nder when c is divided by 6.
5
Suppose -3*h + 6*h + v = 4, -5*h = -3*v - 30. Suppose 12 = -c + h*c. What is the remainder when 27 is divided by c?
3
Let h(u) = -u + 6. Suppose 0*v - 5*v - 25 = -n, 0 = 2*n - 10. Let y be 21/v + 3/12. Calculate the remainder when h(y) is divided by 4.
3
Calculate the remainder when 51 is divided by 18/(-261) - 1750/(-145).
3
Calculate the remainder when (69/(-2))/(9/(-18)) is divided by 27.
15
Suppose -z - 387 = 4*a - 6*z, 0 = -3*a + z - 304. Let u = 149 + a. Calculate the remainder when u is divided by 106/9 + 8/36.
10
Suppose -5*w = -1002 - 608. Calculate the remainder when w is divided by 118.
86
Suppose -98 = 2*y - 9*y. Calculate the remainder when 123 is divided by y.
11
Calculate the remainder when 224 is divided by 60*(-7 - -9)*2/4.
44
Let q(s) = s**2 - 3*s - 8. Let w be q(5). Suppose -21 = -c + 4*h, -10 = -c + w*h + 11. What is the remainder when c is divided by 14?
7
Suppose -2*c + 30 = -2*y, -6*c + 7*c = -y + 5. Calculate the remainder when 174 is divided by c.
4
Let o = -40 + 42. Suppose -31 = -4*n - o*r - 5, 0 = -5*r + 5. Calculate the remainder when 16 is divided by n.
4
Let g = 65 + -34. Let n(o) = 3*o**2 - 23*o - 24. Calculate the remainder when g is divided by n(9).
7
Suppose 5*s - 3*s - 5*l = 71, 3*s = -4*l + 49. Suppose 5*r = o - 44 + 11, -2*o + 11 = r. Calculate the remainder when s is divided by o.
7
Let q(c) = 2*c - 21. Let v be q(5). Let i(j) = j**2 + 9*j - 2. Let u = -116 + 174. What is the remainder when u is divided by i(v)?
18
Let m(l) = -l**2 + 4*l + 3. Let k be m(4). Calculate the remainder when 54 is divided by 44/k + 12/36.
9
Suppose -8*u - 1451 = -1611. Calculate the remainder when 97 is divided by u.
17
Suppose -54*s + 49*s = -3350. Calculate the remainder when s is divided by 42.
40
What is the remainder when (-4)/3*(61 - 154) is divided by 21?
19
Let n = 1629 - 1588. Calculate the remainder when n is divided by 10.
1
Suppose -11 = -5*k + 5*j + 54, -k = -4*j - 22. Suppose k*l + 4 = 11*l. What is the remainder when 13 is divided by l?
1
Suppose 4*t + 0*t - 112 = 0. Suppose -3*i - 623 = -g - 2511, 0 = -2*g - 8. Suppose 16*u - i = 220. What is the remainder when u is divided by t?
25
Let o = 45 + -27. Let f(p) = -p**3 + 4*p**2 - 10*p + 8. Let b be f(6). Let u = 176 + b. Calculate the remainder when u is divided by o.
16
Suppose 4*n - 6 - 14 = 0. Suppose -p = -n*g - 76, -4*p - g = -12 - 229. Calculate the remainder when p is divided by 13.
9
Let t be ((-36)/8)/1*4. Let f = t - -48. Calculate the remainder when f is divided by (13 - (-2 + 2)) + -2.
8
Let q(v) = -5*v + 167. What is the remainder when 77 is divided by q(27)?
13
Let f(m) = 2*m - 18. Let s be 3 + -1 - -12 - 1. Let k(y) = -15*y - 1. What is the remainder when k(-1) is divided by f(s)?
6
Let g = 623 + -616. Calculate the remainder when 131 is divided by g.
5
Suppose -b + 6 - 16 = -3*z, -4*z = 5*b - 7. What is the remainder when 16 is divided by b/((9/(-15))/3)?
1
Let j be (-2)/(-6) + 115/15. Calculate the remainder when 3 is divided by (-10 + j)/(0 - 1).
1
Suppose -6 = -g - 3*t, 2*t + 2*t = 4. What is the remainder when 46 is divided by g?
1
Suppose 4*u - 195 = -u. What is the remainder when u is divided by 0/(-1) + (-2 - -8)?
3
Suppose 8 - 58 = -5*c. Suppose x = -4*x + c. Suppose -90 = -5*f - 2*n, 17 = x*f - n - 2*n. What is the remainder when 30 is divided by f?
14
Let c = 1 - 1. Suppose c = 5*b + 5*g - 140, 2*b - 83 = g - 15. What is the remainder when b is divided by 7?
4
Let k = 994 - 980. What is the remainder when 36 is divided by k?
8
Suppose 302*d + 66 = 305*d. What is the remainder when 86 is divided by d?
20
Let c = -577 + 1230. What is the remainder when c is divided by 14?
9
Let c(m) = 21*m - 17. Let s(b) = -10*b + 9. Let i(h) = -2*c(h) - 5*s(h). Let k be i(7). What is the remainder when 10/k - 7/(-9) is divided by 1?
0
Let g be ((-12)/15)/((-4)/20). Suppose g = 4*r - 20. Calculate the remainder when 58 is divided by r.
4
Let x(i) = -i**3 - 25*i**2 - 4*i - 71. Calculate the remainder when x(-25) is divided by 9.
2
What is the remainder when 2/10 + (-15272)/(-115) is divided by 42?
7
Let v = 101 + -99. Calculate the remainder when 3/v*8 - -2 is divided by 6.
