 m = 30 + i. Let s = m - 10. What is the remainder when s is divided by 22?
20
Suppose 0 = 4*w - 0*w - 5*b - 176, -4*b - 131 = -3*w. What is the remainder when w is divided by 27?
22
Let j(k) = -k**3 - 11*k**2 - 15*k - 1. What is the remainder when j(-10) is divided by 26?
23
Let g(v) = -2*v - 10. Suppose -b = -3 - 1, 3*k - 4*b - 119 = 0. Calculate the remainder when k is divided by g(-11).
9
Suppose -13*a + 223 = -76. Calculate the remainder when a is divided by 9.
5
Let w = -14 - -35. What is the remainder when w is divided by 13?
8
Let a = 3 - -2. Let x = 29 - 6. Calculate the remainder when x is divided by 3*a/(10/8).
11
Let z = -11 + 19. What is the remainder when (92/(-10))/((-22)/55) is divided by z?
7
Suppose 20 = 8*n - 3*n. Let w(g) = -9*g + 8. Let p(l) = 26*l - 23. Let b(t) = 4*p(t) + 11*w(t). Calculate the remainder when b(n) is divided by 9.
7
Suppose 0 = -2*w - 4 + 10. What is the remainder when 7 is divided by w?
1
Suppose 2*m - 4*a = 6, 1 - 9 = -3*m + 5*a. Let r be 3/(6*m/88). Suppose 5*l - 2*u - 85 = -0*u, -l = 5*u - r. What is the remainder when 55 is divided by l?
17
Let p = 139 + -59. Suppose p = 5*v + 20. What is the remainder when (36 - 2) + -1 + 1 is divided by v?
10
Let o = 24 - 12. Suppose 6*s = 2*s + x + o, -12 = -3*x. What is the remainder when 13 is divided by 26/s - (-1)/2?
6
Suppose 0*b = -b + 12. Calculate the remainder when ((-8)/6)/(2/(-33)) is divided by b.
10
Let q be (4/6)/(10/375). Suppose -q = 2*y - 7*y. Calculate the remainder when y is divided by 2.
1
Let y(j) = 6*j. Let b(v) = -7*v - 1. Let a(h) = 3*b(h) + 4*y(h). Calculate the remainder when a(9) is divided by 13.
11
Let p = 138 + -63. What is the remainder when p is divided by 13?
10
Let r(b) = -9*b - 17. Suppose 2*g = 6*g - 68. Calculate the remainder when g is divided by r(-3).
7
Suppose -2*k = -f - 128, 4*k + f - 116 = 134. Let n = -45 + k. Calculate the remainder when 35 is divided by n.
17
Let a(r) = r**3 - 8*r**2 - 5. Let n be a(8). Let z = n - -9. Suppose -2*u + 36 - 14 = 0. Calculate the remainder when u is divided by z.
3
Let c(m) = -m**2 - 7*m - 3. Let h be c(-6). Suppose -y - v + 1 = -h, 5*y - 24 = -v. Suppose -y*w = -w - 56. What is the remainder when 25 is divided by w?
11
Suppose 390 = 5*o + 5*i, 3*i + 66 + 110 = 2*o. Let p = o - 53. What is the remainder when p is divided by (-5)/((-2)/(8/2))?
9
Suppose -s - 1 = -3. Suppose -2*r - v + 27 = -0*v, -s*r + 42 = -4*v. Suppose 43 = 5*i - 102. Calculate the remainder when i is divided by r.
14
Let y(o) = -o**2 + 9*o - 9. Let u(j) = 16*j**2 - 2*j + 1. Calculate the remainder when u(1) is divided by y(6).
6
Let w = 0 + -1. Let x be (-30)/(-2)*w/(-3). Suppose 0 = -2*v - x*q + 2*q + 41, -3*q = 4*v - 67. Calculate the remainder when 24 is divided by v.
11
Let h(d) = -d**3. Let y(x) = -5*x**3 + x**2 + 2*x - 5. Let j(f) = 4*h(f) - y(f). Calculate the remainder when j(4) is divided by 12.
9
Suppose g - 5*g = -140. What is the remainder when 68 is divided by g?
33
Let l(h) = 3*h - 6. Calculate the remainder when 26 is divided by l(5).
8
Suppose 3*a + 159 = 6*a. Calculate the remainder when a is divided by 18.
17
Suppose 4*q - 4*v - 34 = v, 0 = v + 2. Suppose 3*w = 4*c - 12, 3*c + q = -2*w + 15. Calculate the remainder when 4 is divided by c.
1
Let t(p) = 3*p + 1. Suppose 2*d = -4*m - 0*d - 6, 3*m = -2*d - 3. Let u(a) = -4*a - 3. What is the remainder when t(5) is divided by u(m)?
7
Let z = -5 - -5. Suppose 4*j + z*j = 64. What is the remainder when j is divided by 9?
7
Let h = -75 - -122. Calculate the remainder when 139 is divided by h.
45
Let h(i) = i**2 - i. Let m(d) = -d**2 - 7*d - 4. Let b be m(-5). Suppose k + b = -2*k + 4*n, -3*k = 3*n + 6. Calculate the remainder when h(k) is divided by 4.
2
Suppose 4*p + 58 = -k + 3*k, 2*k = p + 67. Calculate the remainder when 67 is divided by k.
32
Suppose 2*l - 84 = -4*r, 5*l - 8*r + 11*r - 238 = 0. What is the remainder when l is divided by 9?
5
Let a be (1 + 2)/3*1. Let j be (-1 + a - 1) + -8. Let r = -5 - j. Calculate the remainder when r is divided by 3.
