 n(v) = 3*v**2 + 5*v - 1. Suppose 3*z - 42 = -3*y, -y + 14 = z + y. What is the remainder when n(-4) is divided by z?
13
Suppose -t + 12 + 103 = 3*l, 4 = -2*t. Calculate the remainder when l is divided by 20.
19
Suppose -1624 = 4*b + 1784. Let r be 16/6*b/(-16). Suppose 4*o - r = 54. What is the remainder when o is divided by 17?
15
Let b(y) = y**3 + 1. Let a be b(1). Let g be (a - 3)*(2 + -2). Suppose 4*z = -g*z + 56. Calculate the remainder when z is divided by 8.
6
Let c(w) = w**3 + 7*w**2. Let f be c(-7). Suppose -r + 0*r + 52 = 0. Suppose f*q - 4*q = -r. Calculate the remainder when 49 is divided by q.
10
Let o(t) = -t**3 - 7*t**2 - 2*t - 9. Calculate the remainder when 9 is divided by o(-7).
4
Let d(t) = 5*t - 17. Calculate the remainder when 67 is divided by d(8).
21
Suppose 4*r - 5*r + 25 = 0. Suppose 4*f - 6*f + 5 = z, f - r = -2*z. What is the remainder when z is divided by 8?
7
Suppose -2*d + 72 = 5*r - 18, 3*r = 12. Let n = d + -21. Calculate the remainder when 26 is divided by n.
12
Let a = -1 + 5. Calculate the remainder when 10 is divided by -1 - a/(-1) - -1.
2
Let y(l) = -l**3 + 14*l**2 + 2. Calculate the remainder when 6 is divided by y(14).
0
Let n(p) = 4*p - 8. Let f = -2 + 4. Suppose -f*m + 141 = m. What is the remainder when m is divided by n(6)?
15
Let c = 16 + -10. Suppose -2*r + j + 23 = 0, -3*j - 3 = -0. Calculate the remainder when r is divided by c.
5
Let u = -3 - -9. Suppose -u = 5*l - 31. Suppose i + 3*g + 1 = -1, l*i - 75 = 2*g. Calculate the remainder when 37 is divided by i.
11
Suppose 20 = 4*f - o + 2*o, 2*f - 16 = -2*o. Suppose 0 = -f*v + 5*v - 4. Calculate the remainder when 11 is divided by v.
3
Let s = 68 + -19. Suppose u - 4 + 2 = 2*w, u = -5*w + 9. Calculate the remainder when s is divided by (u/(-6))/(6/(-153)).
15
Let i(t) = t**2 - 13*t - 9. Calculate the remainder when i(16) is divided by 10.
9
Suppose 5*v - 5*f = -0*v + 110, v - 26 = 3*f. Let h(p) = 4*p**2 - 44*p + 11. Calculate the remainder when h(12) is divided by v.
19
Let b = -13 + 24. Calculate the remainder when b is divided by 3.
2
Let a = 2 + 21. Suppose 137 - 20 = 9*s. Calculate the remainder when a is divided by s.
10
Let f = 24 - 17. Calculate the remainder when 17 is divided by f.
3
Suppose -5 + 47 = 3*x. What is the remainder when x is divided by ((-1)/3)/((-2)/30)?
4
Suppose 0 = 4*g + 4*l - 0*l - 68, -4*l + 8 = g. What is the remainder when 55 is divided by g?
15
Let g be 2*-2*(-15)/12. Let r = g - -7. Suppose 5*l + 23 = 6*l. Calculate the remainder when l is divided by r.
11
Let b = -5 + 5. Suppose b = 3*r - 2 - 13. What is the remainder when 14 is divided by r?
4
Let u = 12 - 5. Calculate the remainder when u is divided by 5.
2
Let l be (3 - -2)*(-30)/25. What is the remainder when 67 is divided by 69/(-2)*4/l?
21
Let m = -1 - -9. Let b = 21 - -2. Let z = b - m. What is the remainder when 44 is divided by z?
14
Let s = 8 + -5. Calculate the remainder when s/(1 + 5)*58 is divided by (-742)/(-91) + 2/(-13).
5
Suppose 30 = a + 2*a. Suppose 33 = 5*q - 8*q. Let d = q + 17. Calculate the remainder when a is divided by d.
4
Suppose -5*j + m = -71, -2*j - 2*m + 5*m + 18 = 0. Suppose -5*n + 300 = 3*z, 0*n = n + 3*z - 72. Calculate the remainder when n is divided by j.
12
Let n = 104 + -62. Suppose -25*k = -28*k + 9. Suppose 0 = 2*u + k - 33. Calculate the remainder when n is divided by u.
12
Let l(s) = s**3 + 8*s**2 + 3. What is the remainder when l(-4) is divided by 17?
16
Let a(t) = 24*t + 1. Let d be a(4). Let c = d + -30. Let s = c - 34. Calculate the remainder when s is divided by 17.
16
Suppose 0 = 5*j + 2*l - 561, 5*j + 6*l = l + 570. Calculate the remainder when j is divided by 29.
24
Suppose 3*q - 3 = 3. Let v(g) = -2*g**2 + 2*g - 2. Let y be v(q). Let n = 12 + y. Calculate the remainder when 16 is divided by n.
4
Let m be 8/28 - (-52)/14. Suppose -3*w - 62 = -5*q + 2, -m*q - 2*w + 60 = 0. What is the remainder when 40 is divided by q?
12
Let y(j) = 5*j**2. Suppose k - c - 4 = 4*k, -4*k - 3*c = 7. Let n be y(k). Let t(s) = s**2 - 5*s + 6. What is the remainder when 17 is divided by t(n)?
