72 + 54 = -3*c. Calculate the remainder when 7 is divided by c.
1
Let i(v) = -10*v - 5. What is the remainder when i(-3) is divided by 9?
7
Let g be 48/(-2)*(-3)/(-9). Let n(t) = -t**3 + 0 - 3*t**2 - 4*t**2 - 5 + 2*t. Calculate the remainder when n(g) is divided by 11.
10
Suppose -t + 2*t - 4 = 0. Suppose -107 + 375 = t*g. What is the remainder when g is divided by 23?
21
Suppose 0*b + 276 = -4*x + 4*b, 5*x + 390 = -4*b. Let u = -20 - x. Calculate the remainder when u is divided by 14.
12
Let v be 2/9 - 34/(-9). Suppose -o = -4*g + 3*o + 32, 0 = g + v*o - 23. Let y(j) = j**3 - 2*j**2 + j + 2. What is the remainder when g is divided by y(2)?
3
Let o(m) = 6*m**2 - m - 3. Calculate the remainder when 73 is divided by o(2).
16
Let w be (18 + -1)*(-2 + -1). Let f = w + 85. What is the remainder when f is divided by 12?
10
Let o be ((-1 + 1)/(-2))/1. Suppose o*g + g = 59. Calculate the remainder when g is divided by 20.
19
Let l = 3 - 1. Calculate the remainder when 25 is divided by ((-12)/(-9) - l)*-21.
11
Let d = 16 + -8. Let n = -3 + d. Calculate the remainder when 38 is divided by ((-6)/n)/((-21)/350).
18
Suppose 9 = -5*v - 2*k - 2, -4*k = 4*v + 16. Let t be (5 + v)/(6 - 4). Suppose -18 = -t*r + 8. What is the remainder when 37 is divided by r?
11
Suppose -i = -3*i + 18. Suppose 3*u - 2*u = 34. Calculate the remainder when u is divided by i.
7
Let o(t) = -2*t - 6. Let w be o(-6). Let n = 10 - w. What is the remainder when 11 is divided by n?
3
Suppose -20 = 5*k, -3*x + 3*k - 3 = -8*x. Let n = 36 + -35. Calculate the remainder when 1 is divided by (n + 0/x)/1.
0
Suppose 0*d = -d. Suppose u - 4*w + 5 + 10 = d, -w + 1 = -3*u. Let v(n) = 17*n**3 + n**2 - n. What is the remainder when 65 is divided by v(u)?
14
Let z = 88 + -53. What is the remainder when z is divided by 12?
11
Let s = -25 + 15. Let h(a) = -2*a - 4. What is the remainder when 46 is divided by h(s)?
14
Suppose -21 = -2*t + p, 5*t + p - 13 = 43. Calculate the remainder when 43 is divided by t.
10
Let q be (-2)/(-1) - (1 - 3). Suppose q*z = -12, 0*z + z = n - 9. Suppose -5*i - 55 = -3*m, 4*m - 30 = -2*i - 0. What is the remainder when m is divided by n?
4
Let c = -1 - -23. Calculate the remainder when c is divided by 12.
10
Let d = -12 - -29. Let f = -70 - -118. Calculate the remainder when f is divided by d.
14
Let b = 126 - 14. Calculate the remainder when b is divided by 23.
20
Suppose -14 = -4*r + i, -5*r + 4*i + 6 = -6. Let b be (-2)/(-3) + 2/6. Suppose c + 2*f = f - b, -5*f - 19 = -2*c. What is the remainder when r is divided by c?
0
Suppose -3 = 2*p - 7. Let i(r) = -r**3 + 6*r**2 + 1. Let s(u) = u - 1. Let y be s(7). What is the remainder when p is divided by i(y)?
0
What is the remainder when 114 - ((-4)/(-4) - -2) is divided by 38?
35
Let w(p) = -p**2 + 8*p - 1. Suppose -3 = 3*y - 0. Let b = 7 + y. What is the remainder when w(6) is divided by b?
5
Suppose 2*r + r = 45. Let q = 15 + -9. Calculate the remainder when r is divided by q.
3
Let j(r) = -2*r**3 + 3*r + 3. Suppose -5 = -0*m - m. Calculate the remainder when j(-2) is divided by m.
3
Suppose 3*w = d - 24, -4*d + 87 = 5*w - 43. Let j = 42 - d. Suppose -i = 2 - 9. What is the remainder when j is divided by i?
5
Let k = -1 - -3. What is the remainder when k is divided by ((-2)/10)/(7/(-35))?
0
Let t be (2 + (-2)/3)*9. Suppose g = 5*n - 0*g - 134, 2*n = -3*g + 57. What is the remainder when n is divided by (3 - 2) + (t - -1)?
13
Suppose -295 = q - 6*q. What is the remainder when q is divided by 16?
11
Suppose 5*k = 5*w - 165, -5*k = -2*w + 13 + 53. What is the remainder when 96 is divided by w?
30
What is the remainder when 6/30 + 84/5 is divided by 9?
8
Suppose -2*n = -2*i - 90, 2*n - 177 = -2*n + 3*i. Calculate the remainder when n is divided by 11.
9
Suppose -4*d + 3*d - 4*t = -13, d + 2*t - 17 = 0. What is the remainder when 39 is divided by d?
18
Suppose 2*l - 42 = 86. What is the remainder when 19 is divided by l/12 - 1/3?
4
Let c be (-129)/(-27) + (-2)/(-9). Let g = 1 + c. Calculate the remainder when g is divided by 4.
2
Let a(c) = 4*c - 17. What is the remainder when 34 is divided by a(9)?
