c = -3*c - 12. Let s(b) = -17*b**3 - 3*b**2 - b + 1. What is the remainder when s(-1) is divided by t?
4
Suppose -3*t - 81 = -5*a, 2*t + t = -6. Calculate the remainder when (-3*22)/(3/(-2)) is divided by a.
14
Let b = -40 - -64. What is the remainder when 92 is divided by b?
20
Suppose 4*w - 31 = -3*t, 3*w + t - 24 = -t. Calculate the remainder when 35 is divided by w.
5
Let m = 22 + 2. Calculate the remainder when 34 is divided by m.
10
Let w = 14 - 10. Let o(x) = -x + 13. Calculate the remainder when w is divided by o(11).
0
Suppose 39 = 2*h + h. What is the remainder when 7/(7/(-38))*-1 is divided by h?
12
Let m(v) = v**3 + 5*v**2 - 5*v - 2. Let t(d) = 0 + 2*d + 0. Let w be t(-2). Calculate the remainder when m(w) is divided by 12.
10
Let t be 1*2/4*-12. Let w(f) = -11*f - 1. What is the remainder when (-24)/(-1)*t/(-8) is divided by w(-1)?
8
Let n = -19 + 30. Calculate the remainder when n is divided by 6.
5
Suppose 3*z = 2*p + 180, -4*z + 2*p + 122 = -118. Suppose -2*n - z = -4*n. What is the remainder when n is divided by 16?
14
Suppose -7*c + 293 + 183 = 0. Calculate the remainder when c is divided by 24.
20
Suppose r - 4*n + 1 = 0, -22 = -5*r + 3*n + 7. Calculate the remainder when r is divided by 5.
2
Suppose 0 = t + 4*t - 55. Suppose -5*k = -3*b + 36 + 62, -4*b - k + 123 = 0. What is the remainder when b is divided by t?
9
What is the remainder when 75 is divided by 20/80*(163 + 1)?
34
Let b be (3/(-5))/(4/(-20)). Suppose -b*n = -3*h - 2*n + 2, 2*h - n = 0. Suppose 50 = 3*d + h*d. What is the remainder when d is divided by 6?
4
Suppose -3*t = -u - 128, 0 = -4*t + 3*u - 0*u + 174. What is the remainder when t is divided by 12?
6
Calculate the remainder when (-1*96)/(2 - (8 - 5)) is divided by 33.
30
Let y(r) = 11*r - 2. Calculate the remainder when y(7) is divided by 19.
18
Let s(f) = f**2 + 5*f + 15. Calculate the remainder when s(-6) is divided by 2.
1
Let l = 50 - 34. Suppose 24 = 3*i - 4*p, 5*i + 4*p = 88 - l. Calculate the remainder when i is divided by 5.
2
Let f(o) = o**2 + o + 1. Let j be f(-2). Suppose -3*k - 5*a + 16 = -j, k + 7 = -5*a. Let g(c) = c**2 + 25. What is the remainder when g(0) is divided by k?
12
Let r = -83 - -151. Suppose 2*z = -5*m + 26, 4*z + 3*m = 6*m + 104. Calculate the remainder when r is divided by z.
22
Let r = 202 + -142. Suppose a + 4*a = r. What is the remainder when a is divided by 5?
2
Suppose 0 = -0*c + 4*c - 168. Let h = c - 19. What is the remainder when h is divided by 6?
5
Let n(x) be the second derivative of -5/2*x**2 + 4*x - 5/6*x**3 + 0. What is the remainder when n(-4) is divided by 6?
3
Let g(m) = 2*m**3 + 9*m**2 - 10*m + 1. Calculate the remainder when 77 is divided by g(-5).
25
What is the remainder when 33 is divided by (-53 - -1)/(-4) - 4?
6
Let u = 2 + 6. Suppose -2*w = 2*z - 22, 4*z - u = 2*z. Calculate the remainder when w is divided by 4.
3
What is the remainder when (-1488)/(-21) + 7/49 is divided by 37?
34
Let c(t) = -t**3 - 4*t**2 - t - 4. Let b be c(-4). Calculate the remainder when (-9 - -19)*(5 + b) is divided by 13.
11
Let b(g) = -g**2 - 15*g + 4. Let h be b(-7). Suppose h = 2*n - r, r + 37 = n + 4*r. Let m(i) = 4*i. What is the remainder when n is divided by m(4)?
15
Suppose -3*w + w - 20 = 0. Let f(u) = u**3 + 11*u**2 + 8*u + 11. What is the remainder when f(w) is divided by 99/6 - 2/4?
15
Suppose 0 = 4*c + 1 - 29. Calculate the remainder when 19 is divided by c.
5
Suppose 2*d - 4*y = 38, -y - 3*y = 5*d - 53. Let w(u) = 4*u**2 + 2*u + 1. Let b be w(-1). Let o = b + 4. What is the remainder when d is divided by o?
6
Let l be (-9)/1*(19 - 4). Let b = 15 + l. What is the remainder when (b/9)/((-1)/3) is divided by 21?
19
Suppose -5*v - o + 737 = 0, 9 = -o - 2*o. Calculate the remainder when v is divided by 50.
48
Let a(l) = 13*l**2 - l. What is the remainder when a(-1) is divided by 8?
6
Suppose 0 = -0*q + 4*q - 52. Calculate the remainder when 37 is divided by q.
11
Let q be ((-81)/(-36))/((-1)/4). What is the remainder when ((-21)/(-9))/((-3)/q) is divided by 4?
3
Suppose 6*r - r - 265 = 0. Calculate the remainder when r is divided by 11.
