. Let q = 14 + z. Let y = -16 - -25. What is the remainder when y is divided by q?
1
Let a(d) = 6*d + 191. What is the remainder when a(-11) is divided by 67?
58
Suppose 5*v = 2*v - 69. Let j = v + 59. Suppose 2*k + j = 11*k. Calculate the remainder when 13 is divided by k.
1
Let m(k) = -k**3 + 7*k**2 - 4*k - 1. Suppose -9 = 2*f - 11*f. What is the remainder when ((-565)/(-20))/(f/4) is divided by m(5)?
26
Let m be 9/6 + (-26)/4. Let z = m - -22. Calculate the remainder when z is divided by 11.
6
Suppose -3*s + 6 = -0. Suppose -u - 30 = -k, 4*k + u + s*u - 92 = 0. Suppose 3*v = l + 46, -5*l - k = -2*v + 22. What is the remainder when v is divided by 8?
6
Suppose -68 - 41 = -2*j + 3*k, 3*j = k + 167. Calculate the remainder when j is divided by 19.
18
Let u = 24 - 20. Suppose -3*l = w + 15, u*l - l + 2*w = -18. Calculate the remainder when 5 is divided by (-1 - (-40)/4) + l.
0
Let j(y) = 26*y**3. Let b be j(1). Suppose 2*n = -4 + b. Let r(z) = -5*z - 19. Calculate the remainder when r(-10) is divided by n.
9
Let l(j) = 48*j + 40. What is the remainder when l(2) is divided by 23?
21
Suppose -5*t - 908 + 358 = 0. Let h = -87 - t. Calculate the remainder when h is divided by 13.
10
Calculate the remainder when 4/(-2) + 108/(-12) + 93 is divided by 42.
40
Let k(u) = 121*u - 23. Let t(y) = 60*y - 11. Let b(r) = 2*k(r) - 5*t(r). Calculate the remainder when b(-2) is divided by 18.
17
Suppose 4*q + 17 = 4*p + 3*q, -13 = -4*p - 3*q. Suppose 0 = p*w + 2*b - 74, 2*w - w + b - 18 = 0. Calculate the remainder when w is divided by 10.
9
Suppose 6*n - 2*n + 12 = 0, -4*j + 11 = 3*n. Let a be -12*(-2)/(8/(-3)). Let v = a + 26. What is the remainder when v is divided by j?
2
Let w(q) = 2*q**2 + 6*q - 3. Let l(c) = c**2 - 10*c + 11. Let r be l(8). Calculate the remainder when 31 is divided by w(r).
14
Let h = 40 + 868. Suppose -5*t + h = 68. Calculate the remainder when t is divided by 13.
12
Let r(w) = 2*w**2 - 7. Let p be r(-4). Suppose 0 = -32*k + p*k + 175. Let g = 84 + 13. Calculate the remainder when g is divided by k.
22
Let g = 10 - 4. Suppose -67 = -4*z + 3*s, 2*z + 16*s = 11*s + 27. Calculate the remainder when z is divided by g.
4
Let m = 100 + -82. Suppose -m*s = -15*s - 132. What is the remainder when s is divided by 12?
8
Let v(l) = -l**3 - 8*l**2 - 4*l - 1. Let y(k) = -1. Let b(s) = -v(s) - 3*y(s). Calculate the remainder when b(-7) is divided by 14.
11
Let y = 30 - 28. Let q(i) = -i - 3. Let c be q(-3). Suppose 0 = -4*v - 5*d + 21, c = d - 2*d + 1. Calculate the remainder when v is divided by y.
0
Let f be (-2 - 9) + (3 - 1). Let s = 5 - -6. Let h = s + f. What is the remainder when 5 is divided by h?
1
Suppose -4*o + 5*p = -77, -2*o - p = 2*o - 71. Suppose -2*g + m = -0*g - o, -5*g - 3*m = -67. Calculate the remainder when 19 is divided by g.
8
What is the remainder when 13 is divided by (4/(-3))/(40/(-180))?
1
Suppose -8*d + 3*d - 25 = 0, -5*w = 5*d. Calculate the remainder when 89 is divided by w.
4
Suppose -216 = -o + 5*j - 25, -3*o - j + 621 = 0. What is the remainder when o is divided by 11?
8
Suppose 18 = 2*w - 48. What is the remainder when 117 is divided by w?
18
Let b = 270 - 252. Let r(f) = 7*f**2 + 2*f - 1. Calculate the remainder when r(3) is divided by b.
14
Let g(b) = 4*b + 97. Calculate the remainder when 201 is divided by g(-17).
27
Let b(s) = 22*s - 49*s - 34 + 17*s. What is the remainder when b(-6) is divided by 7?
5
Let y = 179 - 107. Let g = y + -64. Calculate the remainder when 55 is divided by g.
7
Let m(l) = -l**2 + 15*l + 3. Let o = 58 - 41. Calculate the remainder when o is divided by m(15).
2
Suppose 0 = 47*u - 352 - 36 - 129. Suppose 3*d - 2*l - 65 = 0, 68 = 3*d + 3*l + 8. What is the remainder when d is divided by u?
10
Suppose 3*x = -2*a + 44, 2*x - 17 = -3*a + 54. Let u(o) = -o**3 - 3*o**2 + 9*o + 4. Calculate the remainder when a is divided by u(-5).
7
Suppose -248 = 21*d - 1046. What is the remainder when 792 is divided by d?
32
Let q = 89 + -86. Suppose q*r - 3*o - 21 = -o, r = -4*o - 7. What is the remainder when 19 is divided by r?
4
Let v = 24 + -18. Let z be (v - 4)*74/(-4). Calculate the remainder when 142 is divided by 0 - -2 - 3 - z.
