
4
Let r = -59 - -66. Let s = 12 + 1. Calculate the remainder when s is divided by r.
6
Let j = 1 + 3. Suppose b - 4 = j*r + 20, r + 5 = 0. Calculate the remainder when b is divided by 2.
0
Let f(v) = 12*v + 7. What is the remainder when f(3) is divided by 11?
10
Suppose 0 = -14*u + 2231 + 37. What is the remainder when u is divided by 33?
30
Let f(u) = u**3 + 5*u**2 + 2*u + 3. Let c be -4 + 1 + (8 - 7). What is the remainder when 32 is divided by f(c)?
10
Suppose 13 = 3*q + 5*f, -3*q + 25 = -0*q + 2*f. Calculate the remainder when 0/(0 + 1) - -41 is divided by q.
8
Let x(v) = -3*v**2 + 2*v + 5. Let o be x(-5). Let a = 113 + o. What is the remainder when a is divided by 12?
9
Suppose 4*b = 6 - 90. Let y be 12/b*(-7)/2. Suppose 10 + y = 3*l. Calculate the remainder when 6 is divided by l.
2
Let q(r) = -r + 10. Let g be q(7). Suppose -14 = -9*p + 4*p - 3*u, g*p - 5*u - 22 = 0. Calculate the remainder when 0 - (-4)/(p/27) is divided by 15.
12
Let o = -113 - -1. Let c = -75 - o. Suppose -k + 11 = -2. Calculate the remainder when c is divided by k.
11
Suppose 2*d + 0*d = 6. Suppose -d*l = -15, m - l + 0*l = 56. What is the remainder when m is divided by 21?
19
Suppose 6*u + 6 - 78 = 0. What is the remainder when 32 is divided by u?
8
Let u(a) = -6 + 3 + 2 - 3 - a. Let p(v) = v**3 + 4*v**2 - 2*v. Calculate the remainder when u(-19) is divided by p(-4).
7
Let n(o) = -11*o**2 - o - 1. Let r be n(3). Let i = 379 + r. Suppose -v = -5*v + i. Calculate the remainder when v is divided by 18.
15
Let b be (0 - -1)/(2/6). Suppose -3*y = -t + 10, t = 5*y - b*y + 9. Let a = 28 - 15. What is the remainder when a is divided by t?
6
Let r be -10*3/6*-1. Suppose -r*f - 3*s + 2 = 0, 0 = 3*f - 0*s + 3*s. What is the remainder when 1 is divided by f?
0
Let c(l) = -3*l + 8. Calculate the remainder when c(-10) is divided by 10.
8
Let j(u) be the first derivative of 3*u**4/2 - u**3/3 + u**2/2 - 1. Calculate the remainder when j(1) is divided by 4.
2
Let h be (-388)/(-14) - (-2)/7. What is the remainder when (h/10)/((-11)/(-110)) is divided by 10?
8
Let q(t) = 3*t - 2. Let c = 3 - 0. What is the remainder when 25 is divided by q(c)?
4
Suppose f - 3*f - 3*x = -18, -4*f = -x - 8. Suppose 40 = f*m + 2*m. What is the remainder when 15 is divided by m?
7
Let m = -28 - -84. What is the remainder when 220 is divided by m?
52
Let s(r) = 2*r - 1. Calculate the remainder when 131 is divided by s(10).
17
Suppose -2 = 3*t - 5. Let y(b) = b**2 + b. Let w(j) = 11*j**2 + 2*j - 4. Let m(c) = t*w(c) - 5*y(c). What is the remainder when m(3) is divided by 21?
20
Let a be -11*3/(-4 - -1). Suppose -a - 19 = -5*i. Calculate the remainder when 11 is divided by i.
5
Let i(g) = -7*g**2 - g**3 - 5*g**3 + 5*g**3 + g + 10. What is the remainder when 11 is divided by i(-7)?
2
Let y(u) = -6*u + 138. What is the remainder when y(19) is divided by 2/4 + (-9)/(-2)?
4
What is the remainder when 2/1 - 1818/(-18) is divided by 26?
25
Suppose 4*h - 109 = -l - 33, h = 3*l + 19. What is the remainder when 35 is divided by h?
16
Calculate the remainder when (-2 - -4)*-2*353/(-4) is divided by 59.
58
Suppose 0*m - 4 = -4*m. Calculate the remainder when m + 21 + -2 - 1 is divided by 7.
5
Let l = 109 - 72. Suppose u - l = -5*f + 3*u, -4*u + 52 = 4*f. What is the remainder when 34 is divided by f?
7
Suppose -13 + 43 = 5*r. What is the remainder when 11 is divided by r?
5
Let g = -13 - -55. Let j(t) = t**2 - 15*t - 1. Calculate the remainder when g is divided by j(16).
12
Let c be (-7)/(-3) + (-4)/(-6). Suppose -2*d + 175 = c*d. What is the remainder when d is divided by 18?
17
Suppose 3*o + t = 40, 4*t + t = -10. Let j = 86 + -60. Calculate the remainder when j is divided by o.
12
Suppose 13*g - 8*g = 730. Calculate the remainder when g is divided by 25.
21
Suppose -3*t + 162 = 3*t. Calculate the remainder when t is divided by 15.
12
Let g(r) be the third derivative of r**6/120 + r**5/10 + r**4/8 + r**3/3 + r**2. Suppose 5*z = -39 + 14. Calculate the remainder when 34 is divided by g(z).
10
Suppose -8*j + 9*j - 13 = 0. Calculate the remainder when 89 is divided by j.
