e w*o = -5 - 0. Let z(c) = -21*c**3 + c**2 + c + 1. What is the remainder when z(o) is divided by 8?
6
Let h = 8 - 6. Suppose 9 = h*t - o + 2, t - 2*o - 2 = 0. Suppose -2*c - c = -30. Calculate the remainder when c is divided by t.
2
Let h(a) = a**3 - 9*a**2 + 9*a - 6. Let v be h(8). Suppose z - 2*z + 23 = v*o, 4*o + 3*z = 43. Calculate the remainder when -2 + 2/(-2) - -41 is divided by o.
12
Let q(f) = 61*f + 25. Let g(t) = -12*t - 5. Let n(j) = 11*g(j) + 2*q(j). Let p = -4 + 13. What is the remainder when n(-3) is divided by p?
7
Suppose 3*p = -14 + 68. Suppose -4*f = -4*a - 0*f + 24, 0 = -5*a - 3*f + 62. What is the remainder when p is divided by a?
8
Suppose 0 = o + 7 - 2. What is the remainder when (-96)/(-10) + (-2)/o is divided by (-1)/(-1) + (3 + -5 - -4)?
1
Suppose 3*h + 4*c - 14 = 0, -4*c + 2 = 3*h - 2*h. Suppose u - 97 = 4*g, -3*g + 70 = -h*g - 2*u. Let f = -9 - g. What is the remainder when 29 is divided by f?
14
Let s(n) be the third derivative of -2*n**2 - 1/60*n**5 + 2/3*n**3 + 0 + 0*n - 7/24*n**4. What is the remainder when 18 is divided by s(-6)?
8
Let d(m) = 23*m**2 + 3*m + 2. What is the remainder when 65 is divided by d(-1)?
21
Let s = 63 - -67. Suppose -5*x - s = -10*x. Calculate the remainder when 75 is divided by x.
23
Let z(y) = y**3 - 4*y**2 + 5*y - 2. Let g be z(3). Suppose 4*p - g*c = 68, 2*p + 2*c + 31 = 85. What is the remainder when p is divided by 6?
4
Let k(q) = q**2 + 3*q + 7. Suppose -7*j + 2*j + 65 = 0. What is the remainder when j is divided by k(0)?
6
Suppose 8 - 5 = m. Suppose m*i = 2*j + 11, -51 = -4*i - 5*j + 2. What is the remainder when 19 is divided by i?
5
Let q = -46 + 73. What is the remainder when q is divided by 15?
12
Let z(s) = 2*s**2 + 2*s - 5. Suppose -128 = -3*u + f - 5*f, -5*u + 3*f = -165. Calculate the remainder when u is divided by z(-4).
17
Suppose 4*h - 4*x - 21 - 571 = 0, 0 = 2*h + 2*x - 276. What is the remainder when h is divided by 29?
27
Suppose 2*h - 5*h + 9 = 0, 0 = -v - h - 21. Let m = v - -38. Calculate the remainder when 25 is divided by m.
11
Suppose -h - 7 - 5 = -5*j, 0 = 3*j + 5*h - 24. Let k be (-2)/j + (-202)/(-6). Suppose 0*z = -3*z + k. Calculate the remainder when 42 is divided by z.
9
Let k(z) = z**2 - 2*z - 6. Calculate the remainder when (2 - 0) + 0 - -13 is divided by k(-3).
6
Suppose -74 = -2*q + 92. What is the remainder when q is divided by 17?
15
Let a = -28 - -88. What is the remainder when a is divided by 16?
12
Let s = 28 + -4. Suppose 4*r + 0*r = s. What is the remainder when 22 is divided by r?
4
Suppose 0 = 10*w + 640 + 120. Suppose 4*p = 5*f - 465, 0 = -0*p - p - 2*f - 100. Let g = w - p. Calculate the remainder when g is divided by 18.
16
Suppose -3*y = -3*c + 16 + 2, -20 = 5*y. Let h(a) = -2*a - 2 + 2 + 2 + 3*a**2. Calculate the remainder when h(c) is divided by 4.
2
Suppose -328 + 13 = -15*b. Calculate the remainder when 60 is divided by b.
18
Suppose 8 + 12 = -5*u, -50 = -2*n - 2*u. What is the remainder when n is divided by 10?
9
Let p(r) = -r - 1. Suppose 1 = -3*n + 7. Suppose -n*u = u + 24. What is the remainder when p(u) is divided by 4?
3
Calculate the remainder when (3 - (3 - -1))*-102 is divided by 26.
24
Let x(l) = l**3 + 11*l**2 - 2*l - 1. Calculate the remainder when x(-11) is divided by 6.
3
Let r = 62 + -41. What is the remainder when r is divided by 8?
5
Suppose -5*d - 17 - 18 = 0. Let q = -4 - d. What is the remainder when 3 is divided by q?
0
Let p = -62 - -75. What is the remainder when p is divided by 8?
5
Let s(t) = -t**3 + 2*t**2 + 2*t - 3. What is the remainder when 179 is divided by s(-3)?
35
Let t = 108 + -62. Calculate the remainder when t is divided by 12.
10
Let t(c) = 16*c**2 + 2*c + 1. Let q = -49 - -70. Calculate the remainder when t(-2) is divided by q.
19
Suppose 15 = 5*u - n, -4*n = -5*u - 9*n + 45. Suppose -5*o = -3*r - 32, 2*o + u*r = -4 - 4. What is the remainder when 5 is divided by o?
1
Let n be (-2)/(-2) - (-2 - 0). Suppose -4*j = -n*j - 29. What is the remainder when j is divided by 15/(-6)*-1*6?
14
Suppose -18 = -2*p - 0*p. Calculate the remainder when p is divided by 3.
