 - 4*x + 1. Suppose 3*n = -2*n + 35. Calculate the remainder when c(3) is divided by n.
4
Suppose -1 - 1 = o. Let k = -2 + 2. Calculate the remainder when o/2 - (k - 2) is divided by 1.
0
Let g(c) = -4*c**2 - 6*c + 3 + 2*c**2 + 6*c**3 + 3*c. Let q(r) = -r**3 - r**2 + 19. Calculate the remainder when g(2) is divided by q(0).
18
Let w(z) = z**3 + 7*z**2 - 14*z + 8. Calculate the remainder when w(-8) is divided by 12.
8
Let x(y) = 5*y**3 + 2*y**2 - 7*y + 2. Let w(a) = 14*a**3 + 7*a**2 - 21*a + 6. Let f(b) = 6*w(b) - 17*x(b). What is the remainder when 9 is divided by f(7)?
1
Suppose 3*s - 6*s + 3 = 0. Let v = 0 + s. What is the remainder when (2 - -40)*v/2 is divided by 8?
5
Suppose -123 = -4*u - 15. Suppose 5*s - 89 - 66 = 0. Suppose -4*k + s = 5*n - 10, 36 = 3*k + 2*n. Calculate the remainder when u is divided by k.
13
Let u = 109 + -98. What is the remainder when 30 is divided by u?
8
Let z(j) = -j**2 - 7*j - 5. Suppose -5*s + 4*a + 53 = 0, 8*a + 46 = 4*s + 3*a. Calculate the remainder when s is divided by z(-5).
4
Suppose 5*n - 10 = -3*k, 0 = -2*n + 5*k - 1 + 5. Suppose 33 = 2*r - 2*f + 7, -r + 15 = -n*f. Calculate the remainder when r is divided by 7.
4
Suppose t - 2*t = -3*l + 6, -5*l - 5*t - 10 = 0. Suppose 5*k - 7 + l = r, 5*r - k = 18. What is the remainder when 14 is divided by r?
2
Let q = 3 + -22. Let r = q + 33. What is the remainder when 26 is divided by r?
12
Let m = -22 + 43. Calculate the remainder when 82 is divided by m.
19
Suppose -30 = -q + 3*p, p = -6*q + 3*q + 50. Let f(x) = -x**3 - x + 4. Calculate the remainder when f(-3) is divided by q.
16
Let r be 322/2 + 13/(-13). Let x = r - 114. Calculate the remainder when x is divided by 16.
14
Let t(i) = 108*i**3 + i**2 - 2*i + 1. Let v be t(1). Suppose -3*d - r = -284, 2*r - v = -d - r. Calculate the remainder when d is divided by 32.
29
Suppose -18*l + 16*l + 328 = 0. What is the remainder when l is divided by 42?
38
Let w(p) = -14*p**3 + 6*p**2 - p - 5. Let l(a) = 29*a**3 - 13*a**2 + 2*a + 11. Let v(r) = -6*l(r) - 13*w(r). Calculate the remainder when 29 is divided by v(1).
5
Let i(m) = 16*m + 7. Let k(h) = -h + 6. Calculate the remainder when i(3) is divided by k(-8).
13
Let k(b) = -24*b - 1. Let z be k(1). Let n be ((-30)/z)/(4/10). Suppose -2*j = 4*f - 7 + n, -3*f = -j + 22. Calculate the remainder when 28 is divided by j.
8
Let n = 16 - -10. Let k = n - 22. Calculate the remainder when 17 is divided by k.
1
Suppose 23 = 2*j - f, 2*j + 5*f = 3*j - 7. Calculate the remainder when j is divided by 8.
4
Let i be (4/2 - 12)/(-2). Suppose -1 = -r, j + 2*r = i*r + 9. Suppose 4*u - 156 = -5*n, -u - 5*n = -3*n - 42. What is the remainder when u is divided by j?
