3
Suppose -8*g - 28 = -10*g. What is the remainder when g is divided by 4?
2
Suppose 2*d = 3*q + 6*d + 8, 5*q = 3*d + 6. Suppose q*j + 5*j = 5*w + 25, 0 = 4*w. Calculate the remainder when 18 is divided by j.
3
Let u(c) = c**2 + 5 - 1 - 3*c + 0*c**2. Let a = 2 + 2. What is the remainder when 22 is divided by u(a)?
6
Suppose -3*n - 109 = -4*q - 405, -2*n - 2*q + 216 = 0. Suppose 0 = -6*h + 2*h + n. What is the remainder when 77 is divided by h?
25
Suppose -15 = -5*d - 5*v, v + v - 6 = 5*d. Suppose d = -0*j - 5*j + 105. What is the remainder when j is divided by 12?
9
Suppose -9 + 1 = -2*w. Let g(v) = -w*v - 4 + 4*v**2 + 2*v + 3*v. What is the remainder when g(4) is divided by 22?
20
Let y(m) = 13*m + 1. Let k be y(4). Let s = k - 24. What is the remainder when s is divided by 15?
14
Suppose 3*x = w - x - 6, 4*w - x = 9. Suppose s = -13 - 3. Let u = s + 21. What is the remainder when u is divided by w?
1
Suppose 4*k + 2*o = 372, -3*k + 6*o - 3*o = -297. What is the remainder when k is divided by 16?
15
Let q be -1 + (-2 - (0 - 133)). Let s be (0 + -3)/(15/(-20)). Suppose i = -s*i + q. Calculate the remainder when i is divided by 9.
8
Suppose 51 = 3*r - j, -j = 3*r - 5*j - 51. Let v = 16 + 32. What is the remainder when v is divided by r?
14
Suppose 18 = 4*v - 2*s, 2*v = 3*v + 3*s + 13. Let j = 3 + v. Calculate the remainder when 3 is divided by (j + -1)*(-4)/(-8).
1
Let h = -9 + 27. Let y = h + -14. What is the remainder when y is divided by 4?
0
Let u = 10 + -7. Suppose u*o - 50 = -4*x, -3*o - o - 47 = -5*x. Calculate the remainder when 21 is divided by x.
10
Let a(m) be the third derivative of m**4/12 + m**3/2 - 4*m**2. What is the remainder when a(7) is divided by 5?
2
Let g(v) = -15*v + 3. Let z be g(-3). Suppose 0*c + z = 4*c. What is the remainder when 35 is divided by c?
11
Let u be (-8)/(-4)*66/(-3). Calculate the remainder when (u/(-3))/((-2)/(-3)) is divided by 8.
6
What is the remainder when 9 + 6 + (-6 + 3)/(-3) is divided by 7?
2
Suppose 0 = -2*a + q + 2*q + 7, 4*a + q = 49. Suppose -4*s = 3*j - 232, s + 1 = 5. Let b = 103 - j. What is the remainder when b is divided by a?
9
Suppose 4*d = 3*w - 12, 0 = 4*w - 0*d - d - 16. Let h(u) = 3*u**2 - 5*u + 3. Calculate the remainder when h(w) is divided by 11.
9
Suppose 2*g - 4*g + 110 = 0. Calculate the remainder when g is divided by 16.
7
Let k(j) = 8*j + 68. Calculate the remainder when k(13) is divided by 16.
12
Let y(j) = -j**3 + 9*j**2 + 2*j - 6. What is the remainder when y(8) is divided by 26?
22
Let w(k) = -k**2 - k - 3. Let i be w(3). Let g = -6 - i. Suppose j = -2*m + 15, j + 4*j = 4*m + 5. What is the remainder when g is divided by m?
4
Suppose 0*t = -2*t + 5*q + 23, 0 = 5*t - 4*q - 32. Suppose 0 = -j - 2 + 8. What is the remainder when j is divided by t?
2
Let u(n) = -20*n - 11. Let c = 12 - 7. What is the remainder when u(-1) is divided by c?
4
Suppose o = -5*b - 1, b = -0 - 2. Calculate the remainder when 24 is divided by o.
6
Suppose p - 34 = s, s + 34 = -5*p + 234. Calculate the remainder when p is divided by (-10 - 10)*-1*(-2)/(-2).
19
Let q(d) = 2*d**2 + 25*d + 15. Calculate the remainder when q(-12) is divided by 3.
0
Calculate the remainder when -104*((-5)/2 + 2) is divided by 27.
25
Let l(c) = -5*c + 10. Let v(m) = 11*m - 21. Let g(q) = -13*l(q) - 6*v(q). Let d = -5 + -3. Calculate the remainder when g(d) is divided by 3.
1
Let m(s) = s**2 + 3*s + 11. Let q = 11 - 18. Let o(p) = 19*p**3 + 2*p**2 - 2*p + 1. What is the remainder when m(q) is divided by o(1)?
19
Suppose -5*x + 17*x - 180 = 0. What is the remainder when 177 is divided by x?
12
Let q be (-2 - -3) + (2 - 1). Suppose -4*j + 4*s + 24 = 0, -q*j - j = -s - 22. What is the remainder when j is divided by 5?
3
What is the remainder when 44 is divided by 37/3 + 12/18?
5
Calculate the remainder when 58 is divided by 51*(3 + -4)/(-3).
7
Suppose 0 = 4*q - 6*q + z - 2, z - 2 = 5*q. Suppose q*r + 5*d = -5*r + 410, 3*d + 149 = 2*r. What is the remainder when r is divided by 20?
19
Suppose 4*k = -0*k + 104. Let t be (k - -2)/(-3 - -2). Let m = t + 54. Calculate the remainder when m is divided by 9.
