e 5*i + a*n - 108 = i, 0 = 2*i - 3*n - 39. Suppose 2*y - r - 3*r - 42 = 0, -4*r = 4*y - i. What is the remainder when 31 is divided by y?
9
Let d = -10 - -21. Suppose d = 3*t - 100. Suppose 0 = 5*k + n - t - 8, 0 = -2*n. Calculate the remainder when 35 is divided by k.
8
Let j(v) = -v + 9. Let n be (-94)/(-14) + 2/7. Let f be j(n). Suppose 0*d - d + f*t = 6, 0 = -3*d - 5*t + 37. What is the remainder when 11 is divided by d?
3
Let t(a) = -a**3 + 3*a**2 + 6*a + 10. Calculate the remainder when t(-3) is divided by 6.
4
What is the remainder when (-4)/(-12) + 95/3 is divided by 11?
10
Suppose -2*k + 3*k + 2*t + 4 = 0, 0 = -3*k + 3*t + 33. Calculate the remainder when 12 is divided by 66/14 + k/21.
2
Let z(h) = h**3 - 9*h**2 - 10*h. Let w be z(10). Suppose -u + 46 + w = 0. What is the remainder when u is divided by 16?
14
Let t = -36 + 66. Let n(p) = -p**2 + 16. Calculate the remainder when t is divided by n(0).
14
Let n = -5 - -18. Let t(g) = g**3 - 4*g**2 + 3*g - 5. Let v = 14 + -10. What is the remainder when n is divided by t(v)?
6
Let d(k) = -k**3 - 2*k**2 + 54*k - 2. Calculate the remainder when d(6) is divided by (-1)/(-2)*(18 + 0).
7
Let c(s) be the second derivative of -3*s**5/10 + s**4/12 + s**3/6 + s**2 + 4*s. What is the remainder when c(-2) is divided by 14?
10
Let j(n) be the second derivative of -n**5/20 - n**4/6 + n**3/2 - 2*n**2 + n. Suppose -6*o + 12 = -102. Calculate the remainder when j(-5) is divided by o.
18
Let h = -155 - -223. What is the remainder when h is divided by 23?
22
Suppose 52 + 286 = 13*k. Let n(v) = v**3 + 6*v**2 + 4*v + 4. What is the remainder when k is divided by n(-5)?
8
Suppose -2*v + 16 = g - v, -3*v - 29 = -4*g. Let a = 81 - 40. Calculate the remainder when a is divided by g.
8
Suppose 24*t - 10*t - 826 = 0. What is the remainder when t is divided by 9?
5
Suppose 11*b + 4*b - 195 = 0. What is the remainder when 23 is divided by b?
10
Calculate the remainder when 149 is divided by 6/27 - (2128/(-36))/4.
14
Let f be (-1 - 1/(-2))*-12. Suppose x = 32 + f. Calculate the remainder when x is divided by 13.
12
Let r(x) = -x**2 + 6*x + 19. Let k be r(8). Suppose 1 = -5*b - 4. Let t = k - b. What is the remainder when 7 is divided by t?
3
Let w(x) = x**3 + 14*x**2 + 25*x + 32. Let i(v) = v**2 - v. Calculate the remainder when w(-12) is divided by i(4).
8
Let v be -1*10/4*-64. Suppose 8*i = 3*i - 20, -4*d + 2*i + v = 0. Suppose -52 = -4*x - 0*x. Calculate the remainder when d is divided by x.
12
Let b = -7 + 15. Let p = -35 + 57. Calculate the remainder when p is divided by b.
6
Suppose 3 = 5*w - 7. Let d(s) be the third derivative of s**4/24 + 19*s**3/6 + s**2. What is the remainder when w is divided by d(-17)?
0
Suppose -3*d - 3*z + 18 = -5*z, 0 = -z. Calculate the remainder when 8 is divided by ((-9)/d)/((-2)/4).
2
Suppose d - 6 = -2. What is the remainder when d is divided by 2?
0
Suppose 3*g - 5*g = -10. Suppose -1 - 4 = -g*c. Let l = c - -7. Calculate the remainder when 23 is divided by l.
7
Suppose 4*a + 4 = 3*n - a, 2*n = -a + 20. Let u = 4 - 1. Calculate the remainder when n is divided by u.
2
Let t = 25 + -18. Let v = t + -5. Calculate the remainder when (-3 + 6 - 2)*(3 + -1) is divided by v.
0
Let o = -61 + 85. Let i(n) = -n**2 + 7*n - 7. Let z be i(6). What is the remainder when o is divided by (-52)/8*(-3 - z)?
11
Let s = 0 + 8. What is the remainder when 6 is divided by s/5 + (-14)/(-35)?
0
Suppose 0 = -5*f - 0*f + 365. Let l be (1/2)/(1/8). Suppose -5*r + l*j = -109, 2*j = 2*r - j - 38. Calculate the remainder when f is divided by r.
23
Let i(z) be the second derivative of 1/6*z**3 - 2*z - z**2 + 0 + 1/20*z**5 + 1/3*z**4. Calculate the remainder when 11 is divided by i(-3).
3
Suppose 48*s - 55 = 43*s. Calculate the remainder when 19 is divided by s.
8
Let f(y) = -y**3 - 3*y**2 + y + 183. Calculate the remainder when f(0) is divided by 37.
35
Let j(o) be the third derivative of -o**3/6 + 3*o**2. Let i(m) = 2*m**2 - m - 8. Let u(h) = i(h) - 6*j(h). What is the remainder when 25 is divided by u(3)?
