 = -0*f + 15. Calculate the remainder when 29 is divided by f.
14
Let f(m) = 5*m**2 + 3*m + 1. Let b be f(-2). Suppose -b = 5*a - u + 48, 2*a + 4*u = -12. Let x = a - -31. Calculate the remainder when 37 is divided by x.
18
Suppose -p - 1 = 0, -2*o = -6*p + 2*p - 10. Suppose o*v - 19 = 8. What is the remainder when 15 is divided by v?
6
Suppose 4*c + 16 = 4*q, 2*q - 3*c + 8*c - 15 = 0. Suppose 0 = -q*p + 3*t + 34 + 33, -3*t - 23 = -p. Calculate the remainder when 32 is divided by p.
10
Let g(y) = y**2 + 14*y - 58. What is the remainder when g(-20) is divided by 9?
8
Let z be 45/(-6) + (-2)/4. Let l = z + 8. Suppose 5*j - 4*j + 319 = 4*n, -3*n - j + 248 = l. What is the remainder when n is divided by 21?
18
Let z(s) = s**3 - 7*s**2 + s - 7. Let v be z(7). Suppose -20 = -5*u - q, 3*u = -v*u + 4*q - 11. Calculate the remainder when 7 is divided by u.
1
Let b be (-6)/(-9) - 5/3. Let n = 6 + b. Suppose 2*x = -3*m + 37, 0 = 2*m - 4*m - 3*x + 33. Calculate the remainder when m is divided by n.
4
Suppose -k = -2, -4*s + 13 = 2*k - 7. Suppose 0 = a + a - s*h - 28, a - 14 = 5*h. What is the remainder when a is divided by 5?
4
Suppose -83 = -2*x - 3*z, 2*x - 63 = 4*z + 41. What is the remainder when x is divided by 13?
7
Suppose -4*b = 3*y - 203, 5*y - 315 = -0*y + 5*b. Suppose 5*t - 31 = -2*a, 2*a - 42 = -2*t - 2. Let c = a + -1. What is the remainder when y is divided by c?
21
Let c = -17 + 35. Let i = -57 + 110. Calculate the remainder when i is divided by c.
17
Let v = -91 - -158. What is the remainder when v is divided by 23?
21
Suppose -5*x + 610 = -3*f + 89, f = -2. Suppose -3*l - 4*o = -121, -x + 15 = -2*l + o. Calculate the remainder when l is divided by 15.
13
Suppose 0 = 2*k + m - 13, -5*m - 20 + 4 = k. Calculate the remainder when 70 is divided by k.
7
Let r = -35 - -112. What is the remainder when r is divided by 20?
17
Suppose 12 + 24 = 2*h. Calculate the remainder when 52 is divided by h.
16
Let p(f) = -f**2 + 5*f + 6. Let x be p(6). Suppose i - 5 = -y, -6*y + 11*y - 3*i - 17 = x. Calculate the remainder when 10 is divided by y.
2
Let q(j) = -16*j - 2. Suppose 0 = -53*r + 52*r + 16. What is the remainder when q(-4) is divided by r?
14
Suppose -4*d + 40 = -2*n + n, -2*d = 2*n - 30. Let t = -6 + d. Calculate the remainder when t is divided by 4.
1
Suppose 2*l - 32 = 4*k + 62, -232 = -4*l - 3*k. Calculate the remainder when l is divided by 16.
7
What is the remainder when 46 is divided by 1 - 1 - (1 - 13)?
10
Let d = -150 + 226. Let u(j) = -3*j + 71. Calculate the remainder when d is divided by u(15).
24
Let c(g) = 2*g**2 - 5*g + 1. Suppose 18 = 7*n - 4*n. What is the remainder when c(n) is divided by 22?
21
Let h(r) = r**3 + 7*r**2 + 5*r + 8. Calculate the remainder when h(-6) is divided by 5.
4
Let j(i) = 15*i + 8*i - 2 - 2. Let r be j(4). Let p = r + -53. Calculate the remainder when p is divided by 12.
11
Suppose q + 3*w = 7, -3*q + 19 + 2 = 5*w. Calculate the remainder when 10 is divided by q.
3
What is the remainder when (5 + -13)*(0 - 1) is divided by 2?
0
Let h = -5 + 13. Let q be -6*1/(2/(-10)). Suppose -h*g + q = -3*g. Calculate the remainder when g is divided by 4.
2
Let c(z) = 5*z**2 + 10*z + 13. Let g(h) = -9*h**2 - 20*h - 25. Let q(a) = 7*c(a) + 4*g(a). What is the remainder when 27 is divided by q(-8)?
6
Let d(g) = 18*g**2 - g - 2. Calculate the remainder when (3 - 0)/(-3) - -51 is divided by d(-1).
16
Suppose -d + 16 - 1 = 0. Let x = 0 + -2. What is the remainder when 11 is divided by (8/(-10))/(x/d)?
5
Let h = -25 - -42. Let d = 1 + 3. Suppose 0 = 2*u - 0*w - 3*w - 6, -d*w = 3*u - 43. Calculate the remainder when h is divided by u.
8
Suppose -3*u - 281 + 32 = 0. Let h = u - -132. Calculate the remainder when h is divided by 17.
15
Suppose -g - 14 = -4*i + 2, 3*g - i = 7. Suppose -2*v = -0*v - 4*p - 6, 3*v - 5*p = 6. Let l = v + 14. What is the remainder when l is divided by g?
3
Let c = 161 + -108. What is the remainder when c is divided by 14?
11
Let f(t) be the third derivative of -t**5/30 - 7*t**4/24 - 2*t**3/3 + 3*t**2. Let l be f(-5). Let j = l + 39. Calculate the remainder when 39 is divided by j.