8
Let i = 101 - 89. Calculate the remainder when (-4)/(-10) - 168/(-5) is divided by i.
10
Suppose -8*p = -918 + 54. Calculate the remainder when p is divided by 11.
9
Suppose 0 = -5*l - 12 + 127. Calculate the remainder when 89 is divided by l.
20
What is the remainder when -5*5/(-50)*14 is divided by 4?
3
Let z(x) = 4*x - 2. Let o be z(-7). What is the remainder when 39 is divided by 1/((-6)/4)*o?
19
Let i(b) = b**3 + 10*b**2 + 9*b + 6. Let r be i(-9). Suppose 54 = 5*y - r. Calculate the remainder when 23 is divided by y.
11
Suppose -4*u = -42 + 2. Suppose -5*h + 7 + 3 = 0. Suppose -k + h*d + 7 = -5, 4*d = -5*k + 102. Calculate the remainder when k is divided by u.
8
Suppose -8*c = -5*c - 63. Calculate the remainder when 79 is divided by c.
16
Let c = 108 - 78. Let o(i) = -6*i - 1. Calculate the remainder when c is divided by o(-3).
13
Suppose -7*y = -0*y - 189. What is the remainder when y is divided by 14?
13
Suppose r - 10 = -3. Let b be r/(-4) - (-7)/(-28). What is the remainder when 46 is divided by (2 - 2) + 14 + b?
10
Let v(o) = 4*o**2 - 4*o + 2. Let s be -4 + (-2 + -1)/(-3). Let h = -1 - s. Calculate the remainder when v(h) is divided by 6.
4
Let x = -4 + 2. Suppose 0*q = -q + 65. What is the remainder when q is divided by -4*(18/(-8) + x)?
14
Let c = -96 + 66. Let t = 47 + c. Suppose -4*h - 3*f = -4*f - 25, -4*f - 16 = -2*h. Calculate the remainder when t is divided by h.
5
Let d = 157 - 41. Suppose -4*v - 140 = d. Let w = -39 - v. Calculate the remainder when 73 is divided by w.
23
Suppose -3*h + 8 = h. Suppose j - 69 = -h*j. Suppose 0 = -4*u + 87 - j. What is the remainder when 31 is divided by u?
15
Let n(q) = 40*q - 2. Suppose z + 5*p - 40 = 0, -6*p - 20 = -2*p. Suppose 0 = 3*s + 2*s - z. What is the remainder when n(1) is divided by s?
12
Let j = 8 + 7. Calculate the remainder when (-2 - -1) + -1 + j is divided by 4.
1
Suppose q - 5 = 1. Let o = q + -8. Calculate the remainder when 4 + 0*1/o is divided by 3.
1
Calculate the remainder when (-230)/(-6) + (-18)/(-27) is divided by 11.
6
Let d(b) = -b**3 + 8*b**2 - 7*b + 4. Let t be d(7). Suppose 2*g - 38 = -2*u, 2*g = t*g + 3*u - 36. Calculate the remainder when g is divided by -1*6/3 - -13.
10
Let s(i) = 7*i - 6. Suppose -b + 36 = b. Suppose -b + 3 = -3*d. Calculate the remainder when s(d) is divided by 15.
14
Suppose 18*q - 3345 = 3*q. Calculate the remainder when q is divided by 56.
55
Suppose -4*t = -3*k + 5*k + 42, -4*k + 6 = -2*t. Let n(s) = s**3 + 9*s**2 - s. What is the remainder when (-1)/(3/4)*-12 is divided by n(t)?
7
Suppose f + 404 = 4*k - 3*f, 0 = k + 2*f - 116. What is the remainder when k is divided by 27?
25
Let t = -6 + 3. Let r = t + 12. What is the remainder when 17 is divided by r?
8
Let x = 10 + -9. Calculate the remainder when 4 is divided by x/(-1)*(-7 + 4).
1
Suppose q + 135 = 4*q. What is the remainder when q is divided by 6/(-21) + 114/7?
13
Let y(x) = 14*x + 1. Let w be 10 + 1/3*0. Suppose -3*z + 4*z = w. Calculate the remainder when y(2) is divided by z.
9
Suppose -5*q + 41 = -5*m - 9, -2*q - 2*m = -16. What is the remainder when 24 is divided by q?
6
Suppose -2*z = -3*z. Suppose w + 0*w - 5*g = -3, 4*w - 4*g - 52 = z. Calculate the remainder when 32 is divided by w.
15
Suppose 3*j - 19 = -4. What is the remainder when 7 is divided by j?
2
Let r be ((-68)/(-6))/((-4)/(-6)). Let w = r - 12. Calculate the remainder when w is divided by 2 + (1 - (-2 + 2)).
2
Let n be 1/((-1)/(-7)) - -1. Let j(k) = k**3 - 9*k**2 + 9*k + 8. What is the remainder when 46/(-2 - -3) - (-2 - -1) is divided by j(n)?
15
Suppose -5*t + 6 = o, -5*o + 70 = 4*t + t. Suppose -4*j + o = -0*j. Suppose j*n = 15 + 133. What is the remainder when n is divided by 13?
11
Suppose 8*o - 12 = 7*o. What is the remainder when 33/o*(2 - -6) is divided by 9?
4
Suppose h = 3*z - 44, 2*z - 29 - 3 = -2*h. Calculate the remainder when 148 is divided by z.
13
Let r be 1/(-4) + (-254)/8. Let o = -13 - r. Let z = 19 + o. What is the remainder when z is divided by 13?
12
Let z be ((-12)/(-10))/(7/70). What is the remainder when 89 is divided by (184/z)/(2/3)?
20
Let a = -10 - -14. What 