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rt -1, -3, 16, -2, -8 in decreasing order.
16, -1, -2, -3, -8
Sort -243, -14, 0, -3, -8 in descending order.
0, -3, -8, -14, -243
Put -0.1, -2.0885, -3, -12/11 in descending order.
-0.1, -12/11, -2.0885, -3
Put 0.003, -1/3, -81, 3 in decreasing order.
3, 0.003, -1/3, -81
Sort -18.2, 0.1, -43.
-43, -18.2, 0.1
Sort 4, 87, 1, -4, -14 in decreasing order.
87, 4, 1, -4, -14
Put 4, -4, 673, 0.5 in increasing order.
-4, 0.5, 4, 673
Put -3/2, -0.03, -24, -1, -7 in decreasing order.
-0.03, -1, -3/2, -7, -24
Put 1629, -3, -0.07 in decreasing order.
1629, -0.07, -3
Put -37, 4, 0, -51, 1 in descending order.
4, 1, 0, -37, -51
Sort -51, -5, 0, -7, -47.
-51, -47, -7, -5, 0
Sort -4, 3, 2/7, 7.25, 4, -3 in increasing order.
-4, -3, 2/7, 3, 4, 7.25
Sort 3, -12252, -2, 2.
-12252, -2, 2, 3
Sort -2, -49, -15, 1 in descending order.
1, -2, -15, -49
Put -33, -15, 0, 3 in ascending order.
-33, -15, 0, 3
Sort -7/26, 3, -2, 5, 2/9.
-2, -7/26, 2/9, 3, 5
Put -1143, -10, 0 in descending order.
0, -10, -1143
Sort -619, -0.07, -4, 0.3, -1 in descending order.
0.3, -0.07, -1, -4, -619
Sort -0.041, -1, -38, 0.05.
-38, -1, -0.041, 0.05
Sort 1, 4, -5.2, 5, 0.01 in decreasing order.
5, 4, 1, 0.01, -5.2
Put -150, -2, 4, -3, 44, 5 in ascending order.
-150, -3, -2, 4, 5, 44
Sort -31, -487, -1/10, 2/15 in increasing order.
-487, -31, -1/10, 2/15
Sort 14, -7/8, 1/490.
-7/8, 1/490, 14
Sort 1895, 7, -1 in descending order.
1895, 7, -1
Put -6/37, 56, -1/5, -9/5, 0.4 in decreasing order.
56, 0.4, -6/37, -1/5, -9/5
Put -5290, 3, 1/3, -0.5 in decreasing order.
3, 1/3, -0.5, -5290
Sort -15.23, 0.2, -0.08 in increasing order.
-15.23, -0.08, 0.2
Put 120, -3, 230 in decreasing order.
230, 120, -3
Sort 0.06, 3.9178, 5.
0.06, 3.9178, 5
Put 2, -5.12, -0.21, -3, -2/13 in decreasing order.
2, -2/13, -0.21, -3, -5.12
Put 3, 0, -8030, -7 in increasing order.
-8030, -7, 0, 3
Sort -2/13, 1285, 4/11 in descending order.
1285, 4/11, -2/13
Put 2, -28, 453, -6, -1 in ascending order.
-28, -6, -1, 2, 453
Sort 96, 26, -3, -19 in ascending order.
-19, -3, 26, 96
Sort -8, -272, -69.
-272, -69, -8
Put -4, -32, 15, 4, 30, 2 in ascending order.
-32, -4, 2, 4, 15, 30
Sort 9/10, -4, -3, 2, -6/7, 2/3.
-4, -3, -6/7, 2/3, 9/10, 2
Sort 1, -2, 20, 72, -5.
-5, -2, 1, 20, 72
Sort -2, -1, -2074/7, 0.25, 4.
-2074/7, -2, -1, 0.25, 4
Sort -2/7, -10, 0.34, 1/4 in ascending order.
-10, -2/7, 1/4, 0.34
Put -1, 3, -4, 8, 4 in descending order.
8, 4, 3, -1, -4
Sort -5, 579, -4/3, 2/9, 17/16.
-5, -4/3, 2/9, 17/16, 579
Sort 0.3, 1/3, -1/2, 0.04, -31, 1 in decreasing order.
1, 1/3, 0.3, 0.04, -1/2, -31
Sort 3/7, 3, 4, 1/2, -2/55 in decreasing order.
4, 3, 1/2, 3/7, -2/55
Put -0.1, -9/4, 155, -0.5 in descending order.
155, -0.1, -0.5, -9/4
Sort 16, -4, 4, -3, 3 in decreasing order.
16, 4, 3, -3, -4
Sort -2, 0, -5722, -0.03, -5/3 in descending order.
0, -0.03, -5/3, -2, -5722
Put 5, 0, 2, -285, -1 in decreasing order.
5, 2, 0, -1, -285
Put -1.5, 5/4, 34, -3, 3 in descending order.
34, 3, 5/4, -1.5, -3
Sort 0.4, 26, 51/8, -0.3 in decreasing order.
26, 51/8, 0.4, -0.3
Put -137, 5, -13, -1 in decreasing order.
5, -1, -13, -137
Put 0, 566, -28 in decreasing order.
566, 0, -28
Sort 28, -16, 5 in decreasing order.
28, 5, -16
Put 2/3, 19/3, 2, -15/7, -3/4 in decreasing order.
19/3, 2, 2/3, -3/4, -15/7
Sort -3512, 1, -56 in descending order.
1, -56, -3512
Sort 0.2, 4/63, -0.5 in increasing order.
-0.5, 4/63, 0.2
Sort 1/267, 11/3, -0.2 in increasing order.
-0.2, 1/267, 11/3
Put 1, 573, 10 in ascending order.
1, 10, 573
Sort -5, 0.5, -3/8, -526300 in decreasing order.
0.5, -3/8, -5, -526300
Sort -1276.7, -2, -1/4, -1, 2 in ascending order.
-1276.7, -2, -1, -1/4, 2
Sort 7561, 4, -4.
-4, 4, 7561
Put -6, -22.51, -9 in ascending order.
-22.51, -9, -6
Put 4, 130, 3, 11, -9 in decreasing order.
130, 11, 4, 3, -9
Put 32, -1, -23, 0, 5 in increasing order.
-23, -1, 0, 5, 32
Sort 1504, -1, -16.
-16, -1, 1504
Sort -113, 6, 576 in increasing order.
-113, 6, 576
Sort -51, 5, 0, -33, 4 in increasing order.
-51, -33, 0, 4, 5
Put -11, 13, -5, -6, -4, -2 in descending order.
13, -2, -4, -5, -6, -11
Sort 2, -2, 14.5, 2/9 in increasing order.
-2, 2/9, 2, 14.5
Put -5/21, 19, -17.6 in descending order.
19, -5/21, -17.6
Put 951, 5, 17, 0.3 in descending order.
951, 17, 5, 0.3
Put 0, -12, -4, 513, -0.3 in ascending order.
-12, -4, -0.3, 0, 513
Sort -1864, -4.78, 0.4.
-1864, -4.78, 0.4
Sort -98, -3, 10, -5, 5 in increasing order.
-98, -5, -3, 5, 10
Put 7, 45, 3, -6, -5, 1 in descending order.
45, 7, 3, 1, -5, -6
Sort -3, 0.1, -2/249, 0.2, -2/15 in ascending order.
-3, -2/15, -2/249, 0.1, 0.2
Put 4/5, 4, 3, -0.2, 16.2 in decreasing order.
16.2, 4, 3, 4/5, -0.2
Put -558, -5, 12, -2/11, -2/5 in descending order.
12, -2/11, -2/5, -5, -558
Put 30, 2, -1/4 in ascending order.
-1/4, 2, 30
Put -1/5, 0.1, -2/1863, -3 in decreasing order.
0.1, -2/1863, -1/5, -3
Sort 4, -41, 30, 3 in increasing order.
-41, 3, 4, 30
Put 4077, -3, 7, 3 in decreasing order.
4077, 7, 3, -3
Sort 1, -19479, -8 in increasing order.
-19479, -8, 1
Put -15, 2/11, 64, 2, 0.5 in descending order.
64, 2, 0.5, 2/11, -15
Put 1, 52, 4, -4, 120, -1 in descending order.
120, 52, 4, 1, -1, -4
Sort 0, 10, 1, 186.
0, 1, 10, 186
Put -8, 5, 0, -3, 2453 in increasing order.
-8, -3, 0, 5, 2453
Sort -28, -17, 16, -5, 2 in descending order.
16, 2, -5, -17, -28
Sort 0.2, -718/7, -0.1, 2/5, -2/9.
-718/7, -2/9, -0.1, 0.2, 2/5
Sort -4, -0.1075, 2, 0.1, 5 in ascending order.
-4, -0.1075, 0.1, 2, 5
Sort 7, 5, -0.1085, -3, 1 in descending order.
7, 5, 1, -0.1085, -3
Sort 4, -16, -354, 2, -4, 5.
-354, -16, -4, 2, 4, 5
Put -0.4, -2, 2, -1/10, -12, 0.85 in decreasing order.
2, 0.85, -1/10, -0.4, -2, -12
Sort 2345, -83, -5 in decreasing order.
2345, -5, -83
Sort 1.8, -54, 5, 0.2, 8.
-54, 0.2, 1.8, 5, 8
Sort -629, 1, 6192.
-629, 1, 6192
Put -3, 6010, 4, -4, 0 in ascending order.
-4, -3, 0, 4, 6010
Sort -2, -1, -22466 in increasing order.
-22466, -2, -1
Sort -72/17, -1/4, -3, 1, -113 in increasing order.
-113, -72/17, -3, -1/4, 1
Sort -0.095, 4, 2, -743, 0, 0.3 in increasing order.
-743, -0.095, 0, 0.3, 2, 4
Put -5, 1, -39 in ascending order.
-39, -5, 1
Put 25/9, -0.08, -0.4, -1 in increasing order.
-1, -0.4, -0.08, 25/9
Sort -3691, 2, 22.
-3691, 2, 22
Sort 34, 5, 68, -4, -2 in increasing order.
-4, -2, 5, 34, 68
Put 61, -5, -131 in descending order.
61, -5, -131
Sort -70, 16, 13, -3.
-70, -3, 13, 16
Put 1/2, 6.3, 3, -0.087, -14, -4 in descending order.
6.3, 3, 1/2, -0.087, -4, -14
Sort -7159, -2, 4, -1/4, 2/5, -0.1.
-7159, -2, -1/4, -0.1, 2/5, 4
Sort -5, 331, 166 in ascending order.
-5, 166, 331
Sort 8161, -1, -4 in descending order.
8161, -1, -4
Sort 11, -3, 5, 69 in decreasing order.
69, 11, 5, -3
Sort 790, -8, 5, 1 in decreasing order.
790, 5, 1, -8
Put -2, 3/281, -0.4, 5, -5 in descending order.
5, 3/281, -0.4, -2, -5
Put -1, -5, -6, 2/21, 7 in decreasing order.
7, 2/21, -1, -5, -6
Put 2, 1, -4, -5, 143, 39 in descending order.
143, 39, 2, 1, -4, -5
Put -3, 19022.2, 0.08 in decreasing order.
19022.2, 0.08, -3
Put 1833, 17, -2/3, 3/7, 0.5, 3 in descending order.
1833, 17, 3, 0.5, 3/7, -2/3
Sort 4, -135, -21, 3, -7 in ascending order.
-135, -21, -7, 3, 4
Sort -11, 0, -3, -519 in descending order.
0, -3, -11, -519
Sort 7, 0, -3, 9, -2 in increasing order.
-3, -2, 0, 7, 9
Sort 5, 82, 4, -98, 2, 3.
-98, 2, 3, 4, 5, 82
Put 41, -2/71, -3/2, 0.2, -0.3 in decreasing order.
41, 0.2, -2/71, -0.3, -3/2
Put -7, -4, 0, -269, 6 in ascending order.
-269, -7, -4, 0, 6
Sort 59, -3/4, -2, 0, 1/6.
-2, -3/4, 0, 1/6, 59
Sort -65, 1, 0.1, 33, -3/5 in decreasing order.
33, 1, 0.1, -3/5, -65
Put -7, 0, 239, 4 in decreasing order.
239, 4, 0, -7
Sort -66, 1, 47 in ascending order.
-66, 1, 47
Put -15, -1835, 1, 2, -4/7 in descending order.
2, 1, -4/7, -15, -1835
Put 2, -67052, -5 in decreasing order.
2, -5, -67052
Sort -1/7, -217, 8, -0.5, 2/13, -1.
-217, -1, -0.5, -1/7, 2/13, 8
Put -943, 0, -2, 40 in increasing order.
-943, -2, 0, 40
Put -7, 2, 818 in decreasing order.
818, 2, -7
Put 9, 1, 50, 82 in decreasing order.
82, 50, 9, 1
Sort 3, -9, -58, -124, -4 in decreasing order.
3, -4, -9, -58, -124
Sort 5, -2, -2/3, -0.4, 4, -29 in increasing order.
-29, -2, -2/3, -0.4, 4, 5
Sort 0.3, -75/76, 19/2.
-75/76, 0.3, 19/2
Sort 1, -1, 11732 in increasing orde | {
"pile_set_name": "DM Mathematics"
} |
3*f, u*z + 3*z - 7 = -2*f for z.
3
Let b(y) = y**3 + 5*y**2 + 6*y + 5. Let i be b(-4). Let n be (-3 - i) + (-4)/2. Let r be 2*2/(4 + n). Solve -4*v + r*w = 20, v + 4*v - 4*w + 25 = 0 for v.
-5
Let b = -13 + 21. Let u(p) = p**2 - 8*p + 5. Let s be u(b). Solve -3*a + 5*m = -0*m + 12, -s*a + 3*m - 20 = 0 for a.
-4
Let u = -21 - -25. Solve 4*m - 4 = -u*o, -4*m + 1 + 6 = o for o.
-1
Let c(i) = i + 7. Let y be c(-5). Solve -3*s + 10 = 2*s + h, 0 = -5*s - y*h + 15 for s.
1
Let j = -31 + 50. Let v = j - -1. Solve 2*p - 2*f - 3*f - 15 = 0, f = 5*p + v for p.
-5
Let x = -37 + 41. Solve -3*n + x*y = -n - 6, 3*n = -3*y + 9 for n.
3
Suppose -26 = 3*l + 1. Suppose 4*h - 3*t = -t + 54, t = 1. Let y = l + h. Solve -11 - y = 4*r - q, -2*q + 14 = -2*r for r.
-3
Let c(a) = 3*a**2 - 4*a + 1. Let y be c(2). Suppose y*v = 3*h - 0*h, 5*v = -3*h. Solve -2*q + 3*z + h = 7, z = -2*q + 13 for q.
4
Suppose 4*o = -2*m + 26, 8*m - 34 = -5*o + 5*m. Solve 0 = o*b - 5*a - 15, a = -2*a - 15 for b.
-2
Let m(j) = 3*j**2 + 14*j - 3. Let x be m(-5). Solve -x*i = 2*h + 10, -2*i - 3*h + 0*h - 14 = 0 for i.
-1
Suppose 5*m + u - 8 - 11 = 0, 4*m = -2*u + 14. Let t be (-2 + 2)/(m + -5). Solve t = g - 3*i + 1 - 5, -2*i = -2*g for g.
-2
Let w be (-16)/8*14/(-4). Suppose 9 = 5*h + 2*o, 6*h - o = 3*h + 12. Solve -m = g - w, -h*m + 2*g = 2*m - 14 for m.
4
Suppose 2*g - d - 2 = 0, -6*g + 2*g + 6 = -d. Solve 8 = -4*n + 4*p, 4*n - n = 5*p - g for n.
-4
Let y = -102 + 105. Solve -5*l = -y*v - 34, 2*v - 2*l + 3*l = -1 for v.
-3
Suppose -9 = -4*u + 2*u - x, -2*x = 2*u - 12. Let t(z) = -u*z + z**2 + 4*z + 7 - 3. Let a be t(0). Solve 2*v = -3*k + 2, 1 + 1 = 3*v + a*k for v.
-2
Let p be ((-12)/(-9))/((-2)/(-33)). Solve -b = -3*f - 15, 5*f - 2 = -p for b.
3
Let j(m) = m**3 - 8*m**2 + 9*m - 9. Let l be j(7). Solve -l*t - 25 = 4*h + 12, 4*t = -2*h - 26 for t.
-5
Let j(h) = -3*h - 3. Let l be j(-1). Solve 4*o = -l*o + 2*g - 12, -3*g = o + 3 for o.
-3
Let l = -4 - -17. Let m(o) = o**3 + 7*o**2 + 2*o + 14. Let b be m(-7). Solve 6 = j + 2*p, b = -3*j + 4*p - 35 + l for j.
-2
Let s be 6/21 + (-132)/(-28). Solve 0*r + r - 27 = s*o, 0 = -5*r - 4*o - 10 for r.
2
Let s be -2*((-15)/(-2))/5. Let z be -6 + 4 - s/1. Solve -m - r - 5 = m, 3*r - z = -2*m for m.
-4
Suppose 52 + 8 = 5*o. Solve 2*v + 0*p = -5*p + o, -2*v + 3*p = 4 for v.
1
Suppose 0 = 4*y - 5*y. Suppose -r = -5, -h - 2*r + 15 = -y*h. Solve -4*i - 1 = -k, 2*i = 6*i - h*k + 5 for i.
0
Suppose -5*w + 7 + 13 = 0. Solve w*b + 2 = 2*h, -2*b + 5*h + 9 = -2 for b.
-2
Suppose 84*h - 25 = 79*h. Solve 5*z = 3*g - 4*g - 1, 2*z + 5*g + h = 0 for z.
0
Let b = -1 - -3. Let g = 164 - 129. Solve 3*x + 4*a = 31, 5*a - g = b*x - 5*x for x.
5
Suppose 37 - 7 = 10*o. Solve 3*k = 2*s - o - 0, 0 = -4*k - 3*s - 4 for k.
-1
Let i be (-15)/20 + 14/8. Solve -14 = 3*z + 2*u, 2*u + i = -7 for z.
-2
Let r be 2/(-4)*(-22 - 2). Suppose 4*j = -2*n + 2, -4*n + 2*n = -3*j + r. Suppose 0*z - z + 8 = j*s, -3*s + 11 = z. Solve a = -z*a - 3, 3*l + 5*a = -11 for l.
-2
Suppose 2*n + 5 = -4*b + 17, n - 3 = -3*b. Let j = 78 + -73. Solve -q + 5*q = -5*h + 17, 0 = 3*h - j*q + n for h.
1
Let l = -19 + 21. Solve -4*a - l = -5*v, -3 = 2*a - 4*v - 5 for a.
-3
Suppose -114 = -4*f + 2*f. Let d = 91 - f. Solve i = 2*r + 13, -d = -0*i - 3*i + 5*r for i.
3
Let x = -6 + 8. Solve -w + x*v + 3 = 0, 0 + 3 = w - v for w.
3
Suppose 4*g + 4*f = 70 + 6, -2*g - 3*f = -41. Solve 3*v + z = 0, -z = -4*v + 3*z - g for v.
-1
Suppose h = -3*h + 32. Suppose d + 2*o = -2, 5*d - 2*o - h = -3*o. Let c = 10 + -5. Solve l + 4*l = -c*m, d*m - l = 0 for m.
0
Let l be ((-17 + -3)*(-4)/(-5))/(-2). Solve 0 = 3*u - 7*u, u - l = -4*s for s.
2
Let y(h) be the first derivative of h**4/4 + h**2/2 + 2*h + 1. Let m be y(0). Solve d - m = 0, d + 22 = 5*s + 4 for s.
4
Suppose 0 = 3*p + p - 20. Solve p*i - 4*i - 3 = 0, -5*m = 3*i - 9 for m.
0
Let m(i) = -i**3 + 7*i**2 - 4*i - 2. Let r be m(6). Let q be (1/2)/((-4)/48). Let w be (46/q + 1)*-3. Solve 2*v = -r, 4*v = g + g - w for g.
0
Suppose -3*m - 6 = -18. Suppose 4*g = 0, 0*g = 3*u + m*g - 9. Let o be -3 - -2*u - -1. Solve 2*r + 4 + 0 = -2*d, o*d - 5*r = 19 for d.
1
Suppose 3*y - 27 = -4*n, 5*y - 18 = -4*n + 19. Solve -3*d - 4*p = -14, -3*p + 19 - y = 4*d for d.
2
Let q = 16 - 12. Solve -2*x = -5*b + 21, -12 - 1 = -b - q*x for b.
5
Let f be (-3)/(-3) - -1 - 8. Let v be ((-30)/8)/(f/16). Let a = 12 - v. Solve -4*t - a*n = n - 1, 4 = -4*n for t.
1
Let i(d) = 3*d - 3. Let l be i(5). Suppose 2*b = 4*m, -4*m + 2*m + 4*b - l = 0. Suppose m*a = -a. Solve -4*o - 1 = -4*q + 3, -4*q - 4*o - 36 = a for q.
-4
Suppose 0 = t - 2*t + 1. Let w be ((6 - 3) + 0)/t. Let z = w - 0. Solve -3*j + 2*j = 5*k + 8, -z*k = 2*j + 9 for k.
-1
Suppose 0 = 3*k - 7 + 4. Solve -h + k = t, -4*h + 5*t + 2 = -2*h for h.
1
Let s(p) = -p**2 - 4*p + 18. Let d be s(-6). Solve -2*l - d*x = -x - 23, 3*l + 3 = 5*x for l.
4
Suppose 3*g - 2*l = 42, 2*l - 3*l + 19 = g. Suppose 0 = -3*w + g - 7. Solve 3*u + 5*q + 3 = 0, 4*u + 4*q - w = -7 for u.
-1
Let x be 11/3 + 2/(-3). Suppose 0 = -0*h + 5*h + 3*y - 44, -2*y = h - 6. Let q be (28/10)/(1/h). Solve 11 = d + x*w, -2*d - 2*w + 6*w = q for d.
-4
Suppose 10 = -15*n + 17*n. Solve -4*i + 26 = -2*z, -4*z - z = n*i + 5 for i.
4
Let k(a) = -a**3 + a**2 + 3*a - 2. Let r be k(2). Solve w - z = 7, 4*w = -r*w - 5*z + 1 for w.
4
Let c = 36 - 62. Let f = 37 + c. Solve -v = 5*i - f, i + 3*v = -3*i for i.
3
Let g(r) be the first derivative of r**3/3 - r**2/2 + 4*r + 1. Suppose 0*n = 6*n - 4*n. Let x be g(n). Solve -x*q - 12 = -2*l, -18 = -0*q + 2*q + 2*l for q.
-5
Let h(c) = -c**3 - c**2 - 3*c - 4. Let y be h(-2). Solve t = w + 4*w - 12, 5*t = -2*w - y for t.
-2
Let v(x) = x**2 + x + 5. Let f = -2 + 2. Let p be v(f). Let z = -9 - -12. Solve -z*q = -5*j - 4, -p*j + 3 = -2 for q.
3
Let b = 5 + -2. Solve 20 = 3*z - b*x + 2, -3*z + 2 = x for z.
2
Suppose 4*r + 16 = -3*l + 5*l, 3*l = 5*r + 21. Solve -2*o = -3*g - 17, l*g - o + 11 = -0*o for g.
-5
Suppose -5*g - 16 - 2 = -2*f, -4*g - f - 4 = 0. Let p = g - -5. Solve 4*t = -t + p*x - 3, -3*t - 1 = -2*x for t.
-3
Let a(n) = -n**2 + 4. Let y be a(0). Suppose -y*c - 4 = -5*c. Solve s - c*o + 19 = 1, o = s + 6 for s.
-2
Let p(l) = -l**3 - 7*l**2 - 6*l + 3. Let n be p(-6). Let w be n/(-2)*2*-1. Solve 3*h + 7 = -w*q - h, 5*q - 2*h = 23 for q.
3
Let n(p) = -2*p. Suppose -z = -2*z + 4. Suppose 5*c - 36 = z*y - 0, -y = -c + 8. Let i be n(y). Solve 2*d = 3*v + 4, -i = -4*v - 2*d - 2*d for v.
0
Let p(i) = -i + 11. Let k be p(8). Suppose 2 + 1 = s - g, 5*s - 31 = -k*g. Solve 19 = -4*d - 1, -s*f + 2*d + 30 = 0 for f.
4
Let j be (2 + -3)/((-5)/(-40)). Let m be 15/(-20) + (-54)/j. Suppose l - 5*x - 2 = 0, -2 = -l - x + 6. Solve -3*q - 15 = 0, 0 = 2*g - 3*q - m - l for g.
-1
Suppose -2*p = 5*q + 5 - 23, -4*p = -3*q - 10. Let i = 2 - q. Suppose 0 = -5*r - 2*k, r + 3*r + 4*k = i. Solve 3*l - 12 = r, 32 = -2*m - 2*m + 3*l for m.
-5
Let h be (8/6)/(-3*(-7)/63). Solve -4*c + 2*s + 4 = 0, -h = 5*c + 2*s - 0 for c.
0
Suppose -4*g = -5*c + 11, -4*c + 10 = -g - g. Solve 2*b + 3*b + c*f = 35, -b + f = 1 for b.
4
Suppose -17 - 21 = -2*t. Suppose -10 = -f + s + s, f = 5*s + t. Solve 2*r - 7*r = f*p - 5, p - 2*r + 15 = 0 for p.
-5
Let q = -22 - -28. Solve 2*s - p - q = 2*p, s = -2*p + 3 for s.
3
Let q = -54 + 54. Solve q = -s + 2*f + 8, 0 = 7*f - 3*f + 20 for s.
-2
Let r(o) = o - 11. Let s be 13 + (-2)/1 + 3. Let p be r(s). Solve -5*m - 31 = -4*y + 10, -5*m - 37 = -p*y for y.
4
Let s(u) = u - 8. Let n be s(5). Let m be (-1 + n/(-3))/1. Let v = 2 - m. Solve 0 = -5*d + 3*t - 2, -7 = -v*d - 3*t + 9 for d.
2
Let x be 16/5 - 4/20. Solve n = -a - x, n - 4*a - 3 = -3*a for n.
0
Let w be (-5 - (4 + -6)) + 5. Solve -4*a - x = 0, w*a - 4*a = 4*x for a.
0
Let x(j) = j**2 - 2. Let k be x(-3). Solve d - 4*i + k = 0, -2*d - d = -2*i - 9 for d.
5
Let t be (-5 - 62/(-14))*14/(-4). Solve 5*z + q - 21 = 0, 3*z - 11 = q - t*q for z.
5
Let s(w) = 8*w + w**2 + 17*w**3 + 3 - 16*w**3 - 10*w**2. Let h be s(8). Suppose 3 - 13 = -5*l. Solve l*k - 10 = 2*o - 0*k, h*k - 9 = 0 for o.
-2
Suppose -4*q = 12, -3*z - 5*q = 5 + 1. Solve -r = z*d - 12, -2*d + 21 = -0*r + 5*r for r.
3
Let b be (-1)/(-2) - 1/2. Solve -4*q - 12 = -4*z, b*q + q - 21 = -5*z for z.
4
Let o(l) = -l**3 + 33*l**2 - 33*l + 37. Let w be o(32). Le | {
"pile_set_name": "DM Mathematics"
} |
-1/4, 3, 7 in ascending order.
-69, -1/4, 1/4, 3, 7
Put -14, 9, 8 in descending order.
9, 8, -14
Sort 8, -1/6, -14 in descending order.
8, -1/6, -14
Sort -48, 3, 5 in decreasing order.
5, 3, -48
Put -0.4, -15, -1/4, 0.5 in increasing order.
-15, -0.4, -1/4, 0.5
Sort -0.08, -22, -4, 1/2 in decreasing order.
1/2, -0.08, -4, -22
Put 2/231, -3, -4, 4 in increasing order.
-4, -3, 2/231, 4
Sort 87, 5, -5.
-5, 5, 87
Put -1/4, 24, -2/3 in descending order.
24, -1/4, -2/3
Put 4, -5, 3, 273 in decreasing order.
273, 4, 3, -5
Put -1, -195, -9, 0 in increasing order.
-195, -9, -1, 0
Put -6, 0, 19, -5 in descending order.
19, 0, -5, -6
Sort -1, 17, 5, 8 in increasing order.
-1, 5, 8, 17
Sort -2, 49, -10.
-10, -2, 49
Sort 9, -4, 5, 27, 2 in decreasing order.
27, 9, 5, 2, -4
Put 0, -65, -2 in ascending order.
-65, -2, 0
Sort 2/25, -5, -4, 1/6, -2/5 in descending order.
1/6, 2/25, -2/5, -4, -5
Put 0, 5, 9, 1 in decreasing order.
9, 5, 1, 0
Sort 8, 5, -18, 2.
-18, 2, 5, 8
Put 2, -4, -54 in ascending order.
-54, -4, 2
Put -5, -4, 3, -1, 36 in increasing order.
-5, -4, -1, 3, 36
Put -5, 3, 9/908 in increasing order.
-5, 9/908, 3
Sort -1, 10/11, -0.3 in descending order.
10/11, -0.3, -1
Sort 5, -3, -1, 3, 4 in ascending order.
-3, -1, 3, 4, 5
Sort -5, -4, -3.
-5, -4, -3
Sort 1/6, -0.11, 2 in descending order.
2, 1/6, -0.11
Sort -0.4, -8, 5 in decreasing order.
5, -0.4, -8
Put -2, 93, 10 in increasing order.
-2, 10, 93
Sort 2, 0.2, -323 in decreasing order.
2, 0.2, -323
Sort -5, 14, -1 in decreasing order.
14, -1, -5
Sort -6, 77, 2 in descending order.
77, 2, -6
Put -1.1, 5, 9 in increasing order.
-1.1, 5, 9
Sort 5, -6, 4, -1 in ascending order.
-6, -1, 4, 5
Sort -0.033, -1/6, 0.1 in descending order.
0.1, -0.033, -1/6
Put 5, 3, -646, -2 in decreasing order.
5, 3, -2, -646
Put 0, -2, -15, -4 in ascending order.
-15, -4, -2, 0
Put -6, -5, 0.3, -0.7 in descending order.
0.3, -0.7, -5, -6
Sort 0.1, -0.5, 3/7, 13 in descending order.
13, 3/7, 0.1, -0.5
Sort 0.3, -3/20, 0.97.
-3/20, 0.3, 0.97
Sort 5, 273, -4, -5 in increasing order.
-5, -4, 5, 273
Sort 1/5, 0.05, 1, 42, -5.
-5, 0.05, 1/5, 1, 42
Put -0.3, 1, 0, -10.19 in ascending order.
-10.19, -0.3, 0, 1
Sort 1, -656, -0.4, 2/11 in decreasing order.
1, 2/11, -0.4, -656
Sort -4, 3, 345 in descending order.
345, 3, -4
Sort -12, 3/7, -2 in decreasing order.
3/7, -2, -12
Sort -17, 1, -2.
-17, -2, 1
Put 0, 214, -5, 10, -2 in ascending order.
-5, -2, 0, 10, 214
Sort 3, 81, -5 in increasing order.
-5, 3, 81
Put -1, -147, -3 in ascending order.
-147, -3, -1
Put -5, 0, -11, 5 in ascending order.
-11, -5, 0, 5
Put -2/11, 11, 0.06, -0.1 in increasing order.
-2/11, -0.1, 0.06, 11
Put 5, 3, 78, 9 in increasing order.
3, 5, 9, 78
Put -5, -245, -2 in decreasing order.
-2, -5, -245
Sort 15, -4, 6 in decreasing order.
15, 6, -4
Sort -18/25, -4, -11 in ascending order.
-11, -4, -18/25
Put -5, 0, -8, -7, 1 in decreasing order.
1, 0, -5, -7, -8
Put -4, -1/8, 5/2 in descending order.
5/2, -1/8, -4
Put 1.8, -60, 1/2 in decreasing order.
1.8, 1/2, -60
Sort 1, 2, -2.
-2, 1, 2
Sort -1/161, 2, 33.
-1/161, 2, 33
Put 7, 0, -4, -5 in decreasing order.
7, 0, -4, -5
Put -2/7, 3, 18, -4 in ascending order.
-4, -2/7, 3, 18
Sort 75, 5, 1 in decreasing order.
75, 5, 1
Put 1/6, 12, 2, -91, 4 in decreasing order.
12, 4, 2, 1/6, -91
Sort 1/4, -3, -1, 31, 4 in descending order.
31, 4, 1/4, -1, -3
Sort -3, 0, -4, 13.
-4, -3, 0, 13
Put -4, -2, -0.3, -496 in descending order.
-0.3, -2, -4, -496
Put -11, -5, 141 in ascending order.
-11, -5, 141
Sort 3, 0, -1, 5 in decreasing order.
5, 3, 0, -1
Put -81, 4, 5 in descending order.
5, 4, -81
Put 3, 2/3, 4, -0.2 in decreasing order.
4, 3, 2/3, -0.2
Sort -2, 6, -541 in descending order.
6, -2, -541
Sort -2, -1, -79 in decreasing order.
-1, -2, -79
Sort -0.01, -1/2, 2/7, 3/2 in decreasing order.
3/2, 2/7, -0.01, -1/2
Sort 0, -32, 5 in decreasing order.
5, 0, -32
Sort -4, -330, 5, 3.
-330, -4, 3, 5
Put -70, -3, 2 in increasing order.
-70, -3, 2
Put 6, -3, 2, -56 in decreasing order.
6, 2, -3, -56
Sort -5, -0.122, -0.5.
-5, -0.5, -0.122
Put -0.2, 3/11, 0.02 in descending order.
3/11, 0.02, -0.2
Sort 56, 0, 5, -1.
-1, 0, 5, 56
Put -15, -1.13, 5 in decreasing order.
5, -1.13, -15
Sort -2, -1.1, 2, -5/3 in increasing order.
-2, -5/3, -1.1, 2
Sort 1/8, -3/7, -0.4, -17 in descending order.
1/8, -0.4, -3/7, -17
Sort 3, 8, 1153 in decreasing order.
1153, 8, 3
Sort 3, 2, -4, 265.
-4, 2, 3, 265
Put -68, 3, -5, 4 in decreasing order.
4, 3, -5, -68
Sort 2/863, 4, 2/5 in descending order.
4, 2/5, 2/863
Sort 2, 3, -5, -4 in descending order.
3, 2, -4, -5
Put -0.5, 1/3, -2/5, -1/6 in descending order.
1/3, -1/6, -2/5, -0.5
Sort -1, -3, -13, 2, -5 in decreasing order.
2, -1, -3, -5, -13
Sort -14, -0.1, -64, 5, -0.3 in increasing order.
-64, -14, -0.3, -0.1, 5
Put -4, -12, -13, 1 in ascending order.
-13, -12, -4, 1
Sort -0.5, 0.2, -0.1, 13, -7 in decreasing order.
13, 0.2, -0.1, -0.5, -7
Put -2/7, -12, -3/4, -0.4 in descending order.
-2/7, -0.4, -3/4, -12
Sort 10, -0.3, 0, -0.1 in increasing order.
-0.3, -0.1, 0, 10
Sort 0, 2, -4, -5 in increasing order.
-5, -4, 0, 2
Sort -3/5, 5, -20, 2/3, 0.4.
-20, -3/5, 0.4, 2/3, 5
Sort 0.3, -156, 4, -5, 0.1 in increasing order.
-156, -5, 0.1, 0.3, 4
Put -979, -4, -3 in decreasing order.
-3, -4, -979
Put 29, 4, -5, 5, 1 in ascending order.
-5, 1, 4, 5, 29
Put -2.5, 0.175, 1 in decreasing order.
1, 0.175, -2.5
Put -4, 0, -9, -1 in ascending order.
-9, -4, -1, 0
Put -0.14, -0.4, -0.2, 0 in ascending order.
-0.4, -0.2, -0.14, 0
Sort -1/1525, 0.1, 3/13, 2/3 in decreasing order.
2/3, 3/13, 0.1, -1/1525
Sort 10, -0.4, -2, 2.1.
-2, -0.4, 2.1, 10
Put -2/9, -1/8, 70/19 in decreasing order.
70/19, -1/8, -2/9
Sort -3, 21, 1 in descending order.
21, 1, -3
Put 51, 0, 1, -2, -1 in ascending order.
-2, -1, 0, 1, 51
Sort -2/3, -5, 5, 31 in decreasing order.
31, 5, -2/3, -5
Sort -5, 7, 153 in increasing order.
-5, 7, 153
Sort -5, -3, 0, 3.
-5, -3, 0, 3
Sort 1, 8/15, 0.1.
0.1, 8/15, 1
Sort 128, 32, 3, 2 in descending order.
128, 32, 3, 2
Sort -0.2, -2/7, 212 in increasing order.
-2/7, -0.2, 212
Put -5, 0, -83 in decreasing order.
0, -5, -83
Put 2, -0.4, -5, -2/41 in increasing order.
-5, -0.4, -2/41, 2
Sort -1, -2/11, 15, -0.5 in ascending order.
-1, -0.5, -2/11, 15
Put -1, -3, 9, 1 in decreasing order.
9, 1, -1, -3
Put -5, 1, 8 in descending order.
8, 1, -5
Sort 0.3, 3206, 1/4 in decreasing order.
3206, 0.3, 1/4
Sort -33, 1, -6.
-33, -6, 1
Put -5, 1, -27, 2 in descending order.
2, 1, -5, -27
Sort -1, -4, 16, -3, -8 in increasing order.
-8, -4, -3, -1, 16
Put 1/3, -1/7, -0.2, 4/3, -0.1 in increasing order.
-0.2, -1/7, -0.1, 1/3, 4/3
Put 1/8, -0.5, -2.6, -3 in ascending order.
-3, -2.6, -0.5, 1/8
Sort -9, 0, 2, -2.
-9, -2, 0, 2
Sort -3, 6, -101 in descending order.
6, -3, -101
Sort -7, 2, 298 in increasing order.
-7, 2, 298
Sort -2, 5, 4, -4.
-4, -2, 4, 5
Sort -17, 0.4, 1, -0.5 in decreasing order.
1, 0.4, -0.5, -17
Put 4, 8, 14, 3 in decreasing order.
14, 8, 4, 3
Put 0.4, 5, -5, -0.5 in increasing order.
-5, -0.5, 0.4, 5
Sort -3/5, 2/11, 5, -1, -5.
-5, -1, -3/5, 2/11, 5
Sort -3, -1, -5, 7 in increasing order.
-5, -3, -1, 7
Sort -4, -5, -2595, -4/5.
-2595, -5, -4, -4/5
Put 0.3, 5, 0.05, -3 in descending order.
5, 0.3, 0.05, -3
Sort -2/9, 1, -0.4, 20, -0.2 in decreasing order.
20, 1, -0.2, -2/9, -0.4
Put -3, 107, 5 in decreasing order.
107, 5, -3
Sort 1/6, 4, 33, 0, -0.5.
-0.5, 0, 1/6, 4, 33
Sort 1, 0, 1/8, -5 in descending order.
1, 1/8, 0, -5
Sort -1/3, 0.4, 0.07, 1.
-1/3, 0.07, 0.4, 1
Put 3, 1, -2, -6, 2 in decreasing order.
3, 2, 1, -2, -6
Sort 1/6, -0.29, 3/2, 0 in ascending order.
-0.29, 0, 1/6, 3/2
Sort 5/4, 0.3, 0.4, -1 in ascending order.
-1, 0.3, 0.4, 5/4
Sort -5, 2/9, -0.082 in increasing order.
-5, -0.082, 2/9
Put -4, 4, 1, 5.1 in descending order.
5.1, 4, 1, -4
Sort 2, -5, 5, 1, -10 in descending order.
5, 2, 1, -5, -10
Sort 24/187, -2/3, 1 in decreasing order.
1, 24/187, -2/3
Put 6, 44, -1 in decreasing order.
44, 6, -1
Put -30, 3, 0, -16 in ascending order.
-30, -16, 0, 3
Put -6, -1, -2, 4 in decreasing order.
4, -1, -2, -6
Sort 0.5, -7, -3, -5, 0 in ascending order.
-7, -5, -3, 0, 0.5
Sort 2, -196, -4, -1 in descending order.
2, -1, -4, -196
Sort 9, 22, 2.
2, 9, 22
Put 21, -9, 2, 1, -1 in increasi | {
"pile_set_name": "DM Mathematics"
} |
+ 87*l = 88*l + 14 for q.
-4
Solve 12*q - 3*k - 6 = 17*q, 10 = -5*k for q.
0
Solve -r - 12 = 0, 165*v - 162*v - r - 6 = 0 for v.
-2
Solve 3*j = p - 12 + 1, 3 = -j for p.
2
Solve 4*v - 40 = -3*f, -5*v + 4*f - 1893 + 1943 = 0 for v.
10
Solve 5*v - 5*b - 15128 = -15098, 4*v - 24 = 6*b for v.
6
Solve -4232*u = -4*c - 4233*u + 2, u = 2 for c.
0
Solve -30 = 4*f - 2*x, 3*f - 5*x + 2 + 10 = 0 for f.
-9
Solve r = 2*d + 5, 5*d = 169*r - 173*r - 19 for d.
-3
Solve 5*c - 49 = 2*w, -w - 138 = c - 145 for c.
9
Solve 11*z + 11 = 0, d + 0*d - z = -28 + 31 for d.
2
Solve 3*s - 46 = 4*r - 71, -r + s + 6 = 0 for r.
7
Solve -w + 23 = -4*v, -35*w = -38*w + 4*v + 13 for w.
-5
Solve -1245*q + 1247*q - 6 = 4*y, 5*q + 4*y + 13 = 0 for q.
-1
Solve -5727*s + 5*f + 53 = -5726*s, 2*s - 2*f = 26 for s.
3
Solve -3*a - 5*f - 240 = -243, 0 = a - 3*f + 13 for a.
-4
Solve 11 = -y + k, 627*y + 35 = 622*y + k for y.
-6
Solve -26 = -4*q - 62*b + 64*b, 5*q - 4 = 12*b for q.
8
Solve -3*c + 5*j + 3 = 0, j = c + 37 - 38 for c.
1
Solve 0 = 5*n - 18 + 3, 0 = 5*d + 14*n - 2 - 5 for d.
-7
Solve 4*t = -5*z + 8*t + 4, 3*z - 5*t + 8 = 0 for z.
4
Solve -3*t + 391 = 442, 3*t + 26 = -5*c for c.
5
Solve 26 = u + 4*y, 37*u + 5*y = 41*u + 43 for u.
-2
Solve -g + 3840*q = 3835*q - 10, 0 = -7*g - 2*q + 33 for g.
5
Solve 5*s + 20 = 3*r, 37*r = 38*r + 15*s + 10 for r.
5
Solve 4*y - 29 = n, 3*y = 558*n - 563*n + 39 for n.
3
Solve -46*d + 23 = -48*d - c, 3*c = 5*d + 63 for d.
-12
Solve 151*w - 10 = 3*h + 146*w, -5*w = -h - 10 for h.
0
Solve 324*m + 4 = 322*m - 3*s, 24 = m - 5*s for m.
4
Solve 3*l + 2*r = 1, 5*r + 46 = -2*l + 43 for l.
1
Solve 24 = -131*v + 128*v - 3*i, 5*v - i + 4 = 0 for v.
-2
Solve 4*x = c + 126 - 101, c + 55 = 10*x for x.
5
Solve 2*t - 5 = i, 3*t + 580*i - 584*i - 5 = 0 for t.
3
Solve 2417*h + 19 = 2418*h + 5*q, -4*h - 3*q - 9 = 0 for h.
-6
Solve -10 = -5*s - 5*x, 32*s - 36*s - x = -11 for s.
3
Solve 2*r - 16 = s, 398*r - 395*r - 6*s - 33 = 0 for r.
7
Solve o - 243 = 5*m - 212, -m + 13 = -5*o for m.
-7
Solve 2*o = 3*a + 13, -4043*a - 2*o + 10 = -4045*a for a.
-3
Solve 0 = -2*c - q + 8, -117*q + 116*q + 3 = -3*c for c.
1
Solve 5 = -4*f - 5*a, 3 = 2*f + 36112*a - 36115*a for f.
0
Solve -j = -3*s - 10, -4*j + 2040*s + 8 = 2044*s for j.
4
Solve -11 = -b + 6*g, 18*g = 4*b + 13*g - 25 for b.
5
Solve 0 = -4*q - 2*w + 6, 572 - 560 = q - 3*w for q.
3
Solve 0 = 2*n + 2*v + 16, -59 + 33 = 3*n + 4*v for n.
-6
Solve -5*z = y - 23, -3*y - 577 + 566 = -5*z for z.
4
Solve 4*r + 42 = -5*j, -2*r - 5*j + 35 = 61 for r.
-8
Solve -5*h + 24*z - 27*z = -19, -3*h = 2*z - 12 for h.
2
Solve 0 = h, 0*i + 2 = 5*i - 4*i + 5*h for i.
2
Solve -4*y + 4*h + 8 = 0, -36373*y = -36375*y - 3*h - 11 for y.
-1
Solve -47*y + 52*y - 825 = -27*a, 4*a - 105 = 5*y for y.
3
Solve -3*d + 4*j - 14 = 0, 85*d - 60*d + 2*j = -46 for d.
-2
Solve -3*v - 36 + 27 = -3*d, -3*v - 17 = d for v.
-5
Solve -7 = -a, -64*a + 61*a + 7 = 4*g + 10*g for g.
-1
Solve 13*p + f = 14*p - 10, 4*p = 2*f + 28 for p.
4
Solve 3*j = 5*w - 19 + 13, 2*j - w = -4 for j.
-2
Solve 4*w = -t - 14, 121*t + 18 = -4*w + 118*t for w.
-3
Solve 2*b - 12 = -4*l, 11*b = 7*b + 2*l + 14 for b.
4
Solve 1010*s = q + 1009*s - 3, 2*s - 50 = -12*q for q.
4
Solve 0 = -10*w - 2*k - 8, -2869*k - 8 = w - 2868*k for w.
1
Solve 0 = -d + 4*f - 4, -3*d + 8*d + 20 = 3*f for d.
-4
Solve -4*j = 2*l - 4, 57*l = 5*j + 60*l - 8 for j.
-2
Solve -5*y - 19*h - 29 = 0, 11*y - 12*y - 2*h - 4 = 0 for y.
-2
Solve v + 7*b = 5*b + 2, -b - 17 = 5*v for v.
-4
Solve -2501*d = -2498*d + 5*g - 14, -4*d = -4*g - 8 for d.
3
Solve 38*t = 37*t - 6*g - 19, 0 = -4*t + g - 1 for t.
-1
Solve 337*r - 332*r - 3*m = -24, 2*m = 2*r + 8 for r.
-6
Solve 5*p - 4*g + 1372 = 1385, -3*g + 14 = p for p.
5
Solve 9*a = -5*z + 3*a + 32, -4*z + 18 = a for z.
4
Solve -10*a = n + 27 - 94 - 41, 0 = 3*n + 3*a - 27 for n.
-2
Solve -2*s - 2*r = -10, -104*r + 15 = 3*s - 102*r for s.
5
Solve -4*t - 60 = -5*r, 3*t - 4*r - 93 + 140 = 0 for t.
-5
Solve -j - 8 = -4*l, -2*l + 4*j = 896 - 886 for l.
3
Solve -2*d - 4*m + 10 = 0, 57*d = 49*d - 5*m + 40 for d.
5
Solve 2*l = 42*u - 40*u + 6, 4*l = -3*u - 2 for u.
-2
Solve y = -3*m - 11, 8281 = 2*m - 5*y + 8294 for m.
-4
Solve -5*q + d + 8 = 0, 7901*d - 7904*d + 15 = -2*q for q.
3
Solve 25*f = 22*f + 5*b + 22, -b = -9*f - 4 for f.
-1
Solve -9*k - 458 = -3*b - 386, 3*k - 30 = -5*b for b.
9
Solve 2*c = -2*q + 12, 0 = 55*q - 54*q - 9*c + 54 for q.
0
Solve -g - 5*z = 59, 390*z - 393*z - 41 = 2*g for g.
-4
Solve q + 1 = -p, 14517*q - 14521*q = p - 14 for q.
5
Solve 0 = -5*m + 3*l + 4, 0 = -917*m + 912*m + 5*l for m.
2
Solve 8 = -3*b + 2*c, 10646*c + 8 = -2*b + 10650*c for b.
-2
Solve -4*q + 908 = 904, 2*q - 2 = -10*n for n.
0
Solve -9 = -u - 2*b, -b - 26 + 31 = 0 for u.
-1
Solve -3*s - 56 = -2*h - 55, -h = -3*s + 7 for s.
5
Solve 15 + 24 = -5*i + 2*v, 26*v - 24 = 24*v for i.
-3
Solve 2*z + 8 = -3*d, 0 = -2*d + 261*z - 259*z - 22 for d.
-6
Solve 0 = 5*i - 4*b - 20, -26*b - 4 = -i - 28*b for i.
4
Solve 3*v + 3 = 2*d, 800*v = 802*v - 4*d + 10 for v.
1
Solve -26 = -122*t + 125*t + 4*b, -15 = 5*t + b for t.
-2
Solve -4*i = w + 70, -667*i + 664*i - 57 = 3*w for w.
-2
Solve 4*v + 10*x = 11*x - 7, -v = 4*x + 6 for v.
-2
Solve 11*c + 3*t = -3*c + 11*c, c = 2*t + 6 for c.
2
Solve -2*j - 3*q + 4857 = 4849, 4*j + 2*q - 16 = 0 for j.
4
Solve 6 = -m + z, -29 = 5*m - 1127*z + 1123*z for m.
-5
Solve 67*i - 69*i - 2*m - 2 = 0, 4*i + 5*m + 4 = 0 for i.
-1
Solve 2*q = -4*d + 640 - 650, 0 = 4*q + 5*d + 8 for q.
3
Solve 6 = 3*p - m, -1 = -9*p + 11*p + m for p.
1
Solve -l = 134 - 128, 5*h = 2*l + 32 for h.
4
Solve 5*b + 28 = 2*j + 19, 8 = 2*j - 4*b for j.
2
Solve 1717*o + 17 = 1713*o + j, -4*o = 4*j - 8 for o.
-3
Solve 4*a + 12 = 7*b, -4*b + 3 = -5*a + 7 for b.
4
Solve 5*z + w - 6*w + 15 = 0, 0 = -5*z + 4*w - 11 for z.
1
Solve -3*l - 1 - 7 = -y, -3*y - 4*l - 28 = 0 for y.
-4
Solve 48*x = 5*a + 49*x + 30, -5*a = -10*x + 85 for a.
-7
Solve x - 10 = 5*c, x + 575*c = 579*c + 9 for x.
5
Solve -17*t + 20*t + 3*y - 3 = 0, -2*t + 5*y = 19 for t.
-2
Solve 13 = -c - 5*s, -193*s - 9 = -198*s - 24 for c.
2
Solve 2*l = 5*i + 4, -24 = -12*l + 688*i - 685*i for l.
2
Solve 0 = 2*o - s - 7, 13 = 4*o + 91*s - 94*s for o.
4
Solve 5*b + 145*y = 148*y + 24, 2*b = y + 10 for b.
6
Solve 2*a + 2*s + 5*s = -3*s + 14*s + 6, 3 = -3*s for a.
1
Solve 3*g - 5*o = 7, -835*g = -836*g + o + 3 for g.
4
Solve -k = u, -7*u + 0*u + 421*k - 419*k + 18 = 0 for u.
2
Solve -3*c + 0*c = -3*m - 3, 4*m - 14 = -6805*c + 6806*c for m.
5
Solve -5*g = -5*n, 67*n + 62*n + 5*g = 126*n - 8 for n.
-1
Solve o + 4900*k - 4904*k = -18, -k - 5 = -5*o for o.
2
Solve 18 = -5*t + 8*x - 4*x, -2*t + 3*x = 10 for t.
-2
Solve 3*u + 6 = -4*d, -3*u - d - 10 = 2*u for u.
-2
Solve 0 = 3*t + 7383*k - 7382*k - 11, 18 = 2*t - 2*k for t.
5
Solve -2*r + c + c = -2, 2*r - 4*c = 2 for r.
1
Solve 4*z - 5*b + 21 - 11 = 0, -b - 2 = 0 for z.
-5
Solve 3*a - 3 = -3*x, 5*x + 193*a = 190*a - 5 for x.
-4
Solve -5*j + 2*o = -16, 2*j = 431*o - 438*o + 22 for j.
4
Solve -4*b - 3*q = -17, 11142*b - 4*q = 11146*b - 20 for b.
2
Solve -4*x - 18 - 20 = -2*f, 0 = 3*f - 5*x - 58 for f.
21
Solve -4*x + 3*t = -28, x + 2*t = 22 - 26 for x.
4
Solve -5 = 3*c - 3*o + 52, 4*o = 5*c + 73 for c.
3
Solve -2132 = -3*g + 4*a - 2131, -3*g = 2*a + 23 for g.
-5
Solve 20 = y + 5*l, -51*l + 40 = -6*y - 49*l for y.
-5
Solve -5*z + 4*b - 16 = -7*z, -1 = z - b for z.
2
Solve -2269*d + 2265*d - 32 = -5*x, 0 = -x + 4*d + 16 for x.
4
Solve -162*m - x = -158*m - 41, 4*x - 1 = 3*x for m.
10
Solve 960*s - 7*o = 965*s - 22, 2*o = 2 for s.
3
Solve -5*q - 715*k = -717*k - 84, 2*k = -q + 24 for q.
18
Solve 2*d + 6*w = 14, w - 5*w - 4 = -2*d for d.
4
Solve 42 = -5*v + 2*b, 4297*v - 4294*v - 43 = -5*b for v.
-4
Solve 40 = -5*r + 5*p, 31 = -12322*r + 12326*r + 5*p for r.
-1
Solve 0 = 2*a + 2*s - 8, -4*a - 2*a + 24 = -2*s for a.
4
Solve -8*c - 3 = r, 16*r = 11*r - 95 for c.
2
Solve -48*v + 51*v - 4*n + 23 = 0, -v = -5*n + 26 for v.
-1
Solve 0 = -5*p + 2*g + 10, -4*p - 2*g = -161 + 153 for p.
2
Solve 4*g - 582 = -29*a - 421, -3*a + 19 = g for g.
4
Solve -3*a = -0*a + 9, -5*z + 5*a + 160 = 165 for z.
-4
Solve 0 = -4*k - 3*g + 7, 1199*g + 9 = 4*k + 1204*g for k.
1
Solve -z + 674*q = 677*q - 17, 11 = 3*z + q for z.
2
Solve -16*d - 2*m + 12 = -14*d, | {
"pile_set_name": "DM Mathematics"
} |
3, k
Let x = 581 - 598. Suppose -5*g = 6 + 9. Sort g, 1, x, -5 in ascending order.
x, -5, g, 1
Let k = 0.3 + 1.8. Let q = k + -13.1. Sort 3, q, 0.1 in increasing order.
q, 0.1, 3
Let w = -2.2 + -8.8. Let y = w - -10. Suppose -4*j - 9 = -j. Sort 5, y, j in increasing order.
j, y, 5
Let g = 113761/1218 - 654/7. Let q = -4/29 + g. Sort -12, q, 0.5.
-12, q, 0.5
Let o be (-1)/3 + (-1)/(-3). Suppose 0 = -2*w + 2*j + 370, -943 = -4*w - w - 4*j. Let x be (-209)/w + (2 - 1). Sort o, x, -5/3.
-5/3, x, o
Suppose -17 = -4*u + 15. Suppose -u*c - 8 = -12*c. Let k = -6 + 7. Put k, -4/11, c in ascending order.
-4/11, k, c
Let j(c) = 3*c**2 - 94*c + 32. Let f be j(31). Suppose 4*x - 3*m + 17 = -15, -5*x + m = 29. Let l = 3 - 5. Sort f, l, x in descending order.
f, l, x
Let f = 0.2 + -0.4. Let y = 0.3 - f. Let m = -186 + 191. Sort 2/11, m, y.
2/11, y, m
Let b = -382/99 + 40/11. Let m = -3/7448 + 467/3724. Sort m, b, 0.4 in descending order.
0.4, m, b
Let a(y) = -y**2 + 9*y - 7. Let r be a(8). Suppose -48 = -198*b + 195*b. Sort r, b, -5.
-5, r, b
Let h = 12.52 + -14.52. Let n = -3 - -4. Let x be 4 - (n - -1)/1. Put -1/17, h, x in decreasing order.
x, -1/17, h
Suppose -3*x = 22 - 19. Let r = -3/31 + -146/93. Sort 1, x, r.
r, x, 1
Let x = 2730 - 2725. Sort x, 0, 938.
0, x, 938
Suppose 5*v - 8 = 4*p + 8, -5*v - 47 = 3*p. Sort 0, p, -10 in decreasing order.
0, p, -10
Let b = 0.1 - 0.3. Sort b, -5, -46.
-46, -5, b
Let d(p) = -p**3 + 4*p**2 + 12*p + 4. Let b be d(-2). Put 0, 3, b, -5 in increasing order.
-5, 0, 3, b
Let h be 1/(-3)*(-30 - 3). Let m be 2/h - 625/(-132). Let p = -14/3 + m. Put p, -5, 1 in ascending order.
-5, p, 1
Let h = 0.21 + -0.08. Let b = -0.24 + h. Let f = -0.31 - b. Put 3/4, f, 3 in descending order.
3, 3/4, f
Let r = 90.9156 - -0.0844. Sort 1, -4, r in decreasing order.
r, 1, -4
Suppose 0*x + 3*j - 11 = 2*x, -4*x = j - 13. Let m = -1 + -3. Suppose 6 = 4*o - 7*o. Sort x, o, m in increasing order.
m, o, x
Let p = -2 - -3. Let x = -0.8 + p. Let w = -488/7 + 70. Put x, w, 1/4 in decreasing order.
w, 1/4, x
Suppose 7*r - 273 = -196. Sort r, 2/7, -2.
-2, 2/7, r
Let r = 3 + -6. Let p = 227 + -227.4. Let t = 0.2 - -0.1. Sort r, t, p in ascending order.
r, p, t
Suppose -3*n = -96 - 12. Let q = 39 - n. Let y be ((-12)/15)/((-4)/10). Sort y, q, 5.
y, q, 5
Let u be (2 + -1*1)/7. Let c = -1.251 + 5.251. Sort u, c, -0.3 in decreasing order.
c, u, -0.3
Let m = -0.6 - -1. Let h = 83.68 + -86.68. Sort m, -1, h.
h, -1, m
Suppose g = 2*q - 58, 2*g + 0*g + q + 96 = 0. Let y be 5/g - 2/(-4). Sort 1/5, 5, y in decreasing order.
5, y, 1/5
Suppose 48 = -94*l + 82*l. Let q = 5 - 0. Put l, q, 0.3, -5 in descending order.
q, 0.3, l, -5
Suppose -2*f = -4*l - 20, -2*f - f + 27 = -5*l. Suppose -2 = x - 2*x - o, -2*o = -x - 1. Let m = x + -3. Put m, l, 1 in descending order.
1, m, l
Let h = -967 + 970. Let m be ((-8)/(-10))/((-6)/30). Sort h, m, -3 in decreasing order.
h, -3, m
Let u be ((-3)/(-5))/((-132)/(-55) - 4). Sort -11, -4, u in descending order.
u, -4, -11
Suppose 54 = -16*t + 22. Put 5, -3, t in ascending order.
-3, t, 5
Let s = -37 - -66. Let g = 28 - s. Sort -1/2, g, 4/5 in increasing order.
g, -1/2, 4/5
Suppose 12*t = t + 33. Sort 10, 2, t, -1 in decreasing order.
10, t, 2, -1
Let n(s) = s**3 + 5*s**2 - 6*s - 5. Let a be n(-6). Suppose 5*f + 45 = 5*i, 42 = 4*i - 3*f + 10. Suppose -i + 2 = -d. Sort d, 2, a in ascending order.
a, 2, d
Suppose 75*b + 105 = 40*b. Sort -6, -5, b, 1 in decreasing order.
1, b, -5, -6
Suppose -144*f + 66*f = -65*f + 13. Let g = -3 - -2.3. Sort f, -0.2, g, 2/7 in ascending order.
f, g, -0.2, 2/7
Suppose 0 = -6*x + 14*x + 616. Sort x, 0, -1 in decreasing order.
0, -1, x
Let d = 4.0273 + -0.0273. Put d, 6, 1/2, -3/10 in ascending order.
-3/10, 1/2, d, 6
Suppose -4*s + 7*g - 28 = 3*g, -5*g = -5. Sort -5, -4, s in ascending order.
s, -5, -4
Let p be -2*(1 + -1 + 1). Let a(d) = -7*d + 51. Let b be a(7). Put 5, p, b in descending order.
5, b, p
Suppose -3*j + 17 = 2*q, 2*j - 1 = 1. Let d = -6 + q. Suppose -3*c - 6 = 4*p, 5*p + 3 = -c + d. Sort -0.2, -2/7, c in descending order.
-0.2, -2/7, c
Let a = 15952151/220 - 72510. Let t = a - -1/44. Let f be (-6)/4*(-4)/10. Sort f, 1, t.
t, f, 1
Let t(m) = m**2 - 4*m - 6. Let d be t(5). Let h = -1.829 + 1.429. Put 2, d, 4/5, h in increasing order.
d, h, 4/5, 2
Suppose -645*r - 576 = -633*r. Sort -11, r, -3.
r, -11, -3
Let b = -5 - -2. Suppose -w + 3*z = 3*w + 5, -4*w + z = -1. Let k be 3/(32/20 - w). Put b, -2, k in increasing order.
b, -2, k
Let o be 6/(-2) - 10 - -1. Let b = 322 + -320. Sort b, -2, o, 3 in increasing order.
o, -2, b, 3
Let n = 27 - 23. Let q be (-8)/((-6)/3) - 2. Suppose -2*s = -q + 18. Sort s, -4, n in decreasing order.
n, -4, s
Let j(p) = -77*p**2 + p - 1. Let v be j(1). Let a be 37/v - 12/(-21). Put 0, a, 3 in descending order.
3, a, 0
Let q(m) = m**3 - 3*m**2 + m + 4. Let n be q(4). Suppose 0 = 2*j + 3*s + 5 - n, s - 9 = -2*j. Suppose 0*u + 10 = j*u. Sort u, 7, -5.
-5, u, 7
Let j be (-7)/12*-2 - 2. Let f(r) = r**3 - 3*r**2 + 3*r - 2. Let q be f(2). Put 1, j, q in increasing order.
j, q, 1
Let d(t) = -t**2 + 11*t - 4. Let k be d(11). Suppose -2*z = -z - 5*q - 17, 2*z + 3*q = -5. Sort 8, k, z.
k, z, 8
Let t(z) = 6*z**2 - 1. Let j be t(-2). Let i = j + -24. Sort 5, -1/4, i in ascending order.
i, -1/4, 5
Let m = 247 + -250. Sort 5, -8, m, 4.
-8, m, 4, 5
Let s(b) = -43*b**2. Let p be s(-1). Let n = -37 - p. Put n, -5, 1 in ascending order.
-5, 1, n
Let z = -1096 - -13159/12. Let m = -1/12 + z. Sort 1/4, -2/7, m.
-2/7, 1/4, m
Let v(z) = 5*z + 7. Let i be v(-2). Let b be 25/15 - i/9. Put -3, 1, b, 4 in decreasing order.
4, b, 1, -3
Suppose 4*m + 346 = 5*d, 60 + 291 = 5*d + m. Suppose 5*u - 3*u - d = 0. Sort 2, 2/5, u in descending order.
u, 2, 2/5
Let d = 315 - 312. Suppose -84 = 2*g + 2*g. Let f = g + 14. Sort 2, d, f in decreasing order.
d, 2, f
Let i = -152.66 + 3.06. Let z = 150 + i. Let a = -0.9 + -0.1. Sort a, z, 0.3 in ascending order.
a, 0.3, z
Let l = 0 + -1.1. Let r = l + 1. Let m = 0.5 + 0. Sort m, 1, r in descending order.
1, m, r
Suppose 3*f + 2*i = 0, -4*f - 2*i - 9 + 11 = 0. Sort 12, 3, f in decreasing order.
12, 3, f
Let y = -4.42 + 5.42. Let i = -3.4 - -4. Let t = i + -0.68. Put 2/9, y, t in descending order.
y, 2/9, t
Let z = -0.8 + -0.2. Let i = 963.5 + -963. Sort z, -2/15, i in descending order.
i, -2/15, z
Suppose 33 = 5*z - 52. Suppose -3*n + 18 = 4*v - 12, z = n - v. Let t = -15 + n. Put -3, 4, t in increasing order.
-3, t, 4
Suppose -5*i + 14 - 4 = 0. Let u be (-4*(-22)/4)/i. Let c = 16 + -20. Sort -3, c, u in descending order.
u, -3, c
Suppose 2*x - 2 = 3*x. Sort x, 2, 32 in descending order.
32, 2, x
Let u be (-72)/(-192) - (-42)/16. Let w = 0.4 - 0.38. Sort -4, u, w in decreasing order.
u, w, -4
Suppose 2*u - 5 - 3 = 0. Suppose -138 = -23*w + 69*w. Sort u, -7, 5, w.
-7, w, u, 5
Let x = 97 - 247. Let q = -598456/7 - -85344. Let m = q - x. Put m, -0.4, -0.2 in increasing order.
-0.4, -0.2, m
Suppose 213*n = 158*n + 220. Put 0, n, -57 in ascending order.
-57, 0, n
Let j be (78/30 - 3) + (-34)/(-10). Suppose -4*n - 3*y + 17 = 0, -11 = -4*n + 2*y + 11. Put j, 0, n in decreasing order.
n, j, 0
Let q = 108.1 + -171. Let z = q - -63. Sort 0.2, -6, -1, z.
-6, -1, z, 0.2
Let z = 2.3 + -3.3. Suppose 0 = -q - 4*q - 2*l + 29, -15 = -q - 5*l. Let o = q - 5. Put -0.07, z, o in increasing order.
z, -0.07, o
Let g(j) = j**2 + 13*j + 124. Let w be g(-10). Sort w, 2, -3.
-3, 2, w
Let s = 66 - 40. Let j = s - 28. Sort j, -5, -4 in increasing order.
-5, -4, j
Let w(b) = 4*b**3 + b. Let s be w(1). Suppose l = s*l - 4*j - 68, -l + 8 = 2*j. Let v be (5 - l) + 1*4. Sort v, -2, -4 in decreasing order.
-2, -4, v
Let t = -365 - -368. Let n be -3 + (-4)/((-8)/(-34)). Put t, n, -5 in descending order.
t, -5, n
Suppose k + 15 = -4*k, -4*m + 3*k = -137. Let j be -24*(m/(-12))/(-4). Let x = j - -14. Sort x, 0, 1 in decreasing order.
1, 0, x
Let k = -80 + 65. Let w = k - -15. Let c = -11/20 - -3/4. Sort c, -3, w in descending order.
c, w, -3
Let q = -605/2682 - -1/298. Let z = 0.7 + -1.2. Sort q, -1/7, z.
z, q, -1/7
Let s be (1/2)/(1/(-2)). Suppose -2*j - 6 = 4*k - 9*k, -j + 2 = 0. Sort s, -4, k in ascending order.
-4, s, k
Let i be (3/(-13))/(6/(-2648)). Let k = i + -102. Let r = 102.7 + - | {
"pile_set_name": "DM Mathematics"
} |
+ 62. Let k be d(-14). Let m = -113 - k. Which is smaller: 13 or m?
m
Let y be (161/21 - 3)/((-7140)/693). Which is smaller: 0 or y?
y
Let b be (22/88)/(12/208*-1). Is -201 at least as big as b?
False
Let c = -171 - -321. Let w = c + -165. Is w greater than -13?
False
Let f = 6286 + -18845/3. Are 0.3 and f equal?
False
Suppose 6*w = 17*w - 1100. Let a(u) = 80*u + 7 - w*u - 1. Let y be a(-1). Which is smaller: y or 24?
24
Let r = 5251/1396 - 4/349. Let m = -8 - -13. Which is smaller: m or r?
r
Let k be 15/((-75)/320) - 14. Is -57 less than k?
False
Suppose -6*a + 2*a = -2*f - 252, 4*a - 252 = -2*f. Let c be ((-6)/a)/(-1*(-7)/(-861)). Are c and 13 non-equal?
True
Suppose -4015 = s - 9*y, y + 6232 + 10087 = -4*s. Which is smaller: -4081 or s?
-4081
Let y be (-2*(-6)/24)/((-15)/62). Let p = y - -8417/4080. Which is bigger: -1 or p?
p
Suppose -11194 - 7396 = -125*g - 4590. Which is bigger: g or 106?
g
Let j(w) = -w**3 - 41*w**2 + w + 41. Let z be j(-41). Which is bigger: z or 96/151?
96/151
Let c(n) = n**2 - 21*n + 101. Let l be c(13). Is -35/11 not equal to l?
True
Let p = -3008/9 - -335. Let x(s) = s**2 - 2*s - 62. Let q be x(9). Which is greater: q or p?
q
Let m be (-5 - -2)*((-23)/3 - -2). Let r = -9 + m. Suppose -4*l - 2*g = r, -5*l - 13 = -0*g + 4*g. Which is greater: l or -0.02?
-0.02
Let j be (2/4*(-3 + 1))/((-4285)/10965315). Do 2556 and j have the same value?
False
Let d = -160736 + 160868. Let m = 0.1 - 0. Is m <= d?
True
Let m = 3366 - 3366. Which is greater: -11/41 or m?
m
Let k = -3884 - -3928. Is 53 at most as big as k?
False
Suppose -w = -3*w + 100. Let l = -0.11274 + 0.21274. Are l and w unequal?
True
Let r = 11 + 59. Let f = r - 69. Suppose -20 = -5*c + 7*c. Which is bigger: c or f?
f
Let b = -701 - -700. Let h(s) = -146*s**2 - 2*s + 2. Let p be h(b). Is -146 at least as big as p?
False
Let a be (-268)/3224 + (-37)/1147. Is -461 >= a?
False
Let x = 2905 + -3266. Is 2/9 > x?
True
Let s be (0 - -9) + 2 + 3 + -8. Suppose 0 = 2*v + 8, -s*v + 4*v = -2*r + 56. Let c = r + -41. Is c less than -17?
False
Let o be ((-23320)/(-132))/(14/(-21)). Does o = -258?
False
Suppose 0 = 3*t - 1 - 8. Let v be (2 - 4)/(-2) - (2 - t). Let n = v + 3. Is 5 <= n?
True
Let f = -166 - -278. Let z be 94/10*(-1 + f/12). Let o = 78 - z. Which is smaller: o or 2.3?
o
Let p(k) = 2*k**3 - 306*k**2 + 304*k - 295. Let s be p(152). Is -274 <= s?
False
Let k = 901/87 - -38/29. Let r be (-172)/(-24) - (51 - 44). Is k at least r?
True
Suppose -6 + 3 = -s. Let c(j) = j**2 - 7*j + 19. Let i be c(s). Let v be ((-77)/(-55))/(-1 + (-12)/(-10)). Is v smaller than i?
False
Let b = -1615 + 1618. Do b and -337 have different values?
True
Let l be (-99)/(-15) + -12 + 7. Let j = 12 + -11. Is l < j?
False
Suppose 0 = -8*x - 3*x + 154. Let j be 2/x - 528/(-77). Suppose -6*z - 35 = j. Is z less than -8?
False
Let q be 9/(-6)*2*1. Let t be -7 - ((-87)/58)/((-9)/66). Which is smaller: q or t?
t
Let r be (0 - (-3 + 2))/1. Let k be 5906*r/(-4434) - (1 + 2). Let c = 1/739 - k. Is 4 equal to c?
False
Let x = 83 - 79. Suppose -2*d + 9 = 2*t + 3, 0 = -2*t + x*d. Suppose -5*w + 10 = -0*w, t*n = w + 12. Which is smaller: -3 or n?
-3
Let b = 9461 + -12752. Is 0.1 at most b?
False
Let w be (-222)/(-15)*-32 - (-3 + -5)/(-40). Do w and -473 have the same value?
False
Suppose -5*k + k = -2*v - 234, 4*v = -4*k - 468. Let n = v + 1523/13. Which is greater: n or -0.1?
n
Let d = -88 + 110. Let s(r) = -r**2 + 2*r + 9. Let n be s(6). Let v be ((-12)/n)/(6/165). Is v at least d?
True
Let r(t) = 6*t**2 + 42*t + 176. Let a be r(-5). Is a > 18?
True
Let j = 2958 - 2957. Does j = -3/1094?
False
Let f(d) = 4*d + 83. Let z be f(-20). Suppose -11 = -n + z. Let w(b) = -3*b + 9. Let y be w(0). Is y greater than or equal to n?
False
Let t be (-3)/(-6)*(260/(-50) + 6). Which is smaller: -195 or t?
-195
Let n = -6869 - -8023. Is n at least 1150?
True
Let g(x) = -x + 22. Let j be g(7). Let r(v) = -4*v - 7. Let w be r(-6). Let q = j - w. Do -5/6 and q have the same value?
False
Let l(u) = 44*u - 2189. Let t be l(11). Is -1703 less than or equal to t?
False
Let h be 2 + 4922/(-2652) - ((-350)/60)/(-35). Which is bigger: -0.2 or h?
h
Let o = -1 + 0. Let j be (93/6)/((0 + o)/2). Let c = j - -31. Which is bigger: c or -8/13?
c
Let a(z) = 4 + 3 + 225*z - 223*z. Let p be a(-4). Which is greater: -1/11 or p?
-1/11
Let i be -2 + -1 + (-44)/(-6). Let a(l) = -5*l + 60. Let r be a(-13). Let o = 130 - r. Is i at least as big as o?
False
Let s = -6212 + 6213. Is 299 at most as big as s?
False
Let h be (-3012)/(-45) - ((-8)/3 + 2). Let t(l) = 87*l - 18. Let a be t(1). Is a less than h?
False
Let j = 1196 + -1203. Let q(p) be the first derivative of p**2/2 + 5*p + 1. Let f be q(j). Which is smaller: f or 8?
f
Let v = 2605 - 575707/221. Which is smaller: v or 17?
v
Let w = 11267.2 - 8.2. Is -1/2 >= w?
False
Suppose 2*w - 210 = 4*c, -3*w + 2*c + 336 = 3*c. Which is smaller: w or 105?
105
Let z be 52/(-28) + (-24)/21 + 1. Suppose -2*k + 4*u - u = -14, 3*k + 4*u - 4 = 0. Suppose 5*w + k = 14. Is z < w?
True
Let b be (-714)/3806 - (4 - (-184)/(-44)). Let c = b + -3283/692. Is 1 bigger than c?
True
Let x = -11666/5 - -2333. Which is greater: x or -3508?
x
Let y(u) = -u**3 - 5*u**2 - 6*u + 6. Let a be y(-6). Suppose 2*x - 166 = -2*n, -3*n = 3*x + 2*n - 259. Is a at least as big as x?
True
Let z(f) = f**3 + 4*f**2 - 8*f - 9. Let i be z(-5). Let v be ((-18)/60)/((-12)/190). Which is greater: v or i?
i
Let c be (8 + -3)/30 + (-119281)/42. Let i = c + 2834. Is -7 at least as big as i?
False
Let u = -404080/27 + 14966. Let c(z) = 4 - z - 1 + 1. Let o be c(3). Are u and o unequal?
True
Let m = -4972 + 4973. Let t = -12245/84212 - -21/148. Is t greater than m?
False
Suppose -30*b = -38*b - 528. Let m be 16*(4/16)/(3/b). Which is smaller: -260/3 or m?
m
Let j = 0.14211 + -0.11211. Which is smaller: 34/121 or j?
j
Let s = -25 + 22. Let a be (s/(-7))/((-9)/(-222)). Does a = 11?
False
Suppose -4*w - 2*n - 56 = -92, 3*w + 4*n = 42. Which is smaller: 17 or w?
w
Let g = -163 + 150. Let y(h) = -17*h - 199. Let x be y(-12). Which is smaller: g or x?
g
Let f = -116.71 + -0.29. Let n = f - -212. Let j = n + -94.4. Which is smaller: 0.2 or j?
0.2
Let g = 1204 - 847. Is g smaller than 358?
True
Let o = 113.88 - -80.12. Which is smaller: 0.04 or o?
0.04
Let g be (89 - 84)*(1278/5 + -3). Is g at least 1263?
True
Let t = 1/15094 - -29717/7109274. Which is smaller: t or 2/87?
t
Let b = 0.696 + -0.6884. Let x = 0.3924 + b. Let t = -223/35 + 39/7. Which is smaller: x or t?
t
Let l be (-35 + -1)*(-63)/(-84). Let x = l - -67. Let b be (2/x)/((-40)/(-100)). Which is smaller: b or 0?
0
Let n be ((-8)/10 + (-21)/(-20))*0. Is n at least 9/5330?
False
Let j = -231 - -124. Let r = j - -40. Let w = -68 - r. Is 2/31 at least as big as w?
True
Suppose 0*y = -4*g + 2*y - 22, -3*y = -g - 13. Let q = g - 9. Let r be ((-585)/(-39))/((-2)/(-2 - -4)). Is q at most as big as r?
False
Let w(s) = -502*s**3 - 10*s**2 - 1. Let h be w(2). Is h smaller than -4057?
False
Suppose 45 = 5*o - 5*y, -3*o + 35 = 4*y - 5*y. Let r = 64 + o. Suppose 0 = h + 6*h + r. Which is smaller: -10 or h?
h
Suppose -2 + 42 = k. Suppose -d - k = 2*c + 80, -365 = 3*d + 5*c. Which is smaller: d or -129?
d
Let n be (3/3 - 3) + -25. Let a(x) = -4*x. Let b be (-30 - -23)/(-2 - -1). Let v be a(b). Is v >= n?
False
Let f be 3/(-9)*(-9)/(-24). Let i = 11808 - 11795. Which is greater: f or i?
i
Let g = 57519 - 3163671/55. Is g >= 1?
False
Let d = -6570 - -6569. Suppose -j + 102 = 611. Is j not equal to d?
True
Let n(z) = 9*z + 4. Let x be n(1). Suppose -j + c = -3*c + 2, -5*j = 2*c - 34. Let q = j - -8. Which is smaller: x or q?
x
Let p(b) = -2*b**2 - 6*b + 5. Let f be p(-4). Let j = -38.36 + 38. Let r = j + 0.38. Do f and r have different values?
True
Suppose 19*t - 747 = 2350. Which is greater: t or 167?
167
Suppose -376 = -17*i + 100. Let w be 8/i - 76*(-3)/(-1974). Which is smaller: -1 or w?
-1
Suppose 5*q - 15 = 2*y, -16 = -5*q - 1. Let d be (-48)/36 + (-312)/36. Let i = y + d. Is -9 smaller than i?
False
Suppose -4*c + 7*c - k - 25 = 0, 5*c - k = 45. Let f be (-11)/440*(-2025)/c. Is 4 at least f?
False
Suppose 285*m - 5 = h + 286*m, -5*h = -m - 17. Let u be 97/32 - (1 - -1). Is h > u?
True
Suppose -182*h - 351 | {
"pile_set_name": "DM Mathematics"
} |
m = -59 + 58. Let i be -1 + m - (-5 + 56/18). Which is smaller: 1 or i?
i
Let y be 15/(-9)*(-2)/(-3). Let a = 48 - 35. Suppose p = -5*n - a, 2*n = -0*p - 2*p - 10. Is y smaller than n?
False
Let d be 259*2/175*-45. Which is smaller: d or -133?
d
Let l be ((-80)/(-140))/(318/(-14)). Are 0 and l non-equal?
True
Let x = 5873 - 5877. Let n be 12/(-7) + (0 - 1). Which is bigger: n or x?
n
Suppose 4 = 2*x + 3*j - 11, 0 = 5*x - 2*j + 10. Suppose -5*m = -x*m - 10. Let g be (-2)/4*m/3. Which is greater: g or 2/11?
2/11
Let b be (3 + 7/(-2))/((-7)/21). Let w = 14 - 16. Are w and b unequal?
True
Let b(h) = h**3 - 8*h**2 + 4*h + 2. Let x be b(8). Is -6 less than x?
True
Suppose 21 = -3*r + 4*g + 55, 2*r + 8 = -5*g. Suppose -r = -2*l - 24. Let q be (-2 - 39/l) + -2. Which is smaller: q or -1?
-1
Let h be (-3)/(-2 + 5) + 2. Let c(a) = -a**3 - 10*a**2 - a - 1. Let k be c(-10). Suppose 3*y - 3 = -k. Are h and y unequal?
True
Suppose -2*h + 0*w + 2*w = 6, -4*w = -h + 3. Let a be ((-2)/40)/(2/h). Which is bigger: a or -0.1?
a
Let n be -152 + (-2 - (-10)/2 - 7). Which is greater: -159 or n?
n
Let j(f) be the second derivative of -f**5/20 - 11*f**4/12 - 13*f**3/6 - 4*f**2 - 13*f. Suppose 0 = 3*y - y + 20. Let a be j(y). Which is smaller: 21 or a?
21
Let a = 31 + -17. Suppose -5*p + 52 = -2*c, 3*p - 2*c + 4*c = 44. Which is smaller: a or p?
p
Let v be (-27 - -1) + 3*5/(-15). Let o be ((-128)/(-44))/(-2)*v/12. Which is smaller: o or 2?
2
Let s = 110 - 109.82. Let k = -0.6 + 0.7. Which is greater: k or s?
s
Let p = -8 + 7. Let a(i) = -43*i**3 - i**2 + i + 1. Let r be a(p). Let t be 13/r - 15/105. Is -2/7 < t?
True
Let r(z) = -z**3 + 4*z**2 + z - 5. Let t be r(4). Is t less than 4/3?
True
Let n = 3461/25112 + -5/344. Is n smaller than -1?
False
Let t = 921 + -923. Let s = 11 + -20. Is s less than t?
True
Let q = -11.8 + 11. Let m = 53/4 + -55/4. Which is bigger: m or q?
m
Let j(i) = 2*i**3 + 4 + 23*i - 42*i + 24*i. Let b be j(-1). Let g(v) = v**3 - 6*v**2 + 4*v + 2. Let s be g(5). Is b bigger than s?
False
Let t = 4225 + -1128070/267. Let y = 1099/30171 - t. Which is smaller: y or 1?
y
Suppose 5*t - 2 = 13, -3*w - 5*t + 2175 = 0. Are 719 and w nonequal?
True
Suppose 4*a + 3*k = -64, 6*k = 4*k. Is -15 < a?
False
Let a = 0 - 0.09. Suppose r = -3*z - 0 + 14, 12 = 3*z. Is r >= a?
True
Let g(z) = z**3 + 6*z**2 - 6*z + 6. Suppose -s = -4*l - 32, -4*l = 2*s - s. Let d = 9 - s. Let j be g(d). Is j at least 2/11?
False
Let g(w) = -w**3 + 5*w**2 + 5*w - 6. Let k be g(5). Let l = k - 14. Let a be (-5)/5*(l - 0). Which is smaller: a or -6?
-6
Suppose 0 = 5*z + 5*a + 135, -3 = 3*z - 5*a + 70. Are z and -10 unequal?
True
Let h(o) = o**2 - 12*o + 17. Let u be h(11). Let z be (-5)/(-10)*(u - -2). Which is bigger: z or 7?
7
Let m = 649/5 - 8332/65. Which is greater: 3 or m?
3
Let g(r) = -r**2 + 15*r + 4. Let l be g(15). Let j = -5 - -4. Which is smaller: j or l?
j
Let q = -22 - -12. Let h = q + 5. Let g = 83.9 - 84. Is h >= g?
False
Suppose -7*f = f - 32. Let z = 6.6 + 0.4. Let n = 6 - z. Does n = f?
False
Let c = -11327 + 11328. Let n = -3 - -2. Let t = 15 - n. Do c and t have the same value?
False
Let q be (-5)/15 - (-142)/(-24). Let f(v) = 36*v + 173. Let n be f(-5). Which is smaller: n or q?
n
Let p = -11 + 20. Let u be (1/2)/((-9)/6). Which is bigger: p or u?
p
Let s(k) = k**2 + 4*k - 35. Let n be 3/(-6 - -5)*3/1. Let l be s(n). Is 10 greater than l?
False
Let a = 69 - 23. Let u = -46 + a. Is 3/5 greater than or equal to u?
True
Let j(c) = c**3 + 59*c**2 + 406*c - 101. Let s be j(-51). Let n = -137481/140 - -982. Which is bigger: n or s?
s
Let h = 0.1 - 0.09. Let z = 0.046 + 0.064. Let x = z - h. Which is smaller: x or -0.1?
-0.1
Let r = -22 + 12. Let v be (r/15)/(2/3). Suppose 2*m + 24 = -2*m - 4*g, g = -5. Is v less than or equal to m?
True
Let y(i) = -8*i - 7. Let j(h) = 4*h + 4. Let u(n) = -7*j(n) - 3*y(n). Let r be u(-2). Is 1/4 smaller than r?
True
Let z = 43 + -15. Let y = z - 26. Suppose -y*f + 0*f + 49 = 3*p, -3*p - f = -53. Is 18 equal to p?
False
Let n be ((-4)/(-33))/(2/27). Let o be 7310/2365 + (-1)/11. Is n at least as big as o?
False
Let r(s) = s**2 + s + 1. Let j(u) = 4*u**2 - 4. Let y(g) = -j(g) + 3*r(g). Let k be y(5). Let o be k - -10*2/8. Which is smaller: o or 2/3?
o
Let b be ((-233)/(-26) - 9)*7. Is b bigger than -2/7?
True
Let o = -2323.9 + 2324. Let s = 40 - 59. Is o greater than s?
True
Let g be -2*(-777)/(-516) - -3. Let v = g + -341/258. Let n(b) = -2*b. Let x be n(1). Which is bigger: x or v?
v
Suppose -6*f - 124 = -2*f. Let o = 609 + -640. Is f less than o?
False
Let o(b) = b**2 - 12*b - 29. Let x be o(-7). Which is bigger: x or 1?
x
Let s = 71 - 68. Let f be 19 - 3/9*(s - 3). Which is greater: f or 73/4?
f
Let u be ((-9)/12)/1 + 1. Suppose 2*a + q = 6*a - 3, -2*a - 5*q = -7. Which is smaller: u or a?
u
Let f = -1 - -1. Suppose 132 = -5*q + 4*t, -q + 3*t - 23 = -1. Let w be (2 - (-49)/q) + (-19)/44. Is w less than f?
True
Let d be (4 + (-238)/(-4))/((-2)/4). Let n = d + 887/7. Which is bigger: n or 14?
14
Suppose l = 4*p - 13, 3*p + 16 - 10 = -l. Is l != -154/15?
True
Let d be 26/4*98/(-392). Is d not equal to -1?
True
Let d = 12 + -12.3. Let i = -0.1 - d. Let w = -2 - -1.9. Which is bigger: i or w?
i
Let x = -2.1618 - -0.1618. Do x and -0.33 have the same value?
False
Let y = 0.1 + -0.1. Let b = 0 + y. Let g = 4/293 + -630/3223. Is b at most g?
False
Let a = -7 - -3. Let w(l) = l + 3. Let p be w(a). Let j = 67/506 + -2/23. Which is smaller: j or p?
p
Let x = -278.3 - -278. Which is greater: -60 or x?
x
Let c be 988/1045*(58 - -2). Do 56 and c have different values?
True
Suppose -20 = -5*r, r + 8 - 4 = n. Suppose n*h = -6*h + h. Which is smaller: 2/23 or h?
h
Let u = 25 + -27. Let w = 6 - u. Suppose -3*f - w = f. Do 0 and f have different values?
True
Let f = 306 - 285. Which is bigger: 4 or f?
f
Let m = -349 - -352. Let k = -1 - 1. Let q = k - -4. Is q at least m?
False
Let q = -90 - -63. Let z(i) = -2*i**3 - 2*i**2 + 3*i + 2. Let t be z(-2). Suppose u + 34 = -3*v + 6*v, t*v + 132 = -5*u. Which is greater: q or u?
q
Suppose 0*o = 4*o - 3*t - 165, 0 = -o - 5*t + 70. Let f = o - 22. Suppose 4*b + 21 - 9 = 0, -k = 5*b + f. Is k less than -8?
False
Let j = 0.03 + 0.27. Let l = -1529 - -1529.3. Is j greater than l?
False
Let m = -50.8996 + -0.1004. Do m and 0 have different values?
True
Let y = 2.84 + -0.04. Let z = y - 2.63. Let g = z - -0.83. Which is bigger: 0.09 or g?
g
Let o be (0 + 3)/((-3)/(-8)). Suppose 4*x + 2*x = 48. Suppose x*h - 15 = 41. Is h less than or equal to o?
True
Suppose 1 = 34*k + 1. Suppose m + 1 = -3*m + g, 5*m + g + 8 = 0. Let y be ((-39)/6 + m)/(-6). Are y and k equal?
False
Let k = -22484 - -19763434/879. Let p = k - -4403/3516. Are p and 0 unequal?
True
Let g = 0.7 + -3.7. Let n = 418 - 416. Is g greater than n?
False
Let m be (-71)/(-781)*22/4124. Is m not equal to 1?
True
Suppose 4*o - 648 = -20*o. Let f be -3 + 2 - -30 - 3. Which is bigger: f or o?
o
Let l = 584 - 585.91. Is l > 0.1?
False
Suppose -37*o + 780 + 22678 = 0. Which is smaller: o or 635?
o
Let y be -9*(-4)/48 + (-22)/8. Let m be y/(-7) - ((-19)/7 - -3). Which is smaller: -4 or m?
-4
Let v(p) = -p**3 - p**2 + 5*p + 3. Let d be v(-3). Let b = 9 - d. Suppose 2*r + b*u = -1, -3*r + 6 = -r - 4*u. Is 2 bigger than r?
True
Suppose 0 = -3*w - 12, 0 = 3*g - 2*w - w + 12. Suppose 0 = -5*b - 16 + 61. Let m = g + b. Which is greater: 2 or m?
2
Let x = -2949/5 + 565. Do -26 and x have different values?
True
Let u be 2/12*(-34 - -28). Which is smaller: u or 2?
u
Suppose 14*g = -g + 15. Let p be (-3 - (-15)/3) + -2. Suppose 2*m - 2 = -0*m - 2*j, -4*m - j + 1 = p. Which is bigger: m or g?
g
Let h(f) = f**2 + 15*f + 23. Let x be h(-14). Let t be 12/x*-3*2. Which is bigger: t or -9?
t
Let z(r) = -r**3 + 4*r**2 - 42. Let n be z(0). Is -44 less than n?
True
Suppose k + k - 8 = 0. Suppose -k + 8 = -4*g. Is g less than 1/9?
True
Let v be (-7)/1869*(-7)/(-7). Which is greater: v or 0?
0
Let k be 8 + -9 + (-2*1 - -49). Let j = 46 - k. Is 1 > j?
True
Let y be 152/(-114)*((-10306)/10300 + 1). Which is smaller: -1 or y?
-1
Suppose l + 4*b = 62, 8*l + b - 234 = 3*l. Let w = -53 + l. Is w less than -15/2?
False
Suppose 4*z = f + 196, 3 = f - 1. Let g = z - 152/3. Is 1 bigger than g?
T | {
"pile_set_name": "DM Mathematics"
} |
Simplify 2*(4*sqrt(1377) + sqrt(17) - (sqrt(425) + -3))**2 + -2.
384*sqrt(17) + 34832
Simplify (-4*-3*sqrt(99))/(6*sqrt(72)/sqrt(8)).
2*sqrt(11)
Simplify ((sqrt(325) + (2 + sqrt(325) - sqrt(325)) + 4 + 0)*-5 + -1)**2.
1550*sqrt(13) + 9086
Simplify ((0 + sqrt(1053) - sqrt(1053)) + 4)**2 + ((sqrt(468) - (sqrt(468) + sqrt(468)*1)) + -3)**2.
36*sqrt(13) + 493
Simplify ((3*(sqrt(72) + 2))**2 + sqrt(72))*-5 + (1*sqrt(72)*3 + 4 + sqrt(72) + 1)**2.
-2243 - 870*sqrt(2)
Simplify (-4*(sqrt(66) - (sqrt(66) + sqrt(66)*1)) + sqrt(66)*1*4)/(sqrt(864)*1*6 - sqrt(864)).
2*sqrt(11)/15
Simplify (-4*(sqrt(80) + -2 + sqrt(80) + 4 + sqrt(80) + (sqrt(80) + sqrt(80) + 1*sqrt(80) + sqrt(80))*6) + -5)**2.
11232*sqrt(5) + 933289
Simplify ((sqrt(85)/(sqrt(5)*3) - (-3 + sqrt(17) + -4)**2) + 1)*-4.
-172*sqrt(17)/3 + 260
Simplify (sqrt(112)/sqrt(63))/sqrt(1152) + -3.
-3 + sqrt(2)/36
Simplify (2*(-1*sqrt(133) + sqrt(133)) + 6*sqrt(133)*2)/(sqrt(5103)*1).
4*sqrt(19)/9
Simplify 6*sqrt(24)/(sqrt(12) - (sqrt(12) + sqrt(588) + sqrt(12) + sqrt(12))*6)*2.
-12*sqrt(2)/59
Simplify 4*(3 + sqrt(320)) - ((sqrt(5) - (sqrt(15)/sqrt(3) + sqrt(5))) + -3)*1.
15 + 33*sqrt(5)
Simplify -1*4*sqrt(6)/(sqrt(72) + -2*sqrt(72))*1.
2*sqrt(3)/3
Simplify -3 + (sqrt(35)*1*3*-6)/(4*-2*sqrt(500)).
-3 + 9*sqrt(7)/40
Simplify (2*(1 + sqrt(153)))**2*-5 - 2*(-3 + 2*sqrt(153)).
-3074 - 132*sqrt(17)
Simplify ((sqrt(175) + 2*(sqrt(175)*-2 - sqrt(175) - sqrt(175)) + sqrt(175))/sqrt(7))/(sqrt(15)/(sqrt(48) - sqrt(3)) + sqrt(5) + sqrt(55)/(sqrt(44)/sqrt(4))).
-18*sqrt(5)/7
Simplify (2*sqrt(11)*5)**2 - sqrt(44)/(sqrt(4) + -3*sqrt(4) - sqrt(4)) - (-5 + sqrt(22)/sqrt(32) + sqrt(22)/(sqrt(4)/sqrt(2))).
-11*sqrt(11)/12 + 1105
Simplify (sqrt(14)/((1*sqrt(18))/sqrt(9)) + (-2*sqrt(448) + 1 - sqrt(448)))**2.
-46*sqrt(7) + 3704
Simplify ((sqrt(1584)*-1 - sqrt(1584) - sqrt(1584) - sqrt(1584))*-3)/(-3*sqrt(256)*2).
-3*sqrt(11)/2
Simplify 3*(1*(0 + sqrt(66)/(sqrt(24) + -2*sqrt(24))))**2.
33/4
Simplify (3 + 1 + 1 + 2*sqrt(13) + (sqrt(208) - (2 + sqrt(208)) - (sqrt(117) + sqrt(117)*-2 - sqrt(117))/sqrt(9)))**2.
24*sqrt(13) + 217
Simplify (sqrt(1372) + sqrt(1372)*2 + sqrt(1372))/sqrt(4) - (sqrt(63) + sqrt(189)/(sqrt(6)/sqrt(2)))/sqrt(9).
26*sqrt(7)
Simplify -4 + (sqrt(133) + sqrt(133)*-1*-4 + sqrt(133))/(sqrt(567)/sqrt(9)).
-4 + 2*sqrt(19)
Simplify (sqrt(153)/(sqrt(36) - (1*sqrt(36) + sqrt(36))) - 1*-5*sqrt(153)/sqrt(9)) + 3.
3 + 9*sqrt(17)/2
Simplify 1*(sqrt(85)/sqrt(45) + -5 - (sqrt(153)*-3 + 2)).
-7 + 28*sqrt(17)/3
Simplify ((sqrt(304) + -3 + sqrt(304))*2 + 3)*-1.
-16*sqrt(19) + 3
Simplify 1*(sqrt(80) - (sqrt(80) + 3*-1*sqrt(80)) - 3*2*sqrt(80)) + 5.
-12*sqrt(5) + 5
Simplify (-5 + 4 + (sqrt(19) - sqrt(209)/(1*sqrt(11)))**2 + 1)*-1.
0
Simplify (5*(sqrt(288) - (sqrt(288) + -1)) + 1 + 0)**2*-2.
-72
Simplify (5 + (sqrt(1800) + sqrt(1800) + -2*sqrt(1800) + sqrt(1800) + sqrt(1800) - sqrt(800)*-3 - (-1*sqrt(6050) + -1)))**2.
2100*sqrt(2) + 61286
Simplify ((sqrt(126) + -2*1*sqrt(126))/sqrt(9))/((1*sqrt(14)*-1)/sqrt(2)).
sqrt(2)
Simplify (-6*sqrt(315)*2)/(sqrt(45)*-2).
6*sqrt(7)
Simplify (-5*(-2*sqrt(19)*3 - (0 + sqrt(76)) - (sqrt(19) + sqrt(19) + 2 + 4 + 2)))**2.
4000*sqrt(19) + 49100
Simplify (4 + sqrt(847) + 0 + 2*sqrt(847) + 0)**2 + ((2 + sqrt(567) + sqrt(63))*2)**2.
456*sqrt(7) + 11687
Simplify -1 + -1 + (-3*sqrt(33)*-3)/(sqrt(147) + -1*sqrt(147) - sqrt(147)).
-9*sqrt(11)/7 - 2
Simplify ((3 + 2 + -4*sqrt(304))*-6)**2.
-5760*sqrt(19) + 176004
Simplify 3*(5*(-2*sqrt(1300) - sqrt(1300)) + -1)*6.
-2700*sqrt(13) - 18
Simplify 1*(5 + (-1 + sqrt(567))**2) + ((sqrt(567) - -1*sqrt(567))*5 - sqrt(567)) + -4*(sqrt(567) + (sqrt(567)*-2)**2) + sqrt(567).
-8499 + 36*sqrt(7)
Simplify (sqrt(88) + sqrt(88) + -5*(sqrt(88) + sqrt(88)*-1))/((sqrt(128) + (sqrt(128) - sqrt(128)*-4) - sqrt(128) - sqrt(128)) + sqrt(128)).
sqrt(11)/10
Simplify (-5 + 2*sqrt(125) + 5 - (1 + -1*sqrt(125)*-4))**2.
20*sqrt(5) + 501
Simplify (1*sqrt(1728) + 3*sqrt(48)/sqrt(4))/(sqrt(96) - (sqrt(96) + -1*sqrt(96))*-4).
15*sqrt(2)/4
Simplify (sqrt(456)/(sqrt(24)/sqrt(2)) + sqrt(1368)*-1 + sqrt(1368) + sqrt(1368) + sqrt(1368))/((4*sqrt(22)*5)/sqrt(11)).
13*sqrt(19)/20
Simplify (sqrt(153)*2*-3*-6*-2*-6*2)**2.
114213888
Simplify 3*((sqrt(567)/sqrt(9))**2 + (sqrt(14)/sqrt(2))**2*-5 - (2*sqrt(2016) - sqrt(2016))/sqrt(2)).
-36*sqrt(7) + 84
Simplify (-2 + (sqrt(4320) + 5*sqrt(4320)*-2)/((sqrt(90)/sqrt(3))/sqrt(3)*-4))**2.
-108*sqrt(3) + 2191
Simplify (2*(3 + -3*(sqrt(7) + 1)*-1 + -4))**2.
48*sqrt(7) + 268
Simplify (-4*(sqrt(1836)*-2)/(sqrt(300) + 2*sqrt(300))*2)**2.
4352/25
Simplify (2*-1*sqrt(117) + sqrt(117))/((sqrt(9) - sqrt(576))*-6).
-sqrt(13)/42
Simplify (2*sqrt(105)/sqrt(5)*-5)/(sqrt(21)/(sqrt(7) - sqrt(35)/(sqrt(5)*-1))).
-20*sqrt(7)
Simplify ((sqrt(91) - ((sqrt(91)*1*-2 - sqrt(91) - sqrt(91)) + sqrt(91) - sqrt(91)))/(sqrt(7) - (sqrt(343) + sqrt(343)*2 - sqrt(7)))*1)**2.
325/361
Simplify (1*sqrt(624) - (sqrt(351)*1 - sqrt(351)))/((sqrt(396)/(sqrt(55)/sqrt(5)))/sqrt(12)).
4*sqrt(13)
Simplify (4 + -4*sqrt(468)*-2 + 1 + sqrt(468) + sqrt(468) + 1 + 5)**2.
1320*sqrt(13) + 46921
Simplify 3 + ((0 + -3*sqrt(12))**2 - (sqrt(27) + -4 + -1 + sqrt(27))).
-6*sqrt(3) + 116
Simplify (sqrt(55)/(sqrt(45)*-2))**2 + -5 + 3 + sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(11)*2)).
-61/36 + 3*sqrt(11)
Simplify ((1*sqrt(405))/sqrt(9))/((sqrt(27) + sqrt(54)/sqrt(2))/sqrt(3))*-1.
-sqrt(5)/2
Simplify 3*(sqrt(1872) - (-5 + (-1*sqrt(1872) - sqrt(1872))) - (sqrt(1872) - (5 + -2 + sqrt(1872))))**2*4.
6912*sqrt(13) + 202944
Simplify (sqrt(7) + 4)*-6*-1 + 3 + sqrt(175) + 2.
29 + 11*sqrt(7)
Simplify -1 + (((-2*sqrt(84))/sqrt(12))**2 - sqrt(7) - -6*sqrt(28)/sqrt(4) - ((sqrt(42)/sqrt(6) + sqrt(7))*2)**2*5).
-533 + 5*sqrt(7)
Simplify (sqrt(117)*2*1*-3)/((2*sqrt(108))/sqrt(3)).
-3*sqrt(13)/2
Simplify (sqrt(112)*-2*1)**2 - ((sqrt(7) + sqrt(63) + 2 - sqrt(7))**2 - (sqrt(112) + 1*sqrt(112))**2).
-12*sqrt(7) + 829
Simplify (-4*(sqrt(176) + 4 + (-1 + sqrt(176) - sqrt(176)) + sqrt(176) + -2))**2.
256*sqrt(11) + 11280
Simplify (2*sqrt(6050))/sqrt(10)*-3 + 1.
-66*sqrt(5) + 1
Simplify -5*(sqrt(27)*-3)/sqrt(9) - ((sqrt(3)*2*-6)**2 + (sqrt(21)*1)/sqrt(7)).
-432 + 14*sqrt(3)
Simplify 2 + (-5*(sqrt(85)/sqrt(5))**2 - (5*-5*sqrt(17))**2).
-10708
Simplify -1 + (0 + sqrt(5) + sqrt(5)*1 + -3 + -1*sqrt(5) + ((sqrt(135) + sqrt(15) - sqrt(15))/sqrt(3) - sqrt(5)) + 0)**2.
-18*sqrt(5) + 53
Simplify (-4 + 2 + 1*sqrt(99) + ((sqrt(110)*-2 + sqrt(110) - sqrt(110))*6)/(sqrt(480)/sqrt(3) - sqrt(10)))**2.
4*sqrt(11) + 15
Simplify (1*(sqrt(130) - (5*1*sqrt(130) + sqrt(130))))/(4*-2*sqrt(360)) + 5.
5*sqrt(13)/48 + 5
Simplify 4 + (-3*((-4 + sqrt(700))*-2 + ((-2 + sqrt(700) - sqrt(700)) + -5 - sqrt(700))))**2.
-540*sqrt(7) + 56713
Simplify (-4*(sqrt(320) + -3 + sqrt(320) + -2 + sqrt(320) + sqrt(320) - sqrt(25)/(sqrt(5) + -2*sqrt(5)*1)))**2.
-5280*sqrt(5) + 87520
Simplify -6*((sqrt(612) + 1 - sqrt(612)) + 5 - (((sqrt(612) + (sqrt(612) + 0 + sqrt(612) - sqrt(612)) + sqrt(612))**2 - sqrt(612)) + -5)) + 4.
-36*sqrt(17) + 32986
Simplify (-2*(sqrt(72) + (2*sqrt(72) - sqrt(72)) + sqrt(72)) - sqrt(72))/(sqrt(128)/sqrt(2)).
-21*sqrt(2)/4
Simplify 0 + (((sqrt(343) + 1)*-3 - sqrt(343))**2 - (sqrt(343) - (4*-2*sqrt(343) - sqrt(343))**2)) + 3.
161*sqrt(7) + 33283
Simplify 3 + (sqrt(6)/sqrt(2)*-1 + -1 - (sqrt(192) - (0 + sqrt(192)))*1)**2.
2*sqrt(3) + 7
Simplify ((sqrt(972)*-2 + sqrt(972) - sqrt(972)) + 2)**2 + (sqrt(297)*-2*4)/sqrt(11).
-168*sqrt(3) + 3892
Simplify -1*(((sqrt(104)/sqrt(2))**2 - sqrt(13)) + sqrt(143)/(-2*sqrt(11))).
-52 + 3*sqrt(13)/2
Simplify (((sqrt(270)*4)/sqrt(6) - -6*(sqrt(125) + -3)) + 4)**2.
-1176*sqrt(5) + 9016
Simplify (-4*-2*sqrt(1300)*3*6)**2.
26956800
Simplify 4*(-2*sqrt(3) + sqrt(3)) - (sqrt(3) - (sqrt(3) + (sqrt(75))**2*3)) - (sqrt(3)*2 + 2 + sqrt(3)*-1 + -2).
-5*sqrt(3) + 225
Simplify (-3*(sqrt(130)*-1*6 - sqrt(130)))/((sqrt(100)*1)/sqrt(10) - (sqrt(10) - (sqrt(360) - (sqrt(360) - sqrt(360)*1) - sqrt(360) - sqrt(360)))).
-7*sqrt(13)/2
Simplify (3 + 4*(2 + 2*sqrt(99) + 2 + sqrt(99) + sqrt(99)))**2.
1824*sqrt(11) + 25705
Simplify -2 + sqrt(300)*1 + 2 + 1.
1 + 10*sqrt(3)
Simplify (-1*sqrt(700)*2)**2 + ((sqrt(84)/sqrt(2))/sqrt(6)*5)**2.
2975
Simplify sqrt(85)/((sqrt(5) - (sqrt(5) - (sqrt(10)/sqrt(2) + sqrt(5) - sqrt(5)))) + sqrt(5))*5 - | {
"pile_set_name": "DM Mathematics"
} |
413
What is 233 (base 13) in base 2?
101111100
Convert -56d (base 15) to base 3.
-1200111
Convert -13c69 (base 13) to base 16.
-9193
1050 (base 10) to base 9
1386
Convert -314 (base 7) to base 16.
-9e
-2320 (base 10) to base 5
-33240
2220202 (base 3) to base 5
32001
Convert 14301 (base 5) to base 6.
5321
Convert 2433 (base 5) to base 8.
560
292 (base 14) to base 12
374
-1112002 (base 4) to base 9
-7487
What is 2022021 (base 3) in base 8?
3221
Convert 144a (base 11) to base 8.
3515
Convert 1199 (base 15) to base 14.
1516
What is -221022 (base 3) in base 15?
-308
30364 (base 11) to base 4
22311010
112835 (base 9) to base 12
33258
Convert -10666 (base 9) to base 16.
-1bc3
1d81 (base 15) to base 8
14425
Convert -210200 (base 3) to base 7.
-1464
411 (base 8) to base 14
14d
-10011000000011 (base 2) to base 7
-40241
Convert 13425 (base 8) to base 9.
8085
What is 769 (base 14) in base 3?
2000021
Convert b54 (base 14) to base 6.
14154
Convert -2211 (base 4) to base 5.
-1130
Convert 3176 (base 9) to base 2.
100100100001
12235 (base 7) to base 8
6213
1268 (base 14) to base 13
1614
-10002020 (base 3) to base 6
-14223
Convert -233330 (base 4) to base 6.
-22112
What is -1100011000000111 (base 2) in base 14?
-14691
Convert 10001100011110 (base 2) to base 7.
35132
Convert 101100010100101 (base 2) to base 14.
83ad
-840b (base 12) to base 4
-3201023
Convert 6d4 (base 15) to base 4.
120031
-112201022 (base 3) to base 15
-32a2
38764 (base 9) to base 13
bb8a
111101 (base 4) to base 3
1212102
-111000100010010 (base 2) to base 13
-10238
What is 30310 (base 7) in base 6?
54021
33313 (base 4) to base 3
1101121
What is 1340 (base 6) in base 15?
183
Convert -1477 (base 9) to base 10.
-1123
Convert 15314 (base 7) to base 6.
31442
-46b (base 12) to base 8
-1223
What is 417 (base 13) in base 12?
4a0
What is 3c7b (base 14) in base 8?
24705
Convert 10010001 (base 2) to base 12.
101
What is -1404354 (base 6) in base 13?
-29b0c
Convert -66664 (base 7) to base 2.
-100000110100100
13461 (base 8) to base 9
8126
What is 552 (base 9) in base 2?
111000100
Convert -2111 (base 7) to base 2.
-1011100111
What is -2245 (base 15) in base 3?
-100222002
Convert -53423 (base 6) to base 5.
-213122
-12333 (base 6) to base 8
-3501
Convert 2012202 (base 3) to base 12.
b25
What is 102100 (base 4) in base 16?
490
What is 23002200 (base 4) in base 5?
2421331
36ca (base 14) to base 7
36643
-502 (base 10) to base 13
-2c8
What is 1011010100100 (base 2) in base 8?
13244
-221 (base 10) to base 6
-1005
-10b5 (base 14) to base 16
-b57
Convert 11101 (base 4) to base 8.
521
What is 5242 (base 14) in base 16?
375a
46d (base 15) to base 4
33223
What is -10044 (base 5) in base 13?
-3ac
What is -372b (base 15) in base 2?
-10110111011101
12204 (base 6) to base 3
2110211
What is -27722 (base 10) in base 7?
-143552
Convert -1461 (base 12) to base 16.
-949
Convert -791 (base 16) to base 8.
-3621
Convert -38a8 (base 11) to base 8.
-11727
Convert -1a (base 13) to base 10.
-23
Convert -11063 (base 9) to base 3.
-101002010
Convert -991 (base 10) to base 14.
-50b
What is -1010011000100110 (base 2) in base 6?
-524530
What is 11606 (base 15) in base 4?
31200330
What is 2012011 (base 3) in base 4?
120331
What is 66c (base 15) in base 11?
1100
Convert -1062 (base 9) to base 14.
-401
-301441 (base 5) to base 6
-112313
-1001000101 (base 2) to base 5
-4311
What is 3211 (base 6) in base 3?
222221
What is 1aac (base 13) in base 16?
fbd
What is -122202 (base 3) in base 11?
-3a6
What is -70260 (base 10) in base 7?
-411561
What is -133 (base 6) in base 7?
-111
Convert 11033001 (base 4) to base 2.
101001111000001
Convert 2b3 (base 14) to base 10.
549
Convert 8d5 (base 16) to base 7.
6410
-329 (base 14) to base 4
-21301
1053 (base 9) to base 4
30021
121 (base 10) to base 12
a1
Convert -a1 (base 14) to base 3.
-12020
Convert -31534 (base 9) to base 4.
-11011300
What is -1360 (base 10) in base 4?
-111100
386 (base 13) to base 15
2b2
What is 5a6 (base 16) in base 2?
10110100110
Convert 1124 (base 8) to base 12.
418
Convert 530 (base 6) to base 3.
21100
-52535 (base 6) to base 4
-1233023
Convert d99 (base 14) to base 2.
101001111011
33411 (base 6) to base 11
3581
Convert 39f (base 16) to base 8.
1637
Convert -652a (base 11) to base 16.
-21af
70c0 (base 16) to base 13
101a4
Convert b457 (base 13) to base 2.
110000101010011
-500 (base 7) to base 14
-137
What is -322 (base 12) in base 5?
-3313
-717 (base 16) to base 8
-3427
Convert -34475 (base 8) to base 11.
-10011
Convert -3210 (base 6) to base 5.
-10401
Convert 44027 (base 10) to base 15.
d0a2
3200 (base 4) to base 2
11100000
What is 3213310 (base 4) in base 6?
152404
What is 50d (base 16) in base 12?
8b9
4534 (base 8) to base 15
a9b
What is -1701 (base 14) in base 9?
-5574
Convert 1a59 (base 11) to base 14.
d41
Convert a2 (base 15) to base 2.
10011000
22246 (base 10) to base 7
121600
1431000 (base 5) to base 16
75ad
-11051 (base 9) to base 15
-2291
What is -1a1c (base 16) in base 2?
-1101000011100
1714 (base 9) to base 8
2435
Convert -166 (base 8) to base 11.
-a8
Convert -1222220 (base 3) to base 9.
-1886
Convert -10000101100101001 (base 2) to base 5.
-4142033
Convert -85563 (base 10) to base 8.
-247073
-10002034 (base 5) to base 11
-53998
Convert 10b7 (base 15) to base 12.
2077
Convert -3013330 (base 4) to base 5.
-402141
Convert -816 (base 12) to base 3.
-1121100
-11010110 (base 2) to base 6
-554
What is 1202101 (base 3) in base 11?
a63
What is -30453 (base 6) in base 5?
-112230
Convert -230532 (base 6) to base 10.
-19640
Convert 1cc9 (base 15) to base 12.
3760
What is 3a92 (base 14) in base 15?
30d0
1010010110 (base 2) to base 12
472
-101101001 (base 2) to base 4
-11221
What is 210010000 (base 3) in base 16?
3c1e
What is 185 (base 11) in base 12?
15a
What is -1101111110 (base 2) in base 7?
-2415
Convert -120111 (base 3) to base 12.
-2aa
Convert -36761 (base 9) to base 10.
-24679
What is -1253 (base 10) in base 2?
-10011100101
Convert -1540 (base 16) to base 15.
-192a
54 (base 13) to base 7
126
-717 (base 15) to base 13
-95b
Convert -55e (base 15) to base 8.
-2276
Convert 23305 (base 13) to base 10.
64225
What is -32bd (base 15) in base 10?
-10753
What is 571 (base 13) in base 9?
1251
What is -224 (base 10) in base 13?
-143
What is -36 (base 10) in base 15?
-26
Convert -a6 (base 12) to base 8.
-176
-4551 (base 9) to base 5
-101432
-213 (base 4) to base 11
-36
-b23d (base 16) to base 6
-551125
Convert 328 (base 16) to base 13.
4a2
11010011011000 (base 2) to base 11
a189
What is -3a4 (base 13) in base 8?
-1201
-4277 (base 11) to base 2
-1011000010010
-def (base 16) to base 10
-3567
Convert 40 (base 10) to base 15.
2a
3511 (base 12) to base 2
1011100011101
Convert -10011101 (base 2) to base 11.
-133
Convert 75026 (base 8) to base 11.
21533
What is 300 (base 13) in base 15?
23c
Convert 5727 (base 12) to base 11.
72aa
2112012 (base 3) to base 13
ab8
What is 293 (base 16) in base 4?
22103
Convert 10011111 (base 3) to base 2.
100100000100
Convert -30 (base 8) to base 2.
-11000
What is -112011 (base 3) in base 12?
-27a
What is -100222 (base 3) in base 10?
-269
What is 1212210 (base 3) in base 5?
20441
What is 20032 (base 4) in base 6?
2234
What is c139 (base 15) in base 5?
2301104
Convert 120100 (base 3) to base 9.
510
969 (base 11) to base 16
48c
-31725 (base 8) to base 13
-6069
dcb (base 16) to base 5
103111
-31023 (base 6) to base 13
-1b4b
What is -18446 (base 10) in base 12?
-a812
Convert 4032 (base 5) to base 12.
371
-d96 (base 16) to base 3
-11202211
What is -8284 (base 13) in base 3?
-220201111
Convert -522 (base 10) to base 3.
-201100
15bd (base 14) to base 16
f33
-45340 (base 6) to base 3
-22202220
What is -616 (base 7) in base 15?
-157
What is -b3 (base 13) in base 5?
-1041
What is 359 (base 12) in base 9?
616
-4773 (base 9) to base 3
-11212110
What is -6b9b (base 15) in base 7?
-123452
Convert 127e (base 15) to base 7.
14333
What is -10020 (base 3) in base 12?
-73
-2012311 (base 4) to base 15
-2854
Convert -1220012 (base 3) to base 12.
-972
What is -93 (base 11) in base 14?
-74
What is 21a65 (base 11) in base 9?
47667
Convert -5122 (base 6) to base 12.
-7a2
322011 (base 4) to base 5
104332
What is -12606 (base 7) in base 14?
-133d
Convert -493 (base 13) to base 9.
-1074
Conver | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(170)))))/(sqrt(100)/(sqrt(360)*-2)).
-36*sqrt(17)
Simplify (sqrt(1053) - 6*sqrt(1053)*3 - (sqrt(1053) + sqrt(1053)*3)*-5)**2 + -5.
9472
Simplify ((-5 + 1*sqrt(208) - 1*(3 + sqrt(13)*-1)) + 0)**2 + -1.
-80*sqrt(13) + 388
Simplify 5 + 1 + -1 + sqrt(1700) + -5.
10*sqrt(17)
Simplify -4*1*-1*sqrt(13)*5*1.
20*sqrt(13)
Simplify -1*(0 + sqrt(272))**2 - (5 + sqrt(17) + (sqrt(119)*-5)/sqrt(7)).
-277 + 4*sqrt(17)
Simplify (-2 + -6*sqrt(1008)*1 + 4)*-6.
-12 + 432*sqrt(7)
Simplify (5*(2 + (sqrt(200) - (sqrt(200) - (0 + sqrt(200)*-2) - sqrt(200))) + 2))**2.
-2000*sqrt(2) + 5400
Simplify (3*-4*4*sqrt(117))/(2*sqrt(576)*-2).
3*sqrt(13)/2
Simplify sqrt(1331) + 5*sqrt(1331)*-2 + (((sqrt(440) - ((5*sqrt(440) - sqrt(440)) + sqrt(440)))/sqrt(8))/sqrt(5))**2.
-99*sqrt(11) + 176
Simplify ((-5*1*sqrt(136)*-5)/(sqrt(32) + sqrt(160)/sqrt(5)*-2) + -1)**2.
25*sqrt(17) + 10629/4
Simplify (-2*sqrt(77)*2)/(sqrt(7) + (sqrt(7) - sqrt(126)/sqrt(2))).
4*sqrt(11)
Simplify 0 + (-3 + (sqrt(17) - sqrt(612)*1) + (sqrt(153) + 0)*-2)**2.
66*sqrt(17) + 2066
Simplify -5 + -3 + (-5*sqrt(180))**2 + -5.
4487
Simplify (1*(((sqrt(70)*-2 - sqrt(70) - sqrt(70))*-1)/sqrt(10) - (-5 + -1 + sqrt(1008))))**2.
-96*sqrt(7) + 484
Simplify (-5*sqrt(832))/(sqrt(400)*1).
-2*sqrt(13)
Simplify (-6*1*(sqrt(187) - -2*sqrt(187)))/((sqrt(132) + (sqrt(132) + (sqrt(132) - (sqrt(132) + sqrt(132)*3 - sqrt(132))))*-6)/sqrt(12)).
-18*sqrt(17)/7
Simplify -6*((sqrt(2299) - (-5*sqrt(2299) + -4)) + (sqrt(2299) - ((sqrt(2299) + -2)*1 + sqrt(2299) - sqrt(2299))))**2.
-496800 - 4752*sqrt(19)
Simplify -4 + sqrt(162) + 0 + sqrt(162) + 3*((sqrt(2) - (-4 + 2*sqrt(2))) + sqrt(2)).
8 + 18*sqrt(2)
Simplify ((-2*sqrt(4896))/(sqrt(22)/(sqrt(11)*1)) + 2*(2 + (sqrt(68) - (sqrt(68) + 0))))**2.
-192*sqrt(17) + 9808
Simplify (4 + -2 + (sqrt(128) - (-3 + sqrt(128) + sqrt(128) + 0 - sqrt(128))) + -2 + -1)**2.
4
Simplify 1*2*(4*(1 + sqrt(1584) + sqrt(99)/(sqrt(27)/sqrt(3)))**2 + -3).
208*sqrt(11) + 14874
Simplify (sqrt(76)/(sqrt(216)/sqrt(12)))/(sqrt(288)*2*3).
sqrt(19)/216
Simplify ((sqrt(272) + sqrt(272)*1*2 + sqrt(272))**2*-3 + 5)*-1.
13051
Simplify -3*(3*sqrt(405))**2 - ((sqrt(405)*4)**2 + -2).
-17413
Simplify ((sqrt(77)*-1 + sqrt(77))*4 - (sqrt(77) - sqrt(77)*1)*4)/(-4*sqrt(175)*1 - sqrt(175)).
0
Simplify -3 + (-5*(-3 + sqrt(272) - sqrt(17))*-5)**2.
-11250*sqrt(17) + 101247
Simplify -1*((sqrt(128)*-1 + 5 - sqrt(128)) + (1 + sqrt(242))*-1)**2.
-1474 + 216*sqrt(2)
Simplify (sqrt(99) - 4*sqrt(99)*-3)/((2*sqrt(108))/sqrt(12)).
13*sqrt(11)/2
Simplify (5*sqrt(60)/(sqrt(4)*-1 - sqrt(4)))/((sqrt(105)/sqrt(3))/sqrt(7) + sqrt(5) - (sqrt(180)*1 + sqrt(180))).
sqrt(3)/4
Simplify (-4*6*sqrt(612)*2 - (-4 + 1*sqrt(612)*-1))**2.
-2256*sqrt(17) + 1351924
Simplify (sqrt(270)/(-2*sqrt(9)))/(-4*sqrt(54)).
sqrt(5)/24
Simplify ((sqrt(68) + (sqrt(68) - sqrt(68)*-1*-3))*-2)/(5*(sqrt(12)*-1)/sqrt(3)).
-2*sqrt(17)/5
Simplify (sqrt(114)/(sqrt(27)/sqrt(9)))/(sqrt(72) + sqrt(72)*2).
sqrt(19)/18
Simplify ((sqrt(200) - sqrt(200)*-2*-3)/(-1*sqrt(10)*4)*6)**2.
1125
Simplify (sqrt(19) + (1*sqrt(19) - sqrt(19)) + 1 + sqrt(1539)*-2 + 0 + -2)**2.
34*sqrt(19) + 5492
Simplify ((sqrt(1260) - (3*sqrt(1260) + sqrt(1260)) - sqrt(1260))/sqrt(500) + -5)**2.
24*sqrt(7) + 1633/25
Simplify -2 + (sqrt(136) + (sqrt(136) - (sqrt(136)*-2 - sqrt(136)))*5 + sqrt(136) - sqrt(136))/(sqrt(64)/(-1*sqrt(8))).
-21*sqrt(17) - 2
Simplify -5 + (sqrt(104)/sqrt(18))/((sqrt(36)*2)/sqrt(9)).
-5 + sqrt(13)/6
Simplify (5*1*(sqrt(325) + -1)*1*5)**2.
-6250*sqrt(13) + 203750
Simplify (6*(-5 + (sqrt(72) - (sqrt(72) + -1)) + sqrt(72) + 2 - (1 + sqrt(72)*1 + sqrt(72)*-2*-3)))**2.
7776*sqrt(2) + 93636
Simplify (0 + sqrt(2299))*-5*3 + -4.
-165*sqrt(19) - 4
Simplify ((-1 + sqrt(245))**2*1 - (sqrt(245) - ((2 + sqrt(245) + sqrt(245) - sqrt(245))**2 + 0)))*-4.
-1980 - 28*sqrt(5)
Simplify 1 + 0 + -1*(sqrt(13)*-3 + -3 + sqrt(13)).
4 + 2*sqrt(13)
Simplify (-4 + (1*sqrt(60)/sqrt(2))/sqrt(6) + -5)**2*4.
-72*sqrt(5) + 344
Simplify -5*(sqrt(91)/(-6*2*sqrt(7)))**2 - (0 + sqrt(13)*-1 + ((1*sqrt(117))/sqrt(9) - sqrt(13)) + sqrt(13) + sqrt(13))**2.
-1937/144
Simplify 3 + (-5 + sqrt(125)*1*-6 + sqrt(125)*2*3 + sqrt(125) + 3)**2.
-20*sqrt(5) + 132
Simplify -2*(-4 + (3*sqrt(80)*2 - (-4 + -1 + sqrt(80) + sqrt(80) + sqrt(80)))**2).
-1482 - 240*sqrt(5)
Simplify (6*sqrt(156)*2*-3)/(sqrt(72)/(sqrt(6) - (sqrt(24)/sqrt(4) - sqrt(6))*4)).
-36*sqrt(13)
Simplify (-1 + 5 + 1 + sqrt(153) + 5 + sqrt(153)*3 + 1)**2.
264*sqrt(17) + 2569
Simplify (((5*(sqrt(204)*-1 - sqrt(204)) - sqrt(204)) + (sqrt(204) - sqrt(204)*-2*-1))/(sqrt(96)/(sqrt(24)/(sqrt(3) + sqrt(108)))))**2.
2448/49
Simplify 3*sqrt(1088) + 0 - ((4 + sqrt(17) - sqrt(17) - sqrt(17)) + -5)*-5.
-5 + 19*sqrt(17)
Simplify (-4 + (sqrt(931) + (sqrt(931) + 0)*1 - (sqrt(931) + 2 + 1)))**2*6.
-588*sqrt(19) + 5880
Simplify (3 + (sqrt(26)/(sqrt(8)/sqrt(4)) - sqrt(13) - (sqrt(468) + 0)))**2.
-36*sqrt(13) + 477
Simplify (5*sqrt(208)*-1*-5 + -5*(sqrt(208) - (sqrt(208) + -1 + sqrt(208))) + -2*sqrt(208) + -4)**2*-4.
-652612 + 8064*sqrt(13)
Simplify (sqrt(180)*-2 + -3)**2 - ((sqrt(500) - sqrt(20))*2)/sqrt(4).
64*sqrt(5) + 729
Simplify 0 + ((sqrt(45)*-3 - sqrt(45)) + 2 + 1)**2.
-72*sqrt(5) + 729
Simplify -2*((2*sqrt(209)*-2)/sqrt(11) - (sqrt(1900) + sqrt(1900) + -1 + sqrt(1900))*-6).
-352*sqrt(19) + 12
Simplify 6*((sqrt(119) - 5*sqrt(119)*-1) + sqrt(119) + (2*sqrt(119)*4 - sqrt(119)))/(-4*1*sqrt(7) + (sqrt(70)*-2)/sqrt(10)).
-14*sqrt(17)
Simplify (sqrt(36)/sqrt(144) + -1*(sqrt(4) - (sqrt(4) - sqrt(16))))/(sqrt(6)/(sqrt(48)*1)).
-7*sqrt(2)
Simplify -6*-1*(-2 + sqrt(19))**2 - (-2*sqrt(76)/sqrt(4) + sqrt(19) + -1 + -1)**2.
-28*sqrt(19) + 115
Simplify -5*((sqrt(1872)*-4 + sqrt(1872))*3 + ((5*(sqrt(13) + sqrt(13) + -2))**2 - 4*sqrt(325))).
-7000 + 1640*sqrt(13)
Simplify -4 + ((6*(1 + sqrt(13)) - sqrt(13) - sqrt(13)) + (sqrt(13) - sqrt(39)/sqrt(3))*-2 - ((-1*(sqrt(13) + 0))**2 + 0)).
-11 + 4*sqrt(13)
Simplify (4 + (sqrt(153) - (sqrt(153) - (-1*-2*sqrt(153) + sqrt(153))) - sqrt(153))/(sqrt(9) + (-3*sqrt(72))/sqrt(8)))**2.
-8*sqrt(17) + 33
Simplify 6*sqrt(52)/(sqrt(4)*-3*-6) + 0.
sqrt(13)/3
Simplify ((6*(sqrt(35) - -4*sqrt(35)))/(sqrt(5) + sqrt(1715)/sqrt(7)))**2.
1575/16
Simplify (sqrt(64)/sqrt(4)*-6 - sqrt(80)/(sqrt(20)/sqrt(4)))/(sqrt(56)/(sqrt(700) + 3*sqrt(700) + sqrt(700))).
-350*sqrt(2)
Simplify (4 + (sqrt(272) + 1 + 3 - (-5 + (sqrt(272) - (-2 + sqrt(272)))**2 + sqrt(272))))*-6.
-54
Simplify (sqrt(78)*2*-5 - -2*sqrt(78)*-1)/(sqrt(18)/(-1*sqrt(48))).
48*sqrt(13)
Simplify ((-6*sqrt(627)/(sqrt(176) + sqrt(11)))/(sqrt(18)/((-2*sqrt(6) + sqrt(6))*6)))**2.
24624/25
Simplify ((sqrt(96) + 3*sqrt(96) + sqrt(96) + sqrt(96))*6)/(sqrt(1728)/sqrt(4)*4).
3*sqrt(2)
Simplify -2 + (2 + (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) + 1)) + sqrt(117)))*1)**2*1.
-18*sqrt(13) + 124
Simplify 2*((5 + sqrt(99) + 2 - sqrt(99)) + 1 + sqrt(99)*2)**2.
192*sqrt(11) + 920
Simplify (-3*sqrt(250)/sqrt(5) - sqrt(150)/(sqrt(27) + sqrt(3)))/((6*2*sqrt(120))/sqrt(12)).
-13*sqrt(5)/48
Simplify (3*sqrt(2112))/(sqrt(99)*4).
2*sqrt(3)
Simplify (2*sqrt(190)*2)/(sqrt(110)/(sqrt(22)/sqrt(2)))*-5.
-20*sqrt(19)
Simplify (3*(sqrt(7) + 0) + -2)**2 - ((sqrt(168)/sqrt(6))**2 - (4*-2*sqrt(7))**2).
-12*sqrt(7) + 487
Simplify 3 + -4*((3 + sqrt(13) + sqrt(13)*2 + sqrt(13) - (-3 + sqrt(13) + -1)) + 2).
-12*sqrt(13) - 33
Simplify (3*(sqrt(99) - -1*sqrt(99))*-5)/(2*sqrt(1296)*-1)*2.
5*sqrt(11)/2
Simplify (1*sqrt(1331) + sqrt(1331) + 2 - (4 + (sqrt(1331) - 2*sqrt(1331)) + sqrt(1331) - sqrt(1331)) - ((sqrt(1331) + 2 + sqrt(1331))*-4 + -4))**2 + 4.
2420*sqrt(11) + 161155
Simplify -2*((3*((sqrt(77)*1 - sqrt(77)) + sqrt(77)))/sqrt(7) + 2 + (sqrt(1100) + 0)**2).
-2204 - 6*sqrt(11)
Simplify (sqrt(66) - (sqrt(66) - (sqrt(66) - sqrt(66)*2*3 - sqrt(66) - sqrt(66))) - sqrt(66))/(sqrt(6) - -3*sqrt(6)*1).
-2*sqrt(11)
Simplify 4*((sqrt(343)*2 + -4)**2 + (sqrt(343) + 4)*-4).
-560*sqrt(7) + 5488
Simplify (sqrt(18) - (sqrt(180)/(sqrt(50)/sqrt(5)))**2)*-3 + sqrt(36)/(sqrt(882)/sqrt(9)).
-60*sqrt(2)/7 + 54
Simplify -5 + -2 + (5*(-1 + sqrt(684))*-2)**2.
-1200*sqrt(19) + 68493
Simplify (5*(sqrt(55) - sqrt(110)/sqrt(2))*2)/((((sqrt(132) - 3*sqrt(132)) + sqrt(132))*5)/sqrt(12)).
0
Simplify ((-1*sqrt(539)*4 + 2*((sqrt(396) - (1 + sqrt(396))) + sqrt(396)))*-4)**2. | {
"pile_set_name": "DM Mathematics"
} |
= 0, -d*q + 2*q - 4*s - 8 = 0 for q.
-4
Let x(u) = 4*u + 18. Let k be x(-8). Let m = k + 18. Solve -q - 4*q = -3*d - 16, -m = -3*q - d for q.
2
Suppose -t + 20 = 25. Let h be (-15)/t - (-3 - -1). Solve h*n + 1 = -5*l - 19, -16 = 4*l - 4*n for l.
-4
Suppose 12*q - 3 - 57 = 0. Solve -5*i - q = -5*o, -2*o - 4*i - i = -2 for o.
1
Let r(w) = -w**3 - 10*w**2 - w - 5. Let g be r(-10). Suppose -33 = -5*c - 4*m, -m - 42 = -g*c - 2*m. Solve 2*h + 4 = -4*x, -3*h + c - 1 = -x for h.
2
Let f = -70 + 73. Suppose 2*r + 28 = 3*r + 5*j, 0 = f*j - 9. Let g be (2/(-4))/((-1)/8). Solve -2*d = -4*t + 6, -5*d + r = g*t - 14 for t.
3
Let q(b) = -5 - 4*b + b - 16. Let u be q(-11). Solve 0 = 2*f - 4*y + 14, y + 5 - u = -3*f for f.
1
Let j(p) = -3*p - 4. Let t be j(-6). Let x = t - 14. Let z be x/(-2 - (-1 + -2)). Solve z = -o - 3*b - 13, 2*o - 2*b = -2*o + 18 for o.
2
Suppose 7*v - 198 = -4*v. Suppose -15 = 13*j - v*j. Solve -d - j*d - 4*x = -12, -5*x = -d - 9 for d.
1
Suppose -p = 0, 2*y - 2*p = 4*y. Suppose -2*f = 5*o, y = -f + 6*f - 3*o. Solve 3*j = -f*v + v - 7, 2*j - 14 = -4*v for v.
4
Suppose 7 = c - 5*y, 0*c - 5*c + 5 = 5*y. Solve -5*m = 2*t - 0*t + 2, -2*t = -3*m + c for m.
0
Suppose -72 = -4*w - 5*w. Solve 4*f - w = 2*f - 2*c, 5*c - 14 = -2*f for f.
2
Let i be -3 - (-23 + -3)*2. Suppose -5*x = 25, c - 2*x = -2*c + i. Let d = c - 12. Solve -3*l = 2*l + 5*b + 10, -2*l = b + d for l.
1
Suppose 8*s + 48 = 2*s. Let q be 12/s - (-45)/10. Solve 3*g + 4 = -5*b, 1 = -3*b - g - q for b.
-2
Let w(k) = k + 1. Let r(c) = c**2 + 16*c + 26. Let p(y) = -r(y) - w(y). Let f be p(-15). Solve -3*q = 2*d - q + 2, -f*d - q - 5 = 0 for d.
-2
Let j = 582 - 577. Solve -j*h = w + 18, 7*h - 3*h + 24 = 4*w for w.
2
Let a be 5 - (-4 - 2 - -5). Solve d - 2*d = -4*c - 10, 4*c = -d - a for d.
2
Suppose 136 = 4*n - 20. Let h = n + -34. Solve 0 = 2*g - 3*s + 11, -2*s = h*g - 4*s for g.
2
Let z be 27/36 + (-334)/8. Let a = -34 - z. Solve i + 3*u + a = 0, -3*u + 0 = -4*i + 2 for i.
-1
Let g be 9*(-4 - (-42)/9). Suppose -2*w - 2 = 4*h, w + 1 - g = h. Solve 0 = -3*a + v + 3*v + 17, w*v = -6 for a.
3
Suppose 2*t - 18 = -w - w, 3*w - 4*t - 41 = 0. Solve 0*k = 2*k + j - w, k = 2*j - 7 for k.
3
Let l be -1 + (6 - (7 + -4)). Suppose -q = -0*q - 3*v - 24, 0 = -l*q - v + 48. Let g be 78/q - 2/8. Solve -5*y + 3 = -g*h - 2, -y - 2*h = -14 for y.
4
Let x(v) = v**2 - 2*v. Let o be x(3). Let g be (19 + (-25)/5)/((-1)/3). Let c = 46 + g. Solve -c*n = 3*z + 3 - 0, o*z - 5*n + 3 = 0 for z.
-1
Suppose -6*q = -8*q + 34. Let c = q + -13. Let r be (c/4 - -1)/1. Solve -r*b + 8 - 2 = s, 0 = b - 3 for s.
0
Let v be ((-5)/(1 + -2))/1. Suppose 20 = v*a - a. Suppose 0 = a*y + 5, -4*c - 4*y + 6 = c. Solve -3*s = -l - 19, s - 33 = -4*s + c*l for s.
5
Let v = 50 - 50. Solve v = r - 3*x + 5, r - 2*x + x = -1 for r.
1
Suppose 2*h + 3 = 3*h. Suppose -p + h = -1. Solve -2*l = 3*f, p*f + 4 + 7 = l for f.
-2
Let d = 104 + -101. Let a be (3/d)/((-26)/14 + 2). Solve 3*w - x - 7 = a, 2*w = -4*x for w.
4
Suppose 49 = -3*h - 47. Let m be (-162)/8*h/6. Suppose -q - 2*q = -m. Solve 4*w - 4*c = -q, 4*w + 3*c = -4 - 4 for w.
-5
Suppose 17*x = 2*u + 14*x + 9, -x = -5. Solve 0 = -u*j + 15, 17 - 4 = -l + 2*j for l.
-3
Let z(y) = -y + 4. Let u be z(4). Suppose 4*l - q = 3 - 19, 3*l + 12 = 3*q. Let n be 32/14 - l/(-14). Solve u = 3*j - b - 10 - 1, 3*j - n*b - 7 = 0 for j.
5
Let r = -310 - -315. Solve 4*x + 20 = 0, 3*x + 1 + 14 = -r*y for y.
0
Let h(v) = 2*v**2 - 7*v + 5. Let r be h(4). Let a = 24 - r. Let d(j) = j - 3. Let k be d(3). Solve 5*c - 4*y - a = 0, 0 = -c - k*y + 4*y + 3 for c.
3
Let f(y) = y**3 + y**2 + 12. Let d be f(-3). Let g(w) = -3 + 4*w**2 - 12 - 5*w**2 - 9*w. Let v be g(d). Solve -20 = -5*l + r, -2*l + 5 = -5*r - v for l.
4
Let z = 31 - 31. Suppose -h + 66 = 3*h + 2*b, -h + 9 = 2*b. Suppose 4*q - 5*f - h = 1, -f = 0. Solve -5*u = q*n + 16 + 19, n + 5 = z for u.
-2
Suppose -4*j + 5*f + 65 = 0, j + 3*f - 10 = -2*f. Solve 5*s - j = -2*c, 3*c = -4*s + 8*c + 45 for s.
5
Let x be 18/6 + -4 - -4. Solve -x*l = -3*n - 6, -l + 5 = -0 for n.
3
Let p(f) = -f**3 - 16*f**2 - 29*f - 11. Let r be p(-14). Let l = -11 + 22. Solve l = -3*u - 4*s, -2*u - r*s = u + 9 for u.
-1
Suppose -22*c + 108 = -332. Solve -4*m = -3*k + 23, -4*m + 9*m + c = 2*k for m.
-2
Let s = 1363 - 1359. Solve 0 = -s*y - 5*r + 2, 11 = 5*y - 2*y - r for y.
3
Let p(c) = 2*c**2 + 10*c - 8. Let m be p(-6). Solve 0 = -g - 2*w - 1, 0 = 2*g + 4*w - w + m for g.
-5
Suppose -91*u + 188 = -44*u. Solve -16 = -4*r + 4*f, -4*f + 0 = -u for r.
5
Suppose -4*n + k - 13 = 0, 5*k = 5 - 20. Let a be -1*(-22 + n) - 4. Solve 2*w - 4*g - a = 0, -w + 4*w = -g + 12 for w.
5
Let n(m) = 38*m**2 - 1142*m + 64. Let z be n(30). Let s be (-1 - 0) + (1 - -1). Solve 3*p - r + 1 = 0, 5*r = z*r + s for p.
0
Let p(f) = -49*f + 351. Let w be p(7). Solve -7*a - w = -5*a + 4*z, 3*z = 5*a - 19 for a.
2
Let t be 2 + (-7 - (1 - 1)). Let m = t + 8. Suppose 287 = 2*p - 5*w + 200, -4*w = 20. Solve 2*b + 4 = 4*b + m*h, 0 = -5*b + 3*h + p for b.
5
Suppose -y - 3*l = -28, 0 = -3*y + 3*l + 2*l + 14. Suppose -12*k = -y*k + 16. Solve -j - p = 4*p - k, -5*j = -4*p + 7 for j.
1
Suppose -2*r - 30*r = 12*r. Solve h + 2*k = 0, 4*h - k = -r*k - 18 for h.
-4
Let b = -54 + 36. Let y = 23 + b. Solve -11 = -2*p + 5*v, 0*v - y*v = -p + 13 for p.
-2
Suppose 17*m - 8*m = 27. Let g be 81*(48/(-18) + m). Let v be (-4)/(-18) + 212/18. Solve 5*y + v = -s, 0 = 4*y - 5*s - 0*s + g for y.
-3
Suppose 0 = 2*j - j - 26. Let y = 46 - j. Suppose y = 7*p - 2*p. Solve -26 = -3*n - b + 6*b, p*b + 20 = 2*n for n.
2
Let t(p) = -2*p**3 - p**2 - 5*p - 5. Let w(c) = c**3 - c**2 + 1. Let n(i) = -t(i) - 3*w(i). Let x be n(5). Solve 2*s - x*z = 0, -10 = -z + 6*z for s.
-2
Let o(s) = 50*s + 203. Let c be o(-4). Solve 3*z - c = -5*x - 1, 0 = 4*z + 2*x + 2 for z.
-1
Let b = 589 - 587. Solve 0 = q + 3*g + 2, 2*q - g = -b*g + 6 for q.
4
Let f be 5 + (-2)/(4/4). Suppose -k = y - 14, -4*k = -f*y - 0*k + 28. Suppose 3*i - y = -3*i. Solve 0 = -5*p + 20, -r - i*p = -4 - 2 for r.
-2
Let a(f) = 8*f**2 + 79*f - 5. Let u be a(-10). Solve 0*t - 3*t = -4*o - 22, -u*t = 5*o + 10 for o.
-4
Let t be 20*4/(-3 + 11). Suppose t*w + 24 = 13*w. Let r(j) = j - 2. Let v be r(5). Solve s + v*d - 21 = -s, d = -s + w for s.
3
Suppose r + j = 3, 0*j = r - j - 5. Suppose 0 = r*c - 6*c + 6. Solve -o + c*o + 1 = -h, -3*o = -4*h - 26 for o.
2
Suppose 6*s = 18 + 6. Suppose 0*w = -s*w. Let d = -8 + 13. Solve 3*v - d*u + 25 = w, 3*v - 2 = 5*v + 4*u for v.
-5
Let z(v) = v**3 - v**2 - 5*v + 2. Let n be z(3). Suppose 5*d = h - 10 - 7, n*d + 11 = 3*h. Let g = 5 + h. Solve 2*a - 5*s - 16 = -g*s, 4*a + 3*s = -4 for a.
2
Let y be (-92)/(-28) + (0 - (-8)/(-28)). Solve y*u = 5*c + 3, -3*u + 0*c = 2*c + 18 for u.
-4
Let o = -61 + 61. Suppose 0 = 2*c - 7 + 3. Solve -4*g = -o*g + c*a - 4, 2*g + 5*a + 6 = 0 for g.
2
Suppose x = -0*x + 2. Suppose x*i - 4*i = -10. Solve -3*v + 6*v = -i*q - 11, -15 = 5*q + 5*v for q.
-1
Let n be (-2 - 5/(-2))*2*7. Let a(f) = -f**2 - 7*f + 4. Let m be a(-7). Solve 3*w + n + 24 = -m*s, s = -4*w - 24 for w.
-5
Let b be 8*(1 - 1 - -1). Solve 3*y = 3*z - 12, 2*z + b = -2*y + z for y.
-4
Let i(v) be the first derivative of 5*v**2/2 - 2*v + 14. Let n be i(1). Solve 2 = -2*r - 4*y, r + 6 = n*r - 4*y for r.
1
Let d(y) = y**2 + 8*y - 3. Let h = 73 - 83. Let u be d(h). Solve 0*c - u = x - 4*c, -3*c + 3 = -4*x for x.
3
Suppose -4*m - p + 2 = 0, 0 = 2*m + 2*p + 2 - 0. Let k(i) = 2*i - 2. Let s be k(m). Solve s = 5*b + 4*d - 0 - 15, 3*d - 16 = b for b.
-1
Suppose 0 = 18*p - 16*p - 20. Solve -p + 3 = j - 3*d, j = 4*d - 10 for j.
2
Let j be 80/(-5)*3/(-4). Suppose j - 4 = i - l, 0 = -3*l - 12. Suppose 0 = 2*y + y - 3. Solve -i*s - 3*b = -2*s + 1, -2*b - y = s for s.
1
Suppose 3*b - 28 - 8 = 0. Let z be ((-32)/b)/((-2)/3). Suppose -h - z = -5*f - 3, 3*h + 3*f - 15 = 0. Solve -u + 5*u + 8 = 4*k, h*k - 5 = u for k.
1
Suppose 0 = -7*v + 10*v. Suppose v = -2*f - 5*f. Solve f = 2*g - 2, -16 = -8*i + 3*i + 4*g for i.
4
Suppose -l = -2*s + 4, 11*s - 6 = 8*s - 5*l. Solve -3*m = i + 9, -m = -2*i - s + 5 for i.
0
Let n be 4 - ((-3)/6)/(4/8). Solve 5*c - 2*t - 11 = 0, -n*t + 8 = 4*c - 14 for c.
3
Let r(u) = u**2 + 19*u + 42. Let z be r(-17). Suppose 4*v = -n + v + 11, -4*n = -v - 5. Solve -n*f - | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 2 q and 1 s when three letters picked without replacement from {z: 1, o: 6, s: 6, m: 2, q: 3}.
3/136
Three letters picked without replacement from {q: 4, g: 2, b: 5, x: 1, m: 2}. What is prob of picking 2 b and 1 q?
10/91
Calculate prob of picking 1 u, 1 a, and 1 i when three letters picked without replacement from {i: 2, a: 1, u: 1, w: 1}.
1/5
Calculate prob of picking 1 d, 1 y, 1 n, and 1 j when four letters picked without replacement from {d: 2, j: 1, y: 1, n: 1}.
2/5
Calculate prob of picking 1 m, 1 e, 1 i, and 1 a when four letters picked without replacement from {i: 2, a: 1, e: 1, o: 1, m: 2}.
4/35
What is prob of picking 2 n when two letters picked without replacement from {n: 4, m: 2}?
2/5
Two letters picked without replacement from gkkkgkkgkggkkgkg. Give prob of picking 2 g.
7/40
What is prob of picking 3 f and 1 g when four letters picked without replacement from {g: 2, q: 1, a: 1, f: 3}?
2/35
Two letters picked without replacement from ofapoaatpo. Give prob of picking 1 t and 1 o.
1/15
Four letters picked without replacement from wcwcllcccwclclwc. Give prob of picking 1 w and 3 c.
8/65
Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {m: 6, h: 6, z: 3}.
3/91
Calculate prob of picking 1 j and 1 s when two letters picked without replacement from jjsh.
1/3
Calculate prob of picking 4 e when four letters picked without replacement from eoeoeoeeoeoooeee.
9/130
What is prob of picking 2 u and 1 k when three letters picked without replacement from {u: 5, k: 4, q: 8}?
1/17
Calculate prob of picking 2 s when two letters picked without replacement from essseseeeeeeeeseese.
5/57
Three letters picked without replacement from wwwssswsww. What is prob of picking 1 s and 2 w?
1/2
What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 9, h: 7}?
21/40
Three letters picked without replacement from {k: 6, b: 3, y: 4}. Give prob of picking 3 b.
1/286
Four letters picked without replacement from obbobbbncbobcc. Give prob of picking 1 b, 1 n, and 2 c.
3/143
Three letters picked without replacement from utuvvqoh. What is prob of picking 1 o, 1 t, and 1 q?
1/56
What is prob of picking 1 k and 1 c when two letters picked without replacement from kcclklkllkzxxll?