34
Let x be 1*10*((-348)/30 + 4). Let l = x + 127. Calculate the remainder when l is divided by 15.
6
Calculate the remainder when 109 is divided by (-21)/4*17/(102/(-8)).
4
Let y(t) = -5*t - 223. What is the remainder when 134 is divided by y(-57)?
10
Suppose 0 = -4*y + 39 + 77. Let c(f) = f**2 - 14*f + 16. Let k(m) = m**3 - 7*m**2 + m + 7. Let g be k(7). What is the remainder when y is divided by c(g)?
13
Suppose 0 = -3*j - 2*v + 61, 0 = 5*j + 5*v - 4*v - 90. Suppose 2*k - 3*b - 217 = 0, 3*b - 4 = -19. What is the remainder when k is divided by j?
16
Suppose -9 - 48 = -3*c. Suppose 2*a - a - 4*z - 73 = 0, -4*a + 264 = -2*z. Suppose d - a = -c. What is the remainder when d is divided by 24?
22
Let y = 53 - 7. Let v(j) = 14*j - 77. Calculate the remainder when y is divided by v(6).
4
Suppose -10*q = -12*q + 128. Suppose -7*c + 73 = -53. What is the remainder when q is divided by c?
10
Suppose 3*s - 93 = -v, 4*s = s - 3*v + 87. Let q = 14 - -3. What is the remainder when s is divided by q?
15
Suppose -5*g + 398*x + 477 = 397*x, g - x - 93 = 0. What is the remainder when g is divided by 56?
40
Let d = -7 - -20. Suppose 6*j = d*j - 42. What is the remainder when 18 is divided by j?
0
Let q = 83 - 83. Suppose 2*g = 5*g - 171. What is the remainder when g is divided by q + (-111)/(-6) + (-21)/(-14)?
17
Suppose -2*k = -7*k + 90. Suppose g - 83 = -3*w, 0*w + 2*w - 2*g - 50 = 0. Calculate the remainder when w is divided by (-164)/(-10) + k/(-45).
11
Suppose 798*m - 808*m + 5500 = 0. Calculate the remainder when m is divided by 23.
21
Suppose 5*o = 2*v - 93 - 81, 0 = 4*o - 3*v + 142. Let h = -20 - o. What is the remainder when h is divided by 6?
2
Let b(u) be the second derivative of u**3/6 + 2*u**2 - 5*u. What is the remainder when 82 is divided by b(17)?
19
Suppose 4*m = -4*j + 52, -8*j = -7*j + 2*m - 8. Calculate the remainder when 1167 is divided by j.
15
Suppose g - 3 = 9. Suppose -l = 2*s - g, -4*l + 5*l - 20 = -3*s. Calculate the remainder when 15 is divided by s.
7
Suppose -f - 78 = -7*f. What is the remainder when 96 is divided by f?
5
Let r = -796 - -1063. What is the remainder when r is divided by 94?
79
Let x(r) = -r**3 + 37*r**2 - 70*r + 48. What is the remainder when x(35) is divided by 3?
0
Suppose 2*b - 5*b = -6. Suppose 56 = m + 2*z, 6*m - z - 215 = b*m. Let i(f) = -f**3 - 4*f**2 - 3*f + 2. Calculate the remainder when m is divided by i(-4).
12
Suppose 2*n + 4*y - 182 = 0, 3*n = -5*y - 14 + 287. Calculate the remainder when n is divided by 8 + (3 - 8) - 58/(-2).
27
Suppose 5*q = -2*j + 38, -15 - 5 = 5*q. What is the remainder when 85 is divided by j?
27
Let b be (-50)/(-8)*(8 - 12). Calculate the remainder when (b - 82)/(-2 + 1) is divided by 31.
14
Let z(n) be the second derivative of n**5/20 + 5*n**4/6 + 5*n**2/2 - 6*n. Let s be z(-10). Suppose s*p = p + 20. What is the remainder when 19 is divided by p?
4
Calculate the remainder when 219 is divided by (5 - 8)*(-10)/3.
9
Let j(p) be the third derivative of -p**6/120 + p**5/4 - 13*p**4/12 + 5*p**3/6 - 13*p**2. Calculate the remainder when 28 is divided by j(13).
3
What is the remainder when (-243)/(-4) - (-2)/8 is divided by (-238)/35*130/(-52)?
10
Let c(w) = -w**3 - 9*w**2 - 10*w - 14. Let i be c(-8). Suppose i*o = 3*u - 30, -3*u + 39 = -5*o - 0*o. What is the remainder when 21 is divided by u?
5
Let v = 81 + -55. Suppose 0 = 4*f + 3*h + h - 28, 3*f - 4*h = 49. Let q = f + 3. What is the remainder when v is divided by q?
12
Suppose 4*h + 4*w - w - 12 = 0, 2*h + 8 = 2*w. Suppose -o + 27 = -h*o. What is the remainder when o is divided by 15?
12
Let w = 10 + -7. Let j(z) = 3*z**2 - 3*z + 3. Calculate the remainder when j(w) is divided by 6.
3
Let f = -20 - -36. Let v = -12 + f. Suppose -5*p + 5*i = -18 - 17, -4*i - 20 = -3*p. What is the remainder when p is divided by v?
0
Suppose 3548 = y + 3528. Calculate the remainder when 1 - (-1 - -67)/(-2) is divided by y.
14
Let b(z) be the third derivative of -1/30*z**5 - 1/120*z**6 - 2*z**2 - 1/2*z**3 + 1/6*z**4 + 0 + 0*z. What is the remainder when 50 is divided by b(-4)?