2
Suppose w + 0 - 2 = 0. Suppose w*c = 31 + 1. What is the remainder when 30 is divided by c?
14
Let t = 86 - 83. Suppose -4*i + t*s = -19, -5*i + 8 = 5*s - 7. Suppose 5*u = 3*v + 2 + 62, -2*v = 3*u - 27. What is the remainder when u is divided by i?
3
Let v(p) = 7*p**2 - 16*p + 8. Let u be v(8). Calculate the remainder when 40 is divided by 3/9 + u/24.
12
Let z be (-11)/(-4) - 7/(-28). Suppose -15 = 5*k, 2*o = 3*o - z*k - 24. Calculate the remainder when 56 is divided by o.
11
Let n(z) = 5*z - 13. Let a be n(12). Let s = -22 + a. Calculate the remainder when s is divided by (0 - 14/(-3))/((-33)/(-99)).
11
Suppose 4*t + 2*g - 4 - 6 = 0, -2*t - 4*g - 4 = 0. Suppose -16 = 4*q, -t*p + 113 - 33 = q. Calculate the remainder when 83 is divided by p.
20
Suppose -3 + 0 = -c. Let u(b) = -5*b - 2. What is the remainder when u(-1) is divided by c?
0
Let k = -379 + 398. What is the remainder when 379 is divided by k?
18
Suppose -4*a - 2*z - 64 = -6*a, 4*z = -2*a + 40. Let p be (-15)/(a/(-8) - -3). Suppose -c + p = 4*c. What is the remainder when c is divided by 4?
2
Suppose -33*i + 7*i = -3874. What is the remainder when i is divided by 65?
19
Suppose 5*l = 3*m - m + 23, 0 = -l - 5*m - 17. Let c = -7771 + 7773. What is the remainder when l is divided by c?
1
Let l = -191 - -211. Calculate the remainder when 36 is divided by l.
16
Let q be ((-2 + 154)/(-1))/(-1). Suppose 43 = 9*j + 7. Suppose 0*o = j*o - q. What is the remainder when o is divided by 10?
8
What is the remainder when (-14*12/(-112))/(6/224) is divided by 20?
16
Let f(g) = -6*g**2 - 12 - g**3 + 8*g + 6 - 17*g. Calculate the remainder when 51 is divided by f(-5).
9
Suppose 4*v + v = 95. Calculate the remainder when (-4)/(-48)*-4*-219 is divided by v.
16
Let g(n) = 4*n + 2. Let l be g(2). Let s = l - 8. Suppose 0 = -4*j - c + 85, -j - j = -s*c - 40. Calculate the remainder when 81 is divided by j.
18
Suppose 3*v - 114 = 105. Suppose -p = -1, l + 0*p = p + v. Calculate the remainder when l is divided by (-234)/390*95/(-3).
17
Let t(l) = l**2 + 1. Let a = -15 - -9. Let k(v) = 7*v**2 - 2*v + 8. Let b(x) = a*t(x) + k(x). Calculate the remainder when b(3) is divided by 2.
1
Suppose 39 = 16*g - 41. Suppose n - 188 + 1665 = g*z, -3*n + 1489 = 5*z. Calculate the remainder when z is divided by 23.
20
Let u be 61 + 9/((-18)/8). Let s = 104 + u. Calculate the remainder when s is divided by 41.
38
Suppose 6*q + 3*g = 2*q + 94, 5*q + 3*g - 116 = 0. Let z = -1118 - -1179. What is the remainder when z is divided by q?
17
Suppose 2*z + 0*z = -3*l + 15, 45 = 4*z + 3*l. Suppose -22*u = 18*u - 2880. What is the remainder when u is divided by z?
12
Let j(h) be the third derivative of h**4/8 - 28*h**3/3 - 6*h**2. Calculate the remainder when 30 is divided by j(24).
14
Let y(m) = -6*m - 28. Let c(s) = 18*s + 84. Let k(n) = -4*c(n) - 11*y(n). Calculate the remainder when k(-12) is divided by 9.
8
Let q(t) = -t**3 - 4*t**2 + 2*t + 2. Let r be q(-2). Let h = r + 14. Suppose 0 = -2*o + h*o - 44. What is the remainder when o is divided by 6?
4
Let p(s) = 7*s - 1. Let q(a) = -2 + 0 + 1. Let m(y) = -p(y) - 2*q(y). Calculate the remainder when m(-3) is divided by 9.
6
Let q = 22 + -22. Suppose 4*w - 14 - 14 = q. Let r(s) = -32*s**3 + s**2 + s. Calculate the remainder when r(-1) is divided by w.
4
Suppose -6*l = -13*l + 553. Suppose 5*s = -2*h + l, 3*h = -h + s + 213. Calculate the remainder when h is divided by 14.
10
Let h = 875 - 871. Let u(a) = -3*a - 2. Let v be u(-7). Let o = -12 + v. What is the remainder when o is divided by h?
3
Let u be (-4)/26 - (-76)/(-13). Calculate the remainder when 4 is divided by 44/33 + (-4)/u.
0
Suppose 39 = -22*r + 193. Let c(s) = -1 - 1 + 1 - 2*s. Calculate the remainder when r is divided by c(-3).
2
Let m = 32 - 28. Suppose 0 = -4*n + f + 9, 4*n + 3*f + 1 - 6 = 0. Suppose z - 30 = -n*z. What is the remainder when z is divided by m?
2
Suppose 0 = -8*o + 118 + 74. Calculate the remainder when 32 is divided by o.
8
Let y(i) be the third derivative of i**6/120 + i**5/15 + 17*i**3/6 - 43*i**2. What is