2 - 3*p + 7. Let u(m) = -m**3 + 5*m**2 + 2*m. What is the remainder when f(8) is divided by u(3)?
23
Let q = 1 - -11. What is the remainder when q is divided by (-356)/(-52) - 8/(-52)?
5
Suppose 4*u = 5*t - 18, -4*u - 6 = -3*t - 0. What is the remainder when 10 is divided by t?
4
Let o(x) = -7*x - 2. Let g(w) = -12*w - 2. What is the remainder when g(-2) is divided by o(-2)?
10
Suppose -2*s + 1 + 3 = 0. Suppose 0 = -5*z - 5*t + 40, z - 8 = s*z - 3*t. Suppose z = 3*u - 23. Calculate the remainder when u is divided by 5.
4
Let o = 6 + -3. Calculate the remainder when ((-3)/(-6))/(o/72) is divided by 7.
5
Let o(k) = -2*k**2. Let y be o(3). Calculate the remainder when 33 is divided by (-51)/(-2)*y/(-27).
16
Let t(o) = 20*o**2 - o - 1. Let b(w) = -w**3 - 7*w**2 - 5*w + 5. Let p be b(-6). What is the remainder when t(p) is divided by 11?
9
Let i = -37 - -139. What is the remainder when i is divided by 35?
32
Let r(k) = k**2 - 2*k - 1. Let x = 3 + 0. Let z(o) = -o**3 + o**2 + o. What is the remainder when r(x) is divided by z(-1)?
0
Let n(r) = r + 3. What is the remainder when 22 is divided by n(9)?
10
Let d(w) = -3*w - 2. Let r be d(-4). Suppose 5*v - r = -0*v. Suppose -v*q + 30 = 4*t + 3*q, -2*t - q = -18. What is the remainder when 28 is divided by t?
8
Suppose -3*k = 2*k - 20. What is the remainder when 15 is divided by k?
3
Suppose 0 = -d - 0 + 4. Suppose 3*z + 16 = d*z. Suppose 5*c - 30 = -r + 12, -50 = -r + 3*c. Calculate the remainder when r is divided by z.
15
Suppose 3*z - 2*m - 11 = 0, 3*z - 4*z + 2*m + 1 = 0. Calculate the remainder when 14 is divided by z.
4
Calculate the remainder when 3*(-20)/(-15) + 124 is divided by 43.
42
Let w = 3 - -1. Suppose -5*h - 78 = -w*t, 0*h = -3*t - 2*h + 47. What is the remainder when t is divided by 5?
2
Suppose -5*a + 69 = -26. What is the remainder when 55 is divided by a?
17
Suppose -4*r + 19 = 5*s - 5*r, 4*s - 2*r = 20. Let o = s + 9. Calculate the remainder when ((-88)/(-2))/2 + 0 is divided by o.
10
Suppose -h - 2 = -18. What is the remainder when 63 is divided by h?
15
Let i(t) = -4*t + 4. Let r be i(-4). Suppose 2*m + 0*m = r. Suppose -m = -4*h + 34. Calculate the remainder when h is divided by 4.
3
Let t = -9 - -3. Suppose -3*v = -3*s + 18, s + 5*v + 25 = 5*s. What is the remainder when 8/t*2*-3 is divided by s?
3
Let w = -158 + 172. What is the remainder when 52 is divided by w?
10
Suppose -4*p - 110 + 30 = -4*s, -4*s - 5*p = -98. Let q = s + 1. Let h(w) = -13*w - 1. Calculate the remainder when q is divided by h(-1).
11
Suppose -m - 4*m = 0. Calculate the remainder when 79 is divided by 0 + m - (-25 - -5).
19
Let n(r) be the second derivative of 13*r**3/6 - r**2/2 + 2*r. Let q be n(1). Suppose 7*s - 3*s - q = 0. Calculate the remainder when 5 is divided by s.
2
Let r(q) = -q**3 + 6*q**2 - 9. Suppose 2*d - 11 = -1. Calculate the remainder when 46 is divided by r(d).
14
Suppose -o = 5*d + 140, -d + o - 14 = 14. Let h = d - -49. Calculate the remainder when h is divided by 11.
10
Let f(w) = 0 + w**2 + 2 - 3*w + w + 2*w**3 - 3. Calculate the remainder when 29 is divided by f(2).
14
Let s(q) be the second derivative of 4*q**4/3 - q**3/3 - q**2/2 - 2*q. What is the remainder when 49 is divided by s(-1)?
15
Let d = 4 - -1. Suppose -3*n - 2*h + 45 = 0, -h + d = 2. Let k(u) = u**2 + u + 7. What is the remainder when k(-6) is divided by n?
11
Let a = 23 + 15. What is the remainder when a is divided by 10?
8
Suppose 0 = -q + 4. Suppose -q*y + 6 = -2. What is the remainder when 6 is divided by y?
0
Suppose 0 = 2*j - 4 - 12. Let g(a) = 5*a + 9. What is the remainder when g(j) is divided by 16 - (-3)/4*-4?
10
Suppose -4*o + 556 = 5*y, -o + 2*o - 118 = 4*y. What is the remainder when o is divided by 23?
19
Suppose -u - 4*n + 60 = 0, -3*u - 2*u + 2*n = -256. Suppose 2*a + 5 = 15. Suppose u = a*y - 48. What is the remainder when 58 is divided by y?
18
Let z(y) = -y**3 + 5*y**2 + 8*y - 1. Let o be 1 + 10*(-3)/(-6). Let h = -14 - -20. Calculate the remainder when z(o) is divided by h.
