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14514. Calculate the greatest common factor of 13 and g.
13
Let q be (-60)/(-90)*(-54)/(-1). What is the highest common factor of 684 and q?
36
Let k = -1426 + 1431. Let o be (-4 - 1)/(1/(-7)). Calculate the greatest common divisor of k and o.
5
Let l(z) = 22*z - 629. Let t be l(48). What is the greatest common factor of t and 244?
61
Let r(y) = y**2 - 6*y + 67. Let c be r(4). Calculate the greatest common factor of c and 1.
1
Let w = -5 + -2. Let n = -52 - -90. Let q = n - w. What is the highest common factor of 5 and q?
5
Let y be (779/35 - (-21)/35)*7. Calculate the highest common factor of y and 128.
32
Let q(k) = 4*k**2 + 3*k + 6. Let s = -21 + 26. Let a be q(s). Let v be ((-2)/(4/(-22)))/1. What is the greatest common divisor of v and a?
11
Let i(q) = -2*q**3 + 12*q**2 - 5*q - 13. Let f be i(4). What is the greatest common divisor of 3503 and f?
31
Let b = -14 + 16. Suppose b*n - 4 = -0*n. Calculate the highest common factor of n and 10.
2
Let i = -8 + 0. Let b be (-4)/i + 5/(-10). Suppose b = d + 3 - 4. Calculate the greatest common factor of 1 and d.
1
Suppose -3*d = -5*l - 252, -2*l + d = 2*l + 203. Let z = -38 - l. What is the greatest common factor of 143 and z?
13
Let p be 29/(-145) + 216/5. What is the highest common divisor of p and 86?
43
Let j(x) = 4*x + 18. Let o be j(3). Let f = 34 - o. Calculate the highest common divisor of 2 and f.
2
Let a be (5 + 37/(-3))*-12. What is the greatest common divisor of 286 and a?
22
Let i(d) = 72*d**2 + 12. Let n be i(-3). What is the highest common factor of n and 36?
12
Let a = -870 - -1478. Calculate the greatest common factor of a and 19.
19
Let t(i) = i**2 - 6*i - 47. Let j be t(11). What is the highest common factor of 8 and j?
8
Let a(i) = 3*i**2 - i - 5. Let x be a(2). What is the highest common divisor of 85 and x?
5
Let w(j) = -15*j. Let q be w(-2). Let p be (-375)/75 + (-20)/(-1). Calculate the highest common divisor of q and p.
15
Suppose 2*k - 197 = 167. Let i(x) = -8*x + 598. Let t be i(73). Calculate the highest common divisor of t and k.
14
Suppose -3 = 3*l - 153. Let y = l - 10. Let u be 0 + -1 + 3 + y. What is the highest common factor of u and 21?
21
Let u = 7 + 1. Suppose -3*l + u + 7 = 0. Suppose -2*m - 2*t + 3*t = -25, 73 = l*m + t. What is the highest common factor of m and 14?
14
Let u be (-9)/(-1 + (-2)/(-4)). Let x be 44/16 + -2*5/(-40). Suppose 4 = -2*c + w + 26, -31 = -x*c + w. Calculate the greatest common factor of c and u.
9
Let m = 398 - 370. What is the highest common divisor of m and 14?
14
Let c(i) = i**3 + 10*i**2 + 6*i - 20. Let s be c(-8). What is the highest common divisor of s and 345?
15
Let n be (-4)/(-6) - 2744/(-294). Let m = 7 + 18. What is the highest common factor of n and m?
5
Suppose -2*v + 5*z + 79 - 14 = 0, -2 = 2*z. Let h = v - 25. What is the highest common divisor of h and 40?
5
Let k = 21 + -19. Suppose 0*x - k*x = -48. Let l = -15 + x. Calculate the highest common factor of l and 45.
9
Suppose 460 = 27*z - 23*z. What is the highest common divisor of z and 69?
23
Let j = 48 - 48. Suppose -40*t + 41*t - 30 = j. What is the highest common divisor of 150 and t?
30
Let i(p) = -p**3 - 7*p**2 + 17*p - 31. Let b be i(-12). Calculate the highest common factor of 5 and b.
5
Suppose 0 = 52*v + 6*v - 4872. Calculate the greatest common divisor of v and 156.
12
Let y(i) = -i**2 + 20*i + 46. Let l be y(22). Suppose l*x - 39 = -x. What is the greatest common divisor of x and 65?
13
Let h(z) be the third derivative of -7*z**4/12 - 10*z**3/3 + 9*z**2. Let a be h(-10). What is the greatest common divisor of a and 20?
20
Suppose 0*g - 4*n = -4*g + 428, 103 = g - 5*n. Suppose -4*a = 3*y + 39, 3*y = 15 - 6. Let p be 0*(-5)/15 - a. What is the highest common divisor of p and g?
12
Suppose -112 + 14 = -2*t. Let x be (4 - 4)*(1 - 0). Suppose y - t = -3*d - x*y, -3*d - 4*y = -52. Calculate the highest common factor of d and 64.
16
Let m(k) = k**3 - 8*k**2 + 9*k - 6. Let i be m(7). Let a = i + -9. Let y be (18/(-7))/(a/14). What is the greatest common divisor of 9 and y?
9
Let g(l) = 4*l + 8 + 3*l**2 - 6*l**2 - 10. Let i be g(2). Let h be 0 - (i - 0/4). What is the highest common factor of 30 and h?
6
Let p = -3 + 4. Let d = 167 + -160. Calculate the greatest common divisor of p and d.
1
Suppose -2*x = -2*u + 30 + 14, 5*u - 3*x = 104. Calculate the highest common factor of u and 19.
19
Let a(b) = -b**3 + 10*b**2 - 8*b - 8. Let m be a(9). Let u = -2 + m. Let p be u + 16 + -8 + 5. Calculate the highest common divisor of p and 132.
12
Suppose -2 = 4*q + 6. Let g be 3 + -4 + (47 - q). Calculate the highest common factor of g and 8.
8
Let l be 2772/(-165)*(-10)/3. Let f = 6 + -10. Let k = 10 - f. Calculate the greatest common divisor of k and l.
14
Suppose 0 = -q + 20 + 36. Suppose 4*o - 328 = -4*x, 0 = -5*o - 2*x + 5*x + 386. Let z = 87 - o. Calculate the highest common divisor of z and q.
8
Suppose 30 = 3*z - 21. Let v = z - 24. Let x = v - -25. What is the greatest common factor of 36 and x?
18
Suppose -87 = -7*h + 284. What is the highest common divisor of 2703 and h?
53
Let t be ((-8)/(-10) - 12/40)*6. Suppose 5 = t*r - 7. Let a = 1 + 1. Calculate the highest common divisor of a and r.
2
Let a be (11/(-33))/((-3)/63). Suppose -11*c + a*c + 48 = 0. What is the greatest common divisor of c and 6?
6
Suppose 7*w - 11 - 528 = 0. Calculate the greatest common factor of w and 44.
11
Let k be (4 - 8 - -85 - 0)*2. What is the highest common divisor of k and 24?
6
Suppose 0 = 11*o - 7 - 37. Suppose 0 = 2*x + 4*c - 7*c - 78, -3*x + 118 = -o*c. What is the highest common divisor of 6 and x?
6
Let s(c) = 13*c + 182. Let o be s(-11). Calculate the greatest common factor of o and 6.
3
Let u = 1092 + -1047. Suppose -6*k + 72 = -2*k. Calculate the greatest common divisor of u and k.
9
Let c(b) be the second derivative of -5*b**3/6 - b**2/2 + 8*b. Let i be c(-3). Calculate the highest common factor of 56 and i.
14
Let h = 7 - -16. Let g be (18/(-15))/(6/(-460)). Calculate the highest common divisor of g and h.
23
Suppose 4*d - 2 = -4*m + 2, -3*m - 5*d = 7. Let h(a) = 5*a - 10*a - 9 - 7*a + 0*a - a**2. Let s be h(-11). What is the highest common divisor of m and s?
2
Let k = 267 - 169. Suppose -7*n + 10*n - 42 = 0. What is the greatest common factor of n and k?
14
Let c be (-4)/((9 - 7)*(-2)/16). Let f be (14/(-6))/(c/(-12))*12. What is the greatest common factor of f and 147?
21
Let v be 207 - 2 - (-2 - -3). What is the greatest common factor of v and 12?
12
Suppose 157 = 3*n - 5*a, 3*n + 3*a = 5*n - 106. Suppose 2*y = -t + 35, -5*y + 5*t + n = -2*y. What is the greatest common divisor of 2 and y?
2
Let r be ((-153)/18 + 8)/(4/(-24)). Suppose n + 3*n = 0. Let h(u) = u**2 + 3. Let i be h(n). Calculate the highest common factor of r and i.
3
Let s(j) = 7*j**2 - j + 1. Let n be s(1). Let o be 8 - (-3 - 0/1). Let u = o + 17. What is the greatest common factor of n and u?
7
Suppose 47*l - 50*l = 1005. Let d be (-8)/52 - l/65. Calculate the greatest common factor of d and 15.
5
Suppose z = -2*d - 2*z + 441, -z - 1111 = -5*d. Suppose 3*s - b - 129 = -3*b, -b + d = 5*s. What is the highest common divisor of 18 and s?
9
Suppose -5*x + 4*j = -10 - 105, 0 = 3*j - 15. Suppose -2*m - 7 = -x. Calculate the highest common factor of m and 15.
5
Suppose 3 = l + 6, 5*n - 3*l = -1. Let v be n + (-4)/(-4) - -41. Calculate the greatest common factor of 8 and v.
8
Suppose 4*c = 37 + 3. Suppose 2*r + 4 - c = 0. Suppose 2*z = -h + 54, -2*h + 3*h - 81 = -3*z. Calculate the greatest common divisor of r and z.
3
Let l(v) = 0 + 11*v + 32*v**2 + 1 - 10*v + 129*v**2. Let p be l(-1). Calculate the greatest common factor of 23 and p.
23
Suppose -170*m + 167*m = -288. Suppose 0 = -3*c + 6 + 66. Calculate the greatest common divisor of m and c.
24
Suppose 5*b = -6*o + 3*o + 65, 5*b - 25 = 5*o. What is the highest common factor of 110 and b?
10
Let z = -320 - -496. Let w(s) = -s**3 - 8*s**2 + s + 7. Let a be w(-7). Let g = -27 - a. What is the highest common factor of g and z?
22
Let k be (-1)/((-6)/(-7) + (-1160)/1288). Calculate the highest common divisor of 713 and k.
23
Suppose -155*a + 160*a - 1060 = 0. Calculate the greatest common divisor of 4 and a.
4
Let r(j) = 2*j + 9. Let a be r(-7). Let z = 10 + a
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5*r + 51 - 25 = 2*k for r.
-4
Solve 5*i + 5*w - 44 = -74, 14 = -2*i - 4*w for i.
-5
Solve 13 = -v - 2*o, -3*o + 22 = -4*v + 25 for v.
-3
Solve -w - 3 = -2*l, -4*l = 3*w - 0 - 11 for l.
2
Solve -120*f - 1 = -119*f + 5*u, -4*u + 8 = 3*f for f.
4
Solve 3*c + f = -c + 18, c - 3 = -f for c.
5
Solve m + 4*v + 15 = -2*m, 0 = 2*m - 2*v + 10 for m.
-5
Solve 4*i + 23 = -5*g, -4*i + 5*g + 7 = -0*g for i.
-2
Solve -4 = 2*v + v + p, -4*p = -8 for v.
-2
Solve -15*k - 4*t = -10*k - 45, 7*k - 45 = -2*t for k.
5
Solve 0 = -4*w + a - 5, -4*a = -w - 20 for w.
0
Solve v = 3*c + c - 11, -5*c = -v - 14 for v.
1
Solve -r + 3*s = 52 - 38, 0 = -4*s + 20 for r.
1
Solve -4*i + 4 = -0*i, -5 = 3*p + 4*i for p.
-3
Solve 4*l - h + 15 = 0, 5*h + 0*h = -l - 30 for l.
-5
Solve -2*r = -7*r + q + 12, -5*r + 18 = q for r.
3
Solve 11*m - 13*m + 5*x = 35, 4*x - 5 = -3*m for m.
-5
Solve -z + j - 2 = 0, -j + 0*j + 2 = -5*z for z.
0
Solve 0 = 5*r - 6*r - 5*s, 4 = 4*s for r.
-5
Solve -35*b + 30*b = -f - 26, -2*f = 4*b - 18 for b.
5
Solve o - 3*l + 624 = 638, -l - 9 = 4*o for o.
-1
Solve 0 = -4*n - 5*x + 13, 3*n - 6 = -x - 10 for n.
-3
Solve -l = -r - 3, 21*r + 2*l = 26*r + 3 for r.
1
Solve 5*l = 4*h - 2*h + 8, -2*l - 4 = h for l.
0
Solve j + 4*z + 5 = 0, 0*z = 5*j - 3*z + 2 for j.
-1
Solve 3*f - 3 = -2*n, 0 = -5*f + 6*f + 1 for n.
3
Solve -19*l = -22*l - 4*o + 5, 2*l - 5 = -o for l.
3
Solve s + 5*u - 10 = -31, -4 = u for s.
-1
Solve 11 = h + 4*v, 8*v - 10*v = 4*h + 12 for h.
-5
Solve 2*a - 35 = -5*n, -4*a + 2*n + 30 = 4*n for a.
5
Solve 0 = -3*s - 12, -4*s = -5*h + 9*h for h.
4
Solve 6*j = 4*k + 2*j - 8, 0 = -4*k - 4*j + 32 for k.
5
Solve -24*m - 5*k - 35 = -28*m, k - 22 = -5*m for m.
5
Solve 3*c + 4 = 2*u, c - 2 = -u + 5*u for u.
-1
Solve 2*b + 6*z = z + 23, 4*z = -3*b + 24 for b.
4
Solve k - 2*m - 2 = -2*k, 0 = 5*m + 20 for k.
-2
Solve 0 = -2*l + 2, -7 = 3*p + 5*l - 18 for p.
2
Solve 0 = -20*v + 23*v + 3*d, -4*d = -v - 20 for v.
-4
Solve 13 = 2*x + 3*s, -7*x + 2*x + 29 = 4*s for x.
5
Solve -2*j - 4 = v, 5*j - 1 = -4*v - 14 for j.
-1
Solve -3*p - 4*g + 5 = 0, 5*p - 10 - 3 = -2*g for p.
3
Solve 17*d - 13*d + 2*t + 2 = 0, 5*t + 5 = -4*d for d.
0
Solve 0 = -s - 2, 5*h - 22 = -3*s - 3 for h.
5
Solve 12 = -3*q - 4*v + 38, -v + 15 = 5*q for q.
2
Solve 4*v + 13 = -5*w + 7*v, 0 = 4*w - 3*v + 8 for w.
-5
Solve 35 - 15 = 2*s + 5*v, s + 2*v - 9 = 0 for s.
5
Solve -5*l = 5*o, 3*l - 9*o + 6*o - 12 = 0 for l.
2
Solve -12 = 5*c + 2*o, -26*o + 25*o + 28 = -6*c for c.
-4
Solve 0 = 2*j + 4*c - 26, -4*j - 4*c = -5*j - 17 for j.
3
Solve 5*s = -2*o + 19, 4 = 4*o - 4 for s.
3
Solve -2*k - u = 0, 4*u = -2*k + 5*k for k.
0
Solve -2*c + 5*i - 5 = 0, -2*c = 3*i - 4 + 1 for c.
0
Solve 0 = x - 4*w - 35, x - w - 9 = 2 for x.
3
Solve -4*u - 3 = -5*a, 5*a - 3*u - 5 = 2*u for a.
-1
Solve 3*o - 2*p = 14, -3*o - 8*p + 10 = -6*p for o.
4
Solve -5 - 6 = 5*y + 4*f, -14 = 3*y - 5*f for y.
-3
Solve -u + 0 = -l - 1, 4*l + 6 = 2*u for l.
-2
Solve -75 + 63 = 3*j, -3*j = 2*b + 14 for b.
-1
Solve -4*f + s = 18 + 2, 0 = 2*f - 5*s + 10 for f.
-5
Solve 4*z + 28 = -4*t, 0 = 2*t - 3*t - 3 for z.
-4
Solve -9*b = -5*b - 5*d + 11, 3*b - d = 0 for b.
1
Solve 0 = a + 3*v - 9, 21*a - 20*a + 3 = 3*v for a.
3
Solve -x - 51*u + 48*u + 2 = 0, -u = -2*x - 17 for x.
-7
Solve -f = 2*o + 3, -o = 5*f - 12 + 27 for o.
0
Solve -2*o + 2*d = -8, -d + 14 = 5*o - 3*d for o.
2
Solve 4*x = i - 14 - 15, -3*i = x - 9 for x.
-6
Solve 3*b = -b + 2*d - 26, -19 = 2*b - 3*d for b.
-5
Solve -d + 14 = 5*h, h + d = 5*h - 13 for h.
3
Solve 4*v - 2*v = q - 7, 4*q = v + 14 for v.
-2
Solve -34*r + 5*v = -37*r + 8, 2 = -2*r + 4*v for r.
1
Solve 22 = o + 5*p, 15*p - 12 = 12*p for o.
2
Solve -4*z = -2*l + 8, 8 = 2*l - 0*z + 2*z for l.
4
Solve -62 + 85 = 5*n + 2*a, -5*a = 3*n - 29 for n.
3
Solve -9*v - 2*z = -5*v + 12, 5*v - 5*z = 15 for v.
-1
Solve -n = 26 - 29, 3*n - 4 = -5*y for y.
-1
Solve 6*o - 4*o + w = -5, -2*w = -3*o - 11 for o.
-3
Solve 0 = 3*o - 55*u + 57*u + 17, -4*o + 2*u = 4 for o.
-3
Solve -3*i = -2*f + 5, -2*f - 30 = -0*f + 4*i for f.
-5
Solve 0 = -5*o - 3*t + 2, 9*t = -o + 6*t - 2 for o.
1
Solve -2*p + 4*w + 8 = 0, p + 2*w - 2 = -10 for p.
-2
Solve j - 1 = 4*m, -3*m - 2*j - 237 = -228 for m.
-1
Solve -3*z = 3*d, d = 4*d - 4*z + 21 for d.
-3
Solve 9*d - 8 = 7*d - 2*i, 0 = -2*d - 4*i + 6 for d.
5
Solve -2*n = 3*w + 3 - 2, 18 = 3*n - 2*w for n.
4
Solve -5*t - z + 9 = 17, 8 = t + 5*z for t.
-2
Solve 5*o - 5 = -5*x, 340*o = 342*o + 4*x - 4 for o.
0
Solve -11 = -4*g - 3*x, 8*g + 4*x - 17 = 5*g for g.
-1
Solve -n + 2*l - 7*l = -18, 0 = -n - 2*l + 6 for n.
-2
Solve 2*t + 25 = -5*d, 2*t - 10*d + 1 = -7*d for t.
-5
Solve -2*v + 4*j - 5 = 1, -18 = 4*v - 2*j for v.
-5
Solve 3*b - b - 3*k = -1, 0 = -5*b + 4*k + 8 for b.
4
Solve -t = 3*g + 7, -2*g = -17*t + 19*t + 6 for t.
-1
Solve 13*z - 15*z - 4*k = -20, -3*z - k = -5 for z.
0
Solve 3*h - 2*u = -6*u - 20, -3*u + 14 = -5*h for h.
-4
Solve -2*d - 5 = -3*l - 4, 0 = 5*d - l - 4 for d.
1
Solve -5*m + 2*l = -1 + 14, 2*m + 4*l - 14 = 0 for m.
-1
Solve -4*n + 3 = -5*y, 5*y = 4*y + n for y.
-3
Solve 0 = 3*o + 4*t - 3, -o + 2 = -t - 6 for o.
5
Solve -3*q - 12 = -3*u, -2 = 5*q - 10*u + 14*u for q.
-2
Solve 2 = f, -9*d + 3*f + 4 = -7*d for d.
5
Solve g - 14 = -5*j, -2*j - 16 = -0*j - 5*g for j.
2
Solve 0 = -5*c - l - 3*l - 40, -4*c + 4*l = -4 for c.
-4
Solve -2*o - 2*b = -4, 0 = 4*o + b - 4 - 1 for o.
1
Solve -4*v + 4*t + 12 = 0, t - 12 = 4*v - 6*v for v.
5
Solve -3*y - 20 = -5*c, 4*c - c + 7 = -2*y for y.
-5
Solve 21 = 2*s - 3*v, 5*v + 13 = s + 3*v for s.
3
Solve -4*u = 0, 3*u + 0*u + 6 = 3*n for n.
2
Solve 0 = -7*b - t + 22, 2*b + 14 = t + 19 for b.
3
Solve 0 = 4*d + y - 1, 2*d + 1 = y - 0*y for d.
0
Solve 3*v + 21 = -3*x, -3*x + 8*v - 3*v + 19 = 0 for x.
-2
Solve 0 = -0*u + 3*u - 2*k - 14, 2*k = -5*u + 2 for u.
2
Solve -5*b - 15 = y, -15 = -0*y - 3*y + 5*b for y.
0
Solve -2*c + 0 = 2, -2*c - 1 = -d for d.
-1
Solve -t + 4*l = -23, -4*t + 2 = 17*l - 15*l for t.
3
Solve 5*h + 8 = 10*d - 6*d, 0 = 5*d + 5*h - 10 for d.
2
Solve g - v = 83 - 90, 0 = -4*g + 2*v - 18 for g.
-2
Solve 0 = -4*s + 4*p + 28, -8*s = -4*s - p - 19 for s.
4
Solve 0 = -0*n - 5*n - j - 8, -6 = -3*j for n.
-2
Solve 4*o - 3*o = 1, -3*g + 2*o + 1 = 0 for g.
1
Solve -2*m - 10 = 4*w, -w = -4*w - 3*m - 12 for w.
-1
Solve -2*j + 0*j = t + 3, 0 = -2*j - 5*t - 15 for j.
0
Solve w + 4*z + 9 - 4 = 0, 2*w - 5*z - 3 = 0 for w.
-1
Solve 0 = 3*x - 0*a - 5*a - 27, -a = -5*x + 23 for x.
4
Solve -2*r = l - 4, -r + 5*r - 8 = 5*l for r.
2
Solve -z = -3*g + z + 18, 0 = 5*g - z - 23 for g.
4
Solve 2*q = -2*w - 2*q - 8, -3*w = -3*q - 6 for w.
0
Solve 2*d + k = -4, 0*k = -2*d + 2*k - 10 for d.
-3
Solve -19 = -3*c + 4*k, -c + k + 0 = -5 for c.
1
Solve t + 19 = -4*r, t + 3*t + 2*r + 6 = 0 for t.
1
Solve -9*o + 4*t + 11 + 21 = 0, 3*o = 5*t + 7 for o.
4
Solve -2*y + t = 11, 36*t = 31*t + 25 for y.
-3
Solve 5*h + 4*j + 9 - 4 = 0, 0 = -2*h + 4*j + 26 for h.
3
Solve 0 = x + 5*t - 23, -2*x + t - 14 = -5 for x.
-2
Solve -q + 11 = 2*a, -9*q - 25 = -12*q - 4*a for q.
3
Solve 2*l - 10 = -68*h + 66*h, 6*h + 3*l = 15 for h.
0
Solve 2*w = -3*x - 9, 39 = -w - 2*x + 36 for w.
-9
Solve -4*b = -0*x + 5*x + 45, -5*b - 5 = -4*x for x.
-5
Solve 0 = -4*b + 3*b - l + 7, 3*b - 4*l + 7 = 0 for b.
3
Solve 4*w = -2*x - 2 + 8, -5*w - 2*x = -6 for w.
0
Solve 4*u + 35*k - 30*k + 19 = 0, -u + 4*k + 11 = 0 for u.
-1
Solve 13 = -3*v - 2*n, v = -24*n + 21*n - 16 for v.
-1
Solve 3*q + 9 = 3*s, 9*s - 12*s - 11 = q for s.
-2
Solve 27*z = 28*z + 4*w - 5, 9 = 5*z + 4*w for z.
1
Solve 15 = 7*x - 10*x + 4*a, -2*a = 4*x - 2 for x.
-1
Solve -10*p + 22 = -2*s - 5*p, -2*s - 5*p = -18 for s.
-1
Solve -18*l + 22*l - 10*y = -38, 3*l - 3*y = -6 for l.
3
Solve -3*f - 3*t = -15, 20*t - 25*t = -10 for f.
3
Solve 2*t - 4*h + 3*h = -11, -t - 19 = 4*h for t.
-7
Solve 2*n + 4*v - 8 = -2*n, -2*n - 3*v = -5 for n.
1
Solve 3*d = w, 3 = -4*w + d - 8 for w.
-3
Solve -239*l + 5*t + 20 = -240*l, 4*l + 3*t = -29 for l.
-5
Solve 6 = -3*i + i - 4*x, -3*x - 7 = 4*i for i.
-1
Solve -2*k - 8 = 2*g, 4*g - g - 6 = 3*k for k.
-3
Solve -2*j + 10 = 5*q, 4*j + 9*q = 14*q - 10 for j.
0
Solve -k - x = -5, 2 = -3*k + k + 2*x for k.
2
Solve u = 5*u - 2*k + 16, 10 = -u + 2*k for u.
-2
Solve -3*b + a = 10, -5*b - 3*a - 3 = -3*b for b.
-3
Solve 6*b + 3*t - 8 =
|
{
"pile_set_name": "DM Mathematics"
}
|
-4825?
-6519
What comes next: -542, -1055, -1556, -2039, -2498, -2927, -3320, -3671?
-3974
What comes next: -52, -35, -6, 41, 112, 213?
350
What comes next: 324, 329, 336, 345, 356, 369?
384
What comes next: -78, -31, 100, 357, 782, 1417, 2304, 3485?
5002
What is the next term in 5, -6, -33, -82, -159, -270, -421, -618?
-867
What comes next: -8, -43, -130, -293, -556, -943, -1478?
-2185
What is next in -34, -64, -94, -124, -154, -184?
-214
What comes next: 597, 1193, 1789, 2385?
2981
What comes next: 32, 52, 66, 74?
76
What comes next: 224, 221, 216, 209, 200?
189
What is the next term in 25, 104, 235, 418, 653, 940, 1279?
1670
What comes next: 360, 359, 356, 351?
344
What is next in 292, 588, 890, 1204, 1536, 1892, 2278?
2700
What is the next term in 70, 135, 198, 259, 318, 375?
430
What is the next term in 489, 492, 495?
498
What comes next: 49, 336, 823, 1516, 2421, 3544?
4891
What comes next: 19, -228, -897, -2198, -4341, -7536?
-11993
What comes next: -64, -129, -194?
-259
What comes next: 22, 9, -6, -23, -42, -63?
-86
What is the next term in -87826, -87824, -87820, -87814, -87806?
-87796
What comes next: -100, -192, -280, -364, -444?
-520
What comes next: 31, 12, -21, -68, -129, -204, -293?
-396
What is next in 1698, 1688, 1666, 1626, 1562, 1468, 1338, 1166?
946
What is the next term in 37, 109, 229, 397, 613, 877, 1189?
1549
What is the next term in -209, -418, -627, -836, -1045, -1254?
-1463
What comes next: -37, -92, -159, -244, -353?
-492
What comes next: 48, 102, 158, 216, 276?
338
What comes next: 83, 195, 301, 401, 495, 583, 665?
741
What is the next term in 545, 549, 543, 521, 477?
405
What is next in -1128, -1113, -1084, -1035, -960, -853?
-708
What is the next term in -18, -30, -30, -18, 6?
42
What is next in 6374, 12739, 19102, 25463, 31822, 38179?
44534
What is the next term in 359, 357, 355, 353, 351?
349
What is next in 14, 20, 18, 8?
-10
What is next in 74, 120, 180, 260, 366, 504?
680
What is next in 10418, 10416, 10406, 10382, 10338?
10268
What comes next: 15471, 15469, 15467, 15465?
15463
What comes next: 265, 545, 833, 1129, 1433, 1745, 2065?
2393
What comes next: 209, 208, 207?
206
What is next in -4, -38, -72, -106, -140?
-174
What is next in -29, -35, -53, -89, -149, -239?
-365
What is the next term in -1823, -1822, -1821, -1820?
-1819
What is next in -128, -260, -394, -530, -668, -808, -950?
-1094
What comes next: -94, 538, 2260, 5618, 11158, 19426, 30968, 46330?
66058
What is next in 10615, 21230, 31845, 42460, 53075, 63690?
74305
What comes next: 88, 106, 142, 202, 292, 418, 586, 802?
1072
What comes next: -28836, -28837, -28838, -28839, -28840?
-28841
What comes next: 77, 164, 241, 302, 341?
352
What comes next: 12, 31, 50?
69
What is the next term in -3233, -6465, -9685, -12887, -16065, -19213, -22325?
-25395
What is the next term in 77, 146, 215, 284?
353
What is the next term in 3, -8, -19, -30, -41, -52?
-63
What is next in 121, 240, 357, 472?
585
What is the next term in -167, -185, -213, -257, -323?
-417
What comes next: -1013, -1010, -1005, -998, -989?
-978
What is next in 2873, 2876, 2879, 2882, 2885, 2888?
2891
What comes next: -52, -103, -154, -205, -256?
-307
What is the next term in -133, -257, -377, -493, -605, -713, -817?
-917
What comes next: -854, -856, -858, -860, -862?
-864
What is next in -77, -80, -83?
-86
What is next in 17507, 17511, 17515, 17519, 17523, 17527?
17531
What is next in -68, -68, -84, -122, -188, -288, -428, -614?
-852
What comes next: 15, 16, 27, 54, 103, 180?
291
What is next in -1296, -1304, -1314, -1326?
-1340
What is next in 5, -11, -49, -115, -215, -355?
-541
What comes next: 63, 126, 189, 252?
315
What comes next: -28, -20, -10, 2, 16, 32, 50?
70
What is the next term in 57, 86, 173, 348, 641, 1082, 1701, 2528?
3593
What is next in -387, -402, -419, -432, -435, -422?
-387
What comes next: -1095, -2194, -3289, -4380, -5467, -6550, -7629?
-8704
What is next in 16, 87, 210, 385, 612?
891
What is the next term in -24, -43, -62, -81, -100?
-119
What is the next term in -1074, -1072, -1070, -1068, -1066, -1064?
-1062
What comes next: 25, 14, -11, -50, -103, -170, -251?
-346
What is next in 299, 606, 911, 1208, 1491, 1754, 1991?
2196
What comes next: 288, 222, 104, -72, -312, -622, -1008?
-1476
What is the next term in 123, 240, 357, 474?
591
What comes next: -71, -65, -47, -11, 49, 139?
265
What is the next term in -14228, -14226, -14222, -14216, -14208, -14198?
-14186
What is next in -25, -22, -19, -16?
-13
What comes next: -2410, -2408, -2404, -2398?
-2390
What comes next: -29, -21, -13, -11, -21, -49?
-101
What comes next: 419, 1675, 3769, 6701, 10471, 15079, 20525?
26809
What comes next: 58, 64, 58, 34, -14, -92, -206?
-362
What is next in 44, 43, 40, 35, 28, 19, 8?
-5
What is next in -923, -913, -919, -947, -1003, -1093?
-1223
What is next in 5, -6, -25, -52, -87, -130, -181?
-240
What is next in -16, -19, 2, 59, 164?
329
What comes next: 2, 11, 30, 59, 98?
147
What is next in -4, -12, -42, -106, -216?
-384
What comes next: -298, -275, -214, -97, 94?
377
What is next in 366, 365, 364, 363, 362?
361
What is the next term in -355, -333, -299, -247, -171, -65, 77, 261?
493
What comes next: -62, -124, -184, -242, -298?
-352
What comes next: -108, -103, -100, -99, -100, -103, -108?
-115
What comes next: -172, -148, -124, -100, -76?
-52
What is the next term in -212, -201, -182, -155, -120, -77?
-26
What is next in -428, -857, -1284, -1709?
-2132
What comes next: 41, 80, 115, 146?
173
What comes next: 131, 248, 443, 716, 1067?
1496
What is next in 344, 262, 120, -88, -368, -726, -1168, -1700?
-2328
What comes next: 960, 3867, 8718, 15519, 24276, 34995, 47682?
62343
What is the next term in 0, 5, 10, 15?
20
What comes next: -3351, -6703, -10055, -13407, -16759, -20111?
-23463
What is the next term in 1377, 1373, 1369, 1365?
1361
What is next in -29, -55, -75, -83, -73, -39, 25?
125
What comes next: -35, -254, -845, -1994, -3887, -6710, -10649, -15890?
-22619
What is the next term in -3, -25, -69, -135, -223, -333, -465?
-619
What comes next: -168, -176, -182, -186?
-188
What comes next: 130, 261, 392, 523, 654?
785
What is the next term in -35, -78, -121, -164?
-207
What comes next: -38, -39, -40?
-41
What is the next term in 71, 93, 123, 161, 207, 261?
323
What is the next term in 56, 110, 164, 218?
272
What comes next: 119, 250, 379, 506?
631
What comes next: 5, 34, 101, 224, 421, 710, 1109, 1636?
2309
What is next in 325, 648, 971?
1294
What comes next: -75, -152, -229?
-306
What is the next term in 117, 233, 349, 465, 581, 697?
813
What is next in 1, -5, -29, -83, -179, -329, -545, -839?
-1223
What is next in -12, -5, 2, 9, 16?
23
What comes next: -61, -122, -185, -250, -317, -386?
-457
What comes next: -13, -26, -49, -82, -125?
-178
What is the next term in 15753, 15754, 15755?
15756
What is next in -357, -758, -1159, -1560?
-1961
What is the next term in 344, 345, 346, 347, 348, 349?
350
What is the next term in 131, 515, 1153, 2045?
3191
What is the next term in 4, 17, 28, 31, 20, -11, -68?
-157
What is the next term in -5, -24, -79, -188, -369, -640?
-1019
What comes next: 4, -44, -126, -242?
-392
What comes next: -242, -244, -246, -248?
-250
What is the next term in -440, -1767, -3978, -7073?
-11052
What is the next term in -19, -33, -41, -43, -39, -29, -13?
9
What is next in 1169, 2340, 3511?
4682
What is the next term in -348, -1405, -3174, -5661, -8872?
-12813
What is next in -44, -69, -78, -65, -24?
51
What is the next term in -53, -105, -157, -209, -261, -313?
-365
What is next in -11, -7, -1, 7, 17?
29
What is next in 138, 139, 140, 141, 142, 143?
144
What is next in 21, -20, -89, -192, -335?
-524
What is the next term in 103, 390, 847, 1456, 2199, 3058, 4015?
5052
What comes next: -51, -102, -139, -156, -147?
-106
What is the next term in -799, -1601, -2407, -3217, -4031, -4849?
-5671
What is next in 773, 1544, 2301, 3038, 3749?
4428
What comes next: -1025, -1023, -1021, -1019?
-1017
What is the next term in -162, -156, -146, -132, -114, -92?
-66
What is next in 1154, 1157, 1162, 1169, 1178?
1189
What is next in -26, -13, 12, 49?
98
What is the next term in 300, 298, 294, 288, 280, 270, 258?
244
What is the next term in -3, -30, -83, -168, -291, -458, -675,
|
{
"pile_set_name": "DM Mathematics"
}
|
(b**28*b*b))**41 assuming b is positive.
b**(-6232/5)
Simplify (h*h/h**(-4)*h**(-13))/(h*(h*h*h**(7/8)*h)/h*h**38) assuming h is positive.
h**(-391/8)
Simplify i**1*i**9*i*(i**(-3))**(3/20) assuming i is positive.
i**(211/20)
Simplify ((((v*v/(v*v**(2/9)*v)*v)/v)/((v/v**11)/v))/(v*v**4*v*v/((v/v**5)/v)))**(2/173) assuming v is positive.
v**(-22/1557)
Simplify (h**7*h/(h/h**(-1))*h*(h/h**(-2))/((((h*h/(h**(-1/7)*h))/h)/h)/h))**(-35) assuming h is positive.
h**(-415)
Simplify (l**(-28)/(l/(l/(l**4*l))))**(-10/17) assuming l is positive.
l**(330/17)
Simplify (u**(-4/5))**(1/6)*((u*u**8)/u)/(u*u**(3/7)) assuming u is positive.
u**(676/105)
Simplify o*o**(-4/5)/o*o/o**(-1/14)*(o**(6/5)*o)/(o/(o**(5/4)*o)*o) assuming o is positive.
o**(381/140)
Simplify n**(-1/8)*n*n**(2/15)*n*n**(-9)/(n/n**(-1)*n) assuming n is positive.
n**(-1199/120)
Simplify ((g/g**(-13))/g*g**(1/16))**(1/33) assuming g is positive.
g**(19/48)
Simplify a/(a/a**(-10))*a**3*a**14/a**(-31) assuming a is positive.
a**38
Simplify (a**(-4))**(-39)/(a**(-6)*a/(a/(a*a/(a*a**2)))) assuming a is positive.
a**163
Simplify ((p**(2/7)*p)**(-1)/(p*p**0)**36)**(10/9) assuming p is positive.
p**(-290/7)
Simplify (((p*p*p**(-3/4))**(-11/3))**41)**37 assuming p is positive.
p**(-83435/12)
Simplify m**(-3/2)/(m*m**(-5/11)/m)*(m**24*m*m*m)**(2/53) assuming m is positive.
m**(-31/1166)
Simplify (r**(-3/4)/r)**(-1/14)/((r*r/r**10*r)/r**(-5/8)) assuming r is positive.
r**(13/2)
Simplify (x*x/(x/x**(3/23)))/x**(5/6)*x/x**(2/59)*x**1*x assuming x is positive.
x**(26569/8142)
Simplify ((a/(a/((a/a**0)/a*a)))**2*a/(a**(-3/4)*a)*a**(1/4))**(-25) assuming a is positive.
a**(-75)
Simplify (g**(2/7))**(6/13)*g**(-2/3)/(g**9/g) assuming g is positive.
g**(-2330/273)
Simplify (x/(x/((x/x**4*x)/x)*x))/x**(-17)*x*x*x**(-12)*x**(-6/7) assuming x is positive.
x**(15/7)
Simplify (i**(2/5))**(-11/8)*(i*i**(-2/25)/i*i*i)/(((i*i**(2/13)*i)/i)/i) assuming i is positive.
i**(1581/1300)
Simplify (((w**(-2/5)/w)**(-2))**(-21/4))**(-35) assuming w is positive.
w**(1029/2)
Simplify (w**(1/25)*w*w**18)/(w**(8/5)*w**13) assuming w is positive.
w**(111/25)
Simplify (((s*s**(-2)*s)/s*s**(-4/7))**(-1/3))**12 assuming s is positive.
s**(44/7)
Simplify (k*k/(k**(6/5)*k)*(k**(1/15)*k)/k)**45 assuming k is positive.
k**(-6)
Simplify ((y*y**(2/13)/y*y*y**(-2/15))/((y**0*y)/y*y*y)**(1/3))**(-45) assuming y is positive.
y**(-207/13)
Simplify (((c/c**(-2/41))/c*c*c)**14)**6 assuming c is positive.
c**(7056/41)
Simplify (a**(1/3))**(-20/9)*a/a**(-1/8)*a*a**(3/8) assuming a is positive.
a**(95/54)
Simplify (((v/v**2*v)**(1/38))**(-1/3))**24 assuming v is positive.
1
Simplify (j**(-1/4))**49*j**(-1/7)/j**15 assuming j is positive.
j**(-767/28)
Simplify ((h*h**(-3))/h**(2/11)*h/h**(-2/9)*h**(-1/3))**(-10/19) assuming h is positive.
h**(1280/1881)
Simplify ((p**0)**(1/19)/(p*p*p*p**1*p*p)**(11/7))**6 assuming p is positive.
p**(-396/7)
Simplify (b**(-16/5))**(-2/21)*(b*b*b**28)**42 assuming b is positive.
b**(132332/105)
Simplify (v**(3/7)*v)**29*((v*v**(1/10))/v)**(-10) assuming v is positive.
v**(283/7)
Simplify (h**(16/9)*h**(-22))/(h/((h**(5/2)/h*h)/h))**(1/42) assuming h is positive.
h**(-5093/252)
Simplify c**4/((c*c**(1/9)*c*c*c)/c*c)*c**(4/7)/(c/c**(-6)) assuming c is positive.
c**(-412/63)
Simplify (g**(-2/21)*g)/g*g**(4/7)*((((g*g**(1/2))/g)/g)/g)/g*(((g*((g/(g**(-1/37)*g))/g*g*g*g)/g)/g)/g*g*g)/g assuming g is positive.
g**(-1549/1554)
Simplify (o/(o/(o*((o/(o*o**(-5/3)))/o)/o*o)))/(o*o**(-4/3)*o)*o**(-19)/o*o/o**(-23) assuming o is positive.
o**5
Simplify ((i/(i**(1/7)*i))/((i/(i/(i/i**(28/9))))/i))**(-2/3) assuming i is positive.
i**(-374/189)
Simplify (s*s**(-14))**(20/3)/(s**24*s**(-2/95)) assuming s is positive.
s**(-31534/285)
Simplify (p**(-9/2)/(((p**21/p)/p)/p))/(p**(-2/17)/p)**(-3/8) assuming p is positive.
p**(-3117/136)
Simplify ((v/(v/(v*v**(1/17)*v)))/(v*v/v**5))/(v**(-3/2)*v*v**11*v) assuming v is positive.
v**(-219/34)
Simplify ((f/(f/(f*f**(-18)*f))*f)/f)**13*f**(-10)/(f**(-25)*f) assuming f is positive.
f**(-194)
Simplify (((q/q**3)**(-7/5))**(-5/4))**(-37) assuming q is positive.
q**(259/2)
Simplify ((k/k**17)**(15/8))**(-5) assuming k is positive.
k**150
Simplify (w**(-4)/(w**(-5/6)/w)*(w/w**1)/w*w*w**1)**19 assuming w is positive.
w**(-133/6)
Simplify ((w**(-8)/w)/w**(-2/7)*((w/(w/w**(1/3)))/w*w)**10)**(-2/77) assuming w is positive.
w**(226/1617)
Simplify (l**(-1))**(-41)*(l**(2/9))**(-5/18) assuming l is positive.
l**(3316/81)
Simplify (c**(-13)*c**(5/2)/c)/((c*c**(-8/7)*c*c*c)/(c/c**12)) assuming c is positive.
c**(-355/14)
Simplify ((y*y/((y*y/(y/(y/(y/(y*(y/y**(10/9))/y)))*y*y)*y*y*y)/y*y*y))**(-19/4))**14 assuming y is positive.
y**(532/9)
Simplify (g/g**(1/3)*g*(g**(2/3)*g)/g*(g*g*g**(-1))**(-1/62))**4 assuming g is positive.
g**(862/93)
Simplify ((o**10*o)**46)**(-36) assuming o is positive.
o**(-18216)
Simplify (g/(g*g**(-1/4)/g)*g**14*g)/(g/(g*(g/g**(-8))/g))**(-8/9) assuming g is positive.
g**(329/36)
Simplify (((p**(-1/3)*p)**15)**34)**(-12) assuming p is positive.
p**(-4080)
Simplify (a*a/(a*(a*a*a*a**(-8))/a))/(a**(1/9)/a)*(a**(-1))**(-47) assuming a is positive.
a**(494/9)
Simplify (g**37/g)/(g*g/(g**(-22)/g)*g)*((g**(-13)*g)/g)**(-15) assuming g is positive.
g**205
Simplify (j*j*j**(16/9))/j**27*(j/(j*j**23))/(j/(((j/j**(-14/11))/j)/j)) assuming j is positive.
j**(-4648/99)
Simplify ((c**14/c**(-16))**(1/36))**8 assuming c is positive.
c**(20/3)
Simplify (b**(1/4))**(-2/13)/(b**(-4)*b**(-2/17)) assuming b is positive.
b**(1803/442)
Simplify (d**(-7)/d*d*d**(-8)*d/(d/(d/d**(-1/2)))*d**(-3)/d)**(-46) assuming d is positive.
d**805
Simplify ((n**(-5)/n*n**(-3))/(n**6*n/n**(-7)))**9 assuming n is positive.
n**(-207)
Simplify (k/(k**(4/9)/k)*k**(2/19))/((k*k/(k*k/k**3*k*k))/k)**8 assuming k is positive.
k**(284/171)
Simplify ((f**(3/7)*f*f)/f)**(3/34)/(f/(f/((f/f**(-6))/f)*f)*f*f**(-6)) assuming f is positive.
f**(15/119)
Simplify ((b*b**(-12/11))/b**5)**14 assuming b is positive.
b**(-784/11)
Simplify (c*c*c*c**4*c*c/(c*c*c*c**(8/3)*c*c*c)*c*((c/(c**(2/3)/c))/c)**(-4/15))**40 assuming c is positive.
c**(448/9)
Simplify (h*h*h/(h*h*h**(-3)*h))/h*h*(h*h*h**(-11)*h*h*h*h)/h*h*h**(4/3)*h/h**(-11)*h assuming h is positive.
h**(37/3)
Simplify ((c/(c/(c/(c/(c/c**(-4))))))/c)**(-3/2)/((c*c**10*c*c)/(c/(c*c**(-1/18))*c)) assuming c is positive.
c**(-323/18)
Simplify (j**(5/6)*j**(-29)*j*j)/((j*((j/j**(1/17))/j)/j)/j**(-15)) assuming j is positive.
j**(-4193/102)
Simplify (((o**5*o)/o)/o**0*o**(1/3)/(o/((o/(o*o/(o*(o/((o/((o/(o*o**(-7)))/o))/o))/o*o)))/o)))**(1/8) assuming o is positive.
o**(31/24)
Simplify d**6*d**(-2/21)/d*((d/(d/(d**(-7)/d)))/d)/d*d**5 assuming d is positive.
d**(-2/21)
Simplify q**(-11)/q**(-10/3)*(q**(-4))**(-1/3) assuming q is positive.
q**(-19/3)
Simplify (g**(1/4)/g*(g/g**(1/4))/g*g/(g**(6/7)/g)*g*g**4)**19 assuming g is positive.
g**(684/7)
Simplify (v/v**(-2/37)*v)/((v/v**(-33))/v*v*v)*v**(-4/17)*v*v*v*(v**10*v)/v*v assuming v is positive.
v**(-12065/629)
Simplify f**(-8)/f*f**(7/8)*(f*f**(-4))**(-13/4) assuming f is positive.
f**(13/8)
Simplify ((z**(-2/3)*z*z)/z)**(-13/6)/((z*z**(2/7)*z)/(z*z/(((z/(z**(-2/3)*z))/z)/z))) assuming z is positive.
z**(41/126)
Simplify (((d/(d/(d*d**4))*d)**(-1/26))**(-2/25))**(2/21) assuming d is positive.
d**(4/2275)
Simplify (((g/(g*g*(g**7/g)/g*g*g))/g)/g)**25/(g**0*g)**(4/15) assuming g is positive.
g**(-3754/15)
Simplify q**(5/9)*q**15*(q/(q/(q/(q/(((q*q/(q*q**(5/6)))/q)/q)))*q)*q)/q**(4/11) assuming q is positive.
q**(2645/198)
Simplify (t**(-3))**(-3/10)*t*t**(-1/35)*t*t/(t/(t/(t/(t/t**17*t)))) assuming t is positive.
t**(-849/70)
Simplify (p*p*((((p/(p/p**(4/21)))/p)/p*p)/p)/p*p*p*p**(-1/7))**(12/11) assuming p is positive.
p**(8/7)
Simplify x/x**(-1/9)*(x/x**(2/37)*x)/x*x*x*(x*(x**(-5)*x)/x)**10 assuming x is positive.
x**(-11969/333)
Simplify ((q*q**(-16/5)*q)/((q**28*q)/q))/(q**(-5)*q*q/(q*q*q**11/q)) assuming q is positive.
q**(-71/5)
Simplify ((j*j*j*((j/(j/(j/(j/j**(-8/3)))))/j)/j)/j**(-6))/(j/(j/j**16)*j**(2/35)) assuming j is positive.
j**(-1231/105)
Simplify (u**(-18)/u*u*u/(u*u*u**(-18/11)/u*u))/(((u**(2/13)/u*u)/u)/u**(-4)) assuming u is positive.
u**(-2934/143)
Simplify ((p*p*p/(p*p/(p*p/p**(-1/2))*p)*p)**(-1/10)/(p**(2/9))**(
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest ten.
-38910
What is 99.0893788 rounded to 2 dps?
99.09
Round 7.738920696 to 1 decimal place.
7.7
Round -5.86059471 to zero dps.
-6
Round 11357476.6 to the nearest one hundred thousand.
11400000
What is 101.8386529 rounded to the nearest ten?
100
Round -34799.191 to the nearest ten thousand.
-30000
Round -2.832110662 to one dp.
-2.8
What is -0.001931486937 rounded to five dps?
-0.00193
Round 33.18662955 to the nearest 10.
30
What is -0.000000569786773 rounded to seven dps?
-0.0000006
Round 67773882.4 to the nearest one million.
68000000
What is -181187297.7 rounded to the nearest one million?
-181000000
What is -0.5288990648 rounded to four dps?
-0.5289
What is 15.40651537 rounded to the nearest integer?
15
Round -12081.49925 to the nearest one hundred.
-12100
What is -2662.8854 rounded to the nearest 100?
-2700
Round -0.00531331232 to seven dps.
-0.0053133
Round -0.00095669771 to six dps.
-0.000957
What is 47010.4768 rounded to zero dps?
47010
What is -299.577275 rounded to the nearest integer?
-300
Round 51.5989952 to the nearest 10.
50
What is -55116435 rounded to the nearest 10000?
-55120000
What is 22001689110 rounded to the nearest 1000000?
22002000000
What is -265.59935 rounded to the nearest one hundred?
-300
What is 0.0001280243082 rounded to 5 decimal places?
0.00013
Round -3650243.417 to the nearest one million.
-4000000
What is 630062387 rounded to the nearest one hundred thousand?
630100000
Round -1660646.642 to the nearest 10000.
-1660000
What is -0.00005822986995 rounded to 7 decimal places?
-0.0000582
What is -0.0001373799114 rounded to 5 dps?
-0.00014
Round -0.00236359207 to 3 decimal places.
-0.002
What is -0.08675377 rounded to three dps?
-0.087
What is 8363558.7 rounded to the nearest one hundred thousand?
8400000
What is 7660022.52 rounded to the nearest ten thousand?
7660000
Round 1.31850392 to three dps.
1.319
Round 492645.0353 to the nearest 1000.
493000
What is -397986218 rounded to the nearest 1000000?
-398000000
What is -0.00052091497 rounded to 6 decimal places?
-0.000521
Round -2032949190 to the nearest one million.
-2033000000
What is 0.000287145541 rounded to seven decimal places?
0.0002871
What is 91716522.5 rounded to the nearest one hundred thousand?
91700000
Round -10718.71025 to one dp.
-10718.7
Round 0.0010301113 to four decimal places.
0.001
Round 6977.6645 to the nearest one thousand.
7000
What is 0.03857603848 rounded to 5 decimal places?
0.03858
What is 90118.2759 rounded to the nearest ten thousand?
90000
Round 0.07826099 to 4 dps.
0.0783
Round 38176.45894 to the nearest one thousand.
38000
What is -48.2251943 rounded to three decimal places?
-48.225
Round 316088050 to the nearest 1000000.
316000000
Round 0.0002342640102 to 6 decimal places.
0.000234
Round -10651639.54 to the nearest 100000.
-10700000
Round 0.0084422391 to five dps.
0.00844
Round -0.0064796592 to 4 decimal places.
-0.0065
Round -8040.07435 to the nearest one hundred.
-8000
Round -98.86279 to 1 decimal place.
-98.9
What is -2312023000 rounded to the nearest one million?
-2312000000
What is 2.59061814 rounded to one decimal place?
2.6
Round 512991.212 to the nearest 1000.
513000
What is -915.49089 rounded to the nearest ten?
-920
What is -0.008125919 rounded to 5 dps?
-0.00813
Round -0.070840605 to two decimal places.
-0.07
Round 0.003324198248 to 7 dps.
0.0033242
What is -76.9367584 rounded to the nearest integer?
-77
What is 107127560 rounded to the nearest 100000?
107100000
What is -628514.11 rounded to the nearest one hundred thousand?
-600000
What is -0.0618970431 rounded to 5 decimal places?
-0.0619
What is -458.4030947 rounded to zero dps?
-458
Round -0.255810345 to four dps.
-0.2558
What is 0.001540718094 rounded to 3 decimal places?
0.002
Round -0.8862631 to one decimal place.
-0.9
What is -289.810839 rounded to 0 decimal places?
-290
What is 2078455758.8 rounded to the nearest ten thousand?
2078460000
What is 0.305195501 rounded to 3 decimal places?
0.305
What is -0.1211090046 rounded to 3 decimal places?
-0.121
Round 26259538.74 to the nearest one hundred thousand.
26300000
Round 14.4765074 to two decimal places.
14.48
What is -0.0000111950309 rounded to seven dps?
-0.0000112
Round 0.00138245342 to seven decimal places.
0.0013825
What is 0.127467465 rounded to four dps?
0.1275
Round -0.0000007826808998 to seven dps.
-0.0000008
Round 30654.1952 to the nearest integer.
30654
Round -0.0330447432 to five dps.
-0.03304
What is 0.0258482829 rounded to 5 dps?
0.02585
What is 86.553146 rounded to one dp?
86.6
Round 0.0007929329 to five dps.
0.00079
What is -84575.4482 rounded to the nearest ten thousand?
-80000
Round 5.63476675 to 1 dp.
5.6
Round -547697.663 to the nearest ten thousand.
-550000
What is 236.61673 rounded to the nearest 100?
200
Round 0.000000159795119 to seven dps.
0.0000002
What is 42611456.8 rounded to the nearest 100000?
42600000
Round -15032994.616 to the nearest one hundred thousand.
-15000000
What is -382419.596 rounded to the nearest ten thousand?
-380000
Round -0.0004059145473 to 5 decimal places.
-0.00041
What is 0.002342285076 rounded to 6 dps?
0.002342
What is -34.021 rounded to the nearest integer?
-34
Round 86698.682 to the nearest ten thousand.
90000
Round 243916.517 to the nearest one thousand.
244000
What is 0.1378771229 rounded to four decimal places?
0.1379
What is -0.50253167 rounded to 1 decimal place?
-0.5
What is 397861 rounded to the nearest 1000?
398000
Round -1290.118379 to the nearest 100.
-1300
Round 279420.819 to the nearest one thousand.
279000
Round -37479.2618 to the nearest 10.
-37480
Round -31452232.74 to the nearest 1000.
-31452000
Round 0.29582629 to one decimal place.
0.3
Round 1931911.95 to the nearest ten thousand.
1930000
Round 4390788410 to the nearest 1000000.
4391000000
What is -0.000053470692 rounded to six decimal places?
-0.000053
What is 0.0000051609123 rounded to seven dps?
0.0000052
Round -746604.577 to the nearest 100000.
-700000
What is -1206.00651 rounded to the nearest one hundred?
-1200
Round 4.23331314 to one dp.
4.2
What is 27926.9568 rounded to the nearest ten thousand?
30000
Round -0.00034841058 to 6 decimal places.
-0.000348
What is 1686.13037 rounded to the nearest integer?
1686
Round -1.134319164 to four dps.
-1.1343
What is 26463630.08 rounded to the nearest one thousand?
26464000
What is -0.0740329626 rounded to 5 decimal places?
-0.07403
What is 2128.215535 rounded to the nearest ten?
2130
Round -0.0370662897 to two decimal places.
-0.04
What is -0.0297392207 rounded to two decimal places?
-0.03
Round -164338286.1 to the nearest 10000.
-164340000
What is 17449237.6 rounded to the nearest 1000000?
17000000
What is -0.0494961383 rounded to 2 decimal places?
-0.05
Round -0.41909756 to 3 dps.
-0.419
What is 22980636.2 rounded to the nearest 1000?
22981000
Round 261224.9119 to the nearest 100000.
300000
Round 0.6515349029 to three dps.
0.652
What is 0.000005910444 rounded to six decimal places?
0.000006
What is -4460315 rounded to the nearest one hundred thousand?
-4500000
Round 0.0000017676126 to 7 decimal places.
0.0000018
Round -0.000084121478 to 7 dps.
-0.0000841
What is -2.06106354 rounded to zero decimal places?
-2
Round -581.797287 to the nearest integer.
-582
What is 61.8744496 rounded to two decimal places?
61.87
Round -24.12871491 to 3 decimal places.
-24.129
What is 5458268.85 rounded to the nearest 100?
5458300
What is -0.0092261859 rounded to one decimal place?
0
What is 118009.642 rounded to the nearest one thousand?
118000
What is 1768106.31 rounded to the nearest one hundred thousand?
1800000
What is 1.46643148 rounded to 3 decimal places?
1.466
What is 0.114390627 rounded to 3 decimal places?
0.114
Round -1.202730024 to three dps.
-1.203
What is -76.271485 rounded to 2 decimal places?
-76.27
What is 348.3047983 rounded to the nearest 100?
300
What is 63.829421 rounded to two dps?
63.83
What is 2193.572985 rounded to 1 dp?
2193.6
What is 84.370089 rounded to 2 decimal places?
84.37
What is -12.63036106 rounded to 2 dps?
-12.63
Round 0.00000261798594 to 7 dps.
0.0000026
What is 0.00000264028731 rounded to 7 dps?
0.0000026
What is 0.0001744730034 rounded to six dps?
0.000174
Round 0.01061467 to 1 decimal place.
0
What is -49051744.92 r
|
{
"pile_set_name": "DM Mathematics"
}
|
s = 1427 - 1433. Let c be ((-4)/24*s)/(-4 + 5). Is c > j?
True
Let f(v) = -2*v**3 - 10*v**2 + 92*v + 590. Let d be f(-6). Is 120 != d?
True
Suppose 0 = -5*m - 10*m - 2040. Let r = 114 + m. Which is bigger: -19 or r?
-19
Let g = -112810/13 + 8705. Which is smaller: -3/5 or g?
-3/5
Let t be -1 + 8 - ((-8)/(-2))/(46/69). Which is greater: -43/257 or t?
t
Let m be (-34)/14 + -2 + 45/105. Let o be 5 - m/(36/(-47)). Which is smaller: 0.5 or o?
o
Suppose 3 = l + 2*h, -2*l = l + 4*h - 7. Let d be l + 11/7 + -1 + -1. Which is bigger: d or 2?
2
Suppose 480 = -2*t + 8*t. Let v = t + -125. Let u = v - -45. Which is bigger: 13 or u?
13
Suppose 158*g + 24 = 164*g. Suppose g = 4*f - 8*f. Is -1/32 at most f?
False
Suppose -3*x + 2*d + 116 = 1283, -x + 4*d - 379 = 0. Let r = 1577/4 + x. Which is bigger: r or 4?
4
Suppose 0 = -5*u - 2*v + 30, 4*u - 5*v = -8*v + 24. Suppose u*o + 26 = t + 2*o, 5*t + 3*o = 130. Which is greater: t or 20?
t
Let i be (1/2)/((-25)/(-70) - 12/14). Which is bigger: 15/239 or i?
15/239
Let a be -1*10/(-45) + 38144/72. Is a bigger than 527?
True
Suppose 5*m = -2144 + 539. Let b = m + 319. Let o = -11.4 - 1.6. Which is smaller: b or o?
o
Let u be 70015/(-2255) + 8/164. Let p = -79/8 + -157/8. Which is smaller: p or u?
u
Let l = -27896 - -27894. Which is greater: 0.0053 or l?
0.0053
Let n = -550 + 625.9. Let t = -76 + n. Which is greater: t or -20.3?
t
Let j(l) = l**3 + 11*l**2 - 26*l - 396. Let a be j(-9). Is 2 bigger than a?
True
Let b(a) = 8*a - 61. Let d be b(8). Suppose 1 = 3*r - h, -d*h = 53*r - 56*r + 9. Which is smaller: r or -34/15?
-34/15
Let q be -3 + 79/77 + 6/3. Is 16 greater than or equal to q?
True
Let z = 24/1493 + 6913/34339. Is -14 <= z?
True
Let n = 210 + -208. Suppose -4*f + 4*o = -f + 17, 2*f + n*o = -2. Is -54/17 greater than f?
False
Let k = 4.14 + -4.14. Is k at most as big as -1346?
False
Suppose -2*j = 8*j + 50. Let n(s) = s**2 + 5*s + 8. Let u be n(-3). Suppose r = -3*r - 2*b - 14, 2*r + 10 = -u*b. Which is greater: r or j?
r
Suppose -4*i + 11 = 2*l - 3, -2*l - 2*i + 14 = 0. Suppose 189 = -16*m + l*m. Which is bigger: m or -22?
m
Let d = 4655 + -18621/4. Is 1500 <= d?
False
Let f = -26019/8 + 3253. Let c(o) = -o**3. Suppose -4*p = -p. Let i be c(p). Is f smaller than i?
False
Suppose 0 = 5*k - 4*f + 7372, 0 = -4*k - 36*f + 33*f - 5879. Which is bigger: -1473 or k?
k
Let i be (11 - -1)*(-4)/16. Let l be (4 + 1 + i)*(-14)/4. Which is bigger: l or 1.6?
1.6
Let n = 4789 - 4799. Is n equal to -14?
False
Let n = 3.8804 + -4.1804. Is 1449 < n?
False
Let b = -1376057863/5829 + 236071. Which is smaller: b or 1?
b
Let k(j) = 299*j + 10131. Let y be k(-35). Which is greater: y or -341?
y
Let t be ((-60)/(-28) - -2) + 2/(-14). Suppose -f - t + 5 = 0. Suppose 0 = 7*w + f - 8. Which is greater: w or 4/5?
w
Let j = 1042.67828 + -0.68228. Let r = j + -1040. Let a = r - -0.004. Do a and -0.02 have the same value?
False
Let r be -1*23*(-2 - -3)/((-63)/1008). Is r not equal to 367?
True
Let k be (-3)/(-90) - (-1)/(-5). Let m = -0.55 + 0.543. Let z = 0.093 - m. Which is bigger: z or k?
z
Let w be -8 + (-30)/(-2) + 143 + 8 + -1. Which is greater: 234 or w?
234
Let h = 19.0253 - 0.0253. Let i = -49 - -48.99. Which is bigger: i or h?
h
Let v(a) be the first derivative of -10*a**3/3 + 57*a**2/2 - 30*a + 231. Let m be v(5). Is m less than or equal to 54?
True
Let n = 6342 - 6341. Are 2/3395 and n equal?
False
Let b(a) = 3*a**2 + 73*a + 25. Let w be b(-24). Which is bigger: 46/131 or w?
w
Let g be (-1)/(-2) + 560/(-1888). Which is greater: g or -1?
g
Suppose 9*b - 4*b + 30 = 5*z, 5*z = b + 14. Suppose -131 = -2*k - 3*w + 47, 0 = -z*k + w + 162. Let g = -82 + k. Which is smaller: 5/24 or g?
5/24
Suppose 0 = -v - 5*t - 1929, t = -35*v + 31*v - 7678. Let j = 1935 + v. Suppose -3*r - 3*h + 32 = -r, -48 = -4*r + 2*h. Which is greater: r or j?
j
Let u = 9310 - 9295.858. Let t = u - 0.142. Let d = 6 + -4. Which is smaller: d or t?
d
Let s = 4.31 - 1.01. Let t = s - 3.9. Let f = 0.6 + t. Which is greater: f or -2/287?
f
Let x = 25572/935 - -148/85. Is 28 greater than or equal to x?
False
Let p = -3751.08 - -3751. Is 17.1 != p?
True
Let w = -9705.5 - -9715. Does 6 = w?
False
Let j = -107.79 + -2161.21. Which is greater: j or -0.2?
-0.2
Let u be (-3)/(9/(-12)) + 1*-2. Let w be u - (3/(-15))/((-8)/(-14500)). Let i = w - 372. Are -9 and i nonequal?
True
Let t(s) = -8*s. Let u = -25 - -23. Let k be t(u). Let j(f) = f - 16. Let a be j(k). Which is smaller: 16/9 or a?
a
Let u = 144.42 - 146. Suppose -2*m = -10, 4*b - 4*m = -46 + 22. Which is greater: b or u?
b
Suppose -34694 = 12*l + 10*l. Let q = l + 23669/15. Suppose -2*v = 2*i + 10, -4*v - 20 + 0 = -4*i. Is q >= i?
True
Let w = 1/2129 + 25519/61741. Let g(a) = -a - 13. Let n be g(-14). Does w = n?
False
Let l = -6219766327/1606 + 3872831. Let q = 3/146 + l. Is -1 >= q?
False
Let j = 308 + -3374/11. Let y(z) be the first derivative of z**2/2 + 11*z - 15. Let s be y(-9). Which is smaller: j or s?
j
Let p = -31684/5 + 6096. Are 0.2 and p equal?
False
Let r be (-1)/4 - -2118*1/16. Let j = 135 - r. Which is greater: 2 or j?
j
Let v = 22427/3 - 7476. Does 4.5 = v?
False
Let u = 14946.217627 + -21.718627. Let o = -14722.6 + u. Let c = o - 202. Which is greater: 0 or c?
0
Let m be 0 + 2/4*0. Suppose -4 = 4*z - m. Let s = -1.672 - 2.428. Which is greater: z or s?
z
Let k be (-22)/4 + 21/(-6) + 3. Let d be 117/26*4/k. Let v be d*(4 + (-37)/12 + -1). Which is bigger: -46 or v?
v
Let j be (-1171 - 13) + (-10)/(-4)*2. Let n be 1/(-3)*(-108)/j. Are -1 and n unequal?
True
Let y be (-312)/52 + 46/8. Is y at least -0.062?
False
Let q(v) = v**3 + 9*v**2 - 7*v + 22. Let n be q(-10). Let i be 764/(-21) + n/28. Is i less than or equal to -38?
False
Let w(z) = -2*z**3 + 41*z**2 - 26*z + 136. Let l be w(20). Which is smaller: l or 316/19?
l
Let t = 0.0195 + 0.0805. Let r = 20.019 - 0.019. Let v = 4 + r. Do v and t have different values?
True
Let n(q) = 4*q + 95. Let g = -30 - -6. Let r be n(g). Which is smaller: r or -5/19?
r
Suppose 10 + 158 = -8*x. Let o = x - -15. Let k be (1 - -5)/((-16)/18). Which is greater: k or o?
o
Let b be 2/(-6)*-3*150/225. Which is smaller: b or 0.3358?
0.3358
Let p = -543614/947330919 + 16/31543. Which is smaller: p or -1?
-1
Let y = -3904 - -3957. Is y greater than or equal to -3?
True
Let q(u) = -105*u + 3497. Let d be q(33). Which is smaller: d or 36?
d
Let m be 20/(((-18)/(-24))/((-3)/8)). Let g be (-14)/m - (-146)/(-90). Are -5 and g non-equal?
True
Let l = 22632 - 22488. Which is smaller: l or 129?
129
Let b = -3.377 - -2.067. Which is smaller: b or -5.9?
-5.9
Let n be (-5)/(((-4)/(-30))/((-26)/39)). Suppose 0 = 5*s + n, 3 + 3 = -3*l + 3*s. Let i be 1 - (6/(-1) - -3). Which is smaller: l or i?
l
Let j(b) be the first derivative of b**7/840 + 2*b**6/45 + b**5/8 - b**4/24 - 4*b**3 - 8. Let q(c) be the third derivative of j(c). Let s be q(-15). Is 0 != s?
True
Let c = -11 + 15. Suppose -t + 5 = c. Let a = 4 - t. Does a = 2?
False
Let u = 11 - 19. Let l = -43 + 52. Let y = u + l. Which is smaller: y or -1?
-1
Let z be (-29246)/203 - 9/((-261)/2). Which is smaller: -133 or z?
z
Let y = -28 + 33. Let u(r) = -r**3 + 12*r**2 + 3*r - 4. Let l be u(y). Suppose -38 = 5*j + 2*x + l, 2*x + 48 = -j. Is j bigger than -45?
True
Suppose 0 = 10*i - 20. Let k(r) = 8*r**2 + 0*r**i + 9*r - 4*r**2 + 5 - 3*r**2. Let x be k(-12). Which is greater: 42 or x?
42
Let f = 1.2515 - 3.3595. Is -3/7 < f?
False
Suppose -2*j = -4*i + 28, 6*j + 31 = 3*i + 2*j. Suppose i*b + 12 = 2*b. Let z be b*(44/(-16) + 3). Which is bigger: z or 2/37?
2/37
Let m be (-6)/(-32)*104/(-78). Let a = -617/6 - -195/2. Are a and m nonequal?
True
Let k(u) = -u + 4. Suppose -n + 6*n - 5*h = 40, -3*n + h + 20 = 0. Let a be k(n). Let x = a - 40. Which is greater: x or -41?
-41
Suppose g + 15 = 11. Suppose -4*x + 13 + 9 = 3*u, 2 = -3*u + 2*x. Let o be (-2)/212*(u - g). Is o at most 0?
True
Let t be (-3)/15 + 1 + (-16328)/20420. Let k = t - -148029/40840. Is k greater than 5?
False
Let f = 256.9574 + 1.0826. Let s = -258 + f. Is -1/19 at most s?
True
Let y = -3356 + 3355.99. Does y = -0.228?
False
Suppose 23*w = 142 - 4. Let s be (-10)/5*37/(-2). Let y = s + -147/4. Which is smaller: w or y?
y
Suppose -2*k + o = 98, 2*o + 99 = -4*k - 121. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
4
What is 428 to the power of 1/3, to the nearest integer?
8
What is 737 to the power of 1/2, to the nearest integer?
27
What is 1946 to the power of 1/2, to the nearest integer?
44
What is 152427 to the power of 1/2, to the nearest integer?
390
What is 845 to the power of 1/2, to the nearest integer?
29
What is 5740 to the power of 1/2, to the nearest integer?
76
What is the square root of 5291 to the nearest integer?
73
What is the ninth root of 7937 to the nearest integer?
3
What is the third root of 941 to the nearest integer?
10
What is the third root of 88785 to the nearest integer?
45
What is 75405 to the power of 1/2, to the nearest integer?
275
What is 4280 to the power of 1/3, to the nearest integer?
16
What is 569 to the power of 1/3, to the nearest integer?
8
What is 99063 to the power of 1/8, to the nearest integer?
4
What is 1507 to the power of 1/4, to the nearest integer?
6
What is the square root of 15834 to the nearest integer?
126
What is the cube root of 2208 to the nearest integer?
13
What is 6338 to the power of 1/3, to the nearest integer?
19
What is the tenth root of 2662 to the nearest integer?
2
What is the square root of 8083 to the nearest integer?
90
What is the cube root of 9499 to the nearest integer?
21
What is 13995 to the power of 1/3, to the nearest integer?
24
What is the third root of 6032 to the nearest integer?
18
What is the eighth root of 634 to the nearest integer?
2
What is 60 to the power of 1/8, to the nearest integer?
2
What is 13179 to the power of 1/2, to the nearest integer?
115
What is the sixth root of 18820 to the nearest integer?
5
What is 7938 to the power of 1/3, to the nearest integer?
20
What is the third root of 2912 to the nearest integer?
14
What is the third root of 400 to the nearest integer?
7
What is 926 to the power of 1/3, to the nearest integer?
10
What is the cube root of 2634 to the nearest integer?
14
What is 2227 to the power of 1/9, to the nearest integer?
2
What is the third root of 5843 to the nearest integer?
18
What is the sixth root of 23343 to the nearest integer?
5
What is the square root of 4039 to the nearest integer?
64
What is the square root of 9528 to the nearest integer?
98
What is 2810 to the power of 1/9, to the nearest integer?
2
What is 28454 to the power of 1/7, to the nearest integer?
4
What is 3587 to the power of 1/9, to the nearest integer?
2
What is the third root of 4702 to the nearest integer?
17
What is 910 to the power of 1/8, to the nearest integer?
2
What is 37004 to the power of 1/8, to the nearest integer?
4
What is the square root of 11808 to the nearest integer?
109
What is the cube root of 21171 to the nearest integer?
28
What is the sixth root of 37979 to the nearest integer?
6
What is the fifth root of 9234 to the nearest integer?
6
What is 15589 to the power of 1/2, to the nearest integer?
125
What is 2959 to the power of 1/2, to the nearest integer?
54
What is the square root of 47429 to the nearest integer?
218
What is 1014 to the power of 1/5, to the nearest integer?
4
What is the eighth root of 1006 to the nearest integer?
2
What is the square root of 2778 to the nearest integer?
53
What is the tenth root of 2285 to the nearest integer?
2
What is 34432 to the power of 1/3, to the nearest integer?
33
What is the cube root of 31713 to the nearest integer?
32
What is the square root of 57 to the nearest integer?
8
What is the ninth root of 2343 to the nearest integer?
2
What is the third root of 558 to the nearest integer?
8
What is 10071 to the power of 1/3, to the nearest integer?
22
What is 1620 to the power of 1/4, to the nearest integer?
6
What is the fifth root of 694 to the nearest integer?
4
What is the square root of 776 to the nearest integer?
28
What is the ninth root of 21553 to the nearest integer?
3
What is the tenth root of 1013 to the nearest integer?
2
What is the square root of 2222 to the nearest integer?
47
What is the cube root of 1168 to the nearest integer?
11
What is the square root of 5405 to the nearest integer?
74
What is 2770 to the power of 1/3, to the nearest integer?
14
What is 54 to the power of 1/9, to the nearest integer?
2
What is the eighth root of 35201 to the nearest integer?
4
What is the cube root of 9634 to the nearest integer?
21
What is 278 to the power of 1/3, to the nearest integer?
7
What is the eighth root of 16476 to the nearest integer?
3
What is the square root of 12841 to the nearest integer?
113
What is the square root of 10173 to the nearest integer?
101
What is the seventh root of 474 to the nearest integer?
2
What is the cube root of 81782 to the nearest integer?
43
What is the third root of 11840 to the nearest integer?
23
What is 3632 to the power of 1/3, to the nearest integer?
15
What is the square root of 1319 to the nearest integer?
36
What is 5155 to the power of 1/9, to the nearest integer?
3
What is the seventh root of 21519 to the nearest integer?
4
What is the fourth root of 7493 to the nearest integer?
9
What is the fourth root of 9049 to the nearest integer?
10
What is the ninth root of 162080 to the nearest integer?
4
What is 7552 to the power of 1/10, to the nearest integer?
2
What is the square root of 29332 to the nearest integer?
171
What is 1841 to the power of 1/3, to the nearest integer?
12
What is 714 to the power of 1/6, to the nearest integer?
3
What is the third root of 949 to the nearest integer?
10
What is 735 to the power of 1/3, to the nearest integer?
9
What is the cube root of 363 to the nearest integer?
7
What is the ninth root of 1798 to the nearest integer?
2
What is 1702 to the power of 1/2, to the nearest integer?
41
What is 20699 to the power of 1/3, to the nearest integer?
27
What is 1235 to the power of 1/2, to the nearest integer?
35
What is the cube root of 121951 to the nearest integer?
50
What is 2224 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 30757 to the nearest integer?
13
What is 586 to the power of 1/3, to the nearest integer?
8
What is 12539 to the power of 1/7, to the nearest integer?
4
What is 120 to the power of 1/2, to the nearest integer?
11
What is 794 to the power of 1/2, to the nearest integer?
28
What is 24298 to the power of 1/2, to the nearest integer?
156
What is the square root of 1109 to the nearest integer?
33
What is 61882 to the power of 1/8, to the nearest integer?
4
What is the cube root of 305 to the nearest integer?
7
What is 3064 to the power of 1/2, to the nearest integer?
55
What is the fifth root of 8132 to the nearest integer?
6
What is the cube root of 58665 to the nearest integer?
39
What is the square root of 30 to the nearest integer?
5
What is the fifth root of 10291 to the nearest integer?
6
What is the third root of 2325 to the nearest integer?
13
What is the third root of 69728 to the nearest integer?
41
What is 8450 to the power of 1/3, to the nearest integer?
20
What is the third root of 2156 to the nearest integer?
13
What is the eighth root of 478 to the nearest integer?
2
What is the square root of 19762 to the nearest integer?
141
What is the seventh root of 55272 to the nearest integer?
5
What is 1436 to the power of 1/2, to the nearest integer?
38
What is the eighth root of 158714 to the nearest integer?
4
What is 23710 to the power of 1/4, to the nearest integer?
12
What is the third root of 9944 to the nearest integer?
22
What is 483 to the power of 1/3, to the nearest integer?
8
What is 198 to the power of 1/5, to the nearest integer?
3
What is the third root of 2495 to the nearest integer?
14
What is 3861 to the power of 1/2, to the nearest integer?
62
What is the square root of 1020 to the nearest integer?
32
What is 50570 to the power of 1/6, to the nearest integer?
6
What is 90375 to the power of 1/9, to the nearest integer?
4
What is 15204 to the power of 1/2, to the nearest integer?
123
What is the seventh root of 6324 to the nearest integer?
3
What is the ninth root of 1080 to the nearest integer?
2
What is the third root of 1732 to the nearest integer?
12
What is the seventh root of 17969 to the nearest integer?
4
What is the cube root of 1243 to the nearest integer?
11
What is 16629 to the power of 1/3, to the nearest integer?
26
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
/5)))/y))/y*y**16/y assuming y is positive.
y**(-60)
Simplify (c**(-1/27)*(c**(4/15)/c)/c)/(c**(-5)/c**8) assuming c is positive.
c**(1516/135)
Simplify k**(-1)*k**(1/14)*k*k/(k/(k*k/(k**(-8)*k)))*k/(k/(k**(-1/17)/k)) assuming k is positive.
k**(1907/238)
Simplify (p**(-2/9)*(p**(-16)*p)/p)/((p**(-1/14)/p)/p**(-1/6)) assuming p is positive.
p**(-965/63)
Simplify d*d/d**(-7)*d*(d/(d*d**(5/7)))/d*(d*d*d*d**(-5/2)/d)**(-38/5) assuming d is positive.
d**(423/35)
Simplify (p**(-5))**44*(((p/p**(-1/13)*p)/p*p)/p)/(p*p**(-6/11)) assuming p is positive.
p**(-31371/143)
Simplify (n/((n/((n**(2/29)*n)/n))/n))/((((n/((n/n**(-14))/n))/n*n)/n)/n)*(n/(n**0*n))/(n**13/n*n) assuming n is positive.
n**(89/29)
Simplify (d**(-13)*d**(-4/11))/(d**(-2)/d**(-2/23)) assuming d is positive.
d**(-2897/253)
Simplify (t**(-13)*t)/t**8*((t*t/t**(-23))/t)/t*t*t*t**(-8) assuming t is positive.
t**(-3)
Simplify (a**0)**(2/37)/(a*a**11*a**2) assuming a is positive.
a**(-14)
Simplify ((n*((n*(n/(n/n**0))/n)/n)/n*n)/n**(-1))/(n/n**(2/5)*n)**(-7) assuming n is positive.
n**(61/5)
Simplify (u**(2/9)*u*u**(-1/10)/u)/(u**(-7)*u**(2/9)) assuming u is positive.
u**(69/10)
Simplify (((a**9/a)/a**(-1/7))/(a/a**(-2/5))**16)**7 assuming a is positive.
a**(-499/5)
Simplify (c**(2/31)/c**(-14/9))**(-2/9) assuming c is positive.
c**(-904/2511)
Simplify ((p**(-2/7)*p)**(-25)/(p*p*p**(-1/8)*p**5))**(-49) assuming p is positive.
p**(9695/8)
Simplify ((z*z/z**(-1/3)*z*z)**(-22)/((z**1/z)/z)**37)**(1/2) assuming z is positive.
z**(-175/6)
Simplify v**(-2/19)*(v*v/(v**26/v))/v*v*v*(v/(v**(5/2)*v))/v*v*v/((v/(v**26*v))/v) assuming v is positive.
v**(129/38)
Simplify (h**(-1/29)*h**(-1/20))**(-37) assuming h is positive.
h**(1813/580)
Simplify (z*z**4/z)**(-47)/(z**(-11))**(-24) assuming z is positive.
z**(-452)
Simplify (p*p**5*p)**(-11)*p/(p/(p*p/(p/(p**(-12)/p))*p))*p**(-7)*p assuming p is positive.
p**(-94)
Simplify ((q**1)**(-31)/(((q*q/q**(-1/2))/q)/(q*q*q**(-8))))**(2/35) assuming q is positive.
q**(-11/5)
Simplify ((t**(4/3)*t/((t*t*t**2)/t))**(4/9))**(-6/23) assuming t is positive.
t**(16/207)
Simplify (y/((y/(y/(y/y**(-7/6))))/y)*y**(1/24))/(y/y**(-2/5))**(1/10) assuming y is positive.
y**(-53/200)
Simplify (n**(3/2))**(-2)/(n*n/(n/((n/((n*n*n/(n*(n/(n/(n*n**19*n))*n)/n*n)*n*n)/n)*n)/n))*n**(1/30)) assuming n is positive.
n**(-721/30)
Simplify (((h**(-7)*h)**(6/11))**46)**(-9/8) assuming h is positive.
h**(1863/11)
Simplify (((h**8/h)/((h*h/h**(-3/2))/h))**(-43))**(-2/7) assuming h is positive.
h**(387/7)
Simplify (u**(-11))**50/((u/u**(4/5))/u**(-4)) assuming u is positive.
u**(-2771/5)
Simplify (c/c**11*c**(1/6))**(-2/57) assuming c is positive.
c**(59/171)
Simplify (((g*g**(-6)*g)/g)/(g/g**(2/17)))/(g*g**(1/25)/g)**(-1/26) assuming g is positive.
g**(-64983/11050)
Simplify (l**(1/3))**(2/117)/(l**(-1/16)*l*l/((l/l**(-1/5))/l)*l) assuming l is positive.
l**(-76709/28080)
Simplify (n**(-13)*n)**(-5)*(n/(((n/(n**5/n*n))/n)/n)*n)**(-3/4) assuming n is positive.
n**54
Simplify t*t/(t*t**18)*t**(-1/12)*(t/(t**10/t))/(t*t**11) assuming t is positive.
t**(-445/12)
Simplify (((f*f**(-1/6))/f**(5/4))/((f*f**(-2/9)*f)/(f*f**(-1/4)*f*f)))**(-2/91) assuming f is positive.
f**(-10/819)
Simplify ((u/(u/(u/u**(-12/13)))*u)/u**(1/16))/(u/(u/u**(-7/3)))**40 assuming u is positive.
u**(60025/624)
Simplify (f**2)**(-33)*(f**(-2/17)/f)/(f/(f*f*f**(-11)*f)*f) assuming f is positive.
f**(-1311/17)
Simplify (a/(a/a**(4/3))*a/a**26)**(1/46) assuming a is positive.
a**(-71/138)
Simplify s**(7/3)/(s/(s**(-8/11)*s))*(s**(-1/7))**(2/21) assuming s is positive.
s**(2575/1617)
Simplify (n/(n*n**(18/11))*(n/n**(-6))/n)/(n*n*n**(2/23)/n*n)**(-12) assuming n is positive.
n**(7440/253)
Simplify x**(-8)*x**(1/8)*((x/(((x/(x/(x/(x*x**(3/2)/x*x))))/x)/x))/x*x)**4 assuming x is positive.
x**(81/8)
Simplify (((x*x**(-6))/(x/x**2))/(x*x/x**(-6)*x*x**4))**(-1/8) assuming x is positive.
x**(17/8)
Simplify ((q*q**(-1/3))**(16/3)*(q*q**(-9))/(q/(q*q**(5/4)*q*q)))**(-9) assuming q is positive.
q**(43/4)
Simplify ((l/(l*l**(-4)))/l*l**31)/(l*l**(-15)*l*l)**(4/3) assuming l is positive.
l**50
Simplify (t*t**3)/(t/((t/t**(-8)*t)/t)*t*t)*t**(-5/3)*t**(-2/57) assuming t is positive.
t**(473/57)
Simplify ((d**(2/19))**(-1/22))**37 assuming d is positive.
d**(-37/209)
Simplify u**(-2/13)/u**(-1/28)*(u**(-1/10)/u)**39 assuming u is positive.
u**(-78293/1820)
Simplify (((t/(t/(t**(-3)*t)))**(-42))**(-11/2))**(-2/5) assuming t is positive.
t**(924/5)
Simplify h**13/h**1*(h*(h/(h*h*h*h*h/h**1))/h)/h*h**0 assuming h is positive.
h**8
Simplify (t/t**20)**(-1)*((t/((t**(-30)/t)/t*t))/t*t)/(t/(((t*t**12*t)/t)/t)) assuming t is positive.
t**62
Simplify ((k**(-1)/k**(-2/19))/(((k*k*k/(k*k*k**(8/3)))/k)/k**(-6)))**(-2/61) assuming k is positive.
k**(482/3477)
Simplify ((o*o**(-4)*o)/(((o/o**(5/2))/o)/o))/(o/((o**(4/7)*o)/o))**16 assuming o is positive.
o**(-75/14)
Simplify (l/l**(-2/43)*l**1/l)**(-3) assuming l is positive.
l**(-135/43)
Simplify v**9*(v*v**(-4))/v*v*(v**(-3))**(-43) assuming v is positive.
v**135
Simplify (k**(-4)*k*k/(k*k/k**(-5/4)*k*k)*(k*k*k/k**(2/3))/(k/(k**4/k)*k))**(7/4) assuming k is positive.
k**(-329/48)
Simplify (t**(-1/9))**(9/11)/(t/t**(-7)*t*t/(t**4/t)*t) assuming t is positive.
t**(-89/11)
Simplify (m**(2/11)/m)**(2/45)*m**9*m**(1/2) assuming m is positive.
m**(1041/110)
Simplify ((k*k/k**(-5/11))/(k/(k/k**(-13))))/(k**15)**(2/123) assuming k is positive.
k**(6860/451)
Simplify z*z*z*z**(-1/6)*z*z*z**7/z*z*z*z*z/(z*z**(-4)/z)*(z*z/(z**(-2/7)*z))/z*z assuming z is positive.
z**(845/42)
Simplify (((c/c**(-1/14))/c*c)**(-2/5))**(-3/8) assuming c is positive.
c**(9/56)
Simplify (l**(-4/5))**(4/37)/(l/l**(-3/4)*(l*l**27)/l) assuming l is positive.
l**(-21339/740)
Simplify ((f*f**17)/f**(-15))/(f**(-3/8)*f/f**(5/2)) assuming f is positive.
f**(279/8)
Simplify ((o*o/o**0)/o**(-4))/(o**(5/8)*o**(3/14)) assuming o is positive.
o**(289/56)
Simplify (n*n**(-3)/n)**36*(n*((n*n**(-2/11))/n)/n)/(n*n*n**(8/7)/n*n*n*n) assuming n is positive.
n**(-8726/77)
Simplify (a*a**(-2/15))**(2/43)*a**(-14)/(a/(a**(-2/11)*a)) assuming a is positive.
a**(-100334/7095)
Simplify (b**7)**35/(b**(-27)*b**(-6/25)) assuming b is positive.
b**(6806/25)
Simplify ((((j**(-9)/j)/j)/j)/j*j*j*j**(4/13))**(-1/34) assuming j is positive.
j**(139/442)
Simplify (h*h**(-6)/h*h*h**(-4/9))/(h**(3/7))**(1/3) assuming h is positive.
h**(-352/63)
Simplify (a**(-4/5)/(a*a*((a/a**(-7/6))/a*a)/a))/(a**(-2))**25 assuming a is positive.
a**(1381/30)
Simplify (s/s**15)/s**(3/10)*(s/s**(2/19))**(-42) assuming s is positive.
s**(-9857/190)
Simplify (((a*((a/a**(1/6))/a)/a)/a*a**(1/8)*a)/(a**(-1))**(1/4))**(-9) assuming a is positive.
a**(-15/8)
Simplify g**6*g**(-6/7)/g*g**0*g*g**(-7)*g assuming g is positive.
g**(-6/7)
Simplify (q*((q**(-9)*q)/q*q)/q*q**(4/7)*q)/((q**(-9)*q)/q*q/q**(4/3)*q) assuming q is positive.
q**(40/21)
Simplify ((f/f**(-2))**(-40)/((f*f/f**2)/(f/(f*f**(4/5)))))**(-2) assuming f is positive.
f**(1208/5)
Simplify (((c*c**4)/(c*c**(-8/5)))/(c**4*((c*c**(-4/9)*c*c)/c*c)/c))**(-43) assuming c is positive.
c**(-86/45)
Simplify ((c*c*c**(-3/4))/c*c)**(-1)/(c**4)**(-3/5) assuming c is positive.
c**(23/20)
Simplify (k**(14/5)/k**(-31))**(4/19) assuming k is positive.
k**(676/95)
Simplify i**(-10)*i/((i*i**(-8))/i)*i*i*(i**(-2/17)*i)/i*i**(-13) assuming i is positive.
i**(-206/17)
Simplify y**1/(y/(y/(y*y**(2/17))))*(((y**1/y)/y)/y)**(-3/7) assuming y is positive.
y**(88/119)
Simplify (j/(j*j*j*j*j/((j*j/((j*j/(j*j**(-18)))/j))/j)))**41*(j*j*j**(-1/8)*j)/(j/(j/j**(-2/51))) assuming j is positive.
j**(-350099/408)
Simplify (((g*g**1*g)/g*g)**(18/11)/(g**(-1/2))**(4/7))**36 assuming g is positive.
g**(14400/77)
Simplify (m**(-1/5))**(-1/8)/(m/(m*m/m**(-3)*m))**(4/23) assuming m is positive.
m**(823/920)
Simplify ((g**(-2/5)*g)**(2/39))**20 assuming g is positive.
g**(8/13)
Simplify ((m/m**1*m*m*m**(-4)*m*m*m)**(3/28))**22 assuming m is positive.
m**(33/14)
Simplify (b*b/(b/((b**(-9)/b)/b*b))*b*b**(-1))/(b**8/(b**(1/9)*b)) assuming b is positive.
b**(-143/9)
Simplify ((m/m**(-2/7))/m)**(11/9)*(m/m**(-3))**(-7) assuming m is positive.
m**(-1742/63)
Simplify (d*(d*d**(-7))/d)**(4/21)/(d**(-4/7)*(d/d**(-2/27))/d) assuming d is positive.
d**(-122/189)
Simplify (
|
{
"pile_set_name": "DM Mathematics"
}
|
= x. Let a = 19 + t. Is 10 a factor of a?
True
Suppose 0 = 68*i - 66*i + 5*m - 2078, 2*i - 2062 = -m. Is i a multiple of 144?
False
Let n = -131 + 409. Let c = n + -188. Is c a multiple of 10?
True
Suppose -2*l - 232 - 32 = 0. Let g = l + 146. Is g a multiple of 7?
True
Let o be -4 + 6 + -3 - -25. Let n = 90 - o. Is 22 a factor of n?
True
Let p(t) = 3*t**2 - 26*t - 61. Is 37 a factor of p(20)?
False
Let i = 1073 + 627. Is i a multiple of 34?
True
Let w = -138 - -229. Is 13 a factor of w?
True
Let u = -221 + 244. Is 10 a factor of u?
False
Let q(t) = -t - 8. Let k be q(-10). Let x be 27 - (k - (-1 - 0)). Is 8/(-6)*(-396)/x a multiple of 8?
False
Let k(h) be the second derivative of 5/2*h**2 + 0 - 6*h + h**3. Is 14 a factor of k(6)?
False
Suppose 2*a = 3*t + 403, 5*t - 29 = a - 234. Is a a multiple of 40?
True
Suppose 2*a + 12 = 6*a. Let b(s) = 0*s + 8*s + 435 - 440. Does 19 divide b(a)?
True
Let c(a) = -3*a - 12. Let g(q) = 7*q + 25. Let x(j) = -9*c(j) - 4*g(j). Let h be x(9). Does 3 divide 8 + 3 + h + -2?
False
Let z(c) = 27*c + 40. Is z(12) a multiple of 14?
True
Does 49 divide (4431/6 - 1) + (-55)/22?
True
Let n = -308 - -530. Is 5 a factor of n?
False
Let r(p) = -p**2 - 7*p - 2. Let t be r(-6). Suppose 0 = t*c + c - 20. Suppose 20 = 4*h, 12 + 88 = c*v + 4*h. Does 9 divide v?
False
Is (5 - 9) + (4590/3)/3 a multiple of 22?
True
Suppose -t - 4*t = -15. Let a(l) = -l**2 + 3*l - 4. Let s be a(t). Does 3 divide s + 7 - (-4 - -1)?
True
Let l = -71 + 116. Suppose -5*w = -10, -2*z + 4*w = -15 - l. Let o = z + -24. Is 9 a factor of o?
False
Let n be 0 + ((-6)/3 - -10). Suppose -n = 3*l + l. Is 11 a factor of (-3 + 25)*(-3)/l?
True
Suppose 7*g - 581 - 616 = 0. Is 5 a factor of g?
False
Let r = 10 - 8. Suppose 4*s - 268 = -4*z, r*s + 221 = 3*z - 0*s. Is 11 a factor of z?
False
Suppose -151 = 5*d + 4*u - 381, 190 = 4*d + 2*u. Is d a multiple of 10?
True
Let h(m) = m**3 - 2*m + 12 - 22 + 6*m**2 + 13. Is 25 a factor of h(-5)?
False
Let f(g) = 2*g**3 - 3*g**2 + 4*g - 1. Let s be f(3). Suppose -2*u - 2 = -4. Suppose -p = -s + u. Does 28 divide p?
False
Let g(u) = 11*u**3 + 12*u**2 - 2*u - 39. Does 27 divide g(8)?
True
Let t = -24 - -18. Let h be 55/2 + 3/t. Let f = h - 8. Does 5 divide f?
False
Let l be (0 + -2)*(-9)/(-2). Let f = l + 6. Does 13 divide (f - -2)/((-3)/57)?
False
Suppose -4*a + 4 = -8. Suppose 0 = -0*b - a*b - g + 90, 4*b - 121 = -g. Does 5 divide b?
False
Let c = -4 - -5. Let b be (5 + c)/(12/(-18)). Let t = b - -39. Is t a multiple of 11?
False
Let t be 2/3 + (-342)/(-54). Is 670/t + 12/42 a multiple of 32?
True
Suppose 0*h - 17 = -5*h - 2*i, -3 = h + 2*i. Let s(n) = n**3 - 4*n**2 - n - 6. Is 14 a factor of s(h)?
True
Let b be (-2)/(-13) - (-2)/((-26)/(-37)). Suppose -t - b*n + 56 = 14, 0 = 3*t - 2*n - 104. Is 6 a factor of t?
True
Let i(j) be the second derivative of 2*j**3 + j**2 - 16*j + 7*j + 6*j. Does 16 divide i(3)?
False
Let d = 26 - 5. Suppose d + 21 = g. Does 6 divide g?
True
Suppose -234 = -8*j + 2*j. Suppose j + 421 = 4*c. Does 31 divide c?
False
Let f = 611 + -88. Is 48 a factor of f?
False
Let m = -863 - -929. Is m a multiple of 2?
True
Let c(w) = -w**3 - 19*w**2 + 11*w - 46. Let x be c(-20). Let r = 190 - x. Is 5 a factor of r?
False
Let r = 171 - 118. Let u = 151 - r. Is u a multiple of 24?
False
Let m(h) be the third derivative of -h**4/12 + 10*h**3/3 + 11*h**2. Does 7 divide m(-11)?
True
Suppose t = 37 - 8. Let u = 89 - t. Is u a multiple of 20?
True
Let v = 933 - 882. Is 17 a factor of v?
True
Let u(l) = l**3 + l**2 + 5*l + 4. Let f be u(-3). Let s = 42 + f. Let z = s + 15. Is z a multiple of 9?
False
Let d(p) = 2*p**3 + p**2 + p + 2. Let u be d(-2). Let s = 12 + u. Suppose -4*y = s, 2*y + 29 + 1 = 3*t. Is 10 a factor of t?
True
Suppose -105*y + 104*y = 5*t - 3655, 5*t + 25 = 0. Is 16 a factor of y?
True
Let b be (-72)/(0 + -2)*1. Let y = b + -22. Is 7 a factor of y?
True
Suppose -2*i + i = -6. Does 16 divide (-128)/i*(-9)/6?
True
Let y = -66 - -63. Let a(c) = -c**3 + 6*c + 6. Is 5 a factor of a(y)?
True
Let y = 1068 + -1012. Does 8 divide y?
True
Let q be 0 - (0 + (-2)/1). Suppose -2*g = -h - 0*g - 1, 11 = 5*h - q*g. Suppose h*y + 0*y = 141. Is y a multiple of 12?
False
Let v(a) = 5*a**2 - 10*a - 24. Let j be v(-10). Suppose j = 8*d - 240. Is 34 a factor of d?
True
Let d = -60 - -42. Let n be -4 - -1 - d/(-6). Is 13 a factor of (-256)/n + 4/12?
False
Suppose -54*o = -55*o + 15. Let v(s) = s**2 - 9*s - 45. Is 39 a factor of v(o)?
False
Let a = -59 - -59. Suppose -9*h + 1038 + 168 = a. Does 15 divide h?
False
Let w = -427 + 715. Let t = 496 - w. Suppose 3*k - t = -k. Does 26 divide k?
True
Let a = 134 + 698. Is 28 a factor of a?
False
Let a(h) = -21*h**2 + 6*h - 11. Let z(k) = 10*k**2 - 3*k + 5. Let m(t) = -2*a(t) - 5*z(t). Let v be m(-4). Let c = -100 - v. Is 16 a factor of c?
False
Let z(c) = -c**2 + 11*c + 29. Let f be z(13). Let g = 7 - f. Suppose 2*k - 3*u - 112 = 29, -2*k + 144 = -g*u. Is 18 a factor of k?
False
Let n(b) = 906*b + 100. Does 23 divide n(2)?
False
Is (3 + (-492 - -7))/(-2) a multiple of 12?
False
Suppose 140 = 6*k + 2. Let c = 31 + k. Does 18 divide c?
True
Let z be ((-24)/(-18))/((-8)/12). Is 4 a factor of ((-6)/(0 + z))/(9/258)?
False
Suppose -6*y = 5*t - 4*y - 122, -2 = -2*y. Is t a multiple of 3?
True
Suppose i - 2 = w + 8, 4*i = w + 22. Let s(y) = 10*y - 29. Let a(x) = 9*x - 28. Let t(z) = w*s(z) + 7*a(z). Is 26 a factor of t(16)?
True
Let k = -29 - -44. Let q(f) = f**2 + k + f**2 + 15*f - 6*f**2 + 5*f**2. Does 6 divide q(-15)?
False
Suppose -f + 41 = b + 2*f, 0 = -b - 5*f + 49. Let t = b + -31. Let y(k) = -4*k**3 + k**2 - 3*k - 2. Is y(t) a multiple of 20?
True
Let k(q) be the third derivative of q**5/20 + q**4/8 + q**3/6 + 5*q**2. Let t(c) be the first derivative of k(c). Is 27 a factor of t(13)?
True
Let c = -40 - -42. Suppose 0 = b - 3. Suppose 0 = -b*j + 12, -c*j + 2 = m - 5*j. Is m a multiple of 14?
True
Let z(a) = -44*a**3 - 8*a**2 + 4*a + 2. Is z(-3) a multiple of 14?
True
Let u = -16 - -9. Let f = u - -22. Let g = f + 1. Is g a multiple of 16?
True
Suppose -m + 7 = -194. Is 37 a factor of m?
False
Suppose -5*m + 20 = 0, -2*m - 2*m + 538 = 3*j. Suppose 4*p - j = 90. Is 9 a factor of p?
False
Suppose -2*p + 446 = -522. Does 44 divide p?
True
Let g(o) = o**3 - 13*o**2 - 2*o - 24. Is 16 a factor of g(14)?
True
Suppose 17*q = 12986 + 46021. Is q a multiple of 39?
True
Let s(v) = -v**3 - 10*v**2 + 13*v - 30. Is s(-15) a multiple of 90?
True
Let w be 8/2*3/(3/(-14)). Let d = w + 184. Does 32 divide d?
True
Let y(u) = 106*u**2 + u - 12. Is 23 a factor of y(4)?
False
Let g(q) = 27*q + 10. Let n be g(4). Suppose n = 2*f - f. Is f a multiple of 26?
False
Suppose -5*u + 3626 = 9*u. Is u a multiple of 37?
True
Suppose -5*t + 10 = -10*t. Does 12 divide t/13 - 21686/(-182)?
False
Suppose -j - 49 = -5*q, 3*j - 4*j - 9 = -q. Suppose 8*y - q*y + 342 = 0. Does 19 divide y?
True
Suppose 3*v - 6 = 0, -25*a - 2*v - 2876 = -27*a. Is a a multiple of 40?
True
Let y be 0*(-1)/4*-1. Suppose -5*w + w + 5*m + 149 = y, -4*w + 104 = 4*m. Is w a multiple of 31?
True
Let j be ((-1)/(-4))/(6/120). Suppose m - 600 = -j*m. Let s = m - 60. Does 5 divide s?
True
Suppose 11*z + 9*z - 300 = 0. Is z a multiple of 15?
True
Let t(d) = -47*d + 33. Is t(-21) a multiple of 20?
True
Suppose -q + 30 = 4*q. Suppose -q*u - 228 = -8*u. Is 26 a factor of u?
False
Let l = 7 - 4. Suppose -l*a + 28 - 4 = 0. Suppose -3*b + 4*b = a. Is 4 a factor of b?
True
Let j(r) = r**2 + r + 1. Let f(k) = -6*k**2 - 16*k + 6. Let w(c) = f(c) + 5*j(c). Does 19 divide w(-7)?
False
Let g(z) = -38*z + 7. Is 14 a factor of g(-22)?
False
Suppose -305 = 2*g - 7*g. Let a = 106 - g. Is 3 a factor of a?
True
Does 15 divide (-160)/(-24)*(-135)/(-6)?
True
Let b = -10 - -10. Suppose b*r + f = -r + 827, -4135 = -5*r + 2*f. Is 15 a factor of r/11 - 4/22?
True
Let x = 19 + -19. Suppose x = -11*f + 6*f - 85. Let n = f - -31. Is n a multiple of 4?
False
Let j(h) = -h**2 + 1. Let w(y) = -y**3 - 5*y**2 + 2*y - 2. Let k(q) = 5*j(q) - w(q). Is 9 a factor of k(4)?
True
Suppose 5*s = -2*r - 40, -94 = 4*r - 0*s + 3*s. Is ((-15)/r)/(1/205) a multiple of 38?
False
Let q be 290/3 + (-3)/(-9). Let k(o) = o + 109. Let g be k(0). Suppose 5*j + 4*l - 47 - q = 0, -4*j + g = -3*l. Is 4
|
{
"pile_set_name": "DM Mathematics"
}
|
Let n be (-13 - -41)/(2/5200). What is n rounded to the nearest ten thousand?
70000
Let x = 1090.00615 + -1090. Round x to four decimal places.
0.0062
Let m = 0.9208 - 0.0748. Let p = 1.335 - m. What is p rounded to one decimal place?
0.5
Let x = 0.453 - 0.452997781. Round x to seven decimal places.
0.0000022
Let z = -752.22 + 759. What is z rounded to 1 dp?
6.8
Let i be 2*(180/(-3))/2. Let p be ((-329)/(-3))/((-2)/i). What is p rounded to the nearest 100?
3300
Suppose q + 36964001 = 4*j, 58*q - 61*q = 3. Round j to the nearest 100000.
9200000
Let o = 8.34 + -0.65. What is o rounded to zero decimal places?
8
Let p be (-8)/(-4) - (-3 - 4). Let z = p + -3. Suppose -z*j - 32 = -2*j. What is j rounded to the nearest 10?
-10
Let o = -61500 + 15400. Round o to the nearest one thousand.
-46000
Let i be (-52503 - -3)/(4/(-400)). What is i rounded to the nearest 1000000?
5000000
Let b = -398.63 - 16.57. Round b to the nearest ten.
-420
Suppose -27*c - 24*c + 1002150 = 0. What is c rounded to the nearest ten thousand?
20000
Let u = -298 - -297.9998862. What is u rounded to 4 decimal places?
-0.0001
Let k(r) = -4*r**3 - 2*r**2 - 19*r + 5. Let h be k(-23). Let m = h + 948. What is m rounded to the nearest 10000?
50000
Suppose -2*u + l = -5040001, 0 = -3*u - 0*l + 3*l + 7560003. Round u to the nearest one million.
3000000
Let h = -3.95 - -2.4. Let t = -1.5499883 - h. Round t to six decimal places.
0.000012
Let s = -580661 + 2107461. What is s rounded to the nearest 10000?
1530000
Let w = -284803188 - -284803219.9999943. Let v = w - 32. Round v to six decimal places.
-0.000006
Let k = -30 - -40. Let j be (-45)/k*-2*346/6. What is j rounded to the nearest 100?
500
Let g = -2391.61 - -2372. Let z = -288 - -286.59. Let i = z - g. Round i to 0 decimal places.
18
Let t = 2224 - 2224.0002038. Round t to four dps.
-0.0002
Let s = -19 - -27.5. Let x = s + -8.602. What is x rounded to two dps?
-0.1
Let z = 1374 + -1373.9998174. What is z rounded to 6 decimal places?
0.000183
Let y = -431470.7850007 + 431496.785. Let h = 25.9806 + 0.0194. Let g = y - h. Round g to six dps.
-0.000001
Let f(t) = 2*t - 4. Let q be f(5). Let m(x) = -x**2 + 5*x + 6. Let i be m(q). Suppose i = 2*d - 3*d. Round d to zero decimal places.
0
Let d(j) = 1866666*j + 12. Let n be d(9). Suppose -2*x = 4*t - n, -4*t = -t - 3*x - 12599991. Round t to the nearest one million.
4000000
Suppose 0 = -9*t + 113371 - 375271. What is t rounded to the nearest one thousand?
-29000
Let d = -1183676 + 835676. What is d rounded to the nearest 10000?
-350000
Let x = -5782 + 5782.4489. What is x rounded to 2 decimal places?
0.45
Let t = 235665 - -6335. Round t to the nearest ten thousand.
240000
Let y = -0.622 + -1588.378. Let k = y - -1789.6. Let f = k - 185. Round f to the nearest integer.
16
Let k(v) = v**3 + 7*v**2 + 2*v - 14. Let x be k(-6). Let t be 56/x + 4/10. Suppose t*b = -10619754 - 7980246. What is b rounded to the nearest 1000000?
-3000000
Let k = 7.3 - 6. Let y = -1.638 - -0.34. Let j = y + k. What is j rounded to three decimal places?
0.002
Suppose 242592 = 4*b + 4*j, -5*b + j + 301274 = -1966. Suppose 5*p = 4*u - u - 43, -3*u + p = -23. Suppose 0 = u*h + b + 149352. Round h to the nearest 1000.
-35000
Let h = 474 - 473.999621. What is h rounded to four dps?
0.0004
Let h = 213703.99871 + -213700. Let x = -0.0845 - 3.9155. Let t = h + x. Round t to four dps.
-0.0013
Let x = -8 - -14.5. Let s = x - 6.21. Let p = s - 0.290088. What is p rounded to 5 decimal places?
-0.00009
Let o be (160/(-15) + 3)*-4053. Let h = 15927 + o. Round h to the nearest 10000.
50000
Let m be (-2204)/2 - ((-289)/(-17) - 20). What is m rounded to the nearest 100?
-1100
Let i be (270/(-25))/(6/(-20)). Let r be (-18)/i*508000/(-1). Round r to the nearest 100000.
300000
Let c be (-371)/21 - -18 - 4840/(-6). What is c rounded to the nearest 10?
810
Suppose -150*r - 16860 = -162*r. Let u be (105/(-4))/(3/(-12)). Let p = u - r. Round p to the nearest 100.
-1300
Suppose -13*w + 4613004 = -11*w. Suppose 661502 - w = 5*m. Round m to the nearest 10000.
-330000
Let p = -795.001935 - -795. Round p to 4 decimal places.
-0.0019
Suppose -15*o - 77459 = 26626. Round o to the nearest one thousand.
-7000
Let t be 0 + -4 - (-14)/1. Let x = t - 10. Let y be x/19 + (-300001 - -1). Round y to the nearest one hundred thousand.
-300000
Suppose -3*j - 8180990 = 5*p, -j + 10*p - 12*p - 2726996 = 0. What is j rounded to the nearest one million?
-3000000
Suppose 3 = -2*n + 1. Let y = n - -2. Suppose -3*v - 16399 = -2*s - 2*v, 0 = v - y. Round s to the nearest 1000.
8000
Let s be (8/5)/(36/90). Let o be 436*-2*(-10)/s. Round o to the nearest one hundred.
2200
Suppose -m + 13*m = -197160. What is m rounded to the nearest 100?
-16400
Suppose -65 = -4*j - 13. Let q = -2 + j. What is q rounded to the nearest ten?
10
Let y = -96148195.000063 + 96148149. Let o = y - -46. What is o rounded to five decimal places?
-0.00006
Let d = 1.5414 - 1.44461. What is d rounded to three dps?
0.097
Let m = -5697083971 - -1537935836. Let j = m - -4159148599.0000219. Let b = -464 + j. Round b to six dps.
0.000022
Let d = 26067.9982 + -26072. Let k = 84 - 88. Let c = d - k. Round c to 3 dps.
-0.002
Let d(k) = k**2 + 11*k + 34. Let r(i) = -13*i**3 + i**2 - 4*i + 4. Let c be r(1). Let o be d(c). Round o to the nearest 10.
50
Let a be 1 + (-2 - -1) + 0. Suppose 6*y + 44708 - 2174708 = a. What is y rounded to the nearest 10000?
360000
Suppose -c - 6 = -2*c. Let t(y) = -y + 3*y - 7*y + c*y**2 + 6 - 2*y. Let o be t(6). What is o rounded to the nearest 100?
200
Let s = -477322 + 1172322. Suppose 7*q - s = 2*q. What is q rounded to the nearest ten thousand?
140000
Let f(g) = 257*g. Let y be f(1). Let p be 9*y*(-65351)/(-39). Suppose -p = o + 1724183. Round o to the nearest 1000000.
-6000000
Let j be (10200*2)/(7/((-21350)/3)). Round j to the nearest one million.
-21000000
Let n = 68 + -67.829. Let k = n - 0.1821. What is k rounded to three decimal places?
-0.011
Let c(f) = f**3 + 10 - 5 - 14*f**2 - 8*f + 6. Let y(t) = t**2 + 7*t + 3. Let p be y(-8). Let x be c(p). Round x to the nearest one hundred.
-400
Let d = -672 - -670.494. Round d to one dp.
-1.5
Let r = -126521498052.5644 - -126510131074.66440003. Let a = r + 11366978. Let x = -0.1 + a. What is x rounded to seven decimal places?
0
Let a = -75874 - -75874.71086. Let x = 0.71 - a. What is x rounded to four dps?
-0.0009
Let w = -472 + 472.000003567. What is w rounded to 7 dps?
0.0000036
Let o = -2.18 - 5.79. What is o rounded to the nearest integer?
-8
Let v = 9625.3596 + -9628. Let j = -6.64072 - v. Let r = j + 4. What is r rounded to four decimal places?
-0.0003
Let n = -0.036 + 1.736. Let h = n - 1.70007. What is h rounded to 4 dps?
-0.0001
Let y = -15 + 14.53. Let x = -0.5 - y. Let p = x - -0.030005. Round p to five dps.
0.00001
Let i = -54 - -331. What is i rounded to the nearest 100?
300
Let g = -10.5 - -10.50000507. What is g rounded to 7 dps?
0.0000051
Let k(v) = 34*v**2 - 144*v - 77. Let z be k(-19). Round z to the nearest one thousand.
15000
Let j = -1.102 + -669.898. Let r = 666.91 + j. Round r to one decimal place.
-4.1
Let k be ((-8)/6)/((-2)/3). Let t be 5*k + (-9 - -7). Let m be 11*(t/4 - -18). What is m rounded to the nearest 100?
200
Let j(u) = 36*u**3 - 20*u**3 - 17*u**3 - 3*u - 20 - 8*u**2. Let s be j(-8). Suppose s*m = 2*m + 100000. Round m to the nearest one hundred thousand.
100000
Let a be ((-312)/54 - -6) + (-4586)/(-18). Let l be (-30)/(1 + (-245)/a). What is l rounded to the nearest one hundred?
-800
Let m = 1013818063 + -1013818032.00000005. Let z = m - 31. What is z rounded to seven dps?
-0.0000001
Suppose 99*k + 207 = 90*k. Suppose -4*x - 96 = -c, x + 22 = -c + 3. Let h = x - k. What is h rounded to the nearest one hundred?
0
Let g = -32618 - -96927. Suppose 4*a = -g + 1729. Let r = a + 31645. Round r to the nearest ten thousand.
20000
Let x = -0.1 - 1.6. Let y = x - -1.6. Let t = y + 0.09975. Round t to four dps.
-0.0003
Let m = 1096 + -1850. Let w = m - -690.2. Let t = -54 - w. Round t to the nearest integer.
10
Let n = 0.1227 + -0.1227010384. Round n to seven dps.
-0.000001
Let j = -24 + 13. Let f be (-980099982)/(-99) - 2/j. What is f rounded to the nearest one million?
10000000
Let i = -6.519914
|
{
"pile_set_name": "DM Mathematics"
}
|
ind the third derivative of -55*v**2 - 5*v**6 + 51948*v**3 + 2*v**4 - 51948*v**3 wrt v.
-600*v**3 + 48*v
Suppose -45 = 9*q - 12*q. Find the first derivative of -q + 9 + 36*b**2 + 20 wrt b.
72*b
What is the third derivative of p**3 - 55*p**2 - 199 + 201 + 201*p**4 - 195*p**4 wrt p?
144*p + 6
Let s(j) = -20*j**2 + 3. Let r(q) = 10*q**2 - 2. Suppose -35 = 3*k + 4*k. Let i(o) = k*r(o) - 2*s(o). Find the first derivative of i(t) wrt t.
-20*t
Suppose -z - 4 = -u, -2*u - 10 = -6*u + z. What is the third derivative of -6*p**4 - 6*p**u + 4*p**2 + 11*p**2 wrt p?
-144*p
Let d(f) be the first derivative of -43*f**5/5 + 103*f + 431. What is the first derivative of d(b) wrt b?
-172*b**3
Let z be 1 - (-4)/(4/4). What is the first derivative of 9*l**2 - 2 - z - 14*l**2 - 1 wrt l?
-10*l
Let d(u) = -402*u**3 + 3*u**2 - 32*u - 60. Let k(x) = 403*x**3 - 3*x**2 + 33*x + 50. Let w(g) = 5*d(g) + 6*k(g). Find the third derivative of w(n) wrt n.
2448
Find the second derivative of 166*o - 1584*o**2 + 1584*o**2 - 85*o**5 - 101*o**5 + 2 wrt o.
-3720*o**3
Let m(o) = o**2 - 2*o + 10. Let j be m(3). Find the second derivative of -2960*r**3 + 2960*r**3 - j*r**4 - 18*r wrt r.
-156*r**2
Let h(x) = 463*x**3 - 11*x**2 - 9*x + 86. Let n(v) = -231*v**3 + 6*v**2 + 5*v - 42. Let y(d) = -6*h(d) - 11*n(d). Find the second derivative of y(i) wrt i.
-1422*i
Suppose 0 = r + 3*r. Suppose 0 = b + 4*m + 7, r*b - 2*m - 2 = 2*b. What is the first derivative of 3 - b + 3 + 3*v**4 wrt v?
12*v**3
Let c(z) be the third derivative of 89*z**5/12 + 29*z**4/8 - 7*z**2 - 36*z. Find the second derivative of c(d) wrt d.
890
Suppose -2*m - 72 = -6*m. Find the second derivative of 12*k - 27 + m*k**4 + 0*k + 27 wrt k.
216*k**2
Let j(x) = 62*x**3 - 3*x**2 - 79. Let y(b) = 62*b**3 - 2*b**2 - 79. Let l(v) = -2*j(v) + 3*y(v). What is the first derivative of l(d) wrt d?
186*d**2
Let t(p) = 82*p**3 - 5*p**2 + 36*p. Let z(c) = -81*c**3 + 4*c**2 - 36*c. Let w(u) = 4*t(u) + 5*z(u). Find the second derivative of w(b) wrt b.
-462*b
Let n(d) = -37*d**3 + 3*d**2 + 8*d + 1. Let z(h) = -36*h**3 + 2*h**2 + 8*h. Let j(g) = -3*n(g) + 4*z(g). What is the second derivative of j(x) wrt x?
-198*x - 2
Let t(u) = -u**3 - 5*u**2 + 3*u - 127. Let o(k) = -3*k**3 - 11*k**2 + 7*k - 254. Let q(p) = -3*o(p) + 7*t(p). What is the derivative of q(l) wrt l?
6*l**2 - 4*l
Let a(k) be the first derivative of 17*k**4/4 - k**2/2 + 70*k + 84. Differentiate a(g) with respect to g.
51*g**2 - 1
Let g(c) be the first derivative of -6*c**2 - 24 - 5*c**2 + 2 - 2*c**3. What is the second derivative of g(j) wrt j?
-12
Let z = -20 - -22. What is the third derivative of -5*k**3 + 3*k**3 + z*k**2 + k**2 + 2*k**2 wrt k?
-12
Let d(m) be the second derivative of m**5/5 + 3*m**4/4 - 25*m**3/6 + 5*m**2/2 + 336*m. Find the second derivative of d(u) wrt u.
24*u + 18
Find the third derivative of -108*x**2 + 119*x**2 - 2*x**5 - 4 + 3 wrt x.
-120*x**2
Let c(l) be the third derivative of l**6/40 + 7*l**5/60 - 5*l**3/6 - 45*l**2. Find the first derivative of c(z) wrt z.
9*z**2 + 14*z
Let x(s) = -57*s**4 + 5*s**3 - 14. Let u(w) = 29*w**4 - 3*w**3 + 7. Suppose -2 + 7 = g. Let v(y) = g*u(y) + 3*x(y). Find the first derivative of v(q) wrt q.
-104*q**3
Let s(d) = d**5 - d**4 + 2*d**3 - d**2 - 30*d + 2. Let z(k) = -k**5 - k**3 + k**2 - 1. Let p(y) = -s(y) - 2*z(y). What is the third derivative of p(h) wrt h?
60*h**2 + 24*h
Let o(w) be the second derivative of 29*w**7/2520 - w**5/5 - w**4/2 - 40*w. Let b(s) be the third derivative of o(s). What is the derivative of b(a) wrt a?
58*a
Let m(q) = 30*q**4 - 8*q**2 + 10*q - 550. Let z(c) = 10*c**4 - 3*c**2 + 4*c - 184. Let x(s) = 3*m(s) - 8*z(s). What is the first derivative of x(n) wrt n?
40*n**3 - 2
Let r(q) be the first derivative of 0*q**5 + 0*q**4 + 4*q + 7 + 7/6*q**6 + 1/3*q**3 + 4*q**2. Find the second derivative of r(o) wrt o.
140*o**3 + 2
Suppose d = -5*f - d + 28, -2*d = 3*f - 20. Let s(q) = -q**2 + 9*q - 7. Let m be s(7). What is the second derivative of -f + 5 - i**2 - 1 - m*i wrt i?
-2
Suppose 89 = 33*v - 10. Let h(q) be the first derivative of 0*q**v + q**4 + 0*q + 5 + 5/2*q**2. What is the second derivative of h(s) wrt s?
24*s
Let d be (0 - 0/1) + 2. Suppose 10 = 3*h - z, -2*z - 10 = -d*h + h. What is the derivative of 5*y**4 + h - 2*y**4 + y**4 wrt y?
16*y**3
What is the third derivative of -60*p**2 + p - 191*p**6 - 11*p**3 - 202*p**2 + 11*p**3 wrt p?
-22920*p**3
Let d(j) be the third derivative of j**6/90 - j**5/8 + 7*j**3/3 + 3*j**2. Let w(f) be the first derivative of d(f). Find the second derivative of w(t) wrt t.
8
Suppose 4*p + p + 15 = 0, -2*u = -4*p - 20. Suppose 4*o + c = 13, u*c + c + 4 = 3*o. Differentiate -o*v**4 + 4*v**4 - 3*v**4 + 8 - 5 wrt v.
-8*v**3
Let q(w) = -7*w - 17. Let j be q(-4). What is the second derivative of -5 - j*s + 17 - 12 + 4*s**5 wrt s?
80*s**3
Let x(o) be the first derivative of o**9/126 - 2*o**5/15 + 9*o**2/2 - 5. Let j(f) be the second derivative of x(f). Find the third derivative of j(t) wrt t.
480*t**3
What is the second derivative of -12*a + 4*a + 33*a**2 + 3 + 4*a + 66*a**2 - 27*a**2 wrt a?
144
Find the second derivative of 4 - 43*c**4 + 2 + 10*c - 3*c - 13 - 2*c**2 wrt c.
-516*c**2 - 4
Find the second derivative of 4736*g - 4683*g - g**2 + 101*g**2 wrt g.
200
Suppose -t - 8 = -3*w, w = 3*t - 0 + 8. Suppose w*j - 6 = 2. Find the third derivative of 7*g**4 + g**2 + g**4 + 5*g**2 + 0*g**j wrt g.
192*g
Let a(r) = -2*r + 2. Let j(m) = 5*m + 28. Let u(v) = 15*a(v) + 3*j(v). What is the derivative of u(g) wrt g?
-15
Let h be ((-15)/(-10))/((-3)/(-4)). What is the derivative of 23*f - 19*f + 37 - 12*f**3 - h*f wrt f?
-36*f**2 + 2
Let y = 33 + -20. What is the derivative of 61 + 17*q**3 + y*q**3 - 6*q**3 - 6*q**3 wrt q?
54*q**2
Let t(d) = -4*d**3 - 9*d**2 + 14*d. Let g(q) = -10*q**3 - 17*q**2 + 28*q. Let j(w) = 3*g(w) - 7*t(w). Find the second derivative of j(o) wrt o.
-12*o + 24
Let p(k) be the first derivative of k**5/4 - 5*k**4/12 - 3*k - 11. Let j(s) be the first derivative of p(s). What is the third derivative of j(q) wrt q?
30
Let s(k) = 16*k**2 + 1. Let t be s(1). Suppose -z + 4*j + 11 = 2*j, z = -5*j - t. Differentiate 0 + 6*o**2 + 14*o - 14*o - z with respect to o.
12*o
Let r(a) be the second derivative of 123*a**5/20 - 115*a**2/2 - 256*a. Differentiate r(j) with respect to j.
369*j**2
Let x be (-7)/((-42)/(-16))*-3. What is the second derivative of -3*y**2 + x*y**2 + 3*y - 6*y - y wrt y?
10
Let v = 74 + -72. Find the third derivative of -109*y**2 - 113*y**v + 214*y**2 + 35*y**4 wrt y.
840*y
Let w be -4 - (4 - 7)/((-3)/(-8)). What is the second derivative of 86*u**4 + 86*u**w - 139*u**4 + 37*u wrt u?
396*u**2
Let m(x) be the first derivative of -464*x**5/5 + x**3/3 + 123*x**2/2 + 475. What is the third derivative of m(g) wrt g?
-11136*g
Let l be (-39)/(-3) + (2 - -1) + 4. Let a(m) = m**2 - 3*m - 3. Let g be a(-2). Differentiate 6*d - 14*d + g + l*d wrt d.
12
Let z(b) = -2*b - 7. Let p be z(-5). What is the second derivative of 15*t**3 + 7*t - 7 + 10 - p wrt t?
90*t
Let m(j) be the third derivative of 19*j**5/6 - 11*j**4/24 + 128*j**2 + 2*j. What is the second derivative of m(g) wrt g?
380
Let f(x) = x**2 + 6*x - 4. Let l be f(-7). Suppose 10*o - l*o = 0. Find the third derivative of 11*a**2 - 6*a**6 - 2*a**6 + o*a**2 + 0*a**2 wrt a.
-960*a**3
Let v = 7 - 7. Let h = -20 + 22. Find the second derivative of -3*p**2 + v*p**2 + 5*p + 0*p**h wrt p.
-6
Let j(s) = 15*s**4 - 12*s**3 + 10*s**2 - 94. Let u(i) = -8*i**4 + 6*i**3 - 6*i**2 + 47. Let q(k) = -4*j(k) - 7*u(k). Find the third derivative of q(y) wrt y.
-96*y + 36
Let a = 41 - 39. Differentiate 25*c**a + 0*c - 14*c**2 + 0*c + 13 wrt c.
22*c
Suppose 2*b - 62 = 5*n, -n - n = -3*b + 104. Differentiate 3 + 271*d - 271*d + b*d**3 wrt d.
108*d**2
Let m(s) be the third derivative of -1/42*s**7 - 2*s + 0*s**3 + 0 - 5/6*s**4 - 1/30*s**6 + 0*s**5 - 13*s**2. Find the second derivative of m(h) wrt h.
-60*h**2 - 24*h
Let a(b) be the third derivative of -30*b**2 + 0*b + 0*b**4 + 41/60*b**5 + 0 + 31/6*b**3. What is the first derivative of a(x) wrt x?
82*x
Let w(p) be the second derivative of -p**6/8 + 19*p**4/24 + 19*p**2/2 - 3*p. Let d(y) be the first derivative of w(y). Find the second derivative of d(m) wrt m.
-90*m
Let v(s) = s - 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
se 4, what is -12220 - 10?
-12230
In base 8, what is 1334 + 2?
1336
In base 10, what is 6643 - 2?
6641
In base 3, what is 20 - -1220?
2010
In base 7, what is -2 + -420?
-422
In base 10, what is -14 - 706?
-720
In base 12, what is 5 - 98?
-93
In base 3, what is 10200212 + 12?
10201001
In base 6, what is -51 - 50?
-141
In base 3, what is 2121 - 12000?
-2102
In base 12, what is -7 + -6?
-11
In base 16, what is 3 + ac?
af
In base 3, what is -10201 + -11?
-10212
In base 14, what is 35 - -c?
43
In base 7, what is 253 + -10?
243
In base 9, what is -2 + 75?
73
In base 14, what is -a3 - 2?
-a5
In base 5, what is 243 + -1112?
-314
In base 6, what is 10 - 25?
-15
In base 4, what is -3 - -1112?
1103
In base 16, what is -ca7 - -5?
-ca2
In base 7, what is -3 + 4?
1
In base 5, what is 210403 - -10?
210413
In base 8, what is -5 - 634?
-641
In base 12, what is -16 + -16?
-30
In base 4, what is -22101 - -23?
-22012
In base 4, what is -102121 - -3?
-102112
In base 2, what is 101100101 - -10?
101100111
In base 8, what is -23 + 1?
-22
In base 12, what is 116 + -24?
b2
In base 15, what is -168 + 1?
-167
In base 9, what is 1 - 0?
1
In base 9, what is 43 + 3?
46
In base 6, what is 232 + 2?
234
In base 7, what is -60 + 242?
152
In base 14, what is a - 8ca?
-8c0
In base 10, what is 16 + -242?
-226
In base 13, what is -187 - -12?
-175
In base 3, what is 0 + -10100122?
-10100122
In base 10, what is 894 + -4?
890
In base 9, what is -5 + -427?
-433
In base 8, what is -2 + 1322?
1320
In base 6, what is -554 - 1?
-555
In base 8, what is 3 + 25?
30
In base 15, what is 18 + a?
23
In base 13, what is 11 + -142?
-131
In base 10, what is -45 + -94?
-139
In base 12, what is -16 + -5?
-1b
In base 13, what is -5 + c70?
c68
In base 9, what is 3314 - 4?
3310
In base 2, what is 11 - 11101?
-11010
In base 12, what is 30 - -83?
b3
In base 16, what is -94c - 5?
-951
In base 8, what is 2 - -13345?
13347
In base 11, what is 31 + 6?
37
In base 3, what is 2121 + 10020?
12211
In base 10, what is 5 + -52?
-47
In base 10, what is -13 + 29?
16
In base 10, what is -2 + -1814?
-1816
In base 3, what is 20122 - -2?
20201
In base 11, what is -50 - -4?
-47
In base 7, what is -355 - -12?
-343
In base 15, what is -3 + -3?
-6
In base 11, what is 118 - 34?
94
In base 13, what is -4 - -7a?
76
In base 16, what is 1b - 6?
15
In base 4, what is 20111 + 11?
20122
In base 6, what is 132020 + -4?
132012
In base 6, what is 2 - 522?
-520
In base 6, what is 5 + -30?
-21
In base 14, what is -9 + -822?
-82b
In base 6, what is -540 - 1?
-541
In base 13, what is 0 - -9?
9
In base 10, what is -3 - 388?
-391
In base 13, what is 1324 + -1?
1323
In base 10, what is -2 - -45?
43
In base 4, what is 110210 - 32?
110112
In base 12, what is 5 - ba?
-b5
In base 13, what is -38 + -1a?
-55
In base 15, what is -5ad - -3?
-5aa
In base 16, what is -3 + 2?
-1
In base 8, what is -12005 + 1?
-12004
In base 14, what is 4 - a57?
-a53
In base 8, what is -432 - -12?
-420
In base 10, what is 92 - -1?
93
In base 16, what is 1 + 4d?
4e
In base 5, what is -232140 - -4?
-232131
In base 2, what is -10111111 - 11?
-11000010
In base 9, what is 114 + 21?
135
In base 6, what is -4131 + -5?
-4140
In base 6, what is -4 + -12533?
-12541
In base 16, what is -384c - 3?
-384f
In base 14, what is -4 + 573?
56d
In base 8, what is 53170 - -1?
53171
In base 12, what is -544 - 14?
-558
In base 5, what is -3044 - 10?
-3104
In base 12, what is 3000 + 3?
3003
In base 14, what is 1d - -5?
24
In base 7, what is -123 + -22?
-145
In base 2, what is -1011100 - 10011101?
-11111001
In base 8, what is 467 - -5?
474
In base 8, what is 12 + -7?
3
In base 3, what is -102201 + -1?
-102202
In base 7, what is 141 - 13?
125
In base 16, what is -2e + 4?
-2a
In base 5, what is 3412 + -3?
3404
In base 9, what is -12567 + 2?
-12565
In base 16, what is -56e - 2?
-570
In base 11, what is 248 - -1?
249
In base 9, what is -74 - -28?
-45
In base 16, what is 1 - 1f6?
-1f5
In base 14, what is -3 + -7?
-a
In base 12, what is 125 - 1?
124
In base 4, what is -3002 - 22?
-3030
In base 15, what is -a - -256?
24b
In base 15, what is -11 - -194?
183
In base 13, what is -39 + 108?
9c
In base 16, what is -f + -2f?
-3e
In base 10, what is 3 + -21?
-18
In base 12, what is -2 + -37?
-39
In base 4, what is 23 + 1021?
1110
In base 6, what is 3 - 54332?
-54325
In base 15, what is 0 - 1c0?
-1c0
In base 10, what is 7 + 40?
47
In base 11, what is 5 + 16?
20
In base 3, what is -101100 - -1001?
-100022
In base 14, what is -5 + 9b?
96
In base 3, what is -10 - 100102?
-100112
In base 10, what is -48 + -3?
-51
In base 12, what is -4 - 3b?
-43
In base 7, what is 13232 + 11?
13243
In base 15, what is 2 + -25?
-23
In base 16, what is -a - 34?
-3e
In base 7, what is -1 + 112?
111
In base 12, what is 1 - 1592?
-1591
In base 16, what is -d1e + 3?
-d1b
In base 2, what is -1 - 100000111?
-100001000
In base 10, what is 198 - -4?
202
In base 13, what is -1926 + -5?
-192b
In base 3, what is -210 - 1221?
-2201
In base 11, what is -35 + 0?
-35
In base 12, what is 4 + -31?
-29
In base 10, what is -300 + -5?
-305
In base 6, what is -5 - -1411?
1402
In base 7, what is 5 - -3?
11
In base 11, what is 0 + 20?
20
In base 7, what is 24 - 105?
-51
In base 9, what is 1 + -3315?
-3314
In base 10, what is -1 + 26?
25
In base 2, what is 10101011111 + -101?
10101011010
In base 16, what is 4 - -e5?
e9
In base 9, what is -131 + 7?
-123
In base 9, what is -4 + -257?
-262
In base 2, what is 110 + -10100000?
-10011010
In base 16, what is 7a8 + -1?
7a7
In base 8, what is 32 + -102?
-50
In base 13, what is 93c - -5?
944
In base 6, what is 3 + -4013?
-4010
In base 7, what is -5 - 22?
-30
In base 10, what is -368 - 7?
-375
In base 3, what is 100 + 20020?
20120
In base 5, what is -1 - -4233?
4232
In base 2, what is -1 + -1011?
-1100
In base 14, what is -3 + 123?
120
In base 5, what is -10 - 4?
-14
In base 14, what is -4 - 7d?
-83
In base 11, what is -5 - 530?
-535
In base 6, what is 4 + -12511?
-12503
In base 13, what is -88 - c?
-97
In base 13, what is 1 - -23a?
23b
In base 12, what is -1a - -1a?
0
In base 7, what is 4 - 1142?
-1135
In base 2, what is 11111101 + -10011110?
1011111
In base 16, what is e - -2?
10
In base 14, what is -11 + 8?
-7
In base 9, what is 38755 - 0?
38755
In base 9, what is -758 - -3?
-755
In base 6, what is -10 + 30?
20
In base 2, what is 11001 + -1?
11000
In base 11, what is -62 + 4?
-59
In base 3, what is -2 + -10022?
-10101
In base 14, what is 3563 + 4?
3567
In base 2, what is 0 + -1101110110?
-1101110110
In base 8, what is -27 - -24?
-3
In base 3, what is 11 + -202222?
-202211
In base 9, what is 0 + -183?
-183
In base 8, what is 11676 + 4?
11702
In base 6, what is -15042 + -2?
-15044
In base 6, what is 0 - -245?
245
In base 9, what is -4 - 2623?
-2627
In base 8, what is -4551 + -11?
-4562
In base 16, what is -34 + 5?
-2f
In base 4, what is -12 - 1001?
-1013
In base 11, what is -6 + 436?
430
In base 4, what is 2 - -3310?
3312
In base 7, what is 3432 + 0?
3432
In base 2, what is -1010110110 + 10?
-1010110100
In base 11, what is -73 - -12?
-61
In base 9, what is 2 - -254?
256
In base 13, what is -129b - -5?
-1296
In base 10, what is -963 - -2?
-961
In base 8, what is 140 - 144?
-4
In base 14, what is -1 - 2abb?
-2abc
In base 6, what is 5114 - 0?
5114
In base 8, what is -7 - -227?
220
In base 14, what is 55 + 9?
60
In base 4, what is -3 - -1010?
1001
In base 4, what is 1 - 122111?
-122110
In base 10, what is 22 + -4?
18
In base 8, what is -24 - -2?
-22
In base 8, what is -124 - 76?
-222
In base 7, what is 53 + -56?
-3
In base 3, what is 20 + -10?
10
In base 7, what is -142 + -4?
-146
In base 12, what is 146 - -30?
176
In base 7, what is -4 + -46?
-53
In base 9, what is -3 + 745?
742
In base 15, what is 3 + 58?
5b
In base 11, what is 24 - -1a?
43
In base 12, what is 68 - -183?
22b
In base 9, what is -2 - 2328?
-2331
In base 11, what is 3 + 8a2?
8a5
In base 13, what is 3 - -30?
33
In base 15, what is -16 + 7?
-e
In base 3, what is -120 - 1202?
-2022
In base 8, what is 55 + -57?
-2
In base 6, what is 0 + 4005?
4005
In base 6, what is -3140 + -24?
-3204
In base 16, what is -3 + 1215?
1212
In base 15, what is 2 + -9c?
-9a
In base 8, what is 447 + -15?
432
In base 13, what is 5 + 7b?
83
In base 4, what is -3202 - -2?
-3200
In
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 2192 to the power of 1/3, to the nearest integer?
13
What is the cube root of 260 to the nearest integer?
6
What is 13683 to the power of 1/2, to the nearest integer?
117
What is the ninth root of 73773 to the nearest integer?
3
What is the tenth root of 9601 to the nearest integer?
3
What is 8322 to the power of 1/9, to the nearest integer?
3
What is the third root of 39204 to the nearest integer?
34
What is 1341 to the power of 1/5, to the nearest integer?
4
What is the square root of 5131 to the nearest integer?
72
What is the square root of 9807 to the nearest integer?
99
What is the seventh root of 39510 to the nearest integer?
5
What is 12772 to the power of 1/2, to the nearest integer?
113
What is the tenth root of 7104 to the nearest integer?
2
What is the square root of 3833 to the nearest integer?
62
What is the square root of 1470 to the nearest integer?
38
What is the ninth root of 8431 to the nearest integer?
3
What is 142 to the power of 1/2, to the nearest integer?
12
What is 28370 to the power of 1/4, to the nearest integer?
13
What is the square root of 1738 to the nearest integer?
42
What is 3874 to the power of 1/2, to the nearest integer?
62
What is 12929 to the power of 1/4, to the nearest integer?
11
What is the fourth root of 9370 to the nearest integer?
10
What is 205 to the power of 1/3, to the nearest integer?
6
What is 19793 to the power of 1/10, to the nearest integer?
3
What is 39035 to the power of 1/2, to the nearest integer?
198
What is the third root of 7995 to the nearest integer?
20
What is the fifth root of 38336 to the nearest integer?
8
What is 6175 to the power of 1/2, to the nearest integer?
79
What is the third root of 2364 to the nearest integer?
13
What is 47081 to the power of 1/2, to the nearest integer?
217
What is 8502 to the power of 1/2, to the nearest integer?
92
What is 14548 to the power of 1/5, to the nearest integer?
7
What is the cube root of 111531 to the nearest integer?
48
What is the cube root of 6199 to the nearest integer?
18
What is the third root of 3111 to the nearest integer?
15
What is the third root of 6924 to the nearest integer?
19
What is the third root of 10762 to the nearest integer?
22
What is 34939 to the power of 1/5, to the nearest integer?
8
What is the ninth root of 30811 to the nearest integer?
3
What is the cube root of 113 to the nearest integer?
5
What is 2833 to the power of 1/2, to the nearest integer?
53
What is the seventh root of 77628 to the nearest integer?
5
What is the cube root of 74245 to the nearest integer?
42
What is the square root of 23266 to the nearest integer?
153
What is 22039 to the power of 1/4, to the nearest integer?
12
What is the square root of 1112 to the nearest integer?
33
What is the square root of 18603 to the nearest integer?
136
What is 757 to the power of 1/2, to the nearest integer?
28
What is 2410 to the power of 1/2, to the nearest integer?
49
What is the seventh root of 2822 to the nearest integer?
3
What is the third root of 873 to the nearest integer?
10
What is the ninth root of 23024 to the nearest integer?
3
What is the third root of 777 to the nearest integer?
9
What is 27766 to the power of 1/3, to the nearest integer?
30
What is 1278 to the power of 1/3, to the nearest integer?
11
What is 1294 to the power of 1/2, to the nearest integer?
36
What is the square root of 1878 to the nearest integer?
43
What is 7846 to the power of 1/2, to the nearest integer?
89
What is the eighth root of 726 to the nearest integer?
2
What is 10944 to the power of 1/6, to the nearest integer?
5
What is the square root of 4285 to the nearest integer?
65
What is the ninth root of 375 to the nearest integer?
2
What is the square root of 9701 to the nearest integer?
98
What is the square root of 62 to the nearest integer?
8
What is 155002 to the power of 1/2, to the nearest integer?
394
What is the cube root of 10259 to the nearest integer?
22
What is the fourth root of 810 to the nearest integer?
5
What is 6332 to the power of 1/8, to the nearest integer?
3
What is the cube root of 4349 to the nearest integer?
16
What is the square root of 2121 to the nearest integer?
46
What is the square root of 8793 to the nearest integer?
94
What is 3367 to the power of 1/2, to the nearest integer?
58
What is 7723 to the power of 1/8, to the nearest integer?
3
What is the ninth root of 134893 to the nearest integer?