5
Suppose 5*c + 859 = -401. Calculate the remainder when (2 - 4) + c/(-7) is divided by 12.
10
Suppose -g = -0*g - 16. What is the remainder when g is divided by 6?
4
Let s = 0 + 0. Suppose 335 = 5*f - 6*p + 4*p, s = -3*p - 15. Calculate the remainder when f is divided by 17.
14
Let v(a) = 11*a - 1. Let w be v(6). Let u = w - 34. Suppose 0 = -5*n + 6 + 49. What is the remainder when u is divided by n?
9
Let l = 6 + 7. Let w(q) = 2*q**2 - q - 7. Suppose o = 0, 3*d + 3*o - 15 = 2*o. What is the remainder when w(d) is divided by l?
12
Suppose -2*u = -15 - 3. Suppose -2*h + 23 = -11. Calculate the remainder when h is divided by u.
8
Let p = 9 + -1. Calculate the remainder when -45*(2 - (-40)/(-15)) is divided by p.
6
Let q(g) = -g**3 + 4*g**2 - 3*g. Let r be q(2). Suppose -3*b - r*n - 32 = 0, -2*n + 36 = -4*b + 2*n. Calculate the remainder when 5 is divided by 3/(-5) - 26/b.
1
Let x be (0 + 1)/(4/8). Let y = 1 + x. Calculate the remainder when 7 is divided by y.
1
Suppose 5*b - 28 + 3 = 0. What is the remainder when b is divided by 3?
2
Suppose 0 = 2*o - 4*c - 70, 2*c - 39 = -o - 0*c. Suppose -5*x + 97 = -a, -4*a = -4*x - 0*a + 84. What is the remainder when o is divided by x?
18
Suppose -4*n = -d + 3*d - 82, -3*d + 130 = -n. What is the remainder when d is divided by 17?
9
Let m(z) = 4*z + 3. Let t be m(3). Suppose -c + 2*q = -33, -c = 4*c - 5*q - 145. Let x = c - t. What is the remainder when x is divided by 6?
4
Let m(x) = 3*x + 6. Suppose -4 = -2*s, -3*u + s + 10 = u. What is the remainder when m(u) is divided by 8?
7
What is the remainder when 84 is divided by -2 + 8 + 2 + -3?
4
Let h = -42 - -46. Let c(t) = t - 1. Let g be c(-1). Calculate the remainder when g/h*0 - -32 is divided by 11.
10
Let s be 2/(-3)*(-9)/2. Suppose 0*k + s*k = 24. Calculate the remainder when 21 is divided by k.
5
Suppose 0 = 3*t + 4*s - 55, -5*t - 5*s + 73 = -3*s. Calculate the remainder when t is divided by 8.
5
Let h(x) = 17*x**2 + x + 1. Let b = -4 - -3. Suppose 13 = 5*d - 17. Calculate the remainder when h(b) is divided by d.
5
Suppose 3*o + 93 = -5*s, -5*s - 73 = 4*o + 46. Let t = o - -59. What is the remainder when t is divided by 9?
6
Suppose 0 = 4*t - 4*a + 2*a - 90, t - 3*a = 25. Suppose t = 4*h - 2*h. What is the remainder when 19 is divided by h?
8
Let i = -132 + 242. Calculate the remainder when i is divided by 16.
14
Let g = 60 - 52. Let r(q) = -q**3 - 5*q**2 - 5*q - 3. Let b be r(-4). Let k = b - -4. Calculate the remainder when g is divided by k.
3
Let g = -11 - -16. Suppose -g*c + 4 = -16. Suppose -7*r + 49 = -2*r + 4*s, 5*s + c = r. Calculate the remainder when 33 is divided by r.
6
Let v = 3 - 8. Let h = 1 - v. Calculate the remainder when 37 is divided by ((-39)/h*2)/(-1).
11
Let v(l) = l + 13. Let g be v(0). Suppose 0 = 3*k - g + 1. Calculate the remainder when 21 is divided by k.
1
Let y = 16 - 8. Suppose 3*f = -2*i + 58, -3*f + 116 = 4*i - f. Calculate the remainder when i is divided by y.
5
What is the remainder when 43 is divided by 37/3 + -1 + (-18)/54?
10
Let j = -11 - -13. Let y(s) = 11*s - 1. What is the remainder when 40 is divided by y(j)?
19
Let k = 11 + -1. Calculate the remainder when 37 is divided by k.
7
Let v(o) be the third derivative of -o**6/60 - o**5/60 - o**4/24 - o**3/6 - o**2. Suppose 8*q - 3*q - 25 = 0. What is the remainder when v(-2) is divided by q?
3
Suppose -2*u - 2 = -4*z - 0, 4*z + 1 = 3*u. Let n = 3 - -1. Calculate the remainder when n is divided by z/11 + 62/22.
1
Suppose 2*b = 5 - 3. Let t(n) = -4*n + 1. Let z be t(1). What is the remainder when b is divided by 16/12 - (-1)/z?
0
Let d = 32 - 27. Let q(l) = 4*l - 10. What is the remainder when q(8) is divided by d?
2
Let v(l) be the second derivative of -l**5/20 + 7*l**4/12 - l**3/6 - 4*l**2 + l. What is the remainder when v(6) is divided by 8?
6
Suppose -4*d - 102 = -d. Let i = d + 47. Suppose 2*s + 2*r = 18, 6*s - 3*s - i = 4*r. Calculate the remainder when 20 is divided by s.
6
Calculate the remainder when 37 is divided by 9/(-72) - 195/(-24).
5
Let a be 1 - 0/(-4 - -2). Let p(y) = 5*y**3 - y**2. Let f be p(a). Suppose f*t - 8 = -0. Calculate the remainder when 6 i