8/105
Three letters picked without replacement from {v: 12, x: 1, o: 2, g: 2, c: 1}. Give prob of picking 3 v.
55/204
Two letters picked without replacement from {e: 3, j: 1, l: 4, i: 9, f: 1}. Give prob of picking 1 j and 1 l.
4/153
Three letters picked without replacement from {y: 3, a: 5, b: 1, o: 3}. Give prob of picking 3 o.
1/220
Calculate prob of picking 1 r and 1 w when two letters picked without replacement from crwcc.
1/10
What is prob of picking 1 c and 1 b when two letters picked without replacement from ccsccsbbccccsccs?
1/6
What is prob of picking 1 x and 1 a when two letters picked without replacement from wwxwrarwrar?
2/55
What is prob of picking 2 c when two letters picked without replacement from cggc?
1/6
Three letters picked without replacement from {a: 2, j: 2, s: 1, w: 1, h: 5, o: 4}. What is prob of picking 2 a and 1 o?
4/455
Two letters picked without replacement from dxkxkudxxdkdkxxdxk. What is prob of picking 2 k?
10/153
What is prob of picking 1 m and 1 g when two letters picked without replacement from mymqmqmgg?
2/9
What is prob of picking 4 h when four letters picked without replacement from {w: 6, h: 9, s: 2}?
9/170
Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {u: 2, c: 6, t: 6, d: 2, p: 1}.
9/68
Two letters picked without replacement from {j: 1, g: 1, x: 2, e: 2, d: 1}. What is prob of picking 1 g and 1 j?
1/21
What is prob of picking 1 f, 1 x, and 2 s when four letters picked without replacement from {u: 1, s: 2, x: 1, l: 1, d: 1, f: 1}?
1/35
Calculate prob of picking 1 e and 3 f when four letters picked without replacement from {r: 5, l: 4, f: 5, e: 1}.
2/273
What is prob of picking 1 v and 1 l when two letters picked without replacement from {d: 1, l: 1, n: 1, v: 1, f: 1}?
1/10
Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {l: 11, h: 4, a: 3, d: 1}.
4/171
What is prob of picking 1 s and 1 g when two letters picked without replacement from dsdgddddddgsddd?
4/105
Two letters picked without replacement from qbqqdoudqq. Give prob of picking 2 d.
1/45
Three letters picked without replacement from {b: 11, v: 2, o: 1, g: 1, l: 5}. What is prob of picking 1 g, 1 l, and 1 v?
1/114
Two letters picked without replacement from rrrmetrteeeeoeozr. What is prob of picking 1 t and 1 o?
1/34
Four letters picked without replacement from {a: 3, f: 7}. Give prob of picking 4 f.
1/6
What is prob of picking 1 f and 2 v when three letters picked without replacement from lfvlvvvffflvfvvvf?
21/85
What is prob of picking 1 e and 1 h when two letters picked without replacement from hpbuceb?
1/21
Two letters picked without replacement from exxeeexeeee. What is prob of picking 2 x?
3/55
What is prob of picking 1 b, 1 l, and 1 g when three letters picked without replacement from {l: 1, g: 11, v: 4, b: 2, k: 1}?
22/969
Calculate prob of picking 2 f when two letters picked without replacement from ccccccfcccfcc.
1/78
Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mjjjcmmm.
2/35
Four letters picked without replacement from {k: 1, f: 1, w: 1, a: 1, y: 1}. Give prob of picking 1 f, 1 y, 1 k, and 1 a.
1/5
Calculate prob of picking 4 b when four letters picked without replacement from ggbgbgbbggggggbbbgg.
35/3876
Two letters picked without replacement from nnssnfuun. What is prob of picking 2 n?
1/6
Four letters picked without replacement from {u: 1, m: 2, x: 1, l: 4, c: 1}. Give prob of picking 4 l.
1/126
What is prob of picking 2 m and 1 o when three letters picked without replacement from {m: 2, a: 1, o: 3, e: 13}?
1/323
Four letters picked without replacement from {w: 4, l: 2, x: 1, j: 10}. Give prob of picking 3 w and 1 x.
1/595
Calculate prob of picking 4 d when four letters picked without replacement from dfdddwdddwf.
7/66
Two letters picked without replacement from {w: 6, s: 2, p: 3, n: 1, j: 4}. What is prob of picking 1 s and 1 w?
1/10
What is prob of picking 2 u when two letters picked without replacement from umuuuuumuu?
28/45
Three letters picked without replacement from eotezezzoozkzkzt. Give prob of picking 1 e and 2 t.
3/560
Two letters picked without replacement from rsssrssssss. Give prob of picking 1 r and 1 s.
18/55
Two letters picked without replacement from ccccaca. Give prob of picking 2 c.
10/21
Three letters picked without replacement from {o: 6, p: 6}. Give prob of picking 3 o.
1/11
Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {p: 3, w: 2}.
3/5
What is prob of picking 1 t, 1 u, and 2 h when four letters picked without replacement from {t: 3, h: 6, u: 3, s: 5}?
27/476
Three letters picked without replacement from rffrngrgrfnf. Give prob of picking 2 g and 1 n.
1/110
Calculate prob of picking 1 d, 1 m, 1 p, and 1 s when four letters picked without replacement from zympdzs.
1/35
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 3, u: 13}.
13/40
What is prob of picking 2 k when two letters picked without replacement from {z: 1, k: 11}?
5/6
What is prob of picking 1 f, 2 h, and 1 n when four letters picked without replacement from {d: 1, h: 2, n: 2, f: 1, t: 1}?
2/35
What is prob of picking 1 x and 1 a when two letters picked without replacement from xxxxxxaxxaxxax?
33/91
Two letters picked without replacement from {k: 1, z: 1, m: 13}. Give prob of picking 2 m.
26/35
Three letters picked without replacement from inrfwfnw. What is prob of picking 1 i and 2 w?
1/56
Two letters picked without replacement from gpppgpgipipppkipippp. What is prob of picking 2 i?
3/95
Three letters picked without replacement from vyyyyoyynvvnyvy. Give prob of picking 1 o and 2 v.
6/455
Four letters picked without replacement from mmmmsmkmmsssss. Give prob of picking 1 k, 2 m, and 1 s.
18/143
Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 7, k: 1}.
1/4
Three letter | {
"pile_set_name": "DM Mathematics"
} |
-8*m(b) + 3*n(b)?
-136*b**3 - b
Let d(x) = -2*x + 21. Let q(h) = h. Give -2*d(v) - 6*q(v).
-2*v - 42
Let p(x) = -x**3 - x**2 - 3. Let n(o) be the second derivative of o**5/20 + o**4/6 - o**3/6 + 5*o**2/2 + o - 777. Calculate 3*n(t) + 5*p(t).
-2*t**3 + t**2 - 3*t
Let i(w) = 2*w**2 + 0*w + 6*w - 3 + 0*w - 12*w + 10*w. Let d(b) = b - 1. Determine 6*d(x) - i(x).
-2*x**2 + 2*x - 3
Let j(p) = -6*p**2 - 9*p + 13. Suppose -15*i + 17*i = 52. Suppose 5*w - i - 31 = 4*y, 0 = w - 3*y - 18. Let r(t) = 3*t**2 + 4*t - 6. Determine w*r(s) + 4*j(s).
3*s**2 - 2
Let g(z) = 9*z**2 + 15*z + 15. Suppose -141 + 53 = -22*u. Let p(k) = 2*k**2 + 4*k + 4. Calculate u*g(n) - 15*p(n).
6*n**2
Let l(t) = 1. Let y(i) = 3*i + 4. Let s = 7 + -2. Let q be (-2)/12 - -3*(-186)/(-108). Let d be -2*q/40 + (-6)/8. Give d*y(f) + s*l(f).
-3*f + 1
Let c(w) = -24 + 7 + w + 3*w + 7 + 9. Let b(a) = -11*a + 3. Calculate 3*b(s) + 8*c(s).
-s + 1
Let s(z) = 4*z - 52*z**3 + 4*z**2 - 2*z**2 - z + 50*z**3 + 0*z**2. Let a(j) = -4*j**3 + 5*j**2 + 6*j. What is 2*a(o) - 5*s(o)?
2*o**3 - 3*o
Let b(w) = w - 84. Let a(j) = -8. Calculate -4*a(k) - b(k).
-k + 116
Suppose 4*d = -3*h - 0*h + 44, 4*h - 42 = -2*d. Let b(t) = -6*t**3 - 9*t**2 + 8*t - 14. Let r(u) = 4*u**3 + 6*u**2 - 5*u + 9. What is h*r(s) + 5*b(s)?
2*s**3 + 3*s**2 + 2
Let d(c) = -219*c**3 - 5*c + 5. Let v(i) = -17850*i**3 - 408*i + 408. What is -408*d(u) + 5*v(u)?
102*u**3
Let l(y) = 3*y - 2. Suppose -25 = h - 28. Let t(f) = 10 - 10 - 3 + 2*f + h*f. What is -7*l(g) + 4*t(g)?
-g + 2
Let g(k) = 3*k + 1. Let y(h) = 3*h + 1. Let u(j) = 5*g(j) - 4*y(j). Suppose 4*o = -88*n + 93*n + 7, 4*o = -5*n - 23. Let v(s) = s. What is o*v(b) + u(b)?
b + 1
Let p(u) = -20*u - 20. Let g be (1 - 2)/2 + 110/20. Let a(l) be the third derivative of -7/24*l**4 + 0 + g*l**2 - 7/6*l**3 + 0*l. What is -14*a(q) + 5*p(q)?
-2*q - 2
Let x(c) = 44 + 35 + 32 - 100 - c. Suppose -3*u - 6 = -3*k, 0*u = -3*u + 15. Let b(o) = -5. Give k*b(n) + 3*x(n).
-3*n - 2
Let p(m) = 15*m**2 - 7*m - 13. Let o(q) = 13*q**2 - 6*q - 10. Determine 4*o(a) - 3*p(a).
7*a**2 - 3*a - 1
Let o(v) = v**2 - 7*v + 8. Let t(b) = -b + 1. Suppose 5*k = -d, -9*k + 4 = -8*k + d. What is k*o(s) + 6*t(s)?
-s**2 + s - 2
Let w(a) = -a - 4. Let l(p) = -4*p - 9. Let n(o) = 2*o + 4. Let g(q) = -4*l(q) - 7*n(q). Calculate -3*g(t) - 5*w(t).
-t - 4
Let q(g) = 8*g - 10. Let m(h) = -3*h + 4. Calculate -7*m(n) - 3*q(n).
-3*n + 2
Let p(c) = 2172*c**2 + 1810*c - 3620. Let v(n) = -n**2 - n + 2. Calculate -p(k) - 1810*v(k).
-362*k**2
Let b(d) = 20*d**2 + 32. Let v(t) = -3*t**2 - 5. Let u = 42 + -46. Let w = u + -1. Calculate w*b(r) - 32*v(r).
-4*r**2
Let t(n) = -2*n**2 - 2*n + 1. Let k(o) = 348*o**2 + 9*o - 4. Calculate -k(p) - 4*t(p).
-340*p**2 - p
Let t(u) = 1642*u**3 - 7*u**2. Let y(c) = -1095*c**3 + 5*c**2. Give -5*t(x) - 7*y(x).
-545*x**3
Let l(v) = -v + 57 + 39 - 146 + 49. Let n(x) = x + 6. Determine l(s) - n(s).
-2*s - 7
Let q(s) = -2*s + 1. Let m(n) be the second derivative of 4*n**3/3 - 5*n**2/2 - n. Let t = 698 - 696. Give t*m(f) + 9*q(f).
-2*f - 1
Let s(a) = -54*a**3 - 117. Let i(l) = -l**3 - 2. What is -45*i(u) + s(u)?
-9*u**3 - 27
Let n(w) = -34*w. Let q(g) = g + 1. Calculate -n(u) + 2*q(u).
36*u + 2
Let o(j) = 18*j**2 - 6*j - 4. Let w(d) = 35*d**2 - 11*d - 7. Let l be ((3696/(-72))/22)/((-1)/3). Calculate l*o(z) - 4*w(z).
-14*z**2 + 2*z
Let y(x) = -3*x. Let a = 166 + -164. Let v(m) be the third derivative of 0*m**3 + 0*m + 1/4*m**4 + 0 + 3*m**a. Calculate 3*v(o) + 5*y(o).
3*o
Let x(d) = -d**3 + 6*d**2 + 6*d + 6. Let i(p) = p**2 + p + 1. Suppose -2*z + 10 = -0*z, 4*z = o + 19. Calculate o*x(v) - 6*i(v).
-v**3
Let k(l) = 2*l**3 - 4*l - 4. Let a(b) = b**3 + 239*b - 116*b - 3 - 126*b. Suppose -i - 4 = -0. Calculate i*a(z) + 3*k(z).
2*z**3
Let l(z) = -8*z**2 - 4*z + 7. Let k(s) = -10*s**2 - 5*s + 7. What is -2*k(o) + 3*l(o)?
-4*o**2 - 2*o + 7
Let x(r) = 21*r**2 + 3*r. Let f(b) = -78 + 42 + 36 - b. Calculate 3*f(t) + x(t).
21*t**2
Suppose 0 = 3*i - 5*i - 8. Let t be -7*(i/28 - -1). Let s(l) = -6*l**2 + 5. Let o(b) = 7*b**2 - 6. Give t*s(j) - 5*o(j).
j**2
Let s(v) = -2*v**2 + 5. Let p be (-93)/(-6) + (-51)/34. Let d(t) = 6*t**2 - 14. Determine p*s(y) + 5*d(y).
2*y**2
Let y(w) = 2*w**2 + 3. Let a(v) = v**2 + 2. Suppose 47 = 8*h - 25. Suppose h*x - x + 40 = 0. What is x*a(t) + 4*y(t)?
3*t**2 + 2
Suppose -l = -3*f - 13, -7 = 2*l - 4*f - 27. Let a(b) = b**3 - 3*b**2 - 7*b + 7. Let p be a(4). Let k(r) = -r + 3. Let c(d) = -d + 4. Give l*c(v) + p*k(v).
v + 1
Let o(n) = 6*n**2 + n - 2. Suppose -2*s + 4 = -4. Let h(z) be the second derivative of -z**4/12 + z**2/2 - 2*z - 1. Determine s*h(b) + o(b).
2*b**2 + b + 2
Let s(k) = -6*k**3 + 2*k**2 + k. Let y(w) = 14*w**3 + w**2 - 1. Let g be y(1). Let a = g - -7. Let m(o) = -a*o + 21*o + o**3. Calculate 4*m(d) + s(d).
-2*d**3 + 2*d**2 + d
Let w(d) = -3*d**2 + d + 235. Let l(n) = n**2 - 78. Calculate 7*l(g) + 2*w(g).
g**2 + 2*g - 76
Let p(t) = -4*t**3 - 6*t**2 - 2*t - 1. Let k(j) = -4*j**3 - 5*j**2 - j - 1. What is -4*k(x) + 3*p(x)?
4*x**3 + 2*x**2 - 2*x + 1
Let c(m) = 3*m**3 + 41*m**2 - 15*m - 9. Let r be c(-14). Let z(l) = 7*l - 14. Let x(u) = -5*u + 9. Give r*z(p) + 8*x(p).
-5*p + 2
Suppose -8*n + 25 = -3*n. Let c(g) = -2*g**2 - 3*g. Let q(x) = -3*x**2 - 4*x. Let p = 37 + -41. What is n*c(j) + p*q(j)?
2*j**2 + j
Let t(h) = 4*h + 1. Let y(q) = 6*q - 7. Let r(s) = s - 1. Let c(l) = 14*r(l) - 2*y(l). Give 5*c(d) - 2*t(d).
2*d - 2
Suppose 42 - 9 = -3*x. Let y(z) = 5*z**2 - 5*z + 8. Let w(d) = -2*d**2 + 2*d - 3. Suppose -4*p - 4 = -3*j, 46*j + 4 = 41*j + 4*p. What is j*y(a) + x*w(a)?
2*a**2 - 2*a + 1
Let p(z) = -2*z**2 - 10*z + 1. Let k(i) = 3*i**2 + 17*i - 2. Let u(t) = 3*k(t) + 5*p(t). Let y(b) = -b**3 + 5*b**2 - 8*b + 2. Calculate -5*u(g) - y(g).
g**3 + 3*g + 3
Let l = -666 + 1266. Suppose -12*z + 6*z + l = 0. Let s be ((-1)/2)/(10/z). Let v(p) = -4*p**2 + 6*p. Let a(c) = 3*c**2 - 5*c. Determine s*v(o) - 6*a(o).
2*o**2
Let j(t) = -78*t**2 + 27*t + 27. Let l(s) = -48*s - 55*s - 2 + 6*s**2 + 101*s. Give -2*j(u) - 27*l(u).
-6*u**2
Let m(o) = -240*o**3 + 10*o + 10. Let p(s) = -80*s**3 + 3*s + 3. Determine -6*m(r) + 20*p(r).
-160*r**3
Let t(c) = -c - 9. Let o(v) = v. Determine -o(y) + t(y).
-2*y - 9
Let f = -5 - -10. Let a(m) = -3*m**3 + 5*m**2 + 1. Let u(s) = -1 - 18*s**2 + 3*s**3 + 30*s**2 - 18*s**2. Calculate f*u(n) + 6*a(n).
-3*n**3 + 1
Let r(c) = 153*c - 4. Let a(k) = 305*k - 10. What is 2*a(y) - 5*r(y)?
-155*y
Let m(n) = 3*n**2 + 4*n. Suppose -r + 48 = -13*r. Let t(d) = -14*d**2 - 21*d. Determine r*t(q) - 21*m(q).
-7*q**2
Let j(s) = -2*s. Let p(t) = 27 - 27 + 7*t - 3*t. Let v be 1*-10*(-1)/(-2). Determine v*j(l) - 2*p(l).
2*l
Let k(c) = -3*c**2 + 36*c - 5. Let m(u) = -u**2 - 1. What is k(n) - 5*m(n)?
2*n**2 + 36*n
Suppose -280 + 240 = -10*r. Let w(m) = m**3 - m**2 - 1. Let u(g) = -2*g**3 + 4*g**2 + 6*g + 4. Give r*w(k) + u(k).
2*k**3 + 6*k
Let y(j) = -23*j**3 - 4*j**2 + 11*j - 2. Let r(l) = -92*l**3 - 18*l**2 + 44*l - 9. What is 2*r(w) - 9*y(w)?
23*w**3 - 11*w
Let g(a) = -8*a - 252. Let z(p) = 2*p + 57. Let d(c) = -5*g(c) - 22*z(c). Let x(n) = 0*n + n + 0*n - 1. Let j be -7*6*(-2)/14. Determine j*x(q) + d(q).
2*q
Let v(c) = -c**2 - 27*c - 43. Let f be v(-25). Suppose 0 = 9*n + f + 47. Let q(m) = 4*m - 10. Let t(k) = 5*k - 11. What is n*t(h) + 7*q(h)?
-2*h - 4
Let d(i) = -10*i**3 - i. Let r(a) = -10*a**3 - a**2 - a. Calculate 4*d(y) - 5*r(y).
10*y**3 + 5*y**2 + y
Let k(m) = 3*m**2 - 5*m - 6. Let q(r) = -r**2 + 2. What is k(g) + 4*q(g)?
-g**2 - 5*g + 2
Let u(g) be the third derivative of g**4/6 - 5*g**2 + 25*g. Let p(a) = -2*a. Suppose 8 = -4*h + 24. Calculate h*u(d) + 9*p(d).
-2*d
Let r(b) = -42*b + 5. Let o(f) = 85*f - 11. What is 2*o(a) + 5*r(a)?
-40*a + 3
Let a(d) be the second derivative of 7*d**3/6 - 7*d**2/2 - 3*d + 14. Let p(b) = -4*b + 4. Determine -6*a(s) - 11*p(s).
2*s - 2
Let c(b) = b + 3. Let v(n) = -3*n - 8. Let p(w) = -7*c(w) - 2*v(w). Let g(m) = -5 + 0 + 6. Let z = 35 - 36. Give z*p(r) - 5*g(r).
r
Let f(x) = x - 4. Suppose 5*v - 2 = 4*n - 1, 0 = -2*v + 5*n - 3. Let s(m) = -1. Let o(z) = -2. Let r(l) = -3*o(l) + 5*s(l). Give v*f(t) + 3*r(t).
t - 1
Let l(i) = i. Let t(x) = 1. Let f(r) = 2*r**2 + r. Suppose -4*z = -20, 6*c = 3*c - 3*z + 12. Let m be f(c). Calculate m*l | {
"pile_set_name": "DM Mathematics"
} |
-126)/(-12))).
37
What is the value of (325/15 + -20)*2/30 + (-65)/18?
-7/2
-16*((-3905)/770)/(-71)
-8/7
Calculate (8542 + -8541)*(17/(-5))/(-1).
17/5
Calculate (1027 + -1029)/((-34)/(-18) + -5 + 5 + -1).
-9/4
What is (-8760)/365 + (3 + 6)/((-9)/(-12))?
-12
Calculate (-98)/(-7) - 85*5184/31500.
2/175
(-48)/(-10)*(-5)/(-6)*(34 + (-4152)/120)
-12/5
Calculate (11/66)/(3/(-4)) + 32120/(-3285).
-10
What is the value of ((-2404)/150 + 25 + -9)/(11/(-165))?
2/5
5622090/(-66999) + ((-24)/(-92))/(-3)
-84
Evaluate (9/20 + 1/(-4))*(-131 + 113 - -208).
38
What is the value of 8 - ((-2)/(-4) + 420/(-56))?
15
What is the value of (297/(-6))/(-11)*153/(-1836)?
-3/8
Calculate (27*1/9)/(108/1548).
43
Evaluate (15/10)/((-498)/(-29216)).
88
87/58*6*(-14)/567
-2/9
What is the value of (-423*42/756)/(3/(-6))?
47
What is the value of 93 + 24 + 60 + -87?
90
What is (1 - 0) + (-9168)/384 - (63/56 + -1)?
-23
What is (26 + 3116/(-205))*(-5)/(-2)?
27
Calculate (-22)/(-3366)*-18*78/(-52)*6/9.
2/17
((-33)/(-5))/((-15972)/(-29040))
12
What is the value of (-29 + -1)*(1265/(-990) + 64/36 + -2)?
45
((-10)/(-5)*24)/(1518/(-1012))
-32
Calculate 4263*73/13797 - 22.
5/9
Evaluate ((-2465)/(-255) - 48)/((-5)/3).
23
Evaluate (-1512)/42300*5 - 16/(-80).
1/47
Evaluate (-23)/(-31970)*160/(-8).
-2/139
Calculate ((203 - -6) + 16)*45/(-525)*7.
-135
What is the value of (14 + (-987)/14 + 7)*(266/(-30) + 9)?
-33/5
What is 76/12 + 14/(-42)*(12 - 11)?
6
-3 - (-1)/(-11) - 7296/(-6688)
-2
Evaluate ((-38)/(-5))/(116/(-290)) + 11 + (-33)/(-4).
1/4
What is the value of (-1435)/14*(-14)/(-35) + 14?
-27
Evaluate (-1 + 2)/(144/408 + (-14255)/170).
-2/167
Evaluate ((-2)/(-4))/(20/(-30) + 0) - 10764/(-19344).
-6/31
What is the value of (11868/32336)/((-1702)/(-296))?
3/47
(180/224)/(-3)*(-80)/2400*24
3/14
Evaluate (-918748)/(-211596) + (-1 + 1 - (-39)/(-9)).
2/231
Calculate 29/(638/(-132)) + 39.
33
Calculate 56935/136644*1/(15/44).
11/9
Evaluate 482/(-68) + 32510/55267.
-13/2
Evaluate 45/5 + ((-430)/4945 - 234/(-46)).
14
Calculate (-689 - -687)*(-30)/12.
5
What is the value of ((-222)/(-555))/(14/35)?
1
Calculate ((-8)/7)/((-7672)/449771).
67
Calculate 104/32 - (4 + (-94)/24)*975.
-78
(-6)/399*2114/906
-2/57
Calculate 3*(-6 - 25) + 5 + 28.
-60
What is (-1)/21*110649/4311?
-11/9
What is the value of ((-315)/(-42000)*-16)/(282/(-20))?
2/235
Evaluate 14/(-161) + (-4025)/(-15870).
1/6
What is the value of (23/((-506)/(-238)) - 11) + 100/187?
6/17
2680/(-28140) - (-61)/(-21)
-3
What is the value of 75/(7125/38)*(-350)/(-3)*6/4?
70
Evaluate (((-5)/(-10))/((-12)/8))/((-7)/336*-8).
-2
What is (-2558)/(-83135) + 3/(195/713)?
11
Calculate (9982/10695)/((-70)/12).
-4/25
What is (0 - 15)/((-51072)/(-1092) - 47)?
65
What is ((-29)/(-1) + 92734/(-3262))/((-2)/(-336))?
96
9*(-1120)/672 + 1764/118
-3/59
Evaluate ((-288)/60 + 6)/(1417/(-2180)).
-24/13
Evaluate 3/(27/15)*((293174/5530 - 20) + -33).
2/79
Evaluate (78/10 - -1)/(2/(-16)*340/425).
-88
Calculate (306/4)/(21*(-348)/(-672)) + -48 + 41.
1/29
What is the value of (-145)/(-371) + (-93)/78864*-32?
3/7
Calculate (-17)/(-102)*(-14 - (-6 - (3 + 50))).
15/2
(-22714)/533 + (-108)/78
-44
What is the value of (182/35)/(2530/(-5175)*9/(-6))?
78/11
Evaluate 68 + (-81648)/(-6000)*-5.
-1/25
What is -3 + 56*((-374)/44 - -8)?
-31
Calculate -174 + 181 - (6/(396/(-1111)) + 1/3).
47/2
(-16)/(-36)*47/20680*-10
-1/99
Calculate -1 + 9 - (80/(-576)*-286 - 32).
5/18
Calculate (-3364)/522 + (-2215)/(-225).
17/5
Calculate -24 + 4890/105 + (-12)/(-28).
23
What is the value of ((-774)/6)/(0 - (-6 + (8 - 5)))?
-43
(144/(-2160))/(320/75)
-1/64
What is the value of ((-9)/(-189))/((-12837)/231 + 56)?
1/9
What is ((-42)/(-133))/((-492)/121524)?
-78
What is 217227/(-5301) + (-92)/4278?
-41
What is (-91)/(4095/(-180)) - 12?
-8
(268/(-4) + 52*5/20)*2/(-9)
12
Calculate (1029275/47505)/(-9 - 1).
-13/6
Evaluate (-180)/10350*105/14.
-3/23
Evaluate (-4)/(112/12)*(-5446)/1167.
2
What is ((548/(-175))/4 + 96/(-112))/(104/(-520))?
41/5
Calculate -60 + 8 + -44 + 34 + 22/1.
-40
What is (-32)/(50400/(-405))*(-6)/((-72)/(-28))?
-3/5
What is -4*(-2)/112 - 164*170/(-9520)?
3
Calculate (-8470)/315 + 18 + 9 - 1/(9/4).
-1/3
What is the value of ((-7179)/14358)/((16/(-6))/1)?
3/16
What is 88/(-18)*(-3129)/(-596) - 2/(-3)?
-25
What is the value of 16/3*(402 + 177873/(-422))?
-104
Calculate 5*4419/765 + -14 + 4080/289.
29
What is (-1067)/(-165) + (-2)/15 - 623/267?
4
What is 8/28*49/4*((-3440)/70)/(-2)?
86
What is the value of 1*36/(-6) + -1 + (-12)/((-7)/7)?
5
(-1358)/(-1067)*(-726)/792
-7/6
121/((-1089)/(-30))*((-196)/20 + 1/5)
-32
Calculate ((-14970)/(-17465))/(8/(-42)).
-9/2
Calculate (99/5)/(56 - (-54233)/(-965)).
-99
What is 13 + (-102)/18 + -13 + (-6)/(-9)?
-5
(22/(-14))/(6/34 - (-8370)/(-29512))
44/3
Evaluate (462/(-4554))/(7/(-3)).
1/23
Evaluate 30/(-5) + (35868/(-284))/(-21).
1/71
What is the value of (-77)/((-222684)/37355) + 58/(-6)?
13/4
(20 - (0 + 31)) + 9 - 11*1/(-9)
-7/9
11892/13776 - (-2*12/44)/((-98)/154)
1/164
(2/(-4))/(7/(-42)) + (37 - 102560/2560)
-1/16
What is (2/(-3))/((-748)/22440)?
20
Calculate -6 - (-68)/10 - (-92)/242880*-1952.
2/33
22/(-20)*89780/62846
-11/7
((-61060)/(-602) + -104)*21
-54
What is the value of ((-11)/(110/(-6)))/(37/(-22) + 98/539)?
-2/5
What is ((-8436)/(-10545))/(1*4/(-10))?
-2
Calculate ((-186064)/33263)/(-16) + (-126)/4662.
10/31
Evaluate (402/7236)/((-14)/(-228)) + (12/(-21) - -1).
4/3
(-105520)/(-448460)*(-612)/(-14)
72/7
Calculate ((-1140)/57)/(-160) - (-5 - (-206)/48).
5/6
-4 - 8/(-28)*(-20804)/12*206/(-25544)
-1/186
Evaluate (361/38 + 4)*(-1 - (-35)/33).
9/11
Calculate 111/(62937/42) + (-3706)/459.
-8
Evaluate (-319)/(-9) - (63/(-210) + (-23)/90).
36
Evaluate 3*6/63 - ((-2402)/(-126) - (272 - 254)).
-7/9
What is 11/(132/(-738))*(-684)/513?
82
(-133952)/2352 + 4 - (-2)/(-42)
-53
Evaluate ((-7)/((-21)/13) + -4)/(((-3135)/(-9))/(-55)).
-1/19
What is (2200/132 + (-85)/5 + 1)*15*3?
30
Calculate (-6615)/42*12*(-4)/(-108).
-70
Calculate (-56)/22 + 43464/19921.
-4/11
Calculate 39/91 + (-192608)/3241.
-59
Calculate (-11098)/81 + 77/6237.
-137
(-10032)/5643 - (-6712)/(-72)
-95
What is (-174)/(-645) - ((25 - 2100/125) + -8)?
3/43
(-950230)/(-13656) + (-402)/72 + 6
70
Evaluate (-2 + (0 - 0))/1*(-58)/(116/(-6)).
-6
Evaluate -10 + (-274)/(-36) + 15/(-45) + 10/4.
-2/9
What is the value of 6 - -16*9/(-36)*22?
-82
Evaluate (88 - (-81838)/(-1020)) + (-15)/2.
4/15
What is 6/(-57) - ((-647)/190 + 8) - 9/90?
-24/5
What is the value of 4704/948 - (0 - -1) - ((-156)/13 + 16)?
-3/79
What is (1045253/34068 - 34) + -2 + (-48)/(-9)?
1/68
Evaluate ((2 + (-46)/(-4))*59/(-177))/(57/114).
-9
Calculate 55/165 + (1672/(-171))/((-4)/6).
15
Calculate 1*12*(-23080)/(-147712).
15/8
What is 28 - 1680/64 - 205/60?
-5/3
Evaluate 28/(-72)*(-47 + 35 + 8).
14/9
Calculate ((-276)/16 - -17)/(((-143)/65)/11).
5/4
Calculate (-1*18/232)/(3/((-116)/87*-3)).
-3/29
Calculate 1534/170 + (2092 - 2101).
2/85
((-720)/(-20) - 20) + 1107/(-41)
-11
What is -9 + (-105 - -80 - -9)?
-25
(1081/92)/((-272)/384*-6 + -4)
47
What is 22*(8 - 18)*(-230)/25300?
2
What is the value of 7315/245 + -30 - -113*(-5)/(-35)?
16
What is the value of (3623 - 3602)*(-14)/(-6)?
49
4/(-6)*(19 - (86 + -106))
-26
Evaluate (-50)/125*10*11/22.
-2
What is 9 + 0 - ((-7)/3990*-13107 - 126/9)?
1/190
Calculate (-400)/204*(-849)/5660.
5/17
What is the value of 8/(-9*((-332)/84 - -4)) - 2?
-62/3
Calculate ((-9898)/1212*(-3)/14)/((-637)/(-156)).
3/7
((-4)/8)/((-3)/(-2))*36968/(-757844)
2/123
Evaluate (-510)/34*(3 - (-374)/(-85)).
21
Evaluate (-3001 - -3002)/(2/40).
20
Calculate 4*(2516/888)/((-3)/9).
-34
What is the value of 4/(-336)*(-438)/34 + -6*(-1)/(-51)?
1/28
Calculate 50/(-11)*(-13794)/(-40755).
-20/13
(2366 - 2394)/(1 - 6)
28/5
11*735/539 - 10
5
What is (64605 - 64604)*(2/(-14))/((-6)/21)?
1/2
Evaluate (-74)/(-3256) + (-20764)/528*-3.
118
What is the value of (285/3325)/(1638/2940)?
2/13
What is (-66538)/(-54796) + ((-372)/231 - (-4)/22)?
-3/14
Calculate 2260/(-1356)*5/((-70)/(-6)).
-5/7
What is (114/228)/(825/(-80) - -5 - -6)?
8/11
Evaluate 4*421/29 - ((-105 - -129) + (-11104)/464).
58
What is the value of (6 - (10 + (-423)/(-63) + -9))*(-1610)/20?
138
Calculate ((-580)/58)/(32/(-80)).
25
What is (23 - (-2652)/(-119)) + 858/210?
24/5
(-70 + | {
"pile_set_name": "DM Mathematics"
} |
- 115*m - 29*m + 21*m - 83*m to q + s*m and give s.
-216
Express 1 + 48*c**4 - 5394*c**2 + 5393*c**2 + 2 as a*c**2 + s*c**4 + v*c**3 + m + f*c and give m.
3
Rearrange (-9*p - 25*p - 4*p)*(4*p**2 - 3*p**2 - 2*p**2) + (-4*p**3 + 4*p**3 + p**3)*(3 - 1 - 3) to j*p + m + i*p**2 + c*p**3 and give j.
0
Rearrange (-2 - 5 + 5)*(-240 + 240 - 18*p)*(0 + 1 - 2)*(-p**2 + 5*p**2 - p**2) to the form s*p**3 + v*p**2 + u*p + f and give s.
-108
Express 82*z - 82*z - 33*z**2 + (-2 + z + 2)*(3*z - 5*z + 3*z) + (1 - 1 + 1)*(-7*z**2 + z**2 + 14*z**2) as b + a*z**2 + t*z and give a.
-24
Express 1502*w + 4*w**2 - 748*w - 754*w - 31 as z*w**2 + l*w + n and give z.
4
Rearrange -45*x**3 + 5*x**4 + 7*x**2 - x - 1 + 68*x**3 - 5*x**4 - 5*x**2 - x**4 to m*x**2 + v*x + n + a*x**3 + i*x**4 and give i.
-1
Rearrange 264*c**3 - 268*c**3 - c**2 - 2*c - 15 + 5*c**2 to v + t*c + r*c**3 + o*c**2 and give t.
-2
Rearrange 5*w**2 - 6*w**2 - 68 + 5*w + 65 to f + l*w**2 + h*w and give l.
-1
Express -4*j**2 + 0*j**2 + 0*j**2 + (4 - 5 + 2)*(0*j**2 - 3*j**2 + j**2) - 22*j**2 - 16*j**2 - 21*j**2 in the form y + l*j**2 + w*j and give l.
-65
Express -13 - 3*m**3 - 1620*m**2 + 1622*m**2 - 2*m + 0*m - 52 as u*m**3 + l*m + y + g*m**2 and give g.
2
Rearrange (-h - 3*h + 3*h)*(-17554*h - 3432 + 3764*h + 3432) to t*h + m*h**2 + v and give m.
13790
Rearrange -3 + 2*k + 9 - 5 - 25*k**2 + k to the form g*k + b + a*k**2 and give b.
1
Rearrange -375*i - 559*i - 195*i + 28*i to a*i + o and give a.
-1101
Express 731*c**2 - 2 - 392*c**2 - 7*c**3 + 8*c**3 + 2 as z*c**3 + r*c**2 + g*c + j and give r.
339
Rearrange (-1 + 1 - a)*(-3365*a + 9*a**2 + 37 + 6729*a - 3362*a) to the form o*a + n + d*a**2 + s*a**3 and give o.
-37
Express (0 + 5 - 4)*(0 - 2 + 0)*((-2 + 2 + b)*(-2*b**2 + b**2 - 4*b**2) + 2*b**3 - 2*b**3 + 3*b**3) in the form w*b + k*b**2 + z*b**3 + p and give z.
4
Express (6 + 2*h - 6)*(-9 + 15 + 7)*(1 - 3 + 1) in the form l + k*h and give k.
-26
Rearrange -x - 3*x - 6*x + (1 + 1 - 1)*(3*x - x - x) to j*x + g and give j.
-9
Rearrange 9*p + 23*p + 18*p - 7*p to the form f + m*p and give f.
0
Express -8 - 2720*g + 12*g**3 + 6*g**2 - 9*g**2 + 2720*g as d*g + i*g**2 + v + s*g**3 and give d.
0
Express 0 - 1 - 2 + 4 + 2 + 41*w**2 in the form k*w + x + p*w**2 and give p.
41
Rearrange (3 + 4*j - 5 - j)*(1047 - 1047 - 23*j)*(2*j - 4*j + 3*j) to z*j**3 + m*j**2 + y*j + t and give m.
46
Express -h**2 - h**2 + 5 + 0*h**2 - 7 + 15*h + 3*h**3 - h**3 as c*h**2 + u*h + m*h**3 + g and give g.
-2
Express -4*l + 4*l - l + 4*l + 16*l + 85*l + (2*l - 3*l + 3*l)*(3 - 8 - 1) in the form b*l + n and give n.
0
Rearrange 5*c**2 + 3*c**2 + 8*c - 6*c**2 + 59*c to the form a + i*c + x*c**2 and give i.
67
Express (-191*m + 188*m + 164*m)*(-6*m - 13 + 13) in the form i*m + r + s*m**2 and give s.
-966
Rearrange (1 + 0 - 13)*(-5*q + 26*q - 9*q) to z + j*q and give j.
-144
Express (2 + q - 2)*(-615*q + 4964*q - 687*q) as m + o*q + n*q**2 and give n.
3662
Rearrange -3533 - 68*a**2 + 96*a**2 + 3533 + 263*a**2 to j*a**2 + g + m*a and give j.
291
Rearrange -41*b**3 + 214*b**2 + 2*b**4 - 212*b**2 - 48*b**3 to n + w*b**4 + r*b**3 + g*b**2 + s*b and give g.
2
Express -5*n**3 - 7*n**3 + 10*n**3 + 128*n**4 + (-4*n**3 + 4*n**3 + 2*n**3)*(2*n - 2*n + 2*n) as o + t*n**4 + h*n + q*n**2 + p*n**3 and give t.
132
Rearrange (6*x**2 + 7*x**2 - 6*x**2)*(-12 + 12 + 4*x)*(x + x + 0*x) to the form q + r*x**4 + c*x**2 + z*x + f*x**3 and give r.
56
Express 365 - v + 279 - 455 as h*v + k and give k.
189
Rearrange 63*x**2 - 93*x**2 + 0 + 0 - 546*x**2 to the form p + b*x + y*x**2 and give y.
-576
Rearrange 405*n**2 - 384*n**2 - 10*n + 20*n to the form r*n + x + y*n**2 and give y.
21
Rearrange (15*x**4 - 8*x**4 + x**4)*(-653 - 513 - 501 + 376) to r*x**3 + m*x**4 + h*x**2 + z + d*x and give m.
-10328
Express -29*o**3 - 29*o**3 + 59*o**3 - 11 as x*o + c*o**3 + z*o**2 + d and give d.
-11
Express 7882 - 7882 - 402*f**2 as x + g*f + n*f**2 and give n.
-402
Express 5 - 8 + 4 + 3*m in the form u + h*m and give h.
3
Rearrange (-6 - 13 + 1)*(532 - 527 + 4*n + 4*n) to the form p + g*n and give p.
-90
Express -7*y + 59*y - 40*y - 15 in the form h*y + t and give h.
12
Rearrange (186*o + 4*o**2 - 369*o + 190*o)*(8 + 4 + 2 + 2) to the form z + u*o + v*o**2 and give u.
112
Rearrange -13*r + 197*r + 326*r + 144*r + 172*r to s + l*r and give s.
0
Express (13 - 6 + 5)*(6*g**4 + 3 - 3) - 7*g**4 + 2 + 6*g**4 - 1 in the form c*g + y*g**3 + z + l*g**4 + s*g**2 and give l.
71
Rearrange 560*y**2 - 1106*y**2 + 554*y**2 + 1 - 2*y**3 + 2*y - 3 to s*y**2 + t*y**3 + x + w*y and give x.
-2
Express (-2 + 2 + 6)*(-5 - 7 + 1 + 2 + 4 - 5 + (-3 + 6 - 4)*(2 - 4 + 1))*(0*t - t + 0*t) in the form a*t + k and give a.
54
Express -1 + 1 - 198899*y + 199208*y as d + o*y and give o.
309
Express (-2*l**2 + 4*l**2 + 2*l**2)*(-2*l + 0*l + 0*l)*(-68*l + 110 - 110) as c*l + m*l**4 + n + u*l**3 + g*l**2 and give m.
544
Rearrange 1 + 0 - 3 - v + (1 - 3 + 1)*(v - v - v) + 13*v - 3*v + 16*v to the form s + j*v and give j.
26
Rearrange -35 + 68 - 3*q - 2*q**3 - 31 to j + d*q**2 + h*q + a*q**3 and give h.
-3
Rearrange (4 - 2 - 1)*(259*k**2 - 35*k**2 + 330*k**2) - 2 - 2*k**2 + 2 to the form y + s*k + a*k**2 and give a.
552
Rearrange -2 - 2*d**3 - 5*d**2 - 2*d + 3*d - 3*d - d to x*d + h*d**3 + c*d**2 + i and give i.
-2
Express -h**3 + 5*h**3 - 2*h**2 + 0*h**3 - 7 - 5*h**3 + 27*h**2 as x*h**3 + c*h**2 + l*h + g and give g.
-7
Rearrange 345*n + 320*n - 417*n + 74*n + 155*n to v*n + x and give v.
477
Express l**3 + 16*l**2 + 4*l**2 + 36*l**2 + 3*l**2 as o*l + h + t*l**2 + b*l**3 and give b.
1
Rearrange 5*w**4 + 13*w - 2 - 7*w**4 - 1 - 13*w - 5*w to the form s*w + k*w**4 + r + z*w**2 + l*w**3 and give k.
-2
Rearrange 3*f**3 + 0*f + 24 + 8*f - 7*f + 0*f**3 to j*f**2 + p + u*f**3 + x*f and give x.
1
Rearrange (y - y + 2*y)*(2614 + 2883 - 867 - 515 + (-2 + 3 - 3)*(0 - 3 + 1)) to the form v*y + p and give v.
8238
Express (2*s + 6 - 32 - 40 + 8)*(-56*s + 56*s - 17*s**3) in the form d*s + y*s**2 + m*s**3 + f + a*s**4 and give a.
-34
Express -10 - 2 - 9*m + 103*m + 9 in the form f + h*m and give h.
94
Rearrange (1 - 1 + q)*(-515 - 819 + 172) to x + j*q and give j.
-1162
Express -11*v**2 - 3*v**3 - 853*v + 853*v as d*v**3 + t + c*v**2 + w*v and give d.
-3
Rearrange -4 + 9*d - 7*d + 7 + 2 - 2 - 2*d + (-9*d + 3 - 3)*(-2 + 1 - 7) to t*d + l and give t.
72
Express 0*n**3 + 4*n**3 - 17*n**3 + (-49*n**3 + 2*n**3 + 16*n**3)*(3 - 4 - 1) in the form b + v*n**3 + o*n**2 + q*n and give v.
49
Express a**4 + 3*a + 0*a - 945*a**2 + 2 - a**3 + 943*a**2 + 9*a**3 as p*a + i*a**2 + v*a**4 + n + h*a**3 and give p.
3
Rearrange (4 + h - 4)*(-3*h + h + 5*h + (2*h + h - h)*(-4 - 1 + 6))*(2*h - 62 + 62)*(4*h - 4*h + 2*h) to the form s*h**3 + x*h**4 + b*h + v*h**2 + z and give x.
20
Express 4 + 1 + 173*p - 5 + 124*p as h + z*p and give z.
297
Express 39*d**2 + 315*d**2 - 44*d**2 - 2*d + 103*d**2 in the form y*d**2 + b + o*d and give y.
413
Express (-b - 4*b + b + (2*b + b - 2*b)*(1 - 1 + 2))*(7*b**3 + 6*b**3 - 2*b + 0*b**3) as k*b**3 + w + d*b + h*b**4 + n*b**2 and give n.
4
Rearrange (0 + 1 + 1)*(-1 + m + 1) - 46*m + 105*m - 200*m to the form k + s*m and give k.
0
Rearrange 166*x**2 + 112*x**2 - 72*x**2 to l*x + k + f*x**2 and give k.
0
Rearrange (6 - 4 - 1)*(123 - 10*s - 123)*(0 - s + 0)*(7 - 3 + 7) to z + g*s + w*s**2 and give w.
110
Express -3*o**3 + 0*o - 2*o**2 - 3*o**4 + 25*o - 27*o in the form f + t*o + m*o**3 + w*o**4 + u*o**2 and give u.
-2
Rearrange -13*y - 55*y - 3 + 4 - 16*y - 7*y to the form c*y + n and give n.
1
Express (2*l**2 + 0*l**2 - 4*l**2)*(42 + 152*l - 113*l - 45*l)*(-5 + 3 + 3)*(2 - 2 - 2) in the form h*l**2 + k + u*l + v*l**3 and give v.
-24
Rearrange (4*f + f + 0*f)*(-4 + 6 - 20)*((-f - f + 3*f)*(0*f + 0*f - f**2) + 5*f**2 - 5*f**2 - f**3) to l*f**4 + y*f**2 + m*f + x + k*f**3 and give l.
180
Express -52 + 52 + 1038*t**2 - 359*t**2 as u + v*t**2 + q*t and give v.
679
Rearrange (-3 + 2 + 0)*(-4 - 1 + 3)*(1 + 1 + 2)*((4 - 2 + 1)*(4*k - 2*k - 3*k) - k + 0*k - 2*k + 2*k + 9*k - k) to the form c + z*k and give z.
32
Rearrange -577 - 1282*x**2 - 899*x**2 + 577 to the form v + j*x + d*x**2 and give d.
-2181
Express (f**3 - 1015*f**2 + 2159*f**2 - 1059*f**2)*(0 - 1 + 2) as v*f**2 + s*f + d + r*f**3 and give v.
85
Rearrange (-9628*i | {
"pile_set_name": "DM Mathematics"
} |
59 + -89. Suppose -3*l + 8*l = f. What is the remainder when 40 is divided by l?
12
Let d(i) = i**2 - 2*i - 3. Let r be d(3). Suppose r*o + 2*z + 30 = -2*o, -z - 69 = 4*o. Calculate the remainder when 18 is divided by 12/o*(-1 + -14).
8
Suppose -2*l + l = -2. What is the remainder when 4 is divided by l?
0
Calculate the remainder when 8 is divided by (12/24)/(2/24).
2
Suppose -3*n - 4 = -7. Let c(i) = i**3 - 13*i**2 + 4. What is the remainder when ((-21)/(-9))/(n/3) is divided by c(13)?
3
Let f be (-2)/(-8) - 7/(-4). Calculate the remainder when 19 + f/(4/6) is divided by 8.
6
Let x(i) = -2*i - 7. What is the remainder when 33 is divided by x(-10)?
7
What is the remainder when 3 is divided by (1 + -4)/(-3)*1?
0
Suppose u = -2 - 3. Let i(n) = -16*n - 6. Let m be i(u). Suppose w - 2*w = -4*j - 25, -4*w + 3*j + m = 0. Calculate the remainder when w is divided by 6.
5
Suppose -2*u + 8 = 3*a, 5 = 4*a + 5*u - 1. Let h(n) = 2 + 0 + a*n**2 - 3*n**2 - 6 + n. What is the remainder when h(-3) is divided by 1?
0
Let y(j) = 2*j**2 - 2*j + 12. What is the remainder when y(0) is divided by 10?
2
Let t(x) = x**3 - 9*x**2 - 11*x + 15. Let m(y) = -y**3 + 5*y**2 - 2*y. What is the remainder when m(4) is divided by t(10)?
3
Suppose 0 = c - 5*c. Suppose c = -3*l - 2*l. Suppose t - 3*t + 26 = l. What is the remainder when t is divided by 7?
6
Suppose -5*g + 130 = -180. Suppose -3*v + g = 2. Calculate the remainder when 57 is divided by v.
17
Let h(z) = z**2 + 6*z + 6. Let w be h(-6). Let s(d) = -d**2 - 7*d + 6. What is the remainder when (44/w)/(2/3) is divided by s(-7)?
5
Suppose 13 = 2*i - 9. Let r(u) = 2*u**2 + 15*u - 35. What is the remainder when r(-11) is divided by i?
9
Suppose -5*y = -2*y - 219. Suppose -z + 0*u = 4*u - y, 0 = -z + 2*u + 43. What is the remainder when z is divided by 14?
11
Let p = -51 - -74. Calculate the remainder when 87 is divided by p.
18
Let x(f) = -6*f**3 + f**2 + f + 1. What is the remainder when 32 is divided by x(-1)?
4
Let r = 9 + -3. Suppose -2*o + 3*o = 11. Calculate the remainder when o is divided by r.
5
Suppose 251 = -0*r + 3*r + o, -5*r - 3*o = -421. Calculate the remainder when r is divided by 28.
27
Suppose 4*d = -6*d + 80. Let f = 11 - 8. Suppose 110 = f*s + 2*s. Calculate the remainder when s is divided by d.
6
Let m = 9 - 15. Let v = 30 + -28. What is the remainder when v is divided by (m/(-10) - 1)*-5?
0
Suppose i = 10 - 3. Suppose -t - i = -2*t. Let n(z) = 14*z**2 + 2*z + 1. Calculate the remainder when n(-1) is divided by t.
6
Suppose 0 = 16*n - 234 + 74. What is the remainder when 19 is divided by n?
9
Let v(k) = -k**2 - 12*k - 13. Let d be v(-9). Suppose o + d = 2*o. Calculate the remainder when o is divided by 4.
2
Suppose 2*i - 104 = 4*i. Let u = 43 - i. What is the remainder when u is divided by 32?
31
Let i(s) = -s**3 + 7*s**2 - 6*s - 8. Let y be i(6). Let r = y - -12. Let k(j) = j + 8. What is the remainder when r is divided by k(-6)?
0
Let k = 1 + -2. What is the remainder when 3 is divided by ((-5)/15)/(k/6)?
1
Suppose w - 364 = -3*l + 116, 2*l - 306 = 4*w. Calculate the remainder when l is divided by 40.
39
Suppose 0 = 5*p - 0*p - 25. Suppose -n = -p*n + 276. Suppose 0 = -0*v - 3*v + n. Calculate the remainder when v is divided by 8.
7
Let z be 1/(-4) + (-303)/(-12). Suppose -3*m = -17 - z. What is the remainder when 41 is divided by m?
13
Suppose -55*l - 4 = -56*l. Let i(d) = d**3 - d**2 - d + 6. Let n be i(0). Suppose 2*x = n*x - 8. Calculate the remainder when l is divided by x.
0
Let w(q) = 2*q**2 + 4*q + 2. Let t = 9 + -6. Suppose 2*a + 3*a + t*k = -1, 0 = -4*a - 4*k + 4. Calculate the remainder when 6 is divided by w(a).
0
Calculate the remainder when 24 is divided by (-35)/(-4) - 7/(-28).
6
Suppose 3*f - 96 = -3*l, l + 4*l = -3*f + 156. Calculate the remainder when 116 is divided by l.
26
What is the remainder when 69 is divided by 0 + 12/8 - (-22)/4?
6
Suppose 23 + 13 = 3*y - g, -3*y + 4*g + 36 = 0. Calculate the remainder when 46 is divided by y.
10
Let p(a) = 2*a**2 - 2*a - 1. Let s(f) = f**2 + 3*f + 3. What is the remainder when s(-3) is divided by p(-1)?
0
Let t(s) = s + 15. Calculate the remainder when 48 is divided by t(3).
12
Let h be 3/(-6)*0 + 2. Suppose 3*d - q - 107 = -2*d, -h*q = 4. Let n(j) = -j**2 + 7*j + 11. Calculate the remainder when d is divided by n(7).
10
Let r = -107 + 144. What is the remainder when 220 is divided by r?
35
Let t(d) = -d**2 + 14*d - 12. What is the remainder when 23 is divided by t(12)?
11
Let l(m) = -m**2 + 7*m + 6. What is the remainder when ((-27)/(-18))/(3/62) is divided by l(5)?
15
Let q(y) = -y**3 + 4*y**2 + y - 1. Calculate the remainder when 41 is divided by q(3).
8
Suppose -2*m = -3*g - 45, -21 = -3*m + 2*m + g. What is the remainder when 48 is divided by m?
12
Let n(r) = -r**2 - 10*r - 3. What is the remainder when n(-7) is divided by 10?
8
Calculate the remainder when 5/(3/45*3) is divided by 14.
11
Suppose r = 2*r - 70. What is the remainder when r is divided by 15?
10
Let o = 0 + -2. Let i = 7 + o. Suppose -i*t + 0*t = -25. What is the remainder when 14 is divided by t?
4
Suppose 0 = -8*w - 3*w + 99. Suppose 4*j - 2*j = 68. Calculate the remainder when j is divided by w.
7
Suppose -3*z - 2*h = -130, -2*h + 3*h = 4*z - 177. Suppose z = 2*j + j + 4*k, -k = -2. Calculate the remainder when j is divided by 7.
5
Let d(v) = v**2 + v + 8. Suppose 15 = 5*l - 0*l. Calculate the remainder when d(0) is divided by l.
2
Suppose 42 - 6 = 4*u. What is the remainder when 34 is divided by u?
7
Let y(d) = d**2 + 2*d + 1. Let f be y(-1). Let s(i) = i - 3*i**2 + 7 + 4*i**2 - 2*i. Calculate the remainder when 19 is divided by s(f).
5
Let w = 160 - 130. What is the remainder when 179 is divided by w?
29
Let p = -19 + 32. What is the remainder when 49 is divided by p?
10
Let p be -2 + 2 + 2 + -2. Let n be 0/(p + 2 + -1). Let w(m) = m + 18. What is the remainder when w(n) is divided by 10?
8
Let o = 25 + 0. Calculate the remainder when o is divided by 9.
7
What is the remainder when (-1)/4 - (-3038)/56 is divided by 7*2 - 0/3?
12
Let h(s) = -s**3 - s. Let q be h(-1). Let n be ((-92)/6)/(8/(-12)). Suppose -5 = y + q*m - n, 0 = m. What is the remainder when 53 is divided by y?
17
Let u(r) = 3*r**3 - 6*r**2 - 4*r - 6. Let i(y) = -y**2 - y - 1. Let w(x) = -5*i(x) + u(x). What is the remainder when 60 is divided by w(2)?
18
Let p be (-9)/3 - 1*10. Let q = p - -27. What is the remainder when 40 is divided by q?
12
Let t(w) = w**3 - 8*w**2 - 7*w - 2. What is the remainder when 60 is divided by t(9)?
12
Let r = -10 - -4. Calculate the remainder when 49 is divided by (357/r)/(-7)*2.
15
Suppose 16*u - 14*u = 92. Calculate the remainder when u is divided by (2/(-4))/(1/(-32)).
14
Let s(m) = 2*m + 26. Calculate the remainder when 96 is divided by s(12).
46
Let g(l) = -l**2 - 14*l + 34. What is the remainder when 6 is divided by g(-16)?
0
Suppose -2*f + 0 = -6, -4*o - 5*f - 73 = 0. Let l = 8 - o. Let j = -10 + 26. Calculate the remainder when l is divided by j.
14
Let p = 16 - 17. What is the remainder when (-10 - 3 - 3)*p is divided by 10?
6
Suppose 0 = -f + 4*t + 8 + 2, -2*f = -5*t - 23. Let k = -4 - -7. Suppose -130 = -5*l + k*p, 0 = -p - 0*p. What is the remainder when l is divided by f?
12
Suppose -2*y + 26 = -5*t, -y - y + 2*t + 20 = 0. Calculate the remainder when y is divided by 5.
3
Let w = -4 - -1. Let k = w - -7. Suppose 5*m + 5 + 5 = k*s, -3*s = 3*m - 21. What is the remainder when 9 is divided by s?
4
Let t(a) = -7*a**2 + 4*a + 11. Let c(z) = -6*z**2 + 5*z + 10. Let q(r) = 6*c(r) - 5*t(r). Calculate the remainder when 39 is divided by q(9).
11
Suppose 0 = -6*q - 0*q + 6. Calculate the remainder when 1 is divided by q.
0
Suppose -3*r - 5 = -38. Let k = 4 - -2. Suppose k*j + 2*m - 50 = 4*j, j + 3*m - 35 = 0. What is the remainder when j is divided by r?
9
Let k = 1 - -2. Suppose -o - 2*z + 55 = -4*o, -20 = 5*z. Let m = 30 + o. What is the remainder when m is divided by k?
0
Let y be ((-59)/2)/(1/2). Let q = -42 - y. What is the remainder when q is divided by 9?
8
Let h(k) = 7*k. Let v be h(1). Let g = v - 4. What is the remainder when 4 is divided by g?
1
Let p = -20 + 24. Suppose -p*g = -0*g - 44. Calculate the remainder when 42 is divided by g.
9
Let d = -20 - -14. | {
"pile_set_name": "DM Mathematics"
} |
, 34, 310, 4.
2, 4, 5, 34, 310
Sort 0.318, -3/7, 1/5.
-3/7, 1/5, 0.318
Sort 1/2, -83, 2 in increasing order.
-83, 1/2, 2
Put -2, 3/7, 1.3, -0.1 in descending order.
1.3, 3/7, -0.1, -2
Put 2, -1, -2, 34, -5 in decreasing order.
34, 2, -1, -2, -5
Sort 11, 1, 5, -4 in decreasing order.
11, 5, 1, -4
Put 0.4, 0, 3/5, -1/4, -24 in descending order.
3/5, 0.4, 0, -1/4, -24
Put 31, 1/2, 0.4, 3 in descending order.
31, 3, 1/2, 0.4
Put -4, -1, -5, 9 in descending order.
9, -1, -4, -5
Sort -41, 3, -0.3.
-41, -0.3, 3
Sort -2, 29, 3, -5 in decreasing order.
29, 3, -2, -5
Sort -3, -2/17, 4/11, -0.6 in descending order.
4/11, -2/17, -0.6, -3
Sort 3.4, 0.7, -0.4, -2/3.
-2/3, -0.4, 0.7, 3.4
Put -1/3, 2, -4, -1.7 in decreasing order.
2, -1/3, -1.7, -4
Sort 312, 0, -5, -2.
-5, -2, 0, 312
Sort 2, -1/13, 2/25, -4, 2/23 in ascending order.
-4, -1/13, 2/25, 2/23, 2
Put -2, 3, 1, -4 in ascending order.
-4, -2, 1, 3
Put -238, 4, 5, 18 in decreasing order.
18, 5, 4, -238
Put 0, -24/29, -0.3, 1, -4 in descending order.
1, 0, -0.3, -24/29, -4
Put -3.6, -0.3, 2/17 in decreasing order.
2/17, -0.3, -3.6
Put -0.3, 0.05, -4/3 in decreasing order.
0.05, -0.3, -4/3
Sort 1, -4, -7, -2, 5 in decreasing order.
5, 1, -2, -4, -7
Sort 1/2, 0.02, 3/2, -0.2 in decreasing order.
3/2, 1/2, 0.02, -0.2
Sort 5, 227, 2.
2, 5, 227
Put 2, -7, -17 in descending order.
2, -7, -17
Sort -1, 1, -5, -9 in descending order.
1, -1, -5, -9
Sort -0.2, 13, 41 in increasing order.
-0.2, 13, 41
Put 188/7, 24, -4/9 in increasing order.
-4/9, 24, 188/7
Put 13, -1, -5 in decreasing order.
13, -1, -5
Put 0, 1, 2, -7 in decreasing order.
2, 1, 0, -7
Sort 2, -2, -5, 0 in descending order.
2, 0, -2, -5
Sort -5, -1007, 0 in descending order.
0, -5, -1007
Sort 0, 706, -4, -2, 4 in decreasing order.
706, 4, 0, -2, -4
Sort -3, 3, -33 in increasing order.
-33, -3, 3
Sort 3, -3, -2, -3330 in ascending order.
-3330, -3, -2, 3
Sort -2/15, 35, 3/4 in increasing order.
-2/15, 3/4, 35
Put 6, -1, -2, 12 in ascending order.
-2, -1, 6, 12
Sort -6, 105, -2.
-6, -2, 105
Sort -6, -5, -38 in ascending order.
-38, -6, -5
Put -2, -3, 2, -1, -312 in increasing order.
-312, -3, -2, -1, 2
Sort -4, 18, -15, -5, 0 in decreasing order.
18, 0, -4, -5, -15
Put 1, 113, -2, 3 in increasing order.
-2, 1, 3, 113
Sort 2, 0.83, -5, 3 in descending order.
3, 2, 0.83, -5
Put 43, 2, 6, 1 in increasing order.
1, 2, 6, 43
Put 4, 7, 0, -2 in decreasing order.
7, 4, 0, -2
Put 5, 4, -3, -2 in descending order.
5, 4, -2, -3
Put -7, 3, 4, -17 in descending order.
4, 3, -7, -17
Sort -30, -5, -2.
-30, -5, -2
Sort -7, 4, -1, -2/5 in ascending order.
-7, -1, -2/5, 4
Put 16, 24, 0.5 in decreasing order.
24, 16, 0.5
Sort 1/18, -1/7, 4 in decreasing order.
4, 1/18, -1/7
Sort -0.1, 203/6, -5, -6/5, 5 in descending order.
203/6, 5, -0.1, -6/5, -5
Put -0.17, -2, 1/2, 1/6 in ascending order.
-2, -0.17, 1/6, 1/2
Put -2, -30, 0.1 in increasing order.
-30, -2, 0.1
Sort 274, -1, 2, 0 in descending order.
274, 2, 0, -1
Put 1039, -2, 4 in decreasing order.
1039, 4, -2
Put -5, 222, 0 in increasing order.
-5, 0, 222
Sort 0.1, -3/2, -4, 1 in increasing order.
-4, -3/2, 0.1, 1
Sort 0.16, -18/11, 0.1 in decreasing order.
0.16, 0.1, -18/11
Sort -35, 0.26, -2/15 in increasing order.
-35, -2/15, 0.26
Put -1/4, 0.2, 1.8 in increasing order.
-1/4, 0.2, 1.8
Sort 3, 1, -1/6, 2, -41.
-41, -1/6, 1, 2, 3
Sort -6/17, -0.03, 0.1, 18 in ascending order.
-6/17, -0.03, 0.1, 18
Sort 62, -1, -5 in increasing order.
-5, -1, 62
Put -1, -2, -31, -12 in decreasing order.
-1, -2, -12, -31
Sort -6, -2, 3, -3/2 in increasing order.
-6, -2, -3/2, 3
Sort 4, -1, 68, -2, -4 in ascending order.
-4, -2, -1, 4, 68
Sort 1, 3, 2/1319.
2/1319, 1, 3
Put -3/10, -0.1, -0.21 in decreasing order.
-0.1, -0.21, -3/10
Sort -4, 3, -48, -5, -2 in decreasing order.
3, -2, -4, -5, -48
Sort -3/2, 21/2, 3, 0.9.
-3/2, 0.9, 3, 21/2
Put 0.1, 8, -6/7 in descending order.
8, 0.1, -6/7
Sort 0, -16, -5 in increasing order.
-16, -5, 0
Sort 5, -24, -1, -26.
-26, -24, -1, 5
Sort -5, -73, 5, -4, 0 in increasing order.
-73, -5, -4, 0, 5
Sort 0, -60, -4 in decreasing order.
0, -4, -60
Put -1, 15, 13 in decreasing order.
15, 13, -1
Sort 23, 13, 2, -4 in ascending order.
-4, 2, 13, 23
Put 4, -25, 1, 81, -5 in descending order.
81, 4, 1, -5, -25
Put -2/15, 0.3, -0.07 in descending order.
0.3, -0.07, -2/15
Sort -3/5, 2/31, 0.8, -2.
-2, -3/5, 2/31, 0.8
Sort 786, 3, -3.
-3, 3, 786
Sort -3/7, -0.108, -18 in decreasing order.
-0.108, -3/7, -18
Put -0.5, -1, -13, 0 in descending order.
0, -0.5, -1, -13
Sort 2/15, 0.02, -0.2, 0.4.
-0.2, 0.02, 2/15, 0.4
Sort -2, 0.2, 1, -38 in increasing order.
-38, -2, 0.2, 1
Put 4, -178, -1 in ascending order.
-178, -1, 4
Sort 4/7, -5, 0.5, 2/5 in descending order.
4/7, 0.5, 2/5, -5
Put 1/4, -0.1, -4, -17/4 in descending order.
1/4, -0.1, -4, -17/4
Sort -1/11, 1, -6.
-6, -1/11, 1
Put 1, -4, 4 in descending order.
4, 1, -4
Sort -19, 2/27, 0, -5 in descending order.
2/27, 0, -5, -19
Sort -5, 5, 472 in descending order.
472, 5, -5
Sort -3, -8, 3, -1.
-8, -3, -1, 3
Sort 1, 130, -5, 3, 5 in increasing order.
-5, 1, 3, 5, 130
Put 4, -5, 3, 33, 9 in ascending order.
-5, 3, 4, 9, 33
Sort 4, 5, -5, -7.
-7, -5, 4, 5
Sort -1, 25, -0.2, 1.
-1, -0.2, 1, 25
Sort -4, -5, -31, -2.
-31, -5, -4, -2
Put 2, -3, -2, 195 in descending order.
195, 2, -2, -3
Put 24, -1, 2 in descending order.
24, 2, -1
Sort 0, 1, 2, 3, -67.
-67, 0, 1, 2, 3
Put 27, -3, -4 in descending order.
27, -3, -4
Put 1041, -4, 3, 1 in ascending order.
-4, 1, 3, 1041
Sort 6, 4, -30 in increasing order.
-30, 4, 6
Sort 10, -2, 29 in decreasing order.
29, 10, -2
Sort -403, 3, -3.
-403, -3, 3
Sort 0.1, 22, 1, 1/7, -2 in decreasing order.
22, 1, 1/7, 0.1, -2
Put 5, 71, -5, -3, 2 in decreasing order.
71, 5, 2, -3, -5
Put -5, 2, -11, 1 in decreasing order.
2, 1, -5, -11
Sort -5, 3, -1, -4, -3 in ascending order.
-5, -4, -3, -1, 3
Sort -4.8, 5, -0.5.
-4.8, -0.5, 5
Sort 1, -1, 6 in descending order.
6, 1, -1
Sort -524, 2/5, 6/7.
-524, 2/5, 6/7
Put -3, -4, 1, -10, -1 in decreasing order.
1, -1, -3, -4, -10
Sort 1/11, 0.09, 6 in increasing order.
0.09, 1/11, 6
Sort 17, 26, 3, -1 in increasing order.
-1, 3, 17, 26
Sort -0.4, 30, 1, -1, -4 in increasing order.
-4, -1, -0.4, 1, 30
Sort 148/9, 1/2, -0.5, 1/6.
-0.5, 1/6, 1/2, 148/9
Put 4, 38, -2 in ascending order.
-2, 4, 38
Sort -74, 4, -2, 1 in descending order.
4, 1, -2, -74
Sort 3, 21, 8/5.
8/5, 3, 21
Sort 2, 27, -3.
-3, 2, 27
Put -15, 2, 1, -4 in decreasing order.
2, 1, -4, -15
Put -1/8, -2/3, -2/93 in decreasing order.
-2/93, -1/8, -2/3
Put 44, -10, 4 in descending order.
44, 4, -10
Put -5, 1, 827 in descending order.
827, 1, -5
Sort -2, -3, 22, 0 in ascending order.
-3, -2, 0, 22
Put -3, -20, -13, 1 in decreasing order.
1, -3, -13, -20
Sort 43, 5, 2, 0.
0, 2, 5, 43
Sort 2, -2, -1, 3, 1.
-2, -1, 1, 2, 3
Put 1/2, 2/3, -327/5, 1, -2/9 in ascending order.
-327/5, -2/9, 1/2, 2/3, 1
Put 1/3, 1, 1.65 in increasing order.
1/3, 1, 1.65
Sort 5, -2, 3, 18 in descending order.
18, 5, 3, -2
Sort 1/2, 4, -8.
-8, 1/2, 4
Sort -4, 3/50, 2/3, 1 in increasing order.
-4, 3/50, 2/3, 1
Sort -4, 2, 226.
-4, 2, 226
Put 3, 3/8, 1, -3/2 in descending order.
3, 1, 3/8, -3/2
Sort 2, -159, -4, 5 in descending order.
5, 2, -4, -159
Put 4, -10, -5, 0 in decreasing order.
4, 0, -5, -10
Sort 0.1, -2/5, -1, -0.01, 4 in increasing order.
-1, -2/5, -0.01, 0.1, 4
Sort 0.26, -0.1, -5, 1/3 in ascending order.
-5, -0.1, 0.26, 1/3
Sort -1, 0, -2 in descending order.
0, -1, -2
Put 0.5, -2, 4, 2, -31 in increasing order.
-31, -2, 0.5, 2, 4
Put -3, 514, 5 in decreasing order.
514, 5, -3
Sort 0.5, -0.2, -1.6, 0.9 in descending order.
0.9, 0.5, -0.2, -1.6
Sort 116, -5, -1/3, -2/5, 0.3.
-5, -2/5, -1/3, 0.3, 116
Put 2, 4, -35, 3 in decreasing order.
4, 3, 2, -35
Sort 1, 1/7, -0.6, -5 in ascending order.
-5, -0.6, 1/7, 1
Sort -1, -8, 4 in descending order.
4, -1, -8
Sort -1, 2, -281 in ascending order.
-281, -1, 2
Put 0.01, 1/5, 1/1971 in decreasing order.
1/5, 0.01, 1/1971
Sort 3, 6, -5, -1.
-5, -1, 3, 6
Sort -3, 0, 3, -89, -2 in increasing order.
-89, -3, -2, 0, 3
Put 3, -5/19, 0 in increasing order.
-5/19, 0, 3
Sort 3, -3, -146 in ascending order.
-146, -3, 3
Sort -10, 529, 1.
-10, 1, 529
Put 33, 1, 0 in decreasing order.
33, 1, 0
Sort -1, -2, 5, 4 in increasing or | {
"pile_set_name": "DM Mathematics"
} |
hat is 62899 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 18743 to the nearest integer?
3
What is 16528 to the power of 1/2, to the nearest integer?
129
What is the cube root of 10460 to the nearest integer?
22
What is 29679 to the power of 1/8, to the nearest integer?
4
What is the square root of 357 to the nearest integer?
19
What is the square root of 68 to the nearest integer?
8
What is the third root of 666 to the nearest integer?
9
What is 6532 to the power of 1/8, to the nearest integer?
3
What is 143049 to the power of 1/4, to the nearest integer?
19
What is 35204 to the power of 1/3, to the nearest integer?
33
What is the cube root of 84270 to the nearest integer?
44
What is the tenth root of 5018 to the nearest integer?
2
What is the square root of 2648 to the nearest integer?
51
What is 55327 to the power of 1/2, to the nearest integer?
235
What is the square root of 39506 to the nearest integer?
199
What is the third root of 596 to the nearest integer?
8
What is 136322 to the power of 1/6, to the nearest integer?
7
What is the eighth root of 44214 to the nearest integer?
4
What is the square root of 10205 to the nearest integer?
101
What is the square root of 132664 to the nearest integer?
364
What is 55158 to the power of 1/6, to the nearest integer?
6
What is the cube root of 39063 to the nearest integer?
34
What is the cube root of 274 to the nearest integer?
6
What is the sixth root of 4640 to the nearest integer?
4
What is the square root of 42 to the nearest integer?
6
What is 5174 to the power of 1/6, to the nearest integer?
4
What is the eighth root of 6962 to the nearest integer?
3
What is the square root of 1590 to the nearest integer?
40
What is the square root of 39141 to the nearest integer?
198
What is 972 to the power of 1/3, to the nearest integer?
10
What is the tenth root of 4608 to the nearest integer?
2
What is 59606 to the power of 1/6, to the nearest integer?
6
What is 21936 to the power of 1/9, to the nearest integer?
3
What is the cube root of 20701 to the nearest integer?
27
What is 2579 to the power of 1/2, to the nearest integer?
51
What is 1155 to the power of 1/9, to the nearest integer?
2
What is the cube root of 46344 to the nearest integer?
36
What is the tenth root of 41406 to the nearest integer?
3
What is 1120 to the power of 1/3, to the nearest integer?
10
What is the tenth root of 7370 to the nearest integer?
2
What is 3849 to the power of 1/2, to the nearest integer?
62
What is the fifth root of 5978 to the nearest integer?
6
What is the third root of 8800 to the nearest integer?
21
What is the third root of 637 to the nearest integer?
9
What is the square root of 7495 to the nearest integer?
87
What is 22904 to the power of 1/4, to the nearest integer?
12
What is 3636 to the power of 1/3, to the nearest integer?
15
What is the cube root of 3415 to the nearest integer?
15
What is the eighth root of 13971 to the nearest integer?
3
What is 103992 to the power of 1/2, to the nearest integer?
322
What is the cube root of 221 to the nearest integer?
6
What is the fourth root of 10744 to the nearest integer?
10
What is 16599 to the power of 1/2, to the nearest integer?
129
What is the third root of 32073 to the nearest integer?
32
What is 5611 to the power of 1/6, to the nearest integer?
4
What is 5712 to the power of 1/3, to the nearest integer?
18
What is the square root of 1112 to the nearest integer?
33
What is 2670 to the power of 1/2, to the nearest integer?
52
What is 45234 to the power of 1/2, to the nearest integer?
213
What is the fourth root of 10918 to the nearest integer?
10
What is the cube root of 40594 to the nearest integer?
34
What is 28604 to the power of 1/3, to the nearest integer?
31
What is the square root of 6863 to the nearest integer?
83
What is the square root of 66986 to the nearest integer?
259
What is the square root of 106964 to the nearest integer?
327
What is the eighth root of 2677 to the nearest integer?
3
What is the cube root of 2464 to the nearest integer?
14
What is the square root of 3268 to the nearest integer?
57
What is the square root of 59527 to the nearest integer?
244
What is 369 to the power of 1/6, to the nearest integer?
3
What is 23618 to the power of 1/2, to the nearest integer?
154
What is the ninth root of 2505 to the nearest integer?
2
What is 1997 to the power of 1/2, to the nearest integer?
45
What is the fifth root of 82 to the nearest integer?
2
What is the ninth root of 10765 to the nearest integer?
3
What is the eighth root of 827 to the nearest integer?
2
What is 32721 to the power of 1/4, to the nearest integer?
13
What is 1691 to the power of 1/2, to the nearest integer?
41
What is 706 to the power of 1/2, to the nearest integer?
27
What is 1003 to the power of 1/6, to the nearest integer?
3
What is 177 to the power of 1/2, to the nearest integer?
13
What is 13804 to the power of 1/8, to the nearest integer?
3
What is the ninth root of 1394 to the nearest integer?
2
What is 238 to the power of 1/2, to the nearest integer?
15
What is 3667 to the power of 1/2, to the nearest integer?
61
What is the tenth root of 1297 to the nearest integer?
2
What is 1797 to the power of 1/2, to the nearest integer?
42
What is 227 to the power of 1/4, to the nearest integer?
4
What is 5716 to the power of 1/3, to the nearest integer?
18
What is the third root of 6523 to the nearest integer?
19
What is 1416 to the power of 1/3, to the nearest integer?
11
What is 11786 to the power of 1/2, to the nearest integer?
109
What is 30275 to the power of 1/2, to the nearest integer?
174
What is the square root of 1025 to the nearest integer?
32
What is the third root of 221 to the nearest integer?
6
What is the cube root of 30442 to the nearest integer?
31
What is 11418 to the power of 1/3, to the nearest integer?
23
What is 5358 to the power of 1/3, to the nearest integer?
17
What is the third root of 51224 to the nearest integer?
37
What is the cube root of 93916 to the nearest integer?
45
What is 72702 to the power of 1/7, to the nearest integer?
5
What is 297 to the power of 1/3, to the nearest integer?
7
What is the square root of 3299 to the nearest integer?
57
What is 56579 to the power of 1/9, to the nearest integer?
3
What is the sixth root of 22 to the nearest integer?
2
What is the seventh root of 4697 to the nearest integer?
3
What is the seventh root of 2013 to the nearest integer?
3
What is 35069 to the power of 1/8, to the nearest integer?
4
What is the third root of 49855 to the nearest integer?
37
What is the third root of 1336 to the nearest integer?
11
What is the square root of 23191 to the nearest integer?
152
What is the square root of 2663 to the nearest integer?
52
What is the square root of 59132 to the nearest integer?
243
What is 12967 to the power of 1/3, to the nearest integer?
23
What is the ninth root of 66809 to the nearest integer?
3
What is the third root of 1270 to the nearest integer?
11
What is the tenth root of 3693 to the nearest integer?
2
What is the third root of 36985 to the nearest integer?
33
What is 1523 to the power of 1/3, to the nearest integer?
12
What is 20326 to the power of 1/6, to the nearest integer?
5
What is 4004 to the power of 1/8, to the nearest integer?
3
What is 7848 to the power of 1/9, to the nearest integer?
3
What is 17747 to the power of 1/2, to the nearest integer?
133
What is the square root of 1600 to the nearest integer?
40
What is the third root of 102243 to the nearest integer?
47
What is 66 to the power of 1/3, to the nearest integer?
4
What is the third root of 878 to the nearest integer?
10
What is the square root of 1099 to the nearest integer?
33
What is the tenth root of 80719 to the nearest integer?
3
What is the square root of 2749 to the nearest integer?
52
What is the cube root of 8452 to the nearest integer?
20
What is 2198 to the power of 1/8, to the nearest integer?
3
What is 86058 to the power of 1/3, to the nearest integer?
44
What is the tenth root of 811 to the nearest integer?
2
What is 1112 to the power of 1/2, to the nearest integer?
33
What is the square root of 3498 to the nearest integer?
59
What is the square root of 1373 to the nearest i | {
"pile_set_name": "DM Mathematics"
} |
. Is y a composite number?
False
Suppose -11153 = 65*p - 1166138. Is p prime?
False
Is (1549258/16)/((-58)/(-464)) prime?
True
Let x = -51758 + 84199. Is x a prime number?
True
Let f = -444 + 434. Let u(q) = -919*q - 9. Is u(f) composite?
False
Is (-257088 - -6)*45/(-270) a prime number?
False
Let w = -2600 - -1132. Let y = w - -3291. Is y a composite number?
False
Let d be (143/(-2))/(3 - (-22)/(-8)). Let y = -62 - d. Suppose 114 = t + c, 0*c = -2*t - 3*c + y. Is t composite?
True
Let s = -9873 + 56482. Is s a prime number?
False
Let o(h) = 1756*h**2 - 31*h + 8. Is o(5) prime?
True
Let t be 2/(-5) - 14/(-10). Let x(a) = 2921*a - 7. Let m(v) = -1461*v + 4. Let q(y) = 5*m(y) + 3*x(y). Is q(t) composite?
True
Let f(x) = 9*x - 4. Let g be f(1). Suppose 5*d - 20532 = 5*w + 12523, -g*d + 33061 = -2*w. Is d a composite number?
True
Is ((8/24)/(-1 - 0))/(5/(-72915)) a prime number?
True
Suppose 0 = -10*b - 52*b + 1232643 + 2194531. Is b a prime number?
False
Let y(r) = 3053*r - 1908. Is y(23) a prime number?
True
Let u(l) = -l**3 - 4*l**2 + 11*l + 6. Let h be u(-6). Suppose -15*v + 14889 = -h*v. Is v prime?
False
Let d = 57 + -45. Suppose 5*k - 2*k - d = -5*z, -5*z + 3*k = 12. Suppose z*l - b - 22026 = -4*l, -11016 = -2*l - b. Is l a prime number?
True
Suppose 7*n + 30*n - 13364807 = -0*n. Is n a prime number?
True
Suppose -3*y - u + 100072 = 0, -5*u - 50858 + 184269 = 4*y. Is y prime?
True
Let m(q) = -q - 450*q**3 - 1 + 223*q**3 + 228*q**3. Let y(o) = -4*o**3 - 14*o**2 - 16*o + 16. Let k(p) = -5*m(p) - y(p). Is k(15) a composite number?
False
Suppose 2*t - 159138 = 113*j - 115*j, 4*t - 318274 = -5*j. Is t a prime number?
False
Let u(a) = 199*a**3 - 8*a**2 - 30*a + 43. Is u(12) a composite number?
True
Suppose -46*x - 12 = -50*x. Suppose -5*g + 6 = -3*g - 2*u, 4*g + x*u = -2. Suppose 0 = -2*b - 3*l + 385, l - g = 2*l. Is b a prime number?
False
Suppose -x - w = -24321, -66 + 68 = -w. Is x a composite number?
True
Let g(z) = -23*z**3 - 19*z**2 - 6*z + 25. Suppose -8*l + 33*l = -350. Is g(l) a prime number?
True
Let y = -280 + 305. Suppose 0*k = -y*k + 17275. Is k composite?
False
Let i = 1337473 + -188264. Is i a prime number?
True
Is (-2175536)/(-110) + (-1)/((-10)/(-6)) prime?
True
Suppose 2*c = -3*v + 33845, -2*v + 23315 = -c + 754. Is v a composite number?
True
Suppose 2*d - 443 = 5*z + 55, 0 = -4*d + 16. Let o = -91 - z. Suppose 5*t + o*t = 21084. Is t prime?
False
Let a(u) = 25*u**3 + 15*u**2 - 13*u - 5. Let f be a(9). Suppose -53775 = -19*n + f. Is n a prime number?
True
Let t be (198/(-15))/(12/40). Let s = -34 - t. Suppose s*w - 13*w = -3777. Is w a prime number?
True
Suppose 31*f = -37 - 242. Is f - (1715*18)/(-9) a prime number?
False
Let s(o) = 988*o**2 + 27*o - 412. Is s(-21) a prime number?
False
Suppose -24*z - 19*z = -3085723. Is z prime?
True
Let y = 3459 + 23594. Is y a composite number?
True
Let r be (-8)/16*-3*2. Suppose r*c + c - 14183 = 3*x, -c + x + 3546 = 0. Is c a prime number?
False
Let a = -76 - -76. Suppose -719 = -2*t + t - 2*v, t - v - 704 = a. Is t a prime number?
True
Suppose -5*u - 15 = -5, -c = -3*u - 1046. Let l = 5457 - c. Is l a prime number?
False
Let g be (-367034)/(-46) - 4/(-1 - 1). Suppose 4*n - 7990 = -2*c, c - 3*c + g = n. Is c a prime number?
True
Suppose -38*h = 3*h - 4756. Suppose -1 = -m, 0*m = o + 5*m - h. Is o composite?
True
Suppose -6*k + 433915 = -k - 4*j, 0 = -25*j + 30*j. Is k composite?
False
Let f(b) = -73*b**3 + 5*b**2 - 12*b + 7. Let k be f(4). Let v = -2732 - k. Is v a prime number?
True
Let t(q) = 26*q**3 - 6*q**2 + 23*q + 21. Let o(b) = -26*b**3 + 6*b**2 - 23*b - 21. Let g(c) = -5*o(c) - 6*t(c). Is g(-8) composite?
False
Let x(k) = -22*k + 2*k**3 - 21*k**2 + 24 - 13*k**2 + 24 + 11*k**2. Is x(19) composite?
True
Let c be 2/(-5) + (-47)/(-5). Let f(a) = -c*a - a - 162 - 3*a**3 + 2*a**3 - 9*a**2 + 167. Is f(-8) composite?
True
Let g(j) = 89*j**3 + j - 2*j**2 + 7*j**2 - 5*j - 1 + 177*j**3. Is g(4) a prime number?
False
Let y = 49 - 79. Let z(d) = -d**3 + d**2 - d + 1. Let x be z(2). Is x/(y/(-4))*-993 composite?
True
Let y = -6 + 4. Is (1/(y - -3))/(9/6057) a composite number?
False
Let q(l) = 696*l + 16. Let b be q(12). Suppose 3*v = 5*c + 2050 - b, v - 3*c = -2110. Let j = 3356 + v. Is j a composite number?
True
Let i(t) = -3245*t + 6. Let l be (3 - (-35)/(-10))*6/3. Is i(l) a prime number?
True
Suppose 0 = -3*j, 3*j + 3 - 103 = 2*f. Is (58780/f)/(2 + 12/(-5)) prime?
True
Let v(w) = w**3 - 19*w**2 + 10*w - 53. Let t(d) = d + 24. Let j be t(-3). Is v(j) prime?
True
Let a(k) = k**3 - 7*k**2 - 8*k. Let j be a(8). Suppose -8*g + 10*g - 442 = j. Let y = g - -116. Is y a composite number?
False
Let z = 187 - 108. Let m = 78 - z. Is m/5 + 4372/10 composite?
True
Let i = -563910 + 1037557. Is i prime?
True
Suppose -82 - 140 = -3*n. Suppose t - n = 700. Suppose j = 5*m + t, 0*j - 5*m = 4*j - 3121. Is j prime?
False
Suppose 31*b = 9*b + 5513200. Is 10/6 - (-13)/(156/b) a composite number?
True
Let r = -3880 + 10537. Suppose -4*y + 6295 = 3*a - r, 4*y - 5*a = 12920. Is y a composite number?
True
Let y = 4663 + 7050. Suppose -36*x + 49*x = y. Is x prime?
False
Is 1/((-1727892)/1727919 + 3/3) a prime number?
True
Suppose -67*b + 1513264 = -11*b - 40*b. Is b composite?
True
Let q(c) = 1398*c**2 + 50*c + 19. Is q(8) a composite number?
False
Let k = 35 - 33. Suppose -3*c - k = -5*q + 1, 0 = -q + 3. Suppose -u - c*u = -5755. Is u prime?
True
Is 221394 + (-3 - 0)/(135/(-25) - -6) composite?
True
Is -157827*(-10 - 464/(-48)) a composite number?
False
Let w = 4557 - 3200. Is w a prime number?
False
Suppose 5*k = -i + 20, 2*i = 2*k + 7 - 3. Let m be k/4 - ((-50)/8 - -2). Let v(q) = 4*q**2 + 4*q + 9. Is v(m) composite?
True
Is 1563854 - 1 - 15*(64/20)/(-8) a prime number?
False
Let n(v) = 9*v**2 + 118*v + 854. Is n(-75) composite?
True
Suppose 2*k - 3236 = 3*g + 50, -4*g = k - 1632. Let d = k - -333. Is d prime?
True
Let a(s) = s**2 - 31*s + 184. Let v be a(23). Suppose 13*t - 15302 - 12375 = v. Is t a composite number?
False
Suppose -74*i + 3*p = -77*i + 111999, 4*i - 5*p - 149368 = 0. Is i composite?
False
Let q be ((-36)/6 + 7)/(2/4). Let a be 1 - q/8 - 5012/112. Let l = a + 438. Is l prime?
False
Let k be (-1)/(30/44 - (-16)/(-88)). Is 1*(-4)/((-16)/(-22858))*k composite?
True
Suppose -31*z + 61811 = 12707. Suppose -4*u - 23 + 8 = 3*b, b + 5 = 3*u. Suppose u = -w - 4*g + 381, 4*w = -g + z. Is w prime?
True
Let p = 1080081 + -742284. Suppose -137*i + 146*i = p. Is i composite?
True
Is (-1751526)/12*(-4 - (-10)/3) a composite number?
True
Suppose 0 = -56*m + 19524777 - 9449740 + 48505835. Is m a prime number?
False
Let f = 113 + -109. Suppose 8 = 4*t + 2*v, -3*t + 7 - 3 = v. Suppose t = -2*l + p + 1044, 4*l = -0*l - f*p + 2076. Is l a prime number?
True
Suppose -2*r + 54 = 3*c, -3*r + 7*r - 88 = -c. Suppose -r*a + 44433 = -12*a. Is a a prime number?
True
Let l = 172705 - 120054. Is l a prime number?
False
Suppose -3*u = -0*u - 5*w + 10, -5*u + 15 = -2*w. Let s(g) = 8*g**2 - 13*g - 1208. Let c be s(-28). Suppose -c = u*y - 9*y. Is y prime?
False
Let b be (-4)/6 + (33416/12 - 3). Let y = b + -691. Suppose -5*o = -y - 3405. Is o a composite number?
True
Suppose 0 = -2*x + t + 244137, 0 = 97*x - 102*x + 4*t + 610341. Is x a composite number?
False
Suppose 133337463 = 281*a + 31*a - 23622561. Is a prime?
True
Suppose 2*w = 2*u - 2, 5*w = -u + 2*u + 7. Suppose -4*l - 13 - u = 0. Is -3 - (l/(-4) - 883) a composite number?
True
Is 31 + -32 + (104283 - 1/1) a prime number?
True
Let b be 27/81 + -1 + 9934/6. Suppose b = -27*g + 28*g. Is g a composite number?
True
Let u(o) = -6*o**2 + 3*o + 10. Let y(z) = z**2 - 1. Let k(w) = u(w) + 5*y(w). Let n be k(-2). Let i = 636 - n. Is i a prime number?
True
Suppose 5*o - 3*y - 154564 = 0, -5*o - 2*y - 92739 = -8*o. Suppose -5*z + o = 11076. Is z a composite number?
False
Suppose 504*d = 484*d + 149420. Is d a composite number?
True
Let j(b) = -3*b**2 - 499. Let q(o) be the third derivative of o**5/6 + 749*o**3/3 - 10*o**2. Let c(s) = -7*j(s) - 2*q(s). Is c(0) prime?
False
Is ((-2)/(22/(-3201)))/((-15)/(-21445)) prime?
False
Suppose 3*i = 108*w - 111*w + 1596699, -5*i - 2*w + 2661189 = 0. Is i composite?
False
Let z be (-237)/12 + (-4)/16. Let a(m) = -2*m - 22. Let b be a(z). | {
"pile_set_name": "DM Mathematics"
} |
e prob of picking 1 b and 3 n when four letters picked without replacement from wnnnwnsbnnnnnnnnsns.
143/1938
What is prob of picking 1 h and 2 b when three letters picked without replacement from bbbbhhihibihbhiiibh?
42/323
Four letters picked without replacement from {r: 10, u: 9}. What is prob of picking 4 r?
35/646
Two letters picked without replacement from mieeimieeeiecm. What is prob of picking 2 m?
3/91
Three letters picked without replacement from {b: 1, k: 1, l: 1, p: 1, v: 2, h: 2}. Give prob of picking 1 b and 2 v.
1/56
Three letters picked without replacement from vrsrrrrrrrvrvrrrr. What is prob of picking 1 s and 2 r?
39/340
What is prob of picking 2 l and 1 p when three letters picked without replacement from {l: 2, x: 2, p: 11}?
11/455
Calculate prob of picking 2 k and 2 o when four letters picked without replacement from oukouookooo.
7/110
Two letters picked without replacement from xssshxkssssksshk. Give prob of picking 1 x and 1 s.
3/20
Three letters picked without replacement from yxnsx. What is prob of picking 2 x and 1 n?
1/10
Two letters picked without replacement from {k: 3, a: 3, f: 12, l: 2}. Give prob of picking 2 a.
3/190
What is prob of picking 1 t, 1 e, and 1 r when three letters picked without replacement from {r: 2, e: 3, q: 1, f: 3, x: 7, t: 1}?
3/340
Four letters picked without replacement from hhnnhhhnhnh. What is prob of picking 3 h and 1 n?
14/33
What is prob of picking 2 y when two letters picked without replacement from {m: 1, d: 1, y: 5, c: 2}?
5/18
What is prob of picking 1 o and 1 g when two letters picked without replacement from lwldlgloowndl?
1/39
Two letters picked without replacement from {d: 4, f: 1, l: 4, o: 5, p: 1, w: 3}. What is prob of picking 1 f and 1 w?
1/51
What is prob of picking 1 g and 1 a when two letters picked without replacement from {d: 1, g: 2, h: 2, y: 1, a: 2}?
1/7
Two letters picked without replacement from dkdddusudddcjdkddu. What is prob of picking 2 d?
5/17
Four letters picked without replacement from {j: 1, y: 1, u: 1, t: 2}. What is prob of picking 2 t, 1 j, and 1 u?
1/5
Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {k: 2, p: 3, t: 2, w: 4}.
4/55
Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {c: 3, k: 2, l: 4, u: 2, m: 1}.
3/220
What is prob of picking 1 v, 1 p, 1 h, and 1 l when four letters picked without replacement from {p: 1, l: 8, v: 2, x: 1, m: 1, h: 1}?
16/1001
What is prob of picking 2 k and 1 p when three letters picked without replacement from xppgppptekkkktp?
36/455
Calculate prob of picking 1 w, 1 a, and 1 g when three letters picked without replacement from aggjwgcggvgggc.
2/91
Two letters picked without replacement from jlzzljhlciilczizc. What is prob of picking 1 j and 1 c?
3/68
Calculate prob of picking 4 i when four letters picked without replacement from {o: 3, i: 5, l: 3}.
1/66
Calculate prob of picking 1 s, 1 f, and 1 z when three letters picked without replacement from fssofzooozonohoozosn.
3/190
What is prob of picking 2 v and 1 d when three letters picked without replacement from {d: 7, v: 3}?
7/40
Three letters picked without replacement from tddtt. Give prob of picking 1 d and 2 t.
3/5
What is prob of picking 2 z when two letters picked without replacement from pzvvppvvvzpzzz?
10/91
Two letters picked without replacement from ooqqqroxoqmxqrq. Give prob of picking 1 r and 1 o.
8/105
What is prob of picking 2 z when two letters picked without replacement from lluilllllizzzzlliul?
2/57
Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {d: 5, y: 7}.
7/22
Two letters picked without replacement from {m: 2, i: 8}. What is prob of picking 2 m?
1/45
Calculate prob of picking 1 u, 1 b, and 1 f when three letters picked without replacement from kbfkbbukybcbykyyyyyf.
1/114
Two letters picked without replacement from guadf. Give prob of picking 1 d and 1 u.
1/10
Calculate prob of picking 4 b when four letters picked without replacement from {b: 6}.
1
Four letters picked without replacement from mmmmxmmmmmmm. What is prob of picking 3 m and 1 x?
1/3
Calculate prob of picking 1 l, 1 g, and 1 e when three letters picked without replacement from lelggggeeglegllgll.
49/204
Calculate prob of picking 1 m and 1 s when two letters picked without replacement from xmusmx.
2/15
Four letters picked without replacement from ubbubdyumubuuybbbdd. What is prob of picking 1 y, 1 u, 1 d, and 1 b?
21/323
Three letters picked without replacement from zzzzbzzzb. What is prob of picking 1 z and 2 b?
1/12
Four letters picked without replacement from {g: 10, h: 3, p: 2}. Give prob of picking 2 p and 2 g.
3/91
Calculate prob of picking 1 k and 1 z when two letters picked without replacement from qzzqqqkqz.
1/12
Two letters picked without replacement from {e: 16, o: 2}. Give prob of picking 1 e and 1 o.
32/153
What is prob of picking 3 h when three letters picked without replacement from thhhhhhh?
5/8
Four letters picked without replacement from {n: 10, t: 6, o: 4}. What is prob of picking 1 t and 3 n?
48/323
What is prob of picking 1 r and 1 k when two letters picked without replacement from klkr?
1/3
What is prob of picking 1 s, 1 v, and 1 f when three letters picked without replacement from {v: 2, d: 7, s: 1, f: 7}?
7/340
Calculate prob of picking 2 j and 2 g when four letters picked without replacement from {g: 3, j: 3}.
3/5
Three letters picked without replacement from clpadjd. What is prob of picking 1 d, 1 j, and 1 p?
2/35
Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {f: 1, i: 18}.
0
What is prob of picking 2 r, 1 q, and 1 l when four letters picked without replacement from {q: 4, e: 3, l: 2, r: 4, p: 1}?
48/1001
Three letters picked without replacement from vvssvsrssv. Give prob of picking 1 r, 1 s, and 1 v.
1/6
Four letters picked without replacement from qptpttwkttbqpttpwbk. What is prob of picking 1 w, 1 b, 1 p, and 1 t?
28/969
Two letters picked without replacement from {j: 3, n: 4, w: 1}. Give prob of picking 2 n.
3/14
Four letters picked without replacement from tsxitttx. What is prob of picking 4 t?
1/70
What is prob of picking 2 x and 2 q when four letters picked without replacement from {b: 2, q: 3, k: 1, f: 6, x: 2, v: 5}?
1/1292
Three letters picked without replacement from rrrprprtrrrrtrtrr. What is prob of picking 1 r and 2 p?
3/170
Four letters picked without replacement from vypwcdw. Give prob of picking 2 v and 2 w.
0
Two letters picked without replacement from pmmtmttmtttmtm. Give prob of picking 2 m.
15/91
What is prob of picking 1 q and 1 h when two letters picked without replacement from bbhqbqbqb?
1/12
Two letters picked without replacement from ccfecczeecqcf. What is prob of picking 1 c and 1 e?
3/13
Three letters picked without replacement from bbbbbbtbbbttbbbb. What is prob of picking 2 b and 1 t?
117/280
Two letters picked without replacement from sjpjsjgjsbqgjjq. What is prob of picking 1 s and 1 p?
1/35
Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {k: 4, r: 1, t: 1, x: 2}.
1/14
Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {n: 8, g: 5, h: 7}.
7/57
Calculate prob of picking 4 n when four letters picked without replacement from nnwnnnnnvwwnwwnv.
9/130
Four letters picked without replacement from {o: 3, j: 2}. Give prob of picking 1 j and 3 o.
2/5
What is prob of picking 2 o when two letters picked without replacement from {w: 1, o: 3, a: 1}?
3/10
Two letters picked without replacement from {i: 1, k: 1, n: 2, r: 5}. Give prob of picking 1 n and 1 i.
1/18
Calculate prob of picking 2 z and 1 o when three letters picked without replacement from {k: 5, z: 4, p: 5, o: 1}.
6/455
Two letters picked without replacement from {o: 3, v: 5, c: 1, q: 3, l: 1, w: 1}. Give prob of picking 1 l and 1 v.
5/91
Two letters picked without replacement from {e: 1, h: 2, o: 1, a: 1}. What is prob of picking 1 h and 1 e?
1/5
Two letters picked without replacement from {j: 1, t: 1, r: 1, g: 1, q: 1}. What is prob of picking 1 g and 1 r?
1/10
Two letters picked without replacement from xhcjjhcscchu. Give prob of picking 1 j a | {
"pile_set_name": "DM Mathematics"
} |
ple of 26 and t?
104
Calculate the common denominator of (-79640)/(-1680) - (-2)/21 and (194/10)/(20/25).
4
Let v(p) = -17*p - 264. What is the lowest common multiple of 22 and v(-16)?
88
Let l = 1023485/6 - 170955. Let q = l + 705/2. What is the common denominator of (-60)/125*10/(-3) and q?
15
Let d be (33/9)/11 - (-2)/3. Find the common denominator of 101/10 and (-4205)/348 + 2*d.
60
Let r = 67 - -731. Calculate the least common multiple of r and 14.
798
Suppose 3*z = 4*z + 5*h + 12, 0 = 4*z - 3*h + 2. Let l = -52 - -51. Find the common denominator of 0 + z + l + 25 and 53/6.
6
Suppose 0 = -2550*d + 2546*d + 460. Calculate the least common multiple of 138 and d.
690
Suppose -p + 11 = -2*k, -3 - 7 = -2*p. Let b be -2*(-2 + 1 + k). Suppose -2*y + 3*c + b = 7*c, -c = 2. Calculate the least common multiple of y and 22.
88
Suppose 3*p - 1407 = -m + 848, 6745 = 3*m - p. Let t = m - 13573/6. Let v = -11417 - -182585/16. What is the common denominator of t and v?
48
Calculate the smallest common multiple of 50 and 2584/85 + (-6)/(-10) + -1.
150
Suppose n - b = 15 - 43, 79 = -3*n + 2*b. Let x = -45/2 - n. Calculate the common denominator of 111/14 and x.
14
What is the common denominator of 157/60 and 3/(-30)*-82 - (-20)/(-40)?
60
Let k = -13/36 + -257/36. Calculate the common denominator of k and 41/192.
192
Suppose 4*n = 8, 3*j - n = 4*j + 7. Let r = j + 0. Let b(y) = y**2 + 7*y - 8. What is the smallest common multiple of 8 and b(r)?
40
Let m = 57 - 43. Find the common denominator of 3/28 and (15 - 15) + 33/m.
28
Let t = -11375 - -204631/18. Calculate the common denominator of -151/24 and t.
72
Let v(a) = a**3 + 4*a**2 + 6*a - 4. Let i be v(-5). Let n = i - -17. Find the common denominator of 32/11 and n/(-70) - 383/30.
66
Let z be (9/(-66))/(3/(-155)). Let l = -13/2 + z. Find the common denominator of l and (-4)/(-6)*(-32)/6.
99
Let w be (3 + (-10)/15)/((-2)/(-30)). Suppose w*y = 39*y - 144. Calculate the lowest common multiple of y and 36.
36
Suppose 0 = 5*t - 8*t + 240. Calculate the smallest common multiple of t and 80.
80
Let y(q) = -7*q - 1. Let x be y(-7). Let z = -6 + 4. Find the common denominator of 45/16 and 0 + 171/x + z.
16
Let o(y) = 6*y**3 + 7*y + 10. Let t be o(8). Let r = 34552/11 - t. Calculate the common denominator of r and 26/5.
55
Suppose -5*c - 83 = -228. Let n = -13 + c. What is the common denominator of n and -41/8?
8
Let x be (-170)/(-15) - (-2)/3. What is the least common multiple of 4/x - (-65)/3 and (-32)/(-10)*(-8 - 357/(-34))?
88
Let x = 4618/191 + 5238463/2674. Let i = -1987 + x. Find the common denominator of i and 101/60.
420
What is the common denominator of (-30)/(-50) - 13/(-15) and -28/375?
375
Let u = -448267/487812 - 33/3127. What is the common denominator of u and 53/12?
156
Suppose 0 = 2*k - 14 + 10. Calculate the common denominator of 2/7 + 814/(-56) and ((-212)/4)/(20/k).
20
Find the common denominator of (535/50)/(1/1) and 3 + -7 - (-10)/(-14).
70
Let j = -2168566 + 34753087/16. Let f = 3508 - j. Calculate the common denominator of f and (47/(-24))/(4/6).
16
Calculate the common denominator of -69/10 and (-18)/168*402/45.
70
Let q be 0 + 2445/25 + 0. Let v = 8527/90 - q. What is the common denominator of (-2)/3 + 218/(-96) and v?
144
Suppose -q + 2*q = 42. Let a(r) = -9*r + 20. Let u be a(7). Let l = -23 - u. Calculate the lowest common multiple of l and q.
420
Let u = -1380 - -2086. Calculate the least common multiple of u and 12.
4236
Let x be ((-3)/2)/(3/(-60)). Calculate the common denominator of (-163)/15 + (25/x)/5 and (-47)/(-7) + (2 - 1).
70
Let v(i) = i**3 - 10*i**2 - 39*i + 6. Suppose -3*r + 6*r = 93. What is the smallest common multiple of v(13) and r?
186
Let b(i) = -2*i + 4. Let a be b(-2). Suppose 0*f - a = -4*r - 3*f, 4*f = -2*r + 4. What is the common denominator of 13/8 and (-2)/r - 217/21?
24
Suppose -o - 21 = o - 5*r, -5*r + 23 = -o. Let n be 1033264/299090 - o/(-11). Let w = 2/13595 - n. Find the common denominator of w and -48/5.
55
Suppose 0 = -4*b + b + 18. Let w(q) = q**3 - 5*q**2 + 6*q - 3. Let k(g) = -g**2 + 5*g - 2. Let x be k(3). Calculate the least common multiple of b and w(x).
30
Suppose -30*a = 9*a - 234. Calculate the least common multiple of 1710 and a.
1710
Let z = -561 + 570. What is the least common multiple of z and (-9)/(-18) + 59/2?
90
Suppose 7 + 82 = 3*x - b, 2*x - 65 = -5*b. Let f = 20 - x. What is the common denominator of -149/18 and ((-118)/42)/(f/15)?
126
Let g = 17 - 13. Suppose i + 70 = -g*i. What is the lowest common multiple of 8 and (-4)/(-14) + (-108)/i?
8
Let u = 2823/4 + -693. Find the common denominator of -1/1358 and u.
2716
Suppose 3 = -k + 4*w, w = 5*k - 2*w - 2. Calculate the common denominator of k/(984/(-249) + 4) and 63/22.
44
Let v = 459 - 187. Find the common denominator of ((-17)/v)/(2/166) and 15/2.
16
Suppose -3*u + 20 = 2. Suppose -2*v + b = -11, -u*b + 4*b + 5 = 5*v. What is the smallest common multiple of 15 and v?
15
Let x = -327/8 - -2555/72. Find the common denominator of -137/354 and x.
1062
Let g be 6 + (1*(3 - 4) - -3). Find the common denominator of -63/4 and g/6*(-369)/(-432).
36
Let j(d) = -d**2 + 6*d + 9. Let n be j(7). Find the common denominator of n/4 + (-102)/40 and 95/16 + 270/720.
80
Let x(k) = -k + 16. Let a be x(17). Calculate the least common multiple of a - (-5 - (-5)/5) and 2.
6
Suppose 0 = 8*z - 3*z + 115. Let p = z + 39. What is the lowest common multiple of p and 12?
48
Let l = 7463 - 89611/12. What is the common denominator of -31/56 and l?
168
Let x = -68947841 + 6205161917/90. Let o = x - -7977/5. What is the common denominator of o and 69/8?
360
Let f(z) = 4*z - 17. Let b be f(5). Suppose 11 = 7*w - b. What is the lowest common multiple of 1 and w?
2
Let a(i) = -i + 27. Let l be a(12). Find the common denominator of l/25 + (-674)/140 and 67/20.
140
Suppose -p + 94 - 80 = 0. Calculate the lowest common multiple of 8 and p.
56
Let g(i) = 4*i**3 + 37*i**2 + 15*i + 61. What is the lowest common multiple of g(-9) and 343?
343
Let h be (-1 - -2)*(-1510)/4. Let z = h - -351. Find the common denominator of z and (-80)/6 + -3 + 0.
6
Let y = -4333/192 + 15/64. Find the common denominator of -55/8 and y.
24
Let u = 1 + 5. What is the lowest common multiple of u and 63/(-3)*1/(-1)?
42
Let v(m) = -m**2 + 24*m + 5. Let q = 75 - 51. Calculate the smallest common multiple of v(q) and (-6)/(-21) - 54/(-7).
40
Let s = 1214 - 19447/16. What is the common denominator of -101/22 and s?
176
Suppose 0 = 6*n - 2*n + 5*q + 81, 2*q = -2*n - 42. Let k = 80 + n. Suppose -24 = -5*y + k. What is the least common multiple of y and 16?
16
Let t(y) = y**3 + 7*y**2 + 5*y + 16. Find the common denominator of t(-4) and -1/3.
3
Suppose 4151*v - 4149*v = 132. Let m = -1 + 9. What is the smallest common multiple of v and m?
264
Find the common denominator of 67/175 and (-786)/(-84)*(-4 - (-21)/5).
350
Let x = 3417256/283 - 12075. Let b = 20527/3962 - x. Find the common denominator of -109/20 and b.
140
Suppose -33 = -8*m + 5*m. Calculate the smallest common multiple of m and 97.
1067
Let m = 3 - -1. What is the lowest common multiple of (-157 + 3)/(-11) + -8 and m?
12
Calculate the smallest common multiple of 2/20 + (-6664)/(-560) and (1*6)/((-4)/(-6)).
36
What is the smallest common multiple of (-2 - 173/(-9)) + (-10)/45 and 9?
153
Suppose -13*s = 60*s - 26718. What is the lowest common multiple of s and 12?
732
What is the common denominator of (67 - 13)/(-6) - 1304/(-148) and (-92)/12*(-3)/(-11)?
407
Let g(h) = 5*h - 5*h**2 + 2*h + 7 + 3 - h**3 + 2*h. Let i be g(-7). Find the common denominator of 97/20 and i/(-105) + 153/112.
80
Find the common denominator of (310/40 + -9)/(6/(-104)) and -19/84.
84
Let d be (19 - -1)*12/15. Suppose -o - d = -5*o. What is the smallest common multiple of 14 and o?
28
Suppose 4*w + 56 = 6*w. Let q be (-2)/(-7) - (-11101)/w. Let u = -422 + q. What is the common denominator of 47 and u?
4
Let i(t) = 8*t**2 - 24*t - 25. What is the smallest common multiple of 35 and i(-1)?
35
Calculate the common denominator of (-34 - 7) + 8/4 and 15.
1
Let s = 350551/20 - 17528. Calculate the common denominator of s and (-2)/(-16)*134/4.
80
What is the common denominator of 13/324 and -3 + (-40)/(-12) - 1253/462?
3564
Let | {
"pile_set_name": "DM Mathematics"
} |
s seven halves of a meter in millimeters?
3500
How many nanometers are there in 2.997739um?
2997.739
How many micrograms are there in 68564.47 tonnes?
68564470000000000
What is 0.544977s in microseconds?
544977
Convert 13861.4 grams to micrograms.
13861400000
How many meters are there in 19/4 of a kilometer?
4750
How many millilitres are there in eleven eighths of a litre?
1375
How many years are there in 3/10 of a decade?
3
Convert 602432.6cm to kilometers.
6.024326
How many millilitres are there in one twentieth of a litre?
50
What is 1/6 of a day in seconds?
14400
What is 11/4 of a kilometer in meters?
2750
How many kilograms are there in 8636.606 milligrams?
0.008636606
What is 21/5 of a centimeter in millimeters?
42
How many meters are there in 29.66397km?
29663.97
How many micrograms are there in one fifth of a milligram?
200
What is 21/4 of a century in years?
525
How many decades are there in 76.71738 centuries?
767.1738
Convert 5.625558 years to months.
67.506696
Convert 2.857698us to minutes.
0.0000000476283
What is twenty-five quarters of a kilogram in grams?
6250
Convert 0.5559576nm to millimeters.
0.0000005559576
What is 95870.82g in micrograms?
95870820000
How many millimeters are there in 1/4 of a meter?
250
What is 3/10 of a millennium in months?
3600
Convert 6125.682 decades to centuries.
612.5682
How many milliseconds are there in 2868.894 days?
247872441600
Convert 0.8438559 years to millennia.
0.0008438559
How many millilitres are there in thirteen fifths of a litre?
2600
How many millilitres are there in 245.3395 litres?
245339.5
What is 34/5 of a millisecond in microseconds?
6800
How many months are there in 3/8 of a decade?
45
How many years are there in 37/5 of a millennium?
7400
How many months are there in 69.86653 millennia?
838398.36
What is seven quarters of a kilogram in grams?
1750
What is 27/4 of a hour in minutes?
405
What is 791372.5 millilitres in litres?
791.3725
Convert 27543.48um to nanometers.
27543480
What is 1.6999632 milliseconds in minutes?
0.00002833272
How many seconds are there in 25/2 of a minute?
750
What is one quarter of a decade in months?
30
How many nanoseconds are there in 68482.6 seconds?
68482600000000
Convert 18019.16g to milligrams.
18019160
How many years are there in 37/5 of a century?
740
What is 17/4 of a decade in months?
510
What is 21/2 of a gram in milligrams?
10500
Convert 30.04747 micrometers to millimeters.
0.03004747
What is twenty-one fifths of a gram in milligrams?
4200
How many grams are there in 17/4 of a kilogram?
4250
What is six fifths of a microgram in nanograms?
1200
Convert 7.704866 grams to nanograms.
7704866000
How many seconds are there in one fifteenth of a day?
5760
How many minutes are there in one eighteenth of a week?
560
How many decades are there in one quarter of a millennium?
25
How many micrometers are there in 5.640039 nanometers?
0.005640039
How many minutes are there in 8/15 of a day?
768
Convert 0.210279 litres to millilitres.
210.279
Convert 0.1449393 millennia to years.
144.9393
What is 428.2093 nanograms in grams?
0.0000004282093
What is 34092.63ml in litres?
34.09263
How many months are there in 68/3 of a year?
272
How many micrometers are there in 5936.991 centimeters?
59369910
How many kilograms are there in 0.191254 nanograms?
0.000000000000191254
How many years are there in 7134.048 centuries?
713404.8
Convert 4487597.1 hours to weeks.
26711.8875
How many months are there in 729332.5 millennia?
8751990000
Convert 546574.6mg to kilograms.
0.5465746
How many seconds are there in sixty-four thirds of a minute?
1280
How many nanograms are there in 1.884459 tonnes?
1884459000000000
How many millilitres are there in 7048.268 litres?
7048268
What is eleven quarters of a kilometer in meters?
2750
Convert 144695.6cm to micrometers.
1446956000
Convert 8.53862 days to microseconds.
737736768000
Convert 2.234439 years to millennia.
0.002234439
How many grams are there in 3/40 of a tonne?
75000
How many millilitres are there in 0.919476l?
919.476
What is 6/25 of a minute in milliseconds?
14400
How many grams are there in 57/5 of a kilogram?
11400
What is 0.9637887t in nanograms?
963788700000000
How many grams are there in 516.5532 nanograms?
0.0000005165532
How many months are there in three tenths of a century?
360
What is 6.070951 litres in millilitres?
6070.951
How many months are there in 17/2 of a year?
102
Convert 972.5478um to nanometers.
972547.8
Convert 909.2583 nanoseconds to minutes.
0.000000015154305
How many milligrams are there in 275.738ng?
0.000275738
How many centuries are there in 216.9202 millennia?
2169.202
How many millilitres are there in nine tenths of a litre?
900
Convert 69.52601 litres to millilitres.
69526.01
How many centuries are there in 97.19519 decades?
9.719519
What is ninety-three quarters of a meter in millimeters?
23250
Convert 1613.146 hours to microseconds.
5807325600000
What is seven quarters of a litre in millilitres?
1750
How many years are there in 29/5 of a century?
580
What is one twentieth of a tonne in grams?
50000
What is fifty-three quarters of a millennium in decades?
1325
How many months are there in 7/2 of a decade?
420
How many milliseconds are there in 43.82503 seconds?
43825.03
How many seconds are there in 5554.426ns?
0.000005554426
How many millilitres are there in 901.5494 litres?
901549.4
What is 0.4327823 kilometers in micrometers?
432782300
How many centimeters are there in 13/5 of a meter?
260
Convert 33.26379 minutes to nanoseconds.
1995827400000
How many nanoseconds are there in 25/4 of a microsecond?
6250
Convert 73.54088l to millilitres.
73540.88
How many micrometers are there in six fifths of a millimeter?
1200
How many micrometers are there in fourty-six fifths of a centimeter?
92000
How many millilitres are there in twenty-five quarters of a litre?
6250
What is twenty-seven quarters of a kilogram in grams?
6750
How many milligrams are there in twenty-one quarters of a gram?
5250
Convert 1689.991l to millilitres.
1689991
What is 1961.207l in millilitres?
1961207
What is 17/2 of a year in months?
102
How many centuries are there in one fifth of a millennium?
2
Convert 9655.5 kilograms to micrograms.
9655500000000
Convert 970.8227m to nanometers.
970822700000
What is twenty-nine halves of a millennium in decades?
1450
Convert 299307.12 seconds to minutes.
4988.452
What is seventy-three quarters of a litre in millilitres?
18250
Convert 51031.51 tonnes to milligrams.
51031510000000
How many months are there in 7/3 of a millennium?
28000
What is 5.488029 millilitres in litres?
0.005488029
What is 0.076546km in centimeters?
7654.6
Convert 7.175938 millimeters to meters.
0.007175938
How many millilitres are there in 10416.1l?
10416100
How many meters are there in fifty-five quarters of a kilometer?
13750
How many years are there in 40.29637 centuries?
4029.637
What is one quarter of a milligram in micrograms?
250
How many months are there in 86834.95 millennia?
1042019400
What is 37/5 of a kilogram in grams?
7400
What is 0.6333257 kilograms in grams?
633.3257
What is 5/6 of a millennium in months?
10000
What is seven quarters of a kilogram in grams?
1750
How many nanograms are there in one fifth of a microgram?
200
Convert 5814.021 months to decades.
48.450175
How many milliseconds are there in 9375.263 minutes?
562515780
Convert 308.0753ml to litres.
0.3080753
What is fifteen sixteenths of a minute in milliseconds?
56250
What is 0.0168602cm in meters?
0.000168602
Convert 73.16938 millilitres to litres.
0.07316938
How many months are there in two fifteenths of a decade?
16
What is 447.8952 days in seconds?
38698145.28
How many microseconds are there in nineteen quarters of a millisecond?
4750
Convert 704972.5 weeks to minutes.
7106122800
How many millilitres are there in 25/2 of a litre?
12500
What is 297.931ml in litres?
0.297931
How many kilograms are there in 7/4 of a tonne?
1750
What is 49.92436 grams in tonnes?
0.00004992436
What is 3/40 of a litre in millilitres?
75
Convert 2759.728 kilograms to tonnes.
2.759728
Convert 641.825l to millilitres.
641825
How many months are there in 7/2 of a millennium?
42000
What is 2041.3239 months in centuries?
1.70110325
How many decades are there i | {
"pile_set_name": "DM Mathematics"
} |
1*-1?
1/7
What is (9/(-4))/((-1587)/8464)?
12
Calculate ((-2)/12*-2)/((-1104)/1472).
-4/9
Evaluate 2208/(-115)*(-195)/1716.
24/11
(-8)/(-39)*(-630)/(-280)
6/13
What is ((-2)/(-18))/(72/36)*-4?
-2/9
(6*(-70)/(-8400))/((-4)/(-5))
1/16
Calculate (2710/11924)/((-30)/(-33)).
1/4
Evaluate 3/(-2)*(-1360)/(-255).
-8
What is ((-7)/(-84)*4)/(-1)*252/14?
-6
What is the value of ((-4152)/(-8996))/(1/((-104)/(-6)))?
8
Calculate 578/(-34)*(-13)/(-13).
-17
Calculate (((-40)/(-52))/(-10))/1.
-1/13
Calculate (3/(-45)*-5)/(((-14)/(-108))/(-7)).
-18
550/(-77)*3/15
-10/7
Evaluate (-18)/(-12)*16678/(-807).
-31
Evaluate (1*(-2)/(-104))/(((-392)/224)/7).
-1/13
Calculate 1*(368/160)/((-5)/10)*5.
-23
What is (5/2)/((-214)/(-856))?
10
What is (-8*11/66)/((3/(-3))/(-1))?
-4/3
(((-2400)/(-220))/(-30))/(9/66*-2)
4/3
(12/(-2))/(21*(-1)/(-49))
-14
What is the value of 12552/18305*(-28)/6?
-16/5
(-30)/3*(-20)/(-30)*(-9)/48
5/4
What is the value of (3*1/24)/((-7)/(-392))?
7
What is (-333)/(-74)*(-12)/(-729)*(-6)/(-4)?
1/9
Evaluate ((-12)/(-231))/((-48)/56*1)*-6.
4/11
Calculate 1*5*90/(-50).
-9
What is the value of 3*(40/48*3)/((-3)/6)?
-15
What is the value of 7*14*(-1135)/7945?
-14
What is (-2)/((-106)/159*-2*(-1)/(-6))?
-9
What is the value of (-696)/928*276/9?
-23
Calculate (12348/(-4802))/((-1)/7).
18
What is (-45)/630*(-1)/((6/2)/18)?
3/7
Calculate (-5)/285*-12*7/(-14).
-2/19
Evaluate (780/8)/(-15)*2.
-13
What is ((-21)/((-84)/(-32)))/(-2)?
4
Evaluate 24/(240/7)*(125/70)/5.
1/4
Calculate ((-46)/69)/((-48)/(-64)).
-8/9
What is (-1672)/(-132)*(-90)/60?
-19
Evaluate 12/(-9)*-18*(-8)/1248.
-2/13
What is the value of (63/(-49))/(5/(-35))?
9
Calculate ((-143)/(-117)*-9)/1.
-11
Evaluate (-32)/72*1*30/(-20).
2/3
(-112)/(-14)*((-16)/108)/((-8)/6)
8/9
(((-2)/(-6))/((-8)/48))/(18/99)
-11
What is the value of -196*4/(-32)*(-6)/(-7)?
21
Evaluate (10/(-5))/(4/(-6)*48/(-128)).
-8
What is (360/(-210))/(((-3)/36)/(28/36))?
16
Calculate 70/(-60)*((-12)/(-7))/(-4).
1/2
Evaluate (8/96)/(((-55)/10)/(-11))*30.
5
What is the value of ((-15)/(-175))/(105/49)?
1/25
((-86)/301)/(45/42)
-4/15
-13*(-13)/(-169)*8
-8
Evaluate 4/(-5)*-12*595/(-408).
-14
What is ((39/18)/13)/((-8)/624)?
-13
((-24)/4)/(-12)*3/(3/38)
19
Calculate ((-92)/(-115))/(18/(-50))*6/16.
-5/6
Calculate (-2)/21*3*(-27)/((-594)/11).
-1/7
What is (-19)/(-323)*2*34?
4
What is the value of ((-12)/9)/((56/(-27))/(-14))?
-9
Calculate (((-3)/((-45)/12))/(8/(-80)))/(-2).
4
Evaluate (-8)/10*(1/(-6))/((-91)/(-455)).
2/3
What is 65/(-52)*16/1?
-20
What is ((-3)/(-15))/((-1)/(-175)*(-8946)/(-284))?
10/9
Calculate (-4)/15*-3*150/(-60).
-2
Calculate 2*(-53)/((-53)/(-6)).
-12
What is (32/(-12))/8*-6?
2
((-8)/(-5))/((15/(-50))/(102/(-16)))
34
(-728)/12*(-60)/140
26
(-13)/((-4)/8*5/(-20)*-8)
13
What is (-8*18/(-256))/((-3)/(-4))?
3/4
Evaluate ((-50)/7)/1*40/2000*-140.
20
((-20)/30)/(40/(-45))
3/4
What is (-16)/(-1176)*-9*(-84)/18?
4/7
Evaluate ((-6)/(-6))/((2/1)/(2670/89)).
15
What is (221/13)/(-34)*-2?
1
What is (56/(-1764)*-27)/(9/(-42)*-1)?
4
Evaluate (-1)/(1/3*12/96*-36).
2/3
Calculate ((-44)/132)/(3/405*3).
-15
What is the value of (105/15)/((-1)/(-2))?
14
What is the value of (11/(-3))/11*33?
-11
What is the value of 88/(-6)*(-1467)/978?
22
(-9)/8*(-542)/(-271)
-9/4
Evaluate (30/14)/((-72)/(-504)).
15
(-3)/35*((-70)/12)/(-7)
-1/14
What is the value of (-4)/24*2*(-45)/3*2?
10
Calculate -1*((-16)/12)/((-48)/(-108)).
3
Calculate 33/((-528)/(-304))*2/2*-1.
-19
Calculate 388/(-16490)*10/(-2).
2/17
Evaluate 3*-6*(-108)/(-324).
-6
What is 4/12*(-8)/20*1?
-2/15
(-1*(-6)/(-32))/(10/(-40))*1
3/4
What is the value of 4/16*(-30)/4*26/130?
-3/8
Calculate (36/(-63))/((-96)/(-2352)).
-14
What is the value of (-5*(-9)/(-1800))/(4/((-288)/9))?
1/5
What is the value of (((-11)/((-33)/(-4)))/10)/(136/40)?
-2/51
Calculate 165/(-66)*(803/(-584))/(5/4).
11/4
Evaluate ((-1102)/(-2204))/(((-6)/(-100))/3).
25
Calculate (18/675)/((-2)/(-6)).
2/25
120/(-32)*156/65
-9
What is the value of 1*9/(153/170)?
10
Calculate (1335/7209)/((-105)/(-54)).
2/21
What is (-1611)/1611*2/(-2)*-19?
-19
Calculate 38*(990/(-285))/(-33).
4
What is the value of ((-18)/8)/((-489)/3260)?
15
Evaluate (64124/26404)/((36/14)/(-3)).
-17/6
What is the value of (1/(-3))/(((-279)/(-297))/31)?
-11
Evaluate 3*-14*(-193)/579.
14
((-84)/224)/((-12)/(-8))
-1/4
Evaluate ((-23)/5)/((-223)/(-1115)).
-23
What is the value of (7/(-315)*6)/((-2)/(-6))?
-2/5
Evaluate ((-464)/(-1276))/((-104)/(-44)*1).
2/13
Calculate -5*15/5*(-805)/525.
23
10/4*38/(-95)*9/(-54)
1/6
6/(-16)*(12/39)/(318/689)
-1/4
Evaluate (9/6)/(12/256*8).
4
What is the value of (-18)/372*17/(1173/92)?
-2/31
Evaluate (18*-2)/(5139/(-1142)).
8
(4/(-3))/(13662/1863*(-2)/(-22))
-2
Calculate ((-2)/2)/(109/654).
-6
What is the value of 35/(-20)*(-110)/(-231)?
-5/6
What is 43/((-4472)/(-12))*12/(-9)?
-2/13
Evaluate ((-28)/(-63))/(72/(-108)).
-2/3
Evaluate (-350)/6125*14/2.
-2/5
What is the value of 20*((-4)/(-1))/(-48)?
-5/3
20/12*(-5)/((-750)/(-2520))
-28
What is ((-432)/(198/22))/((-18)/12)?
32
(-8)/48*6*(-10)/(-1)
-10
What is (((-30)/(-3))/(-5))/((-64)/(-24))?
-3/4
Calculate (5/(-3))/(88985/(-2886)).
2/37
Evaluate (((-81)/36)/9)/(7/(-24)).
6/7
Evaluate (513/95)/(27/(-9)).
-9/5
Calculate 18/12*((-9)/(-12))/((-12)/48).
-9/2
Calculate 819/2002*4/(-9).
-2/11
What is (-13)/((-182)/(-525))*(-12)/18?
25
What is the value of (((-48)/(-20))/(-6))/((-12)/30600*-30)?
-34
30*-1*780/(-104)*4/(-60)
-15
Evaluate 9*18/27*6/(-90).
-2/5
Calculate 4/6*(-9)/(-24)*(-480)/(-320).
3/8
Evaluate ((-250)/(-60))/(-1)*3/(-10).
5/4
Evaluate ((-16)/(-210))/(38500/(-13475)).
-2/75
Evaluate ((-2)/(-2))/4*(-16)/(-60).
1/15
Calculate 1/(-36)*(540/(-270))/(2/8).
2/9
What is the value of 100/(-80)*1/(-5)?
1/4
What is -1*(-42)/42*(-20)/2?
-10
What is the value of 2*-70*2/(-28)*2/2?
10
What is the value of (36/(-108))/(((-5)/39)/5)?
13
Calculate 24/(-200)*1*20/(-8)*-1.
-3/10
(-2)/(-7*(-7)/(-392))
16
Calculate ((-28)/(-63))/(((-104)/(-144))/13).
8
What is the value of (-140)/18060*6/(-2)*1?
1/43
Evaluate 1/(-2)*-23*(430/20)/43.
23/4
-24*(-350)/480*(-8)/5
-28
Evaluate 136/6*(-396)/(-528).
17
8/7*(-770)/88
-10
Calculate (-32)/2*((70/(-7))/(-20))/1.
-8
What is ((-12)/(-12)*6)/(10*(-9)/(-360))?
24
What is the value of 56/10*(-415)/166?
-14
What is (217/7*(-3)/3)/(77/77)?
-31
Calculate ((-2)/4)/(-10*(-22)/5720).
-13
Evaluate (-51)/(52/((-4160)/(-120))).
-34
What is the value of (-4)/((15/(-54)*-2)/(54/(-324)))?
6/5
What is the value of (2/(-8))/(4*176/(-256))?
1/11
Calculate ((-10)/(-190)*-19)/((-1)/30*2).
15
Evaluate (-1)/(-1)*16/384*11*8.
11/3
(1*(-33)/(-22))/(1*4/8)
3
Calculate (-25)/15*4*((-120)/(-5))/(-8).
20
What is the value of (111/((-1998)/(-36)))/(-1*2/20)?
-20
What is ((-48)/84)/(16/(-12)*(-2310)/(-196))?
2/55
Evaluate ((-1152)/32)/(-9)*6/104.
3/13
What is the value of 76/(-12)*177/59?
-19
Calculate 10*(-224)/1120*(-1)/(-10)*4.
-4/5
Evaluate ((-1)/4*240/8)/((-3)/(-4)).
-10
What is the value of (((-6)/20)/(117/(-52)))/((-18)/30)?
-2/9
((-168)/16)/21*2
-1
What is ((-4)/(-16))/((-801)/(-356))?
1/9
What is (((-1)/(-10))/(90/(-225)))/(14/16)?
-2/7
What is the value of -1*14*((-492)/(-2009))/(18/42)?
-8
Evaluate 723/482*((-4)/3)/2.
-1
What is the value of (20/(-7))/((-670)/1876)*(-6)/(-88)?
6/11
Evaluate (35/(98/14))/(10/(-4)).
-2
Calculate (210/105)/((2/14)/(12/42)).
4
What is the value of (8624/9240)/((-4)/(-30))?
7
What is ((-9)/16)/(33/(-22))?
3/8
What is the value of (-25)/((-800)/16)*6/(-9)?
-1/3
What is the value of ((-14)/(-364))/((-10)/(-65))*1?
1/4
What is (-1)/(-1*(-4)/(-12))*8/66?
4/11
What is 1/((-22)/44*-1)?
2
Calculate ((-945)/(-60))/(-21)*-16.
12
Evaluate 1*(0/16)/13.
0
What is (-6)/5*(-225)/(-90)?
-3
Evaluate ((-2)/8)/((108/972)/(4/(-9))).
1
Evaluate 2660/570*(-3)/(-4).
7/2
Calculate ((-110)/(-154))/(7/(-21)).
-15/7
(-74)/111*2/2
-2/3
What is -7*-13*20/9100?
1/5
What is 9/168*20*-6*15/225?
-3/7
Calculate (-63)/420*4*5*3.
-9
(-2)/(-8)*-1*12640/20540
-2/13
54/(-12)*21/(189/12)
-6
(((-87)/(-145))/(9/6))/((-2)/10)
-2
(8/(-22))/((-1190)/(-98175))
-30
(250/(-175))/((-20)/210)
15
Evaluate 6/(-12)*15/25*(-180)/(-6).
-9
(5/(-25))/((-12)/(-12)*19/2755)
-29
What is the value of (2*(-1)/4)/(4*(-6)/192)?
4
What is 160/(-48)*(-72)/(-45)*-3?
16
((-231)/396)/(105/40)
-2/9
Evaluate ( | {
"pile_set_name": "DM Mathematics"
} |
+ 48282
What is the h'th term of 411921, 411925, 411929?
4*h + 411917
What is the o'th term of 69318, 138596, 207872, 277146?
-o**2 + 69281*o + 38
What is the y'th term of -60855, -60857, -60859, -60861, -60863?
-2*y - 60853
What is the f'th term of 1786, 1813, 1842, 1873, 1906, 1941, 1978?
f**2 + 24*f + 1761
What is the d'th term of -488, -1925, -4320, -7673, -11984?
-479*d**2 - 9
What is the u'th term of 385, 470, 555, 640, 725?
85*u + 300
What is the k'th term of 19399, 38790, 58181?
19391*k + 8
What is the w'th term of 1302, 1296, 1284, 1266, 1242?
-3*w**2 + 3*w + 1302
What is the f'th term of -1778, -3587, -5394, -7199, -9002, -10803, -12602?
f**2 - 1812*f + 33
What is the x'th term of 103, 2579, 5055, 7531, 10007, 12483?
2476*x - 2373
What is the q'th term of -3542, -7099, -10666, -14243, -17830?
-5*q**2 - 3542*q + 5
What is the d'th term of 1702, 6766, 15206, 27022?
1688*d**2 + 14
What is the z'th term of -64883, -64870, -64857, -64844, -64831?
13*z - 64896
What is the x'th term of 165, 138, 95, 36, -39, -130?
-8*x**2 - 3*x + 176
What is the y'th term of -280, -748, -1216, -1684, -2152, -2620?
-468*y + 188
What is the j'th term of 24, 33, 66, 123, 204, 309, 438?
12*j**2 - 27*j + 39
What is the w'th term of -276, -185, -26, 201, 496, 859?
34*w**2 - 11*w - 299
What is the r'th term of 4011, 4193, 4377, 4563, 4751, 4941, 5133?
r**2 + 179*r + 3831
What is the o'th term of -12, -151, -378, -693, -1096?
-44*o**2 - 7*o + 39
What is the v'th term of 76837, 76830, 76813, 76780, 76725, 76642, 76525, 76368?
-v**3 + v**2 - 3*v + 76840
What is the b'th term of -68, -118, -158, -182, -184, -158, -98?
b**3 - b**2 - 54*b - 14
What is the h'th term of 1261, 1464, 1801, 2272?
67*h**2 + 2*h + 1192
What is the m'th term of 47, 318, 1065, 2528, 4947, 8562, 13613, 20340?
40*m**3 - 2*m**2 - 3*m + 12
What is the d'th term of 148, 155, 166, 187, 224, 283, 370?
d**3 - 4*d**2 + 12*d + 139
What is the s'th term of 157, 320, 751, 1582, 2945, 4972, 7795, 11546?
22*s**3 + 2*s**2 + 3*s + 130
What is the u'th term of 3775, 3216, 2285, 982, -693, -2740, -5159?
-186*u**2 - u + 3962
What is the f'th term of -1246, -1318, -1384, -1444, -1498, -1546?
3*f**2 - 81*f - 1168
What is the z'th term of 8783, 8805, 8831, 8861?
2*z**2 + 16*z + 8765
What is the l'th term of -86, -2115, -8030, -19775, -39294, -68531, -109430, -163935?
-324*l**3 + l**2 + 236*l + 1
What is the r'th term of 30318, 60492, 90664, 120834?
-r**2 + 30177*r + 142
What is the h'th term of 3143126, 6286255, 9429384, 12572513, 15715642, 18858771?
3143129*h - 3
What is the m'th term of 171, 291, 623, 1275, 2355?
18*m**3 - 2*m**2 + 155
What is the f'th term of 1118, 4495, 10126, 18011?
1127*f**2 - 4*f - 5
What is the w'th term of 145688, 145684, 145678, 145670?
-w**2 - w + 145690
What is the f'th term of 1006381, 2012762, 3019143, 4025524, 5031905, 6038286?
1006381*f
What is the s'th term of -729, -765, -805, -849, -897, -949, -1005?
-2*s**2 - 30*s - 697
What is the a'th term of 2436, 4869, 7300, 9729, 12156?
-a**2 + 2436*a + 1
What is the i'th term of 8714, 8721, 8728, 8735, 8742?
7*i + 8707
What is the n'th term of -16539, -33103, -49677, -66267, -82879, -99519, -116193, -132907?
-n**3 + n**2 - 16560*n + 21
What is the w'th term of 13634, 13721, 13822, 13943, 14090?
w**3 + w**2 + 77*w + 13555
What is the s'th term of -442, -1737, -3794, -6529, -9858, -13697, -17962?
14*s**3 - 465*s**2 + 2*s + 7
What is the i'th term of 272, 1232, 3844, 8936, 17336?
138*i**3 - 2*i**2 + 136
What is the r'th term of 7833, 7849, 7865, 7881?
16*r + 7817
What is the n'th term of 23, 12, 17, 50, 123, 248, 437, 702?
2*n**3 - 4*n**2 - 13*n + 38
What is the v'th term of -128, -227, -320, -407, -488?
3*v**2 - 108*v - 23
What is the t'th term of 6737, 6666, 6617, 6602, 6633?
2*t**3 - t**2 - 82*t + 6818
What is the q'th term of -180, -723, -1632, -2907, -4548?
-183*q**2 + 6*q - 3
What is the d'th term of 845, 883, 921, 959?
38*d + 807
What is the n'th term of 5482, 10974, 16470, 21970, 27474, 32982, 38494?
2*n**2 + 5486*n - 6
What is the u'th term of 738, 1287, 1836, 2385, 2934?
549*u + 189
What is the t'th term of 13478, 13428, 13388, 13364, 13362, 13388, 13448?
t**3 - t**2 - 54*t + 13532
What is the t'th term of -9094, -9037, -8980, -8923?
57*t - 9151
What is the h'th term of -17985, -35963, -53937, -71907, -89873, -107835, -125793?
2*h**2 - 17984*h - 3
What is the q'th term of 252770, 505535, 758300?
252765*q + 5
What is the h'th term of -1281, -1309, -1327, -1329, -1309?
h**3 - h**2 - 32*h - 1249
What is the h'th term of -3031, -2954, -2871, -2782?
3*h**2 + 68*h - 3102
What is the d'th term of 4465, 4617, 4769, 4921, 5073?
152*d + 4313
What is the d'th term of -86, -681, -2290, -5417, -10566, -18241?
-84*d**3 - 3*d**2 + 2*d - 1
What is the n'th term of 1311, 1264, 1233, 1224, 1243, 1296, 1389?
n**3 + 2*n**2 - 60*n + 1368
What is the l'th term of -239, -1480, -3547, -6440, -10159?
-413*l**2 - 2*l + 176
What is the z'th term of -164786, -164787, -164790, -164795?
-z**2 + 2*z - 164787
What is the u'th term of -580, -1160, -1740, -2320, -2900?
-580*u
What is the l'th term of -8414, -16823, -25232, -33641, -42050?
-8409*l - 5
What is the y'th term of -15058, -14772, -14486, -14200, -13914, -13628?
286*y - 15344
What is the k'th term of 173755, 347516, 521289, 695080, 868895, 1042740?
k**3 + 173754*k
What is the h'th term of -1374, -2630, -3872, -5094, -6290, -7454, -8580?
h**3 + h**2 - 1266*h - 110
What is the p'th term of 536139, 1072276, 1608413, 2144550, 2680687, 3216824?
536137*p + 2
What is the c'th term of -8567, -16991, -25275, -33425, -41447, -49347?
-c**3 + 76*c**2 - 8645*c + 3
What is the n'th term of 507, 999, 1485, 1977, 2487, 3027?
2*n**3 - 15*n**2 + 523*n - 3
What is the x'th term of 115858, 115868, 115878, 115888, 115898, 115908?
10*x + 115848
What is the a'th term of -2815, -3200, -3573, -3928, -4259, -4560?
a**3 - 392*a - 2424
What is the j'th term of -1982, -1933, -1884?
49*j - 2031
What is the p'th term of -1538, -1529, -1520, -1511, -1502, -1493?
9*p - 1547
What is the n'th term of -738, -1156, -1252, -1026, -478, 392?
161*n**2 - 901*n + 2
What is the z'th term of 21940, 43987, 66034, 88081?
22047*z - 107
What is the l'th term of 2369, 2379, 2389, 2399, 2409?
10*l + 2359
What is the p'th term of 2883, 10665, 23625, 41757, 65055, 93513?
-p**3 + 2595*p**2 + 4*p + 285
What is the h'th term of 3696, 3631, 3566?
-65*h + 3761
What is the b'th term of -3621501, -3621500, -3621499?
b - 3621502
What is the y'th term of 248987, 248993, 248999, 249005, 249011?
6*y + 248981
What is the q'th term of 12670, 25332, 37986, 50632?
-4*q**2 + 12674*q
What is the a'th term of 395, 670, 947, 1226, 1507?
a**2 + 272*a + 122
What is the g'th term of 3251, 3268, 3321, 3428, 3607, 3876, 4253?
3*g**3 - 4*g + 3252
What is the x'th term of -1104, -4394, -9868, -17520, -27344, -39334, -53484, -69788?
x**3 - 1098*x**2 - 3*x - 4
What is the g'th term of -210, -226, -242, -258?
-16*g - 194
What is the k'th term of 2871, 11495, 25873, 46011, 71915, 103591, 141045?
k**3 + 2871*k**2 + 4*k - 5
What is the i'th term of 4715, 9438, 14177, 18938, 23727, 28550, 33413?
i**3 + 2*i**2 + 4710*i + 2
What is the t'th term of 509, 401, 289, 173, 53?
-2*t**2 - 102*t + 613
What is the j'th term of -8833, -8828, -8819, -8806, -8789, -8768?
2*j**2 - j - 8834
What is the t'th term of -513, -680, -851, -1026, -1205, -1388?
-2*t**2 - 161*t - 350
What is the j'th term of -14466, -28917, -43366, -57813, -72258?
j**2 - 14454*j - 13
What is the d'th term of 432, 3219, 10788, 25533, 49848?
399*d**3 - 3*d**2 + 3*d + 33
What is the o'th term of 469, 31, -737, -1841, -3287, -5081, -7229, -9737?
-o**3 - 159*o**2 + 46*o + 583
What is the k'th term of -144438, -144440, -144442, -144444, -144446?
-2*k - 144436
What is the j'th term of 199, -361, -1873, -4811, -9649, -16861?
-79*j**3 - 2*j**2 - j + 281
What is the i'th term of -65850, -263379, -592596, -1053501, -1646094?
-65844*i**2 + 3*i - 9
What is the p'th term of -213, -135, -3, 183, 423, 717?
27*p**2 - 3*p - 237
What is the w'th term of -7, 20, 93, 212?
23*w**2 - 42*w + 12
What is the q'th term of 1696, 6835, 15370, 27277, 42532, 61111?
-4*q**3 + 1722*q**2 + q - 23
What is the h'th term of -271, -338, -437, -568, -731, -926, -11 | {
"pile_set_name": "DM Mathematics"
} |
ing order.
14, -4, -5, -291
Put 4, -1, 10, -11554 in ascending order.
-11554, -1, 4, 10
Sort 3/7, 56/321, 0.2 in increasing order.
56/321, 0.2, 3/7
Sort 1/6, 0.3, 1/3, 4/7, -2.81, 3/7 in ascending order.
-2.81, 1/6, 0.3, 1/3, 3/7, 4/7
Sort 7, -2, 4, 5, 4/59, -5 in increasing order.
-5, -2, 4/59, 4, 5, 7
Put 0.5, 0.2, 0.00636 in descending order.
0.5, 0.2, 0.00636
Sort -4, 3, -0.3, 0.3, 12, -0.8 in descending order.
12, 3, 0.3, -0.3, -0.8, -4
Put -1/5, -0.3, -526, -15, -2, 4.6 in increasing order.
-526, -15, -2, -0.3, -1/5, 4.6
Sort -0.13, -2/7, -48, 2 in descending order.
2, -0.13, -2/7, -48
Sort -539, 65/2, -1/9 in descending order.
65/2, -1/9, -539
Put 0.36, 1/5, 0.29, -2/13, -4 in descending order.
0.36, 0.29, 1/5, -2/13, -4
Sort -5, 2, 7340, -1, 8 in decreasing order.
7340, 8, 2, -1, -5
Sort -1, -214, -9, -5 in ascending order.
-214, -9, -5, -1
Put 1/24, 4/5, 31, -91 in decreasing order.
31, 4/5, 1/24, -91
Put 3, -7, 10, 16, -3, 1 in descending order.
16, 10, 3, 1, -3, -7
Sort -176/27, 1/4, -0.3, 1 in increasing order.
-176/27, -0.3, 1/4, 1
Sort -0.1, -0.0101, -2/763 in increasing order.
-0.1, -0.0101, -2/763
Sort -3/5, -5, 16, 0.176 in descending order.
16, 0.176, -3/5, -5
Sort 11, 1, -7, 3, -5 in ascending order.
-7, -5, 1, 3, 11
Sort 3, -13, -1, 223 in decreasing order.
223, 3, -1, -13
Sort -2/7, 8, 0.3, 3/5173, -4.
-4, -2/7, 3/5173, 0.3, 8
Sort 5, 1, 0.384, -3 in descending order.
5, 1, 0.384, -3
Put 2, -25, 571 in ascending order.
-25, 2, 571
Sort -1/30, 0.4, -4, -2, 0 in decreasing order.
0.4, 0, -1/30, -2, -4
Put 5958, -1, -4, 16 in ascending order.
-4, -1, 16, 5958
Sort -1, -3, -4, -6, 535 in descending order.
535, -1, -3, -4, -6
Sort 102, 8648, -4.
-4, 102, 8648
Sort -1, -0.5, 3684 in descending order.
3684, -0.5, -1
Sort 1, -6437, 4, 5, -14 in descending order.
5, 4, 1, -14, -6437
Put -2/37, 17, -1/4, 10, -3/5 in increasing order.
-3/5, -1/4, -2/37, 10, 17
Sort -2, 0.03, -5, 3, 0.02, -0.2.
-5, -2, -0.2, 0.02, 0.03, 3
Sort 2/27, 54, 1/15, -3 in descending order.
54, 2/27, 1/15, -3
Sort 49, -7, 20, -2, 2 in descending order.
49, 20, 2, -2, -7
Sort -2.0943, 5, -5.
-5, -2.0943, 5
Put 9, 8, 4, -28, 0 in decreasing order.
9, 8, 4, 0, -28
Put -561, 2/3, 0.4, 1.1 in ascending order.
-561, 0.4, 2/3, 1.1
Put 696, 1, 7, -2 in increasing order.
-2, 1, 7, 696
Put 4, 1, -30, -4 in descending order.
4, 1, -4, -30
Put -2, 2, -62, 0, -4 in decreasing order.
2, 0, -2, -4, -62
Sort 15, 4, 5, 3, 2, -149 in increasing order.
-149, 2, 3, 4, 5, 15
Sort 2/3, 0.1, 41, 1/2, 2, -1 in ascending order.
-1, 0.1, 1/2, 2/3, 2, 41
Put 57594, -95, 0 in increasing order.
-95, 0, 57594
Put 503, 0, 11, 1 in decreasing order.
503, 11, 1, 0
Put -164, 4/37, 1 in descending order.
1, 4/37, -164
Sort -0.4, -2/9, -31537 in descending order.
-2/9, -0.4, -31537
Sort -8574, 5, 30.
-8574, 5, 30
Sort -1, 35, -5, 3, -67.
-67, -5, -1, 3, 35
Put 6, 2180, -0.3, 1/9 in descending order.
2180, 6, 1/9, -0.3
Sort 4, -64, -51 in descending order.
4, -51, -64
Put -112, -61, 5, -3, 0 in decreasing order.
5, 0, -3, -61, -112
Sort 0, 5, 22719 in descending order.
22719, 5, 0
Sort 4, 21, -5, -4, -8, 53.
-8, -5, -4, 4, 21, 53
Put 5/3, 20, 5, -4, 4, -1221 in decreasing order.
20, 5, 4, 5/3, -4, -1221
Put 1/6, -730, 0, -0.2, 3/4 in descending order.
3/4, 1/6, 0, -0.2, -730
Put 12, -8, 16, -5, 9 in increasing order.
-8, -5, 9, 12, 16
Sort 1, 74, 19, -8.
-8, 1, 19, 74
Sort 239, 4/109, -3 in decreasing order.
239, 4/109, -3
Put -3, -2, -400 in decreasing order.
-2, -3, -400
Sort 883, -21, 3/2, 5.
-21, 3/2, 5, 883
Put 2.1865, 1, 1/6 in ascending order.
1/6, 1, 2.1865
Put -0.5, -5, 0.02, -4/219 in increasing order.
-5, -0.5, -4/219, 0.02
Sort -11959, -2, 0.03.
-11959, -2, 0.03
Sort -69, 5, 3907 in decreasing order.
3907, 5, -69
Sort 15/8, -1, -480.3, 0.5, -1/2 in descending order.
15/8, 0.5, -1/2, -1, -480.3
Sort 20, 2, -4175 in descending order.
