2
Let b(x) = -x**2 + 16*x + 15. Calculate the remainder when 126 is divided by b(14).
40
Let s = 52 + -9. What is the remainder when 169 is divided by s?
40
Let q be ((39/(-1))/(-3))/1. What is the remainder when (-2)/q - (-513)/39 is divided by 8?
5
Suppose 0*u - 85 = -5*u. What is the remainder when 47 is divided by u?
13
Suppose 84 = -3*w - 3*l, w = l + 3 - 39. Let z = 47 + w. Calculate the remainder when 42 is divided by z.
12
Suppose -3*c = -30 - 24. Suppose -5*w = t - 346, 198 = 2*w + w + 3*t. What is the remainder when w is divided by c?
16
Let k(z) = z**2 + 4*z + 11. Calculate the remainder when k(-5) is divided by 6.
4
Let b(p) = p**3 - 4*p**2 + 2*p - 5. Calculate the remainder when 89 is divided by b(5).
29
Let x = -9 + 19. Suppose 4*o - 49 = -2*p + 15, -5*o = p - 23. Calculate the remainder when p is divided by x.
8
Let d = 62 - 19. Let a = d + -13. Suppose -16 = -2*s + f + f, -4*s + 2*f + a = 0. Calculate the remainder when s is divided by 3.
1
Let z(c) = -9*c - 36. What is the remainder when 65 is divided by z(-6)?
11
What is the remainder when (-50*2)/(5 + -6) + -1 is divided by 51?
48
Suppose -b + 11 = -6. Calculate the remainder when b is divided by 6.
5
Let j = -9 + 0. Let d = j + 28. Calculate the remainder when 93 is divided by d.
17
Suppose -41 = -v - 5*u, 3 = -3*u - 0. Let q = 24 + -12. What is the remainder when v is divided by q?
10
Let p = -8 - -13. Let n be p/(18/15 - 1). Suppose 0 = -d + 6*d - 3*r - n, 5*d = 4*r + 30. Calculate the remainder when d is divided by 2.
0
Let h = 7 - 5. Suppose -27 = -t - h. Calculate the remainder when t is divided by 13.
12
Let p(x) = -x**3 + 7*x**2 - 6*x - 2. Let r be p(6). Let h = 13 + r. What is the remainder when h is divided by 6?
5
Suppose -2*g - 90 = -4*n, -5*n + 75 = 2*g + 3*g. Let m = -7 + n. What is the remainder when 24 is divided by m?
11
Let m be ((-2)/(-2))/1 + -10. Let u = m + 28. Let n = -13 + u. What is the remainder when 15 is divided by n?
3
Calculate the remainder when ((-2 - -2) + -111)*2/(-3) is divided by 14.
4
Let i(p) = p**3 + 10*p**2 - 3*p - 13. What is the remainder when i(-10) is divided by 6?
5
Let a be (-6)/2 + 8 + 8. Suppose 7 = 5*z - a. Suppose 4*j - 4*k - 16 = 28, -3*j - 2*k + 28 = 0. What is the remainder when j is divided by z?
2
Suppose 208 = 5*n - 32. Let o = n - 19. Let d = 42 - o. What is the remainder when 37 is divided by d?
11
Suppose 4*g - k = 86, -4*g - 3*k = -2*g - 36. Calculate the remainder when 39 is divided by g.
18
Let n = 95 + -53. What is the remainder when n is divided by 9?
6
Suppose -3*c + 2 = -2*c. Calculate the remainder when 5 is divided by c.
1
Suppose -4*r - 6 = -x, 0 = -x + 2*r - r + 15. Calculate the remainder when x is divided by 11.
7
Let g(b) = -3*b**3 - 4*b**2 - 2*b + 2. Let p(q) = -8*q - 22. What is the remainder when p(-6) is divided by g(-2)?
12
Let w = 34 - 24. Suppose -5*u - 100 = -w*u. Suppose -5*p - 2*g = -u, -5*g = 6*p - 2*p - 33. Calculate the remainder when 5 is divided by p.
1
Let k = 7 + -4. Suppose 44 = k*t + t. What is the remainder when 43 is divided by t?
10
Let g(n) = -2*n - 4. What is the remainder when 22 is divided by g(-8)?
10
Let x be 79/3 + 6/9. Let d = x + 35. Calculate the remainder when d is divided by 16.
14
Let c be 6*1/(-4)*2. What is the remainder when 35 is divided by (0 - c)*(-12)/(-4)?
8
Let m = 7 - -9. Suppose 0 = -100*p + 103*p - 87. Calculate the remainder when p is divided by m.
13
Let o = -42 - -49. What is the remainder when 10 is divided by o?
3
Let x = -27 - -17. Let a(q) = 2*q**2 - 7*q. What is the remainder when a(6) is divided by (16/x)/(3/(-30))?
14
Suppose 0 = -3*q - 5*x - 10, -2*q + 12 = -2*x - 8. What is the remainder when 36 is divided by q?
1
Let g = 7 - 4. Suppose 2*h - 11 = -5*i, g*h + 5*i - 19 = -5. What is the remainder when 11 is divided by h?
2
Let i(t) = t**2 + 3*t + 13. Calculate the remainder when 67 is divided by i(-4).
16
Suppose -19 + 89 = 2*r. What is the remainder when r is divided by 25?
10
Let a be (-2 - 21/(-12))*-4. What is the remainder when 3 is divided by -3 + a - (-3 + -1)?
1
Suppose 4*g + 4*s - 100 = 0, -155 = -5*g + 5*s + 20. What is the remainder when 88 is divided by g?