4
What is the square root of 18968 to the nearest integer?
138
What is 1310 to the power of 1/2, to the nearest integer?
36
What is 1229 to the power of 1/9, to the nearest integer?
2
What is the square root of 30119 to the nearest integer?
174
What is the third root of 7025 to the nearest integer?
19
What is 147208 to the power of 1/3, to the nearest integer?
53
What is the fourth root of 2012 to the nearest integer?
7
What is the square root of 4268 to the nearest integer?
65
What is 635 to the power of 1/2, to the nearest integer?
25
What is 6071 to the power of 1/3, to the nearest integer?
18
What is the tenth root of 60843 to the nearest integer?
3
What is the third root of 7652 to the nearest integer?
20
What is 505 to the power of 1/7, to the nearest integer?
2
What is 2835 to the power of 1/2, to the nearest integer?
53
What is 1630 to the power of 1/6, to the nearest integer?
3
What is the cube root of 5263 to the nearest integer?
17
What is the square root of 16867 to the nearest integer?
130
What is 2201 to the power of 1/2, to the nearest integer?
47
What is 1350 to the power of 1/10, to the nearest integer?
2
What is 2758 to the power of 1/9, to the nearest integer?
2
What is the cube root of 6740 to the nearest integer?
19
What is the third root of 283 to the nearest integer?
7
What is 622 to the power of 1/6, to the nearest integer?
3
What is the ninth root of 719 to the nearest integer?
2
What is the tenth root of 9038 to the nearest integer?
2
What is the third root of 21738 to the nearest integer?
28
What is 2006 to the power of 1/5, to the nearest integer?
5
What is 12423 to the power of 1/2, to the nearest integer?
111
What is 150297 to the power of 1/2, to the nearest integer?
388
What is 100886 to the power of 1/4, to the nearest integer?
18
What is the square root of 24333 to the nearest integer?
156
What is the eighth root of 5666 to the nearest integer?
3
What is 16658 to the power of 1/6, to the nearest integer?
5
What is 1752 to the power of 1/10, to the nearest integer?
2
What is the cube root of 25866 to the nearest integer?
30
What is 405 to the power of 1/5, to the nearest integer?
3
What is the eighth root of 473 to the nearest integer?
2
What is 5530 to the power of 1/3, to the nearest integer?
18
What is 12432 to the power of 1/5, to the nearest integer?
7
What is the tenth root of 514 to the nearest integer?
2
What is the fifth root of 17271 to the nearest integer?
7
What is 105356 to the power of 1/2, to the nearest integer?
325
What is 15818 to the power of 1/3, to the nearest integer?
25
What is the third root of 11848 to the nearest integer?
23
What is the cube root of 2076 to the nearest integer?
13
What is the third root of 7705 to the nearest integer?
20
What is the square root of 33636 to the nearest integer?
183
What is 1256 to the power of 1/2, to the nearest integer?
35
What is 12500 to the power of 1/4, to the nearest integer?
11
What is the cube root of 1411 to the nearest integer?
11
What is the tenth root of 95877 to the nearest integer?
3
What is the sixth root of 109624 to the nearest integer?
7
What is the cube root of 6914 to the nearest integer?
19
What is the square root of 17392 to the nearest integer?
132
What is 4026 to the power of 1/2, to the nearest integer?
63
What is the seventh root of 1681 to the nearest integer?
3
What is 30539 to the power of 1/3, to the nearest integer?
31
What is 20554 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 1685 to the nearest integer?
2
What is the third root of 865 to the nearest integer?
10
What is the square root of 15906 to the nearest integer?
126
What is 117 to the power of 1/4, to the nearest integer?
3
What is 15475 to the power of 1/3, to the nearest integer?
25
What is 1022 to the power of 1/2, to th
|
{
"pile_set_name": "DM Mathematics"
}
|
AM?
8:53 PM
How many minutes are there between 6:20 AM and 10:03 AM?
223
How many minutes are there between 2:31 AM and 2:51 AM?
20
What is 67 minutes after 11:15 PM?
12:22 AM
How many minutes are there between 6:18 AM and 9:40 AM?
202
How many minutes are there between 1:41 AM and 8:09 AM?
388
What is 313 minutes before 11:21 PM?
6:08 PM
How many minutes are there between 9:14 AM and 11:36 AM?
142
How many minutes are there between 9:28 AM and 5:50 PM?
502
What is 702 minutes after 6:31 PM?
6:13 AM
What is 444 minutes after 12:31 AM?
7:55 AM
How many minutes are there between 2:58 AM and 10:37 AM?
459
How many minutes are there between 9:14 AM and 10:17 AM?
63
What is 517 minutes before 3:31 AM?
6:54 PM
What is 320 minutes after 4:42 AM?
10:02 AM
What is 19 minutes after 2:41 AM?
3:00 AM
What is 496 minutes after 2:54 PM?
11:10 PM
How many minutes are there between 11:25 PM and 12:55 AM?
90
What is 121 minutes before 12:39 AM?
10:38 PM
How many minutes are there between 10:06 AM and 7:38 PM?
572
How many minutes are there between 11:37 AM and 2:22 PM?
165
How many minutes are there between 7:04 PM and 8:59 PM?
115
What is 49 minutes before 1:53 PM?
1:04 PM
How many minutes are there between 12:54 AM and 12:58 AM?
4
How many minutes are there between 12:37 PM and 12:56 PM?
19
How many minutes are there between 3:35 AM and 5:50 AM?
135
How many minutes are there between 6:37 PM and 2:13 AM?
456
What is 528 minutes before 8:49 AM?
12:01 AM
What is 646 minutes after 2:26 AM?
1:12 PM
How many minutes are there between 10:49 PM and 3:42 AM?
293
How many minutes are there between 5:17 AM and 9:17 AM?
240
How many minutes are there between 1:40 PM and 12:41 AM?
661
What is 373 minutes before 11:30 AM?
5:17 AM
What is 419 minutes after 11:42 PM?
6:41 AM
What is 56 minutes after 6:15 PM?
7:11 PM
How many minutes are there between 4:26 PM and 8:09 PM?
223
What is 184 minutes after 6:37 PM?
9:41 PM
What is 293 minutes before 5:31 AM?
12:38 AM
What is 547 minutes before 4:10 AM?
7:03 PM
How many minutes are there between 12:20 PM and 4:59 PM?
279
What is 374 minutes before 2:45 PM?
8:31 AM
What is 35 minutes before 5:00 AM?
4:25 AM
How many minutes are there between 3:24 AM and 10:33 AM?
429
How many minutes are there between 11:59 PM and 12:19 AM?
20
How many minutes are there between 1:12 AM and 6:05 AM?
293
What is 532 minutes before 2:16 AM?
5:24 PM
How many minutes are there between 7:49 AM and 2:30 PM?
401
How many minutes are there between 12:57 AM and 2:41 AM?
104
How many minutes are there between 4:14 AM and 11:04 AM?
410
What is 123 minutes before 12:41 PM?
10:38 AM
How many minutes are there between 12:46 PM and 4:42 PM?
236
What is 165 minutes before 2:06 PM?
11:21 AM
What is 581 minutes after 7:05 PM?
4:46 AM
What is 467 minutes before 6:54 PM?
11:07 AM
How many minutes are there between 7:13 AM and 10:44 AM?
211
How many minutes are there between 6:37 PM and 11:50 PM?
313
How many minutes are there between 4:13 AM and 6:49 AM?
156
What is 416 minutes after 2:53 PM?
9:49 PM
How many minutes are there between 6:20 PM and 10:33 PM?
253
What is 82 minutes after 2:11 PM?
3:33 PM
What is 675 minutes before 8:42 AM?
9:27 PM
What is 266 minutes before 11:52 AM?
7:26 AM
How many minutes are there between 3:22 PM and 1:09 AM?
587
What is 429 minutes before 2:19 AM?
7:10 PM
What is 402 minutes before 7:26 PM?
12:44 PM
What is 691 minutes before 12:30 AM?
12:59 PM
How many minutes are there between 4:27 AM and 2:03 PM?
576
How many minutes are there between 6:17 AM and 2:11 PM?
474
What is 472 minutes after 5:22 AM?
1:14 PM
What is 669 minutes before 7:10 PM?
8:01 AM
How many minutes are there between 4:33 PM and 4:52 PM?
19
How many minutes are there between 6:03 PM and 3:15 AM?
552
What is 457 minutes after 8:26 AM?
4:03 PM
How many minutes are there between 5:29 PM and 3:16 AM?
587
How many minutes are there between 1:20 AM and 1:04 PM?
704
How many minutes are there between 2:39 PM and 12:50 AM?
611
How many minutes are there between 9:34 AM and 1:54 PM?
260
What is 2 minutes before 7:40 PM?
7:38 PM
What is 657 minutes after 9:44 PM?
8:41 AM
How many minutes are there between 6:18 AM and 4:05 PM?
587
What is 714 minutes after 10:41 AM?
10:35 PM
What is 676 minutes after 4:23 AM?
3:39 PM
What is 692 minutes after 6:44 PM?
6:16 AM
How many minutes are there between 6:12 PM and 9:26 PM?
194
What is 304 minutes after 9:43 PM?
2:47 AM
How many minutes are there between 9:30 PM and 1:36 AM?
246
What is 96 minutes after 9:22 PM?
10:58 PM
What is 466 minutes after 7:56 AM?
3:42 PM
What is 292 minutes before 3:25 PM?
10:33 AM
How many minutes are there between 11:30 PM and 6:29 AM?
419
How many minutes are there between 2:17 AM and 12:22 PM?
605
How many minutes are there between 9:53 PM and 11:48 PM?
115
How many minutes are there between 11:36 AM and 7:02 PM?
446
How many minutes are there between 12:29 AM and 5:47 AM?
318
What is 631 minutes before 6:10 PM?
7:39 AM
How many minutes are there between 11:22 AM and 5:07 PM?
345
What is 71 minutes before 9:51 AM?
8:40 AM
What is 101 minutes before 7:39 PM?
5:58 PM
How many minutes are there between 6:06 PM and 10:02 PM?
236
What is 274 minutes after 2:35 AM?
7:09 AM
What is 250 minutes after 3:11 AM?
7:21 AM
What is 385 minutes before 6:51 AM?
12:26 AM
How many minutes are there between 1:17 AM and 7:48 AM?
391
What is 36 minutes before 1:34 PM?
12:58 PM
What is 39 minutes after 2:06 AM?
2:45 AM
What is 292 minutes before 6:01 PM?
1:09 PM
How many minutes are there between 5:31 PM and 10:31 PM?
300
How many minutes are there between 1:36 PM and 5:00 PM?
204
What is 583 minutes before 2:22 PM?
4:39 AM
How many minutes are there between 4:15 PM and 11:15 PM?
420
What is 488 minutes after 2:43 AM?
10:51 AM
What is 526 minutes after 7:39 PM?
4:25 AM
What is 408 minutes before 8:43 AM?
1:55 AM
How many minutes are there between 6:08 AM and 4:42 PM?
634
How many minutes are there between 8:30 AM and 12:55 PM?
265
How many minutes are there between 11:31 PM and 7:25 AM?
474
What is 581 minutes after 6:00 PM?
3:41 AM
How many minutes are there between 8:27 AM and 6:26 PM?
599
How many minutes are there between 8:40 AM and 12:44 PM?
244
What is 127 minutes before 8:21 AM?
6:14 AM
How many minutes are there between 5:54 PM and 12:08 AM?
374
What is 144 minutes after 2:16 PM?
4:40 PM
What is 4 minutes after 11:57 PM?
12:01 AM
How many minutes are there between 1:24 AM and 3:39 AM?
135
How many minutes are there between 12:07 PM and 5:17 PM?
310
What is 708 minutes after 7:06 AM?
6:54 PM
How many minutes are there between 11:46 PM and 10:27 AM?
641
What is 367 minutes after 12:54 PM?
7:01 PM
How many minutes are there between 1:43 AM and 6:22 AM?
279
What is 680 minutes after 10:21 PM?
9:41 AM
What is 689 minutes before 10:35 AM?
11:06 PM
What is 428 minutes before 9:03 PM?
1:55 PM
What is 582 minutes after 8:29 PM?
6:11 AM
What is 676 minutes before 8:52 PM?
9:36 AM
What is 661 minutes after 2:48 AM?
1:49 PM
How many minutes are there between 3:37 PM and 6:51 PM?
194
What is 707 minutes after 6:10 AM?
5:57 PM
What is 52 minutes before 7:56 AM?
7:04 AM
How many minutes are there between 3:25 AM and 9:32 AM?
367
What is 391 minutes after 8:10 PM?
2:41 AM
What is 323 minutes after 7:14 AM?
12:37 PM
How many minutes are there between 11:37 AM and 4:07 PM?
270
What is 532 minutes after 2:51 AM?
11:43 AM
What is 457 minutes after 12:01 PM?
7:38 PM
What is 429 minutes before 7:47 PM?
12:38 PM
How many minutes are there between 10:52 PM and 5:37 AM?
405
How many minutes are there between 12:53 PM and 4:08 PM?
195
How many minutes are there between 8:49 PM and 5:41 AM?
532
What is 145 minutes after 5:17 AM?
7:42 AM
What is 687 minutes before 3:47 PM?
4:20 AM
What is 323 minutes after 7:54 AM?
1:17 PM
What is 429 minutes after 1:44 AM?
8:53 AM
What is 564 minutes before 11:30 PM?
2:06 PM
How many minutes are there between 2:03 PM and 3:47 PM?
104
What is 195 minutes after 2:09 AM?
5:24 AM
How many minutes are there between 5:42 AM and 12:46 PM?
424
What is 667 minutes before 9:28 PM?
10:21 AM
How many minutes are there between 5:27 PM and 11:58 PM?
391
How many minutes are there between 6:33 PM and 9:34 PM?
181
How many mi
|
{
"pile_set_name": "DM Mathematics"
}
|
1034. Is d a prime number?
False
Suppose 5*o - 5 = 15. Suppose -b - 242 = -g - o*b, -4*b = 20. Is g prime?
True
Suppose -28*w + 10844 = -136464. Is w a prime number?
True
Suppose 4*c - 376 = -2*k, 4*c + 711 = 4*k - 5. Suppose 2*g - k = 144. Is g a composite number?
False
Let h(b) = b**3 + 4*b**2 + b + 4. Let y be h(-4). Let g(m) = 19 + y*m + 2*m - m + 3*m. Is g(9) prime?
False
Let c(b) = 12*b**3 - 106*b**2 + 3*b - 28. Is c(19) a prime number?
True
Suppose 15 = a + 12. Suppose -275 = 5*k + 5*y, -4*y + 0*y = a*k + 167. Let j = k - -111. Is j composite?
True
Suppose -8*a + 1213 = -5627. Suppose 0 = 5*y - 2*m - 744 - a, -m = y - 317. Let t = y - -598. Is t composite?
True
Is 1341/1 + 17 + -11 composite?
True
Suppose -713*b - 49287 = -716*b. Is b prime?
False
Let i = 0 - -2. Suppose 46 = i*p + 3*x, 4*p + 0*x = 2*x + 92. Let t = -4 + p. Is t a prime number?
True
Is (9 - 7)*2037/6 a prime number?
False
Let f(k) = 10 + k**2 - 2 + 757*k**3 + 3*k - 758*k**3. Is f(-7) a composite number?
False
Let i = 17205 - -9288. Is i a composite number?
True
Is 748/22*892/8 a prime number?
False
Is 17 - (-1245435)/21 - (-3)/(-7) prime?
False
Suppose 11*m + 5337 - 19384 = 0. Is m composite?
False
Let x(q) = 3*q + 14. Let p be x(-5). Is (p/(-3))/(-1) - 4864/(-3) a prime number?
True
Suppose -5364 = 5*y - 17*y. Is y composite?
True
Suppose 6*n - 5823 - 4563 = 0. Is n a prime number?
False
Let b be (-2)/(-18) + (-368)/72. Is 2016/60 - 2/b composite?
True
Let u = 42362 + -25639. Is u composite?
True
Let n be 2/(-8) - (-90)/40. Suppose -n*v + 2*l - 3*l = -823, v - 5*l = 384. Is v a composite number?
False
Let w(m) be the third derivative of m**4/24 - 2*m**3/3 - 4*m**2. Let y be w(5). Is (y - -21)/(2/19) prime?
False
Suppose -5*i = -2*d - 19, 7 = 3*i + 2*d + 2. Suppose -5*b = -b + 3*m - 8, 2*b - 3*m = 4. Suppose 91 = v + b*u, 5*v - i*u + 221 = 650. Is v prime?
False
Let z(p) = -p**3 - 7*p**2 - 3*p - 2. Let a be ((-39)/9)/((-6)/18). Suppose -5*u + 3*o = 20, 4*u = -3*o + 6*o - a. Is z(u) a prime number?
True
Suppose 3*n + 159 = 5*w - 118, 346 = -4*n - 5*w. Let q = n + 406. Is q prime?
True
Let g = -30 + 35. Suppose 2*q - 160 = 3*y, 58 = q + g*y - y. Is q prime?
False
Let b be (12/8 - 2)*-530. Suppose -3*x + b = -77. Suppose 0 = -r - r + x. Is r prime?
False
Let b(v) = -v**3 - v**2. Let n be ((-1 - -3) + -2)/1. Let x be b(n). Suppose -4*k + 0*d + 3*d = -154, -5*d - 10 = x. Is k a composite number?
False
Let r be (3/9)/((-71)/24 + 3). Let t(b) = -7*b + 3. Let i(p) = -28*p + 12. Let c(u) = 2*i(u) - 9*t(u). Is c(r) composite?
False
Is (147588/30 - 1)*5 prime?
True
Let t = 3491 - -446. Is t a composite number?
True
Is (1/3)/(5/82785) a composite number?
False
Let p = 9 - 3. Suppose -d + 4*d - p = 0. Suppose -d*f + 74 + 0 = 0. Is f composite?
False
Let m(b) = 3*b**3 - 40*b**2 + 143*b + 27. Is m(28) a prime number?
False
Suppose 2598 = 6*q - 102. Is (-5)/((-15)/(-12)) + q a composite number?
True
Let r(t) = 82*t + 8. Let y be (-1)/(20/(-12)*(-2)/(-10)). Is r(y) prime?
False
Let m(k) = -2*k**3 - 5*k**2 + 5*k + 1. Let g be m(-5). Suppose 0 = 2*x - 103 - g. Let n = 185 - x. Is n a composite number?
False
Suppose 6*h + 8 - 32 = 0. Let u(s) = -s**3 + 6*s**2 - 4*s - 2. Let x be u(5). Is (x - (-166)/h)*6 a composite number?
True
Let o(p) = 2*p - 4. Let j be o(10). Let f be (j/6)/((-3)/(-18)). Suppose -w + f = 3. Is w prime?
True
Let k(c) = 3*c**2 - c - 1. Let v be k(-1). Suppose -6*s + v*s = -o - 2084, 0 = -4*s - 5*o + 2785. Is s a composite number?
True
Suppose -3*k = -11*k. Let l(o) = -2*o + 59. Is l(k) composite?
False
Let q(x) = x**3 + x**2 - 60. Let a be q(0). Let w = a + 19. Let t = w - -376. Is t composite?
True
Suppose 0 = 11*f - 20*f + 12249. Is f prime?
True
Suppose -a - 2 = m, -5*a + 10 = -4*m - m. Let x be (-1266 - a)/(6/(-4)). Let l = -463 + x. Is l a prime number?
False
Let d(q) = -q**2 + q. Let z be d(2). Is 1694 - (-6)/(-3) - (z + 1) composite?
False
Suppose 0 = -114*s + 125*s - 185273. Is s composite?
False
Suppose 19*w - 141554 - 273387 = 0. Is w a composite number?
False
Suppose 24535 = 17*r + 18*r. Is r a composite number?
False
Let f = -4202 + 8403. Is f a prime number?
True
Suppose 9*f = -2*g + 10*f + 5929, -4*f - 14821 = -5*g. Is g a composite number?
True
Suppose 1582 = -185*v + 187*v. Is v composite?
True
Suppose -16*f + 17*f - 1 = 0. Is (38 - -1865)/(-1 + f*2) a composite number?
True
Let g = 655 + -312. Suppose 2*p = -2*p + 2376. Let z = p - g. Is z a prime number?
True
Let h = -73 - -57. Let b(y) = -60*y - 39. Is b(h) prime?
False
Suppose 5*l - 72 + 17 = 5*h, -2*h = 2*l + 2. Let x(n) = n + 3. Let k be x(h). Is -2 - (-60 + k)/3 a composite number?
False
Let q(u) = 11*u - 2. Let f(v) = v**3 - 6*v**2 - v + 7. Let c be f(6). Let l be q(c). Is (l/(-27))/(2/(-534)) prime?
True
Suppose 0 = 3*o - 3*h - 4707, -2*h + 5*h = o - 1559. Suppose -3*y - 173 = -o. Is y a composite number?
False
Is 740865/19 + (-1 - (-252)/228) a composite number?
False
Let n be 6/27 + (-512)/36. Let o(y) = -y**3 - 14*y**2 - 2*y - 21. Let k be o(n). Is 51*(-3)/((-9)/k) a prime number?
False
Let k(j) = j**3 - j**2 - j + 1. Let g(q) = -q**3 + 6*q**2 + 6*q + 7. Let l be g(7). Let i be k(l). Is i + (-12)/(-2)*9 a composite number?
True
Suppose w - 2*w - 770 = 0. Let x = 3814 + w. Suppose 2*y + 2*y - x = 0. Is y a composite number?
False
Let u(v) = -9*v**3 + v**2. Let j be u(-1). Let m be (-2)/j - 48438/(-15). Suppose 0*w - 2*r = 5*w - m, 3*w - 2*r - 1947 = 0. Is w prime?
True
Suppose -9858 - 7021 = -u. Is u a prime number?
True
Let v(k) = k + 27. Let y be v(-18). Let o(c) = 5*c**2 + 27*c - 13. Is o(y) composite?
True
Suppose 0 = -5*y + 5*d, -5*d - 1 = 4*y - 10. Is ((-4197)/(-9))/(y/3) prime?
True
Let f(o) = -10*o**3 - 4*o**2 - 3*o - 4. Let p be f(-3). Suppose 2*q - p = 207. Suppose -q = 10*r - 11*r. Is r prime?
True
Let k(q) = -q**3 + 8*q**2 + 12*q - 11. Let o be k(8). Suppose 0 = -5*a + 4*p + 2, -a - 5*p = -3*a - 6. Suppose a*j = j + o. Is j composite?
True
Suppose 596154 = 73*d - 47*d. Is d composite?
True
Let c(x) = 97 + 83*x - 44*x - 37*x. Is c(0) a composite number?
False
Let y = 21993 - 8684. Is y prime?
True
Let c(s) = 27*s - 1. Let r be c(-1). Let g = -15 - r. Is g prime?
True
Is (1 + -2)/(465201/116301 - 4) composite?
False
Let o = 109 - 28. Let u be (-141*2/3)/2. Let q = o + u. Is q prime?
False
Let w(g) be the second derivative of -g**5/20 - 2*g**4/3 - g. Let y be w(-8). Suppose 3*d + 0*d - 471 = y. Is d prime?
True
Suppose -3*s = 23*s - 131326. Is s a prime number?
True
Suppose 11*m + 7*m = 53766. Is m composite?
True
Let v(z) = -z**3 + 5*z**2 + 3*z + 2. Let t be v(5). Let o = t + -15. Suppose 0 = -o*g + g + 1141. Is g a composite number?
True
Let s = 37985 - -2324. Is s prime?
False
Suppose -79329 - 35415 = -56*r. Is r prime?
False
Let o(d) = d**3 + 18*d**2 - 2*d + 2. Let t be o(-18). Suppose 2*s - t = 558. Is s prime?
False
Let m(l) = -3*l**3 + l + 2. Let f be m(2). Let k = f - 19. Is k*(10/6 + -2) a composite number?
False
Let a be 11/(-77) + (-170)/(-14). Let c = -19 + a. Is (-694)/(-8) + c/(-28) a composite number?
True
Is (5 - (-144)/(-30)) + (-246456)/(-20) a prime number?
True
Let w(d) = -d**3 - 13*d**2 + 13*d - 7. Let b be w(-14). Let p = b + 19. Is p prime?
False
Let z = -233 + 526. Is z a composite number?
False
Suppose 3*d + 2*d + 29700 = 0. Let j be d/(-70) + (-2)/(-14). Suppose j = 3*z - 518. Is z prime?
False
Let d(w) = -918*w + 67. Is d(-35) prime?
False
Let i(h) = 3 - h**3 + 1 + 2*h**2 + 2*h - 1. Is i(-4) a prime number?
False
Suppose -m + 665 - 108 = 0. Suppose 26 = -2*y + 694. Let n = m - y. Is n prime?
True
Suppose 7 = -r - 14. Is (r/(-7))/(3/77) prime?
False
Suppose 5*h = 2*z + 3*h - 9998, -5*h = -4*z + 19996. Is z a composite number?
False
Let m = 9970 - 5819. Is m a prime number?
False
Let m(i) = -i**2 + 4*i + 7. Let y be m(6). Is y/(25/20) - -1287 a composite number?
False
Let u be ((-55)/22)/(2/(-1532)). Suppose 2*f = -4*i + 1278, -3*f + 6*f - u = -5*i. Let r = f - 100. Is r prime?
False
Let d = -110771 - -173950. Is d prime?
True
Let z = 6 + -3. Suppose 0*f - 2*f - z*v - 6 = 0, -v - 2 = -2*f. Suppose -r - k + 5*k + 37 = 0, 2*r + 5*k - 22 = f. Is r a prime number?
False
Suppose 4*i + 5092 = 4*d, 4*d - 5100 = 2*i - 0*i. Is d a prime number?
True
Suppose 2*g +
|
{
"pile_set_name": "DM Mathematics"
}
|
ose 0 = -85*q - 830 + 35170. What are the prime factors of q?
2, 101
Suppose -6*f + 2156 = x - 3095, 0 = -5*x + 5. List the prime factors of f.
5, 7
List the prime factors of 4/(-7) + 26252/28.
937
Suppose -f - 4*f = -100. Suppose -f = -d - 3*d. Suppose 0 = -2*i + 2, -160 = -2*y - 3*y + d*i. List the prime factors of y.
3, 11
Let v(p) = -13*p**2 + 9*p + 4. Let u(o) = -38*o**2 + 26*o + 12. Let x(f) = -6*u(f) + 17*v(f). List the prime factors of x(-3).
2, 17
Let k(o) = -2*o - 23. Let a be k(-13). Let p be 1/(a/30) - 0. Suppose 2*x = 5*z + 107, -48 = -x + 4*z + p. What are the prime factors of x?
2, 23
Let f = 2042 + -1303. List the prime factors of f.
739
Let l(c) = -c**2 - 5*c - 4. Let o be l(-3). Suppose 4*b - 2*b - 6 = 0. Suppose -b*t = 2*z - 64, -2*t - 4*z = o*t - 92. List the prime factors of t.
2, 3
Let k = 60 + 246. List the prime factors of k.
2, 3, 17
Let v be (-1 - 2 - -4)*(-2 + 824). Suppose v + 96 = 6*a. What are the prime factors of a?
3, 17
Suppose 14*u - 2512 = 2668. List the prime factors of u.
2, 5, 37
Let s be 34/6 - 2/3. Let t(g) be the second derivative of 8*g**3/3 - 17*g**2/2 + 130*g. What are the prime factors of t(s)?
3, 7
Let r be 30/(-40) - 58/8. List the prime factors of ((-4)/r*107)/((-3)/(-6)).
107
Let k(i) = i**2 + 2*i + 2. Let v be k(-2). Suppose -v*y - 1688 = 3*y - 3*b, 0 = 3*y - b + 1016. List the prime factors of 7/(-2)*y/35.
2, 17
Let d = 8 + -15. Let x = 81 - 83. Let s = x - d. What are the prime factors of s?
5
Let c(g) = g**3 - 5*g**2 - 6*g - 8. Let d be c(6). Let n = -5 - d. What are the prime factors of (11 - 2) + -3 + n?
3
Let r(a) = -4*a**3 - 4*a**2 + 18*a + 51. What are the prime factors of r(-10)?
3, 13, 89
Let q(k) = 7*k**2 + 19*k + 7. List the prime factors of q(-11).
3, 5, 43
Suppose 5*l + 0*l = 3*t + 19, 2*l = -2*t + 14. What are the prime factors of (200/(-12))/(152/78 - t)?
5, 13
Let h = 17 + -17. Suppose -37 = -3*u + 4*c - h*c, 5*c = 10. List the prime factors of -219*(-5)/u*1.
73
Let n = 2476 + -1408. List the prime factors of n.
2, 3, 89
Suppose 4790 = 16*h - 6426. List the prime factors of h.
701
Let s = -146 + 272. List the prime factors of s.
2, 3, 7
Suppose -39 = 2*g - 9. Let h = 37 + g. Let a = h - 16. What are the prime factors of a?
2, 3
Let p = 608 - 582. List the prime factors of p.
2, 13
Suppose -4*k - 13 = -2*w - 5*k, 3*w - 4*k = -8. Suppose w*o - 23 = 85. Let v = 66 - o. List the prime factors of v.
3, 13
Let k(r) be the third derivative of 0 - 1/10*r**5 + 1/120*r**6 + 0*r - 1/12*r**4 - 7*r**2 - 2/3*r**3. What are the prime factors of k(7)?
31
Let w(x) be the third derivative of x**5/60 - 2*x**4/3 - x**3/2 + x**2. Suppose -m = -3*z - 3*m + 44, -z + 2*m + 28 = 0. List the prime factors of w(z).
3, 11
Let d = -10 - -15. Let f be -2*3/(-6)*41. Suppose d*o - f = 4*o. What are the prime factors of o?
41
Let o(n) = 4*n + 2. Suppose 4*r = r + x - 3, 12 = 4*x. List the prime factors of o(r).
2
Let g = 89 + -87. Suppose 2*q + 2*q = -20, 3*u = g*q + 130. What are the prime factors of u?
2, 5
Suppose -5*z + 9*z = 128. Let h be (z/(-5))/((-5)/25). Suppose 24 + h = 4*a. What are the prime factors of a?
2, 7
What are the prime factors of -4 - (3 + 1 + 3 + -449)?
2, 3, 73
Let t(s) = -3*s - 5. Let q be t(-3). Suppose 0 = -9*i + q*i + 175. What are the prime factors of i?
5, 7
Let l(i) = 3*i**2 - 71*i - 50. List the prime factors of l(26).
2, 3, 11
Let k(i) = -i**2 + 11*i + 15. Let c be k(12). Let m(q) = -q + 4. Let u be m(c). Let a = 3 - u. What are the prime factors of a?
2
Let k(w) = -w**3 + 4*w**2 - w + 20. Let r be k(0). Let s = 6 + -3. Suppose s*x = -r + 236. List the prime factors of x.
2, 3
Let a = -3 - -20. Suppose 2*j + 27 - 105 = -5*h, 4*h + 140 = 3*j. Let l = j - a. List the prime factors of l.
3
Let j(t) = -4*t**3 + 13*t**2 - 16*t - 11. List the prime factors of j(-9).
2, 7, 293
What are the prime factors of (-48)/9 - -6 - (-490)/3?
2, 41
Let c(a) = -17*a + 124. What are the prime factors of c(-14)?
2, 181
Suppose v - 145 = -2*l, 104 - 317 = -3*l + 3*v. Let m = -134 + 89. Let r = l + m. What are the prime factors of r?
3
Suppose 0 = 5*f + 10, 4*f - 43 = -3*n + 171. Let t = 106 - n. List the prime factors of t.
2
Suppose 5*v - 12199 = -25*b + 21*b, -b = 4*v - 9768. What are the prime factors of v?
7, 349
Suppose 0 = -67*q - 22144 + 99529. What are the prime factors of q?
3, 5, 7, 11
Let g(z) = 21*z**2 + 5*z + 1. What are the prime factors of g(-6)?
727
Suppose -939 + 199 = -4*p - 4*n, -p - 3*n = -181. List the prime factors of p.
11, 17
Let j = -100 - -106. Let h(v) = -v**3 + 4*v**2 + 6*v - 3. Let t be h(5). Suppose -28 = -t*q + j. What are the prime factors of q?
17
Let d(y) = -y**3 + 17*y**2 - 22*y - 12. Let h be d(12). Let u = h + -281. What are the prime factors of u?
163
Let l(a) = -a**2 - 8*a - 8. Let z be l(-5). Let f(d) = 3*d**2 - 6*d + 2. Let j be f(z). Suppose -5*y + j = -83. What are the prime factors of y?
2, 19
What are the prime factors of (121/2 + 1)/((-37)/(-592))?
2, 3, 41
Suppose 0 = 3*q - 255 - 249. Suppose 5*n - q - 302 = 0. List the prime factors of n.
2, 47
Let n(l) be the third derivative of -l**5/60 + 3*l**4/8 + l**3/3 + 3*l**2. List the prime factors of n(4).
2, 11
Suppose -4*r + 26 = -2*r + 5*x, 20 = 2*r + 2*x. Suppose -r*f + 6*f = -4. What are the prime factors of 130/(-20)*f*-1?
13
Let q = -10 - -7. Let h be 4/(0 - 1 - q). Suppose 3*s - h*x - 15 - 1 = 0, 0 = -x - 2. What are the prime factors of s?
2
Suppose 2*r + 2*l = -2*r + 38, 3*r - 26 = -l. Suppose r*s - 4*s = 27. What are the prime factors of s?
3
Let j = -12 - -16. Suppose -340 = -j*r + z, 6*r = r + 3*z + 425. List the prime factors of r.
5, 17
Let s be -1*2*1*4/(-4). List the prime factors of (620/16)/(s/16).
2, 5, 31
Suppose -2*d + 2645 = 5*y, 4*y - 3 = -7. List the prime factors of d.
5, 53
Suppose t + 4*i = 186, -7*i + 11*i + 1002 = 5*t. What are the prime factors of t?
2, 3, 11
Let q = -19 + -18. Suppose -20*n = -28*n + 512. Let g = q + n. What are the prime factors of g?
3
Let n be ((-19)/(-3))/(3/54). Let o = -41 + n. List the prime factors of o.
73
List the prime factors of (3 - -146)/(-4 + 5).
149
Let d(a) = -a**3 - 8*a**2 - a - 11. Let q be d(-8). What are the prime factors of q/(-9) - (-1614)/18?
2, 3, 5
Let t = 30 + -18. Let s(a) = -5*a - 6. Let j be s(t). Let p = -33 - j. List the prime factors of p.
3, 11
Suppose k - 2951 = -3*j, j = -78*k + 83*k + 973. List the prime factors of j.
983
Let q(w) = w**2 - 8*w - 10. Let k be q(9). What are the prime factors of ((-54)/4 - k)*-2?
5
Let b be (-66)/(-18)*(-6)/2. Let a = -16 - b. Let c(u) = 2*u**2 - 3*u - 6. List the prime factors of c(a).
59
Let v(k) = 4*k**2 - 10*k - 41. What are the prime factors of v(18)?
5, 43
Let r be -10 + 15 - (2 - 1). Suppose -r*j + 4*o = -2*j - 466, 3*j = -5*o + 754. List the prime factors of j.
3
Let i = -30 - 9. Let c = -644 - -654. List the prime factors of 1 - i - (-10)/c.
41
Let s = -175 - -185. What are the prime factors of s?
2, 5
Let g = -78 - -78. Suppose -3*m + 4*z = -327 - 92, g = -z - 2. What are the prime factors of m?
137
Suppose -3*o + 9 = -2*o + 2*a, a + 20 = 3*o. Let r = o - -9. Let u = r - 11. List the prime factors of u.
5
Let n(q) = -17*q**3 + 4. List the prime factors of n(-4).
2, 3, 7, 13
Let h be (-92)/(-15) - 2/15. Let k(j) = 18*j + 16. List the prime factors of k(h).
2, 31
Let d be (-2)/(-3) - 5278/42. Let q = 275 + d. Suppose 0 = 5*u + n - q, 0*u + 2*n = 2*u - 48. What are the prime factors of u?
29
Let s(z) = -3*z**3 - z**2 + 6*z + 4. List the prime factors of s(-5).
2, 3
List the prime factors of ((-341)/(-33) + -11)/((-2)/2469).
823
Suppose -2*k - 4*f + 2*f - 6 = 0, -6 = -5*k + 2*f. Suppose -j + 0*j + 23 = k. Let l = -14 + j. List the prime factors of l.
3
List the prime factors of (-4)/(-1)*(-4688)/(-32).
2, 293
Let n be -4 - -3 - (-15 + -4). Let x(p) = -p**2 + 7*p + 4. Let r be x(6). Suppose 0 = 4*j + r - n. What are the prime factors of j?
2
Let f = 50 - 36. Let l(n) = n**3 - 14*n**2 + n - 17. Let o be l(f). What are the prime factors of 3 + o/((-6)/44)?
5
Let i = -30 + 34. What are the prime factors of ((-328)/i)/(1/((-1)/2))?
41
Let z(j) = j**2 - 11*j + 14. Let p be z(10). List the prime factors of (-8734)/(-121) + p/(-22).
2, 3
Let v be -2 + (-2 - (-63 - 1)). Suppose -a = -5*s + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
1161*u**3 + 3550?
3483*u**2
Find the third derivative of -909*a**3*x**2 + a**2*x**2 - 77*x**2 + x wrt a.
-5454*x**2
Find the third derivative of 3*m*u*v**3*z**2 - m*u*v - 4*m*v**3*z**2 - 2*m*v**2*z - m*v**2 - 10*u*z**2 + 22*v**3 - z**2 wrt v.
18*m*u*z**2 - 24*m*z**2 + 132
What is the second derivative of 102*h**2*r**2 + 8*h**2*r + 2*h*r**5 - h*r**3 + 7 wrt r?
204*h**2 + 40*h*r**3 - 6*h*r
Find the second derivative of -1932*q**4 - 2101*q wrt q.
-23184*q**2
What is the derivative of 198*q*z + 2*q - 153*z - 3 wrt q?
198*z + 2
What is the second derivative of -23905*a**2*y + 18*a*y + a - y - 12 wrt a?
-47810*y
What is the first derivative of 4*g**2*n + 173*g**2 - 2*g*n + 511*n + 5 wrt g?
8*g*n + 346*g - 2*n
What is the second derivative of 9*t**4 - 14*t**3 + 4*t**2 + 35*t + 92 wrt t?
108*t**2 - 84*t + 8
Find the first derivative of 988*j**2*l + 492*j**2 wrt l.
988*j**2
Find the third derivative of 3556*c**5 - 2*c**2 - 2*c + 364.
213360*c**2
Find the first derivative of -42*v**2 + 18*v - 1508.
-84*v + 18
What is the first derivative of -d*g**2 + d*g - 520*d - 79*g**3 wrt g?
-2*d*g + d - 237*g**2
What is the first derivative of -97*k*w + 819*k - 3*w + 1 wrt w?
-97*k - 3
Find the third derivative of 1324*h**3 - 77*h**2 + 6*h wrt h.
7944
Find the second derivative of -230*d**3 + 2*d**2 + 1904*d wrt d.
-1380*d + 4
Differentiate 4*l**4*o - 94*l**3*o + 3450*o wrt l.
16*l**3*o - 282*l**2*o
What is the first derivative of -11997*q**2 + q + 4011 wrt q?
-23994*q + 1
What is the first derivative of -330*j + 622 wrt j?
-330
What is the derivative of -169*c**2*t**2 - c**2 - 2*c*t**3 + 272 wrt t?
-338*c**2*t - 6*c*t**2
Find the third derivative of 48*r**3*t**3*w**2 + r**3*t*w**2 + r**2*t**3*w**2 - 2*r**2*t*w - 11*w**2 wrt r.
288*t**3*w**2 + 6*t*w**2
Find the third derivative of -i**4*r - 3*i**4 - 3*i**3*r + 9*i**3 + i**2*r + 2194*i**2 + 2 wrt i.
-24*i*r - 72*i - 18*r + 54
What is the third derivative of 22*g**2*y**3 - 382*g**2*y**2 - g*y**3 + 19*y**3 - 2*y**2 wrt y?
132*g**2 - 6*g + 114
What is the third derivative of -821*z**5 - 342*z**2 - 2 wrt z?
-49260*z**2
Find the second derivative of 80*b**5 + b**3 - 158*b.
1600*b**3 + 6*b
Differentiate -1079*f*q**3 - 2*f*q*w + 567*f*w + 2*f + w - 1 with respect to q.
-3237*f*q**2 - 2*f*w
What is the first derivative of -9*m*o*q - 2*m*o*t + 36*m*q**2*t - 2*o*q**2 + 2*q**2*t - q**2 - 2*q wrt o?
-9*m*q - 2*m*t - 2*q**2
What is the first derivative of -1745*j + 1500 wrt j?
-1745
Find the first derivative of -1638*h**2*j**3 + 2969*h**2 + 5*h*j**3 + 3 wrt j.
-4914*h**2*j**2 + 15*h*j**2
What is the third derivative of -35*i**2*q**6 + 99*i**2*q**3 + 9*i**2*q**2 - 47*i*q**2 + 5*i*q wrt q?
-4200*i**2*q**3 + 594*i**2
Find the first derivative of -6851*r**3 + 21835.
-20553*r**2
What is the second derivative of 10*n**2*y**2*z - 24*n**2*y*z + n**2 + n*y**2*z - 554*n*y**2 + z wrt n?
20*y**2*z - 48*y*z + 2
Find the second derivative of r**4 + 4894*r**3 - r**2 + 225*r wrt r.
12*r**2 + 29364*r - 2
Find the third derivative of 114*h**3 + 9*h**2 + 5*h wrt h.
684
Find the third derivative of -5*l**6 + 3*l**2 - 33*l.
-600*l**3
What is the second derivative of -g**3*w**2 - 2*g**3*w + 3*g**3 - 71*g**2*w - 3*g**2 - 1290*g*w**2 - 6*w**2 wrt w?
-2*g**3 - 2580*g - 12
What is the second derivative of i**4 + 25*i**2 - 673*i wrt i?
12*i**2 + 50
What is the third derivative of -460*k**6 + 405*k**2?
-55200*k**3
What is the second derivative of 21*v**5 - 41*v - 1 wrt v?
420*v**3
What is the second derivative of 332*y**5 - y**4 - 344*y?
6640*y**3 - 12*y**2
What is the second derivative of 5*k**3*s + k**2*s + 29*k**2 - 96*k*s + 41*s wrt k?
30*k*s + 2*s + 58
What is the first derivative of -5171*g + 4435 wrt g?
-5171
Find the third derivative of 15*g**3*w**3 - g**3 - 184*g**2*w**2 + 5*g*w**5 - 2*w**4 wrt w.
90*g**3 + 300*g*w**2 - 48*w
What is the second derivative of -d**4*j*w + 28*d**2*j**3 - d**2*w + 4*d*j**3 - 47*d*j**2 + 2*j**3*w wrt d?
-12*d**2*j*w + 56*j**3 - 2*w
What is the third derivative of 378*x**6 + x**2 - 181*x?
45360*x**3
What is the second derivative of -n**3*y + 5*n**3 + 3*n**2*y + 4*n*y + 4*y wrt n?
-6*n*y + 30*n + 6*y
Find the third derivative of -b**3*k*w**3 + 83*b**3*k*w + 12*b**3*w**3 - 2*b**2*w**2 + 15*b*k*w**3 + 19*w**3 wrt b.
-6*k*w**3 + 498*k*w + 72*w**3
What is the first derivative of -3240*r**2 + 62?
-6480*r
Find the second derivative of -a**5 + 210*a**2 - 205*a wrt a.
-20*a**3 + 420
Find the third derivative of 35*u**4 - 3*u**3 + 169*u**2 wrt u.
840*u - 18
What is the third derivative of 1413*k**3 - 1022*k**2 wrt k?
8478
What is the first derivative of -608*g**2*o**3 - 620*g**2 wrt o?
-1824*g**2*o**2
Find the second derivative of -11690*p**3 + 20124*p wrt p.
-70140*p
What is the second derivative of -60*n**2 - 10*n + 6?
-120
Differentiate g**2*i*z - 4*g**2*z + 48*g*i - 22*i*z - 2*i + 12*z wrt g.
2*g*i*z - 8*g*z + 48*i
What is the first derivative of 23*a*d*w**2 + 2*a*w**2 + a*w - 3*d*w**2 + 3*w**2 + 2*w wrt a?
23*d*w**2 + 2*w**2 + w
Differentiate 25*w - 113 with respect to w.
25
Find the first derivative of 32*p**3*s**3 - 12*s**3 - 11*s wrt p.
96*p**2*s**3
Find the third derivative of 3*b*d**2*l**4 - 21*b*d**2 - 2*b*l**2 + 251*d*l**4 - 16*l**2 wrt l.
72*b*d**2*l + 6024*d*l
Find the third derivative of u**4 - 763*u**3 + 16*u**2 - 14*u - 3 wrt u.
24*u - 4578
What is the derivative of 3*r*w**3 - r*y + 58*r + w**3*y - 3*w**2*y wrt w?
9*r*w**2 + 3*w**2*y - 6*w*y
What is the first derivative of 4*t**3 - 365*t - 7345 wrt t?
12*t**2 - 365
What is the third derivative of 39*n**3 + 36*n**2 - n?
234
Find the second derivative of 32*p**5 - 2*p**3*v - p**2*v - 4*p*v - 42*v wrt p.
640*p**3 - 12*p*v - 2*v
Find the second derivative of 11*r*t**3 - 5*r*t**2 + r*t - 2*t**3 - 272*t wrt t.
66*r*t - 10*r - 12*t
What is the first derivative of 44*g**3*t*w - 3*g*t + g*w - 5*t*w - 10*w wrt g?
132*g**2*t*w - 3*t + w
What is the first derivative of -74*k**3 - k - 107?
-222*k**2 - 1
Find the third derivative of -3923*v**5 - 2*v**2 + 271*v.
-235380*v**2
Differentiate -84*d**4*z - d**4 + 888*z with respect to d.
-336*d**3*z - 4*d**3
Find the first derivative of -r**2*u**2 - 26*r**2 + 88*u**2 wrt u.
-2*r**2*u + 176*u
What is the first derivative of c**3*m - 216*c**3 - 202*c**2*m**2 wrt m?
c**3 - 404*c**2*m
What is the first derivative of 2*m*s**3 + 95*m*s + 4*s**3 - 6*s**2 wrt m?
2*s**3 + 95*s
Find the second derivative of -12*j**2*l**3 - 184*j**2*l**2 - 2*j**2*l + 2*j*l**3 + 234*j wrt l.
-72*j**2*l - 368*j**2 + 12*j*l
Differentiate 13*a**2*i**2 + 2*a**2*k - a**2 - 4*a*i**2*k**2 - 2*a + 3*i**2*k**2 with respect to k.
2*a**2 - 8*a*i**2*k + 6*i**2*k
Find the first derivative of -322*b - 180 wrt b.
-322
Differentiate 15*h**4 + 76*h**2 + 2239.
60*h**3 + 152*h
What is the derivative of 99*j + 266?
99
What is the second derivative of 2*d**3*m**5 + 7*d**3*m*o + 6*d*m - 3*d*o + 135*m**3*o wrt m?
40*d**3*m**3 + 810*m*o
What is the third derivative of 7325*x**5 + 17*x**2 + 5*x + 26?
439500*x**2
Find the first derivative of 2*l**4 + 2446*l**3 - 5026 wrt l.
8*l**3 + 7338*l**2
What is the second derivative of -150*k**3*y**2 - 4*k**3 - k*y**3 + y**2 - 56*y wrt y?
-300*k**3 - 6*k*y + 2
Find the second derivative of 2*a**3*t**5 - 1555*a**3 - 2*a**2*t - 526*a*t**4 + t**2 wrt t.
40*a**3*t**3 - 6312*a*t**2 + 2
Find the second derivative of -10*t**4 - 79*t**3 - 1846*t wrt t.
-120*t**2 - 474*t
Find the second derivative of 12*b**2*d**3 + b**2*d**2 - 68*b - 2*d**3 wrt b.
24*d**3 + 2*d**2
What is the third derivative of m**5*t + 3*m**3*t**2 + 27*m**3 + 10*m**2 - t**2 wrt m?
60*m**2*t + 18*t**2 + 162
What is the third derivative of -326*b*n*y**3 - b*n*y**2 - 10*b*y**2 - b - n*y**3 + 5*n*y**2 wrt y?
-1956*b*n - 6*n
Find the third derivative of 7078*y**5 - 4*y**2 + 1485*y wrt y.
424680*y**2
Differentiate -3932*i**2 + 3077 wrt i.
-7864*i
Differentiate -4056*q + 7818.
-4056
Differentiate -2627*j**3 - 1314 with respect to j.
-7881*j**2
Find the first derivative of -1221*n + 518 wrt n.
-1221
What is the third derivative of -4*q**3 - 4759*q**2 wrt q?
-24
What is the derivative of -2*h**2*i - 78*h**2 + 2*h*i**3 - 2*h + 100*i**3 wrt i?
-2*h**2 + 6*h*i**2 + 300*i**2
Find the second derivative of 3*b**5*i - 11*b**2*q + 8*b*i*q + 2*b*i - 2*b*q wrt b.
60*b**3*i - 22*q
Find the first deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let c be a(3). Let v be 7/((-14)/3)*2. Calculate the remainder when -1 + v*(c - 13) is divided by 10.
9
Suppose -452 = -3*f + h - 2*h, 5*f + 4*h = 751. Suppose 6*r = r + 5*n - 115, 5*r + 105 = 3*n. What is the remainder when 66 is divided by f/9 - 4/r?
15
Let m(r) = -r**3 + 7*r**2 - 2*r + 6. Let z be m(7). Let g(n) = -n - 6. Let y be g(z). What is the remainder when (y - -4)*(-10)/(-6) is divided by 4?
2
Let t(f) = -95*f - 1. Calculate the remainder when 181 is divided by t(-1).
87
Let t = 390 - 323. What is the remainder when t is divided by 43?
24
Let r be (-4 - 219/(-12))/((-1)/4). Let x = r - -80. What is the remainder when x is divided by 14?
9
Let o(c) = c**3 + 4*c**2 + c + 2. Let l be (2 - (-4 + 2)) + -17. Let n = 8 - l. What is the remainder when n is divided by o(-3)?
5
Let p = 14 - 2. Suppose p = 3*s, -2*n + 3*s - 6*s = -40. Let a = 6 + -2. What is the remainder when n is divided by a?
2
Suppose -143*g = -147*g - 20. Let a(t) = -t**3 - 4*t**2 + t - 1. Calculate the remainder when 130 is divided by a(g).
16
Suppose 5*g - 252 = -4*g. Let n = g - -4. What is the remainder when 61 is divided by n?
29
Suppose -131 - 91 = -5*k - 4*s, 5*k - 2*s - 204 = 0. What is the remainder when k is divided by 1?
0
Suppose 98*g = 94*g + 304. Suppose 9*z - g - 221 = 0. What is the remainder when z is divided by 13?
7
Let y(i) = i**3 - 9*i**2 + i - 52. What is the remainder when 239 is divided by y(10)?
7
Let t(u) = 2*u**3 - 5*u**2 - 3*u + 7. Let h(b) = -3*b**3 + 9*b**2 + 5*b - 13. Let s(m) = -4*h(m) - 7*t(m). Calculate the remainder when 11 is divided by s(0).
2
Let b(y) = 8*y - 9*y - 4*y. Let i(n) = n**3 - 9*n**2 + 7*n + 6. Let a be i(8). Calculate the remainder when b(a) is divided by 6.
4
Let m be 243/12 + 1/(-4). Suppose 4*o = -0*o + m. Suppose -o*t + 10 = -20. What is the remainder when 11 is divided by t?
5
Let h = -33 - -39. Suppose 0 = -a + h*a - 340. Calculate the remainder when a is divided by 14.
12
Let i(w) = -w**2 + 9*w - 10. Let s be i(7). Suppose 25 = -s*c + 4*q + 121, q + 93 = 4*c. What is the remainder when c is divided by -1*(-4 + 1) - -3?
5
Suppose 3*t = -12, -3*y - 14 = -0*t + 5*t. What is the remainder when 508/(-8)*(y + -1)*-2 is divided by 33?
28
Let n(p) = p**3 - 4*p**2 - 13*p + 2. Let s be n(6). Let y = s + -6. Calculate the remainder when 9 is divided by (2/y)/(2/(-50)).
4
Suppose -5*c + 4 + 6 = 0. Suppose 150 = 4*f + 4*w + w, 0 = c*f - 3*w - 86. Let v = f + -24. Calculate the remainder when 29 is divided by v.
13
Let q = 690 - 676. Calculate the remainder when 97 is divided by q.
13
Calculate the remainder when 167 is divided by (-2)/(-4)*840/45*3.
27
Suppose 0 = 2*y - 10, 2*c = -5*y + 34 + 9. Suppose 3*n - 7 = -s, 5*s - c = -2*n - 0*n. What is the remainder when 8 is divided by n?
0
Let r = 7 + -4. What is the remainder when r + (0 - 19)/(-1) is divided by 112/10 - (-32)/40?
10
Let w(m) = -2*m - 2. Suppose -2749*t + 2767*t - 162 = 0. What is the remainder when w(-6) is divided by t?
1
Suppose 5*v - 120 = -5*b, -7*b + 50 = -5*b + 3*v. What is the remainder when b is divided by 64/10 - 2/5?
4
Let t(j) = -j**3 - 3*j**2 + 2*j + 4. Suppose -34 = 5*r - 9, -2*m + 44 = 2*r. Let h = 8 + m. Calculate the remainder when h is divided by t(-4).
11
Suppose -2*c = a - 2*a + 34, -2*c + 134 = 3*a. Let d(u) = 60*u + 1992. Calculate the remainder when a is divided by d(-33).
6
Let w(u) = u**3 - u**2 + 22. Let l be w(0). Let m be l/33 - 136/6. Let i = -15 - m. Calculate the remainder when 33 is divided by i.
5
What is the remainder when 522 is divided by (-258)/4*-2 + 4?
123
Let c(p) = 23*p + 13. Calculate the remainder when c(4) is divided by 55.
50
Suppose -65*d + 5282 = -27*d. Calculate the remainder when d is divided by 46.
1
Let c = 8 + 19. Suppose 4*d + 2 = -18, 2*p = -5*d - 167. Let j = 87 + p. Calculate the remainder when c is divided by j.
11
Suppose 2*p = 2*q + 78, q = 1 - 6. Suppose 0 = 4*a + 2*y + 6, a + a - 9 = 3*y. Let n = a + p. What is the remainder when 67 is divided by n?
33
Let u be (36/(-27))/(1/(-3)). Suppose 0 = -5*t + u + 11. Suppose 7*z - t*z = 56. Calculate the remainder when 39 is divided by z.
11
Let s(y) = 5*y - 28. Let r(x) = x**2 - 11*x - 5. Let d be r(12). Calculate the remainder when 20 is divided by s(d).
6
Let q = -476 + 495. What is the remainder when 49 is divided by q?
11
Let k = 304 + -172. Let v(s) = 93*s**2 + 1. What is the remainder when v(-1) is divided by k/6 + (-2)/(-1)?
22
Suppose -52*g = -64*g + 708. What is the remainder when g is divided by 16?
11
Calculate the remainder when 27 is divided by (0 + 34/(-4))/(28/(-56)).
10
Let t be (-2 + 3)*4 + (-5 - -1). Suppose t = -r + 5*c + 22, c + 0*c + 1 = 0. What is the remainder when 453/7 + (-4)/(-14) is divided by r?
14
Let t(v) = 3 - 32*v**2 - 2 - v**3 - 16 - 2*v + 12*v**2. What is the remainder when 48 is divided by t(-20)?
23
Suppose 4*w - 169 = -b, -4*b + b = -4*w - 443. Suppose -8*y = -5*y - b. What is the remainder when y is divided by 14?
9
Suppose -2*a = -v - 4*v - 27, a + 4*v = 20. Calculate the remainder when 42 is divided by a.
10
Let m = 112 - 111. Calculate the remainder when 72 is divided by (340/8 - 5) + m/(-2).
35
Suppose 137*n = 144*n - 546. What is the remainder when 221 is divided by n?
65
Suppose 374*d - 105 = 367*d. Let y(x) = 5*x**2 + 2*x + 3. Calculate the remainder when y(-5) is divided by d.
13
Suppose n - 23 - 101 = 0. What is the remainder when n is divided by 26?
20
Let n(g) = 2*g + 11. Let f(h) = -1. Let d(b) = 4*f(b) - n(b). Suppose -m = 3*z + 20, -17 = 5*m - 4*z + 26. Calculate the remainder when 12 is divided by d(m).
5
Suppose -70 - 63 = -7*d. What is the remainder when 124 is divided by d?
10
Suppose -y = 7*r - 6*r - 4, 4*r + 5*y - 12 = 0. What is the remainder when 53 is divided by r?
5
Suppose 4*d = -147 - 1797. Calculate the remainder when d/45*(-20)/6 is divided by 20.
16
Suppose 8*j - 14*j = -234. Let o = j + -24. Calculate the remainder when 37 is divided by o.
7
What is the remainder when (2 - 4/(-8))*(-402)/(-15) is divided by 25?
17
Let k = 22 - -3. Let b be (-5)/2*(-380)/k. Suppose 3*h + b = 5*h. What is the remainder when h is divided by 10?
9
Let r = -19 + 95. Let a = -49 + r. Let j = a - -27. Calculate the remainder when j is divided by 14.
12
Let r = 19 - -45. Let h = r + -57. Calculate the remainder when 12 is divided by h.
5
Let d(f) = -f**3 - 7*f**2 + f - 6. Let c be d(-7). Let s = 21 + 5. Let r = s + c. Calculate the remainder when 51 is divided by r.
12
Let t = -77 + 101. Suppose t = -4*r + 36. Calculate the remainder when 6 is divided by r.
0
Suppose 6*w - 480 = -14*w. What is the remainder when 73 is divided by w?
1
Let a(p) = p**3 - 10*p**2 + 10*p - 5. Let r be a(9). Suppose 4*n = 5*t - 16, 0*n - 2*t + 12 = r*n. What is the remainder when 46 is divided by n - (-1 + -2)*5?
14
Let o(r) = 13*r**2 + 3*r + 3. Suppose d + 4*d = -x + 26, -4*d + 104 = 4*x. What is the remainder when o(3) is divided by x?
25
Let s(w) = 2*w - 7. Suppose -7*y = -2*y - 65. What is the remainder when y is divided by s(6)?
3
Suppose 0 = -3*a + p + 2*p + 177, -2*p - 6 = 0. What is the remainder when a is divided by 22?
12
Let t be ((-66)/(-55))/(4/10). Suppose 2*k = 4*k + 3*c - 15, 5*c - 6 = t*k. Suppose k = 5*z - 22. Calculate the remainder when 7 is divided by z.
2
Let i = 115 + -100. Calculate the remainder when i is divided by 1*(8 + (-2 - -2)).
7
Let y = -199 + 852. What is the remainder when y is divided by 9?
5
Suppose -6 = 3*y - 5*v - 93, -v - 6 = 0. Let h(j) = -j**3 - 6*j**2 + 10*j + 5. Calculate the remainder when h(-8) is divided by y.
15
Suppose -l + 7 = -3*b, -4*l - 12*b = -14*b - 28. Calculate the remainder when 32 is divided by l.
4
Suppose 3*p - 9 = 3*h, -2*p - p = -2*h - 6. What is the remainder when ((-77)/2 + 1)/(h/4) is divided by (26/(-3))/((-4)/6)?
11
Suppose 3*q - 5*s = 13 + 46, 88 = 5*q + 2*s. Let o = -5 + 8. Suppose -4*d = 3*g - 207, 3*d + o*g - 200 = -44. What is the remainder when d is divided by q?
15
Suppose 3*n = 10*n - 5656. What is the remainder when n is divided by 9?
7
What is the remainder when 49 is divided by (-6 - (-26)/13)/(4/(-26))?
23
Suppose 4*l - 3*b - 56 = -0*l, -3*l = 3*b - 63. Let i = l + -3. Calculate the remainder when i is divided by 9.
5
Suppose 4*s = 5*y + 129, 5*s - 4*s = -4*y
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/357 + 20/35. Let j = m + 603/136. Find the common denominator of j and (8 + -4)/28*742/12.
24
Let h = -42 - -106. What is the common denominator of 65/2 and (2/h)/((-40)/(-2480))?
16
Let p = 165494157/15614 + -23977/422. Let z = -10541 + p. What is the common denominator of 34 and z?
37
Let b = -63 + 89. Let z = -18 + b. Calculate the lowest common multiple of 3286/62 + 1 + 8/2 and z.
232
Let j = 11469 + -11457. What is the least common multiple of j and 925?
11100
Let q = -1/226593 + 4229737/226593. Find the common denominator of q and 2/2 + (-43)/9.
9
Let n(u) = -5*u - 8. Let p be n(0). Let j be (-198)/p - 0 - (-13)/52. Suppose 3*b = -2*i + i + j, -b + 15 = -3*i. What is the least common multiple of 15 and b?
45
What is the common denominator of -5 + 3 - 120/(-90)*7517/5068 and -43/6?
7602
Let b be 278/10 + 0 + 26/130. Suppose 21*l = 19*l + b. What is the lowest common multiple of l and 12 - (1 - -10) - 53/(-1)?
378
Let f = -3 + 5. Let s be f/2*510/15. Suppose 5*v = 134 - s. What is the smallest common multiple of 6 and v?
60
Suppose -99 = 19*i - 30*i. Suppose 2 = -0*o + 5*o - 3*r, 0 = 5*o + 4*r - i. Calculate the common denominator of 77/8 and (-275)/7 - o - 16/(-56).
8
Let d = -4774827093 - -811724544891/170. Let s = d + -23171. Calculate the common denominator of -89/102 and s.
510
Suppose -14935 + 97689 = 128*a + 33*a. What is the least common multiple of 2827 and a?
5654
Suppose 0 = -12*a + 42 + 6. Suppose 4*f - 5 = o, 0 = -5*f - a*o - 0*o + 1. Calculate the smallest common multiple of 5 and f.
5
Suppose -21*p - 104 = 85. What is the smallest common multiple of (-6)/p + 678*(-3)/(-27) and 4?
76
Let c = -1610 - -2186. What is the lowest common multiple of 216 and c?
1728
Let l = 6/101 + -4985/606. What is the common denominator of (21/(-133))/((105/(-260))/(-7)) and l?
114
What is the smallest common multiple of ((-6)/7)/(6/(-172788)*11) and 612?
6732
Let t = -114272759732015/3699234 + 1575437057/51. Let f be (-98915)/49455 + -4 + 6. Let z = f - t. Calculate the common denominator of z and 97/40.
440
Calculate the common denominator of (-24)/(2018520/41463) + (12/14)/2 and 1/240.
21360
Let t = 73/3 + -557/18. Let m = 11961949/126 + -94935. What is the common denominator of m and t?
126
Let c(y) = 2*y**2 + 15*y + 8. Let x be c(-6). Let q be (-9)/(-2)*x/(-5). Calculate the least common multiple of 9 and (6/(-4) + 1)*(1 - q).
36
Let g be 5 - (-3 + 9) - (-4262)/(-924). Let k = g - -93/14. Calculate the common denominator of k and 88/21.
231
Let s = -23470/4059 - -2/451. Let l = -53577 + 31365. Find the common denominator of 3/(-57) + l/(-6156) and s.
9
Let v = 32 - 85. Let q = 1611 + -1549. Let o = v + q. What is the least common multiple of 21 and o?
63
Suppose k + 3*o = 8*o + 13, -4*o = -5*k + 23. Suppose 2*m + k*c = -c - 26, c - 4 = 3*m. Calculate the common denominator of -95/8 and m + -13*26/24*-2.
24
Let f(x) = 63*x + 14. Let b be f(1). Let n = b + -62. What is the smallest common multiple of n and 40?
120
Let z = -268/11 + 34003/1397. Let r = 671/1524 + z. Find the common denominator of r and -11/45.
180
Let p = 91/17 - 1958/153. Let x be 48397/18 + (-8 - -4). Let q = x - 2684. What is the common denominator of p and q?
18
Suppose -4*j + 2*i + 92 = -3*i, -3*i - 12 = 0. Suppose -5*t + 50*o - 48*o = -36, -5*o = 15. What is the smallest common multiple of t and j?
18
Suppose -3*l = -5*n + 3209, -l + 3*n - 973 = 98. Calculate the common denominator of (-1)/(-90)*(-3 + l/8) and -56/93.
1860
Let j be (233971/(-2))/(-17)*(-2)/42. Let h = j + 2190/7. Calculate the common denominator of h and 5/4 + (1 - 1).
12
Let y = 9718/5697 + -4/1899. What is the common denominator of -70/2787 and y?
25083
Let w = -349 - -269. Calculate the common denominator of 6*4/(w/25) and -95/92.
92
Let a be 3705/10 + (-1)/2. Let w = 376 - a. What is the smallest common multiple of 8/(-10)*(-28 + -2) and w?
24
Suppose 52*h - 57*h = -9530. Let d be (-2)/((-36)/(-34107)) - -3. Let v = d + h. Calculate the common denominator of -49/6 and v.
6
Let t be 2 + -1 - 272/(-8). Let j be (-5)/t + 44/14. Suppose -2*n + 0*a = -a - 47, n - 41 = -j*a. What is the smallest common multiple of 10 and n?
130
Suppose 16*h - 2*h = -98. Find the common denominator of -7/11 and 1498/24*h/(-196).
528
Suppose 856 = 2*l + 3*m - 2195, -2*m = 5*l - 7600. Let a be l/(-44)*(-4)/3. Calculate the least common multiple of 34 and (a/115)/((-2)/(-50)).
170
What is the common denominator of 34/9 and (6 - (-4 + (-33114)/(-4680))) + 10 + -13?
2340
Let r = 77597/40 + -1939. Calculate the common denominator of 6/42 - 489/(-350) and r.
200
Let s(x) = -x**2 - 3*x + 34. Let i be s(-5). Suppose 0 = 6*j - 10*j + i. Calculate the lowest common multiple of j and 189.
378
Let r(u) = -u**2 - 20*u + 248. What is the smallest common multiple of r(8) and 376?
1128
What is the common denominator of 1262*5/(-1710) - (-3 - -3 - 4) and -42/95?
855
Let f be -1*1 + 2176/160. Let x = f - 9/5. What is the common denominator of x and 285/24 - (-1)/4?
40
What is the common denominator of ((-28)/(-161280)*-15)/(1/(-101)) and 51/44?
4224
Let p = -48784691285140956631/1214580 + 40165893794681. Let k = p + -1/40486. Find the common denominator of 89/20 and k.
60
Suppose -13*t = -33*t + 100. Let b(z) = -9*z**3 + 2*z + 1. Let d(m) = m + 2. Let u be d(-3). Calculate the lowest common multiple of t and b(u).
40
What is the common denominator of ((-37)/(-6327))/(-5 + 6740/1356) and -27/32?
9120
Let a(q) be the first derivative of -3*q**2 + 4*q + 3. Find the common denominator of 6/(-10) - -1 - (-6230)/300 and a(8).
6
Calculate the common denominator of 35/12626 and 3 - -2*260/320.
50504
Let s = 68003/30 - 2270. Find the common denominator of s and 1/15*1192/16.
30
Let k(i) = -15*i + 245. What is the least common multiple of k(10) and 15?
285
Let i = -149504 + 120799193/808. Let c = i - -577/707. What is the common denominator of 53/8 and c?
56
What is the common denominator of -32/117 and (24/26)/(390/(-52))*10/156?
1521
Let z be (3/(-5))/((-3)/15). Let k(r) = -3*r**z + 9*r**2 + r**3 + 5*r**3 + r - 3 - 4*r**3. Calculate the lowest common multiple of k(9) and 2.
6
Find the common denominator of 101/200 and 413/700 - ((-112)/20 - -6).
200
Let j be (-3)/(-12) + 42/24. Suppose j*c - 522 = 54. What is the least common multiple of 22 and c/28 + (-4)/14?
110
Let j be ((-1)/60)/((-327285)/(-23285390)). Let t = j - -2/28053. Find the common denominator of 101/50 and t.
350
Suppose 255*i + 203 = 284*i. Calculate the least common multiple of i and 10.
70
Let r = -792849839/20616 - -41900/859. Let q = 38415 + r. Calculate the common denominator of q and 781/154 + (-4)/(-6)*-3 + -9.
168
Let n = 41/19870 + -1261913/28970460. Find the common denominator of n and 37/180.
14580
Let q = 663519 - 541431421/816. Find the common denominator of 151/1224 and q.
2448
Calculate the common denominator of -99/8 and (-21566)/(-96382) + (-2382)/10322.
29656
Find the common denominator of 89/842 and 4/6*1755/180.
842
Let d = -4899/110 - -425/11. Calculate the common denominator of d and 50/319.
3190
Let z = 6962 + -6958. What is the smallest common multiple of 792 and z?
792
Find the common denominator of (-1)/(-1)*-15*6/(-720) and -97/126.
504
Find the common denominator of 2/(-4)*(-1*12 + (-6528)/(-540)) and -35/144.
720
What is the common denominator of (-135115)/(-400980) - ((-6)/12 - 15/(-18)) and 17/18?
240588
Let g(l) = l**3 - 16*l**2 - l + 68. What is the lowest common multiple of g(16) and 90?
2340
Let m = 567 - 645. Find the common denominator of -83/255 and 6 + (362/(-72))/((-130)/m).
1020
Let m = -32 + -43. Let u = -853645/11 + 77609. Find the common denominator of (m/(-6))/((-22)/4) and u.
11
Let p be (2/(-7))/1 - (-130000750)/9450. Let q = p + -13758. Let k = -167291/24 + 6976. What is the common denominator of q and k?
216
Let k(f) = -f**3 + 17*f**2 - 25*f + 18. Let j be k(13). Let x = 635 - j. Calculate the lowest common multiple of 6 and x.
798
Let i = -799561/2781600 + 295/1159. Calculate the common denominator of 17/6 and i.
2400
Suppose 400*t - 463*t + 9688 = 49. Calculate the least common multiple of t and ((-40)/30)/((-2)/9).
306
Let x be (35/7 + 3)*(-2)/(-8). Let r be (-15)/3 - x*-8. Suppose r*o - 9*o = 16. What is the least common multi
|
{
"pile_set_name": "DM Mathematics"
}
|
((x**(1/20)*x)/x)**(1/27) assuming x is positive.
x**(1/540)
Simplify (m/(m*m*m**(-2/7))*m)**5/(m**(4/7)/(m*((m/(m*m*m**(-4)))/m)/m)) assuming m is positive.
m**(20/7)
Simplify (i**(-3/2)/i)/i**(-2) assuming i is positive.
1/sqrt(i)
Simplify ((l**(-3)/l)/l**(-8))/(l**(1/2)/l*l*l)**(-28) assuming l is positive.
l**46
Simplify ((m**(-5)/m)/((m*m**(2/11))/m))/(m**1)**29 assuming m is positive.
m**(-387/11)
Simplify ((q**(-2/27)/q)/(q*q*q**(2/23)))**(-33) assuming q is positive.
q**(21593/207)
Simplify ((h/(h/h**(-1/6)))**8)**(-1/2) assuming h is positive.
h**(2/3)
Simplify (z**2/z)/(z/(z*(z*z**(-1/9))/z))*(z*z**(-4/7))/(z*z/((z*z*z*z*z/(z**4/z*z))/z)*z) assuming z is positive.
z**(-106/63)
Simplify b*b/((b/(b*b*b/((b/(b/(b/b**(1/7))))/b*b*b*b*b))*b)/b)*b**(-3/8)/b*(b**(2/23)/b)/b**(-2/15) assuming b is positive.
b**(-38869/19320)
Simplify (a/a**(-9)*a*a**(-2/13)*a)/(a**(-3)/(a/(a/(((a**(-6/7)/a*a)/a)/a*a)))) assuming a is positive.
a**(1182/91)
Simplify b*b*b/(b*b**(-1/7))*b*b*b*(b*b*b**(6/13)/b*b*b)/b*b*((b**(-2)*b)/b)**(-9) assuming b is positive.
b**(2421/91)
Simplify t**13*t*t**(-15/4)/t assuming t is positive.
t**(37/4)
Simplify p**(-30)/(p**(1/10)/p) assuming p is positive.
p**(-291/10)
Simplify t**(-1/24)/t*t**(-1/2) assuming t is positive.
t**(-37/24)
Simplify ((b/(b**1/b))**(-2/57))**23 assuming b is positive.
b**(-46/57)
Simplify (z*z**3*z)**(-32) assuming z is positive.
z**(-160)
Simplify (a/(a*a**(-1)*a))**(1/4) assuming a is positive.
1
Simplify ((b/b**(-6/13))/(b*(b*b**(2/3)*b)/b))**(-39) assuming b is positive.
b**47
Simplify n**(2/13)/(n*(n*n*n**(3/4))/n)*(n/n**(2/3))/(n/(n*n*n**(-1/3)*n)) assuming n is positive.
n**(-31/52)
Simplify p**37/p**(-1/15) assuming p is positive.
p**(556/15)
Simplify (a*a/(a**(-2/5)*a))/a**(-1/8)*a**(4/7)/(a*a*a/a**(4/9)) assuming a is positive.
a**(-1157/2520)
Simplify (((o*o**(-1))/o)/o)**(-8)*(o/(o*o**(1/2)/o))**(-12) assuming o is positive.
o**10
Simplify c**13/(c/(c**17*c)) assuming c is positive.
c**30
Simplify ((j**6*j*j)/j**(-1/4))/(j*j**(-2/9)*j**6) assuming j is positive.
j**(53/36)
Simplify (v/v**(2/13))**(-37) assuming v is positive.
v**(-407/13)
Simplify (k/((k**(-20)*k)/k))**(-1) assuming k is positive.
k**(-21)
Simplify (o**28)**(3/14) assuming o is positive.
o**6
Simplify ((((g/g**(-4)*g)/g)/g)/g)/(g**(-1/2)*g)*(g**(-1))**(1/47) assuming g is positive.
g**(233/94)
Simplify ((q*q**(1/7))/q**(1/8))/(q**1/(q/(q*q**(-8)))) assuming q is positive.
q**(449/56)
Simplify (t**(-1/2)*(t/(t/(t**(-1/5)/t)))/t)**5 assuming t is positive.
t**(-27/2)
Simplify p**(-5/8)/(p/((p/p**(1/2))/p)*p) assuming p is positive.
p**(-25/8)
Simplify z**(12/11)*z/z**(2/21)*z assuming z is positive.
z**(692/231)
Simplify (a/(((a**(6/5)/a)/a)/a)*a**3)**(1/14) assuming a is positive.
a**(29/70)
Simplify l**(-12)*l**(-2/9) assuming l is positive.
l**(-110/9)
Simplify (o/(o/((o/o**(-2/7))/o)))**(1/18)*o/(o*o**(-7))*((o*o**(-2))/o)/o assuming o is positive.
o**(253/63)
Simplify (t**1)**(-27)*t/t**1*t**(4/9) assuming t is positive.
t**(-239/9)
Simplify f*f/(f/f**21)*f**(-6/11)*f*f assuming f is positive.
f**(258/11)
Simplify (m*m/(m/m**(-8/5)))/(m**(-9)/m) assuming m is positive.
m**(47/5)
Simplify d*d/(d*d/(d/((d/(d*d**(2/21))*d)/d))*d)*d*d/((d**22*d)/d) assuming d is positive.
d**(-418/21)
Simplify j*j**0*j*j*j*j/(j*j**(-1/3))*j*j**(-3/8)*(j**(3/2)/j*j)/j assuming j is positive.
j**(131/24)
Simplify (x**2/x*x/x**(1/4))/(x*x*x/(x**0/x)*x*x*x**(-7)) assuming x is positive.
x**(11/4)
Simplify (k/(k/(k/(k*k**7))))/k**18 assuming k is positive.
k**(-25)
Simplify (i**(2/17)/i**(-1/4))**(-46) assuming i is positive.
i**(-575/34)
Simplify n**(-7/2)*n*n/(n*n/((n/n**(7/2))/n))*(n**(2/7))**(16/5) assuming n is positive.
n**(-213/35)
Simplify (n/n**(-37))**26 assuming n is positive.
n**988
Simplify ((b**6)**(6/11))**(1/12) assuming b is positive.
b**(3/11)
Simplify ((a**(-1/6)*a*a)**(-5/8))**(3/2) assuming a is positive.
a**(-55/32)
Simplify ((b*b**(1/2))**20)**(-6/11) assuming b is positive.
b**(-180/11)
Simplify ((k/(k/k**0)*k)/k)**(3/26) assuming k is positive.
1
Simplify w/(w*w/w**(5/4))*w**(-4/11) assuming w is positive.
w**(-5/44)
Simplify i*i**(-1/7)*(i*i/(i/i**(1/2))*i)/i assuming i is positive.
i**(33/14)
Simplify (x*x*x**0)/((x*x/(x*(x/x**1*x)/x)*x)/x)*(x**(-4/7)/x)/x*x/x**1 assuming x is positive.
x**(-11/7)
Simplify (y**(-5)*y**(-2/5))/(y*y**(-7)*y*y**(4/5)/y) assuming y is positive.
y**(-1/5)
Simplify l**(2/23)/(l**(-1/3)*l)*(l/l**0)**(-5/2) assuming l is positive.
l**(-425/138)
Simplify (y**(4/5)/(y**(2/3)/y))/(y**(2/9)*y/y**(-6/11)) assuming y is positive.
y**(-314/495)
Simplify w**(1/8)*w/(w*w/w**8) assuming w is positive.
w**(57/8)
Simplify ((o/(o/(o**(-5)*o)*o))/(o*o**(-4/3)))/(o**(2/9)*o*o**(-2/13)) assuming o is positive.
o**(-671/117)
Simplify ((t/(t*t**(-3)*t*t))/(t/(t**8*t)))**26 assuming t is positive.
t**234
Simplify (r**3/r)**(7/3) assuming r is positive.
r**(14/3)
Simplify p**(-9)/(p**(-2/41)*p) assuming p is positive.
p**(-408/41)
Simplify (f**(2/5))**(-9/5)*f**3/f**(3/5) assuming f is positive.
f**(42/25)
Simplify o*o/o**(-3)*o**(-2/29)*(o**1/o)**(-32) assuming o is positive.
o**(143/29)
Simplify w**(-6)*w**(3/4) assuming w is positive.
w**(-21/4)
Simplify (k/(k*k*k*k**(6/7)*k*k*k))**(8/3) assuming k is positive.
k**(-328/21)
Simplify (h**(-1/4)/h*h*h)**(11/6)/(h**(-4)/(h*h*h/h**0*h*h)) assuming h is positive.
h**(83/8)
Simplify ((a*a**(2/3))/a*a)/a*a/(a**(-7)*a)*(a/((a/((a**1*a)/a))/a))**(2/9) assuming a is positive.
a**(73/9)
Simplify (p**(1/3)*p*(p*p**(-12)*p*p)/p)**(-1/6) assuming p is positive.
p**(13/9)
Simplify (f**(2/3)*f*f**(3/2))/(f/(f/((f*f**(-10))/f))*((f/(f**(-6)/f))/f*f)/f) assuming f is positive.
f**(37/6)
Simplify ((v*(v**(-2/3)/v)/v*v)/v)**(-1/24)/(v**(-2/23)*v**(-2/7)) assuming v is positive.
v**(5125/11592)
Simplify (m**(-6)*m*m/((m**6/m)/m))/(m**(-2/3))**(30/7) assuming m is positive.
m**(-36/7)
Simplify y**0/y*y*y*((y*y**(4/3)/y)/y)/y assuming y is positive.
y**(1/3)
Simplify t*t*t*t**(-36)*t*t**(3/11) assuming t is positive.
t**(-349/11)
Simplify (s**4/s)/s*s*s**(-16) assuming s is positive.
s**(-13)
Simplify (d*d**21*d)/(d/(d*d*d**15*d*d*d*d)) assuming d is positive.
d**43
Simplify i**(16/5)*i**(-1/6) assuming i is positive.
i**(91/30)
Simplify n*n*n**(-16)*n**(-15) assuming n is positive.
n**(-29)
Simplify (((b*b**(3/7))/b)/(b**(-2/7)*b))/((b/(b**(2/7)*b*b*b))/((b/(b*b*b*b*b**0)*b)/b)) assuming b is positive.
1/b
Simplify ((c*c*c**(-3)*c)/c**(-8/3))**(-35) assuming c is positive.
c**(-280/3)
Simplify v**4*v**(-6)*v/(v/(v*v/((v*v*v*v**(2/9))/v))*v)*v*v**6 assuming v is positive.
v**(34/9)
Simplify (b**(3/16)/b)/(b/(b/(b/b**(-9)))*b) assuming b is positive.
b**(-189/16)
Simplify ((b**(-2/5))**(-27))**(2/77) assuming b is positive.
b**(108/385)
Simplify (v**15*v*v*v/(v*((v/(((v**(-9)*v*v)/v)/v*v)*v)/v)/v))**6 assuming v is positive.
v**54
Simplify (f**(-2/7)/f)**4/(((f/f**(-1/3)*f)/f)/f**6) assuming f is positive.
f**(-10/21)
Simplify (n**(-1/2))**(-27)/(n/(n/((((n*n**2)/n)/n)/n)))**(2/11) assuming n is positive.
n**(27/2)
Simplify j/j**(1/3)*j*j/(((j/(j/(j/(j*j/((j**(-17/5)*j)/j))*j)))/j*j)/j) assuming j is positive.
j**(106/15)
Simplify m**22*(m*m**11)/m assuming m is positive.
m**33
Simplify v*v/v**(-7)*v*v*v/((v*v*v**(3/2))/v)*v*(v*v**7)/(v/(v**(1/10)/v)) assuming v is positive.
v**(83/5)
Simplify h**(-7/8)*h/(h**(-14/5)*h)*h assuming h is positive.
h**(117/40)
Simplify (j**(-1/10)*j*j)/j**(3/14) assuming j is positive.
j**(59/35)
Simplify (s**(4/9)/s)**6 assuming s is positive.
s**(-10/3)
Simplify (l**2)**(-1)/((l/(l/l**(-2)))/l*l**7*l) assuming l is positive.
l**(-7)
Simplify (m**(-1))**(-3/31)/(m**(-1))**(11/5) assuming m is positive.
m**(356/155)
Simplify (h*h*h**(-1))**27*(h*h*(h*((h/(h/(h*(h/((((h*h**(-3)*h)/h)/h)/h))/h*h)))/h*h)/h*h)/h)/((h*h**(-5))/h*h*h) assuming h is positive.
h**38
Simplify (j**(-1/6)/(j*j**(-3/7)/j*j))/(j**(1/2)*j**(8/5)) assuming j is positive.
j**(-298/105)
Simplify o**(2/29)/(o**(-12/11)*o) assuming o is positive.
o**(51/319)
Simplify z**(-9)/z**(-1/4)*(z**2*z*z)**37 assuming z is positive.
z**(557/4)
Simplify (b/(b*b/b**0*b))**(8/9)/((b*b**(-2/37))/b**5) assuming b is positive.
b**(758/333)
Simplify ((f*f**5)/(f/(f/(f*f*f**(1/10)))))**25 assum
|
{
"pile_set_name": "DM Mathematics"
}
|
d -40/39591.
3721554
Calculate the smallest common multiple of 104148 and 1952775.
7811100
What is the common denominator of 31/963 and -131/2565126?
274468482
Calculate the common denominator of 7/265355 and -16/411.
109060905
What is the lowest common multiple of 145 and 3466145?
100518205
Calculate the least common multiple of 2097061 and 27261793.
27261793
Calculate the least common multiple of 103 and 566759.
58376177
What is the least common multiple of 497580 and 1990320?
1990320
Calculate the least common multiple of 22971588 and 11265.
114857940
What is the smallest common multiple of 39518 and 47822?
944914898
What is the smallest common multiple of 19627936 and 512?
314046976
Calculate the smallest common multiple of 4925014 and 131724.
88650252
Calculate the common denominator of -34/39 and -11/219348.
2851524
What is the least common multiple of 110986650 and 40695105?
1220853150
What is the common denominator of 13/16697100 and 19/8?
33394200
Calculate the smallest common multiple of 1130649 and 9299.
19221033
Calculate the common denominator of -167/215220 and -17/664650.
22598100
Calculate the least common multiple of 42 and 308.
924
Find the common denominator of 10/525256653 and 16/821655.
7878849795
Calculate the smallest common multiple of 44048 and 227.
9998896
Find the common denominator of 32/1539 and -67/117048.
60045624
What is the least common multiple of 2072 and 7569228?
3920860104
What is the common denominator of 8/4374675 and -23/8749350?
8749350
Calculate the common denominator of 43/348 and -57/57536.
172608
Calculate the least common multiple of 4428000 and 10260.
84132000
Calculate the lowest common multiple of 50 and 2979356.
74483900
Calculate the common denominator of 39/22615919 and -49/9.
203543271
What is the least common multiple of 1134562 and 14749306?
14749306
Calculate the least common multiple of 2938103 and 5.
14690515
What is the lowest common multiple of 6365094 and 25460376?
25460376
What is the common denominator of 53/1345890 and 32/5655?
1345890
What is the smallest common multiple of 36325 and 1082485?
5412425
What is the common denominator of 101/880 and 181/47005440?
517059840
What is the common denominator of 85/264 and 29/6138440?
18415320
Calculate the lowest common multiple of 1733304 and 36.
5199912
Calculate the smallest common multiple of 61910902 and 1324.
123821804
Calculate the common denominator of -87/15602678 and -97/126.
140424102
Calculate the common denominator of 75/892 and 11/84028.
18738244
Find the common denominator of 25/6171 and -56/109939.
39907857
Find the common denominator of -27/438265 and 117/464324.
85899940
Find the common denominator of -69/161078 and -149/342.
27544338
Calculate the common denominator of -27/164008 and -77/936.
1476072
What is the least common multiple of 7720 and 2178?
8407080
What is the lowest common multiple of 76381440 and 480?
76381440
Calculate the least common multiple of 97603818 and 42.
683226726
What is the lowest common multiple of 300519 and 24041520?
24041520
Calculate the least common multiple of 1608 and 14318436.
28636872
What is the common denominator of 91/859212 and -7/18486?
882410724
Calculate the common denominator of -67/1743414 and 107/11041622.
33124866
What is the common denominator of -35/329052 and 41/1590418?
9542508
Calculate the lowest common multiple of 280 and 18288.
640080
Calculate the common denominator of -103/1055786 and 73/18476255.
36952510
Calculate the common denominator of -131/170 and -29/222746.
18933410
Find the common denominator of 34/158516401 and 61/471074.
317032802
Calculate the common denominator of -47/942804 and 133/234.
12256452
Calculate the least common multiple of 3212252 and 1649.
3212252
What is the common denominator of 34/7839 and 83/1998945?
1998945
Calculate the common denominator of -111/161357870 and -9/58516.
322715740
Calculate the common denominator of 53/1584914 and 51/1522076.
345511252
What is the least common multiple of 33 and 4539441?
49933851
Find the common denominator of -131/360 and -49/217044.
2170440
Calculate the lowest common multiple of 182260 and 380055.
1065674220
Calculate the least common multiple of 19833 and 3551910.
39071010
Find the common denominator of 7/3405 and -37/8415.
1910205
What is the least common multiple of 23230 and 6356?
73824940
Calculate the least common multiple of 9222 and 3732.
5736084
Find the common denominator of -35/2 and -77/116656.
116656
What is the common denominator of -7/419465 and -19/87795?
3775185
Calculate the lowest common multiple of 45 and 14589010.
131301090
Calculate the smallest common multiple of 8 and 24425585.
195404680
Calculate the least common multiple of 13722 and 2369.
32507418
Find the common denominator of 93/3520 and -69/28772480.
28772480
What is the common denominator of -49/1494 and 125/17784?
1476072
What is the least common multiple of 113400 and 4900?
793800
Find the common denominator of -191/72527910 and -61/1637727.
507695370
Find the common denominator of 21/24572960 and -133/11990.
270302560
What is the lowest common multiple of 17216946 and 47?
17216946
Calculate the least common multiple of 4500630 and 376052640.
3384473760
Find the common denominator of -169/12078 and -48/7991.
1582218
Calculate the common denominator of 85/48 and 32/2450379.
39206064
What is the common denominator of -107/18330900 and -95/1218?
18330900
Calculate the common denominator of 115/50118894 and 29/47334511.
852021198
What is the common denominator of -77/453876 and -71/15528?
587315544
Find the common denominator of -29/8 and 34/605950407.
4847603256
Calculate the smallest common multiple of 3540000 and 14750.
3540000
What is the common denominator of 49/218773 and -9/1514?
437546
Calculate the lowest common multiple of 13945596 and 142302.
13945596
What is the smallest common multiple of 506300 and 8961510?
89615100
What is the least common multiple of 3416316 and 353412?
10248948
What is the least common multiple of 397551 and 469833?
5168163
Calculate the smallest common multiple of 23856112 and 659616.
143136672
Find the common denominator of 10/103 and 1/12635129.
1301418287
What is the lowest common multiple of 179874 and 11611866?
104506794
Calculate the least common multiple of 51677 and 216710.
6718010
Calculate the smallest common multiple of 5914760 and 242770.
65062360
Calculate the common denominator of -28/15441 and 95/732.
3767604
What is the common denominator of -57/1386248 and 71/8480576?
144169792
Calculate the least common multiple of 1416 and 279616.
49492032
What is the common denominator of -68/367191 and -40/32679999?
32679999
Calculate the lowest common multiple of 18 and 71478.
71478
What is the common denominator of -101/7267300 and 64/35?
50871100
Calculate the lowest common multiple of 3974248 and 1480.
735235880
What is the least common multiple of 49978330 and 1588?
99956660
What is the least common multiple of 3828 and 6670812?
73378932
Calculate the smallest common multiple of 113274 and 1651608.
51199848
What is the common denominator of -143/13928088 and -125/66?
153208968
Calculate the common denominator of 89/26419432 and -53/44.
290613752
Find the common denominator of -62/22725 and 199/6202410.
93036150
Find the common denominator of -123/3967760 and 73/99194.
3967760
What is the common denominator of -139/1239294 and 79/7272699?
276362562
Find the common denominator of 32/1006635 and 45/2842.
408693810
Calculate the common denominator of -61/47360 and 109/63104.
23348480
Calculate the common denominator of -127/38097840 and -37/2640.
38097840
What is the common denominator of 95/24048 and -53/1325980?
47735280
Find the common denominator of 67/9666952 and 28/95461151.
763689208
Find the common denominator of -31/21187837 and 34/48154175.
529695925
What is the common denominator of 91/1763120 and 149/3270?
576540240
Find the common denominator of -33/11855 and 73/531104.
2655520
What is the least common multiple of 832818 and 16566?
9160998
What is the least common multiple of 56 and 38730184?
271111288
What is the least common multiple of 27320370 and 6?
27320370
Find the common denominator of -107/13875000 and 149/83250.
41625000
Find the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
e (-12)/(-28) - 1/((-14)/610). Let x = z + -41. Suppose i = -x*i + 400. Round i to the nearest 1000.
0
Let h = -726.237 - -1.237. Let b = 486 + h. Let w = -238.9999887 - b. Round w to six dps.
0.000011
Let j = -8 + 8.018. Let u = 0.039 + j. Let y = u - 0.05753. Round y to four decimal places.
-0.0005
Let i = -0.146977 + 0.078594. Round i to three decimal places.
-0.068
Let c = -274.3 - -274.3050197. Round c to 3 dps.
0.005
Let x = -185.5 - 847.5. Let h = -1033.00000633 - x. What is h rounded to 7 decimal places?
-0.0000063
Let r = 8535905 - 12105905. Round r to the nearest 100000.
-3600000
Suppose 212 = 6*i + 236. Let j be 0 + (3/i - 105599/(-52)). What is j rounded to the nearest 100?
2000
Let a = 540 - 540.0000010043. Round a to seven decimal places.
-0.000001
Let d = -2371.804334923 + 1026971.434338323. Let v = d + -1024600. Let g = 0.37 + v. Round g to six dps.
0.000003
Let x = -3744.78 - -3018.4. Round x to the nearest 100.
-700
Suppose r - 11 = 60*j - 59*j, -5*j = 0. Suppose 54*b - r*b = -43817000. What is b rounded to the nearest 10000?
-1020000
Let h = -6054 - -6161.849. Round h to the nearest ten.
110
Let o = -34.3128 - -0.0128. Let x = 57.6 + o. Round x to the nearest integer.
23
Let v = 21893.9 - 21894.91083. Let z = 1.85 - 0.84. Let n = v + z. Round n to 4 dps.
-0.0008
Let k = -46 + 43.9. Let i = -51.9 + k. Let r = 54.0318 + i. What is r rounded to three dps?
0.032
Let c = -0.53 - -14.03. Let q = c - 17. Let g = -4.4 - q. What is g rounded to zero decimal places?
-1
Let b = -806 + 805.1056. Let q = b + 0.836. Round q to two decimal places.
-0.06
Suppose q + 5*s + 20 = 0, 5*q + 24 - 8 = -4*s. Suppose 0 = -q*d + 6*d + 24360000. What is d rounded to the nearest 100000?
-4100000
Let a = -4731 - -4702.25. What is a rounded to 0 dps?
-29
Suppose 8*k = -43829475 + 2181579. Let o = -3419987 - k. Round o to the nearest one hundred thousand.
1800000
Let m(a) = -260*a - 24. Let q be m(-3). Suppose u - 1924 = q. Suppose -413 = 4*j - 4*h + 2267, -u = 4*j - 2*h. Round j to the nearest 1000.
-1000
Let o = -112.1 + 109.607. What is o rounded to 0 dps?
-2
Let t = -343.0777 - -0.0777. Let q = -342.722 - t. Round q to 1 decimal place.
0.3
Let u = 485081 + -485192.9966. Let i = 110.2 - -1.8. Let s = i + u. Round s to 3 dps.
0.003
Let b = 819 - 464. Let j = b + -128. What is j rounded to the nearest 10?
230
Suppose p = -3*p + 848. Let l = -2262 - -2266. Suppose -l*g = -2*q - p, -3*q - 4*g - 388 = q. What is q rounded to the nearest one thousand?
0
Let z = -0.21 - -15.01. Let o = 14.29 - z. Round o to 1 decimal place.
-0.5
Let d = 166786.881 - 166782.96099989. Let k = d + -3.92. What is k rounded to six decimal places?
0
Suppose 2*l = x + 48, 5*x + 58 = 2*l + l. Let a be -7 - -1 - (l - 723032). Round a to the nearest one hundred thousand.
700000
Let a = -67482.11 - -67184. What is a rounded to the nearest ten?
-300
Let p = -13.2551 + 9.809. What is p rounded to 2 dps?
-3.45
Let s = -2690.353049 + 0.053049. What is s rounded to the nearest 100?
-2700
Let i = -2526.9999995315 + 2527. Round i to seven decimal places.
0.0000005
Let w = 217.2 - 315. Let k = w + -67. Round k to the nearest 10.
-160
Let r = 0.129184 + -0.13036. Round r to four decimal places.
-0.0012
Let u = -29.71 - -29.709999591. What is u rounded to seven decimal places?
-0.0000004
Let o = -2.447 + 2.38. Let n = -1295.27580071 - -1295.3428. Let r = n + o. Round r to six dps.
-0.000001
Let f = 56.87897 - -0.04103. What is f rounded to the nearest ten?
60
Let h = 13641 - 13641.00006547. What is h rounded to 6 dps?
-0.000065
Let o = 0.041557 + -0.084128. Round o to two decimal places.
-0.04
Let w = -1147415.713495551 + 1147329.73401. Let x = -0.020670449 + w. Let b = x - -86. What is b rounded to five dps?
-0.00016
Let b(g) = 435*g**3 + 5*g**2 - 32*g + 9. Let y be b(7). Suppose -y + 685635 = -9*w. Round w to the nearest one thousand.
-60000
Let h be -5 - -5 - (4 + -8). Suppose -1868 = 2*n + 3*x, 6*x = -h*n + x - 3732. Round n to the nearest 10.
-930
Let i = 519.8 + -519.79957075. Round i to five decimal places.
0.00043
Let p be 3 - ((-37)/(-3))/(1 - (-23734048)/(-23734056)). Round p to the nearest one million.
-37000000
Let h = 562 + -562.1083. Let f = 0.12834 + h. Let w = f + -0.02. What is w rounded to five dps?
0.00004
Let u = -2016 - 675. Let r = 2690.98807 + u. What is r rounded to three dps?
-0.012
Let w = -0.2586522 + 0.08866. Let c = -0.51 - -0.34. Let u = c - w. Round u to six decimal places.
-0.000008
Let g = 92 + 390. Let q = -482.0489 + g. What is q rounded to two decimal places?
-0.05
Let f = -574282975.9260681 - -574282943. Let x = f + 0.9260761. Let h = x + 32. What is h rounded to 5 decimal places?
0.00001
Let f(y) = y**2 - 16*y + 23. Let g be f(15). Suppose 5*q + g = 7*q. Suppose -8*r - 10 = -3*r, -q*r - 13008 = t. Round t to the nearest ten thousand.
-10000
Let p = -577518116.299198047 + 577518116. Let i = p - -0.2992. Round i to 7 decimal places.
0.000002
Let r = 0.5863 + 0.1107. Let k = 133.4 + -131.817. Let n = k - r. Round n to 1 dp.
0.9
Let i = 0.38269 - 675.43269. What is i rounded to the nearest one hundred?
-700
Let s = 42972 + -42971.9999942206. What is s rounded to seven dps?
0.0000058
Suppose 8*w = 5*w + 864. Let y = w - 423. What is y rounded to the nearest ten?
-140
Let z = 944.843312 + -1368.5418. Let j = -293.698627 - z. Let r = -130 + j. Round r to 5 decimal places.
-0.00014
Let i = 8811 + -376. What is i rounded to the nearest one thousand?
8000
Let i = 72.7 - 66. Let v = 2.168172 - 8.8687. Let o = v + i. What is o rounded to four decimal places?
-0.0005
Let t = -3.0175 + 3.0194455. What is t rounded to 4 decimal places?
0.0019
Let s = 24729 + -63312. Let u = 130783 + s. What is u rounded to the nearest one thousand?
92000
Let y(g) be the third derivative of 294688*g**4/3 - 8*g**3/3 - 2*g**2 + 43. Let o be y(4). Round o to the nearest 1000000.
9000000
Let u(h) = -h**3 + 41*h**2 - 75*h - 25. Let a be u(36). Let p = a + -2185. Round p to the nearest 1000.
2000
Let b = -315 + 214. Let g = b + 101.0294. Let k = g - 0.053. Round k to three dps.
-0.024
Suppose -4*u + 2*h = 65391 + 130965, 2*h - 147267 = 3*u. Let c = u + -420911. What is c rounded to the nearest ten thousand?
-470000
Let x = -37.67 - -19.57. Let m = -1583682455 + 1583682436.89999726. Let o = m - x. Round o to 7 decimal places.
-0.0000027
Let s = -3392.9994553 + 3393. Round s to 5 dps.
0.00054
Let u = -7.45 - 52.28. Let w = u - -5.33. Round w to the nearest 10.
-50
Let m be 22/6 - 4/6. Let t = 0 - 0. Suppose 0 = -2*u - t*k - k - 17804, m*u = 5*k - 26680. What is u rounded to the nearest one thousand?
-9000
Suppose 2*g + 11 = -2*o - 1, -4*g = -2*o - 6. Let l(w) = -2587697*w + 2. Let f be l(g). Let b = f - 1787699. Round b to the nearest one million.
1000000
Let j = 12962 - 12561.1. Round j to the nearest 1000.
0
Let u = 117 - 117.146. Let g = u + 0.399. What is g rounded to 2 decimal places?
0.25
Let l = -515947 + 515920.4143. Let s = -0.361 - 26.239. Let b = l - s. Round b to 3 dps.
0.014
Let x = 849 + -465. Let y = x - 850. Let v = y - -465.9501. Round v to two decimal places.
-0.05
Let w be 5/5*(-104389)/(-1). Suppose -22*q - w = 30691. What is q rounded to the nearest 1000?
-6000
Let c = 8631 - 8630.9994345. What is c rounded to five dps?
0.00057
Suppose 0 = -4*q - 4*y - 165552, -4*q - 111331 = y + 54227. What is q rounded to the nearest 10000?
-40000
Let c = -1021.87556 + -0.22444. Round c to the nearest 100.
-1000
Let k = 222.249995333 - 222.25. What is k rounded to 6 dps?
-0.000005
Let v = 223 + -176. Let u be -450*(0 - (v/3 + 1)). What is u rounded to the nearest 1000?
8000
Let b = -154.6 + 150. Let y = -8.6 + 0.6. Let r = y - b. What is r rounded to 1 decimal place?
-3.4
Let c = -53.908422 - -53.91. What is c rounded to 4 decimal places?
0.0016
Let f = 1225000 - 554400. What is f rounded to the nearest 100000?
700000
Let q = -50633.29193804355 + 0.31594704355. Let y = q + 50633. Let w = -0.024 + y. Round w to five decimal places.
0.00001
Let b = 48115933 + -32358933. What is b rounded to the nearest 1000000?
16000000
Let r = 1.31 + -4.22. Let k = r - -2.90999896. Round k to six decimal places.
-0.000001
Let n = -37205 - -38082.49. Let m = n - 927. What is m rounded to zero decimal places
|
{
"pile_set_name": "DM Mathematics"
}
|
4*n for n.
0
Solve 121*y + 110 = 143*y for y.
5
Solve 62 = h + 59 for h.
3
Solve 28*d - 180 - 44 = 0 for d.
8
Solve -4*z + 42 - 50 = 0 for z.
-2
Solve -26 = -16*f + 38 for f.
4
Solve 33*h + 49 + 50 = 0 for h.
-3
Solve 19 - 62 = 43*z for z.
-1
Solve 7 = 31*b - 30*b for b.
7
Solve -14*f - 6 = -15*f for f.
6
Solve -20*g = -85*g - 195 for g.
-3
Solve -30*o + 31 = 151 for o.
-4
Solve -27*p + 58 = 2*p for p.
2
Solve -17*s = -34*s - 119 for s.
-7
Solve 3*j + 9 = 6 for j.
-1
Solve 0 = -20*y + 15*y - 15 for y.
-3
Solve 5 = 15*m + 5 for m.
0
Solve -6*c - 37 = -1 for c.
-6
Solve -43*k = 9 + 77 for k.
-2
Solve 35*o + 36 - 211 = 0 for o.
5
Solve -171*k = -215*k - 484 for k.
-11
Solve 3*h = 27 - 42 for h.
-5
Solve 1534*b - 25 = 1529*b for b.
5
Solve 64*t = 162 + 222 for t.
6
Solve -4*q + 1 + 3 = 0 for q.
1
Solve 22*m + 53 + 57 = 0 for m.
-5
Solve 12 = -40*c + 52 for c.
1
Solve -21*j + 25*j + 12 = 0 for j.
-3
Solve 25*c - 28 = 18*c for c.
4
Solve 355*r = 373*r - 18 for r.
1
Solve 10*j = 35*j + 50 for j.
-2
Solve 0 = 157*q - 171*q + 42 for q.
3
Solve -26*z - 12 - 170 = 0 for z.
-7
Solve 12*b - 111 + 3 = 0 for b.
9
Solve -13*n = -11 + 24 for n.
-1
Solve 69*d + 248 = 731 for d.
7
Solve -41*q = -36*q + 25 for q.
-5
Solve 3 + 0 = n for n.
3
Solve 257 = -6*v + 275 for v.
3
Solve 0 = 8*y + 7*y + 90 for y.
-6
Solve -20*s - 214 = -334 for s.
6
Solve 0 = 736*s - 727*s + 9 for s.
-1
Solve -15 = -24*k + 27*k for k.
-5
Solve 156*p - 148*p + 32 = 0 for p.
-4
Solve -72*x = -85*x + 130 for x.
10
Solve -53 = -33*l + 178 for l.
7
Solve 0 = -23*i + 28*i for i.
0
Solve 4*l - 12 + 4 = 0 for l.
2
Solve -4 - 6 = -2*s for s.
5
Solve -34*k - 75*k = 109 for k.
-1
Solve 8 = 5*g + 3 for g.
1
Solve 0 = 19*x - 9*x + 30 for x.
-3
Solve -3*t = 2 + 7 for t.
-3
Solve -15*o = -27*o - 36 for o.
-3
Solve 13*b + 1 = 14*b for b.
1
Solve -3*w + 99 = 87 for w.
4
Solve -2*t - 13*t = 30 for t.
-2
Solve -61*m - 47 - 14 = 0 for m.
-1
Solve 12*c - 8 = 28 for c.
3
Solve -6*f + 40 = 16 for f.
4
Solve -61*u + 68*u + 56 = 0 for u.
-8
Solve 1295*v - 1286*v - 9 = 0 for v.
1
Solve 714*k - 15 = 711*k for k.
5
Solve 2*b - 34*b + 32 = 0 for b.
1
Solve -3*h - 11*h = -2*h for h.
0
Solve -7 = -2*c - 3 for c.
2
Solve -436 = 5*d - 401 for d.
-7
Solve -6 = -5*p + 19 for p.
5
Solve 23*i - 20 = 49 for i.
3
Solve 6*n - 50 = -80 for n.
-5
Solve 145*i - 133*i - 60 = 0 for i.
5
Solve 0 = 7*t + 24 - 10 for t.
-2
Solve 0 = 640*c - 636*c + 12 for c.
-3
Solve 54 = 8*j + 14 for j.
5
Solve -661 = -3*g - 688 for g.
-9
Solve -60*t + 65*t + 35 = 0 for t.
-7
Solve 6*s + 11*s = -85 for s.
-5
Solve -19*w - 29*w = -38*w for w.
0
Solve -10 = -3*g + 8*g for g.
-2
Solve 403 = -27*i + 430 for i.
1
Solve 40*g - 23*g + 68 = 0 for g.
-4
Solve 297 = -9*f + 225 for f.
-8
Solve -3 = 4*w - w for w.
-1
Solve -63*y + 61*y = 6 for y.
-3
Solve 14*f = 16*f + 6 for f.
-3
Solve -16 + 12 = l for l.
-4
Solve -5*o = -56 + 26 for o.
6
Solve -6*n - 22 + 52 = 0 for n.
5
Solve 0 = -39*g - 23 - 211 for g.
-6
Solve 0 = -17*g + 78 - 44 for g.
2
Solve -3*z = -10*z - 6*z for z.
0
Solve -26*d + 12 + 14 = 0 for d.
1
Solve 5*p - 68 + 38 = 0 for p.
6
Solve 1 = 12*g + 1 for g.
0
Solve 3*t = -25*t + 84 for t.
3
Solve -30 - 14 = -11*r for r.
4
Solve 0 = -17*m + 563 - 614 for m.
-3
Solve -4*d + 0*d = 7*d for d.
0
Solve -55*n = -62*n for n.
0
Solve 0 = -7*r + 28 - 7 for r.
3
Solve 485*y = 486*y + 5 for y.
-5
Solve 53*g - 106 - 212 = 0 for g.
6
Solve -137*u = -132*u + 40 for u.
-8
Solve 13*i = 7 - 46 for i.
-3
Solve 3*w + 5 = 20 for w.
5
Solve 39 = -18*g + 21 for g.
-1
Solve 45 = -429*i + 420*i for i.
-5
Solve -50*i + 45*i + 30 = 0 for i.
6
Solve 7*q = -0 + 7 for q.
1
Solve 0 = -8*g + 19*g + 33 for g.
-3
Solve g + 10 = 11*g for g.
1
Solve -11*w - 10 = 34 for w.
-4
Solve -27*u - 77 = 139 for u.
-8
Solve 10*f + 32 = 18*f for f.
4
Solve 101*u - 146*u = 90 for u.
-2
Solve 27*q - 195 = -12*q for q.
5
Solve 3*t = t for t.
0
Solve -58 + 226 = 84*y for y.
2
Solve 2*s = -3*s + 15 for s.
3
Solve 0 = -f - 902 + 897 for f.
-5
Solve -8*h + 16 = -0*h for h.
2
Solve 30 = 9078*t - 9088*t for t.
-3
Solve 20 = 14*q - 10*q for q.
5
Solve 0 = -198*o + 186*o + 72 for o.
6
Solve -8*x = -7*x + 3 for x.
-3
Solve -17*x - 88 = -28*x for x.
8
Solve 0 = l - 2 + 3 for l.
-1
Solve -2*t + 431 = 441 for t.
-5
Solve 3*n + 178 = 169 for n.
-3
Solve -t + 164 = 167 for t.
-3
Solve -10*z = -17*z - 35 for z.
-5
Solve -8*w - w - 45 = 0 for w.
-5
Solve 15 = 2*n + 5 for n.
5
Solve -14*q + 90 = 4*q for q.
5
Solve 0 = -25*x - 26 + 1 for x.
-1
Solve -6*j = -46*j - 200 for j.
-5
Solve -9*w = 3*w - 5*w for w.
0
Solve 78 = -7*u + 78 for u.
0
Solve -48*k = -33*k + 45 for k.
-3
Solve 0 = -8*i + 148 - 156 for i.
-1
Solve -157 = 6*d - 127 for d.
-5
Solve 28*s + 66 = -46 for s.
-4
Solve 3*m + m - 20 = 0 for m.
5
Solve 32 = -14*z + 18 for z.
-1
Solve -4*h + 28 = 36 for h.
-2
Solve 8*b - 48 = 24 for b.
9
Solve -12*i + 1 + 35 = 0 for i.
3
Solve -6*l = 3*l + 18 for l.
-2
Solve -84*t - 544 - 44 = 0 for t.
-7
Solve 0 = 51*u + 4 + 47 for u.
-1
Solve -12*f + 16 + 8 = 0 for f.
2
Solve -3*i + 27 = 6*i for i.
3
Solve 245*a = 257*a - 96 for a.
8
Solve 6 = 29*l - 32*l for l.
-2
Solve 10*k + 69 = 33*k for k.
3
Solve 0 = -57*t + 50*t for t.
0
Solve -13*k - 26 = 26 for k.
-4
Solve 1031*g - 24 = 1007*g for g.
1
Solve -151*h = -143*h - 64 for h.
8
Solve 0 = d - 23 + 19 for d.
4
Solve 0 = 37*h - 41*h + 20 for h.
5
Solve 0 = 35*p + 123 + 192 for p.
-9
Solve 5 = -5*n + 5 for n.
0
Solve -47*h + 36*h = 0 for h.
0
Solve 23 = -5*d + 28*d for d.
1
Solve 9*a = 111 - 30 for a.
9
Solve 2*t = 3*t + 1 for t.
-1
Solve 7*t = -14 - 14 for t.
-4
Solve 8*k + 23 = -1 for k.
-3
Solve 48*f - 147 = -3 for f.
3
Solve s + 5 = 2 for s.
-3
Solve 10*a = -7*a - 119 for a.
-7
Solve 0 = 11*k - 14 - 30 for k.
4
Solve 5*u - 34 = -29 for u.
1
Solve 4*o + 9 + 19 = 0 for o.
-7
Solve -4*s - 8 = 12 for s.
-5
Solve -64 = -10*t - 124 for t.
-6
Solve -15*a = -31*a - 48 for a.
-3
Solve 0 = 2*h + 66 - 70 for h.
2
Solve 18 = -13*n + 57 for n.
3
Solve 113 = 4*y + 129 for y.
-4
Solve -234*v + 233*v + 1 = 0 for v.
1
Solve 38*o - 318 = 24 for o.
9
Solve 0 = 10*u + 66 - 26 for u.
-4
Solve 42 - 62 = -4*b for b.
5
Solve -29 = -12*o - 41 for o.
-1
Solve 29203 = 9*s + 29149 for s.
6
Solve 0 = 55*x - 76*x - 21 for x.
-1
Solve -5*b - 23 = -8 for b.
-3
Solve 167*c - 72 = 155*c for c.
6
Solve -15 = 123*q - 120*q for q.
-5
Solve -5*n = 28 - 38 for n.
2
Solve -28*v - 126 = -7*v for v.
-6
Solve 5*i = -2*i + 7 for i.
1
Solve 1 = -3*b - 5 for b.
-2
Solve 0 = -52*g + 47*g for g.
0
Solve 0 = -4*g - 4 for g.
-1
Solve 357*z - 362*z = -5 for z.
1
Solve 0 = -5*v + 20 + 5 for v.
5
Solve 0 = 11*b - 46 - 9 for b.
5
Solve 0 = 98*d - 101*d + 6 for d.
2
Solve 68*x = 72*x + 12 for x.
-3
Solve -5*i - 42 = -17 for i.
-5
Solve -8*c - 30 = 2 for c.
-4
Solve 0 = -195*s + 190*s - 5 for s.
-1
Solve -6 = 170*d - 173*d for d.
2
Solve 33 = -11*i - 33 for i.
-6
Solve -59 = 106*i + 259 for i.
-3
Solve 3*t - 631 = -625 for t.
2
Solve -92*f + 81*f - 33 = 0 for f.
-3
Solve 12 - 67 = -11*m for m.
5
Solve 120*q = 122*q + 10 for q.
-5
Solve 0 = 792*i - 782*i - 10 for i.
1
Solve 0 = -2*y + 4*y + 6 for y.
-3
Solve -11*g - 127 = -61 for g.
-6
Solve -140 = 24*x + 28 for x.
-7
Solve 15*j = 249 - 354 for j.
-7
Solve -15 = -4*a - 11 for a.
1
Solve 21 = 16*c - 23*c for c.
-3
Solve -70*z + 69*z + 1 = 0 for z.
1
Solve c + 13*c = -5*c for c.
0
Solve 3*u - 42 = 17*u for u.
-3
Solve -5*g + 177 = 177 for g.
0
Solve 6 = 3*y + 18 for y.
-4
Solve -33 = -58*r + 47*r for r.
3
Solve -7*i + 3*i + 16 = 0 for i.
4
Solve 2 - 12 = -5*d for d.
2
Solve -19 = -b - 23 for b.
-4
Solve -26*r + 128 + 54 = 0 for r.
7
Solve 0 = 8*n - 18*n - 40 for n.
-4
Solve 65 = 4*t + 77 for t.
-3
Solve 7*h + 698 - 649 = 0 for h.
-7
Solve 0 = -6*i + 34 - 64 for i.
-5
Solve 3*b = -6 + 12 for b.
2
Solve -36*c - 100 + 316 = 0 for c.
6
Solve -496*i + 509*i = -39 for i.
-3
Solve 0 = -189*a + 172*a - 34 for a.
-2
Solve d = -3*d - 12 for d.
-3
Solve 16 + 15 = -31*j for j.
-1
Solve 206*g - 201*g + 30 = 0 for g.
-6
Solve -43*y = -64*y + 84 for y.
4
Solve 62 = -11*w + 117 for w.
5
Solve -6*p - 22 = 8 for p.
-5
Solve 0 = 3*y + 6 + 9 for y.
-5
Solve -4 = 8*x + 28 for x.
-4
Solve 8*z = 7*z + 3 for z.
3
Solve -4*w - 66 = -54 for w.
-3
Solve 11*b + 250 - 206 = 0 for b.
-4
Solve -13*q + 19*q -
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - (-28 - -26). Calculate the greatest common factor of l and 128.
16
Let j = 9 - 3. Suppose -3*i = -3*b - 5 - 19, 0 = -2*i - 2*b + 8. Calculate the highest common factor of j and i.
6
Let r(a) = a - 1. Let q be r(5). What is the highest common divisor of q and 36?
4
Let o(b) = b**3 - 7*b**2 + 4. Let q be o(7). Suppose 488 = -4*v - 4*t, -v + 394 = -q*v + 4*t. Let a = -78 - v. What is the highest common factor of 6 and a?
6
Let g(l) be the first derivative of 13*l**3/3 - l - 4. Let u be g(-1). Calculate the greatest common divisor of 6 and u.
6
Let z(o) = 3*o + 36. Let d be z(-10). What is the highest common divisor of d and 24?
6
Suppose -75 = -2*b + 21. What is the highest common factor of b and 32?
16
Suppose -2*w - 4*p + 487 = 121, 9 = 3*p. Let y = w - 34. Calculate the greatest common divisor of y and 13.
13
Let h(q) = q**3 + q**2 + 2*q + 2. Let p be h(2). Calculate the highest common divisor of p and 90.
18
Let p be 60/35*(23 - 2). Calculate the highest common factor of 27 and p.
9
Suppose 3*k - 2*k + 16 = 0. Let c = -34 + 60. Let d = c + k. Calculate the greatest common factor of 20 and d.
10
Suppose c - 9 + 65 = 3*j, -2*j - 3*c = -52. Let d be (0 + 2)*(-4)/(-1). What is the greatest common divisor of j and d?
4
Let i be -11*(2 - (2 - 1)). Let z = -7 - i. Let k be 1*(-2)/(z/(-162)). Calculate the greatest common factor of 9 and k.
9
Let o be (1/2)/((-1)/(-24)). Calculate the greatest common divisor of o and 132.
12
Suppose -3*k = -3*z + 339, -3*k + 147 = 4*z - 298. Calculate the highest common factor of 16 and z.
16
Let t = 275 - 215. Calculate the greatest common factor of t and 12.
12
Let c be 4/6 + 68/6. Suppose 268 = 2*d + z, 0 = -6*d + 2*d - 5*z + 548. Calculate the greatest common factor of c and d.
12
Let m(l) = -l**3 + 10*l**2 + l - 13. Let q be m(9). Calculate the greatest common divisor of q and 11.
11
Suppose -5*f + 3*f = -5*u + 25, 2*u + 2*f = -4. Suppose -4*l = 3*b + 29, -u*b - 3*l - 24 = -0*b. Let w = b - -5. What is the greatest common factor of w and 14?
2
Suppose -2*o + 14 = -5*z, -4*o - 2*z + 72 = -z. Let i = -18 - -35. Calculate the highest common divisor of o and i.
17
Let q = 99 - 47. What is the greatest common divisor of 39 and q?
13
Suppose -2*i - 3*d + 16 = -0*d, -3*i + 2*d + 24 = 0. Let y = i - 3. Let l be ((-8)/(-12))/(4/12). Calculate the greatest common divisor of y and l.
1
Let i(d) = -11*d + 1. Let v be (3/4)/((-1)/8). Let m be (-10)/3*v/(-5). Let z be i(m). What is the highest common factor of 5 and z?
5
Let g be ((-2)/3)/(2/(-15)). Suppose -56 = g*p - 7*p. Calculate the greatest common factor of 112 and p.
28
Suppose 0 = -2*p + 2 + 4. Let x be (16/p)/(32/144). What is the highest common divisor of 48 and x?
24
Suppose -z = 2*z - 9. Suppose 5*p - 3*y - 20 = 4, z*p + 4*y = 26. Suppose -c + p*c = 210. Calculate the highest common factor of c and 6.
6
Let n = 9 - 0. Suppose 4*u = u + 420. Let h = -95 + u. What is the greatest common factor of n and h?
9
Let m(j) = j**3 + 9. Let o = 8 - 8. Let s be m(o). Calculate the greatest common factor of 63 and s.
9
Let w be (1 + -3)/((-13)/156). Let h be 481/4 - (-2)/(-8). What is the highest common factor of w and h?
24
Suppose 0*b + 64 = 2*b. Suppose -38 = -5*r + b. Calculate the greatest common divisor of 70 and r.
14
Let m be 3/4 - (-332)/(-16). Let t = -10 - m. What is the highest common divisor of 90 and t?
10
Let m(j) = j**3 + 9*j**2 + 3*j - 21. Let x be m(-7). Calculate the greatest common factor of 42 and x.
14
Suppose a + 2*a - 27 = 3*z, z = 4*a - 30. Let c be (-1)/((-1)/28 - 0). Calculate the greatest common factor of c and a.
7
Suppose 2*y = 2*r + 16, 5*y - 35 = -5*r + 35. Let l be 196/6 + 1/3. What is the greatest common factor of l and y?
11
Let s = -1 + 4. Let v be 723/9 - 1/s. What is the highest common divisor of 10 and v?
10
Suppose -g + 1 = -1. Suppose g*k - 42 = -k. Let r = 67 + k. What is the highest common factor of 9 and r?
9
Let a = -15 + 27. What is the greatest common factor of a and 2?
2
Suppose -2*j = 2*i + 2*i - 60, 3*i = -4*j + 110. Let v be 0 + 2 + 18/2*7. What is the greatest common factor of j and v?
13
Let k(g) = -g**2 - 3*g - 1. Let x be k(-2). Let o be (2/x)/(6/87). Suppose 3*j = l + o, 42 + 8 = 5*j - 2*l. What is the greatest common factor of j and 64?
8
Suppose 3*p + 5*h = 444, -5*p - 2*h + 1062 = 341. Suppose 0 = -4*c + 2*l + p - 7, -l = 4*c - 136. Calculate the highest common factor of 51 and c.
17
Let q = 79 + 71. What is the highest common divisor of 30 and q?
30
Let w(b) be the second derivative of b**5/20 - b**4/6 + b**3/3 - b**2/2 - 4*b. Let c be w(3). Calculate the highest common factor of c and 14.
14
Let r = -40 - -45. What is the greatest common factor of 15 and r?
5
Let d(g) = -g - 2. Let q = -13 - -6. Let h be d(q). What is the highest common factor of 35 and h?
5
Let p be 23*20*(-36)/(-90). What is the highest common factor of 23 and p?
23
Let l = 60 - 36. Calculate the greatest common divisor of l and 60.
12
Let d(t) = t**2 + 3*t - 7. Let p be d(3). Let c(g) = g + 3. Let f be c(0). Let w = p + f. Calculate the highest common factor of 35 and w.
7
Let m(g) = 3*g**2 - 4*g + 1. Let l be m(3). Let x = -12 + l. What is the highest common divisor of x and 16?
4
Let c = 43 - 38. Calculate the greatest common factor of 65 and c.
5
Let t = 4 + -4. Suppose -4*q + 32 + 100 = t. Calculate the greatest common factor of 3 and q.
3
Suppose 4*s - 767 = -5*v, -v = -6*v - 25. What is the highest common divisor of 22 and s?
22
Let n(s) = s + 1. Let l be n(-1). Suppose 0 = -l*a + 2*a - 2. Let o(f) = f**2 - 8*f - 1. Let u be o(9). What is the greatest common divisor of a and u?
1
Suppose -4*x + 35 = -21. Let v be (-34)/(-6) - 4/6. Suppose 3*u + 65 = 3*s - 2*s, -5*u = v*s - 265. Calculate the highest common divisor of s and x.
14
Suppose 4*k + 4*a = 20, 7*k + 3*a - 23 = 2*k. Suppose -3*s = -s - 12. Let i = k + s. What is the highest common factor of 2 and i?
2
Let c be (-2)/2 + 150/6. Calculate the greatest common factor of 168 and c.
24
Let j = -13 - -109. Let i = -41 + j. What is the greatest common divisor of 22 and i?
11
Let u be (0 + (-2)/(-4))*0. Suppose f + 4*f + x = 221, 4*x + 16 = u. What is the greatest common divisor of 9 and f?
9
Let b(c) = 4*c - 10. Let h be b(5). Calculate the greatest common divisor of 40 and h.
10
Suppose 4*f - 2*z = 120, 0*f - f + 5*z + 48 = 0. Calculate the highest common factor of f and 4.
4
Let v(m) = 17*m**2 + 3*m + 4. Let s be v(-1). What is the highest common factor of 216 and s?
18
Suppose 4*t = -20, -a + 48 = -0*a + 3*t. What is the highest common factor of a and 9?
9
Let t be 1 + 1 - 5*-2. Let k be (22/4)/(2/t). Calculate the greatest common divisor of k and 22.
11
Let g be ((-4)/(-8))/((-1)/(-36)). Suppose -g = i - 2*i. What is the highest common divisor of 12 and i?
6
Suppose 2*s = 4*f - 126, -3*f - 3*s + 63 + 18 = 0. Calculate the highest common divisor of f and 6.
6
Let b(d) = -34*d**3 - d. Let h be b(-1). Suppose 3*v + 47 = -4*m, -3*m = -0*v - 5*v - 1. Let g = m - -13. What is the greatest common factor of g and h?
5
Let k(n) = 4*n + 11*n - 3*n + 2*n**2 + 11 - n. Let u be k(-7). What is the highest common divisor of 8 and u?
8
Let n(p) = -p**3 + 10*p**2 + 2*p - 14. Let l be n(10). Calculate the highest common factor of 42 and l.
6
Let n = 22 - -24. What is the highest common divisor of 115 and n?
23
Let u(q) = q**3 + 10*q**2 - 3*q. Let h be u(-10). What is the highest common factor of 10 and h?
10
Suppose 4*k - 1 = 7. Suppose -1 = -k*c + 3. Suppose 0 = 2*y - 4 - c. Calculate the greatest common factor of y and 15.
3
Let y = -25 + 28. Suppose 0 = -3*f - 3*z + 3, -3*f + 5 = -5*z + 2. Calculate the greatest common divisor of y and f.
1
Let x be 22/4 - (-1)/2. Suppose 0 = -f + 7 - 5. What is the highest common divisor of f and x?
2
Let l(m) = -21*m - 31. Let k be l(-13). What is the highest common divisor of 22 and k?
22
Suppose 4*x - 53 = 2*v + 3*v, 3*x = -2*v + 34. Let z(l) = 3*l + 0 - 2 - 2*l. Let f be z(6). Calculate the highest common factor of f and x.
4
Let d = -1 + 1. Let x(j) = j**2 + j**3 + 3*j + 3*j - 4*j + 12 - 3*j. Let k be x(d). What is the greatest common factor of 30 and k?
6
Let a = 14 + -2. Let u(b) = -b**3 - 9*b**2 - 7*b + 11. Let r be u(-8). Calculate the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
s) be the first derivative of 70*s**3/3 + 34*s - 90. Differentiate y(m) wrt m.
140*m
Let w(r) be the second derivative of 0*r**2 - 12*r + 5/6*r**4 + 0 - 16/3*r**3. What is the second derivative of w(t) wrt t?
20
Let a = 0 + 2. Find the second derivative of a*q**5 + 15*q**3 + 11*q - 15*q**3 + 2*q wrt q.
40*q**3
Let y(p) = -2 + 0*p + 14*p**2 + 2*p + p. Let f be y(2). What is the second derivative of 4*n**4 - 60*n**2 - n + f*n**2 wrt n?
48*n**2
Suppose q = -2*p - 3, 5*q + 3*p = -2*p. Find the third derivative of -5*l**2 + q*l**6 - l**6 + 2*l**6 wrt l.
480*l**3
Find the third derivative of -7*l**2 + 9 - 2205*l**4 + 2216*l**4 + 0*l**5 + l**5 wrt l.
60*l**2 + 264*l
Let v(w) be the first derivative of 31*w**2/2 - 134*w + 50. What is the first derivative of v(s) wrt s?
31
Let z(a) be the third derivative of -13*a**6/40 + a**5/20 + 89*a**4/3 - 677*a**2. What is the second derivative of z(v) wrt v?
-234*v + 6
Let x be 0 + (2 - 8/(-4)). What is the second derivative of 943 + x*s**5 - 943 - 11*s wrt s?
80*s**3
Let y(t) = 2*t - 238 + 234 + 4*t - t**3. Let f(k) = -k**3 + 5*k - 3. Let n = -12 + 8. Let s(o) = n*f(o) + 3*y(o). Find the second derivative of s(q) wrt q.
6*q
Let q(j) be the second derivative of 14*j**6 + 45*j**2/2 + 134*j + 2. Find the first derivative of q(a) wrt a.
1680*a**3
Let g(d) = d**3 - 17*d**2 + 16*d + 4. Let l be g(16). Find the first derivative of -11*x**4 - 9*x**l - 12 + 39 wrt x.
-80*x**3
Let z(a) be the first derivative of 3/5*a**5 + 0*a**2 + 6 + 0*a**3 - 12*a + 0*a**4. What is the derivative of z(s) wrt s?
12*s**3
Let t(x) be the first derivative of -22 + 0*x**5 + 0*x**4 + 25/6*x**6 + 0*x + 0*x**3 - 6*x**2. Find the second derivative of t(y) wrt y.
500*y**3
Find the third derivative of -55*l**4 + l + 208*l**2 - 4*l - 207*l**2 wrt l.
-1320*l
Suppose -2*k - 20 = -2*p + 3*k, p + 2*k = 10. Find the first derivative of -18 + 37 - 35 - p*q**2 wrt q.
-20*q
Let h(f) = -145*f**4 + f**2 + 93. Let v(n) = 72*n**4 - 46. Let l(r) = 3*h(r) + 5*v(r). Find the third derivative of l(t) wrt t.
-1800*t
Find the second derivative of -27*c**5 + 145*c**5 + 111*c + 106*c**5 + 437*c**5 wrt c.
13220*c**3
Let d = -140 - -143. Differentiate 44*o**d - 27*o**3 + 10*o**3 - 36 wrt o.
81*o**2
Let o(m) = m**3 + 9*m**2 - 3*m - 21. Let i be o(-9). What is the derivative of -2 + i + 6*n + 8 - 1 wrt n?
6
Let i(v) = -v**3 + v**2 - v + 1. Let r(t) = 53*t**5 - t**3 - 3*t**2 - t - 3. Let j(p) = i(p) - r(p). What is the third derivative of j(n) wrt n?
-3180*n**2
Let g(r) be the third derivative of 0 + 0*r**7 - 5/168*r**8 - 31*r**2 + 29/60*r**5 + 0*r**3 + 0*r + 0*r**6 + 0*r**4. What is the third derivative of g(m) wrt m?
-600*m**2
Let y(g) = -g. Let j be y(-4). Let b be (2/3)/(j/12). Differentiate 0*f**2 + 4*f**4 + 3 + 0*f**b with respect to f.
16*f**3
Suppose 0 = -4*f - 2*f + 54. Find the second derivative of f*d**4 - 4*d**3 + d**3 + 3*d**3 - 21*d wrt d.
108*d**2
Let d(w) = 612*w**2 - 16*w - 50. Let i(j) = 305*j**2 - 8*j - 26. Let f(a) = 3*d(a) - 5*i(a). Find the second derivative of f(q) wrt q.
622
Suppose -18 = -3*d + 12. Find the second derivative of -d*u**5 + 41*u - 28*u - 20*u wrt u.
-200*u**3
Let r(i) be the first derivative of -2*i**6/3 + 15*i**4 - 3*i**2/2 - 13*i - 352. What is the second derivative of r(m) wrt m?
-80*m**3 + 360*m
Let z(p) be the first derivative of p**6/30 - p**5/20 - p**3 + 2. Let v(w) be the third derivative of z(w). Find the second derivative of v(c) wrt c.
24
Find the first derivative of 0*m**2 + 108 - m**2 + 522*m**3 - 513*m**3 wrt m.
27*m**2 - 2*m
What is the third derivative of -1169*l + 577*l + 587*l - 54*l**3 - 2*l**4 + 24*l**2 wrt l?
-48*l - 324
Let u(q) = 27*q. Let m be u(1). What is the second derivative of 0*j**3 - 2*j**3 - m*j + 25*j wrt j?
-12*j
Let j(c) be the third derivative of -11/6*c**3 + 0*c + 0*c**6 + 0*c**4 + 0*c**5 + 0 + 2/21*c**7 + 2*c**2. What is the derivative of j(f) wrt f?
80*f**3
Let q(l) = 115*l**4 - 4*l**3 - 129*l. Let n(d) = d**4 + d**3 - d. Let a(i) = 4*n(i) + q(i). Find the second derivative of a(w) wrt w.
1428*w**2
Let m = -1 + 12. What is the third derivative of -6*f**2 - 2 + 2 + 11*f**3 + m*f**2 wrt f?
66
Let w(z) = 122*z**3 - 16*z**2 + 8*z + 21. Let a(g) = 61*g**3 - 8*g**2 + 4*g + 9. Let o(x) = 7*a(x) - 3*w(x). What is the third derivative of o(s) wrt s?
366
Let s(b) = b**2 + 6*b - 9. Let c be s(-8). Let k be 4/(-7)*c/(-2). Find the third derivative of -t**6 - 4*t**2 + 9*t**k + 3*t**6 wrt t.
240*t**3
Let n(h) be the third derivative of -h**3 - 1/30*h**5 + 0*h**4 + 0 - h**2 + 0*h. Differentiate n(v) wrt v.
-4*v
Let q(o) be the second derivative of 657*o**5/20 + 65*o**4/2 + 64*o - 2. What is the third derivative of q(a) wrt a?
3942
Let j(h) be the first derivative of -15/2*h**2 - 9 - 9*h. Differentiate j(n) wrt n.
-15
Let x(v) be the first derivative of 9/2*v**2 + 19 - 11*v. Find the first derivative of x(a) wrt a.
9
Let n = 167 + 113. Find the second derivative of s + n*s**3 - 280*s**3 - 6*s**5 wrt s.
-120*s**3
Let r(d) = d**4 + d**2 - d - 1. Let t(h) = 2*h**4 - 61*h**2 - 33*h - 4. Let k(c) = r(c) - t(c). What is the second derivative of k(n) wrt n?
-12*n**2 + 124
Let f(y) be the first derivative of -10*y**7/21 + 3*y**4/4 - 14*y + 20. Let c(d) be the first derivative of f(d). What is the third derivative of c(g) wrt g?
-1200*g**2
Let o(c) = c**2 - c + 4. Let k be o(0). What is the third derivative of -15*u**2 + 6*u**4 - 6*u**5 - 10*u**k + 4*u**4 wrt u?
-360*u**2
Let c(s) be the first derivative of -71*s**6/6 - s**2/2 + 22*s + 94. Find the second derivative of c(h) wrt h.
-1420*h**3
Let n(w) be the first derivative of 1/4*w**4 + 7/2*w**2 + 2 + 0*w**3 + 0*w. What is the second derivative of n(l) wrt l?
6*l
Let u(l) be the second derivative of l**4/12 - 5*l**3/3 + 265*l**2/2 - 48*l - 2. Find the first derivative of u(m) wrt m.
2*m - 10
Let v(y) be the first derivative of 19*y**3/3 + 36*y**2 + 13. Find the second derivative of v(k) wrt k.
38
Let k(n) be the first derivative of 2*n**7/7 + 115*n**4/2 + 62*n**3/3 + 431. What is the third derivative of k(o) wrt o?
240*o**3 + 1380
Let o be 2/(-3) - (-187)/33. Find the third derivative of -21*d**2 + 93*d**5 - 93*d**o + 15*d**6 wrt d.
1800*d**3
What is the derivative of 56*v + 0*v**2 - 454 + v**2 + 496 wrt v?
2*v + 56
Let b(l) be the third derivative of -5/6*l**5 + 1/15*l**7 - 46*l**2 + 1/120*l**6 + 0*l**3 + 0*l**4 + 0*l + 0. Find the third derivative of b(n) wrt n.
336*n + 6
Let j(i) be the third derivative of 6*i**2 + 0 + 7/30*i**5 + 0*i**3 + 0*i + 0*i**4 + 11/120*i**6. Find the third derivative of j(v) wrt v.
66
Find the second derivative of 34*h**3 + 2*h - 48*h**3 - 6*h + 422 + 6*h - 164*h**3 - 3*h**2 wrt h.
-1068*h - 6
Suppose 6*g - 2*g - 3 = 3*o, 3*o = 9. Differentiate 23*d**3 + 1 - 15*d**g - 3 with respect to d.
24*d**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-145 + j. Let g be -10*(-2)/(-9) + 2. Which is the third smallest value? (a) g (b) t (c) 4
c
Let z = -6 - -20. Let f be (-2 - (-9)/6)*6. What is the third smallest value in -0.4, z, f, -0.5?
-0.4
Let a = -9392.92 - -7731. Let f = a - -1696. Let o = 34 - f. What is the second biggest value in 4, 2/7, o?
2/7
Let p(g) = 2*g**3 - 26*g**2 - 22*g - 87. Let i be p(14). Which is the third smallest value? (a) 0.4 (b) i (c) 2.781
c
Let p = -12.8722 - -12.7722. Let l = -83/3 + 28. What is the third smallest value in 5, l, p, 1?
1
Let v = -2.7966 + -0.2034. What is the smallest value in -0.3, v, -0.195?
v
Let t = -0.3 + 0.4. Let y = -16436 - -16439. What is the third smallest value in 0, t, y, -3?
t
Let k = -203.6 + 226. Let f = k + 2.6. Let j = -24 + f. Which is the fourth biggest value? (a) j (b) -1/7 (c) -2/5 (d) 3
c
Let u = -76.745 - 0.055. Let o = 77 + u. Which is the third smallest value? (a) o (b) -5 (c) -0.2 (d) -7
c
Let r = -356 + 596. Let g = 240.3 - r. Let n = -0.32 + 0.02. Which is the second smallest value? (a) g (b) -2 (c) 1/8 (d) n
d
Suppose -19*u = -4*u - 5640. Let q = u + -380. What is the third smallest value in 0.37, q, -0.1?
0.37
Let u = 3.168 + 0.032. Let c = u + 37.8. Let l = 41.2 - c. What is the biggest value in -0.1, 0.3, l, -0.3?
0.3
Let j = 32 - 28.2. Let b = -5.8 + j. Let x = b - 20. What is the third biggest value in x, 2, -4/7?
x
Suppose 2*m = 0, -3*m = 2*j - 1 - 1. Let p = 7 + -6. Let f be p/(-2) + (-13)/(-18). Which is the smallest value? (a) 0 (b) f (c) j (d) -3
d
Let t = -0.354 + 4.334. Let v = -0.02 - t. Let j = 1.16 - 0.16. What is the second smallest value in j, v, -0.4?
-0.4
Let v = -3.7 - -2.3. Let r(j) = 156*j + 9521. Let o be r(-61). What is the fourth biggest value in -1/5, -2, v, o?
-2
Let c = 365 - 365.048. Let d = -1.952 + c. What is the second smallest value in 3/5, d, 4/17?
4/17
Let f = -729 + 713. Which is the third biggest value? (a) -2 (b) 0.027 (c) -0.5 (d) f
a
Let m(f) = -f**3 - 8*f**2 - 10*f - 19. Let i be m(-7). Let s = -2.1 + 1.6. What is the third biggest value in s, i, 0.5, 1/6?
1/6
Let g = -2140/9 + 238. Let u be 4/6*(-27)/(-99). Which is the third smallest value? (a) -0.3 (b) u (c) g
c
Let k = -10.2301 - -10.3. Let x = k + -2.0699. Let r = 0.09 + 3.91. Which is the smallest value? (a) r (b) 1/2 (c) x (d) 1/4
c
Let s = 4.5 - 5. Let w = 57.4 - 67. Let x = w + 4.6. What is the second biggest value in s, 5/4, x, 5?
5/4
Let l be (-9*10/(-360))/((-33)/24). Which is the fourth biggest value? (a) 0.04 (b) 23 (c) l (d) -0.4
d
Let g = -0.6 - -0.1. Let r = 9615/19 + -506. What is the biggest value in 0.2, 0, g, r?
0.2
Let z = 6.9 + -2.52. Let d = -4.734 + z. Let t = -0.054 - d. What is the second smallest value in 1/5, 1, t, -2?
1/5
Let l = 9122.5 - 9123. Which is the fifth smallest value? (a) -1 (b) l (c) -5 (d) 3/5 (e) 0.1
d
Let g = -537.41 + 538. Let t = -4.41 - g. What is the third biggest value in -21, t, -0.06?
-21
Let r = -1.13 + -48.87. Let o = 77 - 123. Let i = r - o. Which is the third smallest value? (a) 2 (b) -10 (c) i
a
Let t = -512 + 557. What is the second smallest value in 3/7, 2, t, -4?
3/7
Let s = -2.63 + 2.469. Let k = -0.539 + s. Which is the smallest value? (a) k (b) 1/4 (c) 4
a
Let o = 3 - 11/5. Let b = -1076 + 1076. What is the second biggest value in 3, o, 2, b?
2
Suppose 2*x - 164 = x + 5*x. What is the fifth smallest value in -1/10, x, 1/4, 1/8, 3/7?