1
Let o be (11 + -1)*(-9 + -1). Calculate the remainder when (o/(-6))/((-6)/(-9)) is divided by 13.
12
Let w = -1 - 2. Let y = w - -4. Suppose 4*h - 5*s = -6, 2 - 3 = -3*h + s. Calculate the remainder when h is divided by y.
0
Let l be -3 - (-15)/(-3)*-5. Suppose l = -i + 58. Suppose -m + i = m. Calculate the remainder when m is divided by 10.
8
Let l = -91 - -134. What is the remainder when l is divided by 15?
13
Suppose -3*q + 4*q - 92 = 0. Suppose 4*w - q = -20. Calculate the remainder when w is divided by 10.
8
Let x(n) = n + 25. Let b(q) = 6*q**2 - 2*q + 1. Let m be b(1). What is the remainder when x(0) is divided by (-2)/(-10) - (-69)/m?
11
Suppose -4*l = n + 2, -7*l + 3*l = 2*n - 4. Suppose 2*d = 16 - n. What is the remainder when d is divided by 2?
1
Suppose -2*v + 399 = 2*y - v, -3*y - 3*v + 594 = 0. What is the remainder when y is divided by 51?
48
Let o be (-5 - 1) + 3*1. Calculate the remainder when 1/((-5)/2 - o) is divided by 2.
0
Suppose 0 = -2*u + 90 + 144. What is the remainder when u is divided by 40?
37
Suppose 0 = -15*g + 134 + 31. What is the remainder when 30 is divided by g?
8
Let t(x) = -x**2 - 2*x + 64. Calculate the remainder when t(7) is divided by (2 + 5/(-2))*-2.
0
Let w = 8 + -3. Suppose -b + w - 1 = 0. Suppose 9*v + b*z - 209 = 4*v, 169 = 4*v + 5*z. Calculate the remainder when v is divided by 14.
13
Calculate the remainder when 21 is divided by (-10)/(-6)*(-54)/(-15).
3
What is the remainder when 47 is divided by (-3)/((-36)/(-8))*-18?
11
Suppose -4*m - j + 40 = 0, -m + 4*j - 3*j = -10. Suppose 2*f - m = -0. What is the remainder when 7 is divided by f?
2
Let h be (-1 - 0)/(2/(-6)). Suppose -3*k - h*n + 57 = 0, -n = 3*k - 14 - 33. Calculate the remainder when 25 is divided by k.
11
What is the remainder when 66 is divided by (-8)/(1 - -3) + 19?
15
Suppose 5*f = 3*v + 2 - 34, -5*f = v + 16. Suppose 5 = v*k - 15. Calculate the remainder when 9 is divided by k.
4
Let p = 157 - 126. Calculate the remainder when p is divided by 12.
7
Suppose 3*l - 6 = -0*l. What is the remainder when 57*(-2)/(l*-3) is divided by 7?
5
Suppose 12*w - 2*w - 150 = 0. What is the remainder when 86 is divided by w?
11
Let b(f) = f**3 - 3*f**2 - 3*f + 3. Let g be b(4). Let x(u) = 5*u + 10. What is the remainder when x(g) is divided by 12?
9
Let v = -34 + 57. What is the remainder when v is divided by 12 - (-10 + 5 - -4)?
10
Suppose -2*x + 5*k + 169 = -70, -x = -4*k - 127. What is the remainder when x is divided by 55?
52
Let x(g) be the first derivative of -g**4/4 - 5*g**3/3 + 3*g**2 + 4*g + 3. Calculate the remainder when x(-6) is divided by 3.
1
Let i = 51 + 59. Calculate the remainder when i is divided by 28.
26
Let z(r) = 3*r**2 + 2. Let p = 119 + -66. What is the remainder when p is divided by z(-2)?
11
Suppose -5*q + 284 = s, 0 = -4*q + q + 5*s + 176. What is the remainder when q is divided by 20?
17
Suppose -2*r = m + 27 - 79, 0 = -5*r - 2*m + 132. Calculate the remainder when 55 is divided by r.
27
Suppose 52 = -5*x + 167. Suppose 2*d = -3*o + 27, 5*d + x = o + d. Calculate the remainder when o is divided by 6.
5
Suppose y - 1 = -0*r + 2*r, -3*r - 33 = -5*y. Calculate the remainder when 33 is divided by y.
6
Suppose 0 = -7*q + 4*q + 171. Calculate the remainder when q is divided by 20.
17
Suppose 156 = 4*d + 3*n, 2*d - 4*d + 76 = n. What is the remainder when 71 is divided by d?
35
Calculate the remainder when 65 is divided by 6/4*200/30.
5
Let z(x) be the first derivative of -x**2/2 + 3. Let u be z(-3). Suppose -52 = -4*i - 4*s, -3*i + u*s + 29 = -4. What is the remainder when 22 is divided by i?
10
Suppose 4*g = 4*u - 48, -3*u = 4*g - 9*g - 52. Suppose 0*l - 1 = 2*c + l, -c - 2 = -l. What is the remainder when c/4 + (-322)/g is divided by 14?
12
Suppose 0*s = -4*r - 3*s + 26, -22 = -4*r - s. Suppose -3*v + 4*v = 2. Calculate the remainder when r is divided by v.
1
Let a(n) = 4*n - 1 - 1 + 0. What is the remainder when a(7) is divided by 9?
8
Let h = 6 + -5. Calculate the remainder when (25 + (-2)/(-2))/h is divided by 15/6*6 - 1.
12
Let j = 2 + 0. Suppose 85 = 5*m - 5*l, 2*l + 38 = j*m + l. What is the remainder when 40 is divided by m?
19
Suppose 4*l + 18 = 3*f - 66, -163 = -5*f - l. W