
True
Is 247961 prime?
False
Is 4127 composite?
False
Is 495917 composite?
True
Is 473719 composite?
False
Is 456427 composite?
False
Is 46841 composite?
True
Is 140843 prime?
False
Is 17569 prime?
True
Is 231547 prime?
True
Is 34511 a composite number?
False
Is 1227473 a composite number?
True
Is 27731 a prime number?
False
Is 269499 a prime number?
False
Is 2957 prime?
True
Is 12001 a prime number?
False
Is 6347 composite?
True
Is 1583 a prime number?
True
Is 114259 prime?
True
Is 74491 a prime number?
False
Is 121763 composite?
False
Is 5917 a composite number?
True
Is 18461 prime?
True
Is 2054063 a composite number?
True
Is 2179 composite?
False
Is 247697 composite?
False
Is 934 composite?
True
Is 2767 prime?
True
Is 6982 a prime number?
False
Is 17461 prime?
False
Is 592923 a prime number?
False
Is 59693 a composite number?
False
Is 54251 a prime number?
True
Is 114547 a prime number?
True
Is 100141 composite?
True
Is 24241 composite?
True
Is 29383 composite?
False
Is 7151 composite?
False
Is 913139 a composite number?
False
Is 3831 prime?
False
Is 4241 prime?
True
Is 188629 prime?
False
Is 24729 a prime number?
False
Is 249089 a composite number?
False
Is 8803 a composite number?
False
Is 61001 a prime number?
True
Is 102965 composite?
True
Is 3019 a composite number?
False
Is 33119 composite?
False
Is 4267 composite?
True
Is 326317 prime?
False
Is 434491 a composite number?
True
Is 14029 a prime number?
True
Is 65986 prime?
False
Is 1597 prime?
True
Is 7039 composite?
False
Is 131 prime?
True
Is 289937 prime?
True
Is 102161 prime?
True
Is 796031 composite?
True
Is 1618879 prime?
False
Is 5219 composite?
True
Is 34421 composite?
False
Is 27359 composite?
True
Is 444729 a composite number?
True
Is 4743119 a prime number?
False
Is 1263539 prime?
True
Is 13147 prime?
True
Is 9041 a prime number?
True
Is 10081 composite?
True
Is 118129 composite?
True
Is 277297 a composite number?
False
Is 50033 prime?
True
Is 89363 a prime number?
True
Is 4083 a prime number?
False
Is 35879 prime?
True
Is 5953 a composite number?
False
Is 217387 a prime number?
True
Is 62417 a composite number?
False
Is 4837 prime?
False
Is 127529 a prime number?
True
Is 7321 a prime number?
True
Is 58657 a composite number?
False
Is 16409 prime?
False
Is 14491 a prime number?
False
Is 8057 prime?
False
Is 372209 a composite number?
True
Is 1115 composite?
True
Is 67063 prime?
False
Is 8923 composite?
False
Is 137633 prime?
True
Is 1059637 composite?
False
Is 52489 prime?
True
Is 484618 a prime number?
False
Is 537079 composite?
False
Is 4699 composite?
True
Is 499 a composite number?
False
Is 31039 a prime number?
True
Is 391283 composite?
False
Is 7613 prime?
False
Is 2134283 a composite number?
False
Is 617917 a composite number?
False
Is 89867 a prime number?
True
Is 1358737 a prime number?
False
Is 61511 prime?
True
Is 388459 composite?
False
Is 202357 prime?
True
Is 185053 a prime number?
False
Is 71731 composite?
True
Is 420731 prime?
True
Is 75011 prime?
True
Is 19259 prime?
True
Is 208489 a composite number?
False
Is 536521 composite?
True
Is 5854 prime?
False
Is 422014 a composite number?
True
Is 44231 prime?
False
Is 11441 a prime number?
False
Is 11665 composite?
True
Is 27719 a prime number?
False
Is 86027 a composite number?
False
Is 230509 composite?
True
Is 13 composite?
False
Is 6731 a composite number?
True
Is 1825963 composite?
False
Is 1305301 prime?
True
Is 147887 prime?
False
Is 317893 composite?
True
Is 39361 composite?
True
Is 9667 prime?
False
Is 303113 a composite number?
True
Is 13646 composite?
True
Is 113241 a composite number?
True
Is 84377 a prime number?
True
Is 107659 a prime number?
False
Is 1183467 a composite number?
True
Is 67339 a composite number?
False
Is 7103 prime?
True
Is 3037 a prime number?
True
Is 1004889 prime?
False
Is 16603 composite?
False
Is 85431 a prime number?
False
Is 33107 a composite number?
False
Is 91651 a prime number?
False
Is 8121 prime?
False
Is 1998157 composite?
True
Is 16143 a composite number?
True
Is 10405 a composite number?
True
Is 1244851 a composite number?
True
Is 66829 a composite number?
True
Is 95785 a composite number?
True
Is 31747 a prime number?
False
Is 2119 a prime number?
False
Is 1637 composite?
False
Is 37717 a composite number?
False
Is 1203731 a prime number?
True
Is 21079 a prime number?
False
Is 1047881 prime?
True
Is 69907 a composite number?
True
Is 94747 a prime number?
True
Is 3371947 composite?
False
Is 30421 a composite number?
True
Is 42151 a prime number?
False
Is 369539 composite?
False
Is 49451 a composite number?
False
Is 174355 a prime number?
False
Is 12841 a prime number?
True
Is 190507 a composite number?
False
Is 11719 a prime number?
True
Is 1511 prime?
True
Is 12898 prime?
False
Is 11099 a prime number?
False
Is 35303 a prime number?
False
Is 952481 composite?
False
Is 1393577 prime?
True
Is 142801 a composite number?
True
Is 327293 composite?
True
Is 824977 a composite number?
False
Is 408761 a prime number?
False
Is 13669 prime?
True
Is 1050127 a prime number?
False
Is 248939 prime?
False
Is 15493 composite?
False
Is 1385401 prime?
True
Is 12227 a prime number?
True
Is 3967 prime?
True
Is 91801 composite?
False
Is 1396658 a composi | {
"pile_set_name": "DM Mathematics"
} |
10
Evaluate ((-9)/(-15))/(576/1680).
7/4
What is the value of (-2)/((6/198)/(3/(-6)))?
33
Calculate (98/14)/21*-48.
-16
What is the value of ((-22)/(-99)*3)/(40/20)?
1/3
What is 308/(-77)*(-2)/(-4)?
-2
Calculate ((-3)/(-11)*297/(-54))/(3/18).
-9
Evaluate 1/12*6*(-7)/(-189)*6.
1/9
Evaluate (-2)/10*(-1345)/(-5111).
-1/19
Calculate ((-588)/245)/12*-80.
16
What is the value of (-2*2/4)/(10/(-70))?
7
What is (-2)/(-36)*12*-14*(-1)/(-2)?
-14/3
Evaluate (((-2)/(-2))/((-6)/78))/(-1).
13
What is (80/1600)/(-3*3/(-45))?
1/4
Calculate ((-2)/(-39))/(((-201)/(-1608))/((-3)/8)).
-2/13
(-10)/8*38896/(-2860)
17
What is (13/481)/(2/2)*(-6)/(-3)?
2/37
(4/((-12)/9))/(31/(-527)*323)
3/19
Calculate (-21)/6*40/(-14).
10
((-3)/18)/((1050/250)/(-21))
5/6
What is ((-4)/(-2))/((54/(-108))/((-27)/(-12)))?
-9
What is ((-1372)/(-11319))/(40/12)?
2/55
Evaluate ((-2336)/(-5840))/((-8)/5).
-1/4
(12/(-6))/4*(-8)/(-8)*-1
1/2
What is the value of 48/(-57)*19/114*6/(-8)?
2/19
Calculate ((-4)/(-2)*(-1)/5)/((-314)/(-3140)).
-4
What is (-1*5/(175/(-21)))/(30/100)?
2
(-5)/(-1050)*6*98/42
1/15
((-140)/1680)/((-30)/(-24))
-1/15
What is the value of (12/15)/((432/(-300))/((-16)/120))?
2/27
What is the value of (-7)/(42/(-4))*(-5)/(-10)*-45?
-15
What is the value of (-7)/7*3*(40/(-112))/5?
3/14
(90/10)/(((-30)/25)/(-2)*1)
15
Evaluate (6/(-4)*22/(-132)*8)/(-4).
-1/2
What is the value of ((-840)/672)/((-14)/4*(-9)/(-36))?
10/7
What is (10/6)/(50/(-90))?
-3
Calculate 14/(7/(-7*(-3)/6)).
7
Evaluate (-7*(-7)/140)/(17/(-68)).
-7/5
What is (-17*2/340)/((-3)/24*2)?
2/5
What is (10/8)/((-5330)/(-208))?
2/41
What is -255*(-7)/(-42)*(-20)/(-50)?
-17
What is ((-4)/18)/2*10624/1328?
-8/9
Evaluate (-16)/1*81/(-6)*85/(-2295).
-8
Evaluate 1/((-6)/(-21))*59/((-4956)/24).
-1
Evaluate -4*2*(2975/68)/(-35).
10
What is ((4*-18)/(-6))/(24/(-32))?
-16
What is 646/969*60/2?
20
(-3)/132*(-204)/(-51)
-1/11
Evaluate 243/648*(-16)/(-42).
1/7
What is (-10)/100*(-12320)/112?
11
What is the value of ((-14)/(-7))/(10*7/(-42)*2)?
-3/5
7*(-10)/(-4)*(-16)/200*5
-7
Calculate (60/(-10440))/(1/(-6)).
1/29
Calculate ((-10)/(-2))/(280/(-175))*2/(-10).
5/8
What is (-12)/(-40)*(-810)/(-1944)?
1/8
(-70)/28*(-1)/(-5)*2
-1
What is ((-4170)/9730)/(1*54/(-14))?
1/9
3/(-4)*(-32)/3*(-102)/11832
-2/29
What is the value of ((-10)/70)/(4*(-5)/(-70))?
-1/2
Calculate ((-1)/(-1))/((-165)/45).
-3/11
1*(-29)/(19778/(-44))
2/31
Calculate (336/8)/3*250/175.
20
Calculate ((-6)/15)/(1566/870).
-2/9
Calculate ((-18)/3)/2*(-16)/(-84).
-4/7
What is the value of ((-24)/14)/(2/3*324/(-1512))?
12
Evaluate 8/120*(-4)/(-4)*(-10)/(-4).
1/6
What is the value of (((-60)/100)/3)/(414/(-45))?
1/46
Evaluate (4*(-3)/(-8))/(14/(112/(-6))).
-2
240/3*-1*(-104)/(-260)
-32
What is the value of (2/3)/(4579/723)?
2/19
Calculate 6/(-2)*102/(-1326).
3/13
Calculate (-1)/(-2)*180/(-75)*10/8.
-3/2
Calculate ((70/735)/(20/15))/((-8)/(-700)).
25/4
((-15)/(-12))/(65/234)*25/(-30)
-15/4
Evaluate ((-9)/(-10))/3*((-1148)/(-189))/41.
2/45
Evaluate ((-819)/56)/39*5/(-15)*7.
7/8
Calculate 4/((-1080)/(-30))*108.
12
Calculate (2/20)/(12/900*-10).
-3/4
What is (4/36)/((-4)/12)*(-816)/(-68)?
-4
Evaluate ((-15)/24*392/(-140))/((-3)/(-3)).
7/4
(-5)/4*(-22)/715*6
3/13
Evaluate (-89)/((-1869)/28)*(-78)/(-4).
26
Calculate (-3)/2*(4/110)/((-4488)/(-1936)).
-2/85
Calculate ((6/(-144))/((-2)/20))/(15/9).
1/4
What is the value of ((56/49)/2)/(74/(-7))?
-2/37
Calculate (((-110)/(-6))/5)/(2*(-9)/54).
-11
(2/(-3))/((-4)/42)*(-932)/466
-14
Evaluate ((-2652)/273)/(96/(-168)).
17
Evaluate 1*(20/70)/(20/35).
1/2
Calculate (54/(-513)*-19)/(2/17).
17
Evaluate (-12)/2*2/((168/(-16))/(-21)).
-24
What is (6/24*4/1)/((-10)/90)?
-9
Evaluate (73/2117)/((9/3)/3).
1/29
What is 760/(-57)*(-129)/(-602)?
-20/7
((-14)/(-84)*9)/((-15)/5)
-1/2
What is ((-17)/(98345/(-52)))/(-7*12/(-210))?
2/89
What is (-43950)/(-879)*2/(-45)?
-20/9
Calculate -4*(-18)/(-16)*-2.
9
Evaluate (-1)/3*16*10/((-440)/99).
12
What is the value of 1/(-1)*(-9)/(-3)?
-3
(-1)/(24/(-84))*(1440/35)/9
16
1500/90*(-36)/(-10)*(-10)/20
-30
What is the value of 3*(56/(-756))/((-8)/(-60))?
-5/3
Calculate 1073/(-4292)*(-4)/7.
1/7
(-40)/(-56)*16/(-80)
-1/7
(2/2)/((-72)/(-240)*(-25)/(-90))
12
Evaluate (18/243)/((-12)/(-72)).
4/9
What is the value of (-378)/147*(-112)/48?
6
Calculate ((-1285)/514)/(1/2).
-5
((-1)/(-3))/(81/2916)
12
What is (-12)/1*1/27?
-4/9
Calculate 15/(-50)*(-44)/33.
2/5
What is the value of 10/(-20)*17/((-119)/196)?
14
What is the value of 7/(49/(-21))*(-8)/(-24)?
-1
Evaluate 76/(-741)*30/(-20).
2/13
What is 11/(-9*(-1)/(-9))?
-11
Calculate (26/20)/((-2)/5)*(-4)/1.
13
Calculate (-8)/42*(-75)/(-500)*(-5)/3.
1/21
What is 2450/6860*(-6)/5*(-4)/3?
4/7
What is ((-72)/(-15))/(192/(-1200))?
-30
Calculate (-4)/108*(-420)/(-350).
-2/45
Calculate ((-5)/(-2))/(-1)*42/(-15).
7
What is the value of ((-168)/(-224))/(6/(-16))?
-2
What is 16/1768*17*-13?
-2
What is the value of 16/(-56)*-1*(-49)/(-7)*2?
4
What is the value of 16/16*1*-9*-1*1?
9
(3078/(-399))/(15/14)*(-20)/(-8)
-18
What is the value of (2/(-3)*-1)/((-2)/30)?
-10
Evaluate (-74)/222*12/(-7).
4/7
What is the value of (129/301)/((-54)/(-28))?
2/9
Calculate (6/(-6)*0/(-1))/(50/10).
0
What is ((-1)/3)/(((-20)/3)/(220/(-88)))?
-1/8
((-6)/(-4))/(16/(-24)*(-63)/(-308))
-11
Calculate (3*8)/((6042/(-57))/53).
-12
What is (104/130)/((-4*2/4)/(-25))?
10
(((-72)/6)/24)/((-3)/48)
8
3*23/(-184)*(280/(-12))/(-5)
-7/4
What is 3/(-3)*7/3*(-234)/78?
7
What is the value of -25*(-5)/(-25)*(-2)/(2*-1)?
-5
What is (-4)/((-11)/((-231)/7)*2/(-2))?
12
(-20)/2*1/((520/(-20))/52)
20
(5/(-3))/(360/(-648))
3
What is 54/1944*(-8)/2*10?
-10/9
What is the value of (((-1008)/(-140))/((-6)/15))/1?
-18
What is 2380/(-357)*-2*3*(-6)/(-20)?
12
Calculate 10/((-259)/(-74)*4/7).
5
Calculate ((-2350)/(-1645))/(((-6)/63)/(2/(-3))).
10
Evaluate ((49/490)/((-21)/36))/(3/(-7)).
2/5
What is (-3)/27*6*((-192)/(-4))/4?
-8
Evaluate (-40)/8*((-26)/(-8))/13.
-5/4
Calculate (8/(-60))/(221/(-85)).
2/39
What is ((-57)/(-38))/((-9)/96*4)?
-4
18/(-10)*15/(2/((-22)/(-11)))
-27
1/(2/15*(-490)/(-28))
3/7
16485/23550*(-10)/(1*-1)
7
What is the value of (21/9)/(7/30)?
10
Evaluate (-3)/1*2*-1*77/66.
7
Evaluate (((-96)/(-6))/(-4))/(10*9/225).
-10
What is the value of (8/12)/(94/564)?
4
13/(-65)*(-6)/(-8)*240/270
-2/15
(-20)/(-160)*38*-4
-19
Evaluate 1*(12/30)/((-4)/5)*36.
-18
What is the value of 1/(4/(-4)*59/767)?
-13
What is the value of (((20/(-4))/5)/(-3))/(49/(-189))?
-9/7
What is (-11)/55*-5*(-1)/((-21)/(-9))?
-3/7
(-3)/((-52)/16*-6)
-2/13
Evaluate ((-6)/(4/(-6)*2))/((-24459)/(-32612)).
6
Calculate ((-3)/12)/((-6)/16)*(-762)/(-4572).
1/9
Calculate (-2)/4*17/(-51)*-2.
-1/3
(((-2)/4)/((-70)/168))/((-162)/180)
-4/3
Calculate (-22*(-3)/(-6))/(-3)*(-201)/67.
-11
(-12)/9*(-273)/(-182)
-2
(54/702)/(1/9)*4/18
2/13
What is (-17)/(-2431)*-11*1?
-1/13
-3*(-48)/16*60/585
12/13
((6/16)/3)/(13/(-1508)*-145)
1/10
Calculate 1/(((-6)/(-75))/(((-736)/(-20))/(-23))).
-20
What is the value of ((-1)/(-45))/(9/90)?
2/9
Calculate (((-25)/(-4))/((-1305)/(-1044)))/((-1)/7).
-35
What is the value of (-30)/3*1*10/20?
-5
4/(-26)*((-10)/(-4))/5*2
-2/13
What is (54/30)/(3*(-4)/(-40))?
6
What is the value of (-10)/12*2/((-1200)/135)?
3/16
What is the value of 2/(-14)*(-280)/(-80)*72/(-2)?
18
What is the value of 27/((-972)/744)*(-36)/(-24)?
-31
What is the value of (-4)/((-8)/2)*-11*1?
-11
Calculate 34/(-408)*1*9.
-3/4
What is (49/(-539))/(((-2)/1)/(6/3))?
1/11
Calculate ((3/15)/(76/(-2375)))/((-16)/(-64)).
-25
Calculate (-4)/(-5)*(-14445)/(-1284).
9
Evaluate (3/(-2)*(-5)/30)/(14/80).
10/7
Evaluate ((-662)/(-3972))/(((-2)/2)/(-78)).
13
Calculate 12/26*1365/1155.
6/11
What is the value of ((3*1/9)/((-546)/126))/(-1)?
1/13
What is the value of (-2*-4*(-4)/(-24))/(2520/(-2268))?
-6/5
Evaluate 648/27*((-138)/(-36))/23.
4
Evaluate (-18)/(486/(-1035))*3*(-3)/(-15).
23
Calculate 168/24*(-20)/10.
-14
Evaluate ((-2)/3)/(9/(-1404)*-13).
-8
Calculate ((42/(-7))/(-204))/(6*(-3)/(-36)).
1/17
What is the value of ((-6)/(-23))/((-58)/(-667))?
3
((-72)/108)/((-2)/(-9)*(-6)/(-4))
-2
((-8845)/1220)/(2*2/(-16))
29
What is the value of ((-64)/(-30))/(258/387*(-6)/(-10))?
16/3
What is 22/((-880)/10)*-4?
1
Evaluate -7*3*111/((-1332)/8).
14
What is the value of 1*(-1)/(-1)*1364/248?
11/2
What | {
"pile_set_name": "DM Mathematics"
} |
-2777, -1/7?
-1/7
What is the second biggest value in 0.06, -59, 26, -41, 4?
4
What is the third smallest value in 0, -4, 5, 9097, -0.13?
0
What is the third smallest value in 1/184, -4, -206, -2/13?
-2/13
Which is the sixth biggest value? (a) 1/4 (b) 2 (c) 0 (d) -0.67 (e) -2 (f) -2/7 (g) 25
d
What is the biggest value in 0.08, 26, -7, 11/312, -1/2, 5?
26
Which is the second biggest value? (a) -15.853 (b) -2.3 (c) 45
b
What is the seventh biggest value in -155, 3, -0.2, -4, -3, 31, -4/3?
-155
Which is the sixth biggest value? (a) -4 (b) 1.9 (c) 14.9 (d) -8/3 (e) -14 (f) -2/9 (g) -0.2
a
Which is the fourth biggest value? (a) -0.5 (b) -620/11 (c) 1/3 (d) -13/4
b
What is the second smallest value in 6/5, 7/12, 2, 1/5, 12/11, -1.3?
1/5
What is the second biggest value in 494, -468, -15?
-15
What is the third smallest value in -1/3, 20, 46, 1, -0.1, 0, -0.3?
-0.1
Which is the sixth smallest value? (a) 6 (b) -184 (c) 5.4 (d) -5 (e) -0.2 (f) -4 (g) 3/5
c
Which is the smallest value? (a) -0.075 (b) -6 (c) -450/613
b
What is the fifth biggest value in 52, 0.3, 0.05, 2, -881, -3, -0.2?
-0.2
What is the fourth biggest value in 2, -958082, -0.5, -1/5?
-958082
Which is the second biggest value? (a) -1 (b) -1573 (c) -31 (d) 26
a
Which is the biggest value? (a) 5 (b) -535 (c) 14942
c
Which is the second smallest value? (a) 0.1 (b) -393/2 (c) 54
a
What is the fifth smallest value in 2/3, 2, 3117, -1, -5, -4?
2
What is the smallest value in -744/487, 3, -6/7, 3/2?
-744/487
What is the second biggest value in -1/2, -11/379878, 5?
-11/379878
Which is the biggest value? (a) 0.3 (b) 0.09 (c) 0.12 (d) 3 (e) -3 (f) -1/3 (g) -4
d
What is the third smallest value in -8, -3/7, -52.01, 0.4?
-3/7
Which is the third smallest value? (a) 0.5 (b) 0.3 (c) -264 (d) 15.6 (e) 16 (f) -4
b
What is the second smallest value in -220, -94, 2/189?
-94
What is the fifth smallest value in -321, -0.3, 0.077, 3, -71?
3
What is the biggest value in -9, 39, 0.89, 0.2, 1/8, 5?
39
What is the second smallest value in -116, -4, 8, -634?
-116
What is the third smallest value in 11.05, -0.4, 0.05, -2/7, -0.8, -5?
-0.4
Which is the fourth smallest value? (a) 4 (b) 7/38 (c) 1/9 (d) 1088 (e) -1/5
a
What is the third biggest value in -2, 3, -1418847?
-1418847
Which is the smallest value? (a) -3 (b) -58 (c) 34 (d) 3 (e) 1/350
b
Which is the seventh biggest value? (a) 4 (b) -2 (c) -5 (d) 7/6 (e) 0.05 (f) 7 (g) -0.067
c
Which is the fifth smallest value? (a) 11 (b) -2/9 (c) 0.3 (d) 0 (e) 42 (f) -15 (g) 1
g
What is the third biggest value in 38/29, -1, -0.1, -11.65?
-1
What is the sixth biggest value in -2, 2, -217/6, 3/8, -3, -0.04, -0.3?
-3
What is the fourth smallest value in 5, 6/11, 0.08, -1/7, -117, -7?
0.08
What is the second smallest value in -1, 1.64, -76, -4, -2/13?
-4
What is the fifth smallest value in 30, 0.057, -15, 4, -3, -2, 1?
1
Which is the third biggest value? (a) -93/112 (b) -3 (c) -1 (d) -0.4 (e) 0.4 (f) -4
a
Which is the biggest value? (a) 2 (b) 8 (c) 8/5 (d) -4 (e) -0.01 (f) 15
f
Which is the third smallest value? (a) -4/3 (b) 3 (c) -130.9 (d) -0.08 (e) -0.1 (f) -3 (g) -17
f
Which is the smallest value? (a) 2/5 (b) -457 (c) 0.15 (d) 5 (e) 275
b
What is the second biggest value in 1, -3, -2, 14733, 1.5?
1.5
What is the fourth smallest value in -5, -4080, 54, -2/13?
54
What is the sixth smallest value in 5, -0.2, -1/3, 20, -1/15, -0.1, 55?
20
What is the biggest value in -10, 37, -2/53, -2/967, 0.4?
37
Which is the third biggest value? (a) -0.06 (b) -0.2 (c) 344/5 (d) -3 (e) 0.9
a
Which is the biggest value? (a) -1 (b) -24 (c) -0.01 (d) 1851
d
What is the second biggest value in -1/8, 2, -28, 5547?
2
What is the smallest value in 1, 121/2595, 3?
121/2595
Which is the third smallest value? (a) 1/6 (b) 1/4 (c) -58 (d) 5/13 (e) -1/4 (f) 964
a
What is the second biggest value in -89, 1/6, -279/2?
-89
Which is the second smallest value? (a) -2.87 (b) -1/2 (c) -3/7 (d) -41.74
a
What is the third biggest value in 51, 139, 0.014?
0.014
Which is the third biggest value? (a) -0.1 (b) -0.2 (c) 1.8 (d) -2/259 (e) 1/3 (f) -6/13
d
What is the fourth smallest value in 20, 0.4, 1.3, -15/2, -0.03, 0.18?
0.4
Which is the sixth biggest value? (a) 99/5 (b) 6/5 (c) -3/7 (d) -254 (e) -3/34 (f) 4/3
d
Which is the second smallest value? (a) 0.25 (b) -11 (c) 6 (d) 6/59 (e) -2/21
e
Which is the third biggest value? (a) 16/39 (b) -13 (c) -2/23 (d) -5
d
Which is the third smallest value? (a) 8906 (b) 6778 (c) 0.4
a
What is the fourth smallest value in -1455, -3, -2531, -0.5?
-0.5
Which is the third biggest value? (a) 0.1 (b) -0.07 (c) -1/3 (d) -2/13 (e) 855
b
Which is the biggest value? (a) 2/131 (b) 302 (c) -2/9 (d) -0.5 (e) 28
b
What is the third smallest value in -2/5, 133319, 2/451?
133319
Which is the fourth biggest value? (a) -2/17 (b) 22075 (c) 2/9 (d) 32
a
What is the third smallest value in 3, -0.1, 0.12, 247332?
3
What is the second smallest value in 32174, -5, -0.4, -4, 3, -3/10?
-4
What is the biggest value in -1/598, 16/7, -0.1, -1/4?
16/7
Which is the biggest value? (a) 4/3 (b) 4 (c) 3/11 (d) 4656 (e) 1
d
Which is the fourth smallest value? (a) -0.05 (b) -1/3 (c) -4 (d) -9027
a
What is the biggest value in 13373, -0.3, 44?
13373
What is the second smallest value in 105/86, 6/77, -0.14?
6/77
Which is the second smallest value? (a) 0.0911 (b) 5110 (c) -4
a
What is the third biggest value in 0.7, 88/3, -0.4, 6, 4?
4
What is the fourth smallest value in 28, -2/13, 33, 11.8, -5, 5, -3?
5
What is the sixth smallest value in -0.3, 11, -0.5, 52, 20/783, -0.4?
52
What is the third smallest value in 0.047, -0.5, 4, -2, -4/1239?
-4/1239
What is the third smallest value in -1/2619, 726, 1/8, 0.5, 0?
1/8
What is the second smallest value in -463422, -2/3, 23?
-2/3
Which is the second smallest value? (a) -1 (b) -0.5 (c) 1 (d) -23 (e) -77 (f) 37
d
What is the third biggest value in 2, -7, -3, 1.2, -179, 2/9, -26/9?
2/9
What is the second biggest value in -2/9, -305, -12/13, -42, 6?
-2/9
What is the smallest value in -0.01, -1/3, -2, 2/1167, 1/5?
-2
Which is the fifth biggest value? (a) 2/17 (b) 0.14 (c) 6 (d) 9/2 (e) -16 (f) 4 (g) 1
b
Which is the third biggest value? (a) -84 (b) 1 (c) -26/3141
a
Which is the third smallest value? (a) -4 (b) 209 (c) 0.4 (d) 62 (e) -4/41 (f) -1/3
e
Which is the sixth smallest value? (a) 2/131 (b) 42 (c) 3 (d) 0.2 (e) -2 (f) -1/5 (g) 6
g
What is the biggest value in 18, 5, 18038?
18038
What is the fifth smallest value in 2, -0.4, -3, -9, 1/6, 24?
2
Which is the third biggest value? (a) -5 (b) -0.9 (c) 194 (d) -4 (e) -54
d
What is the sixth biggest value in 0.4, 0, 5/4, 3/2, -2.495, 1, 0.5?
0
Which is the third biggest value? (a) -89 (b) 0.0609 (c) -5 (d) 0.3 (e) 9/43
b
What is the smallest value in 299, 28670, 3/5, -2/7?
-2/7
What is the third biggest value in -39/4, -0.1, 570?
-39/4
What is the sixth smallest value in -3/4, -0.05, -3, -5.8, 8, 83?
83
What is the second smallest value in -8.38, -82, -8/11?
-8.38
Which is the third biggest value? (a) 2/5 (b) -1/3 (c) 5/2 (d) 7 (e) -1 (f) 30144 (g) -0.06
c
Which is the third biggest value? (a) -19/6 (b) 0.6 (c) 4/5 (d) 0.4 (e) -2 (f) -13 (g) -1
d
Which is the third smallest value? (a) 2/5 (b) -0.9 (c) 1/4 (d) -2.982 (e) 5 (f) 2/35
f
What is the second biggest value in -479, -44, -9.5?
-44
Which is the biggest value? (a) -4/3 (b) 0.02 (c) 5 (d) -0.01 (e) -3 (f) 2196
f
What is the third biggest value in -1/6, 4, 0.5, -97/4, 103, -3/7, -3?
0.5
What is the smallest value in -85767, 5, -4/7?
-85767
Which is the third smallest value? (a) 0 (b) -36 (c) -2/695 (d) 0.1 (e) 1 (f) -0.4
c
What is the biggest value in 8239, -4, -1, -8/9?
8239
Which is the biggest value? (a) 4 (b) -5 (c) -3/16 (d) 0.2 (e) 28687
e
What is the third smallest value in -1/4, -1, -6, 2/7, -1/2, 0, 0.2?
-1/2
What is the fifth biggest value in -3/7, 1, 53, 2/5, 2, 118?
2/5
What is the sixth smallest value in 0.5, 0.071, -0.4, -0.1, -7, -1833?
0.5
Which is the third smallest value? (a) 594/5 (b) -0.4 (c) -0.4846
a
Whic | {
"pile_set_name": "DM Mathematics"
} |
a centimeter?
6
How many tonnes are there in 40499.85 milligrams?
0.00004049985
Convert 17581179.6 seconds to days.
203.485875
What is 0.9620709 litres in millilitres?
962.0709
Convert 7088.075 years to millennia.
7.088075
How many centuries are there in 9.150483 decades?
0.9150483
What is 5351.161 weeks in seconds?
3236382172.8
What is 8.29645mg in nanograms?
8296450
How many millilitres are there in fifteen quarters of a litre?
3750
What is 2355.119 millilitres in litres?
2.355119
How many millilitres are there in 31/2 of a litre?
15500
How many centimeters are there in 9/10 of a meter?
90
What is 87/5 of a milligram in micrograms?
17400
How many millilitres are there in 43/4 of a litre?
10750
Convert 0.5416319 nanograms to micrograms.
0.0005416319
What is twenty-one fifths of a meter in millimeters?
4200
How many milliseconds are there in 780.4499s?
780449.9
How many millilitres are there in one fifth of a litre?
200
What is 15/4 of a litre in millilitres?
3750
Convert 0.1394693 litres to millilitres.
139.4693
What is one quarter of a millimeter in micrometers?
250
How many nanometers are there in one tenth of a micrometer?
100
How many minutes are there in 0.6755681 days?
972.818064
Convert 8.741113 years to millennia.
0.008741113
How many micrograms are there in 63368.6 nanograms?
63.3686
Convert 121678.68 months to years.
10139.89
What is 44.88916ng in grams?
0.00000004488916
Convert 58.90166 litres to millilitres.
58901.66
How many millilitres are there in fifty-nine quarters of a litre?
14750
What is 1/10 of a microsecond in nanoseconds?
100
Convert 240765.1 micrograms to grams.
0.2407651
What is twenty-seven halves of a millimeter in micrometers?
13500
What is 7/8 of a tonne in kilograms?
875
How many months are there in twenty-one quarters of a decade?
630
What is 8/7 of a week in days?
8
How many centuries are there in 20475.306 months?
17.062755
How many nanograms are there in 25/4 of a microgram?
6250
What is twenty-five quarters of a hour in minutes?
375
Convert 93723.04 millennia to centuries.
937230.4
What is 472141.4 kilometers in micrometers?
472141400000000
Convert 0.483943um to millimeters.
0.000483943
What is eleven sevenths of a week in hours?
264
What is seven quarters of a year in months?
21
Convert 0.2533691ml to litres.
0.0002533691
How many micrometers are there in five quarters of a millimeter?
1250
How many millimeters are there in 5/8 of a meter?
625
What is 5/4 of a hour in seconds?
4500
How many minutes are there in 28/3 of a week?
94080
How many years are there in 17/2 of a millennium?
8500
How many centimeters are there in 11534.48 nanometers?
0.001153448
How many millilitres are there in 7/8 of a litre?
875
What is 0.0988343 litres in millilitres?
98.8343
How many millilitres are there in sixty-seven fifths of a litre?
13400
What is 6.66138 centimeters in kilometers?
0.0000666138
How many grams are there in nine tenths of a kilogram?
900
How many millennia are there in 2.041158 years?
0.002041158
What is two fifteenths of a decade in months?
16
How many nanoseconds are there in 975.4998 microseconds?
975499.8
How many micrograms are there in 98.74607kg?
98746070000
Convert 62490.78 decades to years.
624907.8
How many tonnes are there in 711.0621 grams?
0.0007110621
How many litres are there in 5.461427ml?
0.005461427
What is one quarter of a kilometer in meters?
250
How many seconds are there in 3/8 of a day?
32400
How many millimeters are there in 37/2 of a meter?
18500
What is 31/2 of a gram in milligrams?
15500
What is eleven tenths of a meter in millimeters?
1100
Convert 85.14647t to micrograms.
85146470000000
What is fifty-one fifths of a litre in millilitres?
10200
Convert 918.6322mm to kilometers.
0.0009186322
How many nanograms are there in seven halves of a microgram?
3500
How many kilograms are there in three fifths of a tonne?
600
How many millilitres are there in fourty-nine fifths of a litre?
9800
What is 9.716886 nanograms in milligrams?
0.000009716886
Convert 810.8858 millennia to years.
810885.8
What is 25/4 of a meter in millimeters?
6250
Convert 0.6289608 milliseconds to nanoseconds.
628960.8
Convert 4481.519 millilitres to litres.
4.481519
How many centimeters are there in 23332.91 kilometers?
2333291000
What is 21/4 of a microgram in nanograms?
5250
Convert 0.6665488l to millilitres.
666.5488
How many kilograms are there in 29/5 of a tonne?
5800
What is 65.62296m in micrometers?
65622960
Convert 440.9 millimeters to centimeters.
44.09
How many nanoseconds are there in three fifths of a microsecond?
600
How many minutes are there in 7/4 of a day?
2520
Convert 483.2533 centuries to months.
579903.96
What is 0.4602769l in millilitres?
460.2769
Convert 0.2912616 nanoseconds to milliseconds.
0.0000002912616
How many centimeters are there in 1/10 of a meter?
10
What is 3/32 of a kilogram in milligrams?
93750
What is eleven halves of a litre in millilitres?
5500
How many milligrams are there in 7/2 of a gram?
3500
How many milligrams are there in thirty-three fifths of a gram?
6600
What is 3/25 of a kilogram in grams?
120
How many nanoseconds are there in 42.92304 days?
3708550656000000
How many weeks are there in 99.095283 hours?
0.589852875
How many kilograms are there in 0.0620479t?
62.0479
How many seconds are there in 22300.91 hours?
80283276
What is twenty-nine sixths of a day in hours?
116
How many milligrams are there in 5.972044ug?
0.005972044
How many milligrams are there in 3/40 of a kilogram?
75000
How many months are there in 5/8 of a century?
750
Convert 4.056232 decades to months.
486.74784
Convert 354.3265 weeks to days.
2480.2855
What is twenty-five halves of a litre in millilitres?
12500
What is 4/3 of a century in months?
1600
What is nineteen quarters of a hour in minutes?
285
How many meters are there in 5/4 of a kilometer?
1250
How many millilitres are there in 29/5 of a litre?
5800
What is 31/6 of a hour in minutes?
310
What is 3/50 of a litre in millilitres?
60
What is 45/8 of a litre in millilitres?
5625
What is one fifth of a meter in millimeters?
200
Convert 4.376341 years to centuries.
0.04376341
How many months are there in three eighths of a century?
450
How many micrometers are there in 17/4 of a millimeter?
4250
What is 789.7074um in meters?
0.0007897074
How many millilitres are there in one quarter of a litre?
250
How many nanoseconds are there in 3/5 of a microsecond?
600
What is 17/7 of a week in days?
17
How many kilograms are there in 7/8 of a tonne?
875
What is 1/20 of a millimeter in nanometers?
50000
Convert 10.15962 days to seconds.
877791.168
What is 3777.3 centimeters in micrometers?
37773000
How many millilitres are there in 3/5 of a litre?
600
Convert 292.4874 millennia to years.
292487.4
How many millilitres are there in fifty-nine fifths of a litre?
11800
How many millilitres are there in 42/5 of a litre?
8400
Convert 3.529776ng to kilograms.
0.000000000003529776
How many micrograms are there in 6.046496g?
6046496
How many milliseconds are there in 3/25 of a minute?
7200
How many microseconds are there in 3/32 of a second?
93750
Convert 46.92296 decades to millennia.
0.4692296
How many grams are there in thirty-seven fifths of a kilogram?
7400
Convert 5789.57 hours to seconds.
20842452
How many millimeters are there in 19/4 of a meter?
4750
What is 0.5593333 decades in millennia?
0.005593333
How many minutes are there in twenty-five quarters of a week?
63000
What is fifty-five halves of a litre in millilitres?
27500
What is 27/5 of a meter in centimeters?
540
How many micrometers are there in 0.4359485 millimeters?
435.9485
What is 5528.996 milligrams in nanograms?
5528996000
What is 9.664971um in millimeters?
0.009664971
Convert 0.42528mg to nanograms.
425280
How many nanometers are there in 6/5 of a micrometer?
1200
How many kilometers are there in 7917.023m?
7.917023
What is 9016.339m in kilometers?
9.016339
What is thirteen fifths of a millennium in years?
2600
How many nanometers are there in 770765.3um?
770765300
How many years are there in 3/10 of a century?
30
What is 325152.2 millennia in years?
325152200
How many months are there in 3/16 of a century?
225
Convert 6462.69l to millilitres.
6462690
What is 10/7 of a week in minutes?
14400 | {
"pile_set_name": "DM Mathematics"
} |
3*t. Let y(m) be the second derivative of r(m). Determine y(3).
13
Let x(o) = 3*o. Let r(p) be the third derivative of p**5/30 + p**4/24 + p**3/6 + p**2. Let d be -3 - (-1 - (-2 + 3)). Let a be r(d). Give x(a).
6
Let d be (-9 + 0)*7/(-21). Let o(s) = s**3 - 5*s**2 + 3*s + 2. Calculate o(d).
-7
Let i(v) = 3*v**3 + 7*v**2 - 3*v + 1. Let r(h) = -7*h**3 - 15*h**2 + 7*h - 2. Let m(l) = 5*i(l) + 2*r(l). Let s = -16 + 11. Determine m(s).
6
Suppose 2*v = -0*v + 6. Let j(q) be the third derivative of 1/24*q**4 + 0 - 3*q**2 + 0*q - 1/2*q**3. Give j(v).
0
Let r(y) = y**2 + 5. Let o(c) = -c**2 - 3. Let k = -12 - -17. Let z(m) = k*r(m) + 8*o(m). Suppose 5*v + h + 8 + 0 = 0, 2*v - 4*h = 10. Determine z(v).
-2
Let u(q) be the first derivative of q**4/4 - q**2 + 3*q - 3. Let l be (-12)/(-8) - (-1)/2. Give u(l).
7
Suppose 0 = 2*b - 1 + 3. Suppose k - 5*w + 1 = 0, -67 = -7*k + 2*k + w. Let x be (-3)/(k/8 + b). Let d(t) = t**2 + 5*t - 3. What is d(x)?
-7
Let z be 2/(4/6) + -4. Let j = z - 4. Let d(o) = -o**2 - 5*o + 4. Determine d(j).
4
Let p(w) = -3*w**3 + 4*w**2 + 6*w**3 - 1 - 2*w**3 - 6*w. Let j(q) = q**3 + 7*q**2 + 6*q + 9. Let d be j(-6). Let a = d - 14. What is p(a)?
4
Let k(p) = -3*p - 33 + 31 + p. Calculate k(-3).
4
Let s(v) = v**2 - 2*v - 2. Let j be s(3). Let o be (-54)/6*j/3. Let i(p) = -6*p - 1. What is i(o)?
17
Let b(k) = -k**3 + 4*k**2 - 2*k + 1. Let v = -40 + 43. Give b(v).
4
Let h(r) = 4*r + 2. Suppose c = -4*f + 14, -4*c + 4 = f - 7. Suppose -3*o + c*k = 7, -2*k + 5 = -4*o - 5. Let w be o/3 + (-2 - -1). Calculate h(w).
-6
Let r(x) be the second derivative of -x**3/6 + 3*x**2/2 - 15*x. Give r(4).
-1
Let p = 11 - 10. Let g(w) = 0 - 5*w**2 + w**3 + p + 3*w**2 + 0*w**3. Determine g(2).
1
Let v = 3 - 3. Let x(s) be the third derivative of 1/24*s**4 + 5/6*s**3 + 1/120*s**6 + 0 + 0*s + 2*s**2 + 1/60*s**5. Calculate x(v).
5
Let n(z) be the first derivative of z + 2/3*z**3 - z**2 - 2. Let k be n(2). Let x(l) = -l - 1. Give x(k).
-6
Let t(y) = -21*y**3 - 2*y - 1. Suppose 0 = 3*l + 9, -3*p + 7*l - 11*l - 15 = 0. Give t(p).
22
Suppose -2*n + 5 + 5 = 0. Suppose -2*t + n*t = 0. Let h(a) = a**3 - a**2 + 4. Give h(t).
4
Let q(b) be the third derivative of -b**6/360 - b**4/4 + b**3/3 - 6*b**2. Let s(t) be the first derivative of q(t). Give s(0).
-6
Let o(b) = 1. Let g(m) = m**2 + 4*m - 11. Let n(t) = -g(t) - 4*o(t). Give n(-6).
-5
Let z(g) = -12*g - 1. Let m = -40 + 39. What is z(m)?
11
Let g(x) = -5*x**2 - 3*x + 6. Let w(d) be the third derivative of d**5/30 + d**4/24 - d**3/2 - 3*d**2. Let i(y) = 3*g(y) + 7*w(y). What is i(-2)?
-3
Suppose 1 + 1 = 2*v. Suppose 4*d + 5*n = 12, d - 3 = n + 3*n. Let p(y) = d*y**2 + y**2 + 4*y - 3*y. Give p(v).
5
Let s(z) be the third derivative of -z**6/120 + z**5/12 - z**4/6 - z**3/3 + 7*z**2. Determine s(4).
-2
Suppose 3*c = -0*c - 12. Let i(l) be the second derivative of -l**5/60 - l**4/8 + 5*l**3/6 - l**2 - l. Let p(x) be the first derivative of i(x). What is p(c)?
1
Let y(d) = -3*d + 3 + d**3 - 4 - 4*d**2 - 2*d - 1. Determine y(5).
-2
Let f be (-2)/4*(-11 - -1). Let o = 1 + 4. Let b(h) = -2*h**2 + h**2 + o*h + 2 + 2. What is b(f)?
4
Let l(w) = -w + 8. Let k be l(12). Let b(o) = 3*o - 2. What is b(k)?
-14
Let f = 31 - 28. Let p(i) = -i**3 + 4*i**2 - 4*i. What is p(f)?
-3
Let c be (-8)/(-3) + 2/6. Let x(s) = -2 + 4 - 3 - 2*s**2 + s + c. Calculate x(-2).
-8
Let k(y) = -4*y**3 + 7 + 2*y**3 + 2*y - 7*y**2 + 3*y**3 - 4*y. What is k(7)?
-7
Suppose -3*k + 24 = -5*u, 0 = 5*k + 5*u - 10*u - 30. Let x(z) = -z + 0*z + 6 - 2 + z**2. Determine x(k).
10
Let g(b) = 14*b**2 + 2*b - 29. Let m(s) = 5*s**2 + s - 10. Let v(j) = 6*g(j) - 17*m(j). Let r be 30/(-12)*(3 + -1). Let n = r - -1. Determine v(n).
0
Let p(y) = -6*y**3 - y**2 - 4*y + 3. Let q(l) = -5*l**3 - l**2 - 3*l + 3. Let a(u) = -4*p(u) + 5*q(u). Suppose -4*w + 7*w = 0. Calculate a(w).
3
Let u(p) = p + 11. Let k be u(-7). Let s(g) = k - 2*g + g + 0*g. Give s(3).
1
Suppose 0 = 3*h + 2*d + 4, 3*h - d = -2*h + 2. Let r(l) = -3 - 4 + 9 - l. Give r(h).
2
Let y(p) = 2*p + 2. Let q = 17 - 9. Suppose -5*o + 31 - 6 = 0. Suppose o*j + 7 = -q. What is y(j)?
-4
Let o(r) = -r**3 + 3*r**2 + 3*r - 4. Suppose 2*f = 1 + 5. Determine o(f).
5
Suppose -o + 2*d = 1, 2*o - d - d = 2. Let b(z) = 2 - 3*z - 2 - 1 - o. Determine b(-3).
5
Let h(l) be the third derivative of -l**5/60 + l**4/6 - l**3/3 + l**2. Suppose 0 = 5*g + 3*a - 8, -g - 2*g = -5*a - 32. Determine h(g).
-2
Let j(r) = -r**2 - r + 4. Let b be j(-3). Let q(p) = -3*p - 10 - 14 + 4 - 1. Let u(v) = v + 5. Let m(h) = 2*q(h) + 9*u(h). Calculate m(b).
-3
Let p = -27 + 29. Let b(g) = -g**2 - 1. Let n(x) = x**2 + 1. Let r(s) = 2*b(s) + 3*n(s). What is r(p)?
5
Let u(d) be the third derivative of 0 - 1/12*d**4 + 0*d - 1/3*d**3 + d**2. Give u(-6).
10
Let d = -11 - -16. Suppose -5*r + 3*z = d, 3*z - 17 = -2. Let t(p) = -p**r - p**2 - 3*p + 1 + 3*p**2 - 6. What is t(5)?
5
Let j(l) = -l + 1. Suppose -3*y - y = -36. Suppose -n = 2*a - y, 5*n = 2*a - 3*a. Let c = 2 - a. What is j(c)?
4
Let p(s) = -3*s + 21. Let y(q) = 1. Let x(t) = -t**2 - 3*t + 6. Let u be x(-6). Let m(l) = u*y(l) + p(l). Calculate m(6).
-9
Let s = -27 - -21. Let t(k) = -k**3 - 7*k**2 - 7*k - 1. Give t(s).
5
Let f(x) = 3*x**3 + x**2 + x - 11. Let l(s) = -4*s**3 + 12. Let k(a) = 5*f(a) + 4*l(a). What is k(6)?
-13
Let x(m) = m**2 - 3*m - 2. Let w = 1 + 1. Let u be x(w). Let g = u - -1. Let i(l) = l**2 + 2*l - 4. Calculate i(g).
-1
Let j be 24/(-7) - 36/(-84). Let k(t) = -t**3 - 4*t**2 - t - 4. Determine k(j).
-10
Let o(p) = 5*p**3 + 3*p**2 - 6. Let f(t) = 9*t**3 + 6*t**2 - t - 11. Let v(s) = 4*f(s) - 7*o(s). Suppose -2*h = -0 + 8. Give v(h).
-2
Suppose -2*n + 2 = -10. Let z = -1 + n. Let x(w) = -7*w**2 - z + w**2 + 6 - 2*w. Determine x(1).
-7
Let u(a) = -a**2 - 7*a - 5. Let x be u(-6). Suppose -3*t - x = -13. Let d(q) = -q**2 + 3 - q**3 - t + 3 + 3*q. Calculate d(-2).
0
Let h(s) = -s + 2. Suppose 0*o = 3*o + 45. Let p be ((-48)/(-30))/((-2)/o). Suppose 5*j = n - 18, -3*j = -2*j + 4*n + p. Determine h(j).
6
Let j(s) be the third derivative of -1/60*s**5 - 3*s**2 + 0 + 0*s - 1/3*s**3 + 1/4*s**4. Give j(5).
3
Let p(u) = -8*u + 4. Suppose -4*v + 0*v + 12 = 0. Calculate p(v).
-20
Let i(u) = -u + 1. Let g(y) = -13*y + 4. Let x(l) = -g(l) + 5*i(l). What is x(-1)?
-7
Let a(r) = 3*r + 6. Let p(b) be the first derivative of b**3/3 - 7*b**2/2 - 4*b - 3. Let t be p(7). Calculate a(t).
-6
Let j(z) = 3*z + 2. Let v = 8 - 11. Calculate j(v).
-7
Let q(p) = -3*p**3 - 2*p**2 + 2*p + 2. Let k(u) = u**2 - 5*u + 4. Let f be k(3). Calculate q(f).
14
Let j(g) = -98*g - 6 + 99*g - 3. Calculate j(10).
1
Suppose -q + 5*i - 2*i = 7, 0 = -4*i + 8. Let c be 1/(q - 15/(-12)). Let g(u) = c - 4 - u. Calculate g(-4).
4
Let i(l) = -l**2 - 3*l - 6. Let q = -11 - -1. Let y = 6 + q. Give i(y).
-10
Let p(a) = a**2 + 6*a - 5. Suppose -6*r - 5*s - 28 = -2*r, -5*r - 35 = 4*s. Calculate p(r).
2
Let d(g) = -18 + 32 - 3 + 3*g. What is d(-8)?
-13
Let v(s) be the first derivative of -s**4/4 - s**2/2 + 100. Let k = -4 + 2. Calculate v(k).
10
Suppose -2*g = -a + 3, -2*a + 7 = -2*g + 1. Suppose 0 = -a*c - 3*l - 3, 4*c = -l - 2*l - 3. Let n(j) = j**2 + j + 10. What is n(c)?
10
Let r be ((-4)/5)/((-3)/(-15)). Let t(f) be the first derivative of -6 + 5*f + 1/2*f**2. Calculate t(r).
1
Let s(v) = -v**2 - v - 5. Let n = -9 + 5. Let f = n - -4. Determine s(f).
-5
Suppose 0 = -3*v - 4*y, -2*v - 9 = -4*y + 11. Let o(z) = -z**3 - 5*z**2 - z + 1. Calculate o(v).
-11
Let d = 4 - -2. Let u(x) = -6 - 3 + 2 - 1 + x. Give u(d).
-2
Let f(o) = -2*o**2 + 1. Suppose 8 = s + 3. Let m be 9/(-4)*(s - 1). Let c = m - -10. What is f(c)?
-1
Let y(n) be the first derivative of 4*n**4 + n**3/3 - n + 64. Give y(-1).
-16
Let i(r) be the third derivative of -7*r**4/12 - 8*r**3/3 + 2*r**2. Let z(k) = 3*k + 3. Let b(y) = -2*i(y) - 11*z(y). Give b(1).
-6
Let f(l) = -5*l + 5. Let k(s) = -4*s + 4. Let r(a) = 5*f(a) - 6*k(a). Calculate r(-3).
4
Let t(w) be the second derivative of w**3/6 + 5*w**2/2 - 43*w. Determine t(-3).
2
Let m(n) = 4*n**2 - 2 - 3 + 4 - 4*n**3 - 2*n**2. Suppose -3*l = -8*l + 5. Let g be m(l). Let a(p) = -p**3 - 4*p**2 - 4*p + 1. Give a(g).
4
Let r(f) = -160*f + 76*f + 80*f - f**2 + 1. Calculate r(-3).
4
Let u(m) = 3507 + 9*m**2 - 3507 + 3*m**2. Suppose -3 | {
"pile_set_name": "DM Mathematics"
} |
2 + 0*a**2)*(-1 + 11*a + 1) + 18*a**3 + 3*a**3 - 2*a**3 to m*a**3 + o*a**2 + z + u*a and give m.
-3
Express (14*a + 13*a - 14*a)*(-5*a + 4*a + 3*a) + a**2 - a + a - 3*a + 0*a**2 + 2*a + a**2 - 3*a**2 + a**2 + a**2 in the form i + q*a + j*a**2 and give j.
27
Rearrange 70*f**2 + 22*f - 68*f + 17*f - 3 + 18*f + 12*f to the form q*f**2 + k + o*f and give k.
-3
Rearrange 16 + 829*c + 1949*c - 16 to the form b*c + g and give b.
2778
Rearrange 296*x + 28*x**2 - 2 - 2 - 301*x + 3 - 2*x**3 to the form q + p*x + r*x**3 + n*x**2 and give q.
-1
Rearrange 93*w**3 - 28*w**2 + 0*w - 94*w**3 - w - 6*w**2 + 10*w**2 to the form p*w**2 + b*w + c*w**3 + u and give p.
-24
Rearrange 5*y**2 + 35*y**3 - 2*y - 21*y**3 + 40*y**4 + 2 - 14*y**3 - 3*y**2 to the form x*y**3 + g*y + m*y**2 + h*y**4 + b and give h.
40
Express -h**2 + 5*h**2 - 6*h**2 - 13*h**3 - 1 - 11*h**3 in the form v*h**2 + z + t*h**3 + k*h and give t.
-24
Express 116*g - 13 + 28 - 4 - 11 in the form k*g + j and give k.
116
Rearrange -1 + 30*r**2 + 23*r**2 + 0 - 2*r**4 - 51*r**2 - 8*r to f + z*r**3 + c*r**4 + v*r + o*r**2 and give z.
0
Rearrange -29*t - 19*t + 22*t - 25*t to the form y*t + s and give y.
-51
Rearrange (5*j - j - j)*(0*j + 2*j + 0*j + (0 - 2*j + 0)*(-2 - 1 + 9) - 12*j - 13*j + 32*j) to the form h*j**2 + n + x*j and give x.
0
Express -183*w**2 - 192*w**2 + 3 + 379*w**2 as z*w**2 + f + k*w and give f.
3
Express 164*q - 253*q + 127*q - 484*q in the form m + w*q and give w.
-446
Express -7848 + 7848 + 10*i in the form z*i + m and give z.
10
Rearrange 52*v**2 - 4*v - 117*v**2 - 9*v**3 + 52*v**2 + v to l*v**2 + h + a*v**3 + q*v and give l.
-13
Express (y - 43*y**2 - 106*y**2 + 52*y**2)*(3*y + 2 - 2) in the form w*y + l + i*y**2 + q*y**3 and give i.
3
Rearrange -3*d - 15*d + 17*d - 38*d to the form y*d + i and give y.
-39
Express -9 + 38 + w + 16 in the form z + s*w and give s.
1
Rearrange (0*d - d + 0*d)*((d + d - d)*(0 + 5 - 3) + 10 + 8*d - 10 - 2*d + d + 0*d + (4 - 4 + d)*(2 - 6 + 2)) to o*d + u + w*d**2 and give w.
-7
Rearrange -153*l + 161*l - 3*l**2 - 2*l**2 to h*l + f + g*l**2 and give g.
-5
Express 56 - 105 + 49 - 60*r**2 as f + h*r**2 + q*r and give h.
-60
Rearrange 355*x**2 + 7*x**2 + 140*x**2 - 24*x**2 to s*x + i + u*x**2 and give u.
478
Express -k**2 + 4*k**2 - k**2 + k**2 - 3*k**2 + 0*k**2 + (3*k - k - 3*k)*(2 + 2*k - 2) + 66*k**2 - 8*k**2 + 5*k**2 in the form y*k + z*k**2 + i and give z.
61
Express (-3*y + 2*y + 5*y)*(-2*y + 213*y + 356*y) as w*y**2 + q + d*y and give d.
0
Rearrange -204 + 204 + 142*i + (-4*i - 2*i + 0*i)*(0 + 1 + 1) to j*i + p and give j.
130
Rearrange -271*v - 7 - 202*v - 13*v + 6 to the form z*v + n and give z.
-486
Express 17*g**2 - g - 44*g**2 - 11 + 11*g**2 + g**4 + 13*g**2 - 5 as j*g**3 + p + z*g**4 + f*g + n*g**2 and give n.
-3
Express (-2*o - 6623*o**2 + 6627*o**2 - 2 + 1)*(4*o**2 - 2*o**2 + o**2) as h*o + l + j*o**2 + n*o**3 + x*o**4 and give x.
12
Rearrange 3*o - 18*o + 2*o**2 - 160 + 170 to the form f + w*o + s*o**2 and give f.
10
Rearrange -10*y + 5 + 155*y - 21*y + (-3 + y + 3)*(-4 + 4 + 1) + 5*y + 0*y - 3*y to the form v + d*y and give d.
127
Express -8*o - 17*o**4 - 5 + 7 - 5*o**2 - o**2 + 4*o**2 in the form w*o**3 + j*o**2 + l*o + h*o**4 + v and give v.
2
Rearrange 324*g - 324*g - 17*g**4 + (-54 + 54 + 2*g**4)*(2 + 0 - 4) to the form t + h*g + b*g**4 + o*g**3 + i*g**2 and give b.
-21
Rearrange 578*r - 38826 + 38826 to the form u + t*r and give t.
578
Express -22*r**2 - 30*r - 39*r + 102*r**2 - 40*r + 105*r in the form y*r**2 + u*r + d and give u.
-4
Rearrange 3*r + r**4 - 30*r**3 + 30*r**3 - 2*r**2 to y*r**4 + d*r**3 + o*r + g + s*r**2 and give y.
1
Rearrange (189 - 118 - 108)*(6*n + 0*n - 2*n) to d*n + o and give d.
-148
Rearrange 4*y - 9*y + 8*y + 33*y**3 to o*y**2 + h + k*y**3 + x*y and give k.
33
Rearrange -2*a**3 + a**3 - 8*a**4 + 0*a**4 - 121*a**2 - 3 + 120*a**2 to u*a**2 + g + b*a**3 + j*a + x*a**4 and give g.
-3
Rearrange (4*z - 5*z + 3*z)*(-z + 0*z + 0*z) + 3*z**2 + 2*z**2 - 4*z**2 - 3*z + 3*z + 12*z**2 to the form r + g*z + a*z**2 and give a.
11
Express -34*u**4 - 10*u**4 + 0*u + 7 - u - 5 in the form q*u**2 + m*u + v + p*u**4 + j*u**3 and give p.
-44
Express (683 + 919 - 312)*(-k + 3*k - k) in the form q + s*k and give s.
1290
Rearrange -10*p + 5 + 6*p + 3 - 26*p - 5 to l*p + x and give x.
3
Rearrange 172*g - 119 - 86 + 196 + (1 - 4 + 2)*(-2*g + 0*g + g) to m + b*g and give m.
-9
Express 18*t**3 - 2*t - 218*t**2 + 218*t**2 + 36*t**3 in the form h*t**2 + c*t + l*t**3 + s and give c.
-2
Rearrange (4 + 2*l - 4)*(8 + 29 - 16)*(514*l - 514*l + 2*l**2 - 69) - 3*l**3 + 4*l**3 - 2*l**3 to x*l**2 + v + u*l**3 + s*l and give s.
-2898
Express p**2 - 4*p**2 + p**2 - 52*p**2 - 53*p**2 + 37*p**2 + (-2 + 4 + 1)*(0*p**2 + 2*p**2 + p**2) as h*p**2 + g*p + r and give h.
-61
Rearrange 3 - 69 - 5*n + 8 + 54 to the form s + f*n and give f.
-5
Express -525*c**2 - 1 + 5*c**3 - 1 + 523*c**2 + 2*c**4 as v*c**3 + i*c**2 + q + k*c + y*c**4 and give i.
-2
Rearrange ((3 - 2 + 1)*(2*j - 3*j + 0*j) + (19 + 11 - 5)*(3*j - j + 3*j))*(1 - 1 - j**2) to i + v*j**2 + u*j + w*j**3 and give w.
-123
Express -918 + 24*w**3 + 917 - w - 45*w**3 - 27*w**3 - 11*w**3 as j*w + z*w**2 + i*w**3 + x and give i.
-59
Rearrange 22*x + 112*x + 67*x + 10*x to j*x + a and give j.
211
Express 80 + 41*w + 654*w + 1242*w + 90 - 171 in the form r + c*w and give c.
1937
Rearrange (j - 2 + 2)*(3*j - 4*j + 4*j + (-3*j + 8*j - 3*j)*(-4 - 1 + 3) + 444 - 444 - j) to s*j**2 + f + g*j and give s.
-2
Rearrange (s - 2 + 2)*(-46*s - 24*s - 118*s)*(-2*s + s + 0*s) to the form y + r*s**2 + b*s + q*s**3 and give q.
188
Express -5577*s + 11529*s - 5732*s as g + p*s and give p.
220
Express -1 - 1 + 1 - 4*l**2 + 0*l**2 + 11*l**2 + 18*l in the form m + d*l**2 + o*l and give d.
7
Express -444*f - 250*f + 20*f as a*f + q and give a.
-674
Express 86 - 86 - 95*u**3 + (-2*u**2 + u**2 + 3*u**2)*(-u - 4 + 4) as v + c*u**3 + s*u + d*u**2 and give c.
-97
Rearrange (0 + 1 + 0)*(10*i - 18 + 18) + 12 - 40*i - 10 - 3*i to the form n*i + l and give n.
-33
Rearrange (3 - 2 + 1)*(b - b + b) - b + 3*b + 0*b - b - 3*b + 5*b + (0 + 0 - 2)*(-3*b + 2*b + 2*b) - 571 + 571 + 34*b to d + t*b and give t.
37
Rearrange 80 + 3*i**4 - 959*i**3 + 959*i**3 + (-2*i - 2 + 2)*(-2*i**3 - 2*i + 2*i) to k + c*i**2 + q*i**4 + v*i**3 + o*i and give k.
80
Rearrange -5*f - f + 2*f + 75*f**2 - 76*f**2 - 7 to the form q*f**2 + b + y*f and give b.
-7
Express (-2 + 2 - q)*(-1363*q**3 + 2709*q**3 - 1314*q**3 + 7*q**2) as b*q + m*q**2 + w + f*q**4 + i*q**3 and give i.
-7
Rearrange -4*s + 3*s - 7*s + (-5*s + 3*s + s)*(1 + 1 - 1) - 21762 - 167*s + 21762 to d*s + z and give d.
-176
Rearrange p + p**3 - 4*p**3 - 117 + 4*p**3 - 5*p**4 + 115 to w*p**4 + o*p**2 + s*p + b*p**3 + v and give w.
-5
Express 16*i**3 + 2*i**2 + 2 + 11 + i**3 - 13 as s*i**2 + g*i + w*i**3 + r and give s.
2
Express 1039*y + 82*y - 1 + 1138*y + 1 as w*y + z and give w.
2259
Express (6 + 3 - 1)*(t**4 + 2*t**4 - t**4) + t**4 + 2*t**4 - 4*t**4 - 12*t**2 + 12*t**2 + 4*t**4 in the form f*t**4 + i*t**2 + x*t**3 + v + z*t and give f.
19
Rearrange 11 + 32 - f + 2*f**2 + 0*f**2 to a + m*f + v*f**2 and give a.
43
Rearrange 162*g**2 + 6 - 13 + 498*g**2 + 7 to the form a*g + l + r*g**2 and give r.
660
Express -55 + 2827*w**2 - 4*w**3 - 1412*w**2 - 1417*w**2 in the form h*w + b*w**3 + i + d*w**2 and give b.
-4
Express 12*j**4 - 11*j**4 + j**3 + 38*j - 19 - 41*j as r*j**4 + x*j**3 + m*j + i*j**2 + l and give r.
1
Express (-5*o**4 + 3*o**4 + o**4)*(326 + 502 - 174) - o**4 + o**4 - 2*o**4 + (-4 + 2*o**3 + 4)*(-o - 2*o + o) as g + t*o + s*o**2 + h*o**4 + n*o**3 and give h.
-660
Rearrange 115 - 116 + 0*u - 19*u**2 + 6*u to n*u + b + r*u**2 and give n.
6
Rearrange 0*o**2 + 4*o**2 - 2*o**2 + (o + 1 - 1)*(-5*o + 3*o + 0*o) - 160*o**2 + 146*o**2 + 100*o**2 to the form p*o**2 + n*o + g and give p.
86
Express 3*y**2 - 17*y - 25*y**2 + 17*y**2 in the form i*y**2 + m + z*y and give i.
-5
Rearrange (v - 2*v + 0*v)*(3 - 6 - 6) + (0 - 2 + 0)*(14 + 12*v - 10*v - 4*v) to c + m*v and give m.
13
Express -g**2 - 5*g**4 + 9*g**4 - 2*g - 5*g**4 + 2*g**2 - 65 as c*g + b + h*g**4 + u*g**3 + k*g**2 and give h.
-1
Rearrange -4*n**2 - 11*n**2 - 41*n**2 + 2 to the form i*n**2 + w*n + s and give i.
-56
Rearrange 122*z + z**2 - 133*z | {
"pile_set_name": "DM Mathematics"
} |
ps.
0.0017802
Round -1915807850 to the nearest 100000.
-1915800000
What is -0.121986323 rounded to four decimal places?
-0.122
What is -135406.037 rounded to the nearest 10000?
-140000
Round 1199302343 to the nearest 100000.
1199300000
What is -106962921.1 rounded to the nearest ten thousand?
-106960000
What is -25545158 rounded to the nearest ten thousand?
-25550000
Round 0.0000063580346 to six dps.
0.000006
Round -1.132865411 to 3 decimal places.
-1.133
What is 12575.55758 rounded to zero dps?
12576
What is 0.080570746 rounded to four decimal places?
0.0806
Round 0.0000059678677 to seven dps.
0.000006
What is -92032.5913 rounded to the nearest 100000?
-100000
Round -287069.5862 to the nearest one hundred.
-287100
What is -574.91767 rounded to one dp?
-574.9
Round -3.914141503 to 1 dp.
-3.9
Round 0.168564131 to five decimal places.
0.16856
What is -8325488.79 rounded to the nearest 1000?
-8325000
Round -825153395 to the nearest 1000000.
-825000000
What is -9616.3643 rounded to zero decimal places?
-9616
Round 735.36592 to 1 dp.
735.4
What is -51079476620 rounded to the nearest 1000000?
-51079000000
What is -657837.507 rounded to the nearest 1000?
-658000
What is -0.022782338 rounded to five dps?
-0.02278
Round 0.000022498416 to 6 decimal places.
0.000022
Round 15707204.6 to the nearest 1000.
15707000
What is -0.09223371661 rounded to four dps?
-0.0922
What is 45706011.6 rounded to the nearest one million?
46000000
What is -17931.82652 rounded to the nearest 1000?
-18000
What is -0.00249392978 rounded to six dps?
-0.002494
Round -0.0011163414 to 4 dps.
-0.0011
Round 0.89153579 to four decimal places.
0.8915
What is -3874.71294 rounded to the nearest 10?
-3870
What is -35.9311001 rounded to 2 dps?
-35.93
What is -0.0796729641 rounded to 2 decimal places?
-0.08
What is 0.3206693919 rounded to three decimal places?
0.321
Round 33910.876 to the nearest 1000.
34000
What is -95659213.91 rounded to the nearest 10000?
-95660000
What is 569.28847 rounded to the nearest integer?
569
Round -0.0000032381331 to six dps.
-0.000003
What is -0.0025986401 rounded to 3 decimal places?
-0.003
What is -340240 rounded to the nearest 100000?
-300000
What is -183826.7152 rounded to the nearest ten thousand?
-180000
What is 0.000171425072 rounded to 5 dps?
0.00017
Round 0.09770489019 to 3 decimal places.
0.098
Round 0.00000370099104 to seven decimal places.
0.0000037
What is 1234.180214 rounded to the nearest 10?
1230
What is 536432.224 rounded to the nearest 1000?
536000
What is -0.02597772516 rounded to 5 dps?
-0.02598
Round 752.199005 to the nearest integer.
752
What is 284.8952028 rounded to one decimal place?
284.9
What is 13275006841 rounded to the nearest 100000?
13275000000
What is 149.53425 rounded to the nearest ten?
150
Round -1280188005 to the nearest 100000.
-1280200000
What is -2277010590 rounded to the nearest 100000?
-2277000000
Round -28175886910 to the nearest one million.
-28176000000
What is 190.56024 rounded to the nearest one hundred?
200
Round 0.0047705035 to 5 decimal places.
0.00477
What is 27781666.4 rounded to the nearest 1000000?
28000000
Round 472264.631 to the nearest 100000.
500000
Round 284723.92 to the nearest 10.
284720
What is -18282.486 rounded to the nearest one hundred?
-18300
What is -24684.48467 rounded to the nearest 10000?
-20000
Round 230.4033804 to one dp.
230.4
Round 0.182029963 to two decimal places.
0.18
Round 1902643.1893 to the nearest 1000.
1903000
Round -0.745118488 to 1 decimal place.
-0.7
What is -700673.05 rounded to the nearest 1000?
-701000
Round -496.99037 to the nearest integer.
-497
What is 3610183.791 rounded to the nearest ten thousand?
3610000
Round -62978.42267 to the nearest 10.
-62980
What is 0.063970356 rounded to 3 dps?
0.064
What is 0.000291905151 rounded to 7 decimal places?
0.0002919
What is 194314194.5 rounded to the nearest 10000?
194310000
Round -369690.175 to the nearest one hundred.
-369700
Round -816.342673 to the nearest 10.
-820
Round -0.073995706 to 2 decimal places.
-0.07
What is 10522.3404 rounded to 0 decimal places?
10522
Round -0.003665967204 to 3 dps.
-0.004
Round 175181.3192 to the nearest 10.
175180
Round -115865.9267 to the nearest 10000.
-120000
What is -0.681067542 rounded to one dp?
-0.7
Round 0.329449983 to 2 dps.
0.33
Round 0.0000073752616 to seven decimal places.
0.0000074
What is -0.0002125208558 rounded to 4 dps?
-0.0002
What is -1974526084 rounded to the nearest 1000000?
-1975000000
What is 2604650.634 rounded to the nearest one million?
3000000
What is 53392550 rounded to the nearest one hundred thousand?
53400000
What is 0.00000009060824 rounded to seven dps?
0.0000001
Round 32330410.7 to the nearest 10000.
32330000
What is -501.7383457 rounded to 1 decimal place?
-501.7
Round -116.3525805 to 2 decimal places.
-116.35
Round 0.00000553606198 to seven dps.
0.0000055
Round 6.20773543 to two dps.
6.21
What is -3392831.77 rounded to the nearest ten thousand?
-3390000
What is -0.0000231380974 rounded to five decimal places?
-0.00002
Round -368366.781 to the nearest one thousand.
-368000
Round -55226.809 to the nearest ten.
-55230
Round -5426119.374 to the nearest one thousand.
-5426000
What is -0.0650048096 rounded to 5 dps?
-0.065
Round -0.011543188543 to five decimal places.
-0.01154
What is 2.39360375 rounded to 4 decimal places?
2.3936
Round -0.255132145 to 3 dps.
-0.255
Round 0.000000029851268 to seven dps.
0
What is 1296.5721087 rounded to the nearest ten?
1300
What is 2.46555702 rounded to 2 decimal places?
2.47
What is 0.011704853449 rounded to 6 decimal places?
0.011705
What is 482783111.6 rounded to the nearest 1000000?
483000000
Round -24.4162099 to the nearest 10.
-20
Round -11.6629255 to the nearest integer.
-12
What is -1.33961534 rounded to two decimal places?
-1.34
Round 0.0000314261346 to 7 dps.
0.0000314
Round 6730.20124 to the nearest one thousand.
7000
Round -0.001064822741 to seven dps.
-0.0010648
What is 10077.06282 rounded to the nearest one thousand?
10000
Round -2.748348326 to 3 decimal places.
-2.748
Round -276465.8889 to the nearest 1000.
-276000
What is 49753.81824 rounded to the nearest ten?
49750
What is 0.00252645456 rounded to four decimal places?
0.0025
What is 16216224 rounded to the nearest 1000000?
16000000
What is -6746.94224 rounded to one decimal place?
-6746.9
Round -4.22705296 to 2 dps.
-4.23
What is 107663.169 rounded to the nearest 10?
107660
Round -721.3894768 to 2 dps.
-721.39
What is 0.0022097021 rounded to 5 decimal places?
0.00221
What is -20255.8705 rounded to the nearest 100?
-20300
What is -2042.06847 rounded to the nearest one hundred?
-2000
Round 342141.8118 to the nearest 100.
342100
Round 21.0262869 to 2 dps.
21.03
Round 0.00259592174 to 7 decimal places.
0.0025959
What is 972943.32 rounded to the nearest 1000?
973000
What is 0.0492887619 rounded to six dps?
0.049289
What is 667.055226 rounded to the nearest ten?
670
What is 0.000203588572 rounded to 5 decimal places?
0.0002
What is -0.00267735236 rounded to 3 decimal places?
-0.003
Round 0.523481911 to one decimal place.
0.5
What is -23.0916669 rounded to three decimal places?
-23.092
What is -36691.747 rounded to the nearest one hundred?
-36700
Round -0.00336260143 to 3 dps.
-0.003
What is -6318005411 rounded to the nearest 1000000?
-6318000000
Round 10.6459187 to three decimal places.
10.646
What is 0.00137966831 rounded to seven dps?
0.0013797
Round -569.562107 to two decimal places.
-569.56
What is 0.0000188226147 rounded to six dps?
0.000019
Round -98.3657794 to 2 dps.
-98.37
Round -0.162943132 to three decimal places.
-0.163
What is 0.075485904 rounded to 5 dps?
0.07549
Round 6941311.45 to the nearest one thousand.
6941000
Round 0.00031019663813 to seven dps.
0.0003102
What is 0.015492510654 rounded to four decimal places?
0.0155
What is -192.5003461 rounded to the nearest integer?
-193
Round -6212.941903 to zero dps.
-6213
What is 43.77682981 rounded to one decimal place?
43.8
What is 8.8512684 rounded to 1 dp?
8.9
What is 9527060.3 rounded to the nearest one thousand?
9527000
Round 0.00000475079597 to seven decimal places.
0.0000048
Round 0.0001392435346 to 5 dps.
0.00014
What is 2.2016857028 rounded to 3 decimal places?
2.202
What is -16511145 rounded to th | {
"pile_set_name": "DM Mathematics"
} |
+ 8 - 676 = -3*j, 5*j - 670 = -5*i. Let v be (-4)/(-6)*(-3)/(-1). Suppose v*p - 153 = -2*h + 3*p, -3*p + i = 2*h. Is h prime?
False
Let s(l) be the second derivative of -3/2*l**2 + 0 - 10/3*l**3 + l. Is s(-9) composite?
True
Suppose 1641 = 3*h - 642. Is h a composite number?
False
Let r = -23 + 60. Is r a composite number?
False
Suppose -c + 2*c - 483 = -2*k, -952 = -2*c + 3*k. Is c a prime number?
True
Suppose -h + 181 = -5*m, 0*h - 392 = -2*h - 5*m. Is h composite?
False
Let i(z) = -z + 11. Let f be i(8). Suppose 22 = c + f*x, 5*c + 4*x - 158 = x. Is c composite?
True
Let h(a) = 13*a**2 - 24*a - 10. Is h(-9) prime?
True
Let j(r) = -29*r + 17. Is j(-6) prime?
True
Let z be 2 - (-1 + 3 + -2). Suppose z*i = -i + 6. Suppose i*y - 45 = y - 5*k, -3*y = k - 79. Is y a prime number?
False
Let t = -606 - -865. Is t a prime number?
False
Let q(v) = 67*v - 9. Suppose 0 = 2*u + 3*d - 13 + 2, -2*u - d + 9 = 0. Is q(u) prime?
False
Suppose 4*g = 33 + 3. Is g a composite number?
True
Suppose -6051 = 3*b - 6*b. Is b a prime number?
True
Let m be -8*2/(-4) - -1. Suppose -2*f - 26 = 3*x - 586, m*x - 1124 = -4*f. Suppose -4*z = -f + 102. Is z a prime number?
False
Suppose 57371 + 4393 = 12*a. Is a a prime number?
True
Let v = -827 - -1608. Is v prime?
False
Is (-953)/(-5) + 22/55 a prime number?
True
Let w = -37 + 43. Is w prime?
False
Let w(i) be the second derivative of 1/6*i**3 - i + 0 - 5/2*i**2 - 1/20*i**5 + 1/2*i**4. Is w(4) a composite number?
False
Suppose -j = -3*d + 6*d - 16303, -j = -d + 5437. Is d prime?
False
Let o(q) = -q - 5. Let z be o(-5). Suppose -p + 4*j + 13 = -2*p, 0 = -4*p + j + 16. Suppose 0 = y - p*x + 8*x - 28, z = -4*x - 4. Is y composite?
True
Suppose 3*n - 71 = 2*n. Is n prime?
True
Suppose 0*q + 3*q - 2493 = 0. Is q prime?
False
Suppose -2*v + 4*d = d - 4, -v + 4*d = -2. Let c(m) = -m + 4. Let a be c(v). Suppose -2*n + 5*l = -5 - 102, -97 = -a*n - 5*l. Is n composite?
True
Suppose 5*r - 9 = -3*f + 6, 0 = -f. Suppose -v = 2*v. Suppose 5*u - r*s - 163 = v, -u - s + 47 = 8. Is u prime?
False
Suppose -4*f = -0*x - 3*x - 1166, 6 = 3*x. Is f prime?
True
Let m(p) = -40*p + 15. Is m(-17) prime?
False
Let m(h) = h**3 + h**2 + h + 2. Let x be m(-2). Let s = 11 + -81. Is (s/4)/(2/x) a prime number?
False
Suppose 3*u + 4*i - 805 = 0, 2*i + 518 = 2*u - 0*i. Is u a composite number?
False
Suppose 3*a + 39 - 117 = 0. Let k be 3/6 + (-73)/(-2). Let t = k - a. Is t a composite number?
False
Suppose -4*h - 70 = 5*n, -11 + 1 = 5*n. Suppose 0 = -0*w - 3*w - 4110. Is w/h - (-2)/(-6) composite?
True
Let k = 10 + -7. Suppose -7 = -n - 4*z + 5, 2 = k*n - 5*z. Suppose -5*q + 70 = -n*a, q - 5*a - 19 = -5. Is q prime?
False
Suppose 0 = n + 80 - 283. Is n a composite number?
True
Let c(r) = -r**2 - 9*r - 14. Let k be c(-6). Suppose k*h = 296 + 228. Is h prime?
True
Let v(o) = 21*o. Let x = 7 - 6. Is v(x) prime?
False
Let y(l) = -l - 7. Let x be y(-7). Is (-1 + x)*(-2 + -21) a composite number?
False
Let q = 3 + -2. Let i(w) = 77*w. Is i(q) a prime number?
False
Let q(g) be the first derivative of 17*g**2/2 - 3*g - 3. Is q(2) composite?
False
Let f = 1426 + -347. Is f prime?
False
Let b(o) be the first derivative of -o**5/20 - o**4/2 - o**3/2 + o**2/2 + 2*o + 3. Let m(u) be the first derivative of b(u). Is m(-6) composite?
False
Suppose 4*b + q + 2*q - 175 = 0, 2*q + 70 = 2*b. Suppose 0 = -w, 4*w = -r - 4*r + b. Suppose d = -t + 33, -r*d - 78 = -2*t - 4*d. Is t composite?
True
Let v = 0 + 3. Suppose 0 = -v*g - 0*q + 5*q + 101, 0 = 2*q + 8. Suppose g = h - 50. Is h prime?
False
Let k(f) = -799*f - 1. Is k(-2) a prime number?
True
Let f(z) = 2*z**2 - 8*z - 2. Let n be 1/(-2) - 14/(-4). Let u = n - -3. Is f(u) a prime number?
False
Let h = -557 - -784. Let p = 348 + 42. Let g = p - h. Is g composite?
False
Is -2*(4 + (-2126)/4) prime?
False
Suppose m + 128 + 35 = 0. Let u = m - -798. Is u a prime number?
False
Suppose -3242 + 790 = -4*k. Is k a prime number?
True
Suppose 4*g = 10*g - 7458. Is g composite?
True
Let t(m) = m**3 - 6*m**2 + 6*m - 1. Let r be (-26)/(-6) + (-2)/(-3). Let d be t(r). Suppose -4*x = b - 28, -3*x - 14 = d*b - 35. Is x a composite number?
False
Suppose 0 = 4*p - 0 - 48. Suppose 0 = 4*b - 7*b + p. Let n(s) = 21*s - 5. Is n(b) a prime number?
True
Let r(a) = 156*a**2 + 2*a - 1. Suppose -3*s + 4*s - 1 = 0. Is r(s) a composite number?
False
Suppose i + 3*i + 5*r - 9 = 0, 2*r - 2 = 0. Is (-2)/i + 1*87 a prime number?
False
Let u(p) = 2*p**2 + 4*p + 3. Is u(-4) a composite number?
False
Let h be (16/2)/(2/3). Suppose 4*s = -5*b - h, -s = -b - 2*b + 3. Suppose 0*n + 9 = 3*n + 4*i, -4*n + 4*i + 12 = b. Is n a composite number?
False
Let d = 1579 + -930. Is d composite?
True
Let a = 5 - 0. Let b be (-1)/(-1) - -1*a. Suppose -l + 2*k = -45, 3*l - b*k - 136 = -k. Is l a prime number?
True
Suppose 6*j = 3*j - 1110. Let m = -105 - j. Is m prime?
False
Let x(l) = 16*l**2 + 2*l. Let z be x(-2). Let g = z + -11. Suppose v + 2 = 0, g = 4*j + 5*v - 45. Is j a prime number?
False
Let v(a) = -a + 11. Let r be v(9). Let l(t) = -1 - t**r + t**2 + 3*t**2 - t. Is l(5) prime?
False
Is (-4)/10 - (82056/(-40) + 4) a composite number?
True
Let b be (-3 - -2)/((-1)/272). Suppose 2*t = 392 + b. Suppose -82 = 3*p - 4*p + 5*w, -5*p - w = -t. Is p a composite number?
False
Let a(s) be the third derivative of s**6/120 + s**5/4 + 3*s**4/8 - 5*s**3/6 - 3*s**2. Is a(-12) a composite number?
True
Let t be -2 + 5 + 1/(-1). Suppose t*i - 163 = -33. Is i prime?
False
Is 10*((-130)/4)/(-5) prime?
False
Suppose 8*v - 6*v - 634 = 0. Is v prime?
True
Let c = 0 + 4. Let b be (-16)/(-12) - c/(-6). Suppose -2*z = -3*q + 53, -z - 27 = -b*q + 2*z. Is q composite?
True
Suppose -34*k + 30*k = -12. Is (-1)/k - (-3432)/36 prime?
False
Is (-9)/(-6)*5726/21 a composite number?
False
Is (2 - (-415)/2) + 30/20 a prime number?
True
Let t be (-6*1)/2 - -3. Let d be (6/(-3) + 3)*0. Suppose -2*r + d*r + 46 = t. Is r a prime number?
True
Suppose -4*x + 19 = -9. Let s = 52 + x. Is s composite?
False
Let l be ((-2 + 2)/(-1))/(-2). Let g(w) = -20*w + 8. Let u be g(-7). Suppose -2*j + 6*j - u = l. Is j prime?
True
Suppose 2*h = -8, -2*i - 8*h + 3*h + 386 = 0. Is i composite?
True
Let s(u) = u**3 - 7*u**2 + 6*u + 6. Let r be s(6). Suppose -r*t + 393 = -3*t. Is t a composite number?
False
Let m = 380 + -809. Let k = m + 908. Suppose -3*l + 4*w + k = 0, -4*l + 2*l + w + 321 = 0. Is l a prime number?
False
Suppose f = 2*v - 2*f + 15, 3*v + 2*f - 10 = 0. Suppose 2*o = -v*o. Suppose o = -4*x + 3*a - 4*a + 89, x + 4*a = 41. Is x a composite number?
True
Let i(y) = y + 8. Let c be i(0). Suppose -c = 4*h + 4, 0 = -2*l - 5*h + 101. Is l prime?
False
Let c be 1/2 + 40/16. Suppose -2*h - c*w - 10 + 4 = 0, h + w = -2. Suppose 4*x = h, -37 - 63 = -4*b + 2*x. Is b a prime number?
False
Let v(m) = -36*m - 1. Is v(-4) prime?
False
Let r(f) = 2*f**2 - 13*f + 13. Is r(9) a prime number?
False
Suppose 4*m + 16 = 0, 4*d - 72 = 3*m + m. Let c be 49/d - 2/4. Is 114/(6/c) + 2 a prime number?
True
Let d(q) be the second derivative of -103*q**3/6 - 3*q**2/2 + 2*q. Is d(-2) a composite number?
True
Let z(d) = d**2 - 7*d + 5. Let w be z(7). Let s(b) = 3 + w - 4*b + 3*b. Is s(-6) a prime number?
False
Let w(h) = -h**2 - 3*h + 4. Let o be w(-6). Let u = o - -23. Suppose u = -3*x, 6*p - 60 = 3*p - 3*x. Is p prime?
True
Suppose 3*a + 3*z = 5*a - 11, 2*a - z - 9 = 0. Is ((-1004)/a)/(-4 + 3) prime?
True
Suppose 1753 = i + 314. Is i composite?
False
Let k(a) = 3*a**2 + 2 - a - 3 - 2*a**2. Let v(h) = h**2 + 3*h - 2. Let c be v(-2). Is k(c) a composite number?
False
Let t be 193/((9/(-6))/3). Let k = 543 + t. Is k a composite number?
False
Let d(a) = -a - 12. Let k be d(-11). Is 227 - k/1*-4 prime?
True
Suppose -3*u + 28 = -7*u. Let r = -7 - u. Suppose 4*a - 2*s - 286 = -r*s, -2*a + 2*s + 148 = 0. Is a composite?
True
Suppose 0 = 5*u - 2*u + 4*o + 27, 2*u = -2*o - 18. Let p be (0 - -1)/(3/(-9)). Is (3/u)/(p/189) prime?
False
Let l = -9 + 474. Let j = 664 - l. Is j prime?
True
Let y = -16 - -32. Let u = 39 + y. Is u prime?
False
Suppose 1 = 5*h - 19. Suppose 7*p + 15 = 2*p, 3*j + h*p = 72. Suppose 0 = 4*g - 2*o - j - 88, 4*o + 108 = 4*g. Is g a composite number?
False
Suppose -5*i = -7*g + 3*g + 837, -4*i = -12. Suppose -4*h + h = -g. Le | {
"pile_set_name": "DM Mathematics"
} |
minator of h and 101/84.
420
Let i = 30 - 21. Let g be -3*1/9*0. Suppose 2*b - 3 - 6 = c, 2*b - 5*c + 11 = g. What is the least common multiple of b and i?
63
Let y be 20/(-6)*((-117)/(-45) - 5). What is the smallest common multiple of 51 and 96/128*y/3?
102
Let f be 4/(-24)*-30*(-3)/11. Let j = f + -137/77. What is the common denominator of -22/35 and j?
35
Let h = -3/24473 + 2227475/3524112. Find the common denominator of 121/360 and h.
720
Suppose 44 = -0*l + 4*l. Suppose 11 = s - l. Let t = 5479 + -5467. Calculate the lowest common multiple of s and t.
132
Let z(y) = y**3 + 6*y**2 + 3*y - 4. Let o be z(-5). Suppose 22*g - o*g = 896. Calculate the smallest common multiple of g and 36.
504
Let m = 8937 + -8909. Calculate the smallest common multiple of 452 and m.
3164
Let z = -2851939205/44 + 64824671. Let y = z + -7870. What is the common denominator of (3264/90)/(-32) + 4/120 and y?
220
Let u = 4/282687965 - -4620001719167/1696127790. Let c = 5/157244 + -3000844531/1100708. Let x = u + c. Find the common denominator of x and -73/9.
90
Let i = 2430 - 1690. Let k be -3*3/(-12) - i/(-16). Let b = -29 + k. Calculate the smallest common multiple of 26 and b.
234
Let u = -119 + 119. Suppose 12*o - 7*o + 2*y = 20, y = u. What is the lowest common multiple of o and 11?
44
Let k = -1743643327/1368 + 1274593. What is the common denominator of k and -133/54?
4104
Let y be (-6)/27 + (-1 - (-29290)/18). Let l = y + -39001/24. Find the common denominator of l and 79/20.
120
Suppose -3*m = -2*d - 21, -3*d = -14*m + 12*m + 19. What is the common denominator of 37/2 and 146*(-4)/(-48)*d/9?
18
Suppose 22*f - 252 = 15*f. Calculate the smallest common multiple of f and 508.
4572
Suppose 4*o = 4*r, -2*r - 32 = 3*r + 3*o. Let n be ((-4)/r - 1) + -1567. Let k = 7773/5 + n. Calculate the common denominator of k and 19/11.
55
Find the common denominator of 1/95 and (((-1208)/(-304))/1 + -4)*47/1.
190
Let v = -56938 + 56941. Let b(u) = 5*u**2 + u + 1. What is the smallest common multiple of v and b(2)?
69
Let z = -3973303/16 - -246710. Suppose 0 = 4*d + 3223 + 3265. Let b = z - d. Find the common denominator of b and -37/10.
80
Suppose -12 = 3*h + 3*g, -h - 16 = 2*h + 4*g. Suppose 2*j + 0*u + 15 = 3*u, h = -j - u. What is the common denominator of 41/12 and 131/j*(-17)/(-68)?
12
Let x be ((-1377)/(-135))/(1/815). Let l = x - 299207/36. Calculate the common denominator of l and -57/28.
252
Let z be ((-1)/82)/((-1)/(-100)). Let w = -1811/902 + z. Let a = 42027 - 1933169/46. Calculate the common denominator of a and w.
506
Calculate the common denominator of -101/54 and (7 - 99/15) + 1592/(-3330).
1998
What is the lowest common multiple of 36 and (-1 - (-3711)/36) + 31/(-372)?
612
Let q = -936 + 927. Find the common denominator of -1*(182/(-36) - 3/q) and 14/8*4/(-176).
1584
Let f be 1*-2*5/(-2 + 1). Let u be ((-15)/(-20))/(-1) + f/(-8). Calculate the least common multiple of 8 and 10*1 + (u - -1)/(-1).
88
What is the common denominator of (-657)/(-30) + 300/500 and -46/43?
86
Let n(t) = 475*t - 22759. Calculate the least common multiple of n(48) and (-112)/(-18) + (-2)/9.
246
Let l(o) = 258*o + 1065. What is the least common multiple of 15978 and l(-4)?
175758
Let r(t) = -4 + 1 + t**2 - 5 + t + t**3 + 4. Let o be r(0). What is the least common multiple of 10 and (-3)/(9/o) - 2/(-3)?
10
Suppose g - 4*g = 2*c - 6, -g - c = -1. Suppose 0 = 2*r - 4*d - 16, 4*r - g*d = -11 + 39. What is the least common multiple of r and 34?
102
Let a = 1/8340 + -276147/2780. Let l = a - -102. Find the common denominator of l and 54/49.
147
Let x = -2738 + 2744. What is the least common multiple of 121 and x?
726
Suppose 12 = -7*i + 57 + 67. Calculate the least common multiple of 106 and i.
848
Let m = 14339/90 - 1370/9. What is the common denominator of m and (-5 - 392/(-160)) + 2/4?
20
Let f = -20 - -20. Suppose z - 3*z + 24 = f. Suppose 0 = 5*h - 3*y - 48, h - 15 = -4*y + 13. What is the smallest common multiple of z and h?
12
Let s be 16/40*6*-5. Let n = 130/127 + -13619/1270. Calculate the common denominator of n and 1 + 2/s*237.
10
Let m = 205 - 139. Let g = -186454 - -186532. Calculate the smallest common multiple of g and m.
858
Let z = -1481 + 4499/3. Let n be (6/146988)/(10/(-138782)). Let c = 2/12249 - n. Calculate the common denominator of z and c.
30
Calculate the lowest common multiple of 1848 and 13205/40 - ((-81)/(-8) - 10).
9240
Let a = 6885 + -5177. What is the smallest common multiple of 56 and a?
3416
Calculate the common denominator of ((-1)/(-196))/((-760)/275 + 3) and -2/7.
2548
Let s(m) = 18*m + 16. Let w be s(5). Let a be (-4 + 4 - 4) + w. What is the common denominator of -83/6 and (110/(-33))/(8/a)?
6
Let t = 89 - 86. Suppose 2*c = -4*k + 84, 14 = c + t*k - 31. What is the smallest common multiple of 24 and c?
72
Let p = -221 + 10. Let u = p - -221. Let i = 49 + -27. Calculate the least common multiple of u and i.
110
Calculate the lowest common multiple of 57 + (-1)/((-14)/28) and 85.
5015
Let w = -71141/24 - -2963. Find the common denominator of w and 151/300.
600
Let y = -1390 - -1910. Calculate the least common multiple of 572 and y.
5720
Let v = 167 + -167. Calculate the least common multiple of 21 and ((-1096)/(-26) - 4/26) + v.
42
Let x be 1*((-3)/(-2))/((-6)/(-64)). Let n be 7438/x + (-1)/(3 - 7). Let t = 460 - n. What is the common denominator of 22/3 and t?
24
Suppose 0 = 6*h - 13 + 19. Let v be h/(4/(-348)*3). Let s = -8 + v. What is the least common multiple of s and 30?
210
Suppose 39401*t - 39402*t + 60 = 0. Calculate the smallest common multiple of 1845 and t.
7380
Let l be (1*4/(-6))/((-3)/27). Suppose -5*a + 4*m = -161, l*a + m = 4*a + 54. What is the smallest common multiple of a and 7?
203
Let g(v) = -v**3 + 5*v**2 + 23*v - 79. Let b = 11 + 9. What is the lowest common multiple of g(5) and b?
180
Let s(y) = y**2 + 10*y + 7. Let l be s(-9). What is the smallest common multiple of 75 and l*(-16)/10*30/4?
600
Suppose 4*t + 5*m = -10 + 59, 4*t + 7*m = 43. What is the lowest common multiple of t and 52?
208
What is the common denominator of (-9)/((-3888)/904) + -2 + 0 and 55/1449?
8694
Suppose g + 4*h - 10 = 0, -3*g = -5*g + 4*h + 44. Let t = 2294 + -13723/6. What is the common denominator of (62/(-12))/(4/g) and t?
12
Let m(o) = -952*o - 2. Let s be m(-1). Let n = s + -53177/56. Calculate the common denominator of n and -1/64.
448
Let c = -16345/1266 + -54/211. Let v = 5/19 + -5349/38. Let j = -146 - v. Find the common denominator of j and c.
6
Let n(z) = z**3 - 41*z**2 - 44*z + 126. Suppose w = 2*w + 21. Let s = 27 + w. What is the smallest common multiple of n(42) and s?
42
Suppose 2*k - 715 + 469 = 0. Suppose -725 = -43*h - k. Let q = 115 + 3. What is the lowest common multiple of h and q?
826
Let u be 1 - ((-1841)/(-3))/1. Suppose -592 = 5*g - 16*g + 10*g. Let i = g + u. What is the common denominator of 35/4 and i?
12
Let c = -2870/53 - -210509/3816. Calculate the common denominator of 41/108 and c.
216
Let n = 5085147/10 + -507368. Let k = -1136 + n. Find the common denominator of (-74)/(-100) - (-2)/4 and k.
50
Let o(j) = 5*j**2 - 8*j + 4. Let w be o(3). Suppose w*x + 800 = 45*x. Calculate the lowest common multiple of x and 50.
200
Let x = 96376 - 1347585/14. Let y = x - 225/2. Calculate the common denominator of -52/67 and y.
469
Suppose 4*i - 60 - 208 = -4*h, -2*h = 4. Suppose 24*y - i = 147. What is the smallest common multiple of 9 and y?
9
What is the common denominator of (379/(-4) + 1)*86/215 and 31/13432?
13432
Let m = 9502561/22 - 441518. Let a = 9588 + m. Calculate the common denominator of -1/20 and a.
220
Let o = 30575609/30322680 - 2/252689. What is the common denominator of o and -101/28?
840
Let z = -391745/11 + 35609. Calculate the common denominator of z and -15/41.
451
Let g = -78361382 - -3056401102/39. Let d = 7875 - g. Find the common denominator of d and 76/9.
117
Let q(d) be the first derivative of d**2/2 + 11*d + 81. What is the lowest common multiple of 15 + -2 - (2 + 0) and q(-3)?
88
Suppose 522 = -4*r + 518. What is the common denominator of (r - -4) + (-21)/(-288)*-49 and 145/12?
96
Let d = 13400 + -267957/20. Find the common denominator of d and 49/270.
540
Let d(s) = -2557*s - 30594. Let v = 2 + 12. What | {
"pile_set_name": "DM Mathematics"
} |
85441, 128178, 170915, 213652, 256389?
299126
What comes next: 1, 16, 41, 76, 121, 176, 241?
316
What comes next: 1763, 3912, 6449, 9374, 12687, 16388?
20477
What comes next: -1180, -970, -784, -628, -508, -430, -400?
-424
What is next in -2537, -2533, -2545, -2579, -2641, -2737?
-2873
What is the next term in 603, 1140, 1613, 2022, 2367?
2648
What comes next: 168, 144, 150, 198, 300, 468, 714, 1050?
1488
What is the next term in 146, 223, 268, 281, 262, 211, 128?
13
What is the next term in 77, 79, 91, 119, 169, 247, 359?
511
What is next in 5810, 5783, 5732, 5657, 5558?
5435
What is next in 29769, 29750, 29721, 29682, 29633, 29574, 29505?
29426
What is the next term in -13525, -54063, -121615, -216181, -337761, -486355?
-661963
What is the next term in -2569, -2664, -2821, -3046, -3345?
-3724
What is the next term in -2374, -4713, -7030, -9313, -11550, -13729, -15838, -17865?
-19798
What is the next term in 49815, 99627, 149439, 199251, 249063, 298875?
348687
What is the next term in -16069, -32140, -48211, -64282, -80353, -96424?
-112495
What is the next term in 8595, 8594, 8593, 8592, 8591, 8590?
8589
What is the next term in 212, 245, 338, 521, 824?
1277
What is next in 16749, 33496, 50243, 66990, 83737?
100484
What is next in 94, 310, 684, 1294, 2218?
3534
What comes next: -2188615, -2188616, -2188617?
-2188618
What comes next: 1289, 1229, 1063, 737, 197, -611, -1741?
-3247
What comes next: -2391, -2649, -2907?
-3165
What is next in 425, 1496, 3211, 5564, 8549, 12160, 16391, 21236?
26689
What comes next: 10498, 10490, 10482, 10474, 10466, 10458?
10450
What comes next: -1992, -3197, -5206, -8019, -11636, -16057, -21282?
-27311
What comes next: -27632, -55264, -82896, -110528, -138160?
-165792
What is next in 154, 386, 726, 1174, 1730, 2394, 3166?
4046
What comes next: -2796, -5579, -8350, -11103, -13832, -16531?
-19194
What is next in 56269, 225210, 506787, 901006, 1407873, 2027394, 2759575?
3604422
What is the next term in 1783116, 1783115, 1783114, 1783113, 1783112, 1783111?
1783110
What comes next: -1344, -2073, -2802, -3531, -4260?
-4989
What comes next: -2412077, -4824152, -7236225, -9648296, -12060365, -14472432, -16884497?
-19296560
What comes next: 107333, 214661, 322001, 429359, 536741, 644153, 751601?
859091
What is next in 1715, 13918, 47063, 111620, 218059, 376850, 598463, 893368?
1272035
What is next in -475845, -951694, -1427543?
-1903392
What is the next term in -13454, -53897, -121302, -215669, -336998, -485289, -660542?
-862757
What comes next: 30, 46, 64, 102, 178, 310, 516, 814?
1222
What is next in -8000, -8039, -8074, -8099, -8108, -8095?
-8054
What is next in -37855, -37858, -37861, -37864, -37867, -37870?
-37873
What is next in 1678, 1470, 1260, 1048, 834?
618
What comes next: -171, -488, -921, -1470?
-2135
What is the next term in 356, 458, 558, 656, 752, 846, 938?
1028
What is the next term in -1499920, -1499919, -1499918, -1499917, -1499916?
-1499915
What is next in -78, -189, -274, -327, -342, -313?
-234
What comes next: -85, -183, -287, -397?
-513
What is the next term in 362262, 362268, 362278, 362292, 362310?
362332
What comes next: 5864, 23499, 52894, 94049, 146964, 211639?
288074
What is next in -26, -80, -204, -434, -806, -1356, -2120?
-3134
What comes next: -2283, -1574, -865, -156, 553, 1262?
1971
What comes next: -558018, -558018, -558020, -558024, -558030, -558038, -558048?
-558060
What is the next term in -6860, -6837, -6814, -6791, -6768?
-6745
What comes next: 225, 295, 211, -27, -419?
-965
What comes next: 1333, 1311, 1287, 1261, 1233, 1203, 1171?
1137
What comes next: 292, 308, 312, 298, 260?
192
What is next in 92947, 92944, 92941?
92938
What comes next: 392149, 392152, 392155, 392158, 392161?
392164
What is next in -32622, -32585, -32544, -32499?
-32450
What is the next term in -315, -2569, -8711, -20691, -40459, -69965, -111159?
-165991
What comes next: -77703, -155391, -233079, -310767, -388455, -466143?
-543831
What is the next term in 88906, 177796, 266686, 355576?
444466
What is the next term in 3393, 6779, 10163, 13545, 16925, 20303?
23679
What is the next term in 5, -39, -71, -85, -75?
-35
What comes next: 96685, 193369, 290053, 386737?
483421
What comes next: -475621, -951242, -1426863?
-1902484
What comes next: 1922, 1901, 1858, 1787, 1682, 1537?
1346
What comes next: -27883, -27886, -27897, -27922, -27967?
-28038
What comes next: -31, -208, -383, -556, -727, -896?
-1063
What comes next: 594, 2237, 4994, 8865?
13850
What is the next term in -52572, -52539, -52492, -52437, -52380?
-52327
What comes next: -361, -603, -861, -1141, -1449, -1791?
-2173
What is the next term in -15, -418, -1515, -3654, -7183, -12450, -19803, -29590?
-42159
What is next in -583, -548, -437, -208, 181, 772, 1607?
2728
What comes next: 191, 269, 347?
425
What comes next: -324, -621, -900, -1161, -1404, -1629, -1836?
-2025
What is the next term in -937, -1901, -2865, -3829?
-4793
What is next in 134, 79, -64, -331, -758, -1381, -2236, -3359?
-4786
What is next in 3092943, 3092942, 3092941, 3092940?
3092939
What comes next: -1114, -4451, -10010, -17791?
-27794
What comes next: -1922, -3763, -5604?
-7445
What is the next term in -14, -89, -218, -395, -614, -869, -1154, -1463?
-1790
What is next in 22071, 44135, 66199?
88263
What comes next: -1845, -7393, -16639, -29583, -46225, -66565, -90603?
-118339
What comes next: -9965, -40008, -90081, -160184?
-250317
What is the next term in -48, -475, -1188, -2187?
-3472
What comes next: 1556661, 3113323, 4669987, 6226653, 7783321, 9339991?
10896663
What comes next: 36, -46, -138, -246, -376, -534?
-726
What is the next term in -147, -124, -85, -30, 41?
128
What comes next: -191, -602, -1445, -2936, -5291, -8726, -13457, -19700?
-27671
What comes next: 39041, 78079, 117117, 156155, 195193?
234231
What is next in 41034, 41040, 41048, 41058, 41070, 41084?
41100
What is the next term in -119764, -239515, -359266?
-479017
What comes next: 3562, 7588, 11600, 15592, 19558, 23492?
27388
What is next in 4613, 8059, 11507, 14957?
18409
What comes next: 37, 721, 1399, 2071, 2737, 3397?
4051
What is next in 77412, 309645, 696702, 1238583, 1935288?
2786817
What is the next term in -14219, -28286, -42351, -56414, -70475, -84534?
-98591
What comes next: -58836, -58835, -58834, -58833, -58832?
-58831
What is next in -41201, -41200, -41199?
-41198
What is the next term in 103503, 103503, 103501, 103497?
103491
What is next in -104, -186, -274, -368, -468?
-574
What comes next: 3661, 3643, 3625?
3607
What is the next term in -7920, -7921, -7922, -7923, -7924?
-7925
What is the next term in 81, 116, 153, 180, 185, 156, 81?
-52
What is next in -79, -438, -1077, -2002, -3219, -4734, -6553, -8682?
-11127
What is the next term in -84, -566, -1874, -4422, -8624?
-14894
What comes next: -10592, -10581, -10554, -10505, -10428, -10317, -10166, -9969?
-9720
What is the next term in 187, 655, 1433, 2515, 3895, 5567, 7525?
9763
What comes next: -108843, -217670, -326487, -435288, -544067, -652818, -761535, -870212?
-978843
What is the next term in 217, 265, 355, 487, 661?
877
What is the next term in 742082, 742079, 742074, 742067, 742058, 742047, 742034?
742019
What is next in -24817, -24810, -24803, -24796, -24789?
-24782
What is next in 3493, 3501, 3515, 3535, 3561?
3593
What comes next: -3, 22, 73, 144, 229, 322, 417?
508
What is the next term in 3783, 3790, 3793, 3792?
3787
What is next in -5239, -6422, -7605, -8788, -9971, -11154?
-12337
What is the next term in 364045, 364050, 364055, 364060, 364065, 364070?
364075
What comes next: 57, 214, 467, 810, 1237, 1742, 2319, 2962?
3665
What comes next: 3772, 7525, 11240, 14899, 18484, 21977, 25360, 28615?
31724
What comes next: 17, 53, 89, 125, 161, 197?
233
What comes next: 41610, 83216, 124822, 166428, 208034, 249640?
291246
What is next in 7315, 14631, 21959, 29305, 36675, 44075, 51511?
58989
What comes next: -619, -1090, -1571, -2068, -2587, -3134, -3715, -4336?
-5003
What is next in -442303, -884608, -1326913?
-1769218
What is next in -16611, -16547, -16481, -16413, -16343, -16271, -16197?
-16121
What is the next term in -4802468, -4802471, -4802476, -4802483?
-4802492
What comes next: -111, 203, 1055, 2715, 5453, 9539, 15243?
22835
What is n | {
"pile_set_name": "DM Mathematics"
} |
+ l**2 + 12*l**3 - l**2 - 27*l**3.
-l**3
Collect the terms in -714*u + 1561*u - 236*u + 2521*u.
3132*u
Collect the terms in -10 + 2*h - 3*h + 0*h + 43.
-h + 33
Collect the terms in 4*b**3 + 9*b**3 - 10*b**3 + 17*b**3.
20*b**3
Collect the terms in r**2 + 37*r + 2*r**2 + r**2.
4*r**2 + 37*r
Collect the terms in -1956*r - 24*r**2 + 976*r + 980*r.
-24*r**2
Collect the terms in -i - 5*i - 6*i + 13*i.
i
Collect the terms in 22*z**3 + 32*z - 5*z**3 - 32*z.
17*z**3
Collect the terms in -72*b**2 + 4*b - 4*b.
-72*b**2
Collect the terms in 7 - 10 + 3 + 23*m - 22*m.
m
Collect the terms in 6 - 15*o - 95 + 13*o.
-2*o - 89
Collect the terms in 6*f**3 - 2 - 4*f**3 - 15*f**3 - 7*f**3.
-20*f**3 - 2
Collect the terms in -51 + 11*l + 111 - 60.
11*l
Collect the terms in 30*s - 45*s - 14*s - 50*s.
-79*s
Collect the terms in 17*a - 10*a + 4*a + 6*a.
17*a
Collect the terms in 0*k + 53*k - 2*k.
51*k
Collect the terms in -127*q - 274*q + 405*q.
4*q
Collect the terms in 32*y**2 - 11*y**2 + 11*y**2 + 2*y**2.
34*y**2
Collect the terms in 1062*x - 1062*x - x**2.
-x**2
Collect the terms in 6*q + 2*q + 4*q - 15*q.
-3*q
Collect the terms in -4*g**3 + 4*g**2 - 4*g**2 + 8*g**3 - 6*g**3.
-2*g**3
Collect the terms in -102*n**2 + 40*n**2 + 59*n**2.
-3*n**2
Collect the terms in 5*j + j + 2*j - 10 - 7*j.
j - 10
Collect the terms in 6*u - 25 + 6*u + 6 + 2*u.
14*u - 19
Collect the terms in -6*a**2 + 18*a**2 - 7993*a + 7993*a.
12*a**2
Collect the terms in -20*k - 25*k + 406*k**3 + 43*k.
406*k**3 - 2*k
Collect the terms in 2 - 2 + 0 - 68*k**3.
-68*k**3
Collect the terms in -14*n**3 + 2 - 26*n + 26*n.
-14*n**3 + 2
Collect the terms in -7*d**2 - 13*d**2 + 8*d**2 - 205 + 205.
-12*d**2
Collect the terms in -14*y**2 + 14*y**2 - 4*y**3.
-4*y**3
Collect the terms in -16*p**2 + 18*p**2 - 63*p**2 - 35*p**2.
-96*p**2
Collect the terms in 203*s**2 + 206*s**2 - 417*s**2.
-8*s**2
Collect the terms in -2*s**3 - 3795 + 3795.
-2*s**3
Collect the terms in 71*d - 172*d + 61*d + 59*d.
19*d
Collect the terms in 123*u**3 - 60*u**3 - 64*u**3.
-u**3
Collect the terms in -32*o**3 + 66*o**3 - 25*o**3.
9*o**3
Collect the terms in -61*w**3 + 20*w**2 - 22*w**2 + 13*w**3 - 56*w**3.
-104*w**3 - 2*w**2
Collect the terms in 3 + 128*k - 226*k - 3 + 139*k.
41*k
Collect the terms in -o + 0*o + 4*o - 9*o.
-6*o
Collect the terms in 324 - 3*d + 324 - 11*d - 648.
-14*d
Collect the terms in 29*r**3 - 13 - 15*r**3 + 13.
14*r**3
Collect the terms in 7*j**2 + 2*j**2 + 550 - 550.
9*j**2
Collect the terms in -13 - 5*v**2 + 12 + 1.
-5*v**2
Collect the terms in 4*t + 2*t + 5*t.
11*t
Collect the terms in 33*s**2 + 0 + 3 - 17*s**2.
16*s**2 + 3
Collect the terms in 23*v**2 - 10 + 10.
23*v**2
Collect the terms in 25*u**2 - 7*u**2 - 3*u**2 - 8*u**2.
7*u**2
Collect the terms in -12*z + 18*z - z + 2 - 2.
5*z
Collect the terms in 6*a**2 + 12*a**2 + 3 - 3.
18*a**2
Collect the terms in -625*w**2 - 1280*w**2 - 816*w**2.
-2721*w**2
Collect the terms in 79*v + 85*v - 163*v.
v
Collect the terms in -24*a - 8*a + 65*a - 15*a.
18*a
Collect the terms in -61 + 61 - w**2 - 5*w**2.
-6*w**2
Collect the terms in -7*f + 6*f + 0*f + 72.
-f + 72
Collect the terms in 4*b - 13*b + 7*b.
-2*b
Collect the terms in -3*j**2 + 2*j**3 - 5*j**3 + 12*j**2 + 4*j**3.
j**3 + 9*j**2
Collect the terms in 2586*h**3 - 2584*h**3 + h**2 - h**2.
2*h**3
Collect the terms in -14*p + 30*p - 14*p.
2*p
Collect the terms in 249 - 17*f + 0*f - 249.
-17*f
Collect the terms in -13*j**2 - 40*j**3 + 13*j**2 - 22*j**3.
-62*j**3
Collect the terms in -2 - 2 + 3 + 4*z + 1.
4*z
Collect the terms in -7*x**3 + 123 - x**3 - 121 - 5*x**3.
-13*x**3 + 2
Collect the terms in -22 + 26 - 4 - 4*i.
-4*i
Collect the terms in -223 + 100 - j + 123 - 2*j.
-3*j
Collect the terms in -26*h**2 - 32*h**2 + 20*h**2.
-38*h**2
Collect the terms in -24 + 218*t + 24.
218*t
Collect the terms in 296 - c - 296.
-c
Collect the terms in -29 + 29 + 33*d**3.
33*d**3
Collect the terms in 85*v - 161*v + 79*v.
3*v
Collect the terms in -76*v**2 + 35*v**2 + 33*v**2.
-8*v**2
Collect the terms in -31 - 12 + 3*l**2 + 43.
3*l**2
Collect the terms in -20*t**3 + 44*t**3 - 27*t**3.
-3*t**3
Collect the terms in 184*c - 90*c**2 - 40*c**2 - 184*c.
-130*c**2
Collect the terms in 5367 - 5367 + 8*u**3.
8*u**3
Collect the terms in -29*l**2 + 5*l + 3*l + 102*l**2.
73*l**2 + 8*l
Collect the terms in 3 - 13 - 21*q**3 + 10.
-21*q**3
Collect the terms in -19*h**2 - h**2 - 5*h**2.
-25*h**2
Collect the terms in -21*l**2 + 11*l**3 + 6*l**2 + 9*l**2.
11*l**3 - 6*l**2
Collect the terms in -38*j**2 + 16*j**2 + 19*j**2.
-3*j**2
Collect the terms in -393*z + 131*z + 129*z + 131*z.
-2*z
Collect the terms in 73*x**2 - 16*x**2 - 42*x**2.
15*x**2
Collect the terms in -23*q + 205*q + 232*q - 7*q**3.
-7*q**3 + 414*q
Collect the terms in 37*q**3 + 6*q**2 - 75*q**3 + 39*q**3.
q**3 + 6*q**2
Collect the terms in 3 + 16*m**2 + 4 - 7.
16*m**2
Collect the terms in 4 + m - 3 - 19*m - 2.
-18*m - 1
Collect the terms in p + p**2 + 7*p + 3*p**2.
4*p**2 + 8*p
Collect the terms in 47*y - 3 + 16*y + 2 - 19*y.
44*y - 1
Collect the terms in -16*h - 5*h - 6*h.
-27*h
Collect the terms in -17*r + 19*r + 4*r.
6*r
Collect the terms in 2*b - 2*b + 10*b**3 - 28 + 32.
10*b**3 + 4
Collect the terms in -3219*x + 1603*x + 1607*x.
-9*x
Collect the terms in 278 + s + 266 - 544.
s
Collect the terms in 234*c**2 - 141*c**2 + 163*c**2.
256*c**2
Collect the terms in 91*y**2 - 51*y**2 + 54*y**2.
94*y**2
Collect the terms in 209*a + 6*a**3 - 209*a - 5*a**3.
a**3
Collect the terms in m**3 - 2361*m + 2361*m.
m**3
Collect the terms in n**2 + 0*n**2 + 10277 - 10277.
n**2
Collect the terms in -1 - 55*b + 1 + 0.
-55*b
Collect the terms in -14*r**2 - 20*r**2 - 16*r**2 - 27*r**2.
-77*r**2
Collect the terms in 2*k**3 + 2*k**3 + 3*k**3 - 7*k**3 - 4*k**3.
-4*k**3
Collect the terms in 736*r**2 - r + r + 0*r.
736*r**2
Collect the terms in -11*n**3 + 8*n**3 + 18*n**3.
15*n**3
Collect the terms in 480*k + 77493 - 480*k + 2*k**2 - 77493.
2*k**2
Collect the terms in -y**2 - 43*y + y + 42*y.
-y**2
Collect the terms in -33*f - 28*f - 34*f + 19*f.
-76*f
Collect the terms in 58*f + 56*f - 28*f + 17*f.
103*f
Collect the terms in -316*p - 291*p + 198*p.
-409*p
Collect the terms in -72*z + 138*z - 2*z**2 - 5 - 66*z.
-2*z**2 - 5
Collect the terms in -6*p**2 - p**2 + 12 - 12.
-7*p**2
Collect the terms in 135 - 135 + r**3 - 3*r**3.
-2*r**3
Collect the terms in 47*z**3 - 42*z**3 + 86*z**3 + 2*z**2 - 2*z**2.
91*z**3
Collect the terms in 0*t + 0*t + 259*t**2 - 514*t**2 + 256*t**2.
t**2
Collect the terms in 10 - 20 + 10 + c**2 + 7*c.
c**2 + 7*c
Collect the terms in 201*w**2 - 375*w**2 + 122*w**2.
-52*w**2
Collect the terms in 21*n + 22*n - 61*n + 17*n.
-n
Collect the terms in 42*a**3 - 14*a**3 + 36*a**3.
64*a**3
Collect the terms in -1 + 1 - 8*z + 10*z.
2*z
Collect the terms in 1 + 198*b**2 - 1 - 195*b**2.
3*b**2
Collect the terms in -3 + 3 + 158*i**2 + 71*i**2.
229*i**2
Collect the terms in 449*h**2 + 2*h**3 - 449*h**2.
2*h**3
Collect the terms in -67951*i**2 + 3*i**3 - i**3 + 135897*i**2 - 67946*i**2.
2*i**3
Collect the terms in -3*d**2 + 32 + d**2 + 116 + 4*d**2.
2*d**2 + 148
Collect the terms in 93*q - 3 - 35*q + 3.
58*q
Collect the terms in 100*d**3 - 56*d**3 - 58*d**3.
-14*d**3
Collect the terms in -125*k**2 + 0*k + 2*k - 2*k.
-125*k**2
Collect the terms in -16*s**2 - 24*s**2 - 13*s**2.
-53*s**2
Collect the terms in -6*x**2 - 15*x**2 - 10*x**2.
-31*x**2
Collect the terms in -6749*i + 3352*i + 3399*i.
