the first derivative of a**4/4 + 56*a + 2. Let v be w(0). Suppose 2*c = -2*c + v. What is the remainder when 27 is divided by c?
13
Suppose -3*v - 7 = -2*p - 5, -5*v - 3*p + 22 = 0. Suppose 0 = 5*n - 2*j - 13 - 11, j = -2. What is the remainder when n is divided by v?
0
Suppose 2*o - 2 = 4. Suppose -o*s + 4*u = -154, 0*s = -3*s - 3*u + 147. Let b(i) = 27*i**2 - 2*i + 1. Calculate the remainder when s is divided by b(1).
24
Let n = -53 + 160. What is the remainder when n is divided by 28?
23
Let h(n) be the first derivative of n**3 - n**2 + 3*n + 1. Suppose 2*c - 8 = -0. Calculate the remainder when h(2) is divided by c.
3
Let f = 51 - 45. What is the remainder when 15 is divided by f?
3
Let h(t) = 5*t**3 - 13*t**2 + 9*t - 2. Let u(q) = 3*q**3 - 7*q**2 + 5*q - 1. Let z(d) = 4*h(d) - 7*u(d). Calculate the remainder when 32 is divided by z(-4).
10
Suppose -3*a - 34 = 5. Let h = a - -25. What is the remainder when 21 is divided by h?
9
Suppose 8*r - 44 = 4*r. What is the remainder when 54 is divided by r?
10
Let j(n) = n**3 - 10*n**2 + 11*n + 8. What is the remainder when 74 is divided by j(9)?
22
Let g = 9 - 13. Let h = 0 - g. Suppose 4*y + 4*s = 80, -68 = -h*y - 0*y + 2*s. Calculate the remainder when 52 is divided by y.
16
Let h(z) = -z**2 + 7*z + 3. Suppose -5 = -y + 2. What is the remainder when h(y) is divided by 2?
1
Let z = 1 - -11. What is the remainder when 20 is divided by z?
8
Suppose -4*w = 4, 4*w = -i + 70 - 1. What is the remainder when i is divided by 26?
21
Let i be (-90)/12 + 2/(-4). Let z(w) = -w - 1. Calculate the remainder when 27 is divided by z(i).
6
Let u = 5 - 9. Let k be (-2)/(-4) + (-50)/u. Let o = k - 2. What is the remainder when 31 is divided by o?
9
Let h = -156 - -357. Let w = h + -121. Suppose -3*f + 9 = -4*p + w, -2*p - 3*f = -31. What is the remainder when p is divided by 9?
8
Let g = 33 - 23. Suppose 5*b - 2*v = 198, 4*b - 76 = 3*v + 88. What is the remainder when b is divided by g?
8
Suppose y + 4*y - 300 = 0. Calculate the remainder when y is divided by 31.
29
Let s(k) = k**2 - k + 4. Let l = -9 - -21. Calculate the remainder when 3*94*2/l is divided by s(4).
15
Suppose 0 = -5*w - o + 9, -2*o - 8 = w - 4*w. Suppose 3*d - w*d = 1. Let q = d + 4. Calculate the remainder when 8 is divided by q.
3
Let q(d) = d**2 - 5*d + 26. What is the remainder when q(12) is divided by 28?
26
Let n = 56 + -39. What is the remainder when n is divided by 2/6 + (-29)/(-3)?
7
Let s(k) = 12*k + 6. Let z(h) = 1. Let t(f) = -2*s(f) + 12*z(f). Calculate the remainder when t(-1) is divided by (15/10)/(2/36*3).
6
Let w(u) = 15*u**2 - 2*u + 1. What is the remainder when w(1) is divided by 5?
4
Let t(l) = -2*l**3 - l**2 + 2*l + 2. Calculate the remainder when (1 + 66/(-30))/(3/(-95)) is divided by t(-2).
8
Let r = 108 + -61. Let i(v) = -v + 9. Let w be i(7). Calculate the remainder when r is divided by w/4 + (-93)/(-6).
15
Suppose 4*m - 72 = 2*p - 5*p, -2*p = 0. Let u be ((-6)/m)/((-2)/(-12)). What is the remainder when 10 - (u + -1 + 1) is divided by 7?
5
Let d(n) = 11*n. Let y = 1 - 0. Calculate the remainder when d(y) is divided by ((-4)/(-5))/((-3)/(-15)).
3
Suppose 0*n = -3*n + 15. Let j(d) = d**2 - d + 1. Let s(f) = f**3 - 2*f**2 - 3*f + 3. Let q be s(2). Calculate the remainder when j(q) is divided by n.
3
Let k = 118 - 3. Suppose 0*u - 5*u - 110 = -2*i, k = 3*i + 5*u. What is the remainder when i is divided by 16?
13
Let c(w) = 8*w - 1. Calculate the remainder when c(4) is divided by (3/(-2))/((-6)/32).
7
Suppose 5 = -3*q - 1. Let a(t) be the third derivative of -t**6/120 + t**5/30 + t**4/6 + t**3/3 - t**2. What is the remainder when 28 is divided by a(q)?
8
Let u = 26 - 15. Suppose 2*d = -4*k + 5*d + 71, -3*k - 2*d = -66. What is the remainder when k is divided by u?
9
Suppose 2 + 6 = -i - 2*u, -u + 3 = 4*i. Suppose 0 = 5*a + i*f - 128 - 101, -5*a - 3*f + 226 = 0. What is the remainder when a is divided by 16?
15
Let t = -53 + 81. Let j(o) = -o + 3. Suppose -12 = 3*y + 9. What is the remainder when t is divided by j(y)?
8
Suppose 0 = -4*y - c + 29, -3*c + 2 = -1. What is the remainder when 15 is divided by y?
