culate the remainder when s is divided by z(1).
3
Suppose 0 = z + z - 2*k, -2*k = -3*z - 4. Calculate the remainder when 0 + 0 + -1 + 2 is divided by (-2)/(-6) + z/(-6).
0
Let q be 7 + -29 + 1*-2. Let f = 59 + q. What is the remainder when f is divided by 12?
11
Suppose -h + 38 = h. What is the remainder when 34 is divided by h?
15
Let g = 21 - 13. Suppose -g - 8 = 4*f. Let o = 6 + f. What is the remainder when 4 is divided by o?
0
Let t = 29 - 6. Calculate the remainder when (67 - -1) + -3 + 2 + 0 is divided by t.
21
Suppose -6*p + 5*p + 3 = 0. Let u = 7 - p. Suppose -12 - 4 = -u*l. What is the remainder when l is divided by 3?
1
Suppose -96 = -i - 3*i. Calculate the remainder when 46 is divided by i.
22
Let u(g) = -g**2 - 4*g + 2. Let c be u(-4). Suppose 3*z + 0*z + 5*n = 29, 2*z = c*n - 2. Calculate the remainder when z is divided by 2.
1
Let m(n) = -5*n - 7. Let z be m(-5). Suppose -9*p + z = -7*p. Calculate the remainder when 15 is divided by p.
6
Let d(h) = -2*h - 2. Let k be d(-7). Let j be ((-6)/4)/(1/10). What is the remainder when 4 is divided by (k/j)/((-2)/5)?
0
Suppose 5*u + 8 = -2. Let q(f) = -4*f - 4. Calculate the remainder when 5 is divided by q(u).
1
Let o be ((-1)/1)/((-3)/66). Let x = -11 + o. Suppose z - 20 = -0*z. Calculate the remainder when z is divided by x.
9
Let i(z) = -3*z - 9. Let q(u) = -7*u + 1. What is the remainder when i(-10) is divided by q(-1)?
5
Suppose -q - 114 = -j - j, -160 = -3*j - 4*q. Let v = -15 + 44. Calculate the remainder when j is divided by v.
27
Suppose -5*o + 268 = 3*m - 340, -5*m = -2*o - 972. Calculate the remainder when m is divided by 18.
16
Let w = -87 + 135. Calculate the remainder when 140 is divided by w.
44
Suppose 0 = 14*y - 62 - 148. Calculate the remainder when 88 is divided by y.
13
Suppose 5*h - 2 = h + z, -5*z + 9 = -h. Suppose 0*k + 48 = 2*k. What is the remainder when k is divided by 26/(-8)*h*-4?
11
Let m(a) = -3*a + 1. Let g be m(1). Let d = 11 + g. Calculate the remainder when 52 is divided by (7 + -1)/(3/d).
16
Let s = 39 - 28. What is the remainder when 53 is divided by s?
9
Suppose -y + 466 = 5*g, -4*g + 392 = -5*y + y. What is the remainder when g is divided by 16?
14
Let y(w) = -w - 8. Let i be y(-10). Let s = i + 4. Calculate the remainder when 16 is divided by s.
4
Suppose -8*u + 4*u - 4*c = 8, 11 = 2*u - c. Suppose 4*r - 13 = -q, u*q - 3*r + 2*r = 0. Calculate the remainder when q is divided by 1.
0
Suppose -2*i - 248 = -3*l - 2*l, -l = i - 44. What is the remainder when l is divided by 7?
6
Suppose d + 50 = 6*d. Let n = 15 + -9. Calculate the remainder when d is divided by n.
4
Let t be 2*((-1)/(-2) - 0). Let x(q) = q - q - t - 4*q. Calculate the remainder when x(-9) is divided by 12.
11
Suppose 9*j - 17*j + 1424 = 0. What is the remainder when j is divided by 18?
16
Let s(c) = 5*c**2 - 5*c + 10. Calculate the remainder when s(4) is divided by 8.
6
Let v = -81 - -192. Calculate the remainder when v is divided by 6.
3
Suppose -7*t + 41 + 8 = 0. Let l be -5*(1 + (-2)/(-10)). Let s(q) = -q - 3. What is the remainder when t is divided by s(l)?
1
Let l(u) be the third derivative of u**4/8 - 5*u**3/6 - 2*u**2. Calculate the remainder when 28 is divided by l(5).
8
Let y = -6 + 20. What is the remainder when 1*3/(-9)*-117 is divided by y?
11
Let t = -1 + 16. Suppose 147 = -5*i + 367. Calculate the remainder when i is divided by t.
14
Let n(k) = 0*k**2 - 18*k**3 - 3*k**2 - 2*k + 2*k**2 + 0 - 1. What is the remainder when 35 is divided by n(-1)?
17
Calculate the remainder when 5/15 - (-258)/9 is divided by 10.
9
Let l = -11 + 8. Let y = l - -13. Calculate the remainder when 39 is divided by y.
9
Let o(d) = d**2 + 3*d - 2. What is the remainder when 2 is divided by o(-4)?
0
Let l(j) = 2*j**2 - 2*j - 10. What is the remainder when l(5) is divided by 17?
13
Suppose 2*y - 5*y = 72. Let f = -10 - y. Calculate the remainder when 41 is divided by f.
13
Let r = 0 - -11. What is the remainder when 32 is divided by r?
10
Let c(w) = -w**3 + 9*w**2 - 4*w - 20. What is the remainder when c(6) is divided by 23?
18
Let u(h) = 2*h**2 + 1. Let d be u(1). Suppose -5*b + d*b = -24. Calculate the remainder when 23 is divided by b.
