**2 - 24. Let q(d) = -6*d**3 - 6*d**2 - 121. Let i(s) = 2*q(s) - 11*v(s). Calculate the remainder when i(0) is divided by 12.
10
Let f(z) be the second derivative of -z**3/3 + 35*z**2/2 + 4*z. What is the remainder when f(0) is divided by 12?
11
Let s(q) = 7*q**3 - 12*q**2 + 11*q - 2. Let y(p) = -8*p**3 + 13*p**2 - 12*p + 2. Let g(z) = -7*s(z) - 6*y(z). What is the remainder when g(5) is divided by 1?
0
Let b(t) = t**2 - 5*t + 11. Calculate the remainder when b(10) is divided by 21.
19
What is the remainder when (-568)/(-14) - (-3)/7 is divided by 22?
19
Let x(l) = 2*l - 4 + 6 + 10*l**2 - 1. What is the remainder when 34 is divided by x(-1)?
7
Suppose 4*d - d + 18 = 0. Let h(z) = -5*z + 5. Calculate the remainder when h(d) is divided by 18.
17
Let v = 1 + -1. Suppose -3*g + 16 + 2 = v. Calculate the remainder when 16 is divided by g.
4
Let m(u) = u**2 - 7. Calculate the remainder when m(6) is divided by 8.
5
Suppose 5*p - 41 - 218 = -3*d, -8 = 2*p. Suppose f + 0*f - 5 = 0. Suppose -3*u - d = -3*q, -26 = -q + f*u + 1. Calculate the remainder when q is divided by 11.
10
Suppose -8*u = -4*u - 48. What is the remainder when 35 is divided by 42/4 + u/(-8)?
8
Let b(k) = 9*k**2 + 2*k. Calculate the remainder when 39 is divided by b(-1).
4
Suppose -c = -5*q - 20, 0 = -c - 4*q + 2. Calculate the remainder when 37 is divided by c.
7
What is the remainder when (-120)/(-25) + (-2)/(-10) is divided by (-2)/2 + (1 - -2)?
1
Let w(d) = -4*d - 1. What is the remainder when 1 - 0 - -2*55/2 is divided by w(-5)?
18
Suppose -y - 2 = -t, -5*y + 4*t - 8 = t. Let f = y - -3. Suppose f + 18 = 2*h. What is the remainder when 19 is divided by h?
9
Suppose 3*i - 52 = 5*b + 39, 2*b + 103 = 3*i. Let u = -4 + i. What is the remainder when u is divided by -1 + 1 + (-54)/(-6)?
6
Let a = 89 + -72. Calculate the remainder when a is divided by 5.
2
Let o = -66 - -77. What is the remainder when 30 is divided by o?
8
Let u(a) = -2*a**3 + a**2 - 1. Let k be u(-1). Suppose 0 = -k*l - 23 + 165. Calculate the remainder when l is divided by 18.
17
Let z(i) = -5*i - 11. What is the remainder when -1 + 1 + 0 - -17 is divided by z(-4)?
8
Let u = 2 - -1. Suppose -w - 17 = -p + w, u*w = -5*p + 85. Suppose -v - 5*b + p = 0, 3*v - 40 = -0*v - 4*b. What is the remainder when 22 is divided by v?
10
Let m = 41 + -30. What is the remainder when 65 is divided by m?
10
Let u = 7 + -18. Let c = u + 21. What is the remainder when 39 is divided by c?
9
Suppose 4*w - 15 = 9. Let d = w - 3. Let o = 1 + d. What is the remainder when o is divided by 2?
0
Let s(k) = 4*k**3 - 2*k**2 - 3. Let y be s(3). Suppose -4*m - 3*z + 81 = -y, 0 = 5*m - 2*z - 187. Calculate the remainder when m is divided by 20.
19
Let h = -68 - -92. Calculate the remainder when h is divided by 14.
10
Calculate the remainder when 844/44 + (-2)/11 is divided by 7.
5
Let l(j) = 2*j. Let g be l(6). Suppose g + 42 = 2*z. What is the remainder when 107 is divided by z?
26
Let j(h) = h**2 + 10*h - 13. Let t be j(-10). Let o = 74 + t. What is the remainder when o is divided by 21?
19
Let d = 2 - 2. Let l be (-3)/((-9)/102) - d. Suppose -3*c + 5*c - l = 0. Calculate the remainder when c is divided by 6.
5
Let q(o) = o**3 + 7*o**2 + o + 9. Suppose -2*c - 14 + 0 = 0. Calculate the remainder when q(c) is divided by 2.
0
Let x be 0/(5/(5/2)). Suppose 0 = 2*o - 5 + 15, -5*h + 4*o + 85 = x. Calculate the remainder when 62 is divided by h.
10
Let t(u) = 60*u. Let b be t(-1). Let z = 4 - b. Let n = -35 + z. What is the remainder when n is divided by 8?
5
Suppose -5*p + 2 = -48. Calculate the remainder when 67 is divided by p.
7
Suppose 0 = 5*q - 3*c - 702, 0*c = -4*q - 4*c + 568. Calculate the remainder when q is divided by 16.
13
Let j(s) = s**2 - 3*s - 15. Let g = -4 - -11. Calculate the remainder when j(g) is divided by 7.
6
Let q(a) = 6*a - 207. Let i(c) = -c + 6. What is the remainder when i(0) is divided by q(35)?
0
Suppose 4*o - 51 = 45. Suppose -2*x = 2 - 28. What is the remainder when o is divided by x?
11
Suppose 5*d - 20 = -u, -d = 4*u + 4 - 8. Suppose 0 = 3*r + 5*s - 17, 3*s + 13 = 5*r - d. Suppose 2*n = 7*n - 30. Calculate the remainder when n is divided by r.
