8
Suppose 5*a = 27 - 7. Suppose 127 = a*i - r, r - 84 = -3*i - 2*r. Suppose -23 = -2*y - 1. Calculate the remainder when i is divided by y.
9
Suppose 0*s = 2*s + 4*f - 32, -4*s = f - 36. Suppose -z + 2*z = s. What is the remainder when 4/8 + 108/8 is divided by z?
6
Suppose -5*s - 52 = 2*a, -4*a - 33 = 2*s + 39. Let j = -109 - -74. Let b = a - j. Calculate the remainder when b is divided by 7.
5
Suppose 2*c = -4*y + y + 16, 4*y - 4*c - 48 = 0. Suppose r = -4*r + 105. What is the remainder when r is divided by y?
5
Let z be (-2)/(-4)*(7 + 3). Let v(a) = a**3 - 5*a**2 + a + 2. Calculate the remainder when 20 is divided by v(z).
6
Let g(s) = s**2 - 30. Let r be g(0). Let a = 16 + r. What is the remainder when (-4)/(-14) - 178/a is divided by 5?
3
Let i(x) = x**2 + 8*x - 4. Let d be i(-9). Suppose -d*j = -2*t + 13, -5*j - 40 = -10*t + 5*t. Let m = 57 + -31. What is the remainder when m is divided by t?
8
Suppose -d + 30 = 5*n + 3*d, -n = -5*d - 35. Suppose -5*b + n + 20 = 0. Calculate the remainder when b is divided by 3.
0
Let s(w) = 2*w + 42. Suppose 2*k + 4*d = -k + 276, -2*k - 5*d + 191 = 0. What is the remainder when k is divided by s(-6)?
28
Let i = 3 + 0. Suppose -4*r + i*r - d + 36 = 0, 2*r - 97 = 3*d. What is the remainder when r is divided by 14?
13
Let f(r) = -5 + 14*r**3 + 2*r + 4 + 11*r**3. What is the remainder when f(1) is divided by 7?
5
Let c = 515 + -332. Calculate the remainder when c is divided by 23.
22
Let n(b) = 3*b**2 - 19*b + 6. What is the remainder when 38 is divided by n(7)?
18
Let r = 27 + -16. Suppose r = -2*o + 3*o. Calculate the remainder when 21 is divided by o.
10
Let d(h) = h**3 + 7*h**2 + 3*h + 2. Calculate the remainder when d(-6) is divided by 11.
9
Let y = -62 - -83. Calculate the remainder when y is divided by 13.
8
Let k(j) = j**3 + 15*j**2 - 2*j + 11. Calculate the remainder when k(-15) is divided by 16.
9
Let t = 10 + 0. Suppose -i + 4*a = t, -2*a - 2 = i - 5*i. Suppose -j - i*z + 18 = 2*z, -3*z + 6 = 0. What is the remainder when 19 is divided by j?
9
Suppose -5*z + 85 = -0*z. Let f = z + 13. Calculate the remainder when f is divided by 8.
6
Let g = -32 + 47. Let d = 94 + -35. What is the remainder when d is divided by g?
14
Let w(t) = 11*t - 2. Let j = 16 + -13. Calculate the remainder when w(j) is divided by 4*11/8*2.
9
Suppose n = 3 + 8. Calculate the remainder when n is divided by 4.
3
Suppose 5*u - 26 = g + u, -2*g + 2*u - 58 = 0. Let k = 0 - -3. What is the remainder when g/(-4) + 5/10 is divided by k?
2
Let z = 3 - 1. Let v = z + 1. Suppose v*q = 88 + 5. Calculate the remainder when q is divided by 11.
9
Suppose -5*o + 25 + 35 = 0. Let n be 5/(-10) - 462/(-4). Suppose i = 6*i - n. Calculate the remainder when i is divided by o.
11
Let s be 4*(-3)/6 - -18. Let j = 33 - s. Calculate the remainder when 32 is divided by j.
15
Let v = -22 - -34. Calculate the remainder when v is divided by 2.
0
Suppose -5*z = -8*z + 48. What is the remainder when 79 is divided by z?
15
Let p(o) = -o**2 - 20*o - 10. Calculate the remainder when p(-19) is divided by 6.
3
Suppose 0 = -2*x, -2*x = 5*f + 49 - 269. Calculate the remainder when f is divided by 9.
8
Let m = -79 - -112. Calculate the remainder when 262 is divided by m.
31
Let v(f) = -f**3 - 2*f**2 + 2. Let s be v(-3). Suppose -x + 58 = s. Calculate the remainder when x is divided by 24.
23
Suppose 0 = -4*w - 6*f + 3*f + 34, -4*f + 1 = -w. Calculate the remainder when 11 is divided by w.
4
Suppose 4*l - 3*l = 32. Suppose 0 = 4*g - 0*g + l. Let k(m) = -m**2 - 10*m - 2. What is the remainder when k(g) is divided by 5?
4
Suppose 3*f + 6 = 3*p, -4*p - 6*f = -3*f - 15. What is the remainder when 15 is divided by 18/(p - (-1)/(-1))?
6
Let a = 81 + -41. What is the remainder when a is divided by 11?
7
Let g(p) = -13*p + 2. Let k(t) = -26*t + 3. Let l(w) = 7*g(w) - 3*k(w). Let o be l(5). Let x = -22 - o. What is the remainder when x is divided by 10?
8
Let p = -164 + 251. Calculate the remainder when p is divided by 11.
10
Let b = 123 - 38. What is the remainder when b is divided by 29?
27
Let w(f) = f**3 + 10*f**2 + 6*f + 11. Let h be w(-9). Let v = h + -24. What is the remainder when 40 is divided by v?