2*i
Collect the terms in -9*v**3 - 13*v**3 + 25*v**3.
3*v**3
Collect the terms in 5*k + 2*k - 9*k + 6*k.
4*k
Collect the terms in -992*l + 326*l + 3615*l.
2949*l
Collect the terms in -3*s**3 - s + 4*s + 2*s - 4*s.
-3*s**3 + s
Collect the terms in -w - 2*w + 5*w + 14*w.
16*w
Collect the terms in 2*w - 2*w - 3*w.
-3*w
Collect the terms in 49 - g**2 - 49.
-g**2
Collect the terms in -10 + 3 + 68*s**2 + 7 - 63*s**2.
5*s**2
Collect the terms in 5*t**3 - t**3 + 5*t**3 - t**3.
8*t**3
Collect the terms in 3*p + 1140894 - 3*p - 1140894 + p**3.
p**3
Collect the terms in 1 + 8 + 27*o - 3 - 3.
27*o + 3
Collect the terms in 1486*f - 13*f**2 - 1486*f.
-13*f**2
Collect the terms in 70*j**3 + 74*j**3 - 165*j**3.
-21*j**3
Collect the terms in -22*j**2 + 48*j**2 - 22*j**2.
4*j**2
Collect the terms in 11*c + 21*c - 50*c + 12*c.
-6*c
Collect t | {
"pile_set_name": "DM Mathematics"
} |
/(-30)). Suppose 4*k + a - 162 = 0, 0*k - 4*k - 2*a + 164 = 0. What is the remainder when k is divided by 2 + p + (0 - 2)?
12
Let w(p) = -p**3 + 2*p**2 + 3*p. Let f be w(-2). Calculate the remainder when 9 is divided by (-12)/f*(-40)/12.
1
Let y be 204/14 - 28/49. Let l = -3 + y. What is the remainder when (-97)/(-3) - 2/6 is divided by l?
10
What is the remainder when 2133/297 - (-2)/(-11) is divided by 2 - (-2 + (1 - 1))?
3
Let t(h) = 38 - 13*h - 3*h**3 + 4*h**3 + 15*h. Calculate the remainder when t(0) is divided by 13.
12
Let d(a) = 32*a. Let h = -306 + 324. Calculate the remainder when d(1) is divided by h.
14
Let l = -7429 - -7459. Let d be ((-3)/2)/((-3)/8). Let r = d + 7. Calculate the remainder when l is divided by r.
8
Suppose 231 + 153 = -4*w. Let p = w + 114. What is the remainder when 30 is divided by p?
12
Suppose 0 = -2*r + 2*y - 4, 2*y + 14 = -4*r - 0*r. Let d(j) = j**2 + 3. Suppose 9 = -5*p + 34. What is the remainder when d(r) is divided by p?
2
Suppose 18*y + 14*y = 3808. What is the remainder when y is divided by (-297)/(-12) - 9/12?
23
Let c(w) = -17*w - 85. Calculate the remainder when 80 is divided by c(-6).
12
Suppose 52 = 5*s - 13. What is the remainder when 44 is divided by s?
5
Let l(u) = u**3 - 13*u**2 - 2*u + 16. Let c be l(13). Let d(f) = f**2 + 11*f + 15. Calculate the remainder when 7 is divided by d(c).
2
Suppose 0 = 50*l - 54*l + 36. What is the remainder when 35 is divided by l?
8
Suppose 9*x + 3*x - 744 = 0. Calculate the remainder when x is divided by (-300)/(-18) - 2/3.
14
Let b be (36/(-30))/((-6)/20). Suppose -3 = -x + 61. Calculate the remainder when 105 is divided by 9/4*x/b.
33
Let z = -8 - -17. Let t = -1 - -4. Suppose -13 + 1 = -t*a. Calculate the remainder when z is divided by a.
1
Let v(z) = -z**2 - 7*z + 2. Let m = 154 + -58. Calculate the remainder when m is divided by v(-4).
12
Let q = -5 - -26. Let j = -9 + 11. Calculate the remainder when q is divided by (60/3)/j + 1.
10
Suppose 0 = 5*t + 128 - 438. Let z be 72/5 + (-4)/10. What is the remainder when t is divided by 301/z - (-1)/(-2)?
20
Suppose -3*z = g - 314, -5*g = 3*z - 2*g - 324. What is the remainder when z is divided by 32?
7
Suppose -21*c = -25*c - 16. What is the remainder when ((-4)/((-16)/(-396)))/(c/4) is divided by 20?
19
Let d be ((-8)/2 + 3)*17. Let v = d + 37. Calculate the remainder when 37 is divided by v.
17
Let r = -952 - -988. What is the remainder when 214 is divided by r?
34
Suppose -2*f - 186 = -3*d, f + f = 0. Suppose -3*a = 7 - 79. What is the remainder when d is divided by a?
14
Suppose 4*d - 72 = -4*y, 41 + 27 = 4*y + 3*d. Calculate the remainder when 108 is divided by y.
10
Let n = 65 - -206. What is the remainder when n is divided by 13?
11
Let i = -28 + 55. What is the remainder when i is divided by (-2)/9 + (-130)/(-18)?
6
Suppose -27*l = -189 - 0. Calculate the remainder when 31 is divided by l.
3
Let c = 58 + -50. What is the remainder when 215 is divided by c?
7
Let r(t) = t**3 + 7*t**2 - 10*t + 14. Let h be r(-8). What is the remainder when 21 is divided by ((-8)/10)/((-4)/h)?
3
Suppose 125*c - 122*c - 16 = -5*h, -4*h - 2*c = -12. Calculate the remainder when (3 + -2)*(2 - -9) is divided by h.
1
Let i be -10 + 102 + 2 + -1. Let o = -48 + i. Calculate the remainder when o is divided by (-2)/8 + (-147)/(-12).
9
Suppose 5*t = -15, -4*o - 2*t = -5*o + 111. Suppose -h + 2*y + 98 = 3*h, o = 4*h + 5*y. Calculate the remainder when 97 is divided by h.
22
Let h(x) = 3*x + 98. What is the remainder when h(49) is divided by 52?
37
Let a(g) = 3*g**2 - 149*g + 128. What is the remainder when a(50) is divided by 74?
30
Suppose 0 = -13*m + 15*m + 5*b - 14, -2*b + 7 = m. What is the remainder when 11 is divided by m?
4
Let x = 5 + 8. What is the remainder when 19*-1*-1*(14 - 10) is divided by x?
11
Let t = 2 + 32. What is the remainder when t is divided by (1 - 31)*(-7)/21?
4
Suppose 6*m - 4*m = n + 624, 3*n = 2*m - 628. What is the remainder when m is divided by 15?
11
Suppose -24*u = -2*h - 19*u + 120, -2*h = 3*u - 152. What is the remainder when h is divided by 39?
31
Suppose -18 = -3*g + p + 2*p, 22 = 2*g + 3*p. What is the remainder when g is divided by 1?
0
Suppose 3*p = 5*p + 64. Let d be -4 - p/(-2 - -6). Calculate the remainder when ((-69)/(-12))/1*d is divided by 5.
3
Suppose j = -6 + 3. Let c(g) = -5*g - 2. Let i be c(j). Suppose -8*k + i*k = 35. What is the remainder when 20 is divided by k?
6
Let n = 10 + 4. Let q = 15 - n. Suppose -6 - 3 = -3*h. Calculate the remainder when h is divided by q.
0
Let r(o) = -21*o + 4. Let s(g) = -11*g + 2. Let m(f) = 2*r(f) - 5*s(f). Let k be m(5). Suppose -2*u - k = -5*u. Calculate the remainder when 39 is divided by u.
18
Let i(x) = -2*x**3 + 20*x**2 - x + 38. What is the remainder when 111 is divided by i(10)?
27
What is the remainder when 88 is divided by (-76)/(-12)*(24 - 21)?
12
Suppose -3*i = -5*g - 51, 4*i + 8*g - 11*g = 90. What is the remainder when 145/3 + 6/9 is divided by i?
22
Let c = 1008 + -882. What is the remainder when c is divided by 19?
12
Let k(x) = 138*x - 525. Calculate the remainder when k(4) is divided by 2.
1
Let l be (-4)/(-10) - (-112)/20. Suppose -q = -3 - l. Calculate the remainder when 53 is divided by q.
8
Suppose -2*z + 4*i = -25 + 5, 3*z - 3*i - 24 = 0. Let y(o) = o**2 - 8*o + 15. Let f be y(z). What is the remainder when 49 is divided by ((-1)/f)/((-2)/150)?
24
What is the remainder when 9 is divided by (7 + -1)*(15/(-6))/(-5)?
0
Let m = -216 + 302. Let p(v) = -v**3 + 32*v**2 - 35*v + 142. What is the remainder when m is divided by p(31)?
14
Let w(h) = -h**2 - 16*h - 104. Let g be w(-15). Suppose j + 4 = -3. Calculate the remainder when (-4)/(-14) + g/j is divided by 7.
6
Let m(u) = -u**2 + 14*u + 6. Let y be m(10). Let w = y - 28. What is the remainder when w is divided by 12?
6
Suppose 2*t - 530 = -x, t - 4*x = -5*x + 267. Calculate the remainder when t is divided by 24.
23
Suppose 0 = 3*a - 29 - 112. Calculate the remainder when 516 is divided by a.
46
Suppose 0 = -8*z + 15*z - 7413. What is the remainder when z is divided by 118?
115
Suppose -5*d + 4*u = 4 - 5, 2*d + 2*u + 14 = 0. Calculate the remainder when 10 is divided by 3/(-9) - -3 - (-2)/d.
0
Let b(l) = -l**3 - 7*l**2 - 8*l - 7. Suppose -5*z - 12 = 18. Calculate the remainder when b(z) is divided by 3.
2
Let y(x) = -19*x + 12. Calculate the remainder when 118 is divided by y(-1).
25
Suppose -44*o + 40*o = -s + 62, 5*s = 3*o + 310. What is the remainder when s is divided by 54?
8
Let v(m) = -m**3 - m + 6. Let p be v(0). Suppose -4*l - 3*g = -42, 0 = -4*g + g + p. Calculate the remainder when l is divided by 3.
0
Let q = -7 - -11. Let n = 17 + q. Suppose 101 = 4*k + n. Calculate the remainder when k is divided by 7.
6
Let k(v) = -8*v - 4*v + 3*v. Calculate the remainder when (133/(-57) + 2*2)*21 is divided by k(-2).
17
Let n(f) = 17*f + 699. What is the remainder when n(-31) is divided by 6?
4
Let l(j) = -8*j - 4. Let b(c) = 9*c + 5. Let d(t) = -6*b(t) - 7*l(t). Let r be d(3). Suppose -r*u + 32 = -4. Calculate the remainder when 16 is divided by u.
7
Suppose 744 = 15*w - 321. What is the remainder when w is divided by 35?
1
Let j(g) = 5*g**2 + 3*g + 2. Let n be j(3). Let w = n - 49. What is the remainder when 26 is divided by w?
5
Let z(l) = -2*l**2 + 67*l + 11. Calculate the remainder when z(30) is divided by 5.
1
Suppose -1677 + 249 = -4*c. What is the remainder when c is divided by 20?
17
Suppose -20 = -6*c + c. Suppose -j = r + 4*r, -c*j + 3*r = 23. Calculate the remainder when 71 is divided by 3*(-4 - -3)*j.
11
Let v(f) = -3*f - 12. Let t be v(-9). Suppose -5*b - t + 65 = 0. Calculate the remainder when 59 is divided by b.
9
Let o = 27 + -8. Let n be (31/(-93))/(1/(-81)). Suppose -c = -n - o. What is the remainder when c is divided by 12?
10
Let r = -539 + 550. What is the remainder when 27 is divided by r?
5
Suppose 14*y + 374 = 1200. Calculate the remainder when y is divided by 11.
4
Suppose 7*f = 19 - 5. Let s = 4 - 2. What is the remainder when (f/3)/(6/27) is divided by s?
1
Suppose 29 + 41 = 5*o. Suppose 5*p - 2*n - 38 = 0, -p + 0*p - o = 5*n. Calculate the remainder when 22 is divided by p.
4
Let z(q) = q**2 - 34*q - 39. Calculate the remainder when 502 is divided by | {
"pile_set_name": "DM Mathematics"
} |
6 + 0.096. Which is the smallest value? (a) y (b) 5 (c) 0.4 (d) 0.1
a
Let s = -151/333 + 1/111. What is the third biggest value in s, 1/7, -1?
-1
Let w = -0.053 + -0.947. What is the second biggest value in -5, -1/4, w?
w
Let y = -7.6 - -5. Let i = -2.6 + -0.4. Let r = i - y. Which is the third biggest value? (a) r (b) -3 (c) -0.1
b
Let x = -0.04 + -2.96. Let w = 22.8 + -26. Let v = x - w. What is the second biggest value in 3, v, 0.3?
0.3
Let t = 0.07 - -3.93. Suppose 0 = -f + j, f + 5*j = -f + 28. Let c = f - 4. What is the smallest value in t, 4/3, c?
c
Suppose 6*m - 3*m = 0. Suppose m = 3*h - 3. Let k = 2 - 2.2. Which is the third smallest value? (a) k (b) -4 (c) h
c
Let y = 2 + -8. Which is the biggest value? (a) y (b) 4 (c) -1/3
b
Let n be 4 - (4 - 4)/5. Let q = -2 - -2.5. Let i = 2.5 - q. Which is the third biggest value? (a) i (b) n (c) -5
c
Let x = -7/6 - -3/2. Which is the third biggest value? (a) -2 (b) -0.3 (c) x
a
Let i be 64/12*1/(-4). Let v be (-30)/(-168) + 6/(-8). Which is the smallest value? (a) -1/7 (b) v (c) i
c
Let w = -0.032 + -0.068. What is the second smallest value in -1, -3, w?
-1
Let n(y) = y - 7. Let r be n(8). Suppose -r - 39 = -4*x. What is the smallest value in 0.2, x, -2?
-2
Let j(m) = 2*m + 7. Let t be 56/(-21) - (-1)/(-3). Let g be j(t). What is the second smallest value in g, -4, 2?
g
Suppose -d - 25 + 290 = 0. Let i = d - 1802/7. Let w = i - 781/105. Which is the smallest value? (a) 1 (b) w (c) 5
b
Let g = 0.34 - -0.16. Which is the third biggest value? (a) g (b) -3 (c) 6/7
b
Let u be 4/(-14) - 36/21. What is the third biggest value in 0.1, u, 1?
u
Let t = 0 + 15. Let h = -13 + t. Which is the third biggest value? (a) h (b) -1 (c) -3
c
Let t be 30/32*(-3 - -4). Let n = -21/16 + t. Which is the second biggest value? (a) -2/7 (b) n (c) -3
b
Let b = 0.29 + 0.01. Let s = -9/4 - -35/12. Let w = -2.4 + -1.6. What is the biggest value in b, s, w?
s
Let r = 8 + -11. Let y = -22 - -24. Which is the biggest value? (a) r (b) y (c) -1
b
Let h = 9.71 + -9.2. Let i = h - 0.11. Which is the third biggest value? (a) 3/4 (b) -0.3 (c) i
b
Let g = -11 + 10. What is the second smallest value in g, -1/3, 2?
-1/3
Suppose 0 = 2*t + 3*t + 5. Let w = 344/267 - -4/89. Which is the smallest value? (a) t (b) w (c) 3
a
Let x = 1/47 + -51/188. Let r = -12.4 + 12. What is the biggest value in x, r, -0.2?
-0.2
Let m(l) = -l + 1. Let c be m(0). Let k(v) = v**2 - 7*v + 7. Let o be k(6). Let d be 5/(-1*(o - 2)). What is the second smallest value in 1/10, c, d?
c
Let n = 2.7 + -2.71. What is the third smallest value in -5, 5, n?
5
Let w = -269/7 - -39. Which is the third smallest value? (a) -1/2 (b) w (c) -0.01
b
Let m = -10 + 18. Let s = 63 + -59. Which is the biggest value? (a) s (b) 3 (c) m
c
Let q = -30 + 16.1. Let y = 14 + q. Which is the third biggest value? (a) y (b) -0.1 (c) -2/9
c
Let r = 2 + 2. Which is the third smallest value? (a) r (b) 0.5 (c) 2/11
a
Let w = -0.18 - -0.38. Which is the smallest value? (a) w (b) 1 (c) 2 (d) -2/5
d
Let i be (30/4)/3*-2. Let o = -0.2 - -0.2. Let p = 1.2 - 3.2. Which is the second biggest value? (a) p (b) i (c) o
a
Let k = -9.4 + 13. Let c = k + -0.6. Let o = -3 + c. What is the third biggest value in -0.4, -5, o?
-5
Let r = -5 + 7. Let t = 2.1 - r. Let g = -40 - -202/5. Which is the second biggest value? (a) t (b) g (c) -0.2
a
Let q = 15 + -7. Let p = 139.7 - 148. Let f = q + p. Which is the second smallest value? (a) 2 (b) -4/7 (c) f
c
Let n = -188.05 + 188. Which is the third biggest value? (a) -1 (b) 2 (c) n
a
Let h = -62.9 + -1.1. Which is the second smallest value? (a) h (b) 3 (c) -1
c
Let m = -0.23 - -2.23. What is the second biggest value in m, 2/19, -4?
2/19
Let m = -31 + 20. What is the second biggest value in m, 4/3, -2?
-2
Let h = -1.7 - 0.3. Let n = h - -2.5. What is the second biggest value in -2/5, 2/17, n?
2/17
Let k = 0.2 + 0.3. Let o = 17 + -16.4. Let p = 3.6 - o. What is the third biggest value in k, p, 7?
k
Let y = -2.1 - -2. Suppose -2*l + 7*l - 140 = r, l = 3*r + 28. Let p = -306/11 + l. What is the second smallest value in 0, p, y?
0
Let t(g) = -g**2 + 5*g + 13. Let x be t(7). Let w = 2 - x. What is the biggest value in 1, w, -0.2?
w
Let l be 0 - 3*(-8)/(-84). Let m = 0.8 - 3.8. Which is the biggest value? (a) m (b) l (c) 0.3
c
Let r = -24 - -9. Let n = r + 16.2. Let v = n + -0.2. What is the smallest value in -1, v, 0?
-1
Let m = -18.5 + 1.5. Let j = m + 17. Let f = 2.05 - 0.05. Which is the second biggest value? (a) f (b) -1 (c) j
c
Suppose -2*r - y = -r - 4, 0 = -5*r + 4*y + 2. Suppose w = -r + 1. What is the third smallest value in w, -3/2, -3?
w
Let l = -3 + 3.2. Let s be ((-25)/(-60) + (-1)/6)*-1. Which is the smallest value? (a) s (b) l (c) 2/17
a
Let z be (20/8 - 3)*2 + -1. What is the smallest value in z, -7/10, 0?
z
Let d be (-2)/9 - (-80)/225. Suppose 6 = 4*h + 2. Which is the smallest value? (a) d (b) 0.2 (c) h
a
Let v = 0.02 - -0.58. Let x = 0.7 - v. Which is the smallest value? (a) -0.1 (b) -0.4 (c) x
b
Let r = 0.2 - -0.3. Let n = 2/615 - -3668/6765. What is the second smallest value in -0.2, n, r?
r
Let d = 0.13 + 0.12. Let g = -0.05 - d. Suppose 4*r = 3*n + 3*r - 17, 0 = -3*n + 4*r + 23. Which is the second smallest value? (a) g (b) n (c) -2
a
Let x = -18 + 13. Let n = -7 - -7.1. Which is the second biggest value? (a) x (b) 3 (c) n
c
Let x = 114 + -113. Let u = 0.1 - 0.1. Let m = 4 + u. What is the second biggest value in 0.1, x, m?
x
Let s = -2.5 + 2. Let r = -1.58 + 2.48. Which is the second biggest value? (a) r (b) -4 (c) s
c
Let k be 4/(-6) - 13/(-15). Let s(r) = -r**3 + r + 2. Let z be s(0). Let i be (-63)/(-14)*z/3. Which is the smallest value? (a) i (b) -3/7 (c) k
b
Let i = -3/2 - -19/10. What is the biggest value in 1/5, i, -2?
i
Let o = -40.9 + 37. Let p = o - -0.9. What is the third smallest value in p, 1/3, -0.5?
1/3
Let r = -6.9 - -10.9. What is the second smallest value in r, -0.5, 1/3, -0.1?
-0.1
Let t = 14.13 + -14. Let s = -5.13 + t. Which is the smallest value? (a) -3/4 (b) s (c) -4
b
Let b be (-3 + -2 + 2)/4. Let u = -15/2 + 29/4. Let p = -33 - -234/7. What is the third smallest value in b, u, p?
p
Let d = -1 - 0. Let i = -2.16 - 0.04. Let b = -0.2 - i. What is the biggest value in -1/2, b, d?
b
Let s = 10.8 - 5.8. Which is the third biggest value? (a) 0.5 (b) 9 (c) s
a
Suppose 5 - 6 = -f. Which is the smallest value? (a) -3 (b) f (c) 1/5
a
Let m(w) be the first derivative of w**2 - 3*w - 1. Let k be m(3). Which is the smallest value? (a) k (b) -4 (c) 4
b
Let w be -3*(-2)/3 - (-36)/(-19). Let a = -0.9 - -1. Let v = a - -0.1. What is the second smallest value in w, -0.1, v?
w
Let z be 8/(-21)*3/2. Let u = -0.22 - -0.1. Let f = u - -0.22. Which is the second biggest value? (a) 0.4 (b) f (c) z
b
Let u(w) = 2*w + 22. Let d be u(-13). Which is the biggest value? (a) 0.5 (b) d (c) -0.05
a
Let h be ((-6)/5)/(20/(-50)). Let l be ((-14)/4 - 1) + h. Let x = -1 + 1. Which is the biggest value? (a) x (b) l (c) -3/4
a
Let g be (-10)/(-3) - 1/3. Let p = -6 - -4. Let y = -3 + p. Which is the biggest value? (a) 0.2 (b) g (c) y
b
Let w be (-2)/(1 - -8 - 1). Which is the biggest value? (a) 4 (b) 0.02 (c) w
a
Let t be (-2)/(-11) - 20/(-11). Suppose t*a = -a. Suppose 4 = -2*o - a*o. What is the third biggest value in o, 5, 1/4?
o
Let k = 4.2 - 0.2. Let q = 4.1 - k. Which is the third biggest value? (a) 0 (b) 0.5 (c) q
a
Let x = 2 + -3. Let w = -27.5 + 27. What is the third smallest value in -3/2, x, w?
w
Let p = -27 - -32. Which is the third biggest value? (a) p (b) 0.3 (c) 0
c
Let p = 7.82 + -7.8. Let l = 3 - 6. Which is the second smallest value? (a) p (b) l (c) 1/2
a
Suppose 10*z - 12*z = -4. Which is the smallest value? (a) z (b) 1/5 (c) -0.3 (d) 9
c
Suppose -2*j = 2*z - 41 - 5, 0 = -5*j + 3*z + 131. Suppose -4*n - n = j. Which is the third biggest value? (a) n (b) -3 (c) 4
a
Suppose 0 = -4*k + k - 15. Let w = 0.063 - 0.563. What is the second smallest value in w, k, -1?
-1
Let v = -62 + 307/5. Which is the second smallest value? (a) 0.2 (b) 2/7 (c) v
a
Let w = 5 + -4.8. What is the second biggest value in w, -2 | {
"pile_set_name": "DM Mathematics"
} |
= 0, 4*t - 2 = -u*f - 14 for t.
-1
Suppose 2*k - 4*p = -4, 2*p = -3*k + 4*p + 2. Let q(f) = f**3 - 4*f**2 - 1. Let h be q(2). Let i = -7 - h. Solve 0 = 5*b + i*o - 25, k*o = -4*b + 3*o + 7 for b.
3
Let c(o) = o**3 - 12*o**2 + 13*o - 18. Let a be c(11). Solve -g - 4 = l, 2*l + l - a = g for l.
0
Let b = -62 + 92. Solve -5*r = 2*t + 17, 2*r + t + b = 6*t for r.
-5
Let w(n) = n**3 - n**2 + n. Let i be w(2). Let v = i - 11. Let h = v - -7. Solve h*q - 3*f + 6 = 3, 0 = q - 5*f + 12 for q.
3
Let a(b) = -4*b**3 - b**2 - 2*b - 1. Let o be a(-1). Suppose -22*s + 21*s = -1. Let m = o - s. Solve -r + 4*x = -m*r + 4, -3*r - 2*x - 2 = 0 for r.
-2
Let j(r) = r**3 - 2*r**2 + 2. Let a be j(2). Solve l = -a*g - l - 2, -4*l = 5*g for g.
4
Suppose -4*i + 2*t + 14 = -8, 4*t - 21 = -5*i. Suppose 0 = i*x - 12 - 3. Solve -4*n + 12 = 0, 4*n = -x*k + 2*n for k.
-2
Let p(f) be the first derivative of -f**2/2 + 6*f + 5. Let u be p(3). Solve 0 = -u*d + 4*c + 28, c + c = -2*d for d.
4
Suppose 2*p - 50 = 7*p. Let g = p - -12. Let i(z) = z**3 + z**2 + z + 3. Let f be i(0). Solve 4*x - l = 12, -g*x = l - f - 9 for x.
4
Let p = 1 + 1. Suppose -4*v = -p - 2. Let d be 6/(2*v/5). Solve 5*h - d = 0, 0 = -5*a - 3*h - 0*h + 9 for a.
0
Suppose -8 = -2*t, -3*t + 154 = 3*u + 25. Suppose 5*i - r - 24 - u = 0, -4*i - 3*r = -58. Solve -16 = -5*q + 4*k, -3*k + 0 - i = -4*q for q.
4
Suppose 0 = -7*x + 3*x. Suppose 0 = -l - 4*g + 2, -g + 4 = 2*l - x. Solve 0 = -4*r - l*k + 26, -5*r - 4*k = -k - 35 for r.
4
Let i(s) = s + 5. Let v(j) = 2*j + 3. Let z be v(3). Let o = z - 14. Let x be i(o). Solve t = k - 7, x*t + 2*k + 14 = -5*t for t.
-4
Let b = 106 - 106. Solve -2*c + 10 = 3*t, b*t + 2*t - 5 = -c for c.
5
Suppose -4*t + 23 - 7 = 0. Solve d + 4*b - 20 = -5, -t*b + 12 = 0 for d.
3
Let u(i) = i - 2. Let c be u(1). Suppose -5*t - 2 - 3 = 0. Let s = t - c. Solve -5*n - f - 24 = -s*f, -5*n - 8 = -3*f for n.
-4
Suppose 3*y + 2*w = -9, 2*w + 8 - 2 = 0. Suppose 0*c = 3*c - 12. Let v be ((-1)/y)/(2/c). Solve -6*r = 5*g - r, 0 = -5*g + v*r - 21 for g.
-3
Let v = 5 - 2. Suppose h + 17 = v*z, 0 = -5*z - 0*z - 4*h. Solve -z*p + 5 = a + 15, 5*a - 2*p - 16 = 0 for a.
2
Suppose -2*y + 68 = 4*c, 4*y - 4*c = c + 123. Let u = y - -9. Suppose 3*d - 7 = -2*o, 3*o = 5*d - o - u. Solve 0 = 3*l + 2*a - a - 9, 0 = -d*l + 5*a + 15 for l.
3
Let r be ((-24)/(-9)*-1 - -3)*12. Solve -16 = 2*a + 3*j, 5*a - 12 = -r*j - 45 for a.
-5
Suppose 4*y = 18 + 2. Suppose 5*a - 4*d - y = 6, a + 4*d = 7. Solve -a*m = 2*h - 16, 10 = 3*m + 2*m for h.
5
Let k be -6*4/(-2)*(-4)/(-16). Solve v - 9 = -4*g + 6, v = -k*g + 10 for v.
-5
Suppose 0 = 10*j - 5*j - 25. Solve -3*n - 19 = -2*a - 3*a, -3*n = j*a - 1 for n.
-3
Suppose p - 3*p = -18. Let r = -3 + p. Let g = 0 + 4. Solve -2*w = 2*y + r, -3 = -y - g*y + w for y.
0
Let r = -13 + 18. Suppose b = 4*m - 4, -r*m + m = -4*b - 4. Solve b = 5*g, -g + 8 = 2*x - 0*g for x.
4
Let u = 25 - 20. Let n be 2 - 0 - (16 + -2). Let a = n + 29. Solve a = 3*l + r, -l + u = 2*r - 9 for l.
4
Let k(t) = 2*t**2 + 37*t - 17. Let b be k(-19). Solve b*c - 3*u + 23 = 9, -c - 2*u = 0 for c.
-4
Let l = 34 + -34. Solve l = -2*c - 0*t + 5*t - 13, 2*c + 2*t = 8 for c.
1
Let t(a) = -a**2 - 3*a. Let c be t(-2). Let b = 9 + -5. Let d = b + -2. Solve -d*m + p + 3*p = 2, 0 = c*m + p + 7 for m.
-3
Suppose -4*f + 12 = -5*q, 2*f = 7*f - q - 36. Solve 2*w - 13 = -i, -5*w + 3*i = -f - 8 for w.
5
Let g(m) = -m**2 - 3*m + 14. Let s be g(-5). Solve 2*y + s*z = -2*y, -5*y + 3*z + 24 = 0 for y.
3
Suppose 0*s + 4*s = 0. Suppose -4*b - 8 + 28 = s. Solve 4*z + 3*c = b - 19, 0 = -5*z - 2*c - 14 for z.
-2
Suppose 0 = 4*y + 4 + 4, 4*y = 4*l - 48. Let n = -9 + l. Solve 2*k + n = 3*m + 2, 2*m = -4*k + 10 for m.
1
Let m(z) = -z + 2. Let h = -5 - -3. Let l be m(h). Suppose -5*d - 3*y + 14 - l = 0, -d + 2 = 3*y. Solve d*f - 3*q = 11, -q + 3 - 1 = 5*f for f.
1
Let w(x) = -16*x. Let g = 2 - 3. Let l be w(g). Solve b - 2*v - l = 3*b, 12 = -3*v for b.
-4
Let t(b) = -b + 8. Suppose j - 3*j = 14. Let q be t(j). Let f(p) = p**2 - 4*p. Let w be f(4). Solve x = -2*x - q, -n + x = w for n.
-5
Suppose 2*o - 6 + 4 = -2*s, -4*o - 8 = 0. Solve -s*p = r + 4, -6 + 4 = -r for p.
-2
Let y be (-23)/(-3) + (-1)/(-3). Suppose 5*d - y = d. Let c be 0/(5/((-5)/(-2))). Solve -3*r + 4 = -d*n - c*n, -n = -5*r - 5 for n.
-5
Let x(v) = v**3 - 8*v**2 - 9*v + 2. Suppose 4*t = y + 3*y - 28, 0 = -4*y - 3*t + 42. Let f be x(y). Solve 0 = -f*h - 0*o + 3*o - 4, 6 = -3*h - 4*o for h.
-2
Let d be (-2)/(-8) - 14/(-8). Let c(m) = m**3 - m**2 - 1. Let j be c(d). Solve j*v = 2*p, -4*p - 4*v = -7*v for p.
0
Let k be 4*(12/16)/1. Solve 2*f = -4*d, -2*d + f + 20 = -k*f for d.
2
Let k(d) = -5*d**3 + d. Let z be k(-1). Let i = z + -8. Let y be (-6)/i*132/9. Solve -2*q + 23 = 5*u, 0 = q + 3*q + 2*u - y for q.
4
Let l be (0 + 2)/(-1) - -6. Let o(a) = 2*a - 2. Let g be o(4). Suppose 3*n + 2*y = -2 + 6, 0 = -n + 3*y - 6. Solve -v + n*v = 2*p, l*v = -2*p + g for p.
-1
Let q = -8 - -10. Solve -5*m + 6 = -q*b - 8, -b = 2*m - 2 for m.
2
Let m be 2*3/(-6)*-2. Suppose b + m*b = 0. Solve -2*l - o - 5 = b, -2*l = 3*l - 2*o + 17 for l.
-3
Let a(f) = f**2 - 5*f + 7. Let b be (1 - (-24)/(-9))*-3. Let k be a(b). Solve -h - 3*t + 0 = 2, h = 2*t - k for h.
-5
Let j(u) be the third derivative of -u**4/24 + 11*u**3/6 - u**2. Let z be j(8). Solve z*p - 4*x - 10 = 0, -x - 6 = -3*p + 2*x for p.
-2
Let b = 10 - 8. Suppose 3*r - 36 = -2*r - k, 0 = b*r - 3*k - 11. Solve -8 = -x - 3*d, 0 = r*x - 3*x - 4*d + 16 for x.
-1
Suppose i - 20 = -4*i, -5*x + 26 = -i. Let m = x - 2. Solve m*b = -0*p + 3*p, -3*p + 3*b = 0 for p.
0
Suppose -12 = -4*g + 4. Suppose -b = g*b - 20. Solve 0 = 5*f - 2*x + 6, b*f - 3*x + 4*x + 10 = 0 for f.
-2
Let m = -62 + 102. Suppose 0 = -3*o + 5 + m. Solve -5*w = -4*z + 33, 5*z - o = 4*w - 3*w for w.
-5
Let s = -5 - -3. Let x be (-3)/6*s*2. Suppose -x*d = -0 - 8. Solve -5*b - 2*z - 7 = 0, -2 = 5*b + d*z + 7 for b.
-1
Let o(c) = -c**2 + 3*c + 6. Let k be o(4). Solve -4*n + 5*g + 4 = 21, 0 = -k*n - 4*g - 2 for n.
-3
Let l = 3 - -1. Suppose -2*k - 5 = q, 8*k = l*k - 16. Solve -n = q*d + 12, -5*d + 4*n = 5 + 15 for d.
-4
Suppose 5*u = 2*z - 10, -4*u + 2*z - 4*z = -10. Solve -2*i - i - 6 = 0, u = 2*c + 3*i + 10 for c.
-2
Suppose -1 = -5*j + 14. Let l = 2 - j. Let x be 0/((1 - l) + -3). Solve x = 4*f - 12, 5*s - 33 + 14 = -3*f for s.
2
Let l = -42 - -30. Let w be ((-3)/l)/1*4. Suppose 0 = -2*x + 7 - w. Solve 3*q = 5*q + z + 4, x*z + 6 = 0 for q.
-1
Let o(b) = b - 15. Let l be o(17). Solve -4*i - 4*w + w - 32 = 0, -5*i = l*w + 33 for i.
-5
Suppose -3*r + 7*g - 2*g = 19, g + 3 = 4*r. Suppose -r*b = 4*k - 16, -6*b = 3*k - b - 5. Solve k*j + 5 = 5*v, -2*j = 5*v - 6*j for v.
-4
Suppose -15 = -12*n + 9*n. Solve t = n*t - p + 17, -3*t = -2*p + 9 for t.
-5
Suppose -2*p + d - 6*d = -14, -p - 4 = -3*d. Solve 5*m + 10 = -p*a - 1, m = -a - 4 for m.
-1
Suppose -12*u + 39 = 15. Solve 3*w + m - 17 = 0, 0 = -5*w + 7*m - u*m - 5 for w.
4
Suppose 5*g = -0*g + 120. Let k = g + -22. Solve -2*x + 2 = 2*m, -3*m - 5*x + x = -k for m.
2
Suppose 1 + 4 = d. Suppose -d*u + 2*u = -24. Let q(r) = -2*r + 1. Let v be q(-1). Solve u = -5*p + 4*y, 0 = v*p - 0*y + 3*y - 6 for p.
0
Let d(x) = -x**2 - 7*x. Let t be d(-7). Let o = -1 + 4. Suppose 3*g - o = 3. Solve -p = -0*p, 5*q - g*p - 25 = t for q.
5
Let k be (12/5)/((-12)/(-90)). Let d = k - 11. Solve 4*x = -d*i + 2*i - 23, 3*x = 5*i + 9 for i.
-3
Let k(t) = -t**2 + 8*t + 3. Let p be k(8). Let j be 2/(-1)*(-6)/4. Suppose -j*n + 8 - 2 = 0. Solve -p*i = -4*w - 10, n*w = -5*i - w - 22 for i.
-2
Let v(o) = 4*o**3 - o. Let k be v(1). Suppose -48*g = -34*g - 28. Solve -k*u - 5*i + 3 = -g*i, -i = 1 for u.
2
Let l be 16/40 - ((-54)/15 + 2). Let y be (-1)/1*(1 + -16). Solve -2*m - l*n = -m - y, 20 = 4*n for m.
5
Let n(i) = i**2 - 7*i - 13. Let h be n(9). Solve 5*l + h*k = 25, -2*k + k = -1 for l.
4
Suppose -2*k + 3*y = -7, 4*k = -0*y + y + 19. Solve -k*n + 25 = -5*t, 4*n - 4*t + 10 = 6*n for n.
5
Let x(i) be the third derivative of -i**5/60 + 7*i**4/24 + 3*i**3/2 + 3*i**2. Let o be x(7). Solve -z + 2*c = -o, 4*z = 4*c - 2*c + 12 for z.
1
Let b(j) = -3*j - 47. Let t be b(-17). Solve t*w = r - 2*r + 1, -4 = -5*w - 4*r for w.
0
Let k(v) = -v**3 + 6*v**2 + 6*v + 7. Let o be k(7). Let h = -19 + | {
"pile_set_name": "DM Mathematics"
} |
636.
-1661.636
Work out 61577583 - 10.
61577573
What is 318567 plus 39?
318606
What is the difference between 0.1 and 10735645481?
10735645480.9
What is the difference between -171 and -911492.66?
911321.66
20503+1.751
20504.751
Work out 19.2 - -1.01568268.
20.21568268
Put together 3913584 and -100.
3913484
Sum 875.36286 and 31.
906.36286
Work out 1.6262 + -5874.
-5872.3738
What is -5 minus -0.10668859956?
-4.89331140044
-3501678.08 + 1.26
-3501676.82
What is 251490 minus -204?
251694
Work out 5 + 49066175.
49066180
Sum 16540 and -487.
16053
Subtract 908 from -0.6.
-908.6
Sum 16.6 and 48305133.
48305149.6
Put together 30194.19 and 161.
30355.19
Work out 0.5 - -1496814777.
1496814777.5
What is 549912 less than 43.221?
-549868.779
Work out -1.75 + 5913786.
5913784.25
-2099.807+-37793
-39892.807
-2829+-14954.721
-17783.721
What is the difference between 2.8 and -0.064013517?
2.864013517
-28524 - 0.0174
-28524.0174
What is -7052072 - 0.32?
-7052072.32
Sum -0.7 and 0.5928945.
-0.1071055
Total of 147012 and 1.82.
147013.82
What is the distance between -2318764 and -13.9?
2318750.1
What is 19952 take away -527?
20479
Work out -33462 + 120.
-33342
Add together -1.66 and 31194.
31192.34
What is the distance between 0.0193 and -5.1885301?
5.2078301
Calculate -1.088 - 978.
-979.088
What is -133257 minus 0.3499?
-133257.3499
Put together -7.657275 and -8.23.
-15.887275
0.05 + -1461487557
-1461487556.95
What is the distance between -2 and 2670268651?
2670268653
Add together -2.2238410026 and 2.
-0.2238410026
What is 0.2 + 198560?
198560.2
Work out -231.19 + 181.
-50.19
35.2 + 6423285
6423320.2
What is 0.32072 less than 9.998?
9.67728
Calculate -18 + 13052713.07.
13052695.07
What is -457.8966 - 3733?
-4190.8966
What is -1.36855 - -0.74?
-0.62855
What is 2773479 less than 1654?
-2771825
What is the difference between -16897 and 2.88022?
16899.88022
What is -1.67925031 minus 4?
-5.67925031
What is the difference between 0.336 and -674361?
674361.336
Put together 0.04120236 and -5.
-4.95879764
What is -6.10028 take away 68129?
-68135.10028
What is -404838118 - -9?
-404838109
Work out -4 - 13.58079399.
-17.58079399
What is -12159.8 - -0.78?
-12159.02
Calculate -3 - -6059760206.
6059760203
Put together -22 and -5484784493.
-5484784515
What is 43939 less than -216119?
-260058
Subtract -44927 from 13.019.
44940.019
Calculate -255568626748 + -2.
-255568626750
4.08899 - -14
18.08899
Sum -1648 and -4831206.
-4832854
Sum -147.0968 and 4.
-143.0968
Put together 0.6 and 6357731329.
6357731329.6
What is -1860127 + -159?
-1860286
Add together -23045363 and -0.1.
-23045363.1
Calculate 0 - -2.103892025.
2.103892025
What is 11 less than 0.13188146?
-10.86811854
Add 17515 and 6433.
23948
Calculate -2885.9 - 40897.
-43782.9
Calculate 27510061 - -5.
27510066
956 + 15219.63
16175.63
What is -23403.63 minus 5517?
-28920.63
What is 0.289143325 less than -0.9?
-1.189143325
-0.357 - -5307.4
5307.043
What is -5763849568 - -3?
-5763849565
What is 0.3 + 12197.7444?
12198.0444
What is -0.4 - 206516024?
-206516024.4
Add -44637.5 and 29319.3.
-15318.2
Sum 1466021 and -163.
1465858
Add together 78974483 and -0.1.
78974482.9
Subtract 2 from 16.1698987.
14.1698987
What is the distance between -153451.4 and -191?
153260.4
What is -5917465 less than 0.05?
5917465.05
Work out 0.05 + -487.51831.
-487.46831
What is the difference between 2811 and -3323?
6134
What is 2 minus 1.711312124?
0.288687876
Add -13 and 51368774.
51368761
Sum -4 and 480322.3.
480318.3
Calculate 2.94 + -12428.9583.
-12426.0183
What is -0.955 plus -49922?
-49922.955
What is -230.8 less than -6871?
-6640.2
What is the difference between 4 and -39.168068?
43.168068
Subtract 2.43 from 2143.31.
2140.88
What is 4 - 672.79395?
-668.79395
What is the distance between -361.91869 and 0.01?
361.92869
What is -235306 plus 15015.7?
-220290.3
Subtract 0.3 from 247136484.1.
247136483.8
0.2 + -92.407835
-92.207835
Subtract 1514 from 32109.
30595
What is the difference between 0.4 and -95313.764?
95314.164
What is 7334313449 less than 0.2?
-7334313448.8
What is the difference between -4.5093 and -1?
3.5093
34557.344+4
34561.344
341.6 + -1041
-699.4
Add together -0.0270031 and -152.
-152.0270031
Calculate 2056 + 17223320.
17225376
What is -6.75441577 take away -4?
-2.75441577
What is 2272621 less than 7411?
-2265210
What is -6083.64 take away 3572?
-9655.64
What is 13076545 - 7.3?
13076537.7
What is 1222 less than 0.01639215?
-1221.98360785
What is -639027 minus -0.35?
-639026.65
Calculate -4 + 54778695.
54778691
Add together -86609.7 and -0.6.
-86610.3
Total of -2846717.162 and -4.
-2846721.162
Work out -0.231 - 79381.
-79381.231
What is 502 - -85064.489?
85566.489
Add -166109 and 3549.
-162560
Add together 132 and -47150.
-47018
Add together 0.6423349 and 25.2.
25.8423349
Total of -0.5836669 and -1789.
-1789.5836669
-506948162 + 0.5
-506948161.5
Subtract -10984 from -99318.
-88334
Work out -376 - -311211.
310835
What is -45 + -0.780584?
-45.780584
Total of -0.5 and -2926291342.
-2926291342.5
37639085 - -0.7
37639085.7
Work out 1.51608 - -119.926.
121.44208
Calculate 1893770 + 0.1.
1893770.1
-88.363 + -1.228
-89.591
2.65+-5.3069
-2.6569
Subtract -15.56862 from -0.3.
15.26862
What is the distance between -450 and -8896?
8446
Calculate 1753 - 4837.
-3084
1489.2+-34.582
1454.618
What is -1.277 - 145242?
-145243.277
Add together -290 and -0.299485.
-290.299485
Sum -15.55561714 and 0.03.
-15.52561714
Calculate -0.7953694 - 526.
-526.7953694
What is 13 - -417703?
417716
-0.0096689316+-11
-11.0096689316
What is -0.4402 minus 0.2019?
-0.6421
What is 3 + 38.9041?
41.9041
What is 0.2 less than -129158.4454?
-129158.6454
What is 5151520921 plus 0.4?
5151520921.4
What is the distance between -0.67 and -44.39992?
43.72992
7782 + -0.1153
7781.8847
What is -3004133261 minus -0.4?
-3004133260.6
Work out -619.52 + -960.
-1579.52
What is -5 - -2931428364?
2931428359
Add together 4.21 and -62974069.
-62974064.79
What is 23.46 minus -14807?
14830.46
What is -1372.4778205 minus 0.2?
-1372.6778205
What is -2.61 minus -1079441?
1079438.39
Work out -4.5 - -122085988.
122085983.5
Add together 29 and 460547.1.
460576.1
Work out -68560031 - 0.2.
-68560031.2
What is -3230928 - 7.9?
-3230935.9
-22821306 - 9.5
-22821315.5
What is 5 - -33715561?
33715566
What is -316435619 + -4.6?
-316435623.6
What is -2373232 take away 0.0773?
-2373232.0773
Work out 14622 - 17.
14605
Add 4.3 and 560.3761.
564.6761
Work out 5 - -294.5080117.
299.5080117
Add together 4 and 2696153556.
2696153560
What is 0.6 take away 1.713761?
-1.113761
Work out -16032.48 - -188.
-15844.48
What is 54.6 minus 860599?
-860544.4
0.0816782733 - 2
-1.9183217267
What is -0.07 minus -2511758?
2511757.93
What is the distance between -217 and 49396?
49613
What is -2500395 + -0.232?
-2500395.232
What is 507 - -36.58?
543.58
Calculate 434470885 - 3.2.
434470881.8
What is 0.06977 minus -169?
169.06977
Add together -4863.265 and 39.
-4824.265
Sum 0.26 and -4194595.
-4194594.74
Add -36.14363 and -3212.
-3248.14363
Subtract -5942079173 from 0.1.
5942079173.1
Calculate -64.434242 - -0.3.
-64.134242
Put together 3 and -40268056.
-40268053
What is 12.2 take away -722082?
722094.2
Calculate -1.271 + -545165.1.
-545166.371
0.14 - 325955456
-325955455.86
What is 5.87165 less than 0.0441?
-5.82755
What is the distance between 38.0905 and -6798?
6836.0905
51385.31+-207
51178.31
What is -9373118431 + -5?
-9373118436
What is -26 take away -2.259350298?
-23.740649702
Add together 7.9309206 and 1846.
1853.9309206
Put together -4602 and -0.675.
-4602.675
Subtract -405495.46 from -20.
405475.46
Work out 0.0432 - -13635.
13635.0432
What is -5 + 116277622?
116277617
What is -38669 + 1440496?
1401827
Total of 1.163 and 124327.
124328.163
Total of -0.2 and 17697433.1.
17697432.9
Add together 0.2 and -186746121.3.
-186746121.1
What is 74 + -27546361?
-27546287
What is -31876 minus 1909?
-33785
-884450 - -221165
-663285
What is -20439.56 + -38?
-20477.56
Add together 0.503 and 0.3184562.
0.8214562
4146 - -1988
6134
What is 2.916 minus 4895349?
-4895346.084
Calculate -0.4 + -6124.663.
-6125.063
0.018+-0.380824
-0.362824
Subtract -3775 from -0.0731702.
3774.9268298
What is 0.379 plus -11.521?
-11.142
What is -76 less than 1193645.275?
1 | {
"pile_set_name": "DM Mathematics"
} |
uppose z*h = 10*h + 28. What is the greatest common factor of h and 2?
2
Let x be (-2)/(0 + 1) + 2. Suppose 4*j - t - 18 = x, -j - 3*j = 4*t - 8. Let u be (-5 + (j - 0))*-26. What is the greatest common divisor of 52 and u?
26
Let h be ((-48)/18)/((-15)/(196425/26208) - -2). What is the highest common divisor of 220 and h?
20
Let s = -210 - -1564. Suppose 122 = -8*j + s. What is the greatest common factor of j and 70?
14
Suppose 4*o + 240 = -3*n, 316 = -4*n - o - 4. Let l be (6 + -1)*-8*2/n. Calculate the highest common divisor of 67 and l.
1
Let f(a) = 135*a**3 - 2*a**2 + 31*a - 101. Let r be f(3). Calculate the highest common factor of 154 and r.
77
Let u = 294 + -262. Let t = -661 + 1173. What is the greatest common divisor of t and u?
32
Let n(j) = -j**3 + 13*j**2 - 2*j - 18. Let q be n(12). Let s = 118 - q. Calculate the highest common factor of s and 256.
16
Let x(r) = -r**2 + 3*r + 2. Let n be x(-4). Let l be (-15)/18*n*3. Let m = -189654 - -189659. Calculate the highest common divisor of l and m.
5
Let b be (12/18)/((-3)/((-2187)/6)). Let k = b - 74. Let p be (1 + k)*2*2. What is the highest common divisor of p and 16?
16
Let l = 6 + 145. Suppose -116 = l*k - 152*k. Suppose 4*b + 8 + 153 = 5*x, b = 3*x - 91. Calculate the highest common divisor of x and k.
29
Suppose 309*b + 28408 = 379*b - 27452. Calculate the highest common divisor of b and 18.
6
Let q(r) = 9*r - 11. Let z be 22/(-33) + 35/3. Let y be q(z). Suppose 3*v - 12 = 0, 3*h - v = v + 25. What is the greatest common divisor of h and y?
11
Suppose -39 = -3*z - 0. Let m be 63/z + 30/195. Calculate the highest common factor of 5 and m.
5
Let v be (-357)/(-3)*(2 - 1). Suppose -2*s + 29 = -v. Let k(a) = a**2 - 3332*a + 185. Let n be k(0). What is the greatest common divisor of n and s?
37
Let q(x) = 2*x**3 - 17*x**2 - 19*x + 6. Let b be q(9). Let n = b + 87. Calculate the highest common factor of n and 6.
3
Let c = 14112 - 13464. Calculate the greatest common factor of 504 and c.
72
Suppose -53*v + 9*v + 8448 = 0. What is the greatest common factor of 3 and v?
3
Let c(h) = -h**3 - 1. Let x(v) = -11*v**2 - 5*v + 13. Let o(r) = -2*c(r) + x(r). Let g be o(6). Let y = -6 + g. What is the highest common factor of y and 5?
5
Let o = 13807 - 13755. Calculate the greatest common factor of 5356 and o.
52
Let s be (-11)/((-44)/(-24)) - -162. Let x = -144 + s. Calculate the highest common factor of x and 132.
12
Let w(m) = -m**3 + 22*m**2 - 20*m - 20. Let h be w(21). Let q be 3*(4 - (-3 + h)). Calculate the highest common divisor of q and 342.
18
Suppose -22167 = 1156*y - 343*y - 77451. Suppose o + 464 = 2*m - 3*o, -3*o - 1181 = -5*m. Calculate the greatest common divisor of y and m.
34
Let u(r) = -434*r - 1178. Let h be u(-4). Calculate the highest common divisor of 9 and h.
9
Suppose 0 = 3*y - 3*s + 648, -4*y - 867 = -5*s - 0*s. Let p = y + 218. What is the highest common factor of p and 25?
5
Suppose -2*p + 4*i = -7*p + 423, 0 = p + 4*i - 75. Let m be p/(-58) + ((-365)/(-2) - -1). What is the highest common factor of m and 42?
14
Suppose 45 + 0 = 3*f. Suppose 1 = -h, -2*a + 5*h = 3*a + f. Let d be (29/a)/((-19)/532). What is the highest common factor of d and 29?
29
Suppose 0 = 185*j + 85*j - 55890. Calculate the greatest common divisor of 92 and j.
23
Let w be (-2)/(-3)*1376/430*(-90)/(-4). What is the greatest common factor of 128 and w?
16
Suppose -3*m - 3*q = -13311, 86*q - 91*q - 17712 = -4*m. What is the highest common factor of 62 and m?
31
Suppose -8 = -6*j - 2. Suppose 5*b + 17 = -4*q, -4*b + 2 = -2*q - 0. Let r be j*2/(-6)*b*48. What is the greatest common divisor of r and 2?
2
Let t = 36682 - 36676. Calculate the greatest common divisor of 26748 and t.
6
Suppose 9*s = 5*n + 13*s - 85, 4*n - 68 = 5*s. Suppose n = y - 1. Suppose 4*w = y*w - 364. What is the highest common factor of 78 and w?
26
Suppose 918 = 14*m - 5*m. Suppose 0 = 2*u - v - 7, 0 = v - 0 - 5. What is the highest common factor of u and m?
6
Let p(s) = 4*s**3 - 220*s**2 + 56*s - 168. Let a be p(55). What is the greatest common factor of a and 1638?
182
Let b(w) = 3*w**2 + 26*w - 4. Let p be b(-9). Suppose -5*f = -2*o + 103, 6*o - p*f = 5*o + 64. Calculate the highest common divisor of o and 6.
3
Let p(r) = -5 + 17 - 3*r**3 + 4*r**3 - 6*r**2 + 2*r. Let n be p(5). Let l be 1*13 + 2 + n. Calculate the highest common factor of l and 12.
12
Suppose 16290 = 35*n - 25*n. Calculate the greatest common factor of n and 181.
181
Let r(n) = 523*n - 1389. Let y be r(4). Calculate the highest common factor of 3034 and y.
37
Let b be 115 + 170 - ((-10)/4)/(18/36). Suppose -10 = -0*j - j. What is the highest common divisor of b and j?
10
Let g = -13 - -35. Let f be ((-2)/(-16))/(139/48928). What is the greatest common divisor of g and f?
22
Suppose 325*n - 3322870 = -2635441 + 3323071. Calculate the greatest common divisor of 20 and n.
20
Let v(r) = -17*r - 11. Let d(k) = k - 6 - 7 + 2. Let z be d(4). Let x be v(z). Calculate the greatest common factor of x and 12.
12
Let z = 284 + -25. Suppose -7 + z = 14*p. Calculate the greatest common factor of 66 and p.
6
Suppose -41 = -3*i - h, -5*i + 65 = 2*h - 5. Calculate the greatest common factor of i and 948.
12
Let q = -250 - -1294. Suppose -4*m + 2*t + q = -176, -5*m = t - 1518. Calculate the greatest common divisor of 16 and m.
16
Let q = 127 + -109. Let a be -10 + 654/q - 2/6. Calculate the greatest common factor of a and 221.
13
Suppose 4*h + 4*m - 1456 = 0, -4*m - 102 = -2*h + 626. What is the highest common divisor of 39 and h?
13
Let u be 3/(-3 - 15/(-4)). Let m(g) = 85*g + 8. Let y be m(u). Calculate the greatest common divisor of 12 and y.
12
Let d be (-170451)/6*(-1 + (-12)/(-36)). Calculate the highest common factor of d and 118.
59
Suppose -731 + 6662 = -9*g. Let f = 1028 + g. Let m(u) = -31*u - 176. Let d be m(-7). What is the greatest common factor of f and d?
41
Suppose -1360 + 1364 = -j - 5*v, 5*j - 100 = -5*v. Suppose -40 = -4*d + 3*n, -2*n = -2*d + d + 5. Calculate the greatest common divisor of j and d.
13
Let w = 124 - 72. Let o = 252 + -248. What is the greatest common factor of w and o?
4
Let f(t) = -5*t**2 - 59*t + 142. Let z be f(-12). Calculate the highest common divisor of z and 3055.
65
Suppose 28*j - 6390 + 1350 = 0. Calculate the greatest common factor of j and 756.
36
Let w(m) be the second derivative of -m**3/3 + 9*m**2 + 12*m. Let t be w(9). Suppose 300 = -t*v + 3*v. Calculate the greatest common factor of v and 25.
25
Suppose 21*u - 24*u = 5*p - 88, -3*p = -6. Calculate the highest common divisor of u and 11947.
13
Suppose -27*l = -5*q - 29*l + 4, 2*q - 5*l - 19 = 0. Suppose -4*x - 51 + 183 = n, q*x - 132 = -n. What is the greatest common factor of 352 and n?
44
Let b = -16 + 36. Suppose -b = -3*o - 14. Let q be -1 + o + 27 + 2 + -3. What is the greatest common factor of 36 and q?
9
Suppose -2*u = 16*h - 15*h - 320, 0 = 3*h - 12. Suppose 4*q - u + 114 = 0. Suppose -3*d + 12 = -21. What is the greatest common factor of q and d?
11
Let d = -37243 - -69872. Calculate the highest common divisor of d and 67.
67
Suppose t - 2*t = 3*d - 4, 3*t + 24 = 3*d. Suppose 4*q + 4 = 2*v + 16, d*v = 5*q - 13. Suppose -42 = v*k - 130. What is the highest common divisor of k and 198?
22
Let b(t) = -t**3 + 6*t**2 - 4*t + 43. Let f be b(6). Suppose -f*z + 28 = -314. What is the highest common factor of 486 and z?
18
Let f(l) = -2*l**3 + 21*l**2 - 10*l + 51. Let u be f(10). Let t = 104 - u. What is the highest common factor of 53 and t?
53
Let y be (0 + (-264)/18)/((-14)/231). Let d be 6/(-33) - (-1162)/(-22). Let t = y + d. What is the greatest common divisor of t and 27?
27
Let c = 11821 + -11745. What is the greatest common factor of 32 and c?
4
Let f = -23270 - -23334. What is the greatest common factor of f and 8800?
32
Suppose 369 = 10*i - 71. Suppose -r - i = -3*z, 5*z + 9*r - 96 = 5*r. Calculate the greatest common factor of z and 56.
8
Suppose -70*v = 501*v - 367724. Calculate the highest common factor of 1792 and v.
28
Let n be 1009 - (1/(-6) - 136/48). Calculate the highest common divisor of 396 and n.
44
Suppose 127*c - 15*c = 1792. Calculate the highest common factor of c and 94.
2
Let n(d) = 48 - 250 + d**2 - 17*d - 20 + d**2. Let f be n(-17). What is the | {
"pile_set_name": "DM Mathematics"
} |
7) is divided by f.
4
Let v(w) = -w**3 + 6 - 5*w**2 + 2*w**2 + 4*w + w**2. Let m be ((-2)/(-1))/(8/(-20)). What is the remainder when v(m) is divided by 21?
19
Suppose 0*v + v = 0. Suppose v = 3*b - b - 16. Let o(q) = q**2 + 2*q - 1. Calculate the remainder when o(4) is divided by b.
7
Let z(v) = -v**3 - 8*v**2 - 5*v - 3. Let s be z(-7). Let q = -4 - s. What is the remainder when 36 is divided by q?
10
Let g = -13 + 22. Let m be (-80)/(-36) - 2/g. Suppose 7*s - m*i - 76 = 3*s, 0 = 3*s + 5*i - 31. Calculate the remainder when s is divided by 9.
8
Let a = -8 + 19. Calculate the remainder when 19 is divided by a.
8
Let v(s) = 16*s**2 - s - 2. Calculate the remainder when 88 is divided by v(-1).
13
Let s = -54 + 81. Calculate the remainder when s is divided by 12.
3
Suppose 3*m + 4 = 13. Let x(b) = 3*b**2 - b. Let z be x(-1). Suppose 3*q = -m*o + 75, 7 + 5 = z*q. Calculate the remainder when o is divided by 8.
6
Let k be (-501)/(-15) + 6/10. Let l = -21 + k. Calculate the remainder when 23 is divided by l.
10
Suppose 4*b - 5*w - 155 - 1 = 0, w = b - 38. Calculate the remainder when 127 is divided by b.
25
Let o be (-2)/(-4) + (-1053)/(-6). Let x = o - 123. Let f = 23 - 9. What is the remainder when x is divided by f?
11
Suppose x + 3*u + 19 = -2*u, -21 = -5*x + 4*u. What is the remainder when 19 is divided by (-21)/15*(-5)/x?
5
What is the remainder when 62 is divided by (-111)/(-9) + (-4)/(-6)?
10
Suppose 0*d + 59 = x - 3*d, x + 3*d = 71. Let n be (-2)/(-7) - x/7. Let q = 21 + n. What is the remainder when 34 is divided by q?
10
Let f = 14 + -7. What is the remainder when 38 is divided by f?
3
Suppose 2*h - h = 4, -5*u - 2*h = -3. Let w(n) = -20*n**2 - 1 + 9*n**2 - n + 13*n**2. What is the remainder when 5 is divided by w(u)?
1
Let r = 0 + 3. Suppose r*k - 101 - 7 = 0. Let m = 1966 + -1947. Calculate the remainder when k is divided by m.
17
Suppose 2*t - 53 = 25. Calculate the remainder when t is divided by 20.
19
Let z(s) = -s**2 - 14*s + 27. What is the remainder when z(-12) is divided by 15?
6
Let d(c) = c**2 + 4*c + 1. Let m(b) = b**3 + 8*b**2 - 9*b + 7. Let k be m(-9). Suppose k = -2*r - 1. Calculate the remainder when 2 is divided by d(r).
0
Let x be ((-8)/6)/4*-69. Let z = 34 - x. Suppose -z = -2*w + 5*a, 3*a - 1 = -4*w + 8. Calculate the remainder when 11 is divided by w.
2
Let k be 1/(3/(-6)) + 3. Calculate the remainder when 1*((-12)/(-2) - 1) is divided by (0 + 1)*(k - -1).
1
Suppose -3*o - 4*q + 9*q = -92, -o - 5*q + 64 = 0. What is the remainder when o is divided by 21?
18
Suppose 0 = -6*v + 123 - 9. What is the remainder when v is divided by 5?
4
Let i be (-10)/(-40) + (-14)/(-8). Suppose -5*z = -7*z + i. Let b(r) = r**3 + 5*r**2 - 5*r + 7. Calculate the remainder when z is divided by b(-6).
0
Let u = -19 + 41. What is the remainder when u is divided by 12?
10
Let i = -35 - -81. Let q = 7 + -5. Suppose 3*x - 5 - 15 = -4*c, 4*c + 40 = q*x. What is the remainder when i is divided by x?
10
Let y(w) = 8 - w**2 + 5*w + 7*w - 2*w - 3*w. What is the remainder when 22 is divided by y(7)?
6
Suppose 3*w + 5 = -16. Let v = w + 13. Let r = 74 - 70. What is the remainder when v is divided by r?
2
Let n(w) = 1 - 4 + 2*w + 0. Let d(c) = 4*c - 2. What is the remainder when d(4) is divided by n(4)?
4
Suppose 3*v - 83 = 88. Let z = 51 + -32. Let t = v - z. What is the remainder when t is divided by 20?
18
Suppose -12 = 3*m, k = -k + 4*m + 30. Let o = -3 - -11. Suppose -o = -z - z. Calculate the remainder when k is divided by z.
3
Let l = 12 + -7. Let d = l - 3. What is the remainder when d is divided by 2?
0
Let g(r) = -3*r**2 + 5*r + 2. Let t be g(3). Suppose -5*i = -89 + 234. Let m = t - i. What is the remainder when m is divided by 7?
5
Suppose 20 = -6*n + 2*n, -w - 14 = 3*n. Let r(d) = d**2 + 5*d - w - 2*d - d. What is the remainder when r(-5) is divided by 5?
4
Suppose 5*z - m + 5 = 0, -z + 4*m - 20 = 2*z. Let l = z - -4. Calculate the remainder when 7 is divided by l.
3
Let z be (21/9)/(3/18). Calculate the remainder when 320/z + (-6)/(-42) is divided by 7.
2
Suppose 0 = -5*g + 6*g. Let i(q) = -q**3 - q**2 + q + 41. What is the remainder when i(g) is divided by ((-28)/(-10))/(3/15)?
13
Let r = 36 + -16. Suppose 4*l = -l. Suppose -v + 2*t + 53 = 4*v, -v + t + 10 = l. What is the remainder when r is divided by v?
9
Let j = -110 + 185. Calculate the remainder when 1/(3/j) + -2 is divided by 12.
11
Let p be 7/2 + (-1)/(-2). Suppose -2*c + c + p = 0. Suppose -4*m = -2*n - 8, -c*n - 4*m + 20 = -0*n. Calculate the remainder when 2 is divided by n.
0
Let t(q) = -5*q - 5. Suppose -2*u - 15 = -5. What is the remainder when ((-266)/(-21))/(2/6) is divided by t(u)?
18
Let g be 45/(-12) + 2/(-8). Let l = g - -17. What is the remainder when 38 is divided by l?
12
Suppose 3*v = h + 220, -4*h + 3*h = 2*v - 140. Suppose -4*g - v = -10*g. Calculate the remainder when 22 is divided by g.
10
Suppose -2*s + 24 = 5*w - 19, -9 = 3*w. What is the remainder when s is divided by 8?
5
Let p(t) = -t + 3. What is the remainder when 15 is divided by p(-3)?
3
What is the remainder when (-1462)/(-51)*(-6)/(-4) is divided by 22?
21
Suppose -3*n - 69 = -222. What is the remainder when 304 is divided by n?
49
Let u(o) = 13*o - 1. What is the remainder when u(2) is divided by 9?
7
Let v(j) = -j - 2 + 1 + 8. What is the remainder when 18 is divided by v(0)?
4
Suppose 105 = a + 4*a. Let d = -14 + a. What is the remainder when 19 is divided by d?
5
Let i be (6/(-4))/(2/4). Let g be (-3)/(-6)*4 + i. What is the remainder when 22 is divided by (-6)/(g + 1/4)?
6
Suppose 2*x - 20 = 110. What is the remainder when x is divided by 33?
32
Suppose -2*l = l - 33. What is the remainder when (10/(-6) - -3)*24 is divided by l?
10
Suppose g - 106 = -5*a, 5*g = 3*g - a + 167. What is the remainder when g is divided by 6?
3
Suppose 0 = -3*u - 3*d + 66, 2*d + 92 = 4*u + 5*d. Let j = u - 18. Let w = -6 + 20. What is the remainder when w is divided by j?
6
Let v = 10 + -6. Let b = 30 - v. Suppose -3*w = -2*z - 14 + 44, 3*z - 31 = w. Calculate the remainder when b is divided by z.
8
Let w(x) = x**3 + 15*x**2 + 12*x - 8. Let q(s) = 6*s**3 + s**2 + s - 1. Calculate the remainder when w(-14) is divided by q(1).
6
Suppose 0 = -0*m + 3*m - 60. Suppose 4*u = u + 6. Suppose -u*d + d + 39 = 0. What is the remainder when d is divided by m?
19
Suppose -3*h = -h. Suppose 0 = 3*a + 2*a + 75. Let x = h - a. What is the remainder when 29 is divided by x?
14
Let q(k) = -4*k - 8. Let s = -135 - -166. Calculate the remainder when s is divided by q(-6).
15
Let v = -1 - 2. Let a = v + 9. What is the remainder when 10 is divided by a?
4
Let v(u) = -2 + 5*u - u**2 - u**2 + 3*u**2. Let h be v(-6). Suppose 37 = h*y - 79. Calculate the remainder when y is divided by 15.
14
Let b(m) = -m - 3. Let h be b(6). Let l = h - -4. Let s(d) = d**2 + d - 7. What is the remainder when s(l) is divided by 7?
6
Let z(u) = u**2 - 3*u + 6. Calculate the remainder when z(5) is divided by (-4)/2 - (-26 - -15).
7
What is the remainder when (4/5)/(3/45) is divided by ((-28)/(-6))/((-4)/(-6))?
5
Let k = -235 + 333. Calculate the remainder when k is divided by 25.
23
Suppose 7*b = -122 + 773. What is the remainder when b is divided by 24?
21
Suppose 19 = 2*g + 3*a, -g - 39 = -3*g + a. Suppose 3*u = -2*c + 25 + g, u - 14 = 4*c. What is the remainder when 14 is divided by (u - 2)*(-2)/(-3)?
6
Suppose 5*c + 5 = 5*v, v - 5*c - 9 = -0*v. Calculate the remainder when 33 is divided by 6/((-3)/(-2) + v).
9
Let t(w) = -2*w**3 - 2*w**2 - 4*w - 4. Calculate the remainder when 23 is divided by t(-2).
11
Let s be 8/28 + 57/21. Let a(v) = -v**3 + 4*v**2 - v + 4. Calculate the remainder when (-1)/((-2)/(-37))*-2 is divided by a(s).
7
Let x be 9 - (4 + -2) - 0. Let l = 12 - x. What is the remainder when l is divided by (-6)/(-15) - 8/(-5)?
1
Let m = -2 - 4. Let c = m + 8. What is the remainder when 13 is divided by 8/c*(-20)/(-16)?
3
Let o(a) = -34*a + 2. Let y be o(-2). Suppose -n - 5*k + 10 = 0, 5*n - y = n - 5*k. Calculate the remainder when 59 is divided by n.
19
What is the remainder when 43 is divided by 3/(1 + -2) + 25?
21
Calculate the remainder when 2 - 2 - (1 - 20) is divided by 10.
9
Suppose 15 = 2*k + 5. What is the remainder when -5 - (-182)/10 | {
"pile_set_name": "DM Mathematics"
} |
+ 195 = s*r, 9 = -r - 3*j + 70. What is the tens digit of r?
6
Let p be 144*(-3)/(-2 - 1). Let u = p + -95. What is the tens digit of u?
4
Suppose 2*z + 2 = 4*z. Let w be (z*-2)/(10/(-25)). Suppose -4*t - 3*r + 2 = -5, -2*t - 7 = w*r. What is the units digit of t?
4
Let t be 3/5*(-7 - -452). Suppose -13 - t = -4*m. What is the units digit of m?
0
Suppose 3*s = -0*s + 3, 0 = 5*u - 5*s - 10. What is the hundreds digit of (2 - 1034/(-8)) + u/(-12)?
1
Let s = -202 - -687. Suppose -3*o + s = 107. What is the units digit of o?
6
Let s be (52/(-6))/(12/(-18)). Let l = -8 + s. Suppose -6 - 29 = -l*z. What is the units digit of z?
7
Suppose -7*r + 1304 = r. Suppose 50 = -r*l + 165*l. What is the tens digit of l?
2
Let w = -671 - -941. What is the units digit of w?
0
Suppose -1445 = -v - 4*a, a + 2*a = 2*v - 2945. What is the units digit of v?
5
Let s(h) = -8*h - h**2 + 136 - 143 - h. Let i = 4 - 10. What is the units digit of s(i)?
1
Let v(f) = f + 9. Let d be v(-5). Let w(y) = -3*y - 3. Let h be w(-2). Suppose -h*t + 9 = 0, 0*t = -b - d*t + 27. What is the units digit of b?
5
Suppose -w + 2*u - 7 + 4 = 0, 5*w - u + 24 = 0. Let a(l) = l**2 + 5*l + 3. Let f be a(w). What is the units digit of f - (3 + (-21)/3)?
7
Let p be (42 + 10)*5/2. Suppose 0 = 2*m - 0*m - p. What is the units digit of m?
5
Let v(f) = 2*f + 5. Suppose 3*u + 7 = w, 7 = -4*u + 3. Let l(p) = -p**2 + 5*p. Let j be l(w). What is the tens digit of v(j)?
1
Suppose 30*h - 35*h + 6925 = 0. What is the thousands digit of h?
1
Let q(a) be the first derivative of 15*a**2/2 + 8*a + 4. What is the units digit of q(4)?
8
Let z be 2/(-15) + 103/(-15). Let p(i) = i**2 + 5*i - 10. Let x be p(z). Suppose d = -x*j + 32, -d + 29 = 3*j + d. What is the units digit of j?
7
What is the units digit of ((-7600)/114)/(2/(-6))?
0
Let q(x) = 2*x**2 + 23*x + 12. Let j be q(-10). What is the units digit of ((-28)/(-6))/((-6)/j)?
4
Let i = -77 + 85. Let l(w) = -w**3 + 11*w**2 + w - 1. Let a be l(6). Suppose i*z = a + 359. What is the tens digit of z?
6
Suppose -c = -4*b - 5298, 13*c - 10*c - 4*b - 15910 = 0. What is the units digit of c?
6
Let x(a) = a**2 - 7*a - 5. Let t be x(12). Suppose 50*s + 825 = t*s. What is the tens digit of s?
6
Suppose -2*x = -0*x. Suppose 0*h + h + 4*p - 11 = x, -h = -2*p - 29. What is the units digit of h?
3
Let f(t) = t**3 + 10*t**2 + 26*t + 97. What is the units digit of f(13)?
2
Let y = -306 - -1460. What is the units digit of y?
4
Let n(h) = 2*h - 8. Let v be n(-14). Let w = -3 - v. What is the units digit of w?
3
Suppose 5*d - 9249 = 636. What is the hundreds digit of d?
9
Let n(w) = -6*w - 19. Let t(r) = -r - 1. Let p(g) = -n(g) + 4*t(g). What is the tens digit of p(6)?
2
Let z = 24 - -19. What is the units digit of (-3 - 1) + z + 5?
4
Suppose 4*b + 2*t - 193 = 3*b, 0 = b + 3*t - 191. Let m = 283 - b. What is the units digit of m?
6
Let k = 85 - 29. Suppose 0*a - k = -4*a. What is the tens digit of (-2)/(-4)*a*2?
1
Suppose 5*s + 241 = 4*y, -s - 2*s - 239 = -4*y. Let b = y + -16. Let i = b + -1. What is the units digit of i?
2
What is the hundreds digit of 3381 + 13 + -4 + 3?
3
Let t(p) = 3*p - 4. Let v be (-240)/108 + (-2)/(-9). Let a be t(v). What is the units digit of a/(-15) - (-320)/6?
4
Let n be 0 + (2 - 2) + 4. Suppose 0 = -6*w + n*w + 22. What is the units digit of 10/8*(w - 7)?
5
Let j(h) = -h**3 - 9*h**2 - 15*h - 5. Let i be j(-7). Let g(s) = -4*s + 0*s + 4 + 0*s + 4*s**2 + 0*s. What is the units digit of g(i)?
2
Suppose -3*j - 780 = j. Let h = 298 + j. What is the hundreds digit of h?
1
Suppose -35*z + 42688 = -6*z. What is the tens digit of z?
7
Let t = 43 - 40. Suppose -3*c - 2*c + 80 = 5*n, 46 = t*c + 2*n. What is the tens digit of c?
1
Suppose 618 = -3*p - 0*p. Let t = -142 - p. What is the units digit of t?
4
Let l = -6 - -13. Let t(b) = -b + 7. Let u be t(l). Suppose 5*m - 107 + 17 = u. What is the units digit of m?
8
Let v(n) be the first derivative of 0*n - 1/3*n**3 + n**4 + 1/2*n**2 - 6. What is the tens digit of v(2)?
3
Let v = 16 + -10. Suppose v - 9 = -3*q. Suppose k = -5*t + 18 - q, 5*k + 2*t = 108. What is the tens digit of k?
2
Suppose 4*f - 18 = -2*t, t - f = -t + 8. Suppose -7*s + t*s = 0. Suppose s = -0*b + b - 20. What is the units digit of b?
0
Suppose 4121 + 1767 = 2*s + 2*x, 0 = 2*x - 8. What is the units digit of s?
0
Let y(d) = -22*d - 11. Let u be y(-6). Let v = -52 + u. What is the tens digit of v?
6
What is the tens digit of 8265/45 + (-4)/6 - -2?
8
Suppose -4*v = 24 - 40. Suppose -5*t + 238 = v*f, 2*f - t - 118 = -4*t. What is the tens digit of f?
6
Suppose 716 = 4*w - 3*v, -4*w - 3*v + 716 = -0*w. What is the hundreds digit of w?
1
Let r(j) = -j**2 + j + 2. Let q be r(3). Let k(g) = 7*g**2 + 4*g - 8. What is the units digit of k(q)?
8
Let a = -20 + 20. Suppose -126 = n - a*n. What is the tens digit of (-212)/(-18) + (-28)/n?
1
Let i = -2 + 26. Let u = 61 - i. Let s = u - 8. What is the units digit of s?
9
Let h be (-1 + -2 - -4)*-6. Let f = 0 - h. What is the units digit of (26/f)/(9/27)?
3
Suppose 0 = -h, -3*h + 7*h - 339 = -o. What is the hundreds digit of o?
3
Suppose -2*f + 8 + 12 = 0. Let a be (-16)/(-40) + (-274)/f. Let k = a + 84. What is the tens digit of k?
5
Suppose 614*g + 5340 = 619*g. What is the tens digit of g?
6
Let d be ((3 - 3)/(-3))/1. Suppose 3*b + 5*k - 287 = d, -3*b + 3*k = -104 - 151. What is the tens digit of b?
8
Let t(g) = 7*g**3 - 8*g**2 + 2*g + 3. What is the units digit of t(6)?
9
Let r be 3/3*79 + 2. Let i = 340 - r. What is the tens digit of i?
5
Suppose 0 = a + 4*a. Suppose -2*w + a = -18. What is the units digit of (w - -4) + -1*2?
1
Let d = 7918 - 3315. What is the thousands digit of d?
4
Let s be (-39)/(-5) + 8/40. Let p(t) = s*t + 16 - 2*t - 3*t. What is the tens digit of p(5)?
3
Suppose -g - 3*l + 895 = -0*l, -4*l + 16 = 0. What is the hundreds digit of g?
8
Let r(x) = 64*x**2 + 5*x + 17. What is the tens digit of r(-3)?
7
What is the hundreds digit of 692 + 2 - 25/5?
6
Let a(r) = 2*r**2 - 15*r - 4. Let s be a(8). Let i(u) = u**3 - 4*u**2 + 5*u - 7. What is the tens digit of i(s)?
1
What is the units digit of 5 - (6 - (542 + 1))?
2
Suppose -135 = -5*i - 0. Let p be (6/i)/(2/18). Suppose -3*h + p*d + 91 = 0, -3*h + 52 = -3*d - 38. What is the tens digit of h?
3
Suppose 0*a = -2*a + 204. What is the hundreds digit of a?
1
Suppose -6*k + 39 = -9*k. Let m(u) = -u**2 - 11*u + 30. Let x be m(k). Suppose 0 = -6*z + x*z + 26. What is the units digit of z?
3
Suppose 10*m = 4*m. What is the tens digit of (m - -10)*11/2?
5
Let f = 9 - 8. Let d = -18 + f. What is the units digit of (d - -3)/(-2 + 0)?
7
Suppose -13 = -8*p + 19. Suppose -175 = -p*d + 57. Suppose 0 = k + 5*s - 67, k + 0*k - 4*s = d. What is the units digit of k?
2
What is the tens digit of (-84)/294 - (-10131)/7?
4
Let g be (-17)/(-17)*(2 + -2). Suppose g = d - 4*u + 21 - 61, -3*d + 5*u = -106. What is the tens digit of d?
3
Let q(m) = 0*m + 115*m**2 + 0*m - 40*m**2 + m. What is the tens digit of q(-1)?
7
Let v = 0 - -3. Suppose 0 = -3*m - 2*o + 8, o - v*o = -m + 16. Let n(b) = 3*b + 3. What is the tens digit of n(m)?
2
Let m = 3353 + -1531. What is the tens digit of m?
2
Suppose m = -8 - 2. Let q be (4/14)/(m/70). What is the tens digit of -4 - ((q - 55) + -1)?
5
Let z = 119 + -55. Let j = z - 35. What is the units digit of j?
9
Suppose -5*f + 3*y + 2953 = -f, -2*f = -3*y - 1475. What is the tens digit of f?
3
What is the tens digit of -6 - -11 - ((-3427 - -3) + -2)?
3
Let v(d) = 2*d**3 - 17*d**2 + 6*d + 12. What is the thousands digit of v(15)?
3
Suppose 0 = -11*c + 7*c. Suppose -10*r + 15*r + 55 = c. Let n = r - -17. What is the units digit of n?
6
Let v = -1103 + 1183. What is the units digit of v?
0
Suppose 3*k = -3*h, 6*h - 2*h - 3 = -3*k. Let f be (k/(-6))/(3/534). Let a = -59 + f. What is the tens digit of a?
3
What is the hundreds digit of 2009/3 - 62/93?
6
Let n = 328 + -188. Suppose b = -5*p + n, 3*b - 162 = -2*p + 271. What is the hundreds digit of b?
1
Suppose 7*b - b = 2142. What is the hundreds digit of b?
3
What is the tens digit of (-30435)/40*-6 + 6/8?
6
Let q(y) = y - 1. Let r be q(3). Suppose r*u + 3*u - 3*x = 298, x = -5*u + 314. What is the units digit of u?
2
Let d(t) = 2*t + 31. Let j be d(-13). Suppose -4*g + 3*g + 17 = 5* | {
"pile_set_name": "DM Mathematics"
} |
s 10 divide 1025?
False
Does 15 divide 1155?
True
Is 46 a factor of 4738?
True
Is 34 a factor of 45741?
False
Is 3772 a multiple of 41?
True
Is 11147 a multiple of 107?
False
Does 43 divide 802?
False
Is 16 a factor of 429?
False
Does 22 divide 132?
True
Does 21 divide 399?
True
Is 178 a factor of 2136?
True
Is 2523 a multiple of 29?
True
Does 4 divide 7412?
True
Is 1824 a multiple of 4?
True
Does 31 divide 5983?
True
Is 272 a multiple of 39?
False
Does 6 divide 306?
True
Does 8 divide 3983?
False
Is 9543 a multiple of 29?
False
Is 5445 a multiple of 11?
True
Is 103 a multiple of 3?
False
Does 295 divide 48085?
True
Is 6 a factor of 720?
True
Is 15 a factor of 4845?
True
Is 5944 a multiple of 8?
True
Is 125 a factor of 52592?
False
Does 4 divide 3760?
True
Does 51 divide 4182?
True
Is 945 a multiple of 21?
True
Does 13 divide 50862?
False
Is 32 a factor of 1492?
False
Is 4 a factor of 1302?
False
Does 37 divide 1911?
False
Is 420 a multiple of 28?
True
Is 290 a multiple of 3?
False
Is 196 a factor of 26846?
False
Is 495 a multiple of 55?
True
Does 37 divide 4206?
False
Does 51 divide 2856?
True
Is 10563 a multiple of 21?
True
Does 8 divide 4811?
False
Is 59 a factor of 5074?
True
Does 193 divide 217?
False
Is 5 a factor of 45?
True
Is 11 a factor of 2623?
False
Does 6 divide 230?
False
Does 11 divide 42581?
True
Does 134 divide 61109?
False
Is 39 a factor of 2496?
True
Does 2 divide 1969?
False
Does 77 divide 14650?
False
Does 244 divide 14640?
True
Does 39 divide 718?
False
Does 14 divide 406?
True
Does 5 divide 1166?
False
Does 8 divide 133?
False
Is 66 a factor of 2244?
True
Does 48 divide 13211?
False
Is 1329 a multiple of 53?
False
Is 55 a factor of 90970?
True
Is 29 a factor of 1102?
True
Does 46 divide 26391?
False
Is 37 a factor of 1443?
True
Is 6 a factor of 360?
True
Is 990 a multiple of 22?
True
Is 61761 a multiple of 51?
True
Is 4 a factor of 344?
True
Is 53 a factor of 23315?
False
Is 95 a factor of 258?
False
Does 9 divide 2456?
False
Does 12 divide 50052?
True
Does 30 divide 1343?
False
Is 15 a factor of 28905?
True
Is 5952 a multiple of 93?
True
Does 25 divide 525?
True
Is 3 a factor of 571?
False
Is 49 a factor of 1258?
False
Does 25 divide 3716?
False
Does 16 divide 28288?
True
Does 81 divide 29322?
True
Is 3196 a multiple of 4?
True
Is 140 a factor of 3220?
True
Is 7 a factor of 189?
True
Is 18348 a multiple of 44?
True
Is 8 a factor of 847?
False
Does 44 divide 5104?
True
Does 24 divide 792?
True
Is 4 a factor of 656?
True
Is 12 a factor of 1759?
False
Is 5472 a multiple of 72?
True
Is 24288 a multiple of 46?
True
Is 38 a factor of 3265?
False
Does 10 divide 50?
True
Is 2760 a multiple of 57?
False
Is 72486 a multiple of 74?
False
Is 9 a factor of 121?
False
Does 20 divide 158?
False
Does 20 divide 16060?
True
Is 101 a factor of 303?
True
Is 59358 a multiple of 26?
True
Is 8206 a multiple of 11?
True
Is 39 a factor of 681?
False
Is 1174 a multiple of 26?
False
Is 391 a multiple of 17?
True
Is 11 a factor of 847?
True
Does 5 divide 803?
False
Does 57 divide 11913?
True
Does 72 divide 20913?
False
Is 4125 a multiple of 11?
True
Is 57 a factor of 6726?
True
Is 8302 a multiple of 58?
False
Is 1944 a multiple of 108?
True
Is 15141 a multiple of 37?
False
Does 195 divide 41730?
True
Is 53793 a multiple of 25?
False
Is 364 a multiple of 14?
True
Does 14 divide 2689?
False
Does 3 divide 9415?
False
Is 58 a multiple of 54?
False
Is 11 a factor of 10990?
False
Is 47 a factor of 611?
True
Does 8 divide 10569?
False
Is 54 a factor of 1890?
True
Is 1203 a multiple of 7?
False
Is 203 a multiple of 2?
False
Is 1660 a multiple of 38?
False
Is 4462 a multiple of 47?
False
Does 25 divide 1349?
False
Is 40 a factor of 960?
True
Is 12 a factor of 5979?
False
Does 62 divide 9424?
True
Does 116 divide 27777?
False
Is 11213 a multiple of 20?
False
Is 647 a multiple of 10?
False
Is 48 a factor of 3936?
True
Does 15 divide 750?
True
Is 16 a factor of 240?
True
Is 36 a factor of 2736?
True
Is 945 a multiple of 45?
True
Does 3 divide 16221?
True
Is 57 a factor of 1824?
True
Is 46 a factor of 580?
False
Is 9 a factor of 86?
False
Does 17 divide 1088?
True
Does 206 divide 68759?
False
Does 27 divide 14148?
True
Is 31 a factor of 1174?
False
Is 5 a factor of 320?
True
Is 30743 a multiple of 21?
False
Is 1231 a multiple of 29?
False
Is 13 a factor of 1339?
True
Is 1324 a multiple of 3?
False
Does 21 divide 28413?
True
Is 103 a factor of 14832?
True
Is 2 a factor of 463?
False
Is 190 a multiple of 2?
True
Is 3804 a multiple of 20?
False
Does 13 divide 2086?
False
Does 9 divide 117?
True
Is 2603 a multiple of 4?
False
Is 12 a factor of 1200?
True
Is 3014 a multiple of 137?
True
Does 50 divide 24800?
True
Does 30 divide 10667?
False
Is 14 a factor of 23534?
True
Does 16 divide 5736?
False
Does 30 divide 85770?
True
Does 20 divide 128654?
False
Is 88 a factor of 528?
True
Does 254 divide 45556?
False
Is 6 a factor of 202?
False
Is 2 a factor of 2202?
True
Is 8172 a multiple of 67?
False
Is 84 a multiple of 19?
False
Does 8 divide 21?
False
Is 47628 a multiple of 98?
True
Does 29 divide 87957?
True
Does 31 divide 837?
True
Is 66 a multiple of 6?
True
Is 50236 a multiple of 21?
False
Is 9 a factor of 36?
True
Does 12 divide 36470?
False
Does 6 divide 247?
False
Is 1592 a multiple of 8?
True
Is 325 a multiple of 65?
True
Is 233 a multiple of 14?
False
Is 2 a factor of 43?
False
Is 43 a factor of 85841?
False
Does 162 divide 180980?
False
Is 22 a factor of 264?
True
Does 34 divide 1292?
True
Is 17715 a multiple of 34?
False
Is 5 a factor of 17904?
False
Is 41 a factor of 44854?
True
Is 80 a multiple of 19?
False
Is 10 a factor of 1076?
False
Is 162 a multiple of 24?
False
Is 4872 a multiple of 12?
True
Is 15 a factor of 225?
True
Is 4 a factor of 3435?
False
Is 1344 a multiple of 8?
True
Does 24 divide 624?
True
Is 50 a factor of 1611?
False
Is 1008 a multiple of 24?
True
Is 22 a factor of 449?
False
Does 29 divide 4524?
True
Is 408 a multiple of 5?
False
Is 20 a factor of 61?
False
Is 152 a factor of 28880?
True
Is 615 a multiple of 15?
True
Is 550 a multiple of 4?
False
Does 16 divide 576?
True
Is 4428 a multiple of 12?
True
Is 576 a multiple of 72?
True
Is 12 a factor of 8820?
True
Is 31013 a multiple of 156?
False
Is 216 a multiple of 24?
True
Is 3 a factor of 4704?
True
Is 18 a factor of 2988?
True
Does 49 divide 12479?
False
Is 5 a factor of 9771?
False
Does 49 divide 7840?
True
Is 844 a multiple of 36?
False
Does 230 divide 101430?
True
Is 2610 a multiple of 29?
True
Does 27 divide 1636?
False
Is 35 a factor of 8781?
False
Does 17 divide 261?
False
Does 83 divide 389?
False
Is 1519 a multiple of 34?
False
Is 23 a factor of 2530?
True
Is 56 a factor of 7896?
True
Is 11 a factor of 87?
False
Is 9 a factor of 60839?
False
Does 43 divide 412?
False
Is 16954 a multiple of 16?
False
Does 13 divide 975?
True
Does 3 divide 23573?
False
Is 8 a factor of 1376?
True
Is 15568 a multiple of 56?
True
Is 1988 a multiple of 14?
True
Is 1905 a multiple of 5?
True
Is 507 a multiple of 13?
True
Does 28 divide 2248?
False
Does 40 divide 9360?
True
Is 682 a multiple of 14?
False
Does 124 divide 72168?
True
Is 50 a multiple of 25?
True
Does 58 divide 2784?
True
Is 13 a factor of 15908?
False
Is 52 a factor of 26676?
True
Is 17 a factor of 508?
False
Is 2735 a multiple of 34?
False
Does 34 divide 14688?
True
Is 49 a factor of 2842?
True
Does 33 divide 3655?
False
Is 47929 a multiple of 7?
True
Does 84 divide 2688?
True
Is 14 a factor of 4956?
True
Does 10 divide 390?
True
Does 3 divide 7885?
False
Does 4 divide 1424?
True
Is 4968 a multiple of 72?
True
Does 6 divide 947?
False
Is 26 a factor of 9793?
False
Is 4142 a multiple of 38?
True
Is 944 a multiple of 17?
False
Is 22 a factor of 176?
True
Does 16 divide 856?
False
Is 34 a factor of 14865?
False
Does 30 divide 5820?
True
Does 24 divide 6912?
True
Does 219 divide 19053?
True
Is 2884 a multiple of 28?
True
Is 67 a factor of 5427?
True
Is 49 a factor of 392?
True
Does 8 divide 285?
False
Is 25282 a multiple of 36?
False
Is 8 a factor of 10512?
True
Is 5981 a multiple of 63?
False
Is 12 a factor of 13068?
True
Does 2 divide 1682?
True
Is 26 a factor of 1215?
False
Is 20 a factor of 2053?
False
Does 8 divide 512?
True
Is 1 | {
"pile_set_name": "DM Mathematics"
} |
= -8 - x. Put h, -2, q in descending order.
q, -2, h
Suppose 3*h - 12 - 18 = 3*a, 0 = -4*h - 5*a + 58. Suppose 39 = h*v - 9. Sort v, 12, 2 in descending order.
12, v, 2
Let s = 10/810199 - 1582320247/129631840. Let c = s - -1/160. Sort c, 0.3, -2/11 in descending order.
0.3, -2/11, c
Let q(k) = k**2 - 2*k - 2. Let s be q(-2). Sort s, 4, -4, -13.
-13, -4, 4, s
Let s = -628 + 631. Put -3, -14, s, -6 in descending order.
s, -3, -6, -14
Let c = -103 - -103. Suppose 2*o + 4*a - 30 = -c, 4*o + 5 = 5*a. Let u be (25/(-10))/o*4/2. Put u, -2, 1 in increasing order.
-2, u, 1
Let z be (1 - 2/1)*0. Suppose 0*q + 3*q - 15 = z. Let o(s) = 9*s + 25. Let c be o(-3). Put -5, q, 6, c in descending order.
6, q, c, -5
Let x = -1739 + 1164. Let o = x + 548. Suppose 5*l - 3 = 4*a, 3*l + 0*l - 4*a + 3 = 0. Sort 2, l, o in descending order.
l, 2, o
Let j = 3.6 - 4. Let w = 0.0156245 - 20.0156245. Put j, w, -4/5 in increasing order.
w, -4/5, j
Suppose 0 = 4420*x - 4445*x - 275. Put -4, -206, x in descending order.
-4, x, -206
Suppose 0 = 16*q + 6*s - 11*s - 39, -17 = -3*q - s. Suppose 5*a - 2*j = -6*j - 20, 4*a = j + 5. Sort 2, -5, q, a in ascending order.
-5, a, 2, q
Let k be (-6 - -1)*(-2 - -1). Let f = -75 - -76. Sort -2/7, 1/5, k, f in descending order.
k, f, 1/5, -2/7
Let u = 167/68 - -3/68. Let w = -118 - -153. Let c = 34.99 - w. Put u, c, -1/2 in ascending order.
-1/2, c, u
Suppose o + g = -3*o + 104, 0 = -5*g. Let h be 3 + (5/2)/((-13)/o). Put -4, 0, h, -3 in decreasing order.
0, h, -3, -4
Let s = 0.2 + -1.4. Let w = s + 1. Let a be 51/18 - -1 - 7/(-42). Put w, 0.3, -5, a in increasing order.
-5, w, 0.3, a
Let h = 66.17 - 146.17. Put -20, h, 4 in descending order.
4, -20, h
Suppose -2*a = -5*s - 101 - 76, a = 4*s + 84. Let x = a + -93. Let c be -1 + (x + (-5 - -1) - 1). Sort 2, 22, c.
c, 2, 22
Let l(m) = 19*m + 2169. Let u be l(-114). Sort -2, 0, u, -4, 1.
-4, -2, 0, 1, u
Suppose 7*q - 6 = 5*q. Suppose -q*h + 8 = 4*c - 2*h, -3*c + 4*h + 6 = 0. Suppose -3*w + 20 = 5, -2*w = c*o. Sort o, 2, -2 in descending order.
2, -2, o
Let g(z) = z**3 - z**2 + 111*z + 231. Let o be g(-2). Let l(b) = -2*b + 8. Let s be l(-10). Sort o, s, -9 in ascending order.
-9, o, s
Let w(r) = 8*r**3 + 4*r**2 - 2*r + 3. Let h be w(1). Sort -4/13, h, -2.
-2, -4/13, h
Suppose -2*k + x + 0 = -7, 3*k - 21 = -2*x. Suppose -108*r = -110*r. Sort r, k, 3, -47.
-47, r, 3, k
Let b = -3439 - -3438. Sort 3, -2, 0, b, 54 in decreasing order.
54, 3, 0, b, -2
Let g(s) = 29*s - 195. Let a be g(7). Let h be (0 + 0)*2/a. Put -4, h, 32 in descending order.
32, h, -4
Let r(h) = -h**3 - 28*h**2 + 129*h + 28. Let k be r(-32). Let b be 8/2*k/(-152). Sort 0.5, b, 2, 5 in increasing order.
b, 0.5, 2, 5
Let c = -25 - -23.87. Let q = c + 0.93. Let h = 4 - 5. Put q, h, 2/13 in ascending order.
h, q, 2/13
Suppose 35 = -5854*q + 5861*q. Sort -11, -4, q, 4, -5 in decreasing order.
q, 4, -4, -5, -11
Suppose 2*k + 4*a + 10 = a, -2*k - 10 = -4*a. Let p(t) = 2*t**2 + 2*t - 2. Let v be p(1). Let l be (-4 + (-55)/(-15))*-3. Sort l, v, k in increasing order.
k, l, v
Let o = -0.7018 + 0.2018. Sort 0, o, -2, -141/13 in decreasing order.
0, o, -2, -141/13
Let k = 6.99 - -0.01. Let t = 0.92534 - -0.07466. Put -4, -2/17, t, k in increasing order.
-4, -2/17, t, k
Let c = -16117 - -64465/4. Suppose 2*j - 174 = -2*j + 3*w, w + 43 = j. Suppose -5*l - 5 = -j. Sort l, -2, c in decreasing order.
l, c, -2
Let t = -25 - -25. Let o = 2.03 - 0.03. Let r be 0 + -2 - -1 - 270/(-150). Put r, o, t in decreasing order.
o, r, t
Let l = 7334 + -7335. Sort -19, l, 23 in ascending order.
-19, l, 23
Let b = 17022 + -34043/2. Put -3, b, -4, 80 in descending order.
80, b, -3, -4
Let m be (1918/(-570))/(-7) - 3/(-15). Let h = -11/15 + m. Put 3/10, 1, h in descending order.
1, 3/10, h
Suppose -45 = 53*l - 98. Sort -5, -166, l in increasing order.
-166, -5, l
Let b(j) = j**3 - 19*j**2 + 79*j + 102. Let t be b(9). Put t, 1, -5, 11, 2 in descending order.
11, t, 2, 1, -5
Suppose 1138*j + 48 = 1114*j. Let r(m) = m**3 - 6*m**2 + 4*m + 2. Let b be r(5). Let g be (-44)/12*b - -1. Put j, g, 2, -5 in decreasing order.
g, 2, j, -5
Let n = 17649 - 105917/6. Let t = 1 - -4. Put t, n, 4 in increasing order.
n, 4, t
Let q = 436 - 946. Let x = -515 - q. Sort x, -17, 1 in descending order.
1, x, -17
Let v be (-323)/(-380) + -2 + (-6)/(-8). Let d be 2/(-5) - (-22)/5. Suppose -1 = r + d. Sort r, -3, v, 5 in descending order.
5, v, -3, r
Let n = 279 - 275. Let w = 0 + 0. Let j = -3437 + 3446. Put j, 2, w, n in ascending order.
w, 2, n, j
Let n = 6585 - 6581. Sort 1, 5, -14, n, -6 in decreasing order.
5, n, 1, -6, -14
Let w = -63 - -65. Suppose -3*a - 28 = -2*o, 48 = 5*o + 5*a - 7*a. Sort o, w, -2 in decreasing order.
o, w, -2
Let n be ((-288)/(-108))/(5*4/(-30)). Put -0.1, -7, 3, 2/9, n in decreasing order.
3, 2/9, -0.1, n, -7
Let s = -720586/11 + 65508. Let b = -3/26 - 5/13. Sort s, 2, 0.4, b.
b, s, 0.4, 2
Let u be -43 + 47 + (-2 - -6). Let q be u/20 - 391/(-85). Sort -5, -33, -3, q.
-33, -5, -3, q
Let u = -116 + 118. Let c = -4 + u. Let g = -8.5 - -8. Put c, -4, 0.5, g in descending order.
0.5, g, c, -4
Let l = -1.6 + 1.9. Let w(a) = -3*a**2 + 46*a - 98. Let d be w(13). Sort 4, 1/3, d, l in descending order.
4, 1/3, l, d
Let u = 290 + -386. Let d = 105 + u. Sort 2, -3/4, d in ascending order.
-3/4, 2, d
Suppose 0 = 4*n + 3*p + 13, -p = 192*n - 196*n - 1. Put n, -5, 3, 29 in descending order.
29, 3, n, -5
Let s = 0 + 0. Suppose 324*t + 507 - 362 = -503. Put t, -4, 6, s in descending order.
6, s, t, -4
Let h(v) = 5*v. Let x(k) = k - 1. Let p(r) = -2*r + 41. Let o be p(20). Let j(q) = o*h(q) - 6*x(q). Let m be j(7). Sort 1, 5, m in ascending order.
m, 1, 5
Let h = 713 + -706. Suppose -2*g = -5*g + 39. Suppose 16*x + 3 = g*x. Sort -2, x, 1/5, h in decreasing order.
h, 1/5, x, -2
Suppose 0 = -5*k + 5*y + 510, 4*k + 4*y = 418 - 10. Let a = k - 104. Put 2, a, -4, -5 in increasing order.
-5, -4, a, 2
Let k = 31106 + -30848. Put 15, k, -4 in decreasing order.
k, 15, -4
Let y be (-8*2/(-20))/((-564)/(-60) + -9). Put 3, 0, y, 13 in descending order.
13, 3, y, 0
Suppose r - 6*r - 4*w = 161, 3*r + 71 = 4*w. Let k be (4 - 1)*((-66)/(-9) + -9). Put -2, r, k, 2 in descending order.
2, -2, k, r
Let l be ((-12 + 6)/54)/((-64)/(-288)). Put -0.3, -2, 42, l in decreasing order.
42, -0.3, l, -2
Suppose -4*i - 5*h + 72 = 0, -i + 21 = -2*h + 4*h. Suppose -2*y - 2*y = -a - i, -y = 3*a - 13. Sort -5, -23, y in decreasing order.
y, -5, -23
Let d = 2073 + -2072.5. Sort d, 0.4, 58, -1/3.
-1/3, 0.4, d, 58
Suppose 2*k + q + 6 = 0, -10*k + 4*q - 41 = -5*k. Let s(z) = -2*z**2 + z. Let j be s(-1). Let h = 26 - 2. Put h, j, k in increasing order.
k, j, h
Let z be 127/44*(8/188 - 0). Let s = z + -3/94. Sort -3, s, 2/9 in ascending order.
-3, s, 2/9
Suppose 2*c - 4 = -2*c, 4*q + 4*c = -16. Let r = 9 + q. Let a(h) = h**2 + 46*h + 506. Let o be a(-28). Sort o, r, -0.2 in decreasing order.
r, o, -0.2
Suppose -6*a - 15 = -45. Let d be 28/(-6) - 2/6. Let j(n) = 3*n - 53. Let g be j(17). Sort d, 3, g, a.
d, g, 3, a
Let c = 0.9 + 2.8. Put -1, -3, c in decreasing order.
c, -1, -3
Let g be (-188)/(-84) + -2 - (-2)/(-3). Let c = -29 - -19. Let w be ((-24)/c)/((-18)/(-12)). Sort g, w, -4.
-4, g, w
Let o = 1237 - 1233. Let u = 0.064 + 82.936. Sort u, o, -4 in increasing order.
-4, o, u
Let k = 2.864 - 2.7. Let f = 50 - 49.964. Let n = k + f. Put 2, n, 0.4 in ascending order.
n, 0.4, 2
Let c = -18.95 + 19.45. Sort c, -1.5, -3 in ascending order.
-3, -1.5, c
Let x be 0 - ((-8)/2 + 4)/(14 + -15). Let t be 2/9 - 38/9. Sort -2, t, x.
t, -2, x
Let r(b) = -b**2 + 56*b - 462. Let k be r(46). Put k, 2/15, 72 in decreasing order.
72, 2/15, k
Let w(p) = -p**3 - p - 1. Let s(z) = -4*z**3 + 7*z**2 - 9*z. Let g(v) = -s(v) + 3*w(v). Let y be g(6). Sort -4, 13, y in decreasing order.
13, y, -4
Suppose -9 = 3*j + 8 - 20. Sort 3, j, -5/121, -1.5 in descending order.
3, j, -5/121, -1.5
Let v = -608 - -609. Let m be 9 + -4 + (-8 - -2). Sort v, m, -3, 4 in decreasing order.
4, v, m, -3
Let w be 336/54 + 18/(-81). Let a be -1*w - (-84)/15. Let f = -0.5 + 1. Sort a, 1/3, f, 4/5 in descending order.
4/5, f, 1/3, a
Let w(o) = 3*o**2 - 154*o + 1804. Let g be w(34). Sort g, 1, -0.11 in decreasing order.
g, 1, -0.11
Let r = 50.8 - 59. Let v = | {
"pile_set_name": "DM Mathematics"
} |
1093924 is divided by 7059.
6838
What is the remainder when 696395 is divided by 858?
557
What is the remainder when 29426 is divided by 1510?
736
Calculate the remainder when 130461 is divided by 3246.
621
Calculate the remainder when 46428 is divided by 76.
68
What is the remainder when 260500 is divided by 68?
60
What is the remainder when 1700549 is divided by 15?
14
What is the remainder when 1370292 is divided by 710?
702
Calculate the remainder when 535224 is divided by 106443.
3009
What is the remainder when 127854 is divided by 21115?
1164
What is the remainder when 59797953 is divided by 2042?
25
Calculate the remainder when 278354669 is divided by 503.
2
What is the remainder when 18214460 is divided by 162?
152
Calculate the remainder when 1322611 is divided by 146.
143
What is the remainder when 4088712 is divided by 901?
875
Calculate the remainder when 3259540 is divided by 75.
40
What is the remainder when 3728494 is divided by 34?
20
What is the remainder when 21768337 is divided by 5858?
9
Calculate the remainder when 9416245 is divided by 757.
679
Calculate the remainder when 289557646 is divided by 641.
639
What is the remainder when 120311 is divided by 3183?
2540
Calculate the remainder when 1050384 is divided by 40.
24
What is the remainder when 432445 is divided by 6?
1
What is the remainder when 13789128 is divided by 324?
12
Calculate the remainder when 22540845 is divided by 1452.
1449
Calculate the remainder when 614253 is divided by 306659.
935
Calculate the remainder when 1784697 is divided by 25865.
12
Calculate the remainder when 351867 is divided by 848.
795
What is the remainder when 332990 is divided by 13788?
2078
What is the remainder when 2953 is divided by 1555?
1398
What is the remainder when 6712083 is divided by 2161?
17
Calculate the remainder when 7056931 is divided by 5208.
91
Calculate the remainder when 6098030 is divided by 2474.
2094
Calculate the remainder when 14123762 is divided by 2824749.
17
What is the remainder when 47534 is divided by 4998?
2552
Calculate the remainder when 34174 is divided by 30062.
4112
What is the remainder when 3060902 is divided by 765023?
810
Calculate the remainder when 29516 is divided by 4091.
879
Calculate the remainder when 10815 is divided by 2040.
615
What is the remainder when 397570 is divided by 397047?
523
Calculate the remainder when 49723 is divided by 788.
79
What is the remainder when 13981968 is divided by 1997387?
259
Calculate the remainder when 29903707 is divided by 279473.
96
Calculate the remainder when 9764115 is divided by 91.
88
What is the remainder when 26800 is divided by 24309?
2491
What is the remainder when 1286919 is divided by 134?
117
What is the remainder when 10702 is divided by 10618?
84
Calculate the remainder when 139972 is divided by 3252.
136
What is the remainder when 325585932 is divided by 45?
42
Calculate the remainder when 76303205 is divided by 126.
125
Calculate the remainder when 6776042 is divided by 2258614.
200
What is the remainder when 6214145 is divided by 40615?
50
Calculate the remainder when 85161832 is divided by 1177.
1174
Calculate the remainder when 1976213 is divided by 3743.
3652
What is the remainder when 2885077 is divided by 632?
629
Calculate the remainder when 3861895 is divided by 430.
65
What is the remainder when 257093427 is divided by 1307?
1299
What is the remainder when 1569763 is divided by 28?
27
What is the remainder when 640287 is divided by 932?
3
Calculate the remainder when 438791 is divided by 146.
61
Calculate the remainder when 1087960 is divided by 98900.
60
What is the remainder when 2563727 is divided by 185?
182
Calculate the remainder when 28966 is divided by 4823.
28
What is the remainder when 38228422 is divided by 3041?
11
What is the remainder when 60148523 is divided by 25?
23
What is the remainder when 26767669 is divided by 396?
49
Calculate the remainder when 92109 is divided by 2374.
1897
Calculate the remainder when 54086819 is divided by 9014468.
11
Calculate the remainder when 167463 is divided by 136.
47
Calculate the remainder when 66347893 is divided by 15.
13
What is the remainder when 91707836 is divided by 240?
236
What is the remainder when 400449 is divided by 133479?
12
What is the remainder when 3484571 is divided by 470?
461
What is the remainder when 2038217 is divided by 794?
19
Calculate the remainder when 2704028 is divided by 601.
129
What is the remainder when 4111438 is divided by 43?
36
What is the remainder when 661397 is divided by 73471?
158
What is the remainder when 836527 is divided by 16707?
1177
Calculate the remainder when 16712124 is divided by 47.
5
Calculate the remainder when 160899714 is divided by 263.
259
What is the remainder when 18097123 is divided by 6990?
13
What is the remainder when 256627 is divided by 1770?
1747
Calculate the remainder when 5351302 is divided by 3.
1
What is the remainder when 424540 is divided by 381?
106
Calculate the remainder when 10263207 is divided by 2708.
2595
What is the remainder when 2583031 is divided by 58?
1
What is the remainder when 2556883 is divided by 7?
0
Calculate the remainder when 52528175 is divided by 62.
39
What is the remainder when 40611 is divided by 1611?
336
Calculate the remainder when 7968956 is divided by 31.
3
What is the remainder when 1865673 is divided by 280?
33
What is the remainder when 22857 is divided by 22787?
70
What is the remainder when 5908598 is divided by 40?
38
Calculate the remainder when 319201 is divided by 319142.
59
What is the remainder when 27991 is divided by 7808?
4567
Calculate the remainder when 8626724 is divided by 1667.
1666
Calculate the remainder when 228759 is divided by 4668.
27
Calculate the remainder when 846514 is divided by 132.
130
What is the remainder when 31223050 is divided by 55?
45
What is the remainder when 19161470 is divided by 13?
3
What is the remainder when 15493 is divided by 11483?
4010
What is the remainder when 17172151 is divided by 2862024?
7
Calculate the remainder when 501045 is divided by 11.
6
What is the remainder when 81453 is divided by 81428?
25
Calculate the remainder when 142679 is divided by 215.
134
What is the remainder when 1991641 is divided by 797?
735
Calculate the remainder when 735668 is divided by 52546.
24
What is the remainder when 94122 is divided by 992?
874
Calculate the remainder when 254719 is divided by 765.
739
Calculate the remainder when 390161157 is divided by 72.
69
What is the remainder when 7320808 is divided by 448?
40
Calculate the remainder when 6857834 is divided by 220.
214
What is the remainder when 12670488 is divided by 283?
12
What is the remainder when 37442 is divided by 3213?
2099
Calculate the remainder when 488463 is divided by 28732.
19
What is the remainder when 8578052 is divided by 12?
8
Calculate the remainder when 3553443 is divided by 6001.
851
Calculate the remainder when 78532 is divided by 260.
12
What is the remainder when 1282530 is divided by 111?
36
Calculate the remainder when 15061394 is divided by 2451.
2450
What is the remainder when 1355791 is divided by 14423?
29
What is the remainder when 77347048 is divided by 11?
9
Calculate the remainder when 48162143 is divided by 215.
208
Calculate the remainder when 1690551 is divided by 1418.
295
Calculate the remainder when 19450737 is divided by 2431330.
97
What is the remainder when 23121189 is divided by 5?
4
Calculate the remainder when 85640 is divided by 10450.
2040
Calculate the remainder when 60975 is divided by 8313.
2784
What is the remainder when 39056 is divided by 731?
313
What is the remainder when 2226696 is divided by 49482?
6
What is the remainder when 32452396 is divided by 8113098?
4
Calculate the remainder when 1057645 is divided by 1057636.
9
What is the remainder when 165635 is divided by 373?
23
Calculate the remainder when 47866948 is divided by 5983367.
12
Calculate the remainder when 871435177 is divided by 1629.
1627
What is the remainder when 55189949 is divided by 27594967?
15
Calculate the remainder when 1904475 is divided by 183.
177
What is the remainder when 273585 is divided by 53236?
7405
Calculate the remainder when 410605 is divided by 728.
13
Calculate the remai | {
"pile_set_name": "DM Mathematics"
} |
**2 - v + 9. Let f be h(6). Differentiate 2 + 4*a**f + 1 + 5*a**3 + 0*a**3 wrt a.
27*a**2
Let p(n) be the third derivative of -n**8/336 - 7*n**6/30 + 8*n**5/3 + n**2 + 37*n. Find the third derivative of p(g) wrt g.
-60*g**2 - 168
Let q(k) be the first derivative of -179*k**3/3 - 134*k - 23. What is the first derivative of q(y) wrt y?
-358*y
Let a be 10/(-2)*(0 + -1). Suppose 55 = 5*h - 2*n, 0 = 5*h + a*n - 56 + 1. Find the third derivative of -h*f**3 - f + 8*f**3 + f + f**2 wrt f.
-18
Let g(v) be the third derivative of 79*v**6/120 - 6*v**5/5 - 3*v**2 + v. Find the third derivative of g(z) wrt z.
474
Suppose 0 = -5*g + b + 1, -3*g - 3*b = 2*b + 5. What is the first derivative of -5*w + 43 - w + g*w + 0*w wrt w?
-6
Let u = 3 - 0. Let k = -55 - -57. What is the second derivative of -w**3 - w - 5*w**u - w + k*w**3 wrt w?
-24*w
Let w(l) be the first derivative of -10*l**7/21 + l**3 - 21*l - 4. Let c(p) be the first derivative of w(p). Find the second derivative of c(q) wrt q.
-400*q**3
Let k(r) be the third derivative of 0*r + 1/2*r**4 + 0*r**7 + 0*r**5 + 12*r**2 + 0*r**6 - 5/336*r**8 + 0*r**3 + 0. What is the second derivative of k(p) wrt p?
-100*p**3
Let m be (-20)/(-150) - 58/(-15). Find the third derivative of 8*l**5 - 10*l**2 - m*l**2 + 8 - 8 wrt l.
480*l**2
Let p(m) be the third derivative of -26*m**7/15 - 299*m**3/6 - 326*m**2. What is the first derivative of p(y) wrt y?
-1456*y**3
Let s be (-8)/40 + 16/5. Suppose -x - s*x = -12. Find the first derivative of 3 - c + 4*c**x + c + 0*c**3 wrt c.
12*c**2
Let l(k) be the first derivative of -k**6/6 - 17*k**4/4 + 23*k**3 - 24. What is the third derivative of l(w) wrt w?
-60*w**2 - 102
Let b(y) be the third derivative of y**7/21 - y**5/30 - y**4/2 - 2*y**2 + 14. What is the second derivative of b(q) wrt q?
120*q**2 - 4
Let d(q) = q**3 + q**2 + 3*q - 3. Let c be d(2). Let b = c - 9. Differentiate 5*h + 5 - b*h - 7*h wrt h.
-8
Find the first derivative of 56*w**2 - w + 270 - 613 + 10 - 8 wrt w.
112*w - 1
Let i(f) be the first derivative of -13*f**6/120 + 5*f**3/3 + f**2/2 - 9. Let s(a) be the second derivative of i(a). What is the derivative of s(n) wrt n?
-39*n**2
Let d(t) be the first derivative of -2*t**6/15 + 4*t**4/3 + 16*t + 20. Let h(k) be the first derivative of d(k). Find the third derivative of h(r) wrt r.
-96*r
Let p(i) be the third derivative of 67*i**6/120 - 59*i**3/6 + 18*i**2 - 1. Find the first derivative of p(v) wrt v.
201*v**2
Let l(s) be the first derivative of -3*s**6/10 - 9*s**4/4 - 20*s - 5. Let d(y) be the first derivative of l(y). What is the third derivative of d(x) wrt x?
-216*x
Let t(y) = y**2 - y - 1. Let r(i) = 8*i**2 - 15*i + 86. Let v(x) = -r(x) + 6*t(x). Differentiate v(g) with respect to g.
-4*g + 9
Let d(x) be the second derivative of 7/6*x**4 + 19*x + 0*x**2 + 0 - 17/6*x**3. What is the second derivative of d(c) wrt c?
28
Let t be (1 + -3)*(4 + (-9)/2). Let i(z) = -31*z**2 + 6*z + 6. Let r(j) = -j**2 + j - 1. Let m(d) = t*i(d) - 6*r(d). Differentiate m(n) wrt n.
-50*n
Let z(r) = 108*r**3 - 2*r**2 - 4*r + 95. Let h(m) = 324*m**3 - 7*m**2 - 14*m + 286. Let l(k) = 2*h(k) - 7*z(k). Differentiate l(n) wrt n.
-324*n**2
Suppose 0 = 5*l + 5*p, -3*p = 4*l - 5*l. What is the second derivative of 4*f + f**3 + 44*f + l*f + 4*f**3 wrt f?
30*f
Suppose 9*u + 2 = 65. Let h(b) be the second derivative of 0*b**3 + 1/10*b**5 - 1/3*b**4 + 0*b**2 + 0 + u*b. Find the third derivative of h(l) wrt l.
12
Let q(k) = -1046*k**3 + 38*k**2 + 1461. Let x(z) = -349*z**3 + 12*z**2 + 487. Let f(d) = -6*q(d) + 19*x(d). What is the first derivative of f(v) wrt v?
-1065*v**2
Let d(f) = -f**3 + f + 1. Let v(n) = 33*n**3 - n - 62. Let r(l) = d(l) + v(l). Differentiate r(z) with respect to z.
96*z**2
Let m be -23*(4/(-6))/((-4)/(-6)). What is the third derivative of -4*v**2 - 3594*v**4 + 3594*v**4 - m*v**6 wrt v?
-2760*v**3
Let z(q) be the second derivative of 0*q**5 + 14*q + 3*q**3 + 0*q**2 + 17/42*q**7 + 0*q**4 + 0 + 0*q**6. Find the second derivative of z(n) wrt n.
340*n**3
Let z = 36 - 32. Differentiate -4*f**2 - 2*f - 6 + 2*f - z*f**2 with respect to f.
-16*f
Let w = -2/2331 - -7001/9324. Let k(l) be the first derivative of 0*l + 0*l**2 + 1/3*l**3 + 1 - w*l**4. Find the third derivative of k(g) wrt g.
-18
Suppose -r + 14 = f + 115, 0 = -2*r - 3*f - 203. Let v be r/(-36) + (-4)/(-18). Find the second derivative of -5*w - 3 - 4*w**3 - w**3 + v wrt w.
-30*w
Let f(c) be the first derivative of -164*c**5/5 + 11*c**3/3 + c**2/2 + 113. Find the third derivative of f(i) wrt i.
-3936*i
Let k(q) be the third derivative of q**6/360 - q**5/10 - q**4/3 - 5*q**2. Let o(a) be the second derivative of k(a). What is the derivative of o(n) wrt n?