20, 2, -4175
Put -2/13, -314.6, -5 in increasing order.
-314.6, -5, -2/13
Put 2, 2/69, 5/4, -0.04, -19 in increasing order.
-19, -0.04, 2/69, 5/4, 2
Sort -21, 285, -1, 4 in descending order.
285, 4, -1, -21
Put -1987, -471, -2 in ascending order.
-1987, -471, -2
Sort -5, -36301, 13 in ascending order.
-36301, -5, 13
Sort -3.3, -15/4, -8, 3 in decreasing order.
3, -3.3, -15/4, -8
Sort 0.4, 1, -1, 0, -0.3, 1830.
-1, -0.3, 0, 0.4, 1, 1830
Sort -4, 2000/33, 2, 2/15.
-4, 2/15, 2, 2000/33
Put 0, -23.6, -21 in decreasing order.
0, -21, -23.6
Put -4, 4, -11, 8 in decreasing order.
8, 4, -4, -11
Put -1, 5, -51/287, 4, -4, -0.3 in increasing order.
-4, -1, -0.3, -51/287, 4, 5
Sort -122, -2/9, -1/4, -4/5, -0.4 in decreasing order.
-2/9, -1/4, -0.4, -4/5, -122
Put 1, 2, -2, 2200 in decreasing order.
2200, 2, 1, -2
Sort 3, 0, 3961, 2 in decreasing order.
3961, 3, 2, 0
Put 9, 20, 0, 6, 7 in increasing order.
0, 6, 7, 9, 20
Sort 0, 344, -2, 80, 1.
-2, 0, 1, 80, 344
Put 4, -5, 39, 41, -25, 5 in ascending order.
-25, -5, 4, 5, 39, 41
Put 96, -0.5, -35.8 in ascending order.
-35.8, -0.5, 96
Put -107, 76, 5 in increasing order.
-107, 5, 76
Put 3618, 27, -5 in decreasing order.
3618, 27, -5
Sort -3, 0, -5, -146 in descending order.
0, -3, -5, -146
Put -15451/5, -2/9, 3 in increasing order.
-15451/5, -2/9, 3
Sort -3/2, 1/5, -6/587, 1, -0.2 in descending order.
1, 1/5, -6/587, -0.2, -3/2
Put 0.28, 14/33, -5, -1/3, 2 in ascending order.
-5, -1/3, 0.28, 14/33, 2
Sort -4, -6, 1, -9767 in increasing order.
-9767, -6, -4, 1
Put 4, 2, 37, 66, 6 in descending order.
66, 37, 6, 4, 2
Put -8, 290, 343 in decreasing order.
343, 290, -8
Put -36/5, -6/7, -9 in descending order.
-6/7, -36/5, -9
Sort -3, 1046, -12 in descending order.
1046, -3, -12
Sort 2, -2/7, -44581, 1/6, -5/4 in descending order.
2, 1/6, -2/7, -5/4, -44581
Put -25, 16, 5, 1, -4 in decreasing order.
16, 5, 1, -4, -25
Sort -4, 1087, 748, 0, 4.
-4, 0, 4, 748, 1087
Sort -20, -0.2, -1, 35, -275, 1/3.
-275, -20, -1, -0.2, 1/3, 35
Put 0, -50, 2, -1, 82 in descending order.
82, 2, 0, -1, -50
Sort 2, 1, -78, -4, 6 in increasing order.
-78, -4, 1, 2, 6
Sort -2/25, 2, 19.18, 7.
-2/25, 2, 7, 19.18
Sort 0.1, -0.2, -1, -0.5, -175 in decreasing order.
0.1, -0.2, -0.5, -1, -175
Sort 564931, -3, -2 in decreasing order.
564931, -2, -3
Sort 4, -570, -458.
-570, -458, 4
Sort -1/5, 3/7, 6/11 in decreasing order.
6/11, 3/7, -1/5
Sort 0.5, 348, 72 in ascending order.
0.5, 72, 348
Sort -28, 4, 0.02, -3, -3/7.
-28, -3, -3/7, 0.02, 4
Sort 4, -10, 6, -1, 25, 0 in descending order.
25, 6, 4, 0, -1, -10
Sort 5, -31, -68, -1 in decreasing order.
5, -1, -31, -68
Sort -7, 4, -33, 5, 3, 13 in decreasing order.
13, 5, 4, 3, -7, -33
Sort -2/331, -4, 11, -2 in decreasing order.
11, -2/331, -2, -4
Sort 72421, -2, -1 in decreasing order.
72421, -1, -2
Sort -4, -1, 6, 1, -1558 in increasing order.
-1558, -4, -1, 1, 6
Sort -7, -5, 1/13, 0.6, 0 in ascending order.
-7, -5, 0, 1/13, 0.6
Sort 84, 43, 1, -3, 5, -1 in decreasing order.
84, 43, 5, 1, -1, -3
Put 5, -5, -312, 4 in ascending order.
-312, -5, 4, 5
Sort -1/42, 35, -5, 2, -3.
-5, -3, -1/42, 2, 35
Sort -1, -4, 0.4, -3, 3 in descending order.
3, 0.4, -1, -3, -4
Sort 5, 0, 7797 in descending order.
7797, 5, 0
Sort 0.3, 1/759, -1/9, 59, -1/10, 3 in decreasing order.
59, 3, 0.3, 1/759, -1/10, -1/9
Put -1, -2235, 44 in decreasing order.
44, -1, -2235
Put -1, 0.019, 5, 3, -1.2, 7 in descending order.
7, 5, 3, 0.019, -1, -1.2
Put 58, -5, -1, -132, 2, 5 in descending order.
58, 5, 2, -1, -5, -132
Sort 174, -1, 0, 1 in descending order.
174, 1, 0, -1
Sort 2/5, -2, 0.0181, 2/13, 2 in ascending order.
-2, 0.0181, 2/13, 2/5, 2
Sort 11.23, -0.2, -20/9 in increasing order.
-20/9, -0.2, 11.23
Sort -1912, 0.4, -2, 2.
-1912, -2, 0.4, 2
Put 1, 27, -95 in increasing order.
-95, 1, 27
Sort -4, -544, 3, -3, -104 in descending order.
3, -3, -4, -104, -544
Sort -1.78, -3, -2, -1/4, 8 in decreasing order.
8, -1/4, -1.78, -2, -3
Sort 2, -1, 4, 4655, 11 in decreasing order.
4655, 11, 4, 2, -1
Sort 0.1, 0.03, 5, 3, -0.02, 1/360 in decreasing order.
5, 3, 0.1, 0.03, 1/360, -0.02
Sort 0, -1, 3, 5, -5, 106.
-5, -1, 0, 3, 5, 106
Put -155, 20, -6, -2 in descending order.
20, -2, -6, -155
Sort 23, -23, -6, 1 in descending order.
23, 1, -6, -23
Put 2/513, -5.1, 1 in increasing order.
-5.1, 2/513, 1
Put 1097, -2/15, 3, 1.8, 2/23 in decrea | {
"pile_set_name": "DM Mathematics"
} |
*d**2 + 0*d**3. Calculate f(r).
-4
Let a be 6/(-27) - ((-1218)/216 + 5). Let o(t) be the second derivative of 2/3*t**3 + 0*t**2 - 1/20*t**5 + 0 + 6*t - a*t**4. Determine o(-6).
12
Let b(a) = -a**3 - 7*a**2 + 2*a + 9. Let d be (-24)/10 - (-6)/15. Let i be -1 - (d - -1)*3. Suppose r + i = -5. What is b(r)?
-5
Let l(t) = -t**3 + 1. Let w(q) = -4*q**3 - 2*q**2 + q. Let k(g) = -3*l(g) + w(g). Suppose 42*h + 147 = -15*h + 8*h. Determine k(h).
3
Let x(q) = -q**3 - 6*q**2 + q - 2. Let v be x(-6). Let z(s) = -8*s**2 - 1 - 2*s + 4739027*s**3 - 10 - 4739028*s**3. Determine z(v).
5
Let x(o) = -o. Let k(q) = 7*q - 11. Let l be k(3). Determine x(l).
-10
Let s(q) = -3*q. Let m(a) = 12*a + 109. Let u be m(-9). Determine s(u).
-3
Let t = -819 - -820. Let n be 0*2*(-2)/(-8). Let v(x) = 5 - 4 - 2*x**2 - 2*x + n*x. What is v(t)?
-3
Let d(s) = -s**2 + s. Let k(y) = -y**2 - y - 4. Let x(b) = 2*d(b) - k(b). Let c = 6 + -9. Determine x(c).
-14
Let k = 294 + -296. Let u(t) = t**3 + 3*t**2 - t - 3. Determine u(k).
3
Let f(t) be the second derivative of t**4/12 - 5*t**3/6 + 7*t**2 - 260*t. Calculate f(10).
64
Let s(b) = 6*b**2 + 12*b - 11. Let r(j) = -11*j**2 - 26*j + 24. Let f(u) = 6*r(u) + 13*s(u). Calculate f(-1).
13
Let i(l) = 4*l - 7. Suppose f + 3*v = -0*f + 14, -32 = -4*f - 4*v. Suppose 2*n = f*n - 18. Give i(n).
17
Let y(g) = -g**3 - 4*g**2 + 5*g. Let v be y(-5). Let c be (-3 - 2)/((-15)/6). Let q(t) = -t**2 - 8*t**3 + c*t**3 + 6*t**3 + t**3 + 4. Give q(v).
4
Let f(c) = 5*c - 7. Let h(i) = i - 1. Let p(k) = -3*f(k) + 12*h(k). Let x be 4 - (-1 + 1 + 3). Let d be 12*x*((-5)/(-2) - 2). Calculate p(d).
-9
Let w be -8*4/(-20)*45/(-6). Let m(g) = g**2 + 11*g - 4. What is m(w)?
8
Let y(p) be the first derivative of 3*p + 2*p**2 - 22 + 1/3*p**3. Give y(-4).
3
Let j(l) be the third derivative of 0*l + 2*l**2 + 0 - 1/12*l**4 + 1/30*l**5 + 0*l**3 + 1/60*l**6. Let g be 8/(-12) - 16/12. Determine j(g).
-4
Let v(q) = -8*q**3 - 10*q**2 + 11*q + 4. Let j(w) = 7*w**3 + 10*w**2 - 8*w - 2. Let p(n) = -7*j(n) - 6*v(n). Calculate p(-9).
-1
Let p(u) = -4*u - 2*u**2 - u**3 - 4 + 14*u**2 - 7*u - 4 + 9. Give p(11).
1
Let m(v) = 5*v**2 + 7*v - 8. Let t(r) be the second derivative of 3*r**4/4 + 7*r**3/3 - 15*r**2/2 - r. Let f(y) = -11*m(y) + 6*t(y). Give f(6).
4
Suppose 14 = 3*b + 3*z + z, -5*z = 5*b - 20. Let u(a) = 3*a - 22*a**b - 18*a**2 + 1 + 39*a**2. Give u(2).
3
Let r(v) = -44*v**2 + v**3 + 3 - 7*v - 34*v**2 + 4 + 73*v**2. Calculate r(6).
1
Let g(x) = -x**2 + 2. Let p(r) = -10*r**2 - 7. Let c(y) = -4*g(y) - p(y). Give c(-1).
13
Let i(t) = 2 + t**2 + 314*t + 0*t**2 - 311*t. Suppose 9 = c - 4*c. What is i(c)?
2
Suppose -9*t + 15*t = 6. Let u(i) = -6*i**3 + 2*i**2 - 2*i + 1. What is u(t)?
-5
Suppose -3*z - 2 = -v + 2*v, -5*v - 4*z - 21 = 0. Let b(x) be the second derivative of x**5/20 + x**4/3 - 2*x**3/3 + 3*x**2 + 118*x. What is b(v)?
1
Let a(f) = 2*f + 4. Let i be a(-2). Suppose i = 6*s - 0 - 24. Let c(y) = -y**2 + 6*y - 5. Calculate c(s).
3
Let n(c) = -c**3 - 6*c - 14*c**2 - 16*c**2 + 37*c**2. Calculate n(6).
0
Let h(u) = -u**2 - u - 3. Let k = -7 + 12. Suppose -p - 4*d + 0 = -8, d - 2 = -k*p. Determine h(p).
-3
Let z(i) = -3 + 2*i**2 - 4*i + 2 + 3*i. Let r be 2/9 + 330/(-270). Determine z(r).
2
Let y(v) = -7*v - 2 + 2. Let u be (-24)/((-1248)/(-65)) + 2/8. Determine y(u).
7
Let r(t) = -3*t + 33. Let a(g) = 2*g - 16. Let s(n) = -5*a(n) - 2*r(n). Calculate s(11).
-30
Let l = -58 + 61. Let c(i) = -3*i**2 + i**l - 3*i**3 + 3*i**3 + 6*i - 3*i**2. Calculate c(5).
5
Let l(h) = 2*h**2 - 4*h - 1. Let r = 0 - -3. Suppose r*a + 2 + 85 = 0. Let z = -25 - a. What is l(z)?
15
Let z(s) = -5*s**2 + 7*s - 1. Suppose 0 = 4*b - 13 - 11. Let d(v) = -4*v**2 - v + 2*v**2 + 3*v**2. Let j(t) = b*d(t) + z(t). Calculate j(-2).
1
Let q = -6 + 2. Let z be ((-5)/10)/(1/q). Let h(o) = -o + 3 - z - o. Give h(5).
-9
Let q = 251 - 245. Let x(g) = -3*g**2 - 7*g - 7. Let r(y) = 8*y**2 + 20*y + 21. Let u(z) = 4*r(z) + 11*x(z). Determine u(q).
-11
Let t(h) = -h**2 - 5*h + 3. Let d(r) = -r**2 - 7*r + 3. Let x(p) = 2*d(p) - 3*t(p). Give x(-5).
17
Let r(z) = -2*z - 12. Let q be r(-12). Let o(j) = -1 - 4 + 0 - 9*j + q*j. Determine o(4).
7
Suppose -11*w - 24 = -2. Let x(t) = -3*t**2 - 2. Determine x(w).
-14
Let k(q) be the third derivative of q**6/720 - q**5/60 + q**4/6 + 21*q**2. Let c(u) be the second derivative of k(u). What is c(5)?
3
Let i(f) = -2*f + 1. Let u(d) = -15*d**2 + 10 + 26*d**2 + 7*d - 10*d**2. Let n be u(-5). Suppose -2*v + n*a - 2 = -4*a, 5*a = -5*v - 5. Determine i(v).
3
Let q(i) = 13*i + 1. Let r(f) = 2*f**2 - 24*f + 1. Let a be r(12). What is q(a)?
14
Let c(u) = -u**3 + 6*u**2 - 7*u. Suppose 0 = n - 4*q - q - 7, -2*n - q + 3 = 0. Suppose 0*v + 4*k = -5*v + 17, k + n = 0. What is c(v)?
-10
Let f(z) = -z**3 - z + 1. Let x(v) = 6*v + 4*v**3 - 8*v + 4*v - v**3 + 6*v**2. Let l(u) = -2*f(u) - x(u). What is l(-6)?
-2
Let a(v) = -14*v - 1. Let b(m) = 13*m. Let g(f) = 4*a(f) + 5*b(f). Determine g(-2).
-22
Suppose 0 = 2*v - 6*x + x + 21, v + 11 = 3*x. Let b(k) = -6*k + 10. Let g(i) = 4*i - 6. Let l(h) = v*g(h) - 5*b(h). Determine l(4).
-10
Let u(x) = 29*x + 254. Let l be u(-9). Let h(c) be the third derivative of -c**6/120 - c**5/10 + c**4/4 - 5*c**3/3 + 2*c**2. Calculate h(l).
-3
Let y(r) = -7*r**3 + 13*r**2 - 20. Let i(m) = 16*m**3 - 25*m**2 - 5*m + 39. Let f(z) = -4*i(z) - 9*y(z). What is f(-18)?
-12
Let l(q) be the first derivative of -q**4/4 + 3*q**3 - q**2/2 + 13*q + 521. Calculate l(9).
4
Let x(t) = -t**3 + 3*t**2 + t - 1. Let b = -928 - -931. Determine x(b).
2
Let c(g) = -2*g - 15. Let r be c(-10). Suppose 4*l - 20 = r*z, -l + 0 = 3*z + 12. Let v(t) = t**3 - t + l + 5*t**2 + 3 + 0*t. Calculate v(-5).
8
Let f(r) be the first derivative of -3*r - 3/2*r**2 - 8. Let l = -1 - 2. What is f(l)?
6
Let p be (-1 - (1 + 2))*(-4)/(-8). Let f = p - -8. Let u(n) = -n**3 + 7*n**2 - 6. Let a(y) = -y**3 + 7*y**2 - y - 6. Let w(d) = 5*a(d) - 4*u(d). What is w(f)?
0
Let z(v) = v**3 + 5*v**2 - 6. Let m(k) = k**3 + k**2 - k + 3. Let t be m(0). Suppose -2*g = 4 - 0, 0 = -t*p + 4*g + 29. Suppose -41 = p*n - 6. What is z(n)?
-6
Let x(r) = 2*r**2 - 4*r + 2. Let o = -537 + 539. Calculate x(o).
2
Let f(b) = -24*b**2 + 7*b - 4. Let d(v) = 49*v**2 - 15*v + 8. Let s(q) = -3*d(q) - 7*f(q). Let t(o) = -o**2 - o + 1. Let c(i) = s(i) - 5*t(i). What is c(1)?
26
Let v(q) = 7*q**2 - 5*q + 4. Let c be v(2). Let x = -19 + c. Let s(u) = u + 3. Calculate s(x).
6
Let l(z) = 3 + z + 1 - 6*z. Suppose -10 = 2*k - p - 16, 5*k - 5*p - 10 = 0. Determine l(k).
-16
Let d be ((-30)/12)/(1/(-2) + 1). Let r(j) = -j**2 - 5*j + 1. What is r(d)?
1
Let q(u) = 27*u + 1. Suppose 5*o - 3*n = -8, 2*n = -4*o + 9*o + 7. Calculate q(o).
-26
Let r(o) = 5*o + 2 - 2*o - 6*o + 6*o + 3. Give r(-2).
-1
Let i(s) be the second derivative of s**5/20 + 5*s**4/12 - s**3/2 - 3*s**2/2 + 109*s - 1. Calculate i(-6).
-21
Let v(u) = 2*u**2 + 3*u - u**2 - 806 - 811 + 1619. Let y = -2 + -1. Determine v(y).
2
Let v(w) be the second derivative of -8*w + 0 + w**2 - 1/6*w**3. Determine v(-5).
7
Let v(m) = -m**2 - 10*m + 6. Let r be v(-8). Let i(y) = -y - 2*y**2 - 14 - 8 + r. What is i(-2)?
-6
Suppose -6 = 4*t + 6. Let b(n) = n**2 + 8 - 5 - 3*n**2 - 2*n. Determine b(t).
-9
Let g(o) = o**3 + 5*o**2 + 6*o + 5. Let s be 9/3 - (-8)/(-2). Let k be (20 - 17)/(0 - s). Suppose -3*c - 15 = k*r, 5*r - c + 15 = 4*c. Determine g(r).
-3
Let r(z) = -48*z + 32. Let s(t) = 29*t - 16. Let y(x) = 3*r(x) + 5*s(x). Determine y(-10).
6
Let u(j) = 6*j + 47. Let s be u(-7). Let x(b) = -b**3 + 4*b**2 + 7*b - 6. Give x(s).
4
Suppose -3*p = 2*p - 30. Let q(b) = -6*b**2 + 2*b - 13. Let z(l) = l**2 - l + 2. Let n(g) = -q(g) - 7*z(g). What is n(p)?
-7
Let p(x) be the second derivative of -x**4/6 - x**2/2 - x. Let a(r) be the first derivative of p(r). Let u = 745 + -748. What is a(u)?
12
Let k be (0 + -1 - -2)*2. Let j(d) = 2*d**2 + 1 - 5*d**2 + k*d - d + d. Let a(q) = q - 7. Let f be a(6). Calculate j(f).
-4
Let g(s) = s - 2*s + 24 + 0*s - s. Let c be g(11). Let d(f) be the second derivative of f**5/20 + f**3/3 - f**2/2 + f. What is d(c)?
11
Let j(b) = 262*b - 6 - 267*b - 4. Determine j(-1).
-5
Let x(t) = 8*t**3 - t**2 + t + 1. Let k = 50 - 51. Calculate x(k).
-9
Let b(x) be the first derivative of -x**2/2 + 69*x | {
"pile_set_name": "DM Mathematics"
} |
**2 + 1052. Let v(i) be the first derivative of -2 + 0*i**2 + 0*i + 1/3*i**3. What is j(v(p))?
14*p**2
Let o(j) = -4*j**2 - 6*j - 3. Let u(t) = 84*t**2 + 136*t + 68. Let s(p) = 136*o(p) + 6*u(p). Let v(k) = -136*k. What is s(v(d))?
-739840*d**2
Let u(w) = 2*w. Let a(m) = m - 2*m - 4 + 1 + 5. Let i(c) = -c + 5. Let p(n) = n - 5. Let y(b) = 4*i(b) + 5*p(b). Let s(g) = -5*a(g) - 2*y(g). Determine u(s(j)).
6*j
Let f(g) = -g. Let s(p) = 35*p + 4. Suppose -2*i - 5*r + 2*r - 6 = 0, 12 = -3*r. Let z(n) = 2*n - 2 + i - 2 - n. Let m(k) = -s(k) - 4*z(k). Determine m(f(v)).
39*v
Let p(b) = -56279*b**2 - 337*b + 337. Let w(l) = -335*l**2 - 2*l + 2. Let g(v) = -2*p(v) + 337*w(v). Let u(j) = -3*j**2. What is g(u(r))?
-3033*r**4
Let k(o) be the third derivative of o**5/30 - 1865*o**2. Let f(m) be the third derivative of -7*m**4/4 + m**2. Calculate f(k(w)).
-84*w**2
Let h(v) = -41*v. Let m(p) = p**2 + 6*p - 6. Suppose l - 2*l - 13 = 0. Let t(k) = 2*k**2 + 13*k - 13. Let y(i) = l*m(i) + 6*t(i). What is y(h(b))?
-1681*b**2
Let c(v) be the second derivative of 0*v**2 - 2/3*v**3 + 37*v + 0. Let p(f) = -5*f. Determine p(c(i)).
20*i
Let z(r) = r. Let o(t) = -t. Let f(j) = 5*o(j) + 6*z(j). Let a(h) = -278755*h**2 + 356 + 278762*h**2 - 356. What is f(a(x))?
7*x**2
Let s be (4 - 1)/(3/2). Let o(k) = k**s + 4*k**2 + 3*k**2 + 9*k**2. Let b(z) be the second derivative of z**3/3 - 3*z + 2713. Determine b(o(r)).
34*r**2
Let m(u) = 581*u - 14. Let j(o) = -293*o + 8. Let k(d) = -7*j(d) - 4*m(d). Let z(n) = -10*n**2. Give k(z(c)).
2730*c**2
Let l(c) = c - 4. Let s(z) = -3*z + 10. Let f = 28 + -23. Let k(t) = f*l(t) + 2*s(t). Let u(a) = -2 + 2 - 6*a + a. Give k(u(g)).
5*g
Let f(b) be the second derivative of 37*b**3/6 + 657*b. Let l(c) be the first derivative of -c**2 - 1. What is f(l(w))?
-74*w
Let b(k) = -19*k + 8160. Let w(p) = -11*p - 27. Calculate w(b(f)).
209*f - 89787
Let r(l) = -3*l**2. Let c(y) = 12*y + 108. Let d(j) = -19*j - 218. Let f(w) = 5*c(w) + 3*d(w). What is r(f(k))?
-27*k**2 + 2052*k - 38988
Let h(d) = -8*d - 10. Let s be h(-2). Let x(a) = -41612 - s*a + 41612. Let m(r) be the second derivative of -r**3/2 - 5*r. Calculate x(m(n)).
18*n
Let t(w) = -49*w - 116*w**2 + 34*w + 30*w - 712 + 714. Let i(z) = -z. Calculate t(i(l)).
-116*l**2 - 15*l + 2
Let o(d) = -35*d + 6. Let a(r) be the first derivative of 3*r**2 - r - 112. Let n(l) = 6*a(l) + o(l). Let t(z) = 95*z - 2. What is n(t(s))?
95*s - 2
Let v(q) = 4*q + 3. Let p(s) = -6*s - 59421. Calculate v(p(z)).
-24*z - 237681
Let k(q) = 100 - 36 + 6*q - 18*q - 64. Let o(x) = 133*x - 2. Give k(o(l)).
-1596*l + 24
Let a(g) be the second derivative of -3*g**3/2 + 27*g + 1. Let l(t) be the first derivative of 3*t**2/2 + 1. What is a(l(y))?
-27*y
Let n(v) = -4*v**2 - 24 + 8*v**2 - 4*v + 3*v + 13*v. Let m be n(3). Let j(s) = 95*s**2 - m*s**2 - 58*s**2. Let g(z) = 4*z. Determine j(g(b)).
-176*b**2
Let g(o) be the second derivative of o**4/12 - 4*o. Let f(l) be the second derivative of 7*l**3/6 + l**2/2 + 4026*l. Determine f(g(u)).
7*u**2 + 1
Let r(a) = 4*a. Let c = -43 - -45. Suppose 5*z = -c*z + 21. Let p(y) = 73*y - 8*y**2 - 73*y - z*y**2. Determine r(p(n)).
-44*n**2
Let p(s) = 2*s**2. Let k(n) = 8921470*n**2. Give p(k(g)).
159185253921800*g**4
Let s(l) be the second derivative of 11/6*l**3 + 0 - 75*l + 0*l**2. Let w(t) = -9*t**2. Determine w(s(n)).
-1089*n**2
Suppose -1 = -2*z + 3. Let x(w) = -4*w**z - 1 + 1. Let f(p) be the third derivative of 3*p**4/4 - 9642*p**2. What is x(f(i))?
-1296*i**2
Let f(p) = 1836*p**2 - 890*p**2 + 2*p - 4 - 914*p**2. Let t(m) = -2*m**2. Determine f(t(q)).
128*q**4 - 4*q**2 - 4
Let o(a) = 11*a. Let y(s) = 800*s - 112. Give y(o(f)).
8800*f - 112
Let q(m) = 298*m. Let v(p) = -433*p - 204*p + 636*p. What is v(q(b))?
-298*b
Let r be (-8)/92 - -3*(-16)/(-552). Let u(a) be the second derivative of 24*a + r + 0*a**2 - 1/2*a**3. Let y(m) = -3*m. Give y(u(d)).
9*d
Let k(f) = -2*f. Suppose 26*p - 33 - 19 = 0. Let v(a) = -4 + 26 - 12 + 206*a**p - 10. Give k(v(w)).
-412*w**2
Let x(u) = -44*u**2. Let k(o) be the first derivative of o**4/3 + 108*o - 40. Let y(d) be the first derivative of k(d). Give x(y(w)).
-704*w**4
Let a(j) = j + 763. Let b(o) = 180*o**2 + 157*o**2 - 334*o**2. Determine a(b(k)).
3*k**2 + 763
Let v(r) = -55*r. Let t be (0 + 1)/(45/90). Let h(d) = t*d**2 - 274 + 274. Calculate v(h(p)).
-110*p**2
Let x(c) = -4*c - 5*c - 7*c + 47*c - 22*c. Suppose 0 - 4 = -2*b. Let o(q) = -2*q + 2*q + b*q. Calculate x(o(d)).
18*d
Suppose -r - 5*s + 108 = 0, -6*s - 512 = -4*r - 10*s. Let o(x) = 133 - r - 39*x**2. Let v(a) = -2*a**2. What is v(o(y))?
-3042*y**4
Let r(w) be the second derivative of 7*w**3/3 + 801*w. Let o(z) = 4*z + 10*z - 16*z. What is o(r(p))?
-28*p
Let j(p) = 38*p**2 + 28*p - 56. Let q(k) = -8*k**2 - 6*k + 12. Let i(w) = -9*j(w) - 42*q(w). Let c(m) = -931*m**2. What is c(i(r))?
-33516*r**4
Let t(j) = -163*j + 3. Let b(g) = -35*g**2 - 2*g + 2. Calculate t(b(l)).
5705*l**2 + 326*l - 323
Let f(n) be the second derivative of 5*n**3/6 - 5*n**2/2 + 48*n. Let m(h) be the third derivative of h**4/12 + 518*h**2 + h. What is f(m(i))?
10*i - 5
Let i(k) = 10*k**2 + 20*k. Let n(h) = -h**2 - h. Let q(u) = -i(u) - 20*n(u). Let p(l) be the third derivative of -25*l**4/24 - 1735*l**2. Give q(p(c)).
6250*c**2
Let b(f) = 74*f**2. Let y(v) be the third derivative of v**4/24 - 684*v**2. Give y(b(z)).
74*z**2
Let f(d) be the first derivative of 8*d**2 - 9239. Let x(b) = -40*b**2 - 25*b - 25. Let g(z) = -10*z**2 - 6*z - 6. Let v(a) = 25*g(a) - 6*x(a). What is v(f(j))?
-2560*j**2
Let f(q) = 38016*q + 38019*q - 76042*q. Let p(k) = -3*k - 6. Give p(f(g)).
21*g - 6
Let m(z) = -83016365*z. Let n(d) = -3*d**2. Determine m(n(o)).
249049095*o**2
Let i(b) = 2*b**2 + 88*b - 554. Let n(f) = -17*f. What is i(n(m))?
578*m**2 - 1496*m - 554
Let o(z) = 160*z + 266*z + 155*z - 582*z. Let n(t) = -410*t**2. Give o(n(d)).
410*d**2
Let o(m) = -33172*m. Let l(j) = -6963*j**2. Calculate l(o(w)).
-7661956969392*w**2
Let z(v) = 25*v**2 + 5. Let g(t) = -t - 18. Let j(u) = 40*u**2 - 6*u - 108. Let x(y) = 6*g(y) - j(y). Determine z(x(f)).
40000*f**4 + 5
Let g(i) = -98*i**2 + 2*i - 21. Let p(r) = 29*r**2. What is g(p(a))?
-82418*a**4 + 58*a**2 - 21
Let m(h) = -31*h. Let y(d) = -17 + 20*d + d + 6 + 11. Give y(m(k)).
-651*k
Let j(y) = y**2 - y. Let w(i) be the first derivative of i**6/60 + 8*i**3/3 + 84. Let h(x) be the third derivative of w(x). What is h(j(c))?
6*c**4 - 12*c**3 + 6*c**2
Let l(q) = -133*q. Let g(k) be the second derivative of 3*k**3 + 46*k + 1. Give l(g(r)).
-2394*r
Let j be (50/(-750))/(8/(-20)). Let v(d) be the second derivative of 0*d**3 + 0 + 0*d**2 - j*d**4 + 7*d. Let n(t) = -4*t**2. Give v(n(h)).
-32*h**4
Let g(a) = 23*a**2 - 5 + 5 - 26*a**2. Let q(t) be the second derivative of t**4/4 - 1471*t. Determine g(q(u)).
-27*u**4
Let g(x) = 81*x. Let v(z) be the second derivative of -3*z + 0*z**2 + 0*z**3 + 1/6*z**4 - 26. Calculate v(g(i)).
13122*i**2
Let w(b) = -b**2 - 766*b - 772*b - 752*b + 2290*b. Let n(t) = 266*t. What is n(w(l))?
-266*l**2
Let m(i) = i + 72. Let c(n) = -8*n**2 - 1 + 0 + 7*n**2 + 4 + 2*n + 4*n. Let p(d) = -6*d**2 + 32*d + 16. Let t(f) = 16*c(f) - 3*p(f). Give t(m(y)).
2*y**2 + 288*y + 10368
Let j(a) = -14*a. Let d(u) = -1285351*u. What is d(j(k))?
17994914*k
Let j(a) be the first derivative of 17*a**3/3 + 3*a - 132. Let w(q) = -132*q. Determine w(j(v)).
-2244*v**2 - 396
Let g(p) = -24*p - 3. Let u(y) be the second derivative of 0 - 1/3*y**3 + 0*y**2 - 57*y. What is u(g(a))?
48*a + 6
Let j(g) = 952*g + 168. Let q(x) = -44745*x - 7980. Let u(b) = -95*j(b) - 2*q(b). Let k(c) = -2*c. Calculate k(u(w)).
1900*w
Let w(j) = 3*j. Let n(r) be the first derivative of -3*r**2/2 - 30*r - 1698. Give w(n(u)).
-9*u - 90
Let o(i) be the second derivative of i**6/360 - 3*i**5/40 + 49*i**3/2 + 28*i - 2. Let k(p) be the second derivative of o(p). Let r(l) = -l**2. What is k(r(q))?
q**4 + 9*q**2
Let h(t) = t. Suppose a + f = -3*f + 144, 2*f = 5*a - 654. Let p = 275 - a. Let l(r) = -12*r + p - 143. Calculate l(h(v)).
-12*v
Let j(m) be the first derivative of 2*m**3/3 - 1051. Let p(d) = 571*d**2. What is p(j(c))?
2284*c**4
Let i(y) = y**2. Let j(z) = 1518*z - 2 - 1 - 293*z + 1 - 713*z. Determine j(i(o)).
512*o**2 - 2
Let q( | {
"pile_set_name": "DM Mathematics"
} |
Let l = -13 + k. Let u = -0.13 + -4.87. Sort -0.1, u, l in decreasing order.
-0.1, l, u
Let b = 0 - 0. Suppose b = 5*h - 6 + 1. Let l be -1 - (2*(2 - 3) - -2). Put 2, l, h in decreasing order.
2, h, l
Let c(v) be the third derivative of v**6/120 - v**5/20 - v**4/6 - v**3/3 + 4*v**2. Let r be c(4). Let h be ((-1)/r)/(9/6). Put h, 4, -1 in descending order.
4, h, -1
Suppose -3*h + 5*h = 8. Suppose 3*j = h*j. Suppose 7*b - 2*b = 20. Put j, b, -3 in increasing order.
-3, j, b
Let z(v) = -v + 10. Let j be z(6). Put 5, -16, j, -2 in increasing order.
-16, -2, j, 5
Suppose 3*b - 2*s - 9 = 0, -3 = -4*b + 3*s + 9. Put b, -20, -2 in descending order.
b, -2, -20
Let z be (12/36)/((-1)/(-3)). Suppose 3*y + 0*o - 11 = 4*o, 2*o = -4*y - 22. Sort z, 3, y in ascending order.
y, z, 3
Let r = 69/28 + -12/7. Let a = 0.152 + 8.148. Let k = a - 8. Sort r, k, -3/5 in descending order.
r, k, -3/5
Let l(w) = -8*w**2. Let u be l(-1). Let i(o) = o**2 + 9*o + 10. Let z be i(u). Let c = z + -1. Sort c, 0, 2 in ascending order.
0, c, 2
Suppose -3*s = 5*f - 5, -5*s + 2*f + 22 = -7. Put 0.5, s, -0.7 in decreasing order.
s, 0.5, -0.7
Suppose -11*p = -8*p + 6. Sort p, -5, 5, 2 in descending order.
5, 2, p, -5
Let x = 0.03 + -8.53. Let c = -5 - x. Let u = c - 4. Sort u, 5, -4/5 in decreasing order.
5, u, -4/5
Let f be (24/(-6))/(-2 + 1). Sort f, 2, -5, 1 in ascending order.
-5, 1, 2, f
Suppose 2*v + 4 + 11 = 5*u, -4*v - 3*u - 17 = 0. Suppose -4*b = -b. Let r = 3 - b. Put r, v, -3 in descending order.
r, -3, v
Let i = -180 - -898/5. Sort 2, -2/3, -0.1, i in increasing order.
-2/3, i, -0.1, 2
Suppose -2*o = -3*o. Let d be 99/(-21) + (-2)/7. Let t = -3 - d. Put t, o, 5 in decreasing order.
5, t, o
Let n = 3.5 - 3.1. Let a(z) = z - 3. Let d be a(-7). Sort n, 0, d in descending order.
n, 0, d
Let c = -6 + 11. Let j = -3 + 9. Let m be j/(-10) - (-44)/(-10). Sort c, -2, m in descending order.
c, -2, m
Suppose -15 = 5*n, -8 = -k + 2*n + n. Sort -2, k, -3, -5 in increasing order.
-5, -3, -2, k
Let o(g) = g**3 - 3*g**2 - 4*g + 6. Let q be o(4). Let j be ((-2)/6)/(1/q). Let v be ((-6)/(-30))/(j/(-5)). Put -0.4, v, 0.2 in increasing order.
-0.4, 0.2, v
Let i = -16 + 20. Sort -4, -7, i in decreasing order.
i, -4, -7
Suppose -4*q = -5 + 9. Let n = -1 + -3. Put q, n, -2 in descending order.
q, -2, n
Let z be 2/6 - (-22)/6. Suppose 5*n + 8 = -3*b + z*b, -n = -2*b + 7. Put -4, 5, b in decreasing order.
5, b, -4
Let b = 16 - 25. Let y(f) = f + 11. Let i be y(b). Put i, 5, -2 in decreasing order.
5, i, -2
Let w = -1.7 - -2.6. Let v = 0.1 + -0.2. Let g = w - v. Put -5, g, 0.1 in ascending order.
-5, 0.1, g
Let r = -8 - -10. Put r, 4, 1 in descending order.
4, r, 1
Let y(v) = v**2 - 12*v - 10. Let s be y(13). Suppose -2*r - 11 = 2*r + 5*g, -1 = -g. Sort 4, s, r in increasing order.
r, s, 4
Let p be (-2)/(-1 - 3/(-2)). Let l = 5 + 25. Suppose -2*a + 5*u = -35 - 0, -a + l = -5*u. Put a, -2, p in ascending order.
p, -2, a
Let x = 5 + -7. Let y = -74 + 79. Sort 0.5, x, y in decreasing order.
y, 0.5, x
Let b be 2/(-3)*6/(-4). Let y(c) = c**2 + 3*c + 3. Let o be y(-3). Sort b, -2, o in ascending order.
-2, b, o
Let d = 17 - 17. Put -2/3, d, -1/8 in ascending order.
-2/3, -1/8, d
Let t(p) = p**2 + 25*p - 111. Let l be t(-29). Let z = -1 + 2. Put z, l, 2 in decreasing order.
l, 2, z
Let i be (-9 - 15)*6/8. Let t = -13 - i. Suppose -5*n = -r + 2, -r - 1 = 2*n + 4. Put t, n, -3 in ascending order.
-3, n, t
Let h(w) = w**3 + 4*w**2 + w + 2. Let i be h(-3). Suppose 0 = 5*q - 3*p - 88, -4*q - 5*p + 100 = -0*q. Suppose 4*s = i*s - q. Sort 4, -2, s in increasing order.
-2, 4, s
Let r(b) = -b**2 + 3*b + 2. Let z be r(4). Put z, 1, -1 in ascending order.
z, -1, 1
Let o = 7 - 11. Let b = 17/4 + o. Sort b, -5, 1 in decreasing order.
1, b, -5
Suppose 5*y = 4*l + 2, -y - 7 = y + l. Sort 3, -10, y in decreasing order.
3, y, -10
Let t be (-12)/(-18) + 7/(-9). Sort 2/17, 2, t in increasing order.
t, 2/17, 2
Let x = 1.35 + -1.4. Sort -0.1, -1/2, x in descending order.
x, -0.1, -1/2
Suppose t + 6*i = 3*i + 36, -127 = -4*t + 5*i. Suppose 5*u = 4*g - t, 0 = -5*g - u + 2*u + 15. Sort g, 4, 0.
0, g, 4
Let b = 2 - 2.2. Let c = 1.2 + -1.5. Put c, b, -4 in decreasing order.
b, c, -4
Let z(d) = d**2 + 11*d + 9. Let r be z(-10). Let o = -4 + r. Suppose 5*k + 1 = n, 0*k - 5*k + 7 = -3*n. Sort 1, o, n in descending order.
1, n, o
Let f = 36 - 37. Put f, 0.6, -2 in decreasing order.
0.6, f, -2
Let w be (-2)/8 - (-54)/120. Put w, -0.4, 1/18 in ascending order.
-0.4, 1/18, w
Let j = -61 - -61.5. Put 23, 1, j in increasing order.
j, 1, 23
Suppose 7*m + 6 = -64. Sort 4, -4, m, 2 in ascending order.
m, -4, 2, 4
Let o be 1 + 1 - (-365)/(-10). Let i = o - -36. Put 2, i, -2 in descending order.
2, i, -2
Suppose -2*k + 0 = 5*p - 2, 0 = -4*p + 2*k + 16. Let v be (-22)/33 + 13/(-3). Let a = v + p. Put -5, a, -1 in increasing order.
-5, a, -1
Let h(y) = -y**2 + 6. Let f be h(-3). Let x(g) = 3*g - 1. Let w(r) = 3*r - 2. Let a(v) = 2*w(v) - 3*x(v). Let i be a(-1). Sort f, 1, i.
f, 1, i
Let h = 5.619 - -0.081. Let i = 0.7 - h. Let k = -60 + 62. Put i, k, -4 in decreasing order.
k, -4, i
Let c = 255 - 254. Suppose -13 = 3*l - 3*d + 5*d, -5*l - d = 24. Put -2, c, l in increasing order.
l, -2, c
Let h = 19.5 + -20. Let p = 0.4 + 0.3. Let r = p + h. Sort r, 3/5, 5.
r, 3/5, 5
Let g be (-70)/147 + 1/3. Sort 2/9, 1, g in decreasing order.
1, 2/9, g
Let r(h) = h + 5. Let k be r(0). Sort 2, k, -5, 3 in descending order.
k, 3, 2, -5
Let d be (3 - 6)*(-20)/15. Sort d, 2, -1 in ascending order.
-1, 2, d
Let c = -1.1 + 0.7. Sort 4, c, 0.
c, 0, 4
Let o be (0 - -1)*-1*7. Let y = o - -1. Let i be (3/18)/(2/y). Put -1, -4, i in ascending order.
-4, -1, i
Let v(u) = u**3 + 5*u**2 + 6*u + 8. Let q be v(-4). Put -1, -5, 3, q in descending order.
3, q, -1, -5
Let l be (2/8*-1)/((-1)/10). Sort -0.5, -4, -0.4, l in ascending order.
-4, -0.5, -0.4, l
Let v be -1 - (10/(-6) - 10/(-30)). Put -2/11, -1, v, 0 in decreasing order.
v, 0, -2/11, -1
Suppose -3*q + i = -34, q - 5*i + 0*i - 2 = 0. Put 3, q, 2 in decreasing order.
q, 3, 2
Let t be 10/8*4/(-40). Put -2/9, -2, t in descending order.
t, -2/9, -2
Let d be ((-48)/(-42))/4 - (-36)/(-77). Suppose -4*u + 3 = -1, -6 = v - u. Put v, 3, d in decreasing order.
3, d, v
Let q = 4.9 + 5.1. Let h be (2/(-35))/(3/(-15)). Put -4, q, h in decreasing order.
q, h, -4
Let g = -6 - -9. Let l be -10*3/(-18)*g. Sort l, 2/9, 3 in increasing order.
2/9, 3, l
Let z be 16/(-30)*(-81)/(-180). Let y = z - 32/75. Put y, -5, 3 in increasing order.
-5, y, 3
Let i = 7.8 + -7.5. Put 0.2, i, 1 in increasing order.
0.2, i, 1
Let y = 7 + -12. Let z = 9 + -14. Let x = -6 - z. Sort -4, x, y.
y, -4, x
Let k(z) = -z**2 + 7*z + 5. Let s(r) = -r**3 + 0*r**3 - 5*r + 7 + 2*r**2 + 4*r**2 + 0*r. Let p be s(5). Let t be k(p). Sort 0, t, -2 in decreasing order.
t, 0, -2
Let w = -2.7 + 21.7. Let y = w + -19.5. Let r be 39/(-21) + (0 - -2). Sort y, -0.2, r in decreasing order.
r, -0.2, y
Suppose 6 - 3 = -3*r. Let c = -3 + 8. Suppose -3*o = 2 - c. Sort o, -4, r in decreasing order.
o, r, -4
Suppose -2*z + 14 = 2*i + 3*z, 0 = i + 5*z - 12. Sort -5, 3, i in descending order.
3, i, -5
Let w(y) = -y. Let d be 4/(-6) - 14/(-3). Let q be w(d). Let b = -151 + 151. Sort q, -2, b in descending order.
b, -2, q
Suppose 0 = -4*q + 3*q + 15. Suppose 5*y - 7 = 3. Let j be (-12)/q + y/(-10). Put -5/4, j, -3/7 in decreasing order.
-3/7, j, -5/4
Let y = 1.3 - 1. Let a = -27.6 - -28. Put -1/11, y, a in increasing order.
-1/11, y, a
Let d(b) = b**3 + 2*b**2 - 2. Let a be d(1). Put -3, -5, -4, a in decreasing order.
a, -3, -4, -5
Let i(q) = -2*q**3 + 3*q**2 - 2*q + 15. Let l(v) = v**3 - 2*v**2 + v - 7. Let b(k) = 3*i(k) + 7*l(k). Let n be b(5). Put 6, n, -5 in decreasing order.
6, n, -5
Let n be (-4)/(-6)*-3*1. Let i(l) = l**3 + 12*l**2 + l + 14. Let m be i(-12). Sort n, m, -4.
-4, n, m
Let b be (-9)/(-2) - 2 - 3. Sort -2/3, b, 0.03 in descending order.
0.03, b, -2/3
Let d be (-30)/35 + 1 + (-12)/133. Put -3/2, d, 0.3 in decreasing order.
0.3, d, -3/2
Let s = -17/30 + -7/30. Let m = -5.062 + -0.038. Let z = -0.1 - m. Put 4, s, z in decreasing order.
z, 4, s
Let h = 0.1 + -1.1. Let s = 4 - h. Sort s, 0, -1/3 in decreasing order.
s, 0, -1/3
Let c = 2.5 - 3. Let u = 259.2 + -259. Put u, | {
"pile_set_name": "DM Mathematics"
} |
62/1. Let z = 53 - w. What are the prime factors of z?
5, 23
Let w = 17466 - 12228. Suppose w = 5*y + x - 0*x, y = 2*x + 1052. What are the prime factors of y?
2, 131
Suppose -6 = -3*u, -18*u + 15*u = 4*y - 158. Let p(z) = -z**3 + 39*z**2 - 20*z + 49. What are the prime factors of p(y)?
733
Let y = -5 - -9. Let o(h) = 11 + 11*h + 0*h - 5*h - y*h. What are the prime factors of o(12)?
5, 7
Let v be (-2046)/7 - 8/(-28). Let n = v - -427. Let f = n - 38. List the prime factors of f.
97
Let h be -1*5/(30/(-1284)). Suppose 775 = 4*y - 5*g, -h = -2*y + g + 181. List the prime factors of y.
2, 5
Let u be 9/2*(-416)/(-468). Suppose -3 = u*o + 9, -3*o = 2*n - 51. What are the prime factors of n?
2, 3, 5
Let t(p) = 1400*p**2 - 8*p - 32. Let w be t(-4). Suppose w = m + 55*m. List the prime factors of m.
2, 5
Let z(f) = -f**2 + 16*f + 9. Let b be z(13). Suppose -b + 10 = -2*x. What are the prime factors of x + 1 + (5 - 4)?
3, 7
Let o(h) = h**2 + 3*h. Let n be o(-8). Let r(w) = -w**3 - 4*w**2 - 2*w + 10. Let l be r(-5). Suppose l*q = n*q + 200. List the prime factors of q.
2, 5
Let r = 460 + -891. Let b = r - -802. List the prime factors of b.
7, 53
Let c(w) be the third derivative of 53*w**4/24 + 67*w**3/3 + 49*w**2. List the prime factors of c(11).
3, 239
Let m = 9663 - 879. What are the prime factors of m?
2, 3, 61
Suppose 2*o - 5*q - 16860 = 0, 3*q + 2349 = o - 6083. Suppose o = 15*z - 5*z. List the prime factors of z.
2, 421
Suppose -5*o + 10*w + 105 = 6*w, 0 = -o + 3*w + 32. Suppose o*f + 6*f = 7843. List the prime factors of f.
11, 31
Let r(n) = -1154*n + 2108. What are the prime factors of r(-13)?
2, 5, 29, 59
Suppose 4*r = -5*i + 35250, r = -3*r. List the prime factors of i.
2, 3, 5, 47
Let c(f) = -2*f**2 + 14*f - 9. Let h be c(6). List the prime factors of 5*56 + (1 - h).
2, 139
Let y = 16395 - 8471. What are the prime factors of y?
2, 7, 283
Let q = 54 + -51. Let y(m) = -q*m**3 + 7*m**3 - 2*m - 5*m**3 + 37 + m**2 - 16. What are the prime factors of y(0)?
3, 7
Let y be (-1956)/14 - 6/21. Let h be ((-192)/432)/(4/(-162)). What are the prime factors of (h/10 - 3)/(1/y)?
2, 3, 7
Let o be (-1)/2 + 7956/72. Suppose o*x = 95*x + 13950. List the prime factors of x.
2, 3, 5, 31
Suppose 0 = -58*q + 59*q + 112. Suppose 2*l - 26 = 4*d, 67 = 3*l - d + 2*d. What are the prime factors of q/l*6/(-4)?
2
Suppose -4905 + 33855 = 25*j. List the prime factors of j.
2, 3, 193
Suppose 22*a = 32*a + 41*a - 629697. What are the prime factors of a?
12347
Let n(k) = k**2 + 19*k + 17. Let a be n(-18). Let i(s) = -9*s + 21. List the prime factors of i(a).
2, 3, 5
Let s be 18/12 + -1 + 13/2. Suppose 4*f - 46 = 5*o, -2*f + 3*o + 15 = -s. List the prime factors of f.
2, 7
What are the prime factors of (-6)/((-204876)/(-68306) + -3)?
2, 7, 17, 41
Let q(m) = -1. Let k(d) = -d**2 + 22*d - 14. Suppose z + 0 = 4*s + 6, 2*s = -z. Let x(y) = s*k(y) + 3*q(y). List the prime factors of x(24).
59
Suppose -65*m = 14*m - 750658. List the prime factors of m.
2, 4751
Suppose -38*z + 208 = -46*z. What are the prime factors of (1/(-2))/(z/21060)?
3, 5
Let j(s) = s**2 + 143*s + 1512. List the prime factors of j(112).
2, 3, 7, 179
Suppose -3*g + 31051 = -12182. What are the prime factors of g?
14411
Let n(v) = -7*v**2 + 5*v + 147. Let o(x) = -10*x**2 + 4*x + 147. Let s(p) = 5*n(p) - 4*o(p). What are the prime factors of s(-14)?
7, 11, 13
Suppose 5*f - 610333 = -7*v, 0 = 38*v - 43*v - f + 435965. What are the prime factors of v?
2, 43597
Let d be 1*((2 - 3) + -2). Let o be 3 - 3 - 9/d. What are the prime factors of 0 + o - (6 + -13 - 76)?
2, 43
Suppose 0 = 8*p - 0*p - 320. Let c = 28 - 23. Suppose 4*y + p = c*y. List the prime factors of y.
2, 5
Suppose -977323 + 300162 = -130*w + 730739. List the prime factors of w.
2, 3, 5, 19
Suppose 0 = 4*z - 2*i - 977 - 247, -918 = -3*z + 4*i. Let a = 651 - z. List the prime factors of a.
3, 5, 23
Let g(p) = 4 + 146*p**2 + 71*p + 69*p - 136*p. Let x be g(-2). Suppose x = -6*i + 1978. List the prime factors of i.
233
What are the prime factors of ((-5038)/(-6))/(1/3) + 1?
2, 3, 5, 7
Let m(f) = f**2. Let h be m(2). Suppose 2*c + 1011 = h*l - 1295, -1165 = -2*l + 5*c. Let n = -360 + l. What are the prime factors of n?
5, 43
Suppose -4*u = -447 - 33. What are the prime factors of u/(-50)*(-390)/4?
2, 3, 13
Let p(y) = 23*y**2 + 1401*y - 28. List the prime factors of p(-64).
2, 1129
Let y = -6916 + 9463. List the prime factors of y.
3, 283
Let z = 9558 + -5648. List the prime factors of z.
2, 5, 17, 23
Suppose -s - 31 + 29 = 0. Let h be 9/4*(2*s)/1. Let x(m) = -3*m + 25. What are the prime factors of x(h)?
2, 13
Let w be (9 - -1)*14/5. Let j be 2616/w - (2 + 72/(-28)). Suppose 2*n - 184 = -2*k, -2*k + j = -k - n. List the prime factors of k.
3, 31
List the prime factors of 3 + (-100)/34 + (-966100)/(-170).
5683
Let b be 13/11 - 1 - (-43220)/55. List the prime factors of b + (6 - 2 - 4).
2, 3, 131
Let s be 4/34 + ((-400)/(-68) - -3). Suppose 0 = s*m + 621 - 3060. What are the prime factors of m?
271
Suppose -10*r + 55864 + 78656 = 0. What are the prime factors of r?
2, 3, 19, 59
Let g = 1102 + -1984. Let s = g - -1491. List the prime factors of s.
3, 7, 29
Suppose 3*t - 152010 = -4*o, 50708 = t + 27*o - 32*o. List the prime factors of t.
2, 25339
Suppose -z - 18 = -4*z. Suppose z*k - 364 = -142. Suppose 3*w + 3*d - 57 = 0, -3*d + k = -0*w + 2*w. What are the prime factors of w?
2, 5
What are the prime factors of (1335 - 260) + (-1)/(1/13)?
2, 3, 59
Let u be (912 + -6)*3/(-9). Let f = u + 613. What are the prime factors of f?
311
Let n = 2775 - 440. Let k = -1102 + n. What are the prime factors of k?
3, 137
Let z be 0 - (-13 - -17 - 4). Suppose -4*w = 3*g - 2536, g - 4*g = w - 2551. Suppose 9*v - 5*v - g = z. List the prime factors of v.
3, 71
Let d be -1 + -3 - 21/(-3). Suppose 5*i - 6 = o + 3, -7 = d*o + 5*i. List the prime factors of 7*5 + 0 + o.
31
Suppose -13*u + 15*u = 8354. Suppose -u - 5081 = -6*o. What are the prime factors of o?
1543
Let c(v) = v**2 - v + 16. Let n be c(-10). Suppose n = 2*q - 3*z - 373, 2*z - 10 = 0. List the prime factors of q.
257
Let y = -14741 + 24297. What are the prime factors of y?
2, 2389
Let v(y) = 61*y + 125. Let f be v(-2). Suppose 4*h - 7*h + 5*d = -5167, -f*d - 5157 = -3*h. What are the prime factors of h?
2, 857
Suppose -5*o - 17 = -2, 18 = h - 4*o. Let f = 9 - h. Suppose f*a - 28 = 83. List the prime factors of a.
37
Let u be (-8 + 10)/((-3)/(-3)). Suppose 0 = -2*t - a + 244, t + t - 248 = -u*a. List the prime factors of 17896/t - 4/30.
149
Suppose -16*h = 11*h - 81. Suppose -10*o = 5*t - 12*o - 2515, -1530 = -h*t - 3*o. List the prime factors of t.
5, 101
Suppose 3*z + 34780 = 8*z. Let a = -9761 + z. What are the prime factors of (-9)/(-21) + a/(-21)?
2, 67
List the prime factors of 7/(-2)*(-3553 + -25).
7, 1789
Let v(m) be the second derivative of 0 - 10*m + 1/12*m**4 - 5/2*m**2 + 3*m**3. What are the prime factors of v(-19)?
2, 7
Let n(s) = -s**3 - 2*s**2 + 2*s + 7. Let y be n(-3). Let h = y + -5. Suppose 4*k + 41 - 397 = -h*z, -3*z = 5*k - 432. List the prime factors of k.
2, 3, 7
Let c(b) = 2*b + 37. Let a be c(-17). Suppose -2*f + 730 = -a*p + 7*p, -4*f + 3*p = -1449. What are the prime factors of f?
3, 11
Let o = 2113 - 3990. Let w = -391 - o. List the prime factors of w.
2, 743
Let s be (4 - 5)*(13 - 0). Let r(n) be the second derivative of -7*n**3/3 - 23*n**2/2 - 9*n + 2. What are the prime factors of r(s)?
3, 53
Let f(k) = -k**2 + 14*k - 20. Let p be f(11). List the prime factors of (351/(-45))/p*(-214 - 1).
3, 43
Let l(a) = 4181*a**3 + 2*a**2 + 9*a + 2. What are the prime factors of l(2)?
2, 8369
What are the prime factors of (-630)/(-105)*(-1)/(3/(-2693))?
2, 2693
Let k(n) = n**3 + 17*n**2 + 28*n - 25. Let c be k(-15). Suppose 2*l - 810 = -4*g, 3*g + 1 = -c. What are the prime factors of l?
409
Let l(h) = -66*h + 35*h + 30*h - 1. Let d(s) = -4*s - 11. Let z(k) = -d(k) + 5*l(k). What are the prime factors of z(-5)?
11
Let o(k) = 73*k**2 - 5*k - 8. What are the prime factors of o(4)?
2, 3, 5, 19
Suppose 6*f - 986 - 2056 = 0. What are the prime factors of (f + 1 + -6)/(2/3)?
3, 251
Let m = 65 - 75. What are the prime factors of (-3)/(-5) + (-2781)/(-15) + m?
2, 11
Suppose -3*m + 683 = -4*q, m - 457 = -m + q. S | {
"pile_set_name": "DM Mathematics"
} |
e nearest 10000.
-470000
Let i = -40.1 + 35. Let g = 11 + i. Round g to the nearest integer.
6
Let d(l) = 51933338*l - 14. Let o be d(3). Suppose -22*r + 41*r - o = 0. What is r rounded to the nearest 1000000?
8000000
Let b = 1.422 + 157.978. Let w = -168.464 + b. Let r = w + 9. What is r rounded to 2 dps?
-0.06
Suppose 55 = 18*h - 7*h. Suppose 100 + h = 7*w. Suppose 18*x + 639000 = w*x. What is x rounded to the nearest ten thousand?
-210000
Let h(q) = q + 46. Let i be h(10). Let z be (1370112/i)/(-12) + 1/(-7). Round z to the nearest one hundred.
-2000
Let u = -16073.93 + 16125. Round u to the nearest one hundred.
100
Suppose 2*p - 3*t = 188683, 730*t + 377356 = 4*p + 726*t. What is p rounded to the nearest 1000?
94000
Let b = 3369985623.0000063 - 3369985808. Let s = b + 185. What is s rounded to seven dps?
0.0000063
Let q = -13.52 - 0.58. Let k = 2940 - 2955. Let m = q - k. Round m to 1 decimal place.
0.9
Let d = -133 + 131. Let m = d - -1.947. Round m to 2 decimal places.
-0.05
Let n = 1329.82 - 642.9. Let r = n - 73.62. Let k = 649 - r. What is k rounded to the nearest integer?
36
Let f = 31878281 + 13799. Let q be f/(-280) - 2/(-7). What is q rounded to the nearest ten thousand?
-110000
Let g = 8 - 6. Let b = -112487 + 163487. Suppose -g*d = -d - b. What is d rounded to the nearest 10000?
50000
Let a be (-3)/1 - (-8)/1. Let g = -7961 + 14860. Suppose -l - a*k = 3*l + 9195, 3*l + k = -g. Round l to the nearest one thousand.
-2000
Let s = -3.6686 - 0.0614. Let y = s + 74.13. Round y to the nearest ten.
70
Let o = 401248 - 136268. Round o to the nearest 10000.
260000
Let q = 17367.797403387 - 64702786.797277387. Let n = 64685516 + q. Let m = n + -97. What is m rounded to 5 decimal places?
0.00013
Let l = 1144.033675 + -1144. What is l rounded to four dps?
0.0337
Let v = 63 + -63.0031195. Round v to 4 decimal places.
-0.0031
Let q = -27302439 - -27302461.299642. Let p = q + -22.3. What is p rounded to five decimal places?
-0.00036
Suppose 0*x - 5*x + 31 = 3*l, 4*x - 2*l = 16. Suppose x*s = 27 - 2, 5*f - 5*s = -344025. Round f to the nearest one thousand.
-69000
Let y(p) = -p**2 + 16*p - 60. Let r be y(9). Let m be (-2)/(-10) + (-33320)/(-25) - r. What is m rounded to the nearest 100?
1300
Let c = 259.34 + -259. Let f = c - 0.3400622. Round f to 6 decimal places.
-0.000062
Let f = -125 - -175. Let m = f + -48.4. Let z = m + -0.14. What is z rounded to one decimal place?
1.5
Let v = 3.7 - 37.7. Let j = 72 + v. Let x = j - 37.999892. Round x to five decimal places.
0.00011
Let f = -74680.9 + 74680.209926. Let i = 3.553 - 4.243. Let n = i - f. What is n rounded to five decimal places?
0.00007
Let n = -3597 + 5037. Let g = n + -1439.99998859. Round g to six decimal places.
0.000011
Let v = -64625 - -64625.27499. What is v rounded to 2 decimal places?
0.27
Let z = 201.7 - 212.39. Let r = z - -81.35. Let s = -70 + r. Round s to one dp.
0.7
Let q = 5675 - 5710.528. Let o = q + 35. Let m = o + 0.52799747. What is m rounded to 7 dps?
-0.0000025
Let b(f) = 104*f**3 + 85*f**2 - 58*f - 51. Let l be b(31). What is l rounded to the nearest ten thousand?
3180000
Let j = -0.6684 - -0.0672. Round j to one decimal place.
-0.6
Let r = 1706.404 + -1754.49092. Let u = 48.1 + r. Round u to 3 dps.
0.013
Let b = -10.314 + 10.4. Let z = b - 0.039. Let k = z + -0.047199. What is k rounded to 5 dps?
-0.0002
Let l = 9.7 + -195.7. Let a = -185.99508 - l. What is a rounded to 3 decimal places?
0.005
Let a = 0.84 + -0.828973. Round a to 3 decimal places.
0.011
Let t = -9.583 - -9.8. Let j = -122.217 + t. Let p = j - -121.99999897. What is p rounded to 7 decimal places?
-0.000001
Let x(w) = -w**3 - 5*w**2 - w + 10. Let b be x(-4). Let p be 2/(b*4/180). What is p rounded to the nearest 10?
-50
Let u = 27992.012651 + -27992. Round u to 4 dps.
0.0127
Let i = 6353 + -6247.54. Round i to the nearest one hundred.
100
Let o = -576 + 579. Let i be (800/(-36)*o)/((-2)/(-165)). What is i rounded to the nearest 1000?
-6000
Suppose 47 = 13*l - 18. Suppose 546 = -2*a + l*m - 1111, a - 2*m + 830 = 0. What is a rounded to the nearest one hundred?
-800
Let m = 99.1189 + 437.6081. Let o = 537.614 - 0.614. Let i = o - m. What is i rounded to one decimal place?
0.3
Let k = -470.4579 - -467.02. What is k rounded to two decimal places?
-3.44
Let u(l) = 250*l - 8. Let j be u(6). Let d = 822 - j. Let t be (-7)/((-35)/d)*(-1)/2. Round t to the nearest ten.
70
Let y = -13072.6 + 14483. Let f = y - 1306. Round f to the nearest integer.
104
Let q = 2.4 - 1.93. Let m = 0.60094845 + -0.13094804. Let c = m - q. Round c to 7 dps.
0.0000004
Let v = 42641 + -42640.35934. Round v to two decimal places.
0.64
Let i(n) = 1001*n**3 + 9*n**2 - 14*n + 24. Let t(r) = r**2 + 6*r + 8. Let a = -24 - -18. Let u be t(a). Let p be i(u). Round p to the nearest 100000.
500000
Let f = 0.0534 - -0.059. Let h = f - 0.6054. Let d = h - 25.607. What is d rounded to 0 decimal places?
-26
Let f be ((-32)/(-18))/(42/189) + -1239008. What is f rounded to the nearest ten thousand?
-1240000
Suppose 73*a = 78*a + 9169840. Let d = 1497032 - a. Round d to the nearest 1000000.
3000000
Let o = -211 - -210.808. Let m = o - -0.190329. Round m to four dps.
-0.0017
Suppose -3*y + 7938 = 4*x, -2*x + 3*y + 3978 = -0*x. Let w = -1082 + x. Let a = -384 + w. What is a rounded to the nearest one hundred?
500
Let z = -10025 - -10024.9999985775. What is z rounded to 7 dps?
-0.0000014
Let y = 1473223 - 882123. What is y rounded to the nearest 10000?
590000
Let j = 26.53172 - 361.51992. Let g = -335 - j. What is g rounded to 2 dps?
-0.01
Let c(k) = -2*k**2 - 16*k - 28. Let z be c(-5). Suppose 2*b - 1475002 = -5*y, 3*y - 884995 = 7*b - z*b. Round y to the nearest 100000.
300000
Let s = -163.66056 + 159.65. Let j = -4.02 - s. What is j rounded to 4 decimal places?
-0.0094
Suppose 0 = 2*m + 3*n + 1552994, -88*m + 87*m = 2*n + 776496. What is m rounded to the nearest 100000?
-800000
Let i = -15.87 - -1.27. Let d = i + 17.6. Let j = -2.999795 + d. Round j to five dps.
0.00021
Let j = -35665.9985203 - -35666. Round j to 4 dps.
0.0015
Let y = -2273 - -2273.003985. What is y rounded to 3 dps?
0.004
Let o = -2475.5264 + 2473. Let b = -0.2676 + o. Let j = -2.8 - b. Round j to 3 dps.
-0.006
Let s = 37927.25975 + -37928. What is s rounded to three dps?
-0.74
Let g(s) = -592*s - 8965*s - 5780*s - 32 - 7043*s - 11836*s. Let b be g(-2). What is b rounded to the nearest ten thousand?
70000
Let m = 319.02 + -249.935. Let u = m + -0.085. Let r = u + -69.00096. Round r to 3 decimal places.
-0.001
Let j = -25.510004564 - -25.51. Round j to 7 dps.
-0.0000046
Let v = 0.0063 + 4.0765. Round v to 1 decimal place.
4.1
Let o = 38 + 78. Let s = o - 116.000198. What is s rounded to four decimal places?
-0.0002
Let m = -33673 + 33672.9967338. Round m to 5 decimal places.
-0.00327
Let a = 528893602 - 528890819.04589. Let u = -2768.453 + a. Let m = -14.5 + u. What is m rounded to four decimal places?
0.0011
Let t = -11.0297 + 11. Let s = t + 0.02970651. Round s to 6 decimal places.
0.000007
Let b = -92937255 - -92936757.99667. Let c = b + 497. What is c rounded to three dps?
-0.003
Suppose 4*g - 2005 + 5 = 0. Suppose 91 + 1561 = 3*x + 4*d, 0 = 4*x + 2*d - 2196. Let m be (x/(-2))/((-5)/g). Round m to the nearest 1000.
27000
Let a = -217460648 - -217460677.60000735. Let l = a - 29.6. What is l rounded to seven dps?
0.0000074
Let r = 112.7 + -100. Let q = 12.6384 - r. Round q to two decimal places.
-0.06
Let f = 622 - 644.21. Let y = -2.56 - f. Let v = 2.35 - y. Round v to zero dps.
-17
Let q = -9004035 - -12939652. Suppose i + 21749996 = -5*l, 3*i = 3*l - q + 16985629. Round l to the nearest 1000000.
-4000000
Let u = -0.008 - 0.192. Let z = u + -0.26. Let r = 0.46027 + z. What is r rounded to 4 decimal places?
0.0003
Let t = 718 + -718.541. Let w = -31.859 + t. Round w to the nearest 10.
-30
Let l = 2738.4673 + -2739. What is l rounded to 2 decimal places?
-0.53
Suppose 3*t + 2*c + 0*c + 4332904 = 0, -4*c - 8 = 0. Round t to the nearest ten thousand.
-1440000
Let z = -82312.966711 + 82313. Round z to four dps.
0.0333
Let r(a) = 833*a**3 + 8*a**2 - 20*a + 41. Let p be r(3). Round p to the nearest 1000.
23000
Suppose -5*d + 361*a - 474899990 = 363*a, -2*d - 2*a = 189959990. What is | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 11 is divided by z(f).
4
Let u(o) = -o**2 - 7*o - 9. Let x be u(-6). Suppose -4*m + m + 4*w = -36, 0 = -2*w - 6. What is the remainder when 1 + 12 + x + 5 is divided by m?
7
Let q(l) = -l**3 - 5*l**2 + 15*l + 2. Let g(u) = -u. Let n(i) = 6*g(i) + q(i). What is the remainder when n(-7) is divided by ((-52)/(-6))/((-2)/(-3))?
11
Suppose 7*d - 2*d + 3*m = 5, -5*d - 15 = -m. What is the remainder when (0 + -1)*d*10 is divided by 11?
9
Let r(s) = s**2 - 12*s - 3. Suppose m = 4*m - 57. What is the remainder when m is divided by r(13)?
9
Let k = 2 - 9. What is the remainder when 33 is divided by (k/((-14)/68))/2?
16
Suppose 7*p + 34 = 5*a + 6*p, 4*a + 4*p = 32. What is the remainder when 53 is divided by a?
4
Let b(f) = -13*f + 1. Let p be b(1). Calculate the remainder when 40 is divided by ((-9)/p)/((-3)/(-84)).
19
Suppose -2*h + 14 = 10. Let x be 15/(-4) + 4/(-16). What is the remainder when ((-2)/x)/(2/16) is divided by h?
0
Let t = -28 - -36. Calculate the remainder when 16 is divided by t.
0
Suppose -n = 2*n - 27. Calculate the remainder when (6/n)/(2/33) is divided by 3.
2
Let g(l) = 5*l**3 + 10*l**2 + 6*l + 13. Let u(t) = 9*t**3 + 19*t**2 + 12*t + 25. Let n(o) = -11*g(o) + 6*u(o). What is the remainder when 35 is divided by n(5)?
11
Let z(h) = 3*h - 1. Calculate the remainder when z(1) is divided by 1.
0
Let l(u) = -u**3 + 20*u**2 - 17*u - 27. Calculate the remainder when 43 is divided by l(19).
10
Suppose 4*b - 7*b + 40 = 2*k, -8 = 2*k. Suppose v - 5*v + 36 = 0. Calculate the remainder when b is divided by v.
7
Let l = -18 + 17. Calculate the remainder when 6/(3/l) + 68 is divided by 17.
15
Let m(v) = 30*v**3 - 2*v**2 + 1. Let o(t) be the third derivative of -t**4/8 - t**3/2 + 2*t**2. Calculate the remainder when m(1) is divided by o(-6).
14
Calculate the remainder when 23 - 20 - (2/(-1) - 42) is divided by 2/(26/12 - 2).
11
Calculate the remainder when 29 is divided by 4/10 - 624/(-240).
2
Let l(d) = d**3 + 4*d**2 - 5*d + 3. Let v(h) = h**2 - 5*h - 4. Let z be v(5). Let k(n) = n**3 + 5*n**2 - 6. What is the remainder when l(z) is divided by k(-3)?
11
Suppose -3*h - 43 = -3*m - 115, -4*m = 4*h + 136. Let y = 3 - m. What is the remainder when y is divided by (-3)/(-3)*19 + -2?
15
Let z(g) = -g**2 + 7*g + 8. Let c be (7/(-2))/((-4)/8). Calculate the remainder when 13 is divided by z(c).
5
Let o be (6/5)/(8/(-20)). Let t be (o - (-3 - 14)) + 3. Suppose t + 24 = d. What is the remainder when d is divided by 14?
13
Let a = 48 + -28. Let n(g) = -9*g**3 + 4*g**2 + 5*g. Calculate the remainder when n(-2) is divided by a.
18
Let a = 16 + 3. Suppose 2*c = -5*o + 25, c + c - a = -3*o. Suppose -4*x + 4 = 3*s, -x - 5*s = -5*x + 36. What is the remainder when x is divided by o?
1
What is the remainder when 193 is divided by 5 - (-10 - 1/(-1))?
11
Suppose 0*z + 3*z = 4*g + 39, 4*g + 3*z = -33. Let c = 30 + g. Let p = 201 + -139. What is the remainder when p is divided by c?
20
Suppose 0 = 4*u + 3 - 55. Let h = u + -5. Calculate the remainder when 15 is divided by h.
7
Let a(d) = d**2 - 6*d - 7. Suppose 0 = -2*y + 5*b + 24, 5*b - 10 = -0*b. Calculate the remainder when y is divided by a(8).
8
Let x be (2 + 4)*(-1)/3. Let m be 0/(x/(-6)*3). Suppose 2*a - 96 + 38 = m. Calculate the remainder when a is divided by 15.
14
Suppose 4*j + 15 = j. Let h = 13 + j. Calculate the remainder when 31 is divided by h.
7
What is the remainder when (-118)/(-4) - 5/10 is divided by 8?
5
Let j = -10 - -6. What is the remainder when (0 + 1)/(2/22) is divided by j*(0 - -3)/(-3)?
3
Let q(i) = -3*i + i**2 + 5*i + 14 + 0*i + 4*i. What is the remainder when q(-10) is divided by 19?
16
Suppose 0 = 2*a - 0*a - 130. Let x = -22 - -44. Calculate the remainder when a is divided by -3 + 1 + 2 + x.
21
Let w(d) = -d + 10. Suppose 0 = -2*c + 3 - 1. Suppose -p + c = -7. Calculate the remainder when w(p) is divided by 2.
0
Suppose 6 = -5*g + 3*c, -2*c = -3*g + c. Let r(t) = t - 7. Let s(m) = -2*m + 8. Let q(i) = g*s(i) - 4*r(i). Calculate the remainder when 27 is divided by q(3).
7
Let r(g) = g**3 - 8*g**2 + 7*g - 1. Let p be r(6). Let l = 4 - 6. What is the remainder when 2*(1 + p/l) is divided by 12?
9
Let o(r) = r + 82. Calculate the remainder when o(0) is divided by 21.
19
Let g = 6 - -8. What is the remainder when 23 is divided by g?
9
Suppose 0*h - 5*h + 199 = -2*n, h = -3*n + 33. Suppose 5*o + h = 8*o. Calculate the remainder when 37 is divided by o.
11
Suppose 5*v - c - 3 = 26, 4*c = -v - 11. Suppose -1 = 2*y + 3*w, 6*w - 8 = y + 10*w. What is the remainder when v is divided by y?
1
Let c(b) = 4*b**2 - 1. Calculate the remainder when c(-2) is divided by 4.
3
Let g(v) = 2*v**2 + 6*v. Calculate the remainder when g(-4) is divided by 6.
2
Let c = 101 - 67. Suppose 0 = 2*g + 7 - 19. Calculate the remainder when (c/(-4))/((-1)/2) is divided by g.
5
Let l be (-12)/(-18)*(-3)/(-2). Suppose -5*c + 17 = a, 2*c - c = a + l. Suppose -16 = -2*v - a*v. What is the remainder when 14 is divided by v?
2
Let j = 5 + -9. Let f = 0 + j. Let w(a) = 2*a**2 - a - 4. What is the remainder when w(f) is divided by 17?
15
Suppose -4*d + 108 = 2*o, 0 = -2*o - 2*d + 49 + 63. Calculate the remainder when o is divided by 6.
4
Let m be (-4 + 2)*(-7)/(-2). Let x(u) = u + 10. What is the remainder when 5 is divided by x(m)?
2
Let u(m) be the second derivative of m**4/12 + m**3/3 - 3*m**2 + 2*m. What is the remainder when u(-5) is divided by 3/(-18)*-3*10?
4
Suppose 3*s + 3 = -0. Let n(h) = -14*h - 1. Suppose 0 = -4*l + p + 120 + 36, 4*p + 130 = 3*l. Calculate the remainder when l is divided by n(s).
12
What is the remainder when (143 - -1*1)*(-20)/(-40) is divided by 25?
22
Suppose 29 + 3 = 4*v. What is the remainder when 23 is divided by v?
7
Let v be 89 + 3/(-1) + 1. Suppose 4*z = z + v. Calculate the remainder when z is divided by 10.
9
Suppose 0 = -41*j + 46*j - 15. Let o(z) = -27*z**3 + z**2 + z. Let l be o(-1). Suppose j*s + 0 = l. What is the remainder when 16 is divided by s?
7
Let v(d) = d**2 - 7*d + 8. Let w be v(6). Let c(r) = -w - r**2 - 2 + 0*r + 5*r + 0*r**2 + r**3. What is the remainder when c(3) is divided by 16?
13
Let i(z) = 7*z**2 - 2*z. Calculate the remainder when i(-2) is divided by 3/(-2)*2 - -20.
15
Let f(l) = 2*l - 5. Let k be f(4). Suppose 0 = -2*z + 4*g + 160, -k*z - 3*g + 320 = z. What is the remainder when (-1*3)/((-12)/z) is divided by 11?
9
Let h(z) = -z**3 - 3*z**2 - 3*z + 1. Let b be h(-3). What is the remainder when 74 is divided by (-15)/b*(-114)/9?
17
Suppose 0 = -3*x + 4*h - 2, -5*x = -4*h + 1 - 3. Suppose 28 = -x*v + 68. What is the remainder when 39 is divided by v?
19
Let a(v) = -v**3 - v**2 + v - 63. Let p be a(0). Let j = -99 - -68. Let h = j - p. What is the remainder when h is divided by 11?
10
Suppose 4*h + 21 - 57 = 0. Suppose 10*q = h*q + 10. What is the remainder when 28 is divided by q?
8
Let z = -5 - -11. What is the remainder when 11 is divided by 64/12 - (-4)/z?
5
Suppose 0 = -12*b + 17*b - 15. Calculate the remainder when b is divided by 2.
1
Let v(h) = h**2 - 2*h + 22. What is the remainder when v(0) is divided by 4?
2
Suppose 2*j + 3 = j + 2*y, -4 = -y. Suppose -h - 3*c + 2 = -3*h, 0 = -5*h + j*c. Calculate the remainder when h is divided by ((-4)/(-5))/((-36)/(-90)).
0
Suppose 5*d = -9 + 49. Let u(t) = 22*t. Let g be u(1). Suppose 2*b = 4*r + g, -5*b + 2*r = -8 - 15. Calculate the remainder when d is divided by b.
2
Suppose 5*t - 3 - 27 = 0. Let l(o) = o**3 + 3*o**2 - 5*o - 2. Let j be l(-4). What is the remainder when (-10)/((-1 - 2) + j) is divided by t?
4
Let t be (-2)/(-6) + 4/(-3). Let g = t - -10. What is the remainder when 33 is divided by g?
6
Let p = -99 - -186. What is the remainder when p is divided by 30?
27
What is the remainder when 1/(4*(-2)/(-424)) is divided by 14?
11
Let r(y) = y**2 + 3*y - 261. What is the remainder when r(15) is divided by 3/(-1 - -1 - -1)?
0
Let y(j) = 4*j - 27. What is the remainder when y(21) is divided by 29?
28
Let r(m) = m**3 + 5*m**2 - 8*m - 6. Let j(v) = v**3 - 8*v**2 + v + 8. What is the remainder when j(8) is divided by r(-6)?
4
Let t be (6/(-10))/(11/(-275)). Let h(x) = 9*x**2 + 2*x + 1. Let r be h(2). Let w = r - t. Calculate the remainder when w is divided by 14.
12
Let b(v) = 8*v* | {
"pile_set_name": "DM Mathematics"
} |
<= -1?
False
Let l be (-136)/(-2)*(3 + (-4)/2). Which is smaller: l or -0.1?
-0.1
Let w(a) = -a - 1. Suppose 0*i - i = 5*f - 2, 0 = -2*f + 2. Let c be w(i). Suppose -4*l - l + 16 = c*q, -2*l - 3*q + 2 = 0. Is l <= 5?
True
Suppose 0*d = 4*d. Which is smaller: 1/16 or d?
d
Suppose -w - 8 = 2*w + 2*x, 2*w - 2*x + 12 = 0. Let n = w - 5. Are -9 and n nonequal?
False
Let l = -32 + 31. Which is bigger: l or -1/3?
-1/3
Suppose 9*y - 2*z = 4*y - 10, -2*y + 10 = 2*z. Suppose y*d + 2*d = 2*u, u = 2*d. Which is smaller: -1 or d?
-1
Let w = 7729/4 + -1923. Is w <= 9?
False
Let o(s) = -s**2 + 3*s - 7. Let a be o(6). Let l be 155/a + 1/5. Which is bigger: 0 or l?
0
Suppose -4*v + 2 = -2. Let j be 2/(-4)*8*v. Which is bigger: -5 or j?
j
Let p = 8 + -7.7. Let o = p + -1.3. Which is greater: o or -1/4?
-1/4
Suppose 4 = r - 0. Let j(i) = 2*i - i**3 - r*i - 2*i - 2*i**2 + 5*i. Let g be j(1). Is g at most as big as -2?
True
Let g = 0.1 - 12.8. Let d = 13 + g. Which is smaller: 6 or d?
d
Suppose 0 = -2*z - 2*p + 14, -z + 6*p = p + 11. Let q = z - 19/5. Are q and 1/3 equal?
False
Let k = -1.09 + 1.19. Which is smaller: 8 or k?
k
Suppose 2*v = -3*q + 128, 0*q = 2*q + 3*v - 92. Suppose -5*k + q = -k. Is k bigger than 8?
True
Suppose 4 = 2*x, 3*o = x - 3*x + 1. Is o at least as big as 4?
False
Suppose 4*v + 8 = -4*f, 4*f = f + 4*v - 34. Let d be (-7)/f - 2/6. Let z = 18.9 - 18.8. Which is smaller: d or z?
z
Let h = -0.1 - -3.1. Let u = 2.8 - h. Suppose w + 0*w = -2, -2*o = w. Is o greater than or equal to u?
True
Let y = -4 - -9. Suppose 30 = y*w - 2*w. Let g be 2/3 - w/15. Which is greater: g or -1?
g
Let u(q) = q**2 + 2*q - 3. Let h be u(-4). Suppose -2*i - h*t = -i + 5, -t + 17 = 2*i. Let z be (16/i)/((-2)/(-5)). Is z not equal to 5?
True
Let f = 45 - 30. Which is smaller: 14 or f?
14
Suppose c = 11*c + 530. Is -52 bigger than c?
True
Let y be 0 + 43/(-36) - -1. Let i = y + 4/9. Let u = -8 + 9. Do u and i have different values?
True
Let z = 75 - 75.1. Let x be 1*6*2/(-8). Is z < x?
False
Suppose 0*t - 3*t = 0. Suppose t = 5*u - 7*u + 2. Let d = -3 + 4. Is u at most d?
True
Let p be (-57)/950*2/(-6). Is p >= -1?
True
Let h = 4 - 2. Suppose -q - 3 = -h. Which is bigger: -2/15 or q?
-2/15
Let t = -6 - -8. Let c = -1.4 + -1.7. Let b = c + 3. Which is smaller: b or t?
b
Suppose -5*a + 22 = -4*u, 0 = -2*a - 5*u - 2 - 9. Let h = 61/60 - 5/12. Which is bigger: h or a?
a
Let p = 68 - 99. Let s = 52 + p. Let o be 3/(-5) - s/15. Do o and 1 have the same value?
False
Let l be ((-5)/(-25))/(1/(-3)). Suppose -3*i = 1 + 2. Which is greater: l or i?
l
Let l(c) = 4*c. Let p(g) = 11*g - 1. Let f(k) = 8*l(k) - 3*p(k). Let m be f(3). Is 1 > m?
True
Let z be (-4)/50*(-5)/3. Which is bigger: z or -1?
z
Suppose 2*k + 35 = 5*c, c + k - 10 = -2*c. Suppose -2*x = 3*x - c. Which is greater: x or -2?
x
Let a(l) = -2*l**2 + 19*l + 3. Let r be a(10). Suppose h = -2*j + 6*h - 11, -4*j + 3*h - 29 = 0. Which is smaller: j or r?
j
Suppose 0 = -5*g - 5. Let i = g + 0. Let b = 137/33 + -13/3. Which is greater: i or b?
b
Suppose 0 = 8*x - 3*x - 5. Which is bigger: 2/39 or x?
x
Let q be ((-3)/(-6))/(2/5). Suppose -3*y = 1 - 7. Which is greater: y or q?
y
Suppose -5*b - 4*z = -26, -4*z + 20 = -b + 3*b. Suppose 22 = 2*t - 4*l, 5*t = 2*l + b*l + 25. Which is greater: 1/3 or t?
t
Let j = 489 - 273. Let q = j - 2370/11. Which is smaller: q or 2?
q
Let w = -10 + 18. Let h be (2/w)/(1/4). Let p = -577/9 + 64. Do p and h have the same value?
False
Let p = 3 + -3. Suppose 0 = -t + 2 - p. Which is smaller: 3/4 or t?
3/4
Let t = -1 - -1. Let u(p) = p**2 + 8*p + 2. Let z be u(-8). Let i be z + -2 - (-3)/3. Which is smaller: i or t?
t
Let z be (-4)/((-16)/119) + (-2)/(-8). Is 31 at most as big as z?
False
Suppose 2*m - 4 = 2*a, -2*a + 2*m - 14 = 5*m. Suppose 4*w - 1 = 7. Suppose -q = -3*g - 10, 3*g + 4 = -w*q + 6*q. Is g equal to a?
True
Let b = -23 + 23. Which is bigger: b or 1?
1
Let d = 72 - 72. Which is greater: 8/25 or d?
8/25
Suppose -4*u + 4*i = -32, -3*u + 6*i + 28 = 2*i. Let t = u + -2. Suppose -m + 7 = g, g = m + t*m - 1. Is -1/4 at least as big as m?
False
Let m(k) = k**2 + 6*k + 7. Let s be m(-5). Let f = s - 3. Is f at least as big as -1/2?
False
Suppose 9*b - b = 216. Is b at least 26?
True
Let k(c) = -c**2 - c + 1. Let j be k(2). Let x = 3 + j. Let t = 0.1 + -0.1. Which is bigger: t or x?
t
Suppose 0 = 5*f + 2*v + 11, 0*f + 5*v - 4 = -2*f. Let x = -3 - f. Suppose 4*a + 16 = -a - 3*w, a - 2*w - 2 = x. Is a < -3?
False
Let h = 4754/2189 - -2/199. Let c = -190/77 + h. Let o = 0 + -0.3. Which is greater: c or o?
c
Suppose 0 = -2*q - 3*q + 5. Let j be (-16)/(-6)*q/(-4). Do 0 and j have the same value?
False
Let b be (8/(-5))/(4/20). Which is bigger: b or -28/3?
b
Let f(s) = s**2. Let v be f(1). Let g be -1 + 1 + v - 0. Is g greater than or equal to 1?
True
Let g = -0.24 + 0.34. Which is smaller: -35 or g?
-35
Let z = 0.1 + 0.1. Let x = 0.1 - z. Which is smaller: 4 or x?
x
Suppose 3*n + 2 = -4*i - 2, 6 = 3*i. Is -4 at least as big as n?
True
Let c = -3 + 2.99. Let v = 0.19 + -0.18. Let s = v + c. Is s at most 1?
True
Let a = -3 - -3. Suppose 2*y = -a*y. Suppose h + h = y. Is 3/10 at least as big as h?
True
Let s be (-5192)/(-7635) + (-2)/3. Let d = 3549/16288 + s. Let a = -1/32 + d. Which is smaller: a or -2/7?
-2/7
Let s(j) = -j**2 - 3*j - 1. Let d be s(-2). Suppose 3 = 3*z, -2*t + z + 9 = -0*t. Suppose 2*l = 5*w - t, 4*w - l - 4 = -4*l. Is w > d?
False
Suppose 9 = 3*o + 3*d, d + 45 = 5*o - 4*d. Suppose k = -2*k - o. Is k bigger than 2?
False
Suppose 0 = -7*b + 31 + 25. Which is smaller: b or 9?
b
Suppose 2*c = -3*d - 11, 7 = -3*d - 4*c - 6. Let u be d*(-1 - 6/(-9)). Let k be -2 - 5/(190/(-72)). Which is greater: u or k?
u
Suppose -10 = z - 13. Are z and 3 nonequal?
False
Let u(g) = -g**3 - 3*g**2 + 3*g - 3. Let b = -3 + -1. Let z be u(b). Let t(m) = 2*m**2. Let p be t(z). Which is bigger: 2/9 or p?
p
Let h = -1.5 + 1.4. Let g be -11 - ((-2 - -7) + -2). Which is greater: h or g?
h
Let n be (2/3)/((-24)/(-9)). Let q = 1 - 0. Suppose -y + 4 = -3*f, -5*y + 1 = 3*f - q. Which is smaller: n or y?
n
Let h = 4 + -1. Suppose -h*v + 2 = 4*u, -4*v = -0*v - 8. Which is bigger: u or 2/19?
2/19
Let o = 3 - 5. Let d = 115/428 + -2/107. Which is greater: o or d?
d
Suppose -7*v + 35 = -161. Is 26 equal to v?
False
Let t be -6*1*2/68. Does t = 1?
False
Let f = -187/387 - -5/129. Is -1 smaller than f?
True
Let n = -22/347 - -10279/47192. Let o = n - 1/34. Let r = -44 + 44. Is o >= r?
True
Let l(x) = -4 + 0*x - 2 + 2*x. Let c be l(5). Suppose 0*r = -r + 3, c*r - 17 = 5*p. Do p and 2/9 have the same value?
False
Let w = -1 - 4. Let o = w - -5.6. Let j = o - 0.4. Are j and -0.3 non-equal?
True
Let j = 242 - 1204/5. Which is bigger: 2 or j?
2
Let j(v) = -13*v - 1. Let r be j(-1). Let l be (r/3)/(6/3). Let c be -2 + (l - (-1 - -2)). Which is greater: 1 or c?
1
Suppose 0 = -f + 2*b - 6, 0 = -4*f - 4*b + b + 20. Let v = 5/2 - 3. Is f > v?
True
Suppose -3*b = 2*b. Suppose 3*f - 9 = b, 5*f - 737 = 5*v + 48. Let o = v - -1388/9. Which is bigger: 0 or o?
o
Let i(s) = -6*s + 79. Let m be i(13). Which is greater: m or 1/37?
m
Let a = 176 + -2817/16. Which is bigger: a or -1?
a
Let i = 3 + -5. Let v = i - -3. Let q be 2/4*(v - 1). Which is greater: -1/2 or q?
q
Let t = -2/81 - -53/1053. Is t equal to 1?
False
Suppose -r - 5*c - 13 = 0, 4*r + 0 + 1 = -3*c. Is r >= 2?
True
Let u be -3 - -501*(-4)/15. Let m = u - -137. Which is smaller: m or 1?
m
Let n = -204 - -104. Which is greater: -99 or n?
-99
Suppose -2*o = -4*o. Suppose o = 4*f - 2*f - 4. Let c be (2/(-4))/(1/(-6)). Does c = f?
False
Let w be -4 + 0 - 1452/(-374). Let r be 0/1 + 0 + -1. Is r > w?
False
Let x = 5 + -9. Suppose 7 + 13 = 5*s. Suppose -2*p = -p + s. Are x and p nonequal?
False
Let b = 526969/3913 - -24/559. Let q = b - 135. Do q and -1 have the same value?
False
Let u be -2 + 0 + -1 + 108. Let y be 1 + ((-2980)/14)/2. Let w = u + y. Which is smaller: -1 or w?
-1
Let z(s) = -2*s + 22. Let i be z(11). Is 2/39 equal to i?
False
Suppose 4*c + 20 = 3*p, 16 - 1 = p - 3*c. Suppose p = a + a - o + 6, 0 = -3*a + 4*o - 9. Is -6 < a?
True
Let g = 10 - 15. Let z(c) = c**3 + 4*c**2 - 5*c - 2. Let p be z(g). Which is bigger: p or -1?
-1
Let i = 18 + -17. Which is smaller: -25 or | {
"pile_set_name": "DM Mathematics"
} |
5351 rounded to five decimal places?
-0.01081
Round 2.50281875 to three decimal places.
2.503
Round 0.08753632552 to two dps.
0.09
What is 563072.8143 rounded to the nearest one hundred?
563100
What is 94897099 rounded to the nearest one hundred thousand?
94900000
Round 0.00082973165 to five decimal places.
0.00083
Round 114.1324518 to 2 decimal places.
114.13
What is 37268877000 rounded to the nearest 1000000?
37269000000
What is 5.57150494 rounded to two decimal places?
5.57
What is 0.000775916661 rounded to 4 decimal places?
0.0008
Round -419473.0619 to the nearest ten thousand.
-420000
Round 155.528918 to the nearest ten.
160
What is -0.00002317167 rounded to 6 decimal places?
-0.000023
What is -304565.09 rounded to the nearest one hundred?
-304600
Round 555580691.8 to the nearest ten thousand.
555580000
What is 280.997956 rounded to the nearest one hundred?
300
Round -0.009613598999 to 3 decimal places.
-0.01
What is 407.115444 rounded to 2 dps?
407.12
Round 130.15649 to zero decimal places.
130
What is 6.417665759 rounded to 1 decimal place?
6.4
What is 0.69557264 rounded to 3 decimal places?
0.696
What is -0.00002655216228 rounded to 5 dps?
-0.00003
What is 36.8751268 rounded to 0 dps?
37
Round 0.0008113310992 to 5 decimal places.
0.00081
What is 20000.5956 rounded to the nearest one thousand?
20000
What is -16608452783 rounded to the nearest 1000000?
-16608000000
What is 66.704763 rounded to one decimal place?
66.7
Round 0.00001712013437 to seven dps.
0.0000171
Round -0.105675112 to three decimal places.
-0.106
What is -10.9051138 rounded to 1 dp?
-10.9
Round 9265223.34 to the nearest one hundred thousand.
9300000
What is 68911.67 rounded to the nearest ten thousand?
70000
Round 590917.687 to the nearest one hundred thousand.
600000
What is -96.251315 rounded to the nearest ten?
-100
What is 286.949124 rounded to 2 decimal places?
286.95
What is 91862.226 rounded to the nearest 100?
91900
Round 14232.5164 to the nearest one thousand.
14000
What is -288767221.3 rounded to the nearest one hundred thousand?
-288800000
What is -1416.83698 rounded to the nearest ten?
-1420
Round 63.021687 to 2 dps.
63.02
What is -0.013945248 rounded to 5 decimal places?
-0.01395
What is -8569.85169 rounded to the nearest 100?
-8600
What is -2895.13781 rounded to the nearest 10?
-2900
Round 0.2880417 to 2 decimal places.
0.29
Round 78788.363 to the nearest 10000.
80000
What is -634579379 rounded to the nearest 100000?
-634600000
What is 393.392916 rounded to the nearest one hundred?
400
Round 0.208847701 to two dps.
0.21
Round -0.30477842 to two dps.
-0.3
Round 14276.2304 to zero decimal places.
14276
What is -5.7636671 rounded to two dps?
-5.76
Round -288014.8609 to the nearest ten thousand.
-290000
Round -95280.81 to the nearest ten thousand.
-100000
Round 0.007834766198 to 7 dps.
0.0078348
Round 0.0001879803075 to 5 decimal places.
0.00019
What is 1102787499 rounded to the nearest one million?
1103000000
Round 0.028798476 to 6 dps.
0.028798
What is -24972.2655 rounded to the nearest integer?
-24972
What is -659933.67 rounded to the nearest one thousand?
-660000
Round -34235909.39 to the nearest 1000.
-34236000
Round 0.194608061 to 4 dps.
0.1946
What is 0.00333801161 rounded to six decimal places?
0.003338
Round -2427028.02 to the nearest 10000.
-2430000
What is -825.426485 rounded to the nearest one hundred?
-800
Round -0.000020075671577 to 7 decimal places.
-0.0000201
Round 0.0000273126052 to six decimal places.
0.000027
What is 12228692.76 rounded to the nearest 10000?
12230000
What is 0.0004777449074 rounded to 4 decimal places?
0.0005
What is -136.8124928 rounded to the nearest integer?
-137
What is -0.0013187403 rounded to 7 decimal places?
-0.0013187
Round 2229.259289 to zero dps.
2229
What is -0.000543075509 rounded to five dps?
-0.00054
Round -0.0250298402 to three dps.
-0.025
Round -25724.47177 to the nearest 10000.
-30000
What is 207.0892 rounded to zero decimal places?
207
Round -0.1736734999 to four decimal places.
-0.1737
Round -0.0091380758 to 6 dps.
-0.009138
Round 0.0001312532356 to 6 dps.
0.000131
What is -0.00047754878 rounded to 4 dps?
-0.0005
What is 669.110045 rounded to 2 decimal places?
669.11
What is 12993501.1 rounded to the nearest 100000?
13000000
Round -0.0000080192608 to six decimal places.
-0.000008
What is -1749940.82 rounded to the nearest ten thousand?
-1750000
What is -299.251581 rounded to the nearest one hundred?
-300
What is 34939901.2 rounded to the nearest one million?
35000000
Round 24294.78165 to the nearest 10.
24290
Round 0.00098717545 to 6 dps.
0.000987
What is 0.0019952886 rounded to six decimal places?
0.001995
What is -0.000030436646 rounded to five dps?
-0.00003
Round 13.1335565 to two decimal places.
13.13
What is 2040.6326 rounded to the nearest one hundred?
2000
What is -334.641491 rounded to the nearest one hundred?
-300
What is 0.00000052906394 rounded to 7 decimal places?
0.0000005
Round 4840282.108 to the nearest 100.
4840300
Round -1341491.695 to the nearest 10000.
-1340000
What is 0.0705094608 rounded to one decimal place?
0.1
Round -5144488430 to the nearest 1000000.
-5144000000
Round 0.63449504 to 2 decimal places.
0.63
What is -0.015458528 rounded to four dps?
-0.0155
Round 1.41946381 to three dps.
1.419
What is 29168279 rounded to the nearest 100000?
29200000
What is 1959002.082 rounded to the nearest 100000?
2000000
What is -0.0000176989692 rounded to seven dps?
-0.0000177
What is 0.0004101788 rounded to 4 decimal places?
0.0004
What is -0.0244465 rounded to 5 decimal places?
-0.02445
Round 94.29149663 to 1 decimal place.
94.3
Round -397714.991 to the nearest one hundred thousand.
-400000
Round -2.498953732 to five decimal places.
-2.49895
What is -0.0007494049319 rounded to 5 dps?
-0.00075
Round 3347733.39 to the nearest ten.
3347730
Round -0.0001759120962 to 7 dps.
-0.0001759
Round 14410167.29 to the nearest 100000.
14400000
What is 3810408.8 rounded to the nearest ten thousand?
3810000
What is -4613.24605 rounded to the nearest ten?
-4610
Round -0.0000025195672 to 6 decimal places.
-0.000003
Round -0.02736262685 to 6 decimal places.
-0.027363
Round 3.62167632 to three dps.
3.622
What is -2539.35923 rounded to the nearest 10?
-2540
What is -0.0034089572 rounded to three decimal places?
-0.003
What is -0.000111772765 rounded to seven dps?
-0.0001118
What is -3173924.52 rounded to the nearest one hundred thousand?
-3200000
What is 2130.3366 rounded to the nearest 1000?
2000
What is 5603844790 rounded to the nearest 1000000?
5604000000
Round 199080.96 to the nearest 100000.
200000
Round -0.0000196574361 to 5 decimal places.
-0.00002
What is 17616369850 rounded to the nearest one million?
17616000000
What is -611.507037 rounded to the nearest integer?
-612
What is 24812427.9 rounded to the nearest 100000?
24800000
What is -2700013.6 rounded to the nearest one hundred thousand?
-2700000
What is 0.005629362305 rounded to 3 decimal places?
0.006
What is -0.0236175932 rounded to 4 decimal places?
-0.0236
Round -11659113.352 to the nearest one million.
-12000000
Round -0.00001205527125 to 6 dps.
-0.000012
What is 113891607.6 rounded to the nearest ten thousand?
113890000
Round -1.114572975 to one decimal place.
-1.1
Round 1008120.565 to the nearest 100000.
1000000
Round 0.000267360949 to seven dps.
0.0002674
Round -46.0887641 to one dp.
-46.1
What is -235957402 rounded to the nearest 100000?
-236000000
Round 0.07308006983 to 5 decimal places.
0.07308
What is -13700413840 rounded to the nearest 1000000?
-13700000000
Round 0.00000093886887 to 7 dps.
0.0000009
What is -0.01439731388 rounded to 5 decimal places?
-0.0144
What is 0.01347878548 rounded to five dps?
0.01348
Round 386177.304 to the nearest one thousand.
386000
Round -0.000929735783 to six decimal places.
-0.00093
Round -0.003027550045 to seven decimal places.
-0.0030276
What is -0.0313675599 rounded to 5 dps?
-0.03137
What is 8395.947406 rounded to the nearest 1000?
8000
What is 0.00183061177 rounded to 7 decimal places?
0.0018306
Round 224916.69 to the nearest one hundred.
224900
What is 121357.129 rounded to the nearest 1000?
121000
What is 29.1535345 rounded to one decimal place?
29.2
Round 0.00000550239028 to 7 decimal places.
0.00000 | {
"pile_set_name": "DM Mathematics"
} |
d*p for p.
-2
Let x = -22 + 24. Solve -x*b = -11*b for b.
0
Let j(x) = -x + 8. Let w be j(0). Suppose 0 = 5*m - 2*q - 16, 5*m - 4 = 4*q + w. Suppose m = 6*a - 4*a. Solve 2 = -a*r - 0*r for r.
-1
Let b(q) = -q**3 + 7*q**2 - 4*q - 9. Let i be b(6). Suppose -5 - i = -2*o. Solve g + o*g + 10 = 0 for g.
-2
Let m(y) = y**3 - 2*y**2 - 2*y. Suppose 0 = -2*k - 4*x - 10, 0*k + 3*x = 3*k - 21. Let q be m(k). Solve -f = -q*f + 8 for f.
4
Suppose -34 = -4*h - 0*h - 5*w, 8 = 3*h - 5*w. Let j be 0/2*h/(-12). Solve 0*i - 3*i - 6 = j for i.
-2
Suppose -41 = -5*q - 4*b - 17, 0 = -5*q + 4*b + 16. Suppose -2*x = q*n - 3*x - 13, -4 = -4*n + 4*x. Solve -p = n*p for p.
0
Let w be (-84)/(-30) + 1/5. Let a be 11 + -15 - (-36 + -1). Let x = -26 + a. Solve -w*m - 1 = -x for m.
2
Let j be 5/(-15) + 32/6. Suppose 0 = q - j*n - 9, 4*q - 4*n + 9 = 5*q. Suppose 2*s = 5*b - 14, -2*s + q = 5*b - 17. Solve -10 + 1 = -s*g for g.
3
Let j = -4 - -6. Suppose -q - 2 = j. Let x be 30/40 - 29/q. Solve -y = y - x for y.
4
Suppose -f + 8*f = 7. Let d be -8 + 6 + f + 7. Solve 0 = -u + d*u - 20 for u.
4
Suppose -1 - 5 = 6*o. Let m be o/(1/(-3)) + (-6)/2. Solve m = 4*n - 3*n + 1 for n.
-1
Let l be (-3)/(3/(-2)) - 0. Let q = 3 + 0. Suppose 4*p = -g - q, -p - 8 = -g - 6. Solve -l*y = -g - 1 for y.
1
Suppose 32*a - 38*a = -132. Let l(d) = d**3 - 21*d**2 - 22*d + 2. Let w be l(a). Solve w*j + 8 = -2 for j.
-5
Let b(v) = v**3 - 2*v**2 + 4*v - 3. Let s be b(2). Let a be 10/s*(1 + 0). Suppose 4*f = 3*f + a. Solve 2*k + f = -0 for k.
-1
Let t(m) = m**2 + 7*m + 8. Let x be t(-6). Suppose -29 = x*o - 91. Let w = o - 5. Solve 1 - w = 5*z for z.
-5
Let n be ((-3)/2)/(6/(-8)). Suppose 42*b = 39*b. Suppose -3*s - 6 = 0, -4*h - 2*s - s + 18 = b. Solve 0 = -n*m + 5*m + h for m.
-2
Let b be (-10 - (-30)/6)*29/(-5). Solve 30*p = b*p - 1 for p.
-1
Let p(k) = -k**2 - 7*k + 8. Let g be p(-8). Suppose g = -2*t - 2*t + 12. Suppose t*w = -w - y + 16, y = 3*w - 19. Solve w = z + 1 for z.
4
Let l = 257 + -252. Solve -l*t = 31 - 56 for t.
5
Let u(h) = -h**2 + 9*h + 1. Let i(n) = n**2 - 12*n + 7. Let x be i(12). Let f be u(x). Let d = f + -13. Solve 0 = d*t + 3*t - 10 for t.
2
Suppose -2 = -2*w, 0*w = 4*z - 2*w - 10. Solve -z*m - 2*m - 15 = 0 for m.
-3
Let p be (-2 + 3)/((-3)/(-24)). Let w(i) = -1 + 0*i - 3 + i. Let g be w(p). Solve 0 = 2*k + g - 12 for k.
4
Suppose 0 = t + 3 - 6. Suppose -3*u + 12 = t*f, -5*u + 2*f = -0*u - 34. Let g be (-8)/u*(-3)/2. Solve g*a - 2 = -8 for a.
-3
Let g(m) = -6*m**2 - 38*m - 6. Let y be g(-6). Solve y*p - 4*p + 4 = 0 for p.
-2
Let s(h) = -h**3 - h**2 + 2*h - 1. Let n be s(-3). Suppose -18 + 4 = -2*v + 4*x, v + 3*x - 17 = 0. Let o = n - v. Solve o = -3*f - 0 + 3 for f.
1
Let m be ((-5)/1 + 4)*(-48)/3. Solve m = -5*l + 41 for l.
5
Suppose 3*x - 6*x = 45. Let s = x - -27. Let z be 3/s*-5*-4. Solve -2*j - z = -3*j for j.
5
Let k be -1*(18/(-45))/((-2)/(-20)). Solve 0 = -3*n + 7*n - k for n.
1
Let h be 3/(-39) + (-1113)/(-273). Solve -h = i + i for i.
-2
Let k(n) = n**2 + 3*n - 2. Let q be k(-4). Suppose 2 = 3*z - 4. Suppose -w + z = -2. Solve w*h = q*h for h.
0
Let u be 1/4 - 4785/(-44). Suppose u = 5*z - 3*x, x = z - 0*z - 21. Let w = z - 22. Solve 3 + w = -g for g.
-4
Suppose -12 = 4*k, -2*d + 5*k + 39 = d. Let p be (-2 + 12/8)/((-2)/d). Solve 2 = -0*l - p*l for l.
-1
Let q(z) = -z**2 - 4*z + 4. Let g be q(-4). Let u be (-8)/2 + g + 2. Solve 15 = -u*n - n for n.
-5
Let u be (-4)/(-2) - 4/((-4)/1). Suppose -5*s - 10 = -n, 3*s + 7 = 5*n + 1. Suppose -q - 4*q + u*p + 12 = n, p = 4*q - 11. Solve -10 - 2 = -q*o for o.
4
Let j be (18 - 13)*(-1 + (-11)/(-5)). Solve 0*t = 2*t - j for t.
3
Suppose -7 = 4*k - 3*k. Let r(a) = -3*a - 3. Let l be r(k). Solve -4*g = -2 - l for g.
5
Let b be -5 - ((-104)/14 + (-40)/70). Solve 4*q - 1 = b for q.
1
Let t = -474 + 474. Solve t = 7*v - 16 - 19 for v.
5
Suppose -3*o + 5*z = -36, 2*o - 20 - 4 = -3*z. Solve -5*k - 7 + o = 0 for k.
1
Suppose 0*d = -2*d + 2. Let w be (1 + 1/d)*(2 - -2). Suppose 0*q = 4*q. Solve q*n - 2*n - w = 0 for n.
-4
Let t(w) = -49*w**2 - w - 2. Let b be t(-1). Let n = b - -51. Solve n = -5*y - 4 for y.
-1
Let i(o) = o**2 - 19*o + 92. Let c be i(9). Solve k + c + 3 = 0 for k.
-5
Suppose 2 = 4*y + 5*w + 30, 2*w + 10 = -y. Let c be (-4 - (y - 2))/(-2). Suppose -s + 1 = -c. Solve -1 = -n + s for n.
2
Suppose 242*z = 233*z + 45. Solve z*i - 15 = 8*i for i.
-5
Suppose 5*t + 5*u - u - 58 = 0, -10 = -5*u. Let m = 12 - t. Suppose -5*k = -m*y + 1 + 30, -4 = 2*y + 2*k. Solve -y*d + 3 = -6 for d.
3
Let v = -385 + 387. Solve 3 + v = -5*n for n.
-1
Let m(w) = -3*w - 7 + 4*w - 5. Let z be m(15). Suppose -3*j - 9 = -3*c, -c + 0*c = -z*j - 1. Solve -j = -a + 2 for a.
3
Let p(w) = -78*w + 2. Let j be p(2). Let o = j + 157. Solve 0 = -o*h + 12 for h.
4
Let g be (-1)/(6/15)*(-12)/15. Solve 5*v - g = 4*v for v.
2
Let d = 107 - 99. Solve -8 = -d*b + 12*b for b.
-2
Let x = -10 - -15. Let z = -877 + 877. Solve z = -x*l + 3*l for l.
0
Let g = 16 + -7. Let t(n) = -n**3 - 16*n**2 - 7*n + 122. Let y be t(-15). Solve -y*m = m + g for m.
-3
Suppose r - 4*p - 9 = -7*p, 2*p + 4 = r. Solve 5*k + r = 3*k for k.
-3
Let w be (-6 - 2/(-1))/(-2). Let o(r) be the third derivative of -13*r**4/24 - r**3/6 + 6*r**2. Let i be o(-1). Solve w*d = -d - i for d.
-4
Suppose 0 = -9*f + 287 + 127. Solve f*w = 50*w for w.
0
Let u be 35/14*18/15. Suppose 8*r = 2*r. Solve -d + u - 1 = r for d.
2
Suppose -9*a + 10 = -17. Suppose p - u + 1 = 0, a*p = -p + 2*u + 2. Solve s - p = 1 for s.
3
Suppose 0 = -27*j - 12 + 39. Solve j + 8 = -9*z for z.
-1
Let q = 1175 + -1175. Solve 3*m + 119 - 128 = q for m.
3
Let t(w) = 4*w - 3. Let g be (0 + -2)*(-3)/6. Let u be t(g). Solve u = -0*p - p for p.
-1
Let o be ((-37)/(481/338))/(2/(-1)). Solve -o = 3*g - 4 for g.
-3
Let d be -1 - -4*3/3. Suppose d*t + 52 = -4*f, -t + f - 32 = 2*t. Let b = t - -15. Solve 5*i = b*i for i.
0
Let x = 139 + -71. Let f = x + -67. Solve 9 + f = 5*b for b.
2
Let v(w) = 2*w + 2. Let h be v(5). Let j = 15 - h. Solve 3*b + j = 6*b for b.
1
Let b(h) = -h**2 - 8*h - 7. Let s be b(-7). Let m = 2 + s. Suppose -4 = -3*z + m. Solve -c = -z*c + 3 for c.
3
Let l be 2/(-2 + 108/51). Let j = -15 + l. Suppose -7 = 4*r + 9, -5*y + j*r = -53. Solve -2*a = y - 1 for a.
-4
Suppose -2*f = 3*d - d + 50, -3*f + 114 = -4*d. Let u = -7 - d. Let i = 1 - -2. Solve u = -i*l + 8*l for l.
4
Let o(h) = -18*h - 42. Let p be o(5). Let j = p - -135. Solve -3 = j*y - 0 for y.
-1
Let s be (-4)/(-6)*(-72)/(-2). Let u = s + -19. Suppose 3*a + 81 = u*n, -3*a + 69 = 3*n + 2*n. Solve -n - 5 = 4*j for j.
-5
Suppose -4*p - 3*o = 4, 0 = 5*p - 5*o + 2 - 32. Suppose -2*c + g - 2 = 0, -3*c + p*c + 2 = -2*g. Let m be (-4)/6 + c/(-3). Solve -2 + m = j for j.
-2
Let s = -4 - -43. Let w = s + 1. Suppose 5*c + w = 5*b, 3*b - c - 3*c = 20. Solve d + 3*d + b = 0 for d.
-3
Let r be 6/(-11)*-18 - 2/(-11). Suppose 112*j - r = 110*j. Solve -j*y - 1 = 9 for y.
-2
Let l be ((-75)/(-10))/(24/32). Solve -l = 3*c - 22 for c.
4
Suppose 0 = 371*m - 369*m - 20. Solve 5*i = m - 0 for i.
2
Suppose 0 = -0*v - 2*v - m + 5, -16 = -5*v + m. Solve -v*r - 6 = -6*r for r.
2
Let f be (-7 + 1)*6/(-12). Suppose -2*b + 2 = -r + f*b, -51 = -2*r - b. Solve 3 = 5*u + r for u.
-4
Suppose -7 - 22 = -2*q - 5*o, 4*o - 12 = 0. Let b be ((-4)/(-10) - (-51)/(-15)) + q. Solve d - 2*d = -b for d.
4
Suppose -3*y + 9 = -p, -5*y = 4*p - 4 - 11. Suppose -2*t + t = 5*g - 7, -4*t - 3*g + 11 = 0. Suppose -t*d = -1 - y. Solve 4 - 14 = d*m for m.
-5
Let g = -186 - -199. Suppose 0*s = -4*b + 5*s + 51, 3*s - 3 = 0. Suppose -4*v + g = -3*v - 4*r, 3*r - b = -4*v. Solve 4*o + 1 - v = 0 for o.
1
Suppose 41 = 3*f - 2*o, -20*f + 27 = -19*f - 4*o. Solve 7*n = f*n + 20 for n.
-5
Let q be (-14)/(-6) - 4/(-6). Suppose -5*u = -10*u + 45. Let m(w) = -21*w + 84. Let s be m(4). Solve -q*x + s*x = -u for x.
3
Suppose -27*t = -31*t. Solve -5*z + 0*z - 15 = t for z.
-3
Let a(w) = -8*w + 12. Let x be a(-3). Let p = -36 + x. Solve 5*g - 8*g + 3 = p for g.
1
Suppose -4*c + 28 = -5*a, -c = 2*c - a - 21. Suppose 24 = -3*m + c*m. Suppose 0 = -5*x - o - 0 + m, -3*x + 26 = -5*o. Solve 3 = -x*v - 7 for v.
-5
Suppose 0 = 4*g + 8 + 4. Let h(s) = -s. Let j be h(g). Let n = -57 - -59. Solve -j*v - n*v = 5 for v.
-1
Let w(d) = -13*d - 7. Let v be w( | {
"pile_set_name": "DM Mathematics"
} |
*c**2 + 106*c**2.
c**2
Collect the terms in 3*b**3 + 796231232790 - 796231232790.
3*b**3
Collect the terms in 122716*f - 122716*f + f**3 + 0*f**3.
f**3
Collect the terms in -186*o + 1 + 176*o - 119*o - 4*o**2 - 1.
-4*o**2 - 129*o
Collect the terms in -1 - 18*j + 18*j + 2*j**2 - 3 + 3.
2*j**2 - 1
Collect the terms in -1460313*k**2 + 730162*k**2 + 730159*k**2.
8*k**2
Collect the terms in 860*m - 11*m**2 + 100*m**2 - 860*m.
89*m**2
Collect the terms in i**3 - 4*i**3 - 50527*i + 50527*i.
-3*i**3
Collect the terms in 965*p + 104*p - 1068*p.
p
Collect the terms in -265*q**2 - 164*q**3 + 156*q**3 + 2 - 2 - 232*q**2.
-8*q**3 - 497*q**2
Collect the terms in -16*z**2 + 2*z - 15*z - 11*z.
-16*z**2 - 24*z
Collect the terms in 52*n**3 - 19*n**3 - 101*n**3.
-68*n**3
Collect the terms in 474*t - 9 + 3 + 6.
474*t
Collect the terms in 10*r**3 - 94*r**2 - 124*r**2 + 218*r**2.
10*r**3
Collect the terms in -28 + 5374*s + 4*s**2 - 5374*s.
4*s**2 - 28
Collect the terms in -788*j - 792*j - 794*j - 4 + 2373*j.
-j - 4
Collect the terms in -168214 - 168215 + 336429 + 3*g.
3*g
Collect the terms in 0*a**2 + a**2 - 9744*a + 9533*a.
a**2 - 211*a
Collect the terms in 6 - 1 - 4*z**2 + 47*z**2 + 66*z**2.
109*z**2 + 5
Collect the terms in 274*m**2 - 279*m**2 + 54 - 56.
-5*m**2 - 2
Collect the terms in -61*c - 57*c - 61*c + 299*c + 2*c**2 - 60*c - 63*c.
2*c**2 - 3*c
Collect the terms in -137 - 142 + 55 - 18 + 8*m - 9*m.
-m - 242
Collect the terms in -37 - 15 + 118*v + 52.
118*v
Collect the terms in -20457578*j + 20*j**2 + 20457578*j - 7*j**2.
13*j**2
Collect the terms in 48 - 11*p - 94 + 73 + 21.
-11*p + 48
Collect the terms in -540*j + 1067*j - 525*j.
2*j
Collect the terms in -462*r**3 - 181*r**3 - 283*r**3.
-926*r**3
Collect the terms in 15767*j**2 + 3*j**3 - 15767*j**2.
3*j**3
Collect the terms in 5*r**2 + 37*r**2 + 10*r**2 - 29*r**2 + 49*r**2.
72*r**2
Collect the terms in -50*d - 32880*d**2 + 32878*d**2 + 50*d.
-2*d**2
Collect the terms in 191*h + 177*h + 184*h + 183*h - 719*h.
16*h
Collect the terms in 203508*p**3 + 2*p**2 - 2*p**2 - 203523*p**3.
-15*p**3
Collect the terms in -3*l**3 - 4*l**3 + l + 2*l**3 + 4*l**3.
-l**3 + l
Collect the terms in 49 - 229 + 10*y**2 + 43*y**3 - 10*y**2.
43*y**3 - 180
Collect the terms in -h**2 + 399*h + 0 + 0 + 133*h.
-h**2 + 532*h
Collect the terms in 6315*p**2 - 12*p**3 - 6315*p**2 + 32*p**3 - 4*p**3.
16*p**3
Collect the terms in 0 + 0 - 161*f**2 + 156*f**2.
-5*f**2
Collect the terms in 197*k - 2*k**2 - 162 + 162.
-2*k**2 + 197*k
Collect the terms in 37*y + 1 - 4 - 33*y + 1.
4*y - 2
Collect the terms in -5154*y**2 + 656*y**3 + 5154*y**2 - 654*y**3.
2*y**3
Collect the terms in -2686*n + 5226*n - 4*n**3 - 2540*n.
-4*n**3
Collect the terms in 8725*i - 1723*i + 573*i.
7575*i
Collect the terms in 3564*f**3 - 1 + 1 - 2615*f**3.
949*f**3
Collect the terms in 48 + 41 + 40 - 129 + 292*o.
292*o
Collect the terms in 135*r - 218*r + 91*r.
8*r
Collect the terms in 46*q**2 + 20 - 7 - 48*q**2 - 13.
-2*q**2
Collect the terms in 16*c + 226 + c - 8*c + 2*c**2 - 8*c.
2*c**2 + c + 226
Collect the terms in -15*j**2 - j**3 - 34 + 87 + 39.
-j**3 - 15*j**2 + 92
Collect the terms in 38*z - 22*z + 47*z + 170196 - 170196.
63*z
Collect the terms in 280*k + 287*k - 1147*k + 6*k**2 + 287*k + 293*k.
6*k**2
Collect the terms in 35*p**2 + 21 + 52*p**2 - 21 - 103*p.
87*p**2 - 103*p
Collect the terms in -3 - 37*i - 53*i + 43*i.
-47*i - 3
Collect the terms in 765*z + 8431*z - 668*z.
8528*z
Collect the terms in 3*w - w**2 + 11010 - 11010 + w**2 + 10*w**3.
10*w**3 + 3*w
Collect the terms in 537*v**2 + 1636*v**2 + 353*v**2 - 435*v**2.
2091*v**2
Collect the terms in -20783 + 20783 - 17*o**2.
-17*o**2
Collect the terms in 164 + 2*f**3 + 88 - 252.
2*f**3
Collect the terms in -q**2 + 2*q**2 - 2*q**3 + 4*q**3 + 6*q**2 + 7*q**2.
2*q**3 + 14*q**2
Collect the terms in -424*o + 99*o + 112*o + 108*o + 106*o.
o
Collect the terms in 3*d**3 - 94*d + 42*d + 48*d**3 + 52*d.
51*d**3
Collect the terms in 4*c**2 - 190*c + 320*c - 244*c.
4*c**2 - 114*c
Collect the terms in 26*i**2 + 149*i**3 - 36*i**2 + 17*i**2.
149*i**3 + 7*i**2
Collect the terms in -746*d + 55*d**3 - 57*d**3 + 746*d - 15*d**2.
-2*d**3 - 15*d**2
Collect the terms in -5*t + 4*t - t - 5*t + 15*t**2 - 2*t.
15*t**2 - 9*t
Collect the terms in 833*a**3 + 1418*a**3 + 307*a**3.
2558*a**3
Collect the terms in -7*t - 2*t + 3*t - 9*t - 3*t.
-18*t
Collect the terms in -120 - 51*u + 38 + 9*u + 34 + 46.
-42*u - 2
Collect the terms in -37051 - 6673*r**2 + 37051.
-6673*r**2
Collect the terms in 105186*v - 105186*v + 7*v**2.
7*v**2
Collect the terms in 107*q**3 - 54*q**3 - 57*q**3 - 215*q**2 + 215*q**2.
-4*q**3
Collect the terms in -186*v**2 + 101*v**2 + 57*v**3 + 85*v**2.
57*v**3
Collect the terms in -45*q**2 - 233*q + 461*q + 8*q**2 - 228*q.
-37*q**2
Collect the terms in 2171*d**2 + 6 + 2 - 2166*d**2.
5*d**2 + 8
Collect the terms in 297*o**3 - 896*o**3 + 2 - 2 + 411*o**3.
-188*o**3
Collect the terms in 305*c + 32 - 22 - 305*c + 2*c**3 - 10.
2*c**3
Collect the terms in -7*q**2 + q**2 - 4*q**3 + 8*q**2 + 65.
-4*q**3 + 2*q**2 + 65
Collect the terms in 96*f - 48*f - 13 - 48*f - 3*f**2.
-3*f**2 - 13
Collect the terms in 55*y**3 - 80*y**3 + 24*y**3.
-y**3
Collect the terms in -2 + 16319*d + 2 - 32676*d + 16287*d.
-70*d
Collect the terms in 3877*l**3 + 2*l - 1939*l**3 - 1933*l**3.
5*l**3 + 2*l
Collect the terms in -12*m**2 - 27*m - 23*m - 53*m**2 + 50*m.
-65*m**2
Collect the terms in -319 + 0*z**3 - 9*z**3 - 264 + 583.
-9*z**3
Collect the terms in -23*q + 8*q + 5*q - 1 + 8*q.
-2*q - 1
Collect the terms in -6096 + 12230 - 2*y**2 - 6113.
-2*y**2 + 21
Collect the terms in 2*n**3 - 130745456*n**2 + 130745456*n**2.
2*n**3
Collect the terms in 4 - 35275*q - 4 - 11591*q + q**3.
q**3 - 46866*q
Collect the terms in -1251*r**3 + 3746*r**3 - 1239*r**3 - 1247*r**3.
9*r**3
Collect the terms in p**2 + 168*p**3 - 355*p**3 + 206*p**3.
19*p**3 + p**2
Collect the terms in 12*z**3 + 203967615 - 203967615.
12*z**3
Collect the terms in d - 13*d + 8186*d**3 + 10*d.
8186*d**3 - 2*d
Collect the terms in 3 + 14*t + 44*t - 60*t - 69.
-2*t - 66
Collect the terms in -12*h - 1580605 + 3161209 - 1580604.
-12*h
Collect the terms in 5*o**2 + 83*o - 166*o + 83*o - 14*o**2.
-9*o**2
Collect the terms in 4200 + x + 5*x**2 - 4200.
5*x**2 + x
Collect the terms in 72 - 135 + 700*l**2 - 2*l + 63.
700*l**2 - 2*l
Collect the terms in 162*c - 45*c - 61*c - 59*c.
-3*c
Collect the terms in -n**2 + 8592 - 8592 - 31*n**2.
-32*n**2
Collect the terms in -5*y**2 + 0*y**2 + 98*y**2.
93*y**2
Collect the terms in -64791 - 159*f**2 + 64791.
-159*f**2
Collect the terms in 417*v**2 - 141*v**2 - 139*v**2 + 41*v**3 - 137*v**2 - 46*v**3.
-5*v**3
Collect the terms in 0*q + 80*q - 258*q**3 - 41*q - 39*q.
-258*q**3
Collect the terms in 115 - 467 + 116 + 11*j + 118 + 118.
11*j
Collect the terms in -187*c**2 - 654*c**2 + 18*c**2 - 95*c**2.
-918*c**2
Collect the terms in -1071*l**2 - 5 + 3 - 5 + l.
-1071*l**2 + l - 7
Collect the terms in 3764 - 1878 - 1886 + 2*x**2.
2*x**2
Collect the terms in -1201*d + 2 - 2 + 1199*d.
-2*d
Collect the terms in 219 - 219 + 8593*c.
8593*c
Collect the terms in 1150 - 87*w + 1145 - 3445 + 1150.
-87*w
Collect the terms in -428*p + 167*p + 174*p + 156*p.
69*p
Collect the terms in -1224*d**3 + 2091*d**3 - 877*d**3.
-10*d**3
Collect the terms in 1234*c**2 - 2448*c**2 + 1242*c**2.
28*c**2
Collect the terms in 887 - 500 - 22*p**2 + 707 + 726.
-22*p**2 + 1820
Collect the terms in -50*x**3 + 38*x**3 + 18*x**3.
6*x**3
Collect the terms in -32*m + 32*m + 738*m**3 - 3.
738*m**3 - 3
Collect the terms in 346*c**3 + 597*c**3 - 936*c**3.
7*c**3
Collect the terms in 114*p**2 - 65*p**2 - 38*p**2.
11*p**2
Collect the terms in -422*d - 40 + 244*d - 580*d - 14*d.
-772*d - 40
Collect the terms in -27*o**2 + 29*o**2 + 21*o**2 - 27*o**2.
-4*o**2
Collect the terms in 354 - 116 - 115 - 123 - 100*w**2.
-100*w**2
Collect the terms in 57*q**3 - 132*q**3 - 1 + 4.
-75*q**3 + 3
Collect the terms in -3*p - 10*p**2 + 165 - 399 + 8*p**2.
-2*p**2 - 3*p - 234
Collect the terms in 962*i + 75*i**2 - 962*i.
75*i**2
Collect the terms in 119 + 115 - 234 + 11*u**2 - 2*u**2.
9*u**2
Collect the terms in 2216*m**3 + 1143*m**3 + 110*m**3.
3469*m**3
Collect the terms in 4*i**2 - 15*i + 108 + 15*i - 362 - 208.
4*i**2 - 462
Co | {
"pile_set_name": "DM Mathematics"
} |
rt z.
-36*z**2
What is the second derivative of -47*o**2 + o + o + 6*o - 37 + 35 wrt o?
-94
Let w(k) be the second derivative of -3*k + 1/3*k**3 + 0*k**2 + 0*k**4 + 0 - 1/10*k**5. Find the second derivative of w(m) wrt m.
-12*m
Suppose 2*f = 4*o - 0*f, -6 = -4*o - f. Suppose w = 4*w + 4*d + o, 30 = 2*w - 5*d. Find the second derivative of -j**2 - 4*j + w*j + 2*j**2 wrt j.
2
Let q(a) be the second derivative of 7*a**6/10 + a**4/6 + 35*a. What is the third derivative of q(o) wrt o?
504*o
Let v(d) be the third derivative of -5*d**9/504 + d**5/60 - 3*d**2. Find the third derivative of v(j) wrt j.
-600*j**3
Let r = 0 - 0. Let y(z) be the first derivative of 0*z**6 + 0*z**4 + 0*z - 2 - 2/7*z**7 + 0*z**5 + r*z**2 + 2/3*z**3. Find the third derivative of y(l) wrt l.
-240*l**3
Let r(c) be the third derivative of -c**7/210 + 3*c**6/40 - 55*c**4/24 - c**2. What is the second derivative of r(y) wrt y?
-12*y**2 + 54*y
Suppose 4*t - u - 3*u - 44 = 0, 5*u = -5*t + 75. Find the third derivative of -y**2 + 3*y**2 + 9*y**3 - t*y**3 wrt y.
-24
Let f(d) be the first derivative of 31*d**2/2 + 24*d + 8. Differentiate f(x) with respect to x.
31
Let k(q) = 20*q**3 - 59*q**2 - 11*q + 145. Let g(s) = -4*s**3 + 12*s**2 + 2*s - 29. Let a(i) = 11*g(i) + 2*k(i). What is the derivative of a(p) wrt p?
-12*p**2 + 28*p
Let p be (-7)/(105/(-24))*5. Let s(i) = -29*i**2 - 18*i - 8. Let y(d) = 10*d**2 + 6*d + 3. Let x(z) = p*y(z) + 3*s(z). Find the second derivative of x(m) wrt m.
-14
What is the derivative of -61*k**3 + 106*k**3 - 65*k**3 + 4 wrt k?
-60*k**2
Let m(r) = -r**2 + 7*r - 2. Let w be m(7). Let f be w/(-3)*9/2. Find the third derivative of 11*p**3 + 2*p**4 - 11*p**f + 3*p**2 wrt p.
48*p
Let s(o) be the second derivative of -o**6/5 - 19*o**2/2 + 15*o. Differentiate s(a) wrt a.
-24*a**3
Let g(w) be the first derivative of -w**7/168 + w**4/4 + 5*w**3/3 + 1. Let l(f) be the third derivative of g(f). Find the first derivative of l(i) wrt i.
-15*i**2
Let o(q) = -24*q**2 + 26*q - 7. Let p(h) = -16*h**2 + 17*h - 5. Let m(c) = -5*o(c) + 7*p(c). What is the second derivative of m(z) wrt z?
16
Let l(c) be the first derivative of -c**6/40 + c**5/60 + 3*c**2/2 - 2. Let w(o) be the second derivative of l(o). What is the third derivative of w(i) wrt i?
-18
Suppose -3*m = 4*l - 4, 0 = 3*m - 4*l + 4. Suppose -45 = -4*q + 5*k, -3*k - 9 - 6 = m. Find the second derivative of -2*f**q - 2*f + 4*f**5 + 3*f + 3*f wrt f.
40*f**3
Let x(q) be the first derivative of -4*q**6/3 + 5*q**3/3 + 3. What is the third derivative of x(c) wrt c?
-480*c**2
Let g(z) be the first derivative of -z**6/10 + z**4/6 + 4*z - 1. Let f(v) be the first derivative of g(v). What is the third derivative of f(d) wrt d?
-72*d
Suppose 2*a - 5*b + 12 = 0, 0*b + 4*b + 4 = 5*a. Suppose r - a = -0. Find the second derivative of -3*t**3 + t**r + 3*t**3 + 3*t + 0*t**3 wrt t.
12*t**2
Let o(z) be the second derivative of z**3/6 - 7*z**2/2 + 7*z. Differentiate o(j) wrt j.
1
Let x be (-1)/(-4)*-2*0. Find the second derivative of x*n + 3*n - 5*n + 4*n**2 + 0*n wrt n.
8
Let z(p) = -p**2 - p - 1. Let b(x) = -12*x**2 + 4*x - 35. Let r(c) = -b(c) - 3*z(c). What is the first derivative of r(f) wrt f?
30*f - 1
Let a(y) = -y**2 - 10*y - 8. Let v be a(-9). Let k = v + 0. Differentiate 4 + k - 2 + z - 1 wrt z.
1
Let s(b) be the third derivative of b**6/8 + 11*b**5/60 - 9*b**2. Find the third derivative of s(q) wrt q.
90
Let f(j) be the second derivative of -3*j**4/4 + 8*j**3/3 - 8*j. Find the second derivative of f(z) wrt z.
-18
Let m(l) be the first derivative of -3 + 0*l**2 + 4*l - 3/4*l**4 + 0*l**3. What is the derivative of m(f) wrt f?
-9*f**2
Let w(j) be the first derivative of 8*j**7/7 + 28*j**3/3 + 5. Find the third derivative of w(x) wrt x.
960*x**3
What is the first derivative of -64*i + 27 - 20*i**2 + 64*i wrt i?
-40*i
Let t(k) = -k**3 - 5*k**2 + 5*k - 5. Let j be t(-6). What is the second derivative of -1 + 8*u + 8*u**4 + j wrt u?
96*u**2
Let j(h) = -h + 7. Let g be j(4). Let w = 10 - 6. What is the derivative of -2 + 2*t**4 - g*t**w + 3 wrt t?
-4*t**3
Let o(n) = n**2 - 15*n + 26. Let z be o(13). Let d(i) be the second derivative of -1/12*i**4 + 2*i - i**2 + 0 + z*i**3. What is the derivative of d(s) wrt s?
-2*s
Find the second derivative of 62 - 6*i**2 - 62 - 3*i + 0*i wrt i.
-12
Let q(t) be the second derivative of 19*t**6/30 + 8*t**3/3 - 2*t + 9. Find the second derivative of q(f) wrt f.
228*f**2
Let m(u) be the third derivative of 13*u**4/24 - u**3/2 + 5*u**2. Find the first derivative of m(f) wrt f.
13
Let l(u) be the second derivative of 11*u**6/15 + 5*u**4/12 - u. What is the third derivative of l(p) wrt p?
528*p
Suppose -2*d - 9 = -5*d. Suppose -11 = -3*f + z, 0*z + 15 = 3*f - 3*z. Find the first derivative of 2*n**3 - f*n**2 + 2 + d*n**2 wrt n.
6*n**2
Let j(i) be the second derivative of 11*i**5/20 - 5*i**2/2 - 10*i. Differentiate j(r) with respect to r.
33*r**2
Let b(m) be the third derivative of m**9/378 + m**6/40 + 7*m**3/6 + m**2. Let q(v) be the first derivative of b(v). Find the third derivative of q(o) wrt o.
480*o**2
Let k(g) = -6*g**2 + 21*g + 15. Let j(t) = t**2 - t - 1. Let l(v) = 15*j(v) + k(v). Find the second derivative of l(n) wrt n.
18
Let w(z) be the first derivative of -z**7/280 + z**4/8 + z**3/3 + 3. Let p(o) be the third derivative of w(o). Differentiate p(i) with respect to i.
-9*i**2
Suppose -5*x + 3 = -5*l + 18, 0 = 5*x - 3*l + 5. Differentiate -2*q**2 + 3 - x*q**2 + 0 - 5 wrt q.
-8*q
What is the second derivative of -3*x - x**3 - 3*x**3 + 2*x**3 + 9*x**3 wrt x?
42*x
What is the derivative of 3 + 2 + 19*f**4 - 19 - 8 wrt f?
76*f**3
Let i be 0/7 + ((-2)/(-1) - 0). Let x = 1 - -1. Find the third derivative of -i*o**5 + o**5 - o**x + o**2 - o**2 wrt o.
-60*o**2
Find the third derivative of 288 - 10*w**4 - 288 + 47*w**2 wrt w.
-240*w
Let m(f) be the first derivative of -3*f**4/2 - 2*f - 5. Find the first derivative of m(l) wrt l.
-18*l**2
Let v(j) = 2*j. Let w be v(1). What is the third derivative of 12*b**w - 13*b**2 + 9*b**2 - 7*b**5 wrt b?
-420*b**2
Find the second derivative of -431*v + 445*v - 3 + 3 + 26*v**4 wrt v.
312*v**2
Let a(h) be the first derivative of 0*h**2 + 2*h + 2*h**2 - 4 - 2*h - 3*h. Differentiate a(v) wrt v.
4
What is the second derivative of -20*x**2 + 70*x**2 - 18*x**2 + 14*x - 10*x**2 wrt x?
44
What is the second derivative of -15 + 16*o**2 + o + 11 - 9 wrt o?
32
Let o(i) be the first derivative of 5*i**5 + 17*i**2/2 + 2*i - 33. Find the second derivative of o(a) wrt a.
300*a**2
Let k = -5 - -4. Let u = 0 - k. What is the second derivative of h**3 + 2 - u + h - 1 wrt h?
6*h
Let h(x) be the second derivative of 7*x**4/12 + 5*x**2 - x. Differentiate h(p) wrt p.
14*p
Let h(f) = 11*f**4 - 3*f**2 - 3*f - 3. Let z(o) = -54*o**4 + 14*o**2 + 14*o + 16. Let t(a) = -14*h(a) - 3*z(a). Differentiate t(c) with respect to c.
32*c**3
Let s(m) = -m**2 + 7*m + 3. Let v be s(7). What is the second derivative of 4*c**v - c - 2*c**3 + 3*c + c wrt c?
12*c
Let z = -23/3 + 47/6. Let q(j) be the third derivative of z*j**3 + 1/60*j**5 + 0*j + 0 + 0*j**4 - j**2. Differentiate q(l) with respect to l.
2*l
What is the first derivative of -3*m - 2*m**2 - 4 + 3*m + m**2 wrt m?
-2*m
Suppose -c = -4*g + 10, -4*g - 3 = -2*c - 15. What is the third derivative of 4*k**3 + 3*k**5 - 12*k**2 - 4*k**3 + 10*k**g wrt k?
180*k**2
Let d(m) be the first derivative of -m**6/90 - m**5/120 + m**3/3 + 1. Let j(a) be the third derivative of d(a). What is the second derivative of j(p) wrt p?
-8
Suppose d + 4*m - m + 1 = 0, -2*m = 4. Find the second derivative of 3*x**5 - 2*x - 6*x**d + 0*x wrt x.
-60*x**3
Let n(y) be the second derivative of -y**5/30 - y**4/12 + y**2 + 3*y. Let x(m) be the first derivative of n(m). Find the second derivative of x(a) wrt a.
-4
Let z = -62 + 64. Let p(y) be the first derivative of 0*y + 1/2*y**2 - 1/3*y**6 + 0*y**3 + 0*y**4 + 0*y**5 + z. Find the second derivative of p(i) wrt i.
-40*i**3
Suppose -b - 4*b - 2*o = -17, 3*o = 3*b - 27. Find the third derivative of b*l - 2*l**2 - 5*l + 2*l**6 wrt l.
240*l**3
Let o(w) be the second derivative of w**5/10 - w**2 + 2*w. Differentiate o(p) with respect to p.
6*p**2
Let i(w) be the second derivative of -w**10/7560 + w**6/144 + 5*w**4/12 + w. Let q(s) be t | {
"pile_set_name": "DM Mathematics"
} |
ten thousands digit of 92239?
9
What is the hundreds digit of 4398?
3
What is the units digit of 67636?
6
What is the ten thousands digit of 25286?
2
What is the tens digit of 2577?
7
What is the tens digit of 784?
8
What is the hundreds digit of 2432?
4
What is the hundreds digit of 24072?
0
What is the units digit of 3145?
5
What is the thousands digit of 42832?
2
What is the tens digit of 3215?
1
What is the hundreds digit of 1660?
6
What is the hundreds digit of 13951?
9
What is the ten thousands digit of 44904?
4
What is the hundreds digit of 2424?
4
What is the thousands digit of 1670?
1
What is the hundreds digit of 78758?
7
What is the hundreds digit of 112656?
6
What is the thousands digit of 12630?
2
What is the thousands digit of 3884?
3
What is the tens digit of 1940?
4
What is the tens digit of 774?
7
What is the units digit of 32091?
1
What is the units digit of 386?
6
What is the tens digit of 22214?
1
What is the tens digit of 2178?
7
What is the tens digit of 5172?
7
What is the units digit of 53061?
1
What is the units digit of 4037?
7
What is the units digit of 32978?
8
What is the units digit of 4506?
6
What is the thousands digit of 3110?
3
What is the hundreds digit of 2952?
9
What is the ten thousands digit of 15428?
1
What is the tens digit of 4530?
3
What is the thousands digit of 6348?
6
What is the units digit of 57898?
8
What is the hundreds digit of 3152?
1
What is the units digit of 14742?
2
What is the units digit of 2142?
2
What is the units digit of 974?
4
What is the hundreds digit of 207?
2
What is the units digit of 1602?
2
What is the tens digit of 2058?
5
What is the units digit of 2136?
6
What is the units digit of 299?
9
What is the tens digit of 567?
6
What is the units digit of 1126?
6
What is the tens digit of 2014?
1
What is the hundreds digit of 3260?
2
What is the hundreds digit of 174?
1
What is the tens digit of 2661?
6
What is the thousands digit of 124241?
4
What is the thousands digit of 103205?
3
What is the units digit of 240?
0
What is the units digit of 37116?
6
What is the units digit of 48223?
3
What is the thousands digit of 5403?
5
What is the thousands digit of 6791?
6
What is the hundreds digit of 7310?
3
What is the units digit of 24987?
7
What is the hundreds digit of 6448?
4
What is the units digit of 39057?
7
What is the hundreds digit of 6252?
2
What is the thousands digit of 2119?
2
What is the tens digit of 4651?
5
What is the ten thousands digit of 43840?
4
What is the tens digit of 10698?
9
What is the tens digit of 3449?
4
What is the thousands digit of 1845?
1
What is the units digit of 134166?
6
What is the units digit of 3786?
6
What is the tens digit of 936?
3
What is the thousands digit of 4143?
4
What is the thousands digit of 1285?
1
What is the units digit of 4032?
2
What is the hundreds digit of 4616?
6
What is the units digit of 22030?
0
What is the thousands digit of 4317?
4
What is the thousands digit of 14145?
4
What is the thousands digit of 40514?
0
What is the units digit of 736?
6
What is the units digit of 1961?
1
What is the hundreds digit of 911?
9
What is the hundreds digit of 7128?
1
What is the units digit of 2920?
0
What is the hundreds digit of 492?
4
What is the tens digit of 48034?
3
What is the tens digit of 41331?
3
What is the hundreds digit of 1487?
4
What is the tens digit of 11900?
0
What is the units digit of 117?
7
What is the units digit of 727?
7
What is the hundreds digit of 895?
8
What is the tens digit of 10344?
4
What is the thousands digit of 4201?
4
What is the tens digit of 20426?
2
What is the ten thousands digit of 20399?
2
What is the hundreds digit of 696?
6
What is the hundreds digit of 5654?
6
What is the ten thousands digit of 10127?
1
What is the units digit of 30799?
9
What is the units digit of 16933?
3
What is the hundreds digit of 227?
2
What is the units digit of 23736?
6
What is the hundreds digit of 393?
3
What is the units digit of 405?
5
What is the tens digit of 131373?
7
What is the thousands digit of 8284?
8
What is the tens digit of 30452?
5
What is the thousands digit of 2599?
2
What is the tens digit of 973?
7
What is the tens digit of 1367?
6
What is the tens digit of 17259?
5
What is the tens digit of 544?
4
What is the hundreds digit of 12304?
3
What is the hundreds digit of 43170?
1
What is the thousands digit of 15583?
5
What is the tens digit of 916?
1
What is the tens digit of 129850?
5
What is the units digit of 8109?
9
What is the units digit of 43576?
6
What is the tens digit of 5011?
1
What is the thousands digit of 78441?
8
What is the hundreds digit of 2013?
0
What is the tens digit of 6164?
6
What is the hundreds digit of 770?
7
What is the hundreds digit of 5635?
6
What is the hundreds digit of 109?
1
What is the ten thousands digit of 38814?
3
What is the tens digit of 784?
8
What is the ten thousands digit of 83681?
8
What is the tens digit of 235?
3
What is the thousands digit of 9011?
9
What is the units digit of 33372?
2
What is the ten thousands digit of 32622?
3
What is the hundreds digit of 4983?
9
What is the units digit of 11107?
7
What is the units digit of 1606?
6
What is the tens digit of 108299?
9
What is the tens digit of 7501?
0
What is the tens digit of 521?
2
What is the tens digit of 87383?
8
What is the units digit of 11280?
0
What is the tens digit of 2841?
4
What is the units digit of 1403?
3
What is the tens digit of 1273?
7
What is the tens digit of 5019?
1
What is the units digit of 3275?
5
What is the tens digit of 39341?
4
What is the tens digit of 693?
9
What is the units digit of 927?
7
What is the hundreds digit of 158?
1
What is the units digit of 70604?
4
What is the tens digit of 46675?
7
What is the thousands digit of 11493?
1
What is the tens digit of 47848?
4
What is the thousands digit of 26035?
6
What is the thousands digit of 4195?
4
What is the hundreds digit of 1342?
3
What is the hundreds digit of 73956?
9
What is the thousands digit of 1938?
1
What is the hundreds digit of 4509?
5
What is the units digit of 17281?
1
What is the units digit of 78243?
3
What is the ten thousands digit of 10791?
1
What is the units digit of 28788?
8
What is the ten thousands digit of 15813?
1
What is the units digit of 4613?
3
What is the units digit of 234?
4
What is the tens digit of 2234?
3
What is the thousands digit of 5013?
5
What is the thousands digit of 1082?
1
What is the thousands digit of 1419?
1
What is the thousands digit of 7777?
7
What is the hundreds digit of 3420?
4
What is the ten thousands digit of 51865?
5
What is the units digit of 2082?
2
What is the hundreds digit of 9106?
1
What is the tens digit of 10751?
5
What is the hundreds digit of 306?
3
What is the ten thousands digit of 16741?
1
What is the units digit of 16277?
7
What is the units digit of 7823?
3
What is the tens digit of 2775?
7
What is the units digit of 39343?
3
What is the units digit of 413?
3
What is the thousands digit of 3634?
3
What is the units digit of 5195?
5
What is the tens digit of 1109?
0
What is the tens digit of 1588?
8
What is the tens digit of 2781?
8
What is the thousands digit of 15992?
5
What is the units digit of 76593?
3
What is the thousands digit of 3657?
3
What is the thousands digit of 7882?
7
What is the thousands digit of 4153?
4
What is the ten thousands digit of 32101?
3
What is the hundreds digit of 7308?
3
What is the units digit of 70924?
4
What is the hundreds digit of 4422?
4
What is the units digit of 7109?
9
What is the tens digit of 470?
7
What is the ten thousands digit of 15778?
1
What is the tens digit of 703?
0
What is the hundreds digit of 16657?
6
What is the thousands digit of 21017?
1
What is the ten thousands digit of 40717?
4
What is the tens digit of 8158?
5
What is the units digit of 1381?
1
What is the units digit of 39397?
7
What is the tens digit of 3044?
4
What is the ten thousands digit of 10287?
1
What is the thousands digit of 4658?
4
What is the tens digit of 89?
8
What is the hundreds digit of 209?
2
What is the hundred thousands digit of 149325?
1
What is the thousands digit of 103041?
3
What is the tens digit of 177738?
3
What is the units digit of 7955?
5
What is the hundreds digit of 769?
7
What is the ten thousands | {
"pile_set_name": "DM Mathematics"
} |
**4 in the form h*j**3 + i + l*j**2 + u*j + r*j**4 and give h.
3
Rearrange (1 - 5 + 3)*(-19 + 7 - 4*i + 7 - 2*i**4) to the form n + b*i**2 + c*i**3 + j*i + v*i**4 and give n.
5
Rearrange (3*n**2 - 2*n**4 - 3*n**2)*(178 + 6 + 96) to b*n + p + r*n**4 + i*n**3 + y*n**2 and give r.
-560
Rearrange (-16 + 60 - 9)*(-3*s**4 + 6*s**2 - s**4 + 11*s**4) to d*s**3 + h*s**2 + l*s + m*s**4 + j and give h.
210
Rearrange 2*w**3 + 0*w**3 - 10*w**3 + (-3*w**3 - 4*w**3 + 3*w**3)*(5 - 11 + 17)*(2 - 3 + 3) to the form v*w + s + p*w**3 + r*w**2 and give p.