1
Let y = 1 - -3. Suppose 86 = y*n - 14. Suppose 6*a - c = 5*a + 11, -4*a - 2*c + 56 = 0. What is the remainder when n is divided by a?
12
Suppose 0*k - 3*k = -6. Let l = k - -1. Suppose 0*b + 90 = l*b. Calculate the remainder when b is divided by 11.
8
Suppose 0 = -l + 21 - 67. What is the remainder when (-1 - -2)*-1 - l is divided by 12?
9
Let m(y) = -y**3 - 6*y**2 - 5*y + 5. Let h = -4 - 2. What is the remainder when m(h) is divided by 9?
8
Let y(o) = -o**3 - 12*o**2 + 13. Calculate the remainder when 23 is divided by y(-12).
10
Suppose 2*x - i - 8 = 38, 2*x = -5*i + 34. Let h = x + -7. What is the remainder when 28 is divided by h?
13
Let l = 155 - 96. What is the remainder when l is divided by 21?
17
Suppose 0 = -c + 23 - 10. What is the remainder when 51 is divided by c?
12
Let d(v) be the third derivative of -v**4/24 + v**3/6 - 10*v**2. Calculate the remainder when 16 is divided by d(-4).
1
Let h = 0 + 3. Suppose 0 = -z + h - 2. Suppose d + z = 10. What is the remainder when 26 is divided by d?
8
Let y = -143 + 158. Let p(w) = -8*w**3 + 2*w**2 - 1. Calculate the remainder when y is divided by p(-1).
6
Suppose 3*j - 12*j + 333 = 0. Calculate the remainder when 108 is divided by j.
34
Let s(o) = o. Let t be s(6). Let p(d) = 0 + 1 - 5*d - 2 + d**2. What is the remainder when p(t) is divided by 2?
1
Let i(g) = 4*g**3 - 2*g**2 - 3*g + 2. Suppose 0 = f - 0*f + 4. Calculate the remainder when i(2) is divided by f*(-2 + (-6)/8).
9
Let q(u) = -3*u - 16. What is the remainder when 17 is divided by q(-7)?
2
Let x(y) = -y**3 - 13*y**2 - y - 2. Calculate the remainder when x(-13) is divided by 6.
5
Let a = -1 + 3. Let r = a + 6. Calculate the remainder when (-2 - (2 - 25)) + 1 is divided by r.
6
Suppose k - 34 = 11. Calculate the remainder when 133 is divided by k.
43
Suppose -4*p - p = -3*w - 52, 4*p + 4*w = 16. Let g(t) = -t + 1. Calculate the remainder when p is divided by g(-4).
3
Let m = 18 - 4. Calculate the remainder when 54 is divided by m.
12
Let z(c) = -4*c - 3. Suppose -5*n + 14 + 1 = 0. Let h = n + 14. Calculate the remainder when h is divided by z(-3).
8
Let a(t) = 22*t**3 - 2*t**2 + 1. Calculate the remainder when -10*(22/(-4) - -5) + 36 is divided by a(1).
20
Let h = 0 + 4. Suppose 0 = -3*y + 2*p + 19, h*y - 2*p - 2*p - 24 = 0. Let m(o) = o**3 + 2*o**2 - o + 1. What is the remainder when y is divided by m(-2)?
1
Let s(i) = -i**3 + 5*i**2 - i + 5. Let g be s(5). Let d(o) = -1 + g - 10*o + 3*o - o**2 + 8. What is the remainder when d(-6) is divided by 4?
1
Suppose -46 = -3*w + 53. Calculate the remainder when 63 is divided by w.
30
Let j be 4/16 - 11/(-4). Suppose 2*x = j*s - 42, -4*s - 4*x + 56 = -x. Suppose -4 = -5*w + u - 1, -5*u + s = 4*w. What is the remainder when 2 is divided by w?
0
Suppose 0 = -x + 38 + 1. What is the remainder when x is divided by (7*-1)/((-1)/2)?
11
Suppose -4*r = -2*g - 0*r + 4, -4*g - 3*r = -41. Calculate the remainder when 30 is divided by g.
6
Let l = 4 - 1. Suppose -27 = -3*t - l. Let k = t + -4. What is the remainder when 11 is divided by k?
3
Let x be -3*1*6/(-9). Suppose -z = 4*s - 22, -s = x*z - 22 - 8. What is the remainder when 26 is divided by z?
12
Let t be 88/32 - 1/(-4). Let y(a) = 13*a - 2. Calculate the remainder when y(t) is divided by 10.
7
Let v(f) = -40*f - 2. Calculate the remainder when v(-2) is divided by 27.
24
Let x = -3 - -1. Let h = x - -7. Suppose 5*k = -5*j + 45, -4*k + 47 = -0*j + h*j. What is the remainder when 32 is divided by j?
10
What is the remainder when ((-40)/12 + 3)*-78 is divided by 9?
8
Calculate the remainder when 17 is divided by 112/20 + 12/(-20).
2
Let m = -6 - -16. Let g = 39 - m. Let i = 50 + -35. Calculate the remainder when g is divided by i.
14
Suppose 3*l + 3*z = 12, 6 = 3*l - 3*z - 0. Suppose 0 = -l*g + 8 + 7. Suppose 4*c - 10 + 2 = 0. Calculate the remainder when g is divided by c.
1
Let z = -66 + 83. Calculate the remainder when z is divided by 7.
3
Let g(z) = 6*z + 7. What is the remainder when 361 is divided by g(1)?
10
Suppose -1 = y - 3. Let k(n) = -10*n + n**y - 3 - 7 - 2*n**2. Calculate the remainder when 20 is divided by k(-7