*d - 2 = 10. Suppose 7*u - d*u - 40 = 0. Let i(g) = -g**3 - 5*g**2 + 9*g - 7. What is the remainder when i(-7) is divided by u?
8
Let l(j) = j + 9. Let p be l(-5). Suppose 3*s + p*i = 0, 0 = -s + 3*s - 3*i - 17. What is the remainder when 31 is divided by (s - 2)*(-11)/(-2)?
9
Suppose 0 = 2*i + 3*i + 10. Let g be 1 + -4*1 - i. Let w = 16 + g. What is the remainder when w is divided by 8?
7
Suppose 4*o - 106 = -30. What is the remainder when o is divided by 1/1 + 8/2?
4
What is the remainder when (-15)/(-5)*-1 - -41 is divided by 13?
12
Suppose -2*i + 31 = -5*g, -2*i - 3*i - 3*g = 0. Suppose -39 = -3*z - i*a, -3*z + 25 = -z + a. Calculate the remainder when z is divided by 5.
2
Suppose -5*n + 2*n = 108. What is the remainder when 10 is divided by ((-4)/(-12))/((-2)/n)?
4
Let m(b) = -b**3 + 14*b**2 + 3*b - 11. What is the remainder when 122 is divided by m(14)?
29
Suppose 3*t - 176 = -c, -3*t - 5*c + 300 = 2*t. Let v = t - 31. What is the remainder when v is divided by 7?
6
Suppose -4*m + 2*d + 19 = -3, -5*m = 3*d - 11. Suppose -m*u + 3 = -53. Calculate the remainder when u is divided by 5.
4
Let r be (-4 - -2) + (22 - -1). Suppose 4*z = -3 - r. What is the remainder when 37 is divided by 4/z*(-13 + -2)?
7
Let t(r) = -r + 9. Suppose -123 = -4*s - 5*w, -3*s + 0*w + 75 = -2*w. Let f = -13 + s. Calculate the remainder when f is divided by t(4).
4
Let v = -6 + 8. What is the remainder when 1/(-2)*v - -23 is divided by 6?
4
Suppose 4*b - 20 = 4*v - 0*v, 2*v - 8 = 0. Calculate the remainder when (-54 + 2)*(-2)/4 is divided by b.
8
Let s = 0 - 0. Let z = 6 - s. What is the remainder when (-8)/(-4 - 21/(-6)) is divided by z?
4
Let h(w) = -w**3 + 7*w**2 - w + 1. Let g = 10 - -2. What is the remainder when h(4) is divided by g?
9
Suppose -2*u = -4, 1 = h - 2*u + u. Suppose 2*o - 16 = 5*o - 5*m, h*m - 6 = 3*o. Suppose 0 = -5*k - 0*k + 10. Calculate the remainder when o is divided by k.
1
Let t = 22 - 4. What is the remainder when t is divided by 8?
2
Suppose 0 = -4*w + m + 164, -w = -3*m - 34 - 7. Suppose 3*n - 2*k = 23, k = 5*n - k - w. What is the remainder when n is divided by 5?
4
Let g(s) = -4 - 2*s**3 + 5*s**2 - 3*s - 5*s**2 + 5*s**2. Let o be g(3). Let x = o - -31. Calculate the remainder when x is divided by 5.
4
Suppose 10*d - 853 - 517 = 0. What is the remainder when d is divided by 23?
22
Suppose 9*a - 9 - 108 = 0. What is the remainder when 30 is divided by a?
4
Suppose 3*x - 29 = -x - 5*u, -4*u = -2*x + 34. What is the remainder when 31 is divided by x?
9
Let j(v) = v**2 - 7*v + 2. Let b = -3 - -11. Calculate the remainder when 37 is divided by j(b).
7
Let q(s) = 6*s**2 + 3*s + 2. What is the remainder when 8 is divided by q(-1)?
3
Let z(p) = 4*p - 7. What is the remainder when z(8) is divided by 14?
11
Suppose -2*n = -3*g + 52, 5*g - 61 - 26 = 3*n. Let t be ((-132)/g)/(2/(-3)). Let w = t + 8. Calculate the remainder when 56 is divided by w.
18
Suppose 54 = 2*d + 4*d. Calculate the remainder when 35 is divided by d.
8
Suppose -12*w + 1726 = -1430. Calculate the remainder when w is divided by 14.
11
Let f(j) = 2*j - 3. Let n = 5 - 2. Suppose n*c - 6*c = -24. Calculate the remainder when c is divided by f(4).
3
What is the remainder when (18/8)/((-9)/(-312)) is divided by 16?
14
Suppose -4*r - r + j + 85 = 0, 5*j = -r + 43. Let g = 152 + -81. What is the remainder when g is divided by r?
17
Let q be ((-20)/30)/((-2)/9). Suppose -q*h - h = -36. Calculate the remainder when h is divided by 3.
0
Suppose -3*k - 9 = 0, -k = -4*c - 16 + 35. Suppose -128 + 52 = -c*a. Let o = a - 11. What is the remainder when 31 is divided by o?
7
Let q = 95 + -15. Suppose 3*v + v = q. What is the remainder when v is divided by 11?
9
Suppose -f + 0*o = 2*o - 1, 2*f = o + 17. Suppose -f + 5 = -v. What is the remainder when 3 is divided by v?
1
Let q(r) = -r**2 + 24*r - 58. Calculate the remainder when q(17) is divided by 32.
29
Let x(n) = -28*n - 4. Let a be x(-3). Suppose -a = -5*k - 10. Calculate the remainder when 40 is divided by k.
12
Let o = -69 + 49. Let f(x) = -12*x + 4. Let c be f(-3). Let i = c + o. What is the remainder when i is divided by 11?