15
Suppose -11 = -2*b - 3*p, 0 = -2*b - b - 4*p + 15. Suppose -2*i + d + 16 = -5, 4*d = 3*i - 44. Calculate the remainder when -46*(b + 9/(-6)) is divided by i.
7
Suppose c + 3 = 0, 4*i - 141 = 5*c + 114. Suppose 2*f + 0*f = i. Let h = 55 - f. What is the remainder when h is divided by 9?
7
Suppose -g + 2 = -2. Calculate the remainder when g/24 + (-275)/(-6) is divided by 16.
14
Let v = 53 - 27. What is the remainder when v is divided by 9?
8
Let p(c) = 9*c**2 - c - 2. Calculate the remainder when p(-2) is divided by 14.
8
What is the remainder when 39 is divided by 2*(-5)/(-30) + 44/3?
9
Suppose -4*x + 12 = p, 17*p - 2*x - 24 = 15*p. Calculate the remainder when (33/(-4))/(2/(-8)) is divided by p.
9
Let r = 33 + -19. Calculate the remainder when 27 is divided by r.
13
Suppose 277 - 1349 = -8*v. Calculate the remainder when v is divided by 17.
15
Let a = -24 - -102. Suppose -v + 5 + 15 = 0. What is the remainder when a is divided by v?
18
Let l(t) be the second derivative of 0 + 2*t + 3/2*t**3 - 2*t**2 - 1/12*t**4. Calculate the remainder when 14 is divided by l(8).
2
Let x = 85 + -30. Suppose q - 17 = 2*w, -q + 61 = 2*q + 4*w. What is the remainder when x is divided by q?
17
Let g(m) = m - 1. Let q be g(3). Suppose 0 = 2*i + 3*x + 2 - 12, 6 = i + q*x. Calculate the remainder when 9 is divided by (-15)/(-6) - (-1)/i.
0
Suppose 2*l - 31 = b, -b - 24 = 4*l - 77. Let i(n) = 8*n**3 + n - 1. Calculate the remainder when l is divided by i(1).
6
Suppose 5*b + c - 38 = -5, -5*c = -5*b + 45. Let u(y) = 2*y**2 + 3*y. Calculate the remainder when b is divided by u(-2).
1
Let b = -18 + 26. Suppose 2*r = b + 6. Calculate the remainder when 25 is divided by r.
4
Let b = 3 + -1. Suppose 2 = r - 2. What is the remainder when b is divided by (8/10)/(r/10)?
0
Let d(b) = -b**2 - 10*b. Let w be 4/(-10) - 107/(-5). Suppose o = -2*f + 7, -2*o - 2*f + w = 5. What is the remainder when d(-8) is divided by o?
7
Let o be ((-3)/2)/((-4)/8). Suppose 0 = -0*v - o*v + 21. Suppose -3*p + 5 + v = 0. What is the remainder when 6 is divided by p?
2
Calculate the remainder when 37 is divided by 242/34 - 14/119.
2
Let n = 57 + -57. Let j be -1 - 1*1*-3. Suppose r - j = -n*r. What is the remainder when 2 is divided by r?
0
Suppose -45 = f - 161. What is the remainder when f is divided by 17?
14
Let y(i) = -15*i + 70. What is the remainder when -2 - -21 - 0/2 is divided by y(4)?
9
Let v = 90 + -53. Calculate the remainder when v is divided by 10.
7
Suppose 10 = -0*i + i. Let o(x) = -3*x - 9. Calculate the remainder when o(-9) is divided by i.
8
Calculate the remainder when 34 is divided by ((-8)/(-3))/(12/54).
10
Calculate the remainder when (-35)/(-4) + (-2)/(-8) is divided by (-2)/8 - 63/(-12).
4
Let i(a) = a**2 + 4*a - 1. Let p be i(-3). Suppose 0 = -h + f + 3 + 12, -3*h - 2*f = -30. Calculate the remainder when h is divided by 3/(p - -1)*-7.
5
Let v(u) = 7*u + 1. Let i(n) be the first derivative of -n**2/2 - 6*n - 2. Let q be i(-8). What is the remainder when 44 is divided by v(q)?
14
Let b(i) = -19*i**3 - 1. Calculate the remainder when b(-1) is divided by 11.
7
Let p(k) = 5*k + 4. What is the remainder when p(5) is divided by 20/6*12/4?
9
Suppose -5*v = -5*a - 107 + 17, v - 3*a = 12. Calculate the remainder when 83 is divided by v.
20
Let a(r) = r**3 + 12*r**2 + 5*r - 12. Let s be a(-9). Suppose -s = -2*t + 78. Suppose 0 = -4*f + t + 56. Calculate the remainder when f is divided by 16.
15
Let z(d) be the second derivative of 2*d**3/3 - 3*d**2 + 3*d. Calculate the remainder when 51 is divided by z(6).
15
Let q(u) = u**3 + 6*u**2 - u - 4. Suppose 0 = -0*i + i + 6. Let g be q(i). Suppose 6*y = g*y + 40. What is the remainder when y is divided by 6?
4
Let o = 117 + -63. What is the remainder when o is divided by 12?
6
Suppose 3*f + 33 = m, -2*m + 3 = -4*f - 61. Calculate the remainder when 58 is divided by m.
28
Suppose -3*p - 3*m = -7*p - 8, -10 = 2*p - 3*m. Let o = p + 1. Let v(u) = 4*u**2 - u - 1. What is the remainder when 24 is divided by v(o)?
11
Let s(u) be the first derivative of -u**4/2 - 5*u**3/3 - 2*u**2 - 3*u - 1. Let l = -24 + 21. What is the remain