2
Let d(h) = -4*h**3 + h + 1. Let k be d(-1). Suppose -3*z + 11 + 6 = 2*b, k*z + 2*b = 22. What is the second derivative of z*p + p**5 - 15*p - 5*p**5 wrt p?
-80*p**3
Let l(f) be the second derivative of -f**9/336 - f**5/20 + 2*f**3 - 8*f. Let p(n) be the second derivative of l(n). Find the second derivative of p(o) wrt o.
-180*o**3
Let o(y) be the first derivative of -272*y**3/3 - 132*y**2 - 261. Find the second derivative of o(n) wrt n.
-544
Let o be (-8028)/(-24) + 5/2. Find the second derivative of o*g - 35*g**2 - 169*g - 173*g wrt g.
-70
Let s = 21 - 13. Suppose s*o - 7*o = 4. Find the first derivative of 2*d**o - 12*d**4 + 9*d**4 + 6 wrt d.
-4*d**3
Let k(m) be the third derivative of 295*m**8/168 - 409*m**4/24 - 3*m**2 + 85*m. What is the second derivative of k(x) wrt x?
11800*x**3
Let u(d) = d + 19. Let j be u(-16). What is the third derivative of v**j - 5*v**3 - 11*v**2 + 6*v**2 - 5*v**3 wrt v?
-54
Let h = 2 - -3. What is the third derivative of 11*d**2 - 5*d**5 - 13*d**2 + d**h wrt d?
-240*d**2
Let h(v) be the third derivative of -18*v**2 + 0*v + 0 - 1/60*v**5 + 0*v**3 - 2/15*v**6 + 0*v**4. Find the third derivative of h(y) wrt y.
-96
Let v = 11 - 8. Let l = 224 + -10. What is the second derivative of -l*n - 2*n**4 + 217*n + v*n**4 wrt n?
12*n**2
Let n = 17 - 15. Let d be 12 + (0 - n) + 1. What is the second derivative of -3*o + 5*o - 8*o**5 - d*o wrt o?
-160*o**3
Let s(l) be the third derivative of -111*l**6/40 - 2*l**5/15 - l**3/6 - 161*l**2 + 3*l. Find the third derivative of s(a) wrt a.
-1998
Suppose 5*t - 6 = 3*t. Let z(j) be the second derivative of -4*j + 0*j**2 + 1/3*j**t + 0 + 1/2*j**4. Find the second derivative of z(s) wrt s.
12
Let m(y) = 23*y + 24. Let f(r) = 231*r + 240. Let v(u) = -u**3 - 12*u**2 + 15*u + 5. Let w be v(-13). Let j(c) = w*m(c) + 2*f(c). Differentiate j(p) wrt p.
-21
What is the first derivative of 7 + 1835*x - 1835*x - 76*x**2 - 64*x**2 wrt x?
-280*x
Let m(j) be the third derivative of -32*j**7/105 - 17*j**5/30 + 53*j**2. Find the third derivative of m(c) wrt c.
-1536*c
Suppose -15*x + 11*x + 20 = 0. What is the first derivative of 35 - 11 - 13 - 12*o**3 - x wrt o?
-36*o**2
Suppose -28 = -4*g - 4*t, -4*g + 5*t - 3 = -22. Let y be ((-8)/g)/(1/(-3)). What is the second derivative of -4*i + 3*i**y - 8*i + 6*i**4 wrt i?
108*i**2
Let r(g) = -20*g - 2. Let f be -20*-3*1/6. Let u(j) be the first derivative of j**2/2 + 15. Let b(q) = f*u(q) + r(q). Differentiate b(o) wrt o.
-10
Let l(n) = -n - 13. Let a be l(-14). Let c = 4 + a. Find the second derivative of -12*x**3 - 8*x - 11*x**3 + 23*x**3 - 3*x**c wrt x.
-60*x**3
What is the second derivative of -l + 5*l**2 + 65*l**2 + 2*l**3 - 526 - 109*l**2 wrt l?
12*l - 78
Let j be -34 + -4*3/(-4). Let i = -29 - j. Differentiate -i - 1 + 5*h**3 + 8 - 3*h**3 with respect to h.
6*h**2
Let q = 11 + -21. Let w = q - -16. What is the third derivative of -f**2 - 2*f**6 + 5*f**6 + 0*f**w wrt f?
360*f**3
Let u = -3 - -7. Suppose m - 12 = -2*b - 3*b, 3*b + u = 5*m. What is the second derivative of 0*h**4 - 5*h + h**4 - m*h wrt h?
12*h**2
Differentiate -39 + 1302*w**2 - 1232*w**2 + w - 117 - 162 wrt w.
140*w + 1
Suppose -3*h + 36 = 2*u, 4*h - 37 = 4*u - 3*u. Let t be ((-6)/(-5))/(4/h). Find the third derivative of -a**3 - 5*a**2 + 0*a**3 - t*a**3 wrt a.
-24
Let h(d) be the first derivative of -69*d**2 - 17*d + 117. What is the first derivative of h(b) wrt b?
-138
Let o(k) be the first derivative of -9*k**8/56 - 35*k**4/12 - 3*k - 29. Let x(h) be the first derivative of o(h). Find the third derivative of x(z | {
"pile_set_name": "DM Mathematics"
} |
he highest common divisor of 4927 and 65?
13
Calculate the greatest common divisor of 104 and 88.
8
What is the highest common factor of 276 and 1311?
69
What is the greatest common factor of 306 and 850?
34
Calculate the highest common divisor of 52 and 2678.
26
Calculate the highest common factor of 8 and 332.
4
Calculate the highest common divisor of 55 and 484.
11
What is the greatest common divisor of 1943 and 268?
67
What is the greatest common factor of 14 and 651?
7
What is the greatest common divisor of 10542 and 42?
42
Calculate the highest common divisor of 352 and 5720.
88
What is the highest common divisor of 92 and 1012?
92
What is the greatest common divisor of 133 and 98?
7
What is the greatest common factor of 340 and 160?
20
Calculate the greatest common factor of 590 and 70.
10
What is the highest common factor of 60 and 156?
12
What is the greatest common divisor of 1 and 83?
1
Calculate the highest common factor of 63 and 108.
9
What is the greatest common factor of 36 and 68?
4
Calculate the greatest common factor of 93 and 18.
3
What is the highest common factor of 377 and 29?
29
Calculate the greatest common factor of 243 and 1791.
9
Calculate the greatest common factor of 18 and 48.
6
Calculate the highest common divisor of 805 and 46.
23
Calculate the highest common divisor of 58 and 1.
1
Calculate the greatest common divisor of 352 and 8.
8
Calculate the highest common divisor of 43 and 1376.
43
What is the greatest common divisor of 124 and 682?
62
What is the greatest common factor of 5740 and 10?
10
What is the greatest common divisor of 108330 and 138?
138
Calculate the highest common divisor of 4763 and 11.
11
Calculate the highest common divisor of 26 and 8242.
26
Calculate the greatest common divisor of 79 and 1975.
79
What is the highest common factor of 20 and 830?
10
Calculate the highest common divisor of 12 and 75.
3
Calculate the greatest common divisor of 9 and 2439.
9
Calculate the highest common divisor of 26 and 2366.
26
What is the highest common divisor of 16 and 2864?
16
Calculate the greatest common divisor of 4 and 100.
4
What is the highest common divisor of 8381 and 34?
17
What is the highest common divisor of 35 and 15?
5
Calculate the highest common divisor of 1419 and 645.
129
What is the greatest common factor of 442 and 17901?
221
Calculate the highest common factor of 1189 and 29.
29
What is the highest common divisor of 680 and 15?
5
What is the greatest common divisor of 58 and 6119?
29
What is the greatest common divisor of 24 and 300?
12
Calculate the highest common divisor of 427 and 61.
61
What is the greatest common factor of 21643 and 23?
23
Calculate the highest common factor of 492 and 10209.
123
What is the greatest common divisor of 28 and 452?
4
Calculate the greatest common factor of 15811 and 489.
163
What is the highest common divisor of 80 and 2288?
16
Calculate the highest common factor of 16445 and 195.
65
What is the greatest common divisor of 792 and 22?
22
What is the greatest common factor of 32 and 352?
32
Calculate the highest common divisor of 5340 and 60.
60
What is the greatest common divisor of 628 and 16?
4
What is the highest common factor of 530 and 10?
10
What is the greatest common factor of 77 and 3465?
77
Calculate the highest common factor of 378 and 154.
14
What is the highest common factor of 552 and 144?
24
What is the highest common factor of 1426 and 186?
62
What is the greatest common factor of 75 and 410?
5
What is the greatest common divisor of 3220 and 700?
140
Calculate the highest common factor of 30 and 84.
6
Calculate the greatest common factor of 36 and 24.
12
What is the highest common divisor of 5 and 265?
5
What is the greatest common divisor of 21 and 189?
21
What is the greatest common factor of 59 and 1?
1
Calculate the greatest common factor of 32 and 4544.
32
What is the highest common factor of 375 and 15?
15
What is the greatest common divisor of 18 and 2700?
18
Calculate the highest common divisor of 34 and 289.
17
Calculate the greatest common divisor of 385 and 539.
77
Calculate the greatest common factor of 1030 and 50.
10
What is the greatest common divisor of 1207 and 34?
17
What is the highest common factor of 3861 and 26?
13
What is the greatest common factor of 10249 and 3878?
277
What is the greatest common factor of 39 and 507?
39
Calculate the highest common factor of 48 and 4632.
24
Calculate the greatest common factor of 17281 and 11.
11
What is the highest common factor of 105 and 375?
15
Calculate the greatest common factor of 9 and 441.
9
What is the greatest common divisor of 2 and 2239?
1
What is the greatest common divisor of 1298 and 4071?
59
What is the highest common divisor of 40 and 520?
40
What is the greatest common factor of 7866 and 1368?
342
What is the highest common divisor of 308 and 21?
7
What is the highest common factor of 161 and 7?
7
What is the greatest common divisor of 45 and 144?
9
Calculate the highest common divisor of 106 and 2.
2
Calculate the highest common divisor of 51 and 289.
17
What is the greatest common factor of 146 and 12?
2
What is the greatest common factor of 160 and 590?
10
What is the greatest common divisor of 3904 and 64?
64
What is the highest common divisor of 3 and 48?
3
Calculate the highest common factor of 1508 and 91.
13
Calculate the greatest common divisor of 134 and 4.
2
What is the highest common divisor of 1691 and 95?
19
Calculate the greatest common factor of 35 and 805.
35
What is the greatest common factor of 9125 and 375?
125
What is the highest common factor of 16039 and 43?
43
What is the highest common factor of 88 and 14366?
22
What is the highest common factor of 12 and 66?
6
Calculate the highest common factor of 630 and 36.
18
Calculate the highest common factor of 90 and 1530.
90
Calculate the greatest common factor of 1278 and 18.
18
What is the highest common divisor of 20 and 620?
20
Calculate the greatest common divisor of 1984 and 64.
64
What is the highest common factor of 370 and 592?
74
What is the greatest common factor of 304 and 494?
38
What is the highest common divisor of 361 and 57?
19
Calculate the highest common divisor of 583 and 33.
11
Calculate the greatest common factor of 12 and 282.
6
What is the greatest common factor of 6 and 786?
6
Calculate the highest common factor of 117 and 81.
9
What is the highest common factor of 913 and 11?
11
What is the highest common divisor of 22 and 18?
2
Calculate the greatest common factor of 2 and 200.
2
Calculate the greatest common divisor of 532 and 588.
28
What is the greatest common divisor of 856 and 2675?
107
What is the greatest common factor of 34 and 255?
17
What is the highest common divisor of 11041 and 724?
181
What is the greatest common divisor of 920 and 322?
46
What is the highest common divisor of 119 and 187?
17
Calculate the greatest common factor of 17956 and 4.
4
Calculate the greatest common factor of 7164 and 12.
12
Calculate the highest common divisor of 315 and 1089.
9
Calculate the greatest common factor of 39204 and 792.
396
What is the highest common divisor of 470 and 29422?
94
Calculate the highest common divisor of 8820 and 60.
60
Calculate the highest common factor of 800 and 96.
32
Calculate the highest common factor of 2020 and 60.
20
What is the highest common factor of 318 and 6254?
106
Calculate the greatest common divisor of 1432 and 13246.
358
Calculate the greatest common divisor of 39 and 13.
13
Calculate the greatest common divisor of 43 and 2.
1
What is the highest common divisor of 7161 and 77?
77
Calculate the highest common factor of 22 and 803.
11
What is the greatest common divisor of 3683 and 635?
127
Calculate the highest common factor of 74 and 10.
2
Calculate the highest common factor of 265 and 8480.
265
Calculate the greatest common factor of 88 and 216.
8
What is the highest common factor of 836 and 1342?
22
What is the greatest common divisor of 148 and 518?
74
Calculate the greatest common factor of 1577 and 57.
19
Calculate the greatest common divisor of 87 and 5771.
29
Calculate the greatest common divisor of 572 and 78.
26
Calculate the greatest common factor of 1526 and 14.
14
Calculate the greatest common divisor of 3 | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {t: 7, b: 12}. Give prob of picking 4 b.
165/1292
Two letters picked without replacement from {e: 1, o: 1, s: 2, a: 1}. What is prob of picking 2 s?
1/10
Two letters picked without replacement from {d: 11, w: 3, n: 1}. Give prob of picking 2 w.
1/35
Two letters picked without replacement from jjjjquujjjuujjuuj. What is prob of picking 1 u and 1 q?
3/68
Two letters picked without replacement from {a: 1, p: 1, r: 1, q: 1, i: 1}. What is prob of picking 1 a and 1 p?
1/10
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {x: 1, o: 1, c: 3, i: 1, k: 1}.
1/7
What is prob of picking 1 d and 1 c when two letters picked without replacement from {p: 3, c: 1, u: 1, d: 4, b: 7, r: 2}?
4/153
What is prob of picking 2 g when two letters picked without replacement from {g: 6, e: 4}?
1/3
What is prob of picking 4 k when four letters picked without replacement from {k: 7}?
1
Three letters picked without replacement from ttrono. Give prob of picking 2 t and 1 n.
1/20
Four letters picked without replacement from wwtpwqqqwqqwqwwqq. What is prob of picking 1 p, 2 t, and 1 q?
0
Two letters picked without replacement from zozotzyyoo. Give prob of picking 1 t and 1 o.
4/45
Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jjcjbcccjjjbjjccjj.
20/153
What is prob of picking 1 y and 1 l when two letters picked without replacement from {o: 1, a: 4, l: 3, y: 2, c: 1, p: 1}?
1/11
Calculate prob of picking 1 q and 1 k when two letters picked without replacement from dqkqffkdkffdddfoqk.
4/51
Calculate prob of picking 3 l when three letters picked without replacement from aalwwllaannawanwnala.
1/285
What is prob of picking 2 u when two letters picked without replacement from {u: 2, p: 1, s: 1, n: 1}?
1/10
What is prob of picking 2 m when two letters picked without replacement from {m: 3, e: 3, j: 7}?
1/26
What is prob of picking 2 f and 1 w when three letters picked without replacement from wfrfr?
1/10
Two letters picked without replacement from unnunnu. Give prob of picking 1 u and 1 n.
4/7
Two letters picked without replacement from {x: 2, c: 2, v: 2, m: 1, w: 1, k: 1}. Give prob of picking 1 c and 1 v.
1/9
Calculate prob of picking 1 q, 1 c, and 1 d when three letters picked without replacement from {q: 5, f: 1, c: 7, d: 1}.
5/52
Three letters picked without replacement from vvqppl. Give prob of picking 1 v, 1 l, and 1 p.
1/5
Two letters picked without replacement from {e: 1, f: 10, g: 6}. Give prob of picking 1 e and 1 f.
5/68
Calculate prob of picking 2 z when two letters picked without replacement from zzmzmcnmmmcmn.
1/26
Calculate prob of picking 1 h and 3 c when four letters picked without replacement from hccccxh.
8/35
Calculate prob of picking 2 u and 2 n when four letters picked without replacement from {u: 3, n: 3}.
3/5
Three letters picked without replacement from lvoloollooolovxlv. What is prob of picking 2 l and 1 x?
3/136
Three letters picked without replacement from rrra. Give prob of picking 3 r.
1/4
Two letters picked without replacement from xxxxuxxxxxxxxxxxxxxx. Give prob of picking 2 x.
9/10
Calculate prob of picking 3 c and 1 t when four letters picked without replacement from kctcctkcctcc.
7/33
Two letters picked without replacement from {r: 2, b: 1, d: 6, f: 7, s: 2}. What is prob of picking 1 f and 1 r?
14/153
Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {t: 2, r: 1, o: 1, n: 2, e: 1}.
1/35
Calculate prob of picking 1 f, 1 t, and 1 y when three letters picked without replacement from {t: 3, h: 1, i: 3, f: 1, y: 2}.
1/20
Four letters picked without replacement from opooqvoovoooaoaoovoo. What is prob of picking 2 v, 1 q, and 1 p?
1/1615
Four letters picked without replacement from yaayayayyyayyaya. Give prob of picking 2 a and 2 y.
27/65
What is prob of picking 4 n when four letters picked without replacement from nomnmnmnmnnnnnvnnmm?
55/646
What is prob of picking 1 k and 1 h when two letters picked without replacement from eekh?
1/6
Four letters picked without replacement from {l: 6, p: 2, r: 1, i: 2, w: 4}. Give prob of picking 1 p, 1 r, and 2 w.
4/455
Two letters picked without replacement from {r: 2, n: 1, u: 5, e: 1, k: 4, d: 2}. Give prob of picking 2 r.
1/105
Four letters picked without replacement from rrvvrvovrvvzv. What is prob of picking 1 z, 1 o, 1 v, and 1 r?
28/715
Calculate prob of picking 1 s, 1 r, and 1 p when three letters picked without replacement from {b: 2, r: 8, s: 2, p: 6}.
2/17
Three letters picked without replacement from {l: 3, w: 3, z: 3, a: 1}. What is prob of picking 1 z and 2 w?
3/40
Two letters picked without replacement from qdwdaaabaa. What is prob of picking 1 b and 1 d?
2/45
Four letters picked without replacement from cnnmkkkcpnpuuk. What is prob of picking 1 k, 1 m, and 2 u?
4/1001
Two letters picked without replacement from tselslloeltso. What is prob of picking 1 l and 1 t?
4/39
Two letters picked without replacement from {k: 17, v: 1, f: 1}. What is prob of picking 1 f and 1 k?
17/171
Calculate prob of picking 3 s when three letters picked without replacement from {k: 13, j: 4, s: 3}.
1/1140
What is prob of picking 1 p, 1 h, and 2 y when four letters picked without replacement from pyyppyhpyyphhyppp?
18/119
Two letters picked without replacement from tkxguru. Give prob of picking 1 k and 1 x.
1/21
Three letters picked without replacement from {y: 2, b: 3, p: 4}. What is prob of picking 2 y and 1 b?
1/28
Two letters picked without replacement from {r: 2, f: 2, h: 3, e: 4, p: 6, q: 1}. Give prob of picking 1 p and 1 e.
8/51
Four letters picked without replacement from hozrjjjjjzzjjo. What is prob of picking 1 o, 1 r, 1 j, and 1 h?
2/143
Three letters picked without replacement from vhvvhvvvvvhbhvhvhv. What is prob of picking 3 h?
5/204
Three letters picked without replacement from iiiifiiiiiiiiii. Give prob of picking 2 i and 1 f.
1/5
Four letters picked without replacement from {u: 2, e: 2, f: 1, n: 3, q: 2, i: 4}. What is prob of picking 3 i and 1 n?
12/1001
Two letters picked without replacement from {p: 1, r: 1, l: 1}. What is prob of picking 1 r and 1 p?
1/3
What is prob of picking 2 l and 2 j when four letters picked without replacement from {l: 1, j: 2, g: 1, q: 11}?
0
Three letters picked without replacement from nssnnsnsnnsnsvnnnn. Give prob of picking 3 s.
5/204
Calculate prob of picking 2 y and 2 c when four letters picked without replacement from dycyyyccycycy.
42/143
Two letters picked without replacement from {r: 6, x: 5, i: 1, a: 5}. What is prob of picking 1 r and 1 x?
15/68
Calculate prob of picking 1 g and 2 e when three letters picked without replacement from {b: 2, h: 2, g: 2, e: 3, j: 1, o: 2}.
3/110
Two letters picked without replacement from {g: 2, h: 1, e: 1, s: 8, a: 1, n: 1}. Give prob of picking 1 h and 1 g.
2/91
Four letters picked without replacement from {i: 3, y: 8}. Give prob of picking 2 i and 2 y.
14/55
Three letters picked without replacement from zzzzz. What is prob of picking 3 z?
1
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {c: 5, v: 4, z: 10}.
40/969
Calculate prob of picking 1 a and 1 g when two letters picked without replacement from ggag.
1/2
Calculate prob of picking 4 a when four letters picked without replacement from {m: 5, a: 5}.
1/42
What is prob of picking 2 y and 2 g when four letters picked without replacement from aaygygaxx?
1/126
Calculate prob of picking 2 t and 1 x when three letters picked without replacement from totxoooqqoox.
1/110
Two letters picked without replacement from {m: 7, f: 8, e: 4, q: 1}. Give prob of picking 1 q and 1 f.
4/95
What is prob of picking 1 r and 2 q when three letters picked without replacement from wqvvvqwqrvqqvwwqqw?
7/272
What is prob of picking 1 w, 1 g, and 1 t when three letters picked without replacement from ifgfwgtggfg?
1/33
Calculate prob of picking 2 h and 1 z when three letters picked without replacement from {z: 9, h: 5}.
45/182
Two letters picked without replacement from oozkozkkkkuwzkkkkkz. Give prob of picking 1 u and 1 w.
1/171
What is prob of picking 2 l and 1 v when three letters picked without replacement from {l: 4, | {
"pile_set_name": "DM Mathematics"
} |
sequence eeee.
1001/3060
Three letters picked without replacement from {f: 2, q: 2, e: 1, y: 1, o: 2, w: 5}. What is prob of sequence oqw?
5/429
What is prob of sequence vo when two letters picked without replacement from {v: 2, o: 3}?
3/10
Two letters picked without replacement from {a: 1, x: 2, b: 4, e: 1, t: 2, q: 2}. What is prob of sequence eq?
1/66
What is prob of sequence ye when two letters picked without replacement from yhyhe?
1/10
Four letters picked without replacement from {y: 1, m: 8, o: 1, c: 6}. Give prob of sequence cmcm.
1/26
Four letters picked without replacement from accouuoazuojjuo. What is prob of sequence ozoa?
1/1365
Two letters picked without replacement from kkkkkkkkk. What is prob of sequence kk?
1
What is prob of sequence rddd when four letters picked without replacement from ddddrddd?
1/8
Four letters picked without replacement from {w: 4, d: 2, i: 12, y: 2}. What is prob of sequence iyiw?
44/4845
What is prob of sequence mmmv when four letters picked without replacement from mvmvvmmmmvmmmmmmmvm?
455/3876
What is prob of sequence ilv when three letters picked without replacement from {l: 1, x: 4, v: 4, i: 1}?
1/180
What is prob of sequence ugu when three letters picked without replacement from {u: 8, v: 2, c: 4, g: 3}?
7/170
Four letters picked without replacement from {c: 3, d: 2, t: 1, h: 5, r: 7}. Give prob of sequence hdtr.
7/7344
What is prob of sequence eje when three letters picked without replacement from {j: 1, i: 1, x: 4, g: 1, h: 2, e: 3}?
1/220
What is prob of sequence affc when four letters picked without replacement from ffcjcamccfa?
1/165
What is prob of sequence tten when four letters picked without replacement from {e: 2, x: 10, l: 3, n: 1, r: 2, t: 2}?
1/29070
Calculate prob of sequence obb when three letters picked without replacement from uuoboujbtutjjjjjo.
1/680
Two letters picked without replacement from szniiihiihssiqsnzn. Give prob of sequence nh.
1/51
Calculate prob of sequence xxx when three letters picked without replacement from {l: 2, m: 6, b: 1, r: 5, x: 3}.
1/680
Three letters picked without replacement from {g: 2, q: 1, j: 2, d: 2, s: 1}. What is prob of sequence gsq?
1/168
What is prob of sequence ggze when four letters picked without replacement from {z: 4, e: 4, g: 2}?
2/315
Three letters picked without replacement from zoszigzzo. What is prob of sequence gso?
1/252
Calculate prob of sequence dlc when three letters picked without replacement from ddldzcdu.
1/84
Three letters picked without replacement from {k: 4, q: 7, b: 3}. Give prob of sequence bqq.
3/52
Three letters picked without replacement from vwwwnuwwwwuwvvwnwuw. What is prob of sequence uvn?
1/323
What is prob of sequence lp when two letters picked without replacement from {l: 3, p: 4}?
2/7
Calculate prob of sequence fvmp when four letters picked without replacement from {m: 1, a: 1, z: 1, p: 2, v: 1, f: 2}.
1/420
Calculate prob of sequence cce when three letters picked without replacement from {c: 4, e: 1, t: 1, w: 8, y: 1}.
2/455
Three letters picked without replacement from {z: 5, u: 7, s: 8}. Give prob of sequence zsz.
4/171
Calculate prob of sequence bbb when three letters picked without replacement from bbvvbjbvblbbk.
35/286
Three letters picked without replacement from wwjjwjwjjjzwwjjjjj. What is prob of sequence jww?
55/816
What is prob of sequence wwpp when four letters picked without replacement from wgpwpwp?
3/70
Two letters picked without replacement from {g: 1, s: 2, b: 2, n: 2, d: 1, j: 1}. What is prob of sequence bd?
1/36
Three letters picked without replacement from {z: 2, x: 9}. What is prob of sequence xxz?
8/55
Calculate prob of sequence dd when two letters picked without replacement from wuuddddwuwuwuuw.
2/35
Two letters picked without replacement from mmmt. Give prob of sequence tm.
1/4
Calculate prob of sequence xeo when three letters picked without replacement from jxxeoeexxve.
8/495
What is prob of sequence oo when two letters picked without replacement from jaaoojajojaja?
1/26
Calculate prob of sequence qp when two letters picked without replacement from ppdqpdpdppdqqpdddp.
4/51
What is prob of sequence umkm when four letters picked without replacement from mmgonuk?
1/420
Two letters picked without replacement from fzfzspx. Give prob of sequence zx.
1/21
Calculate prob of sequence bbfb when four letters picked without replacement from {f: 2, b: 6}.
1/7
Two letters picked without replacement from {s: 1, q: 6, x: 5, c: 7}. What is prob of sequence xq?
5/57
Four letters picked without replacement from ururrrrrrurrrruruur. What is prob of sequence rrru?
143/1292
Two letters picked without replacement from xvocvo. Give prob of sequence vc.
1/15
Calculate prob of sequence sii when three letters picked without replacement from {c: 1, m: 2, i: 2, v: 2, s: 1}.
1/168
Three letters picked without replacement from {m: 2, e: 17}. Give prob of sequence eme.
16/171
What is prob of sequence er when two letters picked without replacement from {z: 3, u: 1, e: 1, q: 3, d: 5, r: 2}?
1/105
What is prob of sequence zz when two letters picked without replacement from {a: 1, s: 7, z: 2}?
1/45
Two letters picked without replacement from {k: 2, b: 2, a: 7}. What is prob of sequence kk?
1/55
What is prob of sequence pp when two letters picked without replacement from pppptppptp?
28/45
Three letters picked without replacement from {f: 1, u: 2, y: 1, m: 2, c: 2}. What is prob of sequence fum?
1/84
Two letters picked without replacement from lllwwwllllllwwwwwlw. Give prob of sequence ll.
5/19
What is prob of sequence zk when two letters picked without replacement from {z: 1, k: 1, d: 2, s: 2}?
1/30
Calculate prob of sequence dd when two letters picked without replacement from {a: 1, d: 5, i: 2, t: 5, k: 5}.
10/153
Two letters picked without replacement from qaauuuauaqaaqz. Give prob of sequence qu.
6/91
Two letters picked without replacement from {g: 2, v: 1, m: 7}. Give prob of sequence vm.
7/90
Four letters picked without replacement from {r: 1, m: 3, v: 3, a: 3, j: 1, p: 2}. Give prob of sequence rppa.
1/2860
What is prob of sequence kke when three letters picked without replacement from akeekkkkreraekrarrk?
28/969
Two letters picked without replacement from kikg. What is prob of sequence ik?
1/6
What is prob of sequence msss when four letters picked without replacement from {j: 1, m: 3, t: 1, s: 2}?
0
Three letters picked without replacement from {o: 9, f: 1, t: 1, m: 6}. What is prob of sequence mmm?
1/34
Two letters picked without replacement from {p: 16, n: 4}. What is prob of sequence pp?
12/19
What is prob of sequence xa when two letters picked without replacement from {u: 1, x: 1, a: 2, j: 3}?
1/21
Two letters picked without replacement from {b: 6, p: 4, k: 9}. What is prob of sequence kb?
3/19
Four letters picked without replacement from vwvzlzwqqwzwlrrvzl. What is prob of sequence rrzq?
1/4590
Calculate prob of sequence ds when two letters picked without replacement from {l: 2, p: 1, d: 1, s: 1, z: 1, y: 1}.
1/42
Two letters picked without replacement from wwwwwwwwwwwwe. What is prob of sequence ew?
1/13
Two letters picked without replacement from wzkobkb. What is prob of sequence wb?
1/21
What is prob of sequence qaw when three letters picked without replacement from {c: 6, q: 3, b: 1, w: 3, a: 5}?
5/544
Two letters picked without replacement from {n: 1, h: 2, m: 4, o: 1}. What is prob of sequence mm?
3/14
Calculate prob of sequence odxn when four letters picked without replacement from odznx.
1/120
Calculate prob of sequence qfdq when four letters picked without replacement from dfqurqqqq.
5/756
What is prob of sequence dva when three letters picked without replacement from aiiiiqadiva?
1/330
What is prob of sequence ss when two letters picked without replacement from {s: 4, e: 3, n: 1}?
3/14
Calculate prob of sequence www when three letters picked without replacement from {w: 15, o: 4}.
455/969
What is prob of sequence jw when two letters picked without replacement from {f: 1, d: 1, w: 1, j: 12}?
2/35
Two letters picked without replacement from kxxxxxxxkkxxxxkxxk. Give prob of sequence xk.
65/306
What is prob of sequence brd when three letters picked without replacement from {d: 1, b: 4, r: 2}?
4/105
Ca | {
"pile_set_name": "DM Mathematics"
} |
2 - 55675*c**4 + 2*c - 2 + 2*c**3 to the form h*c**4 + v*c + i*c**2 + j*c**3 + w and give h.
1
Express 4*u - 2*u + 0*u + ((0 + 0 + 1)*(1 + 0 + 1) - 2 + 0 + 4 + 2 + 2 - 6)*(1 - 17 - 16)*(5*u + 27*u + 6*u) as c + t*u and give t.
-2430
Rearrange -3*k**3 - k**3 + 2*k**3 + (-3*k + 4*k + 3*k - 1)*(11*k**2 - 64034*k + 64028*k - 7*k**2 + 81) to the form v*k**3 + q*k + x + r*k**2 and give r.
-28
Express -67*f - 2*f**2 + 3541 + 0*f**2 + f**2 + 123*f - 54*f as w*f + g + c*f**2 and give g.
3541
Rearrange (-3*k - 4792 + 2326 + 2367)*(-2*k**3 + 6*k + 0*k + 4*k**3) to q*k**2 + c*k**3 + p*k + z*k**4 + l and give q.
-18
Rearrange 815*o + 255*o + 718*o + 663*o to y*o + u and give y.
2451
Rearrange -c**2 - 39477*c**3 - 4 + 5 - 75*c + 39480*c**3 to the form l*c**2 + t*c**3 + f*c + v and give t.
3
Express -2*g - g**2 + 2*g + (-3*g + 2*g + 5*g)*(-3*g + 5*g - 5*g) + 99 - 10*g**2 - 99 + 3*g**2 + 4*g**2 - 5*g**2 in the form d*g + o*g**2 + h and give o.
-21
Rearrange -8461*o - 10347*o - 4366*o + 7162*o - 6918*o to the form h + d*o and give d.
-22930
Express (271*j**3 + 392*j**3 - 147*j**3)*(18*j + 12*j - 10*j) in the form w*j + q*j**3 + n*j**2 + d*j**4 + p and give d.
10320
Express 2*o**3 - 208*o + 31*o**2 + 3 + 233*o - 25*o in the form m*o + s + k*o**3 + b*o**2 and give k.
2
Rearrange 3 - 19*l - 25*l - 20*l - 127*l**2 + 126*l**2 + 75*l to r*l**2 + g*l + z and give g.
11
Rearrange (5*v**2 - 3*v**2 - 3*v**2)*(4*v**2 - 2*v**2 - 3*v**2) - 152*v + 42 + 153*v + 803 + 2*v**4 to n + g*v**3 + x*v**4 + z*v + q*v**2 and give g.
0
Rearrange -4*o + 3*o + 0*o - 1 + 1 - o + (-5*o + 3*o + o)*(1 - 4 + 5) + (52 + 32 - 29)*(4*o + 11*o - 3*o) to r + h*o and give h.
656
Rearrange -2 + 3 + 61*y**2 + 75*y**3 - 11*y**2 + 176*y**3 - 31*y**2 to i*y**3 + x + h*y + m*y**2 and give x.
1
Express 2 - 278206*o**3 - 11*o + 278210*o**3 - 196*o as c*o**2 + z*o**3 + f*o + y and give f.
-207
Rearrange 6*u**4 - 57*u**3 - 145*u**3 + 17*u**4 + 23762*u**2 + 9*u**4 - 23763*u**2 to the form c + w*u**2 + m*u**3 + q*u**4 + z*u and give w.
-1
Express (-11 + 12*l + 11)*(-3 - 1 + 5 + 24 - 24 - 65 + (0 + 1 - 3)*(0 + 0 - 2) - 1 + 1 + 1) in the form k*l + x and give k.
-708
Express -15*h + 8 + 23 + 31 - 8*h + 18*h in the form x*h + v and give v.
62
Express 97253 - 97253 - 11749*h as i + d*h and give d.
-11749
Express -1 - 4*s**4 - 47*s**2 + 2*s - 102*s**2 + 356326*s**3 - 356323*s**3 in the form l*s**2 + h*s**3 + t + k*s**4 + f*s and give t.
-1
Rearrange (2*w + 0 + 0)*(-519 - 724*w**2 - 724*w**2 + 1439*w**2 + (4*w**2 - 7*w**2 + w**2)*(-2 - 1 + 2)) to c*w**2 + v + u*w**3 + o*w and give u.
-14
Express (-3*o - o**2 + 3*o)*(-1 + 286*o + 0 + 1330*o) - o**3 + 3*o**3 - 3*o**3 as c + h*o + z*o**2 + x*o**3 and give x.
-1617
Rearrange (-57064 - 62767 + 128100)*(-2*i + i + 0*i) to o + d*i and give d.
-8269
Express 12 + 3 - 12 + 1663*h**2 - 2 + 4634*h**2 as v*h**2 + d + u*h and give v.
6297
Rearrange (j**2 + 2*j**2 - 5*j**2)*(-2*j + 5*j - j) + 0*j**3 + 3*j**3 - 5*j**3 + 5*j**2 + 99*j**3 + 15 - 7 - 95*j**3 to v*j**2 + f + q*j + o*j**3 and give f.
8
Express (-15*n**2 + 12*n**2 + 15*n**2)*(-3*n - 2*n + 4*n)*(n + 0 + 0) - n**4 - 143*n**4 - 11*n**4 in the form z*n**4 + i*n**2 + d*n + f + v*n**3 and give z.
-167
Rearrange 42*w + 547*w**2 + 38*w - 116*w**2 - 82*w to b*w**2 + m + c*w and give c.
-2
Rearrange 156 + 34 - 24 + 41 + 22*p**2 to the form w*p**2 + x*p + k and give w.
22
Rearrange 16*s**3 - 9*s - 11*s**3 + 24*s**3 + 0 + 34*s - 4 to h*s + y + q*s**3 + r*s**2 and give h.
25
Rearrange ((1 + 3 - 3)*(1 - 2 - 1) - 2 - 3 + 3 + 0 - 1 + 4 + 3 + 0 - 5)*(-100*a + 118 + 2*a**2 - 220 + 104) to the form u*a**2 + z*a + k and give k.
-6
Rearrange (2 - 2 + 3*w**3)*(6*w + 50 - 50 + (-w + w + 5*w)*(0 + 2 - 1)) to n*w**4 + y*w + f + u*w**2 + a*w**3 and give y.
0
Express -6518 + 2195 + 2199 + 4*n + 2212 in the form d + j*n and give d.
88
Rearrange 93 + 231 - 2*z**3 - 416 + 96 + z to t*z**3 + y*z + c*z**2 + b and give b.
4
Rearrange (233*v + 188*v - 689*v - 1007*v)*(0*v + 2*v - 3*v) to r*v**2 + u + n*v and give r.
1275
Express 20*b - 18*b + 481 + 3618 + 398 + 2338 in the form a + q*b and give q.
2
Express -6640*j + 3 - 5063*j - 3 - 111*j in the form r*j + m and give r.
-11814
Express ((-177 + 102 - 598)*(3 + 0 + 0) + (-1 + 2 - 2)*(-5 + 4 - 1) - 1 + 1 + 1)*(-2 - x + x - 2*x) in the form w + y*x and give w.
4032
Express (5*q - 2*q - 2*q)*(-5*q + 2 - 2) + 178*q - 3*q**2 - 371*q + 130*q as j*q**2 + l*q + r and give j.
-8
Rearrange (0 + 0 + 9*t)*(54*t**3 + 65*t**3 - 15*t + 72*t**2 - 120*t**3) to the form k*t + f + x*t**3 + a*t**2 + r*t**4 and give r.
-9
Express -2*l**2 + 32*l - 32*l + (-14 + 10*l + 14)*(0*l - 4*l + 2*l + (4 - 2 + 0)*(2 - 2 - 2*l) - 1 + 1 - 2*l) as r*l**2 + d*l + a and give r.
-82
Rearrange 0*b**3 + 2*b**3 - 4*b**3 + 7*b - 15*b - b**3 - 15 + 7*b + (3 + 6 - 3)*(13*b**3 - 45*b**3 - 23*b**3) to h + u*b**3 + o*b**2 + j*b and give h.
-15
Express (-3 + o**2 + 3)*(-6 + 3 + 2) + 4*o**2 - 18*o**2 - 7*o**2 + (2 - 2 + 2*o)*(-47 + 47 + 37*o) in the form f + v*o**2 + b*o and give v.
52
Express -548*m**2 + 40*m**2 + 2271*m**2 + 1922*m**2 + 323*m**2 in the form n + a*m**2 + q*m and give n.
0
Rearrange (0*r - 2*r + 0*r)*(-r**2 - 2*r**2 + 2*r**2) + 1 - 35*r**3 - 42205*r + 21094*r + 21108*r + 3*r**2 to the form l*r**3 + u*r**2 + c + t*r and give u.
3
Express (-4*u**2 + 10*u**2 - 2*u**2)*(-3*u + 3*u - u) - 1104*u**3 + 2670*u**3 - 1032*u**3 in the form c*u**2 + o*u + r*u**3 + a and give r.
530
Express (211*h**2 + 124*h - 124*h)*(-28*h + h + 6*h) in the form g*h**3 + k*h + l + y*h**2 and give g.
-4431
Rearrange (-2*d - 6 + 6)*(-1100*d + 26 + 32 - 58)*(4*d - 15 + 15) to m*d**2 + y*d + j + l*d**3 and give j.
0
Rearrange (-87 + 16 - 37)*(-78*d**2 + 131*d**2 - 118*d**2) to g + b*d**2 + y*d and give b.
7020
Rearrange -7*h**3 + 19*h - 19*h + (-3 + 5 - 3)*(-h**2 - h**2 + 4*h**2)*(105*h + 11*h + 97*h) to the form k + u*h**2 + o*h + d*h**3 and give d.
-433
Rearrange 5382*s - 13404*s + 3379*s to z*s + w and give z.
-4643
Express (m**2 + 0*m**2 + 0*m**2)*((-685 - 700 + 284)*(-m**2 + 0 + 0) + 3*m**2 + 0*m + 0*m) in the form d*m**2 + a*m**4 + p*m + w*m**3 + q and give a.
1104
Rearrange -33 + 10 + 8*o**3 + 11 - 6*o - 42*o**4 + 4*o + 10 to the form q + d*o**4 + w*o**2 + g*o**3 + p*o and give p.
-2
Express 53*j + j**4 - 3*j**2 + 4*j**2 - 347 + 38*j - 88*j in the form c*j + q*j**3 + u*j**2 + b*j**4 + f and give u.
1
Express (3*g - 3*g + g + (2 - 7 + 0)*(-160*g + 75*g + 128*g))*(2*g - 1 + 1) in the form q*g**2 + n + j*g and give j.
0
Express (-162*z - 76*z - 92*z)*(1 + 0 + 1) + (1 - 1 - 2*z)*(2 - 5 + 2) in the form l + k*z and give k.
-658
Express 335 + 5*l**2 - 335 + 726*l**3 + 253*l - 725*l**3 as t*l**2 + o + h*l + p*l**3 and give h.
253
Rearrange -4123*w + 4125*w - 14 + 50*w**2 + 28 - 12 to the form v + g*w + p*w**2 and give g.
2
Express 52 + 12*n**3 - 53 - 9*n**3 + n**2 - 3*n**3 - 141*n - n**4 as j*n**3 + c*n**2 + g + f*n**4 + t*n and give g.
-1
Rearrange (o**2 + o**2 - o**2)*(-208*o + 189*o - 35 + 209 + 120) to b + q*o + c*o**2 + x*o**3 and give x.
-19
Express (3*k - k - k + (k + 0 + 0)*(-3 + 2 + 2) - 5*k + 5*k + 2*k)*(-111 + 201 - 417)*(-4 + 5 - 3)*(2 + 1 + 2)*(2*k + 0*k - k) as q*k**2 + m + c*k and give q.
13080
Express -8 + 2 - 46*p + 277*p + 6 + 7 in the form s + z*p and give s.
7
Express -33 - 114 - 42 + 4*d - 136 - 7 as a*d + w and give a.
4
Rearrange -5773 + 1695 - 2344 - 3*x + 2*x to q + j*x and give q.
-6422
Rearrange 131 - 114 - 21 + 2*z**3 - 13*z to the form b*z**3 + w*z**2 + m*z + x and give m.
-13
Express j + 0*j - 104538 + 100160 + j + 2*j**2 as c*j**2 + i + a*j and give i.
-4378
Express -c**4 - 541*c + 541*c - 22 + 23*c**3 - 21*c**3 - 2*c**2 in the form w*c + x*c**4 + d + f*c**2 + a*c**3 and give d.
-22
Express 0*q + 0*q + 2*q**3 + (0 + 0 - q**2)*(-5*q + q + q) + 292887 - 292887 + 2718*q**3 as j*q**2 + t*q**3 + x*q + u and give t.
2723
Rearrange 0*a + a - 10 + 8 + (1 + 0 + 0)*(14 - 14 + 4*a) - 95*a + 284*a - 101*a to the form m + s*a and give m.
-2
Rearrange 2002*i**3 + 2001*i**3 + 19 - 10*i + 2005*i**3 - 6013*i**3 to the form x*i + k*i**3 + f + h*i**2 and give x.
-10
Rearrange -88122*y**2 + 88121*y**2 - 1 + 4*y - 3*y + 74*y**4 + y to the form j*y + x*y**3 + n + d*y**2 + g*y**4 and give g.
74
Rearrange 5622*p**2 - 11*p**3 + 26 - 2*p - 5622*p**2 to z*p**3 | {
"pile_set_name": "DM Mathematics"
} |
west common multiple of 180 and 1980?
1980
Find the common denominator of 12/143 and 43/66.
858
Find the common denominator of -109/12 and -61/60.
60
What is the lowest common multiple of 376 and 376?
376
Calculate the least common multiple of 9 and 707.
6363
Calculate the lowest common multiple of 8827 and 1.
8827
What is the common denominator of -53/105 and -71/69?
2415
Find the common denominator of -113/42 and 137/60.
420
What is the least common multiple of 468 and 468?
468
Calculate the smallest common multiple of 4 and 268.
268
Find the common denominator of 46/21 and 22/1113.
1113
Find the common denominator of -13/81 and 125/198.
1782
Calculate the common denominator of 15/38 and 89/6.
114
What is the least common multiple of 1 and 2088?
2088
What is the lowest common multiple of 255 and 18?
1530
Calculate the lowest common multiple of 624 and 408.
10608
Calculate the common denominator of -47/24 and -35/684.
1368
Find the common denominator of -65/2 and 109/434.
434
Calculate the common denominator of -41/9 and -5.
9
Calculate the lowest common multiple of 8944 and 172.
8944
Calculate the common denominator of 62/335 and 35/1541.
7705
Calculate the least common multiple of 22 and 165.
330
Calculate the common denominator of 89/234 and -31/2775.
216450
Calculate the common denominator of -117/1270 and -53/381.
3810
What is the least common multiple of 10 and 30?
30
Find the common denominator of 15/8 and -49/1138.
4552
What is the lowest common multiple of 88 and 5?
440
What is the smallest common multiple of 174 and 428?
37236
Calculate the common denominator of 121/460 and -26/207.
4140
Find the common denominator of 73/87 and 75/4.
348
Find the common denominator of -69/76 and -77/152.
152
What is the common denominator of 47/150 and 43/13?
1950
Find the common denominator of -22/15 and -77/45.
45
Calculate the common denominator of -37/8 and 81/28.
56
Calculate the lowest common multiple of 45 and 14115.
42345
Calculate the least common multiple of 55 and 90.
990
Calculate the lowest common multiple of 494 and 5.
2470
What is the smallest common multiple of 146 and 9?
1314
What is the lowest common multiple of 968 and 7?
6776
What is the least common multiple of 192 and 22?
2112
Calculate the common denominator of -58/21 and -47/7.
21
Calculate the smallest common multiple of 4 and 28.
28
Calculate the common denominator of 107/34 and -25/204.
204
Calculate the common denominator of 11/355 and -57/355.
355
Calculate the least common multiple of 581 and 747.
5229
Calculate the lowest common multiple of 344 and 21.
7224
Calculate the smallest common multiple of 24 and 27.
216
What is the smallest common multiple of 18 and 296?
2664
Calculate the common denominator of -83/4266 and -139/18.
4266
What is the least common multiple of 560 and 4800?
33600
Calculate the lowest common multiple of 54 and 45.
270
Find the common denominator of 4/79 and -15/26.
2054
What is the common denominator of 43/68 and 137/102?
204
Find the common denominator of -71/522 and 25/198.
5742
Calculate the lowest common multiple of 4 and 44.
44
Find the common denominator of -109/1080 and -89/540.
1080
Find the common denominator of 93/112 and -11/144.
1008
Find the common denominator of -5/18 and -47/58.
522
Find the common denominator of -7/143 and 5/66.
858
What is the least common multiple of 20 and 104?
520
Find the common denominator of 89/2608 and 97/2608.
2608
What is the common denominator of 109/200 and 117/1000?
1000
Calculate the smallest common multiple of 78 and 104.
312
Calculate the smallest common multiple of 189 and 42.
378
What is the common denominator of -43/224 and -97/56?
224
Calculate the common denominator of -149/12342 and 73/51.
12342
What is the lowest common multiple of 890 and 445?
890
What is the common denominator of 101/18 and 77/18?
18
What is the lowest common multiple of 18 and 413?
7434
What is the common denominator of 89/36 and -107/144?
144
What is the smallest common multiple of 19 and 76?
76
Calculate the common denominator of 41/556 and 91/556.
556
What is the common denominator of 47/150 and -73/675?
1350
What is the common denominator of 74/9 and 25/2298?
6894
Calculate the common denominator of -73/60654 and 59/12.
121308
What is the least common multiple of 14 and 654?
4578
What is the common denominator of 95/231 and -56/495?
3465
What is the common denominator of -50/33 and 16/339?
3729
Calculate the smallest common multiple of 126 and 108.
756
Calculate the smallest common multiple of 6 and 4371.
8742
Calculate the lowest common multiple of 240 and 68.
4080
Calculate the lowest common multiple of 52 and 546.
1092
Find the common denominator of -32/377 and -77/58.
754
Calculate the lowest common multiple of 390 and 975.
1950
What is the common denominator of -31/211 and 137/18?
3798
Calculate the common denominator of -14/27 and -43/90.
270
What is the least common multiple of 162 and 60?
1620
Find the common denominator of -59/2 and 31/20.
20
Calculate the least common multiple of 3488 and 2180.
17440
Find the common denominator of -19/12 and 35/12.
12
What is the lowest common multiple of 32 and 232?
928
What is the least common multiple of 172 and 56?
2408
Calculate the lowest common multiple of 1070 and 24.
12840
Find the common denominator of -61/5 and -123/700.
700
Calculate the least common multiple of 72 and 96.
288
Find the common denominator of -67/12 and -61/12.
12
Find the common denominator of 29/56 and 13/308.
616
Find the common denominator of 77/16 and -119/36.
144
What is the common denominator of -32/7 and -63/34030?
238210
Calculate the lowest common multiple of 189 and 420.
3780
What is the common denominator of -51/80 and -59/72?
720
Calculate the lowest common multiple of 873 and 54.
5238
What is the common denominator of 82/8645 and 73/11115?
77805
What is the common denominator of -51/379 and 23/2?
758
Calculate the common denominator of 123/40 and 104/4725.
37800
Calculate the lowest common multiple of 288 and 384.
1152
Calculate the smallest common multiple of 24 and 64.
192
Calculate the common denominator of 14/99 and -37/1782.
1782
Calculate the common denominator of 87/20 and -33/19.
380
Find the common denominator of -49/40 and -2/205.
1640
What is the lowest common multiple of 10 and 757?
7570
Find the common denominator of 113/42 and 57/8.
168
Calculate the lowest common multiple of 7 and 4807.
33649
Calculate the smallest common multiple of 4 and 9868.
9868
Find the common denominator of -32/235 and -7/12455.
12455
What is the common denominator of 61/4341 and -49/9?
13023
Calculate the lowest common multiple of 3311 and 903.
9933
Find the common denominator of -1/70 and -125/42.
210
What is the least common multiple of 2285 and 457?
2285
Find the common denominator of 149/42 and -13/144.
1008
What is the smallest common multiple of 9 and 2404?
21636
Calculate the smallest common multiple of 143 and 44.
572
Find the common denominator of 6/25 and 89/10.
50
What is the least common multiple of 6 and 284?
852
Calculate the common denominator of 25/10436 and -127/36.
93924
Find the common denominator of -28/3 and 46/75.
75
What is the smallest common multiple of 1890 and 270?
1890
Find the common denominator of -7/38 and 75/134.
2546
What is the common denominator of -58/15 and -97/156?
780
Calculate the common denominator of -23/43 and -107/6.
258
Find the common denominator of 17/36 and -46/81.
324
Calculate the common denominator of -121/4086 and 79/6.
4086
Calculate the common denominator of -71/14 and 193/3120.
21840
What is the common denominator of -37/2037 and -47/210?
20370
Calculate the least common multiple of 144 and 15.
720
What is the common denominator of 3/2 and -86/21?
42
What is the common denominator of -5/34 and -3/2?
34
Find the common denominator of -143/90 and 115/156.
2340
What is the common denominator of -30/383 and 89/1532?
1532
What is the lowest common multiple of 16 and 120?
240
Calculate the common denominator of -63/4468 and 13/4.
4468
Calculate the common denominator of 17/126 and -103/658.
5922
Find the common denominator of -83/150 and 19/210.
1050
Find the common denominator of 18/59 and 37/8.
472
What is the lowest common multiple of 720 | {
"pile_set_name": "DM Mathematics"
} |
21).
3/8
Calculate ((-234)/(-75) - 3)*9*25/15.
9/5
(-240)/360 - (3/4)/(18/20)
-3/2
Calculate 2 - 40/25 - 8701/565.
-15
Calculate -124 - -119 - -1*3.
-2
Calculate 1544/1158 + 157/(-84) + (-4)/(-14).
-1/4
What is 14 + 0/(-16) + -1 + 2 + -5?
10
Evaluate (418/(-22) - -17)/(5 - -2 - -2).
-2/9
What is the value of (-290)/(-725) + (-618)/(-30)?
21
What is the value of 2/7*(49/7 - (-5 - -19))?
-2
Evaluate (-15)/3 + -1 + (1 - (-5)/5).
-4
Evaluate (-2 + 49/14)*1*1.
3/2
212/126 + 98/441 - 2
-2/21
What is 21 - (12 - 11/121*11)?
10
What is (-4)/(-7)*84/168?
2/7
What is the value of (-1)/(30/50*1/6)?
-10
What is the value of (-4)/(-2) - (-7 + 16) - 4411/(-627)?
2/57
Calculate (21/(-10))/(40/(4200/(-189))).
7/6
Calculate ((-3)/(-9))/(1827/7047).
9/7
6*-3*250/(-1125)
4
What is the value of (-9)/1710*4*15?
-6/19
((-717)/1195)/((-4)/((-80)/(-44)))
3/11
Calculate (-81)/20 + 107 + -103.
-1/20
What is the value of (1 + -2)/((-56)/(-4)*(-5)/(-10))?
-1/7
Evaluate 52/(-195) + 2 + 36/(-15).
-2/3
Evaluate 2 - (-38)/(-10)*(-12 + (-34)/(-2)).
-17
Calculate -3 + 1 + (-1 - 2) + (-169 - -162).
-12
What is the value of 1*(-164)/6*(-255)/(-170) - -12?
-29
What is the value of (-150)/80 - (-51)/(-136)?
-9/4
Evaluate (360/450)/((-84)/45).
-3/7
(-318)/46 - ((-4)/30 - 16480/2400)
2/23
3*(-1)/21 + (-17)/(714/(-468))
11
What is the value of (-16)/4*(-2)/4 - (-1939)/(-277)?
-5
Calculate -1 - (-8 - 1) - -1*(-54 + 47).
1
What is the value of (-2)/3 - (-8 + (-42)/(-54)*-6)?
12
Calculate 23/(12*(-3)/36).
-23
-5 - (2/(-18) - (-1124)/(-252))
-3/7
Evaluate -1 + 4 + (-1736)/2232.
20/9
Evaluate 18 - 36/33*16.
6/11
(-1 - -28)*232/(-348)
-18
What is (-7)/56*0*(-11)/(-22)?
0
Calculate (-14 - 2016/(-147)) + ((-272)/28 - -1).
-9
Evaluate ((160/(-28))/8)/(12/105).
-25/4
Calculate (15 + -20)/(5 + -11 + 1).
1
Evaluate (15*(-8)/(-84))/((-5)/(-35)).
10
Calculate -16 + 6 + 8 + 14 + 8/(-1).
4
What is the value of 12/5 - (-5291)/(-2405)?
1/5
What is (-2)/(-5) - ((-5040)/1950)/(-8)?
1/13
What is 4/(-3 + 5)*-2*(-4)/(-28)?
-4/7
What is 5/(((-1)/6)/1) + 927 + -921?
-24
What is the value of 10 - ((-82)/21 + 696/(-7308))?
14
Calculate (-84)/(-630) - (352/(-60) - -3).
3
What is 46/3 - 10/(-8)*156/(-585)?
15
Evaluate ((-690)/1104)/((-15)/144).
6
What is the value of (-440)/(-330) - ((-10)/(-3))/(-5)?
2
(((-18)/(-4))/(-3))/(3 - (-84)/(-32))
-4
What is (804/72)/(-67)*(-9 - -33)?
-4
What is the value of 1242/(-92) - (-108)/((-12)/(-1))?
-9/2
Calculate (-6 - -7)/(1/11) + -6 + 6.
11
Calculate 140/(-10) + 24 + -1.
9
Calculate ((-3)/(-4))/(120/1120).
7
What is 7*-3*(56/(-252))/(4/6)?
7
What is the value of (286/(-11) + 15)*27/(-135)?
11/5
Evaluate 2916/2673 + (-60)/55.
0
14/(-1)*((-30952)/(-371))/(-73)
16
Evaluate 17*48/(-102)*(-1)/6*-2.
-8/3
5*(-20)/(-41400)*-12
-2/69
6/20 + (244663/(-190))/79
-16
108/(-22) + 8 + -3
1/11
((-6)/(-5))/(48/64*8/(-130))
-26
Calculate (((-2)/18)/(31/372))/(39/9).
-4/13
Calculate ((-133)/(-45) + (-195)/351)*(-5)/(-33).
4/11
Evaluate -2 + (27 + -25 - -18).
18
Evaluate (-16)/(-18) + 156/(-182).
2/63
Evaluate -8 + (1 + -23)/(-9*44/198).
3
Calculate (0 - -2) + (-39 - -30).
-7
What is the value of 104/105 + 193/((-28371)/126)?
2/15
-1*2/11 + (-1240)/440
-3
What is (-100)/(-8)*44/(-385)*-7?
10
What is the value of (-38)/(-190) + 1134/105?
11
Calculate 34/6 - (2*(24 + -30) + 18).
-1/3
Evaluate 23/18 + -25 + 5902/234.
3/2
Evaluate 8 - (-2)/(-1) - (-65)/(-2080)*32.
5
What is 7 + -2*5/(-10)*-19?
-12
Calculate 3*(-24)/54 - 99/(-135).
-3/5
Evaluate (6/12)/((-13)/312*66).
-2/11
Evaluate (-34 - -30)/((-140)/(-2)).
-2/35
Evaluate (4/(-5))/(388/1940).
-4
What is the value of 2*-15 - (-111 - -91)?
-10
2 - -12 - (-91)/49*-7
1
What is the value of -6*((-3)/(-4) - (25/20 - 3))?
-15
What is the value of (0 - 5) + (6/111 - 327/(-111))?
-2
(-7)/(-6)*-2 - (-10 + (-2142)/(-216))
-9/4
Evaluate 15 + (21660/(-45))/19 + 5.
-16/3
34/5 + (2574/(-330) - (-7)/1)
6
Evaluate (-7)/(140/12) + (-3)/5*14.
-9
What is the value of 5*45/(-150)*10/3?
-5
Calculate -15 - ((-46172)/221)/14.
-1/13
What is (-24 - 1596/(-56))*1/(-3)?
-3/2
(-6)/(-304) - -6*7/(-336)
-2/19
What is 3/(((-10)/7)/(24/(-189)))?
4/15
What is 1498/107*9/10*(-46)/(-161)?
18/5
What is the value of (-70)/(-8) + -2 + 15*(-14)/280?
6
Calculate (-7 - 1)/((-830)/498*18/105).
28
What is ((-90)/(-90))/(-5 + -14)?
-1/19
(-7024)/6146 - (-26)/(-14)
-3
What is ((-2)/16 + (-155)/(-280))/((-14)/(-294))?
9
Calculate -30*(-13)/(585/(-30)).
-20
-48 + 92 + -49 + 6
1
What is the value of ((-21)/35)/(19/57*459/(-10))?
2/51
Calculate (60/(-2520))/((-4)/(-12)).
-1/14
133/(-7) - (1/(-12) + (-560)/192)
-16
Evaluate 1/(-5)*1 - 92911/(-5105).
18
(-3)/7*((-728)/78 + 9)
1/7
5 + (-1 - 0 - 8) + 5
1
Calculate (-10 + (-36)/(-3))*11/(-6).
-11/3
Calculate (36/(-27))/(((-288)/405)/(-8)).
-15
What is -1*(4/1 - 2)/(-8)?
1/4
What is the value of (1/(0 + 5))/(9/(2 - -403))?
9
Evaluate ((-2)/(-4))/((-41 + 19)/176).
-4
Evaluate ((-2)/(-12))/(56/(-560)).
-5/3
What is the value of (-183)/(-72) + -1 - 66/176?
7/6
2 + (48/30*4)/(20/(-50))
-14
What is (11/88)/((-10)/20)?
-1/4
What is the value of (-36)/60 - 48/(-40)*(-2)/(-4)?
0
(-2432)/(-57)*66/88
32
What is 14 + 1219/(-92) - (-4 + 1412/304)?
2/19
7695/(-315) - (650/1750 - (-1)/5)
-25
What is the value of (-357)/(-105) + 68/(-20)?
0
What is the value of 32/(-240)*(-19 - (-6321)/336)?
1/40
Calculate 16 + (-152 - -161) + -19*1.
6
Evaluate ((-1)/(-2) + 1)/(7/(-126)).
-27
(8 - 17) + 8 + 4 + -6
-3
Calculate ((-15)/132)/((-1936)/10648).
5/8
((-5)/30 + ((-255)/18)/17)*-8
8
(-3360)/258 + (-338)/(-364)*14
-1/43
What is 16/1008*-7*((-2)/(-2))/1?
-1/9
(504/(-294))/((-24)/56)
4
What is the value of ((3/63)/(2/(-6)))/((-48)/(-168))?
-1/2
What is the value of (4 + -7)*(-29)/(-319)?
-3/11
Calculate -8 + 83/10 - 5/(-10).
4/5
Evaluate (-4)/(-30) - (236/(-10))/(8 + -5).
8
What is (-41 + -65 + 119)/(-1 + 5)?
13/4
(0/(-5))/35 + (-4)/26
-2/13
What is the value of ((-261)/145)/((-3)/(-20))?
-12
Evaluate (172/(-115))/(-4) - 8/(-960)*-24.
4/23
-35 + 44 - -3*(-21)/9
2
Evaluate (2 - (-48)/(-10))/(((-912)/95)/(-24)).
-7
What is the value of (-400)/35*(-105)/66 + 4/(-22)?
18
Evaluate (10/(-4))/(8550/(-456)).
2/15
Calculate (5/2 + 2)/((-19)/38)*-1.
9
What is (-13)/(-3) - (-13455)/1755?
12
What is the value of 1/(-6) + 114/252?
2/7
Calculate (-2100)/154 + 0 - -14.
4/11
Calculate (3/2 - -2 - (-115 + 118))/(-5).
-1/10
What is 297*(-70)/(-33075) - ((-4)/7 - -1)?
1/5
Evaluate ((-30)/75)/(24/(-5)).
1/12
Calculate (9538/380 - 25)*-1*2.
-1/5
Evaluate 10900/775 + 4 - 18.
2/31
What is the value of (54/9 - 6)/2 + 11?
11
Calculate (-8 - -5)*(-3 + -1).
12
Calculate 6666/(-352) - -19 - (-30)/544.
2/17
What is the value of (3477/(-549))/((-1)/(-3))?
-19
Calculate (87 - 90)/(2/4).
-6
Evaluate ((-111)/(-21) + -5)*(-84)/(-72).
1/3
Evaluate ((-116)/(-20) - 5)/(8/140).
14
Calculate 13 + ((-21)/(-84))/(3/(-228)).
-6
Calculate (-10)/20*150/(-15) + (-6)/1.
-1
What is the value of -5 - ((-3)/(-5 + 2) + (-504)/80)?
3/10
-12*((-35)/(-175) + (-195)/100)
21
What is the value of ((-2)/4)/(46*(-46)/(-16928))?
-4
What is the value of 8557/344 - 338/13?
-9/8
-11 + 0 + (15570/(-519))/(3/(-4))
29
Calculate ((-2160)/3168 - 4/(-22)) + 1.
1/2
(192429/(-8721) - -22) + 8/68
1/19
What is the value of ((-14)/4)/((-365)/(-730) - 1/(-2))?
-7/2
Calculate -3 - 10 - (-6844)/464.
7/4
What is (84/30)/((-16)/(-40)) + (2 - 5)?
4
What is (147/35 + -6)/((-117)/(-1365))?
-21
(-8 + (-8 - -15))*(-1)/((-46)/(-6))
3/23
What is ((-80)/(-72))/(1184/(-666))?
-5/8
What is 62/(-18)*-9 + -17?
14
What is (-12)/42 + 836/(-1974) + (-46)/(-69)?
-2/47
What is the value of (-7)/(-12 - -5) + (-29 - -16)?
-12
What is 24/(-136) - (-122)/17?
7
Calculate (-16 + ((-56)/(-14) - -13))*(-4)/(-14).
2/7
What is the value of -13 + -6 + 36 - 10?
7
-1 - ((-9)/630*-415 - (7 - 0))
1/14
What is the value of -12*((2295/(-120))/(-17))/(3/(-2))?
9
What is ((-42)/4)/((-18284)/11754)?
27/4
What is the value of 7 - 3 - (-22)/(-99) - 4/(-18)?
4
Calculate 3/(28/(-1344)*-8).
18
-5*(5 - (-1030)/(-200))
3/4
What is (-182)/78*3 + 178/22?
12/11
What is the value of (-202)/(-18) + (4/21)/(36/(-42))?
11
What is the value of 1900/(-925) - -2 - (-708)/(-3330)?
-4/15
-4 - (60/(-25) + (-27)/45)
-1
9/24 - 0*10/280
3/8
Calculate 1444/1083*27/(-2).
-18
What is the value of -10 + 13 + -4 + | {
"pile_set_name": "DM Mathematics"
} |
115, 128 in ascending order.
4, 115, 128
Sort -1, -4, -371, 2 in descending order.
2, -1, -4, -371
Sort -18, 0.4, 0, 662, -2, 2 in decreasing order.
662, 2, 0.4, 0, -2, -18
Sort -2, 2, 5, 15, 4, -24 in decreasing order.
15, 5, 4, 2, -2, -24
Sort 2/19, -1, 1196/7 in decreasing order.
1196/7, 2/19, -1
Put -2/17, 4, -5, -0.04, 1 in ascending order.
-5, -2/17, -0.04, 1, 4
Put 5, -2/277, 13, -0.19 in decreasing order.
13, 5, -2/277, -0.19
Put -712, -5, 5, 6 in descending order.
6, 5, -5, -712
Put -2/15, 2, 51264 in descending order.
51264, 2, -2/15
Put -0.3, 0.3, -17372 in decreasing order.
0.3, -0.3, -17372
Put 6, 4, 0, 210, 24 in ascending order.
0, 4, 6, 24, 210
Put 5, 2, -31, -5, 0 in decreasing order.
5, 2, 0, -5, -31
Put -1.1, 2, -341, 4/47 in descending order.
2, 4/47, -1.1, -341
Sort -9, 5, -4, 0, -526, -0.2 in descending order.
5, 0, -0.2, -4, -9, -526
Sort -2/3, 0.3, 146.1, 0, -7 in increasing order.
-7, -2/3, 0, 0.3, 146.1
Sort -0.4, 4, 11/591 in decreasing order.
4, 11/591, -0.4
Sort -2/3117, 2, 6.1 in decreasing order.
6.1, 2, -2/3117
Sort 18, -9/8, 4, 9 in descending order.
18, 9, 4, -9/8
Sort 0, 31, -151, 2, 5 in increasing order.
-151, 0, 2, 5, 31
Sort -2/27, 3, -2.3.
-2.3, -2/27, 3
Sort -4/435, -3/7, -5, -1/4, 0.33 in decreasing order.
0.33, -4/435, -1/4, -3/7, -5
Sort 5, -58.9, 2/13 in decreasing order.
5, 2/13, -58.9
Sort 0.043, 31, -2/5.
-2/5, 0.043, 31
Sort 135, 0.3, -5, -3, -12, 1 in ascending order.
-12, -5, -3, 0.3, 1, 135
Put -4, 5, -12, 8, 6 in increasing order.
-12, -4, 5, 6, 8
Sort -5/9878, -0.3, 0 in ascending order.
-0.3, -5/9878, 0
Put 348, 2, 4, 17, -2 in decreasing order.
348, 17, 4, 2, -2
Sort 1, 53, -1, 0, -4, -2 in decreasing order.
53, 1, 0, -1, -2, -4
Sort 0, 5, -920, -9, 1, -3 in decreasing order.
5, 1, 0, -3, -9, -920
Put 0, -8, -9144, 4 in increasing order.
-9144, -8, 0, 4
Sort 18, 5, -13, 3, 1, -4 in ascending order.
-13, -4, 1, 3, 5, 18
Put 9, -1, 132, 44 in increasing order.
-1, 9, 44, 132
Sort 4, 26, -5, 0 in decreasing order.
26, 4, 0, -5
Sort -27, -261, 11 in descending order.
11, -27, -261
Put -4, 5, 1, -8961, -41 in decreasing order.
5, 1, -4, -41, -8961
Put 1, -6, -169, 2 in decreasing order.
2, 1, -6, -169
Put -15, -3455, -1, -3 in increasing order.
-3455, -15, -3, -1
Put 9, -4, -9942 in ascending order.
-9942, -4, 9
Sort -3, -126, 76, 4, -5 in increasing order.
-126, -5, -3, 4, 76
Sort -1/4, -5, -46/3, -1/16.
-46/3, -5, -1/4, -1/16
Put 9, 2, -637, -1 in ascending order.
-637, -1, 2, 9
Sort -58, 5, 6254 in descending order.
6254, 5, -58
Put 1, 0.3, 0.4, 2, 7/1087 in decreasing order.
2, 1, 0.4, 0.3, 7/1087
Sort -27, -91, -6, -0.1, -1/2 in descending order.
-0.1, -1/2, -6, -27, -91
Sort -0.18, 1.15, -5, 13, 4 in ascending order.
-5, -0.18, 1.15, 4, 13
Put 317, 2, 3, 5, 99 in descending order.
317, 99, 5, 3, 2
Put -111, 199, -0.5 in decreasing order.
199, -0.5, -111
Put -151, 4, -38 in ascending order.
-151, -38, 4
Put -2, -3, 31, -6, 4 in increasing order.
-6, -3, -2, 4, 31
Sort 5, 1.9, -2/127, -2/9.
-2/9, -2/127, 1.9, 5
Put -2/13, 537, 19, -0.5, 1, -4 in increasing order.
-4, -0.5, -2/13, 1, 19, 537
Sort 1368, 1, -1, -13.
-13, -1, 1, 1368
Sort 1/6, -2, -262, -8, 5 in descending order.
5, 1/6, -2, -8, -262
Put 1, 1/131408, -3, -2/3 in decreasing order.
1, 1/131408, -2/3, -3
Sort -3, 0, 93, 3 in increasing order.
-3, 0, 3, 93
Sort -2/13, -3/1649, -2/19 in descending order.
-3/1649, -2/19, -2/13
Put -28, 2, 1, 3, -19 in decreasing order.
3, 2, 1, -19, -28
Sort -2, -11, 4, 50, 10.
-11, -2, 4, 10, 50
Put -1, 0.4, 12, -6.1 in descending order.
12, 0.4, -1, -6.1
Sort 2715.5, 0, -1/2, -2/15 in increasing order.
-1/2, -2/15, 0, 2715.5
Sort -1/3, -67, -0.479 in increasing order.
-67, -0.479, -1/3
Sort 5/2, 2, -6401, 0.1.
-6401, 0.1, 2, 5/2
Put -82, -13, 1, -5 in decreasing order.
1, -5, -13, -82
Sort 7, -4, 3, 1, 20 in increasing order.
-4, 1, 3, 7, 20
Sort 4, -5, -28, 3, 5 in decreasing order.
5, 4, 3, -5, -28
Put -2, -1, -3, 0, 9 in descending order.
9, 0, -1, -2, -3
Put 0.04, 2.289, -5, 2, 0.5 in decreasing order.
2.289, 2, 0.5, 0.04, -5
Sort 6/29, 6, -0.044, -6/11 in decreasing order.
6, 6/29, -0.044, -6/11
Put 489, 0, 2 in decreasing order.
489, 2, 0
Sort 5, 3, -5, -119, -73 in ascending order.
-119, -73, -5, 3, 5
Sort -0.06, -111, -76/5 in ascending order.
-111, -76/5, -0.06
Sort 1, 18, 2, 4, -228.
-228, 1, 2, 4, 18
Sort 127, -1, 0.62 in decreasing order.
127, 0.62, -1
Put -3539, 3, -2, 0 in descending order.
3, 0, -2, -3539
Put 908, -61, -3, 5 in increasing order.
-61, -3, 5, 908
Put -2, 3907, 6, -5 in increasing order.
-5, -2, 6, 3907
Put -11, 275, 44 in decreasing order.
275, 44, -11
Sort 6600, -5, 3 in descending order.
6600, 3, -5
Sort 7, 1, 6, -1396 in decreasing order.
7, 6, 1, -1396
Sort 1, -1, 6, -3, 4 in decreasing order.
6, 4, 1, -1, -3
Sort -3/7, 5.6, 3, -4/3, 30, 13 in ascending order.
-4/3, -3/7, 3, 5.6, 13, 30
Put -0.5, 97, -4/5, 11/7, -3/4 in increasing order.
-4/5, -3/4, -0.5, 11/7, 97
Put -0.1131, -15/2, 2 in decreasing order.
2, -0.1131, -15/2
Sort -4, 4, -5, 39372, -8 in decreasing order.
39372, 4, -4, -5, -8
Put 17, 4, 620 in ascending order.
4, 17, 620
Sort 5, 2, -35, 14.
-35, 2, 5, 14
Put -10, 1360, 4, 3 in descending order.
1360, 4, 3, -10
Sort -17, -9, -3612 in increasing order.
-3612, -17, -9
Sort -6, 2/15, 3, -64, 41 in increasing order.
-64, -6, 2/15, 3, 41
Put -9, -0.3, -0.06, -12/11, 3 in decreasing order.
3, -0.06, -0.3, -12/11, -9
Put -1, 2/13, -3, 4246.3, -5, 4 in ascending order.
-5, -3, -1, 2/13, 4, 4246.3
Sort 2, -1, 8, 3/5, -1/8, 1.2 in decreasing order.
8, 2, 1.2, 3/5, -1/8, -1
Sort 3/7, 1423, -3, 0.5, 7/4 in descending order.
1423, 7/4, 0.5, 3/7, -3
Sort -27637, -9/5, 0.5 in descending order.
0.5, -9/5, -27637
Sort 1580, 0.3, 1/7, -5/11.
-5/11, 1/7, 0.3, 1580
Sort 13, 11971/5, 0 in increasing order.
0, 13, 11971/5
Put 18, 1, 9, 0, 27 in decreasing order.
27, 18, 9, 1, 0
Sort 2, 66, 114, 0, -1, -3 in increasing order.
-3, -1, 0, 2, 66, 114
Sort 41, -3, -2, -38 in descending order.
41, -2, -3, -38
Put -1, 21/11, -2, -3/5, -31, -0.4 in decreasing order.
21/11, -0.4, -3/5, -1, -2, -31
Sort 0.3, -0.5, -6, -0.4, 477 in increasing order.
-6, -0.5, -0.4, 0.3, 477
Sort -502190, 5, 3 in ascending order.
-502190, 3, 5
Put -100, 4, -48, -3, 3 in decreasing order.
4, 3, -3, -48, -100
Put -6, 4, 240, -2 in decreasing order.
240, 4, -2, -6
Sort 1/5, -21, -2, 0.03203.
-21, -2, 0.03203, 1/5
Sort -5, -2, 1, 4, -36, 518 in descending order.
518, 4, 1, -2, -5, -36
Put 12, -5, -362, 3 in descending order.
12, 3, -5, -362
Sort -1, -5, -61.
-61, -5, -1
Put 17, -2/13, 146/7, 3, -0.1, -2 in ascending order.
-2, -2/13, -0.1, 3, 17, 146/7
Put 3, 14, -1039, 8, 0 in descending order.
14, 8, 3, 0, -1039
Put -37, -2/5, -2802, -0.1 in ascending order.
-2802, -37, -2/5, -0.1
Sort 29, -2, 2/15, -16, 5, -1/4 in descending order.
29, 5, 2/15, -1/4, -2, -16
Sort 0.3, -11608, -5.
-11608, -5, 0.3
Put 1, 4, -25, 22 in decreasing order.
22, 4, 1, -25
Put 281, 13, -2 in decreasing order.
281, 13, -2
Sort -182, -1, -4, 18, -2/23.
-182, -4, -1, -2/23, 18
Sort -1.295, 5, 0, -106.
-106, -1.295, 0, 5
Sort -61366, 3, -1/6.
-61366, -1/6, 3
Sort 567, -2, 3465 in descending order.
3465, 567, -2
Put 6, -30, 249 in decreasing order.
249, 6, -30
Put -5, 1, -1394192 in descending order.
1, -5, -1394192
Sort 2, 4, 8, 12, 1, 50 in descending order.
50, 12, 8, 4, 2, 1
Sort 3, -7, 4, 42.
-7, 3, 4, 42
Sort 0.4, -0.1, 8, -0.2, 0.5.
-0.2, -0.1, 0.4, 0.5, 8
Sort -5, -20011, 1.
-20011, -5, 1
Put -11, -997, 5, 4, -1 in descending order.
5, 4, -1, -11, -997
Put -336, -0.2, 547 in descending order.
547, -0.2, -336
Sort -2/7, 2/15, 1/2, -50, 2, -4 in ascending order.
-50, -4, -2/7, 2/15, 1/2, 2
Put 2/23, 0.2, -0.7559 in decreasing order.
0.2, 2/23, -0.7559
Sort -4, -1, 0.1, 4, 4.9, -3 in descending order.
4.9, 4, 0.1, -1, -3, -4
Sort -55, -80, -5, 7 in decreasing order.
7, -5, -55, -80
Sort 226, 16, -50 in decreasing order.
226, 16, -50
Put -211, 24, -4 in descending order.
24, -4, -211
Put 126748, 1, -4, -0.4 in decreasing order.
126748, 1, -0.4, -4
Put 4, 5, -2, -52, -143, -4 in descending order.
5, 4, -2, -4, -52, -143
Sort 2479, 1, -7 in decreasing order.
2479, 1, -7
Put 1, 36, 4, 38 in decreasing order.
38, 36, 4, 1
Sor | {
"pile_set_name": "DM Mathematics"
} |
c**2 + 10*c - 2
What is the k'th term of 58, 316, 974, 2230, 4282?
33*k**3 + 2*k**2 + 21*k + 2
What is the x'th term of -72, -75, -78?
-3*x - 69
What is the i'th term of -105, -104, -91, -60, -5, 80, 201, 364?
i**3 - 6*i - 100
What is the q'th term of 106, 92, 78, 64, 50?
-14*q + 120
What is the h'th term of -218, -221, -224, -227, -230?
-3*h - 215
What is the w'th term of 3, 8, 17, 30, 47, 68, 93?
2*w**2 - w + 2
What is the w'th term of -41, -53, -73, -101?
-4*w**2 - 37
What is the z'th term of -7, -18, -29, -40?
-11*z + 4
What is the c'th term of 18472, 18469, 18456, 18427, 18376, 18297?
-c**3 + c**2 + c + 18471
What is the i'th term of 140, 203, 278, 371, 488, 635?
i**3 + 56*i + 83
What is the k'th term of -18, -67, -162, -315, -538, -843, -1242?
-2*k**3 - 11*k**2 - 2*k - 3
What is the d'th term of 6, -16, -72, -174, -334, -564, -876?
-2*d**3 - 5*d**2 + 7*d + 6
What is the g'th term of 204, 415, 616, 801, 964, 1099?
-g**3 + g**2 + 215*g - 11
What is the l'th term of 5, 63, 159, 293, 465, 675, 923?
19*l**2 + l - 15
What is the q'th term of 11, 4, -3, -10, -17?
-7*q + 18
What is the o'th term of -30, -35, -42, -51?
-o**2 - 2*o - 27
What is the b'th term of 7, 27, 45, 61?
-b**2 + 23*b - 15
What is the l'th term of 29, 35, 43, 53, 65, 79?
l**2 + 3*l + 25
What is the t'th term of -80, -73, -66, -59?
7*t - 87
What is the h'th term of 2, 1, 14, 47, 106, 197?
h**3 + h**2 - 11*h + 11
What is the o'th term of 540, 2140, 4802, 8526, 13312, 19160, 26070?
531*o**2 + 7*o + 2
What is the t'th term of 170, 335, 500, 665, 830?
165*t + 5
What is the b'th term of 6, 35, 112, 261, 506, 871?
4*b**3 + b + 1
What is the l'th term of 13, 9, 1, -11, -27, -47, -71?
-2*l**2 + 2*l + 13
What is the g'th term of 104, 425, 970, 1745, 2756?
g**3 + 106*g**2 - 4*g + 1
What is the y'th term of 3633, 3634, 3635?
y + 3632
What is the d'th term of 4389, 4380, 4357, 4314, 4245, 4144, 4005?
-d**3 - d**2 + d + 4390
What is the h'th term of -17, -19, -37, -83, -169, -307, -509, -787?
-2*h**3 + 4*h**2 - 19
What is the m'th term of -61, -24, 73, 260, 567?
5*m**3 + 2*m - 68
What is the q'th term of 511, 505, 487, 451, 391, 301, 175, 7?
-q**3 + q + 511
What is the q'th term of -36, -38, -40, -42, -44?
-2*q - 34
What is the f'th term of -45, -95, -147, -201, -257, -315?
-f**2 - 47*f + 3
What is the j'th term of -329, -645, -949, -1235, -1497, -1729, -1925, -2079?
j**3 - 323*j - 7
What is the k'th term of -22, -136, -250, -364, -478?
-114*k + 92
What is the m'th term of -15616, -15619, -15622, -15625?
-3*m - 15613
What is the s'th term of -27, -30, -25, -6, 33, 98, 195?
s**3 - 2*s**2 - 4*s - 22
What is the a'th term of -54, -100, -146?
-46*a - 8
What is the w'th term of 123, 468, 1039, 1836, 2859, 4108, 5583?
113*w**2 + 6*w + 4
What is the y'th term of -202, -409, -628, -865, -1126?
-y**3 - 200*y - 1
What is the f'th term of -117, -106, -87, -60, -25, 18?
4*f**2 - f - 120
What is the m'th term of 599, 1207, 1827, 2465, 3127?
m**3 + 601*m - 3
What is the o'th term of -41, -30, -5, 40, 111, 214, 355?
o**3 + o**2 + o - 44
What is the w'th term of -1622, -1620, -1618?
2*w - 1624
What is the h'th term of -16, -8, 6, 26, 52?
3*h**2 - h - 18
What is the z'th term of -1516, -1514, -1512, -1510, -1508?
2*z - 1518
What is the o'th term of 437, 901, 1367, 1835, 2305, 2777, 3251?
o**2 + 461*o - 25
What is the k'th term of -30, -53, -90, -141?
-7*k**2 - 2*k - 21
What is the w'th term of 166, 164, 162, 160?
-2*w + 168
What is the u'th term of 174, 164, 142, 102, 38, -56?
-u**3 - 3*u + 178
What is the q'th term of 293, 580, 867, 1154, 1441?
287*q + 6
What is the i'th term of 211, 227, 243?
16*i + 195
What is the v'th term of 146, 140, 132, 122, 110, 96, 80?
-v**2 - 3*v + 150
What is the q'th term of 34, -40, -236, -614, -1234, -2156, -3440?
-10*q**3 - q**2 - q + 46
What is the u'th term of 25, 107, 287, 601, 1085?
6*u**3 + 13*u**2 + u + 5
What is the s'th term of -54, -169, -284, -399, -514, -629?
-115*s + 61
What is the q'th term of 459, 451, 443?
-8*q + 467
What is the i'th term of 35, 151, 343, 611?
38*i**2 + 2*i - 5
What is the x'th term of 2, -33, -94, -181, -294?
-13*x**2 + 4*x + 11
What is the a'th term of -2465, -2458, -2447, -2432, -2413?
2*a**2 + a - 2468
What is the w'th term of 11, 45, 95, 161, 243?
8*w**2 + 10*w - 7
What is the u'th term of -1885, -1895, -1905, -1915, -1925, -1935?
-10*u - 1875
What is the z'th term of -4, -1, 4, 11?
z**2 - 5
What is the m'th term of -51, -28, 9, 60, 125?
7*m**2 + 2*m - 60
What is the f'th term of 41, 85, 129, 173?
44*f - 3
What is the g'th term of -30, -31, -34, -39, -46, -55?
-g**2 + 2*g - 31
What is the p'th term of 39, 44, 53, 66, 83, 104, 129?
2*p**2 - p + 38
What is the y'th term of -28, -25, -18, -7?
2*y**2 - 3*y - 27
What is the w'th term of 1460, 2926, 4392, 5858?
1466*w - 6
What is the t'th term of -17, -18, -33, -68, -129?
-t**3 - t**2 + 9*t - 24
What is the u'th term of 1, -8, -21, -38, -59, -84?
-2*u**2 - 3*u + 6
What is the d'th term of -24, -39, -52, -63, -72, -79?
d**2 - 18*d - 7
What is the z'th term of 37, 33, 3, -71, -207?
-3*z**3 + 5*z**2 + 2*z + 33
What is the m'th term of 4682, 9365, 14048, 18731, 23414, 28097?
4683*m - 1
What is the u'th term of 48, 44, 40, 36, 32, 28?
-4*u + 52
What is the g'th term of -114, -227, -340, -453?
-113*g - 1
What is the a'th term of 76, 153, 228, 301?
-a**2 + 80*a - 3
What is the j'th term of -511, -516, -531, -562, -615, -696, -811, -966?
-j**3 + j**2 - j - 510
What is the y'th term of 754, 753, 752, 751, 750, 749?
-y + 755
What is the g'th term of 73, 68, 65, 70, 89, 128?
g**3 - 5*g**2 + 3*g + 74
What is the s'th term of 125, 118, 107, 92, 73, 50?
-2*s**2 - s + 128
What is the x'th term of 5128, 5044, 4950, 4840, 4708, 4548?
-x**3 + x**2 - 80*x + 5208
What is the z'th term of -6, 27, 76, 147, 246, 379, 552, 771?
z**3 + 2*z**2 + 20*z - 29
What is the j'th term of -87, -90, -99, -114?
-3*j**2 + 6*j - 90
What is the z'th term of -318, -319, -320?
-z - 317
What is the n'th term of 42, 114, 316, 714, 1374, 2362?
11*n**3 - n**2 - 2*n + 34
What is the r'th term of 28, 50, 68, 70, 44, -22, -140?
-2*r**3 + 10*r**2 + 6*r + 14
What is the n'th term of 51, 54, 57, 60, 63?
3*n + 48
What is the c'th term of -1355, -2704, -4053, -5402?
-1349*c - 6
What is the b'th term of 15, 37, 59, 81, 103?
22*b - 7
What is the h'th term of 295, 592, 889, 1186, 1483, 1780?
297*h - 2
What is the r'th term of 260, 544, 850, 1190, 1576?
2*r**3 - r**2 + 273*r - 14
What is the x'th term of 253, 248, 237, 220?
-3*x**2 + 4*x + 252
What is the n'th term of -30, -18, -6, 6, 18?
12*n - 42
What is the h'th term of 617, 616, 615, 614, 613, 612?
-h + 618
What is the i'th term of -251, -269, -283, -293, -299, -301, -299?
2*i**2 - 24*i - 229
What is the y'th term of -17, -15, -13, -11, -9, -7?
2*y - 19
What is the f'th term of -24, -31, -24, 3, 56, 141, 264, 431?
f**3 + f**2 - 17*f - 9
What is the j'th term of 18, 27, 48, 87, 150, 243, 372?
j**3 + 2*j + 15
What is the c'th term of 423, 822, 1221?
399*c + 24
What is the x'th term of -239, -238, -237, -236?
x - 240
What is the x'th term of -24, -27, -30, -33, -36?
-3*x - 21
What is the z'th term of 21, 12, 1, -12, -27, -44, -63?
-z**2 - 6*z + 28
What is the z'th term of -723, -2976, -6739, -12018, -18819, -27148, -37011?
-z**3 - 749*z**2 + z + 26
What is the b'th term of 235, 455, 675, 895, 1115?
220*b + 15
What is the z'th term of -310, -319, -326, -325, -310, -275, -214, -121?
z**3 - 5*z**2 - z - 305
What is the a'th term of -97, -102, -107, -112, -117?
-5*a - 92
What is the o'th term of 6, 29, 90, 207, 398?
3*o**3 + o**2 - o + 3
What is the b'th term of 17, 38, 59, 80, 101, 122?
21*b - 4
What is the t'th term of -7, -20, -33, -46, -59?
-13*t + 6
What is the l'th term of -146, -157, -164, -167?
2*l**2 - 17*l - 131
What is the p'th term of 423, 451, 499, 567, 655, 763?
10*p**2 - 2*p + 415
What is the o'th term of 5220, 5221, 5222, 5223?
o + 5219
What is the q'th term of 387, 786, 1211, 1668, 2163?
q**3 + 7*q**2 + 371*q + 8
What is the h'th term of 523, 515, 487, 427, 323, 163, -65?
-2*h**3 + 2*h**2 + 523
What is the r'th term of 75, 413, 985, 1797, 2855, 4165?
r**3 + 111*r**2 - 2*r - 35
What is the o'th term of 51, 160, 257, 336, 391, 416, 405?
-o**3 + 116*o - 64
What is the k'th term of 18, | {
"pile_set_name": "DM Mathematics"
} |
+ 1070, 3*z + 853 = 4*w. What are the prime factors of w?
7, 31
Let l be 0/7 + 6/(-2). Let s = -1 - l. Suppose -5*n - s*d + 95 = 0, 2*d - 61 = -n - 2*n. What are the prime factors of n?
17
Let i(g) = 262*g**2 - 1 - 251*g**2 - 2 - 8 - 5*g - g**3. List the prime factors of i(8).
3, 47
Let q(v) = -v**3 + 6*v**2 - 4*v + 3. Let a be q(4). Let t = a - 20. What are the prime factors of (-186)/(-3)*t/(-2)?
31
Let g(r) be the third derivative of -3*r**4/8 - 3*r**3/2 - r**2. Suppose -k + 10 = -y, -2*k + 25 = -4*y - k. What are the prime factors of g(y)?
2, 3
Let y(q) = -q**3 + 17*q**2 + 33*q + 46. List the prime factors of y(15).
991
Let z = -61 - -13. Let l = 45 - z. What are the prime factors of l?
3, 31
Suppose 0*t + 4*s - 4 = 2*t, 4*t + 3*s = -8. Let h(d) be the second derivative of -11*d**3/6 - 3*d**2/2 + 9*d. What are the prime factors of h(t)?
19
Suppose 2679 = -3*c + 4941. What are the prime factors of c?
2, 13, 29
Let w(r) = -3*r + 34. Let f be w(-18). Let z = f + -53. List the prime factors of z.
5, 7
Suppose -58 = 5*j - 5*s - 2103, 407 = j + s. What are the prime factors of j?
2, 3, 17
Let d(m) = 135*m + 81. What are the prime factors of d(9)?
2, 3
Let h be ((-10)/4)/((-1)/2). Suppose -4*u - 31 = x - 2*u, -43 = x + h*u. Let i = x + 65. What are the prime factors of i?
2, 3, 7
List the prime factors of ((-7947)/(-27))/(((-2)/24)/(-1)).
2, 883
Suppose 3*s + 271 = 4*n - 16, 2*n - 366 = 4*s. Let v = s + 252. List the prime factors of v.
163
Let r be 40/60*9/2. Suppose -13 = r*f - 316. What are the prime factors of f?
101
Let i(o) = -39*o**3 + 8*o**2 + 7*o + 5. Let j(v) = v**2 + v + 1. Let q(y) = i(y) - 5*j(y). List the prime factors of q(-1).
2, 5
Let k(g) = 232*g - 10 - 224*g + 27. List the prime factors of k(16).
5, 29
Let p = 478 - 262. Suppose -6*x + p = -2*x. What are the prime factors of x?
2, 3
Let z(f) = -f**2 + 3*f + 5. Let t be z(0). Suppose -6 = -t*i + 9, 5*h + 5*i - 310 = 0. What are the prime factors of h?
59
Suppose 14445 = 29*y - 2*y. What are the prime factors of y?
5, 107
Let n(q) = 45*q**3 - q**2. List the prime factors of n(2).
2, 89
Let t be (12/10)/((-12)/(-40)). Suppose t*s - 223 = -3*r, -4*s + 3*r = -s - 162. What are the prime factors of s?
5, 11
Suppose -9 = -5*o + 2*l - 5*l, -o - 2*l - 1 = 0. Suppose o*i = 10*i - 931. What are the prime factors of i?
7, 19
Let s = -2122 + 3211. What are the prime factors of s?
3, 11
Let t = -156 - -147. Let s = 13 - 29. Let w = t - s. List the prime factors of w.
7
Let o(n) = -n**2 + n - 39. Let r be o(0). Let f = 0 - r. Suppose 2*k = -2*s + 30 + 36, 4*s = -k + f. What are the prime factors of k?
31
List the prime factors of 1042 - (-12)/(-108)*0.
2, 521
Let v = -1001 - -1785. What are the prime factors of v?
2, 7
Let i(q) = 2*q + 9. Let v be i(-4). Let z be (-4)/(v - 3) + 2. Suppose -4*x + 144 = -4*a, z*x - 2*a - 130 = -5*a. List the prime factors of x.
2, 17
Let w(p) be the first derivative of -2*p**2 - p - 4. Let u be w(-1). Suppose 4*a = -u*c + 58, 0*c + 5*a + 36 = 4*c. List the prime factors of c.
2, 7
Let w be -2 + 2*(-2)/(-4). Let f = w + 6. List the prime factors of f.
5
Let k be -94*3/(-6)*1. Suppose -46*a - 198 = -k*a. What are the prime factors of a?
2, 3, 11
Suppose 0 = 5*q - 5, -2*q = -h + 8 + 13. Suppose h = 3*o - 16. Let j = 71 - o. What are the prime factors of j?
2, 29
Let g be (6/(-5))/((-2)/5). Suppose -2*z = g*b - 113, 3*b - 89 = z + 3*z. What are the prime factors of b?
5, 7
Let q(l) = -127*l - 393. List the prime factors of q(-21).
2, 3, 379
Let p = 5 - -9. Let u = p - 8. Let g(l) = 2*l**2 - 8*l + 2. List the prime factors of g(u).
2, 13
Suppose p + 290 = -p. Let q = 90 + p. Let u = q - -83. What are the prime factors of u?
2, 7
Let p = 18 + -12. Let d = p + -3. Suppose -5*k = 5, 0*r - 2*r + d*k = -19. What are the prime factors of r?
2
Let g(o) = -o**3 - 12*o**2 - 11*o + 3. Let a be g(-11). Suppose a*t - 1400 = -4*t. Suppose 2*l + 6 = -4, 0 = 5*u - l - t. What are the prime factors of u?
3, 13
Let b(z) = -2*z**2 - 11*z + 3. Let j be (-2)/(-4) + (-209)/22. Let k be b(j). Let h = -5 - k. What are the prime factors of h?
5, 11
Let t be 806/13 + 2/1. Let h = t - 50. List the prime factors of h.
2, 7
Let j(q) = -28*q - 39. Let u be j(-16). Suppose 2*l = -3*y - 3 + 402, 0 = 2*l + y - u. List the prime factors of l.
3, 23
Suppose -2*r = 5*f + 2 - 18, -4*f + 2 = -2*r. Suppose 0 = -d - f*d + 81. Let w = d + -12. List the prime factors of w.
3, 5
Suppose 1 = m - 2. Suppose 5*o + 207 = m*p, 2*p - 3*p + 70 = -2*o. Suppose -3*r = 2*x + r - p, 3*r = -2*x + 61. What are the prime factors of x?
2, 13
Let d be 6 + 2 + -3 + 0. Suppose -24 = d*r - 9, 0 = -5*n - 5*r + 25. What are the prime factors of n?
2
Suppose -2*o = b - 461, -b + o = 2*b - 1348. List the prime factors of b.
11, 41
Suppose 49*j + 10*j = 5605. List the prime factors of j.
5, 19
Suppose -2*f - 2 + 0 = 0, -3*f - 9 = -3*u. Suppose 0 = -n - 3*c + 14, u*n + n - 3 = 4*c. Suppose -84 = n*t - 8*t. What are the prime factors of t?
2, 7
Suppose -3 = 4*u - 11. Suppose u + 21 = q. Let x = -4 + q. What are the prime factors of x?
19
Let s(p) = -p - 1. Let h be s(0). What are the prime factors of -51*(h + -3 + 3)?
3, 17
Suppose 4*o - 6916 = -5*h, 18*h - 13*h = o + 6896. List the prime factors of h.
2, 3, 5, 23
Let c be (20/(-30))/(2/66). Let g = c + 44. What are the prime factors of g?
2, 11
Let w(m) = 29*m + 14. Let p be w(-7). List the prime factors of (5/3)/((-9)/p).
5, 7
Suppose 4*a + a - 25 = 0. Suppose -a = -3*u + 1. Suppose -s + u*s = 2. List the prime factors of s.
2
Let v be (20/(-15))/(1/(-6)). Let f(d) = d**3 - 7*d**2 - d + 11. Let o be f(v). Suppose 12 = -4*a, a + o = 4*w - 0*a. What are the prime factors of w?
2
Let l = -67 + 70. List the prime factors of 5/((-20)/(-288)) + l/3.
73
Let d = -8 - -12. List the prime factors of (d - 7)/((-2)/4).
2, 3
Let q(g) = g**3 - 9*g**2 + 10*g - 12. Let l be q(8). Suppose -l*u = -0*u - 64. What are the prime factors of u/(-24) + 50/3?
2
Let g be (-1*(-4 - -1))/1. Let a be (9/(-6))/(g/(-102)). Let p = -22 + a. What are the prime factors of p?
29
Let c = 9 - 1. Let t(d) be the second derivative of d**3/6 - 3*d**2/2 + 43*d. List the prime factors of t(c).
5
Let y(s) = s**2 + 7*s + 4. Let a be y(-5). Let k = a + 8. Suppose 0*f = k*f - 12. List the prime factors of f.
2, 3
Let c(l) = -l**2 - 20*l + 8. Let v(i) = 3*i**2 + 40*i - 17. Let r(x) = -5*c(x) - 2*v(x). List the prime factors of r(8).
2, 3, 5
Suppose -5*p = -j - 2*j + 18, 9 = -3*j - 4*p. Let r(g) = -7*g**2 + 4*g + 8. Let q be r(3). What are the prime factors of (q + j)*(-1)/2?
3, 7
List the prime factors of 20/5 + (349 - -1).
2, 3, 59
Let h(u) = 50*u + 1. Let r(m) = m**2 + 4*m - 9. Let s be r(-6). What are the prime factors of h(s)?
151
Let g = 2701 - 1354. List the prime factors of g.
3, 449
Let k be 8/28 - (-36)/21. Suppose -r - s = k - 1, -5 = 5*s. Suppose 2*f + r - 14 = 0. List the prime factors of f.
7
Let x(p) = p**2 + p + 14. Let a(v) = v**2 - v - 2. Let c be a(2). Let l be x(c). Suppose -o + 43 = -l. What are the prime factors of o?
3, 19
Suppose -2*i + 5*w + 136 = i, 0 = -5*w - 25. Suppose 4*v = -3*m + 307, 163 = 2*m + 5*v - i. What are the prime factors of m?
3, 5, 7
Let k = 407 + -635. Let r = -134 - k. What are the prime factors of r?
2, 47
Suppose -28*d + 3803 + 5129 = 0. List the prime factors of d.
11, 29
Let o(a) = 2*a**2 - 34*a - 19. Let q(d) = 3*d**2 - 35*d - 20. Let y(l) = 5*o(l) - 4*q(l). What are the prime factors of y(-12)?
3, 19
Let m(p) = -p**3 + 15*p**2 - 4*p + 16. Let t be m(15). Let f be 1375/t + (-1)/(-4). Let w = 102 + f. List the prime factors of w.
71
Let d = 38 - 34. What are the prime factors of (14/d)/((-4)/(-24))?
3, 7
Let c be -3 + (112/4 - -1). Let d(y) = 31*y**3 + y**2 - y + 1. Let x be d(1). Let j = x - c. What are the prime factors of j?
2, 3
Let w = 5289 - 3743. What are the prime factors of w?
2, 773
Let h(f) = 132*f - 123. List the prime factors of h(2).
3, 47
Let r(p) = p + 1. Let v be r(-6). Let i = -8 - v. List the prime factors of 6/4*(-22)/i.
11
Let x(l) = -4*l - 16. Let j be -3*(-3 + 38/6). List the prime factors of x(j).
2, 3
Suppose -7*t + 2*t + 134 = 3*w, 3*w = 9. List the prime factors of t.
5
Suppose 21 = 4*q - 3*q. Let j(w) = -w**2 - 4*w + 14. Let a be j(-6). Suppose t | {
"pile_set_name": "DM Mathematics"
} |
(s**50)**(-50) assuming s is positive.
s**(-344465/138)
Simplify ((l**(2/19))**(-2/63)*((l*l**(-3/10))/l)**(-14))**(-21) assuming l is positive.
l**(-25117/285)
Simplify (((m/m**(1/9))/m)/m*m**(-3/7))**40*((m*m/m**(-2/7)*m)/m*m*m)**(-29)/(m**0/((m**(-2/13)*m)/m)) assuming m is positive.
m**(-152356/819)
Simplify (s*s**(-2/7)*s)**(-2/135)/(s*s*s**1/s*(s/(s/(s/(s/((s**2*s)/s)))))/s)*(s/s**(-4/9)*s*s*s**3)**3 assuming s is positive.
s**(5137/315)
Simplify ((a**9/(a/(a*a**(-2/9)/a*a*a*a)))/(a/a**(-5))**24)**(11/8) assuming a is positive.
a**(-13189/72)
Simplify ((u/u**(2/3))**(-2/39))**(-23/6)*(u*u**(-1/5)*u**(-3/2))/((u**(-6/11)/u)/(u*(u*(u/(u*u**(1/13)*u)*u)/u)/u*u)) assuming u is positive.
u**(70813/38610)
Simplify (((l/l**(3/4))/l)/(l**(-41)/l*l))/(l**(-4/9))**(-14) assuming l is positive.
l**(1225/36)
Simplify (((s**(-4)*s)/s)/(s/s**(-2/5)*s))**(-32)/((s**(2/3)*s)**18)**(-32) assuming s is positive.
s**(5824/5)
Simplify (((i/i**10)/(i*i/i**(1/2)*i))/(i/i**(-5))**(-18))**38 assuming i is positive.
i**3667
Simplify ((a/(a/a**3)*a*a*a**(-6))/(a**1/a*a**(-9)*a))/(a/((a*a**3)/a)*a/(a*a/a**(-2)*a*a)*a**(-2/5)*a*a**8) assuming a is positive.
a**(27/5)
Simplify ((l/(l/((l**(-13)*l)/l)*l*l)*l/l**(-18/5))**(5/3))**(-1/8) assuming l is positive.
l**(13/6)
Simplify ((n/((n**(-2/5)/n)/n))/n)/(n/(n**4*n))*(n**(-15))**(-23) assuming n is positive.
n**(1757/5)
Simplify ((v**(-2/5))**(-16/7)/(((((v/(v*(v**1/v)/v*v))/v)/v)/v)/(v*(v**7/v)/v)))/((v*v*v*(v**1/v)/v)**(-13)*((v/v**0*v)/v*v)**(3/29)) assuming v is positive.
v**(36243/1015)
Simplify (t**(4/5)/t**(-3/4))**(1/8)/((t**(-1/3))**(11/5)*t/t**3*t*t**(-7)) assuming t is positive.
t**(857/96)
Simplify ((r/(r/r**(1/2)))**(-15))**(-1/19)*(r**(1/3)/r*r**3)**5 assuming r is positive.
r**(1375/114)
Simplify ((b**(-4))**(1/47)*(b/b**1)/(b**(-6)/b*b))**(20/11) assuming b is positive.
b**(5560/517)
Simplify (((g**2*g)/g*g)**7/(g/g**(-7/4)*g*(g**8*g)/g))**(7/9) assuming g is positive.
g**(259/36)
Simplify ((u*u**(1/2))/u*u**(-6))**12/(u/u**(-1/10)*u*u**2*u*(u**0*u)**(-26)) assuming u is positive.
u**(-451/10)
Simplify ((h**(6/5)*(h/(h*(h/(h/(h*h**3)))/h)*h)/h*h)/(h**(2/3))**11)**7 assuming h is positive.
h**(-854/15)
Simplify (((b/(b*b*b*b*b**(-4)/b))**(4/13)*(b*b**(2/9)/b*b*b*b)/(b/b**(-2)))**(-34))**(7/5) assuming b is positive.
b**(-23324/585)
Simplify ((d**(1/18)*d*d**(-7))/(d**(-4))**(-21/4))**(3/8) assuming d is positive.
d**(-485/48)
Simplify (((y**2*y)**(-1/6)*y**(-1/6)*y*y/y**2)**(-45))**(-2/29) assuming y is positive.
y**(-60/29)
Simplify (((d**(4/3)*d)/d)**(-2/61)*d*d**(-1/11)*d**(16/5))**50 assuming d is positive.
d**(409180/2013)
Simplify (s**7/s**1*s**(4/5)*s**(-4))/((s**(-2/7)/((s*s**(-1/2))/s))/(s/(s*s/(s/(s/s**3)))*s/s**(-6))) assuming s is positive.
s**(811/70)
Simplify ((q*q**(-2/41))**(-14)/(q**(-14)/(((q/q**(-1/40))/q)/q*q)))**35 assuming q is positive.
q**(8127/328)
Simplify (k**(-2/7))**(-7/10)*k**(-3/5)/k**5*(k**5/k**(1/4))/((k*k**2*k)/k**6) assuming k is positive.
k**(27/20)
Simplify ((z*z**5*z**(1/37)*z)/(z*z*z/z**(-14))**27)**(-1/41) assuming z is positive.
z**(16723/1517)
Simplify (y**6/(y/y**(1/8)))/(y**(-2/7))**(-38)*(y**1)**(-7)*(y**1*y)**(-2/9) assuming y is positive.
y**(-6641/504)
Simplify (((c**(-2/3))**(21/5)/(c/c**(-5/4)*(c*c**(-1)/c)/c))**(-42))**(-15) assuming c is positive.
c**(-3843/2)
Simplify (((k*k*k*k**0/k*k*k*k)**(-2/31)/(((((k**0/k)/k*k)/k)/k)/k*k)**(1/9))**(2/11))**(3/4) assuming k is positive.
k**(1/682)
Simplify (((b*b**(-16/5))/b)/b*b**(5/6)*(b*b**(-20))/b**(1/3))**(-5/6) assuming b is positive.
b**(227/12)
Simplify ((d/d**2)/d*d/d**(1/3))/(d**(-2/11)*d/d**7)*(d*(d*(d**5/d)/d)/d*d*d)/(d/(d*d**(1/13)))*d**2/d**5 assuming d is positive.
d**(3400/429)
Simplify ((w/((w/(w/(w*w/w**(-1/4))))/w))**4)**49*w*w**(1/4)*w**(1/2)*w*w*(w**1/w)/((w*w**(-2/3)*w)/w) assuming w is positive.
w**(-547/12)
Simplify (((((o*o**(-2/9))/o)/(o*(o/((o/(o*o*o**(-1/2)*o*o*o*o))/o))/o))/((o/(o*((o*o*o**10*o)/o*o)/o*o))/o*o/o**5))**(11/3))**(-1/18) assuming o is positive.
o**(-2233/972)
Simplify ((c**1)**(-14)/(c**(4/5)*c*c**(1/3)*c))/((c*(c/c**(1/2))/c)**49)**39 assuming c is positive.
c**(-29179/30)
Simplify (((v**(2/7)/v*v)**(-15)/((v*(v/((v*v*v**(-4)*v*v*v)/v)*v)/v)/(v*v**(-9)*v)))**28)**(2/19) assuming v is positive.
v**(-744/19)
Simplify (u**(-7)/u*u*u/(u*u*u*u**4)*(u**(-7))**(3/5))**(-12/7) assuming u is positive.
u**(1032/35)
Simplify (c/c**(2/15)*c**(-2/3))/(c**(1/2)/(c/(c*(c/(c/c**(-5)))/c)))*c**(-4)*c/c**(-5)*c**(-2)/(c**(-1/4)*c) assuming c is positive.
c**(99/20)
Simplify ((g/g**9)/(g/(g**(-4)*g)))**(5/3)/(((g*g**(4/3))/(g**(-7)/g))/(g**0)**(-34)) assuming g is positive.
g**(-91/3)
Simplify ((((h/(h*h**(2/15)))/(h*h*h**(-1)/h))**(23/2))**(2/81))**(-22) assuming h is positive.
h**(1012/1215)
Simplify ((d*d/(d**(-1)*d))**(1/5)*d/d**(-5)*d**(1/3)*d)/((d*((d/(d*d**3))/d*d)/d)/d**(1/3)*(d**(-1/2))**(-21)) assuming d is positive.
d**(17/30)
Simplify ((p**(3/7))**(-3)*(p**(-5/7)/p)**(2/3))**(1/2) assuming p is positive.
p**(-17/14)
Simplify (v/v**(2/11)*v*v/v**(-1/6))/(((((v*v/(v*v**(2/5)))/v)/v)/v)/(v*v*v/(v*v/(v/((v*v**(-3))/v)*v)*v)*v))*((v**(-1))**(-31))**25 assuming v is positive.
v**(259507/330)
Simplify (o**(-2/3)/((o/(o*o**(4/7))*o)/o)*((o**(-1/5)*o)/o)**49)/((o**(1/2)*o*(o/((o**(8/3)*o)/o*o*o))/o*o)/(o**1*o**(3/7))) assuming o is positive.
o**(-63/10)
Simplify ((y**(-25)/(y**(4/3)*y))/(((y/y**(-6/11))/y)/y*y*y**(-18)))**(-23) assuming y is positive.
y**(7498/33)
Simplify ((n*(n**3*n)/n*n**(2/5))/(n/(n/((n/(n*n/(n*n**(-2)*n)*n))/n))*n**(-2/13)))/((n**(-1))**(-1/4)/(n**1)**28) assuming n is positive.
n**(9179/260)
Simplify (((g/((g*g**(-1)*g)/g)*g*g**(-12))/(g*g*g**(1/3))**(-3/10))**(-7/8))**(-10) assuming g is positive.
g**(-651/8)
Simplify (h**(-2/15)*h/(h*h**(1/2)*h))/(h**3/(h*h/h**(2/15)))*((h*h/h**(-3))/(h/(h/(h*h*h**(2/13)*h*h*h*h))*h))**47 assuming h is positive.
h**(-40559/390)
Simplify (p**(-2/5))**(-2/97)*(p/p**1)**(-24)*(p*p**(-6)*p*p*p**3*p)/(((p/p**(-1)*p)/p)/(p*p*p**(2/15))) assuming p is positive.
p**(1661/1455)
Simplify ((d*d**(1/5))/((d*d/(d*d**(-7)))/d))**(1/22)/((d**(-3/5)/((d**1/d)/d))/((d/d**4)/d**(-1/3))) assuming d is positive.
d**(-1099/330)
Simplify (d**(-16)*d*d*d**(5/6)*(d**(3/5)/d)/(d/(d/d**(-1/41))))**11 assuming d is positive.
d**(-183227/1230)
Simplify (((x**(-2/7)/x)/x*x*x)**(42/5)*(x*x/x**(2/5))**(1/67))/(x/x**2*x/x**2*x**0/(x/(x/(x**(-1/4)/x)*x))) assuming x is positive.
x**(-3519/1340)
Simplify (r/(r/((r/r**0)/r*r)))**(-22)/((r*r**(3/5))/r**(-6))*((r**1*r*r*r)**(-2/17))**(2/73) assuming r is positive.
r**(-183748/6205)
Simplify (((((w*w**(2/29))/w)/(w/w**(2/7)))/(w**(-5)/(w*w**(2/11)/w)))**(-29))**(-6/23) assuming w is positive.
w**(60780/1771)
Simplify (((y*y**(2/5)/y)**26*(y/y**13)/(y**(-10)*y))**(-40))**39 assuming y is positive.
y**(-11544)
Simplify ((d**(-22)*d*d*d**(-2/9))/(d*(d*d**(8/3))/d)**9)**(2/43) assuming d is positive.
d**(-958/387)
Simplify ((h**(-2/119)/(h**(-5)*h))/(h/(h**30/h))**(-34))**48 assuming h is positive.
h**(-5415072/119)
Simplify ((i**(-7))**(-2/45)*(i*i**(7/6))/(i*i**3*i))**(-3/17) assuming i is positive.
i**(227/510)
Simplify ((t**(-1))**(-24/5)/((t/((t*t**(-28/3))/t))/(t*t**(-30))))**(-21) assuming t is positive.
t**(3626/5)
Simplify (h**(-12)/(h/(h**(-3/2)*h*h)))**(-30/13)*(h*h**7)/(h*h**(-5)*h)*(h/(h*h*h**8*h))/h*h**(-5)/h assuming h is positive.
h**(297/13)
Simplify (h*h*h**0/h*h*h*h)**(3/37)*h/(h**(-4)*h)*h**5*((h/(h*h/h**(-9)))/(h*h/(h/(h*(h*h/h**0)/h))*h))**(-17/2) assuming h is positive.
h**(4748/37)
Simplify (z**(1/5)/z*z**(-5))**47*(((z/(z**(-2/7)/z)*z)/z)/z)**46/(z**(2/7)/z**(2/9)) assuming z is positive.
z**(-67259/315)
Simplify ((x**(6/7)/(x/(x*(x**(-1/4)*x)/x*x)))/(x**(2/21)/x**(-1/4)))**(-25) assuming x is positive.
x**(-1325/42)
Simplify ((o**1*o)**12)**32/(((o**(-5)*o)/o)**(-2/9))**(-50) assuming o is positive.
o**(7412/9)
Simplify (b/b**(-2/3)*(b**4/b*b)/b*(b*b/b**(2/5)*b*b)**(-2/45))/(b**(2/15)*b/b**(-12))**(-6) assuming b is positive.
b**(6248/75)
Simplify (j*(j**(-37)/j)/j*(j*j*j**0)/j*j*j**36*j*j*j/j**(-1/7))**(3/2) assuming j is positive.
j**(33/7)
Simplify (x/(((x/x**5)/x)/x)*x**(-3))**(-9)/((x/((x/x**1)/x))**(29/4)*(x/(x**1/x*x))/x*x*((x**6/x)/x)/x) assuming x is positive.
x**(-107/2)
Simplif | {
"pile_set_name": "DM Mathematics"
} |
hat is -330 - 26?
-356
In base 10, what is -2749 - -387?
-2362
In base 14, what is -665 + -1d?
-684
In base 13, what is 7 - a7652?
-a7648
In base 2, what is -1000100 - 11010010100011?
-11010011100111
In base 13, what is -4 - 1714a?
-17151
In base 8, what is 554363 - 4?
554357
In base 7, what is -564 - 3363?
-4260
In base 9, what is -10071 + -66?
-10147
In base 4, what is -12122010 + -333?
-12123003
In base 12, what is 119 - -102?
21b
In base 9, what is -2 + -126228?
-126231
In base 5, what is -402424 + -3?
-402432
In base 5, what is 44 + -2130?
-2031
In base 14, what is a4 - 1cd?
-129
In base 7, what is 13314 - -23?
13340
In base 7, what is 5 - -22122?
22130
In base 8, what is 25736 + 2?
25740
In base 9, what is 184 - -5258?
5453
In base 5, what is -10 - -113130243?
113130233
In base 9, what is 6 - -414067?
414074
In base 13, what is -28a9c + -4?
-28aa3
In base 2, what is -10100000 - 1101111000?
-10000011000
In base 10, what is 13 + -1513?
-1500
In base 5, what is 4334414 - 0?
4334414
In base 10, what is 183 + -785?
-602
In base 11, what is 7a77 + -4?
7a73
In base 10, what is -13191 - -4?
-13187
In base 7, what is 101 - -1052?
1153
In base 3, what is 0 + 122120002011?
122120002011
In base 5, what is 44431004 - -12?
44431021
In base 10, what is 27 - -41?
68
In base 6, what is -41 - 105535?
-110020
In base 13, what is 4 + 18cca?
19001
In base 4, what is 12 + 1100021?
1100033
In base 15, what is -1aeb0 + -5?
-1aeb5
In base 2, what is 10101 - 110100110000001?
-110100101101100
In base 4, what is 2233 - -12312?
21211
In base 11, what is -211 + 2749?
2538
In base 9, what is -13253 - 3?
-13256
In base 15, what is 3c635 + -1?
3c634
In base 9, what is -1 - -144705?
144704
In base 14, what is -4 + 42d6c?
42d68
In base 7, what is -155 - -11162?
11004
In base 2, what is -100 + -1001101011100?
-1001101100000
In base 16, what is -3 + 696?
693
In base 4, what is -1203 - 123212?
-131021
In base 13, what is 27115 - -4?
27119
In base 7, what is -4065 - 156?
-4254
In base 6, what is 12525 - 42?
12443
In base 3, what is -220 + 1010002?
1002012
In base 5, what is -1422003 + -1?
-1422004
In base 6, what is -12125201 - 24?
-12125225
In base 2, what is 100 - -10100011011011?
10100011011111
In base 9, what is -1 + -1517338?
-1517340
In base 7, what is 5 - -56634?
56642
In base 9, what is -4511 + -21?
-4532
In base 9, what is -471 + -64?
-545
In base 4, what is 3222 - -1112021?
1121303
In base 11, what is -510a + 8?
-5102
In base 5, what is -1014 + -130200?
-131214
In base 7, what is -3 - -51263?
51260
In base 11, what is -296a - 2?
-2971
In base 7, what is 21 + 10426?
10450
In base 3, what is -1100 - -1220110?
1212010
In base 7, what is 13450 + 2200?
15650
In base 6, what is 311 + -340324?
-340013
In base 6, what is 135212453 + -4?
135212445
In base 6, what is 5 + -104024504?
-104024455
In base 5, what is 3324 - -301?
4130
In base 8, what is -16 - -13205?
13167
In base 15, what is 1 + -3992b?
-3992a
In base 7, what is 431 - 1?
430
In base 15, what is -157 + 222?
ba
In base 8, what is -667 - 354?
-1243
In base 9, what is 3 - 55872?
-55868
In base 12, what is -2 + -2959?
-295b
In base 4, what is 22103232 + -2?
22103230
In base 13, what is -6416b - -1?
-6416a
In base 6, what is -1231 - 34355?
-40030
In base 11, what is 2096 + 3?
2099
In base 15, what is -41d4 - b3?
-4297
In base 6, what is -45 + -1242452?
-1242541
In base 2, what is 1 - -1111000111011?
1111000111100
In base 13, what is 68 - 194?
