 Suppose -4*c + 2*c + z = 0. Calculate the remainder when c is divided by 4.
2
Suppose 17*u - 78 = 14*u. Calculate the remainder when 77 is divided by u.
25
Suppose 5*z + 170 = 5*h - 50, 4*z = -2*h + 88. Suppose -w = w - h. What is the remainder when 87 is divided by w?
21
Let v(b) = -24*b - 4. Let j be v(-6). Let x = j + -99. What is the remainder when x is divided by 14?
13
Let x(y) = -y**3 + 7*y**2 + 4*y + 5. Let i be x(8). Let v = 29 - i. What is the remainder when v is divided by 19?
18
Suppose 0 = -8*t + 3*t + 3*y + 4, -4*t - 10 = 2*y. Let f be t*2 - 36/(-6). Suppose 0*l = f*l - 52. What is the remainder when 51 is divided by l?
12
Suppose -o - 2*o + 5*r + 44 = 0, 3*r + 8 = o. Let j = 56 + o. What is the remainder when j is divided by 27?
25
Let j = 36 - 32. Calculate the remainder when 14 is divided by j.
2
What is the remainder when 316/5 + 1/(-5) is divided by (-1*4)/(1/(-4))?
15
Let h be -1 - (3 - 2)*-11. Let c = 16 - h. What is the remainder when ((-8)/c)/(10/(-195)) is divided by 9?
8
Let g be (-3 + 1)/(2/(-13)). Let f = -10 + g. Calculate the remainder when 8 is divided by f.
2
Let c(l) = -2*l + 1. Calculate the remainder when 4 is divided by c(0).
0
Let t(w) = -6*w + 2. Suppose 11*q - 2 = 13*q. Suppose y + b + 0 = 15, -4*y + 5*b = -51. What is the remainder when y is divided by t(q)?
6
Let s be (-2)/(-3)*21/14. Let l be (-5 - -6) + 3*s. Suppose -w = -l*h + 2*h - 15, 110 = 4*w + 2*h. What is the remainder when w is divided by 9?
7
Suppose -187 = -3*q - 46. Suppose -j + q = 4. Suppose -61 = -4*p - w, 2 = -4*w + 6*w. What is the remainder when j is divided by p?
13
Suppose 0 = -13*k + 15*k - 30. Suppose 0 = -g + j + 7, 2*g + 0*j - j = 11. Calculate the remainder when k is divided by g.
3
Let z = 108 - 69. Suppose 7*y + 2*f = 2*y + 60, 3*f + 35 = 5*y. Calculate the remainder when z is divided by y.
9
Suppose 26*w - 150 = 20*w. Calculate the remainder when 48 is divided by w.
23
What is the remainder when 33 is divided by -1 + 3 - 45/(-15)?
3
Suppose 4*z = 201 + 55. Let x = 74 + -127. Let q = x - -75. Calculate the remainder when z is divided by q.
20
Let y = 4 + -1. Suppose 2*s - 20 = -5*d - 8, d + 1 = y*s. Suppose -3*b - d*b = -95. What is the remainder when b is divided by 10?
9
Suppose 0*t = -5*t + 215. Suppose 30 = 2*b - 0*b. Calculate the remainder when t is divided by b.
13
Let a = -59 + 120. Suppose 0 = -2*b - b + 63. Calculate the remainder when a is divided by b.
19
Let u = 36 + -28. What is the remainder when 12 is divided by u?
4
Let n(d) = 9*d. Let r = 6 - -4. Calculate the remainder when n(3) is divided by r.
7
Suppose 4*z - z = 0. Suppose x + 5*q - 4*q - 1 = z, -3*x = 4*q. Let h = 19 + -13. Calculate the remainder when h is divided by x.
2
Suppose 5*q = -25, -2*x - 2*q + 76 = 2*q. Let a = -5 + 15. Calculate the remainder when x is divided by a.
8
Suppose 0 + 43 = z. Calculate the remainder when z is divided by 23.
20
Suppose 0 = 7*b - 537 + 152. Calculate the remainder when b is divided by 20.
15
Let c(g) = g**3 - 4*g**2 - 2*g - 7. What is the remainder when 37 is divided by c(5)?
5
Let o be 2 + -260 - 3/1. Calculate the remainder when (o/45)/((-1)/5) is divided by 16.
13
Let w(l) = 2*l + 7. Let v be w(-5). Let m = 3 - v. What is the remainder when 22 is divided by m?
4
Suppose 8*d - 9*d + 15 = 0. What is the remainder when 38 is divided by d?
8
Suppose 146 = -r - 5*z + 349, -2*r - 3*z = -420. What is the remainder when r is divided by 27?
24
Let q = -91 + 138. Let p(i) = 3*i - 8. What is the remainder when q is divided by p(11)?
22
Let s(h) = h**3 - 5*h**2 - h + 6. What is the remainder when s(7) is divided by 25?
22
Suppose 5*p = 5*m - 90, -2*p + 0 - 6 = 0. Calculate the remainder when 37 is divided by m.
7
Suppose 0 = 4*v + 4*n - 32, n - 32 = -4*v + 2*n. Let q(b) = b**2 - 6*b + 9. Calculate the remainder when q(v) is divided by 9.
7
Suppose -49 + 205 = 4*w. What is the remainder when w is divided by 10?
9
Suppose m + 1 - 7 = 0. Let i = m - -10. What is the remainder when i is divided by 10?
6
Suppose 0*z = 4*z - 40. Suppose -m + 12 = 5*v - z, -4*m = 4*v - 56. What is the remainder when 45 is divided by m?
9
What is the remainder when -1 - -4 - (-130)/5 is divided by 8?
