
Suppose 23*f = 20*f + 27. What is the remainder when 31 is divided by f?
4
Let l = -3 - -1. Let o(f) = 8 - 6 + 0*f**2 + 2*f**2 + f. Calculate the remainder when o(l) is divided by 5.
3
Suppose -3*h = -2*q - 187, -2*q + 133 - 5 = 2*h. Calculate the remainder when h is divided by 33.
30
Suppose 5*h + 4*p - 34 = 0, 0 = 5*p - p + 16. Suppose -3*u + 39 = 4*n - n, 0 = -3*u - 4*n + 35. What is the remainder when u is divided by h?
7
Let p = 25 - -2. Calculate the remainder when p is divided by ((-60)/9)/(-1)*3/2.
7
Suppose 27 = 2*u - 5. Let g be 4/8 - (-289)/2. Suppose -3*j = i - 35, 2*i - g = -i + j. Calculate the remainder when i is divided by u.
15
Suppose -20 = -4*m + 28. Suppose 0 = -4*u + 8*u - 140. Calculate the remainder when u is divided by m.
11
Let j(y) = 2*y**2 - y. Let f = 16 + -9. Calculate the remainder when f is divided by j(-1).
1
Let s(v) = -v**3 - 6*v**2 - 4*v + 4. Let q be s(-5). Let a be q/(-3) + (-155)/15. Let b = a + 23. What is the remainder when b is divided by 5?
3
Let l(a) = 2*a**3 + 2*a**2 - 2*a - 4. Let k be l(3). Let m(q) = 15*q**2 - 3*q - 2. Calculate the remainder when (2 + 3/(-2))*k is divided by m(-1).
15
Let f = 122 + -92. Calculate the remainder when f is divided by 11.
8
Suppose -3*z + 481 = -4*f, 4*z - 632 = f - 5*f. Calculate the remainder when z is divided by 23.
21
Let n(u) = -u**3 - 1 + 0*u + 2 - 4*u**2 + 8*u**2 - u. Calculate the remainder when n(2) is divided by 4.
3
Let c(b) = -9*b**3 + b**2 - 1. Let y be c(-1). Let h(g) = g**2 - 9*g + 11. Let s be h(8). What is the remainder when (0 - s)*(-1 - y) is divided by 16?
14
Let x be (-4)/14 + (-90)/(-21). Suppose 29 = x*k - 103. Calculate the remainder when k is divided by 18.
15
Suppose 43 - 7 = 4*p. Suppose 2*t - 12 - 38 = 0. What is the remainder when t is divided by p?
7
Let q = -6 - -9. Suppose 0 = 3*b + 3*v + q, 6 = 3*v - 3. Let n(h) = h**2 - 5*h - 1. Calculate the remainder when n(b) is divided by 9.
8
Let q = -23 + 57. Suppose -3*f = -4*f - 2*j + 14, 0 = f - 3*j - q. Let m = 38 - f. Calculate the remainder when m is divided by 9.
7
Let v(l) = l**2 + 8*l - 1. Let a = -6 + 3. Let x(g) = g**2 + 8*g - 1. Let z(o) = a*v(o) + 2*x(o). What is the remainder when z(-4) is divided by 6?
5
Let s(i) = i**2 + 5*i - 4. Suppose 3*t = -t + 4. Calculate the remainder when s(-6) is divided by (-2 + t)*(2 - 3).
0
Suppose -2*j + d = -63, 4*j + 4*d - 155 = -59. What is the remainder when 111 is divided by j?
24
Let v = 102 + -20. Let m = v - 54. Suppose -127 - m = -5*k. Calculate the remainder when k is divided by 16.
15
Let k = 17 - 11. Calculate the remainder when 21 is divided by k.
3
Suppose -p - 2*z + 14 = 0, 14 = -3*p + 5*z + 1. Suppose 2*o - p*o + 60 = 0. What is the remainder when o is divided by ((-14)/(-3) - 2)*6?
14
Suppose -12 = t - 2*t. What is the remainder when 14 is divided by t?
2
Let s(r) = -2*r + 27. What is the remainder when 1 - (2*-20 + -1) is divided by s(8)?
9
What is the remainder when (-116)/(-4)*(-3 - -6) is divided by 18?
15
Let s = -28 - -59. Calculate the remainder when 122 is divided by s.
29
Let s(t) = t**3 - 5*t**2 + 4. Suppose 0 = -0*g - 5*g + 25. What is the remainder when s(g) is divided by 2?
0
Suppose 0*h = 5*n + 2*h - 124, 0 = 2*n + 2*h - 46. Let k(p) = p**2 - 6*p - 8. Let z be k(7). What is the remainder when n is divided by (-1)/z*(7 + 2)?
8
Suppose 143 = k - 5*t + 3*t, -5*k = -5*t - 695. Suppose -5*c = -k - 65. What is the remainder when c is divided by (-1 - 0) + (12 - -3)?
12
Let r = 52 - 23. Calculate the remainder when r is divided by (-30)/2*(-4)/6.
9
Let k = -35 - -61. Calculate the remainder when 99 is divided by k.
21
Let o(a) = a**3 - 5*a**2 + 9*a - 9. Calculate the remainder when 106 is divided by o(5).
34
Suppose 0 = -n - 2*s + 84, -5*s + 4*s + 3 = 0. What is the remainder when n is divided by ((-48)/(-64))/(1/36)?
24
Let y(r) = 8*r + 1. Suppose 0 = 3*j + 17 - 2. Let m = j - -8. Calculate the remainder when y(m) is divided by 9.
7
Let i be 12*(3 + 28/(-12)). Suppose -3*v + v = i, 66 = 5*p + v. Let q = 76 - 37. What is the remainder when q is divided by p?
