divided by 12.
11
Suppose -8 = -3*o + 1. Let n = o + 6. Calculate the remainder when 34 is divided by n.
7
Suppose 2*q - 3 = 39. Calculate the remainder when 39 is divided by q.
18
Let v(p) = 63*p**3 + p**2 - 3*p + 2. Calculate the remainder when v(1) is divided by 33.
30
Suppose -92 = -3*r + 5*b, 7*b - 28 = -2*r + 2*b. What is the remainder when 71 is divided by r?
23
Let r = 16 - 10. What is the remainder when 29 is divided by r?
5
Let l = 0 - -36. Suppose 0 = b - 28 - l. Suppose 5*n - b = n. Calculate the remainder when 31 is divided by n.
15
Suppose -3 = g - s - 4*s, 0 = -5*g + s + 9. Let h = 5 - -9. What is the remainder when -82*((-3)/g - -1) is divided by h?
13
Let g = -5 + 7. Let t = 7 + g. What is the remainder when 16 is divided by t?
7
Let y(t) = t**2 + 6*t + 1. Let m be y(-6). What is the remainder when 25 is divided by 12 + (8/4 - m)?
12
Let v = 143 - 88. Let f = 3 + 11. What is the remainder when v is divided by f?
13
Let n(b) = -b**2 - 3*b + 25. Calculate the remainder when n(-6) is divided by 7.
0
Let d = -39 - -59. Suppose 0*q + 4*q = 2*x - 24, 2*q = 3*x - d. What is the remainder when 6 is divided by x?
2
Let v = 57 + -38. Let d(a) = -47*a - 5. Let s be d(-4). Let r = s + -128. What is the remainder when r is divided by v?
17
Let w(z) = -z. Let d(x) = x**3 - 5*x**2 - 8*x - 6. Let i(v) = -d(v) + 4*w(v). Let q be i(6). Calculate the remainder when 49/3 - 4/q is divided by 6.
5
Let i(u) = -6*u - 5. Suppose -11 = -5*m + 49. What is the remainder when m is divided by i(-2)?
5
Let p(m) = 2*m - 5. Let o be p(5). Suppose -10 = -o*g + 55. Calculate the remainder when 25 is divided by g.
12
Let h = 68 + -45. What is the remainder when h is divided by 8?
7
Let i be 2/(-4) - (-68)/8. Calculate the remainder when 218/8 - 2/i is divided by (6/12)/(1/28).
13
Let u(x) = 2*x + 2. Let z(a) = a - 1. Let y(i) = u(i) - z(i). Calculate the remainder when ((-1)/(2/(-38)))/1 is divided by y(7).
9
Suppose -46 = -2*h - 2*p, 0 = 2*p + 1 + 3. Suppose 208 = 28*u - 12*u. What is the remainder when h is divided by u?
12
Suppose -2*c + 6 = -4, 2*c = 3*y - 5. Calculate the remainder when 28 is divided by y.
3
Suppose w - 6*w = -40. What is the remainder when w is divided by 5?
3
Let l(c) = 8*c - 4. Suppose 18*v - 234 = 15*v. Calculate the remainder when v is divided by l(3).
18
What is the remainder when 19 is divided by 46/4 - 10/20?
8
Let o(g) = g + 5. Let d be o(-5). Suppose d*t + 212 = 4*t. Let h = 16 - 2. What is the remainder when t is divided by h?
11
Suppose 4*t + 2*w - 18 = 4*w, t - w - 6 = 0. Calculate the remainder when t is divided by 3.
0
Suppose 2*k + 0*w = 5*w + 6, 0 = 3*k + 2*w - 9. Calculate the remainder when 10 is divided by k.
1
Suppose 0 = 2*u - 52 - 8. Suppose -3*m + u = -3. What is the remainder when m is divided by 3?
2
Suppose -2*j = -101 + 15. What is the remainder when 82 is divided by j?
39
Let f(q) = -q + 5. Let p be f(6). What is the remainder when 13 is divided by p/(-1)*(5 + -1)?
1
Let l = -4 + 5. What is the remainder when 22/3*(2 + l) is divided by -8*(-1 + 2)*-1?
6
Suppose -t - 16 = -2*t. Calculate the remainder when t is divided by 27/(-6)*(-5 + 3)*1.
7
Suppose 2*j + 20 = 6*j. Suppose -4*g - 56 = -j*g. Suppose 8*t = 3*t + 4*y + 70, 4*t - g = 4*y. Calculate the remainder when t is divided by 8.
6
Let j = -35 - -71. What is the remainder when 141 is divided by j?
33
Let b = 25 + -13. Calculate the remainder when 47 is divided by b.
11
Let a = -6 + 19. Suppose -x = 2*r + r - 63, 3*x + 2*r - 161 = 0. Calculate the remainder when x is divided by a.
12
Let x = 14 + -10. Let k = -5 + x. What is the remainder when 11 is divided by 3 + (-1 + k - -5)?
5
Let j = -40 + 58. Calculate the remainder when 52 is divided by j.
16
Suppose 0 = -a + 4*k - 9, 2*a + 5*k - 6 - 15 = 0. Suppose -3*t + a*w = -78, -3*t + w - 10 = -78. What is the remainder when t is divided by 2/5 - (-53)/5?
10
Suppose -44 = -l - 0*l. Calculate the remainder when l is divided by 15.
14
Let j be (-1 - -1) + 2 + 1. Let z be 3 - 0 - 0 - 1. Suppose j*t - 2*b + 0*b - 10 = 0, -t - z*b + 14 = 0. What is the remainder when t is divided by 4?