-96
Rearrange 350*u**2 - 830*u**2 + u**2 - 771*u**2 - 603*u**2 to the form w + x*u + s*u**2 and give s.
-1853
Rearrange -1161 + 373*l + 583 + 578 to u*l + b and give u.
373
Rearrange -4*k**3 + 238*k - 258*k + 3*k**3 - k**2 to the form o*k**2 + x*k**3 + g + b*k and give b.
-20
Express -10 - 1 + 28*s**2 - 4 + 4 as y*s + j*s**2 + u and give u.
-11
Rearrange -5 - 170*s - 44*s + 70*s to the form q + f*s and give f.
-144
Rearrange 1 + 737*l**3 - l**2 - 654*l**3 + l**2 to the form y + n*l + b*l**3 + j*l**2 and give y.
1
Rearrange -937*c**2 + 45 - 21 - 24 - 3*c**2 to g*c**2 + u + i*c and give g.
-940
Rearrange 677*u**2 + 133*u**2 - 42*u**2 to f + m*u + c*u**2 and give c.
768
Rearrange 15*j - 2*j**2 - 87*j - 136*j - 3*j to m*j + w + a*j**2 and give m.
-211
Rearrange -10 - r**3 + 12 - 3*r + 0*r**3 + 10 + 10 to the form t*r**3 + a*r + m*r**2 + l and give l.
22
Express 24*w - 11 + 13 - 27*w - 3*w**4 - 18*w + w**4 in the form g + z*w**3 + l*w**4 + p*w + k*w**2 and give l.
-2
Rearrange (-18*n**2 - 11*n**2 - 23*n**2)*(3*n + 16*n + n) to y*n**3 + z*n + m + s*n**2 and give y.
-1040
Express 9 - 12*k + 5*k + 5*k + (3 - 6 + 2)*(-3 - 2*k + 3) + k + 2*k - 4*k + 10*k + 6*k - 6*k + 0*k - 6*k + 4*k as t*k + b and give t.
7
Rearrange (a - 3*a + 3*a)*(-15646 - 12*a**3 + 15646 + (2*a**2 - 3*a**2 + 3*a**2)*(-2*a + a - a)) to l*a + x*a**4 + n + t*a**3 + r*a**2 and give x.
-16
Rearrange (-4 + b**2 + 4)*(5*b - 5*b - 2*b)*(-27 + 99 + 13) + 2*b + b**3 - 2*b to q*b + o*b**3 + x*b**2 + w and give o.
-169
Rearrange 7*g**2 + 0*g + 5*g + 4*g**3 - 6*g**3 - 5*g**2 to l*g + m + z*g**2 + s*g**3 and give z.
2
Express 196*z - 65*z**3 + 62*z**3 + 9 - 179*z as g*z**3 + q*z + j*z**2 + p and give g.
-3
Express -19 + 9*c + 10 + 7 + 12 in the form r*c + l and give r.
9
Express -7*v - 3 + 9*v + 294*v**3 - 292*v**3 as g + w*v**2 + l*v + j*v**3 and give g.
-3
Express (0 - 2*k + 0 + (2 - 2 + k)*(6 - 2 - 3))*(-1338*k - 228*k - 753*k) in the form j + f*k + o*k**2 and give o.
2319
Rearrange (-2 + 1 + 3)*(-2*w + 0*w + 3*w) + (10 - 3 - 8)*(-3 - 1 + 2)*(1 - 1 - 2*w)*((-1 + 4 - 1)*(-1 - 2 + 1) - 4 + 2 + 3) to the form k + z*w and give z.
14
Rearrange (-3*f + 3*f + 6*f)*(-2 + 6 - 3) + (310*f + 0 - 308*f + 8)*(-1 - 1 + 1) to the form u*f + m and give u.
4
Express -4 + 2 + 17*p + 5 + 0 in the form o + j*p and give j.
17
Rearrange 18*r + 336*r + 11*r + 5 - 4 to i*r + k and give i.
365
Express -40*r + 36*r + 95*r + 82*r as u*r + t and give u.
173
Rearrange 2*o**4 - 19 + 32 + o**2 - 9 to the form q*o**3 + i*o**2 + l*o**4 + x + j*o and give x.
4
Rearrange -p**3 + 35*p**4 - 9*p**2 + 13*p**2 - 31*p**4 - 1 + 5 to w + u*p + d*p**3 + l*p**4 + o*p**2 and give o.
4
Express (6*h**2 - h**2 - 3*h**2 + (-10*h - 33 + 33)*(-h + 4*h - 4*h))*(-2*h + 4*h + h)*(-3 + 3 - 2) as q*h**2 + i*h**3 + f + p*h and give i.
-72
Express 289*f**2 + 498*f - 498*f as i*f**2 + a + m*f and give i.
289
Express 9 + 6*b + 6*b**2 - 8*b**2 - 14*b - 4 + 3*b**3 as l*b**3 + o*b**2 + m*b + v and give m.
-8
Express (4*k**3 + 4 - 10*k**3 + 5*k**3)*(-k - k + 5*k) as w + l*k + x*k**3 + v*k**2 + s*k**4 and give s.
-3
Express -19 - 20 - 11 + 50 - 16*c + 10*c**2 as t + r*c**2 + k*c and give r.
10
Express (7*d**3 + 5*d**3 - 14*d**3 - 1)*(-99*d + 14 - 3 - 11) as o + h*d**3 + n*d**2 + x*d + m*d**4 and give h.
0
Express -4*s**2 + 14*s**3 - 14*s**3 - 2*s**4 + 6*s**2 - 5*s + 3*s**4 + 3 as q*s**3 + p + l*s**4 + t*s + i*s**2 and give i.
2
Rearrange 8*f + 9*f**2 - 4*f + 133*f**3 - 132*f**3 to n*f**3 + p*f + k + d*f**2 and give p.
4
Express (-35*t + 37*t + 37*t)*(-9*t + 18*t + 2 - 6*t) in the form p*t**2 + x + q*t and give q.
78
Express -496 + f + 214 + 233 in the form h + b*f and give h.
-49
Express -298*q**2 + 58*q**2 - 2 + 52*q**2 - 3*q**2 in the form f*q + i*q**2 + d and give i.
-191
Rearrange t - 7*t - 2 - 6*t**3 - 3*t + 0*t + 18*t to the form h + p*t + q*t**2 + d*t**3 and give h.
-2
Express (-5*n - 3*n + 6*n)*(-33947 - 99*n + 33947) as w*n + k + q*n**2 and give q.
198
Express (-15*x + 2 + 30*x - 2*x)*(-10 + 8 - 4) as r + q*x and give r.
-12
Express 2*b + 12 - 8 + 1477*b**2 + 22 - 1467*b**2 - b**3 as i*b + w + d*b**2 + q*b**3 and give q.
-1
Express (g**2 + 7*g**2 + 5*g**2)*(2 + 1277*g - 1293*g - 3) as s*g**3 + u + t*g**2 + b*g and give s.
-208
Rearrange -2*q**2 - 41 + 38 + 33 to the form b*q + o + c*q**2 and give o.
30
Rearrange 956*k - 64*k**2 - 956*k - k**2 + 0*k**2 + 3*k**2 + (0 - 4 + 3)*(0*k - 2*k - k)*(2*k + k - 4*k) to q*k**2 + y*k + s and give q.
-65
Rearrange 2901*o**2 - 2 - 1758*o**2 - 1559*o**2 to the form t*o + p*o**2 + u and give p.
-416
Express (0*k + 7*k + 3*k)*(7*k + 17*k + 13*k) as c*k**2 + s*k + n and give c.
370
Express (0 + 0 + 2*q)*(-4 + 4 + 2)*(q**2 - 2*q**2 - 2*q**2) + (-q + 29 + 15 + 7)*(-4*q + q**2 + 4*q) in the form b*q + l*q**3 + a + r*q**2 and give l.
-13
Rearrange -11332 + 11332 + 51*m to the form g*m + f and give g.
51
Rearrange (-13*l + 2*l - 3*l)*(-3*l + 0*l - 4*l) + (2*l + 0*l + 0*l)*(5*l - l - 3*l) to the form u*l + h*l**2 + m and give h.
100
Express 232 - 2*g**3 + 577*g**2 - 577*g**2 as u*g**2 + m*g + s + k*g**3 and give k.
-2
Express 4738*g**2 - 2*g + 19 - 2*g**3 - 4738*g**2 - g as p*g**2 + l*g + o*g**3 + r and give r.
19
Rearrange (3*j + j**2 - 3*j)*(0 + 3 + 0)*(2 + 0 - 4)*(-189 - 235 + 346) to m*j**2 + n + i*j and give m.
468
Rearrange -77*w**3 + 3030 + 3032 - 2*w - 6064 to the form f*w + s*w**2 + x + r*w**3 and give x.
-2
Express (11*l**2 - 4*l**2 - 4*l**2 - l**3)*(7*l - 64*l + 148*l)*(1 - 1 - 1) in the form b*l**3 + q + h*l**2 + w*l + k*l**4 and give h.
0
Rearrange 3*t**2 + 7*t**2 + t + 6*t**2 - 21*t**2 + 9 to the form h*t**2 + n + y*t and give h.
-5
Express -20*m**3 + 82*m - 82*m + (1 - 1 - 2*m)*(2*m**2 - 3 + 3) - m**3 - m**3 + 0*m**3 + 2*m**3 - m**3 + 0*m**3 as r*m + x*m**2 + g + y*m**3 and give g.
0
Express -3*m**3 + 3*m**3 - 4*m**3 + (101 - 101 + 25*m)*(m**2 + m**2 + 0*m**2) + 0*m**3 - 4*m**3 + 3*m**3 as n*m**3 + k*m**2 + h*m + r and give n.
45
Rearrange (-131*r**3 - 147*r**3 + 56*r**3)*(r + 4 - 4) - 4*r**3 + 0*r**2 - 2*r**4 + 0*r**2 to the form p*r**2 + f*r**4 + t*r**3 + z*r + j and give f.
-224
Express -294*z + 103*z - 109*z - 15 + 2 + 10 in the form b*z + u and give b.
-300
Rearrange (-2*z - 1 + 1)*(-3*z**2 + z**2 + 12*z - 75*z) to the form x*z**2 + u*z**3 + h*z + l and give x.
126
Express (2*g + 12*g - 8*g)*(-35*g + 3 + 29*g - 1)*(-3 - 1 + 2) in the form p*g + z + d*g**2 and give d.
72
Express -8*z**4 + 1109*z - 1111*z + 5*z**2 + 17*z**3 - 17*z**3 - 13*z**2 in the form v + w*z**2 + s*z**3 + g*z**4 + f*z and give f.
-2
Express (-3133 + 13*v + 278*v**2 - v + 3135)*(-4 + 6 + 0) in the form b*v**2 + i + r*v and give i.
4
Express -19132 + 19126 - 23*h + 5*h as r*h + b and give b.
-6
Express 0*r**2 - r**2 + 2*r**2 - 2*r**3 + 386*r - r**2 as z*r**2 + j + f*r + y*r**3 and give f.
386
Rearrange 17*z - 6*z - 2*z - 53*z**3 - 10*z - 543*z**3 to v*z**2 + m*z + r*z**3 + c and give r.
-596
Express 3*g**3 + 51*g - g**2 - 108*g + 56*g in the form l*g**2 + q*g**3 + t + n*g and give n.
-1
Rearrange (b + 2*b - b)*(-b - b + 0*b) - 20*b + 10*b**2 - 2 + 9*b - 11*b**2 to o + c*b + l*b**2 and give l.
-5
Rearrange ((-2*j - j + 5*j)*(j - 5*j + 2*j) - j**2 + j**2 - j**2 + 2*j**2 - 10*j + 10*j)*(6*j + 0*j - j) to the form x*j**3 + k*j + u + r*j**2 and give x.
-15
Express (4 - k - 4)*(3 - 2 - 3) + 54*k - 55*k + 117*k - 2 + 2*k + 2 - 3*k - 2*k + 2*k in the form t*k + i and give i.
0
Rearrange 29 + x**4 - 16 - 4 - 2*x - 8*x**3 to n*x + f*x**3 + w + a*x**2 + s*x**4 and give f.
-8
Express 0*g - 98*g**3 + 9*g - 65*g**3 - 6*g - 5*g - 2*g**4 as a*g**4 + i + b*g**3 + s*g + t*g**2 and give s.
-2
Express -11*t + 13*t + 18*t + 5*t + (0 - 1 - 1)*(60*t + 158 - 158) in the form c*t + x and give c.
-95
Rearrange 11*g**3 + 2*g - | {
"pile_set_name": "DM Mathematics"
} |
12/3)*4 a multiple of 21?
False
Let k(a) = 6*a - 8. Let r(x) = 5*x - 7. Let v(c) = -2*k(c) + 3*r(c). Does 2 divide v(4)?
False
Let p be 3/(-2)*(1 + -27). Suppose -2*o = -3*b + p, o - 5*o + b - 53 = 0. Let u = 21 + o. Does 9 divide u?
True
Suppose -4*r - 1 = -2*x + 3, -2*r = 5*x + 2. Is 14 a factor of x + (-3)/3 - -27?
False
Suppose -5*d - u = -15, -d + 0*d = -u - 9. Is d a multiple of 3?
False
Let c(t) = 5*t - 3*t - 5 + 4. Let q be c(2). Suppose 20 - 83 = -q*g. Is g a multiple of 7?
True
Suppose b + 2*t - 121 + 25 = 0, 0 = -4*b - 3*t + 384. Is b a multiple of 32?
True
Suppose -5*k + 22 = -2*f, -4*f - f = -k - 14. Is 3 a factor of k?
True
Is (36/(-5))/(104/(-20) + 5) a multiple of 10?
False
Let g = 272 - 124. Is g a multiple of 10?
False
Let f = 5 - 4. Let x = 6 + f. Does 7 divide x?
True
Does 13 divide 14924/286 + 4/(-22)?
True
Suppose 0 = 4*y + 1 - 17. Suppose y*q - 22 + 6 = 0. Does 2 divide q?
True
Let v(y) = y**3 - 7*y**2 - 7*y - 7. Let f be v(8). Let j(h) = 29*h**3 + 2*h**2 - 2*h + 1. Does 10 divide j(f)?
True
Suppose 91 = 8*h - 533. Does 18 divide h?
False
Let l be 2/10 + (-27)/(-15). Let g = 8 - l. Does 6 divide g?
True
Suppose 23 = 2*v + 8*o - 3*o, 0 = 2*o + 2. Is 7 a factor of v?
True
Let y(m) = -m**2 - 8*m - 3. Let j be y(-4). Let l = j - -2. Is 4 a factor of l?
False
Suppose 0 = 3*d - 10 + 58. Is 8 a factor of (-12)/d + (-122)/(-8)?
True
Suppose 2*x = -w - 6, 4*w + 1 = x + 4. Is 7 a factor of (-9)/(x - 0) + 18?
True
Let q = 42 + 1. Is q a multiple of 12?
False
Suppose -4*v + 11 + 5 = 0. Suppose -u + 5*a - 2*a - 7 = 0, -v*u + 3*a - 55 = 0. Let z = u + 26. Does 5 divide z?
True
Let h be 2 - 4/(2 - 4). Suppose 2*p + 48 = y, h*y - 81 = 4*p + 11. Let a = p - -57. Does 12 divide a?
False
Let y = 106 - 153. Let f = y + -28. Let p = f + 105. Is 15 a factor of p?
True
Let n(x) be the third derivative of -1/2*x**4 - 11/60*x**5 + 4/3*x**3 - 1/120*x**6 - 5*x**2 + 0*x + 0. Is n(-10) a multiple of 15?
False
Suppose -4*c = -c + 3. Let j = c - -5. Suppose j*h - 16 = 4. Is h a multiple of 3?
False
Let s(f) = -3*f**2 - 25*f**3 + 24*f**3 + 5*f**2. Let v be s(2). Suppose 3*j - j - 20 = v. Does 5 divide j?
True
Does 13 divide 7 - 5 - -3 - -65?
False
Let k(z) = z**2 + 5*z + 3. Let d be k(-8). Suppose -2*s + 13 = -d. Is 10 a factor of s?
True
Let i(u) = 2*u**2 - 19*u + 1. Is 19 a factor of i(16)?
True
Suppose 0 = 5*u - 5*s - 440, u = -0*u + 2*s + 92. Is 31 a factor of u?
False
Let g(w) = w**3 + 5*w**2 - 5*w + 4. Let b be g(-6). Let o be -1 - (1 - (5 + b)). Does 5 divide (-17)/(-1)*o/1?
False
Let w = 10 - 1. Is 114/w + (-2)/3 a multiple of 12?
True
Suppose -i - t + 15 = 0, 4*i - 24 = 5*t + 27. Is 7 a factor of i?
True
Let d be 1/(-1) + (0 - -1). Suppose 4*r = 68 + 172. Suppose 0 = -2*y - d*y + r. Is 15 a factor of y?
True
Suppose 0*w - w = -3. Suppose 0 = 3*x - 1 - 8, -105 = -4*r - w*x. Suppose -3*m + r = -m. Is 12 a factor of m?
True
Let n = -53 - -107. Is 18 a factor of n?
True
Suppose -4*x + 90 = -3*s - 29, x - 3*s = 41. Is x a multiple of 7?
False
Suppose 0 = 5*q - 1732 - 23. Does 27 divide q?
True
Let x(s) = 3*s + 10 - 4 + 0*s + s**3 + 4*s**2 - s. Let k be x(-4). Does 7 divide 1/(4/(-14))*k?
True
Suppose -q - 18 = 2*q. Let u = 5 + -15. Is (-130)/q - u/(-15) a multiple of 11?
False
Suppose -472 = -2*j - 5*q, -3*j + 4*q + 729 = q. Is j a multiple of 14?
False
Let t be (-599)/(-4) + (-6)/8. Suppose -5*y + 0*y + 3*b + t = 0, 3*b = -4*y + 130. Is 15 a factor of y?
False
Suppose -5*l + 2*x = -0*l + 140, 5*x + 115 = -3*l. Let u = 18 - l. Suppose -5*b + u = -2*b. Is 16 a factor of b?
True
Let y(p) = p**2 - 2*p - 4. Let c be y(6). Suppose -3*a + 0*a - 4*f + c = 0, -2*a + 15 = 3*f. Let w(h) = h + 7. Is w(a) a multiple of 4?
False
Let u be 5*((-212)/5)/(-1). Suppose -4*i - 4*h = -h - u, 0 = -5*i + 2*h + 242. Suppose -d - i = -6*d. Is 5 a factor of d?
True
Suppose 3*j = j - 12. Suppose -3*s - 1 = 2*p - 4*s, -2*p = 4*s - 4. Is 4 a factor of 3 + -5 - p - j?
True
Suppose -2*c - 33 = -5*g, -93 = 5*c - 0*c - 2*g. Is 10 a factor of (c/(-2))/((-6)/(-12))?
False
Let o(w) be the second derivative of -w**4/12 - 3*w**3/2 + w**2/2 + 2*w. Is o(-7) a multiple of 5?
True
Let h = 16 + 226. Is h a multiple of 22?
True
Let o = 90 + -66. Is 12 a factor of o?
True
Suppose 148 = -2*s - 2*w - 54, 2*w = -5*s - 499. Let n = -139 - s. Let r = n - -57. Is r a multiple of 14?
False
Let c = -11 - -11. Suppose c = -7*f + 9*f - 56. Is f a multiple of 5?
False
Suppose -k - 4*k + 75 = 0. Let c = k + -8. Does 4 divide c?
False
Suppose b + 13 = 5*f - 0*b, 10 = 2*f - 2*b. Let t be -2 - (f - 2) - 0. Let k = t - -19. Is 7 a factor of k?
False
Let l(v) = v**3 - 4*v**2 + 3*v + 4. Let a be l(3). Does 13 divide 2 + ((-4)/a - -30)?
False
Suppose 5*g - g + 20 = 0, 0 = 5*l - g - 5. Let u(n) = n**3 - 5*n + 42. Let j(f) = -2*f**3 + 9*f - 83. Let t(z) = -4*j(z) - 7*u(z). Does 19 divide t(l)?
True
Let n be (-2)/(-4) - 2/4. Suppose 5*y = 4*z + 4*y + 58, n = z + 3*y + 21. Is (-1 - -2)/((-3)/z) a multiple of 2?
False
Let a = -19 - -51. Suppose 4*y + 0*y = a. Is y a multiple of 5?
False
Let j = -5 + 2. Let o = 2 + j. Let c = 7 + o. Does 3 divide c?
True
Let w = 10 - 6. Suppose -r + 11 = s - 17, w*s = 0. Does 14 divide r?
True
Suppose 20*c - 15*c - 1020 = 0. Does 12 divide c?
True
Suppose 281 = 3*i + 17. Suppose -3*y + 0*g + i = g, 5*g = 3*y - 100. Does 15 divide y?
True
Does 16 divide 10/(-35) - 1686/(-21)?
True
Is 0 + (0 + 4 - -99) a multiple of 23?
False
Let t be (-6)/(1 + 10/(-4)). Suppose -19 = t*p - 71. Suppose 0 = -3*k - 4 + p. Is k even?
False
Let z(u) = -u**2 - 6*u - 2. Let d be z(-6). Let b be d/(-5) + (-24)/10. Let i = 4 - b. Is i a multiple of 2?
True
Suppose 8*y - 4*y = 5*l - 376, -4*y + 232 = 3*l. Is 19 a factor of l?
True
Let x(r) = 5*r**2 + 5*r + 3. Is 25 a factor of x(-4)?
False
Let w(l) = 11*l + 1. Let y be w(3). Let a = 61 - y. Is 14 a factor of a?
False
Suppose -2*x - x + 124 = -5*b, -4*x + 117 = 3*b. Suppose 3*o + 6 - x = 0. Does 9 divide o?
True
Suppose 0 = -5*v - 25, -2*v = -3*g - v + 380. Does 7 divide g?
False
Let l(w) = -w + 5. Let a be l(8). Let n = a - -10. Suppose 5*k - n*k + 80 = 0. Is 20 a factor of k?
True
Does 26 divide (2 - -79) + (0 - 3)?
True
Let v = -12 - -4. Let u(y) = 5*y + 23. Let n(s) = -2*s - 11. Let k(o) = -7*n(o) - 3*u(o). Is k(v) a multiple of 8?
True
Let n be 2 + (0 + 2 - 0). Suppose -3*w - n*a + 7 = 0, -5*w + 3*a + 60 = -0*w. Is w a multiple of 4?
False
Suppose -2*j + 3 + 1 = 0. Suppose j*l + 4*t + 4 = 0, -2*l + 5*l - 4*t = -16. Let y(m) = -4*m - 6. Is y(l) a multiple of 7?
False
Let l = 194 + -112. Is 22 a factor of l?
False
Suppose 0 = 5*z - 88 - 52. Suppose 87 - z = d. Suppose 4*i - 3*u - d = 68, -98 = -3*i + 5*u. Is i a multiple of 14?
False
Let o(z) = 27*z. Let q be o(4). Suppose -w + 2*y + q = w, 3*y = -2*w + 88. Is w a multiple of 17?
False
Let c(s) = 2*s + 6. Let k be c(-6). Let g = k - -10. Suppose -3*x - 12 = -g*x. Is 10 a factor of x?
False
Suppose -4*a = -7*a + 6. Suppose 0 = a*r - 37 + 5. Is r a multiple of 8?
True
Let j(d) = -4*d - 10. Let v(p) = -8*p - 19. Let g(q) = -5*j(q) + 3*v(q). Is g(-7) a multiple of 21?
True
Let w(p) = -p**2 - 8*p + 2. Let h(i) = -5*i**2 - 39*i + 9. Let s(u) = 2*h(u) - 11*w(u). Let z be s(-10). Does 12 divide (-62)/(-4) + z/(-8)?
False
Suppose -22 = -4*d - 6. Suppose p = -d*u + 129, -4*u = 5*p - 37 - 96. Is u a multiple of 16?
True
Suppose 15 = -3*r - 2*r. Is -2*r/4*12 a multiple of 9?
True
Suppose 196 = y + y. Let o = y + -17. Suppose 4*g = 0, 5*g - o = -2*i - i. Is 27 a factor of i?
True
Does 18 divide 536/10 - (-10)/25?
True
Suppose -19 = -p - 5*s, 0 = -0*p + 3*p - s - 41. Is 7 a factor of p?
True
Let c be (1 + -3)/(-4)*4. Suppose 188 = c*w - w. Suppose -5*u = 6*j - 2*j - w, 5*u = -2*j + 104. Is 21 a factor of j?
True
Does 19 divide 32 - (1 - -3)/(-2)?
False
Let x(n) = n**3 - 11*n**2 + 10*n - 8. Let s be x(10). Let p(v) = -5 - 2*v + 5 + 1. Does 17 divide p(s)?
True
Suppose -w + 2*w - 4 = 0. Let x be (-131)/7 - w/14. Let c = -10 - x. Does 9 divide c?
True
Let f(v) = 3*v**3 + 4*v**2 + 3. Let o be f(-3). Let l = o + 65. Is l a multiple of 9?
False
Does 13 divide (1 - (-204)/4) + 0?
True
Let c(r) = -9*r - 2. Is c(-2) a multiple of 4?
True
Suppose -28*b + 33*b - 1050 = 0. Does 14 divide b?
True
Let t = -5 + 37. Does 16 divide t | {
"pile_set_name": "DM Mathematics"
} |
p: 6}?
1/3876
Three letters picked without replacement from {p: 2, j: 6, w: 2, r: 1, a: 4}. What is prob of sequence wwp?
2/1365
What is prob of sequence ibi when three letters picked without replacement from biibibb?
4/35
Three letters picked without replacement from kjkdh. What is prob of sequence jkh?
1/30
Calculate prob of sequence mav when three letters picked without replacement from {m: 1, v: 1, a: 1}.
1/6
Calculate prob of sequence kye when three letters picked without replacement from {n: 3, k: 1, e: 7, y: 6}.
7/680
Calculate prob of sequence uut when three letters picked without replacement from {t: 4, u: 3}.
4/35
What is prob of sequence ll when two letters picked without replacement from lll?
1
What is prob of sequence yxwn when four letters picked without replacement from {n: 2, x: 1, y: 1, u: 2, w: 2}?
1/420
Two letters picked without replacement from {z: 7, w: 1, s: 1, f: 3, j: 2}. What is prob of sequence fs?
3/182
Two letters picked without replacement from oootoooooooooootoooo. What is prob of sequence oo?
153/190
Calculate prob of sequence rc when two letters picked without replacement from {y: 3, r: 1, o: 1, p: 1, c: 1}.
1/42
What is prob of sequence ap when two letters picked without replacement from gtatpttgpntt?
1/66
What is prob of sequence fr when two letters picked without replacement from {h: 2, f: 4, j: 1, r: 1, i: 2}?
2/45
What is prob of sequence ah when two letters picked without replacement from shzazzzfzszzfyfz?
1/240
Calculate prob of sequence uox when three letters picked without replacement from {x: 3, o: 4, l: 2, u: 2}.
4/165
Two letters picked without replacement from cccccbccbcbccccccccb. What is prob of sequence cb?
16/95
Calculate prob of sequence vxx when three letters picked without replacement from {w: 2, x: 2, v: 1, u: 1, d: 1, e: 1}.
1/168
What is prob of sequence udzd when four letters picked without replacement from kktutbdutdzzkkuz?
3/7280
Calculate prob of sequence zlzc when four letters picked without replacement from {l: 1, c: 3, z: 3}.
3/140
Calculate prob of sequence pp when two letters picked without replacement from epfefehsfpes.
1/66
What is prob of sequence sssy when four letters picked without replacement from {y: 4, h: 2, s: 6}?
4/99
Calculate prob of sequence ag when two letters picked without replacement from {o: 1, g: 2, k: 4, d: 5, a: 2}.
2/91
What is prob of sequence uuc when three letters picked without replacement from rruuruuuuuucuuu?
11/273
Calculate prob of sequence htp when three letters picked without replacement from pitwpvht.
1/84
What is prob of sequence sffr when four letters picked without replacement from tfstssfnssfrs?
3/1430
What is prob of sequence bbg when three letters picked without replacement from {g: 1, b: 2}?
1/3
What is prob of sequence www when three letters picked without replacement from {n: 15, w: 4}?
4/969
What is prob of sequence kjj when three letters picked without replacement from {j: 3, k: 5}?
5/56
Three letters picked without replacement from vsroovorvoro. Give prob of sequence vor.
3/88
Three letters picked without replacement from {b: 1, v: 1, n: 1, m: 1, x: 2, z: 1}. What is prob of sequence xvx?
1/105
Three letters picked without replacement from dwxdovdddwvvd. What is prob of sequence dwo?
1/143
What is prob of sequence lr when two letters picked without replacement from {l: 6, r: 6}?
3/11
What is prob of sequence rb when two letters picked without replacement from qqrbqbg?
1/21
Four letters picked without replacement from {k: 1, o: 2, h: 2, p: 3, l: 10, t: 2}. What is prob of sequence lhtp?
1/969
Calculate prob of sequence iiiu when four letters picked without replacement from uuuuuuuuuiiuumiuu.
13/9520
Three letters picked without replacement from lllrlrflkxlllxllffr. What is prob of sequence rxr?
2/969
Calculate prob of sequence fj when two letters picked without replacement from {f: 11, j: 3, i: 1}.
11/70
What is prob of sequence ijq when three letters picked without replacement from {b: 3, q: 1, j: 1, e: 2, o: 1, i: 5}?
5/1716
Calculate prob of sequence mmm when three letters picked without replacement from fmfmmf.
1/20
Two letters picked without replacement from zszssxhshxssh. Give prob of sequence xz.
1/39
Three letters picked without replacement from {m: 1, l: 7, w: 9, b: 2}. What is prob of sequence mbw?
1/323
Four letters picked without replacement from {w: 1, q: 2, j: 2, l: 1, u: 1, z: 1}. Give prob of sequence wljz.
1/840
Two letters picked without replacement from {g: 1, e: 11}. Give prob of sequence ge.
1/12
Calculate prob of sequence mdxx when four letters picked without replacement from ddxdxxm.
3/140
What is prob of sequence pps when three letters picked without replacement from {p: 2, v: 6, s: 4}?
1/165
What is prob of sequence rzrr when four letters picked without replacement from rzlzrbrlrlrrl?
2/143
What is prob of sequence gmm when three letters picked without replacement from vmgggmmv?
3/56
Calculate prob of sequence zktv when four letters picked without replacement from {t: 3, e: 1, v: 4, k: 9, z: 1}.
1/680
Three letters picked without replacement from kyxkaykpyklk. What is prob of sequence xay?
1/440
Three letters picked without replacement from {e: 3, o: 8}. What is prob of sequence ooe?
28/165
Calculate prob of sequence xkkx when four letters picked without replacement from {k: 2, x: 6}.
1/28
Four letters picked without replacement from nuoooonooo. What is prob of sequence nnoo?
1/60
What is prob of sequence pnww when four letters picked without replacement from wwwwwnwywwwpp?
6/715
Two letters picked without replacement from eeeefffefefeeeee. What is prob of sequence fe?
11/48
Two letters picked without replacement from ulluullllluulqlullul. What is prob of sequence lq?
3/95
Three letters picked without replacement from {i: 1, l: 5, m: 1, z: 3, w: 1}. Give prob of sequence ziw.
1/330
Two letters picked without replacement from {g: 5, p: 13}. What is prob of sequence pp?
26/51
What is prob of sequence by when two letters picked without replacement from bdeoeybbed?
1/30
Calculate prob of sequence vbvd when four letters picked without replacement from dvvvbgddjvgvddvgbgfv.
7/1938
Two letters picked without replacement from {i: 3, m: 2, w: 7}. Give prob of sequence mw.
7/66
Four letters picked without replacement from ffsfsjtswfssssw. Give prob of sequence ftsf.
1/390
Two letters picked without replacement from rrppr. What is prob of sequence pp?
1/10
Three letters picked without replacement from llllllbblblbllllllll. What is prob of sequence blb?
8/285
Calculate prob of sequence ayay when four letters picked without replacement from {a: 4, y: 14}.
91/3060
What is prob of sequence onya when four letters picked without replacement from {a: 1, y: 2, f: 1, c: 1, o: 2, n: 2}?
1/378
What is prob of sequence pd when two letters picked without replacement from {d: 2, p: 2, g: 1, x: 2, w: 1, r: 1}?
1/18
Calculate prob of sequence zzaz when four letters picked without replacement from {z: 3, a: 1, l: 1, r: 4, n: 2, d: 1}.
1/1980
What is prob of sequence pjo when three letters picked without replacement from {j: 1, i: 1, l: 3, r: 1, p: 5, o: 6}?
1/136
Two letters picked without replacement from {k: 2, n: 4, y: 2, r: 2}. Give prob of sequence rk.
2/45
Three letters picked without replacement from {r: 1, d: 7}. What is prob of sequence ddr?
1/8
Calculate prob of sequence xk when two letters picked without replacement from {t: 2, d: 3, k: 3, p: 1, x: 1}.
1/30
Calculate prob of sequence qf when two letters picked without replacement from fffqyyqfql.
2/15
Two letters picked without replacement from {g: 2, m: 1, h: 1, q: 1, x: 3, y: 3}. What is prob of sequence xm?
3/110
Three letters picked without replacement from {a: 9, v: 3, w: 1, h: 5}. What is prob of sequence ahh?
5/136
Calculate prob of sequence tar when three letters picked without replacement from {r: 11, n: 1, a: 1, t: 5, b: 2}.
11/1368
Calculate prob of sequence ngt when three letters picked without replacement from qxgstqn.
1/210
Four letters picked without replacement from oxxxxoyytxsoot. Give prob of sequence tsoy.
2/3003
Two letters picked without replacement from bhceeeychebebeehyh. Give prob of sequence yh.
4/153
Three letters picked without replacement from t | {
"pile_set_name": "DM Mathematics"
} |
1, 0, m?
0.1
Let s = -2818 + 2817.5. Which is the nearest to -15? (a) 0.4 (b) s (c) 2/45
b
Let d be (-12)/28*-4 - 2. Let i = 3859/9760 + 9/1952. What is the closest to i in -0.3, -1/2, d?
d
Let r = 3.5 + 1.5. Let t = r + -4. Let f = -0.96 - -1.06. Which is the nearest to f? (a) -7 (b) 3 (c) t
c
Let r = -3.06 + 3.006. Let s = r - -0.054. Which is the nearest to -0.1? (a) 4 (b) s (c) 2
b
Let d = -1.48 + 0.36. Let y = 3.071 - 1.451. Let k = d + y. What is the nearest to 1 in 0.2, k, -3?
k
Let s = -1614 + 1611. What is the closest to s in 2/7, -2/3, 1/4, 3/7?
-2/3
Let z = 376 - 373. Let t be 142/(-206)*36/28. Let h = 3/103 + t. What is the closest to -1/3 in z, 0.3, h?
h
Let v be (-136)/10*37/(-148) - 3. Suppose 5*j - 5*k = -10, 4*j + 11 = 2*j - 5*k. Which is the closest to j? (a) 3 (b) -0.4 (c) v (d) 0.3
b
Let b = 52 + 16. Let p = b - -12. Let w = -79 + p. What is the closest to w in 4, 0, 1/4?
1/4
Let z = 3959.91 - 3958.91. Let w = 64/3 - 22. Which is the nearest to z? (a) w (b) 0 (c) -5
b
Suppose 119*g + 66 - 5 = -58. What is the nearest to 1/4 in g, 461, 0.5, 0.1?
0.1
Suppose -i - 575 = 4*i. Let w be (-2)/(180/i) - (-6)/(-4). Let x = 127/363 + -2/121. Which is the closest to -1? (a) 3 (b) x (c) w
c
Suppose 2*x - 4 = -2*f, 2*x + f = 4*x + 5. Let w = 783 + -782.9445. Let q = w + -5.0555. Which is the closest to 1? (a) q (b) 0.3 (c) x
b
Let p(v) = -v**2 - 4*v + 63. Let l be p(6). Let m be 15/25 + (-6)/10. Which is the closest to 2/21? (a) -5/3 (b) m (c) l
b
Let g = 37.54 - 43.239. Let h = -0.101 + g. Let r = h - -5.9. Which is the nearest to 0.1? (a) -3 (b) -2/5 (c) r
c
Let u = -292.115 - -292. Let i = -0.425 - -0.64. Let k = u + i. Which is the closest to 1? (a) 1 (b) 0.5 (c) k
a
Let d = -486 - -474. Let h = -11.9 - d. What is the closest to h in -62, 0, -1/2?
0
Let s = 3538/13 - 272. Let u = 8/23125 + -70253902/439375. Let q = -160 - u. Which is the nearest to -1? (a) q (b) s (c) 2/9
a
Let s be (1/(-2))/((-1 + -1)*(8 - 7)). Let y = 0.2 - -0.8. Which is the nearest to y? (a) s (b) -1 (c) -0.1
a
Let r = 336 + -337. Let f = -86 + 81. Which is the closest to -2? (a) r (b) 0.03 (c) 5 (d) f
a
Let y be (-220)/35 - 2/(-7). Let g be (y/(-105))/(1/5). Let d(p) = -p**2 - 2*p + 47. Let z be d(-8). Which is the closest to z? (a) 3 (b) g (c) -0.4
c
Let i(g) = 48*g + 288. Let t be i(-6). Let l = -4.71 - -0.31. Let q = l + 4. Which is the nearest to t? (a) -4 (b) q (c) -5
b
Let j = 402 - 650. Let s = j - -248. What is the nearest to s in 7, -0.06, 0.2?
-0.06
Let d = -82 - -81. Let w = 2.97 + 0.03. Let b = -2.6 + w. What is the closest to -1/5 in -3, b, d?
b
Let x(z) = 3*z**2 - 140*z - 1. Let u be x(0). What is the nearest to -1228 in u, 0.2, -2?
-2
Let o = -1318.8742 - -1319. Let l = -0.0258 + o. What is the nearest to -2 in -4, l, 1/7?
-4
Suppose 2*n = 7*n + 15. Let r = 1/1146 + 571/2292. Let g(l) = l**2 + 9*l + 15. Let i be g(-5). What is the closest to n in 0.5, i, r?
i
Let f = -4239 - -4241. Which is the closest to -55? (a) -0.5 (b) -2 (c) f (d) 0.4
b
Let j = -5 - -58. Let d = 494 - 445. Let p = d - j. Which is the nearest to -3? (a) p (b) 2/7 (c) 0.1
a
Let l = -1437 + 1439. Which is the nearest to -1/3? (a) l (b) 0.6 (c) -16
b
Let y = 138 + -1792/13. Let m = 1.198 + -1.1. Let x = m - -0.002. Which is the nearest to 1? (a) x (b) y (c) -0.5
b
Suppose 5 = 11*h - 10*h. Let p = 5.024 + -5.124. What is the nearest to p in h, -2, 4, 3/7?
3/7
Let z = 0.28 + -0.197. Let y = -0.065 + z. Let u = y + 0.982. Which is the closest to u? (a) -3 (b) 4 (c) -1/3
c
Let s be -4 - ((-32)/7 - (-22)/77). Let p(q) = q**3 + 5*q**2 - 5*q + 7. Let c be 3*(1 - 6/2). Let a be p(c). What is the nearest to a in -0.1, s, 1/2?
1/2
Let q = -3612/13 - -278. Let j = 57/14 - 25/7. What is the nearest to q in -2/13, -4, j?
-2/13
Let s = -11 + 11. Let t be ((-3)/2)/(-1)*(176/3)/(-22). Let h = -129/85 + 36/17. Which is the nearest to s? (a) -3/4 (b) t (c) h
c
Suppose 1489 - 1492 = -3*i. Let t = 6.8 + -6. Let r = t + -4.8. Which is the closest to -2? (a) r (b) i (c) -3
c
Let g be (-5)/(-2)*(-64)/(-80). Let h = -131.6 + 131.9. Which is the nearest to -10? (a) h (b) -0.1 (c) g
b
Let g = 416.3 - 441. Let l = g + 24.62. Which is the closest to 2/3? (a) 0.5 (b) l (c) -0.4
a
Let j(g) = -12*g - 234. Let o be j(-27). What is the closest to -1/3 in 1, -2, o?
1
Let j = -31/45 + 1/45. Let z = -3 + 3.5. Let d = -696967/8 + 87121. What is the nearest to j in d, -1, z?
-1
Let m = -0.296 + 0.088. Let x = m - 0.792. What is the closest to x in -13, -5, -0.2, -1/3?
-1/3
Let h(z) = -208*z - 3. Let l be h(0). Which is the closest to l? (a) -24 (b) -0.1 (c) 3 (d) 2
b
Let r = 0.17521 - 0.00521. Which is the closest to -6? (a) -5 (b) 0 (c) r (d) 5
a
Let x be (24/(-8))/((-60)/(-8)). Let d = 194 - 195. Which is the closest to d? (a) 1/12 (b) 4 (c) x
c
Let i = 4005/11 + -8021/22. What is the closest to -1 in 2/17, 4, i, -5/2?
i
Let r be 6/(-12) + 1*(-1)/(-3). Let w be (-10)/45 - (-40)/18. Suppose 2*j - 6*j = 0. Which is the nearest to r? (a) 3 (b) j (c) w
b
Let t = -3.526 - -4.526. Which is the closest to t? (a) 4 (b) -1.5 (c) -1 (d) 2/79
d
Let n = 111 - 221. Let w = n + 128. Suppose 2*j + j + 2*i = 23, -4*j = 2*i - 28. What is the closest to -2 in w, 2, j?
2
Let o = 52/155 - -2/31. Let r = -3.4 - -3.42. Let d = -0.11 - -1.11. What is the closest to d in r, o, -0.3?
o
Let y = 3049 - 3048. What is the closest to y in 0.2, -0.4, -0.5, -14?
0.2
Let n = 298.1 - 298.6. What is the nearest to -2/5 in 0.3, 0.17, n?
n
Suppose q = -11*i, 0 = -6*q + 3*q + 4*i. Suppose 0 = -j + 3 - 4. Let s be 1 + j - (-10)/25. What is the nearest to q in -0.5, s, -6?
s
Let r = 47.85 - 673.75. Let t = r - -626. Let d be ((-2)/1)/(4/10). Which is the nearest to -1? (a) d (b) t (c) -1/4
c
Let t = 7.4 - 6.66. Let g = t - -1.26. Let c(s) = -s + 5. Let q be c(5). What is the nearest to 3/2 in g, 3/8, q?
g
Let z = 203.06665 - -0.03335. Let o = 203 - z. Suppose 3*w - 3 = 3*s, 4*s + 3*w + 1 = -3. Which is the closest to s? (a) o (b) 0 (c) 0.5
a
Let c = -5.96 - -5.76. Let t = 22.4 + -21.9. What is the nearest to -1 in -0.3, t, c?
-0.3
Suppose -5*s = -3*o + 4, 5*s - 6 = -2*o + 5. Let q = -4882 + 34172/7. Let h(u) = 2*u**3 - 1. Let x be h(-1). Which is the closest to o? (a) -2 (b) x (c) q
c
Let v = 155 + -69.8. Let r = v + -85. Which is the closest to 1? (a) r (b) -0.2 (c) 2
a
Let v = -80 - -78.63. Let z = -1.57 - v. What is the nearest to -4 in -8, z, 2?
z
Let p = 3.801 - 0.789. Let h = -0.012 + p. Let r = -8.1 + 8.2. Which is the nearest to -1? (a) 0 (b) r (c) h
a
Let o = -5343.3 + 5343. Let d be (-32)/(-14) + (0 - 2). Which is the nearest to -1? (a) 0.6 (b) o (c) d
b
Let o = 2 - 6. Let g(h) = -5*h - 50. Let p be g(-11). Let z be 42/245*p*(-3)/(-9). Which is the closest to 0? (a) z (b) o (c) -2/9
c
Let l(z) = -88*z - 15843. Let y be l(-180). What is the closest to -0.1 in -10, -41, y, 1?
1
Let u = -249283/6 + 41547. What is the closest to 3 in -49, u, -5?
u
Let x = -44.829 + -0.171. Which is the closest to 7? (a) -4/9 (b) -2/5 (c) 2 (d) x
c
Let n = 0.07 + 11.13. Let k = n - 11. What is the closest to -1 in k, 6/5, -0.4?
-0.4
Let b = -5314 + 5313.8. What is the nearest to 70 in -1, b, 2/3, -4?
2/3
Let p = -65 + 68.7. Let c = -3.2 + p. Suppose 3*n = -2 - 13. What is the nearest to 0 in n, c, 0.2?
0.2
Let h = 200 - 199.2. Suppose 4*l = -5*t + 200, -6*t - 2*l + 190 = -t. Let r be t/120*(-8)/18. What is the nearest to 0.1 in h, -2/9, r?
r
Let u(k) = -k**3 + 9*k**2 + 21*k + 13. Let w be u(11). Suppose w*v = -12*v + 28. Let g be 7 - 5*v/5. Which is the nearest to 0? (a) -0.3 (b) -2 (c) g
a
Let l = -0.356 + 0.046. Let p = 17.31 + l. Let q = p + -15. What is the nearest to q in 5, -0.3, 3?
3
Let c = -3.971 - -3.971. What is the closest to -54.8 in c, -4, 4, -2?
-4
Let y = -5.6 + 6. Let f = -19446 - -19451. Let j = -0.2 - 0.8. Which is the closest to j? (a) y (b) -3/4 (c) f
b
Suppose -3*x + x = -10. Suppose 9*z - 16 = x*z. Let q be 84/48 - 2/4. Which is the closest to q? (a) -3 (b) -1/7 (c) z
b
Let z = -32573/3 - -10858. Suppose -y = -3 + 5. Which is the closest to -0.7? (a) z (b) 4 (c) -3 (d) y
a
Let m = 23 - 33. Let i = m + 9. Let | {
"pile_set_name": "DM Mathematics"
} |
= -3*t + 4*p - a*p. Is t a multiple of 11?
False
Let w(g) = 5*g + 5. Is w(7) a multiple of 21?
False
Let x be (-4)/14 + (-326)/(-14). Suppose -u + x = -11. Is u a multiple of 12?
False
Suppose 2*n + 3 = n. Let o(k) = -k**3 - 2*k**2 + 2*k + 2. Let r be o(n). Suppose 0 = -j + 2*g + r, 0 = -3*j + 2*g + 2*g + 21. Does 4 divide j?
False
Let z(m) = -m - 4. Let w(a) = -6*a + 2. Let j(v) = -3*v + 1. Let n(y) = -5*j(y) + 2*w(y). Let p be n(-2). Is z(p) a multiple of 3?
True
Let p be (0 - -1)*3 + 2. Suppose -2*o = 4*r, 0 = 3*o - o. Suppose -p*h = 2*m - 150, 4*h = -r*h + 2*m + 102. Is h a multiple of 14?
True
Let v(m) = -m - 8. Is 7 a factor of v(-15)?
True
Let p be (-2)/(-7) + 10/14. Is p + (1 - -323)/4 a multiple of 22?
False
Let v = 7 - 2. Suppose 0 = -v*x + 151 - 26. Is x a multiple of 11?
False
Let g(s) = s**2 + 3*s + 2. Let k be g(-4). Suppose h = -19 - k. Let q = 50 + h. Is 9 a factor of q?
False
Suppose -2*r - 6 = 0, 5*r + 147 = -2*w + 3*w. Does 10 divide w?
False
Suppose t - 27 = -0*t. Let z be (-2)/(-9) - (-102)/t. Suppose -5*v + z*x = -132, -4*v - 2*x + 104 = -6*x. Is 14 a factor of v?
True
Does 12 divide 543/(42/(-12) + 5)?
False
Let i be (1 + 5)*2/(-4). Is 9 a factor of (-1)/(i/48) + 2?
True
Suppose -2*v = 3*v - 155. Is 8 a factor of v?
False
Suppose -622 = -10*y - 62. Is 8 a factor of y?
True
Let c(g) = 32*g + 4. Let v(x) = -8*x - 1. Let s(r) = 2*c(r) + 9*v(r). Let t(f) = -f**2 - 5*f - 6. Let j be t(-4). Is s(j) a multiple of 6?
False
Suppose -q - 2*o = 42, q + 3*o - 197 = 6*q. Let s be (-4)/6*(6 - (-195)/10). Let d = s - q. Is d a multiple of 18?
False
Let l(z) = z**3 - 4*z**2 - 10*z + 7. Let p be l(6). Suppose -v + p - 5 = 0. Is v a multiple of 12?
False
Suppose -8*i = -11*i + 60. Is i a multiple of 7?
False
Suppose -a + 149 = 2*o, 5*a = -3*o + a + 211. Does 7 divide o?
True
Suppose -6*h + 85 = -h + 5*t, -5*t + 49 = 3*h. Does 18 divide h?
True
Let s(j) = j - 2. Let h(m) = -m - 2. Let q be h(-8). Is s(q) a multiple of 4?
True
Let d be 1/((-15)/6 + 3). Let j(o) = -2 - o + 1 - 4*o**d + 5*o**2 - 6. Is j(9) a multiple of 24?
False
Suppose -3*o = -b - 2*b + 6, -b - 4*o + 2 = 0. Suppose b = -n + 10. Does 8 divide n?
True
Suppose 30*h - 30 = 29*h. Is h a multiple of 3?
True
Let d = -2 + 4. Let j = d + 0. Is ((-36)/10)/(j/(-10)) a multiple of 5?
False
Is 6 a factor of ((-44)/10)/(2/(-5))?
False
Let d(k) = -k**3 + 14*k**2 + 15*k + 15. Does 15 divide d(15)?
True
Does 16 divide ((-30)/(-35))/(2/126)?
False
Let b = 12 + -6. Let p be (b - 5) + -1 + 4. Suppose q - 135 = -p*q. Is q a multiple of 20?
False
Let k(q) = 3*q + 9. Let g be k(-6). Let d = g - -14. Suppose 3*n + 94 = d*n. Does 13 divide n?
False
Let p(f) = -8*f + 10 - 7*f - 2*f + 2*f**2 + f. Is p(11) a multiple of 22?
False
Suppose -b = 5*b - 336. Is 14 a factor of b?
True
Let z(b) = 13*b - 4. Is z(5) a multiple of 15?
False
Suppose 0 = -2*j + p - 20, 3*j + 4*p - 20 = 5*j. Let l = j + 15. Suppose -t + l*h = 22, 8 = 2*h - 2. Is 2 a factor of t?
False
Let q(o) = o - 1. Let z = -7 - -10. Let s be q(z). Let p = 15 + s. Is p a multiple of 6?
False
Suppose -a + 0*a + 19 = 0. Is 11 a factor of a?
False
Let n(j) be the third derivative of j**4/12 - 7*j**3/6 - 2*j**2. Let y be n(5). Suppose p + y*h - 5*h - 7 = 0, p + 5*h + 7 = 0. Is 2 a factor of p?
False
Let k be 1212/(-18)*(-3)/2. Suppose 3*f = 184 + k. Suppose 5*c + 5*r = f, -4*r = -1 + 5. Does 10 divide c?
True
Suppose -6 = 2*i - 34. Suppose 0 = 4*q + 3*o - o - i, -2*o - 4 = q. Is 3 a factor of q?
True
Is 9 a factor of (27/(-5))/((-5)/25)?
True
Let x(j) = j**3 + j**2 - j + 8. Let y be 0/(2 + -1 + 2). Does 6 divide x(y)?
False
Suppose g + 2*c = 7 - 3, -c + 16 = 4*g. Suppose 49 = 3*q + g. Is q a multiple of 6?
False
Suppose c - 36 = 27. Suppose 2*q - c = 51. Is 20 a factor of q?
False
Let x(z) = 3*z**2 + 7*z + 5. Let s be (1 + -5)/((-4)/(-4)). Does 5 divide x(s)?
True
Is 19 a factor of (-567)/(-14)*(1 + 1)?
False
Let k be 57/(-3 - -6) - -1. Suppose -3*q + 0*q = -3*t - 36, -q + 5*t + k = 0. Suppose -5*u - 58 = -5*p + 247, 2*u - q = 0. Is 17 a factor of p?
False
Let a(y) = y**3 - 2*y**2 - 3*y + 2. Let h be a(3). Suppose -s + k + 1 = 0, s + 0*s + h = 4*k. Suppose s*o - 31 = -1. Is o a multiple of 5?
True
Let b(k) be the second derivative of k**4/6 + 2*k**3/3 - 3*k**2/2 + 7*k. Is b(-5) a multiple of 16?
False
Let h(s) be the third derivative of s**5/20 - 11*s**4/24 - 7*s**3/6 - 5*s**2. Is 6 a factor of h(5)?
False
Let y be (-2306)/(-6) - 9/27. Let m(k) = k**2 - 7*k + 9. Let u be m(6). Is (u/(-2))/((-18)/y) a multiple of 21?
False
Suppose 3*h = 7*h - 60. Is 15 a factor of h?
True
Let g = 39 + -8. Suppose 4*t - g = 49. Does 10 divide t?
True
Let w(z) = z**3 + z**2 + 29. Does 12 divide w(0)?
False
Suppose t - y + 396 = 4*y, t = y - 380. Is t/(-12) - (-1)/(-3) a multiple of 15?
False
Suppose q = -4*p + 14, -5*p = 13 + 7. Does 15 divide q?
True
Let g(o) = o. Let a(j) = 27*j - 6. Let z(w) = a(w) - 6*g(w). Is 19 a factor of z(3)?
True
Let a = -3 - 0. Let g be (-19)/3 + a/(-9). Does 12 divide 34 - (g/2)/(-1)?
False
Suppose -u - 3 + 11 = -5*g, 4*g + u = -1. Let n = 6 + g. Suppose -4*q + n*q = 14. Is 14 a factor of q?
True
Let c(g) = g**2. Let n be c(3). Suppose -n + 29 = 5*h. Suppose 0 = h*s - 3*s - 24. Is s a multiple of 12?
True
Let o(g) = -4*g + 2. Let h be o(-4). Let r = -6 + h. Does 4 divide r?
True
Let o = 11 + -8. Suppose 5*y - 1 = 5*z + 19, -o*y = -4*z - 15. Does 5 divide 1/(y/((-11)/(-1)))?
False
Suppose 0 = z + 2*m - 67, 2*z = 5*z + 4*m - 197. Let o = 17 + z. Suppose -2*f + 18 + o = 0. Does 24 divide f?
False
Suppose -z - n = n - 27, 4*n - 112 = -4*z. Let m = -42 + z. Let h = m + 33. Does 10 divide h?
True
Let m(k) = -k**2 - 4*k - 6. Let y = 6 + -10. Let g be m(y). Is 6 a factor of (-6)/(-3)*-1*g?
True
Does 3 divide 3 + 14 + -3 + 2?
False
Let u = -5 - -5. Suppose 0 = -4*q - u*q + 20. Is q a multiple of 5?
True
Is ((-15)/(-35) - (-48)/(-63))*-156 a multiple of 4?
True
Suppose -3*k - 91 = x, -5*x = -0*x - 25. Let s be 4/(-6) + 1400/21. Let v = s + k. Is 13 a factor of v?
False
Suppose a - 3 = 0, -2*a - a = -l - 9. Suppose 4*d - 44 = -2*n, 4*n - 3*d - d - 52 = l. Is 14 a factor of n?
False
Suppose 158 - 58 = -5*z. Let q = 28 + z. Suppose 3*r + q - 41 = 0. Is 11 a factor of r?
True
Suppose 0 = -0*h + 2*h. Suppose 2*k - f - 8 = h, -2*f + 5*f = -3*k + 3. Let j = 23 - k. Is 10 a factor of j?
True
Suppose -9 = b + 3. Is 7 a factor of (-12 + 0)/(18/b)?
False
Suppose -n = -j - 77, -2*n - j - 4*j + 161 = 0. Is 34 a factor of n?
False
Let x = 255 - 21. Does 39 divide x?
True
Let z(o) = 3*o**3 - 4*o**2 + 3*o + 3. Let n(l) = l**2 + 8*l + 10. Let b be n(-7). Is 19 a factor of z(b)?
True
Let n(v) = v**2 - 13*v + 13. Does 11 divide n(14)?
False
Suppose -4*d - 324 = -4*g, -4*g + d = -235 - 95. Let r = g - 44. Is 13 a factor of r?
True
Let u = 57 - 19. Does 13 divide u?
False
Suppose 37 = p - t - 46, p - 92 = 4*t. Let y = p + -56. Is 12 a factor of y?
True
Is 271/5 - (-1)/(-5) a multiple of 15?
False
Let t = 5 - 14. Let d(c) = -c + 4. Is d(t) a multiple of 3?
False
Suppose -12 = -3*h, -4*o + h + 524 = 4*h. Is 16 a factor of o?
True
Let n(t) be the second derivative of -t**5/10 + t**4/12 + t**3/3 + t**2 - 16*t. Let f be (-3)/(1/1) - -1. Is n(f) a multiple of 9?
True
Let c be 23/(-3)*(-3 + 0). Let m = -6 + c. Does 17 divide m?
True
Let q(a) = a**2 - 1. Suppose 2*n + 13 = -3*h - 2*h, -35 = -5*n + h. Let j be q(n). Suppose 4*l + 0*l + 3*f = 65, 3*l - j = -5*f. Is l a multiple of 8?
False
Suppose 94 = 2*n - 0*n. Let s = -11 + -15. Let b = n + s. Is 9 a factor of b?
False
Let i(d) = -d**2 - 22*d - 22. Is 16 a factor of i(-18)?
False
Let k = -115 + 323. Does 52 divide k?
True
Let q(c) = 2*c**2 + 13*c + 25. Is q(-11) a multiple of 31?
True
Let p(w) = 3*w - 6. Let j = -8 + 17. Let l be p(j). Let d = l + -12. Is 3 a factor of d?
True
Suppose -2*g - 14 = -d, 3*d = -4*g + g + 6. Suppose d = s + 1. Is s a multiple of 5?
True
Let n = 13 - 13. Suppose 3*w = -n*w + 333. Does 29 divide w?
False
Let o be 146/(-5)*15/(-6). Suppose 0*y = 3*y + 5*p - o, 2*p = -2. Is y a multiple of 13?
True
Let o = 5 - 1. Suppose v - 15 = 2*k, 7*k = -2*v + o*k + 2. Is 3 a factor of v?
False
Let w(l) = 8*l**3 + 1. Let j(s) = -7*s**3 + s - 1. Let o = -5 + 3. Let r(q) = o*j(q) - 3*w(q). Is 11 a factor of r(- | {
"pile_set_name": "DM Mathematics"
} |
of -j**7/1008 - j**5/30 - 11*j**4/24 - 32*j**2. Let z(w) be the third derivative of i(w). What is z(s(a))?
-5*a**2
Let m(q) = -q**2 - 1433. Let t(d) = -d + 2523. Calculate t(m(o)).
o**2 + 3956
Let b(r) = -141*r. Let j(w) = -8*w. Let l(a) = 0 + 0 - 24*a + 21*a. Let g(n) = -4*j(n) + 11*l(n). What is g(b(s))?
141*s
Let k(w) = -w**2. Let u(g) be the first derivative of 823*g**3 + 360. What is k(u(o))?
-6095961*o**4
Let b(j) = -18*j. Let n(u) be the first derivative of -u**4/12 + 17*u**2/2 - 57. Let s(r) be the second derivative of n(r). Calculate b(s(p)).
36*p
Let c(p) = -47*p**2 - 27*p**2 + 10*p**2 + 0 + 31 - p**2. Let a(v) = v. Give a(c(g)).
-65*g**2 + 31
Let k(d) = -4018*d**2. Let b(q) = 206*q. Give b(k(w)).
-827708*w**2
Let l(d) be the second derivative of 13*d**3/6 - 26*d**2 - 1063*d. Let w(p) = 6*p**2. Give l(w(j)).
78*j**2 - 52
Let i(t) = 28*t**2. Let j(y) be the first derivative of 0*y**2 - 5*y**2 + 58 + 78 + y**2. Determine j(i(r)).
-224*r**2
Let p(g) = -5*g + 23. Let z be p(-6). Let f = 61 - z. Let y(k) = 11*k - 8*k - f*k. Let i(x) = 4*x. Determine i(y(t)).
-20*t
Let f(o) = 8*o - 9. Let g(w) = 12*w - 7. Let r(z) = 4*f(z) - 3*g(z). Let i(u) = -7*u**2. Calculate i(r(p)).
-112*p**2 - 840*p - 1575
Let r(p) = 3*p**2 + 91*p + 5. Let z(u) = 351*u. Give r(z(f)).
369603*f**2 + 31941*f + 5
Let g(d) = 2*d**2. Let b(n) = -12754624*n. Give b(g(o)).
-25509248*o**2
Let c(f) be the second derivative of -f**4/12 + 100*f. Let v(s) = -4*s**2 + 10 + 5*s**2 - 37 - 56. What is v(c(a))?
a**4 - 83
Let k(n) = -10*n - 19 - 17 + 36. Let h(c) = 15*c**2 - 4*c - 4. Let f(u) = -28*u**2 + 7*u + 7. Let a(w) = 4*f(w) + 7*h(w). Calculate k(a(t)).
70*t**2
Let m(a) = -1 - a + 1. Let h(i) = -18*i + 298. Let g be h(16). Let d(u) = 56 - u - 114 + 10*u + g*u + 59. Give m(d(y)).
-19*y - 1
Let o(r) = -r**2. Let f(k) = 2045942*k. Calculate o(f(q)).
-4185878667364*q**2
Let x(t) = 74*t - 32*t - 19*t - 25*t. Let h(q) = -1659*q. What is h(x(y))?
3318*y
Let m(a) be the first derivative of -18*a**3 + a + 1990. Let v(i) = 3*i. Calculate v(m(o)).
-162*o**2 + 3
Let p(s) = 162*s**2 - 96*s. Let j(m) = -922*m. Give j(p(k)).
-149364*k**2 + 88512*k
Let y(o) = 3*o. Let q(k) be the second derivative of 1/2*k**4 + 0*k**3 + 0*k**2 - 41 - 2*k. Determine q(y(m)).
54*m**2
Let c(o) = 2*o**2 - 4*o**2 - 4*o**2 + o**2. Let n(g) be the second derivative of g**4 + g**2/2 + 2346*g. What is c(n(p))?
-720*p**4 - 120*p**2 - 5
Let o(w) = 3*w**2. Let p(m) = -60*m + 116*m - 49*m. Determine o(p(t)).
147*t**2
Let u(p) = 10*p**2 - 24. Let c(w) = 7*w**2 - 15. Let t(g) = 8*c(g) - 5*u(g). Let n(j) = -50*j**2. Give t(n(v)).
15000*v**4
Let m(j) = -2*j**2. Let a(s) be the first derivative of 103*s**6/120 - 3*s**3 - s**2 - 6. Let z(b) be the third derivative of a(b). What is m(z(q))?
-190962*q**4
Let l(w) be the third derivative of -w**7/5040 - 61*w**5/60 - 65*w**2 - 2. Let z(y) be the third derivative of l(y). Let k(j) = -4*j. What is z(k(q))?
4*q
Let x(y) be the second derivative of -25*y**3/6 - y. Let p(u) = 1846602 - 5*u - 1846602. What is p(x(c))?
125*c
Let z be 32/464 + 4/(-58). Let v(u) be the third derivative of 5/12*u**4 + 15*u**2 + 0*u**3 + z*u + 0. Let k(t) = 3*t**2. Give v(k(a)).
30*a**2
Let n(x) = -4647*x**2 + 13926*x**2 + 2 - 4645*x**2 - 4640*x**2. Let y(u) = -14*u - 3. Calculate y(n(z)).
84*z**2 - 31
Let t(y) be the third derivative of -y**5/4 - 1852*y**2. Let q(j) = -420*j**2. Calculate q(t(p)).
-94500*p**4
Let p(a) = 11*a**2 + 10*a**2 - 2*a + 0*a. Let m(r) = 272*r + 268*r + 272*r - 813*r. What is p(m(f))?
21*f**2 + 2*f
Let p(w) = -6*w**2. Let i(f) be the second derivative of f**7/120 + 81*f**4/4 - f + 91. Let b(u) be the third derivative of i(u). Calculate p(b(z)).
-2646*z**4
Let m(v) = 4*v. Let c(p) be the second derivative of -p**6/180 + p**5/30 + 55*p**4/4 + 212*p. Let r(h) be the third derivative of c(h). Determine m(r(u)).
-16*u + 16
Let n(g) = -g**2. Let d(p) = -p**2 + 4620209*p. Give d(n(o)).
-o**4 - 4620209*o**2
Let d(y) = -17*y**2. Let c(p) be the third derivative of -25*p**4/24 - p**3/6 + 2*p**2 + 1299*p. Give d(c(t)).
-10625*t**2 - 850*t - 17
Suppose -4*l - 4*s = 16, -3*l - 2*s = 1 + 12. Let k(y) = -66*y - 5. Let b(h) = 33*h + 3. Let d(a) = l*b(a) - 3*k(a). Let m(i) = 4*i**2. Calculate d(m(q)).
132*q**2
Let l(w) = 31*w**2. Let j(d) be the third derivative of -22*d**4/3 - 3058*d**2. What is l(j(z))?
960256*z**2
Let h(w) be the second derivative of 29*w**3/6 + 2*w - 299. Let x(l) be the second derivative of -l**4/4 - l. Calculate h(x(n)).
-87*n**2
Let m(q) be the second derivative of 77*q**4/12 + 2028*q. Let h(a) = -7*a. Give h(m(n)).
-539*n**2
Let q(i) = -45*i**2 + 680*i + 5685. Let p(h) = 2*h. Calculate p(q(f)).
-90*f**2 + 1360*f + 11370
Let u(h) = 710 - 352 - 358 + 987*h**2. Let r(v) = v. Calculate r(u(s)).
987*s**2
Let d(p) = 15*p**2. Let h(m) be the third derivative of -379*m**5/60 + 3*m**2 - 144. What is h(d(i))?
-85275*i**4
Let f(b) = -115 + 115 + 509*b - 507*b. Let a(k) = -456*k - 3. Calculate a(f(t)).
-912*t - 3
Let s(b) = -3*b. Let h(w) = -5*w + 2 - 292*w - 1 + 0 - 97*w. What is h(s(v))?
1182*v + 1
Let j(f) = -f**2. Let r(m) = -250*m - 9. Let y(t) = -84*t - 2. Let p(u) = 3*r(u) - 10*y(u). What is p(j(v))?
-90*v**2 - 7
Let r(j) = 17*j**2. Let k(b) = 324*b - 642*b + 1 - 1 + 139*b. Determine r(k(m)).
544697*m**2
Let g(s) = -44*s. Let y(x) = -1108*x + 140*x**2 - 89*x**2 + 1108*x. Give y(g(h)).
98736*h**2
Let n(q) = -79*q - 3. Let w(j) be the third derivative of -j**5/12 + 2*j**2 - 1165*j. Calculate n(w(i)).
395*i**2 - 3
Let o(s) = -8*s**2 + 4. Let d(b) = 3*b**2 + 32*b - 40. Let g(a) = 4*a - 5. Let r(l) = 3*d(l) - 24*g(l). Determine o(r(v)).
-648*v**4 + 4
Let k(g) = 3*g + 888363. Let z(v) = 2*v. Give k(z(q)).
6*q + 888363
Let b(t) = 3*t**2. Let i(n) be the first derivative of 3/2*n**2 + 9*n - 134. Calculate i(b(z)).
9*z**2 + 9
Let k(x) = 13*x - 1116. Let i(d) = 3*d - 279. Let g(v) = -9*i(v) + 2*k(v). Let u(j) = 317*j + 131*j - 449*j. Give u(g(b)).
b - 279
Let p(w) = 12*w**2. Let u(d) be the first derivative of 147*d**2/2 - 1124. What is p(u(z))?
259308*z**2
Let z(m) = 505*m - 202. Let b(f) = 160*f**2. Give z(b(t)).
80800*t**2 - 202
Let r(d) = -2*d**2 - 29. Let h(u) = 6*u**2 - 5*u + 5. Let x(j) = 13*j**2 + 3 - j + 0*j**2 - 10*j**2 - 2*j. Let w(p) = -3*h(p) + 5*x(p). Give r(w(n)).
-18*n**4 - 29
Let w(f) = f. Let c(k) = 5*k - 2. Let d(m) = -m - 3. Suppose 24*v = 23*v + 1. Let n(g) = v*c(g) + 2*d(g). Give n(w(y)).
3*y - 8
Let p(t) be the second derivative of 7*t**3/6 + t. Let f(y) be the second derivative of 0*y**2 - 72*y + 0 - 1/3*y**3. Give p(f(x)).
-14*x
Let h be (7/21)/(2/18). Suppose -k = 0, h*j + 2 = 4*j - 5*k. Let z(x) = -4*x + j*x - 3*x + 3*x. Let l(g) = g. Give l(z(b)).
-2*b
Let g(h) be the second derivative of -h**7/630 - 5*h**4/3 + 22*h. Let d(f) be the third derivative of g(f). Let z(w) = -w**2 + 4*w**2 - 3 + 3. What is z(d(y))?
48*y**4
Suppose -5*i + 10*i - 32040 = -5*o, -4*i - 2*o = -25622. Let d(y) = -6*y - 6403 + i. Let s(p) = 2*p + 2 - 2. Determine s(d(v)).
-12*v
Let b(g) = 5*g**2 + 4*g + 220. Let f(d) = 6*d**2 + 5*d + 275. Let r(t) = 5*b(t) - 4*f(t). Let x(o) = -522*o**2. What is r(x(u))?
272484*u**4
Suppose 0 = k + 4*m + 2 + 6, -4*k + 10 = 2*m. Let n be -2 + 7 - (k + -2 + 1). Let b(f) = 1 + 3 - 14*f + n + 6*f. Let h(i) = i. What is h(b(o))?
-8*o + 6
Let d(j) = 3*j**2. Let c(w) = 19 - 6 - 36*w + 21 - 34. Determine c(d(i)).
-108*i**2
Let a(x) = -32. Let w(i) = -i**2 + 8. Let b(h) = a(h) + 4*w(h). Let d(k) = 80*k - 2. Calculate d(b(m)).
-320*m**2 - 2
Let l(c) = -2*c + 6. Suppose -3*v = -5*v + 4. Let g be l(v). Let u(f) = 30*f**g + 663*f - 663*f. Let z(b) = b. Determine z(u(a)).
30*a**2
Suppose 554 = 2*i - 4*p + 550, -4*i + 8 = -5*p. Let n(l) be the first derivative of -13/2*l**i + 0*l + 28. Let g(v) = -2*v. Give n(g(k)).
26*k
Let b(h) = 120*h + 1. Let p(q) be the second derivative of q**3/2 - 471*q + 1. Give p(b(v)).
360*v + 3
Let t(x) = -53*x. Let a(q) = -72*q - 264. Let n(o) = -29*o - 110. Let d(p) = -5*a(p) + 12*n(p). Calculate t(d(g)).
-636*g
Let c(j) = 64 + 24 - 3*j**2 - 88. Let y(g) = -26*g**2 + 5. What is y(c(p))?
-234*p**4 + 5
Let b(l) = 3*l - 13. Let w(f) = -8*f + 26. Let v(u) = -2*b(u) - w(u). Let q(s) = 5346*s. Give v(q(t)).
10692*t
Let o(w) = -3*w**2 - 356*w. Let | {
"pile_set_name": "DM Mathematics"
} |
5/91
Four letters picked without replacement from {o: 3, x: 7, y: 1, p: 6}. Give prob of sequence xxyx.
1/272
Three letters picked without replacement from cuuuxggygxuuuy. Give prob of sequence ucy.
1/182
What is prob of sequence ggj when three letters picked without replacement from gjjjgjgjjg?
1/10
Calculate prob of sequence jb when two letters picked without replacement from {a: 2, t: 1, b: 1, g: 2, j: 2}.
1/28
Two letters picked without replacement from owwwwwwwwwwwwowwwwwo. What is prob of sequence ow?
51/380
What is prob of sequence yq when two letters picked without replacement from {q: 2, w: 1, l: 4, y: 1}?
1/28
Two letters picked without replacement from lcsuuens. Give prob of sequence en.
1/56
What is prob of sequence xjb when three letters picked without replacement from {r: 2, a: 1, b: 1, t: 2, x: 2, j: 1}?
1/252
What is prob of sequence tz when two letters picked without replacement from {t: 1, d: 1, m: 3, l: 2, w: 2, z: 3}?
1/44
Three letters picked without replacement from {b: 3, c: 12}. Give prob of sequence cbb.
12/455
Four letters picked without replacement from czcczzcczzcczzzcczz. Give prob of sequence cczc.
35/646
Calculate prob of sequence ss when two letters picked without replacement from {s: 5, u: 5}.
2/9
Three letters picked without replacement from {p: 4, o: 1, x: 1, y: 5, h: 3, g: 1}. What is prob of sequence hhh?
1/455
Four letters picked without replacement from qmmiimm. Give prob of sequence iqqm.
0
What is prob of sequence gfmm when four letters picked without replacement from tcgfmsm?
1/420
Calculate prob of sequence qti when three letters picked without replacement from tiqt.
1/12
Three letters picked without replacement from {v: 5, j: 1, x: 2, w: 2, q: 5, y: 1}. What is prob of sequence yqq?
1/168
Calculate prob of sequence ssw when three letters picked without replacement from {i: 2, w: 1, s: 4, p: 3, j: 3, h: 3}.
1/280
What is prob of sequence tne when three letters picked without replacement from eunmethh?
1/168
What is prob of sequence wvvc when four letters picked without replacement from {w: 3, v: 2, c: 1, f: 1}?
1/140
What is prob of sequence ss when two letters picked without replacement from lsxxslxssxxalsass?
21/136
Two letters picked without replacement from yqyqyryuuupy. Give prob of sequence pp.
0
What is prob of sequence iii when three letters picked without replacement from {i: 5}?
1
Three letters picked without replacement from {t: 2, l: 6, o: 3, h: 7, s: 1}. Give prob of sequence hlo.
7/323
What is prob of sequence pr when two letters picked without replacement from {p: 9, s: 1, r: 1, k: 1}?
3/44
Four letters picked without replacement from jjssjj. What is prob of sequence jjjs?
2/15
What is prob of sequence isu when three letters picked without replacement from iueusevssxsveux?
2/455
What is prob of sequence rkr when three letters picked without replacement from rllqnlrqnrqrkqkqnq?
1/204
Four letters picked without replacement from {j: 4, q: 3, f: 4, x: 7}. Give prob of sequence xqfj.
7/1530
Three letters picked without replacement from rzrrnrnrznn. What is prob of sequence nrr?
8/99
Three letters picked without replacement from qqyysyyqyyyysqqy. What is prob of sequence qsq?
1/84
What is prob of sequence ttvt when four letters picked without replacement from {t: 5, v: 3}?
3/28
What is prob of sequence vim when three letters picked without replacement from {d: 1, m: 1, s: 1, c: 3, i: 1, v: 5}?
1/264
Calculate prob of sequence lp when two letters picked without replacement from {p: 2, l: 2, s: 1}.
1/5
Calculate prob of sequence tmjt when four letters picked without replacement from {f: 1, m: 1, t: 2, j: 1, r: 2, x: 1}.
1/840
Two letters picked without replacement from {g: 3, e: 2, w: 2, d: 6}. Give prob of sequence gw.
1/26
Two letters picked without replacement from {q: 4, g: 3}. What is prob of sequence qq?
2/7
What is prob of sequence hcu when three letters picked without replacement from {h: 11, u: 1, c: 3}?
11/910
What is prob of sequence hh when two letters picked without replacement from dhhhhhhh?
3/4
Three letters picked without replacement from nirvr. What is prob of sequence vni?
1/60
Two letters picked without replacement from sqsatsaappssssspsqp. What is prob of sequence ts?
1/38
Calculate prob of sequence aeea when four letters picked without replacement from {z: 2, f: 1, i: 8, a: 4, e: 4}.
1/646
Calculate prob of sequence ey when two letters picked without replacement from wwwyywwweewpwwep.
1/40
Calculate prob of sequence yobf when four letters picked without replacement from xxvffbfxvxoxyfx.
1/8190
What is prob of sequence ss when two letters picked without replacement from pspnpppnpsr?
1/55
Calculate prob of sequence nr when two letters picked without replacement from {r: 3, n: 3}.
3/10
Two letters picked without replacement from {l: 1, y: 2, x: 1, e: 1, f: 1, v: 1}. Give prob of sequence fy.
1/21
What is prob of sequence tt when two letters picked without replacement from tuuuutult?
1/12
What is prob of sequence mjj when three letters picked without replacement from slgmsmjlmmjs?
1/165
Calculate prob of sequence okoo when four letters picked without replacement from oooookooookkooo.
11/91
Calculate prob of sequence zf when two letters picked without replacement from {f: 1, z: 14}.
1/15
What is prob of sequence gq when two letters picked without replacement from mmqqmqmqmqqqqmgqqmmq?
11/380
Two letters picked without replacement from {e: 2, h: 1, f: 1, u: 1, j: 2, z: 1}. Give prob of sequence ue.
1/28
Four letters picked without replacement from xizxxxziixxi. What is prob of sequence xizi?
2/165
What is prob of sequence au when two letters picked without replacement from {f: 1, w: 2, a: 5, q: 2, u: 4}?
10/91
Two letters picked without replacement from {p: 2, z: 1, o: 1, f: 4, c: 1}. Give prob of sequence pc.
1/36
Two letters picked without replacement from imjjm. What is prob of sequence mj?
1/5
What is prob of sequence btmt when four letters picked without replacement from boomtotmtbeottoo?
1/546
Two letters picked without replacement from {h: 5, j: 7}. Give prob of sequence hh.
5/33
Calculate prob of sequence rst when three letters picked without replacement from {m: 2, t: 1, s: 1, r: 1}.
1/60
Calculate prob of sequence zzm when three letters picked without replacement from qqzcqziqcmqqqziqq.
1/680
Calculate prob of sequence chdd when four letters picked without replacement from crwwhchddchcdhhcwccc.
2/969
What is prob of sequence vv when two letters picked without replacement from iwwlviviwwiiv?
1/26
Calculate prob of sequence zn when two letters picked without replacement from hhndnhhnnzvnvnnhnvh.
4/171
Three letters picked without replacement from jrrjrjrjjjjrr. Give prob of sequence jjj.
35/286
Calculate prob of sequence zzbi when four letters picked without replacement from {i: 2, b: 3, z: 3}.
3/140
Calculate prob of sequence ddqq when four letters picked without replacement from {e: 5, d: 2, q: 13}.
13/4845
Three letters picked without replacement from {h: 1, j: 1, o: 2, i: 2}. Give prob of sequence hoj.
1/60
Calculate prob of sequence oz when two letters picked without replacement from {w: 3, z: 7, o: 6, m: 3}.
7/57
Two letters picked without replacement from rrsrrrrerrr. Give prob of sequence er.
9/110
Three letters picked without replacement from rcc. What is prob of sequence rcc?
1/3
Two letters picked without replacement from iddoxkd. What is prob of sequence xd?
1/14
Three letters picked without replacement from uccttcqctc. Give prob of sequence tuc.
1/48
Two letters picked without replacement from {w: 5, m: 2, k: 3}. What is prob of sequence km?
1/15
Calculate prob of sequence dd when two letters picked without replacement from wwwwwdddwdwwdwdd.
7/40
Three letters picked without replacement from {g: 2, j: 2, f: 4, a: 1, d: 1, y: 2}. What is prob of sequence dfj?
1/165
Four letters picked without replacement from xjjxxhjhljxhhhl. What is prob of sequence hxhj?
8/819
Two letters picked without replacement from uyxuuxuuyuxyyyyyx. Give prob of sequence uy.
21/136
Three letters picked without replacement from eiieoeioeieekeiikei. Give prob of sequence kko.
2/2907
Calculate prob of sequence lb when two letters picked without replacement from {e: 2, l: 1, a: 2, b | {
"pile_set_name": "DM Mathematics"
} |
2 + 0)*(-1 + 1 - 2*s**2)).
-4*s**5
Expand (-s**3 - s**3 + 0*s**3)*(-3*s**2 + 3*s**2 - 3*s**2) - s**2 + 5*s**5 - 2*s**5 - 2*s**5.
7*s**5 - s**2
Expand (c**2 - 2*c**2 + 3*c**2)*(1 + 0 - 17).
-32*c**2
Expand (d - d - 2*d**4)*(-28*d + 30*d - 7 + 1).
-4*d**5 + 12*d**4
Expand (-2*j + 0*j - 2*j)*((2*j - j - 2*j)*(-1 + 3 - 3) - 4*j + 6*j + j)*(2 - j - 2).
16*j**3
Expand (2 - 5 + 4)*((2*l - 5*l + 5*l)*(-l - 1 + 1) - l**2 + 3*l - 3*l + 1 + 5*l**2 - 1).
2*l**2
Expand (-2*m + 0*m + 0*m)*(13*m**2 + 7*m**2 + 5*m**2 - m**4).
2*m**5 - 50*m**3
Expand (2 + 0 - 1)*(10 + 12 + 23)*(3*t**2 + 3*t**2 - 7*t**2).
-45*t**2
Expand (-2 + 2*r + 2)*(3 - 3 + 1) + (-1 + 3 - 1)*(3 + 2 + r - 2).
3*r + 3
Expand -6*g + 0*g + 3*g + (-4 + 0 + 2)*(-2*g + 2*g + 2*g) + 2*g - 4*g + 0*g.
-9*g
Expand (1 + p - 1)*(-2 + 2 + 3).
3*p
Expand (3*p + 0*p - p)*((2*p - 1 + 1)*(-1 - 1 + 3) - 4*p - 2*p + 5*p + 0 - 2*p + 0 + 15*p - 7*p + 14*p).
42*p**2
Expand (3*b - 4*b + 3*b + (1 + 1 - 4)*(-3*b - b + 2*b))*(0 + b + 0 + (2*b - 4 + 4)*(-3 + 0 + 2) - 2 - 2*b + 2).
-18*b**2
Expand (-2 + 0*i + 0 + i)*(-1 + 2 + 0 + (5 - 4 + 1)*(-3 - 1 + 2)).
-3*i + 6
Expand -4*n**2 + 3*n**2 + 0*n**2 + (-n - n + 3*n)*(7*n - 2*n + 2*n) + 3*n**2 - 3*n**2 - n**2 + 2*n**2 - 3*n**2 + 2*n**2.
6*n**2
Expand (-1 + r**2 + 1)*(9*r - 2*r**2 + 4*r**2 - 11*r).
2*r**4 - 2*r**3
Expand -17*o**3 - 18*o**3 - 59*o**3 + (0*o + 2*o + 0*o)*(2*o**2 - 3*o**2 + 0*o**2).
-96*o**3
Expand (-4 + 3 + 0)*(2*d - 2*d + d)*(-1 + 1 - 2).
2*d
Expand 2*v + 0*v - 4*v + (-2*v + 4 - 4)*(2 - 1 - 3).
2*v
Expand (274*w - 274*w + 40*w**2)*(-5*w + 2*w + 0*w) + 2*w**3 - 7*w**3 + 4*w**3.
-121*w**3
Expand 2*a - a - 4*a + (2 - a - 2)*(2 + 0 - 1) - 2*a - a + 5*a - 2*a + a + 2*a.
-a
Expand (-2*h**2 - 4*h**2 + 4*h**2)*(-2*h - 1 + 1)*(-2 - h + 2).
-4*h**4
Expand (3*y - 6*y + 2*y)*(-6*y + 25*y + 8*y)*(4*y + 0*y - 5*y).
27*y**3
Expand (18*r**3 - 43 + 43)*(-r - 3*r + 2*r).
-36*r**4
Expand (0*h - 2*h + 3*h)*(h**4 - 3*h**4 - 7*h**3 + h**4).
-h**5 - 7*h**4
Expand (-3*n - 2*n + 4*n + (0*n + n - 2*n)*(3 + 1 - 2) - n - n + 3*n)*(-3*n**4 + 19*n**2 - 19*n**2).
6*n**5
Expand (-i - i**2 + 0*i + 3*i**2)*(-3*i - 3*i + 5*i)*(3*i - 2*i - 2*i).
2*i**4 - i**3
Expand 5*s - 2*s - s + (1 - 1 + 2)*(3*s + 0*s - 2*s) + 0 - 2*s + 0 + 1 - 1 + s + (2 - 5 + 1)*(-s + 3*s - 4*s) + 1 - 1 - 2*s + 2*s - s + s.
7*s
Expand (5*g - 3*g - 3*g)*((-g - g + 4*g)*(-3*g + g + 4*g) + (4*g - g + 2*g)*(2*g - 4*g + g)).
g**3
Expand (x**3 + 2 - 2)*(-5 + 5 + 2) + 116*x**3 + 827*x - 827*x + (5 + 2*x**2 - 5)*(-2*x - 2*x + 5*x).
120*x**3
Expand (-3*d + 0*d + d)*(60*d**2 + 56*d**2 - 3*d**3 - 111*d**2).
6*d**4 - 10*d**3
Expand (-2 - 7 + 8 + 7*k)*(-4*k**2 - 2*k**2 + 3*k**2).
-21*k**3 + 3*k**2
Expand -12*u**2 - 176*u + 176*u + (-3 + 2*u + 3)*(-u - 4*u + 3*u) - 1 + 1 - u**2.
-17*u**2
Expand (2*s - 2*s + 1 - s)*(3 + 2 - 2)*(-4*s + 3*s - s).
6*s**2 - 6*s
Expand (0 - 1 + 0)*(-6 + 4 + 4)*(-d - 1 + 1)*(-1 - 2*d + 1)*(d + 4*d - 10*d).
20*d**3
Expand -u + 3*u**5 + u + (u**4 - 1 + 1)*(1 - 2*u - 1) + 3*u**5 - 2*u + 2*u.
4*u**5
Expand -8*s**4 + 4 - 4 + (0*s - s + 0*s)*(-s**3 + s**3 - 2*s**3).
-6*s**4
Expand (-y**3 + 6*y**3 - 2*y**3 - y**3 - 2*y**3 + 5*y**3 + (4*y**2 - y**2 - 2*y**2)*(-y - 2 + 2))*(-5*y + 4*y + 2*y)*(-3*y - 10 + 10).
-12*y**5
Expand (-q + q - q)*(q + 3*q - 3*q) + 4*q**2 - 4*q**2 + 3*q**2.
2*q**2
Expand -4*n**3 + 3*n**3 + 0*n**3 + 0*n**3 + n**3 + n**3 + (-n - 2*n + 5*n)*(n**2 + 0*n**2 - 3*n**2) - 2*n**3 + n**3 - n**3.
-5*n**3
Expand ((3 + 2*r - 3)*(-r + 1 - 1) - r**2 + r**2 + r**2)*(17*r + 57 - 57).
-17*r**3
Expand 3 + 4*u - 3*u + 0*u - 2*u - u - 8*u + (-2 - 1 + 1)*(-u - u + 0*u).
-6*u + 3
Expand (-6 - 3 - 4)*(-2*a + a + 2*a) - 1 + 3*a + 1.
-10*a
Expand -6*c**2 + 3*c**2 + 2*c**2 + (-2*c**2 + 2 - 2)*(3 + 2 - 3) - 4*c**2 - 5*c + 5*c.
-9*c**2
Expand (-10*w + 3 - 3)*(-5*w - 2*w + 5*w)*(-6*w + 2*w + 3*w + (2 - 3 + 2)*(-4*w + 3*w - w)).
-60*w**3
Expand (-4*g**2 - g**2 + 3*g**2 - g)*(-31*g - 36*g + 9*g).
116*g**3 + 58*g**2
Expand (-p**4 + 0 + 0)*(11 + 2 + 8)*(0*p + p + p).
-42*p**5
Expand (-35*f + 3*f**2 + 35*f)*(-4*f + 4*f + f)*(1 + 2 - 4).
-3*f**3
Expand (7 - 1 - 4)*(-4*d**3 + 4*d**3 - d**3 + (d**2 - 2*d**2 - d**2)*(-5*d + d + 2*d)) - 2*d**3 - 2*d**3 + 2*d**3.
4*d**3
Expand 2 - 4 - d**3 - d**3 + (-2*d + 2*d + d)*(3*d**2 + 3*d - 3*d).
d**3 - 2
Expand -15*b + 0*b**5 + 14*b - 2*b**5 + (3 + 3 - 5)*(-3*b**5 + 4*b**3 - 4*b**3).
-5*b**5 - b
Expand (-3*q + 9*q + 6*q)*(1 - 5 + 2 + q)*(5 - 2 - 4).
-12*q**2 + 24*q
Expand (3*u + 2 + 0 - 9*u)*(0 + 0 - 2*u**3).
12*u**4 - 4*u**3
Expand j**4 - 24*j + 25*j + 2*j**5 - 4*j**5 + (j**2 - 3 + 3)*(-j**3 + 3 - 3).
-3*j**5 + j**4 + j
Expand g**3 - 3*g**3 + 4*g**3 + (-3*g**3 + 2*g**3 + 3*g**3)*(0 - 1 + 2) + 2 + g**3 - 2 - 3*g**3 + g**3 + g**3 + (-2*g + 2*g - 2*g**2)*(3*g - g + g).
-2*g**3
Expand (0*f + f - 2*f)*(-f**3 + f**3 + 2*f**3) - 3*f**3 + 3*f**3 + f**4.
-f**4
Expand (4*s**2 - s**2 - 2*s**2)*(-4*s**2 - 5*s**2 + 2*s**2).
-7*s**4
Expand (5*d**3 - 2*d**3 - 2*d**3)*(d**2 - d + d + 0*d**2 + 0*d**2 - d**2 + (d - 4*d + 2*d)*(2*d - 3 + 3) + 2*d**2 - d**2 - 2*d**2 - d**2 + d**2 - d**2).
-4*d**5
Expand (h - 2*h - 4*h)*(-3*h - 3*h + 4*h) - 2*h + 4*h**2 + 2*h.
14*h**2
Expand (7*t**2 + t**2 - t - 4*t**2)*(2*t**3 + 0*t**3 + 0*t**3).
8*t**5 - 2*t**4
Expand (l + 1 - 1)*((1 - 1 - 1)*(-2 - 1 + 0) - 2 + 5 - 2 + (-2 + 2 - 1)*(0 - 1 + 2) - 1 + 4 - 2).
4*l
Expand (3*n - n - 4*n)*(0*n**2 - n**2 + 0*n**2) + (2*n**2 - 1 + 1)*(2 - 2*n - 2) + 1 - n**3 - 1 - 3*n**3 + n**3 + 4*n**3.
-n**3
Expand (100*a**2 - 2*a - 108*a**2 + 3*a)*(2*a - 2*a**3 - 2*a).
16*a**5 - 2*a**4
Expand (-2 + 2 - 3)*(4 - 15 - 5)*(0*u - 3*u + u).
-96*u
Expand (0*l - l + 0*l)*(4*l**3 - 3*l**3 - 3*l**3) + 2 + 2*l**4 - 2 - 2*l + 2*l**2 - 3*l**2 - 2*l**3 + 2*l**2 - l**4.
3*l**4 - 2*l**3 + l**2 - 2*l
Expand -q + 2*q - 2*q + (2*q + 0 + 0)*(-5 + 1 + 6).
3*q
Expand -2*k**3 + 4*k**3 - k**3 + (-4 + 3 + 2)*(3*k**3 - k**3 + k**3).
4*k**3
Expand (-1 - 1 - 2)*(-1 + 7 - 3)*(3*g**2 + 2*g**2 - 6*g**2).
12*g**2
Expand (2*u**5 - u**5 + 0*u**5)*(-2 + 2 + 1) - 37*u**5 - 92*u**5 + 5*u**5.
-123*u**5
Expand -1 + 1 + h**4 + 7*h**4 - 5*h**4 + 7*h**4 + (-h**3 + 1 - 1)*(0 + 0 + 2*h).
8*h**4
Expand (u + u - u)*(6*u**3 - 2*u**2 + 2*u**2)*(0*u + 7*u - u).
36*u**5
Expand (-6*w + 0*w - 2 + 5*w)*(w + 3*w - 2*w)*(0*w + 9*w + 4*w).
-26*w**3 - 52*w**2
Expand (-t - 2*t**2 + t + 0*t**2 - t**2 + 0*t**2 + (5*t - t - 2*t)*(-3*t + 4*t + t) - 3*t + 3*t - 3*t**2)*(5*t + 8*t - 11*t + 5).
-4*t**3 - 10*t**2
Expand (0*t**2 - t**2 - 3*t**2)*(-4*t + 3*t + 3*t)*(0*t - t - t).
16*t**4
Expand (-1 - 1 + 6)*(-4*p**2 + p**2 + 2*p**2 + 5*p)*(-2*p + p - p).
8*p**3 - 40*p**2
Expand -y**3 + 4*y**3 - 5*y**3 + (-y**2 + y**2 + y**3)*(1 - 5 + 3) - 2 - 4*y**2 + 4*y**2 - 4*y**3.
-7*y**3 - 2
Expand (4*b - b - 4*b + 2)*(-3*b + 3 - 3).
3*b**2 - 6*b
Expand (-6*i + 5*i + 0*i + (-2 - i + 2)*(1 + 3 - 6))*(0*i - 2*i - i).
-3*i**2
Expand -t**5 + 0*t**5 - t**5 + (2*t - 2*t + 3*t)*(-t**4 + 2*t**4 + t**4) - 3*t**5 + t**3 - t**3 + 3*t**3 - t + 3*t**5 - 3*t**3.
4*t**5 - t
Expand (-2 - 1 + 1)*(-z**4 - z**2 + z**2 + (z**4 + 3*z**4 + z**4)*(1 - 2 + 0)).
12*z**4
Expand (4*s**2 - s**2 - 2*s**2)*(-3*s**2 + 3*s**2 - 2*s**2 + (s - s - 2*s)*(s - 2*s + 2*s) - 2*s**2 + s**2 + 2*s**2 + 3 - 3 + s**2) - 4*s - 2*s**4 + 4*s.
-4*s**4
Expand p**2 + 3*p**2 - 5*p**2 + (4*p - 4*p - p)*(0 + 0 + 5*p).
-6*p**2
Expand (-t + 3*t + 2 + 0)*(4*t - t - 5*t).
-4*t**2 - 4*t
Expand -8*p**2 + 8*p**2 + 2*p**5 + (0*p + 3*p - 2*p)*(p**4 + 0*p**3 + 0*p**3).
3*p**5
Expand (4 + 2*u - 3 + u)*(38 + 10*u - 38).
30*u**2 + 10*u
Expand (3*l**4 - 5*l**4 - 6*l**4)*(-10 + 8 + 12).
-80*l**4
Expand 4*m**2 + 4*m - 5*m**3 - 3*m**2 + 4*m**3 + (2*m**3 - 3*m**3 + 2*m**3)*(8 - 3 + 6).
10*m**3 + m**2 + 4*m
Expand (-12 - 25 + 14)*(1 - 1 - 2)*(2*k + 0*k - k).
46*k
Expand (-4 + 1 + 4)*(-4*m + m - m) - 1 - 2*m + 1 + (3*m - 2*m - 2*m)*(-1 + 1 - 2).
-4*m
Expand -9*r**4 + 9*r - 9*r + (6*r**4 - 4*r**4 - 4*r**4)*(-3 + 3 + 1) - 2 + 3*r**4 + 2 - r**4 + 0*r**4 + 2*r**4.
-7*r**4
Expand (2*u + 9*u - 2*u)*(5 - 3 + 0)*(0*u + 0*u + u - 2*u + 3*u - 3*u + (2 - 2 + 2)*(2*u - 6*u + 2*u)).
-90*u**2
Expand -4*d + d**2 + 4*d + 2*d**2 - 2*d**2 - 3*d**2 + (-2*d**2 + 2*d**2 + d**2)*(-3 + 1 + 1).
-3*d**2
Expand (-2*f**2 - 2*f**2 + 3*f**2 + 1)*(183 - 2*f**3 - 183).
2*f**5 - 2*f**3
Expand (1 - 2 + 2)*((-2 + 2 - 2*h)*(2 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 60*r = 51*r + 1638. What is the highest common divisor of 14 and r?
14
Let a = 31 - 5. Suppose a = 3*f - f. Let o(h) = 2*h - 3. Let c be o(8). What is the greatest common divisor of f and c?
13
Let f(v) = 5*v + 22. Let g be f(-9). Let o = 89 - g. Calculate the greatest common divisor of 14 and o.
14
Let x = -103 - -171. What is the highest common factor of x and 153?
17
Let z(q) = 3*q + 3. Let v be z(3). Let n be ((-232)/(-5))/(110/100) - (-4)/(-22). What is the highest common factor of v and n?
6
Suppose 3*p + 2*r - 2 = r, -3*p = 2*r + 2. Suppose 0 = -3*l - 3*o + 21, -l + 9 = o + p*o. Calculate the highest common factor of 24 and l.
6
Suppose 0 = 4*p - m - 641, -5*m - 568 = 5*p - 1388. Let j be -2 + 26 + -1 - 0. What is the greatest common factor of j and p?
23
Let m(c) = -c**2 + 4*c + 4. Let a be m(4). Suppose 1 = 5*p - a. Let n = -201 + 202. What is the greatest common divisor of p and n?
1
Let u = 1312 + -1092. Calculate the highest common divisor of 495 and u.
55
Let s(o) = o**3 + 15*o**2 - 74*o - 45. Let t be s(-18). What is the greatest common divisor of t and 252?
63
Let n = 17 + -17. Suppose n*q = -4*k + q - 16, 5*q = 0. Let w(o) = o + 10. Let h be w(k). What is the greatest common divisor of h and 4?
2
Suppose 4*s - 19 = 3*s. Suppose 6*x - 2*x - 2*z - 532 = 0, 3*x + 5*z - 399 = 0. What is the highest common divisor of s and x?
19
Let c(z) = 10*z + 25. Let k be c(3). Let l be (-1 - 10)*(-5 + 3). What is the greatest common factor of l and k?
11
Let d = 39 + -35. Suppose 0 = d*j - 5 - 31. What is the greatest common factor of 54 and j?
9
Let c = 141 + -123. Let r be (-1)/2*-4*1. Suppose -k - r*i = k - 278, 5*k = 4*i + 740. Calculate the highest common divisor of k and c.
18
Suppose -3*s + 38 = 11. Suppose 14 - 242 = -6*y. Let w = y - 37. What is the greatest common divisor of w and s?
1
Let v = 8 - 0. Suppose 4*j + 36 = v*j. What is the highest common factor of 9 and j?
9
Suppose -1555 = -8*t + 3*t. Let g = t + -183. What is the highest common factor of g and 16?
16
Let v(i) = -16*i + 324. Let r be v(18). What is the greatest common factor of 324 and r?
36
Suppose 15*n + 1025 = 20*n. Let a be (-1 + 2)*(40 - -1). What is the greatest common factor of n and a?
41
Let j be ((-1 - -4) + -6)*-1. Let d = 521 + -512. Calculate the highest common factor of d and j.
3
Suppose -2*j = -2*t + 106, -3*t - 2*t + 2*j + 274 = 0. Calculate the highest common divisor of 28 and t.
28
Let i be ((-14)/6)/((-4)/384). Calculate the greatest common factor of i and 14.
14
Suppose -3*v + 8 = -10. Let g be 21/(14/18 - v/(-27)). What is the highest common factor of 84 and g?
21
Suppose 18*o + 70 = 23*o. Let k = -69 - -181. Calculate the greatest common factor of k and o.
14
Suppose -2*o - 4*u + 0 = 2, -5*o + 5*u + 55 = 0. Let n(w) = w**3 - 6*w**2 - 3*w + 16. Let q be n(o). What is the highest common divisor of q and 352?
44
Let q(z) = z**2 + 4*z - 7. Let d be q(2). Suppose -d*f = -f - y - 360, 4*y + 90 = f. What is the highest common factor of 60 and f?
30
Suppose 168 = -4*t + 68. Let x = t + 27. Let w = 34 + -12. Calculate the highest common divisor of w and x.
2
Suppose 0 = -z - 0*z + 3. Suppose 97 + 575 = 4*k - 2*g, 0 = 4*k - z*g - 672. Calculate the greatest common factor of k and 14.
14
Let m = 4 - 3. Let l be (m/(-2))/((-9)/162). What is the greatest common factor of 6 and l?
3
Let d be 6 - (-315)/(-49) - 1899/(-21). Suppose n + 2*n + 2*c - 46 = 0, 0 = -2*n - 4*c + 20. What is the greatest common factor of d and n?
18
Let y(l) = 3*l**3 + 33*l**2 - 2*l + 48. Let c be y(-11). Calculate the greatest common divisor of c and 98.
14
Suppose -5*r + 980 = 4*j, 2*j - 185 = -r - j. Suppose 0 = 2*i + 4*q - 112, -2*i + 2*q - r = -6*i. What is the highest common divisor of 24 and i?
24
Suppose 3*m = -m + 5*y + 57, 4*m + 3*y - 81 = 0. Suppose d + 2*j = -3, 0 = 7*d - 3*d + 2*j - m. What is the greatest common factor of d and 49?
7
Let r = -11 + 20. Let s be 9*(51/r - -2). Suppose 0 = 3*n + 3*b - s, -5*n = -4*n - b - 25. Calculate the highest common factor of n and 4.
4
Let y(k) = -2*k**2 + 14*k - 10. Let m be y(9). Let q = 174 + -104. Let c = m + q. What is the highest common divisor of c and 60?
12
Let c(x) = x**3 + 8*x**2 + 25*x + 65. Let t be c(-3). Let s = -219 - -490. Let r = s - 166. Calculate the greatest common divisor of t and r.
35
Let n = -27 - -43. Let i(g) = 11*g**3 - g - 2. Let c be i(-3). Let x = -168 - c. What is the greatest common factor of n and x?
16
Let g = 260 - 89. Let h be (-19)/(8/(-2) - -3). What is the greatest common divisor of h and g?
19
Let x = 1263 - 430. What is the greatest common factor of 357 and x?
119
Let f(g) = -g**3 + 2*g**2 + g + 11. Let n be f(0). Calculate the highest common divisor of 55 and n.
11
Suppose -2*u + 0*u = -22. Suppose 0 = -21*m + 19*m + 32. Suppose m = 4*t + 12. What is the greatest common factor of t and u?
1
Let u(q) = -6*q - 3*q**2 - q**2 + 3*q**2 - 13 + 14*q**2. Let z be u(-5). What is the greatest common divisor of 38 and z?
38
Let q = 29 + -19. Suppose -4*x = -q*h + 5*h + 1, 2*x - 5*h = -3. What is the highest common divisor of 2 and x?
1
Let v(k) = -k**3 - 9*k**2 - 12*k. Let z be v(-9). Calculate the greatest common divisor of 12 and z.
12
Suppose 3*n - 475 = -430. What is the greatest common divisor of n and 120?
15
Suppose 4*v = 2*n + 156, 4*v - n - 156 = -0*v. Let b = v - 23. Let c be (96/2)/(6/16). What is the highest common factor of c and b?
16
Suppose 7*p + 0*p = -70. Let z be (p + 70)*(-1)/(-2). Suppose i - 2*i = -2*o - 12, 3*i - o - 21 = 0. Calculate the greatest common factor of i and z.
6
Suppose 0 = -4*f + 336 + 84. Suppose -d + p - 3*p + 11 = 0, 3*d + 4*p - 23 = 0. Let j be 105/(-25)*(-5)/d. Calculate the greatest common divisor of j and f.
21
Suppose 615 = 4*j - 5*a, -2*j - 29*a + 24*a = -285. What is the highest common divisor of j and 225?
75
Suppose -3*y - 2*t + 222 = 0, 3*t = -2*t. Let l = -30 + y. Suppose 3*j + l = 134. Calculate the highest common divisor of 75 and j.
15
Let i = 156 + -75. What is the greatest common divisor of i and 18?
9
Suppose s + 3*z = -5 + 30, z + 15 = 2*s. Let h(f) = -f**3 + 11*f**2 - 9*f + 2. Let q be h(s). What is the highest common divisor of q and 12?
12
Let c be ((-24)/(-18))/((-2)/(-3)). Let q(o) = o**3 + 22*o**2 - 2*o - 39. Let n be q(-22). What is the greatest common divisor of c and n?
1
Let g(b) = b**3 - b**2 - 2*b - 1. Let c be g(3). Suppose -5*a = 3*f - 4 + c, 4*f - 29 = a. What is the highest common factor of 6 and f?
6
Let t = -73 + 195. Let d = -82 + t. Calculate the highest common factor of d and 30.
10
Let a = 434 + -390. What is the greatest common divisor of a and 4?
4
Let a = 67 + -100. Let n = 53 + a. Let i be (-2)/(2*1/(-8)). Calculate the highest common divisor of i and n.
4
Let c(i) = -38*i + 5. Let j be c(-2). Suppose -o = 4, 3*t - 75 - j = 3*o. Suppose 3*y - 60 - 300 = 0. Calculate the greatest common factor of t and y.
24
Let h be 8/6 + 2534/21. Let u = 304 - h. Calculate the highest common factor of u and 26.
26
Let g = 426 + -383. Calculate the highest common factor of 129 and g.
43
Let w be ((-38)/(-4))/(1/18). Suppose -70 = -4*b + 2*s, 10*b + 15*b = -5*s + 490. Calculate the greatest common divisor of w and b.
19
Let m be 8 - (0 + (-1 - (-5 - -4))). Suppose 68 = m*g - 12. Calculate the greatest common factor of 120 and g.
10
Let g(p) = 11*p - 5. Let i be g(10). Suppose -3*s + 8*s = i. What is the greatest common factor of s and 42?
21
Let m = -36 - -44. Let i = -15 - -23. What is the highest common factor of i and m?
8
Suppose 246 = -1141*s + 1182*s. Let q(p) = 31*p**2 + 2*p + 1. Let b be q(-1). What is the greatest common factor of s and b?
6
Let g = 276 + -387. Let c be 3/(-6) + g/(-2). Let w = 37 + -26. Calculate the highest common factor of c and w.
11
Let p(n) = -2*n + 21. Let s be p(12). Let i be -3 - ((-504)/s)/(-2). What is the highest common factor of 27 and i?
27
Let j = -95 + 151. Let t be ((-88)/33)/((-4)/6). Suppose t*b - 16 - 44 = 4*n, b - 10 = -4*n. What is the highest common factor of j and b?
14
Suppose 10 = 4*q + 6. Let w be 30/(-1)*-2*q/6. What is the greatest common divisor of w and 130?
10
Let q be 1/4 + (-91)/(-4). Suppose -3*i - 7 + q = p, -5*i = -p - 16. Suppose -124*g = -155*g + 868. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 2373?
3, 7, 113
What are the prime factors of 26924?
2, 53, 127
List the prime factors of 14284.
2, 3571
What are the prime factors of 3847?
3847
What are the prime factors of 3183?
3, 1061
What are the prime factors of 2793?
3, 7, 19
List the prime factors of 5743.
5743
List the prime factors of 1736.
2, 7, 31
List the prime factors of 2087.
2087
What are the prime factors of 5342?
2, 2671
List the prime factors of 1033.
1033
List the prime factors of 1935.
3, 5, 43
What are the prime factors of 67415?
5, 97, 139
What are the prime factors of 29316?
2, 3, 7, 349
What are the prime factors of 5628?
2, 3, 7, 67
List the prime factors of 194.
2, 97
List the prime factors of 8443.
8443
What are the prime factors of 205519?
205519
What are the prime factors of 74062?
2, 19, 1949
List the prime factors of 5997.
3, 1999
List the prime factors of 5543.
23, 241
What are the prime factors of 719?
719
What are the prime factors of 506?
2, 11, 23
What are the prime factors of 798?
2, 3, 7, 19
What are the prime factors of 1561?
7, 223
What are the prime factors of 2746?
2, 1373
List the prime factors of 101578.
2, 50789
List the prime factors of 4450.
2, 5, 89
What are the prime factors of 15133?
37, 409
What are the prime factors of 52614?
2, 3, 37, 79
List the prime factors of 6139.
7, 877
List the prime factors of 977.
977
What are the prime factors of 38817?
3, 19, 227
List the prime factors of 101260.
2, 5, 61, 83
What are the prime factors of 30118?
2, 11, 37
List the prime factors of 130954.
2, 41, 1597
List the prime factors of 28.
2, 7
List the prime factors of 13173.
3, 4391
What are the prime factors of 2492?
2, 7, 89
What are the prime factors of 7640?
2, 5, 191
List the prime factors of 36513.
3, 4057
What are the prime factors of 19421?
19421
List the prime factors of 113.
113
What are the prime factors of 1212?
2, 3, 101
List the prime factors of 573.
3, 191
What are the prime factors of 4825?
5, 193
What are the prime factors of 325?
5, 13
What are the prime factors of 4388?
2, 1097
List the prime factors of 14508.
2, 3, 13, 31
What are the prime factors of 237?
3, 79
What are the prime factors of 626?
2, 313
List the prime factors of 105998.
2, 52999
List the prime factors of 76335.
3, 5, 7, 727
List the prime factors of 9500.
2, 5, 19
What are the prime factors of 46788?
2, 3, 7, 557
List the prime factors of 2390.
2, 5, 239
What are the prime factors of 479?
479
What are the prime factors of 10213?
7, 1459
List the prime factors of 10640.
2, 5, 7, 19
What are the prime factors of 2095?
5, 419
List the prime factors of 5545.
5, 1109
What are the prime factors of 1611?
3, 179
List the prime factors of 8349.
3, 11, 23
What are the prime factors of 507?
3, 13
What are the prime factors of 86?
2, 43
What are the prime factors of 547?
547
List the prime factors of 4080.
2, 3, 5, 17
What are the prime factors of 2603?
19, 137
List the prime factors of 4823.
7, 13, 53
What are the prime factors of 4069?
13, 313
List the prime factors of 719.
719
List the prime factors of 1985.
5, 397
What are the prime factors of 57118?
2, 28559
What are the prime factors of 1376?
2, 43
List the prime factors of 3698.
2, 43
List the prime factors of 8532.
2, 3, 79
List the prime factors of 3809.
13, 293
List the prime factors of 45553.
45553
What are the prime factors of 53471?
11, 4861
List the prime factors of 539.
7, 11
What are the prime factors of 26522?
2, 89, 149
List the prime factors of 901.
17, 53
List the prime factors of 2378.
2, 29, 41
List the prime factors of 12665.
5, 17, 149
List the prime factors of 574.
2, 7, 41
List the prime factors of 6147.
3, 683
List the prime factors of 1404.
2, 3, 13
List the prime factors of 1496.
2, 11, 17
List the prime factors of 804.
2, 3, 67
List the prime factors of 87437.
7, 12491
List the prime factors of 44481.
3, 14827
What are the prime factors of 2053?
2053
List the prime factors of 32654.
2, 29, 563
What are the prime factors of 3347?
3347
List the prime factors of 2513.
7, 359
List the prime factors of 1344.
2, 3, 7
What are the prime factors of 69?
3, 23
List the prime factors of 10685.
5, 2137
List the prime factors of 4946.
2, 2473
List the prime factors of 90.
2, 3, 5
List the prime factors of 6745.
5, 19, 71
List the prime factors of 64593.
3, 7177
What are the prime factors of 10460?
2, 5, 523
List the prime factors of 48526.
2, 19, 1277
What are the prime factors of 70?
2, 5, 7
What are the prime factors of 3749?
23, 163
List the prime factors of 15881.
15881
List the prime factors of 1151.
1151
What are the prime factors of 217?
7, 31
What are the prime factors of 704?
2, 11
What are the prime factors of 19025?
5, 761
List the prime factors of 913.
11, 83
List the prime factors of 22848.
2, 3, 7, 17
List the prime factors of 15600.
2, 3, 5, 13
What are the prime factors of 3122?
2, 7, 223
What are the prime factors of 8559?
3, 317
What are the prime factors of 2487?
3, 829
List the prime factors of 237.
3, 79
What are the prime factors of 3723?
3, 17, 73
What are the prime factors of 1269?
3, 47
List the prime factors of 11372.
2, 2843
List the prime factors of 28133.
7, 4019
What are the prime factors of 16879?
16879
What are the prime factors of 761?
761
List the prime factors of 1240.
2, 5, 31
List the prime factors of 271.
271
List the prime factors of 84225.
3, 5, 1123
List the prime factors of 1224.
2, 3, 17
List the prime factors of 1195.
5, 239
What are the prime factors of 15915?
3, 5, 1061
What are the prime factors of 70007?
7, 73, 137
What are the prime factors of 117442?
2, 13, 4517
What are the prime factors of 15876?
2, 3, 7
List the prime factors of 10309.
13, 61
What are the prime factors of 33426?
2, 3, 619
What are the prime factors of 1199?
11, 109
List the prime factors of 17721.
3, 11, 179
What are the prime factors of 1779?
3, 593
List the prime factors of 2478.
2, 3, 7, 59
List the prime factors of 722.
2, 19
List the prime factors of 15461.
15461
What are the prime factors of 115975?
5, 4639
What are the prime factors of 29453?
29453
What are the prime factors of 21379?
21379
List the prime factors of 85.
5, 17
What are the prime factors of 5918?
2, 11, 269
What are the prime factors of 39835?
5, 31, 257
List the prime factors of 2870.
2, 5, 7, 41
What are the prime factors of 5485?
5, 1097
What are the prime factors of 18483?
3, 61, 101
What are the prime factors of 1242?
2, 3, 23
What are the prime factors of 61712?
2, 7, 19, 29
List the prime factors of 93874.
2, 11, 17, 251
What are the prime factors of 32668?
2, 8167
What are the prime factors of 25282?
2, 12641
What are the prime factors of 43073?
19, 2267
What are the prime factors of 4843?
29, 167
List the prime factors of 1223.
1223
List the prime factors of 502.
2, 251
List the prime factors of 8936.
2, 1117
List the prime factors of 5960.
2, 5, 149
List the prime factors of 1405.
5, 281
List the prime factors of 4004.
2, 7, 11, 13
List the prime factors of 2123.
11, 193
List the prime factors of 3680.
2, 5, 23
List the prime factors of 17597.
17597
What are the prime factors of 379?
379
List the prime factors of 7280.
2, 5, 7, 13
List the prime factors of 117805.
5, 23561
What are the prime factors of 2789?
2789
What are the prime factors of 25748?
2, 41, 157
List the prime factors of 6302.
2, 23, 137
List the prime factors of 40.
2, 5
What are the prime factors of 740?
2, 5, 37
List the prime factors of 3238.
2, 1619
List the prime factors of 13363.
7, 23, 83
List the prime factors of 11237.
17, 661
List the prime factors of 3121.
3121
List the prime factors of 1297.
1297
What are the prime factors of 53744?
2, 3359
What are the prime factors of 2981?
11, 271
List the prime factors of 7657.
13, 19, 31
List the prime factors of 852.
2, 3, 71
What are the prime factors of 3306?
2, 3, 19, 29
What are the prime factors of 8901?
3, 23, 43
What are the prime factors of 8969?
8969
List the prime factors of 16390.
2, 5, 11, 149
What are the prime factors of 26916?
2, 3, 2243
List the prime factors of 2058.
2, 3, 7
List the prime factors of 46041.
3, 103, 149
What are the prime factors of 27761?
17, 23, 71
What are the prime factors of 18029?
11, 149
List the prime factors of 14858.
2, 17, 19, 23
L | {
"pile_set_name": "DM Mathematics"
} |
- -547148485.00000022. Let h = t - j. Round h to 7 decimal places.
-0.0000002
Let a = 5.86 - -0.14. Let d = 8.2 - a. Let r = d - 2.2065. Round r to 3 dps.
-0.007
Suppose -2*f + 4 = 0, 0*r = -r - f + 13. What is r rounded to 0 dps?
11
Let r = -2.9 - 0.1. Let g = r - -3.0009. Round g to 4 dps.
0.0009
Suppose 4*q - 26 = 2*q. Let p(u) = -39232*u + 16. Let l be p(q). Round l to the nearest one hundred thousand.
-500000
Let a = 11 - 23. Let p = a - 29. Let j = p - -40.99933. Round j to four decimal places.
-0.0007
Let c = -3 + 2.72. Let o = c - -0.28000031. What is o rounded to 7 dps?
0.0000003
Let u = 0.15685 + -0.162. Round u to 4 dps.
-0.0052
Let v(b) = 1269*b**3 + 10*b**2 + 2*b - 20. Let o be v(10). Round o to the nearest 100000.
1300000
Let a = -0.24 + -7.76. Let q = a - -8.00032. What is q rounded to 4 decimal places?
0.0003
Let j = -20 + 19.99958. What is j rounded to four dps?
-0.0004
Let z = -6.3 - -1.3. Let n = 63.7 + -59. Let p = n + z. What is p rounded to 0 dps?
0
Let v(d) = 38*d - 17. Let a be v(6). Round a to the nearest 10.
210
Let p = 424 - 410.77. Let u = -0.23 + p. Let q = -13.000028 + u. What is q rounded to 5 decimal places?
-0.00003
Let v be ((-284)/2 - -3)*1. Let d = -74 - v. Round d to the nearest ten.
70
Let s be 18/(-4)*(-2)/3. Let b be (s - (0 + 1))*1684838. Let u = -2269676 + b. What is u rounded to the nearest one million?
1000000
Let c = 172432 - 172432.00199931. Let o = -0.002 - c. What is o rounded to seven dps?
-0.0000007
Let z be (-1)/4 - 10/(-8). Let d be (500/12)/(z/7200). Suppose 0 = -5*x + x + d. Round x to the nearest ten thousand.
80000
Let d = 103.473 - -294.521. Let a = d - 397. Let f = 0.92 - a. What is f rounded to 2 decimal places?
-0.07
Let w = 15 + -11. Let z = w - 4.5. Let s = z + 0.3. What is s rounded to zero decimal places?
0
Suppose 4*j + 20 = -0*j + 4*f, 0 = -4*j - 3*f + 15. Suppose j = -3*u, -3*z + 8 - 2 = u. Let o be (-1 - z)/(-3) - 56001. Round o to the nearest ten thousand.
-60000
Let u = 0.12 - 2.59. What is u rounded to 0 dps?
-2
Let l = -1522.4 + 1523.300072. Let c = l - 0.9. What is c rounded to five dps?
0.00007
Let w = -866.3533 + 863.9533065. Let g = w - -2.4. Round g to 6 decimal places.
0.000007
Let v = -55 - -54.874. What is v rounded to one decimal place?
-0.1
Let v = 0.48 - 0.08. Let k = 0.404 - v. Round k to three decimal places.
0.004
Let h(k) = -12624*k - 3. Let s be h(8). Let q = 21995 + s. Round q to the nearest ten thousand.
-80000
Let h = 0.030545 + 30.088455. Let v = -0.22 - -30.22. Let b = v - h. Round b to 2 decimal places.
-0.12
Let x be 26*(-4)/12*-6. Suppose x = -2*c + 4*s, 8*s = -3*c + 3*s - 45. What is c rounded to the nearest ten?
-20
Let o = -2441693 - -891693. Round o to the nearest one hundred thousand.
-1600000
Let i(a) = -108830*a - 203160*a + 4 + 1278657*a. Let x be i(-12). What is x rounded to the nearest 1000000?
-12000000
Let p = -531725981101.551 + 532116144687.5509866. Let i = 390163460 - p. Let f = i - -126. What is f rounded to six dps?
0.000013
Let o = 27.87 + -28. Let q = -0.1142 - o. What is q rounded to 3 decimal places?
0.016
Let c = 0.14 - 0.13977. What is c rounded to five decimal places?
0.00023
Suppose 4*i + i = -3*l - 25, 5*i = 4*l - 25. Suppose g - 153000 = -l*g. Round g to the nearest 10000.
150000
Let z = -0.07 - -0.06. What is z rounded to 3 dps?
-0.01
Let r = -0.04999 - -0.05. Round r to 6 decimal places.
0.00001
Suppose 3*m - 3 = 4*m, 3*i - 4*m = -2729988. What is i rounded to the nearest 100000?
-900000
Suppose 3*h + 0*h - 686484 = 0. Let f = -113828 + h. What is f rounded to the nearest ten thousand?
120000
Suppose 4*r = 5*r - 5. Suppose -r*v = -4*v + 690. Round v to the nearest 100.
-700
Suppose l - 2419 = 2301. Suppose -4*j + l = 2*s, -3*j = -j - s - 2360. What is j rounded to the nearest one hundred?
1200
Suppose 2*y + 1 + 1 = 0, 3*s - 3*y - 87 = 0. Suppose -2*q - 40 = s. What is q rounded to the nearest ten?
-30
Let w = 10.808 + 0.092. Let j = 2.4965758 + -13.3967148. Let c = w + j. What is c rounded to 5 dps?
-0.00014
Let k = 110.44 + -108. Let d = k - -0.06. Let p = d + -2.50071. Round p to 4 decimal places.
-0.0007
Let o(p) = p**2 + 740000. Let i be (2 + -1)*(7 - 7). Let n be o(i). Round n to the nearest one hundred thousand.
700000
Let o = 105.5 + -150. Let a = 35 + o. Let t = 12 + a. Round t to zero decimal places.
3
Let a = -10636 + 10635.92071. Let u = a - 0.020726. Let g = u + 0.1. What is g rounded to five dps?
-0.00002
Let x(f) = f**2 + 5*f - 1. Let r be x(-6). Suppose r*d - 62500004 = -s, 2*s - 6*s = -16. Round d to the nearest one million.
13000000
Let q = 6.9 + 39.1. Let h = q - 44.96. Round h to one dp.
1
Let t = -0.876 + 0.607. Let h = t - -0.25. What is h rounded to two dps?
-0.02
Let y = -22894.70516 + 33316.8153. Let f = y - 10422. Let d = f - 0.11. Round d to 5 decimal places.
0.00014
Let x(z) = -14879*z**3 + z**2 - 21*z - 5. Let t be x(-5). What is t rounded to the nearest 100000?
1900000
Let f(i) be the first derivative of -5187*i**2 - 8*i - 1. Let l be f(8). What is l rounded to the nearest 10000?
-80000
Let a = -213 - 97. Let c = a + 310.0000127. What is c rounded to 6 decimal places?
0.000013
Let m = -0.65 + 26.65. Let f = m + -9.2. Round f to zero dps.
17
Let x = 5 + -12. Let l = -1.2 - -3.6. Let w = l + x. What is w rounded to the nearest integer?
-5
Let q(o) = 2153*o + 10. Let u be q(5). Let l = -2875 + u. What is l rounded to the nearest 1000?
8000
Let m = -2.12 - -2.764. Round m to one decimal place.
0.6
Let n = 65 + -64.06. What is n rounded to 1 dp?
0.9
Let t = 323589 - 323590.79947. Let x = -1.8 - t. What is x rounded to four decimal places?
-0.0005
Let t be (46/(-4) - 1)/((-3)/(-48)). Round t to the nearest 1000.
0
Let k = 329 - 132. Let z = 127 - k. Round z to the nearest one hundred.
-100
Suppose 252725 = -2*t - 51275. Round t to the nearest 10000.
-150000
Let t = -37 + 54.8. Round t to the nearest integer.
18
Let r = 208549706 - 208549696.5999949. Let z = 9.4 - r. What is z rounded to six decimal places?
-0.000005
Let b = -808 + 809.724. Let k = b + -2.713. Let s = k - -1. Round s to 2 decimal places.
0.01
Let q = 70 + -68.9. Round q to the nearest integer.
1
Let d = -26 + 25.9999951. What is d rounded to six dps?
-0.000005
Let i = -129 - -52. Let m = 667 + -738.3. Let t = i - m. Round t to 0 decimal places.
-6
Let j be (6/10)/(2/90). Suppose -3*h = -4*h - j. What is h rounded to the nearest ten?
-30
Let z be 2228*((-8067)/(-6) + 2). Suppose -2*k = -k - 3. Suppose -3*g + 0*g - 2*m - 2999996 = 0, -m = -k*g - z. Round g to the nearest one million.
-1000000
Suppose -3*d = 4*c - 44, -82 = -5*d + 4*c + 2. Let k = d - 23. Let y be (2 - k)*(-6)/9. What is y rounded to the nearest ten?
-10
Let i = 0.1 + -0.05. What is i rounded to 2 decimal places?
0.05
Let z = 3.68 - 0.18. Let v = -3.49999971 + z. Round v to 7 dps.
0.0000003
Let t = 14085969 + -14085980.999854. Let n = -12 - t. What is n rounded to 5 decimal places?
-0.00015
Let r = 2 + 1. Suppose r*k + 14888 = -189112. What is k rounded to the nearest 10000?
-70000
Let d = -18 - -21.2. What is d rounded to the nearest integer?
3
Let g = -0.48 - -0.5. Let r = g + 32.98. Let i = 26.4 - r. What is i rounded to 0 dps?
-7
Let j = 0.240155 - -79.394865. Let n = j + -69.436. Let z = -10.2 + n. What is z rounded to four dps?
-0.001
Let l = 0.22 + -0.582. What is l rounded to 2 dps?
-0.36
Let s = 143048979 + -143122325.027. Let a = s + 73387. Let c = 41 - a. Round c to two dps.
0.03
Suppose -2*i - 34592 = -2*o, 10*i - 51920 = -3*o + 5*i. Round o to the nearest 1000.
17000
Let n be (4/6)/((-4)/30). Let d(z) = -664*z**3 - z**2 - 4*z + 5. Let k be d(n). Round k to the nearest ten thousand.
80000
Let k = 95289.92517014 + -90146.72897. Let f = -5144.5962 + k. Let m = f + 1.4. What is m rounded to seven decimal places?
0.0000001
Suppose 0 = -4*n + 18646 - 49446. Round n to the nearest 1000.
-8000
Let z(l) = -554*l + 8. Let v be z(9). Suppose 0 = 2*w, 2*w = -c - 4*c - 160110. Let x = v + c. Round x to the nearest 10000.
-40000
Let y = 0.099 - 52.099. Let t = -7.167770627 + 59.167770137. Let i = t + y. Round i to 7 dps.
-0.0000005
Suppose -3*f + 312533 = 1752533. What is f rounded to the nearest one hundred thousand?
-500000
Let x = 1436.2 + -1434.81591. Let y = | {
"pile_set_name": "DM Mathematics"
} |
7
Express -17*b + 2*b**2 + 1100004751 - 1100004758 - 3*b**3 + 2*b**2 in the form z*b**3 + g*b + p + k*b**2 and give k.
4
Express -6*r**2 + r**2 + 4*r**2 - 7*r**2 + 2*r**2 + 0*r**2 + (22 + 8 + 2)*(-3*r**2 - r**2 + 0*r**2) as k*r + p + t*r**2 and give t.
-134
Rearrange -14*h**3 - h**3 + 9*h**3 + (1 - 1 + 2*h**2)*(3*h + 2*h + 2*h) + 26*h**3 + 49*h - 49*h to s*h**3 + c*h**2 + o*h + x and give s.
34
Express (1074 - 933 + 2807)*(-d + 7*d - 5*d) in the form n + v*d and give v.
2948
Rearrange -307*d**2 + 838*d**2 - 6*d + 8*d to the form f*d**2 + o + u*d and give f.
531
Express 13*h**3 - 23*h**3 + 9*h**3 + 2902 + 154*h - 154*h + h**2 as y*h**3 + b + a*h + o*h**2 and give o.
1
Rearrange -437*w + 1617*w - 841*w + (1 - 2 + 0)*(2*w + 0*w + 0*w) + w + 1 - 1 - 2*w + 4*w + 3*w to k + r*w and give r.
343
Rearrange 4*a - 7*a + 68479*a**2 + a + 12*a**3 - 68480*a**2 - 1 to the form n*a**2 + s*a**3 + y*a + u and give u.
-1
Rearrange -69*b**2 + 13 - 44 + 401*b - 400*b to k + s*b + c*b**2 and give s.
1
Express (-48 + 7 - 10 - 29)*(-z + 5*z - 2*z + (-4 + 8 - 6)*(0*z - 3*z + 0*z)) in the form c + j*z and give j.
-640
Rearrange 4 - 2 + 73*f - 196*f + 101*f to the form d*f + r and give r.
2
Rearrange (-34*z**2 + 6 + 16*z**2 + 19*z**2)*(-895*z**2 + 118*z**2 + 141*z**2) to the form a*z**2 + r*z**4 + p*z + v*z**3 + t and give a.
-3816
Express -40*a**2 - 1510191*a + 4*a**3 + 70*a**2 + 11*a**2 + 66*a**2 + 1510188*a as k + w*a + l*a**2 + j*a**3 and give w.
-3
Express -463825*l**2 + 2*l + 231906*l**2 - 130 + 231914*l**2 as h*l**2 + x + s*l and give h.
-5
Express -3629*f + 1706*f - 5399*f + 1900*f - 4816*f in the form z + h*f and give h.
-10238
Express (3 + 1 + 1)*(84242 - 63*d - 84242) in the form f + v*d and give f.
0
Rearrange -157 + 80 + 77 + 34*z**2 + (-2 + 2 + 6)*(-81 + 8*z**2 + 81) to the form a*z**2 + f*z + j and give a.
82
Express n**2 - 71 - 2*n**2 - 72 - 63 + 193 - 18*n as t*n + v + f*n**2 and give t.
-18
Express -118510*l**3 + 7*l**2 + 0 + 5 - 4 + 20*l + 118512*l**3 + l**4 as t*l + m + d*l**4 + s*l**2 + k*l**3 and give m.
1
Express -93*s**4 + 205*s**4 + 241*s**4 + (-2*s**4 - 3*s**4 + 2*s**4)*(-1 - 1 + 3) in the form k*s**2 + h + i*s**3 + n*s + w*s**4 and give w.
350
Rearrange -t + 21*t**2 + 1275*t**3 + t - 1274*t**3 - 46 to o*t**2 + j*t + p*t**3 + m and give m.
-46
Rearrange (-q + 6*q - 4*q)*(-4 + 2 - 5) - 99 + 75 + 21 + 147*q to the form c + h*q and give c.
-3
Express -132*g**4 - 14435*g**3 + 14435*g**3 + (-3 + 2*g + 3)*(g**2 - g**2 - 2*g**3) + 5*g**4 + g**4 + 6*g**4 as x*g + y*g**3 + o*g**2 + z + p*g**4 and give p.
-124
Rearrange (0*a + 4*a - a)*(1 + 829*a + 86*a - 397*a) to the form c + t*a + j*a**2 and give j.
1554
Express -w**3 + 0*w**2 + 0 + w**2 + 9 + 13*w**2 - w**4 - 8 as b*w**3 + r*w + l*w**2 + d + x*w**4 and give x.
-1
Express (-1 + 1 + 2)*(-z + 6*z + 3*z) + 369 - 369 - 15*z + (-1 + 3 - 1)*(4*z + 5*z + 8*z) in the form c*z + f and give c.
18
Express 12 - 44*h**2 + 26*h**2 + 17*h**2 - 8*h + 10*h as b*h**2 + d + c*h and give c.
2
Rearrange 9091 - 9091 - 6240*o to t*o + y and give t.
-6240
Rearrange 6823 - q + 97 + 7066 + 0*q - 2731 to x*q + m and give m.
11255
Express -3*c**2 - 153321 - c**2 + 301*c**4 + 153319 + (1 + 2*c - 1)*(-c**3 + 0*c**2 + 0*c**2) as d*c + u*c**4 + g*c**3 + j + f*c**2 and give f.
-4
Rearrange -j**3 + 0*j**3 + 2*j**3 + (3*j + 0*j - 5*j)*(1 - 2*j**2 - 1) - 34252*j**2 - 8669*j**3 + 34252*j**2 to i*j + l*j**3 + q*j**2 + u and give l.
-8664
Rearrange (0 + 0 - 2)*(-u + 5*u - u)*(-2*u + 0*u + 3*u) + (-22 + 7 - 5)*(-u**2 + 2 - 2) - u**2 - 12*u**2 - 17*u**2 to l*u + v + d*u**2 and give d.
-16
Express (-554 + 138 + 174)*(-6 + 6 - 4*x)*(-3*x**3 + 3*x**2 - 3*x**2) as s + z*x**3 + j*x**4 + w*x**2 + y*x and give j.
-2904
Rearrange (-32*v**4 - 20*v**4 - 14*v**4)*(9 - 4 + 44) + (-v + 0*v - 7*v)*(-6*v**3 + 4*v**3 + 4*v**3) to the form y*v**4 + a*v**2 + i*v + s + f*v**3 and give y.
-3250
Express (v + 3*v - 6*v)*(-1 + 3 - 3)*(12 - 20 - 21) as g + p*v and give p.
-58
Rearrange -6*t**3 + 18*t**3 - 1 - 4*t**2 + 14*t - 64*t - 14*t**3 to g*t**2 + c*t + b + v*t**3 and give c.
-50
Rearrange 3*c**2 + 11*c - 246 - 114*c + 246 to a*c + v + z*c**2 and give z.
3
Express -1785*r**3 + 1786*r**3 + 38*r - 3182*r**2 + 3096*r**2 in the form n + q*r**3 + m*r**2 + k*r and give q.
1
Rearrange (-v**3 + 5*v + 6*v - 7*v)*(52*v + 611*v - 144*v - 214*v) to g*v**3 + a*v**4 + u + q*v**2 + l*v and give q.
1220
Rearrange (2 - 3 - 1)*(-1 + 1 - i) - 3*i + 3*i - i - 3470*i - 2773*i - 13660 + 6241*i + 2*i - 3*i - i to c*i + z and give z.
-13660
Express (-20 + 66446*x + 32*x**2 - 66446*x)*(2 + 3*x - 3*x - 2*x) - 9*x**3 - 8*x**3 + 4*x**3 as r*x**3 + l + o*x**2 + n*x and give l.
-40
Express -l**3 + 0*l + 891 - 479*l**2 - 893 + 3*l + 2*l**4 - 2*l in the form h*l + y*l**4 + t*l**2 + k*l**3 + w and give h.
1
Express -78*l + 7*l + 2*l + (3*l + 2*l - 7*l)*(-4 - 1 + 3) - l - 3*l + 3 + l as a*l + t and give t.
3
Express 358 - 2197711*f + 2197711*f + 2*f**2 in the form k + l*f + c*f**2 and give k.
358
Express -1 - v + 1 + (-2 + 2 - 2*v)*(-249 - 326 + 470) + (-4*v + 2*v + v)*(-6 + 1 + 3) as n*v + d and give n.
211
Rearrange 393*n - 175*n**2 - 188*n**2 - 3 + 3 + 383*n**2 to y*n**2 + f*n + c and give y.
20
Rearrange (-3*c**2 + 0*c**2 - 9*c**2)*(4*c + 4*c - 2*c) + 6*c**3 - 11*c**3 - 11*c**3 to the form l + d*c**2 + f*c + q*c**3 and give q.
-88
Express (11*j - 508 + j + 10*j + 5*j - 24*j)*(3*j - 4 + 4) in the form z*j + w + m*j**2 and give m.
9
Rearrange (94*x - 37 + 37)*(-1 + 3 + 0)*(-1 + 2 + 1) to l + w*x and give w.
376
Express -23*i**2 + 77*i**2 + 370*i - 14*i - 31*i**2 - 21*i**2 - 2*i**3 as q*i**2 + m*i + l + r*i**3 and give m.
356
Rearrange 420*t**2 + 418*t**2 + 28*t**4 - 3*t**3 + 7*t + 2 - 837*t**2 - 27*t**4 to u*t**2 + b + g*t**3 + x*t**4 + o*t and give b.
2
Express (3*j + 2 - 4 + 1)*(0*j + 3*j - 2*j + (16 + 1 + 8)*(-j - 53 + 53)) in the form m + n*j + h*j**2 and give h.
-72
Rearrange (2*b - b - 2*b)*(5 - 3 - 3) - 4*b + 4*b + 2*b - 4*b + 6*b + 556 - 958 to l*b + a and give a.
-402
Express -126*w + 0 + 133*w + 61*w**3 + 57*w**3 + 5 - 6 as c*w**3 + k + b*w + l*w**2 and give b.
7
Rearrange -1460*o**2 + 339*o**4 + 1460*o**2 + (-5 + 6 + 12)*(-2 - 3*o**4 + 2) to q*o + i*o**4 + b*o**3 + d + n*o**2 and give i.
300
Rearrange 612 - 1228 - 32*h**3 + 615 + 5*h - 7*h**2 to the form l + c*h + n*h**3 + v*h**2 and give n.
-32
Rearrange 8478*i + 260*i**2 - 84*i**3 + 53*i**3 + 46*i**3 - 8477*i to the form x*i + p*i**2 + b + u*i**3 and give x.
1
Express -544*q + 3 - 2*q**2 - q**3 - 2 - q**3 + 9*q**2 + 177*q as t*q + r*q**2 + a*q**3 + l and give a.
-2
Express 4*r**3 - 2 - 2*r**3 - 137*r**2 + 2*r**4 + 138*r**2 as q*r**2 + f*r + v*r**4 + w*r**3 + l and give l.
-2
Rearrange -h**2 - 320*h + 1229*h - 9*h**3 + h**2 + 5*h**3 + h**2 to i + x*h**3 + w*h**2 + z*h and give w.
1
Express 4*w**3 + 7*w**4 + 16*w + 19*w - 159*w**2 - 5*w**3 - 35*w as j*w**3 + s + y*w**2 + o*w + u*w**4 and give y.
-159
Express 1 - 155*p**2 + 468*p**2 - 153*p**2 + 138*p - 4*p**3 - 158*p**2 in the form i*p + d*p**2 + y*p**3 + z and give d.
2
Rearrange (2*r - r + r)*(0*r**2 - r**2 - r**2) + (r**2 + 5 - 5)*(-2840 - 1410 + 1483)*(2*r + 0*r - r) to p*r**3 + f*r + g + m*r**2 and give g.
0
Express (-6 + 4 + 1 - 3*w)*(772 - 1528 + 1863*w + 756) as d + k*w**2 + s*w and give k.
-5589
Rearrange -3 + 3 - 2 + 2*t + 497*t**2 + 577*t**2 + 111*t**2 - t**3 to b*t + v + q*t**3 + i*t**2 and give b.
2
Rearrange (-1386*d**4 - 559*d**4 - 339*d**4)*(-3 - 1 + 3) + 48*d - 48*d + 6*d**4 to a*d + x*d**3 + i + w*d**2 + p*d**4 and give p.
2290
Rearrange -2*o - 278*o**2 + 20*o - 2 - 16*o + 4 to t*o + b*o**2 + m and give b.
-278
Express (-859 + 6*r**2 + 1743 + 6*r**2)*(-r + 4 - 4) in the form u*r + g + w*r**2 + v*r**3 and give u.
-884
Rearrange m - 6898 + 4*m - 3*m + 6849 to the form u*m + j and give j.
-49
Rearrange 123*w**2 + 132*w**2 - 293*w**2 + 13*w + 93*w**2 to h + s*w + f*w**2 and give f.
55
Express (-2787*z**2 - 616*z**2 + 291*z**2)*(-3 + 1 + 0) as t + f*z**2 + y*z and give f.
6224
Rearrange 366*c + 3046 - 1557 - 1489 + 2*c**3 - 6*c**2 to u + l*c**2 + q*c**3 + x*c and give x.
366
Express (-3*j**2 - 7*j**3 + 3*j**2)*(9 - 5 + 0 + (-6 + 9 + 10)*(-2 - 1 + 4)) as q*j**3 + k*j**2 + w*j + s and give q.
-119
Rearrange (-1710*c + 483*c + 91*c)*(-2 + 2 + 2)*(1 - 1 + 1)*(0*c + 4* | {
"pile_set_name": "DM Mathematics"
} |
1053230?
88471320
Find the common denominator of 36/1119599 and 14/37603.
34707569
Calculate the lowest common multiple of 1995526 and 84318.
5986578
What is the common denominator of -51/15650 and -37/697990?
3489950
Calculate the least common multiple of 25704 and 4709.
7120008
What is the common denominator of -21/12941248 and 27/310816?
142353728
Calculate the least common multiple of 391746 and 1485.
193914270
What is the common denominator of -7/2467232 and -63/8?
2467232
Calculate the least common multiple of 272308784 and 28.
1906161488
What is the smallest common multiple of 2288803 and 20?
45776060
What is the least common multiple of 22131697 and 132790182?
132790182
Find the common denominator of -79/2388 and 20/39951.
31800996
Calculate the least common multiple of 18991 and 186767.
506698871
What is the least common multiple of 2500135 and 363656?
20001080
Find the common denominator of -121/10154000 and -97/7107800.
71078000
Calculate the common denominator of -1/129417 and -17/517668.
517668
What is the smallest common multiple of 348 and 614574?
35645292
Find the common denominator of -1/412238 and 50/46543.
2885666
Calculate the common denominator of 71/1080 and 7/290966.
157121640
What is the common denominator of -7/243861 and 12/4553?
38286177
What is the least common multiple of 3108157 and 1785537?
83920239
What is the lowest common multiple of 4573870 and 1203650?
22869350
Calculate the least common multiple of 3564894 and 708.
420657492
What is the least common multiple of 5097147 and 1390131?
15291441
Calculate the smallest common multiple of 843760 and 1020780.
812540880
Calculate the lowest common multiple of 5321988 and 5292.
15965964
Calculate the common denominator of 103/2850 and -39/12682025.
76092150
Calculate the lowest common multiple of 3810 and 383373.
486883710
What is the least common multiple of 1341932 and 608?
10735456
What is the smallest common multiple of 238 and 15255460?
106788220
Calculate the common denominator of 43/9520884 and -1/53622.
85687956
Calculate the common denominator of 51/5224 and -83/51096.
33365688
Find the common denominator of 46/9187785 and 37/15.
9187785
What is the common denominator of 5/219753876 and 13/84?
1538277132
Calculate the common denominator of -49/42694468 and -33/106.
42694468
Find the common denominator of 8/591045 and 64/115.
13594035
Calculate the smallest common multiple of 60665886 and 54.
181997658
What is the lowest common multiple of 24 and 54014526?
216058104
What is the lowest common multiple of 712482 and 6056097?
12112194
What is the lowest common multiple of 5825337 and 574329?
40777359
What is the common denominator of 7/120 and -47/1979570?
23754840
Calculate the smallest common multiple of 12 and 5227656.
5227656
Calculate the smallest common multiple of 28272 and 28272.
28272
What is the least common multiple of 104 and 6603922?
26415688
Calculate the common denominator of 101/7936 and 95/368896.
11435776
What is the least common multiple of 73244 and 7964?
145828804
Find the common denominator of -43/6558736 and 7/36073048.
72146096
Calculate the least common multiple of 407 and 163947.
1803417
Find the common denominator of 56/115148727 and -83/24.
921189816
Calculate the least common multiple of 150 and 465.
4650
Calculate the least common multiple of 7642085 and 2485.
53494595
Find the common denominator of -79/49824 and -13/729072.
252258912
Calculate the common denominator of -103/48124406 and 17/17499784.
192497624
Calculate the lowest common multiple of 97830 and 508716.
2543580
What is the least common multiple of 49896 and 27333?
151534152
What is the lowest common multiple of 390612 and 864?
28124064
What is the common denominator of 77/1700172 and -76/844965?
280528380
Find the common denominator of 71/3276 and -34/819729.
298381356
Find the common denominator of -41/39061 and -61/3619.
12851069
Calculate the lowest common multiple of 17893 and 16004980.
464144420
What is the common denominator of 101/3674265 and -97/150?
36742650
What is the lowest common multiple of 2407410 and 1845?
98703810
What is the common denominator of -191/36900 and 163/2276730?
22767300
What is the lowest common multiple of 1692649 and 32?
54164768
Calculate the common denominator of -11/1396 and 91/4620760.
4620760
Calculate the common denominator of -29/493368 and 23/2928.
986736
What is the least common multiple of 455 and 3601598?
18007990
What is the smallest common multiple of 32742267 and 76398623?
229195869
Find the common denominator of 25/3912 and -28/6777.
8837208
Calculate the smallest common multiple of 2408 and 231082.
6470296
Calculate the lowest common multiple of 10572 and 1908246.
3816492
What is the smallest common multiple of 132 and 800456?
26415048
Calculate the common denominator of 113/14956192 and -91/115760.
74780960
Calculate the least common multiple of 701680 and 4914.
246289680
Find the common denominator of -91/3679380 and -179/4950.
202365900
Calculate the common denominator of 37/104460 and 23/856572.
4282860
What is the lowest common multiple of 708885 and 6853?
54584145
Calculate the lowest common multiple of 13026 and 21475532.
64426596
What is the least common multiple of 341834 and 74?
12647858
What is the common denominator of 24/370405 and 1/74081?
370405
Calculate the lowest common multiple of 80693900 and 238.
80693900
Calculate the lowest common multiple of 4322 and 4837.
20905514
Calculate the common denominator of -65/27806104 and 59/632.
27806104
What is the least common multiple of 21918 and 3911622?
1099165782
Calculate the least common multiple of 772 and 61252.
11821636
What is the common denominator of 197/2584680 and 23/12923400?
12923400
Calculate the smallest common multiple of 18316 and 55195266.
110390532
What is the smallest common multiple of 126805638 and 443819733?
887639466
What is the common denominator of 3/8635 and -57/7926145?
87187595
Calculate the common denominator of -54/336385 and 50/47.
15810095
Calculate the smallest common multiple of 317239 and 40664.
43144504
What is the lowest common multiple of 235115206 and 10616?
940460824
Calculate the smallest common multiple of 221319868 and 1437142.
221319868
What is the smallest common multiple of 18105360 and 182?
18105360
What is the common denominator of 31/248200 and -95/16206?
27550200
Calculate the lowest common multiple of 428 and 11264.
1205248
What is the common denominator of 17/954228 and 23/624?
49619856
Calculate the smallest common multiple of 17180 and 94995092.
474975460
What is the smallest common multiple of 12 and 1350892?
4052676
Find the common denominator of -63/135685 and -95/6.
814110
Find the common denominator of 23/455508 and 43/7464.
283325976
Find the common denominator of -36/3857 and -28/21280171.
148961197
What is the common denominator of 117/3313210 and 65/1987926?
9939630
Find the common denominator of 11/12 and 61/1109093142.
2218186284
What is the least common multiple of 1 and 8882662?
8882662
Calculate the least common multiple of 136816 and 2402328.
81679152
Calculate the least common multiple of 4023648 and 41913.
4023648
Calculate the smallest common multiple of 2653260 and 480.
21226080
What is the smallest common multiple of 1524582 and 1185786?
10672074
What is the common denominator of 31/14390872 and -33/20750?
1798859000
What is the common denominator of -131/3540 and -69/357776?
5366640
Calculate the common denominator of -23/75 and 119/16385844.
409646100
Find the common denominator of -149/1824 and 85/1214404.
29145696
Calculate the lowest common multiple of 493 and 17648057.
511793653
What is the common denominator of -133/1104 and -9/6909152?
476731488
Calculate the lowest common multiple of 9261 and 342902.
64808478
Calculate the lowest common multiple of 378 and 625302.
13131342
What is the lowest common multiple of 48972072 and 1068?
48972072
Calculate the common denominator of -111/1779970 and 7/20056.
7119880
Calculate the common denominator of 62/121887 and 16/1305.
609435
Calculate the lowest common multiple of 27470 and 560388.
2801940
Calculate the smallest common multiple of 48166311 and 30.
481663110
What is the least common multiple of 32970671 and 11?
362677381
What is | {
"pile_set_name": "DM Mathematics"
} |
0.08?
b
Let x be 5/(20/12) - 0. Let d(k) = -k**3 + 5*k**2 - 4*k + 1. Let r be d(4). Let n = 1 + r. What is the third smallest value in n, 2/11, x?
x
Let p = 19 + -18.89. Let j = p - 0.15. Which is the third biggest value? (a) j (b) 3 (c) -0.1
c
Let m = -96 + 96. What is the fourth smallest value in -0.08, -0.2, 4, m?
4
Let m be (-2 - (-19)/6) + -1. Let t be 20/33*(-447)/(-12). Let a = t + -68/3. What is the smallest value in a, m, -1/2?
-1/2
Let n be 0/(-2) - 12/3. What is the third smallest value in n, 1, -1, 3?
