8.
5
Let d(n) = 4*n**2 - 5*n**2 + 11*n - 1 + 0*n**2. Let p be d(8). Suppose -2*u + p = -39. What is the remainder when u is divided by 8?
7
Let d = 4 + -2. Suppose -d*g + 28 = -0. Calculate the remainder when 54 is divided by g.
12
Suppose -4*i + 1 = 5. Calculate the remainder when 62 - ((i - -1) + 0) is divided by 16.
14
What is the remainder when 63 is divided by 4 + -2*(-116)/8?
30
Suppose 4*i - 8 = 4*k, -5*i + 2*k + 6 = -4. Let t be 231/15 + (-2)/5. Let h = i + t. Calculate the remainder when h is divided by 9.
8
Suppose 0 = -r - 5*b + 29, r = -b - b + 29. Calculate the remainder when r is divided by 15.
14
Let q be 10 - -9 - (-4)/2. Let y = 79 - q. Calculate the remainder when y is divided by 15.
13
Suppose a + 12 = -3*a. Let m = -12 - -23. Let q = m + a. What is the remainder when q is divided by 5?
3
Let k = -50 - -72. Let p(d) = -d**2 - 7*d - 5. Let q be p(-5). Suppose -q*c = 3*y - 212, 9*y - 4*y - 210 = -5*c. Calculate the remainder when c is divided by k.
21
Let x(l) = 2*l**3 - 34*l**2 - 33*l + 4. Let v = 48 - 33. What is the remainder when x(18) is divided by v?
13
Suppose 0 = 3*u - 64 + 4. Suppose 3*r + 3 = d + 2*r, 4*r = u. Calculate the remainder when -1*(2/2 - 24) is divided by d.
7
Let x = 11 + -6. Suppose -9 = -w - 2*w. What is the remainder when x is divided by w?
2
Let r = -116 + 134. Let o(t) = 35*t**2 - t + 1. What is the remainder when o(1) is divided by r?
17
Let b(g) = g**2 - g - 11. Calculate the remainder when 14 is divided by b(5).
5
Let s = -13 + 21. Suppose -2 - s = -2*v. Suppose 2*a = -4*f + 2 + 40, -5*a + v*f + 30 = 0. What is the remainder when a is divided by 6?
5
Let f(i) = -4*i**2 + 2*i - 1. Let u be f(1). Let y = 0 - u. Calculate the remainder when 11 is divided by y.
2
Let k = -39 + 47. What is the remainder when 39 is divided by k?
7
Let i(y) = 18*y - 98. Calculate the remainder when i(7) is divided by 10.
8
Suppose 5*j = -3*b + 43, 5*b - 2*j = 2*j + 121. What is the remainder when b is divided by 12?
9
Let f be (-1509)/(-18) - 1/(-6). Suppose -6*z = -k - z + 8, -5*k = -3*z - f. What is the remainder when k is divided by 10?
8
Let v be 2 - (-25 - -2)*-1. Let w = -12 - v. Let b(k) = -k**2 + 7*k + 6. What is the remainder when b(5) is divided by w?
7
Suppose 3*n - b = n - 1, 4*n + 3*b = 23. Calculate the remainder when 11 is divided by (-14)/3*(-3)/n.
4
Suppose 0*p - 5*p = -20. What is the remainder when p is divided by 2?
0
Let g(j) be the first derivative of -j**2/2 + 13*j - 1. Calculate the remainder when 18 - (2 - (-12)/(-4)) is divided by g(6).
5
Suppose 0*r = 11*r - 671. Calculate the remainder when r is divided by 33.
28
Let x = 5 + 26. Suppose -r + 2*r = 3*p - 8, -4*r = -2*p + 42. Let u = r - -22. Calculate the remainder when x is divided by u.
9
Let t(v) = v + 9*v**2 + 3 + 6*v - 6*v**2. Let a(n) = -n**3 - 7*n**2 + n + 2. Let o be a(-7). What is the remainder when t(o) is divided by 22?
21
Let l(c) = c**2 + 8*c + 14. What is the remainder when l(10) is divided by 49?
47
Let m be (-6)/(-18) + 1/(-3). Let k = m - -12. Calculate the remainder when 46 is divided by k.
10
Let r(w) = w**2 + 6*w - 5. What is the remainder when 6 is divided by r(-7)?
0
Let f be -1 - -1 - 5*-4. Suppose 24 = 3*a - 3*y, a - 5*y - f = -0*a. Suppose -a*d - 18 = -148. Calculate the remainder when d is divided by 9.
8
Let x(r) = r**2 - 4. Suppose 0 = -2*i - 0*i - 6. Let k(q) = q**3 + 3*q**2 - 5*q + 5. Calculate the remainder when k(-4) is divided by x(i).
4
Let b be (-4)/(-6)*21/(-14). Calculate the remainder when 17/3 - b/3 is divided by 4.
2
Suppose -3*y + 4*y - 3 = -5*z, 0 = -2*z - 3*y - 4. Let f be (4 - 1)*(-22)/(-3). Let l = f + -20. Calculate the remainder when l is divided by z.
0
Let h = 44 + -18. Calculate the remainder when h is divided by (-4)/6 + (-44)/(-3).
12
Let n(j) = -j**3 + 5*j**2 + 8*j + 5. Suppose 14*z + 30 = 17*z. Calculate the remainder when n(6) is divided by z.
7
What is the remainder when -2 - ((-9)/(-3) + -69) is divided by 17?
13
Suppose 0 = -2*g - 4*g + 54. What is the remainder when 53 is divided by g?
8
Suppose -m + 5 = -0. Let l(s) = s - 9. Let g be l(m). What is the remainder when g/8 - (-33)/2 is divided by 9?
