9.
26
Let c = 8 + -3. Suppose -3 - c = -k. Calculate the remainder when (1*-23)/(-1 - 0) is divided by k.
7
Let c(t) = t - 2. Let p be c(5). Suppose p*a = j + a, -6 = -4*j + 2*a. Suppose -4*l = 4*q, -8 = j*q + 3*l + l. Calculate the remainder when 7 is divided by q.
3
Let z = 0 + 6. What is the remainder when z/(-33) - 202/(-22) is divided by 5?
4
Let j be 2*((-27)/(-6) - 1). Let z = j + -4. What is the remainder when 1/((-2)/z)*-14 is divided by 11?
10
Let r be 3/(((-9)/2)/(-3)). Calculate the remainder when r/(3 - 1) - -12 is divided by 0 - 0 - (-5 - 2).
6
Let v be 1 - ((-2 - 103) + -1). Suppose 5*n = -v - 148. What is the remainder when 2/(99/n - -2) is divided by 12?
10
Let o(b) = 3*b**2 + 7*b + 9. Suppose -1 = 2*u - 21. What is the remainder when o(-4) is divided by u?
9
Suppose 2*r - 2*v - 6 = 0, v = 2*v. What is the remainder when 2/(-5) - 414/(-10) is divided by -1*r - (-9 + -5)?
8
What is the remainder when 14 is divided by (-3)/(27/(-18))*(-14)/(-4)?
0
Suppose -4 = -2*m - 3*w + 3, 3*m - 12 = -3*w. What is the remainder when m is divided by 2?
1
Suppose 0*c = -2*c + 16. Calculate the remainder when 78 is divided by c.
6
Suppose -1 + 3 = 2*k. Let f = 10 + -6. Let l = f + -2. Calculate the remainder when l is divided by k.
0
Let i = -150 + 215. Calculate the remainder when i is divided by 22.
21
Suppose -5*h - 2*b = -130, 52 = 2*h + 5*b - 6*b. Calculate the remainder when h is divided by 10.
6
Let z = 75 + -54. What is the remainder when z is divided by 11?
10
Let q = 59 - 45. Calculate the remainder when 55 is divided by q.
13
Suppose 10*x - 7*x = 12. What is the remainder when 22 is divided by x?
2
Suppose 0 = 3*m - 19*m + 5232. What is the remainder when m is divided by 30?
27
Suppose 67*k - 666 = 58*k. Calculate the remainder when k is divided by (2 + -1 + -2)*-25.
24
Suppose 5*j + 3*k - 2*k = 116, 5*k + 20 = 0. Let s = 35 - j. Let d = -63 - -94. What is the remainder when d is divided by s?
9
Let d(f) be the first derivative of f**4/4 + f**3/3 - f**2 + 3*f - 2. Let h = 32 + -12. What is the remainder when h is divided by d(2)?
9
Let r(s) = -s**3 - 5*s**2 - s + 6. Let a be -1 + 3*-1 + -1. What is the remainder when 21 is divided by r(a)?
10
Suppose 2*v - 3*v + 71 = 0. Suppose 3*q + 0 = -4*h - 145, q - 4*h = -43. Let r = -23 - q. Calculate the remainder when v is divided by r.
23
Let b(v) = 4*v - 32. What is the remainder when 23 is divided by b(11)?
11
Suppose -6*b + 3*b + 51 = 0. Suppose 5*a - 4*r = 70, 2*a = 6*a - 3*r - 55. What is the remainder when b is divided by a?
7
Suppose -3*k - 4*b = -6*b - 91, 2*k - 67 = -5*b. What is the remainder when 91 is divided by k?
29
Let x be (3/2)/((-3)/4). Let f = -2 - x. Suppose f = -3*b - 5*j + 23, -4*b - 2 = -5*b + 4*j. Calculate the remainder when 16 is divided by b.
4
Suppose -2*d = -4*b - 0*b - 44, 5*b - 5*d = -60. Let l = -7 - b. Suppose l*i = -5 + 47. What is the remainder when 41 is divided by i?
13
Suppose 6*i - 26 = -8. Suppose -11 = -3*h + 4. Suppose -h*c = -5*r - 38 - 17, 3*c = r + 29. What is the remainder when c is divided by i?
0
Let x = 2 - -15. Let y = -7 + x. What is the remainder when 37 is divided by y?
7
Let k = -8 - -7. What is the remainder when 6 - -21 - (k + 1) is divided by 10?
7
Let z be (-3)/9 - 30/(-9). Suppose 0 = z*h + 3, 2*s - 10 = 4*h + 10. What is the remainder when (-2)/4*1*-46 is divided by s?
7
Let f(w) = 2*w**3 - w**3 + 0*w**3 - 8*w**2 + 3 - 10*w. Let v be f(9). Let c = -4 - v. Calculate the remainder when c is divided by 2.
0
Suppose 4*n - c - 157 = 0, n - 2*n - 4*c = -35. What is the remainder when n is divided by 8?
7
Let w(h) = -3*h - 10. Calculate the remainder when 66 is divided by w(-11).
20
Suppose 0 = -2*i - r + 10, r - 3 = 1. Suppose -i*p - 3*d = d + 2, 2*p - 4*d = -28. Let h = 59 + p. What is the remainder when h is divided by 14?
11
Let t be -2 + (2 + 1 - -12). Suppose -11 - t = -h. Calculate the remainder when h is divided by 13.
11
Suppose -5*s - 4*d = -93, 4*d = 5*s + 17 - 134. What is the remainder when ((-12)/(-6) - -1) + (-38)/(-1) is divided by s?
