10
Suppose 0 = 3*o + 4*c + 47 + 32, 0 = -o + 2*c - 43. Let t = o - -63. What is the remainder when t is divided by 8?
6
Let j be (-1)/(-3 + (-12)/(-3)). Let k = j - -8. Let x(o) = -9*o - 2. What is the remainder when x(-3) is divided by k?
4
Suppose 33 = -5*k - 52. Suppose y - 60 = l, y - 4*y - 5*l = -172. Let n = y + k. Calculate the remainder when n is divided by 22.
20
Suppose v - 23 = 17. Calculate the remainder when 157 is divided by v.
37
Suppose 4*x - 2 = y - 41, 3*y - x - 84 = 0. Let z = 3 + 7. Calculate the remainder when y is divided by z.
7
Suppose a = -2*h + 17, 4*a = -h - 3*h + 52. What is the remainder when 44 is divided by a?
8
Calculate the remainder when (-16)/(-12)*207/12 is divided by 10.
3
Let t = 11 - -43. What is the remainder when t is divided by 8?
6
Let d(q) = q - 2. Let o be d(1). Let w = 1 - o. Calculate the remainder when 2 is divided by w.
0
Let d(a) = -a**3 - a**3 - 2*a**2 + 0 + 1. Let t be d(-1). Suppose -9 - t = -2*w. What is the remainder when 9 is divided by w?
4
Suppose -2*j + 5*j - 44 = -2*q, 2*j - 40 = -2*q. What is the remainder when 125 is divided by q?
13
Calculate the remainder when 120 is divided by 10/(-15)*369/(-6).
38
Let u(c) = -c**3 + 13*c**2 + 15*c - 9. Let j be u(14). Suppose 5*n = 2*b - 64 + 208, -75 = -2*n - j*b. Calculate the remainder when n is divided by 8.
6
Let b be (6 - 1) + 1 + -1. Suppose 27 = b*y - 28. Suppose 0*w + 3*u = -w + y, 4*w - 3*u - 14 = 0. Calculate the remainder when w is divided by 2.
1
Let i = 237 + -160. Let r = 44 - 24. What is the remainder when i is divided by r?
17
Let u = 65 + -57. Suppose 7 = b + 2. Suppose -m + 7 = -b*o, 0*m = 3*m - o - 63. What is the remainder when m is divided by u?
6
Let v(n) = n**3 + n**2 + n + 11. Suppose 12*c - 159 = 9*c. What is the remainder when c is divided by v(0)?
9
Suppose 2*w - 52 = -0*w. Let k(z) = -z**2 + 5*z - 4. Let f be k(6). Calculate the remainder when w is divided by (-1 + -1)/(f/45).
8
Let g(z) = -5*z - 15. Calculate the remainder when 138 is divided by g(-10).
33
Let w = -184 - -231. Calculate the remainder when w is divided by 10.
7
Suppose 0 = -4*y + 4*f + 16, 4*y + 6*f = 4*f + 16. What is the remainder when y is divided by 3?
1
Let u be (-2)/3 - 1140/(-9). Suppose 13 = 4*d - 59. Suppose -4*m + u = d. What is the remainder when m is divided by 14?
13
Suppose -5*g - 6 = -161. Suppose -4*t = -31 - 1. Calculate the remainder when g is divided by t.
7
Let m(f) = 22*f**2 + 4*f + 3. What is the remainder when m(-2) is divided by 14?
13
Suppose 2*p = -3*p + 4*o + 232, -242 = -5*p - o. What is the remainder when p is divided by 17?
14
Let q = 23 + -18. Suppose 8*f - q*f = 12. Let v(m) = m**2 + 7*m + 8. What is the remainder when f is divided by v(-6)?
0
Suppose -4*h = -i + 30, 2*i + 2*h + 4 - 64 = 0. Suppose i = 3*j - j. Calculate the remainder when j is divided by 9.
6
Suppose -2*c = -0*c - 6. Suppose -40 = -4*u + 5*m, 4*u + 2*m - 12 = -0*u. What is the remainder when u is divided by c?
2
What is the remainder when 128 is divided by 3/(-7) - (-3042)/91?
29
Let l be (20/(-15))/((-4)/(-222)). Let k = -12 - -19. What is the remainder when (-4)/(-6) - l/6 is divided by k?
6
Let m(f) = 2*f + 0 - 6*f - 5*f + 4. What is the remainder when m(-3) is divided by 11?
9
Suppose 5*f - 42 + 1 = -2*r, 0 = 4*r - 4*f - 40. Calculate the remainder when r is divided by 7.
6
Let g = 15 - 5. Calculate the remainder when 19 is divided by g.
9
Let i(t) = -5*t**3 - t**2 + 1. Calculate the remainder when i(-1) is divided by 6/(-4)*(-4)/3.
1
Let j(r) = -r**2 + 7*r - 5. What is the remainder when j(6) is divided by 1?
0
Let q(x) = x**2 - 10*x + 7. Let s be q(6). Let r = s + 40. Calculate the remainder when r is divided by 8.
7
Let o(r) be the third derivative of -r**6/120 + r**5/30 + r**4/8 + r**3/3 - 2*r**2. Calculate the remainder when 6 is divided by o(3).
0
Let r be 0*3/6 - -11. Let o = r - 8. Suppose 0 = 4*a - 9 - o. Calculate the remainder when 4 is divided by a.
1
Let x = -4 - -11. What is the remainder when 18 is divided by x?
4
Suppose 5*t = 3*p + 4*t - 29, 4*p = -3*t + 17. Calculate the remainder when 38 is divided by p.
