Let g be m(-1). Let b = -23 - g. Let q(r) = -r**2 + 35. What is the remainder when q(0) is divided by b?
11
Let y(h) be the second derivative of 23*h**3/6 + h**2/2 + h. What is the remainder when y(2) is divided by 12?
11
Let j = -18 + 42. Calculate the remainder when j is divided by 5.
4
Suppose -3 = -t - 2. Suppose -9*z + 11 - 2 = 0. What is the remainder when z is divided by t?
0
Suppose -2*w = 4*u - 24, -w - 3*u = -19 + 4. Suppose 67 - 228 = -7*b. Calculate the remainder when b is divided by w.
5
Let g(t) = t**3 + 2*t**2 + 2*t + 1. Let f be g(-1). Suppose -3*c - 4*z + 77 = f, 5*z - 20 = 5. What is the remainder when 55 is divided by c?
17
Suppose 4*z - 4*b = -12, 0 = 5*z + b - 1 + 4. Let r = 8 + z. Calculate the remainder when r is divided by (11/(-22))/((-2)/16).
3
Let v(i) = -2*i - 3. Let d be v(-3). Suppose -169 = -d*l - 55. Calculate the remainder when l is divided by 20.
18
Suppose 0 = 4*w + k - 20, -k = -4*w - 6*k + 20. Let d(h) = 5*h + 1. Let c be d(4). Let q = c - w. Calculate the remainder when 46 is divided by q.
14
Suppose 0 = -2*o - 2*o + 132. Calculate the remainder when o is divided by 7.
5
Let a be 12/18 - 40/(-3). Suppose -4*u + 46 = a. Calculate the remainder when 22 is divided by u.
6
Suppose 3*y = 4*g - 13, 2*y + 4*g = -4 + 2. Let x(u) = 6*u - 5. Calculate the remainder when 1/3 + (-164)/y is divided by x(4).
17
Suppose -l - 5 = -3*a + 5, l = a. Suppose -l*s - 37 + 202 = 0. Calculate the remainder when s is divided by 9.
6
Let b(d) = -13*d - 8. Calculate the remainder when b(-7) is divided by 28.
27
Let a = -13 - -38. Let l = 60 + 38. Calculate the remainder when l is divided by a.
23
Calculate the remainder when -2 - 0 - (-1)/(3/69) is divided by 8.
5
Suppose 0*z - 21 = -z. Suppose -z = -3*y + j + 57, 3*j = 9. What is the remainder when 78 is divided by y?
24
Suppose -4*t + 2*t = -3*o + 107, -2*o - t = -76. Calculate the remainder when o is divided by 20.
17
Suppose 0*t = -2*c - 5*t + 83, -2*c + 5*t = -33. What is the remainder when 114 is divided by c?
27
Let a(v) = 39*v**2 + v. What is the remainder when a(1) is divided by 11?
7
Let m(h) = -h**3 - h**2 - h. Calculate the remainder when 16 is divided by m(-2).
4
Suppose -3*r + 2*i = -31, 30 = 2*r - 0*i + i. Suppose 0 = 2*w - 5*b - 24, -3*b - 1 = w + b. Let n = 14 - w. Calculate the remainder when r is divided by n.
6
Let t(s) be the third derivative of s**5/60 - 5*s**3/6 + 2*s**2. Calculate the remainder when t(-5) is divided by 14/(-10)*(-25)/5.
6
Suppose 9*r - q + 1 = 4*r, 4*r + 4*q = -20. Let c(f) = -2*f**2 - 7*f - 6. Let t be c(-4). Let v = r - t. Calculate the remainder when 16 is divided by v.
7
Let j(p) = -4*p + 75. Calculate the remainder when 152 is divided by j(6).
50
Suppose -244 = -11*c + 790. What is the remainder when c is divided by 19?
18
Let f = 7 + -9. Let d be (f/4)/(1/(-4)). Suppose d*b = 87 - 13. Calculate the remainder when b is divided by 13.
11
Suppose 6*x = x + 35. Let p(b) = b**3 - 5*b**2 - 11*b + 7. Calculate the remainder when p(x) is divided by -25*((-9)/15 - 0).
13
Let p = 18 - -67. Suppose 0 = -3*z + 2*z + 22. What is the remainder when p is divided by z?
19
Let q = 9 + -5. Calculate the remainder when 37 is divided by 1/(-4) - (-81)/q.
17
Let q(a) = 4*a**3 + a**2 - 3*a + 1. Let d be q(2). Let y = d - 13. Calculate the remainder when y is divided by 10.
8
Let h = 10 - 7. Suppose -2*d + 85 = h*o, 4*d + 3*o - 143 = 6*o. Calculate the remainder when d is divided by 13.
12
Suppose 11*m = -36*m + 329. Let z = 4 + -1. Suppose 3*o + z*q = -2*o + 56, 4*o + q = 49. What is the remainder when o is divided by m?
6
Let v(n) = n**3 + 7*n**2 - 10*n + 1. What is the remainder when v(-7) is divided by 15?
11
Let y = -3 - 1. Let a(i) = -2*i - 7 + 2 - 8*i. What is the remainder when a(y) is divided by 12?
11
Let w = 68 - -27. Suppose w = u + 4*u. What is the remainder when u is divided by 5?
4
Let i be (-7 - -4) + (64 - 0). Suppose 0 = -5*v + 2*a + 175, 58 + i = 3*v - 4*a. What is the remainder when v is divided by 9?
6
What is the remainder when (-9)/(-3)*(118/6)/1 is divided by 32?
27
Let k(h) = -2*h**2 - 37*h + 41. Calculate the remainder when 173 is divided by k(-18).