2
Let g be 2 - (-39)/(-9)*3. What is the remainder when 18 is divided by 1 + g/(-1) - 2?
8
Suppose -2*s + 31 + 111 = 0. What is the remainder when s is divided by 37?
34
Let t(z) be the first derivative of z**2/2 - 1. Calculate the remainder when 27 is divided by t(8).
3
Suppose -i + 1 + 10 = 0. What is the remainder when 21 is divided by i?
10
Let u(a) = -a - 14. Let o be u(-10). Let k = o - -6. What is the remainder when 4 is divided by k?
0
Let j = -1 + 6. Suppose 32 = j*z + 12. Calculate the remainder when 4 is divided by z - (-1 - (-6)/3).
1
Let h(i) = i**2 - i + 1. Let a be h(2). What is the remainder when 16 is divided by (11 + -2)*a/3?
7
Let y(b) = -2*b**2. Let x be y(-1). Let u = 6 + x. Suppose -3*n = -2*m - 6*n + 95, u*m - 178 = -2*n. What is the remainder when m is divided by 15?
13
Suppose 2*q = -2*q + 60. Let g(o) = o**3 - 16*o**2 + 19*o - 13. Calculate the remainder when g(q) is divided by 12.
11
Suppose -3*r + 2088 = -5*r. Calculate the remainder when (-15)/(-35) + r/(-14) is divided by 19.
18
Let t be (-6)/(-33) - (-216)/22. Let c = 6 - t. What is the remainder when (c/(-8))/(1/6) is divided by 2?
1
Suppose 32 = 4*s + 2*a, -2*a = 6*s - 9*s + 24. Calculate the remainder when s is divided by 3.
2
Let q = 5 + -3. Suppose q*n - 6*n = -20. Calculate the remainder when 13 is divided by n.
3
Suppose -2*i = -0*s - s, -18 = -2*s - 2*i. Let z = 41 - 15. Let b = z + -16. What is the remainder when b is divided by s?
4
Let w(o) = -4*o**3 - 5*o**2 - 6*o - 3. Let f be w(-4). Suppose -7*p = -l - 2*p + 35, 4*l - f = p. Calculate the remainder when l is divided by 13.
11
Let v(u) = -u**3 - 13*u**2 - u - 3. Calculate the remainder when 79 is divided by v(-13).
9
Suppose 7*w - 2*w - 485 = 0. What is the remainder when w is divided by 25?
22
Let r = 19 - -5. Suppose -8*t = -3*t. Let b = t - -13. What is the remainder when r is divided by b?
11
Suppose 3*i - 2 = 4. Suppose 4*z - 12 = 0, -i*c + 0*z + 35 = 5*z. Calculate the remainder when 29 is divided by c.
9
Let p(l) = -8*l - 3. What is the remainder when 22 is divided by p(-2)?
9
Suppose 90 = 4*l - 18. What is the remainder when 53 is divided by l?
26
Let x(l) = l**3 + 3*l**2 - 3*l - 4. Suppose 3*m - h - 16 - 22 = 0, -3*m + 5*h = -22. What is the remainder when m is divided by x(-3)?
4
Suppose 47*v - 96 = 41*v. What is the remainder when 24 is divided by v?
8
Let a(g) = -6*g - 1. Let w(c) = -c**3 - 24*c**2 + 51*c + 56. What is the remainder when w(-26) is divided by a(-3)?
14
Suppose -5*w = 6 + 4. Let q be (w + 0)*(-365)/(-10). Let c = q - -116. What is the remainder when c is divided by 15?
13
What is the remainder when 50/75 - (-272)/6 is divided by 10?
6
Let d(k) = 17*k + 1. Let m = 60 - 50. Calculate the remainder when d(1) is divided by m.
8
Suppose -4 = -2*t + 4*k + 66, -5*k - 125 = -4*t. Calculate the remainder when t is divided by 7.
4
Suppose -2*v + 2 = -4*b, -b - b - 2 = -2*v. Suppose -3*x + 68 + 145 = b. Suppose -3*w = -78 + 6. What is the remainder when x is divided by w?
23
Let u(v) = 7*v + 12. What is the remainder when u(10) is divided by 21?
19
Let y = 42 + -1. Calculate the remainder when y is divided by 21.
20
Let c(k) = 4*k**2 - k - 1. Let a be c(-1). Suppose -3*i + 56 = -i. What is the remainder when i is divided by 4/a + 9 + 0?
8
Let g be 6/(-21) - 2610/(-21). Suppose -4*l = 5*o - 164, 4*l + 2*o - g - 28 = 0. Calculate the remainder when l is divided by 13.
10
Let j(t) = t**2 - 3*t + 5. Let q be j(5). Let a = q + -8. Calculate the remainder when 13 is divided by a.
6
Let r be 15/(-3)*-2 - 2. Suppose -12 = -2*x - r. What is the remainder when 7 is divided by x?
1
Let a be (-4 + 2)/(6/9 + -1). Suppose 0*i = 5*i - 165. Suppose -v + 2*n = a*n + 9, 3*v - i = 3*n. Calculate the remainder when 18 is divided by v.
4
Calculate the remainder when 41 is divided by (-8)/28 - (3 + 100/(-7)).
8
Let p = 131 - 51. Calculate the remainder when p is divided by 42.
38
Let d = 5 - 5. Let g = 0 + d. Suppose g = -5*p + 228 - 23. Calculate the remainder when p is divided by 14.
13
Let k(h) = -h**3 + 6*h**2 + 6*h - 9. Let i be k(7). Let m(r) = -2*r**2 + 8*r + 1. Let c be m(6). Let a = i -