Suppose -2*b = -r*b + 4. Calculate the remainder when 4 is divided by b.
0
Let x(k) = 21*k + 3. Calculate the remainder when x(4) is divided by 44.
43
Let i = 36 - 14. Suppose i = -0*u + u. Let g = 22 - 14. Calculate the remainder when u is divided by g.
6
Let g(k) = 13*k**2. Let w(y) = -y**2 + y + 34. Calculate the remainder when g(1) is divided by w(6).
1
Suppose 0 = -6*r - 18 + 42. What is the remainder when 17 is divided by r?
1
Let t = 50 - 14. Suppose -3*r = r - t. What is the remainder when r is divided by 3?
0
Let s(l) = 20*l + 9. Let h(c) = -7*c - 3. Let a(r) = -8*h(r) - 3*s(r). What is the remainder when 33 is divided by a(-3)?
6
Suppose -3*v = y - 11, -4*y + 4*v + 53 + 7 = 0. Let u = 31 + y. Let q = -32 + 48. What is the remainder when u is divided by q?
13
Suppose -2*n = 5 - 7. Suppose -5*r = -2*f + 55, 2*r + r + 2 = -5*f. Let p = r + 10. Calculate the remainder when p is divided by n.
0
Suppose 94 = 4*j - 5*q + 2*q, 4*q - 8 = 0. What is the remainder when 97 is divided by j?
22
Let g = 45 - 36. Let s(w) = -w**3 - 4*w**2 - 7*w - 4. Calculate the remainder when s(-4) is divided by g.
6
Let q(b) = -b**3 + 7*b**2 + 9*b - 5. Let f be q(8). Let h = f + 37. Calculate the remainder when h is divided by 14.
12
Calculate the remainder when 13 + -3 + 4*(-15)/(-10) is divided by 4.
0
Let t(p) = 7*p**2 - 5. Let k(b) = 6*b**2 - 6. Let h(d) = -4*k(d) + 5*t(d). Let j = 12 - -6. What is the remainder when j is divided by h(1)?
8
Suppose q + 0 = 4. Suppose q*k = 85 + 19. Suppose 0*x - k = -2*x - o, 10 = x + 2*o. What is the remainder when 27 is divided by x?
13
Let c = -70 + 71. Let z(b) = b + 6. What is the remainder when z(-5) is divided by c?
0
What is the remainder when 24 + 1*(4 + -1) is divided by 42/4 - 3/6?
7
Suppose 355 = h + 4*h - 5*m, 2*h - 134 = -2*m. Suppose 11 + h = 4*t. Calculate the remainder when 25 is divided by 3 - 3*t/(-6).
12
Suppose 5*o - 275 = -5*s, -4*s - o = -4*o - 241. What is the remainder when s is divided by 15?
13
Suppose -u = 3*y - 3*u - 8, -4*u + 24 = 4*y. Calculate the remainder when (-6)/(-7)*(-4 + 11) is divided by y.
2
Let k(c) = c**2 - c. Let o(g) = 8*g**2 + 3*g + 4. Let f = -8 - -3. Let t(v) = f*k(v) + o(v). Calculate the remainder when t(-6) is divided by 22.
20
Let q(j) = j**3 - 16*j**2 + 16*j + 20. Calculate the remainder when q(15) is divided by 20.
15
Let l = 28 + -25. Suppose 0 = -0*i + l*i - 48. What is the remainder when i is divided by 10?
6
Let g(l) = -40*l**3 - l**2 + l + 1. Let m be g(-1). What is the remainder when 0 + m + (0 - -1) is divided by 16/(-6)*(-105)/20?
12
Let l(y) = -2*y + 10. Calculate the remainder when 8 is divided by l(4).
0
Suppose -2*y + 4*n = -62, 3*y - 109 = -y + 3*n. What is the remainder when y is divided by 7?
4
Suppose -24 - 21 = -5*v. Suppose -9 = h + 5*q, -2*h + 2*q + 18 = -24. What is the remainder when h is divided by v?
7
Let v(j) = j**2 - 8*j + 5. Let f(k) = 2*k**2 - 3*k + 1. Let y be f(3). What is the remainder when v(y) is divided by 13?
12
Suppose -2*t - 15 = r, 8 = -4*t + 4*r - 4. Let s be ((-34)/t)/((-2)/(-36)). Calculate the remainder when 22 is divided by s/8 + 9/(-12).
10
Let t(f) = f + 3. Let p be t(-3). Let j = 3 - p. Suppose -4*i - 21 = -5*n, 2*i = -0*n + j*n - 13. What is the remainder when 2 is divided by i?
0
Let j = 0 - -2. Suppose -8*k = -3*x - 3*k + 16, -4 = x + 3*k. Suppose 3*q - 76 = -4*f, j*q + 24 = -x*f + 4*f. What is the remainder when 47 is divided by f?
15
Let n = 12 - 7. Suppose -2*c = -5*x + 52, n = -5*c - 0. Let l = -12 + 18. What is the remainder when x is divided by l?
4
Let o(d) = d**3 + 3*d**2 - 4*d + 1. Suppose -5*m + 3*m = 2*j - 54, j - 52 = -2*m. What is the remainder when m is divided by o(-3)?
12
Suppose 0 = -0*n - 3*n - 3*h + 60, 0 = -3*n - h + 68. What is the remainder when 46 is divided by n?
22
Suppose -4*u + 10 = 274. Let w(x) = x**3 - 12*x**2 + 12*x + 10. Calculate the remainder when w(11) is divided by (1/3)/((-2)/u).
10
Let l(a) = -a**2 + 7*a + 5. Calculate the remainder when (4 + 3)/(-28) + (-165)/(-4) is divided by l(6).