55
Suppose 0 = 2*j + 3*d - 316, 0 = -j + 3*d - 61 + 228. Calculate the remainder when j is divided by 41.
38
Let h = 52 - 35. Suppose r = h - 3. Let x = -19 + 46. What is the remainder when x is divided by r?
13
Let f = -6 - -9. Suppose -f*x + 51 = -2*x. Calculate the remainder when x is divided by 18.
15
Suppose 5*g - 83 = -3*s, -g - 2*s + 11 = -0. Calculate the remainder when 75 is divided by g.
18
Let v be 4/((28/8)/7). Let h(w) = 2*w + 4. Calculate the remainder when h(v) is divided by 11.
9
Calculate the remainder when 47 is divided by -1 + 0/2 + 13.
11
What is the remainder when 25 is divided by (-1)/(0 - (-3)/(-30))?
5
Let g(m) = m**2 - 4*m - 11. Calculate the remainder when g(9) is divided by 12.
10
Let q = 13 + -4. Suppose 0 = -2*y - y. Suppose u = -y*u + 17. Calculate the remainder when u is divided by q.
8
Let p = -20 - -24. Suppose 5*n = p*x + 2*n - 59, -4*n - 18 = -x. Calculate the remainder when 53 is divided by x.
11
Let t = -33 + 79. Let b(d) = d**2 + 4*d - 7. Let j be b(-5). What is the remainder when 0 - t/(j/1) is divided by 8?
7
Suppose 5 = 4*s - 7. Suppose 0 = -s*t + 9 + 3. What is the remainder when t is divided by 3?
1
Let u = 62 + -56. Calculate the remainder when u is divided by 3.
0
Let v(b) = -34*b + 1. Suppose 0 = -2*x + 2 - 0. Let f be v(x). Let t = f + 47. What is the remainder when t is divided by 5?
4
Let l(v) = -v**3 + 9*v**2 + 2*v - 4. Let m be l(9). Suppose -b - 2*d + m = 0, 8*b - 5*b + 3*d = 45. What is the remainder when 47 is divided by b?
15
Suppose -s + 2 = -3. Suppose s*b - 40 = -3*m, -2*m + 2 + 3 = -b. Suppose 124 = -c + m*c. Calculate the remainder when c is divided by 16.
15
Let a(x) = -x**2 + 9*x - 4. Calculate the remainder when 29 is divided by a(4).
13
Suppose 3*j + 22 + 5 = 2*l, 2*l - 28 = 2*j. Calculate the remainder when 59 is divided by l.
14
Suppose -1 = 3*a - 49. What is the remainder when 42/(-1)*(-3)/2 is divided by a?
15
Suppose -4*n = 5*v + 36, 4*v = v + 5*n + 8. Let o be 3/6 - (-26)/v. Let x = 7 - o. What is the remainder when x is divided by 5?
3
Suppose -8*k + 18*k = 70. What is the remainder when 30 is divided by k?
2
Let i(z) = 2*z + 6. What is the remainder when i(7) is divided by 11?
9
Suppose -q + 4*w + 0*w = -28, 3*w + 86 = 4*q. What is the remainder when 59 is divided by q?
19
Suppose -2*i + 41 = 3*r, 5*i + 3*r - 85 - 40 = 0. What is the remainder when 81 is divided by i?
25
Let m be 1 - (2 + 3/(-3)). Suppose 3*b + 2*j - 4*j + 7 = m, 4*j = -4*b + 4. Calculate the remainder when 15 is divided by b/((-3)/(-6))*-4.
7
Let f(b) = -b**3 + 7*b**2 + 1 - 9*b + 0 + 5*b. Calculate the remainder when 36 is divided by f(6).
10
Suppose 8 = 3*a + 6*u - 2*u, 0 = 2*a + 4*u - 12. Let s be (-3)/(-2)*a/2. Calculate the remainder when 11 is divided by s*(-2 + (-3)/(-3)).
2
Suppose -5 = 5*c, c = -4*n + 42 + 73. What is the remainder when 55 is divided by n?
26
Suppose -5*w + 3*n = -251, w - 21 = 2*n + 32. Let o(m) = -2*m**3 - 2*m**2 - m. What is the remainder when w is divided by o(-2)?
9
Suppose -4*m = -3*h + 51, -7 = -h - 5*m + 10. What is the remainder when 33 is divided by h?
16
Suppose -5*f + 34 = -41. What is the remainder when f is divided by 9?
6
Suppose -2*z - 13 = -39. Let j(p) = p**3 + 129. Let g be j(0). Suppose 5*l - 5*q - g = -2*q, -2*q - 6 = 0. Calculate the remainder when l is divided by z.
11
Let x = 13 + -23. Let v = -6 - x. Suppose 44 = 4*k - 4*s, -55 = -5*k - 2*s - s. Calculate the remainder when k is divided by v.
3
Let g be (-494)/(-8) + (-3)/(-12). Suppose 2*u + 30 = y, -2*y + 5*u = 2*u - g. What is the remainder when y is divided by 12?
10
Let r = 54 + -36. Let f = 30 + -20. What is the remainder when r is divided by f?
8
Let i(o) = o**2 + 6*o - 7. Let h be i(-7). Suppose 5*b + h = 5. What is the remainder when 2 is divided by b?
0
Let x = 51 - 25. Calculate the remainder when x is divided by 15.
11
Calculate the remainder when (-3)/(-4) - 842/(-8) is divided by 36.
34
Let c = 13 - 11. Let i(w) = 3*w - 1. What is the remainder when i(2) is divided by c?
1
Let g(o) = -o**2 - 14*o - 37. Calculate the remainder when 1