-129
In base 7, what is 3410 + 43?
3453
In base 4, what is -3 + -21200322?
-21200331
In base 2, what is -101011111 + 100101000000?
11111100001
In base 8, what is -3 - 733326?
-733331
In base 9, what is -46250 - -1?
-46248
In base 11, what is 14 - -4a6?
50a
In base 10, what is -3 - 3271?
-3274
In base 8, what is -55 + 1364?
1307
In base 7, what is 102516 - 2?
102514
In base 13, what is 10a - 22?
b8
In base 10, what is 2 - -28234?
28236
In base 13, what is -2 + b746c?
b746a
In base 7, what is 161 - 30105?
-26614
In base 9, what is 2030 + -112?
1817
In base 12, what is -16 + -1711?
-1727
In base 9, what is 2331 + 875?
3316
In base 7, what is -411322 - 5?
-411330
In base 8, what is -100 + 4225?
4125
In base 7, what is -43 + 31460?
31414
In base 15, what is -1431 - a?
-143b
In base 6, what is 414 - -14034?
14452
In base 14, what is 1763 - 7?
175a
In base 10, what is -139729 - -5?
-139724
In base 15, what is 16 + 1acd?
1ae4
In base 9, what is 45278 + 15?
45304
In base 3, what is -101021001 + 210?
-101020021
In base 15, what is -e - 9b0?
-9be
In base 4, what is 2 + 13223221?
13223223
In base 7, what is -5 - 12642?
-12650
In base 15, what is d1b0 - -5?
d1b5
In base 6, what is -2 + 102154333?
102154331
In base 11, what is -51784 + 3?
-51781
In base 13, what is -5 - -18a54?
18a4c
In base 16, what is -22c + 19a?
-92
In base 15, what is 1 + 91135?
91136
In base 2, what is -1111010100 + -1000010101010?
-1010001111110
In base 3, what is 0 + 202120211022?
202120211022
In base 9, what is -72 + -77012?
-77084
In base 5, what is -42 - 20204104?
-20204201
In base 7, what is 3412645 + 0?
3412645
In base 2, what is 100011101101100011 + 1?
100011101101100100
In base 6, what is -24013 + -5?
-24022
In base 5, what is -204 - -212140?
211431
In base 11, what is 2 - 195630?
-195629
In base 11, what is 3 - 195?
-192
In base 12, what is -32 - 358?
-38a
In base 8, what is 3 - 1166550?
-1166545
In base 13, what is -364c - 33?
-3682
In base 2, what is 111101100 + 110110?
1000100010
In base 9, what is 80657 - -5?
80663
In base 5, what is 34103122 - 4?
34103113
In base 15, what is 1345 + -8c?
12a8
In base 14, what is -297c + 12?
-296a
In base 2, what is 100011 - -110010101000110?
110010101101001
In base 12, what is -2 + -94a93?
-94a95
In base 10, what is -499131 - -4?
-499127
In base 12, what is 1 + -37bb?
-37ba
In base 9, what is 41 + 337?
378
In base 10, what is -47 - -11882?
11835
In base 16, what is cb - 1460?
-1395
In base 3, what is -1001 + 11221000?
11212222
In base 14, what is 0 + -128?
-128
In base 8, what is 207620 + -2?
207616
In base 11, what is -38 + 1208?
1180
In base 16, what is b + -fdd?
-fd2
In base 6, what is -3354251 + 2?
-3354245
In base 4, what is 1302103 - -13?
1302122
In base 10, what is 277 - -382?
659
In base 12, what is 13a3 + 4?
13a7
In base 5, what is 4 + -21211?
-21202
In base 12, what is 1237 + 16?
1251
In base 9, what is -4473 + -30?
-4513
In base 2, what is -10111011011 + -1010?
-10111100101
In base 15, what is -a2b0c + -1?
-a2b0d
In base 9, what is -4 - 270111?
-270115
In base 13, what is -29c + -850?
-b1c
In base 15, what is 19 + -adb?
-ac2
In base 13, what is -283 - 9?
-28c
In base 16, what is 4b026 - 3?
4b023
In base 13, what is -60a59 + -6?
-60a62
In base 11, what is 2 + -91169?
-91167
In base 6, what is -1 + -3505512?
-3505513
In base 15, what is -3 - 3b85?
-3b88
In base 7, what is 10 + -240401?
-240361
In base 7, what is 2553613 - -1?
2553614
In base 4, what is -2021230201 - 11?
-2021230212
In base 16, what is -873 - 480?
-cf3
In base 12, what is 19b5 + 3?
19b8
In base 15, what is d2 - -25?
107
In base 6, what is -3 - -3054450?
3054443
In base 12, what is -4 + -9587?
-958b
In base 2, what is 11000100 - 1011101?
1100111
In base 2, what is 100111011 - -1101111111?
10010111010
In base 6, what is 50 + 4204?
4254
In base 9, what is 4 - -282401?
282405
In base 6, what is 31 - 1052?
-1021
In base 8, what is -13052 - 36?
-13110
In base 5, what is -3211 - -124?
-3032
In base 12, what is 754 + 9a2?
1536
In base 5, what is -11433 + 31442?
20004
In base 6, what is 12234 + 205?
12443
In base 14, what is ad - 251?
-182
In base 4, what is -30 + -310011?
-310101
In base 4, what is -12131312 + 301?
-12131011
In base 12, what is -1364 - -b8a?
-396
In base 2, what is -1 - -100111110101100?
100111110101011
In base 6, what is 52 - 113523?
-113431
In base 10, what is -29 - 1150?
-1179
In base 6, what is -25312235 - 5?
-25312244
In base 14, what is -100d28 - -5?
-100d23
In base 13, what is -4 + 145b?
1457
In base 4, what is 1011301 - 20?
1011221
In base 9, what is 20 + 124447?
124467
In base 10, what is 3 + 404870?
404873
In base 15, what is 4 + -1dc24?
-1dc20
In base 13, what is -6b25 - 60?
-6b85
In base 12, what is -b8 + -98?
-194
In base 10, what is 199 - 827?
-628
In base 4, what is 12 + 2 | {
"pile_set_name": "DM Mathematics"
} |
se
Is 31 a factor of 2993019?
True
Is 3567960 a multiple of 159?
True
Does 19 divide 815784?
True
Is 1649083 a multiple of 96?
False
Is 14533 a multiple of 4?
False
Is 154 a factor of 213978?
False
Is 18 a factor of 355266?
True
Is 3708923 a multiple of 22?
False
Is 50547 a multiple of 87?
True
Is 44825 a multiple of 19?
False
Is 21 a factor of 458199?
True
Is 539 a factor of 1027773?
False
Is 94872 a multiple of 536?
True
Is 13 a factor of 27404839?
False
Does 10 divide 816877?
False
Is 428 a factor of 6220433?
False
Is 26 a factor of 362900?
False
Is 1034480 a multiple of 20?
True
Does 266 divide 296702?
False
Is 412 a factor of 209709?
False
Does 42 divide 6872334?
True
Does 290 divide 3045580?
True
Is 2959492 a multiple of 38?
False
Is 101255 a multiple of 11?
True
Is 36037 a multiple of 7?
False
Does 20 divide 4120?
True
Is 1120 a factor of 16467676?
False
Is 20 a factor of 11923?
False
Is 292 a factor of 60444?
True
Does 71 divide 84916?
True
Does 17 divide 96519?
False
Is 36 a factor of 4730688?
True
Does 19 divide 614102?
False
Is 237105 a multiple of 479?
True
Does 622 divide 863239?
False
Does 1785 divide 23167005?
False
Is 4161102 a multiple of 520?
False
Is 28 a factor of 3035592?
True
Does 157 divide 2091397?
True
Is 98 a factor of 478227?
False
Does 3 divide 1552989?
True
Does 26 divide 157124?
False
Does 33 divide 102465?
True
Is 3 a factor of 33372?
True
Is 193 a factor of 257848?
True
Does 7 divide 947632?
True
Does 10 divide 194571?
False
Is 113925 a multiple of 93?
True
Is 40 a factor of 50295?
False
Does 2 divide 117305?
False
Does 83 divide 18515?
False
Is 221 a factor of 4761003?
True
Is 2377944 a multiple of 202?
True
Is 3 a factor of 188167?
False
Does 14 divide 122928?
False
Is 19470 a multiple of 30?
True
Is 5454 a multiple of 12?
False
Is 226 a factor of 753710?
True
Is 139904 a multiple of 3?
False
Does 121 divide 427372?
True
Does 12 divide 1004218?
False
Is 12 a factor of 84520?
False
Is 3872746 a multiple of 89?
True
Is 2 a factor of 102897?
False
Does 27 divide 423850?
False
Does 128 divide 311736?
False
Does 277 divide 202210?
True
Does 18 divide 59541?
False
Is 42 a factor of 32508?
True
Is 6 a factor of 12465?
False
Does 59 divide 332583?
True
Is 2943972 a multiple of 12?
True
Is 103466 a multiple of 11?
True
Is 7 a factor of 2781235?
False
Is 2614491 a multiple of 33?
True
Is 1207932 a multiple of 33?
True
Is 228 a factor of 3623778?
False
Is 3572118 a multiple of 7?
False
Is 30 a factor of 2345266?
False
Is 13 a factor of 705159?
True
Does 61 divide 1793949?
True
Does 3 divide 197109?
True
Is 4 a factor of 236152?
True
Is 206 a factor of 14008?
True
Is 39 a factor of 3349447?
False
Does 27 divide 1351843?
False
Does 9 divide 3440925?
True
Is 7 a factor of 490102?
False
Is 516186 a multiple of 474?
True
Is 13 a factor of 96877?
False
Is 815594 a multiple of 342?
False
Is 1112873 a multiple of 178?
False
Is 3 a factor of 319615?
False
Is 1480373 a multiple of 283?
True
Is 63 a factor of 233982?
True
Does 792 divide 1587168?
True
Is 4567968 a multiple of 9?
True
Is 2767824 a multiple of 516?
True
Does 23 divide 1302950?
True
Is 14 a factor of 162344?
True
Is 77784 a multiple of 24?
True
Does 4 divide 58702?
False
Is 79 a factor of 802887?
False
Is 984 even?
True
Is 64760 even?
True
Is 109 a factor of 49922?
True
Is 1248619 a multiple of 194?
False
Does 20 divide 8946340?
True
Is 982255 a multiple of 111?
False
Is 12940919 a multiple of 274?
False
Is 792 a factor of 2642763?
False
Is 22405 a multiple of 311?
False
Is 3292600 a multiple of 326?
True
Is 557326 a multiple of 94?
True
Is 11397 a multiple of 131?
True
Is 69636 a multiple of 84?
True
Is 43 a factor of 1640665?
True
Does 5 divide 13224?
False
Is 554044 a multiple of 20?
False
Is 4097144 a multiple of 152?
False
Is 708 a factor of 398263?
False
Does 3 divide 47709?
True
Is 79329 a multiple of 25?
False
Is 9 a factor of 653203?
False
Is 48 a factor of 778944?
True
Is 6 a factor of 83965?
False
Does 154 divide 52324?
False
Does 14 divide 184268?
True
Is 11 a factor of 59961?
True
Is 49 a factor of 479710?
True
Is 243805 a multiple of 9?
False
Is 4346520 a multiple of 268?
False
Is 333551 a multiple of 27?
False
Is 1285583 a multiple of 123?
False
Is 3162000 a multiple of 31?
True
Does 3 divide 5166?
True
Is 3052323 a multiple of 1025?
False
Does 23 divide 80658?
False
Does 19 divide 4491752?
True
Is 6016572 a multiple of 75?
False
Is 205 a factor of 228423?
False
Is 2941344 a multiple of 72?
True
Is 237 a factor of 87453?
True
Is 57929 a multiple of 53?
True
Does 4 divide 201010?
False
Does 293 divide 51435?
False
Does 31 divide 880108?
False
Is 20 a factor of 4780479?
False
Is 287601 a multiple of 43?
False
Does 17 divide 296071?
False
Is 207774 a multiple of 36?
False
Is 12 a factor of 3620352?
True
Does 167 divide 19427?
False
Does 27 divide 358851?
False
Is 27 a factor of 6141690?
True
Is 247770 a multiple of 46?
False
Is 44583 a multiple of 2?
False
Is 2 a factor of 6771?
False
Does 55 divide 17490?
True
Is 7 a factor of 1910800?
False
Is 24 a factor of 142306?
False
Is 267 a factor of 196455?
False
Is 1825025 even?
False
Is 23 a factor of 332745?
False
Is 87526 a multiple of 114?
False
Is 246 a factor of 1032954?
True
Does 3 divide 320118?
True
Is 339138 a multiple of 166?
True
Is 367 a factor of 711246?
True
Is 11 a factor of 135954?
False
Does 10 divide 658372?
False
Is 111 a factor of 620490?
True
Does 220 divide 64240?
True
Is 347 a factor of 6975741?
True
Is 584219 a multiple of 53?
True
Is 67257 a multiple of 18?
False
Is 155 a factor of 1157540?
True
Does 13 divide 33243?
False
Is 851975 a multiple of 28?
False
Does 45 divide 363285?
True
Does 10 divide 4405550?
True
Is 9686530 a multiple of 119?
False
Is 248780 a multiple of 14?
True
Does 124 divide 501828?
True
Does 2 divide 172469?
False
Does 10 divide 246750?
True
Is 4 a factor of 98272?
True
Is 740196 a multiple of 116?
True
Does 8 divide 998024?
True
Is 105416 a multiple of 726?
False
Does 461 divide 921470?
False
Is 180920 a multiple of 10?
True
Is 2872 even?
True
Is 4 a factor of 32292?
True
Does 57 divide 930935?
False
Is 1990 a multiple of 318?
False
Is 306 a factor of 19982899?
False
Does 312 divide 784343?
False
Does 56 divide 311696?
True
Is 52 a factor of 147509?
False
Does 348 divide 253344?
True
Is 59598 even?
True
Is 3682747 a multiple of 285?
False
Is 4643436 a multiple of 21?
True
Is 286139 a multiple of 11?
False
Is 48 a factor of 761968?
False
Does 9 divide 2023056?
True
Does 11 divide 201410?
True
Does 45 divide 98401?
False
Is 14 a factor of 331974?
False
Does 9 divide 5976?
True
Is 28481 a multiple of 32?
False
Is 1294582 a multiple of 47?
False
Is 645 a factor of 5219340?
True
Is 23 a factor of 11007981?
False
Does 9 divide 4146246?
True
Is 300486 a multiple of 9?
False
Is 10214814 a multiple of 358?
True
Does 4 divide 179467?
False
Does 11 divide 91924?
False
Does 62 divide 28396?
True
Does 323 divide 33915?
True
Is 54464 a multiple of 32?
True
Does 85 divide 7055?
True
Is 12 a factor of 1806912?
True
Is 15 a factor of 15868125?
True
Is 78 a factor of 4621188?
True
Does 123 divide 1086336?
True
Is 45661 a multiple of 77?
True
Is 25122 a multiple of 237?
True
Is 18273230 a multiple of 1442?
False
Does 11 divide 962808?
True
Is 518282 a multiple of 19?
True
Is 12906719 a multiple of 16?
False
Is 6046648 a multiple of 785?
False
Is 552 a factor of 491832?
True
Does 40 divide 938920?
True
Is 20 a factor of 3686760?
True
Is 32 a factor of 84769?
False
Does 92 divide 2890809?
False
Is 200888 a multiple of 75?
False
Is 14 a factor of 5122349?
False
Is 1142952 a multiple of 6?
True
Does 26 divide 2539264?
True
Does 610 divide 4951980?
True
Does 36 divide 67464?
True
Is 1424355 a multiple of 56?
False
Is 9 a factor of 1708866?
True
Is 64 a factor of 347264?
True
Is 48 a factor of 2902337?
False
Is 69 a factor of 367273?
False
Is 3460153 a multiple of 25?
False
Is 36 a factor of 57649?
False
Does 27 divide 320409?
True
Is 8127934 a multiple of 107?
True
Is 2 a factor of 487921?
False
Does 53 divide 2669375?
False
Is 26 a factor of 3218592?
True
Is 4 a factor of 46081?
False
Is 1315305 a multiple of 27?
True
Is 1518900 a multiple of 915?
True
Is 160462 a multiple of 51?
F | {
"pile_set_name": "DM Mathematics"
} |
common factor of 44887627 and 542.
271
Calculate the greatest common factor of 1373768 and 181168.
536
Calculate the highest common divisor of 16665 and 31515.
165
Calculate the greatest common divisor of 6276 and 2093234280.
6276
Calculate the greatest common divisor of 101488 and 14992.
16
Calculate the highest common factor of 5000010 and 420.
30
What is the greatest common divisor of 754888 and 3715?
743
What is the greatest common divisor of 852383 and 6070393?
3241
Calculate the highest common divisor of 3831 and 8452463.
1277
What is the greatest common divisor of 451438 and 895?
179
Calculate the highest common divisor of 162743 and 19085.
347
Calculate the greatest common factor of 60 and 1452765.
15
What is the highest common factor of 15279924 and 84?
12
Calculate the highest common factor of 26197 and 33495797.
391
What is the greatest common divisor of 34 and 5707393?
17
Calculate the highest common divisor of 231 and 13562241.
231
What is the highest common divisor of 5152 and 6804136?
184
What is the greatest common divisor of 1137 and 40565128?
379
Calculate the highest common factor of 10911130 and 42845.
95
Calculate the highest common factor of 32 and 219810128.
16
Calculate the highest common factor of 58988320 and 3712.
928
What is the greatest common factor of 25207 and 767?
13
What is the highest common divisor of 89529 and 1386343?
2713
What is the greatest common factor of 1036330 and 65410?
310
Calculate the highest common divisor of 415530 and 361098.
486
Calculate the greatest common divisor of 27285372 and 36.
36
What is the greatest common factor of 2395241497 and 11?
11
Calculate the greatest common factor of 26 and 12981007.
13
Calculate the highest common factor of 72 and 236868712.
8
What is the highest common divisor of 335 and 49663415?
335
What is the highest common divisor of 248752593 and 839?
839
Calculate the highest common divisor of 516720 and 53232.
48
Calculate the highest common divisor of 19 and 63978510.
19
Calculate the highest common divisor of 5068544 and 9472.
256
What is the greatest common divisor of 1856910 and 20400?
510
What is the highest common divisor of 5850 and 37173825?
2925
Calculate the highest common divisor of 2941188 and 18924.
996
What is the highest common factor of 377 and 13835639?
29
What is the highest common divisor of 100451137 and 3902?
1951
Calculate the highest common divisor of 90 and 227456.
2
What is the greatest common factor of 96470661 and 7?
7
Calculate the greatest common divisor of 2544 and 200584.
8
What is the greatest common divisor of 57558 and 1746456?
318
Calculate the highest common factor of 299 and 973487788.
299
Calculate the greatest common factor of 38236900 and 52.
52
Calculate the highest common divisor of 231393207 and 186.
93
What is the greatest common factor of 30847168 and 2838?
946
Calculate the greatest common factor of 113 and 12276320.
113
What is the highest common divisor of 7812 and 2615718?
1302
What is the highest common divisor of 19250 and 111419?
77
What is the highest common factor of 34 and 29631799?
17
Calculate the highest common factor of 2120 and 459245.
265
What is the highest common factor of 30689927 and 2328?
97
What is the highest common divisor of 910396104 and 317?
317
What is the greatest common factor of 1154307 and 33927?
789
Calculate the greatest common factor of 10808816 and 32.
16
What is the highest common divisor of 4593163 and 5761?
823
What is the greatest common factor of 88 and 2631002?
22
Calculate the greatest common divisor of 1525 and 50320120.
305
What is the greatest common divisor of 40 and 210199300?
20
What is the highest common factor of 131840 and 239784?
824
What is the highest common factor of 1788759189 and 63?
63
Calculate the highest common factor of 74244 and 3468.
12
Calculate the greatest common factor of 302929 and 2519.
11
What is the highest common factor of 121034208 and 288?
96
What is the highest common factor of 3275 and 42425?
25
Calculate the greatest common factor of 3658 and 178718906.
3658
Calculate the highest common factor of 61412884 and 104.
52
What is the highest common divisor of 6536 and 842327?
817
Calculate the highest common factor of 9840 and 107591790.
1230
What is the highest common factor of 49306 and 278214?
178
Calculate the greatest common factor of 133 and 1470191709.
133
What is the highest common divisor of 5703840 and 1620?
180
Calculate the highest common factor of 663060 and 3483.
129
What is the highest common factor of 212367790 and 962?
74
Calculate the greatest common factor of 63040 and 1391440.
80
Calculate the highest common divisor of 1225200 and 4800.
1200
Calculate the greatest common divisor of 4802 and 727445376.
4802
Calculate the greatest common factor of 92651476 and 376.
188
Calculate the greatest common divisor of 20547201 and 41439.
2181
Calculate the highest common divisor of 10215980 and 340.
340
Calculate the highest common factor of 28939 and 72011.
673
Calculate the greatest common divisor of 223649 and 11096.
19
What is the greatest common divisor of 2656352 and 133152?
608
Calculate the greatest common factor of 44414 and 48185.
419
Calculate the highest common factor of 58 and 200709.
29
Calculate the greatest common divisor of 177263 and 24570717.
1721
What is the greatest common divisor of 16307276 and 46?
46
What is the greatest common divisor of 32 and 27989732?
4
Calculate the highest common factor of 760 and 20170552.
152
What is the greatest common divisor of 1475 and 150509?
59
Calculate the highest common factor of 293052 and 124.
4
What is the highest common divisor of 6072 and 75182492?
1012
What is the highest common divisor of 7949092 and 233312?
1268
What is the greatest common divisor of 13962 and 779844?
78
Calculate the highest common divisor of 775936 and 5312.
64
Calculate the greatest common factor of 35979990 and 50490.
510
Calculate the greatest common divisor of 93720290 and 5.
5
Calculate the greatest common factor of 46530 and 3618630.
90
Calculate the highest common factor of 1912 and 6712076.
956
Calculate the greatest common divisor of 10143 and 307832.
161
Calculate the greatest common divisor of 9400 and 321450.
50
Calculate the highest common divisor of 2068710 and 2310.
210
What is the greatest common factor of 180 and 7971084?
36
Calculate the highest common factor of 69363 and 8523.
9
Calculate the greatest common divisor of 5333172 and 2346.
102
What is the greatest common factor of 1780 and 643648?
356
Calculate the highest common divisor of 44655 and 74400.
15
What is the highest common factor of 41706 and 581?
7
Calculate the greatest common factor of 1830630 and 330.
30
What is the greatest common factor of 62950443 and 11142?
1857
What is the highest common divisor of 5935021 and 77181?
1979
What is the highest common factor of 282 and 250986439?
47
What is the greatest common divisor of 52021002 and 30338?
4334
Calculate the greatest common factor of 99268 and 4833920.
4316
Calculate the greatest common divisor of 660231 and 3471.
39
Calculate the greatest common divisor of 2442 and 9238456.
74
Calculate the greatest common divisor of 608608 and 337896.
1976
What is the highest common factor of 3219 and 1424103?
87
Calculate the greatest common factor of 29610 and 73762740.
4230
What is the greatest common factor of 9622772 and 568?
284
What is the greatest common divisor of 19456 and 420128?
608
What is the greatest common divisor of 1335 and 4983555?
1335
What is the highest common factor of 70737385 and 50?
5
What is the highest common divisor of 22455062 and 2618?
238
What is the highest common divisor of 26 and 5904158?
26
What is the greatest common factor of 10441 and 864589?
53
Calculate the highest common divisor of 24559344 and 1008.
144
Calculate the highest common divisor of 5377 and 3629.
19
What is the highest common factor of 15363789 and 20909?
721
What is the greatest common divisor of 99035 and 1790315?
145
Calculate the highest common factor of 448008 and 924.
132
What is the highest common factor of 3064 and 1413270?
766
Calculate the highest common factor of 275615 and 7568965.
995
Calculate the greatest common factor of 87478140 and 24.
12
Calculate the gr | {
"pile_set_name": "DM Mathematics"
} |
*2*3.
-1092*sqrt(3) + 2271
Simplify ((sqrt(153) - (sqrt(153)*2 + 2)) + 0 + -2 + -2*sqrt(153)*5)**2*3 + -3.
792*sqrt(17) + 55584
Simplify ((-5*(sqrt(144) - -2*sqrt(144)) + 3*-2*sqrt(144))/(-3*(sqrt(96) + -3*sqrt(96)*3 + sqrt(96))/sqrt(8)))**2.
12
Simplify ((sqrt(76)/sqrt(4))**2 + -3 - (sqrt(19) + sqrt(57)/sqrt(3) + -4)**2) + (-6*sqrt(171) - sqrt(57)/sqrt(27)) + (-5*sqrt(76)*2*1*3)**2.
-7*sqrt(19)/3 + 68324
Simplify ((sqrt(98) + (sqrt(98) + -2 + sqrt(98))*3 - sqrt(98))**2 + sqrt(98))*4 + ((sqrt(12)/sqrt(2) - sqrt(6))*-6 + sqrt(6))/(sqrt(81)/sqrt(3)).
-5963*sqrt(2)/3 + 14256
Simplify (-2 + 4*(2*-4*1*sqrt(70))/(sqrt(30)/(-6*sqrt(6)/sqrt(2))))*-5.
-960*sqrt(7) + 10
Simplify -2 + (sqrt(54)/((-2*sqrt(2) - sqrt(2)) + sqrt(2)) - sqrt(432)*2) + ((sqrt(144) + sqrt(144)*-1)/sqrt(4))/(sqrt(192)/sqrt(4))*2.
-51*sqrt(3)/2 - 2
Simplify -1*3*(sqrt(6050) + 1)*3 + (2 + (-1 + sqrt(6050))**2 - 6*(sqrt(6050) + sqrt(6050)*3 - sqrt(6050))).
-1595*sqrt(2) + 6044
Simplify (-1*sqrt(65)/(-2*sqrt(10)/sqrt(2)))**2 + ((sqrt(312) - (sqrt(312) + (-1*sqrt(312) + sqrt(312) - sqrt(312))))/sqrt(8))/((-2*sqrt(12))/sqrt(4)).
-sqrt(13)/2 + 13/4
Simplify -5*(-1 + 5*(5*(sqrt(300) + 1 + sqrt(300)) + 2) + 3)*-3.
555 + 7500*sqrt(3)
Simplify (-3 + ((sqrt(190)*-2*4)/sqrt(10)*-3 - 6*(-3 + sqrt(76)/sqrt(4) + -4))**2)*5.
7560*sqrt(19) + 39585
Simplify (-1 + (-1 + 0 + sqrt(19) + sqrt(19) + sqrt(19))*6 + 2 + sqrt(19) + 0 + sqrt(190)/sqrt(90))**2.
-580*sqrt(19)/3 + 64141/9
Simplify -3*((sqrt(891) + -1*sqrt(891) + 1 + sqrt(891))*4)**2 - 3*-4*4*(sqrt(891) + -1).
-42864 - 432*sqrt(11)
Simplify ((1*(-1 + sqrt(396)) - (((-1*sqrt(66))/sqrt(6) + sqrt(11) + sqrt(11) - sqrt(33)/sqrt(12)) + 2))*4)**2.
-528*sqrt(11) + 5468
Simplify -3 + 4 + ((sqrt(539) - 6*(sqrt(539) - (sqrt(539) + 2 + sqrt(539)))) + (sqrt(539) - ((sqrt(539) - (3 + sqrt(539) + sqrt(539))**2) + sqrt(539) + -3)))*5.
630*sqrt(11) + 10901
Simplify -6*(3 + (sqrt(102)/sqrt(6)*-3 - (sqrt(153) + sqrt(17) + 3))*-5 + 3)**2.
-127596 - 8820*sqrt(17)
Simplify (1*(sqrt(243) + sqrt(243) + 2) - 2*sqrt(243)*-3 - 1*(-3 + sqrt(243)*-1 - (4 + sqrt(243) + sqrt(243) + -1 - sqrt(243))))**2.
1440*sqrt(3) + 24364
Simplify (-1*sqrt(75) + 1)**2 + -2 + (sqrt(432) + sqrt(432)*-1)/(-3*sqrt(18)/sqrt(2)) + 0.
-10*sqrt(3) + 74
Simplify (3*sqrt(297) + ((-2*sqrt(231))/sqrt(7) - sqrt(33)))/((sqrt(192) - 5*sqrt(192)*1) + 6*sqrt(192)*1 + sqrt(192) + sqrt(192)).
3*sqrt(11)/16
Simplify (5*(sqrt(624)/sqrt(300) - sqrt(52)))/((sqrt(48) + sqrt(480)/(sqrt(10) + sqrt(10)*3))/sqrt(12)).
-16*sqrt(13)/5
Simplify (sqrt(1573) - sqrt(1573)*-2)**2 + 3 + (sqrt(13) - sqrt(208)) + (-2*1*sqrt(78))/(sqrt(384) - 2*sqrt(384)).
-11*sqrt(13)/4 + 14160
Simplify 1 + sqrt(80) + (-6*(4 + sqrt(80)))**2 + (sqrt(720) + -1 + 5 - (-5 + 3*sqrt(720)))**2.
724*sqrt(5) + 6418
Simplify 4*(0 + (sqrt(567)*1 + -3 - sqrt(567)) - (sqrt(567) + -2 + 2 + 3)).
-36*sqrt(7) - 24
Simplify ((sqrt(24) - (sqrt(240)/(2*sqrt(10)) - sqrt(24))) + (sqrt(24) - (sqrt(120)*2 - sqrt(120))/sqrt(5)))/((sqrt(48)*4*4)/sqrt(6))*-2.
-3*sqrt(3)/16
Simplify 4*(-2 + sqrt(19)*-1) + -3 - -4*(((sqrt(19) + -1)*5 - sqrt(19)) + sqrt(76)/sqrt(4) + -5)**2.
-404*sqrt(19) + 2289
Simplify (sqrt(165)/(sqrt(5) - (sqrt(5445) - sqrt(45))))/(sqrt(11) - (sqrt(110)*2)/sqrt(10) - 2*sqrt(176)) + 5.
sqrt(3)/261 + 5
Simplify 2 + (4 + -2 + sqrt(252))**2 - (sqrt(448) + 3 + sqrt(7) - (sqrt(7) + -1 + -5)**2).
3*sqrt(7) + 298
Simplify 1 + (((sqrt(132) + sqrt(132)*-4*-4)*-5)/(sqrt(84)/((2*sqrt(70))/sqrt(10))) + 2)**2.
-680*sqrt(11) + 317905
Simplify 2*((-1*sqrt(684)*-2 - 4*(0 + sqrt(684) - sqrt(684))) + 1*(sqrt(684)*-2 - sqrt(684)) + -1*sqrt(684)*5 + -3)**2.
432*sqrt(19) + 49266
Simplify ((sqrt(72) - (sqrt(72) + -1 + -3) - -1*(sqrt(72) + 0))*5 - (sqrt(72) + sqrt(72) + 1 + (sqrt(72)*3 - sqrt(72)) + 6*(sqrt(72) - (sqrt(72) + 4))))**2.
516*sqrt(2) + 1921
Simplify ((sqrt(700)*-5 + 4)*1)**2 + (-3 + (-1*sqrt(1008)*-1 - sqrt(1008)))**2.
-400*sqrt(7) + 17525
Simplify (sqrt(315)/sqrt(81) - (sqrt(35)*4 + sqrt(35))*1)/((sqrt(49) + (sqrt(5929) - (2*sqrt(5929) + sqrt(5929))) + sqrt(5929) - sqrt(49))/(sqrt(70)/sqrt(90))).
14*sqrt(5)/99
Simplify 1 + ((sqrt(320)*-2)**2 - (sqrt(20) - sqrt(980) - sqrt(20))) - ((sqrt(45)*1)/sqrt(9)*1*-3*5)**2.
14*sqrt(5) + 156
Simplify (1*sqrt(77)*1 - 1*(sqrt(77) + -3*sqrt(77) + sqrt(77)))/(4*sqrt(77)/(sqrt(11)*2)*1).
sqrt(11)
Simplify 5*(sqrt(4050)*-2*4 + sqrt(4050))**2 + 4 + (1*(-2*sqrt(150) + sqrt(150)))/sqrt(3) + (1 + sqrt(800))*4.
75*sqrt(2) + 992258
Simplify ((sqrt(576)*-2*-3 - sqrt(576) - (sqrt(576) - (-3*-1*sqrt(576) + sqrt(576))))/(1*(sqrt(12) - 5*(sqrt(36)/sqrt(3) - sqrt(12)))*2))**2.
768
Simplify (2*(-5*sqrt(170)*1 + -6*(-1*sqrt(170) - sqrt(170))))/(((sqrt(20) - sqrt(20)*2)/sqrt(2) - sqrt(10) - sqrt(90)/(sqrt(9) + 2*sqrt(9)))*2).
-3*sqrt(17)
Simplify (((sqrt(400) + 4*sqrt(400) + sqrt(400))*6)/sqrt(10))/((sqrt(96)/(-2*sqrt(6)))/sqrt(2)).
-72*sqrt(5)
Simplify ((5*6*5*sqrt(110)*2)/(3*sqrt(50)/(-2*sqrt(5)*-3)))**2 + -5.
3959995
Simplify (0 + sqrt(637) + 4 - sqrt(637))**2*1 + (sqrt(13) + 3*sqrt(13) + 1)**2*4*-3.
-2492 - 96*sqrt(13)
Simplify (4*(3 + (sqrt(1331)*-2 + 0 - sqrt(1331))*4 + -6*((sqrt(1331) - (sqrt(1331) + 1)) + -4)*2))**2.
-266112*sqrt(11) + 3130128
Simplify ((sqrt(88) + 3*(sqrt(88) - sqrt(88)*-2 - sqrt(88) - sqrt(88)) + (sqrt(88) + sqrt(88)*1)*-1)*-2)/(-2*sqrt(3200)*-6 + sqrt(3200)).
-sqrt(11)/65
Simplify -3*(((sqrt(2448) + 1)**2 + sqrt(2448))*-5 + -3) - ((sqrt(34) - -3*sqrt(68)/sqrt(2))/(sqrt(2) - (sqrt(96)/sqrt(3) + sqrt(32)))*4)**2.
540*sqrt(17) + 1796104/49
Simplify (sqrt(162)/(sqrt(27)/sqrt(3)))/sqrt(216) - (2 + 3*(sqrt(243) + 2 + sqrt(243))**2).
-2930 - 1295*sqrt(3)/6
Simplify (-4*-1*sqrt(7)*-2 - (1 + sqrt(7) + sqrt(28)/(sqrt(16)/sqrt(4)))) + (sqrt(252) + -1 + (1*sqrt(252))**2)*-2 + -2.
-505 - 22*sqrt(7)
Simplify 1*(2 + sqrt(1539) + 3)**2 - (0 + sqrt(19) + 3 + -6*(sqrt(19) + 2)).
95*sqrt(19) + 1573
Simplify (sqrt(243) + 2 + sqrt(243)*-1 + sqrt(243) + sqrt(243) + sqrt(243) + -3 + sqrt(243) + sqrt(243)*-1)**2 - (1*sqrt(300) + (sqrt(300) + 0)**2).
-64*sqrt(3) + 1888
Simplify (-3*sqrt(68)*-1)/(2*sqrt(400) + sqrt(400)) - ((-2*sqrt(561) + sqrt(561))/sqrt(11))/((3*sqrt(9))/sqrt(3)).
13*sqrt(17)/30
Simplify (((-5*sqrt(102)*-4 - sqrt(102))*-4*-6)/(-3*3*sqrt(486)*5))**2.
392768/18225
Simplify ((0 + sqrt(700))**2*1 + sqrt(700) + -4 + 1*(sqrt(700) + -3*((2*sqrt(700) - sqrt(700)) + sqrt(700) - sqrt(700)))**2)*-6.
-20976 - 60*sqrt(7)
Simplify ((1*(sqrt(133) - (sqrt(133) - (sqrt(133) - 2*sqrt(133)))) + sqrt(133))*-1)/(sqrt(28)/(sqrt(100)*-3))*1.
0
Simplify ((sqrt(128) + (-1 + sqrt(128))*3)*-2 + 3 + (2 + (sqrt(128) - (1 + sqrt(128))*-3 - (sqrt(128)*-2 + 2)))**2)*-6.
-27756 - 1344*sqrt(2)
Simplify (1 + sqrt(432) + 0 - (-5 + 3 + sqrt(432)) - (0 + -4 + (sqrt(300) - (-2 + sqrt(300) + -1 + sqrt(300) + sqrt(300) - sqrt(300)))))**2.
80*sqrt(3) + 316
Simplify (-5*1*sqrt(2299) + sqrt(2299)*3*5 + (sqrt(2299)*1 + 5 - -1*2*sqrt(2299)))**2.
1430*sqrt(19) + 388556
Simplify (4*(sqrt(78) + (sqrt(78) - sqrt(78)*-4*6)))/((sqrt(18)*2)/sqrt(3) - (sqrt(66) - (sqrt(66) - -2*sqrt(66)) - sqrt(66))/sqrt(11))*3*5.
312*sqrt(13)
Simplify -4*(-1*(3*sqrt(432)*-6 - sqrt(432)) + 4*(sqrt(432) - (5 + sqrt(432)*-2)))**2.
-1662208 + 59520*sqrt(3)
Simplify (4*sqrt(68)*3*-5)/((sqrt(108)/(sqrt(9)*-2))/sqrt(3)).
120*sqrt(17)
Simplify -3*(4*sqrt(288)*-2 + (sqrt(288) + sqrt(288) + 2)*-5 - -3*((sqrt(288) - sqrt(288)*1)*-3 + 0))**2.
-280236 - 12960*sqrt(2)
Simplify (sqrt(187)/(-1*sqrt(1331)) + -6*(5 + 1*sqrt(17)))**2 + -1.
4020*sqrt(17)/11 + 185092/121
Simplify ((4*((1 + sqrt(468))*-4 - (-2*sqrt(468) + sqrt(468) + 4)))**2 - ((-6*sqrt(468)*1 + 2)*-5)**2) + 1.
-352883 + 8208*sqrt(13)
Simplify (5 + -1 + ((3 + -2*-3*sqrt(128))*6)**2)*-5 + 0.
-831080 - 51840*sqrt(2)
Simplify ((sqrt(343) + 2)*1 - 6*((-2*sqrt(56))/sqrt(8) - sqrt(7)))**2*-5 + 5.
-21890 - 500*sqrt(7)
Simplify -1 + 5*(-1*((0 + sqrt(44))*-1 + (sqrt(5324)*1)**2 + 2) + -4).
-26651 + 10*sqrt(11)
Simplify (sqrt(1584) - (-1 + sqrt(1584) - sqrt(1584) - sqrt(1584))**2*5) + (sqrt(1584)*-2)**2 + 2 + ((0 + -6*(1 + sqrt(11) + sqrt(11)))*5*-1)**2.
3492*sqrt(11) + 38913
Simplify (-5*sqrt(432)*2*3)/((sqrt(9) - (sqrt(324) - sqrt(9))*3) + (sqrt(1089) - -5*sqrt(1089)) + sqrt(1089) + sqrt(1089)).
-60*sqrt(3)/37
Simplify ((sqrt(396) + 2)*-1 + 5 + sqrt( | {
"pile_set_name": "DM Mathematics"
} |
et w = d - -83. What is the tens digit of w?
2
Suppose -4*d - 1736 = -5*r, 4*r = -4*d + 8*d + 1392. What is the hundreds digit of r?
3
Let b = -205 - -97. Let r be 7/(-3) - (-8)/(-12). What is the tens digit of (1*b/r)/2?
1
Suppose 14 + 6 = -2*i. Let a be (-4 - 7/(-2))*(-26 + 0). Let v = a - i. What is the units digit of v?
3
Let k = -797 + 1390. Suppose 804 = 4*w + 4*q, -k = -7*w + 4*w - 5*q. What is the units digit of w?
6
Suppose -2*r = 4*l - 34, -r = -3*l + r + 22. Let x(h) = -h**3 + 9*h**2 - 8*h + 3. Let g be x(l). Suppose g*w - 30 = w. What is the units digit of w?
5
Let p be ((-27)/(-4))/((-12)/32). Suppose -2*m + 22268 = -5*r, 0*r + 5*m + 8884 = -2*r. What is the units digit of 4/p - r/108?
1
Let k be -1 - -1 - (2*-1 - 2). What is the tens digit of -3 + 180 + k/(-2)?
7
Let w(d) = -10*d - 9. Suppose -k - 1 = 4. What is the units digit of w(k)?
1
Suppose -12*c = 17*c - 174. What is the units digit of c?
6
Suppose 4968 = 4*g + 19*g. What is the tens digit of g?
1
Let j(p) = -p**3 + 14. Let f be j(0). Let a be (-7)/(f/(-4)) - -5. Suppose -2*g = z - 24, 4*g + 43 = 5*z - a. What is the units digit of z?
4
Let f = 4542 + -1579. What is the hundreds digit of f?
9
Suppose 0 = -5*i, -1988 - 1507 = -5*q - 3*i. What is the units digit of q?
9
Suppose -1122 = -2*c + 1530. What is the thousands digit of c?
1
Let a(t) = t**2 + 7*t - 3. Let i be a(-9). Let q = i + -5. Suppose 3*o + 2*o = q. What is the units digit of o?
2
Suppose -29*u - 29*u = -95236. What is the thousands digit of u?
1
Suppose 103*f - 102*f - 3 = 0. Let r(x) = x**2 - x. Let g(d) = 2*d - 3. Let l(a) = g(a) + 5*r(a). What is the units digit of l(f)?
3
Let c be 1 - (55994/(-6) - (-16)/12). What is the units digit of (-6)/21 + c/28?
3
Let f(r) = r**2 + 8*r - 5. Let s be f(-9). Let w be (0 + -2)*(-14)/s. Suppose 0 = w*i - 4*i - 105. What is the units digit of i?
5
Let j(k) = -2*k**2 - 15*k - 46. Let h be j(-9). Let i = 112 + h. What is the units digit of i?
9
What is the units digit of (-1 + 3658/(-10))/(24/(-60))?
7
Let q be 60/36*(0 - -45). Suppose 4*m - 33 = -2*f + q, 0 = 5*f + 3*m - 249. What is the tens digit of f/5 + (-2)/(-5)?
1
Let z(l) = 2*l**2 + 12*l - 20. Let m(r) = -3*r**2 - 13*r + 21. Let n(w) = -3*m(w) - 4*z(w). What is the units digit of n(12)?
3
Let s(j) = 56*j - 20. Let y(h) = 19*h - 7. Let b(p) = -4*s(p) + 11*y(p). What is the tens digit of b(-4)?
6
Let q(b) = b**3 + 16*b**2 - b - 21. Let w be q(-16). What is the units digit of (-46 - 1)/(((-15)/w)/(-3))?
7
Suppose 2*p - 23 = -5*x, 3*x - p = -3 + 8. Suppose 4*b = x*r + 81, -5*b + r = 2*r - 106. What is the tens digit of b?
2
Suppose -j = -0*j. Suppose j = -0*f - f + 2. Suppose 0 = 7*i - f*i - 100. What is the tens digit of i?
2
Let r be 2 + 1431/7 + (-60)/140. Suppose -r = 5*a - 1856. What is the tens digit of a?
3
Let l(q) = q**3 + 10*q**2 + 9*q. Let g be l(-9). Suppose g*n = -3*n + 9, -o - 9 = -4*n. What is the units digit of o?
3
Suppose -c + 1 = -3. Let f(k) = -k + 1. Let g be f(-7). Suppose 3*i - n - n = 21, -4*n + g = c*i. What is the units digit of i?
5
Let w(h) = -2*h**2 + 17*h - 7. Let u be w(8). Let v(l) = 2*l**3 - l**2 + 2*l. What is the units digit of v(u)?
3
Suppose 2*g = 2*c + 3*c - 16, -2*c = -8. What is the tens digit of -2*(-1)/g - (-2 + -10)?
1
Let i be 52*(-26)/8*(-5 - -1). Suppose k = 5*b - 161 - 511, -5*b + i = -3*k. What is the hundreds digit of b?
1
Let v(w) = 12*w - 11. Let t(z) = 25*z - 23. Let g(n) = -6*t(n) + 13*v(n). What is the units digit of g(7)?
7
Let u be 13/(52/1568) + -1. Let p = -197 + u. What is the hundreds digit of p?
1
What is the units digit of ((-1)/(-2))/(22773/(-5694) - -4)?
9
Let k be (-28)/4 - 2/2. Let z be (-1)/(k/(-6))*-32. Suppose w = 5*w - z. What is the units digit of w?
6
Let p(r) = 2*r**3 - 22*r**2 + r - 8. Let a be p(11). Suppose 3*x - 3*t - 21 = 0, 2*t - a*t + 17 = x. What is the units digit of x?
2
Suppose -19*x + 18*x + 34 = 0. Let u = x - 30. Suppose 9*r - u*r + 5*l - 295 = 0, 3*r - 2*l - 172 = 0. What is the tens digit of r?
5
Suppose -10 = 2*y, -4*y - 1436 = 22*x - 23*x. What is the thousands digit of x?
1
Suppose -5*t = -0 + 15, -3*a - 2*t = -2958. What is the hundreds digit of a?
9
What is the tens digit of 5154/15 - 3*8/(-60)?
4
Let d(n) = 82*n - 10. Let u be d(3). Suppose -11*s = -u - 732. What is the units digit of s?
8
What is the thousands digit of 1 - ((-10 - -3 - 2209) + 1)?
2
Suppose -4*y + 49 - 41 = 0. What is the units digit of (13 - 0)/(((-3)/y)/(-3))?
6
Let g(d) = 83*d**3 - 15*d**2 - 3*d - 11. What is the units digit of g(3)?
6
Suppose 9 = 4*v + 33. Let o(a) = a**3 + 3*a**2 + 6*a - 3. Let h(g) = 3*g**3 + 10*g**2 + 18*g - 9. Let s(r) = -3*h(r) + 8*o(r). What is the units digit of s(v)?
9
Let d be 150/20 - (-3)/(-2). Suppose -k = -d*k + 325. What is the tens digit of k?
6
Let j = 596 + -522. What is the tens digit of j?
7
What is the tens digit of ((-929)/5)/(13/(-130))?
5
Let x = -58 + 52. Suppose -3*t = 0, -3*g = -t - 0*t + 9. Let y = g - x. What is the units digit of y?
3
Let v(a) = 2*a**3 + a**2 + 2*a - 2. Let l be v(1). Suppose 0 = 8*z - 5*z - l. What is the tens digit of z/((-1)/(-24) + 0)?
2
Suppose h + 89 = -3*h + 5*p, -4*p = 3*h + 28. Let k(r) = 2*r**2 + 10*r + 1. Let i be k(-7). Let q = h + i. What is the tens digit of q?
1
Let u be (-2)/(-17) - (-261)/(-51). Let v be 35*(0/u - -6). Suppose -4*b + 140 = -2*b - 4*o, -v = -3*b - 2*o. What is the units digit of b?
0
What is the tens digit of (-3009)/(-21) + (46/(-14) - -3)?
4
Let y(x) = -x**2 + 7*x - 7. Let r be y(5). Let d(s) = s + 2. Let b be d(r). Suppose 0*i = b*i - 10. What is the units digit of i?
2
Let z = 2378 + -790. What is the units digit of z?
8
What is the units digit of (19/((-133)/16310))/(-1 - 1)?
5
Let v(n) = 8*n + 34. Let d be v(4). Suppose 3*k = 384 - d. What is the units digit of k?
6
Let k = 227 + -150. Suppose -5*g + 97 = -2*p, 4*g + 2*p - 3*p = k. What is the tens digit of g?
1
Let f(z) = z**3 - 2*z**2 - 10*z + 14. Let g be f(7). Let y = 271 - g. Suppose 4*j - 70 - y = 0. What is the tens digit of j?
3
Let f = 47 - 42. Suppose -f*m + m = -108. What is the tens digit of m?
2
Suppose -4*q + 27 + 189 = -3*i, 179 = 3*q + 2*i. Let b = -241 - -255. Let c = b + q. What is the tens digit of c?
7
Suppose -6*z = 91 - 4291. What is the tens digit of z?
0
Suppose -m = -16 - 180. Let n = m - 368. What is the tens digit of (-6)/21 - n/14?
1
Let y = 1357 + -967. Suppose 70*s + y = 75*s. What is the units digit of s?
8
Suppose 19*n + 4 = 15*n. What is the tens digit of (-15)/5*n + 129?
3
Suppose 9*b - 11652 = -744. What is the hundreds digit of b?
2
Let o be 1/(-4) - (-2709)/36. What is the tens digit of ((-36)/10)/((-5)/o)?
5
Suppose -3*u = 7 + 2. Let q = 5 + u. Suppose -q*x - 136 = -6*x. What is the units digit of x?
4
Let q = 0 - -4. Suppose q*p = p. Suppose -4*j = 3*r - 71, -3*r + p*r + j = -91. What is the units digit of r?
9
Let i(q) = -q**3 - 5*q**2 + q + 7. Let h be i(-5). Suppose 605 = 5*u - 3*x, 2*u + h*u - x - 491 = 0. What is the hundreds digit of u?
1
Suppose -3*p + 8 = 2. Suppose p*g - 3*q - 4 = 0, 4*g - 2*q = -4*q + 8. Suppose -12 = -g*c - 0. What is the units digit of c?
6
Let z(l) = l**2 + 13*l + 2. Let h be z(-13). Let s = h - -1. What is the units digit of 185/15 + 2/s?
3
Let v(l) = -l**3 + 15*l**2 - 13*l + 148. What is the hundreds digit of v(9)?
5
Suppose -21 = 3*b - 72. Suppose -b*h + 2 = -16*h. Suppose 52 = -h*k + 3*k - 2*i, 0 = 4*k + 2*i - 248. What is the units digit of k?
0
Suppose 23*j - 21*j - 1395 = -5*u, -2720 = -4*j + 4*u. What is the tens digit of j?
8
Suppose -j - 93 = -583. Suppose -x + 3*x - j = 0. What is the units digit of x?
5
Suppose 2*p = 4*s - 8, 0 = 5*s - 0*s + 4*p - 23. Suppose 2*j + s*j = 15, t + 9 = 4*j. Suppose 0*b + t*b - 78 = 0. What is the tens digit of b?
2
What is the units digit of (310/(-8))/((-7)/252)?
5
Let l(a) = a**3 + 3*a**2 + 4*a + 3. What is the tens digit of l(8)?
3
Suppose -4*q + 151 = -17. Let p be (-18)/14 - (-12)/q. Let l = 60 + p. What is the units digit of l?
9
What is the units digit of (3/6)/((-2)/(-1756))?
9
Suppose 0*p + p - 3*f + 22 = 0, -3*p + 4*f - 61 = 0. Let v be p/(1/(-7)*1). Suppose u - h = 20, h + v = 5*u + 25. What is the units digit of u?
2
What is the hundreds digit of 3412 + ((-3)/(-9))/(25/(-225))? | {
"pile_set_name": "DM Mathematics"
} |
15. Let l be r(13). Suppose -l*x + 68*x = 0. Suppose x = 8*p - 11*p + 2823. Is p prime?
True
Suppose -2*l - f - 12 + 41 = 0, f - 1 = 0. Suppose 0 = l*i + 3123 - 13525. Is i prime?
True
Suppose 2*z = -6*z + 24728. Let o = z + -1184. Is o composite?
False
Let d(n) = 207*n**2 + 62*n - 1385. Is d(-42) composite?
False
Suppose -2*p = -r + 2089225, -243*r + 245*r = 2*p + 4178432. Is r a prime number?
False
Let j = 18134 - -695. Is j a prime number?
False
Let f be (5/15)/((-2)/(-18)). Let a be (f + -1)*-1 + 1916. Let m = a - -479. Is m a prime number?
True
Let p = 42914 - -156191. Is p prime?
False
Let h(j) be the first derivative of 1000*j**3 + j**2/2 + 23. Is h(-1) a prime number?
True
Let b be -17 - (-5)/((-10)/(-6)). Let w be (-1)/(((-4)/18)/(b/21)). Is 295/15 - 2*w/(-9) prime?
True
Suppose 34*c + 4592 = 55*c - 17437. Is c a prime number?
True
Let n = -3 + 1. Let q be (0 - (-8)/(-10))/((-10)/(-25)). Is -498*(n - 3/q) a prime number?
False
Suppose -16*c + 7907134 = 2826510. Is c a prime number?
True
Suppose -182 = 13*b - 247. Is -1*(b - 3156)*1 a prime number?
False
Suppose -17*l + 16*l + f + 242715 = 0, 0 = 2*f + 4. Is l composite?
False
Is (26/(-117) - 168313/(-18))*2 a prime number?
True
Suppose 14*a - 1 = 41. Suppose 641 = 3*i - 4*c - 0*c, -a*c + 416 = 2*i. Is i a composite number?
False
Let q(i) = -i**3 - 4*i**2 + 5*i. Let y be q(-5). Let p be ((-46)/3)/(2/(-33)) - y. Is (p - 2) + 6 + -7 - 3 a composite number?
True
Let r(c) = -117110*c - 6987. Is r(-10) prime?
False
Let q = -31392 - -62215. Is q a composite number?
True
Let q(t) = -20*t + 34*t + 100*t**2 - 16*t - 40. Let r be q(-6). Suppose -2*c + 4465 = 5*h, 0*c - r = -4*h - 3*c. Is h composite?
True
Suppose 3 = -2*w - 5, 5*w = -4*l + 5176. Suppose -l = -3*y + q + 205, -y + 494 = -4*q. Suppose 2*u = 4*u - y. Is u a composite number?
False
Suppose -4 = 8*n - 20. Suppose -n*t = -x + 2588, 2*t + 10391 = 4*x + 7*t. Is x prime?
False
Let w be 3/(-2) + (3 - 14/4). Let p be 1161 + w + -4 + 1. Suppose p + 2115 = a. Is a prime?
True
Let n(z) = 2753*z - 34. Let g be n(8). Suppose 2*x + 8*x = g. Is x a composite number?
True
Let a(j) = 607*j + 3. Let u be a(10). Is 5 + (-25)/5 + u a prime number?
True
Is (-816)/(-1632)*(0 - -889478) a prime number?
True
Let c(r) = -4*r. Let y be c(0). Let z be (y - -3)*148*(-2)/(-3). Suppose -9*n = -5*n - z. Is n a prime number?
False
Let o be -1*(43 + -43)*(-1)/3. Suppose o = -75*x + 141405 - 57855. Is x a composite number?
True
Suppose -3*b + 16*c - 14*c + 40661 = 0, -4*b = -c - 54213. Is b a composite number?
False
Let f = 8515 + 24964. Is f a composite number?
False
Suppose -3*r - 4*p + 16 = r, p = 5*r - 14. Suppose 20*w - 2 - 38 = 0. Suppose -2*b = r*g - g - 3960, b = -w*g + 1979. Is b a prime number?
False
Let n(l) = 3*l**3 - 21*l**2 + 40*l - 103. Is n(57) composite?
True
Let j(q) = -12 - 3*q + q**2 - 43 - 151. Let b be j(0). Is (-16)/(-24) - b/6 prime?
False
Suppose -8*m - 2 = 310. Let z = -44 - m. Let i(v) = 18*v**2 + 2*v + 11. Is i(z) a composite number?
True
Suppose -4*u = u + 6*u. Suppose 6*o - 7184 - 23638 = u. Is o composite?
True
Let w(u) = 51*u - 80. Let z be w(17). Let c = z - -495. Is c composite?
True
Let l = 47567 - -115712. Is l composite?
True
Let v(s) = -85*s - 156. Let c(u) = -35*u**3 - u**2 + 1. Let m be c(1). Is v(m) a composite number?
False
Suppose -3*y + j + 121401 = -376265, 0 = -y - j + 165890. Is y a composite number?
True
Suppose d - 418 = -4*y, -3*y + 529 = 2*y - 2*d. Suppose h + y = -110. Let j = 236 - h. Is j prime?
False
Let q = -27 - -22. Let y be 6/q*(-5)/2. Suppose m - y*m = 2*h - 168, -m = 4*h - 69. Is m composite?
False
Is (-45)/(-21) + -3 + 135490*(-11)/(-154) prime?
True
Let y = -1 + 0. Let w(a) be the second derivative of -419*a**3/2 + 5*a**2/2 + 3*a - 590. Is w(y) a composite number?
True
Is (112/(-280))/(2/(-499910)) prime?
False
Let k = -49 - -59. Suppose 4 = -7*s - k. Is -11 - -10 - (-1280 - s) prime?
True
Let x = -116759 + 165196. Is x a composite number?
False
Suppose 2*n + 2*o = 78, 0*n + 5*o = -4*n + 161. Suppose 39*q + 4*a = n*q + 48681, 19462 = 2*q - a. Is q a prime number?
True
Let o(m) = -31*m - 5. Let q be o(3). Let c = 102 + q. Suppose 0 = -c*k - 5*v + 1663, -2130 = -3*k - 2*k + 4*v. Is k prime?
False
Let b = -8365 + 8368. Let s = 862 - 473. Suppose 3*q - 92 = b*j - s, 483 = 5*j + q. Is j a prime number?
True
Let b(m) = -m**2 - 5*m + 2. Let p be b(-5). Suppose 3*d - p*i - 10967 = 0, 5*d - 5*i - 18275 = -i. Is d a prime number?
True
Suppose -2*m - 14810 = -4*f, 2*m + 3707 = 3*f - 2*f. Let b = f - -9528. Is b composite?
False
Let p = -27618 + 55385. Is p a prime number?
True
Suppose 0*z + 5*d = 4*z - 39, -2*z - 3 = 5*d. Is 6 + (-54)/z + 9964 prime?
False
Suppose 28 = -0*h + 7*h. Suppose h*u = 20, -4 = 2*s - 3*u + u. Suppose 4*c - 5763 = s*x - 1227, 0 = 5*c + 4*x - 5701. Is c a composite number?
True
Let v = -309 + 315. Let b(i) = 17*i + 215. Is b(v) a prime number?
True
Let k(g) = -15*g**3 - 19*g**2 - 266*g + 85. Is k(-32) prime?
True
Let t(q) = 27477*q - 217. Is t(2) prime?
False
Suppose -30 = -8*f - 2*f. Suppose 7 = 5*t - f*q + 2*q, t + 2*q = 8. Suppose t*v = 589 + 39. Is v composite?
True
Is ((-58)/9)/((-246)/1004049) a prime number?
False
Let n(s) = 2228*s + 561. Is n(1) prime?
True
Suppose -40*z = -50*z + 15350. Is z prime?
False
Let q(k) = -46579*k - 2324. Is q(-25) a prime number?
False
Let f(m) = 17*m**3 - 2*m**2 - 3*m + 5. Suppose -u + 2*u + 4 = 0. Let r be (-5 - (-6 - -2))*u. Is f(r) a prime number?
True
Let x(n) = 4236*n**2 - 28*n - 305. Is x(-7) composite?
True
Let z(k) = k - 2. Let y(r) = 10*r + 21. Let n(c) = y(c) + 6*z(c). Let p be n(-1). Is 2/7 + ((-2420)/p - -1) composite?
False
Is (-9)/9*-1201*(6 - -551) composite?
True
Let h(t) = 16*t - 13. Let d be h(6). Let m = 590 + d. Is m composite?
False
Suppose -45 = 315*v - 312*v. Let g(x) = 71*x**2 + 25*x + 181. Is g(v) a composite number?
True
Suppose 0 = 4*p + 11*p + 555. Let z be 3830 + p - 2/2. Suppose -4*o + 5935 = 4*h + 899, -3*h + z = -2*o. Is h composite?
True
Suppose -4*v - 36*v + 5129922 = 2*v. Is v composite?
True
Let g be (-4 - 0/1) + (-72)/(-6). Is (g/12)/(1/((-7377)/(-2))) composite?
False
Let a = 154 + -124. Is (-4629*2/a)/((-1)/5) composite?
False
Suppose 71*g = -6*g + 9823891. Is g composite?
False
Suppose 0 = 13*y - 158193 - 116614. Is y a prime number?
True
Suppose -45 = -6*h + 3*h. Let s(i) = 10 + 12*i - 16*i + 4*i**2 - 47. Is s(h) prime?
False
Let k = 1414 + -4024. Let l = k - -3659. Is l prime?
True
Let r(x) = -2*x - 36. Let y be r(-15). Let h be (-2)/y*-3 + 76. Let s = 202 - h. Is s a prime number?
True
Suppose j = 5*b - 5, -5*b + 0*b = 5*j - 35. Suppose 973 = j*s - 1602. Is s composite?
True
Let l = 32501 + 103956. Is l prime?
False
Let f(c) = 4074*c - 11373*c - 3640*c + 40. Is f(-1) composite?
False
Is (-225831)/(-2)*15/(675/(-10))*-39 composite?
True
Suppose -4*j + 7*y = 5*y - 22, j - 8 = y. Suppose 0*r - q = j*r - 31269, -5*q + 31269 = 3*r. Is r composite?
True
Let q(d) = -d**3 - 5*d**2 - d - 2. Let v(c) = -2*c + 35. Let y be v(20). Let b be q(y). Is b/(-6)*(6*-3299)/3 composite?
False
Suppose -21*c = -3*g - 22*c + 1013167, -2*g + 675426 = -4*c. Is g composite?
False
Suppose 3*f - 64 = 3*j - 184, f = -j + 50. Let d = -43 + j. Is d*(-2)/16 + 14559/12 a composite number?
False
Suppose -5*t - 4*p = -24, 5*t - 12 - 24 = -p. Suppose d = 6 - t. Is -3 + 447/(-6)*d prime?
False
Let r = -51504 - -131261. Is r a prime number?
True
Let a = -1381 + 70688. Is a prime?
False
Let a(k) = 1044*k - 2723. Is a(53) a prime number?
True
Let i = 940 + -548. Suppose -i = f + 384. Let v = -75 - f. Is v prime?
True
Let u = -1842 - -570. Let z = u + 3089. Is z a prime number?
False
Let h(l) = 39*l**2 - 5*l + 127. Is h(10) composite?
True
Let l(w) = 3*w**3 + 53*w**2 - 42*w + 14. Let q(x) = x**3 + 18*x**2 - 14*x + 5. Let m(u) = -6*l(u) + 17*q(u). Let t be m(-13). Is (-7 - t) + 59 + 1 prime?
False
Let k(f) = 26*f**3 - f**2 + f - 7. Let z be k(-5). Let g = 5597 + z. Let q = 3961 - g. Is q prime?
False
Let y be (-19)/(-5) - (19/5 - 3). Suppose -3*f = -y*o + 6129, 0*o - 8152 = -4*o - f. Is o a composite number?
False
Suppose -11*s = 18 - 73. Suppose -4*f = 3*g - 53, -g + 0*f = -5*f - s. Is (-5)/(g/(-9)) + 1438 a composite number?
True
Let u = 70812 - | {
"pile_set_name": "DM Mathematics"
} |
-r = -o*r. Solve -3*i = -z + 16, 0 = 2*z + 3*i + 13 - r for z.
1
Suppose -105 = -5*x - 5*z, -5*x + 99 = -3*z + 2*z. Solve -l = -5*t + 4 + 19, x = 4*t for l.
2
Let h = -169 - -185. Solve -h = -3*z - 4*u, -3*z + u = 3*u - 8 for z.
0
Suppose 5*v - 3 = -q, 5*q - 2 = -2*v + 13. Solve -2*c = -2*a - 2, v = 5*a - 3*a + c - 4 for a.
1
Suppose -z + d = 4*d - 17, -3*d = -12. Suppose 42 = z*b + 2. Let g be -2*(-1)/(-12) - 190/(-60). Solve -4*v + 6 = g*a, -5*a + 4*v + b = -2 for a.
2
Let g(n) = -n**3 - 2*n**2 - 2*n - 1. Let y be g(-2). Let o = y - -2. Solve -o*c + 7 = -c + m, 4*c - 5*m = 37 for c.
3
Suppose -2*k - 2 = 0, 0 = j + k + k - 2. Solve x + j*b = -8, 0*b = 3*x + b + 2 for x.
0
Suppose -5*m - 2*b + 17 = 0, 2*b + 13 = 5*m - 0*m. Suppose -3*t = 6, -m*t + 4 = -3*c + 22. Solve -2*i = -2*n - 8, 3*n + 0 = i - c for i.
4
Let q = -2 - -2. Let l = q + 2. Let t be 6*((-2)/6 - -1). Solve -5*a = t*u - 41, l*u + 0 = 2*a - 2 for a.
5
Let n = 37 - 37. Solve 4*m - 5*c - 16 = n, 0 = -3*m + 2*m + 5*c + 4 for m.
4
Let q be 2/2*(3 - -1). Let h(p) = p**2 - 2*p + 1. Let a be h(1). Suppose 2*u + 58 = 5*i, 0 = 5*i - a*u - u - 59. Solve -3*w + 28 = -q*k, k = -k - 5*w + i for k.
-4
Suppose 7*x = 3*x + p + 2, -2*x - 5*p - 10 = 0. Suppose -3*m - 18 = -6*m. Suppose 0*u - m*u = -18. Solve 0 = 4*c - 2*k - 2, -3*k = -3*c + u - x for c.
0
Let z be 2 + 11 + -2 + 1. Solve 21 = -2*i + 5*x, -2*i - i + x - z = 0 for i.
-3
Let c(s) = s**2 + 8*s - 9. Let q be c(-10). Let g = 11 - q. Let z = 4 + -1. Solve 0 = 2*y + n + 6, -2*y - z*n = -g*y + 2 for y.
-4
Let u be 24/14 + 2/7. Suppose -d + 6*d = -u*x + 19, x = 4*d - 10. Solve -1 = -4*w - 4*c - 25, 6 = -d*c for w.
-4
Let f(r) = r - 4. Let z = -14 + 21. Let w be f(z). Solve 3*v = -n + 11, -v + 12 = w*n - 5 for v.
2
Let f = 26 + -14. Suppose -2*t = 2 - f. Solve 2*w - 20 = t*y - 3*w, 12 = 4*y + 3*w for y.
0
Let f = -20 + 24. Let m be (f/14)/((-6)/(-84)). Solve -m*n + 9*n - 9 = -2*j, 0 = j + 5*n - 12 for j.
-3
Let n(h) = h**2 - 6*h - 21. Let k be n(10). Solve -11 = 2*l - 6*s + s, 5*l - 4*s = -k for l.
-3
Let b be 3 - ((-1 - -3) + 1). Suppose 3*q + q + 16 = b. Let h be ((-2)/(-3))/(q/(-30)). Solve h*x = 2*m - 9, 4*x = -3*m + 2*m - 2 for m.
2
Let d = 11 + -11. Solve 29 = -2*q + 5*a - 0, -2*q - 5*a + 21 = d for q.
-2
Let m = 9 + -4. Solve 2*j = -m*c + 17, 2*j - 5*c + 19 = 6 for j.
1
Let o = -1 - 4. Let p(w) = -w**2 - 7*w - 7. Let y be p(o). Let f = 5 - y. Solve 4*s - 4*j = f - 22, -4*j = -s - 8 for s.
-4
Let c(z) = -2*z + 1 + 0*z + z. Let v be c(-2). Let q = 0 + 0. Solve -4*s - 16 = 4*n - q, -2*s - v = n for n.
-5
Let c(z) = -37*z - 18. Let s be c(6). Let v be (s/(-32))/((-2)/(-4)). Solve 2*n - 4*w = -18, 0 = n + 2*w + 2*w - v for n.
-1
Let f = 8 + -3. Let l(h) = -h + 5. Let u be l(f). Suppose 4*g + u*g - 16 = 0. Solve j = -y + 1, 2*y + 14 = -2*j + g*j for j.
4
Let d be 65/15 + 2*(-2)/12. Solve -5*t = d*k + 9, 3*t + 4*k - 1 = -0*k for t.
-5
Suppose 2*a = -0*a + 6*a. Solve -5 + 1 = q, 2*h - 4*q - 12 = a for h.
-2
Suppose -7*s - 24 + 52 = 0. Solve 0 = -4*d - 3*k + 11, -5*d - s + 26 = k for d.
5
Let g = 5 + -2. Let p be ((3 - 3)*1)/1. Suppose -2*c + 22 = -p*c. Solve g*x - 12 = -6*o + o, 4*o = -x + c for o.
3
Suppose -18 = -2*j - 3*j - b, 0 = 2*j + 4*b. Solve -j*d + 16 = 0, -h + 5 = -4*h + 2*d for h.
1
Let h be 99/55 - 1/(-5). Solve -h*f + 4 = -2*q + 3*q, -3*q = -5*f - 1 for q.
2
Let m = -10 - -15. Let y(v) = -v**3 + 4*v**2 + 5*v + 3. Let s be y(m). Solve -f - 3*g = 10, 4*g = -2*f - s - 11 for f.
-1
Let i be 2/(7/3 - 2). Suppose 5*g = -n + 16, 7 = n - i*n + 4*g. Solve -2*b = -b - n, 5*j = 4*b + 6 for j.
2
Let w = -26 - -31. Suppose 0*c - 4*c = -16. Solve 4*t - 5*t - 4*d = c, 5*d + w = 0 for t.
0
Let f = 6 + -6. Suppose m - 4 = s, -5*s + 3*m - m - 17 = f. Let k be (5/2 + s)*0. Solve -b = 2, 3*n - 25 = -k*n + 5*b for n.
5
Let p be -1*(-2 + -2) - 2. Solve 2*z - 3 = -p*v + 3, -5*z = 2*v - 3 for v.
4
Let t(f) = -3*f. Let p be t(-1). Let g be (-168)/(-36) - 2/p. Solve 3*h + 6 = 3*w, 2*h + 6*w = 2*w - g for h.
-2
Suppose -14*t = -16*t + 84. Let b be t/4 + 18/(-12). Suppose 0 = -s - 5*l - 18, s + s = -5*l - 16. Solve -o - k = s*k - 5, 0 = -3*k + b for o.
-4
Suppose 0 = r + 1 - 2. Let k = 6 - r. Suppose -19*q - 5*m - 21 = -23*q, 3*q - 11 = -m. Solve 0 = 5*z - k*l + 10, -3*l = 5*z - q*l + 22 for z.
-5
Suppose -11*v = 18 - 73. Solve 4*i = -3*z + v*z - 8, -z = 5*i + 24 for i.
-4
Suppose 2 - 6 = -g. Solve -g*n = -3*n + 2*m + 1, 4*m = -4 for n.
1
Let g(y) = -y**2 + 10*y - 21. Let d be g(6). Solve 6 = -t + d*r, 0 = 4*t - t + 5*r - 10 for t.
0
Let t(f) = -f - 1. Suppose -10 = -2*r - 26. Let z be t(r). Solve u - z = -3*b, 3*u + 33 = -2*u + 2*b for u.
-5
Let x be (-4)/2*(-3)/(-6) - -1. Solve -4*o = 2*i - 20, x = -0*o - o + i + 2 for o.
4
Let z be (10/4)/((-2)/(-16)). Let p = -10 + z. Solve 4*k - 2*v + 16 = -p, -27 = 3*k - 4*v for k.
-5
Let k be (0*1/(-2))/(-1). Solve -v = -5*s + 30, -s + 3*v + 20 = -k*s for s.
5
Let b(v) = -v**3 - v**2 - 2*v - 2. Let x be b(-2). Solve 0 = u - 5*n + 10, u = 2*u - n + x for u.
-5
Suppose -6 = -3*h - 0. Suppose f = 3*f - 6. Let z be ((-15)/(-1))/(f - 2). Solve -l = 5*o - z, -h*o + 27 = 5*l - 2 for o.
2
Let x = 14 + -6. Let z(b) = -b + 7. Let g be z(6). Suppose -3*m = -6*m + 9. Solve -x = 5*v + 3*n, 3*v + v + g = m*n for v.
-1
Suppose 3*g = 5*p - 26 + 74, -2*p - 44 = 5*g. Let z be 4/p*-9 - 0. Solve -k = -2*h + 13, h - z*h + 28 = -4*k for h.
4
Suppose 2 = -3*t + 5. Let y be (t - -1)/(-2) + 4. Solve -5*u = y*v + 2*v + 20, -3*u + 5*v - 20 = 0 for u.
-5
Let s(q) = q**2 - q. Let c be s(0). Suppose c = -3*z + 4*b + 25, 0*z - 5 = 5*z + 5*b. Solve 2*m + 1 + 1 = 0, 0 = z*t - 4*m - 10 for t.
2
Let k(f) = f**2. Let q be k(3). Suppose -3*v + 12 = v + 3*s, -3*v - 5*s = -q. Solve 0 = -v*l - 0*l, 2*l = 3*c - 6 for c.
2
Let j(b) be the second derivative of b**3/6 - 11*b**2/2 + 5*b. Let p be j(13). Solve -3*k = x + p*k + 15, 3*x - k + 13 = 0 for x.
-5
Suppose 117*z = 120*z. Solve -5 = -3*y - z*s + 5*s, -3*y - 27 = 3*s for y.
-5
Let q(o) be the first derivative of o**2/2 + 4*o + 1. Let h be q(0). Let z(g) = -g - 19. Let b be z(-22). Solve 0 = 4*x - h*a + 8, b*a - 18 = 4*x - 7*x for x.
2
Suppose 0 = 4*g - 0*y - y - 9, 4*y + 14 = 5*g. Let n be g/(-4) - (-10)/4. Solve -n*h + 5*r = -33, 3*h + 0 - 2 = -2*r for h.
4
Suppose 0 = 4*d + 1 - 5. Suppose 3*m - i + d = 0, 2 = -3*m + 4*i - 2*i. Solve -4*y = -u - 4*u - 35, 2*u - y + 11 = m for u.
-3
Let l(g) = g**3 - 11*g**2 - g + 13. Let n be l(11). Suppose 0 = -6*d + n*d + 16. Solve a + d*b + 11 = 0, -2*a - 5*b - 5 = a for a.
5
Let m = -18 + 47. Suppose 5*w = -96 - 9. Let q = w + m. Solve 0 = -2*j + s - 3, -4*j - q*s - 13 = -3*s for j.
-2
Let j = -3 - -2. Let p(l) be the third derivative of -l**6/30 + l**4/24 + 9*l**2. Let g be p(j). Solve -g = u - 1, -8 = -3*b + 4*u for b.
0
Let i(u) = -8*u - 4. Let m be i(-3). Suppose -3*h - m = -7*h. Solve h*g - 15 = 0, -p + 5*g - 17 + 4 = 0 for p.
2
Suppose 12*v - 45 - 3 = 0. Solve -2*u + 12 = -4*h, -2*h - 9 = -v*u + 3*h for u.
-4
Let f be ((-510)/68)/((-6)/4). Solve 0 = f*u - h - 16, -2*h - 4 = -2*u - h for u.
4
Let m(j) = j**3 - j**2 - 3*j - 2. Let w be m(4). Let q = w + -18. Solve 4*c + d + 28 = -2*d, 5*c = d - q for c.
-4
Let r(c) = c**2 + 5. Let q be (-2)/6 + (-2)/(-6). Let s be r(q). Let l = 42 + -38. Solve -l*u + 24 = k + 4*k, 0 = -s*k + u + 19 for k.
4
Let t be ((-21)/(-35))/(2/10). Suppose -2*z = -5*z + t. Solve 0 = 3*b - 5*h - z - 24, 5*b = 2*h + 29 for b.
5
Let y(j) = j**3 + 6*j**2 + 2*j - 2. Let h be y(-4). Let o = h - 17. Solve -4*n + 25 = n, -2*g - 19 = -o*n for g.
3
Let h = -1 - -5. Suppose -a = -2*a + 1, -3*a = -h*r - 3. Let f(n) = -2*n - 6. Let j be f(-7). Solve 0*m - 2*m - j = 0, 2*u + m + 12 = r for u.
-4
Let c(y) = -y**3 - y**2 + 2*y. Let r be c(-3). Let n = -21 + 24. Let o be -2 + (-2 - -31 - 0). Solve 3*h = -r, -n = -3*j - 3*h - o for j.
-4
Suppose -4*b + 9*b + 2 = v, 10 = 5*v + 3*b. Let u = v + 3. Suppose -3*f = -u*i - 7, f - 4*i = -f + 4. Solve 2*o + y = 4, o + 9*y - 11 = f*y for o.
1
Let u = 0 + -16. Let x be (7/4)/(4/u). Let p = -7 - x. Solve p = -m - 5*l, -2*l = -l - 1 for m.
-5
Let q(i) = -2*i - 5. Let r be q(-4). Suppose r*w = 7*w - 12. Let j be ((-20)/(-6))/(2/3). Solve 4*c + 5*o = j, -w*c + 5*o + 2 = 7 for c.
0
Let a be 7 + 1/6 + (-52)/24. Solve - | {
"pile_set_name": "DM Mathematics"
} |
is prob of sequence dr when two letters picked without replacement from {r: 1, c: 1, d: 3, k: 7, f: 7, t: 1}?
3/380
Two letters picked without replacement from {z: 3, k: 5}. Give prob of sequence kk.
5/14
What is prob of sequence rxix when four letters picked without replacement from {x: 5, p: 2, r: 1, z: 1, i: 3}?
1/198
Four letters picked without replacement from bbbbubbbub. Give prob of sequence bbbu.
2/15
Calculate prob of sequence wbi when three letters picked without replacement from vvvbivwikpvii.
1/429
What is prob of sequence biii when four letters picked without replacement from {b: 1, i: 3}?
1/4
What is prob of sequence sg when two letters picked without replacement from jtjgsjsjjjjgtjsjjjs?
4/171
Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}.
1
Calculate prob of sequence bc when two letters picked without replacement from aabcatc.
1/21
Two letters picked without replacement from oiooio. Give prob of sequence io.
4/15
What is prob of sequence ls when two letters picked without replacement from {q: 8, p: 6, s: 1, l: 1, n: 2}?
1/306
Two letters picked without replacement from qqyqt. Give prob of sequence yq.
3/20
Calculate prob of sequence tt when two letters picked without replacement from {t: 12, o: 3, a: 1}.
11/20
Calculate prob of sequence vhc when three letters picked without replacement from {v: 4, c: 1, h: 1, k: 2, w: 4, f: 6}.
1/1224
Two letters picked without replacement from kdkrkddddrndkxkkdnrr. What is prob of sequence nk?
3/95
What is prob of sequence eeee when four letters picked without replacement from {q: 2, e: 11}?
6/13
Four letters picked without replacement from ooooooooououooouoo. Give prob of sequence uuuu.
0
What is prob of sequence ekk when three letters picked without replacement from {e: 6, o: 3, x: 3, k: 3}?
6/455
Calculate prob of sequence hh when two letters picked without replacement from {h: 3, b: 5, r: 1}.
1/12
Four letters picked without replacement from lllamqmmmmlsmqmmll. Give prob of sequence llmm.
7/306
Calculate prob of sequence hnyn when four letters picked without replacement from mnyhyn.
1/90
Three letters picked without replacement from jqqqjjqqqqqqlqqqq. Give prob of sequence qjl.
13/1360
Calculate prob of sequence iff when three letters picked without replacement from {i: 2, f: 2}.
1/6
What is prob of sequence koff when four letters picked without replacement from kfkyvfooofk?
3/440
Calculate prob of sequence uuku when four letters picked without replacement from uukuuuuukkk.
7/66
Calculate prob of sequence rcrc when four letters picked without replacement from {r: 13, c: 3}.
3/140
Three letters picked without replacement from ooooioiiiuev. What is prob of sequence iou?
1/66
Calculate prob of sequence ssss when four letters picked without replacement from ssss.
1
Four letters picked without replacement from tmtbrppprjjb. What is prob of sequence btpt?
1/990
Four letters picked without replacement from {i: 7, n: 2, d: 2, b: 1, f: 8}. What is prob of sequence idin?
7/4845
Four letters picked without replacement from oooooooooo. What is prob of sequence oooo?
1
Two letters picked without replacement from iiiyioivioviij. Give prob of sequence yi.
4/91
What is prob of sequence fn when two letters picked without replacement from gffffffln?
1/12
What is prob of sequence vxt when three letters picked without replacement from {t: 3, v: 8, x: 3, y: 1, r: 1, a: 2}?
1/68
What is prob of sequence zh when two letters picked without replacement from {s: 3, h: 1, z: 3}?
1/14
Calculate prob of sequence sa when two letters picked without replacement from {f: 1, s: 1, g: 2, x: 1, a: 1, r: 1}.
1/42
What is prob of sequence ww when two letters picked without replacement from {j: 1, r: 1, w: 2}?
1/6
Two letters picked without replacement from bdddddddbbdddd. Give prob of sequence db.
33/182
What is prob of sequence djdj when four letters picked without replacement from jdddjjddjjdjdjdjjjdj?
22/323
Three letters picked without replacement from {a: 2, v: 5, g: 5, u: 3}. Give prob of sequence vgv.
10/273
Calculate prob of sequence nyt when three letters picked without replacement from annyynlnlttnanantya.
7/646
Calculate prob of sequence neng when four letters picked without replacement from {e: 6, l: 1, n: 2, c: 1, g: 8}.
1/765
Four letters picked without replacement from {q: 3, j: 2, f: 5}. What is prob of sequence jfff?
1/42
What is prob of sequence cu when two letters picked without replacement from fcsuscssyyuyuusu?
1/24
Calculate prob of sequence bbtb when four letters picked without replacement from {i: 1, b: 6, t: 8}.
8/273
Calculate prob of sequence ell when three letters picked without replacement from {k: 1, l: 2, c: 1, e: 13}.
13/2040
What is prob of sequence oo when two letters picked without replacement from lllolllllllol?
1/78
Calculate prob of sequence wddq when four letters picked without replacement from wddwoqwwwoodooqood.
1/612
Four letters picked without replacement from anananaa. What is prob of sequence nann?
1/56
Two letters picked without replacement from oujunjffz. What is prob of sequence uu?
1/36
Calculate prob of sequence mh when two letters picked without replacement from qhmppqrihhmpmqhi.
1/20
Three letters picked without replacement from pxppbpggpbpgbbbxv. What is prob of sequence gvb?
1/272
Two letters picked without replacement from {j: 1, n: 9, x: 1}. What is prob of sequence jn?
9/110
What is prob of sequence jx when two letters picked without replacement from {t: 1, x: 1, j: 2, u: 2, y: 1}?
1/21
What is prob of sequence lrl when three letters picked without replacement from {a: 1, o: 5, r: 3, l: 9}?
3/68
Four letters picked without replacement from arykanyx. Give prob of sequence kxyr.
1/840
Four letters picked without replacement from {i: 7, m: 1, w: 5, t: 5}. Give prob of sequence tiwi.
35/2448
Three letters picked without replacement from ococotooocotcoiooco. What is prob of sequence oio?
55/2907
Calculate prob of sequence hykk when four letters picked without replacement from kkkkckockhykkkchkkc.
55/23256
Four letters picked without replacement from {n: 1, x: 1, r: 2, f: 1, w: 1, b: 1}. What is prob of sequence rwxn?
1/420
Three letters picked without replacement from vvvlvvuwlhluhlsuvh. What is prob of sequence shw?
1/1632
Four letters picked without replacement from toxnrsstr. What is prob of sequence srnx?
1/756
Four letters picked without replacement from {c: 3, t: 3}. What is prob of sequence tctc?
1/10
Calculate prob of sequence oull when four letters picked without replacement from luoooouoolo.
7/1980
Calculate prob of sequence wm when two letters picked without replacement from {t: 1, w: 2, m: 1, f: 1}.
1/10
What is prob of sequence yyy when three letters picked without replacement from kkkyyyykkyky?
1/11
What is prob of sequence qqf when three letters picked without replacement from qqqffqfqqqfff?
21/143
What is prob of sequence vvvv when four letters picked without replacement from vmvvvmvvvv?
1/3
Two letters picked without replacement from eyyyyyyrgeevyyylvy. What is prob of sequence yv?
10/153
Calculate prob of sequence xz when two letters picked without replacement from zxzxxxxxxxxxxxzzxz.
65/306
Two letters picked without replacement from zsfzgdf. Give prob of sequence gd.
1/42
What is prob of sequence qcoq when four letters picked without replacement from ooqoovoccqqu?
1/198
Four letters picked without replacement from rmzzazzras. What is prob of sequence zsrr?
1/630
Two letters picked without replacement from xxggllqxqgylggq. What is prob of sequence qg?
1/14
What is prob of sequence yyu when three letters picked without replacement from ubbbyyy?
1/35
Two letters picked without replacement from fofqoof. What is prob of sequence fq?
1/14
What is prob of sequence rff when three letters picked without replacement from {f: 8, r: 6, z: 3}?
7/85
Calculate prob of sequence will when four letters picked without replacement from kwsskiweisklilk.
1/2730
Two letters picked without replacement from {r: 1, s: 5, q: 4, j: 3}. Give prob of sequence jr.
1/52
Two letters picked without replacement from {n: 2, z: 8}. Give prob of sequence nz.
8/45
Calculate prob of sequence dg when two letters picked without replacement from mgdn | {
"pile_set_name": "DM Mathematics"
} |
-89760*y**3
Suppose 5*w = 3*s + 30, -w + 4*s - 2*s + 6 = 0. Let h be (-1)/(-3 + w)*-12. Find the second derivative of -3*p**3 + 0*p**3 - 9*p + 3*p + h*p**3 wrt p.
6*p
Let u(r) = -r**3 - 7*r**2 + r + 10. Let z be u(-7). Suppose -8*k + 10 = -z*k. Find the first derivative of -a**2 - 4 - k*a**2 + 3 - 2*a**2 wrt a.
-10*a
Suppose -2*z = v, -v - 3 = z - 1. Suppose 0 = -3*r + z*r + 4. Find the first derivative of r + 0*k**2 - 3 + 4 + 6*k**2 wrt k.
12*k
Suppose 2*m - 49 - 63 = 0. Suppose -2*g + 10*g - m = 0. What is the second derivative of 15*w**5 - 11*w + 18*w + g*w wrt w?
300*w**3
Let n = -172 + 175. Let f(v) be the first derivative of 0*v**n + 4 - 3/4*v**4 + 0*v - v**2. What is the second derivative of f(c) wrt c?
-18*c
Let x(t) be the first derivative of -10*t + 11 + 13/2*t**2. Differentiate x(y) with respect to y.
13
Let m(b) be the third derivative of 211*b**4/8 + 236*b**3/3 + 481*b**2. Differentiate m(n) with respect to n.
633
Let y(l) = -1425*l**3 + 5*l**2 - 131*l + 50. Let q(z) = 713*z**3 - 2*z**2 + 65*z - 20. Let m(k) = -5*q(k) - 2*y(k). What is the second derivative of m(i) wrt i?
-4290*i
Let s(a) = -4*a + 2. Let q(w) = 234*w - 21. Let y(p) = -2*q(p) - 30*s(p). What is the first derivative of y(z) wrt z?
-348
Let t(a) = -a**3. Let g(w) = -43*w**3 - 40*w**2. Suppose -9*n - 2 = -11*n. Let x(d) = n*g(d) + 2*t(d). Find the third derivative of x(s) wrt s.
-270
Suppose 0*l - 15 = -5*l. Find the second derivative of -7*x**5 - 8*x**3 - 7*x**3 + 15*x**l - 5*x wrt x.
-140*x**3
Suppose 2*n = -108 + 112. Find the third derivative of 1066*c - 27*c**6 - 1066*c - 39*c**n wrt c.
-3240*c**3
Let u = -3 + 7. Differentiate -13*k**4 + k**2 + 2*k**u - k**2 + 10 with respect to k.
-44*k**3
Let r = 90 - 88. Find the third derivative of -6*h**5 + 0*h**2 - 2*h**r - 13*h**2 - 9*h**5 wrt h.
-900*h**2
What is the third derivative of -79 + 154 - 210*z**2 - 75 - 65*z**4 wrt z?
-1560*z
Suppose 5*h - 113 = 2*w, 2*w + 3*h + 2 + 103 = 0. Let d = w + 89. What is the first derivative of 9 - 3 + 5*p**4 + d*p**3 - 35*p**3 wrt p?
20*p**3
Suppose 2*w - 5*i + 1 = 0, -5*w + 0*i - 2*i + 12 = 0. Find the third derivative of -7*d**4 + 12*d**4 - 12*d**w + 15*d**5 - 5*d**4 wrt d.
900*d**2
Let f(j) be the first derivative of 140*j**3/3 - 4*j**2 + 6*j - 49. Find the second derivative of f(n) wrt n.
280
Let p be 49 + (2 + 0 + 1)/1. Find the second derivative of -26*a + p*a - 38*a + 9*a**4 wrt a.
108*a**2
Find the third derivative of -580*x**2 + 81*x**2 - 9*x**4 + 6*x**6 - 14*x**5 + 8*x**5 + 6*x**5 wrt x.
720*x**3 - 216*x
Find the first derivative of -b + 16*b + 88 + 14*b - b + 3*b**2 wrt b.
6*b + 28
Let k(v) = -8*v - 59. Let r(z) = 34*z + 235. Let g(i) = 9*k(i) + 2*r(i). Find the first derivative of g(f) wrt f.
-4
Suppose -3*h = -0*h + 2*g - 9, -h + 2*g + 11 = 0. Differentiate h*x**3 + x**2 - x**2 - 16*x**3 - 12 with respect to x.
-33*x**2
Let y(s) = -90*s**4 - 6*s**3 + 3*s - 75. Let r(j) = -90*j**4 - 4*j**3 + 2*j - 76. Let u(f) = -3*r(f) + 2*y(f). Find the first derivative of u(l) wrt l.
360*l**3
Let v be (4 + 0)*2/4. Suppose -5*q = -2*q - 5*g - 8, v*q - g - 10 = 0. Find the second derivative of 3*d - 6*d - 2*d**2 - 7*d - q*d**2 wrt d.
-16
Let h(w) = 5*w - 3. Let l be h(2). Let m = 11 - l. Find the second derivative of 5*o**3 + 56 - 56 - m*o wrt o.
30*o
Let f = -5 + 27. What is the second derivative of 6*n - 4*n**4 - 31*n + f*n**4 - 2*n wrt n?
216*n**2
Let o(w) = 4*w**6 + 7*w**3 + 19*w**2 + 13*w. Let v(s) = s**6 + 2*s**3 + 5*s**2 + 3*s. Let h(c) = 6*o(c) - 26*v(c). What is the third derivative of h(m) wrt m?
-240*m**3 - 60
Let w(u) = -28*u**3 + 7*u**2 - 8*u + 2. Let i(k) = -k**3 + k**2 + k - 1. Let h(q) = -2*i(q) - w(q). Find the third derivative of h(n) wrt n.
180
What is the third derivative of 124*b**6 + 196*b**2 + 150*b**6 - 520*b**6 wrt b?
-29520*b**3
Let l(p) = -5*p**3 - 15*p**2 - 611*p - 3. Let h(g) = -9*g**3 - 14*g**2 - 612*g - 2. Let x(y) = 3*h(y) - 2*l(y). What is the second derivative of x(a) wrt a?
-102*a - 24
Let a(f) be the third derivative of 0 - 7/12*f**4 - 3*f - 1/120*f**6 + 11*f**2 - 19/3*f**3 + 0*f**5. Differentiate a(p) wrt p.
-3*p**2 - 14
Let h(j) be the second derivative of -1/14*j**7 - 17/6*j**3 + 0*j**4 + 6*j + 0 + 0*j**2 + 0*j**5 + 0*j**6. Find the second derivative of h(u) wrt u.
-60*u**3
Let x(m) = -m - 4. Let r be (-30)/35*(-2 - -9). Let b be x(r). Differentiate 36 + q**2 - q**b - 35 + 6*q**3 with respect to q.
18*q**2
Find the first derivative of -309*x**2 - 148 + 370*x**2 + 165*x**2 + 8 wrt x.
452*x
Let p(d) = -51*d**3 + 4*d**2 - 141*d. Let s(j) = 25*j**3 - 2*j**2 + 71*j. Let o(u) = -2*p(u) - 5*s(u). Find the second derivative of o(t) wrt t.
-138*t + 4
Let x(d) be the second derivative of -65*d**3/3 + 115*d**2/2 + 4*d + 3. What is the first derivative of x(k) wrt k?
-130
Suppose -3*r - z = -56, -15 - 8 = -r + 4*z. Let i = r + -13. Find the third derivative of -5*u**2 - 5*u**i + 7*u**6 - 5*u**6 wrt u.
-360*u**3
Let x(m) = 51*m**2 + 5*m - 88. Let u(t) = -254*t**2 - 27*t + 441. Let v(a) = -2*u(a) - 11*x(a). Differentiate v(h) wrt h.
-106*h - 1
Suppose -2*z - 8 = -4. Let j be -1 + z/((-2)/3). Find the third derivative of o**j - 5*o**3 - 3*o**2 - o**2 wrt o.
-30
Let d(n) be the third derivative of 0*n**3 + 0*n**5 + 0 + 3/112*n**8 + 5/12*n**4 + 0*n**6 + 0*n - 11*n**2 + 0*n**7. Find the second derivative of d(u) wrt u.
180*u**3
Let d = -5 + 7. Let a(i) be the first derivative of -d + 1 + 2*i**2 + 5 - 6*i - 1. Differentiate a(c) wrt c.
4
Let z(k) = 2*k**3 - k**2 + k + 7. Let p(y) = -y**3 + y**2 - 1. Let a(o) = -3*p(o) - z(o). Let h be a(3). Differentiate -5*c**2 - 4 - 3*c**2 + 4*c**h + 3 wrt c.
-8*c
Find the second derivative of -287*d**3 + 940*d + 540*d**3 - 243*d**3 - 6*d**2 wrt d.
60*d - 12
Let p(d) = -30*d - 19*d + 61 + 19*d. Let h(k) = 20*k - 41. Let s(j) = 8*h(j) + 5*p(j). What is the first derivative of s(v) wrt v?
10
Let m(s) = s + 3. Let o be m(-3). Suppose 0 = 4*p - 2*a - 96, 5*a = 4*p - o*a - 102. Find the second derivative of -7*n**2 - p*n + n**2 + 28*n wrt n.
-12
Let q(i) be the second derivative of i**6/15 + 5*i**4/4 - 55*i**3/3 - 68*i. Find the second derivative of q(p) wrt p.
24*p**2 + 30
Let t(o) = -2*o + 39. Let s(u) = 8*u - 163. Let d(h) = 2*s(h) + 9*t(h). Differentiate d(f) with respect to f.
-2
Let i(n) be the third derivative of -11*n**5/15 - 3*n**4/8 + n**3/2 - n**2 + 48*n. What is the second derivative of i(w) wrt w?
-88
Let w(p) be the second derivative of 365*p**4/12 + 581*p**2/2 - 425*p. Differentiate w(y) wrt y.
730*y
Suppose 0*j - j + 13 = -s, 5*s = -j + 37. Suppose g - 11 = k - 4*k, 3*k = -4*g + j. Find the second derivative of g*f - 3*f - 7*f**5 - 6*f wrt f.
-140*f**3
Suppose -4*j = 0, -3*z + 64 = -j + 13. Find the second derivative of 29*x**2 - 12*x**2 + 5*x**4 + 9*x - z*x**2 wrt x.
60*x**2
Let t(g) = 3*g**3 - 14*g**3 + 2*g**3 + 29 + 5*g**4. Let f(i) = -i**4 + 2*i**3 - 7. Let u(x) = -9*f(x) - 2*t(x). What is the derivative of u(y) wrt y?
-4*y**3
Let b = -5665/3 + 1890. Let x(g) be the third derivative of b*g**3 + 0*g - 11*g**2 + 1/30*g**5 + 0 + 0*g**4. Differentiate x(j) with respect to j.
4*j
Let w be 3*2*(-8)/(-6). What is the first derivative of 0 - 2 - w*c**4 - 22*c**4 + 3*c**4 wrt c?
-108*c**3
Let d(x) = 16*x - 8. Let o be -3 + 129/15 + 2/5. Let w(s) = -16*s + 9. Let m(f) = o*d(f) + 5*w(f). Find the first derivative of m(q) wrt q.
16
Let q(n) be the third derivative of -7*n**6/10 - 13*n**4/24 + 2*n**3/3 + 34*n**2. What is the second derivative of q(p) wrt p?
-504*p
Let g(l) = 2*l**3 + l**2 - l - 2. Let a be g(2). Find the third derivative of 4*j**2 - 48 + a*j**6 + 101 - 53 wrt j.
1920*j**3
Let n(d) = 6*d**5 - 11*d**4 + 12*d**3 + 5*d - 7. Let r(t) = -t**4 + 2*t**3 + t. Let v(u) = -n(u) + 6*r(u). What is the second derivative of v(m) wrt m?
-120*m**3 + 60*m**2
Let f(c) = -c**2 + c. Suppose 36*t + 2 = 37*t. Suppose -2*q - 2*q + 4 = 0. Let v(i) = -2*i - 5. Let g(m) = q*v(m) + t*f(m). Differentiate g(n) wrt n.
-4*n
Let f(t) be the first derivative of t**6/90 - t**5/40 + 3*t**3 + 14. Let d(p) be the third derivative of f(p). What is the second derivative of d(a) wrt a?
8
Let f(x) = x**3 + 2*x**2 - 63*x - 55. Let k(v) = 3*v**3 + 7*v**2 - 187*v - 166. Let o(z) = 7*f(z) - 2*k(z). What is the first derivative of o(p) wrt p?
3*p**2 - 6 | {
"pile_set_name": "DM Mathematics"
} |
pose 4609 = -d*w + 13*w. Is w prime?
True
Let t(c) = c**2 - c + 1. Let w be t(2). Suppose 2*z - 2 = 2*r, 6 = -5*z - 4*r + 2. Suppose -w*u + z*u + 195 = 0. Is u prime?
False
Is ((-3)/9)/((-4)/(-27624)*-2) prime?
True
Let x be 27/6*4/6. Let s be 4/8 - 225/(-2). Suppose p + 0*a = -x*a + 103, s = p - 2*a. Is p a composite number?
False
Let d(k) = -82*k - 6. Let h be d(-12). Suppose -2*v + h = v. Let a = 580 - v. Is a composite?
True
Let m(u) = 2*u**2 - 29*u - 262. Is m(-21) a prime number?
True
Let p = -64 + 132. Let o = 151 - p. Is o a prime number?
True
Suppose -4*h = 4*z - 180, -135 = -3*z - 6*h + h. Let m = z + 100. Is m a composite number?
True
Let n = -6115 - -3434. Let s be 2 - 3 - (n + -2). Is (-6)/(-4)*s/27 prime?
True
Let h(y) = 68*y**3 - 5*y**2 - y + 1. Let p(k) = 137*k**3 - 11*k**2 - 3*k + 1. Let o(v) = 5*h(v) - 2*p(v). Is o(2) composite?
False
Suppose 10*u - 2*u = 32. Suppose -138 = l - 4*l. Suppose j = -j + x + l, -96 = -u*j + 4*x. Is j composite?
True
Let r(x) = x**2 - 6*x - 2. Let k be r(7). Suppose k*f = 4*f + 3. Suppose -12 = -f*c + 57. Is c a prime number?
True
Let s(a) be the second derivative of a**3/6 + 397*a**2/2 + 10*a. Is s(0) a prime number?
True
Let y be (1 - -56)/(1 - 0). Suppose -m = -y - 32. Is m composite?
False
Let q(y) = 2*y**3 - 18*y**2 + 19*y + 5. Let o be q(13). Suppose -o = -6*z + 1138. Is z composite?
False
Suppose -4 = -2*r + 2*d, 0 = 2*r - 0*r + 3*d - 4. Suppose 3*n + r = a, 5*n + 3 = -3*a - 19. Is (6/(-9))/(a/1266) a composite number?
False
Suppose 0 = 3*x - 4*w - 34, 3*x = 2*x - w + 2. Let v be 1/(0 - (-3)/x). Suppose v*s = 527 + 359. Is s prime?
True
Let j = -7 + 9. Let o be -9*j/(-9 + 3). Suppose -2365 = -5*s - o*b, -2*s = -s - b - 473. Is s composite?
True
Let f = -18 - -18. Suppose f*t + t = 142. Suppose -3*d = 31 - t. Is d a composite number?
False
Let d be -98*((-15)/6 - -2). Let t = d - -84. Is t prime?
False
Let s be 8/(0 + -4)*30/12. Let m(z) = -3*z**3 - 4*z**2 + 6*z + 8. Let v(q) = -7*q**3 - 7*q**2 + 13*q + 16. Let f(t) = -5*m(t) + 2*v(t). Is f(s) composite?
False
Let y be -3 - 9/(-6)*6. Let b = 389 - y. Is b a prime number?
True
Let z(s) = -s**2 - 7*s - 5. Let h be z(-5). Suppose 6*u = h*u + 635. Is u prime?
False
Let j be 153*1 - (4 + -2). Suppose 0 = -10*q + 512 + 2208. Let h = q - j. Is h composite?
True
Let x(r) = 542*r - 421. Is x(6) composite?
True
Let m = 30639 + 38566. Is m a prime number?
False
Let u = -27704 + 40042. Suppose 7*i + 921 = u. Is i a prime number?
False
Let o = -26690 - -38141. Suppose 5*v + o = 8*v. Is v a prime number?
False
Let p be (-1)/(30/35 + -1). Suppose p*w - 435 + 22 = 0. Is w a composite number?
False
Suppose 3*j - 337 = 260. Let a = j - -58. Is a composite?
False
Let d = -1048 + 7851. Is d a prime number?
True
Let n = 13214 - 6855. Is n a prime number?
True
Let c = 3736 + -665. Is c a prime number?
False
Let d = 484 + 2735. Suppose -12*v + 15*v = d. Is v a composite number?
True
Is 140025/60 + (-9)/12 a prime number?
True
Let r(p) = 2*p - 24. Let i be r(12). Suppose -4*v + 5*g + 314 = -v, -v - 2*g + 123 = i. Is v a composite number?
False
Suppose 6*k - 112222 + 6520 = 0. Is k prime?
False
Let o be ((-21)/(-28))/(6/16). Let n(p) = 124*p + o - 3 + 6 - 2. Is n(5) a composite number?
True
Let o(n) = -n**2 - 20*n + 5. Let q be o(-20). Suppose -2*s - 165 = -q*s. Is s a composite number?
True
Suppose -q + 3*q - 4*l - 12262 = 0, 0 = q + 3*l - 6131. Is q a prime number?
True
Let a(n) = 719*n**2 + 5*n - 5. Suppose 6 = 2*s + 2*b + 2, 3*b = 3. Is a(s) a composite number?
False
Let t = -63 - -67. Suppose 4*i - 20 = 0, -t*h = -6*h + 2*i + 1608. Is h composite?
False
Let b be (37/(-2))/(4/(-464)). Suppose 15*l - 7800 = 7*l. Let p = b - l. Is p composite?
False
Let n be ((-4)/(-8) - 2/8)*12. Is 650 - n/3*1 composite?
True
Suppose 27*t - 32*t + 2030 = 0. Let a be ((-3)/(-6))/((-2)/(-24)). Suppose -3*q = -4*b + 542, 3*b + 2*q = a*b - t. Is b composite?
True
Is (6/4 - -1)*145106/65 prime?
True
Suppose -5*t + 7 = -8. Suppose -8*p - a + 17 = -3*p, 0 = -t*p + 5*a + 27. Suppose -2*u + 5*y - y = -64, p*y = 3*u - 98. Is u composite?
True
Let x = 3 - 6. Let m be 2*x*(-52)/12. Suppose -2*i = -m - 448. Is i composite?
True
Suppose 0*s = -79*s + 2378611. Is s composite?
False
Is 0 + 5 + (5040 - (-4 + -4)) composite?
True
Suppose 0 = -5*a + 7*a - 8. Suppose 0*j = a*j - 260. Is j a composite number?
True
Is 2206*(6 + 25/10) prime?
False
Let p = -58 - -62. Suppose -3360 = -3*i - 3*l, p*l + 0*l - 1129 = -i. Is i prime?
True
Let m = -5291 - -11484. Is m a prime number?
False
Let d be (-1 - -418)*(-12)/(-9). Suppose 0*a - 2*z + d = -3*a, a + 174 = -5*z. Let m = -99 - a. Is m composite?
True
Suppose -2*m + 13 = 4*o - 5, 2*o = 0. Let f(q) = 37*q**2 - q + 8. Let u be f(9). Is (-2)/m + u/36 composite?
False
Suppose 5 - 33 = -4*k. Is (-2)/k + 30591/77 a composite number?
False
Is (17892 + 11)/(-2 + 3) composite?
False
Let n be (-44)/(-10) + (-10)/25. Let q be (2 - 167/n)*-4. Let m = q - -106. Is m prime?
False
Let o(w) = -9*w**3 + 2*w + 3. Suppose -5*i = a - 31, 6 + 38 = 4*i - 4*a. Let n = i + -9. Is o(n) composite?
False
Let q = -30863 + 43440. Is q prime?
True
Suppose -2*p + 2521 = -o, 3*o = -3*p - 2*o + 3775. Suppose b - p = 863. Is b prime?
False
Let w = -27412 - -40049. Is w a prime number?
True
Let h = 2817 + -1808. Is h a composite number?
False
Let z(i) = 2605*i + 419. Is z(30) composite?
False
Suppose 0*j - 5 = j, -3*s - 11 = 4*j. Suppose -q = -s*g + 8*g - 3, -5*q + 4*g - 14 = 0. Is -1 + q + 2 + 34 a prime number?
False
Suppose 5*q - 2*t - 38059 = 0, 2*q + 22*t - 15241 = 17*t. Is q prime?
False
Let i = -7417 - -19664. Is i a composite number?
True
Let i be 2/(-2)*8394/(-3). Suppose 4*f - 1670 = i. Is f a prime number?
True
Let x(q) = 1694*q + 3. Let w(b) = 1129*b + 2. Let j(z) = 8*w(z) - 5*x(z). Let t be 2/7 + (-35)/(-49). Is j(t) a composite number?
False
Let v(q) = 348*q - 1. Let x be ((-2)/(-5))/(2/40). Suppose x = 4*z + 4. Is v(z) a composite number?
False
Let d(m) = 24*m**3 + 8*m - 9. Suppose 0*y - y = -7. Suppose -20 = -y*k + 2*k. Is d(k) composite?
False
Suppose 261*r - 285*r = -1170456. Is r composite?
True
Let u be (-2 + -1)*(3435/(-9) - 3). Let y = -423 + u. Is y prime?
False
Let r be 3/(-12)*(-54 + 2). Suppose 0 = r*u - 7*u - 60. Is u a composite number?
True
Let x = 914 + 3155. Let a = x - 2082. Is 1*(2 - 1)*a a prime number?
True
Suppose 0 = 3*o + 4*f - 13 - 19, f - 25 = -5*o. Suppose 3*u - 2*u - o*s = 303, -s = -1. Is u composite?
False
Let p = 14960 + -7606. Is p composite?
True
Let u(c) = 5*c**2 + c + 7. Let g(s) = s**2 + 13*s - 21. Let d be g(-15). Suppose 3*i = 6*r - 4*r - d, 3*r = 2*i + 1. Is u(i) a prime number?
True
Let r = 5 - 11. Let v be 2 + (2 - (4 - 2)). Is 142 - r - (v + 1) a composite number?
True
Suppose -18 = 7*x - 11*x + 2*u, 25 = 5*x - 3*u. Let g = -1 + 2. Is (x/(-4))/(g/(-662)) prime?
True
Let p(y) = -y**3 - y**2 + 2*y + 2292. Let k be p(0). Suppose -2*j + k = 2*j. Is j a prime number?
False
Let n(b) = -7 + 8*b**2 - 2*b - 4*b - 2*b**2. Let j be n(5). Suppose 4*x + j = 445. Is x prime?
True
Is (-39524)/(-28) - 28/49 prime?
False
Let t be (-8)/44 + 897/33. Let b be 5937/(-2)*(-18)/t. Suppose 4*u - 5*c = 1598, -3*u + b = 2*u + 3*c. Is u composite?
False
Is (-26618)/(-2) + 9 + 2 + -13 prime?
False
Let b(v) = 1770*v**3 + v - 2. Is b(1) a composite number?
True
Let p = -55 - -70. Is 2*p/(-20)*-2374 a composite number?
True
Let b(z) = 21*z**2 + 0*z - 2 + 6 + 2*z. Let k(d) = -3*d**2 - 23*d + 5. Let h be k(-8). Is b(h) a composite number?
True
Let v be (2/3)/(5/90). Let b = v + -12. Is 3 + -2 + (9 - b) a prime number?
False
Suppose -2*a = -5*o - 636, 0 = 4*o - 3*a - a + 516. Let z = o - -283. Let c = 348 - z. Is c composite?
False
Suppose 0 = 3*z + 3*t - 10200, -3*z - 7*t = -8*t - 10204. Is z a prime number?
False
Let b be (-3)/(-2)*(5 - 41). Let z = 13 - b. Suppose -5*r = z - 1712. Is r prime?
False
Suppose n = 7 + 2. Suppose n*c = 4*c + 3065. Is c a prime number?
True
Let h = -13 + 16. Suppose z + 2*b = 64, -h*b - 44 = -2*z + 70. Suppose -r - 399 = -2*j, -3*r + 672 = 3*j + z. Is j prime?
False
Let k = 365 - -2334. Suppose 2*z = -4*b + 1074, -5*z - 3*b + k = -0*b. Is z prime?
True
Suppose 0 = y - 2*u - 9, -4*y - 1 = 5*u + 2. Let g(m) = 10 - 13*m**y + 6*m**3 + 6* | {
"pile_set_name": "DM Mathematics"
} |
11*m + 11. Let o(u) = -4*u**2 + 2*u + 2. Let d(x) = -33*o(x) + 6*y(x). What is j(d(c))?
-144*c**4
Let l(u) = -u. Let a(r) = 15 + 2*r + 0*r - 15. Determine l(a(k)).
-2*k
Let s(g) = -g. Let j(i) be the second derivative of -3*i**4 - 14*i. Calculate s(j(h)).
36*h**2
Let m(l) = -5*l. Let r(b) be the third derivative of 0*b**4 + 0*b**3 + 3*b**2 + 0 + 0*b - 1/30*b**5. What is m(r(c))?
10*c**2
Let v(w) = w**3 + 7*w**2 + 6*w + 3. Let s be v(-6). Let x(t) = s*t - 7*t + t. Let b(l) = l**2. Calculate x(b(p)).
-3*p**2
Let g = 4 + -1. Let z(r) = -5*r + g*r - 4*r. Let s(w) = 2. Let o(b) = -b + 5. Let y(m) = -2*o(m) + 5*s(m). Calculate y(z(a)).
-12*a
Let g(o) = o**2 - 32. Let f(j) = 14*j**2. Determine g(f(u)).
196*u**4 - 32
Let v(k) be the second derivative of -k**4/12 + 2*k. Let q(t) be the first derivative of -2*t**3/3 + 2. What is v(q(f))?
-4*f**4
Let k(v) = v**2. Let u(z) = -24*z. Give u(k(r)).
-24*r**2
Let z(n) = -52*n**2 + 2. Let x(f) = 4*f**2. Determine z(x(p)).
-832*p**4 + 2
Let k(d) = 2*d**2. Let c(j) = 27*j + 1. Determine c(k(t)).
54*t**2 + 1
Let g(b) = 157*b + 31. Let t(v) = -2*v. Determine t(g(a)).
-314*a - 62
Let s(g) = 398*g - 8. Let y(j) = 4*j**2. Calculate y(s(m)).
633616*m**2 - 25472*m + 256
Let u(p) = -3*p. Let l(a) be the third derivative of -a**5/15 + 6*a**2. Calculate u(l(b)).
12*b**2
Let j(v) = 2*v - 2*v**2 - 2*v. Let d(t) be the third derivative of -t**8/6720 + t**5/60 - 3*t**2. Let y(s) be the third derivative of d(s). What is y(j(o))?
-12*o**4
Let v(a) = 2*a. Let b(k) = -1122*k. Calculate v(b(w)).
-2244*w
Let c(p) = -p**2 - 149*p. Let i(y) = 5*y. What is i(c(z))?
-5*z**2 - 745*z
Let z(b) = 18*b**2. Let p(r) = -5*r - 11. What is p(z(q))?
-90*q**2 - 11
Let g(b) be the second derivative of -2*b**3/3 - 16*b. Let i(c) be the third derivative of c**5/60 + 2*c**2. Determine g(i(a)).
-4*a**2
Let w(n) = n - 54. Let z(p) = -6*p**2. Give w(z(i)).
-6*i**2 - 54
Let u(a) = 6455*a**2. Let b(g) = -2*g**2. Calculate b(u(c)).
-83334050*c**4
Let f(r) = 2*r + 5. Let j(n) = -21*n - 56. Let b(w) = -56*f(w) - 5*j(w). Let s(l) be the third derivative of l**5/30 - 16*l**2. What is s(b(z))?
98*z**2
Let o(j) = -3*j. Suppose -3*g + 22 = -5*p, g = 4*p + 3 + 2. Let t(x) = g + 7*x - 5 - 4. Give o(t(d)).
-21*d
Let r(g) = 2*g**2. Let t be 3 - ((-1)/1)/(-1). Let a(o) = -1 - 2*o**2 + 3 - t. Give r(a(n)).
8*n**4
Let g(j) = -8*j. Let m(b) = -4*b**2. Calculate m(g(f)).
-256*f**2
Suppose -2*f + f + 7 = 0. Let j(v) = 7 - 3*v - f. Let i(t) = -2*t**2. What is j(i(k))?
6*k**2
Let x(k) be the third derivative of k**5/20 - 2*k**2. Let s(t) = t**2 - t. Let l(i) = -i**2 + 2*i. Let p(n) = -5*l(n) - 10*s(n). Determine p(x(o)).
-45*o**4
Let b(u) = -4*u**2 + 2. Let g(a) = 13*a**2 - 7. Let f(i) = -7*b(i) - 2*g(i). Let n(x) = 5*x. Let d(m) = -4*m. Let o(p) = 6*d(p) + 4*n(p). Give o(f(z)).
-8*z**2
Let i(a) = a**2 + 3*a - 4. Let z be i(-4). Let h(l) = 0*l - 2*l - l + z*l. Let u(s) = s. What is u(h(x))?
-3*x
Let y(o) = o. Let t = 7 + -7. Let q be 3 - (3 - (4 + t)). Let i(v) = 0*v - q*v + v**2 + 4*v. What is i(y(n))?
n**2
Let i(u) = 3*u**2 + 2. Let o(a) = -3. Let j(q) = q - 15. Let c(r) = 3*j(r) - 15*o(r). Determine c(i(n)).
9*n**2 + 6
Let w(r) = -6*r**2. Suppose -5 = 2*b - 3*b. Let a(y) = y - b + 5. Determine w(a(h)).
-6*h**2
Let r(y) = 3*y**2. Let j(c) = 25*c**2. What is j(r(q))?
225*q**4
Let v(m) = m**3 - m**2 + m + 2. Let k be v(0). Let h(g) = g**k + 4*g**2 - 6*g**2 + 2*g**2. Let l(o) = 2*o. Determine h(l(w)).
4*w**2
Let p(x) = 5*x. Let s(k) = k**2 - 1099*k. Give p(s(z)).
5*z**2 - 5495*z
Let a = -11 + 13. Let u(q) be the second derivative of 0 + 0*q**3 + a*q + 0*q**2 + 1/12*q**4. Let t(j) = j. What is t(u(v))?
v**2
Let w(n) = 1. Let v(z) = -z - 2. Let b(m) = 4*v(m) + 3*w(m). Let p(k) = -5*k - 6. Let s(g) = -6*b(g) + 5*p(g). Let l(a) = -7*a. Determine s(l(y)).
7*y
Let m(g) = 2*g**2. Let y = 30 + -21. Let i(b) = 9*b**2 + 9*b. Let j(f) = 5*f**2 + 4*f. Let x(k) = y*j(k) - 4*i(k). What is x(m(n))?
36*n**4
Let o(b) = -b**2. Let z(i) = -1. Let t(u) = 31*u - 155. Let c(w) = -t(w) + 155*z(w). Calculate c(o(p)).
31*p**2
Let l(p) = -p**2 - 3*p + 2. Let n be l(-3). Let a(o) = -4 + 8*o**n + 4. Let d(m) = -m**2. Give a(d(r)).
8*r**4
Let z(f) = 3*f. Let q(k) = 58*k**2. Calculate z(q(l)).
174*l**2
Suppose 2*a + 4 + 12 = 0. Let q(v) = 15*v**2 + 8. Let l(t) = -10*t**2 - 5. Let b(s) = a*l(s) - 5*q(s). Let p(m) = 2*m. What is b(p(x))?
20*x**2
Let c(n) be the third derivative of n**2 + 0*n**3 - 1/60*n**5 + 0*n**4 + 0 + 0*n. Let k(z) be the third derivative of -z**5/20 + 15*z**2. What is k(c(m))?
-3*m**4
Let n(t) = 23*t. Let r(x) = 25*x - 24*x - 2 + 2. Give n(r(s)).
23*s
Let a(o) = 13*o. Let p(k) = 54*k - 18. Let g(x) = x - 1. Let c(q) = -36*g(q) + 2*p(q). Let v(r) = -28*a(r) + 5*c(r). Let t(s) = -s**2. Calculate t(v(z)).
-16*z**2
Let h(b) = -b. Let d(o) = 6*o - 4. Give d(h(q)).
-6*q - 4
Let a(z) be the second derivative of 5*z**4/12 + 13*z. Let q(w) = -4*w**2 - 2. Let i(b) = 9*b**2 + 5. Let s(u) = -2*i(u) - 5*q(u). Determine a(s(p)).
20*p**4
Let i(b) = 3*b**2. Let l(q) be the third derivative of 19*q**5/60 + 6*q**2 - 2*q. Calculate l(i(a)).
171*a**4
Suppose -2*g + 5*g - 15 = 0. Let l be 6 - g - (1 - 3). Let w(y) = -3*y + y + l*y. Let m(x) = x. Give w(m(j)).
j
Let f(c) = 1031*c**2. Let l(g) = 2*g. Calculate f(l(y)).
4124*y**2
Let m(b) = -b**2 + 5*b + 8. Let n be m(6). Let c(a) = -n*a + a - a. Let u(g) = -g. Determine u(c(s)).
