ed by k(5).
8
Let r(h) = -h - 12. Let c be r(-9). Let x(l) = -2*l**3 - 3*l**2 + 2*l - 2. What is the remainder when 56 is divided by x(c)?
18
Let k(h) = -2*h - 7. Let y(m) = m**2 + 7*m - 13. Let g be y(-9). Suppose -2*o + 18 = -g*o. Calculate the remainder when 13 is divided by k(o).
3
Let v(p) = p**2 + 1. Let r = -2 - -5. Calculate the remainder when 38 is divided by v(r).
8
Let x(v) = 3*v**3 + 8*v**2 - 9. Let s(y) = -8*y**3 - 24*y**2 + 27. Let j(h) = 4*s(h) + 11*x(h). What is the remainder when 60 is divided by j(8)?
6
Suppose -h = -6*h - 30. Suppose -6*g + 2*g = -52. Let j = g + h. Calculate the remainder when 19 is divided by j.
5
Let t = -27 + 38. Suppose 2*w - w - 1 = 0. Let f(j) = 6*j. Calculate the remainder when t is divided by f(w).
5
Calculate the remainder when 70 is divided by 46/4 + (4 - 35/10).
10
Suppose -j - 4 = -4*l, 5*l - 4*j + 5 = -1. Let m(b) = l*b + b**2 + 5*b + 10 - 6. What is the remainder when 7 is divided by m(-7)?
3
Let c = -5 + 7. Suppose -4*n + 2 = -2. Suppose 0 = -3*v - 0*v + r + 2, 3*v - 2*r - n = 0. Calculate the remainder when c is divided by v.
0
What is the remainder when 46 is divided by ((-6)/18)/((-1)/36)?
10
Let c be (-2 - 0)*(-6)/(-4). Let i be 1/c - (-30)/9. Calculate the remainder when (2/i)/(8/60) is divided by 3.
2
Let p = 1 - -2. Suppose -p*j + 4*m = -510, -7*m - 680 = -4*j - 2*m. What is the remainder when 1/(-4) + j/8 is divided by 11?
10
Suppose -3*k - 12 = -0*k + n, 4*k + 27 = -5*n. Let c = k + 4. Calculate the remainder when (-3)/(-2) - (-1)/2 is divided by c.
0
Let d = -10 + 29. Calculate the remainder when d is divided by 5.
4
Suppose -35 = -2*g + g. What is the remainder when g is divided by 240/(-72)*18/(-5)?
11
Suppose 7*x - 480 = -130. Let n = 0 + 2. Suppose -n*f = -4*m + x, m + 5*f = -m + 31. Calculate the remainder when m is divided by 7.
6
Suppose -4*t = 3*y - 20, 4*y - t = -0 + 14. What is the remainder when y is divided by 3?
1
Let p = 5 - 2. Suppose -p*b + 1 + 2 = 0. What is the remainder when 26 is divided by 1/1 + 12 + b?
12
Let a = 3 + 0. Suppose -4*o = -o - 6. Suppose -6 = -y - o*y. Calculate the remainder when a is divided by y.
1
Suppose 2*g - m = m + 124, 0 = -2*m + 8. Calculate the remainder when g is divided by 34.
32
Suppose 2*t - 46 = 4*t. Let q = t - -44. What is the remainder when q is divided by 11?
10
Let s be (3/(-9))/(2/(-12)). Suppose s*y = 4*y - 58. What is the remainder when y is divided by 10?
9
Let p(r) = 35*r**3 - r. Calculate the remainder when p(1) is divided by 18.
16
Let y = -6 - -10. Suppose y*o - 240 = -2*o. Calculate the remainder when o is divided by 21.
19
Suppose 0 = 25*t - 23*t - 20. Suppose 5 = 2*c - 2*w + 1, 3 = -3*w. Suppose -3*h = -53 - c. What is the remainder when h is divided by t?
8
Suppose -3*z + 73 = -5*a - 0*a, -2*a = 4*z - 80. Calculate the remainder when 186 is divided by z.
18
Suppose 9 = -4*x + 29. What is the remainder when 19 is divided by x?
4
Let r = 47 + -30. Suppose 5*d - d - 4*y = 32, -1 = -y. What is the remainder when r is divided by d?
8
Let s be -3*((-6)/9 + 2). Let a be (-78)/s + 1/2. Calculate the remainder when 22 is divided by (48/a)/((-2)/(-10)).
10
Let r = -10 - -6. Let v be 3 + (r - -2) - -2. Suppose v*d - d = 74. Calculate the remainder when d is divided by 13.
11
Suppose -100 = -5*m - 2*h, 4*m - 4*h = 2*m + 40. Calculate the remainder when 1 - 0 - (0 + -58) is divided by m.
19
Let l = 42 - 1. What is the remainder when l is divided by 15?
11
Let u = 15 + 62. What is the remainder when u is divided by 21?
14
Let s(i) = 6*i**2 + 7 + 67*i - i**3 - 67*i. Let m(l) = 5*l**2 + 2*l - 1. Let t be m(1). What is the remainder when 19 is divided by s(t)?
5
Suppose -3*p - w + 2 = 0, -3*p - 5*w - 6 - 8 = 0. Suppose 4 + 18 = p*j. Calculate the remainder when 31 is divided by j.
9
Suppose -5*u + 4*q - 3*q + 42 = 0, 0 = 3*u + q - 22. Suppose 4*l + 29 = b + l, 6 = 2*l. Calculate the remainder when b is divided by u.
6
Suppose 15 = -2*m - m. Let d = m + 8. What is the remainder when d is divided by 2?
1
Let d(v) = v - 2. Let p be d(5). Let t(z) = -p*z - 2 + 2. What is the remainder when t(-6) is divided by 10?