2
Suppose -a + 34 = 3*i + a, 14 = 2*i - 3*a. Let t = -23 - -42. Calculate the remainder when t is divided by i.
9
Let x(z) = 2*z**3. Calculate the remainder when x(3) is divided by 11.
10
Let w = -72 - -100. Calculate the remainder when w is divided by 17.
11
Suppose 3*v - 115 + 37 = 0. Calculate the remainder when v is divided by 14.
12
Let l(a) = -a**3 + 12*a**2 - 10*a + 5. Calculate the remainder when l(10) is divided by 18.
15
Let x = -17 + 23. What is the remainder when 2/x + 2170/42 is divided by 14?
10
Calculate the remainder when 103 is divided by 29 + (9/3 - 6).
25
Suppose -3*h + 128 = h. Let f(z) = -z**3 + 3*z**2 - 8*z + 3. Let u be f(6). What is the remainder when h is divided by (1/3)/((-3)/u)?
15
Let w be 5*(6/10 - 0). Let x = w + -3. Suppose -3*m - 119 = -x*z - 5*z, -5*m = 5*z - 95. Calculate the remainder when z is divided by 6.
4
Suppose -2*s = 2*s - 68. Let y = 152 + -103. Suppose 0*p = -p + y. Calculate the remainder when p is divided by s.
15
Suppose 4*u - 7 = -2*l - 3, l + 4*u = 0. Suppose -l*x + 2*x = -12. What is the remainder when 22 is divided by x?
4
Suppose 5*a - 4*n = 25, a + 2 = -n - 2. What is the remainder when a is divided by 11/(-22) - (-3)/2?
0
Let o = 50 + -37. What is the remainder when 31 is divided by o?
5
Let f(g) = 35*g**2 + g. Suppose 3*x + 2*x + 5 = 0. Calculate the remainder when f(x) is divided by 12.
10
Suppose 3*c + 4 = t - 6, 5*t = -5*c - 30. Let o(p) = -3*p - 1. What is the remainder when o(t) is divided by 4?
1
Suppose 5*k - 48 + 3 = 0. Calculate the remainder when 33 is divided by k.
6
Let p(a) = a**3 - 3*a**2 - 3*a + 14. What is the remainder when 61 is divided by p(4)?
7
Let b(c) = -c**2 - 5*c + 4. Let d be b(-6). Let y(z) = 6*z**2 - z - 1. Let i be y(d). Let s = i - 18. What is the remainder when s is divided by 4?
3
Suppose -4*s + 118 = -54. What is the remainder when s is divided by 15?
13
What is the remainder when 0/(-1) + 15/(-10)*-10 is divided by 9?
6
Let q be (-15)/(-6) + (-2)/4. Suppose -q*x + 3 = -3*x, 3*p - 4*x - 63 = 0. Let v(g) = 15*g + 4. What is the remainder when v(3) is divided by p?
15
Suppose 9*y + 36 = 8*y. What is the remainder when 70 is divided by (y/(-10))/((-13)/(-65))?
16
Suppose -5*j - 20 = 0, -j + 35 + 6 = -3*n. Let s = n - -18. What is the remainder when s is divided by (2 - 1) + 2/2?
1
Let y be (-4)/18 - 35/45. Let p(l) = -l**3 + l**2. Suppose 0 = f + 4*f - 10. What is the remainder when f is divided by p(y)?
0
Suppose 3*s - 12 = 18. Suppose s*y = 14*y - 60. What is the remainder when y is divided by 4?
3
Let n(l) = 3*l**3 + 3*l**2 - 5*l - 91. Let t(v) = v**3 + v**2 - 2*v - 45. Let c(a) = 2*n(a) - 5*t(a). What is the remainder when c(0) is divided by 11?
10
Let c(i) = -47*i. Suppose 0 = 4*d + 8 - 24, -3*t - 4*d + 64 = 0. What is the remainder when c(-1) is divided by t?
15
Let p = 66 + -24. Calculate the remainder when p is divided by 11.
9
Let s(v) = -21*v**3 - 3*v**2 - v - 1. What is the remainder when s(-2) is divided by 40?
37
Let u(m) = -m**3 - 4*m**2 + m - 5. What is the remainder when 27/(-6)*56/(-6) is divided by u(-5)?
12
Suppose 4*h + l = -h + 23, 5*h + 3*l = 19. Let m(o) = -o**2 + 5*o + 7. Suppose 0 = -5*w + 16 + 4. Calculate the remainder when m(h) is divided by w.
3
Suppose 2*f = -4, 0*x + 10 = 4*x + f. Suppose 2*s - 3*u = -2*s + 24, -3*s - x*u + 18 = 0. What is the remainder when 11 is divided by s?
5
Suppose 5*u - 28 = -8. Suppose 5*t + g - 49 = 0, -5*g = -2*t - 0*g - 2. Calculate the remainder when t is divided by u.
1
Suppose -3*l - 16 = -5*l + 2*m, 0 = 2*l - 3*m - 13. Calculate the remainder when l is divided by 6.
5
Suppose 0 = -4*r, -4 = -h + 2*h + 3*r. What is the remainder when 4 is divided by -3 - (-1 + h)*1?
0
Suppose 3*u + 113 = 7*u + 3*n, u + n - 27 = 0. What is the remainder when 93 is divided by u?
29
Let h(v) = -8*v - 4. Calculate the remainder when 58 is divided by h(-3).
18
Let x = -10 + 38. What is the remainder when x is divided by 8?
4
Suppose -5*t + 221 = 4*w, -3*t - t + 2*w + 182 = 0. Suppose -2*s - d + t = -s, 4*s - 5*d = 135. What is the remainder when s is di