9
Suppose -2*n + 6*n = -48. Suppose 44 = 5*p - p. Calculate the remainder when p is divided by 2/n + 74/12.
5
Let b = -26 + 32. Calculate the remainder when 14 is divided by b.
2
Suppose 7*l - 3*l = 0. Suppose l = 4*o - 6 - 2. Calculate the remainder when 5 is divided by o.
1
Let z be ((-1)/2)/(18/(-180)). Suppose -2*o - z = -19. What is the remainder when 25 is divided by o?
4
Let b(h) = -43*h + 1. Let o be b(-1). Suppose -d - 3*d + o = 0. What is the remainder when d is divided by (-3)/((-6)/4) + 4?
5
Let d(o) = 8*o + 9. Let u be d(4). Suppose -3*z + 22 = -u. Calculate the remainder when z is divided by 12.
9
Suppose 0 = -k - 4*k + 30. Calculate the remainder when k is divided by 2.
0
Let x(i) = -i**2 - 9*i - 3. Suppose 3*q = -0*q - 21. Let z(m) = 4*m. Calculate the remainder when x(q) is divided by z(1).
3
Let j(m) = m + 11. Suppose -5*y - 14 = 31. What is the remainder when 2 is divided by j(y)?
0
Suppose 1 = -5*j - t + 6, -4*j + t + 13 = 0. Calculate the remainder when (-44 + 7)/(1 - j) is divided by 10.
7
Let z = 227 + -83. Let q = z - 77. Calculate the remainder when q is divided by 17.
16
Suppose 26*l = 20*l + 66. Let h(q) = q**3 + q + 43. Calculate the remainder when h(0) is divided by l.
10
Let a = -3 + 2. Let p(v) = -6*v - 6. Calculate the remainder when a + (-70 + 0)/(-2) is divided by p(-3).
10
Suppose 0*a = -4*a - 5*f + 46, 2*a - 4*f = 36. What is the remainder when 38 is divided by a?
10
Let m = -65 - -73. What is the remainder when 20 is divided by m?
4
Let d = 3 - 2. Let b(m) = m**3 + m**2 - m + 2. Let a be b(0). Let x = a + -1. Calculate the remainder when d is divided by x.
0
Suppose -234 = -5*n - 14. Let q be 15/(-9) + (-1)/3. Let o(z) = -2*z**3 + z**2 - 3*z - 3. Calculate the remainder when n is divided by o(q).
21
Let p be 1 + (-2 - -3)/(-1). Let r(k) = k**2 + 3*k - 7. Let s be r(-6). Suppose 0 = -p*g + g - s. Calculate the remainder when g is divided by 6.
5
Let d(z) = 6*z - 3. Suppose -5*c = -y - 2*y + 21, 4*y + c = 28. Suppose 0 = 3*p - 8 - y. Calculate the remainder when d(2) is divided by p.
4
Let y be (-60)/8*(-4)/(-5). Let n = y - -26. Let q(r) = -r**3 + 10*r**2 + 13*r - 15. What is the remainder when n is divided by q(11)?
6
Let o(k) = 3*k**2 - 3*k + 4. What is the remainder when o(-3) is divided by (1/2)/((-11)/(-462))?
19
Suppose 3*n - o - 27 = -6, n - 2*o - 12 = 0. Calculate the remainder when 19 is divided by n.
1
Let a(z) be the third derivative of 7*z**4/24 + 7*z**3/6 + 3*z**2. Calculate the remainder when a(9) is divided by 18.
16
Suppose 3*q + 7*q - 3050 = 0. Calculate the remainder when q is divided by 51.
50
Suppose -2*b = c + 5, 0 = 2*c + 3*b - 4*b - 10. Let y = -16 + 20. Let l = y + c. What is the remainder when l is divided by 3?
1
Suppose 12*i - 8*i = 72. Suppose 2*a = -2, -69 = -4*j + 2*j + a. What is the remainder when j is divided by i?
16
Let p(g) = -2*g**2 + 20*g - 10. What is the remainder when 31 is divided by p(9)?
7
Suppose -2*b + 78 = b - 3*j, -2*b + 3*j + 51 = 0. What is the remainder when b is divided by 10?
7
Let n = 46 - 36. Let a(q) = -5*q + 2. What is the remainder when a(-3) is divided by n?
7
Suppose 3*v - 8 + 2 = 0. Let u be 10/5*3/v. Calculate the remainder when u/2*(-6)/(-1) is divided by 5.
4
Let n be (-47 - -2)/1*-1. Let q = n + -32. Calculate the remainder when q is divided by 4 + 1 - 4/(-2).
6
Calculate the remainder when 52 is divided by -6*((-54)/12)/3.
7
Let p(z) = 10*z**2 - 2*z. Suppose 0 = 5*c - 5, 4*i + c - 97 = -4*c. What is the remainder when p(-2) is divided by i?
21
Let h(m) = -m - 5. Let n(f) = -f - 1. Let g be n(7). Let z be h(g). Let t = z - -1. Calculate the remainder when 7 is divided by t.
3
Let z be 1 - (0 + 15/(-3)). Suppose 2*u - z*d - 48 = -d, -3*u = -3*d - 54. Calculate the remainder when 41 is divided by u.
13
Suppose 0*z - 5*f - 15 = z, z - 15 = 5*f. Suppose 0 = -z*b + b - 4. Calculate the remainder when b is divided by 3.
1
Let c(o) = -3*o - 4. Let d be c(-4). Calculate the remainder when (-4)/d*(-80 - 0) is divided by 21.
19
Let z be ((-1)/(-3))/((-3)/(-18)). Suppose 8 = 2*h - z*k - 0*k, -3*h = 4*k + 2. Suppose p = h*p - 11. Calculate the 