5
Let d(w) = 12*w**3 + w**2 - w. Let f be d(1). What is the remainder when 326/22 - f/(-66) is divided by 8?
7
Let o(i) = i**2 - 11*i + 3. Suppose 0 = -3*p - 6 + 39. Calculate the remainder when o(p) is divided by 1.
0
Let n(b) = -6*b + 23. Calculate the remainder when n(-11) is divided by 23.
20
Suppose 0 = 2*f - 4. Suppose -155 = -f*j - 3*j. What is the remainder when j is divided by 8?
7
Let s(b) be the third derivative of b**5/15 - b**3/2 + b**2. Calculate the remainder when s(-3) is divided by 17.
16
Let u be 12/(-10)*(5 - 0). Let w = 12 + u. What is the remainder when 11 is divided by w?
5
Suppose 12*l = 11*l + 26. Calculate the remainder when l is divided by 14.
12
Let z be 58/(4/(-2)) + 0. Let u = 0 - z. Suppose 0 = 4*o + v - u, 0 = -5*o - v - 3*v + 39. What is the remainder when 20 is divided by o?
6
Suppose -5*n + 22 + 3 = 0. Let j(y) = -y**3 + 6*y**2 + 2*y - 5. Suppose b - 10 = 3*i, -44 = -4*b - 3*i + 26. Calculate the remainder when j(n) is divided by b.
14
Suppose -4*o = g - 4*g + 4, -3*g = -o - 1. Suppose g*i + 4*i - 12 = 0. Calculate the remainder when 11 is divided by i.
2
Suppose 4*p + 576 = 5*z, -3*p = -3*z - 0*p + 345. Calculate the remainder when z is divided by 9.
8
Let a(r) = 2*r**2 + 2*r - 1 + 0 + 0*r. Calculate the remainder when a(-5) is divided by 20.
19
Let f(d) = d**3 + 10*d**2 + 9*d + 5. What is the remainder when 8 is divided by f(-9)?
3
Let k(r) = -3*r**3 - r**2 + 1. Let c be k(-1). Suppose 4*w = c*f + w - 18, 20 = 5*w. Calculate the remainder when 19 is divided by f.
9
Let t(c) = -c**3 - 2*c**2 + 5*c + 9. What is the remainder when t(-7) is divided by 44?
43
Suppose v + 3*v = 40. What is the remainder when 27 is divided by v?
7
Let c = 51 - 36. Let f = 18 - -24. What is the remainder when f is divided by c?
12
Suppose 27 + 13 = -i. Let s = 16 - 3. Calculate the remainder when (-57)/2*i/30 is divided by s.
12
Let q(r) = 13*r**2 - r. Let s be q(1). Suppose 0*w = -2*w + 68. Let z = w - s. What is the remainder when z is divided by 8?
6
Let n be ((-10)/8)/((-1)/4). Suppose -9 - 18 = -n*l - 2*v, l - v - 4 = 0. What is the remainder when 24 is divided by 2/l + 172/20?
6
Let o = 6 + -4. Let j be 0 + 0 + 2 + o. Suppose 5*u - 57 = 2*x, j*u - 5*x - 13 = 19. What is the remainder when u is divided by 5?
3
Suppose -48 + 45 = -3*j. What is the remainder when 2 is divided by j?
0
Suppose c - 5*r - 9 = -0*c, 3*r = -3*c - 27. Let a(u) = -u + 2. What is the remainder when 30 is divided by a(c)?
6
Let m(w) = -4*w + 11. Suppose -5*z + 4*f = 24, -2*z - 4*f + 0*f = 32. Calculate the remainder when m(z) is divided by 22.
21
Let q(b) = -b**3 + 3*b**2 - 2. What is the remainder when 58 is divided by q(-2)?
4
Suppose 5*w = -0*w + 105. What is the remainder when w is divided by (48/9)/((-7)/(42/(-4)))?
5
Suppose 44 = 2*o - 4*l, 2*o + 4*l = o + 46. What is the remainder when o is divided by 11?
8
Suppose 0 = 5*u - 0*r - 3*r - 110, -130 = -5*u - r. Suppose 3*b - u - 2 = 0. Let m(f) = -2*f**2 + 15*f + 10. What is the remainder when m(7) is divided by b?
8
Let a = 15 + -6. What is the remainder when 26 is divided by a?
8
Suppose j + 140 = 5*j. Let c = -8 + 13. Suppose -9 = c*r - 69. What is the remainder when j is divided by r?
11
Suppose 0 = 3*r - 3, -r = -v + 6*v - 36. Let y be (-15)/(-10)*(3 - 1). Suppose -y*q - 9 = -45. Calculate the remainder when q is divided by v.
5
Let v be (-2)/(-8) + (-1)/4. Suppose v = -2*m + 5*m - 24. What is the remainder when 30 is divided by m?
6
Suppose -5*d + 2*m = -78, -2*d + m + 1 + 30 = 0. Suppose -7*a + 8*a = d. Calculate the remainder when 47 is divided by a.
15
Let a(d) = 3*d - 3. Let o(u) = -6*u - 2. What is the remainder when o(-6) is divided by a(7)?
16
Let b = 11 - 6. Suppose -9*z = -b*z - 48. What is the remainder when 34 is divided by z?
10
Suppose 3*y = 125 + 1. What is the remainder when y is divided by (-4)/((-264)/1002) - 2/11?
12
Suppose 2*n + 3*k = 53 - 9, -4*n - 4*k + 80 = 0. Suppose -12 = -2*x + n. Calculate the remainder when 39*1*2/3 is divided by x.
12
Let h = 22 - 2. Suppose 0 = 3*w - 7*w