2*s
Let n(c) = -2*c + 6. Let a(k) = -k + 1. Let h(j) = 6*a(j) - n(j). Let y(l) = 1. Let x(v) = v + 2. Let b(m) = x(m) - 2*y(m). Calculate b(h(r)).
-4*r
Let b(t) = t. Let m(f) = 4*f**2 - 55. Calculate m(b(g)).
4*g**2 - 55
Let d(c) = -c. Let t(f) = -18*f. Give d(t(u)).
18*u
Let j(h) be the second derivative of -5*h**4/4 + 8*h. Let s(y) be the second derivative of y**3/3 + 3*y. Give j(s(a)).
-60*a**2
Let p(z) be the third derivative of -3*z**4/8 + 5*z**2. Let k(n) = -2*n. Determine k(p(h)).
18*h
Let o(c) = 46*c - 8. Let f(a) = 7*a**2. What is o(f(i))?
322*i**2 - 8
Let c(l) = -213*l + 101*l + 115*l. Let y(u) be the second derivative of -u + 0*u**3 - 1/4*u**4 + 0*u**2 + 0. Give y(c(x)).
-27*x**2
Let q(f) = -90*f. Let m(g) = 3*g**2. What is q(m(y))?
-270*y**2
Let i(j) = j - 2. Let d be i(13). Let c be d + -3 + 0 - 0. Let g(h) = 5*h - 2*h + c - 8. Let t(v) = -2*v**2. Give g(t(y)).
-6*y**2
Let d(i) = -2*i**2 - 1 + 1. Let q(c) = -3*c + c + 3*c. What is q(d(g))?
-2*g**2
Let b(x) = 3*x. Let m(l) = -70*l**2 + l - 12. Determine b(m(r)).
-210*r**2 + 3*r - 36
Let a(f) = -f**2 + f + 0*f + 0*f**2. Let b(m) = 2*m. Let n(z) = 2*a(z) - b(z). Let g(y) = -y. What is g(n(q))?
2*q**2
Let o(a) be the first derivative of -2*a**3/3 - 4*a + 5. Let q(z) be the first derivative of o(z). Let t(k) = 2*k**2 - k**2 - 2*k**2. Determine t(q(d)).
-16*d**2
Let q(x) = -4*x. Let w(s) = 3*s**2 + 4. Let y(z) = -2*z**2 - 3. Let g(i) = 3*w(i) + 4*y(i). Give q(g(m)).
-4*m**2
Let z(j) be the third derivative of -j**4/24 + 14*j**2 - 3. Let i(x) = -x + 4. Let g(t) = 3*t - 11. Let q(k) = -4*g(k) - 11*i(k). What is z(q(y))?
y
Let g(m) = -m**2 + 3. Let h(r) = 2. Let q(u) = 4*g(u) - 6*h(u). Let t(l) = l**2. Give t(q(x)).
16*x**4
Let r(g) = 7*g**2 - 6*g + 6. Let j = -13 - -7. Let k(p) = -15*p**2 + 13*p - 13. Let y(a) = j*k(a) - 13*r(a). Let m(b) = -6*b. What is m(y(v))?
6*v**2
Let f(h) = 9*h**2. Let l(o) = -7*o + 127. Calculate f(l(s)).
441*s**2 - 16002*s + 145161
Let l(v) = -8*v**2 - 6*v. Let d(k) = 23*k**2 + 17*k. Let p(z) = -6*d(z) - 17*l(z). Let j(u) = u - 2*u + 2*u. What is j(p(y))?
-2*y**2
Let p(l) be the second derivative of l**3/3 + 17*l. Let r(z) = -31*z**2. Give p(r(b)).
-62*b**2
Let l(q) = q**2. Let f(b) = -17*b - 18*b - 3*b. What is l(f(j))?
1444*j**2
Let u(d) = d**2. Let v(r) = -25*r**2 + 11*r. Let b(k) = 5*k**2 - 2*k. Let f(c) = -22*b(c) - 4*v(c). Determine f(u(y)).
-10*y**4
Let s(d) = -4*d. Let t(q) be the second derivative of q**3/2 + 14*q. Calculate t(s(x)).
-12*x
Let v(h) = -2*h**2. Let z(y) = 14*y + 0*y - 4*y - 9*y. Calculate v(z(a)).
-2*a**2
Let c(h) = 2*h. Let t(d) = d. Let r(g) = 3*c(g) - 4*t(g). Let b(n) = -7*n - 1 + 1 + 3*n. Give r(b(o)).
-8*o
Let f(c) = -35*c. Let u(x) = 20*x. Give f(u(r)).
-700*r
Let v(k) = k - 5. Let o(z) = -26*z + 1. What is o(v(q))?
-26*q + 131
Let y(u) = -u + 2*u + 3*u**2 + u. Let l(c) | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in 487*r**2 - 1720*r**2 - 496*r**2.
-1729*r**2
Collect the terms in -3*z**2 + 105*z**2 + 168*z**2.
270*z**2
Collect the terms in 2*t + t - 3*t**3 + 0*t**3 + 2*t**3.
-t**3 + 3*t
Collect the terms in -48*w**2 - 3*w - 55 + 3*w - 30.
-48*w**2 - 85
Collect the terms in 1431378 - 1431378 - 959*h.
-959*h
Collect the terms in -1663*t**3 - 1739*t**3 + 3297*t**3.
-105*t**3
Collect the terms in 161 - 3*o**3 + 23 - 184.
-3*o**3
Collect the terms in -2465*h**3 + 4871*h**3 - 12*h - 2404*h**3.
2*h**3 - 12*h
Collect the terms in 10*o**2 + 14*o**2 - 2*o**3 + 12*o**2 - 37*o**2 + 5*o**2.
-2*o**3 + 4*o**2
Collect the terms in -3 - 136 + 139 - 4*o**3.
-4*o**3
Collect the terms in -162*q**2 + 46*q**2 + 55*q**2 + 63*q**2.
2*q**2
Collect the terms in -309286*i**2 + 618634*i**2 - 309346*i**2 + 0 + 0.
2*i**2
Collect the terms in -v + v - 491836*v**2 + 491811*v**2.
-25*v**2
Collect the terms in -319837*o**2 + 319837*o**2 - 287*o**3.
-287*o**3
Collect the terms in -1726*i**3 + 879*i**3 + 861*i**3.
14*i**3
Collect the terms in -15897 - 2*n**3 - 15913 + 31810.
-2*n**3
Collect the terms in -158*q + 82*q - 8*q + 85*q.
q
Collect the terms in 7*g**2 + 75*g**2 - 29*g**2 - 15*g**2.
38*g**2
Collect the terms in 248860 - 248860 + 35*m.
35*m
Collect the terms in -57 + 57 - 277*z**2 + 2106*z**2.
1829*z**2
Collect the terms in -433 - 100*a + 216 + 217.
-100*a
Collect the terms in 28 + 68*k**2 + 880*k**2 - 27.
948*k**2 + 1
Collect the terms in -4453*p**2 + 8903*p**2 - 4450*p**2 - 8*p**3.
-8*p**3
Collect the terms in -268131*l + 134063*l - 7*l**3 + 134068*l.
-7*l**3
Collect the terms in 76*i - 15*i - 13 - 26*i - 49*i.
-14*i - 13
Collect the terms in 310*f**2 - 12*f**2 - 144*f**2 + 282*f**2.
436*f**2
Collect the terms in 6*t**2 + 256*t + t**3 - 256*t - 5*t**3 - 3*t**3.
-7*t**3 + 6*t**2
Collect the terms in 324 + 334 - 396*j**2 - 658.
-396*j**2
Collect the terms in -100*r + 1376 - 677 - 699.
-100*r
Collect the terms in 3 - 291*h + 271*h - 3.
-20*h
Collect the terms in 58581*f - 21174*f + 106420*f.
143827*f
Collect the terms in -8*k**2 - 198*k + 83*k + 112*k.
-8*k**2 - 3*k
Collect the terms in -13*l - 104*l**2 - 57*l + 70*l.
-104*l**2
Collect the terms in -16164*a + 8071*a + 8167*a.
74*a
Collect the terms in -q**3 - 97 + 15*q**2 + 44 + 25 + 28.
-q**3 + 15*q**2
Collect the terms in 24*i**3 - 3*i**3 - 6*i**3.
15*i**3
Collect the terms in 5*j**2 + 94*j - 13*j**2 - 2 + 10*j**2.
2*j**2 + 94*j - 2
Collect the terms in 0*c**2 - 3*c**2 - 27091 + 954.
-3*c**2 - 26137
Collect the terms in -164*o**2 + 92*o**2 - 113*o**2.
-185*o**2
Collect the terms in 614*f**2 + 35 - 621*f**2 - 35.
-7*f**2
Collect the terms in -2 + 118*y**3 + 0 - 66*y**3.
52*y**3 - 2
Collect the terms in -153*x**3 - 5*x + 93*x**3 + 84*x**3.
24*x**3 - 5*x
Collect the terms in 122386*c - 4*c**2 - 122386*c.
-4*c**2
Collect the terms in 33*r**2 + 1283 - 35*r**2 - 495.
-2*r**2 + 788
Collect the terms in 0 - 2*y**2 - 3*y**2 + 2 + 26*y**3 + 5*y**2.
26*y**3 + 2
Collect the terms in -4419125 + 0*f**3 - 3*f**3 + 4419125.
-3*f**3
Collect the terms in 106 - 5*c**3 - 39940*c**2 - 106 + 39940*c**2.
-5*c**3
Collect the terms in 6201 + g + 10*g - 6236.
11*g - 35
Collect the terms in -79*r**2 - 26*r**2 + 43*r**2.
-62*r**2
Collect the terms in -5697*i + 3 - 3 + 7975*i.
2278*i
Collect the terms in 12*f + 16 - 17 + 2 - 15*f.
-3*f + 1
Collect the terms in 32*i**2 + 3*i**2 + 9*i**2 + 22*i**2.
66*i**2
Collect the terms in -p + p + 2255233*p**3 - 2254967*p**3.
266*p**3
Collect the terms in 671 - 1207 - 3*d**3 + 597.
-3*d**3 + 61
Collect the terms in 31*i + 47*i + 1 - 36*i + 25*i + 30*i.
97*i + 1
Collect the terms in 30*m + 3*m - 28*m + 0*m.
5*m
Collect the terms in 30*p**2 + 20*p**2 + 13*p**2 + 35*p**2 - 54*p**2.
44*p**2
Collect the terms in -61*z + 24*z - 27*z + z - 55*z.
-118*z
Collect the terms in -470*a - 472*a - 475*a - 465*a + 1874*a.
-8*a
Collect the terms in 219*j**2 - 198*j**2 + 102*j**2.
123*j**2
Collect the terms in k**2 - 44*k + 26*k + k**2 - 39*k - 4*k**2.
-2*k**2 - 57*k
Collect the terms in -3*t - 26 - 32 + 5*t - 3*t.
-t - 58
Collect the terms in 0*h**2 + 7959 - 2*h**2 - 35436.
-2*h**2 - 27477
Collect the terms in 166*u**2 - 542 - 152*u**2 + 542.
14*u**2
Collect the terms in -93 - 124 + 347 + l - 130.
l
Collect the terms in 135*s**2 + 132*s**2 - 527*s**2 + 133*s**2 + 129*s**2.
2*s**2
Collect the terms in 7115*i**3 + 7120*i**3 - 14259*i**3 + 5*i - 5*i.
-24*i**3
Collect the terms in -40*o + 11*o + 13*o + 26*o.
10*o
Collect the terms in -4*m + 16 - 17 + 80 + 17.
-4*m + 96
Collect the terms in -288 - 402*o**3 + 577 - o - 289 + 8*o**2.
-402*o**3 + 8*o**2 - o
Collect the terms in 2*w**2 + 6*w**2 - 3*w**2 + 10*w**2.
15*w**2
Collect the terms in 2669 - 27*q - 1344 - 1325.
-27*q
Collect the terms in -31*r**2 - 11*r**2 - 4*r**2.
-46*r**2
Collect the terms in 84*m + 1 - 99*m + 55*m + 28*m.
68*m + 1
Collect the terms in -1235 + 313 + 309 + 305 - 6*f**2 + 308.
-6*f**2
Collect the terms in -n - 172*n**3 - 4 + 44*n**3 + 4.
-128*n**3 - n
Collect the terms in -49893*v - 177556*v - 102370*v.
-329819*v
Collect the terms in -37*s - 1021 + 1021.
-37*s
Collect the terms in 338 - 357 - 21*s + 20*s.
-s - 19
Collect the terms in 1107*v - 4422*v + 1108*v + 1107*v + 1102*v.
2*v
Collect the terms in 912241 + 9*l**3 - 3*l**3 - 912241.
6*l**3
Collect the terms in 254*p**2 + 233*p**2 + 102*p**2.
589*p**2
Collect the terms in 23*a - 13*a**3 + a + 4*a - 25*a - 3*a.
-13*a**3
Collect the terms in s**2 + s**2 + 79*s - 4*s**2 - 83*s.
-2*s**2 - 4*s
Collect the terms in 184*h + 57*h - 70*h.
171*h
Collect the terms in -411*f**2 + 673*f**2 - 189*f**2.
73*f**2
Collect the terms in -440*p + 106 - 106 + p**2.
p**2 - 440*p
Collect the terms in 571*c - 4 + 4 - 710*c.
-139*c
Collect the terms in -47*z - 39*z - 54*z + 195*z - 53*z.
2*z
Collect the terms in -19*o - 3*o - 21339*o**2 - 21346*o**2 + 42683*o**2.
-2*o**2 - 22*o
Collect the terms in 4649079 - 9*j - 4649079.
-9*j
Collect the terms in 33986*b**2 + 19 - 33986*b**2 - 6*b**3.
-6*b**3 + 19
Collect the terms in 52*y**2 + 534*y**3 + 51*y**2 + 55*y**2 - 531*y**3 - 158*y**2.
3*y**3
Collect the terms in -2051*k**3 - 2044*k**3 - 2042*k**3 + 6136*k**3.
-k**3
Collect the terms in -2333 - k**3 + 4713 - 2350.
-k**3 + 30
Collect the terms in 3*w - 220 + 953 - 245 - 250 - 238.
3*w
Collect the terms in 2169 - 1085 - 1084 + 318*p**3.
318*p**3
Collect the terms in 5 - 5 + 69*v**3 + 0 + 123*v.
69*v**3 + 123*v
Collect the terms in 54 - 104 - 2*b + 22 + 0*b + 28.
-2*b
Collect the terms in v + 12*v**2 + 7*v**2 - 4*v**2 + 36.
15*v**2 + v + 36
Collect the terms in -10 + 10 + 241*y**2 - 297*y**2.
-56*y**2
Collect the terms in 1 - 113*b**2 - 1 + 127*b + 42*b.
-113*b**2 + 169*b
Collect the terms in 196*z**2 + 249*z**2 - 451*z**2.
-6*z**2
Collect the terms in 2014 - 2657*m**2 - 2014 + 235*m**2.
-2422*m**2
Collect the terms in -3695 - 131*i + 131*i - 15*i**3 + 3692.
-15*i**3 - 3
Collect the terms in 15*w - 421*w - 2 - 597*w + 164*w + 1.
-839*w - 1
Collect the terms in 132*k**3 - 40885*k + 40885*k.
132*k**3
Collect the terms in -688 - 698 + 2*y**2 + y**2 + 1445.
3*y**2 + 59
Collect the terms in -12*k - 30*k + 42*k + 378*k**3.
378*k**3
Collect the terms in -7*r**2 - 8*r**2 + 1197*r + 1146*r - 2343*r.
-15*r**2
Collect the terms in 11*y + 167033 - 5*y - 167033.
6*y
Collect the terms in 5592*a - 7898*a - 8995*a.
-11301*a
Collect the terms in 211918*z - 423834*z + 211917*z.
z
Collect the terms in -2*t**2 + 15*t**3 + 3*t**2 + 20*t**3 - 5*t**2.
35*t**3 - 4*t**2
Collect the terms in -v - 3*v**3 + 52361535 - 52361535.
-3*v**3 - v
Collect the terms in 2494*d**2 - 4981*d**2 + 510*d**3 + 2487*d**2.
510*d**3
Collect the terms in 5*l**2 + 12*l**2 + 7*l**2 - 42*l**2 + 12*l**2 + 4*l**2.
-2*l**2
Collect the terms in -27*s**2 + 31*s - 14*s**2 + 21*s + 1.
-41*s**2 + 52*s + 1
Collect the terms in -6500*l**3 + 12802*l**3 - 6346*l**3.
-44*l**3
Collect the terms in -79*v - 61*v + 1 + 152*v - 3.
12*v - 2
Collect the terms in 3*s**2 + 118 + 23*s - 362 + 124 + 120.
3*s**2 + 23*s
Collect the terms in 66*y**3 + 7*y**2 - 14*y**2 - 56*y**3 + 7*y**2.
10*y**3
Collect the terms in -18*h**2 - 13345*h + 2 + 13345*h.
-18*h**2 + 2
Collect the terms in -32 + 127 + 3*n + 25 + 0*n.
3*n + 120
Collect the terms in -2773*r + 5376*r - 2765*r.
-162*r
Collect the terms in 72*u - 3*u - 44* | {
"pile_set_name": "DM Mathematics"
} |
q - w = -2*r - r, 4*q = 5*r + 7 for r.
1
Let b be -3 - (0 - (-1 + 10)). Solve b*g = g + 10, 0 = 4*r - 4*g + 12 for r.
-1
Suppose -3 = -3*t, -4*d - 4*t + 0*t = 16. Let a = 8 + d. Solve 2*i - 2*b = -4, 0 = 3*i - a*b - b + 10 for i.
2
Suppose -2*u + 8 = -2*m, 4*m + 23 = 2*u + 3*u. Let x be (-2)/(-11) + (-20)/(-11). Let y be 3*x/(-6)*-5. Solve -5 = -a - 5*r, a - y = -u*r + 4*r for a.
5
Let d = -6 - -10. Solve d*q = 5*t - 3*t - 2, 5*t = q - 13 for q.
-2
Let q = 4 + -4. Solve q = -o - 1, -3*b - o + 9 = 2*b for b.
2
Suppose v - 6 + 0 = 0. Suppose -v*o = -2 - 46. Let w = -1 + 1. Solve 2*z - o = -4*m, -2*m = -w*m + 5*z - 4 for m.
2
Suppose 28 - 8 = 5*b. Suppose -b = 2*z - 4*z. Let q(y) = -y**2 - 6*y. Let p be q(-6). Solve 4*x + 5*r - 8 = p, -r = -3*x - z*r + 6 for x.
2
Let x be 12/(-30) + 36/15. Let u(p) = -p**2 + 7*p + 4. Let m be u(7). Solve m*h - r = 4*r + 2, -x*h = -r - 4 for h.
3
Let w = -4 - -7. Let b(n) = 2*n**2 + 3 - 2*n - w + 1 + 4*n**3. Let t be b(1). Solve -3*p = -s + 2, 0 = -5*s - t*p + 19 + 11 for s.
5
Suppose -8 = 4*y, 0 = -3*m + 2*m + 2*y + 4. Suppose -3*k + 45 = 2*k. Suppose -u + k - 4 = 0. Solve h + 22 = 3*p + 7, m = -3*h - p - u for h.
-3
Let i(z) = -2*z - 15. Let r be i(-10). Solve -s - s + 6 = 0, -19 = r*j + 2*s for j.
-5
Suppose r + 4 = -2. Let w be 0 - (r*1)/2. Solve 0 = -a - 4*p + 21, -5*a + 3*a - w = -p for a.
1
Let n(l) = -l**2 - 4*l - 2. Let y(s) = -s**2 - s + 4. Let j be y(-3). Let m be n(j). Solve 0 = -5*w - 3*a - 27, -3*w + m*a - 2 = -1 for w.
-3
Let z(n) = -2*n - 4. Let b be z(-10). Solve 3*g - b = -g, 3*m - 2*g = -2 for m.
2
Let r = -58 - -60. Solve -r*l - 6 = 4*f - 2, -l - 3 = 3*f for f.
-1
Suppose -4*i + 19 = -3*i. Let c = i - 31. Let l = 5 - c. Solve -5*n - d = 2*d + 27, -3*n = 2*d + l for n.
-3
Let n be (7 + -10)*(-4)/2. Solve 5*t = n - 1, 4*d + 3*t = 15 for d.
3
Let h be 1/(-3)*9/(-1). Suppose h*s + 0*v = -4*v, 5*s = -3*v + 11. Solve 0*d + 5*m = -2*d, m = -s*d for d.
0
Let i be (-1)/(-4) + 477/12. Suppose 3*v = 2*v + 64. Let g = v - i. Solve 3*o = -m + 7, 0*o - 4*o + g = 5*m for o.
1
Let s(y) = -4 + 13*y - 7*y - y**2 - 11*y. Let m be s(-4). Solve m = 4*j + 3*t - 14, -4 - 31 = -5*j + 5*t for j.
5
Suppose -r = 3*a - 0 - 9, 2*a - 3*r + 5 = 0. Let k be (1 - (-12)/(-4 + 2))*-1. Solve -3*j = 3*s, -3*s + k*j - 24 = -a*s for s.
-4
Let x(u) = u**2 - u - 2. Let c be x(2). Solve -3*t = 2*z - c - 17, 0 = z - 5*t + 24 for z.
1
Suppose 3*h - 8 = 5*h. Let a = 12 + h. Solve -2 = 4*o - 3*o, -p + a = -4*o for p.
0
Suppose u + 3*u = 16. Suppose -5*i - u*h + 38 = 0, 2*i = 3*i + 2*h - 4. Solve -3*y = -5*w + i, 33 = 4*w + 3*y - 2 for w.
5
Let m = 0 - -3. Let t(k) = 2*k + 8. Let q be t(-7). Let o = -1 - q. Solve 3*s - 2 = o*s + u, 3*u = -m*s for s.
-2
Suppose -4*j = -3*w + 9, w - 5*j + 3*j - 5 = 0. Let m be 2/(-8) + w/(-4). Solve m = -5*g + 3*s - 7, 3*g + s + 4 = 3*s for g.
-2
Suppose -6 = 2*o + o. Let g be o + 8 + (-1 - 1). Solve g*f + 0*q + 6 = 2*q, 0 = -5*q + 25 for f.
1
Suppose 84 = -g - 3*g. Let q = 12 + g. Let t be (-1 - q/(-6))*-2. Solve -t*w = -2*w - 4*f - 26, 3*w - f - 11 = 0 for w.
2
Suppose -2*n + 15 = -5*c, 5*n - 33 = c - 7. Let d be (2 + c)/((-2)/(-4)). Solve -5 = d*r + y, -3*r - 1 - 9 = 4*y for r.
-2
Let f = 9 + -7. Solve 5*c - 12 = -f*h, -5*h - 8 - 28 = -4*c for c.
4
Let p = 112 - 102. Solve 5*l = 2*c - 14 + 4, 4*l = -2*c + p for c.
5
Suppose 0 = -7*y + 6*y. Suppose y = 5*x - x - 12. Suppose 3*n - 6 = 9. Solve -x*s - 3 = 3*j - j, -s = 2*j + n for j.
-3
Let x = 144 + -141. Solve -2*o = -3*g + 4, -5*o = -4*g - 7 + x for g.
4
Suppose g + 4*b + 4 = 0, -2*g = -2*b - 4 - 8. Suppose -g*n - n = -75. Suppose -4*a + n = 3. Solve 3*i + z + 5 = -2*i, 3*i + a = z for i.
-1
Let f = -1 + 3. Let d = -15 + 25. Let c(v) = -v**2 - 4*v + 2. Let y be c(-4). Solve -f*t = 3*t + 5, -d = 4*m + y*t for m.
-2
Let k(i) = i**3 + 5*i**2 - 6*i + 3. Let o(m) = m**2 + 5*m - 6. Let w be o(-5). Let y be k(w). Solve -2*x - 11 = -4*q - x, 4*x - 8 = y*q for q.
4
Suppose 0 = a + 4*a - 30. Let f(g) = g**2 + 11*g + 11. Let y be f(-10). Let t = a - y. Solve -t*q + 5 = -15, -13 = 3*c - 4*q for c.
1
Suppose 0 = 5*y - y - 16. Let v = 69 - -17. Suppose v = 3*g + 2*f, 0 = 5*g + 3*f - y*f - 139. Solve -2*z - 2*z - 3*a + g = 0, -z - 3*a = -16 for z.
4
Let b = 0 + 3. Suppose -l = b*l. Suppose l = -5*q + 3*s, -4*s = -3*s. Solve q = -g + 2*g - 5, 5*w - g - 20 = 0 for w.
5
Suppose -u - 1 = -3. Let c(k) = -k - 5. Let r be c(-5). Suppose 0 = 2*w + 2*w - 5*f + 8, w - f + 1 = 0. Solve -u*t + w*j + 2*j + 7 = r, t = -j - 7 for t.
-4
Suppose 2*b + 50 + 12 = 3*x, 5*x - 98 = -2*b. Let y = x + -13. Solve -g - 12 = -4*d + 6, 3*d - y = 4*g for g.
2
Let i = -7 + 5. Let v be 0*(-3)/12*i. Solve -5*n - 4*l = v, l = -2*n - 3*l for n.
0
Let f = 0 - -3. Suppose -5*x = -5*z - 10*x + 30, 4*z + f*x - 21 = 0. Solve z*p + 3 - 25 = -2*d, 4*d = 20 for p.
4
Suppose 5*c - 4*z - 12 = 0, -4*c - 5*z + 21 = -5. Suppose -9 = -c*n + 7. Solve 0 = -q - n*j - 6, 3*q + 2*j - 4 = -2 for q.
2
Suppose 2*z = -1 + 11. Solve 5*g = -5*y - 17 - 8, -y - 17 = z*g for y.
-2
Let u = 5 - 9. Let v be u/(-6)*3 - 0. Let k be -2 - -2 - (-18)/v. Solve 4*b + b + 4*q = -27, 5*b - 2*q = -k for b.
-3
Suppose -v = w - 4, 4*v = 3*w - 0*w + 23. Let g be (-41)/(-8) - v/40. Let m = -1 - -3. Solve g*i = z + m - 1, -5*z - 3*i + 23 = 0 for z.
4
Suppose 0 = 5*p - 2*p + 90. Let y be (-22)/(-10) + 6/p. Let k = y - 0. Solve -2*d = c + 8, 2*d + 4 - k = -4*c for c.
2
Let w be (1/(-3))/(6/(-108)). Let b = 13 + -8. Let g = w - b. Solve -g = 2*v - x - 0*x, 4 = -5*v + 2*x for v.
-2
Let f be 4/7 - (-152)/28. Solve -5*y = -j - f, 2*y - 4*y + 12 = 2*j for y.
2
Suppose -m = -a - 6, -a - 2*m + 4 = -m. Suppose 0*k + 10 = 5*k + 5*i, 37 = 5*k - 4*i. Let w = a + k. Solve -3*x = 0, j + w*j + 5*x = 0 for j.
0
Let r be 104/(-18) + 4/(-18). Let c(d) = 2*d - 23. Let n be c(13). Let w be (n/(-1))/(r/8). Solve w*f + 18 = v, -11 = 5*v + 5*f - 1 for v.
2
Let j = 5 + -4. Suppose -p - 2*g + 5 = 0, 4*p + j = g + 21. Solve -5*i = -5, p*c - 3*i + i = 23 for c.
5
Suppose -4 = -4*p + 3*p. Suppose p*w + 30 = 4*m - 2, 5*w - 20 = -m. Solve 3*i + 2*i = -5*y + m, -3*i - 2*y = -3 for i.
-1
Let i = 0 - -4. Suppose 0 = 5*q - 4 - 26. Solve y - q*y - 3*a - 3 = 0, -2*y - i*a - 4 = 0 for y.
0
Suppose 32 = 9*v - 4. Solve 5*s - v*b - 2 = 5, -4*b = 2*s - 14 for s.
3
Let t be (-6)/(-4) + 1/2. Suppose -1 = -4*c + 11, 3*s + t*c = 27. Solve z - 5*f - 7 = 0, -s - 2 = -5*z - f for z.
2
Let b = 68 - 64. Solve -2*y - 3*y = -u + 10, 3*y + b*u = -29 for y.
-3
Suppose 9 = 3*d - 6. Solve -3*z - 4 = -2*a, -z = 3*z + d*a - 33 for z.
2
Suppose -183 = q + 2*q. Let u = -36 - q. Solve -5*h = -w + 6*w + u, -3*h + 25 = -5*w for w.
-5
Suppose 10 - 1 = -3*k. Let r(z) = -z - 3. Let s be r(k). Suppose s*h = -h. Solve -5*g + 4*c - 12 = h, -6 = g - c - 3 for g.
0
Let w(r) = -4*r**3 + r**2. Let t be w(-1). Solve t*c - 15 = 0, 0 = 2*n - 5*c + 9 + 8 for n.
-1
Suppose -4*k + 12 = 2*k. Solve 3*g + 15 = 3, 16 = -k*b - 4*g for b.
0
Suppose -5*u = -2*u + 87. Let c = 53 + u. Solve -5*x = 3*p - 30, -3*p - 3 + c = 2*x for p.
5
Let h be 0/(1/(-1 + 2)). Let t = h + 4. Solve 0 = j + 5*n + t + 2, -4*j = 5*n + 9 for j.
-1
Let y = 78 - 162. Let f be y/(-18) + (-4)/6. Let o be -5*((-12)/5 - 0). Solve -5*t - o = 3*c - 2*c, -4*c = f*t for c.
3
Let i = 3 - 1. Let g = -3 + 7. Suppose 4*n + 7 = 4*d + 3, 4*n - g = 0. Solve 0 = -3*z - i*l - 1, 0 = -z - 5*l + d*l - 12 for z.
3
Let k be 6*3/2 - 4. Solve k*u + 0*u + 4*m - 20 = 0, -3*u - 5*m + 12 = 0 for u.
4
Let n = 3 + -7. Let f = 7 + n. Solve -3*o + o + s - 1 = 0, 0 = -2*o - 3*s + f for o.
0
Let j = 0 + 17. Let n = -8 + j. Let x be 2 + -3*6/n. Solve 10 = -5*g - x*g + 4*u, 4*u = 4*g + 12 for g.
2
Let v(u) = u**2 + 3*u - 10. Suppose n + 7 = 1. Let s be v(n). Solve -p - s = -3*c, 0*p = -p - 2*c + 7 for p.
1
Let c(t) = 2*t - 9. Let z be c(6). Suppose z*l - 3*h = -2*l + 13, -4*h = -2*l - 6. Let m be 4/10 + 23/5. Solve 5*k - l*p = k + 36, -m*k + p + 24 = 0 for k.
4
Let c be 4/(-10) + (-37)/(-5). Suppose y + 0 = -c. Let f(j) = -j - 7. Let s be f(y). Solve -v - 5*z + 2*z + 3 = 0, s = z for v.
3
Suppose -3*v + 11*v = 16. Solve 5*c = -v*u + 14, -3 = 3*c - 5*u + 1 for c.
2
Suppose -18 = -3*r + o - 1, -13 = -2*r + o. Suppose -5*n - 3*f + 63 = 0, n - 5*f = r*n - 25. Solve 2*y + 7 = c - 0, c - 4*y - n | {
"pile_set_name": "DM Mathematics"
} |
t term in 731, 753, 797, 869, 975, 1121, 1313, 1557?
1859
What comes next: 2806, 2803, 2798, 2791, 2782?
2771
What comes next: -1186, -1182, -1178?
-1174
What is the next term in -256, -433, -610?
-787
What comes next: 1, -9, -31, -71, -135, -229?
-359
What is next in -35, -42, -29, 10, 81, 190, 343?
546
What is the next term in -170, -169, -176, -197, -238, -305, -404?
-541
What is next in 54, 60, 70, 84, 102, 124, 150?
180
What is next in -10, -19, -36, -67, -118?
-195
What is next in 75, 63, 27, -45, -165, -345, -597?
-933
What comes next: 143, 137, 125, 107?
83
What is the next term in -18, -8, 16, 60, 130?
232
What comes next: 12, 30, 48, 66, 84, 102?
120
What is next in 12, 6, -16, -60, -132, -238, -384, -576?
-820
What comes next: 323, 638, 953, 1268, 1583?
1898
What is next in 30711, 30714, 30719, 30726, 30735, 30746?
30759
What comes next: -1251, -2501, -3751, -5001, -6251, -7501?
-8751
What comes next: -10201, -10200, -10199, -10198, -10197?
-10196
What comes next: 396, 383, 356, 309, 236, 131, -12, -199?
-436
What is next in -74, -138, -242, -386?
-570
What is the next term in 46, 163, 348, 601, 922, 1311?
1768
What is the next term in -38, -133, -298, -539, -862, -1273, -1778, -2383?
-3094
What comes next: 43, 82, 121, 160?
199
What is next in -11289, -11294, -11303, -11316?
-11333
What is the next term in -17901, -17902, -17903, -17904?
-17905
What is the next term in 23480, 46958, 70422, 93866, 117284, 140670, 164018?
187322
What is next in 170, 185, 210, 245, 290, 345?
410
What comes next: -75, -81, -97, -129, -183?
-265
What comes next: 63, 89, 161, 303, 539?
893
What comes next: -608, -605, -588, -551, -488, -393, -260, -83?
144
What comes next: -702, -694, -686, -678, -670?
-662
What is next in -4, 5, 14, 23?
32
What comes next: 51, 59, 71, 87, 107?
131
What comes next: 49, 178, 395, 700, 1093?
1574
What comes next: 20, 40, 76, 128, 196, 280, 380?
496
What comes next: -11232, -11228, -11214, -11184, -11132, -11052, -10938?
-10784
What is the next term in -5, -69, -131, -191?
-249
What comes next: 70, -81, -332, -683, -1134, -1685, -2336?
-3087
What comes next: 429, 863, 1297?
1731
What is next in 61, 74, 97, 136, 197, 286?
409
What is next in -6, -22, -38, -54, -70?
-86
What is next in -22, -44, -76, -124, -194?
-292
What is the next term in 31, 73, 115, 157, 199, 241?
283
What is the next term in -560, -550, -526, -482, -412, -310, -170?
14
What is the next term in 31, 25, 19, 13, 7?
1
What is next in -148, -293, -438, -583, -728?
-873
What is the next term in 6, 39, 130, 309, 606, 1051, 1674, 2505?
3574
What comes next: -90, -92, -94, -96, -98, -100?
-102
What is the next term in -329, -665, -1007, -1355, -1709, -2069?
-2435
What comes next: -86, -91, -100, -113?
-130
What is next in -100, -106, -110, -112, -112, -110?
-106
What is next in 5, 30, 99, 236, 465?
810
What comes next: 24573, 49145, 73717, 98289, 122861, 147433?
172005
What comes next: 51, 97, 165, 249, 343?
441
What is next in -417, -833, -1249?
-1665
What is next in -12, -63, -172, -357, -636, -1027, -1548?
-2217
What comes next: 213, 418, 635, 870, 1129?
1418
What comes next: 37, 35, -5, -89, -223?
-413
What is the next term in 1024, 1032, 1040, 1048, 1056, 1064?
1072
What comes next: 19, 47, 85, 133?
191
What is the next term in -360, -745, -1126, -1503?
-1876
What is the next term in -89, -87, -77, -59, -33, 1, 43?
93
What is the next term in 19695, 19699, 19705, 19713, 19723, 19735?
19749
What comes next: -389, -392, -395, -398, -401?
-404
What comes next: -10, -7, -4, -1, 2, 5?
8
What is next in -1553, -1558, -1563, -1568, -1573, -1578?
-1583
What is next in -84, -153, -184, -159, -60, 131, 432?
861
What is next in 17104, 17102, 17100, 17098, 17096?
17094
What comes next: 628, 636, 648, 664, 684, 708, 736?
768
What is the next term in -55, -85, -143, -235, -367, -545, -775?
-1063
What is next in -1149, -2301, -3453, -4605?
-5757
What is next in 8, 18, 28, 38, 48, 58?
68
What comes next: 728, 710, 692, 674?
656
What comes next: 4099, 4100, 4101, 4102, 4103?
4104
What is the next term in 790, 799, 808, 817, 826?
835
What is next in 7251, 7260, 7275, 7296, 7323, 7356?
7395
What is the next term in 35, 61, 103, 161, 235, 325, 431?
553
What is next in -42, -86, -130, -174, -218, -262?
-306
What is the next term in -44, -59, -74?
-89
What comes next: -53, -145, -299, -515?
-793
What comes next: 325, 285, 195, 31, -231, -615, -1145?
-1845
What is next in -821, -819, -809, -785, -741, -671, -569?
-429
What is next in -36, -37, -52, -87, -148, -241?
-372
What is the next term in 6284, 6286, 6290, 6296, 6304, 6314, 6326?
6340
What is next in 88, 375, 850, 1507, 2340?
3343
What is the next term in 778, 779, 780, 781?
782
What comes next: -47, -176, -389, -692, -1091?
-1592
What is the next term in 148, 301, 456, 613, 772, 933?
1096
What is the next term in -482, -959, -1436?
-1913
What is the next term in 172, 332, 468, 574, 644, 672?
652
What is next in -277, -290, -307, -328, -353, -382?
-415
What is next in 91, 100, 109, 118?
127
What is the next term in 27, 60, 93, 126, 159, 192?
225
What comes next: 4, 34, 84, 154, 244, 354?
484
What is next in -67, -110, -143, -160, -155, -122?
-55
What is next in -158, -317, -476, -635?
-794
What comes next: -91, -132, -173, -214, -255?
-296
What is the next term in 32, 128, 272, 458, 680, 932, 1208, 1502?
1808
What is the next term in 8, -3, -20, -43, -72, -107?
-148
What is the next term in 11, 26, 65, 140, 263, 446, 701, 1040?
1475
What is the next term in 32, 71, 134, 227, 356, 527, 746, 1019?
1352
What is the next term in -142, -485, -1056, -1855, -2882, -4137, -5620?
-7331
What is next in -194, -1029, -2420, -4367, -6870, -9929, -13544?
-17715
What is next in 404, 808, 1212?
1616
What is next in -1507, -3013, -4519, -6025, -7531?
-9037
What comes next: 18635, 18634, 18633?
18632
What is next in 2, 27, 68, 125?
198
What is next in 27, 133, 313, 567, 895, 1297, 1773?
2323
What comes next: -139, -229, -297, -337, -343, -309?
-229
What is the next term in -102, -109, -112, -111, -106, -97?
-84
What comes next: 19, 77, 195, 379, 635, 969?
1387
What is the next term in 3363, 3362, 3361, 3360, 3359?
3358
What comes next: 393, 378, 349, 300, 225, 118, -27?
-216
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-1212
What comes next: 544, 546, 548, 550, 552?
554
What is next in -30010, -30007, -30002, -29995, -29986?
-29975
What comes next: 155, 352, 549?
746
What is next in -854, -1709, -2564, -3419?
-4274
What is next in -7, -14, -21, -28, -35, -42?
-49
What comes next: -43, -164, -365, -646, -1007, -1448, -1969?
-2570
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-2222
What is next in -24, -19, -14, -9, -4?
1
What is the next term in 6097, 6098, 6099, 6100, 6101?
6102
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39
What is next in -1095, -2200, -3305?
-4410
What is next in -83, -118, -155, -194, -235?
-278
What comes next: -172, -347, -522, -697, -872, -1047?
-1222
What is next in 78, 92, 124, 180, 266, 388?
552
What is the next term in 4, 52, 184, 442, 868?
1504
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-2603
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-7951
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201
What is next in -8, -2, 16, 52, 112, 202?
328
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-430
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316
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1005
What comes next: -202, -810, -1822, -3238, -5058, -7282?
-9910
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-1697
What comes next: 2, -11, -58, -157, -326, -583, -946, -1433?
-2062
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-278
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-4533
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5835
What comes next: -6832, -6833, -6834, -6835, -6836?
-6837
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-513
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-1173
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-45053
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-5906
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-10495
What comes next: -20, -44, -68?
-92
What is next in -2890, -289 | {
"pile_set_name": "DM Mathematics"
} |
-18))?
2
19 - 12 - (-2 + 14)
-5
What is the value of 12 + (-14 - (-9 - 4))?
11
What is the value of -7 - (-10 + -5 + 0)?
8
Calculate 1 + -2 - (137 + -142).
4
Calculate 0 - 3 - -10 - 3.
4
Evaluate 8 + (-5 - (-4 + 3)).
4
What is the value of 0 + 2 + (-18 - -17)?
1
Calculate (1 - -4) + -5 - 1.
-1
Evaluate (-16 - -9) + -5 + 13.
1
Evaluate (-52 + 42 - (-3 + 0)) + -1.
-8
What is the value of -2 + (-4 - 0) + 3?
-3
Evaluate 8 + -8 + 5 + -3.
2
What is the value of (13 - 1) + 169 + -183?
-2
Evaluate -5 + 0 + 2 + -1.
-4
Evaluate (-2 - -8) + -6 - -3.
3
1 - 3 - (6 - (11 - -5))
8
-3 + 6 + (1 - 3)
1
37 - 38 - (6 + -2)
-5
What is the value of 8 - 1 - (3 - -1 - 0)?
3
What is -1 + 1 - 3 - (54 + -58)?
1
(-1 + -5 + 0 - 0) + 4
-2
Evaluate 5 - (10 - (0 - -4)).
-1
What is -4 + ((1 - 2) + 4 - 3)?
-4
What is the value of -9 - -11 - (-5 - (-2 - 0))?
5
-2 - (2 - -2) - -2
-4
Evaluate -8 + 4 + 6 - -3.
5
-7 - (1 + 0 + -6 + 0)
-2
Evaluate (-1 + -2 - 1) + 5.
1
Calculate (7 - 6) + -3 + 2.
0
What is (-3 - -9) + -1 + (-2 - 5)?
-2
Calculate -6 - (10 - 11 - 2).
-3
Evaluate -15 + -1 + 155 + -143.
-4
What is -104 + 104 + -1 + -1?
-2
Calculate (1 - (7 + 2)) + 4 - 1.
-5
Evaluate 4 - 1 - (-5 - (2 + -7)).
3
(1 - -2) + (2 - 3)
2
Evaluate (-3 - (-8 - -4)) + 2.
3
Evaluate 3 + (3 - 10) + 5.
1
1 - (-4 - -7 - (0 - 0))
-2
-4 - -11 - (3 - 6)
10
What is -6 + (3 - (6 - 13))?
4
What is 6 - 1 - (5 + 2)?
-2
-19 + 20 + -19 + (1 - -7)
-10
(-6 - (4 - 5)) + 1 + 1
-3
Evaluate (0 - 0) + (-21 - -24) + -11.
-8
Evaluate -4 - (7 - 3 - 3).
-5
Calculate 5 + -6 + -2 - (0 + 0).
-3
What is the value of -3 + 3 + 2 - (0 - 0)?
2
What is the value of -2 + 3 - -1 - (4 + -1)?
-1
Evaluate 7 - ((-11 + 7 - -4) + 15).
-8
What is (0 - -4 - (8 + -2)) + 2?
0
-2 - (9 - 12) - 8
-7
-2 - (-7 + 8) - (-2 + -1)
0
What is the value of -4 - 3 - (-4 - (-5 - -8))?
0
3 - (3 - 1) - (1 + -4)
4
Calculate 2 + 1 + (-13 - -6).
-4
What is -1 + (5 - (-12 + 11))?
5
What is the value of (-4 + 2 - -3 - 4) + 1?
-2
What is the value of (3 - ((1 - 1) + 4)) + 3?
2
Calculate (-1 - -6) + (-5 - 1).
-1
Evaluate 9 + -4 + (-5 - 1).
-1
-1 + -2 + 1 - (-48 - -45)
1
(-1 - 0) + -9 + 7 + -1
-4
(-3 - 3) + 8 + 2
4
What is the value of 3 - -3 - 7 - (5 + -1)?
-5
What is the value of -3 + (3 + (-6 - -3) - -2)?
-1
What is 7 + -5 + -2 + 6?
6
What is (26 - 36) + (6 - 0) + 1?
-3
Evaluate 5 - ((9 - -2) + -12).
6
Calculate -1 + 2 + 8 + -4 - 5.
0
(-8 - (-7 - (-6 - -5))) + -1
-3
What is (1 - (0 + 1)) + 47 + -51?
-4
Calculate 13 - (3 + 10) - 7.
-7
What is 5 + -12 + 2 - -2 - 0?
-3
Calculate 1 + -10 - -1 - -1.
-7
Calculate (11 - 16) + (9 - 0).
4
2 + (13 + -8 - 2) - 7
-2
Evaluate -11 - (-1 + (10 - 13)).
-7
Calculate 8 - (-4 - (-12 - -5)).
5
What is 1 + 0 - (-55 - -52)?
4
Calculate -3 + 14 + -4 + -3.
4
Evaluate (-30 + 23 - -1) + -1 + 12.
5
Evaluate 6 + -6 + (3 - 1).
2
What is 0 + 10 - 6 - (4 + 0)?
0
What is the value of (17 - 9) + -3 + 1?
6
Evaluate -7 + (1 - -2) + 1 + -1.
-4
Evaluate (1 - -1) + -1 + -3 + -1.
-3
Calculate -1 - (7 - (-1 - -7)).
-2
-4 - -11 - 5 - (-6 - -1)
7
What is the value of (15 - (27 - 5)) + 1 + -1?
-7
What is 4 + 0 - (0 + 4 + -3)?
3
What is -10 - -6 - (-3 + (-1 - -3))?
-3
Evaluate -1 + -1 + 12 + -9.
1
Evaluate -1 + -3 + -9 + 14.
1
What is -3 + 2 + 4 + 1?
4
Evaluate -11 + 15 + -5 - (-1 - -4).
-4
Evaluate (-6 - -1) + -11 + (-11 - -24).
-3
Evaluate (12 - (2 + -2 - -7)) + -15.
-10
-2 + (-11 + 7 - -5)
-1
-1 + (-7 - (-6 - 2))
0
Evaluate -1 + -2 - ((-6 - -3) + -3).
3
(-1 - -2) + -1 - (99 - 96)
-3
Calculate 8 + -5 + (-1 - -2).
4
(2 - 4) + 0 + -1
-3
What is 9 + -10 - (-1 - (4 - 2))?
2
Calculate -8 + 2 + 9 + -5 + 10.
8
-7 + 10 - -1 - (0 - 3)
7
What is -4 - (-2 + (2 - 0))?
-4
What is the value of -2 - (-1 + (4 - (-2 - -10)))?
3
What is the value of (12 - 5 - 13) + 8?
2
Evaluate 0 + 6 + (-3 - -2 - 0).
5
What is 6 + -4 + 3 + 0?
5
Evaluate 1 + (7 - 7) + 4.
5
What is 8 - (-5 + (-2 - (0 - 17)))?
-2
Evaluate -4 + 6 + -2 + (2 - 5).
-3
What is (8 - 0) + -8 + -9 + 0?
-9
0 - (-3 - -3) - (0 + -4)
4
Calculate 1 - 1 - (2 - (5 - 8)).
-5
1 + 7 - (3 - -3 - 2)
4
2 + (-4 + -1 - -5)
2
Evaluate 1 + (-4 - (-5 - -1)) - 1.
0
Calculate -5 + -9 + -11 + 15.
-10
Evaluate -1 - 2 - (1 - 0).
-4
What is (-3 - -6) + 0 + -7?
-4
What is 2 + (-4 - (9 - 9))?
-2
Calculate -1 + 4 + (2 - 2).
3
What is (-8 - -1) + -7 + 13?
-1
-13 - (7 + (-22 - -10))
-8
What is the value of -1 + 0 + 3 + -7?
-5
What is the value of -2 + 1 + 4 + -5?
-2
What is 3 - (2 - 3 - (-15 + 10))?
-1
Evaluate -1 - 1 - (1 - 5).
2
What is the value of 5 - ((-1 - -8) + 8 + -10)?
0
Calculate 1 - (2 - (-3 + 1 + -2)).
-5
What is 3 + -3 + -3 + 0?
-3
Calculate -2 + -5 - -12 - (-1 - 0).
6
-13 + 6 + 6 + -2 + 0
-3
Evaluate 4 + 1 + -3 + -7.
-5
What is 9 + -12 + 11 - 6?
2
What is 0 - (4 - 0) - -1 - -8?
5
-8 - ((56 - 54) + (-15 - 1))
6
4 - (-3 + -4 - -14)
-3
Evaluate -2 + 0 + 3 - (-4 - -4).
1
What is -10 - -1 - (33 - 39)?
-3
(-9 - 1) + 2 - -9
1
What is the value of 4 - ((6 - 5) + 6)?
-3
(0 - -4) + -1 + 2 - 0
5
Evaluate 3 - ((-10 - -10) + 11).
-8
What is -1 - 2 - 2 - -4?
-1
1 - ((1 - (4 + -1)) + 1)
2
Calculate 2 - 0 - 4 - (0 + 3).
-5
What is the value of 11 + (-13 - (-14 - -2))?
10
What is the value of 13 + -10 + (0 - -2) - -3?
8
(45 - 43) + -2 + 4
4
What is the value of -2 - (5 + (-6 - -3))?
-4
What is the value of (-12 + -4 - -13) + (0 - 0)?
-3
17 - (8 + 4 + 2)
3
Evaluate -1 - ((9 - 4) + -3) - -4.
1
Calculate 0 - (-1 + (10 - 4)).
-5
-2 - (-7 + 1) - -2
6
-14 + 1 + 6 - -11
4
-4 - (6 - (3 - 0) - 1)
-6
What is 7 + (4 - 6) + 1?
6
What is the value of 1 - (1 - (7 + (-3 - 1)))?
3
Calculate 1 + (0 - -2) + -7 + 0.
-4
What is 4 + (8 - 9) + -8?
-5
What is -5 + 2 + -16 + 26?
7
What is -3 - ((-1 - 1) + -9 + 8)?
0
What is -4 + 4 + -11 + 4 - -2?
-5
Evaluate 1 + (3 - 0) + (18 - 17).
5
Calculate (-2 - 0 - (2 - 4)) + -7.
-7
What is 14 + -5 + -1 - (2 - 3)?
9
What is 0 - (7 - 6) - 3?
-4
-4 - ((-7 - -10) + -11 + 2)
2
What is 17 - 13 - (5 - 3)?
2
1 - -2 - (6 - 6)
3
What is -6 + 1 + 4 + 2 - 6?
-5
What is the value of -14 + 5 + (1 - -5)?
-3
Calculate (0 - -5) + -1 - 2.
2
Evaluate (5 - 2) + 1 + 4 + -10.
-2
Calculate 3 + 2 - 6 - -3.
2
What is 1 + -2 + 2 - (0 + 2)?
-1
What is the value of (5 - 11) + 4 - -8 - 2?
4
Calculate 26 - 26 - ((-4 - 0) + 1).
3
What is the value of 6 + (-10 - (-8 + 4))?
0
What is the value of 13 - (2 - 0) - 11?
0
What is 11 + -2 + -6 - -2?
5
(-3 - -5) + 3 + -2 - -2
5
(-21 - -25) + -2 + 3
5
Calculate (-1 - (6 + 2)) + 3.
-6
What is 4 - (3 + (-6 - (-2 - 1)))?
4
3 + -6 - (-4 + -2)
3
What is the value of (31 - 28) + 1 + 3?
7
What is the value of -4 + 4 - (1 - (1 - -5))?
5
What is 4 + -9 + 4 + -1?
-2
21 + -10 + -15 + 8
4
Calculate (2 - 3) + -3 + (1 - -8).
5
Evaluate (0 - 0 - (8 - 6)) + 6.
4
3 + (7 - 2 - 7)
1
(-11 - (-5 + -9)) + 7
10
What is -6 + 4 + -2 - (29 + -33)?
0
What is 1 - (-5 - (-3 - 2))?
1
Evaluate 4 - (3 + 0 + -1).
2
-5 + (5 - 3) - 0
-3
-5 + (0 - -5) + 4
4
9 - (9 + -1) - (-1 + -3)
5
What is -2 - (1 + -2) - (48 - 52)?
3
What is -6 + (4 - 2) + 7?
3
-16 + 7 + (8 - 2)
-3
What is 4 - (5 + -1 + -5) - 0?
5
(1 - 0) + (4 - (14 - 4))
-5
Calculate -9 + (-4 + 12 - (-2 + 6)).
-5
Calculate (3 - -1) + -10 + 6 + 6.
6
What is the value of -9 + (-14 - -13) + 11?
1
Calculate -2 - (-6 + 4 - 3).
3
What is -2 - (-10 + 12 + -4)?
0
What is the value of 0 - 12 - (110 + -123)?
1
Calculate 3 - (-5 - (-9 - -6)).
5
(-5 - -5) + -1 - -1
0
0 + (-6 - 3) + 6
-3
-1 + (11 - 16) + 4 + 3
1
2 + (-7 - -1) + -1
-5
(-4 + -3 - 0) + (0 - -10)
3
-5 + 6 + -8 + 3 - -2
-2
Evaluate 6 - (0 - (-7 + 6)).
5
(0 - 3) + -1 + -1
-5
Calculate -7 - (15 + -7 - 11).
-4
What is 6 + 1 - (11 + 11 + -16)?
1
What is the value of 5 - (4 + -6 + 5)?
2
What is the value of -5 + (11 - (20 - 12))?
-2
Calculate 1 + (-1 - (-9 - -3)).
6
What is (-11 - -18 - -4) + -19?
-8
Evaluate -2 - 0 - (-23 + 24).
-3
-10 - (-20 + (11 - 1))
0
Evaluate -4 - -2 - (-1 - 3).
2
Calculate 3 - (-11 + (9 - -1)).
4
Evaluate -7 - (-4 + -7) - 3.
1
(4 - 7 - -1) + 0
-2
-11 + -3 + (-3 - -10) + 4
-3
Evaluate (1 - (-1 - -4)) + 3.
1
2 + -4 - (-5 + (-8 - -11))
0
What is the value of 4 - ((5 - 8) + -2 + 3)?
6
Calculate -1 + (0 + -5 - -4).
-2
((-1 - -3) + 1 - 8) + 4
-1
((-1 - -3) + 3 - 2) + 2
5
Calculate 2 - 3 - (1 + 0) - 0.
-2
Evaluate (-3 - (0 - (8 + -4))) + 2.
3
(0 + -1 + -3 - -1) + -2
-5
Calculate -1 + (1 - (6 - 9)) + -1.
2
What is the value of 1 - 3 - | {
"pile_set_name": "DM Mathematics"
} |
Let w(a) = -2*a + 5*a - 4 + 1 - 2*a**2 + 3*a**2. Let h(o) = 3*p(o) + 2*w(o). Let b(q) = -q + 5*q - 3*q. Calculate b(h(g)).
-4*g**2
Let l(t) = -2*t**2. Let a(d) = -d**2 + 28*d. What is l(a(b))?
-2*b**4 + 112*b**3 - 1568*b**2
Let v(z) = -5*z. Let m(r) = 2*r**2 - 2*r + 3. Let n be m(2). Suppose 2*o - n*o + 10 = 0. Let y(i) = 5*i**o - 3*i**2 - 2*i**2 + 2*i**2. Give v(y(a)).
-10*a**2
Let l(y) = -y. Let r(u) be the second derivative of u**5/60 + 7*u**3/6 - 7*u. Let q(o) be the second derivative of r(o). Calculate q(l(n)).
-2*n
Let t(y) = -3*y**2. Let d be 2/(-7)*(-4 - 3). Let b(i) = -3*i**2 + 2*i**2 - 2*i**d. Determine b(t(v)).
-27*v**4
Let u(r) be the third derivative of -r**6/240 + r**4/12 + 2*r**2. Let b(d) be the second derivative of u(d). Let g(c) = 18*c - 5*c - 11*c. Determine g(b(h)).
-6*h
Let j(m) = -27*m. Let b(c) = -2*c**2. What is j(b(o))?
54*o**2
Let g(y) = -y. Let m(r) = -6*r**2 - r. Let q(l) = l**2 + 1868 - l - 1868. Let f(i) = -i - 7. Let u be f(-6). Let j(k) = u*q(k) + m(k). Give j(g(o)).
-7*o**2
Let x(b) = b - 2. Suppose -20 = -3*z - 8. Let c(k) = -2*k + 5. Let l(a) = z*c(a) + 10*x(a). Let f(p) = -2*p**2. Give f(l(d)).
-8*d**2
Let t(j) = -10*j. Let d(g) = -37*g**2. What is d(t(l))?
-3700*l**2
Let o(n) be the first derivative of -15*n**2/2 - 7. Let f(d) = d. Determine o(f(l)).
-15*l
Let x(y) = -4*y**2. Let p(n) = 3021*n**2. Calculate p(x(r)).
48336*r**4
Let r(i) = -6 + 6*i - 3*i + 6. Let b(j) = -3*j. Calculate b(r(h)).
-9*h
Let k(t) = -94*t**2 + 2 + 95*t**2 - 2. Let o(q) = -36*q. Calculate k(o(r)).
1296*r**2
Let x(z) be the first derivative of 1 - 1/2*z**2 + 0*z. Let t(h) = 4*h. Calculate x(t(u)).
-4*u
Let z(y) = -y**2 + y**2 - y**2. Let l(a) = -a + 4*a - 3*a - 4*a**2. What is z(l(f))?
-16*f**4
Let y be (-1)/4 - 200/(-32). Let h(r) = -7*r**2. Let p(n) = n**2. Let m(z) = y*h(z) + 39*p(z). Let o(s) = -7*s. Calculate o(m(q)).
21*q**2
Let w(f) = 2*f. Let b(l) be the third derivative of l**6/360 - 4*l**3/3 + l**2. Let x(r) be the first derivative of b(r). Calculate w(x(d)).
2*d**2
Let f(n) = -2*n**2. Let u(m) = 518*m**2. Determine u(f(b)).
2072*b**4
Let q be (-6)/9*-3*4. Let z(a) = -a + 9. Let y be z(q). Let s(r) = r - 1. Let h(w) = -3*w + 2. Let i(v) = y*h(v) + 2*s(v). Let k(x) = -x**2. Determine i(k(p)).
p**2
Let a(i) be the third derivative of -i**5/30 + 12*i**2. Let z(g) = 2*g**2. Determine a(z(y)).
-8*y**4
Let y(u) = -u**2 - 29. Let i(g) = 2*g. Calculate y(i(v)).
-4*v**2 - 29
Let s(r) = -6*r**2 + 4. Let t(w) = 44*w. Determine s(t(c)).
-11616*c**2 + 4
Let i(x) = -2*x + 12. Let r(l) = -l + 5. Suppose -5*j - 3*k = -22, 5*k = 1 - 6. Let o(d) = j*i(d) - 12*r(d). Let h(v) = v**2 + 0*v**2 + 2*v**2. What is o(h(y))?
6*y**2
Let w(y) be the first derivative of -2*y**2 - 3. Suppose 0 = 4*q - 5 - 3. Let m(u) = u - u - u**q. Give m(w(n)).
-16*n**2
Let t(w) = w + 1. Let i(h) = 3*h + 2. Let j = -1 - -2. Let z(y) = -2*y**2 + 2*y - 1. Let u be z(j). Let d(k) = u*i(k) + 2*t(k). Let b(q) = q. Calculate b(d(a)).
-a
Let c(f) = -29*f**2. Let k(b) = 8*b**2. Calculate c(k(p)).
-1856*p**4
Let t(z) = z + 3. Let k(i) = -i - 7. Let m(j) = -3*k(j) - 7*t(j). Let w(o) = -8*o**2. Calculate m(w(a)).
32*a**2
Let w(x) = 15 - 5 - 3*x**2 - 10. Let i(r) = 18*r. What is i(w(b))?
-54*b**2
Let m(v) = -v**2 + 73*v. Let r(c) = -29*c. What is m(r(x))?
-841*x**2 - 2117*x
Let h(i) = -10*i**2. Let l(d) = 6*d + 4. Let y(b) = -5*b - 3. Let v(w) = -3*l(w) - 4*y(w). Give v(h(x)).
-20*x**2
Let i(o) = -25*o**2 + 10*o - 10. Let j(q) = -8*q**2 + 3*q - 3. Let b(k) = -3*i(k) + 10*j(k). Let p(x) = 2*x. What is p(b(v))?
-10*v**2
Let p(d) = -4*d + d + 0*d + 5*d. Let r(x) = 4*x. What is r(p(l))?
8*l
Let u(n) = n**2. Let y(c) = -131*c. Give y(u(f)).
-131*f**2
Let t(n) be the second derivative of -5*n**4/12 - 25*n. Let z(j) = 6*j**2. Determine t(z(l)).
-180*l**4
Let m(n) = 9*n**2. Let i(w) = -35*w**2. Calculate m(i(f)).
11025*f**4
Let h(l) = 1. Let j(r) = -r**2 + 3. Let p(w) = 3*h(w) - j(w). Let x(q) = -11*q**2. Give x(p(s)).
-11*s**4
Let p(w) = -4*w. Let f(h) = 126*h - 4. Determine f(p(j)).
-504*j - 4
Let k(s) = 4*s. Let t(d) = 5*d**2 - 4*d**2 + 17*d - 17*d. What is t(k(h))?
16*h**2
Let x(h) = -3*h - 4. Let p(l) = 3*l + 3. Let b(n) = -4*p(n) - 3*x(n). Let m(t) = -3*t - 2*t + 5*t + 2*t. Determine b(m(c)).
-6*c
Let m(y) = 11*y**2. Let p(j) = 882*j**2. What is p(m(w))?
106722*w**4
Let w(f) = -7166*f. Let z(p) = -p. What is w(z(t))?
7166*t
Let q(z) = -3*z - 3. Let n(l) = 28*l + 26. Let o(c) = 6*n(c) + 52*q(c). Let b(u) = 2*u. Give o(b(v)).
24*v
Let f(x) = 2*x. Let g(l) be the second derivative of 0*l**3 + 2*l + 0 + 1/6*l**4 + 0*l**2. What is f(g(c))?
4*c**2
Let i(z) be the second derivative of -2*z**3/3 + z - 44. Let u(o) = 10*o + 11. Let v(t) = -2*t - 2. Let r(y) = 2*u(y) + 11*v(y). What is i(r(x))?
8*x
Let a(d) = -2*d + 1. Let n(x) = 4*x**2. What is a(n(q))?
-8*q**2 + 1
Let u(z) = -z**2. Let k(l) be the second derivative of -25*l**3/6 - 9*l. Determine k(u(c)).
25*c**2
Let p(x) = 3*x + 36. Let z(t) = 8*t**2. Calculate p(z(m)).
24*m**2 + 36
Let g = 10 - 15. Let a(f) = -3*f + 2. Let s(d) = 7*d - 5. Let j(b) = g*a(b) - 2*s(b). Let v(t) = -2*t**2. What is j(v(o))?
-2*o**2
Let r(i) = i. Let t(z) = -77*z + 18. Determine t(r(y)).
-77*y + 18
Let p(t) = -149*t**2. Let w(a) = a**2. What is w(p(g))?
22201*g**4
Let q(u) be the third derivative of u**5/60 + 2*u**2. Let d(n) = -8*n**2 + 5*n**2 + 0 + 0. Calculate q(d(k)).
9*k**4
Let r(d) = -d - 1. Let o(m) = 15*m + 2. Let j(b) = o(b) + 2*r(b). Let i(v) = -3*v**2. Calculate i(j(x)).
-507*x**2
Let j(y) = -y. Let v(g) = 1455*g**2. What is j(v(x))?
-1455*x**2
Let y(a) = 3*a. Let j(z) = -935*z**2. Determine y(j(i)).
-2805*i**2
Let n(o) = -35*o. Let s(r) = -7*r**2. What is n(s(l))?
245*l**2
Let o(j) = -13*j**2. Let r(q) = -2*q - 2. Let u(g) = -g**2 + 3*g + 3. Let z(l) = 3*r(l) + 2*u(l). What is z(o(y))?
-338*y**4
Let j(i) = 2*i. Let d(x) = -155*x**2 - x. Give j(d(s)).
-310*s**2 - 2*s
Let y(u) = -791*u. Let d(t) = 22*t. What is y(d(f))?
-17402*f
Let h(c) = 4*c + 3. Let a(m) = -17*m - 13. Let o(u) = -16*u - 12. Let k(w) = 4*a(w) - 5*o(w). Let x(t) = -8*h(t) + 3*k(t). Let n(v) = 2*v**2. Calculate n(x(f)).
32*f**2
Let z(o) = -8*o + 4. Let p(a) = -7*a + 3. Let u(l) = -4*p(l) + 3*z(l). Let n(t) = 0*t**2 + 4*t**2 - 2*t**2. What is u(n(y))?
8*y**2
Let c(v) = 97 - 97 - v**2. Suppose 2*l + 2 = -3*h + h, -14 = -4*h + 2*l. Let o(s) = -h*s - s + s. Determine o(c(t)).
2*t**2
Let f(x) be the second derivative of -x**5/120 - x**3/6 - x. Let r(c) be the second derivative of f(c). Let d(k) = -18 + 3*k + 18. What is r(d(m))?
-3*m
Let m(j) = -59*j**2 - 3. Let n(r) = r. Give n(m(p)).
-59*p**2 - 3
Let i be (2 + -1)*(0 - -2). Let b(j) = -2*j**i - 15*j + 15*j. Let v(x) = -3*x. Give b(v(q)).
-18*q**2
Let o(r) = 2*r. Let b(y) = y**2 - 13*y + 0*y**2 + 15*y. Give b(o(w)).
4*w**2 + 4*w
Let a(r) = 149*r. Let y(q) = 2*q. Determine y(a(v)).
298*v
Let y(d) be the third derivative of d**6/720 - d**4/12 + 7*d**2. Let u(p) be the second derivative of y(p). Let r(j) = 4*j. Calculate u(r(w)).
4*w
Let l(x) = x**2 - 7*x + 8. Let k be l(6). Let v(i) = -k*i - 2*i + 3*i. Let z(y) = -y. What is z(v(q))?
q
Let u(d) = 30*d - 4. Let r(a) = -3*a. Calculate u(r(h)).
-90*h - 4
Let j(m) be the third derivative of m**4/6 - 3*m**2. Suppose 4*c = 20, -c + 25 = 4*v + 4*c. Let i(t) = 0 + 0 - t**2 + v. What is j(i(b))?
-4*b**2
Let b(u) = -u**2 - 2*u - 1. Let k(s) = -3*s**2 - 10*s - 5. Let r(c) = 5*b(c) - k(c). Let v(l) = -3*l**2 - 6*l**2 + 2*l**2. Calculate v(r(n)).
-28*n**4
Let q(n) = -3*n. Let d(j) = -j + 2. Calculate q(d(t)).
3*t - 6
Let h(s) = -7*s**2 - 3*s - 2*s + 5*s. Let r(m) = -11*m**2 + 4*m**2 + 4*m**2 + 4*m**2. Determine h(r(a)).
-7*a**4
Let k(r) = -2*r**2. Let w(d) = d**2 - 4*d. Suppose 0*h - 2 = -h. Let g(l) = l - l**2 + 2 - h. Let s(f) = -4*g(f) - w(f). Calculate s(k(b)).
12*b**4
Let g(j) = -j. Let b(y) = 8794*y**2. Calculate g(b(i)).
-8794*i**2
Let c(p) = -3*p**2. Let f(w) = -7*w - 5. What is f(c(q))?
21*q**2 - 5
Let g(i) = -2*i**2. Let h(b) = 17*b**2. What is h(g(n))?
68*n**4
Let n(g) = 169*g**2 - 11*g. Let x(c) = 3*c. What is x(n(p))?
507*p**2 - 33*p
Let y(f) = -5*f - 8. Let l(q) = 10*q. Determine y(l(v)).
-50*v - 8
Let j(k) = k. Let n(d) be the second derivative of 0 + 0*d**2 - d + 1/3*d**4 + 0*d**3. W | {
"pile_set_name": "DM Mathematics"
} |
-2*f**2 - 35*f - 97. Let y be j(-14). Let c(l) = -1 + 0*l + 3*l - 5*l. Calculate c(y).
-3
Let v(l) be the second derivative of -l**4/6 - l**3/6 + 11*l. Suppose -4*u + n = -u + 4, -10 = 5*n. Let f be ((-2)/(-8))/(u/(-8)). Give v(f).
-3
Let d = 49 + -49. Suppose d = 8*m + 49 - 9. Let i(c) = c - 3. What is i(m)?
-8
Suppose -100 = -6*k - 4. Let i(w) = 2*w - 30. Let p be i(k). Let r(l) = -2*l**3 + 2*l**2 + l - 2. Determine r(p).
-8
Let l(b) = -34*b**3 - 2*b**2 + 2*b - 1. Suppose o + 2 = -3*q, 0 = q + 4*o - o + 14. Calculate l(q).
-35
Let c(q) = 2*q - 8. Let b(a) be the first derivative of -a**2 + a + 25. Let z be b(-3). Determine c(z).
6
Let c(u) = u**2 - 6*u - 4. Let o be c(5). Let d(p) = -8*p - 9 - 7462*p**2 + 7461*p**2 + 16. Determine d(o).
-2
Let g(l) = -l**3 - 8*l**2 - 6. Suppose -31*h + 32*h + 3*w + 2 = 0, h + w + 6 = 0. Give g(h).
-6
Let u(t) = -t**2 - 5*t. Let w(n) = 6*n**2 + 27*n. Let q(j) = 22*u(j) + 4*w(j). Determine q(2).
4
Let f(d) = -5*d**2 + 12*d + 9. Let t(i) = 9*i**2 - 22*i - 16. Let s(z) = 7*f(z) + 4*t(z). Determine s(4).
-1
Let q(s) = -7*s**3 + 4*s**2 - 3. Let b be q(-1). Let a(x) = -2*x**3 + 7*x**2 + 6*x + 11. Let u(c) = -c**3 - c + 1. Let p(k) = -a(k) + u(k). Calculate p(b).
-2
Let v(q) = -53*q**2 + 2*q - 2. Let m(i) = 103*i**2 - 3*i + 3. Let t(p) = 3*m(p) + 5*v(p). Determine t(1).
44
Let l(y) = 5*y**3 - 42*y**2 - 6*y - 66. Let h(c) = 2*c**3 - 14*c**2 - 2*c - 22. Let w(v) = -8*h(v) + 3*l(v). Let r be w(-14). Let s(u) = -2*u + 8. What is s(r)?
-4
Let j(d) = -31*d - 30. Let v be j(-4). Let g = -93 + v. Let m(p) = -p**2 - p. Let s(w) = -6*w**2 + 3*w - 1. Let n(q) = -2*m(q) - s(q). Determine n(g).
8
Let k(w) = w**2 + 3 - 9*w + 9*w - 2. Let y(a) = 5*a**2 + 0*a - 9*a + 2 - 2*a**2 + 2*a. Let t(i) = 4*k(i) - y(i). Give t(-6).
-4
Let q(p) be the second derivative of 0 - 40*p - 1/6*p**3 + 7/2*p**2. Let x be 0/(0/(-1) + -2). Determine q(x).
7
Let k(o) be the third derivative of -o**5/15 + o**4/8 - o**3/3 - 17*o**2. Let j(b) = b**2 - b. Let g(n) = -3*j(n) - k(n). What is g(3)?
11
Let c(l) be the second derivative of -7*l**3/6 - 16*l**2 - 6*l + 26. Determine c(-5).
3
Suppose 2*a + 2*a + 5*j - 3 = 0, 5*a = 3*j + 13. Suppose 2*n + a*n - 8 = 0. Let s(r) = r - r - 9*r + n + 6*r. Calculate s(3).
-7
Let w = -33 - -36. Let a(g) = 4*g - 1 - w*g - 2*g + 4*g**2. Give a(-1).
4
Let z = 17 - 13. Let w(t) = 3 - t**2 - 9 + 1444*t - 1438*t. Determine w(z).
2
Let z(j) = 47*j - 25*j - 29*j. Determine z(1).
-7
Let a(v) = -2*v - 2. Let k be a(-4). Let w(f) be the first derivative of f**4/4 - 2*f**3 + f**2/2 - 2*f + 115. What is w(k)?
4
Suppose -w - 3*v = -13, -3*w + 15 = 4*v - 4. Let s(t) = 4*t**2 + 3*t - 1. Let c be s(-2). Let n(z) = 0*z - c*z - 7*z + 12*z. Give n(w).
-4
Suppose 2*d + 4 = 4*b, 7*d = 4*d + 3*b. Let p(y) = -14*y - 1 + 5 + 9*y - y**d. Give p(-5).
4
Let y = 4 + -4. Let x(p) = 3*p + y*p - 3 - 2*p. Let z be (-1)/(-4)*10*2. Determine x(z).
2
Let r be 2/4*3*-4. Suppose -4*w = -p - 23, -2*w - w + 2*p + 21 = 0. Let y(d) = d - w + 3*d - 5*d. What is y(r)?
1
Suppose 8*d - 6 = 7*d. Let r(t) = 6*t**2 - d*t**2 + 0*t**2 + t**2. Determine r(-3).
9
Let y(x) = 2*x + 0*x - 3 + 3 - 1. Suppose i + 7 = 8*i. Let t be (-9)/45*(i/(-1) + -4). Give y(t).
1
Let k(g) = g - 7. Let m(w) = 7*w - 1. Let c be m(2). Let q be k(c). Let l(t) = 0*t + 4 + 1 - 2*t. Determine l(q).
-7
Let k = 170 + -172. Let p(g) = -g**3 - 3*g**2 + 3*g + 1. Give p(k).
-9
Let h(p) = -p - 1. Let r(i) = -i**2 - i - 8. Suppose -4 = -2*v - 2*v. Let w(y) = v*r(y) - 6*h(y). Give w(6).
-8
Let m be 3 + -2 + -1 + 6. Let v(h) = -8*h**2 + m + 19*h**2 - 6*h**2 + 4*h + h**3. Give v(-5).
-14
Suppose -7*b = -3*b - 32. Let r(u) be the third derivative of -u**6/120 + 3*u**5/20 - u**4/3 + 2*u**3/3 + 395*u**2. Calculate r(b).
4
Let f(s) = 6*s + 50. Suppose -59*u - 480 = 51. Determine f(u).
-4
Let j(b) = b - 8. Let h(f) = 2*f**3 + 12*f**2 + 11*f + 68. Let o be h(-6). What is j(o)?
-6
Let i(m) = 5*m**3 - 5*m**2 - 7*m + 3. Let f(d) = -3*d**3 + 2*d**2 + 4*d - 1. Let t(b) = -7*f(b) - 4*i(b). Let s = -41 - -35. What is t(s)?
-5
Let l(z) = -3*z - 7. Suppose 12*n + 95 = -7*n. Determine l(n).
8
Let m(t) = -4*t - 8. Let u(l) = -4*l - 9. Let h(i) = 2*m(i) - 3*u(i). Determine h(8).
43
Suppose -14 = d + 4*o, 4*d - 3*o = 2*o + 28. Let w(m) = 200*m - 200*m + 4*m**d. Suppose -f + 1 = -2*u, -2*u = u - 4*f - 1. Determine w(u).
4
Suppose 431*w - 4*s = 432*w + 26, -2*w - 3*s - 27 = 0. Let j(o) be the second derivative of o**5/20 + 5*o**4/12 - 4*o**3/3 - 2*o**2 + o. Calculate j(w).
8
Let z(p) be the first derivative of 1 + 0*p + 1/3*p**3 + 2*p**2. Suppose 3*l - 5*l - 8 = 0. Give z(l).
0
Let d(v) = 38 + 61 + 3*v - v**2 - 96. Calculate d(3).
3
Suppose 5*h = -20 - 20. Let o(f) = 10*f - 20 + 0*f**2 + 21 + f**2 + 9. Calculate o(h).
-6
Let f(h) = 2*h**3 - h**2 + 1. Let m = -4 - -3. Determine f(m).
-2
Let r(s) be the third derivative of 1/2*s**3 + 0 + 7*s**2 + 0*s - 1/24*s**4. Determine r(9).
-6
Let o(f) = -f**3 - 7*f**2 - 4*f + 7. Suppose -80 = 5*v + 90. Let b = -40 - v. Calculate o(b).
-5
Let c(z) = 18 + 2*z + 21 - 40. Suppose -8*g + 20 = -3*g. Suppose -g*t = -9*t + 10. What is c(t)?
3
Suppose 9 = -9*k - 0. Let z(a) = 30*a**2 + 1. Calculate z(k).
31
Let y(f) = 4*f + 123 - 59 - 63. What is y(2)?
9
Suppose 8*l = 7*l - 6. Let i(o) = -o - o**3 - 6*o**2 + 3 - 1 - 12 + 2. Give i(l).
-2
Let l(p) = -p - 5. Let w = -56 - -60. Give l(w).
-9
Let d(q) = 9*q**3 - q**2 - q. Let v = -186 + 185. Determine d(v).
-9
Let s(h) = -h**3 - 15*h**2 + 18*h + 10. Let w = 1033 + -1049. Determine s(w).
-22
Let d(t) = 2*t - 2. Let z be (42/(-70))/(2/(-30)). Suppose 4*s + 3 = 3*y - z, 5*y - 5*s = 20. Calculate d(y).
6
Let z(k) = k**3 - 3*k**2 + 4*k - 5. Let o be 11 + -7 + 2 + -4. Calculate z(o).
-1
Suppose -5*q + l + 49 = 0, -5*q + 34 = -4*l - 27. Let j(w) = 4*w**2 + 6*w**2 - q*w**2 - w + 2. Determine j(2).
4
Let s(a) = -2*a - 2. Let i(y) = -y**2 - 5*y - 5. Let k(r) = 3*i(r) - 8*s(r). Let t = 3 + -1. Calculate k(t).
-9
Suppose 0 = 16*i + 106 - 250. Suppose -1 - 14 = 5*v - 2*x, -i = 3*v + 3*x. Let w(u) = u**3 + 3*u**2 + 2*u - 2. Give w(v).
-8
Let k(j) = -j**3 - 2*j**2 + 2. Let h be k(-2). Let z(s) = -s**3 - 7*s + s + 13*s**h + 20 - 17 - 7*s**2. Calculate z(5).
-2
Let y(r) = -6*r + 11. Suppose 4*w + 3*v = 1, -2*v = -w - 4*w - 16. Let z(u) = -u + 1. Let b(x) = w*y(x) + 14*z(x). What is b(-6)?
4
Let d(l) = -1. Let q(m) be the first derivative of m**2/2 - 16*m + 6. Let f(w) = -5*d(w) + q(w). Let p = -10 + 10. Give f(p).
-11
Let o(l) = -6*l - 8. Let s(v) be the first derivative of v**3/3 - 5*v**2/2 - 7*v - 10. Let m(w) = 6*o(w) - 7*s(w). Give m(1).
-7
Let y(k) be the second derivative of -k**6/120 + 7*k**5/60 - k**4/6 - 4*k**3/3 + k**2/2 - 13*k. Let v(l) be the first derivative of y(l). Calculate v(6).
4
Let k(t) = t + 3. Let r(f) = 2*f**3 + f**2 + 2*f + 3. Let p be r(-2). Calculate k(p).
-10
Let h(x) be the first derivative of x**5/20 + x**4/2 + x**3/2 + 8*x + 3. Let w(r) be the first derivative of h(r). Calculate w(-4).
20
Let j(x) = -x**3. Let l be j(0). Suppose 3*y = -l*y - 9. Let k(o) = -o**2 - 5*o - 2. Calculate k(y).
4
Suppose -d + 4*d - 29 = 4*g, -g = -2*d + 16. Let l(f) = -f**2 + 6*f + 6. Determine l(d).
-1
Let p be 34/(-6) + -2 + (-48)/(-18). Let c(l) = l**3 + 6*l**2 + 3*l - 7. Determine c(p).
3
Let a = -263 - -257. Let u(c) = c + 6. Calculate u(a).
0
Let z(y) = -3*y - 17. Suppose 87*r + 208 + 923 = 0. What is z(r)?
22
Let k(s) be the first derivative of -s**4/4 - 2*s**3 - 3*s**2 - 7*s - 3. Suppose 0 = 6*g + 7 + 23. Calculate k(g).
-2
Let b(u) = -u**2 + 7*u - 7. Let l be (-27)/(-5) - 3/(-5). Let m be b(l). Let y(z) = -2*z**2 + 1. What is y(m)?
-1
Let b(f) be the first derivative of 7*f**3/3 - f**2 - f - 6. Suppose 0 = 5*u + 26 - 141. Suppose -t + 6*x - 26 = x, 0 = 3*t - 4*x + u. Determine b(t).
8
Let j be ((-4 + (-4)/(-1))/2)/(-1). Suppose -10 = -3*t + t - 3*z, -4*z + 18 = 5*t. Let i(y) = -5 - y**2 + 2*y**2 + 0*y**t. Give i(j).
-5
Let v(x) = 3*x - 2. Let a be v(2). Let q(s) = 6*s + 5. Let c(j) = -8*j - 5. Let n(p) = -4*c(p) - 5*q(p). Give n(a).
3
Let m be 1/(5*1 - 98/21). Let r(h) = -h**2 - 2*h - 3. Calculate r(m).
-18
Let l = 13 - 11. Let q(f) = 10*f + 703*f**2 - 9 - 2*f - 704*f**l. Calculate q(7).
-2
Let i(j) be the first derivative of -j**2/2 - 4*j - 298. Let y(h | {
"pile_set_name": "DM Mathematics"
} |
f**0*f)/f*f))**(-2/9)) assuming f is positive.
f**(-7801/585)
Simplify ((((c**12*c)/c)/c**(4/5)*c*c**(3/8)*c/(c/((c/((c/(c/c**10))/c))/c)))**37)**24 assuming c is positive.
c**(15873/5)
Simplify ((a/a**10*a*a**12)**(-5))**(2/39) assuming a is positive.
a**(-40/39)
Simplify h**(2/15)*h*((h/(h*(h**17/h)/h)*h)/h)/h*h*h*h*h*h*h*(h*(h/h**(-9))/h)/h*h*h*h/h**(-7) assuming h is positive.
h**(152/15)
Simplify (a**(2/5)*a/a**35)/(a/(a*a/(a/a**46)*a*a*a)*(a*a**(8/5)*a*a)/a) assuming a is positive.
a**(59/5)
Simplify ((u**6)**42*(u**(-2/9))**(-16))**(1/52) assuming u is positive.
u**(575/117)
Simplify (v**0/v**1*v/(v/(v**(2/13)*v))*v**(3/2))/((v/v**(-1))**14*(v/v**0)**(2/13)) assuming v is positive.
v**(-53/2)
Simplify (o/(o*o**(-2)/o))/(o*o/(o/o**2))*(o/(o**(1/2)/o))**(7/3)*((o/(o/(o*o*o**8*o)))/o**(3/7))**13 assuming o is positive.
o**(1973/14)
Simplify (b**(-11)/b*b**(-11))**43/((b**(2/5))**(-3/31)*((b/(b/(b/(b*b**(-3/2)/b*b))))/b)/b**(-1)) assuming b is positive.
b**(-307043/310)
Simplify ((d/d**4)/(d/(d/(d*(d/d**(-2/5))/d*d)*d)))**(3/10)/(((d/d**(-2/9))/d**(-2))/(d**(-2)/((d*d**(6/5)*d*d)/d))) assuming d is positive.
d**(-2192/225)
Simplify ((m**(-7)*m)**(-3)*m**(-27/5)/m*(m*m/(m*m*m**8*m))/m)**32 assuming m is positive.
m**(256/5)
Simplify ((b**(-35)*b**(-8))/(b/(b/(b/(b/(b/(b**(-10/13)/b))))))**(-3/19))**31 assuming b is positive.
b**(-325903/247)
Simplify (b*b**15)**(1/69)/(b*b*(b/b**(-4)*b)/b)**(-18) assuming b is positive.
b**(8710/69)
Simplify (m/(m**(8/7)/m*m*m)*m**(-2/27))**(3/5)/((m*m**(-1/4)*(m/(m/(m*m*m/m**4)))/m*m)/((m*m**(1/6)/m)/(m/(m/(m*m**(1/8)))))) assuming m is positive.
m**(-725/504)
Simplify ((((m/m**6)/m**(-1/10))**18)**50)**47 assuming m is positive.
m**(-207270)
Simplify (p**13*p**(-2/55)*p**(-5)/p**(6/5))**26 assuming p is positive.
p**(9672/55)
Simplify (h**(-19/5)*h**(-9/4)*h)/(h**41/(h**(6/29)*h)) assuming h is positive.
h**(-26009/580)
Simplify ((f**(2/11)/f*f*f**(5/4)*f)/(f/(f/f**(-3/10)))**(-3/14))**(-7) assuming f is positive.
f**(-1823/110)
Simplify (h/(h*h*h**11)*h*h/(h/(h/h**(11/2))))**(-1/7)/((h**(-1/2))**(-2/17)/((h*h**1*h)/h**(2/23))) assuming h is positive.
h**(27745/5474)
Simplify ((s/(((s**(1/5)/s)/s)/s))**(2/15))**(-34)*(s**(1/2)/(s*(s**(-1)/s)/s))/((s*s**(-1/6))/((s*s/s**(-1/4))/s)) assuming s is positive.
s**(-1431/100)
Simplify (w**(-1))**17/((w/(w/(w/w**(-4))))/w**4)*(w*w*w*w*w/w**(-2/5)*w)**(2/135)*(w**(-9)*w)/w*w**(-7)/w assuming w is positive.
w**(-23561/675)
Simplify ((v**15*v*v/(v*v**(1/22)*v))**0)**(-3) assuming v is positive.
1
Simplify (((g**16/g)/(g/((g*g*g/g**(-1/4))/g)))/(g**(1/3))**(-4/7))**(-4) assuming g is positive.
g**(-1381/21)
Simplify ((a**(2/7)*a)/a*a*a*a**(-4)*a**(1/3)/a**(-8))/(a*a**(-7)*a/(a/(a*a**(1/8))*a*a))**(-27/5) assuming a is positive.
a**(-5125/168)
Simplify (((w*w**7)/w*w)/(w**(2/5)/w))/(w/(w/(w*w*w*(w/w**1)/w*w)))**(44/5)*(w*(w/w**(2/9))/w)**(-2/97)/(w/w**(4/9)*w**(-2/19)) assuming w is positive.
w**(-1514918/82935)
Simplify ((((y/(((y/y**(2/21))/y)/y))/y)/y)/(y**17*y*y))/((y/(y**26*y))/y**(-13)) assuming y is positive.
y**(-124/21)
Simplify ((f*f*f**(1/2))**(-35)*(f**1/f)**(-3/35))/((f**2)**(-15)*(f/f**(-2))**(-40)) assuming f is positive.
f**(125/2)
Simplify (((y/y**(-1/5))**(2/33)*y**(1/19)*y*y*y/(y/y**(-4/9)))**(1/13))**(-47) assuming y is positive.
y**(-743023/122265)
Simplify (i**(2/3)*i*i*((i/i**(7/4))/i)/i)**(-46)*(i/(i**(-3/8)*i)*((i*i*i/(((i*i**(1/2))/i)/i*i))/i)/i)**6 assuming i is positive.
i**(109/12)
Simplify (c**(-5)/c*c*c*c/c**9*c)**(-3/8)/((c*c**(-8)/c)/((c*c**(2/3)*c)/c)*(c**(2/9))**11) assuming c is positive.
c**(817/72)
Simplify (f**0/f)/(f*f**9)*(f**2)**(-26/7)*(f**(-2))**(-9)*((f*f**(-2/9))/f*f)**(-1/23) assuming f is positive.
f**(-670/1449)
Simplify ((q*q**(-6/7)*q**(-14)/q*q)/((q/(q/(q**(-20)/q)))/(q/(q*(q*q*q**8)/q))))**(-28/3) assuming q is positive.
q**(52/3)
Simplify ((v**(-14)/v**3)/((v**(-6/19)/v)/v**(1/9)))**18 assuming v is positive.
v**(-5326/19)
Simplify (((((q*q/(q*q**(-14)))/q)/(q/q**(-4)))/(q**(2/7)/q)**(-34))**(-4))**(-1/15) assuming q is positive.
q**(-428/105)
Simplify (w**(2/9)*w**(-2/9)*(w*w*w**(-1/4)/w*w)/(w/(w/(w*w*w**0))))/((((w**(-3/2)*w)/w)/w)/(w*w*w**(3/4)*w))**41 assuming w is positive.
w**256
Simplify (((d/(d*d**(-1)))**(-2/51)*(d**(-1))**(-15/7))**(-49))**(-4/21) assuming d is positive.
d**(3004/153)
Simplify (((c*c*c**(1/3))/c*c)**(-2/9)/(c*c*c*c**(-2/3))**(-5/11))/((c**(1/4))**46/(c/c**(-1))**(-29/5)) assuming c is positive.
c**(-66997/2970)
Simplify s**2*s**(2/7)*s**8*s**5*((s**(-3/4)*s*s*s)/(s/s**(-4/9)))/(s**(-7)*s*s**(2/3)) assuming s is positive.
s**(5399/252)
Simplify ((z**(-1/5))**(-32)*((z*z*z**5*z)/z)**(-19))**(-9/7) assuming z is positive.
z**(5697/35)
Simplify (((j*j/(j/((j**0/j)/j)))/j*j)**(-8/11)/(j**(-2/7))**(-33))/(j**(-1/4)*j**(1/12))**(-3/14) assuming j is positive.
j**(-2691/308)
Simplify ((v/v**(-9)*v)/v*v**(12/5)*v*(v*v**(-4)/v*v)/(v**16/v*v*v))**(-17) assuming v is positive.
v**(561/5)
Simplify ((a**(-3/17))**(1/28)/(a**1)**(14/9))**(15/2) assuming a is positive.
a**(-33455/2856)
Simplify ((o/((o**(-20)*o)/o))/o**6)/(o**(1/56)/o*o*o**20) assuming o is positive.
o**(-281/56)
Simplify ((y**0)**(-4/5)*(y**(-1/4))**34)/((y*y**(2/7)/y*y/(y*y*y**(-1)))/(((y*y/(y*y*(y/y**(1/2))/y*y)*y)/y)/y*y**5)) assuming y is positive.
y**(-37/7)
Simplify ((h**(2/13)*h)**(-13/4))**(-2/91)*((h**(2/11))**(-36))**(-17/4) assuming h is positive.
h**(55857/2002)
Simplify ((n**(-9)*n*n)/(n/n**(-3)))**(-3)/((n**(-5/2)/n*n/(n*n**(-3/4)))/((n/(n**6/n))/(n*n/(n**(2/11)*n)*n))) assuming n is positive.
n**(1317/44)
Simplify (s**(1/19))**(33/5)*(s**(-11/5)*s)/((s*s**(-8))/s) assuming s is positive.
s**(679/95)
Simplify (z**(-4)/z*z*z**(2/3))/(z**6/(z**(-6)*z*z))*(z**0*z)**(-29)/(z*z**(-1/5)*z*z**6) assuming z is positive.
z**(-752/15)
Simplify (((b**3*b)**39/(b/(b/((b**(-1/2)/b)/b)))**(4/29))**21)**(-1/13) assuming b is positive.
b**(-95214/377)
Simplify ((k**12/k**(-6/17))/(k**(8/3))**(-5/2))**(-5/7) assuming k is positive.
k**(-4850/357)
Simplify (q*q/(q**(2/33)*q)*q*q)/q*q/(q*q/((q*q**(-13/2))/q))*q**(-16)*q*q**(-21) assuming q is positive.
q**(-2743/66)
Simplify ((g/(g/g**7))**(2/107)/(g**12/(g*g**(-2/7))))**0 assuming g is positive.
1
Simplify (h/(h*h/h**(-2/7)*h*h))**(1/43)/((h/(h/(h*h**(-9)))*h)/h**(2/5))*((h/(h**1*h)*h)/h)**34/((h/(h/h**0)*h)/(h**(1/2)*h)) assuming h is positive.
h**(-78791/3010)
Simplify p**(2/3)*p*(p*p**(-6)/p*p)/p*p*((p*p**6)/p)/p*p*p/(p/(p/((p*p**(-6)*p)/p)))*p*p*(p**1)**(-44)*(p/p**3)/p*(p/(p**(-5/4)/p))/p assuming p is positive.
p**(-409/12)
Simplify (l**19/(l/l**(2/25)))/(((l*l*l**20)/l)/l*l*l/(l*l**0)) assuming l is positive.
l**(-73/25)
Simplify ((v*v**10*v*v*v*v**13)/(v**3)**(-46))**(1/15) assuming v is positive.
v**11
Simplify ((q**(1/3))**(-5)*((q*q*q/(q/(q*q**(-1/10)*q))*q)/q*q)/((q/((q/(q/q**6)*q)/q)*q)/q))/((q*q**(-3))**(-44/3))**(-34) assuming q is positive.
q**(30167/30)
Simplify (y**(2/5)/(y*y*y*y**(-2/9)*y))/((y*(y**4/y)/y)/(y*y/y**(3/2)))*y**7*y**(1/7)*(y**(-2/7))**(-24) assuming y is positive.
y**(731/90)
Simplify (c**(1/2))**(-10/3)*c**(-1/3)/c*c**(-2/7)*(c/(c/(c**1*c)))**39*((c**1/c)/c*c)/c**(-2) assuming c is positive.
c**(537/7)
Simplify ((u**4)**(7/5)*(u/(((((u*u/((u**(1/3)/u)/u))/u)/u)/u)/u))/u**(-20))**(-2/25) assuming u is positive.
u**(-808/375)
Simplify (((j/((j*j/j**7)/j))/j)/(j*j**(-1))*(j**(-1/8)/j)/((j**(-3)/j)/j))/((j*j**2)**(11/4)*j**8/((j*j**(2/9))/j)) assuming j is positive.
j**(-443/72)
Simplify ((d/d**(-3))/d*d*d/(d*d**8*d)*d)**(-23)/((d/(d**(-2/9)*d*d)*d)/(d/(d*d**(-2/15)*d))*(d*d*d*d*d*d**(-1/4)*d)**8) assuming d is positive.
d**(2021/45)
Simplify ((m*m**3)/m*m*m**(-7)*m**3*m*m*m**9*m)/(m/(m**1*m)*m*m**(1/3)*m*(m*m**(3/5))/((m*m**(-1/5)*m)/m)) assuming m is positive.
m**(148/15)
Simplify (k/((k*k**(-1)*k)/k))**14*k**5/(k/(k*k/k**(-1)))*((((k**(-2/7)*k)/k)/k)/k**(-1/5))**(-13) assuming k is positive.
k**(1229/35)
Simplify (r**(-1/5))**(3/10)/(r/r**0*r*(r/r**(-6))/r)*(r*r*r*r/(r*r/(r*r**(-2)*r*r)*r)*r)**(-15/4)/((r/(r*r*r**(-3/7)))/r**(4/3)) assuming r is positive.
r**(-36551/2100)
Simplify (k**34)**(23/5)/(k**(7/11)*k**45) assuming k is positive.
k**(6092/55)
Simplify (((t**(-6)*t)/(t/(t**(1/3)/t))*t**(1/9)*t**4)**(2/89))**2 assuming t is positive.
t**(-92/801)
S | {
"pile_set_name": "DM Mathematics"
} |
3*m + 2. Put m, b, 3 in decreasing order.
3, b, m
Let a be 2/9 - (-2874)/(-38610). Let n = 3/1945 + -488/64185. Let l = a - n. Put 0, l, 2 in descending order.
2, l, 0
Let k = 70.2 - 70. Let n = -4.6 - -0.6. Sort -2/5, n, k in descending order.
k, -2/5, n
Let w = -11 + 13. Put -3, 3, w, 2/5 in descending order.
3, w, 2/5, -3
Let n = -21 - -43/2. Sort n, 0.2, -0.1, 2/11 in descending order.
n, 0.2, 2/11, -0.1
Let q = -3.03 + 0.03. Suppose 2*g - v + 9 + 18 = 0, 0 = -g - v - 9. Let n be (-3)/(-2)*(-16)/g. Sort q, -2/3, n in descending order.
n, -2/3, q
Let p = -69 - -89. Sort -1, p, 3 in descending order.
p, 3, -1
Let i be ((-5)/(-2))/((-3)/12). Let y = i - -12. Put 0, -4, y in increasing order.
-4, 0, y
Suppose 0 = x + 70 - 70. Let r be (-14)/(-4) - 2/(-4). Sort r, x, 3.
x, 3, r
Let o be (-234)/(-12)*4/6. Suppose -5*j + 3*r = o, -3*j = 4*r + 1 + 1. Let u be j + 4 - (-14)/(-5). Sort -0.2, 3, u in increasing order.
u, -0.2, 3
Let r = -28 + 31. Suppose 0 = -3*z + 3*p - 12, 3*p - 24 = 4*z - 8. Put r, 5, z in descending order.
5, r, z
Suppose -5 = 5*i + 3*p - 5*p, -i - 28 = 5*p. Suppose 3*l + 7 + 7 = 2*n, 4*l - 4*n = -20. Sort i, l, -1.
l, i, -1
Let n be 1 - (15/5 - -6). Sort n, 2, 3 in descending order.
3, 2, n
Suppose -3*a - 16 + 4 = 0. Suppose 0*q + 8 = 2*q. Sort 2, q, a.
a, 2, q
Let r = -20 - -9. Let x = r + 8. Suppose 2*o = 5*u + 1 - 15, o + 4*u - 19 = 0. Sort -4, o, x.
-4, x, o
Let g = -2 - -2. Let v be g - ((-36)/(-15) - 2). Put 2, v, -4 in descending order.
2, v, -4
Let f = 13 + -15. Let d = 5.4 - 5. Sort f, 2, d.
f, d, 2
Let l = -12 - -11.88. Let u = l + -2.88. Sort -2, 1/4, u.
u, -2, 1/4
Let f = -0.12 + -4.88. Sort f, -0.09, 2, -1.
f, -1, -0.09, 2
Let s = 7 + -7.4. Sort -1/4, 1/2, s in decreasing order.
1/2, -1/4, s
Let x = 8 - 8.9. Let i = x + 1. Let h = i + 0.1. Put -1, -2, h in descending order.
h, -1, -2
Let u = -289/66 + 50/11. Let y = 2.96 - -0.04. Put u, y, -1/7 in descending order.
y, u, -1/7
Let i be -10*5/((-100)/(-16)). Let p(q) = -q + 2. Let f be p(-4). Let m = i + f. Sort -4, -5, m in increasing order.
-5, -4, m
Let w be ((-2 - -2)/2)/(-2) - 2. Put -4, 2/9, w, -0.5 in descending order.
2/9, -0.5, w, -4
Let u = -26 + 21. Suppose 4 = -2*g + t + 2, -4*g - 4 = 5*t. Suppose -3*w + p - 3 = -0*w, 2*p - 6 = -4*w. Put u, g, w in increasing order.
u, g, w
Let u(x) = -x**3 + 11*x**2 - 9*x - 6. Suppose 50 = -2*h + 7*h. Let f be u(h). Sort -3, -4, f in descending order.
f, -3, -4
Let i(f) = -f + 3. Let c be 0/(-5 - 8/(-4)). Let m be i(c). Put m, -3/8, 4 in descending order.
4, m, -3/8
Suppose k = 3*k - 2. Sort -0.4, -0.2, k.
-0.4, -0.2, k
Let m = 12 - 0. Let u = 11.5 - m. Sort -5, 5, u in decreasing order.
5, u, -5
Suppose 0 = -2*p + 3*r + 15, 2*p + 2*r = -p - 10. Let b = p - 1. Let s be 0 + (-6)/3 - -6. Sort b, -2, s.
-2, b, s
Let c(g) = g + 12. Let o be c(-6). Suppose -3*k = -2*l - o*k - 1, -3 = l + 4*k. Sort 3, -3, l in decreasing order.
3, l, -3
Suppose -51 = -5*n - 11. Suppose 9*f = n*f + 3. Put 4, f, 0 in decreasing order.
4, f, 0
Suppose -2*t + 1 = -1. Suppose 0 = 42*m - 36*m. Sort t, m, 5 in descending order.
5, t, m
Suppose 3*w = -0*w. Suppose -p - 1 - 5 = w. Put p, -3, -4 in ascending order.
p, -4, -3
Let m(i) = i. Let a be m(1). Suppose 0 = 5*l - a + 6. Sort l, 2, -3 in descending order.
2, l, -3
Let s(o) = o**2 - 9*o - 2. Let c be s(9). Sort -4, -1, c, -3 in descending order.
-1, c, -3, -4
Let q = 1 - 0. Put 6, q, -4 in descending order.
6, q, -4
Let r be 1 - (1 + -1) - 1. Suppose -2*y + 1 = -3*y. Let o be (r/(-2))/(y + -1). Put -5, o, -3 in ascending order.
-5, -3, o
Let n = -16 - -20. Sort n, 3, -1 in increasing order.
-1, 3, n
Let z = 1.909 - -0.091. Sort 5, -1.4, z.
-1.4, z, 5
Suppose -12 = 6*r - 2*r. Let u be 10/(-8) + (-10)/(-4). Sort 5, r, u.
r, u, 5
Let d = 93 + -91. Put d, -1, -2 in decreasing order.
d, -1, -2
Let z be 9/(-8)*(-12)/(-9). Let g = 31/22 + -10/11. Sort z, g, -0.4.
z, -0.4, g
Let i be 2/(-4)*0/5. Sort i, 4, 5 in decreasing order.
5, 4, i
Let y = 11 - 8. Let t(g) = -g - 4. Let q be t(-2). Let w = 21.1 + -21. Put q, y, w in descending order.
y, w, q
Let u be (-66)/(-12)*(-1 + -1). Let p = u + 53/5. Sort p, 1/4, 0 in ascending order.
p, 0, 1/4
Let u = -1343/66 - -121/6. Sort -1, u, 0.6.
-1, u, 0.6
Suppose 0 = j - 2*t - 3 + 7, 0 = 5*j + 5*t - 40. Suppose 10 = j*h + 2. Sort h, 5, 4 in ascending order.
h, 4, 5
Let v be 1 + 0/(-2) - -3. Sort v, -1, 0 in increasing order.
-1, 0, v
Let h be (1 + -4)/(1 - -4). Let s be -7 - -11 - (-55)/(-15). Sort h, 0.4, s in decreasing order.
0.4, s, h
Suppose -12 = 4*n - 28. Suppose 3*o + 4 + n = 5*a, -3*a = -5*o + 8. Let h = -0.09 + 5.09. Put 2/11, h, o in descending order.
h, o, 2/11
Let k = 0.13 - 0.53. Sort 3/7, -5, k in ascending order.
-5, k, 3/7
Suppose 0 = y - 2*y. Let n = 3.04 + -0.04. Put n, y, 1 in decreasing order.
n, 1, y
Suppose -6*v - 11 = 19. Sort 5, v, -29, -1 in increasing order.
-29, v, -1, 5
Let h = 74 - 73. Sort -8, -3, h, 0 in decreasing order.
h, 0, -3, -8
Let i = -7 - 1. Let j = i + 5. Let c(x) = -x**2 + 4*x - 4. Let u be c(4). Put j, 3, u in decreasing order.
3, j, u
Let c = 21 + -21. Let w be 2/2*1 - 1. Suppose w*y + 2*y = 10. Put c, 4, y in increasing order.
c, 4, y
Let f = 6 - 5. Let c = 1.5 - f. Let y = 3.2 + 0.8. Sort 0.2, y, c in decreasing order.
y, c, 0.2
Let v(q) = 2*q**2 + 3*q - 1. Let b be v(1). Sort -1, b, 1 in decreasing order.
b, 1, -1
Let z be 3/6 + 5/(-2). Let t(a) = a - 7. Let b be t(3). Put z, -5, b in ascending order.
-5, b, z
Let y = 27 - 31. Sort -4/5, y, -0.5 in descending order.
-0.5, -4/5, y
Let h(w) be the third derivative of -w**4/24 + 3*w**3/2 - 4*w**2. Let z be h(5). Let t = 1 - -1. Put t, z, -2 in descending order.
z, t, -2
Let j(p) = p**2 - 7*p + 4. Let f be j(5). Let w = -31 + 15. Let b be 4/w*(-3)/f. Put -3, b, -4 in decreasing order.
b, -3, -4
Let f = -0.4 - -0.6. Let y = -3.2 + f. Let i = y - -3.1. Sort -0.5, 4, i in decreasing order.
4, i, -0.5
Let y(h) = -h**3 + 6*h**2 - 2*h + 17. Let t be y(6). Sort t, 0, 7, -1 in ascending order.
-1, 0, t, 7
Let q be 10/((-25)/(-5)) + 0. Let p be 0/(4*2/4). Put q, 5, p in decreasing order.
5, q, p
Let w = 2296/17 - 157693/1173. Let l = 24/23 + w. Let h = 0.2 + 0.3. Sort l, -3, h in decreasing order.
l, h, -3
Let q(v) = -v + v**2 + 3*v - 3*v + 0*v**3 + 3 - v**3. Let w be q(0). Let n be ((-3)/8)/(6/4). Sort 1, n, w in decreasing order.
w, 1, n
Suppose 0 = 5*q - 10 - 0. Let m be 8/28 + 30/(-7). Put 4, q, m in decreasing order.
4, q, m
Let r = 3.6 - 7.8. Let v = r + 4. Let p = 0.3 - v. Sort 1, -0.1, p in descending order.
1, p, -0.1
Let y = -7.8 + -4.2. Put 1, -0.4, y in ascending order.
y, -0.4, 1
Let u be 15/(-9) + (-6 - -9). Put -0.17, u, -2 in ascending order.
-2, -0.17, u
Suppose -7*f = -12*f. Sort -1/11, -4, 2/3, f in descending order.
2/3, f, -1/11, -4
Let f(y) = -2*y + 2. Let i be f(-5). Suppose 2*o - i = 6*o. Let l be 0 + 1 - (-2 - 1). Put o, -4, l in decreasing order.
l, o, -4
Let m(z) = z**3 - 7*z**2 - 8*z + 2. Let v be m(8). Suppose v*f + 3 = -3. Sort -1, -2, f.
f, -2, -1
Let d be (-3)/2 - (-1)/(-2). Let p = d - -1. Sort p, 2, 0 in increasing order.
p, 0, 2
Let p = -12 - -12. Suppose 2*u = -5*k + u + 5, p = 4*k - 5*u - 33. Put 4, k, 1 in ascending order.
1, k, 4
Let j = -0.122 - -0.022. Sort 2, 7, -1/4, j in decreasing order.
7, 2, j, -1/4
Let p = -147 - -114. Sort -3, p, 3 in increasing order.
p, -3, 3
Suppose 0 = -3*t + 8*t + 20. Let u be (0/(-2))/(-3 - t). Sort u, 0.4, -1/3 in descending order.
0.4, u, -1/3
Suppose 2 = -4*r + 2. Suppose -4*f + 37 = 2*w - 3*f, 0 = -4*w + f + 83. Suppose 0 = 3*z, 7*y = 3*y + 4*z + w. Put 1, r, y in decreasing order.
y, 1, r
Let o = 6 + -9. Let q(z) = z**3 + 4*z**2 - 7*z - 4. Let t be q(-5). Let a be (t/12)/(10/4). Put a, o, 3 in decreasing order.
3, a, o
Let f be (-3)/6 + (-1)/(-2). Let y be ((-18)/3)/(-6)*-5. Sort y, f, -2 in decreasing order.
f, -2, y
Suppose -4*h + 3*z + 3 - 14 = 0, 20 = 4*z. Suppose -5*p = -5*i + 120, 127 = 5*i - 3*p + 7. Let s be -2*(-4)/(i/(-9)). Sort h, s, -5 in ascending order.
-5, s, h
Let w = 7 - 7. Let z = 5 + w. Sort -1, 1, z in decreasing order.
z, 1, -1
Let b be (-3)/(-4) + 49935/156. Let d = b + -321. Sort -4, d, 0.1 in decreasing order.
0.1, d, -4
Suppose 7 = 7*y - 21. Let u(j) = j**3 - 3*j**2 + 2*j. Let f | {
"pile_set_name": "DM Mathematics"
} |
- 145)**2*(d + 48)/4
Factor -w**2/3 - 79219*w/3.
-w*(w + 79219)/3
What is f in -3*f**2 - 251040*f + 502092 = 0?
-83682, 2
Factor p**3/3 + 4405*p**2/3 + 1617736*p + 1616268.
(p + 1)*(p + 2202)**2/3
Factor 2*g**2 - 2916*g + 14530.
2*(g - 1453)*(g - 5)
Determine c, given that -144*c**2/5 - 22200*c - 4278125 = 0.
-4625/12
Factor 197*i**3 + 1180*i**2 + 1564*i - 16.
(i + 2)*(i + 4)*(197*i - 2)
Factor -22*d**2/5 - 24641*d/5 + 9874.
-(d - 2)*(22*d + 24685)/5
Factor 5*f**3/3 + 28665*f**2 + 114640*f + 343900/3.
5*(f + 2)**2*(f + 17195)/3
What is u in -u**3/3 + 11092*u**2/3 - 31229525*u/3 + 2604338774/3 = 0?
86, 5503
Factor -d**2/5 - 10782*d/5 + 17264.
-(d - 8)*(d + 10790)/5
Factor h**4 - 481*h**3 + 58557*h**2 - 172319*h + 114242.
(h - 239)**2*(h - 2)*(h - 1)
Factor l**3 - 1000*l**2 + 23468*l - 42944.
(l - 976)*(l - 22)*(l - 2)
Suppose -5*z**4/4 + 550945*z**3/2 - 60710282345*z**2/4 + 60706976715*z - 60705874845 = 0. What is z?
2, 110187
Determine j, given that -2*j**2 + 918*j - 47200 = 0.
59, 400
Factor -2*d**2/9 + 139772*d/9 + 139774/9.
-2*(d - 69887)*(d + 1)/9
Factor -987*x**3 - 195420*x**2 - 9672399*x + 58806.
-3*(x + 99)**2*(329*x - 2)
Find v such that -4*v**4/9 + 152*v**3/9 + 832*v**2/3 - 6040*v - 6300 = 0.
-21, -1, 15, 45
Factor -2*p**2/3 + 676628*p - 171684543894.
-2*(p - 507471)**2/3
Factor 2*m**4 + 546*m**3 - 2792*m**2 - 3336*m.
2*m*(m - 6)*(m + 1)*(m + 278)
Suppose y**4/3 + 194384*y**3/3 + 9446284864*y**2/3 = 0. Calculate y.
-97192, 0
Factor -4*o**2/5 + 7709296*o/5 - 3714577800976/5.
-4*(o - 963662)**2/5
Solve h**4/9 - 152896*h**3/9 + 2597482190*h**2/3 - 132385874675800*h/9 + 132378082382125/9 = 0.
1, 50965
Factor -j**2 - 90*j + 58491.
-(j - 201)*(j + 291)
Suppose 7*q**4/5 - 188*q**3/5 + 129*q**2 + 2252*q/5 + 308/5 = 0. Calculate q.
-2, -1/7, 7, 22
Determine z, given that 2*z**4/3 + 13132*z**3/3 + 13128*z**2 + 39380*z/3 + 13126/3 = 0.
-6563, -1
Factor c**4/6 + 5077*c**3/3 + 12882886*c**2/3 - 25786084*c/3.
c*(c - 2)*(c + 5078)**2/6
What is v in -4*v**2 - 1240*v + 19500 = 0?
-325, 15
Factor -2*l**2 + 2259*l + 1130.
-(l - 1130)*(2*l + 1)
Let -5*n**3/4 - 61575*n**2/4 + 15395*n = 0. What is n?
-12316, 0, 1
Factor 2*j**3/11 + 888*j**2/11 + 15498*j/11 + 69012/11.
2*(j + 9)**2*(j + 426)/11
Factor -4*r**2 - 2956*r + 5928.
-4*(r - 2)*(r + 741)
What is m in 3*m**3/7 + 22626*m**2/7 - 294519*m/7 + 135990 = 0?
-7555, 6, 7
Factor -2*c**2/5 + 4822*c + 24112/5.
-2*(c - 12056)*(c + 1)/5
Factor -16*a**4 - 9268*a**3 - 5354569*a**2/4 + 1007895*a - 189225.
-(a + 290)**2*(8*a - 3)**2/4
Factor 45*b**2 + 167095*b + 37130.
5*(b + 3713)*(9*b + 2)
Find p such that 2*p**4 - 1160*p**3 - 22620*p**2 - 85240*p + 109018 = 0.
-13, -7, 1, 599
Factor -5*u**2 + 267325*u - 267320.
-5*(u - 53464)*(u - 1)
Determine s, given that 469*s**5/2 - 933*s**4/4 - 2819*s**3/4 + 4675*s**2/4 - 1851*s/4 - 5/2 = 0.
-2, -5/938, 1
Factor 3*f**3 - 690*f**2 + 3951*f + 18144.
3*(f - 224)*(f - 9)*(f + 3)
Factor -15*h**2 - 22689*h/2 - 3402.
-3*(h + 756)*(10*h + 3)/2
Find l such that l**4/3 - 500*l**3/3 - 4662*l**2 - 42444*l - 128061 = 0.
-9, 527
Solve -4*o**4 + 316*o**3 + 2076*o**2 - 2844*o - 18360 = 0 for o.
-6, -3, 3, 85
Factor -2*r**3/9 + 1556*r**2/9 + 22666*r/3 + 80360.
-2*(r - 820)*(r + 21)**2/9
Suppose 247*j**5 - 2924*j**4/3 - 3869*j**3/3 - 184*j**2/3 + 20*j/3 = 0. Calculate j.
-1, -2/19, 0, 2/39, 5
Factor -3*w**2 - 10856490*w - 9821947926675.
-3*(w + 1809415)**2
Factor 4*q**4 - 18960*q**3.
4*q**3*(q - 4740)
Find s such that -4*s**4 - 3008*s**3 - 530856*s**2 + 61695648*s + 17469783756 = 0.
-303, 157
Factor r**2/2 + 1179*r/2 + 1764.
(r + 3)*(r + 1176)/2
Determine y so that -y**2/7 + 3698*y/7 + 164648/7 = 0.
-44, 3742
What is y in -4*y**4/7 - 8396*y**3/7 + 7212*y**2 - 75780*y/7 = 0?
-2105, 0, 3
Factor -r**4 + 265*r**3 + 1896*r**2 + 2192*r - 4352.
-(r - 272)*(r - 1)*(r + 4)**2
Let -3*y**3 - 1093611*y**2 - 99663777840*y + 299001176100 = 0. Calculate y.
-182270, 3
Suppose -65*x**2 - 18322*x + 2256 = 0. What is x?
-282, 8/65
What is v in -v**4/6 + 3860*v**3/3 + 2*v**2 - 46312*v/3 - 61760/3 = 0?
-2, 4, 7720
Determine r, given that 3*r**5 + 18*r**4 - 14646*r**3 + 130032*r**2 - 387909*r + 386694 = 0.
-77, 3, 62
What is o in 3*o**5 + 17915*o**4/2 + 6694607*o**3 + 24504609*o**2/2 + 6679684*o + 1113032 = 0?
-1492, -1, -1/2, -1/3
Factor -d**2 + 325*d - 324.
-(d - 324)*(d - 1)
Factor 10*d**3 + 12886*d**2 + 46244*d - 20560.
2*(d + 4)*(d + 1285)*(5*d - 2)
Find h such that 3*h**3 + 2944*h**2 - 22755*h - 7912 = 0.
-989, -1/3, 8
Suppose 4*v**2/5 + 5708*v/5 + 73528/5 = 0. Calculate v.
-1414, -13
Factor 33*k**2 + 7419*k + 13380.
3*(k + 223)*(11*k + 20)
Solve -2*w**5/15 + 80*w**4/3 + 482*w**3/5 - 132436*w**2/15 + 142984*w/3 + 56560 = 0.
-21, -1, 10, 202
Factor -y**2 + 1316834*y - 433512945889.
-(y - 658417)**2
Factor 4*h**3/9 + 62480*h**2/9 + 243984400*h/9.
4*h*(h + 7810)**2/9
Solve 5*f**4 - 4035*f**3 - 8365*f**2 + 221475*f + 809000 = 0.
-5, 8, 809
Factor -3*s**2/4 + 243*s/4 + 249/2.
-3*(s - 83)*(s + 2)/4
Factor -3*n**2 + 36*n - 33.
-3*(n - 11)*(n - 1)
Find w, given that 2*w**4/13 + 645076*w**3/13 + 645074*w**2/13 = 0.
-322537, -1, 0
What is i in -2*i**5/15 + 164*i**4/5 + 13456*i**3/15 + 8476*i**2/5 + 12466*i/15 = 0?
-23, -1, 0, 271
Let 209*l**4/7 + 693478*l**3/7 + 575279813*l**2/7 + 6289032*l - 1572732 = 0. Calculate l.
-1659, -2/11, 2/19
Find j, given that -2*j**3/11 - 558*j**2/11 - 4876*j/11 - 4320/11 = 0.
-270, -8, -1
Find n such that -n**4/6 + 53*n**3/3 - 483*n**2/2 + 120*n + 1350 = 0.
-2, 3, 15, 90
Let 7*m**4/3 + 2956*m**3/3 + 6731*m**2/3 + 4622*m/3 + 280 = 0. What is m?
-420, -1, -2/7
Determine i, given that i**2/4 - 73*i + 1104 = 0.
16, 276
Determine d so that 2*d**5/11 + 1204*d**4/11 - 12*d**3/11 - 7208*d**2/11 + 9626*d/11 - 3612/11 = 0.
-602, -3, 1
Factor -3*g**2 + 109662*g - 1002146187.
-3*(g - 18277)**2
What is z in z**3/2 + 506*z**2 - 2031*z/2 - 1521 = 0?
-1014, -1, 3
Let -36*i**5/5 - 4404*i**4/5 + 30632*i**3/5 - 42168*i**2/5 + 18556*i/5 - 516 = 0. Calculate i.
-129, 1/3, 1, 5
Factor 2*i**2/11 + 7452*i/11 + 14896/11.
2*(i + 2)*(i + 3724)/11
Suppose -2*k**3/7 - 974*k**2/7 - 2908*k/7 - 1936/7 = 0. What is k?
-484, -2, -1
Suppose 2*c**5 - 106*c**4/5 + 286*c**3/5 + 82*c**2/5 - 104*c - 40 = 0. Calculate c.
-1, -2/5, 2, 5
Factor -4*b**4 - 1272*b**3 + 21376*b**2.
-4*b**2*(b - 16)*(b + 334)
Find y such that 3*y**4 + 1731*y**3 - 169587*y**2 + 970461*y - 1432080 = 0.