6
Let v be 69/12 - 1/(-4). Let h = 20 - v. Calculate the remainder when 54 is divided by h.
12
Let k(w) = 4*w**2 + w - 1. Let c be k(1). Suppose c*b = 3*z - 58, -5*z + 75 = -b + 1. Calculate the remainder when 26 is divided by z.
12
Suppose 5*t = -15, 5*t = 2*g - 80 + 11. What is the remainder when 78 is divided by g?
24
Suppose 5*d = y + 107, -44 = -d - 2*y - 16. What is the remainder when d is divided by 5?
2
Let n(l) = 2*l**2 - 10*l + 8. Let z be n(6). Suppose z = -0*y - 4*y. What is the remainder when 3 is divided by (-9)/y - (-2)/10?
1
Suppose -49 = -d - 5*u + 19, -128 = -2*d - 2*u. Calculate the remainder when d is divided by 22.
19
Let j(d) = 25*d + 1. Let f(c) = c**2. Let x be f(-1). Calculate the remainder when j(x) is divided by 9.
8
Let k(l) = -7*l - 6. Let s be 2/8 - 21/4. Suppose -5*p - 26 = -101. What is the remainder when k(s) is divided by p?
14
Let m(f) = f**2 - 2*f - 2. Let t be m(-5). What is the remainder when 21 is divided by (t/6)/(1/2)?
10
Let g = -144 - -222. What is the remainder when g is divided by 9?
6
Suppose -t + 1 = -4*u + 24, 0 = 4*u - 5*t - 3. Suppose -5*h + 4*l + 134 = 0, 95 - 16 = 3*h - l. Calculate the remainder when h is divided by u.
5
Let y(a) = a**3 + 3*a**2 - 9*a + 9. What is the remainder when 82 is divided by y(-5)?
2
Let w = 66 + -46. Calculate the remainder when 99 is divided by w.
19
Suppose 10 = -2*i, i - 11 = -4*j - 0*i. What is the remainder when 8 is divided by j?
0
Let n = 8 + -6. Suppose -3*y - n*g + 18 - 5 = 0, 16 = 4*y + 3*g. Let x(d) = d - 7. What is the remainder when y is divided by x(10)?
1
Let q = 47 - 2. Calculate the remainder when 134 is divided by q.
44
Let b = 9 + -4. Calculate the remainder when b is divided by 3.
2
Let j(h) = -17*h + 1. Let s be j(-1). Let o = s - 7. Let b(g) = -g**3 + 4*g**2 - g. What is the remainder when o is divided by b(3)?
5
Let h(k) = -k**3 + k**2 + 6*k + 9. What is the remainder when 15 is divided by h(-2)?
6
Suppose -w - 99 = 3*c, -5*c - 63 = -3*w + 88. Calculate the remainder when 19 is divided by 1/(-3 + c/(-10)).
4
Suppose 4*j - 3*o + 11 = -6*o, 0 = -5*j - o. What is the remainder when ((-39)/12)/(j/(-4)) is divided by (16/10)/(1/5)?
5
Let t(g) = -2*g - 8. What is the remainder when t(-14) is divided by 7?
6
Let o(u) = u**3 - 10*u**2 + 5*u + 1. Let m(z) = z**3 - 9*z**2 + 4*z + 2. Let f(r) = -3*m(r) + 2*o(r). Calculate the remainder when 59 is divided by f(6).
19
Suppose 0 = 3*x - 3*k - 57, 3*x - 47 - 7 = 4*k. Calculate the remainder when 86 is divided by x.
20
Suppose 12 = -6*g - 102. Let b be (1 + 0/2)*-7. Let v = b - g. Calculate the remainder when 46 is divided by v.
10
Suppose -6*k - 35 = -11*k. What is the remainder when 12 is divided by k?
5
Calculate the remainder when ((-18)/(-15))/(3/110) is divided by 16.
12
Suppose -3*j + 12 = -3. Calculate the remainder when 7 is divided by j.
2
Let q(f) = -108*f - 533. Let j be (1 + 0)/(2/(-58)). Let d = j + 41. What is the remainder when d is divided by q(-5)?
5
Suppose 3*d = -11 + 47. Calculate the remainder when d is divided by 5.
2
Let x(o) be the first derivative of o**2 + 2*o - 1. What is the remainder when 34 is divided by x(5)?
10
Let v = 41 + -35. Calculate the remainder when 10 is divided by v.
4
Let r(u) be the third derivative of -u**4/24 + 7*u**3/3 + 3*u**2. Calculate the remainder when 34 is divided by r(7).
6
Let f(p) = -123*p - 2. What is the remainder when f(-1) is divided by 31?
28
Let b(o) = -o + 72. Calculate the remainder when 232 is divided by b(33).
37
Suppose 4*d - 156 = 2*d. Suppose 111 = 15*c - 189. Calculate the remainder when d is divided by c.
18
Suppose 3*o + 10 = 2*o - 5*t, 0 = -5*t - 20. Suppose 0 = 4*g + 2 - o. Calculate the remainder when 3 is divided by g.
1
Suppose -4*s + 98 = 5*k, 0 = 7*k - 2*k - 3*s - 84. Let q = -12 + k. Calculate the remainder when 23 is divided by q.
5
Calculate the remainder when (-864)/(-10) + (-24)/(-40) is divided by 15.
12
Suppose -5*l + 2*w + 20 = 0, -2*w - 4 = -0*l - l. Let r = l + 0. What is the remainder when 9 is divided by r?
1
Suppose -g - g + 5*s - 17 = 0, -4*g + s = 43. Calculate the remainder when 31 is divided b