3/7
Let b = 794 + -794.5. What is the smallest value in b, -2/3, 2/15, 3?
-2/3
Let h = 0.01 - -0.29. Let b = 132.36 - 134. Let n = b + 1.24. What is the biggest value in -2, -3/2, h, n?
h
Let a(g) = 2*g**2 + 7*g - 17. Let o be a(-5). Let w be (-4)/((-12)/15) + -3. Suppose 5*s - w = 8. What is the fourth smallest value in s, o, -3/2, 5?
5
Let s = 6 + -1. Let y = 65978.05 - 65978. Which is the second smallest value? (a) 2/5 (b) y (c) s
a
Let s = 116916.5 - 116917. Suppose -h - 2*k - 4 = 0, -7*h + 2*k = -4*h - 12. Which is the fourth smallest value? (a) h (b) s (c) 2/7 (d) 29
d
Let y = -2884.1 + 2734. Let x = y - -150. What is the second biggest value in 4, x, 0.1?
0.1
Let i = 497/8 - 62. Let g be 1 + (-545)/345 + 12/18. What is the second biggest value in 3, i, g?
i
Let t = 86 - 146.6. Let p = 59.6 + t. Which is the third biggest value? (a) -0.09 (b) p (c) 1/6 (d) -4
b
Let w = -908.9 - -909. Let s = 121 - 130. Which is the third smallest value? (a) w (b) s (c) -1/4
a
Let i = 97 + -89. Let s = 8.5 - i. Let d be 2 + 3 - (5 + -3). What is the biggest value in d, s, 0, -0.1?
d
Let m = 59/28 - 6/7. Which is the smallest value? (a) -9/7 (b) m (c) 3/2 (d) 2
a
Let i be (-3 - (-75)/27) + 38/171. Let l = 238 - 237.88. Which is the fourth smallest value? (a) i (b) -0.3 (c) 1 (d) l
c
Let s = -241.6 - -241.45. Which is the biggest value? (a) 0 (b) 2 (c) s
b
Let m = 0.487 + 326.513. Let x = m + -331. Let j = -0.35 + 0.05. Which is the second biggest value? (a) x (b) -2/7 (c) j
c
Let y = 69.4504 + -0.4504. Which is the third biggest value? (a) -0.4 (b) y (c) -1 (d) -4 (e) -1/2
e
Let q(o) = -o**3 - 5*o**2 - 2*o + 3. Let k be q(-4). Let p be (180/1425)/(26/(-3315)) - -16. What is the third biggest value in k, p, 2/3?
k
Suppose -15*h + 1045 = 4*h. Let g be 6/5 - h/25. Which is the biggest value? (a) g (b) 5 (c) -0.14
b
Let i = 121124 - 121129. Suppose -3*l + 17 = -10. Which is the second smallest value? (a) 2/7 (b) i (c) l (d) 0.3
a
Let f = 0.051 - 461.051. Let z = f + 466. What is the fourth smallest value in 0, -0.4, 2/7, z?
z
Let x be (-10)/14 + (-4)/14. Let h be (18 - 82 - -73) + (92/(-10))/1. What is the fourth biggest value in h, 5, -2/3, x?
x
Let j(i) = 2*i**2 + 55*i + 375. Let f be j(-14). Let l = 6 - 8. What is the biggest value in 4, 20, f, l?
20
Let g = 3748 - 3716. Which is the smallest value? (a) 2 (b) 0.3 (c) -4 (d) g
c
Let w = 0.152 - 3.152. Let x(m) = m**3 + 4*m**2 + m + 4. Let k be x(-4). Let h be 2 - (-2 - (1 + k)). What is the smallest value in w, h, -0.5?
w
Let n = -9403 - -9402. Let x be (2 + 0)*-2 - -2. What is the second smallest value in 6, x, n?
n
Let b = 13.46 + -13.46. Let u = 6.1 - 5.1. What is the third smallest value in 2/17, u, -6, b?
2/17
Let v = 474.8 - 474.3. What is the smallest value in 5.4, 3, v, -0.5?
-0.5
Let a = -0.02 - 6.98. Let w = 0.977 - -0.353. Let x = -2.33 + w. What is the second biggest value in x, -0.3, a?
x
Let x = 0.942 - 0.522. What is the second biggest value in 0.4, x, 17/5, 0.1?
x
Let h = -544 + 558. Let i = 17.66 - -0.34. Let w = i - h. Which is the biggest value? (a) 0.5 (b) 0.4 (c) 2 (d) w
d
Let z = -4 + 2. Let y = 64 + -38. Let k be ((-16)/24)/(y/6 + -1). Which is the second biggest value? (a) z (b) 0.3 (c) -1/9 (d) k
c
Let u = 1161 - 1261.8. Let z = 101 + u. What is the third smallest value in -4, z, 4?
4
Let m = -0.056 - 1.184. Let x = m + -0.06. Suppose 4*o + 23 = -3*s, 4*o = s + o - 1. Which is the second smallest value? (a) -0.2 (b) s (c) x
c
Let t be 37/7 + 7/(343/(-14)). What is the third smallest value in t, 0, 3, -0.258?
3
Let v = 0.02334 - 0.42334. What is the fourth biggest value in 1/4, 2, v, -7?
-7
Let l = -63.873 - 0.127. Let f = -5583 + 5643. Let g = f + l. Which is the second smallest value? (a) g (b) 9 (c) -0.4 (d) 0.4
c
Let o = -9 - -9. Let r = -22811 - -159674/7. Let x = 0.02 - -0.38. What is the second smallest value in o, r, x, 3?
o
Let h = -19.26 - -15.26. Let g = -154 - -1081/7. What is the biggest value in 0.5, g, h?
0.5
Let v = 185 + -185.5. What is the fourth smallest value in -3, 1.356, 1/5, -0.4, v?
1/5
Let f = 262 - 252.85. Let h = -14.15 + f. Which is the third smallest value? (a) -0.03 (b) h (c) -0.1
a
Let u = -2820.5 + 2820.9. What is the third biggest value in 2, 304, 4, u?
2
Suppose -3*b + 4*b - 2 = 0. Let k = 10993/29304 + -1/7326. What is the second smallest value in b, k, -27?
k
Suppose 5 = -498*m + 503*m. Let y = 28.5 + -4.4. Let u = y - 24. Which is the second smallest value? (a) -2/9 (b) m (c) u (d) -0.01
d
Let a = 105698.6 + -105698. Let p = 4 - 7. What is the smallest value in p, a, 2, -0.4?
p
Let p = -0.2 - 3.8. Let o = p - 0. Let z be ((-7)/2 + 1)*(-136)/170. What is the second biggest value in 5, o, z?
z
Let z = -1.491 + 1.491. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
1 in 0.3, s, 3?
0.3
Suppose 9*v - 4*v + 20 = 0. Let w = 0.24 + -2.24. What is the closest to 0 in w, v, 1/3?
1/3
Let j be (-6)/(-4) - 58/44. Let l = 4 + -4. Let b be l + 3/2*-2. What is the nearest to 1/3 in b, -2, j?
j
Let n = 333/4 + -83. Let r = 3 - 3.1. Which is the nearest to r? (a) n (b) -1/4 (c) -4
b
Suppose 7 + 8 = 3*o. What is the closest to -4 in o, -3, 0.5?
-3
Let j = 0.5 + -0.1. Let y = -6 - -4.9. Let w = -0.1 - y. Which is the nearest to w? (a) j (b) 4 (c) 3/4
c
Suppose -3 = -5*v + 2. Let z = 3 + v. Which is the closest to z? (a) -2/13 (b) -4 (c) 4/9
c
Let h = -120 + 126. What is the nearest to h in 0.2, 5, 3?
5
Let w be (1/(-2))/(18/8). Let p = -0.27 + 0.28. Which is the nearest to -1? (a) w (b) p (c) -1/4
c
Let h = -0.6 - 1.4. What is the closest to h in 6/7, -2/21, -0.3?
-0.3
Let q be -3 - 33/18*(-6)/3. What is the nearest to q in 2, 4/5, -1/4?
4/5
Suppose -5*v + 2*x = 23, 9*v - 3*x = 4*v - 22. Let s = 0.04 - -4.96. Let q = -1 - -5. Which is the closest to 0.1? (a) v (b) s (c) q
c
Let z(h) = h**3 + 3*h - 5. Let v be z(0). Which is the closest to 3/2? (a) v (b) -1/4 (c) 7
b
Let d = 0.12 - 0.1. Let q = -2.02 + d. Which is the nearest to q? (a) -4 (b) -0.4 (c) -5
b
Let z = -10 - -10. Let d = -2 + z. What is the closest to 0.2 in d, -3, 5?
d
Let u = 61 - 65. Which is the closest to -1/4? (a) -0.02 (b) u (c) 5
a
Let r = -247/192 + -3/64. Let m = 0.01 + -6.01. Let h = 5 + m. What is the nearest to 0.2 in -0.3, h, r?
-0.3
Let x = -38.2 + 38. Which is the nearest to 0.1? (a) -0.3 (b) 1/6 (c) x
b
Suppose 6*n + 1 = -5. Which is the closest to 0.3? (a) -3/5 (b) 3 (c) n
a
Let g = -664/7 + 95. Let o = 0 - 0.4. What is the nearest to -1/2 in g, o, -3?
o
Let d = -17 + 13. Let n = d + 4.1. What is the closest to 2/3 in -0.3, n, 3?
n
Let y = 0.3 + -0.2. Let k = 0 - y. Which is the nearest to k? (a) -1/2 (b) -6/5 (c) -2/5
c
Let x = -27 - -28. Which is the closest to -1? (a) x (b) 0.3 (c) 2
b
Let g = 149/39 - 11/3. Let t = -0.1 - -0.1. Which is the nearest to t? (a) -2 (b) -5 (c) g
c
Let m = 10.5 + -10.9. Which is the nearest to 2? (a) -2/7 (b) 2/17 (c) m
b
Let v = -806/5 - -160. Suppose -t - t + 8 = 0. Let f be (-2)/10 - (-2)/5. What is the closest to 1 in f, t, v?
f
Suppose 3 - 1 = 4*q + 3*p, 2*q - 14 = 5*p. Let h be 2 + 108/(-26) + q. Let m be 5/(75/(-6)) + 1. What is the nearest to 1 in h, m, 0?
m
Let m(r) = r + 3. Let n be m(0). Let l = -0.12 - -0.02. Which is the closest to -0.4? (a) l (b) n (c) -2
a
Let n = 3.7 + -4. What is the nearest to -0.4 in -3, n, 3?
n
Let i = -0.4 - 0.1. Suppose 2*s = 3*s + 1. Let o = 2 + s. Which is the nearest to o? (a) i (b) -2/3 (c) 1
c
Let y be 156/432 + (-2)/8. What is the nearest to 0 in 0.5, y, -3?
y
Let i = -5 - -7. Let q = i + -3. Which is the closest to q? (a) 3 (b) 0.3 (c) 1
b
Let i = 2.94 - 0.04. Let u = i + 0.1. What is the nearest to 0.2 in u, -2, -5?
-2
Let x = 1.463 - -0.537. Let r be 6/(-10)*(-4)/6. Let t = -0.1 + -0.1. What is the closest to r in x, t, 0?
0
Let b = 2.5 + 0.5. What is the nearest to b in 4, 10, 1/11?
4
Let t be -1 + (-10)/45*-3. What is the closest to 3/5 in t, 3/2, 1/4?
1/4
Let z = -3 - 2. Let n = 0.2 - 0.2. Which is the nearest to n? (a) z (b) -4 (c) -1/6
c
Let q = 39 - -35. Let p = 3037/41 - q. Let k = p - -99/328. What is the nearest to 1/3 in 0.2, -2/5, k?
k
Let h = -5.8 - -0.8. Let x = -16.5 - -1.5. Let d = 13 + x. Which is the closest to -1? (a) d (b) 0.2 (c) h
a
Let y be (-4)/90*(-45)/9. Suppose -6*g + g = 0. What is the nearest to -1 in y, g, 1/6?
g
Suppose 0 = 4*a - 8 + 12. What is the closest to 0 in -2/17, a, -1/2?
-2/17
Let g = -1/70 - -143/210. Which is the closest to -1? (a) -1/3 (b) g (c) -0.2
a
Let p = 1.9 + -2. Let v = -17 - -16.7. Which is the nearest to p? (a) v (b) 3/7 (c) 1
a
Let j = -0.38 + 0.08. Let i = j + 1.3. Let g = -0.8 + i. Which is the closest to 1/4? (a) 0 (b) -0.4 (c) g
c
Let q = -9/4 + 5/2. What is the closest to q in 1, -4, 0.3?
0.3
Let v be (-32)/(-6) + 2/(-6). Let l = -7 + v. Let k = -0.481 + -0.019. Which is the nearest to l? (a) -0.2 (b) 4 (c) k
c
Let q = 8 + -8.03. Let l = 0.33 + q. Let b = l - 5.3. What is the closest to -2/7 in -3/2, b, -2/23?
-2/23
Suppose -2*n - 22 + 0 = 0. Let y = n - -5. Let w be 6/(-28) - 3/y. Which is the nearest to -1/2? (a) -5 (b) 1 (c) w
c
Let w = 0 + 0. Let i be 26/6 - (-6)/9. Let m = i - 1. Which is the closest to w? (a) 0 (b) m (c) -0.1
a
Let n = 22 - 23. Let u = -8 - -5. Let z be u/14*(-1 + -1). What is the closest to 0 in z, -0.3, n?
-0.3
Let m = 11 + -8. Let z = 6 - m. Let q = -2.5 - -2. What is the nearest to 0 in q, -5, z?
q
Let h = -0.2 - 0.2. Let v = -4 + 5. Let n = v - 5/4. Which is the closest to -1? (a) -1 (b) n (c) h
a
Let t be -2 - 3/(-9)*5. Let r be (20/(-8))/((-2)/(-4)). What is the closest to -0.1 in 2/3, r, t?
t
Let u be (0 - 4/13) + (-6)/(-39). Which is the nearest to -1? (a) -1/6 (b) 3/13 (c) u
a
Let o = -171 - -169. What is the nearest to o in 0.2, 3, 2?
0.2
Let v = 16 + -11. Suppose -7 - 8 = -v*r. Which is the nearest to -1/4? (a) r (b) -0.1 (c) 4
b
Let a = 0 + -0.3. Let c = -0.2 + 0. Let r = 0.09 + 2.91. What is the closest to c in a, r, -2/9?
-2/9
Let i = 80 - 81. What is the nearest to 0 in 0, i, 0.3?
0
Let p = -0.3 + 0.7. Let i = 5 + -9. Which is the nearest to -0.1? (a) p (b) -4/7 (c) i
b
Let x(s) = s**3 - 10*s**2 + s - 10. Let q be x(10). Which is the closest to -1/4? (a) -1/4 (b) -4/7 (c) q
a
Let g = 7.5 - 8. What is the closest to 0.3 in -5/4, g, -1/5?
-1/5
Suppose -5*h = -22 + 2. Let p be h/(-15) + (-6)/(-9). Let d = -1/5 - -8/15. Which is the nearest to 0? (a) d (b) -4 (c) p
a
Let q = 0 + 0.1. Suppose -s = -3*t + 6, 4*t + 4 + 4 = -4*s. Suppose t = -0*o - o. What is the nearest to q in o, 4, -4?
o
Let l = 19 - 18. Let g = -3.9 + 4. Which is the nearest to l? (a) 1 (b) g (c) -1
a
Let q = 0.15 + 5.85. Let m = q + -10. Which is the closest to 1? (a) -0.2 (b) 1/4 (c) m
b
Let s = -311 - -302.93. Let h = s - -0.17. Let z = -8 - h. What is the closest to z in 2, 5, 4?
2
Let h = 20 + -27. What is the closest to 0.1 in -1/2, h, -5?
-1/2
Let c(f) = -f**2 - 6*f. Let y be c(-6). Let h be y/(-1) - 3/18. Let s = -193/210 - -11/14. What is the closest to -3 in s, h, 5?
h
Suppose -2*i + 4*k = 4, -3 = 5*i - k + 7. Let d be (i/3)/((-12)/(-18)). Let w be 14/(-63) + 50/(-18). What is the nearest to d in -0.1, w, -2/5?
-2/5
Let r = 0.17 + -0.07. Let w = r + 0.1. Let a be (-2)/(-18)*12/10. What is the nearest to w in -1, -0.5, a?
a
Let s = -0.049 + 0.919. Let t = 0.17 - s. Let r = t + 0.5. What is the nearest to 0 in -3, r, -5?
r
Let u = 7 - 4. Let i = -0.2 - 0.3. Which is the nearest to 1/4? (a) u (b) 1/4 (c) i
b
Let w = -0.4 + 7.4. Let d = w - 6.8. What is the nearest to 0 in d, -3, 1?
d
Let l = -49 + 46. Which is the closest to 1? (a) -1 (b) l (c) -2/15
c
Let m(p) = p**3 + 14*p**2 - 16*p - 15. Let l be m(-15). What is the closest to 0.1 in -1/3, l, 2/7?
l
Let o = -3/23 - -67/161. Suppose -r = -6*i + i + 10, -r = -i + 2. Suppose r = -3*s + 2*s + 4. Which is the closest to o? (a) s (b) -1 (c) -4
b
Let q = -4.9 + 5. Let u = -5 - -4. Let t = 0.4 - 0.4. Which is the nearest to u? (a) q (b) t (c) 1
b
Let l = -18 - -16. Let z(k) = -k**3 + 3*k**2 + k - 2. Let d be z(3). Which is the closest to -6? (a) l (b) -0.2 (c) d
a
Let h be 18/(-20) + (-2)/(-5). Let i = 3.1 - 3. Let o = 2 + 2. Which is the closest to h? (a) i (b) o (c) -2
a
Let x = 0.3 + -0.3. Let s = x - 3. Let u = 1 + s. Which is the nearest to u? (a) 1/3 (b) -0.5 (c) -1
c
Let d = 0.2 + 0.2. Suppose 3*u - 5 = -2*u. What is the nearest to -1 in 5, d, u?
d
Let w be 6/15 - 3/(-5). Let s = w - 0. Let t = 0.49 + 0.01. Which is the nearest to 1? (a) s (b) 0.3 (c) t
a
Let z = 48 + -47.7. Which is the closest to -2? (a) 1 (b) z (c) -2/17
c
Suppose 4*s = 3*g - 6, 5*g - 4 = 4*s - 2. Suppose -4*n - 4 = -0*n. Let v = -2112/5 + 422. What is the closest to n in 2/5, v, g?
v
Let v = -0.2 + 1.2. Let r = v + 1. Let p = -2.2 + 2.7. What is the nearest to -0.1 in p, r, -2/25?
-2/25
Suppose -t - 3*v - 13 = -5*v, 4*t + 8 = -3*v. What is the closest to -2/5 in 0.2, t, 0?
0
Let g = -20.3 - -20.3. Let j = -1 + 1. Which is the nearest to g? (a) j
|
{
"pile_set_name": "DM Mathematics"
}
|
or of 8848 and 134540.
28
Calculate the greatest common factor of 116595620 and 67652.
5204
Calculate the highest common divisor of 293148 and 187884.
612
What is the greatest common factor of 5559207 and 94?
47
Calculate the greatest common factor of 209479384 and 3320.
664
What is the greatest common factor of 982291016 and 8120?
1624
Calculate the greatest common divisor of 48916723 and 236.
59
Calculate the highest common divisor of 473211 and 4.
1
What is the highest common divisor of 86420 and 602910?
290
What is the highest common factor of 8397 and 16001883?
2799
Calculate the highest common divisor of 5332776 and 120.
24
Calculate the greatest common factor of 77726726 and 1070.
214
Calculate the highest common factor of 987317 and 13.
1
Calculate the highest common factor of 1696898 and 455182.
854
What is the greatest common factor of 7146670 and 71390?
590
Calculate the greatest common divisor of 388278 and 8162.
1166
What is the greatest common divisor of 80100 and 13293396?
3204
What is the highest common factor of 1027932 and 5892?
12
Calculate the greatest common divisor of 25785 and 40003995.
2865
What is the highest common factor of 182 and 9321468?
26
Calculate the greatest common factor of 14442 and 14210.
58
What is the highest common factor of 101409 and 701961?
1317
Calculate the highest common factor of 3280 and 4421850.
410
Calculate the highest common factor of 916168 and 5742.
638
What is the greatest common divisor of 12 and 39123796?
4
Calculate the highest common divisor of 614975 and 17000.
425
Calculate the highest common divisor of 2328 and 29046747.
291
Calculate the highest common divisor of 164000 and 52014650.
2050
Calculate the greatest common factor of 320 and 3319830.
10
Calculate the greatest common divisor of 5319 and 167373.
27
What is the highest common factor of 5564296 and 1?
1
What is the highest common divisor of 8 and 134125104?
8
Calculate the greatest common divisor of 4891958896 and 88.
88
Calculate the highest common factor of 14856562 and 3616.
226
What is the greatest common factor of 129376478 and 2198?
2198
Calculate the highest common factor of 14605 and 2913761.
127
What is the greatest common factor of 1064 and 4761960?
56
Calculate the highest common divisor of 596 and 895639.
149
Calculate the highest common factor of 152977321 and 7.
7
Calculate the greatest common divisor of 234 and 41219958.
78
What is the greatest common divisor of 182 and 87892922?
26
What is the greatest common divisor of 11639130 and 30?
30
Calculate the highest common factor of 819070 and 3290.
70
What is the highest common factor of 127 and 639959?
1
Calculate the highest common divisor of 44668772 and 152.
76
Calculate the highest common factor of 672 and 78622992.
336
What is the highest common factor of 14 and 36804229?
7
What is the highest common factor of 15 and 146562705?
15
Calculate the highest common divisor of 848235 and 48.
3
Calculate the greatest common factor of 21098154 and 1540.
154
What is the greatest common divisor of 282764 and 2349604?
1268
What is the highest common divisor of 1193600 and 5450?
50
Calculate the highest common divisor of 18871 and 66299.
167
What is the highest common divisor of 448 and 233554?
2
Calculate the highest common factor of 12710 and 42635695.
6355
Calculate the highest common divisor of 546 and 46566429.
273
Calculate the highest common factor of 14800 and 66094950.
1850
What is the highest common divisor of 94851 and 4446?
9
Calculate the highest common divisor of 11031417 and 20304.
1269
Calculate the highest common factor of 12718448 and 1569476.
8132
What is the greatest common divisor of 15 and 48838005?
15
What is the greatest common factor of 2486904 and 1806?
42
Calculate the greatest common factor of 48498394 and 434.
14
Calculate the highest common factor of 449388 and 784458.
3942
What is the highest common factor of 69306516 and 10096?
2524
What is the highest common factor of 42 and 21943716?
6
Calculate the highest common factor of 763320 and 456.
24
Calculate the highest common factor of 2009179 and 1028065.
1619
Calculate the greatest common factor of 40930526 and 3094.
3094
Calculate the highest common divisor of 1363221 and 18.
9
What is the highest common divisor of 7146 and 131778?
18
Calculate the highest common divisor of 189878034 and 3918.
3918
Calculate the greatest common factor of 124136 and 46138.
118
What is the highest common factor of 6097315 and 148225?
245
Calculate the highest common factor of 446760 and 847620.
3060
What is the greatest common factor of 414248 and 12084?
212
Calculate the highest common divisor of 8721460 and 27840.
580
Calculate the greatest common divisor of 288208 and 20400.
16
Calculate the greatest common divisor of 36 and 94668012.
36
What is the highest common factor of 1972 and 84821636?
1972
Calculate the greatest common divisor of 108 and 1364572.
4
What is the highest common factor of 8209862 and 137?
137
What is the greatest common factor of 104 and 13036036?
52
What is the highest common factor of 245163 and 1325499?
213
Calculate the greatest common divisor of 127982811 and 33.
33
Calculate the greatest common divisor of 835587 and 703071.
3681
Calculate the highest common factor of 13811592 and 132936.
4584
What is the greatest common divisor of 237552 and 57848?
56
What is the highest common divisor of 17936 and 2105238?
2242
Calculate the highest common factor of 1278795 and 373065.
1995
What is the greatest common divisor of 45050502 and 6?
6
What is the greatest common divisor of 18879176 and 1184?
296
Calculate the greatest common divisor of 1739061 and 118803.
597
What is the highest common divisor of 5431503 and 15?
3
Calculate the greatest common divisor of 135 and 1182087.
27
Calculate the greatest common factor of 8120 and 10480484.
812
Calculate the greatest common divisor of 7581 and 8730785.
2527
Calculate the greatest common divisor of 550697142 and 183.
183
Calculate the greatest common factor of 391 and 195593449.
391
What is the greatest common divisor of 2270528 and 45760?
832
Calculate the highest common factor of 17166008 and 1723022.
10702
What is the greatest common divisor of 133 and 2778181?
7
Calculate the greatest common factor of 1395 and 63344160.
1395
Calculate the highest common divisor of 2194977 and 6372.
177
Calculate the greatest common factor of 141346 and 153990.
58
Calculate the greatest common divisor of 510 and 6370665.
255
Calculate the greatest common factor of 14 and 2366017.
1
What is the greatest common divisor of 166528372 and 1784?
892
What is the highest common divisor of 336 and 35627676?
84
Calculate the highest common divisor of 3349216 and 18260.
332
What is the greatest common factor of 12776 and 480?
8
Calculate the highest common factor of 474 and 5892.
6
Calculate the greatest common factor of 30744 and 3475458.
126
Calculate the greatest common divisor of 1057518 and 1144.
22
What is the greatest common divisor of 1676 and 913125024?
1676
Calculate the highest common divisor of 111724942 and 14.
14
Calculate the greatest common factor of 370487 and 13.
13
What is the highest common factor of 2338085 and 20?
5
What is the greatest common divisor of 15865 and 33082700?
835
Calculate the highest common factor of 3402971 and 1197482.
7579
What is the highest common factor of 472 and 342392?
8
Calculate the highest common factor of 24108 and 188412.
84
Calculate the greatest common factor of 687810 and 34340.
1010
Calculate the greatest common factor of 60 and 286215.
15
Calculate the highest common divisor of 3915 and 18711351.
783
Calculate the greatest common factor of 264297270 and 85745.
7795
What is the highest common divisor of 18030459 and 433527?
7107
What is the highest common factor of 293300 and 21140?
140
Calculate the highest common factor of 129636 and 1979172.
468
What is the highest common divisor of 145 and 204378341?
29
Calculate the greatest common factor of 5583839575 and 25.
25
Calculate the greatest common divisor of 501382 and 1431913.
4249
Calculate the highest common factor of 26 and 679078.
2
What is the greatest common divisor of 1474 and 50271507?
737
What is the highest common divisor of 1224 and 30068784?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*x**7 + 0 + 1/4*x**4. What is the third derivative of f(v) wrt v?
360*v**3
Let s(x) = 34*x**4 - 11*x**3 + 16*x + 11. Let c(g) = 7*g**4 - 2*g**3 + 3*g + 2. Let m(r) = -11*c(r) + 2*s(r). What is the second derivative of m(i) wrt i?
-108*i**2
Let a(n) = n**2 + 3*n - 5. Let z be a(-5). What is the third derivative of 3*j**5 - 2*j**z + j**2 - 2*j**5 wrt j?
-60*j**2
Let v(n) be the second derivative of 0 - 1/3*n**3 + 1/4*n**4 + 0*n**2 + 2*n. What is the second derivative of v(m) wrt m?
6
Suppose -4*n + n = -c - 11, 0 = 3*n + 3*c + 9. What is the third derivative of -s**2 + s**4 - 4*s**n - 4*s**4 + 4*s**2 wrt s?
-72*s
What is the second derivative of 12*d**4 - 4*d - 6*d**5 - 12*d**4 wrt d?
-120*d**3
Let j(k) = -210*k**3 - 265*k. Let q(p) = -19*p**3 - 24*p. Let o(f) = -4*j(f) + 45*q(f). What is the second derivative of o(n) wrt n?
-90*n
What is the second derivative of 4*t - 3*t - 5*t - 2*t**4 + 6*t**4 wrt t?
48*t**2
Let r(o) = -3 - o + 5 - 3. Let c(k) = -11. Let b(s) = c(s) - 6*r(s). Find the first derivative of b(i) wrt i.
6
Let v(g) be the first derivative of 0*g - g - g**2 - 2 - 1 + 3*g. Find the first derivative of v(a) wrt a.
-2
Let c(j) be the third derivative of -5*j**8/112 - 7*j**4/12 + 14*j**2. What is the second derivative of c(a) wrt a?
-300*a**3
What is the third derivative of -12*s**2 - 23*s**4 - s**2 + 45*s**2 wrt s?
-552*s
Let x(m) be the second derivative of 0*m**7 + 0*m**5 + 0*m**3 + 0 - 1/4*m**4 - 2*m + 0*m**2 + 0*m**6 + 1/56*m**8. What is the third derivative of x(f) wrt f?
120*f**3
What is the second derivative of -78*w**3 + 78*w**3 + 0*w**5 - 10*w + 3*w**5 wrt w?
60*w**3
Let y(n) = -22*n - 2. Let l(w) = -22*w - 1. Let q(k) = 5*l(k) - 4*y(k). What is the first derivative of q(b) wrt b?
-22
Find the third derivative of -z**2 - 12*z**5 + 9*z**2 + 8*z**2 - 2*z**5 wrt z.
-840*z**2
Let d(y) = -y**3 + 3*y**2 + 4*y - 3. Let p be d(3). Find the third derivative of -2*u**2 + 5*u**2 - p*u**2 - 5*u**5 wrt u.
-300*u**2
What is the second derivative of -2 + 2 + 104*f**2 - 4*f - 97*f**2 wrt f?
14
Let q = 8 + -3. Let x(a) = 1. Let v(o) = 5*o**2 + 2*o - 5. Let y(u) = q*x(u) + v(u). Find the second derivative of y(f) wrt f.
10
Let m be (-2)/(-3) + 11 + -11. Let x(g) be the first derivative of -1 + 0*g - m*g**3 + 0*g**2 + 1/2*g**4. Find the third derivative of x(i) wrt i.
12
Let p be -4*-1*1/1. Suppose 3*m - 31 = -3*z - 2*m, 0 = -3*z - 4*m + 26. What is the second derivative of y - y**z - 4 + p wrt y?
-2
Find the third derivative of q**3 + 0*q**3 - 38*q**2 + 30*q**2 wrt q.
6
Let j(b) = 2*b**3 - 3*b**2 - 3*b + 1. Let t(c) = -2*c**3 + 4*c**2 + 4*c. Let n = -3 + 7. Let o(m) = n*j(m) + 3*t(m). Differentiate o(k) with respect to k.
6*k**2
Find the second derivative of -12*s - s**4 + 7*s + 6*s wrt s.
-12*s**2
Let j(o) = -o**3 - o + 1. Let i(q) = 40*q**3 + 33*q - 4. Let m(y) = -i(y) - 4*j(y). What is the second derivative of m(v) wrt v?
-216*v
Find the first derivative of 4 + 2 + 1 - 6*r**2 - 3 wrt r.
-12*r
Let z be (-9)/12 + (-15)/(-20). Let o(n) be the second derivative of -2*n + 1/12*n**4 - 1/3*n**3 + 0 + z*n**2. What is the second derivative of o(k) wrt k?
2
Let d = 8 - 4. Differentiate 2 - d + 3 + 2*u - 2 wrt u.
2
Suppose -3*u + 6 = -0*u. Find the first derivative of u*q - q - 1 - 3*q + 2 wrt q.
-2
Let a(z) be the second derivative of 29*z**6/30 - 2*z**2 + 20*z. Differentiate a(b) with respect to b.
116*b**3
Let r = 40 + -36. Let d(n) be the third derivative of 0 + 0*n + 1/60*n**5 - 1/6*n**r + 0*n**3 - 3*n**2. What is the second derivative of d(i) wrt i?
2
Let s(u) be the first derivative of u**6/10 + 2*u**2 + u + 2. Let a(q) be the first derivative of s(q). Differentiate a(t) wrt t.
12*t**3
Suppose 3*y + 6 = y. Let a = 0 - y. Differentiate a*q**3 - 43*q**2 - 4 + 43*q**2 wrt q.
9*q**2
Let g(x) be the third derivative of -5*x**9/504 + x**8/48 - 47*x**5/60 - 7*x**2 + 2. Find the third derivative of g(o) wrt o.
-600*o**3 + 420*o**2
Let y be 1*3*(4 - 3). What is the third derivative of y*u**3 - u**3 - 3*u**2 - 8*u**3 wrt u?
-36
Let c be (6/(-8))/(1/(-92)). Let j be c/15 - 2/(-5). Find the second derivative of -2*o + o**j - 2*o**5 + 3*o wrt o.
-20*o**3
Let i(g) be the second derivative of 7*g**6/15 - 14*g**2 + 8*g. Differentiate i(h) with respect to h.
56*h**3
Differentiate 8 - 16*t**3 - 7*t**2 + 7*t**2 - 21 wrt t.
-48*t**2
Let z(p) = p + 18. Let d be z(-15). What is the first derivative of 2 - d*s**3 + 2*s**3 - 13 wrt s?
-3*s**2
Let f(v) = v + 4. Let h be f(-4). Let j(o) be the first derivative of -1/4*o**4 - 1 - 1/2*o**2 + h*o**3 + 0*o. Find the second derivative of j(x) wrt x.
-6*x
Let y = -10 - -17. Find the first derivative of -1 + u + 4 - y wrt u.
1
Let l(w) be the second derivative of w**5/60 + w**4/12 + w**2 - 2*w. Let i(t) be the first derivative of l(t). What is the second derivative of i(r) wrt r?
2
Let r(k) be the third derivative of -7*k**5/30 - 3*k**3 - 16*k**2. Find the first derivative of r(v) wrt v.
-28*v
Find the third derivative of -4*d**4 + 4*d**2 - 3*d**2 - 3*d**4 wrt d.
-168*d
Find the third derivative of -6*y**2 + 4*y**4 + y**6 - 4*y**4 wrt y.
120*y**3
Let t be ((-27)/6 + 4)*-1*6. Let c(n) be the first derivative of 3 + 1/3*n**3 - t*n + 0*n**2. Differentiate c(a) wrt a.
2*a
Let a = 2 - 1. What is the third derivative of 3*j**2 - 2*j**4 - 1 - 4*j**4 + a wrt j?
-144*j
Let y(v) be the first derivative of v**4 + 3/2*v**2 + 0*v**3 + 0*v - 3. What is the second derivative of y(x) wrt x?
24*x
Let b be (6/9)/(2/6). What is the third derivative of -y + y + b*y**5 + y**5 - 3*y**2 wrt y?
180*y**2
Let y = -13 - -22. Let k = -4 + y. What is the second derivative of -3*w + w + 0*w - 2*w**k wrt w?
-40*w**3
Find the third derivative of -25*z**2 + 6*z**2 - 136*z**5 + 158*z**5 wrt z.
1320*z**2
Let j(z) = z**5 - z**4 + z**2 + z. Let q = 14 - 10. Let o(n) = -6*n**5 + 4*n**4 - n**2 - 4*n. Let t(a) = q*j(a) + o(a). Find the third derivative of t(g) wrt g.
-120*g**2
Let h(r) be the second derivative of -29*r**7/42 + r**4/6 - 7*r**3/2 - 55*r + 1. Find the third derivative of h(j) wrt j.
-1740*j**2
Let r(i) be the second derivative of -9*i**5/10 + i**4/3 + 14*i. Find the third derivative of r(v) wrt v.
-108
Let a(f) = f**3 + 5*f**2 - f + 3. Let j be a(-5). Find the third derivative of 0*w**5 - w**5 - j*w**2 + 3*w**5 wrt w.
120*w**2
Let m(f) be the third derivative of -f**7/840 - f**4/8 - f**3/6 - 3*f**2. Let c(g) be the first derivative of m(g). Differentiate c(h) with respect to h.
-3*h**2
Find the third derivative of 10*g**6 + 0*g**2 - 4*g**2 - 4*g**6 wrt g.
720*g**3
Let g be (-2 - -1)*(1 + -3). Find the second derivative of 6*k**2 - 3*k - 6*k**g + 3*k**4 wrt k.
36*k**2
Let t(n) = n. Let g be t(2). What is the third derivative of 5*y**g + 2*y - y**6 - 2*y wrt y?
-120*y**3
Let a = -9 + 12. What is the second derivative of 5*m - 3*m**3 - m**a - m**3 wrt m?
-30*m
Let k(x) = -1. Let v(n) = n**2 + 1. Let y(t) = -k(t) + 4*v(t). What is the first derivative of y(i) wrt i?
8*i
Let s be 1/(-3)*-15*1. Suppose -3*w = -4*x + 2*w + 28, 0 = s*x + 5*w + 10. What is the first derivative of -x + d - d - 2*d wrt d?
-2
Let q = 10 + -39/4. Let u(c) be the first derivative of 1 + c**2 + q*c**4 + 0*c + 0*c**3. What is the second derivative of u(i) wrt i?
6*i
Let v(i) = 3*i - 6. Let c be v(4). Let y = c - 2. Find the first derivative of -p**y - 1 - 2 + 0*p**2 + 0*p**2 wrt p.
-4*p**3
Let s(n) be the first derivative of 5 - 5*n - n + 0*n - n**2 + 5*n. Find the first derivative of s(g) wrt g.
-2
Differentiate -6 + 9*i + 1 - 8 + 17 wrt i.
9
Suppose -2*v + 2*u + 34 = 0, 4*u + 15 = 2*v - 21. Find the first derivative of 14 - 5*c**2 - 28 + v wrt c.
-10*c
Suppose -4*j + 104 = -24. Find the third derivative of 2*o**4 - 32 - 2*o**2 + j wrt o.
48*o
Let l(t) = t - 1. Suppose -3*x - 8 = -4*g, -3*g + 12 + 7 = x. Let q(k) = -2*k - 2*k + k + 4*k. Let h(d) = g*q(d) - 3*l(d). Differentiate h(m) wrt m.
2
Let j = -5/6 - -7/6. Let k(q) be the second derivative of 0 + 1/6*q**4 + 0*q**2 - q + j*q**3. What is the second derivative of k(h) wrt h?
4
What is the second derivative of 3*w - 9*w - 19*w**5 - 7*w wrt w?
-380*w**3
Let k(q) be the third derivative of 8*q**9/63 - q**5/4 + 8*q**2 + 1. What is the third derivative of k(d) wrt d?
7680*d**3
Find the third derivative of -1026*r**3 - 5*r**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
8).
7
Let p(h) = -7*h**2 - 90*h + 21. What is p(-13)?
8
Let s(f) = f**2 - 682*f + 30388. Determine s(48).
-44
Let m(y) = -8*y**2 - 14*y + 7. What is m(-3)?
-23
Let z(j) = 2*j**3 + 5*j**2 + j - 35. Give z(4).
177
Let d(l) = -l**3 + 99*l**2 - 91*l - 820. What is d(98)?
-134
Let u(d) = -d**3 + 5*d**2 + 86*d - 508. Determine u(7).
-4
Let s(l) = -3*l**2 - 39*l + 84. Give s(2).
-6
Let s(a) = -a**3 - 8*a**2 + 48*a - 65. Give s(-15).
790
Let f(u) = -2*u**3 - 28*u**2 + 63*u - 19. Calculate f(-16).
-3
Let s(m) = -17395*m + 2. What is s(0)?
2
Let g(a) = a**3 - 2*a**2 - 18*a - 28. Give g(-3).
-19
Let g(v) = 4*v + 106. Determine g(0).
106
Let t(v) = -v**3 - 3*v**2 - v + 3. Give t(-5).
58
Let v(c) = 3*c**2 - 7*c + 12. Determine v(5).
52
Let r(s) = -87*s**3 - 4*s**2 + 4*s - 1. Give r(1).
-88
Let g(m) = 5*m**2 + 322*m + 119. Determine g(-64).
-9
Let q(n) = 70*n + 52. Give q(-4).
-228
Let q(n) = -n**3 - 18*n**2 - 53*n + 25. What is q(-11)?
-239
Let p(y) = 53*y + 710. Calculate p(-13).
21
Let j(n) = 56*n**3 - n. Give j(-1).
-55
Let w(j) = -9*j**2 + 63*j - 8. Give w(7).
-8
Let f(z) = z**2 - 99*z + 87. Determine f(98).
-11
Let j(h) = 4569*h - 45690. Determine j(10).
0
Let u(c) = -1344*c - 6698. What is u(-5)?
22
Let s(j) = -46*j + 3324. What is s(76)?
-172
Let p(j) = -j**2 + 148*j - 4984. What is p(96)?
8
Let j(i) = -8*i**3 - 18*i**2 + 18*i + 1. Give j(1).
-7
Let l(h) = -115*h + 117. Determine l(-1).
232
Let b(l) = 2*l**3 - 174*l**2 - 906*l + 31. Determine b(-5).
-39
Let w(j) = 2*j**2 + 9*j - 8. Calculate w(-8).
48
Let a(f) = -f**3 - 163*f**2 - 5236*f - 1. What is a(-119)?
-1
Let j(t) = 9*t**3 - 46*t**2 + 22*t - 10. Calculate j(5).
75
Let l(k) = 2*k**2 + 187*k + 2705. Calculate l(-18).
-13
Let k(a) = 89*a - 962. Calculate k(9).
-161
Let c(b) = 270*b + 6209. Calculate c(-23).
-1
Let u(q) = -2*q**3 + 20*q**2 + 4*q - 18. What is u(9)?
180
Let m(j) = -j**3 - 4*j**2 - 194*j - 1234. What is m(-6)?
2
Let m(n) = -n**2 - 30*n - 49. What is m(-23)?
112
Let t(b) = 4*b**2 - 67*b + 282. What is t(8)?
2
Let p(i) = 2*i**2 - 33*i - 58. Determine p(19).
37
Let j(p) = 2*p**2 - 11*p - 29. What is j(-8)?
187
Let s(r) = -3*r**2 - 67*r + 22. Determine s(-22).
44
Let l(y) = -63*y + 602. Give l(9).
35
Let l(n) = 19*n + 151. Determine l(-24).
-305
Let c(o) = -o**3 - 4*o**2 + 18*o - 31. Determine c(-8).
81
Let w(i) = -410*i**2 + 63145*i - 770. Calculate w(154).
0
Let i(x) = 11*x**3 + 4*x**2 - 4. What is i(-1)?
-11
Let g(y) = y**3 - 6*y**2 - 17*y + 51. Give g(7).
-19
Let x(k) = -k**3 - 4*k**2 - 2*k + 14. Determine x(-3).
11
Let k(z) = -696*z - 20864. Give k(-30).
16
Let g(w) = -w**2 - 10. Calculate g(9).
-91
Let p(b) = b**2 + 13*b + 9. Give p(-5).
-31
Let s(l) = l**2 - 74*l + 349. Calculate s(5).
4
Let z(f) = 3*f**2 + 49*f + 157. What is z(-3)?
37
Let g(c) = 108*c - 15. Determine g(-1).
-123
Let n(c) = c**3 + 6*c**2 - 22*c - 26. Calculate n(-9).
-71
Let s(w) = 25*w**2 + 96*w + 67. Calculate s(-3).
4
Let a(t) = 50*t**3 - 7*t**2 - 5*t + 3. Calculate a(-2).
-415
Let z(s) = -11*s**2 + 14*s. Calculate z(2).
-16
Let q(x) = 2*x**2 + 142*x - 620. Give q(-75).
-20
Let q(w) = 5*w + 69. Calculate q(9).
114
Let g(z) = 37*z**2 + 207*z + 110. Determine g(-5).
0
Let q(k) = 596*k**2 + 6556*k - 13. Give q(-11).
-13
Let p(i) = -i**3 + 55*i**2 - 262*i + 595. Determine p(50).
-5
Let d(u) = 4*u**2 - 538*u - 4860. Calculate d(143).
2
Let m(b) = 13*b**2 - 600*b - 600. Calculate m(-1).
13
Let j(l) = -20*l - 62. Give j(-3).
-2
Let g(c) = -2*c**3 + 44*c**2 + 55*c - 153. Determine g(23).
54
Let y(t) = 1796*t - 7245. What is y(4)?
-61
Let y(r) = 10*r**2 - 53*r + 68. Calculate y(3).
-1
Let f(n) = 10*n**2 + 833*n + 191. What is f(-83)?
-58
Let f(q) = -3*q - 50. What is f(-32)?
46
Let g(d) = -77*d - 1700. Give g(-22).
-6
Let n(q) = -95*q**2 - 3*q - 4. What is n(-1)?
-96
Let w(m) = 3*m**3 + 8*m**2 + 11*m - 7. Give w(4).
357
Let m(c) = c**2 - 53*c + 696. Calculate m(24).
0
Let l(i) = 5*i**2 - 58*i + 5. Determine l(12).
29
Let q(f) = -f**3 - 3*f**2 + 4*f - 8. Calculate q(-5).
22
Let l(w) = w**3 - 8*w**2 - 23*w + 11. What is l(11)?
121
Let g(z) = 9*z**3 + 7*z**2 + 5*z - 4. Calculate g(-4).
-488
Let k(g) = -120*g**3 + 45*g**2 + 44*g - 3. Determine k(-1).
118
Let u(n) = -116*n + 13447. Determine u(116).
-9
Let c(h) = -647*h**3 + 3*h**2 - 4*h. Calculate c(1).
-648
Let a(c) = -14*c**3 - 81*c**2 + 15*c + 4. Determine a(-6).
22
Let m(l) = -l**3 - 14*l**2 + 57*l + 103. Calculate m(-17).
1
Let c(f) = -45*f - 428. Give c(-6).
-158
Let x(o) = -77*o + 1925. Give x(30).
-385
Let m(v) = 6*v + 77. Determine m(-13).
-1
Let v(l) = -29*l + 1174. Calculate v(42).
-44
Let l(o) = o**2 + 58*o - 1285. Determine l(17).
-10
Let l(p) = p**2 - 6*p - 195. Give l(0).
-195
Let j(i) = i**3 + 17*i**2 - i. Give j(-17).
17
Let d(v) = -1775*v - 166854. What is d(-94)?
-4
Let d(q) = -q**3 - 11*q**2 + 5*q + 30. Calculate d(-13).
303
Let m(k) = 40*k**3 + 515*k**2 - 66*k - 8. Determine m(-13).
5
Let r(d) = 5333*d - 10675. Determine r(2).
-9
Let n(d) = -2855*d - 65673. Determine n(-23).
-8
Let v(t) = -t**3 + 52*t**2 + 144*t + 1152. Determine v(55).
-3
Let o(u) = -u**3 - 32*u**2 - 89*u - 1794. Determine o(-31).
4
Let o(p) = p**3 - 58*p**2 - 59*p + 4. Determine o(59).
4
Let g(w) = 11*w**2 - 13*w - 4. Determine g(3).
56
Let s(t) = 11*t**2 + 36*t - 13. Determine s(-3).
-22
Let n(q) = -q**3 + 121*q**2 + 119*q + 364. Determine n(122).
-2
Let x(k) = 91*k - 1370. Determine x(15).
-5
Let w(j) = -2*j**2 - 46*j + 15. Give w(-26).
-141
Let d(j) = -4*j**2 - 288*j + 3. Determine d(-72).
3
Let r(u) = 160*u - 370. What is r(5)?
430
Let t(k) = -27*k + 22. Give t(3).
-59
Let o(v) = -v**3 - 130*v**2 + 129*v - 504. What is o(-131)?
-242
Let b(l) = -14*l**2 - 120*l + 1227. Give b(6).
3
Let s(t) = -4*t**3 + 6*t**2 + 24*t - 16. What is s(3)?
2
Let c(z) = -4*z - 27. Give c(-6).
-3
Let p(j) = -j**3 - 8*j**2 - 97*j - 639. Calculate p(-7).
-9
Let c(a) = a**2 + 112*a - 17292. Give c(87).
21
Let z(v) = -v**2 + 26*v - 49. Determine z(16).
111
Let s(i) = 19*i**2 - 259*i - 74. Give s(14).
24
Let w(p) = -p**3 + 37*p**2 + 49*p - 423. What is w(38)?
-5
Let k(v) = v**2 + 82*v + 1110. What is k(-45)?
-555
Let r(b) = 19*b + 33. Give r(10).
223
Let r(c) = 23*c + 214. Determine r(-4).
122
Let f(g) = g**2 + 17*g + 34. Calculate f(-15).
4
Let b(v) = 18*v**3 - 18*v**2 + 4*v - 3. Determine b(1).
1
Let i(j) = 2*j**2 - 18*j - 1789. What is i(-26)?
31
Let j(c) = 295*c - 2392. Give j(8).
-32
Let t(p) = -p**2 - 2559*p - 22935. Give t(-9).
15
Let x(w) = 12*w**3 + 479*w**2 - 38*w + 59. Calculate x(-40).
-21
Let u(b) = b**3 + 15*b**2 + 28*b - 72. Calculate u(-12).
24
Let s(r) = -54*r - 603. Give s(-11).
-9
Let g(f) = f**3 + 72*f**2 + 4*f + 243. Give g(-72).
-45
Let u(b) = 114*b - 664. Determine u(11).
590
Let n(v) = 1619*v - 21176. What is n(13)?
-129
Let y(r) = -74*r - 490. Calculate y(-7).
28
Let p(i) = -492*i - 908. What is p(-2)?
76
Let z(v) = 2*v**3 + 2278*v**2 + 13597*v + 3. What is z(-6)?
-3
Let y(r) = -r**2 + 28*r + 501. What is y(40)?
21
Let v(z) = -z**3 + 105*z**2 - 84*z - 2089. Calculate v(104).
-9
Let h(t) = 3*t**3 - 58*t**2 - 102*t - 48. Calculate h(21).
15
Let p(w) = 3*w**2 - 59*w + 306. Determine p(12).
30
Let g(o) = 22*o + 332. Determine g(-7).
178
Let n(s) = -570*s + 65531. What is n(115)?
-19
Let j(p) = p**2 + 113*p + 846. Determine j(-105).
6
Let w(a) = a**2 - 82*a - 814. What is w(-9)?
5
Let s(x) = 4*x**2 - 73*x + 199. Give s(3).
16
Let o(l) = -3*l**2 - 185*l - 120. Determine o(-61).
2
Let f(q) = -3*q**2 + 25*q + 57. Give f(10).
7
Let m(w) = -w**3 + 39*w**2 + 44*w - 160. Determine m(40).
0
Let y(h) = -677*h + 4072. Give y(6).
10
Let w(l) = -3*l**3 - 4*l**2 + 5*l + 16. Give w(4).
-220
Let g(b) = 165*b + 665. Give g(-4).
5
Let j(d) = -2*d**3 - 11*d**2 - 24*d + 1. Determine j(-5).
96
Let o(m) = -m**3 + 123*m**2 - 243*m + 118. Give o(121).
-3
Let o(v) = -v**3 - 8*v**2 + 110*v + 899. Give o(-9).
-10
Let u(i) = -3*i**2 + 2*i + 51. What is u(7)?
-82
Let c(j) = -319*j + 2888. Calculate c(9).
17
Let m(w) = 12*w**3 - w**2 + 9*w + 3. What is m(-3)?
-357
Let i(n) = -2*n**2 - 71*n - 212. Calculate i(-4).
40
Let n(z) = -3*z - 163. Give n(-4).
-151
Let i(x) = -19*x - 60. Give i(-3).
-3
Let a(t) = -2*t**3 - 181*t**2 + 465*t - 58. Calculate a(-93).
-58
Let f(m) = -24*m + 605. Give f(26).
-19
Let z(p) = 27
|
{
"pile_set_name": "DM Mathematics"
}
|
387?
1
What is the thousands digit of 63105?
3
What is the units digit of 1350?
0
What is the hundreds digit of 328?
3
What is the units digit of 740?
0
What is the units digit of 652?
2
What is the hundreds digit of 6447?
4
What is the thousands digit of 100950?
0
What is the thousands digit of 1739?
1
What is the thousands digit of 2183?
2
What is the units digit of 1193?
3
What is the units digit of 96923?
3
What is the ten thousands digit of 38439?
3
What is the units digit of 1140?
0
What is the tens digit of 1485?
8
What is the hundreds digit of 7070?
0
What is the units digit of 26244?
4
What is the hundreds digit of 4322?
3
What is the tens digit of 9040?
4
What is the units digit of 4654?
4
What is the hundreds digit of 32939?
9
What is the hundreds digit of 45606?
6
What is the units digit of 723?
3
What is the units digit of 1648?
8
What is the hundreds digit of 7679?
6
What is the hundreds digit of 339?
3
What is the tens digit of 202?
0
What is the units digit of 190529?
9
What is the units digit of 4034?
4
What is the hundreds digit of 275?
2
What is the tens digit of 851?
5
What is the hundreds digit of 85096?
0
What is the thousands digit of 3854?
3
What is the hundreds digit of 334?
3
What is the tens digit of 1810?
1
What is the units digit of 232?
2
What is the tens digit of 9661?
6
What is the units digit of 3460?
0
What is the units digit of 104281?
1
What is the units digit of 763?
3
What is the units digit of 30600?
0
What is the units digit of 37143?
3
What is the hundreds digit of 9911?
9
What is the units digit of 11829?
9
What is the hundreds digit of 14483?
4
What is the hundreds digit of 14839?
8
What is the tens digit of 790?
9
What is the tens digit of 6619?
1
What is the tens digit of 11056?
5
What is the units digit of 7553?
3
What is the hundreds digit of 12912?
9
What is the tens digit of 8205?
0
What is the thousands digit of 24648?
4
What is the tens digit of 43805?
0
What is the thousands digit of 2779?
2
What is the tens digit of 21710?
1
What is the hundreds digit of 17479?
4
What is the hundreds digit of 914?
9
What is the hundreds digit of 440?
4
What is the hundreds digit of 337?
3
What is the ten thousands digit of 16899?
1
What is the ten thousands digit of 10880?
1
What is the hundreds digit of 4802?
8
What is the hundreds digit of 171183?
1
What is the tens digit of 3921?
2
What is the units digit of 845?
5
What is the hundred thousands digit of 179622?
1
What is the units digit of 2193?
3
What is the units digit of 3785?
5
What is the ten thousands digit of 22621?
2
What is the thousands digit of 16554?
6
What is the hundreds digit of 18723?
7
What is the hundreds digit of 4801?
8
What is the units digit of 652?
2
What is the hundreds digit of 2270?
2
What is the hundred thousands digit of 129703?
1
What is the tens digit of 3538?
3
What is the thousands digit of 2149?
2
What is the units digit of 376?
6
What is the tens digit of 244?
4
What is the units digit of 2314?
4
What is the units digit of 8205?
5
What is the units digit of 11213?
3
What is the tens digit of 1064?
6
What is the ten thousands digit of 27600?
2
What is the units digit of 24434?
4
What is the tens digit of 40305?
0
What is the hundreds digit of 125075?
0
What is the tens digit of 4335?
3
What is the thousands digit of 1960?
1
What is the thousands digit of 2631?
2
What is the units digit of 3715?
5
What is the tens digit of 48341?
4
What is the thousands digit of 28200?
8
What is the units digit of 1231?
1
What is the hundreds digit of 158?
1
What is the ten thousands digit of 67501?
6
What is the units digit of 421?
1
What is the thousands digit of 4459?
4
What is the units digit of 50580?
0
What is the hundreds digit of 106826?
8
What is the hundreds digit of 642?
6
What is the tens digit of 792?
9
What is the units digit of 40666?
6
What is the hundreds digit of 735?
7
What is the hundreds digit of 4464?
4
What is the units digit of 11797?
7
What is the thousands digit of 7759?
7
What is the thousands digit of 1017?
1
What is the tens digit of 577?
7
What is the hundreds digit of 8724?
7
What is the units digit of 524?
4
What is the units digit of 2069?
9
What is the hundreds digit of 410?
4
What is the hundreds digit of 13492?
4
What is the hundreds digit of 1935?
9
What is the tens digit of 14497?
9
What is the tens digit of 7069?
6
What is the thousands digit of 1332?
1
What is the ten thousands digit of 14498?
1
What is the hundreds digit of 3290?
2
What is the hundreds digit of 57454?
4
What is the hundreds digit of 787?
7
What is the thousands digit of 8163?
8
What is the hundreds digit of 2642?
6
What is the hundreds digit of 73071?
0
What is the units digit of 138392?
2
What is the tens digit of 94?
9
What is the hundreds digit of 38507?
5
What is the hundreds digit of 8794?
7
What is the tens digit of 1413?
1
What is the hundreds digit of 24295?
2
What is the ten thousands digit of 80779?
8
What is the ten thousands digit of 27477?
2
What is the units digit of 593?
3
What is the hundreds digit of 625?
6
What is the thousands digit of 8070?
8
What is the tens digit of 291?
9
What is the tens digit of 192?
9
What is the hundreds digit of 72856?
8
What is the hundreds digit of 40562?
5
What is the tens digit of 113763?
6
What is the units digit of 375?
5
What is the tens digit of 21?
2
What is the hundreds digit of 177?
1
What is the units digit of 12237?
7
What is the units digit of 7487?
7
What is the tens digit of 81948?
4
What is the thousands digit of 3197?
3
What is the tens digit of 227?
2
What is the hundreds digit of 843?
8
What is the units digit of 1709?
9
What is the units digit of 454?
4
What is the tens digit of 877?
7
What is the hundreds digit of 1381?
3
What is the units digit of 5558?
8
What is the tens digit of 4878?
7
What is the hundreds digit of 221?
2
What is the thousands digit of 95156?
5
What is the tens digit of 426?
2
What is the tens digit of 46239?
3
What is the tens digit of 54627?
2
What is the tens digit of 26700?
0
What is the units digit of 724?
4
What is the tens digit of 10398?
9
What is the units digit of 6087?
7
What is the thousands digit of 18673?
8
What is the units digit of 6718?
8
What is the thousands digit of 7277?
7
What is the thousands digit of 7565?
7
What is the thousands digit of 42094?
2
What is the tens digit of 2206?
0
What is the units digit of 144?
4
What is the ten thousands digit of 89292?
8
What is the tens digit of 246?
4
What is the tens digit of 57636?
3
What is the tens digit of 3042?
4
What is the tens digit of 2030?
3
What is the thousands digit of 41241?
1
What is the hundreds digit of 998?
9
What is the hundreds digit of 47430?
4
What is the hundreds digit of 84263?
2
What is the thousands digit of 6071?
6
What is the thousands digit of 15968?
5
What is the thousands digit of 48978?
8
What is the tens digit of 27233?
3
What is the hundreds digit of 5012?
0
What is the ten thousands digit of 25052?
2
What is the tens digit of 4398?
9
What is the thousands digit of 1688?
1
What is the units digit of 86954?
4
What is the hundreds digit of 708?
7
What is the hundreds digit of 10449?
4
What is the ten thousands digit of 19690?
1
What is the tens digit of 23168?
6
What is the hundreds digit of 578?
5
What is the thousands digit of 10211?
0
What is the tens digit of 2733?
3
What is the thousands digit of 7067?
7
What is the units digit of 8604?
4
What is the thousands digit of 1425?
1
What is the hundreds digit of 2436?
4
What is the tens digit of 44116?
1
What is the hundreds digit of 742?
7
What is the thousands digit of 10103?
0
What is the hundreds digit of 3683?
6
What is the tens digit of 932?
3
What is the units digit of 3591?
1
What is the tens digit of 1539?
3
What is the hundreds digit of 5271?
2
What is the thousands digit of 1013?
1
What is the hundreds digit of 876?
8
What is the hundreds digit of 396?
3
What is the hundreds digit of 66836?
8
What is the thousands digit of 12282?
2
What is the tens digit of 2247?
4
What is the thousands digit of 1420?
1
What is the tens digit of 59?
5
What is the hundreds digit of 3950?
9
What is the thousands digit of 2293?
2
What is the units digit of 3255?
5
What is the thousands digit of 12815?
2
What
|
{
"pile_set_name": "DM Mathematics"
}
|
?
289
What is 154 minutes before 5:13 PM?
2:39 PM
What is 595 minutes after 4:54 AM?
2:49 PM
What is 665 minutes after 5:06 AM?
4:11 PM
What is 332 minutes before 11:09 PM?
5:37 PM
What is 27 minutes after 1:45 AM?
2:12 AM
What is 707 minutes after 3:45 PM?
3:32 AM
How many minutes are there between 3:43 AM and 8:22 AM?
279
How many minutes are there between 5:33 AM and 3:15 PM?
582
What is 707 minutes after 2:00 PM?
1:47 AM
How many minutes are there between 8:34 PM and 7:53 AM?
679
What is 482 minutes before 1:16 AM?
5:14 PM
How many minutes are there between 8:04 AM and 9:13 AM?
69
How many minutes are there between 7:31 PM and 4:59 AM?
568
What is 454 minutes before 8:20 AM?
12:46 AM
What is 663 minutes after 1:39 AM?
12:42 PM
What is 366 minutes after 4:44 PM?
10:50 PM
What is 127 minutes before 12:53 PM?
10:46 AM
How many minutes are there between 10:48 PM and 9:15 AM?
627
What is 67 minutes before 11:34 AM?
10:27 AM
How many minutes are there between 8:25 AM and 4:46 PM?
501
What is 305 minutes before 8:22 AM?
3:17 AM
What is 482 minutes after 2:03 PM?
10:05 PM
What is 570 minutes after 2:10 AM?
11:40 AM
How many minutes are there between 8:02 PM and 8:14 PM?
12
How many minutes are there between 7:59 AM and 4:33 PM?
514
How many minutes are there between 1:02 PM and 1:11 PM?
9
How many minutes are there between 5:43 PM and 8:02 PM?
139
What is 237 minutes before 7:29 PM?
3:32 PM
How many minutes are there between 1:45 PM and 1:10 AM?
685
How many minutes are there between 3:24 PM and 4:27 PM?
63
How many minutes are there between 2:48 AM and 3:13 AM?
25
What is 19 minutes after 3:23 PM?
3:42 PM
What is 605 minutes after 7:03 AM?
5:08 PM
How many minutes are there between 9:56 PM and 6:01 AM?
485
What is 667 minutes after 7:49 AM?
6:56 PM
What is 459 minutes before 5:14 PM?
9:35 AM
What is 120 minutes before 7:30 AM?
5:30 AM
How many minutes are there between 1:42 PM and 10:26 PM?
524
How many minutes are there between 2:33 PM and 6:02 PM?
209
How many minutes are there between 1:02 PM and 12:33 AM?
691
What is 485 minutes after 11:11 AM?
7:16 PM
What is 646 minutes before 11:22 PM?
12:36 PM
What is 657 minutes after 10:34 AM?
9:31 PM
How many minutes are there between 12:28 AM and 11:48 AM?
680
How many minutes are there between 10:27 AM and 12:33 PM?
126
What is 372 minutes after 9:58 PM?
4:10 AM
What is 687 minutes after 10:05 AM?
9:32 PM
How many minutes are there between 7:20 PM and 9:03 PM?
103
What is 463 minutes before 7:27 AM?
11:44 PM
What is 317 minutes after 12:57 AM?
6:14 AM
What is 76 minutes before 9:22 PM?
8:06 PM
What is 682 minutes after 7:20 PM?
6:42 AM
How many minutes are there between 7:55 PM and 8:58 PM?
63
How many minutes are there between 9:55 AM and 6:54 PM?
539
What is 355 minutes after 9:07 PM?
3:02 AM
How many minutes are there between 3:23 AM and 5:40 AM?
137
How many minutes are there between 6:30 AM and 6:19 PM?
709
What is 67 minutes after 1:35 PM?
2:42 PM
What is 715 minutes before 2:19 AM?
2:24 PM
What is 643 minutes before 12:51 PM?
2:08 AM
What is 439 minutes before 12:32 PM?
5:13 AM
What is 703 minutes before 2:26 AM?
2:43 PM
What is 132 minutes after 5:18 AM?
7:30 AM
How many minutes are there between 10:10 PM and 8:33 AM?
623
What is 643 minutes before 7:12 PM?
8:29 AM
How many minutes are there between 3:10 PM and 7:34 PM?
264
What is 501 minutes before 12:22 AM?
4:01 PM
What is 691 minutes before 8:42 PM?
9:11 AM
How many minutes are there between 11:35 AM and 4:40 PM?
305
How many minutes are there between 5:04 AM and 7:33 AM?
149
What is 130 minutes after 5:12 PM?
7:22 PM
What is 428 minutes after 9:39 AM?
4:47 PM
How many minutes are there between 3:44 AM and 8:59 AM?
315
How many minutes are there between 6:51 PM and 3:03 AM?
492
What is 367 minutes before 10:46 PM?
4:39 PM
What is 480 minutes after 7:16 AM?
3:16 PM
What is 496 minutes after 1:29 AM?
9:45 AM
What is 605 minutes before 5:56 PM?
7:51 AM
What is 573 minutes before 7:14 AM?
9:41 PM
How many minutes are there between 1:39 AM and 11:28 AM?
589
What is 703 minutes after 3:15 AM?
2:58 PM
How many minutes are there between 9:04 AM and 11:54 AM?
170
What is 391 minutes after 5:50 AM?
12:21 PM
How many minutes are there between 1:01 AM and 9:24 AM?
503
How many minutes are there between 8:41 PM and 6:38 AM?
597
What is 573 minutes before 10:27 AM?
12:54 AM
What is 137 minutes after 11:00 AM?
1:17 PM
How many minutes are there between 1:06 PM and 5:20 PM?
254
What is 136 minutes after 6:13 AM?
8:29 AM
What is 599 minutes before 2:10 AM?
4:11 PM
How many minutes are there between 4:41 PM and 9:01 PM?
260
How many minutes are there between 8:33 PM and 3:32 AM?
419
What is 166 minutes before 10:50 AM?
8:04 AM
What is 53 minutes before 4:56 AM?
4:03 AM
How many minutes are there between 10:52 PM and 8:25 AM?
573
What is 327 minutes after 8:21 PM?
1:48 AM
What is 582 minutes before 10:50 AM?
1:08 AM
How many minutes are there between 2:06 PM and 9:39 PM?
453
How many minutes are there between 9:45 AM and 7:04 PM?
559
How many minutes are there between 2:40 PM and 10:40 PM?
480
What is 145 minutes after 1:18 AM?
3:43 AM
How many minutes are there between 5:34 AM and 7:03 AM?
89
What is 59 minutes after 4:10 PM?
5:09 PM
What is 252 minutes after 3:20 PM?
7:32 PM
How many minutes are there between 7:42 PM and 8:18 PM?
36
What is 120 minutes before 7:24 AM?
5:24 AM
How many minutes are there between 5:24 PM and 1:14 AM?
470
What is 456 minutes after 11:49 PM?
7:25 AM
How many minutes are there between 10:14 PM and 7:58 AM?
584
What is 581 minutes after 11:53 AM?
9:34 PM
How many minutes are there between 5:02 PM and 11:50 PM?
408
How many minutes are there between 4:50 PM and 7:19 PM?
149
What is 595 minutes before 11:24 AM?
1:29 AM
How many minutes are there between 4:23 PM and 5:05 PM?
42
What is 414 minutes after 2:33 AM?
9:27 AM
What is 564 minutes after 4:39 PM?
2:03 AM
What is 154 minutes before 8:10 AM?
5:36 AM
What is 552 minutes after 4:03 PM?
1:15 AM
How many minutes are there between 1:17 PM and 3:36 PM?
139
What is 53 minutes after 6:36 PM?
7:29 PM
What is 153 minutes after 3:06 AM?
5:39 AM
What is 660 minutes after 8:41 AM?
7:41 PM
What is 211 minutes before 6:20 PM?
2:49 PM
How many minutes are there between 4:04 PM and 1:45 AM?
581
How many minutes are there between 11:36 PM and 2:40 AM?
184
What is 324 minutes before 1:43 PM?
8:19 AM
What is 644 minutes after 1:27 AM?
12:11 PM
What is 40 minutes after 3:30 PM?
4:10 PM
How many minutes are there between 10:00 AM and 7:44 PM?
584
How many minutes are there between 7:48 AM and 10:52 AM?
184
How many minutes are there between 3:44 AM and 6:23 AM?
159
What is 553 minutes after 5:40 AM?
2:53 PM
How many minutes are there between 4:40 PM and 9:14 PM?
274
How many minutes are there between 1:12 AM and 10:18 AM?
546
How many minutes are there between 6:05 AM and 9:22 AM?
197
How many minutes are there between 6:41 AM and 5:20 PM?
639
How many minutes are there between 9:24 PM and 5:25 AM?
481
What is 144 minutes after 7:20 AM?
9:44 AM
How many minutes are there between 12:18 AM and 10:57 AM?
639
How many minutes are there between 9:57 PM and 7:27 AM?
570
What is 652 minutes before 8:48 PM?
9:56 AM
What is 159 minutes before 3:30 AM?
12:51 AM
How many minutes are there between 10:26 AM and 8:37 PM?
611
How many minutes are there between 8:07 AM and 9:24 AM?
77
How many minutes are there between 7:10 PM and 7:20 PM?
10
How many minutes are there between 2:26 AM and 1:54 PM?
688
What is 304 minutes before 8:31 PM?
3:27 PM
How many minutes are there between 2:14 AM and 11:32 AM?
558
How many minutes are there between 2:37 PM and 9:19 PM?
402
How many minutes are there between 10:29 AM and 3:38 PM?
309
What is 616 minutes after 10:04 PM?
8:20 AM
How many minutes are there between 8:46 PM and 9:30 PM?
44
How many minutes are there between 10:42 PM and 11:20 PM?
38
What is 520 minutes before 11:13 AM?
2:33 AM
What is 265 minutes after 4:04 AM?
8:29 AM
How many minutes are there between 10:34 AM and 12:58 PM?
144
How many minutes are there between 9:37 PM and 5:38 AM?
481
What is 98 minutes before 1:00 AM?
11:22 PM
How many minutes are there between 2:49 PM and 11:56 PM?
547
How many minute
|
{
"pile_set_name": "DM Mathematics"
}
|
.
9
Simplify (sqrt(2448) + (sqrt(2448) + 2*sqrt(2448) + -5 - sqrt(2448)) + -4 + sqrt(2448)*-2 - (-4*((sqrt(2448) - -1*sqrt(2448)) + 1))**2)*-3.
2268*sqrt(17) + 470091
Simplify (sqrt(11) - (sqrt(11)*3 + 2) - (sqrt(11) + (sqrt(11) + -6*-4*sqrt(11) + sqrt(11))**2)) + -4.
-7442 - 3*sqrt(11)
Simplify -1 + 2*5*-2*(-6*sqrt(128) - sqrt(128)).
-1 + 1120*sqrt(2)
Simplify ((sqrt(500) + (-1*sqrt(500) + 4 - sqrt(500)) - sqrt(500) - sqrt(500))**2 + ((sqrt(20))**2*1 - (sqrt(15)/sqrt(3) + 4)))*1.
-241*sqrt(5) + 4532
Simplify (sqrt(21)*2*-5 + sqrt(231)/(sqrt(11)*-2))/(sqrt(567)*2 + sqrt(7) + sqrt(63)*2).
-21*sqrt(3)/50
Simplify (-3*4*sqrt(136))/(-4*sqrt(392)).
3*sqrt(17)/7
Simplify ((sqrt(176) - (2*sqrt(176) + 4)) + sqrt(121)/(sqrt(539)*-2))**2.
228*sqrt(11)/7 + 38875/196
Simplify (sqrt(228) + (sqrt(228) + sqrt(228)*2)*-2 + sqrt(228) + (-2*sqrt(228) - sqrt(228))*2)/(sqrt(48)/(sqrt(4)*-2*3 - sqrt(4) - sqrt(4))).
80*sqrt(19)
Simplify 3 + -1*(sqrt(132) + ((-1*sqrt(132) + sqrt(132) + sqrt(132))*-3 - sqrt(132) - sqrt(132) - sqrt(132)))/((sqrt(108)*3)/sqrt(9)).
3 + 5*sqrt(11)/3
Simplify ((3 + (-4 + -4 + sqrt(176) - sqrt(176)) + sqrt(176))*1)**2*-6.
-1206 + 240*sqrt(11)
Simplify ((sqrt(70)*2 + sqrt(70))*5 + sqrt(70) - 6*sqrt(70)*1)/(sqrt(50)/sqrt(45)*1).
30*sqrt(7)
Simplify -1*(sqrt(243)*2 + 2) - (sqrt(243) + sqrt(243) + sqrt(243) + 1 + sqrt(243) + -1 + 3)**2.
-3899 - 234*sqrt(3)
Simplify (((3*sqrt(1029) + sqrt(1029) + sqrt(1029))*-1)/(sqrt(21)/sqrt(75) - (sqrt(847) + (-1*sqrt(847) - sqrt(847)) + sqrt(847))))**2.
91875
Simplify (sqrt(76) - (-2*(sqrt(76) - (sqrt(76)*-1 - sqrt(76))) - sqrt(76)) - sqrt(76)*-2*4)/((5*sqrt(40)*-2 + sqrt(40))/sqrt(10)).
-16*sqrt(19)/9
Simplify 4*(-1*2*sqrt(76)*-2 + -2).
-8 + 32*sqrt(19)
Simplify ((2*sqrt(132)*5*2)/(sqrt(36)/((sqrt(72)/sqrt(3))/sqrt(8))))**2*4.
17600
Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))) + sqrt(77))*3 - 2*1*sqrt(77))/((2*sqrt(448) - sqrt(448))*1).
13*sqrt(11)/8
Simplify (2 + (-3*sqrt(475)*-3 - sqrt(475) - (-4 + sqrt(475) + 3)))**2.
210*sqrt(19) + 23284
Simplify (-2*sqrt(108))/sqrt(9) + sqrt(12) - ((sqrt(270) - sqrt(270)*-3)/sqrt(10))/sqrt(9).
-6*sqrt(3)
Simplify (1*sqrt(432)*4*3 - ((sqrt(432) - (sqrt(432) + -2 + sqrt(432) + sqrt(432) + 3 - sqrt(432))) + 1))**2.
73008
Simplify -2*-6*(-1 + sqrt(99) + -3 + sqrt(99) + 5 + 1*sqrt(99)).
12 + 108*sqrt(11)
Simplify (sqrt(22)*-3*1)/(sqrt(20)/(sqrt(10) + (sqrt(10) - sqrt(160)) + sqrt(10))).
3*sqrt(11)
Simplify 3 + (sqrt(1584) + 3 + sqrt(11) - (sqrt(11) - (sqrt(539) + (sqrt(539) + (sqrt(539) - (0 + sqrt(539) + sqrt(539))) + sqrt(539))**2))).
19*sqrt(11) + 545
Simplify -4*(2 + sqrt(75)) + ((2*sqrt(21) + sqrt(21))/sqrt(7) + 1)**2.
-14*sqrt(3) + 20
Simplify 3 + 5 + (sqrt(125)/(sqrt(5) + sqrt(5)*2))/sqrt(1280).
sqrt(5)/48 + 8
Simplify 5 + (sqrt(125) + 2 + sqrt(125) + 0)*-4.
-40*sqrt(5) - 3
Simplify -3*(6*(-1 + sqrt(2299)) + -5*(sqrt(2299)*1)**2).
-198*sqrt(19) + 34503
Simplify (sqrt(102)/((sqrt(72)*-1)/sqrt(12)) - (4*(sqrt(153) + sqrt(17)) - (sqrt(1700) + 1)))**2.
-14*sqrt(17) + 834
Simplify ((sqrt(1900) + (sqrt(1900) + 1 + sqrt(1900) - sqrt(1900)) + 2 - sqrt(1900))**2 + -1)*-6.
-11448 - 360*sqrt(19)
Simplify -2 + (5 + sqrt(4032) + 0 + sqrt(4032) - ((sqrt(28) + sqrt(252)*4)**2 - (sqrt(28) - (-4 + -2*sqrt(28))**2))).
-4857 + 18*sqrt(7)
Simplify sqrt(88)/((sqrt(200) + sqrt(8))*4) + (sqrt(396) + 1 + (sqrt(396) + -2 - sqrt(396)))**2.
-287*sqrt(11)/24 + 397
Simplify (3*sqrt(152)*-1 - sqrt(152))/(sqrt(24)/sqrt(3)*-3)*-4.
-16*sqrt(19)/3
Simplify 5*(sqrt(95)/sqrt(5) + -3)**2 + 3*((sqrt(19) + -2)*-5 - sqrt(19)) + 1.
-48*sqrt(19) + 171
Simplify (-1*sqrt(66)*-1)/(sqrt(150) - (1*sqrt(150) - sqrt(150))) + 6*(0 + sqrt(11)) + 4 + sqrt(55)/sqrt(5).
4 + 36*sqrt(11)/5
Simplify -4*(sqrt(16)/(sqrt(8)/sqrt(2)))/(sqrt(108)/sqrt(6)).
-4*sqrt(2)/3
Simplify 5*(sqrt(80) + 0 + sqrt(5)) - (-2 + sqrt(720) + -2).
4 + 13*sqrt(5)
Simplify (3 + (sqrt(2736) - -2*sqrt(2736)*1 - 3*sqrt(2736)*3) + 1)**2.
-576*sqrt(19) + 98512
Simplify 0 + (-5*(sqrt(272) + 4*sqrt(272)))**2 + 0.
170000
Simplify (-1*-6*sqrt(468)*1*1)**2 + -4.
16844
Simplify -1*-3*((sqrt(70) - sqrt(70)*2)/sqrt(10) - (-1 + sqrt(28))).
-9*sqrt(7) + 3
Simplify (sqrt(152) + (sqrt(152) - ((2*sqrt(152) + sqrt(152))*-4 + sqrt(152))) + (5*-1*sqrt(152) - sqrt(152)))/((sqrt(16) + (-2*sqrt(144))/sqrt(9))/sqrt(2)).
-7*sqrt(19)
Simplify -3*(4*(sqrt(204) + -1*sqrt(204))*-3)/(sqrt(36)/(sqrt(363)*1)).
0
Simplify ((sqrt(7) - sqrt(49)/(sqrt(7) + (sqrt(42)/sqrt(6) - sqrt(7)))) + 4 - (5 + sqrt(7) + -1 + sqrt(42)/sqrt(150)))**2.
252/25
Simplify (4*(sqrt(190)*1 + sqrt(190))*1)/(sqrt(160)*3 - (sqrt(110) + sqrt(110) + (sqrt(110) - sqrt(110)*2) + sqrt(110))/sqrt(11)).
4*sqrt(19)/5
Simplify -4 + (((2 + sqrt(19))*2 - sqrt(19)) + (sqrt(19) - (1 + sqrt(76))) + sqrt(19))*1.
-1 + sqrt(19)
Simplify -1*(5 + 2 + 4*(sqrt(1377) - (sqrt(1377) + sqrt(1377)*-2)))**2*6.
-529062 - 6048*sqrt(17)
Simplify -4*(-2*(sqrt(468)*-5)**2 + (sqrt(468)*2 + sqrt(468))*1).
-72*sqrt(13) + 93600
Simplify ((sqrt(18) + 5*sqrt(18))*-3)/(3*sqrt(900)).
-3*sqrt(2)/5
Simplify -5*(3 + ((1 + sqrt(1573) - sqrt(1573)) + 1 + sqrt(1573) + sqrt(1573)*2*2)**2).
-196660 - 1100*sqrt(13)
Simplify -5*(sqrt(2835)*1*-3)/(-4*-1*sqrt(5) - (1*sqrt(45))/sqrt(9)).
45*sqrt(7)
Simplify ((sqrt(14) + (sqrt(168) + -1*sqrt(168) - sqrt(168))/sqrt(12))/(sqrt(8) - ((sqrt(72) - sqrt(8)) + sqrt(8))))**2.
0
Simplify (-3 + (sqrt(3840) + (sqrt(3840) - ((sqrt(3840) + 2*sqrt(3840) - sqrt(3840)) + sqrt(3840))))/(sqrt(768)*2))**2.
3*sqrt(5) + 41/4
Simplify -4*((0 + 1*sqrt(612) - ((sqrt(612) + (sqrt(612) - (-2 + 1 + sqrt(612))))**2 - sqrt(612))) + 3 + 2).
2432
Simplify 1*(1 + sqrt(567)*-2)**2 - ((sqrt(77)*-1*1)/(1*sqrt(396)))**2.
-36*sqrt(7) + 81677/36
Simplify (-1*(-1 + sqrt(343))**2 - sqrt(343) - (1*sqrt(343) + 2)) + -1 + ((sqrt(343) - (3 + sqrt(343))) + -1 + sqrt(343))**2.
-56*sqrt(7) + 12
Simplify 1 + ((sqrt(180) + (sqrt(180) - ((sqrt(180) - 1*sqrt(180))*2 - sqrt(180)) - sqrt(180)) + sqrt(180))/(sqrt(9) - sqrt(1296)*-1))**2*-4.
-551/169
Simplify (sqrt(156)*1*-6*4)/((-3*((sqrt(144) - (sqrt(144) + -1*sqrt(144))) + sqrt(144)))/sqrt(12)).
4*sqrt(13)
Simplify (sqrt(112) + 1 + 5 + 4 + -2)**2 + 3 + 0.
64*sqrt(7) + 179
Simplify (0 + 1 + sqrt(80))**2 - -1*(sqrt(180) - sqrt(5))*5.
33*sqrt(5) + 81
Simplify -3*(-3*(sqrt(475) + 3) + 3*(sqrt(475) + (sqrt(475) - (-4 + sqrt(475)) - sqrt(475)) + sqrt(475)) + sqrt(475))**2.
-1452 - 90*sqrt(19)
Simplify ((1 + -4 + sqrt(700) + sqrt(7))*2 + 0)**2.
-264*sqrt(7) + 3424
Simplify -2*((sqrt(4)/sqrt(72) - sqrt(12)/(sqrt(6)*-1)) + -2)*-3.
-12 + 7*sqrt(2)
Simplify (-6*sqrt(204)*-4*-5)/(sqrt(132)/((sqrt(11)*3*-2 - sqrt(11)) + sqrt(11) - sqrt(11))).
840*sqrt(17)
Simplify -4*(sqrt(75) + (sqrt(75) + -3)*6)**2*6.
-95976 + 30240*sqrt(3)
Simplify ((sqrt(35) + sqrt(105)/(sqrt(6)/sqrt(2)))/((sqrt(70)*2)/sqrt(10)))**2 + (sqrt(240)/((sqrt(8) - sqrt(16)/sqrt(2)) + sqrt(8)))/(sqrt(18)/sqrt(3)*-5).
-sqrt(5)/5 + 5
Simplify 0 + (sqrt(7)*-4 + sqrt(7))**2*-4 + 1*sqrt(28) + sqrt(28) + (sqrt(21)/sqrt(27))**2.
-2261/9 + 4*sqrt(7)
Simplify (sqrt(52)/sqrt(4) + 3 + 5 + -4 + sqrt(78)/sqrt(54))**2.
32*sqrt(13)/3 + 352/9
Simplify -1 + 2*(((3 + sqrt(252) + sqrt(252))*3)**2 + 1).
1296*sqrt(7) + 18307
Simplify sqrt(3)*-3*-1*-6 + (sqrt(3) + sqrt(30)/sqrt(360))*-1.
-115*sqrt(3)/6
Simplify ((sqrt(1152) - sqrt(1152)*2) + sqrt(1152) - sqrt(1152))/((sqrt(8)*3)/sqrt(2)).
-4*sqrt(2)
Simplify (sqrt(48)/sqrt(64))/(sqrt(8)/(-3*sqrt(2)))*5.
-15*sqrt(3)/4
Simplify ((3 + -1 + sqrt(147)*1)*1 + 1)**2.
42*sqrt(3) + 156
Simplify (sqrt(378) - (sqrt(378) + (-3*sqrt(378) - sqrt(378))))/(sqrt(66)/(sqrt(11)*-1) - sqrt(6)).
-6*sqrt(7)
Simplify (0 + (4*sqrt(208) - sqrt(208)))**2 - (3 + sqrt(208)*-2)**2.
48*sqrt(13) + 1031
Simplify -2*(6*(-6*sqrt(28)/sqrt(2))/(sqrt(2)*-5*-4))**2.
-1134/25
Simplify (0 + -5*(-5*(sqrt(343) + 1) + (1 + sqrt(343))*2))**2*5.
15750*sqrt(7) + 387000
Simplify ((-1 + sqrt(304))*-3 + -5)**2 - (3 + sqrt(304)*-1 + -4).
52*sqrt(19) + 2741
Simplify (-2 + -1 + sqrt(19) - (sqrt(19)*-1*4)**2) + (-1 + sqrt(684))*2.
-309 + 13*sqrt(19)
Simplify (sqrt(648)*-2 + sqrt(18) + -3*sqrt(72)/sqrt(4) + sqrt(18))/(3*sqrt(576)/sqrt(4)).
-13*sqrt(2)/12
Simplify ((-4*1*sqrt(1029))/(sqrt(147) - (-5*(sqrt(147) - sqrt(147)*1) - sqrt(147))))**2.
2
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = 1424*t - 1440*t + 776368. Is t composite?
False
Is 2 - (5 + -7)/((12/(-367203))/(-2)) composite?
True
Suppose -49*j + 51*j + 8 = 0. Is 2 + j + 4 - -975 prime?
True
Let l be (14 + -2)*(-1)/2. Let b(x) = 2*x + 14. Let n be b(l). Is 9/(1 + n) - -68 a composite number?
False
Let g(y) = 15*y + 96. Let d be g(-7). Is 1/(2/10*d/(-207)) prime?
False
Suppose 2*c = -7*c + 303804. Suppose 4*d - 16 = 4*k, -3*d = -4*k - d - 14. Is (c/6)/(-2 + (k - -7)) a prime number?
False
Let a be (-12)/20 - 122/5. Is -1061*(a - -5)/4 a composite number?
True
Suppose 2*m = 4*w + 50886, 0 = -7*m + 3*m + 6*w + 101762. Is m a composite number?
True
Let j(r) = -r**2 + 3. Let z be j(-1). Let y be (z/3)/((-12)/(-54)). Suppose 599 - 26 = y*l. Is l a prime number?
True
Suppose -2*i + 10 = -2. Is (33/i)/((-4)/(-2056)) a composite number?
True
Let c = 25 - 29. Is 1069/(c/(-5) - 13/(-65)) a composite number?
False
Suppose -15*b + 59031 = -6*b. Suppose -255*n = -248*n - b. Is n a prime number?
True
Suppose 6*d - 4*d = 5*r - 159111, -9*r = 3*d - 286380. Is r composite?
True
Let d = -684 - -689. Suppose m - 39980 = -5*t, -d*t + 3 = -12. Is m a composite number?
True
Let w(o) = 149190*o**2 - 862*o - 4293. Is w(-5) prime?
True
Let w = -902429 + 1294498. Is w prime?
True
Suppose 21*m - 12*m = -69*m + 578058. Is m a composite number?
False
Suppose -t + 2*d + 42268 + 52873 = 0, -3*t = 3*d - 285378. Is t prime?
True
Let b = 203428 - -709153. Is b a prime number?
True
Let o(f) be the second derivative of -f**5 + f**4/12 + 7*f**3/6 + 3*f**2/2 - 2*f - 27. Is o(-4) prime?
False
Let i = 7963 - -3204. Suppose -3*d = -d. Suppose 5*c - 12438 - i = d. Is c composite?
False
Let v(p) = 6*p**2 - 1. Let r be v(-1). Let t(w) = 294*w**3 - 5*w**2 - 2*w - 10. Is t(r) a prime number?
False
Let r(o) = o**3 + 6*o**2 + 17*o + 6805. Let z be r(0). Suppose 4*t = 4*y + 92, -2*y + 5 = -1. Suppose 27*q = t*q + z. Is q prime?
False
Suppose 1252290 = 22*g - 13234954 + 1410906. Is g prime?
True
Let c be 2/5*170/17. Suppose c*r - 5*r - 5*m = -2984, -2992 = -r - 3*m. Suppose -3*f - s + r = 0, -f - 2*s = 3*s - 978. Is f a composite number?
True
Let g(w) = 542*w - 6. Let v be g(7). Suppose 5*z - 5*k = -4765, -4*k = 4*z - 2*k + v. Let j = z + 1626. Is j prime?
True
Is ((1 - 0) + -518380)*(-209)/627 a composite number?
True
Is (-17)/(136/552220)*(-4)/10 prime?
True
Let s = -675 + 1462. Suppose -9*c + s = -8*c. Is c prime?
True
Suppose -162*q - 8340674 = -224*q. Is q composite?
True
Let w be (-11)/(33/(-6)) + 14. Suppose 14*i = w*i - 2*n - 1274, -3*i + 5*n + 1915 = 0. Is i prime?
False
Let d(u) = -21*u**2 - u - 101. Let b(a) = 20*a**2 + 2*a + 100. Let y(t) = -2*b(t) - 3*d(t). Is y(-11) a composite number?
False
Suppose -4*d = 4*t - 1784, -2*t + 3*d + 1777 = 2*t. Suppose 1876 = j - t. Is j a composite number?
True
Let l be 42/8 + (-16)/64. Suppose 1104 + 464081 = l*z. Is z prime?
False
Let n be 13/13 - (1 - 5) - -7. Suppose -34168 - 54260 = -n*w. Is w a prime number?
True
Suppose -12*n - 29*n = 4920. Is 10/(n/124)*-249 a composite number?
True
Suppose -s + 5*y = y - 18, 26 = 5*s - 4*y. Suppose -5*p = 3*t - 15, s*p + 7 + 3 = 2*t. Is (p/(-3) - 1)*-4317 a composite number?
True
Let b be (7 + -5)*1*77. Suppose 0 = m - 44 + b. Let r = 189 + m. Is r a prime number?
True
Let k(z) = -z + 3. Let c be k(8). Let m be (36/8 + c)/((-1)/(-6)). Is ((-7)/m)/7 + 1904/3 a composite number?
True
Suppose -3330 = -5*z - 4*x - 0*x, -3*x = -15. Let t = 5535 + z. Is t a composite number?
False
Let f be ((-340)/(-3))/(7/(-21)). Let r = -9 + f. Let b = r + 600. Is b composite?
False
Let c be ((-4812)/(-10))/(45/(-150)). Let s = 495 - c. Is s composite?
False
Let c(a) be the third derivative of 3*a**4/4 - a**3/2 + 2*a**2 + 131*a. Suppose -4*m + f + 9 = -9, 4*m = 5*f + 26. Is c(m) composite?
True
Suppose 9317 = 99*q - 96*q - 2*u, 0 = 5*u - 10. Is q a prime number?
False
Suppose -8*h - h = -216. Suppose 5*a + 4*l = l + h, -18 = -5*a - l. Suppose 5*n - a*s = 3520, -s - 1417 = -2*n + 2*s. Is n a composite number?
False
Let a(p) = -2*p**3 - 12*p**2 + 25*p - 7. Let l(f) = -3*f**3 - 13*f**2 + 25*f - 7. Let r(y) = 4*a(y) - 5*l(y). Is r(10) a composite number?
True
Let i = 671 + -1305. Let m = i - -1711. Is m a prime number?
False
Let w(u) = 151*u - 29. Let x be 2 + -2 + 11 + -1. Is w(x) a prime number?
True
Let z be (63/(-36))/(((-9)/(-12))/3). Is 2 - z/(28/21516) a composite number?
False
Suppose 3731975 = 18*h - 1607851. Is h a prime number?
False
Let g be 1/3 + 140/21. Suppose g*o = 16031 + 10548. Suppose -5*p = -2*a - o, -4*p + 4*a + 1019 = -2009. Is p prime?
True
Suppose 3*m - 2196690 = -27*m. Is m composite?
True
Let c(l) = l**3 - 20*l**2 + 36*l - 17. Let v be c(18). Let w(t) = -150*t - 159. Is w(v) prime?
False
Let x(o) = -27149*o**3 - o**2 - 13*o - 12. Is x(-1) a prime number?
False
Let m(v) be the first derivative of v**3/3 + 3*v**2/2 - 8*v + 7. Let t be m(-5). Suppose -t*f + g + 486 = f, 5*f - 3*g = 814. Is f a composite number?
True
Suppose -2*a + 18*a = 0. Is (-3 + -2)/(-10)*2510 + a composite?
True
Suppose -4*r + 9*r = -2*v + 6, 0 = 4*r. Let f(x) = 983*x + 4. Is f(v) a prime number?
True
Suppose g + 0*g - 103019 = 3*p, 309057 = 3*g - 2*p. Is g a composite number?
True
Let t be ((0 - 0)*1)/((-2)/1). Let a be t + 1 + 18/(-6). Is (1 - a/(-3))/(7/1659) a prime number?
True
Suppose 0 = -v - 2*x + 86, 5*x + 16 = v - 49. Is 343640/v - (-1)/(-2) a prime number?
False
Is ((-14)/(-35))/(22/20380855) a prime number?
True
Let j = -15 - 19. Let r = j - -325. Is r prime?
False
Suppose -27*c + 31*c - 32716 = 0. Let l = 278 + c. Is (((-28)/(-12) - 3)*l)/(-2) composite?
False
Is (-1 - 50)*(3975671/51)/(-7) prime?
False
Let h = -34587 + 50814. Suppose -m + 2*u + 6533 = 0, -3*m + h = 3*u - 3408. Is m composite?
True
Let s(z) = -z**2 - 19*z - 24. Let j be s(-17). Suppose -j*c + 31876 + 77154 = 0. Is c a composite number?
False
Let o = 14766 + 33868. Is o a prime number?
False
Suppose -2*z = -2*s + 9556, z - 19140 = -4*s - 2*z. Suppose -3*g - 9 = 0, 4*g - 39100 = -2*d - s. Is d a composite number?
True
Let o = -24 + 18. Let b = -563 - -988. Let v = o + b. Is v composite?
False
Is -63*(-4 + (-574007)/63) composite?
True
Let j be (-936)/(-3 - 1) - (-1 + 1). Let g = j + 863. Is g a prime number?
True
Let q = 9 - 4. Suppose 2*h - q = 3. Suppose 3*r + 217 + 137 = h*b, -263 = -3*b + r. Is b a prime number?
False
Let a(s) = -100*s - 13. Is a(-36) composite?
True
Suppose 84*u - 102*u = -743238. Is u a prime number?
False
Let t be -2*(-3)/6*-207. Let g = t + 10. Let d = -36 - g. Is d prime?
False
Suppose -16 = 8*d - 12*d, -7816 = -v - 5*d. Let c = v - 5367. Is c a composite number?
True
Suppose -3*t + 4 = 10. Let b be 758/8 - (t - (-14)/8). Suppose -j + b = 3*s, 2*s + j - 76 = -14. Is s prime?
False
Let l(t) = -2*t**3 + 25*t**2 - 9*t - 13. Let x be l(12). Let n(b) = 4*b**2 - 27*b - 14. Is n(x) prime?
True
Suppose 11750585 = 70*h - 59610285. Is h composite?
True
Is (-2 - 26/(-11)) + 11995865/55 a composite number?
False
Let n = -378 - -93. Is n/(-15)*(-1 - -128) a prime number?
False
Suppose 43226 = c - 5*h, 0 = c - 2*h - 15707 - 27540. Is c a prime number?
True
Suppose -16 = -2*h + 3*q, -14 = 3*h - 2*q + 7*q. Suppose 6*b = -h*b + 40. Suppose 0*t = 2*t - 5*f - 2389, -4733 = -4*t - b*f. Is t a prime number?
True
Let v(a) = -a**2 - 25*a - 37. Let g(s) = s**3 - 14*s**2 + 22*s + 1. Let f be g(12). Let o be v(f). Let x(h) = -h**2 + 16*h - 8. Is x(o) composite?
True
Suppose 6*u = 7*u - 1. Let h be (-24)/(-30) - u - (-11)/5. Suppose 0 = 5*s - h*n - 54, -3*s - 4*n = -4*s + 18. Is s a prime number?
False
Suppose -3*w + 2*i = -3 - 2, 4*w = -3*i + 18. Suppose 0 = 17*h - 15*h + 4*u - 67210, 0 = -4*h - w*u + 134395. Is h a composite number?
True
Let i(k) = 373*k**3 - k**2 - 9*k - 4. Let v be i(5). Let m = v + -7010. Is m composite?
False
Suppose 0 = -18*z - 125525 - 29275. Let g = z + 14217. Is g composite?
True
Let b(v) = 127*v**2 - 12*v - 21. Let h be b(8). Suppose -h = -16*j + 9813. Is j prime?
False
Let g(k) = 8*k**2 - 125*k - 2737. Is g(-20) composite?
False
Suppose -14*j = 144 - 4. Let k(y) = -y**3 - 10*y**2 - 6*y + 23. Is k(j) composite?
False
Suppose 3*r - 327225 = 3*j, 20*j - 18*j = -4*r + 436288. Is r a prime number?
True
Let v(c) = -c**3 + 9*c**2 + 11*c + 5. Let b(j) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
17
What is the i'th term of 336, 660, 970, 1260, 1524, 1756, 1950?
-i**3 - i**2 + 334*i + 4
What is the z'th term of -3456, -6919, -10384, -13851, -17320, -20791?
-z**2 - 3460*z + 5
What is the h'th term of -2270, -2269, -2268, -2267, -2266?
h - 2271
What is the s'th term of -1647, -6605, -14869, -26439, -41315, -59497, -80985?
-1653*s**2 + s + 5
What is the l'th term of 26, 29, 32?
3*l + 23
What is the x'th term of 4, 6, -16, -68, -156?
-x**3 - 6*x**2 + 27*x - 16
What is the c'th term of 127, 215, 315, 433, 575, 747?
c**3 + 81*c + 45
What is the z'th term of -33, -41, -53, -69, -89, -113?
-2*z**2 - 2*z - 29
What is the x'th term of -37, -39, -41, -43?
-2*x - 35
What is the v'th term of -153, -159, -167, -177, -189, -203?
-v**2 - 3*v - 149
What is the y'th term of -14677, -29353, -44029, -58705?
-14676*y - 1
What is the d'th term of 5402, 5401, 5400, 5399?
-d + 5403
What is the d'th term of -2, -30, -68, -110, -150, -182?
d**3 - 11*d**2 - 2*d + 10
What is the m'th term of 25, 91, 197, 343, 529?
20*m**2 + 6*m - 1
What is the k'th term of 309, 629, 949, 1269, 1589, 1909?
320*k - 11
What is the p'th term of -18, -15, -10, -3?
p**2 - 19
What is the v'th term of -43, -64, -85, -106?
-21*v - 22
What is the d'th term of 802, 805, 820, 853, 910, 997?
d**3 - 4*d + 805
What is the l'th term of 11, 5, -3, -13, -25, -39?
-l**2 - 3*l + 15
What is the v'th term of -10, -29, -56, -91, -134?
-4*v**2 - 7*v + 1
What is the v'th term of 2528, 2522, 2506, 2474, 2420, 2338, 2222?
-v**3 + v**2 - 2*v + 2530
What is the k'th term of 804, 1543, 2266, 2967, 3640, 4279, 4878, 5431?
-k**3 - 2*k**2 + 752*k + 55
What is the o'th term of 25, 11, -57, -215, -499, -945?
-6*o**3 + 9*o**2 + o + 21
What is the y'th term of 7, 11, 15?
4*y + 3
What is the l'th term of 36, 63, 90, 117, 144, 171?
27*l + 9
What is the p'th term of -2407, -4815, -7223, -9631, -12039?
-2408*p + 1
What is the g'th term of 14376, 14375, 14374, 14373?
-g + 14377
What is the j'th term of -5, -12, -15, -8, 15, 60?
j**3 - 4*j**2 - 2*j
What is the l'th term of 521, 517, 511, 503, 493, 481?
-l**2 - l + 523
What is the m'th term of 60, 198, 324, 432, 516, 570, 588, 564?
-m**3 + 145*m - 84
What is the f'th term of -229, -511, -793, -1075, -1357?
-282*f + 53
What is the q'th term of 7, 19, 31, 43?
12*q - 5
What is the o'th term of 19, 17, 5, -23, -73, -151?
-o**3 + o**2 + 2*o + 17
What is the d'th term of -34, -44, -68, -112, -182, -284, -424?
-d**3 - d**2 - 32
What is the v'th term of -4280, -4279, -4278, -4277, -4276, -4275?
v - 4281
What is the h'th term of -47, -132, -219, -308, -399, -492?
-h**2 - 82*h + 36
What is the y'th term of 4561, 4563, 4565, 4567, 4569, 4571?
2*y + 4559
What is the j'th term of 64, 74, 120, 220, 392, 654, 1024?
3*j**3 - 11*j + 72
What is the s'th term of -6, -37, -80, -129, -178?
s**3 - 12*s**2 - 2*s + 7
What is the f'th term of -17568, -17569, -17570?
-f - 17567
What is the n'th term of -103, -192, -339, -544, -807, -1128, -1507?
-29*n**2 - 2*n - 72
What is the g'th term of 2546, 2547, 2548, 2549, 2550, 2551?
g + 2545
What is the o'th term of -532, -1058, -1582, -2104, -2624?
o**2 - 529*o - 4
What is the x'th term of -118, -238, -360, -484, -610?
-x**2 - 117*x
What is the x'th term of 333, 669, 1007, 1347, 1689, 2033?
x**2 + 333*x - 1
What is the c'th term of -41, -82, -123, -164, -205, -246?
-41*c
What is the j'th term of -3929, -3927, -3927, -3929, -3933, -3939?
-j**2 + 5*j - 3933
What is the m'th term of -10, -30, -60, -106, -174?
-m**3 + m**2 - 16*m + 6
What is the n'th term of -4, -13, -32, -61, -100?
-5*n**2 + 6*n - 5
What is the s'th term of -43, -83, -185, -379, -695, -1163, -1813, -2675?
-5*s**3 - s**2 - 2*s - 35
What is the w'th term of -792, -1579, -2366, -3153?
-787*w - 5
What is the b'th term of 47, 89, 133, 179, 227, 277, 329?
b**2 + 39*b + 7
What is the p'th term of -40, -37, -34, -31, -28, -25?
3*p - 43
What is the n'th term of -14871, -14872, -14873, -14874?
-n - 14870
What is the y'th term of 1112, 2229, 3356, 4499, 5664, 6857, 8084?
y**3 - y**2 + 1113*y - 1
What is the q'th term of 352, 356, 374, 412, 476, 572, 706?
q**3 + q**2 - 6*q + 356
What is the z'th term of 1326, 2650, 3974, 5298?
1324*z + 2
What is the o'th term of 173, 146, 85, -22, -187, -422?
-2*o**3 - 5*o**2 + 2*o + 178
What is the m'th term of -32, -61, -90, -119?
-29*m - 3
What is the x'th term of 378, 397, 440, 519, 646, 833, 1092, 1435?
2*x**3 + 5*x + 371
What is the s'th term of -2567, -5135, -7703, -10271, -12839?
-2568*s + 1
What is the o'th term of -397, -395, -393, -391, -389, -387?
2*o - 399
What is the o'th term of -531, -538, -547, -558, -571?
-o**2 - 4*o - 526
What is the r'th term of 58191, 58179, 58153, 58107, 58035, 57931?
-r**3 - r**2 - 2*r + 58195
What is the b'th term of -55, -62, -73, -88, -107?
-2*b**2 - b - 52
What is the r'th term of 34, 61, 88, 115, 142, 169?
27*r + 7
What is the v'th term of 8, 26, 64, 134, 248, 418?
2*v**3 - 2*v**2 + 10*v - 2
What is the w'th term of -578, -580, -584, -590, -598, -608, -620?
-w**2 + w - 578
What is the g'th term of -140, -156, -172, -188, -204?
-16*g - 124
What is the r'th term of -234, -190, -146?
44*r - 278
What is the j'th term of 2366, 2364, 2360, 2354?
-j**2 + j + 2366
What is the v'th term of -18, -12, -2, 12, 30, 52, 78?
2*v**2 - 20
What is the x'th term of -535, -553, -571?
-18*x - 517
What is the w'th term of 158, 157, 156, 155, 154, 153?
-w + 159
What is the p'th term of -62, -234, -524, -938, -1482?
-p**3 - 53*p**2 - 6*p - 2
What is the z'th term of -2, -5, 0, 19, 58, 123, 220?
z**3 - 2*z**2 - 4*z + 3
What is the l'th term of 98, 101, 106, 113, 122, 133?
l**2 + 97
What is the b'th term of -13, 26, 129, 326, 647, 1122, 1781, 2654?
5*b**3 + 2*b**2 - 2*b - 18
What is the v'th term of -707, -706, -705, -704?
v - 708
What is the h'th term of 978, 968, 944, 900, 830?
-h**3 - h**2 + 980
What is the d'th term of -1244, -4960, -11154, -19826, -30976, -44604, -60710?
-1239*d**2 + d - 6
What is the o'th term of 204, 185, 138, 51, -88, -291, -570?
-2*o**3 - 2*o**2 + o + 207
What is the f'th term of -1152, -1157, -1162?
-5*f - 1147
What is the m'th term of -74, -53, -32?
21*m - 95
What is the u'th term of -110, -110, -112, -116, -122?
-u**2 + 3*u - 112
What is the x'th term of 334, 337, 344, 355, 370, 389?
2*x**2 - 3*x + 335
What is the i'th term of -106, -106, -104, -100, -94, -86, -76?
i**2 - 3*i - 104
What is the l'th term of 330, 661, 992, 1323?
331*l - 1
What is the o'th term of 453, 894, 1339, 1788, 2241?
2*o**2 + 435*o + 16
What is the g'th term of -16, -33, -88, -199, -384?
-3*g**3 - g**2 + 7*g - 19
What is the b'th term of -268, -266, -254, -226, -176?
b**3 - b**2 - 2*b - 266
What is the r'th term of -322, -324, -324, -322?
r**2 - 5*r - 318
What is the h'th term of 18, 32, 44, 54, 62?
-h**2 + 17*h + 2
What is the u'th term of 130, 143, 164, 193, 230?
4*u**2 + u + 125
What is the y'th term of -66, -115, -164?
-49*y - 17
What is the p'th term of 183, 372, 565, 762?
2*p**2 + 183*p - 2
What is the n'th term of 49, 54, 71, 106, 165, 254?
n**3 - 2*n + 50
What is the g'th term of 51, 99, 147, 195, 243, 291?
48*g + 3
What is the u'th term of -334, -331, -328, -325, -322?
3*u - 337
What is the k'th term of 408, 822, 1250, 1698, 2172, 2678, 3222, 3810?
k**3 + k**2 + 404*k + 2
What is the a'th term of 260, 254, 244, 230, 212, 190?
-2*a**2 + 262
What is the j'th term of 139, 279, 419, 559, 699, 839?
140*j - 1
What is the d'th term of 107, 431, 971, 1721, 2675?
-d**3 + 114*d**2 - 11*d + 5
What is the n'th term of -43, -55, -79, -121, -187, -283, -415?
-n**3 - 5*n - 37
What is the d'th term of -26, -52, -78, -104, -130?
-26*d
What is the f'th term of 43855, 43858, 43863, 43870, 43879, 43890, 43903?
f**2 + 43854
What is the r'th term of 13, 26, 39, 52, 65?
13*r
What is the g'th term of 53, 259, 615, 1121, 1777, 2583?
75*g**2 - 19*g - 3
What is the p'th term of 63, 121, 165, 189, 187, 153, 81, -35?
-p**3 - p**2 + 68*p - 3
What is the u'th term of -74, -151, -228, -305, -382?
-77*u + 3
What is the v'th term of -5, -16, -33, -56, -85, -120?
-3*v**2 - 2*v
What is the i'th term of 82, 293, 636, 1105, 1694?
-i**3 + 72*i**2 + 2*i + 9
What is the j'th term of -16, -34, -64, -106, -160, -226?
-6*j**2 - 10
What is the k'th term of -199, -216, -233, -250?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
j, q, -3/2?
q
Let n(z) = -z**3 - 11*z**2 + 9*z + 268. Let t be n(-8). Which is the third biggest value? (a) -0.042 (b) 0 (c) 0.4 (d) t
b
Let z = 612254/27 + -22676. Which is the second smallest value? (a) z (b) 0.013 (c) -0.2
b
Let o = -9 - -23. Let i be (54/(-120))/((-474)/790). Which is the smallest value? (a) 2 (b) o (c) i (d) -3
d
Let y = 165.783 + -166. Let m = y + 0.157. Which is the third smallest value? (a) -5 (b) m (c) 0.02
c
Let a = -931/2440 - -2/305. Let r = 208.13 - 209.13. What is the third smallest value in r, 2.3, a?
2.3
Let h = 67.071 + -75.071. Let r = -4.1 + 0.1. Which is the third smallest value? (a) r (b) 1 (c) h (d) -2
d
Let k = 11/27 + -5/27. Let a = 96 - 287/3. What is the third biggest value in a, -0.4, k, 7/2?
k
Let f = -0.0136 - -71.0136. Let c = -69 + f. What is the smallest value in -0.4, -206, -4, c?
-206
Let t = 273 - 276. Let d = -0.348 + -0.052. What is the biggest value in -6, -5, d, t?
d
Let k be (10/3)/(((-3080)/33)/(-20)). Let c be 4 + -1 + 1 + -1. What is the biggest value in -0.2, -5, k, c?
c
Let y = 6.3 - 29.3. Let n = 26 + y. Let i = 21.7 - 22. What is the second smallest value in 0.3, n, i?
0.3
Let p be 2 + 0 - (8 - (-209)/(-22)). What is the biggest value in -2, 149/5, p?
149/5
Let h be ((-20)/56)/(20/(-16)). What is the second biggest value in 5, h, -6.6, -0.3?
h
Let c = 55.91 + -0.91. Let y = -60.9 + 112.9. Let o = c - y. What is the biggest value in 0.4, o, 4/7?
o
Let t = -69.4 + 66.4. What is the biggest value in 1/51, t, 2/5?
2/5
Let h = 16303 - 16290. Which is the biggest value? (a) 112/9 (b) h (c) 1
b
Let u = 9 - 5. Let y = 3.5 - u. Let h = -35142.3 - -35142. What is the second biggest value in h, 0, y?
h
Let k = -146 - -140. Which is the third biggest value? (a) -5 (b) 4 (c) -4/3 (d) k (e) 0
c
Let g = 2/25 + 17/100. Let a = -4.27 - -0.27. Let f be -2*3/18 - 2/(-42). What is the third biggest value in g, a, 4, f?
f
Let u be (20/18)/(3040/3420). What is the fourth smallest value in -5, 4/5, u, -0.5, 4?
u
Let f = -3.823 - -3.223. What is the fourth smallest value in f, -5, 2, -3, 4?
2
Let f = -281.2 - -281. Which is the fourth biggest value? (a) 4 (b) -0.4 (c) f (d) 2
b
Let g = -1 + 0.4. Suppose -8*x - 13*x = 12 + 9. Which is the third biggest value? (a) x (b) g (c) 2/3 (d) -2/3
d
Let d = 1011/545 + -6/109. Let i = -16.9 + 17. Let b be (2 + -5)/((-3)/(-8)) - (17 + -23). What is the third smallest value in i, b, d?
d
Let z = 43.21 - 42.85. Which is the second biggest value? (a) z (b) -1 (c) -0.1 (d) -1/4 (e) -3
c
Let q = 0.04972 - -0.25028. Which is the biggest value? (a) q (b) -0.07 (c) -26
a
Let r = -497 - -497.0252. Let o = 1.9748 + r. What is the second biggest value in 1, o, -17/5?
1
Let f = -6.271 + 5.271. What is the third biggest value in -2.6, -4/15, -2/3, f?
f
Let h = -2058.97 + 2059. Let u = -4.1 - -0.1. What is the smallest value in 5, h, u?
u
Let d = 6.162 - 6.236. What is the fifth smallest value in 2, -0.4, d, 0.4, 1/3?
2
Let j = 80 + -32.4. Let t = j - 47.2. Which is the biggest value? (a) t (b) 44 (c) -0.3
b
Suppose -3 = u - 3*s, -u + s = -2*u + 5. Let r be u/(-60)*15/2. Let x = -494.2 + 494. What is the second smallest value in x, r, 4, 1/3?
x
Let j = 12173 + -12172.88. Which is the second biggest value? (a) -63 (b) -3/7 (c) j
b
Let y = -7428 - -7433. Which is the second biggest value? (a) 2/107 (b) y (c) 7
b
Suppose -2*h = p - 11 - 2, -5*p - 5*h = -45. Suppose 5*d + p*q = -55, 2*d + 10 - 3 = -5*q. What is the third smallest value in -4, 1/3, d?
1/3
Suppose -56 + 42 = 2*x. Let z be -6*(-4)/84 + 4/x. Let c = 229/22 + -21/2. What is the biggest value in c, 0.4, -0.4, z?
0.4
Let t = 95 - -568. Let b = t + -628.1. Let g = -35 + b. What is the biggest value in -0.2, g, -0.5, -0.06?
-0.06
Let u = -64.21 + 1.21. Let i = 88.082 - 93.082. Which is the fourth biggest value? (a) u (b) 1/4 (c) 0 (d) i
a
Suppose -17*u + 11*u - 25 - 23 = 0. Which is the smallest value? (a) u (b) -3/2 (c) -6 (d) -7 (e) 0.1
a
Let h = -4278216 - -10096589449/2360. Let i = 2/295 + h. Suppose -t + 15 = 4*t. Which is the third smallest value? (a) t (b) -8 (c) i
a
Let m = -2.55 + 0.55. Which is the second smallest value? (a) 0.3 (b) 0.287 (c) m (d) 0
d
Let w = 1.167 + -0.967. Which is the fifth smallest value? (a) -0.1 (b) -0.97 (c) -4 (d) -3 (e) w
e
Suppose 215 = 10*f + 165. Let l = 2.84 - -10.16. What is the biggest value in 0.1, f, l?
l
Let a = 0.0391 - -117.9609. Let k = 119 - a. What is the biggest value in -5, -2, k, 0?
k
Let n be (2*9/12)/((-35)/14). Let m = 12 - 14. Let i be ((-5)/m)/(8/32). What is the third smallest value in n, i, -3?
i
Let g = -3373 - -3381. Let o(h) = 2*h**3 + 3*h**2 - 2*h. Let n be o(-2). Which is the biggest value? (a) 2 (b) g (c) n
b
Let d = 7.7 - 8. Let i = 197.6 + -196. Let m be -3*8/60 + 0. What is the third biggest value in m, i, d?
m
Let y = 2.058 - 2. Let a = y - -0.142. What is the third smallest value in 5, a, 10?
10
Let o be (-47)/47*11/(-77)*(0 + 1). Which is the fourth biggest value? (a) 0.5 (b) 0.07 (c) o (d) -4/9 (e) 0
e
Let p = 5.82 + -5.62. Let g = 17.4 + -7.4. Which is the smallest value? (a) g (b) p (c) 3/8 (d) -3/4
d
Suppose 0*c - 3*c + 9 = 0. Let s = 0.1222 + -3.8622. Let r = s + 3.44. What is the biggest value in r, c, 1, 0.5?
c
Let y = -1.08235 - -0.08235. What is the second biggest value in y, -5/8, -0.7, 0?
-5/8
Let m be ((-257)/(-130) + -2)/(54/(-72)). Let f = -1411/4 + 353. What is the third biggest value in 3, m, f?
m
Let w be -4 - 2 - (-33 - -24). Let s = -0.057 - -0.157. Which is the third smallest value? (a) s (b) w (c) 1/54
b
Let o = 0.035 + -0.189. Let n = -0.046 + o. Let p = -0.5 + -2.5. What is the second smallest value in n, -5, p, -6?
-5
Let h = 92681/7 + -13241. What is the second smallest value in h, 2/9, -229?
h
Let t = 304.37 + -5.37. Let k = t + -298.7. What is the smallest value in 0.5, -1, k, -0.9?
-1
Let n = -1999/540 - -37/10. Let q = n + 16381/540. Let h = q - 31. Which is the third biggest value? (a) h (b) 3 (c) 5
a
Let q(j) = 9*j - 155. Let y be q(28). Let h = -96 + y. Which is the third biggest value? (a) -0.5 (b) h (c) -5/44
a
Let w be 138/1455 + (0 - 1/10). Let u = 197/582 + w. Let j = -2/7 - -17/35. Which is the second smallest value? (a) u (b) -4 (c) -2 (d) j
c
Let r = -4683 + 4683.4. Which is the third biggest value? (a) r (b) -34 (c) 1/7 (d) -0.2 (e) 1/3
c
Let f = 55 - 139. Let t = 13.8 + f. Let c = t - -70. What is the second biggest value in c, 5, 4, 0.7?
4
Let n = 1.1 - 0.1. Let r = -10.05 + 10. Let h be (-1 + 3)/(868/124). Which is the second smallest value? (a) h (b) n (c) r
a
Let y = 1 - -1. Let q = -2036 + 2033. What is the third smallest value in q, -2/9, y?
y
Suppose -15373 + 15381 = -8*s. What is the fourth smallest value in -0.9, s, -4, 2/3?
2/3
Let i be (-5187)/1197 + (-46)/(-12). What is the biggest value in i, 0.1, -0.3, 0.197?
0.197
Suppose 3*g - g = 8. Suppose 3*f = g*f + 5. Let m = 16.4325 - 16.1325. Which is the second smallest value? (a) f (b) m (c) 3 (d) 0.1
d
Let k = 107013518693/103198785 + 6/1810505. Let i = k + -1037. What is the smallest value in -0.1, i, -3?
-3
Let r = 6771 + 2348. Let i = -45752/5 + r. Let u = i - -3601/115. Which is the biggest value? (a) u (b) 0.4 (c) -1
b
Let f = 0.592 + -0.9. Let q = -0.508 - f. Which is the second smallest value? (a) -2/7 (b) 21 (c) q
c
Let f(w) = -2*w**3 - 113*w**2 - 54*w + 117. Let s be f(-56). Let o = -5.7 - -6. Which is the smallest value? (a) -2/3 (b) o (c) s (d) -0.7
d
Let j be 4/((-12)/(-9))*1. Let a be 1/(4/(-3) + j). Let y = 27302/9 + -136492/45. What is the third biggest value in 5/6, y, a?
y
Let k = 1244 + -1314. Let w be 6/(-16) - 58/(-112). Which is the second smallest value? (a) w (b) 3/7 (c) k
a
Let t = -1578 + 1577.9. Let x = -67.9 + 72. Let p = 2.9 - x. Which is the biggest value? (a) t (b) -2 (c) p
a
Let v = -67.93 - -71.93. Which is the biggest value? (a) -1/10 (b) 0.2 (c) v (d) 0.3 (e) 5
e
Let v = 522 - 710. Which is the third smallest value? (a) 2/3 (b) 2/19 (c) v
a
Let w = -24.6 + 25. Let n = 13815.943 + -13823. Let o = n - -0.057. What is the smallest value in o, -2, w?
o
Let w = 29941/3 - 9980. Which is the
|
{
"pile_set_name": "DM Mathematics"
}
|
t integer?
216
What is the cube root of 18055724 to the nearest integer?
262
What is the square root of 17316 to the nearest integer?
132
What is the third root of 849677 to the nearest integer?
95
What is the cube root of 915557 to the nearest integer?
97
What is the third root of 4364058 to the nearest integer?
163
What is the fifth root of 982638 to the nearest integer?
16
What is the square root of 6789921 to the nearest integer?
2606
What is the ninth root of 3190927 to the nearest integer?
5
What is 482381 to the power of 1/5, to the nearest integer?
14
What is 9071656 to the power of 1/2, to the nearest integer?
3012
What is the cube root of 177052 to the nearest integer?
56
What is 659313 to the power of 1/2, to the nearest integer?
812
What is the third root of 12765691 to the nearest integer?
234
What is 69784 to the power of 1/3, to the nearest integer?
41
What is 1776761 to the power of 1/10, to the nearest integer?
4
What is the cube root of 53828 to the nearest integer?
38
What is the third root of 4195184 to the nearest integer?
161
What is the cube root of 3147523 to the nearest integer?
147
What is 206670 to the power of 1/2, to the nearest integer?
455
What is the square root of 2974206 to the nearest integer?
1725
What is the square root of 6454074 to the nearest integer?
2540
What is the square root of 7214910 to the nearest integer?
2686
What is the square root of 241186 to the nearest integer?
491
What is 44447 to the power of 1/5, to the nearest integer?
9
What is 207942 to the power of 1/3, to the nearest integer?
59
What is the third root of 210008 to the nearest integer?
59
What is the square root of 410377 to the nearest integer?
641
What is the third root of 1167029 to the nearest integer?
105
What is 1468864 to the power of 1/6, to the nearest integer?
11
What is the cube root of 1636909 to the nearest integer?
118
What is the cube root of 934212 to the nearest integer?
98
What is the tenth root of 69876 to the nearest integer?
3
What is the sixth root of 2899200 to the nearest integer?
12
What is the ninth root of 165209 to the nearest integer?
4
What is 13727148 to the power of 1/2, to the nearest integer?
3705
What is the cube root of 9735052 to the nearest integer?
214
What is 3534763 to the power of 1/10, to the nearest integer?
5
What is the square root of 222590 to the nearest integer?
472
What is the square root of 245095 to the nearest integer?
495
What is 7762662 to the power of 1/6, to the nearest integer?
14
What is 85262 to the power of 1/2, to the nearest integer?
292
What is the square root of 666041 to the nearest integer?
816
What is the cube root of 2077359 to the nearest integer?
128
What is the square root of 910856 to the nearest integer?
954
What is the tenth root of 2824481 to the nearest integer?
4
What is the third root of 10778754 to the nearest integer?
221
What is the eighth root of 4250446 to the nearest integer?
7
What is the eighth root of 1452607 to the nearest integer?
6
What is 16267 to the power of 1/3, to the nearest integer?
25
What is 83111 to the power of 1/3, to the nearest integer?
44
What is the third root of 1268472 to the nearest integer?
108
What is 13395641 to the power of 1/3, to the nearest integer?
237
What is the square root of 998192 to the nearest integer?
999
What is the third root of 8200176 to the nearest integer?
202
What is the third root of 132576 to the nearest integer?
51
What is the third root of 2718878 to the nearest integer?
140
What is the sixth root of 359729 to the nearest integer?
8
What is the fourth root of 342621 to the nearest integer?
24
What is the ninth root of 7652567 to the nearest integer?
6
What is the third root of 36751 to the nearest integer?
33
What is the cube root of 2181035 to the nearest integer?
130
What is the cube root of 2437552 to the nearest integer?
135
What is the third root of 16556063 to the nearest integer?
255
What is the third root of 1027803 to the nearest integer?
101
What is the square root of 218924 to the nearest integer?
468
What is 211239 to the power of 1/9, to the nearest integer?
4
What is 196322 to the power of 1/2, to the nearest integer?
443
What is 2162407 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 4651405 to the nearest integer?
46
What is the ninth root of 1574898 to the nearest integer?
5
What is the tenth root of 2907867 to the nearest integer?
4
What is 579516 to the power of 1/7, to the nearest integer?
7
What is 1472 to the power of 1/6, to the nearest integer?
3
What is 318306 to the power of 1/4, to the nearest integer?
24
What is the fourth root of 575283 to the nearest integer?
28
What is 1102434 to the power of 1/3, to the nearest integer?
103
What is the ninth root of 775808 to the nearest integer?
5
What is the square root of 801371 to the nearest integer?
895
What is 7069638 to the power of 1/3, to the nearest integer?
192
What is the square root of 76974 to the nearest integer?
277
What is the fourth root of 657097 to the nearest integer?
28
What is 149467 to the power of 1/2, to the nearest integer?
387
What is 89758 to the power of 1/2, to the nearest integer?
300
What is 223419 to the power of 1/4, to the nearest integer?
22
What is 4020455 to the power of 1/3, to the nearest integer?
159
What is the square root of 1042624 to the nearest integer?
1021
What is 1463106 to the power of 1/2, to the nearest integer?
1210
What is the fourth root of 1232037 to the nearest integer?
33
What is the cube root of 11237404 to the nearest integer?
224
What is 334524 to the power of 1/7, to the nearest integer?
6
What is 334366 to the power of 1/3, to the nearest integer?
69
What is the square root of 450850 to the nearest integer?
671
What is 13663679 to the power of 1/5, to the nearest integer?
27
What is the square root of 1072663 to the nearest integer?
1036
What is the third root of 1085921 to the nearest integer?
103
What is 2695638 to the power of 1/3, to the nearest integer?
139
What is 2698885 to the power of 1/3, to the nearest integer?
139
What is 563375 to the power of 1/2, to the nearest integer?
751
What is the eighth root of 180232 to the nearest integer?
5
What is 705645 to the power of 1/8, to the nearest integer?
5
What is the fifth root of 8459158 to the nearest integer?
24
What is 294002 to the power of 1/3, to the nearest integer?
66
What is 730044 to the power of 1/3, to the nearest integer?
90
What is 426294 to the power of 1/4, to the nearest integer?
26
What is the fourth root of 54404 to the nearest integer?
15
What is 22090786 to the power of 1/4, to the nearest integer?
69
What is 6125434 to the power of 1/2, to the nearest integer?
2475
What is 137055 to the power of 1/10, to the nearest integer?
3
What is 1773999 to the power of 1/3, to the nearest integer?
121
What is the tenth root of 226872 to the nearest integer?
3
What is the sixth root of 1552024 to the nearest integer?
11
What is 5664592 to the power of 1/5, to the nearest integer?
22
What is 5715475 to the power of 1/3, to the nearest integer?
179
What is 14447336 to the power of 1/3, to the nearest integer?
244
What is the fifth root of 9937014 to the nearest integer?
25
What is 516889 to the power of 1/3, to the nearest integer?
80
What is the third root of 9288054 to the nearest integer?
210
What is the square root of 184951 to the nearest integer?
430
What is 5556179 to the power of 1/5, to the nearest integer?
22
What is 12365744 to the power of 1/7, to the nearest integer?
10
What is the eighth root of 452144 to the nearest integer?
5
What is the seventh root of 116150 to the nearest integer?
5
What is 315810 to the power of 1/3, to the nearest integer?
68
What is 302562 to the power of 1/3, to the nearest integer?
67
What is the seventh root of 1337437 to the nearest integer?
8
What is the sixth root of 243587 to the nearest integer?
8
What is 292578 to the power of 1/7, to the nearest integer?
6
What is the third root of 5685879 to the nearest integer?
178
What is 379553 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 105284 to the nearest integer?
18
What is 1802966 to the power of 1/2, to the nearest integer?
1343
What is the third root of
|
{
"pile_set_name": "DM Mathematics"
}
|
s ((-1375)/33 - -9)/(2/(-12)) a multiple of 37?
False
Let j(g) be the third derivative of g**4/24 + 17*g**3/3 + 22*g**2. Does 14 divide j(0)?
False
Suppose t - 4*x + 24 = 5*t, 0 = -3*t - 5*x + 26. Let y(f) = -25*f + 2. Let i be y(-4). Suppose -i = -t*v + v. Is 22 a factor of v?
False
Let j(s) = -5 + 9*s**3 + 1 + 6*s**2 + 5*s - 8*s**3. Let w be j(-5). Let q(t) = -3*t - 5. Is 7 a factor of q(w)?
True
Suppose -4*x = 5*d + 577, 3*d = -x + 2*d - 145. Suppose -28*r = -33*r + 15. Is 13 a factor of x/8*(-6)/r?
False
Suppose 50*x + 1480 = 55*x. Is 8 a factor of x?
True
Suppose 5*j + 2*s - 202 = 0, 3*s + 118 = 3*j + s. Is 4 a factor of j?
True
Suppose 7*x = 2*x - 2*s + 16, 0 = 2*x + 5*s - 19. Suppose x*d + 8 = -2*d. Is 3 a factor of 9 + -4 - (4 + d)?
True
Let o(a) = -8*a - 64. Is o(-33) a multiple of 10?
True
Let g be (-552)/(-84) + 4/(-7). Let j(w) = -w**3 + 7*w**2 - 5*w + 34. Does 10 divide j(g)?
True
Let x(l) = -2*l**3 + 23*l**2 - l - 11. Does 33 divide x(11)?
True
Suppose 4*i + 4*x - 23 = 5, -4*i = -2*x - 22. Does 3 divide (0 + -2)*(-63)/i?
True
Let u = -22 + 27. Suppose -u*o + 53 = -137. Is o a multiple of 12?
False
Let u = -19 - -24. Let r be (14/35)/(1/u). Suppose -r*g + 20 = -82. Does 21 divide g?
False
Let n(k) = -13*k**3 + 2*k**2 + 3*k + 2. Let s be n(-1). Suppose 0 = p - 3 - s. Is p a multiple of 3?
False
Let r(f) = f**3 + f**2 + 5*f - 23. Is 13 a factor of r(7)?
False
Let o = -18 + 63. Is 15 a factor of o?
True
Let w(r) = -2*r**2 - 5*r + 1. Let j be w(-5). Let a be j/16 + 6/4. Suppose a = -3*n - 3 + 15. Is 4 a factor of n?
True
Let y = -9 - 4. Let u(q) = q**3 + 13*q**2 - 3*q + 1. Is u(y) a multiple of 13?
False
Let j(o) = o**3 + 3*o**2 - 6*o - 14. Is 2 a factor of j(-2)?
True
Suppose 1340 = 9*x - 8*x. Is 11 a factor of x?
False
Let y(c) = 6 - 9*c**3 - 9*c**2 - c - 12*c**3 + 20*c**3. Is y(-9) a multiple of 15?
True
Suppose 0 = -68*h + 64*h + 24. Suppose 0 = -h*d + 11*d - 110. Is d a multiple of 4?
False
Suppose s - 7*s = 0. Suppose s = -5*a + 8*a - 39. Is a a multiple of 11?
False
Suppose 3*a = 2*b + 51 + 35, -5*a + 155 = -b. Does 8 divide a?
True
Let q(i) = 216*i - 10*i**2 + 14 - 218*i + 3*i**2 - i**3. Does 7 divide q(-7)?
True
Let k(w) = -w**2 + 127*w + 189. Does 23 divide k(67)?
True
Let r(n) = -5*n**2 + 56 + n**2 + 3*n**2. Let b be r(0). Does 10 divide (-54)/(-21)*b/6?
False
Suppose -5*w = -377 + 47. Is 6 a factor of w?
True
Let h(n) = 4*n**2 - n - 1. Let a be h(-1). Suppose 2*q - 70 = -a*x, 0 = -3*q - 3*x - 17 + 134. Is q a multiple of 9?
False
Let s(q) = 195*q**2 - 13*q - 4. Let o(c) = -97*c**2 + 6*c + 2. Let k(w) = -9*o(w) - 4*s(w). Does 14 divide k(-1)?
False
Let f(j) = -j**3 - 4*j**2 - 10*j - 7. Does 7 divide f(-11)?
False
Let g(a) = -a + 17. Let o be g(12). Suppose -s + 4 - 3 = 0, -5*s = -o*w + 30. Is w a multiple of 3?
False
Suppose -33*z = -31*z - 4*s - 2372, 5*s = -3*z + 3525. Does 59 divide z?
True
Let i(q) = -q**3 + 26*q**2 + q + 35. Is i(26) a multiple of 25?
False
Let s be (-1)/((-272)/(-92) + -3). Suppose -4*b = 4*i - 84, i - s = -0*b - 2*b. Suppose u - 3*m = 5 + i, -88 = -4*u + 4*m. Does 7 divide u?
True
Let r(x) = 21*x + 0*x**2 + 7*x**2 + 5 + 0*x + 9*x**2 - x**3. Is r(17) a multiple of 11?
False
Let t = -65 + 61. Let a(o) = -5*o + 5. Is 3 a factor of a(t)?
False
Let x(s) = s**3 - s**2 + s. Let k be (-3)/12 - 10/(-8). Let h(i) = -58*i**3 - 5*i**2 + 4*i. Let t(g) = k*h(g) - 5*x(g). Is 16 a factor of t(-1)?
True
Suppose x = 1, 0 = -3*a + 18*x - 13*x + 337. Let g = -398 - -572. Let p = g - a. Is 20 a factor of p?
True
Let g(s) = -s**2 + 5*s - 13. Let d be g(6). Let u = -13 - d. Let w = 30 - u. Does 6 divide w?
True
Let m(p) = 10*p + 12. Let b be m(-12). Let c = 147 - b. Is 11 a factor of c?
False
Let h(u) = u**3 + 13*u**2 + 14*u + 29. Let a be h(-12). Suppose -3*m - 281 = -5*q, 4*q + a*m - 4*m = 218. Does 15 divide q?
False
Let p = -115 - -68. Let s(l) = -13*l + 14. Let a be s(-6). Let y = a + p. Is y a multiple of 14?
False
Suppose 11*p - 31988 = -4950. Does 22 divide p?
False
Suppose -2*n = 2*n. Suppose 3*t - 3 - 15 = n. Does 6 divide t?
True
Suppose 3590*u - 3583*u = 13090. Does 85 divide u?
True
Let x(t) = -t**3 - 8*t**2 + 3*t + 12. Let v be x(-8). Let i(p) = -p**2 - 15*p + 7. Is i(v) a multiple of 19?
False
Suppose 0*v - 5*v - 5*n = 320, 0 = v - 4*n + 44. Let a = v - -84. Does 5 divide a?
False
Suppose -p = 4*p - 1380. Is 7 a factor of (-10)/(-25) - p/(-10)?
True
Suppose 5*t = 3*z - 91 - 51, -8 = 4*t. Suppose -6*x = -10*x + z. Is 5 a factor of x?
False
Is (2 + 24 + 2)*280/196 a multiple of 7?
False
Suppose 0 = 2*l + 4*j - j + 1111, 2219 = -4*l - 5*j. Let a be (l/19)/(2/(-10)). Let u = -83 + a. Does 21 divide u?
False
Suppose 6*b - 3762 = 234. Is 74 a factor of b?
True
Let w(j) = -j**2 - 7*j + 3. Let r be w(-7). Suppose -r*c = c. Suppose c = -m - 3*m + 160. Is m a multiple of 14?
False
Let d = 2485 - 2009. Does 12 divide d?
False
Let w(k) be the first derivative of 1/4*k**4 + 5/2*k**2 + 8/3*k**3 - 6*k + 2. Is 8 a factor of w(-7)?
True
Let b(j) = -j**2 + 4*j - 4. Let q be b(6). Let a be (q/(-4) + 1)/1. Suppose 0 = -4*y + 20, 3*c - 8 = -0*c + a*y. Is 9 a factor of c?
False
Let j(y) = y**2 + 3*y - 5. Suppose -u + 2*z - 18 = -6*u, 11 = 2*u - 3*z. Let q be j(u). Suppose q = -4*b + 175. Is b a multiple of 19?
True
Is 58 a factor of (3927/11)/((-5)/(-5))?
False
Let c = -56 + 959. Is c a multiple of 129?
True
Suppose 4*c - 2*c = -j + 818, 2*j - 1631 = -3*c. Does 29 divide j?
False
Suppose 53*i - 30107 + 2494 = 0. Is 3 a factor of i?
False
Let n = -22 + 38. Let u be (4/n)/((-2)/(-16)). Suppose 1 = d - u. Is d a multiple of 3?
True
Let b be 4/8 + (-14)/(-4). Suppose -355 = -b*q + 961. Suppose -4*k - 5*j + q = 0, -402 = -5*k + 3*j - 0*j. Is 27 a factor of k?
True
Let z be (130/3)/((-6)/(-27)). Suppose 3*r = -3*b + z, -195 = r - 4*r + 4*b. Does 13 divide r?
True
Suppose -2304 = -19*i + 869. Does 28 divide i?
False
Suppose -2*p + 515 = h + p, 5*h - 2545 = -5*p. Suppose 0 = -7*y + 887 + h. Does 14 divide y?
False
Suppose -3*w - 309 = -3*i, 2*w + 2*w + 3*i = -384. Let r = w + 140. Does 6 divide r?
False
Let r = 133 - 202. Let c = r + 36. Let d = -24 - c. Is d a multiple of 6?
False
Suppose 0 = -l + 6 + 15. Let n = l - 3. Is 10 a factor of n?
False
Let d(i) = -i**3 + 2*i**2 + i + 3. Let n be d(3). Let o be 6/n - (-75)/1. Suppose -20 = -4*t, -4*t + o = 2*f - 27. Is f a multiple of 32?
False
Let t = 34 + -6. Suppose -5*y + 2*y = -63. Is 884/t - (-9)/y a multiple of 16?
True
Let j(r) = -21*r**2 + 15*r + 19. Let y(z) = -11*z**2 + 8*z + 10. Let p(v) = -4*j(v) + 7*y(v). Is p(-2) a multiple of 7?
False
Suppose 2*r + 744 = 4*a - 2*r, -5*a + 4*r = -931. Suppose 4*h - a - 197 = 0. Is h a multiple of 12?
True
Let h = -14 - -244. Is h a multiple of 64?
False
Does 10 divide (315/12)/(-7)*424/(-3)?
True
Let a = 8 - 3. Suppose -2*t - a*i = -2*i - 9, -6 = 5*t - 2*i. Does 5 divide (6 - t)/1*2?
False
Let b = -70 + 99. Does 4 divide b?
False
Let w be (-12)/3 - (-1 - 7). Suppose 3*k - u - 241 = 0, w*k - 236 = 5*u + 89. Is k a multiple of 16?
True
Suppose 43*r - 2538 = 16*r. Is r a multiple of 4?
False
Let y(f) be the second derivative of f**4/6 - 5*f**3/3 + 3*f**2 + 58*f. Let l = -15 + 24. Is y(l) a multiple of 26?
True
Suppose 17*l + 74 = 839. Is 15 a factor of l?
True
Let k(f) be the first derivative of -3*f**2/2 + 4*f + 8. Let x be k(-3). Is 4 + x/((-39)/(-270)) a multiple of 19?
False
Let u(j) = 9*j**3 + j**2 - 3*j + 1. Let k be u(2). Let c = 10 + k. Is c a multiple of 30?
False
Suppose 2*h - 534 = w, 1337 = 5*h - 3*w - 0*w. Let o = 372 - h. Is 19 a factor of o?
False
Let d = 287 - 147. Is 5 a factor of d?
True
Let w(x) = 37*x - 32. Let q be w(11). Suppose 360 = 4*z + l + 3*l, -4*z = l - q. Is 18 a factor of z?
False
Suppose f - 4*m - 6 = 0, 3*m = -2*f - 7 - 3. Let h be (1 - 13) + -4 + 2. Let x = f - h. Is 3 a factor of x?
True
Suppose 5*i - 14 = 11. Let g be ((-304)/(-6))/((-22)/(-33)). Suppose -3*j + 2*r = -r - 54, -2*r = i*j - g. Is 8 a factor of j?
True
Let o(x) = 18*x**2 + 4*x + 18. Is o(3) a multiple of 24?
True
Let n be (-2)/(-13) + (-850)/(-221). Is ((-38)/n)/((-6)/12) a multiple of 6?
False
Suppose -3*v = 4*v - 3885. Suppose 0 = -5*r + 545 + v. Suppose -3*f = 2*f - r. Is 22 a factor of f?
True
Suppose -4*x = -32 + 4. Suppose 2*h - 3*w + 48
|
{
"pile_set_name": "DM Mathematics"
}
|
10, 0 = 2*f + 3*g - 2 for f.
-5
Solve -2*j = 3*p + 1, 4*p - 12 - 10 = 2*j for p.
3
Solve -5*j + 5*y + 10 = 0, 2*j - y = 1 - 2 for j.
-3
Solve -4*h - 3 = -7*h + 3*u, 0 = -h - u + 1 for h.
1
Solve -3*y = -c - 2*y, -5*c + y - 12 = 0 for c.
-3
Solve 4*l + 15 = y, 4*y + 0 - 9 = -l for l.
-3
Solve 3*j + 5*n + 145 - 161 = 0, -4*j + 4*n = 32 for j.
-3
Solve 3*m + 4 = b - 5*b, 28 = -7*m for b.
2
Solve 2*c + 3 = 3*l - 12, 3*c = 0 for l.
5
Solve 5*s = y + 208 - 230, 0 = 5*y - 3*s for y.
-3
Solve -7 = 4*u + 5*n - 19, 3*u - 14 = -5*n for u.
-2
Solve -7*j + 3*j + z - 4 = 0, 2 = -2*j - z for j.
-1
Solve -2*r - 6 = m, -2*r - 12 = 10*m - 6*m for r.
