 What is the remainder when 112 is divided by c?
25
Suppose -3 = 3*d - 5*f + 7, -3*d - 4*f + 35 = 0. What is the remainder when (3/9)/(d/645) is divided by 23?
20
Let c = -3 - -6. Let r = c - -6. Calculate the remainder when 33 is divided by r.
6
Let u(c) = -c**2 + 5*c - 6. Let a be u(5). Let z = 52 + a. What is the remainder when z is divided by 16?
14
Let r = -4 + 7. Calculate the remainder when 2/(-4) + 188/8 is divided by 4/(r/(-2) - -2).
7
Let g be 1 + (-3 + 4)*-2. Let l = g + 6. Suppose 3*n - 48 = -4*x, -2*x - 11 = -n - l*x. What is the remainder when n is divided by 7?
6
Suppose 0*p = 4*p - 88. Let y = -17 - -29. What is the remainder when p is divided by y?
10
Let q(x) = -4*x + 7. Let d be q(7). Let j = d - -37. What is the remainder when j is divided by ((-4)/(-6))/((-12)/(-162))?
7
Suppose -3*o + 144 = 3*g, 2*g + g - 134 = -o. Suppose 3*p - 19 = -4. Suppose p*f - 4*n - 36 = 74, f = -3*n + 22. What is the remainder when g is divided by f?
21
Calculate the remainder when 86 is divided by ((-2)/6)/((-2)/54) + 2.
9
Let b be 3 - (-56 + -1 + 2). Let d = b - 31. What is the remainder when d is divided by 7?
6
Let a = -9 + 15. Suppose t + 67 = 3*g + a*t, 3*g + t = 47. What is the remainder when 27 is divided by g?
13
Suppose -13*j + 16*j - 84 = 0. What is the remainder when 81 is divided by j?
25
Let w(u) = u**3 - 7*u**2 + 9*u + 10. Calculate the remainder when w(7) is divided by 19.
16
Suppose -4*l = 4*d - 6*d + 58, -4*d + 156 = 2*l. Let g(p) = p**2 + 2*p - 2. What is the remainder when d is divided by g(3)?
11
Let z = 58 + -44. What is the remainder when z is divided by 7?
0
Suppose 5*l + 63 = -5*p + 153, 0 = p - l - 18. Calculate the remainder when p is divided by 7.
4
Let l be (-32)/(0 + -2) - 1. Suppose l = 2*h - 11. Let q(m) = 4*m + 49. Calculate the remainder when h is divided by q(-11).
3
Let x = 0 - -2. What is the remainder when x*1 + 21 + -6 is divided by 6?
5
Let t be 4*(-1 - -3)*-1. Let n = 4 + t. What is the remainder when 1 is divided by n/(-8) + (-1)/(-2)?
0
Let j(s) be the third derivative of -s**6/40 - s**5/60 + s**4/12 - s**3/6 - 4*s**2. What is the remainder when 27*(-2 + 2 - -1) is divided by j(-2)?
12
Suppose g = 3*z - 274, 0*z = 2*z + 3*g - 168. What is the remainder when z is divided by 13?
12
Let f = 2 + 34. Calculate the remainder when 106 is divided by f.
34
Let f = 289 - 197. What is the remainder when f is divided by 19?
16
Let r(y) = 5*y**2 - 6*y + 9. Let t be r(4). Let v = t - 31. What is the remainder when v is divided by 7?
6
Let y(p) = -p**3 - 7*p**2 + 8*p + 9. Calculate the remainder when 17 is divided by y(-8).
8
Suppose n - 2*n + 28 = 0. What is the remainder when 83 is divided by n?
27
Let t(d) = d**2 + 36*d + 106. Suppose 0 = v - 5*r - 25, v = 2*v - 4*r - 24. What is the remainder when v is divided by t(-33)?
6
Suppose 3*g + 2 = -7, t = -5*g + 1. What is the remainder when 45 is divided by t?
13
Suppose 2*k = 18 + 6. Let d(g) = g**3 + 7*g**2 + 6*g + 2. Let n be d(-6). Suppose -n*x = -16 + 6. What is the remainder when k is divided by x?
2
Let z(k) = -k**2 + 5*k + 5. What is the remainder when 6 is divided by z(5)?
1
Let z = -28 + 37. Calculate the remainder when 24 is divided by z.
6
What is the remainder when (1600/(-250))/((-2)/10) is divided by 9?
5
Suppose 3 = -u + 5. Let d(t) = 3*t**2 - t - 1. Calculate the remainder when d(u) is divided by 4.
1
Calculate the remainder when -1 - -97 - (-8)/(2/(-1)) is divided by 20.
12
What is the remainder when 20/(-5) + 4 + 21 is divided by 4?
1
Let t(f) = f**2 - 16*f + 44. Calculate the remainder when t(15) is divided by 10.
9
Let u = -4 + 16. Calculate the remainder when u is divided by 5.
2
Suppose 7 = 2*w - 23. Let v(r) = -r + 8. Let s be v(6). Suppose 8 = 3*h - s*h. What is the remainder when w is divided by h?
7
Let q = 83 - -32. Suppose -3*x + 0*x + 83 = -4*c, -5*x - 5*c = -q. What is the remainder when x is divided by 14?
11
Suppose -s + 112 = 3*s. Calculate the remainder when s is divided by 10.
8
Suppose 5*n = 32 + 318. Calculate the remainder when n is divided by (4/3)/(4/72).
22
Let c(q) = -q**2 + 11*q + 10. What is the remainder when 55 is divided by c(9)?