20
Let n(w) = -w + 23. What is the remainder when 53 is divided by n(-6)?
24
Let q be 1/2 + 3/(-6). Let x = -1 - q. What is the remainder when -2 + (x - 28*-1) is divided by 13?
12
Suppose -2*v + 3*v = 34. What is the remainder when 66 is divided by v?
32
What is the remainder when (-8)/(-14) - 2324/(-49) is divided by 17?
14
Let w = -101 - -142. Calculate the remainder when w is divided by 15.
11
Let m = -26 + 30. Calculate the remainder when (2 - 3)/(-1) + 9 is divided by m.
2
Let u = -5 - -7. Let k(h) = 10*h + 2. Calculate the remainder when k(u) is divided by 8.
6
Suppose -f + 5*d + 1 = -0*f, -38 = -2*f - 2*d. Let w = 135 - 90. Calculate the remainder when w is divided by f.
13
Let h(u) = -u**3 + u**2 - u + 68. Calculate the remainder when h(0) is divided by 24.
20
Suppose 5*h = 4*c + 10 - 224, -4*h - 110 = -2*c. What is the remainder when c is divided by 11?
7
Suppose -3 = -l - 5. Let s = l + -13. Let m = s + 31. What is the remainder when 31 is divided by m?
15
Suppose -50 = -4*m + 2*m. What is the remainder when m is divided by 14?
11
Let i = 29 - 18. What is the remainder when i is divided by 7?
4
Let f(g) be the second derivative of g**3 - 3*g**2/2 + 4*g. Calculate the remainder when f(4) is divided by 8.
5
Suppose -2*f = -93 + 13. Calculate the remainder when f is divided by 14.
12
Let a(i) = i**3 - 3*i**2 + 2*i - 3. Calculate the remainder when 5 is divided by a(3).
2
Let r = 57 + -22. What is the remainder when r is divided by 9?
8
Suppose 38 = -2*c + 3*c. Let v(w) be the second derivative of -w**5/20 - w**4/6 + 2*w**2 + w. Calculate the remainder when c is divided by v(-3).
12
Let z = 228 - 157. What is the remainder when z is divided by 19?
14
Let t(p) = p**2 + 6*p + 5. What is the remainder when t(-9) is divided by 17?
15
Let u = 126 + -48. Calculate the remainder when u is divided by 20.
18
Let r = -5 - -10. Suppose -q - q = 3*n - 16, r*q + n = 14. Let p(o) = 3*o**2 - 8*o - 7. What is the remainder when p(-1) is divided by q?
0
Let m(q) = 2*q**2 - 6*q. Let a(p) = -p**2 - 9*p + 5. Calculate the remainder when m(6) is divided by a(-8).
10
Let i = 485 + -185. What is the remainder when i is divided by 19?
15
Let l = 118 + -59. Calculate the remainder when l is divided by 15.
14
Suppose 3*y - 72 = -3*y. What is the remainder when y is divided by 3?
0
Suppose 1 = p - 2. Let z = 9 + -7. Calculate the remainder when ((-3)/(-2))/(p/8) is divided by z.
0
Let f(h) = -2*h. Let c be f(-1). What is the remainder when (-182)/(-4) + c/(-4) is divided by 16?
13
Let k(j) = -8*j**3. What is the remainder when 55 is divided by k(-1)?
7
Let d(n) = -3*n - 26. What is the remainder when d(-18) is divided by 11?
6
Let i(q) = -q**2 - q. Let t(n) = -2*n**2 - 3*n. Let x(r) = -8*i(r) + 3*t(r). What is the remainder when -2 + (1 - -13) + -2 is divided by x(2)?
4
Let r(m) = 2*m + 8. Let h be r(-6). Let f = h - -34. What is the remainder when f is divided by 24/2 - (-3 + -1)?
14
Suppose 3*c + 0 = 27. Let s = 6 - 4. Suppose s*b + 2*y - 1 - 17 = 0, 2*b - 30 = -5*y. What is the remainder when c is divided by b?
4
Suppose 0 = 5*x - 2*x - 42. Suppose -5*r - 5*p = -20, 0*r = -2*r + 4*p + x. Let n(a) = -a**2 + 7*a - 1. Calculate the remainder when n(5) is divided by r.
4
Suppose y = -4*l - 0*y - 56, 3*y = l + 27. Let i = l - -26. Calculate the remainder when 21 is divided by i.
10
Let g = -9 + 36. Suppose -i - 2*c = -3*c - 57, -5*c + 33 = i. What is the remainder when i is divided by g?
26
Let c = 167 + -90. What is the remainder when c is divided by 13?
12
Suppose -2*a = -6 - 0. Suppose -5 = -a*w + 1. Calculate the remainder when w is divided by 1.
0
Suppose 0 = 5*f + 5*q - 280, -108 = -2*f - 0*q - q. What is the remainder when 38 is divided by f/4 - (-3 - -3)?
12
Let r = 18 - 19. Let q = -9 + 21. Calculate the remainder when 30 + (0 + r)*-3 is divided by q.
9
Suppose 5*l + 36 = 3*p, 3*p + 0*p - 66 = -5*l. Calculate the remainder when 99 is divided by p.
14
Let i(d) = 2*d - 5. Let n be i(3). Calculate the remainder when 9 is divided by n*8 + 6 + -9.
4
Suppose j = -0*k + 3*k - 16, j + 3*k - 8 = 0. Let o = 1 - j. What is the remainder when o is divided by 2?
1
Let y = 11 + -7. Suppose 9*d - 85 = y*d. Calculate 