-2
Solve 10*u + 3 = 14*u - b, 3*b = u + 2 for u.
1
Solve c + 4*x = 15, -2*c - 2*x + 4 = -8 for c.
3
Solve 0 = 5*t + 3*k + 21, 5*t + 15 = 2*t - 3*k for t.
-3
Solve 0 = 2*h - 6*r + 11*r - 5, -6 = -2*r for h.
-5
Solve -3*o - 4*v = -v, 3*o + v = 6 for o.
3
Solve -4*z + 2*a = 0, -2*z + 12 = a + a for z.
2
Solve y - 2*s - 3 = 0, 7 = -3*y - 17*s + 15*s for y.
-1
Solve -4*a = -3*h - 0*h + 14, -5*h = -4*a - 10 for h.
-2
Solve -3*j = 5*u - 30, 0 = 6*j - 9*j + 2*u + 9 for j.
5
Solve 4*x = 2*j, 3*j + 8*x - 8 = 6*x for j.
2
Solve 3*g + g + 14 = 2*l, -5*l = -g - 17 for g.
-2
Solve 12*i = -t + 14*i - 1, 0 = -2*t + i - 8 for t.
-5
Solve 2*i + 5*y = 24, 3*y + 8 = 20 for i.
2
Solve 15 = -4*j + h, 5*j + 40 = -4*h + h for j.
-5
Solve 2*z - v - 4 = -z, 0 = 2*z + 2*v for z.
1
Solve -2*i = y - 0 - 4, -4*y = i - 16 for y.
4
Solve 4*b - 13 = 3*j, -4*j - 1 = -j - b for j.
1
Solve 0 = n + 43*j - 44*j + 4, 5*n - 3*j = -16 for n.
-2
Solve -3 = 3*i + 2*h, i - 2*h + 9 = -0*i for i.
-3
Solve -3*o + 4*y + 8 = 0, -5*y + 6*y + 2 = 5*o for o.
0
Solve 5 = -3*v + 3*g - 19, -9 = -2*v - 3*g for v.
-3
Solve -5*m + 5*x = -40, -18*x + 23*x + 30 = 0 for m.
2
Solve p - w = 0, 4*p - 3*p + 3*w - 4 = 0 for p.
1
Solve -5*g + 27 = -4*d, -29*g + 5*d = -32*g - 6 for g.
3
Solve 0 = 5*b + 7*v - 5*v + 19, -4*v - 20 = 4*b for b.
-3
Solve 2*n - 5*c + 3*c = -8, 2*n = 5*c - 5 for n.
-5
Solve 0 = 3*o - 3*c + 6, 24*c + 11 = 2*o + 27*c for o.
1
Solve -o + 3*i + 4 = -9, -4*o + i - 3 = 0 for o.
-2
Solve b + 3*a + 23 = -b, 2*a + 14 = -b for b.
-4
Solve 5*q = 3*w - 7, 2*w + 13 = 5*q + 4*w for q.
1
Solve 0 = q + o + 3, 2*o + 5 = -q - 2 for q.
1
Solve 3*s - 2*f = -2*s - 18, 4*s - 5*f = -11 for s.
-4
Solve 3*x + 0*r + r + 8 = 0, -6 = 5*x - 2*r for x.
-2
Solve -5*w - 2*s = 31, -4*w - 5*s - 40 = w for w.
-5
Solve 2*o = -3*f + 3, -4*o + 5 = 5*f - 0 for o.
0
Solve 2*p + 4 = 6, 1 = -4*q + p for q.
0
Solve -5*y = 2*f - f, f - 2 = -3*y for f.
5
Solve 8*m = 2*j + 10*m + 10, -2*j + 5*m + 4 = 0 for j.
-3
Solve 2*c = 2*a + 47 - 43, -3*a - c = -2 for a.
0
Solve 4*r + 11*x + 12 = 7*x, 0 = 3*x for r.
-3
Solve 0*b = -5*u + 2*b - 12, -4*b = -u + 12 for u.
-4
Solve 5*u - 5 = 5*n, 3*n + 2*u = 4*n for n.
-2
Solve r + 3*i - 3 = 0, -4*r - 20*i = -19*i - 1 for r.
0
Solve -4*h = 2*j + 12, -2*h - 5*j + 32 = 22 for h.
-5
Solve -2*h = -o + 1, 3*h = h + 4 for o.
5
Solve -4*o + 6*r - 7 = 3*r, 2*r = 3*o + 5 for o.
-1
Solve 14*n + 5 = 15*n + q, -3*q = -9 for n.
2
Solve -5*n + 18 = -c, 0*c + c + n = 0 for c.
-3
Solve -y + 2*m + 0 - 10 = 0, 3*m = 3*y + 18 for y.
-2
Solve 4*d - 22*u = -19*u + 1, -25 = -5*d - u for d.
4
Solve s + 7 = -0*s - 3*w, 0 = -2*s + 3*w + 4 for s.
-1
Solve -r = 7*m - 2*m - 22, -2*r = -5*m + 16 for m.
4
Solve 5*p + 21 - 1 = -4*v, -25 = -5*p + 5*v for p.
0
Solve 3*j - 4*r = -2, 15 - 11 = 2*r for j.
2
Solve 3 - 16 = -5*s - 3*z, -5*z = s - 7 for s.
2
Solve 6*w - 3*w = -2*v - 3, -12 = 2*w - 2*v for w.
-3
Solve 2*i + h = 1, 2*i = -0*i + 3*h - 3 for i.
0
Solve -4*v + 36 = -5*i, -17 = -i - 5*v - 1 for i.
-4
Solve q = -3*c + 9, -q - c = 4*q - 3 for q.
0
Solve 3*k - 3*q - 15 = 0, 5*k + q = -2*q - 7 for k.
1
Solve -5*i = 5, 5*b - 2*i + 7 = -16 for b.
-5
Solve -4*m + 20 = 2*t, 3*t - 4 = -m + 6 for m.
4
Solve -3*n + 4*t = 9, 11*t - 5*t - 6 = 2*n for n.
-3
Solve -44*l + 49*l = -5*a + 5, 5*a - 21 = 3*l for l.
-2
Solve 2*a + 4*l + l = 15, 0 = 3*a + 4*l - 19 for a.
5
Solve -13*u + 20 = -8*u, s = u - 5 for s.
-1
Solve 3*r = 13*x - 11*x + 17, 23 = -2*x + 5*r for x.
-4
Solve 0*a + 8 = -2*i - 2*a, 5 = -5*a for i.
-3
Solve -4*d - 3 = k + 2*k, 0 = 2*k - d + 2 for k.
-1
Solve 0 = -2*o - 2*q + 2, -o - 7 + 8 = 5*q for o.
1
Solve -4*s = 2*v + 6, -4*v + 8*v = -s + 16 for v.
5
Solve -l - 4*x = -3*l + 10, 2*x = 4*l + 10 for l.
-5
Solve -f + 4*t + 21 = 0, 3*t = 3*f + 7*t + 1 for f.
5
Solve -16 = -4*p + 4*x, 3*x - 5*x - 12 = -4*p for p.
2
Solve 3*b + 317*d = 315*d - 14, 14 = -b - 3*d for b.
-2
Solve 4*r + 15 = 3*a, 5*r + 10*a + 17 = 12*a for r.
-3
Solve -5*h = 2*s - 27 + 1, 0 = -4*h + s + 13 for h.
4
Solve 0 = 5*b - 25, 8 = -4*v + 2*b + 2*b for v.
3
Solve h - 3*t - 5 = 0, -2 = -4*h - t + 5 for h.
2
Solve -11 = 3*f + 4*z, -3*f + 6*f + 3*z + 6 = 0 for f.
3
Solve 4*a + 20*r - 2 = 22*r, 5*r = -3*a - 31 for a.
-2
Solve 0 = -5*b + 5*y + 21 - 11, 2*y - 1 = -3*b for b.
1
Solve 5*t + 11 = 4*y - 15, -5*y + 3*t = -26 for y.
4
Solve l = -2*s - 8, -s - 4*l - 9 = -6*l for s.
-5
Solve 10 = -2*l, -4*b + 5*l + 21 = -0*b for b.
-1
Solve 0 = l + 4*y - 22, 4*l - 4*y + 18 = 3*l for l.
2
Solve -18*w = -22*w, 5*w = -4*l for l.
0
Solve 4*t = -5*b - 11, 207*t + 20 = 202*t for b.
1
Solve 83*l - 82*l = 3*n + 10, 2*l = -10 for n.
-5
Solve -5*f + s = 2*s - 18, 16 = 2*f - 4*s for f.
4
Solve -w + 5 = -3*x, -2*x + x - 9 = -4*w for w.
2
Solve -k = -2*s + 3*k + 10, -4*s = 4*k + 28 for s.
-3
Solve -9 = -5*s + 16, 2*i = 5*s - 21 for i.
2
Solve 6 = -3*h - 41*f + 37*f, 0 = -5*f - 15 for h.
2
Solve 0 = -2*t - 2*q - 2, 2*t - 13 = q + 2*q for t.
2
Solve 5 = k, 4*f - 5*k = -7*k - 6 for f.
-4
Solve 6*f = 3*s + 57, 2*s - f + 6*f - 43 = 0 for s.
-1
Solve 6 = -3*j - 3*q, -5*q + 8 = -q for j.
-4
Solve -4*k + 32 = 5*w, -4*w + 4 = -4*k - 0 for k.
3
Solve -k + 0*k + 4*g = -7, -3 = k + g for k.
-1
Solve -c + 5*f + 22 = -2*c, -4*f - 16 = 0 for c.
-2
Solve 5*f = -5*t + 30, 65*f + 2*t - 17 = 62*f for f.
5
Solve -9 = 2*p - 3*w, 4*p + 63*w = 59*w - 8 for p.
-3
Solve 273 = -q + 270, 0 = -3*c + 3*q for c.
-3
Solve -2*s + 7 = -b, 5*s + 2*b = -0 + 4 for s.
2
Solve -2*i + 14 = 5*p, -10 = 2*p - 3*p - 4*i for p.
2
Solve m + 8 + 5 = -5*h, -3*h - m - 9 = 0 for h.
-2
Solve -4*s + 0*s - 10 = 3*f, -5*f - 2*s - 12 = 0 for f.
-2
Solve -4*q = -z, z + 5*q = 3*q + 6 for z.
4
Solve -4*m = -3*s - 17, 3*s + 3*m - 19 = -s for s.
1
Solve 5*p - 3*p = 5*s - 20, 3*s - 12 = -3*p for s.
4
Solve 13*g + 4*s = 14*g + 10, -3*s + 27 = -4*g for g.
-6
Solve 5*b = 2*c + 17, -5*c = 3*b - 55 + 20 for b.
5
Solve -7 = -5*u + 3, -5*a - 5*u + 10 = 0 for a.
0
Solve 3*h = -2*h - 4*b - 16, -4*h = 3*b + 12 for h.
0
Solve -36 = 9*m - 6*m + 4*x, -m + 26 = -5*x for m.
-4
Solve 2*d = -d + 5*n + 3, -d - n + 1 = 0 for d.
1
Solve 3*a - 8 + 5 = -3*j, 12 = 2*j + 4*a for j.
-4
Solve 3*h - 2*p - p = -9, -5*h + 3*p = 13 for h.
-2
Solve -6 = v + k, 3*v + 17 = -0*v - 2*k for v.
-5
Solve -4*n = 8*y + 1 - 9, 2*y + 22 = 5*n for n.
4
Solve -2*j = 5*l + 6, 0 = -5*l - 7*j - 2 + 6 for l.
-2
Solve 4*o = -5*k + 3, -21 + 20 = -3*o - 5*k for o.
2
Solve 0 = -3*h - 3*m - 6, -h - 15 = -2*m - 10 for h.
-3
Solve 4*u + f = -13 + 5, 4*f - 8 = 4*u for u.
-2
Solve 0 = -4*h - 20, u - 23*h + 24*h = -8 for u.
-3
Solve -243*u = -q - 241*u - 10, 0 = 3*q - u + 5 for q.
0
Solve -3*k = -4*q - 24, 0 = k + 3*k - 4*q - 28 for k.
4
Solve 3*x - 15 = 0, -4*x = -4*c - 12 - 12 for c.
-1
Solve -m - 2 = 5*w, 3*w + w + 4*m = -8 for w.
0
Solve 10 = 3*g + 2*g - 2*r, g + 3*r - 2 = 0 for g.
2
Solve 20 = 5*b - 2*w, b + b - 8 = 4*w for b.
4
Solve 4*a + 5*u - 20 = 0, 2*a + 39 - 49 = -u for a.
5
Solve 5*l - 6 = 3*r, 35 - 8 = 4*r + 5*l for r.
3
Solve 2*c = -3*t - 1 + 4, -4*c = -t + 1 for t.
1
Solve 5*p - 11*p = 2*u - 40, -5*u = -25 for p.
5
Solve 0 = i + 2*g + 7, -16*i - 19 = -13*i + 5*g for i.
-3
Solve -z - 4*r = -5*r - 2, -2*z = -4*r for z.
4
Solve 6*m - 3*m = 5*y + 29, -3*y = 5*m - 3 for y.
-4
Solve 0 = 9*u - 6*u - 3*r + 6, -2*u + r - 6 = 0 for u.
-4
Solve 6 = 2*n, -14*n = -2*r - 9*n - 25 for r.
-5
Solve 7*a + s = 3*a - 1, 0 = -a + 5*s + 26 for a.
1
Solve l + 9 = -3*k, -9 = -3*k + 6*k for l.
0
Solve -5*b - 22 = 4*t, t + b + 1 + 4 = 0 for t.
-3
Solve 0 = 4*k + 12, -4*b + 3*k - 7*k - 20 = 0 for b.
-2
Solve 2*k - 2 = 2*m - 0*k, 2*m + 4*k + 8 = 0 for m.
-2
Solve w - 21 = 2*c - 9,
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Solve -3*y + 3*s + 3 = 0, -16*y + 5 = -17*y - 5*s for y.
0
Solve b + 5 = 5*a - 17, 2*b - 2*a = -12 for b.
-2
Solve 4*c + 5 - 13 = 0, 9 = -3*h - 3*c for h.
-5
Solve 2*o = 2*i - 9 + 3, 4*i = -5*o - 15 for i.
0
Solve 0*u - 3*u - m + 17 = 0, 5*u - 19 = 3*m for u.
5
Solve 144*w = 5*y + 142*w - 15, 5*y - 5*w - 30 = 0 for y.
1
Solve 1 = -2*x + q, -2*x - 4 = 3*x - 3*q for x.
1
Solve 8 = 4*x + 4*g, -2*x = -5*g - 11 + 35 for x.
-2
Solve -5*n - 8 = -m - 33, 3*n = 12 for m.
-5
Solve 2*h + 7 = -3*d, h - 7 = 3*d - d for h.
1
Solve 3*x + 4*d + 1 = 15, 0 = -2*x + 2*d for x.
2
Solve 0 = 2*z + 4*m + 16, 6*z - 3*m = 11*z + 12 for z.
0
Solve 5*j - 3*g - 25 = 0, -20 = -3*j - 2*j + 2*g for j.
2
Solve 7 = -r + 3*u, -u - 7 = -8 for r.
-4
Solve -22*h + 24*h + 6 = n, -4*h + 4*n - 8 = 0 for h.
-4
Solve -t = -3*l + 1, 2*l - 23 = -5*t - 28 for l.
0
Solve 2*s = -5*a - 4, -137*a + 2*s + 4 = -138*a for a.
0
Solve -5*v - 5*j = 15, j = 2*v + 1 - 10 for v.
2
Solve -3*d = -4*k + 1, -5*k + 2*k = -4*d + 1 for k.
1
Solve 383*h - 381*h = -3*w + 7, -2*w + h = -14 for w.
5
Solve 5*t - 2*r + 1 = -5, 0 = -5*t - 5*r - 20 for t.
-2
Solve 0 = -165*b + 167*b, -2*b - 15 = -3*l for l.
5
Solve -4*w = 2*t - 5*t + 9, 2*t = 6 for w.
0
Solve 3*i - 3 = 5*v, 15 - 21 = 2*v for i.
-4
Solve -45 + 34 = -4*k + x, 17 = 4*k - 3*x for k.
2
Solve 12*o - 8*o = 3*d - 15, o = 0 for d.
5
Solve 2*x + 2*s - 46 = -66, 5*s = -4*x - 43 for x.
-7
Solve -5*r - 15*q = -13*q - 2, -r + 5*q - 5 = 0 for r.
0
Solve 17 = -5*t - 4*i, -12*t - 5*i = -7*t + 20 for t.
-1
Solve 0 = -5*o, -5*o - 20 = -5*q + q for q.
5
Solve -2 = -2*x, -85 = -2*k + 2*x - 87 for k.
0
Solve 5*q = -h + 1, -4*h - 170 = 2*q - 156 for q.
1
Solve 5*s + 4*p - 9*p + 35 = 0, 2*s - 21 = -5*p for s.
-2
Solve -3*n + 2*x + 2 = 0, 5*n = 3*x + 8 - 4 for n.
2
Solve -6*d + 11 = -8*d - 3*b, 3*b = -9 for d.
-1
Solve 3*w + 4*w = 4*p - 8, -5*p + 10 = -3*w for p.
2
Solve 4*m = 0, -3*l + 43 - 46 = 5*m for l.
-1
Solve 11 = -3*z - 3*p + 4*p, 3*z = 4*p + 1 for z.
-5
Solve -3*l = 3*c - 11 + 2, -3*l - 15 = -c for l.
-3
Solve -5*s + 20 = -0*s, -2*b - 2*s = -8 for b.
0
Solve -15 = 6*g - 11*g + 4*n, -5*g - 4*n = -15 for g.
3
Solve l - 8 = -5*r - 29, -5*l - 3*r = 17 for l.
-1
Solve -3*y = -b - 11, -20*b - 23 = -17*b - 4*y for b.
-5
Solve -24*r = -n - 20*r - 3, 6 = 2*r for n.
9
Solve -5*p + 21 = -4, -3*b - 5*p = -31 for b.
2
Solve 0 = 5*j + 4*o - 36, -3*j - 5*o - 4 = -9*o for j.
4
Solve -h + 7 = -3*m, 10 = 2*m + 8*h - 5*h for m.
-1
Solve -3*m + 25 = 2*y, -22 = -m - 5*y + 8 for m.
5
Solve 0*k - 5*k + 5*b + 45 = 0, b - 15 = -5*k for k.
4
Solve -3*t + 4*p = -5, -4*p + 24 = -t + 23 for t.
3
Solve -i + 6 = 2, -4*v - 24 = -5*i for v.
-1
Solve u = 6*u - 5*g + 5, -g = -2*u for u.
1
Solve 3*h + 2 = -j, -4*j = 5 + 3 for h.
0
Solve 4*s + 0*s = -3*v - 10, -6 = -3*v for s.
-4
Solve -18 = -2*j + 5*m, -2*j - 3*j + 2*m = -24 for j.
4
Solve 156*m - 154*m = -5*q + 22, 2*q - 13 = -5*m for m.
1
Solve 2*m - 5 = 5, 4*h = 4*m for h.
5
Solve 3*m = -z - 15, 5*m + 17 = 49*z - 48*z for m.
-4
Solve -4*u - 3*z + 14 - 34 = 0, u = -z - 6 for u.
-2
Solve 0 = -a + 2*a + 4*b - 1, -b = 5*a + 14 for a.
-3
Solve -2*u = g + 8, 46*g - 43*g = -u - 14 for g.
-4
Solve -y - 5 = 5*r - 5*y, 2*r + 2*y - 16 = 0 for r.
3
Solve 12*w - 7*w + 3*i - 8 = 0, -20 = -w + 4*i for w.
4
Solve 1 = 2*w - p - 1, 5*w + 5*p + 25 = 0 for w.
-1
Solve -4*b - b + 10 = 0, -4*b = -4*q + 12 for q.
5
Solve -p - 3*p + y = -8, 6 = 3*p + y for p.
2
Solve -15 = -l - 3*i, -3*l + 10*i - 23 = 27 for l.
0
Solve 15 = -86*v + 91*v + 5*q, -5*v + q = -3 for v.
1
Solve 4*v = 4*k + 12, 5*v - 3*v - 5*k - 24 = 0 for v.
-3
Solve 2*u + f - 20 = -5, 5*f = -2*u + 35 for u.
5
Solve 4*y - 13 + 17 = 5*q, -5*q = 2*y - 28 for q.
4
Solve 2*x + 0*x - l + 11 = 0, 6 = -3*x - 2*l for x.
-4
Solve 4*q - n = -5 - 19, -q = -n + 9 for q.
-5
Solve -t + 8*n = -6*t - 27, 0 = 2*t - 3*n - 14 for t.
1
Solve 5 = -i, 8*i = 3*z + 3*i - 34 for z.
3
Solve 5*o + 12 = 2*i + 34, 0 = -o + 2*i + 6 for o.
4
Solve 2 = 5*i - 3*i - b, 2*i - 2 = -2*b for i.
1
Solve 5*b = 3*n + 10, -3*b + 13*n = 17*n - 6 for b.
2
Solve 6*f + 7 = 3*v + 2*f, 3*f = v + 1 for v.
5
Solve -j = 4*j + 20, 0 = -3*w - 5*j - 5 for w.
5
Solve -4*p + c + 17 = -4*c, 4*p + 4*c - 8 = 0 for p.
3
Solve 3*c + c - 2*r - 10 = 0, -5*r + 15 = 0 for c.
4
Solve 5*i = 5*t - 45, 7 = t - 3*t - 3*i for t.
4
Solve -4*w = -4*y - 32, -3*w - 2*w - 10 = 5*y for y.
-5
Solve i - 3*s = -2 - 4, -3*i - 8 = s for i.
-3
Solve 8 = -3*u + 5*m + 2, -5*u + 2*m = 10 for u.
-2
Solve 3*h - 15 = -5*g + 8*g, -4 = -4*h - 4*g for h.
3
Solve 0 = -4*d + 20, -3*d - 5 = -5*y - d for y.
3
Solve 0 = -5*h + 19*g - 15*g + 1, -h + 9 = -3*g for h.
-3
Solve t + 5*k = -11, -2*t - 4*k + 0*k = 4 for t.
4
Solve -3*r - 5*q + 22 = 0, 5*r - 22 = 3*q - 4*q for r.
4
Solve -2*h + 5 = u + 8, 5*u + 3*h = -15 for u.
-3
Solve -2*z - 3*f + 11 = 0, f = -4*z - 0*f + 7 for z.
1
Solve -19 = -2*c - 5*q, -49*c + 54*c + 3*q = 0 for c.
-3
Solve 2*o - 1 = -0*f + f, 23 = o + 4*f for o.
3
Solve -4*g - 9*d = -6*d - 4, 2 = 2*g + 3*d for g.
1
Solve 11*m - 7 = -2*u + 10*m, -7 = 3*u - 2*m for u.
1
Solve -3*a = -3*i + 21, -5*a + i = 9 + 14 for a.
-4
Solve -d + r + 8 = 2*d, -3*r + 3 = 0 for d.
3
Solve 0 = -5*x - 4*y + 18, 3*x - 5 + 3 = 2*y for x.
2
Solve 0 = 5*c - 25 + 5, 3*h - 3*c = -15 for h.
-1
Solve d = -2*c - 4, 25*d - 26*d - 3*c = 8 for d.
4
Solve -2*i = s + 11, -7 = 2*s + 12*i - 11*i for s.
-1
Solve 5*y - 25 = -5*v, 5*v = -4*y - 0*y + 22 for y.
3
Solve -35 = 5*w + 4*u - u, 5*u + 33 = -2*w for w.
-4
Solve a - 3*d - 27 = -25, 0 = 5*a - 3*d - 10 for a.
2
Solve -4*w - 3*q - 27 = -32, -2*w - q + 1 = 0 for w.
-1
Solve -3*c - 18*s = -17*s + 1, -8 = -4*s for c.
-1
Solve 3*a - 2*a - 2 = 3*b, a - b = 0 for a.
-1
Solve 6*q = 4*m - 4, 5 = 5*m + 4*q - 2*q for m.
1
Solve 4*x = -5*a - 30, 16 = 7*a - 10*a - 2*x for a.
-2
Solve 3*l - 5*h + 0*h = -0*h, l = -3*h for l.
0
Solve 0 = -2*h - 4, -5*h = -6*d + 9*d - 5 for d.
5
Solve -n + 6 = -3*y, 3*n + 6 = -3 for y.
-3
Solve 4*g + 2 = -2*m, g = -g - 3*m - 11 for g.
2
Solve 5*c + 3*f = 14, 4*c + 7*f - 4*f = 10 for c.
4
Solve 2*l - 2*g = 4, -g - 2 = -0*g for l.
0
Solve 486*i - 4*x = 485*i - 19, -3*x + 18 = 3*i for i.
1
Solve j - 4*z - 5 = -2*z, 5*z = 5*j for j.
-5
Solve 3*u + 2*l - 3*l + 7 = 0, 4*u + 5*l = -41 for u.
-4
Solve -y + 9 = 2*q, 0 = 3*y - 16 + 1 for q.
2
Solve -3*p - 9*h + 28 = -4*h, -4*p = 4*h - 24 for p.
1
Solve 0 = -2*b + 7*b + 5, -b = -5*x + 11 for x.
2
Solve 36*g = 4*n + 31*g + 30, 7 = -3*n - 4*g for n.
-5
Solve 9*t = -4*z + 12*t - 29, 5*t - 15 = 0 for z.
-5
Solve 5*c - i - 9 = 0, 0 = -14*c + 12*c + 4*i for c.
2
Solve 8*g + 24 = 4*g - 2*i, 3*g + 4*i = -23 for g.
-5
Solve -i - q = i + 1, 31 = 3*i - 5*q for i.
2
Solve 2*d - 14 = 4*p - 8, -11*d = 33 for p.
-3
Solve 1312*f - 1313*f + 2*g - 13 = 0, -4*g + 16 = 0 for f.
-5
Solve 2*h = 3*i - 4 - 1, -4*h = -3*i - 5 for i.
5
Solve -2*q = -2, 13*p = 9*p + 4*q for p.
1
Solve 0 = 8*x - 12*x + k - 18, 2*x + 5*k + 20 = 0 for x.
-5
Solve m - 4*l - 19 = 0, 342*l = 5*m + 344*l + 15 for m.
-1
Solve 2*k = 3*p + 13, -8*p + 5*p = -5*k + 10 for k.
-1
Solve -4*v + 13 + 9 = 5*q, 4*v = 2*q + 8 for q.
2
Solve -4*h + 3*o - 5*o + 6 = 0, 2*o + 6 = -h for h.
4
Solve -2*u + 3*j = 22, -2*j + 7*j - 5 = -3*u for u.
-5
Solve 0 = -h - 5, 5*b + 5*h = 3*b - 21 for b.
2
Solve 2*c - 2*z - 2*z + 20 = 0, -2*c = z for c.
-2
Solve w - 8 = 3*d, 3*w = -23*d + 25*d + 3 for w.
-1
Solve -p - 3*g = -2*g + 5, 5*p + 3*g = -25 for p.
-5
Solve z = k + 10, 23*z - 20*z = -5*k - 2 for k.
-4
Solve 3*w - 2*w - 6 = 2*a, 5*w = -a + 19 for w.
4
Solve -20 = 4*h, 5*y - 8*h = -4*h + 25 for y.
1
Solve 3*t - 27 = -3*x, -x - 2*x = 2*t - 23 for x.
5
Solve 4*t - 19 = 3*i, 5*i + 20 = -3*t - 2*t for t.
1
Solve -2*o - o + 10 = -2*c, 4*o - c = 10 for o.
2
Solve 2*s = s - 5*j + 26, 4*j = -s + 21 for s.
1
Solve 2*h - h - 5*r = 24, r = -4 for h.
4
Solve -v + 4 = -4*i + 3, 0 = -i - v - 4 for i.
-1
Solve -3*x - 2*d = 5 - 18, 0 = -2*x + 3*d - 13 for x.
1
Solve -2*g + 2*v + 2 = g, 0 = -2*g - 5*v - 24 for g.
-2
Solve y + 3*x - 3 = 0, y - 4*x + 11 = -0 for y.
-3
Solve -p - t = 4, 4*p - 24 = -5*t + 9*t for p.
1
Solve -5*v - 18 = 3*b, -12*b - 6 = -9*b + v for b.
-1
Solve -4*j = -3*w + 30 - 49, -2*w - 6 = -j for w.
-1
Solve -3*x = 2*z + 2, -24 = -5*x + 4*z - 20 for x.
0
Solve -p + 4*y + 21 = -0*p, 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
3*g - d - 2 for g.
-1
Let j be (2/(-4))/(1/(-4)). Let n(b) = 208*b + 2708. Let k be n(-13). Solve -k*a + j*a = -10 for a.
5
Let p(q) = q**3 - 2*q**2 + 10*q - 5. Let t be p(5). Suppose 0 = 5*k - 135 + t. Solve -12 = -z - k*z for z.
3
Let s be 43/(-2)*-6 - 1. Let h = s - 128. Solve -4*q - 10 - 6 = h for q.
-4
Let u be 11/(429/(-48854)) + 2/(-6). Let k = u + 1278. Let s be 34/6 + (-3)/(-9). Solve s*z = 11*z + k for z.
-5
Let g = -5 - -12. Suppose 0 = -15*d + g*d + 144. Suppose a = 3*a - 3*o - 5, -5*a = -2*o - d. Solve 2*y - 4*y + a = 0 for y.
2
Let r(n) = n**2 + 26*n - 3528. Let q be r(-74). Solve -q*h + 7*h + 119 = 0 for h.
7
Suppose 14*h - 516 = -2*g + 12*h, -2*g + 4*h = -522. Let t = g + -255. Solve -t = 16*b + 12 for b.
-1
Let o = -534 + 572. Suppose -o*y + 33*y = -20. Solve 6*u - 2 = y*u for u.
1
Suppose 4*p = -3*o + 16, 2*o - 27*p = -23*p - 16. Suppose 4*t = -s - 17 + 80, 4*s - t - 167 = o. Solve -s = b - 48 for b.
5
Let o = 240 - 231. Let z be (-203)/(-63) + (-1)/(o/2). Solve 0 - 6 = -z*q for q.
2
Let y = -284 + 157. Let d be y + 3 + 4 + -5. Let t = -114 - d. Solve 0 = -2*v - t + 1 for v.
-5
Let j(h) = -3482*h - 3482. Let m be j(-1). Let y = 12 + -7. Solve 15 = -m*t + y*t for t.
3
Let i be (-1928)/(-40) - (-2)/(-10). Solve 102 = 30*c - i for c.
5
Let t(v) = 2*v**2 - 84*v + 725. Let z be t(10). Solve -12*q + 29*q = z for q.
5
Let w(o) = o**2 + 5*o - 7. Let b be w(5). Let c = b - 29. Suppose 0 = -7*i + 35 - c. Solve i*q = -0*q + 15 for q.
5
Suppose 0 = 45*z - 3 - 42. Solve -17*v + 16*v = -z for v.
1
Suppose -275 = -4*k + c, 352 = 5*k - c + 8. Suppose -k*p - 42 = -75*p. Solve 5 - p = 2*j for j.
-1
Let s(b) = 42*b + 1351. Let z be s(-32). Solve -17*c = -z*c + 50 for c.
-5
Suppose 0 = 3*j + 2*c + 290, -j - 3*c + 381 = -5*j. Let w = -86 - j. Suppose -w*d = -8*d. Solve y + d*y = 0 for y.
0
Suppose 0 = -21*i + 57 + 48. Suppose 3*n + 4*v - 28 = 0, -64 = -i*n + 11*v - 9*v. Solve 6*x + 12 = -n for x.
-4
Suppose 12274*m - 12222*m - 2288 = 0. Solve m*f + 183 = -17*f for f.
-3
Suppose -2*g - 2*h - 6 = 0, -2*h - 8 = 2. Suppose 40 = -3*b - 14. Let t be 2/6*4*(-9 - b). Solve g*c = t - 4 for c.
4
Let k(y) = -12*y - 167. Let j be k(-12). Let i(d) = 10*d + 233. Let m be i(j). Suppose t + 0*t - 8 = 0. Solve m*v + t = v for v.
-4
Suppose -856 = -2*w + 4*s, 3*w - 2*s = 5*w - 874. Suppose w = 7*x + 406. Solve 4*t - x = 12 for t.
4
Let i = 902 + -877. Let q be (-20)/i + 236/20. Solve 17*t - q*t + 12 = 0 for t.
-2
Suppose 405*r - 409*r = 5*s - 107, -s + 2*r = -13. Solve -1 = -5*d + s for d.
4
Suppose -n = 3*r - 5, 41*n - 42*n + 3 = r. Solve 0 = n*k - 5*k for k.
0
Suppose 72 = 6*t - 0*t. Let f = 169 - 116. Let z = -45 + f. Solve t = z*k - 5*k for k.
4
Suppose 0*t - 12 = -4*t. Suppose 0*s + 108 = 27*s. Suppose s*i - t = i. Solve n = 2*n + i for n.
-1
Suppose 233*k - 237*k - 3*o = 15, k = 6*o + 30. Solve -25*j + k*j + 75 = 0 for j.
3
Suppose -z - 18 + 49 = 0. Solve 19*f = z*f + 24 for f.
-2
Suppose 15*p + 6*p + 2919 = 0. Let a = 144 + p. Solve -2*i + 35 = a*i for i.
5
Let b be 2/(-8) + 3 + 55/(-20). Suppose b = 12*q - 92 + 32. Solve q*h = h + 16 for h.
4
Suppose 0 = 3*n + w - 32, 20 = -109*n + 112*n + 4*w. Solve -n*f + 10 = -7*f for f.
2
Suppose 14*m - 7*m = 217. Let v(c) = -m - 3*c - c + 24. Let y be v(-3). Solve -w = -6*w - y for w.
-1
Suppose 14 = 2*i + 2*r - 6*r, -5*r = 3*i + 23. Let u be (-6)/i - (10 - 16). Solve 4 = -2*a + u for a.
4
Let m = 167 - 201. Let l = 50 + m. Solve -2*x - 2*x + l = 0 for x.
4
Let n be 7120/600 + 2/15. Suppose -17*v = -32*v. Solve 12 = -v*k + n*k for k.
1
Let l be (4 - (-5 - -12)) + 3. Suppose -11*m + 15*m - 16 = l. Suppose -2*o = -3*o + g, 0 = -o + m*g - 15. Solve -6 = 3*c - o*c for c.
3
Let g(x) = -2*x**2 - 39*x - 34. Let b be g(-18). Suppose 4*r = 6*s - s - 9, 5*r - b = 0. Solve -f - 24 = s*f for f.
-4
Suppose 0 = -5*b + 3*u + 26, -u - 20 = -2*b - 3*u. Let h(a) = -a + 7. Let j be h(b). Solve 5*x = -j*x + 15 for x.
3
Let x be (-122)/(-3) - 80/48. Let l = x + -35. Solve -l = 4*n - 2*n for n.
-2
Suppose 11*d = 5 - 16. Let v be (-240)/360*((-19)/2 + d). Solve -12*f = -v*f - 10 for f.
2
Let s(o) = o**2 - 9*o + 13. Suppose -7*u + 46 = -3. Let j be s(u). Let m be (1/1 - 5)/(j/2). Solve -4 = 3*d + m for d.
-4
Suppose 3*y - 3*l + 111 = 0, -4*y - 23 - 125 = 2*l. Let v be y/13 - (-6)/(-39). Let k = v + 3. Solve -5 = d - k*d for d.
-5
Suppose -142*a + 1660 = -18818 - 1390. Solve 0 = -31*i - 61 + a for i.
3
Let u(z) = -3*z - 4. Let q be u(-2). Let g be (-4 + q)/2*0/(-12). Suppose -4*n + 9 = k, -4*k - 7 - 5 = g. Solve 0 = s - n*s for s.
0
Let t be 0/(-2*(-4)/(1 + -5)). Let s be (-18)/((-3)/1) - (5 + -5). Solve t = v - s*v for v.
0
Let k(v) = -138*v + 423. Let m be k(3). Solve -m*r - 401 = -329 for r.
-8
Let r = 124 + -94. Suppose -5*l + 27 = 4*a, -5*a = -17*l + 22*l - r. Solve -l*u + 0*u = 12 for u.
-4
Let o = 329 - 326. Suppose o = 5*s - 27. Solve -3*t - s = -5*t for t.
3
Suppose -211 + 643 = -20*n + 68*n. Solve -4*g = 7 + n for g.
-4
Suppose 5520*g + 4 = 5522*g. Solve g*l - 39 + 43 = 0 for l.
-2
Let u(r) = -3*r**2 - 83*r + 44. Let x be u(-28). Suppose x*f = -9*f. Solve f = -k - 1 for k.
-1
Let i(x) = -9*x + 21. Let l be i(5). Let u = -81 - l. Let z = 57 + u. Solve z = 4*s - 5*s + 4 for s.
4
Suppose 54*k - 162 = 36*k. Let n = 35 + -31. Solve 0 = -n*f - k - 11 for f.
-5
Suppose 2*p + 226 = 4*k, 3*p + 853 = 15*k + p. Solve -49*c + k*c = 56 for c.
7
Suppose -15 = 3*b, 44*r - 3*b = 49*r + 15. Solve 9*u + 3*u + 60 = r for u.
-5
Let q = -1512 + 1515. Solve 18*z + q = 57 for z.
3
Let j be (0/10)/(-2 - -1). Suppose -5*y - h - 8 = j, 3*y - 4*h = -0*y - 14. Let x be 1/y*6 - -3. Solve 2 = -x*v + 2*v for v.
1
Let f = -680 + 685. Suppose -f*a = -127 + 102. Solve a*u = 9 + 1 for u.
2
Suppose -3290 = -74*f + 6411 - 1265. Solve -f*m = -126*m - 12 for m.
-1
Suppose 73*s - 66*s = 2338. Let a = s + -331. Solve z + a*z = 8 for z.
2
Let l be -2382*6/(-27) - (-46)/(-138). Solve -3*o + 538 = l for o.
3
Let p = -3021 - -3025. Solve -k - 1 = -p for k.
3
Let j be (-16)/120 - (-2)/15. Let p be (-1169)/(-167)*((-20)/(-14) + j). Solve -10*r = -5*r + p for r.
-2
Let c be (18/36 + 6/(-4))*-193. Let i = -181 + c. Solve -y = 2*y + i for y.
-4
Let y = -9070 - -9072. Solve 58 = y*n + 70 for n.
-6
Let w be (-6)/2 + 12/((-6)/(-2)). Let n be (-1 + w + 5)/(-10 + 11). Solve c + 16 = n*c for c.
4
Suppose 40*p - 136*p + 1555 = -3437. Solve -p = -11*n + 3 for n.
5
Let a(l) = -8*l + 2. Let n be a(-1). Suppose -13 = -2*i + s, i = 4*s - 8*s + 2. Suppose 8*t = n*t - i. Solve 3*q - t = 4*q for q.
-3
Let u = 191 + -623. Let j = u - -437. Solve 1 = j*l + 16 for l.
-3
Let y(u) = -u**2 - 7*u + 6. Let w be 0 - (10 - (-12)/(-3)). Let g be y(w). Solve -3*r - g + 0 = 0 for r.
-4
Let m = 67 + -1. Suppose -5*t + 47 = -273. Let f = m - t. Solve -f*v = v for v.
0
Let a be (56/(-35))/(6/(-15)). Let s be (-102)/(-4) + (-1 - a/(-8)). Solve 0*y = -5*y + s for y.
5
Let b = 1997 + -1982. Solve -4*l - 11 = -b*l for l.
1
Let l be (-8)/(-12) + 5780/(-30). Let j be (-25)/(-11) + l/704. Solve -2*y + 8 = j for y.
3
Suppose 5*u - 13*u = 11*u. Solve u = 12*p - 31*p for p.
0
Let o(i) = -3*i + 2. Let x be o(0). Suppose 0 = -x*t, 0 = 3*w + 3*t + t - 12. Let m = 18 + -12. Solve w*u = m*u - 6 for u.
3
Let v be ((-21)/(-48))/(3/1146) + (-1)/8. Solve -7*u - v = -139 for u.
-4
Let z(x) = x**3 + 49*x**2 + 58*x - 239. Let f be z(-48). Let a = f + 759. Solve 8*o + a = 16*o for o.
5
Let w = 278 - 276. Suppose 10 = 2*t - w*y + 4, y = 4*t - 27. Solve -17*h + 19*h = t for h.
4
Suppose u + 4*r - 34 = -0*u, -4*u + 2*r = -154. Let l be (u/(-5))/((-4)/40). Let c = l + -51. Solve -6*i + i = -c for i.
5
Let k(c) = 6*c - 27. Let b be k(5). Let v(r) = 3*r + 8*r**b - 6*r - 7*r**3 + 2. Let h be v(-2). Solve u + 1 - 2 = h for u.
1
Suppose -6*d = -27*d + 19*d + 102. Solve -24 = -d*x + 27*x for x.
1
Let g(u) = -u**3 + u**2 + 19*u + 35. Let c be g(5). Solve c = -9*b - 6*b for b.
-2
Let f be ((-120)/28)/((-230)/1932). Solve a - 10*a - f = 0 for a.
-4
Let b = -242 + 241. Let t be b*(2/10 + (-144)/20). Solve 3*f + 2 = -t for f.
-3
Suppose 9*x = 4*t - 68, t - 6*t + x = -44. Solve m - 7 = t*m for m.
-1
Let z = 385 - 380. Suppose 531 = z*q + 411. Solve -6*k + q + 0 = 0 for k.
4
Let h(i) = 4*i + 8. Let s be h(-5). Let v = s + 13. Let q be (-1)/(v/20)
|
{
"pile_set_name": "DM Mathematics"
}
|
on factor of 18 and n.
6
Let t be ((-8)/(-18))/((-8)/(-36)). Let p be 12/2 + (1 - 2). Suppose -i + 372 = t*i - 4*n, -i - p*n = -143. Calculate the greatest common factor of 16 and i.
16
Suppose -2*a + a = -56. Calculate the highest common divisor of a and 8.
8
Let o = -62 + 113. What is the highest common divisor of o and 34?
17
Suppose -3*a + 4 = -2. Let z = -8 + 12. Suppose -a*l = 0, -660 = -z*b + 2*l + l. What is the highest common factor of 15 and b?
15
Let t(c) = -c**2 + 9*c - 4. Suppose -6*z + z = -30. Let b be t(z). What is the greatest common factor of 14 and b?
14
Suppose 14 = 3*c - 34. Let q(f) = -f**3 + 9*f**2 + 6*f - 6. Let z be q(9). What is the highest common factor of c and z?
16
Suppose 0 = 4*h - 96 + 8. What is the highest common factor of 110 and h?
22
Suppose -b - b = 0. Suppose 0 = 2*a + 2*g - 28, 0 = a - b*g + 4*g - 2. Let z = a - -4. Calculate the highest common factor of 33 and z.
11
Suppose -12 = -3*q, 2*b + 4*q = -q + 40. Calculate the highest common factor of b and 4.
2
Suppose 219 + 837 = 8*o. Calculate the greatest common divisor of 12 and o.
12
Let t(o) = 0*o**2 + 2 - o**3 + 5*o**2 + 7*o**2. Let q be t(12). Suppose 10 = q*m - 160. What is the greatest common factor of m and 34?
17
Let l be (48/(-1))/3*-12. What is the greatest common factor of 12 and l?
12
Let b = -7 + 31. Let i = b - 12. Calculate the greatest common divisor of i and 108.
12
Let c(o) = -48*o + 3. Let b be c(-2). What is the highest common divisor of 9 and b?
9
Let n be (-882)/(-45) + (-4)/(-10). Let k be 1 + (-2 - (1 - 2)). Suppose k*h + 40 = 5*h. Calculate the greatest common factor of n and h.
4
Suppose -5*f = -f + 5*u - 27, -3*f + 5*u - 6 = 0. Suppose 12 = f*t + t. Calculate the highest common factor of t and 27.
3
Suppose -5*p - 6 = -4*p. Let l(g) = -g. Let i be l(p). Calculate the highest common divisor of i and 12.
6
Let g(d) = 5*d**2. Let l be (1 - (4 + 0)) + 5. Let q be g(l). What is the greatest common divisor of 8 and q?
4
Suppose 5*j - 22 - 17 = -3*s, -9 = -3*j. Let v be s/(-2)*(-18)/8. What is the greatest common divisor of v and 6?
3
Let b(y) = -5*y + 0*y + 3*y - 3 - 1. Let w be b(-7). Calculate the highest common factor of 30 and w.
10
Let n = 937 - 596. What is the greatest common factor of n and 31?
31
Let z(i) = -i**2 - 2*i - 1. Let p be z(-3). Let o = p + 54. Suppose -2*v + o = 3*v. What is the highest common factor of v and 15?
5
Let y be 11*(-2 + 0 - -3). Let o be (1 - (0 - -64))*-1. Suppose 0 = -s - o + 184. What is the highest common factor of y and s?
11
Suppose 0 + 8 = 4*h. Let d(m) = -4*m - 6. Let j be d(-2). What is the highest common divisor of j and h?
2
Let m(a) = a**3 + 4*a**2 - 2*a. Let z be m(-4). Let r = z + -6. Calculate the greatest common divisor of r and 10.
2
Suppose 7 = 4*f - 3*f. Let t be (-174)/(-10) + (-4)/10. Let r = t + -10. What is the greatest common divisor of r and f?
7
Let s = 2 + -4. Let r be (-1 - s) + 3 + -2. Let p = 2 + r. Calculate the greatest common divisor of p and 1.
1
Let i(t) = 5*t**3 + 3*t**2 - 1. Let j be i(-2). Let f = j + 41. Let o be 8/(-3)*f/(-8). Calculate the highest common divisor of o and 44.
4
Let k = -1 - -2. Let w(z) = 2*z**3. Let q be w(k). Suppose -17 = -3*x - q. Calculate the greatest common divisor of 1 and x.
1
Let y(x) = -x**2 - 5*x + 6. Let r be y(-6). Suppose 3*p + 14 - 2 = r. Let v be ((-1)/1)/(p/180). What is the greatest common factor of 9 and v?
9
Suppose -25 = -5*p - 0*a + 3*a, -p = 3*a + 13. Suppose 0 = -0*l + l. Suppose 2*w = -l*w + p. Calculate the highest common factor of 3 and w.
1
Let a(j) = j. Let q be a(-3). Let u(p) = -2*p**3 - 3*p**2 - 4*p - 4. Let l be u(q). Suppose 0*k - 5*k = -l. Calculate the greatest common factor of k and 63.
7
Let f = -43 - -50. What is the highest common divisor of f and 21?
7
Suppose n + 4*n = 450. Suppose y = -3*y - 4. Let v be 4*3 - (3 + y). Calculate the highest common factor of n and v.
10
Suppose 0 = 10*f - 5*f - 100. Calculate the greatest common divisor of 20 and f.
20
Let v be ((-1)/3)/((-4)/228). Suppose -3*j + 2*j + 4*d = 21, -5*j + 3*d = 37. Let k = v + j. What is the greatest common divisor of 56 and k?
14
Suppose s = 5*r + 187, 3*s - 3*r - 561 = -0*s. What is the highest common divisor of 17 and s?
17
Let o = -27 - -82. What is the highest common divisor of o and 22?
11
Let z = -75 + 82. Calculate the greatest common divisor of 28 and z.
7
Suppose 4*b + 8*b - 4704 = 0. What is the highest common divisor of 49 and b?
49
Let t = 8 - 13. Let y(i) = -i**2 - 8*i - 5. Let p be y(t). Calculate the highest common factor of p and 2.
2
Suppose -7*q = 196 - 1274. Calculate the highest common divisor of q and 14.
14
Suppose -d = -3*d + 54. Suppose 0*l + 14*l - 42 = 0. What is the greatest common factor of l and d?
3
Let x be (6/4)/((-1)/(-48)). Suppose 4*i - 4*c - 13 = -1, -5 = 5*c. Suppose 3 + 13 = i*n. Calculate the greatest common factor of n and x.
8
Suppose 18 = -0*k + k. Calculate the highest common factor of k and 27.
9
Let z = -4 - -12. Suppose 0 = 5*m - p - 115, -5*m + 3*p + 152 = 47. Calculate the greatest common factor of z and m.
8
Let k = 6 - 1. Suppose 0 = -3*n - 0 + 6. Calculate the greatest common factor of k and n.
1
Let c be (0 + -1)/(1/(-17)). What is the greatest common divisor of 17 and c?
17
Let p = -5 - 1. Let z = p + 10. Suppose -2*j = 4 + 6, -5*g + 5*j = -45. What is the highest common divisor of z and g?
4
Let t(v) = -v**3 - 3*v**2 - 3*v - 1. Let k be t(-3). Let s = -30 + 58. Let p be 8/s - (-12)/7. Calculate the highest common divisor of p and k.
2
Let w(f) = 3*f - 2. Let v be w(1). What is the highest common factor of 4 and v?
1
Let i(q) = 2*q**2 - 6*q - 4. Let f be ((-4)/3)/(7/21). Let h be i(f). What is the highest common factor of 26 and h?
26
Let j be 0 + 1 + 0 - -19. Let x(s) = -s**2 + 6*s + 10. Let g be x(10). Let q = 20 - g. Calculate the highest common factor of q and j.
10
Let l be (-12)/(-18) + 106/3. What is the greatest common factor of l and 54?
18
Let u = -4 - -8. Suppose -3*p - 16 = -4*o, -7 - 9 = -u*o + 2*p. Let n be 2 + 2 + -1 + 1. What is the highest common divisor of o and n?
4
Let t be (-24)/18*42/(-4). Calculate the greatest common divisor of t and 2.
2
Suppose 2*j + 5*g = 28 + 25, 4*j = -2*g + 82. Calculate the highest common factor of j and 171.
19
Let f be 10/(-15)*(-10 + 1). Let b = 37 - 22. Calculate the highest common factor of b and f.
3
Let j be ((-2)/(-6) - (-4)/6) + 53. Calculate the highest common factor of j and 27.
27
Let h(z) = -z + 9. Let p be h(-6). Let c = -14 + p. Calculate the greatest common divisor of 3 and c.
1
Let u(h) = 2*h**2 - 5*h - 7. Let r be u(-7). Suppose -g = g - r. Suppose -2*i + 19 = 1. What is the highest common divisor of g and i?
9
Suppose -3*y + 38 = -4*g, -2*y = 3*y - 3*g - 45. What is the highest common factor of 2 and y?
2
Let s = 112 + -32. What is the greatest common factor of 40 and s?
40
Suppose 114 = -5*a + 364. What is the greatest common factor of a and 10?
10
Suppose -2*p - 38 = 4*n, -4*n - 12 = 8. Let a = 5 - 9. Let j = a - p. Calculate the highest common divisor of 5 and j.
5
Let h be (-1)/5 + 4/(-5). Let t(s) = -91*s**3 + 2*s + 1. Let v be t(h). Calculate the highest common factor of v and 10.
10
Suppose -2*l = -l - 3. Let t = l - 4. Let m be -4*3/(-6) - t. What is the greatest common factor of 27 and m?
3
Suppose 5*p = 85 - 15. Let c(m) = -m**3 - 14*m**2 + 16*m + 17. Let o be c(-15). What is the highest common factor of o and p?
2
Suppose -2*u + j + 4*j + 276 = 0, -4*u = -j - 534. Suppose -5*p - u = -23. Let s = 40 + p. Calculate the greatest common factor of s and 45.
9
Suppose -2*g + 88 + 60 = 0. Suppose -4*b - g = -394. Calculate the greatest common factor of 10 and b.
10
Suppose -5*d + a + 5 = 0, -5*d - a = -d - 4. Let w = 35 - 16. Suppose -w = -j + d. Calculate the greatest common factor of 5 and j.
5
Suppose 3*a = -2*a - 4*l + 1023, 4*l - 816 = -4*a. Let t = 44 - 21. What is the highest common factor of a and t?
23
Suppose -i - 2*q = i - 20, i = q. Calculate the highest common divisor of 20 and i.
5
Let a = -7 + 18. Suppose -z = -a - 34. Calculate the highest common divisor of 9 and z.
9
Let h be ((-246)/(-4) - 1)*2. Let j = -20 + 31. What is the greatest common factor of h and j?
11
Suppose -12*q = -16*q + 64. What
|
{
"pile_set_name": "DM Mathematics"
}
|
9*z**4 - z**4 + 0*z**4.
5*z**4 + z**2
Expand (1 - 6*q + 10*q - 3*q)*(-8 - 4 + 5).
-7*q - 7
Expand (-3*s - s**3 + 3*s)*(11*s + 3*s - s).
-13*s**4
Expand (-4*s + 0*s + 2*s)*(5*s + 3*s - 2 - 10*s).
4*s**2 + 4*s
Expand (2 + 3*b - 2)*(1 + 2*b - 1)*(-6*b + 3*b + 5*b).
12*b**3
Expand -4*r - 4*r + 6*r + (0*r - r - r)*(-11 + 2 - 11).
38*r
Expand (-1 - 5 + 3)*(2*p**5 - p**3 + p**3) + 2*p**5 + 2*p**5 - p**5 - 4*p**5 - p**5 - 5*p**5.
-13*p**5
Expand (-2*v**2 - 2*v**2 + 5*v**2)*(0*v - v - v) + 42*v**3 - 51*v + 80*v - 29*v.
40*v**3
Expand j**5 - 2 + 2 + 3*j**3 - 3*j**3 + j**5 + (0*j**5 + 3*j**5 - 2*j**5)*(-4 + 4 - 2) - j**5 + 15*j**5 - 4*j**5.
10*j**5
Expand (0 + 0 - d)*(2*d**4 - 2*d**4 - 2*d**4) - 2302*d**3 + 2302*d**3 + 26*d**5.
28*d**5
Expand (-1 + 1 + 6*h + (4 - 2 + 0)*(0 + 0 + h) - 2*h + 0*h + h)*(h**2 - 5*h**2 + 2*h**2)*(-2 - h + 2)*(-4 + 0 + 3).
-14*h**4
Expand (0*g + 2*g**2 + 0*g)*(-2*g**3 + g**3 + 3*g**3) + (-5*g + 3*g**2 + 5*g)*(2 - 2 - g**3).
g**5
Expand (2*c**2 - 2*c**2 + 2*c**3)*(0 - 2 + 3).
2*c**3
Expand 0*z - 2*z**2 - 6*z + 2*z + (1 - 1 + 2*z**2)*(-2 + 1 + 0) + 5*z - z**2 - 5*z.
-5*z**2 - 4*z
Expand -q**5 - 1 + 1 + (4 + 2*q**3 - 4)*(-5*q**2 - 2*q**2 + 3*q**2).
-9*q**5
Expand (4 - 4 + 3*m)*(82 - 82 + 16*m**3).
48*m**4
Expand (-2*d**2 + d**2 + 6*d**2)*(-4*d**2 + d**2 - 2*d**2) - 3*d**4 + 2*d - 2*d.
-28*d**4
Expand (-3*v**3 + v**3 + 3*v**3)*(3*v - 4*v**2 - 3*v) - v**5 - 4*v**2 - 3*v**2 + 3*v**2.
-5*v**5 - 4*v**2
Expand -3*j**4 - 2*j**4 + 3*j**5 - 5*j**5 + (2*j + 2*j**4 - 2*j)*(-2*j + 2*j - j) + 2 - j**5 - 2.
-5*j**5 - 5*j**4
Expand (3*p**3 + 2*p**3 - p**3)*(2*p + 3 - 3) + p**2 - 2*p**4 - p**2.
6*p**4
Expand (4*r - r - r)*(2 + 1 + 3).
12*r
Expand (-3*i**2 - 4*i**2 + i**2)*(2*i - 2*i + 2*i + (3 - 1 + 2)*(-4*i - i + 3*i)).
36*i**3
Expand (-2*b**4 + b**4 - 2*b**4)*((7 + 25 - 6)*(-2 + 7 - 3) + 2 - 1 - 2).
-153*b**4
Expand (-19 - 2 + 3)*(0*c**2 + 6*c**2 - c**2).
-90*c**2
Expand (-7 + 2 + 4)*(2*j + 0*j + 0*j)*(3 - 5 - 1)*(-1 + 0 - 1)*(1 - 1 - 1).
12*j
Expand (0 + 0 - l)*(0*l**2 - l**2 + 2*l**2).
-l**3
Expand -2*g + 0*g + 0*g + 3*g + 0*g - g + (1 + 2 - 2)*(-2*g + 0*g + 3*g) + (0 + 2 + 1)*(1 - 1 + 2*g).
7*g
Expand 5 + u**2 - 4 - 2*u**2 + (0*u + 3*u - 4*u)*(u - 5 + 5).
-2*u**2 + 1
Expand (4 - 4 - 4)*(0*n + n + 0*n)*(5*n - 4*n + 3*n).
-16*n**2
Expand (-o + 1 - 1)*(-4 + 0 + 1)*(-4 - 3*o + 4).
-9*o**2
Expand (0 + 0 - 2)*(0*o + o - 2*o) + (1 - 1 - o)*(-4 + 4 + 2) + 1 - 1 - o.
-o
Expand -3*p**5 + 0*p**5 + 5*p**5 + (p - 2*p**2 - p)*(-13 + 6*p**3 + 13).
-10*p**5
Expand 2*u**3 + u**2 - u**2 + (-6*u + 2*u + 10*u)*(-3*u**2 + 3*u**2 - u**2).
-4*u**3
Expand (2*i**4 - 3*i**4 + 3*i**4 + (0*i + 2*i - 4*i)*(-2*i**3 + 2*i - 2*i) + i**3 - i**3 - i**4 - 3*i + 3*i**4 + 3*i)*(-6 + 5 + 5).
32*i**4
Expand 2*y - y**3 - 2*y + (4*y**2 - y**2 - 2*y**2)*(3*y + 0*y - 5*y) + (2*y**2 - 6*y**2 + y**2)*(1 + y - 1) - 3*y**2 - 3*y**3 + 3*y**2.
-9*y**3
Expand (-7 - 1 + 26)*(3 - 2*j**3 - 3) - 4 - 2*j**3 + 4.
-38*j**3
Expand (-1 - q + q - 2*q)*(-5 + 4 + 6).
-10*q - 5
Expand -3*c**5 + 4*c**5 - 3*c**5 + (-4*c**2 + 3*c**2 - c**2)*(3*c**3 - 2*c**3 + 0*c**3) + c**5 + c**5 - 3*c**5.
-5*c**5
Expand (52 - 6*z**2 - 52)*(-z - 3 + 3).
6*z**3
Expand (-3*j + j**3 + 3*j)*(-2 + 0 - 3).
-5*j**3
Expand (-8 + 6 + 2*b + 1)*(b**4 + b**4 - 4*b**4).
-4*b**5 + 2*b**4
Expand -2*u**2 + 2*u**2 + u**2 + (3*u - 3*u - 3*u)*(3*u + 6 - 6).
-8*u**2
Expand (-3 + 3 + 2 - 8*o**2)*(2*o + 1 - 1).
-16*o**3 + 4*o
Expand (-4 + 4 - 1)*((0 - 2 + 1)*(-2*d - 3 + 3) + d - 5 + 5)*(-5*d**4 - 11*d**4 - 2*d**4).
54*d**5
Expand -2*m**5 - 4*m + 5*m + 0*m**5 + 0 - m**5 + 0 + (2*m**4 + m**4 - 5*m**4)*(2*m - 2*m - 2*m).
m**5 + m
Expand -2*i + 0*i + 3*i - i - 2*i + 5*i + (-2 + 2 + 2*i)*(2 - 7 + 3) + i - 2*i + 0*i.
-2*i
Expand (-3*y**3 + y**3 - 10*y**4 - 6*y**4)*(5*y - 2*y + y).
-64*y**5 - 8*y**4
Expand (-3*u**3 + 2*u**3 + 0*u**3)*(0*u + 0*u + u) - u**4 - 4*u**4 + 4*u**4 + (4*u**4 + 3*u**4 - 5*u**4)*(0 - 1 + 2) - 1 + 3*u**4 + 1.
3*u**4
Expand ((-5 + 0 + 4)*(h + 3*h - 5*h) - 5*h + 7 - 7 - h + 2*h - 2*h)*(1 - 1 + h).
-5*h**2
Expand (0*w + 2*w**3 + 0*w)*(-4 + 2 + 1) + (-2 - 3*w + 2)*(10 - 10 + 5*w**2).
-17*w**3
Expand (-w - 4*w + 4*w)*(3*w + 0*w - 2*w) - 33*w**2 + 3*w**2 + 0*w**2.
-31*w**2
Expand (-q - 1 + 1)*(4*q**3 - 4*q**3 - q**3 + (0 + 0 + 2*q**2)*(-4*q - q + 4*q) - q**3 + 0*q**3 - 3*q**3).
7*q**4
Expand (-7*u + 4*u - 13*u)*(-5 + 2 + 2).
16*u
Expand -3*d**4 + 1 - 1 + 6*d**4 + 27*d - 27*d + 5*d**4 - 2*d**4 - 4*d**4 + (0*d**3 + 4*d**3 - 2*d**3)*(3*d + d - 6*d).
-2*d**4
Expand (-3 + 3 + 2)*(-3*t**3 + 2*t**3 + 2*t**3)*(-5*t**2 + 7*t**2 - 13*t**2).
-22*t**5
Expand (-2*q**3 + 4*q**3 - q**3)*(-44*q**2 + 0*q - 2*q + 35*q**2).
-9*q**5 - 2*q**4
Expand (-p - 3*p - 2 + 0*p)*(-24*p - 11*p**3 + 24*p).
44*p**4 + 22*p**3
Expand (2*x + 2*x**5 - 2*x)*(1 - 2 + 3) + (-2*x + 2*x**4 + 2*x)*(-25*x - 5*x + x).
-54*x**5
Expand ((6 - 1 - 4)*(4 - 4 + 2) + (-4 + 1 + 1)*(0 + 4 - 5) + 3 + 1 - 6)*(2 - 2 + 2*s).
4*s
Expand -2*w**2 + 2*w**4 + 2*w**2 + (3*w - 6*w + w)*(-w**3 + 2*w**3 - 2*w**3) + (-5*w + w + 3*w)*(-39 - 2*w**3 + 39 + 12*w).
6*w**4 - 12*w**2
Expand (0 - 1 + 3)*(-2 - 2*v + 2) + (-2*v + v + 0*v)*(8 - 1 - 1).
-10*v
Expand (2 - 2 - 3*l)*(43 + 10 - 8).
-135*l
Expand 19*q**2 + 21*q**2 + 1 - 39*q**2 + 2*q**4 + (-3*q + q + q)*(0*q**3 + q**3 + q**3) + 0*q**4 - 2*q**4 + 0*q**4.
-2*q**4 + q**2 + 1
Expand 10*k**5 + 10*k**5 - 6*k**5 + (-k**4 + k**2 - k**2)*(-1 + 1 + 2*k).
12*k**5
Expand (-4*k**2 - k**2 + 3*k**2 + k**2 - 1 + 1 + (0 + 3 - 4)*(2*k**2 + 4*k - 4*k))*(-2*k**2 - 3*k**2 + 3*k**2).
6*k**4
Expand (-1 - 2 + 2)*(-7 + 6 + 13)*(2*d - d - 2*d)*(-2*d + 0*d + d).
-12*d**2
Expand 0*x + 5*x + 4*x + (-x + 0*x - x)*(-5 + 4 + 2)*(-2 + 2 + 1).
7*x
Expand (-b + 0 + 0)*(-8 + 6 - 7).
9*b
Expand 5*m**3 + 6*m**3 - 5*m**3 + (0*m**2 + m**2 - 2*m**2)*(-5*m - m + 5*m) + 2*m**3 + 3*m**3 - 3*m**3 - 4*m**3 + 5*m**3 - 3*m**3.
7*m**3
Expand (0 + 4 - 2)*(-t + 3*t - t)*(t**3 + t**3 + 0*t**3).
4*t**4
Expand (-c**2 - c**5 + c**2)*(1 + 8 + 0)*(1 - 5 + 2).
18*c**5
Expand -3*k**3 - k**3 + 2*k**3 + (3*k - k + 0*k)*(-k**2 + 0*k**2 - k**2) + 10 - 4*k**3 + 16 - 28 + (k + 0*k + 0*k)*(-2*k**2 + 2*k - 2*k).
-12*k**3 - 2
Expand -j + 2 - 2 + (-j - 2*j + j)*(1 - 2 - 1) + j - j + 2*j + (-4 + 3 + 3)*(6*j - 3*j - j).
9*j
Expand (-30*m**2 + 27*m**2 - 38*m**2)*(-m**2 + 1 - 1).
41*m**4
Expand (5*v + v - 3*v)*(0 - 2*v + 0)*(-1 + 0 - 2).
18*v**2
Expand (-8 + 5*a - 3*a**2 + 8)*(-a - 3*a + 3*a).
3*a**3 - 5*a**2
Expand (23 + 18 - 56)*(-3*w - 3*w + 4*w)*(3*w + 3*w - 4*w).
60*w**2
Expand 2*u**3 - u**3 + 2*u**3 + (1 + 2 - 1)*(-u**3 + 2*u**3 - 3*u**3) + (0 - u**2 + 0)*(2*u - 1 + 1) - 3*u**3 + 2 - 2.
-6*u**3
Expand m**5 - m**5 + 2*m**5 + (-3*m**4 + 2*m**4 + 2*m**4)*(-3*m - 1 + 1) - 3*m**5 - 3*m**5 + m**5 + (-3*m**5 + 3*m**5 - 2*m**5)*(0 + 3 - 1).
-10*m**5
Expand -16*f**3 + 2*f**5 + 16*f**3 - f**5 - 2*f**5 + 4*f**5 - 1 + 1 - 2*f**5 + (2*f - 4*f + f)*(2*f**4 + 1 - 1) + 2*f**5 - 4*f**5 + 0*f**5.
-3*f**5
Expand (b - 2*b + 9*b)*(-3 + 1 + 6).
32*b
Expand (0*z + 0*z - 2*z**3)*(-2*z + 111*z**2 - 2*z - 108*z**2).
-6*z**5 + 8*z**4
Expand -3*r**5 + 2*r**5 + 2*r**5 + (6*r + 4*r**3 - 6*r)*(7*r**2 + 2*r**2 - 4*r**2) + 2*r**5 + r**5 - r**5.
23*r**5
Expand (2 + 3 - 3)*(-1 + 1 - 2*a**2) + (-3*a**2 + a**2 + 0*a**2)*(-3 + 2 + 0) - a + 5*a**2 + a.
3*a**2
Expand (1 - 1 + 1)*(-2*k + 3 - 3 + 2*k + 2*k - 3*k + (3 + 0 - 4)*(5*k - k - 2*k))*(-k**2 + k**2 + k**2).
-3*k**3
Expand (5 - 5 - 2*h)*(-h - 3 + 3) + 2*h**2 - 4*h + 4*h.
4*h**2
Expand -2*c**4 + 5*c**4 - 2*c**4 + (-2*c + 0*c + c)*(-1522*c**2 + 63*c**3 + 1522*c**2).
-62*c**4
Expand -4*b + 4*b - b**3 + (1 - 5 + 2)*(1 - 1 - 2*b)*(-b**2 - 5*b + 5*b).
-5*b**3
Expand 0*l**2 + 0*l**2 + 2*l**2 + (-2*l**2 + l**2 + 0*l**2)*(-1 - 3 + 3) + 5*l - 5*l + 2*l**2 + 3*l - l + 2*l**2 + l.
7*l**2 + 3*l
Expand -u**2 - 4*u**2 + 19*u**5 - 22*u**5 + (2 + 1 - 4)*(4*u**5 - 6*u**5 + u**5).
-2*u**5 - 5*u**2
Expand (0*z**4 + 5*z**4 - 2*z**4)*(-14*z + 5*z + 4*z).
-15*z**5
Expand (2 - 5 + 4)*(2 - 2 + 1)*(2*q - q - 2*q).
-q
Expand (-g**2 - 3*g**2 + 3*g**2)*(1 + 2*g - 1) + (0*g - 2*g + 6*g)*(-g**2 + g - g).
-6*g**3
Expand -3*h**4 + 4*h**4 + h**4 + (-3*h**2 - h**2 + 2*h**2)*(0 - 2*h**2 + 0) + h**3 - h**3 - 2*h**4 + (-3 + 1 + 0)*(2*h**4 - h**4 + 0*h**4).
2*h**4
Expand (2 - 3 + 2)*(-2 + 2 - 4)*(2*u - u + 3*u).
-16*u
Expand (0*s**2
|
{
"pile_set_name": "DM Mathematics"
}
|
et c(d) = 4*d**2 - d + 4. Let q(g) = -28*g**2 + 12*g - 13. Let s(o) = 10*c(o) + 2*q(o). Let m(y) = -y**2 + y + 1. Give l*s(u) - 28*m(u).
-4*u**2
Let a(w) = w - 15*w**3 - 4*w - w**2 + 13*w**3 - w**2 - 3. Suppose -3 = -5*p + 27. Let g(v) = 14 + v**2 - 27 + v + 5 + 4 + v**3 + 5. Calculate p*g(d) + 2*a(d).
2*d**3 + 2*d**2
Let i(h) = -h**3 + h**2 - h. Let a(r) be the first derivative of 5*r**4/4 - r**3 + 3*r**2/2 - 2*r + 7170. Determine -a(p) - 6*i(p).
p**3 - 3*p**2 + 3*p + 2
Let z(h) = 2*h**3 - 2*h**2 + h - 1. Let o(i) = 18*i**3 - 5*i**2 + 3*i - 4. Determine o(l) - 4*z(l).
10*l**3 + 3*l**2 - l
Let v = -18551 - -18544. Let j(x) = -x**2 + 4*x - 2. Let q(l) = l**2 - 4*l + 1. Determine v*q(p) - 6*j(p).
-p**2 + 4*p + 5
Let z(m) = -2*m - 2. Let j(o) = 6258*o + 194001. Let v be j(-31). Let k(u) = 10*u + 7. Let n(b) = 9*b + 7. Let s(q) = -4*k(q) + 5*n(q). Give v*s(c) + 8*z(c).
-c + 5
Let q(m) = 14274*m**3 + 2*m**2 - 22*m. Let f(h) = 33415435*h**3 + 4683*h**2 - 51513*h. What is -2*f(w) + 4683*q(w)?
14272*w**3
Let q(r) = -6*r**3 + r**2 + 8*r - 20. Let b(n) = -10*n**3 + 2*n**2 + 17*n - 51. Determine 2*b(y) - 5*q(y).
10*y**3 - y**2 - 6*y - 2
Let h(o) = -262*o + 12. Let d(v) = -6292*v + 286. Calculate -6*d(t) + 143*h(t).
286*t
Let f(l) = 10*l**3 + 286*l**2 + 6*l + 6. Let p(j) = 18*j**3 + 571*j**2 + 11*j + 10. Give 5*f(i) - 3*p(i).
-4*i**3 - 283*i**2 - 3*i
Let z(h) be the second derivative of -5*h**3/6 - 13*h**2/2 + 23*h - 1. Let v(c) = c + 19. Let n be v(-23). Let x(o) = -2*o - 6. Calculate n*z(q) + 9*x(q).
2*q - 2
Let p(x) = -2*x**3 + 9*x**2 - 631*x + 9. Let w(k) = 6*k**3 - 25*k**2 + 1889*k - 24. What is 11*p(q) + 4*w(q)?
2*q**3 - q**2 + 615*q + 3
Let k(c) = -1807*c**2 + 4*c + 4. Let b(w) = -5903454*w**2 + 13069*w + 13069. What is -4*b(q) + 13069*k(q)?
-1867*q**2
Let w(p) = 2*p**3 - 5*p**2 + 7*p - 7. Let b = 869 - 861. Let n(x) = -3*x + 48*x**2 - 46*x**2 + 12*x**3 + 3 + b*x**3 - 21*x**3. What is 5*n(q) + 2*w(q)?
-q**3 - q + 1
Let w(t) = -479*t + 1. Let y(v) = 1910*v - 4. What is -15*w(m) - 4*y(m)?
-455*m + 1
Let b(p) be the third derivative of p**6/120 - p**5/60 + p**4/24 - p**2. Let o(j) = 3*j + 2*j**3 - 3*j**2 - 65997 + 131989 - 65992. Give -5*b(f) + 2*o(f).
-f**3 - f**2 + f
Suppose -5*t + 25 = -5*p, t - 16 = 2*p + 5*t. Let h(k) = -4*k + 47. Let j(n) = 2*n - 23. What is p*h(q) - 13*j(q)?
-2*q + 17
Let x(k) = -4*k**3 - 8*k**2 - 12*k - 20. Let b be x(-2). Let y(n) = 3*n - 2. Let g(f) = 2*f - 2. Calculate b*g(t) - 3*y(t).
-t - 2
Let z(b) = 98 - 5 - 6*b - 74 - 10 - 7. Let o(d) = -7*d + 3. Calculate 4*o(h) - 5*z(h).
2*h + 2
Let j(o) be the first derivative of 5*o**3 + 9*o**2/2 - 9*o - 1093. Let g(v) = 7*v**2 + 4*v - 4. Calculate -5*g(y) + 2*j(y).
-5*y**2 - 2*y + 2
Let s(m) = -m**2. Suppose 5*t = 9*t + 60. Let g be 52/12 - (-20)/t. Suppose -g*k = -2*i - 1, -2*k = -7 + 1. Let d(j) = -4*j**2. Determine i*d(p) - 18*s(p).
2*p**2
Let x(j) = 11*j**3 + 4*j + 4. Let c(p) = 10*p**3 + 3*p + 3. Let t = -3067 + 3064. Determine t*x(o) + 4*c(o).
7*o**3
Let w(x) = 31*x + 2. Let f = 6399 + -6400. Let u(h) = -h. What is f*w(l) - 6*u(l)?
-25*l - 2
Let h(d) = 5*d**3 - 4*d**2 - 3*d + 3. Let g(c) = 11*c**3 - 9*c**2 - 6*c + 7. Suppose 553*u = 747*u - 1358. What is u*h(v) - 3*g(v)?
2*v**3 - v**2 - 3*v
Suppose -413 = 8*f + 211. Let h = f + 87. Let w(m) = 13*m**3 + 9*m**2 - 7*m. Let a(b) = 3*b**3 + 2*b**2 - 2*b. Give h*a(g) - 2*w(g).
g**3 - 4*g
Let n(z) = -108*z**2 - z - 16. Let v(i) = -321*i**2 - 3*i - 45. Calculate 17*n(y) - 6*v(y).
90*y**2 + y - 2
Let t(b) = -b**3 + 2*b + 1. Let d(n) = -2*n**3 + 70*n**2 + 21*n + 51. Let a be d(35). Let y = -781 + a. Let q(x) = -2*x**3 + 5*x + 3. What is y*t(c) - 2*q(c)?
-c**3 - 1
Suppose -11 = -705*m + 744*m + 28. Let q(s) = 4*s + 31. Let g(n) = -n + 1. Give m*q(f) - 3*g(f).
-f - 34
Let u be 1/(-7)*1*(14 + (-45 - 4)). Let b(o) = -o + 43. Let v(t) = 22. What is u*v(l) - 2*b(l)?
2*l + 24
Let i(t) = 4*t**3 - 17*t**2 + t - 7. Let y(w) = 16*w**3 - 58*w**2 + 3*w - 28. Determine -11*i(x) + 3*y(x).
4*x**3 + 13*x**2 - 2*x - 7
Let x(a) = -10*a**2 + 17921*a + 18. Let y(s) = -4*s**2 - s + 6. Determine x(l) - 3*y(l).
2*l**2 + 17924*l
Suppose -472*i - 5445 = 23*i. Let c(z) = -16*z - 16. Let y(n) = -7*n + 6. Let j(t) = -3*t + 3. Let g(o) = 13*j(o) - 6*y(o). Calculate i*g(u) - 2*c(u).
-u - 1
Let v(x) = -10*x**3 - 6. Let z(j) = -j**3 - 3*j**2 + 4*j + 4. Let g be z(-4). Let w(a) = 9*a**3 - 693 - 691 + 2077 - 688. Give g*w(y) + 3*v(y).
6*y**3 + 2
Let d(r) = -131 + 392 - 124 - 136. Let h(z) = -8*z**2 + 2*z + 12. Calculate 12*d(l) - h(l).
8*l**2 - 2*l
Let k(i) = -3*i + 9. Let n(o) = -3*o + 8. Let w(z) = 6*k(z) - 7*n(z). Let a(r) be the first derivative of 2*r**2 - 3*r - 79. Calculate -5*a(l) + 7*w(l).
l + 1
Let j(m) = -24*m + m**2 + 2*m**2 - 11*m + 48*m. Let g(k) = k**2 + 7*k. What is -11*g(u) + 6*j(u)?
7*u**2 + u
Let v(c) = -154*c**2 - 5*c + 1. Let t(g) = 154*g**2 + 6*g - 2. What is 4*t(r) + 5*v(r)?
-154*r**2 - r - 3
Let l(f) = -13*f + 3. Suppose -3*u + 8 + 13 = 0. Let o be 15*-2*(-64)/6. Let i(h) = 2 + o*h + 327*h - 654*h. Calculate u*i(k) - 4*l(k).
3*k + 2
Let z(i) = 10*i**3 - 847*i - 3. Let u(f) = -7*f**3 + 842*f + 2. What is 3*u(m) + 2*z(m)?
-m**3 + 832*m
Let o(a) = -a - 2. Let f be (6 - (-2 - -2 - -1)) + 1. Suppose f*h + 2*h = 40. Let w(c) = -1 + 5*c - 4*c - 1 + 3. Give h*w(i) + 3*o(i).
2*i - 1
Let v(o) = -51*o + 5230. Let y(i) = -23*i + 2614. Determine 4*v(h) - 9*y(h).
3*h - 2606
Let m(h) = -h**2 + 15*h + 4. Let d be m(15). Let l(g) = -4*g**3 + 6*g**2 - 4*g - 2. Let t(f) = 3*f**3 - 5*f**2 + 5*f + 2. Calculate d*l(q) + 5*t(q).
-q**3 - q**2 + 9*q + 2
Let b(q) = -19*q**3 + 9*q**2 + 5*q. Let h(r) = 95*r + 6183. Let l be h(-65). Let d(u) = -29*u**3 + 14*u**2 + 8*u. Give l*b(c) - 5*d(c).
-7*c**3 + 2*c**2
Let z(j) = -1455*j**3 + 679*j + 679. Let o(x) = -2*x**3 + x + 1. Calculate -1358*o(r) + 2*z(r).
-194*r**3
Let r(d) = d - 2*d - 3 - d. Let o(b) = -b**2 + 7*b - 7. Let n be o(3). Let m(w) = -w. Let g(i) = -8*i - 5. Let x(f) = n*m(f) - g(f). Determine 7*r(s) + 4*x(s).
-2*s - 1
Let t = 3884 - 3878. Let g(f) = 25*f**3 + 13*f**2 - 17*f. Let x(j) = -6*j**3 - 3*j**2 + 4*j. What is t*g(o) + 26*x(o)?
-6*o**3 + 2*o
Let s(t) = -10*t + 4. Let u(j) = 621*j - 3734. Let a be u(6). Let y(r) = -15*r + 6. Determine a*s(v) + 5*y(v).
5*v - 2
Let u(c) = 3733*c**3 - 26*c**2 + 11*c - 13. Let m(j) = 1868*j**3 - 12*j**2 + 5*j - 6. Calculate 11*m(f) - 5*u(f).
1883*f**3 - 2*f**2 - 1
Let u(x) = -7*x**2 + 7*x - 15. Let l be 8/(48/42) - 2. Let n(p) = -4*p**2 + 4*p - 7. Give l*n(m) - 3*u(m).
m**2 - m + 10
Let z(b) = b**3 + b - 1. Let l(p) = -68*p**3 - 144*p**2 - 28*p + 52. Let j(y) = y**3 + 12*y**2 - y - 1. Let t(m) = 12*j(m) + l(m). Give -2*t(u) - 80*z(u).
32*u**3
Let q(u) = -12*u - 8. Let j(p) = -15*p - 5. What is -2*j(m) + 3*q(m)?
-6*m - 14
Let i(r) be the second derivative of -17*r**3/6 - 5*r**2/2 + 1971*r. Let y(q) = -17*q - 4. Determine 3*i(v) - 4*y(v).
17*v + 1
Let c(w) = 15*w**2 - 5*w + 2076. Let m(n) = 3*n**2 - n + 415. Give 2*c(o) - 11*m(o).
-3*o**2 + o - 413
Let n(d) = 8*d**3 + 10*d**2 - 4*d - 2. Let j(f) = 17*f**3 + 21*f**2 - 10*f - 4. Calculate 2*j(z) - 5*n(z).
-6*z**3 - 8*z**2 + 2
Let o(b) = 5*b**3 - 2*b. Let s(d) be the second derivative of 0*d**2 + 0 + 0*d**4 - 1/20*d**5 + 19*d - 1/6*d**3. Calculate o(p) + 3*s(p).
2*p**3 - 5*p
Suppose l = 3*r - 19, 8 = 4*r - l - 16. Let c(d) = -d + d - d + 0. Let u(s) = 6*s + 1. Let k = -193640 - -193641. Determine k*u(b) + r*c(b).
b + 1
Let c(h) = 72*h - 8. Let i(g) = 161*g - 444*g + 149*g - 3 + 158*g. Determine -3*c(m) + 8*i(m).
-24*m
Let k = 6 + -4. Let i(b) = -5*b**2 + 2. Let z(x) = -84*x**2 + 35. Let s be (-1 - 0)/((-1)/(-35)). Give k*z(h) + s*i(h).
7*h**2
Let u(r) = -r + 1. Let x(q) = -q**2 - 32*q + 187. Let s be x(-37). Let a(l) = 6*l**2 + 2*l - 1. Give s*u(d) + a(d).
6*d**2 + 1
Let y(l) = 15*l**3 + 25*l**2 - 18*l + 16. Let k(q) = -7*q**3 - 12*q**2 + 8*q - 7. Give 5*k(v) + 2*y(v).
-5*v**3 - 10*v**2 + 4*v - 3
Let l(d) = 37*d**2 + 7*d - 1. Let y(r) = 6*r**2 + 2*r - 1. Determine l(v) - 5*y(v).
7*v**2 - 3*v + 4
Let v(s) = 2*s**2 + 2*s - 3. Let u(g) = 32*g - 4 + 29*g + 0*g**2 + 2*g**2 + 24*g - 84*g. Calculate -3*u(x) + 2*v(x).
-2*x**2 + x + 6
Let w(o) = 5*o**3 + 4*o**2 + 4*o + 3. Let b(a) = a**3 + a**2 + a + 1. What is 9*b(x) - 2*w(x)?
-x**3 + x*
|
{
"pile_set_name": "DM Mathematics"
}
|
y. Let h = -7741/84 - -369/4. Which is the second smallest value? (a) q (b) 0.5 (c) h
c
Let k = -0.005 + -0.395. Which is the fourth smallest value? (a) 0.4 (b) k (c) 0 (d) -3
a
Suppose 16 = 5*r + 1. Which is the third biggest value? (a) -2/19 (b) r (c) -4
c
Let w = 8 + -4. Let f = w + -4.4. Let g = 0.6 + -0.3. What is the biggest value in 2, g, f?
2
Suppose 5*f + 28 = -t + 3*t, 4*f + 5*t = 4. Let z = 18 - 13. What is the third biggest value in -5, f, z?
-5
Let a = -0.6 - -0.4. Let b = -3 + 6. Suppose 1 + 5 = b*j. What is the biggest value in 4, j, a?
4
Let s = 27.005 - 0.005. Let q = -26.7 + s. Let j = 17/12 + -83/84. What is the smallest value in 1, j, q?
q
Let n be (180/54)/((-8)/(-6)). Which is the third biggest value? (a) n (b) -4 (c) 0.4
b
Let n = 3.58 + -0.58. What is the second smallest value in 0.3, n, -3/7, 4?
0.3
Let m = -96.7 + 99. Which is the fourth biggest value? (a) m (b) -0.1 (c) 4 (d) -3
d
Let s = 0.4 + -4.4. Which is the second biggest value? (a) s (b) -0.2 (c) 2/5
b
Let u = 2.01 + -0.01. Let a = 251 - 256. What is the third biggest value in -0.1, a, u?
a
Let s be ((-1 - -4)*1)/(-1). Let g be 64/126 + 54/(-243). Which is the second biggest value? (a) g (b) -2/23 (c) s
b
Let p = 7 + -7.3. Let d = 0.3 - -1.7. What is the second biggest value in -2, p, d?
p
Let l be (-2)/5 + (-1)/((-50)/(-5)). Which is the third smallest value? (a) 2 (b) l (c) 0.5
a
Let m = 10.8 + -12. Let x = 3.8 - m. Let f = -0.15 - 0.05. What is the second smallest value in x, f, -1/7?
-1/7
Let j(c) = c**3 + 5*c**2 - 8*c - 6. Let k be j(-6). Let w = k - 11. Let o be 16/(-42) - 2/7. What is the third smallest value in w, 2, o?
2
Let s = 155/28 + -21/4. What is the third smallest value in s, 4, 0.7?
4
Let m = 0 + 0.04. Let s = -0.44 + m. Let w = -1 + -1. Which is the biggest value? (a) -0.2 (b) s (c) w
a
Let v = 0.4 + -4.4. Let q = 2.5 + 1.5. Which is the third biggest value? (a) 3 (b) q (c) v
c
Let s be 62/155 - 3/5. Suppose 0*c + 9 = 3*c. What is the second smallest value in -2/7, c, s?
s
Let n = 2 + -2. Suppose -v - v + 26 = 0. Suppose -5*g - v = 2. What is the second biggest value in n, -2/9, g?
-2/9
Let k = 2 + 5. Let u be -4*((-63)/(-12))/k. Which is the second biggest value? (a) -2/7 (b) u (c) -3/5
c
Let i = 22.5 - 23. What is the third biggest value in i, -1.2, 4/9?
-1.2
Let y = 2 + -2. Let w = 0.1 + -0.3. Let g = y + w. Which is the third smallest value? (a) 1 (b) g (c) 0
a
Let v = -961/9 + 107. Which is the second smallest value? (a) -5 (b) v (c) 2/15
c
Let r be (-2)/8 - 1514133/(-504). Let x = 6005/2 - r. Let t = x - -13/7. What is the biggest value in -3/5, 0, t?
t
Let l be 4 - (-3 - (3 - 8)). Suppose 4*d - c = -4*c - 112, 0 = l*c. Let i = d + 55/2. What is the biggest value in 1, i, -5?
1
Let s = 219/7 - 31. What is the third biggest value in s, 1/14, -1?
-1
Let v = -2 + 1.9. Let w = -9 + 9.1. Let z = w - 0.1. What is the third biggest value in v, -3/8, z?
-3/8
Let o be (-1)/(-5)*(4 + -5). Let h(n) = n + 9. Let k be h(-4). Let y(d) = d - 6. Let l be y(k). Which is the third smallest value? (a) o (b) -5 (c) l
a
Suppose -v - 4*v = -20. Suppose -4*d - v = -8. Which is the biggest value? (a) d (b) -2 (c) 1/6
a
Let q = -14.31 - -0.31. Let g = -13.79 - q. Let p = g + -0.01. Which is the second smallest value? (a) p (b) 2/11 (c) 1
a
Let z = 0.12 + -1.32. Let h = 1 + z. Which is the second biggest value? (a) h (b) -0.5 (c) -1
b
Let d = 1 - 2. Let g = -42 + 42. Let b = d - g. What is the third smallest value in b, 0, 0.3?
0.3
Let u = -0.6 + 0.3. Let j = -14 + 17. What is the second smallest value in u, j, 4/7?
4/7
Let s = 108 + -111. What is the third biggest value in s, -0.3, 7, 2?
-0.3
Let d be -2 + ((-21)/(-6) - 2). Let l = 99 + -1685/17. Which is the second smallest value? (a) 0 (b) d (c) l
c
Let n = 4 + -2.4. Let p = -4.6 + n. Which is the second smallest value? (a) 1 (b) p (c) 2/11
c
Let y = -2 - 0. Let n be 0/(3 + 0 + y). Which is the biggest value? (a) 1 (b) -0.2 (c) n
a
Let z be (8/(-50))/(14/35). Which is the second smallest value? (a) -0.5 (b) -1 (c) 8 (d) z
a
Let k = -0.36 + 0.06. Let x = -29 - -29.2. Which is the biggest value? (a) -0.2 (b) k (c) x
c
Let x be ((0 + -2)/4)/((-1)/(-2)). What is the biggest value in -4, -0.2, x, 2/7?
2/7
Let d = 43 - 42.6. Which is the third smallest value? (a) 3 (b) -7 (c) d
a
Let c = 0.2 + 0.3. Let y = -0.02 + -0.18. Let o = c + y. What is the biggest value in 2/7, -0.1, o?
o
Suppose -3*z = q - 8, -7*z + 3*q = -6*z + 14. What is the second biggest value in 2/19, 4, z?
z
Let r(i) = -i**2 - 6*i - 4. Let n be r(-6). Let k = -0.3 + -0.2. Let u = -47 + 47. Which is the second biggest value? (a) n (b) u (c) k
c
Let d(c) = 5 + c**2 + 7*c - 2*c**2 + 0 - 7. Let y be d(6). What is the second smallest value in -2/5, 2, y?
2
Let u = 5.5 - 7. Let h = -2 - u. Let q = -2121/11 - -193. What is the third biggest value in q, h, -2/9?
h
Let v = 3/41 + 73/123. Let q = -121/5 - -24. Which is the third smallest value? (a) v (b) q (c) 0.5
a
Let g = -14 + 19. What is the second biggest value in g, -0.1, -2/7, 0?
0
Let o = -31/51 - -19/51. Which is the second biggest value? (a) -1 (b) -4 (c) o
a
Let i = 328/435 + -18/29. Which is the biggest value? (a) i (b) -4/5 (c) 1/5
c
Let y = -0.1 - -5.6. Let n = -5 + y. Which is the biggest value? (a) -0.02 (b) 1 (c) n
b
Let n = -2 - -3. Let k(w) = -4*w - 2. Let p be k(0). Which is the second smallest value? (a) -2/7 (b) p (c) n
a
Let x = -1.8 + 0.2. Let o = -9.4 + x. Which is the second biggest value? (a) o (b) 3 (c) 0
c
Let p = 1 + -2. Let g = -0.9 - p. Let v = -12 + 11.7. What is the second smallest value in v, g, 1/4?
g
Let q = -0.27 + 10.27. Which is the third smallest value? (a) -1/7 (b) q (c) -3
b
Let k = 1.656 + -0.056. Which is the biggest value? (a) 0.1 (b) 1 (c) k
c
Let d = -0.2 - -0.3. Let j = 2.9599 + 0.0401. Let r = 0 + -1. Which is the second smallest value? (a) r (b) d (c) j
b
Let c = 8174/5 + -1623. Let a = c + -61/5. Let x = 0 + 0.2. What is the smallest value in x, a, 0.4?
a
Let j = -4 - -3.6. Let w = 97 - 481/5. Which is the second biggest value? (a) 2/13 (b) w (c) j
a
Let k = 4.1 + -4. Let i = k - 0.14. Let g = -0.26 + i. What is the second biggest value in 1, -0.5, g?
g
Let s = 0.03 - -3.97. Which is the third smallest value? (a) s (b) 2/5 (c) -3/4
a
Let t = -51.4 + 51. What is the smallest value in 5/4, 2, t, 0.5?
t
Let v be (-8)/52 + (-30)/(-702). Which is the smallest value? (a) 2/9 (b) v (c) 4
b
Suppose 0 = -l - 4*r + 14, 2*r = -2*l + 10 - 0. Let h = l - 2. Let y(x) = -x**3 - x**2 + 4. Let n be y(0). What is the third biggest value in n, h, -3?
-3
Let q = 68 - 68. Let n = 2.9 + -3. What is the third smallest value in n, q, 0.2?
0.2
Let j = -99/65 - -12/13. Which is the biggest value? (a) j (b) 8 (c) 1
b
Let r = 5.5 + -0.5. Let l = 0.6 - 2.6. Let i = 3 + l. Which is the third biggest value? (a) i (b) 0 (c) r
b
Let w(l) = l**2 + 3*l + 2. Let c be w(-1). What is the third biggest value in c, -0.1, 0.8, -5/4?
-0.1
Let o(w) = -w**2 - w + 2. Let p be o(-2). Let y(v) = v**2 + v - 5. Let g be y(p). Let i be (-3)/(-9) - g/3. Which is the biggest value? (a) i (b) 1/3 (c) 1
a
Let k be (-74)/(-259) + 2/(112/5). What is the biggest value in -1, k, 0.2?
k
Let b = 0.15 + -6.15. Let q = -4 - b. Suppose 2*s - 4*m - 6 = 0, 2*s + 3*s + m - 4 = 0. What is the second biggest value in s, 0.5, q?
s
Let x = 0.12 + -3.12. What is the smallest value in 4, x, -0.5?
x
Let m = -7.8 + 8.8. Let t = 4 - 8. What is the second biggest value in -1/4, t, m?
-1/4
Let n = -0.71 - 0.49. Let l = -2 - -1. Let x = n - l. What is the third smallest value in 2/13, x, -5?
2/13
Let i = 2 - 10. Let c = -0.1 - -0.6. What is the second smallest value in c, -0.1, i?
-0.1
Let g = 0.01 - 0.01. Let q = g - -4. What is the biggest value in 1, q, 2?
q
Let d = -8 + 47. Let n be d/(-72) + (-2)/(-3). Which is the second biggest value? (a) n (b) -3/8 (c) 2/5
a
Let k = 2 - 1.5. Let z = -4 + 0. Let h = 191 - 191.3. Which is the biggest value? (a) k (b) h (c) z
a
Let f = -99 + 493/5. Let v = 0 + -1.6. Let u = v + 2. Which is the third smallest value? (a) 0.3 (b) u (c) f
b
Let t = 0 + 0.4. Let m = -9
|
{
"pile_set_name": "DM Mathematics"
}
|
- z**2 + z**2).
-z**5
Expand (6*a**3 + 5*a**3 - 4*a**3)*(-1 + 1 + 1) + (a - a + 2*a)*(0 + 0 + a**2).
9*a**3
Expand -6 + 6 + r**5 - 2*r**5 + 0*r**5 + r**5 + (r**3 + 3*r**3 - 6*r**3)*(-2*r**2 + 5*r**2 - 5*r**2) + r**5 + 7*r**5 - 3*r**5.
9*r**5
Expand -r + r - 3*r**2 + (-5 + r + 5)*(-9*r + 5 - 5) - 2*r**2 + 0*r**2 + r**2.
-13*r**2
Expand (-3 - j + 3)*(-3 + 2 - 2)*(-8*j**2 + 8*j**2 + 3*j**3).
9*j**4
Expand (1 + 3 - 2)*(-37*p**2 + 37*p**2 - 4*p**4).
-8*p**4
Expand -2 - 7*h**2 + 2 + (0*h + h + h)*(2*h + 0 + 0) - 2*h**2 + 0 + 0.
-5*h**2
Expand (-2*x**4 - 2*x**2 + 3*x**2 + 4*x**4)*(1 + 0 + 2).
6*x**4 + 3*x**2
Expand (1 - 2 + 0)*(a**3 + a - a).
-a**3
Expand (4*s - 2*s - s)*(-3 - 3 + 0)*(9*s + 4*s - 10*s).
-18*s**2
Expand 2*p + p**3 - 2*p + (-7*p**2 + 3*p**2 + 8*p**2)*(-1 + 1 - p).
-3*p**3
Expand (2*x + 0*x - 4*x)*(-4*x + x + x) + (2*x - 2*x + x)*(3*x - 4*x - x) - x + x - x**2.
x**2
Expand 51*g**2 - 21*g**2 + 49*g**2 + (5*g + g - 5*g)*(2*g - 5*g + 4*g) + 0*g**2 - 4*g**2 + 5*g**2.
81*g**2
Expand -4 + g**5 + 3 + g**5 + (-2*g + 2*g - 2*g**2)*(3*g**3 + 0*g + 0*g) - g**5 + 2*g**5 + g**5.
-2*g**5 - 1
Expand (0 + 0 + 2*a)*(2 + 3 - 3).
4*a
Expand (-3 + 3 + 2)*(i + 3 - 3)*(0 - 1 + 3).
4*i
Expand (-4*r - r + 3*r)*(0*r + 2*r - 3*r) - r**2 + 6*r**2 + 2*r**2.
9*r**2
Expand (3*s**3 + 8*s**3 - 2*s**3)*(-s**2 + 4 - 4).
-9*s**5
Expand o**2 + 0*o**2 - 2*o**2 + 3*o**2 - o**2 - 4*o**2 + (o - o + o)*(-2*o + 2*o - o) - 2*o**2 - 3 + 3.
-6*o**2
Expand z**2 - 2 + 0 + 0*z**2 + (-4 + 3 + 2)*(-2*z + z**2 + 2*z).
2*z**2 - 2
Expand (-3*a + 5 + 4*a + 1)*(2*a**2 - 5*a**2 + 2*a**2).
-a**3 - 6*a**2
Expand (-2 + 6 + 1)*(0 - 3*s + 0).
-15*s
Expand (-3 + 4 + 1 + (-4 + 3 + 0)*(2 + 0 + 0) - 3 + 3 - 3 + 3 + 3 - 5)*(4 - 4 + 2*l**5).
-4*l**5
Expand (-6 + 6 + 14)*(2*d - 2 + 2)*(-d**2 + 0 + 0).
-28*d**3
Expand (26*x - 12*x - 12*x + (-3 - 3 + 4)*(-2 - x + 2))*(3*x**3 + 0*x**3 - 2*x**3).
4*x**4
Expand (2*v + 2*v**3 - 2*v)*(-22 + 71 + 66).
230*v**3
Expand (5 - 2 - 4)*(-v + 0*v - v) + (-1 + 0 + 2)*(3*v - 3*v + 2*v).
4*v
Expand -3*n + 2*n**3 + 3*n + (4*n**2 - 3*n**2 - 2*n**2)*(-2*n + 2*n - 2*n) + 7*n**3 + 5*n**3 + 9*n**3.
25*n**3
Expand 5*c**2 - c**2 - 3*c**2 + 3*c**2 + 0*c**2 - 4*c**2 + (-3 + 3 - c)*(c + 1 - 1) - c**2 + 2 - 2 + (c + 8*c - 4*c)*(-1 + 1 - c).
-7*c**2
Expand (1 + 1 - 12*u + 9*u)*(5*u**3 + 2*u - 2*u).
-15*u**4 + 10*u**3
Expand (-f + 3*f + 0*f)*(0*f**4 + 4*f**4 - 2*f**4) + (5*f - 4*f - 2*f)*(-6 + 6 + 2*f**4).
2*f**5
Expand ((-6*l**2 + 2*l**2 + 3*l**2)*(-2*l - 4 + 4) + 0*l**2 + 0*l**2 + 2*l**3)*(1 + 0 - 5) + 5*l**3 - 3*l**3 - l**3.
-15*l**3
Expand (-3*q + q - q)*(-5 - q + 5) - 2*q**2 - q**2 + 0*q**2 + (0*q - 4*q + 5*q)*(-1 - q + 1 + (1 - 2 + 2)*(q + q - 3*q) - 2*q + 2 - 2).
-4*q**2
Expand (4 + t - 4)*(31 - 15 + 15 + 14).
45*t
Expand (-3*z - 2*z + 4*z)*(2 + 11 + 2).
-15*z
Expand (-7 + 9 - 1)*(2*s**4 + 2*s**4 - 2*s**4 - 2*s**5).
-2*s**5 + 2*s**4
Expand (-p + 2*p**3 + p)*(-p - 2*p + p) + 2*p**4 - p**4 + p**4 + 0*p**4 + p**4 - 2*p**4 - 14*p + 21*p - 2*p**4 - 6*p.
-5*p**4 + p
Expand 12*a - 29 + 29 - 3*a - a + 5*a - a + 0 + 0 - a - a + a - 3*a + 0*a + a + (-2*a + a - a)*(-2 - 1 + 1) + 3*a - a + 0*a + a - 3*a + 3*a + 4*a - 4*a - a.
15*a
Expand (a + 0*a + 3*a)*(-a - 1 + 1) + (2*a + 2 - 2)*(-5*a + 4*a + 2*a) + (a + a - 3*a)*(0*a + 2*a - a).
-3*a**2
Expand ((8 + 2 - 2)*(2 + 2 - 2) + 1 + 0 - 3)*(-m - 6*m + 4*m).
-42*m
Expand -5*u + u**2 + u**3 + 5*u + (-3 - 1 + 2)*(-2*u**3 + 3*u**3 + u**3) - 4*u**3 + 2*u**3 + 0*u**3.
-5*u**3 + u**2
Expand (-2*s - s + 0*s)*(4 + 0*s + 2*s + 0*s).
-6*s**2 - 12*s
Expand 3 - n**2 - 3 + n**2 - n**2 + 2*n**2 + (-5 + 2 + 1)*(n**2 - n**2 - 3*n**2).
7*n**2
Expand (6 - 1 - 3)*(r - 2 + 2) + r + 4*r - 3*r + (-4 + 4 + r)*(-1 - 1 + 0) + r - 1 + 1.
3*r
Expand (4 - 4 + v - 1)*(-3*v**3 + 4*v**3 - 3*v**3) + 0*v**4 - 3*v**4 - 5*v**4.
-10*v**4 + 2*v**3
Expand 0*f**4 - f**4 + 3*f**4 + 5*f**4 - 6*f**4 - 2*f**4 + (-2*f - 2 + 2)*(-4*f**3 + f**3 + 4*f**3).
-3*f**4
Expand 3*n - n**3 - 2*n + 0*n + (-16*n - 3*n**2 + 16*n)*(-2*n + 0*n - n).
8*n**3 + n
Expand (0 + 2*o + 0)*(2*o + 2 - 2)*(5 - 1 + 3).
28*o**2
Expand (11 - 6 + 19)*(-8 - 3*n**4 + 8).
-72*n**4
Expand (6 + 1 + 6)*(-2*y + 4*y - 4*y).
-26*y
Expand (-1 + 1 - 2*q)*(q**2 + 0*q**2 - 2*q**2).
2*q**3
Expand ((3*i + 2 - 2)*(0 + 1 + 1) + i - 3*i + i)*(3*i**2 - 3*i**2 + 2*i**3).
10*i**4
Expand (-j**2 + 2*j**2 - 2*j**2)*(0 + 2 - 5)*(5*j**3 + j**3 - 3*j**3 + (-4 + 4 + 2*j**2)*(-j + 0 + 0) + 1 + j**3 - 1 - j + j**3 + j).
9*j**5
Expand ((x + 1 - 1)*(-2 - 2 + 3) - 2*x - x + x)*(-2 + 5 - 2)*(10 + 1 - 2).
-27*x
Expand (1 + p + 1 + 2*p)*(-p + 4*p - p).
6*p**2 + 4*p
Expand (-1 - k + 1)*(2*k - 5*k + 2*k) + k**2 + 557*k + 65 - 557*k.
2*k**2 + 65
Expand (5 + 0 - 4)*(-2 + 0 + 0)*(-3*y + 4*y + y).
-4*y
Expand 24 - 24 - 5*w**5 + (3*w**2 + 0*w**2 - 4*w**2)*(-4*w**3 + 2*w**3 + 4*w**3).
-7*w**5
Expand (-i**2 + 5*i**2 - 3*i**2)*(0*i - 2*i + 4*i) - 2*i**3 - 2*i**3 + 5*i**3 + 5*i**3 + 4*i**2 - 4*i**2.
8*i**3
Expand -2*f**2 - f**3 + 2*f**2 + 2*f**3 + 2*f**3 - 2*f**3 + (1 - 3 + 1)*(-2*f - 2*f**3 + 2*f).
3*f**3
Expand o**3 + 3*o**3 - 2*o**3 + o**3 + 4*o**3 - 3*o**3 + (-2*o**2 + 0*o**2 + o**2)*(-49 + 49 - 2*o).
6*o**3
Expand 2 - 6*c - 2 + (0 + 6 - 4)*(-3*c + 3*c + 2*c) + 2*c + 0*c - 3*c.
-3*c
Expand ((0*l + 4*l - 3*l)*(-4*l + 5*l - 3*l) - 5*l**2 + 2*l**2 + l**2)*(l - 2*l - 3*l).
16*l**3
Expand -3*l**4 - 2*l**3 + 2*l**3 - l**4 + 1 - 1 + (2*l + 0*l + 0*l)*(-l**3 - l + l) - 2*l**4 - 2 + 2 + (-1 - 2 + 2)*(-2*l**4 - 3*l**4 + 4*l**4).
-7*l**4
Expand 0*h**5 + 0*h**5 - h**5 + (0 + 6 + 2 + (-6 + 3 + 1)*(-5 + 2 + 1))*(-5*h**5 + 4*h**5 - h**5).
-25*h**5
Expand -z**2 - 4*z**2 + 2*z**2 + (50 + 5*z - 50)*(-5*z - 1 + 2*z + z).
-13*z**2 - 5*z
Expand (6 - 4 - 3)*(3*m**3 + m**3 - 6*m**3) + 4*m**3 - 4*m**3 - m**3.
m**3
Expand (9*l**2 + 9*l**2 - 6*l**2)*(0*l**2 - 4*l**2 - l**2).
-60*l**4
Expand (-6 + 6 - 7)*(4*i**2 + i**2 - 3*i**2)*(-1 + 2 - 4)*(0*i + i + i).
84*i**3
Expand (0 - 2 + 0)*(-3 + 3 + g)*(-3*g + 2*g - 3*g).
8*g**2
Expand (5 - 4 + 2)*(4 - 4 + 3*m)*(2*m**2 + 5 - 7 + 0 - m).
18*m**3 - 9*m**2 - 18*m
Expand (-5*t**3 + 3*t**3 + 3*t**3)*(2*t**2 + 2*t**2 - 2*t**2)*(-11 + 4 - 2).
-18*t**5
Expand (-3*v**4 - 11*v**4 + v**4)*(1 - 1 - 1).
13*v**4
Expand (-2*l + 0 + 0)*(l + 5*l - 4*l) + l**2 + 6*l**2 - 6*l**2 + (-3*l + 3*l + l)*(-4*l + l + l).
-5*l**2
Expand l**5 - 5*l**5 + 5*l**5 + (-4 + 0 + 2)*(0*l + 6*l - 3*l)*(-l**4 - 3*l**4 + 2*l**4).
13*l**5
Expand (-13*o - 15*o - 10*o)*(0 + 1 - 3)*(-3 + 2 + 3)*(4*o + 2*o**3 - 4*o).
304*o**4
Expand (-7*a + 4*a + 0*a)*(5*a - 5*a**4 - 5*a).
15*a**5
Expand (-4*n + 2*n - 7 + 3)*(0 - 1 - 2).
6*n + 12
Expand 3*w**2 - 3*w + 3*w + (w - 1 + 1)*(-2*w - 5 + 5) - 1 + 1 - 2*w**2.
-w**2
Expand 5*j + 3*j - 6*j + 2*j + j - 2*j + (5 - 1 - 2)*(-2*j + 4*j + 0*j) - 2 - 2*j + 2 - 10 + 6*j + 10 + (-4 + 5 - 2)*(0*j + 2*j - j) + 4 - 4 - 2*j.
8*j
Expand (2 - 2 + 3*s**2)*(4*s - 3*s + 0*s) + (-s**2 + 1 - 1)*(-2*s + 3*s - 3*s).
5*s**3
Expand (-d + 2*d - 4*d)*(4 + 3 - 1).
-18*d
Expand (-16*k + 112*k - 59*k)*(3*k + 2*k - 3*k).
74*k**2
Expand (0 + 7 - 2)*(-q - 2*q + 2*q).
-5*q
Expand -5*l**4 + l**4 + 4*l**5 - 5*l**5 + (-2 + 2 + 2*l)*(5 - l**4 - 5) + 5*l**4 - l**5 - 5*l**4.
-4*l**5 - 4*l**4
Expand 24*s - 27*s - 2*s**2 + 4*s**2 + (-5*s + 0*s + 4*s)*(-s - s + 0*s).
4*s**2 - 3*s
Expand (2 + 2 - 1)*(6*u - 8*u + u).
-3*u
Expand (-2 + 6 - 3)*(f**3 + 0*f**2 + 0*f**2 + (0*f - 2*f + 0*f)*(-f**2 + f**2 + 2*f**2) - 2*f**3 + 2*f**3 - 2*f**3).
-5*f**3
Expand (2*v - 2*v - 2*v**2)*(v + 2 - 2).
-2*v**3
Expand (-2*g**3 + g**2 - g**2)*(4 - 4 - 4)*(1 + 2*g**2 - 1).
16*g**5
Expand 24*b**2 - 24*b**2 + 6*b**4 + 21*b**4 + (b**3 - b**3 + b**3)*(-b + 2*b + 0*b).
28*b**4
Expand (m**2 + 0*m**2 + 2*m**2)*(3*m + 0*m - 7*m).
-12*m**3
Expand (-4*m**2 + 3*m**2 - 3*m**2)*(-3*m - m + 2*m) - 3*m**3 + m**3 + 0*m**3.
6*m**3
Expand -2 + 2 + 2*u**3 + (2*u - 2*u - u**2)*(-30*u - 51*u + 49*u) - 4 + 4 + u**3.
35*u**3
Expand (14 + 4 - 5 + 1 - 1 - 1 + (-4 + 5 + 0)*(0 + 2 - 3) + 0 - 1 + 2 - 2 + 1 + 0)*(c - 2*c + 2*c).
11*c
Expand 1 + h**2 - 1 + ((0*h + h - 3*h)*(4 - 2 - 1) - 3*h + 5*h - 3*h)*(0*h + 0*h + 2*h).
-5*h**2
Expand (-3*w**3 - w**3 + 0*w**3 + (-w + w + w)*(-w**2 - 2*w**2 + 2*w**2))*(0*w + 0*w - w)*(-3 - 6 + 4).
-25*w**4
Expand ((-3*b + 6*b - b)*(0*b**2 + 2*b**2 - b**2) - b**3 - b + b)*(-136 + 136 - 12*b**2).
-12*b**5
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest 10000.
100000
Let s = 0.24 - -31.76. Let c = s - 40.1. Let p = c - -8.1000083. What is p rounded to six decimal places?
0.000008
Let t(o) = 986*o**3 + 4*o**2 + 19*o + 35. Let h be t(5). What is h rounded to the nearest 10000?
120000
Let m = -4.272 - -3.89. What is m rounded to two decimal places?
-0.38
Let m = -37 - -36.773. Let z = 0.18 + m. What is z rounded to 2 dps?
-0.05
Let j = -25087.3623 + 25085. Let q = j + 0.0523. Round q to one decimal place.
-2.3
Let d = 0.0111 + -0.056. Let k = d + 0.044343. Round k to four dps.
-0.0006
Let m = 93.83 + -106.552. What is m rounded to 1 decimal place?
-12.7
Let n = -12082 + 12075.129. Round n to the nearest integer.
-7
Let n = 151 - 160.9. Let z = n + 9.900000255. What is z rounded to 7 decimal places?
0.0000003
Suppose 2*v - 1036878 = -0*v. Let f be (-5 - (-8)/4) + v. Suppose -2681564 = s + f. Round s to the nearest 1000000.
-3000000
Let h(a) = -7*a - 9. Let x be h(-7). Let v be ((-8)/10)/(8/x). Let z be (-552448)/65 - v/(-5). What is z rounded to the nearest one thousand?
-9000
Let m = -218 - -217.738. What is m rounded to 1 dp?
-0.3
Let g(m) = -5733345*m + 35. Let u be g(3). What is u rounded to the nearest 1000000?
-17000000
Let p(t) = 129201*t - 6. Let a be p(-5). Let z = 1606031 + a. Suppose -4*o = -5*x - z, -o + 239984 = -0*o + 4*x. Round o to the nearest ten thousand.
240000
Let c be (-2)/9 - (-266)/63. Let b be (0 + -8)/c + -2398. Round b to the nearest 100.
-2400
Let w = -7.7625 - -7.38. Round w to one decimal place.
-0.4
Let u = -77 + 77.033. Let q = 0.303 - u. Let l = q - -0.41. Round l to 1 decimal place.
0.7
Let q = 0.19897 - 0.199. What is q rounded to four decimal places?
0
Let q = 0.234 - 103.234. Let o = q - -102.951. Round o to two decimal places.
-0.05
Let a = -3 + -9. Let u = 11.999945 + a. Round u to 5 decimal places.
-0.00006
Let p = 9.7 + -9.8288. What is p rounded to 2 decimal places?
-0.13
Let x = -12.7 + -3.3. Let l = -15.959 - x. Let v = l - 0.04143. What is v rounded to four decimal places?
-0.0004
Let i = 17.2 + -19. Let d = 1.8002 + i. Round d to three decimal places.
0
Let z = 2 + -1.93. Let d = z - -1.13. Let x = 1.19998 - d. Round x to five decimal places.
-0.00002
Let t be (-4)/9 + ((-706020)/189 - -16). Round t to the nearest one thousand.
-4000
Suppose 5*q = 2*q + z - 36820163, 5*q = z - 61366935. Let c = 34373386 + q. What is c rounded to the nearest 1000000?
22000000
Let v = -875.2 + 875.24629. Round v to 2 dps.
0.05
Let v be 1 - ((-6)/(-15) + (-42896)/40). What is v rounded to the nearest one hundred?
1100
Let i = 181.9 + -163. What is i rounded to the nearest ten?
20
Suppose -5*u - 2*n - 103 = 0, 5*u + 3*n + 62 + 45 = 0. Let x = -19 - u. Suppose x = -4*r + 10*r - 142800000. What is r rounded to the nearest one million?
24000000
Let v = 0.985 + 0.753. Round v to 2 decimal places.
1.74
Let m = -353.09561352 - -199.0956151. Let a = -154 - m. Round a to seven decimal places.
-0.0000016
Let m = 1202.003446 + -1202. Round m to 4 decimal places.
0.0034
Let x = 214 - 214.418. Let o = x + 0.41. Round o to 3 dps.
-0.008
Let l be 127899/18*80/6. Round l to the nearest 10000.
90000
Let s = 17.52 + -17.518864. Round s to five dps.
0.00114
Let y = -4.07 + 6.46. Let l = 2.23 + y. Let a = 0.42 - l. Round a to 0 decimal places.
-4
Let y be (-26)/52*838/(-1). What is y rounded to the nearest one hundred?
400
Let x = 6808.1514 - 6807. Let j = -1.176367 + x. Let f = j + 0.025. Round f to five decimal places.
0.00003
Let s = -105 - -107.2. Let o = s + -2.20000123. What is o rounded to six decimal places?
-0.000001
Let s = -2.1100152 - -2.11. Round s to six decimal places.
-0.000015
Let z = -3426.99992886 + 3427. What is z rounded to 5 dps?
0.00007
Let m = 0.133 - 0.13. Let z = -0.787 - m. Let q = z - 0.01. Round q to 0 dps.
-1
Let b = -0.09 - 1.41. Let u = b + -6.5. Let w = 8.136 + u. Round w to two decimal places.
0.14
Let i be -9 + 2 + -11444*(-6)/(-8). Round i to the nearest 1000.
-9000
Suppose -2*y = 46*y + 58080000. Round y to the nearest one million.
-1000000
Let h = -1.92 + -137.68. What is h rounded to the nearest 10?
-140
Let s(l) = 6*l - 2 + 5348*l**2 - 138002*l**2 + 2 + 4. Let z be (1 + -22)*2/(-6). Let w be s(z). Round w to the nearest one million.
-7000000
Let d(w) = 6527*w**2 - 8*w - 12. Let a(o) = -3264*o**2 + 4*o + 6. Let p(z) = 5*a(z) + 2*d(z). Let f be p(-13). What is f rounded to the nearest 10000?
-550000
Let d = 14630523.39 + -14630597.39000295. Let v = -74 - d. Round v to seven decimal places.
0.000003
Let x = 139.5145 - 139.5. What is x rounded to three decimal places?
0.015
Let h(z) = 2 - 3 - 3 - 5*z + 4*z. Let m be h(2). Let g be m*(0 + (-890)/(-6)). What is g rounded to the nearest 100?
-900
Let i = -2.1 + 114.1. Let s = i + -98.84. Let b = -0.06 + s. Round b to the nearest integer.
13
Let m = 1034800.2 + -1034791.6325872. Let i = -0.0693228 + m. Let w = -8.5 + i. What is w rounded to four decimal places?
-0.0019
Let a = -0.9 - 13.1. Let b = -14.05 - a. Let v = b - -0.06. What is v rounded to 1 decimal place?
0
Let t(p) = 11801*p + 58. Let r be t(-8). Round r to the nearest ten thousand.
-90000
Let k = -1.74 - -2.2. Let w = 0.126 - k. Let f = 0.18 + w. Round f to two decimal places.
-0.15
Let a = 0.7 + -31.7. Let j = 31.0000031 + a. Round j to six decimal places.
0.000003
Let w(d) = d**3 - 9*d**2 - 21*d - 2. Let q be w(11). Suppose 0 = -q*c + 4*c + 390000. What is c rounded to the nearest 10000?
80000
Let w = 2.4 + 0.2. Let s = 2.60002 - w. Round s to four dps.
0
Let v = 38286.9700011 + -38287. Let i = v - -0.03. What is i rounded to 6 dps?
0.000001
Let c be (-5)/10 + (-9288006)/4 - 4. Let t be c/6 - 3 - (-5 - -1). Round t to the nearest ten thousand.
-390000
Let g = 18.6 - 11. Let v = g + -22.3. What is v rounded to 0 decimal places?
-15
Let l = 4426921 - 2234830. Suppose -4*n = -3*a - l - 1557889, 2500005 = -2*a - n. Round a to the nearest 100000.
-1300000
Let c = 0.27 + 2.53. Let h = c - 11.8. Let k = -8.999985 - h. Round k to 5 decimal places.
0.00002
Let u(a) = 4713325*a + 125. Let b be u(15). Round b to the nearest 1000000.
71000000
Let m = -28439.23 + 28674. Let b = m - 236. What is b rounded to 1 dp?
-1.2
Let f be (-44)/(2 + 0) - 2. Let i be (-2028652)/f - (-1)/(-6). Let r = i - 36527. What is r rounded to the nearest ten thousand?
50000
Let g = -24 + 7. Let c = g - -17.00017. What is c rounded to four dps?
0.0002
Let b = 1392.1726 + -1392. What is b rounded to 2 decimal places?
0.17
Let k = -2 - 8. Let p = 73.82724 + -63.825. Let z = k + p. Round z to four decimal places.
0.0022
Let j = -0.0386096 + 0.0391. What is j rounded to four dps?
0.0005
Suppose 6 = 4*d - d. Let b(c) = 185*c**3 - d*c**2 - 12*c + 6*c**2 + 10*c**3. Let v be b(8). Round v to the nearest 1000000.
0
Let m = 52.790532 - 57.7901. Let p = -5 - m. What is p rounded to 5 decimal places?
-0.00043
Let y = -34 + 34.15. Let n = 3.7 + y. What is n rounded to one decimal place?
3.9
Let w = -39.7676 + 39.8. Round w to 2 decimal places.
0.03
Let n = -174.0303 + 174. Let g = n - 0.009. What is g rounded to 2 dps?
-0.04
Let y = -68168730 + 202668730. What is y rounded to the nearest one million?
135000000
Suppose x = 3*x + 4*j - 1120, j + 5 = 0. Round x to the nearest ten.
570
Let o = -1021994.859255 + 1021989. Let a = -3.85917 - o. Let s = a + -2. Round s to 5 dps.
0.00009
Let t = -191.37 + 183.1. What is t rounded to 1 decimal place?
-8.3
Let o(i) = i + 10. Let k be o(-11). Let l be k - (-4)/((-8)/134). Round l to the nearest ten.
-70
Let i = 616 + -616.0003355. Round i to 5 decimal places.
-0.00034
Let x be (-12 - -10 - (3 + -1)) + 496004. What is x rounded to the nearest ten thousand?
500000
Suppose -5*q = -5*d + 3*d + 13, -4*q = -2*d + 12. Suppose -4*t + 6467 = g + 143, 5*g = -d*t + 31604. Round g to the nearest one thousand.
6000
Let z = 99.16 + -95. Round z to 0 dps.
4
Let i = -1.686002073 + 1.686. What is i rounded to 7 dps?
-0.0000021
Let q be (2 + 5)/((-4)/(-4)). Let z(k) = 11*k**2 + 10*k - 6. Let y be z(q). Suppose -4 = 4*d - 8, 0 = 2*j - 3*d + y. What is j rounded to the nearest 1000?
0
Let w = -316785 - -133311. Let k = w - -183553.9812. Let u = k - 80. What is u rounded to 3 decimal places?
-0.019
Let g = 1363.61727 - 0.01727. Round g to the nearest one hund
|
{
"pile_set_name": "DM Mathematics"
}
|
omposite number?
False
Let a(w) = -131*w - 5. Let t be a(-5). Suppose -3*k + t = 185. Is k prime?
False
Suppose 17*p - 10727 = -0*p. Is p a prime number?
True
Suppose 0 = 5*k + 20, 3*v - 4*k - 239 = -2*k. Is v a composite number?
True
Let h be -1 - -1 - -11*1. Let u(m) = m**2 + 3*m - 5. Let n(w) = 5*w**2 + 15*w - 25. Let y(c) = h*u(c) - 2*n(c). Is y(4) a composite number?
False
Suppose 0 = -2*b + 3*b - 194. Is b composite?
True
Let z(s) = -s**2 - 7*s + 8. Let a be z(-8). Suppose 2*q + a*q = 158. Is q a prime number?
True
Let l(w) = -w - 6. Let h be l(-6). Suppose t + 2*t - 69 = h. Is t composite?
False
Let d be (-1 - 1/2)*-2. Suppose 0 = 3*h - 4 + 1, 3*h - 141 = -d*j. Is j a composite number?
True
Is 6/4*2238/9 a composite number?
False
Let z = 40 - 21. Is z a prime number?
True
Suppose 4*h + 17 = 289. Is h/7 + 6/21 a prime number?
False
Suppose 4*w + 0*w - 12 = 0. Suppose w*d - 128 - 301 = 0. Is d a composite number?
True
Let w(b) be the first derivative of 25*b**2/2 + 6*b + 3. Let t be w(5). Suppose 2*j + j = 4*v - t, 2*v - 64 = 2*j. Is v prime?
False
Is 0/(-6) - -1*371 a composite number?
True
Let a = -7 - -12. Suppose a*d = f + 153, 36 = 2*d - 2*f - 22. Is d a prime number?
True
Let c(h) = -1 - 5*h + 148 + 13 + 6*h. Let w be c(0). Suppose -2*n + 6*n + 2*y = w, -n + 54 = 4*y. Is n a composite number?
True
Let v(s) = 8*s**2 - 5*s - 6. Let f be v(5). Let a = f + -82. Is a a prime number?
False
Suppose 0 = -k + 254 + 77. Is k a composite number?
False
Suppose -5*j = -4*f - 615, f - 399 - 241 = -5*j. Is j a prime number?
True
Suppose -5*p + 4*a = -4*p - 739, 3000 = 4*p - 5*a. Is p prime?
False
Suppose 0 = 5*c - 2*u - 20, 4*u + 16 + 2 = -c. Suppose h + c*z - 5 = 0, -2*h = 2*h - 3*z + 2. Let x(w) = 37*w**2. Is x(h) a composite number?
False
Let f(r) = -986*r**3 - 2*r**2 - 4*r - 1. Let j be f(3). Is j/(-55) + (-4)/(-10) prime?
False
Suppose 4*g + g - 185 = 0. Let i = 12 - 11. Is (g + 1)/(1 + i) composite?
False
Is (-131)/(42/15 + -3) composite?
True
Let u(g) = -g**2 + 2. Let w be u(3). Let d = 24 - w. Is d a prime number?
True
Is 2/3*(-345)/(-5) composite?
True
Is (673*4/(-16))/(3/(-60)) a prime number?
False
Let j(v) = -4*v - 3 + 5*v + 5. Let x(h) = h. Let d(l) = j(l) + 6*x(l). Is d(5) a composite number?
False
Let o(l) = -125*l - 4. Suppose -3*a - 15 = -0*a - 2*y, a = -y. Is o(a) composite?
True
Let f = 71 - 12. Suppose f = -0*n + n. Is n a composite number?
False
Let n be (-6)/21 + 1184/28. Suppose 0*h - 3*h + n = 0. Is h a composite number?
True
Suppose x = 34 - 1. Is x composite?
True
Let h(z) = -6 + 3 - 7 + 2*z. Let t be h(7). Let w(y) = -y**3 + 6*y**2 - 4*y + 3. Is w(t) a composite number?
False
Let o(g) = 0 - 3 + 1 + 1 + 5*g. Let m be o(1). Suppose 30 = -m*d + 6*d. Is d a composite number?
True
Suppose q - 5048 = -q. Is 2*(-5)/((-40)/q) prime?
True
Suppose 0 = z + d + d - 351, -4*d - 1428 = -4*z. Is z a prime number?
False
Let g be (-50)/15*(-6)/2. Let d(r) = r**2 + 6*r + 2. Let o be d(-4). Let x = o + g. Is x prime?
False
Suppose 3554 = -11*p + 13*p. Is p a composite number?
False
Is (1360/(-6))/(-2) - (-17)/(-51) composite?
False
Let u be 302/(-3) - (-5)/(-15). Let k = u + 163. Is k a prime number?
False
Let r = -4 - -8. Suppose 0 = -0*v - 3*v - t + r, -2 = -4*v - 3*t. Suppose v*b + 316 = 6*b. Is b a prime number?
True
Let p(v) be the first derivative of -11*v**2 + v - 1. Is p(-1) prime?
True
Let q = 37 - -72. Is q a prime number?
True
Suppose -g = -3*y - 3*g + 6493, -5*y - 2*g + 10815 = 0. Is y a prime number?
True
Suppose 0 = -3*q + 739 - 106. Is q prime?
True
Suppose 2*y = 5*y - 36. Suppose 5*i - y = -2. Suppose -3*l + 53 = i*k + 2*k, -k = l - 17. Is l a composite number?
True
Let k(q) = -q + 14. Let p be k(10). Suppose -4*g = -4*w - 40, -p*w - 25 = -2*g - w. Suppose -2*s - 1492 + 435 = -g*v, 3*s = -3. Is v composite?
False
Let d be 2/(-2) + (1 - -49). Suppose q + 50 = -4*p, 4*q + d = 2*p - 61. Let h = 7 - q. Is h a prime number?
True
Let h be ((-20)/(-8))/((-1)/2). Let k = h + 20. Is k a composite number?
True
Let b(l) = l**3 - l + 3. Let g be b(0). Is 41 + (g - 2) + -3 composite?
True
Let b(o) = -8*o**3 - 2*o**2 - 1. Is b(-2) a composite number?
True
Suppose 2*n - 261 = -n. Suppose -300 = -3*o - n. Is o a prime number?
True
Let o(r) = r + 2. Let p be o(15). Suppose -s - s - 412 = -5*m, 5*m - 406 = -4*s. Suppose g = -p + m. Is g composite?
True
Suppose 0 = -3*g + 66 + 6. Suppose -p = -g - 161. Is p prime?
False
Let t = -4 + 4. Suppose t = 2*f - 72 - 86. Is f a composite number?
False
Suppose 549 = 3*r + 69. Let v = -106 + 15. Let k = v + r. Is k prime?
False
Suppose 74*z - 11030 = 64*z. Is z a composite number?
False
Suppose -16132 - 29662 = -14*m. Is m prime?
True
Suppose 100 = y + 2*j - j, -2*y - 5*j = -191. Is y composite?
False
Let t(h) = -h**2 - 4*h + 1. Let k be t(-3). Suppose u = -k*u. Suppose 53 = -u*r + r. Is r prime?
True
Let y be ((-9)/4)/(1/(-8)). Let p = y - 10. Let x = p + 75. Is x a composite number?
False
Suppose -2*t = -0*t - 406. Is t composite?
True
Let j be 1*(5 - (2 - 0)). Suppose 0 = -0*k + k, 2*d - 802 = j*k. Is d a composite number?
False
Let n(x) be the first derivative of x**4/4 - x**3/3 + x**2/2 + 77*x - 1. Is n(0) prime?
False
Suppose -5*d = -4*t - t, -4*t = 3*d - 14. Let r(k) = k**3 - k**2 + k - 1. Let v(s) = 12*s**3 - 10*s**2 + 10*s - 9. Let i(b) = -6*r(b) + v(b). Is i(t) composite?
False
Let t be 2 + 3/((-6)/(-134)). Suppose -z = -328 + t. Is z prime?
False
Let n be 2 - 1/(-1) - -1. Let f(z) = -z**2 + 3*z + 5. Let h be f(n). Is 2/4*h*46 composite?
False
Suppose 2*f + 2*f + 5*t = 0, 5*f + t = 0. Let r = -4 + 7. Suppose 0 = -4*a - r*g - 4 + 39, -4*g - 12 = f. Is a a composite number?
False
Let m(u) = -121*u + 8. Is m(-5) prime?
True
Let m be -2 - (-8 + 3 - -3). Suppose m*p = 2*p - 76. Is p a prime number?
False
Let t(o) = 2*o**3 + 4*o**2 - 4*o + 3. Let x be t(3). Let w = 121 - x. Suppose 239 = 3*s - w. Is s a composite number?
True
Let f be (2 + 2)*222/4. Let o = f + -135. Suppose o = 5*x - 2*p, 3*x - 5*p - 37 = -0*x. Is x a prime number?
True
Suppose 2*c - 952 = -3*h, -c + 2*h = 3*c - 1920. Is c a prime number?
True
Is (-1584)/(-7) + -2 + (-60)/(-35) composite?
True
Let a = 221 - 44. Is a a prime number?
False
Suppose -14*a = -11*a - 4083. Is a a prime number?
True
Suppose 5*p = -x + p + 33, -2*p = 4*x - 62. Is x a composite number?
False
Let s(a) = 11*a**3 + 3*a**2 - 3*a + 1. Suppose -3 = -5*q - x + 11, -2*q - 3*x + 16 = 0. Is s(q) a prime number?
False
Suppose 9 = 2*b - 5. Suppose 5*m = -0*v - 4*v + 3, 3*m = 2*v - b. Is m - (-39 - -3)/3 a composite number?
False
Suppose 4*x = 421 - 113. Is x a prime number?
False
Let m(y) = -y - 3. Let c be m(-4). Is (-3 - 5/(-1))/c prime?
True
Suppose 0 = 5*i - 3*m - 10756, -3*i - 3*m + 6*m + 6450 = 0. Is i a prime number?
True
Let k = -213 + 936. Is k prime?
False
Let n(c) = c + 3. Let p be n(-7). Let m be (-86)/p - 3/6. Suppose -a + m = -28. Is a a composite number?
True
Let p = 1230 + -509. Is p composite?
True
Is ((5 - 3) + 1)*-1 - -524 composite?
False
Let t(p) = 2*p**3 - 12*p**2 + 25*p - 2. Is t(8) prime?
False
Let t(o) = o**3 - 11*o**2 + 9*o - 8. Let z be t(10). Let w = z + 113. Is w a composite number?
True
Suppose -a - 121 = -696. Suppose 8*l = 3*l + a. Is l a prime number?
False
Suppose g + 115 - 630 = 0. Is g composite?
True
Let x(z) = -z**2 - 12*z - 13. Is x(-9) a composite number?
True
Suppose 7*k = -3*d + 4*k + 51, 5*k + 25 = 0. Is d composite?
True
Let v(c) = 8*c**2 + 21*c**3 - 10*c**2 + c - 3 + c. Is v(2) prime?
False
Let w(c) = -36*c - 4. Let p be w(-3). Let d(j) = 3*j - 5*j + p + j - 9. Is d(0) a composite number?
True
Suppose -4*w + 244 = 4*y, -263 = -3*y + 4*w - 52. Is y composite?
True
Suppose s - 3*m = 13, s + 3*m - m + 12 = 0. Let b be (-18)/(-4) - (-3)/s. Is (-6)/(-9)*b - -33 composite?
True
Let m(u) = u**3 + 9*u**2 - 2*u - 2. Let o be m(-9). Let r = 111 + o. Is r composite?
False
Suppose 3*w = 5*l + 47, -3*w + 6*w - 67 = -5*l. Is w composite?
False
Let s(a) = 27*a**3 + 5*a**2 - 5. Is s(3) a prime number?
True
Suppose 7*r - 10 = 2*r. Let a = r + 67. Suppose 0 = 5*u - a + 19. Is u prime?
False
Suppose k - 629 = -3*i - 0*k, 3*k = -i + 215. Is i a prime number?
False
Suppose 0 = 2*c - 3*k - 740, 4*k - 1825 = -5*c - k. Is c a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
1 for s.
-2
Let r(a) = -a**2 + 19*a - 44. Let t be r(16). Solve 2 = -t*n + 6 for n.
1
Suppose 32*w = 35*w - 132. Suppose -4*b + w = 4*o + 16, -5*b = -2*o - 56. Solve -6 = -4*f + b for f.
4
Suppose -y = -5*y + 44. Solve 8*k - 3 = -y for k.
-1
Let s(f) = -19*f**2 - 43*f + 3. Let j be s(-2). Solve -16*z = -j*z + 3 for z.
-1
Let c(x) = x + 1. Let b be c(0). Suppose -4*n - 5 = -b. Let u be (-3 + 4)*(n + 2). Solve 3 - u = s for s.
2
Suppose 0 = -2*g + 2*d - 7 + 51, -4*g - 2*d + 64 = 0. Let o = g + -18. Let y be 0/(-3 - (-1)/1). Solve y = -o*t + 3*t for t.
0
Suppose 0 = 2*p - 6, 5*t - 72 = 2*p + 227. Suppose 4*d - t = -41. Solve -d*c = -0*c + 10 for c.
-2
Let l be 5/(50/(-80)) - -8. Solve -5*j + l = -10 for j.
2
Let k be 16/(-4) + 4/(2 - 1). Solve 12*b + 93 - 33 = k for b.
-5
Let w(c) = -c + 6. Let q be w(6). Suppose 3*p + q = 6. Suppose 3*u + 0*u = o, o - u - 2 = 0. Solve y + o = p*y for y.
3
Let n = 28 - 21. Let l(q) = -n - q + 0*q + 2*q + 1. Let i be l(8). Solve -5*h + i + 3 = 0 for h.
1
Suppose -5*i = -3*i - 5*m + 33, -3*i = -5*m + 37. Let t be 10/4 + i/(-8). Solve t*h - 12 = -h for h.
3
Suppose 23 = 12*q - 13. Let n(h) = -h**2 + 16. Let m be n(0). Solve -l - q*l = -m for l.
4
Let c be 0 + (-3)/1 + 215. Suppose 0 = 2*x + 3*t - 81, -4*t - c = -5*x - 2*t. Suppose -a = 3*f - 21, 4*f - x = -3*a + 1. Solve 4*k = -a + 21 for k.
3
Let w = 23 + -18. Let n(a) = -21*a + 174. Let d be n(8). Solve d*r = w*r - 1 for r.
-1
Suppose 3*n - 14 = -r, -4*r + r = 5*n - 54. Let o = -14 + r. Let z be 6*(-1 + o/6). Solve 2*g = -z*g - 10 for g.
-2
Let z = -191 - -203. Solve -3*a = a + z for a.
-3
Let h = 55 + -33. Suppose -2*x - 3*j + h = j, x - 6 = -j. Solve 5*v + 6 = x for v.
-1
Let k(q) = -q**2 - 8*q - 9. Let w be k(-6). Suppose -3*x - 217 = -4*i, 6*i - 4*x - 106 = 4*i. Let n = i + -52. Solve 3*p + w = -n for p.
-2
Let j(w) = -203*w - 603. Let d be j(-3). Solve d*v = 3*v - 9 for v.
-3
Let g be (-3)/(1/4*2). Let u be 3/(-15) + (g/(-15))/2. Solve i - 4*i - 12 = u for i.
-4
Suppose -t + 0*h = -4*h - 13, 2*h = -4. Let f be (2 + -1)/(t/15). Suppose 3 + f = 2*j. Solve 0 = -a + j*a for a.
0
Let j = -106 + 54. Let k be (-82)/26 + 3 + (-476)/j. Let b(p) = p. Let o be b(3). Solve -k = o*x + 6 for x.
-5
Let a be 89 + (0 - -1)/((-13)/(-39)). Suppose 2*w + 5*q - a = 0, q + 2*q = -3*w + 120. Suppose -90 = -5*f + 2*s, 5 + 26 = f - 3*s. Solve 5*m - f = -w for m.
-4
Let c(f) = f**2 - 7*f + 3. Let n be c(7). Let o be 5/((-1 - 1) + n). Solve 2 + 3 = o*g for g.
1
Let l(y) = 8*y - 13. Let s be l(4). Suppose -2*i - 2*q + 8 = 0, 2*i - 4*q = i + s. Let m = i - 7. Solve m = o + o + 2 for o.
-1
Suppose -5*k = 2*k - 49. Solve 0 = k*m - 4*m - 12 for m.
4
Let i = -1 - -16. Let p = -640 - -642. Solve -p*g = g - i for g.
5
Let p(x) = 6*x + 7*x + x - 15*x + 2. Let a be p(-6). Solve -w = w + a for w.
-4
Suppose 0 = 19*s + 10*s - 232. Solve 0 = g - 9*g - s for g.
-1
Suppose 0 = 4*k - 15 + 3. Suppose f - 2 = 5*y + 7, -k*y = 4*f - 13. Solve o = -o - f for o.
-2
Let p be (-12)/5*(48/(-9) + 2). Suppose -p*n + 20*n - 36 = 0. Solve 2*u = 3*u + n for u.
-3
Suppose -y + j = -20, -50 = -3*y - 3*j + 40. Suppose y = 5*k - 40. Let o = k + -9. Solve 0*m + 16 = o*m for m.
4
Suppose -15 + 19 = r, -v = -2*r + 5. Solve -3*p + v = -3 for p.
2
Let g(d) be the third derivative of -d**5/60 - 7*d**4/24 - 7*d**3/6 - 15*d**2. Let f be g(-3). Solve 17 + 3 = -f*r for r.
-4
Suppose 0*q = 5*q - 260. Suppose -5*d + 2*j = 110, -4*d - 4*j = -7*d - q. Let g = 24 + d. Solve -15 = -g*m - 5*m for m.
3
Let n = -28 - -49. Let i = n + -18. Let r be (-2)/(i/6*-1). Solve 7*u - r*u + 12 = 0 for u.
-4
Let u = -759 + 762. Solve u = -0*c + c for c.
3
Let p be (-2)/(-5)*(-17)/(17/(-70)). Let m = p + -26. Solve -2*c + 6 = -m for c.
4
Let l = -7 - -7. Suppose -u - u = l. Let d(z) = -z**3 - z**2 - 2*z. Let n be d(-2). Solve u = 6*b - 4*b - n for b.
4
Suppose 3*q + c = -2*c + 6, -2*c + 1 = q. Suppose 11 = 5*l + q*t, -l - 3*t - 5 = -0*l. Solve 4*h + 0*h + l = 0 for h.
-1
Let b = 28 - 3. Let w be 1 + (-8)/(-4)*1. Suppose -h = 5, -w*h - b = -3*s + 2*h. Solve s*k = -k - 4 for k.
-4
Let h be 114/42 + 3/(42/4). Suppose h*p = -3*w + 2 + 16, 4*w = -4. Solve 2 - p = -5*b for b.
1
Suppose -52*d + 48*d + 32 = 0. Suppose 2*a = -4, 5*c - 3*a - 8 = d. Let k be (-8)/(-10)*-1*-5. Solve c*b + 2 = -k for b.
-3
Suppose -2*m + 5*y + 30 = 3*m, 5*m = -4*y + 39. Suppose -n + 2*x + m = 0, -6*n + 4*n + 3*x + 12 = 0. Solve n + 0 = -g for g.