28
Let s be (-2)/(-1)*(-6 - -4). Calculate the remainder when 44 is divided by (-12)/s + 4*3.
14
Suppose x - 110 = -4*x. What is the remainder when 82 is divided by x?
16
Suppose 0 = -3*q + 5*q - 30. What is the remainder when (-63)/(((-15)/2)/5) is divided by q?
12
Suppose -4 = -4*y, -y + 6 - 33 = -4*k. Calculate the remainder when 62 is divided by k.
6
Suppose 0 = 3*q - 327 + 126. What is the remainder when q is divided by 17?
16
Suppose 2*n - 12 + 2 = 0. Suppose -3*l - 2 = -0*l - 4*s, l + 6 = 4*s. What is the remainder when n is divided by l?
1
Suppose -2*g + 142 = -f - 3*f, -2*f = 3*g - 205. What is the remainder when g is divided by 18?
15
Suppose -u = -16 - 19. Calculate the remainder when 104 is divided by u.
34
Suppose 0 = -2*s - 3*b + 1 - 25, -3*b + 18 = -5*s. Let p = s + 27. Calculate the remainder when 61 is divided by p.
19
Let w be (32/3)/(5/15). Suppose -3*g + w = g. Suppose -2 - g = -v. Calculate the remainder when v is divided by 4.
2
Let q(b) be the first derivative of b**4/4 + 8*b**3/3 + 3*b**2 + 5*b - 2. Let s(p) = 5*p - 6. What is the remainder when q(-6) is divided by s(4)?
13
Let s(a) = -110*a. Let n be s(-1). Suppose 0*u = 5*u - n. What is the remainder when 43 is divided by u?
21
Suppose 3 + 32 = -5*m. Let c(l) = l**3 + 8*l**2 + 5*l. Calculate the remainder when c(m) is divided by 4.
2
Let m = -9 + 116. Let h = m - 68. Let u = -19 - -29. Calculate the remainder when h is divided by u.
9
Let t(k) = 49*k. Let h be t(4). Suppose 6*a + h = a - 2*d, -122 = 3*a - d. Calculate the remainder when -2 - (-1 - a)/(-3) is divided by 4.
3
Let p(u) = -3*u + 1. Calculate the remainder when 90 is divided by p(-10).
28
Let x = 21 + -23. Let k(y) = -10*y**3 - y**2 - 4. Calculate the remainder when k(x) is divided by 19.
15
Suppose 0 = c - 0*c + 19. Let v = c - -35. Let p(l) = -10*l**3 - 2*l**2 - 2*l - 1. What is the remainder when v is divided by p(-1)?
7
Suppose 6*a - 4*a - 34 = 0. Let w = 115 - a. What is the remainder when w is divided by 25?
23
Let k(r) = -r**2 - r + 222. Let g be k(0). Let d be g/9 - 2/(-6). Suppose -4*v + d = -19. Calculate the remainder when 31 is divided by v.
9
Let i = 1 - -10. Suppose -5*h = 70 - 25. Let q = 32 - h. Calculate the remainder when q is divided by i.
8
Suppose 3*t = -t + 4, -2*s + 78 = -2*t. Let a be (-3)/(-9) + (-526)/(-6). What is the remainder when s is divided by a/6 - (-8)/(-12)?
12
Let j(w) = w**3 - 19*w**2 + 2*w - 25. Let h = 5 - 3. Let r = 9 - h. Calculate the remainder when j(19) is divided by r.
6
Let d = 10 - 5. What is the remainder when (8/5)/(6/30) is divided by d?
3
Let g = -2 - -1. Let o(b) = -17*b - 1. Let a be o(-1). Calculate the remainder when 29 is divided by 20/a*(-8)/g.
9
Let r(k) = -5 - 2*k - 7*k - k**2 + k**2 - k**2. Let q be r(-8). Suppose -d + 16 = q*d. What is the remainder when d is divided by 3?
1
Suppose -5*c + 280 = 5*o, -4*o + 107 = -4*c - 133. Calculate the remainder when o is divided by 12.
10
Let a(v) = v**2 - 4*v - 4. Let j = -3 - -25. Calculate the remainder when j is divided by a(-2).
6
Let p be 6*(-1 + 20/6). Let b = 2 + p. Calculate the remainder when b is divided by 6.
4
Suppose -j + 10 = 4*n, 7*j + 4*n - 114 = 2*j. Let f(u) = -u**3 + u + 2. Let w be f(0). Suppose w*k = 4*k - 14. What is the remainder when j is divided by k?
5
Let n(q) = -q**3 - 6*q**2 + q + 2. Let y(c) = 3*c + 1. Let p be y(-2). Let d be n(p). Let g = d + 39. Calculate the remainder when 32 is divided by g.
10
Suppose 2*w + 4*p - 168 = 0, w - 9*p - 84 = -12*p. What is the remainder when w is divided by 43?
41
Let b = -2 - -14. What is the remainder when (-49 - b)/(1 + -2) is divided by 16?
13
Suppose -2*z = -4*t + 110, -2*t + 0*t = -4*z - 40. Let w = -14 + t. Suppose -3*p + 172 = 34. Calculate the remainder when p is divided by w.
14
Let y = 7 + -5. Let z(j) = 9*j**2 + 1. Calculate the remainder when z(y) is divided by 13.
11
Let t = 13 - 5. Calculate the remainder when t is divided by 5.
3
Suppose -2*g - 2*n = -20, 3*g + n = -g + 55. Calculate the remainder when g is divided by 4.
3
Let w(l) be the first derivative of l**3