27
Let t be (-108)/(-8) - (-3)/6. Let s = 27 - t. Calculate the remainder when 50 is divided by s.
11
Suppose -3*t - 2 = -4*t. Calculate the remainder when 40*(3/t + -1) is divided by 7.
6
Let n(c) be the third derivative of c**5/30 + c**4/8 + c**3/2 - c**2. What is the remainder when 47 is divided by n(-3)?
11
Suppose 0*y - 101 = -3*y + 5*k, 2*y + 2*k = 46. Let q = y + -6. Let r = -8 + 19. What is the remainder when q is divided by r?
10
Let l(c) = -c**2 - 3*c - 15. Let h(i) = 3*i**2 + 8*i + 44. Let s(u) = 3*h(u) + 8*l(u). Suppose 4*g + g = 0. Calculate the remainder when 23 is divided by s(g).
11
Let d(p) = p**2 - 5. Let z = 1 + -1. Let r be d(z). Let f = r - -9. Calculate the remainder when 10 is divided by f.
2
Let n(o) = 3 + 0*o - 16 - o - o. What is the remainder when 19 is divided by n(-9)?
4
Let o = -1 + 19. Suppose -4*u = -u - 30. What is the remainder when o is divided by u?
8
Let f(n) = n. Suppose 0 = -i - 2*g + 15, -i = -0*i + 4*g - 23. Calculate the remainder when f(i) is divided by 4.
3
Suppose 0 = 3*p + 5*f - 1330, 5*p - f = 2*f + 2194. Let v be p/(-28) - (-4)/(-14). Let o = v - -29. Calculate the remainder when 38 is divided by o.
12
Let y(l) = -7*l + 8. Let f be (50/(-4))/(3/(-6)). Calculate the remainder when y(-8) is divided by -4 + f + (0 - -1).
20
Suppose 6 = 4*z + 2. Let t be z/(2 + -3)*3. Let a = t - -13. What is the remainder when 18 is divided by a?
8
Let q(s) = 31*s**3 - 1. Let v(u) be the first derivative of -u**3/3 + u**2/2 + 16*u - 2. Calculate the remainder when q(1) is divided by v(0).
14
Suppose -3*q - 42 = -5*q. Suppose 14 = 3*n - 4. Suppose -c + n = -5. Calculate the remainder when q is divided by c.
10
Suppose -3*p = -0*p - 108. What is the remainder when 22 is divided by ((-12)/9)/((-4)/p)?
10
Let z(v) = v + 7. Let k be (10/4 + 0)*-2. Let q be z(k). Suppose l + 2*l - 24 = -n, n + q*l - 20 = 0. What is the remainder when 23 is divided by n?
11
Suppose 6 = 2*v + 3*s, 2*v - 3*s - 6 = -s. Suppose v*x - 5 = 4. Calculate the remainder when x is divided by 3.
0
Suppose -3*u = -11*u + 72. What is the remainder when u is divided by 4?
1
What is the remainder when 66 is divided by (-105)/(-6) - 2/4?
15
Let o be 10*((-1)/(-2) + 0). Let u be (-2)/2*(0 + 0). Let g = u + o. Calculate the remainder when 19 is divided by g.
4
Let p be (16/(-10))/((-10)/25). Suppose 64 + 16 = p*t. Calculate the remainder when t is divided by 7.
6
Let t(o) = o**3 - 5*o**2 + 13. Calculate the remainder when t(5) is divided by 3.
1
Suppose a - 2*d - 8 = -0*d, a + 5*d = -13. Let n be -1 - (2 + 0) - a. Calculate the remainder when 3/15 - 184/n is divided by 13.
11
Let a = -75 + 82. What is the remainder when 32 is divided by a?
4
Let h(b) = -5*b**3 - b**2 - 2*b - 1. Suppose -8 = 3*j - 7*j. Let z = j + -3. What is the remainder when 8 is divided by h(z)?
3
Let r(y) = y + 16. Calculate the remainder when 31 is divided by r(0).
15
Let j = 19 + -16. Calculate the remainder when 4 is divided by j.
1
Suppose 0 = -11*f + 9*f + 110. Calculate the remainder when f is divided by 29.
26
Suppose -5*z + 3*y = -6*z + 13, 0 = 4*z - 3*y - 67. Suppose 5*l - 24 = -2*h, -4*l = h - 19 - 2. What is the remainder when z is divided by l?
4
Let i be (-2)/(-4) - 28/(-8). Suppose i*c - 39 = c. Calculate the remainder when c is divided by (-5)/4*8/(-2).
3
Let b be 5 + 2 + -1 + -1. Let v = b + -13. What is the remainder when v/(-10)*(-190)/(-4) is divided by 13?
12
Suppose -9 = -2*z + 19. Suppose -z - 3 = -n. What is the remainder when 31 is divided by n?
14
Let z = 27 - 15. What is the remainder when 35 is divided by z?
11
Suppose -4*i + 3*i + 7 = -2*d, -i - 5*d = 0. Suppose -7 - i = -4*u. Calculate the remainder when 4 is divided by u.
1
Let o(k) = -k**3 - 8*k**2 + k + 10. Let b(u) = -8*u**3 - u**2 + u. Let m be b(1). Suppose 4*g - 23 = -3. Calculate the remainder when g is divided by o(m).
1
Suppose 0 = q - 0 - 27. Calculate the remainder when (-3336)/(-42) - 6/14 is divided by q.
25
Let m(n) = -3*n**3 + 4*n**2 - 2*n - 2. Let r be m(2). Let v = 30 + r. Let a = 1 + 5. Calculate the remainder when v is divided by a.
4
Let 