-3
Let d(p) = p - 24. Suppose 2*n = 4*i - 54, i - 4 - 8 = -n. Let t be d(i). Let m(o) = o**2 + 9*o - 1. Let z be m(t). Solve -4*v - 5 = -z for v.
4
Let y(j) = -5 + 7*j + 4*j - j**2 - 5*j. Let a be 0/(2/2) - -4. Let v be y(a). Solve -v*t = -0*t for t.
0
Let z(x) = x**3 - 9*x**2 + 14*x + 5. Let t(q) = -4*q + 19. Let f be t(3). Let o be z(f). Let p = 3 + 1. Solve o*h = p + 1 for h.
1
Suppose 5*s - 46 + 2 = n, -2*s + 4*n = -32. Solve -3*k + s + 7 = 0 for k.
5
Suppose -2*x - 4*x + 258 = 0. Let c = 48 - x. Solve 0 = -c*j + 4*j + 1 for j.
1
Let x = 136 - 136. Solve -z = -x*z - 2 for z.
2
Suppose -2*w + 6*w + 4*y - 44 = 0, 2*w - 14 = 2*y. Suppose -17 + 35 = w*t. Solve 3*l = -t*l for l.
0
Suppose 0*l + 2*l = 0. Suppose 4*j + 31 = -109. Let p = j + 41. Solve o + o - p = l for o.
3
Let m = 141 + -134. Let x(u) = 4*u**2 - 28*u + 1. Let l be x(m). Suppose -5*g = -2*v - 31, 2*v - 6 = -v. Solve -4*k = l + g for k.
-2
Let z(d) = -4*d - 5. Let t be (-6)/(-9) + 8/6. Suppose -10 + 0 = t*k. Let j be z(k). Solve 5*x + 0 + j = 0 for x.
-3
Let s(r) = -r**2 - 6*r + 4. Let l be s(-7). Let i be 0 - (l/(-3) + -1). Suppose 0*g + g = i. Solve g = 2*j + 5 - 1 for j.
-2
Let r = 23 - 19. Suppose r*h - 3*n = -91, -h + 4*h - 3*n = -69. Let g = -22 - h. Solve g = 3*i + i for i.
0
Suppose 4*x - 48 = -2*o, 2*x = -5*o + 10 + 86. Solve 7*f - o*f - 33 = 0 for f.
-3
Suppose -110*a + 2*f + 20 = -106*a, -3*a + 22 = -5*f. Let d = 1 - -4. Solve -j - a*j - d = 0 for j.
-1
Let y(m) = m**3 + 4*m**2 - 8*m - 5. Let i be y(-6). Let b = -26 - i. Let u be 1/(b + 25/(-10)). Solve 1 = v - u for v.
3
Let n be (2/(-3))/(13/((-390)/4)). Solve a + 6 = n for a.
-1
Suppose -607*f + 266 = -593*f. Solve -3*m + 16 = f for m.
-1
Suppose -15 + 15 = -43*s. Solve -5*o - 27 + 2 = s for o.
-5
Let j(m) = 9*m + 10. Let u(f) = 19*f + 19. Let n(v) = -5*j(v) + 2*u(v). Let k be n(-3). Solve 4*c + k + 3 = 0 for c.
-3
Suppose 0 = 2*k + 2*g + 4, -k = 4*g + 2 + 6. Solve k = -5*r + 7*r - 2 for r.
1
Let b(v) = -v**3 - 5*v**2 - 3*v - 9. Let n be b(-7). Let u be (-12)/(-42) - n/(-7). Let y = u + -16. Solve -15 = -3*p - y*p for p.
5
Let j be 9/4*16/6. Suppose -y + 49 = -3*d, d - 4*y = -12 - 19. Let r be d/(15/j + -4). Solve -4*x - r = -6*x for x.
5
Let m(r) be the second derivative of -r**4/12 + r**3/2 + r**2 + 20*r. Let c be m(3). Solve 3*v - 10 = c for v.
4
Suppose -w + 2*x = 2*w - 14, w + x + 2 = 0. Suppose g = w*g + c, -4*g + 2*c + 30 = 0. Suppose g*a + 5 = k, -4*a + 5 = -2*a + k. Solve a = -b + 4*b for b.
0
Let s be (-2)/(-7) + (-26)/(-7). Suppose -5*t + 36 + s = 0. Solve 0*c + 2*c = t for c.
4
Let u(a) = 97*a**2 - a. Let n be u(-1). Let c = n - 92. Solve -2*o = o - c for o.
2
Let y = 65 + -61. Suppose y = 215*o - 213*o. Let w be (-2)/(-7) - 4/14. Solve 8 = -o*u - w for u.
-4
Let o be (-8)/(-20) - 28/(-5). Let y(a) = a**3 - 7*a**2 + 5*a + 7. Let x be y(o). Solve x + 7 = -4*g for g.
-2
Suppose 3*r = -5*z - 35, 3*z = 2*r + 2 - 4. Let k = z + -3. Let f = k + 15. Solve -f = w + w for w.
-4
Let h be 6 - (2 + 0 - 0). Suppose 5*p - 69 = -2*n, -h*p - 4*n + 33 = -15. Suppose p + 1 = 4*z - l, 0 = -4*z - 3*l. Solve 0 = -0*g - z*g + 15 for g.
5
Suppose -8*v + 3*i = -4*v - 31, 2*v - 17 = i. Let r(k) = -k**2 + 9*k + 10. Let j be r(v). Suppose y + j - 2 = 0. Solve 6*t = y*t for t.
0
Let f be (-4)/(-2) + (-360)/(-4) + 2. Let l = 97 - f. Solve -2*i = l*i + 15 for i.
-3
Let u(c) = -c**3 + 13*c**2 - 11*c + 4. Let z be u(12). Let x(f) = -13*f**2 + 1. Let t be x(1). Let v = t + z. Solve 5*h + v = -16 for h.
-4
Suppose -4*x - 11 = -5*t, -17*t + 13*t + 4*x + 8 = 0. Solve t*m - 73 = -82 for m.
-3
Let u(x) = x**2 - 10*x + 37. Let l be u(8). Suppose 5*w = -2*w + l. Solve -w*a + 4 = a for a.
1
Suppose 6*h + 24 = 9*h. Suppose o + 1 = -4*b - 3, 8 = -4*b. Suppose o = 3*c - h. Solve 6 = -2*j - c for j.
-5
Let z = 307 + -282. Solve -3*d - 2*d
|
{
"pile_set_name": "DM Mathematics"
}
|
greatest common factor of 20 and r?
4
Let d(a) = -a**2 + 2*a + 207. Let l be d(-13). Calculate the highest common divisor of 544 and l.
4
Let g(y) = 5*y**2 - 2*y - 6. Let h be g(6). Let a = h - 114. Let j = a - 27. Calculate the greatest common divisor of 14 and j.
7
Suppose 3 = -3*p, -3*k + 13*p = 18*p - 22. What is the greatest common factor of 2853 and k?
9
Let a(t) = 27*t - 370. Let o be a(14). Suppose 11*h = o*h - 4*f + 1, 1 = -3*h - 5*f. Let r be 1 - 1 - (-8 - 1). Calculate the highest common factor of r and h.
3
Let b be (-6)/(-21) + (-132)/(-77). Suppose -s + 0*s - 67 = -y, s = -b*y + 128. What is the highest common factor of y and 78?
13
Let p(s) = -s**2 - 19*s + 52. Let a be p(-10). Suppose 144*x - 48 = a*x. Calculate the highest common divisor of x and 8.
8
Let w(o) = o**2 - 11*o + 27. Let u be w(-10). Suppose 0 = -u*i + 233*i + 308. What is the highest common divisor of 42 and i?
7
Suppose -3*m + 210 = -5*g, 3*g + 140 = 2*m + g. Let j be 2/(-3)*75/2. Let s = j - -35. Calculate the greatest common factor of s and m.
10
Let j be ((-3)/2)/(33/(-24) - -1). Suppose -5*f = -4*f - j*l - 11, 0 = 4*f - 5*l - 55. Calculate the highest common divisor of 285 and f.
15
Let p(o) = -13*o + 36. Let a be 3 - (2 - -3) - 10. Let b be p(a). Suppose -2*l = 5*u - 6*l - 136, l = -3*u + 68. What is the highest common divisor of u and b?
24
Let k = 124 + 11. Let d = -5950 + 6058. Calculate the greatest common factor of k and d.
27
Let b(a) = 3*a - 3. Let q be b(5). Let d(i) = 67*i + 77. Let x be d(-1). Calculate the greatest common factor of x and q.
2
Let a be 3/((-26)/91 - (-50)/28). Let q be (-6 - 23/(-5))/(a/(-30)). What is the greatest common factor of 14 and q?
7
Let j = -52 - -62. Let a be (1 - j/8)/((-3)/36). Suppose -5*c + 20 = 0, k - 4*c - 20 = -a*k. What is the greatest common divisor of 72 and k?
9
Suppose -20*f - 68*f + 2552 = 0. Let l be 0 + 0 + 0 - -377. What is the highest common divisor of l and f?
29
Let y(o) = 5*o**3 + 977*o**2 + 393*o + 635. Let l be y(-195). Let n be (-4)/18 + 137/9. Calculate the highest common divisor of l and n.
5
Suppose -3*s + 860 = 5*c + 101, 0 = -s + c + 285. Suppose -5*k + k = -4*u - 52, -2*k + 26 = -5*u. Calculate the greatest common factor of s and k.
13
Suppose -8*d + 3*d = -20. Let k be (39963/(-110))/(-7) + (-3)/(-30). What is the highest common factor of k and d?
4
Let x = 95 + -83. Suppose -x*b + b = -693. Suppose -5*u + 54 = u. Calculate the highest common factor of b and u.
9
Let a be (-28)/(-2) - (3 - 2). Let j = -297051 + 297090. Calculate the highest common divisor of a and j.
13
Suppose -5*i = -45 + 65, -12 = 2*z - 4*i. Let a(f) = -28*f - 374. Let o be a(z). Calculate the highest common factor of 78 and o.
6
Let m(b) = 53*b - 35. Let i(h) = -53*h + 37. Let s(w) = 5*i(w) + 4*m(w). Let f be s(7). Let r = -226 - f. What is the highest common divisor of 25 and r?
25
Suppose -5*x - 11 = 2*p - 51, -2*x + 4*p - 8 = 0. Suppose x*i - 4*i - 24 = 0. Calculate the greatest common factor of i and 36.
12
Let i(c) = -2*c**2 - 37*c + 1. Let m(f) = -f**3 + 6*f**2 - 4*f - 22. Let a be m(5). Let q be i(a). What is the highest common factor of 208 and q?
52
Suppose 0 = -217*f + 4428 - 6728 + 89100. What is the greatest common divisor of 75 and f?
25
Let h be (4/(-10))/(3/(-105)). Let z(v) = 154*v**2 + 3*v - 3. Let m be z(1). Suppose 16*w - m = 5*w. Calculate the greatest common divisor of w and h.
14
Let g(q) = -q**3 - 117*q**2 - 11*q - 153. Let y be g(-117). What is the greatest common divisor of 210 and y?
42
Let u be 11193/19 - 80/760. Suppose 4*k + 2*n = 2356, -5*k = -4*k + n - u. What is the highest common divisor of k and 62?
31
Let p be 760/(-57)*((-6)/(-2))/(-6 + 4). What is the highest common factor of p and 916?
4
Let r be (24 - 2388/(-10))*20. Calculate the greatest common factor of r and 192.
24
Let b = 15 + -7. Suppose 5*i = 2*m - 20, 0*m + 8 = i + 2*m. Let u be i - (3 + -5) - 20*-1. Calculate the greatest common divisor of u and b.
4
Suppose 4*h = -2*q + 26, 0 = 2*q + q + 3*h - 24. Suppose 284*g - 281*g = 99. What is the highest common factor of q and g?
3
Let h be (-95)/(-15) - 235/(-141). Suppose 1134 = s + 2*s. Suppose 134 = 4*m - s. What is the greatest common divisor of h and m?
8
Suppose 49*s = 12*s + 1749 - 491. Suppose 1878 = 5*d + x + x, x - 752 = -2*d. Calculate the greatest common factor of d and s.
34
Suppose -17*h + 3400 = 1360. What is the highest common factor of h and 768?
24
Let y = -4501 + 4531. What is the highest common divisor of 1810 and y?
10
Suppose -2*y + 46 = 5*z, 0*z - 5*z + 59 = 3*y. Suppose 2392 = 13*r + y*r. What is the greatest common factor of r and 161?
23
Suppose 78*o - 524 - 1294 = 132. Calculate the highest common divisor of 1075 and o.
25
Let s(p) = 7*p**2 - 4*p - 11 + 3*p - 3*p**3 + 17. Let u be s(3). Let h = 13 - u. What is the greatest common factor of h and 308?
28
Suppose -5*o - 1529 = -5*p + 1311, 3*p - 5*o - 1710 = 0. Suppose n - 132 = -3*d, 4*n - 4*d = -n + p. What is the greatest common factor of n and 72?
9
Let l be (-1)/(-3) - (-2272)/24. Let j = -19 + 38. Let g = 0 + j. Calculate the greatest common divisor of l and g.
19
Suppose -4 = -2*x + 5*d, 5*x - 6*d - 40 = -d. Let j be 2 - 16/x - (-58)/3. Suppose 21*k - j*k - 15 = 0. What is the greatest common divisor of k and 60?
15
Let n = 934 + -207. Let m = n + -633. Calculate the highest common factor of 564 and m.
94
Suppose -101*f + 51357 = 2*f + 56*f. Calculate the greatest common divisor of f and 3211.
19
Suppose -39*c = -41287 - 17213. Calculate the highest common divisor of c and 36.
12
Let t(s) = -s**2 + 74*s - 458. Let f be t(67). Calculate the greatest common factor of 110 and f.
11
Let q(d) = -6*d + 3. Let h be q(-4). Let y be 12/(-15) - (-11590)/50. Let t = y - 222. Calculate the greatest common factor of h and t.
9
Let f be (153/(-36))/((-25)/(-12) + -2). Let x = f - -193. Suppose 141*n = x*n - 30. Calculate the highest common factor of n and 18.
6
Let y = 19 - -1. Suppose 8 = 5*w + 5*a - 57, y = 4*a. Let p = w - -3. What is the greatest common divisor of p and 33?
11
Let b(q) = -1782*q - 6078. Let o be b(-4). Calculate the highest common divisor of 336 and o.
42
Let n be -3*12/9*(-47)/2. Let h(l) = 52*l + 7. Let k be h(1). Let m = 294 - k. What is the highest common factor of m and n?
47
Suppose -50*m + 10*m + 36000 = 0. What is the highest common divisor of m and 972?
36
Suppose 730*w = 759*w - 19311 - 30859. What is the highest common divisor of w and 40?
10
Let x be (-2 - 6 - -6)/(2/(-31)). Suppose 0 = x*a - 28*a. Suppose -2*r - 239 + 1013 = a. Calculate the highest common divisor of r and 43.
43
Let l = -1038 - -1106. Calculate the greatest common divisor of l and 1037.
17
Let u(g) = 66*g - 4. Let m be u(1). Suppose -m = -4*w + 2*i, 4*w + 3*i - 4*i = 63. What is the greatest common factor of w and 1?
1
Suppose 4*l = 5*p + 811, 4*p + 4 = 8. Let v = -167 + l. What is the greatest common divisor of 37 and v?
37
Let s(q) = q**2 - 98*q - 1166. Let z be s(-11). What is the highest common divisor of 341 and z?
11
Let b = 6012 - 2415. Calculate the highest common divisor of b and 545.
109
Suppose 5*b - 3*d + 158 = 0, 4*d - 3 = 2*b + 49. Let y = b - -47. Let v(j) = 3*j**2 - 2*j - 3. Let g be v(-6). What is the greatest common divisor of g and y?
13
Let m(n) = -2*n**3 + 5*n**2 + 3*n + 36. Let x be m(-5). Suppose -3*u + 240 = -x. What is the greatest common factor of u and 159?
53
Suppose -l - 4*n + 21 = 0, l + 5*n - 6 = 2*l. Let c(y) = y**3 + 31*y**2 - 36*y + 115. Let q be c(-32). Calculate the greatest common divisor of l and q.
9
Let y(z) = -z + 14. Let n be y(32). Let j(t) = t**3 + 19*t**2 + 17*t - 15. Let w be j(n). What is the highest common divisor of w and 2?
1
Let t(b) = b**3 + 20*b**2 - 21*b + 18. Let z = 55 + -51. Suppose s = -z*s - 5, g = 5*s - 16. Let p be t(g). Calculate the greatest common divisor of 54 and p.
18
Let v(o) = o**2 - 359*o - 4297. Let k be v(-12). Calculate the highest common factor of 325 and k.
5
Let j(n) = -n**2 - 11*n - 10. Let t be j(-10). Suppose 2*c + 529 = -4*g + 1681, t = -g + c + 291. Calculate the highest common factor of g and 17.
17
Let h(i) = 5*i**2 + 13*i + 173. Let u be h(16). What is the greatest common divisor of 1208 and u?
151
Let y(w) = -w**2 + 7*w
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{
"pile_set_name": "DM Mathematics"
}
|
5 - 16*d*f**2 + 2*d*f + d + 13779616*f + 5 wrt f.
432621800*d*f**3 - 32*d
Find the third derivative of 2*c**3*d + 76031649*c**3 + 1679*c**2*d + c*d + c - 120*d wrt c.
12*d + 456189894
What is the second derivative of -131702*o**3 + 68*o**2 - 2154104*o - 1?
-790212*o + 136
What is the third derivative of -2549001*f*l**4 + 2*f*l**2 - 63578*f*l - 2*f + 2*l**5 - 5*l**2 + 3 wrt l?
-61176024*f*l + 120*l**2
Differentiate -3124095*l**2*x - 3*l**2 + 4*l*x**2 + 98932141*x**2 wrt l.
-6248190*l*x - 6*l + 4*x**2
What is the second derivative of -17388698*s**2 + 2*s + 664396?
-34777396
Find the second derivative of -40*p**4 - 19907*p**3 - 2*p**2 + 13108*p - 399.
-480*p**2 - 119442*p - 4
Find the second derivative of -548*w**3 - 8185*w**2 - 36958005*w.
-3288*w - 16370
What is the second derivative of 2*i**4*w - 925915*i**4 + 27*i*w - 13*i - 5*w + 5 wrt i?
24*i**2*w - 11110980*i**2
What is the third derivative of 8443949*z**5 + 12*z**3 + 243135719*z**2 wrt z?
506636940*z**2 + 72
What is the third derivative of -5701752*o**5 + 9*o**2 + 70220 wrt o?
-342105120*o**2
Find the first derivative of -50117366*x**4 - 13388254.
-200469464*x**3
What is the first derivative of 183582*s**3 + s**2 + 35*s + 31901105?
550746*s**2 + 2*s + 35
Find the first derivative of 100*b**4 + 62632*b*n**3 - 6861*n**3 - 58*n**2 + 3 wrt b.
400*b**3 + 62632*n**3
What is the third derivative of 13*q**5 + 162111*q**4 + 332268*q**2?
780*q**2 + 3890664*q
Find the second derivative of -8142209*j**2 - 387*j - 9749 wrt j.
-16284418
Find the third derivative of 60*f**5 + 2*f**4 - 1087*f**3 - 13977*f**2 - 4.
3600*f**2 + 48*f - 6522
Find the second derivative of -19*l**4 - 171*l**3 - 3315*l**2 - 18173478*l.
-228*l**2 - 1026*l - 6630
What is the first derivative of -13522*h**4 - h**3 - 4015*h**2 - 419864710?
-54088*h**3 - 3*h**2 - 8030*h
What is the second derivative of -456947228*h**4 + 447535695*h?
-5483366736*h**2
Differentiate 14731978*n*z + 6875086*z wrt n.
14731978*z
Find the third derivative of -913105*b**4 + 74398942*b**2 wrt b.
-21914520*b
Differentiate -f**2*p*z - 34*f**2*z**3 - 37*f**2*z**2 - 20*f**2 + 389535*p*z**3 + 8*p - 6*z**3 + 1 with respect to p.
-f**2*z + 389535*z**3 + 8
Find the second derivative of -39*h**2*j**2*s + 17*h**2*j*s + 73703*h**2*s**2 + h**2*s - 2*h*s + 3*j**2*s**2 - 27*j**2 + 2*s wrt s.
147406*h**2 + 6*j**2
Find the second derivative of -8*k**2*q**2*z**3 - 354691*k**2*z**3 + 13220*k*q**2*z**2 + 8*k*z + q**2 - 2*q*z**3 wrt k.
-16*q**2*z**3 - 709382*z**3
Differentiate -3313402*f + 7880535.
-3313402
Differentiate -5301398*p**3 - 8926205 with respect to p.
-15904194*p**2
What is the second derivative of 3*t**3 + 5171099*t**2 + 59645388*t wrt t?
18*t + 10342198
What is the second derivative of -91445*f**5 - 5*f**3 - 39*f**2 - 18213*f - 2173?
-1828900*f**3 - 30*f - 78
Find the third derivative of 310*r**4 - 292202*r**3 + 2*r**2 - 55*r + 246239 wrt r.
7440*r - 1753212
Find the second derivative of -102101037*b**2*d + 2*b*d + 70513*b - 7*d - 52 wrt b.
-204202074*d
Differentiate -26612493*y**3 - 5740554 with respect to y.
-79837479*y**2
What is the second derivative of -7*b**5 - 1448579*b**2*m - 36136137*b*m wrt b?
-140*b**3 - 2897158*m
What is the first derivative of 6*d**2*y + 25*d**2 + 6*d*y - 577*d - 8389*y + 48 wrt d?
12*d*y + 50*d + 6*y - 577
What is the third derivative of 7445882*r**3 + 248588*r**2?
44675292
Find the second derivative of 162*w**4 - 743*w**3 + 79*w**2 - 232*w - 31335.
1944*w**2 - 4458*w + 158
What is the second derivative of -23493140*g**2 - 70949403*g?
-46986280
Find the first derivative of -174*j**2*s - 5*j*s - 106086*j + 1345*s + 35965 wrt j.
-348*j*s - 5*s - 106086
Find the third derivative of 2093*f**3*q**3 + 10368*f**3*q - 2*f**3 + 3*f**2*q**2 - 2429*q**3 + 3*q**2 wrt q.
12558*f**3 - 14574
What is the derivative of 13338989*v**4 + v + 202843748?
53355956*v**3 + 1
Find the first derivative of 2674*a**4 - 16108*a**3 - 74409662 wrt a.
10696*a**3 - 48324*a**2
What is the third derivative of -7*o*p**5 + 3*o*p**3 + 2*o*p**2 + 306*o*p + 3114*o + 102591*p**3 - p**2 + 2*p wrt p?
-420*o*p**2 + 18*o + 615546
Differentiate -35862773*z**2 - 5*z - 194656694 with respect to z.
-71725546*z - 5
What is the first derivative of 13551708*i**2 - 15206515?
27103416*i
Find the first derivative of 10318697*c**3 + c**2 + 789785 wrt c.
30956091*c**2 + 2*c
Find the third derivative of -215433*r**2*x**3 + 12018*r**2*x**2 + r**2*x - 10*r*x**3 - 2*r*x**2 - 567*x**2 wrt x.
-1292598*r**2 - 60*r
Find the third derivative of k**5 + 8542*k**4 + 38*k**3 - 3*k**2 + 20812142.
60*k**2 + 205008*k + 228
Differentiate 63161768*t**4 + 82499969 wrt t.
252647072*t**3
Find the first derivative of 475783*l*x**2 - 90*l*x + 2*l - 112181411*x**2 wrt l.
475783*x**2 - 90*x + 2
Find the third derivative of 19941435*d**4 - 2*d**3 - 2354*d**2 + 2*d - 286 wrt d.
478594440*d - 12
What is the third derivative of -29346832*h**4*j - 10*h**3*j - 5855222*h**2*j - 58*h**2 wrt h?
-704323968*h*j - 60*j
Find the first derivative of -4545747*h**3 - 6*h**2 + 15347057 wrt h.
-13637241*h**2 - 12*h
What is the second derivative of -2*b**4 - 5578831*b**2 - 670853944*b?
-24*b**2 - 11157662
Find the third derivative of -2*u**4 - 2726550*u**3 + 5878*u**2 + 2*u - 56.
-48*u - 16359300
Differentiate 502*f**2*n**2*w + 238282*f**2*n**2 - 691*f**2*w + 16*f*n**2 + 7*w wrt w.
502*f**2*n**2 - 691*f**2 + 7
Find the third derivative of -60445699*z**3 + 168500*z**2 + 2*z + 3.
-362674194
What is the second derivative of 2*i**3*w**2 + i**3 + 85439*i**2*w + 1139*i*w**2 - 6800*w**2 - 63 wrt w?
4*i**3 + 2278*i - 13600
Find the third derivative of 357472803*s**3 + 154465950*s**2.
2144836818
What is the third derivative of -852177*y**6 + 2*y**3 - 135721*y**2 - 2*y - 4 wrt y?
-102261240*y**3 + 12
Find the third derivative of 26*u**5 - 872997*u**4 - 47*u**2 + 3098297.
1560*u**2 - 20951928*u
Differentiate 1252*r**2*s**3 - 13373325*r**2 + 8637*r*s**4 with respect to s.
3756*r**2*s**2 + 34548*r*s**3
Differentiate 253*l*v*w - 23*l*v - 72955*l*w - 150*l - 1143*v*w wrt v.
253*l*w - 23*l - 1143*w
What is the third derivative of 112098026*c**3 + 20*c**2 - 2*c + 232235 wrt c?
672588156
What is the first derivative of -4413233*c + 7701864?
-4413233
Find the second derivative of 54987*d*m**2*o**2 + d*m**2*o - 32415387*d*m**2 - 445*d*m*o**2 wrt o.
109974*d*m**2 - 890*d*m
Find the second derivative of -35*v**2*w - 1773235*v**2 - 931343*v*w + 143*v wrt v.
-70*w - 3546470
What is the third derivative of -640790*o**2*s**3*w**2 + 8*o**2*s**2*w**2 - 10*o**2*s*w + o**2*w + 3*o*s**3 + 8*s + 3*w**2 wrt s?
-3844740*o**2*w**2 + 18*o
What is the derivative of -176*z**2 - 19815*z - 42276363 wrt z?
-352*z - 19815
Find the third derivative of i**3*u*x + 823376*i**3*u + i**3*x + i**3 + i**2*u + 5*i*u*x + 4*i*u + 3*i*x - 648*u*x - 27*u wrt i.
6*u*x + 4940256*u + 6*x + 6
What is the second derivative of -527*x**5*z + 692*x**2*z + 4*x*z - 3*x + 18760 wrt x?
-10540*x**3*z + 1384*z
Find the second derivative of -93892242*d**3*z**2 + 44*d**3*z + 226*d**3 - d**2*z + 3*d*z - 58*z wrt z.
-187784484*d**3
Find the third derivative of 36870744*v**3 - 24110253*v**2 wrt v.
221224464
Find the third derivative of -2109298*s**4 - 121826*s**2 - 2*s wrt s.
-50623152*s
Differentiate -318974331*t**2 - 738754308.
-637948662*t
Find the third derivative of -132098*r**2*z**3 + 94*r**2*z + 2488*r*z**4 + 3986378*z**2 wrt z.
-792588*r**2 + 59712*r*z
Find the third derivative of -316*o**6 - 15795*o**5 - 7404982*o**2.
-37920*o**3 - 947700*o**2
Differentiate -31349544*i**4 - 47375301 wrt i.
-125398176*i**3
Find the third derivative of 623415298*o**3*t - 12*o**2*t + 2*o**2 - 17084*o*t - 632*t wrt o.
3740491788*t
Find the third derivative of 1024230*h**3*l**3 + 2404*h**3*l**2 + 4*h**3*l + 5*h**2*l**5 - 3*h**2*l**2 + 3 wrt l.
6145380*h**3 + 300*h**2*l**2
What is the first derivative of -28*l*t**2 + 32587*l - 1183*t**2 - 650 wrt t?
-56*l*t - 2366*t
What is the second derivative of -9304988*b**2 + 3741459*b?
-18609976
What is the derivative of 216551135*b**2 - 355513778 wrt b?
433102270*b
What is the second derivative of 48740381*w**5 - 793676*w wrt w?
974807620*w**3
What is the second derivative of -400085314*f**4 + 1017946*f + 70 wrt f?
-4801023768*f**2
Differentiate 580*h**3*j - 26*h**3 - 19*h + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
= f**2 + 3*f - 3. Let a be m(2). Suppose 5*u - 5 = -5*s, 3*u - a = -s - 3*s. Suppose 4*g - 80 = -4*v, 8 = g + s*v - 15. Is g composite?
False
Is 4/(-26) - 8235/(-39) composite?
False
Suppose -4 = -b - 1. Suppose n + q + q = -8, -12 = 3*q. Suppose -3*k = y - 89, n = -b*y - 0*y - 2*k + 239. Is y a composite number?
True
Suppose 0*l = l + n, 5*l + 4*n - 4 = 0. Let j = l + 0. Is j/2*47/2 prime?
True
Let o(p) = p**3 - 6*p**2 - 2*p + 4. Let w be o(7). Suppose 2*y + w = -y. Let v = y - -20. Is v prime?
True
Let z be (-8)/(-4) + 0 + 1. Let j be ((-6)/z + -79)/(-1). Let b = j + -58. Is b prime?
True
Let u be (-18)/(-5) - 4/(-10). Suppose u*w = -5*t - w + 245, 0 = -2*w + 6. Is t composite?
True
Suppose -o = -t - 407, 3*o - 2043 = -2*o + t. Is o a prime number?
True
Suppose 0 = -5*d + d - 16. Let o(i) = -44*i + 3. Is o(d) composite?
False
Let m be -1*(-2 - -3) + 1. Is (1 + m)/(4/212) a prime number?
True
Suppose 4*p - 2*p = 4. Suppose 3 = a - 4*a. Is (158/(-4))/(a/p) composite?
False
Is 3/5 - 9010/(-25) a composite number?
True
Let w = 860 - 481. Is w composite?
False
Let t = 281 + -142. Is t composite?
False
Let s(a) = 1. Let r(t) = -t**3 - 7*t**2 - 3*t - 2. Let w(j) = -r(j) - 5*s(j). Suppose u = 2*u + 6. Is w(u) prime?
False
Suppose -3*q + 14 = -4. Let p = -6 + q. Suppose 5 = x, -2*u + x = -p*x - 143. Is u a composite number?
True
Is (1174/(-6))/((-4)/12) composite?
False
Let b(l) = l**2 + 3*l - 12. Let w be b(11). Suppose 5*x - 402 = -2*h, w = 3*h + 5*x - 451. Is h a composite number?
False
Let b(o) = 820*o**2 + 2*o - 1. Suppose -16 = 6*u - 2*u + 5*p, 3*u - 19 = 4*p. Is b(u) a prime number?
True
Let p(t) = 90*t + 5. Is p(7) a composite number?
True
Suppose 645 = 4*l - 2095. Is l prime?
False
Let g = -59 + 78. Is g composite?
False
Let s(b) = b**3 + 3*b**2 - 2*b - 3. Let h(y) = y**3 - 7*y**2 - y + 5. Let w be h(7). Let v be s(w). Suppose -v*q = -f + 2, f - 2*f + q + 6 = 0. Is f prime?
True
Let l = 289 + 257. Let p = 1059 - l. Suppose p = 4*x + 89. Is x a composite number?
True
Suppose u + 5 = -2*a, 12 = -3*a - 6*u + 3*u. Suppose 0*n - 4*n - 3*b = -238, -4*n - 5*b = -242. Is (n/(-4))/a*6 prime?
False
Let j(c) = -7*c**2 - 4*c**2 - c**3 + 0*c**3 + 5 - 10*c. Is j(-11) a composite number?
True
Let v = -260 + 391. Is v a composite number?
False
Suppose 0 - 4 = 4*n. Let a be (n - (1 - 2)) + 2. Suppose o - 15 = -2*j + 29, a*o + j - 91 = 0. Is o a composite number?
True
Let w be (-4 - -5)*0 - -5. Suppose 382 = -4*g + w*g. Is g a composite number?
True
Let g = 11 + -19. Let i(f) = 2*f - 5. Let u be i(g). Let y = -14 - u. Is y composite?
False
Let t = -20 - -33. Suppose -1 = 3*x - t. Suppose -x*l + 5*j + 33 = 0, 5*l = 5*j + 34 + 6. Is l prime?
True
Is (106/(-8))/(4/(-48)) a prime number?
False
Let p = -276 - -404. Let v(x) = -42*x + 7. Let i be v(-6). Let j = i - p. Is j composite?
False
Suppose 1492 = -10*b + 14*b. Is b composite?
False
Let i(f) = 11*f**2 + f - 1. Is i(-3) prime?
False
Suppose 0*v - 30 = -5*v. Let m be (2 - 1)/(3/v). Let i(f) = f**3 - 2*f**2 + 2*f + 2. Is i(m) a composite number?
True
Let a = -24 - -31. Suppose -3*d + 19 = a, -5*b = -d - 1981. Is b prime?
True
Suppose -5*o - 5*f = -2*f - 89, 2*o - 3*f = 44. Let c = 34 + o. Is c a prime number?
True
Let w = -378 - -736. Is (-6)/(-4) + w/4 a composite number?
True
Suppose -128 + 52 = -4*u. Is u composite?
False
Let z be (-57)/(3/(-4) + 0). Suppose 3*c = -z + 283. Is c composite?
True
Is ((-236)/16)/(1/(-4)) prime?
True
Let y = 117 - 251. Suppose -3 + 8 = 5*z. Is 3*z*y/(-6) prime?
True
Suppose 0 = 3*d - 23 + 8. Suppose -3*r = -d*t + 155, -2*t - r + 48 = -5*r. Is t a prime number?
False
Suppose 4*n + 4*s = 131 + 445, 0 = n - s - 146. Is n a composite number?
True
Let r(n) = 2*n**2 + n + 13. Is r(-12) a composite number?
True
Let g(i) = -2*i - 4. Let r be g(-3). Suppose 2*m = 10, 0 = 4*h + r*m + 3*m - 597. Suppose -4*x + h = -29. Is x prime?
True
Let m(o) = 117*o + 8. Let i(t) = 58*t + 4. Let d(j) = -7*i(j) + 3*m(j). Is d(-3) a prime number?
False
Let v = 11 - 4. Suppose -25 = -12*s + v*s. Suppose s*f = 480 + 5. Is f prime?
True
Suppose h - 19 - 14 = 0. Is h a composite number?
True
Suppose 2*w = -5*w + 889. Is w composite?
False
Suppose o - 5*y - 48 = 0, 3*o - 2*y - 25 - 67 = 0. Suppose -3*v + 15 = 5*g, -3*g + v + o = -v. Suppose -g*c + c = -345. Is c a prime number?
False
Is -5*-158*3/15 a prime number?
False
Let w(h) = 10*h - 7. Let u(t) = -2*t**3 + 3*t**2 - 3*t + 3. Let q be u(2). Let a be w(q). Is 0 - a/2*2 composite?
True
Let y be ((-825)/12)/((-2)/8). Suppose -j = -5*b - 55, y = 2*j + 3*j - 3*b. Suppose -n = -4*k - j, 3*n - k + 74 = 250. Is n prime?
True
Let y be 85/3*(15 - 0). Suppose -5*t - 5*a = -y, -3*t + 161 + 82 = -3*a. Is t prime?
True
Suppose 0 = -5*z + 186 + 424. Is z composite?
True
Suppose -5*t = -4*p - 36, -3*t + 4 = -p + 3*p. Suppose -46 = -2*x + 4*c, -3*x - t*c + 6*c = -61. Is x a prime number?
True
Let s(i) = -i**3 + 7*i**2 - 4*i - 2. Let c be s(5). Suppose q + c = 3*r, 4 = 2*r - 3*r + 3*q. Is r prime?
True
Let p = 1809 + -466. Is p a prime number?
False
Suppose 0 = 2*x - 2*n + 45 + 39, -194 = 5*x + 3*n. Let t = -3 + -26. Let y = t - x. Is y prime?
True
Suppose -7*f = -3*f - 524. Is f a prime number?
True
Suppose 0 = -4*r + 5*n + 1, -4*n = 5*r - 21 - 11. Suppose -376 = -3*m + 4*h + h, 0 = -r*m + 5*h + 503. Is m a composite number?
False
Is 2 + ((-3 - -2) + 5752 - 4) prime?
True
Suppose -9*j + 1166 = -7*j. Is j prime?
False
Suppose h - 5*n = 5, n + 1 = h - 0*h. Suppose -l + 20 + 3 = h. Is l a prime number?
True
Let h(i) = -i**2 - 5*i**2 - i**3 + i**2 + 4*i - 11. Let l = -21 + 13. Is h(l) a composite number?
False
Let a(p) be the second derivative of 23*p**3/3 + p**2/2 - 3*p. Is a(1) a prime number?
True
Suppose -2042 = -17*p + 117. Is p a composite number?
False
Suppose 1 = -u + 3. Is (-3)/6 + 279/u composite?
False
Let u = -1200 - -1741. Is u a composite number?
False
Let n = 12 - 7. Suppose 2*y = y + 5*f - 8, 0 = y + 4*f - 28. Suppose -n*r - 5*q + 60 = 0, -2*r + 4*q = 2*q - y. Is r composite?
True
Suppose 4 = 2*s - 0*s. Suppose 2*j + s*j - 1028 = 0. Is j composite?
False
Is 2/11 - (-29753)/11 prime?
False
Let f be 45/10*20/(-6). Let y = f - -10. Let m(i) = -i**3 + 3*i**2 + i - 4. Is m(y) prime?
True
Let q be (-1 + 3)/(-2) - -54. Suppose -u = -2*j - q, 6*j - 2*j = -5*u + 279. Is u a composite number?
True
Let f be 0*(-3 + 1)/(-2). Suppose -q + 0*h + 135 = 4*h, -5*q - 4*h + 627 = f. Is q prime?
False
Let l(k) = k**3 - 4*k**2 - 3*k - 1. Suppose -5*v = -0*j - j + 9, 4*v + 2*j + 10 = 0. Let t be (v + -10)*2/(-4). Is l(t) composite?
False
Suppose -i = 4*i + 1125. Let q = i + 574. Suppose 0*x + q = 5*b - 3*x, x = b - 69. Is b composite?
False
Let c(u) = 3*u**2 + 26*u - 32. Is c(23) prime?
True
Suppose -3*z + 22 = -185. Is z a prime number?
False
Let k(o) = 507*o + 29. Is k(2) a prime number?
False
Let w(n) = 68*n**2 + 3*n - 4. Let m be w(3). Suppose 0 = 3*p + 5*z - m, -140 + 966 = 4*p + 5*z. Is p a composite number?
True
Suppose 5*v - 1492 - 6568 = 0. Suppose -v = -3*h - h. Is h prime?
False
Suppose -4*c = -2*h - 10, -35 = 2*c - 6*c - 3*h. Suppose -z = -4 - c. Let n = z + -6. Is n a composite number?
False
Let d(k) = -k**3 + 12*k**2 - 3*k + 3. Is d(6) a composite number?
True
Let z be (-5 - -6) + (1 - 1). Suppose -132 = -w + z. Is w a composite number?
True
Suppose -3*y - m = -1, -y - 4*y = 2*m. Suppose y*w + 2*p - 485 = -w, 2*p = -4. Is w prime?
True
Let f = 77 + -26. Is f composite?
True
Let b be (3 - 2)*-1 - -2. Let g be 1 + 45 - (b + -4). Let x = -18 + g. Is x a composite number?
False
Let a(g) be the third derivative of g**5/20 - 5*g**3/6 + 2*g**2. Let z be a(4). Suppose -2*s = -z - 151. Is s prime?
True
Let m(w) = 14*w**2 - 4*w + 15. Is m(7) composite?
False
Suppose -30 = 5*b - 2*n, -3*b + 5*n = 13 + 5. Let z(p) = -22*p - 2. Let t(m) = 11*m + 1. Let u(y) = 7*t(y) + 4*z(y). Is u(b) a composite number?
True
Suppose -6*w = -2*w. Suppose 5*c = -w*c + 295. Is c a composite number?
False
Let o(f) = f**2 + 34. Let p be o(0). Suppose 3*k = -2*r + 314, 314 = -0*r + 2*r + 2*k. Let a = r - p. Is a composite?
True
Let i(w) = -w**2 - 8. Let p be i(0). Is (-4)/p - (-34)/4 composite?
True
Let z(l) = -l**3 + 5*l**2 + 5*l. Let q be z(6). Let k(h) = -4*h - 5. Is k(q) a composite number?
Fals
|
{
"pile_set_name": "DM Mathematics"
}
|
3224 - -4?
-3220
In base 6, what is -1125 + 34?
-1051
In base 14, what is -4 - 315?
-319
In base 15, what is -ec6 - -3?
-ec3
In base 11, what is 212 - -2?
214
In base 9, what is 6 + -80?
-73
In base 11, what is -33 + -261?
-294
In base 8, what is 373 + -3?
370
In base 5, what is -121 + -1?
-122
In base 16, what is -4 + -27?
-2b
In base 6, what is 4 + -433?
-425
In base 5, what is 41 + -13?
23
In base 3, what is 0 - -1122101?
1122101
In base 11, what is 26 + 74?
9a
In base 12, what is -25 - -31?
8
In base 6, what is -15 + -11?
-30
In base 7, what is -11 + -204?
-215
In base 8, what is -5552 + 2?
-5550
In base 9, what is 16 + 5?
22
In base 15, what is 0 - da8?
-da8
In base 15, what is -37 - -9?
-2d
In base 10, what is 1796 + -4?
1792
In base 4, what is -10023003 - 2?
-10023011
In base 11, what is 0 - 196?
-196
In base 8, what is -1 - -35?
34
In base 7, what is -2 - -525?
523
In base 10, what is -405 + -6?
-411
In base 5, what is -120 + 12?
-103
In base 15, what is 60 + 7?
67
In base 9, what is 22061 + 0?
22061
In base 8, what is 461 - 14?
445
In base 6, what is 32 - -111?
143
In base 2, what is -101 - 10101010?
-10101111
In base 8, what is 4 - 475?
-471
In base 13, what is -32 - 10?
-42
In base 2, what is -110 - -1001011000011?
1001010111101
In base 5, what is 4 + 42141?
42200
In base 10, what is 7972 - -3?
7975
In base 12, what is 16 + b?
25
In base 7, what is -2 - -6044?
6042
In base 7, what is 5 + 1333?
1341
In base 5, what is -4 - -132?
123
In base 13, what is -17178 + -5?
-17180
In base 9, what is 0 + -18?
-18
In base 15, what is -118 + 5?
-113
In base 13, what is 9 + -9a7?
-99b
In base 7, what is -120 + -3?
-123
In base 9, what is 13 - -71?
84
In base 10, what is 2 - 463?
-461
In base 14, what is -4b5 + -6?
-4bb
In base 6, what is -4 + -2?
-10
In base 4, what is 11 + -3230?
-3213
In base 2, what is 1110 - 100?
1010
In base 14, what is 97 + -2?
95
In base 11, what is -3 + -3686?
-3689
In base 2, what is -1011 - 1000?
-10011
In base 11, what is 819 + -1?
818
In base 10, what is -23 - -79?
56
In base 16, what is -1f + -5?
-24
In base 4, what is 10123 + 2?
10131
In base 14, what is 1 + -226?
-225
In base 2, what is 1001011 - 1000?
1000011
In base 5, what is -130 - 32?
-212
In base 13, what is 3 - 119?
-116
In base 6, what is 2 - -111?
113
In base 7, what is -603 - -5?
-565
In base 4, what is 11 - 3?
2
In base 13, what is 13 + 69?
7c
In base 2, what is -110 + 10101010?
10100100
In base 13, what is 264 - -5?
269
In base 16, what is -1c21 - -2?
-1c1f
In base 7, what is 0 + 1353?
1353
In base 5, what is 10 + 20434?
20444
In base 14, what is -8 - -34?
2a
In base 2, what is 1110 - -1?
1111
In base 4, what is 13103 - -11?
13120
In base 5, what is -223 + 110?
-113
In base 3, what is 21 + -1102?
-1011
In base 5, what is 4221 + 3?
4224
In base 6, what is 41003 + -4?
40555
In base 15, what is -b7 + -2?
-b9
In base 3, what is 11 - -11110?
11121
In base 6, what is 3 - -525?
532
In base 14, what is -5 - -a77?
a72
In base 10, what is 638 - 5?
633
In base 13, what is b + 27?
35
In base 3, what is 10010 + -1120?
1120
In base 4, what is 11 - 1200?
-1123
In base 6, what is 5 + -1545?
-1540
In base 12, what is -34 - -4?
-30
In base 10, what is -1 - -98?
97
In base 13, what is 5 - -508?
510
In base 6, what is -2340 - -2?
-2334
In base 3, what is 11 - -21222?
22010
In base 14, what is 13 + 16?
29
In base 6, what is -3 + 1?
-2
In base 16, what is -a + b?
1
In base 10, what is -8 + 1140?
1132
In base 15, what is -4 - -44?
40
In base 10, what is -9 - 23?
-32
In base 13, what is 3 - 51?
-4b
In base 8, what is 1526 + -3?
1523
In base 3, what is -2 - 20?
-22
In base 14, what is -5 - -17?
12
In base 16, what is 75 - 4?
71
In base 16, what is -5 - a13?
-a18
In base 14, what is -6 + 78?
72
In base 5, what is 3 + 20231?
20234
In base 2, what is 10 + 1010100000?
1010100010
In base 16, what is -1 + ca?
c9
In base 11, what is 4 - -34?
38
In base 9, what is -737 - 10?
-747
In base 3, what is -12 + 22102?
22020
In base 5, what is -3 - -1021?
1013
In base 4, what is -33210 + -1?
-33211
In base 16, what is -3 + -30?
-33
In base 11, what is 1 - 5?
-4
In base 11, what is 1 + -4?
-3
In base 8, what is 172 - -2?
174
In base 8, what is -11 + -1556?
-1567
In base 5, what is -134043 + -2?
-134100
In base 14, what is -207 - 5?
-20c
In base 2, what is -100 + 1101100?
1101000
In base 11, what is 0 + 4?
4
In base 12, what is -1 + 8a5?
8a4
In base 6, what is -2 - 313?
-315
In base 9, what is -3 + 1652?
1648
In base 13, what is -6 + -2?
-8
In base 12, what is 3 - -69?
70
In base 2, what is 100 - -111111001?
111111101
In base 4, what is -1 - -210?
203
In base 14, what is -93 - -44?
-4d
In base 13, what is 2 + 26?
28
In base 3, what is -1002011 - 11?
-1002022
In base 5, what is 1334 - 0?
1334
In base 12, what is -221 - -4?
-219
In base 14, what is 15 - -a?
21
In base 10, what is -2006 - -3?
-2003
In base 2, what is 10010110111 - 10001?
10010100110
In base 6, what is -531 + 3?
-524
In base 2, what is -100101001 - 110?
-100101111
In base 16, what is 5 + -35?
-30
In base 5, what is -11 + 314?
303
In base 10, what is 178 + 0?
178
In base 7, what is -11 + -45?
-56
In base 9, what is -5628 - -2?
-5626
In base 2, what is 101000101 + -111010?
100001011
In base 9, what is -218 + -5?
-224
In base 12, what is 3 + -39?
-36
In base 9, what is 257 + -13?
244
In base 6, what is 1 - -5302?
5303
In base 10, what is -1 + 1715?
1714
In base 13, what is 0 - 53?
-53
In base 10, what is 3 - -1796?
1799
In base 10, what is -4 + 448?
444
In base 8, what is 213 - -4?
217
In base 6, what is 3 + 22301?
22304
In base 11, what is -5 - -4?
-1
In base 7, what is -1150 - -11?
-1136
In base 4, what is 13 - 3231?
-3212
In base 3, what is -12 + 22022?
22010
In base 5, what is -211 - 20?
-231
In base 15, what is -4 + -465?
-469
In base 15, what is -237 + d?
-229
In base 15, what is -55 - 14?
-69
In base 8, what is -10074 - 4?
-10100
In base 14, what is c2 - 15?
ab
In base 5, what is 10 + -23010?
-23000
In base 16, what is -5 + 4e?
49
In base 6, what is 1 - 212?
-211
In base 9, what is -106 + 0?
-106
In base 7, what is -143 - 5?
-151
In base 6, what is 15333 - -5?
15342
In base 15, what is 165a - 0?
165a
In base 3, what is 21 + -201?
-110
In base 9, what is 2256 + -1?
2255
In base 16, what is 6 + 4?
a
In base 12, what is -1147 - 2?
-1149
In base 3, what is -10211 - 10?
-10221
In base 2, what is 110100011101 - -11?
110100100000
In base 13, what is -6c2 + -2?
-6c4
In base 3, what is -1 + 121101?
121100
In base 9, what is -2 - -53?
51
In base 9, what is 32 - 68?
-36
In base 2, what is 101 + -1010101111?
-1010101010
In base 12, what is 543 + 10?
553
In base 13, what is -6 + -b?
-14
In base 14, what is 0 - -c4?
c4
In base 15, what is -38 + -2?
-3a
In base 10, what is 6 - -14?
20
In base 15, what is -3 - -d7?
d4
In base 4, what is -3101 + 120?
-2321
In base 11, what is a7 - -5?
101
In base 4, what is 3 - -3320?
3323
In base 13, what is 8 + 40?
48
In base 6, what is -15 + 10?
-5
In base 5, what is 10 - -434?
444
In base 11, what is 6 + -232?
-227
In base 6, what is 432 - -3?
435
In base 11, what is 1 + -456?
-455
In base 2, what is 101 + -11000001001?
-11000000100
In base 8, what is 4 - 14511?
-14505
In base 5, what is -124 - 41?
-220
In base 15, what is 170 + 9?
179
In base 11, what is -74 - -21?
-53
In base 15, what is bb + -4?
b7
In base 16, what is 2 - f4?
-f2
In base 10, what is 3 - 627?
-624
In base 9, what is 1212 + 0?
1212
In base 11, what is -22a3 - -4?
-229a
In base 8, what is 2 - -37?
41
In base 6, what is 115 - -3?
122
In base 11, what is -34 - -1?
-33
In base 2, what is -100111100101 - 11?
-100111101000
In base 14, what is 21 - 0?
21
In base 12, what is -212b - 4?
-2133
In base 6, what is -325 - 2?
-331
In base 12, what is -1b + 127?
108
In base 5, what is 1324 + -10?
1314
In base 10, what is 3 + 42?
45
In base 2, what is -101 - 111?
-1100
In base 8, what is -1 - 10101?
-10102
In base 3, what is -12 + -2011202?
-2011221
In base 4, what is -11 - -203213?
203202
In base 10, what is -2343 - -1?
-2342
In base 16, what is -26 + 5?
-21
In base 12, what is -24 + 14?
-10
In base 9, what is -4 - 68?
-73
In base 13, what is 18 - 7?
11
In base 8, what is -45 + 1?
-44
In base 9, what is 0 - 10402?
-10402
In base 6, what is 1 - 24014?
|
{
"pile_set_name": "DM Mathematics"
}
|
w**3/2 + 2231*w**2/2 - w/2 - 2231/2 = 0.
-2231, -1, 1
Find a, given that 5*a**5 - 110*a**4 + 520*a**3 - 640*a**2 = 0.
0, 2, 4, 16
Let -2*d**2/11 - 28044*d/11 + 28046/11 = 0. What is d?
-14023, 1
Suppose 3*f**4/2 - 648*f**3 + 134013*f**2/2 + 205578*f + 137922 = 0. Calculate f.
-2, -1, 181, 254
Factor -4*t**2/9 + 127528*t/9.
-4*t*(t - 31882)/9
Factor 5*w**3 - 145*w**2 - 3120*w - 7920.
5*(w - 44)*(w + 3)*(w + 12)
Factor 3*c**4/5 + 3216*c**3/5 + 926778*c**2/5 + 6956208*c + 70178535.
3*(c + 21)**2*(c + 515)**2/5
Determine f so that 2523*f**5 - 166344*f**4 - 1300734*f**3 - 89112*f**2 - 1533*f = 0.
-7, -1/29, 0, 73
What is m in 6*m**3/11 + 7176*m**2/11 + 42870*m/11 + 35700/11 = 0?
-1190, -5, -1
Determine y so that -2*y**2/21 + 292*y/21 + 107440/21 = 0.
-170, 316
Determine z so that 5*z**3 + 855*z**2 - 173150*z - 174000 = 0.
-290, -1, 120
Solve -f**4/7 + 33010*f**3/7 - 38911716*f**2 - 77842296*f = 0.
-2, 0, 16506
What is t in -8*t**4/3 + 15502*t**3/3 - 3337236*t**2 + 2154185192*t/3 + 539172272/3 = 0?
-1/4, 646
Suppose -7*n**5/5 + 1269*n**4/5 + 3502*n**3/5 - 1104*n**2/5 = 0. Calculate n.
-3, 0, 2/7, 184
Suppose -5*v**4 - 130*v**3 + 1405*v**2 + 1530*v = 0. Calculate v.
-34, -1, 0, 9
Find l, given that -3*l**3/8 - 1185*l**2/8 + 42891*l/8 - 371943/8 = 0.
-429, 17
Factor 2*o**4 - 128*o**3 - 1266*o**2 - 3472*o - 2336.
2*(o - 73)*(o + 1)*(o + 4)**2
Find v such that -3*v**5 + 306*v**4 - 1860*v**3 - 14250*v**2 + 138375*v - 285000 = 0.
-8, 5, 95
Let -16*m**3 + 84*m**2 + 1764*m + 2744 = 0. What is m?
-7, -7/4, 14
Solve -1369*x**3/5 + 39389016*x**2/5 - 851652*x + 115088/5 = 0 for x.
2/37, 28772
Determine k so that -3*k**5 - 324*k**4 + 2364*k**3 - 5814*k**2 + 5847*k - 2070 = 0.
-115, 1, 2, 3
Factor 27*q**3 - 195216*q**2 + 1018755*q - 216750.
3*(q - 7225)*(q - 5)*(9*q - 2)
Factor -3*u**3 + 363*u**2 + 3*u - 363.
-3*(u - 121)*(u - 1)*(u + 1)
Let -3*n**5 + 117*n**4 + 378*n**3 + 12*n**2 - 504*n = 0. Calculate n.
-2, 0, 1, 42
Factor -m**4 + 4509*m**3 - 9015*m**2 + 4507*m.
-m*(m - 4507)*(m - 1)**2
Solve 5*k**3/4 - 15*k**2/2 + 15*k - 10 = 0 for k.
2
What is s in 2*s**2/9 - 2050*s/9 + 8168/9 = 0?
4, 1021
Suppose 6*p**4/11 - 12682*p**3/11 + 6686564*p**2/11 + 15662632*p/11 + 4477456/11 = 0. What is p?
-2, -1/3, 1058
Determine k, given that 3*k**2/5 - 2079*k/5 + 228516/5 = 0.
137, 556
Suppose -n**4/3 - 191*n**3/3 + 260*n**2 = 0. Calculate n.
-195, 0, 4
Factor -3*q**5 + 5520*q**4 + 16578*q**3 + 16584*q**2 + 5529*q.
-3*q*(q - 1843)*(q + 1)**3
Find c such that -7*c**5 + 2729*c**4 - 273849*c**3 + 1533303*c**2 - 2097792*c - 331776 = 0.
-1/7, 3, 192
Find l, given that 4*l**4 + 17480*l**3 + 52416*l**2 + 52408*l + 17468 = 0.
-4367, -1
Suppose -g**2 - 782*g - 121197 = 0. What is g?
-569, -213
Factor -12*h**2 + 11120*h + 3708.
-4*(h - 927)*(3*h + 1)
Suppose -3*w**5/7 + 750*w**4/7 + 11811*w**3/7 + 30138*w**2/7 + 19080*w/7 = 0. What is w?
-12, -2, -1, 0, 265
Factor 2*m**2/21 + 12452*m/21.
2*m*(m + 6226)/21
Determine s, given that s**4/8 + 181*s**3/8 - 23*s**2 - 91*s/2 = 0.
-182, -1, 0, 2
Find j, given that -15*j**5 + 125*j**4 + 100*j**3 - 2000*j**2 + 2240*j = 0.
-4, 0, 4/3, 4, 7
Suppose 3*z**5/4 - 10647*z**4/4 + 6292353*z**3/2 - 1235358960*z**2 - 3766086144*z + 12448481280 = 0. Calculate z.
-5, 2, 1184
Solve l**5 + 50*l**4 + 305*l**3 + 160*l**2 - 516*l = 0.
-43, -6, -2, 0, 1
Let 21*f**3/4 + 21465*f**2/2 - 18417*f - 6138 = 0. Calculate f.
-2046, -2/7, 2
Let -p**4 + 7637*p**3 - 19377198*p**2 + 16170308764*p + 416488186600 = 0. Calculate p.
-25, 2554
Factor -x**4/3 - 2*x**3 + 248*x**2/3 - 256*x - 2560/3.
-(x - 8)**2*(x + 2)*(x + 20)/3
Factor 4*m**2 + 88088*m + 484968484.
4*(m + 11011)**2
Factor -4*f**2/5 + 3772*f/5 + 5320.
-4*(f - 950)*(f + 7)/5
Solve -5*p**3 - 3005*p**2 - 8980*p - 5980 = 0 for p.
-598, -2, -1
Find g such that -3*g**2 - 79376*g + 26459 = 0.
-26459, 1/3
Factor 3*q**2 + 104772*q + 209532.
3*(q + 2)*(q + 34922)
Let -z**5/2 + 12*z**4 - 58*z**3 - 181*z**2 + 117*z/2 + 169 = 0. Calculate z.
-2, -1, 1, 13
Solve -j**4/4 + 35*j**3 + 291*j**2/4 - 499*j/2 + 142 = 0 for j.
-4, 1, 142
Suppose -24*h**5 + 340*h**4 + 6300*h**3 + 5000*h**2 = 0. Calculate h.
-10, -5/6, 0, 25
Suppose -5*j**5 - 337*j**4 - 6794*j**3 - 37764*j**2 - 68040*j - 21600 = 0. Calculate j.
-30, -4, -3, -2/5
Factor 2*h**3 - 12212*h**2 + 48792*h + 146448.
2*(h - 6102)*(h - 6)*(h + 2)
Factor 3*r**3/4 - 2853*r**2/2 + 5697*r - 5694.
3*(r - 1898)*(r - 2)**2/4
Determine k so that -k**5/4 + 7*k**4 - 10*k**3 - 80*k**2 + 44*k + 208 = 0.
-2, 2, 4, 26
Factor i**4/4 - i**3/4 - 41*i**2/2 - 20*i.
i*(i - 10)*(i + 1)*(i + 8)/4
Let -3*l**3 - 127*l**2/4 - 51*l/4 + 95/2 = 0. Calculate l.
-10, -19/12, 1
Factor -w**2 + 8837*w - 8836.
-(w - 8836)*(w - 1)
Let -3*h**3 + 159*h**2 + 12075*h + 157113 = 0. What is h?
-23, 99
Determine u, given that -4*u**2/5 - 2864*u/5 + 8176 = 0.
-730, 14
Solve -3*u**5 - 1854*u**4 - 322146*u**3 - 17431932*u**2 - 33904827*u - 16793190 = 0 for u.
-370, -123, -1
Find y such that 8*y**3/5 + 174*y**2/5 + 76*y/5 - 816 = 0.
-20, -6, 17/4
Factor -3*l**2/5 + 183726*l/5 + 183729/5.
-3*(l - 61243)*(l + 1)/5
Suppose 3*k**2/7 + 598398*k/7 - 1196808/7 = 0. What is k?
-199468, 2
Factor 2*v**4/9 + 452*v**3/3 + 244274*v**2/9 + 1630816*v/3 + 26035328/9.
2*(v + 11)**2*(v + 328)**2/9
Factor -2*h**3 - 7436*h**2 - 22282*h + 29720.
-2*(h - 1)*(h + 4)*(h + 3715)
Factor k**5 + 174*k**4 + 9588*k**3 + 156520*k**2 - 352800*k.
k*(k - 2)*(k + 36)*(k + 70)**2
Factor -g**2/2 - 21837*g + 131031/2.
-(g - 3)*(g + 43677)/2
Find v, given that -3*v**5 + 1713*v**4 + 15588*v**3 + 41712*v**2 + 27840*v = 0.
-4, -1, 0, 580
Let -4*s**5 - 644*s**4 - 35176*s**3 - 728904*s**2 - 4042836*s + 19691532 = 0. Calculate s.
-61, -21, 3
Suppose -5*w**3 + 24400*w**2 - 48780*w = 0. What is w?
0, 2, 4878
Solve 44*b**3/7 - 870*b**2/7 + 2908*b/7 - 2082/7 = 0.
1, 3, 347/22
Factor o**3/7 + 116007*o**2/7 - 232017*o/7 + 116009/7.
(o - 1)**2*(o + 116009)/7
Suppose 225*c**4 + 12765*c**3 + 138334*c**2 - 37572*c + 2520 = 0. What is c?
-42, -15, 2/15
Solve 9*b**5 + 84*b**4 + 156*b**3 - 234*b**2 - 165*b + 150 = 0.
-5, -1, 2/3, 1
Factor -w**2/2 + 1857*w/2 + 8397.
-(w - 1866)*(w + 9)/2
Solve 7*j**3/5 + 656*j**2/5 + 463*j/5 - 186/5 = 0.
-93, -1, 2/7
Suppose 5*s**4 - 2200*s**3 + 237560*s**2 + 976800*s + 985680 = 0. What is s?
-2, 222
Factor 2*u**2/11 - 338*u/11 - 7980/11.
2*(u - 190)*(u + 21)/11
Find u such that -u**4/5 + 7*u**3/5 - u**2 - 7*u/5 + 6/5 = 0.
-1, 1, 6
What is x in 3*x**2 - 473838*x + 18710204187 = 0?
78973
Factor d**2/2 - 69*d + 520.
(d - 130)*(d - 8)/2
Factor -3*i**3/5 - 3423*i**2/5 - 10800*i.
-3*i*(i + 16)*(i + 1125)/5
Factor 4*n**2 + 2248*n.
4*n*(n + 562)
Find o such that 4*o**4 - 6768*o**3 + 2883096*o**2 - 17116272*o + 25583364 = 0.
3, 843
What is b in 27*b**4 - 726*b**3 - 8307*b**2 - 19434*b - 11880 = 0?
-55/9, -2, -1, 36
Factor -2*s**4 + 68*s**3 - 210*s**2 - 7056*s.
-2*s*(s - 21)**2*(s + 8)
Factor 4*r**2 - 128000*r + 1024000000.
4*(r - 16000)**2
Let 5*u**2/3 + 1000*u/3 - 75375 = 0. What is u?
-335, 135
What is u in -u**3 - 464*u**2 + 19115*u + 19578 = 0?
-502, -1, 39
Factor 3*s**3 - 30*s**2 - 6837*s.
3*s*(s - 53)*(s + 43)
Solve 45*s**5/4 + 141*s**4 + 747*s**3/4 - 42*s**2 - 99*s = 0.
-11, -6/5, -1, 0, 2/3
Find d, given that -2*d**5/15 + 18*d**4/5 - 224*d**3/15 + 24*d**2/5 + 352*d/15 = 0.
-1, 0, 2, 4, 22
Factor 2*i**3 - 1502*i**2 - 134624*i - 133120.
2*(i - 832)*(i + 1)*(i + 80)
Determine y so that -2*y**2/7 + 125392*y/7 - 71648 = 0.
4, 62692
Factor 4*l**4/5 + 3924*l**3/5 + 1121988*l**2/5 + 5734124*l - 19194719448/5.
4*(l - 102)*(l + 361)**3/5
Suppose 11*t**5 - 1415*t**4 + 48588*t**3 - 193564*t**2 - 76880*t = 0. Calculate t.
-4/11, 0, 5, 62
Factor 2*f**2 + 792*f + 2358.
2*(f + 3)*(f + 393)
Find b, given that 2*b**5/9 + 98*b**4/9 + 698*b**3/9 + 586*b**2/3 + 164*b = 0.
-41, -3, -2, 0
Suppose -9*p**4 - 219*p**3/5 + 4488*p**2 - 119628*p/5 + 15552/5 = 0. What is p?
-27, 2/15, 6, 16
Suppose -6*f**5/11 + 246*f**4/11 - 810*f**3/11 - 23190*f**2/11 - 75984*f/11 - 4896 = 0. What is f?
-4, -1, 17, 33
Factor m**3 - 12188*m**2 - 24379*m - 12190.
(m - 12190)*(m + 1)**2
Solve -2*x**4/5 + 26*x**3 - 1522*x**2/5 - 7858*x/5 - 6204/5 = 0 for x.
-3, -1, 22, 47
Factor 28*j**3 + 26352*j**2 + 3732*j - 30112.
4*(j - 1)*(j + 941)*(7*j + 8)
Factor 25*c**2 - 13690*c + 8205.
5*(c - 547)*(5*c - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {b: 2, h: 5}. Give prob of sequence bh.
5/21
What is prob of sequence vv when two letters picked without replacement from vvnvlvvvnlvv?
14/33
Calculate prob of sequence zy when two letters picked without replacement from xmjzyymj.
1/28
Three letters picked without replacement from vuvv. What is prob of sequence uvv?
1/4
What is prob of sequence cs when two letters picked without replacement from oxrsc?
1/20
What is prob of sequence kkd when three letters picked without replacement from fjkffkfdfffjjt?
1/1092
Calculate prob of sequence mmdd when four letters picked without replacement from {d: 3, m: 11}.
5/182
Three letters picked without replacement from {d: 2, h: 1, x: 2, q: 14}. What is prob of sequence qxd?
28/2907
Four letters picked without replacement from yaayddyaa. What is prob of sequence ayay?
1/42
Two letters picked without replacement from {l: 3, s: 1, v: 6, k: 1, b: 1}. Give prob of sequence vv.
5/22
Three letters picked without replacement from vvllvlllvv. Give prob of sequence vvv.
1/12
Two letters picked without replacement from qyhyhsyyqlyyyhmhqlq. What is prob of sequence mq?
2/171
Calculate prob of sequence ef when two letters picked without replacement from ehsuyfs.
1/42
Four letters picked without replacement from kkeceeckckefececkee. Give prob of sequence eefe.
7/1938
What is prob of sequence gg when two letters picked without replacement from wwgggwwgwwwwwggg?
7/40
Calculate prob of sequence gskg when four letters picked without replacement from gggkggsskgggg.
12/715
What is prob of sequence lp when two letters picked without replacement from {r: 10, l: 2, p: 6}?
2/51
Four letters picked without replacement from {l: 3, m: 1, z: 5, x: 6, n: 3}. What is prob of sequence nzxl?
1/272
Calculate prob of sequence zz when two letters picked without replacement from txxzxzzz.
3/14
Two letters picked without replacement from ihohozfzzzzzorrfhh. What is prob of sequence ff?
1/153
Two letters picked without replacement from {l: 1, n: 3, k: 2, s: 1}. What is prob of sequence nk?
1/7
What is prob of sequence ie when two letters picked without replacement from iieeeeee?
3/14
Calculate prob of sequence ysu when three letters picked without replacement from {y: 2, u: 6, s: 5}.
5/143
What is prob of sequence oajj when four letters picked without replacement from joojajojojojojojjooj?
9/1292
Calculate prob of sequence yv when two letters picked without replacement from {p: 2, v: 1, k: 2, y: 1}.
1/30
What is prob of sequence fxif when four letters picked without replacement from nxdxfiufufinfi?
3/1001
Four letters picked without replacement from {q: 2, g: 7, x: 3, a: 3, f: 1, r: 2}. Give prob of sequence xqga.
7/4080
What is prob of sequence wjq when three letters picked without replacement from {s: 1, w: 1, q: 2, j: 2, v: 1, c: 1}?
1/84
Two letters picked without replacement from fhhhhhhhhfh. Give prob of sequence ff.
1/55
Four letters picked without replacement from eexeex. What is prob of sequence xxee?
1/15
Calculate prob of sequence eew when three letters picked without replacement from {w: 1, e: 3}.
1/4
Four letters picked without replacement from {j: 6, i: 4, m: 5, o: 1}. What is prob of sequence mmmi?
1/182
Two letters picked without replacement from uuuuhuuuhuhuuuhuuuh. What is prob of sequence uu?
91/171
Calculate prob of sequence aa when two letters picked without replacement from aatytytity.
1/45
Three letters picked without replacement from {y: 2, k: 2, w: 1, o: 1, b: 1, f: 1}. Give prob of sequence fwy.
1/168
Calculate prob of sequence yy when two letters picked without replacement from yjdjdydyy.
1/6
Three letters picked without replacement from {u: 2, i: 1, j: 2}. Give prob of sequence iju.
1/15
Four letters picked without replacement from qqqqfqqqqqqqqff. What is prob of sequence qfqq?
11/91
Two letters picked without replacement from ozuzouuuzzuuzuuu. Give prob of sequence oz.
1/24
Three letters picked without replacement from iggigiggoo. Give prob of sequence ggg.
1/12
What is prob of sequence wnb when three letters picked without replacement from {w: 1, x: 2, n: 1, b: 2}?
1/60
What is prob of sequence dda when three letters picked without replacement from {e: 2, t: 2, a: 1, m: 2, f: 6, d: 4}?
1/340
Calculate prob of sequence mr when two letters picked without replacement from ggqfgqgmgqr.
1/110
Calculate prob of sequence sss when three letters picked without replacement from {d: 1, s: 19}.
17/20
Four letters picked without replacement from {j: 1, r: 2, n: 1, o: 2}. What is prob of sequence ronr?
1/90
Calculate prob of sequence emmm when four letters picked without replacement from {e: 3, m: 7}.
1/8
Three letters picked without replacement from {v: 5, u: 14, o: 1}. What is prob of sequence ovu?
7/684
Calculate prob of sequence gkl when three letters picked without replacement from {g: 1, p: 3, i: 1, l: 1, j: 2, k: 3}.
1/330
Calculate prob of sequence ah when two letters picked without replacement from {c: 2, f: 1, a: 1, h: 1}.
1/20
Three letters picked without replacement from zezezzzxxzxxzxzzzzz. Give prob of sequence xex.
20/2907
Calculate prob of sequence rrlr when four letters picked without replacement from rlrlrrrr.
1/7
Four letters picked without replacement from {g: 3, k: 2}. Give prob of sequence kggk.
1/10
What is prob of sequence ryl when three letters picked without replacement from rrrrrrrrylr?
1/110
Calculate prob of sequence qtsb when four letters picked without replacement from sqbggtt.
1/420
What is prob of sequence qya when three letters picked without replacement from {t: 2, x: 6, y: 1, q: 1, a: 3}?
1/572
What is prob of sequence ggl when three letters picked without replacement from {g: 3, w: 3, l: 1, d: 3}?
1/120
Three letters picked without replacement from hdhhnhn. What is prob of sequence nnd?
1/105
Four letters picked without replacement from dddddddddddhdhdddd. Give prob of sequence ddhh.
1/153
Three letters picked without replacement from rrirrrsrr. Give prob of sequence isr.
1/72
Two letters picked without replacement from {h: 1, p: 1, z: 1, y: 1, t: 1}. What is prob of sequence ht?
1/20
What is prob of sequence ym when two letters picked without replacement from {y: 1, u: 1, l: 1, m: 4, b: 2}?
1/18
Two letters picked without replacement from {f: 4, p: 7, y: 4}. What is prob of sequence ff?
2/35
Four letters picked without replacement from {z: 4, y: 6, q: 2}. Give prob of sequence qzzy.
2/165
Three letters picked without replacement from ssssshshshs. What is prob of sequence hsh?
8/165
Three letters picked without replacement from {f: 2, l: 2, v: 1, j: 1}. Give prob of sequence ljf.
1/30
Four letters picked without replacement from {a: 12, l: 7}. What is prob of sequence alal?
77/1292
What is prob of sequence fw when two letters picked without replacement from {e: 8, w: 1, f: 10}?
5/171
Calculate prob of sequence mo when two letters picked without replacement from vvvovvmmmvmvvvovov.
2/51
What is prob of sequence ytf when three letters picked without replacement from {f: 2, y: 1, l: 3, g: 2, t: 4}?
1/165
Four letters picked without replacement from mfqhfhhmmqmrmrhmvhr. Give prob of sequence qrqm.
1/2584
Three letters picked without replacement from ggyyxxxvxyyfqqvvqf. Give prob of sequence qxy.
1/102
Calculate prob of sequence daa when three letters picked without replacement from {a: 5, d: 7, b: 1}.
35/429
What is prob of sequence wu when two letters picked without replacement from {v: 3, w: 2, u: 4}?
1/9
What is prob of sequence bbb when three letters picked without replacement from bbbfbfgffb?
1/12
What is prob of sequence hss when three letters picked without replacement from {y: 2, l: 2, s: 4, i: 1, h: 5}?
5/182
Three letters picked without replacement from vxexvdddqxdqdixdvd. Give prob of sequence edx.
7/1224
Calculate prob of sequence mpm when three letters picked without replacement from phpmhpmmmmhh.
1/22
Four letters picked without replacement from {z: 10, w: 10}. What is prob of sequence zzww?
45/646
Three letters picked without replacement from {n: 4, t: 2, e: 1, i: 3, b: 2}. What is prob of sequence tte?
1/660
Three letters picked without replacement from {o: 3, i: 2, a: 5, e: 1, u: 4, c: 5}. What is prob of sequence oei?
1/1140
Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 33?
12
What is the remainder when 10097 is divided by 22?
21
What is the remainder when 1351 is divided by 431?
58
What is the remainder when 50 is divided by 7?
1
Calculate the remainder when 56 is divided by 40.
16
Calculate the remainder when 33 is divided by 5.
3
Calculate the remainder when 2804 is divided by 85.
84
What is the remainder when 815 is divided by 63?
59
Calculate the remainder when 960 is divided by 189.
15
Calculate the remainder when 163 is divided by 32.
3
What is the remainder when 757 is divided by 29?
3
What is the remainder when 3777 is divided by 20?
17
Calculate the remainder when 201 is divided by 109.
92
Calculate the remainder when 242 is divided by 46.
12
Calculate the remainder when 178 is divided by 53.
19
What is the remainder when 114 is divided by 43?
28
Calculate the remainder when 322 is divided by 86.
64
Calculate the remainder when 93 is divided by 35.
23
Calculate the remainder when 363 is divided by 72.
3
Calculate the remainder when 139 is divided by 56.
27
What is the remainder when 252 is divided by 127?
125
What is the remainder when 754 is divided by 39?
13
Calculate the remainder when 51 is divided by 6.
3
Calculate the remainder when 494 is divided by 11.
10
What is the remainder when 14888 is divided by 12?
8
Calculate the remainder when 187 is divided by 60.
7
Calculate the remainder when 226 is divided by 23.
19
What is the remainder when 701 is divided by 59?
52
Calculate the remainder when 175 is divided by 39.
19
What is the remainder when 726 is divided by 110?
66
What is the remainder when 185 is divided by 64?
57
Calculate the remainder when 522 is divided by 7.
4
Calculate the remainder when 435 is divided by 90.
75
Calculate the remainder when 58 is divided by 33.
25
Calculate the remainder when 322 is divided by 87.
61
Calculate the remainder when 11429 is divided by 15.
14
What is the remainder when 170 is divided by 14?
2
Calculate the remainder when 4349 is divided by 14.
9
What is the remainder when 498 is divided by 95?
23
Calculate the remainder when 93 is divided by 48.
45
Calculate the remainder when 57 is divided by 16.
9
Calculate the remainder when 2204 is divided by 729.
17
Calculate the remainder when 1201 is divided by 101.
90
What is the remainder when 2584 is divided by 7?
1
What is the remainder when 271 is divided by 75?
46
Calculate the remainder when 387 is divided by 347.
40
Calculate the remainder when 4458 is divided by 93.
87
Calculate the remainder when 144 is divided by 97.
47
What is the remainder when 21028 is divided by 17?
16
Calculate the remainder when 346 is divided by 66.
16
Calculate the remainder when 266 is divided by 85.
11
What is the remainder when 108 is divided by 11?
9
Calculate the remainder when 88843 is divided by 15.
13
Calculate the remainder when 60 is divided by 36.
24
What is the remainder when 446 is divided by 28?
26
Calculate the remainder when 687 is divided by 10.
7
What is the remainder when 1869 is divided by 155?
9
Calculate the remainder when 93 is divided by 6.
3
Calculate the remainder when 324 is divided by 3.
0
What is the remainder when 3468 is divided by 8?
4
Calculate the remainder when 69253 is divided by 44.
41
Calculate the remainder when 462 is divided by 68.
54
Calculate the remainder when 2023 is divided by 9.
7
Calculate the remainder when 24 is divided by 6.
0
Calculate the remainder when 398 is divided by 37.
28
Calculate the remainder when 23 is divided by 5.
3
What is the remainder when 197 is divided by 54?
35
What is the remainder when 4190 is divided by 16?
14
What is the remainder when 17951 is divided by 68?
67
Calculate the remainder when 216 is divided by 20.
16
Calculate the remainder when 1632 is divided by 324.
12
Calculate the remainder when 1098 is divided by 20.
18
What is the remainder when 2643 is divided by 1309?
25
What is the remainder when 177 is divided by 76?
25
Calculate the remainder when 2414 is divided by 13.
9
What is the remainder when 888 is divided by 419?
50
What is the remainder when 268 is divided by 87?
7
Calculate the remainder when 107 is divided by 50.
7
What is the remainder when 1093 is divided by 138?
127
What is the remainder when 41 is divided by 15?
11
What is the remainder when 117 is divided by 24?
21
Calculate the remainder when 622 is divided by 4.
2
Calculate the remainder when 8899 is divided by 159.
154
What is the remainder when 780 is divided by 14?
10
Calculate the remainder when 123 is divided by 105.
18
What is the remainder when 1121 is divided by 7?
1
Calculate the remainder when 851 is divided by 107.
102
Calculate the remainder when 407 is divided by 23.
16
Calculate the remainder when 85 is divided by 38.
9
Calculate the remainder when 345 is divided by 167.
11
What is the remainder when 545 is divided by 90?
5
What is the remainder when 2950 is divided by 82?
80
Calculate the remainder when 23 is divided by 14.
9
What is the remainder when 267 is divided by 14?
1
What is the remainder when 246 is divided by 134?
112
Calculate the remainder when 466 is divided by 18.
16
Calculate the remainder when 1122 is divided by 125.
122
Calculate the remainder when 225 is divided by 5.
0
Calculate the remainder when 46 is divided by 14.
4
What is the remainder when 1303 is divided by 185?
8
Calculate the remainder when 259 is divided by 73.
40
Calculate the remainder when 368 is divided by 62.
58
What is the remainder when 193 is divided by 138?
55
What is the remainder when 177 is divided by 60?
57
What is the remainder when 388 is divided by 73?
23
What is the remainder when 84 is divided by 34?
16
Calculate the remainder when 1012 is divided by 216.
148
What is the remainder when 247 is divided by 152?
95
Calculate the remainder when 26 is divided by 10.
6
Calculate the remainder when 3887 is divided by 134.
1
Calculate the remainder when 96 is divided by 20.
16
Calculate the remainder when 203 is divided by 25.
3
What is the remainder when 53 is divided by 3?
2
Calculate the remainder when 1449 is divided by 12.
9
What is the remainder when 527 is divided by 163?
38
Calculate the remainder when 191 is divided by 140.
51
What is the remainder when 160 is divided by 50?
10
What is the remainder when 142 is divided by 18?
16
What is the remainder when 779 is divided by 141?
74
What is the remainder when 3811 is divided by 317?
7
Calculate the remainder when 476 is divided by 208.
60
Calculate the remainder when 97 is divided by 7.
6
What is the remainder when 243 is divided by 68?
39
What is the remainder when 87 is divided by 41?
5
Calculate the remainder when 1197 is divided by 75.
72
What is the remainder when 894 is divided by 242?
168
What is the remainder when 6114 is divided by 23?
19
What is the remainder when 44 is divided by 35?
9
What is the remainder when 354 is divided by 91?
81
Calculate the remainder when 530 is divided by 134.
128
What is the remainder when 100 is divided by 54?
46
What is the remainder when 1427 is divided by 65?
62
Calculate the remainder when 56 is divided by 17.
5
What is the remainder when 585 is divided by 192?
9
Calculate the remainder when 352 is divided by 8.
0
What is the remainder when 13665 is divided by 21?
15
Calculate the remainder when 68 is divided by 14.
12
Calculate the remainder when 10009 is divided by 28.
13
Calculate the remainder when 158 is divided by 24.
14
What is the remainder when 670 is divided by 24?
22
What is the remainder when 5745 is divided by 82?
5
Calculate the remainder when 494 is divided by 235.
24
What is the remainder when 156 is divided by 79?
77
What is the remainder when 2588 is divided by 118?
110
Calculate the remainder when 2397 is divided by 200.
197
What is the remainder when 16 is divided by 13?
3
Calculate the remainder when 449 is divided by 85.
24
What is the remainder when 86 is divided by 16?
6
Calculate the remainder when 40 is divided by 23.
17
Calculate the remainder when 64 is divided by 24.
16
Calculate the remainder when 1468 is divided by 724.
20
What is the remainder when 810 is divided by 8?
2
Calculate the remainder when 4055 is divided by 39.
38
What is the remainder when 558 is divided by 151?
105
What is the remainder when 19 is divided by 11?
|
{
"pile_set_name": "DM Mathematics"
}
|
earest to -8 in 2, -2.5, 4, 0.5?
-2.5
Which is the closest to -1? (a) 4/9 (b) -0.4 (c) 3452 (d) 0.5
b
What is the nearest to -2/9 in 4, 1, -1/7, -0.5?
-1/7
Which is the nearest to -1? (a) 2/3 (b) 2/9 (c) -0.3
c
Which is the closest to 3? (a) -2/11 (b) -0.119 (c) -0.3
b
What is the closest to -0.2 in 1/3, 0.2, -50, 4?
0.2
Which is the nearest to -0.04? (a) -5 (b) 8 (c) -0.03
c
Which is the closest to 35? (a) -0.5 (b) -4 (c) -0.3 (d) 0.2
d
Which is the nearest to 1? (a) -0.2 (b) 0.8 (c) -11
b
Which is the closest to 7? (a) 2 (b) -2/9 (c) 0.4 (d) -4
a
Which is the nearest to 1/4? (a) -1 (b) 0.1 (c) -16
b
What is the nearest to -2 in 0.5, -2/13, -24, 0.1?
-2/13
Which is the nearest to -0.1? (a) -56 (b) 2 (c) -2/5 (d) -0.2
d
What is the nearest to -46 in 5, 1, -0.2, 0.5?
-0.2
What is the nearest to 5 in -0.5, -0.2, -0.36?
-0.2
What is the nearest to 5 in -1, 34, -0.1?
-0.1
What is the nearest to 0 in 17, 2, -9?
2
Which is the closest to 15? (a) -0.2 (b) -2 (c) -7/4
a
Which is the nearest to -2/7? (a) 2 (b) 14 (c) -1/6
c
What is the nearest to 1/3 in 83, -5, 3, -1/3?
-1/3
What is the closest to 3 in -49, 1, -1?
1
Which is the closest to 2? (a) -98 (b) 1/3 (c) -17
b
Which is the closest to 0? (a) -0.2 (b) -5/9 (c) -0.5
a
What is the closest to 2 in -2.3, -0.4, 4, 0.3?
0.3
What is the closest to -1 in -0.2, -3/4, -1, -6513?
-1
What is the closest to -2 in -1/2, 4, -1/5?
-1/2
What is the closest to -1 in 2, 1/7, 7/2?
1/7
What is the nearest to 0.1 in 34, 2/13, 2/17?
2/17
Which is the closest to -30? (a) 6 (b) 4 (c) 2/11 (d) 0.4
c
What is the nearest to 5.5 in 0.39, -4/3, 4?
4
What is the nearest to 0.7 in 23, 3, -2?
3
Which is the closest to -1/4? (a) 0.042 (b) 0.5 (c) -1/21
c
Which is the nearest to 2/3? (a) 0.2 (b) 1/11 (c) 23
a
Which is the nearest to 3/5? (a) 2.6 (b) -3/2 (c) 0.3 (d) -1
c
What is the closest to -2.8 in -1, 0, 0.11?
-1
Which is the closest to 0? (a) 0.2 (b) 1/3 (c) 1/2 (d) -164
a
Which is the closest to -0.25? (a) -2/7 (b) -2 (c) -59 (d) 3
a
Which is the closest to 1? (a) 0 (b) -209 (c) 1
c
What is the nearest to 2 in 5/6, 1, -41?
1
Which is the nearest to -1/6? (a) 1 (b) -17 (c) 2 (d) 0
d
What is the nearest to -3 in -11/3, 0.48, 3/5?
-11/3
Which is the closest to 0.1? (a) 0.063 (b) 0.5 (c) -1 (d) -3
a
Which is the closest to -0.1? (a) -14 (b) 116 (c) -1/2
c
What is the closest to -1/3 in -4, -3, -1/4, 1/14?
-1/4
Which is the closest to 1/4? (a) -5 (b) 4 (c) -1/2 (d) 0.4
d
Which is the nearest to -29? (a) 0 (b) -4 (c) -1 (d) -0.4
b
Which is the nearest to -1/3? (a) 2.3 (b) 2/9 (c) -5 (d) 9
b
Which is the closest to 0? (a) -1/7 (b) -0.8 (c) -5
a
What is the closest to 0.4 in 0.5, -0.5, -2, -2/17?
0.5
Which is the nearest to -0.1? (a) -1/6 (b) 5 (c) -12 (d) 2
a
What is the closest to 0 in -1, -4, -0.25, -3/4?
-0.25
Which is the nearest to -4? (a) -108 (b) 2/5 (c) -2
c
What is the closest to -2/7 in 0, -288, 2, 0.1?
0
What is the nearest to 0 in -2.3, -0.1, -1?
-0.1
Which is the nearest to -1/5? (a) 2 (b) 0.2 (c) 2/9
b
What is the closest to 3 in 0.2, -9/4, -3?
0.2
What is the closest to -0.3 in -0.5, 0.2, -4, 3?
-0.5
What is the nearest to -1 in -9, 0.1, 0.22?
0.1
Which is the closest to 1/4? (a) 1/2 (b) 3/5 (c) 24 (d) -0.4
a
What is the closest to 16 in -0.5, -0.3, 10?
10
Which is the closest to 8/3? (a) 2/5 (b) 2/11 (c) 1 (d) -0.1
c
What is the closest to 8 in 5, -1, 1, 1/5?
5
What is the closest to 1/38 in 1/8, 2, -4?
1/8
Which is the nearest to 0? (a) -1/2 (b) -7/5 (c) 2/9 (d) 0
d
Which is the nearest to -1/2? (a) 2 (b) -0.9 (c) 5 (d) 3/8
b
Which is the nearest to -1/16? (a) 1/5 (b) 2 (c) 83 (d) 1
a
Which is the closest to -56? (a) -32 (b) 4 (c) 0.5 (d) -3/5
a
Which is the nearest to -0.6? (a) -3 (b) 2 (c) 1
c
Which is the nearest to 1/4? (a) 2 (b) 1 (c) 0.053
c
Which is the closest to -2.7? (a) 2/25 (b) 3/5 (c) 3
a
Which is the closest to 0? (a) -3 (b) 0.2 (c) 4 (d) 0.06
d
What is the closest to 1 in -20, 5, -5?
5
What is the closest to -2/3 in 2/5, 0, -227?
0
What is the closest to -1 in 3/4, 2.2, 1/2?
1/2
Which is the nearest to 1? (a) 0.06 (b) 1 (c) -0.4 (d) 4
b
What is the nearest to 2 in 2, 0.3, 4?
2
What is the closest to -1.1 in 0.8, -1, 10?
-1
What is the closest to 0.2 in -0.3, 1/3, -0.2, 0.22?
0.22
Which is the closest to -879? (a) -2/3 (b) 4 (c) -0.5
a
What is the closest to 0.1 in -0.002, 2/9, -3/4, -4/9?
-0.002
What is the nearest to -0.7 in -24, -1/5, 2/17?
-1/5
Which is the nearest to 1/3? (a) 2 (b) -1/5 (c) 0.07
c
What is the nearest to 1/4 in -3, -4001, -1/11?
-1/11
Which is the nearest to -1? (a) 0.2 (b) 0.3 (c) -2/7 (d) 0.06
c
What is the closest to 0.1 in 4, 5/7, -5?
5/7
Which is the closest to 0.3? (a) 1 (b) 69 (c) -27
a
Which is the nearest to 1? (a) 21/2 (b) -5 (c) -3/5 (d) -0.3
d
What is the nearest to -6.8 in -0.4, -2, 2/5?
-2
Which is the nearest to 2? (a) -1 (b) 2 (c) 0.1
b
Which is the nearest to 24? (a) -0.5 (b) -5 (c) 0 (d) 2
d
Which is the closest to -2? (a) -0.5 (b) -3/8 (c) 1 (d) 0.34
a
What is the closest to 0 in -1/2, -5, -1, -17?
-1/2
Which is the closest to 1? (a) 0.2 (b) -2/617 (c) 4
a
What is the nearest to 1 in 4/3, 0.1, -9/2, -1?
4/3
Which is the nearest to -2/3? (a) -1/10 (b) -5 (c) 3/4 (d) 0
a
Which is the closest to -7/10? (a) 4 (b) 0 (c) -1 (d) 1/5
c
What is the nearest to -13/5 in 0.4, 0.2, 2/33?
2/33
Which is the nearest to -4? (a) -2 (b) 4 (c) 0.5 (d) 3
a
What is the nearest to -0.2 in -0.1, 1, -1.1?
-0.1
What is the nearest to 1 in -3, -1, -14, 0?
0
Which is the nearest to -1? (a) 0.3 (b) -0.1 (c) -341
b
Which is the closest to -1? (a) -1 (b) 5 (c) 0 (d) 6
a
Which is the closest to 1/3? (a) -0.1 (b) 13/3 (c) -19
a
What is the nearest to -3 in 4, -1, 1, -2?
-2
Which is the closest to 24? (a) -2/15 (b) -2/9 (c) 0 (d) 5
d
Which is the closest to -9? (a) -4/3 (b) -8 (c) 1
b
Which is the closest to 0.2? (a) 6/7 (b) 4 (c) -9
a
Which is the closest to 1? (a) -5 (b) 0.3 (c) 5 (d) -0.04
b
What is the nearest to -5 in -2, 1/5, -3?
-3
Which is the closest to -2? (a) 0 (b) 5 (c) 3 (d) -3/8
d
What is the closest to 1/4 in 2, -2/13, -2?
-2/13
What is the nearest to -6 in -1/13, -5, -1/2?
-5
Which is the nearest to -0.1? (a) 5/4 (b) -4 (c) -3 (d) 0.015
d
Which is the nearest to -2/3? (a) -0.2 (b) 153 (c) 2/7
a
Which is the closest to -2/3? (a) 2/11 (b) -0.4 (c) 11
b
Which is the nearest to -1? (a) -2/7 (b) -2 (c) 5/3
a
Which is the closest to -2/7? (a) 455 (b) 4 (c) -2/9 (d) 0.2
c
What is the closest to -1/22 in 4, -5, 5?
4
What is the nearest to -1/4 in 17, 1/6, -2, 3?
1/6
What is the closest to -0.1 in 74, 10, 0.2, 0.1?
0.1
What is the closest to -0.1 in 4, 67/4, 1/4, 5/3?
1/4
What is the closest to 1/3 in 4, 0.3, 2/15, 8?
0.3
What is the nearest to 6 in -0.3, -3, 0, -4?
0
Which is the nearest to 0.3126? (a) 1/5 (b) 0.1 (c) -2
a
What is the closest to -1 in -2/7, -7/58, 1, 4?
-2/7
What is the closest to -10 in -0.4, -0.8, 2?
-0.8
Which is the nearest to 2/19? (a) -1 (b) -5/2 (c) -0.4 (d) -2
c
What is the nearest to -2/3 in 0, 2/11, -3/2, 6/19?
0
What is the closest to 0 in 1, -0.5, 1.2?
-0.5
Which is the closest to -1/4? (a) -1 (b) -2/9 (c) 0.7
b
Which is the nearest to 21? (a) -0.3 (b) 1/15 (c) -3 (d) 1/3
d
What is the nearest to 0 in 0, -0.22, 0.4, 2/15?
0
Which is the closest to 0.29? (a) 5/2 (b) 1 (c) 0 (d) -2/17
c
Which is the closest to -2/9? (a) 1 (b) -0.14 (c) -0.1 (d) 0
b
What is the nearest to 1 in -22, -2, 0.01?
0.01
What is the nearest to 3 in -18, -1/5, -3?
-1/5
Which is the closest to 2/7? (a) -4 (b) -0.01 (c) -0.2 (d) 3/5
b
What is the nearest to 2/3 in 4, -5, 1.4, -1/2?
1.4
Which is the nearest to 2/3? (a) 3/11 (b) -8 (c) 3 (d) -3/7
a
What is the closest to 0.2 in -32, -5, -2?
-2
What is the nearest to -0.1 in -5, 0.3, -1/6, -6?
-1/6
What is the closest to -2 in 3/8, 0.5, -3, -2?
-2
What is the closest to 0.2 in -3, -2, 0?
0
Which is the closest to -4/19? (a) -1 (b) -4 (c) 4
a
What is the closest to -5 in 2/5, 1, 0.05?
0.05
Which is the closest to -1/3? (a) 7 (b) -1 (c) 4 (d) 1/7
d
What is the closest to -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 2*y**2 - 2*y + 3. Let d be t(2). Let f = -2961 + d. Let a = 4298 - f. Round a to the nearest one thousand.
2000
Let p = -4 + -9. Let q = 11.2 + p. Let g = q + 1.7999984. What is g rounded to six dps?
-0.000002
Suppose 0 = -15*l + 10 + 4685. Round l to the nearest ten.
310
Let s = -0.91 + 0.17. Let o = s + 0.7484. Round o to 3 dps.
0.008
Let q = 683 + -702.455. Let m = -0.045 + q. Round m to the nearest integer.
-20
Let v = 2.1 + 143.9. Let i = v + -146.0174. Round i to three dps.
-0.017
Let j(s) = -3*s - 7. Let a be j(-27). Let k = 81 - a. Round k to the nearest 10.
10
Let m = 24.6 + -29.29. Let n = 3.43 - m. Round n to the nearest integer.
8
Let w = -221.2 - -30.2. Let v = w + 121. Let l = 70.00000098 + v. What is l rounded to 7 decimal places?
0.000001
Let u = -274457 + 195322. Let p = u - -45235. What is p rounded to the nearest 1000?
-34000
Let f = -967 + 967.0000445. What is f rounded to five dps?
0.00004
Let p = -0.5 + 0.66. Let g = 0.09 + p. Let f = g + -0.2500038. Round f to 6 dps.
-0.000004
Let t be 12/(-5)*55/(-22) + -2. Suppose 3*n + 263988 = -2*f, -t*f + 5*n + 659980 = -9*f. Round f to the nearest ten thousand.
-130000
Let p = -39.696 + 40. Let w = 0.52 + p. Round w to two decimal places.
0.82
Let v = 30.3 - 32. Let z = v - -1.7074. What is z rounded to 3 decimal places?
0.007
Let a = 93.000381 - 93. What is a rounded to 4 decimal places?
0.0004
Let i = 282 - 290.9. What is i rounded to the nearest 10?
-10
Let i = -292 - -292.0000611. Round i to five dps.
0.00006
Let a = -39300207405 + 39300574599.00186. Let g = a + -367191. Let i = 3 - g. What is i rounded to four decimal places?
-0.0019
Let j = -0.098 - -0.059. Let y = j + 0.03900055. What is y rounded to six dps?
0.000001
Let n = -11695.1 - 42710.9. Let o = 54405.946902 + n. Let m = 0.053 + o. Round m to five dps.
-0.0001
Let u = 0.09 + -0.045. Let v = u + -6.245. Round v to the nearest integer.
-6
Let h = -1275132.400004 + 1275135. Let p = -2.6 + h. Round p to 5 decimal places.
0
Let o = 1723114 - 1723157.00115. Let v = -228 - -185. Let n = o - v. Round n to 4 decimal places.
-0.0012
Suppose -5*c + 22033163 = -4074802. Suppose 0 = p + 1021593 - c. Round p to the nearest 1000000.
4000000
Let m = -0.07 + -5.08. Let c = 0.15 + m. Let n = c - -5.00000001. What is n rounded to 7 dps?
0
Let s(f) = 3*f**3 - f**2 - 6*f + 11. Let n be s(10). Let y = n - 1484. Suppose 0 = -r + h + y, -4*r = 2*h - 2743 - 2743. Round r to the nearest one hundred.
1400
Let x = -4347.6339 - -4348. Round x to 2 dps.
0.37
Let p(m) = 3683331*m - 14. Suppose 0 = -5*d - 4*z - 36, 5*d = 3*z - 4 - 4. Let c be (-2)/((d/(-12))/1). Let y be p(c). What is y rounded to the nearest 1000000?
-22000000
Let v be (-60*30/9)/((-3)/89850). Round v to the nearest one million.
6000000
Let r be 856400*((-65)/(-39))/((-5)/150). What is r rounded to the nearest 1000000?
-43000000
Let h = 69.6 - 69.6337. Round h to three decimal places.
-0.034
Let x = 5813.01 - 249182.01. Let q = x + 243510.057. Let d = q - 141. Round d to 2 decimal places.
0.06
Let a = 41837 + -41833.89976. Let c = a + -3.1. What is c rounded to 4 dps?
0.0002
Let u = -431 - -661. Round u to the nearest 100.
200
Let c = -4255 + 10756. Let v = c - 4102. Suppose 2*i - 301 = v. What is i rounded to the nearest one hundred?
1400
Let n = -0.0256 - -0.024898. What is n rounded to five dps?
-0.0007
Let o(s) = 38512*s - 2. Let g be (1 + 1)/((-10)/(-25)). Let f be o(g). Let c = -122558 + f. Round c to the nearest ten thousand.
70000
Let b = 1991 - 1914.82. Let s = b + -77. Round s to one dp.
-0.8
Let l(h) = 2*h. Let d be l(2). Let p be -7 + d - (-1 - 4). Suppose 25 + 23 = p*i. What is i rounded to the nearest 10?
20
Suppose 0 = 2*g + 5*g + 685398. Let q = g + 55914. Round q to the nearest 100000.
0
Let k = -916 + 926.78. What is k rounded to 0 decimal places?
11
Let z = -395319810.500879 - -395321641.5. Let o = z - 1831. What is o rounded to four dps?
-0.0009
Let l = -3122.546 + 3120. Round l to 1 dp.
-2.5
Let d = 1535171 - 442840. Suppose d = 4*r - 83669. Round r to the nearest 10000.
290000
Suppose 2*f - 2 = 0, -177409 = -3*t + 2*f + 422595. Suppose 4*a + i = -399998, 0 = 2*a - 5*i + 4*i + t. What is a rounded to the nearest ten thousand?
-100000
Let g(f) = -f**3 - 23*f**2 - 5*f + 7. Let k be g(-23). Suppose -k*s = -120*s - 34800000. What is s rounded to the nearest 1000000?
17000000
Let c = 3.2165 - 3.2. Round c to two decimal places.
0.02
Let r = 724084375 - 724084339.99999966. Let h = r + -35. Round h to 7 decimal places.
0.0000003
Let s = 1228203 - 207361. Suppose 2119157 + s = -2*v + t, 3*v + 4709999 = t. What is v rounded to the nearest 100000?
-1600000
Let x = -4.69 - -4.6651. Round x to 2 dps.
-0.02
Let d = 23379040 + -23379049.0000045. Let y = d + 9. What is y rounded to 6 dps?
-0.000005
Let p = 8101 + -1391. Round p to the nearest 100.
6700
Let g = -491231 + 491194.8837. Let a = -36.1 - g. What is a rounded to three dps?
0.016
Let k = 396 + -396.000433. Round k to five dps.
-0.00043
Let f = -8 - -10. Let u be (-1416)/(-9)*(f + 1). Let j = 212 - u. What is j rounded to the nearest 100?
-300
Let p = -0.95605898 - 148.7619959. Let d = p + -3.28187412. Let f = -153 - d. Round f to five decimal places.
-0.00007
Let a = 102.86 - 103. Let j = a + 0.1184. Round j to 3 decimal places.
-0.022
Let w = -0.06 - -0.092. Let i = 1770442.03199796 - 1770442. Let h = w - i. Round h to seven dps.
0.000002
Let j = -193 - -194.27. Let w = 82.27 - j. Let r = w - 80.43. Round r to one dp.
0.6
Suppose 9*l + 1 + 188 = 0. Suppose -3*h = -65 - 19. Let i be (-240800004)/h - 3/l. Round i to the nearest one million.
-9000000
Let q = 141.47 - -1.53. Let w = q - 143.00153. What is w rounded to 4 decimal places?
-0.0015
Suppose 5*k - 5*j = -2*j + 30, 4*k + 3 = -3*j. Suppose k*f - 19 = 5. Suppose f*u + 36 = -4. What is u rounded to the nearest ten?
-10
Let r = -0.0584 - -0.05621. What is r rounded to 4 dps?
-0.0022
Let d = 0.38859 - 0.395. Round d to three dps.
-0.006
Let b = 0.1526 - 1.6386. What is b rounded to one decimal place?
-1.5
Suppose p = -179654 + 38854. What is p rounded to the nearest ten thousand?
-140000
Let w(i) be the second derivative of -145*i**3/6 + 3*i**2/2 + 5*i. Let a be w(-4). Suppose -a = -3*j + 317. What is j rounded to the nearest 1000?
0
Let i(w) = w**2 - 11*w + 12. Let a be i(10). Suppose -2*x - a*x = -f + 18003, 0 = 4*x - 2*f + 17998. Let d be 12/18 + x/3. Round d to the nearest 1000.
-2000
Let u be (-69)/46 + (6413985/(-6) - 1). Round u to the nearest 100000.
-1100000
Let o be (1 - 4492)/(3/(-2505)). Suppose 0 = -127*x + 95*x + 47999616. Suppose 4*i + x = -2*l, -5*l = 4*i + i + o. Round l to the nearest one hundred thousand.
-800000
Let r = -39.1999619 + 39.2. What is r rounded to six decimal places?
0.000038
Let b = -2267.001367 + 2267. Round b to 5 dps.
-0.00137
Let j = -956440.7853 + -70.2147. Let i = j + 956511.2000019. Let p = 0.2 - i. Round p to six dps.
-0.000002
Let k = 152760.5099 + -152884.5. Let p = 124 + k. Round p to 3 dps.
0.01
Suppose -3*r = -4*z + 4*r + 8403, 4*z - 8391 = -5*r. What is z rounded to the nearest one thousand?
2000
Let j = -209321.154768 - -209319. Let t = j - -4.4547. Let u = t + -2.3. What is u rounded to 5 decimal places?
-0.00007
Let r = -757 - 1128. Let j = r - -3585. What is j rounded to the nearest one thousand?
2000
Let o = -2.7199002 - -2.72. Round o to 5 dps.
0.0001
Let t = 1854 - 1869.82. Let y = t + 15.821021. What is y rounded to 4 dps?
0.001
Let k = 54750.3837 - 13534.0368. Let o = 41239 - k. Let a = 0.0469 + o. What is a rounded to the nearest integer?
23
Let p = -3122607495.9999554 - -3122606998. Let n = 498 + p. Round n to six dps.
0.000045
Let q = 0 - -2. Let s be -259351 - (18/3 - q). Let b = s - -68355. Round b to the nearest 10000.
-190000
Let z = -207109614465 - -207109612619.00001558. Let g = 1846 + z. Round g to six decimal places.
0.000016
Let h = -209476347 + 209476335.39999865. Let z = -11.6 - h. Round z to seven dps.
0.0000014
Let y = -6.597 - 0.003. Let m = 3.5 + y. What is m rounded to the nearest 10?
0
Let h = 1 - -4. Suppose 0 = x - 3*w - 5, 2*x + h*w = -0 - 1. Suppose -x*m = -0*m - 3800. Round m to the nearest one hundred.
1900
Suppose 46868 = 3*a + 10559. Suppose 2*x - 16385 = 22621. Let c =
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*p - 50. What is the lowest common multiple of 2022 and t?
10110
Let c = 23 + -14. Suppose 3*f - 2*k - 12 = c, f + 2*k = 15. Let p = 10 - f. What is the least common multiple of 9 and p?
9
Let m(i) = -i**2 - 77*i - 596. Calculate the smallest common multiple of 2392 and m(-9).
4784
Suppose 2*q = -707 + 755. What is the lowest common multiple of q and 524?
3144
Let b = -1340 - -1370. Calculate the least common multiple of b and 1/(0 - -1) + 39.
120
Let q = 1421 - 653. What is the smallest common multiple of 288 and q?
2304
Suppose -2*c + 4*q = 2416, -2*c = 2*c + 3*q + 4854. Let v = c - -10886/9. What is the common denominator of v and 28/117?
117
Let j(l) = -l**3 + 15*l**2 - 13*l - 4. Suppose -3*x - 4*u = -u - 30, 0 = x - 5*u - 34. Calculate the least common multiple of 692 and j(x).
3460
Suppose -2*z = 0, 2834 = -5*y - z + 7994. Calculate the least common multiple of y and 42.
7224
Let p = -4271/54 + 503/6. Let y = p - 1504/135. Find the common denominator of (-2)/(-3) + (-130)/(-15) and y.
15
Let d(k) = -133*k - 924. Let x(h) = -h**2 - 4*h + 5. Let b be x(-4). Suppose -b*t + 0*t + 15 = 0. Calculate the lowest common multiple of t and d(-7).
21
Suppose 55*n + 54 = 37*n. What is the common denominator of (n*17*4/184)/9 and 6/7?
966
Let u = 14859 + -14805. Let o = -10 + 22. What is the least common multiple of u and o?
108
Let f = -16970331/40 + 424260. Let l = -7/1039 + 63645/39482. Find the common denominator of f and l.
760
Suppose -4*u = -2*t + 98, 2*u + 1 + 99 = 2*t. Let o = 109 + t. Let v = 113 + -105. Calculate the least common multiple of v and o.
160
Let z be ((-2)/40)/(66/(-895312)). Let o = -680 + z. Find the common denominator of ((-362)/18)/(20/6) and o.
30
Suppose -155*y + 18*y = -16*y - 65219. What is the least common multiple of y and 6?
3234
Let g be 1*(-12)/9*21/(-14). Suppose -5*d + 312 = 3*l, 7*l = d + g*l - 40. Calculate the lowest common multiple of 12 and d.
60
Find the common denominator of 63/20 and (-951)/32334*(0 + 3/(-4)).
680
Let h = 1 - -13. Let m = -11957 - -12119. What is the least common multiple of h and m?
1134
Suppose -97 + 16 = -3*c. Let o = -23 + c. Suppose o*s - 15 = 3*r, 2*r - 15 = -3*r. What is the smallest common multiple of s and 10?
30
Let q = -805 - -2375. What is the least common multiple of 90 and q?
14130
Calculate the smallest common multiple of (-4)/(-14 - (-4398)/315) and 294.
1470
Suppose -9*y - 3675 = -16*y. Suppose -12*n + y = 3*n. Calculate the lowest common multiple of 55 and n.
385
Suppose s + 20 = -2*q, -2*q + 4*s = -q + 10. Let x be (1/q)/((-6)/(-3594)). Let b = -306/5 - x. What is the common denominator of 83/34 and b?
170
Suppose -182 = -4*g + 130. Suppose -3462*c + 3467*c - 148 - 2 = 0. What is the lowest common multiple of g and c?
390
Calculate the common denominator of 35/9 and 3/(2430/(-168)) + 6 + (-26)/5.
27
Let u(k) = -138*k + 4. Suppose 3*q - 7*q + 26 = 3*i, -3*i - 14 = -4*q. Calculate the lowest common multiple of q and u(-1).
710
Let j = -38632 - -44420. What is the lowest common multiple of j and 4?
5788
Let r = 7847/780 + -401/40. What is the common denominator of -133/72 and r?
936
Let f = 10102 - 727385/72. What is the common denominator of f and -2 + (-104)/(-27) - 1?
216
Let d = -10202 + 10676. What is the lowest common multiple of d and 158?
474
Let a be 5 - (2/1 - -3). Let d be (-19 + a)/(5/5) + -1. Let q = 41 + d. Calculate the least common multiple of q and 6.
42
Let m = -76 + 66. Calculate the common denominator of (-708)/360 - (-2)/m and 91/12.
12
Let i = -27 - -29. Suppose 2*s + 5*b + 10 = 7*s, i*b - 6 = -3*s. What is the common denominator of 57/44 and s/64*(-1608)/18?
264
Let i(d) = d**3 + 15*d**2 + 9*d + 7. Let f be i(-7). Suppose -f + 2100 = 14*m. Calculate the least common multiple of 126 and m.
126
Let n(g) = -2*g**2 - 51*g + 107. Calculate the lowest common multiple of n(-25) and (-3 + 0 - (-1 - 1)) + 13.
132
Let a = -305 - -2663. What is the least common multiple of 51 and a?
40086
Let i = 24664285940981/6606 + -3733618815. Let y = 66/367 + i. Find the common denominator of 61/3 and y.
18
Suppose 2*w + 15*v - 18*v - 39 = 0, 0 = -5*w + v + 65. What is the least common multiple of 48 and w?
48
Suppose 35*o - 15732 = 8*o + 6543. Calculate the lowest common multiple of 9 and o.
2475
Let a be 5 + ((-20)/6)/((-609)/(-882)). Let d = a - -2044/87. Find the common denominator of 0 - (66/(-14) + 0) and d.
21
Let n = -2923 - -2933. Let k = 7 - 3. Let m = n - k. Calculate the lowest common multiple of m and 6.
6
Suppose -w = -6*w + 140. Let s = 930 - 833. Suppose 9*j - 223 = -s. Calculate the lowest common multiple of w and j.
28
Let m = -134 + 142. Suppose m + 42 = 4*i - v, -v = 2. Suppose i = -3*f + 5*f. Calculate the lowest common multiple of 2 and f.
6
Let m be (6 - 3)*3/(-9). Let u be (-3497)/(-36) + m + 23/69. Let k = 377/4 - u. Find the common denominator of k and 8/13.
117
Let s = 34504100503331/7508 - 4595644689. Let i be 1/1877*(-26 + 25). Let a = s + i. Calculate the common denominator of a and 1/2.
4
Let n be 4 - (7 - 3) - -15. Suppose 0*y - n = -l + y, 5*l + 5*y - 85 = 0. What is the smallest common multiple of l and 112?
112
Let q = 176071/16 + -11000. Find the common denominator of q and (114/(-380))/(1044/(-2670)).
464
Let x = -206 - -461. Suppose 0 = 24*l - 51*l + 162. What is the least common multiple of l and x?
510
Let t(b) = 244*b - 69. Let i be t(-3). Calculate the common denominator of (3/(-14))/((-135)/i) and 58/63.
630
Let o be -8*(-1)/2 + 3 + -1. What is the smallest common multiple of 2*(15/o + -2)*30 and 10?
30
Suppose 62 = -8*m - 178. Let v = -40 + m. Let x = 71 + v. What is the lowest common multiple of x and 7?
7
Let p = -5325 - -5517. Calculate the least common multiple of p and 9.
576
Suppose -4*g - 5*f = -93, 2*f - 107 = -5*g + 5*f. Suppose -11*d = 1688 - 5285. Suppose -5*c + 73 + d = 0. Calculate the lowest common multiple of g and c.
880
Let c = 497/690 - -2/1035. Let r(m) = -1234*m**2 + 2*m - 10. Let z be r(4). Let v = 789899/40 + z. What is the common denominator of c and v?
360
Let f = 1431 - 1255. What is the smallest common multiple of 220 and f?
880
Suppose -434 = -2*w - 0*o - 4*o, -3*w + 649 = 4*o. Let x = 243 - w. Find the common denominator of x and -61/68.
68
Let x = -10454 + 10530. Calculate the least common multiple of x and 44.
836
Let s(w) = 3*w + 48. Let f be s(-16). Suppose 3*z + 2*l = 7*z - 14, f = z - l - 5. Calculate the lowest common multiple of 9 and z.
18
What is the least common multiple of ((-1480)/(-24) - -2)*((-21)/7 - -9) and 16?
3056
Let w be ((-4)/(1080/(-144366)))/(2/(-5)). Let r = -1336 - w. Let q = 837665/28 + -29920. What is the common denominator of r and q?
252
Suppose 4*l = 19611 + 1977. Let i = l - 53923/10. Calculate the common denominator of i and -19/20.
20
Let s be (2/(-464))/(155/240622). Let j = 101/58 + s. Find the common denominator of (-1)/3 - (-537)/234 and j.
260
Suppose 5*t + 2*z = 0, 0*t - 4*t = -z. Let u(x) = -2*x + t*x - 2*x - 7*x. Calculate the smallest common multiple of u(-2) and 20.
220
Let p = -11945537 + 238989983/20. Let s = -3964 + p. Let r = -2424/5 + 28333/60. What is the common denominator of r and s?
60
Let u = 1649 - 103892/63. Let t = u - 1157/504. Calculate the common denominator of t and 67/4.
8
Suppose -h + 3*s = -0*h - 1, 0 = -2*h - s + 16. Let n be (-67216)/h + 18/63. Let c = n + 249615/26. Find the common denominator of -127/6 and c.
78
Suppose 7*u - 280 + 210 = 0. Let p(b) = b**3 - 15*b**2 - 15*b - 17. Let y be p(16). Calculate the smallest common multiple of ((-21)/14)/(y/6) and u.
90
Calculate the common denominator of -81/16 and 217935/804228 + (-2)/8.
36976
Let s = 7549 - 7532. Let z = 21 - 14. What is the lowest common multiple of z and s?
119
Let d(i) = i**3 - 38*i**2 - 74*i - 220. Calculate the lowest common multiple of 1015 and d(40).
4060
Let p = 5243/12 + -436. Calculate the common denominator of ((-208)/96)/((-92)/(-2)) and p.
276
Suppose 3*m - 397 + 149 = -2*x, -5*m + 396 = -x. Suppose 0 = 10302*u - 10297*u - 10, n = 7*u + 66. Calculate the smallest common multiple of m and n.
80
Let d be 0/((-6)/3)*-1. What is the lowest common multiple of 24*((-1)/(-2) - d) and (-1)/(-1)*1 + (160 - 143)?
36
Let l be (48/112 - (-142)/(-70))*10. What is t
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{
"pile_set_name": "DM Mathematics"
}
|
fourth biggest value? (a) -887 (b) 8/17 (c) 0.05 (d) -8
a
What is the seventh biggest value in -0.03, -5, 5/2, 11, -20, 3, 4?
-20
Which is the second smallest value? (a) 15791 (b) 1 (c) 108
c
What is the smallest value in -0.23, -5344/9, -3, -26?
-5344/9
Which is the fourth biggest value? (a) 2 (b) 1/3 (c) -0.06 (d) 2/9 (e) -3310 (f) 4/3
d
What is the third biggest value in -5, 0, -1/3, 2, 1/81, 798, -0.5?
1/81
What is the fifth biggest value in 20054, -3, 1, -2/9, 0.59?
-3
Which is the third smallest value? (a) -72 (b) 1/5 (c) -0.215 (d) 10
b
What is the biggest value in 0.3, -1, -2/13, -607, -2, -2/7, 7?
7
Which is the second smallest value? (a) -0.29295 (b) 6 (c) -0.17
c
What is the fourth biggest value in -0.4, -742/135, -2, -1/9?
-742/135
Which is the fifth smallest value? (a) 15.6533 (b) 3/10 (c) 2/5 (d) -5 (e) -3
a
What is the biggest value in -0.4, 61.12, 73.4, 0.4, 0.03?
73.4
Which is the fourth smallest value? (a) 4/3 (b) -3 (c) -6/3545 (d) 8
d
Which is the fourth smallest value? (a) -0.001 (b) -0.15 (c) -1/5 (d) 2.73 (e) 0.3 (f) 2
e
What is the second biggest value in -433, -4, 2, -0.4, 0.1, -8/13?
0.1
Which is the second biggest value? (a) 3 (b) 330 (c) 395 (d) -3/5 (e) -0.4 (f) 0 (g) 0.3
b
Which is the biggest value? (a) 1 (b) 83783 (c) -151 (d) 7
b
What is the third smallest value in 5/6, -69662, 19.99?
19.99
Which is the sixth smallest value? (a) 35 (b) -4 (c) -280 (d) 48 (e) 0.2 (f) 1
d
Which is the biggest value? (a) 0.0017 (b) -0.21 (c) -64 (d) 4 (e) 2/3 (f) 1/7
d
Which is the second biggest value? (a) -314 (b) 1 (c) -0.4 (d) -1/3 (e) 2/10313
e
Which is the fifth smallest value? (a) -0.4 (b) 4 (c) 55 (d) 1491 (e) 4/3 (f) -4
c
What is the third smallest value in -21/13, 1135.41, 0?
1135.41
Which is the fourth smallest value? (a) 3 (b) -9260 (c) 176 (d) 9/10
c
What is the second smallest value in -39.65, -1/8, 6, -4?
-4
Which is the fifth smallest value? (a) -702.6 (b) -32/5 (c) 14.9 (d) 4 (e) 1/4
c
Which is the third smallest value? (a) 97116.6 (b) -0.3 (c) -1 (d) 2/195 (e) 0.4
d
Which is the third biggest value? (a) 0.9 (b) -14/13 (c) 2 (d) -0.23
d
What is the second biggest value in -3/2, 9361/1821, 0.2?
0.2
Which is the second biggest value? (a) -0.234 (b) -5 (c) -37 (d) -0.7 (e) 1 (f) -73
a
Which is the second biggest value? (a) -0.05 (b) -0.5 (c) -13 (d) -3/2 (e) -0.0677
e
What is the third biggest value in -6, 18/170267, 0.1?
-6
Which is the seventh smallest value? (a) -3 (b) 2/7 (c) 0.5 (d) 74 (e) -23.5 (f) -0.3 (g) 118
g
Which is the third smallest value? (a) 5 (b) 3 (c) 4 (d) 5769626
a
What is the third biggest value in -3, -0.167, -1, 19, 5, -0.4?
-0.167
What is the smallest value in 2, 8.87, -5, -0.5, -2/787, -0.02, 0.4?
-5
Which is the fourth smallest value? (a) 17 (b) 0.3 (c) 146 (d) -3732
c
Which is the smallest value? (a) 6053017 (b) -3/2 (c) -1
b
What is the fifth biggest value in -0.04, -0.6, -604/19, 0.09, 5?
-604/19
What is the second smallest value in -14, 0.2, -0.036, 5/3, -0.4?
-0.4
Which is the third biggest value? (a) -0.18 (b) -1/2 (c) -4689107
c
What is the second biggest value in 0.321, 3, -2, 2, 4.4, -1?
3
What is the smallest value in 156, -1/4, 3, 2/23, 7586?
-1/4
Which is the biggest value? (a) 71 (b) 2 (c) -2 (d) -1/6 (e) 8 (f) -20
a
What is the second smallest value in 2833, 3/2, 2258?
2258
What is the second biggest value in -2/5, 148/35, -394.7?
-2/5
Which is the smallest value? (a) 1/5 (b) -0.309 (c) -39.97
c
What is the smallest value in 0, -2, -1/7, -9/5, -913, -5, 0.5?
-913
Which is the smallest value? (a) 1/6 (b) 31404 (c) -601
c
What is the third smallest value in -653, -1243, -5/3, 3?
-5/3
Which is the fourth smallest value? (a) 2/13 (b) 0.4 (c) 0.1 (d) 0.2 (e) 58 (f) -1
d
Which is the biggest value? (a) 12 (b) -4 (c) -0.06538972 (d) 2
a
What is the third smallest value in -6, 1, 2/35, 4193?
1
Which is the third smallest value? (a) 5 (b) -0.4 (c) 87 (d) -0.02 (e) -137
d
What is the fourth smallest value in 231, 2/265, -1/4, 0.1, -3, -5, -12?
-1/4
Which is the fourth smallest value? (a) 1/3 (b) 2/13 (c) -5 (d) -11/2 (e) -2/31 (f) -261
e
Which is the third biggest value? (a) 6 (b) 224 (c) 0.5 (d) 1.1745 (e) -0.3
d
What is the third smallest value in -0.2, 304, 0.06, 4, -5, -0.3?
-0.2
Which is the second smallest value? (a) 7905273 (b) 0.3 (c) -2
b
What is the second biggest value in 0.032, 5.33, 17, -0.2?
5.33
What is the fourth biggest value in -74/17, -4/7, 7/3, 0.66, -2?
-2
What is the fourth biggest value in 0.73, 0.02, 0.4, -5, -0.4, 463?
0.02
What is the seventh smallest value in -14/31, 0, 2/5, 3/8, -0.1, 8.3, 6?
8.3
Which is the third biggest value? (a) 1.002 (b) -4 (c) -0.1 (d) 1.999
c
Which is the fourth biggest value? (a) 0.258 (b) -15 (c) 2.5 (d) 2/3 (e) 13
a
Which is the third smallest value? (a) -272019 (b) 8 (c) 2/9 (d) -0.4 (e) -2/13 (f) 5
e
What is the fifth smallest value in 0.5, -163, 2, 62, -2, -5/9?
2
Which is the biggest value? (a) -20 (b) 0.5 (c) -0.1 (d) 0.3 (e) -2163
b
Which is the second biggest value? (a) 5/4 (b) -0.2 (c) -1/9 (d) -1/3 (e) -1600
c
Which is the third biggest value? (a) -2/139 (b) -6 (c) 98.3 (d) 2/9 (e) 5 (f) 1/5
d
What is the biggest value in 1173, -2/3, 0.5, 0.2, 114?
1173
What is the third smallest value in 0, -2/75473, -0.4, -0.95?
-2/75473
Which is the fifth biggest value? (a) 1 (b) 1/2 (c) 163 (d) -17 (e) 0
d
Which is the fifth biggest value? (a) 4 (b) 30/313 (c) -2/5 (d) 0.042 (e) -5 (f) -4
f
What is the smallest value in -2/655, 1, -2/77, -47?
-47
What is the third smallest value in 3, 11, -1/3, 0.64, -2/4707?
0.64
What is the smallest value in 0.03, 21.562, 2/33?
0.03
What is the second biggest value in -0.1029, 0.2, -3372?
-0.1029
What is the second smallest value in -405, -1/3, 22, -55/123?
-55/123
Which is the fifth biggest value? (a) -18 (b) -16/11 (c) 3 (d) -0.13 (e) 0.2
a
Which is the smallest value? (a) 3 (b) -18.6 (c) 0.116 (d) 130 (e) 1/6
b
What is the second biggest value in 3, 29, 3/4, -0.5, -1/8, -3, 2/7?
3
Which is the third biggest value? (a) -56 (b) 18 (c) -7 (d) -5 (e) -0.3 (f) 0.04
e
Which is the smallest value? (a) -12 (b) -460 (c) -1 (d) -366
b
What is the second biggest value in -2/3, 1341/10, -0.2?
-0.2
What is the second biggest value in -4, 250/9, 0.1, -1.2?
0.1
Which is the third smallest value? (a) 54 (b) -2.8 (c) -4/9 (d) 3/14
d
What is the fourth biggest value in 0.4, 1/8, 3/25, 2/3, -0.04197?
3/25
Which is the third biggest value? (a) 1/31 (b) -0.030996 (c) -2/7
c
Which is the third smallest value? (a) -0.4 (b) 0 (c) -63289 (d) 2 (e) 1/15
b
What is the second biggest value in -2566194, 0.3, 0.4, 1?
0.4
Which is the smallest value? (a) -1.1141 (b) 1/149 (c) 1/5
a
Which is the second biggest value? (a) -19 (b) -4 (c) 7/2 (d) -11390/11 (e) -3
e
Which is the biggest value? (a) 1056.9 (b) -0.1 (c) 2/3 (d) 2/9 (e) 0.0615
a
Which is the fourth biggest value? (a) 1 (b) -0.14 (c) -1 (d) -49.9 (e) -52
d
What is the third biggest value in -6.02, 1160, 1/2?
-6.02
What is the fourth smallest value in -9/7, 4, 0.1, -3470, 5, -5, 1/6?
0.1
Which is the sixth smallest value? (a) -0.4 (b) 4 (c) -1/343 (d) 1.147 (e) -1 (f) -16
b
Which is the fourth biggest value? (a) 0.3 (b) -3/10 (c) -17 (d) -4 (e) 0.1
d
What is the biggest value in -0.5895435, -0.5, 0.5, -0.2?
0.5
What is the biggest value in 21, -2/5, -953, -4, -3.5, 19?
21
Which is the fourth smallest value? (a) 1/6 (b) -367.5 (c) 194/5 (d) 4
c
What is the third smallest value in 2, -2/25, 11, -3, 0.348, 6.1, -0.5?
-2/25
Which is the third smallest value? (a) 3118 (b) 1/9088 (c) 4
a
What is the second biggest value in -15, -14577, 3?
-15
Which is the second smallest value? (a) -2/5 (b) 0.4 (c) 50/37 (d) 237
b
What is the fourth biggest value in 0.2, 0.059, -2/7, -1/18, 141, 6?
0.059
What is the fourth smallest value in 0.07, -2/9, 0.8, -261, 1, -2/7, 1/150?
1/150
What is the third biggest value in -0.1, -355, 104634?
-355
Which is the third smallest value? (a) -3/4 (b) 520703423 (c) 0.2
b
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
c
Let i be 1*(-10 - -19)*(0 + 1). Suppose 5*g - 20 = 4*v, -6*v + i*v + g = -15. Let w = -0.5 - -4.5. Which is the second biggest value? (a) w (b) 7/5 (c) v
b
Let y = -32 - -65/2. Let j = -464.7 + 461.7. What is the biggest value in 1/5, y, j?
y
Suppose 4*b = 5*p + 14, 3*p - 10*b + 7 = -9*b. Let s = 4.02 + -0.02. Let r = s + 1. What is the smallest value in p, r, 1.2?
p
Suppose 11768 = 18*q + 11678. Which is the biggest value? (a) q (b) 16 (c) -27
b
Let w = 8 + 11. Let i = w - 19.5. Let g = -127.2 + 125. What is the third biggest value in -4, i, g?
-4
Let z be 2/48*-10702 - (-21)/(-28). Let h = -444 - z. What is the smallest value in 2/7, 5, 0.4, h?
2/7
Let y(l) = l**2 - 31*l - 4316. Let f be y(83). Let t = 4.98 - -0.02. Let d = 0.3 - 1.3. What is the fourth biggest value in t, -0.4, f, d?
d
Let s be (-10)/175 + -2 + 1496/700. Which is the third biggest value? (a) s (b) 3/2 (c) 9 (d) 5 (e) 1/14
b
Let l = -62 - -57. Let j = -2 - -6. Let s = -33 - -23. What is the second smallest value in -3, l, s, j?
l
Let l = -13/1006 + 250262/1509. Which is the third biggest value? (a) l (b) -1 (c) 1
b
Let f = 22360751/13224035 + -2/240437. Let n = f - 23/11. What is the third smallest value in n, -3, -2, -0.3?
n
Suppose v + 6*u = 12*u + 16, -2*v = 4*u. Which is the second biggest value? (a) -3 (b) -0.02 (c) -0.5 (d) v (e) 0.5
e
Suppose p - 5*i = -22, 2*p + 2*i = -0*i + 16. Let j = -52 + 47. Let f = -82 + 80. Which is the smallest value? (a) j (b) f (c) p (d) -0.2
a
Let y = -0.2421 - -0.423. Let z = -0.0191 - y. What is the second smallest value in 1/5, 0.9, z?
1/5
Let z = -4153 + 4098.93. Let j = z - -54. Let i = -26 + 51/2. Which is the biggest value? (a) 4 (b) i (c) j (d) -0.3
a
Let f = -259 - -179. Let n = f - -236/3. Which is the third smallest value? (a) 7 (b) 3/2 (c) n
a
Let d = 0.7574 + -0.4574. What is the fourth biggest value in -1.4, -17, -4, d?
-17
Let r = -5.1 - -5.4. Let t = 219 - 200. What is the third biggest value in 3, r, t?
r
Let h = -14 - -17. Let s = -0.4207 + 0.0027. Let y = -0.018 - s. Which is the smallest value? (a) -41 (b) y (c) 0 (d) h
a
Let z = -15190 - -15190.1. Which is the fourth biggest value? (a) -4 (b) z (c) 6 (d) 4 (e) -0.1
e
Suppose 0 = -13*u - 194 - 118. Let i be (-9)/u + (-279)/360. Which is the second smallest value? (a) i (b) -35 (c) 1/4
a
Let n(f) = -1282*f + 7694. Let h be n(6). Which is the fifth biggest value? (a) -0.4 (b) -0.5 (c) -0.2 (d) h (e) -1/7
b
Let o = 5358 - 5358.2. Which is the second biggest value? (a) -58 (b) o (c) -4 (d) 1/2 (e) 0.4
e
Suppose 6*c - 3084 = 3*y + 3*c, 2*y + 2*c = -2060. Let x be (y/(-12))/7 - 57/(-76). What is the second smallest value in 1/5, -2/9, x?
1/5
Let s = -8890 + 8885.919. Let m = -0.081 - s. Let k = -2.2 + 2.8. Which is the third smallest value? (a) 0.3 (b) k (c) m
c
Let b = 0.2427 + 4.7573. Let o = -0.4 - -0.6. What is the second biggest value in b, -4, o, -4/7?
o
Let j = 3.5 - -6.5. Let r = 8 - j. What is the second smallest value in r, 17.5, 2/13?
2/13
Let v = -25723 - -25521. What is the second smallest value in 1/9, v, 1?
1/9
Let k = -2/67 + 75/268. Let f = -1.737 - -6.737. Which is the third biggest value? (a) 2/7 (b) f (c) k
c
Let m = 474 - 473.9. What is the biggest value in -1/5, -2, -3, m, 0?
m
Let u = -1 - -2/3. Let s(f) = -3*f - 39. Let c be s(-17). Suppose -4*y - 4*h + c = 0, 5*y - y = -5*h + 12. What is the biggest value in u, 0, y?
y
Let s = 4.923 - -0.077. Let b = 218 + -652/3. Let u = 0.6 - -0.4. What is the second smallest value in s, b, u, -6?
b
Suppose -260 = 85*h - 20*h. Let w = -226.95 - -227. Which is the second smallest value? (a) h (b) w (c) -1/13
c
Suppose -26*y - 166*y = 308 + 268. Let k = -0.07 - 6.93. Let j = -3 + 1. What is the second biggest value in -2/7, j, k, y?
j
Let k = 76 + -226/3. Let w = -1.01 - -0.972. Let z = w - 0.462. What is the biggest value in k, 5, z, 1/4?
5
Let c = 2 - 1. Let s be 52/210 - 140/105. Let u = s + 18/35. What is the second biggest value in 0.4, u, c?
0.4
Suppose -2*s + 32*i - 31*i - 6 = 0, -4*s - 18 = -5*i. What is the smallest value in -2/597, s, -4, 4?
-4
Suppose -27*y - 105 - 84 = 0. Let z = 45 - 44. Suppose l + z = -1. What is the second biggest value in 3, y, l, 1?
1
Let n = 3815 + -3771. Which is the third smallest value? (a) -5 (b) 0.5 (c) -4 (d) n (e) -22
c
Let p = -44 - -42. Let m = 3.41 + -6.41. What is the fourth smallest value in -5, m, p, 22?
22
Let m = -2471 - -2483. What is the second biggest value in m, -50, 3/8?
3/8
Let l be 1143/3048*8/1. Let o = -10 - -6. Which is the smallest value? (a) 6 (b) l (c) o
c
Suppose -9*w = -7*w - 24. Let h be ((-4)/(-6))/(4/w) + -4. Let r be ((-1)/8*h)/1. Which is the fourth biggest value? (a) -5 (b) -6 (c) r (d) -1
b
Suppose 7*d - 9*d + 49 = 3*u, 0 = 5*d - 25. Which is the smallest value? (a) -0.1 (b) 0 (c) u
a
Let y(j) = -j**3 - j**2 - 1. Let t be y(-1). Let g be -2 + 1 + t/(-2). Let x = -19681 - -19685. Which is the biggest value? (a) g (b) x (c) 1/2 (d) 4/5
b
Let v(y) = y**3 + 5*y**2 - 7*y - 3. Let g be v(-6). Suppose g*m + 23 = 5. Let h = -5.16 - -5.06. Which is the biggest value? (a) h (b) m (c) -1/4
a
Let q(l) = 8*l - 45. Let g = 166 - 159. Let i be q(g). What is the third biggest value in 3, i, 4?
3
Let s = 0.0325 - 2.7925. Let w = s + 3.16. Which is the second smallest value? (a) w (b) -7 (c) -4/7 (d) -3
d
Suppose 4*s - 29*s + 25 = 0. Let y be 1/(-3 + 2) + 11. Suppose -3*m + y = s. Which is the third smallest value? (a) -0.2 (b) m (c) 2/3 (d) 4
b
Let z = -0.87 - -0.798. Let o = z - -0.472. Let t = -1.12 + 1.13. Which is the second smallest value? (a) 4 (b) o (c) t
b
Let v = 6 - 1. Suppose -2*d - 2*s + s + 36 = 0, -2*s = -2*d + 30. Let n(m) = -5*m + 92. Let x be n(d). Which is the third smallest value? (a) x (b) v (c) -5
a
Let c = 2 - 6. Let q = -29531 + 117449/4. Let t = q + 169. What is the second smallest value in t, c, 0.4, -3/5?
-3/5
Let p be 2*((-6)/(-10) - 1). Let a = 436974 - 436979. What is the second biggest value in -0.007, p, a?
p
Let t be (158/(-5135))/(-2 + (-5046)/(-2575)). Let q be ((-24)/234)/(52/6). Let j = q + t. Which is the third biggest value? (a) 3 (b) j (c) -5
c
Let w be (6/(-10))/((-40)/50). Let s = -4987.03 - -4938. Let k = -49 - s. What is the third biggest value in w, k, 5?
k
Let l = 197 + -195. Let n = 346/33 + -32/3. What is the second smallest value in 0.6, 0.5, n, l?
0.5
Let i = 5.26 + -0.26. Let f = -6435 + 6438. Which is the biggest value? (a) 6 (b) i (c) f
a
Let l = 3258 + -3258.2. Which is the fourth smallest value? (a) l (b) -1 (c) -33 (d) 3
d
Let n = -0.882 - -1.182. Which is the fourth biggest value? (a) 2 (b) 0.5 (c) 4 (d) -202 (e) n
e
Let x = 46958/11 + -4269. Which is the third smallest value? (a) -23 (b) 5 (c) -4 (d) x (e) -0.7
e
Let v = 0.04 - -0.07. Let n = 1789.11 - 1790. Let p = v - n. Which is the fourth biggest value? (a) 2 (b) -17 (c) 0.2 (d) p
b
Let n be 3*(-39)/(-91)*(-4)/(-18). Which is the fourth biggest value? (a) n (b) -0.3 (c) 5 (d) -1/78
b
Let w = -12190 + 48761/4. Suppose q + q - 6 = 0. Let x be 1*((-57)/18 + q). Which is the third biggest value? (a) -2 (b) x (c) w
a
Let m = 7.17 + -3.17. Let c = -39.3 + 39. What is the second smallest value in m, c, 5?
m
Let u = -3.8005 - 0.1995. What is the smallest value in -3/2, 4/79, 3/5, u?
u
Let o = 28.3 - 35. Let v = -6.45 - o. Let g = -0.35 + v. Which is the second biggest value? (a) 4 (b) -2/9 (c) g
c
Let o be ((-45)/12)/(12 - 1595/132). Which is the fourth smallest value? (a) -2/5 (b) -4 (c) 5 (d) o
d
Let f = -456 - -313. Let x = f - -143.2. Let n = 0.2 + 3.8. What is the second biggest value in 2, x, -1, n?
2
Suppose -4*u + 5*p + 27 = 10*p, 2*p = 5*u - 75. Let x = -2 + u. Suppose 7*q - 24 - x = 0. What is the second biggest value in -3, -0.5, q?
-0.5
Let m = -675 + 240. Let x = -441.01 - m. Let c = 0.01 + x. What is the third smallest value in 0.2, c, -3/7, -0.5?
-3/7
Let v = -148 - -1039/7. Let f be (168/18)/7 - 1. Let l = -2.24 + 0.24. Which is the second biggest value? (a) f (b) v (c) l
a
Let d = 35.8 + -35. Let p = -0.758 + d. Let n = -0.258 - p. Which is the biggest value? (a) 0.1 (b) n (c) -4
a
Let t = 20 - 6.
|
{
"pile_set_name": "DM Mathematics"
}
|
isiiiiii. What is prob of sequence siss?
1/455
Two letters picked without replacement from {e: 1, a: 11, v: 3, n: 2, m: 1, u: 1}. What is prob of sequence uv?
1/114
What is prob of sequence hcc when three letters picked without replacement from ceecheece?
1/84
Three letters picked without replacement from ddudmdumdmmuddu. What is prob of sequence duu?
2/65
Four letters picked without replacement from xxxkbkxkbtwxkkxkfkt. Give prob of sequence kbwf.
7/46512
Three letters picked without replacement from calcllllalalca. What is prob of sequence cca?
1/91
Three letters picked without replacement from {w: 3, s: 7, b: 2}. Give prob of sequence ssw.
21/220
What is prob of sequence ey when two letters picked without replacement from qqyyeyeeeteteyete?
2/17
Two letters picked without replacement from aanniaihdiaaeeaen. What is prob of sequence he?
3/272
Four letters picked without replacement from {y: 1, z: 1, d: 1, n: 2, k: 2, t: 1}. What is prob of sequence zknt?
1/420
Calculate prob of sequence ojje when four letters picked without replacement from {j: 2, e: 1, o: 1}.
1/12
Two letters picked without replacement from {e: 1, z: 2, g: 2, h: 1, r: 1, f: 1}. Give prob of sequence zf.
1/28
What is prob of sequence qp when two letters picked without replacement from {j: 1, p: 2, t: 1, x: 1, q: 1, a: 1}?
1/21
Four letters picked without replacement from ccxvxvcccxxcxxccc. Give prob of sequence vxcc.
9/595
What is prob of sequence yi when two letters picked without replacement from {i: 1, m: 1, x: 5, y: 3, h: 4}?
3/182
Two letters picked without replacement from eqfffeefezzqeeefz. Give prob of sequence ee.
21/136
Calculate prob of sequence zpuw when four letters picked without replacement from {p: 1, z: 1, g: 5, w: 3, u: 1}.
1/2640
Four letters picked without replacement from {u: 7, i: 1, a: 5, m: 3}. What is prob of sequence aamm?
1/364
Three letters picked without replacement from llll. What is prob of sequence lll?
1
What is prob of sequence grg when three letters picked without replacement from {g: 7, r: 9, h: 2, j: 1}?
21/323
What is prob of sequence kueu when four letters picked without replacement from ukugkkuekkkegc?
3/1001
Calculate prob of sequence kp when two letters picked without replacement from ppkppppk.
3/14
Three letters picked without replacement from qsqysqsqsqsyss. Give prob of sequence yyq.
5/1092
What is prob of sequence lll when three letters picked without replacement from {l: 3, k: 8}?
1/165
Two letters picked without replacement from {q: 4, d: 3, e: 4, i: 2, t: 3, o: 2}. What is prob of sequence dd?
1/51
What is prob of sequence ff when two letters picked without replacement from {r: 2, f: 9}?
36/55
Two letters picked without replacement from {a: 3, n: 3, h: 2}. Give prob of sequence an.
9/56
Four letters picked without replacement from ykwrc. What is prob of sequence kwrc?
1/120
What is prob of sequence yvj when three letters picked without replacement from {u: 1, y: 1, m: 1, j: 3, v: 1}?
1/70
Calculate prob of sequence gmq when three letters picked without replacement from {m: 1, u: 1, g: 1, n: 2, s: 1, q: 1}.
