3 = 2*f - 1. Suppose -f*n = -5*n + 9. Calculate the remainder when w is divided by n.
2
Let r(i) = 15*i**3 - 4*i**2 + 12*i - 14. What is the remainder when r(2) is divided by 61?
53
Suppose 0 = 12*c - 9*c + 9. What is the remainder when (-3 - -2)*(-3)/c*-35 is divided by 9?
8
Let v be 72*(18/(-4) - -3). Let u = v - -118. Calculate the remainder when 129 is divided by u.
9
Suppose -2*n - 3*l = n, -4*n + 3*l = -28. Let o = -2 + 4. Suppose -50 = -n*r + t, o*r = -0*r + 2*t + 28. What is the remainder when r is divided by 3?
0
Suppose 191 = 11*w + 92. Let t(y) = y**3 - y**2 - y + 26. Calculate the remainder when t(0) is divided by w.
8
Suppose -13*u = -12*u - 47. Let p = 179 - 167. Calculate the remainder when u is divided by p.
11
Suppose 0 = -2*m + 3*n + 339, 4*n + 4 = -0. Suppose 0 = 3*d - 0*g + 3*g - m, -d = 2*g - 55. Calculate the remainder when d is divided by 21.
15
Let k(d) = -d**3 + 3*d**2 - 2*d. Let o be (8 - 10)/(1*-1). Let z be k(o). Calculate the remainder when 7 is divided by 0 + z + 8 + -3.
2
Let m(n) = 3*n + 11. Let i be m(-5). Let s(k) = 2*k**2 + 9. Calculate the remainder when s(i) is divided by 16.
9
Suppose 5*m + 5*t = 75, 5 = -0*t + t. Calculate the remainder when m is divided by 10.
0
Let j = 408 + -397. Let i(b) = -3*b**3 - b**2 - 2*b - 1. Let c be i(-1). Let q(l) = 6*l + 3. Calculate the remainder when q(c) is divided by j.
10
Let h = -318 - -330. What is the remainder when h is divided by 9?
3
Let d(t) = -4*t - 3. Let w be d(-2). Let f(i) = -5*i + 19*i + 18 - 16*i + w. Calculate the remainder when 32 is divided by f(6).
10
Let o(u) = u**3 - 3*u**2 - 14*u + 3. Suppose -7 - 3 = -5*d. Calculate the remainder when o(6) is divided by -22*(-1)/d - -3.
13
Let w = -3 + 16. Let y = 524 - 475. What is the remainder when y is divided by w?
10
Suppose 0 = 9*y - 4*y - 325. Let j = -45 + y. Calculate the remainder when j is divided by 6.
2
Suppose -4*d = -2*d - 2*o - 96, -3*o = -2*d + 100. What is the remainder when 88 is divided by d?
0
Let m = -5 + 7. Suppose -g - f = -7, -3*f + 7 = -m. Calculate the remainder when g is divided by 2.
0
Suppose 0*q = 5*q. Let x be 121 + -4 + q + -1. Suppose 136 = 7*j - x. Calculate the remainder when 69 is divided by j.
33
Let g(t) = -2*t + 52. Let p(y) = 5*y - 20. Let w be p(7). Calculate the remainder when g(w) is divided by 10.
2
Suppose -4*y + 3*o + 56 = 0, -y + 31 = -8*o + 3*o. Let i = -400 - -418. What is the remainder when i is divided by y?
7
Let n = 60 + -22. Calculate the remainder when n is divided by 18.
2
Let x(g) = -2*g**2 + 69*g - 203. Calculate the remainder when x(28) is divided by 18.
17
Let c be -2 + (-56)/(-24) - 8/(-3). Suppose x - c*a - 69 = 0, a = -x - 4*x + 377. What is the remainder when x is divided by 26?
23
Let j(x) = 4*x**2 + 4*x + 5. Calculate the remainder when 142 is divided by j(-2).
12
Suppose -92 = -3*d - 2*u, 0*d + 123 = 4*d + 3*u. Calculate the remainder when d is divided by 8.
6
Suppose -5*w = -1 - 9. Suppose w*s = 2 - 0, 3*l = -s - 5. What is the remainder when 5 is divided by 0/l + (-16 - -20)?
1
Let f = 13 + -9. Suppose 432 = f*k + 160. Suppose 4*y - 29 = 43. Calculate the remainder when k is divided by y.
14
Let f = -4 - -9. Let d(b) be the third derivative of b**5/30 - 7*b**4/24 - b**3/6 - 4*b**2. Calculate the remainder when d(5) is divided by f.
4
Suppose -i + 1 = -5. Suppose 0 = 4*j - 73 - 55. Suppose 0 = 5*c - x - 47, 5 - j = -3*c + x. What is the remainder when c is divided by i?
4
Let n = -786 + 794. What is the remainder when 50 is divided by n?
2
Let t = 31 - 28. Calculate the remainder when (-4)/(2 + -3) - -3 is divided by t.
1
Suppose 3*b + 1510 = 8*b. Let h = b - 124. Let c = h + -127. What is the remainder when c is divided by 18?
15
Let m = 29 + -11. Suppose -4 = -j, -3*j - 116 = -5*f - m. Let t(k) = -k + 7. Calculate the remainder when f is divided by t(-5).
10
Let m = -360 + 394. Suppose -4*f + 232 = -0*k - 4*k, k + 286 = 5*f. Suppose c - f = -2*c. Calculate the remainder when m is divided by c.
15
Let j be (-27)/(-12) - (-21)/28. What is the remainder when 47 is divided by j - (3 - (9 + -1))?