19
Suppose 0 = -3*s - 2 + 17. Suppose 0 = -s*l - 15, w - l + 24 = 73. Calculate the remainder when w is divided by 16.
14
Let b = 2 - 8. Calculate the remainder when (148/b)/((-8)/12) is divided by 77/4 - 1/4.
18
Suppose 5*m - 25 = -10. What is the remainder when 5 is divided by m?
2
Suppose -f + 2*d + 15 = 0, 3*f - 41 = -0*f + 5*d. Calculate the remainder when (-36)/(-3)*5/3 is divided by f.
6
Suppose -j = -3*h + 64 + 32, -3*j = h - 42. What is the remainder when h is divided by 12?
9
Suppose -1 = -4*f + 19, 0 = 2*u + 2*f - 10. Suppose u*g + 4*g = 112. What is the remainder when g is divided by 10?
8
Suppose 8 = -4*z, h + 5*z = 4*h - 19. Suppose -7*u + h*u = -64. Let l = -39 + 85. Calculate the remainder when l is divided by u.
14
Let u(v) = v**2 - 6*v - 5. What is the remainder when 42 is divided by u(9)?
20
Suppose -19 = 2*f + 1. Let s(n) = n**3 + 10*n**2 + 9*n + 5. Calculate the remainder when s(-9) is divided by f/(-2) - (3 - 1).
2
Suppose 0 = 2*j + 2*j + 5*g - 73, 3*g = -5*j + 88. Calculate the remainder when j is divided by 10.
7
Suppose -2*c = -4 - 0. Let z = 10 + c. What is the remainder when z is divided by 7?
5
Suppose -5*i + 148 + 22 = 0. Suppose i = n + n. Calculate the remainder when n is divided by 5.
2
Let c(y) = -96*y**2 - 2*y - 1. Let x be c(-1). Calculate the remainder when ((-16)/80)/(1/x) is divided by 5.
4
Suppose -16*j - 504 = -25*j. What is the remainder when j is divided by 31?
25
Let f(a) = -a**3 - 4*a**2 + 2*a - 1. Let u(b) = b**3 - 5*b**2 + 3*b + 4. Let j be u(3). What is the remainder when 41 is divided by f(j)?
13
Let a(r) = r**3 + 5*r**2 - 8*r - 9. Let t be a(-6). Suppose 0 = 3*y + t*c + 2*c - 17, 38 = 4*y - c. Calculate the remainder when 17 is divided by y.
8
Let n = -1 + 8. Let u = n + 2. Let m(s) = -s**3 - 7*s**2 - 3*s + 5. What is the remainder when m(-7) is divided by u?
8
Let o be (-4)/(-5) + 1/5. What is the remainder when -1 - ((-34 - o) + -1) is divided by 12?
11
Calculate the remainder when (-673)/(-11) + (-24)/132 is divided by 21.
19
Let n(i) = 11*i - 16. What is the remainder when n(7) is divided by 21?
19
Suppose -16 = -3*n - 4*y + 40, -3*y - 42 = -3*n. Let m = n - -9. Calculate the remainder when m is divided by 9.
7
Let w be ((-36)/(-8))/((-6)/(-16)). Suppose -3*f = 2*j - 6, 5*f - w = j - 2. Calculate the remainder when 6 is divided by f.
0
Let s be 3 - (-3 - -8) - -166. Suppose 0 = 4*q + 4*d - s, 0 = -3*q - 2*d + 77 + 42. Calculate the remainder when q is divided by 13.
11
Let d = 22 + -7. What is the remainder when 72 is divided by d?
12
Let z(s) = -2*s + 4. Let w be z(2). Suppose 5*b + 3*v - 342 = 0, b + w*v - 46 = 5*v. Calculate the remainder when b is divided by 17.
15
Suppose 29 + 36 = 5*s + 5*j, -2*s + 2*j + 22 = 0. What is the remainder when 68 is divided by s?
8
Suppose 0 = 4*i + 3 - 23. Calculate the remainder when 15 - 9/((-6)/(-2)) is divided by i.
2
Let d = 4 + 7. Suppose 0*u - 64 = -3*u - 4*j, j = -u + 21. Calculate the remainder when u is divided by d.
9
Let h = 36 - 28. What is the remainder when 30 is divided by h?
6
What is the remainder when 28 is divided by (-5)/2*(-2 + (-4)/10)?
4
Suppose 142 = 5*b + 37. What is the remainder when b is divided by 8?
5
Let a = 1 + -1. Suppose 4*w = -5*y - 2 + 20, 3*y + 3*w - 12 = a. Suppose 0 = -0*q + y*q - 2. Calculate the remainder when q is divided by 1.
0
Let j = -18 - -168. Calculate the remainder when j is divided by 38.
36
Suppose -5*z - q = -71, -2*q - 2*q = -5*z + 66. Let f be ((-12)/z)/((-1)/7). Let p = f - -2. What is the remainder when 30 is divided by p?
6
Suppose -3*g + 2*g = -17. What is the remainder when g is divided by 3?
2
Suppose 5*i = i + 52. What is the remainder when i is divided by (1/2)/(2/28)?
6
Let x(v) = -v - 5. Let m be x(0). Let i(y) = -2*y + 3. Calculate the remainder when 24 is divided by i(m).
11
Let f(z) = z**3 + 2*z**2 - z + 2. Suppose 2*s + 5*p - 54 - 7 = 0, 4*s - 4*p = 108. Calculate the remainder when s is divided by f(2).
12
Suppose 4*n - 5*n = 56. Let i = -38 - n. Calculate the remainder when 33 is divided by i.
15
Suppose -13*w + 670 = -3*w. Calculate the remainder when w is divide