7
Let d be ((-7)/(14/12))/(-2). Calculate the remainder when ((-2)/d)/(12/(-234)) is divided by 5.
3
Let y be 0 - 0 - (-14 - -2). Suppose -4*n - 2*o - y = -38, -n = -o - 2. Let c = 2 + 12. Calculate the remainder when c is divided by n.
4
Let l(p) = p + 3. Let r be (-1)/(0 + 3/(-6)). Suppose -3*w - 48 = -3*m, m = -r*m - w + 64. What is the remainder when m is divided by l(4)?
6
Suppose 4 = -0*n + n. Suppose -40 = -6*t + t. Let r(s) = -s**3 + 9*s**2 - 7*s - 5. Calculate the remainder when n is divided by r(t).
1
Let o = 81 - 47. Suppose 69 = 5*s - 3*f, 2*f + o + 7 = 3*s. Suppose -5*c = -0*c - 145. Calculate the remainder when c is divided by s.
14
Let c be (-1422)/(-2) + (-3 - 0). What is the remainder when 14 is divided by 2/15 - c/(-90)?
6
Let q = 17 + -6. What is the remainder when 20 is divided by q?
9
Suppose -8 = -0*u - 2*u. Suppose 0 = -2*z + z - g + 6, 0 = -z + 2*g - 3. Calculate the remainder when u is divided by z.
1
Let f(p) = -p**2 + 6*p - 1. Let k be f(5). Suppose -k*w + 69 - 9 = 0. What is the remainder when (-2)/((-3)/(174/4)) is divided by w?
14
Let j(z) = -2*z - 13. Calculate the remainder when j(-12) is divided by 7.
4
Let s(n) = 5*n**2 - 2*n. Calculate the remainder when s(5) is divided by 13.
11
Let q(o) = -o - 1. Let h(u) = u + 3. Let m(v) = -h(v) - 3*q(v). Calculate the remainder when 13 is divided by m(4).
5
Suppose -5*v = 5, 2*g - g - 10 = 2*v. Suppose 0*o + 4*o = -g. Calculate the remainder when 22/(-4)*(o - 0) is divided by 6.
5
Let m(q) = q. Suppose -3 = -3*t + 9. Let n be m(t). Suppose -n*j + 4 = -12. Calculate the remainder when 6 is divided by j.
2
Suppose 8*c - 208 = 344. What is the remainder when c is divided by 37?
32
Suppose -2*l = 2*l - 44. Let m = -5 - -7. Suppose -2*b = -m*h - 20, h - 12 = -4*b + 8. What is the remainder when l is divided by b?
5
Let n(z) = 3*z**2 + 2*z. What is the remainder when 63 is divided by n(3)?
30
Let v(c) = 2*c + 12. Calculate the remainder when 49 is divided by v(7).
23
Suppose -5*c = -26 + 21. Let r = 0 + 3. Let o = r + -2. Calculate the remainder when c is divided by o.
0
Let b(o) = -o**3 - 2*o**2 - 5*o + 1. Let z = -17 + 28. What is the remainder when b(-4) is divided by z?
9
Let h = 7 + 58. Suppose 4*b + 5*w - 98 = 0, -2*w + 42 = 2*b - 3*w. Calculate the remainder when h is divided by b.
21
Suppose -2*t - 3*t = 5*n - 200, 5*n + 3*t = 202. What is the remainder when n is divided by 11?
8
Let k = 17 - 3. What is the remainder when 24 is divided by k?
10
What is the remainder when (-1101)/(-7) + -3*(-2)/(-21) is divided by 40?
37
Suppose 8*l - 105 = 3*l. Suppose -g - 9 = -l. Calculate the remainder when g is divided by 7.
5
Suppose 0*x + x - 13 = 0. Let i = -5 + x. Calculate the remainder when 30 is divided by i.
6
Let h = 53 + -118. Let q = 95 + h. Suppose x - 60 = -4*k, k + 5*x - q = -k. Calculate the remainder when 44 is divided by k.
14
Suppose -5*n + 75 = 2*k - 2*n, -3*k + 4*n = -87. Calculate the remainder when 96 is divided by k.
30
Let l be ((-5)/2 - -2)*-14. Let b(c) = 4*c - 9. Calculate the remainder when 37 is divided by b(l).
18
Suppose 3*y = -3*y + 258. What is the remainder when 128 is divided by y?
42
Suppose 5*k - 30 = -2*x, 5*k - 3*x - 25 = -4*x. What is the remainder when 25 is divided by k?
1
Let z = 10 + -13. Calculate the remainder when 27 is divided by (-2 - -1)/(z/21).
6
Let k be 4/(-10) + 12/5. Let y(d) = d**k + 1 - 4 + 0*d - d. What is the remainder when y(8) is divided by 18?
17
Suppose 0 = -c - 3, 2*u - 11 - 3 = 2*c. Suppose -4 - 10 = -p - 5*d, -5*p - 4*d = -7. Calculate the remainder when (p - 0)*(1 + -7) is divided by u.
2
Let v(h) = 4*h**2 - h - 7. Let t = -12 + 7. Let p be v(t). Suppose 2*z = u - 61, 2*u - 4*z + 6*z - p = 0. Calculate the remainder when u is divided by 18.
17
Suppose -4*s - 8 = 2*j, 1 = 3*s + 10. Suppose 54 = p + j*p. Suppose 0*z + 34 = z. What is the remainder when z is divided by p?
16
Let r = -11 - -16. Suppose -5*x = -8*x - 4*v + 37, 0 = -r*v + 20. Let h = 1 + 19. Calculate the remainder when h is divided by x.
6
Let a = -4 - 0. Let y be 13*(-2 - -4 - (1 + 0)). Let b = y +