pose -2*j - 2*l + 4 = -12, 2*j - 4*l + 14 = 0. Let y = j + 1. Suppose -y*x = -21 - 31. What is the remainder when 24 is divided by x?
11
Suppose -28 = -4*t - 4*j - 0*j, j - 27 = -5*t. Calculate the remainder when 14 is divided by t.
4
Let o(k) = -22*k**3 - k**2 + 2*k - 7. Let m(i) = i**3 + 1. Let n(c) = -6*m(c) - o(c). What is the remainder when n(1) is divided by 6?
4
Suppose 0 = -4*t - t + 130. Suppose -t = -5*p + 9. Calculate the remainder when ((-19)/(-1))/(2/2) is divided by p.
5
Suppose 0 = -5*h - 3*c + 423, -8*c + 415 = 5*h - 3*c. What is the remainder when h is divided by 22?
21
Let d(i) = 16*i - 14. What is the remainder when d(6) is divided by 14?
12
Let g(v) = v**3 - v**2 + v - 1. Suppose 3*f + 3 = -l - 2*l, -8 = 2*l. What is the remainder when g(f) is divided by 11?
9
Suppose -d + 4*o - 8 = 9, 12 = 3*o. Let l be -51 - (d/(-1) - -2). Let i = l - -101. What is the remainder when i is divided by 12?
11
Let c(f) = f. Let t(v) = 2*v. Let h(u) = 8*c(u) - 3*t(u). Let k(i) = i**2 - 2*i - 1. What is the remainder when h(1) is divided by k(3)?
0
What is the remainder when 57 is divided by (-2)/4 - ((-312)/16 + 4)?
12
Suppose 19 = 3*b + 5*o, 3*o - 6*o - 25 = -b. Let m(g) = 5 - 4 + 5*g + 4*g**2 - 3*g**2. What is the remainder when m(4) is divided by b?
11
What is the remainder when 206/14 - 2/(-7) is divided by 9?
6
Let f(v) = 5*v**2 + 1. Let u be f(-1). What is the remainder when 12 is divided by (1 - (-3 - -3)) + u?
5
Let w(f) = -f**2 + 12*f - 19. Suppose -4*k = -2*k - 102. Calculate the remainder when k is divided by w(8).
12
Let u(t) = t**3 - t**2 + t - 4. Let c(m) = m + 11. Let y be c(-8). What is the remainder when 47 is divided by u(y)?
13
Let x(a) be the first derivative of -a**4/2 - 7*a**3/3 - 5*a**2/2 - 3*a + 6. Suppose 4*k + 0*k - 68 = 0. Calculate the remainder when x(-4) is divided by k.
16
Let f(k) = 4*k**2 + 27*k - 12. What is the remainder when f(-9) is divided by 12?
9
Calculate the remainder when ((-2)/(-4))/(6/228) is divided by 10.
9
Suppose 4*r = 5*l + 112, -5*r + 4*l + 135 = 4. Calculate the remainder when r is divided by 8.
7
Let p(k) = k**2 + k + 2. Suppose 2*i - 13 = -3. What is the remainder when 2/(-10) - (-56)/i is divided by p(-2)?
3
Let k = -12 - -18. Suppose -2*u + k*u = 92. Calculate the remainder when u is divided by 13.
10
Suppose 2*g + 68 = 4*g. Suppose 3*o = 9, 0*a - 2*o + 33 = 3*a. Calculate the remainder when g is divided by a.
7
Calculate the remainder when 255/9 + (-4 - 33/(-9)) is divided by 10.
8
Let p = -21 - -22. Let y(r) = 44*r - 2. What is the remainder when y(p) is divided by 11?
9
Suppose 3*x - 3*j - 870 = 0, 0*x + 545 = 2*x + 5*j. Calculate the remainder when x is divided by 32.
29
Let w(q) = 2*q**2 + 13*q - 3. What is the remainder when 34 is divided by w(-8)?
13
Let m be (-5)/(5/(-2)) - -21. Suppose 3*h + r = -5, -3*h - r - 15 = 2*r. Suppose h = 2*p - m - 9. What is the remainder when p is divided by 6?
4
Let r = 21 - 14. Calculate the remainder when 19 is divided by r.
5
Suppose 4*v + 96 = 3*h + 2*v, -4*v - 12 = 0. What is the remainder when h is divided by 13?
4
Suppose 22 = -5*g + 62. Let m = 14 - g. Calculate the remainder when 10 is divided by m.
4
Let l(t) = -t**3 + 6*t**2 - 4*t - 2. Let i be l(5). Suppose -4*m = -i*r - 116, 4*m - 4*r = 122 - 6. Calculate the remainder when m is divided by 15.
14
Suppose -8*a - 4 = -4*a. Let y = 7 + a. Calculate the remainder when y is divided by 2.
0
Let s(i) be the third derivative of i**4/12 - i**3/3 + 4*i**2. Let p be s(2). Calculate the remainder when p + -6*14/(-4) is divided by 8.
7
Suppose 3*f + 45 = 5*y, 7 = 5*y - 2*f - 38. Calculate the remainder when 73 - 1 - (-8 + y) is divided by 18.
17
Let g = 4 - 1. What is the remainder when 3 is divided by g?
0
Let s = 2 - -1. Let n = 23 - 13. Calculate the remainder when (-2)/((12/(-58))/s) is divided by n.
9
Let a(o) = -8*o. Let f be a(1). Let m = f - -12. Suppose m*z + 5 = 49. What is the remainder when 20 is divided by z?
9
Suppose -14*z + 8*z = -1698. Calculate the remainder when z is divided by 57.
55
Let l be (22 - 2)/(-4 + 6). Suppose m + 3*z + 0*z = -1, 0 = -2*m - 3*z + l. What is the remainder when 30 is divided by m?