1
Let s = -108 - -429/4. Let i = -10 - -20. Suppose 0 = -2*h + 3*m - 0*m - 3, 4*h = 2*m - i. Which is the second smallest value? (a) s (b) h (c) -0.3
a
Let h = 0.06 - -2.94. Which is the second biggest value? (a) 2/7 (b) h (c) 4
b
Suppose -2*n = -30 - 10. Let z = 85 + -81. Suppose 0 = g - 4*g + 4*q - n, 25 = z*g + 5*q. What is the second biggest value in -0.05, g, -3?
-0.05
Let h be 34/(-90) + 6/10. Which is the smallest value? (a) -2/11 (b) 1 (c) h
a
Let b = 0.01 - -0.19. What is the second biggest value in b, -10/11, 2/7?
b
Let i = 4.01 - 0.01. Let o be ((-6)/12)/((-6)/(-4)). Which is the second biggest value? (a) 5 (b) i (c) o
b
Let j be 4/(-6)*30/4. Which is the third smallest value? (a) 4 (b) j (c) 1/5
a
Let n = 0.04 - 0.34. Let r = 1.99 - -0.01. Let x = -2.2 + r. What is the biggest value in n, -2/7, x?
x
Let y = 10 - 5. Let s = 2 + -4. What is the smallest value in -2/7, s, y?
s
Let q = 6 + -5. Let t = q - -2. What is the third biggest value in -5, -0.2, t?
-5
Let d(l) = -l**2 + 15*l + 31. Let f be d(15). Which is the smallest value? (a) f (b) 1/4 (c) 4
b
Let o be (-5*3/(-75))/(4/(-10)). Let t = -3/28 - 1/28. What is the third biggest value in o, t, -0.1?
o
Let j = 0.03 + 2.97. What is the second smallest value in j, 5, 1, 0.2?
1
Let r = 2 + -1.8. Let x = -2/143 - 276/715. Which is the smallest value? (a) x (b) -0.2 (c) r
a
Let x = -0.31 + 2.31. Which is the third biggest value? (a) x (b) -11 (c) 0.3
b
Let q = 0.3 - 0.3. Let l = 0.5 + q. Let b = 4.6 + -5. What is the biggest value in b, -1, l?
l
Let x be 0 - ((-6)/(-10) + -1). Let z(a) = -a - 10. Let j be z(-9). Let t be 8/12 - (-1 - j). What is the second biggest value in t, 4, x?
t
Let z be (-7)/(-35) - (-676)/(-30). Let m = 22 + z. What is the second biggest value in m, 1, -0.5?
m
Let d = 25 + -20. Let p = 27/2 - 40/3. What is the third smallest value in 1, d, p?
d
Suppose -p + 4 = 3*p. Which is the biggest value? (a) -2 (b) p (c) 5
c
Let d = -1.3 + 0.4. Let t = -1.9 - d. Let s = 211 - 1473/7. What is the third smallest value in 0.4, t, s?
s
Let p = 1/4 + -3/8. Let g = 55.8 + -57.8. What is the second biggest value in p, 1/4, g?
p
Let h = -3 + 12. Suppose j - 2*k = -7, -j + k = -2*k + h. Which is the smallest value? (a) -0.3 (b) j (c) -4
c
Let q = -51 + 52. Let v be (-2)/((2/(-3))/1). Let k be ((-2)/v)/(2/(-4)). Which is the third biggest value? (a) k (b) -2 (c) q
b
Let u = 1944093/145 - 13407. Let q = u - 4/29. Which is the biggest value? (a) q (b) 2 (c) -2
b
Let h = 5.2 - 5.1. What is the smallest value in h, -2, 10?
-2
Suppose 5*r = 1 - 1. Let l be (1 - 26/16) + 1. What is the second smallest value in -0.4, l, r?
r
Let d = -24 + 20. Which is the second smallest value? (a) d (b) -2/15 (c) 1/2
b
Let k = -71 + 71.2. Which is the third smallest value? (a) k (b) -1/25 (c) 1
c
Let d = -20 - -17. Let y = -73 + 69.9. Let r = y - d. Which is the third biggest value? (a) 2 (b) 4 (c) r
c
Suppose 3*h + u - 24 = -0*u, -4*h = -3*u - 19. Let y be (-356)/36*(-1 + h). Let t = y + 60. Which is the smallest value? (a) t (b) -1 (c) 4
b
Let i = -4.1 - -0.1. What is the smallest value in 2/3, i, -1/5?
i
Let v(k) = -k**3 + 4*k**2 + 7*k - 3. Let d be v(5). Which is the biggest value? (a) 0 (b) -5 (c) d
c
Let w = 8 - 7. Suppose -4*l + 15 = 3*g, 0 = -4*l + g - 6 + w. Which is the smallest value? (a) l (b) 0.5 (c) 3
a
Let h = 991/23 - 43. What is the second smallest value in -0.5, h, -0.2?
-0.2
Let t(v) = -v**3 - 2*v**2 + 3*v - 25. Let i be t(-4). What is the second smallest value in 0.08, 0.3, i?
0.08
Let m be 2/4 + 5/(-20). Let o = 0 - 0.1. Which is the smallest value? (a) o (b) 2 (c) m
a
Let n(x) = x**3 - 10*x**2 + 9*x - 5. Let w be n(9). Which is the second biggest value? (a) w (b) -2 (c) 0
b
Let f = 28.4 + -28. What is the smallest value in 3/7, -1/2, f?
-1/2
Let z = -2 + 2. Let t = 3 + z. Which is the third smallest value? (a) 1/6 (b) 2 (c) t
c
Let m = 0.033 - -0.267. What is the biggest value in m, 2/23, 2?
2
Let z = -8 - -8. Let x = 0.41 - 0.51. What is the second smallest value in z, 0.4, x?
z
Suppose 0 = 17*o - 4*o - 26. Let h = 164/21 - 43/7. What is the biggest value in 0.1, o, h?
o
Let i = -0.3 + 5.3. Let f = -1 + i. What is the third smallest value in f, -0.4, 3?
f
Let o = -35 - -30. Which is the second smallest value? (a) -2/5 (b) -0.5 (c) o
b
Let m = 13 + -8. Let t be (-4)/(-84) + (-10)/(-35). Which is the smallest value? (a) m (b) t (c) 4
b
Let x be 2*(2 - (-3)/(-2)). Suppose 0*h + x = -h. Let p(d) = -d**3 + 4*d**2 + 4. Let l be p(4). What is the biggest value in l, -1/5, h?
l
Let d = 14.3 - 15. Let k = d + 0.2. What is the third smallest value in -4, k, -1?
k
Let j be (-3)/4 + -2 - -3. What is the second smallest value in -0.4, -0.1, j?
-0.1
Let k = -14/17 - -160/153. Let q = 0 - -1. What is the third biggest value in -1, q, k?
-1
Let d = 0.11 - -3.89. Let f = d - 4.07. Which is the second smallest value? (a) f (b) 4 (c) 0.3
c
Let r = 4.3 + -28.3. Let n = -28 - r. Let k = -0.3 + -0.2. What is the smallest value in k, -1, n?
n
Let k = 1791.478 + -1794. Let d = -0.508 + k. Let s = -0.03 - d. What is the third smallest value in -3, 2/7, s?
s
Let f = -10 - -11. Which is the second smallest value? (a) f (b) 0.3 (c) 2/7 (d) 2/5
b
Let m = 1.4 - 0.6. Let w = -0.3 + m. Which is the biggest value? (a) 1 (b) w (c) -2
a
Let l = 3.03 + -0.03. Let p = l - 3.1. What is the third smallest value in -3/2, 0.5, p?
0.5
Let z be ((-8)/70)/(4/(-10)). What is the second biggest value in 1, -2/3, z?
z
Let u = -108 - -103. Which is the third biggest value? (a) -4 (b) u (c) 2/7 (d) -2/19
a
Let f = -0.17 + -1.63. Let j = f + 2.2. Which is the third smallest value? (a) -2/5 (b) j (c) 0.1
b
Let u = -4/11 + 5/44. What is the second smallest value in 0.1, -5, u, -1/6?
u
Let k be (3/14)/((-9)/(-7)). What is the fourth smallest value in -7, 5, -1/3, k?
5
Let v(k) = k - 14. Let q be v(28). Which is the third smallest value? (a) q (b) -3 (c) 0.4 (d) 2/3
d
Let c = -22 + 15. Let x(b) = b**3 + b**2 - 2*b. Let s be x(-2). What is the third biggest value in 0.1, c, s?
c
Let i = -5 + 6. Let g = i - 3. Suppose 2 = y + 3. What is the biggest value in 0.3, y, g?
0.3
Let x = -14/3 + 59/12. Let u = -2 - -1.9. What is the second smallest value in 3, x, u?
x
Let p be ((-41)/9 + 2)*-3. Let s = 8 - p. Which is the second biggest value? (a) 1 (b) s (c) 3
a
Let l = 9/38 - -71/342. What is the second smallest value in 5, l, -0.1?
l
Let k = 0.45 + -0.05. Let h(o) = o**2 - 5*o + 1. Let p be h(3). Which is the smallest value? (a) k (b) 0 (c) p
c
Let y = -1 - 0. Let f = 0.7 + y. Suppose -2*h = h - 15. What is the second smallest value in 1/4, h, f?
1/4
Suppose 2*u = -3*u - 4*y + 5, 0 = -2*y. Let o be 2*u*(-3)/21. What is the third biggest value in 2/5, -3, o?
-3
Suppose -n - 3 = -4. Which is the second biggest value? (a) -0.2 (b) 0.3 (c) n (d) 0
b
Let p = -1 + 0.6. Let f = -4 - -2. Let w = 3.1 - 3. Which is the third biggest value? (a) f (b) w (c) p
a
Let d = 1.979 + 0.021. What is the third biggest value in 0.5, 0, d, 8?
0.5
Let h be 20/15 + 5/30 + -2. What is the third biggest value in -2, h, -0.05?
-2
Let g = -3.5 - -3. Let w = -9 + 7.9. Let j = w + -2.9. Which is the second biggest value? (a) 3/7 (b) j (c) g
c
Let c = 3.89 - -0.11. Let r = -117/2 + 57. What is the second biggest value in r, c, 0.3?
0.3
Suppose -b = 5 + 3. Let r = b - -13. What is the biggest value in r, -2, 4?
r
Let p = 0.19 - 0.59. Which is the biggest value? (a) p (b) 7 (c) 2
b
Let f = 0.09 - 2.09. Let n = -0.04 - 0.02. Let c = n - 2.94. What is the smallest value in c, 5, f?
c
Let m = -0.89 + -0.11. Let u = 459 - 7801/17. What is the smallest valu | {
"pile_set_name": "DM Mathematics"
} |
/13, 0, -1/3, -0.01, 2/3, -23, 3?
2/3
Which is the biggest value? (a) 0.3 (b) 1/1404 (c) -241 (d) -3 (e) 0.5 (f) -1/3
e
Which is the second biggest value? (a) 0 (b) -110 (c) -23186
b
What is the second biggest value in -283054/17, 0, -41?
-41
Which is the third smallest value? (a) -60398 (b) 5 (c) -6.1
b
What is the third biggest value in 1, -4201.92, 0.4?
-4201.92
What is the sixth smallest value in 43, -1/7, 5, 2, 49/23, 24/65?
43
What is the fifth smallest value in 105865, 6.5, -3, 1/6, -4, -2?
6.5
What is the fourth biggest value in -2/9, -1.9, 0.0208, 3/38?
-1.9
Which is the third smallest value? (a) -5 (b) 7.94 (c) -1/154 (d) -8 (e) 2 (f) -1/9
f
Which is the second biggest value? (a) -323 (b) -173 (c) -18 (d) 0.01 (e) 5
d
Which is the third biggest value? (a) -1.321 (b) 239 (c) 2
a
What is the smallest value in 0.04, -13, 4/13, 178, 0.1?
-13
Which is the fifth biggest value? (a) -10 (b) 5/4 (c) -28 (d) 3.2 (e) 0 (f) 27
a
Which is the second smallest value? (a) -1 (b) 21 (c) 24 (d) -0.1884 (e) -3 (f) 3
a
What is the fifth smallest value in -0.4, 5, -0.5, 3309/2, -0.3, 7?
7
What is the seventh biggest value in -1, 0.4, -0.2, -5, -2, -51/58, -0.01?
-5
What is the third biggest value in -4, 0.3, -5, -254, -864, 6?
-4
Which is the third smallest value? (a) -1/4 (b) 3/40 (c) 2/7 (d) -2/11 (e) 0 (f) 4 (g) -3/7
d
Which is the biggest value? (a) -22/3 (b) -3/5 (c) 21/8 (d) -5 (e) -4
c
Which is the third smallest value? (a) 1.07 (b) 12.5 (c) 19
c
Which is the fourth biggest value? (a) -2 (b) 5 (c) 14 (d) -401 (e) 2/9 (f) 3
e
Which is the second smallest value? (a) -7 (b) 2844.3 (c) 12
c
What is the fourth biggest value in 0, -535, 4, -61, -7/4?
-61
What is the fourth smallest value in -1, 5, 0.1, -281, -4, 4/29, 0.4?
0.1
What is the third biggest value in -8, -28, -1501, 5/2, 1/2, -3?
-3
What is the second biggest value in 454.76, -1, 3, -3/5, -2/23, -1/2?
3
Which is the second smallest value? (a) 1/59 (b) 22 (c) -1/6 (d) -24 (e) -2/5
e
What is the sixth biggest value in -2807, -3, -5, 12, -0.2, 0.09?
-2807
Which is the second biggest value? (a) 35 (b) -2 (c) 3 (d) 91 (e) 0.1 (f) 0.552
a
What is the sixth smallest value in 4, 2/13, -5, -0.30958, -5/6, 0.05, -0.1?
2/13
What is the third biggest value in 0.4, 410646, -0.232?
-0.232
Which is the fifth biggest value? (a) 13 (b) 2/7 (c) -2/5 (d) 3/7 (e) -0.2 (f) 12/73
e
What is the second biggest value in 2844/37, -0.27, -1?
-0.27
What is the second biggest value in 4/7, -154, -2/3, -5, -5/6, -4/5, 604?
4/7
Which is the second biggest value? (a) 6 (b) 2/3 (c) 1248 (d) -0.026 (e) 2/13
a
What is the fifth smallest value in 73, -2, 9, -1/6, -1/380?
73
What is the third smallest value in 24, -4/1629, 0.15?
24
Which is the fifth smallest value? (a) 1 (b) -2 (c) 2 (d) 0.4 (e) -38065 (f) -0.5
a
What is the second smallest value in -6, 156, 33?
33
What is the fourth biggest value in -0.07, -9, 16729, 2, -1.8?
-1.8
Which is the third smallest value? (a) -61/447 (b) -4/17 (c) 1/5
c
What is the smallest value in -3, 1/4, -10234, -4, -0.07, 0.1?
-10234
Which is the fourth biggest value? (a) -0.3 (b) 53 (c) 615/7 (d) 0.053 (e) -5
a
Which is the third smallest value? (a) 2.3 (b) -360/7 (c) 6 (d) 63 (e) 4
e
Which is the third smallest value? (a) -1 (b) -2 (c) -0.21 (d) -254.985
a
Which is the fifth biggest value? (a) 0.1 (b) -0.4 (c) 2.4 (d) -15 (e) 5/119
d
What is the fourth smallest value in -2/11, 1036, 13.9, -4, 3/5?
13.9
What is the third biggest value in -0.84, -92/11, 63?
-92/11
Which is the biggest value? (a) 5 (b) 21/145 (c) -11.6 (d) 4
a
What is the sixth smallest value in -2, -1, 0.2, -6/83, 0, -12.1, 0.3?
0.2
Which is the fifth smallest value? (a) -3/13 (b) 2 (c) 33/13 (d) 0.16 (e) 0.1 (f) -3
b
Which is the third biggest value? (a) -2/5 (b) 342 (c) 920/13
a
What is the smallest value in -7, 0.5, -0.5, -4.0096?
-7
What is the third biggest value in 0, 519.1, -2, -2/9?
-2/9
What is the second smallest value in -2, -3, 7, -13.5512, -0.08?
-3
What is the third smallest value in 17, -5, 0.3, 10, 3/8, -1531, -0.5?
-0.5
What is the second smallest value in 15, 18, 458, -0.4, 0.7, 0.1?
0.1
Which is the smallest value? (a) 5.36 (b) 25 (c) 3190/7
a
Which is the fifth biggest value? (a) -0.2 (b) 0.3 (c) 5 (d) -0.267 (e) 3/997
d
What is the second biggest value in 44811, -0.04, 130?
130
What is the smallest value in 5, 2/5, 2.237023?
2/5
What is the fourth smallest value in 12, -3, 2/5, -29660, -4/9, 3?
2/5
Which is the second smallest value? (a) 0.2 (b) 2 (c) 12 (d) 2/283 (e) 40
a
Which is the fourth smallest value? (a) -12 (b) -2/9 (c) -7314.7 (d) -23/4
b
What is the second smallest value in 0.3, -1/4, 0.2, -1.19, 1117, 3?
-1/4
Which is the smallest value? (a) 4 (b) -0.5 (c) -0.2 (d) -15 (e) -1/6 (f) -5.7 (g) -1/3
d
What is the smallest value in -724, 307, -85/4, 2/17?
-724
Which is the fourth smallest value? (a) 0 (b) 2 (c) 7954 (d) 1 (e) -0.3 (f) 0.4
d
What is the third smallest value in 0.2, -472/3, 109, 1, 28?
1
Which is the third smallest value? (a) -7 (b) 402/29 (c) 0 (d) -61/4
c
Which is the smallest value? (a) -0.5 (b) -7 (c) -8 (d) -0.012222 (e) -0.2 (f) -2 (g) 2
c
What is the sixth smallest value in 5, -3, -1, -1/15, 2/3, 1.3?
5
Which is the third smallest value? (a) 1 (b) -3125148 (c) 7
c
What is the biggest value in -0.1, 4841, -0.4, -2, 1/4, 32, -4/5?
4841
What is the smallest value in 0.1232, 0.39, 2.32?
0.1232
What is the fifth biggest value in 113/2, 0.5, 0.07, -6/203, 0.05, -0.3?
-6/203
Which is the fifth biggest value? (a) -63.6 (b) -1.24 (c) 0 (d) 0.2 (e) 82
a
What is the fourth biggest value in -0.02, -17, 68, -0.3, 2/33, -1.3?
-0.3
What is the second biggest value in 4, 0.1, -1255.045, -2/13, -12.9?
0.1
What is the fifth biggest value in -3, -0.5, 175, 0, -32, -21, 0.1?
-3
What is the fifth biggest value in 0.64, -63, -5, 3, 0.79?
-63
What is the third smallest value in 141/872, 3, -1.61?
3
Which is the sixth smallest value? (a) 243 (b) -3/5 (c) 2 (d) -0.3 (e) 34 (f) 58/33 (g) 5
e
Which is the second smallest value? (a) 0.0169 (b) 1544 (c) -1 (d) 2/3 (e) 6 (f) -2/9 (g) -0.1
f
What is the third biggest value in -599, -486, 5, 7/2?
-486
What is the third biggest value in 8, -28, 3/11, -2/25?
-2/25
Which is the second smallest value? (a) 0 (b) -15/139 (c) 10560
a
What is the fourth biggest value in -2, -4, -13, 0, 0.1, 706.3?
-2
Which is the fifth biggest value? (a) -0.07 (b) 2 (c) 8 (d) -55 (e) -3 (f) 0.3 (g) 0.5
a
What is the seventh smallest value in -10, 51/73, 2, -0.5, 0, 3/5, 5?
5
Which is the second biggest value? (a) -0.9 (b) 95/419 (c) 1/3 (d) -6/35
b
What is the biggest value in 1.8, -4, 0.3, -1, 4/35, -0.001, 4?
4
What is the third smallest value in 8, -2/9, 35309?
35309
Which is the third smallest value? (a) 24118652 (b) 2 (c) 0.5
a
What is the third biggest value in -15765, -56, -0.04?
-15765
What is the third smallest value in -10, -3/5, -1289675?
-3/5
Which is the smallest value? (a) -2022 (b) 3 (c) -43/16 (d) -1
a
What is the fifth biggest value in 2/67, 4, -1/6, 158027, 1/7?
-1/6
Which is the smallest value? (a) -2.3 (b) 1/4 (c) -2/35 (d) -177500 (e) 1
d
Which is the sixth smallest value? (a) 0.3 (b) -2/7 (c) -3 (d) -1/5 (e) -1/8 (f) -14264.5 (g) -0.1
g
Which is the fifth smallest value? (a) 1 (b) -360 (c) -0.4 (d) -5 (e) -237
a
Which is the third biggest value? (a) 4 (b) 1/23258 (c) -0.2 (d) 0.1
b
What is the second smallest value in 1.3, 1/3, 275, -4?
1/3
Which is the smallest value? (a) 0 (b) -1/17 (c) 32 (d) -2/5 (e) 1/4 (f) -3/7
f
Which is the third biggest value? (a) -4 (b) 1/5 (c) -5 (d) 23 (e) -0.34 (f) 7 (g) 5/11
g
What is the third biggest value in 12, -0.01, -2, 5, 2/9, 6, -14850?
5
What is the fourth biggest value in -3, 45, 1/3, -0.035, 2?
-0.035
What is the third biggest value in 0.2, 4, -29, -102, 0.02?
0.02
What is the fourth smallest value in -1.9, -0.08, -0.0075, -18?
-0.0075
Which is the smallest value? (a) -5/272 (b) -5211/4 (c) -2
b
Which is the biggest value? (a) 0.2 (b) 0 (c) -2 (d) 0.34 (e) -3 (f) 6
f
Wha | {
"pile_set_name": "DM Mathematics"
} |
n decreasing order.
392, 4, -36
Put 4, 53, -1/4, 8, 2 in descending order.
53, 8, 4, 2, -1/4
Put -2/7, -12, 17, -3 in ascending order.
-12, -3, -2/7, 17
Sort -5/4, -47/3, -0.01, -5, -0.9 in increasing order.
-47/3, -5, -5/4, -0.9, -0.01
Put 3, -6, -64/27 in descending order.
3, -64/27, -6
Put -41, 82, 2, 4, 5 in ascending order.
-41, 2, 4, 5, 82
Sort 22, 3, 2120 in descending order.
2120, 22, 3
Sort 1, -3, 5, -1247, 2 in decreasing order.
5, 2, 1, -3, -1247
Put -10932, -2, 0, -1, -3 in increasing order.
-10932, -3, -2, -1, 0
Put 1195, 2, -4, 4, -9, -6 in descending order.
1195, 4, 2, -4, -6, -9
Sort 0.4, 12.12, -5, -2/13, -1/6 in decreasing order.
12.12, 0.4, -2/13, -1/6, -5
Put 4741, 152, -2 in descending order.
4741, 152, -2
Sort -2144, 73, -3 in increasing order.
-2144, -3, 73
Sort -38, 1/13, 653.
-38, 1/13, 653
Put -5, 2, -2, 5, -180 in decreasing order.
5, 2, -2, -5, -180
Put -5, 3, 0, 74, 10 in descending order.
74, 10, 3, 0, -5
Put -7, 10281, -5, -3 in increasing order.
-7, -5, -3, 10281
Sort -0.4, -3, 0.05, 90 in ascending order.
-3, -0.4, 0.05, 90
Put -501/2, 1/4, -1.2, 0.1 in decreasing order.
1/4, 0.1, -1.2, -501/2
Sort -1/4, 4210, -1, 2, -3 in ascending order.
-3, -1, -1/4, 2, 4210
Put -5, -40, 5, 3, 0, 1731 in increasing order.
-40, -5, 0, 3, 5, 1731
Put 0, 4, 2, -317 in ascending order.
-317, 0, 2, 4
Put -15, 0.2, 2, 149/4 in ascending order.
-15, 0.2, 2, 149/4
Put -3, 84, 1, -66, -5 in decreasing order.
84, 1, -3, -5, -66
Sort -513, -3, -3/2, -2/7, -4, -0.6 in descending order.
-2/7, -0.6, -3/2, -3, -4, -513
Sort 4/7, 1, 527, 2, 0.2 in decreasing order.
527, 2, 1, 4/7, 0.2
Put 0, -284.96, -0.5, 4 in increasing order.
-284.96, -0.5, 0, 4
Sort 0.3, 4, -1815, 0.2 in decreasing order.
4, 0.3, 0.2, -1815
Put 0.016, 3, -1, 15/2, 1/326 in decreasing order.
15/2, 3, 0.016, 1/326, -1
Sort -3/5, -2/15, 1/2, -1, -3.6 in ascending order.
-3.6, -1, -3/5, -2/15, 1/2
Sort -2, -13, 398 in decreasing order.
398, -2, -13
Sort -9, 1, 9, 44 in descending order.
44, 9, 1, -9
Put -2, 4, -0.028, 167 in descending order.
167, 4, -0.028, -2
Sort 297, -4, 3, 2, 4.
-4, 2, 3, 4, 297
Sort 2, -1, -5, -15550, 0.
-15550, -5, -1, 0, 2
Put 2, 0.0225, -3, 0.5, -0.12 in increasing order.
-3, -0.12, 0.0225, 0.5, 2
Sort 0, -0.4, -2.8, 135 in decreasing order.
135, 0, -0.4, -2.8
Sort -1, 2, -59, 24, -14 in ascending order.
-59, -14, -1, 2, 24
Sort -0.6, 1/19, -0.1, -51 in decreasing order.
1/19, -0.1, -0.6, -51
Put -10, -245, -2, 21, -3 in increasing order.
-245, -10, -3, -2, 21
Put 0.8, -3, 14/75, -1, 5, -4 in ascending order.
-4, -3, -1, 14/75, 0.8, 5
Sort -21475, 1, 9, 4 in ascending order.
-21475, 1, 4, 9
Sort -8, 920, 7, -5.
-8, -5, 7, 920
Sort -258, 5, 4, 2, -0.1, 1 in descending order.
5, 4, 2, 1, -0.1, -258
Put 3, 19537, 0 in decreasing order.
19537, 3, 0
Sort -6, 27, 1, -1 in descending order.
27, 1, -1, -6
Put -28, 146, 1, 4, -5 in ascending order.
-28, -5, 1, 4, 146
Put 3/5, 4, 2/45, -0.4, 5 in decreasing order.
5, 4, 3/5, 2/45, -0.4
Sort 1/4, -2/795, 9/4, 0.1, 0.3.
-2/795, 0.1, 1/4, 0.3, 9/4
Sort 0.4, 1/55, 1, -3 in descending order.
1, 0.4, 1/55, -3
Sort -42, 0.03, -1, -3/8, 0 in decreasing order.
0.03, 0, -3/8, -1, -42
Put 34, -1, 2, -9 in increasing order.
-9, -1, 2, 34
Put 1/8, -8/5, -4, 0.041, -1/6, -3 in decreasing order.
1/8, 0.041, -1/6, -8/5, -3, -4
Sort -73, -35, -3, -318.
-318, -73, -35, -3
Sort 2127, 6, 0.
0, 6, 2127
Put 4, -1/12, 0.9, 1/6 in descending order.
4, 0.9, 1/6, -1/12
Put -0.03, 0.5, 69.1, 8, 2/7, 0 in descending order.
69.1, 8, 0.5, 2/7, 0, -0.03
Put 0.5, -3, -4, 107, 0 in descending order.
107, 0.5, 0, -3, -4
Put -13, 25, 6, -2, -5 in decreasing order.
25, 6, -2, -5, -13
Sort 1/2, -23610, -1/2, -4 in ascending order.
-23610, -4, -1/2, 1/2
Sort -0.6, 0.2, -287, -2, 5 in decreasing order.
5, 0.2, -0.6, -2, -287
Put 1415, -1, -29 in descending order.
1415, -1, -29
Sort -4, 3, 0.13, 10, 0.5.
-4, 0.13, 0.5, 3, 10
Put 5, -37, 1/8, -3 in decreasing order.
5, 1/8, -3, -37
Sort -2/419, -24, 0.8, 5, 3/8 in descending order.
5, 0.8, 3/8, -2/419, -24
Put 0, -3, -5, -1045 in ascending order.
-1045, -5, -3, 0
Sort -5, 3, 8, 4, -18460, 2 in increasing order.
-18460, -5, 2, 3, 4, 8
Put -792, 3, 153 in decreasing order.
153, 3, -792
Sort 5, -18, -4, 4 in increasing order.
-18, -4, 4, 5
Put 3, 0.01, 2, 1/4, 0.1, -40 in descending order.
3, 2, 1/4, 0.1, 0.01, -40
Sort 16.9, -6, -0.05, 4 in decreasing order.
16.9, 4, -0.05, -6
Put -1842, 1/5, -13 in descending order.
1/5, -13, -1842
Put 49, 0, -3, 2, -8 in increasing order.
-8, -3, 0, 2, 49
Sort -0.4, -4, 1/26138, -0.5 in decreasing order.
1/26138, -0.4, -0.5, -4
Sort 167, -4, 3, -29, 2, 4.
-29, -4, 2, 3, 4, 167
Sort -1.09, -0.4, 0.02 in descending order.
0.02, -0.4, -1.09
Put -3, -9, -6, -1 in increasing order.
-9, -6, -3, -1
Put 1/4, -4, -176, 1.9, -0.5 in increasing order.
-176, -4, -0.5, 1/4, 1.9
Sort 742, 3, -1/2, 2, 0, -1/4 in decreasing order.
742, 3, 2, 0, -1/4, -1/2
Sort 19, 1, -3, -4 in ascending order.
-4, -3, 1, 19
Put 0.3, 4611, -5 in increasing order.
-5, 0.3, 4611
Sort -23/4, 359, 5 in descending order.
359, 5, -23/4
Sort 14, -5, -2, 4, 5.
-5, -2, 4, 5, 14
Sort 2/15, -516.7, 1, 2 in descending order.
2, 1, 2/15, -516.7
Sort 4618, 0.17, -1/8, 12 in decreasing order.
4618, 12, 0.17, -1/8
Sort 0.2, 5, 0.437, -19 in decreasing order.
5, 0.437, 0.2, -19
Put -0.4, -1, 1, -1/3, 5, 71/5 in descending order.
71/5, 5, 1, -1/3, -0.4, -1
Sort 5, -8, 0, 16, -6 in ascending order.
-8, -6, 0, 5, 16
Put 0.3, 8/41, 262, -2/3, -3 in descending order.
262, 0.3, 8/41, -2/3, -3
Sort 2, -4, -2, -1589 in descending order.
2, -2, -4, -1589
Put -1/6, -0.4, 12.04, 2, -2/3 in descending order.
12.04, 2, -1/6, -0.4, -2/3
Put 2, 344, -12, -0.4 in increasing order.
-12, -0.4, 2, 344
Sort -2/15, 5, -1, -3, -4115/2 in increasing order.
-4115/2, -3, -1, -2/15, 5
Sort -18, -8, -59, 0 in decreasing order.
0, -8, -18, -59
Put -4, -110, -62 in ascending order.
-110, -62, -4
Put 19, 5, 311, 0, 1 in descending order.
311, 19, 5, 1, 0
Sort 4, -1650, 3, 5, -2 in increasing order.
-1650, -2, 3, 4, 5
Put -7, 453, -3 in increasing order.
-7, -3, 453
Sort 18, 1009, 6 in decreasing order.
1009, 18, 6
Sort -2/9, 0.1, 3/38.
-2/9, 3/38, 0.1
Put 0.0328227, -4/9, -5/2 in descending order.
0.0328227, -4/9, -5/2
Put 2/23, -2/5, -7, 0.06, -6 in descending order.
2/23, 0.06, -2/5, -6, -7
Put 1/2, -32, 0.3, -25 in descending order.
1/2, 0.3, -25, -32
Put 6, -2, -3, -493, -1, -5 in decreasing order.
6, -1, -2, -3, -5, -493
Put -16, -7, 4884 in decreasing order.
4884, -7, -16
Put 0, -94, -17 in descending order.
0, -17, -94
Sort -4, 27, 122, 0.
-4, 0, 27, 122
Sort -3, -2, -204, 1, -6.
-204, -6, -3, -2, 1
Put 0.4, 1150, -6, -3, 0.3, 0.1 in ascending order.
-6, -3, 0.1, 0.3, 0.4, 1150
Sort 3, 0, 100.
0, 3, 100
Sort 0, 2, 252, 4, 7 in descending order.
252, 7, 4, 2, 0
Sort -4, 1.7, -1, -15449 in descending order.
1.7, -1, -4, -15449
Sort -1088, 0.5, 2/11, -5 in increasing order.
-1088, -5, 2/11, 0.5
Sort 0.378, -1/3, -2/5, 0.1, -0.5 in descending order.
0.378, 0.1, -1/3, -2/5, -0.5
Put 3, 11, -121 in increasing order.
-121, 3, 11
Put 1, 16, 9.52 in descending order.
16, 9.52, 1
Sort 2, 44/1167, -1.
-1, 44/1167, 2
Put 5, 4, 3, -8, -140, -3 in descending order.
5, 4, 3, -3, -8, -140
Put -2/5, -518, -80 in decreasing order.
-2/5, -80, -518
Sort 515, 42, 1.
1, 42, 515
Put 0.066, -1/3, -0.032 in decreasing order.
0.066, -0.032, -1/3
Sort -679, -1, -12 in descending order.
-1, -12, -679
Sort 2/3, -0.39, 1/2, 616 in descending order.
616, 2/3, 1/2, -0.39
Put 3, 6696, -7 in decreasing order.
6696, 3, -7
Sort 5, 35, 82.
5, 35, 82
Put 2, 16, 838, -5, -2 in descending order.
838, 16, 2, -2, -5
Sort -17, 7, 43 in descending order.
43, 7, -17
Sort -17, 1, 2, -2, 4 in decreasing order.
4, 2, 1, -2, -17
Put -0.3, -1/25, 1/6, 56, 0.2 in decreasing order.
56, 0.2, 1/6, -1/25, -0.3
Sort -1, 23, 6, -2, -35, 0 in decreasing order.
23, 6, 0, -1, -2, -35
Sort 90, 6, 1, 11 in descending order.
90, 11, 6, 1
Sort 4, -1, 3, -2, 1074 in descending order.
1074, 4, 3, -1, -2
Put -550, -0.5, 9/8 in ascending order.
-550, -0.5, 9/8
Put -554570, 2, 5 in ascending order.
-554570, 2, 5
Put -3, -1, -154, 2, 0 in ascending order.
-154, -3, -1, 0, 2
Sort 5, 4, -0.1, -25833/4 i | {
"pile_set_name": "DM Mathematics"
} |
8*j**2. Let w(f) = 20*f**2 + 19*f**2 - 66*f**2 + 30*f**2. Calculate b(w(s)).
-612*s**4
Let m be 7 + (2 - -2) + -6. Let w(g) = -4*g**2 + g**2 - 3*g**2 + m*g**2. Let r(j) be the third derivative of 11*j**4/24 - 2*j**2. Calculate r(w(v)).
-11*v**2
Let n = -365 - -368. Let m(s) be the second derivative of 0*s**n + 0*s**2 + 0 + 1/6*s**4 - 2*s. Let o(w) = -w**2. Give o(m(u)).
-4*u**4
Let r(t) = -396*t**2 + 792*t**2 - 398*t**2. Let d(y) = -203*y. Give r(d(u)).
-82418*u**2
Let t(x) = -5076*x**2. Let h(c) = -36*c. Give h(t(k)).
182736*k**2
Let t(y) = 36*y**2. Let l(m) = 230581*m. What is t(l(n))?
1914033512196*n**2
Let o(g) = 634*g. Let d(i) = -53*i. Calculate d(o(r)).
-33602*r
Let m(i) = -7*i**2 + 0 + 0. Let c(h) = -h + 9. Let g(k) = 4*k - 30. Let a(w) = 10*c(w) + 3*g(w). Give a(m(v)).
-14*v**2
Let g(p) = -3*p + 2*p - p. Let u(l) = 14*l + 17. Let d(q) be the first derivative of -5*q**2/2 - 6*q + 4. Let k(a) = -17*d(a) - 6*u(a). Give g(k(v)).
-2*v
Let v(s) = 3*s**2. Let y(m) be the third derivative of -m**4/2 - 7*m**3/6 - 13*m**2. Let h be y(-4). Let p(t) = 2*t**2 + h - 41. Calculate p(v(k)).
18*k**4
Let f(r) = -3*r. Let k(j) = -1161450*j**2. Determine k(f(g)).
-10453050*g**2
Let k(b) be the second derivative of b**4/6 - 2*b. Let f(j) = -62*j**2 - 5*j. Let w(r) = -31*r**2 - 3*r. Let o(i) = -3*f(i) + 5*w(i). Determine o(k(s)).
124*s**4
Let h(o) = 2*o**2. Let r(c) = -c - 3. Let d(k) = -23*k + 6. Let u(x) = -d(x) - 2*r(x). Give h(u(s)).
1250*s**2
Let m(u) = 16*u. Let x(y) = -1223*y + 6. What is x(m(o))?
-19568*o + 6
Let u(z) be the first derivative of -2*z**2 + 251. Let x(q) = -16*q. Calculate u(x(v)).
64*v
Let a(y) = -2*y**2 + 19*y. Let p(x) = -4*x + 39. Determine p(a(i)).
8*i**2 - 76*i + 39
Let k(i) = 41*i**2 + 1. Let g(r) = -504*r. What is k(g(b))?
10414656*b**2 + 1
Let z(u) be the third derivative of -u**4/24 - 19*u**2. Suppose -3*v + 3 = -2*v. Let p(l) = -v*l**2 + 0*l**2 - 5*l**2. What is p(z(d))?
-8*d**2
Let r(p) = p**2 - 12*p - 24. Let w be r(14). Let g(l) = w*l**2 + 232*l - 232*l. Let z(b) = -5*b. Determine z(g(j)).
-20*j**2
Let d(k) be the first derivative of 2*k**3/3 - 2. Let m(r) = -99*r**2 + 54. Let b(v) = 4*v**2 - 2. Let x(o) = -27*b(o) - m(o). Determine x(d(t)).
-36*t**4
Let j(m) = 20*m**2. Let b(w) = 28 - 63 + 35 + w**2. Let k(c) = -44*b(c) + 2*j(c). Let l(t) = -6*t. Give l(k(v)).
24*v**2
Let m(u) = -13486*u - 1. Let b(z) = 2*z**2. Calculate m(b(d)).
-26972*d**2 - 1
Let j(m) be the second derivative of 5*m**3/6 + 2*m + 1. Let w(x) = -x**2. Give j(w(b)).
-5*b**2
Let h(f) be the third derivative of f**4/12 - 413*f**2. Let s(u) = -2*u + 14. What is h(s(b))?
-4*b + 28
Let g(b) = -2*b**2. Let f(x) be the first derivative of -572*x**3/3 - 89. Determine g(f(i)).
-654368*i**4
Let f(b) = 2*b. Let r = -10 - -16. Let v(h) be the first derivative of 7*h**2 - 1 + 1 - r. Calculate v(f(w)).
28*w
Let w(l) = 27336*l**2. Let q(j) = 2*j**2. Calculate w(q(f)).
109344*f**4
Let y(h) be the first derivative of 1 + 0*h + 3/2*h**2. Let b(f) = 2*f + f + 5*f - 10*f. Calculate b(y(v)).
-6*v
Let l(v) = 46*v - 6. Let f(j) = -9*j + 1. Suppose 11*i + 0*i + 242 = 0. Let x(g) = i*f(g) - 4*l(g). Let z(n) = n. What is x(z(r))?
14*r + 2
Let g(y) = 41*y. Let c(z) = -14*z. Let b(v) = 8*c(v) + 3*g(v). Let t(d) = -22*d + 53*d - 29*d. Calculate b(t(p)).
22*p
Let v(k) = -k**2 - 19*k. Let j(s) = -499*s + 1. Determine j(v(n)).
499*n**2 + 9481*n + 1
Let i(p) = 5*p**2. Let c(q) = -q**2 - 24*q + 40. Let s be c(-25). Let x(a) = -11*a**2 - 6*a**2 + s*a**2. What is x(i(b))?
-50*b**4
Let o(f) = f**3 + 10*f**2 + 23*f + 16. Let a be o(-7). Let y(t) = 6*t**2 + 7*t**2 - 4*t**a - 5*t**2. Let k(v) = 2*v. Calculate k(y(g)).
8*g**2
Let f(q) = -2*q. Let k(t) = 1543804*t. Calculate k(f(n)).
-3087608*n
Let c(y) = -4567 + 4567 - 2*y**2. Let l(f) = -f. Let j = -10 + 12. Let s(k) = -3*k. Let t(q) = j*s(q) - 22*l(q). Determine c(t(h)).
-512*h**2
Let s(b) = 31*b**2. Let m(r) be the third derivative of -r**5/20 - r**2 - 46*r. Determine m(s(u)).
-2883*u**4
Let j(w) = w**2 - 6567. Let y(a) = 5*a**2. Determine j(y(l)).
25*l**4 - 6567
Let f(y) = -36*y**2 - 87*y. Let i(p) = 171*p**2. Calculate f(i(m)).
-1052676*m**4 - 14877*m**2
Let n(i) = 18*i**2 + 1. Let l(a) be the first derivative of 2*a**3/3 - 203. Give n(l(j)).
72*j**4 + 1
Suppose -4*a + 22 = -3*u - 4, -9 = -3*a - 3*u. Suppose a*i + 0 = 10. Let x(q) = -2*q**2 + 6*q**2 - i*q**2. Let n(s) = -6*s. Give n(x(t)).
-12*t**2
Let z(w) = 2*w**2 + 9*w. Let s(g) = 297*g**2 - 620*g**2 + 318*g**2. Calculate s(z(q)).
-20*q**4 - 180*q**3 - 405*q**2
Let i(s) = 9*s. Let f(x) be the second derivative of -3*x + 0 + 0*x**2 + 1/6*x**3. Give f(i(h)).
9*h
Let s(d) = 173*d + 3. Let g(l) = 59*l**2. Give g(s(y)).
1765811*y**2 + 61242*y + 531
Let m(u) = 0 + 4*u**2 + 0. Let t(l) = 12*l**2 + 21*l + 7. Let w(b) = 8*b**2 + 15*b + 5. Let d(k) = -5*t(k) + 7*w(k). Calculate d(m(z)).
-64*z**4
Let w(z) = z. Let y(f) be the first derivative of 5*f**2/2 + f + 32. Calculate y(w(x)).
5*x + 1
Let k(f) = -10*f**2. Let u(p) = -42*p. Let s(a) = 4*a. Let d(l) = 20*s(l) + 2*u(l). Determine d(k(z)).
40*z**2
Let i(v) = -v**2. Let r(g) = 12*g**2 - 4*g. Let x(k) = 84*k**2 - 27*k. Let d(m) = -27*r(m) + 4*x(m). What is i(d(y))?
-144*y**4
Let o(k) = 43130*k. Let q(i) = -i. Determine q(o(u)).
-43130*u
Let t(o) = -5*o + 2*o + 2*o. Let z = -8 - -10. Let s(r) = 7*r + r**z - 4*r - 3*r. Calculate s(t(i)).
i**2
Let r(h) be the first derivative of -h**4/12 - h + 1. Let u(b) be the first derivative of r(b). Let a(z) = -27*z + 10*z + 10*z + 10*z. Determine a(u(t)).
-3*t**2
Let l(k) = 6*k - 7. Let u(q) = 10*q - 5. Let o(z) = 5*z - 3. Let p(n) = -7*o(n) + 3*u(n). Let m(h) = -6*l(h) - 7*p(h). Let j(t) = 2*t. Calculate j(m(y)).
-2*y
Let q(d) = -2*d**2. Let l(t) = 124 - 7*t**2 - 127 - 3*t**2. Give q(l(u)).
-200*u**4 - 120*u**2 - 18
Let z(s) = -5*s**2. Suppose -3*g = 2*p - 0*p - 12, -5*p + 30 = g. Let h(m) = -4*m + p*m - 4*m. Calculate h(z(j)).
10*j**2
Let u(y) = -4*y. Let c(m) = 5*m + 6. Let o(f) = 19*f + 25. Let x(z) = 9*c(z) - 2*o(z). Determine x(u(h)).
-28*h + 4
Let t be (-20365)/(-25) - 6/10. Let o(k) = -9*k**2 + 814 - t. Let y(q) = -6*q**2. Determine y(o(x)).
-486*x**4
Let o(d) = -5*d. Let v(f) = -891*f**2 - 2*f - 2. Determine v(o(q)).
-22275*q**2 + 10*q - 2
Let k(l) be the first derivative of 7*l**2/2 + 1. Let j(c) = c. Let b(g) = -4*j(g) + k(g). Let v(y) = 13*y**2. Calculate b(v(n)).
39*n**2
Let n(p) = -50*p. Let i(a) be the second derivative of -2*a**3/3 - 2*a + 2. Calculate i(n(w)).
200*w
Let w(q) = -3*q. Let z(j) = j**3 - 6*j**2 - 8*j + 3. Let o be z(7). Let p = 23 - o. Let s(b) = p*b - 28*b + 1 - 1. Give w(s(k)).
3*k
Let b(w) = 39*w. Let d(c) = 313*c - 1. What is d(b(u))?
12207*u - 1
Let z(f) = 173*f**2. Let v(r) = -5*r**2 - 3840 + 3840. Determine z(v(n)).
4325*n**4
Let p(g) = 4*g + 15. Let x(q) = -1061*q. Determine p(x(r)).
-4244*r + 15
Let y = -41 + 44. Let t(a) = -2*a - 4*a + y*a + 2*a. Let r(p) = 22*p**2 - 3*p. Let k(u) = -45*u**2 + 7*u. Let n(v) = 3*k(v) + 7*r(v). What is n(t(g))?
19*g**2
Let j(r) = 2*r**2. Let k(v) be the third derivative of 0*v - 1/3*v**5 + 0 + 0*v**3 + 0*v**4 + 33*v**2. What is j(k(c))?
800*c**4
Let s(y) be the first derivative of y**4/6 - 15*y + 39. Let l(r) be the first derivative of s(r). Let x(i) be the first derivative of i**2 + 1. Give l(x(g)).
8*g**2
Suppose 14*a - 17*a + 87 = 0. Let t(l) = 35*l + a*l - 63*l. Let j(h) = -2*h**2 - 4*h. Let p(u) = j(u) + 4*t(u). Let i(n) = -10*n. Calculate p(i(x)).
-200*x**2
Let w(v) = -3*v**2 - 2. Let k(h) = 3*h - 270 - 263 + 533. Give k(w(t)).
-9*t**2 - 6
Let s(k) = -2*k**2 + 11 - 11. Let x(y) be the second derivative of 5/3*y**3 + 0 + 16*y + 0*y**2. What is x(s(n))?
-20*n**2
Let k(f) = 5*f. Let t(i) = 272*i - 546*i + 276*i. What is k(t(s))?
10*s
Let f(u) = -64*u**2 + 35*u**2 + 20*u**2. Let r(g) = 11 - 1 - 3*g + 1. Let m(d) = d - 4. Let l(i) = -11*m(i) - 4*r(i). Give l(f(z)).
-9*z**2
Let m(o) be the second derivative of -4*o**5/15 + 7*o**2 + 14*o. Let l(t) be the first derivative of m(t). Let q(i) = -3*i. Calculate q(l(z)).
48*z**2
Let v(o) = 3*o**2 - 79. Let g(z) = 2*z - 16. Determine g(v(a)).
6*a**2 - 174
Let c(r) = -2*r. Let x(i) = -37144*i**2. Give c(x(y)).
74288*y**2
Let u(i) = -4*i**2 + 2*i**2 - 10*i**2. Let s(p) = -9*p - 5. Let t(h) = -4 | {
"pile_set_name": "DM Mathematics"
} |
by 4?
2
Let s(y) = -y + 5. Suppose 0 = -5*v - 2*l + 25, v + 28 - 11 = 4*l. Calculate the remainder when s(v) is divided by 1.
0
Suppose -m - 2 = y - 3*m, -5*m + 20 = 5*y. Suppose y*k = -0*k + 10. Let n = k + 47. Calculate the remainder when n is divided by 18.
16
Let y = 13 - 6. Suppose v - y = -1. Let g(c) = 4*c. Calculate the remainder when g(v) is divided by 13.
11
Suppose -9 = 2*v - 5*v. Suppose v*t = r - 36, t + 3*t = -4. Calculate the remainder when r is divided by 9.
6
Let z = 1 + -3. Let v = 7 + z. Suppose -53 = -4*b - v*l, 3*b - 46 = -0*b - 5*l. What is the remainder when 13 is divided by b?
6
Let c = 25 - 8. What is the remainder when c is divided by (-3)/9 - (-32)/6?
2
Let p be (2/(-3))/((-1)/3). Suppose -p*t = -0*t + 76. Let b = -13 - t. What is the remainder when b is divided by 13?
12
Let w(f) = 6*f + 3. Suppose 5*h - 3 - 7 = 0. Calculate the remainder when -1 + 1 - -42 - -1 is divided by w(h).
13
Suppose 0 = 3*j - 62 - 145. What is the remainder when j is divided by 19?
12
Suppose 0 = 5*q + 300 + 60. What is the remainder when 11 is divided by (4/(-3))/(16/q)?
5
Let p(a) = -7 + 2 + 1 - 8*a - 4 - a**2. Calculate the remainder when p(-6) is divided by 2.
0
Suppose 2*b + 23 = 3*b. Let s = 1 - -2. Suppose -76 = -u + 3*a, 0*a = -3*u - s*a + 192. Calculate the remainder when u is divided by b.
21
Let n(v) = 2*v + 7*v**2 + 2 - 3 - 2. What is the remainder when n(2) is divided by 15?
14
Let v = 28 + 26. What is the remainder when v is divided by 14?
12
Let q(d) = -d**3 + 9*d**2 - 7*d - 8. Let s be q(8). Suppose 57 = 5*r - 3*x, 5*r + x - 41 = -s*x. What is the remainder when 25 is divided by r?
7
Suppose 5*s = -3*o + 79, -9*o + 11*o - 5*s - 36 = 0. What is the remainder when o is divided by 3?
2
Let r = -148 - -303. Suppose 0 = 2*t - 7*t + r. Calculate the remainder when 61 is divided by t.
30
Suppose 0 = h + 5*p + 7, 2*p - 7 = 5*h - 26. Suppose 0 = -t + 2 - 0. Calculate the remainder when h is divided by t.
1
Suppose 94 = 5*b + 4*v, -3*v = -2*v + 4. Calculate the remainder when b is divided by 24/(-20)*(-1 - 4).
4
Calculate the remainder when 72 is divided by (-8)/(-8) + 0 + 14.
12
Let y(g) = -g**2 + 2*g - 1. Let j be y(1). Suppose 3*h + j*h = 0. Suppose 12 = -x - 3*w, 2*x - 3*w + h*w = 21. What is the remainder when 6 is divided by x?
0
Let t be 0/((0 + -3)/3). Suppose t = 2*p - 4. Suppose -p = -j + 5. Calculate the remainder when j is divided by 4.
3
Suppose 7*g - 2*g = 30. Calculate the remainder when (3/(-3))/(3/(-21)) is divided by g/(-5)*10/(-4).
1
Suppose -8 + 4 = -b. Suppose -4 - 4 = -4*i. Suppose 5*r - i*c = c + 32, b*c = -3*r + 25. Calculate the remainder when r is divided by 3.
1
Let r(u) = -u**2 + 8*u + 3. Let q be r(8). Suppose q*i = 14 + 46. Calculate the remainder when i is divided by 7.
6
Suppose 6*t + 42 - 192 = 0. What is the remainder when 47 is divided by t?
22
What is the remainder when 30 is divided by (-11)/((-12)/3 + 3)?
8
Let i = 55 - 37. Let n = -4 + -9. Let v = i + n. What is the remainder when v is divided by 2?
1
Let q be 18/((-2)/4*-3). Let x = -7 - -21. What is the remainder when x is divided by 2/q*3*16?
6
Let y(n) = -2*n - 7 + 7. Let b be y(-1). Suppose 0 = b*q - 2*h + h - 31, -3*h - 23 = -q. Calculate the remainder when q is divided by 5.
4
Suppose -6*y - 16 = -y - 4*t, -t = -2*y - 4. Let b = 3 - y. Suppose -30 = -3*w - 2*i + 5*i, 30 = b*w + 2*i. What is the remainder when 29 is divided by w?
9
Let s be (0 + 0)*(-4)/4. Suppose 0 = 5*h - 4*f - 60, -4*h - f + 27 = -s*h. What is the remainder when 14 is divided by h?
6
Suppose -3*v = r - 3*r + 115, 0 = v + 3. Calculate the remainder when r is divided by 14.
11
Let k(m) = -2*m + 10. What is the remainder when 39 is divided by k(-5)?
19
Let q(h) = -h**3 - 9*h**2 + 9*h + 4. Let k be 0 + 2 + 12/(-1). Calculate the remainder when q(k) is divided by 8.
6
Let x(s) = -7*s**2 - 7*s - 2. Let k(q) = 13*q**2 + 13*q + 3. Let m(n) = 6*k(n) + 11*x(n). What is the remainder when 61 is divided by m(4)?
13
Let p = 126 - 99. What is the remainder when 133 is divided by p?
25
Suppose -4*r = -7*r + 3, -v = r - 12. Calculate the remainder when 42 is divided by v.
9
Suppose -3*x = 5*n + x - 6, -7 = -n + 5*x. What is the remainder when 19 is divided by (1 + 13)/n - 0?
5
Let f(z) = 8*z**2 - 2*z + 1. Let i be f(1). Let k be 0/(-2 + 1 + 2). Suppose k = -s + 26 - i. What is the remainder when 56 is divided by s?
18
Let v(g) be the second derivative of 3*g**3/2 - g**2 + 5*g. What is the remainder when 74 is divided by v(3)?
24
Let d(y) = -9*y**3 - 2*y**2 - y. What is the remainder when d(-1) is divided by 3?
2
Let y = 218 + -111. Suppose -2*g + 5*q + 25 = -y, -4*g + 264 = 4*q. Calculate the remainder when g is divided by 17.
15
Let g = -43 + 52. Calculate the remainder when 44 is divided by g.
8
Suppose 2*w = 10, 5*k = -w + 5 + 35. Calculate the remainder when 27 is divided by k.
6
Calculate the remainder when (-7)/((-21)/153) + -4 is divided by 1/(-4) + 49/4.
11
Let a(u) = u**3 + 2*u**2 - 4*u - 9. What is the remainder when 92 is divided by a(3)?
20
Suppose 159 + 13 = 4*u. Calculate the remainder when u is divided by 22.
21
Let n(j) = -j**3 - j + 6. Calculate the remainder when 23 is divided by n(0).
5
Let g(k) = -k - 2. Let a be g(-9). What is the remainder when 13 is divided by a - ((-1 - -2) + -2)?
5
Let q(b) = 3*b - 21. Calculate the remainder when 94 is divided by q(15).
22
Let b = -8 - -7. Calculate the remainder when 45 is divided by 146/6 + b/3.
21
Suppose 59 + 41 = 4*q. Calculate the remainder when 97 is divided by q.
22
Suppose -28 = -o + 21. Let i(y) = -47*y + 1. Let r be i(-1). Suppose -37 = -5*g + r. What is the remainder when o is divided by g?
15
Let j(o) = -2*o**3 + 3*o**2 + o + 4. Calculate the remainder when j(-3) is divided by 21.
19
Suppose -3*h + 28 = 2*f - 10, -4*f + h = -62. Calculate the remainder when 95 is divided by f.
15
Calculate the remainder when 50 is divided by (9/(-27))/((-2)/78).
11
Suppose 2 - 5 = -t. Suppose -f - t*f = -56. Calculate the remainder when 41 is divided by f.
13
Let l(v) = 3*v - 6. Let m(s) be the third derivative of -11*s**4/24 + s**3/3 - 9*s**2. What is the remainder when m(-4) is divided by l(6)?
10
Suppose 3*s + i - 96 = 5*i, -4*s + 128 = -4*i. Calculate the remainder when s is divided by 11.
10
Let h = -10 + 15. Suppose h*o - 10 + 50 = k, k + 4*o = -5. Calculate the remainder when -1*2 + (1 - -45) is divided by k.
14
Suppose -f + 0*f = -14. Suppose f = c + c. Calculate the remainder when c is divided by 3.
1
Let p = 6 + 5. Suppose 0 = -3*a + t + 4 + 10, 0 = -4*a - t + 7. Calculate the remainder when p is divided by a.
2
Suppose -c - 33 = -2*o - o, 0 = 4*o + 3*c - 44. Calculate the remainder when 32 is divided by o.
10
Let f(w) = -w**3 - w + 1. Let j be f(1). Let o = j + 17. What is the remainder when o is divided by 6?
4
Suppose k + 16 = 3*k. What is the remainder when 20 is divided by k?
4
What is the remainder when 63 is divided by 1/(3*(-3)/(-198))?
19
Let h(j) = j**2 + 4*j - 2. Let c = 4 - 9. Calculate the remainder when h(c) is divided by (2/(-4))/((-2)/8).
1
Suppose 2*a - 21 = -a. Calculate the remainder when 55 is divided by a.
6
Let o = -57 + 94. Calculate the remainder when o is divided by 13.
11
Let r(m) = m**2 - m + 5. Suppose o - 3*o - 10 = 0. What is the remainder when r(o) is divided by 18?
17
Let t(l) = -l**3 - l**2 + l + 4. Let f(y) = y**3 + 7*y**2 + 5*y + 4. Let r be f(-6). Let d = -3 + r. Calculate the remainder when t(-3) is divided by d.
5
Let g be (-1 - 3 - 0)/1. Let u(a) be the second derivative of a**4/12 + a**3/3 + 5*a**2/2 - a. What is the remainder when u(g) is divided by 5?
3
Suppose 4*o + 2*d - 20 = 0, d = -o - 2*d + 15. Let k = -60 - -68. Calculate the remainder when k is divided by o.
2
Let y = -69 + 35. Let h = y - -53. What is the remainder when 36 is divided by h?
17
Let c(a) = 3 - 5 - 48*a + 1. Suppose -4*j + 8*j - 64 = 0. Calculate the remainder when c(-1) is divided by j.
15
Suppose 2*w - 21 = -1. Calculate the remainder when w is divided by 4.
2
Suppose -4*o - 7*o + 209 = 0. What is the remainder when o is divided by 9?
1
Let j(x) be the second derivative of -x**4/12 + 5*x**3/3 - 5*x**2 + 5*x. Calculate the remainder when j(8) is divided by -1*(-10)/2 - 1.
2
Let g = 61 + -28. Calculate t | {
"pile_set_name": "DM Mathematics"
} |
. Let t = 118 - j. Is t composite?
False
Suppose 4*k - 2*y = 10052, 0 = 2*k - 0*y + 4*y - 5026. Is k composite?
True
Let w(h) = -96*h**3 + 2*h**2 + 2*h + 1. Let x(a) = -a**2 + 3*a - 3. Suppose 3*k = 8 + 1, -k = -2*o + 1. Let n be x(o). Is w(n) a composite number?
False
Let h = 8 - 5. Suppose -2*d - 51 = -h*d. Is d composite?
True
Let t be -6 + (1 - -1)*-1. Suppose 0 = 2*j + 2*w - 16, -3*w - w = 0. Is 78/j - 2/t prime?
False
Suppose -10 = -5*d - 3*l, d - 2*l - 10 = -4*d. Suppose -1 = 4*u - 9. Suppose 0*k = k + d*z - 1, -u*k + 3*z + 37 = 0. Is k a composite number?
False
Let t be (2/6)/((-3)/(-99)). Let g = 26 - t. Is ((-26)/6)/((-1)/g) a composite number?
True
Suppose 0 = -5*k + 2*y + 437, -3*y - 26 = k - 127. Is k + -3 - 9/3 composite?
False
Suppose -3668 + 18 = -5*j. Suppose -4*w + j = -2*c, 3*w + 0*c - 565 = -2*c. Is w a composite number?
True
Let y(i) = 7*i**3 + 12*i**2 - 9*i + 6. Let s(c) = 3*c**3 + 6*c**2 - 5*c + 3. Let a(m) = 5*s(m) - 2*y(m). Let q be a(-7). Is ((-42)/9)/((-2)/q) composite?
False
Let h(s) = -s**3 - 4*s**2 - s + 1. Let r be h(-5). Suppose p = -0*p + r. Is p prime?
True
Let w = 15 + -7. Let r = w + 177. Is r prime?
False
Let b(c) = 13*c**2 + 1. Let k(a) = a**3 + 10*a**2 + 9*a + 1. Let i(r) = -r - 3. Let z be i(6). Let m be k(z). Is b(m) a composite number?
True
Suppose 37 - 352 = -5*n. Suppose -n = -u + 4. Is u a prime number?
True
Let v be 8/(-12)*(-3)/2. Let n(l) = 281*l**2 + 5*l + 7. Let d(q) = 141*q**2 + 2*q + 3. Let k(b) = 7*d(b) - 3*n(b). Is k(v) composite?
True
Let y be (74/5)/((-2)/(-40)). Suppose -y = -d + 20. Suppose 0 = 2*z + 2*z - d. Is z composite?
False
Let b(s) = 0 + 3*s + 2 + 1. Is b(10) a prime number?
False
Let c(u) = u**2 + 5*u. Suppose -5*n = -5*y + 25, -3*y - 2*y = -n + 3. Let s be c(n). Suppose 2*z = 4*z - s. Is z prime?
True
Is -1*(-4987 + 4/(-2 + 4)) composite?
True
Let c(s) = s**3 - 7*s**2 + 1. Is c(8) composite?
True
Suppose 10*a = 5*a - 55. Let n = -6 + 28. Is (-2)/a - (-238)/n a prime number?
True
Let v(h) = -4*h + 1. Let x be v(-1). Let s be (-12)/x + (-4)/(-10). Is (-15 + 1)/(s/3) a prime number?
False
Let i = -78 + 409. Is i composite?
False
Let w(g) = -g**2 + 7*g + 2. Let o be w(8). Let f(p) = p**2 + 4*p - 7. Let r be f(o). Suppose 64 = r*z - i + 15, 2*z - i - 22 = 0. Is z composite?
True
Suppose 14*w - 1645 = 9*w. Is w prime?
False
Suppose 7165 = m + 4*m - 4*g, -2*m + 2883 = -5*g. Suppose -3*a = -332 - m. Is a a prime number?
True
Let j(q) = 133*q + 12. Let u be j(11). Suppose -u = -5*t - 2*l, t - 3*t + 2*l + 576 = 0. Is t composite?
False
Let n = 197 + 60. Is n composite?
False
Let q(h) = -262*h + 1. Let y = 3 - 4. Is q(y) prime?
True
Let r(n) = n**3 + 8*n**2 - 10*n - 1. Let b be r(-9). Let h = b - 3. Let o = h + 14. Is o a prime number?
True
Let w = 1 - -1. Let z(p) = 2*p**3 - p**2 - p - 1. Let j be z(w). Suppose 0 = -j*m + 4*m + 805. Is m a composite number?
True
Let g(i) = -24*i**3 + 3*i**2 + 5*i + 5. Is g(-2) prime?
True
Suppose v = 4*v - 24. Let s be (30/v)/((-1)/(-76)). Suppose 4*g = -g + s. Is g a prime number?
False
Suppose -6*n + 655 = -n. Let x(v) = v**3 - v**2 - v + 185. Let i be x(0). Suppose n = 4*k - i. Is k a prime number?
True
Suppose -5*l = -3*d + 72, -3*d + 5*l + 34 = -2*d. Is d a prime number?
True
Let p = 5 - 1. Let t be (-6)/p*24/(-9). Is (t/(-6))/(2/(-39)) a composite number?
False
Let w(l) = l**3 - 6*l**2 + 7*l - 7. Let p be w(5). Suppose g - 18 = 4*a, p*g - 3*a = -0*g + 36. Is g prime?
False
Let k be (-1)/2*-1*12. Let v(b) = 2*b - 1. Is v(k) prime?
True
Let u = 691 - 472. Is u a prime number?
False
Suppose -3*l - 15 = 0, -2*m - 1223 = -6*m - l. Is m prime?
True
Let z be (-75)/(-3) + (0 - -2). Suppose z = 5*k - 238. Is k a prime number?
True
Suppose 5*k + 104 = 489. Is k a composite number?
True
Let m(j) = 54*j**2 + j - 3. Is m(-2) composite?
False
Let n(s) be the first derivative of 9*s**2 + 5*s + 2. Let w = -3 + 8. Is n(w) composite?
True
Suppose -1044 = -3*j + 1335. Is j composite?
True
Suppose 0 = -4*j - 20, 4*j - 386 = 4*v - 1346. Is v a composite number?
True
Let h be 2/(-8) + 4/16. Is h + ((-790)/2)/(-1) a composite number?
True
Suppose 15*k = 11*k + 40. Is k composite?
True
Suppose -937 = 3*a - 4432. Is a composite?
True
Let m = 450 - 240. Let x be 4/(-18) + m/(-27). Is (-2)/(-4) + (-148)/x prime?
True
Let k(m) = -m**3 - 1 + 0 - m + 10*m**2 - 9*m**2. Suppose -j = 2*j + 6. Is k(j) prime?
True
Let i = 3045 - 1222. Is i composite?
False
Suppose o + 12564 = 5*s, 7541 = 3*s + 3*o - o. Is s composite?
True
Let l be 396*(3/4)/1. Suppose 0 = -2*y + l - 75. Is y a prime number?
False
Let m(k) = 7*k**2 + k - 2. Let l be m(1). Is ((-2)/(-3))/(l/585) a prime number?
False
Suppose -2*m - 150 = -572. Is m composite?
False
Let i(m) = m**3 - 9*m**2 + 8*m + 7. Is i(12) composite?
True
Let l be 204/20 + (-2)/10. Let q = 15 + l. Suppose -q + 5 = -5*j - 5*h, -26 = -2*j + 4*h. Is j prime?
True
Suppose 5*s = 5, 5*s - 10 = -3*p + 7. Let u(k) = 2*k**3 - 4*k**2 + 3*k + 2. Let x be u(3). Suppose -p*r + x = 1. Is r composite?
False
Let n be 3/(-2)*(-1284)/18. Let u = n + -52. Is u a composite number?
True
Let r = 3774 - 2015. Is r a prime number?
True
Let u be (1 - -1)*1*-94. Let q be (-3)/(1/(u/6)). Suppose 94 = 4*t - q. Is t a composite number?
False
Suppose n = -0*n. Let d = n + 5. Suppose m = d, 2*x - 376 = -x + m. Is x a prime number?
True
Is 2862/15 - (-6 - (-29)/5) prime?
True
Let q(u) = u**2 - 6*u + 10. Let f be q(4). Suppose -f*j + 149 = -j. Is j prime?
True
Let i(c) = 2*c**3 - 8*c**2 + 4*c - 3. Suppose -11 = -4*o - 3*j, -2*o - 9 = -5*o - 2*j. Is i(o) prime?
True
Is (-21618)/(-15) + (-1)/5 a prime number?
False
Let x(b) = 3*b**2 - 4*b + 5. Suppose 4*o - a = -1 - 45, 4 = -o + 4*a. Is x(o) a composite number?
True
Let n = 5 + -11. Let w(r) = -7*r + 6*r + 7 - 6*r**2 - r**3 + 0*r. Is w(n) composite?
False
Suppose 8*u - 3*u - 75 = 0. Is u composite?
True
Let u(i) = -i**3 + 11*i**2 - i + 8. Let p(r) = r**3 + 12*r**2 + 11. Let j be p(-12). Let a be u(j). Is (-1 - a)/(10/355) composite?
False
Suppose 13*g - 10*g - 1833 = 0. Is g composite?
True
Let f = 1018 + 2575. Is f prime?
True
Is (-1348)/(4/2)*13/(-26) prime?
True
Let v(a) = a**3 - 3*a**2 + 4*a - 3. Let h be v(2). Let b(t) = 5*t - 3 - h - 2 + 4*t**2. Is b(5) a composite number?
True
Let h = 7 - 3. Suppose h*p = 192 + 196. Is p a composite number?
False
Let a = 2231 + -1182. Is a prime?
True
Let w(x) = 2*x - 2 - 3*x + 191*x**3 + 3. Let j be w(1). Let i = 324 - j. Is i a composite number?
True
Suppose 9539 = 5*s + 1624. Is s prime?
True
Suppose -4 = -w - 1. Suppose -4*m + 27 = w. Is 1342/m + 2/(-3) a composite number?
False
Let c = 1169 + -522. Is c a composite number?
False
Let n = -2111 + 3093. Is n composite?
True
Suppose 240 = 2*u - 178. Is u a composite number?
True
Let v(g) = g + 3. Let w be v(8). Suppose -2*q = -3*q + w. Is q a prime number?
True
Let i(m) = m**3 - m**2 - m + 235. Let a be i(0). Suppose -f + a = 5*z - 0*z, -5*z + 235 = 3*f. Is z prime?
True
Is (-4 + -1)/(2*(-2)/28) prime?
False
Let f(l) = 23*l - 1. Suppose 2 + 6 = 4*r. Let g be f(r). Suppose 0 = 2*v + 5*w - g, 0 = 3*v + 3*w - 47 - 25. Is v a composite number?
True
Suppose 1 = 2*s - 3. Suppose -15 + 37 = s*m. Suppose 4*n - 17 = m. Is n composite?
False
Suppose -663 = 4*i - 1723. Is i a composite number?
True
Let i(o) be the first derivative of 32*o**3/3 - o**2 - o - 2. Is i(-1) a prime number?
False
Let s = -1021 + 2436. Suppose -2*m = 3*m - s. Let f = m - 198. Is f a prime number?
False
Suppose 5*k = 7*j - 2*j + 25, -3*k - 5*j = 25. Suppose 5*t + 64 - 364 = k. Suppose 2*q - 5*u = -0*q + t, 0 = 3*q + u - 73. Is q prime?
False
Suppose -4 = 3*q - 4*q. Suppose -3*f - 5*r = -277, -5*f - q*r + 255 = -198. Is f a composite number?
False
Let r be 1 + 1 + (-6 - -6). Is 17 - (r - (-1 + 1)) prime?
False
Let u(f) = f**2 - 3*f. Suppose 4*c + 9 = i + 5*c, 3*c - 31 = -4*i. Let n be u(i). Suppose 0 = 2*h - n*w - 94, -5*w = 5*h - 145 - 15. Is h prime?
True
Let a = 73 + -52. Let i(w) = w**3 + 6*w**2. Let p be i(-6). Suppose c + p*c = a. Is c a prime number?
False
Let g be ((-14)/(-6))/((-3)/(-9)). Suppose 0 = 3*f - g*f + 72. Suppose f + 5 = l. Is l prime?
True
Suppose 4*b - b = 33. Is b/((-3)/(-21) - 0) a composite number?
True
Suppose 4*o + 6*j = 3*j + 115, -116 = -4*o - | {
"pile_set_name": "DM Mathematics"
} |
und 27179000 to the nearest 100000.
27200000
Round -56.14 to the nearest integer.
-56
What is -0.0000017031 rounded to 7 dps?
-0.0000017
What is -0.0003366 rounded to 5 decimal places?
-0.00034
Round 2.1453 to one decimal place.
2.1
Round -98416 to the nearest 1000.
-98000
What is 28060 rounded to the nearest ten thousand?
30000
Round 382400 to the nearest 10000.
380000
Round 0.0023581 to five decimal places.
0.00236
Round -0.0004713 to 5 dps.
-0.00047
Round -0.00046407 to five dps.
-0.00046
What is -0.09538 rounded to 3 decimal places?
-0.095
Round 49000 to the nearest 100000.
0
Round 4875300 to the nearest 10000.
4880000
What is 0.0000112031 rounded to six dps?
0.000011
What is 1.1934 rounded to 1 dp?
1.2
Round -0.000000132 to seven dps.
-0.0000001
Round 0.4055 to three dps.
0.406
What is -15680000 rounded to the nearest one million?
-16000000
What is -6865 rounded to the nearest one hundred?
-6900
Round 0.000020899 to four dps.
0
What is -700300 rounded to the nearest one hundred thousand?
-700000
Round 0.003397 to four decimal places.
0.0034
What is 0.02932 rounded to 3 dps?
0.029
Round -140810 to the nearest ten thousand.
-140000
Round -3025 to the nearest one thousand.
-3000
Round -0.0042317 to five decimal places.
-0.00423
What is -70500000 rounded to the nearest one million?
-71000000
Round 455800 to the nearest ten thousand.
460000
What is -2.563 rounded to one decimal place?
-2.6
Round -0.00255323 to 4 decimal places.
-0.0026
Round -0.6745 to 1 decimal place.
-0.7
What is -0.0071229 rounded to 3 dps?
-0.007
What is 66600 rounded to the nearest 1000?
67000
What is -0.15231 rounded to 2 dps?
-0.15
What is 0.00014928 rounded to four dps?
0.0001
Round -7692.92 to the nearest one thousand.
-8000
Round -0.00000174 to 7 dps.
-0.0000017
What is -16120 rounded to the nearest 1000?
-16000
Round 0.011681 to 3 decimal places.
0.012
What is -1.3553 rounded to the nearest integer?
-1
Round -0.0000887 to 6 decimal places.
-0.000089
Round -383800 to the nearest ten thousand.
-380000
Round -93060 to the nearest 10000.
-90000
What is 30077 rounded to the nearest one thousand?
30000
Round -144920000 to the nearest one million.
-145000000
What is 0.00991 rounded to 4 decimal places?
0.0099
What is -0.3529 rounded to two dps?
-0.35
What is -345.8 rounded to the nearest one hundred?
-300
What is 5.4171 rounded to the nearest integer?
5
What is -0.00000518 rounded to 6 decimal places?
-0.000005
What is 15.549 rounded to zero decimal places?
16
Round -0.00000104978 to seven dps.
-0.000001
What is 0.002879 rounded to 5 dps?
0.00288
What is 0.0985 rounded to two decimal places?
0.1
Round 4.51825 to one decimal place.
4.5
What is -0.00111831 rounded to 4 decimal places?
-0.0011
Round 0.0029073 to 5 decimal places.
0.00291
Round 4.3463 to zero decimal places.
4
What is -2.403 rounded to one dp?
-2.4
What is -0.006426 rounded to 4 decimal places?
-0.0064
Round -889 to the nearest 10.
-890
Round 1121.9 to the nearest 100.
1100
Round 3173600 to the nearest ten thousand.
3170000
What is 1070600 rounded to the nearest ten thousand?
1070000
What is 14288900 rounded to the nearest 100000?
14300000
What is -14105.8 rounded to the nearest one thousand?
-14000
Round -491740 to the nearest 100000.
-500000
Round -36783000 to the nearest one million.
-37000000
Round 17800 to the nearest ten thousand.
20000
Round -0.0000360012 to seven dps.
-0.000036
What is -513700 rounded to the nearest 10000?
-510000
Round -12.001 to the nearest integer.
-12
Round 282.59 to zero decimal places.
283
Round -872 to the nearest 1000.
-1000
Round -0.002386 to 4 dps.
-0.0024
Round 15250000 to the nearest one million.
15000000
Round 687270000 to the nearest one million.
687000000
Round -1.76299 to 1 dp.
-1.8
What is 0.003136 rounded to four dps?
0.0031
What is 131.721 rounded to the nearest integer?
132
Round 53600 to the nearest one hundred thousand.
100000
What is -61790 rounded to the nearest 1000?
-62000
Round 320000 to the nearest ten thousand.
320000
Round 0.29549 to one dp.
0.3
What is -73630 rounded to the nearest ten thousand?
-70000
Round -0.00069346 to six decimal places.
-0.000693
Round -0.000014258 to 7 dps.
-0.0000143
What is 0.00000034247 rounded to seven decimal places?
0.0000003
Round -0.0000233826 to seven decimal places.
-0.0000234
Round -137760 to the nearest 1000.
-138000
What is -35110 rounded to the nearest 1000?
-35000
Round 113.46 to the nearest 10.
110
Round 26980 to the nearest one thousand.
27000
Round -0.00012467 to 5 decimal places.
-0.00012
Round 280788 to the nearest one thousand.
281000
What is 863.2 rounded to the nearest one hundred?
900
Round 0.000001863 to 7 dps.
0.0000019
Round -292.1 to the nearest one hundred.
-300
What is -0.0033192 rounded to four dps?
-0.0033
Round 0.01736 to three decimal places.
0.017
Round 16979 to the nearest 1000.
17000
What is 8010 rounded to the nearest 1000?
8000
Round 0.237 to 2 dps.
0.24
What is 14525.3 rounded to the nearest 1000?
15000
What is 30100 rounded to the nearest ten thousand?
30000
Round -6.3682 to zero dps.
-6
Round -116.54 to zero decimal places.
-117
What is -0.000000515 rounded to seven decimal places?
-0.0000005
Round 107100 to the nearest 1000.
107000
Round -908.2 to the nearest 10.
-910
Round -0.3952 to 1 decimal place.
-0.4
What is -33148.2 rounded to the nearest 100?
-33100
What is -592600 rounded to the nearest 10000?
-590000
Round -145719 to the nearest 1000.
-146000
What is 0.000007804 rounded to seven dps?
0.0000078
What is 1869.66 rounded to the nearest 100?
1900
Round -38.91 to 0 decimal places.
-39
What is 182.69 rounded to the nearest ten?
180
Round -0.402 to two dps.
-0.4
What is 41250 rounded to the nearest one thousand?
41000
Round -2.4414 to the nearest integer.
-2
What is -0.00029057 rounded to six decimal places?
-0.000291
Round -5000000 to the nearest one million.
-5000000
What is 40126 rounded to the nearest one hundred?
40100
What is 96.9 rounded to the nearest 10?
100
What is 0.0000007534 rounded to seven decimal places?
0.0000008
Round 0.041727 to two decimal places.
0.04
What is 25619000 rounded to the nearest one hundred thousand?
25600000
What is -13450000 rounded to the nearest 1000000?
-13000000
What is 0.000048752 rounded to 5 dps?
0.00005
Round 812 to the nearest 100.
800
What is 0.1418 rounded to two dps?
0.14
What is -0.000032647 rounded to 6 decimal places?
-0.000033
What is 8330 rounded to the nearest one hundred?
8300
Round -7633000 to the nearest one hundred thousand.
-7600000
Round 78616000 to the nearest 1000000.
79000000
Round 0.002981 to four dps.
0.003
What is 4951000 rounded to the nearest one million?
5000000
What is 0.0278846 rounded to three decimal places?
0.028
What is 1.551 rounded to 2 dps?
1.55
Round 0.002367 to four dps.
0.0024
What is -0.12832 rounded to three dps?
-0.128
What is 0.0000038272 rounded to 6 decimal places?
0.000004
Round 243.3 to the nearest one hundred.
200
Round -0.00053 to 4 dps.
-0.0005
What is 883800 rounded to the nearest ten thousand?
880000
What is 51151 rounded to the nearest 1000?
51000
What is -0.0003137 rounded to 5 dps?
-0.00031
Round 151360000 to the nearest one million.
151000000
What is 1673 rounded to the nearest ten?
1670
What is -0.0000017371 rounded to 6 decimal places?
-0.000002
What is 0.004829 rounded to three dps?
0.005
Round 45.347 to 1 decimal place.
45.3
What is -6393.1 rounded to the nearest one hundred?
-6400
Round 0.00026025 to five decimal places.
0.00026
Round -0.00021055 to 5 dps.
-0.00021
Round 0.00000533 to six decimal places.
0.000005
Round -0.0000339 to 5 decimal places.
-0.00003
Round -15420 to the nearest 1000.
-15000
What is 0.0000001146 rounded to 7 decimal places?
0.0000001
What is -0.0384211 rounded to three decimal places?
-0.038
What is -0.00003912 rounded to six dps?
-0.000039
What is -0.00010889 rounded to 6 decimal places?
-0.000109
Round 0.0004403 to 4 dps.
0.0004
What is -0.00000347199 rounded to six dps?
-0.000003
What is -0.003198 rounded to 4 dps?
-0.0032
What is 49651400 rounded to the nearest one hundred thousand?
49700000
What is 0.000001597 rounded to six decimal places?
0.000002
What is 2020000 rounded to the nearest one hundred thousand?
2000000
Round 0.020276 to 3 decimal places.
| {
"pile_set_name": "DM Mathematics"
} |
*b**3/7 - 12052*b**2/7 - 2481648*b/7 - 40908816/7 = 0.
-26, 123
Let -3*q**4 + 47*q**3 - 29*q**2 - 15*q = 0. Calculate q.
-1/3, 0, 1, 15
Factor -4*c**2/7 + 64*c/7.
-4*c*(c - 16)/7
Find y such that -5*y**5 - 25*y**4 - 45*y**3 - 35*y**2 - 10*y = 0.
-2, -1, 0
Factor -g**2/5 - 366*g/5 - 33489/5.
-(g + 183)**2/5
Factor -m**2/2 + 142*m + 286.
-(m - 286)*(m + 2)/2
Suppose 2*f**2/9 + 1808*f/3 + 408608 = 0. Calculate f.
-1356
Find r, given that -4*r**5 - 80*r**4 - 88*r**3 + 3120*r**2 - 6084*r = 0.
-13, 0, 3
Solve 2*n**2/11 + 16*n/11 - 6 = 0 for n.
-11, 3
Suppose 3*k**4/8 + 3*k**3/2 - 6*k - 6 = 0. What is k?
-2, 2
Determine k, given that -k**3/6 + 29*k**2/3 - 368*k/3 + 448 = 0.
8, 42
Factor -4*q**4 + 4*q**3 + 12*q**2 - 4*q - 8.
-4*(q - 2)*(q - 1)*(q + 1)**2
Factor s**3 + 576*s**2 + 110592*s + 7077888.
(s + 192)**3
Solve -2*m**4 + 30*m**3 + 292*m**2 - 3864*m - 8624 = 0 for m.
-11, -2, 14
Factor g**5/5 + 23*g**4/5 + 114*g**3/5 + 212*g**2/5 + 136*g/5.
g*(g + 2)**3*(g + 17)/5
Let -2*w**2/3 + 132*w - 6534 = 0. What is w?
99
Factor 3*b**3 - 18*b**2 - 21*b.
3*b*(b - 7)*(b + 1)
Factor 2*k**5 + 6*k**4 - 2*k**3 - 6*k**2.
2*k**2*(k - 1)*(k + 1)*(k + 3)
Factor 2*i**3/21 + 118*i**2/7 + 6962*i/7 + 410758/21.
2*(i + 59)**3/21
Factor 2*g**3/3 - 1430*g**2 + 766122*g + 2302658/3.
2*(g - 1073)**2*(g + 1)/3
Solve 125*v**5 - 3900*v**4 + 26560*v**3 - 28208*v**2 + 10800*v - 1408 = 0.
2/5, 8, 22
Let -c**4 - 2*c**3 + 8*c**2 = 0. Calculate c.
-4, 0, 2
Solve -10*f**3 + 406*f**2 + 2984*f + 1128 = 0.
-6, -2/5, 47
Find g such that 6*g**5 + 167*g**4/5 + 191*g**3/5 - 123*g**2/5 - 9*g/5 = 0.
-3, -1/15, 0, 1/2
Solve -2*t**3/7 - 2*t**2 - 8*t/7 + 24/7 = 0 for t.
-6, -2, 1
Let -t**3/3 + 25*t**2 - 584*t/3 - 220 = 0. What is t?
-1, 10, 66
Suppose -8*c**5/5 - 2*c**4/5 + 192*c**3/5 - 464*c**2/5 + 256*c/5 + 96/5 = 0. Calculate c.
-6, -1/4, 2
Factor 3*c**2 + 294*c - 297.
3*(c - 1)*(c + 99)
Factor -36*a**5/5 + 4656*a**4/5 - 201241*a**3/5 + 585789*a**2 - 959631*a/5 + 79507/5.
-(a - 43)**3*(6*a - 1)**2/5
What is n in 4*n**3/5 + 24*n**2/5 - 12*n + 32/5 = 0?
-8, 1
What is t in t**3/4 - 21*t**2/4 - 45*t/4 - 23/4 = 0?
-1, 23
Let -y**4 + 80*y**3 - 526*y**2 + 1104*y - 657 = 0. Calculate y.
1, 3, 73
Suppose j**5/8 + j**4/4 - 7*j**3/4 + j**2 + 13*j/8 - 5/4 = 0. What is j?
-5, -1, 1, 2
Solve c**5/10 + 2*c**4/5 - 21*c**3/10 = 0.
-7, 0, 3
Determine v so that -6*v**4/11 - 78*v**3/11 - 24*v**2 - 192*v/11 = 0.
-8, -4, -1, 0
What is p in -3*p**2 - 1956*p - 318828 = 0?
-326
Solve 8*z**3 - 188*z**2 + 185*z/2 - 23/2 = 0 for z.
1/4, 23
Let -x**3 + 3*x**2 - 2*x = 0. What is x?
0, 1, 2
Factor 5*b**2 - 2470*b + 2465.
5*(b - 493)*(b - 1)
Solve -2*j**3/3 + 70*j**2/3 - 122*j + 174 = 0.
3, 29
Determine d so that d**2/4 + 2087*d/4 - 522 = 0.
-2088, 1
Factor -4*m**2 - 60*m + 400.
-4*(m - 5)*(m + 20)
Solve -v**4 + 12*v**3 - 21*v**2 + 10*v = 0.
0, 1, 10
Find f such that -3*f**4 + 36*f**3 - 138*f**2 + 180*f - 75 = 0.
1, 5
Factor 3*y**2/7 - 24*y/7 + 3.
3*(y - 7)*(y - 1)/7
What is q in -2*q**4/5 + 808*q**3/5 - 804*q**2/5 - 808*q/5 + 806/5 = 0?
-1, 1, 403
Factor 5*b**5/2 - 19*b**4 + 37*b**3 - 22*b**2 - 7*b/2 + 5.
(b - 5)*(b - 1)**3*(5*b + 2)/2
Factor 2*l**3 + 24*l**2 - 26*l.
2*l*(l - 1)*(l + 13)
Find v, given that -5*v**3 + 725*v**2 - 32375*v + 459375 = 0.
35, 75
Factor 4*y**4 - 28*y**3 - 12*y**2 + 76*y + 56.
4*(y - 7)*(y - 2)*(y + 1)**2
Factor 2*z**3/5 + 82*z**2/5 + 704*z/5 - 2904/5.
2*(z - 3)*(z + 22)**2/5
Determine m so that -576*m**5 - 5856*m**4 + 3068*m**3 + 113528*m**2 + 18844*m + 784 = 0.
-7, -1/12, 4
Suppose -15*z**4 - 99*z**3 - 24*z**2 + 396*z + 336 = 0. What is z?
-28/5, -2, -1, 2
Factor -3*v**3 + 150*v**2 + 1989*v - 127764.
-3*(v - 39)**2*(v + 28)
Factor 2*x**4/21 + 1016*x**3/21 + 124904*x**2/21 - 349504*x/7 + 710016/7.
2*(x - 4)**2*(x + 258)**2/21
What is y in -3*y**4/5 + 1614*y**3/5 - 218691*y**2/5 + 432552*y/5 - 215472/5 = 0?
1, 268
Factor -2*j**2/9 + 1340*j/9 - 224450/9.
-2*(j - 335)**2/9
Suppose 5*y**5/6 + 125*y**4/3 + 520*y**3 - 125*y**2/3 - 3125*y/6 = 0. Calculate y.
-25, -1, 0, 1
Find c, given that -c**2/4 + 9*c/4 - 9/2 = 0.
3, 6
Factor -40*s**2/17 + 202*s/17 - 10/17.
-2*(s - 5)*(20*s - 1)/17
Determine o, given that 2*o**2/7 + 134*o/7 = 0.
-67, 0
Factor -x**4 - 2114*x**3 - 1115133*x**2 + 2236612*x - 1119364.
-(x - 1)**2*(x + 1058)**2
Factor -4*n**2/5 + 2192*n/5 - 300304/5.
-4*(n - 274)**2/5
Let -4*m**4 - 41*m**3 - 62*m**2 + 83*m + 24 = 0. What is m?
-8, -3, -1/4, 1
What is b in 2*b**4 + 11*b**3 + 19*b**2 + 13*b + 3 = 0?
-3, -1, -1/2
Determine z so that -2*z**2 + 634*z - 1884 = 0.
3, 314
Factor 3*q**3 + 102*q**2 + 480*q - 7200.
3*(q - 6)*(q + 20)**2
Solve -18*d**5/5 - 4*d**4/5 + 54*d**3/5 - 24*d**2/5 - 8*d/5 = 0 for d.
-2, -2/9, 0, 1
Factor 5*k**2 - 2960*k + 438080.
5*(k - 296)**2
Find d such that 3*d**2 + 143*d/3 - 170/3 = 0.
-17, 10/9
Suppose -4*h**2 - 168*h = 0. Calculate h.
-42, 0
Factor -q**2 - 20*q - 36.
-(q + 2)*(q + 18)
Suppose 3*r**3 + 75*r**2 - 246*r + 168 = 0. Calculate r.
-28, 1, 2
Factor 50*y**3 - 4730*y**2 - 31808*y - 51712.
2*(y - 101)*(5*y + 16)**2
Factor 3*m**3 - 360*m**2 - 741*m + 1098.
3*(m - 122)*(m - 1)*(m + 3)
Solve -2*l**2/7 + 246*l/7 + 248/7 = 0.
-1, 124
Factor j**5/4 - 573*j**4/4 + 1143*j**3/4 - 571*j**2/4.
j**2*(j - 571)*(j - 1)**2/4
Factor r**4 + 26*r**3 + 204*r**2 + 504*r.
r*(r + 6)**2*(r + 14)
Determine s, given that s**3/2 - 72*s**2 + 810*s - 2376 = 0.
6, 132
Let 24*t**5/17 + 8*t**4 - 1018*t**3/17 + 260*t**2/17 + 400*t/17 = 0. Calculate t.
-10, -1/2, 0, 5/6, 4
Factor z**2/3 + 834*z.
z*(z + 2502)/3
Solve 2*o**4/7 = 0 for o.
0
Factor 2*b**4/3 - 4*b**3 + 44*b/3 + 10.
2*(b - 5)*(b - 3)*(b + 1)**2/3
Factor 5*u**3 - 95*u**2 + 540*u - 900.
5*(u - 10)*(u - 6)*(u - 3)
Factor 4*j**4 - 12*j**3 - 132*j**2 + 220*j + 1200.
4*(j - 5)**2*(j + 3)*(j + 4)
Solve 2*p**3 + 62*p**2 - 274*p + 210 = 0.
-35, 1, 3
Find t, given that -50*t**4 + 415*t**3 - 920*t**2 + 240*t = 0.
0, 3/10, 4
Determine z, given that z**3 + 1415*z**2/3 - 158*z - 944/3 = 0.
-472, -2/3, 1
Factor 4*n**5 - 220*n**4 - 456*n**3 - 8*n**2 + 452*n + 228.
4*(n - 57)*(n - 1)*(n + 1)**3
Suppose -y**2 - 7*y/3 - 4/3 = 0. Calculate y.
-4/3, -1
Let -39*n**4/2 - 79*n**3/2 - n**2 = 0. What is n?
-2, -1/39, 0
Factor -16*d**4 - 68*d**3 - 108*d**2 - 76*d - 20.
-4*(d + 1)**3*(4*d + 5)
Suppose 3*k**4/5 + 117*k**3/5 + 1521*k**2/5 + 6591*k/5 = 0. What is k?
-13, 0
Factor -9*i**2 - 136*i - 15.
-(i + 15)*(9*i + 1)
Solve -2*g**5/3 + 10*g**4/3 - 4*g**3/3 - 16*g**2/3 = 0.
-1, 0, 2, 4
Suppose 2*x**2/15 + 52*x/5 + 1014/5 = 0. Calculate x.
-39
Factor -m**3 - 5*m**2 - 4*m.
-m*(m + 1)*(m + 4)
Factor 2*y**4 - 220*y**3 + 7226*y**2 - 64680*y + 172872.
2*(y - 49)**2*(y - 6)**2
Factor -4*o**2 + 44*o + 504.
-4*(o - 18)*(o + 7)
Find a such that 4*a**2 + 3224*a - 6464 = 0.
-808, 2
Factor 2*k**5 + 6*k**4 - 44*k**3 - 148*k**2 - 150*k - 50.
2*(k - 5)*(k + 1)**3*(k + 5)
Factor -2*n**3 + 1460*n**2 - 266450*n.
-2*n*(n - 365)**2
Factor -3*h**2 + 3288*h - 900912.
-3*(h - 548)**2
Solve 5*g**3 + 190*g**2 + 1405*g + 2900 = 0.
-29, -5, -4
Factor 5*a**3 + 6370*a**2 - 19145*a + 12770.
5*(a - 2)*(a - 1)*(a + 1277)
Suppose -n**3/7 + 4*n**2/7 + 12*n/7 = 0. Calculate n.
-2, 0, 6
Factor -3*k**4 + 21*k**3 - 45*k**2 + 27*k.
-3*k*(k - 3)**2*(k - 1)
Find w, given that 2*w**3 + 398*w**2 + 19998*w + 19602 = 0.
-99, -1
Factor 5*d**4 + 30*d**3 + 55*d**2 + 30*d.
5*d*(d + 1)*(d + 2)*(d + 3)
Factor o**4/4 + 5*o**3/4 - 6*o**2.
o**2*(o - 3)*(o + 8)/4
Factor -n**2/4 - 97*n/2 - 9409/4.
-(n + 97)**2/4
Find a, given that -4*a**4/7 + 72*a**3/7 - 236*a**2/7 + 24*a = 0.
0, 1, 3, 14
Suppose 3*r**3/4 - 549*r**2/4 + 1089*r/4 - 543/4 = 0. What is r?
1, 181
Factor d**2/3 - 53*d - 160/3.
(d - 160)*(d + 1)/3
Factor -j**3/3 + 7*j/3 + 2.
-(j - 3)*(j + 1)*(j + 2)/3
Factor 2*t**5 - 124*t**4 + 1008*t**3 - 2916*t**2 + 2862*t.
2*t*(t - 53)*(t - 3)**3
Factor -l**5/3 + 4*l**4 - 15*l**3 + 50*l**2/3.
-l**2*(l - 5)**2*(l - 2)/3
Suppose 3*s**2 - 108*s = 0. What is s?
0, 36
Solve -3*l**3/4 - 13*l**2/2 + 83*l/4 + 33/2 = 0 for l.
-11, -2/3, 3
Let -3*c**5/8 + 15*c**4/8 + 21*c**3/8 - 15*c**2/8 - 9*c/4 = 0. Calculate c.
-1, 0, 1, 6
Factor -t**3 - 873*t**2 - 872*t.
-t*(t + 1)*(t + 872)
Factor -2*q**2/5 - 84*q/5 + 176/5.
-2*(q - 2)*(q + 44)/5
What is f in 3*f**5/7 + 15*f**4/7 + 24*f**3/7 + 12*f**2/7 = 0?
-2, -1, 0
Suppose -135*i**4 + 75* | {
"pile_set_name": "DM Mathematics"
} |
What is the value of (480/(-5280)*8/(-4))/((-25)/(-11))?
2/25
Calculate ((-144)/57)/(726/(-18392)).
64
(15192/(-9495))/((-84)/(-45))
-6/7
What is 402/(-4)*(-960)/1440?
67
((-25)/(-3))/((2/(-8))/((-288)/(-384)))
-25
Evaluate 12*(-30)/100*(1470/18)/(-7).
42
Evaluate (-1)/(70/(-6))*8810/37002.
1/49
Evaluate 6/4*(-2)/(-3)*411/((-2508333)/1795).
-5/17
((35/(-4))/(4175/(-13360)))/(30/5)
14/3
Evaluate (330/(-275))/((3/(-5)*(-25)/10)/(-1)).
4/5
Calculate (-11)/(-1)*10476/25608.
9/2
Evaluate (-6)/5*1*5*(-2201264)/(-338656).
-39
Calculate (472530/22383)/((-2)/9).
-95
Evaluate ((-24)/(-10))/((32/(73440/81))/(2/(-2))).
-68
What is (-6640)/(-1162)*(-1260)/(-450)?
16
What is the value of ((-165)/(-44))/((-4446)/456)?
-5/13
What is -11*(-13)/((-455)/28)*700/(-2520)?
22/9
What is the value of (105469/(-546))/(-61)*(-18)/1?
-57
What is (((-9504)/330)/12)/(((-20)/40)/(2/(-6)))?
-8/5
What is the value of 3/(-11)*2490/415?
-18/11
Evaluate 68*29/13804*(-9)/(-6).
3/14
(13/1924)/(123/246)
1/74
((-18)/(-2))/(5586/(-40964))
-66
(((-42)/70)/((-2)/70))/((-23)/((-184)/96))
7/4
((-21)/(-12))/1*1146/(-17381)
-3/26
What is ((-3111)/(-122))/((-27)/3)?
-17/6
What is ((-2)/7)/(34/((-17136)/360)*(-6)/(-10))?
2/3
Calculate (((-3)/(-15))/(28/175))/((-212)/4240).
-25
What is (74/(-185))/((2450/(-5500))/(-49))?
-44
What is (-2024)/(-552)*2/(-1)*(-210)/20?
77
What is the value of 3*68/(-45)*525/(-70)?
34
Evaluate (82*-1)/((1940/(-1358))/((-5)/(-7))).
41
What is (42/(-140))/(-255*26/(-520))?
-2/85
Calculate ((-35)/126*3)/(-26*(-20)/1040).
-5/3
(4663/9326)/(3/(-378))
-63
(-5)/((-10)/(-112))*(-17870)/(-14296)
-70
What is -159*((-4)/(-42))/((31/((-6944)/(-64)))/(-2))?
106
What is (-25)/((-10625)/175)*(-2)/(-21)*42/(-14)?
-2/17
Evaluate (49248/16)/(-18)*(-33)/1485.
19/5
Evaluate ((-284)/(-213))/((-96)/2520).
-35
Calculate (468/(-144))/((-4)/480*-10).
-39
What is the value of 1/(2*3/(-6))*160/5680?
-2/71
What is (44/(-30))/((-14322)/(-13020))?
-4/3
Calculate ((-645)/860)/((-3)/212).
53
91/(-4)*(-5768)/2678
49
1540/4125*15*5/3
28/3
(-4895)/(-5874)*(928/20)/(-4)
-29/3
Evaluate (-24)/15*(-278)/((-2907324)/(-1245)).
4/21
Calculate (1/(-2))/(3863/309040).
-40
Evaluate ((-29161)/(-10604))/(484/(-32)).
-2/11
((-3890)/(-4668))/(2/(-24))
-10
What is ((-24)/(-16))/(-22*(-72)/43296)?
41
Evaluate ((10/4)/(925/(-2220)*6/(-10)))/26.
5/13
What is the value of (12833/(-1252))/(4/(-16)*1)?
41
Evaluate ((280/5040)/((-1)/(-45)))/(4/88*-1).
-55
What is (27/50)/((-101799)/(-45244))?
6/25
Calculate ((-8568)/(-340))/((-372)/620).
-42
Calculate (2/6)/(((-264)/(-11))/1368).
19
((-703)/4218)/(944/(-192))
2/59
What is the value of (-18)/(-64)*(-115)/(4830/56)?
-3/8
(20/6*1/(-14))/(((-11310)/117)/58)
1/7
What is ((-2)/4*1)/((-69)/((-9522)/345))?
-1/5
What is (-9)/1*(-13)/(1092/(-140))?
-15
Evaluate (-235*(-144)/360)/2.
47
What is the value of 76583/(-3562)*(-5)/15*(-6)/(-1)?
43
Calculate (90/15)/(354/1357).
23
(-29)/((-1450)/90)*55/(-121)
-9/11
(((-9)/6)/((-36)/2))/(((-144)/(-567))/(-8))
-21/8
What is the value of (((-240)/18)/5)/(((-2050)/(-861))/((-1)/(-7)))?
-4/25
Calculate 2/(((-2)/(-20))/(152/160)).
19
(3/74*8/30)/((-1882)/(-4705))
1/37
Evaluate ((-486)/405*(-10)/6)/((-8)/84).
-21
Calculate (2*14/456)/((-25410)/(-32670)).
3/38
Calculate (21/(-63)*31*9/((-9)/(-3)))/1.
-31
(-60)/6*(-47)/((-4935)/(-14))*6
8
Calculate 1122/(-44)*(-20)/(-15).
-34
Evaluate (504/(-357))/24*8*(-204)/5664.
1/59
What is the value of ((-12)/((-216)/(-90)))/((-85)/(-68))*15/2?
-30
Calculate ((-798)/342)/(((-56)/(-96))/(-7)).
28
Calculate (4/30)/((-408)/(-11322)*4/8).
37/5
Evaluate (-27)/9*(-2)/(-12)*984/42.
-82/7
Evaluate (((-416)/(-488))/13)/((36/(-81))/(2/3)).
-6/61
Evaluate (-264)/(-12)*5*10/(-50).
-22
Calculate ((405/(-1350))/(3/8))/(2/115).
-46
Evaluate (-1)/(2340/14625*1/4).
-25
What is (-28)/(-12)*(-132)/(-2079)?
4/27
What is -20*(2*15/70)/((-40)/(-112))?
-24
What is (((-21)/(-45))/(7770/(-2664)))/(1/(-80))?
64/5
Evaluate 5/15*(-192)/(-208)*2/8.
1/13
What is the value of (-19)/(((-3780)/45)/(-420))?
-95
What is the value of (22/((-484)/77)*(-84)/(-49))/((-6)/14)?
14
(9/(-15))/((648/(-2970))/12)
33
What is the value of -7*96/1120*(-10)/36*-4*-9?
6
What is (5742/4263)/(-33)*(70/4)/(-1)?
5/7
What is (-64)/(2688/(-63))*624/(-18)?
-52
Evaluate (-63*(-30)/(-3780))/(1/70).
-35
Evaluate (43*(-1938)/6579)/((-2)/(-3)).
-19
What is (((-10292)/1411)/(-62))/(13/17)?
2/13
Calculate 14778/12315*15*3/(-9)*(-19)/(-7).
-114/7
What is the value of (10/(-35)*1)/((-4027)/(-366457))?
-26
Calculate (247/(6916/(-168)))/(-12).
1/2
465*366/(-13725)*(-5)/1
62
What is (7865/143)/(-55)*7/(21/(-120))?
40
Evaluate (341/4191)/(3069/(-594)).
-2/127
What is ((-145)/261)/(4/(36/15))*3/37?
-1/37
((-93)/(-248))/(9/(-948))*4/2
-79
What is (-6)/(-5)*68575/(-57603)?
-10/7
(-1)/(49/(-21658)*-17)*(8/18)/2
-52/9
What is (1/(-25)*((-1210)/(-33))/(-22))/(285/(-38))?
-2/225
What is the value of ((-17)/(-34))/(112/448)?
2
Evaluate (-519)/1384*(-5)/(-165)*-4.
1/22
Evaluate (2*(-375)/24*(-60)/90)/5.
25/6
(-9)/3*1/12*(-1260)/(-225)
-7/5
What is (-567)/(-54)*24/198?
14/11
What is (-60)/(-80)*-28*32/1232?
-6/11
Evaluate (369954/(-153))/31*15/10.
-117
6/(133/(453264/(-288)))
-71
What is the value of ((-31)/((-217)/(-18))*(-77)/44)/((-33)/(-572))?
78
What is the value of -6*(6*11/220)/(93/2945)?
-57
Evaluate 1/((4/(-4))/(17/85))*(-60)/(-30).
-2/5
What is the value of ((-693)/(-35728))/((-24)/192)*(-16)/18?
4/29
(-9)/(-1)*15043/19341
7
Evaluate ((2/(-33))/((-4)/44))/((-954)/54).
-2/53
((-188)/470)/(36/1710)
-19
Calculate ((-3880)/776)/(4/240*3).
-100
What is -8*(3690/(-840))/(14/(-147))*(-4)/12?
123
(-220)/1496*-34*(-8)/(-20)*19
38
Evaluate (-1143)/(-508)*(-11)/(-22)*-56.
-63
-5*(-1)/((-4)/(136/357*3))
-10/7
What is the value of (-748)/(-136)*(-8692)/583?
-82
((-31)/((-4743)/18))/(14/(-714)*-69)
2/23
What is ((-1)/(-2))/(61/915*3/(-4))?
-10
Calculate 13/((-364)/(-248))*46/((-9016)/(-2058)).
93
What is the value of 12221/(-24442)*-4*(-1)/73?
-2/73
Evaluate (36/(-324))/(30/405)*2/(-22).
3/22
What is the value of ((-27)/(-24))/(-43*513/(-294120))?
15
Calculate (((-12)/(-5)*-1)/(1584/(-160)))/((-110)/(-33)).
4/55
What is the value of (-1612)/9424*19*1236/(-26)*2/(-3)?
-103
What is 17/(510/(-3120))*(-6)/((-84)/14)?
-104
Evaluate (12/(-5))/((-50)/2125*(-714)/84).
-12
Calculate (-5*(32/140)/(216/252))/(2/(-33)).
22
What is 5/3*((-9)/(-96))/(8/(-32))?
-5/8
((-968)/22748)/(15/(-282))
4/5
What is ((-11508)/24660)/(2*(-2)/(-10))*-30?
35
What is the value of ((-4)/360)/((1/4)/((-70)/140))*12?
4/15
Evaluate ((105/378)/(10/56))/(390/(-1755)).
-7
Evaluate 54/(-3)*((-672)/28)/384.
9/8
Evaluate ((-3)/4)/(((-198)/(-60))/(-11))*3654/145.
63
What is the value of (-1345)/(-1076)*(-14)/((-560)/(-18))?
-9/16
Calculate (2/(-312))/((-1159)/20862).
3/26
Calculate (-804)/54672*(-187)/132.
1/48
Evaluate (-8)/6*7/(42/(-40))*(-55440)/5600.
-88
What is the value of ((6/8)/((-114)/(-152)))/((-2)/18)?
-9
((-770)/(-33)*1)/(160/384)
56
((-53184)/4986)/(2/(-9))
48
What is the value of 1*(-71)/(170897/(-58))?
2/83
What is 4/(63*424/2385)?
5/14
Evaluate (-90)/(-1200)*10*21/280*8/(-9).
-1/20
What is the value of (1420/(-10650))/((-7)/1890)?
36
What is the value of 20/(-30)*-354*(-7)/28?
-59
Evaluate ((-2808)/466830)/((-4)/38).
2/35
Evaluate ((-66)/(-88))/(19398/(-976)).
-2/53
((-89)/(-267))/(((108/6)/(-9))/90)
-15
Calculate ((648/513)/1)/4*209/253.
6/23
What is (-15)/154*(-7258)/(-54435)?
-1/77
Evaluate (((-10)/(-18))/(10/12))/(569/1707).
2
Evaluate 1204/24*105/245*(-6)/12*4.
-43
What is the value of 81/(-12)*400/(-11250)*-15?
-18/5
7/((-35)/(-15))*(9/(-72))/1
-3/8
What is the value of (-96*(-3)/(-27))/2?
-16/3
Evaluate 186/(35340/141550)*2/10.
149
Evaluate (((-1)/(-1))/(-2))/((-12643)/986154).
39
Calculate (-23)/(-69)*45/(-18)*-1*4/2.
5/3
What is (117/819*(6/(-2))/1)/(35/(-35))?
3/7
What is (16/(-40))/(((-25)/1250)/(24/(-10)))?
-48
Calculate 266/(-2)*(((-117)/54)/13)/((-52)/312).
-133
What is the value of ((-9)/(225/(-20)))/(((-36)/96)/((-1305)/116))?
24
What is the value of ((2/6)/((-392)/252))/((756/180)/7)?
-5/14
((-33)/45)/((-36)/84*(-238)/(-612))
22/5
Evaluate (5/((-400)/(-24)))/1*130/(-52).
-3/4
What is the value of (16/(-2758))/(((-161204)/1337)/211)?
2/197
Evaluate ((-560)/(-840))/(((-82)/4)/(11*12/264)).
-2/1 | {
"pile_set_name": "DM Mathematics"
} |
2/3, 0.3 in decreasing order.
403, 2/3, 0.3
Put -4, 67, -3, 5 in descending order.
67, 5, -3, -4
Put -0.2, -5, 13, 1/11 in decreasing order.
13, 1/11, -0.2, -5
Sort -2/27, 0.1, -0.4 in increasing order.
-0.4, -2/27, 0.1
Sort 5, -6, -2/5, 51.
-6, -2/5, 5, 51
Sort -4, 3, -67.
-67, -4, 3
Sort -3, 259, -2 in ascending order.
-3, -2, 259
Sort -1, 13, -0.5, -4/13 in ascending order.
-1, -0.5, -4/13, 13
Put 7, -5, -1, 14 in increasing order.
-5, -1, 7, 14
Put -3, 52, 4 in decreasing order.
52, 4, -3
Sort 0.45, -2, 7, 2/13.
-2, 2/13, 0.45, 7
Sort 1/26, -0.13, -1.
-1, -0.13, 1/26
Sort -10, 1, -5, -12 in descending order.
1, -5, -10, -12
Sort 1, -7, -4, 4.
-7, -4, 1, 4
Sort -4, -1411, -1.
-1411, -4, -1
Put -1, 49, -5 in decreasing order.
49, -1, -5
Sort -5, 1/7, -1/6, -0.06 in descending order.
1/7, -0.06, -1/6, -5
Sort -17, -13, 0, 2.
-17, -13, 0, 2
Sort 4, 1, 1/4, 1/3, 15 in ascending order.
1/4, 1/3, 1, 4, 15
Put -5, -80, -3 in ascending order.
-80, -5, -3
Put 0, -5, 2262, 5 in decreasing order.
2262, 5, 0, -5
Sort 15, 1, 61 in ascending order.
1, 15, 61
Put -67, -4, 3, 0, 4 in ascending order.
-67, -4, 0, 3, 4
Sort 4, -1, -0.025, -4/3 in increasing order.
-4/3, -1, -0.025, 4
Sort -0.3, 182, -1/2.
-1/2, -0.3, 182
Sort -4, 12, -2.
-4, -2, 12
Put 3, 597/2, -4/5, -0.5 in descending order.
597/2, 3, -0.5, -4/5
Put -5, 106, -4, 2 in increasing order.
-5, -4, 2, 106
Put 0.1, 0.09, 1/11, -1, 2 in ascending order.
-1, 0.09, 1/11, 0.1, 2
Sort -5, 3, 9, -3, -4 in ascending order.
-5, -4, -3, 3, 9
Sort 1, 13, -2, -3 in decreasing order.
13, 1, -2, -3
Put -3, -0.9, 4 in decreasing order.
4, -0.9, -3
Put 3, -100, 4 in descending order.
4, 3, -100
Sort 4, 2, -4, 1/18, -1/2 in decreasing order.
4, 2, 1/18, -1/2, -4
Put 0, -4, 32 in decreasing order.
32, 0, -4
Sort -3, -866.5, 4/5, -0.2.
-866.5, -3, -0.2, 4/5
Put -382, 22, 1 in decreasing order.
22, 1, -382
Put -11, -1, -7, 1 in descending order.
1, -1, -7, -11
Put 2/7, -1, 10 in descending order.
10, 2/7, -1
Put -2, -12, -45 in decreasing order.
-2, -12, -45
Put 1.97, 4, 3/7 in decreasing order.
4, 1.97, 3/7
Put -2/11, -1/6, -3, -0.4, -15.1 in decreasing order.
-1/6, -2/11, -0.4, -3, -15.1
Sort -3, -4, 18, -1 in decreasing order.
18, -1, -3, -4
Put 5, 41, 4, -5, 1 in descending order.
41, 5, 4, 1, -5
Sort -7, 1/4, 5.
-7, 1/4, 5
Sort 22, 7, 2/3 in ascending order.
2/3, 7, 22
Put 3, 0, 30/13, -0.3, 5/6 in decreasing order.
3, 30/13, 5/6, 0, -0.3
Sort -101, -0.5, -10.8, 3.
-101, -10.8, -0.5, 3
Sort -3, 2/15, 403 in descending order.
403, 2/15, -3
Sort -5, 105, 1.
-5, 1, 105
Sort 5, 3, 10.
3, 5, 10
Sort 0.1, -1/21, 1/2, -21/4, -2 in ascending order.
-21/4, -2, -1/21, 0.1, 1/2
Put 42, 2, -19 in descending order.
42, 2, -19
Sort 0, -2/11, 4.1.
-2/11, 0, 4.1
Put -2, -6, -5/2 in descending order.
-2, -5/2, -6
Sort 0.03, 0.3, -0.4, 0.04.
-0.4, 0.03, 0.04, 0.3
Put 0.3, -1, 0, -2/11 in ascending order.
-1, -2/11, 0, 0.3
Put -8, -14, 1/10, -0.2 in decreasing order.
1/10, -0.2, -8, -14
Sort 68, 1, -3 in descending order.
68, 1, -3
Put 7/8, 4, -4/5, 0.4 in decreasing order.
4, 7/8, 0.4, -4/5
Put 3, 5, -54 in decreasing order.
5, 3, -54
Sort 3, 0, 329, 8 in decreasing order.
329, 8, 3, 0
Put -5, -1/4, 3, -3 in increasing order.
-5, -3, -1/4, 3
Sort -0.4, -4/15, -3, 5 in increasing order.
-3, -0.4, -4/15, 5
Put -5, -11, 1 in decreasing order.
1, -5, -11
Sort 5, 1, -25, 33 in decreasing order.
33, 5, 1, -25
Put 3, -16, 1 in descending order.
3, 1, -16
Sort 0.2, -0.4, 83/3, -3 in ascending order.
-3, -0.4, 0.2, 83/3
Put -5, 5, -325 in ascending order.
-325, -5, 5
Put -3, 294, 1 in descending order.
294, 1, -3
Put 4, 2, -4, 5, -35 in increasing order.
-35, -4, 2, 4, 5
Sort 0, 5, -4, -2, -5 in descending order.
5, 0, -2, -4, -5
Sort 1/21, 6.8, -3, -2 in decreasing order.
6.8, 1/21, -2, -3
Sort 0, -5, -2, 5 in descending order.
5, 0, -2, -5
Sort -9, 2, 1 in decreasing order.
2, 1, -9
Put -80, 9, -2 in decreasing order.
9, -2, -80
Sort -0.9, 1, -23 in increasing order.
-23, -0.9, 1
Sort 5, -1/2, 0.1, -0.2 in descending order.
5, 0.1, -0.2, -1/2
Sort 4, 11, -2, 0 in increasing order.
-2, 0, 4, 11
Put 5, -194, 3, 1 in decreasing order.
5, 3, 1, -194
Sort 5, -5, -31 in increasing order.
-31, -5, 5
Put 0, -29, 26 in ascending order.
-29, 0, 26
Sort -7, 4, 9 in descending order.
9, 4, -7
Put -2, 16, 7 in decreasing order.
16, 7, -2
Put 2, -1/7, 0.1, 0 in ascending order.
-1/7, 0, 0.1, 2
Put -0.04, -2, -3, -1/5 in ascending order.
-3, -2, -1/5, -0.04
Sort -2, -7, -4, -6, 2 in increasing order.
-7, -6, -4, -2, 2
Sort 0, -58, 3, 1.
-58, 0, 1, 3
Put -3, -330, 1 in decreasing order.
1, -3, -330
Put 28, 3, -5, -4 in decreasing order.
28, 3, -4, -5
Sort 24, 1, -9, 4/7 in descending order.
24, 1, 4/7, -9
Sort 1, 5, 1259 in decreasing order.
1259, 5, 1
Put -0.4, -7, 4, 5 in decreasing order.
5, 4, -0.4, -7
Sort 5, -3, 711 in decreasing order.
711, 5, -3
Sort -0.3, 1/2, -19324 in ascending order.
-19324, -0.3, 1/2
Sort -5, 4, 921 in ascending order.
-5, 4, 921
Sort -0.3, -3, -15, -5 in decreasing order.
-0.3, -3, -5, -15
Put -0.4, 3/5, -0.082 in descending order.
3/5, -0.082, -0.4
Put 0, 2, 52 in increasing order.
0, 2, 52
Sort -1/7, -2/13, 0.19, -5 in descending order.
0.19, -1/7, -2/13, -5
Sort -0.4, -1/5, -1, 2 in decreasing order.
2, -1/5, -0.4, -1
Sort -0.2, -7, -183 in descending order.
-0.2, -7, -183
Put 12, -19, -2, -4, 10 in ascending order.
-19, -4, -2, 10, 12
Sort -25, 55, 2.
-25, 2, 55
Sort 2/17, 19, 2/7, 0 in decreasing order.
19, 2/7, 2/17, 0
Sort 0.01, 8, -4, -2, 0.1 in ascending order.
-4, -2, 0.01, 0.1, 8
Sort 4, 0, 0.3, -0.5 in descending order.
4, 0.3, 0, -0.5
Sort 1, -4, -1, 2.
-4, -1, 1, 2
Sort -5, 10, 3, -1 in increasing order.
-5, -1, 3, 10
Sort 1/3, -2, -2/23, 0.29 in ascending order.
-2, -2/23, 0.29, 1/3
Put 5, -1/2, -1/7, -2/23, 30 in ascending order.
-1/2, -1/7, -2/23, 5, 30
Put -2, -361, 3 in descending order.
3, -2, -361
Sort 20, 1/7, 2/17, -3.
-3, 2/17, 1/7, 20
Put -0.03, -4.6, -0.4 in descending order.
-0.03, -0.4, -4.6
Put 8, -28, 1 in ascending order.
-28, 1, 8
Sort 5, -5, 12 in descending order.
12, 5, -5
Put 0.2, -0.09, -4/3, 2/19, -26 in decreasing order.
0.2, 2/19, -0.09, -4/3, -26
Sort 4, 2, -5, 5 in ascending order.
-5, 2, 4, 5
Put 1, 117, 20 in decreasing order.
117, 20, 1
Put 2, 30/31, -3/5 in increasing order.
-3/5, 30/31, 2
Put 5, 3/11, -3 in decreasing order.
5, 3/11, -3
Sort 2/3, -4, -1/5, -2/17, -0.1 in descending order.
2/3, -0.1, -2/17, -1/5, -4
Sort 3, 56, -4, -1 in descending order.
56, 3, -1, -4
Put 0, 54, 69, -1 in descending order.
69, 54, 0, -1
Put 1296, 0, -4, -5 in descending order.
1296, 0, -4, -5
Sort -3, -5, -1, 7 in descending order.
7, -1, -3, -5
Put -0.8, 1, -1/10, 0.1 in descending order.
1, 0.1, -1/10, -0.8
Put 5, 0, 143, 6 in decreasing order.
143, 6, 5, 0
Put 0.1, 2, -0.05 in decreasing order.
2, 0.1, -0.05
Sort 1, 0, -1, 93 in decreasing order.
93, 1, 0, -1
Sort 22, 2, 1, -7 in ascending order.
-7, 1, 2, 22
Put -5, 160, -1 in increasing order.
-5, -1, 160
Sort 1, 3/4, 145 in increasing order.
3/4, 1, 145
Put -5, -1, 17 in ascending order.
-5, -1, 17
Sort 20, 2/7, 3 in descending order.
20, 3, 2/7
Put -1.3, -126, 4 in descending order.
4, -1.3, -126
Put -1, -27, -31, 4 in ascending order.
-31, -27, -1, 4
Sort 6, 3, 0, -3, -85.
-85, -3, 0, 3, 6
Sort 3, -54, 11 in increasing order.
-54, 3, 11
Sort 1, 4, 3, -2, -143.
-143, -2, 1, 3, 4
Sort 4, -1/3354, -3/4, 2/5 in descending order.
4, 2/5, -1/3354, -3/4
Put 1, -30918, 3 in descending order.
3, 1, -30918
Put 0, -74, -5 in ascending order.
-74, -5, 0
Put -3/11, -2/5, 0.4, -2/11 in decreasing order.
0.4, -2/11, -3/11, -2/5
Sort -0.2, 0.46, -2, 1 in decreasing order.
1, 0.46, -0.2, -2
Put 11, 4, 0, 3 in descending order.
11, 4, 3, 0
Sort 8, -0.01, -0.7, 0.3 in ascending order.
-0.7, -0.01, 0.3, 8
Sort 379, 5, 3, 1 in descending order.
379, 5, 3, 1
Put 0.1, -0.057, 4/3 in descending order.
4/3, 0.1, -0.057
Sort 34, 4, -0.3, 12, 0.5 in descending order.
34, 12, 4, 0.5, -0.3
Put 14, -4, 1 in decreasing order.
14, 1, -4
Sort -4, 3, -3, 10, -1.
-4, -3, -1, 3, 10
Sort 140, 4, -4 in ascending order.
-4, 4, 140
Sort -0.3, 4/5, -0.034.
-0.3, -0.034, 4/5
Sort 4, 1/5, -0.04, -0.6, -2 in decreasing order.
4, 1/5, -0.04, -0.6, -2
Sort -2, -30, 1, -9 | {
"pile_set_name": "DM Mathematics"
} |
p + 6. Let x be 86/6 + p/18. Which is smaller: 14 or x?
14
Let i = 2 - 2.14. Let u = i - -2.14. Let m(t) = -5*t + 46. Let s be m(8). Which is greater: u or s?
s
Let b = 13 + -4. Let n = 8 - b. Which is smaller: -0.1 or n?
n
Let i = 1 - 3. Suppose 3*d - 4*k + 13 + 10 = 0, 2*d + 4*k = 18. Let j be (-30)/(-25) + d + -1. Is i at least as big as j?
False
Suppose p - 2 = 0, 19*p - 17*p = 5*u + 24. Suppose 3*g + 26 = -0*g + 2*z, 0 = g + 3*z - 6. Which is smaller: g or u?
g
Suppose 0 = v - 4*z + 2*z + 11, -25 = 3*v + 2*z. Let t be ((-6)/(v/3))/(-122). Is t > -1?
True
Let q(o) = 2*o**3 + 34*o**2 + 31*o - 15. Let h be q(-16). Which is smaller: -4/111 or h?
-4/111
Let m = -1491 + 1489.6. Which is greater: m or -6?
m
Suppose -5*u + 10 = 2*p, 2*u = -3*p - 3*u + 10. Which is smaller: 2/65 or p?
p
Let u be 105/282 + (-2)/4. Suppose -k + 5*j - 1 = 0, -3*k + 5*j - 12 + 9 = 0. Which is bigger: k or u?
u
Suppose 4*z - 1 = v + 24, z + 5*v = 1. Let o = 0 + z. Let a be 16/o - (0 - -3). Is -4/7 <= a?
True
Suppose 4*b + 2*r + 162 = -0*r, 2*b - 4*r = -56. Which is smaller: -41 or b?
-41
Let v(r) = -r**3 + 6*r**2 - r - 6. Let q be v(3). Let p = -15 + q. Suppose -3 = -p*t - 6. Do t and -1.3 have the same value?
False
Let p = -302 - -299. Do p and -39/20 have the same value?
False
Let m = -67 + 11. Let v = 1295 + -1296. Do v and m have different values?
True
Let u = 624 + -622. Is 21 at most u?
False
Let h be 16/(-24)*(-6)/(-4). Let y be 0 + -1 + 2 + 1. Let x = y + 1. Which is smaller: h or x?
h
Let z = 71 - 70.968. Let y = 6.032 - z. Which is greater: y or 1/4?
y
Let t = -561 + 562. Let h = -5.4 + 4. Which is smaller: h or t?
h
Suppose 3 = -3*f + 3*b, -5*f = -2*f - 2*b. Is 60/67 smaller than f?
True
Let y(a) = -a**3 - 4*a**2 + 4. Let k be y(-3). Let c be (-3 - -2)*(k - 0). Let d = 32 - 32.1. Is d < c?
True
Let t = -44.92 + 29. Let h = t + 16. Is h > -2?
True
Let l = 126.97 + -127. Suppose -2*h = 4 - 12. Which is bigger: l or h?
h
Suppose 0*r = -4*z - r + 192, 4*r = -3*z + 144. Let x be ((-26)/(-13))/(1*z/(-10)). Is 0 != x?
True
Let l be 4/(-24)*(-64)/(-56). Suppose -5*a = -7*a. Which is smaller: a or l?
l
Let l = -43 - -53. Let b be l/25*5 - 2. Which is bigger: b or 2/61?
2/61
Let i = -0.24 - -0.11. Let a = 5.87 - i. Which is bigger: a or -2/7?
a
Suppose n + 3 + 1 = 0. Let o be (-3 - 57/(-9))/n. Is -2 at most as big as o?
True
Let f = -0.196 + 0.296. Is f < 14/5?
True
Suppose 2*f + 1 = -3*u + 10, 0 = -u + 2*f - 5. Is u at least as big as 21/40?
True
Let y = 0.32 - 11.32. Let f = 1 - y. Let b = -15 + f. Is -3/4 at least as big as b?
True
Let c be (-4)/(-5)*-9*(-3)/324. Which is smaller: 6 or c?
c
Let v be 20/(-3)*(87/14 - 6). Let m(f) = f**2 - 3*f + 2. Let k be m(2). Which is smaller: v or k?
v
Let z = 1271/2048 + 100238799/47104. Let d = z + -2129. Which is smaller: d or -1?
-1
Let p(q) = q + 4. Let a be p(-3). Let l be (-14 + -1)*-1 - a. Suppose 3*g = -b, -3*g + 5*b = -4 - l. Are g and 2/39 equal?
False
Let j be (126/(-119))/9 + (-2978)/(-170). Which is bigger: j or 16?
j
Let a(v) = v**3 + 12*v**2 - 12*v + 11. Let u(d) = d - 1. Let k be u(-12). Let s be a(k). Which is smaller: s or -3?
-3
Suppose -5*b + 2*n + 292 = 0, -124 = b - 3*b - n. Suppose 5*y - b = -0*y. Is 13 bigger than y?
True
Let k = 2940 - 2940.04. Is -1/19 greater than k?
False
Let q = -165 + 169. Which is smaller: -0.05 or q?
-0.05
Let u = 33.1 - 11.1. Let r = 22.2 - u. Is r smaller than 1/27?
False
Let u(i) = i**3 - 11*i**2 + 10*i + 4. Let k be u(10). Let f be (-2 - -1) + k + (-16)/4. Let n = -1025 + 7191/7. Is n smaller than f?
False
Let p(s) = s**2 - 11*s - 26. Let a be p(13). Suppose -f + 0 = 1, a = -4*b - 3*f - 67. Are -16 and b unequal?
False
Let t(w) = w + 1. Let u be t(-1). Let m(a) = -a**3 + 4*a**2 - a - 20. Let z be m(5). Which is smaller: z or u?
z
Suppose 26*g = 14*g. Is -227 at most g?
True
Let a be (-45)/117 - 1/(-3). Let q(o) = -o**2 + 1. Let z be q(-1). Which is smaller: a or z?
a
Suppose 4*s - 18 = -2*m, 0*m - 5*m = s - 63. Let g be m/39 + (-19)/66. Which is smaller: g or 0?
0
Let o be (-30*14/(-980))/((-4)/7). Let a = 2 - 2. Which is greater: a or o?
a
Let u be -2*-229*(35/(-10) + 3). Which is smaller: u or 0?
u
Let k = 1718 - 1719. Suppose -3*u + 5*u = 30. Which is bigger: u or k?
u
Let i(d) = -6*d**3 + d**2 - d + 1. Let v be i(1). Are v and -3 unequal?
True
Let t be (-3390)/(-54)*(-6)/4. Let q = t - -181/2. Which is smaller: -3 or q?
q
Suppose 4*t + 36 = -2*t. Let q be 2/6 - 322/t. Let n be (3/(-9))/(6/q). Is n < -15/8?
True
Suppose 0 = -w - 3*s + 736, -4*w + 2944 = -7*s + 6*s. Which is greater: 738 or w?
738
Let j = -10.3 + 1.1. Let k = j + 11. Which is smaller: k or -2?
-2
Let t be (-6 - -8) + (-1 - (0 - 1)). Suppose -2*a - 12 = 4*o, o + 4*a = 13 - t. Which is bigger: 0 or o?
0
Let h be ((-6)/15)/(1/10). Let k be (-182)/(-46) + h + 0. Is k > -1?
True
Let d = -18369/5 + 3689. Are 2/7 and d equal?
False
Let v = -6 + 10. Let s be (3/(-8))/(v/(-80)). Suppose -4*f - 9 - 15 = -4*l, 2*f = -3*l + 33. Is s > l?
False
Let r = 594 + -597. Is -0.5 > r?
True
Let x be -1 + ((-96)/(-44))/2. Is 0.3 equal to x?
False
Let v = -493 - -987/2. Which is smaller: 27 or v?
v
Let z = 1.73 - -75.27. Let f = z - 69. Which is smaller: f or 3?
3
Let g(y) = 4*y**2 - 40*y + 226. Let p be g(5). Which is smaller: p or 127?
p
Let p(q) = q**2 + 12*q - 3. Let m be p(6). Let g be 1/(-2) - m/(-14). Is 4 > g?
False
Let d(i) = -8*i - 119. Let f be d(-29). Which is smaller: 225/2 or f?
225/2
Let g be -1 + -4 - (27 + -13). Is g equal to -19?
True
Let m(i) = -i**3 + 11*i**2 - 8*i + 3. Let s be m(10). Suppose s = 5*p - 22. Let g be -4 - ((-81)/6)/p. Do g and -2 have the same value?
False
Let p be (4 - 255/(-10)) + 5. Which is bigger: 36 or p?
36
Let k = 2/31 + -1027/62. Which is greater: k or -18?
k
Let q = 198 + -992/5. Are -86 and q non-equal?
True
Let u(z) = -z**3 - 7*z**2 + z + 11. Let o be u(-5). Are -37 and o equal?
False
Let b = 0.049 + 0.821. Let k = -0.13 - b. Which is smaller: -0.5 or k?
k
Let q = -4.968 - 2.96. Let g = q + 0.028. Let y = -8 - g. Is y at most as big as -3?
False
Let k = 4/443 - 695/27909. Let o be (-2038)/504 + 5 + -6 + 5. Let q = o - k. Which is smaller: q or 0?
q
Let g = -6 - -6. Let m = 105421/24 + -8375/2. Let x = m + -205. Which is greater: x or g?
x
Suppose -4*z - 4*i = -112, -5*z + 3*i + 47 + 69 = 0. Is z equal to 224/9?
False
Let g(a) = 2*a + 6. Let j be g(-4). Let d = -2 - j. Let o = -20 - -19. Which is smaller: o or d?
o
Suppose -5*i + 1119 - 2709 = 0. Is -318 smaller than i?
False
Suppose -9 = -z - 17. Let j be (z/(-4) + -1)*(-6)/2. Which is bigger: -1 or j?
-1
Suppose 3*c + 55 = -2*c. Let x(u) = -3*u**2 + u - 1. Let w be x(2). Let m = w - c. Is 1 at most m?
False
Let v be 50952/108 - 2/(-9). Are v and 471 non-equal?
True
Let t be (70/4)/((-2)/(-4)). Let f(b) = -b**3 + 9*b**2 - 17*b + 55. Let s be f(7). Which is smaller: t or s?
s
Let i = 14 + -17. Let s be (18/i)/2 + -47. Let m = 449/9 + s. Is 0 at least as big as m?
True
Let l = -43958/3401 + 246/19. Which is bigger: l or 1?
1
Let j = 114 + -47. Suppose 0 = -9*a + j + 86. Is a < 15?
False
Let x be 7 - (8902/(-1270))/(-1). Which is smaller: 1 or x?
x
Let w(l) = -l**3 - 4*l**2 - 4*l - 1. Let r be w(-3). Suppose 15 + 8 = 23*i. Which is smaller: i or r?
i
Let q = 12.61 + 252.39. Which is bigger: q or 1/7?
q
Let x = 7.1383 + -0.1083. Let a = 379 - 386. Let r = x + a. Does -1 = r?
False
Let y be (-7 - -4 - 7)/(-2). Suppose -1 = -4*s + 7. Which is smaller: y or s?
s
Suppose -p + 4*p - 2*v = 10, 25 = 4*p - 5*v. Let i be (0 + -2)/((-2)/7). Suppose -3*l + 11 + i = p. Is l less than or equal to 6?
True
Let h(r) = -3*r**3 - 3*r**2 + 12*r - 23. Let k be h(5). Is k smaller than -413?
False
Let a = 1011 - 991.21. Let q = a - -0.21. Is -1/4 < q?
True
Let p(f) = -3*f - 20. Let d be p(-8). Let w be -3 + 11 + (d - 8). Let i(c) = 2*c**2 + 7*c. Let l be i(-3). Which is smaller: l or w?
l
Suppose 6*y + i = 10*y + 108, 4*i - 12 = y. Does -29 = y?
False
Let b = -0.25 - -0.29. Let f = 59 + -59.02. Is f greater than or equal to b?
False
Let q = 9 - 9. Let a = 24.056 - 0.056. Which is greater: a or q?
a
Let m(k) = k**3 - 5*k**2 + 3*k - 3. Let n be m(6). Which is smaller: n or 54?
n
Let h = 29 - 39. Let t = h + 11. Suppose 0 = -3*a - 2*a. Is a < t?
True
Let n( | {
"pile_set_name": "DM Mathematics"
} |
hat is the hundred thousands digit of 759505?
7
What is the ten thousands digit of 65972?
6
What is the hundreds digit of 222129?
1
What is the thousands digit of 33225374?
5
What is the hundreds digit of 118484?
4
What is the ten thousands digit of 692272?
9
What is the millions digit of 2936853?
2
What is the hundred thousands digit of 303789?
3
What is the thousands digit of 6568170?
8
What is the thousands digit of 2727515?
7
What is the hundred thousands digit of 11935915?
9
What is the hundred thousands digit of 2448916?
4
What is the hundreds digit of 2307966?
9
What is the hundred thousands digit of 129285?
1
What is the ten thousands digit of 202737?
0
What is the units digit of 210644?
4
What is the units digit of 43499?
9
What is the thousands digit of 676068?
6
What is the ten thousands digit of 1249207?
4
What is the ten thousands digit of 9063997?
6
What is the hundreds digit of 286367?
3
What is the ten thousands digit of 273095?
7
What is the millions digit of 1390726?
1
What is the ten thousands digit of 3309186?
0
What is the hundred thousands digit of 300458?
3
What is the ten thousands digit of 2479184?
7
What is the hundred thousands digit of 4091776?
0
What is the units digit of 188190?
0
What is the tens digit of 1685781?
8
What is the millions digit of 6565825?
6
What is the millions digit of 12267627?
2
What is the thousands digit of 627588?
7
What is the millions digit of 3581659?
3
What is the thousands digit of 1214627?
4
What is the thousands digit of 848662?
8
What is the thousands digit of 16749958?
9
What is the thousands digit of 168052?
8
What is the hundreds digit of 51369?
3
What is the units digit of 7605489?
9
What is the units digit of 146000?
0
What is the tens digit of 2283670?
7
What is the thousands digit of 311822?
1
What is the tens digit of 7864372?
7
What is the units digit of 79065?
5
What is the hundred thousands digit of 437625?
4
What is the ten thousands digit of 4862000?
6
What is the ten thousands digit of 496737?
9
What is the tens digit of 833094?
9
What is the millions digit of 2947267?
2
What is the hundred thousands digit of 5308658?
3
What is the hundreds digit of 164315?
3
What is the tens digit of 827947?
4
What is the thousands digit of 7244888?
4
What is the hundreds digit of 4388167?
1
What is the tens digit of 115467?
6
What is the units digit of 5117020?
0
What is the ten thousands digit of 3522596?
2
What is the thousands digit of 248238?
8
What is the hundreds digit of 490128?
1
What is the hundreds digit of 11304?
3
What is the hundreds digit of 704037?
0
What is the hundreds digit of 1705694?
6
What is the thousands digit of 830672?
0
What is the hundreds digit of 139336?
3
What is the units digit of 497534?
4
What is the hundred thousands digit of 4980589?
9
What is the ten thousands digit of 541052?
4
What is the thousands digit of 221360?
1
What is the units digit of 12979489?
9
What is the tens digit of 374522?
2
What is the thousands digit of 3210105?
0
What is the hundred thousands digit of 241153?
2
What is the ten thousands digit of 1452826?
5
What is the hundreds digit of 322108?
1
What is the millions digit of 4746052?
4
What is the units digit of 235643?
3
What is the hundred thousands digit of 1410960?
4
What is the tens digit of 5920356?
5
What is the thousands digit of 567133?
7
What is the ten millions digit of 32073127?
3
What is the hundreds digit of 2957160?
1
What is the ten thousands digit of 3444394?
4
What is the hundreds digit of 1594377?
3
What is the units digit of 113172?
2
What is the ten thousands digit of 136809?
3
What is the units digit of 58237?
7
What is the thousands digit of 12826448?
6
What is the thousands digit of 1219648?
9
What is the tens digit of 159702?
0
What is the tens digit of 1862648?
4
What is the thousands digit of 3581744?
1
What is the units digit of 554959?
9
What is the hundreds digit of 227769?
7
What is the hundreds digit of 7084793?
7
What is the thousands digit of 109344?
9
What is the thousands digit of 417151?
7
What is the tens digit of 4678472?
7
What is the thousands digit of 43607?
3
What is the thousands digit of 239944?
9
What is the ten thousands digit of 72783?
7
What is the hundred thousands digit of 120483?
1
What is the millions digit of 1121550?
1
What is the units digit of 5460127?
7
What is the hundred thousands digit of 2162168?
1
What is the ten thousands digit of 261366?
6
What is the units digit of 175164?
4
What is the tens digit of 193375?
7
What is the units digit of 326600?
0
What is the hundreds digit of 6706839?
8
What is the ten thousands digit of 4037520?
3
What is the hundreds digit of 694210?
2
What is the thousands digit of 928473?
8
What is the units digit of 4685507?
7
What is the ten millions digit of 20449112?
2
What is the thousands digit of 3895894?
5
What is the units digit of 23296612?
2
What is the hundreds digit of 109592?
5
What is the ten thousands digit of 341041?
4
What is the hundred thousands digit of 2834476?
8
What is the hundreds digit of 599183?
1
What is the ten thousands digit of 18918024?
1
What is the thousands digit of 252403?
2
What is the units digit of 15455872?
2
What is the hundreds digit of 2119009?
0
What is the millions digit of 7211892?
7
What is the hundreds digit of 204121?
1
What is the hundred thousands digit of 197571?
1
What is the hundred thousands digit of 3753020?
7
What is the tens digit of 173728?
2
What is the thousands digit of 9958458?
8
What is the units digit of 3024252?
2
What is the tens digit of 538203?
0
What is the ten thousands digit of 691314?
9
What is the hundred thousands digit of 127732?
1
What is the ten thousands digit of 3294295?
9
What is the hundreds digit of 1395006?
0
What is the ten thousands digit of 1901998?
0
What is the units digit of 2997897?
7
What is the hundred thousands digit of 4264992?
2
What is the hundred thousands digit of 3527765?
5
What is the ten thousands digit of 470969?
7
What is the units digit of 1112483?
3
What is the ten thousands digit of 7893591?
9
What is the units digit of 506560?
0
What is the millions digit of 6116547?
6
What is the tens digit of 12103605?
0
What is the thousands digit of 359367?
9
What is the tens digit of 562230?
3
What is the tens digit of 772685?
8
What is the hundred thousands digit of 238606?
2
What is the hundred thousands digit of 107347?
1
What is the tens digit of 2058694?
9
What is the units digit of 1903448?
8
What is the millions digit of 4209255?
4
What is the thousands digit of 437822?
7
What is the hundreds digit of 1124744?
7
What is the millions digit of 19920407?
9
What is the millions digit of 3452315?
3
What is the hundred thousands digit of 228654?
2
What is the units digit of 87487?
7
What is the millions digit of 5822859?
5
What is the tens digit of 260263?
6
What is the tens digit of 245039?
3
What is the thousands digit of 884654?
4
What is the thousands digit of 1547377?
7
What is the ten thousands digit of 16429787?
2
What is the tens digit of 2630734?
3
What is the units digit of 91393?
3
What is the thousands digit of 115687?
5
What is the hundred thousands digit of 235141?
2
What is the thousands digit of 7322218?
2
What is the hundred thousands digit of 241934?
2
What is the units digit of 2714114?
4
What is the units digit of 9282510?
0
What is the tens digit of 474480?
8
What is the hundred thousands digit of 5011822?
0
What is the thousands digit of 4963100?
3
What is the hundred thousands digit of 2009814?
0
What is the units digit of 415877?
7
What is the tens digit of 20922700?
0
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4
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7
What is the tens digit of 231424?
2
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3
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0
What is the units digit of 15590199?
9
What is the hundreds digit of 6084229?
2
What is the tens digit of 1145197?
9
What is the thousands digit of 87346?
7
What is the hundreds digit of 628860?
8
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6
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0
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2
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2
What is the ten thousands digit of 3562673?
6
What is the ten thousands digit of 718339?
1
What | {
"pile_set_name": "DM Mathematics"
} |
1. Suppose -i = o + 2. Let b be -4*((-44)/(-16) + o). Calculate p(b).
6
Let v(u) = -u**3 - 19*u**2 - 19*u - 14. Let w be v(-18). Let b(z) = -2*z**2. Let k(r) = 5*r**2 + r + 1. Let g(o) = -8*b(o) - 3*k(o). Calculate g(w).
1
Let u(k) = 5*k + 1. Let c = -12 - -11. Calculate u(c).
-4
Let d(b) = 107*b**2 + 101*b**2 - 310*b**2 + 26 + 3*b + 101*b**2. Calculate d(7).
-2
Let s(z) = 8*z + 8012*z**3 - 5 + 4*z - 10*z**2 - 8011*z**3. What is s(9)?
22
Let d be ((-3)/(-2))/((-24)/(-32)). Let f(r) = 9 - r**3 - 22*r**2 - 1 + 0 + 28*r**d. Calculate f(6).
8
Let a = -14 - -11. Let c(q) be the third derivative of -q**4/6 - 5*q**3/6 - 2*q**2. Let l be c(a). Let d(k) = -k**2 + 6*k + 5. What is d(l)?
-2
Let d be (1 + -6)*(-1 - -2). Let j(a) = 37*a + 13*a - 51*a. What is j(d)?
5
Let c(d) = 0*d + 3 - 2 + 2*d**3 - d**2 - 3*d. Let u = -6 - -8. Let v be c(u). Let y(x) = -x**3 + 8*x**2 - 8*x + 2. Give y(v).
-5
Let a(r) = 20*r**2 - 4 + 3 - 2*r - 6*r**2. Suppose -29 = w + 2*m + 66, 0 = -3*w + 2*m - 309. Let c = w - -100. Calculate a(c).
15
Let p(y) = 1 - 2*y + 2*y - y. Let l(o) = -o**3 - 21*o**2 + 23*o + 24. Let h be l(-22). Suppose 20 = h*t - 7*t. Calculate p(t).
5
Let i(r) be the second derivative of r**5/60 + 5*r**4/24 - r**3/6 + 3*r**2 - 11*r. Let s(z) be the first derivative of i(z). Determine s(-6).
5
Let u(p) be the third derivative of -23*p**5/60 - p**4/12 - p**3/2 + 432*p**2. Calculate u(-1).
-24
Let z = -3 + 0. Let o be (-17)/4 - z/12. Let v(d) be the first derivative of -d**4/4 - d**3 + 5*d**2/2 - d + 86. Determine v(o).
-5
Let k(b) = b**2 + 2*b - 6. Let u be k(-6). Let d(t) = -20 - u*t**2 - t - 7*t**2 + 26*t**2. What is d(0)?
-20
Let p(o) = 34*o + 97. Let w be p(-3). Let j(h) = -4*h**2 - 2*h + 4. Let c(a) = -9*a**2 - 3*a + 8. Let f(x) = -3*c(x) + 7*j(x). Determine f(w).
4
Let i(k) = 10*k**2 - 2*k**2 - k**2 + 13 + 6*k - 8*k**2. What is i(8)?
-3
Let z(r) = r**2 + 5*r + 1. Let p = -98 - -61. Let d = p + 31. Let g be (-4)/1*d/(-8). Give z(g).
-5
Let g(o) = 7*o + 18. Let a be g(-7). Let n = a + 35. Let w(v) = -v**3 + 4*v**2 + 3*v + 1. What is w(n)?
13
Let s(b) = 34*b**3 + 4*b**2 - 9*b + 2. Let f(c) = -51*c**3 - 6*c**2 + 13*c - 3. Let y(j) = 5*f(j) + 7*s(j). What is y(1)?
-18
Let o be ((-40)/25)/(2/10). Let r be o/(-6)*(-6)/(-4). Let j(c) = -107 - 112 - c + 218. Calculate j(r).
-3
Let u be (-322)/(-56) + (-3)/(-24)*2. Let y(k) = -k**2 + 10*k - 2. What is y(u)?
22
Let g(j) = -12*j**2 + j - 1. Suppose 19*k = 24*k. Let i be k*3/6*-1. Suppose i = -w - 5, 0 = -n + 4*w + 21 - 0. Give g(n).
-12
Let o(f) = 63 - 156 + 110 - 11*f. Calculate o(8).
-71
Let c(z) = 13*z - 24. Let x(h) = -36*h + 67. Let q(y) = 11*c(y) + 4*x(y). Determine q(0).
4
Let f(h) = -16*h - 19. Let y(n) = -43 + 49 + 9*n - 4*n. Let s(g) = -2*f(g) - 7*y(g). Determine s(-3).
5
Let m(s) = -12*s**2 + 5*s - 4. Let b(y) = -11*y**2 + 4*y - 3. Let g(h) = -4*b(h) + 3*m(h). Let p = -23075 + 23076. Determine g(p).
7
Let m(t) be the first derivative of 2*t**3/3 - 7*t**2/2 + 6*t + 36. Calculate m(3).
3
Let j(p) = p**2 + 4*p + 3. Let v(g) = -2 + 7*g - 14*g - 2*g**2 + g**2 + 8*g. Let n be v(0). Calculate j(n).
-1
Let f(t) = -3*t - 2. Let y(d) = 4*d**2 + 8*d + 12. Let c(z) = z**2. Let q(m) = -3*c(m) + y(m). Let x be q(-5). Let i = x - -1. Give f(i).
4
Suppose 5*c = 4*y - 0*y - 90, c = -3*y + 77. Suppose -2*v - a + y = 8, -12 = -4*a. Let d(w) = w - 4. Calculate d(v).
3
Let f(r) be the third derivative of -r**7/2520 - r**6/360 + r**5/30 - 14*r**2. Let s(g) be the third derivative of f(g). Give s(-4).
6
Let v be 5/(15/12) - 4. Let r(o) = 6 - 2*o**2 + o**2 + v*o**3 + o**3 - 3*o - 4*o**2. Calculate r(5).
-9
Let l(m) be the second derivative of m**3/6 - m**2 + m. Let t be 0/(((-2)/1)/(-2)). Let v be 0/(4 + (-2 - t)). What is l(v)?
-2
Let i(q) be the third derivative of q**5/30 - 13*q**4/12 - 9*q**3/2 - 8*q**2 + 2*q. Determine i(14).
1
Let k(x) = -4*x + 4. Suppose -4*g = -5*r + 18, -4*r + 2*g + 11 = -1. Let t be 52/8 - r/4. Suppose -4*z - 6 = -t*z. Give k(z).
-8
Let d be (5 - -1)/(1 + 0). Let w(y) = y + 158. Let l(u) = 3*u + 517. Let q(g) = 4*l(g) - 13*w(g). Give q(d).
8
Let f(z) be the first derivative of -z**3/3 - 3*z**2 - 3*z - 1. Suppose 108*r = 99*r - 45. Calculate f(r).
2
Suppose 0 = -3*p, 5*v - 40 = 2*p - 7*p. Suppose -30 = 5*k - x, 33 - v = -4*k + x. Let f(m) = -m**3 - 3*m**2 + 6*m - 6. Calculate f(k).
14
Let b be 2/4*(1 - 1). Let k(n) = b - 3 + n + 2. Suppose 3*p - 20 = -p. Determine k(p).
4
Let v(l) be the third derivative of 0*l - 2*l**2 + 1/24*l**4 - 2/3*l**3 + 0. Let q be 4/((-60)/(-9))*-10. Give v(q).
