 f is divided by 20.
18
Let f(d) = d**3 + 11*d**2 - 14*d + 13. Calculate the remainder when 109 is divided by f(-12).
35
Let c(f) = -f**2 - 8*f + 13. Let q be c(-9). Suppose -q*v + 8 = -8. What is the remainder when 11 is divided by v?
3
Let g be (2/5)/(2/10). Suppose -g*t + 175 = -5*f - t, -5*t = -f - 59. Let s = -5 - f. Calculate the remainder when s is divided by 10.
9
Suppose 2*x + 3 = 11. Calculate the remainder when 19 is divided by x.
3
Let m(c) = c + 21. Calculate the remainder when m(-6) is divided by 9.
6
Let r = -8 + 8. Let k(m) = -m + 0*m**3 - m**3 + 2 + 0*m**2 + m**2. Calculate the remainder when 2 is divided by k(r).
0
Let q be 408/(-32) - (-1)/(-4). Let u = 18 + q. Suppose -d - c + u = 0, 11 + 8 = 5*d - c. Calculate the remainder when d is divided by 2.
0
Let l(t) = -t**2 - 7*t + 3. Suppose 0 = -2*c - 2*c - 24. Calculate the remainder when 17 is divided by l(c).
8
Let m(c) = 169*c**2 + c + 1. Calculate the remainder when m(-1) is divided by 34.
33
Suppose -4*i + 2*c + 68 = -3*c, 2*c + 56 = 4*i. Suppose -2*k - 170 = -4*k. Let r = 119 - k. What is the remainder when r is divided by i?
10
Let x be 14/6 + 10/15. Suppose 0*n = x*n - 3. What is the remainder when n is divided by 1?
0
Suppose -5*l = 239 + 16. Let p = l + 87. Calculate the remainder when p is divided by 13.
10
Let u = -36 - -45. What is the remainder when 26 is divided by u?
8
Let u(s) = -3*s + 3. Let b be u(-3). Let k be 15*(b/(-9) - -1). Let d = k + 16. What is the remainder when d is divided by 6?
5
Let p(v) = -v**3 + 16*v**2 - 14*v + 16. What is the remainder when p(15) is divided by 8?
7
Let u = -4 + 20. What is the remainder when 47 is divided by u?
15
Let u(w) = w**3 + 11*w**2 + 11*w + 13. Let n be u(-10). Suppose 65 + n = 4*h. What is the remainder when 32 is divided by h?
15
Suppose -12*y + 54 = -9*y. What is the remainder when 52 is divided by y?
16
Let n = -3 - -7. Let u = n - 2. Calculate the remainder when 4 is divided by u.
0
Suppose -24 = -2*r - r + u, 0 = -3*u. Calculate the remainder when r is divided by 16/7 + 6/(-21).
0
Suppose 3*v - 4 = v - q, -3*v = q - 7. Suppose 2*u + 5*f + 33 = 5*u, 3*f = -u - v. What is the remainder when 10 is divided by u?
4
Let n(d) = 3*d**2 - 5*d - 20. Calculate the remainder when 82 is divided by n(-3).
16
Let u = 10 - 3. Suppose 8 = z - u. Calculate the remainder when 44 is divided by z.
14
Let y = -36 - -64. What is the remainder when 54 is divided by y?
26
Let n = -19 + 43. Let a(z) = 9*z**2 + 3*z - 3. Calculate the remainder when a(-3) is divided by n.
21
Let v = -46 - -71. Let p(g) = g**3 + 4*g**2 - 4*g + 5. Let x be p(-5). Suppose x*j = 3*j - 27. Calculate the remainder when v is divided by j.
7
Suppose -1 = n - 7. Calculate the remainder when 15 is divided by n.
3
Let q(u) = -u**3 + u**2 - u + 30. Let r be q(0). Let w = r + -10. What is the remainder when w is divided by (-2)/8*-22*2?
9
Let i = -12 - -39. Calculate the remainder when 132 is divided by i.
24
Suppose 117 = 5*j + 2*a, -2*j - 5*a + 5 = -j. What is the remainder when j is divided by -7*((-10 - 2)/(-3) + -5)?
4
Suppose -4*h - 6*d = -d, 5*h - 5 = -5*d. Suppose -5*a + 15 + 10 = 0, -80 = -h*i + 2*a. Calculate the remainder when i is divided by 10.
8
Suppose 2*j - 3*j = -1. Suppose n + 3 = 4*n. Calculate the remainder when n is divided by j.
0
Suppose -2*p = -6*p + 120. Calculate the remainder when p is divided by 11.
8
Let s = 9 + 2. Suppose 3*z - 8 = -z. Suppose -r - 57 = -4*l + z*l, -5*r - 130 = -5*l. What is the remainder when l is divided by s?
9
Suppose 4*q + 56 = -2*d, -8 - 35 = d + 5*q. Let x = 35 + d. Suppose -3*u + 99 = -4*s, -2*s = -5*u + 133 + 32. What is the remainder when u is divided by x?
16
Let t = 13 - 5. Suppose 0*g + 4*g = 116. Calculate the remainder when g is divided by t.
5
Suppose 3*g + 6 = -g - 2*b, 19 = -g - 4*b. Calculate the remainder when 2 - (0 - (g - 0)) is divided by 2.
1
Let a(j) = -j**2 + 4*j. Let g be 3/(-2)*8/(-6). Suppose g*n = 2*t - 2*n - 26, 0 = t - n - 12. What is the remainder when t is divided by a(3)?
2
Suppose 5*g + 14 = 94. Calculate the remainder when 190 is divided by g.