-663, 3, 80
Factor 3*j**2 + 14703*j - 73590.
3*(j - 5)*(j + 4906)
Find o such that -2*o**4/13 - 4*o**3/13 + 186*o**2/13 + 540*o/13 = 0.
-9, -3, 0, 10
Factor 49*q**4 + 2770334*q**3 + 39156098629*q**2 - 22375591956*q + 3196545444.
(q + 28269)**2*(7*q - 2)**2
Find k, given that -k**5/6 + 49*k**4/6 - 196*k**3/3 - 2744*k**2/3 = 0.
-7, 0, 28
Suppose 26*w**5/7 - 992*w**4/7 + 1214*w**3 + 8076*w**2/7 - 1440*w/7 = 0. What is w?
-1, 0, 2/13, 15, 24
Factor -3*s**5/8 - 9*s**4/2 + 111*s**3/4 + 495*s**2/2 - 9075*s/8.
-3*s*(s - 5)**2*(s + 11)**2/8
Factor -2*c**2 + 29624*c + 59256.
-2*(c - 14814)*(c + 2)
Solve -5*r**2 + 3977440*r - 791001447680 = 0.
397744
Find q, given that 5*q**4/2 - 465*q**3 - 92115*q**2/2 - 586520*q + 14422200 = 0.
-43, 12, 260
Find n, given that -2*n**5 + 262*n**4 - 9270*n**3 + 48770*n**2 - 70768*n + 31008 = 0.
1, 4, 57, 68
Factor -w**2 - 236656*w - 14001515584.
-(w + 118328)**2
Solve -3*n**4/5 + 84*n**3 - 19836*n**2/5 + 65664*n - 580608/5 = 0.
2, 42, 48
Factor 9*b**3 + 28029*b**2 + 21827583*b + 7272747.
3*(b + 1557)**2*(3*b + 1)
Let 1327*a**3/3 + 5236*a**2/3 + 5020*a/3 - 96 = 0. Calculate a.
-2, 72/1327
Let 3*a**3/4 - 357*a**2/4 + 2877*a/2 - 1350 = 0. Calculate a.
1, 18, 100
What is i in i**3/2 - 40*i**2 - 421*i/2 - 170 = 0?
-4, -1, 85
Let 5*d**5/3 + 250*d**4/3 + 3860*d**3/3 + 23890*d**2/3 + 58775*d/3 + 38500/3 = 0. What is d?
-28, -11, -5, -1
Suppose -r**4 - 31*r**3/5 + 254*r**2/5 + 652*r/5 + 24 = 0. What is r?
-10, -2, -1/5, 6
Factor 4*j**4 - 2332*j**3 - 28560*j**2 - 1024*j + 609280.
4*(j - 595)*(j - 4)*(j + 8)**2
What is a in 4*a**2/3 - 344*a/3 + 224 = 0?
2, 84
Factor 2*i**4/3 - 1270*i**3/3 + 4984*i**2.
2*i**2*(i - 623)*(i - 12)/3
Factor -3*r**2/7 + 5787*r/7 + 11586/7.
-3*(r - 1931)*(r + 2)/7
Let -c**3 + 229*c**2 + 724*c - 6496 = 0. Calculate c.
-7, 4, 232
Determine h, given that 25*h**3 - 6405*h**2 + 38780*h - 7500 = 0.
1/5, 6, 250
Find f, | {
"pile_set_name": "DM Mathematics"
} |
43, -5, -2/7, -6?
-2
Which is the seventh smallest value? (a) -6 (b) 7 (c) 0.42 (d) 2 (e) -0.12 (f) -0.4 (g) 3
b
Which is the sixth biggest value? (a) -9 (b) 2/19 (c) 14 (d) -0.08273 (e) -5 (f) 2/3
a
Which is the second biggest value? (a) -0.3 (b) 130 (c) 1/16 (d) 3 (e) 2/45 (f) -2/3 (g) 4/3
d
What is the second smallest value in 0.5, -1/13, -0.19056?
-1/13
Which is the smallest value? (a) 2 (b) 0.2 (c) -10384 (d) -29
c
Which is the smallest value? (a) -3.3 (b) -153/10 (c) -0.2 (d) -72
d
Which is the fifth biggest value? (a) -0.1 (b) -19.52 (c) 438/7 (d) 0.5 (e) -5
b
Which is the third smallest value? (a) 0.1 (b) -6/5 (c) 14 (d) 500
c
What is the third biggest value in -2.93, -64.09, -4, -2/9?
-4
Which is the fourth smallest value? (a) 5/2 (b) 0.082 (c) 0 (d) -45 (e) -0.5 (f) 2/13 (g) 2/9
b
Which is the fourth smallest value? (a) 1/78 (b) 17171 (c) 5 (d) -2/3
b
What is the second smallest value in 0.4, -93769, 5, -1, 0, -22?
-22
Which is the third biggest value? (a) 0.44 (b) 5 (c) 0.136 (d) 5087
a
What is the second smallest value in -9, 1497.18, -2/11?
-2/11
Which is the fourth smallest value? (a) -0.05 (b) 26 (c) 159/2 (d) 0.1 (e) 3/5 (f) -4 (g) 1/6
g
What is the second biggest value in -1168, 85218, 2/7?
2/7
What is the third smallest value in -0.0009824, 0.2, -0.03?
0.2
What is the second smallest value in -7/15, -97, -1/2, 11?
-1/2
Which is the smallest value? (a) -0.1835 (b) -2 (c) -2/2047
b
Which is the second biggest value? (a) -15508 (b) -535 (c) 3.2
b
What is the second biggest value in 119349, 1/3, 45?
45
What is the smallest value in -1/7, -9/7, 485, -4, 4, 0.2, -0.1?
-4
What is the third biggest value in -3/4, -5, 11, -0.2, -182, -1/145?
-0.2
What is the biggest value in -5, -20.2, -8745?
-5
Which is the third biggest value? (a) -1916.2 (b) -5/188 (c) -4
a
What is the third biggest value in -0.1, 1.9, 0, 308, 1, -1.2, 4?
1.9
Which is the second smallest value? (a) 29/88919 (b) 0.04 (c) -0.02
a
Which is the second smallest value? (a) 3 (b) 0.01 (c) -5 (d) 1015 (e) 255 (f) -4/7
f
What is the fourth biggest value in -4, 0.5, 5, 2, 689, 38, 0.3?
2
Which is the biggest value? (a) -144544 (b) 5 (c) -1/17
b
Which is the smallest value? (a) -2 (b) -0.5 (c) -2/45 (d) -138728
d
What is the smallest value in -0.0362, -1/4, 876792?
-1/4
What is the second smallest value in -457, -2634, 2/23?
-457
Which is the second biggest value? (a) -1 (b) 0.93 (c) 79.9 (d) -8
b
What is the fourth biggest value in -2, -3, -13.4, 0.4, 24, 13, -1?
-1
Which is the fourth biggest value? (a) -0.3 (b) 16.6 (c) -39 (d) 3 (e) -2
e
What is the third smallest value in 4, 2, 1082484, 3?
4
What is the fifth smallest value in 2/9, 2441.42, -1/3, -4, -1/11?
2441.42
What is the fourth biggest value in -2.6, -34, 0, -12, -3, 277?
-3
What is the fourth smallest value in -1, 3/7, -2, -4, -4/435, 0.7, 1?
-4/435
Which is the fourth smallest value? (a) 0.43 (b) -4 (c) -0.1 (d) 0.115 (e) 2 (f) 2/5
f
What is the third smallest value in 0.2, -48/13, 4, 2?
2
What is the fourth smallest value in 15.4, -1/337855, 2, -2?
15.4
What is the smallest value in -6420229, 104, -1/2?
-6420229
What is the fifth biggest value in -2/5, -196, 4/9, -0.5, 5/6, 0.09, 5?
-2/5
What is the second biggest value in -1878604, -4, 0.03?
-4
Which is the second smallest value? (a) 0.1 (b) -414/11 (c) 3234
a
Which is the second smallest value? (a) 4 (b) 1/27 (c) -2.6 (d) -42
c
Which is the smallest value? (a) 0.1 (b) -3 (c) 373 (d) 0 (e) 71
b
Which is the smallest value? (a) -14/48535 (b) -4 (c) -1/53 (d) 2 (e) -3
b
What is the third smallest value in -59, 24.5, -654?
24.5
What is the second biggest value in 2182, -1.9, 147?
147
Which is the biggest value? (a) -278037 (b) -0.1 (c) -5
b
What is the sixth biggest value in -0.15, -0.3, -0.28, 7, 0.1, 15/7?
-0.3
Which is the fifth biggest value? (a) -1 (b) 42 (c) 2 (d) -0.48 (e) 4
a
Which is the third biggest value? (a) 664396/5 (b) 1 (c) -2
c
What is the third biggest value in -19.0765, 1/9, 4?
-19.0765
What is the third smallest value in 41.37, 2, 0.7, -59.6, -2/7?
0.7
What is the fourth biggest value in 8294, 17/4, -1/2, 4, 1/3, -3?
1/3
Which is the second smallest value? (a) -3 (b) 30 (c) 3 (d) 2 (e) 0.2 (f) -858
a
Which is the fifth biggest value? (a) -6069 (b) 2 (c) 0.1 (d) -8/11 (e) -2 (f) -0.5
e
What is the fifth smallest value in 0.16, 7, 1.28, -2, 29?
29
Which is the second smallest value? (a) 5 (b) 0.84 (c) 189
a
What is the second smallest value in -1.4, -16/7, 0, 2/17, 0.06, 1/2, 1?
-1.4
Which is the second smallest value? (a) -1.4 (b) 17 (c) 31989 (d) -3/8
d
What is the third biggest value in -26, 926, -3/8, 0.3, -3?
-3/8
What is the fourth smallest value in -0.4, 1.5, -4, -4/5, 0.629, 46?
0.629
Which is the fourth smallest value? (a) 5 (b) 10 (c) 3/8 (d) 1.5 (e) 3 (f) -3
e
Which is the third smallest value? (a) 4 (b) -1 (c) 3/83 (d) -1/4 (e) 5 (f) 2
c
What is the second smallest value in 0.4943, 4651, 0.5?
0.5
What is the fourth biggest value in 47, -2/103, 6/11, -2/7?
-2/7
What is the smallest value in -2/9, -948, -711, -1?
-948
What is the biggest value in -0.3, -189, 0, -3, 56?
56
What is the third biggest value in 0.107, 0.1444, -125?
-125
Which is the fourth smallest value? (a) 3/4 (b) 0 (c) -88.2 (d) -497
a
Which is the third smallest value? (a) 34 (b) -4/13 (c) -2623 (d) -5
b
What is the sixth smallest value in 1, -4/7, -3, -39, -153, -2/69?
1
What is the smallest value in 341145/97, 2/55, 2/3?
2/55
Which is the fourth biggest value? (a) 0.1 (b) -7 (c) -2 (d) 1/2 (e) 662 (f) -0.3 (g) 49
a
What is the biggest value in -103698, -0.4, -16?
-0.4
Which is the fifth smallest value? (a) -1/6 (b) -1 (c) 682/3 (d) -62 (e) -4/11
c
Which is the smallest value? (a) 1/89 (b) 3 (c) 3/577
c
Which is the biggest value? (a) 0.5 (b) -185.57137 (c) 4
c
Which is the second biggest value? (a) -1 (b) -0.1 (c) 4648549 (d) -1/3
b
What is the second biggest value in -503, -2/3, 1/6, 50, -1/2, 0.7?
0.7
Which is the second smallest value? (a) 2 (b) -6.603 (c) -0.38 (d) 0
c
What is the second biggest value in 12, -4, 1/9, -10300?
1/9
Which is the fourth biggest value? (a) -27579 (b) -1 (c) 1/2 (d) 0.1 (e) 0.3
b
Which is the fourth smallest value? (a) -8/7 (b) -0.4 (c) -2937 (d) 12 (e) 1/6
e
What is the third biggest value in 0, -1/4, -3/2, -11943921?
-3/2
Which is the second biggest value? (a) 8 (b) -2/9 (c) -0.5 (d) 9 (e) -0.01174
a
Which is the third smallest value? (a) -361945 (b) -2 (c) 0.04
c
What is the sixth smallest value in 2/7, 30, 0, 0.2, -2/9, 6.22?
30
Which is the sixth biggest value? (a) -0.4 (b) 5 (c) 4190 (d) -8 (e) 2/7 (f) -0.01 (g) -4
g
Which is the second smallest value? (a) -2/5 (b) -4 (c) 0.6 (d) -5 (e) 478
b
Which is the smallest value? (a) -0.463 (b) -1/3 (c) -9 (d) -3/4 (e) -0.5
c
Which is the second smallest value? (a) -5.33 (b) 271 (c) 0.23 (d) 0
d
What is the fourth biggest value in 0.4, 0.1, -6/11, 2/11, -60303?
-6/11
What is the second smallest value in 0.24, 3394, -6.4?
0.24
What is the second smallest value in -38, -1/11, 8, -3, -2, 1, 32?
-3
Which is the second biggest value? (a) 1 (b) -0.4 (c) -8387/151
b
Which is the third biggest value? (a) 17284 (b) 0.2 (c) -2/5 (d) -2/579
d
What is the second smallest value in -0.1, 5, 3552961, -0.5?
-0.1
Which is the third biggest value? (a) 6 (b) 10.4 (c) -1 (d) -1/4 (e) -3 (f) 54 (g) 1
a
Which is the second biggest value? (a) 0.0208 (b) -45/12863 (c) -2/9
b
Which is the fourth biggest value? (a) 1 (b) -3/23 (c) -14 (d) 0.5 (e) -7 (f) -5 (g) -4/3
g
What is the third smallest value in -0.5, -59/8, 50295, -2/7?
-2/7
Which is the second biggest value? (a) 92790 (b) -3 (c) -6/35
c
Which is the second smallest value? (a) 6/11 (b) 13/7 (c) 14/15 (d) 0.5 (e) 211
a
What is the second smallest value in -3311, 1/3, 11.9?
1/3
What is the third biggest value in 0.1, 14.4, 55/9826?
55/9826
Which is the third biggest value? (a) 283 (b) 2.478 (c) 18 (d) 1 (e) -3/5 (f) -1
b
What is the third smallest value in -7, 1/3, -0.5, 2482, 3?
1/3
Which i | {
"pile_set_name": "DM Mathematics"
} |
placement from appfpaaffffff. Give prob of sequence ap.
3/52
Two letters picked without replacement from duuuuuudu. Give prob of sequence uu.
7/12
Three letters picked without replacement from {q: 9, d: 2, w: 6}. Give prob of sequence dqw.
9/340
Calculate prob of sequence tjbj when four letters picked without replacement from {j: 1, t: 1, b: 2, m: 7, p: 9}.
0
Three letters picked without replacement from ccdpe. Give prob of sequence cde.
1/30
Two letters picked without replacement from {f: 3, n: 5, h: 5, d: 2, q: 3}. What is prob of sequence fn?
5/102
What is prob of sequence jpj when three letters picked without replacement from jpjpp?
1/10
Three letters picked without replacement from {y: 1, d: 1, x: 1, g: 4, u: 7, r: 4}. What is prob of sequence yrr?
1/408
Three letters picked without replacement from {u: 1, c: 1, l: 3}. What is prob of sequence cul?
1/20
What is prob of sequence kk when two letters picked without replacement from {b: 13, k: 5}?
10/153
Two letters picked without replacement from {e: 9, q: 7}. What is prob of sequence eq?
21/80
Two letters picked without replacement from zozozzoqoqoozqoo. Give prob of sequence qo.
1/10
What is prob of sequence pppk when four letters picked without replacement from {f: 11, k: 4, p: 3}?
1/3060
Four letters picked without replacement from {d: 3, g: 2, c: 4}. What is prob of sequence cddg?
1/63
Four letters picked without replacement from mmhmmmmmhmmmhhmmhh. What is prob of sequence mmmm?
11/68
Calculate prob of sequence yiw when three letters picked without replacement from {y: 1, w: 4, v: 1, i: 4, l: 1, u: 1}.
2/165
Two letters picked without replacement from erccer. What is prob of sequence rr?
1/15
Calculate prob of sequence jl when two letters picked without replacement from {o: 5, j: 2, l: 4, a: 4}.
4/105
Four letters picked without replacement from {n: 10}. What is prob of sequence nnnn?
1
Calculate prob of sequence ggvv when four letters picked without replacement from gilvvgillivlililvgi.
1/1292
Two letters picked without replacement from ajyjijujaajaxa. Give prob of sequence yi.
1/182
Two letters picked without replacement from {g: 6, l: 7, y: 4}. Give prob of sequence lg.
21/136
Two letters picked without replacement from aaoosaasosasazxraaro. Give prob of sequence ox.
1/95
What is prob of sequence bbbb when four letters picked without replacement from {b: 15, k: 4}?
455/1292
Two letters picked without replacement from {s: 2, k: 3, w: 5, e: 9}. Give prob of sequence wk.
5/114
Calculate prob of sequence nbn when three letters picked without replacement from {n: 7, b: 7}.
7/52
Three letters picked without replacement from qllbblflfbq. Give prob of sequence qff.
2/495
Four letters picked without replacement from elzdxpxdz. What is prob of sequence ddxp?
1/756
Two letters picked without replacement from oorsnnw. Give prob of sequence wr.
1/42
What is prob of sequence sss when three letters picked without replacement from {s: 1, n: 1, u: 1}?
0
Three letters picked without replacement from hhhhhyhhhmhmhy. Give prob of sequence mhm.
5/546
Two letters picked without replacement from {w: 2, b: 6}. What is prob of sequence bb?
15/28
Two letters picked without replacement from rmjmtrytmmmmt. What is prob of sequence mm?
5/26
Calculate prob of sequence now when three letters picked without replacement from {o: 2, d: 5, w: 1, n: 1, c: 6, p: 2}.
1/2040
Three letters picked without replacement from ssbsbs. What is prob of sequence bss?
1/5
What is prob of sequence zrz when three letters picked without replacement from zzzddddzzzzdrdzzzd?
5/272
What is prob of sequence kdpd when four letters picked without replacement from {j: 1, p: 1, k: 1, d: 2, w: 2, o: 2}?
1/1512
Three letters picked without replacement from {k: 2, j: 2, n: 3, t: 6, i: 4}. What is prob of sequence nii?
3/340
Three letters picked without replacement from tttktfctt. Give prob of sequence tct.
5/84
Calculate prob of sequence daa when three letters picked without replacement from {a: 2, v: 1, d: 2}.
1/15
Calculate prob of sequence wqnp when four letters picked without replacement from sfspwnq.
1/840
Calculate prob of sequence ts when two letters picked without replacement from sssstzststtzzztss.
5/34
Calculate prob of sequence ucc when three letters picked without replacement from cuce.
1/12
Two letters picked without replacement from dduddddddddddddddd. Give prob of sequence du.
1/18
Calculate prob of sequence qkb when three letters picked without replacement from eqrrkrrbr.
1/504
Two letters picked without replacement from vedcdvvqv. What is prob of sequence eq?
1/72
Three letters picked without replacement from hhhnhn. What is prob of sequence nnh?
1/15
What is prob of sequence qwww when four letters picked without replacement from {w: 3, u: 1, q: 4}?
1/70
Two letters picked without replacement from {n: 2, r: 3, y: 3, j: 2, g: 3}. Give prob of sequence yr.
3/52
What is prob of sequence ii when two letters picked without replacement from {i: 2, y: 1, m: 1, n: 1, p: 4, w: 3}?
1/66
Calculate prob of sequence jwww when four letters picked without replacement from jwwwjjwjwwjjj.
7/143
What is prob of sequence ujwz when four letters picked without replacement from uwjzo?
1/120
Three letters picked without replacement from vvvvvvbb. Give prob of sequence vvb.
5/28
What is prob of sequence hrrr when four letters picked without replacement from {h: 2, d: 4, r: 6}?
2/99
What is prob of sequence fwm when three letters picked without replacement from {f: 1, m: 1, w: 1}?
1/6
Three letters picked without replacement from yarbaagigirg. Give prob of sequence ggi.
1/110
Two letters picked without replacement from czxxxuxuxzzuucx. What is prob of sequence zz?
1/35
Three letters picked without replacement from wfyllmdwf. What is prob of sequence fml?
1/126
Calculate prob of sequence zp when two letters picked without replacement from hzzphuzhihuuuzh.
2/105
Two letters picked without replacement from {b: 2, p: 2}. What is prob of sequence pp?
1/6
What is prob of sequence qte when three letters picked without replacement from {t: 6, q: 1, e: 8}?
8/455
What is prob of sequence lf when two letters picked without replacement from cdfndlnscfsfdddnfd?
2/153
Calculate prob of sequence trtt when four letters picked without replacement from rtrrrtrttitrttrrt.
4/85
What is prob of sequence nb when two letters picked without replacement from xnxhxxnhxxxxnbxhhx?
1/102
Calculate prob of sequence ov when two letters picked without replacement from rovrjojov.
1/12
What is prob of sequence tsr when three letters picked without replacement from trtrrrsrstpum?
5/286
Two letters picked without replacement from nvnl. Give prob of sequence vl.
1/12
Two letters picked without replacement from {b: 2, q: 4}. What is prob of sequence bq?
4/15
Calculate prob of sequence zila when four letters picked without replacement from illziialal.
1/210
Four letters picked without replacement from yqqqqqqqqqqfyqqqqyqf. What is prob of sequence yfyy?
1/9690
Calculate prob of sequence ee when two letters picked without replacement from {x: 1, s: 4, t: 4, e: 3, j: 2}.
3/91
Two letters picked without replacement from {f: 1, q: 11, x: 1}. Give prob of sequence fx.
1/156
What is prob of sequence uutt when four letters picked without replacement from {u: 4, g: 1, t: 3}?
3/70
What is prob of sequence sa when two letters picked without replacement from aysysyaaayyyysssya?
25/306
What is prob of sequence tkou when four letters picked without replacement from fstfukok?
1/840
Two letters picked without replacement from xwxxxwxxwxwwxwxw. What is prob of sequence wx?
21/80
Four letters picked without replacement from {k: 7, p: 3}. What is prob of sequence kkkk?
1/6
Two letters picked without replacement from {r: 13, l: 1, e: 3}. Give prob of sequence er.
39/272
What is prob of sequence gg when two letters picked without replacement from {m: 4, i: 3, g: 2, x: 4, j: 1}?
1/91
Three letters picked without replacement from {g: 11, m: 5}. What is prob of sequence mmg?
11/168
Calculate prob of sequence psr when three letters picked without replacement from {p: 2, r: 1, v: 6, c: 1, s: 2}.
1/330
What is prob of sequence waw when three letters picked without replacement from aww?
1/3
What is prob of sequen | {
"pile_set_name": "DM Mathematics"
} |
-7556)/12*(-70)/(-28) is divided by 75.
74
Suppose 97232 = -80*x + 313312. Calculate the remainder when x is divided by 17.
15
Let u(p) = p**2 + 12. Suppose 3*b - 4 - 20 = 0. Calculate the remainder when u(b) is divided by 11.
10
Suppose b + 813 = -2*a + 117, -5*a - 1741 = 2*b. What is the remainder when 59 is divided by (-4 - 270/(-65)) + a/(-13)?
5
What is the remainder when ((-624)/(-40))/39 + (-57148)/(-5) is divided by 23?
22
What is the remainder when (2/(-3))/((-194)/7857) is divided by (-243)/(-15) - 2/10?
11
What is the remainder when ((-18)/(-12)*3652/33)/((-1)/(-6)) is divided by 494?
8
Let a(s) = -s**3 + 113*s**2 - 179*s + 401. Calculate the remainder when a(110) is divided by 107.
105
Suppose -3*u + m + 58 = 0, -5*m = 3 + 17. Let r be 1112/u - 2*2/(-18). Suppose 0 = 6*v - 316 - r. What is the remainder when v is divided by 33?
30
Let x = -19 + 40. Suppose 0 = -23*c + 28*c + a - 485, 0 = -5*c - 13*a + 545. Calculate the remainder when c is divided by x.
12
Let o(r) = 71 + 4 - 10*r + r**2 - 9*r + 36 - 5*r. Suppose -4*q + 0*q + 28 = 0. What is the remainder when q is divided by o(18)?
1
Let r(d) = -24*d + 609. What is the remainder when r(7) is divided by 34?
33
Suppose -2*i - 6*d + 393 = -393, -2*i + 2*d + 810 = 0. What is the remainder when 1208 is divided by i?
2
Let l(g) = -g**2 + 11*g + 7. Let c(o) = -118*o - 621. What is the remainder when c(-6) is divided by l(8)?
25
Let v(w) = -w + 5. Let l be v(0). Suppose -l*y + 44 + 346 = 0. Suppose -4*f = 4*j - 3*j - y, 3*f = -4*j + 377. What is the remainder when j is divided by 26?
20
Let y(v) = -22*v - 3. Let o be -1*(0 - 1)/(3/15). Suppose n - o*u + 2*u - 42 = 0, -5*n = -u - 182. What is the remainder when y(-5) is divided by n?
35
Suppose 22*z - 975 = 32*z - 23*z. Calculate the remainder when z is divided by 12.
3
Let d(g) = g**3 + 4*g**2 - 11*g - 4. Let c be d(-6). Let n = c - -47. Calculate the remainder when n is divided by 13.
11
Let n be (10/35)/((-4)/(-14))*-1. Let s be ((-74)/(-8) + 2/(-8))*n. What is the remainder when 28 is divided by 182/18 + 1/s?
8
Suppose -184 = -3*o - 5*i, 0 = -3*i + 1 + 14. Let p = o + 17. Suppose y = p + 3. Calculate the remainder when y is divided by 25.
23
Suppose 3*g = 5*g. Suppose -4*n = -17 - 3, -20 = 3*t - 4*n. Suppose 2*o + t*o - 214 = g. Calculate the remainder when o is divided by 18.
17
Let y = 65 + -50. Suppose y*t = 59 + 61. Suppose -6 = t*a - 726. Calculate the remainder when a is divided by 27.
9
Suppose 4*g - 4*y - 300 + 56 = 0, 3*g - 191 = y. Calculate the remainder when 638 is divided by g.
53
Suppose 12*r = 850 + 914 + 2040. Calculate the remainder when r is divided by 159.
158
Let s(k) = -6*k - 6. Let o be s(30). What is the remainder when (-5)/(-6) - 9703/o is divided by 8?
5
Suppose -745*p + 1029282 = -1133693 + 771315. What is the remainder when p is divided by 21?
20
What is the remainder when ((-59)/(-33) - (-114)/209)/((-1)/(-180)) is divided by 106?
102
Suppose 0 = -4*j - 4*s + 2396, 3*j - 56*s + 51*s = 1805. What is the remainder when j is divided by 44?
28
Let v = -169 - -196. Calculate the remainder when v is divided by ((-15)/(-2))/(8/16).
12
Let h = 17063 - 15950. Calculate the remainder when h is divided by 362.
27
Let u = -14983 - -15047. What is the remainder when 270 is divided by u?
14
Let k be 9 - 4/(8/(-2))*1. Let z be (2/k - 0) + (-192)/(-40). Suppose 3*w = 4*d + 23, 4 = w - d - z. What is the remainder when 30 is divided by w?
4
Let g(j) = 514*j**3 + j**2 - 7*j + 7. What is the remainder when g(1) is divided by 61?
27
Suppose 199*r + 27153 - 24839 = 77735. What is the remainder when 389 is divided by r?
10
Suppose -b = -6*v - 113 - 38, -b + v = -121. What is the remainder when 1377 is divided by b?
112
Suppose 7*j - 1190 = 2030. Suppose 1103*u = 1098*u + j. What is the remainder when u is divided by 41?
10
Let s(u) = -u**3 - 33*u**2 - 32*u + 16. Let h be s(-32). What is the remainder when 49 is divided by h/120 - (-624)/45?
7
Let z = -21306 + 21790. Calculate the remainder when z is divided by 119.
8
Suppose 79 = 7*u - 19. Let v be u/6*2*(2 + 1). Calculate the remainder when 35 is divided by 1*v + (-3 + 3)/3.
7
Let p(r) = r**2 - 6*r - 36. Let d be p(-4). Suppose g = -d*s - 47 + 208, 4*g = s + 712. Let o = -120 + g. Calculate the remainder when o is divided by 30.
27
Suppose 0 = -8*b + 14 + 10. Suppose p = -4*r + 56, 4*p - b*r - r - 304 = 0. Let n(c) = -3*c + 6. What is the remainder when p is divided by n(-3)?
12
Let w be 34/10 + (-27)/(-45). Suppose -2*q + 4*j - w = -0, j + 20 = 4*q. Suppose 0 = 302*n - 299*n - 27. Calculate the remainder when n is divided by q.
3
Suppose -1511 = -83*o + 2390 + 1660. Calculate the remainder when 103 is divided by o.
36
Let k = 18767 + -18521. Calculate the remainder when 2694 is divided by k.
234
Suppose -5*x = -4*t + 4428, 2*t - 1820 - 392 = 3*x. Suppose t = -507*n + 515*n. Calculate the remainder when n is divided by 16.
11
Suppose -2*a - 286 = -g + 113, g = -a + 405. Let w = g - 372. Calculate the remainder when 81 is divided by w.
19
Let v(c) = c**2 - c - 3. Let d(s) = -3*s**2 + s + 3. Let q(o) = -2*d(o) - 3*v(o). What is the remainder when q(3) is divided by 19?
14
Let i(v) = -15*v + 40. Let f be i(3). What is the remainder when 57 is divided by (-230)/(-23) + 1 + f?
3
Let h = 678 + -1293. Let q = h - -652. Calculate the remainder when 120 is divided by q.
9
Let n(m) = -2*m + 149. Let q = -47 - -47. Let p be n(q). Suppose -y + p = 2*k - 2*y, -3*k = -4*y - 236. Calculate the remainder when k is divided by 19.
15
Suppose 0 = 4*b + 20, -4*w + 8 + 75 = -3*b. Let s = -21511 + 21559. What is the remainder when s is divided by w?
14
Suppose 3*x + 2*j - 1573 = 0, 6*j = -2*x + 5*j + 1049. What is the remainder when x is divided by 66?
63
Suppose -5*q = -2*g + 11343, -3*q - 9250 - 19098 = -5*g. Calculate the remainder when g is divided by 93.
89
Let o(u) = -u**2 + 10*u + 10. Suppose 5*m = 5*c + 47 - 7, 0 = 4*m. What is the remainder when o(5) is divided by 6/c*(-5 + 3 + -10)?
8
Calculate the remainder when (-393)/(-70 + 69 + (-8)/(-10)) is divided by 11.
7
Let m(l) = -l**3 + 10*l**2 - 6*l + 13. Let j be m(4). Suppose -2*i + 3*i + j = 5*q, q - 23 = -i. Calculate the remainder when 105 is divided by q.
15
Suppose -7997 = -16*j - 765. Suppose 5*i + j - 852 = 0. What is the remainder when i is divided by 29?
22
Suppose -2*j - 3*y = -26, 2*j - 4*y + 26 - 10 = 0. What is the remainder when 1370 is divided by j?
2
Suppose -15*w = 4*w - 190. Let x(c) = -c + 19. Let q(y) = -y**3 + 6*y**2 + 7*y. Let u be q(7). Calculate the remainder when x(u) is divided by w.
9
Suppose -8 = -w - 29. Let z = w + 38. Suppose t - 95 = -3*n, -t - 112 = n - 143. What is the remainder when n is divided by z?
15
Suppose 16*h + 186 = 2*t + 12*h, -400 = -4*t + h. Let p = 307 - t. Calculate the remainder when p is divided by 52.
50
Let g be ((-728)/78)/(-2 + 4/3). Calculate the remainder when 54/3 + (-2)/2 is divided by (-16)/4*(5 + (-91)/g).
5
Let s(u) = 196*u - 1339. What is the remainder when 291 is divided by s(7)?
27
Suppose 6 = 9*c - 12. Suppose -c*j + 186 = -0*j - 2*v, -5*j = -2*v - 471. Suppose -j = -4*a - 11. Calculate the remainder when 60 is divided by a.
18
Suppose 17*i = 35 + 50. Suppose -181 = -i*f + 2*t, -3*f + t + 117 = 4*t. Calculate the remainder when f is divided by 27.
10
Suppose -4*o - 2452 = -r, -4*o = -9*o - 2*r - 3078. Let l = -415 - o. What is the remainder when l is divided by 68?
63
Suppose l - 192 = -193, c - 2*l - 73 = 0. Calculate the remainder when c is divided by 31.
9
Suppose -3*v + 738 = 3*c, c = -0*c + 4. What is the remainder when v is divided by (286/11 - 1/(-3)) + (-4)/(-6)?
26
Suppose 5*n + 3*t = 7*t + 11633, 5*t = 2*n - 4677. What is the remainder when n is divided by 83?
80
Let c be 4/(-6) + 319/(-3). Suppose 0 = -43*l + 36*l + 1463. Let a = l + c. Calculate the remainder when a is divided by 35.
32
Suppose 157*q = -59*q + 33696. Calculate the remainder when 1713 is divided by q.
153
Let i = 489 + -744. Let c = i + 859. What is the remainder when 9/(-63) + c/14 is divided by 16?
11
Let l be -6 + 11 + (4/(-2))/2. Suppose 10 = l*w + 30. Let t = 7 + w. Calculate the remainder when 4 is divided by t.
0
Let c(m) = 66*m - 519. Calculate the remainder when 358 is divided by c(9).
| {
"pile_set_name": "DM Mathematics"
} |
5}. Give prob of picking 2 x.
7/22
Four letters picked without replacement from {j: 3, m: 5, b: 3, h: 6}. Give prob of picking 2 h and 2 m.
15/238
Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, g: 1, d: 3, n: 1, x: 2}.
1/15
Calculate prob of picking 1 w and 3 t when four letters picked without replacement from kwkwtkkttt.
4/105
Three letters picked without replacement from qjtttjjtjwq. What is prob of picking 3 t?
4/165
Two letters picked without replacement from {r: 4, i: 4, l: 8, y: 2, x: 1}. What is prob of picking 1 x and 1 l?
8/171
What is prob of picking 2 c and 1 h when three letters picked without replacement from hhhhhhchhhchhhchchh?
30/323
Four letters picked without replacement from wwwghgwzzhhozzhhhhp. Give prob of picking 1 p, 2 h, and 1 z.
7/323
Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {r: 7, f: 12}.
154/323
Calculate prob of picking 3 l when three letters picked without replacement from {v: 1, l: 3}.
1/4
Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 2, x: 1, i: 6, s: 2}.
4/55
What is prob of picking 1 q, 1 s, and 2 a when four letters picked without replacement from {s: 4, q: 1, p: 2, t: 1, a: 2}?
2/105
Three letters picked without replacement from {h: 2, s: 7, l: 2}. Give prob of picking 3 s.
7/33
Calculate prob of picking 4 x when four letters picked without replacement from xxxxxx.
1
Calculate prob of picking 3 c and 1 g when four letters picked without replacement from {c: 15, g: 4}.
455/969
What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 3, i: 1, h: 1}?
3/10
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {g: 1, n: 14}.
2/15
Three letters picked without replacement from bbbbbbbbbbbbbbbbqbbb. Give prob of picking 3 b.
17/20
What is prob of picking 1 b, 1 m, and 2 c when four letters picked without replacement from {b: 3, m: 4, c: 6}?
36/143
Two letters picked without replacement from ikeos. Give prob of picking 1 s and 1 e.
1/10
Two letters picked without replacement from {v: 1, y: 1, o: 9, m: 3}. What is prob of picking 1 y and 1 o?
9/91
Three letters picked without replacement from luluuluuulu. Give prob of picking 2 l and 1 u.
14/55
Calculate prob of picking 1 k and 3 p when four letters picked without replacement from {q: 3, z: 6, p: 4, k: 2}.
8/1365
What is prob of picking 4 o when four letters picked without replacement from pxlrxvoloooro?
1/143
What is prob of picking 1 z, 1 s, and 1 b when three letters picked without replacement from {l: 1, b: 1, z: 2, s: 1, n: 2, o: 1}?
1/28
Two letters picked without replacement from laofffllflllolca. What is prob of picking 1 o and 1 a?
1/30
What is prob of picking 1 j and 2 s when three letters picked without replacement from ccccccccssccjjccccjc?
1/380
Three letters picked without replacement from {i: 3, x: 1}. What is prob of picking 1 x and 2 i?
3/4
Two letters picked without replacement from ajeieeajeaa. What is prob of picking 1 e and 1 i?
4/55
Calculate prob of picking 1 u, 2 o, and 1 i when four letters picked without replacement from {u: 2, q: 4, m: 1, o: 2, i: 1}.
1/105
Three letters picked without replacement from ajmrjmjjjarmjjmmrjm. What is prob of picking 1 a and 2 j?
56/969
What is prob of picking 4 h when four letters picked without replacement from hhhhhhh?
1
What is prob of picking 2 d and 1 v when three letters picked without replacement from {v: 3, c: 4, d: 13}?
39/190
What is prob of picking 1 z and 1 u when two letters picked without replacement from ssssssssssszu?
1/78
Calculate prob of picking 2 q and 1 w when three letters picked without replacement from {q: 8, w: 5}.
70/143
Three letters picked without replacement from iwkwiiidiikkwwwkii. Give prob of picking 2 i and 1 w.
35/204
Two letters picked without replacement from {k: 1, l: 1, j: 4, r: 2}. What is prob of picking 2 r?
1/28
What is prob of picking 2 b when two letters picked without replacement from {m: 1, k: 7, w: 1, q: 2, g: 1, b: 2}?
1/91
Three letters picked without replacement from ulhokov. Give prob of picking 1 u, 1 v, and 1 l.
1/35
Four letters picked without replacement from {u: 5, i: 5}. What is prob of picking 4 u?
1/42
Three letters picked without replacement from {f: 1, i: 2, k: 3, r: 2, h: 6, j: 4}. What is prob of picking 2 r and 1 k?
1/272
Three letters picked without replacement from {d: 14, h: 2, p: 1}. What is prob of picking 2 d and 1 p?
91/680
What is prob of picking 3 c when three letters picked without replacement from yeyccyceycyyeeey?
1/140
Calculate prob of picking 3 c when three letters picked without replacement from xcxhchcxxuu.
1/165
Two letters picked without replacement from {w: 1, d: 2, j: 7, m: 2, e: 4, y: 1}. What is prob of picking 1 j and 1 m?
7/68
Three letters picked without replacement from {c: 5, h: 3, w: 3}. What is prob of picking 1 w and 2 c?
2/11
Two letters picked without replacement from {q: 1, y: 7, s: 5}. Give prob of picking 2 y.
7/26
Four letters picked without replacement from qqqllqolllqlql. Give prob of picking 3 q and 1 l.
20/143
Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {a: 7, o: 3, l: 9}.
7/19
What is prob of picking 2 l when two letters picked without replacement from {k: 3, l: 3}?
1/5
Calculate prob of picking 1 i and 1 o when two letters picked without replacement from ooiiyiyioiy.
3/11
What is prob of picking 3 c and 1 m when four letters picked without replacement from {m: 1, j: 5, c: 11}?
33/476
What is prob of picking 4 j when four letters picked without replacement from bbjjjjj?
1/7
Three letters picked without replacement from {u: 11, j: 1, p: 3}. What is prob of picking 2 p and 1 u?
33/455
Three letters picked without replacement from {a: 6}. What is prob of picking 3 a?
1
Two letters picked without replacement from nnv. What is prob of picking 1 v and 1 n?
2/3
What is prob of picking 1 t and 1 v when two letters picked without replacement from ttytvhttthhht?
7/78
Two letters picked without replacement from {c: 2, p: 7}. What is prob of picking 1 p and 1 c?
7/18
Four letters picked without replacement from fhhrfssrrrfrrsf. What is prob of picking 3 s and 1 f?
4/1365
Three letters picked without replacement from {y: 3, q: 3, b: 3, p: 6}. What is prob of picking 3 b?
1/455
What is prob of picking 1 s and 3 z when four letters picked without replacement from {s: 4, z: 7}?
14/33
What is prob of picking 1 q and 2 y when three letters picked without replacement from {j: 1, q: 2, y: 2}?
1/5
Three letters picked without replacement from {o: 1, t: 2, w: 11}. What is prob of picking 1 o and 2 t?
1/364
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lzzc.
1/6
Calculate prob of picking 2 c, 1 f, and 1 q when four letters picked without replacement from lqfccoc.
3/35
Three letters picked without replacement from {i: 1, w: 6, l: 1, d: 3, e: 1}. Give prob of picking 2 w and 1 e.
3/44
Calculate prob of picking 4 c when four letters picked without replacement from {c: 13, o: 6}.
715/3876
Calculate prob of picking 1 c, 2 a, and 1 u when four letters picked without replacement from uuvwvvucuaauuvcuav.
7/510
Calculate prob of picking 1 q, 2 w, and 1 u when four letters picked without replacement from uqqqqwrqw.
5/126
Two letters picked without replacement from {e: 6}. Give prob of picking 2 e.
1
Three letters picked without replacement from {i: 3, a: 2}. Give prob of picking 2 i and 1 a.
3/5
Four letters picked without replacement from {d: 7, v: 1}. Give prob of picking 4 d.
1/2
Four letters picked without replacement from uvdvuvf. What is prob of picking 2 u and 2 v?
3/35
Calculate prob of picking 2 v when two letters picked without replacement from {w: 10, v: 4}.
6/91
What is prob of picking 1 z, 1 y, and 1 r when three letters picked without replacement from zzrrzzrzy?
5/28
Three letters picked without replacement from {j: 1, t: 3, w: 3, k: 1, b: 5, v: 1}. What is prob of picking 1 k, 1 j, and 1 b?
5/364
What is prob of picking 2 s when two letters picked without replacement from {d: 10, s: 2, f: 4}?
1/120
Two letters picked without replacement from {e | {
"pile_set_name": "DM Mathematics"
} |
+ r) + (-3*r - 4*r + 5*r)*(1 - 6 + 4) + 2*r + 2*r - 2*r to v*r + y and give v.
249
Express 1218*i**2 + 1032*i**2 + 313*i**2 + 355*i**2 as z*i + q + p*i**2 and give p.
2918
Rearrange 80*f + 30*f - 71*f + (3*f + 3*f - 4*f)*(11 - 2 + 14) to q + x*f and give x.
85
Rearrange -23440*j**2 - 14452*j**2 + 25063*j**2 to v*j**2 + x*j + h and give v.
-12829
Express (-2*n**2 + 5*n**3 + 5*n**4 - 1451*n + 1451*n)*(0 - 10 - 1)*(-3 - 1 + 6) as g*n + k*n**4 + q*n**2 + z + d*n**3 and give k.
-110
Rearrange 0*b + 0*b - b + (5*b - 4*b - 3*b)*(-3 + 0 + 5) + 2*b - 4 + 4 - 35469 - 247*b + 35469 to f*b + q and give q.
0
Rearrange -205*o + 4 - o**2 + 98024*o**3 + 211*o - 98039*o**3 to the form b*o + c*o**3 + s*o**2 + x and give x.
4
Express -25*g**4 + 45*g**4 + 19*g - 4*g**2 - 8*g - 24*g**4 in the form q*g + w*g**4 + b*g**3 + o + x*g**2 and give b.
0
Express -8*v**3 + 11*v**3 - v + v**4 + 10 - 7 - 11*v**3 - 3*v**2 in the form t*v**2 + a*v + o*v**4 + d*v**3 + h and give a.
-1
Express 0 - 88*a**3 - 97*a**3 - 95*a**3 - 181*a**2 + 1 + 281*a**3 in the form s*a**2 + h*a**3 + j + b*a and give h.
1
Rearrange -24*s + 45*s - 14*s + 35*s**2 to the form q*s + d + n*s**2 and give n.
35
Rearrange -170 + 126 + 44 - 17447*l to the form t + m*l and give m.
-17447
Express (-5*h - 4*h + 4*h)*(-21 + 1 - 5)*(0 - 2 + 0)*(1 - 2 + 2) in the form v*h + a and give v.
-250
Rearrange -6*t**4 + 5*t**4 - 14*t**2 - 124 + 137 - 2*t - t**3 to the form z*t**2 + u*t + v + s*t**3 + y*t**4 and give u.
-2
Rearrange -5*t + 10893*t**2 - 10620*t**2 - 2 + 1 + 0 + 2 to r + l*t**2 + y*t and give l.
273
Express 303527 + 2*d**3 + 515*d**4 + d + 0*d**2 + 0*d**2 - 303526 as q*d**4 + m*d**2 + c*d + a + b*d**3 and give c.
1
Rearrange (4 + 64 + 28)*(-i - 8 + 8)*(1 + 2 - 2) to g + k*i and give k.
-96
Rearrange -235298*q + 235065*q - 3 - 1 to the form z*q + r and give r.
-4
Rearrange (-187*d - 259*d + 62*d)*(-d**2 - 25 + 25) to the form j*d + z + i*d**2 + t*d**3 and give t.
384
Rearrange 107*b**2 - 38 - 101*b**2 + 2*b - 2*b to g*b + q + w*b**2 and give w.
6
Rearrange (-39*i**2 - 5*i**2 + 9*i**2 + (i + 1 - 1)*(3 - 3 - 2*i))*(15*i + 9*i + 16*i) to r*i**3 + g*i + w + v*i**2 and give r.
-1480
Express 54*s**3 + 39*s - 2 + s**4 - 41*s + 1 - 5 - 34*s**3 - 2*s**2 as q*s**4 + d*s + x*s**2 + k + v*s**3 and give k.
-6
Express 29127*h**2 - 48850*h**2 + 51399*h**2 in the form y + t*h + b*h**2 and give y.
0
Rearrange -16*x**2 - 9 - 157*x**3 + 313*x**3 - 3*x**4 - 155*x**3 - 22*x**2 to the form s + k*x**2 + a*x**3 + g*x**4 + z*x and give g.
-3
Rearrange 463*y - 112*y + 1 + 352*y + 0 to the form m*y + q and give q.
1
Express -44*k - 17*k + 55*k**3 - 6 + 61*k + 41*k**3 as x + y*k + z*k**3 + i*k**2 and give z.
96
Express 68*x**4 - 3*x**2 - 39*x**4 - 28*x**4 - 3*x**3 + 49*x - 2 - 307*x - 80*x as i*x**3 + u*x + m + b*x**4 + t*x**2 and give t.
-3
Express 63 - 54*k**2 - 17 - 23 + 53*k**2 + k - 3*k - 16*k**4 - k**3 as l*k**4 + y*k**2 + c*k + q + a*k**3 and give l.
-16
Rearrange (-c - 3*c + 5*c)*(-5 + 4 - 1)*(-66 - 71 + 130)*((-3 - 2 + 3)*(-3 + 4 + 0) + (-3 - 3 - 1)*(-1 - 1 + 0)) to the form q*c + s and give q.
168
Express 770*h - 23*h**2 - 24 - 777*h + 27*h**2 in the form v*h**2 + l + g*h and give g.
-7
Rearrange (-g - 2*g + 5*g + 1410*g + 1088*g - 3365*g + (-3 + 0 + 5)*(2*g + 4*g - g))*(2 - 2 - 1) to the form l*g + i and give l.
855
Express -1172*l**2 - 733*l**2 + 168*l**2 in the form v*l**2 + q*l + o and give v.
-1737
Express -1672974 + 15*w**4 + 0*w**3 + 1672969 + 0*w**3 - 7*w as o*w**3 + p*w + v*w**2 + i*w**4 + l and give i.
15
Rearrange 3006*h - 677*h + h**2 + 2117*h + 319*h + 207*h to the form c*h**2 + l + o*h and give c.
1
Rearrange (2*c + 2*c - 2*c)*(98 + 166 - 128 + 132 + 127)*(-147*c**3 + 12*c**3 - 102*c**3) to the form z + j*c**3 + b*c**4 + g*c + s*c**2 and give b.
-187230
Rearrange ((-3*u + u + 4*u)*(-5 - 2 + 4) + u + u - 3*u)*(-10 + 10 + 59*u)*(-3 + 1 + 5) to j + k*u**2 + t*u and give k.
-1239
Rearrange (2 - w**3 - 5 + 4)*(-211 - 1452 - 15) to the form g + m*w**2 + u*w**3 + b*w and give u.
1678
Rearrange 45*n + 29*n + 65*n + 33*n - 16 + 5*n to s + w*n and give w.
177
Rearrange 321*h - 14324 - 14329 + 42965 - 14319 to the form x + w*h and give w.
321
Rearrange -6*o - 21901 + 12*o**3 - 12*o - 21912 + 43816 to the form t + m*o + q*o**3 + f*o**2 and give q.
12
Rearrange 453043 - 2*q**2 - 226522 - q - 35*q**3 - 226522 to s*q**3 + i*q**2 + h*q + g and give i.
-2
Rearrange -7253677*g**2 - 3*g + 9 - g + 7253712*g**2 to the form z + v*g**2 + b*g and give v.
35
Express 25 - 29737*w**3 - 163*w + 13698*w**3 - 2*w**2 + 16041*w**3 + w**4 + (w + w**3 - w)*(-5*w + 5*w + 2*w) as x*w + s*w**2 + c*w**3 + u + q*w**4 and give s.
-2
Express (-11 + 11 - 9*m)*(-173 + 802 + 36) - 5 - m + 5 in the form h*m + o and give h.
-5986
Express a**3 - 3904*a**4 - 3*a**3 - 3 + 3918*a**4 + 4*a in the form z*a**4 + j*a**3 + h + s*a + r*a**2 and give j.
-2
Express (23090720*a - 23090720*a - 2279*a**2)*(3*a - 6*a + 4*a) as i*a**3 + z*a + l*a**2 + s and give i.
-2279
Express -44*u - 991*u - 194*u - 657*u - 656*u in the form d + n*u and give n.
-2542
Rearrange 833*i - 1715*i - 2 + 854*i + 4*i**2 + 5*i**2 to l*i + p + c*i**2 and give l.
-28
Express (0*g + g - 2*g)*(0 - 2*g + 0) - 77*g**2 - 720*g**2 + 57*g**2 as n*g + u + q*g**2 and give q.
-738
Rearrange 42*x - 68*x + 29 - 96*x - 34 to the form c*x + l and give l.
-5
Express ((2 + 2*y - 2)*(0 - 9 - 2) - 2*y + 5*y - 2*y)*(-28*y**3 + 85*y - 85*y) as i + o*y**3 + a*y + z*y**2 + h*y**4 and give h.
588
Rearrange 4*i**3 - 2*i**3 + 7*i**3 - 339 + 356 - 2*i - 2*i**4 - 2*i**3 - 2*i**2 to c*i**4 + s*i + p + j*i**2 + b*i**3 and give s.
-2
Rearrange 22231 + 14666*r**3 - 22231 - 3*r**2 + 0*r**2 + 5*r**2 to the form q*r**2 + u + i*r**3 + l*r and give q.
2
Rearrange 1107 + 1116 - 2223 + 2013*j + 719*j to l + v*j and give v.
2732
Express -4 - 8*x**2 - 161*x + 2 + 698*x as a*x**2 + c*x + g and give a.
-8
Rearrange -6*l + 4 - 186 - 24 + 91 to z + w*l and give w.
-6
Express (-3087*j - 36633*j - 152 + 152 + (0 - 2*j + 0)*(1 + 0 + 1) + 4*j - j - 4*j)*(-4*j + 4*j - j**2) in the form p*j**2 + q*j**3 + z + i*j and give q.
39725
Rearrange -695*k + 256*k + 116*k - 4*k - k + 3*k + (1 + 6 - 2)*(0*k - 3*k + 5*k) to the form r*k + v and give r.
-315
Express -61 - 9235*m**2 - 12945*m**2 + 3108*m**2 + 61 as i + n*m + r*m**2 and give r.
-19072
Express 2 - 9*o + 137*o + 27*o - 4 in the form d + m*o and give m.
155
Express -m**3 + 6 - 14*m**4 - 14*m**2 - 31044*m + 31043*m + 4*m**2 in the form x*m + n*m**3 + v*m**2 + r + i*m**4 and give i.
-14
Express -19918 + 151*f + 19918 in the form h + v*f and give v.
151
Rearrange -1677 + 4*v**2 + v**2 - 10*v**2 - 25 to b + l*v**2 + j*v and give b.
-1702
Rearrange 303*r + 252*r + 323*r - 726*r - 1 to the form o + j*r and give o.
-1
Rearrange 3448 - 466*v**3 - v - 6891 + 3444 + 4*v**2 - v - 2*v**2 to the form x*v + w*v**3 + d + s*v**2 and give x.
-2
Rearrange 0 + 123*g**2 + 3*g - 4*g + 190*g**4 + 3*g**3 - 122*g**2 - 214*g**4 - 8 to the form v + s*g + o*g**2 + j*g**3 + y*g**4 and give y.
-24
Express 1635 - 4*u**3 - 2*u**2 - 1652 + 3*u**2 in the form p + b*u + w*u**2 + g*u**3 and give p.
-17
Rearrange -549*f**2 + 580*f**2 + 55 - 21*f**4 - 56 to p*f**4 + z + t*f + j*f**2 + y*f**3 and give z.
-1
Express 2*c + 2*c + c - 10*c - 157 + 157 + (-2 + 1 - 5)*(6*c + c + 2*c) in the form w*c + t and give w.
-59
Express (3 - 2 + 4)*(4*q - q - q)*(1 + 1 + 2)*(-4 - 23 - 11) as i + z*q and give z.
-1520
Rearrange -3*y + 3*y - 2*y - 2 - 3*y + 2 + (2*y + 1 - 1)*(1 - 3 + 4) + (-12*y + 0*y - 7*y)*(6 - 4 + 0) + y - 3*y + 3*y to m + r*y and give r.
-38
Express (11162 - 16002 + 10809)*(-y - y + 0*y)*(-1 + 1 - y) in the form k + m*y**2 + f*y and give m.
11938
Rearrange 3*g**2 - 33*g**2 + 171*g - 86*g - 2*g**4 - 88*g + 3*g**3 - 19*g**2 to the form a*g**3 + q*g**2 + h + p*g**4 + b*g and give q.
-49
Rearrange (-652*v**2 - 559*v**2 + 136724*v - 136726*v)*(-5*v - 5*v + 2*v + (-v - v + 0*v)*(-3 - 1 + 5)) to w*v**2 + n*v**3 + t + h*v and give w.
20
Express 8*n + 2 + 97*n**2 + n - 2*n - 472*n**2 in the form z*n**2 + f*n + x and give x.
2
Express -100 - 102 + 203 - 1445*t as w + m*t and give m.
-1445
Rearrange -20*j + 39*j - 24*j + 117 + (0 + 3 - 2)*(-j + 3*j - j) - 3*j + 2*j + 2*j to the form p + g*j and give p.
117
Rearrange (-2 + 2 - h)*(2713*h + 1 | {
"pile_set_name": "DM Mathematics"
} |
11:39 PM and 1:34 AM?
115
What is 610 minutes after 8:36 AM?
6:46 PM
What is 490 minutes before 7:15 AM?
11:05 PM
How many minutes are there between 8:30 PM and 9:18 PM?
48
How many minutes are there between 6:29 AM and 6:54 AM?
25
What is 504 minutes before 1:29 AM?
5:05 PM
What is 661 minutes after 3:14 PM?
2:15 AM
How many minutes are there between 11:44 PM and 6:00 AM?
376
How many minutes are there between 6:16 AM and 11:09 AM?
293
How many minutes are there between 1:39 PM and 5:37 PM?
238
What is 296 minutes after 11:20 PM?
4:16 AM
How many minutes are there between 12:50 PM and 1:44 PM?
54
What is 453 minutes after 3:31 AM?
11:04 AM
How many minutes are there between 11:30 AM and 3:27 PM?
237
How many minutes are there between 2:01 AM and 7:14 AM?
313
What is 40 minutes before 9:39 AM?
8:59 AM
How many minutes are there between 10:57 AM and 12:57 PM?
120
What is 394 minutes after 11:06 PM?
5:40 AM
How many minutes are there between 4:08 PM and 3:26 AM?
678
What is 552 minutes after 10:20 AM?
7:32 PM
How many minutes are there between 8:39 PM and 1:35 AM?
296
What is 446 minutes before 10:17 AM?
2:51 AM
What is 33 minutes before 12:30 PM?
11:57 AM
How many minutes are there between 11:19 AM and 10:00 PM?
641
What is 572 minutes before 5:42 PM?
8:10 AM
How many minutes are there between 1:31 PM and 4:32 PM?
181
How many minutes are there between 6:04 PM and 11:14 PM?
310
How many minutes are there between 2:08 PM and 9:31 PM?
443
What is 667 minutes before 5:39 PM?
6:32 AM
What is 634 minutes after 11:24 PM?
9:58 AM
How many minutes are there between 5:48 PM and 2:43 AM?
535
What is 104 minutes before 10:48 PM?
9:04 PM
How many minutes are there between 7:35 PM and 5:59 AM?
624
What is 360 minutes after 4:15 PM?
10:15 PM
What is 253 minutes after 6:53 AM?
11:06 AM
How many minutes are there between 6:31 AM and 4:19 PM?
588
What is 612 minutes after 11:49 AM?
10:01 PM
How many minutes are there between 10:43 AM and 3:32 PM?
289
How many minutes are there between 9:16 PM and 4:10 AM?
414
How many minutes are there between 11:38 AM and 10:21 PM?
643
How many minutes are there between 10:06 AM and 4:31 PM?
385
How many minutes are there between 1:18 AM and 8:03 AM?
405
How many minutes are there between 2:28 AM and 2:07 PM?
699
What is 41 minutes before 6:45 PM?
6:04 PM
How many minutes are there between 7:18 PM and 3:00 AM?
462
How many minutes are there between 1:37 AM and 6:46 AM?
309
What is 568 minutes after 6:26 AM?
3:54 PM
How many minutes are there between 12:46 AM and 3:14 AM?
148
What is 454 minutes before 3:42 AM?
8:08 PM
What is 385 minutes before 6:37 PM?
12:12 PM
How many minutes are there between 3:24 PM and 11:29 PM?
485
What is 274 minutes before 11:59 PM?
7:25 PM
What is 715 minutes before 9:47 AM?
9:52 PM
What is 323 minutes after 10:40 AM?
4:03 PM
What is 359 minutes after 3:23 PM?
9:22 PM
What is 618 minutes after 6:51 PM?
5:09 AM
What is 320 minutes after 10:26 PM?
3:46 AM
What is 564 minutes before 9:31 PM?
12:07 PM
What is 556 minutes after 11:04 AM?
8:20 PM
How many minutes are there between 10:40 AM and 6:03 PM?
443
How many minutes are there between 2:42 AM and 9:38 AM?
416
How many minutes are there between 9:02 AM and 9:08 AM?
6
How many minutes are there between 5:31 AM and 7:12 AM?
101
What is 353 minutes before 7:03 AM?
1:10 AM
What is 48 minutes after 1:08 PM?
1:56 PM
What is 504 minutes before 3:20 AM?
6:56 PM
What is 697 minutes after 2:28 AM?
2:05 PM
What is 605 minutes after 12:27 AM?
10:32 AM
What is 318 minutes before 5:18 PM?
12:00 PM
How many minutes are there between 11:15 AM and 9:01 PM?
586
What is 298 minutes before 8:46 AM?
3:48 AM
What is 217 minutes before 7:11 AM?
3:34 AM
How many minutes are there between 6:10 PM and 6:00 AM?
710
What is 485 minutes before 8:55 PM?
12:50 PM
What is 98 minutes after 5:41 PM?
7:19 PM
What is 385 minutes before 3:30 AM?
9:05 PM
What is 454 minutes before 8:03 AM?
12:29 AM
What is 706 minutes before 8:02 PM?
8:16 AM
What is 184 minutes before 7:02 PM?
3:58 PM
What is 429 minutes before 6:45 PM?
11:36 AM
How many minutes are there between 7:43 PM and 2:28 AM?
405
What is 517 minutes before 2:01 PM?
5:24 AM
What is 158 minutes after 1:53 PM?
4:31 PM
How many minutes are there between 4:22 PM and 5:33 PM?
71
How many minutes are there between 7:29 PM and 4:21 AM?
532
How many minutes are there between 3:00 PM and 11:25 PM?
505
How many minutes are there between 6:10 PM and 6:05 AM?
715
What is 252 minutes after 1:24 PM?
5:36 PM
How many minutes are there between 12:25 AM and 4:25 AM?
240
What is 345 minutes before 2:22 AM?
8:37 PM
What is 35 minutes after 12:19 PM?
12:54 PM
What is 538 minutes after 12:23 AM?
9:21 AM
How many minutes are there between 7:57 AM and 2:28 PM?
391
How many minutes are there between 7:17 AM and 2:05 PM?
408
How many minutes are there between 7:05 PM and 5:39 AM?
634
How many minutes are there between 11:50 PM and 3:53 AM?
243
How many minutes are there between 10:32 PM and 6:09 AM?
457
What is 669 minutes before 5:25 AM?
6:16 PM
How many minutes are there between 11:08 PM and 8:03 AM?
535
How many minutes are there between 10:52 PM and 6:15 AM?
443
What is 60 minutes after 11:33 PM?
12:33 AM
How many minutes are there between 8:23 AM and 7:07 PM?
644
How many minutes are there between 7:02 PM and 11:14 PM?
252
How many minutes are there between 12:25 PM and 8:49 PM?
504
What is 277 minutes before 4:47 AM?
12:10 AM
How many minutes are there between 7:55 AM and 7:02 PM?
667
What is 652 minutes before 5:53 PM?
7:01 AM
What is 254 minutes after 12:20 AM?
4:34 AM
How many minutes are there between 10:21 AM and 2:35 PM?
254
What is 173 minutes after 3:33 AM?
6:26 AM
How many minutes are there between 6:48 AM and 6:43 PM?
715
How many minutes are there between 1:58 PM and 9:46 PM?
468
How many minutes are there between 10:17 AM and 8:04 PM?
587
What is 421 minutes after 10:38 AM?
5:39 PM
What is 457 minutes before 8:27 PM?
12:50 PM
What is 492 minutes after 6:52 AM?
3:04 PM
How many minutes are there between 9:36 PM and 1:00 AM?
204
How many minutes are there between 8:57 AM and 6:27 PM?
570
What is 418 minutes before 5:53 PM?
10:55 AM
What is 126 minutes after 8:30 PM?
10:36 PM
How many minutes are there between 7:13 AM and 10:08 AM?
175
What is 376 minutes after 4:04 PM?
10:20 PM
How many minutes are there between 8:00 AM and 4:25 PM?
505
What is 88 minutes after 6:03 PM?
7:31 PM
How many minutes are there between 9:04 AM and 6:52 PM?
588
What is 244 minutes after 6:20 PM?
10:24 PM
What is 700 minutes after 11:40 PM?
11:20 AM
What is 20 minutes before 7:49 AM?
7:29 AM
How many minutes are there between 8:05 PM and 7:27 AM?
682
How many minutes are there between 9:58 AM and 9:52 PM?
714
What is 679 minutes before 8:45 AM?
9:26 PM
What is 103 minutes before 4:24 PM?
2:41 PM
How many minutes are there between 1:28 AM and 4:23 AM?
175
What is 367 minutes before 11:03 AM?
4:56 AM
What is 33 minutes after 5:29 PM?
6:02 PM
How many minutes are there between 4:02 PM and 3:03 AM?
661
How many minutes are there between 6:48 AM and 3:38 PM?
530
What is 702 minutes before 1:40 PM?
1:58 AM
How many minutes are there between 3:01 PM and 8:23 PM?
322
What is 279 minutes after 12:42 AM?
5:21 AM
What is 111 minutes after 2:32 PM?
4:23 PM
How many minutes are there between 7:42 PM and 6:07 AM?
625
How many minutes are there between 3:02 AM and 6:31 AM?
209
How many minutes are there between 4:07 PM and 6:36 PM?
149
What is 211 minutes after 1:05 PM?
4:36 PM
What is 485 minutes after 9:33 PM?
5:38 AM
How many minutes are there between 12:24 PM and 3:11 PM?
167
How many minutes are there between 6:38 PM and 10:52 PM?
254
How many minutes are there between 2:21 PM and 4:43 PM?
142
How many minutes are there between 9:49 PM and 1:11 AM?
202
How many minutes are there between 1:39 AM and 10:24 AM?
525
How many minutes are there between 7:53 AM and 5:48 PM?
595
How many minutes are there between 7:26 AM and 10:19 AM?
173
What is 485 minutes before 10:25 PM?
2:20 PM
How many minutes are there between 4:55 AM and 9:08 AM?
253
What is 688 minutes after 9:23 PM?
8:51 AM
What is 296 minutes after 5:09 PM?
10:05 PM
What is 458 minutes after 1:02 AM?
8:40 AM
What is | {
"pile_set_name": "DM Mathematics"
} |
8 rounded to four decimal places?
0.0095
What is 0.00043611 rounded to five dps?
0.00044
Round -0.003621 to 5 dps.
-0.00362
Round -466430 to the nearest ten thousand.
-470000
What is -0.6613 rounded to 2 dps?
-0.66
What is -3797000 rounded to the nearest 1000000?
-4000000
Round -5.833 to 1 dp.
-5.8
What is 0.00000484 rounded to 6 dps?
0.000005
Round -1.3069 to two dps.
-1.31
What is -98.68 rounded to the nearest 10?
-100
Round 86.04 to the nearest integer.
86
Round 264800 to the nearest 100000.
300000
What is 1776.5 rounded to the nearest 100?
1800
Round -1.3465 to 1 dp.
-1.3
Round 0.0000036779 to seven decimal places.
0.0000037
What is -430 rounded to the nearest 10000?
0
Round -0.0000006082 to seven decimal places.
-0.0000006
What is 0.44 rounded to 1 decimal place?
0.4
What is -7.1913 rounded to 1 dp?
-7.2
What is -208.1 rounded to the nearest 10?
-210
What is -0.00991 rounded to 3 decimal places?
-0.01
Round 60230 to the nearest 10000.
60000
What is 0.00057146 rounded to 5 decimal places?
0.00057
What is -0.00001873 rounded to 6 dps?
-0.000019
What is -3666600 rounded to the nearest one million?
-4000000
Round 0.0000010334 to 7 dps.
0.000001
Round 337680 to the nearest 10000.
340000
Round -139000000 to the nearest one million.
-139000000
What is 95910000 rounded to the nearest 1000000?
96000000
What is -40 rounded to the nearest one hundred?
0
What is 0.24052 rounded to three dps?
0.241
What is -0.0665 rounded to three dps?
-0.067
Round 1077.6 to the nearest one hundred.
1100
What is -2596 rounded to the nearest 100?
-2600
What is 0.39112 rounded to three decimal places?
0.391
Round -914800 to the nearest 100000.
-900000
What is -0.0000655 rounded to six decimal places?
-0.000066
Round -0.652 to the nearest integer.
-1
Round -0.05865 to three decimal places.
-0.059
Round -10469.2 to the nearest 100.
-10500
What is 13.167 rounded to the nearest integer?
13
Round 0.0008405 to five dps.
0.00084
What is 0.0118 rounded to 2 dps?
0.01
What is 134.74 rounded to the nearest ten?
130
Round -0.3092 to two decimal places.
-0.31
Round 178450 to the nearest 100000.
200000
What is 292110 rounded to the nearest ten thousand?
290000
Round 0.2104 to 2 dps.
0.21
What is 4.756 rounded to zero dps?
5
What is 0.0934 rounded to one decimal place?
0.1
What is 0.0892 rounded to three decimal places?
0.089
What is -6014000 rounded to the nearest 1000000?
-6000000
What is 299 rounded to the nearest ten?
300
What is 88.87 rounded to the nearest 10?
90
Round -2081000 to the nearest 100000.
-2100000
What is 5.728 rounded to 1 decimal place?
5.7
Round 9.8372 to one decimal place.
9.8
What is 3814100 rounded to the nearest 10000?
3810000
Round -0.02554 to 3 dps.
-0.026
What is -52091 rounded to the nearest 100?
-52100
Round -526.67 to the nearest 10.
-530
What is -0.003474 rounded to three decimal places?
-0.003
What is -581.59 rounded to the nearest 10?
-580
Round -2231.7 to the nearest 10.
-2230
What is -24225 rounded to the nearest 1000?
-24000
What is 707800 rounded to the nearest one hundred thousand?
700000
What is 0.000025212 rounded to 7 dps?
0.0000252
What is 0.00456 rounded to three decimal places?
0.005
Round 0.000306 to five dps.
0.00031
What is 133.383 rounded to the nearest ten?
130
Round -693000 to the nearest 100000.
-700000
Round 603600 to the nearest one hundred thousand.
600000
What is -0.000010515 rounded to seven decimal places?
-0.0000105
Round -36820000 to the nearest one million.
-37000000
Round -0.15057 to two dps.
-0.15
Round -0.000016311 to six decimal places.
-0.000016
What is -4238400 rounded to the nearest ten thousand?
-4240000
What is 0.576668 rounded to three decimal places?
0.577
What is 84 rounded to the nearest ten?
80
What is 94.168 rounded to the nearest ten?
90
What is 47800000 rounded to the nearest 1000000?
48000000
What is 5.59 rounded to 0 decimal places?
6
Round -10359 to the nearest one thousand.
-10000
What is -0.00000462 rounded to seven dps?
-0.0000046
What is 25.22 rounded to zero decimal places?
25
Round 0.04581 to 3 dps.
0.046
Round 4775500 to the nearest 10000.
4780000
What is 197.89 rounded to the nearest ten?
200
What is 94750 rounded to the nearest 10000?
90000
What is -0.00188514 rounded to four decimal places?
-0.0019
Round 100230 to the nearest 10000.
100000
Round 0.086 to two decimal places.
0.09
What is -2384000 rounded to the nearest 1000000?
-2000000
Round -3.294 to one dp.
-3.3
What is -1596.3 rounded to the nearest 100?
-1600
What is 13491 rounded to the nearest one thousand?
13000
Round -24.5497 to one decimal place.
-24.5
What is -0.000015532 rounded to 7 decimal places?
-0.0000155
Round -4.648 to 1 dp.
-4.6
What is -19135.4 rounded to the nearest one hundred?
-19100
What is 71726 rounded to the nearest 100?
71700
Round -3005.7 to the nearest 10.
-3010
Round -0.00115 to five decimal places.
-0.00115
Round -132652 to the nearest 100.
-132700
Round 23.625 to the nearest integer.
24
What is 32230 rounded to the nearest 10000?
30000
What is -18690 rounded to the nearest ten thousand?
-20000
What is -0.000931 rounded to four dps?
-0.0009
What is 9080 rounded to the nearest 100?
9100
Round 0.0000000251 to 7 decimal places.
0
What is -8843800 rounded to the nearest one million?
-9000000
What is 0.00003303 rounded to 5 decimal places?
0.00003
Round -2038000 to the nearest 10000.
-2040000
What is -0.00055297 rounded to 4 dps?
-0.0006
What is -7210000 rounded to the nearest 1000000?
-7000000
Round 26399 to the nearest one hundred.
26400
What is 743500 rounded to the nearest ten thousand?
740000
What is -2.9397 rounded to one decimal place?
-2.9
Round -0.004553 to 3 dps.
-0.005
Round -110.44 to zero decimal places.
-110
Round 2979000 to the nearest 100000.
3000000
What is -1000.6 rounded to the nearest one thousand?
-1000
What is 16.5745 rounded to one decimal place?
16.6
Round 0.000001963 to 7 decimal places.
0.000002
What is 0.0000048903 rounded to six dps?
0.000005
What is -22.65 rounded to the nearest 100?
0
What is 0.0000138472 rounded to seven dps?
0.0000138
What is 159125000 rounded to the nearest 1000000?
159000000
Round 0.01252 to 4 decimal places.
0.0125
What is -10.389 rounded to 0 dps?
-10
Round -1.107 to one decimal place.
-1.1
What is 0.000044185 rounded to six dps?
0.000044
Round -999670 to the nearest 1000.
-1000000
Round -1139.94 to zero dps.
-1140
Round 9863.8 to the nearest one thousand.
10000
What is -0.0000004184 rounded to 7 dps?
-0.0000004
What is 0.000212 rounded to 6 dps?
0.000212
Round -30790000 to the nearest 1000000.
-31000000
Round 0.501299 to two decimal places.
0.5
Round 8.889 to 1 decimal place.
8.9
Round 0.00143931 to 4 dps.
0.0014
Round 5.45 to the nearest ten.
10
Round 266.31 to the nearest 100.
300
What is 4379000 rounded to the nearest one million?
4000000
What is -22739500 rounded to the nearest one hundred thousand?
-22700000
Round 0.1636 to two dps.
0.16
What is 429 rounded to the nearest 100?
400
What is 28.8819 rounded to 1 decimal place?
28.9
What is -0.00063804 rounded to five decimal places?
-0.00064
What is -0.0000004554 rounded to 7 decimal places?
-0.0000005
What is -289.6 rounded to the nearest 10?
-290
Round -1467000 to the nearest one hundred thousand.
-1500000
Round -0.31953 to 2 decimal places.
-0.32
What is 630490 rounded to the nearest 1000?
630000
Round 62210 to the nearest ten thousand.
60000
What is -19172 rounded to the nearest 100?
-19200
What is -117000 rounded to the nearest 1000?
-117000
Round -0.002377 to 4 decimal places.
-0.0024
Round 26000 to the nearest ten thousand.
30000
What is -6600 rounded to the nearest ten thousand?
-10000
Round -5760 to the nearest one thousand.
-6000
What is 0.4294 rounded to two dps?
0.43
What is -0.009054 rounded to four dps?
-0.0091
What is 20.8736 rounded to one decimal place?
20.9
What is 0.095751 rounded to 3 dps?
0.096
Round 0.13274 to 2 decimal places.
0.13
What is 4100100 rounded to the nearest one hundred thousand?
4100000
What is 2436650 rounded to the nearest one hundred thousand?
2400000
What is 0.00010655 rounded to 5 decimal places?
0.00011
Round -169650 to the nearest ten thousand.
-170000
Round -1895.5 to the nearest ten.
-1900
What is 0.00018141 rounded to 5 decimal places?
0.00018
What is -847.07 rou | {
"pile_set_name": "DM Mathematics"
} |
ng 2 h when two letters picked without replacement from ihhhvvvhh?
5/18
Three letters picked without replacement from {c: 1, r: 1, i: 3, p: 6, j: 4, d: 1}. Give prob of picking 2 j and 1 i.
9/280
Two letters picked without replacement from oyyryoyrocorrho. What is prob of picking 2 y?
2/35
Four letters picked without replacement from brbbbrrbbb. Give prob of picking 2 b and 2 r.
3/10
Calculate prob of picking 2 z when two letters picked without replacement from {w: 13, z: 6}.
5/57
What is prob of picking 2 c, 1 k, and 1 s when four letters picked without replacement from zcsxckkyxkzkxs?
8/1001
Calculate prob of picking 1 q and 2 c when three letters picked without replacement from cmqvsmcv.
1/56
Three letters picked without replacement from iwwwiwb. What is prob of picking 3 i?
0
Two letters picked without replacement from {s: 3, x: 2, h: 2, o: 5, j: 3}. Give prob of picking 2 s.
1/35
Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {c: 4, y: 2, z: 3, g: 2}.
4/165
Three letters picked without replacement from {r: 2, y: 17}. What is prob of picking 2 r and 1 y?
1/57
Four letters picked without replacement from mmzzzm. Give prob of picking 3 m and 1 z.
1/5
Two letters picked without replacement from {u: 1, y: 6, a: 3, x: 7}. Give prob of picking 2 a.
3/136
Two letters picked without replacement from ymnwynnyrmwmlnmyymn. What is prob of picking 2 w?
1/171
Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dadaa.
3/5
Four letters picked without replacement from uuuqquqquu. What is prob of picking 4 u?
1/14
Two letters picked without replacement from {x: 1, n: 4, o: 2}. Give prob of picking 1 o and 1 n.
8/21
What is prob of picking 3 b when three letters picked without replacement from btbbbbtttbbbt?
28/143
Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, c: 2}.
15/26
What is prob of picking 2 q when two letters picked without replacement from {g: 3, q: 5}?
5/14
What is prob of picking 1 r, 1 p, and 1 e when three letters picked without replacement from perpeyp?
6/35
Two letters picked without replacement from eeeeooooeeeooeoeooe. What is prob of picking 1 e and 1 o?
10/19
Three letters picked without replacement from oooooooiooooiooooo. Give prob of picking 1 i and 2 o.
5/17
Three letters picked without replacement from uhuhuhyyyyyh. Give prob of picking 3 h.
1/55
Calculate prob of picking 1 n, 2 l, and 1 u when four letters picked without replacement from {l: 2, u: 1, i: 6, n: 2}.
1/165
Three letters picked without replacement from {x: 7, o: 1, j: 6}. What is prob of picking 1 o, 1 x, and 1 j?
3/26
Calculate prob of picking 1 y, 1 c, and 1 x when three letters picked without replacement from {a: 2, z: 1, c: 2, x: 1, y: 1}.
2/35
Two letters picked without replacement from mmmtiiiiitmtiiii. Give prob of picking 2 i.
3/10
Two letters picked without replacement from {t: 9, o: 2, r: 1, z: 1}. Give prob of picking 2 t.
6/13
Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {p: 2, a: 1, u: 10, f: 1, w: 3}.
1/68
Calculate prob of picking 2 r and 1 w when three letters picked without replacement from {l: 4, w: 2, r: 5}.
4/33
What is prob of picking 4 t when four letters picked without replacement from ootthootwtoootto?
3/364
Two letters picked without replacement from ababbbbcbbqqbb. What is prob of picking 1 c and 1 a?
2/91
Four letters picked without replacement from {x: 7, w: 3, y: 1, t: 3, d: 1, n: 2}. Give prob of picking 1 t, 1 y, 1 w, and 1 d.
9/2380
Three letters picked without replacement from {e: 1, n: 4, g: 2, v: 5, r: 2}. Give prob of picking 2 n and 1 r.
3/91
What is prob of picking 1 l and 1 n when two letters picked without replacement from lcnnmttcwncltl?
9/91
Two letters picked without replacement from xotorodoododxx. What is prob of picking 1 r and 1 t?
1/91
Calculate prob of picking 1 u and 1 p when two letters picked without replacement from ecccpcup.
1/14
What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 5, u: 1, c: 11}?
55/136
Calculate prob of picking 2 m when two letters picked without replacement from ljmmmlmhxm.
2/9
What is prob of picking 1 d, 1 h, and 1 c when three letters picked without replacement from afhcacchhdfy?
9/220
What is prob of picking 2 y when two letters picked without replacement from {y: 4, q: 3}?
2/7
Two letters picked without replacement from {m: 1, k: 11, p: 2}. Give prob of picking 2 p.
1/91
Calculate prob of picking 1 d, 1 v, and 1 k when three letters picked without replacement from bkvvdvkvvvbbvk.
3/52
Three letters picked without replacement from {a: 1, z: 6, w: 3, x: 1, n: 1}. Give prob of picking 1 x, 1 z, and 1 n.
3/110
What is prob of picking 1 y and 1 z when two letters picked without replacement from {z: 5, y: 2, b: 1, m: 1}?
5/18
Four letters picked without replacement from vqxqlnt. Give prob of picking 2 q, 1 n, and 1 v.
1/35
Four letters picked without replacement from aaawww. Give prob of picking 3 a and 1 w.
1/5
What is prob of picking 1 p, 2 r, and 1 w when four letters picked without replacement from brwrpww?
3/35
Calculate prob of picking 2 e when two letters picked without replacement from {k: 14, e: 4}.
2/51
What is prob of picking 1 u, 1 g, and 1 y when three letters picked without replacement from {c: 2, i: 1, u: 1, r: 4, g: 6, y: 1}?
6/455
What is prob of picking 1 z and 2 y when three letters picked without replacement from rrrmzyryr?
1/84
What is prob of picking 2 l when two letters picked without replacement from lhlllhlh?
5/14
What is prob of picking 3 s when three letters picked without replacement from dqkysmym?
0
Four letters picked without replacement from zfeyyzeyeezeyfbz. What is prob of picking 1 f, 2 e, and 1 z?
4/91
Two letters picked without replacement from lhbnhllllhll. What is prob of picking 2 l?
7/22
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 3, i: 1, h: 1}.
3/10
What is prob of picking 1 l and 1 n when two letters picked without replacement from axlmxxmxn?
1/36
Three letters picked without replacement from ozzzzzzoozozozzzzzz. Give prob of picking 3 z.
364/969
Two letters picked without replacement from {h: 2, y: 1, b: 1, p: 1, k: 2}. Give prob of picking 1 y and 1 k.
2/21
Two letters picked without replacement from ltztu. Give prob of picking 1 t and 1 l.
1/5
Calculate prob of picking 1 p and 1 j when two letters picked without replacement from jvp.
1/3
What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, t: 1, v: 1, l: 5}?
5/18
Four letters picked without replacement from {n: 1, v: 6, p: 6, e: 5}. What is prob of picking 1 v and 3 p?
2/51
Three letters picked without replacement from cklxklxgcklcblk. What is prob of picking 3 c?
1/455
Two letters picked without replacement from zhqlhgql. Give prob of picking 1 h and 1 q.
1/7
What is prob of picking 1 w and 1 e when two letters picked without replacement from lewwewlwelweelelee?
40/153
What is prob of picking 1 u, 1 g, and 1 a when three letters picked without replacement from {x: 6, y: 1, g: 4, a: 1, u: 3}?
12/455
What is prob of picking 1 s, 1 u, and 2 h when four letters picked without replacement from {g: 6, r: 1, u: 2, s: 2, d: 4, h: 3}?
1/255
Calculate prob of picking 3 h when three letters picked without replacement from {s: 6, h: 3, t: 1, i: 3, l: 2, e: 5}.
1/1140
Calculate prob of picking 2 l when two letters picked without replacement from slssllsslssslsslss.
5/51
Calculate prob of picking 1 d, 1 f, 1 q, and 1 h when four letters picked without replacement from sfddhssdsfqdsqfsdq.
1/68
What is prob of picking 1 v and 1 h when two letters picked without replacement from eheveevheevevh?
12/91
Calculate prob of picking 2 f and 2 s when four letters picked without replacement from mmfmfmssfm.
1/70
What is prob of picking 2 t when two letters picked without replacement from tttt?
1
Four letters picked without replacement from ellhlllelllhllh. What is prob of picking 2 h and 2 l?
9/91
Four letters picked without replacement from vvvvevvevev. What is prob of picking 2 v and 2 e?
14/55
Calculate prob of picking 2 p, 1 m, and 1 i when | {
"pile_set_name": "DM Mathematics"
} |
s -12132223013 + -1?
-12132223020
In base 16, what is -e + 130a90?
130a82
In base 15, what is 683 + 586c?
6000
In base 14, what is -2134 - -448?
-1aca
In base 12, what is -9358 + -648?
-99a4
In base 6, what is -11223 + 32232?
21005
In base 3, what is 1102110220 - -22110201?
1201221121
In base 6, what is 34211 + 10001?
44212
In base 8, what is -11 + -5001230?
-5001241
In base 2, what is 11110101110 + -101001111101001?
-100110000111011
In base 11, what is 5 + 14551a79?
14551a83
In base 9, what is 3547612 - 3?
3547608
In base 13, what is 4 - -10a66089?
10a66090
In base 2, what is 11111110111011011011001 - -100?
11111110111011011011101
In base 11, what is 17 - -5a402?
5a419
In base 6, what is -35501432 + 121?
-35501311
In base 5, what is -3 - -21023122?
21023114
In base 9, what is -174 + -2162832?
-2163116
In base 2, what is -1110110110 - -110011010000100111?
110011000001110001
In base 14, what is 4 - -264642?
264646
In base 13, what is 0 + -45b276?
-45b276
In base 14, what is 5 - 66d729?
-66d724
In base 15, what is 1 + -2abc9e0?
-2abc9de
In base 11, what is 2 + -3a8829?
-3a8827
In base 7, what is -32562 - 1352?
-34244
In base 10, what is -371 - 8396?
-8767
In base 6, what is 244235201015 - -3?
244235201022
In base 12, what is 4 + -1b0b25?
-1b0b21
In base 11, what is -610 - 7768?
-8278
In base 15, what is 6c0 + -b21?
-451
In base 5, what is -444342 - -120?
-444222
In base 8, what is -1603 + 513420?
511615
In base 16, what is 1cf + f86c?
fa3b
In base 11, what is -299a - 6a4?
-3593
In base 15, what is -8e - 89b95?
-89c34
In base 13, what is -374 - -400c?
3968
In base 16, what is -44276d - 12?
-44277f
In base 16, what is -a - -27ccbe?
27ccb4
In base 2, what is -101 + 100000111001111010001001?
100000111001111010000100
In base 14, what is 18898964 + -5?
1889895d
In base 8, what is -22 + 3132174?
3132152
In base 14, what is 2 + 1c438258?
1c43825a
In base 7, what is -30242 + 4345?
-22564
In base 5, what is 0 + -2014003333?
-2014003333
In base 10, what is -2688279 - 2?
-2688281
In base 4, what is -222131 - -12200323?
11312132
In base 6, what is 4401300 - 45?
4401211
In base 16, what is -e639f - -1?
-e639e
In base 2, what is 1100110011001010 + -110101010001?
1011111101111001
In base 11, what is 106581 - a?
106572
In base 5, what is 212 - 120201?
-114434
In base 10, what is 33 + 58950?
58983
In base 5, what is -10 - -32431100?
32431040
In base 11, what is -1028 - 20210?
-21238
In base 9, what is -1 + -165644457?
-165644458
In base 7, what is -25523613 - -22?
-25523561
In base 6, what is 3 + -2035053551?
-2035053544
In base 7, what is -1021 + -214266?
-215320
In base 4, what is -1333 - 200323223?
-200331222
In base 6, what is 35 - 15050011?
-15045532
In base 8, what is 55 - 3331546?
-3331471
In base 2, what is -100011011000001000 + 1000001111?
-100011001111111001
In base 9, what is 6786 - -10076?
16873
In base 9, what is 623820 - -560?
624480
In base 6, what is -5 + 144352450?
144352441
In base 16, what is -1072843 + -14?
-1072857
In base 15, what is -2134b1 - -7?
-2134a9
In base 12, what is 3b3a9 + -389?
3b020
In base 9, what is 1711612 - 5?
1711606
In base 4, what is 213 + 23230311131?
23230312010
In base 14, what is 6 - 526d?
-5267
In base 7, what is -56654036 + -3?
-56654042
In base 11, what is 469744 - -96?
46982a
In base 4, what is 3 - 3320131213?
-3320131210
In base 10, what is -304607259 - 4?
-304607263
In base 3, what is -1100120220 + 1012?
-1100112201
In base 3, what is 0 - -202022011020?
202022011020
In base 6, what is -2 + -200130133?
-200130135
In base 9, what is 3446 + 328?
3775
In base 15, what is -1480c7 - 76?
-14814d
In base 2, what is 11001010011110011001000 + 11011?
11001010011110011100011
In base 15, what is 1eb + -57a51?
-57855
In base 5, what is 132320 + 10020341?
10203211
In base 7, what is 1643640402 - 0?
1643640402
In base 4, what is 10 + 112023303002010?
112023303002020
In base 7, what is 422003340 - 4?
422003333
In base 2, what is 1101000101010110000 - -110?
1101000101010110110
In base 14, what is -97 - 158d35?
-158dcc
In base 16, what is acd08 + -11c?
acbec
In base 4, what is 233323331023 + -1?
233323331022
In base 11, what is 8249779 + 2?
8249780
In base 6, what is 440141 - 510?
435231
In base 3, what is -12 + -210101212020?
-210101212102
In base 15, what is 492da4 - -1?
492da5
In base 14, what is 6a + -41b9b?
-41b31
In base 11, what is -7 + -56212549?
-56212555
In base 14, what is 85 - -a08bb1?
a08c56
In base 8, what is 4 + -1357331627?
-1357331623
In base 4, what is 102212 - -23021203?
23130021
In base 9, what is 4 + 2758844?
2758848
In base 8, what is 102477324 + -6?
102477316
In base 16, what is -27c - -e9f?
c23
In base 15, what is 1a + -d6d2?
-d6b7
In base 6, what is -3 + -220051100?
-220051103
In base 8, what is -410573050 - 0?
-410573050
In base 7, what is 0 - -125453611?
125453611
In base 12, what is 30 + b3022a?
b3025a
In base 4, what is -121121330102 - 132?
-121121330300
In base 16, what is 674f + 76?
67c5
In base 11, what is -6aa7 + -2566?
-9562
In base 6, what is -31511444455 + -3?
-31511444502
In base 6, what is -213023434 + 441?
-213022553
In base 15, what is -2 - -124d8a?
124d88
In base 7, what is -56 - -410555?
410466
In base 13, what is -527c + 4562?
-a1a
In base 2, what is -1 + -11101100011111100101011?
-11101100011111100101100
In base 7, what is -10310 - -546?
-6431
In base 8, what is 5 - 3412061?
-3412054
In base 12, what is -64791b + 32?
-6478a9
In base 4, what is 3 - -210132322333?
210132323002
In base 9, what is 722 - 43160?
-42337
In base 10, what is -2 + 5267601?
5267599
In base 16, what is 13f0c + 143?
1404f
In base 12, what is -1005784 - -33?
-1005751
In base 2, what is -101 + 100011000001100000101?
100011000001100000000
In base 14, what is -23ddb - 7d4?
-247d1
In base 15, what is 41 - 6a107?
-6a0b6
In base 12, what is 5413 + -249?
5186
In base 8, what is -3 + 436130204?
436130201
In base 3, what is 2022002122012 + 21?
2022002122110
In base 5, what is -3132 - 11024444?
-11033131
In base 14, what is -2998b - 321?
-29cac
In base 14, what is 662804 + 8c?
662892
In base 11, what is -2547393 + a1?
-25472a2
In base 8, what is 4446656 + 1003?
4447661
In base 2, what is 10 - 1101010110001001000?
-1101010110001000110
In base 12, what is -330b - 1221?
-4530
In base 14, what is 47d7 + -32a?
44ab
In base 8, what is 30 - 11421153?
-11421123
In base 13, what is 3 + 2c769a25?
2c769a28
In base 4, what is 22011332 + 113?
22012111
In base 13, what is -440 - 10b93?
-11303
In base 8, what is -37 - 62226?
-62265
In base 10, what is 1193 + 3601?
4794
In base 7, what is -4 + -2116011?
-2116015
In base 2, what is 11001111000010111010000 + -1?
11001111000010111001111
In base 14, what is -5 + -a954c8d?
-a954c94
In base 16, what is -4958ff - -1?
-4958fe
In base 11, what is 26826 - 9a9?
25928
In base 2, what is 100100101 + -100101001111011?
-100100101010110
In base 5, what is -140 - 10130021331?
-10130022021
In base 8, what is 7614 + -42740?
-33124
In base 13, what is -6 - -a55919?
a55913
In base 12, what is -913 - -4385?
3672
In base 3, what is 222210020 + 10?
222210100
In base 5, what is -3020322030 + -33?
-3020322113
In base 11, what is -2070533 - -7?
-2070527
In base 12, what is 26bb998 - -4?
26bb9a0
In base 6, what is -3 - -1240545021?
1240545014
In base 8, what is -123157462 + -2?
-123157464
In base 2, what is 11001100100011001 + 1?
11001100100011010
In base 12, what is -1 + 4053612?
4053611
In base 9, what is -43566071 + 2?
-43566068
In base 5, what is -203423 - 1430130?
-2134103
In base 2, what is -100001110101000101001010 + 1001?
-100001110101000101000001
In base 8, what is 73 - -20371342?
20371435
In base 9, what is -8727 - 201838?
-211666
In base 12, what is -58bb388 - -3?
-58bb385
In base 13, what is -15 + 32cb21?
32cb09
In base 8, what is 671677 - 163?
671514
In base 8, what is 5 - -10042517?
10042524
In base 7, what is -562116342 + 1?
-562116341
In base 2, what is 110011101110 + 111100011111000110?
111101010010110100
In base 11, what is 0 + -29019741?
-29019741
In base 14, what is -925d5 - 5c?
-92653
In base 4, what is 210123 - -311301120?
312111303
In base 12, what is 2 + 10083b5?
10083b7
In base 3, what is 1000210020020 - 102000?
1000202211020
In base 10, what is -122093 + -892?
-122985
In base 6, what is -125 | {
"pile_set_name": "DM Mathematics"
} |
((-1285)/1542)*(-54)/(-24).
9/5
(38/19*-19)/(13/(-26))
76
Calculate (-132)/(-14)*(12/46)/(10968/220731).
99/2
What is ((-3250)/975)/(5/63)?
-42
What is the value of (-6)/16*117232/(-3978561)?
2/181
What is ((-1)/4)/(-369*(-114)/(-2052))?
1/82
Calculate (-14)/10*-1*1*-31*(-57)/1767.
7/5
Calculate (-7248)/(-12080)*275/3.
55
Evaluate ((-28)/(-30))/((-1863)/27945).
-14
Evaluate (6/15)/((-27)/(379215/(-106))).
53
Calculate 3744/(-182)*((-560)/24)/5.
96
What is ((-28)/133)/((-765)/203490)?
56
What is 1281/(-154)*(-2552)/348?
61
((-11)/(957/(-58)))/(6/(2088/(-4)))
-58
What is (2/5)/((-30834)/(-7785585))?
101
What is (2/98)/((36907/72478)/221)?
62/7
What is the value of (-21*(-220)/8085)/(4/((-1120)/(-5)))?
32
((-1275)/34)/25*(12/(-2))/((-40)/4)
-9/10
What is (3/(-10))/((-15865)/8350)?
3/19
((-5)/(-2))/(31500/(-46800))
-26/7
What is the value of (-3)/(81/(-9))*3*96/464?
6/29
What is the value of (21/(-189)*(-15)/(-3))/(-3*1/(-63))?
-35/3
Calculate 2*(-37)/(-518)*301.
43
What is the value of (43/688*-1)/(23/32752)?
-89
What is the value of ((-1886)/(-23))/((-146)/73)?
-41
Evaluate ((-24)/(-28))/((2/126)/(50/300)).
9
6*14/42*-2*92/48
-23/3
What is 1/109*1*(-22)/(-66)*-3?
-1/109
What is -50*(-7)/(-462)*4/(960/(-72))?
5/22
What is the value of (-1)/(4/(-10))*-2*(-34400)/(-3440)?
-50
What is 3/1*(-46256)/(-4956)?
28
(7/21)/((1175/(-285))/47)
-19/5
What is the value of ((-9)/20)/((-9)/15)*252*(-8)/24?
-63
What is the value of (-7)/((-42)/(-36))*(-42)/((-1680)/(-100))?
15
What is the value of ((-7)/(343/7))/((-1794)/9660)?
10/13
11/54*(-1600)/4400*18/(-10)
2/15
Evaluate 2/(14/105*2145/2288).
16
Calculate 38/(-5)*(3/3)/((-36)/3780*14).
57
Evaluate (460/161)/(286/7)*5/25.
2/143
(((-2)/(-4))/(-1))/((-1958)/(-50908))
-13
Calculate (-168)/(-42)*(-2)/(-28)*112/128.
1/4
Evaluate ((-1809)/(-108))/(((-200)/(-32))/(-25)).
-67
Calculate (1280110/195)/(-229)*(-18)/(-12).
-43
What is the value of ((-1)/(-7))/(((-1352)/819)/(-26))?
9/4
(57*90/5700)/((-57)/(-15)*3)
3/38
Evaluate ((-90)/(-1044))/((-32)/(-128)*50).
1/145
What is ((-9)/(-1))/(40/(360/9))?
9
What is the value of 1/5*0/806?
0
Evaluate 3*(-3)/(-63)*(-19672)/(-12295)*(-2)/4.
-4/35
What is the value of (((-76)/(-57))/((350/1215)/(-5)))/((-8)/28)?
81
(81/(-756))/(1300/728)
-3/50
Calculate (-2)/16*-4*-11*(-34)/(-55).
-17/5
Evaluate 11/((-66)/162)*(104/(-8))/13.
27
Evaluate (-24)/45*-27*(-225)/(-7290).
4/9
What is the value of (-20*-15*38/570)/22?
10/11
Calculate (5/(-25)*(-90)/12)/((-162)/6372).
-59
Evaluate (-108)/(-612)*391/1794*2/(-1).
-1/13
Evaluate (((207/23)/9)/(5/82))/(42/(-105)).
-41
What is the value of (-1)/(-1027*1/(-13))*-4*(-1)/6?
-2/237
What is the value of ((-22)/2)/(3/(-21)*266/(-304))?
-88
((-25)/(-75))/(-3*3/(-204)*246/(-1107))
-34
What is the value of (5/24)/(15990/(-9594))?
-1/8
What is the value of (117/((-3744)/8))/(82/16*2)?
-1/41
Calculate 105/25*((-2)/8)/(942/(-6280)).
7
Calculate ((-14)/(-33))/((-1430)/5148)*(-45)/(-18).
-42/11
Calculate ((-16)/(112/(-21)))/((-3350)/20*3/5).
-2/67
Calculate ((1256/(-471))/((-32)/(-28)))/((-7)/(-30)).
-10
Evaluate (31/((-775)/125))/((-315)/2016).
32
What is ((-4)/112)/(-3*15/11160)?
62/7
Evaluate (((4224/48)/1408)/(2/24))/((-6)/424).
-53
((-10)/(-63))/(5160/(-14448))
-4/9
What is the value of (10/210*21)/((-5)/(-1)*(-13)/39)?
-3/5
Calculate 5/(-10)*(-22)/20*(-45)/(-18)*-4.
-11/2
Calculate ((216/330)/9)/(-2*(-7)/(-140)).
-8/11
What is 36*(-3)/(-480)*-84*(-212)/3339?
6/5
((-4)/(-54))/(16/6)*2144/(-1206)*3
-4/27
Evaluate (20/(-60))/(17/(-663)).
13
8*-1*((-15)/84)/((-310)/(-651))
3
What is the value of (-315)/20*(-576)/336?
27
Calculate 2/((-8)/38)*36/558*62.
-38
What is (-2)/(50/15)*182/4*6550/4585?
-39
Evaluate (-567)/(-3)*705/34545.
27/7
Calculate ((50/(-1200))/((-23)/23))/(3/(-12)*-1).
1/6
Calculate (-90)/6375*-17*(-10)/(-4)*2*30.
36
Evaluate (53724/(-12342))/(24/(-51)).
37/4
What is (((-4862)/(-2992))/(1/(-4)))/((-2)/(-16))?
-52
Evaluate (-156)/(-9)*783/(-348).
-39
Evaluate 112*41/((-6888)/(-48)).
32
Calculate (9324/(-60))/(357/255).
-111
Calculate 1*13*-1*(-1)/((-9)/(-9)).
13
Evaluate (14/196*-8)/(8/(-72)*4).
9/7
(-13)/(260/(-9040))*9/54*(-3)/2
-113
What is (45/6*188/235)/((-170)/(-17))?
3/5
What is ((-368)/115)/((-34272)/9945)?
13/14
What is the value of ((371/(-1))/((-6118)/(-1748)))/(1/1)?
-106
Calculate (-3)/(-6)*17/(-51)*186.
-31
Evaluate (54512/(-68140))/((-92)/10).
2/23
3*(-35)/180*(152/(-228))/((-21)/(-9))
1/6
What is the value of 72441/(-75124)*(-1)/(-9)?
-3/28
Evaluate (-3*(-68)/765)/((-8)/(-8)*1/25).
20/3
((-60)/(-9))/(((-16)/(-42))/((3190/77)/29))
25
What is the value of (2/2*-1)/(96/10272)?
-107
What is ((-64)/55104)/(7/98)?
-2/123
Evaluate ((-2)/4)/(((-6)/(-384)*-2)/(51095/(-7432))).
-110
What is the value of 16/(-18)*-28*2322/1704864?
2/59
Calculate -74*(8/160*-6)/(39/(-130)*2).
-37
What is 2464/224*(-390)/1155?
-26/7
Calculate (4/14)/(((-34)/595)/((-392)/(-105))).
-56/3
Calculate (-210)/(-315)*(-24)/2368*2*2*2.
-2/37
What is the value of (-20*5/20)/(5/20*-12)*3?
5
What is ((-367367)/182)/(-367)*(-8)/(-4818)?
2/219
Calculate ((-26)/(-650))/(4/25*70/(-84)).
-3/10
What is (-37)/(207829/(-548))*738?
72
Evaluate ((-2)/24)/(45*20/7200)*9/(-8).
3/4
Evaluate (3430/(-18865))/(30/44).
-4/15
Calculate ((-96)/(-60))/(328/451).
11/5
Calculate 1*8*(-17226)/5925744.
-1/43
Calculate ((180/(-35))/6)/(10/(-21)*(-1356)/1130).
-3/2
What is the value of (49/(-8))/((-295)/(-2360))?
-49
Evaluate (682/186)/(((-2)/4)/((-26)/(728/210))).
55
((-8)/(-272))/((-369)/(-1216962))
97
Evaluate ((35/((-1260)/54))/30)/(3/(-16)*2).
2/15
(468/28)/(-9)*(-2)/(-5)*42/(-12)
13/5
What is -57*(-19)/(-304)*-88*2/(-11)?
-57
What is ((-8024)/(-18054))/((-2)/(-135))?
30
What is (4986/23268)/(4/10*(-2280)/(-64))?
2/133
What is ((-50)/1500)/((-9)/(-54))*-10?
2
What is the value of (50/81000*-16)/((-1)/(-5))?
-4/81
Evaluate (408/222)/((-5666)/104821).
-34
Calculate ((-20)/(-75))/((-18)/45)*2*33/(-341).
4/31
What is ((-51)/((-6936)/85))/(2/(-8))*200/(-90)?
50/9
Calculate -87*16/(-24)*2/(-4)*224/224.
-29
Evaluate ((-2)/(-12))/((-4443)/11848*4/3)*183.
-61
What is the value of (17*120/(-304980))/((-14)/91)?
1/23
What is the value of (-16)/(-40)*(-85)/6?
-17/3
What is (30/36)/(1965/(-30654))?
-13
Evaluate 1/2*60/18*16/(-880).
-1/33
What is the value of (26*(-81)/4212)/(3/(-510))?
85
Evaluate (-3)/(((-2)/16*2)/(48/(-128))).
-9/2
What is ((-10)/4)/(84/840)?
-25
What is the value of 10672/48*909/2929?
69
Evaluate 33/(((-931)/(-147))/19).
99
Calculate 4*72/(-80)*(-3)/((-12)/(-80)).
72
What is -18*(-12)/2916*(-78)/1846*-9?
2/71
Calculate 7/133*(-1072)/((-1809)/(-27)).
-16/19
Calculate 110/(-44)*468/585.
-2
What is ((-66)/110)/(2/(-20)*-63)?
-2/21
172/(-6)*((56/21)/(4/(-18)))/(-4)
-86
What is the value of 24/(-160)*14/63*-1*1?
1/30
Evaluate 1/1*2303/(-89817).
-1/39
What is the value of (-1968)/5248*(-192)/9?
8
((-8)/(-5))/((-2296)/14350)
-10
What is the value of (241046/219)/254*2/(-39)?
-2/9
Calculate 4/9*42138/346468.
2/37
Evaluate (-321)/(-107)*1/(-2)*282/9.
-47
105/27*498/(-1245)
-14/9
Evaluate 8/20*(-15)/((273/9)/7).
-18/13
What is ((-10)/(-43))/(7544/(-324392))?
-10
(1/1)/(5505/346815)
63
What is the value of 5/(-4)*(-9288)/774?
15
What is the value of ((-48)/(-15))/((12/(540/15))/(-5))?
-48
What is the value of ((60/36)/(4/(-3)))/(1/(-56)*65)?
14/13
What is (-2)/(106/35351*-23)?
29
Calculate (7452/(-72))/(-69)*26*-1.
-39
What is the value of 117/54*192/416*52?
52
Calculate (140/(-175))/(4/420)*(-2)/(-12)*3.
-42
Evaluate (((-68)/6)/(-17)*-72)/((-10)/(-5)).
-24
What is 103*-1*209*2/418?
-103
Evaluate (385/(-880))/((-10)/(-160))*32/7.
-32
Calculate ((-32)/(-80)*(-8)/(-28))/((-6)/21).
-2/5
((3/1)/(-12))/((4/(-1012))/((-708)/649))
-69
((-15)/(-24)*-2)/(120*19/2736)
-3/2
What is the value of ((-16)/10)/(((-3)/((-21)/(-2)))/((-13600)/(-19040)))?
4
Calculate 2*1/6*11886/15848.
1/4
What is the value of (1764/1800*-10)/((-4)/(-5))*-4?
49
What is ((-117)/(-273)*7)/(-8)?
-3/8
What is 7854/2856*8/(-2)*1?
-11
What is (-134505)/80703*(-9)/(-19)?
-15/19
((3888/189)/24)/((-9)/9*52/(-14))
3/13
What is the value of (29868/(-266))/(51/(-357)*6)?
131
What is the value of ((-120)/105)/((-4)/14)*32/(2944/(-2093))?
-91
What is 24*(-10)/70*(-252)/54*(-24)/32?
-12
(((-112)/(-60))/14)/(25/(-2500)*-6)
20/9
((-572)/(- | {
"pile_set_name": "DM Mathematics"
} |
ger: s or 6?
6
Let m = -126 + 127. Let w be (3 - 2)*16/14. Which is smaller: w or m?
m
Let q = -2/7495 + 15024/127415. Let d be -1 + 3 + 0/(-3). Which is greater: d or q?
d
Let j = -13 + 13. Let f be 18/(-72)*(j - 0). Is 2/213 less than or equal to f?
False
Let t = -14 + -84. Is t less than -99?
False
Let z(r) = r**3 - 2*r**2 + 17*r - 85. Let u be z(4). Let s be ((-6)/5)/(8/(-20)). Which is smaller: u or s?
s
Let m(b) be the second derivative of -b**4/6 - 5*b**3/3 - 9*b**2/2 - 2*b. Let f be m(-6). Let l be f/18 - (-6)/9. Which is smaller: 4 or l?
l
Let f be 1/((-1)/(-2 + 1)). Let b = -25.972 + -0.028. Which is smaller: f or b?
b
Suppose -2*k = 3*k. Let p(d) = d**3 - 6*d**2 - 5*d - 20. Let b be p(7). Let g be b + (-1 + k)*-4. Is g greater than 0?
False
Let x = 0.082 - 0.482. Does x = -56?
False
Suppose 3*g - 72 = 99. Suppose 8*r + g = -127. Which is greater: -24 or r?
r
Suppose 25 = 5*a + 3*v, -2*a - v - 1 = -5*a. Suppose -3*s = -a*g + 13, -3*g - s = -0*s + 8. Are g and -0.1 non-equal?
True
Let c = -3/5524 + -143543/149148. Let z = c + 289/216. Is z > 0.3?
True
Suppose -8*l - 228 = -44. Which is smaller: l or -25?
-25
Suppose 5*d - 9*d - 40 = 0. Let b(i) = -i - 23. Let a be b(d). Let v = -9 - a. Do 2 and v have different values?
True
Suppose -2*f + 5*j = 2*j + 8, 8 = -2*f - 2*j. Let x = 9 + -10. Let y be (x/(-38))/((-1)/f). Is y bigger than -1?
True
Let k(y) = -2*y + 33. Let d be k(5). Suppose 0 = 4*v + 19 - d. Let o = 137 - 953/7. Which is bigger: o or v?
v
Let k be ((-9)/(-135))/((-2)/(-12)). Is -0.1 >= k?
False
Suppose 5*v + 10 = 3*v, -747 = -3*b + 3*v. Suppose -a + w - 2 = 0, w = -3*a + 6*w - 6. Let g be b/(-348) - a/3. Which is bigger: g or -1?
g
Let u(s) = 2*s - 62. Let r be u(12). Suppose 0 = 2*o + 3*o + 195. Which is greater: o or r?
r
Suppose -3 = 21*m + 18. Is -8 at most m?
True
Let o = -11/7 + 69/35. Let p be 1 + (-12 + 3)*-1. Let a = 21/2 - p. Is o greater than or equal to a?
False
Let x = 10/19 - 108/133. Which is smaller: 166 or x?
x
Suppose 0 = 2*t + 289 - 19. Let r be (0 - (2 + -5)) + t. Let q be (r/(-11))/(2*1). Is q smaller than 3?
False
Let h be 574/((9/(-6))/((-15)/20)). Let n be 5/(-35) - (-62)/h. Is n < 0?
False
Let o = -2 - -5. Suppose 0 = o*r - r + 2. Let y be 3/(-12) - (-1)/(-4). Is y at most as big as r?
False
Suppose 0 = -2*u - 7 - 5. Let s(t) = -t**2 - 6*t. Let v be s(-5). Suppose -3*b = -l + 5, -39 = v*l + 4*b - 3*b. Which is smaller: u or l?
l
Let n(x) = -x**3 + 5*x**2 + 14*x - 4. Let a be n(7). Let w be -2 + 2 + (-10 - a). Is w at least as big as -14/3?
False
Let o be 6/(-10) - (-1 + 85/25). Let t be (3 + -4 - o/2)/14. Are -0.1 and t equal?
False
Let m = -11.02 - -11. Let y = -0.01 - m. Let c = -0.51 + y. Which is smaller: c or 2?
c
Let o = 1310/279 - 87/31. Which is greater: o or 3?
3
Let v = -227 - -371. Suppose -v = -9*z + 522. Which is bigger: z or 73?
z
Let t be (-5291)/52 - (-3)/(-12). Which is bigger: -107 or t?
t
Let b be (-3)/(-9)*3 + 8. Suppose -d + 6 = 3. Which is smaller: b or d?
d
Let s = -6.5 + -0.5. Let u = -38 - s. Which is greater: -2/5 or u?
-2/5
Let k = 6.04 - 0.04. Let g = 5 - k. Which is smaller: g or 4?
g
Let t = 3 + -3.04. Let a = 0.1 + t. Let b be -2*(0/1 + (-1)/(-2)). Which is bigger: a or b?
a
Suppose -3*w + 10 = 4*v + v, v + w - 4 = 0. Let k be ((-42)/24 - (-3)/(-12)) + v. Which is smaller: -5 or k?
-5
Let c be 1404/39*((-14)/(-8) + -1). Which is bigger: c or 25?
c
Suppose 55 = -t + 6*t. Suppose 42 = 4*k - 5*j, 18 = 2*k + 2*j - 6*j. Let l = t - k. Which is smaller: l or -4/3?
l
Let d be 198/2475 - (602/25 + 1). Is d less than -16?
True
Let r(h) = 1 + 0 - 2 - 173*h. Let t be r(4). Let j be (-352)/t + (-4)/14. Which is smaller: 1 or j?
j
Let l be (-250)/123 - (20/5 + -6). Which is greater: -1 or l?
l
Let f be 1*(-1 + (0 - -7)). Let a(d) = -d + 6. Let m be a(f). Suppose -9 = -g - 5*z + 15, m = -5*z + 20. Which is smaller: 5 or g?
g
Suppose 4*p + 4*j = 8, -4*p + 9 = j + 7. Which is smaller: 1/24 or p?
p
Let l(k) = -k**3 - 7*k**2 - 4*k + 1. Let z be l(-6). Let n = -13 - z. Let d be n/6 - 5/(-33). Which is smaller: d or 4?
d
Let k(r) = r**3 + 4*r**2 + 5*r - 11. Let h be k(-5). Let q be ((-11)/(-22))/(h/(-4)). Which is smaller: q or -1?
-1
Let x = -47 - -7. Let q = -25 - x. Suppose 3*y - 3 = -q. Is y at least as big as -4?
True
Suppose 4*g - 18 = -0*g + 2*p, 2*g + 3*p = -11. Suppose 2*l + g*l = 0. Suppose -f = -13*b + 12*b + 4, -3*b - f = 0. Is l <= b?
True
Let p = -25008/481 + 678/13. Is p smaller than 1?
True
Let t = -0.9587 + -0.0413. Let k = -2.5 + 0.5. Let j = k - -2.4. Which is smaller: t or j?
t
Let u = -1.726 + 1.926. Let a = 0.09 - 0.01. Which is smaller: u or a?
a
Suppose 0 = 5*x - 5*a - 85, 3*a - 5 - 19 = -2*x. Suppose 0 = -2*p + 5*p - x. Suppose -1 = 2*n + d - 0, -p*d = n + 23. Is n <= 3/5?
False
Suppose 0 = 2*q + v - 3, q + 3*v + 7 = 3*q. Suppose q*l - l = -2. Suppose -4 = 5*c - 3*y - y, -3*c - 3*y = 24. Is l != c?
True
Let h(x) = -x - 7. Let c be h(-6). Let u = -330/1807 - -4/139. Which is greater: c or u?
u
Let j = 21 + -21. Let f = 17 + j. Let x = f + -16. Which is bigger: -0.12 or x?
x
Suppose 100 = 3*m - 2*i + 6*i, 0 = -m - 3*i + 35. Let u = -31 + m. Do u and 6 have the same value?
False
Suppose -5*k = w + 4*w - 10, -2*k + 2*w = 0. Let s be (1/(-2 + 46))/(k/2). Which is greater: 1 or s?
1
Let n = -369 - -384. Let p = 2.1 + 0.9. Which is greater: n or p?
n
Let a be 1*-1 + (-10)/2. Let j(x) = 7*x**2 + 139*x - 26. Let i be j(-20). Is a bigger than i?
False
Let v = 6 + -4. Let s = -135/7 - -738/35. Is v greater than s?
True
Let u = -382 - -390. Which is smaller: 34 or u?
u
Suppose 2*t - 6*t - 12 = 0. Let z be ((-85)/15)/((-1)/t). Let o = z - -25. Is o greater than 1?
True
Let p = 1672 + -1673.67. Which is bigger: p or -0.4?
-0.4
Suppose 5*q - 4*q = 5, -2*x + 2*q = 12. Which is smaller: x or -5/24?
x
Suppose -4 = -i, -i - 42 - 224 = 5*y. Do y and -53 have different values?
True
Let m be (5 + -4)/(((-4)/37)/(-4)). Which is smaller: 41 or m?
m
Let x = 1391/18 - 883/9. Which is smaller: -20 or x?
x
Let t = -58 - -83. Suppose -3*f - 2*f = t. Let s be ((-6)/(-27))/((-80)/180). Is s greater than f?
True
Suppose -8 = -y + g + 4*g, -4*y + 3*g = -15. Let p be ((-6)/27)/(-1) + (-32)/(-18). Suppose -2 = 4*j - p*v, 5 = -j - 3*j + 5*v. Which is bigger: j or y?
y
Let n = 1.6 - 4.7. Let z = -3 - n. Which is smaller: z or 5?
z
Suppose -j - 5*d - 45 = -85, 0 = -5*j + 4*d + 113. Which is smaller: j or 26?
j
Suppose j - 28 = 5*j. Let s = j + 12. Let c = 4.9 + -5. Which is greater: c or s?
s
Let q be (-1*13)/((-4)/(-8)). Let v = q - -209/8. Suppose 5 = 2*h + 7. Is h greater than or equal to v?
False
Let w be (-1809)/450 - (-8)/2. Let r = w - -107/350. Is 5/3 at least r?
True
Let s be (-1)/((-8)/(-6)) + 1. Let j = 5 + -3. Let o be j/4*(-6 + 4). Which is smaller: o or s?
o
Let y(r) = -5*r**3 - 3*r**2 - 5*r - 2. Let m(j) = -j**3 - j**2 - j - 1. Let t(k) = -6*m(k) + y(k). Let w be t(-3). Let f = w - 11/13. Which is greater: 1 or f?
1
Let t = -65 - -75. Let g be (-1)/2 + 38/4. Let n = t - g. Is 2/3 < n?
True
Let o be (-1 - (-1997)/(-1245)) + -2. Let d = -1/249 - o. Let h = -130 - -134. Which is greater: d or h?
d
Suppose 41 - 5 = 9*b. Let q(p) = 2*p - 12. Let h be q(7). Suppose -h = -r + 2. Is b greater than r?
False
Let a = 2744 + -2743.9. Which is smaller: 0.516 or a?
a
Let j(c) = -4*c**3 - 3*c**2 + 4*c - 12. Let b(g) = g**3 - g**2 + g. Let r(t) = -5*b(t) - j(t). Let h be r(7). Which is smaller: h or -3?
-3
Let v = 4.05 + -0.05. Let t = v + -3.9. Let y = 0.098 - 3.098. Which is bigger: t or y?
t
Suppose 5*s - 310 = -3*a, 0 = -4*s + 2*a - 4*a + 250. Let g be 10/s*(1 - 2). Which is smaller: g or -1?
-1
Let h = 1.13 + 0.07. Let t = h - 0.5. Let n = t + -0.8. Is n at least as big as -0.5?
True
Let h = 106 + -107. Do -11 and h have the same value?
False
Let v = 1.2 + -0.2. Suppose 4*l + 4*f + 72 = 0, -14 = l - 4*f + f. Let a = l - -19. Are a and v unequal?
True
Suppose 0 = 4*j + j - 10. Let l be 72/16 - 1/j. Let d(i) = i**2 + 4*i - 6. Let q be d(-6). Which is greater: l or q?
q
Let i be 2 - (-10)/((-70)/21). Which is bigger: 9/64 or i?
9/64
Let b be 1/(0 + -1) - -15. Let s be (-1)/(1/b) + 0. Let i = s - -12. Which is greater: -8/7 or i?
-8/7
Let x be 26/(-7) - (-48 - -52). Which is greater: -9 or x?
x
Le | {
"pile_set_name": "DM Mathematics"
} |
et p = -23 - -62. Let j = p - -148. Let u = j + -127. Does 17 divide u?
False
Let v = 32 - 29. Suppose 112 = 5*s - 3*h, -2*s + v*h - 8 = -3*s. Does 20 divide s?
True
Let p(k) = -k**2 + k - 1. Let r(f) = -2*f**2 + 21*f + 14. Let u(l) = 4*l - 1. Let q be u(1). Let d(n) = q*p(n) - r(n). Is 5 a factor of d(-16)?
True
Suppose -190 = -5*a + 190. Suppose 7*k - 932 - a = 0. Is k a multiple of 27?
False
Is 2/5 - 61512/(-220) a multiple of 40?
