6 = 0. What is the remainder when k is divided by 8?
6
Suppose -5*l - 4 = -h - 1, -3*l - 41 = -2*h. Suppose 5*r + 11 = 276. Calculate the remainder when r is divided by h.
25
Suppose 7 = -p + 4. Let y = 5 + p. What is the remainder when 3 is divided by y?
1
Calculate the remainder when 26 is divided by 46/14 - 12/42.
2
Let f(i) = i**3 + 3*i**2 + i + 3. Let b be f(-3). Suppose y + 3*y - 204 = b. Calculate the remainder when y is divided by 18.
15
What is the remainder when (0 + 1)*782/23 is divided by 20?
14
Suppose -4*o = 3*h - 105, h = 4*o - 4*h - 145. Calculate the remainder when 148 is divided by o.
28
Suppose -3*o - 4*c = -6*o + 121, -154 = -4*o - 2*c. Suppose 0 = -4*j - 11 + 91. Calculate the remainder when o is divided by j.
19
Let i(l) = 24*l - 3. Calculate the remainder when i(6) is divided by 13.
11
Suppose j - 17 = 3*d - 58, 2*j = 2*d - 26. What is the remainder when 54 is divided by d?
12
Suppose 4*l = 2*h - h - 182, 3*h = -l + 507. Suppose 6 = 4*m - m, -m + h = 3*f. Calculate the remainder when f is divided by 19.
18
Suppose -24 + 111 = 3*t. Let d = t + -15. Suppose 0 = -a + 4*i + 52, -i = 2*a + 4*i - 65. Calculate the remainder when a is divided by d.
12
Let t = 93 + -48. Suppose 5*h - 7 = 3. Suppose h*s - s = 12. What is the remainder when t is divided by s?
9
Suppose -2*q = -w - q + 6, -4*w + 5*q + 24 = 0. Let r = w + -32. Let a = -15 - r. What is the remainder when 20 is divided by a?
9
Let g = 14 - 12. Suppose -13 = -g*q + 103. Calculate the remainder when q is divided by 15.
13
Suppose 4*u = -i - i + 160, 3*i = 2*u - 64. Let f = -17 - -3. Let h = -4 - f. What is the remainder when u is divided by h?
8
Let p(c) = 3*c**2 - 3*c + 73. Let q(o) = -5*o**2 + 5*o - 109. Let t(a) = 8*p(a) + 5*q(a). What is the remainder when 153 is divided by t(0)?
36
Let d(p) = -p**2 - 12*p - 3. Calculate the remainder when d(-6) is divided by 12.
9
Suppose -2*b = -0*b - 12. What is the remainder when b is divided by 1*(-32)/(-7) - (-124)/(-217)?
2
Suppose 9 = -b + 29. Suppose -w + 11 = -0*w. Calculate the remainder when b is divided by w.
9
Suppose m - 3 = -22. Let l = -14 - m. Calculate the remainder when 14 is divided by l.
4
Let r = -25 - -50. Calculate the remainder when 93 is divided by r.
18
Let i = 185 + -123. Let d = 28 + -12. Calculate the remainder when i is divided by d.
14
Let a be (7 - 2 - -2)*1. Let g = -3 + a. What is the remainder when 10 is divided by g?
2
Let u(f) = f**3 + 33 + f**2 + f**3 - f**3. Let h = 2 + -2. What is the remainder when u(h) is divided by 17?
16
Suppose -4*z + 123 = 5*t, 0 = -0*z - z + 4*t + 36. Calculate the remainder when 95 is divided by z.
31
Suppose 1415 = 13*z + 76. Calculate the remainder when z is divided by 13.
12
Let l = 31 - 29. Suppose 0 = l*m - m - 6. Let d = 6 - 2. What is the remainder when m is divided by d?
2
Suppose -5*z + 3*z + 6 = 0. Suppose 2*s + z*s = 20. Calculate the remainder when s is divided by 3.
1
Let n(w) = w**3 + 2*w**2 - 2*w + 2. Suppose -5*i = 3*v - 3*i + 2, v = 2*i + 10. Let k = -39 - -44. Calculate the remainder when n(v) is divided by k.
4
Suppose 0 = 11*j - 10*j - 23. Calculate the remainder when j is divided by 4.
3
Suppose -3*q = -2*x - 446, 5*q - 458 = 2*q + 5*x. Suppose 3*v + 68 = 2*a, 5*a - v + 20 = 203. Calculate the remainder when q is divided by a.
35
Let i(g) = g**3 + 7*g**2 + 3*g - 6. Suppose -a + 4 = -5*a - 4*n, 20 = -5*a - 2*n. Calculate the remainder when 22 is divided by i(a).
10
Let u(o) = -5*o - 4. What is the remainder when 53 is divided by u(-3)?
9
Let g(m) = 46*m**2 - 1. What is the remainder when g(1) is divided by 24?
21
Let y = 454 + -307. What is the remainder when y is divided by 30?
27
What is the remainder when 43 is divided by -30*((-5)/2 - -2)?
13
Suppose 3*q + 5*j + 1 = 2, -37 = -3*q + 4*j. What is the remainder when 20 is divided by q?
6
Let i(j) = -14*j - 11. What is the remainder when i(-5) is divided by 12?
11
Suppose 7*z = 5*z + 44. Suppose -w + 16 = p + 2*p, -3*p - 3*w + 24 = 0. Let k(x) = 2*x**2 - 5*x - 4. What is the remainder when z is divided by k(p)?
6
Let q = 41 - 17. Let y(c) = 3*c**2 - 11*c + 5. Calculate the remainder when y(6) is divided by q.