8
Calculate the remainder when 16 is divided by (-172)/(-36) + (-6)/(-27).
1
Suppose -4*h + 53 = -35. Calculate the remainder when 42 is divided by h.
20
Let w(p) = -p**3 + 5*p**2 + 5*p + 14. What is the remainder when (-170)/(-8) + 2/(-8) is divided by w(6)?
5
Suppose -2*d + 7 = 1. Let z be 2 - 6/d - 3. Calculate the remainder when 37 is divided by (14 - 3/z) + -2.
11
Let l(i) = 15*i**3 + 2*i**2 + i. Let a be l(-1). Let n be (1 - a)*(-1)/(-3). Suppose 0 = n*w - w - 64. What is the remainder when 30 is divided by w?
14
Let k(j) = 2*j**2 + 5*j + 12. Let x(w) = -3*w**2 - 7*w - 18. Let c(t) = -7*k(t) - 5*x(t). What is the remainder when c(-5) is divided by 11?
9
Suppose -r + i + 16 = 0, -r + 0*i = -5*i. Calculate the remainder when (-10)/r + (-61)/(-2) is divided by 11.
8
Let z(r) = -2*r - 3. Let a be z(9). Calculate the remainder when 40 is divided by a*-1*(0 - -1).
19
Suppose -2*w = -4*h - 48, 0 = 5*w - 3*h - 62 - 37. Suppose -8*g + 4*g - 3*d + w = 0, -2*d = 4*g - 16. What is the remainder when 5 is divided by g?
2
Calculate the remainder when (-244)/12*1*-3 is divided by 16.
13
Let x(a) = 3*a + 6. Calculate the remainder when x(5) is divided by 11.
10
Let b = -72 - -131. Calculate the remainder when b is divided by 16.
11
What is the remainder when 405/(-18)*(-54)/15 is divided by 23?
12
Suppose -3*l + l = -10. Suppose 3*y = -3*q + 102, 2*y - 62 = -y + l*q. Let d = 51 - y. Calculate the remainder when d is divided by 12.
10
Let i(u) = -u**2 + 22*u - 29. Suppose -h = -3*z - 22, 3*z = 5*h + 6 - 56. Calculate the remainder when i(20) is divided by h.
4
Suppose 26 = -w + 73. Let h = -17 + 29. What is the remainder when w is divided by h?
11
Suppose -4*r = -4 - 4. Suppose r*t = 7*t - s + 16, 0 = 5*t - 4*s + 4. Let u(z) = z**3 + 6*z**2 + 3*z - 4. What is the remainder when u(t) is divided by 9?
7
Calculate the remainder when 9 is divided by (-9)/6 - (-22)/4.
1
Let d = -119 + 168. Calculate the remainder when d is divided by 17.
15
Let v be 5 + -2 + 8/2. Let h = 42 + -23. Suppose b = h + v. Calculate the remainder when b is divided by 9.
8
Suppose 3*g - 43 = 4*p, g + 5*p - 130 = -4*g. What is the remainder when 41 is divided by g?
20
Let i(a) = 36*a. Let p(o) = 2*o - 5. Let b be p(4). Suppose -5*f + b*j = 5*j - 103, 0 = -5*j + 20. What is the remainder when i(1) is divided by f?
17
Calculate the remainder when 63/(-18)*22/(-1) is divided by 13.
12
Let y(p) = 6*p + 4. Suppose -3*i + 35 = 5. Calculate the remainder when y(4) is divided by i.
8
Let x = -21 - -50. Suppose 0*o + o = x. Let q = -5 - -15. Calculate the remainder when o is divided by q.
9
Let j(v) = 2*v**3 - 6*v**2 + 3*v - 5. Calculate the remainder when j(4) is divided by 14.
11
Let x = -7 + 11. Suppose x*i = 2*z - 56, z - 21 = -4*i + 7. Let g = -16 - -31. Calculate the remainder when z is divided by g.
13
Suppose u - 50 = 9. Calculate the remainder when u is divided by 20.
19
Let w(k) = -2*k + 7. What is the remainder when 28 is divided by w(-4)?
13
Suppose 0 = -5*z + 16*z - 385. Calculate the remainder when 69 is divided by z.
34
Suppose 2 + 2 = 2*u. Let c be 2*(6/4 - 1). Suppose -4 = 4*f, c - 3 = -r + f. Calculate the remainder when u is divided by r.
0
Let o be (-48)/(-22) - 4/22. Let p(s) = 3*s**3 - s**2 + 4*s - 3. Calculate the remainder when p(o) is divided by 7.
4
Let q be (3/2)/(3/28). Suppose 5*g = -3*f - 3, 0 = -3*f + g + q + 1. Calculate the remainder when 6 is divided by f.
2
Suppose 0 = -4*l + 20 + 20. Calculate the remainder when l is divided by 1*(-2)/2 - -7.
4
Let b(z) = -z + 9. Let t be b(-4). Let j(w) = -7*w - 1. Let k be j(-1). Let a = t - k. Calculate the remainder when a is divided by 3.
1
Suppose -l - y + 24 = -0*l, 3*l - 96 = 5*y. What is the remainder when 77 is divided by l?
23
Let r(l) = -10*l + 9. Calculate the remainder when r(-7) is divided by 42.
37
Suppose 0 = -l - 2*l. Let y(s) = -3 - 3*s + s**3 + l*s**3 + s + 5*s**2. Calculate the remainder when 19 is divided by y(-5).
5
Suppose -4*b = -0*l - 2*l - 208, 0 = 3*b + 2*l - 142. Suppose 0*x = 4*x - 68. What is the remainder when b is divided by