9
Suppose 13 = 6*n - 143. What is the remainder when 50 is divided by n?
24
Suppose 2*x - 2*q = -3*x + 35, 2*x - 14 = -4*q. Let d = 61 + -39. Let j = d - x. What is the remainder when j is divided by 9?
6
Let f = -19 - -21. Calculate the remainder when 8 is divided by f.
0
Let l(w) be the third derivative of w**6/120 - 3*w**5/20 + w**4/2 - 2*w**3 + 7*w**2. Let g = 9 + 2. Calculate the remainder when l(8) is divided by g.
9
Let a = 7 - -33. Calculate the remainder when 158 is divided by a.
38
Suppose -4*p = 4*o - 52, 2*p + 2*p - 4*o - 20 = 0. Suppose 3*z + 52 = 5*z. What is the remainder when z is divided by p?
8
Suppose -5*r = -123 - 62. Calculate the remainder when r is divided by 13.
11
Let p(o) = -31*o + 2. What is the remainder when p(-2) is divided by 50/2 - (2 - -1)?
20
Let m = 144 - 65. Calculate the remainder when m is divided by 27.
25
Let r(t) = 66*t**2 - 4*t - 3. What is the remainder when r(-1) is divided by 20?
7
Let c be 2 + 0 - (-2)/1. Suppose u - v - 14 = 0, 0 = -c*u - 4*v - 0*v + 64. Calculate the remainder when 29 is divided by u.
14
Let d(b) = -2*b - 4. Let c be d(-2). Let n(x) = -x**3 + 33. Suppose 4*a + q = 2*q + 67, -16 = -a + q. Calculate the remainder when n(c) is divided by a.
16
Let n(r) = -r + 23. Calculate the remainder when n(4) is divided by 8.
3
Let a(m) = -6*m + 6. Calculate the remainder when a(-12) is divided by 27.
24
Let p be (12/(-15))/(1/(-5)). Suppose 0 = -5*d + 5, -2*s + p*s + 2*d = 16. What is the remainder when 13 is divided by s?
6
Suppose -5*y = -4*v - 290, -232 = -3*y - y + 3*v. Suppose 0 = -17*g + 18*g - 20. What is the remainder when y is divided by g?
18
Suppose -51 = -3*b - 6. What is the remainder when 29 is divided by b?
14
Let w(g) = g**3 - 7*g**2 + 13*g - 10. Calculate the remainder when 37 is divided by w(5).
2
Let f(y) = -y + 2. Let q be f(2). Let v = -6 - -8. Suppose 5*w + 5*u = -q*u - 15, 4*u = -v*w - 16. Calculate the remainder when 5 is divided by w.
1
Suppose -2*t + 2*i = 94, -4*t + t = 5*i + 109. Suppose -23 = -2*c + 2*p + 177, -2*c = -3*p - 196. Let s = c + t. What is the remainder when s is divided by 16?
13
Suppose -o + 5 = -0, 5*y - 2*o - 20 = 0. Let t = -7 - -4. Let v = t - -5. Calculate the remainder when y is divided by v.
0
Let b(g) = -g**3 - g**2 + g + 1. Let o be b(-1). Suppose o = -2*v - 2*v + 196. Calculate the remainder when v is divided by 17.
15
Let j(f) = f**2 + 3*f. Let c be j(-1). Let n(b) = -27*b - 7. Calculate the remainder when n(c) is divided by 10.
7
Let w(g) = g - 3. Let t be w(-3). Let i = t - -10. Let q(h) = -h**2 + 4*h + 3. Calculate the remainder when q(3) is divided by i.
2
Let u(p) = -3*p**3 - p**2 + 2*p - 1. Let t be u(-2). Let b = t - 7. Suppose 0 = 2*v - b - 44. Calculate the remainder when v is divided by 14.
12
Suppose 282 = -z + 7*z. What is the remainder when z is divided by 17?
13
Let q(w) = 19*w - 1. Let a be q(1). Let j = a + -8. What is the remainder when j is divided by 6?
4
Suppose 4*i = -2*i + 48. What is the remainder when 9/2*20/3 is divided by i?
6
Suppose -3*m + 12 = -0*m. Calculate the remainder when 15 is divided by m.
3
Suppose 0*a = a. Suppose 5*l + 4*w - 3 = 2, -l + 2*w + 15 = a. Suppose v + l*j = 43, 0*j - 2*j + 31 = v. What is the remainder when v is divided by 8?
7
Let h(s) = s**2 - 6*s - 5. Let m(i) = 2*i**2 - 13*i - 10. Let t(o) = 7*h(o) - 3*m(o). What is the remainder when 38 is divided by t(6)?
12
Let v be ((-2)/4)/(1/(-2)). Calculate the remainder when 19 is divided by (2 - (v + -9)) + 0.
9
Suppose x - 2*x = -77. Let t(n) = n**3 - 4*n**2 - 9*n + 2. Calculate the remainder when x is divided by t(6).
17
Let w(j) = 2*j. Let f be w(2). Suppose -2*h + 104 = o + 4*o, f*h - 5*o = 238. What is the remainder when h is divided by 15?
12
Let r(n) = n**3 + 4*n**2 - 3. Let y be r(-3). Suppose y*l = 15 + 69. Calculate the remainder when 55 is divided by l.
13
Let c(h) = h**3 + 3*h**2 - 3*h + 5. What is the remainder when 74 is divided by c(2)?
17
Suppose 4 = -2*p + 16. Let l(f) = -f**3 + 10*f**2 + 12*f + 12. What is the remainder when l(11) is divided by p?
5
Let d(u) be the third derivative of u**4/24 - 2*u