23
Let h(y) = -4*y - 2. Calculate the remainder when 87 is divided by h(-6).
21
Suppose -5*s = -2*z, 0*z = -3*s - z + 11. Suppose -3 = x, 2*x = 3*k - s*x - 15. Let f = -2 + 3. What is the remainder when f is divided by k?
0
Suppose 2*q - 1 = -3, 5*p - 235 = 5*q. Suppose 4*c = 210 - p. What is the remainder when c is divided by 13 + (0 - 2) + 3?
13
Let j(x) = x**2 - 5*x + 7. Let q(b) = b**2 - 7*b + 7. Let p be 1/(3/12) + 3. What is the remainder when j(6) is divided by q(p)?
6
Let t = 95 + -82. Let d(f) = -f**2 + 7*f - 2. What is the remainder when t is divided by d(6)?
1
Let r(f) = -f**2 + 17*f - 13. What is the remainder when r(11) is divided by 18?
17
Suppose 80*s - 38 = 78*s. What is the remainder when 131 is divided by s?
17
What is the remainder when 44880/195 + 1*(-4)/26 is divided by 58?
56
Let k(t) = t**3 + t**2 + 3*t - 1. Let f(s) = s**3 + s**2. Let m(j) = -2*f(j) + k(j). Calculate the remainder when (-418)/(-18) - (-2)/(-9) is divided by m(-3).
7
Suppose -5*j + 9 = q, -3*j = -2*j - 3*q + 11. Let d be (1 - j)*1/(-2). Suppose -5*p + 5 = d, 0*u - 3 = u - 5*p. Calculate the remainder when u is divided by 1.
0
Suppose 2*p + 2*p = 0. Suppose p = 4*i + 5*c - 2*c - 62, -76 = -4*i + 4*c. Let g(w) = 2*w - 1. What is the remainder when i is divided by g(5)?
8
Let s = -12 + 16. Suppose -63 + 7 = -s*x - 2*y, -5*y = 4*x - 44. Calculate the remainder when 2*47*3/6 is divided by x.
15
Suppose -3*v = -7 - 5. What is the remainder when 18 - -14 - -1*v is divided by 13?
10
Let q = -11 - -12. What is the remainder when 75 is divided by q/(3 + (-308)/104)?
23
Let p(k) be the first derivative of k**4/4 + k**3/3 - 5*k**2/2 - 5*k - 1. What is the remainder when 1 is divided by p(-2)?
0
Suppose 0 = 3*u + 12, -4*u + 11 = -3*s + 36. Calculate the remainder when -2 - (-1*10 - 1) is divided by s.
0
Let q(h) = 45*h**2 + 2*h + 1. Let a(d) = -d**3 - 9*d**2 + 11*d + 14. Let o be a(-10). What is the remainder when q(-1) is divided by 133/9 - o/(-18)?
14
Let n(v) = 4*v + 2. Suppose 15*b = 16*b - 38. What is the remainder when b is divided by n(3)?
10
Let i = 12 + -22. Let z(p) be the second derivative of p**4/12 + 7*p**3/6 - 13*p**2/2 - 3*p. Calculate the remainder when 32 is divided by z(i).
15
Suppose 5*l = 3*z + 78, 5*l = -3*z + 17 + 55. What is the remainder when 28 is divided by l?
13
Let p(z) = 40*z**2 + 2*z - 2. Calculate the remainder when p(1) is divided by 14.
12
Let r(s) be the first derivative of 11*s**2/2 + s + 4. What is the remainder when r(2) is divided by 9?
5
Let a(f) = -3*f**2 + 17. Suppose -3*w + 3*t = -108, 3*w - 132 = -w + t. Calculate the remainder when w is divided by a(0).
15
Let h(f) = 2*f - f - 19*f**2 + f + 3 - 2. Let b be h(-1). Calculate the remainder when (-66)/(-2)*b/(-15) is divided by 23.
21
Suppose 3*k - 33 = 3*j, 2*k - 51 = -3*j - 19. What is the remainder when (3 - (3 + 0)) + 49 is divided by k?
10
Suppose 3*f - 4*k - 138 = -10, 2*f = 2*k + 86. What is the remainder when 128 is divided by f?
40
Let t(x) = -x**3 - 15*x**2 - 17*x - 14. Calculate the remainder when 51 is divided by t(-14).
23
Let f(y) = 5*y - 16. Let c be f(15). Suppose -38 = -n - z, c = 2*n - 4*z + 7. What is the remainder when 101 is divided by n?
33
Let o(d) = -24*d - 2. Let x be o(-2). Suppose x = 2*m - 20. Calculate the remainder when m is divided by 189/11 + 4/(-22).
16
Let z = 3 + -25. Let q = z + 74. Let o = -30 + q. Calculate the remainder when 42 is divided by o.
20
Suppose -99 = -3*v - h, 7*h = 2*h. Suppose -6*g + 3*g = -v. Calculate the remainder when 32 is divided by g.
10
Let d(u) = u**2 + 10*u + 16. Let x be d(-8). Suppose x*t + 2*t = -c + 59, -2*t - 4*c + 44 = 0. What is the remainder when t is divided by 17?
15
Let y = -12 - -26. What is the remainder when 53 is divided by y?
11
Suppose 0 = 2*u - u - z + 6, -3*u - 2 = 5*z. Let q(k) = -5*k - 4 + 3 - 5. Calculate the remainder when q(u) is divided by 5.
4
Suppose 3*r - 309 = -6. What is the remainder when r is divided by 21?
17
Calculate the remainder when (-2)/(-8)*-1 + 735/140 is divided by 2.
1
Let g(h) = -h**3 + 7*h**2 - 6*h - 7. Let o be (4/(