7
Let j(g) = g + 49. Suppose -47 - 43 = -5*s. What is the remainder when j(-15) is divided by s?
16
Let z(n) = 3*n**2 + 2*n - 5. Suppose 64 = 4*j - 8. Calculate the remainder when z(4) is divided by j.
15
Suppose 3*g = 7 + 182. Suppose 8 = 8*u - 4*u. Suppose -g = -u*t - t. Calculate the remainder when t is divided by 6.
3
Let h = 84 + -69. Calculate the remainder when h is divided by -2 - (-10 + 0/1).
7
Let x be 4 + -1 - (-2 - 3). Suppose g = x + 28. Let q = -16 + g. What is the remainder when q is divided by 8?
4
Suppose 11 = 2*i + 5. Suppose r = -3*a + 18, -i*r + 4 = -5*r + 2*a. What is the remainder when 6 is divided by r?
0
Suppose 4*x + 0*x = c, -3*x = -4*c. Suppose 5*i - 4*l - 17 = c, i + 23 = 6*i - l. Calculate the remainder when (-2)/(14/i - 3) is divided by 4.
2
Let y(r) = -5*r - 50. What is the remainder when 221 is divided by y(-19)?
41
Suppose 0 = -y - 0*h + 2*h + 15, 2*y - 10 = -h. Suppose 0 = -2*n - y + 49. Calculate the remainder when 41 is divided by n.
20
Suppose 3*d - 22 = -2*j, 5*d + 3 = 2*j + 13. Let t be (-4 + 0)*(-9)/12. Suppose -t*i - 12 = -4*i. Calculate the remainder when i is divided by d.
0
Suppose -2*t + j + 31 = 0, 5*j - 72 = -5*t + 2*j. What is the remainder when (14/(-8))/(1/(-24)) is divided by t?
12
Let c(j) = 6*j**2 + 1. Suppose 0*b = 2*b, -5*x - 10 = 3*b. Calculate the remainder when 47 is divided by c(x).
22
What is the remainder when 6/14 + 6196/14 is divided by 38?
25
Let k(n) = -n**3 + 9*n**2 + n - 1. Let x(r) = -61*r - 424. What is the remainder when k(9) is divided by x(-7)?
2
Suppose -4*n - 50 - 14 = -2*d, 3*n = -5*d + 108. Suppose -w - 67 = -80. What is the remainder when d is divided by w?
11
Let y = 7 + 3. Suppose -154 = -f - 2*v, -f = -2*f - 4*v + 148. Suppose 4*x + 4*i = f, 71 = 2*x - 3*i + 2*i. Calculate the remainder when x is divided by y.
7
Suppose -14*h = -38*h + 2856. Calculate the remainder when h is divided by 12.
11
Suppose 5*o - 152 = 13. Suppose -o - 203 = -4*m. Let k = 51 + -31. Calculate the remainder when m is divided by k.
19
Let q(c) = 70*c + 369. Calculate the remainder when 130 is divided by q(-5).
16
Suppose -5*l - 3*n = -946 - 397, -4 = n. What is the remainder when l is divided by 69?
64
Let j(c) = 125*c**2 - 74*c - 74. What is the remainder when j(-1) is divided by 29?
9
Suppose 8*m - 5*m = -2*i + 28, -2*m = 5*i - 26. Calculate the remainder when 782 is divided by m.
6
Let d(x) = -x**3 - 4*x**2 + 6*x + 6. Let z be d(-5). Suppose a - 16 + z = 0. Calculate the remainder when 39 is divided by a.
9
Suppose z + 18 = 6*z + 4*a, -a = 2*z - 9. Suppose -50 = -2*v + 3*q, 40*q = 5*v + 45*q - 50. What is the remainder when v is divided by z?
4
Let n(z) = z**3 - 28*z**2 + 31*z - 9. Calculate the remainder when n(27) is divided by 21.
15
Suppose -117 = 5*j - 4*r - 731, j - 3*r = 125. Calculate the remainder when j is divided by 17.
3
Suppose 0 = -4*z + 2*z + 4. Suppose -17 + 51 = z*s. Let l = 65 - 34. What is the remainder when l is divided by s?
14
Suppose 7*u = 5*u + 6. Suppose 2*m = -u*m + 30. What is the remainder when 75 is divided by m?
3
Suppose -578 = -4*t + 70. Suppose x - 5*k - 38 = 0, 5*k - 127 = -4*x - 0*x. What is the remainder when t is divided by x?
30
Let v(s) = 104*s - 17. Calculate the remainder when v(1) is divided by 71.
16
Suppose -7*t + 230 = -2*t. Let h = t + -27. Calculate the remainder when 71 is divided by h.
14
Let b = 162 + -109. Let l(j) = -j**3 + 100*j**2 - 110*j + 1098. Calculate the remainder when b is divided by l(99).
8
Suppose 148*x = 138*x + 580. What is the remainder when 165 is divided by x?
49
Suppose 487 - 19 = 9*p. What is the remainder when p is divided by 8?
4
Suppose -12 = -6*i - 30. Calculate the remainder when (i/6)/(2/(-108)) is divided by 8.
3
Let v(x) = -3*x + x + x. What is the remainder when 11 is divided by v(-4)?
3
Let f(b) = -b**3 + 9*b**2 - 13*b + 4. What is the remainder when 459 is divided by f(7)?
8
Suppose -2*l + 296 = 2*o, 0 = 5*o + 4*l - 0*l - 745. What is the remainder when o is divided by (-12 + -1)/((4/(-6))/2)?
36
Calculate the remainder when 237 is divided by (-2 - 14/(-5)) + 762/10.
6
Let c(t) be the second derivative of -5*t**3/6 -