True
Does 4 divide 17/(-153) - (-5295)/27?
True
Does 5 divide (-7)/3*20/(-6)*9?
True
Let s = 53 + 14. Suppose -s = 2*f - 15. Does 13 divide (-20)/(-2)*f/(-5)?
True
Suppose 24*a = 6169 + 2903. Is 9 a factor of a?
True
Let x = 456 + -296. Is 18 a factor of x?
False
Let x(y) = -321*y - 27. Does 6 divide x(-2)?
False
Does 18 divide 545 - ((5 - (-13)/(-1)) + 3)?
False
Let h(a) = 8*a + 352. Is h(0) a multiple of 22?
True
Suppose -4*w - 4*k = -27 + 203, 0 = 4*w - 2*k + 200. Let t = w + 85. Is 12 a factor of t?
False
Suppose 504 = 23*v - 14*v. Does 12 divide v?
False
Suppose -22 = -s - 4*m, 6*m - m - 21 = 2*s. Suppose 0 = -4*x - 61 - 31. Let r = s - x. Is r a multiple of 7?
False
Suppose 3*k - 4*r = 31, 2*k + 4*r + 6 = -0. Suppose 0 = k*i + 613 - 1773. Suppose 5*h = -5*g + 290, i = 4*h - 0*h - g. Is 29 a factor of h?
True
Suppose -2*l + 12 = 2*l. Let s be l/(-12) - 114/(-8). Let a = s - 2. Is 4 a factor of a?
True
Is 13 a factor of (-3)/(10/((-38640)/18))?
False
Is 64 a factor of (191/(-12) + (-31)/(-124))*-21?
False
Suppose 2*a - 6*a = -2*i + 118, -325 = -5*i - 5*a. Is 4 a factor of i?
False
Suppose -3*b = 11 - 2027. Suppose b = 5*r + 3*r. Is 6 a factor of r?
True
Suppose -54*j + 52*j = 180. Is 18 a factor of -2 + 5 + (-2)/(12/j)?
True
Suppose -4*n = -8, 2*j + 0*j - 5*n = 62. Let y(g) = 52*g**3 - g**2 - g + 1. Let r be y(1). Let d = r - j. Is 7 a factor of d?
False
Is (9360/150)/((-12)/(-400)) a multiple of 26?
True
Let y(p) = p. Let n(j) = j**2 + 7*j + 16. Let i(d) = -n(d) - 5*y(d). Let t be i(-10). Does 5 divide (2 - t)/((-3)/15)?
True
Suppose 5*p + 40 = -5*k, -3*k - p - 14 = -0*p. Is 12 a factor of (k + -9)*(6 + -2)/(-2)?
True
Is (1 - (13 - 442)) + -12 a multiple of 22?
True
Let y(a) = -a**2 + 12*a - 9. Let w be y(11). Does 13 divide w/9 + (-4)/18 + 87?
False
Let c(a) = 10*a**2 + 10*a - 13. Is 21 a factor of c(-15)?
False
Let t(b) = 48*b + 120. Does 28 divide t(8)?
True
Suppose -28*q = -23*q - 1685. Let d = q - 222. Is 23 a factor of d?
True
Suppose -6*d - 10270 = -32*d. Is 5 a factor of d?
True
Let w(q) = q + 2. Let k be w(2). Let z = 146 - 152. Does 4 divide ((-28)/k)/(3/z)?
False
Suppose 3*a + 0 = 6, -5*h - 3*a + 19156 = 0. Is h a multiple of 10?
True
Let o be 5 - ((5 - (0 - 0)) + -2). Suppose o*t + 2*t + 5*b = 158, -2*t + 5*b + 64 = 0. Is t a multiple of 3?
False
Let t(a) = 15*a**2 + 9*a. Is 33 a factor of t(7)?
False
Suppose k = -5*q + 378, -2*q - 612 = -k - 206. Is 10 a factor of k?
False
Let j(p) = 13*p**2 + 14*p + 49. Is j(-5) a multiple of 19?
True
Suppose -47 + 11 = -2*l - 3*p, 3*l - 5*p - 92 = 0. Is 24 a factor of l?
True
Let o be (58 + (2 - 7))/1. Suppose -o*n + 49*n = -28. Is 7 a factor of n?
True
Suppose 896*z - 19800 = 890*z. Is 15 a factor of z?
True
Suppose 40*w - 33*w - 602 = 0. Does 11 divide w?
False
Let q(l) = -l**2 - 9*l - 10. Let g be -10 - -1*6/2. Let h be q(g). Suppose 0*z + 3*z - 4*x = 52, -5*z + h*x = -100. Does 12 divide z?
True
Suppose -4*z - 7708 = -3*i, -3*i + 50*z + 7702 = 52*z. Does 12 divide i?
True
Let c = 13 + 31. Let v(b) = -b**3 + b**2 - 2*b + 5. Let r be v(0). Suppose 36 = r*d - c. Does 8 divide d?
True
Suppose 7*w = 6*w - 13. Let h = 51 - w. Is 32 a factor of h?
True
Suppose 5*y + 36 = -29. Let g = 17 + y. Suppose 107 + 17 = g*u. Does 8 divide u?
False
Let c = -130 + 5. Let x = -85 - c. Is 5 a factor of x?
True
Suppose 5*i + 45 = 5*f, -4*i + 33 = 2*f - 3*i. Let t(v) = v**3 - 14*v**2 + 3*v + 21. Is 21 a factor of t(f)?
True
Suppose t - 139 = -2*t + 2*g, -4*t + 3*g = -187. Let u be (-1 + t)*16/12. Let s = u - 30. Is 13 a factor of s?
True
Suppose -q = k - 1, -q - 3*k = -2 - 1. Suppose 5*d + 55 - 285 = q. Does 14 divide d?
False
Let r(a) = a - 8. Let b be r(8). Suppose b = 4*x + x - 65. Is x a multiple of 3?
False
Let q(m) = 11*m**3 + 5*m**2 - 4*m + 7. Let k(c) = -11*c**3 - 4*c**2 + 3*c - 6. Let v(h) = -6*k(h) - 5*q(h). Let t be v(-2). Does 19 divide t*6*1/(-10)?
True
Let d be ((-2)/(-9))/((-4)/(-36)). Let u(j) = 17*j**d - 11*j**2 + j**3 - 2 + j - 6 + 7. Does 9 divide u(-4)?
True
Let f(y) = 4*y**3 + 2*y**2 - 5*y + 11. Is f(2) a multiple of 13?
False
Let k(z) = -z**3 + 27*z**2 + 14*z - 17. Is k(26) a multiple of 27?
False
Let p be (0 + (-3)/(-6))*14. Let c(t) = 15*t - 6. Let m(q) = -10*q + 4. Let s(a) = p*m(a) + 5*c(a). Is 8 a factor of s(2)?
True
Suppose -11*y + 195 = -80. Is y a multiple of 5?
True
Let p(t) = 455*t - 10. Does 36 divide p(2)?
True
Let t(d) be the second derivative of -7*d**3/6 + 6*d**2 - 6*d. Let m be t(-6). Suppose 68 = 4*s + 3*p, -4*p + m = 3*s - 4. Is s a multiple of 7?
True
Let n = -52 - -52. Is 14 a factor of (-8)/(-4 + n)*(68 + 2)?
True
Let n = -41 + 39. Let a = -2 - n. Suppose 20 = 5*w - a. Does 2 divide w?
True
Let p = -6 + 10. Let m be 127 - 12/16*p. Suppose k + m = 5*k. Is k a multiple of 10?
False
Let n(z) = -z**3 - 5*z**2 - 8*z - 1. Is 11 a factor of n(-6)?
False
Let c(m) = -25 + 9*m + 9*m - 15*m. Let x = -23 + 41. Is 8 a factor of c(x)?
False
Suppose -2*o - 5*t + 5 = 0, -o = 4*o - t - 80. Is 11 a factor of o?
False
Suppose -5*r = 4 - 24. Suppose 10 = -5*q, 3*b + 5*q = r*b - 64. Does 13 divide b?
False
Suppose -5*g - 15 = 0, 5*g - 69 = 5*f - 9. Let u = 11 + f. Is 10 a factor of (-18)/u*28/6?
False
Let l be 2/11 - (-612)/(-99). Let i be (2/(-3))/(l/(-27)). Does 15 divide 16/(-12)*i - -26?
True
Let z be -134*4/(-8) - -1. Let b = z - -87. Is 31 a factor of b?
True
Let d(t) = 3*t**3 - 6*t**2 + 4*t - 3. Let p be d(2). Let o = p - -1. Is o a multiple of 2?
True
Let x(j) = 9*j - 12. Let g be x(-9). Let b = -58 - g. Let h = 53 - b. Is 11 a factor of h?
False
Let y be 1/((-2)/(-6) - 0). Suppose -6*x = -y*x - 15. Suppose 3*n - 5 - 10 = 0, x*q = -3*n + 270. Is 17 a factor of q?
True
Let a(y) = -y**2 - 7*y - 8. Let r be a(-5). Suppose 0 = r*n + 10, 20 = -j + 6*j + n. Suppose 2*f - 3 = -j, -5*f - 25 = -h. Is h a multiple of 5?
True
Let l = 227 + -171. Does 4 divide l?
True
Suppose 2*y - 5 = -2*d + 55, 0 = -3*d + 2*y + 90. Suppose 0 = x - 2*a - 8 + 2, -a - d = -5*x. Suppose -x - 3 = -3*j. Is 3 a factor of j?
True
Let t = -103 - -1154. Is t a multiple of 91?
False
Does 11 divide (55/2)/((54/(-6))/(-18))?
True
Let m = 10 + -6. Let t be 8/3*(-9)/m. Is 358/15 + t/(-45) a multiple of 8?
True
Let u be 2*((-14)/(-4))/7. Is -3 + (30 - -5) - (u + -1) a multiple of 27?
False
Let u(a) = 118*a + 35. Let y be u(4). Suppose -3*x + 330 + y = 0. Is 11 a factor of x?
False
Let x be -7 - (-4)/(-4)*2. Let q = x + 10. Does 5 divide 20/(-8)*(q - 13)?
True
Suppose -3*q = -2*q + 2. Let n(d) = 3*d**2 - d + 6. Let p(b) = -b**2 + b - 5. Let r(w) = 2*n(w) + 3*p(w). Is 6 a factor of r(q)?
False
Suppose -2*t - 266 = -q + 796, 0 = 3*q + 4*t - 3156. Is 66 a factor of q?
True
Let q = 33 - 33. Suppose 96 = 3*z - q*z. Is 32 a factor of z?
True
Let z(m) = -71*m**3 - 4*m**2 - 10*m - 5. Let y(d) = -14*d**3 - d**2 - 2*d - 1. Let f(l) = 11*y(l) - 2*z(l). Let h be f(-2). Is 6 a factor of (10/(-6) - -2)*h?
False
Let a = -524 + 777. Is 15 a factor of a?
False
Let z(u) = -u**3 + 2*u**2 - 7*u - 8. Let j be z(-4). Suppose 0 = 2*i - 0 - j. Is 14 a factor of i?
False
Does 12 divide (463/(-3))/((-12)/9 + 1)?
False
Suppose j = -4, -3*d - 4*j + 1868 - 12 = 0. Does 26 divide d?
True
Let r = 476 - -164. Does 10 divide r?
True
Let w(i) = 267*i**2 + 288*i + 16. Does 89 divide w(-5)?
True
Let m(c) = c**2 + 4*c - 17. Let k be m(-7). Suppose 0*n + 1316 = k*n. Is 33 a factor of n?
False
Let b(h) = -3*h - 47 - 33 + 139 - 46. Does 34 divide b(-7)?
True
Let w(t) = 2*t**2 + 11*t + 7. Let v = -1 - 4. Let f be w(v). Suppose -2*a + 30 = -f. Is a a multiple of 3?
False
Let y be -2 + 2 + (-1 - -7). Suppose -6*l + 4*l + y = 0. Is 11 a factor of l - (0 + 0) - -11?
False
Let b(l) = -58*l + 5. Let u be b(7). Let a = 73 - u. Suppose 5*t + 129 - a = 0. Is t a multiple of 19?
False
Let v(l) = l**3 + 5*l**2 - 7*l - 5. Let p be v(-5). L | {
"pile_set_name": "DM Mathematics"
} |
What is the hundred millions digit of 8693085481?
6
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0
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9
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6
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7
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7
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4
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5
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8
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9
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3
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9
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4
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7
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5
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1
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8
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1
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0
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9
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0
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1
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5
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5
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9
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3
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0
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6
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2
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6
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8
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5
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5
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6
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9
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6
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2
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7
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3
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8
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1
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4
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3
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7
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3
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4
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3
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1
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0
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1
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1
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9
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1
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6
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8
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0
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0
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8
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8
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3
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2
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8
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7
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9
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4
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3
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2
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2
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6
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6
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0
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2
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1
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1
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3
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2
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8
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8
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4
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8
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9
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1
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5
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1
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8
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3
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2
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8
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0
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0
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6
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6
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2
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4
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4
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8
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6
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0
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1
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6
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0
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5
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9
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4
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6
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5
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5
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0
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5
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7
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8
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6
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7
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3
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9
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4
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3
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0
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3
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2
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8
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0
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7
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4
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7
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6
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8
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0
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4
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4
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1
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8
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2
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6
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5
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3
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2
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2
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1
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0
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8
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3
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4
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4
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8
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6
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3
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2
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5
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8
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2
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5
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9
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1
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5
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8
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3
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7
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8
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7
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2
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6
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5
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5
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2
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7
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6
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1
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1
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3
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8
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7
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8
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0
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6
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4
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8
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4
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7
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9
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1
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6
What is the ten millions digit of 10052971 | {
"pile_set_name": "DM Mathematics"
} |
+ 3 + 0)*(y + y - 4*y).
11*y - 4
Expand (-3*g + g + 0*g + (1 + 0 - 2)*(0*g + 2*g - 3*g) - 2*g + 4 - 4 + 0*g - 7*g + 0*g - g - 1 + 1)*((-3 + 3 + g)*(-1 + 3 - 1) + 4*g - 3*g - 3*g).
11*g**2
Expand (-4*q - 3 + 2*q + 2)*((4 - 3 - 3)*(1 - 3 + 1) + 4 - 8 - 9) - 2*q - 3*q + q.
18*q + 11
Expand (0*d - d - d)*((5 + 2*d - 5)*(6*d**2 - 3*d**2 + 2*d**2) + d**3 + 3*d**3 - 2*d**3 + 0*d**3 - 2*d**3 - 4*d**3).
-12*d**4
Expand (4 - 3 - 4)*(3*s**3 - 32*s**3 + 67*s**3) + (s**2 - 2*s**2 - s**2)*(2*s - 3*s + 0*s).
-112*s**3
Expand (3 + 4 - 3)*((-3*t + 2*t + 0*t)*(4*t - 5*t - 8*t) + 2 - 2 + 2*t**2).
44*t**2
Expand (-2*h + 2 - 2)*(-95 - 279 - 274 + 68).
1160*h
Expand (-3 + 1 + 1)*(f + 0*f + 2*f) + (-6 + 4 + 3)*(4*f + 9*f + 0*f).
10*f
Expand -2*r + 5 - 2*r**2 - 7 + 4 - 1 - r**2 + 1 + (4*r + 0*r - 5*r)*(-6*r + 16*r + 3*r).
-16*r**2 - 2*r + 2
Expand (0 - 2 + 0)*(-7*b**3 + 0*b**3 + 6*b**3 + (2*b - b + b)*(-1 + 1 - b**2) + 18*b**3 - 4*b**3 + 10*b**3)*(-2*b + 3*b + 0*b)*(-1 + 1 + 1).
-42*b**4
Expand (3 - 3 + m**2 + m + 2*m**2 - m + 3*m**2 - 3*m**2 + 2*m**2 + (-4*m + m + 5*m)*(2*m + 1 - 1))*(18*m**3 - 101 + 102 + 8*m**3 - 3*m).
234*m**5 - 27*m**3 + 9*m**2
Expand (n - 4*n + n)*(-3 - 2 + 3)*(-552 + 214 - 966 - 657).
-7844*n
Expand (163 + 12 + 452)*(-2*n**2 + 0 + 0)*(n**3 - n**3 + n**3).
-1254*n**5
Expand ((2*j + 2*j - 3*j)*(2 - 1 + 0) - 5*j + 0*j + 3*j)*(-239*j**4 - 17292 + 17292).
239*j**5
Expand (-2 - 4 + 2)*(-5 + 4*g**3 - 10*g**3 + 5*g**3).
4*g**3 + 20
Expand (-2*w**3 - w**3 + 5*w**3)*(-w - w + 1 + 0*w).
-4*w**4 + 2*w**3
Expand (-4 + 1 + 1)*(8*u + 37 - 37)*(2 + 5 - 5 + u).
-16*u**2 - 32*u
Expand (3*q**2 - q**2 + q**2)*(-67 + 53 - 115).
-387*q**2
Expand (-3 - 1 + 3)*((-3 + 3 - 2*v**3)*(2*v - 5 + 5) + 3*v**4 + 5*v**4 - 5*v**4 + 2*v**4 - 3*v**4 - v**4 - 5 + 5 - 8*v**4).
11*v**4
Expand (2*t**2 + 4*t**2 - 2*t**2)*(24 + 30*t - 24).
120*t**3
Expand (5*s**5 + 0*s**5 - s**5)*(49 + 26 - 32).
172*s**5
Expand (-36*s**3 + 3*s**4 + 36*s**3)*(-110 - 22 + 13).
-357*s**4
Expand -7*r**5 + 0*r**3 + 0*r**3 + (-6*r**5 - 6 + 6)*(-5 + 2 + 2).
-r**5
Expand (0 + 0*w**2 + 12 - 2*w**3 + 2*w**2 + (2*w - 2*w + 2*w**2)*(-1 - 2*w + 1))*(0*w**2 - w**2 + 0*w**2).
6*w**5 - 2*w**4 - 12*w**2
Expand -3*h + 2*h**4 + 3*h + (2*h + 1 - 1)*(4*h**3 - 3*h**3 + h**3) + (h + 5*h - 4*h)*(-9*h + 12*h + 17*h)*(7 - 7 + 7*h**2).
286*h**4
Expand (262*i**3 - 10*i**4 - 262*i**3)*(-2 - 14*i + 3*i - 6*i).
170*i**5 + 20*i**4
Expand (-q**2 + 0*q**2 - q**2)*((-10 + 4 + 14)*(-4*q - 2*q + 3*q) - 2*q + q + 0*q)*(0*q - 6*q + q).
-250*q**4
Expand ((-2 + 4 - 4)*(-1 + 2*q**2 + 1) + 3*q - 2*q**2 - 3*q - q**2 + 7*q**2 - 2*q**2)*(-21 + 21 - 16*q).
32*q**3
Expand (153 + 92 + 6)*(-3*o - 2*o + 2 + 4*o).
-251*o + 502
Expand (-2*x**3 - 2*x**3 + 5*x**3)*(-1 + 2 + 1)*(3*x - x - 3*x)*(-7 + 3 - 8)*(-16 + 22 + 10).
384*x**4
Expand (-3*t + 6*t - 4*t)*(-1469 - t**3 - 3*t**3 + 1455).
4*t**4 + 14*t
Expand (6 - 6 + 5*m)*(-2 - 1 + 5) + (-2 - 2 + 0)*(-2*m + 1 - 1) - 3*m - 2*m + 7*m.
20*m
Expand ((-s - 1 + 1)*(-3 + 0 + 2) + 4 + 2*s - 4 - 4*s - s + 4*s)*(-6*s**3 + 0*s**3 + 8*s**3 - 2).
4*s**4 - 4*s
Expand (27 - 27 + 41*p**2)*(-6 + p + p + 14).
82*p**3 + 328*p**2
Expand (-2 + 2 - u - 2*u + 0*u + 0*u - 3*u + 0*u + 2*u + (3 - 6 + 2)*(2 - 2 + u) - u - 3 + 3)*(-7*u**4 + 2*u**4 + 0*u**4).
30*u**5
Expand (-42*z**3 + 39*z**3 - 35*z**3)*(0*z**2 + z**2 - 2*z**2).
38*z**5
Expand (328*m - 327*m - 3*m**2 + 9*m**2)*(-2 + 3*m**3 + 2).
18*m**5 + 3*m**4
Expand (d - d - d)*(-3*d - 3*d + 3*d) + 9*d**2 + 55*d - 25*d**2 - 55*d - 4*d**2 - 4*d**2 + 6*d**2 + (0*d**2 + 4*d**2 - 5*d**2)*(-2 + 3 + 1).
-17*d**2
Expand 74*w**3 - 76*w**3 + 69*w**3 + (w**3 - 2*w**3 + 3*w**3)*(-3 - 2 + 4) - w**2 - 2*w**2 + 26*w**3 + 3*w**2.
91*w**3
Expand 2*c**2 - 2*c**2 + 2*c**2 - c**2 + c**2 - c**2 + (-4 + 4 + c**2)*(-6 + 1 + 4) - 2*c**2 + 3*c**2 + 0*c**2 + 17 - 17 - 8*c**2 + 48*c**2 - 40 + 40.
41*c**2
Expand (y**2 - y**2 + y**4)*(-2 + 2 + 4011*y + 4735*y - 6680*y).
2066*y**5
Expand (-u - 2*u + 2*u)*(-7 + 2 - 1)*(17 - 17 + 3*u**4 + 2*u**2).
18*u**5 + 12*u**3
Expand (-2*i + 2*i - 2*i**3)*(25 - 25 - 4*i) + (-14*i**3 + 3*i**3 + i**3)*(0*i + 3*i - i).
-12*i**4
Expand (1 + 3 - 1)*(w - 5*w + 2*w)*(-201*w - 299*w**3 + 201*w).
1794*w**4
Expand -4*c + 5*c - 2*c + 2*c + 1 - 1 + (3*c - 5*c + 0*c)*(7 - 1 - 3) + 0*c + 0*c + c + (-49 + 19 - 45)*(-c + 2*c - 3*c).
146*c
Expand (2*t - 5*t - 4*t)*(-6*t**3 + 4*t**3 + 5*t**3) + t**4 - 9*t + 9*t + 2*t**3 - 2*t**3 + 2*t**4.
-18*t**4
Expand ((-a + 5*a + 0*a + (0*a + 0*a + a)*(0 - 1 + 4) - 4*a + 6*a - 3*a)*(2*a + 3*a + 2*a) + (-2 - 1 - 1)*(-3 + 3 - a**2))*(-1 + 1 - 2)*(0 + 0 + a).
-92*a**3
Expand (3*s + 0*s + 0*s)*(-7 - 21 - 32).
-180*s
Expand ((-5 + 3 + 1)*(5*a + 16*a - 12*a) + (0*a + 2*a - a)*(-1 + 4 - 2))*(-2*a**2 - a + a).
16*a**3
Expand (-4*l + 3*l + 0*l)*(1 - 1 + 2)*(531*l + 35305 - 35305).
-1062*l**2
Expand (484 + 337*w - 484)*(-4*w**4 + 0*w**4 + w**3 + 2*w**4).
-674*w**5 + 337*w**4
Expand -97*y**2 + 48*y**2 - 4*y**3 + 43*y**2 + (-2 + 5 - 4)*(-3*y**3 - y**3 + 5*y**3).
-5*y**3 - 6*y**2
Expand (-3 + 2 + 0)*(-3*q + 2*q + 4*q)*(9 - 71 + 2).
180*q
Expand (2*c + c - 2*c)*(c - c + 2*c**2) + 2*c**3 + 3*c**3 - 3*c**3 + 2*c**3 + 3*c**3 - 3*c**3 + 62*c**3 + 130*c**3 - 49*c**3.
149*c**3
Expand (-5 + 7 + 13)*(-5 - 3 + 3)*(-4*x + 4*x - 3*x).
225*x
Expand (m + 2*m - 2*m)*(35 - 27*m**4 - 35) + 10*m**4 + 0*m**5 - 10*m**2 - 8*m**4 + m**5 + 2*m**5 + 0*m**5 - m**5.
-25*m**5 + 2*m**4 - 10*m**2
Expand (-5 + 8 + 9)*(-28 - 27*g + 28).
-324*g
Expand -a + 3*a - a - 2658 + 2658 + 395*a + (3 + a - 3)*(1 - 4 + 5).
398*a
Expand (0*x + 4*x + 5*x)*(2*x - x**2 - 2*x) + 0*x**3 - 3*x**3 + 5*x**3 - 2*x**3 + 6*x - 6*x + (2 - 7 + 3)*(-4*x + 4*x - x**3).
-7*x**3
Expand -5*t**4 - 3*t**4 - 3*t**4 - 5*t**4 - 18*t**2 + 18*t**2 + (2*t**4 - 4*t**4 + 0*t**4)*(4 + 0 - 2).
-20*t**4
Expand (-46*w - 29*w + 1132*w**2 - 1131*w**2)*(3*w - 3*w - 3*w) - w**3 + 3*w**3 - 5*w**3.
-6*w**3 + 225*w**2
Expand -183*s**4 - 270*s**4 + 271*s**4 + (-2*s**2 - s**2 + s**2)*(3*s - s + 0*s)*(-3*s + 0*s + s).
-174*s**4
Expand 60 - 60 + 6*f**5 - 2*f + (3*f + 0*f - f)*(-f**2 + 4*f**2 - 2*f**2)*(-2*f**2 - 6*f**2 + 2*f**2).
-6*f**5 - 2*f
Expand (-2 + 0 - 1)*(4*s**4 - 3*s**4 + 0*s**4).
-3*s**4
Expand (3*k + 0*k - 4*k)*(-4901*k + 63 + k**4 + 4901*k).
-k**5 - 63*k
Expand (0*o - 3*o + o)*(-2 + 0 + 3) + 23 + 16*o - 23.
14*o
Expand (-4*q + q + 2*q)*(68 + 9 - 77 - 696*q).
696*q**2
Expand (-15*l + 4*l - 4*l)*(-4 + 2*l + 4 - l + 4*l - 5*l + (0 + 2 + 0)*(0*l + 4*l - 3*l) - 4 + 4 + l - 3*l + 2*l + 3*l + 3 - 3 - l).
-60*l**2
Expand (0*d - 2*d - 10 + d + (-1 - 1 + 0)*(-2*d + 0*d + d))*(d**2 - 5*d**2 + 2*d**2).
-2*d**3 + 20*d**2
Expand -2 + 2*q + 2 + (1 - 2*q - 1)*(-70 - 24 - 19).
228*q
Expand (-4365*x - 52 + 4369*x - 7)*(-4*x**4 + 6*x**4 + 0*x**4).
8*x**5 - 118*x**4
Expand (4*w + 0*w - 2*w + (-4 + 1 + 5)*(-w + 0*w + 3*w) - 4*w + 0*w - 6*w - w + 0*w - w)*(1 + 6*w**2 - 7*w**2 + 0*w**2).
6*w**3 - 6*w
Expand 3 - f**4 - 3 + (3*f + 2*f - 3*f)*(-47*f**3 + 2*f**3 - 8*f**3).
-107*f**4
Expand (-18*s - s**3 + 18*s - s**4)*(-1 - 2*s + 1).
2*s**5 + 2*s**4
Expand (72*h**3 - h**4 + 164*h**3 + 104*h**3)*(4*h + 0*h - 2*h)*(0 - 2 + 0) + (2*h**2 - 3*h**2 - h**2)*(-h**3 + 2*h - 2*h).
6*h**5 - 1360*h**4
Expand (1 - 3*m + 2*m + 0*m)*(-6*m**4 - 9*m**4 + m**4).
14*m**5 - 14*m**4
Expand ((-5 - 6 + 0)*(5*v + 2*v - 3*v) - v - 5*v + 5*v)*(5 - 2 - 1).
-90*v
Expand (-5 + 2*q**2 + 5)*(-3 + q + 3) + (0*q - q + 0*q)*(0*q**2 - 3*q**2 + 0*q**2) - 3*q**2 + q**3 + 3*q**2.
6*q**3
Expand (-3 + 2 + 0)*(-11*a - 51*a - 4*a).
66*a
Expand (72*a + 66*a + 48*a)*(-2 - 2*a**2 + 2).
-372*a**3
Expand (6 + 57 - 32)*(-k - 2*k + 5*k) + 2*k - 2*k - k.
61*k
Expand (-2*r**2 + 2*r**2 - 2*r**2)*(2*r - 2*r - 2*r) - 3*r**3 + 4*r**3 - 2*r**3 - 2*r**3 + 3 - 3 + 6*r**3 - r**3 + 6*r**3 + 8 - 3 - 5*r**3 - 3.
7*r**3 + 2
Expand (-b + b + b)*(2 + 1 - 2) + 487*b - 996*b - 725*b - 409*b.
-1642*b
Expand (0 + 2 - 3)*(4 - 7 + 4)*(4*p + 5*p + 6*p)*(3*p - p + 0*p).
-30*p**2
Expand ((-4*h**3 + 12*h**3 - h**3)*(3*h + 3 - 3)*(1 + 2 - 2) - h**2 - 3*h**4 + h**2)*(-5 - 2*h + 5).
-36*h**5
Expand (-x - 1 + 1)*(0*x - 2*x + 3*x) - 158 - 144*x**2 + 158.
-145*x**2
Expand (5 - 5 - 14*n)*(-n**2 - 2*n**2 + n**2) - 2*n + 2*n - 2*n**3 - n**3 - n**3 + n**3.
25*n**3
Expand (-8*d - 6*d + d)*(9*d**2 + 7*d - 7*d) + (d**3 + 0*d**3 + d**3)*(-1 + 3 + | {
"pile_set_name": "DM Mathematics"
} |
e c*o - 3*o - 3*p = 4, 20 = -5*o - 5*p for o.
-1
Suppose 0 = -i + 7 + 7. Let o = 22 - i. Suppose -5*z = -o*z + 12. Solve -5*m + 2*m + 3 = 4*w, 2*w = -2*m + z for m.
5
Let c be (-1)/(-3) - (-20)/3. Let q = -62 + 56. Let i be 6/4*(-20)/q. Solve -5*o + 18 - i = z, -o - c = 5*z for z.
-2
Let c(r) = -18*r - 219. Let h be c(-15). Solve 2*f + h = 3*m + 52, 3*m = 4*f + 7 for f.
-4
Suppose 15*r + 5 = 230. Suppose r*i + 300 = 40*i. Solve 3*x - i = 3*p, -4*p = -5*x - p + 22 for x.
5
Suppose 0 = 23*o - 21*o - 10. Suppose -92 = v - 6*v + b, o*b = 2*v - 46. Let y be (-4)/v + 1656/162. Solve y = -5*g - p, 2*g = 3*g - 2*p + 13 for g.
-3
Let m = 129 + -34. Suppose -2*q - 17*q + m = 0. Solve 0 = 4*g - 0*g - 3*a - 18, -4*a - 23 = -q*g for g.
3
Let l be -2 - 3 - (11 - 26). Suppose 11*y = l + 1. Solve 14 = b - 4*z, 3*z = 2*b - 7*b + y for b.
2
Suppose -m + 0*m = -5*r - 2, 0 = -4*m + 4*r + 40. Let z be (2 + 1 + -3)/2. Let w = 9 + -6. Solve z = -w*q + 2*q - 4*c - 13, -3*q - m = 3*c for q.
-1
Suppose 2*a - 16*k + 15*k = 0, 0 = 5*a + 5*k - 30. Solve 3*b - a*i = 6*b - 6, 4*i = -12 for b.
4
Let u = 522 - 744. Let i be (-1 - u/24) + 6/(-24). Solve -i = -k - k, 10 = y + 3*k for y.
-2
Suppose -230*q + 215*q + 27 = -3. Solve -32*p + 7 = -q*l - 33*p, 2*l = -2*p - 12 for l.
-1
Let d be (14992/14)/(-2) - (-27)/63. Let h = d + 535. Solve -3*x = 6*j - 3*j - 6, h = -3*j + 4*x - 1 for j.
1
Let s be (53/(-371))/((-129)/63 - -2). Solve -3*k + s = 2*t, 6*k - t - 18 = k for k.
3
Suppose 0 = -40*b + 5119 - 4359. Solve 7 = -f - 22*i + b*i, -f - 5*i = 11 for f.
-1
Let m(b) = 102*b - 101. Let d be m(1). Solve 0 = 5*c - 15, 0 = -2*x + 3*c - d - 8 for x.
0
Let a(u) = u**2 + 303*u + 2081. Let b be a(-7). Solve b*x - 3*o - 24 = 13*x, 12 = -2*x - o for x.
-6
Let d = -3649 - -3652. Solve 6 = -4*c + 9*c + d*p, -2 = -2*c - p for c.
0
Let k(z) = z**3 - 11*z**2 - 103*z + 1136. Let t be k(11). Solve -f + 4*f - 7 = 5*r, t*r = 2*f - 4 for f.
-1
Let c(q) = -202*q - 3028. Let l be c(-15). Solve -45*u + 3*b = -42*u - 3, 4 = 4*u - l*b for u.
1
Let t be (-60)/36*6/20*-24. Solve -2 = 5*g + 4*n + t, 2*g + 4*n = -8 for g.
-2
Let i(r) = -2*r**2 + 160*r - 750. Let t be i(5). Solve -n + t = -2*x + 1, 0 = 5*n - 5 for x.
1
Let h = -557 - -628. Suppose 77*v = h*v + 6. Solve -5*j - 4*q - 13 = -3*q, 0 = -j - q - v for j.
-3
Suppose 215 = 23*k + 8. Solve 4*h - 2*x - k = -3, 2*h - 8 = 2*x for h.
-1
Let a be (-14)/(-2) + -16 + 4 + 15. Solve 5*m = 5*t + 15, 4*t + a = -t for m.
1
Suppose -5 = -b - 3. Let n(g) = 2*g + 2 + g - 10*g**b + 12*g**2. Let t be n(-4). Solve u - 11 = -0*c - 3*c, -t = -5*u - 4*c for u.
2
Suppose 0 = -3*n + 5*h + 196, -37*n + 33*n - 5*h + 238 = 0. Let l = n + -60. Solve l*o - 3*p - 16 = 0, -o + 10 = 2*o - p for o.
2
Suppose 15*s - 44 = -7*s + 22. Solve -23 = s*y - 5*v, 3*y - 16 = -2*v - 11 for y.
-1
Let z(u) = -3*u + 177. Let q be z(58). Solve 0 = -i + 4*t + 29, -18*t + 20*t = q*i - 27 for i.
5
Let w = 1775 + -1766. Solve 0 = -x - 5*m + w, 2*x - 4*m = -7*m + 4 for x.
-1
Let p = -208 - -236. Suppose p*z = 189 + 91. Solve 2*s = 5*s + 2*l - z, -5*s - 4*l + 18 = 0 for s.
2
Suppose -2*m = w - 18, m + 54 = 2*w + 53. Solve 16 = 4*k + 2*x, -4*k - 5*x + 24 = -m*x for k.
5
Let o be (25/10)/((-1)/(-2)). Suppose -3*w + 10 = 4*v, 2*w - 8 = -4*v - 2*w. Let d = -1 + 8. Solve -2*j + d*j + o = 2*x, v*x = -5*j + 25 for j.
1
Let n(z) = -z**3 - 2*z**2. Suppose 5*v - u = 3, 0*v - 5*u = 5*v + 15. Let g be n(v). Solve -3 = -3*i, -4*y + 2*i - 1 + 7 = g for y.
2
Let q(i) = -129*i - 250. Let x be q(-2). Solve z = -4*a - 2, -x*z + 6 = -11*z for a.
0
Let h be (-6)/(-4) - 2/(-4). Let f be (-4)/((2/4)/(-9 + 8)). Suppose 2*n = -4*p + 102, -f*n + 5*p = -10*n + 105. Solve -3*c = -4*d + h*c - n, -3*d = 3*c for d.
-5
Suppose 5*n = -q + 42 + 2, 4*q = 2*n + 66. Suppose -49421*j = -49597*j + 704. Solve j*v + 3*d - q = 0, -v = d - 4 - 2 for v.
1
Suppose 0 = -3*l + l + 34. Suppose l = 8*m - 7. Suppose m*q - 2*b + 2 - 4 = 0, -3*q - b + 17 = 0. Solve 4*r - 2 = -3*y, -r + q*r + 2 = -4*y for r.
2
Let d(z) = -3*z**2 + 3*z + 64. Let j be d(-4). Solve -2*g + 47*p - 43*p = -16, g + j = -p for g.
0
Let y(o) = -8*o + 23. Let r(n) = 9*n - 20. Let a(q) = 3*r(q) + 2*y(q). Let u be a(2). Solve -3*k - 6*s + 2*s = -u, s = 5*k + 25 for k.
-4
Let o = 89 - 90. Let n be (-9 + -1)/2*o. Suppose -w - n*l + 34 = 9, -3*l - 31 = -4*w. Solve 5*v = 2*d - 2 - w, 0 = 4*v + 8 for d.
1
Suppose 2*v + 3*m - 2 = 0, -167 = -5*v + 2*m - 143. Solve -v*r + 3*l + 6 = 0, 3*r - 5*r + 2 = -l for r.
0
Let r be 1*(1 + -3)*1/(-2). Let i be (r - 2)/(2/(-4)). Suppose -8*t + i*t = -12. Solve 2*z + t*p = -0*p, -4*p = z + 12 for z.
4
Let l(b) = -2*b**3 + 12*b**2 - 2*b + 7. Let x be l(7). Let q = -95 - x. Solve -3*k + 4*u + 5 = 0, u - 2*u = 3*k - q for k.
3
Let y = 5147 + -4934. Solve 2*o - 2*b + 2 = 0, -y*o + 5*b + 35 = -216*o for o.
-5
Let s be -57*4/(-30) - 4/(-10). Suppose 242*c = 233*c + 18. Solve a + o + 0*o = 8, -c*o + s = 0 for a.
4
Suppose 7*y = -311 + 1991. Let c = -240 + y. Solve 3*o - 15 = c, 0*h + 12 = 2*h + 4*o for h.
-4
Let x(k) = -k**3 + 9*k**2 + 7*k + 9. Let c be x(9). Suppose c = 5*z + 52. Suppose -l = z - 9. Solve -l*y - 5 = -2*q, 0*y - 22 = 2*q + 4*y for q.
-5
Let y = -6085 + 6089. Solve 4*h + 3*f = -6, y*h + 27 - 19 = -4*f for h.
0
Suppose -5*z - 5*n + 1810 = 0, -4*n - 172 - 180 = -z. Suppose 9*o = o + z. Let m be (o/27)/(2/6). Solve -6*a + a + m*c = 0, -3*a + 2*c + 4 = 0 for a.
4
Let f be (-4 - 1)/20 - (2 + 29/(-4)). Solve -5*m = -4*o - 1 + 18, o = f*m + 23 for o.
-2
Let p = -12 - -20. Suppose -8 - p = -i. Let z = -1445 + 1449. Solve -4 = 2*q - z*j + 12, -2*j = -3*q - i for q.
-4
Suppose -14 = -20*a - 10*a + 76. Solve -r + 1 = a*u - 5*u, 0 = 5*u for r.
1
Suppose 0 = -22*g + 23*g - 8. Suppose 5*i - 7 = -w, -2*i + g = 3*w - 13. Solve 4*r + w = 3*f - 1, 0 = 5*r + 10 for f.
0
Let g be 4/(-16) + 9/4. Suppose -5*s + 2 - 27 = 0, 4*d - 76 = -4*s. Let p = d + -22. Solve 18 = -p*r + 4*k, -r - 3*r - g*k - 16 = 0 for r.
-5
Let z(h) = -h + 36. Let u be z(-9). Suppose -5*p - u = -2*o, -5*o - 2*p + 6 = -63. Solve 0 = 5*f + 3*t - t + 23, f + 3*t + o = 0 for f.
-3
Suppose -5*z - 5*j + 32 + 13 = 0, -21 = -3*z - j. Let t(x) = 32 - 15 - 3*x + z. Let u be t(7). Solve -6*b = -u*b + 2*n, 0 = n + 4 for b.
2
Let y(l) = 46 + 19*l - 48*l - l**2 - 41. Let p be 87/2*(-6)/9. Let f be y(p). Solve f*q + 2*j = -16, 3*j - 4*j = -2 for q.
-4
Let d = 924 - 922. Solve -2*f - 3*f = -5*v, 10 = 4*v - d*f for v.
5
Let y(p) = p**3 - 19*p - 19. Let w(x) = x**3 + x**2 - 18*x - 21. Let t(q) = -4*w(q) + 3*y(q). Let v be t(-6). Solve 3*u = 2*n - 5*n + v, 2*u = 0 for n.
3
Let n(l) = 4*l**3 - l**2. Let p be n(1). Suppose 0 = -4*u + k - 160, 4*u + 52 + 116 = -k. Let b = 49 + u. Solve -b = -2*w, -p*w = 3*h - h - 16 for h.
2
Let l(t) = 31*t - 515. Let z be l(17). Solve 3*g = -z, 4*v + 0*g - 2*g = 8 for v.
0
Let s(j) = -j**3 + 8*j**2 - 18*j + 16. Let k be s(2). Solve -4*l = -2*l + 2*b, k = -l + b for l.
-2
Suppose 4*q + 0*q + 108 = 0. Let n = q - 17. Let l = 47 + n. Solve 6 = -2*k + l*f - 4, 2*f - 9 = -k for k.
1
Let d(r) = -24*r**3 - 3*r + 3. Let w be d(1). Let y be w/18*7 - 4/6. Let i(v) = -4*v - 33. Let q be i(y). Solve 5*a = -k - 2, 3*a - q*a - 4 = 2*k for k.
-2
Suppose v - 29 = 3*q - 55, v = -5*q + 62. Solve -4*m - 19 = 5*g, -m - 330*g + 334*g = -q for m.
-1
Suppose 2 = -w, 2*s + 0*w = -3*w. Let r(a) = -147*a. Let m be r(0). Solve k - s*i = -i - 13, k + i + 1 = m for k.
-5
Let z = 266 - 739. Let f = 473 + z. Solve -28 = -4*k + 4*u, f = -2*k + 4*k - 3*u - 17 for k.
4
Let f = -296 + 298. Suppose -n - m = 0, 0 = -n - n + 5*m + 35. Suppose 0 = n*d - 20 - 0. Solve f*l = -2*a - 2*a + 14, -d*a - 1 = -3*l for a.
2
Let z(g) = -67*g**2 + 268*g + 2. Let r be z(4). Solve -14 = 4*k - 5*c - r, 2*k - 5*c + 6 = 0 for k.
-3
Let k be (5 - 16/4)*(-1 - -4). Suppose -333*g - k = -334*g. Solve 0*o = g*o + 12, -r - 3*o = 9 for r.
3
Let m(a) = -a**2 + a + 2. Let w(s) = s + 7. Suppose 2*y = 16 - 30. Let q be w(y). Let b be m(q). Solve -7 = -5*f - 3*i, 0 = 5*f - b*f - 3*i + 15 for f.
-1
Let q = 81 + -78. Solve 8*g = 5*g + h - 11, 4*g - q*h = -18 for g.
-3
Let c(d) = d**3 - 11*d**2 + 18*d - 6. Let t be c(8). Let z be (-6)/4*180/t. Suppose -29*m + 4 = -27*m. Solve 5*f - 5 = m*x, -z*f - x = -0*f - 20 for f.
3
Let n be 2 + -1 + 16 + (-42)/( | {
"pile_set_name": "DM Mathematics"
} |
p and give t.
795
Rearrange (5*i**2 - 7*i**2 + i**2)*((9 - 9 + 8*i)*(0 + 9 + 0) + (-2*i + i + 6*i)*(-2 - 2 + 5)) to w + n*i**2 + o*i + j*i**3 and give n.
0
Rearrange -23*p**2 + 2*p**3 - 3637*p**4 + 3647*p**4 - 3*p - 4*p to the form h*p**2 + b*p**3 + f*p**4 + r*p + c and give h.
-23
Rearrange (-1 + 10 + 2)*(659 + 89*g**3 - 659) to p*g**3 + q + s*g**2 + r*g and give p.
979
Express 2018*t + 236*t + 532*t as o*t + f and give o.
2786
Rearrange -3*c + 4*c - c**2 + 2281*c**3 + 4 - 2287*c**3 - 4*c**2 to the form n + k*c + l*c**3 + d*c**2 and give n.
4
Rearrange (4 - 2 - 4)*(-3 + 1 + 0)*(24*y + 99*y - y**2 + 112*y) to the form q + f*y**2 + b*y and give f.
-4
Express -1 + 24127*p - 11746*p - 11944*p + 1 in the form y*p + x and give y.
437
Express 4*l**2 - 14*l**4 + 78414*l**3 - 78414*l**3 - 2 + 22*l in the form x*l**4 + y*l + q*l**2 + i + j*l**3 and give i.
-2
Rearrange 3*g - 38 + 38 - 1 + 1 - 2*g - 572 + 37*g + 572 + (0 - 3 + 2)*(-g + 3 - 3) - 1 - 2*g + 1 + 0*g + g - 2*g to o*g + h and give h.
0
Rearrange (-l + l - l)*(-1 + 0 + 0)*(0 - 5 + 3)*(127 + 729 - 96)*(-4 - 1 + 4)*(0 - 1 + 2) to the form u + j*l and give u.
0
Rearrange (0 - 24*t - 2 + 10*t)*(-647*t + 128 - 1377*t**2 - 126 + 646*t) to k*t**2 + a + m*t + b*t**3 and give k.
2768
Rearrange 52*c + 462 - 83*c - c**4 + 2*c**2 + 33*c - 2*c**3 to w + d*c**3 + y*c**4 + o*c + z*c**2 and give w.
462
Express -7601*a**2 + 2*a**3 + 22803*a**2 - 7600*a**2 - 7598*a**2 + 110*a + 2 in the form u*a**2 + i + y*a**3 + o*a and give i.
2
Rearrange (114 + 174*j - 65 - 48)*(324 - 324 + 7*j + (-7 + 3 + 2)*(3*j - j + 0*j)) to o*j**2 + a + h*j and give h.
3
Express -28*s**2 + 23977 - 29*s**2 + 34*s**2 - 23951 as u*s**2 + y*s + m and give u.
-23
Express -144 + 4*v**3 + v**3 - 2*v + v**2 + 10 - 3*v**3 - 82 in the form q*v**2 + p*v**3 + c + o*v and give q.
1
Rearrange -12 - 1807*h + 4 + 3686*h - 1842*h + 9*h**2 to d + y*h**2 + a*h and give d.
-8
Rearrange 41*r + 27*r**2 - 1 - 11*r - 12*r**2 - 13*r - 15*r to i*r**2 + z + x*r and give z.
-1
Express (25*n**2 + 10*n**2 + 19*n**2)*(-11*n - 25*n + 8*n) as f*n**2 + p*n**3 + o + l*n and give p.
-1512
Express (1 + 2*v**2 - 1 + (-2513*v + 266 + 2511*v - 55)*(3*v - 5*v + v))*(0*v - 6*v + 4*v) in the form y*v**3 + r*v**2 + p + l*v and give r.
422
Express -36*t**2 + 434*t**4 + 0*t + 7 - 435*t**4 - 2*t + 2*t**3 in the form h*t**2 + r + n*t**3 + v*t + m*t**4 and give n.
2
Express 6 - 4 + 618*o**2 - 4 - 16*o**3 - 12*o**3 + 30*o**3 - 3*o as y + i*o**3 + g*o + z*o**2 and give y.
-2
Rearrange 43*c - 23385169*c**2 + 0 + 2 + 23385144*c**2 to the form n*c**2 + l*c + s and give n.
-25
Rearrange (1 - 4 + 0)*(-14*a**2 + 13*a**2 - 14*a**2) + (10*a + 7*a - 10*a)*(-a - 4*a + 3*a - 2) to the form k*a + m*a**2 + u and give k.
-14
Rearrange (5 + 1 - 3)*(-267*j**4 + 426*j + 268*j**4 + 4*j**3 + 742*j**2 - 743*j**2) to r*j**4 + m + h*j**2 + i*j**3 + p*j and give i.
12
Rearrange (-51 - 7*n + 18*n - 12*n)*(2*n**2 - 3*n + 1880*n**3 + 1883*n**3 - 3761*n**3) to the form z*n**2 + u*n**4 + v*n + j + g*n**3 and give v.
153
Express 565*y**2 - 22616333 + 22616338 - 5518*y**2 as g*y + f + a*y**2 and give f.
5
Rearrange 1 - 744*q**2 + 747*q**2 - 100*q + 163*q to b + l*q**2 + g*q and give b.
1
Rearrange 28*r**3 - 13*r**3 + r**4 - 58*r**2 - 2 - 12*r**3 - 5*r**3 - r + r**4 to the form h + x*r**4 + t*r + j*r**2 + w*r**3 and give h.
-2
Express (-516*k**2 + 1578*k**2 + 341*k**2)*(14 - 199*k + 199*k - k**2) in the form o + i*k + p*k**2 + d*k**4 + n*k**3 and give p.
19642
Express 3*s**2 + 854*s - 2*s**4 - 855*s + 0*s**3 + 8*s**3 - 15 - 3*s**2 in the form x*s**3 + c*s**4 + u*s + m*s**2 + h and give x.
8
Express (100560784 + 15217*k - 100560784)*(-2*k**3 - 2 + 2) in the form z*k + l*k**2 + q*k**4 + r + d*k**3 and give q.
-30434
Rearrange -1935 + 2*k**3 + 3869 + 13*k**2 - 1940 - 2*k**4 to l*k**2 + j + s*k**4 + o*k**3 + v*k and give s.
-2
Express -3*t**2 + 160*t + 14*t**2 - 109*t + 198*t - 12*t**2 - 1 in the form y*t**2 + g*t + n and give n.
-1
Rearrange 6114390*y**2 + 18133*y**3 - 6114390*y**2 + (4*y**2 + y**2 - 4*y**2)*(-y - y + y) to t + i*y**3 + p*y + l*y**2 and give i.
18132
Rearrange -1 + 2*f + 1 + (0 + 1 + 0)*(-f + f + f) - 151956 - 162*f - 151962 + 303933 to the form g*f + p and give p.
15
Express 53*w**2 + 89*w - 87*w + 620*w**2 in the form p + q*w**2 + m*w and give q.
673
Express -6483 - 4*y**2 + 6485 - 30*y**2 - 14*y**3 as o*y**3 + l*y**2 + d*y + w and give o.
-14
Express (-2 + 2 - 2*z)*(8 + 1 + 14) - 4 + 6*z - 7*z + 0*z as p*z + t and give p.
-47
Rearrange (-13222 - 7381 + 9168 - 7242)*(2*d**3 + 4*d**3 - 4*d**3) to n*d**3 + m + s*d + x*d**2 and give n.
-37354
Rearrange 790*b - 4 - 18*b**2 + 783*b - 1577*b - b**3 + 2 - 25*b**2 to the form g*b + m*b**3 + p + s*b**2 and give s.
-43
Rearrange -8838*z + 2*z**2 + 8934*z + 6*z**2 to the form u*z**2 + g*z + n and give u.
8
Rearrange (4*t - t - 5*t)*(3*t - 2*t - 3*t) + (612*t**2 - 265*t**2 + 406*t**2)*(-5 + 0 + 4) to the form k*t + z*t**2 + f and give z.
-749
Express (4 - 2*h**3 - 4)*(-441 + 4245*h + 11791*h + 441) in the form p*h**2 + j + q*h**3 + x*h + a*h**4 and give x.
0
Express (16868*y + 6195*y + 2242*y - 2357*y + 28234*y)*(-5*y**2 + y**2 + 2*y**2) in the form j*y**2 + d + z*y + i*y**3 and give i.
-102364
Rearrange -5566*g - 84877 - 13458*g + 84877 - 9149*g to the form i + x*g and give x.
-28173
Express -21 + 4*r**2 + 17 - 217 + 23 - r**2 as h*r + o + g*r**2 and give g.
3
Express (0*d**2 + 2*d**2 - 4*d**2)*(0*d + 4*d - 3*d) + 665836*d - 665836*d + 2*d**2 - 44*d**3 - 26 as y*d + s + p*d**3 + a*d**2 and give a.
2
Express 3764*p - p**2 + 7*p**4 - 3760*p + 27 - 35 in the form t + l*p**3 + m*p + v*p**2 + y*p**4 and give t.
-8
Express (-18*s + 18*s + 7*s**2)*(-12679 - 12714 + 25304)*(3 - 4 + 2) in the form c*s + q + r*s**2 and give r.
-623
Express -137*r**3 + 22*r + r**4 - 2*r**2 + 62*r**3 + 13*r - 36*r as m*r**4 + n*r + g*r**3 + d + w*r**2 and give w.
-2
Rearrange 12446*q + 11660*q + 9536*q - 29231*q to y + n*q and give n.
4411
Rearrange 11*s - 303 + 217 - 11*s - 23*s**2 + 169 to the form d + p*s + q*s**2 and give q.
-23
Express (-832*u**2 + 254*u**2 - 3563*u**2)*(1 + 6 - 5) in the form a + s*u**2 + c*u and give s.
-8282
Express (97*f + 44*f + 100*f)*(-4*f - 2*f + 4*f) in the form i*f + h*f**2 + s and give s.
0
Rearrange -28 + 10361*q + 824*q**2 + 59 - 32 - 826*q**2 to u + k*q**2 + a*q and give k.
-2
Express 93 + 179 - 497317*a + 497317*a + 8*a**2 as d*a**2 + j + l*a and give j.
272
Express (-4*t**2 + 5*t**2 - 4*t**2)*(-161 - 710 + 234)*(4*t - 3*t + 2*t) as o*t**3 + d*t + s + y*t**2 and give o.
5733
Rearrange -11015*q + 4986*q + 838*q to t + b*q and give b.
-5191
Rearrange 1593*x**2 - 6*x + 6*x + 63 - 1554*x**2 to u + a*x**2 + b*x and give u.
63
Express (-13 + 6 - 16)*(-11008 + 85*r + 11008) in the form l*r + s and give l.
-1955
Express 25177*i**4 - 25125*i**4 + 2*i**3 + 2*i**2 - 28*i - i**3 - 2 as r*i + v*i**4 + d + o*i**3 + b*i**2 and give d.
-2
Express 7*p + 2*p**4 + 1543*p**2 - p**3 + 1538*p**2 + 1530*p**2 - 8 - 4625*p**2 in the form j*p**3 + u*p + h*p**2 + n + m*p**4 and give j.
-1
Rearrange (-31 - 43 - x**2 - x + 42)*(3 + 0 - 8)*(-x + 0*x - x) + 0*x**3 + 2*x**3 + 0*x**3 to the form j*x**2 + o*x + l + b*x**3 and give l.
0
Rearrange (383 - 383 - 454*r)*(2 + 2 - 6) to the form a + y*r and give y.
908
Rearrange 2*c + 2*c**2 - c**2 + 0*c**2 + 27*c**2 + 314 - 24*c**2 to the form l + h*c**2 + v*c and give l.
314
Rearrange -10*i**2 + 19*i**2 + 89*i**3 - 13 - 10*i**2 to g*i**3 + b*i + t + r*i**2 and give r.
-1
Express (0*b + b + b)*(-5 + 2 + 2) + 2*b + 0*b - 3*b + 386*b - 4499*b - 1111*b as r*b + t and give r.
-5227
Rearrange 1360*p**2 - 677*p**2 - 690*p**2 - 7 + 2*p**3 - 2*p**4 to h*p + u*p**4 + t + r*p**2 + d*p**3 and give d.
2
Rearrange 2*h**2 + 164*h - 2 - 119*h + 66*h to n + z*h + y*h**2 and give y.
2
Express 0*b**2 - 3*b**2 - 42082*b + 4490 - 1019 + b**2 + 42083*b in the form c*b**2 + u + x*b and give u.
3471
Rearrange 1003*q**4 - 502*q**4 - 452*q**4 + 4*q**3 + (0*q - 4*q + 3*q)*(0*q - 2*q**3 + 0*q) to d + f*q + u*q**4 + i*q**3 + w*q**2 and give u.
51
Rearrange -13*m**3 - 40*m**3 + 29*m**3 + 1713*m**2 + 25*m**3 + 1688*m**2 to d + j*m**3 + i*m**2 + k*m and give i.
3401
Express 572*i**2 + 2391*i**2 + 12628*i**2 - 1240*i**2 as r*i + o + a*i**2 and give a.
14351
Express 2*m* | {
"pile_set_name": "DM Mathematics"
} |
**3 + 1689 = 0?
-21, -7, 1
Let p(g) = -g**3 - 4*g**2 + 24*g + 1. Let m be p(-7). Let h be (-112)/21*(9/m + 0). Factor -16*k**2 + 16/5*k**4 - 2/5*k**5 + 0 - h*k**3 - 10*k.
-2*k*(k - 5)**2*(k + 1)**2/5
Suppose 4851 = -9*k - 2*k. Let b be (-252)/k - (-2)/(-28). Solve 0*s**4 - 1/4*s**5 + b*s**3 + 0*s**2 - 1/4*s + 0 = 0.
-1, 0, 1
Let r(s) be the second derivative of s**5/10 - 55*s**4/3 + 1025*s**3/3 - 2500*s**2 - 602*s. What is k in r(k) = 0?
5, 100
Let o(k) = 20*k**4 + 168*k**3 + 1426*k**2 + 1254*k - 42. Let w(n) = -16*n**4 - 170*n**3 - 1427*n**2 - 1253*n + 35. Let x(r) = -5*o(r) - 6*w(r). Factor x(d).
-4*d*(d - 52)*(d + 1)*(d + 6)
Let x(y) be the first derivative of -7/3*y**2 - 2/15*y**5 - 55 + 7/6*y**4 + 0*y + 2/9*y**3. Determine j, given that x(j) = 0.
-1, 0, 1, 7
Let h = 1037699224/1443655 + -2/288731. Let v = -714 + h. Determine w so that 22/5*w - 4/5 - v*w**2 = 0.
1/4, 2/3
Let w = 103 + -97. Factor 5*y**2 - 2*y - y**2 - w*y**2 + 0*y**2.
-2*y*(y + 1)
Let x(n) be the third derivative of -1/30*n**5 - 35/12*n**4 + 0*n - 34/3*n**3 + 70*n**2 + 0. Let x(h) = 0. Calculate h.
-34, -1
Let w(b) be the first derivative of -4/5*b - 55 - 1/15*b**3 + 2/5*b**2. Factor w(x).
-(x - 2)**2/5
Let s be 12 + -13 + 4 + 1. Find b, given that -18*b**s + 29*b**2 - 11*b**4 + 25*b**4 - 40*b**3 + 15*b**2 = 0.
-11, 0, 1
Find t such that 3*t**3 + 1136*t + 3688*t + 777*t - 2799 - 2805*t**2 = 0.
1, 933
Let s(b) be the second derivative of -b**7/10080 - b**6/720 + 7*b**5/160 - 89*b**4/6 - 167*b. Let r(f) be the third derivative of s(f). What is c in r(c) = 0?
-7, 3
Let o(r) be the second derivative of -r**7/70 - 7*r**6/50 - 9*r**5/100 + 11*r**4/4 + 56*r**3/5 + 18*r**2 - 44*r - 2. Suppose o(c) = 0. Calculate c.
-5, -2, -1, 3
Let p(y) = 15*y**4 - 85*y**3 + 360*y**2 - 2155. Let u = 342 - 347. Let d(a) = 2*a**4 - a**3 + 1. Let g(w) = u*d(w) + p(w). Factor g(j).
5*(j - 6)**3*(j + 2)
Let m be ((-6)/9)/(5/(30/4)). Let g be m/(-4) - ((-3)/(-12) - 3). Factor -3*l**4 - 3*l**4 + 4*l**4 - 2*l**2 + 4*l**g.
-2*l**2*(l - 1)**2
Let v be 5 - (137382/4056)/7. Let p = v - -15/169. Factor 0 + p*d**2 - 1/4*d.
d*(d - 1)/4
Let x(q) be the first derivative of -5*q**4/4 + 115*q**3/3 - 315*q**2 - 7549. Find h such that x(h) = 0.
0, 9, 14
Let o = -49402/7 - -247262/35. Factor -132/5*n**2 - o*n + 0 - 21/5*n**3.
-3*n*(n + 6)*(7*n + 2)/5
Let h(w) = w**2 + 13. Let t be h(-3). Suppose -28*q = -t*q - 18. Solve -3/4*u**3 + 3/4*u**5 + 21/4*u**2 - 9/4*u**4 - q + 0*u = 0.
-1, 1, 2
Let g be (-3)/(-6)*24/16*-4. Let w be (198/(-63))/(1 + g) + -1. Determine l so that w - 16/7*l**2 - 12/7*l = 0.
-1, 1/4
Let z = 989 + -43515/44. Let o(g) be the third derivative of -2/33*g**3 + 0*g + 0 - 1/330*g**5 + 9*g**2 - z*g**4. Determine f so that o(f) = 0.
-2, -1
Let i be 317512/207948 + (-12)/62. Factor -i + 13/9*y - 1/9*y**2.
-(y - 12)*(y - 1)/9
Let y(h) = -9*h + 31. Let b be y(3). Factor 41*k**b + 320*k - 482*k**2 + 48*k**3 - 21*k**4 + 192 + 98*k**2.
4*(k - 2)**2*(k + 6)*(5*k + 2)
Let s be (-1048)/(-8) - ((-4)/1 - 1). Suppose -7*n + s = 27*n. Find r such that 16/7*r - 24/7*r**2 + 0 - 2/7*r**n + 12/7*r**3 = 0.
0, 2
Let z(p) = -15*p**3 - 5199*p**2 - 5316*p + 10449. Let b(u) = -u**3 - 400*u**2 - 409*u + 804. Let h(n) = 27*b(n) - 2*z(n). Factor h(g).
3*(g - 135)*(g - 1)*(g + 2)
Factor 1/4*w**2 - 327 - 323/4*w.
(w - 327)*(w + 4)/4
Let h(a) be the second derivative of 1/6*a**4 + 0 + 0*a**2 + 0*a**3 + 99*a - 1/80*a**5. Factor h(t).
-t**2*(t - 8)/4
Suppose -15*l - 3*d = -10*l - 403, 0 = -l + 2*d + 78. Factor 19*c - 5*c**3 + 20 - 80 + 21*c - 55*c**2 + l*c**2.
-5*(c - 6)*(c - 1)*(c + 2)
Let g(t) be the first derivative of 33 + 1/3*t**3 - 16*t - 3*t**2. Factor g(r).
(r - 8)*(r + 2)
Let g = 103/2826 - -3/157. Let c(y) be the first derivative of -g*y**3 - 25/6*y - 5/6*y**2 - 3. Let c(a) = 0. Calculate a.
-5
Solve 5706*d**3 - 540 - 1346*d + 397*d**2 - 5720*d**3 + 1503*d**2 = 0 for d.
-2/7, 1, 135
Let u(d) be the second derivative of -3/2*d**2 - 3 - 1/16*d**4 - 4*d + 5/8*d**3. What is m in u(m) = 0?
1, 4
Let c(z) be the third derivative of 1/180*z**4 + 7/180*z**6 + 0*z**3 + 11/450*z**5 + 0*z + 0 + 2*z**2 + 1/63*z**7. Factor c(h).
2*h*(h + 1)*(5*h + 1)**2/15
Factor 305809/3 - 1106/3*w + 1/3*w**2.
(w - 553)**2/3
Let r = -6 - -9. Let c(d) = -829*d + 5803. Let z be c(7). Factor 0 + 0*w**2 + z*w + 2/7*w**4 - 4/7*w**r.
2*w**3*(w - 2)/7
Let o = 233 + 336. Let s = o + -567. Suppose -3*x**3 + 2*x**s + 0 - 1/2*x**5 - 1/2*x + 2*x**4 = 0. What is x?
0, 1
Let r(q) be the third derivative of -q**7/840 - 163*q**6/240 - 8747*q**5/80 + 6683*q**4/12 - 3362*q**3/3 + 161*q**2 - 3*q. Solve r(k) = 0.
-164, 1
Let j(k) = k**2 + 38*k + 321. Let f(n) = n + 7. Let z(y) = 6*f(y) - 2*j(y). Let z(q) = 0. What is q?
-20, -15
Let h(l) be the first derivative of -l**4/3 - 4*l**3/27 + 2*l**2/3 + 4*l/9 + 617. Factor h(d).
-4*(d - 1)*(d + 1)*(3*d + 1)/9
Suppose 2*x = 4*x - 2*t, 0 = -2*x + t + 6. Let z(u) be the second derivative of 1/40*u**5 + 0 + 1/12*u**4 + 0*u**3 - x*u + 0*u**2. Let z(l) = 0. Calculate l.
-2, 0
Suppose -10*j**4 - 4/3*j**2 + 34/3 + 22*j + 2/3*j**5 - 68/3*j**3 = 0. Calculate j.
-1, 1, 17
Suppose -296*q + 299*q - 6 = 0. Solve -86*a + 21*a**3 + 96*a + 34*a**3 - 4 + 4 - 65*a**q = 0.
0, 2/11, 1
Let x(a) = a**2 - 4*a - 28. Let c be x(8). Let c*l**2 - 4 + 6*l + 3 - 3*l**2 - 9*l + 3 = 0. Calculate l.
1, 2
Let t = 1157 + -1668. Let m = t + 513. Solve -2/7*h + 2/7 - 4/7*h**m = 0.
-1, 1/2
Let u = 60 + -56. Suppose -3*b = -2*x + 20, -u*x + 4*b = -0*b - 32. Determine v, given that 69 + 0*v**2 - 45 + x*v**2 + 28*v = 0.
-6, -1
Suppose 98804*b = 98794*b + 40. Factor -2/11 - 6/11*a + 2/11*a**5 + 4/11*a**3 - 4/11*a**2 + 6/11*a**b.
2*(a - 1)*(a + 1)**4/11
Let b be 0*(-5)/(-35) - 2/((-44)/110). What is y in -192/7*y + 912/7*y**2 - 177/7*y**4 + 0 - 12/7*y**b - 531/7*y**3 = 0?
-8, 0, 1/4, 1
Let f = -414569 + 414572. Find m such that -24*m**2 - 4/3*m**4 + 64/3*m + 32/3*m**f - 20/3 = 0.
1, 5
Suppose 12 = 3*t, 159*t = 4*h + 157*t + 4808. Let g be (-7470)/h + 3/8 + -6. Factor 0*f - 3/5 + g*f**2.
3*(f - 1)*(f + 1)/5
Let z(d) be the third derivative of d**8/8400 + d**7/12600 - d**5/6 + 79*d**2. Let i(l) be the third derivative of z(l). Let i(r) = 0. Calculate r.
-1/6, 0
Let c = -306 + 1032. Let i = -7985/11 + c. Factor 0*w + i*w**4 + 0*w**2 - 1/11*w**3 + 0.
w**3*(w - 1)/11
Let w(r) be the first derivative of -5*r**3/3 - 155*r**2 - 305*r + 886. Factor w(n).
-5*(n + 1)*(n + 61)
Let n(t) be the first derivative of -2*t**5/75 + 13*t**4/30 - 58*t**3/45 - 13*t**2/15 + 4*t + 3757. Solve n(b) = 0.
-1, 1, 3, 10
Let c(l) be the second derivative of -15*l**2 + 1/6*l**4 - 3 + 32*l - 2/3*l**3. Factor c(r).
2*(r - 5)*(r + 3)
Let m(w) = w**2 - 55*w + 452. Let v be m(45). Let a(i) be the second derivative of -1/3*i**3 - v*i + 1/10*i**5 - 2*i**2 + 1/3*i**4 + 0. Factor a(u).
2*(u - 1)*(u + 1)*(u + 2)
Let j(c) be the second derivative of 1/2*c**2 + 1/240*c**6 - 7/160*c**5 + 4 - 3/32*c**4 + 7/48*c**3 + 5*c. Factor j(t).
(t - 8)*(t - 1)*(t + 1)**2/8
Let f(u) be the third derivative of u**5/90 - 23*u**4/9 - 3*u**2 - 680*u + 1. Factor f(k).
2*k*(k - 92)/3
Suppose -3*c + 2*a + 9 = 0, -18*a = -45*a + 26*a. Let y(q) be the second derivative of 0 + 1/60*q**4 + 5/2*q**2 - 1/3*q**c + 3*q. Factor y(b).
(b - 5)**2/5
Let k(f) be the second derivative of f**4/12 + f**3/3 + f + 136. Let t(a) = -3*a**2 - 356*a - 6480. Let b(l) = 2*k(l) - t(l). Factor b(s).
5*(s + 36)**2
Let a = 15470 - 15452. Let y(x) be the second derivative of -1/12*x**4 + 0 - a*x + 7/2*x**2 + x**3. Let y(l) = 0. Calculate l.
-1, 7
Let u be ((-2)/21)/((-288)/9072). Find c, given that 3/8*c**4 + 3/2 + 0*c - 15/8*c**2 + 0*c**u = 0.
-2, -1, 1, 2
Let v(y) be the third derivative of 0 + 128*y**3 + 74*y**2 + 8/3*y**4 + 1/45*y**5 + 0*y. Factor v(c).
4*(c + 24)**2/3
Let k = 203759/1480720 - 2/18509. Let f(r) be the third derivative of 3*r**2 - 1/48*r**6 + 0 + k*r**5 + 5/6*r**3 + 1/840*r**7 - 11/24*r**4 + 0*r. Factor f(z).
(z - 5)*(z - 2)**2*(z - 1)/4
Let n(u) = -44*u**2 + 1624*u + 164828. Let g(w) = 38*w**2 - 1624*w - 164829. Let j(i) = -8*g(i) - 7*n(i). Suppose j(s) = 0. Calculate s.
-203
Let l(t) be the second derivative of t**7/126 - t**6/30 - 11*t**5/60 + t**4/12 + 5*t**3/9 - 2*t - 555. Let l(b) = 0. Calculate b.
-2, -1, 0, 1, 5
Factor -654/5 + 321/ | {
"pile_set_name": "DM Mathematics"
} |
2 + q**2 - 2*q**2)*(1 - 2 - 1) + 86*q - 12*q - 75*q - 139*q**2 to the form j + c*q**2 + k*q and give c.
-141
Express 81 - y**2 - 3*y - 32 - 25 - 24 in the form x*y**2 + l + u*y and give x.
-1
Express 5 + 942*m**2 + 714*m**2 - 16*m**2 - 5 in the form f*m + i + z*m**2 and give z.
1640
Rearrange -367217*k + 367214*k + 0*k**2 + 6 - 12*k**4 - k**2 to g*k + h*k**2 + d*k**3 + f*k**4 + y and give d.
0
Rearrange (-2*x - 2 + 2)*(6 - 6 + 2*x)*(-3*x + 824 - 766 + 4*x) to o*x**2 + v*x**3 + b*x + f and give f.
0
Express 9*f**3 - 2*f**3 - 26*f**3 + (-2*f**2 + 6*f**2 - 3*f**2)*(-4*f + f + 7*f) - f**2 + f**2 - 2*f**3 in the form u + m*f + x*f**2 + v*f**3 and give v.
-17
Rearrange 30*g**4 - g**2 - 5*g + 4 - 24*g**4 + 7*g - g**3 to s*g + v*g**4 + y*g**2 + q + u*g**3 and give y.
-1
Express 2 - 394*k**2 + 3*k - k + 1224*k**2 - 2*k in the form t*k + m + w*k**2 and give m.
2
Rearrange 2*t + 4*t - 42 + 3*t - 7*t - 36 to the form x + v*t and give v.
2
Express (-4 - 2 + 0)*(4*k**4 - 4*k**4 - 5*k**4) + k**3 + 7*k**4 - 5*k**4 + k**3 in the form a*k + h*k**3 + v + d*k**2 + w*k**4 and give w.
32
Express -5*p**2 - 8*p**2 + p**2 + (0*p + 4*p - 3*p)*(-p - 3 + 3) + 3*p**2 - 4*p**2 + 2*p**2 in the form t*p**2 + c + g*p and give t.
-12
Express (-4*j + 0*j + 3*j)*(146027 - 146027 - 541*j) as n*j + c + d*j**2 and give d.
541
Express -5*f**2 - 2*f + 17*f**2 + 1 - 16*f**2 as s*f**2 + z + c*f and give c.
-2
Rearrange 8 - 393*r + 15 + 7 + 15 - 43 to j*r + w and give w.
2
Rearrange (4 - 2 + 0)*(3044 + 3038 - 6082 - 277*x) to the form w*x + t and give w.
-554
Express (2*x + 4*x - 5*x)*(-4 + 6 + 0)*(-1 - 1 - 2)*(23*x - 266 + 266) as y*x + r*x**2 + h and give r.
-184
Rearrange -10*q + 6*q + 12*q - 2*q - q + q + (-1 - 4 + 1)*(-q - 2*q + 0*q) to s + z*q and give z.
18
Express (u**2 + u**2 - 3*u**2)*(-4*u + u + u) - 756486*u**2 - 1049*u**3 + 756486*u**2 in the form d*u**2 + k*u + o + x*u**3 and give x.
-1047
Express ((-1 - 3 - 1)*(4 + 3 - 2) - 5 - 5 + 4)*(-c - 3*c + 3*c)*(-1 + c + 1) in the form g*c**2 + i + s*c and give g.
31
Rearrange -15*r + 13*r - 2*r**3 - r**3 + r**3 + 2 + 3*r**3 - r**2 - r**4 to n + d*r + x*r**4 + u*r**2 + t*r**3 and give t.
1
Rearrange (1 + z**2 - 1)*(0 - 2 + 6 + (1 + 2 + 0)*(-1 + 3 + 1) + 0 + 0 + 2 + 1 - 6 + 1) to r*z + i + o*z**2 and give o.
11
Express 120*k**2 - 248*k**2 - 169*k**2 as f*k**2 + b*k + j and give b.
0
Express -37*h + 15*h**3 + 2*h**2 + 26*h + 18*h in the form f*h + n*h**2 + d + i*h**3 and give f.
7
Rearrange 127*n**2 + 758*n**2 + 531*n**2 to q*n**2 + x*n + u and give q.
1416
Express 24*t + 164 - t**2 - 175 - 24*t as g*t + k*t**2 + s and give k.
-1
Express -1 - b + 14*b - 2*b - 22 - 2*b in the form d + v*b and give d.
-23
Rearrange (-47*d - 9*d - 11*d)*(18*d + 15*d - 36*d + 9) to the form v + r*d**2 + p*d and give p.
-603
Rearrange 7 - 5 - 5*c - 9*c + 3*c + 3*c + 4*c + c - 3*c + c + (-1 + 3 + 0)*(0 + 0 + 2*c) to h*c + m and give m.
2
Express 2*k**2 - 3*k**2 + 4*k**2 + (6*k**2 - 2*k**2 - k**2)*(3 - 2 + 0) - 2*k**2 - k**2 + k**2 in the form q*k + z + a*k**2 and give a.
4
Express (-614 + 36*p + 614)*(-21 - 7*p + 21) as v*p + t*p**2 + f and give t.
-252
Express -250*g**3 - g - 3*g + 49*g**2 - 243*g**3 + 5*g + 492*g**3 in the form f + t*g + o*g**3 + h*g**2 and give t.
1
Rearrange (0 + 2 - 3)*(-1262*y**2 - 4 + 4 + 12751*y**2 - 2187*y**2) to q*y**2 + w*y + k and give q.
-9302
Express -3 + 15 + 2*r - 2 - 3 + 2*r**2 - 15 as k + o*r + s*r**2 and give k.
-8
Express -122*g - 115*g + 198 - 100 - 97 in the form k*g + j and give j.
1
Rearrange (-2*r + 5*r + r)*(3*r + 3*r - 4*r)*(-11*r + 33*r - 9*r) to c*r**3 + n*r**2 + t*r + j and give c.
104
Express -213 + 217 - 4*g**2 + 2*g**2 - g**2 + 2*g**2 + g**2 + (g + 3*g + 11*g)*(-2*g + 4*g + 0*g) + g - g + g**2 as j*g + o + d*g**2 and give o.
4
Rearrange -5 + 0*j + 16*j**4 + 2*j - j**2 + 2*j**2 - 5*j**4 - 15*j**4 to the form c*j**4 + i*j**3 + o*j + t + v*j**2 and give t.
-5
Express (73*a**2 + 23*a**2 - 6*a**2)*(3 + 2*a - 3)*(0*a + 0*a - 2*a) as u*a + i + d*a**4 + s*a**2 + h*a**3 and give d.
-360
Express (6*f**3 - 3*f**3 + 2*f**3)*((16 + 15 - 14)*(-2 + 0 + 1) + (3 - 3 - 5)*(-4 + 4 + 1)) as w*f**3 + y*f**2 + q + v*f and give w.
-110
Rearrange 2*u**2 + u**2 - 2*u**2 + 0*u**2 - u**2 + 2*u**2 + (5*u - 2*u - 5*u)*(0 + 2*u + 0) + 2*u**2 - 61 + 749*u - 754*u - u**2 to s*u + v + b*u**2 and give v.
-61
Rearrange (3*h - 2*h - 2*h)*(-2 + 5 - 1) + 2*h - 4*h + h + (3 - 2 + 0)*(-3*h - 3*h - 12*h) to u*h + r and give u.
-21
Express -10*v**3 + 18*v**4 + 42 - 37 - 3*v**2 - v - 31*v**4 + 12*v**4 in the form n*v + y + q*v**2 + r*v**3 + a*v**4 and give n.
-1
Rearrange ((2*p - 3*p - 2*p)*(-2*p - 2*p + 3*p) - 5 + 6*p**2 + 5)*(-2*p + p**2 + 2*p) to v*p**2 + c*p**3 + x + i*p + s*p**4 and give s.
9
Express (1 + 8 - 2)*(44*j + 30*j - 24*j) as c + h*j and give h.
350
Rearrange 3*g**3 + 2*g**3 + 2*g**3 + (-5*g + g + 2*g)*(3*g + g - 2*g)*(-19*g + 21*g - 85*g) to the form i*g**3 + t + r*g + w*g**2 and give i.
339
Express (2*s**2 + s**2 - 2*s**2)*(364409 - 364409 + 3243*s**2) in the form a*s + r + k*s**4 + b*s**2 + t*s**3 and give k.
3243
Rearrange 26*j**3 - 34*j**3 + 9*j**2 - j - 8*j**2 to o*j**3 + b*j + t*j**2 + q and give o.
-8
Express 91 - 32 + 89 + v in the form m + z*v and give z.
1
Rearrange 3*m + 13 + 2*m - m - 71 + 41 to s + d*m and give d.
4
Rearrange (1 + 0 - 2)*(4*s**3 - 4*s**3 - 2*s**3) + 11*s**3 + 345 - 345 - 2*s**2 to u + f*s + g*s**2 + v*s**3 and give g.
-2
Rearrange (3 + 5 - 4)*(-3 - m + 3) + (0 + 2 - 3)*(0*m + m + 0*m) + 4*m - 6*m - 6 + 0*m + 14*m - 20*m + 19*m to the form s*m + t and give t.
-6
Express (-5 - 1 + 9*z**2 + 8)*(121 - 48 - 51 + (3 - 1 - 1)*(1 - 1 + 2)) in the form c*z + q*z**2 + m and give m.
48
Express 2*g**3 - 2*g**3 - 4*g**3 + (-1132*g + 1132*g + 34*g**2)*(3 - 2*g - 3) in the form v*g**2 + y + z*g + i*g**3 and give i.
-72
Rearrange (3*k - 5*k - 8*k)*(4*k - 19*k + 1 + 0*k) to f + u*k + z*k**2 and give z.
150
Express 32*i - 65*i + 28*i + 36 as v*i + k and give k.
36
Express (4*x - x + 0*x)*((-4 + 3 + 2)*(1 - 2 + 3) + 4 - 1 + 0)*((-2 - 4 + 2)*(-3 + 1 + 1) - 2 - 2 + 7) as w*x + b and give w.
105
Express n**2 + 5*n + 10*n + 7*n - n**3 + 35*n as m*n + h*n**2 + k*n**3 + c and give m.
57
Rearrange (2 + 1 - 2)*(205*z - 145*z + 200*z) to the form a + g*z and give g.
260
Express (6559 - 6559 + 227*y)*(5 - 5 - 2*y) in the form w + m*y + v*y**2 and give v.
-454
Rearrange (967*d - 967*d + 863*d**2)*(3*d - 2*d - 4*d) to the form n*d**2 + y*d + b + l*d**3 and give l.
-2589
Express (-5*f**2 + 5*f**2 + 8*f**3)*(-4*f + 0*f + 6*f) + (4*f + 7*f**2 - 4*f)*(-f**2 + 2*f**2 + f**2) as y*f**2 + x + u*f + z*f**4 + t*f**3 and give z.
30
Rearrange -6 + 17 + 519*c**2 - 8 - 2 - 64*c**2 to the form d*c**2 + n*c + l and give l.
1
Express 6 + 6 - 11 - 1 - 560*r as n + s*r and give s.
-560
Express (6 - 2 - 3)*(-2*a + 2*a - a**4) + (21*a**2 - 7*a**3 - 21*a**2)*(-4*a - a + 3*a) as x*a**4 + u*a**3 + r*a**2 + y*a + g and give x.
13
Express (-2*n**2 + 0*n**2 + 3*n**2)*(512 + n + 1208 - 218 + 75) as t*n + a*n**2 + y + s*n**3 and give s.
1
Express 3*r + 80 - 31 + 68 - r in the form k + d*r and give k.
117
Rearrange (-11 + 3 + 1)*(-o + 3*o + 0*o) + 27 + 2*o - 27 + (o + 2 - 2)*(1 + 0 + 1) + 2*o - 2*o + o + 5 - 5 - o to the form l + p*o and give p.
-10
Express -40 - 31 + 6*h + 95 - 38 - 4*h in the form r + z*h and give r.
-14
Express -496*u**4 - u**3 + u**3 + 495*u**4 + 23*u - 3 - u**2 - 13*u as w*u**2 + o*u + m*u**4 + q*u**3 + h and give o.
10
Express (-3*b - b + 2*b)*(13 - 13 + b) + 5*b**2 - 5*b**2 - 2*b**2 + 51*b**2 + 9122*b - 9122*b as h + k*b**2 + d*b and give k.
47
Rearrange (h**2 + 1 - 1)*(-2*h + 3*h - 2*h) + (-5*h - h + 3*h)*(-9*h + h + 5*h)*(3*h - 5*h + h) to the form v*h**2 + a*h + b*h**3 + q and give b.
-10
Express 1 + 6*q - 1 + (-3 - 1 + 1)*(-2*q + 4*q - 4*q) + 3*q - 7*q + 3*q - 1 + 1 + 2*q in the form d + s*q and give s.
13
Express -103 + 2*d**4 - 109 - 2*d**3 - d**2 + 213 - 95*d**4 as t + k*d**4 + h*d + v*d**3 + u*d**2 and give u.
-1
Express (-2*o**2 + 3 - 3)*(3*o**2 + 0*o**2 + 5*o**2)*(-2 + 5 + 3) as b + d*o**4 + t*o**2 + h*o**3 + k*o and give d.
-96
Express (5 - 4 + 0)*(-713*j - 70*j - 30*j) in the form w*j + t and give w.
-813
Rearrange 87*m**3 + m**2 - 99 - 84*m**3 + 0*m**2 to the form j + b*m + f*m**2 + h*m**3 and give h.
3
Express -h**2 + 91 | {
"pile_set_name": "DM Mathematics"
} |
he closest to w in -3, 1/8, 4?
1/8
Let j = -0.7 - 13.3. Let x = j + 13. Which is the closest to x? (a) -2 (b) 5 (c) 0.1
a
Let g = 26 + -7. Let t = 22 - g. What is the nearest to 2 in 2/9, t, 0.03?
t
Let j = -0.3 + 0.08. Let u = j - -0.32. Which is the closest to u? (a) -2/3 (b) -0.2 (c) -0.4
b
Let t be 12/7*7/28. Let f = 0.31 + -1.31. What is the nearest to f in t, 1/15, -2?
-2
Suppose c - 677 = -2*c - 2*m, -3*m + 672 = 3*c. Let g = c + -117. Let o be 4/g - (-2)/(-7). What is the closest to 0 in 5, 1/7, o?
1/7
Let t = 66.5 - -1.5. Let y = -63 + t. Let j = 0.1 - 1.1. Which is the closest to j? (a) y (b) 1/11 (c) 3
b
Let l = 5.86 - -0.14. Let k = l - 3. Let q = -0.238 - -0.038. What is the nearest to q in 0.4, -0.1, k?
-0.1
Let w = -0.04 + -0.36. Let u = -66.6 - -66.4. Which is the closest to u? (a) 2 (b) w (c) 0.3
b
Let u = -566 - -568. Let t be (-12)/5*10/3. Which is the closest to -1? (a) u (b) t (c) -2
c
Let y = -1966 - -1966.2. Let a = 3.4 + 0.6. What is the nearest to -1 in a, -1, y?
-1
Let h = -4.97323 + -0.02677. Let l = -0.5 - -0.4. Which is the nearest to l? (a) 0 (b) h (c) 3
a
Let r = 6.77 - 6.77. Which is the closest to r? (a) 4/7 (b) -1/6 (c) -2/9
b
Let r be 438/(-405)*12*-6. Let j = 78 - r. What is the nearest to -0.1 in j, -2, 2/7?
j
Let n = 2981 - 2976.967. Let p = n + -0.033. What is the closest to 1 in -3, 2, p?
2
Let j = 4.0607 + -0.0607. Which is the nearest to 0? (a) 0.2 (b) 4/7 (c) 3 (d) j
a
Let m be (-4)/(-1) + (-248)/60. Let h = 0.154 + 0.046. What is the closest to 9 in m, h, 5?
5
Let g be 12/(6 + -2) + 72/(-28). Let d be -2 - 2*49/8. Let s = 14 + d. What is the nearest to 1 in s, -0.1, g?
g
Let z = 0 + -0.5. Let b be -6 + (-60)/(-10) + (-4)/(-18). What is the closest to 1 in b, -6, z?
b
Let t be (-1 - 4 - 139) + 0. Let m = t + 146. Which is the closest to m? (a) 0.9 (b) 3 (c) -2
b
Suppose -11*c + 3 + 8 = 0. Let l = 0.03 + -5.03. What is the nearest to 0 in 20, l, c?
c
Let k = -0.1 + 0. Let f be ((-34)/(-85))/(12/(-3) - -6). Which is the nearest to k? (a) -0.34 (b) 3 (c) f
a
Let z = -2 + 1. Let w be (-27)/(-99)*(-1 + -1 + 1). What is the closest to z in -3, 1/5, w?
w
Let p = 673/4 - 168. What is the nearest to 2/3 in 5, 3, p?
p
Suppose 0 = -4*t + 16, 24*o - 4*t + 13 = 21*o. Which is the nearest to o? (a) 1/3 (b) 13 (c) 3
a
Let r = 2582 - 2582.3. Let k(w) = 2*w**2 - 3*w. Let x be k(2). Which is the closest to 2? (a) x (b) r (c) -4/7
a
Let l = 22 + -17. Let i = -0.05 - -0.25. Which is the closest to i? (a) 1 (b) 1/2 (c) l
b
Let n = -0.5 - -0.4. Let y = 124 + -617/5. Suppose 2*k - 3*r = -2 + 9, -2*r = -2*k + 4. Which is the nearest to n? (a) y (b) k (c) -3/4
c
Let j be 1*(4 + -15 - -7). What is the nearest to -0.05 in -0.4, -2, j?
-0.4
Let t = 17.68 - 18.58. Which is the closest to -0.1? (a) -4 (b) -2 (c) t
c
Let q = 48.7 - 11.7. Let z = 37.3 - q. Which is the nearest to -3? (a) -6/7 (b) 4 (c) z
a
Let q be (2/(-9))/(4/(-6)). What is the nearest to 2 in 4/3, 2, q, 4?
2
Let p(z) = z**2 + 7*z - 8. Let v be p(-8). Which is the nearest to v? (a) 1 (b) -2 (c) -46
a
Suppose 4*c + 3*v - 79 = 0, -6 = 3*c + 4*v - 60. Suppose -3*f = -2*f + 2*z + 6, 3*f = 2*z + c. Suppose 2 + 1 = 3*t. What is the nearest to 1 in t, f, -4?
t
Let g = -48 + 50. Suppose -g*y - 4*w + 3*w = -4, -w + 4 = -5*y. Which is the closest to y? (a) 1 (b) -3 (c) 0.4
c
Let x = -1765/3538 + -2/1769. Which is the closest to 0? (a) -4 (b) 1/4 (c) x
b
Let r = 1100 + -1099. Let j be 0 + 1 - (5 - 1). Which is the nearest to -2? (a) j (b) 0.4 (c) r
a
Suppose -35 = -8*g - 43. What is the nearest to g in 3, 1/2, -0.03?
-0.03
Let t = 0 + 0.1. Let i = 11.6 - 7.6. Which is the nearest to i? (a) -4 (b) t (c) -2
b
Let x = -15.07 + 7.78. Let y = x + 0.29. Which is the nearest to -1? (a) 2 (b) 0.3 (c) y
b
Let w = -1.2 - -1. Let q = w - -0.2. Let g = 0.348 - 0.048. Which is the nearest to q? (a) 4 (b) g (c) -2
b
Let h = 1/2501 - -2436/162565. What is the nearest to -2/13 in 0, 2/17, -5, h?
0
Let i = -13/18 - -29/9. Let t be ((-2)/(-5))/(-1 - (-18)/15). What is the closest to t in i, -2, 0?
i
Suppose 8 - 2 = -3*q. Let i = -2.3 + 2.48. Let j = i + -0.08. Which is the nearest to -0.1? (a) -0.4 (b) q (c) j
c
Let y = -1856 + 1853. What is the closest to 6 in -2/5, y, 0.1, -3/4?
0.1
Let u = -1.3 + 1.5. Let f = -41 + 42. What is the closest to -1/3 in -0.2, f, u?
-0.2
Let j(z) = z**3 - 2*z**2 + z. Let l be (-24)/(-20)*(-30)/(-18). Let d be j(l). What is the nearest to -2 in -0.5, d, -2?
-2
Let u = 117.4 + 17.6. Let y = u + -134.9. Let l = -0.03 - 1.97. Which is the nearest to y? (a) l (b) 2/3 (c) 4
b
Let f be 9 - (-279)/(-18) - 6/(-4). Which is the closest to 1? (a) 0.1 (b) -21 (c) f (d) -4
a
Let z be 186/(-248)*(-4)/3. Which is the closest to -0.2? (a) 1/5 (b) z (c) 82
a
Let y = 23 - 23.06. Let n be 0 - 0 - 8/10. Suppose 0 = b - l - 2*l + 5, -3*l = -9. What is the closest to -0.1 in y, b, n?
y
Let s be ((-9)/102*32/12)/(-2). Which is the closest to -2? (a) -0.6 (b) 0.1 (c) s
a
Let t(x) = -3*x**2 - 25*x + 17. Let f be t(-9). What is the closest to 2 in -2/11, f, 2/3?
2/3
Let f(k) = -10*k - 76. Let i be f(-8). Which is the nearest to 1? (a) 2/13 (b) i (c) 1/54 (d) 0
a
Let z = 0.43 + -1.5. Let y = z + 1.27. What is the closest to 2 in -0.5, 2, y?
2
Let i = -0.2 - -0.1. Suppose 23*y - 20*y = 0. Suppose y = -10*z - 50. What is the nearest to -1 in 2, i, z?
i
Let d be 0*(84/(-48) - 3/(-4)). Let o = -0.15 + 0.05. Which is the nearest to o? (a) d (b) -4 (c) -7
a
Let v = 125/48 - 31/16. Which is the closest to -1/5? (a) v (b) 0.2 (c) 2/7
b
Let k = -735 + 738. Which is the nearest to 2/3? (a) k (b) -3 (c) -2 (d) 2/9
d
Let i(k) = k**3 - 11*k**2 - 16*k + 51. Let l be i(12). What is the nearest to -1 in l, 1, 5?
1
Suppose 2*z - 4 = 4*x - 3*x, -3*z = -2*x - 9. Which is the closest to -0.03? (a) x (b) -4 (c) -1
c
Let d = -6 - -3. Let k = 0.36 - 0.09. Let m = k - -0.03. Which is the nearest to 1? (a) m (b) d (c) -1/5
a
Suppose -76 = -2*l - 70. Let c = -4 - -3. What is the nearest to -2/13 in c, -3/2, l?
c
Let k = 41 - 121/3. Let l = 0.81 - 0.51. Let q = 5 - 8. Which is the closest to k? (a) q (b) l (c) 4
b
Let z be 1*-2*10/(-4). Let u = -13.429 - -0.129. Let l = -13 - u. What is the nearest to -2/7 in 1/6, l, z?
1/6
Let m be 3*-1*2/(-18). Let n be 1/(51/67)*(-24)/166. Let c = n - -6/83. What is the nearest to 1 in m, 0.1, c?
m
Let o = -1 + 1. Let s = -1.47 + -5.53. What is the nearest to -1 in s, o, -4?
o
Let k = -0.3668 - -0.3868. Let q = 4 + 0. What is the closest to k in -1, -1/2, q?
-1/2
Let t = 1.6 - 2. Let h = -500 + 499.7. Let m be 2 - 1 - 28/36. What is the nearest to 2/5 in t, m, h?
m
Let z = -18.31 - -18.41. What is the closest to 0.1 in 8, 4, z, -5?
z
Let f be 3/4*48/60. Let g = 399 + -9179/23. What is the closest to 1 in g, f, -0.4?
f
Suppose 10 = -4*f + 2*l, -f + 5*f - 3*l + 15 = 0. Let k = 699081/56 - 12484. Let v = -1/28 - k. Which is the closest to f? (a) -5 (b) v (c) 0.05
c
Let c = -0.08 + -0.12. Let j = -0.67 - 0.33. What is the closest to -1/2 in c, j, 1/4?
c
Let i be 36/16*(116/3 + 4). Which is the nearest to 0.1? (a) i (b) -4 (c) -1/5
c
Let v = -82.9 - -83. Suppose 0 = 5*s - 2*p - p, -2*p = s - 13. Which is the closest to s? (a) -0.1 (b) v (c) -5
b
Let w(q) = q**2 - 47*q + 443. Let g be w(34). What is the closest to g in 5, 2, 2/11, 228?
2/11
Let n = -404.1 - -404. Which is the closest to 3? (a) 2 (b) n (c) -0.5
a
Let q = 0.1 - 4.1. Let i = -2.6 - 1.4. Let j = 3.9 + i. Which is the closest to j? (a) q (b) 0.3 (c) 4/5
b
Let o = -1.7 - -1.83. Let l = 4.13 - o. Let x = -0.1 - 0.9. Which is the nearest to x? (a) 3/5 (b) -3 (c) l
a
Let i = -110 + 110.5. Let w be (-2*1 - -2) + 0. Which is the nearest to w? (a) -4 (b) -2/9 (c) i
b
Let i(t) = t**2 + 5*t - 39. Let y be i(-9). Which is the nearest to 2? (a) -0.2 (b) y (c) 4/5
c
Suppose -38 + 248 = 7*y. Let p be 12/(-30)*y/(-16). Let k = 1.2 + -0.2. Which is the closest to 1? (a) p (b) k (c) 3
b
Let f = 155597216373569/14842817655 - -62/20529485. Let p = f + -10483. Let q = -2159/3615 + p. Which is the closest to -4? (a) 1/5 (b) 0.3 (c) q
c
Let l = 346.4 - 346. Let z be (-2 + (-2)/4)*-2. Let y = -589/33 - | {
"pile_set_name": "DM Mathematics"
} |
ind the second derivative of -40045317*m*z**2 - 19*m*z - 13*m + 13*z + 1495 wrt z.
-80090634*m
What is the second derivative of -28601864*i**2 + 11038*i - 51 wrt i?
-57203728
Find the third derivative of 101719652*g**3 + 74857837*g**2 wrt g.
610317912
Differentiate -68398740*l**2 - 80167200.
-136797480*l
What is the first derivative of -71658969*p - 36825558 wrt p?
-71658969
Find the third derivative of 9723274*z**5 + 9031*z**2 - 73*z wrt z.
583396440*z**2
Find the first derivative of 2187*d*m*o + 2*d*m + 2*d*o + 98*d - m*o - 12*m - 3*o - 34 wrt o.
2187*d*m + 2*d - m - 3
Differentiate -705660*g**2*o - 5*g**2*u**2 - 1356313*g*u**2 + 6*o*u**2 wrt o.
-705660*g**2 + 6*u**2
What is the first derivative of p*y - 5*p + 13082904*y - 2350038 wrt y?
p + 13082904
What is the third derivative of 22359036*t**6 + 23*t**2 + 131391*t + 2 wrt t?
2683084320*t**3
What is the third derivative of -108944342*r**5 + 72805233*r**2 wrt r?
-6536660520*r**2
What is the second derivative of a**4 - 9185540*a**3 - 16837841*a wrt a?
12*a**2 - 55113240*a
What is the second derivative of 5986*z**3 - 25753*z**2 - 961945193*z wrt z?
35916*z - 51506
Find the third derivative of -630*h**6 - 3*h**4 + 29577*h**3 + 34024930*h**2 - h wrt h.
-75600*h**3 - 72*h + 177462
Find the third derivative of 16065865*f**4 - 6470611*f**2 - 2*f.
385580760*f
What is the second derivative of 2979976*j**4*w**3 - j*w**3 + j*w**2 + 1046*j - 200*w**3 wrt j?
35759712*j**2*w**3
What is the third derivative of 168257468*w**3 + 324084745*w**2 wrt w?
1009544808
Differentiate -410227843*r + 7080866 wrt r.
-410227843
Find the first derivative of 3*k*y**3 - 7159510*k - 3275*y**3 - 10*y**2 wrt y.
9*k*y**2 - 9825*y**2 - 20*y
Find the third derivative of 40218442*m**3 + 95871*m**2 - 102 wrt m.
241310652
Find the third derivative of 769*a**5 + 72*a**4 + 3*a**3 + 55891837*a**2.
46140*a**2 + 1728*a + 18
What is the third derivative of 170*f**4 - 11490*f**3 + 29250983*f**2?
4080*f - 68940
What is the derivative of -16367*j**4 + 607*j**2 + j + 127488982?
-65468*j**3 + 1214*j + 1
Find the second derivative of 2435180*i**4 + 34*i**3 + 68874*i - 1940 wrt i.
29222160*i**2 + 204*i
What is the second derivative of -117372437*d**3 + 234307780*d?
-704234622*d
What is the third derivative of -164399113*q**4 + 508634203*q**2 wrt q?
-3945578712*q
Find the second derivative of -17745502*j**2*z**2 - j**2*z - 6540712 wrt z.
-35491004*j**2
Find the second derivative of -33539886*u**3 - 19234908*u wrt u.
-201239316*u
What is the third derivative of -297665726*a**6 + 7*a**2 + 9454403 wrt a?
-35719887120*a**3
What is the second derivative of -2209062*h**5 + 214168*h - 33 wrt h?
-44181240*h**3
Find the second derivative of 17591084*n**4*z**3 - 93*n*z**3 + 4*n - 364*z**3 wrt n.
211093008*n**2*z**3
What is the second derivative of -29668778*j**2*q**3 - 16683018*j*q**3 wrt j?
-59337556*q**3
What is the third derivative of 13440477*a**4*v**2 + 1211135*a**2*v + a*v**2 - 2*a*v - v**2 wrt a?
322571448*a*v**2
Find the third derivative of 21453*c**4 + 194*c**3 + 9014015*c**2.
514872*c + 1164
What is the second derivative of -34733711*c**2 - 106392259*c?
-69467422
What is the derivative of -184009*s**2*y + 31*s**2 - 334580*s - 11*y wrt y?
-184009*s**2 - 11
What is the second derivative of a**3*l**2 - 2273788*a**2*l + 24*a - 3*l**2 + 313434 wrt a?
6*a*l**2 - 4547576*l
Find the second derivative of -12430897*s**5 + 2*s**4 - 80*s - 428028.
-248617940*s**3 + 24*s**2
What is the first derivative of 101988*k**3 + 180*k**2 - 9*k + 427311449?
305964*k**2 + 360*k - 9
Find the third derivative of 6171*z**4 - 6652*z**3 + 45267*z**2 + 264*z - 1 wrt z.
148104*z - 39912
Find the third derivative of -41*a**5 + 22*a**4 - 984*a**3 - 19386446*a**2 wrt a.
-2460*a**2 + 528*a - 5904
What is the third derivative of -1267299469*h**3 - 309*h**2 + 874366*h?
-7603796814
Differentiate -3426311*b - 84042693.
-3426311
What is the third derivative of 13*o**5 + 15893*o**4 - 5*o**3 + 334*o**2 + 1601 wrt o?
780*o**2 + 381432*o - 30
What is the third derivative of 60090*k*u**4 + 4248*k*u**2 - 17*u**5 - 7*u + 7 wrt u?
1442160*k*u - 1020*u**2
What is the second derivative of 1108058*c**4 - 43*c**3 - 2*c + 80806962 wrt c?
13296696*c**2 - 258*c
What is the first derivative of -3247*m**4 - 8583*m**3*p**2 - 194*p**2 - 456258 wrt m?
-12988*m**3 - 25749*m**2*p**2
What is the second derivative of -42830252*h**5 + 73*h + 142754 wrt h?
-856605040*h**3
What is the first derivative of -64*b**3*m**3 + 91027*b**3*m**2 + 17327731*b**3 wrt m?
-192*b**3*m**2 + 182054*b**3*m
Find the second derivative of 2772240*j**5 + 3*j**3 + 89503154*j wrt j.
55444800*j**3 + 18*j
What is the third derivative of -58*s**3*v**4 - s**3*v + s**2*v - 2111646*s*v**3 + 2*s*v**2 + 2*s*v - 2*v**3 - 78112*v**2 wrt v?
-1392*s**3*v - 12669876*s - 12
Find the second derivative of 19*t*u**2*v - 4508818*t*u*v**2 - t*v**2 - 6*u**3*v**2 - 3819*u**2*v**2 wrt u.
38*t*v - 36*u*v**2 - 7638*v**2
Find the second derivative of 7*g*s**3 + 6931*g*s**2 + 123853904*g*s + 29*s**3 wrt s.
42*g*s + 13862*g + 174*s
What is the second derivative of 2*b**4 - 314522*b**2 + 11923*b - 690?
24*b**2 - 629044
What is the derivative of -25077785*u + 13286257 wrt u?
-25077785
Find the third derivative of 772*q**3*r + 350*q**3*t + 2*q**2*r*t + 132*q**2*t - 5*q*r*t - 1890*r*t + 1 wrt q.
4632*r + 2100*t
Find the second derivative of -20162782*n**2 + 2*n + 3474657 wrt n.
-40325564
Find the second derivative of -5856*f**5 - 1615*f**4 - 4493658*f + 1 wrt f.
-117120*f**3 - 19380*f**2
Find the third derivative of 8*a*f**4 + 14019321*a*f**3 - 73042*a*f**2 - 178*a + f**2 + 2*f wrt f.
192*a*f + 84115926*a
Differentiate -2*a**4 + 4093236*a - 4353341.
-8*a**3 + 4093236
Differentiate 68642008*m - 183426519.
68642008
What is the second derivative of 433560*m*s**2*y**2 + 3*m*s**2*y - 55*m*s*y**2 - 732*m*y - 455*m - 2*s**2*y + 2 wrt y?
867120*m*s**2 - 110*m*s
Find the third derivative of 412826684*s**3 - 6509*s**2 - 14605*s wrt s.
2476960104
Find the first derivative of 40*l*m*r**3 - 395*l*m - 348*l*r**3 + 187*m*r**3 + 343*m*r**2 - 14*m*r + 2*r**3 + 1 wrt l.
40*m*r**3 - 395*m - 348*r**3
Find the third derivative of -3003175*c**3*d**2 + 6*c**3 + 18092*c**2*d - 321*c**2 - 2*c*d**2 wrt c.
-18019050*d**2 + 36
Find the second derivative of 880631537*a**2*d**2 - 10*a**2*d - 14*a**2 - 249*a*d - 20*a - 13*d - 2 wrt d.
1761263074*a**2
What is the second derivative of -2347746*v**4 + 45*v**3 + 5859347*v wrt v?
-28172952*v**2 + 270*v
Find the third derivative of 726654390*a**4 + 10409*a**2 - 15169*a wrt a.
17439705360*a
Find the third derivative of 2955*b**5 - 2088*b**4 - 6*b**3 - 16154379*b**2 - 10*b - 1 wrt b.
177300*b**2 - 50112*b - 36
What is the second derivative of 74481738*i**3 - 1157*i - 70654 wrt i?
446890428*i
What is the second derivative of -142*c**3 - 5545*c**2 - c + 6905505 wrt c?
-852*c - 11090
Differentiate -3*s**2 + 2*s*t + 532158*s + 11*t + 239006 with respect to s.
-6*s + 2*t + 532158
What is the second derivative of -466*t**4 - 28*t**3 + 185*t**2 - 27956*t + 81?
-5592*t**2 - 168*t + 370
Differentiate 7177*u**3 - 13445*u + 422290172 with respect to u.
21531*u**2 - 13445
What is the third derivative of -6018955*c**2*q*y**3 - 96*c**2*q*y**2 - 2*c**2 - c*q*y**3 + 354*c*q*y**2 + q*y**2 wrt y?
-36113730*c**2*q - 6*c*q
Find the third derivative of 2763202*g**5 + 4*g**3 + 155518571*g**2 wrt g.
165792120*g**2 + 24
What is the second derivative of 202*y**3 - 591665*y**2 - 68388076*y wrt y?
1212*y - 1183330
What is the first derivative of 67752443*c**2*h**3 + 597*c**2 - 2*c*h**3 - 355*c - 9 wrt h?
203257329*c**2*h**2 - 6*c*h**2
What is the derivative of -20*c*h - 3060109*c + 99*h - 1819818 wrt c?
-20*h - 3060109
Find the third derivative of 323423753*o**5 - 13660312*o**2 + 12*o wrt o.
19405425180*o**2
What is the third derivative of 55430448*s**4 + 1025*s**2 - 25*s - 33 wrt s?
1330330752*s
What is the third derivative of -14703083*u**5 - 2462566*u**2 - 6*u?
-882184980*u**2
What is the third derivative of 194799724*y**3 - 601563833*y**2 wrt y?
1168798344
Find the second derivative of 64242967*h**2*p**3 + 5*h*p - h - 44*p**3 - 203*p wrt h.
128485934*p**3
What is the first derivative of -9158202*x - 22328800?
-9158202
What is the third derivative of -951*g**4 + 2248*g**3 + | {
"pile_set_name": "DM Mathematics"
} |
st to -137.8 in -1/6, 255, 1/5?
-1/6
Which is the closest to 32548? (a) 0.5 (b) 3 (c) -1/4 (d) 4
d
What is the closest to -1.3 in 0.3, 0, -3/8, -0.3, 11517, -6?
-3/8
What is the nearest to 0 in 15, -3/5, 1571838?
-3/5
What is the nearest to -6/121 in 2, 35, 7, 1/3?
1/3
Which is the nearest to -1469? (a) -2/3 (b) -4 (c) -3/7 (d) -1/3 (e) 1/8 (f) -450
f
What is the nearest to -1/7 in 0.49, 4, -1373, 2/7?
2/7
Which is the closest to 6/5? (a) 536 (b) -3 (c) 4 (d) -138 (e) -4
c
Which is the nearest to 22.07? (a) 2/93 (b) -19 (c) 5.8
c
What is the nearest to 0.1 in -3, -30/13, 1/3, 0.1, -12, 6?
0.1
What is the nearest to 21 in -0.524755, 0.5, -2/7?
0.5
Which is the nearest to -0.265? (a) -1 (b) -0.5 (c) -5 (d) 0 (e) -2.845
b
Which is the nearest to -0.1? (a) 136 (b) -2/55 (c) -3 (d) 0.05
b
Which is the closest to 0.14341? (a) -0.01 (b) -2/9 (c) -4 (d) -3
a
Which is the nearest to 5? (a) -2003 (b) -2/3 (c) 0.07 (d) 0.01 (e) -2/19
c
What is the closest to 1 in -0.1, -1, -19, 0.3, 2?
0.3
Which is the closest to -3? (a) 2/9 (b) -16 (c) 0.5 (d) 2/11 (e) -288.77
d
Which is the nearest to 0.219? (a) 0.037 (b) 0.1 (c) 8/3 (d) -31
b
Which is the nearest to 2/15? (a) 1/85 (b) -71 (c) -13 (d) 1 (e) -4
a
Which is the closest to -5? (a) -4/7 (b) 2064 (c) -0.2 (d) 4
a
Which is the nearest to 1.4? (a) -0.0054 (b) 732 (c) 5
a
Which is the nearest to 124/5? (a) -270 (b) 3/2 (c) -3 (d) -8 (e) 5
e
What is the nearest to -1/2 in 0.5, 4, 2/2305, 20?
2/2305
What is the closest to -1 in 183/5, -1/23, -9?
-1/23
Which is the nearest to 2? (a) 0.202 (b) -0.5 (c) 80 (d) -0.4 (e) 143
a
Which is the nearest to -0.1? (a) 565 (b) -0.1 (c) -4/29 (d) -759 (e) -0.3 (f) 1/4
b
What is the nearest to 0 in 15/13, 8, 32/7, 5?
15/13
What is the nearest to -0.1 in 37/805, 2.12, -9?
37/805
Which is the closest to -72? (a) 4826/5 (b) 4 (c) -1/4 (d) 1
c
What is the nearest to -3 in -17, -6, 6.3, -0.2?
-0.2
What is the nearest to 0 in -72.957, 4, -0.6, 0.03?
0.03
Which is the nearest to -2/5? (a) -47946 (b) -0.5 (c) 1 (d) -2.1 (e) 1.1
b
Which is the nearest to -0.1? (a) -0.82 (b) 33/7 (c) 2 (d) 9/5 (e) -0.1 (f) 0.1
e
Which is the nearest to -1? (a) 4/7 (b) -1/6 (c) -119/52 (d) 1/2 (e) -1/3
e
What is the nearest to -0.1 in -2/169, 0.03, -2.7, -3?
-2/169
What is the nearest to 2 in 3/5, -3, -4, 8/21, -134/21, 13?
3/5
What is the closest to -1 in -5, -3.14, 2, 23721?
-3.14
What is the nearest to -1 in -8, 1/3, 280211, -5?
1/3
Which is the nearest to 2.53? (a) -1/6 (b) -12485 (c) 5
c
Which is the closest to -0.1? (a) -11/8 (b) -1 (c) -3 (d) 162/127
b
Which is the closest to 5/7? (a) 1305 (b) 3 (c) -11/14 (d) -0.1
d
Which is the nearest to 0? (a) 44.337 (b) -4 (c) 2/9 (d) -3/5
c
Which is the closest to -0.2? (a) 1/2 (b) -19/5 (c) 67 (d) 0.02 (e) 0.1
d
Which is the closest to -1/4? (a) -3 (b) -38 (c) -633 (d) -0.072
d
Which is the nearest to -396099? (a) -0.5 (b) 25 (c) -3 (d) -4
d
Which is the closest to -1? (a) -16 (b) -189 (c) -9/10 (d) 3 (e) -6/5 (f) 0.3
c
What is the nearest to 0 in 0.053, -5, -33, 0, -4/15, 1?
0
What is the closest to 1 in -1/2, -32, -225, -5, 0.01?
0.01
What is the closest to 0.1 in -0.2, 0, 841458?
0
Which is the closest to -0.01? (a) -0.129 (b) 2 (c) -0.4 (d) 0 (e) -233
d
What is the nearest to 25.67 in -5, -0.5, -0.3, 1.4?
1.4
Which is the closest to 0.1952? (a) 5 (b) 4 (c) -37 (d) 1/6 (e) 0.06
d
What is the closest to -34 in 2/7, -11/4, -2/7, -2.5, 0?
-11/4
Which is the closest to -2/7? (a) -167.256 (b) 33 (c) -0.07 (d) 0 (e) 1
c
What is the closest to -0.1 in -0.26, 5, -0.553, 138?
-0.26
What is the nearest to 0.1 in -0.01512, 0, -4, 0.13, -0.3?
0.13
Which is the nearest to 8? (a) 4/9 (b) -1082.68 (c) -5
a
Which is the nearest to -5? (a) 3/19 (b) -8 (c) -0.5 (d) 6
b
What is the closest to -4 in 14/71, 158, 2, 0.1?
0.1
Which is the nearest to -5? (a) 4/13 (b) -2411/5 (c) -2/3 (d) -2/13
c
What is the closest to 22 in 0.65, 0.1, 2/17, -6?
0.65
Which is the nearest to -32.9? (a) -8 (b) 1 (c) -53
c
What is the closest to -206 in -7/5, 17, -1/4, 1/10?
-7/5
Which is the closest to 25? (a) 0.87 (b) -5623 (c) 5/2
c
Which is the nearest to 0.02? (a) -22.1 (b) 26 (c) 0.0555
c
What is the nearest to 1 in -5/6, 61, 686, -1/2?
-1/2
Which is the nearest to 1? (a) -453801 (b) -0.5 (c) 4 (d) 2/29 (e) 1 (f) 1/2
e
Which is the nearest to -1260/17? (a) 2/15 (b) -2/7 (c) 1/5 (d) -4/3
d
What is the nearest to -0.2 in 0.5, 7/6, -2.4, 75, -2/7, -0.05?
-2/7
What is the nearest to 0 in 0.3, 875/3, 1222?
0.3
Which is the closest to 2? (a) -6919.24 (b) 2 (c) 4
b
What is the closest to -0.35 in 1/37, -5, -0.1, 5, 0.072?
-0.1
What is the closest to -0.1 in 2/9, 0.4, -5, -19022?
2/9
What is the closest to 1/13 in -1797, -26, -4/9?
-4/9
Which is the closest to 1? (a) 590.6 (b) -0.2 (c) 1/8 (d) -2/15 (e) -0.044
c
Which is the nearest to 18? (a) -2 (b) 538 (c) 1/4 (d) 2/5
d
What is the closest to -0.1 in -577/7, -0.1, -4, -2?
-0.1
What is the closest to 9.2 in 2, -4, 1207, 3/8?
2
Which is the closest to 197? (a) 2/2775 (b) 0.2 (c) -1 (d) -0.1 (e) 0.1
b
Which is the closest to 59245? (a) 0.4 (b) -6/5 (c) -3 (d) 90 (e) -1/12
d
Which is the closest to 6169? (a) -0.009 (b) 7 (c) -0.5
b
What is the closest to -67092 in -1, -3, -3/13?
-3
Which is the closest to -3.78319? (a) -2/3 (b) -0.5 (c) -0.2
a
Which is the closest to -1/3? (a) 3045 (b) 4 (c) 3 (d) 208
c
What is the nearest to 3042 in 2/21, 0.02, -3/2?
2/21
What is the closest to 1.2 in -441, -2/203, -0.02?
-2/203
What is the nearest to -1/2 in 0, 9, -34/27595?
-34/27595
Which is the closest to -24/13? (a) -5 (b) 1/4 (c) -3 (d) 1/6 (e) -7.02
c
Which is the nearest to 0.1? (a) -257209 (b) -4 (c) -1
c
Which is the nearest to -98? (a) -2 (b) -4 (c) 6332 (d) -0.01 (e) 2
b
What is the closest to 264 in -1/9, -25.4, 1/2, -5, -4?
1/2
What is the nearest to -0.2 in 39, 1, 1/9, -14, -0.008?
-0.008
Which is the closest to -2/5? (a) 0 (b) -0.14 (c) 304 (d) -4 (e) -6
b
Which is the closest to -0.329? (a) 4 (b) 0.23 (c) -2/13
c
Which is the closest to 42.5? (a) 123 (b) 10/7 (c) -0.5
b
Which is the closest to 0.3? (a) 2617 (b) 3 (c) -0.5 (d) -4 (e) -2/87
e
What is the nearest to -0.1 in 7.09, -0.3, -1.88, 0.4?
-0.3
Which is the nearest to 996? (a) 2/7 (b) 4/7103 (c) 2
c
Which is the closest to 1? (a) -9 (b) 20 (c) 8 (d) 38 (e) -19
c
What is the closest to 0.084 in 3, -2/5, -3, -7?
-2/5
What is the closest to 0.18 in -3, -2, -5, 27198?
-2
What is the closest to 3/2 in -0.3, 14, -4/7, -1684, 4?
-0.3
Which is the nearest to 0.1? (a) 0.4 (b) -4/1099 (c) 2/9 (d) -0.3 (e) 23
b
Which is the closest to -224? (a) 3456 (b) 1/16 (c) 4
b
What is the closest to -0.1 in 140, 5, 1095?
5
Which is the nearest to 265? (a) 0.1 (b) 2 (c) 8 (d) -0.229 (e) -2.9
c
What is the nearest to 0 in 1, -0.1, -2/9, 225?
-0.1
What is the closest to -39 in -2.288, -4, -1?
-4
What is the nearest to -1/5 in -3, 2236.1, -2, -1/4, 14/15?
-1/4
What is the closest to -0.1 in -4/59, 3, 0.7, -174/11?
-4/59
What is the nearest to -11/8 in -3/2, 4, 25, -1?
-3/2
Which is the nearest to -2? (a) 1 (b) -3/7 (c) -86421
b
What is the closest to 0.4 in -5.1, 835, -2, -0.4, 2/65, -0.02?
2/65
What is the closest to 0 in -1, 285, -0.4, 3.4?
-0.4
Which is the closest to -3? (a) 1/370 (b) -1 (c) 2/193 (d) 0.1
b
Which is the closest to 2/5? (a) 1 (b) -3 (c) -2006722
a
Which is the closest to -2792? (a) 4 (b) 19 (c) -7
c
What is the closest to -657/106 in -0.3, -1/6, 2/11?
-0.3
Which is the nearest to 0? (a) 13117 (b) -2 (c) 33 (d) -1/7 (e) -1/8
e
Which is the closest to -1.5? (a) 0 (b) 0.3743 (c) -23 (d) -5 (e) -0.1 (f) -0.2
f
What is the nearest to 0.5 in -554, -2, -2/11, 1, -0.17?
1
What is the closest to -1.4 in 33, -4, -10, 35?