11
Suppose -5*s + 67 = -4*u, -u + 47 = 5*s - 2*s. Suppose 3*k + 4*i = 128, 2*i - 5*i - 47 = -k. What is the remainder when k is divided by s?
14
Let b = 62 - 19. What is the remainder when b is divided by 11?
10
What is the remainder when 85 is divided by 3/((-3)/55)*2/(-5)?
19
Suppose 0 = n - 4*o - 9, -3 - 9 = -2*n + 2*o. Let g(c) = c + 2. What is the remainder when 19 is divided by g(n)?
5
Let c = 30 - 17. Let z = c - 9. Suppose -m + z*m - 12 = 0. What is the remainder when 10 is divided by m?
2
Suppose -5*o - 4*g = -30, -o + 5*o - 13 = -g. Let k(z) = 15*z**3 + z**2 + 2*z + 1. Let x be k(-1). What is the remainder when (x/o - 1)*-2 is divided by 6?
5
Let p = -8 + 13. Suppose -10 = -p*a, 0*o - o - 5*a = -21. Let s = 53 - 21. What is the remainder when s is divided by o?
10
Suppose -o - 150 = -42. Let c = o + 159. What is the remainder when c is divided by 14?
9
Let t(f) = -f + 4. Let a(m) = 3*m + 2. Let u be a(-4). What is the remainder when t(u) is divided by 6?
2
Let x(t) = t**2 + 9*t + 1. Calculate the remainder when 4 is divided by x(-9).
0
Let g(j) = 11*j - 1. Let s(r) = 8*r + 3. Let l be s(4). Suppose -2*q = 3*u - l, -3*u - 5*q - 1 + 21 = 0. Calculate the remainder when g(4) is divided by u.
13
What is the remainder when (2 + -4 + 3)*(-4 - -21) is divided by 6?
5
Suppose -a + 2 = -1. Suppose 0 = -2*h + 5 + 5, 4*l - a*h = 13. Suppose 13 = 4*n - 39. Calculate the remainder when n is divided by l.
6
Suppose 2*g - c - 72 = 6, 0 = -4*g - 2*c + 156. What is the remainder when 77 is divided by g?
38
Suppose 3*n = -n + 8. Suppose n*i = -433 - 763. Calculate the remainder when 2/(-11) - i/22 is divided by 14.
13
Let y(z) be the third derivative of -z**6/120 - 3*z**5/20 - 3*z**4/8 - 4*z**2. Calculate the remainder when y(-8) is divided by 5.
3
Suppose -3*a - 7 = -1, 105 = 3*q - 3*a. What is the remainder when q is divided by 7?
5
Suppose 5*q - 204 = 4*z + 72, -5*q = -3*z - 272. Calculate the remainder when q is divided by 18.
16
Let t be (-231)/9 + (-2)/(-3). Let d = t - -51. Let l(j) = j**3 - 4*j**2 - 4*j + 4. Calculate the remainder when d is divided by l(5).
8
What is the remainder when 20 is divided by (-14)/49 + 132/21?
2
Suppose 2*y - 1 - 27 = 0. What is the remainder when 24 is divided by y?
10
Let q(n) = 3*n. Let y be (-4 + 2)*1 - -4. Suppose y*o - 44 = -2*o. Calculate the remainder when o is divided by q(2).
5
Let z = 1 + -3. Let j = 9 + z. What is the remainder when 13 is divided by j?
6
Let j(b) = b**2 - b. Let r be j(2). Suppose 17 = 5*k + r. Calculate the remainder when 4 is divided by k.
1
Suppose -4*n + 352 = 128. Let f be (6/(-2))/((-3)/(-2)). Let p(w) = -3*w**3 - w**2 + 2*w + 3. Calculate the remainder when n is divided by p(f).
18
Suppose u = -u + 84. What is the remainder when u is divided by 11?
9
Let f(u) = -u**3 - 1 + 5 - 10*u**2 - 7*u + 2*u**2. Let x be f(-7). Let n = x + -1. Calculate the remainder when 8 is divided by n.
2
Suppose 4*r - 3*t = r - 15, -2*t = r - 1. Suppose -3*q - 27 - 3 = 0. Let y = r - q. Calculate the remainder when 19 is divided by y.
5
Suppose -8 = -a + 12. Let v(b) = b**2 + 4*b - 5. Let r(o) = o**3 + 7*o**2 + 8*o + 6. Let q be r(-6). Calculate the remainder when a is divided by v(q).
6
Suppose 0 = -3*g + 5*g - 28. Let i(s) = s**3 - 18*s**2 + 34*s + 7. What is the remainder when i(16) is divided by g?
11
Let f(x) = 2*x - 5. Let o = -41 + 45. What is the remainder when f(6) is divided by o?
3
Let d(u) = 6*u - 2. Calculate the remainder when 37 is divided by d(2).
7
Let w = 15 - 13. Suppose -m + 5*m = u - 6, -4*u + 7 = m. What is the remainder when u is divided by w?
0
Let v be (-1)/3 + (-13)/(-3). Suppose 21 + v = 5*l. Calculate the remainder when 11 is divided by 28/l - 2/(-5).
5
Let t(n) = n**2 + n. Let i be t(0). Suppose v + v - 36 = i. Calculate the remainder when 35 is divided by v.
17
Suppose -3*o - 2*t + 56 = 0, -5*o + 3*o - 5*t = -52. Calculate the remainder when 63 is divided by o.
15
Let k = -34 + 58. What is the remainder when k is divided by 12?
0
Let u = 6 - 3. Suppose -4*d - 2*g + 1030 = 0, -u*d + 517 = -d - g. Calculate the remainder when 2/2*d/6 is divided by 22.
21
Suppose 0*z + 15 = z. Su