
12
Suppose 3*r - 6 = 30. Let o = -11 - -15. Suppose -5*l - 5*z + 165 = 0, o*z + 55 + 23 = 2*l. What is the remainder when l is divided by r?
11
Let v be 30/50 - 2/(-5). What is the remainder when (v/(1/70))/2 is divided by 9?
8
Suppose 5*i = 4*i + g + 34, 0 = 5*i - 2*g - 179. Suppose -2*b + m = 3*m - 12, -4*b + 4*m = -56. Calculate the remainder when i is divided by b.
7
Let k(p) be the third derivative of 0*p - 1/12*p**4 + 0 - p**2 - 1/3*p**3 + 3/20*p**5. What is the remainder when k(2) is divided by 16?
14
Calculate the remainder when 54 is divided by -1 + 3 - (-12)/1.
12
Let r(u) = u**2 - 12*u + 13. Let d be (-15)/(-9)*(-2 - 7). Let v = -10 - d. Calculate the remainder when v is divided by r(11).
1
Let z(g) = 2*g**2 - g - 7. What is the remainder when 13 is divided by z(-2)?
1
Suppose 5*v - 33 = -8. Suppose -4*m + 3 + 0 = -a, -5*a + 15 = -v*m. Suppose d = a*d - 12. Calculate the remainder when 5 is divided by d.
2
Let d = -32 + 96. Let x be ((-1)/(-1))/((-5)/(-20)). Suppose x*a + a - 110 = 0. Calculate the remainder when d is divided by a.
20
Let v be (-2)/(9/((-54)/(-4))). Let q(w) = w**3 + 3*w**2 - 5*w - 4. Calculate the remainder when 42 is divided by q(v).
9
Let y(t) = -9*t + 14. What is the remainder when y(-5) is divided by 21?
17
Suppose -4*a + 9*a = 60. Let w(v) = 3*v**2 + 3*v - 2. Let t(s) = 3*s. Let m be t(1). What is the remainder when w(m) is divided by a?
10
Let c = 33 + -24. What is the remainder when 15 is divided by c?
6
Suppose n - 52 = -2*b - 2*n, -b = -2*n - 33. Calculate the remainder when b is divided by 8.
5
Let p = 52 - 44. Calculate the remainder when p is divided by 2.
0
Let q = 39 - 26. Suppose 0 = -i - 2*i + 69. What is the remainder when i is divided by q?
10
Suppose -u + 26 + 33 = 0. What is the remainder when u is divided by 15?
14
Let d(m) = -m + 1. Let i be d(1). Let a = 3 - i. Calculate the remainder when a is divided by 1.
0
Let m(h) = h**2 - 5*h + 1. Calculate the remainder when (-2)/6 - 21/(-9) is divided by m(5).
0
Let u(k) = k**3 - 6*k**2 + 3*k + 7. Let x be u(5). Suppose -n + 3*n + 2 = 0. Let d = n - x. Calculate the remainder when 2 is divided by d.
0
Suppose 0 = -6*l + 2*l + 60. Let p(x) = 2*x + x - 4*x + 14. Calculate the remainder when l is divided by p(6).
7
Let u(v) = v - 2. Let h be u(4). Suppose h*g + g - 6 = 0. What is the remainder when (-12)/4 - ((-21)/(-3) - 14) is divided by g?
0
Let f(v) = -v**2 - 6*v + 8. Let i be f(-6). Suppose -3*u + 7*u = i. Calculate the remainder when (-156)/(-48) - (-1)/(-4) is divided by u.
1
Suppose 5*i + 11 = 56. Let b = i - 17. Calculate the remainder when 56 is divided by (b/(-24))/(2/114).
18
Suppose -3*z + 27 - 5 = 2*k, 5*k + 4*z = 48. Suppose 147 = -5*a - k. Calculate the remainder when -2 - (4/2 + a) is divided by 14.
13
Let d(m) = -10*m**2 + 7*m - 7*m + 8 - 2*m**3 + m**3 - m. Calculate the remainder when 71 is divided by d(-10).
17
Suppose 3*u + 0 - 6 = 0. Suppose u*s + 13 = 33. What is the remainder when 37 is divided by s?
7
Let o = -14 - -18. What is the remainder when 18 is divided by o?
2
Let q(u) = -u**2 - 16*u - 14. What is the remainder when 39 is divided by q(-14)?
11
Let t(j) = -j**3 + 14*j**2 - 14*j + 22. Calculate the remainder when 15 is divided by t(13).
6
Let r(z) = z**2 - 6*z - 2. Let j be r(9). Suppose -2*s = 3*s - 210. Let t = s - j. Calculate the remainder when t is divided by 9.
8
Let k(w) = -w**3 - 4*w**2 - 2*w - 5. Let z be k(-4). Suppose -y - 17 = -5*u, 7*y = -z*u + 3*y + 1. What is the remainder when u is divided by 2?
1
What is the remainder when 12 is divided by 0 + -5 - 6/(-1)?
0
Let s(d) = -d**3 + 3*d**2 + 3*d + 1. Calculate the remainder when s(3) is divided by 6.
4
Let o(x) = 2*x**3 + 2*x**2 + 2. Calculate the remainder when o(3) is divided by 25.
24
Let y = -31 + 92. Calculate the remainder when y is divided by 16.
13
Suppose 0 = 4*b - 5*y - 43, 4*b - b - 4*y - 32 = 0. Calculate the remainder when 20 is divided by b.
8
Calculate the remainder when 109 is divided by (-800)/(-36) - (-4)/(-18).
21
Let t = 14 + -4. What is the remainder when 27 is divided by t?