1/210
Calculate prob of sequence xz when two letters picked without replacement from {p: 8, o: 5, z: 2, x: 4}.
4/171
What is prob of sequence ccc when three letters picked without replacement from {c: 6}?
1
Calculate prob of sequence edze when four letters picked without replacement from ldoaoeedzloaodooad.
1/9180
What is prob of sequence ee when two letters picked without replacement from {i: 7, d: 1, r: 1, e: 7}?
7/40
What is prob of sequence pg when two letters picked without replacement from {u: 2, q: 1, o: 6, g: 5, p: 1}?
1/42
What is prob of sequence ax when two letters picked without replacement from {p: 2, a: 2, c: 1, x: 1, v: 2, i: 1}?
1/36
Two letters picked without replacement from {t: 7, w: 4, q: 3, b: 4}. What is prob of sequence ww?
2/51
What is prob of sequence uuuj when four letters picked without replacement from juuuttuutuujututut?
1/51
Two letters picked without replacement from {o: 8, f: 3}. Give prob of sequence oo.
28/55
Calculate prob of sequence mmv when three letters picked without replacement from mcccmmcmccmccvcv.
1/84
Two letters picked without replacement from {q: 6, c: 2, n: 9}. What is prob of sequence nn?
9/34
What is prob of sequence jrjl when four letters picked without replacement from {u: 1, e: 4, v: 1, j: 5, r: 6, l: 3}?
1/323
Three letters picked without replacement from {z: 11, q: 9}. Give prob of sequence qzq.
11/95
What is prob of sequence uku when three letters picked without replacement from uckkullktknc?
1/165
Calculate prob of sequence fc when two letters picked without replacement from ifwcccffcfz.
8/55
Calculate prob of sequence juju when four letters picked without replacement from {u: 5, j: 2}.
1/21
Calculate prob of sequence smt when three letters picked without replacement from {s: 2, u: 1, v: 1, o: 1, t: 1, m: 1}.
1/105
What is prob of sequence xth when three letters picked without replacement from tthxxhxhxttxx?
6/143
What is prob of sequence lcmi when four letters picked without replacement from nimemcmelmel?
1/1485
Four letters picked without replacement from {z: 1, h: 3, r: 4, m: 2, c: 1}. What is prob of sequence mzmh?
1/1320
Four letters picked without replacement from {d: 2, e: 1, o: 7, j: 3, n: 1}. What is prob of sequence onod?
1/286
What is prob of sequence sbwe when four letters picked without replacement from {w: 1, s: 1, e: 1, m: 7, o: 2, b: 2}?
1/12012
Three letters picked without replacement from onqrn. Give prob of sequence qro.
1/60
Calculate prob of sequence jqj when three letters picked without replacement from {r: 1, m: 1, j: 2, q: 1, x: 2}.
1/105
Calculate prob of sequence nf when two letters picked without replacement from {n: 2, p: 3, f: 5, b: 3}.
5/78
Three letters picked without replacement from nanafnfxnfaafnx. What is prob of sequence xff?
4/455
Calculate prob of sequence gff when three letters picked without replacement from {l: 1, f: 2, d: 1, v: 4, h: 1, g: 3}.
1/220
What is prob of sequence rqk when three letters picked without replacement from qrrkkyk?
1/35
Calculate prob of sequence iii when three letters picked without replacement from {i: 9}.
1
Four letters picked without replacement from {l: 4, w: 2, i: 2, j: 4, m: 1, e: 1}. Give prob of sequence mill.
1/1001
Three letters picked without replacement from uuuuuuuuu. What is prob of sequence uuu?
1
What is prob of sequence tv when two letters picked without replacement from {r: 1, e: 1, t: 1, b: 1, k: 1, v: 2}?
1/21
Three letters picked without replacement from mendy. Give prob of sequence ynd.
1/60
Calculate prob of sequence mmk when three letters picked without replacement from {a: 2, m: 11, k: 1}.
55/1092
What is prob of sequence ksa when three letters picked without replacement from yffkwwwwwsswwyswaw?
1/1632
Calculate prob of sequence ss when two letters picked without replacement from ysssyssssyy.
21/55
Four letters picked without replacement from {y: 1, j: 9, o: 1, g: 3}. What is prob of sequence jjgj?
9/143
What is prob of sequence oo when two letters picked without replacement from uoouou?
1/5
Three letters picked without replacement from {d: 5, l: 8, u: 1, z: 2, h: 1, t: 3}. Give prob of sequence dhz.
1/684
Calculate prob of sequence wc when two letters picked without replacement from {c: 3, i: 1, o: 4, u: 1, w: 7}.
7/80
Three letters picked without replacement from {g: 4, f: 2, v: 4}. Give prob of sequence vvv.
1/30
Three letters picked without replacement from {h: 2, k: 5, q: 2, d: 1, w: 6, a: 1}. Give prob of sequence kkd.
1/204
Three letters picked without replacement from djdqjjddqjjjdjdjdj. Give prob of sequence ddj.
21/272
Calculate prob of sequence iaia when four letters picked without replacement from aaiaaaaaaaaaaaiaaaaa.
1/190
Three letters picked without replacement from ooomuuy. Give prob of sequence uum.
1/105
Calculate prob of sequence iyi when three letters picked without replacement from yyyyyiiyiiyqy.
8/143
What is prob of sequence ij when two letters picked without replacement from jji?
1/3
Calculate prob of sequence mppp when four letters picked without replacement from {p: 8, q: 6, m: 3, r: 1}.
7/510
Two letters picked without replacement from iyyiqyygtivi
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the ten thousands digit of 784192632?
9
What is the hundreds digit of 2169050962?
9
What is the tens digit of 3241326066?
6
What is the hundreds digit of 32289926?
9
What is the thousands digit of 338202033?
2
What is the ten millions digit of 586410879?
8
What is the hundreds digit of 60674279?
2
What is the hundreds digit of 62936907?
9
What is the millions digit of 12159352?
2
What is the units digit of 39548420?
0
What is the hundred thousands digit of 150463777?
4
What is the units digit of 1969041876?
6
What is the thousands digit of 96845636?
5
What is the ten millions digit of 1395863999?
9
What is the millions digit of 2355876491?
5
What is the millions digit of 176818968?
6
What is the ten millions digit of 71658499?
7
What is the billions digit of 1634717688?
1
What is the thousands digit of 286893734?
3
What is the tens digit of 238344770?
7
What is the thousands digit of 621033862?
3
What is the ten millions digit of 1513921837?
1
What is the units digit of 392442449?
9
What is the hundred millions digit of 159843727?
1
What is the millions digit of 59116472?
9
What is the ten millions digit of 108333750?
0
What is the units digit of 83678622?
2
What is the millions digit of 1502073555?
2
What is the ten thousands digit of 33326557?
2
What is the millions digit of 278274555?
8
What is the hundreds digit of 29500926?
9
What is the ten thousands digit of 142537452?
3
What is the tens digit of 2942588332?
3
What is the billions digit of 6502534711?
6
What is the units digit of 36636205?
5
What is the hundred thousands digit of 47932953?
9
What is the thousands digit of 165859289?
9
What is the ten thousands digit of 226826133?
2
What is the hundreds digit of 10489506?
5
What is the tens digit of 40505969?
6
What is the units digit of 746719210?
0
What is the ten thousands digit of 51540131?
4
What is the hundreds digit of 3039772599?
5
What is the hundred millions digit of 439363134?
4
What is the hundreds digit of 44392109?
1
What is the hundred thousands digit of 20979754?
9
What is the hundred thousands digit of 1549698479?
6
What is the hundred thousands digit of 37115314?
1
What is the tens digit of 497566321?
2
What is the ten thousands digit of 922426491?
2
What is the hundred thousands digit of 623097877?
0
What is the millions digit of 379709591?
9
What is the hundreds digit of 602200527?
5
What is the hundreds digit of 24052527?
5
What is the ten millions digit of 1452714712?
5
What is the tens digit of 8496110?
1
What is the units digit of 607908656?
6
What is the thousands digit of 99955038?
5
What is the ten millions digit of 24145516?
2
What is the ten millions digit of 24762458?
2
What is the ten millions digit of 80419170?
8
What is the millions digit of 601585522?
1
What is the ten millions digit of 168797596?
6
What is the tens digit of 1026155469?
6
What is the hundred thousands digit of 527091808?
0
What is the hundreds digit of 1162943459?
4
What is the ten millions digit of 10040070?
1
What is the hundred thousands digit of 616290599?
2
What is the units digit of 15450607?
7
What is the tens digit of 3208844164?
6
What is the ten millions digit of 68629283?
6
What is the tens digit of 1378677?
7
What is the hundred thousands digit of 450620914?
6
What is the units digit of 24693513?
3
What is the millions digit of 2277110750?
7
What is the ten millions digit of 218355373?
1
What is the millions digit of 736427632?
6
What is the units digit of 89307260?
0
What is the hundred millions digit of 1008159395?
0
What is the ten thousands digit of 211276701?
7
What is the ten thousands digit of 107691860?
9
What is the units digit of 105962314?
4
What is the hundred millions digit of 6259493677?
2
What is the hundreds digit of 29690486?
4
What is the hundred thousands digit of 595881328?
8
What is the millions digit of 752113629?
2
What is the millions digit of 28646372?
8
What is the thousands digit of 195109194?
9
What is the units digit of 107965849?
9
What is the units digit of 78388937?
7
What is the thousands digit of 55721625?
1
What is the hundreds digit of 93668255?
2
What is the units digit of 426755628?
8
What is the thousands digit of 1172191479?
1
What is the tens digit of 91560734?
3
What is the ten thousands digit of 212347626?
4
What is the hundred millions digit of 1826796049?
8
What is the units digit of 836381424?
4
What is the hundred millions digit of 535946736?
5
What is the ten millions digit of 20165393?
2
What is the hundreds digit of 235734891?
8
What is the units digit of 3431531045?
5
What is the millions digit of 2680624111?
0
What is the ten thousands digit of 71375833?
7
What is the hundreds digit of 86582141?
1
What is the hundred millions digit of 240775996?
2
What is the units digit of 547164018?
8
What is the hundreds digit of 209014347?
3
What is the hundred thousands digit of 338164887?
1
What is the ten thousands digit of 752095708?
9
What is the millions digit of 1499426529?
9
What is the ten thousands digit of 654317389?
1
What is the ten millions digit of 1202323642?
0
What is the hundred millions digit of 925684864?
9
What is the units digit of 2190775786?
6
What is the ten thousands digit of 80984458?
8
What is the ten thousands digit of 242058795?
5
What is the hundred thousands digit of 2808028067?
0
What is the thousands digit of 218528668?
8
What is the hundreds digit of 665447653?
6
What is the thousands digit of 231759998?
9
What is the hundred thousands digit of 779562763?
5
What is the units digit of 264891266?
6
What is the hundred thousands digit of 270881069?
8
What is the millions digit of 4448328?
4
What is the tens digit of 18231666?
6
What is the hundreds digit of 119284609?
6
What is the ten thousands digit of 50148199?
4
What is the ten thousands digit of 83778186?
7
What is the ten millions digit of 266416663?
6
What is the hundred thousands digit of 833907305?
9
What is the units digit of 160367952?
2
What is the hundred thousands digit of 48972475?
9
What is the millions digit of 54156141?
4
What is the ten millions digit of 746950445?
4
What is the hundred thousands digit of 33834663?
8
What is the thousands digit of 30640359?
0
What is the ten millions digit of 290438644?
9
What is the thousands digit of 1714896413?
6
What is the hundred millions digit of 6314736955?
3
What is the thousands digit of 55191201?
1
What is the ten millions digit of 38265099?
3
What is the millions digit of 119948307?
9
What is the ten millions digit of 29156196?
2
What is the millions digit of 421232342?
1
What is the thousands digit of 84402084?
2
What is the thousands digit of 121052291?
2
What is the thousands digit of 102886297?
6
What is the thousands digit of 431536263?
6
What is the millions digit of 928045834?
8
What is the tens digit of 397586554?
5
What is the thousands digit of 14492733?
2
What is the hundred millions digit of 2817904305?
8
What is the hundred millions digit of 2244421472?
2
What is the tens digit of 5143954287?
8
What is the hundreds digit of 149389466?
4
What is the hundreds digit of 187676901?
9
What is the ten thousands digit of 949840493?
4
What is the thousands digit of 131908967?
8
What is the hundreds digit of 3011699083?
0
What is the millions digit of 25991722?
5
What is the units digit of 280715425?
5
What is the hundred millions digit of 647747932?
6
What is the tens digit of 1012967831?
3
What is the tens digit of 15271219?
1
What is the ten thousands digit of 1585035818?
3
What is the ten millions digit of 1100383959?
0
What is the hundreds digit of 7407621?
6
What is the millions digit of 87103868?
7
What is the thousands digit of 662241227?
1
What is the ten millions digit of 86080354?
8
What is the thousands digit of 429158674?
8
What is the thousands digit of 855106999?
6
What is the ten millions digit of 105471274?
0
What is the units digit of 317072015?
5
What is the hundred millions digit of 884964471?
8
What is the millions digit of 10456311?
0
What is the tens digit of 732056844?
4
What is the ten thousands digit of 186581809?
8
What is the ten thousands digit of 364015622?
1
What is the hundreds digit of 125732239?
2
What is the hundreds digit of 35622427?
4
What is the millions digit of 105618815?
5
What is the uni
|
{
"pile_set_name": "DM Mathematics"
}
|
92*o as t*o**2 + z + l*o and give t.
-1800
Express (3 - 3 - 1)*(2086*g**2 + 22*g**2 - 6253 + 6253) as k*g**2 + r*g + t and give t.
0
Rearrange -10*z**3 - 3*z**2 - 2*z**4 + 30*z**3 + 4*z**4 - z**2 to s*z**2 + q*z + y*z**4 + m*z**3 + n and give n.
0
Rearrange 4147*b - 3*b**3 + b**3 - 3957*b + b**3 - 2*b**4 to the form z*b**3 + t*b**2 + w + j*b + v*b**4 and give w.
0
Rearrange -2*h - 712*h**2 - h - 2*h + 5*h to the form v*h + s + x*h**2 and give x.
-712
Express -q**3 + 14 - 18 + 110*q - 62*q in the form l*q + n*q**2 + g*q**3 + b and give g.
-1
Rearrange -100874*k + 24*k**2 + 100874*k to x*k**2 + n + t*k and give x.
24
Rearrange k**3 - 103 + k**3 - 2*k**3 - 131 + k**3 to j*k + l*k**3 + v*k**2 + i and give i.
-234
Rearrange -6 + 120*q**2 - 2*q - 44*q**2 - 3*q**3 - 33*q**2 - 42*q**2 to the form i*q**3 + w + j*q**2 + b*q and give i.
-3
Rearrange 244*y - 119*y + 3*y**3 + 4 - 114*y to the form u*y**3 + f*y + i + d*y**2 and give u.
3
Express (0*l + 0*l + l + (1 - 1 + 2)*(1 - 1 + 2*l) - 4*l + 2*l + 3*l - 3*l + l + 3*l - l + 4*l + 0*l)*(-54 + 25 - 2)*(5 - 4 - 2) in the form r*l + o and give o.
0
Express -76*q + 7*q**2 + 76*q - 99*q**3 as u*q + v*q**3 + y*q**2 + d and give v.
-99
Express (-2 + 5 - 1)*(-2 + 3*c + 2)*(-30 - 36 + 5) as s*c + t and give s.
-366
Rearrange (8 - 7*w + 7*w + 2*w)*(0 - 1 + 4) to b + d*w and give b.
24
Rearrange 16*h**4 + 31*h**2 - 68*h**2 + 38*h**2 - 50*h**4 + 3 to the form c + b*h**4 + y*h + x*h**2 + a*h**3 and give y.
0
Express (6 - 3 - 2)*(2 - 1 + 2)*(-2 + 2 - 1)*(-9*c - 4*c - 3*c)*(0 - 7 + 2) as j + a*c and give a.
-240
Rearrange (-43 - 126 + 5)*(1 - 5 + 1)*(-5*x + 0*x + 4*x)*(5 - 2 - 4) to u + i*x and give i.
492
Express (-9*h**3 + 1 + 0*h**2 - 59*h**3 + h**2)*(-3*h + 5*h + 0*h) in the form u*h**3 + n*h**2 + o*h + a + i*h**4 and give o.
2
Express -134*y**3 + y + 4*y + 5 - y**2 + 265*y**3 + 2 - 132*y**3 in the form d*y**3 + a + j*y**2 + s*y and give s.
5
Rearrange (6*s**2 - 5*s**2 + 6*s**2)*(110 - 110 + 38*s + (-3*s + s + s)*(-1 + 3 - 3)) to the form v*s**2 + r*s**3 + n + y*s and give r.
273
Rearrange (-2*k + 2*k - 97*k**3)*(-3 - 6 + 4)*(-1 - 5 + 4)*(-1 + 0 + 3) + 2*k - 2*k**3 - 2*k to the form z*k + s*k**2 + n + m*k**3 and give m.
-1942
Rearrange -74 + 3*k**3 + 30 + 73 to w*k + u + m*k**2 + q*k**3 and give m.
0
Rearrange 228*q**3 - 2*q**2 - 179*q**3 + 2 + 9*q - 9*q to l*q**2 + s*q + c + i*q**3 and give c.
2
Rearrange 12*n + 16*n**2 - 4 - 3*n**2 - 7*n**2 - 8*n**2 - 4*n**3 to the form z + g*n**3 + u*n**2 + i*n and give z.
-4
Rearrange -44 + 594*m + 59 - 15 to the form t*m + r and give t.
594
Rearrange (-4 + 17 + 1)*((-r + 4*r - r)*(0 - 2*r**2 + 0) + 7*r**3 + 14*r**3 - 7*r**3) to the form x + z*r + h*r**3 + d*r**2 and give h.
140
Rearrange (-1 - 4 + 4)*(-4 + 0 + 2)*(3*z**2 + z**2 - 3*z**2 + (3*z - 5*z + 3*z)*(z + 0 + 0) + z**2 + 16 - 29 - 11) to the form p*z + o + m*z**2 and give p.
0
Express (-1 - 2 + 2)*(4 + 3*h**3 - 4) - 51*h**3 - 17025 - h + 17025 in the form y*h**3 + f*h + b + c*h**2 and give y.
-54
Rearrange 162 + 177 + 6*h**2 - 246 to the form a*h**2 + x*h + s and give x.
0
Express (-37 + 126 + 56)*(-2*g + 0*g + 3*g + (-2 + 0 + 1)*(0 - 4 + 1)*(-1 - 4*g + 1)) in the form y + f*g and give f.
-1595
Express -24*n**3 - 14 - 53*n**3 - n**2 + n**4 + 14 as v*n**3 + z*n + t*n**2 + b*n**4 + s and give v.
-77
Express -385*a**2 + 5*a + 862*a**2 - 2*a as q + p*a + m*a**2 and give p.
3
Rearrange (-z - 3 + 3)*(-85 - 10 + 8) + z - 3*z + 3*z to the form x*z + k and give x.
88
Express (-6 + 1 + 1)*(1 - 1 + 2*n + (n + 2*n + 0*n)*(-7 - 8 + 4)) in the form z + c*n and give c.
124
Rearrange 0*l + 6*l - 24*l**3 - 11*l - l**4 + 7*l**2 + 22*l**3 to the form k*l**4 + o*l**3 + h*l**2 + m + s*l and give k.
-1
Express -n + 7 - 2*n + 32*n - 8*n - 7*n in the form q + y*n and give y.
14
Rearrange 4 + 2*o**4 - 4 + 0*o**4 + 22*o**3 - 3 + o**2 to the form s*o + k + h*o**4 + a*o**2 + w*o**3 and give h.
2
Express 3 + 4*u**2 - 3 - 6*u**2 + 4*u - 4*u + 9*u**2 + 446 - 446 + (-1 + u + 1)*(-2*u + 3 - 3) in the form t*u**2 + d + k*u and give d.
0
Express -382*u**2 - 422 + 422 as x*u**2 + b + z*u and give x.
-382
Express -a + 93*a**2 + a - 5*a + 5*a in the form n*a**2 + i*a + r and give n.
93
Rearrange (-3*u - 2*u - u)*((-3*u + 0*u + 4*u)*(2 - 2 - 1) + 0*u + 0*u - 2*u - 62*u + 133*u - 57*u) to the form p*u + v*u**2 + m and give v.
-66
Express -6*b**3 - b**3 + 4*b**3 + (b + 0*b - 2*b)*(3*b**2 - 7*b**2 - 31*b**2) as r*b**2 + p + q*b + a*b**3 and give a.
32
Express 3*y**2 + 2*y**4 + 2*y**3 + 0 + 2 - 2*y + 2*y - 4*y as a*y + o*y**2 + j*y**3 + w*y**4 + g and give a.
-4
Express -110*l + 2 + 7 - 6 - 1 - 5 as z*l + u and give z.
-110
Express -155*i**3 + 12*i**4 - 162*i**3 + i + 2 + 0*i + 319*i**3 + 3*i**2 as u*i**4 + x + v*i**3 + b*i**2 + q*i and give q.
1
Rearrange 405*a - 1 - 14*a**2 + a**4 + 19*a**2 - 467*a to y*a**3 + b*a**2 + q*a + v + p*a**4 and give v.
-1
Express -38*g + 275*g**2 - 27*g + 65*g in the form y*g**2 + f + u*g and give y.
275
Rearrange -10*z**2 - 4*z + 4*z - 55*z**3 + 66*z**3 to t*z**3 + d + a*z**2 + h*z and give a.
-10
Rearrange 66*v**3 - 2*v**4 - 127*v**3 - 1 + 0 to h*v**4 + q*v + t + w*v**3 + x*v**2 and give h.
-2
Express -33*k**3 + 18*k**2 - 17*k**2 - 5*k**4 + 12*k**3 + 15*k**3 in the form s*k**4 + l + g*k**2 + w*k + b*k**3 and give b.
-6
Rearrange 6*j**3 + 6*j**3 + j**4 - 20 + 2*j**2 + 7*j**3 - 21*j**3 - j to the form z*j + f*j**2 + x*j**4 + w*j**3 + p and give f.
2
Express -223*x**2 - 275*x**2 + 218*x**2 in the form p + m*x + n*x**2 and give n.
-280
Rearrange (47*a**2 - 22*a**2 - 82*a**2)*(4*a + 3*a + 7*a) + 4*a - 4*a - a**3 to the form c*a**2 + f*a + w*a**3 + k and give w.
-799
Express 70*n**3 + 16*n**2 - 218*n**3 + 15*n**2 + 73*n**3 + 76*n**3 in the form w*n**3 + a*n**2 + c*n + z and give a.
31
Rearrange (0*n + 4*n - 3*n)*(145 + 32 + 45) to x*n + w and give x.
222
Express (-1 - 4 + 4 + 1 - 3 + 1 + (1 + 2 - 1)*(1 - 3 + 0) + 3 - 5 + 1 + 3 - 3 + 1 - 17 + 1 - 1)*(-13*q - 9*q + 6*q) as y*q + t and give y.
368
Rearrange (42*a**2 + a**2 + 19*a**2)*(-4 - 4 + 2) to h + g*a + n*a**2 and give n.
-372
Rearrange -28*q + 83*q - 23*q - 33*q - 243 to c*q + f and give f.
-243
Rearrange (5*b**4 - 2*b**4 - b**4)*(18 + 25 - 12) + (5*b**2 - 5*b**2 + b**2)*(4 + 15*b**2 - 4) to the form z*b**4 + a + f*b**3 + p*b**2 + o*b and give z.
77
Rearrange -8 - 7*v**3 - 15 + 30 + 2*v - 2*v**2 to o + j*v + a*v**2 + t*v**3 and give j.
2
Express 670 - 336 - q + 35*q**2 - 334 in the form u + c*q + t*q**2 and give t.
35
Rearrange -5*c**2 + 4*c**2 - c**3 - c + 4*c + (-c**3 + 2 - 2)*(3 + 1 - 3)*(-1 + 6 - 3) to m*c**2 + j*c**3 + o + q*c and give q.
3
Rearrange -93101*y + 92893*y + 0*y**2 + 3*y**4 + y**2 to n*y**2 + j*y**4 + k*y**3 + l + o*y and give o.
-208
Rearrange 7*v**4 - 5*v**2 + v**4 + 25*v**2 - 7*v**4 + 21*v**3 - 13*v**2 to f*v**3 + b*v + p + j*v**4 + h*v**2 and give f.
21
Rearrange (6 - 12 + 16 - 7 + 1001*m)*(m - m - m) to the form c + p*m + h*m**2 and give p.
-3
Rearrange -20*d + 7*d**2 + 5*d + 19*d to i + c*d + f*d**2 and give f.
7
Express -p**3 + 4*p - p**3 - 2*p + ((0 - p + 0)*(264 - 264 - 24*p) + 0 - p**2 + 2*p**2 + 2)*(-4*p + 7*p - 8*p) as k*p**3 + w*p + m + r*p**2 and give m.
0
Express (5*b**3 - 3*b**3 + 2*b**3)*(-2*b + b + 4*b)*((5 - 5 + 2)*(0 - 7 + 2) - 2 - 5 + 0) as a*b**4 + i*b + z*b**2 + t + k*b**3 and give a.
-204
Rearrange (-u + 1 - 1)*(-129 + 28 - 159) to f*u + l and give f.
260
Express 8*d**4 + 2*d**3 - 20222*d**2 - 2*d + 20222*d**2 - 32 - 3*d**3 in the form h + l*d**2 + p*d**4 + j*d**3 + m*d and give p.
8
Express 2*i - 13*i**4 + 2*i**4 - 2*i**3 + 17*i**2 - 7*i + 4*i**4 + 5*i**4 as a*i + w*i**3 + t*i**2 + d + n*i**4 and give w.
-2
Rearrange ((-w + 2*w + 0*w)*(2 - 2 - 1) - 4*w - 2*w + 5*w - w - 3*w + 2*w - 5228 + 5228 - 92*w)*(-1 + 4 + 1) to l + h*w and give h.
-384
Rearrange -3*b + 3*b - 3*b**2 + (5*b - 2*b - 5*b)*(-3*b - 2*b + 6*b) - 27*b + 6*b**2 - 1591 + 797 + 795 to the form n*b + q*b**2 + t and give t.
1
Rearrange -54*l**2 + 4*l + 34*l**2 + l + 5*l**2 to the form x + j*l**2 + y*l and give j.
-15
Express (427*m - 143*m - 214*m)*(0 + 2 - 1 + (4 - 5 + 0)*(-3 + 1 + 0))*(-m + 2*m + 0*m) in the form h*m**2 + a*m + r and give h.
210
Express (-82*t - 11*t - 10*t)*(-1 + 4 - 4 + (2 + 0 - 3)*(-2 + 2 - 2) - 5 + 1 - 7) in the form r*t + d and give r.
1030
Rearrange k
|
{
"pile_set_name": "DM Mathematics"
}
|
121201*w**3 + 4*w - 5711283?
-60727206*w
Differentiate -27*w*y**3 - 59444*w + 2*y**3 - 25*y**2 - 3*y - 82397 wrt w.
-27*y**3 - 59444
What is the derivative of -163608437*z + 65189248?
-163608437
Find the second derivative of -8947586*k**2*q - 4123955*k*q wrt k.
-17895172*q
What is the first derivative of -86*o**2 - 47194*o - 17664448?
-172*o - 47194
What is the third derivative of -4890*k**5 - 2271*k**3 - 44192536*k**2 wrt k?
-293400*k**2 - 13626
What is the third derivative of 44250*j**2*l**3 + 150*j**2*l**2 + 14*j**2 + 306*l**3 + 5*l**2 - 16*l - 9 wrt l?
265500*j**2 + 1836
What is the third derivative of -6987844*b**3 + 18*b**2 + 40349*b wrt b?
-41927064
Find the first derivative of -62469217*z**3 + 5305556.
-187407651*z**2
Find the third derivative of -795030547*d**3 + 27061814*d**2 - 8.
-4770183282
Find the third derivative of -8245960*t**3 - 1681330*t**2.
-49475760
What is the third derivative of -21*q**6 - 6809215*q**3 - 300793758*q**2?
-2520*q**3 - 40855290
Find the third derivative of 5570962*p**4 - 11*p**2 + 165*p + 73 wrt p.
133703088*p
Find the third derivative of -23*n**5 - 89647*n**3 + 8*n**2 + 29*n - 55 wrt n.
-1380*n**2 - 537882
Find the first derivative of -1624589*g**3 - 4*g**2 + 2*g + 18873215.
-4873767*g**2 - 8*g + 2
Find the second derivative of -186853741*g**3 - 133*g + 1620187 wrt g.
-1121122446*g
What is the third derivative of -56120750*h*p**5*s + 15*h*p*s + p**3*s**2 + 2*p**2*s**2 + 8868*p**2*s + 7*p*s**2 - 2*s wrt p?
-3367245000*h*p**2*s + 6*s**2
Differentiate 25*a*r**2 - 2761*a*r - 9576496*a - 3*r**2 + 2*r with respect to r.
50*a*r - 2761*a - 6*r + 2
What is the second derivative of -13482536*r**3 + 2*r**2 + 125*r + 23178?
-80895216*r + 4
Differentiate -204690*z**3 + 96*z**2 + 135590484.
-614070*z**2 + 192*z
Find the second derivative of 226*b**2*m**2 + 17*b**2*m + 8787*b**2 - 13*b*m**2 - 21*b*m + 5*b - 34*m**2 wrt b.
452*m**2 + 34*m + 17574
What is the first derivative of y**3 - 347180*y**2 - 78*y + 309276190?
3*y**2 - 694360*y - 78
Find the second derivative of -8*t**5 + 4176*t**4 + 4*t - 157705 wrt t.
-160*t**3 + 50112*t**2
What is the second derivative of -5451599*m*q**2 - 743*m - q + 601 wrt q?
-10903198*m
Find the third derivative of -17812*b**2*p**2*x**3 - b**2*p*x**2 + b**2*p*x + 10426736*b**2*x**2 + b*p**2*x**2 + 5*b*x**2 - 2387*p**2*x**3 wrt x.
-106872*b**2*p**2 - 14322*p**2
What is the derivative of t**3 - 3048122*t**2 - 747903225?
3*t**2 - 6096244*t
Find the second derivative of -2201*d**4*w + 664*d**3*w + 6*d**2 + 3505959*d*w + 2*d - 2*w + 3 wrt d.
-26412*d**2*w + 3984*d*w + 12
What is the first derivative of -k**2*p + 11*k**2 - 4980*k*p - 7*k - 3674757*p wrt k?
-2*k*p + 22*k - 4980*p - 7
Find the third derivative of 45686*s**4 + 2*s**3 - 15375*s**2 - 307*s + 2 wrt s.
1096464*s + 12
What is the second derivative of -59871172*s**5 - 41700539*s?
-1197423440*s**3
Find the second derivative of -411567*k*l**2*o*u - k*l*o*u - 106*k*l*u + 6*k*o*u + 3*l**2*o*u - 2*l**2*u - 43*l*o - 2*o*u wrt l.
-823134*k*o*u + 6*o*u - 4*u
Differentiate 1151*w**2 - 2946*w - 270956378 with respect to w.
2302*w - 2946
Differentiate -2*g**3 - 4*g**2 - 987452*g - 577740285 wrt g.
-6*g**2 - 8*g - 987452
Find the second derivative of 945948788*z**4 - 27093*z + 17220.
11351385456*z**2
Differentiate -713*m**4 + 37418*m**2 - m - 42629021 wrt m.
-2852*m**3 + 74836*m - 1
Differentiate -2*y**4 - 776562*y**3 + 13*y - 161294802 with respect to y.
-8*y**3 - 2329686*y**2 + 13
Find the third derivative of 2*m**3*w**3 - 4227901*m**3*w**2 + 377*m**2*w - m*w**3 + 3*m*w - 9*m wrt m.
12*w**3 - 25367406*w**2
Find the second derivative of -6851732*z**2 - 5867229*z - 1.
-13703464
What is the second derivative of -n**2*v**2 - 180*n**2*v + 10*n**2 + n*v**2 - 3*n*v - 2939261*v**2 - 538*v + 2 wrt v?
-2*n**2 + 2*n - 5878522
Differentiate -i*x**3 + 35*i*x**2 - 12*i*x + 12454*i + 7734*x**3 + 15321*x with respect to i.
-x**3 + 35*x**2 - 12*x + 12454
Find the second derivative of -1100571789*a**2*w**3 - 2978936*a - 79*w**3 wrt a.
-2201143578*w**3
Find the second derivative of 1520*v**4 + 16394*v**3 + 1291*v + 11667.
18240*v**2 + 98364*v
Differentiate -83*i**2 + 281221*i*p - 29936*p + 86 with respect to i.
-166*i + 281221*p
Find the second derivative of -1008*g**3 - 33975*g**2 - 86501302*g wrt g.
-6048*g - 67950
What is the first derivative of 10680260*j**3 - 115353434 wrt j?
32040780*j**2
What is the second derivative of 3624*a**2*d**2*w + 12*a**2*d**2 + 59*a**2 - 7179*a*d**2*w - 4*a*d**2 + a*w + 19*d**2*w wrt a?
7248*d**2*w + 24*d**2 + 118
Find the third derivative of 925297*g**3 - 67597085*g**2.
5551782
Find the third derivative of 26440*f**5*y + 7776*f**3*y - 2*f**2*y - 19*f**2 + 18051*f - 48*y wrt f.
1586400*f**2*y + 46656*y
Find the first derivative of 4*q**2 + 281539*q + 1351516 wrt q.
8*q + 281539
What is the second derivative of -7*k**3*x**2 - 127014*k**2*x**2 - 5*k*x**2 + 45007*k*x - 12*x - 2 wrt k?
-42*k*x**2 - 254028*x**2
What is the second derivative of 6370914*n**2 - 7048316*n?
12741828
Differentiate -w**3 + 14434320*w**2*x + 2*w**2 - 122226234*x wrt w.
-3*w**2 + 28868640*w*x + 4*w
What is the second derivative of 431925890*i**4 + 242497239*i?
5183110680*i**2
Find the first derivative of -658604103*a - 578070033.
-658604103
What is the second derivative of -113387270*y**4 + 10042157*y + 1?
-1360647240*y**2
Find the third derivative of -2*i**2*w**4 + 3*i**2*w**2 + 591090*i**2 - 1576481*i*w**5 - 2*i wrt w.
-48*i**2*w - 94588860*i*w**2
What is the second derivative of 28999846*j**2*p - 44493319*j*p wrt j?
57999692*p
Find the first derivative of -13*l*u + 14293354*l + 112248*u**2 wrt u.
-13*l + 224496*u
Find the third derivative of 4096*o**4 + 959*o**3 - 36*o**2 - 277933*o wrt o.
98304*o + 5754
What is the second derivative of 2396*o**3 - 53388*o**2 + 790*o + 182318 wrt o?
14376*o - 106776
Find the second derivative of 192480*m**5 + 27*m**3 - 218097*m - 352.
3849600*m**3 + 162*m
Differentiate 9451873*h**2*l - 944851513*h**2 - 10*h*l**3 wrt l.
9451873*h**2 - 30*h*l**2
What is the second derivative of 11*s**3 - 23778*s**2 + 840348*s wrt s?
66*s - 47556
Find the third derivative of -49677626*i**3 - 2212*i**2 + 10778 wrt i.
-298065756
What is the first derivative of -583*g**4 - 15660*g**2*j**3 + 25*j**3 - 13*j**2 + 2*j + 86 wrt g?
-2332*g**3 - 31320*g*j**3
Find the third derivative of -1010566*b**5 + 4*b**4 - 14*b**2 + 28371*b + 22.
-60633960*b**2 + 96*b
What is the third derivative of 50*v**4 + 13468*v**3 + 4128049*v**2 wrt v?
1200*v + 80808
What is the second derivative of -3*h*w**3 + 216*h*w**2 - 430316*h*w - 2*h - 4*w**3 + 89*w**2 + 16*w wrt w?
-18*h*w + 432*h - 24*w + 178
What is the second derivative of u**5 - u**3 - 45375170*u**2 - 43354764*u?
20*u**3 - 6*u - 90750340
Find the first derivative of -c*j**3 + 30308875*c*j**2*p**2 - 617*c + j**3*p - 1159*j**2 + 2*j + 2*p**2 wrt p.
60617750*c*j**2*p + j**3 + 4*p
What is the derivative of 1348003*c**2*y**2 - 45*c**2 - 2*c*y**2 - 219899830*y**2 wrt c?
2696006*c*y**2 - 90*c - 2*y**2
What is the second derivative of 2188*b**2*z**2 + 8999*b**2*z + 4*b**2 + 185*b*z**2 - 170445*b*z wrt b?
4376*z**2 + 17998*z + 8
Find the third derivative of -2*j**3*v**3 - 22*j**3*v + 31*j**3 - 815*j**2*v**2 - 583512*j*v**3 - 2*v**4 + 4*v**2 + 1 wrt v.
-12*j**3 - 3501072*j - 48*v
Differentiate -768*h**2 + 12621*h + 128809472 with respect to h.
-1536*h + 12621
What is the second derivative of 13215054*d**2*i**2 + 6*d**2*i - 21*d*i + 766*d - 4*i - 2 wrt i?
26430108*d**2
Find the second derivative of -49384474*j**2 + 149*j - 3737.
-98768948
Differentiate 230210374*m**2 + 133966665.
460420748*m
Differentiate 40686183*j**4 + 32157379 wrt j.
162744732*j**3
Differentiate -11690189*d - 32658862 wrt d.
-11690189
Find the third derivative of 3*g**5 - 1808437*g**3 + 8619*g**2 - g - 237.
180*g**2 - 10850622
What is the second derivative of -2*g**2*r**3 + 17724760*g**2*r**2 + 3*g**2*r - 35*g*r + 244353*r**3 wrt g?
-4*r**3 + 35449520*r**2 + 6*r
Find the first derivative of 158995662*i**2 - 147845180 wrt i.
317991324*i
Differentiate -2*a**3*i**2 - 3039*a**3 - 58357*a*i**4 + 2*i - 527 with respect to i.
-4*a**3*i - 233428*a*i**3 + 2
Find the third derivative of 2*d**2*m**4 + 2*d**2*m**2 - 5*d**2*m - 8434*d**2 - 134948825*d*m**4 + 5*d wrt m.
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Is 24673449293 composite?
False
Is 1136272057 a composite number?
False
Is 303925003 composite?
True
Is 20081244461 composite?
False
Is 2715047221 a prime number?
True
Is 950807569 a composite number?
True
Is 18945078247 composite?
False
Is 53731172767 prime?
True
Is 4540114837 a composite number?
False
Is 730764497 a composite number?
False
Is 3889860893 a composite number?
False
Is 779658533 a composite number?
True
Is 1217032171 a prime number?
True
Is 67741210583 prime?
True
Is 9772470931 composite?
True
Is 136524749 a composite number?
True
Is 363706597 composite?
True
Is 44171303399 composite?
True
Is 1171800793 composite?
True
Is 2197061149 composite?
False
Is 1492099031 a composite number?
False
Is 359106019 a prime number?
True
Is 1321386071 composite?
True
Is 12568697137 a composite number?
True
Is 918427931 prime?
True
Is 30344035259 prime?
True
Is 1036981999 composite?
True
Is 22211327 prime?
True
Is 36253735121 composite?
False
Is 5677176563 a composite number?
False
Is 267862297 prime?
True
Is 6696765191 a prime number?
False
Is 359663503 a composite number?
True
Is 6559224953 prime?
False
Is 31689509899 a prime number?
True
Is 325761349 a prime number?
True
Is 2264904799 composite?
True
Is 474618077 a composite number?
False
Is 34304033 a composite number?
False
Is 315395621 a composite number?
True
Is 83304219413 composite?
False
Is 76082004113 a composite number?
False
Is 1007962537 prime?
False
Is 56629373033 prime?
True
Is 561756697 composite?
True
Is 2948858527 prime?
False
Is 516832387 a prime number?
True
Is 4773504499 composite?
True
Is 513027763 prime?
True
Is 1857169519 a composite number?
True
Is 4641592367 prime?
True
Is 16622233 prime?
True
Is 4082030759 a composite number?
False
Is 1770754597 composite?
False
Is 49201495019 prime?
False
Is 35341496347 a prime number?
True
Is 9932101 prime?
True
Is 14918526967 prime?
True
Is 935461783 a prime number?
False
Is 832542199 composite?
False
Is 2346031283 a prime number?
True
Is 118993519261 a prime number?
True
Is 865493717 a composite number?
True
Is 606652883 prime?
True
Is 29508197 a composite number?
True
Is 8615499311 a prime number?
True
Is 3452143391 composite?
False
Is 5607224587 a prime number?
True
Is 10935075881 prime?
True
Is 5822058383 composite?
False
Is 1112205797 a composite number?
True
Is 4329691501 a composite number?
False
Is 58197434969 composite?
False
Is 375617273 composite?
True
Is 11166438761 composite?
True
Is 3538966591 a composite number?
False
Is 33015896321 prime?
True
Is 86986787987 a composite number?
True
Is 12032177 prime?
False
Is 85432104377 prime?
False
Is 1247183159 prime?
False
Is 7352555627 a composite number?
True
Is 18784760593 a composite number?
False
Is 6807495451 a composite number?
False
Is 12327789959 composite?
False
Is 12219516899 prime?
True
Is 5369205355 a composite number?
True
Is 84499869631 a composite number?
True
Is 15154306081 a prime number?
False
Is 305498371 a composite number?
False
Is 41347320123 prime?
False
Is 7465076162 a composite number?
True
Is 1176343843 composite?
False
Is 2738019819 a composite number?
True
Is 3781816673 a prime number?
True
Is 2899157993 a prime number?
True
Is 1950709637 composite?
False
Is 33595045297 a prime number?
False
Is 7873111537 a composite number?
False
Is 567374261 prime?
True
Is 12061904849 a prime number?
True
Is 2716066909 a composite number?
False
Is 15202703 prime?
True
Is 88398601957 a composite number?
False
Is 379402171 composite?
True
Is 8037317437 composite?
True
Is 801150659 a composite number?
True
Is 5576064119 prime?
True
Is 3174686899 composite?
True
Is 109494920347 a composite number?
False
Is 11350505297 prime?
True
Is 5017941437 composite?
True
Is 1323149023 composite?
True
Is 35922541 a composite number?
False
Is 10835339167 a composite number?
False
Is 2558585683 composite?
False
Is 3050581571 prime?
False
Is 15903500147 prime?
True
Is 5549716547 a prime number?
False
Is 12032523871 a prime number?
False
Is 676984061 composite?
True
Is 12110209415 prime?
False
Is 945888397 prime?
True
Is 428063087 prime?
True
Is 1005188761 prime?
True
Is 34274132017 a prime number?
True
Is 4307359007 a prime number?
False
Is 621533747 prime?
True
Is 1215696397 prime?
False
Is 5456257447 composite?
False
Is 21077527 composite?
False
Is 2558945717 composite?
True
Is 10175996057 prime?
True
Is 12961378253 composite?
True
Is 453051437 a prime number?
True
Is 804254047 prime?
False
Is 2474839203 a prime number?
False
Is 3949350841 a prime number?
True
Is 156135386569 prime?
True
Is 32961463159 composite?
False
Is 8555019335 prime?
False
Is 15031822874 a prime number?
False
Is 8075045939 prime?
True
Is 343597663 prime?
True
Is 157250713 a composite number?
True
Is 23794683677 composite?
True
Is 10967466997 prime?
True
Is 57431625331 composite?
False
Is 4607158897 prime?
False
Is 52233991 a composite number?
True
Is 2965535159 a composite number?
True
Is 2945760287 composite?
True
Is 2284821061 composite?
True
Is 239199329 a prime number?
True
Is 12740702209 a prime number?
True
Is 12096746573 a composite number?
False
Is 2897153471 a composite number?
False
Is 165787577 composite?
True
Is 93866177 composite?
False
Is 9893733589 prime?
False
Is 377976103 prime?
False
Is 3848804683 prime?
True
Is 126650773 a prime number?
True
Is 399189649 composite?
False
Is 397932023 prime?
True
Is 11290882831 composite?
False
Is 119460059 prime?
False
Is 346162493 composite?
False
Is 649839371 prime?
True
Is 9422108287 a composite number?
True
Is 14233151297 a composite number?
False
Is 65312339867 prime?
True
Is 1308351971 composite?
False
Is 18321115723 a prime number?
False
Is 6784562857 a composite number?
False
Is 1131562751 composite?
True
Is 5474844241 composite?
False
Is 828278747 a composite number?
False
Is 1156555003 composite?
True
Is 2483213453 a composite number?
True
Is 751998827 a composite number?
False
Is 6172786127 composite?
True
Is 20803613683 a composite number?
True
Is 248955319 a composite number?
False
Is 5719129501 composite?
False
Is 1219674347 a prime number?
False
Is 15985530011 prime?
False
Is 11865821369 composite?
True
Is 108631989363 a composite number?
True
Is 11366773661 a composite number?
False
Is 101690779067 a composite number?
True
Is 6310463047 a composite number?
True
Is 1716369185 a prime number?
False
Is 18085538351 composite?
True
Is 681447941 composite?
True
Is 5606706397 a prime number?
True
Is 2179393103 prime?
True
Is 69394129447 a prime number?
True
Is 177756577 a composite number?
False
Is 26786518393 a composite number?
True
Is 33274110179 composite?
True
Is 19121640371 prime?
False
Is 653369569 prime?
False
Is 25236459821 a prime number?
True
Is 6578821751 a prime number?
True
Is 6511510077 composite?
True
Is 4222428761 prime?
True
Is 146834759 composite?
True
Is 1612662101 a composite number?
False
Is 10557124873 prime?
True
Is 1799135761 a prime number?
True
Is 1719334367 a prime number?
False
Is 448052807 a composite number?
True
Is 33287190283 composite?
False
Is 257304083 composite?
False
Is 83731706813 prime?
False
Is 2219475197 a prime number?
False
Is 25203556207 composite?
False
Is 2283436769 a composite number?
False
Is 2721801637 composite?
False
Is 23474599 a prime number?
True
Is 14644453831 composite?
True
Is 101413573 prime?
False
Is 318306773 a prime number?
True
Is 10797414671 prime?
False
Is 912841063 composite?
True
Is 5074022197 a prime number?
True
Is 436085879 prime?
False
Is 27275231701 composite?
False
Is 596639917 a composite number?
False
Is 11707323413 prime?
True
Is 1604574823 prime?
True
Is 235717351 a composite number?
True
Is 7017303281 a composite number?
True
Is 5567286727 composite?
False
Is 4051734433 prime?
True
Is 41217046951 prime?
True
Is 5027662543 composite?
False
Is 2375881091 prime?
True
Is 9290642719 a prime number?
False
Is 152525447 a prime number?
True
Is 187702155919 composite?
False
Is 2150211241 a prime number?
False
Is 74016541 a prime number?
True
Is 2375216663 prime?
True
Is 1062098377 a prime number?
False
Is 1307758537 prime?
True
Is 287432237039 prime?
True
Is 31159574179 composite?
False
Is 32984577503 a prime number?
True
Is 5762022337 a composite number?
False
Is 306
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 11.
8
Suppose 2921 = 23*b + 61*b + 737. Let u(c) = c**2 + c + 9. Let k be 6/10 + (-3)/5. What is the remainder when b is divided by u(k)?
8
Suppose -146*i = 5*l - 148*i - 3496, 4*i + 2092 = 3*l. Calculate the remainder when l is divided by 656.
44
Let d = -109 + 391. Suppose -6*u + d = -48. Let t = u - 38. What is the remainder when 30 is divided by t?
13
Let f = -77 - -92. Let j = 18 - 30. Let x = j + 36. Calculate the remainder when x is divided by f.
9
Suppose -l + x - 5*x + 20 = 0, -l - 3*x = -15. Let k be l*(11/(-3) - -4). Suppose -u - 4*u + 110 = k. What is the remainder when 84 is divided by u?
18
Let g = 47 - 24. Suppose -19*o = -3*y - g*o + 94, 0 = 4*y - 2*o - 96. What is the remainder when 48 is divided by y?
22
Let v(l) = -l**2 + 30*l - 171. Suppose 2*f - 3 = -5*p, -p = -0*f + f. Calculate the remainder when 8/(2 + (p - 2)) is divided by v(22).
3
Suppose 77 = 2*d + 87, -y + 1573 = 2*d. Let h = 1612 - y. Let i = 104 + -33. Calculate the remainder when i is divided by h.
13
Let j = 19939 - 19719. What is the remainder when j is divided by 298/8 - (-5)/(-20)?
35
Let q(h) = h**2 + 7*h + 12. Suppose -857 - 466 = 7*j. Let s be (1/(-3))/((-9)/j). What is the remainder when 34 is divided by q(s)?
10
Let k be (-1 - 2 - -2)*13. Calculate the remainder when (8/(-12))/((-4)/462) is divided by (k/(-4)*8)/(0 + 1).
25
Let x(m) be the second derivative of m**5/4 - 7*m**4/6 + m**2 - 9*m - 2. Let n(b) = b + 2. What is the remainder when x(3) is divided by n(5)?
4
Let t = 3697 + -1912. Calculate the remainder when t is divided by 19.
18
Let z(a) = -164 + 45 + 48 + 9*a + 40. Calculate the remainder when 9 is divided by z(4).
4
Suppose -58*q + 408 = -61*q. Let g = q - -309. What is the remainder when g is divided by 59?
55
Suppose -95*o + 93*o + 153 = 5*m, -161 = -5*m - 4*o. What is the remainder when m is divided by (3 + -1)/((-2)/(-10))?
9
Suppose 4*a + 29 = -5*j, 2*j + 15 = -6*a + a. Let y(x) = -x**3 + 14*x**2 - 31*x - 4. Calculate the remainder when y(9) is divided by (287/35)/((-1)/j).
40
Let s = 10112 - 9739. Calculate the remainder when 390 is divided by s.
17
Suppose 193*k - 147434 = -30862. What is the remainder when 1834 is divided by k?
22
Let w = -9796 + 10095. Calculate the remainder when 602 is divided by w.
4
Suppose h - 12 = 5*z + 26, 0 = h + z - 38. Let f = -23 - -364. Calculate the remainder when f is divided by h.
37
Let d = -5481 - -5704. Calculate the remainder when 693 is divided by d.
24
Suppose -80*n + 78*n = -4*a + 266, 2*n = 18. Calculate the remainder when 1156 is divided by a.
20
Let v = 13 - 3. Let r(z) = -21 - 60*z + 7 + 61*z. What is the remainder when v is divided by r(22)?
2
Let x(o) = o**3 + 17*o**2 + 48*o + 30. What is the remainder when 116 is divided by x(-13)?
34
Suppose -4*z - 4*b = -1992, 60*z + 1999 = 64*z - 3*b. What is the remainder when z is divided by 35?
9
Let c(n) = 13 + 1578*n**2 - 1577*n**2 - 12*n + 3*n. Let o = -7 + 15. What is the remainder when c(o) is divided by 2?
1
Let v(u) = -2*u - 2. Let s be v(-2). Let f(d) = 110413*d + 10*d**3 - 110413*d - 3*d**2 + 1. Calculate the remainder when f(s) is divided by 8.
5
Let f(n) = -47*n + 1592. What is the remainder when f(19) is divided by 18?
15
Let b be ((-4)/3)/((-6)/9). Let h(k) = -110*k - 4. Let f(n) = 70*n + 3. Let d(x) = 8*f(x) + 5*h(x). What is the remainder when d(b) is divided by 20?
4
Let n(f) = -21*f - 2*f + 30*f + 118. What is the remainder when 53 is divided by n(-13)?
26
Suppose 0 = 58*w + 1850 - 7534. Calculate the remainder when 375 is divided by w.
81
Suppose 0 = -4*p - 2*y + 146, -4*y + 92 = 3*p + y. Suppose 15262*v - 1216 = 15246*v. Calculate the remainder when v is divided by p.
37
Let z(k) = -19*k + 918. What is the remainder when z(-22) is divided by 9?
4
Let x(y) = 58*y**2 + 11*y + 41. Let q be x(-5). Let k = q - 977. What is the remainder when k is divided by 33?
30
Suppose 2535 - 22200 = -23*g. Let u = -821 + g. What is the remainder when 82 is divided by u?
14
Let q = 231 - 109. Let t be 3*(150/(-18) + 4 - -4). What is the remainder when q is divided by (-29 - -28)/(t/41)?
40
Suppose -23*q - 2*c = -18*q - 889, 3*c = 3*q - 504. What is the remainder when q is divided by 81?
13
Suppose -10954*f + 10966*f = 552. Calculate the remainder when 3155 is divided by f.
27
Let j(m) = 6*m**2 + 1. Let b be j(1). Suppose -16*c + 198 = -b*c. Calculate the remainder when 306 is divided by c.
20
Suppose 2*q - 2 = w - 0*q, -3*w + 16 = 5*q. Let c = -1301 + 1301. Suppose c = w*v - 78 + 10. What is the remainder when v is divided by 7?
6
Let m be ((-111)/(-5))/(19/(-95)). Let d = m + 305. Calculate the remainder when d is divided by (205/10 - -4)/((-1)/(-2)).
47
Let j(w) = 13*w**2 + 427*w - 32. Calculate the remainder when 529 is divided by j(-33).
19
Let f(c) = -3*c**2 + 53*c + 34. Let j be f(16). Calculate the remainder when 81 is divided by j/3 + 12/(-9 - -13).
40
Let r(h) = -15*h**3 + 31*h + 208. Let u(v) = 7*v**3 - v**2 - 15*v - 104. Let s(a) = -6*r(a) - 13*u(a). What is the remainder when s(14) is divided by 18?
16
Let p(o) = o**3 + 5*o**2. Let g be p(-5). Let q = g + 1. Let l = 17 + q. Calculate the remainder when l is divided by 10.
8
Calculate the remainder when (-1128)/(16 + (-15 - 2)) is divided by 80.
8
Let p = 2 - -3. What is the remainder when 17 - 15 - (14 + -60) is divided by p?
3
Suppose -j = 2*g - 24, -g + 32 = 2*j - 5*g. Let r(t) = 2*t - 7. Let q be r(-5). Let z = q + j. What is the remainder when 9 is divided by z?
0
Let o = -11560 - -11954. What is the remainder when o is divided by 78?
4
Let h(f) = f**2 + 60*f - 1162. What is the remainder when 4911 is divided by h(-76)?
51
Suppose 26*x + 5 = 21*x, -3*t = -2*x - 131. Let o = 81 - t. What is the remainder when 69 is divided by o?
31
Suppose -161263*a = -161271*a + 61760. What is the remainder when a is divided by 286?
284
Suppose 0 = -5*v + 5*x + 5030, -v = -3*v - 4*x + 2000. Let w(h) = -30*h + 1974. What is the remainder when v is divided by w(63)?
80
Suppose -1323*d - 496 = -1385*d. What is the remainder when 21 is divided by d?
5
Let f(m) = m**2 - 4*m - 12. Let k(v) = v - 29 + v - 15*v + 4*v. Calculate the remainder when f(8) is divided by k(-4).
6
Calculate the remainder when 314 is divided by 53/(-689) - (-1146)/26.
6
Suppose -3*r = -8*r + 4*p - 18, 3*r = 2*p - 10. Let b(f) = 5*f**2 + 2*f - 1. Calculate the remainder when (-6)/9 - (-5)/(45/384) is divided by b(r).
12
Suppose o = 4*v - 2120, 5*o = -0*v + 2*v - 1060. Let l = v + -214. What is the remainder when l is divided by 40?
36
Suppose -5*i - 5*k + 140 = 0, 0 = k + 96 - 102. Calculate the remainder when 6861 is divided by i.
19
Let n(x) = -10*x**3 + 105*x**2 - 3*x + 18. Calculate the remainder when n(9) is divided by 49.
30
Calculate the remainder when (22/33)/(4/31962) is divided by 24.
23
Calculate the remainder when 674 is divided by 22/1*(-25651)/(-2486).
220
Let g = -516 - -819. Let b = g - 266. Calculate the remainder when b is divided by 29.
8
Calculate the remainder when -158*2*6/(-24) is divided by (-1 - 12/(-9)) + 105/9.
7
Suppose -k + 42 = -3*a, -3*k + 91 = 3*a + 13. Suppose k*i = 343 - 103. Calculate the remainder when 45 is divided by i.
5
Calculate the remainder when 110 + 4 + 5/(-1) is divided by (34/(-70) + 640/2240)*5*-11.
10
What is the remainder when -1*14 - (-10428)/66 is divided by 62?
20
Suppose 3*z - 3*m - 231 = 0, -3*z - 4*m = -380 + 100. Calculate the remainder when 8230 is divided by z.
82
Suppose 1153 = -35*f - 1993 + 16236. Calculate the remainder when f is divided by 145.
84
Let r be 2096/20*45/6. Suppose 37*v - 583 = r. Calculate the remainder when 587 is divided by v.
32
Let w(b) = -8*b - 5. Suppose 2*d = 3*d - f - 340, -3*d + 1020 = 4*f. Let r = d - 262. What is the remainder when r is divided by w(-4)?
24
Calculate the remainder when (7 + -13)*((-10290)/18)/7 is divided by 26.
22
Let a(h) = h**2 + 2*h - 7. Let z be a(6). Let n = z + -18. Calculate the remainder when n is divided by 1 + (-42)/6 - -18.
11
Suppose -39 = -6*y + 3. Let i(b) = -b**3 + 8*b**2 - 6*b + 4. Calculate the remainder when 13 is divided by i(y).
2
Calculate the remainder when (4 + -1)*(-26 + 8450/30) is divided by 254.
5
Calculate the remainder when 629 is divided by -3 + (5 - (18 - 10)) - (-1 + -138).
97
|
{
"pile_set_name": "DM Mathematics"
}
|
- 31085*x/4 + 73425/4 = 0?
-3, 11/6, 5, 89
Determine t, given that -3*t**5 + 339*t**4 - 7734*t**3 - 25266*t**2 - 25959*t - 8769 = 0.
-1, 37, 79
Factor -z**2/3 - 23629072*z/3 - 7876357.
-(z + 1)*(z + 23629071)/3
Solve -2*a**5/15 + 50*a**4/3 - 10808*a**3/15 + 188488*a**2/15 - 1136096*a/15 + 1600768/15 = 0.
2, 8, 26, 37, 52
Suppose 4*z**3 + 38292*z**2 + 802784*z + 3973632 = 0. What is z?
-9552, -13, -8
What is v in 2*v**3 - 5300*v**2 + 275062*v + 571340 = 0?
-2, 55, 2597
Let 16*o**2 - 208001964*o - 52000492 = 0. Calculate o.
-1/4, 13000123
Let s**5/3 - 331*s**4/3 + 10623*s**3 - 824681*s**2/3 + 8263574*s/3 - 9615144 = 0. What is s?
11, 126, 172
Solve -5*x**2/6 - 699468505*x/3 - 97851237897387005/6 = 0.
-139893701
Factor 3*v**2 + 115569222*v + 1113020422807107.
3*(v + 19261537)**2
Determine x so that 4*x**2 - 9916*x - 10476488 = 0.
-799, 3278
Find t, given that -t**5 - 434*t**4 + 10562*t**3 + 23284*t**2 - 10561*t - 22850 = 0.
-457, -2, -1, 1, 25
Let -2*g**4/3 + 106*g**3 - 6376*g**2/3 - 129800*g = 0. Calculate g.
-25, 0, 66, 118
Solve n**4/6 + 12373*n**3/3 + 67057727*n**2/2 + 297459614698*n/3 + 288985465566338/3 = 0.
-9959, -2414
Let 3*o**5 - 774*o**4 - 2124*o**3 + 6663192*o**2 + 232328448*o + 437999616 = 0. Calculate o.
-48, -2, 178
Factor 33933948206349636*a**2 - 1473693552*a + 16.
4*(92105847*a - 2)**2
Factor -2*x**2/7 + 69150*x/7 + 69164.
-2*(x - 34582)*(x + 7)/7
Suppose 5*h**5 - 350*h**4 + 4695*h**3 + 41850*h**2 = 0. Calculate h.
-6, 0, 31, 45
Factor 3*g**2 + 449351490*g + 16826396797101675.
3*(g + 74891915)**2
What is n in -3*n**5 + 15352*n**4 + 2822745*n**3 + 84129438*n**2 + 716031296*n + 440796672 = 0?
-144, -17, -2/3, 5296
What is v in -3*v**4/4 + 465*v**3/2 + 5220*v**2 - 4185*v/2 - 187677/4 = 0?
-21, -3, 3, 331
Factor -2*a**4/3 + 46478*a**3/3 - 2312650*a**2 + 86583750*a.
-2*a*(a - 23089)*(a - 75)**2/3
Let 5*m**2 - 127740*m - 1405745 = 0. What is m?
-11, 25559
Determine n, given that 3*n**4/4 - 1353*n**3/4 + 28059*n**2/4 + 110145*n/4 - 160875/2 = 0.
-5, 2, 25, 429
Find a such that -a**2/3 - 1078814*a = 0.
-3236442, 0
Find d such that -2*d**4 + 6356*d**3 + 19086*d**2 = 0.
-3, 0, 3181
What is y in -30*y**5 - 12085*y**4 - 833130*y**3 + 5291220*y**2 - 10778200*y + 7250880 = 0?
-312, -581/6, 2
Find k such that -5*k**2 + 138530*k - 9259065 = 0.
67, 27639
Find b such that -b**2 + 3285728*b - 2699002122496 = 0.
1642864
Find i such that 319*i**3/4 + 10342297*i**2/2 + 335307416511*i/4 - 1051121241 = 0.
-32421, 4/319
Solve 3*x**4/4 - 9888*x**3 - 356211*x**2/4 = 0.
-9, 0, 13193
Find g such that 2*g**4/13 + 65428*g**3/13 - 14360120*g**2/13 - 58225552*g/13 - 58487232/13 = 0.
-32932, -2, 222
Factor -b**2/2 + 2927*b + 942480.
-(b - 6160)*(b + 306)/2
Suppose 4*x**3 - 154020*x**2 + 64737696*x - 64583680 = 0. Calculate x.
1, 424, 38080
Let -2*q**4/7 + 490*q**3 - 37550*q**2/7 + 105690*q/7 - 10224 = 0. What is q?
1, 3, 7, 1704
Factor -3*v**2 - 32071212*v - 85713553262412.
-3*(v + 5345202)**2
Factor -3*h**3 - 219168*h**2 + 3068793*h - 10741290.
-3*(h - 7)**2*(h + 73070)
Factor -136*c**3 + 78199*c**2 - 155281*c - 1146.
-(c - 573)*(c - 2)*(136*c + 1)
Find q, given that 5*q**5 - 155*q**4 - 3805*q**3 - 13005*q**2 - 9360*q = 0.
-13, -3, -1, 0, 48
Let -5*o**3 + 111661930*o**2 - 623419218904300*o - 1246838884456360 = 0. Calculate o.
-2, 11166194
Let -2*q**2/17 + 3709150*q/17 - 3709148/17 = 0. What is q?
1, 1854574
Factor 3*b**2 + 1295913*b - 2591838.
3*(b - 2)*(b + 431973)
Determine z, given that -3*z**2/4 + 8879139*z/4 + 22197885/2 = 0.
-5, 2959718
Find g such that -g**3/4 + 821*g**2/2 + 11663*g/4 - 49470 = 0.
-15, 8, 1649
Factor 5*a**3 + 10875*a**2 + 3346875*a + 279453125.
5*(a + 175)**2*(a + 1825)
Suppose -5*u**2 + 595875*u + 9535280 = 0. Calculate u.
-16, 119191
Find w such that -2*w**4/5 + 1016*w**3/5 + 52578*w**2/5 - 45288*w = 0.
-51, 0, 4, 555
Factor -2*r**2/5 + 3206*r + 903952/5.
-2*(r - 8071)*(r + 56)/5
Factor 2*r**5 - 517616*r**4 - 7764540*r**3 - 38823200*r**2 - 64705750*r.
2*r*(r - 258823)*(r + 5)**3
Suppose d**2/2 + 11322721*d + 128204010843841/2 = 0. What is d?
-11322721
Solve 2*o**3 + 203418*o**2 + 5145507120*o - 1367374975096 = 0 for o.
-50986, 263
Factor x**2/4 - 1630723*x/2 + 3261445/4.
(x - 3261445)*(x - 1)/4
Find u, given that -u**2/3 - 1839920*u/3 - 7359664/3 = 0.
-1839916, -4
Find f, given that -874*f**5/5 - 1358166*f**4/5 - 4020098*f**3/5 + 145806*f**2/5 + 18612*f/5 = 0.
-1551, -3, -1/19, 0, 2/23
Factor -4*g**2 + 830296*g - 7472340.
-4*(g - 207565)*(g - 9)
Solve -3*h**4/2 + 109323*h**3/2 - 498662565*h**2 + 12434935104*h - 22875657216 = 0 for h.
2, 23, 18208
What is y in 553536*y**3 + 53206990368*y**2 + 286059076*y + 384488 = 0?
-96122, -1/372
Solve 2*f**3/7 + 2442*f**2/7 - 19640*f/7 + 29496/7 = 0.
-1229, 2, 6
Find s such that s**5/2 - 12290*s**4 - 8094451*s**3/2 + 4059515*s**2 = 0.
-326, 0, 1, 24905
Factor c**4/6 + 114361*c**3/6 - 228728*c**2/3 + 228730*c/3.
c*(c - 2)**2*(c + 114365)/6
Determine x so that -77*x**4/6 - 143833*x**3/6 + 1015459*x**2/6 - 494365*x/2 + 9375 = 0.
-1875, 3/77, 2, 5
Determine c so that -8*c**4 + 481911*c**3 - 903553*c**2 - 120474*c = 0.
-1/8, 0, 2, 60237
Determine o, given that 2*o**4/11 - 3819408*o**3/11 - 3819410*o**2/11 = 0.
-1, 0, 1909705
Factor y**2 + 30996*y + 7625504.
(y + 248)*(y + 30748)
Solve 2*l**4 + 1080108*l**3 + 15121218*l**2 + 52923920*l = 0.
-540040, -7, 0
Factor -2*i**2/7 + 463306*i + 3243156.
-2*(i - 1621578)*(i + 7)/7
Factor -j**2 + 243825634*j - 14862734948875489.
-(j - 121912817)**2
Factor d**2/2 + 174325*d + 13595829/2.
(d + 39)*(d + 348611)/2
Factor 4*u**2 - 17642*u + 1639890.
2*(u - 95)*(2*u - 8631)
Suppose 5*l**3 + 382113135*l**2 + 764226255*l + 382113125 = 0. What is l?
-76422625, -1
Factor 26*c**2/3 + 7318*c + 1339776.
2*(c + 576)*(13*c + 3489)/3
Solve -915*i**5/2 + 7255*i**4/4 + 2875*i**3/2 - 25425*i**2/4 + 6865*i/2 + 130 = 0 for i.
-2, -13/366, 1, 4
Let 3*o**5/5 - 264*o**3 + 738*o**2 + 72597*o/5 - 14994 = 0. What is o?
-21, -7, 1, 10, 17
Factor -4*c**2/3 - 62568*c + 169467456.
-4*(c - 2568)*(c + 49494)/3
Determine k so that 9*k**5 + 42664989*k**4 - 170660055*k**3 + 213325107*k**2 - 85330050*k = 0.
-14221675/3, 0, 1, 2
Factor z**2 + 6810*z - 15518824.
(z - 1802)*(z + 8612)
Factor -2*o**3/3 + 45424*o**2 - 3358638*o + 186353756/3.
-2*(o - 68062)*(o - 37)**2/3
Factor -3*x**2 + 56319*x - 4597986.
-3*(x - 18691)*(x - 82)
Suppose 6*k**3/5 + 22491402*k**2/5 + 4215519618618*k - 12646599340410 = 0. Calculate k.
-1874285, 3
Solve -26*z**2 - 318514*z + 1102860 = 0.
-12254, 45/13
Suppose -k**2 - 44503*k + 267054 = 0. What is k?
-44509, 6
Factor -6*t**5/5 + 608526*t**4/5 - 121704*t**3.
-6*t**3*(t - 101420)*(t - 1)/5
Factor 18*c**3 - 11431041*c**2 + 1814842079964*c + 302473997523.
3*(c - 317529)**2*(6*c + 1)
Determine h so that -2*h**2/23 - 24360236*h/23 - 74177637246962/23 = 0.
-6090059
Factor -d**3 - 759*d**2 + 6904*d - 6144.
-(d - 8)*(d - 1)*(d + 768)
Factor -t**4 + 84758*t**3 - 1791991597*t**2 - 169009316676*t - 3976123736484.
-(t - 42426)**2*(t + 47)**2
Solve -15*w**2 - 817190*w - 101100920 = 0.
-163066/3, -124
Factor -t**2 + 369873778*t - 34201652912998321.
-(t - 184936889)**2
Let 5*x**4 - 6040*x**3 - 666140*x**2 - 2567600*x = 0. Calculate x.
-98, -4, 0, 1310
Find s such that s**5/3 + 91*s**4/3 - 4038*s**3 + 224996*s**2/3 + 158840*s/3 - 3291200 = 0.
-170, -6, 8, 22, 55
Let -16*m**3 - 279733724*m**2 - 1222671157891224*m + 305667806956164 = 0. What is m?
-8741679, 1/4
Find q such that -q**3/2 - 8316077*q**2 - 69157136669929*q/2 = 0.
-8316077, 0
Find b, given that b**2 + 14497322*b + 52543086292921 = 0.
-7248661
Find l, given that 2*l**3/3 + 464*l**2 + 21102*l - 64700/3 = 0.
-647, -50, 1
Find t, given that -2*t**2 - 2516590*t = 0.
-1258295, 0
Find t, given that -4*t**4/5 + 408*t**3 + 622048*t**2/5 + 42823296*t/5 + 96671232 = 0.
-108, -14, 740
Factor -j**2/5 - 1320234*j/5 - 2640464/5.
-(j + 2)*(j + 1320232)/5
Suppose -15*v**3 + 96320*v**2 - 98720095*v - 65856210 = 0. What is v?
-2/3, 1281, 5141
Find n, given that n**3/2 - 3456034*n**2 + 6912067*n/2 = 0.
0, 1, 6912067
Factor 3*u**2 - 84899808*u + 600664783203072.
3*(u - 14149968)**2
Find x, given that -2*x**4 - 2160*x**3 - 200630*x**2 + 617040*x - 414248 = 0.
-977, -106, 1, 2
Factor -3*r**2 + 64674837*r + 64674840.
-3*(r - 21558280)*(r + 1)
Factor -4*t*
|
{
"pile_set_name": "DM Mathematics"
}
|
nce me?
3/20
Two letters picked without replacement from {p: 2, c: 1, f: 1, s: 1, b: 2, g: 1}. What is prob of sequence gb?
1/28
Two letters picked without replacement from illbiiililbii. What is prob of sequence il?
7/39
Calculate prob of sequence vjy when three letters picked without replacement from jvjpjpvcjy.
1/90
What is prob of sequence uee when three letters picked without replacement from {y: 1, g: 1, e: 2, r: 1, u: 2}?
2/105
What is prob of sequence ina when three letters picked without replacement from {r: 2, n: 3, a: 1, v: 6, i: 2}?
1/364
Calculate prob of sequence pk when two letters picked without replacement from bpzcpzckzccc.
1/66
What is prob of sequence fll when three letters picked without replacement from {l: 2, f: 5, n: 2}?
5/252
Calculate prob of sequence een when three letters picked without replacement from leeelllllllllnnlnl.
1/272
Three letters picked without replacement from ooooo. Give prob of sequence ooo.
1
Three letters picked without replacement from pwpzkupwpowkwkzppo. What is prob of sequence kpw?
1/68
Two letters picked without replacement from pyypypyppyn. What is prob of sequence yn?
1/22
Three letters picked without replacement from {c: 8, q: 2, t: 2}. Give prob of sequence qtc.
4/165
Calculate prob of sequence jr when two letters picked without replacement from {r: 1, q: 1, t: 1, b: 1, s: 2, j: 1}.
1/42
Four letters picked without replacement from {y: 3, o: 3, q: 3, d: 8}. Give prob of sequence dooy.
3/1190
Calculate prob of sequence hhh when three letters picked without replacement from {l: 7, h: 12}.
220/969
What is prob of sequence xsr when three letters picked without replacement from ssurxarhsxr?
1/55
Four letters picked without replacement from {o: 11, n: 1}. Give prob of sequence oooo.
2/3
Calculate prob of sequence nnkk when four letters picked without replacement from {n: 9, k: 9}.
6/85
What is prob of sequence ovvv when four letters picked without replacement from oovavavaaa?
1/420
Three letters picked without replacement from {x: 2, o: 2, g: 1, i: 1, l: 1}. What is prob of sequence oxx?
2/105
Calculate prob of sequence yaxg when four letters picked without replacement from {a: 2, y: 1, w: 2, x: 1, g: 1, v: 1}.
1/840
Two letters picked without replacement from {k: 2, t: 1, w: 1}. Give prob of sequence tw.
1/12
Three letters picked without replacement from {h: 1, x: 3, f: 3, m: 3, b: 1, z: 7}. What is prob of sequence zzz?
35/816
What is prob of sequence ou when two letters picked without replacement from {i: 2, o: 1, u: 2}?
1/10
Three letters picked without replacement from {r: 4, n: 4, j: 3}. What is prob of sequence nnn?
4/165
What is prob of sequence bb when two letters picked without replacement from buubbuu?
1/7
Two letters picked without replacement from pffrrppncfnffonrf. Give prob of sequence fc.
3/136
Calculate prob of sequence ytzz when four letters picked without replacement from {z: 8, t: 2, l: 7, y: 1}.
7/4590
What is prob of sequence zzwb when four letters picked without replacement from {w: 8, z: 4, b: 5}?
1/119
Four letters picked without replacement from kkkkkkkkkkuku. Give prob of sequence kkku.
3/26
What is prob of sequence tt when two letters picked without replacement from atttttttatt?
36/55
What is prob of sequence oo when two letters picked without replacement from ooooooooooooooxoooo?
17/19
Two letters picked without replacement from kkkhhkkkkkkh. Give prob of sequence kk.
6/11
Four letters picked without replacement from {f: 5, j: 6, t: 4, p: 1}. What is prob of sequence jjft?
5/364
What is prob of sequence og when two letters picked without replacement from {j: 8, g: 2, o: 1, s: 2, k: 1}?
1/91
Two letters picked without replacement from kknyfykyysyy. Give prob of sequence kn.
1/44
Calculate prob of sequence zz when two letters picked without replacement from zrzrrzrrnji.
3/55
What is prob of sequence mff when three letters picked without replacement from vmvfvmfv?
1/84
Calculate prob of sequence rvf when three letters picked without replacement from {r: 2, v: 4, g: 2, e: 3, k: 1, f: 3}.
4/455
Three letters picked without replacement from {n: 3, a: 2, s: 2, f: 4}. Give prob of sequence faa.
4/495
What is prob of sequence rsrr when four letters picked without replacement from rrssrsrsrssrssrssss?
35/1292
What is prob of sequence gb when two letters picked without replacement from {g: 3, z: 2, h: 1, b: 4}?
2/15
What is prob of sequence zzfz when four letters picked without replacement from ffffzffzffffffzf?
1/560
What is prob of sequence qggz when four letters picked without replacement from azgqzqzapzqzgq?
5/3003
Four letters picked without replacement from mmmtmgmmmg. What is prob of sequence gtgm?
1/360
What is prob of sequence ccl when three letters picked without replacement from {l: 13, c: 6}?
65/969
What is prob of sequence okk when three letters picked without replacement from {k: 3, q: 1, o: 1, s: 1, d: 1}?
1/35
What is prob of sequence vvvv when four letters picked without replacement from {v: 5}?
1
What is prob of sequence vvvg when four letters picked without replacement from {g: 6, v: 6}?
2/33
What is prob of sequence tyzy when four letters picked without replacement from qztdttqqtzytyttza?
1/1360
Calculate prob of sequence ygo when three letters picked without replacement from grdoy.
1/60
Two letters picked without replacement from {g: 5, y: 3, l: 1, c: 1}. What is prob of sequence yc?
1/30
Two letters picked without replacement from {y: 1, b: 17, f: 1}. What is prob of sequence fb?
17/342
Calculate prob of sequence ww when two letters picked without replacement from {i: 1, e: 1, w: 2, r: 2}.
1/15
Two letters picked without replacement from ccbccyccycccbcbcc. What is prob of sequence cc?
33/68
Four letters picked without replacement from zqzzzeezzeeeez. What is prob of sequence ezez?
15/286
Three letters picked without replacement from {z: 1, y: 1, q: 1, i: 2, m: 2}. What is prob of sequence qii?
1/105
Three letters picked without replacement from urwrqaquujwuurujura. What is prob of sequence wra?
8/2907
Two letters picked without replacement from {o: 2, s: 6}. Give prob of sequence os.
3/14
Three letters picked without replacement from {k: 2, x: 1, e: 5, c: 7, l: 1}. Give prob of sequence ekk.
1/336
What is prob of sequence ss when two letters picked without replacement from spsppppp?
1/28
Two letters picked without replacement from {w: 5, v: 4, n: 3}. Give prob of sequence vn.
1/11
Three letters picked without replacement from urlru. Give prob of sequence ruu.
1/15
Two letters picked without replacement from {a: 2, r: 1, h: 3, s: 1, n: 7}. What is prob of sequence sn?
1/26
Three letters picked without replacement from {u: 1, z: 2}. Give prob of sequence zzu.
1/3
What is prob of sequence bs when two letters picked without replacement from shbshhhdhhsssshhshh?
7/342
Calculate prob of sequence tttt when four letters picked without replacement from ttttttttatat.
14/33
Four letters picked without replacement from oooooohohhoohh. What is prob of sequence hooo?
15/143
Four letters picked without replacement from {b: 3, u: 2, i: 12, z: 3}. What is prob of sequence buiz?
3/1615
Calculate prob of sequence aao when three letters picked without replacement from oaaaaoaooorarrrrroa.
14/323
Four letters picked without replacement from ccvhh. What is prob of sequence vhch?
1/30
Three letters picked without replacement from {q: 4, k: 2, h: 3, d: 10}. Give prob of sequence hkk.
1/969
Four letters picked without replacement from {x: 1, q: 1, o: 1, s: 3, h: 2, c: 4}. What is prob of sequence ossq?
1/1980
What is prob of sequence hth when three letters picked without replacement from {h: 5, s: 1, t: 12}?
5/102
Three letters picked without replacement from {r: 1, c: 11, e: 2}. Give prob of sequence cec.
55/546
Three letters picked without replacement from {a: 5, l: 8, i: 5}. Give prob of sequence aal.
5/153
Three letters picked without replacement from {a: 6, e: 4}. Give prob of sequence eee.
1/30
What is prob of sequence ffr when three letters picked without replacement from zbffrzzbrzhzn?
1/429
Three letters picked without replacement from ffqhlllfhqddqff. Give prob of sequence qld.
3/455
Calculate prob of sequence ysy when three letters picked without replacement from s
|
{
"pile_set_name": "DM Mathematics"
}
|
92.09
What is 951.2213ns in microseconds?
0.9512213
What is 141.4625 decades in centuries?
14.14625
How many millimeters are there in one tenth of a centimeter?
1
Convert 86694.19 meters to nanometers.
86694190000000
How many days are there in 214.483491s?
0.0024824478125
What is 645.731 years in centuries?
6.45731
Convert 59121.4ml to litres.
59.1214
What is six fifths of a second in milliseconds?
1200
What is 11564.17g in micrograms?
11564170000
How many seconds are there in 11/10 of a minute?
66
How many years are there in 94.07961 months?
7.8399675
Convert 993868.3ml to litres.
993.8683
How many millilitres are there in 19/4 of a litre?
4750
What is 21/5 of a litre in millilitres?
4200
Convert 60239.34 months to decades.
501.9945
What is fifty-five halves of a decade in months?
3300
How many decades are there in 629.5 years?
62.95
How many millilitres are there in eighty-five quarters of a litre?
21250
Convert 23008.93 micrograms to tonnes.
0.00000002300893
How many nanograms are there in 86614.35 milligrams?
86614350000
What is 41.66433ml in litres?
0.04166433
What is 54/5 of a millennium in years?
10800
How many centimeters are there in 75/4 of a meter?
1875
How many seconds are there in 10/3 of a hour?
12000
Convert 5.754483 meters to micrometers.
5754483
How many milligrams are there in 6/25 of a gram?
240
Convert 0.9191719mm to kilometers.
0.0000009191719
What is 94.9158 centimeters in kilometers?
0.000949158
What is 67.78986 decades in years?
677.8986
How many kilograms are there in 1/4 of a tonne?
250
How many hours are there in 48.087 days?
1154.088
What is 37.25042 centuries in millennia?
3.725042
Convert 608245.9mg to micrograms.
608245900
How many grams are there in 3/5 of a kilogram?
600
What is three eighths of a gram in milligrams?
375
Convert 4033.856 millennia to years.
4033856
What is 19/10 of a day in minutes?
2736
What is 87/2 of a meter in millimeters?
43500
What is 3/10 of a micrometer in nanometers?
300
What is twenty-one eighths of a litre in millilitres?
2625
Convert 27425.77 millilitres to litres.
27.42577
Convert 27.25835mg to nanograms.
27258350
What is 0.9302404km in centimeters?
93024.04
How many millilitres are there in 17/10 of a litre?
1700
How many nanometers are there in 3/5 of a micrometer?
600
What is 971.4595ug in grams?
0.0009714595
What is 5926.026 millennia in centuries?
59260.26
How many seconds are there in 1/4 of a day?
21600
How many seconds are there in one ninth of a day?
9600
Convert 9913.459 decades to years.
99134.59
What is 45/8 of a micrometer in nanometers?
5625
What is 532.9284 grams in kilograms?
0.5329284
What is 429575.58 minutes in weeks?
42.616625
How many millimeters are there in 7808.66 micrometers?
7.80866
How many centimeters are there in 9/10 of a kilometer?
90000
How many nanograms are there in 3/10 of a microgram?
300
What is seven fifteenths of a millennium in months?
5600
How many millennia are there in 7.308049 decades?
0.07308049
Convert 0.7508306 years to decades.
0.07508306
What is 9856.294m in kilometers?
9.856294
How many litres are there in 0.9299617 millilitres?
0.0009299617
What is 12/25 of a litre in millilitres?
480
What is 5/24 of a millennium in months?
2500
What is 2620.535 millilitres in litres?
2.620535
Convert 5.90144 nanograms to milligrams.
0.00000590144
What is 64884.66 hours in nanoseconds?
233584776000000000
Convert 1038.01284 microseconds to days.
0.0000000120140375
How many minutes are there in one ninth of a week?
1120
What is 4.965772 meters in centimeters?
496.5772
How many millennia are there in 365235.9 months?
30.436325
What is twenty-seven quarters of a milligram in micrograms?
6750
How many months are there in 25/2 of a year?
150
What is 8072.031 decades in years?
80720.31
What is 87/2 of a meter in centimeters?
4350
What is 693856.9l in millilitres?
693856900
What is eleven halves of a micrometer in nanometers?
5500
What is 3/10 of a millimeter in micrometers?
300
Convert 33.67011mm to meters.
0.03367011
Convert 0.6393852 minutes to nanoseconds.
38363112000
Convert 10.893ml to litres.
0.010893
How many millilitres are there in eleven quarters of a litre?
2750
How many micrometers are there in 54.27922m?
54279220
How many millilitres are there in 3/50 of a litre?
60
Convert 83197.7 years to months.
998372.4
How many months are there in 908327.4 millennia?
10899928800
What is 1/5 of a litre in millilitres?
200
What is 4548.837 millilitres in litres?
4.548837
What is 0.6715071 millilitres in litres?
0.0006715071
What is 3.368115 years in decades?
0.3368115
How many microseconds are there in 1151.863 hours?
4146706800000
Convert 1227125.7ns to minutes.
0.000020452095
Convert 3646.284 litres to millilitres.
3646284
How many micrometers are there in 53/4 of a millimeter?
13250
How many seconds are there in 2/15 of a hour?
480
What is 8.276164 millilitres in litres?
0.008276164
How many nanograms are there in 7/4 of a microgram?
1750
How many nanometers are there in 1/4 of a micrometer?
250
How many litres are there in 0.6541209 millilitres?
0.0006541209
What is 5516.004 months in millennia?
0.459667
How many decades are there in 7/2 of a millennium?
350
What is 49/5 of a meter in millimeters?
9800
How many kilometers are there in 83.04712 nanometers?
0.00000000008304712
How many meters are there in 2931.434um?
0.002931434
Convert 0.4452097kg to nanograms.
445209700000
What is thirty-one halves of a litre in millilitres?
15500
What is six fifths of a millimeter in micrometers?
1200
Convert 0.681299mg to micrograms.
681.299
Convert 564.5096 millennia to years.
564509.6
How many millilitres are there in thirty-two fifths of a litre?
6400
How many millilitres are there in 0.2001917l?
200.1917
How many nanograms are there in 88.79729 kilograms?
88797290000000
How many centimeters are there in 695.4226nm?
0.00006954226
What is 926212.5cm in meters?
9262.125
Convert 369927.5 kilograms to micrograms.
369927500000000
How many seconds are there in 0.2937356 weeks?
177651.29088
What is 4868.207m in micrometers?
4868207000
What is 587620.2 microseconds in nanoseconds?
587620200
How many centimeters are there in 905.1216um?
0.09051216
What is 11/4 of a day in hours?
66
How many milligrams are there in 7/8 of a gram?
875
What is 7.790191 weeks in hours?
1308.752088
How many months are there in 8/3 of a century?
3200
How many seconds are there in 3/25 of a week?
72576
What is 3/8 of a microgram in nanograms?
375
Convert 1944398.4 months to millennia.
162.0332
What is 330.77277s in hours?
0.091881325
How many nanometers are there in 1/16 of a millimeter?
62500
How many seconds are there in fourty-eight fifths of a hour?
34560
Convert 32906.92l to millilitres.
32906920
How many years are there in 5.911 centuries?
591.1
What is 3/40 of a milligram in nanograms?
75000
How many litres are there in 75.25951ml?
0.07525951
Convert 568130.9 centimeters to millimeters.
5681309
Convert 0.1913251 nanograms to kilograms.
0.0000000000001913251
Convert 24495.89 micrometers to centimeters.
2.449589
Convert 36.9656973ms to weeks.
0.00000006112053125
What is 1/4 of a litre in millilitres?
250
What is 2.91419l in millilitres?
2914.19
How many millimeters are there in 11/8 of a meter?
1375
How many grams are there in eighteen fifths of a kilogram?
3600
Convert 83.99812 hours to nanoseconds.
302393232000000
What is thirty-seven halves of a year in months?
222
What is 1/5 of a milligram in micrograms?
200
How many tonnes are there in 0.7948826ng?
0.0000000000000007948826
What is sixty-seven thirds of a century in months?
26800
How many millennia are there in 744.3315 decades?
7.443315
Convert 40.2796 kilometers to micrometers.
40279600000
What is fourty-nine quarters of a hour in minutes?
735
How many milligrams are there in 7/2 of a gram?
3500
How many milliseconds are there in nine tenths of a minute?
54000
How many millilitres are there in three eighths of a litre?
375
How many meters are there in eleven quarters of a kilometer?
2750
How many grams are there in 3/25 of a kilogram?
120
What is fourty-three halves of a litre in millilitres?
21500
How many centuries are there in 6.521172 years?
0.06521172
How many litres are there in 7247.023 millilitres?
7.247023
What is 3/32 o
|
{
"pile_set_name": "DM Mathematics"
}
|
-1659009
4102341 divided by -16
-4102341/16
Calculate 0 divided by 35496697.
0
What is 18653850 divided by 25?
746154
What is 6068830 divided by -71398?
-85
Calculate 105966 divided by -87.
-1218
What is -2054455 divided by 65?
-31607
Calculate -966095 divided by 6.
-966095/6
What is 86210 divided by 1828?
43105/914
-11537591 divided by -349
33059
Divide -5 by -8030953.
5/8030953
Calculate 3184657 divided by 9.
3184657/9
Divide -2 by 74906581.
-2/74906581
25 divided by 2314618
25/2314618
5 divided by 75165029
5/75165029
Divide 791725 by 1.
791725
-11510668 divided by -11510668
1
Calculate -11531504 divided by 10757.
-1072
Calculate -138067284 divided by 6.
-23011214
Divide 2352144 by -4.
-588036
What is 15231405 divided by -3?
-5077135
-171788661 divided by -3
57262887
Divide 186701409 by -6.
-62233803/2
What is -274787034 divided by -3?
91595678
3573 divided by 3056
3573/3056
92089127 divided by -5
-92089127/5
What is -41829392 divided by 14032?
-2981
Calculate -165863121 divided by -3.
55287707
Divide 21550725 by -615735.
-35
What is 2188381 divided by -299?
-7319
Calculate 13638078 divided by -6.
-2273013
Divide -39319219 by 6.
-39319219/6
Calculate 25695 divided by 416.
25695/416
What is -26959500 divided by 6?
-4493250
-197263105 divided by -15174085
13
Divide -3493530 by 116451.
-30
What is 21265755 divided by 4253151?
5
Divide -9335 by 22880.
-1867/4576
Divide -282280 by -457.
282280/457
Divide -21020215 by -5.
4204043
Divide 25 by 1939605.
5/387921
Calculate 131846514 divided by -1.
-131846514
What is -9096239 divided by 16?
-9096239/16
What is -3090 divided by -20060?
309/2006
Calculate -9166 divided by 76.
-4583/38
Divide -25929469 by -5.
25929469/5
727932 divided by -181983
-4
-433 divided by -413447
433/413447
Calculate 1043483 divided by -22.
-1043483/22
Calculate 7427808 divided by 27.
275104
Divide -16536330 by -1837370.
9
-156778 divided by -197
156778/197
What is -390063258 divided by -1417?
275274
Calculate 565358 divided by -1.
-565358
What is -199437 divided by -123?
66479/41
Divide 82040424 by -12.
-6836702
Calculate -22894446 divided by 22894446.
-1
Divide 57270 by 364.
28635/182
Divide 1120577 by 2.
1120577/2
287028770 divided by 911
315070
-430 divided by -832498
215/416249
Calculate -27 divided by 490309.
-27/490309
Divide -126512712 by -3.
42170904
What is -108743 divided by 14594?
-108743/14594
What is -5 divided by -12006411?
5/12006411
What is 22 divided by 1233085?
22/1233085
Calculate -120197 divided by -3539.
120197/3539
Divide -1209705300 by -6.
201617550
Calculate 1480275 divided by -51.
-29025
What is 6930368 divided by 866296?
8
Calculate 17861 divided by -190.
-17861/190
-64469750 divided by -2
32234875
Calculate -2 divided by -1459200.
1/729600
-636488 divided by 19
-636488/19
-1 divided by -17482468
1/17482468
What is -5463384 divided by -3908?
1398
Calculate -587343280 divided by -73417910.
8
Calculate -3 divided by 6916442.
-3/6916442
Divide 25650440 by -5.
-5130088
What is -926311 divided by 53?
-926311/53
What is -25 divided by -945009?
25/945009
Calculate -4 divided by 22565646.
-2/11282823
Calculate -69767766 divided by -23255922.
3
What is -6617910 divided by 125?
-1323582/25
Divide -5 by 1800971.
-5/1800971
What is 2139 divided by -8741?
-2139/8741
37013832 divided by 9
4112648
-2278458 divided by 1498
-1521
-149920808 divided by 12328
-12161
-20899287 divided by -5
20899287/5
169727978 divided by -2
-84863989
-7 divided by 10874819
-7/10874819
What is -657337200 divided by 164334300?
-4
Divide 34115850 by -379065.
-90
What is -971326 divided by 971326?
-1
Divide 8780041 by -204187.
-43
Calculate 28655865 divided by 21.
1364565
What is -822120 divided by -822120?
1
Calculate -1332537 divided by 18.
-444179/6
Calculate 111 divided by 264539.
111/264539
Divide -7499785 by 1499957.
-5
What is -58 divided by -4270297?
58/4270297
What is -11125760 divided by 1112576?
-10
-12 divided by -1301047
12/1301047
-18453 divided by -935
18453/935
Divide 35051094 by -39.
-898746
Calculate 592828 divided by 120.
148207/30
What is -551828791 divided by -1?
551828791
Divide -1732796832 by -6.
288799472
Divide 44853361 by -2257.
-19873
Calculate -234540416 divided by -16.
14658776
Divide 376 by 83565.
376/83565
Divide -1 by -52515819.
1/52515819
-19189 divided by 511
-19189/511
Calculate 3091 divided by -185982.
-3091/185982
Divide 62123780 by -69802.
-890
-1769936240 divided by -5
353987248
What is 67 divided by -54593?
-67/54593
Calculate -5830205 divided by 1166041.
-5
Calculate 27599440 divided by 6352.
4345
Divide -3325 by 18533.
-3325/18533
Calculate 285328 divided by -44.
-71332/11
Calculate 4168164 divided by 26.
160314
348948 divided by -486
-718
4113 divided by -8968
-4113/8968
Divide -36 by -51869.
36/51869
Calculate -363269 divided by -3.
363269/3
Calculate 0 divided by 137065058.
0
Divide -134407755 by 4.
-134407755/4
Divide 67608170 by -13521634.
-5
145353162 divided by -29
-5012178
53687916 divided by 13421979
4
What is 8833608 divided by -28868?
-306
Divide 47126828 by 7.
6732404
-6598 divided by -30
3299/15
Calculate 18065475 divided by 3.
6021825
545574430 divided by -109114886
-5
Divide -24017515 by -1412795.
17
-1892695 divided by 5
-378539
Calculate 1572368 divided by -973.
-1616
What is 336255 divided by 3?
112085
Divide 858155 by -1507.
-858155/1507
Calculate 113 divided by 2789148.
113/2789148
What is 1 divided by -45334374?
-1/45334374
Calculate -20710278 divided by 2.
-10355139
Calculate -267542 divided by -2.
133771
What is -5 divided by -24818179?
5/24818179
What is 32142 divided by 3047?
2922/277
Calculate -106735200 divided by 21347040.
-5
Divide -82646 by 508.
-41323/254
Calculate -251 divided by -92021.
251/92021
What is 79754730 divided by -41866?
-1905
Divide 5 by -3970128.
-5/3970128
376798268 divided by -2446742
-154
-375 divided by 222573
-125/74191
Calculate -14116308 divided by 12.
-1176359
What is 5 divided by -29665987?
-5/29665987
916168 divided by 116
7898
Divide -309934 by -16.
154967/8
Calculate 351754362 divided by 6.
58625727
Calculate 291622288 divided by 72905572.
4
What is -1512153 divided by 2109?
-717
What is 14165 divided by -2855?
-2833/571
Divide 5116272 by -12.
-426356
Divide 33189 by 59.
33189/59
-11804400 divided by -437200
27
Calculate -34764936 divided by -3.
11588312
6846685 divided by -6846685
-1
Divide -10456596 by -142.
73638
Calculate 76587 divided by 5332.
76587/5332
Calculate 1194 divided by 6224.
597/3112
Calculate 86378066 divided by -551.
-156766
Calculate -1116948 divided by 5.
-1116948/5
Divide 19422372 by -3.
-6474124
Calculate 881 divided by -24246.
-881/24246
Calculate -76009449 divided by -3.
25336483
Calculate -1269513 divided by -81.
15673
Calculate 75653628 divided by -3.
-25217876
38104932 divided by 12701644
3
Divide -16717330 by 7.
-2388190
Divide -292527525 by 2.
-292527525/2
What is -15 divided by -486931?
15/486931
What is 24127350 divided by 10?
2412735
Calculate 1657425 divided by -28.
-236775/4
1 divided by 20791458
1/20791458
Calculate 64637 divided by -439.
-64637/439
What is 151579536 divided by -16?
-9473721
What is 3352847 divided by 126?
3352847/126
Divide -49036440 by 4.
-12259110
Calculate -20254 divided by -13627.
20254/13627
Calculate 665649963 divided by 33.
20171211
What is 67837853 divided by 4?
67837853/4
What is -8623 divided by 759?
-8623/759
Divide -6540898 by -2158.
3031
Calculate 771814900 divided by -15436298.
-50
Calculate 47816632 divided by -46.
-1039492
Calculate 102702280 divided by 1.
102702280
Divide -4753562 by 44.
-216071/2
Divide -260776 by 39.
-260776/39
What is -110182818 divided by -1488957?
74
What is 35593872 divided by -6411?
-5552
Divide 298834 by -1.
-298834
Divide -8577 by -1170.
953/130
51086 divided by 25543
2
-2 divided by 5130003
-2/5130003
Calculate 249482 divided by -2.
-124741
What is 1375 divided by 257208?
1375/257208
Calculate -1705389 divided by 568463.
-3
Calculate -15 divided by -159570.
1/10638
-313316080 divided by 2848328
-110
Divide 5966187 by 13.
5966187/13
Divide 2412 by -161655.
-804/53885
58165632 divided by 252
230816
2047328 divided by -4
-511832
Calculate -11538245 divided by 415.
-27803
Divide -369175 by -191.
369175/191
Divide 13 by 17123532.
13/17123532
23 div
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.2106 (d) -4
c
Which is the nearest to -1? (a) -0.6 (b) -2/11 (c) -16/235
a
What is the closest to 1/3 in -3, -35, 2, -0.08?
-0.08
What is the nearest to 0 in 5, -2/119, -2/129, 0.4?
-2/129
Which is the closest to 0? (a) -676 (b) 1 (c) 0 (d) -2 (e) -2/5
c
Which is the closest to -0.7? (a) 6/541 (b) -29 (c) 0.5
a
What is the nearest to 0.1 in 1, -1, 0.95, 0.05?
0.05
What is the nearest to -0.1647 in 3, 2, -3, -0.3?
-0.3
Which is the closest to -5? (a) -1 (b) 3/49 (c) -1/62 (d) 5
a
Which is the nearest to 27? (a) -4 (b) -0.3 (c) -67/4 (d) -1
b
What is the nearest to -2/85 in -1548, 6, -3?
-3
Which is the closest to 1.28? (a) -4 (b) -0.3 (c) -4/7 (d) -2/21 (e) -13
d
Which is the closest to 2/3? (a) -457 (b) 27 (c) 3 (d) 0.4
d
What is the nearest to -2/9 in -4, 163/4, -3, 0.04, 0.1?
0.04
What is the nearest to -6 in -2, 1/7, -173, 3, 10?
-2
Which is the nearest to 0? (a) -29 (b) 0.5 (c) -554 (d) 3
b
What is the closest to -830 in 3/4, -1, 3?
-1
What is the nearest to 2/39 in -0.5, 102, -7?
-0.5
Which is the closest to -5? (a) -1/21 (b) -4 (c) -2 (d) -20.2 (e) 3/8
b
Which is the closest to -2? (a) -2 (b) 1/3 (c) -10 (d) -24 (e) 0.42
a
Which is the closest to -6/7? (a) -5 (b) -47 (c) -2/5 (d) 2 (e) 0.5
c
Which is the closest to -6? (a) 20 (b) 1 (c) -2 (d) -6
d
What is the nearest to 1/5 in 2/11, -338, 2, -5, 0.1?
2/11
What is the closest to 18 in 0.1, -4, -3, 3, 82?
3
Which is the closest to 0.7? (a) -2 (b) -5 (c) 0.63 (d) -0.1
c
What is the nearest to -52.5 in 1/474, -3, 0.3?
-3
What is the nearest to 74 in -14, 0.5, -3, -5, 2/5?
0.5
Which is the closest to -0.1? (a) 1/4 (b) -0.04 (c) 5 (d) 0 (e) -466
b
Which is the closest to 5? (a) -5 (b) 2/39 (c) 12
b
Which is the nearest to -1? (a) -2 (b) -5.8 (c) 7 (d) -16/15
d
What is the nearest to -31 in 0.2, 0.25, -5?
-5
What is the closest to -6 in -3.8, -4, -112?
-4
Which is the closest to -4? (a) 185 (b) 0.9 (c) -3/10
c
Which is the nearest to -1/4? (a) 0 (b) 0.4 (c) 502.4
a
What is the closest to -2 in 1.1, 9, 5, 0.4, 718?
0.4
What is the nearest to 0.2 in -2, 17, -10/13, 0.2?
0.2
What is the nearest to 4.9 in 3, -5, 4, -0.04, 45?
4
Which is the closest to -2/7? (a) -2191 (b) 548 (c) -4
c
Which is the closest to 6? (a) 3/7 (b) 2/9 (c) -0.5 (d) -4 (e) -12/83
a
What is the nearest to 45 in 0.4, 8, 1/118?
8
Which is the closest to 244? (a) 3 (b) -6/7 (c) -1
a
What is the nearest to 0.2 in -0.031, 2, 44, 1/3, 3?
1/3
Which is the nearest to -1? (a) 4 (b) -1/394 (c) -2/5 (d) 3 (e) -1/5
c
What is the nearest to -2 in -13, 3/8, -2/9?
-2/9
What is the nearest to -1/5 in -11/7, -2.9, -3, -12?
-11/7
What is the nearest to -1/2 in 0.06, -611, -0.09?
-0.09
What is the closest to 1 in -1/9, -0.1, -1/11, -345, 81?
-1/11
Which is the closest to -2/37? (a) 151 (b) 3 (c) -5 (d) 5 (e) 1/2
e
Which is the closest to -0.1? (a) -144318 (b) -17/6 (c) 1/4
c
What is the nearest to 1/5 in -14, 0.3, 0.2, -65.2?
0.2
Which is the nearest to -2/3? (a) -2/3 (b) 2 (c) -0.271
a
What is the nearest to -2026 in 0.2, -2, 1/2?
-2
What is the closest to 0.1 in -3, -86/5, -2/11, -1?
-2/11
What is the closest to 1 in 5, -97, -4473, 2?
2
What is the closest to -4/133 in 13.86, -4, -2?
-2
What is the closest to 0.351 in 2/7, -2, -3, 0.2?
2/7
Which is the nearest to -1/3? (a) 4 (b) -48.1 (c) -7/19
c
What is the nearest to -2/3 in 0.5, -2/1929, -4/5, -6/11, 1/57?
-6/11
What is the closest to 0.1 in -0.98, 0.01, 17, -3/2?
0.01
What is the nearest to -2 in 4, -12/7, -33, 0.5?
-12/7
Which is the closest to 0.6? (a) -2 (b) 13 (c) -80 (d) -5 (e) -3
a
What is the closest to 3 in -23/3, 60, -0.5, -2/5, -0.01?
-0.01
Which is the closest to -1? (a) 0.387 (b) 1.385 (c) 0.1
c
What is the closest to 2/19 in -0.3, 1429/4, 0.5?
0.5
Which is the nearest to -0.2? (a) -20 (b) 2/7 (c) -0.1 (d) 2
c
Which is the nearest to 8? (a) -0.5 (b) 2 (c) 65 (d) 1/3 (e) -9
b
Which is the nearest to 1? (a) -9 (b) -0.4 (c) -55
b
What is the nearest to 25/7 in -3/4, 4, -0.147, 2/9?
4
What is the closest to -5 in 0, 27.4, 2/11?
0
Which is the closest to 0.1? (a) -3/7 (b) -2/10177 (c) 0.1 (d) 9 (e) 0
c
Which is the nearest to -0.2? (a) 2/5 (b) -1 (c) 1 (d) -3153
a
Which is the nearest to 184.75? (a) -0.2 (b) 3 (c) -2/13
b
Which is the nearest to 2/7? (a) 3/5116 (b) 2/15 (c) 4 (d) 6
b
Which is the closest to 3? (a) 4 (b) 1717 (c) 5 (d) 2/11
a
What is the nearest to 1 in -1/4, 0, 6/197, -1?
6/197
What is the closest to -846 in -2, -1/3, 1/13?
-2
Which is the closest to -0.6? (a) 1/3 (b) 4 (c) -1/307
c
Which is the closest to 1? (a) 740 (b) 2/3 (c) -0.4 (d) 0.04
b
Which is the closest to 1? (a) 2 (b) 4 (c) -15188 (d) 0.2
d
What is the nearest to 2/3 in 3/8, 0.4, 3, 0.484?
0.484
Which is the closest to 3? (a) 5 (b) 15 (c) 3 (d) 94
c
What is the closest to 2/37 in 0.1, 0.09, 0.148?
0.09
Which is the nearest to -1/20? (a) -5 (b) 1/4 (c) 815
b
Which is the nearest to -0.2? (a) 16 (b) -44 (c) -0.19
c
What is the nearest to 0.0281 in 0.1, 0, 4, 3, -0.4?
0
What is the closest to -0.1 in -3/4, 95, -3/8, -1.1?
-3/8
What is the closest to -13/8 in 5, 0.2, -32?
0.2
What is the nearest to -1/2 in 2/21, 3, 0.3, 0.3146?
2/21
Which is the closest to 3? (a) -111 (b) 5 (c) 49
b
Which is the closest to 1/6? (a) 2/5 (b) 1/81 (c) -10
b
What is the nearest to -0.07 in 27, -6, -2/15, -4/3?
-2/15
What is the closest to -2/9 in -0.4, 606, -0.05, -2/13?
-2/13
What is the closest to -1 in 5, 149, -3, 0.5?
0.5
What is the nearest to 0.12 in 0.18, -1, 2, 1.1?
0.18
What is the closest to 1 in -6, -5187/5, 3/2?
3/2
Which is the nearest to -1? (a) 0.191 (b) 3/20 (c) 2
b
What is the closest to 0.1 in 74, -3/2, -12?
-3/2
What is the closest to -3639 in 3, 2.3, -0.4, 0.2?
-0.4
What is the nearest to 9 in 20/9, -0.4, -0.1, 2/9?
20/9
What is the closest to -2/9 in 1, -10.6, 13, 0.4?
0.4
What is the closest to 0 in 67, -0.123, -1/2, -5?
-0.123
What is the closest to 4/9 in -4, 2/23, -0.12?
2/23
Which is the closest to -7? (a) -0.1 (b) -37 (c) 0.1 (d) 2/9 (e) -6
e
What is the nearest to 1 in -1, 18/7, -2?
18/7
Which is the nearest to 7? (a) -9 (b) -3 (c) -1/5 (d) -2/7
c
Which is the nearest to 2/11? (a) 2/7 (b) -2/633 (c) -5/4 (d) 0.5 (e) -1
a
Which is the nearest to 1? (a) 1/156 (b) 14 (c) -2/5
a
Which is the closest to 1/3? (a) -2 (b) 0.2 (c) 0 (d) -8.083
b
What is the nearest to -19 in 0.2, -2/9, -20?
-20
What is the nearest to -3 in 0.2225, 1/7, 3?
1/7
What is the closest to -1080 in 3.7, 4, 0.3, 5?
0.3
Which is the closest to -0.3? (a) 2 (b) -13 (c) -9/5
c
What is the closest to 2.6 in 1, -510, 2?
2
Which is the closest to -2? (a) -3/2 (b) 2.63 (c) -0.04
a
Which is the closest to 1/3? (a) 0.16 (b) 0.01 (c) 0.13 (d) -8
a
Which is the closest to -0.08? (a) -0.3 (b) 1/4 (c) 1 (d) 3 (e) -0.08
e
Which is the nearest to -7/6? (a) 34/5 (b) 4 (c) 0.4 (d) 3
c
What is the closest to 0.05 in 85, -0.1, 0.01, 3/4?
0.01
What is the nearest to 0 in -2, -0.1, -65, 0.3, -1/5?
-0.1
What is the closest to 3 in 3, 0, -0.3, -2/21?
3
What is the nearest to -33 in 1, 8.7, -13?
-13
What is the nearest to 52 in -0.09, -3, 0.06, -0.5?
0.06
What is the nearest to 2/5 in 0.09, -5.25, 0.05, -2/3, -2/9?
0.09
What is the closest to 0.083 in -3, 0.1, -28, -2?
0.1
Which is the closest to -7? (a) -1.6 (b) 3/8 (c) 0.5 (d) 118
a
Which is the closest to -0.07? (a) -3 (b) 0.1 (c) -217
b
Which is the closest to -0.3? (a) -4 (b) 224/3 (c) -0.01
c
What is the closest to -95 in 0.2, -5, -9?
-9
What is the nearest to 6/7 in 9, 2/7, -9, 0.4?
0.4
What is the closest to -0.7 in 3/11, -2, 2/27, -1?
-1
Which is the closest to -2? (a) -6 (b) 8/3 (c) -14 (d) -0.2
d
What is the nearest to 1/4 in -8/4091, 1/13, 0?
1/13
What is the nearest to -2/9 in 39, 6/11, 7, -2?
6/11
Which is the nearest to 1? (a) -2 (b) -5 (c) 8/15 (d) -2413
c
Which is the nearest to -0.13? (a) 34 (b) 5 (c) 40
b
Which is the closest to 0? (a) -0.0157 (b) -1/10 (c) -30/13
a
Which is the closest to 2/3? (a) 0.0304 (b) -3 (c) -8
a
What is the closest to 1/4 in 0, -19/3, -0.09302?
0
Which is the closest to -0.4? (a) -0.5 (b) -0.4 (c) -1/5 (d) -2/241
b
|
{
"pile_set_name": "DM Mathematics"
}
|
ree letters picked without replacement from {e: 3, k: 2, v: 4, b: 2}. Give prob of picking 2 e and 1 v.
4/55
What is prob of picking 1 x and 3 u when four letters picked without replacement from {u: 7, e: 1, h: 2, y: 1, x: 6}?
3/34
Three letters picked without replacement from rnrg. Give prob of picking 1 n and 2 r.
1/4
Calculate prob of picking 4 q when four letters picked without replacement from qqpqppqpppp.
1/330
Two letters picked without replacement from {m: 8, x: 2, z: 5}. What is prob of picking 1 z and 1 m?
8/21
Four letters picked without replacement from effoej. What is prob of picking 1 j, 1 o, and 2 f?
1/15
Calculate prob of picking 3 m when three letters picked without replacement from {a: 1, m: 12}.
10/13
Two letters picked without replacement from xxaq. What is prob of picking 1 q and 1 a?
1/6
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xmmlmalllma.
4/55
Three letters picked without replacement from zsnuncuunuznkuu. What is prob of picking 3 u?
4/91
What is prob of picking 2 a when two letters picked without replacement from {x: 17, a: 3}?
3/190
Four letters picked without replacement from {w: 2, u: 5, d: 3}. Give prob of picking 2 u and 2 w.
1/21
What is prob of picking 1 o and 1 q when two letters picked without replacement from opcuqjq?
2/21
Calculate prob of picking 2 k, 1 d, and 1 v when four letters picked without replacement from dkdddxkxzkkzxzzzvzdx.
2/323
Two letters picked without replacement from ywwdodzzfowfodo. What is prob of picking 1 z and 1 f?
4/105
Two letters picked without replacement from axxx. Give prob of picking 2 x.
1/2
What is prob of picking 1 v and 1 q when two letters picked without replacement from {b: 1, v: 1, h: 1, q: 1, l: 2, a: 1}?
1/21
Two letters picked without replacement from ooojjbhjjjoebjoh. What is prob of picking 1 o and 1 e?
1/24
Four letters picked without replacement from ftgcdgcn. Give prob of picking 2 g, 1 t, and 1 f.
1/70
What is prob of picking 1 f, 2 x, and 1 k when four letters picked without replacement from kkkxrffkxfxfwf?
60/1001
Three letters picked without replacement from {c: 2, f: 1, q: 9, y: 6, a: 1}. What is prob of picking 1 c, 1 y, and 1 a?
4/323
Calculate prob of picking 1 s and 3 k when four letters picked without replacement from keskqqsessisesk.
2/455
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {z: 3, c: 1, q: 1, h: 1, k: 1}.
1/21
Three letters picked without replacement from tbtqbqqwwqtt. Give prob of picking 1 t, 1 b, and 1 q.
8/55
What is prob of picking 1 z and 1 w when two letters picked without replacement from fzhzvzwzhvfzzzz?
8/105
Three letters picked without replacement from {g: 1, d: 11}. What is prob of picking 2 d and 1 g?
1/4
Four letters picked without replacement from {m: 1, h: 1, s: 1, v: 2, a: 2, y: 2}. Give prob of picking 1 m, 1 y, 1 h, and 1 a.
2/63
Two letters picked without replacement from eeeeeeeeeeleeeleeeee. Give prob of picking 1 l and 1 e.
18/95
What is prob of picking 1 s, 1 f, and 1 o when three letters picked without replacement from {c: 2, o: 4, a: 2, s: 1, f: 4, k: 2}?
16/455
Calculate prob of picking 1 a and 2 m when three letters picked without replacement from bbbbmbbmbbbbbbmbabbb.
1/380
What is prob of picking 1 b and 2 l when three letters picked without replacement from lxulxxxhxxxbxhxx?
1/560
Three letters picked without replacement from {e: 3, b: 4, z: 1, t: 2, g: 1, r: 1}. What is prob of picking 2 e and 1 t?
3/110
What is prob of picking 1 p and 1 y when two letters picked without replacement from pzpzkzzppyzjkzzyk?
1/17
Two letters picked without replacement from eaapiah. What is prob of picking 1 h and 1 a?
1/7
Four letters picked without replacement from {z: 1, m: 7, r: 1, l: 1, b: 5}. What is prob of picking 3 m and 1 z?
1/39
Calculate prob of picking 2 d when two letters picked without replacement from {p: 3, d: 2, i: 3}.
1/28
Three letters picked without replacement from {a: 3, q: 5, w: 3, i: 1}. Give prob of picking 1 i and 2 w.
3/220
What is prob of picking 3 p when three letters picked without replacement from {p: 7, m: 6}?
35/286
What is prob of picking 1 q and 1 r when two letters picked without replacement from {r: 1, q: 3, e: 1, u: 4, n: 1, f: 2}?
1/22
Calculate prob of picking 1 r and 2 a when three letters picked without replacement from rrrrlarrar.
7/120
Two letters picked without replacement from {t: 1, m: 2, h: 1, d: 3}. What is prob of picking 1 h and 1 d?
1/7
Four letters picked without replacement from oowdwwdddwdrdwdddrdo. Give prob of picking 2 d, 1 r, and 1 w.
30/323
Calculate prob of picking 2 j, 1 q, and 1 d when four letters picked without replacement from ejmqqqbedddjqbqqd.
6/595
What is prob of picking 3 l when three letters picked without replacement from {i: 4, q: 2, e: 2, l: 6, a: 1}?
4/91
Two letters picked without replacement from oolulzolozlooukzl. What is prob of picking 1 k and 1 z?
3/136
Four letters picked without replacement from tjjjjjjttjjutj. Give prob of picking 1 t, 1 u, and 2 j.
144/1001
What is prob of picking 2 e when two letters picked without replacement from {r: 2, e: 6, c: 4, p: 2, f: 2, s: 1}?
15/136
Three letters picked without replacement from {n: 3, t: 1, h: 1, x: 5, s: 1, e: 2}. What is prob of picking 1 x and 2 e?
5/286
Two letters picked without replacement from {g: 5, h: 3, l: 1, p: 1, n: 1, y: 1}. Give prob of picking 1 p and 1 n.
1/66
Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {c: 2, j: 1, b: 2, f: 1, p: 2}.
1/28
What is prob of picking 1 k and 2 y when three letters picked without replacement from kkykyykyyykyy?
70/143
Two letters picked without replacement from wwecllwwwcwwlwwe. Give prob of picking 1 l and 1 w.
9/40
Calculate prob of picking 2 v when two letters picked without replacement from {g: 1, r: 1, v: 2, p: 1, w: 5}.
1/45
What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 11, d: 1, r: 3}?
11/35
Three letters picked without replacement from {x: 9, h: 10}. Give prob of picking 1 h and 2 x.
120/323
Four letters picked without replacement from fssssyyls. What is prob of picking 1 s, 1 l, and 2 f?
0
Three letters picked without replacement from {w: 1, j: 1, c: 2, n: 1, x: 1, a: 1}. Give prob of picking 1 j, 1 w, and 1 x.
1/35
Three letters picked without replacement from yyfffyyfyyy. Give prob of picking 2 f and 1 y.
14/55
Three letters picked without replacement from {v: 7, n: 1, p: 1, w: 4, z: 2, r: 2}. What is prob of picking 1 r and 2 w?
3/170
What is prob of picking 2 h and 1 y when three letters picked without replacement from hhhhhyhh?
3/8
What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 1, m: 6, b: 2, l: 1, r: 7}?
1/68
What is prob of picking 1 c and 3 o when four letters picked without replacement from {o: 1, c: 1, b: 1, d: 2, u: 1, z: 1}?
0
Calculate prob of picking 3 i and 1 d when four letters picked without replacement from {y: 1, s: 5, i: 3, a: 2, d: 1}.
1/495
Two letters picked without replacement from wrjnwjjwnwr. Give prob of picking 2 w.
6/55
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {k: 1, u: 2, o: 9, y: 3, e: 1, t: 3}.
2/171
Calculate prob of picking 2 i and 1 g when three letters picked without replacement from xgxiixxxiixixxxxixx.
5/323
Four letters picked without replacement from uswuwuwuuswu. Give prob of picking 1 s, 1 w, and 2 u.
8/33
Four letters picked without replacement from pslsppz. What is prob of picking 3 p and 1 s?
2/35
What is prob of picking 1 r, 1 h, and 1 u when three letters picked without replacement from trrhrturvrrrtrbrurr?
22/969
Three letters picked without replacement from {w: 1, t: 4, v: 2, e: 2}. Give prob of picking 2 t and 1 w.
1/14
Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {b: 8, d: 5}.
40/143
Three letters picked without replacement from ppsmwspyyspyllpmywsp. Give prob of picking 1 y and 2 l.
1/285
Calculate prob of picking 2 i when two letters picked without replacement from iiililllilllll.
10/91
Three letters picked without replacement from ftdhtdd. What is prob of picking 1 f and 2 d?
3/35
Two let
|
{
"pile_set_name": "DM Mathematics"
}
|
7
-1044 divided by 58
-18
-595 divided by -85
7
Divide -5 by -16.
5/16
74 divided by -1
-74
-4088 divided by 5
-4088/5
-21360 divided by -16
1335
Divide -56 by -7.
8
Divide 20 by -95.
-4/19
858 divided by 3
286
Calculate -2 divided by 289.
-2/289
Divide -5 by 1528.
-5/1528
What is 32 divided by 16?
2
What is 6 divided by -14?
-3/7
Calculate 5 divided by -63.
-5/63
Divide 81 by 3.
27
Divide -7 by -1152.
7/1152
Calculate -4752 divided by -36.
132
Calculate 456 divided by -4.
-114
18 divided by -14
-9/7
Divide 5 by 1.
5
Divide 168 by -3.
-56
9 divided by -21
-3/7
-392 divided by 7
-56
What is -2 divided by -63?
2/63
Calculate -2 divided by 964.
-1/482
Divide 724 by -1.
-724
Divide 14 by -14.
-1
What is -42 divided by 41?
-42/41
-9 divided by 5
-9/5
Calculate -516 divided by 12.
-43
What is -293 divided by 1?
-293
Divide -530 by -10.
53
9 divided by -5
-9/5
What is -1197 divided by 3?
-399
What is 11 divided by 56?
11/56
Calculate 158 divided by -4.
-79/2
Divide 2002 by 5.
2002/5
What is 45715 divided by -5?
-9143
What is 0 divided by -215?
0
Calculate 1 divided by -726.
-1/726
Calculate 15 divided by -13.
-15/13
11 divided by 51
11/51
What is -4967 divided by -5?
4967/5
Calculate -14955 divided by 2991.
-5
Calculate 1490 divided by 2.
745
546 divided by 8
273/4
18 divided by -14
-9/7
Calculate 0 divided by 225.
0
What is 0 divided by 107?
0
-2 divided by 73
-2/73
Calculate 125 divided by 3.
125/3
248 divided by -6
-124/3
Calculate 245 divided by 49.
5
Calculate 2 divided by 3383.
2/3383
What is -1456 divided by 1?
-1456
Calculate 4 divided by -467.
-4/467
Divide -55 by -55.
1
-6 divided by -53
6/53
-8 divided by 49
-8/49
What is -14420 divided by 2884?
-5
Calculate 14048 divided by 4.
3512
246 divided by -3
-82
Divide 88 by -44.
-2
What is 132 divided by 6?
22
Divide 1189 by -3.
-1189/3
Calculate 33 divided by -1.
-33
Divide -43 by 6.
-43/6
Calculate -159 divided by 3.
-53
-363 divided by 4
-363/4
What is 3 divided by -3445?
-3/3445
What is 1266 divided by -211?
-6
Calculate 4 divided by -78.
-2/39
Divide -46 by -207.
2/9
What is -2 divided by 12?
-1/6
-95 divided by 1
-95
Divide -2 by 25.
-2/25
-504 divided by -126
4
What is 30078 divided by -6?
-5013
What is 6 divided by 791?
6/791
Divide -3696 by -8.
462
What is 2013 divided by 6?
671/2
What is 957 divided by 3?
319
What is -192 divided by -9?
64/3
Divide 2 by -598.
-1/299
Calculate 2494 divided by 2.
1247
Calculate 5 divided by -126.
-5/126
What is -58 divided by 1?
-58
-9361 divided by 851
-11
What is 464 divided by 116?
4
-44 divided by 78
-22/39
Calculate -313 divided by -6.
313/6
Calculate 6210 divided by -1242.
-5
0 divided by -699
0
Divide -14994 by 147.
-102
Divide 921 by -6.
-307/2
13056 divided by 16
816
What is 1 divided by -179?
-1/179
Divide -21 by -37.
21/37
Divide 263 by -43.
-263/43
Calculate -185 divided by 5.
-37
What is -375 divided by -5?
75
Calculate -1 divided by -218.
1/218
Calculate 2244 divided by 22.
102
What is 786 divided by -6?
-131
Calculate -788 divided by -1.
788
Calculate 405 divided by 15.
27
Calculate 4186 divided by 14.
299
Divide 18 by -176.
-9/88
Calculate 1006 divided by 4.
503/2
Divide 4 by 75.
4/75
Calculate -32656 divided by 2041.
-16
What is -22580 divided by -2?
11290
Divide 12098 by -23.
-526
14 divided by -22
-7/11
Calculate 3 divided by -33.
-1/11
What is 0 divided by -854?
0
Calculate 3 divided by 15.
1/5
What is -36 divided by 18?
-2
What is -5 divided by -533?
5/533
Calculate -5 divided by -1.
5
-12 divided by 7
-12/7
What is 1 divided by -274?
-1/274
Calculate 768 divided by -96.
-8
Divide 2760 by -230.
-12
What is 8 divided by -4?
-2
Divide 7068 by -4.
-1767
Calculate 200 divided by 100.
2
Calculate -3 divided by -208.
3/208
-22675 divided by 2
-22675/2
What is 2 divided by 102?
1/51
Divide 8580 by 26.
330
5 divided by 61
5/61
12 divided by 675
4/225
-250 divided by 25
-10
What is 4 divided by 42?
2/21
Calculate 1484 divided by 106.
14
What is 196 divided by -14?
-14
Calculate -2656 divided by -4.
664
Calculate -4 divided by 15.
-4/15
-3 divided by -119
3/119
Divide 4334 by 3.
4334/3
3787 divided by -541
-7
Divide 1 by 846.
1/846
-1078 divided by 11
-98
Calculate 9 divided by -99.
-1/11
Divide -7631 by 1.
-7631
-42784 divided by 1337
-32
13923 divided by 1547
9
720 divided by -5
-144
What is -4 divided by -4616?
1/1154
Divide 16 by 7.
16/7
-2 divided by 4189
-2/4189
Calculate -272 divided by -1.
272
1648 divided by -3
-1648/3
Calculate -11 divided by -20.
11/20
Calculate -3 divided by -506.
3/506
Calculate -1339 divided by -13.
103
Divide 130 by -2.
-65
Calculate -1 divided by 1808.
-1/1808
What is 104 divided by 104?
1
Divide -310 by 2.
-155
Calculate -2947 divided by -1.
2947
What is -765 divided by 3?
-255
Calculate 26 divided by 1.
26
Divide 450 by -6.
-75
Divide 1396 by -6.
-698/3
Calculate -13608 divided by -108.
126
-450 divided by 450
-1
Divide -6396 by -3198.
2
Calculate -12 divided by -7.
12/7
44421 divided by 3
14807
Divide -1260 by 5.
-252
Divide -5698 by 11.
-518
13555 divided by -4
-13555/4
-100 divided by -50
2
-1311 divided by 437
-3
75 divided by -6
-25/2
Calculate -1288 divided by 644.
-2
What is -4 divided by -70?
2/35
What is -2484 divided by -6?
414
195 divided by 39
5
What is 7410 divided by -6?
-1235
What is -1770 divided by 5?
-354
81 divided by 9
9
Divide 294 by 98.
3
-50 divided by -50
1
Divide -12552 by 6.
-2092
What is -2184 divided by -42?
52
What is -4992 divided by 6?
-832
What is 12 divided by 6?
2
-57 divided by 33
-19/11
84 divided by 12
7
Calculate -2 divided by -26.
1/13
532 divided by -2
-266
360 divided by -3
-120
-275 divided by 15
-55/3
Divide -790 by -5.
158
Divide 1003 by -3.
-1003/3
What is 5 divided by 179?
5/179
Calculate 846 divided by 2.
423
Calculate -368 divided by -16.
23
What is 10 divided by 184?
5/92
What is -2160 divided by 4?
-540
Calculate 7825 divided by -5.
-1565
What is 54480 divided by -5?
-10896
5120 divided by 40
128
Calculate -988 divided by -52.
19
Calculate 35 divided by -14.
-5/2
Calculate -3594 divided by -1.
3594
Calculate 7876 divided by 22.
358
Calculate -2646 divided by -18.
147
What is -9104 divided by -8?
1138
What is -9 divided by 997?
-9/997
What is 0 divided by 352?
0
What is 1056 divided by 264?
4
What is -914 divided by -914?
1
Divide 3 by -34.
-3/34
What is -141 divided by -3?
47
Calculate 21762 divided by -6.
-3627
Divide 110 by 2.
55
Calculate -4 divided by -1988.
1/497
Calculate 6021 divided by 5.
6021/5
11435 divided by -2287
-5
Calculate -98 divided by 9.
-98/9
1 divided by -658
-1/658
Calculate 131 divided by -4.
-131/4
Divide -5534 by -2767.
2
198 divided by 22
9
-4 divided by 21
-4/21
Calculate -96 divided by 12.
-8
4 divided by 166
2/83
Divide -5 by 10.
-1/2
What is -3 divided by -1924?
3/1924
Calculate -1635 divided by -545.
3
What is 8298 divided by -18?
-461
Calculate -6 divided by -171.
2/57
Divide -222 by -74.
3
Calculate 11 divided by -6.
-11/6
Calculate -2 divided by -1956.
1/978
Calculate -4 divided by -2239.
4/2239
Divide 32 by -1.
-32
-16 divided by 4
-4
What is 6405 divided by 1?
6405
-7 divided by -1694
1/242
Divide 0 by -65.
0
What is -4 divided by 246?
-2/123
Calculate -127 divided by -31.
127/31
What is -45756 divided by 492?
-93
-84 divided by -14
6
Divide -5 by -18.
5/18
What is 15800 divided by -158?
-100
-3606 divided by 6
-601
Calculate 190 divided by 2.
95
Calculate 12 divided by 3.
4
Calculate 3275 divided by 655.
5
-90 divided by -5
18
Calculate -14779 divided by -2.
14779/2
Calculate 125 divided by -125.
-1
Divide -4472 by 52.
-86
Divide 216 by -9.
-24
Divide 1104 by -69.
-16
Calculate -14835 divided by -1.
14835
Calculate -204 divided by -12.
17
290 divided by 4
145/2
Divide 32 by -10.
-16/5
-249 divided by -3
83
4245 divided by -3
-1415
Divide -1 by -318.
1/318
Divide -10168 by -1.
10168
What is -1 divided by -47?
1/47
What is 9252 divided by 6?
1542
Divide 62 by 2.
31
What is 3702 divided by -617?
-6
1196 divided by -299
-4
0 divided by 143
0
Calculate -1541 divided by -6.
1541/6
What is 560 divided by -35?
-16
-270 divided by -135
2
21674 divided by 2
10837
-1188 divided by 2
-594
Divide 114 by -38.
-3
What is 28 divided by -7?
-4
17 divided by -110
-17/110
What is -40 divided by -40?
1
What is -5106 divided by 69?
-74
1302
|
{
"pile_set_name": "DM Mathematics"
}
|
et t(a) be the second derivative of a + i*a**3 + 1/12*a**4 + 0 + a**2. Factor t(s).
(s + 1)*(s + 2)
Let v = 75 + -72. Solve 5*p**v + 1/2 + 1/2*p**5 + 5*p**2 + 5/2*p + 5/2*p**4 = 0.
-1
Let y be 1 + (-8)/10 + 217/(-1260). Let z(j) be the second derivative of -1/6*j**2 + y*j**4 + 0 + 4*j + 0*j**3. Let z(m) = 0. Calculate m.
-1, 1
Let g(r) = -3*r + 1. Let i be g(1). Let f = 0 - i. Factor b**2 + 0*b - 3*b**f - 2 - 4*b.
-2*(b + 1)**2
Suppose -5*o = -3*w - 23 + 2, o = w + 5. Let s(g) be the first derivative of 0*g - 1 + 1/4*g**2 + 1/12*g**6 + 0*g**o - 1/4*g**4 + 0*g**5. Factor s(y).
y*(y - 1)**2*(y + 1)**2/2
Let k(t) be the second derivative of -5*t**7/42 - t**6/6 + 3*t**5/4 + 25*t**4/12 + 5*t**3/3 - t. Factor k(x).
-5*x*(x - 2)*(x + 1)**3
Suppose -3*i = -3*f, -4*f = 5*i + f. Let u(k) be the third derivative of 0*k**6 + k**2 + 1/1344*k**8 + i*k**4 + 0 + 0*k + 0*k**7 + 0*k**5 + 0*k**3. Factor u(y).
y**5/4
Let r = 18 - 8. Let w be 9/r - (-4)/(-10). Find c such that 0 + 1/2*c + w*c**2 = 0.
-1, 0
Suppose -2*h = -3*h + 4. Let o(l) = -8*l**3 + 11*l**2 - 16*l. Let m(j) = 17*j**3 - 21*j**2 + 33*j - 1. Let p(n) = h*m(n) + 9*o(n). Factor p(f).
-(f - 2)**2*(4*f + 1)
Let h = -6 - -2. Let f be h/(-2)*2/6. Solve -2/3*i**4 + 0 + 0*i - f*i**3 + 0*i**2 = 0.
-1, 0
Let k(v) = -v**4 - 2*v**3 + 3*v**2 - 4*v - 4. Let i(r) = 3*r**4 + 6*r**3 - 8*r**2 + 11*r + 11. Let t(l) = 4*i(l) + 11*k(l). Factor t(m).
m**2*(m + 1)**2
Let x(l) be the third derivative of -l**9/7560 + l**8/3360 + l**7/630 + l**4/24 + l**2. Let m(d) be the second derivative of x(d). Find c such that m(c) = 0.
-1, 0, 2
Let j(y) be the second derivative of 0*y**2 + 1/18*y**3 + 1/60*y**5 - 1/18*y**4 - 2*y + 0. Determine x, given that j(x) = 0.
0, 1
Determine o, given that -2/5*o - 4/5*o**4 + 8/5*o**3 + 4/5*o**2 + 0 - 6/5*o**5 = 0.
-1, 0, 1/3, 1
Let z be 14/3 + 1 + -5. Determine i so that -2/3*i**2 + 4/3 - z*i = 0.
-2, 1
Let u(i) be the first derivative of -i**7/420 - i**6/60 - i**5/20 - i**4/12 + i**3/3 + 1. Let t(v) be the third derivative of u(v). Factor t(c).
-2*(c + 1)**3
Let h(l) = 23*l**3 + 3*l**2 - 20*l - 17. Let k = -6 + 14. Let s(a) = -a + a**2 - 6*a + k*a**3 - 4 - 2. Let b(v) = -6*h(v) + 17*s(v). Factor b(f).
-f*(f + 1)*(2*f - 1)
Factor -9/5*s + 6/5*s**3 - 9/5*s**4 + 3/5*s**5 + 6/5*s**2 + 3/5.
3*(s - 1)**4*(s + 1)/5
Let y(m) be the third derivative of m**6/600 - m**5/100 + 2*m**3/15 - 34*m**2. Determine g so that y(g) = 0.
-1, 2
Suppose -5*b + 3 = 5*t - 2, 0 = -t + 5*b - 23. Let l = t - -5. Factor 12*u**3 + u**4 + 3*u**l - 11*u**3 - 3*u**2.
u**3*(u + 1)
Let r(d) be the first derivative of -16*d**6/105 - 12*d**5/35 - d**4/42 + 2*d**3/7 - d**2/7 + d + 5. Let t(j) be the first derivative of r(j). Factor t(h).
-2*(h + 1)**2*(4*h - 1)**2/7
Let s(b) be the third derivative of b**6/540 - b**5/270 + 4*b**2. Factor s(x).
2*x**2*(x - 1)/9
Let s(j) be the second derivative of j**4/4 + 2*j**3 + 6*j**2 - j. Factor s(r).
3*(r + 2)**2
Let v(s) = -s**5 + s**4 - s**3 - s**2 - s + 1. Let w(q) = 4*q**5 - 7*q**4 + 4*q**3 + 5*q**2 + 5*q - 5. Let g(r) = -5*v(r) - w(r). Factor g(m).
m**3*(m + 1)**2
Suppose 0 = -2*w - 7 + 11. Let 0 + 1/2*i + i**w + 1/2*i**3 = 0. Calculate i.
-1, 0
Let g be 713/(2/((-6)/(-21))). Let s = -101 + g. What is t in 8/7*t**2 + s*t - 2/7 = 0?
-1, 1/4
Let d(k) be the third derivative of 2/9*k**3 + 0*k + 5*k**2 - 1/180*k**6 + 0 + 1/12*k**4 + 0*k**5. Solve d(j) = 0 for j.
-1, 2
Factor 1 + 19*w**2 - 6*w**2 + 2 + 7*w**3 - 2*w**3 + 11*w.
(w + 1)**2*(5*w + 3)
Let i(t) be the first derivative of -2*t**3/3 - 5*t**2 + 12*t + 21. Factor i(m).
-2*(m - 1)*(m + 6)
Let j = -7 + 12. Let -26 - 7*z**2 + 32*z**4 - 32*z**j + 6*z**3 + z + 26 = 0. Calculate z.
-1/2, 0, 1/4, 1
Let y(h) be the second derivative of -1/9*h**7 - 5/3*h**5 + 0 - 5/3*h**3 + 20/9*h**4 + 2/3*h**2 + 2*h + 2/3*h**6. Factor y(d).
-2*(d - 1)**4*(7*d - 2)/3
Let g(q) be the third derivative of -2*q**7/525 + q**5/25 + q**4/15 - 22*q**2. Determine t so that g(t) = 0.
-1, 0, 2
Let x = 1/23 + 131/161. Factor 0 + x*h**2 + 2/7*h**4 + 6/7*h**3 + 2/7*h.
2*h*(h + 1)**3/7
Let p(k) be the third derivative of -7*k**6/240 + 19*k**5/120 + k**4/8 + 20*k**2. Factor p(v).
-v*(v - 3)*(7*v + 2)/2
Factor -5/6*o**3 + 15/2 - 25/2*o + 35/6*o**2.
-5*(o - 3)**2*(o - 1)/6
Let m = 227/264 + -9/11. Let h(s) be the third derivative of -1/60*s**5 + 0*s + 0 + m*s**4 + 0*s**3 + s**2. Factor h(g).
-g*(g - 1)
Suppose -2 + 21*n - 2*n**2 + 17*n**2 + 3*n**3 + 11 = 0. Calculate n.
-3, -1
Let z(g) be the first derivative of -g**4/8 + g**3/6 + g**2/4 - g/2 + 2. Factor z(t).
-(t - 1)**2*(t + 1)/2
Suppose 2*l + 10 = -4*s, s = 4*l - 29 + 13. Let h be (-81)/(-18)*2/3. Factor -u**l + 0*u**3 + 2*u + 2*u**h - 3*u**3.
-2*u*(u - 1)*(u + 1)
Let u(d) be the third derivative of d**7/630 + d**6/180 - d**5/15 - d**4/4 + 3*d**3/2 - 16*d**2 + d. Factor u(j).
(j - 3)*(j - 1)*(j + 3)**2/3
Let c(k) be the first derivative of 2*k**3/9 + 8*k**2/3 + 32*k/3 - 6. Factor c(h).
2*(h + 4)**2/3
Let s(a) = -5 - 7*a - 7*a**2 + 2 + 3. Let v(w) = -3*w**2 - 3*w. Let f(u) = 2*s(u) - 5*v(u). Factor f(q).
q*(q + 1)
Let i(p) be the first derivative of 2*p**6/9 - 4*p**5/3 + 3*p**4 - 28*p**3/9 + 4*p**2/3 - 19. Factor i(l).
4*l*(l - 2)*(l - 1)**3/3
Let k be 8/20 + 18/5. Let d(s) be the first derivative of 1/8*s**k - 4 + 1/2*s**3 + 0*s + 1/2*s**2. Factor d(a).
a*(a + 1)*(a + 2)/2
Let c(u) be the first derivative of -3*u**5/35 - 15*u**4/28 + 13*u**3/7 - 3*u**2/2 - 7. Factor c(j).
-3*j*(j - 1)**2*(j + 7)/7
Let a(t) = -t**5 - t**4 + t**2 - t + 1. Let i(o) = -16*o**5 - 16*o**4 - 2*o**3 + 16*o**2 - 18*o + 18. Let b(y) = 36*a(y) - 2*i(y). Factor b(z).
-4*z**2*(z - 1)*(z + 1)**2
Let s(u) = -2*u + 19 - 15 + 16. Let c be s(10). Let 2/7*q**3 - 6/7*q + c*q**2 - 4/7 = 0. Calculate q.
-1, 2
Suppose 0 = 5*a + 7 + 3. Let r(b) = -2*b**3 - 5*b**2 + 3*b + 9. Let m(i) = -i**3 - 5*i**2 + 3*i + 9. Let n(h) = a*r(h) + 3*m(h). Factor n(v).
(v - 3)**2*(v + 1)
Let g(b) be the third derivative of 0*b - 6*b**2 + 1/6*b**4 + 0 + 1/105*b**7 + 0*b**3 - 1/30*b**5 - 1/30*b**6. Factor g(l).
2*l*(l - 2)*(l - 1)*(l + 1)
Let y(h) be the first derivative of h**6/42 + 3*h**5/35 - 4*h**3/21 + 1. Suppose y(k) = 0. Calculate k.
-2, 0, 1
Let u(v) be the second derivative of -v**6/195 - v**5/65 + 2*v**4/39 + 8*v**3/39 + 17*v. Find y such that u(y) = 0.
-2, 0, 2
Solve 26 - 3*n - 7*n**2 - 36 - 12*n + 2*n**2 = 0 for n.
-2, -1
Let w(d) be the second derivative of 3/20*d**5 - 1/45*d**6 - 3*d + 0*d**2 + 0 - 1/14*d**7 + 0*d**3 + 1/18*d**4. What is v in w(v) = 0?
-1, -2/9, 0, 1
Let b be (-12 + 13)*0/(-2). Let d(q) be the second derivative of -1/10*q**5 - 1/21*q**7 + 0*q**3 + 0 + 2*q + 2/15*q**6 + b*q**4 + 0*q**2. Factor d(p).
-2*p**3*(p - 1)**2
Let s(t) = -t - 1. Let b(y) = -5*y**2 - 36*y + 29. Let w(x) = b(x) - 6*s(x). Solve w(i) = 0.
-7, 1
Let 0 - 1/4*a**3 + 0*a**2 + 0*a = 0. Calculate a.
0
Let v = 331 - 4963/15. Let r(z) be the first derivative of 0*z**2 + 3 - v*z**5 + 0*z**3 + 1/6*z**4 + 0*z. Suppose r(h) = 0. Calculate h.