11
Suppose 20 = 4*b - 2*b + 4*r, r = b - 13. Let x = 5 + 28. What is the remainder when x is divided by b?
9
Suppose -2*a - 28 = -3*r + 3*a, 3*a + 52 = 4*r. What is the remainder when 43 is divided by r?
11
Let s = 25 - 70. Let y = 85 + s. Calculate the remainder when y is divided by 21.
19
Suppose 3*m + 2*o = 100, 0 = -3*m - 4*o + 66 + 32. What is the remainder when 65 is divided by m?
31
Suppose 2*g - 5*n - 14 = -3*n, 3*g - 29 = -n. Calculate the remainder when 14 is divided by g.
5
Let m = 53 - -38. Suppose 5*b - 5*g - 240 = 0, -4*g - m = -5*b + 146. Calculate the remainder when b is divided by 24.
21
Suppose -3*s + 5*s - 38 = 0. Suppose -269 = -8*o + 27. What is the remainder when o is divided by s?
18
Let w(f) = -f**2 + 15*f + 2. Let q = 0 - -20. Calculate the remainder when w(3) is divided by q.
18
Let l be 107/6 - 2/(-12). Suppose 2*c + 2 - l = 0. Calculate the remainder when c is divided by 3.
2
Let j = 25 + 37. Suppose -5*h = -5*d + 175, 0 = h + d + 44 - 7. Let v = h + j. What is the remainder when v is divided by 14?
12
Let o = -51 + 86. What is the remainder when o is divided by 19?
16
Suppose 4*o - o + 228 = 0. Let j = -27 - o. Calculate the remainder when j is divided by 15 + 3 + 1/(-1).
15
Suppose -3*x - 6 = -5*c - 68, 0 = 5*x - 4*c - 112. Let o = x + -8. Calculate the remainder when 61 is divided by o.
13
What is the remainder when 123 is divided by 140/8 + 3/6?
15
Suppose 16*s = 12*s + 12. Calculate the remainder when (-285 + -3)/(-3) - s is divided by 32.
29
What is the remainder when 52 is divided by (212/(-4) - 4)*(-3)/9?
14
Let h be (-16)/6*(-534)/(-4). Calculate the remainder when (-10)/55 + h/(-22) is divided by 9.
7
Suppose 2*b = -3 - 5. Let w = 0 - b. Let q(c) = c**3 - 3*c**2 - 2*c - 2. Calculate the remainder when 11 is divided by q(w).
5
Let a = 6 + -2. Calculate the remainder when 51*(a/(-3) + 2) is divided by 18.
16
Suppose -3*v - 20 = -7*v. Suppose y - 1 = -l + 6, v*l = -3*y + 13. What is the remainder when 20 is divided by y?
9
Suppose -2*h = 5*v - 49, -5*v + 28 - 1 = h. What is the remainder when 107 is divided by h?
19
Suppose -4*p + 2*u = -548, 0 = -u - 2*u. What is the remainder when p is divided by 14?
11
Let p(r) = -6*r + 15. Let q be p(-11). Let a = q + -48. What is the remainder when a is divided by 12?
9
Calculate the remainder when 5 is divided by 1/(-2 + (-10)/(-4)).
1
Suppose 11 = n - 15. What is the remainder when n is divided by 7?
5
Let w(k) = -k**2 - 5*k + 3. Let j be w(-4). Let u = j + -4. Suppose 3*i + u*v - 15 = 0, 16 = 2*i + v - 2*v. Calculate the remainder when 19 is divided by i.
5
Let k(u) = -2*u. Let j be k(-6). What is the remainder when 48 is divided by (-3)/(-4) + 111/j?
8
Let j be (-3)/(9/3) - -27. Suppose -3*l - 5*w = -2 - 0, -5*w - j = -4*l. Let s = 8 - l. What is the remainder when 11 is divided by s?
3
Suppose -7 = v + 5*j - 0, v - 2*j - 7 = 0. Suppose -v*r + 27 = -a, -5*r = -r - a - 35. Calculate the remainder when 14 is divided by r.
6
Let z = 11 - 13. What is the remainder when 45 is divided by (-46)/(-4) - 1/z?
9
Let y(z) = 2*z**2 + 6*z - 5. What is the remainder when y(5) is divided by 19?
18
Let s = -7 + 14. What is the remainder when (0 - 1)/((-1)/13) is divided by s?
6
Suppose 126 = n + 8*n. Let y = 70 + -43. What is the remainder when y is divided by n?
13
Suppose u = 3*u - 170. Calculate the remainder when u is divided by 22.
19
Let i(a) = -a + 2. Suppose 0 = 3*v - 4*x - 8, -3*v - 3*x = 2*x + 10. What is the remainder when i(v) is divided by 1?
0
Suppose 2*u + g - 6 = 21, -5*g + 15 = 0. Let a = 27 - 42. Let b = -8 - a. What is the remainder when u is divided by b?
5
Let g = 31 - -4. Calculate the remainder when g is divided by 19.
16
Let b(v) = v**2 - 7*v + 8. Let n be b(6). Suppose -78 = -4*i - n*o, -o + 32 = i + 2*o. Calculate the remainder when i is divided by 6.
5
Suppose -9*y = -224 - 55. What is the remainder when y is divided by 16?
15
Let m(q) = -q**2 + 9*q + 29. What is the remainder when 90 is divided by m(10)?
14
Let h(w) = w**2 - w. Let t be h(2). Suppose t*x - 2 - 8 = 0. Suppose -10 = -b - 4*b. Calculate the remainder when x is divided by b.
1
Let p = -133 + 146. Calculate the remai