-10
Let d(i) = -i**2 - 3*i + 7. Let a(f) = -32 + 5*f + f + f**2 + 35. Let o be a(-2). What is d(o)?
-3
Suppose -3*j = 2*j, 3*b = -4*j + 27. Let n(f) = -90 - f + b*f**2 + 80 + 2*f - f**3. What is n(9)?
-1
Let n(y) = y + 9. Let v be n(0). Suppose -5*u = -v*u + 8. Let x(w) = -2*w**2 + 2*w - 3. What is x(u)?
-7
Let x(f) = 2*f - 2. Let h(l) = -19*l + 15. Let z(n) = -h(n) - 6*x(n). What is z(5)?
32
Suppose 42 = -9*r + 3*r. Let j(s) = s**2 + 9*s + 18. Let t be j(r). Let n(g) = -g**3 + 2*g**2 + 5*g + 1. Give n(t).
-11
Let n(d) = -d**2 - 9*d - 8. Let y(m) = m + 3. Let w(f) = n(f) + 4*y(f). Determine w(-7).
-10
Let t(s) be the first derivative of -7*s**2/2 - s - 1. Let o = 1 - 0. Suppose -o = -0*z - z. Calculate t(z).
-8
Let s(w) be the third derivative of w**6/360 + w**5/60 - w**4/8 - 4*w**3/3 - 3*w**2. Let y(g) be the first derivative of s(g). Calculate y(2).
5
Let f(b) = b + 6. Let a be (0 - 4)*3/(-6). Suppose z - x - a = x, -3*z = 4*x - 16. Let l be ((-18)/z)/(12/16). Calculate f(l).
0
Let u(c) = -10*c + 10. Let i(f) = 5*f - 8. Let p(m) = -5*i(m) - 3*u(m). What is p(2)?
20
Let c be (-1)/((-4)/(-10) - 63/70). Suppose -c*r + 108 = 16*r. Let o(v) = -v**2 + 8*v - 7. Determine o(r).
5
Suppose 3*q - 2*n + 62 + 87 = 0, 0 = -3*q - 4*n - 161. Let h = q - -46. Let o(m) = -m**2 - 6*m - 3. Give o(h).
2
Let r(w) = -w. Let b be r(-2). Let x(k) = k + 0*k - 2*k + 5*k - 3 - 2*k. Calculate x(b).
1
Suppose 5*j + 14 = -11, 3*j + 27 = 4*k. Let n(z) be the second derivative of 2*z - 2/3*z**k + 1/20*z**5 + 0*z**2 - 1/4*z**4 + 0. Give n(4).
0
Let o(t) = -t**2 + 1 - 3*t + 2*t**2 + 0*t**2 - 3*t**2. Let b(j) be the third derivative of -j**5/60 + 5*j**4/24 - j**3/2 + 5*j**2. Let x be b(5). Give o(x).
-8
Let i(j) be the first derivative of -j**4/4 - j**3/3 + 6*j - 1. Let d be (-49)/28 + (-1)/4. Let y(p) = p**2 + 2*p. Let l be y(d). What is i(l)?
6
Let n(m) = -m**3 - 6*m**2 + 2*m - 16. Let a(b) = b**3 + 6*b**2 - b + 15. Let p(c) = -5*a(c) - 4*n(c). Let l be p(-6). Let w(d) = -d + 12. Give w(l).
5
Suppose -2*i - 9 = -9. Let x(f) be the first derivative of -f**4/4 + f**3/3 + f**2/2 + 5*f - 2. Determine x(i).
5
Suppose -58*i - 1 = -59*i. Let w(s) = -12*s**3 - i - s**3 - 238*s + 2*s**2 + 238*s. Give w(-1).
14
Let m(f) = f**3 - 2*f**2 - f + 1. Let k(o) = -11*o - 20. Let y be k(-2). Calculate m(y).
-1
Let q(h) = 2*h - 10. Suppose -12 = 4*r, 2*l - l + 5*r = -8. Determine q(l).
4
Let p(l) = 4*l + 20. Suppose 1619*u - 104 = 1632*u. Give p(u).
-12
Let b(m) be the third derivative of m**5/30 - 5*m**4/24 - 5*m**3/6 + 4*m**2 - 16*m. Determine b(3).
-2
Let p(r) be the first derivative of -3*r - 5/2*r**2 + 11 + 5/3*r**3 + 1/4*r**4. What is p(-6)?
-9
Let z(p) = -19*p - 96*p**2 + 7 + 4*p + 8*p + 97*p**2. Let n be (-1)/((-9)/8 - -1). Give z(n).
15
Let a(i) = -2*i. Let c = 4 + 1. Suppose 0 = -p - 8 + 22. Suppose 2*h + p = -2*j - 2*h, c = -j - h. Determine a(j).
6
Let m(x) = 5 - 25*x + 2 - 16*x + 42*x. Determine m(-2).
5
Suppose -7*c = -2*c - 20. Suppose x = -0*x + c. Suppose -x*a - a = 30. Let q(o) = 2*o + 3. What is q(a)?
-9
Let s(f) = -f + 7. Let n = -8 - -15. Let q be s(n). Let l(g) be the first derivative of -g**3/3 + g**2/2 + 3*g + 2. What is l(q)?
3
Let p(w) = 3 - 20*w - 219*w**2 + 441*w**2 - 223*w**2. Calculate p(-20).
3
Let x = 116 + -110. Let a(d) = d**2 - 8*d + 7. Determine a(x).
-5
Suppose 0 = 8*t - 7*t - 5. Let s(p) = 5*p**3 + 6*p**2 - 6*p + 7. Let c(d) = -14*d**3 - 18*d**2 + 18*d - 21. Let g(i) = -6*c(i) - 17*s(i). Determine g(t).
2
Let s(b) be the first derivative of -b**4/4 + 5*b**3/3 + 2*b**2 - 5*b + 754. What is s(5)?
15
Suppose -2*x - 24 = -4*x. Suppose 5*n - n + y = 16, 3*n + 5*y = x. Let q(u) = -u**2 + 4*u + 1. Calculate q(n).
1
Let l = 48 + -48. Let | {
"pile_set_name": "DM Mathematics"
} |
+ 24*f**2 - 301*f - 64. What is y(-33)?
68
Let b(o) = -o**3 - 27*o**2 - 49*o - 38. Calculate b(-25).
-63
Let o(q) = -9*q + 27. Give o(-7).
90
Let b(c) = c**3 - 3*c**2 + 2*c - 2. Calculate b(5).
58
Let o(s) = -3*s**2 + 12*s - 28. What is o(7)?
-91
Let l(d) = d**3 - 16*d**2 - 22*d + 92. What is l(17)?
7
Let y(k) = 3*k**3 + 34*k**2 + 95*k - 68. Calculate y(-4).
-96
Let r(g) = -2*g**2 - 4*g + 13. Give r(-4).
-3
Let z(v) = -6*v**2 + 77*v + 650. Determine z(-10).
-720
Let x(j) = -3*j**2 - 3*j + 83. Calculate x(-7).
-43
Let x(t) = t**2 + 27*t + 76. Give x(-15).
-104
Let x(k) = k**3 - 5*k**2 - 71*k + 15. Determine x(10).
-195
Let d(h) = -h**2 - 56*h + 115. Calculate d(-58).
-1
Let z(d) = -d**3 - d**2 + 13*d + 23. Determine z(-3).
2
Let y(d) = -22*d**2 - 4*d - 4. What is y(2)?
-100
Let w(c) = -4*c**2 - 55*c - 6. What is w(-13)?
33
Let m(o) = 234*o + 39084. What is m(-167)?
6
Let x(c) = 511*c + 1028. Give x(-2).
6
Let p(t) = -9*t - 130. What is p(-15)?
5
Let j(r) = 51*r + 389. Give j(-12).
-223
Let l(g) = 18*g**2 - 52*g + 106. What is l(7)?
624
Let o(j) = -38*j + 10. Give o(-2).
86
Let t(o) = -480*o - 2404. What is t(-5)?
-4
Let b(f) = 35*f**3 - 2*f**2 + 2*f - 38. What is b(0)?
-38
Let f(d) = -36*d**2 + 1337*d - 61. What is f(37)?
124
Let i(s) = 3*s**3 - 19*s**2 + 31*s - 1. What is i(2)?
9
Let k(n) = 2*n**2 + 99*n - 1466. What is k(13)?
159
Let s(h) = 3*h**2 + 68*h + 52. What is s(-22)?
8
Let v(n) = 81*n - 169. What is v(2)?
-7
Let w(a) = a**2 + 115*a + 2174. Calculate w(-91).
-10
Let m(h) = h**2 - 62*h + 729. Determine m(16).
-7
Let m(c) = -c**2 - 641*c + 5189. What is m(8)?
-3
Let x(m) = 527*m + 11600. What is x(-22)?
6
Let h(z) = z**3 + 28*z**2 + 149*z - 211. Determine h(-20).
9
Let c(k) = k**3 - 7*k**2 + 42*k - 264. Calculate c(6).
-48
Let i(h) = -107*h - 6859. What is i(-64)?
-11
Let d(p) = 9*p + 288. Give d(-40).
-72
Let v(x) = 4*x**2 - 275*x - 2223. Calculate v(76).
-19
Let c(v) = -67*v + 831. Give c(13).
-40
Let l(o) = -74*o + 1394. Determine l(19).
-12
Let z(l) = -28*l + 602. Give z(22).
-14
Let c(j) = j**3 - 227*j**2 + 1117*j - 1560. Determine c(222).
-6
Let b(k) = -k**2 + 21*k - 45. What is b(10)?
65
Let x(s) = 29*s + 21. Determine x(-6).
-153
Let w(m) = -m**2 - 74*m + 484. Give w(6).
4
Let p(k) = -46*k - 998. Calculate p(-22).
14
Let u(o) = 2*o**2 + 163*o - 1486. What is u(-91)?
243
Let y(z) = 49*z - 168. Determine y(4).
28
Let w(j) = j**3 + 23*j**2 + 41*j - 34. Determine w(-21).
-13
Let c(m) = -27*m + 24. Give c(-31).
861
Let a(b) = -2*b**2 - 57*b - 105. Give a(-7).
196
Let p(r) = -r**3 - 12*r**2 - 22*r - 63. Give p(-10).
-43
Let h(n) = -27*n**3 - 5*n**2 + 8. Give h(-2).
204
Let u(n) = 10*n - 309. What is u(30)?
-9
Let z(m) = 2*m**2 - 1035*m + 5156. Calculate z(5).
31
Let k(w) = -17*w**3 + 3*w**2 - 9*w + 5. What is k(2)?
-137
Let v(n) = -2*n**2 - 62*n - 315. Determine v(-35).
-595
Let q(a) = -3*a**3 - 9*a**2 + 26*a + 88. What is q(-4)?
32
Let b(d) = -d**3 - 20*d**2 - 10*d + 154. Calculate b(-19).
-17
Let j(s) = -3032*s + 9101. Give j(3).
5
Let t(f) = -f**3 - 29*f**2 - 97*f - 12. Determine t(-5).
-127
Let x(p) = -942*p - 2737. What is x(-3)?
89
Let o(x) = -220*x - 954. What is o(-6)?
366
Let a(u) = 3*u**2 - 12*u - 1. Calculate a(10).
179
Let w(t) = 6*t**2 + 184*t - 56. What is w(-31)?
6
Let a(v) = 920*v + 17493. Calculate a(-19).
13
Let y(h) = 5*h**2 - 28*h - 22. Determine y(5).
-37
Let q(k) = 6*k**3 + 6*k**2 + 8*k + 21. Determine q(-2).
-19
Let c(l) = 4*l**3 - 2*l**2 + l + 1. Give c(-2).
-41
Let y(b) = -b**3 + 60*b**2 - 110*b - 333. What is y(58)?
15
Let v(s) = -61*s + 30. Give v(3).
-153
Let l(f) = 7*f**2 - 41*f - 7. Calculate l(7).
49
Let f(b) = -b**3 - 155*b**2 - 1035*b + 203. What is f(-148)?
55
Let v(m) = -m**3 + 52*m**2 + 146*m - 2054. Determine v(54).
-2
Let v(a) = 2*a - 8. What is v(8)?
8
Let x(i) = -7*i + 30. Calculate x(6).
-12
Let l(i) = -29*i - 223. Give l(0).
-223
Let f(a) = -19*a + 4. Calculate f(5).
-91
Let a(u) = u**2 - 104*u - 624. Give a(-6).
36
Let a(h) = -h**3 - 3*h**2 + 16*h + 197. What is a(-6)?
209
Let u(l) = -l**2 + 3*l + 227. Give u(-17).
-113
Let o(z) = 1212*z + 13345. Calculate o(-11).
13
Let u(m) = -22*m + 197. Determine u(27).
-397
Let c(p) = -73*p + 658. Give c(9).
1
Let z(r) = -r**3 + 7*r**2 + 74*r - 470. What is z(6)?
10
Let d(x) = x**3 - 22*x**2 + 100*x + 32. What is d(18)?
536
Let j(r) = -r**2 + 123*r - 172. Determine j(121).
70
Let i(d) = 29*d + 794. Determine i(-27).
11
Let i(x) = -x**2 + 40*x - 274. What is i(10)?
26
Let h(d) = -44*d**2 + 26*d - 26. Determine h(1).
-44
Let n(i) = -i**2 - 168*i + 666. Give n(4).
-22
Let c(p) = -11*p**2 + 41*p + 141. What is c(6)?
-9
Let r(c) = c**3 + c**2 - 2*c + 49. Give r(-5).
-41
Let b(p) = -3*p**2 - 325*p + 543. Determine b(-110).
-7
Let b(d) = 2*d**3 - 3*d**2 + 19*d - 1. Determine b(0).
-1
Let i(n) = 417*n - 2634. Calculate i(6).
-132
Let m(t) = t - 12. Determine m(-5).
-17
Let f(i) = 504*i + 623. Determine f(-1).
119
Let d(a) = -a**3 - 7*a**2 + 2*a - 139. Calculate d(-9).
5
Let g(n) = -n**3 + 79*n**2 + 791*n + 79. What is g(88)?
-9
Let u(r) = -r**3 - 50*r**2 + 398*r - 61. Determine u(-57).
-4
Let b(x) = -6*x**3 - 34*x**2 + 111*x - 13. Calculate b(-8).
-5
Let z(q) = 12*q + 442. Determine z(-46).
-110
Let d(t) = -1245*t - 8725. Give d(-7).
-10
Let a(i) = -24*i**2 - 286*i + 40. Determine a(-12).
16
Let q(y) = y**3 + 3*y**2 - y + 75. What is q(0)?
75
Let a(l) = -9*l**2 + 191*l + 158. What is a(22)?
4
Let i(w) = 2*w**3 + 10*w**2 + 10*w - 5. Determine i(-5).
-55
Let k(p) = p**2 - 39*p + 158. Determine k(31).
-90
Let u(t) = -t**3 - 23*t**2 - 115*t - 7. What is u(-8)?
-47
Let v(t) = 69*t + 201. What is v(-8)?
-351
Let w(t) = -157*t + 633. Calculate w(4).
5
Let t(z) = 240*z - 23996. Determine t(100).
4
Let z(j) = j**2 + 315*j + 3051. Give z(-10).
1
Let h(q) = 6*q**2 + 486*q + 3529. What is h(-8)?
25
Let u(g) = -399*g - 62259. Calculate u(-156).
-15
Let i(f) = f**2 + 651*f - 2611. Give i(4).
9
Let n(k) = 227*k - 1590. What is n(7)?
-1
Let k(b) = -3*b**3 + 227*b**2 + 71*b + 456. What is k(76)?
76
Let y(g) = g**3 + 26*g**2 + 49*g - 22. Determine y(-24).
-46
Let v(b) = -b**3 - 11*b**2 - 138*b - 1535. Calculate v(-11).
-17
Let a(m) = 3*m**2 + m + 226. What is a(0)?
226
Let k(y) = 10*y**2 - 117*y + 239. Calculate k(9).
-4
Let c(l) = -l**2 - 12*l - 67. Determine c(-16).
-131
Let j(k) = 7*k**2 - 17*k + 10. What is j(9)?
424
Let o(j) = 6*j**2 - 291*j + 133. Calculate o(48).
-11
Let d(m) = -m**3 - 12*m**2 + 39*m + 161. Calculate d(-14).
7
Let b(k) = -2*k**2 + 219*k - 1351. Give b(104).
-207
Let x(t) = 3400*t - 10208. What is x(3)?
-8
Let t(c) = 30*c - 143. Calculate t(30).
757
Let u(s) = 3*s**3 + 18*s**2 - 21*s - 112. What is u(-9)?
-652
Let z(n) = -3*n**2 + 11*n + 6. Calculate z(-4).
-86
Let w(z) = 2163*z + 4323. Determine w(-2).
-3
Let l(u) = -4*u**2 + 35*u + 53. What is l(8)?
77
Let d(i) = -53*i - 1705. What is d(-34)?
97
Let d(g) = 2*g**3 + 94*g**2 + 75*g - 796. Give d(-46).
-14
Let x(n) = 4*n**3 + 40*n**2 + 34*n + 4. Determine x(-9).
22
Let w(d) = 29*d - 275. What is w(13)?
102
Let p(x) = -x**2 + 51*x + 843. Determine p(-13).
11
Let y(k) = 16*k + 1355. Determine y(-82).
43
Let i(b) = -b**2 + 25*b - 242. Calculate i(16).
-98
Let v(s) = -s**3 - 17*s**2 + 9*s + 156. Give v(-17).
3
Let h(k) = -164*k - 424. Give h(-3).
68
Let n(l) = -5*l**2 - 59*l - 58. What is n(-1)?
-4
Let v(g) = g**3 - 4*g**2 - 11*g - 11. Calculate v(5).
-41
Let a(v) = 47*v - 21. Give a(-4).
-209
Let l(i) = 1285*i - 25665. Give l(20).
35
Let u(s) = -172*s - 1406. What is u(-8)?
-30
Let r(c) = -10*c - 1. Determine r(0).
-1
Let n(z) = 32*z - 453. What is n(12)?
-69
Let n(a) = -a**2 + 8*a + 206. Determine n(19).
-3
Let h(k) = -3*k + 105. Determine h(2).
99
Let i(k) = -205*k - 777. Determine i(-6).
453
Let a(w) = 55*w + 555. What is a(-10)?
5
Let s(x) = x**3 - 9*x**2 - 194*x + 65. What is s(19)?
-11
Let m(n) = -284*n - 17327. Give m(-61).
-3
Let m(p) = -p**2 - 81*p + 109. What is m(-82)?
27
Let f(x) = -2*x**3 - 11*x**2 - 2*x - 13. Determine f(-6).
35
Let v(h) = -h**2 + 24*h - 148. What is v(11)?
-5
Let g(c) = 2*c**2 - 27*c + 8. Determine g(9).
-73
Let a(o) = 13*o - 321. Determine a(-28).
-685
Let i(l) = -l**2 + 4*l + 125. What is i(-8)?
29
Let i(m) = 19*m**2 + 270*m + 16. Calculate i(-14).
-40
Let d(o) = 37*o - 44 | {
"pile_set_name": "DM Mathematics"
} |
16. Let x(n) = -3*n**2. Calculate o(x(f)).
171*f**4 + 2613*f**2 + 1016
Let r(d) = 335*d. Let i be -8 + -1 - (4 + -32). Let k(f) = i*f**2 - 37*f**2 + 20*f**2. What is k(r(a))?
224450*a**2
Let a(c) = -18*c**2 + 5*c - 5. Let m(j) = 75*j**2 - 21*j + 21. Let v = 203 - 182. Let q(h) = v*a(h) + 5*m(h). Let w(l) = -3*l - 1. Give w(q(g)).
9*g**2 - 1
Let j(a) = 24860*a**2 - a - 5074. Let b(s) = 3*s. Calculate b(j(g)).
74580*g**2 - 3*g - 15222
Let q(p) = 10*p**2. Let n(k) = 9 - 2*k**2 + 6 - 1 - 27 - 2*k**2. Give q(n(o)).
160*o**4 + 1040*o**2 + 1690
Let t(z) be the first derivative of z**4/6 - 64*z - 131. Let v(k) be the first derivative of t(k). Let n(s) = 7*s**2. Determine n(v(a)).
28*a**4
Let k(m) = -11455*m. Let y(v) = -4423*v**2 - 2*v + 4425*v**2 + 2*v. What is y(k(f))?
262434050*f**2
Let v(m) = -10*m**2. Let p(h) = 1370047*h. Calculate p(v(i)).
-13700470*i**2
Let p(t) be the first derivative of -6*t**2 - 708. Let j(l) = -167*l**2. Give p(j(k)).
2004*k**2
Let t(l) = -15*l**2. Let a(h) = -60*h - 17. Let q(i) = -79*i - 18. Let s(o) = 4*a(o) - 3*q(o). Give s(t(m)).
45*m**2 - 14
Let x(p) = -360453600*p. Let g(a) = a**2. Calculate x(g(n)).
-360453600*n**2
Let u(i) be the first derivative of 6*i**2 - 189. Let s(x) = 65*x**2 - 45*x + 45. Let k(w) = 3*w**2 - 2*w + 2. Let b(n) = 90*k(n) - 4*s(n). Determine u(b(f)).
120*f**2
Let j(c) = 2933*c - 973*c - 977*c - 956*c. Let l(v) = 86*v**2. Determine j(l(k)).
2322*k**2
Let p = 82 - 68. Let k(b) = p*b**2 + 16*b**2 - 28*b**2. Let a(v) = -132*v**2. Let x(u) = -19*u**2. Let m(y) = 5*a(y) - 36*x(y). Determine m(k(s)).
96*s**4
Let i(j) = -j**2. Let q(c) = c**2 + 4*c - 2. Let s = 35 - 39. Let f be q(s). Let t(u) = u**2 + 1. Let z(h) = 5*h**2 - 2. Let x(k) = f*t(k) - z(k). Give i(x(a)).
-49*a**4
Let t(c) = -107 + 17 - 2*c**2 + 90. Let f(j) = 5040*j. Calculate t(f(a)).
-50803200*a**2
Let n(g) = 2*g**2 + 14696454*g. Let p(s) = s. Determine p(n(t)).
2*t**2 + 14696454*t
Let h(b) be the first derivative of b**6/18 + b**3 + 2*b**2 + 4. Let v(q) be the third derivative of h(q). Let u(g) = -4*g**2 + 4*g**2 + g**2. Give u(v(s)).
400*s**4
Let v(c) = -970*c**2. Let g(k) = -615*k**2 - 1330*k - 95. Let r(f) = -13*f**2 - 28*f - 2. Let y(t) = 2*g(t) - 95*r(t). Calculate y(v(d)).
4704500*d**4
Let a(y) = -28*y + 4. Let r(v) be the third derivative of -v**4/8 + 3*v**3/2 - 10137*v**2. Give a(r(k)).
84*k - 248
Let g(u) = -26*u + 94408 - 94408. Let v(s) = 86*s. Calculate g(v(f)).
-2236*f
Let u(n) = -3*n**2. Let g(f) = -83*f + 660. Let c(k) = 30*k - 225. Let x(h) = -11*c(h) - 4*g(h). Give u(x(r)).
-12*r**2 + 1980*r - 81675
Let x(d) = 3293*d. Let j(p) = 30*p + 33. Determine j(x(t)).
98790*t + 33
Let b(f) = -3*f**2 + 13*f. Suppose 2*s - 6 = -s. Let x(r) = -s*r**2 + 743 - 743. Calculate x(b(c)).
-18*c**4 + 156*c**3 - 338*c**2
Let l(i) = 1166 + 7*i**2 - 22*i**2 - 1166 - 2*i. Let a(x) = 9*x**2. Give a(l(c)).
2025*c**4 + 540*c**3 + 36*c**2
Let p(z) = -33*z**2. Let w(b) = 8191239*b. Calculate w(p(h)).
-270310887*h**2
Let a(d) = -20*d**2. Let x(h) = -h**3 - h**2 + 308*h + 38. Let s be x(-18). Let p(t) be the second derivative of -1/6*t**3 + 0*t**s + 0 + 15*t. Give p(a(r)).
20*r**2
Let d(u) = 243153*u. Let v(l) = -7*l. Calculate d(v(p)).
-1702071*p
Let h(s) = -49*s - 9. Let g(i) = -79449*i. Calculate h(g(l)).
3893001*l - 9
Let m(d) = 8*d**2. Let x be (-3 - -460 - 3) + 5. Suppose -2*n - x = -5*y, 2*y - n + 189 = 4*y. Let c(l) = 93 - y - 2*l**2. Determine c(m(i)).
-128*i**4
Let b = 1913 - -317. Suppose -5*u + 79 = -4*y + 2*y, u + 4*y = 29. Let f(k) = u*k - b + 2230. Let z(s) = 3*s. Calculate z(f(p)).
51*p
Let s(j) = -785*j. Let r(l) be the second derivative of -l**3/3 - 40*l - 16. Calculate s(r(m)).
1570*m
Suppose 15*c - 296 = 7*c. Let n(k) = -c*k - 23*k + 50*k. Let g(a) = 3*a**2. Give n(g(i)).
-30*i**2
Let b(g) = g**2. Let n(z) = 35113*z + 876. Let v be (14/10)/(-7) - (-7295)/(-25). Let c(l) = -362*l - 9. Let r(x) = v*c(x) - 3*n(x). Determine b(r(i)).
133225*i**2
Let z(h) = 146*h - 6. Let n(q) = 46*q + 2. Let r(x) = -2*n(x) + z(x). Let j(u) = 7*u. Give j(r(c)).
378*c - 70
Let t(r) = 3*r**2. Let l = 699 + -697. Let a(n) = 3*n**2 - 4*n**2 + 16*n**l + 2*n**2 + 25*n**2 + 2. Calculate t(a(c)).
5292*c**4 + 504*c**2 + 12
Let z(w) = -3*w. Let d(l) be the second derivative of -2/3*l**3 + 3*l + 14 + 0*l**2. Calculate z(d(m)).
12*m
Let u(q) be the second derivative of 7*q**3/6 + 11*q. Let m(z) be the third derivative of 0*z - 18*z**2 + 1/10*z**5 + 0*z**3 + 0 + 0*z**4. Calculate m(u(c)).
294*c**2
Let s(f) = f**2 - 5. Let i(o) = 3344750*o**2. Give s(i(g)).
11187352562500*g**4 - 5
Let q(t) = 149841*t**2. Let z(r) = 32*r**2 - 3. What is z(q(f))?
718474408992*f**4 - 3
Let x(s) = 757*s**2 - 1451*s**2 + 695*s**2. Let f(z) = -4*z**2 + z**2 + 5*z**2 - 36*z - 13*z. Give x(f(h)).
4*h**4 - 196*h**3 + 2401*h**2
Let p(d) = -3454*d - 8. Let m(t) = -567*t**2. What is p(m(h))?
1958418*h**2 - 8
Let l(o) = -2*o**2. Let g(b) = -15*b + 22290. Give g(l(r)).
30*r**2 + 22290
Let s(k) = -4*k. Let u(x) = -15*x + 1. Let d(n) = 445*n - 4. Let y(g) = d(g) + 4*u(g). Calculate y(s(v)).
-1540*v
Let b(t) be the second derivative of -149*t**3/6 + t**2/2 - 998*t. Let h(k) = 6*k**2. Calculate b(h(i)).
-894*i**2 + 1
Let i(f) = -10*f. Let o(v) = 29*v - 6. Suppose 2*c = 95 + 75. Let a(h) = 410*h - 85. Let l(k) = c*o(k) - 6*a(k). Calculate i(l(x)).
-50*x
Let s(n) = -9*n**2 - 15*n. Let v(a) = 13*a**2 + 24*a. Let g be (-2 - 3 - -5) + -5. Let b(z) = g*v(z) - 8*s(z). Let k(p) = -3*p - 3*p + 4*p. Determine k(b(j)).
-14*j**2
Let u(v) = 260378*v**2. Let h(g) = -261*g**2. What is h(u(d))?
-17694939452724*d**4
Let q(o) = 5*o**2. Let c = 250 + -234. Let f(d) = 22*d - 2*d - c*d. Give q(f(i)).
80*i**2
Let h(n) = 737 + 743 - 1480 - 10*n. Let i(r) = 4*r**2 - 2. Let s(w) = -1. Let u(l) = -i(l) + 2*s(l). Calculate u(h(v)).
-400*v**2
Let r(l) = 174*l - 58*l - 63*l + 944 - 54*l. Let c(m) = m**2. What is c(r(f))?
f**2 - 1888*f + 891136
Let n(v) = -27389*v. Let m(y) = 3*y**2 + 33*y. Determine n(m(o)).
-82167*o**2 - 903837*o
Let x(d) = d**2 + 20*d + 40. Let f(l) = -3*l - 6. Let c(u) = -20*f(u) - 3*x(u). Let b(k) be the first derivative of 49*k**2/2 - 1. What is b(c(a))?
-147*a**2
Let i(f) = 8*f**2. Let d(g) be the second derivative of 7*g**4/6 + 336*g - 2. Determine i(d(v)).
1568*v**4
Let i(z) = -28*z. Let u(h) = 6015434*h**2. Determine u(i(l)).
4716100256*l**2
Let j(r) = 10844*r. Let p(m) = -1905*m. Calculate p(j(k)).
-20657820*k
Let r(m) be the second derivative of -5*m**4/12 - 3*m**2 + 79*m. Let b(w) = 29*w**2 + 34. Let n(d) = -6*b(d) - 34*r(d). Let a(y) = 35*y. Give n(a(v)).
-4900*v**2
Let y(b) = 89*b + 1. Let g(i) be the first derivative of -15*i**2/2 + 337. Calculate y(g(o)).
-1335*o + 1
Let j(l) = 5*l. Let q(t) be the first derivative of -182*t**3/3 + t**2 + 8502. Give j(q(o)).
-910*o**2 + 10*o
Let s(y) = -38*y. Let z(m) = 13*m + 10. Let r be (1 - (-11)/(-3))*(-138)/(-184). Let i(q) = -7*q - 4. Let d(b) = r*z(b) - 5*i(b). Determine s(d(n)).
-342*n
Let d(y) = -y - 2. Let m be d(-12). Suppose 0 = -8*u + m*u - 76. Let x(s) = -u*s + 5*s - 41*s + 30*s. Let q(f) = f. What is q(x(h))?
-44*h
Suppose -b + 3 = -3*v, -231*v + 228*v = 4*b - 12. Let s(u) be the third derivative of v*u + 0*u**3 + 5*u**2 + 0 - 1/4*u**4. Let m(x) = x**2. Determine m(s(j)).
36*j**2
Let s(d) = -2*d**2. Let m(y) = 415113432*y**2. Determine m(s(v)).
1660453728*v**4
Let f(j) = -17*j. Let r(v) = -v**3 - 2*v**2 + 13*v - 2. Let u be r(-5). Let p(n) = 17*n - u*n**2 + 15*n - 32*n. What is f(p(l))?
136*l**2
Let j(f) = 2*f. Suppose 0*r = -4*r + 16, 4*l = 3*r + 744. Let h(y) = -374 + 185 + l - y. Determine j(h(z)).
-2*z
Let y(c) be the first derivative of 155*c**3/3 - 1221. Let b(r) = 2*r**2. Give y(b(m)).
620*m**4
Let r(z) = -3*z. Let h(a) be the third derivative of -a**4/24 - 91*a**3/6 + 8457*a**2. Calculate h(r(b)).
3*b - 91
Let q(u) = -2*u. Suppose 7*l - 4*l = 5*s + 6, -3*l - s + 6 = 0. Let r(v) = 84*v**2 - 22*v**l + 45*v**2. Give q(r(c)).
-214*c**2
Let o(q) = -241*q + 2. Let c(y) = 4*y + 901. Determine c(o(x)).
-964*x + 909
Let v(j) = j**2. Let c(h) = -h**2 - 436720. Give c(v(t)).
-t**4 - 436720
Let o(b) = -415808*b**2. Let r(l) = -9*l**2. Calculate o(r(k)).
-33680448*k**4
Let n(r) = -24594*r - 24593*r - 24597*r + 73794*r. Let y(s) = -s**2 - s - 1. Let | {
"pile_set_name": "DM Mathematics"
} |
vative of w(m) wrt m.
-48*m**2
Suppose 1 = -2*v - 0*v + j, j = -2*v + 1. What is the second derivative of v*g - 4*g + g + 2*g**5 wrt g?
40*g**3
Let d = 9 + -5. Suppose -d*y + 4 = 16, 5*y = 5*b - 40. Find the second derivative of 2*s - s**4 + 5*s**3 - b*s**3 wrt s.
-12*s**2
What is the derivative of -15*h**4 - 10 - 8*h**4 + 45 wrt h?
-92*h**3
Suppose x + 3*m = 3*x + 8, -24 = -4*x - 4*m. Let b(h) = 4*h + 8. Let g(l) = -l + 2 + 1 - 5. Let p(q) = x*b(q) + 9*g(q). What is the derivative of p(z) wrt z?
-1
Find the third derivative of 7*r**3 - 2*r**2 + 6*r - 2*r - 4*r wrt r.
42
Let g(m) be the third derivative of -31*m**6/120 - 7*m**5/20 + 9*m**2. What is the third derivative of g(a) wrt a?
-186
Let h(n) = -n**3 + 6*n**2 + 9*n + 6. Let o(r) = -2*r**3 + 17*r**2 + 27*r + 17. Let f(l) = -17*h(l) + 6*o(l). Find the second derivative of f(u) wrt u.
30*u
Let z(b) be the second derivative of b**7/280 - b**4/24 + 5*b**3/6 + b. Let r(x) be the second derivative of z(x). Differentiate r(u) wrt u.
9*u**2
Let s(w) = 3*w**3 + 9*w**2 + 7. Let u(t) = -3*t**2 - t**2 + 3*t**3 - 3 - 3*t**3 - t**3. Let h(a) = 3*s(a) + 7*u(a). Find the third derivative of h(n) wrt n.
12
Let j(q) be the second derivative of -q**6/120 + q**3/2 - q**2/2 - q. Let r(a) be the first derivative of j(a). Differentiate r(u) wrt u.
-3*u**2
Find the third derivative of 45*j - 11*j**2 - 45*j + 5*j**4 wrt j.
120*j
Let q(z) be the second derivative of -2*z + 0 - 2/3*z**3 + 2*z**2. Differentiate q(u) wrt u.
-4
Let r be -3 + -1 + 3 + 2. What is the first derivative of -w**2 + 0*w + 3 + 0*w - r wrt w?
-2*w
Find the third derivative of -4*z**2 + 8*z**4 + 7*z**2 + 8*z**2 wrt z.
192*z
Suppose 2*i + 5*o + 10 = 0, -5*o - 43 - 2 = -5*i. Suppose -i*y + 4*k = 6, 2*y + 9 = 3*k + 1. Differentiate 2 + 2 - y - 2*d wrt d.
-2
Suppose 0 = 3*d - 0 - 6. What is the third derivative of 2 + l**4 + d*l**4 - l**2 - 2 wrt l?
72*l
Suppose 3*y - 4*h - 9 = 0, 3*y - 12 = -y + 2*h. Differentiate -3*v**3 - v**3 + 3 - 7 + 0*v**y with respect to v.
-12*v**2
Let k(u) = 3*u**2 - 4*u - 3. Let t(x) = 12*x**2 - 15*x - 12. Suppose -9 = -5*c + 66. Let w(d) = c*k(d) - 4*t(d). Differentiate w(n) with respect to n.
-6*n
Suppose 1 = -t + 6. What is the first derivative of 18 - t + d**2 - 3*d**2 - 10 wrt d?
-4*d
Let h(i) be the second derivative of 2*i**3 - 13*i**2/2 - 13*i. What is the derivative of h(b) wrt b?
12
Let x(b) be the first derivative of -b**7/840 + b**5/40 - 4*b**3/3 + 2. Let t(v) be the third derivative of x(v). What is the second derivative of t(f) wrt f?
-6*f
Suppose -30 = 4*i - 2*m, -8 = -i - 5*m + 1. Let t be (4 + -10)/(i/8). What is the third derivative of -4*z**2 - z**6 + 8*z**5 - t*z**5 wrt z?
-120*z**3
Let s(f) = -f**2 + 2*f - 2. Let l be s(2). Let k be (3 + -3)/(l + 0). What is the second derivative of k*a**4 - a + 2*a**4 + 0*a wrt a?
24*a**2
Let n(y) = y - 1. Let c be n(5). Find the second derivative of 4*h + 5*h**2 - 4*h + c*h wrt h.
10
Find the first derivative of -9 + 4 + 6 + u**4 + 1 wrt u.
4*u**3
Let l(i) be the third derivative of 4*i**5/15 - 9*i**3/2 - 26*i**2. Differentiate l(f) with respect to f.
32*f
Suppose c - 5*c + 4 = 0. Let a be (-1 + c)/(3 + -2). Find the first derivative of -4 - m + a*m + 2 wrt m.
-1
Let v(t) = t + 1. Let g(a) = -4*a**2 - 6*a - 11. Let i(u) = g(u) + 6*v(u). Differentiate i(j) wrt j.
-8*j
Let b(f) = -f**2 + 3*f + 2. Let j be b(3). Suppose n - y = -6*y - 19, n - y = 11. Find the third derivative of -2 + 2*d**2 + n*d**6 - 2*d**6 + j wrt d.
480*d**3
Differentiate 28*l**2 + 2 - 28*l**2 + 4*l**3 wrt l.
12*l**2
Let j(t) be the first derivative of 12*t**5 + 73*t**2/2 - 31. What is the second derivative of j(g) wrt g?
720*g**2
Let c(l) be the first derivative of l**7/105 - l**4/3 + 2*l**2 + 4. Let w(p) be the second derivative of c(p). Find the second derivative of w(o) wrt o.
24*o**2
Let j(m) be the third derivative of -11*m**6/120 - 13*m**5/60 - 11*m**2. Find the third derivative of j(c) wrt c.
-66
Find the third derivative of -5*n**6 - 3*n**2 + 4*n**2 + 4*n**6 + 7*n**2 wrt n.
-120*n**3
Suppose -7 = -b - 2. What is the second derivative of -4 + b + w - 1 + 4*w**4 wrt w?
48*w**2
Let f be (-32)/(-2)*1 + 1. What is the second derivative of f*k + 0*k**2 - 22*k - 3*k**2 wrt k?
-6
Let d(q) be the first derivative of q**7/420 + q**4/8 - q**3/3 - 2. Let a(z) be the third derivative of d(z). What is the first derivative of a(c) wrt c?
6*c**2
Let g(p) = p**3 + p**2. Let v(m) = 35*m**3 + 2*m**2 - 2. Let j(n) = 2*g(n) - v(n). Find the first derivative of j(f) wrt f.
-99*f**2
Suppose 3*g = g + 6. Find the third derivative of -16*o**6 + g*o**5 + 12*o**6 - 3*o**5 - 9*o**2 wrt o.
-480*o**3
Let z(s) = -s**5 + 8*s**2 - 4*s. Let r(b) = 3*b**5 - 15*b**2 + 7*b. Let c(f) = -4*r(f) - 7*z(f). Find the third derivative of c(i) wrt i.
-300*i**2
What is the first derivative of 0*d**4 - 1 + 2*d**4 + 5 wrt d?
8*d**3
Find the third derivative of 7*a + 3*a**2 + 2*a**4 - 7*a + 3*a**4 wrt a.
120*a
Let c(i) = 0 + 7*i + 8 + 3*i**3 - 9*i**2 - 2*i**3. Let z be c(8). What is the second derivative of -g**4 - g + z*g**4 - g wrt g?
-12*g**2
Let s(x) = -60*x**3 - 25*x - 15. Let u(y) = y**3 + y - 1. Let j(i) = -s(i) - 25*u(i). Find the first derivative of j(c) wrt c.
105*c**2
Let m(x) be the first derivative of -8*x**3/3 - 6*x**2 + 18. What is the second derivative of m(o) wrt o?
-16
Let i(c) = -c**2 + c + 1. Suppose 0 = 4*g - 4 - 0. Let t(u) = 6*u**2 + 11*u + 3. Let l(h) = g*t(h) - 3*i(h). What is the second derivative of l(v) wrt v?
18
What is the second derivative of -9*y**4 - 2*y**4 + 0*y**4 + 8*y + 0*y**4 wrt y?
-132*y**2
Let o(t) = -t**4 - t**2 + t + 1. Let g = -14 - -20. Let b(k) = 3*k**4 + 6*k**2 - 5*k - 6. Let s(i) = g*o(i) + b(i). What is the second derivative of s(l) wrt l?
-36*l**2
Let s(b) be the second derivative of -b + 3/2*b**2 + 0 - 1/3*b**3. Find the first derivative of s(x) wrt x.
-2
Let r = 14 - 9. Find the second derivative of -3*a**r + 10*a - 6*a**4 + 9*a**4 - 3*a**4 wrt a.
-60*a**3
Suppose -4*w + 6*w - 4 = 0. Let n be 3*(0 - 2/(-3)). Find the first derivative of -2*u + 1 + w - n wrt u.
-2
What is the derivative of -5 + 1 + 29*h + 9 - 1 wrt h?
29
What is the third derivative of 3*l**5 + 4*l**2 - 3*l**2 - 2*l**2 wrt l?
180*l**2
Find the first derivative of -16 + 46 + 11*s - s + 3*s wrt s.
13
Let n(h) = 2*h**4 - 4*h**2. Let a(w) = w**2. Suppose 4*f - 20 = -4*o, 3*o - 5*f - 2 = -o. Let d(p) = o*a(p) + n(p). Find the third derivative of d(s) wrt s.
48*s
Suppose 11 = 2*t + 5*h, -10 = -4*t - 4*h + 6. Let r = t - 1. Differentiate -7*v + 2 + r*v + 3*v with respect to v.
-2
Let d(v) be the third derivative of v**6/8 - v**5/30 + 3*v**2. What is the third derivative of d(m) wrt m?
90
Let k be -1 - 2 - (-3 - 4). Suppose k*d - c = 24, 0 = 3*d - 0*d - c - 19. Find the second derivative of 9*r**d - 4*r - 6*r**5 - 2 + 2 wrt r.
60*r**3
Let k(p) be the first derivative of 8*p**3/3 - 27*p - 21. What is the first derivative of k(r) wrt r?
16*r
Let r(o) be the first derivative of 7*o**6/6 - 4*o**2 - 12. Find the second derivative of r(k) wrt k.
140*k**3
Let p(h) be the third derivative of -h**8/112 + 7*h**4/24 + 4*h**2. Find the second derivative of p(s) wrt s.
-60*s**3
Let q(i) = i**5 + i**3 + i**2 + i - 1. Let w(v) = 6*v**5 + 4*v**3 + 4*v**2 + 5*v - 4. Let p(u) = -4*q(u) + w(u). What is the second derivative of p(d) wrt d?
40*d**3
Let n(h) be the first derivative of -h**8/168 - h**5/60 - 2*h**2 + 4. Let z(a) be the second derivative of n(a). What is the third derivative of z(q) wrt q?
-120*q**2
Let b = 11 + -6. Find the second derivative of -4*h + 6*h**5 - h**5 - 3*h**b + 2*h wrt h.
40*h**3
Suppose -5*f = -2*f - 6. What is the third derivative of 2*r**3 + 6*r**4 + 2*r**f - 2*r**3 wrt r?
144*r
Let h(n) be the first derivative of n**8/42 + n**4/12 + n**2/2 + 6. Let x(t) be the second derivative of h(t). What is the second derivative of x(a) wrt a?
160*a**3
Let p(i) be the third derivative of i**8/20160 - i**6/720 + i**5/60 + 3*i**2. Let w(g) be the third derivative of p(g). Find the first derivative of w(y) wrt y.
2*y
Let n(z) be the first derivative of -39*z**4/4 - 16*z**2 + 1. What is the second derivative of n(t) wrt t?
-234*t
Let y(s) = -3*s**4 + 5*s**2 + 5*s + 12. Let f(z) = -4*z**4 + 7*z**2 + 7*z + 18. Let v(m) = 5*f(m) - 7 | {
"pile_set_name": "DM Mathematics"
} |
pose 127 = 8*i - x. List the prime factors of i.
3, 59
What are the prime factors of (-11 + (-135)/(-10))*719*24?
2, 3, 5, 719
Suppose 19*i = 15*i + t - 22, 2*t = 4. What are the prime factors of 627 + (-4 - 2*(4 + i))?
5
Suppose 73*i = -64*i + 101928. Suppose -65 = -4*h - 4*l + 27, -h = -2*l - 14. Suppose -12*x + h*x = i. List the prime factors of x.
3, 31
Let i(n) = -4*n - 11 - 2*n - 7*n + n**2. What are the prime factors of i(14)?
3
Suppose 4*k - 42 = 2*r - 4*r, 3*r - 30 = -3*k. Suppose -3*j + k*j - 272 = 0. List the prime factors of j.
2, 17
Suppose 0 = -3*l + 148 + 26. Let y = l - 55. Suppose -65 = -y*u + 25. List the prime factors of u.
2, 3, 5
Let v(d) = -981*d**3 - 5*d**2 + 19*d + 42. List the prime factors of v(-2).
2, 11, 89
Suppose 0 = -14*o + 39 + 17. Suppose -5*k - 20 = 0, k + 4 = -o*n - 0*k. Suppose 3*r + 3*b - 297 = n, 2*r = -3*r + 5*b + 505. List the prime factors of r.
2, 5
Let h(j) = -3*j**3 - 19 + 9 - 11*j**2 + j + 10*j + 2*j**3. Let y be h(-12). Suppose y*q = -3*g + 178 + 98, -3*g - 6 = 0. List the prime factors of q.
3, 47
Let u = 31 + -27. Let f(q) = -16*q + 22. Let w be f(u). What are the prime factors of 4/(-2)*w/4?
3, 7
Suppose 3*h + 32278 = -39470. What are the prime factors of h/(-54) + (-2)/(-18)?
443
Let f = -59 - -77. Let k(m) = 89*m - 159. What are the prime factors of k(f)?
3, 13, 37
Suppose -19*b + 4*r + 25727 = -16*b, 5*b + 4*r - 42889 = 0. List the prime factors of b.
3, 953
Let k be (-3 - -10) + (-3 - -1). Let w be (-10 - (-15)/3)*k. Let q = 77 + w. List the prime factors of q.
2, 13
Suppose -3*w - 16 + 19 = 0. Suppose 4*a + 5*q - w = 5, -2*a + 18 = -5*q. Suppose -a*j = -6 - 122. What are the prime factors of j?
2
Let r(t) = -579*t + 2882. What are the prime factors of r(-6)?
2, 7, 227
Let q = -17538 + 18230. Suppose -5*u + 988 = -372. Suppose u - q = -7*y. What are the prime factors of y?
2, 3, 5
Suppose -o - 36 = -g, -104 = -0*o + 3*o + g. Let j = 39 + o. Suppose 3*u - d = j*d + 43, u - 5*d = 31. List the prime factors of u.
2, 3
Let d = -269 - -274. Suppose 0 = -9*q + d*q + 2780. What are the prime factors of q?
5, 139
Suppose -334144 = -582*h + 566*h. What are the prime factors of h?
2, 23, 227
Suppose -8163 = 3*i - 4*s - 79399, 94990 = 4*i - s. What are the prime factors of i?
2, 3, 1979
List the prime factors of 2*39281/22 + -15.
2, 7, 127
Let b(t) = -2*t - 40. Let o be b(-7). Let u(j) = j**3 - 2*j**2 - 7*j + 3. Let l be u(5). Let a = o + l. What are the prime factors of a?
17
Let g = -188 - -213. Let u(r) = 3*r**2 - 62*r + 41. What are the prime factors of u(g)?
2, 3, 61
Suppose -6*u + 145399 = -86465. List the prime factors of u.
2, 9661
Let n be (60/25 - 6/(-10)) + -78. Let w = n - -172. What are the prime factors of w?
97
Suppose f + 1 = -d, 5*f - 7*f = 8. Suppose 0 = -d*v - i + 502, v + 3*i - 21 = 141. List the prime factors of v.
2, 3, 7
Let g(d) = 1402*d**2 - 9*d + 35. List the prime factors of g(4).
3, 7477
Let p(f) = -37*f - 1. Let g be p(2). Let r = 36 - 36. List the prime factors of r + 0 - (g - -8).
67
Let i(v) = -3*v**2 + 73*v - 24. Suppose 0 = 25*s - 0*s - 550. What are the prime factors of i(s)?
2, 5, 13
Let a(f) = -801*f - 6166. What are the prime factors of a(-86)?
2, 5, 7
Suppose -4*k + 3*y + 2*y + 27 = 0, k - 3*y = 12. Suppose -o - k + 0 = -4*s, 2*o = 2*s + 12. Suppose -o*q + 500 = -4*q. List the prime factors of q.
2, 5
Suppose 5*t + 2 = v, 8*t = 3*t - 5. Let i(f) = -28*f - 64. What are the prime factors of i(v)?
2, 5
Let a(j) = 41*j**2 + 40*j - 117. What are the prime factors of a(8)?
11, 257
Suppose -5*n - 40 = -13*n. What are the prime factors of (-2)/(-6)*(-30)/n - -187?
5, 37
Suppose 14 = z - 2*h + 4*h, 3*h = -2*z + 24. Suppose -4*r + 2*n = 2, -z*r - 5*n + 5 = -r. Suppose r*u = -u + 150. What are the prime factors of u?
2, 3, 5
Let i be 1*31 + 33/((-462)/(-56)). Let j = i + 252. List the prime factors of j.
7, 41
Suppose -5*f + 7 = -2*b, 2*b - 17 = 2*f - 5*f. Suppose b*j = -3 - 5. List the prime factors of (1/2)/(j/(-548)).
137
Suppose 3*z - 22363 = -4*n, -2 - 1 = -3*n. List the prime factors of z.
29, 257
Let q(z) be the third derivative of z**6/120 - z**5/12 + z**4/12 + 13*z**3/6 + z**2. Let u be (9/270*10)/1*21. What are the prime factors of q(u)?
5
Let w = -375 - -381. Suppose 339 = -w*v + 2037. List the prime factors of v.
283
Suppose 6*z + 286 = 106. What are the prime factors of ((-10060)/z)/((-4)/(-6)) + -2?
3, 167
Let b = -71015 - -137594. What are the prime factors of b?
3, 22193
Let f = -95128 - -176485. List the prime factors of f.
3, 47, 577
Let z(j) = j**2 - j + 3. Let f be z(0). Suppose 0 = p - 2*p. Suppose -x - f = p, b + 3*x - 37 = x. List the prime factors of b.
43
Let x(d) = -d**2 - 20*d - 19. Suppose -z - 3 = 2*k - 21, 3*z = -5*k + 43. Let n = k + -19. What are the prime factors of x(n)?
7, 11
Let d(j) = -13*j - 56. Let w be d(-5). What are the prime factors of (-1755)/30*(-84)/w?
2, 3, 7, 13
Suppose b = 3*i + 5*b + 14, 2*i - 5*b = 29. Suppose -i*s = -11*s + 36. Suppose -s*v - 2*v + 510 = 0. List the prime factors of v.
5, 17
Suppose 0 = 27*v + 310 - 94. What are the prime factors of 2190/9 - v/(-6)?
2, 11
Let z = 1 + -8. Let i(j) = 21*j**2 + 7*j + 27. What are the prime factors of i(z)?
19, 53
Let a(g) = -g**3 + 22*g**2 - 16*g - 38. Suppose 27*m - 22*m = 105. What are the prime factors of a(m)?
67
Let p be (-118)/(-295)*(5 + 0). Suppose -p*s = -4*i - 275 - 193, s - 213 = -5*i. List the prime factors of s.
2, 3, 19
Let g(p) = 7 - p**3 + 92*p - 46*p + 3*p**2 - 42*p. Let h be g(-3). What are the prime factors of h/(-2 + 3) - 0?
7
Suppose 0 = -30*k + 31*k - 2. Suppose 0 = -2*d + k + 4. Suppose 57 - d = 6*v. What are the prime factors of v?
3
Let l be (7/(-14) - 6)/(2/(-20)). Suppose 245 = 4*m - 2*i + i, 0 = m - i - l. Let x = 119 - m. List the prime factors of x.
59
What are the prime factors of (-356136)/(-10) + 126/(-210)?
3, 1319
Suppose 54*y = -3*v + 55*y + 38567, 2*y - 25714 = -2*v. What are the prime factors of v?
2, 1607
Suppose -2645148 = -50*h - 8*h. List the prime factors of h.
2, 3, 11, 691
Let t(j) = 5*j - 35. Let n be t(7). Suppose 2*w + 18 - 344 = n. What are the prime factors of w?
163
Let q(u) = -385*u + 176. What are the prime factors of q(-26)?
2, 11, 463
Let n = 67 - 65. What are the prime factors of 4*2*(n + 8)?
2, 5
Let j(t) = -453*t + 66. Let n be j(-5). Suppose n = -15*v + 18*v. List the prime factors of v.
3, 7, 37
Let d(u) = 118*u + 1670. List the prime factors of d(15).
2, 5, 43
Let y = 15723 - 10578. Suppose -8*d + d = -y. List the prime factors of d.
3, 5, 7
Let q(v) = 45*v - 91. Let i be q(10). Suppose -31*b + i = -17528. What are the prime factors of b?
577
Let d(s) = -2675*s**3 - 2*s**2 - 13*s - 11. Let k be d(-1). Let o = k - 1676. What are the prime factors of o?
3, 37
Suppose 3*k - 5*q = -7*q + 2069, 3442 = 5*k - 3*q. Suppose k = -10*o + 3339. What are the prime factors of o?
5, 53
Suppose 6*b + 6*b = 116499 + 105657. List the prime factors of b.
3, 11, 17
Let m(y) be the third derivative of -y**6/120 - y**5/10 - 23*y**4/24 - y**3/6 - 9*y**2 - 4. What are the prime factors of m(-8)?
311
Let t(u) = u**2 - u - 87. Let l be t(0). Let a = -93 - l. What are the prime factors of (64/a)/8*-72?
2, 3
Let b = 12 + -2. What are the prime factors of (-1)/((b/(-15))/(-1 + 167))?
3, 83
Suppose 0 = 9*x + x - 14380. Let d = 2374 - x. List the prime factors of d.
2, 3, 13
Suppose 25*h - 24*h - 2 = 0. Suppose -h*v = 17*o - 21*o + 624, -v = -4. What are the prime factors of o?
2, 79
Let h = -186 - -210. What are the prime factors of h/9*(-8232)/(-32) + 0?
2, 7
Suppose 11 = -4*d - 3*z, z = 5*d + 3*z + 12. Let u be d/(429/555 - (-20)/(-25)). Suppose 73*p = u*p - 274. List the prime factors of p.
2, 137
Let m(d) = -2*d**2 + 10*d - 13. Let w be m(6). Let z = w - -33. Let p(y) = y**3 - 5*y**2 - 14*y + 14. What are the prime factors of p(z)?
2, 47
Let o(c) = 7*c - 10. Let n be o(5). Let a(r) = 25 + 4*r - n. List the prime factors of a(9).
2, 3
Suppose 0 = -4*l, -5*b + 2*l + 10 = 6*l. Suppose -p = 3*h - 38, 0*h - b*h - p = -26. What are the prime factors of ((-38)/h*-3)/(1/14)?
7, 19
Let r(n) = -22*n - 17. Suppose -9*v = -38 + 128. List the prime factors of r(v).
7, 29
Let k(w) = -3719*w - 679. List the prime factors of k(-7).
2, 7, 1811
Suppose -1 | {
"pile_set_name": "DM Mathematics"
} |
the form k + v*h**4 + y*h + q*h**3 + l*h**2 and give v.
-93
Rearrange -24 + 2*o - 6*o + 16 + 3*o to t + k*o and give k.
-1
Express (3*t**2 - 3*t**2 + 2*t**3)*(-3*t - 3*t + 8*t + (0 + 2 - 1)*(0*t + t + 0*t)) in the form q*t**2 + v*t**4 + g*t**3 + i*t + s and give v.
6
Rearrange -2*c**3 + c**2 - 3*c**2 + 4*c + 3*c**2 - 3*c + 3*c**4 to the form h*c + u*c**3 + m*c**2 + v*c**4 + l and give v.
3
Rearrange -5*q**4 - 4 - q - 2*q**3 + 6*q**4 + 3*q - q**2 to the form c*q**3 + r*q**2 + w + b*q + k*q**4 and give r.
-1
Express -3*o + o + 3*o - 12*o**3 + 3 + o**4 - 1 as t*o**4 + z*o**3 + u + y*o + p*o**2 and give z.
-12
Express (12*v + 61*v + 15*v)*(1 - 2 + 3) as k*v + g and give k.
176
Express (-3 - 1 + 2)*(-14 + 51 + 36)*(-4 + 2 + 3)*(q**3 + 2 - 2) in the form t*q**3 + u*q**2 + b + g*q and give t.
-146
Express 4*c**3 + 1 + 0*c**4 + c**4 - 2*c**2 + 1 as i*c**3 + w*c + n*c**2 + y + t*c**4 and give i.
4
Rearrange (1 + 1 + 0)*(4*i**2 + 4*i**2 - 4*i**2) - 5*i**2 + 2*i**2 + 2*i**2 to x + y*i**2 + l*i and give l.
0
Rearrange -4 - 4*g - g**4 + 59*g**3 - 57*g**3 - g**4 to the form b*g**3 + k*g**2 + u + w*g**4 + r*g and give k.
0
Express -47 + 22 + 25 - 2*y**2 in the form s*y + g + h*y**2 and give h.
-2
Express (11*q**2 - 16*q**2 + 3*q**2 - 24)*(q + 0*q - 3*q) as i*q**2 + w*q + y*q**3 + n and give w.
48
Rearrange (-1 + 1 + 3*r)*(-r**3 + 2*r**3 - 4*r**3) + (3*r - r + 0*r)*(r**3 + r - r) - 3*r**4 + 3*r**4 + 2*r**4 to f*r**2 + a*r**4 + n*r + j*r**3 + v and give a.
-5
Rearrange -y + y**2 - 6*y - 10*y to the form l + u*y**2 + w*y and give w.
-17
Express 0*y**4 - 6*y**4 - 6*y**4 + (3*y**3 - y**3 + 3*y**3)*(3*y + 4*y - 5*y) + y**4 - y**4 + y**4 in the form o*y**2 + d + j*y**3 + z*y + r*y**4 and give r.
-1
Rearrange -2*q**3 - 251*q**2 + 2*q + 3*q**3 + 247*q**2 to b*q**2 + z*q + m + n*q**3 and give n.
1
Express -55*d**2 - 9 - 2*d**3 + 54*d**2 + d + 0*d**3 - 2*d**4 in the form t + u*d**4 + r*d**2 + y*d + f*d**3 and give u.
-2
Express 0*j**4 - 2*j + 1 - 3*j**2 + 2*j**4 + j**2 + 0 as x*j + v + q*j**4 + z*j**3 + m*j**2 and give x.
-2
Express (2 - 3 + 2)*(0*l - 5*l - 61*l + 6*l) as r*l + t and give r.
-60
Rearrange 0*d**3 - 2*d**3 + 0*d**3 + 9*d to y*d**3 + w*d + h + c*d**2 and give c.
0
Rearrange (4*r**3 + 3*r**3 - 4*r**3)*(3*r - 2 + 2) + r**3 - r**3 - r**4 to z*r + f*r**3 + p*r**2 + g + j*r**4 and give j.
8
Express -2*a**2 + 2*a**3 + a**3 - 2*a**3 as d + t*a + r*a**2 + b*a**3 and give b.
1
Express (4*u + 5*u + 2*u)*(-u + u - u**2) + (2*u**2 + 0*u**2 + 0*u**2)*(0 + 0 + 2*u) - 5*u**3 + u**3 + 3*u**3 as j + o*u + k*u**3 + c*u**2 and give k.
-8
Express (-1 - 2 + 1)*(3*u - 5*u + 4*u) - 13*u + 2 + 27*u - 12*u in the form k*u + a and give k.
-2
Express (0 + 6 + a + 9)*(-4*a**2 + 2*a**2 + 3*a**2) in the form u + d*a + z*a**2 + v*a**3 and give z.
15
Express -32 + 4*k**2 - 35 + 70 in the form o*k**2 + m + t*k and give m.
3
Rearrange -25 + 25 + 9*c to b + a*c and give a.
9
Rearrange 20 - 90*f - 41 + 21 to r*f + h and give r.
-90
Express 2*u**2 + 4 + 1 - 3 as i + l*u + p*u**2 and give i.
2
Express 0*h + 9*h - 2*h as w*h + i and give w.
7
Rearrange 3*j**2 - 18*j**3 - 9*j - 5*j**2 + 11*j to x*j**2 + n + m*j + r*j**3 and give r.
-18
Express (2 - 5 + 1)*(0*i + 2*i - i)*(21*i + 16*i + 57*i) as q + d*i**2 + u*i and give d.
-188
Express 5*z**2 - 5*z**2 + 4*z**3 + (2*z**3 - z**3 - 3*z**3)*(-1 - 2 + 1) + 5*z**3 + 11*z**3 - 6*z**3 in the form s + c*z**3 + h*z**2 + b*z and give c.
18
Rearrange 2*k**2 - 3 + 3 + (5*k - k - 3*k)*(2 - 2 - k) - 8*k**2 + 9*k - 9*k + 5*k**2 + k - k to the form a + q*k**2 + f*k and give q.
-2
Express 33*w - w**2 - w**2 - 13*w as r*w**2 + m + q*w and give q.
20
Express o**3 + 9 - 2*o**2 - 3*o**3 - 21*o + 21*o in the form h*o + v*o**2 + c*o**3 + b and give c.
-2
Express -4 - 13*d**2 + 3*d**3 + 3*d**4 + 1 + d + 11*d**2 - d**4 as r*d + y*d**4 + i*d**3 + a*d**2 + b and give b.
-3
Express (-9*c - 7*c + 12*c)*(2 + 0 + 0)*(2*c + 3*c - 6*c) + c**2 + 0*c + 0*c as o + b*c + h*c**2 and give o.
0
Express -2*n**3 + n - 38 + 4*n**3 + 33 as w + r*n + b*n**3 + l*n**2 and give b.
2
Rearrange 2*u**2 + 1 - 4 - 3*u**2 to the form s + j*u + r*u**2 and give r.
-1
Express (2 - 6 + 2)*(a - 2*a + 2*a) + (0 + 0 - 2)*(-2 - 12*a + 2) in the form g + l*a and give l.
22
Express 6*j**3 - 2*j + 2*j**4 - 367 + j + 365 + j**2 as t + m*j + g*j**3 + f*j**4 + c*j**2 and give m.
-1
Express (2*k**2 + k**2 - 5*k**2 + (-4*k - k + 3*k)*(-2*k - k + k) + 1 + 4*k**2 - 4*k**2 + 2*k**2)*(-10*k + 14*k + 7*k) as p*k + n*k**3 + u*k**2 + z and give u.
0
Rearrange -35 + 35 + 76*d**2 to o*d + k*d**2 + q and give k.
76
Express (19*m - 5*m - 729*m**2 - 14*m)*(-2*m + 2*m + m) as b*m + g + f*m**2 + v*m**3 and give v.
-729
Rearrange -v**2 + 0*v**4 - 1 + 2*v**4 + 5*v**2 to the form t*v**3 + h*v**4 + p*v**2 + a + q*v and give h.
2
Express (-8*t**3 - 14*t**3 + 7*t**3)*(0 - 3 + 4 + 2*t) as n*t + f*t**3 + g + y*t**2 + z*t**4 and give f.
-15
Express -3*i + 0*i + 5*i - 4*i**2 as l*i + z*i**2 + h and give l.
2
Rearrange 550 - 550 - 25*q + 3*q - 2*q + 0*q + 3*q - q - q - 2*q + 3 - 3 + (2 - 4 + 4)*(-3*q - 2*q + 4*q) - q - 4*q + 3*q to the form x*q + s and give x.
-29
Express -37*k - 14*k**2 + 2 - 3*k**2 + 40*k as x + m*k**2 + c*k and give x.
2
Express (-2*n**2 + n**2 - 4*n - n)*(-n**2 - 5*n**2 + 5*n**2) as i*n**4 + b*n**2 + v + w*n + f*n**3 and give f.
5
Rearrange -25*c + 8*c - 8*c + 4*c + c - 3*c + (3 - 1 - 1)*(-2 + c + 2) to x + v*c and give v.
-22
Rearrange 7 - 6 - 2*f - 3*f + (-2 + 3 - 2)*(0*f + 5*f - f) to the form v*f + g and give v.
-9
Rearrange 4*x**2 - x**2 + 0*x**2 - 3 + 3 - 2*x**2 + (-2*x - x + 6*x)*(3*x - 6*x + 2*x) + 1 - 2*x**2 - 1 to the form b*x**2 + l*x + w and give b.
-4
Rearrange (2*r - r**3 - 2*r)*(106*r + 4 + 5 - 7) - 4 + 2*r**4 + 4 to the form m*r**4 + b*r + i*r**3 + g*r**2 + a and give i.
-2
Express (-5*l + l + 3*l)*(-4 + 2 + 1) + (0 + 2 - 1)*(-3*l - 5*l + 3*l) as g*l + b and give g.
-4
Rearrange (-4 + 0 + 6)*(2*x**2 + 4*x**2 - 4*x**2) + 8*x**2 + 2*x**2 + 0*x**2 + 0*x + x**2 + 0*x to b*x + s + z*x**2 and give z.
15
Express -2*z**2 + 0*z**2 + 0*z**2 + (0 + 0 - 2*z)*(0*z - z + 2*z) + (0*z - 3*z**2 + 0*z)*(4 + 2 + 0) in the form q + n*z**2 + p*z and give n.
-22
Express (-y**2 + 0*y + 0*y)*(-2*y + y + 2*y) + (2*y - 2*y - 3*y)*(3*y - 3*y - y**2) in the form s*y**2 + o*y**3 + i + h*y and give o.
2
Rearrange 6 - g**3 + g**2 + g**2 - 5 + 3*g**3 to the form j*g + r*g**2 + x*g**3 + u and give r.
2
Rearrange 0*h**2 - 2 + 5 + 2*h**2 + 3*h**3 to a*h**3 + j*h + o*h**2 + c and give a.
3
Express -39*m + 19*m + 5*m as y + t*m and give t.
-15
Express -3*p**4 + 1 + 0 + 5*p**4 + (p**2 + 4*p**2 - 2*p**2)*(4 - 4 - 9*p**2) in the form q*p**3 + h*p**2 + l*p + k + s*p**4 and give s.
-25
Express (0*q + 0*q - q)*(q - q - q)*(2 + 2 - 5) in the form p*q**2 + c*q + u and give p.
-1
Express (20 - 20 - 2*u**2)*(-3*u**2 - 2*u**2 + 6*u**2) in the form o*u**4 + s*u + f + a*u**2 + z*u**3 and give o.
-2
Express (-g + 2 + 2 - 5)*(g + 4*g - g) in the form l*g**2 + h*g + a and give l.
-4
Express (-5 + 4 - 2)*(0*s + 13*s - 2*s) in the form j*s + w and give j.
-33
Rearrange (-1 + 3 + 0)*(56*r**4 + 2*r**4 - 5*r**4) to o*r**3 + v*r**2 + q*r + t + j*r**4 and give q.
0
Express -5*g**3 + 2*g + 4 - 6 + 0 - 2*g**4 + g as b*g**4 + w*g**2 + u + m*g + s*g**3 and give w.
0
Rearrange (2 + 18 - 6)*(-h + h - 4*h**2) to the form r + q*h + m*h**2 and give m.
-56
Rearrange 23 + 26 - 49 + 36*h to the form u*h + s and give s.
0
Rearrange (-33*g + 952 - 952)*(2*g + 4*g - 4*g) to i + v*g**2 + m*g and give m.
0
Rearrange -5 - 10 + 22 - 5 - 41*q**2 to g*q + c + n*q**2 and give n.
-41
Rearrange 0 + 5*g**3 - 5*g**3 - 2*g**2 + 2 + g**3 + g to the form w*g**3 + d*g**2 + b*g + x and give b.
1
Express -88*l - 67*l + 9*l as m + x*l and give x.
-146
Express (2 - 2 - 3*u**2 + (6*u - 3*u - 4*u)*(2*u - 2*u - 2*u))*((0 - 1 - 1)*(2*u - 6*u + 2*u) - u + 4*u - 4*u) in the form o*u**3 + g + z*u**2 + i*u and give o.
-3
Express 1 - 2*d**3 + 6 + 2 + (0 - 2*d + 0)*(-3*d + 3*d + d**2) as s*d + b*d**3 + c*d**2 + g and give g.
9
Rearrange -j**4 - 113*j + 113*j + 2*j**3 + 2 to the form g*j**3 + q + n*j + o*j**4 + l*j**2 and give g.
2
Express -6 + 4 + 4*u**3 - 16*u**2 + 16*u**2 - u as f*u**3 + x*u + w*u**2 + d and give f.
4
Express 1 + 6*u**3 - 6*u**3 - 3*u**3 as m*u + f + v*u**2 + l*u**3 and give l.
- | {
"pile_set_name": "DM Mathematics"
} |
5
b
Let t be (-9)/(-2) + (10 + -20 - -4). Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) 23 (d) t
b
Let m = -15.3 - -16.19. Let t = m + 0.11. Let g = 10 + -7. Which is the nearest to t? (a) g (b) 1 (c) -2
b
Let r be ((-30)/(-25))/(3/100). Let u be (-20)/110 - r/(-99). Suppose -5*d - 6 = -2*d. What is the nearest to u in 3/7, d, 0.5?
3/7
Let k = 8.5 + 6.5. Let z = k - 19. Which is the closest to -0.1? (a) 3 (b) z (c) 0.06
c
Suppose 0 = -2*n - 3*y + 18, -21*n + 3*y = -25*n + 30. What is the nearest to n in 8, -0.1, -1/3?
8
Suppose 4*c - 5 = 9*c. Let d = c + 5/3. Let f(l) = l**3 - l + 1. Let k be f(0). What is the closest to k in d, 0.3, -0.4?
d
Suppose -80*m - 91*m = -180*m. Which is the closest to m? (a) -3/4 (b) 2 (c) 0.1 (d) 0
d
Let m = 2.3 - 1.8. Let r = 2 - m. Let g = r - 1.5. Which is the nearest to 1? (a) 3 (b) -1/6 (c) g
c
Let v = 3038/95 + -32. Which is the nearest to -2/5? (a) -0.04 (b) v (c) -4
a
Let n = 0.0612 - 0.3612. Which is the nearest to 0.1? (a) -0.1 (b) -0.05 (c) n
b
Let y be 6 + -2 - (-26)/(-7). Let w = -38 + 27. Let l = w - -15. Which is the closest to y? (a) -4 (b) l (c) 0.4
c
Let m = -0.01 + -0.16. Let z = 29 - 29.1. Let n = z - m. What is the nearest to -1 in n, -3, 0.4?
n
Let q = 0.843 + 1.001. Let o = -0.156 - q. Let h = 0.25 + 0.05. Which is the nearest to o? (a) h (b) 3 (c) -3
c
Let j = -0.3 + 1.3. Let u = -2155 - -2154.91. Which is the closest to -1? (a) u (b) j (c) -4
a
Let y(a) = 2*a**2 + 24*a - 2. Let d be y(0). Let c be (-56)/(-90) - (-4)/(-10). What is the nearest to -1/2 in 4, d, c?
c
Let r = -0.1 + 2.1. Suppose 3*x + 13 = 2*d + 5, 0 = 2*d + 4. Which is the nearest to r? (a) -1/4 (b) x (c) -3
a
Suppose y = 3*y - o - 5, 0 = -y - 3*o + 6. Suppose 4*i - 2 = y*i. Let v be (-7)/2 + 2/(-4). Which is the nearest to 0? (a) 3 (b) i (c) v
b
Let t = -64 - -68. Suppose 15 = -3*m, -7*q + 3*q + 1 = -m. Which is the nearest to 0? (a) 1/5 (b) t (c) q
a
Suppose -5*i + 8 = -i. Let r = -7.624 + 7.5. Let x = r + -0.076. What is the nearest to 1 in i, 0.5, x?
0.5
Let m = 0.01 - 2.01. Let q = -10/73 + -23/365. What is the nearest to q in 0.2, 0.3, m?
0.2
Suppose -3*p - 4 = 5, -u + 5*p = -16. Which is the nearest to 1? (a) u (b) -0.09 (c) 1/11
a
Let p = 3 + -2.7. Let j = -0.4 + 0.3. Let f = -1531/7 - -219. Which is the nearest to 1? (a) p (b) f (c) j
a
Let v = -0.9 - -1. Let u(p) = 3*p - 10. Let x be u(4). Suppose 3*r = -0*h + 2*h - 5, 19 = -5*r - x*h. Which is the closest to v? (a) -1 (b) r (c) 4
a
Let g be ((-30)/4 + 8)*1/3. Which is the nearest to -1/6? (a) 1 (b) 0.3 (c) g
c
Let z = -1.3 + -2.7. Let p = 6.12 - 6. Let m = p + -0.12. What is the nearest to 3 in m, z, -0.3?
m
Let w = -0.473 + -0.527. What is the nearest to 1 in 2/7, w, -0.1, 0.4?
0.4
Let p be 5*49/35 - 7. What is the nearest to p in -0.6, 2/7, 3?
2/7
Let w = -5 + 4. Let h be 10/(-8) + (3 - 2). Let k = -610/3 - -205. Which is the nearest to h? (a) 1/3 (b) w (c) k
a
Let s = -4/23 + -49/115. Let l be (-4)/(-44)*(0 - 2). Which is the closest to -1? (a) l (b) s (c) 5
b
Let y = 189.4 + -189. Which is the nearest to -2/15? (a) 0 (b) 0.2 (c) y
a
Let l = 11 + -6. Let n = 64 - 64. Let q = -9 + 9.1. Which is the closest to q? (a) 0.3 (b) l (c) n
c
Let u = 0.063 + 0.037. Which is the nearest to u? (a) 0.2 (b) -0.2 (c) 5/3 (d) -7
a
Let t = 218.397 - -0.503. Let v = -240 + t. Let g = v - -21. Which is the nearest to 1? (a) 4 (b) g (c) 1
c
Let w = 0.7 - -0.1. Let h = 0.4 - w. Let r = 16.79 - 12.79. What is the closest to 1 in h, 0.5, r?
0.5
Let l = 2.7 - -0.3. Suppose 3*k - 9 = 3. Let d be -2 + 4 - 7/k. What is the closest to d in 1/5, -5, l?
1/5
Let t = -32 - -33.4. Let n = 1 - t. Let g be ((-4)/10)/(7/5). Which is the nearest to g? (a) 2/7 (b) 3 (c) n
c
Let s = -1.57 + 1.77. Let o = -7 - -6.6. Which is the closest to s? (a) 2 (b) o (c) -2/3
b
Let m(o) = 2*o**3 - 16*o**2 - 19*o + 5. Let i(u) = u**2 - 17*u - 9. Let g be i(18). Let p be m(g). Which is the nearest to -2/7? (a) 25 (b) p (c) 0.4
c
Let f be (-1*(-2 + 1))/(-1 - -2). Which is the nearest to f? (a) 0.3 (b) 1/5 (c) 4 (d) -7
a
Let q = 0.6 - 3.9. Let o = q - -3.7. Which is the nearest to -1/3? (a) 2/7 (b) o (c) -1
a
Let l = -11 + 5. Let p = -13 - l. Let o = p + 8. What is the closest to -9 in o, 0.4, -0.2?
-0.2
Suppose -3*h + 4*y - 5*y + 19 = 0, -h + 2*y = -18. Suppose h*f + 20 = -12. Which is the closest to 2/3? (a) f (b) 4 (c) 0.6
c
Let c(f) = 2*f**2 + 5*f. Let n be c(4). Let v be 6/n*(-80)/(-60). What is the closest to -0.1 in 1/9, 2/11, v?
1/9
Let d = 1.71 + -1.2. Let c = -0.01 + d. What is the closest to -1 in 2, 0.2, c?
0.2
Suppose -i - 5*t + 8 - 2 = 0, i + 12 = 4*t. What is the nearest to -10 in 4, 2, i?
i
Let d = 8 - 8. Let n = 1 - d. Let w = 9 - 5. Which is the closest to n? (a) -0.1 (b) -3 (c) w
a
Let y = 52 - 261/5. Let w = -64.7 + 61. Let i = w - -4. What is the nearest to y in -2, i, 1/2?
i
Let v = 80 + -135. Let l = 54 + v. What is the closest to -1 in 5, 4, l?
l
Let n = -47.938 + -0.062. Let b = n - -48.1. Let u be 0 - 0/(2 + 0). What is the nearest to b in -3, u, 4?
u
Suppose 0 = 3*j - 15, 5*f = 3*j + 2*j + 65. Let z = f - 16. Let n = -0.3 + 0.4. What is the nearest to z in 0.3, -1, n?
0.3
Let p be -2 + (-5)/(-1) - 3. Suppose p*i - i - 10 = 0. Let u be ((-12)/30)/((-12)/i). Which is the closest to 2/3? (a) u (b) 1/5 (c) -5
b
Let a = 2/415 - -804/5395. Let i = -107 + 101. What is the nearest to 0.1 in i, 5, a?
a
Let l = 22 - 25.8. Let k = l + 5. Let r = k - 0.7. Which is the nearest to -0.2? (a) r (b) -2/3 (c) 5
b
Let r = 23 - 18. Let f be (-1 - 0)/1 + -1. Let t = -209/7 + 207/7. Which is the closest to 0.3? (a) t (b) f (c) r
a
Let r be 1/4 + (-3267)/12. Let u = r + 3534/13. Suppose -6*j + 4*j - 2*j = 0. Which is the closest to j? (a) -1 (b) 1/8 (c) u
b
Let i = -0.1 + 0.1. Suppose 3 = 3*u + 4*h, -4*u - 3 = -2*h + 5*h. Let k be ((-5)/15)/(1/u). Which is the nearest to k? (a) i (b) 0.4 (c) -2
b
Let d = 75 + -16. Let x = -58.9 + d. Let o = -0.4 - -0.3. Which is the nearest to x? (a) 0.4 (b) o (c) -0.3
b
Suppose -2*g + 5*m = 13, 3*g - 8 = 2*m - 11. What is the nearest to -0.1 in g, -1, -3/2?
-1
Suppose -935*f = -939*f - 16. Which is the closest to -15.5? (a) 3 (b) 6/5 (c) f
c
Let w = -24 + 24.5. Let y = 0.6 - w. Which is the closest to y? (a) 4 (b) 5 (c) -0.1
c
Let f = 0.088 + 7.712. Let m = f + -3.8. Which is the nearest to 0.1? (a) -3 (b) m (c) 1
c
Let z = -10 + 15. Which is the closest to 35? (a) z (b) -3 (c) 3/4
a
Suppose 0 = -15*d + 14*d - 4. Let v = 9 - 10. Let g be v + -1 + (-48)/(-40). Which is the closest to -0.2? (a) -1/9 (b) g (c) d
a
Let f(y) = y**3 - 12*y**2 + 8*y + 9. Let v be f(11). Let t be 16/(-28)*28/v. Let z be (-5)/2*(-9)/15. Which is the closest to -2/3? (a) z (b) 0.1 (c) t
b
Let q = 345 - 348. Let k be 4/(-6) + (-11)/(-3). Let g = 0.2 + -0.6. Which is the closest to q? (a) k (b) 4 (c) g
c
Suppose 5*z = -3*z + 392. Let p = z + -50. Suppose -2*d - 3*c = -20, 0*c - 2*c = -5*d + 31. What is the closest to p in 2/7, -0.5, d?
-0.5
Let n = -341 + 306. Which is the nearest to -0.1? (a) n (b) -3 (c) 0.2
c
Let d = -264 + 268. What is the closest to 3/4 in -3/7, d, -3, -4?
-3/7
Let j be (-72)/(-1134) + 2*2/(-14). Let m = -1.9 - -5.9. What is the nearest to -1 in j, m, 2?
j
Let y = 3.1 - 3. Let t = -2.954 - 0.11. Let i = t - -0.064. Which is the closest to 0? (a) i (b) y (c) -1/4
b
Let f = 0 + -1. Let u = f - 0.8. Let z = 0.8 + u. Which is the closest to z? (a) -1/4 (b) -2/17 (c) 5
a
Let k = 1650 - 1654. Which is the closest to 0? (a) k (b) -1 (c) -2/31 (d) -0.7
c
Let w = -1541/5 - -308. What is the nearest to -4 in 0.04, w, 2, 0.2?
w
Suppose z + 5*q = 25, -z + 7*q - 10 = 5*q. Which is the nearest to z? (a) -1.2 (b) -2/9 (c) -0.4 (d) -1
b
Let z be (1 - 5) + 3 - (-8)/6. Which is the closest to 2/5? (a) -1.1 (b) -2/15 (c) z (d) -0.1
c
Let u = 156 + -161. What is the nearest to 4 in -1/3, u, -1/4, 0.2?
0.2
Let a(k) = k**3 - 2*k**2 - 8*k + 1. Let m be a(4). What is the closest to 1 in -0.5, m, 7, -3/7?
m
Let k = 12/25 - 21/200. Let l = -0.39 - -0.09. What is the closest to -1/4 in -18, k, l?
l
Let l = 2568 - 2560. Let v = 3 + -1. What is the nearest | {
"pile_set_name": "DM Mathematics"
} |
w assuming w is positive.
w**(-71/14)
Simplify (m**(-1/5)/m)**(2/57)*m**(-4)/m**7 assuming m is positive.
m**(-1049/95)
Simplify h*h**(-20)*h**(-3/2)*h assuming h is positive.
h**(-39/2)
Simplify k/(k*k/(k*k**5)*k)*k*k/(k*k**(1/7))*(k*k*k**(-5))/(k/k**4) assuming k is positive.
k**(34/7)
Simplify (z**(-4)/z**(2/19))/(z*z*z/(z*z**(-5))*z*(z**3/z)/z) assuming z is positive.
z**(-249/19)
Simplify ((n*n/n**(3/5))/n)**(-28) assuming n is positive.
n**(-56/5)
Simplify (w/(w**5/w))/w*w*w*w**1*w*w*w**(-1/3)/(w/((w**(-1)/w)/w)*w) assuming w is positive.
w**(-13/3)
Simplify ((k*k**0/k)/k)**10*(k**0)**(14/3) assuming k is positive.
k**(-10)
Simplify (x*x/x**(-9))/x**(-6/13)*(x**1)**(-5) assuming x is positive.
x**(84/13)
Simplify (n**15/n*n)/(((n**(4/3)/n*n*n)/n)/n) assuming n is positive.
n**(44/3)
Simplify (l*l/l**(3/8))/l**(-1/6) assuming l is positive.
l**(43/24)
Simplify ((n/(n/(n*n**8/n)))/n*n*n)**36 assuming n is positive.
n**324
Simplify x**(-33)*x**(7/6)/x assuming x is positive.
x**(-197/6)
Simplify (w/(w*w*w/(w/w**6))*(w*w**(-4/3))/w)/(((w*w*w**0*w)/w*w)/(w**(-3/2)*w)) assuming w is positive.
w**(-71/6)
Simplify j**17/j**(1/27) assuming j is positive.
j**(458/27)
Simplify ((b*b/(b*b*b**(5/4)))/((b**(1/12)/b)/b))**24 assuming b is positive.
b**16
Simplify h**(-2/3)*h*h*h**(2/13)*h**(-1/2)/h**(1/8) assuming h is positive.
h**(269/312)
Simplify ((v**0*v)/(v/(v*v*v**2/v*v*v)))**9 assuming v is positive.
v**45
Simplify ((q/q**(-21)*q)/q)**(2/39) assuming q is positive.
q**(44/39)
Simplify (n**(-2/7))**(-11/5) assuming n is positive.
n**(22/35)
Simplify (v**(-1)/v)**(15/11)/((v*v**(-2/7)*v)/v**(2/3)) assuming v is positive.
v**(-872/231)
Simplify (p/(p**(20/9)*p))/(p**33*p) assuming p is positive.
p**(-326/9)
Simplify (d**(1/31)*((d*(d/((d**22*d)/d*d))/d)/d)/d)**(6/11) assuming d is positive.
d**(-4458/341)
Simplify (m**(-2)/m*m)**(-3/20)/(m**(-2))**(-1) assuming m is positive.
m**(-17/10)
Simplify (b/(b**(31/5)/b))**(-18) assuming b is positive.
b**(378/5)
Simplify (v/v**(1/3))/(v**(-3)/v)*(v*v**1)/v**(-4) assuming v is positive.
v**(32/3)
Simplify (t/((t*t*t/t**(-1/32))/t))/t*t**(-12) assuming t is positive.
t**(-449/32)
Simplify (a/((a/a**5)/a)*a/(a**(-1)/a*a))**(-30) assuming a is positive.
a**(-240)
Simplify (m**(-25))**(-12) assuming m is positive.
m**300
Simplify (q*q**4/q)**(-46) assuming q is positive.
q**(-184)
Simplify (l**(-1/4))**(1/68)*l**10*l**10 assuming l is positive.
l**(5439/272)
Simplify (x**(-1)/x**14)**1 assuming x is positive.
x**(-15)
Simplify ((y**(-1))**(2/119))**(-1) assuming y is positive.
y**(2/119)
Simplify a/a**(-12)*a**(-2/23) assuming a is positive.
a**(297/23)
Simplify (n**(2/33)*n)/((n/(n/(n/((n/n**(13/4))/n*n))))/n) assuming n is positive.
n**(-157/132)
Simplify i**16*i**23 assuming i is positive.
i**39
Simplify ((n**(-1))**19)**(-22/7) assuming n is positive.
n**(418/7)
Simplify x**(-3)*(x/((x/(x/x**5)*x)/x))/x*(x*x**(-1/2))/(x*x**(-3/7)/x*x) assuming x is positive.
x**(-113/14)
Simplify l*l/(l*(l**(2/21)*l)/l)*l**(-1/26) assuming l is positive.
l**(473/546)
Simplify (a**(3/7)*a)**(-4/3) assuming a is positive.
a**(-40/21)
Simplify m/(m/((m*m/(m*m**(-2/11)))/m))*(m*(m**(-4)*m*m)/m*m*m)/m*m**(2/9)*m/m**3 assuming m is positive.
m**(-257/99)
Simplify (t**5*t*t)/t*t**2/t*(t**(2/9)/t)/t**8 assuming t is positive.
t**(-16/9)
Simplify (x**9)**(5/6) assuming x is positive.
x**(15/2)
Simplify (g**(3/7)*g/(g/(g*g**(1/2)*g)))/(g**(-2)*g**(-5/6)) assuming g is positive.
g**(121/21)
Simplify (u**(2/3)/(u*(u/(u*u**0))/u*u))/(u/(u*u**0/u))**(-6) assuming u is positive.
u**(17/3)
Simplify (v**(-2/19)/(v**5*v))/(v**(1/3))**(4/9) assuming v is positive.
v**(-3208/513)
Simplify (a**(2/7)*a)**(6/7)/(((a*a**(-1/3)/a)/a)/a**(7/3)) assuming a is positive.
a**(701/147)
Simplify ((w/((w**(-5)/w)/w))/w**(-2))/((w/((w**2/w)/w))/w*w/w**3) assuming w is positive.
w**12
Simplify ((r**(1/2))**38)**(-2/11) assuming r is positive.
r**(-38/11)
Simplify (((r*r**20)/r)/r)/r*r**(-25) assuming r is positive.
r**(-7)
Simplify (o**(2/7)*o/(o*o**(3/2)))/(o**(-1/5)*o/(o**(-4)*o*o)) assuming o is positive.
o**(-281/70)
Simplify o**15/o**(2/61) assuming o is positive.
o**(913/61)
Simplify (c**0)**(-3)/((c/(c*(c/(c*(c*c**(-5))/c))/c))/c**(-3)) assuming c is positive.
c
Simplify ((l*l*l**10)/(l*l**(-6)*l))/(l/l**1)**(18/11) assuming l is positive.
l**16
Simplify (x**(-1/2)*x/(x/(x/x**(2/9))))/(x*((x/(x*(x*x/x**5)/x*x))/x)/x*x*x**(-1/6)) assuming x is positive.
x**(-23/9)
Simplify w**(-5/9)*w*w*w**(1/20)*w assuming w is positive.
w**(449/180)
Simplify (l*l*l/l**2)**(-24) assuming l is positive.
l**(-24)
Simplify (l**(-1))**(-2/17)/(l*l/l**1*l*l)**(-15/11) assuming l is positive.
l**(787/187)
Simplify ((((r*(r/r**(-2))/r)/r)/r)/r)**47/((r/(r/(r/r**(1/5)*r))*r)/r*r)**(-2/25) assuming r is positive.
r**(28/125)
Simplify (a**(-2)*a*((a/(a/(a/((a*(a**1/a)/a)/a)*a))*a)/a)/a*a*a)/(a/a**(-6)*a**(-1/8)) assuming a is positive.
a**(-31/8)
Simplify a/((a/(a**(-6/5)/a))/a)*((a**(-7)/a)/a)/a*a*(a*a**(-1))/(a/a**6) assuming a is positive.
a**(-26/5)
Simplify (p**(-6)/p)**(-7/5) assuming p is positive.
p**(49/5)
Simplify n**3/(n/(n/(n/(n*n**(-15)*n))*n)*n) assuming n is positive.
n**(-11)
Simplify r/(r/(r*r**(-18))*r)*r*r**29*r assuming r is positive.
r**13
Simplify v**4/(v*v*v**10/v)*v**4*v*v/(v**1/v) assuming v is positive.
1/v
Simplify (z/(z*z**0))**(-1/6)*(z**1/z)**(-11/3) assuming z is positive.
1
Simplify (k**(-34))**(-1) assuming k is positive.
k**34
Simplify (((h/(h**0*h))/h)/((h/(h/h**(2/11))*h)/h))**35 assuming h is positive.
h**(-455/11)
Simplify v**(-8)*v**6*(v*v**(-2/7))**(5/4) assuming v is positive.
v**(-31/28)
Simplify ((x**1/x)/x*x)/(x**(-8)*x) assuming x is positive.
x**7
Simplify ((i/i**(-2/7))/i)**(2/19)*(i*i**1*i)**(-7) assuming i is positive.
i**(-2789/133)
Simplify q**10/q*((q/q**7)/q)/q*(q*q/q**5)/(q/(q**4*q)) assuming q is positive.
q**2
Simplify (v*v/(v*v**(-32)))**(-1/14) assuming v is positive.
v**(-33/14)
Simplify v**(-10)/(v**(1/3)*v)*v*v/(v/v**6)*v**(-4/11) assuming v is positive.
v**(-155/33)
Simplify m**7*((m/((m/(m/(m/(m*m/m**(-4)*m)*m))*m)/m))/m)/m*m*m*m*m**(-1/5)*m*m*m*m**(-3)*m*m assuming m is positive.
m**(79/5)
Simplify f**16/((f**(-5)*f)/f) assuming f is positive.
f**21
Simplify (x/x**(-2))**(7/4)/(x**(-3)/(x*x*x**(-5)*x)) assuming x is positive.
x**(25/4)
Simplify ((x/x**(1/2))/x*x*x/(x/(x/(x*x**(-3/4)*x))*x*x))**(2/67) assuming x is positive.
x**(-7/134)
Simplify ((o**(2/7)/o)/(((o/(o**(2/7)/o))/o)/o))/((o*o**(-2/7)*o)/(o/o**(-1))) assuming o is positive.
o**(-1/7)
Simplify (g**3*g**3)**(25/3) assuming g is positive.
g**50
Simplify ((j*j**(2/7))/j)**28*j**5*j**(3/5)/j assuming j is positive.
j**(63/5)
Simplify ((b*b**(1/4))/(b**(2/25)/b))/((b/(b/(b*(b/b**6)/b)))/(b/(b*b*((b**(2/27)*b)/b)/b))) assuming b is positive.
b**(19159/2700)
Simplify (y/(y**(-3/7)*y*y)*y**(4/3))**49 assuming y is positive.
y**(112/3)
Simplify (((x/(x*x**(-9)/x))/x)/x*x*x**1)/((x*x**(-3/4))/(x*x**(2/13)*x)) assuming x is positive.
x**(619/52)
Simplify (u/(u/(u*u**(2/5)*u*u)))/(u/u**(-3/8))*u**(-1)*u**(-6/7) assuming u is positive.
u**(47/280)
Simplify (x**(2/3)*x/(x*x**(-4)))/(x**1)**(-20) assuming x is positive.
x**(74/3)
Simplify h**(-4)/h**(-2/3)*h**(-5/2)*(h/(h*h**(-2/5)))/h assuming h is positive.
h**(-193/30)
Simplify ((y/(y*y**(-1/3)*y*y))/(y/(y/y**(1/2))))/(y*y**(3/5)*y*y**5) assuming y is positive.
y**(-293/30)
Simplify ((z/(z/(z/((z**(1/6)*z)/z))*z))/z)/(z**(5/11)*z) assuming z is positive.
z**(-173/66)
Simplify ((y*y**(-11))/y*y**(-2))**(-1/16) assuming y is positive.
y**(13/16)
Simplify z**(1/21)*z*z*z**9*(z*z/z**6*z)/z*z**(-2/5) assuming z is positive.
z**(698/105)
Simplify (i**(2/5)/i)**(-35)/(i/i**(1/5)*i*i*i/i**(-2/23)) assuming i is positive.
i**(1968/115)
Simplify (w/w**(1/12))**(1/32) assuming w is positive.
w**(11/384)
Simplify (d**28/d)/(d/d**(-4/9)) assuming d is positive.
d**(230/9)
Simplify (a*a**(5/2))/a**(5/7) assuming a is positive.
a**(39/14)
Simplify w**(-9)*w*w/(w/((w*w**(1/5))/w)) assuming w is positive.
w**(-39/5)
Simplify (n/(n/n**(-7)*n)*n*n*n**6*n*n*n)**(-40) assuming n is positive.
n**(-120)
Simplify ((n*n/(n/n**2*n)*n*n*n)/n*n*n)**40/(n**(2/7))**46 assuming n is positive.
n**(1588/7)
Simplify (y**(-1)*y)/(y/(y/(y*y/(y | {
"pile_set_name": "DM Mathematics"
} |
4 - (-759)/h composite?
False
Let a(b) = 4*b - 13. Let o be a(2). Let r be -2 + (-96162)/(-30) + 2/o. Let s = r - 1660. Is s a prime number?
True
Let s(r) = -32*r**2 - 6*r + 2. Let y(l) = -l**3 - 15*l**2 - l - 22. Let n be y(-15). Let z be s(n). Is (0 + -1)*z/12 composite?
False
Let u = 10 - 10. Let w be (u/(-2))/((-3)/1*1). Suppose 3*p - 519 = 2*b + 2902, -p - b + 1137 = w. Is p composite?
True
Suppose k + 3*k - 338650 = -2*f, 4*f - 4*k - 677348 = 0. Is f prime?
False
Is (-8)/3 + 2906959*21/693 prime?
False
Let i(d) = -d**3 + 3*d**2 + 23*d - 16. Let o be i(6). Suppose -o*j = 4*j - 34758. Is j prime?
True
Let c(n) = 1122*n**3 + 5*n**2 - 6*n - 3. Suppose -7*v = 2*l - 10*v + 8, 2*v - 14 = -3*l. Is c(l) composite?
True
Let r = -610259 + 908354. Suppose 15*c - 106515 = r. Is c composite?
True
Let i(p) = p**3 + 22*p**2 + 10*p + 17. Suppose 3*a - 38 = 33*d - 34*d, a - 2*d = 8. Is i(a) prime?
False
Suppose -18*m - 10 = -13*m. Let z be -320 + (-1 - 8/m). Let j = 931 + z. Is j a prime number?
False
Suppose -17*z = -15*z - 5720. Let m = 4175 - z. Let d = 1982 - m. Is d prime?
False
Let i(d) = -15934*d - 21. Suppose 18 = -18*n - 18. Is i(n) a composite number?
False
Let o(t) = -15*t + 40 - 46 - t**3 + 3*t**3. Is o(11) a composite number?
True
Let g = 4026 - -361. Suppose -5*v + 8527 = 5*y + 3047, 3*v = -4*y + g. Is y a composite number?
True
Let t = -3699 - -3701. Let f = 2 + 2. Suppose -t*v - 1258 = -4*l, -f*l - l + 1575 = -2*v. Is l prime?
True
Suppose -36 = 4*o - 40. Let f(i) = 2568*i - 1. Is f(o) a prime number?
False
Is 6 - 40/(-3)*339408/120 a prime number?
False
Let o = -38 - -4. Let a be ((-4)/5)/(o/85). Is (2 - 1) + -2 + (482 - a) a prime number?
True
Let l = -42 - -17. Let u be (-60)/l*(-5)/(-2). Suppose -3036 = -u*o + 9882. Is o composite?
False
Let i = -126922 - -516117. Is i a prime number?
False
Let b(q) = 2200*q - 307. Is b(44) composite?
False
Suppose -1041784 = -2*z + 2*f, 33 = 5*f + 48. Is z a composite number?
False
Let b = -16670 - -15242. Let g be 1 + 1220 + -1 + -1. Let p = g - b. Is p prime?
True
Let l(s) = -s**3 + 93*s**2 + 396*s - 45. Is l(83) prime?
False
Suppose 8*v - 1054 = 20674. Let q = v + -869. Is q composite?
False
Let y(t) be the first derivative of -9*t**5/20 - 17*t**4/24 + 5*t**3 + 21. Let s(n) be the third derivative of y(n). Is s(-5) prime?
False
Let b be 6/10 - 944/40. Let a = -17 - b. Suppose -a*k + 4*k = -284. Is k a prime number?
False
Let y(w) = -w**2 + 40*w - 142. Let l(v) = v**2 + 8*v - 100. Let j be l(-16). Is y(j) a prime number?
False
Let y be (12 - -2)*38952/126. Is (y/(-12))/((-8)/12)*1 a prime number?
True
Let a(f) = -7*f - 45. Let j be ((-54)/3)/3 - (1 + -1). Let o be a(j). Is 295 + o/((-15)/(-10)) prime?
True
Suppose k - 2*g = -15, 2*k - 5*g - 15 + 50 = 0. Is (19186/(-4) + (-2 - k))*-2 a prime number?
True
Let z(i) = i**3 - 2*i**2 - i - 3. Let n be z(3). Let v = -222 - -225. Is 218 + 3 + (9/v - n) a prime number?
False
Let o(m) = -m**2 - 4*m - 4. Let c be (-64)/(-48) - (0 + (-26)/(-6)). Let r be o(c). Is (2 + 0)*r + 2335 a prime number?
True
Suppose 2*s + 5 = 3*p + 10, 0 = 3*s + p - 13. Suppose 5*m = -3*v + 1294, 0*m + m - 252 = -s*v. Let o = -23 + m. Is o a prime number?
False
Let a = -279 + 284. Let s be -6*(-3 - 14/(-6)). Suppose -29 + a = -s*x. Is x prime?
False
Is (-18)/24 - (1/(-8)*438454 + -5) a composite number?
True
Let v = -113388 + 197049. Suppose 17*y - v = 129128. Is y a prime number?
True
Let p be (-14)/70 - 1/(-5). Suppose p*m - 5*m = -52160. Suppose -6*o + 42322 = m. Is o composite?
True
Suppose u - 2*o = 7, 4*o + 1 + 4 = -u. Suppose -1923 = -x - 2*t, 3*x - 2*t = -u*t + 5744. Is x a composite number?
False
Let f(z) be the first derivative of 5*z**4/4 + z**3/3 + 2*z**2 + 16*z - 5. Let c be f(-11). Is c/(-14) - (2 - (-48)/(-21)) a composite number?
True
Let n be 3 + -4 + (-1)/(-1). Suppose q + p = 9, q + 4*p - 10 - 2 = n. Let m(h) = 8*h**2 - h - 19. Is m(q) composite?
True
Let p(h) = h**2 - h. Let x(d) = -12*d - 10. Let k(f) = p(f) - x(f). Let u be k(-13). Suppose -w + u - 1 = 0. Is w prime?
False
Let n be (504/189)/((-1)/3). Is ((-100)/n + -6)*226 composite?
True
Let x be (-132205)/20 + (-6)/8. Let f be (-1 + (-2)/(-4))*(22056 - 0). Let b = x - f. Is b prime?
False
Suppose -95 = 2*m + 483. Let w = -86 - m. Is w composite?
True
Suppose 381 = 12*i - 39. Let y be (-28)/i*15/3*2. Is ((-45)/(-12) - (-6)/y) + 292 a composite number?
True
Let i(o) = -o**3 + 10*o**2 - 19*o + 85. Let f be i(9). Is -3749*(f + (5 - -1))*-1 composite?
True
Let j be 1/2*5350/(7 - 2). Let h(c) = -245*c**3 - c. Let l be h(-1). Let b = j + l. Is b composite?
True
Suppose 13*o = -107887 + 285272. Is (o/(-2))/(18/(-4) - -4) prime?
False
Let q(h) = 83*h**2 - 10*h + 196. Is q(73) composite?
True
Suppose -5*h + 30 = -4*q - 30, 2*h + 28 = -q. Suppose 0 = -3*b + 4*p + 22, -2*b - p + 15 = -18. Is 4 + 1*b*(-5010)/q a composite number?
False
Is (-58485050)/(-75) + 27 - (-2)/(-3) prime?
True
Let q be (5/(-3))/(4/(-27204)). Let o = -5934 + q. Is o a prime number?
False
Suppose 0 = 438*u - 6680275 - 169710897 - 9208262. Is u prime?
False
Let l be (9939/2)/((-9)/(-12)). Let i(b) = -8*b**3 + 9*b**2 + 9*b + 13. Let d be i(-7). Let z = l - d. Is z prime?
True
Let c = -6651 - 10245. Let d = 30727 + c. Is d a composite number?
False
Let z = -673 - -37622. Is z a composite number?
True
Let x be -4*3*10/(-40). Suppose -5*r + 0*r - 4*t = -10733, 6444 = x*r + t. Is r a composite number?
True
Suppose -45*u - 18*u - 572926 = -82*u. Is u composite?
True
Let n = -5525 + 27172. Is n composite?
False
Is 9/24 - (107919370/80)/(-13) prime?
True
Is (-165306)/11*374/(-68) composite?
True
Let g(b) = -4407*b**3 - 4*b + 3. Let l be g(1). Let w = 8067 + l. Is w a composite number?
False
Let u(r) = r**3 + 456*r + 99361. Is u(0) prime?
False
Let s(j) = -697*j - 80. Is s(-91) a prime number?
True
Suppose x = -4*n + 4, -15*x + 12 = -n - 12*x. Suppose 2*u + 4*t - 18058 = n, 4*t - 19809 = -3*u + 7268. Is u a composite number?
True
Let d(x) be the second derivative of x**5/10 - 5*x**4/12 - x**3/2 + 14107*x**2/2 + 286*x. Is d(0) a composite number?
False
Let z be (-41257)/(-7) - 78/(-546). Let h = z + -3127. Is h a prime number?
True
Let z(h) = h**2 - 24*h - 25. Let a be z(25). Suppose 3*c - 2*m = 72, 0*c + 14 = c - 4*m. Suppose -27*t + c*t + 267 = a. Is t composite?
True
Let n be 4935/25 - (-10)/(-25). Let y = n - 138. Is y prime?
True
Let a be 0*(-5)/15*(-2)/6. Let z be (0 - 9402)/(-2 - a). Suppose 9*t - z = -318. Is t prime?
True
Suppose -3*l - 74 = 27*b - 23*b, -2*b = 2*l + 50. Is 5/((-15)/2)*35607/l a prime number?
False
Let n(d) be the first derivative of 42*d**3 + d**2/2 - 2. Suppose 5*a - 9 = a - m, -4*m + 21 = a. Is n(a) a prime number?
True
Let a = 25717 - 12336. Is a composite?
False
Is 1094256/40 + (-175)/125 prime?
False
Let x(q) = 3*q - q**2 - 1 + 886*q**3 + 342*q**3 + 298*q**3. Is x(1) prime?
False
Let b(h) = -h**3 + 7*h**2 - 8*h - 5. Let l be b(5). Suppose 0 = 6*q - l*q. Suppose -4*w + 5*x + 2524 = q, -w - x + 631 = -0*w. Is w prime?
True
Suppose 60*p - 701475 = 357345. Is p a composite number?
True
Let a = 2659 + -9121. Let o = -2649 - a. Is (-4)/7 + o/21 a prime number?
True
Let s(w) = w**3 - w**2 - 10*w + 12. Let k be s(5). Let f = 72 - k. Suppose -3587 = -f*g - 517. Is g a composite number?
False
Is -17 - (-108434 + -14)/16 a prime number?
True
Let r be ((-55)/10 + 4)*-2. Suppose 3*f + 1461 = 3*h, r*h + f - 1473 = -0*f. Let g = -243 + h. Is g a prime number?
False
Is 151854 + (7/14)/((-3)/78) a composite number?
False
Let b be (-16 - -26)*(0 + -202). Let n = b + 11313. Is n composite?
False
Suppose 14 = 3*w - 7. Let p = 11 - w. Suppose 1834 = 2*i - 3*h, 3*i = -0*i - p*h + 2785. Is i composite?
True
Let a(w) = 8*w + 24. Let n be a(-7). Let i be n/12*71532/(-16). Suppose 0*l - 6*l + i = 0. Is l composite?
False
Suppose -10*f - 60 = -5*f. Let r be ((-6)/f)/((-3)/180). Is -6 + (-102984)/r - (-2)/10 a composite number?
True
Let k(z) = 23*z**3 - 110*z**2 - 56*z + 96. Is k(31) composite?
True
Suppose -5*u + 15 = -5. Suppose -9*g - 43*g + 2028 = 0. Suppose u*s = 0, 26 = j - 2*s - g. Is j a composite number?
True
Let i = 33167 + 7046. Is i a prime number?
True
Suppose -66766 = 17*w - 24*w. Is (-1 - 0) + w - 4 a prime number?
True
Let c = 50569 - -6 | {
"pile_set_name": "DM Mathematics"
} |
a prime number?
False
Let k = 6 - 5. Let y(d) = -k + 6 - 2 + d + d**2. Is y(-4) prime?
False
Is (34 - -2) + 7 + -5 a composite number?
True
Let o(j) = -488*j + 1. Let c be 28/(-10) + (-2)/10. Let g be o(c). Let m = g - 998. Is m a prime number?
True
Let f(u) = -12*u + 2. Let n(s) = 3 - 7*s + s - 5*s. Let a(w) = 2*f(w) - 3*n(w). Is a(4) a composite number?
False
Let n(o) = 6*o**2 - 5*o - 14. Is n(-5) a composite number?
True
Let y(h) = 0*h + 2 + 1 + 4*h - 3*h. Let i be y(-3). Suppose i = 3*t - 8*t + 30. Is t composite?
True
Let r(a) = -526*a + 15. Is r(-7) prime?
True
Let i(w) = -3*w**3 - 12*w**2 + 4*w + 6. Is i(-11) composite?
False
Suppose 0 = 5*c + 2*t + 2, -t = 5*c - 1 + 2. Let i be (-2 - 2/2) + c. Let k(a) = -13*a + 4. Is k(i) composite?
False
Suppose 0 = -5*w + 4*w + 2*d + 177, -531 = -3*w - 2*d. Is w prime?
False
Let i be (0 - -2) + -2 + 2. Let a(o) = 2*o - 2. Let j be a(i). Suppose -105 = -j*v + 73. Is v a prime number?
True
Suppose 4*c - 3*b - 211 = -0*c, 0 = 4*c + 5*b - 171. Suppose 3*r - 8 = -2. Suppose -5*t = 4*y - 69, -r*t + 3*y = 2*t - c. Is t composite?
False
Suppose -354 = -3*t - 48. Let n = 193 - t. Is n composite?
True
Suppose 3*g + 3*u + 9 = 0, 4*g + 5*u + 15 = -0*u. Suppose l + l - 14 = g. Is l prime?
True
Let i = 584 - 297. Is i a composite number?
True
Suppose 159 = -g + 4*g. Is g a composite number?
False
Let b = 303 + -200. Let u = 168 - b. Is u composite?
True
Suppose -q - 2*a + 217 = 0, -4*a + 645 = -3*q + 6*q. Is q a prime number?
True
Suppose -3*x + 335 - 83 = 0. Suppose 3*s - x = -s. Is (-4)/14 + 783/s a prime number?
True
Suppose -31 = 4*q - 95. Is 1692/q - (-2)/8 a prime number?
False
Suppose 3*v = j - 121, -246 = -2*j - v + 5*v. Is j composite?
False
Let q(n) = -2*n**2 - n + 1. Let h be q(3). Is 8/h + 77/5 prime?
False
Suppose -9*b = -8163 + 1854. Is b prime?
True
Let v(g) = 2*g**3 - 5*g**2 - 4*g - 7. Suppose 19 + 1 = 4*l. Let u be v(l). Suppose h + 21 = u. Is h a composite number?
True
Let k be -4*1/4*10. Let x be (k + -2)*6/4. Is (477/x)/(1/(-2)) composite?
False
Let g = -6 - -10. Let k = 21 - g. Is 8*-2*k/(-8) a prime number?
False
Let z(d) = 18*d + 5. Is z(8) composite?
False
Let c be 5/5 + -1*1. Suppose c = k + k - 212. Is k prime?
False
Let h(f) be the second derivative of -f**4/12 + f**3/6 + 3*f**2 + f. Let w be (0/(2 - 3))/(-2). Is h(w) composite?
True
Is 6050/70 + 4/7 composite?
True
Suppose -2*l - 21 = -4*m - 9, 5*m - 9 = 4*l. Is ((-2)/(-4))/(m/510) a prime number?
False
Let b(x) be the third derivative of x**6/120 + x**5/15 - x**4/6 - x**3 - 3*x**2. Is b(-4) prime?
False
Is 858/2 + (-26)/(-13) a prime number?
True
Suppose p - 5 = 0, 4*p = -3*v + 65 + 897. Suppose 0*o + 5*q + v = 2*o, 3*o - 471 = -4*q. Is o prime?
True
Suppose -4*q + 220 + 402 = -3*t, -5*q - 4*t + 793 = 0. Suppose -z + q = 5*c - 452, 3*z - 12 = 0. Is c a composite number?
True
Let b(y) = y + 6. Suppose j = -0 - 4. Let i be b(j). Is (3/((-9)/(-222)))/i prime?
True
Suppose 4*q - 606 = -2*f, 2*f - 3*q - 601 = -2*q. Is f prime?
False
Let j be 28/6*(-24)/(-1). Suppose -3*f = 5*t - 124, -5*t + f = -0*t - j. Is t composite?
False
Let c(i) = i**3 + 10*i**2 - 12*i - 7. Let f be c(-11). Suppose l - 1543 = -2*l - 4*v, -f*v + 1022 = 2*l. Is l prime?
True
Suppose -743 - 58 = -3*x. Is x prime?
False
Let z = -1 - -1. Suppose -5*y + 5*q = 20, z*y + 4*y + 4 = q. Suppose -4*u + 0*u + 188 = y. Is u a prime number?
True
Let u be 0 + (-5)/((-5)/122). Let f = u - 78. Suppose -5*r = -7*r + f. Is r a composite number?
True
Let s(m) = 216*m**3 - 3*m + 5. Is s(2) a composite number?
True
Let v = -200 - -296. Suppose 4*i = 4*b - 2*b + v, -2*b - 119 = -5*i. Is i a composite number?
False
Suppose -5*h + 4*y = 165, 4 - 56 = h + 3*y. Let s = 56 - 119. Let n = h - s. Is n a prime number?
False
Suppose 4 = -4*a, -3*y = -2*y + 2*a - 5. Is y a composite number?
False
Let c(d) = -d**2 - 8*d + 12. Let a = -2 + 7. Suppose -a*v - 26 = 19. Is c(v) a prime number?
True
Let x = 11 + -6. Let d = x + -8. Is 120 + 3/d + 0 a prime number?
False
Let i = -460 + 674. Is i a composite number?
True
Let f = 1528 - 857. Is f composite?
True
Suppose -3*z + 2*z + 111 = 0. Is z composite?
True
Suppose 3065 = w + 4*w. Is w a composite number?
False
Suppose 0 = 4*n - 9*n + 1325. Is n a composite number?
True
Suppose -n - c + 4*c + 896 = 0, -5*c + 872 = n. Is n a prime number?
True
Let x(q) = -q**3 - 13*q**2 - 11*q + 8. Let n be x(-9). Is (3 + n - -3)/(-1) composite?
False
Is 3 + (-75)/27 + (-623288)/(-72) composite?
True
Let i(j) = -j**2 - 5*j + 5. Let c be i(5). Let h = c + 164. Is h composite?
True
Let w(f) = -f**3 + 4. Is w(-3) a composite number?
False
Let c(n) be the first derivative of n**2/2 - 13*n + 2. Let r be c(9). Let p(z) = -15*z + 5. Is p(r) prime?
False
Suppose -3*b + 1 = -3*n - 20, -5*b = 5*n - 55. Suppose b = 3*c - 3. Let z = 83 + c. Is z composite?
True
Suppose 1034 = -25*x + 27*x. Is x composite?
True
Let q(m) be the second derivative of -m**5/20 - 7*m**4/12 - 5*m**3/6 - 2*m**2 + 6*m. Is q(-7) a composite number?
False
Let q(m) = -4*m**3 + 2*m**2 + 2. Let v(h) = h**3 - h**2 - 1. Let u(d) = -2*q(d) - 7*v(d). Is u(5) composite?
True
Suppose 8*z = 9*z - 163. Is z composite?
False
Suppose -3*c - 10 = -2*u, 8*u - 3*u + 5*c = 0. Suppose -3*d + 1255 = u*d. Is d prime?
True
Let r(p) = 2*p**2 + 5*p + 3. Let q be (-4)/6 - 20/6. Is r(q) composite?
True
Suppose w - 583 = -5*r, -2*r + 4*w + 37 = -205. Let p = 2 - 0. Suppose -o - q + 56 = -3*q, p*o - r = -q. Is o a prime number?
False
Suppose -4*v = -559 + 239. Let u = 171 - v. Is u a prime number?
False
Let x = -7 - -11. Suppose x*b - b - 66 = 0. Is b a composite number?
True
Let n = -57 + 30. Is (306/n)/((-4)/42) a composite number?
True
Let a(u) = -5*u**2 + 17*u - 23. Let v(c) = -2*c**2 + 8*c - 11. Let s(r) = -6*a(r) + 13*v(r). Suppose 4*j - j = -18. Is s(j) a prime number?
True
Suppose 5*f + 2*l = -887, 2*f + 2*l = 60 - 410. Let j = f + 264. Is j composite?
True
Let z(a) = 6*a**2 + 7*a + 14. Is z(-7) a composite number?
True
Suppose 3*h - 2844 + 1131 = 0. Is h composite?
False
Suppose 0 = 5*u - 559 - 786. Is u a prime number?
True
Suppose -2*r = 3*r - 25. Suppose 4*t = -v + 5, 5*v = -r*t + 4 + 21. Suppose -2*c - 23 + 61 = t. Is c a prime number?
True
Let m = -3 + 1. Is m/3 - 101/(-3) composite?
True
Let g(h) = h + 5. Let w be g(-5). Suppose 4*p - p - 534 = w. Is p composite?
True
Suppose 5*s = -t + 5*t + 14, 4*s = -5*t + 3. Is s/(2/(-2)) + 21 composite?
False
Let g(u) = u**3 - 10*u**2 + 7*u - 7. Is g(11) prime?
True
Let f be 7*3*(-4)/(-42). Suppose -308 = -6*u + f*u. Is u composite?
True
Let s = 11 + -21. Let x be (12/s)/((-9)/30). Suppose -20 - 78 = -2*q + x*p, 0 = 4*q + 4*p - 220. Is q a prime number?
True
Suppose 4 = -2*q + 4*o, 0 = -5*q - 5*o - 48 - 7. Let z(u) = -10*u - 1. Is z(q) a prime number?
True
Let k = 3 + -3. Suppose k*g - 5*g = 20, 3*g + 1987 = 5*b. Suppose 0 = d + 5*w - 79, -4*d + 5*w = d - b. Is d composite?
False
Let u be (7 - -1)*(-7)/(-2). Let l(b) = 4*b**2 + 3*b + 3. Let y be l(-4). Let x = y + u. Is x a composite number?
False
Suppose 3*b = 7*b - 2*g - 2504, 0 = b - 5*g - 617. Suppose 4*o = o + b. Is o prime?
False
Let b be (-13)/(3 - 20/8). Is (-13)/b + (-650)/(-4) prime?
True
Let a(y) = y**2 + 11*y + 5. Is a(8) composite?
False
Suppose 3*c + 0*c = 249. Is c a composite number?
False
Let n(u) = 2*u + 1. Let a be n(2). Suppose -4*m - 1193 = -3*q, -a*q - m + 2045 - 72 = 0. Is q composite?
True
Suppose 9*w - 1195 = 8*w. Is w a prime number?
False
Let l be (-9)/(-3) - (7 - -1). Let n(t) = -34*t - 7. Is n(l) a prime number?
True
Let n(k) = k**2 - 8*k - 1. Let o be n(8). Is (-123)/(0 - (o - -2)) a composite number?
True
Let o be (0 + 4)/(-1 - 0). Let m(n) be the second derivative of n**4/12 + n**3/2 + 5*n**2/2 - 21*n + 2. Is m(o) a prime number?
False
Let i = -44 - -94. Let m = i - -33. Is m composite?
False
Suppose 2*p = -3*p + 1245. Suppose 10*n - p = 7*n. Is n a prime number?
True
Let u(l) = -147*l - 38. Is u(-9) prime?
False
Let l = 6 - 4. Suppose l*b + m = 4*m + 230, -4*m = -5*b + 561. Is b composite?
False
Let i(o) = -o**2 + 2*o**2 + 4*o**2 - 6. Is i(5) a prime number?
False
Let s = 3 + 1. Let p(g) = -1 + 7*g**2 - 3*g - 2*g + 0*g. Is p(s) a composite number?
True
Let y = 1 - -4. Suppose 0 = y*f + 54 - 224. Is | {
"pile_set_name": "DM Mathematics"
} |
what is 21 - 2000?
-1202
In base 6, what is 204 - -5?
213
In base 9, what is -37 - -1627?
1580
In base 15, what is 112d + 5?
1133
In base 2, what is -11110110 + 110?
-11110000
In base 14, what is -2 + -1a40?
-1a42
In base 15, what is -2c0 + 4?
-2bb
In base 9, what is 3 - 175?
-172
In base 11, what is -6 - -597?
591
In base 6, what is 2 + 45?
51
In base 10, what is -10 - -6?
-4
In base 4, what is -20133 - 21?
-20220
In base 13, what is -8a + -b?
-98
In base 6, what is -35 + -151?
-230
In base 14, what is -6 + 4?
-2
In base 2, what is 111011000 + 11?
111011011
In base 11, what is 0 - -2915?
2915
In base 4, what is 1131 + -11?
1120
In base 14, what is 0 + 58?
58
In base 13, what is 986 - 6?
980
In base 3, what is 1002 + -111?
121
In base 11, what is 27 + 972?
999
In base 8, what is 2 - 15?
-13
In base 9, what is -1480 + -11?
-1501
In base 15, what is 2 + -b50?
-b4d
In base 14, what is 29 - 6?
23
In base 15, what is 1b - -12?
2d
In base 15, what is -8 - 274?
-27c
In base 6, what is -10413 + 20?
-10353
In base 13, what is -1 + 127?
126
In base 16, what is 5 + 31?
36
In base 6, what is -125 + 145?
20
In base 3, what is -2 - 1010?
-1012
In base 15, what is 5 + 3c?
42
In base 12, what is -12 - -a?
-4
In base 8, what is -5 + -10473?
-10500
In base 2, what is 100010 + 110?
101000
In base 11, what is 39 + 4?
42
In base 10, what is -65 + -14?
-79
In base 6, what is -30513 + -1?
-30514
In base 13, what is 10 - -19?
29
In base 9, what is 4 - 658?
-654
In base 8, what is -130 - 5?
-135
In base 5, what is 1 + 1100?
1101
In base 3, what is 1020221 - -21?
1021012
In base 5, what is 100 + 2424?
3024
In base 12, what is -2 - 16b?
-171
In base 5, what is 1 + -110?
-104
In base 3, what is -2010 + 0?
-2010
In base 3, what is 1 + -21200?
-21122
In base 8, what is -3 + -1526?
-1531
In base 7, what is -1121 + 4?
-1114
In base 12, what is -5 - 2a?
-33
In base 9, what is 830 - -4?
834
In base 16, what is -5 + 75f?
75a
In base 9, what is -5 - -3175?
3170
In base 2, what is 0 - 101?
-101
In base 4, what is 3 + 3101?
3110
In base 8, what is -43 - 102?
-145
In base 4, what is 22231 - 100?
22131
In base 10, what is -48 + 180?
132
In base 5, what is 10 + -12414?
-12404
In base 12, what is 20 - 50?
-30
In base 4, what is 1 + -1333?
-1332
In base 2, what is 110 + 101101000?
101101110
In base 9, what is -1 - -255?
254
In base 8, what is -5456 - -5?
-5451
In base 9, what is 1 + -2330?
-2328
In base 4, what is 3110130 - 11?
3110113
In base 8, what is 0 - 32?
-32
In base 8, what is -1 + -54?
-55
In base 3, what is -102212 - 2?
-102221
In base 12, what is -25 + 4?
-21
In base 12, what is 52 - 41?
11
In base 12, what is 737 + -13?
724
In base 10, what is -3 - 128?
-131
In base 5, what is -2 + -3104?
-3111
In base 14, what is -36 - 0?
-36
In base 11, what is -2 - -87?
85
In base 15, what is -1 + -c?
-d
In base 5, what is -2 - -242?
240
In base 3, what is 1210112 + 0?
1210112
In base 2, what is 0 - 11100?
-11100
In base 13, what is 2b0 - 4?
2a9
In base 12, what is 123 - 5?
11a
In base 4, what is 210 - 3110?
-2300
In base 9, what is -162 - 251?
-423
In base 8, what is 2 + 635?
637
In base 10, what is -2 + 26?
24
In base 3, what is -11 + 10011?
10000
In base 13, what is -3 + -1a4?
-1a7
In base 6, what is 303221 + -4?
303213
In base 8, what is 46 + 6?
54
In base 2, what is -1 + -110000111000?
-110000111001
In base 11, what is 0 + 2143?
2143
In base 10, what is 3 + 270?
273
In base 5, what is 2 + 1130?
1132
In base 15, what is 6 - dc?
-d6
In base 13, what is 5 + -43?
-3b
In base 10, what is -1 + -806?
-807
In base 12, what is -2 + -62?
-64
In base 16, what is 2c + -13?
19
In base 2, what is 1110 + 11000110?
11010100
In base 13, what is 487 + -3?
484
In base 13, what is 2448 - 1?
2447
In base 13, what is 4 + -3c?
-38
In base 14, what is 2508 - 1?
2507
In base 14, what is -4 - -2d09?
2d05
In base 12, what is -1 + -1a3?
-1a4
In base 4, what is -203320 - -11?
-203303
In base 10, what is -67 + -5?
-72
In base 7, what is 64 - -23?
120
In base 7, what is -1 + -445?
-446
In base 3, what is 10 - -1212?
1222
In base 4, what is 0 - 1013?
-1013
In base 7, what is 24365 - 0?
24365
In base 4, what is 11 - -1102?
1113
In base 10, what is -6 - 8?
-14
In base 13, what is 436 - a?
429
In base 13, what is 195 - 4?
191
In base 6, what is -5234 - -2?
-5232
In base 16, what is -a + 284?
27a
In base 14, what is 11 - 441?
-430
In base 11, what is -5 - -7a7?
7a2
In base 6, what is 23 + 441?
504
In base 2, what is 100 - 1100100?
-1100000
In base 13, what is 18 + -9?
c
In base 13, what is -5 - 10?
-15
In base 15, what is 3e3 + -2?
3e1
In base 5, what is -3 + -121?
-124
In base 9, what is 4 - -637?
642
In base 8, what is -7654 - 1?
-7655
In base 15, what is 39 + 5?
3e
In base 5, what is -1 + 1241?
1240
In base 12, what is 8 - -a4?
b0
In base 13, what is -205 + 5?
-200
In base 9, what is -2 - -45?
43
In base 7, what is -1256 - 3?
-1262
In base 3, what is -2022 + -1222?
-11021
In base 14, what is a + -17?
-b
In base 8, what is -127 + -1?
-130
In base 11, what is -71a + -2?
-721
In base 12, what is -1 - 914?
-915
In base 3, what is -121220 - 10?
-122000
In base 9, what is -33 - 15?
-48
In base 15, what is -1 - -576?
575
In base 6, what is 3 + -1132?
-1125
In base 7, what is 1 - -20125?
20126
In base 5, what is -2001221 + -2?
-2001223
In base 7, what is 11630 - 3?
11624
In base 15, what is -5 + 78?
73
In base 11, what is 5 - -60?
65
In base 2, what is 101 - 100000?
-11011
In base 6, what is 541 + 1?
542
In base 10, what is -3846 - -3?
-3843
In base 13, what is 5 - -415?
41a
In base 15, what is -1 + -d77?
-d78
In base 16, what is 4 + -e?
-a
In base 13, what is 61 - -c?
70
In base 12, what is 5 + 1342?
1347
In base 7, what is 1 - -25446?
25450
In base 15, what is 0 + -200?
-200
In base 11, what is -1a4 + -5?
-1a9
In base 6, what is 3 - 202?
-155
In base 7, what is 30 - 0?
30
In base 2, what is 10010011000 + 11?
10010011011
In base 5, what is -1 - -120?
114
In base 12, what is 10 - 11?
-1
In base 12, what is 4 + -78?
-74
In base 2, what is 100 - 110110011111?
-110110011011
In base 7, what is 23 + -101?
-45
In base 2, what is 110011111 - 11010?
110000101
In base 2, what is 11 - 1001010?
-1000111
In base 9, what is 1 + -1184?
-1183
In base 3, what is 12 - 10022120?
-10022101
In base 2, what is -10111110 - 100?
-11000010
In base 5, what is 1311 - -1?
1312
In base 16, what is f98 - -1?
f99
In base 9, what is -5 + -353?
-358
In base 8, what is 24734 - 3?
24731
In base 9, what is -4 - -1601?
1586
In base 15, what is -22 + -3?
-25
In base 11, what is -2 + 3?
1
In base 7, what is 2 + 155?
160
In base 6, what is -22 - 22?
-44
In base 13, what is 1a - -4?
21
In base 7, what is 5 + 6?
14
In base 7, what is -116 - -405?
256
In base 11, what is -7 + 1?
-6
In base 9, what is -16 + 5?
-11
In base 16, what is 5 + -39?
-34
In base 14, what is -a1 - 5?
-a6
In base 4, what is 1100 - 12?
1022
In base 14, what is -5 - -59?
54
In base 16, what is -28 - 2?
-2a
In base 9, what is -3 + 17?
14
In base 4, what is 2 + 312112?
312120
In base 11, what is 14 - -17?
30
In base 14, what is -a + -d?
-19
In base 16, what is dd + 2?
df
In base 9, what is 3 + 7?
11
In base 16, what is -940 + 2?
-93e
In base 10, what is 0 - 101?
-101
In base 15, what is -3 - ac?
-b0
In base 5, what is 1112 - 132?
430
In base 4, what is -23 + 10123?
10100
In base 2, what is -11000110 - -1100?
-10111010
In base 15, what is -15 + 1e?
9
In base 14, what is a + -6?
4
In base 9, what is -35 + -12?
-47
In base 10, what is -78 + -6?
-84
In base 4, what is -11 + -12?
-23
In base 2, what is 110000100101111 - 11?
110000100101100
In base 10, what is -1402 + 0?
-1402
In base 5, what is 222130 - 1?
222124
In base 8, what is -11 + -112?
-123
In base 5, what is 24320 - -3?
24323
In base 12, what is -1 + -92b?
-930
In base 4, what is -232231 - -2?
-232223
In base 6, what is 25231 + -5?
25222
In base 5, what is 203 + 0?
203
In base 16, what is 2 + 2ca?
2cc
In base 13, what is -95 - 30?
-c5
In base 14, what is -9 - -189?
180
In base 13, what is -1 - -5a9?
5a8
In base 3, what is -22 + -21?
-120
In base 8, what is 1164 + 0?
1164
In base 6, what is 22 - 411?
-345
In base 4, what is -103 + 33?
-10
In base 16, what is 5 + 526?
52b
In base 2, what is 100101000111 - -1?
100101001000
In base 7, what | {
"pile_set_name": "DM Mathematics"
} |
+ 19*p + 1. Let y(x) = 21*x**3 + 7*x**2 + 38*x + 1. Let h(r) = 5*a(r) - 3*y(r). Find the second derivative of h(n) wrt n.
-78*n - 2
Let b(y) = 7*y**5 + 4*y**2 - 4. Let c(a) = -7*a**5 - 3*a**2 - a + 3. Let x(j) = -3*b(j) - 4*c(j). What is the second derivative of x(t) wrt t?
140*t**3
Suppose 14 = -5*f + 2*c + 41, 0 = -3*c - 3. Find the second derivative of 3*w**5 - 4*w + 0*w + f*w + 0*w wrt w.
60*w**3
Let z(t) be the second derivative of -t**3/3 + t**2 + t. Differentiate z(f) wrt f.
-2
Let t(c) be the second derivative of -c**7/2520 + c**6/240 + c**4/6 - c. Let j(o) be the third derivative of t(o). What is the second derivative of j(q) wrt q?
-2
Let q = -7 - -12. Suppose r = 5*a - 23, 3*r - 2*r + q*a - 27 = 0. Differentiate 1 + p + r*p - 2*p wrt p.
1
Suppose 2*u + 4*h = -h + 16, 2*u - h - 4 = 0. Let z = 3 + -2. What is the first derivative of -u - 1 + z - x**2 wrt x?
-2*x
Let x(p) be the third derivative of 0*p - 1/2*p**3 + 1/24*p**4 + 0 + 2*p**2. What is the first derivative of x(j) wrt j?
1
Let r(h) be the first derivative of h**6/120 - h**4/12 - h**3/3 - 4. Let s(z) be the third derivative of r(z). Differentiate s(f) with respect to f.
6*f
Let q(r) be the second derivative of -r**5/5 - 5*r**2/2 - 7*r. What is the first derivative of q(u) wrt u?
-12*u**2
Let v(a) be the first derivative of -a**7/210 - a**3/3 - 2*a**2 - 1. Let f(w) be the second derivative of v(w). What is the first derivative of f(q) wrt q?
-4*q**3
Let a(t) = -t**3 + 5*t**2 + 7*t - 3. Let m be a(6). Suppose 5*v - 14 = -h, 2 = 2*h - 2*v - 2. Find the second derivative of c**3 - 4*c**3 + h*c**m + c wrt c.
6*c
Let l(a) = -15*a**5 - 10*a**2 - 3*a. Let y(v) = 15*v**5 + 11*v**2 + 2*v. Let k(n) = -2*l(n) - 3*y(n). What is the third derivative of k(o) wrt o?
-900*o**2
Suppose 4*v = -5*y - 6, 3*y = -0*y + 5*v + 26. Suppose 0 = a + 4*b - 10, -y*b = b - 6. Differentiate -2 + 4 + l**2 - 2*l**a wrt l.
-2*l
Suppose 0*h - 68 = -b - 3*h, -b - 2*h + 69 = 0. Differentiate 3*n**4 - 1 - b*n + 71*n with respect to n.
12*n**3
Suppose -3*o = 4*t - 7, 3 + 1 = 4*t. Let u(s) be the first derivative of s - o - 1/2*s**2. What is the first derivative of u(f) wrt f?
-1
Let s(r) be the third derivative of 0*r**4 + 0 - 7*r**2 + 7/6*r**3 + 0*r**5 + 0*r - 1/24*r**6. Differentiate s(g) wrt g.
-15*g**2
Let u(l) = l**3 - 4*l**2 + 2*l - 6. Let h be u(4). Suppose h*k - k - 3 = 0. What is the first derivative of 4*q**2 - 11 - k*q**2 + 13 wrt q?
2*q
Let d(y) = 11*y**3 + 4*y**2 + 4*y + 13. Let c(w) = -22*w**3 - 9*w**2 - 9*w - 27. Let u(i) = -4*c(i) - 9*d(i). What is the first derivative of u(q) wrt q?
-33*q**2
Let w(v) be the first derivative of -v**9/72 - v**5/20 - v**2 + 7. Let i(n) be the second derivative of w(n). What is the third derivative of i(r) wrt r?
-840*r**3
Find the second derivative of 13*y - 9*y - 12*y - 5*y**3 wrt y.
-30*y
Let q(u) be the second derivative of 5*u**3/6 + u**2/2 + u. Let l = 12 - 8. Let x(i) = i. Let y(t) = l*x(t) - q(t). Differentiate y(o) with respect to o.
-1
Let n(z) be the first derivative of -5*z**4/2 + 8*z**3/3 - 12. Find the third derivative of n(a) wrt a.
-60
Let o(h) = h**3 + 4*h**2 - 9*h - 2. Let x(g) = -g. Let a(q) = o(q) - 3*x(q). Let b be a(-5). What is the second derivative of -i**5 - i**b + i + i**3 wrt i?
-20*i**3
Let f(t) = -t**3 - 13*t - 4. Let u(z) = -6*z - 2. Let x(j) = -6*f(j) + 13*u(j). Find the first derivative of x(m) wrt m.
18*m**2
Find the first derivative of 4*k**4 + 4*k**4 - 1072 + 1114 wrt k.
32*k**3
Let b = -43 + 45. Let n(q) be the first derivative of 0*q**b + 2 - 1/3*q**3 + 0*q**4 + 0*q - 2/5*q**5. Find the third derivative of n(p) wrt p.
-48*p
Let s(j) be the second derivative of j**8/840 - j**6/72 + j**3 - 5*j. Let t(q) be the second derivative of s(q). What is the third derivative of t(v) wrt v?
48*v
What is the second derivative of -13*f**4 + 8*f + 8*f - 12*f wrt f?
-156*f**2
Let a(f) be the first derivative of 9*f**7/7 - 11*f**3/3 + 12. Find the third derivative of a(z) wrt z.
1080*z**3
What is the third derivative of 8*q**3 + 2 - 5 + 3 + 3*q**2 wrt q?
48
Let p(c) = -c**3 - 5*c**2 + 7*c + 8. Let z be p(-6). Let s be ((-3)/(-3) - 0)*z. Find the second derivative of -h + 3*h + 2*h**s - h wrt h.
4
Let l(p) = p**2 + 2*p + 1. Let u be l(-2). Find the third derivative of 8*k**2 + 1 - 3*k**5 - 6*k**2 - u wrt k.
-180*k**2
Find the second derivative of -30*c**4 + 49*c**4 - 18*c - 19*c + 12*c wrt c.
228*c**2
Let f(m) be the first derivative of 0*m**4 + 0*m**2 + 1/7*m**7 + 0*m - m**3 + 0*m**5 + 0*m**6 - 3. Find the third derivative of f(o) wrt o.
120*o**3
Let s(g) = -11*g**2 - 9*g + 3. Let i(l) = l**2 + l - 1. Let o(m) = -3*i(m) - s(m). What is the second derivative of o(j) wrt j?
16
Let y(x) be the third derivative of -1/20*x**5 - 2*x**2 + 0 + 1/60*x**6 + 0*x**3 + 0*x + 0*x**4. What is the third derivative of y(z) wrt z?
12
Find the second derivative of -5*b**2 - 5*b - 4*b + 5*b**2 - 6*b**3 wrt b.
-36*b
Let r be (-3)/6*-12 - 1. What is the derivative of 4 - j**2 + r*j**2 - 6 wrt j?
8*j
Let a(c) be the third derivative of 43*c**4/24 - 32*c**3/3 - c**2 - 10*c. What is the derivative of a(t) wrt t?
43
Suppose 4*l - z - 22 = 0, 2*z - 2 = -l + 4*z. Find the second derivative of 4*p + l*p**2 - 4*p + 2*p wrt p.
12
Let k(r) = 3*r**2 - r - 1. Let s be k(-1). Let z(c) be the first derivative of 0*c + 1 + 2/3*c**s + 1/2*c**2. What is the second derivative of z(m) wrt m?
4
Let r = 9 - 3. Find the third derivative of -6*b**r + 2*b**2 + 11 + 0*b**2 - 11 wrt b.
-720*b**3
Let t(z) be the first derivative of -3 + 0*z**3 + 0*z + 3/2*z**2 - 1/4*z**4. What is the second derivative of t(l) wrt l?
-6*l
Let p = -24 + 24. Let k(x) be the second derivative of -1/3*x**3 + 0*x**2 + 1/6*x**4 + p + 2*x. What is the second derivative of k(m) wrt m?
4
Let r(m) = -4 - 1 + 3 + 1. Let q(a) = a + 1. Let b = 6 + -10. Let f(t) = b*q(t) + r(t). Differentiate f(c) with respect to c.
-4
Suppose 0 = 4*g + w - 17, 5*w = -4 - 11. Find the third derivative of -104*f**5 + 100*f**g + 0*f + 0*f + 5*f**2 wrt f.
-240*f**2
Suppose 3*i + 0*i - 9 = 0. What is the third derivative of -2*x**4 + x**2 - 3*x**6 - i*x**4 + 5*x**4 wrt x?
-360*x**3
Suppose -3*j - 4 = -10. Find the third derivative of -5*f**2 - 3*f**4 + 9*f**4 + 4*f**2 - j*f**4 wrt f.
96*f
Let k(s) be the third derivative of 11*s**7/210 - 3*s**5/10 - 21*s**2. What is the third derivative of k(m) wrt m?
264*m
Let o(h) be the third derivative of 0 + 0*h**4 + 0*h**3 - 1/210*h**7 + 4*h**2 + 0*h + 1/60*h**5 + 0*h**6. What is the third derivative of o(a) wrt a?
-24*a
Suppose 5*k - k - 12 = 0. Find the third derivative of 4*d**2 - k*d**5 - d**5 + 6*d**5 - d**2 wrt d.
120*d**2
Let v(t) be the second derivative of 3*t**8/56 + 3*t**5/20 - t**4/3 + 7*t**2/2 + 2*t + 8. Find the third derivative of v(q) wrt q.
360*q**3 + 18
Let m be (-4)/(-6) + (-32)/(-6). What is the third derivative of 2*j**m + 88 - 88 - 5*j**2 wrt j?
240*j**3
Let b(v) = -16*v**5 - 5*v**2 + 2*v + 5. Let l(d) = d**5 + d**2 - d - 1. Let u(t) = -b(t) - 5*l(t). Find the second derivative of u(y) wrt y.
220*y**3
Let x(l) be the second derivative of -l**4/6 + 2*l**3/3 - l**2/2 - l. Let y(f) be the first derivative of x(f). Find the first derivative of y(j) wrt j.
-4
Let z(w) = 16*w**3 - 6*w**2 + 6*w - 11. Let u(o) = 16*o**3 - 7*o**2 + 7*o - 11. Let a(f) = 6*u(f) - 7*z(f). Differentiate a(x) wrt x.
-48*x**2
Let p(h) = -11*h**3 - 7*h**2 - 20*h - 7. Let s(c) = -11*c**3 - 6*c**2 - 19*c - 6. Let v(z) = 6*p(z) - 7*s(z). Find the second derivative of v(u) wrt u.
66*u
Let k(q) be the third derivative of -q**5/6 + 19*q**3/6 - 23*q**2. What is the derivative of k(s) wrt s?
-20*s
Suppose 2*l + j = l + 1, 4*l + 5*j - 2 = 0. What is the second derivative of 2*w - w**4 + w**4 + l*w**5 + 2*w**5 wrt w?
100*w**3
Let o(u) = -13*u**2 - 11*u. Let w(l) = -13*l**2 - 10*l. Let p(f) = -3*o(f) + 2*w(f). Find the second derivative of p(h) wrt h.
26
Let z be (-8)/12*(-12)/8. What is the derivative of 4*f**2 + f + z + 10 - f wrt f?
8*f
Let v(w) be the second derivative of w**7/210 - w**6/60 + w**3/2 + w. Let q(r) be the second derivative of v(r). Find the third derivative of q(m) wrt m.
24
Suppose -12 = -2*q - 2*i, -5*i - 5 + 29 = 2*q. Let g = -13 + 15. What is the second derivative of g*b**2 - q*b + b + 3*b wrt b?
4
Let l | {
"pile_set_name": "DM Mathematics"
} |
1875. Let r(v) = -3345*v**2 + 7*v + 1875. Let g(d) = 7*q(d) + 6*r(d). Find the first derivative of g(u) wrt u.
6326*u
What is the third derivative of -172*o**2 + 2516*o**2 + 76*o**5 + 7*o**4 - 670*o**2 - 549*o**2 + 2342*o**2 + 2*o**3 wrt o?
4560*o**2 + 168*o + 12
Let v(t) = 103976*t + 139352. Let w(r) = 3851*r + 5161. Let y(h) = 3*v(h) - 80*w(h). What is the first derivative of y(o) wrt o?
3848
Let t(g) be the second derivative of -5243*g**5/10 + 55*g**4/12 + 16*g**3/3 + 12619*g. Find the third derivative of t(l) wrt l.
-62916
Let a(j) be the third derivative of -1483*j**6/120 + 289*j**5/30 + 2*j**2 + 408*j. What is the third derivative of a(p) wrt p?
-8898
Suppose -p + 4*u = -15, 3 = -3*u - 6. What is the third derivative of -9243*a + 9223*a + 2*a**3 - 15*a**4 + 3*a**2 - 3*a**p wrt a?
-360*a - 6
Let i = 288 - 278. Suppose 2*p - 10 = m - 2, -3*p = 4*m - 12. Find the second derivative of 0*s + i*s + 0*s**4 + 15*s**p wrt s.
180*s**2
Let z(a) be the second derivative of 307*a**8/28 + 19*a**4/6 - 7*a**3/3 + 991*a. Find the third derivative of z(k) wrt k.
73680*k**3
Suppose 4*f + 957 = 993. Find the second derivative of -16*p**2 - 194*p**4 + 25*p**2 + 2 - 9*p - f*p**2 wrt p.
-2328*p**2
Let o be -6 + 14 + 3 + 0. Find the second derivative of 2722 + o*w**2 - w + 0*w - 2708 - 2*w**3 wrt w.
-12*w + 22
Let b = 144 + -142. Suppose -b*z + 8*z - 66 = 0. Find the third derivative of -z*l**2 - 14*l**6 - 4*l**2 + 17*l**2 wrt l.
-1680*l**3
Let x = -6 + 9. Let h(u) be the first derivative of 4*u**5 + 18 - 6*u**2 - x*u**5 - 28. Find the second derivative of h(g) wrt g.
60*g**2
Find the third derivative of -40*l + 7*l**6 - 9*l - 71 + 140 + 39*l**5 - 7*l**2 - 69 wrt l.
840*l**3 + 2340*l**2
Let v be 1*(15 - 10) - (-1 - -2). Suppose -s + 93 = -10. What is the derivative of t**v + 87 - 3*t**4 - s wrt t?
-8*t**3
Let n(a) = -1270*a + 1036. Let m(l) = -156214*l + 127428. Let h(z) = 6*m(z) - 740*n(z). What is the first derivative of h(d) wrt d?
2516
What is the second derivative of 18*z**2 - 2679*z - 46*z**2 + 31*z**2 + 4*z**4 wrt z?
48*z**2 + 6
Let a be (-4)/(-2) - (-7 - -3). Let s(k) = -3*k - 4*k + a*k. Let j(i) = -22*i**3 + 18*i. Let b(t) = -j(t) + 3*s(t). What is the second derivative of b(p) wrt p?
132*p
Suppose -13*b + 17 = -9. Find the second derivative of 9 + p + 39 + 16*p**2 + 41*p**b - 25 wrt p.
114
Let i(o) = -o**3 + 22*o**2 - 8*o - 37. Let m be i(17). What is the second derivative of x**3 - 1332*x - x**3 + m*x + 76*x**5 wrt x?
1520*x**3
Let k(s) be the first derivative of 557*s**4/4 + 2437*s**3/3 - 2*s - 57. Find the third derivative of k(g) wrt g.
3342
Suppose 0 = -5*c + 6 - 26. Let j(r) = r**2 + 1. Let b be j(c). Find the second derivative of -2*k**4 - 4*k**4 - 5*k**4 + b*k - 22*k wrt k.
-132*k**2
Find the third derivative of 1005*d**2 + 362 + 371 + 362 + 358 - 1452 - 1108*d**5 wrt d.
-66480*d**2
Let v(f) = 5*f**3 + 2*f**2 + 4*f - 39. Let g(z) = -7*z**3 - 3*z**2 - 4*z + 39. Suppose 21 - 51 = 15*m. Let w(i) = m*g(i) - 3*v(i). Differentiate w(d) wrt d.
-3*d**2 - 4
Let h be 2405/13 + (2 - 7). Differentiate -r + r - 2*r + r - h + 63*r**3 + 2*r with respect to r.
189*r**2 + 1
Suppose -v = -a - 4, -2*v + 2*a = -a - 11. Let n(s) = s**2 + 2*s - 1. Let w be n(v). Find the third derivative of -9*b**2 - w*b**5 + 2*b**5 - 14*b**5 wrt b.
-840*b**2
Differentiate 26 - 40108*s**3 + 694 - 2*s**4 + 40076*s**3 wrt s.
-8*s**3 - 96*s**2
Let s(x) = -1770*x + 6915. Let f(u) = -1769*u + 6890. Let l(v) = -4*f(v) + 5*s(v). What is the derivative of l(q) wrt q?
-1774
Let p(r) = 31*r**2 + r - 22. Let i be p(-6). Find the third derivative of -i - 71*w**2 + 62*w**3 + 1088 wrt w.
372
Let d(s) = -11366*s**2 - 1823*s + 14. Let n(q) = -q**2 - 3*q + 3. Let x(v) = d(v) - 6*n(v). What is the second derivative of x(b) wrt b?
-22720
Let w(v) be the second derivative of 1007*v**7/21 + 451*v**3 - 1606*v. What is the second derivative of w(d) wrt d?
40280*d**3
What is the third derivative of 2*i**4 - 58294*i**3 + 25*i + i**2 + 58328*i**3 - i wrt i?
48*i + 204
Differentiate 5961 - 9386*k**4 + 736*k**4 + 265*k**4 - 701*k**4 wrt k.
-36344*k**3
Let s = 144 + -142. Find the third derivative of -93*o**s - 117*o**4 - 32*o + 155*o**4 + 3*o**3 + 32*o wrt o.
912*o + 18
Let u = 54 - 98. Let w = -45 - u. Let l(d) = 27*d**3 + 6*d + 5. Let y(m) = m**3 + m - 1. Let g(z) = w*l(z) + 6*y(z). What is the first derivative of g(f) wrt f?
-63*f**2
Let s(j) be the second derivative of 0*j**4 + 115*j + 8*j**3 + 1/2*j**2 + 0*j**6 + 0 + 0*j**5 + 17/42*j**7. Find the second derivative of s(h) wrt h.
340*h**3
What is the third derivative of -1450*z**3 - 2233*z**2 - 183 + 56 + 65 + 62 wrt z?
-8700
Let d = -404 + 408. Find the third derivative of -3*h**6 + 7*h**6 - 720*h**2 + 13*h**d + 896*h**2 wrt h.
480*h**3 + 312*h
Suppose 0 = -4*w + g + 12, -3*g - g = -16. Differentiate -1718*i**w + 853*i**4 - 105 + 742*i**4 with respect to i.
-492*i**3
Let t(j) be the first derivative of -4/3*j**3 + 57 + 3/5*j**5 + 0*j**2 + 6*j + 5/4*j**4. Find the third derivative of t(u) wrt u.
72*u + 30
Let g(x) = -x**2 + 2. Let s(m) = 100*m**2 - 2*m - 141. Let h(f) = 6*g(f) + s(f). Differentiate h(y) wrt y.