0, 1
Let t(f) be the first derivative of -2*f + 1/8*f**3 - 1/80*f**5 + 1/4*f**2 + 2 + 0*f**4. Let c(d) be the first derivative of t(d). What is b in c(b) = 0?
-1, 2
Find w, given that 0 + 1/3*w**2 + 2/3*w = 0.
-2, 0
Factor -a**4 - 9*a**3 - 2*a**4 - 93*a**2 + 120*a**2 - 15*a.
-3*a*(a - 1)**2*(a + 5)
Suppose 5*n = 4*n + 5. Factor -d**5 + 2*d + 2*d**2 - 2*d**3 - 3*d**4 + d + 1 + 0*d**n.
-(d - 1)*(d + 1)**4
Let d be ((-11)/88)/((-3)/4). Factor -1/6*j + 1/6 - d*j**2 + 1/6*j**3.
(j - 1)**2*(j + 1)/6
Suppose 3*v - 3*v = 3*v. Factor v - 4*f + 5/2*f**4 + 14*f**2 - 11*f**3.
f*(f - 2)**2*(5*f - 2)/2
Suppose -4*c = -5*j - 2*c + 20, -4 = 3*j + 2*c. Let y be 1/((-3)/(-18)*2). Factor 0*n**4 + 2*n**4 + 2*n**j + 2*n - 4*n**2 - 2*n**y.
2*n*(n - 1)**2*(n + 1)
Let g(b) be the second derivative of -5*b**4/72 - 5*b**3/9 + 5*b**2 - 39*b - 1. What is i in g(i) = 0?
-6, 2
Let z(c) be the third derivative of 17/540*c**6 + 0*c + 11/108*c**4 + 0 - 7/90*c**5 - 1/189*c**7 - c**2 - 2/27*c**3. Factor z(w).
-2*(w - 1)**3*(5*w - 2)/9
Let a be (1*3)/(63/84). Let 9/5*s**3 + 4/5*s**a + 0 + 1/5*s - 12/5*s**5 - 6/5*s**2 = 0. What is s?
-1, 0, 1/3, 1/2
Let o be 3/(-15)*(-5)/24. Let i(f) be the second derivative of 0 + o*f**4 + 1/2*f**2 + 1/4*f**3 + f. Let i(m) = 0. Calculate m.
-2, -1
Let l be (-
|
{
"pile_set_name": "DM Mathematics"
}
|
xpress (-9 + 2*h + 9)*(48*h**2 - 15*h**2 + 12*h**2) as x*h**2 + j*h**3 + a*h + y and give j.
90
Rearrange c**3 + 10*c - 7*c**3 + 7*c**3 + c**3 to d*c**2 + k*c**3 + t*c + n and give k.
2
Rearrange -17 + 17 + 22*u to y + c*u and give c.
22
Rearrange l**2 + 2*l**2 + 8 - 4*l**2 to the form w*l**2 + o + q*l and give w.
-1
Express 3*u**3 + 2*u + u**3 + 2 - 2 as d + r*u**3 + g*u + v*u**2 and give r.
4
Rearrange 107*z**2 - 2362 + 2362 to a*z + o*z**2 + m and give o.
107
Rearrange (-1 + 2 + 0)*(-17*l - 35*l - 54*l) to the form o + r*l and give r.
-106
Rearrange -4*l + 63 - 63 to k*l + v and give k.
-4
Rearrange (1 - 6 - 20)*(3*c + 7 - 7)*(-5*c**2 + 5*c**2 - 2*c**2) to g*c**3 + s + k*c + x*c**2 and give g.
150
Rearrange 2*q**2 + q**2 + q**2 + 3*q**2 to the form d + c*q + t*q**2 and give t.
7
Express j**4 - j**4 - j**4 + (4 - 4 + 7*j**3)*(j - j + j) as q*j + i*j**2 + k*j**4 + m*j**3 + c and give k.
6
Express -2 - 8*c + 2 - 5*c in the form i + w*c and give w.
-13
Express 33*g**2 + 10*g**2 + 34*g**2 - 8*g**2 in the form a + x*g**2 + n*g and give x.
69
Rearrange -3*b**2 - 4*b**3 + 2*b**2 - 2*b**2 to g*b + z*b**3 + n + q*b**2 and give g.
0
Rearrange (-3 + 2*a + 3)*(-1 - 1 + 0) + (-1 + 0 + 0)*(13*a + 9 - 9) to the form z + r*a and give r.
-17
Rearrange (2 + 2 - 6)*(8 - 2 + 0)*(-3 + 0 + 1)*(5*j**3 + 0*j**3 - 3*j**3) to m*j + v + t*j**3 + o*j**2 and give o.
0
Rearrange (l**2 + 0*l**2 + l**2)*(-4 + 2*l + 4) - 4*l**2 + 4*l**3 + 2*l**2 - 8 + 7 to the form t*l**2 + s*l**3 + x*l + r and give t.
-2
Express -40 - 3*n**3 + 2*n**4 - 4*n**4 + 2*n + 43 in the form o*n + z*n**4 + d*n**3 + i + u*n**2 and give d.
-3
Express 4 - 17*y - 2 + 5*y**2 + 2*y**3 + 16*y - 4*y**2 as b*y**3 + s + x*y**2 + f*y and give x.
1
Rearrange (-10 + 3 + 8 - 75*y)*(-3 - 4 + 5) to t*y + i and give t.
150
Express 2 + 6 - 4 + 2*g + 2*g**3 as m + x*g + h*g**3 + q*g**2 and give q.
0
Rearrange -24*d + 12*d + 8*d + 5 to the form w + l*d and give w.
5
Express -26*x + 41*x - 16*x - 10 in the form b + q*x and give b.
-10
Rearrange 6 - 21*x**3 + 22*x**3 + 0*x**2 + 0*x**2 to r*x**3 + w*x + i*x**2 + v and give r.
1
Rearrange -2*s**2 - s**2 + 2*s**2 + ((2*s - 3*s + 3*s)*(1 - 2 - 1) + s + 5 - 5)*(-2*s - 2*s + 2*s) to the form i*s + o*s**2 + u and give o.
5
Rearrange (3 - 3*t - 3)*(-9 - 5*t**2 + 9) + (2 + 3*t**2 - 2)*(2*t - 2*t - t) to the form o*t**3 + i*t**2 + j + a*t and give o.
12
Rearrange -8 + 19 - 3*m**3 + 0*m**3 to a*m + i + f*m**2 + h*m**3 and give h.
-3
Rearrange (0 - 2 + 1)*((0 + 1 + 0)*(0 + 0 + 1) - 4 + 3 + 2)*(-21*n**4 - 28*n**4 + 15*n**4) to the form f*n**4 + q*n**3 + o*n + m*n**2 + u and give f.
68
Express (-8*d**2 - 25 + 24*d**2 - 18*d**2)*(6*d**2 - 5*d**2 + 0*d**2) as b*d**4 + c*d**3 + q*d + h + i*d**2 and give b.
-2
Express 106 - f - 2*f**2 + f**4 - 106 as g*f**3 + w + r*f + b*f**4 + q*f**2 and give r.
-1
Express (-4 + 0 + 0 + 1)*(-3*x - 5*x + 2*x) as q*x + h and give q.
18
Express (3 - 5 + 0)*(16*u - 31*u + 17*u + 7*u**3) + (-u**3 - 2*u**3 + 2*u**3)*(-3 + 3 + 2) - 2*u**3 - u + u in the form s*u**2 + a*u**3 + g*u + w and give g.
-4
Rearrange (-6*t**2 + 3*t**2 - 3*t**2)*(-2*t + 6 + t**2 - 6) to g + a*t**3 + v*t**2 + d*t**4 + b*t and give d.
-6
Express -4*o - o + 6*o + 2*o in the form l*o + a and give l.
3
Rearrange (-a - a**2 + a)*((2*a + 0*a - 4*a)*(0*a - 2*a + 0*a) + (0 - 1 - 1)*(-a**2 + a**2 + a**2)) to the form t*a**2 + g + j*a**4 + k*a + o*a**3 and give j.
-2
Express (1 + 1 - 4 + 3 - 3 - 4 + (3 - 6 + 4)*(-3 - 2 + 3))*(-3*q**4 - 3*q**4 + 4*q**4) in the form g*q**2 + f*q**3 + m*q**4 + z + a*q and give m.
16
Rearrange (-4*n - 3*n + 2*n)*(3 + 3 - 7)*(2*n + 1 - 1)*(0 - 2 + 0) to l*n**2 + i + x*n and give l.
-20
Express (-4 + 4 + 1)*(4*m + m - 3*m)*(-4*m**3 - 13*m**3 + 0*m**3) in the form g*m**4 + p*m**2 + u*m**3 + x + w*m and give g.
-34
Express -11*a**2 + 0 + 0 + 10*a**2 - 9*a in the form b + p*a + z*a**2 and give z.
-1
Express (-4*a**2 + 0*a**2 + 2*a**2)*(3 - 12 + 2)*(2*a + 0*a - 10*a) in the form z*a**3 + l + h*a**2 + x*a and give z.
-112
Express (-9*s + 9*s - 2*s**2)*(-3 + 1 + 1)*(-11 + 11 - 4*s)*(2 + 1 - 4) in the form h*s**3 + r + d*s**2 + m*s and give h.
8
Express 2*s - 2*s + 6*s as d + b*s and give b.
6
Express (-k**4 + k**4 - 2*k**4)*((-2 - 1 + 4)*(4 + 1 - 3) + 3 - 2 - 2 + 44 - 23 + 25) as x*k + c + y*k**2 + g*k**3 + s*k**4 and give s.
-94
Rearrange (-y**2 + 3*y**2 - 3*y**2)*(-21*y + 27*y + 17*y + 102*y) to the form d*y + m*y**3 + v + c*y**2 and give v.
0
Rearrange (-3*l - 3 + 3 + (2 + 1 - 1)*(3*l + 0*l - 2*l))*(-3 + 3 - 2*l) to s*l + h*l**2 + b and give h.
2
Express t + 2*t**4 - 4*t**3 + t**2 + 8*t**3 - 4*t**3 as l*t + w + m*t**3 + f*t**2 + k*t**4 and give f.
1
Rearrange (5 - 2 - 5)*(2*s - 3*s - s)*(39*s + 16*s + 2*s) to t + r*s + o*s**2 and give o.
228
Express (-2*g**2 - 2 + 2)*((1 - 1 + 2)*(1 + 1 - 1) + 2 + 3 - 4) + (-2*g + 6*g - 3*g)*(0*g - g + 3*g) in the form x*g**2 + y + l*g and give x.
-4
Rearrange (-15 + 15 - 3*y)*(1 + y - 1) - 7*y**2 + 19 - 19 to the form u + b*y**2 + w*y and give b.
-10
Rearrange -21*w - 3*w**2 + 21*w to the form k + x*w + r*w**2 and give r.
-3
Rearrange (31 - 6 + 6)*(0*t - t + 3 - 1) + (4 - 2*t - 4)*(1 - 2 + 2) + t - t + t to the form j*t + x and give x.
62
Express (3*o - 4*o + 0*o)*(-1 + 3 - 1) - o + 6*o + o as w*o + x and give w.
5
Express (-2*n**2 + 2*n**2 - 2*n**4)*(2 - 3 + 0) + (6*n**4 - 2*n**4 - 3*n**4)*(4 + 2 + 35) as h*n**2 + i*n**3 + b*n**4 + t + y*n and give b.
43
Express a**4 - 1 + a**3 + 2*a**4 - 2*a**2 + 4*a**2 - a**4 in the form s*a**3 + y + v*a**4 + w*a + i*a**2 and give v.
2
Express -358*s**3 + 2 - 36*s**4 + 357*s**3 - 3*s**2 + 3*s**2 as c*s**3 + j*s + t*s**4 + h + m*s**2 and give t.
-36
Express (0 + 2 - 1 - 2 + 3 + 0 + (2 + 0 - 4)*(-3 - 4 + 6) - 2 + 5 - 1)*(0 - 3 + 5)*(-2*x + 1 - 1) as s*x + f and give s.
-24
Rearrange ((2 + 1 - 1)*(2 - 2 - 2) + (0 - 2 + 0)*(3 - 5 + 4))*(0*h + 2*h**2 + 0*h) to the form q*h**2 + s*h + b and give q.
-16
Express -2*r**3 + 8*r + r**2 - 3*r - r**2 as n*r + i*r**2 + z + m*r**3 and give m.
-2
Express (2*m**2 - m**3 - 2*m**2)*(-1 + 1 + 2*m) + 2*m**3 + 4*m**4 - m**4 + 0*m**4 as g*m**3 + b*m**2 + r*m + i*m**4 + x and give g.
2
Express 2*m**2 + 1 - 22*m**4 + 24*m**4 - m + m**3 - m**3 in the form s*m + d + a*m**3 + z*m**2 + f*m**4 and give z.
2
Rearrange -2*g**3 - 13 - 2*g**2 + 1821*g + 4*g**2 - 1823*g to the form v*g + p*g**2 + s + u*g**3 and give p.
2
Express (31*v - 56*v + 22*v - 7)*(2*v**2 + 0*v + 0*v) as c*v + w*v**2 + x*v**3 + n and give w.
-14
Rearrange (0*f**3 - 3*f**3 - f**3)*(-36*f + 11*f - 36*f + 15*f) to o*f**3 + h*f + m*f**4 + q*f**2 + c and give m.
184
Express f**3 + 2*f**2 - 2*f + 2*f**4 + f + 0*f as v*f + s*f**2 + g*f**3 + p + d*f**4 and give s.
2
Express (-2*a + 0*a + 5*a)*(-1 - 3 + 1)*(-3 + 2 - 1) in the form b*a + t and give b.
18
Rearrange (3*j + j**3 - 3*j)*(3 - 3 + 2) + (-2*j - 2*j + 2*j)*(10*j**2 - 4*j**2 - 11*j**2) to v + a*j + w*j**2 + o*j**3 and give o.
12
Rearrange (4 - 3 + 1)*(1 + 0 + j - 8) to the form z*j + c and give z.
2
Rearrange (-r + 1 - 1)*(3 + 2*r**2 - 3) + 21*r**3 - 9 + 9 to the form z*r**2 + p + x*r**3 + y*r and give p.
0
Express 3 - 400*w**3 + 399*w**3 + 2*w + w as y*w**3 + s*w + z + t*w**2 and give y.
-1
Express -1486*x - 2*x**3 + 1486*x + 62 as p*x**3 + y*x + t*x**2 + n and give p.
-2
Express (-d - 2 + 2)*(-1 + 3 - 6)*(-d**2 + d**2 + d**2) - 3*d**3 + 3*d**3 - d**3 in the form q*d + b + t*d**2 + c*d**3 and give c.
3
Express 4*v - 109 - 8*v + 52 + 52 in the form i + l*v and give i.
-5
Express 126*w**2 + 40*w**2 + 5*w - w - 2*w in the form f*w + j*w**2 + g and give f.
2
Rearrange -4*m - 3*m - 1 - m to o*m + w and give o.
-8
Rearrange (45 - 23 + f - 25)*(-4*f + 3*f + 0*f) to the form t*f + y*f**2 + b and give t.
3
Rearrange (-5*x + 2*x**2 + 5*x)*(1 + 0 - 2)*((5 - 3 - 1)*(-2*x + 5*x - 4*x) - 8*x - 3*x + x) to j*x**2 + q + k*x**3 + o*x and give q.
0
Rearrange 3*f**2 - f**4 - f**2 - 1 + 2*f + 0*f**2 - 4 to m*f**2 + r*f + i*f**3 + a*f**4 + j and give m.
2
Express (-5*a + 7*a + 2*a + (3 + 0 - 1)*(-a + 5*a - 3*a))*(a + 0*a - 4*a) as m*a**2 + g*a + u and give m.
-18
Rearrange (3 - 3 + 3)*((3 - 3 - 2)*(-3 - 4*s + 3) - 3*s + 5*s - s) to the form p + w*s and give w.
27
Express (0*u - u + 2 + 0)*(-59*u + 103*u - 78*u) + 3*u**2 - 9*u**2 + 2*u**2 in the form r*u + w*u**2 + m and give r.
-68
|
{
"pile_set_name": "DM Mathematics"
}
|
et k = -1.1 - -1.1. Suppose -4*z = -x - 2*x + 19, 0 = -5*x - 5*z - 15. What is the nearest to p in x, -5, k?
k
Suppose 0 = -d, d - 12 = -3*j + 5*d. Let r be 10/115 - (-504)/(-1035). Let m be 6/27 - 13/18. Which is the nearest to m? (a) j (b) r (c) 2/5
b
Let u = -368 + 367.97. What is the nearest to -1 in u, 5, 4, -2?
u
Let y = -6 + 4. Let p be -1 + 14/6 + y. Let i = -0.11 - 0.89. What is the nearest to i in -4/7, 4, p?
p
Let y = -1040 - -1043.9. Which is the nearest to 1/3? (a) 5 (b) y (c) -3
c
Let n = -208 + 204. Which is the nearest to -1/4? (a) n (b) 0 (c) 2
b
Let y = -2286 - -6857/3. Let g be (-2)/3 - (-26)/(-6). Let z = 11 - 7. Which is the closest to y? (a) g (b) z (c) 0.1
c
Let s = 0.091 - 3.091. Let q = -17 + 20. What is the nearest to -2/7 in q, s, -1?
-1
Let s = -133.4 + 134. Which is the nearest to s? (a) -1/5 (b) -4/3 (c) -0.1
c
Suppose 2*m + 2 + 12 = 0. Let v be (-7)/12 - m/(-42). Let h = 1.5 + -2. Which is the closest to 2/5? (a) -4/3 (b) h (c) v
b
Let s = 927 - 932. Which is the nearest to -34? (a) -2 (b) s (c) 0.4
b
Let u = -288 + 288. What is the closest to u in 0.1, -94, 4?
0.1
Let m = 358 - 361. Which is the closest to m? (a) -2/7 (b) 0 (c) 0.4
a
Let p = -15 - -16.1. Let l = p - 1.7. Let w = l - -0.2. What is the closest to -1 in w, -3, 3?
w
Let o(f) = f + 11. Let z be o(-9). What is the closest to z in -3/4, -2, -1/5?
-1/5
Let j = 73 + -32. Let a = j + -17. Let l = a + -22. What is the nearest to -2 in l, -0.2, -2/9?
-2/9
Suppose 0 = -3*p - 3*r - 6, -2*p - r - 7 = 2*r. Let t be p/(2/2) + 5/(-7). Which is the nearest to 1? (a) t (b) 1/8 (c) 0
a
Let t = 20/89 - 131/979. Which is the closest to -2? (a) -3/2 (b) t (c) -1/3
a
Let g = -2 - -2.5. Let p = 1/2422 + -606/1211. What is the closest to p in -1/6, g, -2?
-1/6
Let l = 96 + -96.5. What is the closest to 1/5 in l, 5, 3?
l
Suppose w = -x, -3*x - 5 = -2*x. Let k be 2/(-3) - 1/3. Which is the nearest to k? (a) w (b) 1 (c) 0.1
c
Let r = 0.3 + -0.1. Let i be (1 - 64)*(-9)/117 + -5. Which is the closest to -0.1? (a) r (b) i (c) 3
b
Let w = -11/82 - 15/41. Which is the closest to -15/4? (a) -2 (b) -0.07 (c) 2/3 (d) w
a
Let i = -7.82 + -0.18. Let x = -8 - i. Let u be 1*(-1 + 6*1). What is the nearest to x in 0, -0.3, u?
0
Let s = 655/3 + -219. Which is the closest to s? (a) -4 (b) -1/9 (c) -1
c
Let z = -0.3 + 0.2. Suppose 2*x - u + 15 = 4*x, -5*x = 4*u - 45. Let f = -11 + 65/6. What is the closest to 0 in f, z, x?
z
Let i(v) be the second derivative of v**3/3 + v**2 - 8*v. Let r be i(0). Suppose u + u = -r. What is the closest to -0.1 in 5, 3, u?
u
Let d = 0.474 - 0.074. What is the nearest to -3 in -1, d, 1/7, 0?
-1
Let p = -99 - -498/5. Let k = 679 - 677. What is the nearest to 2 in k, p, 2/5?
k
Let t = -131.7 + 132. Let m = -7.7 - 0.3. What is the nearest to 0 in t, 5/3, m?
t
Let o = 0.04 - -0.26. Let y = 0.4 - o. Let x = -0.2546 - -0.1546. What is the nearest to y in -1, 0, x?
0
Suppose -2*n + 16 = 2*s, 4 = -7*s + 10*s - n. Which is the closest to -1? (a) 0.3 (b) -2/9 (c) 4/9 (d) s
b
Let n(z) = z**3 - 3*z**2 - 4*z + 4. Let j be n(4). Let x = 0.32 - 0.3. Let o = x - 0.12. Which is the closest to o? (a) j (b) -2/9 (c) 1
b
Let p = 769/8 - 97. Let u be (-3)/(-6) - (0 + 1). Let w = u - p. What is the closest to 1 in 5, -0.4, w?
w
Let f(v) = 72*v + 358. Let h be f(-5). Which is the closest to -0.1? (a) -2/17 (b) -0.5 (c) 1 (d) h
a
Let h = 3/475 - -463/1900. Which is the closest to -32? (a) 0 (b) -2 (c) h
b
Let r = -0.2 + 0.02. Let c = r - 5.32. Let x = c - -0.5. What is the closest to -1/3 in x, -0.2, -4?
-0.2
Suppose 0 = -10*f + 6*f - 132. Let i = f - -32. Which is the nearest to i? (a) -0.3 (b) 1/8 (c) 0.2
a
Let o = -4 + 14. Let b = 14 - o. Let x = 2.2 + 0.8. What is the nearest to x in -0.2, -4, b?
b
Let f = -4 - -38/9. What is the nearest to 0.08 in -2/5, f, 1?
f
Let v = -0.1218 - -0.0218. Let r = -4.1 - -0.1. Which is the nearest to 2? (a) -0.4 (b) v (c) r
b
Let u = 2 + -12/7. Let k = 0.4 - -4.6. Which is the closest to -1? (a) k (b) u (c) 2
b
Let s(b) = -172*b - 2920. Let d be s(-17). Let t = 5 + -9/2. What is the nearest to t in 0.1, d, -2/15?
0.1
Let f = 29 + -29.245. Let y = f + -0.055. Suppose 2*r - 6 = -14. Which is the closest to 0? (a) r (b) y (c) -3/5
b
Let i = 10 - 10.3. Let t = 86 - 81. Which is the nearest to 0.07? (a) 2 (b) i (c) t
b
Let i = 2.32 - 0.32. Let t = i - 2. Let k = -1 + 1.2. What is the closest to k in 2, t, 3/2?
t
Let d = -9/7 + 43/28. Which is the closest to d? (a) 3/5 (b) 0.5 (c) 1/9
c
Suppose 5*v - 40 = v + 4*o, -3*v = 5*o - 70. Suppose -5 = -5*i - v. What is the nearest to i in 1, 2/5, 2?
2/5
Let v be 30/35 - 340/315. Which is the nearest to 3? (a) v (b) 2 (c) -2.1 (d) 0.5
b
Let y = 86 + -82. Suppose -5*s = -4*u + 7, s + 15 = 4*s + y*u. What is the closest to 1 in 0.2, s, -2?
s
Let w be 320/(-1440) - ((-8)/126)/(-1). Which is the closest to 0? (a) w (b) 1 (c) 24
a
Let r = -11 - -11.06. Let k = -0.04 - r. Which is the nearest to 1? (a) k (b) 9 (c) 3/4
c
Let p = 0.309 + -2.309. Which is the nearest to 2? (a) 0 (b) p (c) 5 (d) -2.1
a
Let d = -0.3 + -0.2. Let g(c) = c**3 + 3*c**2 - 2*c - 4. Let p be g(-2). Let h be (-4)/(-12)*2/(p/(-9)). What is the closest to 0 in h, d, -0.3?
-0.3
Let p = 425/7 - 61. Let o be 121/110 + 2/5. What is the nearest to p in o, 2, 0.3?
0.3
Let n = -0.0548 - 0.0452. What is the closest to n in -3/4, -2/11, 5, 3/7?
-2/11
Suppose -2*u = -5*m - 34, 0 = 3*u + m - 38 + 4. Suppose -u*z + 17*z = 20. Which is the closest to 0.06? (a) -0.5 (b) z (c) 0.3
c
Let i = 1991 + -1987. Which is the closest to -1/4? (a) 8 (b) i (c) 0.3
c
Let j = 0.01 + -3.01. Let s = j + 4. Let z be 20/25*(-24)/(-32). Which is the nearest to 0? (a) z (b) 4 (c) s
a
Let h = 14 - 14.6. Let q = -265 + 263. What is the nearest to 2/3 in 4, q, h?
h
Let y = -4109 - -4110. Let g = 0.3 + -0.8. Let s = 3 - 2. What is the closest to y in s, g, -4?
s
Let s = 2851 + -2856. Which is the nearest to -515? (a) s (b) -4 (c) 1/6
a
Let i = -1.95 + -0.05. Let j = 2.44 - 5.44. What is the closest to -0.1 in -2/5, j, i?
-2/5
Let h = 306.6 - 306.4. What is the nearest to 1 in 4, 5, h?
h
Let x be (-200)/(-250) - (-676)/(-870). Which is the closest to 4? (a) 4 (b) -1/4 (c) x
a
Let i be (0 + (-2)/4)*(-99)/(-33). Which is the nearest to -13? (a) i (b) -5 (c) -4
b
Let m = -3.74 - -3.24. Let r be (2/(-6))/((-1)/2). What is the nearest to 1 in m, 8, r?
r
Let v = -0.006 + 12.006. What is the closest to -2 in -2/13, -0.5, v?
-0.5
Let j = -12 + -88. Let v = -99.96 - j. Which is the closest to 1? (a) 0.5 (b) v (c) 0.2
a
Let c = -0.5 - 3.5. Let g = 21 + -6. Let t = -14.9 + g. What is the nearest to t in -0.4, c, -2?
-0.4
Let g = 1.04 + -1. Let d = -0.34 + g. Let p = -2.1 - -2.2. What is the nearest to -4 in -3, d, p?
-3
Let k = 734 - 733. Which is the closest to k? (a) 1 (b) 5 (c) 0 (d) -4
a
Suppose -2*r = x + 1, 0 = 4*x + 5*r - 0 + 10. Which is the nearest to 1.2? (a) 0.5 (b) 0.3 (c) x
a
Let k = 779/4 - 2353/12. What is the nearest to -0.1 in k, 2/11, 0.4?
2/11
Let p = 55.3 + -55.1. What is the nearest to 2/5 in 2/33, -2/5, p, 0?
p
Let d = 97 + -74. Let l = -28 + d. Which is the nearest to 0? (a) 1/4 (b) -0.2 (c) l
b
Let r(s) = -21*s + 104. Let m be r(5). Which is the closest to 2/3? (a) m (b) 2 (c) 5
b
Suppose 0 = w + 1 - 6. Let x = 0.123 + -0.223. What is the nearest to -0.06 in w, x, -3?
x
Let u be (-5)/(-6) + -1*150/72. What is the closest to 1 in 2, -0.3, u?
2
Let r = -91/6 + 461/30. Which is the closest to 2/3? (a) 0.5 (b) 1/4 (c) r (d) -7
a
Let y = 127.6 - 131.6. What is the nearest to 1 in y, 1, -1/214?
1
Let p be ((-10)/(-45))/(2/(-4)). What is the closest to 0 in 5, p, -1?
p
Let h = 23 - 23. Let n be 8 - (3 + h/2). Which is the closest to 2/3? (a) 3/5 (b) 1 (c) n
a
Let z = -0.615 + 0.715. Which is the nearest to -1/7? (a) 0.05 (b) z (c) -5
a
Let x = -0.3 - -0.7. Let t = -0.3 + x. What is the nearest to t in -0.2, 0.2, 2?
0.2
Let w = -0.16 - 0.1. Let p = w + -0.04. Let g be 225/(-24) - (9 - 18). What is the nearest to -1 in 1, g, p?
g
Let b = 1073 - 1069. What is the closest to -1 in 2/5, 0.5, 12, b?
2/5
Let s = 16 + -15. Let w = -83 - -83.94. Let x =
|
{
"pile_set_name": "DM Mathematics"
}
|
9 = 8*c - 423*c - 524 for c.
7
Solve -87*a + 15 = 299 + 151 for a.
-5
Solve -123*s + 108*s - 150 = 0 for s.
-10
Solve 0 = 52484*m - 52499*m - 195 for m.
-13
Solve 147*o - 169 = 160*o for o.
-13
Solve 0 = 22*m - 29*m + 121*m - 684 for m.
6
Solve -56*b = -9*b - 21 - 355 for b.
8
Solve -2561 = -549*l + 9517 for l.
22
Solve 95*v - 117*v = 132 for v.
-6
Solve 26 = -33*k + 106 + 217 for k.
9
Solve 3775*m - 3777*m + 10 = 0 for m.
5
Solve 28*v + 369*v + 1869 = -1307 for v.
-8
Solve 193 - 523 = -30*p for p.
11
Solve 168*o - 666 = -162 for o.
3
Solve -266 = 608*d - 874*d for d.
1
Solve 0 = -3*o + 148 - 118 for o.
10
Solve 89*b + 1320 = -21*b for b.
-12
Solve -173*j + 494*j = -5457 for j.
-17
Solve 151*m + 484 - 763 + 2091 = 0 for m.
-12
Solve 237*s = 301*s - 448 for s.
7
Solve -16*t = 574 - 542 for t.
-2
Solve -478*r - 2248 = 9702 for r.
-25
Solve -203*n - 1460 + 19 = -20 for n.
-7
Solve 2661*q - 32880 - 46950 = 0 for q.
30
Solve 135*x = -1344*x - 172*x + 1651 for x.
1
Solve 64*h - 1717 = -37*h for h.
17
Solve 8*p = 2*p - 40 - 32 for p.
-12
Solve -2617*k + 204 = -2634*k for k.
-12
Solve 1241*x - 1233*x - 96 = 0 for x.
12
Solve 84*z - 135 = -1311 for z.
-14
Solve 4451 + 1108 = 327*p for p.
17
Solve 18*b - 19*b = -21*b + 180 for b.
9
Solve 434*k + 6622 = -512*k for k.
-7
Solve 616*w + 956 = 710*w - 1112 for w.
22
Solve 0 = 579*y - 319*y + 2080 for y.
-8
Solve 701 = -112*o - 867 for o.
-14
Solve -1206 = -110*x + 177*x for x.
-18
Solve 49*f + 142 = -250 for f.
-8
Solve -80*a = 124 + 46 + 70 for a.
-3
Solve 0 = -4458*k + 4435*k - 207 for k.
-9
Solve -34865*j + 992 = -34741*j for j.
8
Solve 468 - 138 = -211*p - 92 for p.
-2
Solve -579*b - 20 = -297*b - 287*b for b.
4
Solve 0 = 1036*g + 889*g + 11550 for g.
-6
Solve -120*l - 1534 + 110 - 136 = 0 for l.
-13
Solve -325*f - 132 = 304*f - 673*f for f.
3
Solve 1496 = 49*b + 186*b + 139*b for b.
4
Solve 15753*u - 99 = 15786*u for u.
-3
Solve -5*q + 84*q = 117 + 278 for q.
5
Solve 79 = 10*k - 1 for k.
8
Solve -374 = 88161*o - 88183*o for o.
17
Solve 112*j - 218 - 8 = 446 for j.
6
Solve -143*c - 148*c = -274*c - 272 for c.
16
Solve -5644 = 38*o - 5150 for o.
-13
Solve -348 = 109*g - 150*g + 226 for g.
14
Solve 87*v = 75*v - 7 + 79 for v.
6
Solve 159*z - 260 = 3301 + 255 for z.
24
Solve 284 = 152*y + 436 for y.
-1
Solve -10*c - c - 9*c = -20 for c.
1
Solve 0 = -49*g + 274 - 813 for g.
-11
Solve 27*v + 7 - 51 = 10 for v.
2
Solve -195*f + 2713 - 909 = -2486 for f.
22
Solve -3*q + 96 = q + 8*q for q.
8
Solve 342 + 630 = 324*p for p.
3
Solve 1991 - 743 = 104*w for w.
12
Solve 351*z - 417*z - 2095 = -511 for z.
-24
Solve 0 = -25*r - 361 + 261 for r.
-4
Solve -25*n - 4641 = -5341 for n.
28
Solve -288*h - 19 = -287*h for h.
-19
Solve 361*g = -2040 - 3014 for g.
-14
Solve 0 = 40*j + 3 + 197 + 760 for j.
-24
Solve -w = 11*w - 88 + 52 for w.
3
Solve -269 = -54*n + 109 for n.
7
Solve 6086 = -416*f - 154 for f.
-15
Solve 93*y = 268*y + 1925 for y.
-11
Solve -18*t + 17 - 38 = 33 for t.
-3
Solve 0 = -4090*m + 4676*m + 20510 for m.
-35
Solve 0 = -2*b - 2871 + 2863 for b.
-4
Solve -90 = 44*t - 25*t - 28*t for t.
10
Solve 434*l - 16280 = -306*l for l.
22
Solve 0 = 16*t + 2310 - 2214 for t.
-6
Solve 30*v + 127*v + 421*v + 4624 = 0 for v.
-8
Solve -61*h + 450 = 14*h for h.
6
Solve -81 - 27 = -4882*p + 4900*p for p.
-6
Solve 418*u + 1302 = 325*u for u.
-14
Solve -92*c + 112*c = -140*c - 2560 for c.
-16
Solve 0 = -56*v + 79 + 257 for v.
6
Solve -4 = 30017*l - 30019*l for l.
2
Solve 0 = 16*p + 66*p - 1263 - 869 for p.
26
Solve -4855*m + 4906*m = -561 for m.
-11
Solve 15 + 91 = -39*n - 50 for n.
-4
Solve 0 = -133*g + 168*g - 140 for g.
4
Solve -7631*q + 7648*q = -153 for q.
-9
Solve 3*g = -58*g - 427 for g.
-7
Solve 91*h = 20*h - 159 - 196 for h.
-5
Solve 66*s = -236*s - 18*s - 1600 for s.
-5
Solve -14*o + 126 = -126 + 252 for o.
0
Solve 17*a - 487 + 249 = 0 for a.
14
Solve -701 = -7*f + 43*f - 449 for f.
-7
Solve 202 - 1552 = -27*z + 77*z for z.
-27
Solve 541*l - 2354 = 434*l for l.
22
Solve 5659 - 875 = -299*x for x.
-16
Solve -1754*h + 1716*h = -532 for h.
14
Solve -3460*n + 1064 = -3384*n for n.
14
Solve 20*t + 1798 = 1338 for t.
-23
Solve 0 = 55*z + 1038 - 213 for z.
-15
Solve -10170*p + 10213*p = 1247 for p.
29
Solve 5415 + 5225 = 532*v for v.
20
Solve -108*m = 1913*m - 62651 for m.
31
Solve 14*y - 11 - 97 = -13*y for y.
4
Solve 978 = 140*j - 2 for j.
7
Solve 152*t - 5*t = -26*t - 1211 for t.
-7
Solve -8018*u + 799 = -8065*u for u.
-17
Solve -19*m = 121*m - 104*m - 504 for m.
14
Solve -1177*r = -1183*r + 24 for r.
4
Solve -375 = -228*h + 203*h for h.
15
Solve 0 = -29569*o + 29592*o - 276 for o.
12
Solve 248*n - 2354 = -1114 for n.
5
Solve -170 = 10*d - 499 + 229 for d.
10
Solve 49*j - 96 - 21 - 275 = 0 for j.
8
Solve 165*b - 260 + 123 = 853 for b.
6
Solve -302*q = -331*q + 13 + 16 for q.
1
Solve -54 = 5*g - 30*g - 4 for g.
2
Solve 55*a + 329 - 879 = 0 for a.
10
Solve 112*a + 9*a = -182*a - 3636 for a.
-12
Solve -376*f + 11070 - 542 = 0 for f.
28
Solve 3400*x + 1404 = 3322*x for x.
-18
Solve 34*o - 655 = 668 - 1289 for o.
1
Solve 41*o + 254 + 6 = 14 for o.
-6
Solve -1992 = -24*y - 1704 for y.
12
Solve 4 + 312 = -39*f + 43 for f.
-7
Solve 308*f - 8518 - 1646 = 0 for f.
33
Solve -353*x + 12922 = -36*x + 3095 for x.
31
Solve 647 = 505*f + 142*f - 1941 for f.
4
Solve 18*l - 32*l = -21*l - 63 for l.
-9
Solve -806 = 86*v + 4*v + 1264 for v.
-23
Solve 0 = -2*l + 7445 - 7467 for l.
-11
Solve 10*u - 71 = 14 - 5 for u.
8
Solve a = -10*a + 8*a + 30 for a.
10
Solve -3355 + 17665 = 795*q for q.
18
Solve -707*j + 2310 = -245*j for j.
5
Solve -73*j + 67*j - 1782 = -168*j for j.
11
Solve -45 = 13*w - 240 for w.
15
Solve 192 + 773 = 83*p - 280 for p.
15
Solve -2*y + 408 = -10*y + 352 for y.
-7
Solve 256 - 264 - 328 = -56*i for i.
6
Solve -140*i + 6140 = -447*i for i.
-20
Solve 99849*z = 99852*z - 12 for z.
4
Solve 0 = -531*w - 162*w + 8316 for w.
12
Solve -23*c - 2 - 30 - 37 = 0 for c.
-3
Solve 4492 = -234*z - 3531 + 2875 for z.
-22
Solve 0 = -28*k - 76*k + 4*k + 400 for k.
4
Solve 23*v - 24082 + 24611 = 0 for v.
-23
Solve -13*a + 114 = 176 + 185 for a.
-19
Solve 123*i - 29882 + 8394 = 755*i for i.
-34
Solve -17*j = -23 - 113 for j.
8
Solve 0 = -106*p - 76*p + 126*p + 168 for p.
3
Solve -126 = -2244*d + 2265*d for d.
-6
Solve 574*x - 3490 - 4546 = 0 for x.
14
Solve 1788 = 42*q + 107*q for q.
12
Solve 97*n - 212*n - 158*n = 1638 for n.
-6
Solve 115 = -130*j + 153*j for j.
5
Solve 245*d = 269*d + 55 + 257 for d.
-13
Solve 2255*r + 38729 = -35686 for r.
-33
Solve 27*o + 22 - 1 = -6 for o.
-1
Solve -271*w - 4770 + 484 + 221 = 0 for w.
-15
Solve -42*q - 477 = 363 for q.
-20
Solve -2655 + 895 = 352*f for f.
-5
Solve 46*a + 3*a = -1132 + 250 for a.
-18
Solve -18 - 15 = -19*l + 5 for l.
2
Solve -143*p - 48 = -81*p - 86*p for p.
2
Solve -4058 = -4*x - 4094 for x.
-9
Solve -2752 + 1979 = 470*v + 3457 for v.
-9
Solve -889*m - 1426 = 856*m - 1807*m for m.
23
Solve 36*q + 61 + 73 = -46 for q.
-5
Solve -342*w + 19*w + 2248 = -2597 for w.
15
Solve 1824 = 38559*h - 38502*h for h.
32
Solve -1683 = 373*l - 472*l for l.
17
Solve 87*p - 410 - 146 = -34 for p.
6
Solve -145*x = 22*x + 1803 + 869 for x.
-16
Solve 2*s = 147*s - 1247 + 5887 for s.
-32
Solve -1794*a + 3486*a + 376 = 1786*a for a.
4
Solve -89*v - 93*v + 232 = -66*v for v.
2
Solve -65*f + 274 = 209*f for f.
1
Solve -343 = -41*f - 103*f + 233 for f.
4
Solve 194*y = 143*y + 146*y for y.
0
Solve -3*w + 454 = 472 for w.
-6
Solve 470*u = 483*u + 182 for u.
-14
Solve -5057*k + 1040 = -5265*k for k.
-5
Solve 33*s - 365 = 106*s for s.
-5
Solve 0 = 17*l + 186*l + 38*l - 1205 for l.
5
Solve -112*c = 169*c - 2248 for c.
8
Solve -56*y - 650 = 74*y for y.
-5
Solve -33 + 55 - 231 = 11*y for y.
-19
Solve 723*i = -5777 - 1081 + 351 for i.
-9
Solve -126*c - 168*c + 7*c + 6601 = 0 for c.
23
Solve -4292 = -330*w - 65 + 63 for w.
13
Solve -59*n = -1755 + 752 for n.
17
Solve 7754 = -35*x + 8244 for x.
14
Solve 0 = -532*i + 4764 + 16516 for i.
40
Solve 0 = -243*w + 4884 - 9015 for w.
-17
Solve 49*p + 2620 = 110*p + 70*p for p.
20
Solve -14*s - 1 = -11 - 4 for s.
1
Solve -9*h = -82*h + 1168 for h.
16
Solve -34*d - 20*d = -2*d - 208 for d.
4
Solve -120 = -2*y + 4*y - 110 for y.
-5
Solve -406*d + 401*d = 35 for d.
-7
Solve 243*k + 25
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest integer?
3
What is 590 to the power of 1/4, to the nearest integer?
5
What is the square root of 13173 to the nearest integer?
115
What is the fifth root of 964 to the nearest integer?
4
What is the cube root of 116213 to the nearest integer?
49
What is the fifth root of 782 to the nearest integer?
4
What is 6962 to the power of 1/2, to the nearest integer?
83
What is the square root of 851 to the nearest integer?
29
What is 792 to the power of 1/2, to the nearest integer?
28
What is the square root of 3536 to the nearest integer?
59
What is 41067 to the power of 1/2, to the nearest integer?
203
What is the fourth root of 884 to the nearest integer?
5
What is the ninth root of 59483 to the nearest integer?
3
What is 422 to the power of 1/3, to the nearest integer?
8
What is 3349 to the power of 1/2, to the nearest integer?
58
What is 651 to the power of 1/8, to the nearest integer?
2
What is 6742 to the power of 1/3, to the nearest integer?
19
What is the cube root of 17801 to the nearest integer?
26
What is 5016 to the power of 1/3, to the nearest integer?
17
What is the third root of 6782 to the nearest integer?
19
What is the cube root of 11343 to the nearest integer?
22
What is 7983 to the power of 1/2, to the nearest integer?
89
What is 56634 to the power of 1/4, to the nearest integer?
15
What is 123995 to the power of 1/2, to the nearest integer?
352
What is 9056 to the power of 1/2, to the nearest integer?
95
What is the third root of 556 to the nearest integer?
8
What is the fourth root of 872 to the nearest integer?
5
What is the square root of 27123 to the nearest integer?
165
What is the eighth root of 16690 to the nearest integer?
3
What is 3039 to the power of 1/2, to the nearest integer?
55
What is 41484 to the power of 1/4, to the nearest integer?
14
What is 11502 to the power of 1/3, to the nearest integer?
23
What is the eighth root of 15973 to the nearest integer?
3
What is the tenth root of 523 to the nearest integer?
2
What is the ninth root of 14836 to the nearest integer?
3
What is 11254 to the power of 1/3, to the nearest integer?
22
What is 1797 to the power of 1/2, to the nearest integer?
42
What is the square root of 7505 to the nearest integer?
87
What is the third root of 378 to the nearest integer?
7
What is the third root of 9889 to the nearest integer?
21
What is the square root of 2772 to the nearest integer?
53
What is 28765 to the power of 1/2, to the nearest integer?
170
What is the square root of 27362 to the nearest integer?
165
What is the cube root of 115966 to the nearest integer?
49
What is the square root of 159353 to the nearest integer?
399
What is the ninth root of 12984 to the nearest integer?
3
What is the cube root of 16362 to the nearest integer?
25
What is the third root of 986 to the nearest integer?
10
What is 23168 to the power of 1/2, to the nearest integer?
152
What is 129220 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 138178 to the nearest integer?
19
What is 141 to the power of 1/6, to the nearest integer?
2
What is 17099 to the power of 1/6, to the nearest integer?
5
What is the cube root of 8098 to the nearest integer?
20
What is 133 to the power of 1/7, to the nearest integer?
2
What is the third root of 130832 to the nearest integer?
51
What is the cube root of 1930 to the nearest integer?
12
What is the cube root of 83420 to the nearest integer?
44
What is the square root of 30382 to the nearest integer?
174
What is the fourth root of 17465 to the nearest integer?
11
What is the square root of 128044 to the nearest integer?
358
What is 4888 to the power of 1/2, to the nearest integer?
70
What is the square root of 948 to the nearest integer?
31
What is 121750 to the power of 1/2, to the nearest integer?
349
What is the square root of 1065 to the nearest integer?
33
What is the third root of 68442 to the nearest integer?
41
What is the third root of 14330 to the nearest integer?
24
What is the square root of 4229 to the nearest integer?
65
What is the third root of 4123 to the nearest integer?
16
What is 6636 to the power of 1/2, to the nearest integer?
81
What is the tenth root of 11842 to the nearest integer?
3
What is the cube root of 11729 to the nearest integer?
23
What is the square root of 669 to the nearest integer?
26
What is the square root of 3832 to the nearest integer?
62
What is 287 to the power of 1/2, to the nearest integer?
17
What is the seventh root of 14611 to the nearest integer?
4
What is 1101 to the power of 1/7, to the nearest integer?
3
What is 939 to the power of 1/6, to the nearest integer?
3
What is the third root of 19036 to the nearest integer?
27
What is 192 to the power of 1/8, to the nearest integer?
2
What is 2720 to the power of 1/9, to the nearest integer?
2
What is the third root of 900 to the nearest integer?
10
What is the square root of 10312 to the nearest integer?
102
What is the square root of 46028 to the nearest integer?
215
What is the square root of 2903 to the nearest integer?
54
What is the square root of 59604 to the nearest integer?
244
What is the eighth root of 425 to the nearest integer?
2
What is 522 to the power of 1/2, to the nearest integer?
23
What is the cube root of 740 to the nearest integer?
9
What is 3480 to the power of 1/5, to the nearest integer?
5
What is the square root of 31982 to the nearest integer?
179
What is 3100 to the power of 1/7, to the nearest integer?
3
What is the third root of 1651 to the nearest integer?
12
What is the seventh root of 204 to the nearest integer?
2
What is the square root of 15979 to the nearest integer?
126
What is 1189 to the power of 1/8, to the nearest integer?
2
What is 1893 to the power of 1/8, to the nearest integer?
3
What is the ninth root of 1260 to the nearest integer?
2
What is 10370 to the power of 1/3, to the nearest integer?
22
What is the sixth root of 15809 to the nearest integer?
5
What is the sixth root of 10599 to the nearest integer?
5
What is 25 to the power of 1/7, to the nearest integer?
2
What is the square root of 33479 to the nearest integer?
183
What is the cube root of 37434 to the nearest integer?
33
What is the square root of 1880 to the nearest integer?
43
What is the square root of 75164 to the nearest integer?
274
What is the square root of 321 to the nearest integer?
18
What is 40422 to the power of 1/3, to the nearest integer?
34
What is 383 to the power of 1/9, to the nearest integer?
2
What is the third root of 69537 to the nearest integer?
41
What is the fourth root of 12625 to the nearest integer?
11
What is the square root of 3227 to the nearest integer?
57
What is the fourth root of 13610 to the nearest integer?
11
What is 12528 to the power of 1/3, to the nearest integer?
23
What is 3497 to the power of 1/3, to the nearest integer?
15
What is 27941 to the power of 1/4, to the nearest integer?
13
What is 4251 to the power of 1/2, to the nearest integer?
65
What is the tenth root of 4358 to the nearest integer?
2
What is the fifth root of 1340 to the nearest integer?
4
What is 243 to the power of 1/6, to the nearest integer?
2
What is the third root of 13909 to the nearest integer?
24
What is the fourth root of 2792 to the nearest integer?
7
What is the fifth root of 863 to the nearest integer?
4
What is the square root of 19591 to the nearest integer?
140
What is 54804 to the power of 1/2, to the nearest integer?
234
What is the cube root of 11595 to the nearest integer?
23
What is 7146 to the power of 1/2, to the nearest integer?
85
What is 4859 to the power of 1/4, to the nearest integer?
8
What is 5279 to the power of 1/9, to the nearest integer?
3
What is 2983 to the power of 1/4, to the nearest integer?
7
What is the fourth root of 430 to the nearest integer?
5
What is the tenth root of 36050 to the nearest integer?
3
What is 22023 to the power of 1/5, to the nearest integer?
7
What is 9370 to the power of 1/9, to the nearest integer?
3
What is 1463 to the power of 1/2, to the nearest integer?
38
What is 1457 to the power of 1/2, to the nearest integer?
38
What is 3452 to the power of 1/7, to the nearest integer?
3
What is the cube root of 944 to the nearest integer?
10
What is 9895 to the power
|
{
"pile_set_name": "DM Mathematics"
}
|
q) = q**2 - 8*q - 10 + 3 - 2. Give w(a).
-9
Let q(r) = -r - 7. Let a be q(-21). Suppose 5*t = -a + 104. Suppose 7*p = -2*p + t. Let y(v) = -v**3 + v**2 + 2*v - 3. What is y(p)?
-3
Let r(m) = 15*m**2 - 759*m - 276. Let b(y) = 3*y**2 - 151*y - 55. Let n(q) = -11*b(q) + 2*r(q). Calculate n(48).
5
Let h be 3/(-6) - (-2)/4. Suppose h = 13*o + 63 + 15. Let q(g) = -g**2 - 6*g + 8. Give q(o).
8
Let f(z) be the first derivative of 5*z**2 - 114*z - 4504. Calculate f(12).
6
Let d(v) be the third derivative of 0 - 1/12*v**4 + 1/15*v**5 + 1/6*v**3 + 0*v - 40*v**2. Suppose 0 = 3*x + 9, 17 = -2*b - 5*x - 2. Calculate d(b).
21
Let l(a) = -a**3 + a**2 - a - 1. Let d be -16 + (10 - (-6 + 5)). Let u(z) = -4*z**3 + 5*z**2 - 5*z + 8. Let r = 1 - 0. Let f(i) = d*l(i) + r*u(i). What is f(0)?
13
Let q(z) = -22*z + 266. Let f = -35327 + 35339. What is q(f)?
2
Let g(f) = 2*f**3 + 31*f**2 + 21*f + 101. Let s be g(-15). Let d(y) = -y**3 + 19*y**2 - 90*y + 22. Give d(s).
0
Let s(u) = -11*u + 14. Let v = -162 - -166. Determine s(v).
-30
Let w(j) = -5*j + 2. Let y(n) = -39 - 8*n - 3*n + 4*n. Let k be y(-6). Determine w(k).
-13
Let a(w) be the third derivative of -w**6/120 + 4*w**5/15 - 29*w**4/24 - 2*w**3/3 - 2*w**2 + 76*w. Determine a(14).
-18
Let y(m) = m**3 - m**2 + 6*m - 2. Let v(i) = -2*i**3 + i + 7587*i**2 + 3*i**3 - 7585*i**2. Let u(q) = 2*v(q) - y(q). Let a be (-5 - 1)/(0 - -1). Give u(a).
-10
Let z(x) = 3 - 3 + 2 - 6 + x. Let u be z(6). Let v(d) = -7*d**2 + 3*d + 706 - 708 + 9*d**2. Determine v(u).
12
Let f(i) = 10 + 11 - 15*i + 2 + 19*i - 10. Calculate f(7).
41
Let o(t) = -312*t + 123*t + 177*t + t**3 + 20. Give o(-4).
4
Let u be 5982/11 - (-2)/11. Suppose -20*p + 12*p = -u. Let j(m) = -32*m**2 + p*m**2 - 37*m**2 + 19 - m + m**3. Give j(0).
19
Let g(n) = n - 7. Let b be 384/224 + (-4)/(-14). Let r(a) = a - 8. Let y(o) = b*r(o) - 3*g(o). Determine y(6).
-1
Suppose 0 = 4*d - 0 - 8. Let c(w) = -47*w**3 - 26*w**2 - w - 2. Let q(b) = -6*b**3 - 3*b**2. Let y(v) = -c(v) + 8*q(v). What is y(d)?
4
Let p(k) = -2*k - k**2 - 2 - 1 + 4. Let g = 43621 - 43628. Determine p(g).
-34
Let o(s) = s**3 + 27*s**2 + 49*s + 602. Let b be o(-26). Let g(v) = 2 - 6*v - 6 + 3 + v**2 + 6. Calculate g(b).
-3
Let k(h) = -33*h**3 + 79*h - 25*h - 10*h**2 - 30*h + 34*h**3 - 28*h + 107. Calculate k(8).
-53
Suppose 3*l + 2 = -5*x + 17, 0 = -2*x + 3*l + 6. Let n(t) = -83*t**2 - 13*t + 11. Let r(q) = 33*q**2 + 6*q - 5. Let z(h) = 2*n(h) + 5*r(h). Calculate z(x).
0
Let w(u) = -14*u - 273. Let s be w(-20). Let v(k) = -7*k + 22. Calculate v(s).
-27
Let x(r) = 5*r - 34. Let h(b) = -387*b + 2714. Let v be h(7). Give x(v).
-9
Suppose -l = -4*j - 13, -14*l = -5*j - 11*l - 11. Let r(k) = k**2 + 6*k + 11. Calculate r(j).
3
Let k(z) = 18*z + 8 - 17*z + 1. Suppose 0*r + 2*r = 0. Let o be (r*(-4)/16)/2. What is k(o)?
9
Let j(q) be the first derivative of 10*q**2 - 129*q + 3008. Calculate j(7).
11
Let f(r) = -57*r**3 - 54*r**2 + 74*r - 39. Let v(w) = 20*w**3 + 18*w**2 - 25*w + 14. Let b(d) = -6*f(d) - 17*v(d). Give b(-10).
-14
Suppose 0*z = 5*z + 40. Let t(a) = a**3 + 8*a**2 - 3*a - 2. Let u be t(z). Let j = u + -18. Let v(d) = -3*d + 4. Calculate v(j).
-8
Let v(q) = 22*q**3 - 3*q**2 + 4*q - 1. Let b(a) = -103*a**3 + 16*a**2 - 19*a + 6. Let h(g) = 3*b(g) + 14*v(g). Give h(5).
24
Let w(x) be the second derivative of -x**4/3 + x**3/3 + 7*x**2/2 - 605*x - 2. Give w(-5).
-103
Suppose 0 = 40*f + 96*f. Let s(n) be the third derivative of -2/3*n**3 + 1/60*n**5 + 0 + f*n + n**2 + 1/24*n**4. What is s(0)?
-4
Let s(v) be the first derivative of -v**6/120 + v**5/12 - v**4/4 - v**3/2 + 29*v**2/2 + 2*v - 32. Let l(z) be the second derivative of s(z). Give l(5).
-33
Suppose 0 = -3*h + 3*d - 36, 5*d = 2*h - 0*d + 39. Let s(g) = -7 - 189*g + 0 + 190*g. Give s(h).
-14
Suppose 3*p = r + 38, 3*p + r = p + 17. Let z(k) = 10*k + k**3 + p*k**2 - 2*k**2 - 3 + 7. Let q(a) = 6*a**2 - 76*a + 40. Let w be q(12). What is z(w)?
-12
Let j(a) = -2*a**2 + 2*a - 2. Let c = 77 + -41. Let h be (16/(-3) + 5)/((-2)/c). Let x be (h/(-10))/((-3)/15). Calculate j(x).
-14
Let t(s) be the third derivative of -s**4/24 - 3*s**3/2 - 76*s**2 + 10. Determine t(2).
-11
Let k be (-46)/(-4) - 2/4. Let h(n) = -5*n + 0*n - k + 10 + 3*n. Give h(-7).
13
Let n(i) = 3*i**2 + 9*i - 2. Let c be 9 + (3 - 17) + 1. Determine n(c).
10
Let q(h) = -h**2 + 12*h - 19. Suppose -v = 2, -2*n + 13*v - 15*v + 10 = 0. Give q(n).
16
Let m(d) = d**3 + 15*d**2 + 6*d + 91. Suppose 3*k + 5*j + 266 = 191, -4*j - 54 = 2*k. Calculate m(k).
1
Let c(g) = -57*g + 3. Let l(t) = 90*t + 52. Let f(h) = -2*c(h) - l(h). Determine f(7).
110
Suppose -4*z = 5*s - 25, 5*z + 4*s - 6*s - 23 = 0. Let w(q) be the second derivative of q**3/6 - 6*q**2 - 12594*q. Calculate w(z).
-7
Let d = -32 - -38. Let g = d - 4. Let f(v) = -1 + 4*v**2 + 3 + v - 2*v - 3*v**g. What is f(2)?
4
Suppose -t - 175 = t + a, -4*a + 190 = -2*t. Let i = t + 78. Let w(d) = 3*d + 8. Calculate w(i).
-25
Let b(v) = -v - 3. Let n be b(-9). Suppose n*r - 10*r + 5 = w, 0 = 3*r - 6. Let l(x) = x**2 + 3*x - 3. Give l(w).
-3
Let z(p) = 2*p**2 + 44*p - 78. Let v be z(-24). Let w be 6/14 - v/42. Let f(a) = a**3 + a**2 + 4. Determine f(w).
4
Let k(r) = 0*r + 144 - 11*r - 390 + 129 + 135. What is k(2)?
-4
Suppose -5*f - 9 = 3*a, a - 4*f = -26 + 6. Let i(o) = o**2 + 7*o - 2. Calculate i(a).
6
Let t = -38807 + 38824. Let q(k) = -k**3 + 18*k**2 - 25*k + 25. What is q(t)?
-111
Let o(t) be the second derivative of -t**3 + 1/20*t**5 + 7*t**2 - 1/4*t**4 - 1 + 57*t. Determine o(4).
6
Let v(u) = -u**2 + 0*u + 1 + 2*u + 1. Let l be 6/(-11) - 98/231*-6. Suppose -11 = -l*h + 3*d, 5*d = 4*h - 11 - 6. Calculate v(h).
-6
Let h(o) = -6*o - 19. Suppose 306 - 2391 = 454*v + 185. Determine h(v).
11
Let x(y) be the second derivative of -1/20*y**5 - 2/3*y**4 - 5/3*y**3 - 3*y + 11 - 2*y**2. What is x(-7)?
17
Let k(i) = -3*i - 5. Let u(b) = -4*b**3 - 10*b**2 + 8*b + 3. Let p(n) = -3*n**3 + 3*n - 3. Let y be p(1). Let a be u(y). Calculate k(a).
4
Let f(x) = -208*x + 62. Let c(m) = 333*m - 93. Let g(l) = -5*c(l) - 8*f(l). Give g(-21).
-10
Let c(r) = -4*r + 22. Let h(p) = -98*p - 12938. Let x be h(-132). What is c(x)?
30
Suppose 5511*j - 100 = 5501*j. Let h(l) = -l**2 + 10*l - 13. What is h(j)?
-13
Let i(c) = 22*c - 1055. Suppose 1248 = -2147*t + 2173*t. What is i(t)?
1
Let l(s) = s + 1. Let a(o) = -7*o - 7. Let k(r) = -a(r) - 6*l(r). Let c(g) = 3*g**2 + 15*g. Let t be c(-5). Suppose 4*p + t*p = -40. What is k(p)?
-9
Let y = -10 - -15. Suppose -2*o + 11 - y = 0. Let s(b) be the second derivative of -2*b**3/3 + 2*b**2 + 12757*b. Determine s(o).
-8
Let c(o) = -206062*o + 29 - 20 + 206054*o - 17. What is c(-7)?
48
Let d(w) = -w**2 - 10*w + 3. Let o = 3418 - 3430. Give d(o).
-21
Let s(w) = -w**3 + 13*w**2 + w - 9. Suppose 9*p - 74 - 43 = 0. Let f be s(p). Suppose -v = 4*v + f*b - 13, -5*b = 3*v. Let r(l) = 2*l. Calculate r(v).
10
Let l(s) be the first derivative of -2*s**2 + 8*s + 2. Let u(h) = -6*h + 12. Let r(a) = 8*l(a) - 5*u(a). Let t be (-2)/12 - (-629)/102. Calculate r(t).
-8
Let u(j) = -203*j**3 - 3*j**2 - 3*j - 2. Let s be u(-1). Let g(t) = 2*t**2 + 7 - 3*t**2 - 210*t + s*t. Give g(-10).
-3
Let q be 20/105*-1 + (-4920)/630. Suppose -28 = -5*k + 2*u, 2*u + 6 = -2. Let d(z) = 1 - 2 + z + k. Determine d(q).
-5
Let m(f) = -f**3 - 5*f**2 - f + 3. Let k be m(-5). Let v(c) = -35*c**2 + 3. Let s(i) = 12*i**2 + 64 - 21 - 26 - 18. Let g(x) = k*s(x) + 3*v(x). Determine g(1).
-8
Let z(q) = 19*q - 182. Let d be z(11). Suppose -18*m + 405 = d*m. Let n(o) = -o**2 + 5*o + 9. Determine n(m).
-27
Suppose -5*b + 7 = m, 59 - 45 = 2*m. Let j(c) be the third derivative of 5/24*c**4 - 22*c**2 + 0*c**3 + b + 0*c. Determine j(-1).
-5
Let l(h) = h**3 - 15*h**2 + 16*h - 8. Suppose 140 = 42*i - 32*i. Give l(i).
20
Let b(n) = -6 + 20 + n**3 + 44*n + 20*n - 69*n - 3*n**2 - n**2. What is b(6)?
56
Suppose -30 = 5*x, -1041*x + 402 = 7*w - 1045*x. Let c(d) = 8*d - 425. Give c(w).
7
Let i = 187 - 183. Let c(s) = -s**3 - 10*s**2 - 10*s - 1. Let a be c(-9). Let h(d) = d + 6*d - a*d. Determine h(i).
-4
Let o(h) = -7*h**2 - 8*h**2 + 42 - h**3 + 1150497*h - 1150462*h. Calculate o(-17).
25
Let s(l) = 6*l**2 + 7*l - 38. Let h(y) = -7*y**2 - 7*y + 42. Let v(o) = 5*h(o) + 6*s(o). Give v(-11).
26
Let u(o) = 25*
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 - 19*f**3 + 28874*f**2 + 192076221.
-156*f**3 - 57*f**2 + 57748*f
Find the third derivative of 823*m*t**4 - 184*m*t**3 - 22*m*t**2 - 22*m*t - t**4 + 2*t**3 - 114 wrt t.
19752*m*t - 1104*m - 24*t + 12
Find the second derivative of 3145*q**4 + 2198*q**3 - 21999*q + 204 wrt q.
37740*q**2 + 13188*q
What is the second derivative of 84997441*g**3 + 36695222*g?
509984646*g
What is the third derivative of -q**2*u**3 - 138025*q**2*u**2 - q**2*u + 2*q*u**2 - 103791169*u**5 - 26*u**2 + 2*u wrt u?
-6*q**2 - 6227470140*u**2
Find the third derivative of -7929*c**6 + 163*c**5*m + 13*c**2*m - 969*c - 28*m wrt c.
-951480*c**3 + 9780*c**2*m
Find the third derivative of 36161501*z**3 + 23415948*z**2.
216969006
What is the first derivative of -h*l**2 + 1963*h*l - 5524*h - 31*l**2 - l + 8809 wrt l?
-2*h*l + 1963*h - 62*l - 1
Find the third derivative of -3*f**6 + 1179*f**5 - 675*f**3 + 70457*f**2 - 713 wrt f.
-360*f**3 + 70740*f**2 - 4050
Differentiate -1137736*g - 18892181 wrt g.
-1137736
What is the derivative of 2*g**2 + 4621986*g + 34700221?
4*g + 4621986
What is the second derivative of 7*m**3 + 155332*m**2 - 8582650*m?
42*m + 310664
What is the derivative of 4553011*i**3*j*n**3 - 506365*i**3*n + n**3 wrt j?
4553011*i**3*n**3
What is the second derivative of 647385635*t**5 - 85165*t - 2145?
12947712700*t**3
What is the third derivative of 1120171047*t**4 - 1134473044*t**2?
26884105128*t
Find the first derivative of 35838922*p**4 + 43533661 wrt p.
143355688*p**3
What is the derivative of -3056214*d - 3366603 wrt d?
-3056214
What is the second derivative of 7298*l**5 + 763*l**4 + 2584932*l wrt l?
145960*l**3 + 9156*l**2
Find the second derivative of -1788811*c**3*h**2 + 151*c**3*h - 40*c**2 + 23*c*h**2 + 117*c*h wrt h.
-3577622*c**3 + 46*c
Find the second derivative of -9222835*h**2*z**3 + 3*h*z**3 - 2*z**3 - 2*z**2 - 1302 wrt h.
-18445670*z**3
What is the second derivative of -19347997*u**2 - 21393332*u wrt u?
-38695994
What is the first derivative of 5901*n**3 + 27*n + 32224991?
17703*n**2 + 27
What is the third derivative of 819*v**5 + 27154*v**3 + 211*v**2 + 68273*v?
49140*v**2 + 162924
Differentiate -3671169*w**4 - 18784519.
-14684676*w**3
What is the first derivative of -912*x**4 + 3892*x**2 + 50069426 wrt x?
-3648*x**3 + 7784*x
Find the second derivative of 19249233*z**2 + z + 3059324 wrt z.
38498466
What is the second derivative of -10018422*s**5 + s**2 - 138132558*s?
-200368440*s**3 + 2
What is the second derivative of -118261622*v**2 + 59330127*v wrt v?
-236523244
Find the first derivative of 2*a**3 - 6*a**2 + 125540*a - 2767498.
6*a**2 - 12*a + 125540
Differentiate 60950*h**2*r + 26965438*h**2 - 443*r wrt r.
60950*h**2 - 443
What is the second derivative of -38875*b**2*m**2 + 579*b**2 - 96*b*m**2 - 86*b*m - b - 3*m**2 - 55*m + 2 wrt b?
-77750*m**2 + 1158
Find the third derivative of 3739209*j**5 - 2*j**4 + j**3 - 21840090*j**2 wrt j.
224352540*j**2 - 48*j + 6
What is the second derivative of 200983019*v**2 - 59171475*v wrt v?
401966038
Find the first derivative of g**2*q - 178*g*q**2 - 110452*g*q + 74439169*q**2 - 2 wrt g.
2*g*q - 178*q**2 - 110452*q
Find the third derivative of -247449808*k**4 - 290103361*k**2.
-5938795392*k
What is the second derivative of 831410401*n**2 - 3*n - 73115770 wrt n?
1662820802
Find the second derivative of 111334*u**4 + 3*u**2 + 7624*u + 66 wrt u.
1336008*u**2 + 6
Differentiate 7753950*f**3*i - f**3 + 515186*i - 19 with respect to f.
23261850*f**2*i - 3*f**2
Find the second derivative of 20481*m**4*q + 1543*m**2*q**3 - 2954618*m*q + 4*q**3 wrt m.
245772*m**2*q + 3086*q**3
Find the second derivative of -655075737*g**2*p**2 + 35*g**2*p + 2*g**2 + 80*g*p + g - 291*p wrt p.
-1310151474*g**2
What is the second derivative of -1125*c**2*p**3 + c**2*p - c**2 - 8*c*p - 7250*p**3 + 12416*p + 4 wrt p?
-6750*c**2*p - 43500*p
Find the second derivative of -14548471*a**4 + 1017250*a - 9.
-174581652*a**2
Differentiate 33*t**4 - 27*t**3 - 3*t**2 - 109*t + 32275648.
132*t**3 - 81*t**2 - 6*t - 109
What is the second derivative of -894734*q**4 - 56*q**2 + 208*q + 325066 wrt q?
-10736808*q**2 - 112
Find the third derivative of 9009790*x**5 - x**2 + 1159*x + 171.
540587400*x**2
Find the second derivative of -30874006*t**2 - 1597207*t - 2.
-61748012
What is the third derivative of 5634*d**3*o - 1877*d**3 + 11*d**2*o - 14515*d**2 + 3*d*o - 10*d + 2*o - 1 wrt d?
33804*o - 11262
What is the second derivative of -26670*f*l**3 + 3*f*l**2 - 2*f*l + 40*f + 6*l**3 + 42025*l wrt l?
-160020*f*l + 6*f + 36*l
Differentiate 873345*l*w - 116*l - 77*w + 370126 wrt w.
873345*l - 77
Find the second derivative of 134236026*y**2 - 19*y - 158558 wrt y.
268472052
What is the third derivative of -227054*k*l**3 + 24831*k*l**2 + 2*k*l - 11*l**3 - l**2 + 9*l + 1 wrt l?
-1362324*k - 66
What is the first derivative of 11111*g**3 - 127*g*p**3 + 8562409*p**3 wrt g?
33333*g**2 - 127*p**3
Find the first derivative of -73298*a*n**2 - 159*a*t - 1779*n**2 - 2*n*t + 113*t wrt a.
-73298*n**2 - 159*t
Find the first derivative of 1768960*d**3 - 2917425 wrt d.
5306880*d**2
What is the second derivative of -1487*a**4 + 1961*a**3 - 2*a**2 + 5*a - 9786747?
-17844*a**2 + 11766*a - 4
What is the second derivative of 11056*b**4 - 105*b**3*c + b**2*c**3 + 21*b*c**2 + 2*b*c - 2*b + 37*c**3 - 940*c**2 - 3*c wrt b?
132672*b**2 - 630*b*c + 2*c**3
What is the second derivative of -62791043*l**2 - 7262*l - 146 wrt l?
-125582086
What is the derivative of -25552544*w*x - 19401289*w wrt x?
-25552544*w
What is the third derivative of -846463490*r**4 + 6*r**2 + 26391091 wrt r?
-20315123760*r
What is the second derivative of 364611*d**2*i**2 + 56*d**2 + 285541*d*i**2 - 234*d wrt d?
729222*i**2 + 112
What is the first derivative of -46992730*f - 61785108 wrt f?
-46992730
What is the first derivative of 15988589*h**2*j + 285337*h**2 wrt j?
15988589*h**2
What is the first derivative of 112595747*c - 29458617 wrt c?
112595747
What is the third derivative of -d**6 + 3782950*d**4*r**2 + 6434728*d**2*r**2 - 2 wrt d?
-120*d**3 + 90790800*d*r**2
Find the third derivative of 5547081*m**3 - 11136955*m**2.
33282486
Find the second derivative of -q**3*z**2 + q**3*z - q**3 + 131*q**2*z - 25*q**2 + 25684830*q*z**2 - 8*q wrt z.
-2*q**3 + 51369660*q
Find the first derivative of -89366*c**3 + 132*c**2 - 62286693.
-268098*c**2 + 264*c
What is the derivative of -51944566*j**4 - 12498140?
-207778264*j**3
Differentiate 1942910*d*m**3 + 3*d*m**2 - 177987231*d with respect to m.
5828730*d*m**2 + 6*d*m
What is the third derivative of 3019*c**3*y**2 - 2993*c**3*y - 7*c**3 - 13129*c**2*y**2 + 18*c**2*y - 72*c*y wrt c?
18114*y**2 - 17958*y - 42
What is the second derivative of 405311934*j**2 + 2828*j - 51693 wrt j?
810623868
Differentiate 12413049*g**2 - 5*g + 186471755 with respect to g.
24826098*g - 5
What is the third derivative of 173480698*i**4 - 186319713*i**2 wrt i?
4163536752*i
Differentiate -29636130*d**2 + 6309459.
-59272260*d
What is the first derivative of -6359939*p**4 - 1748370 wrt p?
-25439756*p**3
Find the second derivative of 996*r**5 + 7*r**3 - 62*r**2 - 248*r + 12227 wrt r.
19920*r**3 + 42*r - 124
What is the third derivative of 1606*w**6 + 5*w**4 - 330*w**3 - 13*w**2 - 495034?
192720*w**3 + 120*w - 1980
Find the first derivative of -267782544*a - 139931948.
-267782544
What is the first derivative of 947910501*g**2 - 132824369?
1895821002*g
What is the second derivative of 7183*w**5 - 8*w**4 + 140*w**2 + 21100606*w wrt w?
143660*w**3 - 96*w**2 + 280
What is the second derivative of -1290411179*c**3*r**2 + 923*c**3 - 4*c**2*r - 4*c*r - 2*c + 29*r wrt r?
-2580822358*c**3
What is the third derivative of -310*y**4 + 147557*y**3 + 265766332*y**2 wrt y?
-7440*y + 885342
What is the first derivative of -2*h**3 - 10486*h**2 - 20252458?
-6*h**2 - 20972*h
What is the second derivative of -89649777*o**2*u**2 - 2*o**2*u + 45*o**2 - 36263*o + u + 2 wrt u?
-179299554*o**2
Find the second derivative of 1600509*n**2*q**3 - 247*n**2 + 1846*n*q - q**3 - 2*q**2 wrt q.
9603054*n**2*q - 6*q - 4
Find the third derivative of 21*i*l*p**3 + 12630*i*p**3 + 61*i*p**2 - 6*i*p - 7*l*p**3 + 1784*l + 3*p**3 wrt p.
126*i*l + 75780*i - 42*l + 18
What is the second derivative of 43875921*i*y**2 + 3*i*y - 1446*i + 192*y wrt y?
87751
|
{
"pile_set_name": "DM Mathematics"
}
|
inator of 45/602 and -133/2838.
19866
Calculate the common denominator of 19/895560 and -11/2448.
5373360
Calculate the common denominator of -1/36 and -19/2959333.
106535988
What is the lowest common multiple of 79974269 and 1648954?
159948538
What is the common denominator of 13/539400 and 133/5520?
24812400
Find the common denominator of 71/256 and -93/4399120.
70385920
Calculate the least common multiple of 3185541 and 54864.
50968656
Calculate the common denominator of -56/1021401 and 17/86138151.
258414453
What is the lowest common multiple of 26735104 and 248?
828788224
What is the smallest common multiple of 5556 and 96?
44448
Calculate the common denominator of 1/1617330 and 71/173030.
195696930
Find the common denominator of 19/1822212 and -157/462.
20044332
Calculate the lowest common multiple of 585750 and 1049400.
372537000
What is the lowest common multiple of 14 and 4160219?
8320438
Find the common denominator of 65/1564 and -113/91448.
1554616
What is the common denominator of -13/23860 and 107/13986732?
69933660
Calculate the common denominator of 41/123728 and -117/63536.
2350832
What is the smallest common multiple of 800121 and 179619?
8801331
Find the common denominator of 53/32467015 and -23/19480209.
97401045
What is the smallest common multiple of 2309924 and 4619848?
4619848
Calculate the least common multiple of 29029 and 1580007.
11060049
Calculate the least common multiple of 177200450 and 2264.
708801800
What is the common denominator of 52/4204377 and -93/2128?
470890224
What is the common denominator of 77/5552 and -1/1188128?
1188128
Find the common denominator of 83/31310 and 43/56358.
281790
Find the common denominator of -59/104035 and 35/29.
3017015
What is the smallest common multiple of 1753712 and 12714412?
50857648
What is the smallest common multiple of 1980869 and 185?
9904345
What is the smallest common multiple of 15 and 254300945?
762902835
What is the smallest common multiple of 424094 and 289155?
6361410
Calculate the common denominator of 67/6327 and 49/589266.
21802842
Calculate the common denominator of 123/470 and -43/4367428.
21837140
What is the least common multiple of 10755 and 186885?
44665515
Calculate the smallest common multiple of 1898070 and 2657298.
13286490
Find the common denominator of -63/22 and 131/21789690.
239686590
What is the common denominator of 83/935064 and -199/7792200?
23376600
What is the common denominator of -55/2429664 and -47/432?
21866976
Find the common denominator of 5/37851058 and 58/77.
416361638
Calculate the least common multiple of 101398540 and 50699270.
101398540
Find the common denominator of -65/1398 and 17/290784.
290784
Find the common denominator of -47/28 and 57/10682728.
10682728
What is the lowest common multiple of 209000 and 12749000?
12749000
Calculate the least common multiple of 58726548 and 73408185.
293632740
Calculate the common denominator of 89/690 and 109/3455658.
17278290
Find the common denominator of -45/45523346 and 103/406274.
2685877414
Calculate the common denominator of -38/1616481 and -7/413775.
121236075
Calculate the common denominator of -47/1120878 and -79/2442.
1120878
What is the lowest common multiple of 8638 and 9118?
39380642
Calculate the smallest common multiple of 616120 and 2062.
635219720
Calculate the smallest common multiple of 7034220 and 48.
28136880
Calculate the common denominator of -109/28 and -111/10575292.
10575292
Calculate the smallest common multiple of 25 and 1121974.
28049350
Calculate the lowest common multiple of 30500340 and 45750510.
91501020
What is the lowest common multiple of 11940789 and 27?
107467101
Calculate the smallest common multiple of 1610234 and 820.
16102340
Find the common denominator of -31/27859234 and 21/16.
222873872
Calculate the smallest common multiple of 3489392 and 3053218.
24425744
What is the least common multiple of 36720 and 88672?
11970720
Calculate the least common multiple of 181293 and 189926.
3988446
Calculate the smallest common multiple of 285 and 346800.
6589200
What is the smallest common multiple of 3461418 and 4615224?
13845672
Calculate the least common multiple of 246897 and 42.
493794
Find the common denominator of -25/16890282 and -55/4374.
456037614
Calculate the smallest common multiple of 20286 and 205758.
1440306
What is the lowest common multiple of 35027412 and 11675804?
35027412
Calculate the least common multiple of 3885171 and 82883648.
248650944
What is the common denominator of -11/213538 and -27/48590?
120648970
Calculate the lowest common multiple of 591738 and 321.
63315966
What is the least common multiple of 6932233 and 121352?
55457864
Calculate the lowest common multiple of 49 and 4267340.
29871380
Calculate the common denominator of -143/36 and 43/1253976.
3761928
Calculate the least common multiple of 458950 and 225.
4130550
What is the common denominator of 47/12575472 and -113/4004?
138330192
What is the common denominator of 107/55350 and 99/1144720?
154537200
Calculate the common denominator of -55/7784 and -137/6216.
864024
What is the lowest common multiple of 13034 and 244587?
23969526
What is the common denominator of -43/15000825 and 41/7143250?
150008250
What is the common denominator of -4/1181079 and -34/131231?
1181079
Find the common denominator of 109/2710136 and 105/9064.
2710136
What is the common denominator of 25/12304 and -3/416798?
3334384
Calculate the least common multiple of 454987 and 158782.
179264878
Calculate the common denominator of 23/123299 and 82/116325.
1303886925
What is the common denominator of -17/3471039 and -32/8613?
3471039
Find the common denominator of -9/14 and -7/2399596.
16797172
Calculate the least common multiple of 3852 and 853788.
274065948
Find the common denominator of 14/1553021 and -7/66086.
3106042
What is the lowest common multiple of 473263 and 373592?
253668968
Calculate the common denominator of -119/13780 and 151/455520.
24142560
What is the lowest common multiple of 1989570 and 165?
1989570
What is the smallest common multiple of 94514 and 154746422?
1083224954
Calculate the common denominator of -95/414 and -67/308.
63756
Calculate the least common multiple of 637596 and 1335.
3187980
What is the common denominator of -87/8984128 and -67/916?
8984128
Find the common denominator of 69/1413152 and 11/234.
12718368
Calculate the common denominator of 167/10501050 and -29/21920.
168016800
What is the least common multiple of 14002128 and 7001064?
14002128
Calculate the common denominator of 79/4142 and 103/3725102.
406036118
What is the smallest common multiple of 185 and 1386405?
51296985
Calculate the common denominator of -73/7235616 and -37/609.
50649312
What is the common denominator of -59/1580 and 109/22560?
1782240
Calculate the lowest common multiple of 24048496 and 32.
48096992
Calculate the least common multiple of 189259464 and 558837.
567778392
Calculate the common denominator of -67/2122152 and 99/116.
61542408
What is the smallest common multiple of 4424 and 1784136?
12488952
What is the least common multiple of 2316818 and 85510?
196929530
Calculate the common denominator of 133/481860 and 89/481860.
481860
What is the smallest common multiple of 1925850 and 5550?
1925850
What is the lowest common multiple of 2153780 and 5?
2153780
What is the common denominator of 3/164 and 85/308296?
12640136
What is the common denominator of 31/1072 and -127/706392?
94656528
What is the lowest common multiple of 20164012 and 20?
100820060
Find the common denominator of 31/25195 and 37/4026161.
20130805
Find the common denominator of 43/19620 and 79/143730.
31333140
What is the lowest common multiple of 792894 and 60?
7928940
Find the common denominator of 77/400 and 33/21652760.
216527600
What is the common denominator of -41/695838 and -82/2435433?
4870866
What is the lowest common multiple of 47262 and 23820048?
23820048
Calculate the smallest common multiple of 15068160 and 5886.
15068160
What is the least common multiple of 4027032 and 252?
28189224
What is the least common multiple of 19796832 and 1980?
98984160
Find the common denominator of 34/99519 and -157/84336.
399668304
Calculate the least common multiple of 770840 and 26759160.
187314120
Calculate the le
|
{
"pile_set_name": "DM Mathematics"
}
|
/(b/(-20)). Sort 2/9, 0, q in decreasing order.
q, 2/9, 0
Suppose 4*c + 14 = -2. Sort c, 1, 2 in ascending order.
c, 1, 2
Let b = 4/11 - 5/44. Sort b, 0, 1/8 in ascending order.
0, 1/8, b
Let o = 0.04 + -6.04. Let j = -9 - o. Let n = j - 0. Put n, -2, -1 in ascending order.
n, -2, -1
Let x(j) = -14*j - 2. Let t(p) = -27*p - 4. Let y(g) = 6*t(g) - 11*x(g). Let f be y(2). Let c be (-21)/f - 1/3. Sort c, -5, 4 in decreasing order.
4, c, -5
Suppose 2*i + 2 = -2*p, 2*p - 28 = 6*i - 2*i. Let k(n) = n**2 - 10*n + 3. Let x be k(9). Let g = -9 - x. Sort i, 2, g in ascending order.
i, g, 2
Let a = -2.9 + 3. Let h be ((-37)/(-13) - 3)*1. Sort a, h, 3.
h, a, 3
Let y = 2.14 + -0.14. Sort 1, y, -3 in decreasing order.
y, 1, -3
Let i = 9 - 11. Let s = -11 - -6. Sort s, 1, i in decreasing order.
1, i, s
Suppose 18 = 2*x - x + 4*z, x - 5*z = -18. Suppose 0 = 4*h + 2 - 18. Sort x, h, 3 in increasing order.
x, 3, h
Let w = -14.8 + 2.8. Let q = -11 - w. Put q, 4, 5 in ascending order.
q, 4, 5
Let i be ((-151)/(-46))/((-1)/2). Let o = 2963/115 + i. Let h = -19 + o. Sort 4, -3, h in decreasing order.
4, h, -3
Let i be (-18)/(-40) - 2/10. Put -5, -6, i in descending order.
i, -5, -6
Let o be 9/(-15) + 74/(-10). Let i be -2 + 2 + (-2)/o. Suppose -5*y + 0 = -10. Sort -1, i, y in increasing order.
-1, i, y
Let t = 12 + -3. Let k = t - 13. Sort k, -5, 1.
-5, k, 1
Let r = 8 + -8.3. Let y = r + 1.3. Let a = -2 - y. Sort -1, a, -5 in ascending order.
-5, a, -1
Let w = 84 - 86. Sort w, 3, 4, -3.
-3, w, 3, 4
Let n = -2 - -1. Let o be (-5)/(-7) - (-3)/(-3). Suppose -2*h + 1 = 4*z - 7*h, 0 = -5*z - h + 23. Sort z, o, n in decreasing order.
z, o, n
Let n(b) = -b**3 - b**2 + 5. Let g be n(0). Put g, -5, -1 in decreasing order.
g, -1, -5
Let o = -2 - 5. Let l = o + 4. Let a = 1.9 + -1.5. Sort a, -0.2, l.
l, -0.2, a
Let c be ((-6)/180)/(2/(-5)). Sort 0.09, c, 1/6 in decreasing order.
1/6, 0.09, c
Let v = -7.08 - -0.08. Let k = -4 + 13. Let g = k + v. Sort 2/11, g, 4 in ascending order.
2/11, g, 4
Let v = -13/7 + 33/14. Let y be ((-30)/(-33) - -1) + -2. Put 0.05, y, v in descending order.
v, 0.05, y
Let x(q) = -q**2 + 7*q + 5. Let t be x(7). Let j(z) = 3*z**3 + z**2 - z + 1. Let h be j(1). Suppose -h*c - 10 = -2*c. Put -2, t, c in increasing order.
c, -2, t
Let g = -2.6 - 4.7. Let q = g - -7. Let x = 0.7 - q. Sort 5, x, -0.5 in decreasing order.
5, x, -0.5
Let i be (-2)/17 - 62/(-238). Put 2/7, -4, i, -0.1 in decreasing order.
2/7, i, -0.1, -4
Suppose -2*o = 3*n - 4, -2*o - o = -3*n + 24. Sort 3, -2/5, n.
-2/5, 3, n
Let w be 4/(-10) + (-4)/(-10). Let i(z) be the third derivative of z**5/60 + z**4/8 - 2*z**3 + z**2. Let b be i(-5). Sort 6, b, w in increasing order.
b, w, 6
Let p be (-6)/(-16) + 21/8 - -1. Sort p, -5, -8 in increasing order.
-8, -5, p
Let v = -17 - -16.89. Let p = 0.59 - v. Let c = p + -1. Sort c, -0.5, 0.5 in decreasing order.
0.5, c, -0.5
Let f be 38/(-30) + (-3)/(-5). Put 0.3, f, 4 in ascending order.
f, 0.3, 4
Let x = 133 - 137. Put 3, x, -2 in decreasing order.
3, -2, x
Let j(o) = o**3 + 19*o**2 + 15*o - 54. Let g be j(-18). Let b(v) = -v**3 + v**2 - v - 5. Let p be b(0). Sort -3, p, g in increasing order.
p, -3, g
Let s = 4 - 4.4. Let p = 2 - 1.8. Let m = -0.8 - p. Put m, s, 0.1 in ascending order.
m, s, 0.1
Let b = 0 - -1. Let k be 46/(-14) - (-12)/42. Let c be (1/k)/(35/21). Put c, 3/4, b in descending order.
b, 3/4, c
Let q = -0.02 - 0.38. Let x = 0.9 + -1. Let g = q - x. Sort -4, g, -3 in ascending order.
-4, -3, g
Let y = -11.6 + -1.4. Let d = -12.97 - y. Sort 1/4, d, 1/5 in descending order.
1/4, 1/5, d
Let z(o) = o**2 - 3*o + 3. Let i be z(2). Let w be (30/25)/(3/10). Suppose 2*k - k - w = 0. Sort 3, k, i in decreasing order.
k, 3, i
Let y = -6 + 8. Let u be ((-1)/(-9))/(3/(-9)). Sort y, 0.5, u.
u, 0.5, y
Suppose -s = -3*s - 8. Put -8, 0, s in descending order.
0, s, -8
Let s = -153 - -167. Put 2, -5, -3, s in increasing order.
-5, -3, 2, s
Let f be -1*((-58)/10 - -5). Sort f, 6, -4/7 in decreasing order.
6, f, -4/7
Suppose -12*v = 2*v + 70. Put v, -1, -4 in increasing order.
v, -4, -1
Let d(i) = -i**3 - 3*i**2 + 4*i - 4. Let c be d(-4). Sort -6, c, -5.
-6, -5, c
Let l = -8 - -5. Suppose 0 = -i + 6*i - 25. Let b be (-26)/(-42) - 4/14. Put b, l, i in descending order.
i, b, l
Let m be (-6 + 3)*(-4)/12. Suppose -12 = 4*b + 8. Sort b, -4, m in decreasing order.
m, -4, b
Let v(t) = 7*t**2 - t + 1. Let h be v(-2). Suppose -3*c - 52 = -5*z - 17, h = -3*c + 4*z. Sort -1, c, 0.3.
c, -1, 0.3
Let i = 29.98 - 30. Sort -0.3, i, 0 in descending order.
0, i, -0.3
Let l = -1 + 3. Let f be l/6*(14 - 2). Let x be 66/(-14) + 4/(-14). Sort x, f, -2 in decreasing order.
f, -2, x
Let b(a) = -a**2 - 3*a + 11. Let v be b(-5). Sort -0.1, 0.1, v in decreasing order.
v, 0.1, -0.1
Let h = -7 - 4. Sort 1, -3, h.
h, -3, 1
Suppose 59*t - 15 = 60*t. Sort 1, -2, t in increasing order.
t, -2, 1
Let u(i) = i**3 + 5*i**2 - 6*i + 4. Let t be u(-6). Suppose 7*d + 7 = -0*d. Put d, 2, t in increasing order.
d, 2, t
Suppose 3*p = -0*p. Let x = 5 + -2. Sort p, 2, x in decreasing order.
x, 2, p
Let d be 29/(-14)*-6 + 12/(-28). Sort 2, d, -1, 4 in descending order.
d, 4, 2, -1
Let i be -1 - -1*1*1/1. Put 5, i, 2 in descending order.
5, 2, i
Let i be ((-7)/(7/6))/((-9)/(-6)). Sort 5, i, -1, 4.
i, -1, 4, 5
Let g = 46 - 82. Let h be ((g/(-2))/3)/(-1). Let d be h/21 - (-3)/21. Sort d, -3, 0.1 in decreasing order.
0.1, d, -3
Let z = 16.6 - 17. Put 1, 0.2, z in decreasing order.
1, 0.2, z
Let d(k) = k**3 - 6*k**2 - k - 6. Let m be d(6). Let t be (-60)/14 - m/42. Sort -3, 3, t in increasing order.
t, -3, 3
Suppose -24 = -m + 3*l - 9, -4*m - 8 = 5*l. Suppose 2*c = m*a + 12, 4*c - 3*c - 5*a = 20. Let n = -5 + 1. Sort n, c, 4 in decreasing order.
4, c, n
Let r be 1/((-2)/(8/(-5))). Let s = -8 - -4. Let i be 8/(-54)*(-15)/10. Put r, i, s in decreasing order.
r, i, s
Suppose -c + 1 = -2*c. Sort 6/5, c, 0 in increasing order.
c, 0, 6/5
Let p be 1/5 + 3/(-5). Let w = 3 + 2. Suppose -3*z - w = -2. Put z, 1/3, p in descending order.
1/3, p, z
Suppose 5*o - 17 = u, -u - 1 = -4. Suppose -d - 3*d = 16. Put d, o, -7 in ascending order.
-7, d, o
Let h = 7 + -3. Let g = 11 + -21. Let u = g - -9.5. Put -3, h, u in ascending order.
-3, u, h
Let w be (-2)/(-5) - (-56)/10. Let l(p) = -p**2 + 8*p - 9. Let b be l(w). Suppose o + 8 = -3*o - 4*h, -2*o = -b*h - 1. Put o, 4, -4 in increasing order.
-4, o, 4
Suppose -7 = 4*a - p, -3*a + 3*p = -4*a - 5. Let s be a + (-2 - (-18)/3). Put 3, -4, s in ascending order.
-4, s, 3
Let j be (-28)/6 + (-2)/6. Let w(g) = g**3 + 5*g**2 - 6*g + 3. Let y be w(-6). Put j, 0, y in decreasing order.
y, 0, j
Let w = -2.9 + -10.1. Let c = w + 10. Put -0.3, c, 5 in descending order.
5, -0.3, c
Suppose 17 = -4*p + 5*o - 19, -p = -5*o + 24. Let d = -6 - p. Sort -1, d, 5 in ascending order.
d, -1, 5
Let d = -12 - -6. Let o = -0.2 + -0.8. Let b = d - o. Sort b, 0.3, -1/2 in decreasing order.
0.3, -1/2, b
Suppose 0 = -3*n + 10 - 1, 2*t - n = 5. Sort 1, t, 5 in increasing order.
1, t, 5
Let k = 0 + 3. Suppose -5*h = k - 28. Suppose 2*z - h*x - 4 = 4*z, 5*z + x - 13 = 0. Put -5, z, 5 in decreasing order.
5, z, -5
Let d(m) = -3*m. Let p be d(1). Put -6, 3, p in descending order.
3, p, -6
Suppose 5*c - 4 = 3*o, 15 + 5 = 5*c + 5*o. Let g(p) = -3 + p + 4*p**c - p**3 - 2 + 3. Let q be g(4). Sort q, -4, -1 in ascending order.
-4, -1, q
Let c = 2/635 + 1897/2540. Put 0.1, c, 0.4 in increasing order.
0.1, 0.4, c
Let g(b) = b. Let h be g(4). Let u = h - 2. Put u, -2, 5 in increasing order.
-2, u, 5
Let p(h) = 7*h - 20. Let u(j) = 4*j - 10. Let l(w) = -3*p(w) + 5*u(w). Let v be l(9). Sort v, -1, 2 in increasing order.
-1, v, 2
Let l be (-2 + 10 + -3)*1. Put -4, -11, l in ascending order.
-11, -4, l
Let i = -14/345 - -4/23. Sort -5, i, -2, -1 in ascending order.
-5, -2, -1, i
Let s = -5 - 4. Let b = s + 4. Suppose j + j = 0. Sort 5, b, j in decreasing order.
5, j, b
Let h(d) = -d - 1. Let w be h(4). Let y(b) = b**2 + 7*b + 7. Let z be y(w). Sort 0, 1, z in ascending order.
z, 0, 1
Let r = 57.4 + -57. Put 0.5, 6, r in decreasing order.
6, 0.5, r
Let v = 6.6 - 7. Put v, 0.4, 7 in decreasing order.
7, 0.4, v
Let y = -3 - -4. Let i = 0.454 + -0.054. Put i, y, -1 in descending order.
y, i, -1
Let f(t) = t**3 - t**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
17616.
-1
11734744 divided by -2933686
-4
-34516568 divided by -4
8629142
-21116445 divided by -1
21116445
Calculate -296361461 divided by -43.
6892127
What is 232 divided by 1841355?
8/63495
Divide -15 by -5544997.
15/5544997
What is -6342472 divided by -4?
1585618
Divide -9632574 by -1.
9632574
790888 divided by -28
-28246
Calculate 893000 divided by -1000.
-893
8608590 divided by -18
-478255
Calculate -1270314800 divided by -254062960.
5
Calculate -50680354 divided by 4.
-25340177/2
Divide -892736 by -13949.
64
Calculate -291 divided by 1205629.
-291/1205629
Divide 14 by -295229.
-14/295229
Calculate -23 divided by 515669.
-23/515669
Calculate 4020912 divided by -7978.
-504
Calculate 1153384986 divided by -6.
-192230831
Divide -10398 by 17506.
-5199/8753
Divide 1883 by -63748.
-1883/63748
179597622 divided by -636871
-282
What is 10918040 divided by -272951?
-40
Divide 10483376 by -10483376.
-1
-29981718 divided by 78
-384381
What is 1441758 divided by 3?
480586
-3877440 divided by 484680
-8
2139 divided by -5399
-2139/5399
-16477890 divided by 66
-249665
Calculate -113 divided by -1477198.
113/1477198
Divide 3118350 by -6.
-519725
Calculate 4 divided by 18474906.
2/9237453
Calculate 55825992 divided by -4.
-13956498
Divide 282234894 by -2.
-141117447
What is 5 divided by -57128372?
-5/57128372
-7495904 divided by -8
936988
14340506 divided by -7170253
-2
Calculate 3966 divided by -5724.
-661/954
Calculate -8827326 divided by -326938.
27
Calculate -5 divided by 55413853.
-5/55413853
Calculate 283762743 divided by 3.
94587581
Calculate 3362439 divided by -406.
-3362439/406
-34217436 divided by -6
5702906
What is 2951 divided by -58867?
-2951/58867
What is -2166462 divided by 722154?
-3
What is 0 divided by -1289921?
0
What is -102 divided by 82029?
-34/27343
-5456240 divided by -482
11320
What is -19216704 divided by 19216704?
-1
What is -22107973 divided by -7157?
3089
Divide -913605 by -791.
1155
-52958064 divided by -26479032
2
-4589210 divided by 458921
-10
Calculate -471533287 divided by 5.
-471533287/5
Divide -16072344 by 39393.
-408
Calculate -51544457 divided by 58111.
-887
What is 311507175 divided by 305?
1021335
335 divided by -61798
-335/61798
Divide 4 by -41008811.
-4/41008811
What is 33273744 divided by 297087?
112
-4365232 divided by -1
4365232
932813 divided by -101
-932813/101
What is -1113 divided by -334840?
1113/334840
What is -736620 divided by 18?
-122770/3
-219113500 divided by 18475
-11860
19474970 divided by -5
-3894994
Divide -12731755 by -5.
2546351
Divide 1 by 24035609.
1/24035609
Divide -68159700 by 6980.
-9765
Divide -12255423 by -2.
12255423/2
21278652 divided by 5319663
4
Divide 824314 by -159.
-824314/159
Calculate 4662675 divided by 62169.
75
Divide -9 by 1589213.
-9/1589213
30611310 divided by -3
-10203770
3737 divided by -891
-3737/891
Calculate -32785718 divided by 23.
-1425466
Divide 95545190 by -24914.
-3835
What is -38 divided by -4890030?
1/128685
Divide 1312236 by 18.
72902
Calculate 22779771 divided by -78281.
-291
-37226 divided by -8049
37226/8049
Calculate 20 divided by -1422813.
-20/1422813
Divide 0 by -26277578.
0
Divide -173774696 by -8.
21721837
Divide -9598199 by 32101.
-299
Calculate 5 divided by -29510410.
-1/5902082
Divide 3279550 by -6130.
-535
Divide 1 by 176866.
1/176866
-1970020 divided by -10
197002
Calculate -541207736 divided by 5176.
-104561
What is 1103 divided by 20041?
1103/20041
What is 4408 divided by 1649?
4408/1649
-165 divided by 1344110
-33/268822
Divide 220226 by -454.
-110113/227
What is 74960492 divided by 4?
18740123
Divide 5181242 by -11.
-471022
What is 11207150 divided by 1255?
8930
8485155 divided by 369
22995
Divide 32003223 by -24983.
-1281
What is -197583574 divided by 197583574?
-1
What is 1598415 divided by 9?
532805/3
15901840 divided by 20
795092
Calculate 22397916 divided by 6.
3732986
Divide -7097302 by 99962.
-71
What is 186972432 divided by -62324144?
-3
-3404772 divided by 9
-378308
Divide -78 by 293222.
-39/146611
Divide -5526 by 26630.
-2763/13315
Calculate 5815645 divided by 141845.
41
-93593000 divided by -374372
250
Calculate -9040584 divided by 7.
-1291512
Calculate 2761965 divided by -2495.
-1107
Divide -250067265 by -35.
7144779
-19 divided by -672753
19/672753
What is 13731 divided by -383?
-13731/383
Divide 11403845 by 6.
11403845/6
81436615 divided by 1252871
65
Calculate -241 divided by -4084677.
241/4084677
Calculate 802299225 divided by -85215.
-9415
Divide -51702692 by 166.
-311462
Calculate -1212982512 divided by 21660402.
-56
-20773 divided by -31
20773/31
Divide -2543527 by -7.
363361
Divide 34539339 by -347.
-99537
-5020680 divided by -125517
40
Calculate 11 divided by -380859.
-11/380859
Calculate 92825680 divided by -18565136.
-5
What is -2 divided by -8525756?
1/4262878
Calculate 7777041 divided by -23783.
-327
-4839011 divided by 16
-4839011/16
Calculate -43 divided by 22172.
-43/22172
Divide -163349295 by 54449765.
-3
Calculate -309892 divided by 7043.
-44
Divide -1253 by 1325.
-1253/1325
Divide -4432804 by -2216402.
2
Divide 47439480 by 88.
539085
273328320 divided by -5520
-49516
56885440 divided by -54280
-1048
What is -217 divided by 174594?
-31/24942
-22950720 divided by -147120
156
What is 2 divided by 1588386?
1/794193
4657324 divided by 49546
94
What is 1896 divided by -112632?
-79/4693
Divide 404315676 by -33692973.
-12
What is 6 divided by -14595639?
-2/4865213
What is 1113303580 divided by 2?
556651790
Calculate 212 divided by 3463.
212/3463
What is 9838 divided by -702?
-4919/351
-2842512 divided by 24
-118438
247003986 divided by -123501993
-2
-1411352 divided by 19
-1411352/19
Divide 2079220 by 189020.
11
0 divided by 70736701
0
-724053042 divided by 606
-1194807
Divide 14329 by 7709.
14329/7709
Divide -21 by 476367.
-7/158789
-10112801 divided by -8
10112801/8
Calculate 145087 divided by 10.
145087/10
-14396655 divided by -1
14396655
What is -124909 divided by -930?
124909/930
-2 divided by -1316528
1/658264
What is 0 divided by 1393692?
0
What is 469 divided by 163330?
469/163330
Divide -141076022 by -2.
70538011
Calculate 33705315 divided by -11235105.
-3
What is 521534624 divided by 65191828?
8
Divide 1574 by -474170.
-787/237085
-35863 divided by -3613
35863/3613
Divide -12081718 by -8.
6040859/4
Calculate -3822176 divided by 15.
-3822176/15
Divide -36510 by 37.
-36510/37
Calculate -5 divided by -8531311.
5/8531311
What is -10616804 divided by 4?
-2654201
Calculate -11602469 divided by 18.
-11602469/18
What is -25072883 divided by -2?
25072883/2
-6100494 divided by -4
3050247/2
Divide -67197565 by -33415.
2011
What is -3578026992 divided by 6?
-596337832
Divide 6231571 by -4.
-6231571/4
What is 945 divided by -67997?
-945/67997
Calculate 260078716 divided by 1054.
246754
What is -249475279 divided by 5?
-249475279/5
What is -768750542 divided by 14?
-54910753
Calculate 19360824 divided by 6.
3226804
Calculate 13476519 divided by -275031.
-49
Divide 49890995 by 35.
1425457
Calculate -234829270 divided by -1.
234829270
Calculate 1819384 divided by 1819384.
1
What is 239538 divided by -55?
-239538/55
Calculate -53032 divided by -3656.
6629/457
What is -1 divided by -66545489?
1/66545489
Divide -257841551 by 6.
-257841551/6
Divide 986334804 by -2.
-493167402
Divide -32428704 by -32.
1013397
1254216528 divided by -4
-313554132
-671 divided by 82019
-671/82019
988677214 divided by -1918
-515473
Calculate 3984063804 divided by -6.
-664010634
200974629 divided by -2
-200974629/2
Calculate 25591764 divided by 4.
6397941
Calculate -47128224 divided by -13732.
3432
Divide -487689 by 3.
-162563
Calculate -1148522380 divided by 287130595.
-4
What is -18223 divided by -499?
18223/499
Divide -244304700 by 8143490.
-30
Divide 73 by -151597.
-73/151597
What is 31291520 divided by 97786?
320
Divide 83804292 by -52182.
-1606
335215400 divided by -20795
-16120
-24956616 divided by -7481
3336
Divide -286786 by -1.
286786
What is -114801580 divided by -22960316?
5
Divide -12245750 by -122.
100375
What is 3996 divided by 768?
333/64
What is -15424 divided by -452?
3856/113
Divide 2047032 by -702.
-2916
Divide 2861623 by -5.
-2861623/5
-139750 divided by -25
5590
Divide 6152952 by 338.
18204
What is 772807 divided by 61?
772807/
|
{
"pile_set_name": "DM Mathematics"
}
|
s prob of picking 3 m when three letters picked without replacement from mimmmmmim?
5/12
What is prob of picking 1 h, 1 a, and 1 y when three letters picked without replacement from hyayi?
1/5
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from tttptddd.
3/28
Calculate prob of picking 1 j and 3 b when four letters picked without replacement from {j: 2, v: 7, b: 5, w: 4}.
1/153
What is prob of picking 4 z when four letters picked without replacement from {c: 4, z: 4, w: 8}?
1/1820
Two letters picked without replacement from {u: 7, a: 1}. Give prob of picking 2 u.
3/4
Two letters picked without replacement from {s: 4, a: 1, f: 4, t: 6, h: 2, z: 2}. What is prob of picking 2 s?
2/57
Calculate prob of picking 1 k and 1 w when two letters picked without replacement from rwrwrwrwkrwkr.
5/39
Two letters picked without replacement from {h: 4, i: 1, c: 1, p: 7, w: 2}. Give prob of picking 1 w and 1 i.
2/105
What is prob of picking 1 v, 1 b, and 1 y when three letters picked without replacement from zvbvbzbbvvvyv?
12/143
Calculate prob of picking 1 i and 2 f when three letters picked without replacement from igifxfgfffffgxxfx.
7/85
Two letters picked without replacement from {c: 1, d: 11, a: 5}. Give prob of picking 2 a.
5/68
What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 3, l: 5, g: 4}?
9/110
What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 1, b: 1, a: 1}?
1/3
Three letters picked without replacement from {j: 4, r: 4, u: 4, n: 3, x: 4}. What is prob of picking 1 n and 2 r?
6/323
Calculate prob of picking 3 a when three letters picked without replacement from {k: 9, a: 10}.
40/323
Three letters picked without replacement from shhhhshhhhhhh. What is prob of picking 1 h and 2 s?
1/26
Four letters picked without replacement from {m: 2, n: 4}. Give prob of picking 2 m and 2 n.
2/5
Calculate prob of picking 2 j when two letters picked without replacement from {j: 18, k: 1}.
17/19
Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, t: 7, q: 6}.
1/105
Three letters picked without replacement from dfdfdddf. What is prob of picking 3 f?
1/56
Three letters picked without replacement from {j: 2, x: 10}. What is prob of picking 1 j and 2 x?
9/22
Calculate prob of picking 2 n when two letters picked without replacement from naznaaanaanz.
1/11
Two letters picked without replacement from dwcudibuiuibd. What is prob of picking 1 i and 1 c?
1/26
Two letters picked without replacement from {q: 7, h: 5, w: 2}. What is prob of picking 1 q and 1 h?
5/13
Three letters picked without replacement from {m: 10, b: 2, j: 5, f: 2, r: 1}. Give prob of picking 1 j and 2 m.
15/76
What is prob of picking 1 l and 1 c when two letters picked without replacement from laxagccg?
1/14
What is prob of picking 1 o, 1 l, and 1 v when three letters picked without replacement from {v: 10, l: 3, o: 4, e: 2}?
40/323
What is prob of picking 2 o when two letters picked without replacement from {z: 4, h: 1, m: 1, o: 9, s: 5}?
18/95
What is prob of picking 2 y and 1 m when three letters picked without replacement from {y: 5, m: 9}?
45/182
Three letters picked without replacement from {m: 2, n: 1, j: 4}. What is prob of picking 1 n, 1 m, and 1 j?
8/35
What is prob of picking 1 o and 1 m when two letters picked without replacement from wymowmmmm?
5/36
Two letters picked without replacement from ykyznsvynvsvzy. Give prob of picking 1 k and 1 v.
3/91
Calculate prob of picking 1 b, 1 p, 1 u, and 1 l when four letters picked without replacement from {u: 2, b: 4, y: 7, p: 1, l: 6}.
16/1615
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {m: 1, c: 2, f: 2}.
2/5
Four letters picked without replacement from bjjjjojwopjzoow. Give prob of picking 4 j.
1/91
What is prob of picking 1 g and 1 m when two letters picked without replacement from gmd?
1/3
Two letters picked without replacement from qtjjdjttttxtj. Give prob of picking 1 j and 1 q.
2/39
Three letters picked without replacement from nrrrnr. What is prob of picking 2 r and 1 n?
3/5
Calculate prob of picking 3 z when three letters picked without replacement from {j: 1, a: 1, z: 3}.
1/10
What is prob of picking 1 j and 3 x when four letters picked without replacement from {e: 4, x: 1, j: 2, q: 4}?
0
Calculate prob of picking 2 a when two letters picked without replacement from {r: 13, a: 2, o: 5}.
1/190
Two letters picked without replacement from {o: 7, h: 2, v: 2}. What is prob of picking 1 h and 1 o?
14/55
What is prob of picking 1 m and 1 a when two letters picked without replacement from jawjmjjjjwwwj?
1/78
Three letters picked without replacement from {u: 3, z: 15}. What is prob of picking 1 u and 2 z?
105/272
What is prob of picking 1 l and 1 d when two letters picked without replacement from {l: 2, k: 1, r: 2, d: 2, i: 2, f: 5}?
4/91
Four letters picked without replacement from {d: 13, f: 3}. What is prob of picking 3 d and 1 f?
33/70
Two letters picked without replacement from qrrqwqfwqfqrrqqq. What is prob of picking 1 q and 1 w?
2/15
Two letters picked without replacement from {u: 4, z: 2, s: 2, n: 1, a: 1, v: 5}. Give prob of picking 1 n and 1 a.
1/105
Two letters picked without replacement from {c: 1, b: 10, w: 2, l: 3}. What is prob of picking 1 c and 1 l?
1/40
Calculate prob of picking 2 p when two letters picked without replacement from {g: 1, p: 3}.
1/2
Calculate prob of picking 2 t and 2 n when four letters picked without replacement from {d: 3, j: 4, w: 1, n: 6, t: 3, a: 1}.
1/68
What is prob of picking 1 q and 2 y when three letters picked without replacement from ykprqerypyep?
3/220
Three letters picked without replacement from {b: 5, s: 9, n: 3, w: 1}. Give prob of picking 1 b, 1 s, and 1 w.
15/272
Three letters picked without replacement from {m: 1, w: 4, q: 11, u: 1, a: 2}. What is prob of picking 1 a and 2 w?
4/323
What is prob of picking 1 c and 1 b when two letters picked without replacement from ccsbcxcssx?
4/45
What is prob of picking 3 o and 1 z when four letters picked without replacement from {j: 6, f: 1, z: 4, o: 5}?
2/91
Four letters picked without replacement from xfxfbz. Give prob of picking 1 b, 1 z, and 2 f.
1/15
Four letters picked without replacement from {r: 3, i: 4}. Give prob of picking 3 r and 1 i.
4/35
What is prob of picking 2 a when two letters picked without replacement from aak?
1/3
Calculate prob of picking 2 f and 1 j when three letters picked without replacement from bjffbffjjjjbj.
18/143
Two letters picked without replacement from lupeeewuweewepoewpel. Give prob of picking 2 e.
14/95
Two letters picked without replacement from {a: 3, o: 4, b: 5, q: 1}. What is prob of picking 2 b?
5/39
What is prob of picking 2 v when two letters picked without replacement from {v: 2, w: 5}?
1/21
Two letters picked without replacement from rhqhqhhxhhhhhhhrhhoh. Give prob of picking 1 o and 1 r.
1/95
Two letters picked without replacement from kknknknknnnnknnnnnn. Give prob of picking 2 k.
5/57
Four letters picked without replacement from iqiqqiiiqqqiuqiqqiq. What is prob of picking 4 i?
35/1938
Calculate prob of picking 2 f, 1 z, and 1 r when four letters picked without replacement from {f: 5, z: 2, r: 2}.
20/63
Calculate prob of picking 2 u and 1 a when three letters picked without replacement from {a: 2, r: 2, y: 1, o: 5, u: 4}.
3/91
Three letters picked without replacement from {c: 1, q: 1, p: 7, a: 6}. Give prob of picking 2 a and 1 c.
3/91
Three letters picked without replacement from {t: 1, l: 9, w: 1, g: 8, i: 1}. What is prob of picking 2 g and 1 i?
7/285
Calculate prob of picking 1 w, 2 h, and 1 d when four letters picked without replacement from iwihhhddhwiiwhw.
16/273
Two letters picked without replacement from nnrnrrnnrnrrnr. What is prob of picking 2 n?
3/13
Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.
1
Four letters picked without replacement from {k: 6, i: 6, v: 2, q: 1, e: 2}. Give prob of picking 1 q, 1 v, and 2 k.
3/238
Two letters picked without replacement from {q: 2, s: 3, u: 1, o: 10, x: 1}. What is prob of picking 2 q?
1/136
Three letters picked without replacement from eeeaa
|
{
"pile_set_name": "DM Mathematics"
}
|
ve prob of sequence eeem.
1/7
Calculate prob of sequence bjb when three letters picked without replacement from njbvv.
0
What is prob of sequence vipi when four letters picked without replacement from izvpvppivv?
1/210
Three letters picked without replacement from {q: 1, b: 1, k: 2, g: 4, x: 3}. Give prob of sequence xxx.
1/165
What is prob of sequence zu when two letters picked without replacement from gbaaugvzz?
1/36
What is prob of sequence zxx when three letters picked without replacement from rzrszzxrzrjrzrzjxjzr?
7/3420
Two letters picked without replacement from {l: 2, o: 4, a: 4}. Give prob of sequence ol.
4/45
What is prob of sequence ivv when three letters picked without replacement from {i: 15, v: 4}?
10/323
What is prob of sequence hm when two letters picked without replacement from hmmhmhmmhmmmhm?
45/182
Three letters picked without replacement from {q: 2, k: 2, o: 1, j: 6, d: 5}. What is prob of sequence dkj?
1/56
Calculate prob of sequence nee when three letters picked without replacement from {n: 2, e: 4}.
1/5
Two letters picked without replacement from {a: 7, o: 1, y: 2, l: 4}. Give prob of sequence yo.
1/91
What is prob of sequence rj when two letters picked without replacement from {j: 1, n: 1, r: 1, v: 4, l: 1}?
1/56
Calculate prob of sequence mxx when three letters picked without replacement from {x: 5, m: 15}.
5/114
What is prob of sequence cccw when four letters picked without replacement from wcwqqcqcqq?
1/420
Calculate prob of sequence kkk when three letters picked without replacement from kkkkuuukkkkk.
21/55
Three letters picked without replacement from {m: 5, f: 4, y: 2}. Give prob of sequence fff.
4/165
Two letters picked without replacement from obdlc. What is prob of sequence lo?
1/20
Three letters picked without replacement from tzzzzzzzzcttzttzttzz. What is prob of sequence zzz?
11/57
What is prob of sequence rrrj when four letters picked without replacement from {j: 3, r: 12}?
11/91
Four letters picked without replacement from wwmwmwmwmwumwmwuw. What is prob of sequence mwum?
9/952
Three letters picked without replacement from kkklkl. What is prob of sequence kll?
1/15
What is prob of sequence bab when three letters picked without replacement from babb?
1/4
Two letters picked without replacement from {u: 1, k: 2}. Give prob of sequence uk.
1/3
Calculate prob of sequence wdw when three letters picked without replacement from ddwrrwrrr.
1/126
Three letters picked without replacement from {o: 6, q: 3, f: 1, t: 1, x: 5, i: 4}. What is prob of sequence qoo?
1/76
Calculate prob of sequence lv when two letters picked without replacement from jlgvojgvlvjj.
1/22
Four letters picked without replacement from jjjjjyyjjyyjjyyjjjj. Give prob of sequence jjjy.
143/1292
Calculate prob of sequence rb when two letters picked without replacement from bdugcgbcgcrgrcdcdc.
2/153
What is prob of sequence vao when three letters picked without replacement from {v: 3, a: 1, o: 5}?
5/168
Calculate prob of sequence adk when three letters picked without replacement from {w: 1, d: 2, k: 1, c: 2, a: 2}.
1/84
Four letters picked without replacement from {e: 1, y: 1, w: 1, u: 4, g: 2}. What is prob of sequence wyge?
1/1512
Three letters picked without replacement from sztvvrrvvsstvrw. Give prob of sequence zrs.
3/910
Two letters picked without replacement from mmkfmfmmmmmmmk. What is prob of sequence mf?
10/91
Three letters picked without replacement from {h: 5, o: 3}. What is prob of sequence oho?
5/56
What is prob of sequence hcc when three letters picked without replacement from eeeheucccuueu?
1/286
Two letters picked without replacement from {j: 12, p: 3}. Give prob of sequence jj.
22/35
Two letters picked without replacement from brdlbbodprrb. Give prob of sequence do.
1/66
What is prob of sequence qcwg when four letters picked without replacement from {g: 2, q: 3, w: 9, c: 3, b: 1}?
3/1360
Calculate prob of sequence vj when two letters picked without replacement from mjjmjvjo.
1/14
What is prob of sequence nyy when three letters picked without replacement from ynyyyuuuuu?
1/60
Three letters picked without replacement from hxfhxhhfx. What is prob of sequence xhh?
1/14
Calculate prob of sequence zhh when three letters picked without replacement from hzmzhkzfhzkkzt.
5/364
Four letters picked without replacement from keyyqeeyeyjjjkeyy. What is prob of sequence eqkj?
1/1904
Calculate prob of sequence oao when three letters picked without replacement from xookxoxkda.
1/120
Two letters picked without replacement from {b: 1, p: 2, v: 1}. Give prob of sequence bp.
1/6
Calculate prob of sequence mdo when three letters picked without replacement from {d: 4, m: 6, e: 2, o: 3, p: 2}.
3/170
What is prob of sequence wc when two letters picked without replacement from wwch?
1/6
Calculate prob of sequence vb when two letters picked without replacement from {d: 2, b: 1, v: 1, w: 1, n: 2}.
1/42
Two letters picked without replacement from vfmmv. Give prob of sequence fm.
1/10
What is prob of sequence ddy when three letters picked without replacement from mqddryrb?
1/168
What is prob of sequence oh when two letters picked without replacement from sooahrhhh?
1/9
Four letters picked without replacement from bbbbbbbbxbbbbxxbxbb. What is prob of sequence xxxx?
1/3876
Two letters picked without replacement from aaydl. Give prob of sequence da.
1/10
Two letters picked without replacement from ahkohghgkvg. Give prob of sequence hg.
9/110
Two letters picked without replacement from {m: 1, u: 1, j: 1, z: 1, v: 1}. Give prob of sequence uv.
1/20
What is prob of sequence ttt when three letters picked without replacement from {t: 5, x: 14}?
10/969
Two letters picked without replacement from {p: 1, n: 6, z: 3, d: 2, k: 6}. Give prob of sequence dd.
1/153
Two letters picked without replacement from ullllgalallylllula. Give prob of sequence ug.
1/153
What is prob of sequence jf when two letters picked without replacement from xxjjmlfljmxmbff?
3/70
Calculate prob of sequence pf when two letters picked without replacement from {f: 3, p: 1, w: 1, k: 2}.
1/14
Calculate prob of sequence xsqx when four letters picked without replacement from rrxsqxrsrrrr.
1/2970
Three letters picked without replacement from {s: 1, j: 8, c: 2, z: 2}. Give prob of sequence sjj.
14/429
Calculate prob of sequence ha when two letters picked without replacement from {a: 1, x: 5, c: 2, h: 3, p: 1, y: 3}.
1/70
Two letters picked without replacement from {b: 7, c: 1, z: 5, a: 1, o: 5}. What is prob of sequence zz?
10/171
Three letters picked without replacement from qgqgqwwqgwgqwqgqq. Give prob of sequence wwq.
2/85
Two letters picked without replacement from kkknkiiniknkn. Give prob of sequence nk.
2/13
Three letters picked without replacement from {f: 4, d: 6}. Give prob of sequence fdf.
1/10
What is prob of sequence bss when three letters picked without replacement from {b: 5, s: 9}?
15/91
Three letters picked without replacement from {f: 4, n: 5, h: 1, c: 5}. What is prob of sequence fff?
4/455
Two letters picked without replacement from mwwfaaffm. Give prob of sequence wa.
1/18
Calculate prob of sequence fbb when three letters picked without replacement from {o: 9, z: 3, b: 1, u: 2, c: 2, f: 1}.
0
Two letters picked without replacement from {x: 6, m: 3, y: 1, a: 1, o: 1}. Give prob of sequence yx.
1/22
Three letters picked without replacement from ehaaaekaheaaeehehhh. What is prob of sequence kaa?
5/969
What is prob of sequence ub when two letters picked without replacement from {m: 1, c: 2, u: 6, b: 2}?
6/55
Two letters picked without replacement from uukw. Give prob of sequence wu.
1/6
Three letters picked without replacement from {q: 1, i: 2, o: 1, m: 2, g: 1, t: 1}. What is prob of sequence mqi?
1/84
Calculate prob of sequence gue when three letters picked without replacement from egkxu.
1/60
What is prob of sequence lpr when three letters picked without replacement from rbrgdpbrprprlb?
5/728
Four letters picked without replacement from {l: 8, v: 2, r: 1, a: 2}. What is prob of sequence llaa?
14/2145
Two letters picked without replacement from {b: 5, x: 1, d: 6, g: 1, r: 1}. Give prob of sequence rx.
1/182
Calculate prob of sequence lmm when three letters picked without replacement from lml
|
{
"pile_set_name": "DM Mathematics"
}
|
a) -4655/6 (b) 5 (c) -5 (d) -8
d
What is the closest to 86/3 in 0.4, -10, -2/13, 13, 0.3?
13
Which is the closest to -25.263? (a) -5 (b) 0 (c) -0.3
a
What is the nearest to 82 in 1, 19, 0.01, -105/11?
19
What is the nearest to 0.06 in -1081, 4, -1, 5, 16?
-1
What is the closest to 257 in -0.4, -2/13, -21, -1, -4?
-2/13
What is the closest to 1/3 in -12013, -3/2, 1/3, -6?
1/3
What is the closest to 4734 in -0.05, -6, 0.203?
0.203
Which is the nearest to -0.1? (a) 0.1 (b) -1.91 (c) -0.218 (d) 0.3
c
What is the closest to -13 in -2, -17756, 3/4, 0.5, -0.06?
-2
What is the nearest to 0 in 0.42, -136/7, -63, 0?
0
Which is the nearest to 201908? (a) -5 (b) 0.5 (c) 8/9 (d) 0
c
Which is the closest to 15? (a) 1.6 (b) -1115 (c) -1
a
What is the nearest to 1/4 in 6, 3/5, 4, -5, 0.2, -22076?
0.2
What is the closest to -1916 in 5, -2, 6, 56, 0?
-2
What is the closest to 0.1 in 5, -4458, -185?
5
What is the closest to 6/7 in -2/15, -80, 864?
-2/15
Which is the closest to -2/9? (a) -7/5 (b) 2 (c) -8 (d) -1/32 (e) 43
d
What is the closest to -1 in 9, -16482.3, -4, -1/4?
-1/4
What is the closest to 1204 in -1104, -3, 0.2, -2/11?
0.2
Which is the closest to -6? (a) -4 (b) 0.216 (c) -2 (d) -9 (e) 3/4
a
What is the closest to 74 in 1, 272/7, -11?
272/7
What is the closest to -1/8 in -25, -1.2, -3, -2.5, -5/3?
-1.2
Which is the closest to 0? (a) 4/3 (b) -101 (c) 2 (d) -0.0537 (e) 2/9 (f) -4
d
Which is the nearest to 111? (a) 5 (b) 13 (c) 0.1 (d) -3 (e) -0.2 (f) 29/3
b
What is the nearest to -8 in 2/171, 22.4, 4, 0.1, -3?
-3
Which is the closest to -3? (a) -5 (b) 86 (c) -58/7 (d) -2
d
What is the nearest to 2/3 in -0.5, 896/51, -1?
-0.5
Which is the closest to 0.74? (a) -0.6 (b) -4 (c) -5 (d) 1039/5 (e) -1
a
Which is the closest to 1/19? (a) -0.3 (b) 156 (c) 1 (d) -0.065 (e) 4/5
d
Which is the nearest to 1? (a) 0.06 (b) 5 (c) -19 (d) -525 (e) 9
a
What is the nearest to -0.2 in -0.1, 5/17, 0.5, 10/4683?
-0.1
Which is the closest to -2/19? (a) 4/331 (b) 4 (c) 26 (d) -0.2 (e) 3
d
Which is the nearest to -2520? (a) 2/9 (b) 97/7 (c) -0.4 (d) 1/3 (e) 0
c
Which is the nearest to 0.2? (a) -1/5 (b) 5/4 (c) 1225 (d) 5 (e) 14 (f) 9
a
What is the nearest to 1/3 in -16, -20, 0.53, -11, -3/2?
0.53
Which is the nearest to 1? (a) -1/5 (b) -3/16 (c) -1/3164 (d) -5
c
Which is the nearest to 3/20? (a) 54.9 (b) 13 (c) -2/7
c
What is the closest to -1 in 3, 0.043, -132, -30, 2?
0.043
Which is the nearest to -10? (a) -20/7 (b) -0.4 (c) -2 (d) 2/2389
a
What is the nearest to -4 in 3, 1, 0.6164, -0.2, -2/21?
-0.2
What is the nearest to -0.08 in 0.5, -5/4, 6/7, -0.3, -7/531?
-7/531
Which is the closest to 3? (a) -35/4258 (b) 4 (c) 5
b
Which is the closest to -1? (a) 37/60 (b) 2/3 (c) 0.3405 (d) 3
c
What is the closest to -31 in 797, 0, -0.212, 2?
-0.212
What is the closest to 2 in -35, 2, 57/5, 0.3, 1/10?
2
Which is the nearest to 0.13? (a) -6/5 (b) -2 (c) -10/159 (d) 2
c
Which is the nearest to -6702? (a) 3 (b) -3 (c) 5 (d) 131/17 (e) 4
b
What is the nearest to 1.3 in -0.3, -0.32, 0.4, -6/31?
0.4
Which is the nearest to 0.1? (a) 4 (b) 18 (c) -1300 (d) -1/5
d
Which is the nearest to 1? (a) -1/7 (b) -386 (c) -2/13 (d) -0.1704
a
Which is the nearest to -1? (a) 13 (b) 0.068 (c) 2 (d) -3/16 (e) -5 (f) 32
d
What is the nearest to 300 in -185, 5, 2/35, 1?
5
Which is the nearest to -1/14? (a) 7382 (b) 0 (c) -2.27
b
What is the nearest to -3 in 3/2, -1/5, 8/863, -0.08, -0.3?
-0.3
What is the closest to -0.2 in -98.2, 223.3, -0.1, 0?
-0.1
Which is the nearest to 0.2? (a) 5 (b) -4 (c) -1/2 (d) -215 (e) 4/3 (f) -4.7
c
What is the nearest to 74 in 1.3, 6, 57, -1/3?
57
What is the nearest to 2/3 in -11, -2/3, -3, 0.5, -4, 1779.8?
0.5
Which is the nearest to 89? (a) 0.5 (b) -53 (c) 1/6 (d) 3 (e) -1/9
d
What is the closest to 178606 in 2/11, 0.03, -58?
2/11
What is the closest to 5 in -13.1, 2, -0.4, -13, -7/4?
2
Which is the closest to 0? (a) 0.162 (b) 2/67 (c) 15.64
b
Which is the nearest to 1/29? (a) 1113 (b) 0 (c) -1/3 (d) -1/4 (e) 2/3
b
What is the nearest to 17 in -39, 2/5, -0.14, 2, 0.2?
2
What is the closest to -1 in 40.1906, 0.6, 20?
0.6
Which is the nearest to -131? (a) 0.1 (b) -338 (c) 4 (d) -4
d
What is the closest to -0.2319 in -1, -0.0514, 0.4, -2, -0.2, -0.4?
-0.2
Which is the nearest to -1/3? (a) -0.3 (b) 3/23 (c) -782.7 (d) 0.1
a
What is the nearest to -526 in 334, 2/17, 0.2?
2/17
Which is the nearest to 2/97? (a) -17/3 (b) 78 (c) -5 (d) -16
c
What is the closest to -0.29 in 24.86, -3/8, -0.1?
-3/8
What is the closest to -0.1 in -5, 45, 5/41, 15.6, -1?
5/41
What is the closest to 1216 in -0.4, -8, -2/9, 0.28?
0.28
Which is the closest to 0.16? (a) 62392/3 (b) 0.5 (c) -10
b
Which is the nearest to 1? (a) 0.2 (b) 9 (c) -1 (d) -16.33 (e) 4
a
What is the nearest to 2/21 in 3/5, 1.5, 18/11, 1, -5, 2.6?
3/5
Which is the closest to -181? (a) 1 (b) -144837 (c) 2/15
c
What is the nearest to -0.2 in 0.2556, 0, 3, 9/5, -5?
0
Which is the closest to -34? (a) 35 (b) -0.25 (c) -11
c
What is the closest to -1/2 in 18, 3/5, 220456, 4?
3/5
Which is the nearest to 0.5? (a) -0.205 (b) 0.07 (c) 5/13 (d) 1
c
What is the nearest to -4/135 in -0.3, 14/3, -5, -135?
-0.3
Which is the nearest to 2/3? (a) -0.4 (b) -0.03 (c) -10/27 (d) -11.3 (e) 3
b
What is the nearest to 0.1 in 0.957668, -4, 5?
0.957668
Which is the closest to -0.3543619? (a) 0.5 (b) 2/9 (c) 0.1 (d) 5
c
What is the nearest to -2/9 in 10, 0, 5.87502, 5?
0
What is the nearest to 0 in -0.485, 37/5, -75/8?
-0.485
Which is the nearest to 84? (a) -3 (b) -0.2 (c) -75.8 (d) 2 (e) 0.7
d
What is the closest to 0.1 in -2, -15, -30.51, -6, 0?
0
Which is the nearest to -1/5776? (a) 1 (b) 79.4 (c) -4 (d) -5
a
Which is the nearest to 4096? (a) 0.3 (b) -0.3 (c) 4/3 (d) -0.2 (e) -1/4
c
Which is the nearest to 61/5? (a) 0.4 (b) -3 (c) -4 (d) -3.39
a
Which is the closest to -4/11? (a) 32/13 (b) 0.03 (c) 1/3 (d) -3/5 (e) 4
d
Which is the closest to 21/5? (a) -4/9 (b) 9.5 (c) -0.1 (d) 5/2
d
Which is the nearest to 72/85? (a) 2 (b) 31 (c) -0.4
a
What is the closest to -0.061 in -3, -2/21, -499, 1/2?
-2/21
What is the nearest to 1.9 in -4, -1/19, 1648, -0.5, 0.3, -3?
0.3
What is the nearest to 891 in -1, -0.1, -26, 3/4, -9?
3/4
Which is the closest to -31? (a) -10 (b) 21 (c) 20
a
What is the nearest to -4 in 3/7, 1, 0.02, 5, 1/2, 2/9?
0.02
What is the nearest to 0.2 in 8/19, -0.068, 1.4, 0.5, -4/9?
8/19
Which is the closest to 65? (a) -5 (b) 0.5 (c) 0.05 (d) -2/9 (e) -7
b
Which is the closest to -88? (a) 9 (b) 1238/7 (c) 0
c
What is the nearest to -2/3 in 2.3, -1/7, -0.1, 14, 4?
-1/7
What is the nearest to -26 in -43, -5, 14, -0.3, -0.5?
-43
Which is the nearest to 2? (a) -10.97 (b) 5/4 (c) -7 (d) 5 (e) 3/7
b
What is the closest to -1 in -15, 3, 470004?
3
Which is the nearest to -0.01? (a) -0.1 (b) -28 (c) 5 (d) 0.04 (e) 4 (f) 588
d
What is the nearest to -1/2 in -1/5, -2/3, 9, -4, 2879?
-2/3
Which is the nearest to 0? (a) -0.5 (b) -1 (c) -606 (d) -3/8
d
What is the nearest to -3/2797 in -4, 0.2, 58?
0.2
Which is the closest to 0? (a) 134.7 (b) 9538 (c) 0.4
c
Which is the nearest to 2? (a) 0.3 (b) 13 (c) -208/289
a
Which is the closest to -61? (a) 4/3 (b) -0.2 (c) 9.9 (d) -3/4
d
Which is the nearest to -76169? (a) 4 (b) 117 (c) -5
c
Which is the closest to -0.3? (a) -1/9 (b) 3 (c) 2/30515
a
What is the closest to 0.012 in 3, 374, -0.5, -5, -7/5?
-0.5
What is the nearest to -4 in 192457, 0.1, 0.3, -4, -5/2?
-4
Which is the nearest to 1/6? (a) -1 (b) -103 (c) -2/3 (d) -15778
c
What is the closest to 0.04 in 12/491, 4, 0.4, -40?
12/491
Which is the closest to 52? (a) -8 (b) -0.1 (c) -216
b
What is the closest to -132 in 3/22, 27, 0.2?
3/22
What is the nearest to 16/5 in -2, 31, -24, -0.09, -2/3, 4?
4
What is the nearest to 2/5 in 2/5, 160, 12, 2/9, 4?
2/5
What is the closest to -293 in 0.01, 4, -3, -268?
-268
What is the nearest to -81 in 5, -2119.23, 1/9?
1/9
Which is the nearest to 13/15? (a) -6 (b) 0.2 (c) -0.2 (d) -9 (e) -1/2089 (f) 1/3
f
Which is the closest to 1? (a) 9/2126 (b) -2/7 (c) 11 (d) -3
a
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 0 = -i - c*i + 24. Solve -4*a + i = 0, -4*b - 10 = 2*a - a for b.
-3
Let d = 62 - -13. Suppose 3*b - 2*a = 3*a + 35, 0 = -3*b - 3*a + d. Let k be (24/(-3))/((-2)/4). Solve -5*q - 3*r = -b, -k = -4*q - 0*q - 5*r for q.
4
Let i(h) = h**3 - 3*h**2 + 3*h + 1. Let d be i(3). Solve -z - 4*z = r - 14, 4*r = 3*z + d for z.
2
Let b = 81 - 73. Solve 0 = -2*u + b, 4*u - 10 = -v + u for v.
-2
Let m be ((-1)/(-2))/(153/30 - 5). Solve -n + 5 = m*s - 0, -25 = -5*n + 3*s for n.
5
Let p be (0 - -1 - 2)*0. Let r = 0 - p. Suppose 2*o - 51 + 11 = r. Solve -d - 4*g - 17 = g, 4*d = -4*g - o for d.
-2
Suppose f = -8*f + 45. Solve 0 = 4*k - f*t - 1 - 3, 4*k + 32 = -4*t for k.
-4
Suppose 23 = 5*d + 2*w, -5*d = w - 5*w + 1. Solve -4*l - 22 = 3*v, -5 = -d*l - 2*v - 21 for l.
-4
Let u(r) = r - 4. Let s be u(7). Suppose -2*i = k + s*k - 46, 0 = 5*i - 4*k - 45. Let b = i - 8. Solve 2*q + 12 = -0*v - 2*v, 3*v = -b*q - 22 for v.
-4
Let d = 50 + -47. Solve 35 = 5*q + 4*r, -q + 2*r - d*r = -8 for q.
3
Let k = -11 + 5. Let q = k + 11. Let o = q + -3. Solve -1 = 5*t - 2*i + 4, -3*t = -o*i + 3 for t.
-1
Let m be 980/52 - 4/(-26). Solve a + 4*t = m, t = a + 6*t - 24 for a.
-1
Let h be (-6)/(-9) + (-30)/(-9). Suppose 28 = h*a - 0*a + r, 2*a - 3*r = 0. Let q be a - 3/2*2. Solve 5*x + q - 23 = -5*n, n + 4 = 3*x for n.
2
Let o be ((-22)/6 - -4)*3. Solve -2*q - o = -y, 5*y - 4 - 17 = 2*q for q.
2
Let t = 18 + -13. Suppose 0*v + t*v + 5*p = 15, 0 = v + 5*p - 7. Solve -v*i - 2*c - 8 = 0, 4*i - 6*i = 5*c + 17 for i.
-1
Suppose r + 3*r = 3*q - 30, -2*q = -5*r - 20. Let s be (q/4)/(3/6). Solve -4*a - 3*t - 12 = 0, -13 - 2 = s*a + 4*t for a.
-3
Suppose 4*z = 7*z - 9. Suppose 16 = i + z*i. Solve 4*g + i*k + 16 = 2*k, 0 = -3*g + 4*k - 1 for g.
-3
Let p(i) = i**2 - 10*i + 13. Suppose -2*l - 2 = -20. Let s be p(l). Solve s*u - 3*k = -8 - 9, 2*u - 5*k + 5 = 0 for u.
-5
Suppose 0*c - 4*c = 2*w - 84, -c - 4*w + 7 = 0. Let r = c - 21. Solve -5*x = 5*m, -r*m - 2*m = -3*x - 35 for m.
5
Let u be (-1)/(-1*(-5)/(-10)). Solve -2*x = u*j - 4*j - 16, 5*x = 4*j + 37 for j.
-3
Let t(a) = a**3 - 4*a**2 - a + 7. Let r be t(4). Solve r*f - s = 2, -5*f + 4*s = -s for f.
1
Suppose 0*t - 5*c = 4*t - 60, 2*t - 20 = -5*c. Let b = 6 - 4. Suppose -3*s = b*s - t. Solve -3*f + 3*g = 6, -4*f = 5*g - s + 12 for f.
-2
Let i(p) = -p**3 - 9*p**2 + 3*p + 29. Let h be i(-9). Solve h*m = -0*m + 2*v - 12, -4*m - 5*v - 15 = 0 for m.
-5
Suppose 16 = l + 3. Solve 2*p + 9 = -5*r, -2*p + 31 = -4*r + l for p.
3
Suppose -3*o + 23 = 5*s - 3, 3*o - s = 2. Let i = -8 - -12. Solve 0 = o*t + i*j + 20, 3*t - 3*j - 4 = -t for t.
-2
Suppose 2*z + 9 = 13. Solve 0 = -4*q + q + 2*v - z, -3*q = -3*v + 3 for q.
0
Let k be 0 - 0/(1/((-2)/(-6))). Solve -7*v + 2*v + 3*f + 10 = k, -v = 3*f - 2 for v.
2
Let j be 2/7 + (-153)/21. Let z = j + 12. Let m = -4 + z. Solve m = q - n, 5*q - 6*n = -2*n + 8 for q.
4
Suppose 7 = 3*t + 4. Solve -2 - t = -3*s + 4*a, s + 2*a = 1 for s.
1
Let m(o) = -3*o - 4. Let s be m(-5). Suppose -2*h + h + s = 0. Solve -r + 2*f + h = 1, 0 = 5*f + 20 for r.
2
Let l = 11 + -8. Suppose 4*f = 3*k - f - 10, k = l*f + 2. Solve -4*o - k*u - 23 + 3 = 0, -2*o = 3*u + 12 for o.
0
Let g = 28 - 20. Suppose 5*t = 31 + 19. Let m be ((-5)/(-1))/(2/t). Solve x + 7 = -3*w, 0 = -5*x - 2*w + m - g for x.
5
Let c be 16/(-6)*3/(-2). Let b(u) = u**3 - 3*u**2 - 5*u + 6. Let w be b(c). Let j = 25 + -13. Solve -i = -5*f + 3, w*i = 6*i + j for f.
0
Let b = -2 + 2. Solve b = -3*i + 3*j - 3, -4*i + 4*j + 41 = -9*i for i.
-5
Suppose 3*o - 15 = 0, -5*q + 0*q + 5 = -3*o. Solve -4*a = 3*w + w + 4, 5*w = -q*a - 5 for a.
0
Let i(m) = 5*m - 2. Let n(p) = 24*p - 9. Let a(c) = 11*i(c) - 2*n(c). Let x be a(3). Solve 4*v - 3 = 5, -3*j + 4*v = x for j.
-3
Suppose -2*b - 44 = -5*r, 0 = 2*r - b - 7 - 10. Solve -6 = -2*p - 3*t, r = -4*p - t + 2 for p.
-3
Let w(g) be the second derivative of 5*g**3/6 - 5*g**2/2 + 2*g. Let y be w(-11). Let x be (y/(-50))/(2/5). Solve -3*r = 3*j - 21, -3*j - r + 11 = -x*r for j.
5
Suppose -4*l + 26 = -2*b, -3*l + 8 + 10 = -b. Solve 3*h - l*z = h + 28, 0 = 5*h + 5*z for h.
4
Suppose -3*h + 6*h - 36 = 0. Suppose -w + 82 = 4*z + 5, 87 = 4*z + 3*w. Let c = z - h. Solve j + 4*j - 2 = 3*f, 0 = 3*j - 3*f - c for j.
-2
Suppose -2*s = -0*s - 6. Suppose 40 = 5*v - 0*v - 2*x, -s*v = 3*x - 24. Let k be (v/(-16))/((-2)/4). Solve -8 = f + 2*y, 0 = -y - k - 4 for f.
2
Suppose 4*t - 11 - 9 = 0. Let f(l) = -l**2 - l + 13. Let q be f(0). Let d = -8 + q. Solve -o - v + d = 0, 0 = -4*o + 3*o + 2*v + t for o.