10
Suppose 0 = -2*g - 4*d + 42, -3*g - 5*d + 58 = -0*g. Calculate the remainder when g is divided by 6.
5
Let j(t) = -t**2 + 12*t - 15. Let g(y) = y**2 - 12*y + 15. Let n(k) = -3*g(k) - 4*j(k). What is the remainder when n(14) is divided by 16?
11
Let p = 10 + 3. Let d = p - 9. Suppose 6*j - 2*j = -d*t - 8, -18 = -j + 4*t. Calculate the remainder when 5 is divided by j.
1
Suppose 6*i - 1177 = -259. What is the remainder when i is divided by 14?
13
Suppose 0 = -n + 23 + 23. Calculate the remainder when n is divided by 12.
10
Let v = 118 + -69. What is the remainder when v is divided by 25?
24
Let g(o) = o**2 + 4*o + 5. Let w = -1 + -3. Let y be g(w). Suppose -y*p + 4 = 4*q, q + 4*p = -q - 4. What is the remainder when 17 is divided by q?
5
Let b(s) = -11*s - 17. Let j(n) = -6*n - 9. Let w(u) = 4*b(u) - 7*j(u). Let y be w(-5). Let v = y + 9. Calculate the remainder when 26 is divided by v.
12
Let x be ((-4)/(-5))/(9/45). Suppose x*h = h + 36. Calculate the remainder when 45 is divided by h.
9
Let h = -25 + 31. Suppose 0 = -7*x + 4*x + 12. Calculate the remainder when 2 is divided by (-6)/x*(-8)/h.
0
Calculate the remainder when 43 is divided by (2 + 22 + -1)/1.
20
Suppose 0 = 3*w - 4*o - 88, -3*w - 3*o + 133 = 2*o. Calculate the remainder when 105 is divided by w.
33
Let g = 35 + -18. Calculate the remainder when 118 is divided by g.
16
Let l(n) = -3*n**2 - 28*n - 59. Let a(x) = -x**2 - 9*x - 20. Let q(u) = -8*a(u) + 3*l(u). Calculate the remainder when q(-7) is divided by (-104)/(-10) - 2/5.
8
Let m(l) = 9*l**3 + 2*l**2 - 6*l - 4. Let f(s) = 26*s**3 + 6*s**2 - 17*s - 11. Let g(a) = 4*f(a) - 11*m(a). Calculate the remainder when g(2) is divided by 15.
14
Suppose 4*o + 3*n - 530 = 0, -5*o - n = -3*o - 264. Calculate the remainder when o is divided by 22.
21
Suppose -5*d - 4*b = b - 50, 2*b - 4 = 0. Let n(s) = s**3 - 8*s**2 + 6*s - 8. Let m = 32 + -18. Calculate the remainder when n(d) is divided by m.
12
Suppose 0 = 3*f - 13 + 1. Let w = 1 + f. What is the remainder when 17 is divided by w?
2
Let v = -26 + 65. Calculate the remainder when v is divided by 124/6 + (-15)/(-45).
18
Suppose -3*s + 0*c + 2*c + 7 = 0, 5 = 3*s - c. Suppose -2*u - 4 = -3*t + 2*t, -5*u + 3 = 4*t. What is the remainder when t is divided by s?
0
Suppose d + 3 = 4*d. Suppose 4*i + 3 = -d. What is the remainder when 9 is divided by i*(-3)/((-3)/(-5))?
4
Suppose -5*k = -3*k - 74. Let m = 4 - -3. Let c(w) = -w**2 + 8*w + 3. What is the remainder when k is divided by c(m)?
7
What is the remainder when 567/(-6)*(-2)/3 is divided by 32?
31
Let o = 1 + -1. Suppose -6 = -5*p + 4. Suppose p*r + 3*d = 59, r + 4*d - 37 = -o*r. What is the remainder when r is divided by 9?
7
Suppose -2*z + 20 = 3*z. Suppose 0 = n - z*n + 12. What is the remainder when 11 is divided by n?