188*y - 2
Let q(u) = 4306*u - 3250. Let d(y) = -2151*y + 1626. Let g(b) = -7*d(b) - 3*q(b). What is the derivative of g(o) wrt o?
2139
Let q(k) be the second derivative of -111/2*k**2 + 24 + k - 10/3*k**3. Differentiate q(t) with respect to t.
-20
Let a = 32 - 32. Suppose -2*c + 4*x + 8 = a, 0 = -4*c + 3*x - 5*x + 6. Differentiate -30*n + 30*n + 18 + 18*n**c wrt n.
36*n
Let q(w) be the third derivative of -w**8/840 - 7*w**4/2 - 16*w**3 - 103*w**2. Let n(g) be the first derivative of q(g). Differentiate n(j) wrt j.
-8*j**3
Let g(m) be the third derivative of m**7/210 + 77*m**6/120 + 169*m**5/60 - 2*m**2 - 31*m. What is the third derivative of g(i) wrt i?
24*i + 462
Let c(q) be the second derivative of -3*q - 5/3*q**3 + 33*q**2 - 11. What is the derivative of c(r) wrt r?
-10
Let p(c) be the first derivative of -18 + 0*c**3 + 5/2*c**2 + 58*c + 1/2*c**4. Differentiate p(w) with respect to w.
6*w**2 + 5
Let f be (2 - 16/5)/((-2)/5). Find the first derivative of 57*d**2 - 14 + f + 0 + 5 wrt d.
114*d
Suppose 0 = -9*g + 211 - 193. What is the third derivative of -2*y**6 - 234*y**4 - 74*y**5 + 234*y**4 + 139*y**g wrt y?
-240*y**3 - 4440*y**2
What is the first derivative of -2077 + 349 - 1843 - 382*h - 673*h - 210*h wrt h?
-1265
Let s(c) be the first derivative of 7*c**5/5 + 17*c**4/2 - 7499*c**3/3 + 3924. Find the third derivative of s(q) wrt q.
168*q + 204
Let o(s) be the first derivative of s**4/4 - 8. Let w(n) = 34*n**3 + n**2 + 9*n. Let d(b) = 3*o(b) - w(b). Find the third derivative of d(q) wrt q.
-186
Let w(g) be the first derivative of 843*g**6/2 - g**4/2 - 4222*g**3/3 + 86. What is the third derivative of w(z) wrt z?
151740*z**2 - 12
Let s(o) = 2264*o**2 - 11*o + 22. Let f(w) = 4532*w**2 - 16*w + 43. Let g(m) = -3*f(m) + 5*s(m). Find the second derivative of g(h) wrt h.
-4552
Find the third derivative of 29150*c**3 - 55490*c**3 + 1702*c**2 + 28175*c**3 wrt c.
11010
Let r(i) = -3*i - i + i**2 - 16 + 5*i. Let o be r(-5). What is the first derivative of -6*b**4 - 3*b**4 + b**o - 11 - 5 wrt b?
-32*b**3
Let n(b) be the third derivative of 0 + 0*b**4 + 0*b**5 + 11/10*b**6 + 0*b - 199*b**2 - 253/6*b**3. What is the derivative of n(r) wrt r?
396*r**2
Let h(y) be the third derivative of -53*y**6/3 - 265*y**3/2 - 3045*y**2. What is the derivative of h(k) wrt k?
-6360*k**2
Let a(z) be the third derivative of -5*z**6/12 + 2*z**5/5 + z**4/8 - 745*z**3 + z**2 - 658*z - 6. Differentiate a(h) wrt h.
-150*h**2 + 48*h + 3
Let l(y) = y**3 + 3*y**2 - 6*y + 8. Let r be l(2). What is the first derivative of -r*o**2 - 13 - 311*o**3 - 7*o**2 + 314*o**3 - 6 wrt o?
9*o**2 - 46*o
Let g(k) = 283*k + 390. Let z(a) = 280*a + 387. Let m(b) = 5*g(b) - 4*z(b). Find the first derivative of m(x) wrt x.
295
Let s(g) = -474*g**2 + 4*g + 1804. Let n(o) = -2*o**2 + o - 3. Let h(y) = 3*n(y) - s(y). Find the first derivative of h(u) wrt u.
936*u - 1
What is the derivative of 2235*x - 8 - 560 - 891 + 43*x - 487 wrt x?
2278
Find the second derivative of -523 + 516 + 32*j**2 + 39*j**4 - 65*j**2 + 22*j wrt j.
468*j**2 - 66
Let t be 4 - (0 + -3 + 37). Let p = t - -32. Find the third deriva | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from zzz. What is prob of sequence zzz?
1
Calculate prob of sequence xxsx when four letters picked without replacement from {w: 10, x: 9, s: 1}.
7/1615
Two letters picked without replacement from wwwgwwwgw. What is prob of sequence ww?
7/12
Two letters picked without replacement from zzqzzqqzzqzqqq. What is prob of sequence qz?
7/26
Two letters picked without replacement from {g: 2, d: 1, c: 1, y: 1}. Give prob of sequence gc.
1/10
Three letters picked without replacement from tlllllllllll. Give prob of sequence lll.
3/4
What is prob of sequence hq when two letters picked without replacement from haaahhhqhdhtqqththt?
4/57
Four letters picked without replacement from cizcjjbjj. Give prob of sequence zjji.
1/252
Calculate prob of sequence lln when three letters picked without replacement from lwlnn.
1/15
Four letters picked without replacement from fffffaaffffaffaa. Give prob of sequence aaaa.
1/364
Two letters picked without replacement from {n: 8, g: 5}. Give prob of sequence ng.
10/39
Two letters picked without replacement from {r: 3, w: 4, n: 6}. What is prob of sequence rr?
1/26
What is prob of sequence ll when two letters picked without replacement from {j: 4, l: 3}?
1/7
Calculate prob of sequence ed when two letters picked without replacement from edwiwkd.
1/21
What is prob of sequence zk when two letters picked without replacement from azakaakkkakaaka?
1/35
Two letters picked without replacement from {j: 5, u: 13}. What is prob of sequence ju?
65/306
Three letters picked without replacement from nunnu. What is prob of sequence uun?
1/10
Calculate prob of sequence pz when two letters picked without replacement from ywwwyzwwwpwwww.
1/182
Two letters picked without replacement from llllllccgggl. What is prob of sequence cg?
1/22
Calculate prob of sequence ze when two letters picked without replacement from {z: 6, e: 1, l: 5, w: 1, r: 1}.
3/91
Three letters picked without replacement from cwcwcvcw. What is prob of sequence ccv?
1/28
Calculate prob of sequence ijtu when four letters picked without replacement from {i: 1, d: 1, j: 4, t: 3, u: 5}.
5/2002
Four letters picked without replacement from {z: 9, d: 3}. What is prob of sequence zdzd?
2/55
Two letters picked without replacement from lllllglllovvlvlllgl. What is prob of sequence vg?
1/57
What is prob of sequence nq when two letters picked without replacement from xbnanaqpbpapabx?
1/105
Calculate prob of sequence xnn when three letters picked without replacement from {x: 4, n: 15}.
140/969
Two letters picked without replacement from ttttrtttuuutru. What is prob of sequence tr?
8/91
Calculate prob of sequence aeaw when four letters picked without replacement from esayyewaaywfsy.
1/1001
Calculate prob of sequence mzvv when four letters picked without replacement from {v: 3, m: 3, z: 2}.
3/140
Two letters picked without replacement from ghghhffhhghh. Give prob of sequence hh.
7/22
Calculate prob of sequence ey when two letters picked without replacement from {e: 2, h: 1, o: 3, y: 3, u: 2, z: 1}.
1/22
Three letters picked without replacement from {w: 1, o: 1, f: 1}. Give prob of sequence fow.
1/6
Calculate prob of sequence drj when three letters picked without replacement from pdydrdj.
1/70
What is prob of sequence jow when three letters picked without replacement from ootjjoajtwjjtwojjo?
35/2448
Calculate prob of sequence wv when two letters picked without replacement from {z: 1, w: 2, k: 1, v: 6, o: 3, a: 2}.
2/35
Three letters picked without replacement from {p: 1, a: 2, r: 1, z: 1, h: 2, b: 2}. Give prob of sequence aza.
1/252
Calculate prob of sequence qq when two letters picked without replacement from gqkhgggghkhggggq.
1/120
Three letters picked without replacement from {z: 2, e: 1}. What is prob of sequence zez?
1/3
What is prob of sequence bub when three letters picked without replacement from {p: 2, u: 1, b: 11}?
55/1092
What is prob of sequence tt when two letters picked without replacement from {j: 2, t: 10, q: 3}?
3/7
What is prob of sequence oa when two letters picked without replacement from orooccaccacoocrccocc?
3/95
What is prob of sequence lq when two letters picked without replacement from ldppqqplqmlppl?
6/91
Two letters picked without replacement from {z: 5, k: 5, e: 1}. Give prob of sequence ke.
1/22
Four letters picked without replacement from jjjjjjjjjjejeej. What is prob of sequence jejj?
11/91
Two letters picked without replacement from gxlg. What is prob of sequence gl?
1/6
Calculate prob of sequence lgll when four letters picked without replacement from ggggglggglggglggglg.
5/1292
Calculate prob of sequence bqq when three letters picked without replacement from bqqqqqqqbqbqqqqq.
39/280
Four letters picked without replacement from ddvvvdddvdddddddddd. What is prob of sequence vvvv?
1/3876
Calculate prob of sequence bss when three letters picked without replacement from {g: 3, o: 1, c: 3, b: 2, s: 1}.
0
What is prob of sequence gemm when four letters picked without replacement from {g: 6, e: 4, m: 3, k: 1}?
6/1001
Four letters picked without replacement from xotoottgtggogdxttt. Give prob of sequence gxdt.
7/9180
Calculate prob of sequence qdq when three letters picked without replacement from iiqiiiqdiidi.
1/330
Calculate prob of sequence of when two letters picked without replacement from oooofofooffofo.
45/182
What is prob of sequence wa when two letters picked without replacement from wqbafwi?
1/21
Calculate prob of sequence gg when two letters picked without replacement from {g: 4}.
1
Four letters picked without replacement from {f: 15, g: 3}. What is prob of sequence gggf?
1/816
Calculate prob of sequence mb when two letters picked without replacement from mmmmmmcbccmmccc.
4/105
Two letters picked without replacement from qqoggyrqzgoz. What is prob of sequence zg?
1/22
Calculate prob of sequence yys when three letters picked without replacement from yssysyssysyy.
3/22
Two letters picked without replacement from uupuuuuuuuuuuuuupupp. What is prob of sequence pp?
3/95
What is prob of sequence yylr when four letters picked without replacement from rrylylyy?
1/35
Four letters picked without replacement from {c: 3, d: 15}. Give prob of sequence dcdd.
91/816
Three letters picked without replacement from lrlnxlr. Give prob of sequence rxl.
1/35
What is prob of sequence bw when two letters picked without replacement from zrkmwbb?
1/21
Two letters picked without replacement from wwowowwwwoqwowwoo. What is prob of sequence wo?
15/68
Calculate prob of sequence wz when two letters picked without replacement from {z: 3, p: 1, v: 3, u: 3, w: 1}.
3/110
Calculate prob of sequence hvw when three letters picked without replacement from vhqhfvhhhwvhwhnfhnvn.
8/855
What is prob of sequence bq when two letters picked without replacement from {e: 1, b: 2, y: 6, q: 5, o: 3}?
5/136
Four letters picked without replacement from mvttmmtvhthtghtmhgmt. What is prob of sequence hvgt?
14/14535
Three letters picked without replacement from {o: 2, w: 1, n: 1, a: 2, j: 2}. What is prob of sequence awn?
1/168
Calculate prob of sequence luul when four letters picked without replacement from uluulllluuulu.
21/286
Calculate prob of sequence mutl when four letters picked without replacement from umtlmytlml.
1/280
Four letters picked without replacement from vvvkvvvvvvvv. What is prob of sequence kvvv?
1/12
Three letters picked without replacement from {k: 1, q: 3, u: 2, b: 1, y: 2, f: 3}. What is prob of sequence yuq?
1/110
Three letters picked without replacement from {g: 2, m: 2}. What is prob of sequence mgm?
1/6
Three letters picked without replacement from lklahhahlhlhah. What is prob of sequence hkl?
1/91
Four letters picked without replacement from {f: 2, s: 4, y: 4, x: 4, i: 6}. What is prob of sequence syyi?
4/1615
Three letters picked without replacement from kddkkkdddkdk. Give prob of sequence kdk.
3/22
Calculate prob of sequence mru when three letters picked without replacement from {m: 1, l: 1, r: 1, u: 2, k: 2, b: 1}.
1/168
Calculate prob of sequence tm when two letters picked without replacement from {f: 7, t: 3, m: 8}.
4/51
Calculate prob of sequence ld when two letters picked without replacement from ssdslskssffffss.
1/210
Four letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
-1/26, -1/9?
-1/79
Which is the fifth smallest value? (a) 3/4 (b) -285.2 (c) -2 (d) -1 (e) -0.3 (f) -26
e
Which is the third biggest value? (a) 0.2 (b) -2 (c) -13 (d) 11 (e) -140 (f) 1.9
a
Which is the fifth biggest value? (a) 0.3 (b) 0.157 (c) 174 (d) 4 (e) -1/5
e
Which is the smallest value? (a) 355.28 (b) -1/4 (c) 4
b
Which is the biggest value? (a) 8793/4 (b) 13261 (c) 3/8
b
Which is the second smallest value? (a) -0.4 (b) 2/9 (c) -8 (d) 6/11 (e) 29.4 (f) -0.13
a
Which is the sixth smallest value? (a) -9 (b) 3/185 (c) -2/21 (d) 0.5 (e) 1 (f) -2/5 (g) 1/17
d
What is the smallest value in -2.714, -4, 3365?
-4
What is the fifth biggest value in 5, 2/5, 1/425, -3, 4, -335?
-3
What is the third smallest value in -2, -0.4, 620365, -5, -3/20, 0.5?
-0.4
Which is the sixth smallest value? (a) 3 (b) -0.3 (c) -4.2 (d) -0.15 (e) -406 (f) 3/8 (g) -4
f
What is the smallest value in -1/6, -15/13, -30.55?
-30.55
Which is the second smallest value? (a) -6 (b) 484549 (c) -1/13
c
Which is the second biggest value? (a) -20 (b) 209 (c) 0.2 (d) -0.155
c
Which is the biggest value? (a) 6 (b) -8217 (c) -5.7
a
Which is the biggest value? (a) 6/11 (b) -113272 (c) -5 (d) 4 (e) 0.3
d
Which is the second biggest value? (a) 2/7 (b) -0.3 (c) 21.26854
a
Which is the biggest value? (a) 1.7995435 (b) 3/7 (c) -0.1
a
What is the second smallest value in 3097774, 1/2, 0.07?
1/2
Which is the biggest value? (a) 10.2 (b) 9 (c) 1/2 (d) 3 (e) 0.0615
a
What is the fourth biggest value in -6, -702, 13, 12/19?
-702
Which is the biggest value? (a) 1 (b) -8560488 (c) -0.3
a
Which is the smallest value? (a) 21 (b) -3 (c) 3/8 (d) 0.2 (e) 0.24 (f) -768 (g) 1/4
f
What is the second smallest value in -113, 0, -13, -447?
-113
Which is the third smallest value? (a) 67102 (b) 3/4 (c) -9
a
Which is the second smallest value? (a) -0.1 (b) -5 (c) -5821 (d) -55
d
What is the seventh biggest value in 0.03, 1/3, -2, 4, -1/5, 4/5, 2/21?
-2
Which is the third smallest value? (a) -0.2 (b) -0.5 (c) -1.6 (d) 1/4 (e) 0.28741 (f) -67
b
What is the second smallest value in -1/5, -3/2, -1/30, -144, -1/21?
-3/2
What is the second smallest value in 4/159439, 0, 0.5?
4/159439
Which is the biggest value? (a) -0.3 (b) -663/2305 (c) -3 (d) 4
d
Which is the third biggest value? (a) 2/3 (b) -3 (c) -1896713
c
Which is the second smallest value? (a) -19 (b) -1/3 (c) 42 (d) 0.2 (e) 16.6
b
What is the smallest value in -1/7, 0.5, -3/5, 46/107?
-3/5
Which is the biggest value? (a) 4/5 (b) 449/17 (c) 1 (d) 3/5 (e) -145
b
What is the second smallest value in -0.2, -857, -16306?
-857
Which is the third smallest value? (a) 805215 (b) -0.6 (c) -1/4
a
What is the fifth biggest value in 10, -4, -0.3, 51, -2.3?
-4
What is the third biggest value in 0.041, 1, 13, -6439, 1/6?
1/6
Which is the third biggest value? (a) 13230181 (b) -0.2 (c) 0.2
b
Which is the fourth smallest value? (a) -0.01 (b) 3 (c) -0.5 (d) -0.06 (e) -0.4 (f) 1/46
a
Which is the second smallest value? (a) 0.05 (b) 254 (c) -12 (d) -4 (e) 4 (f) -1/7
d
What is the seventh biggest value in -1/5, -3, -6, -0.1, 11, 0.28, 1?
-6
Which is the smallest value? (a) 0.3 (b) -2/13 (c) 133/7599
b
What is the biggest value in -352223, 4, 0.029?
4
What is the smallest value in -3, -0.021552, -16?
-16
Which is the second biggest value? (a) -0.028 (b) 426 (c) 58
c
What is the sixth smallest value in 12, 0.042, 3/4, -5, -3/2, -2/7?
12
What is the second smallest value in 0.5, -0.4, -13, 524, -4?
-4
What is the biggest value in 3, -3, 1, 1.2, -3244?
3
What is the fourth biggest value in -6, -3/164, -1/4, -3, 2, -7?
-3
What is the third smallest value in 1.5, 4, -65, -3, 0.07, -0.04?
-0.04
What is the fourth biggest value in -2.02, -38, -2/9, -1?
-38
Which is the third biggest value? (a) -140865 (b) 4 (c) 54
a
What is the fourth smallest value in 0.5, 4, -647, 55, -13?
4
What is the fourth biggest value in 4, -37, -5, -1/10697, 6, 3/5?
-1/10697
Which is the second smallest value? (a) 0.21 (b) 16 (c) -10047
a
Which is the sixth biggest value? (a) -1 (b) -2/121 (c) -1/9 (d) 3 (e) 35 (f) -0.007 (g) -0.1
c
What is the second smallest value in -0.4, -5, -3.34, -3/4, -22307?
-5
What is the fourth biggest value in -1/3, -2/7, 1/2, -9, 12?
-1/3
What is the smallest value in 29/2, -47/7030, -0.3?
-0.3
Which is the second biggest value? (a) -766/1061 (b) -1/2 (c) -21 (d) 0.4
b
What is the fourth biggest value in 4, 465, -10, 178/11?
-10
Which is the third smallest value? (a) 917/3 (b) 27 (c) -3 (d) -0.2 (e) 6 (f) 5
f
What is the third smallest value in -86.23, 11, -0.5, 15.3?
11
What is the third biggest value in -5, -3972, 123?
-3972
Which is the fifth biggest value? (a) 1 (b) 47 (c) 1.43 (d) 0.031 (e) -5
e
Which is the smallest value? (a) 5 (b) -14 (c) -5012
c
Which is the second biggest value? (a) -9 (b) 0.4 (c) 3 (d) 316888 (e) 0 (f) -0.5 (g) -3
c
What is the smallest value in -197/17, 1, -0.1541?
-197/17
Which is the fourth smallest value? (a) 14776 (b) -5 (c) -12 (d) -4/15
a
What is the biggest value in 2257, -2.8, 54.6?
2257
What is the fifth biggest value in -118, -2, -0.7, -5, -0.114, -3/5, 0.3?
-2
What is the smallest value in -3, -4/5, 21753931?
-3
What is the sixth smallest value in 0, 4, -11, -0.5, -0.3, 569, -334?
4
Which is the sixth smallest value? (a) -2316 (b) 0.1 (c) 1.7 (d) 0 (e) 2/31 (f) 0.3
c
Which is the fifth smallest value? (a) 2/9 (b) -4 (c) -39934 (d) 237/22 (e) 3/2
d
Which is the third biggest value? (a) 21 (b) 786287 (c) -0.02
c
Which is the smallest value? (a) -13.58 (b) -46.4 (c) 33
b
What is the third biggest value in -1099819, 0, 3, -2/23?
-2/23
What is the second smallest value in 1, 5/4, -195/8, 16?
1
What is the biggest value in 23.8, -7/5, -0.5, -20, 0?
23.8
Which is the second biggest value? (a) 0 (b) 29 (c) -71 (d) 4 (e) 292
b
What is the second smallest value in 2/43, 0.4, -244.8, 0.0415?
0.0415
Which is the smallest value? (a) 0.6 (b) -2200 (c) 4 (d) -0.2 (e) 3/8 (f) 2 (g) 0
b
What is the fourth biggest value in -0.4, -181, 110, -17, -2/3?
-17
Which is the third smallest value? (a) -0.035 (b) -9955419 (c) -1
a
What is the second biggest value in -5/84, -129, -0.3, 1, -2.1, 0.1?
0.1
What is the fourth smallest value in -5, 418/135, 5, -29/5?
5
What is the third biggest value in 0.4, 262/1037, 2?
262/1037
What is the sixth biggest value in -0.02, -10, 6/79, -0.5, -3/5, 16/47?
-10
Which is the fourth biggest value? (a) -693 (b) 2/7 (c) 3 (d) 2 (e) 0.157 (f) -2/5
e
What is the sixth biggest value in -616, 19, -2/13, 2/33, -1, -0.4?
-616
Which is the fourth biggest value? (a) -88 (b) -4 (c) 9/7 (d) 7/48 (e) 1 (f) 0.5
d
What is the biggest value in 0.5, 224599512, 0.2?
224599512
What is the biggest value in 0.3, 5, -5923092?
5
Which is the fourth biggest value? (a) -1/3 (b) -3/85 (c) -1805 (d) 5
c
Which is the fifth smallest value? (a) 4/3 (b) -1 (c) -1.7 (d) 0.02 (e) -2/142031
a
Which is the smallest value? (a) -0.5 (b) 12 (c) -2/3 (d) 0.01 (e) 42.94 (f) 0 (g) 2/3
c
Which is the smallest value? (a) -2/11 (b) -20010.5 (c) -0.6 (d) 3
b
Which is the third biggest value? (a) -4 (b) -2/5 (c) -7886414
c
Which is the third smallest value? (a) -3/7 (b) 1/8 (c) 0.732525 (d) -0.17
b
What is the fifth biggest value in 763, 0.4, 0.1, 1, 1/9, 3/7, -0.01?
1/9
Which is the biggest value? (a) -5 (b) 1 (c) -383/5 (d) 2 (e) -180
d
Which is the second smallest value? (a) 0.2 (b) -1/4 (c) -93 (d) -0.2 (e) 76
b
Which is the smallest value? (a) -8/1173 (b) -363 (c) -3/7 (d) 1/4
b
Which is the fourth biggest value? (a) 0.1 (b) -0.5 (c) -8 (d) 98 (e) 0.2 (f) -0.02 (g) 4032
a
What is the fourth smallest value in -1/13, -11, 4, -37266?
4
What is the second biggest value in -1/4, 0.2, -524519?
-1/4
Which is the smallest value? (a) -0.0996 (b) -5 (c) 4 (d) -14 (e) -0.21 (f) -2
d
Which is the second biggest value? (a) 3 (b) -5 (c) 0.16 (d) -9 (e) 0.068 (f) -135
c
What is the smallest value in 43, -132/17, -4, -2/15?
-132/17
What is the second biggest value in 26, 1, -1282, -3/7, 5, -10, 1/2?
5
Which is the s | {
"pile_set_name": "DM Mathematics"
} |
= 5*l, b = -4*l - 46. Let i be 3/(-4)*(-2)/l. What is the third biggest value in 3, 0.5, i?
i
Let v = 0 + 0. Let z = -377 + 4899/13. Which is the third biggest value? (a) v (b) 1/7 (c) z
c
Let n = -0.013 - 3.987. Which is the third smallest value? (a) 0 (b) n (c) -3/7
a
Suppose 13 - 38 = -5*r. Let z = -2 + -3. Let y = z - -8. What is the smallest value in y, r, 3/8?
3/8
Let g = -0.012 + -13.988. Which is the biggest value? (a) 3 (b) g (c) -5
a
Let q = 5.8 - 4.8. What is the second biggest value in q, 3, 5?
3
Let m = -1 + 1.01. Let p = m + -6.01. Let f = p - -11. Which is the second biggest value? (a) f (b) 0.4 (c) 4
c
Let d = -0.01 + -0.02. Let y = 0.03 + d. Suppose 3*i + z + 5 + 2 = 0, -8 = 3*i + 2*z. Which is the second biggest value? (a) -3/8 (b) y (c) i
a
Let t = -419/1060 + -1/212. Let j = 4 + -7. Let y = 0 - j. Which is the biggest value? (a) t (b) y (c) 0
b
Suppose -4*w - 9 = -1. Let m = 0.7 + 2.3. Which is the second smallest value? (a) m (b) w (c) -0.1
c
Let n = -14 - -12.9. Let f = -1 - n. Let a = 528/5 - 106. What is the third smallest value in a, f, -0.1?
f
Let j = 8 + -6. Let q be 3 - j/((-88)/(-108)). Which is the smallest value? (a) q (b) 3 (c) -4
c
Suppose 1 = -3*l + 10. Let w = 28 - 30. What is the biggest value in l, w, -2/9?
l
Suppose 14 = -5*z - 11. Which is the fourth smallest value? (a) 3 (b) z (c) 4 (d) 0.5
c
Let n = -29 - -29.2. What is the fourth biggest value in -2/11, 4, 6, n?
-2/11
Suppose -o - 3*k = -0 + 18, -o = -k - 2. Let w be o - (-1)/(-2) - -2. Which is the third smallest value? (a) 2/5 (b) -0.3 (c) w
a
Let n = 7 - 12. Let s = 0.99 + 0.01. What is the third smallest value in s, n, -1/5?
s
Suppose 2*f = 2*i - f - 17, -4*f - 4 = 0. Which is the second biggest value? (a) -1 (b) i (c) -0.5 (d) 5
d
Let i = 81.5 - 81. Which is the smallest value? (a) -6 (b) -1/2 (c) i (d) -5
a
Let v = 4.52 - 1.52. Which is the fourth smallest value? (a) -0.5 (b) 4 (c) -1/4 (d) v
b
Let h = 2.2 + 0.8. Let q = -4 + h. Let v be -1*1*6/(-18). Which is the third biggest value? (a) q (b) -1/2 (c) v
a
Suppose 3*v - u + 5 = u, -4*v = 4*u. Let w be (-9)/(-5) - (v - -3). Let t = w + -1/5. What is the biggest value in -0.2, -2/11, t?
-2/11
Let r = 0.01 - -4.99. What is the third smallest value in 3, 0.3, r?
r
Let x be 1 - (-2 - 10/(-4)). Let o = -6 + 1. Which is the second biggest value? (a) -4 (b) o (c) x
a
Let j = 5 + -3. Let f = j - 3.4. Let i = f + 1. What is the biggest value in i, 0.5, 0.2?
0.5
Let b = 27 + -19. Let k = b - 8.1. What is the smallest value in k, -1/2, 0?
-1/2
Let z(r) = -r**3 - 4*r**2 + 4*r. Let a be z(-5). What is the second biggest value in 1/5, a, -4?
1/5
Let x = 3.023 - 0.023. Let m be (-66)/(-21) - (-2 - -5). Which is the second smallest value? (a) x (b) m (c) 2
c
Let m = 106 - 100.8. What is the biggest value in 1/7, m, 0.1?
m
Let j = -1.8 + -0.2. Which is the biggest value? (a) -3 (b) -10 (c) j
c
Let v(z) = z**3 + 12*z**2 - 14*z - 18. Let u be v(-13). What is the third smallest value in 0.2, -1/4, u?
0.2
Let g = -2.8 + 3. Let l = -8 - -8.3. Let s = l + g. Which is the third biggest value? (a) -1/2 (b) s (c) 4
a
Let g be -5*(10/(-175))/(-1). Which is the third biggest value? (a) g (b) 5 (c) -0.1
a
Let u = -0.11 - -9.11. Let p = -6 + u. Let z = -3.5 + 3. Which is the third biggest value? (a) p (b) -5 (c) z
b
Suppose 4*t + 5*l - 21 = 0, 2*t = 4*t + 2*l - 8. Which is the second biggest value? (a) t (b) 20 (c) 3/2
c
Let v = -0.032 + 0.152. Which is the smallest value? (a) -2/11 (b) -1/4 (c) v
b
Suppose -5*i + 5*w + 20 = 0, -w + 2 = 2*i - 0*w. Suppose h - i = 3. Let g be ((-4)/10)/(1/h). What is the third smallest value in g, 0, -0.3?
0
Let w be (-310)/6720*(-18)/4. Let s = w + 5/64. Which is the third smallest value? (a) s (b) 0.1 (c) 2/11
a
Let c = -0.3 + 0.2. Let r = 5.03 + -5. Let y = 0.43 - r. What is the smallest value in 1, c, y?
c
Let u = -3 + 2.95. Let f = u - -3.05. Let i = 5 - f. What is the second smallest value in i, 1, -1/7?
1
Let n = -0.27 + 7.97. Let i = n - 8. Let p(w) = w**2 + 7*w - 3. Let t be p(-7). Which is the smallest value? (a) -2 (b) t (c) i
b
Let n(h) = -h**3 + 3*h**2 + 5*h - 6. Let u be n(4). Suppose -232*c = -236*c + 8. What is the third biggest value in c, u, -3/4?
u
Let y = 149/35 + -22/5. Which is the third smallest value? (a) y (b) -0.5 (c) 2/7
c
Let y be 22/33 + 2/(-2). Let l = 3 - 2.7. Let g = l + 0.2. Which is the smallest value? (a) y (b) 1 (c) g
a
Let i = 0.8 + -0.4. Let p = 9 + -11.1. Let q = p - -2. Which is the second smallest value? (a) q (b) i (c) 0.2
c
Let g = 105 - 109. Let l = 0.1 - 0.2. Which is the second smallest value? (a) g (b) 0.2 (c) l
c
Let a = -34744 + 172938/5. Let m = 2263/20 + a. Let k = m - -43. What is the second biggest value in -0.5, -0.1, k?
k
Suppose -3 = -0*q - q. Which is the smallest value? (a) 7 (b) 2/3 (c) q
b
Let d = 1.28 + -0.28. Let g be (8/(-10))/((-1)/(-5)). Which is the smallest value? (a) d (b) g (c) -2
b
Let i = 0.4 - -0.6. Let n = -1.5 + i. Let q = 1.1 - 0.6. Which is the second smallest value? (a) q (b) -5 (c) n
c
Let p be (-12)/66 + 70/22. Suppose 4*i + 1 + p = 0, b - 2*i + 1 = 0. What is the third smallest value in 0.4, -0.5, b?
0.4
Let l = 1.24 - 0.14. Let u = 0.1 - l. Let q = 0.63 + -0.13. Which is the smallest value? (a) q (b) 2/5 (c) u
c
Let x = -0.11 - -8.11. Let b = x + -5. Let m = 4.2 + -4. What is the third biggest value in 0, m, b?
0
Let i = -0.33 + 1.63. What is the biggest value in -5, i, 4?
4
Let t = -7/3 - -43/21. What is the biggest value in t, -3/13, 0.5?
0.5
Let n = 3.9 + -4. Let k = -1.4 - -0.9. Which is the second smallest value? (a) n (b) k (c) -4
b
Let z = 0 - 5. Let i = z - -4.5. Which is the second biggest value? (a) 4 (b) -5 (c) i
c
Let o = 206.95 + -202. Let s = o - -0.05. Let f = 0.04 + 2.96. Which is the third smallest value? (a) s (b) -3 (c) f
a
Suppose -5 = 5*q + 5*d, 4*d = -d. Which is the biggest value? (a) -3 (b) q (c) 3/5
c
Let w be 3 + 2 + 120/(-25). What is the fourth smallest value in -0.4, -4, w, 6?
6
Let i = 54 + -54. What is the biggest value in 2, i, 0.2, 2/7?
2
Suppose 0 = 2*d - 3*d + 4*h - 16, -3*d - 8 = -4*h. Which is the third biggest value? (a) d (b) 2/9 (c) 3
b
Let o = 0.2 - -0.3. Let t = -5 + 4. Let a = t - 2. What is the third biggest value in -4, o, a?
-4
Let l = -5.9 + 6. Which is the second smallest value? (a) 0.2 (b) -0.3 (c) l (d) -0.5
b
Let z = -2.2 - -0.2. Let v = 2/195 - -128/195. What is the second biggest value in -0.4, v, z?
-0.4
Suppose -16 = -2*z + 3*y, -5*y + 7*y + 4 = 0. Let u = 0.4 + 0.1. Let f = -6.4 - -6. Which is the second biggest value? (a) u (b) z (c) f
a
Let w = -0.41 - 1.59. What is the third smallest value in w, -1/2, 0.1?
0.1
Let s = 1.15 - 25.15. Which is the second biggest value? (a) -3 (b) s (c) 0.2 (d) 0
d
Let t be 4/10*(-165)/12. Let g = 3473/6 + -573. Let p = g + t. What is the biggest value in 0, p, -6?
p
Let x = 8.5 - 8. Which is the third smallest value? (a) -5 (b) x (c) 2
c
Let c be (2/(-12))/(2/16*4). What is the biggest value in -4, c, -0.1?
-0.1
Let x be ((-152)/(-25))/(4/10). Let g = x - 73/5. Let l = -2 + 1.7. Which is the smallest value? (a) g (b) -1/2 (c) l
b
Let z = 0.3 + -0.22. Let h = z + -5.08. Let w = h + 3. What is the third biggest value in w, 5, 2/3?
w
Let v = 5 + -1. Let d = -2 + 3. What is the third smallest value in 3/5, v, d?
v
Let j be 5*(1 + 1)*(-2)/5. Let q = 0.6 - -2.4. What is the second smallest value in 4, j, q?
q
Let r = -1.9 - -2.4. What is the second biggest value in r, 0, 0.3?
0.3
Let p = -26 - -27. What is the smallest value in -1/4, p, 2/5?
-1/4
Let o = 15 - 9. What is the third smallest value in o, 5, 2/9?
o
Let u = 7 + -7.36. Let m = 0 + -0.04. Let w = u + m. Which is the third biggest value? (a) 0.06 (b) 3/8 (c) w
c
Let u = 47.7 + -59. Let g = 11 + u. Which is the smallest value? (a) -2 (b) g (c) 5
a
Let z = 101.7 - 102. Suppose 5*t - 4 = -3*q, -q - 9 = -4*q. Let o be (t/(-6))/((-1)/(-4)). What is the third smallest value in z, 0.5, o?
o
Let z = -0.13 - -0.23. What is the fourth smallest value in -3/8, z, -0.5, -1?
z
Let s = -2 + 3. Let a be ((-10)/(-3))/((-6)/(-9)). Let b = 4 - a. What | {
"pile_set_name": "DM Mathematics"
} |
, -5153208, -5153228, -5153254, -5153286?
-3*p**2 + p - 5153184
What is the d'th term of 738176, 1476352, 2214528, 2952704, 3690880?
738176*d
What is the b'th term of -2855, -7349, -13473, -21227, -30611, -41625, -54269?
-815*b**2 - 2049*b + 9
What is the m'th term of 1093327, 1093029, 1092533, 1091839, 1090947?
-99*m**2 - m + 1093427
What is the p'th term of -121818, -121837, -121856?
-19*p - 121799
What is the p'th term of 4859, 9811, 14847, 19961, 25147, 30399, 35711, 41077?
-p**3 + 48*p**2 + 4815*p - 3
What is the b'th term of 88669071, 88669070, 88669069?
-b + 88669072
What is the t'th term of -23115800, -46231599, -69347398, -92463197, -115578996?
-23115799*t - 1
What is the y'th term of -731219156, -1462438314, -2193657472, -2924876630, -3656095788?
-731219158*y + 2
What is the r'th term of 51635, 52607, 53579, 54551, 55523?
972*r + 50663
What is the n'th term of -6909, -43429, -104293, -189501, -299053, -432949, -591189?
-12172*n**2 - 4*n + 5267
What is the o'th term of 2840, 1382, -4364, -14392, -28696?
o**3 - 2150*o**2 + 4985*o + 4
What is the v'th term of -20401806, -20401787, -20401756, -20401713, -20401658?
6*v**2 + v - 20401813
What is the s'th term of 15493636, 30987297, 46480958, 61974619, 77468280?
15493661*s - 25
What is the k'th term of 3606731, 7213462, 10820193, 14426924?
3606731*k
What is the l'th term of -53095741, -212382969, -477861681, -849531877, -1327393557?
-53095742*l**2 - 2*l + 3
What is the n'th term of -73809, -147674, -221535, -295386, -369221, -443034, -516819?
n**3 - 4*n**2 - 73860*n + 54
What is the a'th term of 5777, 11848, 18057, 24404?
69*a**2 + 5864*a - 156
What is the h'th term of -2413, -4893, -7391, -9907, -12441, -14993?
-9*h**2 - 2453*h + 49
What is the r'th term of -493, 66, 935, 2114?
155*r**2 + 94*r - 742
What is the l'th term of 25975715, 51951423, 77927131, 103902839?
25975708*l + 7
What is the k'th term of -6284, -17543, -28802, -40055, -51296, -62519?
k**3 - 6*k**2 - 11248*k + 4969
What is the j'th term of -44762543, -44762547, -44762561, -44762591, -44762643, -44762723, -44762837?
-j**3 + j**2 - 44762543
What is the x'th term of -814691, -3258515, -7331555, -13033811, -20365283, -29325971?
-814608*x**2 - 83
What is the y'th term of -25209, -51289, -77379, -103485, -129613, -155769?
-y**3 + y**2 - 26076*y + 867
What is the t'th term of 12097513, 12097509, 12097503, 12097495?
-t**2 - t + 12097515
What is the l'th term of -46945, -46982, -47031, -47092, -47165, -47250, -47347?
-6*l**2 - 19*l - 46920
What is the q'th term of -10025, -80241, -270791, -641831, -1253517, -2166005?
-10026*q**3 - 11*q**2 - q + 13
What is the y'th term of -218483, -436945, -655407, -873869?
-218462*y - 21
What is the d'th term of 3321, 6853, 10391, 13935?
3*d**2 + 3523*d - 205
What is the v'th term of 113377, 113343, 113309, 113275?
-34*v + 113411
What is the k'th term of 14222, 14842, 15872, 17312?
205*k**2 + 5*k + 14012
What is the t'th term of -1402, -1019, -396, 461, 1546?
-t**3 + 126*t**2 + 12*t - 1539
What is the s'th term of 394979, 789949, 1184919?
394970*s + 9
What is the x'th term of -268, 553, 1376, 2201, 3028, 3857, 4688?
x**2 + 818*x - 1087
What is the f'th term of 7451769, 14903536, 22355303, 29807070?
7451767*f + 2
What is the i'th term of -3235, -6956, -11649, -17800, -25895, -36420, -49861?
-81*i**3 - 3154*i
What is the b'th term of 731278, 1462731, 2194184?
731453*b - 175
What is the f'th term of -4349, -8772, -13137, -17414, -21573, -25584?
5*f**3 - f**2 - 4455*f + 102
What is the p'th term of -8719, -8696, -8671, -8644, -8615?
p**2 + 20*p - 8740
What is the z'th term of 16178, 32506, 48858, 65246, 81682, 98178, 114746?
2*z**3 + 16314*z - 138
What is the q'th term of 76753, 156470, 236187, 315904, 395621, 475338?
79717*q - 2964
What is the b'th term of -4780575, -9561160, -14341745, -19122330?
-4780585*b + 10
What is the m'th term of -49458, -44047, -38636, -33225?
5411*m - 54869
What is the x'th term of 3047104, 6094205, 9141306, 12188407, 15235508, 18282609?
3047101*x + 3
What is the u'th term of -360118, -720317, -1080518, -1440721, -1800926, -2161133?
-u**2 - 360196*u + 79
What is the x'th term of -642, -2130, -4584, -7998, -12366, -17682, -23940, -31134?
x**3 - 489*x**2 - 28*x - 126
What is the f'th term of -1182, -2162, -2870, -3306, -3470?
136*f**2 - 1388*f + 70
What is the c'th term of -12227, -48920, -110083, -195716, -305819, -440392?
-12235*c**2 + 12*c - 4
What is the m'th term of 345076, 2760715, 9317456, 22085851, 43136452?
345092*m**3 - m**2 - 2*m - 13
What is the k'th term of 298515, 597022, 895529, 1194036?
298507*k + 8
What is the h'th term of -7993189, -15986379, -23979569, -31972759?
-7993190*h + 1
What is the i'th term of -1158, -4436, -9898, -17538, -27350, -39328?
i**3 - 1098*i**2 + 9*i - 70
What is the g'th term of -17287, -34553, -51799, -69025, -86231, -103417?
10*g**2 - 17296*g - 1
What is the d'th term of -740, -1431, -1962, -2237, -2160, -1635, -566?
16*d**3 - 16*d**2 - 755*d + 15
What is the x'th term of 3311, 6288, 9265?
2977*x + 334
What is the n'th term of 16210, 32480, 48752, 65026, 81302, 97580?
n**2 + 16267*n - 58
What is the x'th term of -18526414, -37052836, -55579258?
-18526422*x + 8
What is the z'th term of 130638, 130733, 130828, 130923?
95*z + 130543
What is the j'th term of 27709, 33796, 39883?
6087*j + 21622
What is the r'th term of -949631, -949606, -949533, -949388, -949147, -948786, -948281?
4*r**3 - 3*r - 949632
What is the k'th term of -18762923, -37525850, -56288777, -75051704, -93814631?
-18762927*k + 4
What is the z'th term of -39113318, -39113316, -39113314, -39113312, -39113310, -39113308?
2*z - 39113320
What is the r'th term of 151756, 303630, 455504, 607378?
151874*r - 118
What is the r'th term of 8707728, 34830901, 78369524, 139323597, 217693120, 313478093, 426678516?
8707725*r**2 - 2*r + 5
What is the r'th term of 1597323, 1597317, 1597311?
-6*r + 1597329
What is the i'th term of -538252, -538315, -538408, -538531, -538684, -538867?
-15*i**2 - 18*i - 538219
What is the f'th term of -3435, -5098, -6761, -8424?
-1663*f - 1772
What is the r'th term of 2895, 22823, 76937, 182337, 356123?
2850*r**3 - 7*r**2 - r + 53
What is the i'th term of -2265372656, -2265372655, -2265372654, -2265372653?
i - 2265372657
What is the s'th term of 20979197, 20979191, 20979187, 20979185, 20979185, 20979187, 20979191?
s**2 - 9*s + 20979205
What is the p'th term of 121962, 243967, 366058, 488277, 610666, 733267, 856122, 979273?
7*p**3 + p**2 + 121953*p + 1
What is the k'th term of 33019, 65404, 97159, 128284, 158779, 188644, 217879?
-315*k**2 + 33330*k + 4
What is the d'th term of -4604, -710, 3184, 7078, 10972, 14866?
3894*d - 8498
What is the u'th term of -807077, -807087, -807099, -807113, -807129, -807147?
-u**2 - 7*u - 807069
What is the s'th term of 31215, 31045, 30875, 30705, 30535, 30365?
-170*s + 31385
What is the u'th term of -56499, -112966, -169395, -225786?
19*u**2 - 56524*u + 6
What is the q'th term of 18236860, 18236802, 18236742, 18236680, 18236616, 18236550, 18236482?
-q**2 - 55*q + 18236916
What is the v'th term of 826, 7273, 25236, 60625, 119350, 207321, 330448, 494641?
985*v**3 - 152*v**2 + 8*v - 15
What is the m'th term of 2246757821, 2246757822, 2246757823?
m + 2246757820
What is the u'th term of -512348, -512290, -512194, -512060?
19*u**2 + u - 512368
What is the m'th term of 2035, 4158, 6255, 8326, 10371, 12390, 14383?
-13*m**2 + 2162*m - 114
What is the d'th term of 89513344, 89513349, 89513368, 89513407, 89513472, 89513569?
d**3 + d**2 - 5*d + 89513347
What is the a'th term of -7978, -15913, -23820, -31699?
14*a**2 - 7977*a - 15
What is the p'th term of -1016533142, -1016533145, -1016533158, -1016533187, -1016533238?
-p**3 + p**2 + p - 1016533143
What is the d'th term of 5966, 9527, 13088, 16649?
3561*d + 2405
What is the j'th term of -156186, -156267, -156480, -156891, -157566, -158571?
-11*j**3 - 4*j - 156171
What is the q'th term of -860658, -1721282, -2581906?
-860624*q - 34
What is the g'th term of -4804350, -4804349, -4804348, -4804347, -4804346?
g - 4804351
What is the a'th term of -464585481, -929170966, -1393756451, -1858341936, -2322927421, -2787512906?
-464585485*a + 4
What is the f'th term of 4774, 4808, 4822, 4816, 4790, 47 | {
"pile_set_name": "DM Mathematics"
} |
to 0 decimal places.
1
Let k = -225.456 + 0.456. Let h = k - -224.99983. What is h rounded to five decimal places?
-0.00017
Let x = 0.19 - 98.59. Let u = 117 + x. Round u to the nearest integer.
19
Let a = 0.3 - 0.371. Let d = a + -46.929. Let q = 50.1 + d. Round q to the nearest integer.
3
Let u = 41.8 - 41.292. Let l = 52.308 - u. What is l rounded to the nearest integer?
52
Let t = -14754.999986277 + 14755. Round t to six decimal places.
0.000014
Suppose 170*d + 23297436 = -360205564. Round d to the nearest 100000.
-2300000
Let q = 536 + -534. Suppose -t - 2*v = -q*t - 26194, 0 = -4*t + 6*v - 104782. Round t to the nearest one thousand.
-26000
Let p = 0.0491 - -0.877. Let y = p + -0.93. What is y rounded to 2 decimal places?
0
Let t = -411 - 215. Let p = -626.108 - t. What is p rounded to 2 dps?
-0.11
Let h(u) = -295*u + 60. Let x(l) = -589*l + 120. Let s(f) = -5*h(f) + 2*x(f). Let a be s(-20). Round a to the nearest 1000.
-6000
Suppose -5*g + 26688 = -3*v, 4*v - 23*v = 2*g - 10655. Round g to the nearest one thousand.
5000
Let p = -150172 + 235372. Suppose 15*f + 0*f = p. Suppose -4*s = 4, 0 = -3*z - 2*s + f - 852. Round z to the nearest one hundred.
1600
Let j(z) = z**3 - 4*z**2 - 11*z - 1. Let w be j(6). Suppose 2*s + 2*n + 19304 = 4*n, w*s - n + 48280 = 0. Let q = s + 4657. Round q to the nearest ten thousand.
-10000
Let r = 74.936033 - -0.049967. Let z = 0.014 + r. Let y = -74.999866 + z. What is y rounded to 5 dps?
0.00013
Let x(g) = -396369*g + 166. Let d be x(14). Round d to the nearest one hundred thousand.
-5500000
Let p(o) = -5755*o**2 + 102*o + 285. Let u be p(45). What is u rounded to the nearest one million?
-12000000
Let j(w) = -9966*w + 149. Let v be j(16). Let k be ((-686614)/(-6))/(2/(-6)). Let q = k - v. Round q to the nearest 10000.
-180000
Let v(u) = -u**3 + 7*u**2 - 8*u - 3. Let i be v(6). Let a be (-142)/(-1065) + 19815002/i. Round a to the nearest one hundred thousand.
-1300000
Suppose 2*z = 2*u - 336320991 - 490978993, -413650024 = z + 3*u. Round z to the nearest 1000000.
-414000000
Let z = 4.477 - -5465.323. Round z to the nearest ten.
5470
Let x(g) = -32144*g**2 - 19*g - 42. Let t be (-4 - 24/(-5))/((-10)/175). Let s be x(t). Round s to the nearest 1000000.
-6000000
Let i = 1753 + -1555.1. What is i rounded to the nearest 10?
200
Let c = -1835627 + 1835458.0011. Let z = 177 + c. Let b = z - 8. What is b rounded to three dps?
0.001
Let s = -6.8275 + -0.2075. Let o = s - 0.165. What is o rounded to the nearest integer?
-7
Let m = -6.1 + 43.2. Let c = m + -15.2. Round c to zero decimal places.
22
Let q = -214456.389939 - -214443.89. Let x = 16.5 - 29. Let u = x - q. Round u to 5 dps.
-0.00006
Let o = -50.37137 - -47.482. Let f = o - -2.89. Round f to 4 decimal places.
0.0006
Let i = 348 - 363. Let s(b) = -b**2 - 16*b - 67. Let m be s(i). What is m rounded to the nearest 10?
-50
Let t = -12203909 + 1718763. Let a = 13867511 + -7682365. Let s = t + a. Round s to the nearest 1000000.
-4000000
Let c = -351.49 - -353. Let a = c + 5.026. Let w = -6.6 + a. Round w to 2 decimal places.
-0.06
Let p = -70 - -63.8. Let c = p - -6.19999529. What is c rounded to six dps?
-0.000005
Let g = -86283 - -86061.284. Let x = g - -217. Let r = x + -0.034. Round r to the nearest integer.
-5
Let l = 2.3716 + 0.0284. Let m = 5.5877 - 7.98774. Let y = m + l. Round y to 4 decimal places.
0
Suppose 3*v - 9 = -4*u, 2*u - u = 0. Suppose -2*z - z = -v*m + 48179988, 64239988 = 4*m - 3*z. What is m rounded to the nearest 1000000?
16000000
Let q = -424 - -610. Let y = -119 + q. Let a = y + -66.9999515. What is a rounded to five decimal places?
0.00005
Let r = -8498 - -8497.99973265. What is r rounded to five decimal places?
-0.00027
Let d = 866 + -915.025. Let k = -0.025 - d. Let m = k - 50.05. What is m rounded to one decimal place?
-1.1
Let u = 4.19 + -4.4306. Let z = u + 11.4306. Round z to the nearest integer.
11
Let q(u) = 14*u + 15. Let r be q(0). Suppose r*x - 136275 - 54225 = 0. Round x to the nearest one thousand.
13000
Let a = 5672997 + -3823145. Let o = 1849852.2440131 - a. Let w = o - 0.244. What is w rounded to 6 dps?
0.000013
Let x = -18.07713 + 404.07585. Let a = x - 386. What is a rounded to three dps?
-0.001
Let l(b) = 4*b + 80. Let y be l(-20). Suppose y*z + 32 = 16*z. Suppose -9*u + 128700000 = z*u. What is u rounded to the nearest 1000000?
12000000
Let s = -2.4207 - -0.3027. What is s rounded to the nearest integer?
-2
Let t = 325 - 211. Let k = -114.001616 + t. What is k rounded to 4 dps?
-0.0016
Let d(l) = -3425*l - 5. Let y be (-1 + 0)/((-76)/(-16) - 5). Suppose -5*k - 20 = -5*p, y*k + 2*p - 9 = p. Let s be d(k). Round s to the nearest 100.
-3400
Suppose 9*a - 2*a - 800799846 = 0. Let z be a/55 - 2/(-5). What is z rounded to the nearest one hundred thousand?
2100000
Let t(z) = -z + 7. Let k be t(8). Let a = -120 + 128. Let j be a + -6 + k + -108001. What is j rounded to the nearest ten thousand?
-110000
Let n = -4591.6 - -4591.60000070235. Round n to 7 decimal places.
0.0000007
Suppose -l = -0*l - 2*m - 351, m = -1. Suppose -2*d - 4*q - l + 1439 = 0, -4*q - 2132 = -4*d. What is d rounded to the nearest 100?
500
Let u = -12 - -16. Suppose 14130 = z + u*z. Suppose -q + 0*g + 3*g + z = 0, 4*q - 11282 = g. Round q to the nearest 100.
2800
Let p(h) = 80847*h + 2. Let d(x) = x**2 - 2*x + 4. Let u be d(0). Let v be p(u). Let f = v + -1013390. Round f to the nearest one hundred thousand.
-700000
Let i = -85 + 4. Let t = 71 + i. Let z = t + 9.99999952. Round z to seven dps.
-0.0000005
Let u = 11.962 + -12.2. Let z = 12311.562 + -12263. Let l = z - u. What is l rounded to the nearest integer?
49
Let r = 515.672 + 0.328. Let h = r - 516.526. Round h to 2 decimal places.
-0.53
Let n = 20.958 + 0.042. Let z = n + -21.85. Let j = 0.37 + z. What is j rounded to one dp?
-0.5
Let z = -148 - -151. Suppose 4*b - 16980004 = z*p, -b = -5*p - 6327659 - 21972325. Let v be 2 - ((1 - 3) + p). What is v rounded to the nearest 1000000?
6000000
Let z be 6968338/(-26) + 56/(-8). What is z rounded to the nearest 1000?
-268000
Let b = 8.412 + -34.78. Let n = 26.4 + b. Round n to 2 dps.
0.03
Let y = 5.71281 - 5.6645518. Let j = 400.3047418 + y. Let l = -400 + j. Round l to 2 decimal places.
0.35
Suppose 3*k = -2*p + 1941480006, -3*k = -5*p + 870934627 - 2812414612. What is k rounded to the nearest one million?
647000000
Let i = -48986 - -48986.052123. What is i rounded to four dps?
0.0521
Let n = 320379584.720000075 + -320379588. Let q = n - -3.28. What is q rounded to seven dps?
0.0000001
Let y be 10078379948/234 - (-1 - (-49)/63). Round y to the nearest 1000000.
43000000
Let m = -4.7 + 7.6. Let d = m - 2.914. Let a = -0.306 + d. What is a rounded to 1 decimal place?
-0.3
Let o(z) = -102449*z - 68. Let i be o(-14). Suppose 4*t + i - 15394218 = 0. Round t to the nearest 100000.
3500000
Let t = -1504.2 + 1575. Let p = 0.113 + 70.887. Let g = p - t. What is g rounded to the nearest integer?
0
Suppose -11*x = -8*x - 348. Let y be (x/(-8))/((7/(-22))/(-7)). What is y rounded to the nearest 10?
-320
Suppose 0*g = -27*g + 2419586532. Suppose -7*p = -g - 485085684. Round p to the nearest 1000000.
82000000
Let m = 157.013 - 157.7. Let g = m + 0.66. Let s = 0.004 + g. Round s to 2 decimal places.
-0.02
Let u(f) be the first derivative of 2965*f**2/2 + 25*f + 1075. Suppose k = 2*k + 5. Let v be u(k). What is v rounded to the nearest 1000?
-15000
Let t = -0.61 + -0.01. Let y = -112.38 + t. Let x = y + 112.99909. What is x rounded to 4 dps?
-0.0009
Let i = -8118.7 - -8126.8009. Let d = i - 8.1. Round d to three decimal places.
0.001
Let t(l) = -1235*l + 354. Let s be t(32). Let o = s + 67166. What is o rounded to the nearest one thousand?
28000
Let z = -0.76826 - -0.7731893. Round z to 3 dps.
0.005
Let r be ((-410)/(-15))/(-2)*-3. Suppose 4*l - r = -i + 3*l, 5*l = -25. Suppose -5*f - i - 19 = 0. What is f rounded to the nearest ten?
-10
Let c = -0.0333234677 + 0.03331. What is c rounded to six dps?
-0.000013
Suppose 2*r + 5*t = 6*t - 80, -5*t + 58 = -r. Let d = -39 + r. Let g be (2 + 1)*d/3. Round g to the nearest ten.
-80
Let u = 8813.055 - 8787. Let q = u - 26. Let o = 0.0369 - q. Round o to 3 decimal places.
-0.018
Let v(r) = -r - 2 - 737*r**2 + 82*r**2 + 2*r. Le | {
"pile_set_name": "DM Mathematics"
} |
+ 29 = 0, -c + 1 = 0 for b.
8
Solve 6 = -3*q + 2*l, 3*q + 3*l + 4858 = 4852 for q.
-2
Solve -3*v - 4*p = 31, -10 = -2*v + 5928*p - 5923*p for v.
-5
Solve 3*j = 3*r - 238 + 226, r = -j - 6 for r.
-1
Solve 0 = -5*i + 4*y + 77, -i - 22*y = -21*y + 26 for i.
-3
Solve 4*s - h - 3 = 0, 2*s - 8*h + 11*h = -23 for s.
-1
Solve 3*h - 5 + 10 = -4*v, 0 = -4*h + 3*v + 10 for h.
1
Solve 75*m + 4 = 77*m + 2*x, -2*x + 10 = -m for m.
-2
Solve -3 + 0 = v, 42*v + 7*v = -3*d + 11*v - 114 for d.
0
Solve -13*x - 2*d + 116 = 145, 4*x - 4*d + 32 = 0 for x.
-3
Solve 30*c - 30*c = -3*k + 15, -77 = -18*c - k for c.
4
Solve 12 = 613*y - 617*y, -d - 4*y - 9 = 0 for d.
3
Solve n - 4 = 3*y, 0 = -3*y + 19 - 16 for n.
7
Solve 6*b = 60*p - 56*p + 4, 0*b + 8 = -2*b for p.
-7
Solve -5*z = -w - 23, -2*w = 4447*z - 4448*z + 1 for w.
2
Solve -5*h = 20, -3*h = 4*l - 227 + 255 for l.
-4
Solve 4*k = 20, 3*k = 4*i + 12 + 23 for i.
-5
Solve -2*k + 2*y + 112 = 86, -12*k + 21 = 3*y for k.
4
Solve -5*z + 26 - 36 = -2*t, t = 5 for z.
0
Solve -97658*k - 11 = -97661*k + i, 0 = -2*k + 4*i - 6 for k.
5
Solve 4*y = -3*n + 8, -y + 2*n + 1313 = 1311 for y.
2
Solve 5*v - 37 = 3*q, 3467 - 3455 = 4*v + 2*q for v.
5
Solve 2*u = -5*p - 20, 304*p - 5*u = 299*p + 15 for p.
-2
Solve 104 = 14*d - 5*t, -14 = -154*d + 149*d - 4*t for d.
6
Solve -3*j + 2*m - 2 = 0, j - 5*m - 5 = 16 for j.
-4
Solve 14 = -i + 11, 3*i + 13 = 4*x + 4*i for x.
4
Solve 0 = x + 3*h + 687 - 679, -2*h = -4*x + 10 for x.
1
Solve -3421 = -2*b + 2*x - 3445, -2*b - 6 = 4*x for b.
-9
Solve -3*x + 165 = -5*p + 127, -3 = 3*p for x.
11
Solve 4*u = -16, -13946 = t + 4*u - 13929 for t.
-1
Solve -4*n = 4*o + 4, -204*o = -207*o + 3*n + 33 for o.
5
Solve 0 = 2*f - 2637*u + 2633*u - 10, 2*u = 5*f - 1 for f.
-1
Solve c - 41 = 76*b - 71*b, -3*c = 5*b + 37 for c.
1
Solve 0 = -5*y + 5*v - 5, 66*y - 4*v = 71*y - 49 for y.
5
Solve -504*s = -505*s - u - 2, -s - 16*u = 62 for s.
2
Solve -5 = 99*p - 109*p - 3*v, 2*p - 4*v - 10 - 14 = 0 for p.
2
Solve -51 = 4*h - 3*i, 4503*h + 2*i + 10 = 4502*h for h.
-12
Solve -w + 31 = 2*f, -4*f - w = 370 - 437 for f.
18
Solve -2*h + 35 = 3*r, -7*r + 12*h + 67 = 13*h for r.
9
Solve x + 4*r + 24 = 5*x, 4*r = 2*x - 22 for x.
1
Solve -4*m - 68 = -4*z, 95*m + 4*z = 142*m + 885 for m.
-19
Solve -20*b + 21*b - 46 = -3*j, 0 = 5*j - 5*b - 50 for j.
14
Solve 5*x + m + 125 - 143 = 0, 0 = -3*x - m + 12 for x.
3
Solve 89 = -5*q - w, -w + 36 = 4*q + 107 for q.
-18
Solve v = -3*q + 162 - 159, 0 = -2*q + 4 for v.
-3
Solve 2214*u - 10 = d + 2210*u, 0 = -5*d - 4*u + 22 for d.
2
Solve i - 6 = 3*w - 26, 5*i + 50 = 5*w for w.
5
Solve p + 2*a + 9 = 0, 7*a = 7*p - 5*p - 15 for p.
-3
Solve 2*p + 4*k = -10, -32*k - 15 = 3*p - 33*k for p.
-5
Solve 8*i = 5*k - 21, -143*i + 144*i - 3*k = -5 for i.
-2
Solve -4*s = -9*r - 7, 4*r - 128 = 5*s - 144 for s.
4
Solve 0 = -4*t + 5*q + 19, -1609*q - 8 = -2*t - 1607*q for t.
1
Solve -2974*r = -2970*r + 4*d + 16, 2*r + 20 = -5*d for r.
0
Solve -10 = -3*m + o, -3*o = 3599*m - 3600*m + 14 for m.
2
Solve -5*w = -y - 11, 0 = 2*w - 418*y + 416*y + 2 for w.
3
Solve 17 = -3*f + 4*q, 39*f - 37*f = -10*q + 14 for f.
-3
Solve 0 = 4623*d - 4619*d + 5*z - 22, -56 = -5*d + 8*z for d.
8
Solve 3*b - 8 = -w, 13*b + 2*w + 1727 = 1750 for b.
1
Solve 3*w + 5 = x, 5*w - 15 = -8*w - 3*x for w.
0
Solve -40*n + 7*q - 34 = -43*n, -n - 3*q = -12 for n.
9
Solve -5 = -y + 8*i - 7*i, 0 = 2*y + i - 4 for y.
3
Solve 0 = 11529*b - 11527*b - 4*p - 50, -p = 2*b - 25 for b.
15
Solve -x - 47 = -4*r - 60, -6 = -2*x + 3*r for x.
-3
Solve 5*m = 5*t + 70, -1715*t + 2*m = -1718*t - 17 for t.
-9
Solve 5*d = -30, 47*x - 90*x - 4*d + 6 = -49*x for x.
-5
Solve 0 = 4*n - 186*d + 181*d - 2, d + 13 = 5*n for n.
3
Solve -5*g + u + 14 = 0, -4*g - 12*u + 22 = -11*u for g.
4
Solve 23 = -144*i + 73*i + 70*i - 3*a, -3*a - 15 = 0 for i.
-8
Solve -2*d = 2*z - 2, -5*d + 5*z = 41 - 16 for d.
-2
Solve 15 = 5*b - 2*b, -v = 130*b - 127*b - 11 for v.
-4
Solve 0 = -s - 3, d = 3*s + 5 + 5 + 2 for d.
3
Solve 8 = -4*b, t + 6 = 37*b - 35*b for t.
-10
Solve -18*z + 29 = -3*i - 14*z, -i = -z + 9 for i.
-7
Solve 3*c = 3*h - 15, -102*c = -104*c - 4*h - 34 for c.
-9
Solve -7*z = -28, 3411*z + 17 = -3*n + 3416*z for n.
1
Solve 7 = l - 3*x - 20, 45 = 5*l + 3*x for l.
12
Solve -43*p + 47*p = -2*f, 4*f = 2*f - 6*p for f.
0
Solve -2*g - 6*z + 31 = -4*g - 3*z, 12*g - 6*z + 78 = 0 for g.
-2
Solve 4*l + 12 = 3*z, 25 = 3*z - 7*l - 5 for z.
-4
Solve 4*c - 5*f - 17 = 0, f + 13 - 6 = 2*c for c.
3
Solve 3697 - 3694 = 3*q - 2*m, -3*q + 24 = 5*m for q.
3
Solve d - 17 = -3*z, 10*z = -3*d + 21*z - 29 for d.
5
Solve 78*n - 74*n + 22 = -2*p, 7*p + 17 = -2*n for p.
-1
Solve -14 = -l - 204*z + 203*z, -419 + 170 = -26*l - 3*z for l.
9
Solve 4*r - 12 = 4*u, -5*r - 5*u - 25 + 60 = 0 for r.
5
Solve 3915*n = 3910*n + h + 11, -4*h = -n + 6 for n.
2
Solve 0 = 2*k + 3*r - 84, 24*k - 121 = 27*k - 5*r for k.
3
Solve -5 = d + a, -d = -8*a + 13*a + 25 for d.
0
Solve -3*o = -5*q + 7, 37*q + 17 = 40*q - 5*o for q.
-1
Solve 4*d - 3*h + 7 = 0, 0 = 4*d - 275*h + 270*h + 17 for d.
2
Solve 0 = 3*n + 2*l - 46 + 23, 3*n + 7*l + 2 = 0 for n.
11
Solve 160*k - 2*x - 24 = 164*k, 0 = -k + x for k.
-4
Solve -5*w + 141*f - 139*f - 28 = 0, 0 = -2*f - 2 for w.
-6
Solve 4*b = 3 - 19, 5*b + 40 = -1437*h + 1432*h for h.
-4
Solve 0 = s - v - 2, 1028*v - 1025*v = -17*s + 14 for s.
1
Solve 0 = f + 2*k + 5, 16*k = -23 - 57 for f.
5
Solve 3*s + 13*j = 9*j + 13, -3*j = 5*s - 7 for s.
-1
Solve f + 5*n = 12, -f + n + 16 = 10 for f.
7
Solve -4*u = -2*l + 4, 1608*l - 24 = 3*u + 1610*l for u.
-4
Solve 2*n + 8 = 4*x, 89*n - x = 93*n - 11 for n.
2
Solve 5*w + 7*g - 26 = 0, 132*w = 131*w - 5*g - 2 for w.
8
Solve y - 19 = 3*h, -939*h + 944*h + 11*y - 19 = 0 for h.
-5
Solve 5*k = -3*m + 2, 3*k = 4*m + 72 - 94 for m.
4
Solve -2*n - 3 = -614*y + 617*y, 2*n + y = -0*y - 1 for n.
0
Solve 2*s + 8 = -4*d, -40*d = -42*d - 2*s for d.
-4
Solve -2*v + 25 = 3*j, -j - 446 = -3*v - 436 for v.
5
Solve -o = -2*y + 5, 2*y - 4 - 5 = -3*o for o.
1
Solve -h - 304*j + 307*j - 16 = 0, -2*j = -5*h + 11 for h.
5
Solve -4*a - 19 = 3*v, 216*a - 213*a + 11 = v for v.
-1
Solve -4*l = 5*t + 21, 2*t = -4*l + 45 - 75 for l.
-9
Solve -2*w + 14*c - 11*c = 6*c - 12, 0 = 6*c - 7 - 17 for w.
0
Solve 3525*a = -4*c + 3526*a + 14, 4*a = -3*c + 20 for c.
4
Solve 0 = x - 3*j, -7683*x + 2*j + 17 = -7688*x for x.
-3
Solve 0 = 4*m - w - 10, -4*m + 1481*w + 18 = 1476*w for m.
2
Solve -5*t - 251 + 258 = -f, 0 = -4*t + 5*f - 7 for t.
2
Solve -5*l = 8*r - 37, 26*r - 22*r - 17 = -l for r.
4
Solve 2*z + 4*h = 4, -4*h - 5*h + 36 = 0 for z.
-6
Solve -h + 19 = -2*f, 0 = -333*h + 334*h - 4*f - 43 for h.
-5
Solve 120*r = 115*r + 20, 5*r - 16 = 4*n for n.
1
Solve 53*k + 5*m - 9 = 56*k, -5*k - 25 = -5*m for k.
-8
Solve k = -l + 6, -3*l + 13 = -242*k + 240*k for l.
5
Solve -1107 + 1129 = -y - 5*s, 2*y = 4*s + 12 for y.
-2
Solve -1943*n + 1946*n = -4*j + 36, -2*j + 3*n = 0 for j.
6
Solve 0 = -p + i - 2050 + 2053, -2*p = -5*i - 18 for p.
-1
Solve 3*d - 2*h = 5, -4*d - 11 = 5*h + 59 for d.
-5
Solve 5*t + 5*g - 14 = -2*t, -3*t + 2*g = -6 for t.
2
Solve p + 2*q = -19, 45*p - 40*p = 3*q + 48 for p.
3
Solve -70 = 126*y - 121*y - 5*n, -2*n = 4*y - 4 for y.
-4
Solve 8*n + 4 = -2*l - 10, 5*l + 2*n = 19 for l.
5
Solve -2*d = -r - 21, -733 = -d - 2*r - 735 for d.
8
Solve -2*z = -f - 7, -102*f - z + 26 = -98*f for f.
5
Solve 2*h - 58 = 2*i - 62, 6*i - 34 = -5*h for i.
4
Solve -5*r = k + 15, -54*r = -52*r - 2*k + 6 for r.
-3
Solve 0 = -46*x + 20*o - 16*o + 116, 2*o = -4*x - 4 for x.
2
Solve 5*x = 5*v - 45, -15 = 3*v - 42 for x.
0
Solve -1781 + 1763 = 2*i + j + j, -33 = 5*i + 2*j for i.
-5
Solve -5*v - 15 = -j, 3*j - 9 = -15*v + 12*v for j.
5
Solve 61866*h = 61870*h - 5*z - 3, -4*z + 14 = 5*h for h.
2
Solve -4*u + 3*d = 19, 8308*d = 8306*d + 10 for u.
-1
Solve -3*n = -55*t + 54*t, -19 = -4*n - 5*t for n.
1
Solve 0 = -10*a + 5*g + 5 - 15, -67*a - 2*g = -66*a + 11 for a.
-3
Solve -6388*j + 2*t = -6387*j - 4, -4*j + t = -16 for j.
4
Solve 2*j = 10, 50*p - 52*p - 17 = -3*j for p.
-1
Solve h - 68 + 73 = -2*d, 0 = -5*h - 15 for d.
-1
Solve 5*l + 102 - 92 = -5*j, -37 = 5*j - 4*l for j.
-5
Solve 0 = 5*v - 3*h - 8, 2*v - 3*h - 25 + 11 = 0 for v.
-2
Solve 3*c + 146*u = 150*u + 7, 3*c - u - 4 = 0 for c.
1
Solve -18504*i - 5*a | {
"pile_set_name": "DM Mathematics"
} |
0. Solve -4*p = -0*p - a for p.
3
Suppose -m - 7 = 2*b - 7*b, 3 = m. Solve -p + b*p = 5 for p.
5
Suppose 3*m + 83 = 5*r, -5*m = -2*r + 17 + 20. Suppose 3*f + 4*p = -18 + 2, -3*f + r = -4*p. Let j be 5 + -3 + f - 2. Solve d = -j*d for d.
0
Let h = -26 + 26. Solve 2*z + 0*z + 2 = h for z.
-1
Suppose 5*t = 5*k + 1 + 4, 0 = 5*t + 4*k - 23. Solve -1 = t*s + 2 for s.
-1
Suppose 2*j = 3*l + 27, -j + 1 + 5 = l. Solve -2*z - 1 - j = 0 for z.
-5
Let x = 62 + -22. Let k(j) = -14*j**3 + 3*j**2 - 1. Let q be k(1). Let l be 1*-6*x/q. Solve 0 = -2*b - 2*b - l for b.
-5
Let m(s) = s + 1. Let r(h) = -4*h - 2. Let z(c) = -6*m(c) - 2*r(c). Let w be z(4). Let f(d) = 2*d - 9. Let t be f(w). Solve -p = t*p for p.
0
Let h be 3/12 - (-30)/8. Suppose g + 3 - 2 = -2*t, t + h*g = -18. Solve t*l = 4*l for l.
0
Let g(r) = -r**2 - 4*r + 2. Let z(b) = b. Let a(v) = g(v) + 2*z(v). Let f be a(-2). Let o = 0 + f. Solve 0*u - u = o for u.
-2
Let b(r) = -r**2 - 5*r + 5. Let j(f) = -f**2 - 12*f + 8. Let y be j(-13). Let g be b(y). Solve -21 = g*s - 6 for s.
-3
Let r(s) = -s + 11. Let j be r(8). Suppose 2*y = -3*b + 18, 5*b + j*y - 40 + 11 = 0. Solve -20 = -0*g - b*g for g.
5
Let k be (1 + 2 + -3)/2. Suppose 3*v - 29 + 5 = k. Let c = 17 - 12. Solve c*h + 2 + v = 0 for h.
-2
Let v(g) = g - 2. Let i be v(5). Let d = -18 + 20. Solve 0 = -i*o - 13 - d for o.
-5
Suppose -3*z + 6 + 0 = 0. Suppose -z*g = -6*g. Solve x - 1 = -g for x.
1
Let h = -6 - -12. Solve -h = -4*r - 18 for r.
-3
Suppose -27 = 5*l + u, -2*l + 2*u - 3 = 3. Let j be (3/(-5))/(1/l). Suppose 0 = j*t - 9 - 3. Solve -p - t = 3*p for p.
-1
Let q be (4/(-3) - -1)*-81. Let p = q - 24. Solve 4*n + p = n for n.
-1
Let w be (2/(-6))/((-3)/(-27)). Let u = w - -8. Solve 3*t - u*t - 2 = 0 for t.
-1
Let k(l) = l + 9. Let v be k(-7). Solve v*w + 2 = -0*w for w.
-1
Let q = -7 + 10. Solve 0 = -2*t + q*t - 3 for t.
3
Suppose u = o - 0 - 8, 0 = o - 5*u - 20. Suppose -k + 0*k = -4. Solve -k = v - o*v for v.
1
Let g = -10 - -6. Let v be g/14 + (-18)/(-63). Solve v = 3*s + 4 - 13 for s.
3
Let n = -13 + 13. Solve 3*i - 10 + 1 = n for i.
3
Suppose 3 = 2*q - 3. Suppose 0 = -5*o - 3*s + 21, 0 = -o - 3*s - 0 - q. Solve o = -2*g - 2 for g.
-4
Let d be ((-3)/(-7))/(6/42). Solve -d*f - 5 = -14 for f.
3
Suppose 3*o - 27 = 5*p, -3*o + 24 = -5*p + p. Solve -8 = o*r + 8 for r.
-4
Suppose 8 + 12 = 3*w - 5*h, 0 = 5*w + 4*h - 58. Solve c = 3*c - w for c.
5
Let l = -7 + 7. Suppose -3*y + 39 = 5*q, 2*y + 4*q + q - 31 = l. Solve -4*m + 4 + y = 0 for m.
3
Let t(p) = -p**3 + 8*p**2 - 8*p + 10. Let c be t(7). Let b be (-10)/(-35) - (-36)/21. Solve -b*z = -c - 1 for z.
2
Let c be 9 + 3 + (-3)/1. Let j(a) = 5 + 6 - c - 6*a + 7*a**2 - a**3. Let n be j(6). Solve 12 = -d - n*d for d.
-4
Let c be (-3)/((9/(-20))/3). Suppose -4*b + 2*i + c + 76 = 0, -122 = -5*b + 3*i. Suppose 6*s + 1 = 13. Solve 0 = -4*f + b - s for f.
5
Let o(m) = m**3 + 8*m**2 - m - 6. Let i be o(-8). Solve i*u - 4 = 6*u for u.
-1
Let i(k) = -k + 2. Let p be i(-3). Suppose 4 + 6 = p*v. Let f(c) = c**3 - c**2 - 1. Let w be f(v). Solve w - 4 = y for y.
-1
Let z(u) = -u + 29. Let n be z(13). Solve -9 = 5*o + n for o.
-5
Suppose 34*d - 31*d - 24 = 0. Solve -c + d = c for c.
4
Suppose 0 = -2*j - 2*j + 3*z + 105, z = -3*j + 95. Solve -j + 5 = -5*i for i.
5
Let d = -5 - -10. Suppose -d*s - 5*n = -0*n, 2*s = 5*n. Solve 0*w - 4*w = s for w.
0
Let s be 1/2*4 + -4. Let f(k) = 2*k - 3. Let p(u) = -u + 2. Let b(h) = -4*f(h) - 7*p(h). Let r be b(s). Solve r = -v - 1 for v.
-1
Let a(n) = n**3 + n**2. Let d be a(1). Solve 5*m + d = 12 for m.
2
Suppose 0 = 3*v + v - 8. Let u(y) = y**3 + y**2 - y - 1. Let t be u(-2). Let j be v/(6/(-27)*t). Solve -2*p - j*p = 0 for p.
0
Suppose 0 = -3*v - 0*v - 39. Let o = 21 + v. Suppose -m = 3*h - 5, -h = 3*m + 1 + o. Solve -c - h = -1 for c.
-2
Let j be (-40)/60*9/(-2). Solve 3*h - j = -0*h for h.
1
Suppose -2*o + 4 = -3*o, -35 = -5*n + 5*o. Solve 5*b + n = -7 for b.
-2
Let r = -4 + 4. Solve r = -0*t + t for t.
0
Let x(p) = p**2 - 11*p + 9. Let m be x(11). Let v be (-5 + 3)/2 + m. Solve 0 = -0*d - 2*d + v for d.
4
Suppose 5*a - 4 = -39. Let b = 9 + a. Let m = -8 - -11. Solve -b*t = -m*t + 1 for t.
1
Let d be (-51)/(-9) - (-6)/(-9). Solve 0*p + p = -d for p.
-5
Suppose -4*s = -2 - 14. Let x be (s - 1)*(-8)/(-3). Solve -4*u = -0*u - x for u.
2
Let l = -4 - -9. Suppose 2*w - 5*g - 29 = 8, -l = g. Suppose 12 = -4*r + 2*j - 7*j, -3*r + 5*j = -26. Solve d + w = -r*d for d.
-2
Let v = -27 + 28. Solve -4 - v = -y for y.
5
Let r(q) = -5*q - 15. Suppose g - 3*h = 2*h - 6, -2*g - 2*h = 12. Let z be r(g). Solve -z = -3*s - 2*s for s.
3
Let y be (-10)/(-2) - (0 - 0). Suppose -5*r = 3*q + 2*q - 20, 4 = y*r + q. Solve 0 = -z - r*z + 4 for z.
4
Suppose -5*y + 0 = -10. Let q = 0 + y. Solve -j = q*j - 15 for j.
5
Suppose 4*a + a = 0. Suppose z + a*z + 1 = 0. Let y(q) = -3*q. Let w be y(z). Solve -13 + w = 5*b for b.
-2
Let d be -3 + 6*(-1)/(-2). Solve -3*a - 6 = -d*a for a.
-2
Suppose 0 = x - 5*o + 9 + 7, -4*o + 12 = -x. Solve -j + x*j = 9 for j.
3
Suppose -4*l - 3*w = l - 20, -3*l + 12 = -w. Solve 0 = 2*q + 10 - l for q.
-3
Suppose -5*d + 10 = -4*g, 0 = -4*g + 2*g. Solve -p = -3*p - d for p.
-1
Suppose 3*k - 23 + 11 = 0. Solve -k*t - 17 = -1 for t.
-4
Let v(x) = 9*x**3 - x**2 - 2*x + 2. Let u be v(1). Solve 4*g = -u + 20 for g.
3
Suppose 0 = -4*g - 0*r + 2*r + 4, 5*r = 5*g - 10. Solve 2*c + 6 = -g*c for c.
-3
Suppose 15 = t + 4*t. Suppose 0 = -6*n + t*n. Suppose -3*c + 3*r = 9, -2*r - 1 = 3*c - 3*r. Solve c = -n*f + f for f.
1
Suppose 0 = 8*u - 4*u. Solve -o = -4 - u for o.
4
Suppose l - 59 = -5*x, x - l = -0 + 13. Suppose -6*b + 2*b = -x. Solve b*h = -3 - 9 for h.
-4
Suppose 4*o + 3*i + 11 = 47, -5*i + 9 = o. Suppose 2*g = -3*l + 18, -l - 5*g = 3*l - 31. Solve o*m = l*m for m.
0
Let q be -1*(2/2 - 7). Solve 2*a = -a - q for a.
-2
Let i be (6/(-10))/((-1)/5). Suppose 3*r + 80 = 7*r. Suppose 7*y - 2*y = -r, o + i = -y. Solve -3*w + 8 + o = 0 for w.
3
Let d = -7 - -14. Suppose 5 + d = 4*h. Let w = 2 - 2. Solve h*n - 7*n = w for n.
0
Suppose -2*w = -7*w - 25. Let h = 8 + w. Solve 0 = -h*z + 5*z - 10 for z.
5
Suppose 0 = 5*g - 9*g + 24. Solve -2*d + g*d = -4 for d.
-1
Let f(s) = 1 - 2 - 4*s + 2*s + s. Let q be f(-9). Solve 0 = u + 3*u + q for u.
-2
Let c = 20 - 16. Solve 0 = c*t - t for t.
0
Let m = -2 - -5. Let i(a) = -a**3 - 5*a**2 + 1. Let y be i(-5). Solve r = m + y for r.
4
Let z(m) = -m**3 + m**2 + 3*m + 1. Let c be z(-1). Solve c = -3*w - 9 for w.
-3
Let z be (18/4)/9*0. Solve z = 5*b - b - 12 for b.
3
Let k(z) = 8*z**3 + z**2 + z - 1. Let x be k(1). Solve -6*q = -3*q - x for q.
3
Let j be ((-4)/(-3))/(4/18). Let s = -9 - -7. Let o be (9 + -6)/(s/(-2)). Solve o*b = b + j for b.
3
Suppose 38 = 3*z - 7. Solve -4*h - 3 + z = 0 for h.
3
Let r(j) = -j - 2. Let n be r(-2). Let g(o) = -o**2 + o + 2. Let x be g(n). Suppose k - 2*k + x*v + 1 = 0, 3*k - 6 = 3*v. Solve -k*m = -8*m + 15 for m.
3
Suppose -7 = 3*v - 16. Solve n = v*n + 4 for n.
-2
Let o be 3 + -1 + 4/(-2). Suppose -v = 5*w - 25, 0 = 2*w + 2*w + v - 19. Let z = w - 4. Solve 2*i = -o - z for i.
-1
Let q = -41 - -43. Solve -n - 4 + q = 0 for n.
-2
Let f(z) = 2*z + 26. Let o be f(-11). Solve -o*s = s + 10 for s.
-2
Suppose -8 = -7*r + 13. Solve r*g - 9 = 6 for g.
5
Let y(a) = 0*a + a - 7*a - a**2 + 9. Let h be y(-7). Suppose h*t - 11 = 1. Solve -t + 2 = k for k.
-4
Let t(y) = -y**2 - 8*y - 7. Let x be t(-6). Solve -5*u - 10 - x = 0 for u.
-3
Let i = 26 - 18. Solve 3*d - 7*d = i for d.
-2
Let g be 2/12 + (-203)/(-42). Let c(d) = d**2 - 3*d + 1. Let l be c(4). Solve -g*h + 0*h - l = 0 for h.
-1
Suppose 4*q + t - 9 = 2*t, 0 = -3*q + 4*t - 3. Let k be (2 + (0 - q))*-3. Solve 1 = 2*p + k for p.
-1
Let n(s) = s**3 - 10*s**2 - 11*s + 2. Let j be n(11). Suppose j*w = 6*w. Solve w = -o - 2 + 1 for o.
-1
Suppose -2*b + b = -2*z + 3, -z = -3*b + 11. Suppose -z*h + 2 = -x, h - 1 = 2*x - 4. Suppose -f + x*f = 0. Solve k + 3 + 1 = f for k.
-4
Let i(o) = o**3 + 3*o**2 - 5*o. Let f be 0 + (1 - -1) - -2. Suppose 2*n + f = n. Let m be i(n). Solve q + m*q + 20 = 0 for q.
-4
Let i = -20 + 54. Suppose -w - 2 = -4*b, 3*w + 3*b - i = 20. Let d = w - 5. Solve 0 = 2*f - 1 - d for f.
5
Suppose -u - 8 = -4*z, z = 4*z + 4*u - 6. Suppose 3*d + 5*y - 23 = 0, -4*d = 5*y | {
"pile_set_name": "DM Mathematics"
} |
f -49/90 and 31/90.
90
Find the common denominator of -13/191 and 16.
191
What is the least common multiple of 2532 and 2954?
17724
Calculate the least common multiple of 22 and 12.
132
Calculate the lowest common multiple of 8 and 60.
120
Calculate the lowest common multiple of 230 and 230.
230
Calculate the least common multiple of 726 and 968.
2904
Calculate the common denominator of -59/16 and -45/14.
112
Find the common denominator of 68/693 and -58/207.
15939
What is the smallest common multiple of 104 and 44?
1144
What is the common denominator of -11/299 and -141/2990?
2990
What is the least common multiple of 430 and 430?
430
Calculate the least common multiple of 312 and 52.
312
Find the common denominator of 149/2160 and -157/42.
15120
Find the common denominator of 49/120 and -63/68.
2040
Find the common denominator of 29/24 and 67/72.
72
What is the common denominator of 42/781 and -29/3621?
39831
Calculate the common denominator of -61/132 and -56/1815.
7260
Calculate the least common multiple of 112 and 8.
112
What is the lowest common multiple of 796 and 12?
2388
What is the common denominator of 91/88 and 121/456?
5016
What is the least common multiple of 286 and 2561?
56342
Calculate the lowest common multiple of 303 and 18.
1818
What is the least common multiple of 580 and 70?
4060
What is the lowest common multiple of 16 and 215?
3440
Calculate the least common multiple of 640 and 512.
2560
What is the common denominator of 77/24 and 35/12?
24
Calculate the common denominator of 29/112 and -99/16.
112
What is the common denominator of -43/372 and 49/44?
4092
Find the common denominator of -18/13579 and -53/148.
54316
Find the common denominator of -49/808 and -55/8.
808
Find the common denominator of 22/31 and -32/219.
6789
What is the common denominator of 143/108 and -137/558?
3348
What is the common denominator of -21/64 and 107/14?
448
Calculate the smallest common multiple of 340 and 40.
680
Find the common denominator of -97/80 and -46/11.
880
Find the common denominator of 13/548 and 17/4.
548
Find the common denominator of 121/60 and 49/5850.
11700
What is the smallest common multiple of 58 and 261?
522
Find the common denominator of 59/96 and -127/18.
288
Calculate the least common multiple of 413 and 63.
3717
Calculate the lowest common multiple of 7 and 1008.
1008
Find the common denominator of 83/22 and -151/204.
2244
What is the least common multiple of 192 and 116?
5568
Calculate the common denominator of -43/27 and -65/86.
2322
Calculate the least common multiple of 1738 and 20.
17380
Calculate the lowest common multiple of 1896 and 5.
9480
What is the lowest common multiple of 959 and 6?
5754
Calculate the smallest common multiple of 100 and 2510.
25100
Calculate the common denominator of 65/126 and 67/112.
1008
What is the common denominator of -79/14 and -73/1680?
1680
What is the common denominator of 29/48 and -109/240?
240
What is the lowest common multiple of 150 and 3?
150
What is the common denominator of -19/2000 and 117/4000?
4000
What is the least common multiple of 828 and 598?
10764
Calculate the least common multiple of 1044 and 1116.
32364
Calculate the lowest common multiple of 601 and 36.
21636
Find the common denominator of 49/12 and -59/477.
1908
Calculate the smallest common multiple of 3 and 18.
18
What is the lowest common multiple of 6 and 3?
6
Find the common denominator of -37/1664 and -47/572.
18304
Calculate the lowest common multiple of 57 and 209.
627
What is the common denominator of 75/686 and 62/21?
2058
What is the common denominator of -32/3315 and -57/25?
16575
What is the least common multiple of 1240 and 10?
1240
What is the common denominator of -15/64 and 43/8?
64
What is the lowest common multiple of 70 and 60?
420
Calculate the common denominator of 93/10 and -19/10.
10
What is the common denominator of 53/72 and -151/72?
72
Calculate the smallest common multiple of 159 and 530.
1590
Calculate the common denominator of 47/98 and -41/6.
294
What is the lowest common multiple of 54 and 606?
5454
What is the common denominator of -65/192 and 11/12?
192
Calculate the smallest common multiple of 9 and 21.
63
What is the common denominator of 87/74 and -47/6?
222
What is the least common multiple of 238 and 42?
714
What is the smallest common multiple of 1866 and 12?
3732
Find the common denominator of -16/8199 and 31/3.
8199
What is the least common multiple of 12 and 42?
84
What is the smallest common multiple of 987 and 517?
10857
Find the common denominator of -71/10 and -91/216.
1080
Calculate the common denominator of 83/6 and -87/14.
42
What is the smallest common multiple of 1 and 278?
278
Calculate the common denominator of 4/63 and 4/7.
63
Calculate the common denominator of 89/18 and -31/308.
2772
Find the common denominator of -17/8 and -45/14.
56
What is the least common multiple of 112 and 56?
112
What is the common denominator of 37/448 and 149/252?
4032
Find the common denominator of 61/27 and 10/399.
3591
Calculate the least common multiple of 2 and 25.
50
What is the common denominator of -29/10 and -44/28451?
284510
Find the common denominator of 67/154 and 27/242.
1694
What is the common denominator of -95/2 and -93/4?
4
Find the common denominator of 125/126 and 151/162.
1134
What is the smallest common multiple of 5 and 6320?
6320
Calculate the smallest common multiple of 447 and 4.
1788
What is the common denominator of -37/24 and 15/104?
312
What is the lowest common multiple of 20 and 16?
80
What is the lowest common multiple of 48 and 16?
48
Calculate the least common multiple of 45 and 75.
225
What is the smallest common multiple of 24 and 1160?
3480
Calculate the least common multiple of 4 and 20.
20
What is the common denominator of 157/30 and -47/240?
240
Calculate the lowest common multiple of 2184 and 24.
2184
Calculate the least common multiple of 495 and 1100.
9900
Calculate the common denominator of -68/63 and -19/7.
63
Calculate the smallest common multiple of 36 and 80.
720
What is the common denominator of -95/4 and 61/3018?
6036
Find the common denominator of -95/8 and -59/915.
7320
What is the smallest common multiple of 2270 and 100?
22700
What is the smallest common multiple of 160 and 50?
800
Find the common denominator of -53/36 and 113/1092.
3276
Calculate the smallest common multiple of 35 and 18.
630
Calculate the lowest common multiple of 2061 and 225.
51525
Find the common denominator of -57/20 and -79/20.
20
What is the smallest common multiple of 34 and 34?
34
Find the common denominator of -1/28 and -25/42.
84
Calculate the lowest common multiple of 1265 and 10.
2530
Find the common denominator of 79/20 and -41/12.
60
What is the common denominator of 89/488 and -117/40?
2440
Find the common denominator of -93/52 and 7/100.
1300
What is the lowest common multiple of 16 and 572?
2288
Find the common denominator of 5/8 and 83/75.
600
What is the common denominator of 4/15 and -101/348?
1740
Calculate the common denominator of 43/1142 and 25/8.
4568
What is the smallest common multiple of 531 and 135?
7965
What is the common denominator of -59/58 and -145/12?
348
Calculate the smallest common multiple of 40 and 824.
4120
Calculate the common denominator of -7/255 and -1/7.
1785
What is the common denominator of -69/4 and 15/689?
2756
What is the least common multiple of 70 and 98?
490
What is the common denominator of -137/240 and 187/360?
720
Calculate the least common multiple of 124 and 16.
496
Find the common denominator of -44/21 and -64/35.
105
Find the common denominator of 23/682 and -39/496.
5456
Calculate the common denominator of -9/22 and 1/30.
330
Calculate the common denominator of 53/2088 and -137/24.
2088
What is the common denominator of -61/304 and -15/152?
304
Calculate the common denominator of 61/644 and -93/4.
644
What is the least common multiple of 50 and 35?
350
What is the common denominator of 41/10 and 1/459?
4590
Calculate the common denominator of -59/112 and 19/14.
112
Calculate the smallest common multiple of 3656 and 4.
3656
Find the common denominator of -26/175 and 7/250.
1750
Find the common denominator of 11/27 and -98/165.
1485
Find the common denominator of 70/27 and -113/120.
1080
| {
"pile_set_name": "DM Mathematics"
} |
et t = -1613/7 - -230. Let k = 14 + -13.6. What is the closest to 0.1 in k, 1/4, t?
1/4
Let t = -0.021 - -0.121. Let r = 0.2 - 0.3. Which is the nearest to -2? (a) r (b) 0.2 (c) t
a
Let x be (0/(-4))/(-6 + (-4 - -8)). Which is the closest to 0.2? (a) -3 (b) -0.09 (c) x
c
Let q(k) = 6*k + 1. Suppose 0*y + 2 = -2*y. Let g be q(y). Let m = 33 - 31. Which is the closest to -2/3? (a) g (b) m (c) -0.3
c
Let l = -77 - -77. Suppose -3*s = 6 - 0. What is the nearest to 1 in 1/2, l, s?
1/2
Suppose 3*x + 4*o - 6 = 6*x, 2*o - 10 = -2*x. Let t be (1 + x)*8/(-132). What is the closest to -0.1 in -1, -4/3, t?
t
Let n = 1259/13 + -97. Let k = 3 + -2. Let y = 0.08 - -0.22. Which is the nearest to k? (a) -1/7 (b) y (c) n
b
Let j = -1/1392 - -8429/107184. Let w = j - -8/77. What is the closest to -1/2 in 0.5, w, -2?
w
Suppose 4*z - 2 - 10 = 0. Which is the nearest to -2/3? (a) z (b) -0.4 (c) 0.3
b
Suppose -3 = 5*o - 2*o. Let r = -19.1 - -19. Which is the closest to r? (a) -0.4 (b) -1/3 (c) o
b
Let r(i) = -i + 15. Let u(s) = 1. Let j(p) = -r(p) + 5*u(p). Let v be j(6). Let z = -0.02 + -1.98. Which is the closest to 1? (a) -0.5 (b) v (c) z
a
Suppose 11 = -4*l - 41. Let c = l + 8. Let b be (-24)/14 - (-4 + 2). What is the nearest to b in 0.3, c, -3/5?
0.3
Let y = -0.601 - -0.101. Let s = 0.04 - 0.34. Let n = -339/11 + 31. Which is the closest to -2? (a) y (b) n (c) s
a
Let w = 186907011/475372807 + -4/600977. Let i = w - -4/113. Let m = -1 + 1.1. Which is the closest to m? (a) i (b) 0.2 (c) -0.2
b
Let l = 0.1 + -0.2. Let d = -0.98 - 0.02. Let g = -917/5 - -184. Which is the nearest to d? (a) l (b) g (c) 2/17
a
Suppose -4 - 6 = -2*u. Suppose -1 + 49 = 4*m. Suppose 2*q = -4*p + 12, 0*p + 3*p = m. What is the nearest to q in -1/4, u, -2/7?
-2/7
Let z be -6*(-3 + 5)/(-4). Let x be (z - 1) + (-16)/7. Which is the nearest to 1? (a) x (b) -1/5 (c) 0.3
c
Let n = -0.067 + -0.933. Which is the closest to -2/3? (a) 0.02 (b) n (c) -2/3
c
Let b be (1 + -4)*1/5. Let c = 26 + -26. What is the closest to c in 2, b, 0.2?
0.2
Let w = 29.2 + -29. Which is the nearest to -0.3? (a) 0 (b) 0.3 (c) w
a
Let w be 2/(-1) - (2/7 - 2). What is the closest to 0.1 in -1/4, 0.2, w?
0.2
Let p = 0.252 + 0.048. What is the nearest to p in 5, -0.5, -3?
-0.5
Let b = -0.4 - -0.4. What is the closest to -0.1 in 1, b, 3?
b
Let u = 0 + -4. Which is the nearest to 0? (a) -3 (b) 3/4 (c) u
b
Let n = 105 + -100. Which is the nearest to 1/2? (a) n (b) 0.3 (c) -2
b
Let f = -0.9 - 0.1. Let d = -1.5 - f. Let g be (-36)/(-27) - (-1)/(-3). Which is the closest to g? (a) d (b) 0.1 (c) -3/5
b
Let m = 123.3 + -116. Let q = m - 7. Which is the closest to 0.1? (a) 2 (b) q (c) 0.5
b
Let r = 10 - 13. Let w = 0.12 - -2.88. Which is the nearest to -0.2? (a) r (b) w (c) 4/7
c
Let w = 1.3 + -0.3. What is the nearest to 0.1 in 6, w, 3/2?
w
Let j = -167/5 - -33. Let o be 2 + -2 + (-2)/(-3). Let g be ((8/(-7))/(-2))/((-420)/(-294)). Which is the closest to j? (a) g (b) -5 (c) o
a
Let o = 695/8 + -87. Let r = -88 + 89. Which is the closest to r? (a) 2 (b) o (c) -0.4
a
Let i = -1.4 + 3.4. Let w = i - -1. Which is the nearest to 0? (a) -4 (b) -0.5 (c) w
b
Let u = 20.8 - 21.87. Let t = -0.07 - u. Which is the closest to t? (a) -4 (b) -3 (c) -5
b
Let g = 0.2 + -0.3. Let m be ((-4)/24 - 0)/(1/(-2)). What is the closest to -1 in -1, m, g?
-1
Let w = 15.8 - 15.9. Let s = -1 + 2. Which is the nearest to w? (a) 3 (b) s (c) 5
b
Let g = 2 - 2. Let n be (1 - -2) + (140/(-12))/5. What is the closest to g in 5, -3/4, n?
n
Let c = -1.04 - -0.04. What is the closest to c in 0.03, 2/11, -1/6?
-1/6
Let n = -3.5 - -3. Let j(h) = -h**3 + h**2 + 2*h. Let p be j(2). Let w = -16 - -11. Which is the nearest to 1? (a) n (b) p (c) w
b
Let w = 85 - 90. Suppose -f - f = 2*x, 0 = 5*x - f + 18. Which is the closest to x? (a) 0.2 (b) w (c) 0.4
b
Let j = 12 + -49/4. Let c = -3/20 + j. Let q be 34/72 + -4*(-7)/(-126). What is the nearest to -1/3 in q, c, 3?
c
Let f(q) = q + 9. Let z be f(9). Let l be 18/(-8)*12/z. Suppose 5*y = 4*d + 11 - 1, 5 = d - 5*y. Which is the closest to l? (a) d (b) 0.2 (c) -0.3
c
Let j = -0.6 + 0.9. Which is the closest to 0? (a) j (b) 0.4 (c) 2/7
c
Suppose -4*s = -20, 3*j - 2 = -s - 3. Let w = 4 + -4.3. Which is the nearest to 1? (a) w (b) 3 (c) j
a
Let h = 159 - 796/5. What is the closest to 1 in 2, h, -5?
2
Let m = 113 + -793/7. Let v = -20 - -22. Let f = 1 + 0. Which is the closest to v? (a) -1/3 (b) m (c) f
c
Let f = -0.1 + 0.2. Let l = 1.7 + -0.7. Let d = -1.1 + l. What is the nearest to f in d, 0, 4/7?
0
Let z = 81 + -81. What is the closest to z in -1/3, 0.5, -0.04?
-0.04
Let q be (-6)/(-15) - 26/15. Which is the closest to 2/7? (a) 1/2 (b) q (c) 1
a
Let n be ((-2)/3)/(10/15). Which is the closest to 1? (a) n (b) 5 (c) 0
c
Let l be 88/15*(-5275)/(-70). Let w = l + -442. Let r = -8/21 + w. What is the closest to 1 in 0.4, r, -4?
0.4
Let s = -0.9 - -21.9. Let o = -21.1 + s. Which is the nearest to o? (a) -2 (b) 3/5 (c) -5/4
b
Let w = -8 + 7.7. Let s = 0.1 - w. Let p = s - -0.1. Which is the nearest to -1? (a) -1/4 (b) p (c) -5
a
Let m = -111 - -106. What is the closest to 2 in 0.1, m, 5?
0.1
Let l(x) = x**3 - 7*x**2 + 8*x - 8. Let f be l(6). Which is the closest to -0.8? (a) -3 (b) 0 (c) f
b
Suppose -4 + 12 = 4*f. Which is the nearest to -2/3? (a) 10 (b) 5 (c) f
c
Let d = 4.146 - -0.054. Let z = d - 0.2. Which is the closest to 1? (a) z (b) 0.3 (c) -1/3
b
Let h(w) = -w**3 - 2*w**2 - 5*w - 3. Let g be h(-3). Let s be 1/(-10) - g/(-35). Suppose 0 = 3*t - 0 + 3. Which is the closest to s? (a) t (b) 3/4 (c) 3
b
Let s = -1.2 - -0.2. Let k be 7/(-3) + (2 - 0). Which is the closest to s? (a) k (b) 2/9 (c) 0
a
Let q(n) = n**2 + 15*n + 25. Let k be q(-13). What is the closest to 3/4 in -2, k, -1/4?
-1/4
Suppose 3*p + 3*u - 3 = 0, 3*p = p - u + 2. What is the nearest to -2/7 in 4, p, 6?
p
Let n = -2 + 3. Let u = 0.98 + 0.02. Which is the nearest to u? (a) 4 (b) n (c) -3
b
Let h be (-4)/(-10)*40/(-2584). Let r = h + -1286/969. Which is the nearest to r? (a) 1/4 (b) 2/9 (c) -2
c
Let l = 147/2 + -73. Suppose 0 = 2*a - 3*a - 1. What is the nearest to a in 2, -1, l?
-1
Let v = 4.7 + -0.7. Let s be (-4 + 1)/(3 - 6). Suppose 2 + s = o. Which is the nearest to -2? (a) v (b) -1 (c) o
b
Let c(h) = -h**3 + 2*h**2 + 2*h - 3. Let g be c(2). Let z = 0.8 + 0.2. Let b = z - 1.2. What is the closest to g in b, 0, 0.3?
0.3
Let y(u) = u**3 + 3*u**2 - 6*u - 8. Let f be y(-4). Which is the closest to -3/4? (a) -0.2 (b) f (c) -3/5
c
Let v(k) = 2 + 0 + 1 + k. Let l be v(-4). What is the nearest to 2/5 in 0.1, l, 4?
0.1
Let s = 196/801 + -2/89. Let j = 0 + -0.2. Which is the closest to -1/2? (a) j (b) -1/8 (c) s
a
Let g = 0.45 - 0.15. Which is the nearest to 2/9? (a) 0.5 (b) -7 (c) g
c
Let r be (-24)/14 - 4/14. Let h = 9.12 + -9.52. Which is the nearest to -1? (a) h (b) r (c) 0.3
a
Suppose 8 = -w - w. Let y be (-5)/(1*(-3)/3). Let v = -6 + y. Which is the nearest to 1? (a) v (b) w (c) 2/11
c
Let w = -0.4 - -1. Let u = w - 0.9. What is the closest to -2/5 in 0, u, 2/13?
u
Let g = 0 + 7. Which is the nearest to 2/7? (a) 3/7 (b) -4 (c) g
a
Let k = 37 - 37.3. Which is the nearest to -0.1? (a) k (b) 3 (c) -0.1
c
Suppose 0*o - o = -8. Let j be (1 - -1) + o/(-12). Which is the closest to -0.2? (a) 2 (b) j (c) -1/2
c
Suppose -5*n - u = -0*n + 766, 458 = -3*n + u. Let h be ((-12)/n)/(4/6). Which is the nearest to 4? (a) 5 (b) h (c) -1
a
Let h = -0.2 - 0.2. Let v = -0.05 + 5.05. Let t = -7 + v. Which is the nearest to 1/2? (a) 2 (b) h (c) t
b
Let i = -4.0037 + 0.0137. Let w = -4 - i. Let l = 2.01 + w. What is the nearest to -2/7 in -2, l, -0.1?
-0.1
Let j(x) = x**2 - 2*x + 3. Let i be j(2). Let f = 268 - 268.1. Which is the nearest to -0.2? (a) f (b) i (c) 5
a
Let v = -9.2 - -9. Let w = v - 0. What is the closest to 1/4 in w, -1, 1?
w
Let w be 12/(-18)*(-12)/(-32). What is the closest to 0.1 in 9, w, 1?
w
Let z = 5.3 + -6. Let r = 0.5 + z. Let l be ((-1)/(-2))/((-18)/(-8)). What is the closest to 1 in 2/11, l, r?
l
Let y = -19 - -24. What is the nearest to -3/2 in -5, 6, y?
-5
Let g = -125/14 + 52/7. Which is the cl | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 84 is divided by y?
4
Let r be (2 + 5/(-3))/((-21)/(-63)). Calculate the remainder when ((-3)/9)/(r/(-246)) is divided by 12.
10
Suppose 0 = -5*m - 8*m + 143. What is the remainder when 164 is divided by m?
10
Let k = -38 - -17. Let f = k + 40. Calculate the remainder when f is divided by -38*3/(-21) - 24/(-42).
1
Let y(o) = 4*o. Let x be y(1). Suppose j = x + 2. What is the remainder when ((0 - -5) + 2)*(-9)/(-9) is divided by j?
1
Let h(v) = -41*v + 435. Calculate the remainder when h(8) is divided by 22.
19
Suppose -3*w + 554 + 769 = -4*k, 0 = -4*w + 5*k + 1763. Calculate the remainder when w is divided by 86.
7
Let a be (-230)/(-2) + (-4 - -1). Let s be 928/a + (-4)/14. Let j(w) = w**2 + 3*w - 19. Calculate the remainder when j(s) is divided by 18.
15
Suppose 9*g - 6*g = b, 0 = g - b. Let c = 5 + -3. Suppose -5*j + c*o + 33 = g, 2*j - o - 20 = -j. What is the remainder when j is divided by 5?
2
Let s(r) = -r**3 + 7*r**2 - 7*r + 17. Let z = 23 + -15. What is the remainder when s(6) is divided by z?
3
Suppose -q + 8 = 3. Suppose 0 = -q*g + 24 + 46. Suppose g = 3*t - 43. What is the remainder when t is divided by 11?
8
Suppose -y + 18 = -20. Suppose -y = -4*i + 14. What is the remainder when 35 is divided by i?
9
Let n(u) = -u + 1. Let z be n(-3). Suppose 0 = g + z*g - 360. Let p(h) = -h**3 + 9*h**2 - 9*h + 33. Calculate the remainder when g is divided by p(8).
22
Suppose 5*q = d - 16 + 37, 11 = -d + 3*q. Suppose 0 = d*b - b + 9. Calculate the remainder when 21 is divided by 4/(-6)*(b + -6).
3
Suppose 0 = 25*a - 27*a + 260. Suppose 6*f - a = 170. What is the remainder when f is divided by 4?
2
Let w = 5 + -1. Let y(v) = -34*v - 25. What is the remainder when y(-1) is divided by -5 + w + 5 + 0?
1
Let q be -1 + -2 - (20 + -22). Calculate the remainder when 30 is divided by (-32)/((q + -5)/3).
14
Let t(a) = 15*a + 4. Let x be t(-2). Let y = -22 - x. Suppose -y*k = -5*k + 24. What is the remainder when k is divided by 13?
11
Let i be (-2)/(-3) + (-760)/(-12). Let s = -17 + i. Suppose -b + 0*b = -16. What is the remainder when s is divided by b?
15
Suppose 63*k - 68*k = -20. Suppose -2*v + k*h = -304, 0 = -2*v + 2*h + 119 + 185. Calculate the remainder when v is divided by 22.
20
Let p(j) = -6*j - 17. Let y = -14 - -7. Suppose -5*f + 2*a + 362 = 0, 5*f + a - 382 = -2*a. Calculate the remainder when f is divided by p(y).
24
Let f be (-173)/(-3) + 16/(-24). Suppose 2*p = -f - 3. Let d = 50 + p. Calculate the remainder when d is divided by 13.
7
Suppose 104 = 4*p - 2*p. Suppose q - 5*q = -p. Calculate the remainder when (-2 + (-55)/(-3))*3 is divided by q.
10
What is the remainder when (58/3)/(15/90) is divided by 25?
16
Let g(b) = b**3 + 9*b**2 + 7*b - 1. Let k be g(-8). Let q = 22 - k. Calculate the remainder when 40 is divided by q.
10
Let i = -22 + 25. Suppose -4*t = 3*m - 95, m - i*t + 5*t = 31. Suppose -5*w - 29 = -2*p - 120, 4*p - 39 = -3*w. Calculate the remainder when m is divided by w.
16
Let n(m) = -m**3 + 32*m**2 + 5*m - 126. What is the remainder when n(32) is divided by (1 + 1*8)/1?
7
Let a(u) = -4*u + 31. What is the remainder when 53 is divided by a(5)?
9
Let t = 36 + -34. Suppose t*a = 6*a. Suppose 6*o - 9*o + 27 = a. Calculate the remainder when 26 is divided by o.
8
Let q(p) = p**3 - 35*p**2 - 23*p - 151. Calculate the remainder when q(36) is divided by 8.
5
Let z = 3 + 33. What is the remainder when z is divided by 20?
16
Calculate the remainder when 172 is divided by -2 + 14 + -3 + -3.
4
Suppose -1593*d - 12 = -1595*d. Suppose 5*h - 2 - 3 = 2*z, -42 = 3*z + 4*h. What is the remainder when 4/z + 274/10 is divided by d?
3
Let v(y) = 19*y - 723. What is the remainder when v(43) is divided by 35?
24
Let m be (-11 - -9)/((-1)/3). Suppose 0 = -j + m - 3. Suppose -11*h = -h - 90. Calculate the remainder when h is divided by j.
0
Suppose -5*z + 29 = -b, -4*b - 21 = -0*z - z. Suppose 0*y - 42 = -7*y. Calculate the remainder when y is divided by z.
1
Suppose -x + 200 = -4*n, 5*n - 781 = -5*x + 119. What is the remainder when x is divided by 86?
12
Let n(j) = j**2 - 13*j + 16. Let r(m) = m**3 + 4*m - 3. Let q be r(2). Calculate the remainder when 47 is divided by n(q).
15
Let q(w) = w**3 - 6*w**2 + 5*w + 5. Let i be q(5). Suppose -2*f - i*k = -33, -4*f + k = -0*f - 11. What is the remainder when 19 is divided by f?
3
Let u(g) = 10*g + 3. Suppose c - 2*c = -p - 93, 0 = -3*p + 15. What is the remainder when c is divided by u(3)?
32
Suppose 0 = 2*b + 3*b - 25. Suppose 3*v = -3*h + 27, 4*v + 2*h - 11 = 3*h. Calculate the remainder when b is divided by v.
1
Let v(r) = -r**3 - 55*r**2 - 7*r + 31. Calculate the remainder when v(-55) is divided by 19.
17
Let h(c) = c**3 + 13*c**2 - 17*c - 2. Let n be h(-14). Suppose n*u - 45*u = -210. Calculate the remainder when u is divided by 15.
12
Let v(k) = -5*k + 144. Calculate the remainder when v(15) is divided by 37.
32
Suppose -x - 4 = 2*j, 5*j = -5*x + 4*x - 19. Let o(a) = a**2 - 4*a + 6. What is the remainder when 249 is divided by o(x)?
15
Calculate the remainder when 14 is divided by 12/48*-5 + (-13)/(-4).
0
Let q be (-91)/(-2) - (-9)/18. Suppose 2*n + 0 - q = 0. What is the remainder when n is divided by 5?
3
Let f = 140 - 111. Let d be (-6)/(-15) + (-6)/15. Let v = 10 + d. Calculate the remainder when f is divided by v.
9
Let x(f) = -8*f - 7. Let r be x(-3). Let k = r - 16. What is the remainder when 3 - k/(4/(-172)) is divided by 13?
7
Suppose 3*l = -2*u + 56, 4*l - 2*u = -6*u + 72. Suppose 1233 = 4*p + 841. Calculate the remainder when p is divided by l.
18
Suppose -4*b + 2*b = -38. Suppose -2*v - 79 - 59 = 0. Let w = v - -104. Calculate the remainder when w is divided by b.
16
Suppose -2*a + 4 - 6 = 0. Let v(g) = g**3 - 5*g**2 - 6*g - 4. Let m be v(6). What is the remainder when (m/(-8))/(a/(-134)) is divided by 23?
21
Calculate the remainder when -3 - 0 - (19 - 43) is divided by 8.
5
Let i(v) = -v**3 - 6*v**2 - 7*v - 5. Let f be i(-5). Suppose -4*t + 13 = s, 37 = -t + f*s + 14. Let u = t + 7. Calculate the remainder when u is divided by 3.
0
Suppose -i = -6 - 7. What is the remainder when -4 + 36/10 + 672/30 is divided by i?
9
Let c be -1 - (-32)/40*(-65)/2. Let w = 59 + c. Calculate the remainder when w is divided by 18.
14
Let d be (-105)/(-20) - (-3)/4. Let g = -3 + d. What is the remainder when 25 is divided by g?
1
Let g = 1684 - 963. Suppose 13*t - 6*t = g. Calculate the remainder when t is divided by 36.
31
Suppose -2*x = -3*x + 25. Let j be (40/(-6))/((-26)/39). Let n(t) = t**3 - 10*t**2 + t - 3. What is the remainder when x is divided by n(j)?
4
Suppose -2 = -7*p + 19. Suppose -h - 4*s + 7 = -p*s, -2*h = 4*s - 22. Calculate the remainder when h is divided by 2.
1
Let h(r) = -4*r + 8. Let q be 3 + 5 - (-1 - -2). Let j be h(q). Let t = j + 37. What is the remainder when 32 is divided by t?
15
Let k = 70 - 36. What is the remainder when 146 is divided by k?
10
Let f(o) = 11*o - 15. Let g be f(6). Let h = g + -9. What is the remainder when h is divided by 15?
12
Suppose -34*u + 89*u = 100045. Calculate the remainder when u is divided by 140.
139
Suppose -5*v - 2*i = -90 - 59, -i = 2*v - 60. Calculate the remainder when 93 is divided by v.
6
Let m(w) = -w**3 - w**2 + 5*w - 1. Let c = -55 - -62. Calculate the remainder when m(-4) is divided by c.
6
Let d(v) = -2*v**2 - 203*v - 1486. Calculate the remainder when (-2)/4*-2*47 is divided by d(-8).
7
Suppose -11501 = -28*l + 9359. Calculate the remainder when l is divided by 68.
65
Let c(k) be the second derivative of k**3/3 - 3*k**2 - 4*k. Let v be c(6). Suppose v*r - 33 + 9 = 0. What is the remainder when r is divided by 2?
0
What is the remainder when 61 - ((7 - 18) + 4) is divided by 37?
31
Suppose -2*i + 151 = b, 3*b = 4*i + 333 + 80. Calculate the remainder when 426 is divided by b.
140
Let i(y) = -6*y**3 - y**2 + 3*y + 5. Calculate the remainder when i(-4) is divided by 52.
49
Let b = 57 - 59. Let u(w) = -3*w**3 + w**2 + w - 1. What is the remainder when 46 is divided by u(b)?
21
Let g(n) = 3*n**2 - 11*n + 384. Calculate the remainder when g(0) is divided by 132.
120
Suppose -u - 10 = -2*u. Suppose u*r - 316 = 164. What is the remainder when 238 is divided by r?
46
Suppose 39*d = 21*d + 1062. What is the r | {
"pile_set_name": "DM Mathematics"
} |
489*t + 100*t + 52*t - 629*t - 282*t as q*t + x and give q.
-1248
Rearrange -1 + 1083*v + 6 - 3 - 6 + 4 + (v - 1 + 1)*(2 + 1 - 1) + 0*v - 4*v + 3*v + 0*v - v + 3*v + 12*v - 2*v + 5*v to z + k*v and give k.
1101
Rearrange 4*a + 1992*a**3 - 3*a**2 + 6*a**2 - 1990*a**3 - 3*a**4 to the form f*a**3 + p*a**2 + l*a**4 + r*a + m and give f.
2
Rearrange (29571*t + 29649*t - 1 - 59384*t)*(-t - 3 + 1 + 3) to k*t**2 + i*t + z and give i.
-163
Express 2176*k**4 + 2 - 11*k - 32*k + k**3 - 2178*k**4 - 5*k**2 as r*k + b*k**2 + t*k**3 + n*k**4 + a and give a.
2
Rearrange -199*m**2 - 5747*m + 11508*m - 5811*m to u*m**2 + j*m + q and give j.
-50
Express (3*i + 2*i - 4*i)*(-45 + 19 - 11*i + 25)*(-348 - 244*i - 252*i + 498*i) in the form r*i**2 + f + b*i + u*i**3 and give r.
3826
Rearrange 4572 + 4673 - 9445 - 80*q**2 + 52*q**2 to x*q**2 + j + o*q and give x.
-28
Express -1874*s - 12 + 1 - 4*s**4 + 2*s**4 - 2*s**2 + 2*s**3 + 1878*s as n*s**4 + a*s**3 + c + t*s**2 + o*s and give o.
4
Express 226*k + 3*k**4 - 65*k**2 - 2*k**3 - 2*k**4 + 35*k**2 - 2 + 29*k**2 in the form u*k**2 + c*k + j*k**3 + t + g*k**4 and give g.
1
Rearrange 40 + n**2 - 13*n**3 + 129 + 16*n - 164 to the form c*n**3 + w*n + q*n**2 + x and give x.
5
Rearrange -20*b - 77 - 15*b - 87*b + 74*b to the form y + s*b and give y.
-77
Rearrange (-507 - 508 - 93)*(14*n**3 + 30*n**3 - 20*n**3) to w*n**3 + i + k*n + r*n**2 and give w.
-26592
Rearrange 8610 - 8616 - 260*n + 241*n - 22*n**2 to the form y*n + w*n**2 + f and give w.
-22
Express 31*r + 333*r**3 + r**2 - r**4 - 181*r**3 - 4*r**2 - 1 - 163*r**3 in the form m*r**2 + c*r**4 + n + u*r**3 + g*r and give u.
-11
Express -14*n**2 + 949*n + 24 - 10 + 5*n**3 - 1650*n + 703*n as h*n**3 + l + c*n + f*n**2 and give l.
14
Express (-8844*l - 288*l**2 + 8844*l)*(-3*l**2 + 4*l**2 - 5*l**2)*(0 - 3 + 0) as b*l + s*l**4 + f*l**2 + k*l**3 + o and give b.
0
Express (8 + 11 + 2)*(-176 - 472 - 226)*(-b**4 - 1 + 1) in the form o*b**3 + r + g*b**2 + l*b**4 + w*b and give l.
18354
Express 3*k + 26*k + 1976 + 826 - 28*k + 1210 in the form u*k + i and give i.
4012
Rearrange 5*h - 21*h + 2*h + 6*h + 0*h - 181 to the form i*h + j and give j.
-181
Express (-56 + 56 + 87)*(-w + w + w**3) + (-42*w + 42*w + 6*w**2)*(w - 4*w + w) as k*w**2 + x*w + r*w**3 + u and give r.
75
Rearrange -71 + 71 - b + (-10*b + 4*b + 0*b)*(23 - 23 - 15) - b - 2*b + b to k + w*b and give k.
0
Rearrange 215 + 22*k**2 - 102 - 110 + 3 - 2*k**2 - 3 + (k - k - k)*(-3*k + k + 4*k) + 1 - 1 + 14*k**2 to g + h*k + s*k**2 and give s.
32
Rearrange -s**2 + 3 - 7748*s**3 + 0*s**4 + 49*s**4 - 2*s + 7748*s**3 to z*s + x*s**2 + p*s**4 + r*s**3 + h and give z.
-2
Rearrange (-27 - 3 + 11)*(14*g + 138*g + 1 + 54*g) to q*g + f and give f.
-19
Rearrange -1 - v**2 - 121*v**2 + 0 + 5 + 1 to n + k*v**2 + i*v and give i.
0
Rearrange 1 - 1 + 10*i**4 + (3*i**3 + 0*i**3 - 2*i**3)*(21*i + 22*i + 25*i + 1174 - 66*i) to h*i + f*i**2 + r*i**3 + w + d*i**4 and give d.
12
Rearrange 39*w - 89*w + 2 + 81*w + 78*w to the form k*w + s and give s.
2
Rearrange ((-4 - 1 + 3)*(4 - 2 - 11) - 1 + 3 + 0)*(-6089*j + 47*j**2 + 6089*j) to the form g*j**2 + c + b*j and give g.
940
Express (-6 + 8 + 0)*(1197*k - 1810*k - 940*k - 1389*k) as g + j*k and give j.
-5884
Rearrange (31*w**2 + 18*w**2 - 14*w**2)*(51 + 45 - 27) to d*w + c + q*w**2 and give q.
2415
Rearrange (-1 - 7 + 3)*(39*a - 74*a + 13*a)*(-4*a + 5*a - 3*a) + (-3*a + 2*a + 3*a)*(2*a + 3*a - 4*a) to t*a**2 + s*a + q and give t.
-218
Express 0*m**3 + m**3 - 4833975*m**2 + 17 + 4834005*m**2 in the form p*m**3 + h*m**2 + j*m + a and give a.
17
Express -t**4 - 61*t**2 - 2 - 2*t**3 - 60*t**2 - 71*t**2 + 184*t**2 - 36*t as q*t**2 + f*t**3 + v*t + c + s*t**4 and give v.
-36
Rearrange (0*p - 2*p + p)*((6 - 2 - 1)*(1 + 3 + 5) - 53 - 99 - 4) + 2 + 7*p - 2 to v + f*p and give v.
0
Rearrange (1307 - 1307 + 129*t)*(3*t - 6*t - 5*t)*(-1 + 5 - 7) to the form f + b*t + a*t**2 and give a.
3096
Express -202*s**3 - 89*s**3 - 11217*s + 5603*s + 5613*s + s**2 in the form q + g*s**3 + k*s + u*s**2 and give g.
-291
Rearrange 1486 - 3*k**2 + 567 + 1831 + 24 to the form d*k + g + m*k**2 and give m.
-3
Express 6204*j**2 - 1 + 2*j - 9150*j**2 + 5115*j**2 as o*j + v*j**2 + z and give z.
-1
Rearrange 5780 + 5790 - 11570 - 19854*f to j*f + o and give j.
-19854
Rearrange 2*i + 3*i - 3*i - 8*i - 8*i - 15*i + i + 7*i - 4*i - i - 6*i + 5*i + (i + 2*i - 2*i)*(-1 - 3 + 3) + 6 - 6 - 6*i to y + z*i and give z.
-34
Express -1588*m**2 + 5695 - 2*m + 1587*m**2 + 878 as q*m + n*m**2 + h and give n.
-1
Rearrange (114*p**2 - 526*p**2 + 2203*p - 2203*p)*(4*p**2 - 17*p**2 - 12*p**2) to the form m*p**3 + z*p + b*p**4 + x + r*p**2 and give b.
10300
Express -4 + 395*q**2 - 2 + 28*q - 13*q - 16*q + 4 in the form r*q + i + a*q**2 and give r.
-1
Rearrange (1 - 2 + 4)*(2514 - 5104 + 2549)*(0*z - 4*z - z) to s*z + m and give s.
615
Rearrange (2 + 1 - 5)*(-1488*p + 3255*p + 3776*p) to the form u*p + z and give u.
-11086
Express 412*x**2 - 23*x**2 - 3*x + 319*x**2 + 100*x**2 - 111*x**2 in the form p + s*x**2 + d*x and give d.
-3
Express -14*o + 3*o + 102 + 23*o**2 - 124 + 4*o**4 + 10*o in the form v*o**2 + m*o**4 + j*o + s + r*o**3 and give v.
23
Rearrange -3*p**3 + 2*p**3 + 165 - 154 + 8*p - 2*p**3 + 3*p to i*p**3 + v + q*p**2 + z*p and give v.
11
Express -10279*j + 4 + 4*j**2 - 250*j**3 + 10276*j - 3*j**2 in the form f*j**3 + k*j**2 + o + m*j and give m.
-3
Rearrange (-7*b**2 + 4*b**2 - 12*b**2)*(14 - 43 - 13*b + 15*b) to y*b + z*b**3 + r + h*b**2 and give h.
435
Rearrange -4 - 12*g + g**2 + 11*g - 2 - 11*g + (2 + 3*g - 2)*(2*g - g + g) to u*g**2 + i*g + b and give u.
7
Express 24 - 23774*k - 23777*k + 3*k**2 + 47566*k as h*k**2 + c + z*k and give c.
24
Express -3*n**3 + 12*n - 144 + 12 - 43*n + 112 - 84*n in the form j*n**3 + l + u*n + x*n**2 and give u.
-115
Express -98 + 54 + 44 + 1627*q as m + p*q and give p.
1627
Rearrange 110 + 79 - 66*s - 270 + 84 to n*s + h and give n.
-66
Express 3*j**3 - 36 + 147*j + 73 - 29*j**2 - 145*j - 36 in the form r + h*j**3 + x*j**2 + a*j and give r.
1
Express (h - 2 + 2)*(-1192*h + 895 - 895)*(-5*h - 4*h + 0*h) in the form c*h**2 + n*h + u*h**3 + g and give u.
10728
Rearrange 32*h - 54*h - 218*h - 41*h to c + x*h and give x.
-281
Rearrange 29*t - 420*t + 7313*t to the form b*t + u and give b.
6922
Rearrange ((-185 - 25 + 15)*(3*x**2 + 2*x**2 - 3*x**2) - 4*x**2 + x**2 - 6*x**2)*(x**2 + 0*x + 0*x) to the form k*x**3 + s*x**4 + t*x**2 + d*x + l and give s.
-399
Rearrange 2*g**3 - 1 + 5*g**2 + 635*g - 76*g**4 - 4*g**2 - 641*g - 4*g**4 to the form v + b*g**3 + d*g**2 + k*g + q*g**4 and give d.
1
Rearrange 51 + 5*f - 2*f + 101 + 42 to m + z*f and give z.
3
Rearrange (1940 + 3128 - 3295)*(6*a - a - 3*a) + (a - a + 2*a)*(-3 + 0 + 5) - 4*a - 3*a + 2*a to x + f*a and give f.
3545
Express (x**2 - 2*x**2 - 4*x**2)*(5*x**2 + 4*x - 4*x) + 11*x**4 - 819*x**2 - x**3 + 2*x**3 + 817*x**2 in the form l*x**2 + z*x**3 + n*x**4 + u*x + v and give z.
1
Express -91*t**2 - 10 + 33*t**2 + 63*t**2 + (0*t - 4*t + 6*t)*(16 + t - 16) in the form m*t**2 + r*t + g and give g.
-10
Rearrange m**2 + 1021*m + 1016*m + m**3 + 1014*m - 4060*m - 259*m**4 + 1016*m to the form u*m**2 + s*m**4 + c + q*m + i*m**3 and give u.
1
Express g**2 - 3715*g + 1235*g + 4 - 3 + 1238*g + 1243*g as m*g + i*g**2 + y and give i.
1
Rearrange -1386 - 4*n + 6*n - 729 to g*n + r and give r.
-2115
Rearrange ((3 + 3 - 5)*(-1 - 1 + 1) + (-11 - 12 + 7)*(-1 - 2 + 4) - 44 - 29 + 3)*((1 - 1 + 1)*(-3 + 3 - 2*b) - 2 + 2 - b) to the form w + x*b and give x.
261
Express 18461*t - 12343*t - 7751*t - 7719*t as j + u*t and give u.
-9352
Express 1114*p + 25 + 1861*p - 25 in the form a + r*p and give r.
2975
Rearrange -6482*f + 973*f - 24198*f + (-3*f + 3*f + 2*f)*(-5 + 5 - 1)*(-3 - 4 + 5) to k*f + h and give k.
-29703
Express -2 + 2 + 2*n + (4109 - 1640 + 6339)*(1 + 2*n - 1) as h + v*n and give v.
17618
Express (124 + 152 + 245)*(3*n**3 - 3*n**3 - 5*n**3) in the form m*n + a*n**2 + b + y*n**3 and give b.
0
Express -12*x**4 + 49*x**2 - 95*x**2 + 9*x**4 - 3*x + 9*x**4 + 57*x**2 - 2 as l*x**3 + c*x**2 + v*x + z*x**4 + w and give w.
-2
Express -c - 13*c**2 - 47*c**3 - 77*c**2 - 6*c + 92*c**2 as o*c**2 + d*c + b + w*c**3 and give d.
-7
Rearrange (-v**2 + 2103*v**2 + 889*v**2)*(-2 - 8*v + 0* | {
"pile_set_name": "DM Mathematics"
} |
7
c
Which is the nearest to 1? (a) 0 (b) 34/11 (c) -5 (d) -1/7
a
Which is the nearest to 2/25? (a) -37 (b) -1 (c) 6 (d) 13
b
Which is the closest to -5? (a) -1 (b) -4/11 (c) -1/3 (d) 2/7
a
Which is the nearest to 1/4? (a) -4/3 (b) -23 (c) 496
a
What is the closest to 2 in 21, -3/4, 0.255?
0.255
Which is the nearest to -0.1? (a) 11 (b) 4 (c) -3 (d) -0.052 (e) 0.4
d
Which is the nearest to -0.1? (a) -4.9 (b) 19/11 (c) 3 (d) -0.2
d
Which is the closest to 40? (a) -282 (b) 2/3 (c) -3/2
b
Which is the nearest to -3/8? (a) -1.2 (b) 1 (c) -1/783
c
Which is the closest to -1? (a) -4 (b) 0.17 (c) 5
b
Which is the closest to 1? (a) -3/4 (b) -0.23 (c) 4 (d) 1 (e) -0.26
d
What is the closest to 1 in -78/5, 2, 61?
2
Which is the closest to -0.2? (a) 4 (b) 532 (c) -5 (d) 0
d
Which is the closest to -1? (a) -14454 (b) 0.5 (c) -0.4
c
Which is the nearest to -0.1? (a) 2 (b) 1 (c) 0.06 (d) -0.03 (e) 1/2
d
What is the nearest to 1/6 in -2, -2/13, 7/2, 0.2?
0.2
What is the nearest to 9 in 0.1, 2, 3, -12, -2.1?
3
Which is the closest to -1? (a) 3/2 (b) -0.7 (c) -4 (d) -211
b
Which is the closest to -0.1? (a) 488 (b) 4 (c) -0.129
c
What is the nearest to 6 in -1/4, 86, 0.05?
0.05
What is the closest to -583 in 1/3, 6/11, 2?
1/3
Which is the closest to 2/5? (a) -2 (b) -1/2 (c) 11/105 (d) -3/4
c
Which is the closest to -0.2? (a) -0.2 (b) 3 (c) 3/2 (d) 5
a
Which is the closest to -2? (a) -1/136 (b) -2/5 (c) 0.5 (d) -3
d
Which is the closest to 0? (a) 2 (b) 1/12 (c) -175
b
What is the closest to 1 in -1/8, 5, 4, -8311, 1/2?
1/2
What is the nearest to -4 in 0.5, -47, 22?
0.5
What is the closest to 103 in -3, 2/7, -0.1, 0.3?
0.3
What is the closest to -2 in 3, 708, 2/13?
2/13
Which is the nearest to -0.1? (a) 3 (b) -10 (c) 90 (d) 9 (e) -2/19
e
Which is the nearest to -6? (a) -113 (b) -0.04 (c) -7/5 (d) 3
c
Which is the nearest to -0.08? (a) 1 (b) 13 (c) 0.09 (d) -0.2
d
What is the closest to 1.9 in -3/20, 4, 3, -5?
3
Which is the closest to 2006? (a) 5 (b) 0.4 (c) -16
a
Which is the closest to 4/17? (a) 2 (b) -4/11 (c) -1/4 (d) 0.02 (e) -0.2
d
What is the closest to 1 in -4, 1/3, -535/66?
1/3
What is the nearest to -2 in 4, -172, 2/35?
2/35
Which is the nearest to -14.4? (a) -1.7 (b) 3.3 (c) 0.2
a
Which is the closest to -3? (a) 13 (b) -0.2 (c) -828 (d) -0.3
d
What is the nearest to -2/3 in -0.5, 0.3, -4/2395?
-0.5
What is the nearest to 5 in -10647, 0, -3?
0
Which is the nearest to -149? (a) -1 (b) -0.025 (c) 0 (d) 9
a
What is the nearest to -0.1 in 8.08, 0, -242, -4?
0
Which is the closest to 1/11? (a) 4 (b) 2.5 (c) 0.1 (d) 0 (e) 0.4
c
What is the closest to 0.1 in -0.1, -380.6, 0.068?
0.068
What is the closest to -2/43 in -2/3, 2/11, -407, 0.2?
2/11
Which is the closest to 0.4? (a) 5 (b) 17/3 (c) 2.8
c
Which is the nearest to -88? (a) 0.021 (b) 0.5 (c) 2
a
What is the nearest to 4 in 4, -15, 3, 17?
4
What is the nearest to -2 in 2/19, 3, 5, -8?
2/19
What is the nearest to 2/5 in -2, 4/9, -2/7, -26, 0.0178?
4/9
Which is the closest to 2/67? (a) 5 (b) 2 (c) 1/3 (d) -42/55
c
What is the closest to 0.2 in 0.05, -3, 3, 766?
0.05
What is the nearest to -0.084 in -2, -233, -1/4?
-1/4
Which is the closest to 1/2? (a) -0.1 (b) 3/5 (c) 0 (d) 0.3 (e) 5/411
b
What is the closest to 1/5 in -8, -0.21, -0.1, 2, -1?
-0.1
Which is the nearest to 28? (a) 0.1 (b) 39 (c) -1/12
b
What is the nearest to -1/5 in -2/3, -159, 2, 0.06?
0.06
What is the closest to -0.3 in 3, 0.08, 0.2, 1127?
0.08
What is the closest to 0 in -30, 2/7, -2/97?
-2/97
What is the nearest to -0.1 in -1, 2/13, 8652?
2/13
Which is the closest to 7? (a) -2/7 (b) -28 (c) -3 (d) -2/5 (e) -1/5
e
Which is the closest to -17? (a) -6/35 (b) 9 (c) 5
a
What is the nearest to -3/17 in 0.5, -46, -1?
0.5
Which is the nearest to 1? (a) 5 (b) -0.09 (c) 2 (d) 2.81
c
What is the closest to 0.1 in -3/2, 6, 54, 3?
-3/2
What is the closest to 3/49 in -2, 1, 0?
0
Which is the nearest to -0.2? (a) -8 (b) 0.19 (c) 1.5
b
What is the nearest to -2 in -0.0446, -0.5, 4, 0.5?
-0.5
What is the closest to -2 in -2/11, -2/13379, 1?
-2/11
What is the closest to 3 in 315, -1/3, 27, -0.065?
-0.065
Which is the nearest to -1? (a) 1 (b) -4 (c) 3 (d) 43
a
What is the closest to 0 in -0.5, 1/3, -0.4, 4, -2/117?
-2/117
Which is the closest to -727? (a) -1 (b) 2 (c) 0 (d) 5
a
What is the nearest to 0.1 in -2, -20983, -5, 7, -1?
-1
What is the closest to -0.2 in 0.3, -2/9, 447, 1, -121?
-2/9
Which is the closest to -0.05? (a) -2/157 (b) 1 (c) -0.0805
c
Which is the nearest to 1? (a) -0.4 (b) 0.09 (c) 1/5 (d) 6 (e) 2/37
c
Which is the closest to -1? (a) 2/4761 (b) 1/2 (c) 3 (d) -0.4
d
Which is the nearest to 2/9? (a) -33 (b) 5 (c) -1/4 (d) -1/2 (e) -27
c
Which is the nearest to -1? (a) 1/5427 (b) -2 (c) -0.5 (d) 2/7 (e) -36
c
What is the nearest to -2/9 in 0.1, 2/13, -1, 1691?
0.1
What is the closest to -3 in 3, -5, -0.01, 0, -14/5?
-14/5
Which is the closest to -1/2? (a) -4 (b) 0.4 (c) -0.1298
c
Which is the closest to 2/7? (a) 4/28389 (b) 0.05 (c) 1
b
Which is the nearest to 1/2? (a) -2 (b) 8 (c) 1/5 (d) 6
c
What is the closest to -1/11 in 3/2, -5, 1, 629/6?
1
What is the closest to 0 in -1, -0.03, 0.1, 11?
-0.03
What is the nearest to 33389 in -3/7, 0.4, -3, -4, 5?
5
Which is the nearest to 1? (a) -1/5 (b) 0.5 (c) -452 (d) 2/53
b
Which is the closest to 80? (a) -5 (b) -4 (c) -40 (d) 5
d
Which is the closest to 1/3? (a) -68/3 (b) 5 (c) -1/5
c
What is the nearest to -0.03 in 6/19, -1, 1/6, 2/13?
2/13
What is the nearest to 9/4 in -1/250, -0.2, 1/3, 1?
1
Which is the nearest to -2/105? (a) 3 (b) -0.5 (c) 34.1 (d) 0.3
d
Which is the closest to 0.3? (a) 1 (b) -3/7 (c) 191 (d) -9
a
What is the nearest to -0.97 in 0, -4, -1/9, 0.12?
-1/9
Which is the nearest to 0? (a) 1 (b) -4.04 (c) 3/7
c
What is the closest to 2 in -3/5, -1/3, 2, -2.9045?
2
What is the closest to -1/3 in -1/2, -0.1467, 0.3, -2/7, 0.15?
-2/7
What is the closest to 0.1 in 0.08, 81, -0.14, 0.3, 1/3?
0.08
Which is the closest to 0? (a) 1 (b) -1/5 (c) 247 (d) -4 (e) -19
b
Which is the closest to 0.1? (a) -5 (b) -1/7 (c) 49789
b
Which is the closest to -2/9? (a) -0.076 (b) 2 (c) 6/7 (d) -155 (e) -0.1
e
What is the closest to -0.1 in 1, 899752, 0.5?
0.5
What is the closest to -1851 in -0.3, 2, 7?
-0.3
What is the closest to 1/4 in -0.94, -5, 14, 2/15?
2/15
Which is the nearest to -2? (a) -10/3 (b) -2/9 (c) 7 (d) 1
a
Which is the nearest to -0.1? (a) -1 (b) -2482 (c) 0.07
c
Which is the nearest to -13? (a) 1/3 (b) 726 (c) 0.1 (d) -0.2
d
Which is the closest to 2? (a) 1/39 (b) 4/7 (c) -6 (d) 4
b
Which is the closest to 2/7? (a) -3.4 (b) 0.2 (c) -0.5
b
What is the nearest to -2/7 in 1/5, 3/1714, -11?
3/1714
What is the nearest to 2/57 in 398, -1.1, 5?
-1.1
What is the nearest to 19/6 in -275, 0.5, -0.02?
0.5
Which is the closest to 17.4? (a) -5.2 (b) 3 (c) 7
c
Which is the closest to -0.1? (a) 3 (b) 1/4 (c) 1431/5
b
What is the nearest to -51 in 2, -2.5, -4/9, 0.2?
-2.5
Which is the closest to -3220? (a) 3 (b) -3 (c) -2 (d) -1/2 (e) 4
b
What is the nearest to 0 in 266, -1/2, -4/5?
-1/2
What is the nearest to -2/9 in -63/2, -4, 0?
0
Which is the closest to -2? (a) 0 (b) 36 (c) -453
a
What is the nearest to 41 in -1, -1/8, 4/7, -2?
4/7
Which is the closest to 0.5? (a) -11 (b) -2 (c) -12.8
b
What is the nearest to -0.3 in -3, -4/11, -1/4, -1, 254?
-1/4
Which is the closest to 4? (a) -3/8 (b) 0.8398 (c) -0.1 (d) -0.4 (e) -4
b
What is the closest to 3 in -2, -4, -40, -1/2, 11?
-1/2
What is the closest to -0.4 in 2/9, -7, -5, -2/199, 0.21?
-2/199
Which is the closest to 31/4? (a) -0.047 (b) 2/7 (c) -0.2
b
Which is the closest to 389.8? (a) -2/9 (b) 1 (c) -3 (d) -0.3
b
What is the closest to -2/5 in -2/2025, -2/9, -5, -0.5?
-0.5
What is the closest to -0.2 in -1/9, 3/53, -4/7, -4?
-1/9
Which is the nearest to -0.1? (a) -26/731 (b) 0.5 (c) 4
a
Which is the closest to -0.1? (a) 0.2 (b) 1/9 (c) -32/9
b
Which is the nearest to 0.11? (a) 0.0243 (b) 3 (c) -4 (d) -1/8
a
What is the closest to -302 in 0.074, 4, -0.1, 0.4, -1?
-1
What is the clos | {
"pile_set_name": "DM Mathematics"
} |
76/3 - -26. Which is the nearest to 2/3? (a) m (b) z (c) -2
b
Suppose 0 = -l - 5, 2*l + 10 = 5*n - 0*l. Suppose 0*k - 2*k - 8 = n, -3*k - 16 = 4*i. What is the closest to -5 in -2, 0, i?
-2
Let s = -172 - -1552/9. Suppose 6*l - 28 = -8*l. Which is the nearest to l? (a) -4 (b) s (c) 5
b
Let d = -171 - -166. Let f = -6 - -5.2. What is the nearest to f in 4, -3, d?
-3
Let o = 0.35 + -0.35. Let k = -7.63 + 7.93. Let z = -0.1 + 0.1. What is the closest to o in k, 5, z?
z
Let f = 19.8 - 19.4. Which is the closest to 2? (a) 1/3 (b) f (c) 39
b
Let s(v) = 2*v - 3. Let n be s(-12). Let u be 28/30 + n/45. Let h = 1.9 - 2. Which is the closest to h? (a) 1 (b) u (c) -0.3
c
Let c = -0.1 - -1.1. Let u be (8/740)/((-9)/(-85)). Let t = u - 12/37. What is the nearest to c in 2/9, t, 2?
2/9
Let l = -9 + 4. Let t = 6.9 - 70.9. Let i = -64 - t. Which is the nearest to 0.1? (a) i (b) -1/4 (c) l
a
Let v = 0.1 + -0.2. Let i be (1/(-1))/((-3)/(-2) - 280/240). Let p = -1 + -3. Which is the closest to v? (a) 4 (b) i (c) p
b
Let g = -591.9 - -591.7. Let t = -2 - -2. Let d = 22 + -16. Which is the nearest to 0? (a) g (b) d (c) t
c
Let u = -0.114 - -16.114. What is the nearest to 0.05 in 0, 3/5, u?
0
Let o be (-3)/(-24)*2 + 0. Let c = -306 + 287. What is the closest to c in -1, 1, o?
-1
Let b = -90.7 + 94.7. What is the closest to 0 in -0.3, b, 2?
-0.3
Let k be 73 + -74 - ((-274)/272 + 0). What is the closest to -0.1 in -1, 3, k?
k
Let j = -8 - -7.8. Let b = -18 + 18.3. Let l = b + j. What is the closest to l in -2/3, 1/5, -1?
1/5
Let f = -0.099 + -0.101. Which is the nearest to 3? (a) -2/5 (b) f (c) -2
b
Let l = 351 + -350.7. Which is the nearest to -2? (a) l (b) -190 (c) -4
c
Let i = -88 + 90.8. What is the closest to 1 in -4, 0.5, 1/7, i?
0.5
Let r be (-1)/3*(24 - 2 - 4). Which is the nearest to -1/4? (a) 2 (b) 0.4 (c) r
b
Let i be 2 - (56/30 - 18/27). Which is the closest to -0.1? (a) -3 (b) -0.3 (c) i (d) 3/8
b
Let w(l) = l**2 - 29*l - 28. Let v be w(30). Which is the closest to -2? (a) v (b) -3/4 (c) -3/7
b
Let q = -8892.023 + 8882. Let i = q - -0.023. Which is the closest to -1/2? (a) 5/3 (b) i (c) -3
a
Let j = -0.006 + 29.006. Suppose -2*l = z - 9, 3*z - 6 = -l + 11. Which is the nearest to j? (a) 5 (b) 3 (c) l
a
Let l = 2.8 - 3. Let i = -41 - -40.38. Let g = -0.72 - i. What is the closest to l in -5, g, -2/15?
-2/15
Let v(o) = -o**2 + 4*o + 7. Let u be v(5). Let l = 0.2 + 0.8. Let c(x) = x**2 + 10*x - 1. Let s be c(-10). What is the nearest to l in -0.5, u, s?
u
Let v = 20 - 29. Let j = v + 8.8. Let r = j + 2.2. Which is the closest to r? (a) 6/11 (b) 3 (c) 0.5
b
Let l(b) = 2*b + 21. Let d = 38 + -48. Let i be l(d). Let v = 91/92 - -6/23. What is the closest to i in -0.4, v, 2?
v
Suppose -102 = -x - 70. Which is the closest to 1? (a) 1 (b) 3/4 (c) x
a
Let l = 11 - 10.9. Suppose -2*n + 0*n + 12 = 0. Let x = -104 + 107. Which is the nearest to -0.1? (a) l (b) n (c) x
a
Suppose 3*j - 14 = -2. Let z be 13*j/(-336) + (-3)/(-12). Which is the closest to -1? (a) z (b) 0.2 (c) -3/7
c
Let z = -14.6 - -51.6. Let f = z + -35. What is the nearest to 1/3 in 5, -1, f?
-1
Let b = 8.96 + -9.06. Suppose -4 = -2*f - 2*i, -2*f + 8*i = 4*i - 16. What is the closest to 2 in -1/5, f, b?
f
Let i = 318 + -311. Which is the closest to 2/3? (a) 2/7 (b) i (c) 3
a
Let n = 15 - 25.4. Let g = n - -9.7. What is the closest to 0 in -1/4, g, 3/4?
-1/4
Let m = -0.01 + 4.01. Let s be 18/(-8)*120/(-45). Let g be (-6)/16*s/9. Which is the closest to g? (a) -5 (b) m (c) 3
c
Let w = 929/19 + -49. Let z = -0.27 - -0.07. Let h(d) = 27*d - 189. Let g be h(7). Which is the nearest to w? (a) z (b) g (c) 4
a
Let v = 0.17 + -0.73. Let u = 0.36 + v. Which is the closest to -0.1? (a) u (b) -2 (c) -5
a
Suppose -70*w = -63*w. Let y = -63 - -62. Let v be 8/30*(-6)/4. Which is the closest to v? (a) w (b) y (c) -2
a
Let y(z) = z**3 - 7*z**2 + 6*z + 8. Let o be y(6). What is the nearest to -3 in -0.3, o, 0.3?
-0.3
Let o(h) = h**2 - 6*h + 3. Let f(y) = 2*y**2 + 7*y - 11. Let p be f(-5). Let n be o(p). Let s = 0 + 1. Which is the closest to s? (a) 3 (b) -0.3 (c) n
b
Let v = 10 + -13. Let k = v + -2. Let l = -0.08 - 0.02. Which is the nearest to l? (a) -4 (b) 0.4 (c) k
b
Let q(r) be the second derivative of -r**5/20 - r**4 - 2*r**3 + 5*r**2 + 13*r. Let l be q(-11). Let k = l - 16. What is the nearest to -2/5 in 0.5, -2/5, k?
-2/5
Let m be -2*(-2 + 13/7). Suppose -5*x - 5*l = 30, 0 = x + 4*x + l + 42. Which is the closest to x? (a) m (b) 1 (c) -4/5
c
Let o = 7311/70 + -209/2. What is the nearest to -0.05 in 4, 2, 0, o?
o
Let f = 313 - 314. What is the closest to f in -4, 2/7, 1/4, -1/2?
-1/2
Let u = 2 - 2.73. Let x = 0.73 + u. What is the closest to -0.06 in -1, 0.1, x?
x
Let y be 2/(-30) + (-73)/219. Let d be (-10)/(-3) - 4/(-6). Which is the closest to 0.2? (a) -1/3 (b) y (c) d
a
Let s = -83.3 - -78.3. What is the closest to 2 in 0.41, s, 5, 0?
0.41
Let m be 9 - (260/22 + -3). Let h = -6 - -1. What is the closest to -0.2 in h, m, -2/9?
-2/9
Let q = -71/159 + 6/53. What is the nearest to -0.1 in 1/3, -2, q?
q
Let d be (312/(-1430))/(1 + 6/(-10)). What is the nearest to 1/3 in 4, 0, 7/3, d?
0
Let j = 0.3 - -0.1. Let q be (((-4)/20)/(16/(-270)))/((-3)/6). Which is the nearest to 0? (a) j (b) 0 (c) q
b
Let x = 2 + 28. Let s = x - 30.3. Let y = -3.07 + 0.07. What is the nearest to -1 in y, 0, s?
s
Let s = 8 - 7. Which is the nearest to -0.3? (a) -3/16 (b) -3 (c) -2 (d) s
a
Let m be 10/(-100) - 1/(-2). Which is the closest to 0? (a) m (b) 5 (c) -3 (d) 4
a
Let n = 319.4 - 319. What is the nearest to -6 in n, 3, -1/3?