14
Let v = 10 - -44. Suppose b + 13 - 1 = i, -5*i = -3*b - v. What is the remainder when 33 is divided by i?
6
Let m = 21 + -19. What is the remainder when 4 is divided by m?
0
Suppose 0*c = -5*c + 25. Let x = -25 + 38. What is the remainder when x is divided by c?
3
Suppose -3*x - 12 - 12 = -5*s, -4*s = -x - 15. What is the remainder when 5 is divided by s?
2
Let k(n) = -n**3 + 2*n**2 + 31. Calculate the remainder when k(0) is divided by 11.
9
Let u(w) = -w**2 + 5*w + 1. Let h be u(4). Suppose 20 + 1 = 3*l - h*s, 2*s = 0. Let g = 26 - 21. Calculate the remainder when l is divided by g.
2
Let w(c) = c**2 - 19*c + 1. Suppose -4*q = -4*o - 2*q + 322, -254 = -3*o - q. What is the remainder when o is divided by w(20)?
20
Let s = 1 - 0. Suppose -3*k + 4*u = 13, -3 = 5*k - 0*u - 2*u. Calculate the remainder when k is divided by s.
0
Suppose -6*n = -2*n - 5*x - 5, -4*x = -3*n + 5. Let q(g) = -g. What is the remainder when q(n) is divided by 3?
2
Suppose 5*p = -28 + 33. Calculate the remainder when p is divided by 1.
0
Suppose 6*o - 49 = 47. Calculate the remainder when 61 is divided by o.
13
Suppose -3*u + 472 = -2*j, -4*j + 199 = 4*u - 397. Calculate the remainder when u is divided by 39.
37
Let m(l) = -l + 36. Let a = 3 + -2. What is the remainder when a/3 - (-122)/3 is divided by m(22)?
13
Suppose 3*k - 11*z + 7*z - 46 = 0, 5*k - 62 = 3*z. What is the remainder when 169 is divided by k?
9
Suppose 5*i + 5 = 20. Let c = 11 - i. Suppose -b + 14 + c = 3*j, 19 = 3*j - 2*b. What is the remainder when 20 is divided by j?
6
Suppose 0*k = -4*k + 2*p - 14, 5*k + 3*p - 10 = 0. What is the remainder when k/((-1)/((-52)/(-2))) is divided by 9?
8
Suppose 24 = -5*i - 11. Let d = 21 - 12. Calculate the remainder when d is divided by -3 - -2 - 1*i.
3
Let t(w) = -2*w**2 + 2*w + 2. Let s be t(2). Let f(n) = -11*n + 0*n + 1 + 4*n. What is the remainder when 29 is divided by f(s)?
14
What is the remainder when 3/(-21) - (-1914)/21 is divided by 19?
15
Suppose 5*c - 6 - 9 = 0. Suppose -o - 4*o + 75 = d, -c*d + 214 = 4*o. Calculate the remainder when d is divided by 24.
22
Suppose 0 = -4*l - 5*z + 124, -2*z - 82 = -3*l - 3*z. What is the remainder when 99 is divided by l?
21
Let d = 19 - 9. Calculate the remainder when d is divided by 3.
1
Let l = 246 - 129. Suppose 0 = -5*n + 33 + l. What is the remainder when 34 is divided by ((-8)/20)/((-1)/n)?
10
Let n(o) = 4*o + 4. Calculate the remainder when 57 is divided by n(4).
17
Let l = -5 - 0. Let y be (-2)/10 + (-31)/l. Suppose 4*o - 2 - y = 0. What is the remainder when 5 is divided by o?
1
Suppose -105 = -q - 3*l, 4*l + 169 = 3*q - 107. Let s = q - 49. What is the remainder when s is divided by 16?
15
What is the remainder when (3/2)/((-15)/(-740)) is divided by 19?
17
Let z = 30 + -9. Suppose 2*n - z = -1. Let i = 37 - 8. Calculate the remainder when i is divided by n.
9
Let o be 0 - -6 - (-4)/(-2). Suppose -5*u + 238 = 38. Suppose -u = -o*g - 0*g. Calculate the remainder when g is divided by 4.
2
Suppose 3 + 0 = 3*x. Let z be 2/(46/(-48) + x). Suppose -t - 2*t + z = 0. What is the remainder when 46 is divided by t?
14
Let f(j) be the third derivative of j**5/60 - j**4/24 + j**3/2 + 4*j**2. What is the remainder when 57 is divided by f(4)?
12
Let t = 3 + -3. Let s(v) = v**3 - v + 42. Let y be s(t). Suppose -2*i + 3*m + y = 0, -2*m - 84 = -4*i + 3*m. What is the remainder when 40 is divided by i?
19
Let d = -7 + 9. Let h(l) = l**2 - 1. What is the remainder when 5 is divided by h(d)?
2
Calculate the remainder when 17 is divided by (-20)/12 + 2 - (-56)/12.
2
Let f(c) = c**3 + 5*c**2 - 6*c - 5. Let i be f(-7). Let y = -33 - i. Calculate the remainder when y is divided by -2*((-51)/6 - -1).
13
Suppose 385 = 15*l + 115. Calculate the remainder when l is divided by 6.
0
Let d(c) = 10*c**2 - 5*c + 5. Let z be d(4). Suppose -2*a + 92 = 3*i, 5*i + 8*a - 3*a = z. What is the remainder when i is divided by 12?
10
Calculate the remainder when 57 is divided by (-2)/14 - 636/(-42).
12
Let o(g) = -5*g**2 - g - 4. Let n be o(3). Let s = n + 90. What is the remainder when s is divided by 20?
18
Let q(m) = -m**3 - 2*m**2 - m + 1. Let t 