12
Let b(i) = -i**2 + 16*i + 14. What is the remainder when b(8) is divided by 27?
24
Suppose -4*b = -5*o - 162, 36 = 4*b - 4*o - 124. What is the remainder when 105 is divided by b?
29
Let b = -2 - -20. What is the remainder when 32 is divided by b?
14
Let a(f) = 22*f**2 + f - 1. Suppose 0*u + 4*u - 4 = 0. Calculate the remainder when 42 is divided by a(u).
20
Let t = 27 + -19. Calculate the remainder when 29 is divided by t.
5
Let d(o) = -o**2 - 6*o - 7. Let z be d(-4). What is the remainder when 7*z*20/14 is divided by 4?
2
Calculate the remainder when 111/2 - (-1)/2 is divided by 29.
27
Suppose -5*g = o - 27, 4*o = -2*g + 63 + 117. What is the remainder when o is divided by 25?
22
Let t(b) = 0 + b**3 - 5*b**2 + 9 - 8 - 3*b. What is the remainder when t(6) is divided by 5?
4
What is the remainder when 41 is divided by (-128)/(-9) + (-12)/54?
13
Let v(h) = 4*h**2 + 2*h - 8. What is the remainder when v(-5) is divided by 17?
14
Suppose 3*m - m + 4 = 0, -3*b + 185 = -m. What is the remainder when b is divided by 21?
19
Let b = -6 - 3. What is the remainder when 4 is divided by (b/15)/((-1)/5)?
1
Let x(m) = -m**3 - 5*m**2 - m + 4. What is the remainder when 35 is divided by x(-5)?
8
Let d = 17 - -14. Let p(i) = -9*i - 11. What is the remainder when d is divided by p(-3)?
15
Suppose -138 = r - 7*r. What is the remainder when 44 is divided by r?
21
Suppose -2*x + 7*x + 320 = 3*v, -5*v - 25 = 0. Let z = 41 - x. Let d = -74 + z. Calculate the remainder when d is divided by 12.
10
Let w(u) = -u + 14. What is the remainder when 112 is divided by w(-9)?
20
Suppose 8 - 2 = 3*c. Suppose 4*q + o - 38 = 0, -2*o = 4*q - 4*o - 44. Suppose 10 + q = 4*b. What is the remainder when b is divided by c?
1
Suppose 0 = 5*t, 19 + 7 = 2*i - 5*t. Calculate the remainder when i is divided by 7.
6
Let m(c) = 2 - 3 - 4*c - 12. Suppose 3*f - r + 30 = 0, -5*r + 58 = -4*f + 7. Calculate the remainder when m(f) is divided by 12.
11
Let s(p) = 4*p**2 - p. What is the remainder when 124/12 + 3/(-9) is divided by s(1)?
1
Suppose -3*c + 728 = -5*r, 0 = 2*r - r + 3*c + 142. What is the remainder when 4 is divided by 2/(-9) + r/(-45)?
1
Let k(l) = 2*l - 3. Calculate the remainder when 107/7 + (-2)/7 is divided by k(6).
6
Suppose 1 = -5*c + 11. Let a(q) = q**3 - 7*q**2 + 52. What is the remainder when a(5) is divided by c?
0
Let l(u) = u**3 + 10*u**2 + 8*u + 6. Calculate the remainder when l(-9) is divided by 6.
3
Let d(b) = 5*b**2 - b - 4*b**2 + 0*b - 1. Calculate the remainder when d(-5) is divided by (-96)/(-10) + (-4)/(-10).
9
Let y(u) = u + 16. Let z be y(-14). Suppose -z*p = -0*p - 10. Calculate the remainder when 7 is divided by p.
2
Suppose -534 = -8*l + 5*l. What is the remainder when (-16)/(-56) - l/(-14) is divided by 8?
5
Suppose 57 = 4*p - 47. What is the remainder when p is divided by 7?
5
Suppose -4 = 5*a - 14. Suppose -5*y = z - 7 - 2, -2*z - 12 = -5*y. Let g(o) = o. Calculate the remainder when a is divided by g(y).
0
Suppose -2*t + 38 = -2. Suppose 0*j - 2*j = -30. Let z = j + t. Calculate the remainder when z is divided by 12.
11
Let o(y) = -y**3 - 6*y**2 - 5*y + 13. Calculate the remainder when o(-6) is divided by (22/(-4))/((-1)/2).
10
Let b(t) = 7*t + 2. What is the remainder when 31 is divided by b(2)?
15
What is the remainder when 40/(-10) - (-15 + -2) is divided by 7?
6
Suppose 12*m - 100 = 2*m. Suppose -2*s - 4 = 4*o, 3*o + 27 = 2*s + 3. What is the remainder when m is divided by s?
4
Suppose -348 = 2*v - 6*v. Suppose -3*l + 3*q = -51, 2*q = l + 6*q - 42. Calculate the remainder when v is divided by l.
21
Suppose -3*t - 4*s = -2*t - 3, 6 = -t + 5*s. Suppose -2*u = u - 6. Calculate the remainder when u is divided by 3 + (0/t - 2).
0
Suppose -3 = p - u, 2*p + 0*p = 5*u - 9. Let o(f) be the second derivative of f**4/3 - f**2 + 4*f. What is the remainder when 27 is divided by o(p)?
13
Suppose 0 = 3*m + 9*d - 5*d - 185, -265 = -5*m + 2*d. Calculate the remainder when m is divided by 15.
10
Suppose p - 10 - 3 = 0. Suppose 0 = n - 6*n - 50. Calculate the remainder when (-52)/(-2) - n