the third derivative of -c**5/60 - c**4/3 + 5*c**3/6 - 5*c**2. Suppose 0*n + 4*n = -16. What is the remainder when 41 is divided by d(n)?
20
Let j = -6 + -2. Let w = -19 - -54. What is the remainder when w is divided by j/36 - (-110)/9?
11
Let z be 0/(-2) + -2 + -5. Let x(n) = -n + 3. Calculate the remainder when 18 is divided by x(z).
8
Suppose -5*m = -m - k - 287, -98 = -m - 5*k. Suppose 5*h = 157 + m. Calculate the remainder when h is divided by 12.
10
Let i = 44 + -86. Let b = i - -77. What is the remainder when b is divided by 9?
8
Suppose -3*c = 5*i - 4*c - 308, 0 = i - 3*c - 70. Calculate the remainder when i is divided by 11.
6
Suppose -66 = -4*u + 2*q, 3*u + 0*q - 54 = -3*q. What is the remainder when u is divided by 4?
1
Suppose w = 4*u - u + 5, -4*w + 20 = 3*u. Suppose u*h = 4*h - 4. What is the remainder when 2 is divided by h?
0
Let h be (2 - (-12)/(-3))/(-1). Suppose -11 = -h*x + 5. Calculate the remainder when x is divided by 3.
2
Let s(d) = d**3 - 10*d**2 + 5*d + 13. Let v be s(9). Let w = v - -61. What is the remainder when w is divided by 14?
10
Calculate the remainder when 28 is divided by -16*(2 - 3) - (-1 - 2).
9
Let y(v) = v + 14. Suppose -2*x + 3*h - 7 - 1 = 0, -4*x = -3*h + 22. Calculate the remainder when y(x) is divided by 2.
1
Let p be (-36)/(-15)*(-145)/(-2). Suppose -3*g + 41 = f, -2*g + 38 = -4*f + p. Calculate the remainder when f is divided by 12.
11
Let l(n) be the third derivative of -n**6/120 - n**5/30 + n**3/6 + 8*n**2. Let q be 2/9 + 40/(-18). What is the remainder when 2 is divided by l(q)?
0
Suppose 3*s = -2*f + 32, -5*f + f = 5*s - 52. Suppose -s + 52 = 5*n. What is the remainder when 13 is divided by n?
5
Suppose 0 = -2*h + 12 + 2. Suppose 2*a = 4 + 4. What is the remainder when h is divided by a?
3
Suppose 0*j - 5*b = -j + 15, -2*b = 4. Let a(f) = 3*f**2 - 7*f + 4. Let y(z) = -z**3 - z**2 + z + 15. What is the remainder when a(j) is divided by y(0)?
14
Let l(s) = -s**3 - 11*s**2 - 15*s - 25. What is the remainder when 73 is divided by l(-10)?
23
Let o(p) = -p + 7. Let l be o(7). Suppose l = -n - 2*n + 3. Calculate the remainder when 2 is divided by n.
0
Suppose g = -5, 67 = -0*a + 4*a + g. Suppose r - 65 + 12 = 0. Calculate the remainder when r is divided by a.
17
Let b(g) = -g**2 + 4*g + 3. Let y = -10 + 14. Let n be b(y). Suppose 0 = n*j - 124 - 5. Calculate the remainder when j is divided by 15.
13
Calculate the remainder when 106 is divided by -12*14/(-3) - 2.
52
Let m = 47 - 81. Let u = 47 + m. Let d(b) = 51*b**3 - 3*b**2 + 2*b. What is the remainder when d(1) is divided by u?
11
Let s(y) = -13*y + 8. What is the remainder when s(-5) is divided by 25?
23
Let y = -22 - -47. Calculate the remainder when y is divided by 13.
12
Let c = 49 - 36. Calculate the remainder when (2 + 0 - -24) + -2 is divided by c.
11
Let b(n) = -n**3 - 6*n**2 - n - 1. Suppose 2*g - 28 = -2*g. Calculate the remainder when g is divided by b(-6).
2
Let k be 1164/30 - (-1)/5. Let x = -22 + k. Calculate the remainder when 48 is divided by x.
14
Let g = 8 - 3. Let h(v) = v + 4. Let j be h(7). Let p = j - g. What is the remainder when 17 is divided by p?
5
Let h = -199 + 297. What is the remainder when h is divided by 33?
32
Suppose 61 = 4*j - 3*m, -5*j - 2*m + 14 + 45 = 0. Calculate the remainder when 50 is divided by j.
11
Let w(z) = 14*z**3 - 2*z**2 + z. Calculate the remainder when 23 is divided by w(1).
10
Suppose -82 = -13*d + 11*d. Let g = -31 - -45. What is the remainder when d is divided by g?
13
Suppose b - 4*b - 12 = 0, -4*f = 3*b - 56. Suppose 20 = 5*m - 7*x + 2*x, 0 = -5*m - x + 20. What is the remainder when f is divided by m?
1
Let u = 19 - -211. Suppose 0 = 5*k + 65 - u. What is the remainder when 129 is divided by k?
30
Let a = -3 - -12. Let h = -24 - -58. Suppose -c + h = c. What is the remainder when c is divided by a?
8
Let w be (-1)/(-3)*0 + 0. Suppose 3*r - 253 = -4*t, -t + w*t - r + 64 = 0. What is the remainder when t is divided by 21?
19
What is the remainder when (-2)/12 + 770/12 is divided by 22?
20
Let w = 12 + -8. Suppose w*b - 18 = -3*o, 5*o + 13 = 5*b + 43. Let n(m) = m**2 - 3*m + 7. Calculate the remainder when n(5) is divided by o.