11
Let y = 23 - 6. Let f be (-3)/(-2 - (-23)/10). Let l(d) = -d**2 - 13*d + 3. Calculate the remainder when l(f) is divided by y.
16
Let q(s) = 2*s + 10. What is the remainder when q(8) is divided by 9?
8
Suppose -3*w + 5*w + 148 = 5*u, -4*u + 117 = -3*w. Calculate the remainder when 82 is divided by u.
22
Suppose -3*y - 119 = -4*q + 76, -2*y + 6 = 0. Suppose 0 = -c + 4*c - q. What is the remainder when c is divided by 6?
5
Let z(t) = 6*t**2 - 1. Let c be 8/28 - (-2)/(-7). What is the remainder when c + 16 + 4/(-2) is divided by z(1)?
4
Suppose d - 5 = 3. What is the remainder when d is divided by (1*2)/(10/15)?
2
Suppose 5*d + 315 + 455 = 2*c, -15 = 3*c. Calculate the remainder when (1 + 0)/((-13)/d) is divided by 5.
2
Suppose 3*w = -3*r - r + 8, -2*w = -5*r + 33. Calculate the remainder when 13 is divided by r.
3
Let t be 2 + 3/(-1) + 1. Let m = t + 2. Suppose 45 = m*v + 17. What is the remainder when 41 is divided by v?
13
Let s(h) = -h**3 - 6*h**2 - 9*h - 6. Calculate the remainder when s(-6) is divided by 5.
3
Let l(o) = -3*o. Let s = -36 - -39. What is the remainder when l(-1) is divided by s?
0
Let b = 81 - 56. Let m = 52 - 43. What is the remainder when b is divided by m?
7
Let u be 5/(-10) + 46/4. Suppose -p + 6 + u = 0. Calculate the remainder when 66 is divided by p.
15
Let v be (-15)/(-3) + 0/(-2). Suppose 0*k - 2*k + v*l = -12, 0 = -5*k - 5*l + 30. What is the remainder when 6/(3*4/k) is divided by 1?
0
Suppose 2*l - o = -4*o + 51, 5*l = 2*o + 118. Suppose 9*f - 5*f + 5*t - 401 = 0, 4*t = -2*f + 208. Calculate the remainder when f is divided by l.
22
Let n(z) = z**3 - 6*z**2 - 7*z - 5. Let p be n(7). Let f(u) = u**3 + 5*u**2 - u + 4. Let c = 0 + 25. Calculate the remainder when c is divided by f(p).
7
Suppose q = 11*q - 60. What is the remainder when 16 is divided by q?
4
Let g(w) = 9*w - 2. Calculate the remainder when 95 is divided by g(3).
20
Suppose -4*l + 2 = -6. What is the remainder when 7 is divided by l?
1
Let i = -8 + 6. Let v be ((-62)/3)/(i/6). Suppose 5*j = -17 + v. Calculate the remainder when 25 is divided by j.
7
Suppose -7 + 1 = -3*g. Suppose 9*c - 5*t + 5 = 4*c, -5*c + 4 = -g*t. Calculate the remainder when 7 is divided by c.
1
Suppose 1 = -4*y + 17. Suppose 0 = -4*g - 0*g - 5*k + 104, y*k = -3*g + 77. Calculate the remainder when g is divided by 8.
7
Let r(o) = 2*o**2 + o + 6. Let n(c) = c**2 + c + 1. Let s(z) = 3*n(z) - r(z). Let i = 2 + 0. Calculate the remainder when s(-4) is divided by i.
1
Calculate the remainder when (-3)/(1 + 6/(-5)) is divided by 9.
6
Let a = 11 - 8. Suppose 13 + a = i. What is the remainder when 29 is divided by i?
13
Suppose n + 50 = p + 2*p, 3*n - 12 = 0. Calculate the remainder when p is divided by 7.
4
Suppose 19 = 5*f - 2*i, 4*f = -0*i + 2*i + 16. What is the remainder when f is divided by 2?
1
Suppose 0 = j - 15 - 32. What is the remainder when j is divided by 16?
15
Let m be 0/(2 - -1) + 3. Let w(v) = -v**2 + 4*v. What is the remainder when (-2)/(-6) + 22/6 is divided by w(m)?
1
Suppose 4*x + 0*x - 96 = 0. Let c(z) = -2*z**3 - z - 1. Let m be c(-1). Suppose 0 = -m*o - 0*o + x. What is the remainder when 47 is divided by o?
11
Calculate the remainder when 13 is divided by (-1)/(1/(-2 + -5)).
6
Calculate the remainder when 22 is divided by (3/(-12)*-4)/((-1)/(-3)).
1
Suppose -g = -8*g + 119. What is the remainder when 48 is divided by g?
14
Let k = 4 - -29. What is the remainder when k is divided by 18?
15
Suppose -5*o = 2*u - 6*o - 30, -5*u + 4*o = -75. What is the remainder when u is divided by 7?
1
Suppose 0 = 2*s - 51 - 33. Calculate the remainder when s is divided by 9.
6
Let p(h) = h**2 - 4*h - 2. Suppose -39 = -2*v - 1. What is the remainder when v is divided by p(6)?
9
Let p be (-12)/(-5) - (-4)/(-10). Suppose -c - p = 2. Calculate the remainder when -2*62*1/c is divided by 16.
15
Let t(j) = j**2 - 11*j + 2. Let a(x) be the third derivative of -x**4/12 - x**3 - 2*x**2. What is the remainder when a(-4) is divided by t(11)?
0
Let x(y) = -y**3 - y**2 + 3*y + 3. Calculate the remainder when 47 is 