3
Let y(j) = -2*j + 4. Let b be y(4). Calculate the remainder when (-618)/(-30) + b/(-10) is divided by ((-2)/(-5))/((-1)/(-15)).
3
Suppose -3*g - 2*f = 3 + 1, g + 2 = -f. Suppose g = -5*n + 45 + 55. Let c = 32 + 6. What is the remainder when c is divided by n?
18
Let o = 44 + -22. Suppose -4*x + 4*a = -8, 4*a - o = -x + a. Suppose 4*d + 35 = m, 12 = 2*d - 5*d. What is the remainder when m is divided by x?
5
Let w = 24 + -13. Let n = -6 - -37. Calculate the remainder when n is divided by w.
9
Suppose 2*g - 20 = -0*m - 2*m, 19 = m + 4*g. What is the remainder when (-212)/(-8) + (-1)/2 is divided by m?
5
Suppose -3*p + 8*k - 4*k + 22 = 0, -p = 5*k + 18. Suppose 3*q + 23 = p. Let d(o) = -o**3 - 8*o**2 - 9*o - 1. What is the remainder when 38 is divided by d(q)?
12
Suppose -21*b + 2088 = -3*b. Calculate the remainder when b is divided by 15.
11
Let l = 42 - 22. What is the remainder when 79 is divided by l?
19
Let n be (-1*1)/(-1) - -13. Let y = -10 + n. Calculate the remainder when 420/80 + (-7)/(-4) + -1 is divided by y.
2
Let k(i) = -i**2 + 11*i - 14. Let r = -6 - -10. Calculate the remainder when k(8) is divided by r.
2
Let a(l) = -30 - l**3 + 34 + 0*l**2 + 3*l**2. Let p(r) = r - 5. Let c be p(8). What is the remainder when 13 is divided by a(c)?
1
Let p(d) = -44*d - 15. What is the remainder when p(-5) is divided by 52?
49
Suppose -3*r - 126 = -0*r. Let s = -27 - r. What is the remainder when s is divided by 8?
7
Suppose -4*s - 2 = 2*l - 0*l, 5*l = -s - 23. Suppose s*x + b - 93 = -4*b, -x + 27 = -4*b. What is the remainder when x is divided by 10?
9
Let y(o) = -9*o + 3. Let d(u) = u**3 + 8*u**2 + 5*u + 1. What is the remainder when y(-6) is divided by d(-7)?
12
Let l(i) be the first derivative of -2*i**2 - 2*i - 1. Let f be l(-2). Let q = -1 + f. Calculate the remainder when 8 is divided by q.
3
Suppose -2*j = m - 2 - 10, -2*m - 1 = -j. Suppose 7*k - 30 = m*k. Calculate the remainder when 15 is divided by k.
3
Suppose -q + 45 = 3*v, -4*v + 0*v = 5*q - 170. Suppose 0 = 3*o - 48 - q. What is the remainder when o is divided by 7?
5
Let c = -17 - -27. Suppose -4*f + 10 = -c. What is the remainder when 7 is divided by f?
2
Suppose -5*y + 0*y + 55 = 0. Calculate the remainder when 54 is divided by y.
10
Suppose 2*t - 10 + 2 = 0. Suppose -1 - t = -l. What is the remainder when 9 is divided by l?
4
Suppose -2*i + 78 = 4*g, 2*g + 227 = 5*i + 4*g. What is the remainder when i is divided by 10?
7
Let f(i) be the first derivative of -i**2/2 + 27*i - 7. What is the remainder when (-1)/2*0 + 47 is divided by f(11)?
15
Suppose 3*w - 58 = 23. Suppose 0 = x + 2*q - 47, -2*q - 57 = -x - 2. What is the remainder when x is divided by w?
24
Let a be 9 + 2 + 0 - 0. Let h = -6 + a. Suppose 45 = 5*o + h. Calculate the re