7
Let k be (-48)/(-5) - 6/(-15). Let b be 72/20 - (-4)/k. Suppose 5*f = -2*p + 93, -b*p = 2*f + f - 67. What is the remainder when f is divided by 6?
5
Let w = -12 + 17. Calculate the remainder when w is divided by 57/21 - (-2)/7.
2
Let k = 51 + -35. Suppose -5*c = 3*c - 232. Calculate the remainder when c is divided by k.
13
Suppose -37 - 107 = -2*q. What is the remainder when q is divided by 25?
22
Calculate the remainder when 6 is divided by ((-6)/(-24))/((-2)/(-8)) + 2.
0
Let c = -8 - -57. Calculate the remainder when 97 is divided by c.
48
Let b(c) = 13*c**2 + 4*c**3 + 9 + 32*c + 0*c**3 - 3*c**3 - 47*c. Calculate the remainder when b(-14) is divided by 6.
5
Suppose 0 = 3*i - 2*z - 23, -i + 1 = 5*z - 1. Calculate the remainder when i is divided by 4.
3
Let t = 61 + -37. Suppose 0 = b - 0*b - y - 90, -395 = -4*b - 3*y. What is the remainder when b is divided by t?
23
Let i(s) = -s - 8. Let z be i(0). Let k = z - -17. What is the remainder when 15 is divided by k?
6
Let j = 7 - 5. Suppose 4*o = -20, -2*t + 0*o = -j*o - 138. Calculate the remainder when t is divided by 17.
13
Let c(w) = -w**3 - 9*w**2 - 2*w - 13. Let u be c(-9). What is the remainder when 222/15 + (-4)/u is divided by 8?
6
Suppose -i = -0 - 3. Let k = 1 - -1. What is the remainder when i is divided by k?
1
Suppose 3*j + 0*c + 5*c = 159, 2*j + 2*c - 110 = 0. Calculate the remainder when j is divided by 20.
18
Suppose -2*g + 57 = j + 2*g, 0 = -4*j + 3*g + 133. Suppose 4*s - j = 7. Let r = 47 + -26. Calculate the remainder when r is divided by s.
10
Let z = -6 + 3. Let n(v) be the third derivative of v**5/30 - v**4/24 + 2*v**3/3 - 3*v**2. What is the remainder when n(z) is divided by 9?
7
Suppose 0 = -4*k - 69 + 277. Let x be (-2 - 1)*k/(-6). Let p = x + -10. Calculate the remainder when p is divided by 9.
7
Let w(r) = r**2 + 2*r + 30. Calculate the remainder when 118 is divided by w(0).
28
Suppose 5*i + 12 = -3, -3*v = 4*i - 60. What is the remainder when 4/(-3)*-3 + v is divided by 15?
13
Let y be (-4)/(-1*4/16). What is the remainder when y/4*38/8 is divided by 5?
4
Suppose -b - 30 = -6*b. Suppose -b + 38 = 2*u. What is the remainder when u is divided by 6?
4
Let u = 0 + 7. Suppose -5*i + u = -8. Suppose -4*h = i*l - 44, -4*h - 5*l = -2*h - 8. What is the remainder when 27 is divided by h?
13
Let d = -4 - 11. Let t = d + 26. Calculate the remainder when (28/6)/((-6)/(-27)) is divided by t.
10
Suppose 0 = l + 2*l - 303. What is the remainder when l is divided by 26?
23
Let m(v) = -v**3 - v + 10. Let j be m(0). Suppose -4*w + 6*w + j = 0. Let c = -2 - w. What is the remainder when 8 is divided by c?
2
Let f(g) be the third derivative of -g**4/8 - g**3/2 - 4*g**2. Calculate the remainder when 23 is divided by f(-4).
5
Suppose 7 = -3*d + 4*d. What is the remainder when 12 is divided by d?
5
Suppose -4*c = -10 - 2. What is the remainder when (-3 - c)/(-2) + 13 is divided by 6?
4
Let v = -29 + 33. Let r = -6 - -9. Calculate the remainder when v is divided by r.
1
Suppose -4*k = -2*k - 6. Suppose -48 = -y - k*y. What is the remainder when 1/(2*(-2)/(-84)) is divided by y?
9
Suppose 0*s = -3*s + 45. What is the remainder when s is divided by ((-108)/45)/((-3)/10)?
7
Suppose -4*l + 52 = -m, 1 = -5*l - 4*m + 66. Let d(y) = y**2 - 11*y - 13. What is the remainder when 37 is divided by d(l)?
11
What is the remainder when 21 is divided by (-10*2/(-12))/((-5)/(-15))?
1
Suppose 5*w + 5*s = 5, 0 = -4*s + 2*s - 6. Suppose -w*d = d. Suppose d = -0*q - 3*q + 48. What is the remainder when 31 is divided by q?
15
Let a(g) = -g**3 + 6*g**2 + 18*g - 4. Let w = -4 + 11. What is the remainder when a(8) is divided by w?
5
Suppose 5*s - 10 = -0*s. Calculate the remainder when s*(-3)/2 - -39 is divided by 10.
6
Suppose 3 = -5*u + 43. Calculate the remainder when 30 is divided by u.
6
Let w = 1 + 2. Suppose -2*r = 2*o + 2*r + 4, -3*o + 3*r = -w. Let a(v) = v**2 + 10. What is the remainder when a(o) is divided by 4?
2
Let w(o) = -o**2 + 9*o. Suppose -5*s + 200 = 4*u, -2*u + 130 = -0*s - 5*s. Calculate the remainder when u is divided by w(7).
13
Let i(k) = 7*k. What is the remainder when 25 is divided by i(2)?
11
Suppose 4*b - 3