12
Let n(w) = -w**3 - 2*w**2 + 2*w - 1. Let d be n(-3). Let h(g) = 8*g + 6. Let l be h(0). Let j = d + l. Calculate the remainder when 15 is divided by j.
7
Suppose 2*p + 22 = p. Let o = 0 - p. Calculate the remainder when o is divided by 5.
2
Let u(z) = -4*z**3 + 5*z**3 + 3 + 6*z - 6*z**2 - 4*z. Calculate the remainder when 28 is divided by u(6).
13
Let y = 5 + -4. What is the remainder when 4/((-12)/(-45)) + y is divided by -2 - (0 - (-8)/(-1))?
4
Let w = -32 - -34. What is the remainder when 7 is divided by w?
1
Suppose 21 = -4*p + 185. Calculate the remainder when p is divided by 0 + (-3 - 11)/(-1).
13
Let z = 55 - 32. Suppose 0 = -5*u + 11 + 9. Suppose -2*m - u = p - 2*p, -3*p + 5*m + 16 = 0. Calculate the remainder when z is divided by p.
11
Let f(p) be the second derivative of 6*p**5/5 + p**4/12 + 4*p. What is the remainder when f(1) is divided by 13?
12
Let g(t) = 2*t**2 + 6*t - 6. Calculate the remainder when 9 is divided by g(-4).
1
Let g(h) = 5*h**2 - h + 6. Calculate the remainder when 94 is divided by g(2).
22
Let q(u) be the first derivative of u**2/2 + 7*u + 2. Calculate the remainder when 7 is divided by q(-4).
1
Let n(g) = 2*g**3 + 7*g**2 - g + 7. Let v be n(-5). Let c be v/6*24/(-9). Let q = -6 + c. What is the remainder when q is divided by 12?
10
Let m(d) = d**3 - 4*d**2 - 5*d - 1. What is the remainder when m(6) is divided by 11?
8
Let q = -37 - -54. Suppose q = c - 3*b, 4*b + 26 = c + c. Let m(s) = 4*s - 3. Calculate the remainder when m(c) is divided by 6.
5
Let y(k) = -k**3 - 8*k**2 - 7*k + 10. Calculate the remainder when 39 is divided by y(-7).
9
Let l(w) = w**3 + 9*w**2 - 3*w - 1. What is the remainder when l(-5) is divided by 29?
27
Let n = -8 + 15. Let u(x) = x**3 - 4*x**2 - 1. Let g be u(3). What is the remainder when (g/(-8))/(5/100) is divided by n?
4
Suppose -20 + 140 = 5*t. What is the remainder when 68 is divided by t?
20
Let w(p) = -p**3 + 5*p**2 + 2*p + 3. What is the remainder when (-12)/(-6) + 23 + -1 is divided by w(5)?
11
Suppose 0 = -3*h + 2*f - 0*f + 35, h - 5 = 4*f. Suppose g - z - 91 = -2*g, g = 2*z + 37. Calculate the remainder when g is divided by (-4)/(-10)*5 + h.
14
Suppose 57 = 4*k - 3. Let b be (-2)/(2 - 80/41). Let j = b - -84. Calculate the remainder when j is divided by k.
13
Let v = 91 - 68. Calculate the remainder when v is divided by 4.
3
Suppose k - 36 - 27 = 0. What is the remainder when k is divided by 16?
15
Let h = -3 + 3. Calculate the remainder when 41 is divided by (-7 + -21)/(-2 - h).
13
Suppose 2*s - 11 = 5*z, 0 = -5*s + s - 3*z + 61. What is the remainder when 76 is divided by s?
11
Suppose 0 = 5*c + 5*y - 45, -c + 2 + 11 = -3*y. Let q(r) = -r - 2. Let x be q(-6). Suppose 0 = -x*n + 2*n + 12. Calculate the remainder when c is divided by n.
4
Suppose -4*h = -5*h - 2*z + 12, 58 = 3*h - 5*z. Calculate the remainder when h is divided by 5.
1
Suppose 42 = 2*q + 3*w, 105 = 4*q + q - w. What is the remainder when q is divided by 8?
5
Suppose -s - 18 + 56 = 5*z, 4*s - 47 = z. Let r(q) be the first derivative of 2*q**2 - q + 1. Calculate the remainder when s is divided by r(2).
6
Suppose 14 = 2*n - 20. Calculate the remainder when n is divided by 10.
7
Let w be (-8)/(-4)*1/2. Suppose -z = 4*g - 29, -4*g + g + 5*z - 7 = 0. Calculate the remainder when -5*w*(5 + -7) is divided by g.
4
Let n = 52 - 13. Let f = n + -28. What is the remainder when 32 is divided by f?
10
Let a = 9 - -11. Let v = a + -10. Let q = v - -25. What is the remainder when q is divided by 9?
8
Let k be (4/(-6))/(3/108). Let j = k - -37. What is the remainder when 38 is divided by j?
12
Let n = 174 - 154. Let w(q) = 9*q**2 + 1. What is the remainder when w(2) is divided by n?
17
Let y(h) = -h**3 - 6*h**2 + 11*h + 9. Calculate the remainder when y(-8) is divided by (2 - -2) + -1 - -10.
10
Suppose 2*t - 7 = -1. Let x = t + 40. What is the remainder when x is divided by 15?
13
Let j(o) = -5*o - 1. What is the remainder when j(-10) is divided by 26?
23
Let u = 5 + 1. Let o(k) = 2*k**2 - 3*k - 2. Let l be o(4). Suppose 3*q = z + 29, -3*z + l = -4*q + 50. Calculate the remainder when q is divided by u.
5
Suppose g + 0 = 21. Let y = 3 - 0. What is the remainder when g is divided by (-2