5
Let n(j) = -j**2 - 67. Let g(r) = -3*r**2 - 202. Let u(v) = -6*g(v) + 17*n(v). What is the remainder when u(0) is divided by 19?
16
Suppose 5*m = 2*m + 51. Let y(g) = -2*g**3 - 2*g**2 + 2*g. Let c be y(-2). Let k = 13 - c. What is the remainder when m is divided by k?
8
Suppose 5*r - 7 - 8 = 0. Suppose 425 = 5*g - r*t - 18, 103 = g + 3*t. Calculate the remainder when g is divided by 23.
22
Let a = 155 - 137. Calculate the remainder when 67 is divided by a.
13
What is the remainder when 10 is divided by (8/(-3))/(-4)*6?
2
Suppose 0 = 3*h + 2*u - 244, -2*h + 2*u + 84 = -h. Calculate the remainder when h is divided by 21.
19
Let w(b) = 21*b + 1. Let m(j) = j**2 + j + 63. Calculate the remainder when m(0) is divided by w(1).
19
Suppose q + 23 = 2*r + 2*r, -2*q = -2. Calculate the remainder when r is divided by 5.
1
Suppose -5*i + 192 = -2*i. What is the remainder when i is divided by 17?
13
Let t be 8/(-16)*(-1 + 1). Calculate the remainder when 89 is divided by 1*(t + -3 - -26).
20
Let v = -60 + 36. Let k = v + 42. Suppose 5*g - 23 = 27. What is the remainder when k is divided by g?
8
Suppose -4*i + 45 = 13. What is the remainder when i is divided by 5?
3
Let b = 6 - 2. Suppose 9*j - 11*j = -b. What is the remainder when j is divided by 2?
0
Calculate the remainder when (-2 + -1 + 4)*19 is divided by 10.
9
Suppose 0*r - 3*r + 28 = -4*m, 0 = -2*r. Let j = m + 13. Calculate the remainder when 17 is divided by j.
5
Suppose 3*f - 53 = 2*v, -6 = -f + 3*v - 0. Calculate the remainder when f is divided by 12.
9
Let d = -49 + 106. Calculate the remainder when d is divided by 15.
12
Suppose -2*x = -7*x. Let r(t) be the third derivative of t**4/24 + 47*t**3/6 - t**2. What is the remainder when r(x) is divided by 16?
15
Suppose -d + 3*d + 58 = 0. Let m = d + 41. What is the remainder when 35 is divided by m?
11
Let y = 12 + -5. What is the remainder when 18 is divided by y?
4
Let y(u) = -1 + 4*u + 3 + 0 - 4 + 2*u**2. Let s be (-4 - 0)/2 + -2. What is the remainder when 26 is divided by y(s)?
12
Let w(n) = -n**2 - 7*n - 6. Let h be w(-6). Suppose h = r - 7 + 4. What is the remainder when 5 is divided by r?
2
Suppose -q + 38 = 13. What is the remainder when q is divided by 7?
4
Let f(o) = -2*o + 4. What is the remainder when 40 is divided by f(-5)?
12
Let l(x) = x**3 - 7*x**2 + 8*x - 5. Let c be l(6). Suppose -i + c = -23. Calculate the remainder when i is divided by 11.
8
Calculate the remainder when 29 is divided by 72/(-6)*4/(-3).
13
Suppose 4*l - 157 = -5*p + 2*l, -61 = -2*p + l. Calculate the remainder when p is divided by 9.
4
Suppose -5*o + 97 = -4*u, -o + u + 40 = o. Suppose 21*j = 99 + 132. What is the remainder when o is divided by j?
10
Suppose 0*q + 2*q - 31 = -5*s, 4*q + s - 35 = 0. Suppose 5*r - q = 3*r. Calculate the remainder when 5 is divided by r.
1
Suppose 0 = 3*w - w - 504. Let p = w + -160. Calculate the remainder when p is divided by 31.
30
Let c(z) = -z**2 - z - 1. Let a(l) = -5*l**2 + l - 6. Let h(o) = -a(o) + 4*c(o). What is the remainder when h(7) is divided by 6?
4
Let g(q) be the first derivative of -q**3/3 + 9*q**2/2 - 7*q + 2. Calculate the remainder when g(5) is divided by 4.
1
Suppose 2*b = -0*b + 4. What is the remainder when 28 is divided by (-2 - -2) + 20/b?
8
Let x be (-56)/(-12) + 4/(-6). Suppose 4*c + 28 = g, 0 = -c + x*c. Calculate the remainder when g is divided by 10.
8
Let u = -21 + 31. Let v = u - -44. Calculate the remainder when v is divided by 19.
16
Suppose 0 = -0*t - 3*t + 2*u + 30, -3*t + 5*u + 21 = 0. Calculate the remainder when 21 is divided by t.
9
Suppose -3*s - 5*o = -175 + 54, 0 = -3*s + 3*o + 81. Calculate the remainder when 58 is divided by s.
26
Suppose 3*l = -2*x + x + 35, -42 = -2*l + 4*x. Let c = -20 + 44. What is the remainder when c is divided by l?
11
Let v(z) be the first derivative of -z**3/3 - 5*z**2/2 - 4. Calculate the remainder when 7 is divided by v(-4).
3
Suppose 0 = -0*n + 5*n - 165. Suppose m - 45 = 4*m. Let a = -6 - m. What is the remainder when n is divided by a?
6
Let g(a) be the third derivative of -a**5/60 - 5*a**4/12 - 3*a**3/2 - a**2. What is the remainder when 9 is divided by g(-8)?
2
Suppose -11*p + 585 = 28*p. Calculate the remainder when (-408)/(-7) + (-4