0
Let o(z) = -4*z**2 - z - 1. Let r be o(-2). Calculate the remainder when 23 is divided by 4/6*(-3 - r).
7
Suppose 0 = 4*f + u + 52, 0 = -2*u - 4 + 12. Let g = -7 - f. Suppose 48 = 3*b - 4*n, -6*b + 2*b + 60 = -4*n. Calculate the remainder when b is divided by g.
5
Suppose 0 = -4*d + 27 - 11. What is the remainder when (-4)/(-10) - (-123)/5 is divided by 78/d*4/6?
12
Suppose 0 = 8*w - 127 - 161. Calculate the remainder when w is divided by 20.
16
Suppose k - 2 = 3*a, 2*k - 71 = -k - 4*a. Suppose -2*g - d + 102 = 0, -2*d = -6 - 2. Calculate the remainder when g is divided by k.
15
Let x(v) = v**3 + 10*v**2 + 8*v + 22. What is the remainder when 91 is divided by x(-9)?
29
Let l = -22 + 73. Let h be (0 + -709)*-1 - 1. Calculate the remainder when l is divided by h/27 + 2/(-9).
25
Suppose -4*q - m + 8 = 0, m + 10 = 2*q - 0. Suppose -5*a = -q*a - 16. Calculate the remainder when 15 is divided by a.
7
Let p(t) = 12*t**3 + t. Suppose -4*r = -3*r - 7. What is the remainder when p(1) is divided by r?
6
Let i(x) = -4*x - 3. Let v(g) be the first derivative of g**2/2 + 20*g - 6. What is the remainder when i(-6) is divided by v(-9)?
10
Let x be (-1)/(-4) + 15/(-12). Let o = 1 + x. Suppose -3*b + 6 = -o*b. What is the remainder when b is divided by 1?
0
Calculate the remainder when 36 is divided by 19/(-57)*1*-30.
6
Suppose 6*l = 5*l - 2*c + 22, 4*l - 5*c = 75. Calculate the remainder when 29 is divided by (-1)/(l/8)*-20.
5
Let f(v) = -7 - 1 + 5*v + 7. Let i be f(1). Suppose 0 = -2*r + 2*u + 38, -i*r - 32 = -2*u - 100. What is the remainder when r is divided by 8?
7
Let d(n) = n**2 + 10*n + 37. What is the remainder when d(-12) is divided by 33?
28
Calculate the remainder when 26 is divided by -1 + (6 - -4) + 1.
6
Calculate the remainder when 1/(3/(-126))*(-2)/4 is divided by 15.
6
Let z be ((-3)/3)/((-1)/(-9)). Let c = 31 + z. Suppose -54 = -4*p - 4*s + 2*s, 4*s = -p + 24. What is the remainder when c is divided by p?
10
Let y = -4 - -7. Suppose -3*a + a + 5*b + 12 = 0, -56 = -y*a - 2*b. Calculate the remainder when 63 is divided by a.
15
Suppose -9*u + 450 = -4*u. Let j = u - 40. What is the remainder when j is divided by 13?
11
Suppose 2*g - 5*a + 40 = 7*g, 0 = 2*a + 8. Calculate the remainder when 38 is divided by g.
2
Suppose y + 3*t + 3 = 5*t, y + 6 = 3*t. Suppose 0 = 2*f + 5*a - 53, -7*a + y*a - 148 = -4*f. Calculate the remainder when f is divided by 9.
7
Let s(k) be the second derivative of -k**5/20 - k**4/2 - 7*k**3/6 - 7*k**2/2 + 5*k. What is the remainder when 10 is divided by s(-5)?
1
Let o = -2 + 6. Let k = 6 - o. Let j = k - -9. Calculate the remainder when 21 is divided by j.
10
Let p be 36/27*(-3)/2. Suppose 0 = n - 3*n + 2. Calculate the remainder when (-12)/(-3) + -1 + p is divided by n.
0
Suppose 15 + 105 = 5*m - b, b = 4*m - 97. Let j(i) = 2 + 4*i + i + 0*i. Calculate the remainder when m is divided by j(2).
11
Let r = 30 + 10. Suppose 3*k - z - 64 = 0, r = 3*k + 2*z + 3*z. Calculate the remainder when k is divided by 7.
6
Let c = 12 + -1. What is the remainder when 30 is divided by c?
8
Let o be (106/4)/((-3)/(-6)). Calculate the remainder when 1*o + 7/(-7) is divided by 18.
16
Suppose b = 5*b - 4. What is the remainder when -2 + 2 + 2 + -1 is divided by b?
0
Let t = 186 + -54. What is the remainder when t is divided by 19?
18
Let d = -25 - -39. What is the remainder when 66 is divided by d?
10
Let u(w) = 37*w**3 + w**2 - 1. Let z be u(-1). Let v = 53 + z. What is the remainder when v is divided by 6?
4
Let d = -24 + 38. Suppose 3*u - 8*u = 2*n - 17, 3*u = 4*n + 5. Calculate the remainder when 1/((-2)/((-246)/u)) is divided by d.
13
Let f(k) = -1. Let y(r) = -r + 4. Let j(w) = -5*f(w) - y(w). Let s(g) = g + 7. Let z be s(-5). Calculate the remainder when 8 is divided by j(z).
2
Suppose 0 = -2*z + b + 16, 3*z = b + 15 + 8. Let t(o) = o**3 - 3*o**2 - 2*o + 4. Calculate the remainder when t(4) is divided by z.
5
Let t be 20/9 + (-4)/18. Suppose -4*o + t*o = -24. Calculate the remainder when 22 is divided by o.
10
Suppose -2*b + 5*u = -b - 56, 56 = b - 2*u. Let a(m) = m**3 + 2*m**2 + m + 1. What is the remainder when b is divided by 