8
Let f(b) = -b**2 + 3*b - 4. Let z be f(3). Let t be (-1)/z - 2/8. Suppose t*m + 68 = 4*m. Calculate the remainder when m is divided by 9.
8
Suppose 5*f - 96 = 114. Calculate the remainder when f is divided by 15.
12
Suppose -3*k + 35 = 2*d - 11, -4*k - 5*d + 73 = 0. Let p = -1 + 1. Suppose -4*y = -p*y - 84. What is the remainder when y is divided by k?
9
Let r = 88 + -13. What is the remainder when r is divided by 26?
23
Suppose -3*q - h + 49 = 0, -3*h = -2*q + 25 + 4. Suppose 58 = 3*v - 128. Calculate the remainder when v is divided by q.
14
Suppose -9 = 2*k + 19. Let y(d) = -d**3 - 15*d**2 - 14*d + 13. What is the remainder when 49 is divided by y(k)?
10
Let n be (-42)/12*8/(-14). Let a be (-6)/(n + 1) + 26. Let r = a + -11. Calculate the remainder when 38 is divided by r.
12
Let i(j) = j**3 - 3*j + 2. Let t be i(2). Let r be -1 + t + -2 + 9. Let v = r + -2. What is the remainder when 15 is divided by v?
7
Let w = 111 - 65. What is the remainder when w is divided by 12?
10
Suppose 2*p = -2*a + 91 - 7, p + 2*a - 43 = 0. What is the remainder when 79 is divided by p?
38
Suppose x - 5*f = 22, 0*f - f = 4. Let z(s) = 3*s**2 - 5*s**x + 2*s**2 + 4*s**2. Calculate the remainder when 13 is divided by z(-1).
1
Suppose 32 = p + p. Suppose 0 = -5*o - 2*n + 142 + 84, 3*o - 132 = -3*n. What is the remainder when o is divided by p?
14
Suppose 0 = -3*i + x - 0*x + 9, 4*i + 4 = -4*x. Suppose 0 = -y + 3 + 4. What is the remainder when 0 - 3 - (0 - y) is divided by i?
0
Let y(j) = -j**3 - j + 4. Let q be y(0). Let z be 412/6 - q/6. Suppose z = 4*a - 48. What is the remainder when a is divided by 15?
14
Let w = 5 + 6. Calculate the remainder when w is divided by 6.
5
Suppose 0 = -2*o + 3*d + 59, 3*o + 31 = -5*d + 110. What is the remainder when o is divided by 8?
4
Suppose 2*n - 5*p + 1 = 8, -n + 5*p + 1 = 0. What is the remainder when 14 is divided by n?
2
Let v(o) = o**2 + o - 3. What is the remainder when v(-5) is divided by 10?
7
Suppose 0 = -m + 2*z + 10, -16 + 4 = 2*m + 4*z. Suppose 0*u + m*u - 14 = 0. What is the remainder when u is divided by 4?
3
Let p = -51 + 71. Calculate the remainder when 79 is divided by p.
19
Let h(m) = -m**2 - 3*m. Let b be h(-4). Let g be (-9)/(-2) + 2/b. Suppose -50 = -4*s - 5*r, 4*r = g*s + s - 42. What is the remainder when 29 is divided by s?
9
What is the remainder when (136/10)/(22/55) is divided by 7?
6
Suppose -5*n - m = 2*m - 1472, 0 = -m + 4. Calculate the remainder when -4*(n/(-16) + 0) is divided by 19.
16
Let l = 43 + -24. Suppose 2*w - 7*w = -25. Calculate the remainder when l is divided by w.
4
Suppose 6*c + 266 = 746. What is the remainder when c is divided by 12?
8
Suppose -201 + 18 = -3*i. Suppose -3*n = i + 20. Let o = 30 - n. What is the remainder when o is divided by 15?
12
Suppose 3*k = 3*a + a - 515, 120 = a + k. What is the remainder when a is divided by 18?
17
Suppose 4*u + 3 - 23 = 0. Let m(x) = -x**2 + 5*x + 4. Let s be m(u). Suppose 12 = 2*a + 2*g, -s*g + 15 = -7*g. What is the remainder when a is divided by 4?
3
Suppose -2*h + 6 - 18 = 0. Let k = h - -10. Suppose p + 5*p - 12 = 0. What is the remainder when k is divided by p?
0
Let g be -7 + -5 + 12/4. Let l = g + 55. What is the remainder when l is divided by 16?
14
Suppose 2*t = -6, 11 = -2*r + 3*r + 3*t. What is the remainder when (3/(-2)*2 - -4) + 36 is divided by r?
17
Let n be (-8)/20 - 14/(-10). Let u = n + 16. Calculate the remainder when u is divided by 9.
8
Suppose -2*v - 3*v = -2*k - 14, 2*v = -3*k + 17. Let b = 15 + -5. Calculate the remainder when b is divided by v.
2
Suppose -5*v = -p + 6*p - 10, 0 = -3*v + 5*p + 46. Calculate the remainder when 11 is divided by v.
4
Suppose 3*b = b + 106. What is the remainder when b is divided by 14?
11
Suppose 0 = 2*q - q - 11. Let s = q - 2. What is the remainder when (-66)/(-4) + 2/4 is divided by s?
8
Let u = 94 - 58. Suppose 3*a = u - 3. Let r = -23 + 44. What is the remainder when r is divided by a?
10
Suppose 3*o - 29 = 73. Calculate the remainder when 168 is divided by o.
32
Suppose 2*w - 39 = r, 4*w + 3*r = 66 - 3. Calculate the remainder when w is divided by 5.
3
Let i(u) = -u - 8*u + 1 + 3*u + 3 - u**2. What is the remainder when ((-5)/2)/(3/(-1