5
Let c = -54 - -86. Suppose -3*o = 9, o - 39 = 3*y + 4*o. Let g = y + 27. Calculate the remainder when c is divided by g.
15
Let i = 28 - 19. Calculate the remainder when 15 is divided by i.
6
Let g be 39/9 - (-3)/(-9). Suppose 0*p + 66 = 4*p + 2*h, -62 = -3*p - g*h. What is the remainder when 26 is divided by p?
12
Let j(s) = 4*s - 8. What is the remainder when j(11) is divided by 11?
3
Let b(d) = -d + 1. Let k be b(-2). Let g(n) = n - 4. Let l(z) = 3. Let c(o) = k*g(o) + 4*l(o). What is the remainder when c(4) is divided by 7?
5
Let f(j) = 4*j**2 - 2*j + 3. Let m be f(2). Let g = 19 - 22. Let r = m + g. What is the remainder when r is divided by 7?
5
Let d = 67 + -9. Calculate the remainder when d is divided by 15.
13
Let z(c) = -c**2 - 9*c - 7. Calculate the remainder when z(-5) is divided by 7.
6
Suppose 2*f - f - 71 = 0. Calculate the remainder when f is divided by 12.
11
Suppose -4 = 2*f - i, -2*f - f - 15 = 3*i. Let b be 32/12*f/(-2). Suppose -3*j = b*y - 100, 5*y - 33 = -j + 15. Calculate the remainder when j is divided by 15.
13
Suppose -3 = -2*a - 1. Suppose a = -2*y - 0*s + s, 2*s - 6 = 2*y. Suppose -3*i + 13 = y*v, -i - 4*v = -4*i + 19. What is the remainder when i is divided by 3?
2
Let d = -15 + 15. Suppose d = -f - 4, 0 = -2*j + 3*f + 21 + 45. Calculate the remainder when 105 is divided by j.
24
Let g = -17 - -36. What is the remainder when g is divided by 11?
8
What is the remainder when (160/(-15) + 1)*-3 is divided by 11?
7
Let t = 72 - 57. What is the remainder when 87 is divided by t?
12
Let z(h) = 4*h**2 + 3*h + 2. Suppose 2*x + 0*x = -4. What is the remainder when 34 is divided by z(x)?
10
Suppose -d + 9 = -3*a, -4*d + 42 = -a + 6. Let y(j) = j**2 - 2*j + 2. Let u be y(2). Let k = 5 - u. What is the remainder when d is divided by k?
0
Let m(c) = 4*c**2 - c - 2. Let r be (24/10 - 2)*10. Calculate the remainder when m(r) is divided by 15.
13
Calculate the remainder when (-252)/(-8) - (-3)/2 is divided by (-1 - -4)/((-2)/(-6)).
6
Suppose 2*t - 2*b = -t - 200, 5*b = -t - 61. Let r = -54 + t. What is the remainder when 4/(-2 + r/(-57)) is divided by 20?
18
Let y(b) = -13*b**3 - b**2 - b - 1. Let d be y(-1). Let k = -4 + 7. Suppose -p = -k*p + d. What is the remainder when 11 is divided by p?
5
Let a be 14/2 - 4/4. Let z = 14 + a. Suppose -5*q + 3*q + 2*l = -20, -2*q + z = l. Calculate the remainder when 19 is divided by q.
9
Let o(d) = d**3 - d + 4. Calculate the remainder when o(3) is divided by 10.
8
Suppose j = 5*j - 3*v - 133, 4*v = -4*j + 168. What is the remainder when 109 is divided by j?
35
Suppose -196 = -3*k - 64. Calculate the remainder when k is divided by 9.
8
Let g = -46 + 79. Suppose -5*s + g = -107. Let c = 13 + -3. Calculate the remainder when s is divided by c.
8
Suppose 0 = -2*c - 18 + 2. Let u be (14/c - -1)*-96. Suppose -2*f + u = f. What is the remainder when f is divided by 13?
11
Let w(x) be the first derivative of 26*x**3 - x**2 + x + 7. Calculate the remainder when w(1) is divided by 20.
17
Suppose -5*r + 2 + 3 = 0, -5*r + 20 = 3*t. Let j(o) = 3*o**2 - 6*o - 2. Calculate the remainder when j(t) is divided by 11.
10
Suppose q = -20 + 55. What is the remainder when q is divided by -5*1*(-9)/5?
8
Let c(z) = -70*z - 42. Calculate the remainder when c(-4) is divided by 60.
58
Let d = 11 - -19. What is the remainder when d is divided by 11?
8
Suppose -3*g + 5 - 66 = -5*r, 12 = 4*g. Let o = 18 - -7. Calculate the remainder when o is divided by r.
11
Suppose -47*z + 44*z = -327. Calculate the remainder when z is divided by 28.
25
Let k(a) = -a + 1. Let z be k(-2). Suppose z*s + 194 = 6*s - 2*n, -4*n = 2*s - 140. What is the remainder when s is divided by 23?
20
Suppose -u + 9 + 322 = -3*i, 2*u + 234 = -2*i. Let f be ((-3)/2)/(12/i). Let y = 23 - f. What is the remainder when 16 is divided by y?
7
Let d = 11 + 0. Calculate the remainder when 42 is divided by d.
9
Suppose -13 = 3*o + 2. Let k(h) = h**2 + 4*h + 5. Calculate the remainder when 29 is divided by k(o).
9
Let l(u) = -3*u - 19. Calculate the remainder when l(-13) is divide