-4
Which is the nearest to -9? (a) -12/5 (b) 4 (c) 0.09 (d) -0.1 (e) -0.35 (f) -5/3
a
Which is the closest to 0? (a) 2/47 (b) -2 (c) 1516 (d) 4
a
What is the nearest to -57 in 35, -2/3, -0.85, -2/5?
-0.85
What is the nearest to 0 in 4, 2, 1274.9, 1?
1
Which is the nearest to 0.2? (a) 0.2 (b) 2/7 (c) -218384 | {
"pile_set_name": "DM Mathematics"
} |
06 = -15*m - 41. What is the greatest common divisor of m and v?
11
Let k(g) = 11*g**2 + g + 2. Let d be k(1). Let s be (28/(-6))/(3/(-72)). Calculate the greatest common factor of d and s.
14
Let x(k) = 24*k**3 - k**2 + 2*k - 2. Let p be x(1). What is the highest common divisor of 46 and p?
23
Let v be (-9)/(45/20) - 50. Let p = 63 + v. What is the highest common divisor of 27 and p?
9
Suppose 11 - 3 = 4*h. Suppose 5*x - 324 = r, 2*x + h*x + 4*r - 240 = 0. Calculate the highest common divisor of x and 16.
16
Suppose 677 + 10186 = 71*k. Let o(b) = 2*b**2 + 6*b - 3. Let w be o(-5). Calculate the highest common factor of w and k.
17
Let f(q) = q + 11. Let c be ((-2)/3)/(4/30). Let v be f(c). Suppose v = -4*a + 7*a. Calculate the highest common divisor of 3 and a.
1
Let g(a) = a**2 + 6*a - 2. Let d be g(-6). Let k be ((-28)/5)/(d/5). Suppose 6*j + 5*t = 3*j + k, 2 = -t. Calculate the highest common factor of j and 2.
2
Let m(v) = -v + 6. Let f be m(-6). Let i be 6/9*1*f. Let n(o) = o**2 + 26*o + 96. Let y be n(-22). What is the greatest common divisor of i and y?
8
Suppose -f - 1 = -5. Suppose 0*j + 124 = f*j. Let a be (4 - j)*(-1)/1. Calculate the highest common divisor of a and 9.
9
Let o = -68 + 71. Suppose -31 = -4*z + 3*z. Let i = -10 + z. Calculate the greatest common factor of o and i.
3
Let z(k) = k**3 + 14*k**2 - 16*k - 21. Let v be z(-15). Let y = v - -102. Calculate the highest common factor of y and 24.
24
Suppose -5 - 15 = 4*i, -2*w + 5*i = -33. Suppose -w*r + 2*u + 930 = 0, 4*r - 5*r - 3*u = -215. What is the greatest common factor of 10 and r?
10
Let v be 1/2*(1 + 15). Suppose 0 = -4*i - 3*s + 128, -1 - 15 = 4*s. Suppose 5*y - 5 = i. Calculate the greatest common factor of v and y.
8
Suppose -49*m - 160 = -59*m. Calculate the highest common divisor of 88 and m.
8
Suppose 23*y - 176 = -4*i + 19*y, -3*i = -4*y - 104. Calculate the highest common factor of 80 and i.
40
Suppose 4*d - 6*d = -104. Let m = d + -106. Let n = m + 79. Calculate the highest common divisor of 5 and n.
5
Let y = 45 - 43. Suppose 6*z = y*z + 36. What is the greatest common factor of 27 and z?
9
Let f(w) = 8*w**3 - 22*w**2 + 19*w + 3. Let g be f(1). Let h = 5 + -3. What is the greatest common divisor of g and h?
2
Suppose 2*d - 1360 + 1318 = 0. What is the highest common factor of 1281 and d?
21
Suppose -778 = -2*n + 182. Suppose 4*f - v = 394, -9*f - 5*v = -4*f - n. Calculate the greatest common factor of 42 and f.
14
Suppose 0 = 4*y - 6 - 38. Let b be (-3*44/10)/((-24)/160). What is the greatest common divisor of y and b?
11
Let w = 56 - 76. Let k be -9*w/24*2. Calculate the greatest common divisor of k and 20.
5
Suppose t = -3*i + 7, 5*t + 3*i = 3*t + 11. Suppose -622 = -2*u + 4*j, t*u - 1074 = -2*j + 120. Calculate the greatest common divisor of u and 43.
43
Let o(k) = -56*k + 0 - 61*k - 6 + 115*k. Let v be o(-5). Calculate the highest common factor of v and 2.
2
Suppose 54 - 374 = -40*h. What is the highest common divisor of 808 and h?
8
Let i be 5 + ((-4)/(-30) - 160/75). Let t be -13*(i - (-5 - -9)). Calculate the greatest common factor of t and 78.
13
Suppose 0 = -19*u + 25*u - 834. Let w = -127 + u. Calculate the highest common divisor of w and 54.
6
Let r be 26/((-650)/(-45))*40/6. Calculate the highest common divisor of 172 and r.
4
Let k(o) = o**2 + 11*o + 4. Let b be k(-5). Let q = 37 + b. Suppose 6*f = 7*f - q. What is the greatest common divisor of f and 99?
11
Let j(f) = 2*f - 4*f - f + 0*f - 17. Let h be j(-7). Suppose -h*k - 5*q = -375, k - 4*k - 3*q + 279 = 0. What is the highest common divisor of k and 36?
18
Let h be (-2260)/(-10) + (2*5)/(-2). What is the highest common factor of 119 and h?
17
Suppose 5*a - 10 = -2*v + 140, 5*v + 115 = 5*a. What is the highest common factor of 7 and a?
7
Suppose 0 = -2*k - 6*u + 234, 8*k - 2*u = 10*k - 238. Calculate the highest common factor of 45 and k.
15
Let c = 43 + -41. Suppose 3*r - 40 = -c*r. Suppose -10 = -4*f + 6. What is the greatest common divisor of f and r?
4
Suppose -x = 3*x - 8*x. Suppose 0 = 3*d + 2*n - 76, -d - n = -x*d - 24. Calculate the highest common factor of 42 and d.
14
Suppose -k = -3*r + 571, -14*r = -10*r + 4*k - 788. Calculate the greatest common divisor of r and 72.
24
Let n(r) be the third derivative of -5*r**4/24 - 5*r**3/2 - r**2. Let f be n(-7). Calculate the greatest common factor of 10 and f.
10
Let w(d) = -2*d**3 - 5*d**2 - 8*d - 4. Let p be w(-2). Calculate the highest common factor of p and 9.
1
Let k = -12 - -17. Let x be (-1)/7 - (16 - 2664/126). What is the highest common factor of k and x?
5
Let x(z) = 2*z - 6. Let r be x(5). Suppose -5*q + r*q = -159. Let h = -60 + q. What is the highest common divisor of h and 11?
11
Suppose 40*m - 27*m - 689 = 0. Calculate the greatest common divisor of m and 689.
53
Let a(p) = 12*p - 12. Let k(t) = t + 11. Let m be k(-3). Let l be a(m). What is the greatest common divisor of 21 and l?
21
Let c = 1553 - 662. What is the greatest common divisor of c and 22?
11
Let h = 292 - -88. Calculate the highest common factor of 19 and h.
19
Suppose -t - 3*t = -8. Suppose -21 = -5*u - t*f + f, 5*f = u - 25. Calculate the greatest common divisor of u and 40.
5
Suppose 4*m + 24 = -2*y + 408, y - 3*m - 177 = 0. Calculate the greatest common divisor of 6 and y.
6
Let z = -149 - -221. What is the greatest common factor of z and 81?
9
Let g = -39 - -17. Let l = g + 28. What is the greatest common divisor of l and 9?
3
Let g(x) be the first derivative of -x**4/4 - 4*x**3/3 - 3*x**2/2 + 3*x - 31. Let q be g(-3). Calculate the greatest common divisor of q and 6.
3
Suppose 41 = 5*h - 69. Let p be 1/(-2) + 6/12. Suppose p = -5*b + 310 + 130. Calculate the greatest common divisor of b and h.
22
Let b = 387 - 361. Calculate the greatest common divisor of 416 and b.
26
Let o be 455 + (-6)/(-5)*30/(-9). What is the greatest common divisor of o and 11?
11
Let m be (5/(-3))/(365/(-1314)). Let d be 1*(1 - -30) - 1. Calculate the greatest common divisor of d and m.
6
Let a(u) = -u**3 - 2*u**2 - 4. Let l be a(-3). Let c(v) = -v**2 + 219*v - 1469. Let b be c(7). Calculate the greatest common factor of l and b.
5
Suppose 0 = -5*o - 2*n + 385, -o + 51 = 2*n - 26. What is the greatest common divisor of o and 11?
11
Let b be (-130)/(-6) + (-14)/210*-20. Let q be ((-18)/(-4))/((-1)/(-46)). What is the highest common factor of q and b?
23
Let d(a) = 2*a + 9. Let b(y) = 3*y + 14. Let p(v) = 5*b(v) - 8*d(v). Let z be p(-4). Suppose -27 = -z*w + 9. What is the highest common factor of 2 and w?
2
Suppose 155*v = 151*v + 648. Suppose -4*a + 47 = 5*s - 30, -3*a + 55 = s. What is the greatest common divisor of a and v?
18
Suppose -6 = -d - 0*d. Suppose 22*c - 8 = 18*c. Suppose h - 5*h = c*a - 12, 3*h = a + 9. Calculate the greatest common factor of h and d.
3
Suppose 5*m = -25, 5*b + m = 4*m + 820. Suppose 2181 = 10*u + 1951. Calculate the highest common divisor of u and b.
23
Let f(d) be the third derivative of -1/60*d**5 + 2/3*d**4 + 0 + 7*d**2 - d**3 + 0*d. Let u be f(8). What is the highest common divisor of 29 and u?
29
Suppose 2*w - 120 = -2*w. Let d(l) = -2*l**3 + 3*l**2 + 4*l + 3. Let a be d(-2). Suppose -4*f + 57 = -a. What is the greatest common divisor of f and w?
10
Let s be 164/(-10) - 2/(-5). Let o be ((-72)/(-32))/(6/80). Let q = o + s. Calculate the highest common divisor of q and 21.
7
Let z = 76 + -54. Suppose 2*m - 4 - z = 0. Calculate the greatest common divisor of 13 and m.
13
Let f be (12 - (-2)/(-1)) + -1. Let c(j) = 6*j. Let o be c(3). What is the highest common divisor of o and f?
9
Let l = -449 - -491. What is the greatest common divisor of l and 98?
14
Suppose 0 = -0*r - 8*r + 1824. What is the highest common divisor of 57 and r?
57
Let j = -368 + 843. What is the greatest common factor of 25 and j?
25
Let s be (204/(-8))/3*-4. Let a = -16 + s. Calculate the highest common divisor of a and 9.
9
Suppose 12*r = 15*r - 81. Suppose 2*t + 17 = 23. What is the highest common factor of t and r?
3
Let l be ((6/6)/(-1))/((-3)/57). Calculate the greatest common factor of 38 and l.
19
Let n(d) = 100*d**2 - 2*d + 2. Let l = 33 - 32. Let x be n(l). What is the greatest common divisor of 20 and x?
20
Let v(d) = -6*d - 7. Let b be v(-2). Let h = b + 6. What i | {
"pile_set_name": "DM Mathematics"
} |
25
What is the square root of 64346 to the nearest integer?
254
What is 1230336 to the power of 1/8, to the nearest integer?
6
What is the cube root of 71479 to the nearest integer?
42
What is 4173243 to the power of 1/2, to the nearest integer?
2043
What is 3469834 to the power of 1/3, to the nearest integer?
151
What is the cube root of 14241387 to the nearest integer?
242
What is the third root of 1324175 to the nearest integer?
110
What is the fifth root of 9968870 to the nearest integer?
25
What is the ninth root of 10876474 to the nearest integer?
6
What is the fifth root of 624521 to the nearest integer?
14
What is the tenth root of 765697 to the nearest integer?
4
What is 11533591 to the power of 1/8, to the nearest integer?
8
What is 7871871 to the power of 1/9, to the nearest integer?
6
What is 25619225 to the power of 1/2, to the nearest integer?
5062
What is 22160861 to the power of 1/3, to the nearest integer?
281
What is the third root of 23853220 to the nearest integer?
288
What is 242397 to the power of 1/9, to the nearest integer?
4
What is the third root of 2427343 to the nearest integer?
134
What is the square root of 123617 to the nearest integer?
352
What is 944805 to the power of 1/2, to the nearest integer?
972
What is 988452 to the power of 1/9, to the nearest integer?
5
What is the fifth root of 177101 to the nearest integer?
11
What is the third root of 5530520 to the nearest integer?
177
What is the cube root of 316083 to the nearest integer?
68
What is the seventh root of 4985 to the nearest integer?
3
What is the third root of 221664 to the nearest integer?
61
What is 13286408 to the power of 1/10, to the nearest integer?
5
What is the square root of 3165458 to the nearest integer?
1779
What is the tenth root of 1165853 to the nearest integer?
4
What is 12141245 to the power of 1/8, to the nearest integer?
8
What is 7145332 to the power of 1/2, to the nearest integer?
2673
What is the square root of 449565 to the nearest integer?
670
What is the third root of 1214621 to the nearest integer?
107
What is the square root of 5384257 to the nearest integer?
2320
What is 206563 to the power of 1/8, to the nearest integer?
5
What is 8313645 to the power of 1/10, to the nearest integer?
5
What is the cube root of 8400 to the nearest integer?
20
What is 3009602 to the power of 1/3, to the nearest integer?
144
What is 2065948 to the power of 1/3, to the nearest integer?
127
What is the cube root of 4728525 to the nearest integer?
168
What is the square root of 4895951 to the nearest integer?
2213
What is 637809 to the power of 1/2, to the nearest integer?
799
What is the third root of 1576996 to the nearest integer?
116
What is 419577 to the power of 1/3, to the nearest integer?
75
What is the third root of 589481 to the nearest integer?
84
What is 1118970 to the power of 1/2, to the nearest integer?
1058
What is 3755986 to the power of 1/2, to the nearest integer?
1938
What is the third root of 697108 to the nearest integer?
89
What is 996686 to the power of 1/3, to the nearest integer?
100
What is the seventh root of 15506637 to the nearest integer?
11
What is the fifth root of 1203928 to the nearest integer?
16
What is the fifth root of 43293 to the nearest integer?
8
What is 3536808 to the power of 1/8, to the nearest integer?
7
What is the square root of 8672874 to the nearest integer?
2945
What is the third root of 4316525 to the nearest integer?
163
What is the square root of 2233995 to the nearest integer?
1495
What is the third root of 175034 to the nearest integer?
56
What is the third root of 5696789 to the nearest integer?
179
What is the third root of 197035 to the nearest integer?
58
What is the square root of 138492 to the nearest integer?
372
What is 80614 to the power of 1/7, to the nearest integer?
5
What is 2217547 to the power of 1/2, to the nearest integer?
1489
What is the fourth root of 26262583 to the nearest integer?
72
What is the ninth root of 6333504 to the nearest integer?
6
What is the fifth root of 88722 to the nearest integer?
10
What is 769217 to the power of 1/7, to the nearest integer?
7
What is the third root of 91511 to the nearest integer?
45
What is 102025 to the power of 1/6, to the nearest integer?
7
What is 420267 to the power of 1/3, to the nearest integer?
75
What is 24803760 to the power of 1/4, to the nearest integer?
71
What is the third root of 1031994 to the nearest integer?
101
What is the eighth root of 1322317 to the nearest integer?
6
What is 725118 to the power of 1/7, to the nearest integer?
7
What is 9257244 to the power of 1/7, to the nearest integer?
10
What is the third root of 1272073 to the nearest integer?
108
What is 269818 to the power of 1/3, to the nearest integer?
65
What is 354599 to the power of 1/7, to the nearest integer?
6
What is the tenth root of 436955 to the nearest integer?
4
What is the cube root of 6519101 to the nearest integer?
187
What is the cube root of 210222 to the nearest integer?
59
What is 30370 to the power of 1/10, to the nearest integer?
3
What is the square root of 306303 to the nearest integer?
553
What is 6924960 to the power of 1/6, to the nearest integer?
14
What is the cube root of 30810788 to the nearest integer?
313
What is the square root of 256563 to the nearest integer?
507
What is the ninth root of 874583 to the nearest integer?
5
What is the cube root of 2172982 to the nearest integer?
130
What is the tenth root of 36846948 to the nearest integer?
6
What is 966905 to the power of 1/2, to the nearest integer?
983
What is the cube root of 9659269 to the nearest integer?
213
What is the square root of 15293630 to the nearest integer?
3911
What is the cube root of 209006 to the nearest integer?
59
What is the cube root of 27169612 to the nearest integer?
301
What is the third root of 214902 to the nearest integer?
60
What is 22556566 to the power of 1/3, to the nearest integer?
283
What is the third root of 16394 to the nearest integer?
25
What is 5080583 to the power of 1/2, to the nearest integer?
2254
What is 1788688 to the power of 1/8, to the nearest integer?
6
What is the cube root of 1389324 to the nearest integer?
112
What is 27693543 to the power of 1/2, to the nearest integer?
5262
What is the tenth root of 850659 to the nearest integer?
4
What is the square root of 2788939 to the nearest integer?
1670
What is the square root of 82365 to the nearest integer?
287
What is the fourth root of 437534 to the nearest integer?
26
What is 1397396 to the power of 1/2, to the nearest integer?
1182
What is 199330 to the power of 1/2, to the nearest integer?
446
What is 1998408 to the power of 1/8, to the nearest integer?
6
What is 2240682 to the power of 1/9, to the nearest integer?
5
What is 871714 to the power of 1/2, to the nearest integer?
934
What is the ninth root of 3770243 to the nearest integer?
5
What is the third root of 5893 to the nearest integer?
18
What is the seventh root of 466492 to the nearest integer?
6
What is the tenth root of 1113372 to the nearest integer?
4
What is the cube root of 36119 to the nearest integer?
33
What is 5425285 to the power of 1/2, to the nearest integer?
2329
What is the tenth root of 1246743 to the nearest integer?
4
What is the third root of 6029177 to the nearest integer?
182
What is 245038 to the power of 1/3, to the nearest integer?
63
What is 1368969 to the power of 1/3, to the nearest integer?
111
What is the third root of 217366 to the nearest integer?
60
What is the cube root of 135520 to the nearest integer?
51
What is the third root of 2623399 to the nearest integer?
138
What is the cube root of 20072 to the nearest integer?
27
What is 982125 to the power of 1/8, to the nearest integer?
6
What is 479011 to the power of 1/7, to the nearest integer?
6
What is 22941146 to the power of 1/2, to the nearest integer?
4790
What is the third root of 5823921 to the nearest integer?
180
What is 1055645 to the power of 1/7, to the nearest integer?
7
What is the third root of 1217661 to the nearest integer?
107
What is the third root of 2409302 to the nearest integer?
134
What is 515652 to the power of 1/8, to the nearest integer?
5
What is the third root of 8664510 to the nearest | {
"pile_set_name": "DM Mathematics"
} |
Let c be z/(4/3) + 5 + -2. Calculate the highest common factor of c and 66.
6
Suppose 154 + 341 = 5*q. Let r be -99*(6/18)/(-1). What is the greatest common divisor of r and q?
33
Let a be (-8 - 25/(-5)) + 20. Let t(c) = c**2 - 12*c - 15. Let b be t(a). What is the greatest common divisor of b and 30?
10
Suppose -3*n + 36 = -0*n. Suppose -11561 = -150*r + 8239. Calculate the greatest common factor of r and n.
12
Let v(w) = 20*w**2 + w - 1. Let q be v(1). Let d = 45 + -37. Calculate the greatest common divisor of d and q.
4
Let k(r) = -3*r - 41. Let j be k(-17). Let a be (30/1)/(3/j). What is the highest common factor of a and 40?
20
Let v(z) = 8*z**2 + 39*z + 270. Let k be v(-9). What is the highest common divisor of 162 and k?
81
Let r(x) = x**3 - 5*x**2 + 6*x - 1. Let w be r(4). Let u be (38/3 - -2) + 20/(-30). Calculate the greatest common divisor of u and w.
7
Let m(t) = t**2 + 4*t + 6. Let i be m(-3). Let d be 4 + i/9*15. What is the greatest common divisor of d and 9?
9
Let u = -660 - -663. Calculate the highest common divisor of u and 25.
1
Let d = -8 - -30. Let a(u) = -6*u - 4. Let o be a(-5). Let b = o - d. Calculate the highest common factor of 20 and b.
4
Let n = -45 + 24. Let y = 43 + n. What is the highest common divisor of 154 and y?
22
Suppose o - 45 = -5*a - 6, -o + 15 = 2*a. Suppose -2*t + 120 = -2*n, -5*n - 7 - a = 0. Calculate the highest common factor of 38 and t.
19
Let a be ((-4)/6)/(4/(-18)). Let c = 28 + -16. Let q be 35 + -3*8/c. What is the greatest common factor of a and q?
3
Let v be -22*((-1)/(-2) + -1). Let t = 2 + 36. Suppose 3*w + 5 = t. Calculate the highest common factor of v and w.
11
Let l be 2/((4/(-48))/(-1)). Let t be ((-156)/16)/((-9)/l). What is the greatest common divisor of 13 and t?
13
Let o(m) = -2*m - 1. Let l be o(1). Let j be 2*(3/6 - l). Let s(b) = -5*b - 4. Let q be s(-5). Calculate the highest common divisor of j and q.
7
Let j be (3 + -2 - 0) + 3. Suppose 5*o + 34 = 2*b, 0 = j*b + b + o - 58. What is the highest common divisor of b and 96?
12
Suppose -3*c = 3*c - 36. Suppose 2*o - 3*o = 3*w - 184, -c = -2*w. Suppose -3 = -3*d - 0, 171 = 5*n - 4*d. Calculate the highest common factor of o and n.
35
Let u be ((-3)/((-18)/(-8)))/((-44)/33) + 2. Let t(n) = 4*n**2 + 2*n. Let l be t(-2). What is the greatest common divisor of l and u?
3
Let t(y) = -y - 4. Let w be t(-6). Suppose 0*c = 3*c + 5*o - 55, c + 15 = 5*o. What is the highest common factor of w and c?
2
Suppose 0 = 3*d - 7*d + 240. Let r = -24 + 28. Suppose -m = 2*g - 34, 7*g - 65 = r*g - 5*m. Calculate the greatest common divisor of d and g.
15
Suppose 0 = -5*k + 5, j = -2*k - 22 + 259. Calculate the highest common factor of 423 and j.
47
Suppose 4*p + 3*x - 85 = 0, -3*x - 140 = -0*p - 5*p. Calculate the greatest common divisor of 1025 and p.
25
Let b be ((-6)/10)/(90/(-825))*28. Calculate the greatest common factor of b and 231.
77
Let a be 126/4 + (-175)/(-70). Calculate the greatest common divisor of a and 459.
17
Suppose -4*n + 3*j + 176 = 0, 6*n - 3*j - 44 = 5*n. What is the greatest common divisor of 242 and n?
22
Let d be ((-21)/2)/(46/(-276)). What is the highest common factor of 231 and d?
21
Suppose 1 = -5*g + 21. Suppose 8 = 2*x, -5 = -3*f + 2*x - 1. Suppose f*p + 0*p = g. Calculate the highest common factor of p and 1.
1
Let j be 162/36*280/12. Calculate the highest common divisor of 30 and j.
15
Suppose -n + 12 + 9 = 0. Suppose -5*h + 56 = n. Let b = 47 + 2. Calculate the greatest common divisor of b and h.
7
Let c = -250 - -292. Calculate the greatest common divisor of 147 and c.
21
Suppose -5*c = 3*k - 104, 5*k + 48 - 180 = 2*c. Calculate the highest common divisor of k and 21.
7
Let v be (5 - 3685/(-75)) + (-8)/60. What is the highest common factor of 90 and v?
18
Let t = -17 + 15. Let n be (-6)/(-6) - (t - 0). Suppose 3*i = n*d + 99, -3*d = d + 4. What is the greatest common divisor of 16 and i?
16
Let g(f) = 6*f**3 + 9*f**2 + 4*f - 3. Let q be g(-3). Let t = q - -141. Calculate the highest common divisor of 9 and t.
9
Let l(z) = -z**3 + 3*z**2 + 5*z - 1. Let o be l(4). Suppose 16 = 3*a - o*x - 11, -x = -3. What is the highest common factor of 12 and a?
12
Let l be (4/(-10))/((-5)/(50/4)). Let j be (-3*l/5)/(17/(-85)). What is the greatest common divisor of j and 33?
3
Let t(k) = -23*k + 5. Let p(v) = -v**3 - 7*v**2 - v - 9. Let w be p(-7). Let z be t(w). Calculate the greatest common factor of 17 and z.
17
Suppose -27*s + 38334 = 6258. What is the greatest common divisor of 216 and s?
108
Let v be 384 + 12/3 + -1. Let f = -45 - -88. What is the highest common factor of f and v?
43
Let k = 1 + -1. Suppose k*o - 14 = -o. Let d(y) = -y + 3. Let j be d(-4). Calculate the highest common divisor of j and o.
7
Let w = 49 + -35. Suppose s + s = -w. Let z(i) = i**2 + 2*i - 9. Let j be z(s). Calculate the highest common divisor of j and 39.
13
Suppose -3*q = -6*q + 108. Let n(m) = m**3 + 6*m + 3*m**3 - 4*m**3 + 5*m**2 - m**3 + 4. Let d be n(6). What is the highest common factor of q and d?
4
Let t = -560 - -576. What is the highest common factor of t and 16?
16
Let c = 2090 - 1145. What is the highest common divisor of c and 21?
21
Suppose -19*g - 13*g + 3520 = 0. Calculate the highest common factor of 55 and g.
55
Suppose -147 - 42 = -3*l. Suppose -3*h - 40 = -6*h + 4*w, -3*w - l = -5*h. What is the highest common divisor of 96 and h?
12
Let w(g) = g**2 + 27*g - 24. Let k be w(-28). Suppose 3*z + 2*r - 75 = -2*z, -k*z + r = -47. What is the highest common factor of 65 and z?
13
Let w = 1 + 1. Let d be w/4*118 + -3. Let y be (3 - 68/(-6)) + 3/(-9). Calculate the greatest common divisor of d and y.
14
Suppose 3*y - 89 = -4*p + 102, 4*p - 215 = 5*y. Let r be 2/5 - (-138)/30. What is the greatest common divisor of p and r?
5
Let y(j) = -3*j**3 + 38*j + 2 - 40*j + j**2 - 4*j**2 - j**2. Let t be y(-2). What is the highest common divisor of 14 and t?
14
Suppose m + 4*x = -x + 65, -5*m - 5*x + 305 = 0. Let r(b) = 4*b**2 + 30*b + 164. Let t be r(-7). What is the highest common factor of t and m?
30
Let u(b) = -6*b**3 - 3*b**2 + 3*b - 5. Let l be u(-4). Calculate the highest common factor of l and 29.
29
Suppose -2*h + 20 = -8. Suppose -2*u + 3*t = -h, -3*u - 4*t = -5*t - 14. Calculate the highest common factor of u and 4.
4
Suppose 10*h - 4 = 8*h. Let q(g) = 71*g + 2. Let d be q(h). Calculate the highest common factor of d and 18.
18
Suppose 18*k - 224 = -14*k. What is the greatest common divisor of k and 13?
1
Suppose -2*s - s = -2*m + 12, 4*m = 2*s + 8. Let b be (4 + -2)/(1/s). Let h be 1/(-2)*(-10 - b). Calculate the highest common divisor of 7 and h.
1
Let v(r) = -9*r - 60. Suppose -2*d + 3*c - 3 = 0, -d = -2*c - 2*c - 11. Let k be v(d). Calculate the highest common divisor of k and 42.
21
Suppose 0 = 4*u - 596 - 144. Calculate the greatest common factor of u and 222.
37
Let d(y) = 29*y - 102. Let q be d(6). Let z = 10 - -8. Calculate the greatest common factor of z and q.
18
Suppose 0 = -3*q - 4*i + 24, -2*q + 4*i + 8 = -8. Let x = q - 8. Suppose 240 = -x*c + 5*c. Calculate the highest common divisor of 12 and c.
12
Let g be (0 - 1)/((-18)/4536). What is the highest common factor of g and 36?
36
Let p(l) = -2*l**2 - 35*l - 40. Let a be p(-17). Let s = 45 + a. What is the highest common factor of s and 88?
22
Let x = 1047 + -979. Calculate the greatest common divisor of x and 2312.
68
Let s be 2/(-7) + (-422)/(-7). Let d be 2/4*-274*4/4. Let k be 14/315*-5 - d/9. Calculate the highest common divisor of s and k.
15
Suppose -5*g + 116 = -4*i - 79, -2*g - i + 65 = 0. Let y be 15 + (-1)/(1/1). Calculate the highest common divisor of y and g.
7
Let c be (9/6 - 2)*-12. Let h be (14*2)/(16/8). Suppose 3*s - 13 = h. Calculate the highest common divisor of c and s.
3
Let u be 279 + (-2)/2*-1. Let m be (224 - 219)/(((-1)/(-1))/7). Calculate the highest common factor of u and m.
35
Suppose 22*t - 3050 - 9578 = 0. Calculate the highest common divisor of t and 246.
82
Suppose 5*v - 2*i = 406 - 79, 0 = 2*i + 2. Suppose -2*g + 7*g = v. Calculate the highest common divisor of g and 117.
13
Suppose -6 = 2*a - 4*a. Suppose 0 = 2*f + 110 - 38. Let p be (f/(-16))/(-9) + (-122)/(-8). What is the highest common divisor of p and a?
3
Suppose -760 = -3* | {
"pile_set_name": "DM Mathematics"
} |
+ 8*q - 13*q**4 + 36*q**2.
-4*q*(q - 1)*(q + 1)*(9*q + 2)
Let b(z) = -3*z - 4. Let s(p) = -2*p - 3. Let k(x) = -3*b(x) + 4*s(x). Let a(w) = -2*w**2 - 2*w - 4. Let m(l) = a(l) - 4*k(l). Factor m(n).
-2*(n + 1)*(n + 2)
Determine o, given that 15*o**2 + 8*o**2 - 25*o**3 + 10*o**4 - 5*o - 3*o**2 = 0.
0, 1/2, 1
Suppose 3*c - 15 = -6. Let z(x) be the first derivative of 0*x + 1/4*x**4 - 1 + 0*x**c - 1/2*x**2. Factor z(y).
y*(y - 1)*(y + 1)
Suppose 0 = 4*g + 12, 5*h + 5*g + 11 = 1. Let t be 1/1 + 1/h. Solve 3*l**t + l**2 - 2*l**4 - 1 - 1 = 0 for l.
-1, 1
Let g(i) be the first derivative of i**7/70 + i**6/24 - i**5/60 - 5*i**4/24 - i**3/3 - i**2/2 + 3. Let h(f) be the second derivative of g(f). Factor h(d).
(d - 1)*(d + 1)**2*(3*d + 2)
Let m(g) be the first derivative of -g**4 + 4*g**3/3 + 6. Factor m(l).
-4*l**2*(l - 1)
Let m(i) be the second derivative of -i**4/4 - i**3 + 11*i. Factor m(c).
-3*c*(c + 2)
Suppose -57 = -q - g - 0*g, 0 = q + 5*g - 73. Factor -4*k + 2*k**4 + q*k**3 - 6*k**2 - 53*k**3.
2*k*(k - 2)*(k + 1)**2
Suppose -12 = 3*j - 2*j - 3*o, -2*o = 5*j - 8. Let 0*k**2 + j*k - 2/5*k**3 + 0 = 0. Calculate k.
0
Let x(g) = 10*g**3 - 14*g**2 - 6*g - 6. Let k(q) = -q**3 + q**2 + q + 1. Let j(l) = -6*k(l) - x(l). What is s in j(s) = 0?
0, 2
Let k(n) be the second derivative of 0 + 0*n**5 - 4*n + 2/195*n**6 - 1/273*n**7 + 0*n**2 + 1/39*n**3 - 1/39*n**4. Suppose k(q) = 0. What is q?
-1, 0, 1
Let l = -2143/11 - -195. Factor -4/11*w**3 + 2/11 + 4/11*w - l*w**4 + 0*w**2.
-2*(w - 1)*(w + 1)**3/11
Let m(q) = -3*q**4 - 6*q**3 + 5*q**2 - 8. Let n(t) = -2*t**4 - 4*t**3 + 3*t**2 - 5. Let d(w) = 5*m(w) - 8*n(w). Suppose d(i) = 0. What is i?
-1, 0
Let v(j) = -6*j**3 - 9*j**2 + 12*j + 9. Let m(b) = 12*b**3 + 18*b**2 - 23*b - 17. Let i(w) = 3*m(w) + 5*v(w). Find z such that i(z) = 0.
-2, -1/2, 1
Let b(s) be the second derivative of -s**4/3 - 2*s**3/3 - 9*s. What is h in b(h) = 0?
-1, 0
Let s(k) = -9*k + 45. Let x be s(5). Factor x + 1/2*q**3 + 1/2*q**4 + 0*q - 1/2*q**2 - 1/2*q**5.
-q**2*(q - 1)**2*(q + 1)/2
Let z(m) be the second derivative of m**7/336 - m**6/120 - 16*m. Factor z(q).
q**4*(q - 2)/8
Let k(h) be the first derivative of 0*h**2 - 1/3*h**6 - 4 - 1/2*h**4 - 1/9*h**3 + 0*h - 11/15*h**5. Find a, given that k(a) = 0.
-1, -1/2, -1/3, 0
Determine t, given that 13 - 50*t - 3*t**2 + t**2 + 3 + 64*t = 0.
-1, 8
Let r(g) be the third derivative of 2*g**5/105 + 5*g**4/84 + g**3/21 + 5*g**2. Factor r(i).
2*(i + 1)*(4*i + 1)/7
Determine t so that 0*t - 2/15 + 0*t**3 + 4/15*t**2 - 2/15*t**4 = 0.
-1, 1
Suppose o + 4*l + 6 = 0, -3*o - o - l + 6 = 0. Factor -2*i**4 - i**2 + 2*i**5 + i**o.
2*i**4*(i - 1)
Let y(w) be the third derivative of -1/3*w**3 + 0*w + 1/40*w**5 + 1/360*w**6 + 0 + w**2 + 1/12*w**4. Let l(d) be the first derivative of y(d). Factor l(x).
(x + 1)*(x + 2)
Let b = 234 - 231. Solve 1/3*p + 0*p**2 - 1/3*p**b + 0 = 0.
-1, 0, 1
Let i = -357 - -1791/5. Factor -6/5*w**3 + i*w + 0*w**2 + 3/5 - 3/5*w**4.
-3*(w - 1)*(w + 1)**3/5
Let i(y) be the third derivative of y**8/1344 + y**7/120 + 19*y**6/480 + 5*y**5/48 + y**4/6 + y**3/6 + 5*y**2. Let i(t) = 0. What is t?
-2, -1
Solve -196/5 - 28/5*k - 1/5*k**2 = 0 for k.
-14
Let y be (17 + -18)/((-2)/6). Let q be (-2)/(-10) + y/35. Determine l, given that -2/7*l**2 + q*l + 2/7 - 2/7*l**3 = 0.
-1, 1
Let d(w) be the second derivative of w**6/1080 + w**5/180 + w**4/72 - w**3/6 - 5*w. Let c(m) be the second derivative of d(m). Factor c(g).
(g + 1)**2/3
Let q = 0 + 2. Let x(v) be the first derivative of -3 + 1/14*v**4 - 1/7*v**q + 2/7*v - 2/21*v**3. What is d in x(d) = 0?
-1, 1
Let g = 42 + -41. Factor -114*o**2 - 328*o**3 - 35/2*o - g - 352*o**4.
-(4*o + 1)**3*(11*o + 2)/2
Let z(s) be the third derivative of -s**5/30 - s**4/12 + 2*s**3/3 - 9*s**2. Factor z(i).
-2*(i - 1)*(i + 2)
Let w(m) be the first derivative of -m**7/420 + m**6/90 - m**5/60 - m**3 + 2. Let x(y) be the third derivative of w(y). Determine h so that x(h) = 0.
0, 1
Let i(y) = -y**3 + 4*y**2 + y - 1. Let a be i(4). Let n be (a/(-5))/((-1)/5). What is s in -2 - 2*s**2 - 5*s + 4*s + n*s**2 = 0?
-1, 2
Let l be (60/(-300))/((4/10)/(-1)). Suppose l - 1/2*p**2 + 0*p = 0. What is p?
-1, 1
Let b = 44 - 87/2. What is t in -1/2*t**2 + 0 - b*t = 0?
-1, 0
Let m(z) be the second derivative of z**7/273 - z**6/195 - z**5/130 + z**4/78 + 18*z. Factor m(j).
2*j**2*(j - 1)**2*(j + 1)/13
Suppose 8*t**3 + 7*t**2 - 4*t - 14*t**5 + 6*t**3 + 3*t**2 - 10*t**4 + 4*t**3 = 0. Calculate t.
-1, 0, 2/7, 1
Find s, given that 8*s**3 - 8*s**2 - 5*s**3 - 12*s**3 + 4*s**5 + 4*s + 4 + s**3 + 4*s**4 = 0.
-1, 1
Let z(y) be the second derivative of -2*y**7/21 + 2*y**6/3 - 6*y**5/5 - 2*y**4/3 + 14*y**3/3 - 6*y**2 - 34*y. Solve z(t) = 0 for t.
-1, 1, 3
Let s(g) be the first derivative of 1/20*g**5 + 2 + g - 2*g**2 + 0*g**3 + 1/4*g**4. Let c(w) be the first derivative of s(w). Let c(o) = 0. What is o?
-2, 1
Factor 0 + 0*p - 10/9*p**3 + 2/9*p**4 + 0*p**2.
2*p**3*(p - 5)/9
Suppose z + 2 = 4. Let -5*c**5 - c**5 + 3*c**5 - 28*c**4 - 86*c**z - 73*c**3 - c**5 - 8 - 44*c = 0. What is c?
-2, -1/2
Let p(d) be the third derivative of -d**5/140 - d**4/4 - 7*d**3/2 + 21*d**2. Factor p(i).
-3*(i + 7)**2/7
Let l = -2321/5 + 467. Let -18/5*h**2 + 2*h**3 - 2*h + 4/5 + l*h**4 = 0. What is h?
-1, 2/7, 1
Let i(h) be the second derivative of -1/4*h**4 + 0 + 1/3*h**3 - 1/42*h**7 - 1/20*h**5 + 0*h**2 + 1/10*h**6 + 8*h. Solve i(p) = 0 for p.
-1, 0, 1, 2
Let r(s) be the second derivative of s**4/4 + s**3/2 - 3*s**2 - 5*s. Solve r(y) = 0 for y.
-2, 1
Let c be 2 + 0 + 1 + 9. Factor -24*j - 5 - 11 + 5*j**3 - c*j**2 - 7*j**3.
-2*(j + 2)**3
Let g(d) = d**2 - 1. Let s be g(2). Suppose 33 = 3*v - s*q, 10 = -3*q + q. Determine r so that v + 3/2*r**2 - 6*r = 0.
2
Suppose -147/2*s + 21/2*s**2 + 343/2 - 1/2*s**3 = 0. What is s?
7
Suppose -4*a - 2*d = 2*d - 52, 4*a - 44 = -2*d. Let g = a + -5. Factor -3*k**2 - 4*k - g*k - 1 - 3 + 0*k**2.
-(k + 2)*(3*k + 2)
Let o(l) be the first derivative of -1/14*l**4 - 5/7*l**2 - 4/7*l - 2 - 8/21*l**3. Let o(z) = 0. What is z?
-2, -1
Determine x so that 1/4*x**4 + 0 + 0*x - 1/4*x**2 + 0*x**3 = 0.
-1, 0, 1
Let d(l) = l**3 - 5*l**2. Let o(r) be the second derivative of 0*r**3 + 0 + 3/20*r**5 - 7/6*r**4 - 2*r + 0*r**2. Let c(m) = 11*d(m) - 4*o(m). Factor c(n).
-n**2*(n - 1)
Let w(t) = -36*t**4 - 21*t**3 - t**2 + 3*t - 3. Let u(s) = -s**3 - s**2 - s + 1. Let d(n) = -3*u(n) - w(n). Find c such that d(c) = 0.
-1/3, 0
Let f(i) be the first derivative of -7/6*i**3 - 4 - 1/2*i**4 - i**2 + 2*i. Let z(s) be the first derivative of f(s). Suppose z(q) = 0. What is q?
-2/3, -1/2
Let l = -8 + 4. Let p be 24/27*(-1)/l. What is w in p*w**2 + 0 + 4/9*w = 0?
-2, 0
Let u be (5/(-20))/(10/(-8)). Let s = -1 + 1. Factor -1/5*q**5 + s - 1/5*q**4 + 0*q + 1/5*q**2 + u*q**3.
-q**2*(q - 1)*(q + 1)**2/5
Let y = 15/28 - 31/84. Factor 0 - 1/6*n**3 - y*n + 1/3*n**2.
-n*(n - 1)**2/6
Let y(v) be the first derivative of 1/8*v**4 + 5/4*v**2 + 2/3*v**3 - 3 + v. Solve y(a) = 0.
-2, -1
Let a(d) = 10*d**2 + 11*d + 1. Let q(r) = -10*r**2 - 10*r. Let u(b) = 4*a(b) + 5*q(b). Factor u(t).
-2*(t + 1)*(5*t - 2)
Let q(s) = -2*s**2 - 13*s + 2. Let g(a) = -3*a**2 - 27*a + 3. Let y(n) = 4*g(n) - 9*q(n). Determine v, given that y(v) = 0.
-2, 1/2
Let y(t) be the first derivative of -t**5/30 + t**3/9 - 2*t - 2. Let u(h) be the first derivative of y(h). Factor u(b).
-2*b*(b - 1)*(b + 1)/3
Let j = 44 + -42. Let -2/5*m**4 - 8/5*m**3 + 8/5*m**5 + 0*m + 2/5*m**j + 0 = 0. Calculate m.
-1, 0, 1/4, 1
Let p be 0/(-3) + 0 - (-1 + 1). Let x(z) be the second derivative of 3*z + 0*z**2 + 0 - 1/27*z**4 + 1/90*z**5 + p*z**3. Factor x(u).
2*u**2*(u - 2)/9
Let s be (-4)/(-50)*(-5)/(-588). Let a(p) be the third derivative of -1/84*p**4 + 0*p**6 + 0*p**3 + 4*p**2 + s*p**7 + 0*p - 1/140*p**5 + 0. Factor a(v).
v*(v - 2)*(v + 1)**2/7
Let q(w) be the third derivative of 1/60*w**6 - 1/4*w**4 + 2/3*w**3 + 4*w**2 + 0*w**5 + 0 + 0*w. Factor q(c).
2*(c - 1)**2*(c + 2)
Suppose 0 = -2*v - 2 + 8. Suppose -x = v*x. Solve -2/11*g**2 + 2/11 + x*g = 0.
-1, 1
Factor -2/15*g**2 + 0*g + 0.
-2*g**2/15
Suppose -5*l = 4*w - 30, -2*l + 45*w - 46*w = -9. Let 0*t**l + 1/4*t - 1/4*t**3 + 0 = 0. Calculate t.
-1, 0, 1
Let k be (2/6)/((-1)/(-6)). Factor 3*h**3 - 2*h**2 + k*h**2 + h**5 - 2*h**3 | {
"pile_set_name": "DM Mathematics"
} |
Is q(8) a prime number?
True
Suppose 18 = -c - 5*v, 2*v = 2*c + 2*c + 28. Let k(a) = a**2 - 44*a + 21. Let n be k(23). Is c/12*n/4 prime?
False
Let h(k) = 434*k**3 + 2*k**2 - 3*k + 1. Let o be h(1). Suppose n + 5*l - o = 0, -n - 5*l + 10*l + 404 = 0. Is n a prime number?
True
Let u be (4*1 - 156/36)*-3. Let s(m) be the first derivative of 48*m**3 - m + 1. Is s(u) a prime number?
False
Suppose 23*t - 54 = 5*t. Suppose m = -t*n + n + 2083, 4*n + 4*m - 4168 = 0. Is n composite?
True
Let a(j) = -2*j**2 - 2*j + 17. Let p be a(15). Let h = -200 - p. Is h prime?
True
Suppose 0 = -2*c - 6, -2*y + 4*y - 394 = -2*c. Suppose o + s = -0*s + 50, 4*o - y = 2*s. Let i = -17 + o. Is i a prime number?
False
Let x be 26/(2/(-12)*-3). Let q = 25 + x. Is q prime?
False
Let w = 11 - 26. Let y be (-10)/(-35) + 690/(-14). Let g = w - y. Is g composite?
True
Let y(x) = 51*x - 6. Let n be y(4). Suppose 0 = 4*p, p + n = 3*r + 2*p. Suppose 3*d = 3 + r. Is d a prime number?
True
Suppose -4*i + 8081 + 46711 = 0. Suppose -2*c = n - 10848, 2*c - 2*n - 27111 = -3*c. Suppose 5*a - i + c = 0. Is a prime?
False
Let u(d) = -7*d + 11 - 14*d - d. Is u(-14) a prime number?
False
Let c(s) = s**3 + 21*s**2 + 21*s + 149. Is c(-18) a prime number?
True
Suppose -i = o - 2562, 4*i = -2*o + 5*o + 10262. Let h = i - 1035. Is h a prime number?
False
Suppose 101*z + 15 = 106*z. Suppose 7*c = -z*c + 4460. Is c composite?
True
Suppose 5*f = 5*q - 3*q - 7, -4*f = -q + 8. Let o be (114/(-9))/(q/6). Suppose -5*y + o = -z + 4*z, 5*z - 2*y = 73. Is z a composite number?
False
Suppose 1647 = -2*z + 8299. Let u = -1927 + z. Is u a prime number?
True
Let a = -34 + 34. Suppose 0 = 3*u - a*u - 471. Is u a composite number?
False
Suppose -11*o + 2 = 2. Suppose -2*t + o*y = -2*y - 168, -3*y + 143 = 2*t. Is t a composite number?
False
Suppose -2*x - x = -1521. Let y = x - 284. Is y a prime number?
True
Suppose -4*b + 31*b = 209007. Is b prime?
True
Let z(q) = -29*q**2 + 23*q - 35. Let x(h) = 29*h**2 - 22*h + 34. Let t(b) = 7*x(b) + 6*z(b). Is t(13) a composite number?
False
Let l = 16280 + -4878. Is l a composite number?
True
Suppose 2*o = 5*o - 4*i - 2, 2*o = 4*i. Is 4/o*(-3404)/(-8) prime?
False
Suppose 5*g - 21245 = -5*z, 0*g - 12771 = -3*g + 3*z. Is g a composite number?
False
Let v(n) = n. Let t be v(0). Let l(s) = -4*s**3 + s**2 - 4*s + 127. Let c(h) = -3*h**3 + h**2 - 3*h + 127. Let a(o) = 5*c(o) - 4*l(o). Is a(t) composite?
False
Let a(l) = 7*l**2 - 8*l - 8. Let p be ((0 - 5) + -4)/1. Is a(p) a composite number?
False
Suppose 3*d = -2*u, 4*u - 7*d + 2*d = -22. Is 358*(0 + u/(-2)) composite?
True
Suppose -24*d - 218120 = -5*k - 27*d, -2*k + 87229 = 5*d. Is k composite?
False
Is (-59876)/(-2)*(-25 + 37)/24 a composite number?
False
Suppose -57*g = -58*g + 7039. Is g composite?
False
Let v = -4307 + 24757. Suppose -k = -6*k + v. Is (k/(-20))/(1/(-2)) a prime number?
True
Let q = 243 + -442. Let m be (-20 + 4)/(-4) + q. Let v = m - -344. Is v prime?
True
Let b(x) = -x**3 - 14*x**2 + 42*x - 74. Is b(-31) prime?
False
Suppose 6*d = 2135 + 895. Is d composite?
True
Suppose 2*x = -x + 6. Let i(a) = 1008*a + 1. Is i(x) composite?
False
Let w(z) = 9*z**2 + 2*z + 3. Suppose 5*q - 35 = 5*c - 0*q, q + 9 = -3*c. Is w(c) prime?
True
Suppose 6 + 0 = -i + 5*d, 4 = 3*i - 4*d. Suppose -2*n + 3*r = -4, -n - 3*r = -i*n + 12. Suppose -4*m = -n, 4*m + 295 - 833 = -5*f. Is f prime?
False
Let b = -653 - -27744. Is b a prime number?
True
Let h = 1764 + -1313. Is h prime?
False
Let z = 74 + 7. Let t = z + -138. Let x = t + 94. Is x composite?
False
Let z = -10 + 12. Let w be z/11 - (-12)/(-66). Suppose -2*q - 15 + 53 = w. Is q composite?
False
Let n(v) = -v**3 - 5*v**2 + 24*v + 4. Let q be n(-8). Suppose -i = -q*h + 4995, -2*h = 3*i - 887 - 1614. Is h a composite number?
False
Suppose -2*c + 10349 = -3*b, -c + 6925 - 1733 = -5*b. Is c composite?
False
Suppose -8*m + 12*m = 120. Is (-3)/(m/8) - 31707/(-65) a prime number?
True
Let t(z) = 27*z**2 - 21*z + 18. Let g be t(-16). Suppose 2*m + g = 8*m. Suppose 2*f = f + m. Is f a composite number?
True
Let o = 101 + -68. Suppose -41*g + o*g + 6064 = 0. Is g a prime number?
False
Let l = 17467 - 7674. Is l composite?
True
Let y = -25 - -30. Suppose -3*q = -4*o + 952, 2*o - y*q - 313 = 177. Is o a prime number?
False
Suppose 4 + 4 = 4*u. Is 3 + (992/u)/2 a composite number?
False
Let f(q) = q**2 + 4*q + 5. Let h be f(-5). Suppose 5*a - h = 5. Suppose -t = a*t - 940. Is t a composite number?
True
Let i(z) = -51*z**3 - z - 1. Let y = -67 + 65. Is i(y) composite?
False
Let f = -37 + 36. Let x be 221 + 0 + -1 + f. Suppose 2*j = -2*r + 182, x = -5*r + 5*j + 654. Is r prime?
True
Let d be (-2)/(-14) + 474/14. Suppose -404 = -5*v - d. Is (v/(-4))/((-2)/4) composite?
False
Let c be 4/22 + (-138)/33. Let d be (-4)/12 - c/12. Suppose d*u - 99 = -u + r, 5*u + 3*r = 479. Is u composite?
False
Let h = -15931 - -26592. Is h prime?
False
Let b = 7 - 3. Suppose 5*g - 24 = -2*c + c, 24 = b*g - 4*c. Suppose -1329 = -g*r + 1006. Is r a prime number?
True
Let w(x) = -x**3 + 2*x**2 + 5*x - 1. Let z be w(4). Let u be (-12 + 2)/((-3)/6). Let b = u + z. Is b a composite number?
False
Let z = 95 - 90. Suppose -3 = -3*t, -2*r + 924 = -r + z*t. Is r a prime number?
True
Suppose -28352 = -4*y - 11444. Is y composite?
True
Is ((-18)/(-4))/(156/(-208)) - -18928 composite?
True
Is (-10 - -4775) + (2 - -2) composite?
True
Let z(c) = 2*c - 2896. Let y(w) = 3*w - 5793. Let o(t) = -3*y(t) + 5*z(t). Is o(0) a composite number?
True
Let f = 18 + -22. Suppose 0 = -11*d + 6*d + 415. Is (-2 + (f - -13))*d composite?
True
Let r(j) = 61*j - 237. Is r(16) a prime number?
True
Suppose x + x = -2*f - 1462, 1467 = -2*f - x. Let p = f + 1347. Is p a composite number?
True
Suppose -2*w - 4 = -w + 5*o, 2*w + 4*o = -8. Let r be (12/6)/(w/(-10)). Suppose -2*t + p + 13 = 0, -t + r*p = 2*p - 4. Is t a prime number?
True
Suppose 0 = j - 273 - 419. Let h = -486 + j. Is h prime?
False
Let t(m) be the first derivative of 199*m**2/2 - 8*m + 15. Is t(3) a prime number?
False
Let t(l) be the second derivative of l**5/20 + 7*l**4/4 + 7*l**3/2 + 27*l**2 - 48*l. Is t(-20) a composite number?
True
Suppose a + 5*q = 718, 3*a - 4*q = a + 1394. Suppose 2*p + a = 5*g, 0*p = -3*p - 12. Is g a prime number?
True
Let s = 37 + -33. Suppose -2*q - s*t = -1080, 1 = 2*t - t. Is q composite?
True
Let s be 66/14 - (-2)/7. Let j(q) = q**3 - 5*q**2 - q + 4. Let i be j(s). Is i/(((-4)/(-222))/(-2)) a composite number?
True
Let s = 17 - 10. Suppose 2*a = i - s + 205, 0 = -a + 4*i + 113. Is a composite?
False
Let k = 24 + -13. Let d = k - 9. Is (-7)/(d/(-22)*1) a composite number?
True
Let f(g) = 2*g + 33. Let m be f(-17). Is 4 - (-2322)/2 - 2/m prime?
False
Suppose -121*g = -110*g - 95293. Is g composite?
False
Suppose -m - 5*n + 4927 = 0, -n + 9830 = 2*m + 3*n. Is m a composite number?
True
Suppose -362 = -5*j + 4*j. Let y = 655 - j. Is y a prime number?
True
Let c = -24 + 31. Let y = -6 + c. Is 186 + (4 + -3)/y a prime number?
False
Suppose 6*i + 29*i = 102655. Is i a prime number?
False
Let y(x) = 2*x**2 + 10*x + 3. Let d be y(-4). Is (-2)/(((-20)/(-4642))/d) a composite number?
True
Let g = -32230 + 113735. Is g a prime number?
False
Suppose -5*z + 26 = 3*k, -37 = -k - 5*z - 15. Let j be 6*(-1)/2*476/(-42). Suppose -k*u - 8 = -j. Is u prime?
True
Suppose 8*b - 2000 = -2*b. Let n = b + -87. Is n a composite number?
False
Suppose -5*f + d + 46 = 0, 4*f - 2*d = -f + 47. Let y = -6 + 18. Suppose y*x = f*x + 633. Is x a prime number?
True
Let p = 51412 - 33469. Is p a prime number?
False
Let q(p) = -16*p - 2. Let u be q(-2). Suppose 5*t - z = u, 2*t - 24 = -2*t + 3*z. Suppose -t*m + 2*m + 1004 = 0. Is m prime?
True
Let g(y) = 7*y**3 + 0*y**3 + 2*y**2 - 3*y**3 - y - 3*y**3 - 1. Let p be g(-2). Is (1 - -12)*5/p composite?
True
Suppose 0*b = -5*b + 245. Let p(f) = -b*f + 1 - 5 - 2 - 4. Is p(-9) composite?
False
Let y = -2461 + 35838. Is y prime?
True
Let k(q) = 9*q**3 - 6*q**2 - q - 17. Let z(c) = -c + 13. Let a be z(8). Is k(a) a prime number?
True
Suppose 18*b = 3*o + 13*b - 15082, -2*o + 10062 = 4*b. Is o a composite number?
True
Let g(c) be the second derivative of 254*c**3/3 + 2*c**2 + 8*c. Let q be g(4). Suppose -7*z + 11*z - q = 0. Is z composite?
False
| {
"pile_set_name": "DM Mathematics"
} |
ify (sqrt(1250)*4 + sqrt(50) + 3*sqrt(7200))/(sqrt(90) - 1*sqrt(90)*-5 - sqrt(90) - ((sqrt(90)*2 - sqrt(90))*2 - sqrt(90))).
19*sqrt(5)/4
Simplify (2 + -1*sqrt(200) + 0)**2 + 4 + -1*(-1*sqrt(1536) + sqrt(24) + sqrt(24))/(sqrt(144)/sqrt(3)).
-37*sqrt(2) + 208
Simplify (3*-2*((sqrt(833) - -4*2*sqrt(833)) + (-6*sqrt(833)*-5 - sqrt(833)) + -2))**2 + 1.
-38304*sqrt(17) + 43302817
Simplify 4 + 6*((sqrt(112) - 6*(sqrt(112) - (sqrt(112) + 1)))*3*4*-3)**2.
373248*sqrt(7) + 1150852
Simplify (sqrt(75)*-4 + -1 + 5*(-2 + sqrt(75)))**2 + 1 + (sqrt(75) - (sqrt(75) - 1*sqrt(75)*-3)**2) + (sqrt(75)*-1 + sqrt(75) + sqrt(75))**2*-1.
-1078 - 105*sqrt(3)
Simplify ((sqrt(320)*1*-6 + sqrt(320) - sqrt(320)) + sqrt(320))*-4 + -3*(-1*(sqrt(60)/sqrt(2) + sqrt(30)))/sqrt(6).
166*sqrt(5)
Simplify (sqrt(4752) - (sqrt(4752) + sqrt(4752)*4)*-6)/((sqrt(2816) - (sqrt(2816) - 3*sqrt(2816)))/sqrt(4)).
31*sqrt(3)/2
Simplify (sqrt(243) + -2 + 1 + -5 + sqrt(243) + -1 + 3*(-4 + sqrt(243)) + 2)**2 + 1.
-1530*sqrt(3) + 6365
Simplify 1*sqrt(64)/sqrt(2) + (sqrt(32) - (4 + sqrt(32) + 0))**2 - (3 + sqrt(64)/sqrt(2) - (sqrt(128)/sqrt(4)*3)**2).
301
Simplify -5*(sqrt(11) + sqrt(11) + (sqrt(165)/sqrt(3))/sqrt(5) + (sqrt(99)*-1 + sqrt(99))/sqrt(9)) + -4 + (sqrt(1331) - (sqrt(1331)*-1 + 4)) + 0 + 1*sqrt(1331).
-8 + 18*sqrt(11)
Simplify -5*((1*(sqrt(125) + 1)*-4 - (-1*-2*sqrt(125)*-1)**2) + 3)*-3.
-7515 - 300*sqrt(5)
Simplify 3*((sqrt(12)/sqrt(6))**2 - sqrt(2)) + sqrt(72) + 0 + -1 + (-2*(sqrt(648) + 1 + sqrt(648)))**2*-1.
-10367 - 285*sqrt(2)
Simplify -3*((sqrt(2600)*-1*2 - sqrt(2600)) + sqrt(2600) + sqrt(2600) + sqrt(2600))/(-2*sqrt(2)*3 - (sqrt(2) + sqrt(12)/(sqrt(6)*2))).
0
Simplify ((-3*(sqrt(1053) + -1) + -1)*4)**2 - (sqrt(156) - 2*sqrt(156)*-2)/(sqrt(48)/sqrt(4)*6)*1.
-10373*sqrt(13)/6 + 151696
Simplify (3 + (-4 + 3*sqrt(1008) + -4 + ((0 + sqrt(1008) - sqrt(1008)) + 0)*6)*-5)**2.
-15480*sqrt(7) + 228649
Simplify (-4 + sqrt(833)*2)**2 + (4*sqrt(272) + -5 + -2*sqrt(17))**2 - (3 + (sqrt(2448) + -3 - (sqrt(51)*-3 - sqrt(51))/sqrt(3)))**2.
-252*sqrt(17) + 2353
Simplify ((-5*(-1 + 1*(1 + sqrt(847)) - (4 + sqrt(847) + 1*sqrt(847) + sqrt(847))*6) + 3)*2)**2.
920040*sqrt(7) + 24538816
Simplify -4 + (-3*(sqrt(637) + (3*(1 + sqrt(637) + sqrt(637)) - sqrt(637))) + 3 + (2 + (sqrt(637) - (-1 + sqrt(637))) - (sqrt(637) + -3*sqrt(637)*1))*-1)**2.
2520*sqrt(13) + 254877
Simplify (1*(sqrt(275) + -2) + 4)**2 + 4 + sqrt(44) + (sqrt(44) + -1)*-6.
10*sqrt(11) + 289
Simplify (sqrt(48)/sqrt(2)*-2)/(sqrt(36)/sqrt(3)*-4) - ((sqrt(2) - (4*sqrt(2)*-4)**2) + -1*-1*sqrt(2))*-2.
-1024 + 9*sqrt(2)/2
Simplify (-4*((3*sqrt(2662))/sqrt(11) - (-5 + (sqrt(2) - sqrt(16)/sqrt(8))*1)) + -4)**2.
6336*sqrt(2) + 35424
Simplify 1 + -2*(sqrt(112) - (-2 + (sqrt(112) + 1 - sqrt(112))))**2 + ((sqrt(252) + 3*sqrt(252))/(4*(sqrt(4) + sqrt(4)*3)))**2.
-3537/16 - 16*sqrt(7)
Simplify (-3*sqrt(833)*-5 + sqrt(833))**2 + -4*(sqrt(833) + 3)**2 - -1*(1*sqrt(833) + 2 - sqrt(833))*-4.
-168*sqrt(17) + 209872
Simplify ((sqrt(209) - -1*(sqrt(209) + -1*sqrt(209) - sqrt(209))) + (sqrt(209) - 6*-2*sqrt(209)))/(2*sqrt(1100) + sqrt(88)/(sqrt(8) - sqrt(128)))*6.
234*sqrt(19)/59
Simplify ((((1*sqrt(2112)*5 - sqrt(2112) - sqrt(2112)) + sqrt(2112))*4)/(sqrt(1584) + -1*sqrt(1584) - sqrt(176)*1))**2.
3072
Simplify 4 + ((((sqrt(405) - (1 + sqrt(405))) + -3)*5 - (sqrt(405) - (sqrt(405) + 0 + -3) - (sqrt(405) + 4*(sqrt(405) - sqrt(405)*-1)))) + -4)**2.
-4374*sqrt(5) + 33538
Simplify (sqrt(156)*-1*-2*-3*1)/(((-1*sqrt(192)*-3 + sqrt(192) - sqrt(192)) + sqrt(192))*1).
-3*sqrt(13)/8
Simplify -5*((sqrt(49) - -3*sqrt(49)*1) + sqrt(3969) + sqrt(3969)*2)/(((sqrt(378) - 5*sqrt(378))/sqrt(9))/sqrt(6))*1.
155*sqrt(7)/4
Simplify (5 + 1*(sqrt(325) + 1 + 1 - (sqrt(325) + 4*sqrt(325)*-3))**2 + 4)*-2.
-93626 - 480*sqrt(13)
Simplify 4*(-4*sqrt(152)*2 - -4*sqrt(152)*-3)/(sqrt(56)/(sqrt(21)/sqrt(3)) + 2*sqrt(56)/sqrt(7)).
-80*sqrt(19)/3
Simplify (0 + 5 + (-1 + sqrt(1872))*4 + (sqrt(325)*5 + 0)*3)**2.
246*sqrt(13) + 196678
Simplify ((sqrt(832) + 0)**2 - (sqrt(13) - -2*sqrt(117))) + ((sqrt(130) + sqrt(130) + -2*sqrt(130))*6)/(sqrt(160)*-1).
-7*sqrt(13) + 832
Simplify (2*(-1*sqrt(85) + sqrt(85)))/(2*sqrt(180) - sqrt(180)) + 3 + ((sqrt(17) + 2)*-4 - (sqrt(17) + 1*sqrt(17) + 1))**2.
108*sqrt(17) + 696
Simplify -2*(sqrt(1452) + (sqrt(1452) - (sqrt(1452)*1 + sqrt(1452) + sqrt(1452) - sqrt(1452)))**2*3) - (3 + 1*(sqrt(12) + -1 + sqrt(12) + -3)).
-8711 - 48*sqrt(3)
Simplify (-6*5*-1*sqrt(726))/(-6*(sqrt(243) + -3*sqrt(243)*-2 - sqrt(243))) + 3.
-55*sqrt(2)/54 + 3
Simplify ((sqrt(2000)*-2 - sqrt(80)*-1)/(sqrt(360) + (sqrt(360) - sqrt(360)*5)*4) + -3)**2.
-6*sqrt(2)/5 + 227/25
Simplify (-6*(1 + -2 + -4*3*sqrt(5)*-1 + 4 + -3*sqrt(80)))**2.
324
Simplify (((sqrt(847) - (sqrt(847) + 1) - sqrt(847)) + 0)**2 - ((-2 + sqrt(847))**2 + 0) - 2*(-5 + 6*(sqrt(847) + 1 - sqrt(847)))**2)*2.
-10 + 132*sqrt(7)
Simplify (sqrt(3630)*-3 + sqrt(3630))/(-4*sqrt(160)) + 4*(2 + (0 + sqrt(243) - sqrt(243)))*4.
11*sqrt(3)/8 + 32
Simplify ((sqrt(1900) - 2*2*sqrt(1900) - (-1 + 1 + sqrt(1900))) + 4*(sqrt(1900) + sqrt(1900)*-3 + 2 + 4))**2.
-5760*sqrt(19) + 274176
Simplify -5*(-4 + (sqrt(1134)*-1)/sqrt(7))*-3*3.
-405*sqrt(2) - 180
Simplify (5*((3*sqrt(144)*4 - sqrt(144)) + sqrt(144)))/(3*(sqrt(972) + -4*sqrt(972)*-5)).
40*sqrt(3)/189
Simplify (3*1*sqrt(432)*-6)/(6*sqrt(1296)*-2*6).
sqrt(3)/12
Simplify ((sqrt(126)/sqrt(7))/sqrt(9) + -2 + -3 - (-3 + sqrt(162)*-2 + -5))**2*1.
114*sqrt(2) + 731
Simplify (-6*(-1*-3*sqrt(35) + sqrt(2240) + sqrt(2240)*-1)/((sqrt(30)*3*-5)/sqrt(6)))**2*-5.
-252/5
Simplify (sqrt(72) + -2 + sqrt(72) - sqrt(72))*-2 - (1 + sqrt(72) + 1 + sqrt(72))**2 - (sqrt(14) + 3*sqrt(686))/(sqrt(49)/(sqrt(14)/sqrt(2))).
-288 - 82*sqrt(2)
Simplify (4 + -4*(3*sqrt(2299)*-3 + 5 + 1))*-3.
-1188*sqrt(19) + 60
Simplify ((1 + -4 + 3 + -2 + 5 + -1*-1*sqrt(343))*2)**2 + 2.
168*sqrt(7) + 1410
Simplify -5*((2*(sqrt(38)/(sqrt(8)/sqrt(4)) + -3))**2 - (sqrt(684)/(sqrt(48)/sqrt(4) + sqrt(12)))/(-2*sqrt(300))).
-560 + 959*sqrt(19)/8
Simplify (2*sqrt(84)*1 - (sqrt(84) + (sqrt(84) + 6*(sqrt(84) - 2*sqrt(84)) + sqrt(84) - sqrt(84))))/(-2*(sqrt(1728)*-3 + sqrt(12) + sqrt(12))).
3*sqrt(7)/34
Simplify ((sqrt(102)/(sqrt(30)/sqrt(5)))**2 - sqrt(612)*-2)*6 - (2*sqrt(204)*4 + sqrt(204) + sqrt(204))/(1*sqrt(36)/sqrt(3)).
102 + 62*sqrt(17)
Simplify (-6*(sqrt(99) + -4*-1*sqrt(99) + 4*(1*sqrt(99) + sqrt(99))))/(-2*sqrt(9)*-3 + (sqrt(9) - (sqrt(63)*-3)/sqrt(7))).
-39*sqrt(11)/5
Simplify ((6*sqrt(847)*-2 - (2*1*sqrt(847) + sqrt(847))**2) + 6*(sqrt(847) + -1)*2)*-3 + -4.
22901
Simplify (1 + (sqrt(11) - (sqrt(11) - sqrt(44))) + -1)*6 - ((sqrt(66) + sqrt(66) + (sqrt(66)*1 - sqrt(66)))/sqrt(6) + (sqrt(11) + sqrt(11) + 3)*-3).
9 + 16*sqrt(11)
Simplify (1*sqrt(600))/(sqrt(2) + 5*sqrt(6)/sqrt(3))*-6 + (-5 + 6*(2 + sqrt(3))*-5)**2*-3.
-20775 - 11710*sqrt(3)
Simplify ((5 + (5*sqrt(42)*-2*4)/(sqrt(18)/sqrt(27) + (sqrt(6) - (sqrt(30)*1)/sqrt(5))))*4*4)**2.
-307200*sqrt(7) + 25811200
Simplify (sqrt(144)/sqrt(768) + (sqrt(12) - (-6*sqrt(12)*-6 + sqrt(12))))/(sqrt(6) + 2*sqrt(72)/sqrt(12) - (sqrt(60)/sqrt(10) + sqrt(6))*-3).
-287*sqrt(2)/72
Simplify 0 + (sqrt(104)/(sqrt(32)/(sqrt(44)/sqrt(11))) - (2 + sqrt(1300) - (sqrt(637) + 0))**2)*-1*2.
22*sqrt(13) + 242
Simplify -1*(sqrt(21)/(sqrt(75)*5) - ((sqrt(7) - (sqrt(7) + -2*sqrt(7) + 2)) + 4)**2).
199*sqrt(7)/25 + 32
Simplify (((sqrt(81) - (sqrt(81) - sqrt(81)*-2) - sqrt(81) - sqrt(81))*-6)/((1*sqrt(108))/sqrt(12)))/(5*(1*sqrt(3600))/sqrt(12)).
12*sqrt(3)/25
Simplify ((sqrt(18) - sqrt(90)/(sqrt(5)*2)) + 6*(sqrt(108)/sqrt(6) - sqrt(18)))/(-1*(-3*(sqrt(90) + (sqrt(90)*1 - sqrt(90))) - sqrt(90))/sqrt(10)) + -2.
-2 + sqrt(2)/8
Simplify (-6*4*(2*1*sqrt(156))/(sqrt(60)/sqrt(125)) + 4)**2.
-1920*sqrt(13) + 748816
Simplify (5 + (sqrt(704) - (sqrt(704) + 3)*-3) + -4 + (2*sqrt(11) + 3)*4)**2 + 2.
1760*sqrt(11) + 18086
Simplify 6*sqrt(7)*3 + sqrt(7) + -4*sqrt(56)/sqrt(8) - 2*((sqrt(1008) + 2*sqrt(1008))*-6)**2.
-653184 + 15*sqrt(7)
Simplify (1*((sqrt(637) - -2*(sqrt(637) - (sqrt(637) + sqrt(637)*-2) - sqrt(637)))*3 + -4 - (4 + sqrt(637)*2 - ((sqrt(637) - 1*sqrt(637))*4 + sqrt(637)))))**2.
-896*sqrt(13) + 40832
Simplify (1*-2*(5*sqrt(99)*3 + sqrt(99)))/((-5*-2*sqrt(81))/(sqrt(9)*-2*5)).
32*sqrt(11)
Simplify ((sqrt(143) | {
"pile_set_name": "DM Mathematics"
} |
u. List the prime factors of u.
2, 3
Let z = 286 - 74. What are the prime factors of z?
2, 53
Suppose -3*c - 4*d + 170 = -0*c, 3*c - 172 = -2*d. What are the prime factors of c?
2, 29
Suppose 0 = -7*a + 3*a - 3*k + 246, 2*k + 67 = a. What are the prime factors of a?
3, 7
Suppose -h + 54 = 2*p, 5*h + p - 310 = -p. What are the prime factors of h?
2
Suppose -2*f = -2*j - 4*f + 6, j + 7 = -3*f. Suppose 51 = y + j. What are the prime factors of y?
43
Suppose 4 = 3*u + 13. Let h = 0 + u. Let i(b) = b**2 - b + 4. List the prime factors of i(h).
2
Let h be 13*1 - (-3 + 4). List the prime factors of h - ((-2 - -3) + 0).
11
Let t = -3 - 0. Let x = t + 5. Let n = x - -1. What are the prime factors of n?
3
Suppose 103 + 19 = 2*z. List the prime factors of z.
61
Suppose 5*n - 31 + 6 = 0. Suppose n*j + 13 = b - 1, j = -2*b + 72. What are the prime factors of b?
2, 17
Suppose 2*y - 5*i + i + 4 = 0, 0 = 4*i - 12. Suppose w - 17 = -y*r + 62, -5*w = 5*r - 80. List the prime factors of r.
3, 7
What are the prime factors of (2/(-3))/(((-80)/(-3405))/(-8))?
227
Suppose 3*a + a - 8 = 0. Suppose 4*p - 94 = -2*g, 28 = 4*g - 4*p - 100. Suppose 2*v - 5*q - g = -0*v, -22 = -2*v + a*q. List the prime factors of v.
2, 3
Let f = 0 - -3. Suppose f*r - 20 = -r. Suppose -b - 2 + r = 0. List the prime factors of b.
3
Let p(c) = c**2 - 5*c + 4. Suppose 5*n - 51 = 49. Let s = -14 + n. What are the prime factors of p(s)?
2, 5
Suppose -2511 = -7*q - 971. List the prime factors of q.
2, 5, 11
Suppose -j + 12 = 5*n - 23, 4*n + j - 29 = 0. Let t = n + -7. List the prime factors of 4*t*(-45)/20.
3
Suppose -l = 4, -3*c - 4*l - 12 = c. Let h be (c - 0)*(35 + -1). Let m = h + -23. What are the prime factors of m?
11
Let r(x) = 38*x + 39. What are the prime factors of r(6)?
3, 89
Let b(w) = 2*w + 15. Let g(i) = 2*i + 16. Let x(l) = -5*b(l) + 4*g(l). List the prime factors of x(-8).
5
Let h(t) = t**2 - 3*t - 6. Let s be h(5). Suppose -s*l - 4 = -6*l. Suppose 18 = l*n + 2. List the prime factors of n.
2
What are the prime factors of 19 + (-3 - (-16)/4)?
2, 5
Let o = 73 + -56. What are the prime factors of o?
17
Let x(s) = -2 + 0*s**2 - 6*s + 2*s**2 - s**2. Let d be x(5). Let v = d + 14. List the prime factors of v.
7
Let c = 15 + -4. Suppose -d = -c + 4. List the prime factors of d.
7
Suppose -1020 = 3*q - 8*q - o, o = 0. List the prime factors of q.
2, 3, 17
Let m = -77 + 145. Suppose -2*w - v = -2*v - m, 0 = -5*v - 10. What are the prime factors of w?
3, 11
List the prime factors of (-1)/(-1)*(3 + 10).
13
Let i(r) = -2*r**3 - 20*r**2 - 3*r - 19. What are the prime factors of i(-10)?
11
Suppose 0 = h - 5*h + 36. Suppose b = -h + 25. List the prime factors of b.
2
Let o(y) = 3*y - 3. Let g be o(2). Suppose 29 = -5*b + g*h, -4*b - h = -6*h + 18. Let v = 12 + b. What are the prime factors of v?
5
Suppose -2*k = 4*x - 0*x - 104, -3*k = 3*x - 144. List the prime factors of k.
2, 11
Suppose -3*s = 2*p - 10, 4*s - 5*p + 2*p - 2 = 0. Let z(k) = 0*k**2 + 3 - 2*k**2 - 6*k + 3*k**2 + 0*k**s. List the prime factors of z(6).
3
Let l(c) be the first derivative of -2*c**2 - 3*c - 1. What are the prime factors of l(-3)?
3
Suppose -2 = -2*m - 4*s, -2*s + 13 = 5*m - 0*m. Suppose -3*q = y - 11, -3*y - 2*y = m*q - 31. Suppose -2 = q*g - 16. What are the prime factors of g?
7
What are the prime factors of (8/(-32))/((-2)/824)?
103
Suppose -5*i = -45 - 5. Suppose -4*u - 6*v + v + 42 = 0, -5*v - i = 0. List the prime factors of u.
13
What are the prime factors of (-3)/(-2)*1564/6?
17, 23
Suppose 0*l = -2*l - 10. Let v(p) = -12*p**3 - 7*p**2 - 4*p. Let w(r) = 12*r**3 + 8*r**2 + 5*r. Let t(j) = l*w(j) - 6*v(j). What are the prime factors of t(1)?
13
Suppose 0 = q + 2*q - 9. Suppose n + 2*z + q = -z, -4*z = -4*n + 20. What are the prime factors of n/((-3)/(-10))*1?
2, 5
Suppose 0 = -6*v + 7 + 359. List the prime factors of v.
61
Let i = 14 + 31. Suppose -2*b - b - 3*f + i = 0, 3*b = -f + 49. List the prime factors of b.
17
Let g be (2 + -1)/(-1)*-3. Suppose -5*i - 4*y - 22 = -3*i, g*y = -5*i - 20. Let z(v) = 7*v**2 - v. What are the prime factors of z(i)?
2
Let n = 151 - 59. What are the prime factors of n?
2, 23
Let t(l) = 2*l**2 - 3*l. Let k be t(2). Let f(d) = d - 5*d**k - 3*d**3 + 5*d**2. List the prime factors of f(-1).
2
Suppose 116 = f + 3*h, 2*f + 3 = 3*h + 280. What are the prime factors of f?
131
Suppose -2*h - 6 = -0*h - n, h = -3*n - 3. Let g be 2/h + 8/12. List the prime factors of (g - 4/(-2)) + 5.
7
Let h(f) be the first derivative of -f**3/3 + f**2/2 + 16*f + 1. Let p(x) = -2*x + 36. Let d be p(18). List the prime factors of h(d).
2
Let y(c) be the first derivative of -11*c**2/2 + 2*c + 4. Let l be y(-4). Let x = -32 + l. List the prime factors of x.
2, 7
Suppose 2*y - y = 2. Let a = 0 + y. List the prime factors of a/(((-2)/(-16))/1).
2
Let q = 24 + -3. What are the prime factors of q?
3, 7
Let k(n) = -3*n**3 - n**2 + n + 1. Let u be k(-1). Let c = 1 + u. What are the prime factors of c?
3
Let g = -10 - -40. Let z(b) = b - 20. Let i be z(0). Let u = i + g. What are the prime factors of u?
2, 5
Let w(d) = -d**3 + 12*d**2 + 14*d + 16. List the prime factors of w(13).
29
Let f = -4 + 8. Suppose -3*t = 4*l - 105, 4*t + f*l - 147 = l. Suppose -2*s + i = -27, -4*s + t = 4*i - i. What are the prime factors of s?
2, 3
Let b = -19 + 66. Let c = -26 + b. What are the prime factors of c?
3, 7
Suppose 3 = 3*m + 39. Let o(b) = 0*b - b**2 + 13 - 11*b + 1. What are the prime factors of o(m)?
2
Suppose g + 3*v - 409 = -3*g, -3*g + 333 = -3*v. Let j = g + -71. List the prime factors of j.
5, 7
Let w(j) = j - 5. Let k be w(4). Let f be -9 + k*9/(-3). Let a(g) = -g**3 - 5*g**2 + 3*g - 4. List the prime factors of a(f).
2, 7
Let y(k) = -3*k**2 + 2*k - 1. Let g be y(-2). Suppose -38 = -4*x + 90. Let o = x + g. What are the prime factors of o?
3, 5
Let s = -61 + 70. What are the prime factors of s?
3
Suppose -15 = -4*c + 17. Suppose 5*f = f + c. Suppose 0 = a - f*a + 9. List the prime factors of a.
3
Suppose 0 = 9*n - 100 - 1970. List the prime factors of n.
2, 5, 23
Suppose 6*b - 80 = -290. Let m = 62 + b. List the prime factors of m.
3
Let x(r) = -r**3 - 20. Let g be x(0). Let l = 7 - g. List the prime factors of l.
3
Let g(h) = h**2 + 3*h + 1. Let i = -9 + 6. Let z be g(i). Suppose 0 = -f - 2*t - z - 5, -2*f - 8 = 3*t. List the prime factors of f.
2
What are the prime factors of (-33)/11*(-4 - 0)?
2, 3
Suppose -324 + 45 = -3*q - 3*n, 0 = 4*q - 4*n - 380. List the prime factors of q.
2, 47
Suppose o - 4*o + 105 = 0. What are the prime factors of o?
5, 7
Suppose -25*i = -27*i + 18. List the prime factors of i.
3
Let s = -5 + 13. Let p(u) = u**2 - 7*u + 5. What are the prime factors of p(s)?
13
Let n be 3*-10 - (-6)/(-2). List the prime factors of (-621)/(-33) + (-6)/n.
19
Let k = -292 + 521. What are the prime factors of k?
229
Let o be (-16)/(-6)*(-2 - -5). List the prime factors of (-2)/o - 178/(-8).
2, 11
Let o = 3 - -17. List the prime factors of ((-63)/14)/((-3)/o).
2, 3, 5
Suppose -5*h + 4*h = 7. Let n = h + -11. What are the prime factors of (-2)/(-9) - 32/n?
2
Let s(g) = -g. Let y(d) = d**2 - 3*d - 3. Let b(x) = -5*s(x) + y(x). List the prime factors of b(-5).
2, 3
Let n(z) = z**3 + z - 1. Let h be n(2). List the prime factors of 2*1/2*h.
3
Let v(r) = r**2 + 10*r + 0*r + 5*r - 7 - 6*r. What are the prime factors of v(-11)?
3, 5
Suppose -52 - 163 = -5*r. List the prime factors of r.
43
Let m be -27*1*3/(-9). What are the prime factors of (-2*1)/(m/(-18))?
2
Let o(f) = -5*f - 7. Let i(c) = -16*c - 22. Let s(a) = -2*i(a) + 7*o(a). Let x be s(-4). Let d = -5 + x. What are the prime factors of d?
2
List the prime factors of (-3)/(2/((-112)/6)).
2, 7
Let f = 8 - 6. Suppose f*l + 80 = 6*l. What are the prime factors of l?
2, 5
Let k be (3 - 1)*(-2 - -4). List the prime factors of 1*5/(10/k).
2
What are the prime factors of (41 - 0/3) + 0?
41
Let r(w) be the second derivative of -4*w**3/3 + 2*w**2 - 7*w. List the prime factors of r(-4).
2, 3
Suppose -5*g = 2*q - 83 - 11, 2*q = g + 118. List the prime factors of (2/3)/(2/q).
19
Let v = 10 + 6. Let p = v + -1. List the prime factors of p.
3, 5
Suppose 18 = 4*h + v, v + 5 + 7 = 2*h. Let y(t) = 3*t - 7. What are the prime factors of y(h)?
2
Suppose 133 = 3*s - 0*s - | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of j**6/120 - 46*j**3 - 161. Let h(s) be the third derivative of a(s). Let r(q) = -82*q. Give r(h(w)).
-246*w**2
Let g(w) = 8537487*w. Let b(c) = 2*c. What is b(g(d))?
17074974*d
Let f(s) = 86833*s. Let j(g) = 181*g. Give f(j(l)).
15716773*l
Let j(s) = 4 - 3 + 2*s**2 + 24. Let g(q) be the first derivative of q**3/3 + 51. Calculate g(j(k)).
4*k**4 + 100*k**2 + 625
Let o(a) be the third derivative of 5*a**4/12 - a**3/2 - 24*a**2. Let n(c) = 9*c - 2. Let x(i) = 4*n(i) - 3*o(i). Let m(z) = 3*z. Give m(x(g)).
18*g + 3
Let j(a) = 180 + 180*a**2 - 358 - 2489*a**2 + 178. Let c(v) = 2*v. What is c(j(d))?
-4618*d**2
Let w(o) = 12*o**2 + 112971*o - 6. Let n(k) = -k. Calculate n(w(h)).
-12*h**2 - 112971*h + 6
Let n(q) be the first derivative of -59/2*q**2 + 0*q - 112. Let d(r) = -3*r**2. Give n(d(l)).
177*l**2
Let m(n) = -6*n**2 + 4*n + 4. Let j(c) = 5*c**2 - 3*c - 3. Let f(u) = -4*j(u) - 3*m(u). Let k(y) be the second derivative of -41*y**4/4 + 146*y. Give f(k(v)).
-30258*v**4
Let s(o) = -o**2 - 1. Let t(q) = -8*q**2 - 4. Let w(h) = 4*s(h) - t(h). Let b(y) = 3*y + 6*y + 13*y + 25*y - 2*y. What is b(w(x))?
180*x**2
Let p(a) = 1131058*a**2. Let g(h) = 482*h. Give p(g(x)).
262771918792*x**2
Let x(m) = 3*m + 0*m + 0*m. Let y(s) = 2*s. Suppose 3*z - 29*u - 24 = -24*u, u + 3 = 0. Let o(r) = z*x(r) - 5*y(r). Let v(i) = 15*i. Calculate o(v(a)).
-15*a
Let s(a) = -a + 35. Let z(f) = -14*f + 420. Let d(c) = 12*s(c) - z(c). Let n(l) = -13*l - 1. What is n(d(q))?
-26*q - 1
Let p(n) = -419*n**2 - 416*n**2 + 828*n**2. Let h(k) = 499*k**2. Determine p(h(v)).
-1743007*v**4
Let f(u) = 7834*u**2. Let n(j) = 29*j**2 - 114*j**2 + 25*j**2 + 24*j**2 + 34*j**2. Calculate n(f(a)).
-122743112*a**4
Let c(w) = -1140915 - 2*w + 1140915. Suppose -2*h + 2 = 0, -2*l - h - 3*h + 22 = 0. Let q(f) = -21*f**2 - 14*f + l*f + 5*f. What is q(c(u))?
-84*u**2
Let f(x) = 15172*x. Let m(d) = -10*d**2 + 4*d + 52. Let u(t) = 2*t**2 - t - 13. Let c(q) = m(q) + 4*u(q). Determine f(c(w)).
-30344*w**2
Let a(t) = -7*t - 1. Let q(x) = -593*x + 39. Determine q(a(s)).
4151*s + 632
Let i(z) = -51*z - 28*z**2 - 10*z - 9*z. Let k(l) = 70*l**3 + l + 1. Let d be k(-1). Let f(m) = m. Let s(g) = d*f(g) - i(g). Let x(h) = 2*h. Give x(s(c)).
56*c**2
Let i(h) = -2*h. Let a(j) = 787805*j - 8. What is i(a(y))?
-1575610*y + 16
Let p(q) be the first derivative of -2*q**2 - 5/3*q**3 + 114 + 0*q. Let o(y) = -y**2. Give o(p(t)).
-25*t**4 - 40*t**3 - 16*t**2
Let m(i) be the second derivative of -3*i**4/4 - i. Let g(x) be the first derivative of 3*x**2/2 + 4017. What is m(g(c))?
-81*c**2
Let n(k) = 2565*k**2 - 45*k - 45. Let y(j) = -117*j**2 + 2*j + 2. Let r(s) = -2*n(s) - 45*y(s). Let b(v) = 12*v**2. What is r(b(d))?
19440*d**4
Let d(f) = 7*f**2 + 2. Let o(y) = -32*y - 8*y**2 + 0*y - y**2 + 33*y. Determine o(d(h)).
-441*h**4 - 245*h**2 - 34
Let r(t) = t**2. Let z(c) = -2*c + 16 + 7 + c. Let u be z(21). Let v(n) = -n**2 + 14*n**2 - 9*n**2 + 12*n**u. Give r(v(f)).
256*f**4
Let t(g) = -75669*g - 2. Let b(f) = 1019*f**2. Give t(b(v)).
-77106711*v**2 - 2
Let u(x) = x**2 - x. Let t be u(-1). Let y(p) = -6*p**t + 4*p**2 + 3*p**2. Let k(d) be the third derivative of d**4/24 - 56523*d**2. Determine y(k(f)).
f**2
Let v(u) = -878*u**2. Let q(b) be the first derivative of -11*b**2/2 + 4481. What is v(q(o))?
-106238*o**2
Let a(p) = -25*p + 3. Let u(k) = -40468 + 80924 - 40461 - 2*k. Determine a(u(m)).
50*m + 128
Let p(r) = -172496*r - 1. Let i(q) = -5*q + 6. Give p(i(d)).
862480*d - 1034977
Let x(y) = y**2. Let u(q) = -10*q + 162. Let o(z) = 3*z - 54. Suppose -1 = 19*f - 39. Let s(r) = f*u(r) + 7*o(r). What is s(x(i))?
i**2 - 54
Let y(j) be the first derivative of 15*j**2/2 - 15847. Let r(l) = 16*l**2 - 9*l**2 + 18*l**2. What is r(y(u))?
5625*u**2
Let u(j) = 0 + 28*j - 23*j + 2*j + 0. Let w(s) = -29*s - 3. What is u(w(c))?
-203*c - 21
Let l(h) = -8*h. Let y(x) = -10*x + 354. Let z(b) = 5*b - 193. Let u(t) = -6*y(t) - 11*z(t). What is u(l(d))?
-40*d - 1
Let s(j) = -613*j - 615*j - 608*j + 2441*j - 613*j. Let h(r) be the second derivative of -r**4/6 - r. Give h(s(n)).
-128*n**2
Let y(l) = -14*l**2. Let a(k) = k**3 + 6*k**2 + k + 2. Let t be a(-6). Let r(v) = 15*v + 4. Let p(f) = -14*f - 3. Let n(i) = t*p(i) - 3*r(i). Give y(n(w)).
-1694*w**2
Let p(j) = 85*j - 224*j + 67*j + 77*j. Let v(u) = 0 + 0 + 10*u. Give v(p(c)).
50*c
Let h(x) = -x**3 + 7*x**2 - 7*x + 8. Let s be h(6). Let y(d) = -d + s*d + 3*d. Let n(v) = -420*v + 219*v + 207*v. Determine y(n(i)).
24*i
Let n(j) be the second derivative of 53*j**4/12 - 4*j + 44. Let o(v) = 22*v. Calculate n(o(z)).
25652*z**2
Let b(z) = -29650*z + 5*z**2 + 29650*z. Let j(x) = -38*x + 2. Calculate j(b(t)).
-190*t**2 + 2
Let v(q) = 62*q. Let g(f) = -8490*f**2 - 6*f. What is g(v(n))?
-32635560*n**2 - 372*n
Let k be (20/30)/((-4)/(-288)). Let s(g) = -k*g**2 + 15*g**2 + 17*g**2 + 17*g**2. Let x(w) = 18*w. Give x(s(p)).
18*p**2
Let q(s) be the second derivative of -4*s**4/3 - 35*s**2 + 4039*s. Let c(z) = 2*z. Give c(q(a)).
-32*a**2 - 140
Let n(m) = -2901*m**2. Let w(b) = 9*b**2 - 7*b - 49. Let c(d) = 15*d**2 - 12*d - 84. Let s(o) = -7*c(o) + 12*w(o). Determine n(s(x)).
-26109*x**4
Let g(h) = 1428*h. Let p(a) = -84423*a. Determine p(g(b)).
-120556044*b
Let z(q) = -5*q**2. Let d(n) = -6*n**2 + 50*n**2 + 24*n**2 - 5*n**2 - 28*n + 21*n**2. Let m(s) = -17*s**2 + 6*s. Let b(u) = 3*d(u) + 14*m(u). Give z(b(i)).
-980*i**4
Let x(u) be the third derivative of 1/60*u**5 + 0*u**3 + 0*u**4 - u**2 + 0*u + 0. Let i(k) be the first derivative of -5*k**3/3 - k - 1289. Calculate i(x(z)).
-5*z**4 - 1
Let l be ((-12)/8)/((-39)/(-6) - 6). Let u(z) = 3*z + 14. Let x(o) = -o - 6. Let k(g) = l*u(g) - 7*x(g). Let s(f) = f + 3. Calculate k(s(t)).
-2*t - 6
Let c(r) be the first derivative of -7*r**5/60 + 53*r**2/2 + r + 84. Let i(z) be the second derivative of c(z). Let t(p) = 3 + 7*p - 3. Give i(t(q)).
-343*q**2
Let f(a) = -13*a**2 - 373*a - 368*a + 1108*a - 367*a + 2. Let q(h) = -2*h**2 + 3*h**2 - 5*h**2 + 2*h**2. What is f(q(j))?
-52*j**4 + 2
Let y(f) = -f**2 - 5*f. Let c(l) = l**2 + 4*l. Let j(a) = a**2 + 7*a + 10. Let s be j(-6). Let x(o) = s*y(o) + 5*c(o). Let m(u) = -34*u**2. Give m(x(w)).
-34*w**4
Let j(a) = -2*a**2. Let g(x) = 279*x + 12. Let k(w) = -2508*w - 112. Let z(y) = 28*g(y) + 3*k(y). Calculate j(z(n)).
-165888*n**2
Let m(p) = -27*p + 3763. Let i(z) = -8*z. Determine m(i(t)).
216*t + 3763
Let g(p) = 39*p + 2. Let k(z) = -244*z - 11. Let n(s) = -25*g(s) - 4*k(s). Let u(v) = -12*v**2. Give n(u(y)).
-12*y**2 - 6
Let u(z) = -37*z**2 + z - 68. Let y(l) = -1533*l. Determine u(y(m)).
-86953293*m**2 - 1533*m - 68
Let j(r) = 19*r**2. Let u(v) be the first derivative of 14*v**3 - 808. Calculate u(j(f)).
15162*f**4
Let m(z) = -170516*z - 1. Let w(u) = u**2. What is m(w(q))?
-170516*q**2 - 1
Let a(z) be the first derivative of 11*z**3/3 - 1. Let c(u) = -305 + 990 - 11*u - 344 - 341. What is a(c(y))?
1331*y**2
Let i(r) = 39*r**2 - 8*r + 7. Let h be i(5). Let g(z) = 936*z**2 - h*z**2 + 3*z - z. Let l(x) = -2*x**2. Give g(l(v)).
-24*v**4 - 4*v**2
Let r(b) be the third derivative of -35*b**4/8 + 9*b**2 - 16. Let z(p) be the third derivative of p**5/30 - 12*p**2. What is z(r(h))?
22050*h**2
Suppose -5*r + 0*n - 25 = 2*n, 15 = 3*n. Let z(s) = -44*s - 2. Let o be z(r). Let v(f) = -307*f**2 - f + o*f**2 + f. Let y(i) = -3*i**2. Give v(y(m)).
-9*m**4
Let k(v) = 11*v + 10. Let c(z) = -3 - 10 - 1 - 1589*z + 1574*z. Let i(m) = 5*c(m) + 7*k(m). Let a(l) = -2*l**2 + 358. Calculate a(i(h)).
-8*h**2 + 358
Let t(r) = -1250832*r. Let m(c) = 2*c**2. Give m(t(v)).
3129161384448*v**2
Let i(a) = 248*a**2 + 2*a + 7. Let o(b) = 1450*b - 2891*b + 1440*b. What is i(o(s))?
248*s**2 - 2*s + 7
Let a(l) = 301*l - 50. Let w(o) = o**2 + 322*o. Give w(a(m)).
90601*m**2 + 66822*m - 13600
Let d(b) = -3*b**2. Let z(j) be the second derivative of 9*j**4/8 - 139*j**2/2 + 14*j - 1. Let m(p) be the first derivative of z(p). Determine m(d(g)).
-81*g**2
Let x(f) be the third derivative of -17*f**4/12 - f**2. Let h be (4 - 15/6)*(-4 - -10). Let t(o) = o - 18 + h - 3*o + 9. Give x(t(w)).
68*w
Let r(v) be the second derivative of 86*v**3/3 + 3434*v. Let s(n) = -n**2. What is s(r(f))?
-29584*f**2
Let k(d) be the third derivative of -d**8/1344 - 8* | {
"pile_set_name": "DM Mathematics"
} |
divided by 13.
11
What is the remainder when 66 is divided by (-68 - 0)*4/(-8)?
32
Let x = 2 + 0. Suppose x*p + 3*p = 70. Calculate the remainder when p is divided by 10/(-45) - 148/(-18).
6
Suppose 3*r - r - 114 = 0. Let w = -37 - -67. Calculate the remainder when r is divided by w.
27
Let b = -1 + 4. Let j be 137/b - 1/(-3). Suppose 0 = 4*f - 6 - j. Calculate the remainder when 24 is divided by f.
11
Let x(l) = -2*l - 4. Suppose j + 12 = 2*i + 3, 2*i + 2*j - 6 = 0. Let p be (-5)/10 + (-22)/i. Calculate the remainder when 23 is divided by x(p).
7
Suppose 4 = -2*i - 2. Suppose -4*l + 2*d + 56 = -2*d, 3*d - 38 = -5*l. What is the remainder when 12/(1/(i/(-2))) is divided by l?
8
Calculate the remainder when 25 is divided by (-33)/(-6) + (-12)/(-8).
4
Let u(z) = 3*z + 2. Let y = 14 + -7. What is the remainder when u(6) is divided by y?
6
Let m(z) = z - 1. Let w be m(3). Suppose -d + 114 = w*d. What is the remainder when d is divided by 13?
12
Suppose -3*d + 64 = 5*t, 4*d - 51 = 2*d - 5*t. Let v = 6 + 0. Let m(f) = -f**3 + 8*f**2 - 7*f + 7. What is the remainder when m(v) is divided by d?
11
Let s(w) = w - 4. Let b be s(7). Suppose b*d = 4*q + 5*d - 30, 10 = 2*q + 2*d. Suppose -z + 19 = -q. Calculate the remainder when z is divided by 10.
9
Suppose -30*u - 164 = -31*u. What is the remainder when u is divided by 33?
32
Calculate the remainder when 45 is divided by (5 + -2)*6/1.
9
Let g(q) = -q + 4. What is the remainder when 8 is divided by g(2)?
0
Let o be 1/(-5) + (-6)/(-5). Suppose 3*y - 3*q - 54 = 0, -3*q = 5*y - 59 + o. Let i = -2 - -10. What is the remainder when y is divided by i?
6
Suppose 0 = 4*i - 5*i - 270. Calculate the remainder when (4/6)/((-6)/i) is divided by 6/((-3)/16*-2).
14
What is the remainder when 53 + -13 - -2*1 is divided by 11?
9
Suppose v - 20 = -5*t, 0 = -0*v - 4*v + 4*t + 32. Suppose -3*k - 55 = -67. Calculate the remainder when v is divided by k.
2
Let d = -25 - -45. Calculate the remainder when 77 is divided by d.
17
Suppose 0*a = 5*a - 60. What is the remainder when (-4)/((-30)/44 - (-3)/6) is divided by a?
10
Let d(f) = 5*f**2 + f**3 + 5 - 4 + f - 3. Let h(k) = 36*k**2 - 2*k. What is the remainder when h(-1) is divided by d(-3)?
12
Suppose 2*i - 4 = 0, 2*c + 4*i = 5*i + 20. Suppose -d + 3*a = 46 + 80, -5*a = -5. What is the remainder when (-1 + -1)*d/6 is divided by c?
8
Let g(s) = s + 1. Suppose c - 15 = -4*c. Calculate the remainder when g(3) is divided by c.
1
Calculate the remainder when 8/20 + (-4)/10 - -9 is divided by 6.
3
Let u(s) = s**3 - 13*s**2 - 12*s - 12. Let p be u(14). Let o = p - 8. What is the remainder when 15 is divided by o?
7
Let k(n) = 3*n + 3. Let u be 2/(-10) - (-3)/15. Suppose 0 = -4*t - 3*r + 20, 4*t = -u*r + 2*r + 20. What is the remainder when k(t) is divided by 10?
8
Let v(g) = -g**3 - 4*g**2 - 3*g. Suppose -3*p = -4*c - 4*p + 16, -c + 13 = -2*p. Let i be -6 - c/((-10)/4). What is the remainder when 34 is divided by v(i)?
10
Suppose 0 = 2*m - 2 + 8. What is the remainder when 9 is divided by 1/m + 16/3?
4
Let a(p) = -11*p**2 - 2*p - 1. Let t be a(-1). Let h = t + 14. Let m = h + 17. What is the remainder when m is divided by 11?
10
Suppose 4*f = -5*s - 11, -33 = 2*f + s - 4*s. Let v = f + 14. Calculate the remainder when v is divided by 3.
2
Let v(r) = -10*r - 9. Let w be v(-6). Suppose 2*g - 3*u = 51, 146 = 4*g + u + w. Suppose 2*b + 70 = 3*b. Calculate the remainder when b is divided by g.
22
What is the remainder when 1/(2 + (-61)/31) is divided by 11?
9
Suppose -3*p + 116 = p. Let c = p - 19. Suppose 3*a + 20 = 5*i - 2*a, 0 = 5*i + 3*a - 36. What is the remainder when c is divided by i?
4
Calculate the remainder when 30/(-35)*(-74 - 3) is divided by 35.
31
What is the remainder when (5 + -12)*(1 + -6 - -3) is divided by 4/(-18) + 76/18?
2
Let s be ((-15)/(-12))/(1/(-4)). Let b = 12 + s. Suppose 0*r + r - 4 = -5*m, 0 = -2*r - 2*m + 32. Calculate the remainder when r is divided by b.
5
Let q(v) = -v**2 + 9*v - 5. What is the remainder when q(7) is divided by 3?
0
Suppose -5*d + 79 = -3*l, 4*l = 4*d - 64 + 4. What is the remainder when d is divided by 10?
7
Suppose -3*j + 664 = 5*j. Calculate the remainder when j is divided by 21.
20
Suppose -2*x + 7 = -1. Suppose 0*u = -u + 12. Suppose b - 2*m - 2 = -m, x*m - u = 0. What is the remainder when 8 is divided by b?
3
Let g(a) = -a**3 - 12*a**2 - 1. Let o be (-15)/(-2)*(-24)/15. Let s be g(o). Let r(x) = -18*x**3 + 2*x**2 + x. What is the remainder when r(s) is divided by 7?
5
Suppose -8 = -3*u + u. Let z = -7 + u. Calculate the remainder when 63 + z/6*-4 is divided by 17.
14
Suppose -r - 4*b = -4*r + 119, 2*r + 2*b = 98. Suppose -n - 11 = -27. Calculate the remainder when r is divided by n.
13
Let a be 3 - (12/3 + 2). Let v = a + 11. What is the remainder when 14 is divided by v?
6
Let p(x) = 8*x + 4. Let u be 2 - 1*4 - -5. Let r = 1 + 14. Calculate the remainder when p(u) is divided by r.
13
Suppose 0*t = 3*t. Suppose t*d - 22 = -2*d. What is the remainder when -5*1 - (308/(-11) + -9) is divided by d?
10
Suppose 0 = 2*r + 4*q - 50, 0*r + 54 = 2*r + 3*q. Let i = r + 7. Calculate the remainder when i is divided by 14.
12
Let n(g) = 4*g**2 + 3*g - 7. Calculate the remainder when n(3) is divided by 20.
18
Let z = 48 - 40. Calculate the remainder when 53 is divided by z.
5
Suppose -3*s = 5*z - 206, -6*s + 10 = -s. What is the remainder when 78 is divided by z?
38
Suppose -3*x - 2*c + 3*c + 44 = 0, x + 2*c - 17 = 0. Let g(j) = 3*j - j - 2 + 3 - 5*j**2 + 3*j**3. What is the remainder when g(3) is divided by x?
13
Suppose -4*a + 16 = -12. What is the remainder when a is divided by 4?
3
Let l be -1*(-3)/(-6)*6. What is the remainder when (-110)/(-15) + (-2)/l is divided by 3?
2
Let a = 7 - 1. Let q be (-3)/a + 9/2. Suppose -4 = -0*n - q*n. What is the remainder when n is divided by 1?
0
Suppose -4*d - 3*h + 33 = -2*h, 28 = 4*d - 4*h. Calculate the remainder when d is divided by 5.
3
Let y(j) be the third derivative of 5*j**4/6 - j**3/6 + j**2. Let k be y(-1). Let l = -11 - k. Calculate the remainder when 28 is divided by l.
8
Suppose -7*l + 291 = -66. Calculate the remainder when l is divided by 11.
7
Let i(m) = m**3 - 5*m**2 + 3*m + 4. What is the remainder when i(5) is divided by 13?
6
Suppose -6*k + 4*k = 3*d - 57, 0 = -2*d - 3*k + 43. Let x = 23 - d. What is the remainder when 21 is divided by x?
3
Suppose 12*i - 108 = 108. Let t = -81 + 113. What is the remainder when t is divided by i?
14
Let z be (1 + -2)/(3 + -4). Suppose -5*n + 85 = 4*p, 5*n = 3*n + 5*p + z. What is the remainder when 51 is divided by n?
12
Suppose 28 = 2*m - 4*f - 0*f, 42 = 3*m - 2*f. What is the remainder when 25 is divided by m?
11
Let b(q) = -q + 10. Let p be (-102)/(-14) + (-10)/35. Suppose 0 = -2*m + p*m - 140. What is the remainder when m is divided by b(0)?
8
Let i be 5/(-2) - (-3)/6. Calculate the remainder when 14 is divided by (-10)/12*i*3.
4
Let v = -44 - -62. Suppose u - v = -u. What is the remainder when 24 is divided by u?
6
Let l(f) = f**3 - 4*f**2 + 6*f - 5. Calculate the remainder when 56 is divided by l(4).
18
Let j be (0 - (-12 - -2)) + 2. Suppose -3*q = 5*m - 18, 0 = 4*m + 5*q - j - 5. What is the remainder when 7 is divided by m?
1
Suppose 0 = -5*o + o + 24. Suppose 25 = -b + o*b. Suppose -n + b = -3*f - 20, -5*n + 4*f + 169 = 0. What is the remainder when n is divided by 13?
11
Suppose -25 = -3*b - a, -4*a = -3*b + a + 1. Suppose z - 24 = b. What is the remainder when z is divided by 11?
9
What is the remainder when (-12)/30 - ((-344)/10 + -2) is divided by 8?
4
Let c(o) = 2*o**3 - 5*o**2 + 5. Let a be c(4). Suppose -4*s + a = 5*v, s + s = -6. What is the remainder when v is divided by (14/1)/2 - 0?
6
Let a = -12 + 49. Let u = a + -19. What is the remainder when 35 is divided by u?
17
Let o = 87 + -62. Let c = -12 + 20. Let u(k) = -k**3 + 7*k**2 + 10*k - 7. What is the remainder when o is divided by u(c)?
7
Let m = -12 + 36. Suppose -280 = -4*o - 4*s, 2*o - 2*s = -74 + 218. Calculate the remainder when o is divided by m.
23
Let x(n) = -n**2 + 8*n - 9. Let t be x(6). Suppose 3 = t*i - 3. Suppose -2*c = -3*c + 4. Calculate the remainder when c is divided by i.
0
Let h(g) = -g**3 - 11*g**2 - 11*g - 10. Let n be h(-10). What is the remainder when | {
"pile_set_name": "DM Mathematics"
} |
c*b(a) - 5*x(a). What is the second derivative of k(s) wrt s?
74
Suppose c - 4*c + 3*h + 39 = 0, -4*c + 59 = 3*h. Let m be 12/c*(-7 + 294/18). What is the third derivative of m*p**2 - 13*p**2 + p**6 - 5*p**2 wrt p?
120*p**3
Find the second derivative of 531*b + 649*b + 625 - 1156*b**4 - 625 wrt b.
-13872*b**2
Let s(a) = -5634*a**3 - 5*a**2 + 194*a + 16. Let t(g) = -2818*g**3 - 3*g**2 + 95*g + 9. Let d(j) = 3*s(j) - 5*t(j). What is the second derivative of d(b) wrt b?
-16872*b
What is the third derivative of -6*g - 4*g**3 + 13078 + 6*g - 13080 - 212*g**4 + 51*g**2 wrt g?
-5088*g - 24
Let h(g) be the third derivative of -3599*g**8/168 - 2195*g**5/12 + 47*g**2 + g + 10. What is the third derivative of h(x) wrt x?
-431880*x**2
Let f(w) = -w**2 - 18*w - 127. Let l(g) = 2*g**2 + 50*g + 382. Let q = 398 - 415. Let x(c) = q*f(c) - 6*l(c). Find the first derivative of x(z) wrt z.
10*z + 6
Let x(r) = -648*r + 647*r + 5 + 10. Let l be x(7). Differentiate l - 33*g**2 + 36*g**2 + 10 wrt g.
6*g
Suppose 37 = -2*w + 5. Let b be (1 - -3)/w*4*-2. Find the third derivative of -17*y**b + 15*y**2 + 10*y**2 + 10*y**3 wrt y.
60
Let n(z) be the third derivative of 17*z**7/105 - z**6/20 - 265*z**4/2 - 170*z**2 - z. What is the second derivative of n(i) wrt i?
408*i**2 - 36*i
Let c(d) be the first derivative of 0*d + 271/5*d**5 + 0*d**4 + 0*d**2 - 34/3*d**3 + 120. Find the third derivative of c(f) wrt f.
6504*f
Let m(b) be the third derivative of 31*b**8/28 + b**4/12 - 574*b**3/3 + b**2 - 2*b + 306. Find the second derivative of m(g) wrt g.
7440*g**3
Let i(f) = -f**3 + 7*f**2 + 9*f - 8. Let a be i(8). Let u = 4 - a. Find the second derivative of 59*b**u - 99*b**4 + 5*b + 74*b**4 wrt b.
408*b**2
Let o(i) be the first derivative of -1397*i**6/6 - 458*i**3/3 + i**2/2 - 63. What is the third derivative of o(n) wrt n?
-83820*n**2
Suppose -4*x - 2*k + 898 + 546 = 0, 5*k = 4*x - 1430. Suppose 6*y - 16*y = -x. What is the first derivative of 8 + 23*f - y - 12*f - 16*f wrt f?
-5
Let v = -484 + 504. What is the derivative of 18*k**3 + 154 + 39 + 2*k - 42*k**3 - k - v wrt k?
-72*k**2 + 1
Find the first derivative of -2703*k**4 - 3407 + 2*k + 2691*k**4 + 2*k**3 - 6*k + 0*k wrt k.
-48*k**3 + 6*k**2 - 4
Suppose 0*i - 3*i - 6 = 0, 4*u + 3*i = 126. Find the second derivative of -10*d - u*d + 94*d - 53*d**2 - 59*d**2 - 22*d wrt d.
-224
Suppose 19 = 4*p - 5. Let d be (p/12)/((-3)/(-18)). Find the third derivative of 10*f**3 - 9*f**d + 6*f**2 + 5*f**3 wrt f.
36
Let h(q) = 8464*q**2 + 9*q + 5963. Let f(r) = -16833*r**2 - 20*r - 11927. Let l(z) = 4*f(z) + 9*h(z). What is the second derivative of l(v) wrt v?
17688
Let p(l) be the third derivative of 0*l + 0*l**7 - 37/30*l**5 + l**2 + 0*l**3 + 55/24*l**4 + 0*l**6 + 0 + 1/168*l**8. Find the second derivative of p(t) wrt t.
40*t**3 - 148
Let j(o) be the first derivative of -2*o**2 - 49*o + 35. Let z be j(-13). What is the third derivative of 14*v**z - 15*v**3 + 12*v**2 - 30*v**3 wrt v?
-186
Let x(h) = h**5 + 2*h**4 - h**3 - h - 1. Let c(v) = 17*v**5 + 6*v**4 - 66*v**3 - 4*v + 433. Let b(j) = -c(j) + 3*x(j). Find the second derivative of b(f) wrt f.
-280*f**3 + 378*f
Let o be (4 + 81/(-18))*(-3 - 1). What is the third derivative of i**5 + 33*i**3 - 1296*i**o + 1 + 660*i**2 + 655*i**2 wrt i?
60*i**2 + 198
Suppose 5*l = -l + 36. Let w be 85/1 + (4 - (l + -4)). Differentiate -2*b - w*b**2 + 2*b - 3 + 77*b**2 with respect to b.
-20*b
Let m be ((-18)/4)/((-12)/8) - -53. Differentiate -17*v**2 + m*v**2 + 61 + 38 - 18*v**2 wrt v.
42*v
What is the first derivative of 3224 + 1280 - 14500679*b + 14502584*b wrt b?
1905
Suppose -5*l + 3*a = -2*a - 490, 3*l - 2*a = 290. Find the third derivative of 94*n**4 - 81*n**5 - 56*n**2 - l*n**4 - 5*n**2 wrt n.
-4860*n**2
Let b = 27 - -13. Suppose 5*i - 5*j - b = -2*j, 0 = 2*i + 2*j. What is the first derivative of 1 + 11*q**4 + 3*q**4 + 5*q - i*q wrt q?
56*q**3
Differentiate 718 - 2*q**4 + 3*q**4 - 687*q + 9*q**3 + 687*q wrt q.
4*q**3 + 27*q**2
Let n(v) be the third derivative of 1053*v**4/8 - 653*v**3/6 + 5*v**2 - 32. Find the first derivative of n(w) wrt w.
3159
What is the third derivative of 2509*t**2 + 8*t**6 + 19*t**6 + 366*t**3 + 3084*t**2 + 20*t**6 - 41*t**6 wrt t?
720*t**3 + 2196
Let s(n) be the first derivative of 7*n**6/6 - 2*n**5 - 398*n**2 - 194. What is the second derivative of s(i) wrt i?
140*i**3 - 120*i**2
Let d(x) be the third derivative of 0 + 17*x**2 - 6*x**3 + 0*x**6 - 1/12*x**4 - 6*x + 0*x**7 + 0*x**5 - 169/336*x**8. Find the second derivative of d(a) wrt a.
-3380*a**3
Suppose 0 = -4*n - 5 + 17. What is the second derivative of -7*b**4 - 5*b**3 + 9*b**4 - 2*b**n + 6*b**3 + 33*b wrt b?
24*b**2 - 6*b
Let p = 8595 - 8593. Let x(n) be the first derivative of 0*n**p + 0*n**3 + 0*n**4 - 6*n + 8/5*n**5 + 17. Differentiate x(r) with respect to r.
32*r**3
Find the third derivative of -6*b**4 + 6*b**4 + 277*b**2 - 94950*b**6 + 93394*b**6 wrt b.
-186720*b**3
Suppose 2*i = -k - 2*i + 17, -3*i + 33 = 3*k. Suppose -2*x + 10*m = k*m - 9, 2*x + 11 = -3*m. What is the first derivative of -14 + 14 + 7 - 13*p**x wrt p?
-26*p
Let k(l) be the second derivative of -l**8/56 + 2*l**7 - l**5/20 - l**4/6 + 1055*l**2 - 4716*l. Find the third derivative of k(g) wrt g.
-120*g**3 + 5040*g**2 - 6
Let b(i) be the third derivative of 17/2*i**3 - 1/12*i**4 + 0*i + 0 + 5/6*i**5 - 62*i**2. Differentiate b(a) with respect to a.
100*a - 2
Let x = -77 - -79. Find the second derivative of 17*k**2 - 6*k + 4*k + 24*k - x*k**3 wrt k.
-12*k + 34
Let d = -98 + 90. Let v(i) = -5*i - 40. Let q be v(d). What is the third derivative of 4*f + f**2 - 2*f**4 - 17*f - 11*f + q*f**4 + 15*f**3 wrt f?
-48*f + 90
What is the third derivative of 4756*r**2 + r**5 - 7 - r**5 + 540*r**6 - 4749*r**2 wrt r?
64800*r**3
What is the second derivative of 3754*i**2 - 687*i - 8137*i**2 + 4006*i**2 wrt i?
-754
Let i(o) = 8747*o**4 - 194*o**2 + 6*o + 4. Let q(s) = 8749*s**4 - 195*s**2 + 5*s + 3. Let l(b) = 6*i(b) - 7*q(b). Find the third derivative of l(h) wrt h.
-210264*h
Let g(r) = -41*r**2 + 7*r + 278. Let d(i) = -10330 + 16*i - 83*i**2 + 5062 + 5825. Let a(z) = -3*d(z) + 7*g(z). Differentiate a(v) with respect to v.
-76*v + 1
Let d(i) be the third derivative of -145*i**7/14 - i**6/60 - 503*i**5/10 - 10*i**2 + 2*i - 6. Find the third derivative of d(p) wrt p.
-52200*p - 12
Let r(b) = 89*b**3 + 6*b - 20. Let n = 73 - 84. Let z(w) = 179*w**3 + 11*w - 41. Let j(t) = n*r(t) + 6*z(t). Differentiate j(k) with respect to k.
285*k**2
Let u(n) be the second derivative of -2 - n - 4*n**2 + 1/3*n**3 - 11/10*n**6 + 0*n**4 + 1/20*n**5. What is the second derivative of u(w) wrt w?
-396*w**2 + 6*w
Suppose 0 = -8*a + 354 + 374. Differentiate 36 - 19 - 3*m - 9 + a - 35*m**4 + 94 wrt m.
-140*m**3 - 3
Suppose -4*x + 12*x = 112. What is the second derivative of -71*o**2 + 110*o**2 + 95*o + x*o + 10*o wrt o?
78
Suppose 0 = -7*t + 13 + 64. Suppose t*d - 8*d - 15 = 0. Find the third derivative of -780*p**3 + 16*p**5 + 780*p**3 + 7*p**d - 23*p**2 wrt p.
1380*p**2
Let l be 10/4 + 1/(-2). Let j be (-483)/(-3) - 0 - 4*2/(-4). What is the third derivative of -185*a**6 + j*a**6 - 20*a**2 + 52*a**l wrt a?
-2640*a**3
Let o be 3*23*5/(-15). Let b be o/(-3) + -3 - (-6)/18. What is the third derivative of -38*x**5 + 18*x**2 + 11*x**6 + 38*x**b - 31*x**6 wrt x?
-2400*x**3
Let l(r) be the third derivative of 77*r**9/24 + 1381*r**5/30 + 1535*r**2 - 2. What is the third derivative of l(q) wrt q?
194040*q**3
Let s(d) be the second derivative of 2155*d**4/12 - 473*d**3/3 - 48*d + 12. What is the second derivative of s(f) wrt f?
4310
Differentiate -967*f + 1287 + 589 - 367*f + 196 with respect to f.
-1334
Let i(a) = -a**2 - 14*a - 30. Let y be i(-3). Find the first derivative of 38 - 3*v + 12*v + 50*v**3 - 47*v**y wrt v.
9*v**2 + 9
Let k be 72/(-128)*(-32)/12. Let v(z) be the second derivative of -2*z + 0 + 0*z**3 + 5/6*z**4 - k*z**2. Find the first derivative of v(p) wrt p.
20*p
Let t(n) be the first derivative of -297*n**6 + 877*n**3/3 + 2082. Find the third derivative of t(r) wrt r.
-106920*r**2
What is the third derivative of 1703*j**2 - 92*j**3 + 148*j**3 + 1312*j**2 - 36*j**5 - 55*j**3 - 110*j**5 wrt j?
-8760*j**2 + 6
What is the derivative of 593 + 751 + 48 + 836 + 3387 + 874*u wrt u?
874
L | {
"pile_set_name": "DM Mathematics"
} |
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