5
Suppose 1 = -2*p + 5. Let o be 2/4*-2 + 4. Let c = 5 - o. Solve 0 = c*m + p*h - 4*h - 18, 5*m - 2*h = 30 for m.
4
Let d(z) = 2*z**2 + 2*z - 2. Let f be d(-2). Let p be (-2)/(3/(-93)*2). Solve 2*o + 4*t = -f*o - 12, 5*o - 3*t + p = 0 for o.
-5
Let w = 6 + -4. Suppose y - 9 = -p, -y + 28 = y + 4*p. Suppose 0*j + y = j. Solve 5*i + w*s = 23, 0 = 2*i + 5*s - 1 - j for i.
5
Suppose -p - 5 + 17 = 0. Let o be 5 + -1 + -3 + (-3)/(-1). Solve -o*j - 16 = -5*c, -6*c + 3*c = 3*j + p for j.
-4
Suppose -2*y - 3*p = -20, 4 + 8 = 2*y + p. Suppose 9 + 6 = 3*x, -c - 45 = -3*x. Let o be (36/c)/(2/(-15)). Solve -y*n + o = 5*q, q = -0*q + 3*n - 2 for q.
1
Let n = 1 + 4. Solve 0 = 3*m + 7 + 5, 15 = 5*h - n*m for h.
-1
Let k(v) = -v**3 - 4*v**2 + 5*v + 3. Let s be k(-5). Let f be (3 + -1)*(-1 + s). Solve -5*x - 3 + 0 = -f*b, 0 = -x - 2*b + 5 for x.
1
Let s = -84 + 164. Suppose -3*v = -7*v + s. Solve 5*w - 9 = -3*q + v, -11 = -5*q + w for q.
3
Let g be (0 - -3) + (-5 - 0). Let i be -1 + (g - -3) - -2. Suppose 3*z + i*b + 7 = 4*z, -3*z = 4*b - 1. Solve f + 0*f + z*p = -17, -15 = 3*p for f.
-2
Let y(s) = s + 4. Let c be y(6). Suppose 5*v = 5*h + c, 0*h = -2*v - 2*h + 4. Solve -1 = d + v*k, -3*d + 2*k = 7 + 12 for d.
-5
Suppose 0 = -5*w + j - 36, 0 = 5*w - 5*j + 11 + 29. Let r = w - -13. Let a be (-5 - -28) + (-2 - 0). Solve 4*y = 3*m - r + a, 2*y - 15 = 3*m for y.
0
Let h = -11 - 7. Let r = h - -18. Let q = -12 + 17. Solve 3*c - 2 = q*y, r = 3*y - 3*c + 5*c - 14 for y.
2
Let h = -64 + 66. Solve 2*z + 2*x = 8, -x = 5*z + h*x - 22 for z.
5
Let p(c) = c - 7. Let f be p(11). Suppose 10*a - f = 8*a. Solve -l = -5*d - 9, -6*d + a*d - 20 = -4*l for d.
-1
Let w = 3 - 1. Suppose 3*r + 6 = -u + 6*r, -3 = w*u - 3*r. Solve 5*h + 5 = -5*c, h - u - 1 = 0 for c.
-5
Let i(c) = c**2 + 8*c - 8*c - 5. Let j be i(4). Solve -5*r = 5*m - 2*m - j, -2*m = -3*r + 18 for m.
-3
Let p(l) = l**2 + 2*l + 4. Let u be p(-4). Let b = -7 + u. Let n = 9 - b. Solve -z + 8 = -5*v, n*v + 0*v + 3*z = -14 for v.
-2
Suppose -10 = 5*x + 5. Let l be -4 - (1 - 5) - x. Solve 3*u + l*b + 2*b = 17, 5*u - 15 = -5*b for u.
-1
Let q = -11 + -3. Let n be (-56)/q + (0 - 4). Solve 11*a = 6*a - 5*y + 10, n = 5*y - 20 for a.
-2
Suppose 0 - 4 = -2*u. Suppose u*o = -2*l + 14, -4*o = l - 4 - 18. Suppose 4*x + 4 = -2*r, -14 = 2*x + 2*r + l*r. Solve -4*p - 4 + x = -v, -4*v - 5 = p for v.
-1
Suppose 84 = 3*y + 15. Let v = -9 - -9. Suppose v = 4*i + 8 - 24. Solve 0 = i*z - 5*s - y, -4*z + 13 = -3*s - 4 for z.
2
Let b(p) = -3*p - 1. Let i be b(-2). Suppose -4*x + 0*x - 40 = -2*j, -2*j + i*x = -42. Solve 5*v + j + 15 = -3*w, 4*v + 18 = w for v.
-5
Let c = -60 + 64. Solve 3*l - l - c*h - 6 = 0, 3*l - 6 = 3*h for l.
1
Suppose -5*y = -2*q - 3*q, 5*y + 3*q = 8. Suppose -3*n + 14 = -y. Solve -z + 20 = -5*m - 0*m, n*m + 3*z + 40 = 0 for m.
-5
Let s(q) = -q**2 - 5 - 2*q + 11*q - q. Let a be s(7). Solve 0*f - a*f - 4*x = -18, 0 = -5*f - 5*x + 20 for f.
-1
Let f = 5 + -7. Let h be (-423)/(-27) - f/6. Solve 3*s = 5*n + 8, -3*s + n - 2*n - h = 0 for s.
-4
Let j = -17 - -32. Let l = 8 + j. Solve -l = -3*f + 2*r, -4*r = f + 1 + 10 for f.
5
Suppose 5*m - 45 = -5*t, 0 = -3*t + 3*m - 0 - 3. Solve -t*n + 35 = 3*b, n - 3 = 2 for b.
5
Let g = -14 - -16. Let t = g - -7. Let w = 16 + -7. Solve 4*l - t = -s, l = -0*s + 2*s + w for l.
3
Let j(i) = i**2 + 9*i - 9. Let o be j(-10). Suppose o + 14 = 3*h. Solve -4*l - h*k + 0*k = 23, 0 = 5*l - 2*k + 4 for l.
-2
Suppose 3*c = c + t + 11, 3*t + 18 = 3*c. Suppose 0*s + 3*s + 9 = 3*i, 0 = 5*i + c*s - 5. Solve -5*x - 8 = -x + 2*f, -i*x - 4 = 4*f for x.
-2
Suppose 3*k - 12 = -2*k + 2*l, 0 = 4*k - 5*l + 4. Solve -n - 3*n = -12, 0 = 2*z - k*n + 2 for z.
5
Let s(j) = -2*j - 1. Let t be s(-2). Suppose t*v + 42 = 6*v. S
|
{
"pile_set_name": "DM Mathematics"
}
|
051 a multiple of 83?
True
Is 667 a multiple of 8?
False
Is 87 a factor of 1367?
False
Is 335 a multiple of 9?
False
Is 704 a multiple of 84?
False
Is 45 a factor of 19452?
False
Is 133 a factor of 108360?
False
Does 219 divide 2409?
True
Is 283 a multiple of 13?
False
Is 109 a multiple of 2?
False
Does 14 divide 1222?
False
Is 3 a factor of 17?
False
Is 67 a multiple of 3?
False
Does 16 divide 448?
True
Does 37 divide 90394?
False
Is 621 a multiple of 27?
True
Is 22 a factor of 2244?
True
Is 4 a factor of 172?
True
Is 820 a multiple of 19?
False
Is 25 a factor of 70926?
False
Does 5 divide 2425?
True
Is 15 a factor of 1785?
True
Is 8 a factor of 106?
False
Is 44 a factor of 1320?
True
Is 3 a factor of 2352?
True
Is 13 a factor of 68459?
False
Does 23 divide 1035?
True
Is 59 a factor of 9735?
True
Is 5 a factor of 1365?
True
Is 14580 a multiple of 108?
True
Does 23 divide 421?
False
Does 19 divide 1007?
True
Is 2 a factor of 1003?
False
Is 24341 a multiple of 101?
True
Does 17 divide 30685?
True
Is 13 a factor of 4264?
True
Is 1633 a multiple of 71?
True
Is 72 a factor of 34488?
True
Does 117 divide 1872?
True
Does 25 divide 3875?
True
Is 20 a factor of 1918?
False
Is 340 a multiple of 17?
True
Is 416 a multiple of 3?
False
Is 8156 a multiple of 22?
False
Is 60 a factor of 4345?
False
Is 195 a multiple of 19?
False
Does 2 divide 645?
False
Is 15 a factor of 60?
True
Is 624 a multiple of 39?
True
Is 56 a factor of 336?
True
Does 13 divide 3302?
True
Is 13676 a multiple of 33?
False
Is 4365 a multiple of 17?
False
Is 1470 a multiple of 18?
False
Is 36 a factor of 10509?
False
Does 4 divide 1076?
True
Does 89 divide 11977?
False
Is 9 a factor of 9846?
True
Does 11 divide 10789?
False
Does 2 divide 282?
True
Does 221 divide 40443?
True
Is 147 a factor of 22249?
False
Does 31 divide 2187?
False
Does 7 divide 6594?
True
Is 163 a factor of 96839?
False
Is 4 a factor of 436?
True
Is 87 a factor of 15343?
False
Is 9535 a multiple of 123?
False
Is 44505 a multiple of 132?
False
Does 52 divide 1545?
False
Is 73125 a multiple of 125?
True
Does 63 divide 8379?
True
Does 134 divide 32767?
False
Does 2 divide 218?
True
Does 4 divide 2191?
False
Is 1008 a multiple of 21?
True
Is 17990 a multiple of 14?
True
Does 11 divide 1387?
False
Is 2448 a multiple of 48?
True
Is 7956 a multiple of 68?
True
Is 59 a factor of 2461?
False
Is 20850 a multiple of 15?
True
Does 7 divide 13916?
True
Is 6032 a multiple of 16?
True
Does 12 divide 7788?
True
Is 1148 a multiple of 14?
True
Is 31 a factor of 1147?
True
Does 2 divide 1809?
False
Is 14 a factor of 29960?
True
Is 2472 a multiple of 22?
False
Is 5 a factor of 12825?
True
Does 101 divide 10908?
True
Does 15 divide 4545?
True
Does 15 divide 2280?
True
Is 11 a factor of 6479?
True
Does 32 divide 928?
True
Is 41 a multiple of 36?
False
Does 7 divide 2390?
False
Is 388 a multiple of 26?
False
Does 13 divide 3198?
True
Is 47787 a multiple of 123?
False
Is 37 a factor of 976?
False
Is 603 a multiple of 8?
False
Is 17 a factor of 1666?
True
Is 128 a multiple of 16?
True
Does 23 divide 2511?
False
Does 25 divide 100?
True
Is 35 a factor of 21002?
False
Does 65 divide 77943?
False
Is 14940 a multiple of 18?
True
Is 24118 a multiple of 297?
False
Is 59512 a multiple of 73?
False
Is 7728 a multiple of 48?
True
Is 95 a multiple of 5?
True
Does 17 divide 90154?
False
Is 74 a multiple of 3?
False
Does 18 divide 293?
False
Is 23 a factor of 9866?
False
Is 29 a multiple of 4?
False
Is 36 a factor of 1143?
False
Is 31698 a multiple of 54?
True
Does 6 divide 543?
False
Is 50130 a multiple of 6?
True
Is 26 a factor of 165?
False
Is 47 a factor of 683?
False
Is 495 even?
False
Does 7 divide 3349?
False
Is 56 a factor of 2800?
True
Does 16 divide 17656?
False
Does 15 divide 1034?
False
Is 29 a factor of 68469?
True
Is 96 a factor of 884?
False
Is 233 a multiple of 65?
False
Is 1088 a multiple of 17?
True
Is 71 a factor of 30859?
False
Is 4725 a multiple of 45?
True
Is 1739 a multiple of 47?
True
Is 384 a multiple of 48?
True
Does 94 divide 2068?
True
Is 240 a multiple of 12?
True
Is 3 a factor of 11?
False
Does 29 divide 19244?
False
Is 714 a multiple of 14?
True
Is 6 a factor of 3537?
False
Is 33 a factor of 7359?
True
Does 4 divide 640?
True
Is 10207 a multiple of 11?
False
Is 24 a factor of 3096?
True
Is 192 a factor of 9532?
False
Does 18 divide 14724?
True
Is 2757 a multiple of 37?
False
Is 455 even?
False
Is 323 a multiple of 17?
True
Does 84 divide 4055?
False
Does 31 divide 571?
False
Does 61 divide 1891?
True
Is 3039 a multiple of 24?
False
Does 48 divide 13056?
True
Is 22 a factor of 438?
False
Is 4795 a multiple of 25?
False
Is 21122 a multiple of 65?
False
Is 22 a factor of 282?
False
Is 2 a factor of 299?
False
Is 1097 a multiple of 37?
False
Does 18 divide 378?
True
Does 28 divide 2839?
False
Is 139128 a multiple of 62?
True
Does 11 divide 16884?
False
Is 709 a multiple of 138?
False
Does 20 divide 1727?
False
Is 26 a factor of 41817?
False
Is 26 a factor of 2652?
True
Is 75 a factor of 65025?
True
Is 253 a multiple of 11?
True
Does 18 divide 252?
True
Is 80 a multiple of 5?
True
Does 15 divide 485?
False
Does 13 divide 36412?
False
Is 16 a factor of 3590?
False
Is 67558 a multiple of 12?
False
Is 39140 a multiple of 168?
False
Is 5 a factor of 12754?
False
Does 157 divide 40506?
True
Is 64 a factor of 1161?
False
Is 269 a factor of 44191?
False
Does 9 divide 42751?
False
Does 8 divide 8933?
False
Does 9 divide 2821?
False
Is 260 a multiple of 9?
False
Does 27 divide 17483?
False
Is 590 a multiple of 5?
True
Does 3 divide 5007?
True
Is 43029 a multiple of 21?
True
Is 60 a factor of 43740?
True
Is 78 a multiple of 13?
True
Is 8450 a multiple of 16?
False
Is 14030 a multiple of 61?
True
Is 21 a factor of 588?
True
Is 4698 a multiple of 81?
True
Is 40 a factor of 2278?
False
Is 28 a factor of 4129?
False
Is 3390 a multiple of 38?
False
Is 372 a multiple of 32?
False
Is 37 a factor of 811?
False
Is 43 a factor of 1935?
True
Is 15 a factor of 434?
False
Does 71 divide 14058?
True
Is 25 a factor of 6975?
True
Is 3638 a multiple of 34?
True
Is 21 a factor of 784?
False
Is 22795 a multiple of 97?
True
Is 14 a factor of 2156?
True
Is 31217 a multiple of 31?
True
Does 16 divide 175216?
True
Does 36 divide 468?
True
Is 136 a multiple of 34?
True
Does 3 divide 1266?
True
Is 11 a factor of 13498?
False
Does 51 divide 969?
True
Does 18 divide 24902?
False
Is 2051 a multiple of 13?
False
Is 4439 a multiple of 23?
True
Is 2089 a multiple of 4?
False
Is 449 a multiple of 19?
False
Does 52 divide 11013?
False
Does 20 divide 260?
True
Is 65 a multiple of 48?
False
Is 629 a multiple of 22?
False
Does 32 divide 3392?
True
Is 3789 a multiple of 18?
False
Is 57 even?
False
Is 308 a multiple of 7?
True
Is 9120 a multiple of 15?
True
Is 1240 a multiple of 6?
False
Is 1218 a multiple of 42?
True
Does 23 divide 3427?
True
Is 650 a multiple of 13?
True
Does 14 divide 53?
False
Is 20 a factor of 600?
True
Is 2054 a multiple of 35?
False
Is 13 a factor of 325?
True
Does 8 divide 5979?
False
Does 15 divide 4983?
False
Is 935 a multiple of 8?
False
Is 26 a factor of 312?
True
Is 8731 a multiple of 37?
False
Is 67 a factor of 938?
True
Is 24 a factor of 888?
True
Does 23 divide 113811?
False
Is 47 a factor of 950?
False
Is 20 a factor of 20480?
True
Does 9 divide 1260?
True
Is 10 a factor of 5462?
False
Does 16 divide 18387?
False
Is 536 a multiple of 37?
False
Is 5 a factor of 8576?
False
Is 8 a factor of 13760?
True
Is 37375 a multiple of 125?
True
Does 37 divide 296?
True
Does 9 divide 153?
True
Is 192 a multiple of 24?
True
Does 26 divide 2569?
False
Is 23 a factor of 20355?
True
Is 6 a factor of 21642?
True
Is 100768 a multiple of 84?
False
Is 3 a factor of 1006?
False
Does 11 divide 7228?
False
Is 1261 a multiple of 15?
False
Does 5 divide 350?
True
Is 47889 a multiple of 313?
True
Does 163 divide 59495?
True
Is 30696 a multiple of 53?
False
Is 21 a factor of 5021?
False
Is 6 a factor of 271?
False
Is 7 a multiple of 7?
True
Does 19 divide 703?
True
Is 10164 a multiple of 44?
True
Is 676 a multiple of 26?
True
Is 38 a factor of 2356?
True
Does 8 divide 5624?
True
Is 21 a factor of 1344?
True
Does 37 divide 3178?
False
Is 44 a factor of 436?
False
Do
|
{
"pile_set_name": "DM Mathematics"
}
|
s are there between 2:01 PM and 7:11 PM?
310
How many minutes are there between 12:30 PM and 1:59 PM?
89
What is 660 minutes before 11:20 PM?
12:20 PM
What is 11 minutes after 10:05 AM?
10:16 AM
What is 48 minutes after 11:20 PM?
12:08 AM
What is 386 minutes after 4:21 PM?
10:47 PM
How many minutes are there between 7:22 AM and 4:08 PM?
526
What is 692 minutes after 8:06 AM?
7:38 PM
How many minutes are there between 3:44 AM and 7:42 AM?
238
How many minutes are there between 5:10 AM and 7:20 AM?
130
What is 54 minutes after 3:26 PM?
4:20 PM
What is 98 minutes before 8:38 PM?
7:00 PM
How many minutes are there between 2:15 AM and 4:23 AM?
128
What is 315 minutes before 5:26 PM?
12:11 PM
How many minutes are there between 10:42 PM and 8:29 AM?
587
How many minutes are there between 7:38 PM and 9:10 PM?
92
How many minutes are there between 2:33 AM and 4:48 AM?
135
How many minutes are there between 12:40 AM and 4:31 AM?
231
What is 137 minutes after 11:29 PM?
1:46 AM
How many minutes are there between 3:53 PM and 10:54 PM?
421
How many minutes are there between 11:10 AM and 12:57 PM?
107
What is 274 minutes before 6:25 AM?
1:51 AM
What is 115 minutes after 8:43 PM?
10:38 PM
What is 514 minutes after 5:23 AM?
1:57 PM
How many minutes are there between 11:16 AM and 7:28 PM?
492
What is 360 minutes after 10:49 PM?
4:49 AM
How many minutes are there between 6:08 PM and 2:58 AM?
530
What is 318 minutes before 1:51 PM?
8:33 AM
How many minutes are there between 3:13 AM and 2:44 PM?
691
What is 327 minutes after 4:17 AM?
9:44 AM
How many minutes are there between 11:33 AM and 8:57 PM?
564
How many minutes are there between 4:22 AM and 11:47 AM?
445
What is 2 minutes after 12:36 AM?
12:38 AM
How many minutes are there between 5:39 PM and 5:21 AM?
702
What is 353 minutes after 9:54 PM?
3:47 AM
How many minutes are there between 1:33 PM and 1:02 AM?
689
How many minutes are there between 8:19 PM and 5:18 AM?
539
How many minutes are there between 7:05 PM and 5:00 AM?
595
What is 549 minutes before 1:03 AM?
3:54 PM
How many minutes are there between 4:44 AM and 8:21 AM?
217
How many minutes are there between 11:22 AM and 9:09 PM?
587
What is 423 minutes before 1:24 PM?
6:21 AM
What is 19 minutes before 1:07 PM?
12:48 PM
How many minutes are there between 7:15 PM and 8:14 PM?
59
How many minutes are there between 10:03 PM and 10:41 PM?
38
How many minutes are there between 2:33 AM and 10:06 AM?
453
What is 609 minutes after 12:52 PM?
11:01 PM
How many minutes are there between 6:43 PM and 5:44 AM?
661
What is 715 minutes before 6:05 PM?
6:10 AM
What is 328 minutes before 11:12 PM?
5:44 PM
What is 159 minutes before 9:51 PM?
7:12 PM
How many minutes are there between 10:50 AM and 11:01 AM?
11
How many minutes are there between 3:35 PM and 12:27 AM?
532
What is 535 minutes before 8:20 AM?
11:25 PM
How many minutes are there between 8:14 PM and 11:18 PM?
184
How many minutes are there between 2:27 AM and 11:43 AM?
556
How many minutes are there between 7:08 AM and 4:24 PM?
556
What is 492 minutes before 1:48 PM?
5:36 AM
How many minutes are there between 12:17 PM and 9:49 PM?
572
How many minutes are there between 10:03 PM and 6:49 AM?
526
How many minutes are there between 5:06 PM and 12:02 AM?
416
How many minutes are there between 5:41 AM and 4:45 PM?
664
What is 104 minutes before 7:40 AM?
5:56 AM
How many minutes are there between 8:40 AM and 4:05 PM?
445
How many minutes are there between 8:49 AM and 2:07 PM?
318
What is 678 minutes before 5:23 PM?
6:05 AM
What is 643 minutes after 3:19 PM?
2:02 AM
What is 672 minutes before 3:55 AM?
4:43 PM
What is 300 minutes before 4:50 PM?
11:50 AM
How many minutes are there between 2:47 AM and 9:37 AM?
410
What is 142 minutes after 2:23 AM?
4:45 AM
How many minutes are there between 6:29 PM and 12:56 AM?
387
What is 526 minutes before 6:09 PM?
9:23 AM
What is 661 minutes after 1:49 AM?
12:50 PM
How many minutes are there between 3:04 PM and 11:14 PM?
490
What is 410 minutes before 10:51 PM?
4:01 PM
How many minutes are there between 12:44 PM and 3:08 PM?
144
What is 643 minutes after 9:46 AM?
8:29 PM
What is 209 minutes after 9:05 AM?
12:34 PM
How many minutes are there between 3:31 PM and 5:15 PM?
104
What is 430 minutes before 1:14 AM?
6:04 PM
How many minutes are there between 2:51 PM and 3:31 PM?
40
How many minutes are there between 8:21 PM and 2:52 AM?
391
What is 676 minutes before 2:20 PM?
3:04 AM
How many minutes are there between 5:23 PM and 2:30 AM?
547
What is 235 minutes before 10:13 AM?
6:18 AM
What is 89 minutes after 11:56 PM?
1:25 AM
What is 493 minutes after 11:04 AM?
7:17 PM
What is 264 minutes after 6:04 AM?
10:28 AM
How many minutes are there between 1:06 PM and 10:22 PM?
556
What is 304 minutes before 2:49 AM?
9:45 PM
What is 688 minutes after 8:28 PM?
7:56 AM
What is 618 minutes after 4:06 PM?
2:24 AM
What is 432 minutes before 9:53 PM?
2:41 PM
What is 298 minutes before 12:22 AM?
7:24 PM
What is 643 minutes before 7:15 PM?
8:32 AM
How many minutes are there between 7:46 PM and 7:50 PM?
4
How many minutes are there between 2:45 AM and 5:50 AM?
185
What is 456 minutes after 3:03 PM?
10:39 PM
What is 35 minutes after 1:57 PM?
2:32 PM
How many minutes are there between 9:03 PM and 8:24 AM?
681
What is 662 minutes before 12:28 AM?
1:26 PM
What is 428 minutes after 5:57 AM?
1:05 PM
How many minutes are there between 11:49 AM and 3:47 PM?
238
How many minutes are there between 3:25 PM and 4:05 PM?
40
How many minutes are there between 1:43 AM and 7:59 AM?
376
What is 583 minutes before 12:37 PM?
2:54 AM
How many minutes are there between 12:44 PM and 12:33 AM?
709
How many minutes are there between 10:09 PM and 6:57 AM?
528
What is 42 minutes before 1:57 AM?
1:15 AM
How many minutes are there between 5:41 PM and 12:07 AM?
386
What is 20 minutes before 7:41 PM?
7:21 PM
What is 324 minutes after 3:03 AM?
8:27 AM
How many minutes are there between 6:09 PM and 10:12 PM?
243
What is 625 minutes before 1:44 AM?
3:19 PM
How many minutes are there between 1:38 AM and 7:32 AM?
354
What is 175 minutes before 3:55 PM?
1:00 PM
What is 98 minutes before 2:02 PM?
12:24 PM
How many minutes are there between 5:05 AM and 10:28 AM?
323
How many minutes are there between 2:22 AM and 6:59 AM?
277
How many minutes are there between 2:12 AM and 10:13 AM?
481
What is 453 minutes before 4:53 PM?
9:20 AM
How many minutes are there between 3:03 AM and 8:30 AM?
327
What is 703 minutes after 10:32 PM?
10:15 AM
What is 517 minutes after 7:22 AM?
3:59 PM
How many minutes are there between 1:40 AM and 8:25 AM?
405
How many minutes are there between 10:35 AM and 5:19 PM?
404
What is 252 minutes after 7:57 PM?
12:09 AM
How many minutes are there between 6:33 PM and 8:48 PM?
135
How many minutes are there between 3:03 PM and 2:13 AM?
670
What is 493 minutes before 3:29 AM?
7:16 PM
What is 130 minutes after 2:44 PM?
4:54 PM
What is 423 minutes after 1:13 PM?
8:16 PM
What is 10 minutes after 10:13 PM?
10:23 PM
What is 715 minutes before 3:30 AM?
3:35 PM
What is 634 minutes after 6:06 AM?
4:40 PM
What is 583 minutes before 9:03 AM?
11:20 PM
How many minutes are there between 11:25 AM and 1:09 PM?
104
How many minutes are there between 4:58 PM and 2:16 AM?
558
How many minutes are there between 9:51 PM and 8:34 AM?
643
How many minutes are there between 3:39 PM and 1:34 AM?
595
What is 496 minutes after 1:17 PM?
9:33 PM
How many minutes are there between 12:21 PM and 10:52 PM?
631
What is 321 minutes after 5:21 PM?
10:42 PM
What is 19 minutes before 9:08 PM?
8:49 PM
What is 456 minutes before 3:40 AM?
8:04 PM
What is 360 minutes after 7:22 PM?
1:22 AM
How many minutes are there between 5:09 PM and 11:55 PM?
406
How many minutes are there between 5:09 PM and 5:45 PM?
36
What is 439 minutes before 4:24 AM?
9:05 PM
How many minutes are there between 8:45 PM and 7:40 AM?
655
How many minutes are there between 3:33 AM and 1:11 PM?
578
What is 360 minutes before 5:49 PM?
11:49 AM
What is 184 minutes before 6:35 PM?
3:31 PM
How many minutes are there between 11:16 PM and 11:00 AM?
704
What is 264 minutes after 3:31 PM?
7:55 PM
How many minutes are there between 2:48 AM and 6:44 AM?
236
How many minutes are there between 10:52 PM and 7:44
|
{
"pile_set_name": "DM Mathematics"
}
|
))**(-49) assuming m is positive.
m**(714224/783)
Simplify ((d**(-1/2)/d**(6/11))/(d**(6/7)/((d/d**(1/5)*d*d)/d)))**10 assuming d is positive.
d**(-79/77)
Simplify ((m/(m*m/(m**4/m)*m))/(m**(1/3)*m))/((m/m**(-1/4))/(m/(m/(m/(m**(-5)/m)))))*((m*m**2)/((m/m**(-5))/m))**(10/9) assuming m is positive.
m**(115/36)
Simplify u/((u/u**0)/u)*u/u**(-6)*((((u/u**(-1/7))/u)/u)/u)/u**3*(u**1)**17/((u*u**(-5/3)*u*u)/(u**4*u*u)) assuming u is positive.
u**(521/21)
Simplify ((n*n**4)/n**(-3/2)*((n**(2/9)/n)/n*n)**39)/(((n**(1/4)/n)/n)/(n**(4/9)*n)*n**(1/6)*n*n*n*n**(-4)) assuming n is positive.
n**(-713/36)
Simplify h**(1/7)*h**3*h/(h/((h*h**(3/2))/h))*h/h**(-2)*((((h/((((h*h**0*h)/h)/h)/h))/h)/h)**10)**(3/4) assuming h is positive.
h**(107/14)
Simplify ((k/k**5)**36*(k**(1/7))**34)**(-2/23) assuming k is positive.
k**(1948/161)
Simplify (r**4*r*r/((r/(r**7/r)*r)/r))/((r*r**(-1/4))/(r*r*(r**6/r*r*r*r)/r*r))*r**6*r**(1/2)/r*((r**(-3)/r)/r)/r**4 assuming r is positive.
r**(67/4)
Simplify ((d*d**(-1/7)*d)/(d*d**(-1/3)))**(14/11)/(d**(-2/7)/(d*d/(d**(-2/11)/d)))**36 assuming d is positive.
d**(29186/231)
Simplify (v**(-1/4)*v)**(-38)/(v**1*v**(-2/13))*(v*v**0*v/((v**(-2/9)/v)/v))**(-50) assuming v is positive.
v**(-56267/234)
Simplify ((d*d**(-8/7)*d)/(d*d*d**(6/19)*d)*(d/((d**(-30)*d)/d))/d**26)**(7/5) assuming d is positive.
d**(338/95)
Simplify (a**(-1))**(-1)*(a/a**(-3))/(a*a**(3/2))*(a/a**(-1/4))**28*(a*a**(3/4))/(a**5*a*a) assuming a is positive.
a**(129/4)
Simplify ((w**(1/2))**(-14/9))**(-2/83)*(w*w**(1/4)*w**(-5/2)/w)**(-29) assuming w is positive.
w**(195023/2988)
Simplify (f/(f/f**(-29))*f/((f**(-35)*f)/f)*f**(-8)/f**(-11))**(-3/40) assuming f is positive.
f**(-3/4)
Simplify ((b/b**11)/(b/(((b/b**(-2))/b*b)/b))*b**(-3/5)/(b*b/b**(6/11)))**34 assuming b is positive.
b**(-20672/55)
Simplify ((o**(-1)/o*o)**(-9))**(-3/11)/((o**0)**22/(o*o/o**(-2/11)*o*o**(-5/2)*o)) assuming o is positive.
o**(-17/22)
Simplify y*(y/(y*y*y**0/y))/y*y*y/(y*y*y**(-2/11))*y**(1/2)*y**(4/27) assuming y is positive.
y**(493/594)
Simplify ((j**(-11)/j**(-3/11)*j**(-5/2)*(j*j**(3/5))/j)**40)**39 assuming j is positive.
j**(-216684/11)
Simplify (i**(-6)*(i*i**(-17)*i)/i*((i/i**(2/23))/i)**(2/39))**39 assuming i is positive.
i**(-19738/23)
Simplify (((r*(r/(r/(r**(40/3)*r))*r)/r)/(r/((r**(-1/6)*r)/r)))**6)**7 assuming r is positive.
r**595
Simplify (x**(-2/7)/x*(x*x/(x*x/(((x*x/x**0)/x)/x)*x))/x*x*x**6/x*x/x**(-2/11)*x)/((x/x**(3/2))/(x/(x*x**(-7)/x*x))*(x**(1/4))**(2/45)) assuming x is positive.
x**(42914/3465)
Simplify (((t*t**(-4/13))/t)**(-14)*t**(-2/21)*t*(t*t**38)/t)**(-2/11) assuming t is positive.
t**(-23594/3003)
Simplify (((a**(-3))**(-21)/((a*a*a**(-9))/(a*a**2*a)))**39)**(-12/5) assuming a is positive.
a**(-34632/5)
Simplify (((r/r**(3/2))/(r**(3/7)*r)*r**(-3/8)/(((r*r**(2/19))/r)/r))**32)**(-5/4) assuming r is positive.
r**(7495/133)
Simplify (((m**(-14)*(m*((m/((m*m**(-17))/m))/m*m)/m)/m)**4)**(-1))**10 assuming m is positive.
m**(-120)
Simplify ((j/j**(1/4))**17)**(2/15)/(j**(-2)/j**(-1/4)*(((j*(j*j**1)/j*j*j)/j)/j)**(-18)) assuming j is positive.
j**(789/20)
Simplify (c**(-2))**(-29)*(c*c*(((c/c**(-1/2))/c)/c*c)/c)**22*(c**(-7)/c**(1/5))**(11/5) assuming c is positive.
c**(1879/25)
Simplify ((b/b**(2/5))**(5/7)*(((((b**0/b)/b)/b)/b)/b*b)**(-5/7))/(b**2/(b**(-3)/b)*(b**0)**(-4/25)) assuming b is positive.
b**(-19/7)
Simplify ((l**(-3/5)/(l/(l*l/(l**(4/9)*l))))/(l**(-5)*l**4))**(-12/11) assuming l is positive.
l**(8/165)
Simplify (y**(1/2)*y**(-4)*y/y**(-3/4)*y*y*(y*y**(-2))/y*y)**(2/15) assuming y is positive.
y**(-1/10)
Simplify x**(2/13)*x**32*x*x*(x/(x/x**(1/7)*x))**(8/11) assuming x is positive.
x**(33564/1001)
Simplify (k*k**(-46))/k*k**(-8/7)*(k**(-2/49))**(-3) assuming k is positive.
k**(-2304/49)
Simplify ((w**(1/2)/w*w**(-5)/w)/((w*w**(-2/13))/(w/(w*w**(-1)))))/((w*w**0/w)**(-1/2)*w**5*w*w*w**(-2/3)*w) assuming w is positive.
w**(-1067/78)
Simplify (l**6*l*l**(-4/5)/l)/(l**(3/5)*l*l**(-5/3))*(l*l*l*l/(l**(-2/13)/l)*l*l/(l**7*l))/(l**(-9)*l**(-4)) assuming l is positive.
l**(3397/195)
Simplify (g**(-2/21)/(g/g**(-2/5)))**(-9/8)*(((g/g**0)/g)**29)**(1/24) assuming g is positive.
g**(471/280)
Simplify (k/(k/(k/(k*k**1))))**(1/32)/((((k**(1/2)*k)/k*k)/k*k)/k**6)*((k/(k*k**0))**(-20/7))**(-4/7) assuming k is positive.
k**(143/32)
Simplify (o/(o**(-14)/o)*o*o**(37/2))/(((o/((o/(o**(-47)*o))/o))/o*o)/o**(-1/3)) assuming o is positive.
o**(481/6)
Simplify (j*(j/j**6*j*j)/j*j**(1/6))**(-32)*(j*j**4*j**(7/2)/j)**45 assuming j is positive.
j**(2569/6)
Simplify ((o**(-1)/o*o**(-5/6))/(o/o**8*o**(-6/7)))**(-1/3) assuming o is positive.
o**(-211/126)
Simplify ((((z*z*((z**(-16)*z)/z)/z*z*z)/((z*z**(-10/7))/z))**(1/4))**(-6/5))**19 assuming z is positive.
z**(4617/70)
Simplify ((j/(j/j**20*j))/j**(-18)*j**13*j*j**(2/15)/j)**(-17/2) assuming j is positive.
j**(-6392/15)
Simplify (u*u**0*u**(-1/21)*u**(-16)*u/(u**18*u*u))**(-14/13) assuming u is positive.
u**(110/3)
Simplify (r**(-2/63)/((r/(r/(r**(-2/53)/r)))/r)*(r/(r/(r/(r*r/((r*r**(2/41)*r)/r)*r)*r)))/((r**(-1/21)*r)/r))**(-16) assuming r is positive.
r**(-4605040/136899)
Simplify ((n**(-6/5)*n**(-5/2))/(n**6/n)**35)**(-5/11) assuming n is positive.
n**(1787/22)
Simplify ((q**29/(q/q**(2/5)))/(((q*q*q*q**(-1)*q)/q)/q**(-1/14)))**(-1/60) assuming q is positive.
q**(-1843/4200)
Simplify (((u/(u/u**(-13)))/u)/(u**(1/2)/u)*u**(3/16)/u**2)**(-32) assuming u is positive.
u**490
Simplify (j**1)**19/((j**(-25/3)/j)/(j*j*(j*j*j/((j*j**(-1/40))/j*j))/j)) assuming j is positive.
j**(3763/120)
Simplify ((((m**(-6)/m)/m)/(m**(3/7)*m))/(m**(1/4))**(-3/40))**28 assuming m is positive.
m**(-10539/40)
Simplify (p/p**1*p*p**(4/5))/(p**(-2/3))**(-36)*(p**0*p)**(2/53)*((p**(1/3)/p*p)/p)**(-22) assuming p is positive.
p**(-5959/795)
Simplify ((n**0)**(5/3)/(n/n**0*n**3))/((n*n**(2/5))**(1/2)*(n**(-2/11)/n)/(n*(n*n**4)/n)) assuming n is positive.
n**(163/110)
Simplify (b/(b/b**25)*b)/(b/b**(-21))*b**17/(b/b**(3/11)) assuming b is positive.
b**(223/11)
Simplify z*z*z/z**1*z**(-36)*z**28/(z**10/z) assuming z is positive.
z**(-15)
Simplify (j**24*j*j/(j/j**32))/(j/j**(2/11)*j*j**(-27)) assuming j is positive.
j**(904/11)
Simplify ((a**4/a)**(1/3)/(a**(2/33)*a/a**(-3)))**36 assuming a is positive.
a**(-1212/11)
Simplify ((f**(2/43)/f)**20*(f**(1/8))**(8/9))**(-29/3) assuming f is positive.
f**(212773/1161)
Simplify ((h**(1/4))**34)**(-4)*((h**(-2/11)*h)/(h*h**(-4/3)*h*h))/(h**(-1))**(-20) assuming h is positive.
h**(-1810/33)
Simplify (s/((s/s**(1/21))/s)*s**(-12))**0/((s**(-2)/s)**(1/4)*(s**(-2))**(-20)) assuming s is positive.
s**(-157/4)
Simplify ((x/((x**(-1/2)*x*x)/x*x)*x)/x)**(-28)*(x*x/x**(-1))/(x**4*x)*x*x**3*x**4*x**(-1/4)/(x**(1/3)*x) assuming x is positive.
x**(221/12)
Simplify (((q/q**10)/(q/((q**(-17)/q)/q)))/((q/(q*q/q**(-1/4)))/(q**(-2)/q)))**(-29) assuming q is positive.
q**(3567/4)
Simplify ((q**0)**37)**(4/19)/((q**(-1)*q)**(5/7)*(q*q*q**(-1/9))/q**0) assuming q is positive.
q**(-17/9)
Simplify (((j*((j/(j/((j*j/((j**(-3/4)/j)/j*j))/j)))/j)/j*j*j*j)/j)/(j/(j**(-3/7)*j)))**16/((((j*j/(j**(2/5)*j))/j)/j)/j**(2/3))**(-6) assuming j is positive.
j**(1426/35)
Simplify k**(-4/3)/k**(-1)*(k**(-1))**(-8/7)*((k/((k*k*k**(2/23)*k*k)/k*k*k))/k**(-4/7))**(-2/149) assuming k is positive.
k**(61655/71967)
Simplify (((d/(d/(d/(d**(-4)/d))))/d)**(-9/8))**31/((d**(2/9)*d**(1/5))/(d**(3/5)*d*d*d**7)) assuming d is positive.
d**(-59471/360)
Simplify ((z*z**(-1/3)/z)**8*z**(4/9)/((z*(z*z**(-1/5))/z)/z))/((z*z**(-1/4))**(16/5))**(-1/20) assuming z is positive.
z**(-428/225)
Simplify ((((w/w**(1/4))/w)**(-1/2)/(w**(-6)/(w*w*w**0*w)))**(-22))**33 assuming w is positive.
w**(-26499/4)
Simplify ((b*b*b**(2/9)*b)/b*b**(-1))/(b*b**1*b)**(-32/3)*(b**(-1/4))**(2/9)*(b/(b/(b/(b**6*b*b*b))*b))/b*b*b**(-2/11)/b assuming b is positive.
b**(1517/66)
Simplify ((a**(2/3)/a)**(1/4)*(((a**(-1)*a)/a)/a)**(-4/29))/((a**(2/3))**(-6/17))**(-4/5) assuming a is positive.
a**(127/29580)
Simplify (i**7/(i*i**(-1))*i**7*i*i*i**(-1/3))/((i/((i**(-1/4)/i)/i))/i*i*i/(i/(i/(i/i**(1/7))))*i*i**(-4)/(i**5/i)) assuming i is positive.
i**(1619/84)
Simplify ((i/i**(1/34))**(2/85)/(i**(-44))**(4/21))**(4/17) assuming i is positive.
i**(1020052/515865)
Simplify ((b*b*b**(-1)*b*b*b)*
|
{
"pile_set_name": "DM Mathematics"
}
|
ands digit of 50946?
0
What is the thousands digit of 17007?
7
What is the hundreds digit of 13645?
6
What is the thousands digit of 1567?
1
What is the units digit of 1144?
4
What is the thousands digit of 12219?
2
What is the thousands digit of 7255?
7
What is the tens digit of 1097?
9
What is the hundreds digit of 2039?
0
What is the tens digit of 10188?
8
What is the hundreds digit of 3694?
6
What is the hundreds digit of 756?
7
What is the tens digit of 4759?
5
What is the thousands digit of 2919?
2
What is the thousands digit of 73668?
3
What is the hundreds digit of 1446?
4
What is the units digit of 20324?
4
What is the ten thousands digit of 11937?
1
What is the units digit of 2224?
4
What is the units digit of 12593?
3
What is the units digit of 2951?
1
What is the thousands digit of 6997?
6
What is the tens digit of 10778?
7
What is the hundreds digit of 113458?
4
What is the tens digit of 30825?
2
What is the tens digit of 13022?
2
What is the units digit of 745?
5
What is the units digit of 98744?
4
What is the hundreds digit of 1426?
4
What is the thousands digit of 5304?
5
What is the units digit of 295?
5
What is the hundreds digit of 8791?
7
What is the hundreds digit of 39692?
6
What is the hundreds digit of 18663?
6
What is the tens digit of 2104?
0
What is the hundreds digit of 18415?
4
What is the units digit of 4869?
9
What is the units digit of 1026?
6
What is the tens digit of 80799?
9
What is the thousands digit of 6477?
6
What is the tens digit of 18?
1
What is the units digit of 15075?
5
What is the thousands digit of 7402?
7
What is the hundreds digit of 74833?
8
What is the hundreds digit of 43748?
7
What is the tens digit of 16821?
2
What is the units digit of 10434?
4
What is the ten thousands digit of 74908?
7
What is the hundreds digit of 5066?
0
What is the thousands digit of 32632?
2
What is the tens digit of 164?
6
What is the thousands digit of 27389?
7
What is the hundreds digit of 741?
7
What is the tens digit of 1908?
0
What is the units digit of 487?
7
What is the ten thousands digit of 12119?
1
What is the ten thousands digit of 41884?
4
What is the tens digit of 2508?
0
What is the tens digit of 664?
6
What is the ten thousands digit of 166057?
6
What is the ten thousands digit of 10501?
1
What is the units digit of 3458?
8
What is the hundreds digit of 727?
7
What is the hundreds digit of 824?
8
What is the tens digit of 1394?
9
What is the hundreds digit of 75453?
4
What is the thousands digit of 109623?
9
What is the hundreds digit of 4488?
4
What is the tens digit of 1465?
6
What is the tens digit of 117997?
9
What is the ten thousands digit of 10518?
1
What is the hundred thousands digit of 123397?
1
What is the tens digit of 26934?
3
What is the tens digit of 94502?
0
What is the units digit of 157?
7
What is the hundreds digit of 122968?
9
What is the units digit of 32288?
8
What is the thousands digit of 15501?
5
What is the hundreds digit of 5886?
8
What is the tens digit of 1139?
3
What is the hundreds digit of 1093?
0
What is the tens digit of 24901?
0
What is the hundreds digit of 4268?
2
What is the tens digit of 8347?
4
What is the units digit of 667?
7
What is the units digit of 232?
2
What is the units digit of 11978?
8
What is the hundreds digit of 7733?
7
What is the ten thousands digit of 25235?
2
What is the tens digit of 23334?
3
What is the tens digit of 73620?
2
What is the units digit of 2031?
1
What is the units digit of 49939?
9
What is the units digit of 1254?
4
What is the thousands digit of 10986?
0
What is the hundreds digit of 2693?
6
What is the hundreds digit of 25113?
1
What is the thousands digit of 14306?
4
What is the tens digit of 388?
8
What is the hundreds digit of 842?
8
What is the tens digit of 8900?
0
What is the tens digit of 3533?
3
What is the tens digit of 1907?
0
What is the hundreds digit of 18379?
3
What is the units digit of 796?
6
What is the hundreds digit of 3361?
3
What is the tens digit of 592?
9
What is the ten thousands digit of 46779?
4
What is the units digit of 10188?
8
What is the tens digit of 7124?
2
What is the tens digit of 2820?
2
What is the tens digit of 1302?
0
What is the units digit of 63214?
4
What is the units digit of 1337?
7
What is the hundreds digit of 293?
2
What is the hundreds digit of 4777?
7
What is the hundreds digit of 479?
4
What is the tens digit of 6017?
1
What is the hundreds digit of 280?
2
What is the units digit of 87167?
7
What is the tens digit of 2071?
7
What is the units digit of 3941?
1
What is the hundreds digit of 711?
7
What is the thousands digit of 2296?
2
What is the tens digit of 1178?
7
What is the tens digit of 1164?
6
What is the ten thousands digit of 57899?
5
What is the thousands digit of 45974?
5
What is the ten thousands digit of 11074?
1
What is the hundreds digit of 994?
9
What is the hundreds digit of 163?
1
What is the thousands digit of 31933?
1
What is the tens digit of 6726?
2
What is the tens digit of 42122?
2
What is the units digit of 8724?
4
What is the hundreds digit of 4408?
4
What is the thousands digit of 34615?
4
What is the units digit of 877?
7
What is the hundreds digit of 38100?
1
What is the hundreds digit of 21725?
7
What is the thousands digit of 8221?
8
What is the hundreds digit of 879?
8
What is the thousands digit of 6944?
6
What is the units digit of 553?
3
What is the thousands digit of 5720?
5
What is the units digit of 1676?
6
What is the hundreds digit of 5006?
0
What is the hundreds digit of 6732?
7
What is the thousands digit of 18774?
8
What is the units digit of 2570?
0
What is the tens digit of 7580?
8
What is the tens digit of 2428?
2
What is the hundreds digit of 35339?
3
What is the units digit of 403?
3
What is the thousands digit of 1351?
1
What is the hundreds digit of 1128?
1
What is the hundreds digit of 12042?
0
What is the hundreds digit of 1878?
8
What is the hundreds digit of 270?
2
What is the thousands digit of 9879?
9
What is the tens digit of 1250?
5
What is the ten thousands digit of 68781?
6
What is the tens digit of 5417?
1
What is the hundreds digit of 43048?
0
What is the thousands digit of 1442?
1
What is the hundreds digit of 475?
4
What is the hundreds digit of 26831?
8
What is the hundreds digit of 54621?
6
What is the units digit of 3261?
1
What is the hundreds digit of 539?
5
What is the units digit of 91?
1
What is the ten thousands digit of 75392?
7
What is the thousands digit of 7524?
7
What is the units digit of 20076?
6
What is the ten thousands digit of 28919?
2
What is the tens digit of 809?
0
What is the hundreds digit of 22581?
5
What is the hundreds digit of 6294?
2
What is the thousands digit of 11175?
1
What is the units digit of 1277?
7
What is the thousands digit of 14679?
4
What is the thousands digit of 2065?
2
What is the units digit of 989?
9
What is the thousands digit of 1310?
1
What is the tens digit of 10027?
2
What is the tens digit of 431?
3
What is the units digit of 9683?
3
What is the units digit of 14944?
4
What is the tens digit of 232?
3
What is the units digit of 470?
0
What is the tens digit of 2148?
4
What is the hundreds digit of 254?
2
What is the units digit of 5164?
4
What is the hundreds digit of 1735?
7
What is the hundreds digit of 265?
2
What is the tens digit of 868?
6
What is the tens digit of 3453?
5
What is the units digit of 2207?
7
What is the hundreds digit of 4423?
4
What is the thousands digit of 4713?
4
What is the thousands digit of 5494?
5
What is the thousands digit of 11746?
1
What is the hundreds digit of 1131?
1
What is the hundreds digit of 6391?
3
What is the hundreds digit of 15567?
5
What is the tens digit of 645?
4
What is the hundred thousands digit of 154692?
1
What is the tens digit of 11799?
9
What is the hundreds digit of 216?
2
What is the thousands digit of 2511?
2
What is the units digit of 630?
0
What is the units digit of 111?
1
What is the hundreds digit of 2928?
9
What is the hundreds digit of 25232?
2
What is the units digit of 2729?
9
What is the tens digit of 6837?
3
What is the units digit of 4528?
8
What is the units digit of 2771?
1
What is the ten thousands digit of 23027?
2
What is the thousands digit of 31589?
1
What is the units digit of 52
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 22?
-110131
In base 11, what is 4 + -521?
-518
In base 11, what is -145 + -8?
-152
In base 2, what is 11001110100110 - 0?
11001110100110
In base 12, what is -3 - -38?
35
In base 14, what is -78 + -23?
-9b
In base 13, what is -bc - 7?
-c6
In base 16, what is 2 - 17a?
-178
In base 5, what is 101 + 11?
112
In base 13, what is -4 + -3845?
-3849
In base 3, what is -10012 + 100?
-2212
In base 4, what is -1332310 - 3?
-1332313
In base 16, what is -f - e2?
-f1
In base 5, what is -11 - 33111?
-33122
In base 12, what is -9 + -34?
-41
In base 3, what is 11 + 101000?
101011
In base 8, what is 133 - 3?
130
In base 10, what is -226 - 6?
-232
In base 16, what is -4b - -8?
-43
In base 9, what is -1 - 2756?
-2757
In base 15, what is -4 - d8?
-dc
In base 9, what is -18 - -412?
383
In base 2, what is 11 + 1001011?
1001110
In base 13, what is -13a - 43?
-180
In base 13, what is -b - 2?
-10
In base 3, what is -2 - 2120020?
-2120022
In base 11, what is -1 + 393?
392
In base 8, what is 12 + 40?
52
In base 16, what is -257 - c?
-263
In base 15, what is -72 + 22?
-50
In base 12, what is -1 + 1a?
19
In base 6, what is 5 - -14?
23
In base 6, what is 433 + 51?
524
In base 15, what is -5 + 14?
e
In base 6, what is -3 + -4?
-11
In base 6, what is 5 + 24?
33
In base 7, what is -22 + 5?
-14
In base 6, what is 0 - -22040?
22040
In base 12, what is -2 + -239?
-23b
In base 4, what is 0 - 212011?
-212011
In base 2, what is 101000001 + -1?
101000000
In base 4, what is 2 - 12?
-10
In base 2, what is -110000 + 100011010?
11101010
In base 2, what is 1 - -1010101?
1010110
In base 14, what is -c + -3d?
-4b
In base 5, what is -200431 - -3?
-200423
In base 5, what is -4 - 1002?
-1011
In base 12, what is 7 - 2a2?
-297
In base 10, what is 4 - -27?
31
In base 5, what is 111 - -30?
141
In base 7, what is -1 - -1406?
1405
In base 13, what is 199 - -1?
19a
In base 3, what is -11 - -21021?
21010
In base 3, what is 1122202 + 11?
1122220
In base 13, what is 14 + 9?
20
In base 16, what is -5 - -7ff?
7fa
In base 12, what is 2 - -248?
24a
In base 6, what is -10 + -312?
-322
In base 16, what is -2 + b5?
b3
In base 11, what is 8 + -89?
-81
In base 8, what is 3 - -3642?
3645
In base 11, what is 138 - -14?
151
In base 16, what is 99 - -9?
a2
In base 6, what is -1 + 2554?
2553
In base 5, what is 40 - -2041?
2131
In base 11, what is 1456a + 5?
14574
In base 16, what is -2 - 9?
-b
In base 5, what is 0 + 1142?
1142
In base 5, what is -1 - 3230?
-3231
In base 12, what is 41 - 23?
1a
In base 12, what is 6 - 27?
-21
In base 3, what is 1 + -102?
-101
In base 3, what is 1020 - 20?
1000
In base 8, what is 4 - -353?
357
In base 8, what is -640 + 5?
-633
In base 6, what is 0 - -30444?
30444
In base 6, what is -4 - 5524?
-5532
In base 14, what is b + 17b?
188
In base 2, what is -1000 - 1010111?
-1011111
In base 15, what is -2 + -17a?
-17c
In base 7, what is -51 + 4?
-44
In base 14, what is 9 - -400?
409
In base 15, what is -1957 + 5?
-1952
In base 14, what is -1c5 - 3?
-1c8
In base 7, what is 314 + -4?
310
In base 12, what is -1115 + -5?
-111a
In base 16, what is e + 9e?
ac
In base 4, what is 101 - -11110?
11211
In base 10, what is -1654 - 4?
-1658
In base 10, what is 13 - 4?
9
In base 14, what is -11 + 1cc?
1bb
In base 6, what is -3255 - -2?
-3253
In base 16, what is -d + -37?
-44
In base 2, what is -1101 - -11?
-1010
In base 14, what is c4b + 5?
c52
In base 7, what is -453 + 33?
-420
In base 12, what is -514 - 1?
-515
In base 16, what is 3 - -26f?
272
In base 3, what is 1 - -1100?
1101
In base 16, what is 8 + -d8?
-d0
In base 3, what is -12 - 1012222?
-1020011
In base 16, what is 4 + 19e?
1a2
In base 11, what is 3 + -101?
-a9
In base 14, what is 1d9 + -16?
1c3
In base 3, what is 111 - 202?
-21
In base 16, what is -6 + -70?
-76
In base 2, what is -110 + -1110111?
-1111101
In base 4, what is 10 + -1321?
-1311
In base 16, what is -2 + -2d4?
-2d6
In base 10, what is 34 + 28?
62
In base 12, what is -924b + -1?
-9250
In base 5, what is 12 + 241?
303
In base 15, what is -23 - 7?
-2a
In base 4, what is -2320 + -21?
-3001
In base 2, what is -1011 + -10?
-1101
In base 5, what is 24230 + 1?
24231
In base 2, what is 1000000011 - -11?
1000000110
In base 16, what is 4 + 82?
86
In base 12, what is 3b + -68?
-29
In base 6, what is 13 - 100?
-43
In base 10, what is 5 + -93?
-88
In base 5, what is -21122 - -1?
-21121
In base 13, what is -738 + -7?
-742
In base 7, what is -103 - -3?
-100
In base 2, what is -10111 + 111?
-10000
In base 7, what is 4 - 126?
-122
In base 8, what is 4 + -101?
-75
In base 7, what is -4 + 231?
224
In base 7, what is 1006 - -30?
1036
In base 14, what is -b6 - -2?
-b4
In base 9, what is -7 - -36?
28
In base 15, what is 6674 + 3?
6677
In base 6, what is 23 + 140?
203
In base 13, what is -3379 - 2?
-337b
In base 5, what is 3202 + -2?
3200
In base 7, what is 6 - 2056?
-2050
In base 9, what is -7 - 57?
-65
In base 5, what is 4 - 130?
-121
In base 10, what is 206 + 109?
315
In base 4, what is 1122 + 2?
1130
In base 14, what is -4 + -34?
-38
In base 6, what is -3 - 25?
-32
In base 11, what is -19 + -2?
-20
In base 12, what is -296 - -6?
-290
In base 5, what is 1 - 104324?
-104323
In base 4, what is 30 + 20?
110
In base 16, what is 3 - -87?
8a
In base 10, what is 0 - -191?
191
In base 5, what is -33 - 30?
-113
In base 15, what is -53 - 47?
-9a
In base 9, what is -5 + -350?
-355
In base 3, what is 1 - -2112?
2120
In base 11, what is 1538 - -2?
153a
In base 15, what is 271 - -2?
273
In base 14, what is -19 + -5?
-20
In base 11, what is 1 + 85a?
860
In base 9, what is 7884 - 3?
7881
In base 8, what is -2 + 120?
116
In base 4, what is -131 + -12?
-203
In base 9, what is 1 + 885?
886
In base 3, what is 10 + -12122?
-12112
In base 4, what is -20 - 2031?
-2111
In base 8, what is 1 - -2253?
2254
In base 11, what is 451 + 3?
454
In base 15, what is 1b - -52?
6d
In base 12, what is -a24 + 2?
-a22
In base 5, what is 2 + -1043?
-1041
In base 15, what is 5 - -d2?
d7
In base 13, what is 11 - -136?
147
In base 8, what is -3 - -402?
377
In base 16, what is 14 + 45?
59
In base 5, what is -4 + -13004?
-13013
In base 8, what is 27 + -13?
14
In base 10, what is 58 - 24?
34
In base 14, what is 2c7 - -2?
2c9
In base 2, what is 10000011111000 + 0?
10000011111000
In base 14, what is 66 + 1c5?
24b
In base 7, what is -53461 - -3?
-53455
In base 3, what is 2 - 122122?
-122120
In base 10, what is 90 - 13?
77
In base 3, what is -12020 - -1?
-12012
In base 9, what is -358 + -4?
-363
In base 4, what is 3303 + 111?
10020
In base 13, what is 16 + -3?
13
In base 3, what is -1 - -101?
100
In base 11, what is 0 - -144?
144
In base 16, what is -11 + -c4?
-d5
In base 12, what is -6 - -18?
12
In base 3, what is 2010 + 201?
2211
In base 12, what is 0 - 435?
-435
In base 6, what is -1521 - -10?
-1511
In base 4, what is -1103 - -10?
-1033
In base 9, what is -2360 + 11?
-2348
In base 3, what is 1201 + 1210?
10111
In base 8, what is 1 - 35?
-34
In base 12, what is -2 + -33?
-35
In base 9, what is -2 + 14584?
14582
In base 15, what is -2d0 - 0?
-2d0
In base 2, what is -10010101101 - 1001?
-10010110110
In base 9, what is 2 - -211?
213
In base 3, what is 202222100 + 2?
202222102
In base 16, what is -5 - -49?
44
In base 16, what is -d3e + -2?
-d40
In base 3, what is 202110 - 12?
202021
In base 8, what is -11 - 14?
-25
In base 12, what is -144 - 5?
-149
In base 7, what is 30 - 42?
-12
In base 11, what is -504 - 0?
-504
In base 7, what is 3 + 16?
22
In base 14, what is -2c + -14?
-42
In base 14, what is 1651 + -3?
164c
In base 10, what is 69 + -5?
64
In base 9, what is 0 + -557?
-557
In base 13, what is 0 - -2b4?
2b4
In base 8, what is 27 - -47?
76
In base 4, what is 10 - -30021?
30031
In base 7, what is 1500 - -12?
1512
In base 2, what is 10 - 1010110111010?
-1010110111000
In base 12, what is -74 - 33?
-a7
In base 6, what is -4 + 1542?
1534
In base 13, what is -154 - -1?
-153
In base 10, what is 5967 - 3?
5964
In base 5, what is 2323 + -1?
2322
In base 12, what is -4 + 30?
28
In base 13, what is -16 + 3ab?
395
In base 2, what is -10 - 1000?
-1010
In base 10, what is -400 + 3?
-397
In base 7, what is 5113 + -6?
5104
In base 5, what is -3104 + 3?
-3101
In base 7, what is 216 + -16?
200
In base 3, what is -2 + 120020?
120011
In base 12, what is -4a - 21?
-6
|
{
"pile_set_name": "DM Mathematics"
}
|
229 - 76 - 37 - 70.
46
Evaluate 12 + (-897 - -896) + 6 + 0.
17
12 + (21 - 0 - (-5 - -7))
31
What is the value of -1438 + 1410 + 11 + 2?
-15
Evaluate (24 - 37) + 18 + 7 + -96 + -2.
-86
What is the value of -53 - (70 + -58 - 55)?
-10
What is 12 + (-3 + 4 + -172 - (-73 + 34 + 27))?
-147
Calculate 11 + (-6 + 16 - (18 + -11)) - (0 + 3).
11
10 + -18 - (-7 + 6) - (13 + 38)
-58
Evaluate 26 + (-39 - -49) + (50 - 6).
80
What is the value of -1 + -19 - -1 - (40 + (-111 - -54) + 13)?
-15
What is (1 + 1 - (2 - -5)) + -4 + 18 + -22?
-13
What is the value of (13 - (9 - 0)) + 2 + (-1 - -4)?
9
What is 77 - (13 + (4 - 10 - (2 - 9)))?
63
Evaluate 8 + -31 - (-9 + 14 - 11 - -11).
-28
What is -15 + 9 - 8 - (13 - 1 - 0)?
-26
What is -2934 + 2921 - (-56 - -1)?
42
What is 8 - ((8 - 6) + 6 + -4) - (55 + 0)?
-51
1 - -13 - (-3062 - -3068 - (-1 - (4 + 2)))
1
Evaluate (-36 - -115 - (1 + 3)) + (21 - 1).
95
Calculate -9 + (-40 + 47 - (13 + 2)) + 149.
132
Calculate -35 + 30 + 41 + -47 - 17.
-28
What is (-3 - 6) + (358 - 383) + -12 + -2?
-48
What is the value of (-29 + (-22 - -58) - -22) + 46?
75
What is -135 + 89 + 19 - (2 - 9)?
-20
What is the value of (-45 + 50 - 167) + 84?
-78
(8 + 1 - -11) + -14 + (-66 - 7)
-67
8 + (-12 + 1 + -48 + (-5 - 0) - 7)
-63
Calculate -33 + (61 - -11) - 20.
19
Calculate 95 - (-14 + -76 + 80).
105
Evaluate 0 - (-63 - (-10 - 29 - -13 - -13)).
50
What is the value of -5 - (-2 + 6 + -57 - (5 + 7 + -2))?
58
62 - (46 + -16 - -36)
-4
Evaluate (5 - (-7 - -6) - 11) + (4 + 2 - 11).
-10
What is the value of (-20 - -13) + 4 + 5 - -7?
9
Calculate (0 - 11) + -149 + 140.
-20
What is the value of 0 + (10 - ((7 - (74 - -12)) + -6 + 9))?
86
Evaluate -27 - -14 - (-2 - -14 - (-100 + 184)).
59
-8 - 84 - (-195 - -151)
-48
Calculate 37 + (15 - -1 - (-26 + (26 - -13))).
40
What is (145 - 53) + -26 - 63?
3
Calculate (-15 + 2 - -1) + (44 - (-49 - -143)).
-62
What is the value of 0 + -7 - (1214 + -1260 + 0 + -28)?
67
Evaluate -58 + 3 + -9 + (-2 - 5 - (-8 - 8)).
-55
What is the value of -45 + (-79 - (47 + -240))?
69
Evaluate 8 - ((53 - -42) + -86).
-1
Evaluate -145 + (367 - 104) - 98.
20
-448 + 440 + (-1 - -22) - 19
-6
What is -2 - 21 - -7 - (-20 + 2 + 3)?
-1
Evaluate -8 + (12 - 16) - (1 + 29 + 9).
-51
What is (24 - (-8 + 27)) + -83 + 10 + (-6 - -5)?
-69
What is 8 + (192 - 87) + -114?
-1
Evaluate (724 - 730 - (0 - -38)) + -4 + -10.
-58
Calculate 128 - 160 - (10 + -44).
2
What is the value of 4 - -6 - (-15 - (-11 - 2 - -9))?
21
Calculate -16 + 28 - (66 - (10 + 4 - 9)).
-49
What is -9 - (8 - (-1 - -6)) - (59 - 40)?
-31
What is the value of (-66 + 52 - -46) + -31?
1
2 - -1 - (4 + (15 - 16) + 83) - -12
-71
What is the value of -1 + -2 + (-28 - (-4 + -23)) + -32?
-36
73 + 59 + -313 - -153
-28
Evaluate (1 - (-15 + (8 - 4))) + 193 + -193 + 2.
14
Evaluate 173 - (144 + 118 + -186).
97
What is the value of (3 + -15 - -2) + (-3783 - -3823)?
30
What is 34 - (10 - (-22 - -25)) - (1 - 6)?
32
2 + -66 - (-1382 + 1282)
36
What is 80 + -32 + 27 - 122?
-47
Evaluate (-1 - (-21 + 11)) + (-6 - -13) - -40.
56
(-1 - -7) + (-2 - (-34 - -14 - -32) - 15)
-23
50 + -43 + -11 + -19
-23
What is -12 + 12 + ((-13 - -2) + 9 - -11) + 24?
33
Evaluate 168 + -160 + -9 + 20 + 6.
25
What is the value of (8 - 2 - (-6 + 14 + -4)) + 296 + -200?
98
Evaluate -26 + -69 + (37 + -2 - -4).
-56
-2003 - -2013 - (-1 - -7 - -52)
-48
What is the value of 67 + 0 + 19 + (0 - (-17 + 7) - 18)?
78
What is 21 + -34 - -19 - -3 - (-1 - (56 + 4))?
70
What is -38 + 35 - -4 - (5 + -31)?
27
Evaluate 1 + -8 + -3 - (-53 + (-7 - -21)).
29
What is (35 - 129 - -142) + (-1 - -4)?
51
What is the value of 0 + 69 + (12900 - 12947)?
22
What is -15 - 4 - (114 - 106)?
-27
Evaluate 51 + (80 - 47) + -79.
5
What is (8 + -19 + 0 - (-27 - -5)) + -14 + 1?
-2
What is -433 - -464 - (-1 - (-1 + 4 + -11))?
24
What is the value of 19 + (-3 + -52 - (-22 + -2))?
-12
Evaluate 109 + -90 + (2 - 13 - (77 + 25)).
-94
Evaluate 22 - (-39 - (-21 + (4 - -4))).
48
What is 21 - 25 - (22 - (-9 - -9))?
-26
What is -29 + (-18 - -36) + -1 + -67 + -3 + -2?
-84
What is the value of 36 - (38 - (17 - -2))?
17
Evaluate 25 - (22 + -10) - 30 - 4.
-21
(82 - -26) + (-113 - -73)
68
Evaluate -1413 - -1492 - (0 + -6).
85
4 + (-9 - (8 + 4 - 25)) + 0 + -56
-48
What is 3 + (-96 - -59) + -2 + 9?
-27
-35 + (2 + 4 - (9 - -14 - 3)) + 7
-42
Evaluate 0 - (-20 - -25) - 33.
-38
Evaluate -33 + (-11 + 9 + 9 - -15).
-11
Evaluate (-13 - (31 - 21)) + 35 + -21.
-9
(-59 - (2 + -1)) + (5 - 50 - -43)
-62
Calculate -33 - (3 + -5) - (8286 - 8282).
-35
What is the value of 38 - (-34 - (-56 - 9))?
7
Calculate -13 + (2 - (10 - 0)) + 86 + 24 + -99.
-10
What is the value of 2 - (12 + (10 - 17) + 40)?
-43
Calculate (99 - 39) + (-72 - 69).
-81
What is -24 + -34 + (-54 - (-13 + -7) - -11)?
-81
Calculate -149 + 155 + (-16 - -4).
-6
Calculate 3 + (-5 - -4) - 9 - (-2 - -29 - 21).
-13
What is the value of -53 - (126 - 217) - (11 + 0)?
27
-12 + (-1 - -1) + -267 + (177 - -195)
93
73 - (-6 + 21) - (70 - 59)
47
-304 + 345 - (19 + -2 + 4)
20
What is 6 + -3 - ((6 - 22 - -159) + 5 + -23)?
-122
What is 2 + ((-33 - -46) + 22 - -28)?
65
Calculate (1 - -2) + 130 + -158 + 117.
92
What is 9 - (13 + (0 - 3) - -2) - -46?
43
What is the value of 56 + -20 + (24 - (10 - (3 + -2)))?
51
Calculate -127 + (33 + 6 - 36) - (7 + 2).
-133
Evaluate (-17 - 0) + (27 - (101 + -52)).
-39
What is -48 + (0 - -22) + 32 - (0 - -65 - 0)?
-59
-42 - (11 + -24 + 62 + -3)
-88
Evaluate 20 + -7 + (-12 - 5) + 9 + -25.
-20
Evaluate (-1 - -3) + (9 + -12 - -8) + -15 + -94.
-102
What is the value of (39 - (0 - -10)) + (11 - -2)?
42
Calculate 48 - ((-19 + 8 - -21) + 4 - 15).
49
Evaluate -57 - -1 - -1 - (-722 + 712) - 2.
-47
Calculate -5 - -20 - (1 + 13 + -24 + 13).
12
Evaluate -8 + -2 - (-11 + 6) - (-7 - 4) - -24.
30
What is the value of 413 + -363 + 0 + -3 + -3 + 6 + 3?
53
What is the value of -27 + -2 + -4 + -1 + (12 - (3 - -1))?
-26
Calculate -7 - (-14 + (-13 - -28 - 18) + 17).
-7
-17 - (7 + -37 + 20 + -12)
5
Calculate -2 + (34 - ((-11 - -25) + -12)).
30
What is the value of (-9683 - -9693) + (47 - (-1 - -2))?
56
What is the value of -79 - (13 + (-234 - -107))?
35
What is the value of -13 - (-7 - -5 - 6) - -24 - 130?
-111
Calculate -33 + (-5 - -10 - (-2 - (11 - 16))).
-31
35 + -37 - (5 - -3 - (0 + 28)) - -10
28
Evaluate (-9 - (-6 + -7) - 13 - -6) + -2 - 29.
-34
What is 2 + 0 + -14 + 2 + -39 + 22 + 6?
-21
Evaluate 56 - (-40 + 97 + -17).
16
Calculate 542 + -532 - (87 - (6 + -4 + 1)).
-74
What is the value of (29 - 25 - 50) + 40?
-6
(20 + -6 - -4) + (-158 - (-19 + -21))
-100
(-1 - -6) + (100 - (3 + 65))
37
Calculate -11 + (5 - (-12 - -11)) - (107 - (-17 - -10)).
-119
What is the value of -51 + 26 + 27 - (19 - (-6 + 2))?
-21
Calculate 2 + -14 + 1 + 34 + (73 - 120).
-24
What is (407 + -417 - (1 + (3 - 17) + 0)) + -11?
-8
What is the value of -65 + 80 + (4 - -15)?
34
What is (2605 - 2660) + 0 + 34 + 6?
-15
-35 - ((-8 - (14 - 11) - 0) + 9)
-33
Calculate (8 - -6) + -8 + 4 + 23 + (44 - 42).
35
What is 0 + (20 - -9) + (-45 - (-8 - 25))?
17
What is the value of 1 + (1 - -5 - 14) + -2 - -52?
43
Calculate -945 - -991 - (0 - -85).
-39
What is the value of (1 - 30) + 7 + -35 + 5?
-52
What is the value of (-20 - -20) + (1 - 2) + -13 + 43?
29
What is 29 + -19 - -10 - 7 - -10?
23
What is the value of -216 + (307 - 91) - (-37 - -1 - 2)?
38
What is the value of (117 - 75) + -127 - -103?
18
What is 2 + 1 + 3 + (-32 - (37 - 85)) + -148?
-126
Evaluate 220 + -205 - (151 + -1 - (16 + -18)).
-137
Calculate (-12 - (-2 - 59)) + -59.
-10
Evaluate -34 + (40 - (7 - 2)) + -14.
-13
-29 + -3 + -36 + 44
-24
-41 - (-1 + 2 - (-236 + 255 + -2 + -8))
-33
Calculate -101 - -223 - (5 + 45).
72
What is the value of (-10 - 1) + (-10 - -48 - 21) + -85?
-79
What is the value of (239 - 200) + -147 - ((-4 - -3) + 4 - -4)?
-115
What is (-58 - -75) + -3 + 4 - (7 + 1)?
10
-18 - -1 - ((110 - 148) + -99)
120
52 + (7 - 2) + -9 - (-28 - -19) - 1
56
What is the value of 0 + (21 - -9) - (-39 - -11 - -30)?
28
3 + 33 + (-20 - -56) + 23
95
Calculate 8 + (6 - (5 + 64 + -8)) - (1 - -5).
-53
What is (2 - (1 + 6)) + 6 - (-208 - -182)?
27
Calculate (-71 - -132) + -68 - (-34 + -1 - 1).
29
Evaluate 42 + (31 - 49) + -134 + 26.
-84
Calculate -38 - 0 - -1 - (-28 + 30 + 4 + -2).
-41
Calculate 23 - (12 - 18) - 1 - (-4 - -8).
24
Eval
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from {s: 3, v: 5, w: 1}. Give prob of sequence vws.
5/168
What is prob of sequence iss when three letters picked without replacement from {i: 6, s: 4}?
1/10
Calculate prob of sequence cxc when three letters picked without replacement from {c: 3, x: 4}.
4/35
Two letters picked without replacement from kppkspskssksskspps. Give prob of sequence pp.
10/153
Calculate prob of sequence fnxf when four letters picked without replacement from ffwnffnwnnnnxn.
1/286
What is prob of sequence qjtt when four letters picked without replacement from {j: 4, q: 1, t: 2}?
1/105
Calculate prob of sequence vrvy when four letters picked without replacement from {y: 3, v: 1, e: 7, s: 7, r: 1}.
0
What is prob of sequence tttt when four letters picked without replacement from {t: 9}?
1
Calculate prob of sequence se when two letters picked without replacement from {b: 4, e: 3, m: 2, d: 3, s: 3, a: 1}.
3/80
Two letters picked without replacement from wwwwwwwwwwwwwwwwkwww. Give prob of sequence ww.
9/10
Calculate prob of sequence ett when three letters picked without replacement from {t: 9, e: 5}.
15/91
Four letters picked without replacement from rhrhrhrrrhr. Give prob of sequence rrrr.
7/66
Four letters picked without replacement from {g: 9, u: 9, x: 1}. What is prob of sequence xgug?
9/1292
Four letters picked without replacement from {h: 2, r: 2, a: 1}. What is prob of sequence arra?
0
Calculate prob of sequence qll when three letters picked without replacement from {q: 5, l: 7}.
7/44
Calculate prob of sequence pi when two letters picked without replacement from {d: 6, v: 4, i: 4, p: 3}.
3/68
Calculate prob of sequence yby when three letters picked without replacement from {y: 2, n: 5, b: 2}.
1/126
Three letters picked without replacement from tctftcw. What is prob of sequence ctw?
1/35
Two letters picked without replacement from {n: 2, k: 3, i: 7}. Give prob of sequence ni.
7/66
Calculate prob of sequence mppm when four letters picked without replacement from {z: 1, p: 3, m: 6, b: 8}.
1/408
Calculate prob of sequence ttxx when four letters picked without replacement from {f: 2, v: 2, i: 1, t: 3, x: 4}.
1/165
What is prob of sequence wemj when four letters picked without replacement from mwenjne?
1/420
Three letters picked without replacement from {e: 8, i: 3}. Give prob of sequence eii.
8/165
Two letters picked without replacement from dhhdhyehhehev. What is prob of sequence ey?
1/52
Two letters picked without replacement from {l: 3, k: 3, j: 1, a: 1, v: 6, h: 3}. Give prob of sequence ka.
3/272
Two letters picked without replacement from {b: 2, y: 2, s: 6, k: 1, n: 4}. Give prob of sequence yy.
1/105
Two letters picked without replacement from xzzxzzccxzxxzxzxxz. Give prob of sequence zz.
28/153
Calculate prob of sequence cxqx when four letters picked without replacement from {z: 2, q: 4, e: 1, x: 2, c: 1}.
1/630
Three letters picked without replacement from {e: 1, v: 1, d: 1, p: 2}. What is prob of sequence eve?
0
What is prob of sequence fijj when four letters picked without replacement from jigfffjjjjgigfjjig?
7/1020
Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb.
1
Calculate prob of sequence rxua when four letters picked without replacement from {o: 1, a: 1, x: 1, u: 2, r: 2}.
1/210
Calculate prob of sequence quu when three letters picked without replacement from {s: 3, x: 2, u: 4, v: 2, q: 4, k: 3}.
1/102
Four letters picked without replacement from nfrnursrns. What is prob of sequence nrrf?
1/280
Calculate prob of sequence rvpv when four letters picked without replacement from xpxvpdipvdvpdxvrd.
1/1190
Calculate prob of sequence eo when two letters picked without replacement from {e: 3, n: 4, p: 2, o: 6}.
3/35
Four letters picked without replacement from {u: 4, b: 5, d: 6}. What is prob of sequence bdbu?
4/273
Three letters picked without replacement from {b: 5}. What is prob of sequence bbb?
1
What is prob of sequence tag when three letters picked without replacement from {q: 1, g: 1, o: 1, t: 1, a: 1}?
1/60
Two letters picked without replacement from {q: 3, j: 4, g: 1, l: 2, p: 8, x: 2}. What is prob of sequence lg?
1/190
What is prob of sequence jbkj when four letters picked without replacement from {j: 2, k: 3, b: 3}?
3/280
What is prob of sequence zs when two letters picked without replacement from {d: 1, s: 1, z: 3}?
3/20
What is prob of sequence xx when two letters picked without replacement from {x: 9, w: 2, q: 2, u: 2, j: 5}?
18/95
Three letters picked without replacement from {f: 2, u: 11}. Give prob of sequence fuu.
5/39
Four letters picked without replacement from ddddpddd. Give prob of sequence dddp.
1/8
Two letters picked without replacement from {i: 2, q: 1, o: 7}. Give prob of sequence oo.
7/15
Two letters picked without replacement from {k: 2, a: 16}. What is prob of sequence ka?
16/153
Calculate prob of sequence ic when two letters picked without replacement from {i: 2, c: 9}.
9/55
Three letters picked without replacement from {y: 2, b: 1, f: 3, z: 1, o: 3}. What is prob of sequence ffo?
1/40
Four letters picked without replacement from qqpqqqpqpqqqppqpqqp. What is prob of sequence qqpq?
385/3876
Two letters picked without replacement from {c: 1, v: 4, r: 2, a: 3}. What is prob of sequence rc?
1/45
Calculate prob of sequence uww when three letters picked without replacement from {w: 5, a: 2, u: 4}.
8/99
Two letters picked without replacement from iiioinbeon. Give prob of sequence be.
1/90
What is prob of sequence llk when three letters picked without replacement from qqllqlkl?
1/28
Calculate prob of sequence md when two letters picked without replacement from ymd.
1/6
Calculate prob of sequence bbl when three letters picked without replacement from {b: 2, l: 3}.
1/10
Calculate prob of sequence wnqn when four letters picked without replacement from {k: 3, z: 1, w: 3, n: 2, q: 1}.
1/840
Calculate prob of sequence wuwr when four letters picked without replacement from duwddrddudwudrdd.
1/3640
Calculate prob of sequence zte when three letters picked without replacement from {z: 3, t: 1, v: 2, d: 2, u: 3, e: 1}.
1/440
Calculate prob of sequence xb when two letters picked without replacement from {y: 2, x: 2, b: 1}.
1/10
Four letters picked without replacement from zsssszsssss. What is prob of sequence zsss?
7/55
What is prob of sequence ck when two letters picked without replacement from {z: 1, k: 1, v: 2, c: 5}?
5/72
What is prob of sequence usk when three letters picked without replacement from {s: 11, k: 3, u: 1}?
11/910
Two letters picked without replacement from {y: 4, l: 2, q: 1, t: 2}. What is prob of sequence qy?
1/18
Calculate prob of sequence cjj when three letters picked without replacement from {j: 2, c: 3}.
1/10
What is prob of sequence rrm when three letters picked without replacement from {r: 5, h: 1, t: 2, m: 1}?
5/126
Two letters picked without replacement from nrnapwoawpnpa. Give prob of sequence pn.
3/52
What is prob of sequence qc when two letters picked without replacement from ncqcqccnccccqq?
16/91
Four letters picked without replacement from oooooo. What is prob of sequence oooo?
1
Three letters picked without replacement from xqhxhhxhhhxxkhhxd. Give prob of sequence hkd.
1/510
Calculate prob of sequence id when two letters picked without replacement from idqiqigqiiqgidiid.
3/34
Four letters picked without replacement from rcwtttrwaawkkr. What is prob of sequence tctw?
3/4004
Two letters picked without replacement from wowoojkwojwjkww. Give prob of sequence wo.
4/35
Calculate prob of sequence ui when two letters picked without replacement from {m: 1, q: 1, i: 1, u: 2}.
1/10
Calculate prob of sequence rak when three letters picked without replacement from {a: 4, r: 2, z: 2, e: 3, k: 1}.
1/165
Two letters picked without replacement from {v: 2, h: 2, z: 2, e: 1, p: 1, y: 1}. Give prob of sequence hp.
1/36
Two letters picked without replacement from {i: 1, o: 1, e: 2, u: 3, d: 3}. What is prob of sequence ie?
1/45
What is prob of sequence qlo when three letters picked without replacement from ssoloq?
1/60
Four letters picked without replacement from {p: 1, w: 1, j: 2, x: 1, i: 1, q: 2}. What is prob of sequence jjpi?
1/840
What is prob of sequence oc when two l
|
{
"pile_set_name": "DM Mathematics"
}
|
ber?
False
Let f(k) = k**3 + 4*k**2 - 2*k - 1. Let j be (-2)/9 + (-64)/36. Let w be f(j). Suppose -6*l - 665 = -w*l. Is l composite?
True
Let b(r) = r + 16. Let f be b(-7). Suppose -f = 3*z + 24. Let k = z + 20. Is k composite?
True
Suppose x + 4*n = 67, -5*x - 2*n + 5*n = -243. Suppose -5*l - a + x = 0, 0 = 4*a - 4 - 0. Is l a composite number?
True
Let x(z) = -21*z + 22. Is x(-13) a composite number?
True
Let a = 230 - 72. Is a a composite number?
True
Let l = -454 + 935. Is l composite?
True
Let y(p) = -5*p**3 - p**2 + p - 2. Let o(l) = 11*l**3 + l**2 - 2*l + 3. Let j(v) = 4*o(v) + 9*y(v). Let g be j(-5). Let s = g + 94. Is s prime?
True
Suppose 93 - 21 = -4*s. Let z = s + 55. Is z a composite number?
False
Let y(t) = 45*t + 3. Let c be y(3). Let i = c - 59. Is i a composite number?
False
Let h be -3 + (246 - 1 - 0). Let l = h + -99. Is l a composite number?
True
Let p(u) = 3*u**2 + 9. Let t be p(5). Suppose -2*m = -20 - 74. Let i = t - m. Is i prime?
True
Suppose -s + y = 4*y + 12, -2*s = 3*y + 27. Let c = s - -68. Is c prime?
True
Suppose -4 = -p + 2*p. Let a(k) = k**3 + 4*k**2 - 2*k - 1. Let q be a(p). Is 300/q - 5/(-35) prime?
True
Suppose -6*g + 15*g - 11871 = 0. Is g prime?
True
Let q = 4 - 1. Is -26*(q/(-2) - 2) prime?
False
Let c(m) = 2*m**3 + 3*m**2 - 1. Let f(d) = -5*d**3 - 8*d**2 + 3. Let v(j) = 11*c(j) + 4*f(j). Let g be v(-3). Let u = g + 66. Is u prime?
False
Suppose -u - 12 = -k, -5*k + 15 = -3*u - 25. Let l be (2/3)/(u/(-135)). Let h(c) = -c**3 + 12*c**2 - c + 3. Is h(l) composite?
True
Let m(b) = 32*b - 5. Is m(3) prime?
False
Suppose 4*j - 1266 = 1322. Is j a prime number?
True
Let t(h) be the third derivative of h**6/60 - 7*h**5/60 + h**4/8 + 5*h**3/6 - 6*h**2. Is t(6) composite?
True
Is 8/12*33/1 a composite number?
True
Suppose 4*h + 5*n = 4*n - 96, -5*n = 0. Let f = 11 - h. Is f a composite number?
True
Suppose 5*m - 5 = 10. Suppose m*z - 176 = z. Suppose -8*a + z = -4*a. Is a composite?
True
Let k(s) = -s**3 - 9*s**2 - s - 4. Let i be k(-9). Suppose 0 = i*n + 17 - 117. Is 12/n + (-484)/(-10) a prime number?
False
Suppose v + 2*v + 6 = 2*h, 2*h = 2*v + 4. Suppose -3*s - 268 = -5*b + s, 200 = 4*b + 4*s. Suppose h = -5*c + b + 3. Is c a prime number?
True
Suppose -13*s + 395 = -8*s. Is s composite?
False
Is (-2912)/(-5) - -5 - 2/5 a composite number?
False
Let m(d) = 21*d - 16. Is m(15) a prime number?
False
Let a(w) = -2*w + 4. Let i be a(3). Is 6*43/2 + i composite?
False
Let q be (-16)/6*9/4. Let x = 45 + q. Is x composite?
True
Is ((-3908)/16)/(4/(-16)) composite?
False
Let n be 4514/3 + (-2)/(-6). Suppose 6*g - g = n. Is g composite?
True
Let z(x) = -x - 10. Let a be z(-10). Let t = a - -30. Let r = t + 19. Is r a composite number?
True
Suppose 0 = -2*l + 5*l - 27. Suppose -r + 14 = -l. Is r prime?
True
Let p = 184 + 145. Is p a composite number?
True
Let z(m) = -20*m**2 + 3. Let h(k) = k**2 + k - 1. Let p(a) = -2*h(a) - z(a). Let w be (1/2 + 0)*-2. Is p(w) prime?
True
Is (3 - 1 - (-9 - -12))*-673 a prime number?
True
Is -1*(-632 - (-6 + 3)) composite?
True
Suppose -4*s = 4*g + 36, 6*s - 4*s - 4*g - 6 = 0. Is (-167)/(-2) + s/10 prime?
True
Let c be (-1)/2*(-395 - -1). Suppose -2 + c = 3*o. Let p = -28 + o. Is p a prime number?
True
Let n(i) = -i**2 + 6*i - 3. Let w = -11 - -16. Let t be n(w). Is -1 - 52/t*-5 composite?
True
Suppose -s + 2*t - 357 = -6*s, -143 = -2*s - t. Is s a prime number?
True
Let i(j) = -j - 4. Suppose d + 24 = -3*g, -g + 21 = -3*g + d. Let p be i(g). Suppose p*x = 5*m + 105, -x - 4*x = -2*m - 105. Is x a composite number?
True
Let b(n) = 9*n**3 - 4*n**2 + n + 12. Is b(5) a composite number?
True
Let x(f) = 20*f**3 - 4*f + 3. Is x(2) composite?
True
Let t(j) = -2*j**3 - 9*j**2 - 4*j + 11. Is t(-8) composite?
False
Let l(y) be the first derivative of 101*y**4/2 - y**3/3 + 3. Is l(1) composite?
True
Suppose -t - 4*f = -9*f - 526, 1091 = 2*t + 3*f. Is t a composite number?
False
Let h = -131 + 45. Let n = -52 - h. Is n composite?
True
Let l(t) = -t**3 + t**2 + t + 862. Let g be l(0). Let v be g/(-2 + (-2 - -6)). Let j = -208 + v. Is j a composite number?
False
Let l(s) = -s**3 + s**2 + s - 122. Let v be l(0). Let n = 609 + v. Is n prime?
True
Suppose -5*o = -o. Suppose z + b = o, z - 4 - 11 = 4*b. Suppose 0 = -z*w + w + 318. Is w a composite number?
True
Let q(z) = -14 - 4*z + 3 + 6*z + 3*z + 4*z**2. Is q(6) a prime number?
True
Suppose 0 = b - 5*w - 30, -2*w = 4*b + 3*w + 5. Let y(t) = 2*t + 5. Is y(b) a prime number?
False
Suppose -4*f = -k - 1113, -3*f + 3*k + 1263 = 426. Let q = f - 9. Is q prime?
True
Suppose 5*d = 7*d - 38. Is d a composite number?
False
Let z(p) = -3*p**2 - 3*p - 10. Let s be z(-5). Is (19/2)/((-5)/s) prime?
False
Let h(t) = t**2 + t + 1. Let s be h(-2). Suppose 640 = 7*f - 2*f + s*o, f = 3*o + 146. Is f composite?
False
Let q = 4588 + -1677. Is q a prime number?
False
Is ((-1)/(1600/1604 - 1))/1 prime?
True
Let k(t) = 2*t**2 + 3*t + 509. Let c be k(0). Let s be (1 - 354/(-2)) + -1. Suppose -4*v - s + c = 0. Is v a prime number?
True
Let r = -882 - -1325. Is r a prime number?
True
Is (-1)/(3/(-44)) - (-3)/9 a prime number?
False
Let r(c) = c**2 - c + 263. Is r(0) a prime number?
True
Let k(i) = i**3 - 4*i**2 - 4*i - 2. Let r be k(5). Suppose -s = -4*c - 77, -r*s - 95 = -4*s - 2*c. Is s a composite number?
False
Suppose 12*m - 18161 = m. Is m composite?
True
Suppose -l + 2*l + 19 = 0. Let y = 29 + l. Is y composite?
True
Let b(j) = j - 4*j + 3*j**3 - 2*j**3 + 1. Is b(3) a prime number?
True
Suppose 6340 + 5668 = 8*d. Is d a prime number?
False
Let g(v) = -v - 2. Let h be g(-5). Suppose 8*a - 130 = -450. Is (-2)/h - a/6 composite?
True
Suppose 0 = -2*m + s - 18, -3*m - 4*s + 2 = -4*m. Is (-18)/30 + (-1426)/m a composite number?
True
Let l(t) = -t**2 + t + 149. Is l(0) a composite number?
False
Let h(i) = 4*i**2 - i - 17. Let s be h(9). Suppose -2*a = -3*l + 194, 5*l + 3*a - s = -0*l. Is l a prime number?
False
Suppose 3*d = d + 5*h - 9, 2*h + 14 = 3*d. Let f(t) = t**2 - 7*t - 9. Let z be f(d). Let c(i) = -76*i**3 + i**2 - i - 1. Is c(z) a prime number?
False
Let c(j) = -j**2 + 6*j - 5. Let d be c(5). Suppose 5*x = -5*t + 80, -3*x + d*x = 5*t - 80. Suppose 3*n - v + 4 = 30, -4*v + t = 0. Is n composite?
True
Suppose -14 = -w + 3*t, -5*w - t - 2*t = 2. Suppose 3*m - 16 = -7. Suppose -3*a = -5*p - 154, w = -p + m. Is a prime?
True
Let n = 228 + 185. Is n a prime number?
False
Let p = 13 - 11. Suppose 0 = -p*h - 2*h - 280. Is h/20*1*-46 a composite number?
True
Suppose -136*m + 135*m = -4441. Is m a prime number?
True
Let z(s) = -s. Let g be z(-6). Let t = 10 - g. Suppose 3*o = t*o - 26. Is o prime?
False
Let t be 1*-9*(-16)/12. Is (-3)/2*(-184)/t a prime number?
True
Let h(u) = 3*u - 11. Let z be h(9). Is z/(-6)*(-189)/36 prime?
False
Suppose 3*d = 4*d - 187. Is d a composite number?
True
Is ((-4)/(-6))/((-2)/(-255)) a composite number?
True
Suppose 0*u = u - 47. Is u a composite number?
False
Let c = -241 - -1718. Is c prime?
False
Suppose 5*b - 4*k + 3*k = 1596, 0 = -b - 5*k + 340. Suppose 5*a - b = 315. Is a composite?
False
Let d(b) = -b**3 + 5*b**2 + 2. Let z be d(5). Suppose -y - 3 = -z*y. Is y - (0 - 2) - 2 a prime number?
True
Let f = -1 - -4. Suppose 5*b + 197 = -z + 786, 3*b = -f*z + 351. Is b composite?
True
Let u = -1 + 1. Suppose -2*f + u*f + 4 = 3*t, -4*f + t + 8 = 0. Suppose 0 = f*g - 5 - 9. Is g a prime number?
True
Let y(s) = 11*s**2 - 3*s + 3. Is y(-4) composite?
False
Let m(g) = -60*g**3 - 2*g + 3. Is m(-2) prime?
True
Suppose 4*f + 0*f = 932. Let y = f + -142. Is y composite?
True
Let u(b) = -b**2 + 3*b - 3. Let j be u(3). Let g be (2/(-1))/(j/6). Suppose -5*f = 5, 3*n - 140 = -g*f - 51. Is n composite?
False
Suppose 4*k - 2 - 54 = 0. Let l = k + -32. Is (-4)/l + (-950)/(-18) a prime number?
True
Suppose 0*r + r + 3013 = -3*y, -y + r = 1011. Let z = y - -1491. Suppose 0*d = 5*d - z. Is d a composite number?
False
Suppose 5 = 2*d - 5. Suppose 0 = -0*a + d*a. Suppose a = -2*p + 9 + 9. Is p a composite number?
True
Let x(p) = -25*p + 140. Is x(-33) a prime number?
False
Let o(j) = -5*j**2 - 3. Let v(m) = 3*m**2 + 2. Let a(t) = 5*o(t) + 8*v(t). Let z be a(-1). Suppose -3*i + 258 - 21 = z. Is i composite?
False
Let j = -116 + 605. Is j composite?
True
Let t be
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the highest common factor of 68 and 402310712.
68
What is the greatest common factor of 91443160 and 3056?
1528
Calculate the highest common divisor of 12965698 and 3382.
178
What is the highest common divisor of 62574208 and 384?
128
Calculate the highest common divisor of 6392 and 9212.
188
Calculate the highest common divisor of 3927 and 160197681.
357
Calculate the highest common factor of 1080 and 55400130.
90
What is the highest common factor of 210 and 8127390?
30
What is the greatest common factor of 146905 and 880?
55
What is the highest common factor of 11906118 and 22050?
882
Calculate the greatest common divisor of 8671 and 8103383.
667
What is the greatest common divisor of 4282221 and 3?
3
Calculate the highest common factor of 283112 and 1634344.
344
Calculate the greatest common factor of 68128062 and 12.
6
What is the greatest common divisor of 2566612 and 1010?
202
What is the greatest common factor of 3528 and 11688876?
36
What is the greatest common divisor of 2681265 and 41495?
215
Calculate the highest common factor of 21841901 and 3578.
1789
Calculate the highest common divisor of 2100973532 and 4228.
4228
Calculate the highest common factor of 36992 and 688.
16
What is the highest common divisor of 314503 and 54467?
1757
Calculate the greatest common divisor of 310367 and 360431.
149
What is the highest common factor of 44688 and 71443344?
6384
Calculate the greatest common divisor of 533900 and 2720.
20
What is the greatest common factor of 171864 and 565936?
1736
Calculate the highest common divisor of 33907 and 35137.
41
Calculate the highest common factor of 42907 and 23005.
107
Calculate the greatest common divisor of 177 and 2811.
3
Calculate the greatest common divisor of 128490 and 23880.
30
Calculate the highest common divisor of 243 and 26556093.
81
What is the greatest common divisor of 375809134 and 1461?
487
What is the highest common factor of 5365 and 2040295?
145
What is the highest common divisor of 4571190 and 5310?
90
What is the highest common divisor of 434 and 326719106?
434
What is the highest common factor of 1653828 and 25728?
804
What is the highest common divisor of 353620894 and 133?
19
Calculate the highest common factor of 263228260 and 536.
268
What is the highest common divisor of 787560 and 13230?
30
Calculate the highest common factor of 74242 and 53438.
14
What is the highest common divisor of 2507756 and 4454672?
8012
What is the greatest common divisor of 504 and 3041388?
252
What is the greatest common factor of 1488480 and 41370?
210
What is the greatest common factor of 113260957 and 13908?
1159
What is the highest common divisor of 63 and 235247679?
9
What is the greatest common factor of 84 and 297008264?
28
What is the highest common divisor of 33855625 and 30625?
625
What is the highest common divisor of 1024 and 6189312?
256
What is the greatest common factor of 6432336 and 3952?
304
Calculate the greatest common factor of 1908 and 444492927.
477
What is the greatest common factor of 1890 and 23694984?
54
Calculate the greatest common divisor of 1088 and 296992448.
1088
Calculate the highest common factor of 39 and 15725242.
13
Calculate the highest common factor of 137821926 and 858.
66
Calculate the highest common divisor of 331255 and 113878.
97
What is the highest common divisor of 1872 and 3256968?
312
What is the highest common factor of 59711 and 34861?
71
Calculate the greatest common factor of 898662624 and 1468.
1468
Calculate the greatest common divisor of 2340 and 116561640.
780
Calculate the highest common factor of 3277781 and 133151.
2833
What is the highest common factor of 714 and 255495142?
238
What is the greatest common divisor of 385548614 and 1034?
1034
Calculate the greatest common divisor of 1305 and 6644160.
45
Calculate the highest common divisor of 167300 and 14420.
140
Calculate the greatest common factor of 14 and 650545.
7
Calculate the highest common divisor of 57 and 18246441.
57
Calculate the greatest common divisor of 1380 and 42646.
2
Calculate the greatest common factor of 3320 and 449658808.
664
Calculate the greatest common divisor of 9747096 and 492875.
3943
Calculate the greatest common factor of 217909115 and 4175.
835
Calculate the greatest common divisor of 553 and 17079247.
79
Calculate the highest common divisor of 1654507 and 1812.
151
Calculate the greatest common divisor of 21146 and 5123.
109
What is the highest common factor of 5060 and 31944700?
460
Calculate the highest common divisor of 97331560 and 160.
40
What is the greatest common factor of 1223754 and 5103?
21
Calculate the highest common divisor of 835408 and 3108.
28
What is the highest common divisor of 17429 and 7465021?
601
What is the greatest common factor of 16 and 828516176?
16
What is the greatest common divisor of 10897 and 81821?
17
Calculate the greatest common divisor of 971844 and 23616.
12
What is the highest common factor of 233 and 82454739?
233
Calculate the highest common factor of 2982172 and 172.
4
What is the greatest common divisor of 152977669 and 897?
299
Calculate the greatest common factor of 38 and 681278.
2
What is the greatest common factor of 2541 and 16803402?
231
What is the greatest common divisor of 5089358 and 1088?
34
Calculate the greatest common divisor of 406 and 7068257.
203
Calculate the greatest common divisor of 2283 and 70076685.
2283
Calculate the highest common factor of 2076 and 243777933.
519
Calculate the greatest common divisor of 88 and 19627157.
11
Calculate the highest common divisor of 32 and 26528800.
32
What is the highest common divisor of 5471 and 106?
1
Calculate the highest common factor of 190 and 247555978.
38
Calculate the highest common factor of 109071385 and 5.
5
What is the highest common divisor of 9 and 92181066?
3
What is the highest common factor of 4704 and 69482?
98
Calculate the highest common factor of 60929 and 90277.
319
Calculate the highest common divisor of 133 and 24316048.
19
Calculate the greatest common divisor of 74945772 and 90.
18
Calculate the highest common factor of 29081 and 13247.
13
Calculate the highest common factor of 6416 and 15335042.
802
What is the greatest common divisor of 48 and 3102012?
12
What is the greatest common factor of 49 and 16160249?
49
Calculate the greatest common factor of 5364900 and 12825.
675
Calculate the greatest common divisor of 65611296 and 302940.
5508
What is the highest common divisor of 1369149 and 2438?
53
What is the highest common factor of 212332626 and 36?
18
Calculate the highest common divisor of 185 and 594460.
5
What is the highest common factor of 3519 and 858381?
51
What is the highest common factor of 30 and 8545245?
15
What is the highest common divisor of 28 and 911108?
4
Calculate the greatest common divisor of 29224 and 3645413.
281
Calculate the greatest common factor of 120594 and 3726474.
1194
Calculate the greatest common factor of 22282207 and 106.
53
Calculate the highest common divisor of 55149 and 555675.
93
What is the greatest common divisor of 14194 and 3852010?
302
What is the greatest common factor of 304366040 and 1320?
440
What is the highest common factor of 128 and 42434592?
32
What is the greatest common factor of 8740 and 391780?
380
Calculate the highest common divisor of 16210 and 1915.
5
What is the highest common factor of 58 and 26125752?
58
Calculate the greatest common factor of 1877504 and 228.
76
What is the highest common divisor of 3332 and 10676918?
238
Calculate the greatest common factor of 795951 and 949.
13
Calculate the highest common divisor of 10980 and 69480.
180
What is the greatest common factor of 4202 and 15861786?
382
What is the highest common factor of 172 and 389266444?
172
Calculate the greatest common factor of 41995424 and 46.
46
Calculate the highest common factor of 2378331 and 64962.
3609
Calculate the highest common factor of 2211 and 1118062.
11
Calculate the greatest common divisor of 475937329 and 21.
7
What is the highest common factor of 29746 and 734?
2
What is the highest common factor of 22 and 682054?
2
What is the greatest common factor of 56903 and 20867?
77
Calculate the greatest common divisor of 350446 and 1372466.
274
Calculate the greatest c
|
{
"pile_set_name": "DM Mathematics"
}
|
19*y**4/4 - 626*y**3/3 + 1792. Find the third derivative of m(h) wrt h.
-2514
Let o(c) be the third derivative of -8*c**6/5 + 101*c**5/60 - 25*c**2. Find the third derivative of o(z) wrt z.
-1152
Let h(l) be the third derivative of -221*l**2 - 167/60*l**5 + 0*l**3 + 0*l**4 + 0 + 53/20*l**6 + 0*l. Find the third derivative of h(i) wrt i.
1908
Let w(t) be the third derivative of -581*t**5/60 - 1073*t**3/6 - 425*t**2 - 2*t. What is the derivative of w(y) wrt y?
-1162*y
What is the third derivative of 2526*y**2 - 97*y**3 + 322*y**3 - 1355*y**3 - 860*y**3 wrt y?
-11940
Let w be 7 + -3 + (-2 - -4)/2. Suppose -a = 5*d - w, -2*a + 1 = -4*d - 9. Find the third derivative of -3*i**2 + 569*i**a - 553*i**5 - 4*i**2 wrt i.
960*i**2
Let t(p) be the second derivative of -1/6*p**3 + 0*p**2 + 0*p**5 - 7/30*p**6 - 25/4*p**4 + 0 - 90*p. Find the third derivative of t(m) wrt m.
-168*m
What is the second derivative of -31*y + 3*y**4 - 841*y**3 - 99*y + 6703 - 6708 - 187*y wrt y?
36*y**2 - 5046*y
Let i(b) be the first derivative of -7893*b**5/5 + 14*b**3/3 - 27*b**2/2 + 6*b - 14771. Find the third derivative of i(p) wrt p.
-189432*p
Let x be (-4)/10*(1 + -50 + -1). Suppose 6 = -4*l + 38. What is the first derivative of 1 + l*w - w - x*w wrt w?
-13
Find the third derivative of -3922*x**3 + 2*x - 29 - 3*x**2 - 491*x**3 + 5*x**2 wrt x.
-26478
Let a(x) = 104*x**3 + 1417*x - 36. Let g(c) = -2*c - 6. Let n(m) = a(m) - 6*g(m). Find the second derivative of n(o) wrt o.
624*o
Suppose -2*m = 4*f - 18, 6*f - m + 6 = 7*f. Suppose -2*d = 3*y - 311, 6*y = 2*y - 3*d + 413. Differentiate 4 - 108*a**3 + y*a**f + 15 wrt a.
-3*a**2
Suppose 2*h = 5*h - 5*i - 192, -2*i + 282 = 4*h. What is the second derivative of -21 - h*v**2 + 48 - 27 + 28*v wrt v?
-138
Let y(u) = -983*u**2 - 1001*u + 9. Let o(n) = n**2 + 2*n - 3. Let r(j) = -3*o(j) - y(j). What is the second derivative of r(m) wrt m?
1960
Let v(s) be the second derivative of 599*s**5/2 + s**4/12 - 5939*s**3/6 - 40*s - 56. Find the third derivative of v(x) wrt x.
35940
Let o(i) = -1361*i**4 + 6*i**3 - 3*i + 101. Let c(v) = 6804*v**4 - 28*v**3 + 14*v - 504. Let y(u) = -3*c(u) - 14*o(u). Differentiate y(s) wrt s.
-5432*s**3
Find the second derivative of -243 + 2*d - 1037*d**2 + 429 - 103*d**2 - 386*d**2 wrt d.
-3052
Let d(z) be the third derivative of -422*z**7/105 + 2*z**4 + 2*z**3 - 67*z**2 + 1. Find the second derivative of d(u) wrt u.
-10128*u**2
Let v = 70 - 40. Differentiate 610*t + 294 - v*t - 230*t - 188*t with respect to t.
162
Suppose 0 = o - 4*s - 24, -13*s + 170 = 5*o - 8*s. Find the third derivative of 35*a**4 + a**5 - 35*a**4 - 5*a**3 - o*a**2 - 23*a**2 wrt a.
60*a**2 - 30
Suppose -66*y + 359 = -537 - 820. Suppose -5*k - 5 + 19 = 3*w, 5*k = w + 2. Find the second derivative of 298*m - 295*m + w*m**3 + y*m**3 wrt m.
174*m
What is the third derivative of -1614*k**3 + 368*k**2 + 186*k**2 + 9303*k - 9303*k wrt k?
-9684
Let s(d) = d + 17. Let u be s(-8). Let v be (u + -11)*(2 - 18/4). What is the second derivative of -6 + 8 - 21*q**v - 2 + 25*q wrt q?
-420*q**3
What is the third derivative of 50 + a**5 + 4*a**5 - 320*a**4 - 48 - 525*a**2 - 7*a**5 - a**5 wrt a?
-180*a**2 - 7680*a
Find the first derivative of 52112 + 98*h**2 - 51868 - 1077*h**2 wrt h.
-1958*h
Let q(a) be the second derivative of 127*a**6/15 + 527*a**2/2 - 28*a - 24. What is the first derivative of q(c) wrt c?
1016*c**3
Let k(n) be the first derivative of 0*n**3 + 99 + 17/4*n**4 + 9*n**2 + n. What is the second derivative of k(z) wrt z?
102*z
Find the third derivative of 15192*w**3 - 8514*w**3 - 3170*w**2 - 12187*w**3 wrt w.
-33054
Suppose -4*p + 16 = -0*p, -5*c + 57 = -2*p. Let f = 2 + c. Find the second derivative of f*n + 13*n - 5*n + 2*n + 2*n**3 wrt n.
12*n
Let s(z) = 8*z**2 - 4*z. Let a be s(1). Suppose -p = d + a*p - 25, -4*p + 21 = d. What is the first derivative of 17 + 684*c - 684*c - d*c**3 wrt c?
-15*c**2
Suppose -7*h = -3*h - 144. Suppose -5*d = -4*z - 4, 3*z + 8 = -4*d + h. What is the second derivative of -7*t - 4*t + 348*t**4 + 7*t**5 - 348*t**z wrt t?
140*t**3
Let b(n) be the second derivative of -n**7/3 - 5*n**4/12 + n**3 - 43*n**2/2 + 1020*n. Find the second derivative of b(c) wrt c.
-280*c**3 - 10
Let o = -499 + 502. Let v be 3*5/((-15)/(-2)). Find the second derivative of -14*m**4 + 7*m**4 - 2*m**4 - v*m + o*m wrt m.
-108*m**2
Let l(x) be the second derivative of -7*x**6/10 + 139*x**3/6 + 181*x. Find the second derivative of l(i) wrt i.
-252*i**2
Let j(g) = -g**2 - 5*g + 6. Let t be j(-4). Suppose -21 = -t*r + 3*r. What is the third derivative of 4*z**r + 16*z**2 - 4*z**3 + 2*z**5 wrt z?
120*z**2
Let o(l) = -6*l. Let v be o(7). Let k = -40 - v. Find the second derivative of -a**k - 2*a + 17*a**2 + a - 2*a wrt a.
32
Let f(g) = -16*g - 34. Let p(i) = 11*i + 22. Suppose -12*a + 57 = -3. Let k(v) = a*f(v) + 7*p(v). Find the first derivative of k(z) wrt z.
-3
Let d = 11 - 10. Let w be (10*(d + 1/(-2)))/1. Find the third derivative of -6*z**2 + 27*z**3 - w*z**2 - 8*z + 8*z wrt z.
162
Let n be ((-105)/(-5))/(12/4). Find the first derivative of 8*x**2 + 8*x**2 - 75 + n*x**2 - 20*x**2 - 8*x wrt x.
6*x - 8
Differentiate -4245*q - 253*q - 215 + 163 - 258 + 151*q wrt q.
-4347
Differentiate -702*n + 5281 + 226 - 237 + 4286 - 4395*n wrt n.
-5097
Let u(y) be the third derivative of y**7/105 + 1019*y**6/120 - 7687*y**3/6 + 326*y**2 + 5. Differentiate u(q) with respect to q.
8*q**3 + 3057*q**2
Let c(j) = 35*j**3 + 28*j**2 + 2*j - 1600. Let b(o) = -37*o**3 - 28*o**2 - o + 1594. Let v(p) = -4*b(p) - 3*c(p). What is the second derivative of v(u) wrt u?
258*u + 56
Let p(u) be the first derivative of 299*u**6/6 + u**4/2 - 10*u**3 + u - 346. Find the third derivative of p(f) wrt f.
17940*f**2 + 12
Let w(u) = -54*u**3 + 5*u**2 - 6*u - 1823. Let x(i) = 26*i**3 - 2*i**2 + 2*i + 910. Let n(v) = -2*w(v) - 5*x(v). What is the first derivative of n(y) wrt y?
-66*y**2 + 2
Let x(s) be the third derivative of 103*s**6/60 + s**4/8 + 2*s**3/3 - 691*s**2. What is the second derivative of x(k) wrt k?
1236*k
Let n(c) be the second derivative of 36*c**2 + c + 14 + 0*c**4 + 1/4*c**5 - 3/2*c**3. Find the first derivative of n(s) wrt s.
15*s**2 - 9
Let h(b) = -7*b - 48. Let k be h(-7). What is the second derivative of -44*x - 3 - 4352*x**3 + 14*x**2 + k + 4357*x**3 wrt x?
30*x + 28
Let v be 104/(-13)*(-3)/2. Find the second derivative of -1 + 3*g - 639*g**2 + g + 681*g**2 - v wrt g.
84
Let m(y) = 326*y**2 + 81. Let b(c) = 3261*c**2 + 824. Let i(j) = -2*b(j) + 21*m(j). What is the derivative of i(g) wrt g?
648*g
Differentiate -1566 - 1533 - 579*x**2 + 2736 with respect to x.
-1158*x
Find the second derivative of -2279*f - 858*f**5 - 2453*f**5 - 2609*f**5 - 2573*f wrt f.
-118400*f**3
Suppose 16 = 4*k + 2*h + 4, -3*h + 8 = k. Suppose 5 = k*o - 7. Find the third derivative of 15*p**6 + 10*p**6 - 10*p**o + 11*p**2 wrt p.
1800*p**3
Let i(g) be the second derivative of 0*g**2 + 7/20*g**5 - 18*g + 0 - 1/6*g**4 + 10/3*g**3. What is the third derivative of i(u) wrt u?
42
Let m be 52/6 - (-9)/27. Let l be 4/(-6)*(6 - m). What is the third derivative of -8*u**l + 14*u**6 + 30*u**2 + 0*u**6 wrt u?
1680*u**3
Let f(z) be the first derivative of -833*z**2/2 - 3346*z - 976. What is the derivative of f(o) wrt o?
-833
Suppose -2*q = -5*h + 1872, 3*h - 5*q - 1126 = -q. What is the derivative of -8*w**4 + 69 + h*w**2 + 19*w**4 - 374*w**2 wrt w?
44*w**3
Find the first derivative of -1848*f**3 - 9767 - 1868*f**3 + 313*f**3 - 391*f**3 + 391*f**3 wrt f.
-10209*f**2
Let f = 939 + -935. Let t(p) = -22*p**2 + 3*p. Let i(r) = r - 7. Let n(g) = f*i(g) - 2*t(g). What is the second derivative of n(z) wrt z?
88
Let x(y) be the second derivative of 5*y**4/4 + 7*y**3/3 - 104*y**2 - 1222*y. What is the derivative of x(l) wrt l?
30*l + 14
Find the second derivative of 7471*t**2 - 1338*t**2 - 5498*t**2 - 1277*t - 2562*t**2 - 3624*t**2 wrt t.
-11102
Find the second derivative of 1549*y**4 - 23*y + 0*y + 1820*y**4 - 409*y**4 + 1951*y**4 + 27 wrt y.
58932*y**2
What is the second derivative of -43 - 14*r**2 - 16*r**2 + 3*r - 4*r + 259*r**2 wrt r?
458
Suppose 5*z - 18 = -3*n, -5*n + 25 - 8 = 4*z. Find the third derivative of -102*a**3 - 89*a**2 + 205*a**3 - 74*a**z wrt a.
174
Let r(j) be the first derivative of -47 - 2/5
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{
"pile_set_name": "DM Mathematics"
}
|
2*o - 2. Let d be (144/45)/((-2)/(-20)). Let u = d - 33. Let f(r) = -r. What is u*f(l) + n(l)?
3*l - 2
Let v(d) = 15*d**2 - 4*d - 12. Let p(r) = -7*r**2 + 2*r + 7. Give 13*p(k) + 6*v(k).
-k**2 + 2*k + 19
Let v(r) = 55*r**2 - 44*r + 44. Let g(y) = -y**2 + y - 1. Let i(l) = l**3 + 12*l**2 + 13*l - 26. Let z be i(-10). Calculate z*g(m) + v(m).
11*m**2
Let y(s) = -3*s**3 + 7*s**2 - 2*s + 2. Let q(l) = -9*l**2 + 31*l - 9. Let o(n) = -5*n**2 + 17*n - 5. Let p(i) = -11*o(i) + 6*q(i). Calculate 2*p(g) - y(g).
3*g**3 - 5*g**2
Let h(q) = -198*q - 11. Let c(s) = -98*s - 6. What is -11*c(m) + 6*h(m)?
-110*m
Let h(r) = 2*r**3 + 1 - 2*r**3 + r + r**3. Let j(b) = -8 + 2*b**3 - 13 - 4 - 22*b**3 - 25*b. Calculate -25*h(y) - j(y).
-5*y**3
Let q(i) = 5*i**2 + i. Let t(d) = -9*d**2 + 3*d + 2. What is -4*q(r) + t(r)?
-29*r**2 - r + 2
Let r(n) = -3*n**3 + 7*n**2 - 13*n - 5. Let d(i) = 3*i**3 - 6*i**2 + 11*i + 4. Give 5*d(s) + 4*r(s).
3*s**3 - 2*s**2 + 3*s
Let w = 12 + 2. Suppose -5*v = -3*d + w, -4*v + 3*d - 10 + 0 = 0. Let k(u) = -6*u + 6. Let c(n) = 5*n - 5. Give v*k(a) - 5*c(a).
-a + 1
Let p(a) = 2*a**3. Suppose -3*u + 7*u - 3*c + 13 = 0, 5*u - 5*c + 20 = 0. Let z(s) = 3*s**3. Determine u*z(v) + 3*p(v).
3*v**3
Let q(a) be the second derivative of 2*a + 1/6*a**3 + 0 + 1/20*a**5 + 1/2*a**2 + 0*a**4. Let n(k) = -k**3 - k. What is 5*n(l) + 3*q(l)?
-2*l**3 - 2*l + 3
Let n(f) = f**2 + 7*f. Let m(a) = -a. Let v(s) = s - 1. Let c be v(2). Let h(q) = q - 2. Let y be h(-9). Let z be (-64)/y + (-12)/(-66). Give c*n(j) + z*m(j).
j**2 + j
Let c be (-24)/9 + (-4)/((-60)/(-5)). Let p(r) = -3*r**3 - 3*r**2 - 3*r - 3. Let a(d) = 5*d + 6*d**3 - 2 + 5*d**2 + 7 + 0. Determine c*a(z) - 5*p(z).
-3*z**3
Let u(d) be the first derivative of 51*d**2/2 + 105. Let n(m) = 13*m. Calculate 9*n(a) - 2*u(a).
15*a
Let r(f) = 236*f + 14. Let w(y) = 79*y + 5. Give 5*r(k) - 14*w(k).
74*k
Let v = 3 - 6. Let c(m) = -52 + 21 + 19 - 3*m + 16 + 5*m**2. Let n(p) = 4*p**2 - 2*p + 3. Give v*n(u) + 2*c(u).
-2*u**2 - 1
Let b(y) = -2*y**3 - 6*y**2 - 6*y + 1. Let q(s) = 6*s**3 + 17*s**2 + 17*s - 3. Let r be (56/70)/(10/(-75)). What is r*q(o) - 17*b(o)?
-2*o**3 + 1
Let b(j) = 9*j**2 - 8*j - 3. Let z(i) be the third derivative of 0*i + 0 - 1/6*i**3 + 20*i**2 + 1/20*i**5 - 1/8*i**4. What is 3*b(r) - 8*z(r)?
3*r**2 - 1
Let v(y) = -2*y**2 + 2*y - 1. Let g(j) = 19*j**2 - 11*j + 5. Calculate 4*g(k) + 20*v(k).
36*k**2 - 4*k
Let k(v) = -72*v + 11. Let h(z) = z + 2. What is 6*h(o) - k(o)?
78*o + 1
Let n(a) = -28*a**3 + 5*a**2 - 132*a - 2. Let v(c) = -16*c**3 + 3*c**2 - 66*c - 1. Give 3*n(u) - 5*v(u).
-4*u**3 - 66*u - 1
Suppose -3*s - 10 - 2 = 0. Let c(a) = 48*a - 27. Let k(n) = 11*n. Let i(l) = 10*l - 1. Let w(r) = 4*i(r) - 3*k(r). Let y = 16 + 11. Determine s*c(t) + y*w(t).
-3*t
Let m(w) = 4*w - 3. Let z(o) = 7*o + 0*o - o + 1 - 7*o. Let q(n) = n**2 - 5*n - 1. Let x be q(5). Let f = x + -5. Determine f*z(g) - 2*m(g).
-2*g
Let y be (2/(-8))/(14/56). Let k = 3 - y. Let z(p) = p. Suppose 0 = -3*x - 3. Let i(n) = 6*n + 1. Give k*z(l) + x*i(l).
-2*l - 1
Let k(r) = -2*r**2 - 4*r - 3. Let i(m) = -37283*m**2 + 1 + 0 + 37284*m**2. Give -4*i(t) - k(t).
-2*t**2 + 4*t - 1
Let x(r) = -r**2 + 1. Let w(t) = 6*t**2 - t - 1. Let p be (2/6)/(52/156). Calculate p*w(k) + 3*x(k).
3*k**2 - k + 2
Let j(x) = 13*x - 35. Let t(u) = -9*u - 4. Let v(k) = -k - 7. Let i(y) = t(y) - 3*v(y). Determine -9*i(z) - 4*j(z).
2*z - 13
Suppose -4*w - 25 = -7*x + 4*x, -4*x = w + 11. Let c = w - -5. Let m(s) = -s**3. Let v(a) = -3*a**3. Determine c*v(z) + 7*m(z).
-z**3
Let d(j) = -46*j + 14. Let p(g) = 9*g - 3. Suppose 44*q - 205 = 411. Calculate q*p(o) + 3*d(o).
-12*o
Let z(q) = 6*q - 3. Let p(v) = -11*v + 5. Let s be (-10)/(-25) + 46/10. Suppose -3*y - s*h + 29 = 0, y - 7 + 0 = -h. Let b = 53 + -48. Give b*z(w) + y*p(w).
-3*w
Let m(q) = 3*q**3 - 21*q**2 - q. Let p(k) = 17*k**3 - 104*k**2 - 5*k. Determine -11*m(h) + 2*p(h).
h**3 + 23*h**2 + h
Let u(s) be the second derivative of s**5/15 + s**3/6 + 13*s**2/2 - 4*s. Let c(h) be the first derivative of u(h). Let z(o) = o**2 + 1. Give c(y) - z(y).
3*y**2
Let u(k) = -3*k**2 + 4*k. Let n(i) be the first derivative of 7*i**3/3 - 9*i**2/2 + 66. Calculate -4*n(z) - 9*u(z).
-z**2
Let v(h) = h**3 + h**2 - h - 1. Let a(q) = -9*q - 2*q**2 + 8*q**3 + 7*q + 6*q**2 - 16 + 15. Determine a(f) - 2*v(f).
6*f**3 + 2*f**2 + 1
Let k(p) = p. Let v(y) = y**2 - 85*y. Calculate -4*k(j) - v(j).
-j**2 + 81*j
Let v(g) = -2*g + 3. Let x(l) be the third derivative of l**4/24 - l**3/6 - 26*l**2. Suppose -5*d + 14 = -3*d. Determine d*x(j) + 2*v(j).
3*j - 1
Let t(o) = -12*o**3 + 3*o**2 + 5*o - 4. Let l(f) = -25*f**3 + 5*f**2 + 11*f - 6. Calculate -3*l(k) + 5*t(k).
15*k**3 - 8*k - 2
Let a(i) = -547*i**3 + 12*i**2 + 6*i + 10. Let m(n) = -547*n**3 + 14*n**2 + 7*n + 12. Determine 7*a(f) - 6*m(f).
-547*f**3 - 2
Suppose -51*j + 49*j = -42. Let a(t) = 96*t + 21. Let b(d) = 19*d + 4. Calculate j*b(l) - 4*a(l).
15*l
Let n(t) = -t + 1. Let m(g) be the third derivative of -g**4/8 + g**3/6 + 92*g**2. Determine m(w) - 2*n(w).
-w - 1
Let t(y) = 1. Let f(u) = -1 + 3*u - u - 3 - 3. Give f(g) + 5*t(g).
2*g - 2
Let p(w) = -628*w**2 - 9. Let u(x) = 157*x**2 + 2. Determine -2*p(g) - 9*u(g).
-157*g**2
Let n(o) be the first derivative of o**2 - 2*o - 134. Let g(s) be the third derivative of s**5/60 - 2*s**2. Calculate g(w) + n(w).
w**2 + 2*w - 2
Let c(v) = v**3 + 8*v**2 + 3*v + 0*v - 8 + 4*v. Let t(b) = -11*b - 90. Let k be t(-8). Let f(i) = i**2 + i - 1. Determine k*c(j) + 14*f(j).
-2*j**3 - 2*j**2 + 2
Let u(j) = -j**2 + 2*j. Let y(t) = 34*t**2 - 4*t + 1. Determine -2*u(p) - y(p).
-32*p**2 - 1
Let o(x) = -98*x**2 + 2*x - 3. Let a(f) = f**2 - f + 1. Determine 4*a(k) + o(k).
-94*k**2 - 2*k + 1
Let w(g) be the first derivative of -17*g**3/3 - 5*g**2/2 - 121. Let y(r) = -4*r**2 - r. What is 6*w(i) - 26*y(i)?
2*i**2 - 4*i
Let d(i) be the third derivative of -i**4/24 - i**2. Let w(c) = -15*c - 5. Let h(o) = 9*o + 3. Let n(j) = -3*h(j) - 2*w(j). Determine 10*d(u) + 2*n(u).
-4*u + 2
Let j(o) = o + 1. Let d(k) = k**2 + 2*k + 6. Let t be (-3 + -7)/((-6)/(60/25)). What is t*j(m) - d(m)?
-m**2 + 2*m - 2
Suppose 0 = 2*v + 3*w, -3*w = -2*v - 3*v - 42. Let h = -2 - v. Let b(a) = 5*a**3 - 2*a + 5. Let r(u) = -4*u**3 + 2*u - 4. What is h*r(s) + 3*b(s)?
-s**3 + 2*s - 1
Let r(f) = 8*f - 2. Let d(i) = -i. What is -3*d(m) - r(m)?
-5*m + 2
Let b be 6/(-2)*6/(-9). Let s(x) = -3*x**2 + 1 - 7 + b*x + 3*x - 2*x**3 + x**3. Let p(k) = 2*k**3 + 4*k**2 - 6*k + 7. Determine -3*p(g) - 4*s(g).
-2*g**3 - 2*g + 3
Let a(t) = 6*t + 11. Let g = 631 + -628. Let w(b) be the first derivative of g - 1/2*b**2 - 2*b. Determine -6*a(l) - 34*w(l).
-2*l + 2
Let d = 168 - 164. Let s(a) = -16*a**2 + 4*a + 4. Let c(v) = 16*v**2 - 3*v - 3. Give d*c(r) + 3*s(r).
16*r**2
Let r(x) = 233*x. Let m(u) = -3*u - 1. Determine m(z) + r(z).
230*z - 1
Let c(g) = -2*g**3 + g + 2. Let d(b) = -2*b**3 + b + 3. Let o(i) = -i**2 - 3*i + 31. Let w be o(4). What is w*c(t) - 2*d(t)?
-2*t**3 + t
Let g = 665 + -661. Let u(k) = 2*k + 3. Let l(v) = -v - 1. Calculate g*u(f) + 11*l(f).
-3*f + 1
Suppose -6*q - 1 = -49. Let c(t) = 0 - 5 - 4*t + 1. Let v(h) = 15*h + 11. Let u(b) = 16*b + 11. Let z(f) = 4*u(f) - 5*v(f). Determine q*c(a) - 3*z(a).
a + 1
Suppose -69 = 11*w - 113. Let g(y) = -6*y**3 + 4*y**2 + 4*y - 4. Let r(a) = -5*a**3 + 3*a**2 + 3*a - 3. Give w*r(l) - 3*g(l).
-2*l**3
Let s(x) = 4*x**2 - 6*x - 2. Let d(i) be the second derivative of 3*i**4/4 - 13*i**3/6 - 5*i**2/2 - 22*i. Calculate 3*d(a) - 7*s(a).
-a**2 + 3*a - 1
Suppose -2*m - 7*m + 45 = 0. Let l(r) = -7*r + 2. Let z(u) = -7*u + 2. Give m*l(y) - 4*z(y).
-7*y + 2
Let x(z) = 12*z - 36. Let i(d) = 5*d - 17. Give 5*i(j) - 2*x(j).
j - 13
Let l(y) = -y + 3. Suppose 19*n = 17*n + 10. Let g(b) = -3 - 3 + 3 + 2*b - b. What is n*l(w) + 6*g(w)?
w - 3
Let w(j) be the first derivative of 5*j**4/4 + 15*j - 88. Let r(d) = -2*d**3 - 7. Give 9*r(f) + 4*w(f).
2*f**3 - 3
Let u(d) = -7*d**2 + 4*d - 3. Let c(r) = -15*r**2 + 9*r - 6. Let k(x) = -4*c(x) + 9*u(x). Let s(a) = -1. What is -k(h) + 3*s(h)?
3*h**2
Let y(r) = 7*r - 6*r + 0*r + 1. Let h(k) = k + 1. Give 7*h(j) - 5*y(j).
2*j + 2
Let a(t) = 4*t**3 - 6*t**2 + 6. Let d(z) be the third derivative of -z**6/120 - z**5/60 + z**3/6 - 3*z**2. C
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{
"pile_set_name": "DM Mathematics"
}
|
/(q/q**(2/25)*q*(q/(q**(2/41)*q))/q) assuming q is positive.
q**(-59093/26650)
Simplify ((w*w**(1/4)/w*(w**(-2)/w)/w)/(w**(-2/7)/(w*w/(w/(w*w/w**(3/7))*w))))**(-16/5) assuming w is positive.
w**(212/35)
Simplify ((f/(f*f**(-2/27)/f))/f*f)/f*f/(f/(f/(f**(-9)*f)))*(f/(f/(f/f**0)*f))**18 assuming f is positive.
f**(245/27)
Simplify (v/v**26*v*v*v/(v*v**(-18)*v)*v)/(v**(-10)*v)**(-8/11) assuming v is positive.
v**(-127/11)
Simplify (((c/(c**0/c))/c*c*c)**(-2/39)/(c**12*(c/((c**6*c)/c))/c))**(-11/5) assuming c is positive.
c**(176/13)
Simplify ((u**22/(u*u**(-2/23)*u))**(-1/16))**(4/3) assuming u is positive.
u**(-77/46)
Simplify ((s**(-4/9)/s*s**2)**(-1/6))**(-1/30) assuming s is positive.
s**(1/324)
Simplify (w/(w/(w*(w/w**8*w)/w*w*w)*w))**16*(w/(w*w/((w/((w**(-21/2)*w)/w))/w*w)))/((w/w**(2/15))/w) assuming w is positive.
w**(-2081/30)
Simplify ((b/(b*b/(b**(-2)/b)*b)*b**(1/3))**41)**(-2/51) assuming b is positive.
b**(1148/153)
Simplify ((u*u*u**(2/7))/u*u**(-5))/(u**11)**28 assuming u is positive.
u**(-2182/7)
Simplify (f/(f/f**(4/3)))**(-4)/(f*f**6*f*f**(-9/2)/f) assuming f is positive.
f**(-47/6)
Simplify (d**(-4)/d*d*d**(1/5)*d*d)/(d**0)**44 assuming d is positive.
d**(-9/5)
Simplify (y**(-20))**(-4)/((y*y**(-3/4))/y**30) assuming y is positive.
y**(439/4)
Simplify (((w**(-4)*w)/w*w*(w**1/w)/w)**(3/11))**(-4) assuming w is positive.
w**(48/11)
Simplify (q/(((q**5/q)/q*q)/q*q)*q*q)/q**(10/7)*q**4*q*q**(-2/11)*q assuming q is positive.
q**(261/77)
Simplify (i**7/i*i**(1/4)*i**(-10)*i*i**(-4))**14 assuming i is positive.
i**(-189/2)
Simplify ((r/((r/(r/r**(-3/7)*r))/r))/(r**(-1)/r))/(r**(2/9))**(-4/35) assuming r is positive.
r**(1718/315)
Simplify (s**10/s**(-1/10))/(s**(-9/2)/((s*s**17)/s)) assuming s is positive.
s**(158/5)
Simplify x**(-2/9)*x**(3/14)*(x*x*x**(-2))/x**(-13) assuming x is positive.
x**(1637/126)
Simplify ((o*o/(o/((o/o**19)/o)*o))/(o/((o/o**17)/o*o)))/((o/(o/((o*(o*o**8/o*o)/o)/o)))/((o/(o*(o*o**(-18))/o))/o*o)) assuming o is positive.
o**(-26)
Simplify (z*(z/(z*z**(-4)))/z*z*z**(1/2))/(z*z**7*z**6/z) assuming z is positive.
z**(-15/2)
Simplify (u**1)**(30/7)*(u*u**(2/5)/u)**(1/14) assuming u is positive.
u**(151/35)
Simplify ((f/f**(2/9)*f)/((f*(f/(f/f**(6/13))*f)/f*f)/f))/(f**21/f**(-2/5)) assuming f is positive.
f**(-12334/585)
Simplify ((r*r**(1/7))/r*r*r*r/(r**(-2/9)/r)*r**(-4/9)/(r*(r/(r**(-6)*r))/r*r))**(1/40) assuming r is positive.
r**(-97/1260)
Simplify (g*(g*g/g**(-21)*g)/g*g*g*(g/g**(-5/7))/g*g*g)**(-21) assuming g is positive.
g**(-603)
Simplify (f*f**(6/19)*f*f)/f**(-7)*(f*f/(f**(-3/10)*f)*f)/f**(-1) assuming f is positive.
f**(2587/190)
Simplify (i*i/((i/(i*i/i**(-6)*i))/i*i)*i)**(1/24)/(i**(-3/2)/i**(3/4)) assuming i is positive.
i**(65/24)
Simplify ((u/(u/((u**(2/7)/u*u)/u*u)))/u)**(-3)/(u/u**4)**(-19/4) assuming u is positive.
u**(-339/28)
Simplify (s**(2/3)*s*s*s**(-1/8)*s*s*s**(2/5)*s**(-3)/s*s)**(-3/34) assuming s is positive.
s**(-233/1360)
Simplify l**(1/6)/l**(1/14)*l**(4/7)*l*l**3 assuming l is positive.
l**(14/3)
Simplify (((i*i**(3/2)*i*i)**(-2/13))**(-12))**(-12) assuming i is positive.
i**(-1296/13)
Simplify (x**6*x)**(-29)*(x**(-5/3)/x)**(-1/11) assuming x is positive.
x**(-6691/33)
Simplify (g*g**(11/2))/(g*(g*g*g**(-3/4)*g)/g)*(g*g*g**(-1/30)*g*g)/(g/g**(-4)) assuming g is positive.
g**(193/60)
Simplify ((h**(-16))**(-50))**(-4/33) assuming h is positive.
h**(-3200/33)
Simplify (c/c**(-25)*c*c*c**(2/7)*c*c*c)/((c*c**(11/3))/c)**43 assuming c is positive.
c**(-2654/21)
Simplify ((q/q**(-2/7))**(3/7))**(14/3) assuming q is positive.
q**(18/7)
Simplify (t*t/t**(-9)*t*t*t/t**(-1/4))/(t**(4/7)/((t/t**18)/t)) assuming t is positive.
t**(-121/28)
Simplify (i**(-8/5)*i*i**(-2/11)/i)/(i*i**8)**(-1) assuming i is positive.
i**(397/55)
Simplify i**(6/7)/i**(7/8)*(i*i**(-5))**8 assuming i is positive.
i**(-1793/56)
Simplify ((c*c**(-1/6)*c)/(c*c**1)*(c*c**(-3)/c)/c*c/(c*c**(-2/11)))**(14/3) assuming c is positive.
c**(-1841/99)
Simplify ((((r**(-1/5)/r)/r)**(2/119))**(-2/9))**(3/22) assuming r is positive.
r**(2/1785)
Simplify (j/(j**(-1/2)*j))**(-27)/(j*j**10*j*j)**(2/63) assuming j is positive.
j**(-1753/126)
Simplify r**(-3)*(r*r**(-2/13)*r*r)/r*r*(r/(((r**(1/5)/r*r*r)/r*r)/r))/r*r/r**(-17) assuming r is positive.
r**(1147/65)
Simplify f**(-1/2)/(((f/f**(8/5))/f)/f)*f*f**(-9)/f*f*f**(-9/4)/f assuming f is positive.
f**(-183/20)
Simplify (t**(-6)/t)**(3/14)*((t/(t/t**23*t))/t)/(t*t**(-13)) assuming t is positive.
t**(63/2)
Simplify ((d/d**(-1/4))**(-10)/(d**0/d*d)**(7/3))**(-28) assuming d is positive.
d**350
Simplify (c**(-2/17)*(c*c**(2/17)*c)/c*(c*c*c/(c*c**1*c*c))/c*(c*c*c**(-3)*c)/c)**(-12/17) assuming c is positive.
c**(24/17)
Simplify (f**(6/11)/f**(-3/8))/(f**(1/2)/f*f)**(4/5) assuming f is positive.
f**(229/440)
Simplify ((w**(-13)/w*w)/(w**(1/17)/w))/((w*w/(w*w**(13/3))*w)/w**(1/9)) assuming w is positive.
w**(-1471/153)
Simplify v/(v*(v/v**(-7))/v)*v**(-3)*(v/((v*(v/(v**(-16)/v))/v*v*v)/v))/v*v/((v*v/((v**(-6/5)/v)/v)*v)/v) assuming v is positive.
v**(-166/5)
Simplify ((i/(i**(-1/5)/i)*i)/i*(i*(i**(1/2)/i)/i)/i*i**(-7)/i**(3/4))**(-8) assuming i is positive.
i**(282/5)
Simplify ((t/(t/(t**(-1)/t)))/t)**24/(t**(-1/2)/(t*t/(t/(t*(t*(t**(-2/33)*t)/t)/t))*t)) assuming t is positive.
t**(-4525/66)
Simplify (v/v**(-1/23))**(-2/139)*(v**(-2/19))**(-3/7) assuming v is positive.
v**(12798/425201)
Simplify (m**(2/109)/m**(-2/135))**(2/15) assuming m is positive.
m**(976/220725)
Simplify (q**(1/6)/q)/q**(-7)*((q**(-3/4)/q)/q*q)**7 assuming q is positive.
q**(-73/12)
Simplify (q/q**17*q)/q**(-10/7)*q*q*(q**(3/8)/q)/q*q*q/(q**8*q) assuming q is positive.
q**(-1131/56)
Simplify (y**(-1/11)*(y**(-4)*y*y)/y*(y*y**(-2/5))**(-4/13))**40 assuming y is positive.
y**(-18736/143)
Simplify ((g**(-3)/g**(-3))**(-1/29))**(2/39) assuming g is positive.
1
Simplify (p**2)**(-20)/((p/(p/p**16))/p*p/((p**11*p)/p)) assuming p is positive.
p**(-45)
Simplify x*x/x**(-1/4)*x/(x*x*x*x**(-2/11))*(x/(x**22/x)*x)/(x**(2/7)/x*x) assuming x is positive.
x**(-5807/308)
Simplify ((i**(-2)/(i*i*i**(-5/6)*i))**(-1/8))**(-31/5) assuming i is positive.
i**(-155/48)
Simplify ((h*(h**(2/3)*h)/h)/h**(-12))/(h**(2/5)/(h**12/h)) assuming h is positive.
h**(364/15)
Simplify ((t**(1/4))**9/(t*t**1/t*t**(5/2)))**37 assuming t is positive.
t**(-185/4)
Simplify (m**3*m)**(-2/13)/(m**(-1/7)/m*m**11) assuming m is positive.
m**(-953/91)
Simplify (g/g**(2/3)*g**(-8))/(g**(1/23)*g/(g*(g/g**16)/g*g)) assuming g is positive.
g**(-1567/69)
Simplify (o/(o/o**(3/4)))**(2/5)*(o/(o*o**(2/11)))/(o/(o**(4/13)/o)) assuming o is positive.
o**(-2251/1430)
Simplify (v*v**(1/19)*v/((v/v**(2/17))/v))/((v/v**(-3/7))/(v*v**(2/5))) assuming v is positive.
v**(24212/11305)
Simplify (i**(-10/11)/(i/(i*i**(-2/3)/i)))/(i**(-5/6))**39 assuming i is positive.
i**(1975/66)
Simplify (y*y**(-2)*y*y)**(-29)*y**(-18/7)/(y*y**(-21)) assuming y is positive.
y**(-81/7)
Simplify (f**15/f)/f**(-29)*(f**(6/5))**(1/6) assuming f is positive.
f**(216/5)
Simplify (q/((q**(-1/3)/q)/q)*q)/(q*q**12)*(q**(2/11)*q)/(q*q**(-8/7)*q) assuming q is positive.
q**(-1927/231)
Simplify (m**(-8)*m)**(3/2)*((m/((((((m/m**(-14))/m)/m)/m)/m)/m))/m*m)/m**26 assuming m is positive.
m**(-91/2)
Simplify (h**(-4))**(2/7)*h/h**(-1/2)*h**(-10/7) assuming h is positive.
h**(-15/14)
Simplify ((x/((x/x**(2/9))/x)*x)**26/((x/(x**4/x*x))/(x**(1/4)/x)))**(-5/6) assuming x is positive.
x**(-10805/216)
Simplify (((y**(-1)/y)/y)**15/((y/(y**(2/23)*y))/y**6))**(3/10) assuming y is positive.
y**(-537/46)
Simplify (l*l**(-3))/l**(-1/4)*(l*l**(-3/11))/(l**(-1/12)*l*l*l) assuming l is positive.
l**(-130/33)
Simplify ((s**(-4))**(-29)/(s**(-1/4))**(-37))**(11/6) assuming s is positive.
s**(4697/24)
Simplify (m/m**8*m*m/(m*m*m*m/((m*m**(-18)/m)/m)*m*m))/((m/m**18)/(m**(5/7)/m)) assuming m is positive.
m**(-93/7)
Simplify (r**(-3)*r)**(-7/9)*(r/(r/r**(-1/3)))/r**2 assuming r is positive.
r**(-7/9)
Simplify (((h*h**11)/h**(-2/7))**(-41))**26 assuming h is positive.
h**(-91676/7)
Simplify (f**(1/2))**(-2/19)/(f**10*f*f*(f/(f*f/(f*f**3)))/f*f) assuming f is positive.
f**(-286/19)
Simplify ((b**(5/6)*b)/b)**(-2/23)/(b*b**2*b)**(-30) assuming b is positive.
b**(8275/69)
Simplify ((f**0*f**(-4))/(f**(1/4)/f*f**2))**31 assuming f
|
{
"pile_set_name": "DM Mathematics"
}
|
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