-1/3
Let k = -551 - -551.1. Let o = -8 - -11. What is the closest to k in o, 4/7, -5/4?
4/7
Let g = -4 + -3. Let l = g - -7.4. Let m = 0.9 - -0.1. What is the nearest to m in -4, 1, l?
1
Let j = 22 - 6. Let l = j + -16.02. Let m = l - -0.02. Which is the closest to m? (a) -1/4 (b) -1 (c) 2
a
Let i = 43 - 77. Let s = i - -33.5. What is the nearest to 2/3 in -0.4, 0.2, s?
0.2
Let t be -1*(3 - 3)/4. Let g be t + -3 + 19/7. Let l(r) = -r + 19. Let b be l(15). What is the nearest to g in -3/5, b, 0.1?
-3/5
Let z = -1.427 - -0.427. What is the closest to -1/3 in 0.1, -4, z?
0.1
Let a be (375/(-18))/(-5) + -4. What is the closest to 0.1 in 0.4, a, 0.5?
a
Let k(t) = -9 + t**2 - 4*t**2 + 7*t + 11 + 2*t**2. Let j be k(7). Suppose 0 = 3*d - j*d. What is the nearest to 1 in d, 3/4, 4/5?
4/5
Let h = -0.09 - -2.09. Let c = h - 2.04. Let u = -0.04 - c. What is the nearest to 0 in u, 0.3, -5?
u
Let s = 5.059 - 0.059. Let m = 13 + -10. Which is the closest to 0.1? (a) s (b) m (c) 0.1
c
Let u = 0.6 - 0.1. Let a be (-3)/9 - (-163)/507. Let j = a - -348/845. What is the closest to 2/5 in 3, u, j?
j
Let a = -324.4 - -324. Let k = -4 + 3.4. Let v = 0.2 + k. What is the nearest to a in 4, v, 0?
v
Let s be 0 + -5 + 9 + (-68)/16. What is the closest to 0.1 in -3/2, s, 0?
0
Suppose -2*l - 2*s - 2 = 0, -2*s + 0*s - 10 = -2*l. Suppose -2*g - 8 = l*g. Let c = -35.8 + 36. What is the closest to 2/7 in c, 4, g?
c
Let s be (-40)/20 - 6/(-1). Let f be (3 + -2)*(-1)/(-3). What is the closest to f in -0.2, -4, s?
-0.2
Let m = 0.153 + 0.047. Let t = m + -0.6. Which is the nearest to -2/7? (a) t (b) -8 (c) 3/4
a
Let x = 77 - 78. Let g = x - 0. What is the closest to g in -0.7, 5, 2/9?
-0.7
Let n = 1380 - 1380.1. Which is the nearest to -0.1? (a) n (b) -12 (c) -5
a
Let q = 8 - 11. Let y = 26.4 + 0.6. Let p = y + -25. What is the closest to p in q, 5, 2?
2
Let l = -22.1 - -22. What is the closest to -0.1 in l, -5, 8, 0.6?
l
Let i(f) = f**2 - 14*f + 7. Let a be i(15). What is the closest to a in -0.1, -2, 4?
4
Let u = 13 + -9. Suppose 696*n + 435 = 711*n. Suppose 5*d - n = 2*i - 9, -u*d - i = -3. What is the closest to 8 in 2/7, -0.5, d?
d
Suppose 0 = o - 4*o - 144. Let l = -48 - o. Which is the nearest to l? (a) 2 (b) 2/5 (c) 4
b
Let p(z) = -z**3 - 4*z**2 - 3*z + 1. Let u be p(-3). Let m be (0 - 3/(-2))/(30/8). Let i = 43/6 + -7. Which is the nearest to u? (a) m (b) i (c) 6
a
Let m = 124 - 249/2. Which is the nearest to m? (a) 12/7 (b) -5 (c) 0
c
Let i = 1776 - 1774. What is the nearest to -0.4 in i, -4.9, -1/4?
-1/4
Suppose 208 - 248 | {
"pile_set_name": "DM Mathematics"
} |
ounded to 5 dps?
-0.00015
Let r = 0.0832 + 0.6788. Round r to 1 decimal place.
0.8
Let p = 390 + -140. Let w = 249.999893 - p. What is w rounded to five dps?
-0.00011
Let c = -3061028 - 2690366. Let j = c - -5751393.83000012. Let x = j - -0.17. Round x to seven dps.
0.0000001
Let g(f) be the second derivative of -257*f**3/6 - 5*f**2 - f. Let m be g(5). Let r = 2035 + m. What is r rounded to the nearest 100?
700
Let i = 123.0001248 + -123. What is i rounded to six decimal places?
0.000125
Let k = 3948.00002303 + -3948. What is k rounded to six dps?
0.000023
Let k = 729.998072 - 730. Round k to 4 decimal places.
-0.0019
Suppose -7*q = 3*q - 7780. Let k be (-13000)/(-3 + q/260). Round k to the nearest 1000000.
2000000
Let g = 1 - -2. Suppose 4*z - 1544 = 5*b - 3*b, 0 = -4*b. Suppose -5*a - 5*h - 190 = 450, -z = g*a + 5*h. Round a to the nearest ten.
-130
Let q = 28.2232 + 0.0268. Round q to the nearest ten.
30
Let s(y) = 2755190*y**2 - 1 + 1 + 4*y - 540254*y**2 + 1. Let p be s(3). Let j = 8634437 - p. What is j rounded to the nearest one million?
-11000000
Let z = -159793.83 - -158589. Let i = -1212 - z. Round i to zero dps.
-7
Suppose -j + 2928 = -r, 4*r = j - 0*j - 11718. Round r to the nearest one hundred.
-2900
Suppose -4*d - 4*y + 11 = -1, y - 18 = -4*d. Suppose d*n = 3*n - 226000. What is n rounded to the nearest 10000?
-110000
Suppose r + 4*r + 3*m + 73689994 = 0, -2*m = 3*r + 44213996. Round r to the nearest 100000.
-14700000
Let u = 2630 + -1230. Suppose 0 = -22*y + 17*y - u. What is y rounded to the nearest one hundred?
-300
Let m = 0.142998738 + -0.143. What is m rounded to 7 decimal places?
-0.0000013
Suppose 4 = 3*f - 2. Let z be 21/f - (-4)/(-8). Suppose z*i - 7*i - 2400000 = 0. What is i rounded to the nearest one hundred thousand?
800000
Let z = -4.5173 + -0.0727. Let t = z - 22.11. What is t rounded to the nearest integer?
-27
Let z be 585/60 + (-1)/(-4). Suppose -z*v - 252 = -v. Let n be 14/v + 281/2. Round n to the nearest 100.
100
Suppose 2 + 8 = 5*y. Suppose y*t = -t + 2*f + 125, 2*t - 5*f - 65 = 0. What is t rounded to the nearest ten?
50
Let o = 285 - 188. Let h = o + -97.266. What is h rounded to one decimal place?
-0.3
Let n = 1.146 + -65.135. Let m = -0.011 + n. Let x = m + 64.91. Round x to 1 decimal place.
0.9
Let i = -3.51694708 - -80762.51914708. Let h = i - 80736. Let z = -23 + h. Round z to 3 dps.
0.002
Let n = -62117.0958 + 62112. Let x = 0.113 + 4.987. Let h = n + x. Round h to 3 decimal places.
0.004
Let k = 0.08 - 0.093. Let r = k - -0.01164. What is r rounded to four dps?
-0.0014
Let n = 625.81 + -511.828. Let z = 114 - n. What is z rounded to one decimal place?
0
Let g be 4 - (87/15 - (-1)/5). Let d be (55998 + (-6)/(-3))/(g/650). What is d rounded to the nearest 1000000?
-18000000
Let o = -55050464 + 23602096. Let z = -13748356 - o. Suppose -3*j - 5*w = 17699980, 3*w = -2*j + 5*j + z. Round j to the nearest one million.
-6000000
Let q = 8.8 + -107.8. Let b = q + 100.25. Round b to 1 decimal place.
1.3
Let z be 8 + -2 - 3 - (1 - 1). Suppose -5*h + 4*n = -290008, -z*n = -0*n + 6. What is h rounded to the nearest one hundred thousand?
100000
Suppose 0 = 3*c - 2*c - 4. Suppose 0 = 4*t + 20 - c. Let g be t/(-1*4)*-4. Round g to the nearest ten.
0
Let k(s) = -1541*s - 78. Let q be k(-8). What is q rounded to the nearest 1000?
12000
Let f = 0.20943 - 15.44643. What is f rounded to zero dps?
-15
Let b = -157.36 + 146. Let k = b + 10. Let h = -1.3600061 - k. Round h to 6 dps.
-0.000006
Let g = -0.207 + 0.838. Round g to two dps.
0.63
Let p = 568.58955 - 568.2. Let k = p - 0.39. What is k rounded to 4 decimal places?
-0.0005
Let x = -0.08356768 - -0.0836. What is x rounded to five dps?
0.00003
Let z = -750.83882 + 685.83882384. Let p = 65 + z. What is p rounded to seven decimal places?
0.0000038
Let o = 12 - 10. Suppose o*a - 4451 = 3069. Suppose 7*x - 3*x = a. Round x to the nearest 100.
900
Let i = 1631.4 - 1500. What is i rounded to the nearest ten?
130
Suppose 0*y = -3*y. Suppose 2*z + a - 3150001 = y, 2*a = z - 2*a - 1574996. Suppose -3*s = 2*s - z. Round s to the nearest ten thousand.
320000
Suppose -26*r + 212 = -30*r. Let j = -124 - r. Round j to the nearest ten.
-70
Let f = 70.192542 + -0.163542. Let a = f + -70. Round a to two decimal places.
0.03
Let g(k) = 12308*k**2 - 41*k + 5. Let l be g(-3). What is l rounded to the nearest 1000?
111000
Let t(x) = -14728*x + 8. Suppose 0 = -6*a + 75 - 9. Let h be t(a). What is h rounded to the nearest 10000?
-160000
Let l = 3064.999993514 + -3065. What is l rounded to six decimal places?
-0.000006
Let z = -622.0086 - -622. What is z rounded to three decimal places?
-0.009
Let w = 5.799998724 - 5.8. Round w to seven decimal places.
-0.0000013
Let m = 31 - 31. Suppose 0*b + 5*b - 8600000 = 2*x, m = -5*x + 3*b - 21500000. Round x to the nearest one million.
-4000000
Let s = 59.472 + -60. Let i = s + 0.53263. Round i to three dps.
0.005
Let t = -1.11 - -1.01. Let f = -0.10984 - t. What is f rounded to three dps?
-0.01
Let v = -0.073 + 43.073. Let a = v + -42.903. What is a rounded to 2 dps?
0.1
Let a = 10 - 38. Let o = a + 28.0004. What is o rounded to 3 decimal places?
0
Let a = -25575617 - -2345617. Round a to the nearest one million.
-23000000
Let n = 17.589 + 11.754. Let z = n + -0.243. What is z rounded to the nearest ten?
30
Let k = -0.81 + 0.80444. Round k to four decimal places.
-0.0056
Let s(w) = -26*w - 1. Let n be s(-1). Let k be (-66)/(-15) + 15/n. Suppose k*j - 21504 = 10996. Round j to the nearest 1000.
7000
Let p = 3801284 + -2074850. Let a = -1726447.999935 + p. Let n = 14 + a. Round n to 5 dps.
0.00007
Let d = 227 + -372. Round d to zero decimal places.
-145
Let p = 0.006 + 0.059. Let h = -0.065472 + p. Round h to 4 dps.
-0.0005
Let b = 4.678 - -18.076. Let j = -0.154 + b. What is j rounded to the nearest integer?
23
Let z(b) = b**2 + b - 4. Let c be z(-4). Let h = -11 + c. Let p be (2190/(-4))/(h/(-40)). What is p rounded to the nearest 1000?
-7000
Let s = -3.821 + 3.82093074. Round s to five decimal places.
-0.00007
Let s = -0.0256 - 427.9744. Let g = -267 - s. Let p = 161.0000281 - g. What is p rounded to 6 decimal places?
0.000028
Let p = -668 + 667.939. What is p rounded to two dps?
-0.06
Suppose -3*t + 16 = 2*y, y = -y + t. Suppose 2*k + w + 2*w = 20, 0 = -y*k + 5*w + 36. Round k to the nearest ten.
10
Let h = 2952 + -2952.00000221. What is h rounded to seven decimal places?
-0.0000022
Let w be ((-19)/(95/(-563750)))/((-1)/240). Round w to the nearest 1000000.
-27000000
Let j = 19081 + -19018.028. Let i = j - 63. Round i to 2 dps.
-0.03
Let j = 8.021 - 8. Let w = j + 19.979. Let r = w - 19.989. What is r rounded to 3 dps?
0.011
Let m = 38 + -9. Let x = 9 - m. Let u = x - -19.999994. What is u rounded to five decimal places?
-0.00001
Let k = -153814.9491 + 153261.1. Let o = -554 - k. Let q = 0.15 + o. Round q to 3 decimal places.
-0.001
Let f = -0.24189 - -1174.34189. What is f rounded to the nearest one hundred?
1200
Let n = -21 - -24. Suppose -2*o = n*u + 3920 + 5086, -5*o - 9015 = 3*u. What is u rounded to the nearest ten thousand?
0
Let z(c) = 34687*c**3 - 2*c**2 - 2*c - 8. Let u be z(-4). What is u rounded to the nearest one hundred thousand?
-2200000
Let a be ((-715)/10)/(-13) - (-3)/(-2). Suppose -a*l + 0*n + 5159995 = -5*n, 2579997 = 2*l - 3*n. What is l rounded to the nearest 1000000?
1000000
Let r = 43 - 43.0237. What is r rounded to 3 dps?
-0.024
Let c = -35371 + 56071. What is c rounded to the nearest ten thousand?
20000
Let m(f) = -1974999*f + 4. Suppose -5*j + 3*g = 17 + 6, -3*g = -4*j - 19. Let y be m(j). What is y rounded to the nearest 1000000?
8000000
Let z = 28802 - 28803.3581. Round z to 2 dps.
-1.36
Suppose 4*a = c + 3*c - 12, 0 = 2*c - 5*a - 15. Suppose c*u = -5*u - 3*f + 5403, 3*u = 2*f + 3238. What is u rounded to the nearest one hundred?
1100
Let h = -25.6 + 4.6. Let p = -9.5 - -29. Let g = p + h. What is g rounded to the nearest integer?
-2
Let j = -648 - -679.4. What is j rounded to 0 decimal places?
31
Let a = -126779842.32999971 - -126779843. Let t = 0.67 - a. What is t rounded to 7 dps?
-0.0000003
Suppose -1572 = 4*h + 272. Suppose -718 - 283 = l. Let p = l - h. What is p rounded to the nearest one hundred?
-500
Let q | {
"pile_set_name": "DM Mathematics"
} |
11*f**2 + 13*f - 6. Let z be m(j). Let k be 17/(-12) + z/8. Are k and -6 equal?
False
Let x = -9/1294 + 8373/645706. Which is smaller: x or -1?
-1
Let o be ((-27644)/(-90))/(10/(-15)). Let w = o + 461. Is w > 1?
False
Suppose 4*q + 5 = -4*u + 1, 4*u - q = 1. Let z = -0.46 - 0.2. Let c = z - -0.36. Is c bigger than u?
False
Let l(b) = -5*b + 3. Let u be l(2). Suppose 0*m + 5*m + 3*y + 44 = 0, -m - 4 = -y. Let p(o) = o**3 + 7*o**2 + 2*o + 6. Let s be p(m). Which is greater: s or u?
u
Let s = 125 + -119. Let p be (-2)/(-5)*-1*5. Which is greater: s or p?
s
Suppose 444 = -2*x - 2*y - 2*y, -x - 226 = -2*y. Let a = 3811/17 + x. Is 0 greater than or equal to a?
False
Let y(i) = -i**3 - 4*i**2 + i + 1. Let x be y(-4). Let g be x - (-1 + -2) - 13. Let z = 14 + g. Is z not equal to -3/7?
True
Let k(f) = 2*f + 6. Let m be k(4). Let z(v) = -v**2 + 6*v + 7. Let q be z(5). Is q equal to m?
False
Let x be (2/(-12))/(-5 + (-9532)/(-1908)). Which is smaller: x or 41?
x
Let c = -703 + 652. Is -16 at most c?
False
Let a = 14.6 - 16.5. Let z(w) = -w**2 - w + 2. Let v be z(0). Suppose 0 + 2 = v*r. Is r less than a?
False
Suppose -2*z + 1 = 11. Let d be 16/(-88) + (-223)/44. Which is smaller: z or d?
d
Let y(w) = -w**2 + 8*w + 9. Let d(j) = 2*j**2 + 4*j + 4. Let s be d(-3). Let o be ((-12)/s)/((-18)/135). Let a be y(o). Is 2/11 bigger than a?
True
Suppose -3*s - 5*j = -3*j + 23, -s - j - 9 = 0. Let g be (-42)/35*s/2. Suppose 6 = 3*k, -5*k + 0 + 22 = 3*o. Which is bigger: o or g?
o
Let j be (0 + 0)/((-9)/(-9)). Suppose -8*v + 13*v - 35 = j. Let x = -33 + 42. Is v smaller than x?
True
Let s(a) = -5*a - 8. Let w be s(-37). Which is greater: w or 175?
w
Let j be (-5)/(-2) + -2 - (-4455)/12. Let s = j - 370. Which is bigger: 3 or s?
3
Suppose -3 = -i + h, -4*i - 4*h + 24 - 36 = 0. Let y = 57/143 - 14/33. Do i and y have the same value?
False
Let s be (3/6)/((-19572)/126). Which is greater: 0 or s?
0
Let n(r) = -4*r**3 + 11*r**2 - 14*r + 75. Let a be n(6). Is -953/2 at least as big as a?
True
Let i(p) = 2*p + 59. Let g be i(-17). Does g = 31?
False
Suppose -9 = -2*x - 1. Suppose 2*g = -x*g. Suppose g = 2*y - 4*y. Which is bigger: -3 or y?
y
Suppose 2*o - 11*j - 319 = -14*j, -5*j + 142 = o. Which is smaller: o or 0.1?
0.1
Let n be (-2)/(-5) - 265/475*1. Let s(t) = -t**3 - 7*t**2 - 6*t - 4. Let u be s(-6). Let k = u - -4. Is n at least k?
False
Let p = 1374 + -1141. Which is bigger: p or 232?
p
Let r = 1253 - 1248. Let p be 4/14 + (-85)/(-21). Is p < r?
True
Let w = 70.7 - 1.7. Let o = w - 68. Is 12 greater than o?
True
Let q = 0.01 + -2.01. Suppose 7*y - 4*u = 2*y - 4, 3*y + 5*u = 5. Which is greater: q or y?
y
Let n = -6 - -1. Suppose -4*l - 58 = 5*u, 4*u - l + 3*l = -44. Let s be 2/u + (-16)/n. Is s at least 3?
True
Let h(u) = u**3 + 17*u**2 - 5*u - 86. Let a be h(-17). Let z(b) = b + 6. Let s be z(-6). Is s < a?
False
Suppose 4*i = 197 + 43. Let s be i/(-18) + 0 + 3. Let f be (-2)/4 - (-2)/4. Is s smaller than f?
True
Let f = -42 + 47.84. Let t = 0.16 + f. Let s = -109.73 - -107.73. Is s at least t?
False
Suppose -x - 2*p + 3 + 1 = 0, 5*x - 11 = -p. Let g(d) = -d + d + 2*d + x. Let h be g(1). Is 3 greater than h?
False
Suppose 0 = -g + 2 - 1. Let o = 5 - g. Is 3 at most as big as o?
True
Let z be ((-18)/4)/((-2)/(-4)). Let t = 13273/5 - 2665. Which is greater: t or z?
z
Suppose 74159 + 1032044 = -4*k + n, 0 = -2*k + 5*n - 553079. Let b = k + 120299908/435. Let y = -18/29 - b. Is 0 >= y?
True
Let b = -100.1 - -100. Let m = -3.02 - -0.02. Which is greater: m or b?
b
Let g be 7*((-96)/7)/(-4). Suppose -k + 3*k = -4*s + g, 2*k = -s + 12. Let d = -4 + 7. Which is bigger: d or k?
k
Let j = 9.5 + -11. Let x = j - -1.72. Is x smaller than -0.1?
False
Let j be (-148)/180 - 4/(-18). Let u = 1077 + -1128.3. Let y = u - -51. Is j <= y?
True
Let p be (-80)/(-280) + 752/14. Which is smaller: p or 51?
51
Suppose 16*i = 12*i + 4. Which is smaller: i or -78?
-78
Let b(k) = k**3 - 8*k**2 + 5*k + 12. Let a be b(7). Which is smaller: -54/31 or a?
a
Let s = 0.408 - 0.508. Let m be ((-2)/24)/(4/(-6)). Which is bigger: s or m?
m
Let a be -1*25*5/20. Let h be 183/(-27) - 1/((-18)/(-4)). Let o = a - h. Do o and 0 have the same value?
False
Let c(k) = -8*k**3 + k**2 - 1. Let t be c(-1). Let u be 1/((-52)/t) - 187. Let r = u - -187. Is r smaller than 1/2?
True
Suppose 11*i = -13*i + 17*i. Which is smaller: i or -9?
-9
Let v = -34847 - -3449546/99. Let p = 28/11 + v. Which is greater: p or 0?
0
Let g = 306 - 308. Let f be (-2)/7*(-70)/(-9). Is g at least f?
True
Let p be 428/(-144) + 4/18. Let s = 19 - 19.1. Is s less than p?
False
Let o = -6/25 - 113/50. Let q = 1/30 - -13/60. Which is smaller: o or q?
o
Let a = 41 + -35. Let b be (-3 + a + -2)*1. Do -9/4 and b have the same value?
False
Let w = 4.92 + 0.08. Let o(m) = -8*m - 21. Let r be o(-3). Suppose -h - h = r*h. Which is smaller: w or h?
h
Let u(i) be the second derivative of i**5/20 + i**4/3 - 2*i**3/3 + 7*i**2/2 + 6*i. Let j be u(-5). Which is smaller: j or -0.12?
-0.12
Let h(p) = p**3 + 8*p**2 - 12*p - 18. Let c be 10/55 - (-404)/(-44). Let k be h(c). Is k equal to 10?
False
Let f = 127072/97 - 1310. Which is smaller: f or 0?
0
Suppose -q - c = -11, 6*q - 5*c - 25 = q. Which is greater: 5 or q?
q
Let t = -25403/1002366 + 6/239. Let x = -123721/8388 + t. Is x greater than -15?
True
Suppose -3*i + 69 = 4*l - 13, -126 = -5*i - 4*l. Suppose 4*w - 106 = -y - y, 4*y = w - i. Which is bigger: w or 25?
w
Let t = -657 - -668.96. Let c = 0.04 + t. Let s = c + -11. Which is smaller: s or 10?
s
Let a = -0.2 + 0.1. Let f = 0.2 + -2.1. Let g = f - -6.9. Which is bigger: g or a?
g
Suppose 4*j + 8 = b + 21, -5*j + 17 = -b. Suppose -7 - 1 = -b*w - i, w + 5*i - 26 = 0. Is -7 bigger than w?
False
Let t be (-3 - -2 - 3) + 0. Let f be (t + 3)/((-651)/(-333)). Let m = -7/31 - f. Is 1 bigger than m?
True
Let q = 92 - 277/3. Suppose 0 = j - 6*j. Suppose -p = -5*p - 2*f, 4*p + 5*f = j. Which is smaller: q or p?
q
Suppose g - 2*g = 0. Suppose -2*j - 10 = g, 2*t + 0*t + j + 25 = 0. Let f be t/(-5)*6/(-33). Is f greater than or equal to 0?
False
Let x(g) = -15*g + 30. Let s be x(2). Which is smaller: 21/38 or s?
s
Let q = 0.96 - -44.04. Let u = q - 46. Which is bigger: u or 2/103?
2/103
Let r be (2/(-2))/(2 - 11). Let l be (-2 + -5)*4/(-14). Suppose l*a = -4*y - a + 6, -a + 2 = 3*y. Is r smaller than y?
False
Let a(n) = 3*n - 20. Let y be a(8). Suppose 7*o + y*k + 70 = 9*o, 3*o + 2*k - 97 = 0. Is o less than 32?
False
Let u be (-6)/(-4) - 3/6. Let c be 86/12 - 1 - 168/28. Is c not equal to u?
True
Let q(d) = -d**3 + 2*d**2 + 11*d - 12. Let t be q(4). Suppose t = 5*m + 3*u - 9, -u + 4 = m + 3. Which is bigger: m or 14?
14
Let v = 14 - -1. Suppose 5*q = -4*y - 45, -4*q - y - v = -2*q. Is 0.3 less than q?
False
Suppose 4*z + 5*v = -21 - 59, -5*v - 105 = 5*z. Which is smaller: -22 or z?
z
Suppose 44*o - 57*o - 2457 = 0. Is -189 bigger than o?
False
Let p = 1497 + -76351/51. Let m = p - 26/969. Which is bigger: m or 1?
1
Suppose 24*k - 16 = 22*k. Let p be 11*(1 - 0) - -1. Is k at most p?
True
Let o be (2 - 2)/(0 + 2). Let r = 36 - 19. Which is smaller: r or o?
o
Let l(w) = 46*w + 4. Let v be l(-8). Let q be (-4 + v/12)*-3. Which is smaller: 104 or q?
q
Let f = 43 - 43. Let n be -2 + 15*(-6)/9. Let j be (-10)/(-6)*n/44. Which is smaller: j or f?
j
Suppose -5*c = -5*n - 30, -5*c + 2*n + 20 = -n. Let h(s) be the third derivative of s**4/6 + s**3/6 - 17*s**2. Let f be h(c). Which is bigger: 4 or f?
f
Suppose 3*g - 3*a = -9, -a + 18 = 4*g + 10. Which is smaller: 2/4971 or g?
2/4971
Let p = -29840 - -746103/25. Which is greater: 3 or p?
p
Let i = 196 - 133. Let o = i - 66. Which is bigger: o or -1?
-1
Suppose 0 = 3*s + 3*h + 21, 7 = -5*s + 2*h - 56. Is -75/7 > s?
True
Let n be ((-4)/(-10))/((-9)/(-945)). Let j be n/6 - (-4)/(-1). Suppose -9 = 3*h + 5*l, 5*h + j = -5*l - 2. Is h equal to -0.2?
False
Let j = -389.7 + 386. Do j and 1/3 have different values?
True
Suppose 5*i = 161 + 69. Is 47 less than i?
False
Let j = -29.85112 + 0.02112. Let t = -30 - j. Let q = -0.07 - t. Is -0.08 at most as big as q?
True
Let o be -2 + 2 - (-6)/24. Suppose l - 4*c + 4 = 0, 72 - 15 = 2*l + 5*c. Let y be 4/(-16) + 20/l. Does y = o?
False
Let f be (-3)/5*(-7)/84*4. Suppose 0 = 2*r - 7*r - | {
"pile_set_name": "DM Mathematics"
} |
ainder when 429 is divided by 127?
48
What is the remainder when 1580 is divided by 75?
5
What is the remainder when 281 is divided by 1?
0
What is the remainder when 5659 is divided by 149?
146
Calculate the remainder when 36 is divided by 5.
1
What is the remainder when 527 is divided by 10?
7
What is the remainder when 20926 is divided by 13?
9
Calculate the remainder when 172 is divided by 28.
4
What is the remainder when 846 is divided by 34?
30
What is the remainder when 657 is divided by 2?
1
What is the remainder when 85 is divided by 31?
23
Calculate the remainder when 262 is divided by 79.
25
What is the remainder when 63 is divided by 5?
3
What is the remainder when 1875 is divided by 623?
6
What is the remainder when 277 is divided by 13?
4
Calculate the remainder when 967 is divided by 41.
24
Calculate the remainder when 2335 is divided by 14.
11
What is the remainder when 659 is divided by 43?
14
Calculate the remainder when 162 is divided by 42.
36
Calculate the remainder when 81 is divided by 43.
38
What is the remainder when 2429 is divided by 9?
8
What is the remainder when 114 is divided by 69?
45
What is the remainder when 470 is divided by 81?
65
What is the remainder when 86 is divided by 8?
6
Calculate the remainder when 456 is divided by 271.
185
Calculate the remainder when 6044 is divided by 242.
236
Calculate the remainder when 87 is divided by 44.
43
What is the remainder when 138 is divided by 7?
5
Calculate the remainder when 93 is divided by 31.
0
What is the remainder when 74 is divided by 21?
11
Calculate the remainder when 6199 is divided by 17.
11
Calculate the remainder when 185 is divided by 17.
15
What is the remainder when 55 is divided by 27?
1
Calculate the remainder when 145 is divided by 9.
1
What is the remainder when 123 is divided by 63?
60
What is the remainder when 160 is divided by 24?
16
Calculate the remainder when 438 is divided by 49.
46
What is the remainder when 1846 is divided by 202?
28
What is the remainder when 153 is divided by 33?
21
Calculate the remainder when 1135 is divided by 37.
25
Calculate the remainder when 103 is divided by 40.
23
Calculate the remainder when 178 is divided by 91.
87
What is the remainder when 661 is divided by 261?
139
What is the remainder when 435 is divided by 21?
15
What is the remainder when 57 is divided by 23?
11
Calculate the remainder when 10632 is divided by 49.
48
Calculate the remainder when 62 is divided by 43.
19
What is the remainder when 80 is divided by 13?
2
What is the remainder when 3362 is divided by 34?
30
Calculate the remainder when 128 is divided by 26.
24
What is the remainder when 47 is divided by 13?
8
Calculate the remainder when 50 is divided by 18.
14
What is the remainder when 302 is divided by 9?
5
Calculate the remainder when 255 is divided by 31.
7
What is the remainder when 1735 is divided by 1727?
8
Calculate the remainder when 94 is divided by 9.
4
What is the remainder when 20 is divided by 3?
2
What is the remainder when 429 is divided by 141?
6
What is the remainder when 89 is divided by 31?
27
What is the remainder when 660 is divided by 656?
4
What is the remainder when 245 is divided by 19?
17
Calculate the remainder when 208 is divided by 71.
66
What is the remainder when 118 is divided by 38?
4
Calculate the remainder when 2980 is divided by 37.
20
Calculate the remainder when 342 is divided by 27.
18
Calculate the remainder when 516 is divided by 179.
158
What is the remainder when 101 is divided by 24?
5
What is the remainder when 3001 is divided by 13?
11
Calculate the remainder when 318 is divided by 29.
28
What is the remainder when 239 is divided by 42?
29
What is the remainder when 2479 is divided by 65?
9
Calculate the remainder when 378 is divided by 139.
100
What is the remainder when 148 is divided by 15?
13
What is the remainder when 271 is divided by 11?
7
What is the remainder when 81 is divided by 39?
3
Calculate the remainder when 38 is divided by 27.
11
What is the remainder when 982 is divided by 34?
30
What is the remainder when 1938 is divided by 24?
18
Calculate the remainder when 1527 is divided by 90.
87
What is the remainder when 1793 is divided by 36?
29
Calculate the remainder when 202 is divided by 6.
4
What is the remainder when 285 is divided by 219?
66
What is the remainder when 2130 is divided by 97?
93
What is the remainder when 12257 is divided by 27?
26
What is the remainder when 1285 is divided by 320?
5
What is the remainder when 94 is divided by 21?
10
What is the remainder when 426 is divided by 91?
62
What is the remainder when 109 is divided by 14?
11
Calculate the remainder when 4157 is divided by 13.
10
Calculate the remainder when 97 is divided by 33.
31
Calculate the remainder when 82 is divided by 42.
40
What is the remainder when 139 is divided by 21?
13
What is the remainder when 290 is divided by 94?
8
Calculate the remainder when 268 is divided by 82.
22
Calculate the remainder when 2751 is divided by 81.
78
What is the remainder when 70 is divided by 18?
16
What is the remainder when 66 is divided by 40?
26
Calculate the remainder when 505 is divided by 87.
70
Calculate the remainder when 532 is divided by 68.
56
Calculate the remainder when 2476 is divided by 305.
36
What is the remainder when 363 is divided by 87?
15
What is the remainder when 36106 is divided by 23?
19
What is the remainder when 6172 is divided by 69?
31
Calculate the remainder when 226 is divided by 21.
16
What is the remainder when 2222 is divided by 25?
22
Calculate the remainder when 535 is divided by 298.
237
What is the remainder when 112 is divided by 58?
54
What is the remainder when 891 is divided by 886?
5
What is the remainder when 1024 is divided by 204?
4
Calculate the remainder when 207 is divided by 16.
15
Calculate the remainder when 4072 is divided by 163.
160
What is the remainder when 307 is divided by 11?
10
What is the remainder when 342 is divided by 35?
27
Calculate the remainder when 142 is divided by 43.
13
Calculate the remainder when 2122 is divided by 2121.
1
Calculate the remainder when 1330 is divided by 23.
19
Calculate the remainder when 1057 is divided by 1048.
9
Calculate the remainder when 357 is divided by 158.
41
Calculate the remainder when 247 is divided by 25.
22
Calculate the remainder when 409 is divided by 51.
1
What is the remainder when 30 is divided by 20?
10
What is the remainder when 791 is divided by 18?
17
What is the remainder when 171 is divided by 60?
51
What is the remainder when 175 is divided by 26?
19
What is the remainder when 1370 is divided by 650?
70
What is the remainder when 127 is divided by 26?
23
Calculate the remainder when 287 is divided by 262.
25
What is the remainder when 335 is divided by 173?
162
What is the remainder when 10072 is divided by 31?
28
Calculate the remainder when 299 is divided by 109.
81
Calculate the remainder when 664 is divided by 45.
34
Calculate the remainder when 162 is divided by 44.
30
What is the remainder when 5716 is divided by 65?
61
What is the remainder when 185 is divided by 164?
21
What is the remainder when 568 is divided by 147?
127
Calculate the remainder when 441 is divided by 56.
49
What is the remainder when 16968 is divided by 23?
17
What is the remainder when 60 is divided by 15?
0
What is the remainder when 775 is divided by 10?
5
Calculate the remainder when 259 is divided by 53.
47
What is the remainder when 1295 is divided by 20?
15
What is the remainder when 1139 is divided by 234?
203
Calculate the remainder when 548 is divided by 19.
16
Calculate the remainder when 3804 is divided by 141.
138
Calculate the remainder when 194 is divided by 5.
4
What is the remainder when 295 is divided by 130?
35
Calculate the remainder when 100 is divided by 72.
28
Calculate the remainder when 350 is divided by 35.
0
What is the remainder when 675 is divided by 115?
100
Calculate the remainder when 114 is divided by 47.
20
What is the remainder when 1063 is divided by 163?
85
Calculate the remainder when 263 is divided by 44.
43
Calculate the remainder when 116 is divided by 26.
12
Calculate the remainder when 1119 is divided by 1114.
5
What is the remainder when 974 is divided by 48?
1 | {
"pile_set_name": "DM Mathematics"
} |
14
What is the g'th term of 77820, 77823, 77836, 77865, 77916, 77995, 78108?
g**3 - g**2 - g + 77821
What is the s'th term of -8012415, -8012416, -8012417, -8012418, -8012419, -8012420?
-s - 8012414
What is the j'th term of -1426, -1314, -1158, -982, -810, -666, -574, -558?
-4*j**3 + 46*j**2 + 2*j - 1470
What is the h'th term of -2143, -17145, -57845, -137089, -267723?
-2141*h**3 - 3*h**2 - 6*h + 7
What is the d'th term of 2233, 2226, 2209, 2176, 2121, 2038, 1921, 1764?
-d**3 + d**2 - 3*d + 2236
What is the v'th term of 2601, 2605, 2621, 2655, 2713?
v**3 - 3*v + 2603
What is the g'th term of 8164, 8159, 8152, 8143, 8132, 8119?
-g**2 - 2*g + 8167
What is the o'th term of -641, -2543, -5703, -10121?
-629*o**2 - 15*o + 3
What is the s'th term of -5, -108, -305, -596, -981?
-47*s**2 + 38*s + 4
What is the n'th term of 5890, 5951, 6112, 6421, 6926, 7675?
8*n**3 + 2*n**2 - n + 5881
What is the f'th term of -387, -359, -315, -249, -155, -27?
f**3 + 2*f**2 + 15*f - 405
What is the n'th term of -2045, -2051, -2059, -2069, -2081?
-n**2 - 3*n - 2041
What is the u'th term of 46087, 46093, 46095, 46087, 46063, 46017, 45943?
-u**3 + 4*u**2 + u + 46083
What is the t'th term of -132561, -132562, -132563, -132564, -132565, -132566?
-t - 132560
What is the s'th term of -1013, -974, -909, -818, -701?
13*s**2 - 1026
What is the u'th term of 247023, 247019, 247015, 247011, 247007, 247003?
-4*u + 247027
What is the g'th term of 1465640, 1465642, 1465644?
2*g + 1465638
What is the q'th term of -504, -1002, -1496, -1986, -2472?
2*q**2 - 504*q - 2
What is the b'th term of -1310, -2567, -3824, -5081, -6338?
-1257*b - 53
What is the y'th term of 762, 126, -510, -1146?
-636*y + 1398
What is the y'th term of -3534, -14124, -31772, -56478, -88242?
-3529*y**2 - 3*y - 2
What is the c'th term of 5889, 5887, 5885, 5883?
-2*c + 5891
What is the i'th term of -29580, -59156, -88732, -118308, -147884?
-29576*i - 4
What is the b'th term of 657802, 657802, 657800, 657796, 657790, 657782, 657772?
-b**2 + 3*b + 657800
What is the f'th term of 226, 477, 720, 949, 1158, 1341, 1492?
-f**3 + 2*f**2 + 252*f - 27
What is the j'th term of -36190, -36186, -36178, -36166?
2*j**2 - 2*j - 36190
What is the v'th term of -48777, -48775, -48773, -48771, -48769, -48767?
2*v - 48779
What is the y'th term of 13383, 13393, 13403?
10*y + 13373
What is the l'th term of 52, 80, 50, -74, -328?
-6*l**3 + 7*l**2 + 49*l + 2
What is the h'th term of 154120, 308228, 462336?
154108*h + 12
What is the m'th term of 86872, 173741, 260606, 347467, 434324?
-2*m**2 + 86875*m - 1
What is the l'th term of 150, 266, 406, 570, 758, 970, 1206?
12*l**2 + 80*l + 58
What is the t'th term of -495, -974, -1443, -1902, -2351, -2790?
5*t**2 - 494*t - 6
What is the t'th term of -13, -90, -171, -256, -345, -438?
-2*t**2 - 71*t + 60
What is the t'th term of 10721, 10694, 10667, 10640?
-27*t + 10748
What is the n'th term of -17002, -17005, -17008, -17011?
-3*n - 16999
What is the h'th term of -740, -1510, -2280, -3050, -3820?
-770*h + 30
What is the j'th term of 1384, 1492, 1588, 1666, 1720, 1744, 1732?
-j**3 + 115*j + 1270
What is the i'th term of 41556, 41644, 41734, 41826, 41920, 42016?
i**2 + 85*i + 41470
What is the w'th term of -286, -384, -678, -1276, -2286, -3816, -5974, -8868?
-18*w**3 + 10*w**2 - 2*w - 276
What is the w'th term of -8873, -9150, -9919, -11426, -13917, -17638, -22835?
-41*w**3 + 10*w - 8842
What is the x'th term of -102, -350, -878, -1824, -3326?
-23*x**3 - 2*x**2 - 81*x + 4
What is the a'th term of 193, 742, 1661, 2956, 4633, 6698?
a**3 + 179*a**2 + 5*a + 8
What is the x'th term of 206, 183, 160, 137, 114, 91?
-23*x + 229
What is the l'th term of 1120, 1786, 2454, 3124?
l**2 + 663*l + 456
What is the u'th term of -731, -5796, -19539, -46298, -90411?
-723*u**3 - u**2 - u - 6
What is the z'th term of 9350, 18705, 28060?
9355*z - 5
What is the x'th term of -6354, -6354, -6350, -6342, -6330, -6314, -6294?
2*x**2 - 6*x - 6350
What is the q'th term of -4619, -4612, -4605, -4598?
7*q - 4626
What is the b'th term of 6, -18, -60, -120?
-9*b**2 + 3*b + 12
What is the l'th term of -1593, -1602, -1623, -1662, -1725?
-l**3 - 2*l - 1590
What is the v'th term of -29404, -58803, -88200, -117595?
v**2 - 29402*v - 3
What is the m'th term of 74281, 148561, 222841?
74280*m + 1
What is the h'th term of -2348, -3363, -4378?
-1015*h - 1333
What is the m'th term of 248, 283, 318, 353, 388?
35*m + 213
What is the x'th term of 159041, 159045, 159049, 159053, 159057?
4*x + 159037
What is the n'th term of 889, 940, 993, 1048, 1105?
n**2 + 48*n + 840
What is the v'th term of 1618, 6097, 13562, 24013, 37450, 53873?
1493*v**2 + 125
What is the l'th term of -70197, -70195, -70183, -70155, -70105, -70027, -69915, -69763?
l**3 - l**2 - 2*l - 70195
What is the x'th term of 203, 2266, 7903, 18902, 37051?
298*x**3 - x**2 - 20*x - 74
What is the b'th term of -286, 128, 818, 1784, 3026?
138*b**2 - 424
What is the s'th term of 1643430, 1643425, 1643422, 1643421, 1643422?
s**2 - 8*s + 1643437
What is the n'th term of -75, -261, -555, -957, -1467, -2085?
-54*n**2 - 24*n + 3
What is the y'th term of -1436, -1457, -1502, -1583, -1712, -1901, -2162?
-2*y**3 - 7*y - 1427
What is the c'th term of 9661, 9663, 9665, 9667?
2*c + 9659
What is the i'th term of 308196, 308194, 308190, 308184, 308176, 308166?
-i**2 + i + 308196
What is the c'th term of 21009, 21025, 21059, 21117, 21205, 21329?
c**3 + 3*c**2 + 21005
What is the h'th term of -212, -429, -660, -911, -1188, -1497, -1844, -2235?
-h**3 - h**2 - 207*h - 3
What is the h'th term of 2163, 8636, 19421, 34518, 53927, 77648?
2156*h**2 + 5*h + 2
What is the i'th term of -216083, -216087, -216091, -216095?
-4*i - 216079
What is the i'th term of 34, -4, -66, -152?
-12*i**2 - 2*i + 48
What is the r'th term of 185446, 370895, 556348, 741805, 927266?
2*r**2 + 185443*r + 1
What is the x'th term of -144304, -144324, -144364, -144430, -144528, -144664, -144844?
-x**3 - 4*x**2 - x - 144298
What is the m'th term of 3936847, 7873694, 11810541, 15747388, 19684235?
3936847*m
What is the d'th term of -25004, -25019, -25036, -25055?
-d**2 - 12*d - 24991
What is the j'th term of 304181, 304189, 304199, 304211, 304225?
j**2 + 5*j + 304175
What is the m'th term of 3656, 7314, 10972, 14630?
3658*m - 2
What is the a'th term of 32676, 65349, 98008, 130647, 163260, 195841?
-a**3 - a**2 + 32683*a - 5
What is the j'th term of 609, 1208, 1807?
599*j + 10
What is the l'th term of 65081, 130202, 195323, 260444, 325565?
65121*l - 40
What is the f'th term of 96, 131, 170, 213, 260, 311, 366?
2*f**2 + 29*f + 65
What is the f'th term of 30, 650, 2348, 5664, 11138?
90*f**3 - f**2 - 7*f - 52
What is the h'th term of 23373, 23376, 23381, 23388, 23397, 23408, 23421?
h**2 + 23372
What is the p'th term of 2240, 4394, 6546, 8696, 10844, 12990?
-p**2 + 2157*p + 84
What is the k'th term of 6528, 26153, 58870, 104679, 163580?
6546*k**2 - 13*k - 5
What is the g'th term of 183509, 367018, 550529, 734042, 917557, 1101074?
g**2 + 183506*g + 2
What is the l'th term of 13599, 13600, 13603, 13608, 13615?
l**2 - 2*l + 13600
What is the c'th term of 140447, 140448, 140449, 140450?
c + 140446
What is the d'th term of 8, -80, -198, -352, -548?
-d**3 - 9*d**2 - 54*d + 72
What is the n'th term of 460, 444, 400, 322, 204, 40?
-n**3 - 8*n**2 + 15*n + 454
What is the q'th term of -13574, -54258, -122056, -216962, -338970, -488074?
q**3 - 13563*q**2 - 2*q - 10
What is the p'th term of -1871425, -3742847, -5614269, -7485691, -9357113?
-1871422*p - 3
What is the t'th term of -68126, -68113, -68098, -68081, -68062, -68041?
t**2 + 10*t - 68137
What is the o'th term of -1480558, -1480563, -1480572, -1480585, -1480602, -1480623, -1480648?
-2*o**2 + o - 1480557
What is the s'th term of 5407799, 5407798, 5407797?
-s + 5407800
What is the a'th term of -1555, -5531, -12149, -21403, -33287, -47795?
a**3 - 1327*a**2 - 2*a - 227
What is the c'th term of 62, 286, 664, 1190, 1858, 2662, 3596, 4654?
-c**3 + 83*c**2 - 18*c - 2
What is the c'th term of -1546, -1464, -1352, -1210, -1038, -836?
15*c**2 + 37*c - 1598
What is the f'th term of 180, 186, 202, 234, 288, 370, 486, 642?
f**3 - f**2 + 2*f + 178
What is the a'th term of 83, 265, 455, 653, 859, 1073, 1295?
4*a**2 + 170*a - | {
"pile_set_name": "DM Mathematics"
} |
10111001011?
-1101010010111000110
In base 14, what is -7 + 13c27?
13c20
In base 12, what is -5818 + -b?
-5827
In base 9, what is -23446 + -3?
-23450
In base 3, what is -111000102122 + -200?
-111000110022
In base 6, what is 3203 - -2004?
5211
In base 4, what is -11 - 3302233?
-3302310
In base 12, what is 118a7 + b?
118b6
In base 10, what is 45532 - 1?
45531
In base 15, what is 2 + -32121?
-3211e
In base 6, what is -433100 - -1?
-433055
In base 8, what is 1 + 164613?
164614
In base 9, what is 5 + -3343?
-3337
In base 5, what is 2 - -1234401?
1234403
In base 6, what is 512 + -33234?
-32322
In base 2, what is 101000000110100001 + -11?
101000000110011110
In base 11, what is -10 - -61191?
61181
In base 7, what is 12 + 1222?
1234
In base 5, what is 0 - -22312?
22312
In base 9, what is 0 - -34366?
34366
In base 9, what is -65005 - 3?
-65008
In base 12, what is -2 - 334893?
-334895
In base 8, what is 10 + 16565?
16575
In base 9, what is -864 + -362?
-1336
In base 3, what is 102200200 - -101022?
110001222
In base 2, what is 10110000 + 1000001010?
1010111010
In base 6, what is 13 + 201352?
201405
In base 4, what is 3 + -1031232?
-1031223
In base 15, what is -2 + -54b4?
-54b6
In base 14, what is 1 - -78a2?
78a3
In base 2, what is -11000001001000011 + -11?
-11000001001000110
In base 4, what is -101313233 + 13?
-101313220
In base 13, what is 5 + 27313?
27318
In base 13, what is 6c - -a33?
aa2
In base 10, what is -229 - -13142?
12913
In base 3, what is -1021 - -20220102?
20212011
In base 10, what is 1682 + 379?
2061
In base 15, what is 50 + -3536?
-34d6
In base 10, what is -244 + 4?
-240
In base 12, what is -1a5 + -144?
-329
In base 10, what is 122 + -523?
-401
In base 11, what is 4 - 682a68?
-682a64
In base 12, what is 15 - 459a?
-4585
In base 8, what is -10 + 23707?
23677
In base 2, what is 1010 + 10010110000111100?
10010110001000110
In base 13, what is 4 - 67c?
-678
In base 16, what is -12ac5 - -27?
-12a9e
In base 15, what is -2b - -1b69?
1b3d
In base 6, what is 232023511 + -2?
232023505
In base 15, what is -d + 1151?
1143
In base 10, what is -733191 - 1?
-733192
In base 10, what is 2 + -16057?
-16055
In base 4, what is -12202301 + -11?
-12202312
In base 8, what is 4 - 22574?
-22570
In base 7, what is -1204154 + 30?
-1204124
In base 16, what is 364f - 3?
364c
In base 13, what is 119 - -17bc?
1908
In base 14, what is 2 - 7c566?
-7c564
In base 4, what is -311 + -331?
-1302
In base 6, what is -10031545 + 2?
-10031543
In base 11, what is 1 - 83433?
-83432
In base 13, what is -2597c - -3?
-25979
In base 2, what is -11011 - 110001110101000?
-110001111000011
In base 9, what is 4 - -27861?
27865
In base 5, what is 3423 + 110010?
113433
In base 2, what is 1011101100 + 111101?
1100101001
In base 13, what is 4a - -3bc?
439
In base 16, what is 2 - -5ae9?
5aeb
In base 13, what is a500 - 71?
a45c
In base 15, what is -1117b + 0?
-1117b
In base 7, what is -3 + -4303505?
-4303511
In base 5, what is -10 + -1332002?
-1332012
In base 12, what is 4 - 194a7?
-194a3
In base 14, what is 10a66 - -2?
10a68
In base 11, what is -660112 - -1?
-660111
In base 10, what is 35161 + 0?
35161
In base 8, what is -5 + -266370?
-266375
In base 12, what is -66392 - -2?
-66390
In base 11, what is -8 - -7778?
7770
In base 16, what is 1 - 2cce7?
-2cce6
In base 10, what is -4 + -41611?
-41615
In base 13, what is -1762 - 3?
-1765
In base 14, what is 22c7 + -2?
22c5
In base 3, what is 221121100 + -10010?
221111020
In base 15, what is 55 - 3d01?
-3c9b
In base 2, what is -1101000011101 - -101?
-1101000011000
In base 7, what is 541 - 16565?
-16024
In base 7, what is -32114634 + 3?
-32114631
In base 14, what is -104b7 - 5?
-104bc
In base 9, what is 144 - -55?
210
In base 6, what is -425 + -2405?
-3234
In base 5, what is -1043034103 + -3?
-1043034111
In base 7, what is 114 - -40315?
40432
In base 14, what is 13 - bbb?
-ba8
In base 9, what is 265 - -553?
828
In base 14, what is -54401 - 4?
-54405
In base 3, what is 201102111221 + 0?
201102111221
In base 3, what is -220220 - -220?
-220000
In base 15, what is -18b - -7?
-184
In base 11, what is -24825 + -11?
-24836
In base 15, what is -14592 + -4?
-14596
In base 13, what is -559 + -3b?
-597
In base 8, what is 2 + -247274?
-247272
In base 11, what is -256 + -1818?
-1a73
In base 13, what is -51 + -2c?
-80
In base 7, what is 15602 + 302?
16204
In base 5, what is -3 - 342234?
-342242
In base 2, what is -1110 - -10100110?
10011000
In base 13, what is -8ba2c - -2?
-8ba2a
In base 14, what is 9a - -40?
da
In base 3, what is 2 - -220211211120?
220211211122
In base 2, what is -1100110 + -101000010?
-110101000
In base 11, what is -53 + 24034?
23a91
In base 14, what is -122c + -a9?
-12d7
In base 15, what is -ecc + 0?
-ecc
In base 11, what is -9562 + 2?
-9560
In base 6, what is -22143511 + 4?
-22143503
In base 10, what is 1897 + 5?
1902
In base 9, what is 5 - -2087?
2103
In base 10, what is 8280 + 4?
8284
In base 7, what is -14550 - 5?
-14555
In base 12, what is 2 - 118144?
-118142
In base 15, what is 6399 + -a0?
62e9
In base 4, what is -22223313021 + 2?
-22223313013
In base 7, what is 13004 - -4013?
20020
In base 2, what is -100 + -101000000010?
-101000000110
In base 5, what is -30434 + 202?
-30232
In base 2, what is -1100111001110010 - -1100?
-1100111001100110
In base 5, what is -41 - 23044?
-23140
In base 7, what is -222460 - -16?
-222441
In base 4, what is -1311303 + -11132?
-1323101
In base 2, what is -111000110001 + -1000?
-111000111001
In base 10, what is 90 - 157?
-67
In base 10, what is 2841526 + -5?
2841521
In base 8, what is 210 + -7211?
-7001
In base 11, what is 3 - 39555?
-39552
In base 16, what is 518 + -97?
481
In base 13, what is a1 + -1ba?
-119
In base 6, what is 2140 - -350?
2530
In base 11, what is -2 - -61154?
61152
In base 9, what is 163677 - 5?
163672
In base 14, what is -3 - a6?
-a9
In base 9, what is -7807324 - -1?
-7807323
In base 5, what is -3 - 142212?
-142220
In base 3, what is 1202 + 2002001?
2010210
In base 10, what is 10 - -8682?
8692
In base 7, what is 356 + -42505?
-42116
In base 16, what is -1878 + 4f?
-1829
In base 16, what is -45f50 + -5?
-45f55
In base 9, what is 22713 + 6?
22720
In base 9, what is -1323507 + 4?
-1323503
In base 10, what is 11843 - 10?
11833
In base 10, what is 27734 + -2?
27732
In base 6, what is 11341 - -15?
11400
In base 9, what is 5 + -81477?
-81472
In base 16, what is -3e + 195?
157
In base 4, what is 30032 - -1112?
31210
In base 14, what is -2d - -11a7?
1178
In base 15, what is 5 + -1dbc?
-1db7
In base 12, what is 15b94 + 9?
15ba1
In base 3, what is -2 + -1120020?
-1120022
In base 13, what is 444 - 1a2?
272
In base 2, what is -100011 + 10101011000011000?
10101010111110101
In base 16, what is 6af - -14?
6c3
In base 12, what is -4 - -38bb7?
38bb3
In base 9, what is -363 + -18?
-382
In base 11, what is -4 - 349163?
-349167
In base 3, what is 11101111 + 12210?
11121021
In base 15, what is -188 - b5?
-24d
In base 10, what is 32 - 42194?
-42162
In base 4, what is 22221012 + -3?
22221003
In base 2, what is 101010000110100101 - -1010?
101010000110101111
In base 3, what is -101122002 + 1011?
-101120221
In base 6, what is -545 - 21243?
-22232
In base 11, what is -4 - -12267?
12263
In base 16, what is -13f09 - -3?
-13f06
In base 7, what is -6033321 + -4?
-6033325
In base 12, what is 20a - 5a94?
-5886
In base 10, what is -15395 + 7?
-15388
In base 13, what is 6 + -1457?
-1451
In base 3, what is 22020 - -100?
22120
In base 14, what is 99944 + c?
99952
In base 2, what is -11 + -1001010101110001?
-1001010101110100
In base 2, what is 10100011 - 1100000010000?
-1011101101101
In base 14, what is -623 - 0?
-623
In base 2, what is 11010 - -1110111100101?
1110111111111
In base 8, what is 105 - -2333?
2440
In base 5, what is -223002 + 1332?
-221120
In base 5, what is -41213 - -440?
-40223
In base 5, what is 3243310 + -14?
3243241
In base 15, what is -d4 - a74?
-b58
In base 5, what is 102 + 2232004?
2232111
In base 6, what is 10 + 10000421?
10000431
In base 3, what is 21020202200200 - -1?
21020202200201
In base 4, what is -120322 + 2223?
-112033
In base 2, what is -11001101111 - -10000?
-11001011111
In base 15, what is 2c72 + 6?
2c78
In base 11, what is -68493 - 5?
-68498
In base 11, what is -5 + 6485?
6480
In base 15, what is - | {
"pile_set_name": "DM Mathematics"
} |
l. Is t composite?
False
Let s(d) = -247*d + 10. Is s(-3) prime?
True
Let o = -2 + 1. Let b be o*10*2/4. Let h = 9 + b. Is h prime?
False
Let a(f) = -6*f + 11. Is a(-13) composite?
False
Suppose 132*w - 4143 = 129*w. Is w prime?
True
Suppose -g + 4*g = -2*r - 11, -5*r + 5*g = 40. Let j(k) = 9*k**2 + 3*k - 17. Is j(r) a prime number?
False
Let z be 0 + (-3)/(9/(-12)). Suppose 3 = -z*r - 13. Is ((-33)/(-6))/((-2)/r) composite?
False
Let u be (0 - 87/6)*-4. Suppose u = -3*k + 4*k. Is k composite?
True
Let i(g) = 80*g**2 + 2*g + 3. Let k be i(3). Let a = k + -390. Is a a composite number?
True
Suppose 3*z = m - 2*m + 1160, 0 = -m + 3*z + 1148. Is m a prime number?
False
Suppose 3*d - 2*y - y = -9, 3*y - 9 = -4*d. Suppose d = 4*r + r - 285. Is -2*(-1 + r/(-6)) a prime number?
False
Let j = -1118 + 630. Let z = 699 + j. Is z composite?
False
Let h be -1 - (-2 - (-6)/(-2)). Let x(g) = g**3 - 2*g**2 + 2*g - 3. Is x(h) composite?
False
Let c = -7 + 11. Suppose c*k = -2*z + 250, 3*k - 7*k - 4 = 0. Is z prime?
True
Suppose w - 291 = 392. Let b = w + -390. Is b prime?
True
Is 0 - (-3 - -2)*15 composite?
True
Let h(w) = 3*w**2 - 2*w - 1. Let o be h(-1). Suppose -5*d = 15, -o*q + d = 5*d + 16. Is 7 + 105 - (2 + q) prime?
False
Let a = -42 + 247. Is a prime?
False
Let h(c) = 468*c**3 + c**2 - 2*c + 2. Let v(f) = f**2 + 13*f + 13. Let d be v(-12). Is h(d) prime?
False
Suppose 5*a + 1 - 15 = -3*l, 2*a = l - 1. Is (0 + l - 3) + 23 prime?
True
Suppose 3*x - j - 9 = 2*j, x = -5*j - 27. Is (-148)/(-2)*x/(-4) a prime number?
True
Let g be (-6 - 0)*(-5)/15. Suppose -5*s + 202 = -4*u, 4*s = g*u - 0*u + 158. Is s a prime number?
False
Let c be ((-2)/3)/((-1)/6). Suppose 5*o + 399 = -4*p, -3*p - 5*o + c*o - 313 = 0. Let w = -57 - p. Is w a prime number?
False
Suppose -135 = -2*o + 155. Suppose 4*f = 3*f + o. Is f a prime number?
False
Let u be 0*2/8*2. Let s be -3*(1 + u - 0). Is (-35)/s - (-10)/(-15) a prime number?
True
Is 6/(-4)*(-222)/9 prime?
True
Let b(q) = 213*q + 1. Let g = 5 + -4. Let k be b(g). Suppose -6*v + 2*v = -2*y + k, -5*y + 475 = 2*v. Is y a composite number?
False
Let v(r) = -r**3 + 6*r**2 + 4*r - 6. Let c be v(5). Let u(a) = a**2 - 50. Let w be u(0). Let z = c - w. Is z a composite number?
False
Let o(c) = -c + 1. Let r be o(7). Let p(d) = -d + 13. Is p(r) a composite number?
False
Suppose -3*r - 293 = 3*z - 4*r, -4*r = -z - 94. Let h = z - -197. Let m = h - -20. Is m a prime number?
False
Suppose 4*c = 3*z + 11 + 779, 4*c = -8. Let b = -144 - z. Is b prime?
False
Let c(a) = 70*a**2 - a - 12. Is c(5) a prime number?
True
Let a = -1065 - -2152. Is a composite?
False
Suppose 0*l - 140 = 4*l. Let c = l - -66. Is c a prime number?
True
Let x = -4440 + 6593. Is x a prime number?
True
Let u = -18 - 13. Let l = -5 - u. Is l composite?
True
Let t = -6 - -24. Suppose 4*p - 170 = -t. Suppose 0 = -r + 5*i + p, 0 = -r - 3*i - 2*i + 68. Is r prime?
True
Let j(k) = 21*k**2 - 8*k + 4. Let h be j(5). Is ((-3)/(-9))/(1/h) a composite number?
False
Suppose 7 = 2*j - h - 1, 0 = -5*j + 4*h + 17. Suppose 3*a = -5*w - a + 205, 2*a = j*w - 175. Is w composite?
False
Let r(i) = 70*i - 1. Let k be r(1). Suppose 22 + k = q. Let y = -54 + q. Is y prime?
True
Suppose x - 377 - 438 = 4*p, -412 = 2*p + 4*x. Let o = 61 - p. Is o a composite number?
True
Let l be -6*(21/(-9) + 2). Suppose -2*b - 3*f = -167, 175 = 2*b + l*f + 9. Suppose -5*d + 103 = -b. Is d a prime number?
True
Let t be (2/1)/(6/216). Let c be t/20 + (-2)/(-5). Suppose 108 - 20 = c*b. Is b a prime number?
False
Let m(o) = 30*o**2 - o + 2. Let h be m(-2). Suppose 4*l + 4 = -5*i - 1, 0 = -l + i + 1. Suppose l = 4*x - h - 136. Is x composite?
True
Let t(s) = -s**3 + 5*s**2 - 4*s + 4. Let k be t(4). Suppose 0 = 5*j + r - 13 - 1, k*r + 4 = 0. Is (7/j)/((-1)/(-141)) prime?
False
Let z(n) be the first derivative of -55*n**4/4 + n**2/2 + n - 2. Let r = 1 + -2. Is z(r) prime?
False
Suppose k = -121 - 100. Let w = -58 - k. Is w a prime number?
True
Suppose -u - 3*t + 2 - 10 = 0, 0 = -2*u - 2*t. Let d(c) = 2*c**2 - c + 2. Let r be d(6). Suppose r = -u*k + 6*k. Is k composite?
True
Suppose -391 = -2*u - 5*w, 3*u + 2*w - 603 = -0*u. Is u composite?
True
Suppose 0 = m - 2*m. Suppose -7*v + 3*v + 340 = m. Is v a prime number?
False
Suppose 4*m - 2*m = 134. Is m a composite number?
False
Let x = 25 - -59. Suppose 5*s = 3*r + 104 + 1, 4*r = 4*s - x. Is s a composite number?
True
Let k(q) = q**2 + 3*q**3 + 3*q - 2*q**3 - 2 - 2*q. Let s be k(0). Is (s/3)/(12/(-234)) prime?
True
Is (-2)/(-4) + 11720/16 a composite number?
False
Suppose 3*k = 0, 2*m - 52 = 2*k - 4*k. Is m prime?
False
Is 6/4 + -2 + (-5038)/(-4) a composite number?
False
Let w(u) = u**3 + u + 1. Let l(g) = 3*g**3 + g + 331. Let c(s) = l(s) - 2*w(s). Is c(0) composite?
True
Suppose -8*v = -7*v - 1151. Is v prime?
True
Let t = -283 + 662. Is t a composite number?
False
Is (307*-1)/((5 - 4) + -2) a composite number?
False
Let m(t) = t**3 - 8*t**2 + 6*t + 7. Let b be m(7). Is 60 + (2 - (3 + b)) prime?
True
Let r(t) = 2*t**2 - 4*t + 6. Let a be r(7). Let k = a + -21. Is k a prime number?
False
Suppose 0 = 3*y + 298 - 2665. Let t = y + -38. Is t prime?
True
Let j(h) = 16*h - 2. Let b be j(4). Let v = b + 23. Is v a composite number?
True
Suppose 1746 = 11*c - 5*c. Is c a composite number?
True
Let u(g) = -112*g - 1. Let h be (-6)/((-3)/(-3) - -1). Is u(h) a composite number?
True
Let k(j) = -2*j**3 - 4*j**2 + 6*j + 7. Suppose 4*a = 2*a - 12. Is k(a) a composite number?
True
Is (-1032)/(-10) + (-2)/10 a composite number?
False
Let t be 485*1/3*-6. Let l be t/(-14) + 2/(-7). Let s = -34 + l. Is s a composite number?
True
Suppose 0 = -2*q + 4*q - 24. Let o be 39/q - (-2)/(-8). Suppose 152 = o*w - 49. Is w composite?
False
Suppose 3*h + 120 = 5*h. Is 62/3*h/8 composite?
True
Suppose 2*t + 2*t - 836 = 0. Suppose -3 - t = -4*v. Is v prime?
True
Let f(x) = -17*x**3 - x**2 - 18*x + 5. Is f(-5) a composite number?
True
Suppose 5*v - 4 = 26. Let w = -2 - -2. Suppose 4*p - 66 = 2*d, w = p + 3*d - 8*d + v. Is p a prime number?
True
Suppose 4*w - 219 = -667. Let x be w/(-20) - (-3)/(-5). Suppose d = 3*v + 25 + 67, 400 = x*d - 3*v. Is d a prime number?
False
Let j(y) = -y + 6. Let k be j(4). Suppose 0 = d + 7*g - k*g - 111, 2*d + 5*g = 222. Is d prime?
False
Let r = -23 - -321. Is r a composite number?
True
Let g(p) be the third derivative of -1/24*p**4 - 3*p**2 + 0*p + 0 + 5/2*p**3. Is g(0) prime?
False
Suppose -11*t - 335 = -12*t. Is t a composite number?
True
Is (3 - 1)/(4/70) composite?
True
Suppose -3*s - 110 = -2*o, -2*s + 3*s - 118 = -2*o. Suppose -o = -2*k - 8. Is k a prime number?
False
Suppose r = -r - 12. Let b(d) = 3*d**2 + 4*d + 5. Is b(r) a prime number?
True
Let l(h) = 314*h + 1. Is l(2) a composite number?
True
Let l(a) = -10*a - 2. Let d be (5/(-2) + 1)*2. Let u be l(d). Suppose 2*j = 5*f + u, -j = -2*j - 2*f + 23. Is j a composite number?
False
Suppose 0 = 5*g + 25, -5*w + 0*w + 5*g = -8490. Is w prime?
True
Suppose 5*k + 143 = 2*i + 26, i - 56 = 3*k. Is i a prime number?
True
Let n = -1942 + 3539. Is n composite?
False
Let i(z) = z**3 - 7*z**2 + 7*z - 3. Let k be i(6). Suppose 436 = a + k*a. Is a a prime number?
True
Let q(k) = -k + 3. Let y be q(0). Suppose -y*b - 166 = -5*b. Let h = b - -44. Is h a composite number?
False
Let m = -2 + 6. Suppose m*h - 97 = 115. Is h composite?
False
Is ((-104)/16)/(2/(-28)) a prime number?
False
Is (-115)/46*(-2994)/5 composite?
True
Let k(y) = 6*y - 3*y**3 - 2 - 4*y + 0 + 3 - 2*y**2. Let q(p) = -p**3 - 4*p**2 + 6*p + 3. Let c be q(-5). Is k(c) a prime number?
True
Suppose 20 = 3*z + z - p, -3*p + 12 = 0. Suppose -z*b + 1085 = -b. Suppose -5*m + 0*q + q + 264 = 0, 5*q = -4*m + b. Is m prime?
True
Suppose 4*c + 1069 = 4*b - 2563, 3617 = 4*b + c. Is b a composite number?
True
Suppose 0 = 3*z - 3 - 3. Let m be (-24)/20*(-5)/z. Suppose -d - 46 = -m*d. Is d composite?
False
Let x(g) = -g**3 + 9*g**2 + 2*g - 13. Let m be x(9). Suppose m*q - 813 = 2*k, -3*q + 2*k + 600 = 113. Is q composite?
False
Let l = 1556 - 1015. Is l prime?
True
Let u = 402 - 191. Is u a prime number?
True
Let i = -104 + 54. Let y = 97 + i. Is y a composite number?
False
Suppose -2*k = -0*k - 10. Let i(q) = -2 - 8*q + 4 - k. Is i(-5) a prime number?
True
Is (191/( | {
"pile_set_name": "DM Mathematics"
} |
that -20*u**2/9 - 65932*u/9 - 13184/3 = 0.
-3296, -3/5
Solve 12*d**2 - 240279*d + 60069 = 0.
1/4, 20023
Factor x**3/9 - 3259*x**2/9 + 4340*x/3.
x*(x - 3255)*(x - 4)/9
Let 15*o**5 - 477*o**4 + 2847*o**3 + 4425*o**2 - 1674*o - 2760 = 0. What is o?
-1, 4/5, 10, 23
Suppose h**4/5 - 782*h**3/5 + 4629*h**2 + 101996*h/5 + 21028 = 0. What is h?
-2, 35, 751
Solve -5*w**2 - 330240*w - 5452922880 = 0 for w.
-33024
What is j in 10*j**3/13 - 258*j**2/13 - 960*j/13 + 928/13 = 0?
-4, 4/5, 29
Find t, given that 40*t**5 - 875*t**4 - 27310*t**3 - 162520*t**2 - 152730*t - 16605 = 0.
-9, -1, -1/8, 41
Factor a**3 + 450*a**2 - 3207*a - 3656.
(a - 8)*(a + 1)*(a + 457)
Determine r, given that -2*r**4 - 6460*r**3 - 32234*r**2 + 51696*r + 309600 = 0.
-3225, -4, 3
Let 1257*b**2/5 - 1179*b/5 - 78/5 = 0. Calculate b.
-26/419, 1
Suppose 2*f**2/5 - 4036*f/5 + 4026 = 0. Calculate f.
5, 2013
Solve -9*v**4/2 + 244*v**3 - 2484*v**2 + 7344*v - 1512 = 0.
2/9, 6, 42
Factor l**4 - 512*l**3 - 3108*l**2 - 32*l + 16576.
(l - 518)*(l - 2)*(l + 4)**2
Let -13*j**5/6 + 3431*j**4/3 - 99161*j**3/6 + 38974*j**2/3 + 2394*j = 0. Calculate j.
-2/13, 0, 1, 14, 513
Let 3*z**4 - 17883*z**3 + 35279631*z**2 - 22522505625*z - 1009512756126 = 0. Calculate z.
-42, 2001
Factor 5*j**4 - 805*j**3 - 10380*j**2.
5*j**2*(j - 173)*(j + 12)
Determine g so that 2*g**4 - 476*g**3 + 37752*g**2 - 1048420*g + 4356550 = 0.
5, 55, 89
Solve 5*v**4 + 105*v**3 + 600*v**2 + 140*v - 3600 = 0.
-10, -9, -4, 2
Solve 4*d**5 + 11436*d**4 + 79924*d**3 + 194004*d**2 + 193960*d + 68448 = 0.
-2852, -3, -2, -1
Factor 2*x**3 + 1138*x**2 + 210910*x + 12804974.
2*(x + 161)**2*(x + 247)
Let -12*q**5 + 2266*q**4 - 8562*q**3 + 9634*q**2 - 2586*q - 740 = 0. Calculate q.
-1/6, 1, 2, 185
Suppose -3*d**2 - 960*d - 7488 = 0. What is d?
-312, -8
Factor 2*s**2/7 + 68790*s/7.
2*s*(s + 34395)/7
Solve -2*i**3/9 - 2732*i**2/9 + 24794*i/9 + 60500/9 = 0.
-1375, -2, 11
Factor -3*w**3 - 3369*w**2 - 1068408*w - 104019984.
-3*(w + 228)**2*(w + 667)
Let 12*x**4 + 1353*x**3 - 1018*x**2/3 - 113*x/3 = 0. Calculate x.
-113, -1/12, 0, 1/3
Factor 6*r**3 - 1153*r**2 + 1338*r - 191.
(r - 191)*(r - 1)*(6*r - 1)
Find s, given that 9*s**4 + 1599*s**3 + 2640*s**2 = 0.
-176, -5/3, 0
Solve q**4/3 + 3*q**3 - 238*q**2/3 + 340*q - 264 = 0 for q.
-22, 1, 6
Suppose 4*a**2/3 + 2708*a/3 + 12376 = 0. What is a?
-663, -14
Let 4*g**4 - 9444*g**3 + 122096*g**2 = 0. Calculate g.
0, 13, 2348
Let -3*v**4/4 - 39*v**3/2 + 51*v**2 + 1503*v/2 - 8505/4 = 0. What is v?
-27, -7, 3, 5
Suppose 3*o**2/4 - 150903*o/2 + 7590571803/4 = 0. Calculate o.
50301
Let -3*y**4 + 81*y**3 + 519*y**2 - 1269*y + 672 = 0. What is y?
-7, 1, 32
Determine s, given that 2*s**2/9 + 11464*s/9 + 11462/9 = 0.
-5731, -1
Determine m, given that 2*m**4 - 154*m**3 + 4116*m**2 - 46648*m + 192080 = 0.
14, 35
Solve z**5/10 - 15*z**4/2 + 911*z**3/10 - 3553*z**2/10 + 2334*z/5 - 976/5 = 0 for z.
1, 4, 8, 61
Factor 3*x**3/2 - 1845*x**2/2 + 18831*x - 71280.
3*(x - 594)*(x - 16)*(x - 5)/2
What is y in -4*y**3/7 - 88*y**2 + 127300*y/7 + 127912/7 = 0?
-271, -1, 118
Factor d**2/4 - 169*d/2 - 52095/4.
(d - 453)*(d + 115)/4
Let -80*l**5 + 8332*l**4 - 289640*l**3 + 3374428*l**2 - 470960*l - 333200 = 0. Calculate l.
-1/4, 2/5, 34, 35
What is p in 2*p**3/9 + 52*p**2/9 + 80*p/3 = 0?
-20, -6, 0
Factor 5*i**2 + 665*i - 670.
5*(i - 1)*(i + 134)
Determine j so that -2*j**3/5 + 9492*j**2/5 + 47522*j/5 - 57012/5 = 0.
-6, 1, 4751
Factor 2*a**5/7 - 1228*a**4/7 + 193346*a**3/7 - 1488336*a**2/7 + 2937888*a/7.
2*a*(a - 303)**2*(a - 4)**2/7
Factor 2*r**4 + 36*r**3 + 178*r**2 + 144*r.
2*r*(r + 1)*(r + 8)*(r + 9)
What is t in 25*t**4 + 920*t**3 - 4210*t**2 + 3880*t - 615 = 0?
-41, 1/5, 1, 3
Suppose 2*z**4/15 + 1218*z**3/5 - 18304*z**2/15 + 9768*z/5 - 14656/15 = 0. Calculate z.
-1832, 1, 2
Solve -5*r**2 + 11960*r - 47760 = 0 for r.
4, 2388
Suppose 50*w**5/11 + 27020*w**4/11 + 91452*w**3/11 + 87040*w**2/11 + 2246*w + 2148/11 = 0. Calculate w.
-537, -2, -1, -1/5
Find q such that 2*q**4/7 + 244*q**3/7 + 138*q**2/7 - 445544*q/7 + 6668552/7 = 0.
-83, 22
Factor q**3/3 - 94*q**2 + 7112*q/3.
q*(q - 254)*(q - 28)/3
Factor 45056*p**3 + 1070336*p**2 + 6258220*p - 1173512.
4*(11*p - 2)*(32*p + 383)**2
Suppose 2*d**3/3 - 2596*d**2/3 + 56386*d/3 - 308792/3 = 0. Calculate d.
11, 1276
Find v such that -v**4 + 937*v**3 + 3763*v**2 + 947*v - 5646 = 0.
-3, -2, 1, 941
Factor 4*q**3 - 1012*q**2 + 4976*q - 3968.
4*(q - 248)*(q - 4)*(q - 1)
Factor 5*p**3/2 + 380*p**2 + 4405*p/2 + 1825.
5*(p + 1)*(p + 5)*(p + 146)/2
Suppose 108900*m**5/7 - 48180*m**4/7 - 56216*m**3/7 - 5608*m**2/7 + 1140*m/7 - 36/7 = 0. What is m?
-1/3, 3/55, 1
Solve -4*z**3 - 1036*z**2 - 15612*z - 14580 = 0 for z.
-243, -15, -1
Find f such that 1922*f**4/19 + 323144*f**3/19 + 362646*f**2/19 + 42760*f/19 + 1336/19 = 0.
-167, -1, -2/31
Factor -3*g**2 - 199581*g.
-3*g*(g + 66527)
Suppose -115*j**2 - 21840*j + 1900 = 0. What is j?
-190, 2/23
Suppose 4*i**4 + 17848*i**3 - 17856*i**2 - 17848*i + 17852 = 0. What is i?
-4463, -1, 1
What is d in -4*d**4/3 + 42632*d**3/3 - 113592964*d**2/3 = 0?
0, 5329
Let -2*o**5 - 282*o**4 + 5342*o**3 - 4774*o**2 - 5340*o + 5056 = 0. What is o?
-158, -1, 1, 16
Determine u, given that -u**2/2 + 10819*u/2 - 5409 = 0.
1, 10818
What is k in -3*k**2 - 6507*k - 6504 = 0?
-2168, -1
Suppose 2*f**2 - 380248*f + 18073567688 = 0. Calculate f.
95062
Determine u so that 4*u**4/5 - 1472*u**3/5 + 106908*u**2/5 - 102512*u/5 - 210896/5 = 0.
-1, 2, 98, 269
Let -w**3/3 + 5368*w**2/3 - 1789*w = 0. What is w?
0, 1, 5367
Factor 4*k**2 + 1386192*k + 120095516304.
4*(k + 173274)**2
Let 3*v**2 + 14484*v - 101535 = 0. Calculate v.
-4835, 7
What is g in 2*g**2/13 + 92*g/13 - 118 = 0?
-59, 13
Factor -12*h**3/5 - 937480*h**2 - 457745703296*h/5 - 305161718912/5.
-4*(h + 195308)**2*(3*h + 2)/5
Factor 3*o**4 - 8100*o**3 - 56817*o**2 - 81210*o.
3*o*(o - 2707)*(o + 2)*(o + 5)
Solve -v**5/3 + 113*v**4/3 - 326*v**3/3 - 440*v**2/3 = 0.
-1, 0, 4, 110
Factor 3*u**3/5 + 39*u**2 + 918*u/5 + 216.
3*(u + 2)*(u + 3)*(u + 60)/5
Suppose 12*m**2 - 267*m/2 + 33/2 = 0. What is m?
1/8, 11
Solve v**5/2 - 1421*v**4/3 - 1897*v**3/6 + 158*v**2 = 0.
-1, 0, 1/3, 948
Determine f so that -24*f**5 + 13332*f**4 - 317250*f**3 + 2684907*f**2 - 9701532*f + 12774267 = 0.
9/2, 11, 531
Determine y, given that 6*y**5/13 - 2248*y**4/13 - 9840*y**3/13 - 5340*y**2/13 + 12874*y/13 + 4548/13 = 0.
-3, -2, -1/3, 1, 379
Determine s so that -2*s**2/9 + 716*s/9 + 3730/3 = 0.
-15, 373
Factor 5*w**2 + 73135*w + 365550.
5*(w + 5)*(w + 14622)
Factor -2*s**5 - 4132*s**4 - 2860560*s**3 - 673807100*s**2 - 7071220750*s.
-2*s*(s + 11)*(s + 685)**3
Let r**2 + 169*r + 2310 = 0. What is r?
-154, -15
Solve -4*i**5 - 44*i**4 - 116*i**3 - 4*i**2 + 168*i = 0 for i.
-7, -3, -2, 0, 1
What is j in -3*j**3/7 - 471*j**2/7 + 8826*j/7 - 8352/7 = 0?
-174, 1, 16
Factor 92*r**4 + 13904*r**3 - 12160*r**2.
4*r**2*(r + 152)*(23*r - 20)
Factor q**2 + 6886*q + 68760.
(q + 10)*(q + 6876)
Factor 4*h**2/5 - 12576*h/5 + 25136/5.
4*(h - 3142)*(h - 2)/5
Determine v so that 3*v**2 - 96*v - 4032 = 0.
-24, 56
Find n, given that 3*n**3/7 + 4413*n**2/7 + 1584720*n/7 - 28230336/7 = 0.
-744, 17
Factor -4*x**3 + 236*x**2 + 7240*x + 24928.
-4*(x - 82)*(x + 4)*(x + 19)
Find d, given that -2*d**3 + 1430*d**2 + 10096*d + 8664 = 0.
-6, -1, 722
What is t in 2*t**2/17 - 169240*t/17 - 169242/17 = 0?
-1, 84621
Factor -4*i**3 - 2544*i**2 + 16*i + 10176.
-4*(i - 2)*(i + 2)*(i + 636)
Factor -r**3 + 268*r**2 - 23765*r + 696266.
-(r - 97)**2*(r - 74)
What is l in -l**5 - 57*l**4 - 359*l**3 + 1613*l**2 - 240*l - 2156 = 0?
-49, -11, -1, 2
Find n, given that -2*n**4 + 792*n**3 - 76498*n**2 - 77292*n = 0.
-1, 0, 171, 226
Suppose 441*m**5/8 - 879*m**4/4 - 8391*m**3/4 - 3336*m**2 - 12267*m/8 - 81/4 = 0. Calculate m.
-3, -1, -2/147, 9
What is y in -2*y**2/5 - 364*y/5 - 2704 = 0?
-130, -52
Determine w, given that -727*w**4/3 - 1938*w**3 + 67627*w**2/3 - 43682*w + 120 = 0.
-15, 2/727, 3, 4
Solve 21*a**5 - 1749*a**4 - 1308*a**3 + 4044*a**2 - 1008*a = 0.
-2, 0, 2/7, 1, 84
Let -2*z**5 + 26*z**4 - 42*z**3 - 226*z**2 + 484*z - 240 = 0. Calculate z.
-3, 1, 4, 10
Factor -5*p**5 + 2820*p**4 + 8490*p**3 + 8500*p**2 + 2835*p.
-5*p*(p - 567)*(p + 1)**3
Solve -23*y**2/3 - 91519*y/3 - 7958/3 = 0 for y.
-3979, -2/23
Let 4*u**3/9 - 1 | {
"pile_set_name": "DM Mathematics"
} |
17*b**2 + 35*b - 19. Let m = -387 - -394. Let r(t) = -10*t**3 + 36*t**2 - 70*t + 37. Let n(f) = m*u(f) + 4*r(f). Solve n(j) = 0 for j.
1, 3
Let x(a) = -15*a**2 - 231*a - 756. Suppose -7*r + 495 = -16*r. Let h = r - -59. Let z(p) = 3*p**2 + 46*p + 151. Let j(u) = h*x(u) + 21*z(u). Factor j(l).
3*(l + 7)**2
Solve -16/13*x**3 + 2/13*x**4 - 18/13*x**2 + 0*x + 0 = 0.
-1, 0, 9
Let 2*t**5 - 2213*t + 200*t**2 + 38*t**4 + 4010*t - 1408 - 2629*t + 165*t**3 + 35*t**3 = 0. What is t?
-11, -4, -2, 2
Let k(z) be the first derivative of 0*z**2 - 1/10*z**4 + 29 - 3/25*z**5 + 1/15*z**6 - 1/5*z + 4/15*z**3. Determine d, given that k(d) = 0.
-1, -1/2, 1
Factor -57*n + 1160*n + 189*n + 4*n**2 + 3840.
4*(n + 3)*(n + 320)
Let y(w) = w**3 - 10*w**2 + w. Let q(m) = -m**2 + 14*m - 13. Let c be q(6). Let l = -15 + c. Let o(f) = f**2 + f. Let a(s) = l*o(s) + 5*y(s). Factor a(k).
5*k*(k - 5)*(k - 1)
Let y(b) be the first derivative of b**8/1008 - b**7/210 + 4*b**2 + b + 4. Let i(g) be the second derivative of y(g). Suppose i(c) = 0. What is c?
0, 3
Let j(x) = 13 - 6*x**4 - x - x**2 - 9*x**4 - 12 + 16*x**4. Let t(p) = 8*p**4 + 25*p**3 + 37*p**2 + 17*p + 3. Let b(i) = -3*j(i) + t(i). Factor b(h).
5*h*(h + 1)*(h + 2)**2
Suppose 0 = -17*t + 14 + 20. Factor -6*n - 3*n**2 + 15*n**3 + 5 + 6 - 5 + 9*n - 21*n**t.
3*(n - 1)**2*(5*n + 2)
Let z = -422608 + 422613. Let 0*y**4 - 12 + 3*y**2 + 18*y + 3/2*y**z - 21/2*y**3 = 0. What is y?
-2, 1, 2
Let o(m) = -4*m**3 + 348*m**2 + 692*m + 352. Let g(n) = -6*n**3 + 697*n**2 + 1384*n + 702. Let y(z) = 4*g(z) - 7*o(z). Let y(r) = 0. What is r?
-86, -1
Let c(t) be the second derivative of t**4/36 + t**3/6 + t + 381. Factor c(v).
v*(v + 3)/3
Factor -4/5*q**2 - 48/5*q + 36.
-4*(q - 3)*(q + 15)/5
Suppose -1122 = -14*b + 3022. Let p = -296 + b. What is h in 3/7*h**2 - 4/7 + p*h + 1/7*h**3 = 0?
-2, 1
Factor 207 + 546*o + 124 + 163*o**2 + 26*o**2 + 29 + 3*o**3.
3*(o + 1)*(o + 2)*(o + 60)
Let x(r) = r + 25. Let u be x(-26). Let l be u/(7/((-28)/12)). Suppose 1/6*y**3 - l - 1/2*y**2 - 5/6*y + 1/6*y**4 = 0. What is y?
-1, 2
Solve 71*f**2 - 49*f**3 + 99/2*f - 21/2*f**4 - 1/2*f**5 - 121/2 = 0 for f.
-11, -1, 1
Factor 3*h**4 - 5*h**2 + 0*h - 13*h**2 - 9 + 31*h - 7*h.
3*(h - 1)**3*(h + 3)
Let s(l) = l**2 + 2. Let u(w) = w**3 + 8*w**2 + 9*w + 15. Let o be u(-7). Let i(x) = 21*x**2 + 30*x + 63. Let v(b) = o*i(b) - 18*s(b). Factor v(j).
3*(j + 1)*(j + 9)
Let 156*d + 150063615 - 150063615 + 3*d**4 + 168*d**2 + 51*d**3 = 0. What is d?
-13, -2, 0
Let k be 39 + 0 + (-12)/3. Suppose -5*n + 4*h + 2 = -39, 3*n - 5*h = k. Suppose -n*v - 14*v**3 + 9*v**3 + 10*v**3 = 0. What is v?
-1, 0, 1
Let u(x) be the first derivative of -3*x**4/28 + 2*x**3/7 + 27*x**2/14 - 54*x/7 - 1461. Factor u(v).
-3*(v - 3)*(v - 2)*(v + 3)/7
Let b(x) be the second derivative of x**7/168 - 7*x**6/120 + 17*x**5/80 - 17*x**4/48 + x**3/4 - x + 37. Factor b(m).
m*(m - 3)*(m - 2)*(m - 1)**2/4
Let d(n) be the third derivative of -n**10/680400 - n**9/272160 - n**5/5 + 64*n**2. Let b(u) be the third derivative of d(u). Suppose b(y) = 0. What is y?
-1, 0
Let r = -114530 + 683899/6. Let l = 547 + r. Factor 0 + l*i**3 - 2/3*i**2 + 2/3*i.
i*(i - 2)**2/6
Let g be 2 + ((-24)/(-12))/((-2)/(-3)). Let g*m**2 + 4205 + 62*m - 43*m + 271*m = 0. Calculate m.
-29
Let k(s) be the second derivative of -5/2*s**4 + 12*s**2 + 18*s - 3/4*s**5 + 2*s**3 + 1/14*s**7 + 1/5*s**6 + 2. Suppose k(b) = 0. What is b?
-2, -1, 1, 2
Let q be (-52)/112*-4 - (-20)/140. Factor -2/5*g**3 - 13718/5 - 114/5*g**q - 2166/5*g.
-2*(g + 19)**3/5
Let z(r) = -31*r**3 - 1173*r**2 + 86425*r + 87616. Let m(y) = -13*y**3 - 587*y**2 + 43213*y + 43808. Let n(q) = 14*m(q) - 6*z(q). Determine i so that n(i) = 0.
-1, 148
Let s(p) be the second derivative of -4*p**7/147 + 3*p**6/7 + 46*p**5/35 - p**4/7 - 88*p**3/21 - 39*p**2/7 - 8*p - 45. Determine y, given that s(y) = 0.
-1, -3/4, 1, 13
Factor 1000*q + 5*q - q**2 - 1356621 + 2293*q - 1362580.
-(q - 1649)**2
Let l(d) be the second derivative of 2/15*d**4 + 0*d**2 + 27 - d - 4/5*d**3 - 1/75*d**6 + 3/50*d**5. Factor l(f).
-2*f*(f - 3)*(f - 2)*(f + 2)/5
Factor 225*d**2 - 1718649*d - 5*d**4 + 0*d**4 - 60*d**3 - 300 + 1718629*d.
-5*(d - 2)**2*(d + 1)*(d + 15)
Let o(w) be the third derivative of w**6/540 + 4*w**5/135 - 31*w**4/108 + 22*w**3/27 - 133*w**2 - 2*w. Factor o(q).
2*(q - 2)*(q - 1)*(q + 11)/9
Let a(s) be the first derivative of -s**6/8 - 129*s**5/20 + 9*s**4/16 + 127*s**3/4 - 129*s**2/4 + 11704. Solve a(l) = 0.
-43, -2, 0, 1
Let t(d) be the third derivative of -1/10*d**5 + 0*d + 1/10*d**4 + 4/15*d**3 + 0 + 17/600*d**6 + 18*d**2 - 1/350*d**7. Solve t(j) = 0 for j.
-1/3, 2
Let t(r) be the third derivative of r**6/240 - 31*r**5/360 - 79*r**4/72 + 14*r**3/9 + 3*r**2 + 591*r. Factor t(x).
(x - 14)*(x + 4)*(3*x - 1)/6
Let i(q) = 5*q**3 - 135*q**2 + 190*q - 2. Let j(h) = -48*h**3 + 1214*h**2 - 1736*h + 19. Let a(z) = -57*i(z) - 6*j(z). Let a(n) = 0. Calculate n.
-138, 0, 1
Solve -13633/3*o**3 + 18542/3*o**2 + 144*o**4 - 7/6*o**5 + 1403/2*o - 7442/3 = 0 for o.
-4/7, 1, 61
Let g(z) be the third derivative of -100*z**2 + 0*z**3 + 0 - 1/78*z**5 - 1/39*z**4 + 0*z - 1/780*z**6. Find b such that g(b) = 0.
-4, -1, 0
Factor -2125*o + 364*o**2 + 231*o**2 + 2*o**4 - 675*o + 248*o**2 - 68*o**3 - 83*o**2.
2*o*(o - 14)*(o - 10)**2
Let y = 57241/6 + -9540. Let k(f) be the second derivative of 0*f**3 + 0*f**2 + y*f**6 + 0 - 1/4*f**5 + 28*f + 0*f**4. Solve k(m) = 0 for m.
0, 1
Let u(f) be the third derivative of -f**6/255 - 22*f**5/255 - 35*f**4/68 - 24*f**3/17 - f**2 + 183. Factor u(i).
-2*(i + 8)*(2*i + 3)**2/17
Let d be (6/10 - 55/((-385)/56)) + (-14)/(-35). Factor 9/4*q**3 + 39/4*q**2 - d - 24*q.
3*(q - 2)*(q + 6)*(3*q + 1)/4
Let h = 541 + -547. Let z be h + (-89)/(-8) + -5. Suppose z*o**2 + 3/8 - 1/2*o = 0. What is o?
1, 3
Determine x, given that 8 - 130/3*x - 263/3*x**2 - 7*x**3 = 0.
-12, -2/3, 1/7
Let d(m) be the second derivative of 162*m + 2*m**3 + 9/10*m**5 + 0 - 2*m**4 + 0*m**2 + 1/56*m**7 - 1/5*m**6. Let d(y) = 0. Calculate y.
0, 2
Let j(u) be the first derivative of -221*u**4/8 + 73*u**3/2 + u**2/2 - 7040. Solve j(o) = 0.
-2/221, 0, 1
Let q(c) be the first derivative of -c**6/15 + 17*c**5/10 - 377*c**4/40 + c**3/6 + 381*c**2/20 - 9*c - 7358. Suppose q(v) = 0. Calculate v.
-1, 1/4, 1, 6, 15
Let s(g) be the second derivative of -g**6/160 + g**5/40 + 99*g**2/2 - 31*g + 3. Let n(d) be the first derivative of s(d). Factor n(f).
-3*f**2*(f - 2)/4
Let r(s) = -8*s**2 - s - 1. Let y(x) = 291*x**2 + 180*x - 1704. Let v(t) = 36*r(t) + y(t). Factor v(b).
3*(b - 10)*(b + 58)
Determine t so that -201/4 - 54*t + 15/4*t**4 + 54*t**3 + 93/2*t**2 = 0.
-67/5, -1, 1
Let t = 146964 - 146962. Factor 15/2*y + 18 + 3/4*y**t.
3*(y + 4)*(y + 6)/4
Let b = 1023596/3 + -341197. Factor b*f - 5/3*f**3 + 10 - 10*f**2.
-5*(f - 1)*(f + 1)*(f + 6)/3
Let g(r) be the third derivative of r**5/180 - 59*r**4/18 - 2*r**2 - 2145*r. Factor g(j).
j*(j - 236)/3
Let k = 167 + -175. Let m(i) = -4*i**3 - 212*i**2 - 3460*i - 19644. Let h(t) = t**2 - t - 1. Let f(r) = k*h(r) - m(r). Suppose f(w) = 0. Calculate w.
-17
Let 187/2*g + 375/4 - 1/4*g**2 = 0. What is g?
-1, 375
Let s be 1575/(-60) - 2/(-8). Let z = s + 29. Factor -10*u - 10*u**z + 8*u**3 + 12*u.
-2*u*(u - 1)*(u + 1)
Let n be (-8 - -9)*-12*1/(-3). Let v(j) be the second derivative of 0 - 8*j - 4/3*j**n - 4/3*j**3 + 9/2*j**5 + 0*j**2. Factor v(t).
2*t*(5*t - 2)*(9*t + 2)
Let j be 6*5/10 + 383/1. Suppose 0 = 8*v - j - 102. Factor 64*r**2 + 12 - 12*r - v*r**2 + 0*r.
3*(r - 2)**2
Let a = 14954/19 + -29889/38. Factor 0*n**2 + 0 - 3/2*n**3 - a*n**4 + 0*n.
-n**3*(n + 3)/2
Let a be 2 + -9 + -9 + 5763/360. Let n(c) be the second derivative of 1/180*c**6 - a*c**5 - 1/24*c**4 - 1/6*c**2 + 16*c + 0 + 5/36*c**3. Factor n(k).
(k - 1)**3*(k + 2)/6
Factor 2/7*f**3 + 10854/7*f - 282/7*f**2 - 8978.
2*(f - 67)**2*(f - 7)/7
Let x(u) be the third derivative of u**8/20160 + u**7/2520 + 61*u**5/60 - 69*u**2. Let v(p) be the third derivative of x(p). Factor v(a).
a*(a + 2)
Let p(g) be the third derivative of -g**5/15 + 21*g**4/2 - 120*g**3 + 19*g**2 - 120*g. Factor p(q).
-4*(q - 60)*(q - 3)
Let y = 68 + -70. Let v be ((-3)/9)/(y/36). Factor -28*h**2 - h**3 - 3*h - v + 5 + 25*h**2.
-(h + 1)**3
Let w(h) = h**3 + 37*h**2 + h | {
"pile_set_name": "DM Mathematics"
} |
maller: 20/23 or 2?
20/23
Which is bigger: 1 or -104?
1
Which is smaller: -33/142 or 1?
-33/142
Is 9398 at least 9398?
True
Is -14/85 less than -0.1?
True
Is 0 > -91/190?
True
Are 0.2 and 328 unequal?
True
Is -1/86 >= 37?
False
Which is greater: -0.2 or -616?
-0.2
Are -416 and -405 nonequal?
True
Is 50/3 greater than or equal to 0.1?
True
Which is smaller: -376 or -3?
-376
Are -383 and -387 unequal?
True
Are -14/381 and -1 nonequal?
True
Is -1 at most 5/8451?
True
Which is greater: 232 or 165?
232
Which is smaller: -4/413 or -1?
-1
Which is smaller: -1152 or -1153?
-1153
Which is smaller: -0.054 or -5/6?
-5/6
Which is bigger: 9/83 or 0?
9/83
Which is greater: 13566/11 or 1232?
13566/11
Is 111/8 less than or equal to 14?
True
Is 3 greater than 560?
False
Which is greater: -11 or -5?
-5
Do -4495 and -1 have different values?
True
Which is bigger: 1/6799 or 1?
1
Are 0 and -1 nonequal?
True
Which is smaller: 56/25 or 2?
2
Is -3.35 less than -0.5?
True
Which is smaller: -293 or -296?
-296
Are 5 and -444 nonequal?
True
Which is smaller: -6 or 2/119?
-6
Is 117 > 117?
False
Do 1.3 and 15/2 have the same value?
False
Are 873/55 and 15 equal?
False
Is 23 at most as big as 22?
False
Is -5/548 >= -1?
True
Which is smaller: -11 or -19?
-19
Are -11971/10 and -1197 nonequal?
True
Is -0.3 smaller than -2/9?
True
Is -21520 <= -21519?
True
Which is smaller: 5/4 or -0.111?
-0.111
Is -0.2 at most -45?
False
Is 1275 at least as big as 1278?
False
Which is smaller: -43/776 or 1?
-43/776
Which is smaller: 1 or -27/266?
-27/266
Is -12.8 at most 11?
True
Which is smaller: -0.1 or 10?
-0.1
Which is smaller: 667 or 16?
16
Is 0.1 less than or equal to -65.8?
False
Which is bigger: 161/6 or 28?
28
Is 47 != 51?
True
Is 1 bigger than 47?
False
Is -0.1 at most as big as -1554?
False
Do 4/3159 and -1 have the same value?
False
Which is smaller: 13 or 12?
12
Is 79 equal to 23?
False
Are 101 and -0.029 nonequal?
True
Which is bigger: 0 or 59/1066?
59/1066
Is 2648 at least as big as 2648?
True
Do -2 and -22/41 have the same value?
False
Is 21 less than 94?
True
Is -1748/5 at least -351?
True
Is 36 at least as big as -47/4?
True
Is 1 < 66/41?
True
Is -99 <= -36?
True
Which is smaller: -1442 or -1425?
-1442
Is 94 not equal to 97?
True
Which is bigger: -2/291 or 1?
1
Are -2377 and -2376 non-equal?
True
Which is smaller: -6337 or -6338?
-6338
Which is bigger: 3/167 or -1?
3/167
Which is greater: -1/11466 or 0?
0
Which is smaller: 0 or -56339?
-56339
Which is smaller: -1 or 5/179?
-1
Which is smaller: 422 or 423?
422
Which is smaller: 124 or 131?
124
Which is smaller: -25/9 or 2/3?
-25/9
Is 962 equal to 958?
False
Is 3/2 less than 8/5?
True
Which is greater: 1/5 or -0.53?
1/5
Which is greater: -973 or -4863/5?
-4863/5
Is 14 at most -30?
False
Which is bigger: 1340 or 1339?
1340
Which is smaller: 326 or 325?
325
Which is greater: -0.66 or 3/4?
3/4
Is -0.1 greater than or equal to -9/4?
True
Which is bigger: 1/3 or -3314?
1/3
Which is greater: -13/77 or -2?
-13/77
Which is smaller: -23 or 358?
-23
Which is smaller: 838 or 4/7?
4/7
Which is bigger: 14 or 10?
14
Which is greater: 462/5 or 93?
93
Is -22 < -22?
False
Are -2 and -78/55 unequal?
True
Do -6/103 and 0 have the same value?
False
Is 0 at most -4/711?
False
Is 0.14 greater than or equal to -0.087?
True
Is -415 smaller than -409?
True
Which is smaller: 3232/11 or 295?
3232/11
Which is smaller: 0 or 0.04981?
0
Is -1/2 <= -10?
False
Which is greater: -3/578 or -1?
-3/578
Are 2/13 and 15 equal?
False
Is 1 greater than or equal to 5/102?
True
Are 790 and 800 nonequal?
True
Is -1/639 less than or equal to 1?
True
Which is greater: 1 or -8485?
1
Are 56 and 2/3 equal?
False
Is -1055 > -1056?
True
Which is smaller: -23/579 or 0?
-23/579
Are 509/41 and 11 equal?
False
Which is greater: -1 or -23/118?
-23/118
Is -3 >= 53/33?
False
Which is smaller: -355 or -709/2?
-355
Is -2/3 != -42?
True
Is 9 != 126/13?
True
Which is bigger: -11/6220 or -1?
-11/6220
Which is bigger: 1 or 12/1697?
1
Which is greater: 740 or 741?
741
Is 1 at most -2/8943?
False
Is 36 bigger than -59?
True
Which is smaller: -60/143 or -1?
-1
Is -4/4049 > 0?
False
Which is smaller: 0 or 12582?
0
Which is greater: -0.3812 or -2?
-0.3812
Is 28 greater than 28?
False
Are 178 and 172 unequal?
True
Are -5 and -119/32 equal?
False
Is 125 bigger than 128?
False
Which is smaller: 7.3 or 0.09?
0.09
Is -2/3 bigger than -79?
True
Which is bigger: -1480 or -1473?
-1473
Which is bigger: -2062 or -2063?
-2062
Which is greater: -15/1846 or 0?
0
Which is smaller: -9 or -80?
-80
Which is smaller: -5 or 2.55?
-5
Which is smaller: -7/12 or 233?
-7/12
Which is greater: -8249 or -32999/4?
-8249
Are -0.1 and -344 nonequal?
True
Is -13 != -13?
False
Which is smaller: -2 or -128?
-128
Do 17661 and 17661 have the same value?
True
Is 9 at most as big as -33/2?
False
Which is smaller: -158 or -156?
-158
Which is bigger: 1 or -54/389?
1
Is -4 less than or equal to -68/13?
False
Are -1 and -5/24 nonequal?
True
Which is smaller: 1/2 or 29?
1/2
Is -3/1730 at least as big as 1?
False
Is 1 greater than -68/1495?
True
Is -1/5 at most as big as 769?
True
Which is smaller: -2/13 or 9/8?
-2/13
Is -1 equal to 3/4576?
False
Is -8075 < -8075?
False
Is -183 bigger than -184?
True
Is 97/14 less than 7?
True
Which is smaller: 4 or 75/19?
75/19
Which is smaller: -7051 or 1?
-7051
Which is smaller: -1 or 15/104?
-1
Is 7982 not equal to 7982?
False
Is 0.22 at least as big as 4?
False
Which is bigger: -2576 or -2577?
-2576
Which is smaller: 2/95 or 0?
0
Is 0 less than or equal to -0.0108?
False
Are -1/88 and -0.02 non-equal?
True
Is -4084 >= -4085?
True
Which is smaller: 0 or -1/7?
-1/7
Is -20 smaller than -21?
False
Which is smaller: -1 or -41/36?
-41/36
Is -2/23173 > 1?
False
Which is smaller: 56 or 39?
39
Which is smaller: 128/25 or 5?
5
Is 1581 less than or equal to 3?
False
Is -12 less than or equal to -59?
False
Which is bigger: -15432 or -15433?
-15432
Which is smaller: 67 or -13?
-13
Do 53 and -3 have the same value?
False
Which is bigger: -1/2 or -18375?
-1/2
Which is smaller: 0.1 or -25/11?
-25/11
Do -1 and -1/2501 have the same value?
False
Is -86/45 greater than -2?
True
Which is smaller: 1 or -2/747?
-2/747
Is -0.065 smaller than 0?
True
Is -1162 greater than -1160?
False
Is -13 less than -1?
True
Which is smaller: 0 or 1/85025?
0
Which is bigger: -1 or -185?
-1
Is -294/5 at most as big as -4/3?
True
Which is bigger: 2 or 8701?
8701
Is -1 not equal to -4/38561?
True
Which is bigger: 4601 or 4600?
4601
Is -4 bigger than -28?
True
Which is smaller: -38 or -37?
-38
Is -2254 equal to -2254?
True
Which is bigger: 208 or 207?
208
Which is smaller: 8894 or 8893?
8893
Which is smaller: -1590 or 1?
-1590
Which is greater: -306 or -307?
-306
Which is smaller: -0.018 or -0.05?
-0.05
Which is smaller: -8 or -6/13?
-8
Which is smaller: 357/95 or 3?
3
Which is smaller: 1333 or 1334?
1333
Do 2/5 and 0.36 have the same value?
False
Which is smaller: -22 or -0.66?
-22
Is -2/23 at most -1/13?
True
Is 23 >= 27?
False
Is 14 less than or equal to 17?
True
Is -42 bigger than -171/4?
True
Is 4832 > 4832?
False
Which is smaller: -25579 or -25580?
-25580
Which is bigger: 52876 or 52875?
52876
Is 0 not equal to -23/59?
True
Which is smaller: -1 or -34/3403?
-1
Is -1/2 equal to -180?
False
Is -338 less than -340?
False
Is 0 greater than 89?
False
Which is bigger: 14/11 or 0?
14/11
Is -11310 at least as big as -11310?
True
Which is smaller: 200 or -20?
-20
Which is smaller: 0 or 1/115?
0
Which is bigger: -1 or -2/885?
-2/885
Is -1/6755 equal to -1?
False
Is -16714 <= -16713?
True
Does 0 = 50/447?
False
Is -0.1 at least 232?
False
Which is smaller: -581 or -586?
-586
Which is greater: 2/5 or 20611?
20611
Which is greater: 202 or 203?
203
Is -90 at least as big as -90?
True
Does -5 = 88?
False
Which is greater: -0.1 or -218?
-0.1
Which is smaller: -10 or 2?
-10
Which is smaller: 0 or 1/1124?
0
Is 1/1538 at least 1?
False
Which is greater: 91/460 or -1?
91/460
Is 31356 at least as big as 31355?
True
Is 1549 at most as big as 1549?
True
Which is smaller: -0.3 or 0.05?
-0.3
Do -7 and 0 have the same value?
False
Does 15 = -0.07?
False
Which is greater: -5342 or -5341?
-5341
Which is bigger: 45 or 69?
69
Is -3/35 at least -11?
True
Is 27 | {
"pile_set_name": "DM Mathematics"
} |
, 0.2?
0.2
Let w = -647 + 637. What is the closest to 0 in 3/7, -1, w, -7?
3/7
Let p = -677 - -679. Which is the closest to 2/67? (a) -7 (b) p (c) 3
b
Let k = -41 + 44.2. Let p = 12.8 + k. Let z = -18 + p. Which is the nearest to 1? (a) 2/11 (b) z (c) 0
a
Let l = -154.531 + -0.669. Let r = -155 - l. What is the nearest to -1 in 0, 1, r?
0
Let v = -1572.1 - -1572. Which is the nearest to v? (a) -4/9 (b) -1 (c) -5/3
a
Suppose -x = -g + 5, 4*x + 3*g - 15 = -x. Suppose 2*j - 6*j + 20 = x. Suppose 0 = m - v - 1 - 2, -4*m - j*v - 6 = 0. What is the closest to 0 in -4, 3, m?
m
Let v be 1*(6 + 29/(-5)). What is the nearest to 6 in 0, v, -4?
v
Let t = -274.9 - -223. Let c = t - -52. What is the nearest to -6 in -0.3, 0, c?
-0.3
Let g = -884/4059 + -2/451. Let y be -4*(-2 - -1 - 10/(-40)). Which is the closest to 0.1? (a) -19 (b) g (c) y
b
Let o = -78 + 392/5. Let h = -0.6 - -0.2. Which is the nearest to o? (a) -4/3 (b) -2/9 (c) h
b
Let f be -1 - (-6 - 0) - (3 - 3). Suppose -4*t = -2*o - f*t - 7, -2*o + 2*t = 10. Let d = 1.2 - 0.2. Which is the nearest to d? (a) 5 (b) -1/6 (c) o
b
Suppose 3*x + 5*c = 7*x + 5, -5*x - c + 30 = 0. Let h(v) = -3*v**3 + 50*v**2 - 33*v + 12. Let u be h(16). What is the closest to 6/7 in x, -6, u?
x
Suppose l + 3*z + 10 = 0, 2*z + 0 = 5*l - 35. Which is the nearest to 5? (a) l (b) -6/5 (c) 2/5
a
Let x(p) = p**3 - 3*p**2 - 5*p - 73. Let f be x(6). What is the nearest to 3 in 1/6, 0.4, f, 2/17?
f
Let o = 35.2 - 35.5. Which is the nearest to 0.1? (a) -0.1 (b) o (c) -1/4
a
Let f be (-2)/(-10)*1*2. Let b = -44.78 - -43.78. What is the nearest to f in 0.025, b, 0.2?
0.2
Let x be 1*10*4/8. Let g be (105/(-18))/x + (-4 - -5). What is the nearest to -0.1 in g, 0.03, 0.3?
g
Suppose -16*k - 25 = -57. Which is the closest to 1/4? (a) k (b) 3/7 (c) -0.19 (d) -3
b
Let z be (-1)/21 - (-3)/9. Which is the nearest to -0.1? (a) z (b) -2/15 (c) 53
b
Let p(f) = f**2 + 16*f - 6. Let w be p(-11). Let i = w - -60. Which is the nearest to -0.2? (a) i (b) -9 (c) 3
a
Let w = 73 + -71. Let d be (-3)/(-3 + w) - -8. Which is the closest to d? (a) -2/15 (b) -1/4 (c) -1/7
a
Let i be (1/(-4))/((-2)/(-2)). Let t = 2098/483 + -280/69. What is the closest to t in -2/7, i, -1?
i
Let l = 16 + -31/2. Let n = -0.2 + -0.3. Let s = -1.3528 - -0.3528. Which is the nearest to l? (a) n (b) s (c) 0
c
Let q be (-54)/(-30)*(-3 - -13). Let t be -3 - q*2/(-10). Which is the closest to 7? (a) -0.1 (b) 1/5 (c) t
c
Suppose 3*n = 7*n. Suppose n = -3*k - 2*s + 4, s = -3*k - 4*s + 1. Suppose -y - 1 = k. Which is the closest to -1/10? (a) 0 (b) 1/2 (c) y
a
Let z = 53 - 42. Suppose k = -2*a + z, 9 = a + k + 3*k. What is the closest to -0.1 in -12/5, -5, a?
-12/5
Let v = -137/3 - -46. Let z = 1532 + -1531.8. Let f = -4 - -2. What is the closest to f in -0.3, z, v?
-0.3
Let r = 186 - 186.079. Let u = -0.021 + r. What is the nearest to u in -2, 5, 1?
1
Let s = 42.9 + -43. Let x = 44 + -134/3. What is the closest to x in -1, s, 5?
-1
Let l = 2/407 + 399/1628. Let n = -11.3 - -12. Let v = 0.3 + n. Which is the nearest to v? (a) -0.1 (b) 0 (c) l
c
Let h = -0.04 + -0.06. Let m be -1 + 1 + (-11 - (-306)/27). What is the nearest to -1 in m, h, 0?
h
Let z = -597.7 + 480. Let i = 118 + z. Let w = 1 + 3. Which is the closest to 1? (a) -0.2 (b) w (c) i
c
Let x be -5 - (-5*(-190)/(-200) - (1 + 0)). Let i(r) = r**2 - 4*r. Let n be i(3). Let s = 1 + n. Which is the nearest to -2/5? (a) -1/5 (b) s (c) x
a
Suppose -t + 2*m + m = 0, 5*t - 13 = 2*m. Let g = -1098.1 + 1098. Which is the nearest to g? (a) t (b) 1/3 (c) -1
b
Let g = 173.4 + -173. Let q = 6.6 + -11.5. Let f = q - 0.1. Which is the closest to 2/11? (a) f (b) -1 (c) g
c
Let l = -10.01 + 10.41. Let u be (-5)/(-6) - 3/9. Which is the nearest to u? (a) l (b) 17 (c) -0.1
a
Let y = -604 + 600. Which is the nearest to 0.1? (a) y (b) -0.7 (c) 5 (d) 0
d
Let y = 78 - 70. Let c be (3/4)/((-477)/(-60) - y). What is the closest to 0 in 2/3, c, 0.4?
0.4
Let x = -56 + -11. Let t = x - -70. Which is the nearest to -1/2? (a) -0.1 (b) t (c) -1
a
Let d(g) be the first derivative of -3*g**2 - 4*g - 2*g**3 - 1/4*g**4 + 7. Let f be d(-5). What is the nearest to f in -5, -1/4, 3?
-1/4
Let p be (-26)/22 + 1 + 0. Let m = -1.9 + 0.5. Let f = 1.6 - m. Which is the closest to 0? (a) f (b) -2 (c) p
c
Let t = -607.9 - -608. Which is the nearest to t? (a) 2.3 (b) 4 (c) -2
c
Let x = 1.9773 + 0.0227. Let y be 1 + -2*(-4)/(-6). Which is the nearest to y? (a) -2 (b) 4/5 (c) x
b
Let m be (0 + 6)*(-2 - 30/(-12)). Which is the closest to -13? (a) 2 (b) m (c) -3 (d) -4
d
Let y = -0.5 - 0.5. Suppose -63*p + 49*p - 89 = -19. Which is the nearest to -1? (a) -3/5 (b) p (c) y
c
Let i = 1/226 + 443/2034. Which is the nearest to 0.3? (a) i (b) 1 (c) 4
a
Let k = 0.3 + -1.3. Let q be (3/1)/(9/(-6)). Let g = -101/3 - -34. Which is the closest to 0? (a) g (b) q (c) k
a
Let f(l) = -l - 8. Let r be f(4). Let o(w) = -w**3 - 12*w**2 - w - 14. Let k be o(r). Let p = -323/30 + 53/5. Which is the closest to 0? (a) 3/2 (b) p (c) k
b
Let z = -3 - -2.8. Let h be (-39)/(-6) + 2/(-4). Let l be (3/36)/(2/h). Which is the nearest to 1? (a) -2 (b) z (c) l
c
Let h = 658 + -658.1. Which is the nearest to 0.1? (a) -0.049 (b) 0 (c) h
b
Let o = 40/33 + -127/132. What is the nearest to o in 0.2, -2/3, -37, 3?
0.2
Let p = 82.5 + -164.2. Let y = p + 82. What is the nearest to 1 in y, 4, -6?
y
Let v = -11.95 - -12.45. Let q = 0.2 + -0.3. What is the closest to q in v, -4, 0.1?
0.1
Let z = -0.0841 - -0.3841. Let w = -14 + 13. Which is the nearest to -1? (a) z (b) 0.1 (c) w
c
Let r = -407/20 + 83/4. What is the nearest to -0.24 in r, -2, 1/4?
1/4
Let r = 0.9 + -4.9. Let m be (8/(-126)*-3)/(22/(-33)). What is the closest to r in 0.1, 2/5, m?
m
Let v = 16.4 - -4.2. Let p = -3.6 + v. Let s = -16.6 + p. What is the closest to -1 in 2/11, s, -2/5?
-2/5
Let m = 1945.031 - 1945. Which is the closest to 1/4? (a) 5 (b) -0.2 (c) m
c
Let z be 0 + (-1)/5 - (-135)/675. Let u = -4 + 1. Let y = 9 + -5. Which is the nearest to z? (a) u (b) y (c) 1/4
c
Let h = 960 - 959. Which is the nearest to h? (a) -25 (b) 1/2 (c) 0.4 (d) -0.2
b
Let l = 28632 + -198621/7. Let z be 1/2*2 + 257. Let j = l - z. What is the nearest to 0 in j, -2/17, 4?
-2/17
Let d = 14/55 + -201/55. Let t = -3 - d. Let z = 0 + -5. What is the closest to t in 2/7, z, -3?
2/7
Let v = 50 - 49.76. Let n = v - 0.34. Which is the nearest to n? (a) 1/9 (b) 2 (c) -1/7
c
Let p(i) = 2*i**3 + 12*i**2 + 4*i - 1. Let b be p(-6). Let r(w) = w**2 + 28*w + 79. Let x be r(b). What is the closest to 0 in 5, -2/3, x?
-2/3
Let v be (-5)/9*(-54)/45. What is the nearest to v in -0.1, -22, -4, -2?
-0.1
Let m = 15 - 18. Let p = -0.02 - -6.02. Let j = -5.9 + p. Which is the closest to -1? (a) j (b) -1 (c) m
b
Suppose 2*o - 2*g = o + 10, -g = -2*o + 8. Which is the nearest to o? (a) 6 (b) 1/2 (c) 5
b
Let p = 22.02 - 24.02. What is the closest to -0.3 in 8, -2/5, p?
-2/5
Let z = 136 + -141. What is the closest to -2/31 in z, -3, 0?
0
Let p = 1661/2 - 831. Which is the closest to p? (a) -2/5 (b) 3 (c) 2/7 (d) 5
a
Let s(i) = 97*i + 1. Let u be s(2). Suppose y - u = 194. Let r = y + -7393/19. What is the closest to 0.2 in r, -5, -0.1?
-0.1
Let x = -4.9 - 0.1. Let i = 596 + -595.9. What is the closest to i in -3/2, x, 4?
-3/2
Let i = 13/4 + -11/4. Let q(y) = -18*y**2 - 143*y + 3. Let t be q(-8). Which is the nearest to -1/3? (a) i (b) t (c) -20
a
Let l = -4 - -4.01. Let d = 974.7 + -975. What is the nearest to -2/7 in d, -1/4, l?
d
Let t = 6.9 - 7. Let g = 0.5 + t. What is the nearest to -1/3 in g, -1/6, -4?
-1/6
Let g = 0.09 + -0.11. Let i = 0.38 - g. Suppose d = 2*w - 2*d - 22, 3*w + 1 = -4*d. Which is the closest to -2? (a) i (b) 0.2 (c) w
b
Let q = 47.3 - 46.7. Which is the nearest to -1? (a) 5 (b) 1 (c) q (d) -10
c
Let h = -288 + 288. Which is the closest to 2/3? (a) -0.3 (b) -2/5 (c) h (d) 2/19
d
Let k = 1.85 + -1.35. Let o be 1/(-7)*(-2)/5. What is the closest to 1/3 in 1/7, o, k?
k
Let r = -613.2 + 613.3. Suppose 3*x + 5*q = 12 + 4, -8 = -2*x - 2*q. Let n be (1 + 4)*x/5. What is the nearest to 0.1 in n, r, 3/2?
r
Let a = 43 + -41. Let n = a - 2 | {
"pile_set_name": "DM Mathematics"
} |
Simplify (3*(sqrt(1323) + sqrt(1323) + (sqrt(1323) - (sqrt(1323) - (sqrt(1323) + sqrt(1323)*-3*-5 + sqrt(1323)))) + sqrt(1323)))/(-3*-4*-1*sqrt(900)).
-7*sqrt(3)/2
Simplify (-5*(-4 + (1*sqrt(192) + -1 - (sqrt(192) - 5*(sqrt(192) + (sqrt(192) + 0 + sqrt(192) - sqrt(192)) + sqrt(192))))*3))**2.
-126000*sqrt(3) + 9721225
Simplify (4 + -3*(1 + sqrt(245) + 0 + sqrt(245) - (sqrt(245) + sqrt(245) + 0)*1) + -1)*6.
0
Simplify -6*((sqrt(119) - -2*sqrt(119)*-2)*5)/((-2*sqrt(8064))/sqrt(8)) + -5.
-15*sqrt(17)/4 - 5
Simplify (-4 + ((sqrt(320) + -2)*6 + -2 + 1*sqrt(320) - (-4 + sqrt(320) + (sqrt(320)*-4 - sqrt(320)) + 5)))**2.
-3344*sqrt(5) + 39081
Simplify (2*sqrt(768) + sqrt(12) + (-4*sqrt(108) - sqrt(108)) + sqrt(108))/(-1*sqrt(150) - (sqrt(180)/sqrt(6))/sqrt(5)).
-5*sqrt(2)/6
Simplify 3*((4 + sqrt(1053) - sqrt(13) - (-4 + 1*sqrt(13))) + ((-3*-1*sqrt(130))/(sqrt(10) + sqrt(10)*1*3))**2).
735/16 + 21*sqrt(13)
Simplify (-4 + ((1 + sqrt(1100) + 2)**2 - 1*(sqrt(891) + sqrt(891) + 2*sqrt(891) + sqrt(891) - sqrt(11))))*-6.
-6630 - 96*sqrt(11)
Simplify 2*-6*(-5 + (sqrt(2299) - (sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1 + -3))))**2 + (-4 + sqrt(2299)*2 - (0 + sqrt(2299))*6)**2)*-4*2.
33792*sqrt(19) + 3533856
Simplify -2*-4*(4 + (((-2*sqrt(91))/sqrt(7))**2 - (5 + sqrt(78)/sqrt(6))))*-2*3.
-2448 + 48*sqrt(13)
Simplify 2 + (-4*(-1 + sqrt(1300) + sqrt(1300)) + 1 + sqrt(1300) + 4)**2*1*-2 + 2.
-127558 + 2520*sqrt(13)
Simplify (((sqrt(125) - sqrt(125)*2) + -4 - sqrt(125))*-5*1)**2 - -6*(-4 + sqrt(125)*-2 + -1*sqrt(125)*5)**2.
3680*sqrt(5) + 49746
Simplify 1*(0 + (-1 + sqrt(2448))*-2 + (-2*sqrt(187)*1)/((sqrt(110)*-2)/sqrt(10))).
-23*sqrt(17) + 2
Simplify 1 + (sqrt(351)/(sqrt(9) - (sqrt(108) - (sqrt(108) + sqrt(108)*-3))/sqrt(12)))/((sqrt(2178) - (sqrt(2178) - 3*sqrt(2178)) - sqrt(2178))/sqrt(6)).
-sqrt(13)/44 + 1
Simplify (sqrt(1375) - -2*sqrt(1375))/(2*sqrt(704)) - ((sqrt(15)*-2)/sqrt(3) + -2 + sqrt(405)).
-97*sqrt(5)/16 + 2
Simplify 1*4*(sqrt(700)*-1)**2 + (1*sqrt(42)*3)/sqrt(6)*1.
3*sqrt(7) + 2800
Simplify 2*(2*(0 + (sqrt(450) - sqrt(450)*1)**2 + -1) + 2).
0
Simplify 3 + (4*sqrt(90)/sqrt(2)*-2*6)/((-1*sqrt(36) + -6*-2*sqrt(9))*-3).
3 + 8*sqrt(5)/5
Simplify (5*(-5*(sqrt(108)/sqrt(4))/sqrt(9) + sqrt(144)/sqrt(3)*-4) + 4 + 4)**2.
-1680*sqrt(3) + 33139
Simplify 1 + ((3 + 1 + sqrt(500) + 5)**2 - ((sqrt(120)*2)/sqrt(6) - (-2*sqrt(80))**2)).
176*sqrt(5) + 902
Simplify (1*sqrt(22)*-5 + (sqrt(352) - (sqrt(352) - sqrt(352)*-2)))/(sqrt(24)/(sqrt(12) - (sqrt(768) - 4*sqrt(768)))) + 5.
-325*sqrt(11) + 5
Simplify -2*(6*(sqrt(360)*-1)/sqrt(2) + (sqrt(60)/(sqrt(36)/sqrt(3)) - (sqrt(245)*2 - sqrt(5)))*-2).
24*sqrt(5)
Simplify (3 + (sqrt(605)*-2*2 + (sqrt(605) - -3*sqrt(605)) + 4)*6 + 0)**2.
729
Simplify (sqrt(152)*-2*-6 - ((sqrt(152) - 6*sqrt(152)*1) + sqrt(152)))/(sqrt(648)*-6*-4).
2*sqrt(19)/27
Simplify (-4 + ((2*sqrt(385))/sqrt(7)*5)/(-2*1*sqrt(704)))**2.
5*sqrt(5) + 1149/64
Simplify -6*(-5*(0 + 1 + sqrt(2736) + 3 + 2*-1*sqrt(2736) + 1)*-3)**2.
-3727350 + 162000*sqrt(19)
Simplify sqrt(272)*1*-6 + (sqrt(272) + 1*sqrt(272))**2 + -5 + 4 + (3*sqrt(833)*-2 + sqrt(833) + -1)**2.
46*sqrt(17) + 21913
Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*1)*1 - (sqrt(77) + (3*sqrt(77) + sqrt(77))*1))/((-2*(1*sqrt(252) - sqrt(252)) - sqrt(252))*3)*-6)**2.
176/9
Simplify ((6*(sqrt(588)*2 + sqrt(588)) - sqrt(588))*6)/((sqrt(384) + sqrt(384)*-1*-2)*-1)*-4.
119*sqrt(2)
Simplify 4 + -3 + 1 + sqrt(320) + (-1 + sqrt(320) - sqrt(320)) + -3 + (3*3*sqrt(10))/(sqrt(2) + sqrt(6)/(sqrt(15)/sqrt(5))).
-2 + 25*sqrt(5)/2
Simplify -3*(-5 + (sqrt(132)/sqrt(3))**2 + 3) + (sqrt(1331) + (0 + sqrt(1331))**2 + 2 - (sqrt(1331) - -4*(sqrt(1331) + 2))).
-44*sqrt(11) + 1199
Simplify (1 + (sqrt(1377) - (-6*(-2 + sqrt(1377) - sqrt(1377)) - sqrt(1377))) + sqrt(1377) + 4*(sqrt(1377) + (1 + sqrt(1377) - sqrt(1377)) + 1) + 4 + -2)**2.
-126*sqrt(17) + 67474
Simplify 4 + (0 + sqrt(2))**2 + 2 + (sqrt(32)/sqrt(4) - (sqrt(12)/sqrt(3))/sqrt(2)) + (sqrt(22) - sqrt(22)*4*6)/(sqrt(11) + sqrt(22)/(-4*sqrt(2))).
-89*sqrt(2)/3 + 8
Simplify ((sqrt(180)/sqrt(3)*5)/(6*sqrt(18)/sqrt(6))*-4*1)**2.
2000/9
Simplify (-1 + sqrt(396) + -1 - sqrt(396)) + (5*sqrt(44)/sqrt(4)*-5)**2 - (-2 + ((sqrt(891)*2*-3)**2 - sqrt(891)) + ((sqrt(891)*2 + -4)**2 - sqrt(891))).
-28781 + 162*sqrt(11)
Simplify ((-2 + ((sqrt(19) - (sqrt(19) - -4*sqrt(38)/sqrt(2)))*1 + -4)**2)*-2 + 5 + 0)*-2.
128*sqrt(19) + 1262
Simplify ((-3*1*sqrt(209))/(-3*sqrt(1584) + sqrt(1584)) + 1*sqrt(2736) + 4 + sqrt(2736) + -5 + 4 + 1 + sqrt(19))**2.
201*sqrt(19) + 768643/64
Simplify (sqrt(19) + (sqrt(19) - (4 + sqrt(76))) + 1*sqrt(1900) + 5)**2 - (5 + (-2 + sqrt(19) + 0)*-1).
21*sqrt(19) + 1894
Simplify ((sqrt(25) - sqrt(250)/(sqrt(10) - sqrt(10)*2))/(sqrt(5) - 5*sqrt(20)) - (6*((sqrt(80) + 0 - sqrt(80)) + 3) + 5))**2.
92*sqrt(5)/9 + 42869/81
Simplify 1 + (4*sqrt(9)/sqrt(3) + -3)*5 + -1*(-3 + sqrt(3) + (sqrt(27) + -5)**2).
-63 + 49*sqrt(3)
Simplify ((((1*sqrt(360))/sqrt(9) + -1*sqrt(160))*3)/((sqrt(128) - (2*sqrt(128) - sqrt(128)))*-3 - -1*(sqrt(128) + sqrt(128) + sqrt(128)*-2 + sqrt(128))))**2.
45/16
Simplify ((sqrt(1620) + sqrt(1620)*-1)/((sqrt(150)/sqrt(5))/sqrt(6)))/(-2*(sqrt(56)/sqrt(7))/sqrt(4)*4).
0
Simplify -1 + (5*(sqrt(133)*-1 - sqrt(133)))/(5*sqrt(35)/sqrt(5)) + (sqrt(2299) + 4)**2 + 5 + 5.
86*sqrt(19) + 2324
Simplify ((2*sqrt(153)*3)/((sqrt(9) - (sqrt(54)/sqrt(6) + sqrt(9)))*3) - (-6*(sqrt(187) + sqrt(187)*-2 + sqrt(187) + sqrt(187)))/(sqrt(44)/sqrt(4)*1))**2.
272
Simplify (-5*(5 + -1*sqrt(891)*-5) - 3*((-2*(sqrt(891) + -2) - sqrt(891)) + -3))**2.
8064*sqrt(11) + 228880
Simplify (4*(-5 + -4 + (5 + (sqrt(147) - -1*sqrt(147)) + 1 + sqrt(147) + 1)*6 + 2))**2.
141120*sqrt(3) + 781648
Simplify 6*(-3 + (4 + (sqrt(72) - 4*(sqrt(72) + -1)) + -5 + (-2*(sqrt(72) + 0) - sqrt(72)))**2).
-1296*sqrt(2) + 15588
Simplify ((sqrt(77) + (sqrt(77) + sqrt(77)*-2)*5)*1*1)/((sqrt(11) - -4*sqrt(396)) + sqrt(11) - (sqrt(704) - (sqrt(704) - (sqrt(704)*2 - sqrt(704))))) + -2.
-2 - 2*sqrt(7)/9
Simplify (-4*4*4*(-3 + 0 + sqrt(475) + 4 + -4*sqrt(475)*-1)*-3)**2.
1843200*sqrt(19) + 437796864
Simplify 4*(1*sqrt(605) + -1)**2*5 + ((sqrt(70)/(-1*sqrt(7) - sqrt(7)))/(sqrt(200) + (-2*sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))*3)**2.
-440*sqrt(5) + 3878409/320
Simplify ((sqrt(11) + sqrt(11) + 3)*4 - 5*(sqrt(11) - sqrt(77)/sqrt(7))**2 - 4*(sqrt(539) - (-1 + sqrt(539))*-5)**2)*-2*-2.
-310816 + 6752*sqrt(11)
Simplify (sqrt(5700)*-3)/(sqrt(3) + sqrt(84)/sqrt(7)) - (-2 + sqrt(475)*1 + 1 + sqrt(1539) + 2).
-24*sqrt(19) - 1
Simplify (((1 + sqrt(1008) + -4)*-4 - -4*sqrt(1008)*2*-3) + 4)**2*5*1.
-53760*sqrt(7) + 3952640
Simplify ((sqrt(84)*-1)/sqrt(6) + 3*sqrt(686))/((sqrt(1008) + (sqrt(1008) - -2*sqrt(1008) - sqrt(1008)) + sqrt(1008) - sqrt(1008) - sqrt(7) - sqrt(7))*-2*-4).
5*sqrt(2)/68
Simplify (-1*(2*sqrt(175) + -5) - (1 + (1 + sqrt(175))**2 + -2)) + 2.
-168 - 20*sqrt(7)
Simplify (-1*sqrt(6534)*5)/((1*sqrt(750))/(-3*sqrt(30)/sqrt(3))).
99*sqrt(2)
Simplify (-3*sqrt(96)*-1 + sqrt(96) + (sqrt(96)*-1 - sqrt(96))*-5)/((sqrt(1440) + (-3*sqrt(1440) - sqrt(1440)))/(sqrt(45)/(sqrt(54)/sqrt(6)))).
-14*sqrt(3)/9
Simplify -3*(0 + sqrt(72) + -4 + sqrt(72) - sqrt(72)*-2*4 - (sqrt(72)*4*-6 - sqrt(72))*4).
-1980*sqrt(2) + 12
Simplify -5 + 4*(sqrt(432) + -1)**2*2 - (sqrt(147) + 2 + 2 + (sqrt(147) + 2*sqrt(147))*-4)**2.
-14344 + 424*sqrt(3)
Simplify (((sqrt(102) - (sqrt(102)*1*2 + sqrt(102)))*2*-3*-4)/(-3*(sqrt(600)*-2 + sqrt(378)/sqrt(7))))**2.
256/17
Simplify (-1*-3*sqrt(104) - (sqrt(104) - sqrt(104)*4)*6)/(sqrt(8) + 5*sqrt(24)/sqrt(3) + -2*sqrt(8)*-2).
21*sqrt(13)/10
Simplify (1*-2*sqrt(153) + (sqrt(153) - (sqrt(153) + 3*sqrt(153) + sqrt(153)))*6)/((-1*sqrt(54) + sqrt(54) - sqrt(54))/sqrt(6) + (sqrt(324) + sqrt(9))*4).
-26*sqrt(17)/27
Simplify (sqrt(1300) - (5 + -1*sqrt(1300)) - (sqrt(1300) - (2 + sqrt(1300))*3)**2) + 3 + (3 + 2 + sqrt(1300) + 0)**2.
-3913 - 120*sqrt(13)
Simplify (-3*(0 + sqrt(720) + 3) + -1)**2 + (1*sqrt(80)/sqrt(2))/(sqrt(72)*2).
4321*sqrt(5)/6 + 6580
Simplify ((4*sqrt(209)*-2)/((sqrt(121)*2 + sqrt(121))/sqrt(11)) + (sqrt(95)/(sqrt(20)/sqrt(4)) - 2*sqrt(19)*-1))**2.
19/9
Simplify (sqrt(40)/sqrt(5)*2 + (sqrt(128) + sqrt(128)*-3 - sqrt(128)))/((sqrt(160)/sqrt(10) + sqrt(400) + 2*sqrt(400) + sqrt(400))*2).
-5*sqrt | {
"pile_set_name": "DM Mathematics"
} |
- 4. Let h(d) = -6*d**2 - 4*d + 14. Let a(s) = s**3 - 10*s**2 - 9*s + 27. Let q(p) = 3*a(p) - 5*h(p). What is -7*l(w) - 2*q(w)?
w**3 + 6
Let f be (-1)/(((-3)/2)/(-3)). Let o = -5 + 6. Let y(p) = o + 6*p + 15 + 5*p + p**2. Let l(i) = 2*i + 3. Calculate f*y(d) + 11*l(d).
-2*d**2 + 1
Let m(d) = 4*d**2 + 8*d - 23. Let w(y) = y**2 + 3*y - 9. Give 3*m(k) - 8*w(k).
4*k**2 + 3
Let c(p) = -9*p - 5. Let o(k) = -9*k - 3. Let g(u) = -3*c(u) + 4*o(u). Let y(d) = 1 + 0 - 136*d + 132*d. Determine -2*g(b) + 5*y(b).
-2*b - 1
Let z(h) = -11*h + 8. Let r be z(0). Let p = 6 - 4. Let n(s) = r + 7 - s**p - 17. Let j(t) = 6*t**2 + t + 10. Give -2*j(b) - 11*n(b).
-b**2 - 2*b + 2
Let b(p) be the third derivative of -p**5/15 - 7*p**4/24 - 13*p**3/6 + 8*p**2 + 3. Let j(v) = -v**2 - 2*v - 4. Calculate -4*b(i) + 14*j(i).
2*i**2 - 4
Let i(n) = -4*n**3 - 3*n**2 + 15*n. Let y(l) = -l**3 - 2*l**2 + 3*l + 1. Give -i(m) + 5*y(m).
-m**3 - 7*m**2 + 5
Let w(u) = -71*u - 7. Let z(s) = -50*s - 7. Let a(v) = -2*w(v) + 3*z(v). Let d(g) be the second derivative of g**3/6 + g**2/2 + g. What is a(q) + 6*d(q)?
-2*q - 1
Let d(c) = 4*c - 6. Let m(t) = 13*t - 1. Let o(u) = -11*u + 1. Let r(s) = 5*m(s) + 6*o(s). Give d(l) + 2*r(l).
2*l - 4
Let c(j) = -245*j**2 + 6*j - 11. Let s(o) = 490*o**2 - 13*o + 24. Calculate 13*c(u) + 6*s(u).
-245*u**2 + 1
Let n be (-1 - (-1 - -1))*-3. Let r(p) = -13*p + 42. Let f be r(n). Let x(i) = -1 - 4*i + 0*i + 4. Let y(a) = 5*a - 4. Calculate f*x(l) + 2*y(l).
-2*l + 1
Let j(x) = -7*x**3 + 6*x**2 + 10*x - 149. Let c(s) = 6*s**3 - 5*s**2 - 8*s + 150. What is -5*c(i) - 4*j(i)?
-2*i**3 + i**2 - 154
Let q be (6/((-18)/(-3)))/1. Let n(v) = 4*v**3 - v**2 - 2*v**3 - 3*v**3. Let z(j) = 3*j**3 + 2*j**2 + j**2 - j**2. What is q*z(f) + 2*n(f)?
f**3
Let g(b) = -6*b**2 - 1. Let f be ((-6)/(-6 - -7))/((-6)/(-4)). Let h(s) = s**2 - 1. Give f*h(u) - g(u).
2*u**2 + 5
Let y(f) = -2*f + 3. Let g(u) = -u + 3. Let b(l) = -3*g(l) + 2*y(l). Let j = 91 + -42. Let s be (-34)/(-14) - 21/j. Let q(c) = -2. What is s*b(x) - 3*q(x)?
-2*x
Let d(q) = -35*q**2 + 4*q - 7. Let x(h) = 18*h**2 - 2*h + 3. Calculate 2*d(y) + 5*x(y).
20*y**2 - 2*y + 1
Let z(i) = -i**3 - 35*i**2 - 14*i**2 + 50*i**2. Let y(d) = -6*d**3 + 5*d**2. Let m(s) = -s - 8. Let u be m(-14). Give u*y(c) - 30*z(c).
-6*c**3
Let b be (-4)/(-14) + (-38)/(-14). Suppose -3*l - 1 = s, 3*l + 240 - 274 = 4*s. Let v(u) = 2*u**2 + 5*u. Let g(o) = 5*o**2 + 11*o. Give b*g(p) + s*v(p).
p**2 - 2*p
Let o(t) = 9*t + 5. Let f(h) = -10*h - 3. Let u(n) = 26*n + 8. Let j(k) = 10*f(k) + 4*u(k). Calculate 10*j(d) - 4*o(d).
4*d
Let p(n) = -3*n - 36. Let k(x) = 4*x + 34. Determine -5*k(m) - 4*p(m).
-8*m - 26
Suppose n + 7 - 10 = 0, -2*n + 18 = -3*y. Let d(z) = z**2. Let l(v) = 6*v**2 - 3. Give y*d(b) + l(b).
2*b**2 - 3
Let u(r) = -r**3 + r**2. Let l(c) = -c**3 - c**2 + c - 21. Give -l(n) - u(n).
2*n**3 - n + 21
Let b(l) = 35*l - 2. Let w(d) = 17*d - 1. Give -4*b(g) + 10*w(g).
30*g - 2
Suppose 5*l - l - 14 = g, 3*g - 8 = 2*l. Let o(s) = 4*s**2 - s - 3. Let j(n) = 5*n**2 - 2*n - 4. Give g*o(x) - 5*j(x).
-x**2 + 4*x + 2
Let x(c) = -2*c**2 + 2*c - 3. Let u(l) = 2*l - 4*l + l**2 + 11531 - 11529. What is -3*u(r) - 2*x(r)?
r**2 + 2*r
Let y = 25 - 28. Let v(f) = -3*f**2 + 2*f + 3. Let w(b) = -6*b**2 + 4*b + 5. What is y*w(u) + 5*v(u)?
3*u**2 - 2*u
Let t(v) = 4*v**2 + 15. Let f(m) = -m**2 - 4. Let x be ((-38)/(-2) + -4)*(-6)/10. What is x*f(d) - 2*t(d)?
d**2 + 6
Let b(c) = -8*c**2 - 3*c + 1. Let i(x) = 12*x + 17*x - 7*x**2 - 31*x. What is -2*b(t) + 3*i(t)?
-5*t**2 - 2
Let y(l) = 4*l**2 - 4*l. Let w(g) = g**2 - g - 1. Calculate -2*w(x) + y(x).
2*x**2 - 2*x + 2
Let q(j) = 3*j + 23 - 8 - 3 + 10 - 4. Let d(h) = -4*h. Let a(f) = -5*f - 1. Let v(p) = 5*a(p) - 6*d(p). Determine 5*q(g) + 18*v(g).
-3*g
Let v(u) be the first derivative of 23*u**2 + 5*u + 589. Let i(s) = 69*s + 8. Determine 5*i(o) - 8*v(o).
-23*o
Let h(c) = 2*c + 5 - 2*c + 6*c. Let y(r) = -16*r + 1. Let q(i) = 11*i - 5. Let x(s) = -q(s) - y(s). Determine 6*h(u) - 7*x(u).
u + 2
Let h(z) = 2*z**3 - 9*z**2 + 7. Let t(k) = -k**3 + 8*k**2 - 7. Determine 3*h(s) + 4*t(s).
2*s**3 + 5*s**2 - 7
Let q(t) = 13*t - 10. Let o(a) = -6*a + 5. What is -5*o(g) - 2*q(g)?
4*g - 5
Let k(o) = -3*o**3 - 6*o**2 + 2*o - 4. Let y(m) = 2*m**3 + 5*m**2 - m + 4. Give 3*k(i) + 4*y(i).
-i**3 + 2*i**2 + 2*i + 4
Let m(x) = -2*x**3 + 7*x**2 + 6*x - 8. Let f(o) = 6*o**3 - 20*o**2 - 19*o + 23. Determine -6*f(n) - 17*m(n).
-2*n**3 + n**2 + 12*n - 2
Let m(h) = -h - 1. Suppose -144*n = -249*n + 149*n + 88. Let t(v) be the first derivative of 8*v**2 + 14*v + 1. Determine n*t(i) - 28*m(i).
-4*i
Let g(k) = -3*k + 2. Let y(c) = 19*c**2 + 13*c - 7. Let d(n) = 11*n**2 + 6*n - 3. Let x(l) = -7*d(l) + 4*y(l). Calculate 7*g(z) + 2*x(z).
-2*z**2 - z
Let c(a) = -30*a + 21. Let g(n) = -6*n + 4. Suppose 148 = 26*o + 11*o. Give o*c(i) - 21*g(i).
6*i
Suppose 0 = 12*q - 50*q - 38. Let u(f) = f**3 + f**2. Let s(w) = -4*w**3 - 2*w**2 - 1. Suppose 3*d = -1 - 5. Calculate d*u(r) + q*s(r).
2*r**3 + 1
Let v(i) = -i**2 - 1. Suppose -5*r = 2*n - 0*n - 4, 4*n + 2*r = 8. Let m(o) = 50*o**2 - 49*o**2 - 3*o + 6*o - 4*o. Give n*m(p) + v(p).
p**2 - 2*p - 1
Let t(h) = -7*h + 11. Let b(g) be the second derivative of -g**3/2 + 5*g**2/2 + 312*g. Give 5*b(k) - 2*t(k).
-k + 3
Let o(m) = -20*m**2 + 8*m + 11. Suppose -2 = -2*p - 2*i, 0 = 13*i - 16*i - 6. Let r(z) = 7*z**2 - 3*z - 4. What is p*o(n) + 8*r(n)?
-4*n**2 + 1
Let d(v) = 5*v**3 + 2*v**2 - 2*v + 2. Suppose 0 = -2*j + 39*j - 222. Let t(y) = -6*y**3 - 3*y**2 + 3*y - 3. Determine j*d(z) + 4*t(z).
6*z**3
Let v(q) = 5*q**2 + 2*q - 3. Let g(p) = 6*p**2 + 3*p - 4. Let j(c) = c**3 + 9*c**2 + 7*c + 66. Let r be j(-9). Calculate r*v(t) - 2*g(t).
3*t**2 - 1
Let v(c) = -8*c - 2. Let q(k) = 25*k + 7. Let m be (-5 + 2)/(54/(-126)). Suppose 3*z + z = 8. Determine m*v(b) + z*q(b).
-6*b
Let u(p) = -p - 1. Let z(j) = 52 - 81 + 36. Calculate 7*u(a) + z(a).
-7*a
Suppose -18 = 4*n + 2*d, 8*d + 32 = -9*n + 13*n. Let s(l) be the second derivative of -l**2/2 - l. Let i(k) = -k - 4. Give n*i(x) + 10*s(x).
2*x - 2
Let t(o) = 12*o + 2 + 7*o + 2 - 20*o. Let s(z) = 1. Let k(h) = 4*s(h) - t(h). Let b(p) = -6*p. Calculate b(n) + 5*k(n).
-n
Let u(l) = 110*l - 34. Let y(j) = 55*j - 16. Determine 6*u(o) - 13*y(o).
-55*o + 4
Let w(p) = 23*p + 8. Let o(v) = 8*v + 3. Suppose 38*j - 66 = -4*d + 39*j, 0 = d - 2*j - 13. Determine d*o(g) - 6*w(g).
-2*g + 3
Let p(b) = -17*b**3 - 5*b**2 + 43. Let k(v) = 9*v**3 + 2*v**2 - 21. What is -5*k(s) - 2*p(s)?
-11*s**3 + 19
Let w(d) = d**3 - d**2 + 9*d - 42. Let z be w(3). Let m(p) = -p**2 + p + 1. Let o = 1 + 0. Let t(g) = g**2 - 5*g - 2. Determine o*t(c) + z*m(c).
-2*c**2 - 2*c + 1
Let w(f) = 2*f - 1. Let m = 21 + 0. Let y(p) = 24*p + m*p - 43*p - 1. What is 4*w(t) - 5*y(t)?
-2*t + 1
Let x(t) = -10*t**2 + 6*t - 4. Let m(i) = -i**2 + i - 1. Give -2*m(k) + x(k).
-8*k**2 + 4*k - 2
Let m(p) = -4*p + 4. Let h(a) = -9*a + 8. Let n be (16/(-48))/(((-1)/(-21))/1). Let v be (0 - 3) + (-6)/(-1). Give n*m(s) + v*h(s).
s - 4
Let m(v) = 3*v + 12 - 10 + 0. Let i(l) = 16*l + 11. Calculate -6*i(d) + 33*m(d).
3*d
Let u = 875 + -872. Let j(z) = -z + 1. Let r(n) = 11*n**2 - 3*n + 3. Determine u*j(a) - r(a).
-11*a**2
Let b(z) = -5*z**2 + 3*z + 4. Let p(q) = 9*q**2 - 7*q - 7. Calculate 5*b(m) + 3*p(m).
2*m**2 - 6*m - 1
Let t(h) = -h**3 - 10*h**2 - 5*h - 45. Let x be t(-10). Let z(c) = 7*c**3 - 5*c**2 - 3*c + 5. Let g(v) = 4*v**3 - 3*v**2 - v + 3. Calculate x*g(j) - 3*z(j).
-j**3 + 4*j
Let k(v) = v**2 - v. Let n(m) be the first derivative of -m**4/24 - 12*m**2 + 25. Let p(g) be the second derivative of n(g). Calculate k(r) - p(r).
r**2
Let l(p) = -p**3 + 3*p**2 + 8*p - 1. Let w(a) = a**2 - 1. Determine 2*l(b) - 2*w(b).
-2*b**3 + 4*b**2 + 16*b
Suppose 0 = l + 9 - 12. Let m = 9 - l. Suppose -m*n = -2*n - 8. Let v(a) = -13*a**3 - 4*a**2 - 7*a. Let q(h) = 4*h**3 + h**2 + 2*h. What is n*v(j) + 7*q(j)?
2*j**3 - j**2
Let z(h) = 46. Let d(s) = -33. Let b(j) = 3*d(j) + 2*z(j). Let v(l) = -l + 8. Calculate 5*b(w) + 4*v(w).
-4*w - 3
Let i = -49 + 53. Let h(s) = -5*s - 12 + 0*s**2 + i + 3*s**2. Let y(f) = -2*f**2 + 3*f + 5. Give 5*h(c) + 8*y(c).
-c**2 - c
Let t(c) be the second derivative of -5*c**3/3 - 3*c**2/2 + 19*c. Let r(x) = -11*x - 4. Calculate -2* | {
"pile_set_name": "DM Mathematics"
} |
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