8
Suppose -x - 2*x + 57 = 0. What is the remainder when x is divided by 11?
8
Let k(h) = 2*h**3 + 1 - 10*h**2 + 3*h + 3*h**2 + 3*h**2. Let s(o) = -o - 2. Let q be s(-5). What is the remainder when k(q) is divided by 10?
8
Suppose -4*s + 3*s = -2. Let x(l) = 1 - 5 - l**2 - 6*l + s. What is the remainder when x(-3) is divided by 4?
3
Suppose 0 = -2*q - 0*q + 4. Let z = 76 + 4. Suppose -26 = -2*o + b, z = 7*o - q*o + 5*b. Calculate the remainder when 41 is divided by o.
13
Suppose -10 = -4*i + 2. What is the remainder when 4 is divided by 2 + (-6)/i - -2?
0
Suppose 7*i = 184 + 173. What is the remainder when i is divided by 19?
13
Let u = 96 + -156. What is the remainder when ((-48)/20)/(9/u) is divided by 6?
4
Let m = -24 - -35. Calculate the remainder when 41 is divided by m.
8
Suppose -34 = -r - 15. Let g(a) be the third derivative of 2*a**4/3 + 2*a**3/3 - 4*a**2. Calculate the remainder when g(2) is divided by r.
17
Suppose -4*t - 3*z = -t - 15, -3*t + 15 = -3*z. Let j(p) = p**3 - 4*p**2 - 5*p - 4. Let y be j(t). Let k = 28 + y. What is the remainder when k is divided by 9?
6
What is the remainder when 97 is divided by (-3)/((-3)/(-11))*-3?
31
Let g(b) = 2*b + 2*b - 11*b**3 + 1 + 10*b**3 - 5*b**2. What is the remainder when 38 is divided by g(-6)?
12
Suppose 3*f - 6 = 6, 3*f = 3*o. Suppose -5*q = -o*g + 77, 5*q - 107 = -3*g - g. What is the remainder when g is divided by 13?
10
Suppose -561 = 70*w - 73*w. Calculate the remainder when w is divided by 19.
16
Let l = 16 + 21. What is the remainder when l is divided by 10?
7
Suppose -4*i + 160 = -168. What is the remainder when i is divided by 21?
19
Let p(x) = x**2 + 17*x + 1. What is the remainder when 54 is divided by p(-18)?
16
Suppose -q + 2*q - 2 = 0. Suppose b = -2*z - 2, -z - 3*z - 3*b = q. Calculate the remainder when 23 is divided by (3 + 3)/((-1)/z).
11
Calculate the remainder when 178 is divided by (-345)/(-46)*24/10.
16
Suppose 0 = 3*v - 194 + 11. Suppose 4*u - 20 = -5*m, 10 = m - u - 3. What is the remainder when v is divided by 180/m + (-3)/2?
19
Suppose 20 = 9*d - 7. Let c = 15 - 9. What is the remainder when c is divided by d?
0
Let i(s) = 3*s**2 - 1. Suppose 3*a - 2*v - 3 = v, -5*v - 7 = -4*a. Let k = a + 3. What is the remainder when i(k) is divided by 2?
0
Suppose 4*b = -3*h + 94, -2*b + 3*h = -7*b + 116. Calculate the remainder when 25 is divided by (-18)/9 + b/2.
7
Let d = 22 + -20. Suppose 0 = 3*c - 9, 7*m + 2 = 2*m - c. What is the remainder when d is divided by 4/2 + (-1 - m)?
0
Let y be (-8 + 2)/(3/(-2)). Suppose 0 = -y*d + 8, 2 = 5*q - 2*d - 19. Suppose 12*s - 108 = 3*s. What is the remainder when s is divided by q?
2
Let j(v) = 2*v**2 + v + 1. Calculate the remainder when j(-4) is divided by 10.
9
Let n be 4/20 + 32/(-10). What is the remainder when n - 114/(3 + -6) is divided by 19?
16
Suppose 0 = -3*i + i + 10. Suppose 3*r - 4*y = -0*y + 39, -19 = -2*r + i*y. Calculate the remainder when 67 is divided by r.
16
Let j(y) = -2*y**2 - 38*y - 21. Calculate the remainder when 93 is divided by j(-17).
46
Let w = 96 - 57. Suppose 3*x = 3*y + 2*y - 64, 68 = 5*y - x. What is the remainder when w is divided by y?
11
Let b(c) = 14*c**2 + 3*c + 2. Let j = 53 - 2. Calculate the remainder when j is divided by b(-1).
12
Let q(s) = 8*s**2 - s - 3. Let a = -3 + 7. Suppose 70 = 4*w + 5*p, -w - 2*w + 37 = -a*p. Calculate the remainder when q(2) is divided by w.
12
Let p = 15 - 2. Let x(a) = a**2 - 5*a. What is the remainder when x(-4) is divided by p?
10
Let o(j) = j**2 + 3*j + 44. Calculate the remainder when o(0) is divided by (1 - 0) + -3 - -17.
14
Let g = 11 - 4. Let l = -8 + 28. What is the remainder when l is divided by g?
6
Suppose -t = -2*t + 17. Suppose -5*l + 4*l + 1 = 0. Calculate the remainder when (-1)/(l*1/(-49)) is divided by t.
15
Suppose 0 = -3*v - 2*k + 16, v - 3*k + 5*k = 8. What is the remainder when 14/(-8)*(4 + -12) is divided by v?
2
Suppose -3*t + o = -170, -o - 134 = -4*t + 94. Suppose -t = 4*x - 22. What is the remainder when 13 is divided by (-47)/x + 4/(-18)?
3
Let c = 73 + -57. Calculate the remainder when 58 is divided by c.
10
Suppose 