13
Suppose -3*f - 2*f = 45. Let g(u) = -3*u - 11. Let c(q) = 2*q**2 - 4*q - 1. Calculate the remainder when c(6) is divided by g(f).
15
Suppose c = 6*c - 70. Suppose -3*l + 9 = 0, 39 = r + 2*l - 7. What is the remainder when r is divided by c?
12
Suppose 0 = -2*h + s + 44, 4*s + 13 = -3. Let p be ((-2)/4)/(2/h). Let b = p + 30. What is the remainder when b is divided by 13?
12
Let s(p) = p**3 + 4*p**2 + 4*p - 2. Let i be s(-5). Let t = -10 - i. Calculate the remainder when t is divided by 13.
11
Suppose 0 = -5*s + 2*q + 547, -3*s + q + 157 + 172 = 0. Calculate the remainder when s*(3/9)/1 is divided by 10.
7
Let h(x) = x**3 - x**2 + 412. Let r be h(0). Suppose 289 = -3*q - 2*d - 37, 0 = -4*q + 3*d - r. Calculate the remainder when (-2)/8 + q/(-8) is divided by 7.
6
Let t(x) = x**2 - 10*x - 11. Let g be t(11). Suppose g*m + 3*m = 42. Calculate the remainder when 40 is divided by m.
12
Suppose -2*x + 17 = -3*o, 2*x = -x + 4*o + 23. Let b(k) = 6*k**3 - k**2 + k - 1. Calculate the remainder when -3 - -1 - 2 - -13 is divided by b(x).
4
Let t(p) = p**2 + 5*p - 3. Let z be t(-6). Let f = 1 + z. Suppose s = -2*u - s + 26, f*s - 44 = -3*u. Calculate the remainder when u is divided by 3.
2
What is the remainder when 43 is divided by ((-338)/(-65))/(2/5)?
4
Let m(f) = -f**3 - f**2 - 3*f + 4. What is the remainder when m(0) is divided by (0 + 0)/1 - -2?
0
Let b(j) be the first derivative of j**4/4 + 3*j**3 + 7*j**2/2 - j + 5. Suppose m = 3*m - 26. What is the remainder when m is divided by b(-8)?
6
Let h(i) = -i**3 - 10*i**2 + 6*i - 10. What is the remainder when 222 is divided by h(-11)?
42
Suppose -3*k - k = 92. Let p = 36 + k. Calculate the remainder when 50 is divided by p.
11
Suppose 4*m - u = 61, u = -4*m - 4*u + 55. Suppose 3*p + 0*p = 129. Calculate the remainder when p is divided by m.
13
Let n = -8 + 10. Calculate the remainder when n is divided by 1.
0
Suppose 0*s + 11*s = 484. What is the remainder when s is divided by (15/9)/(1/9)?
14
Let q(b) = -4*b - 7. What is the remainder when q(-7) is divided by 11?
10
Suppose 0*g + 2 = 2*g. Let h = 5 - 3. What is the remainder when h is divided by g?
0
Let j = 11 + 8. Let k be 12/3*9/6. Calculate the remainder when (-4)/k - 791/(-21) is divided by j.
18
Let q(r) = r**3 + 5*r**2 - 9*r - 9. Let m be 0 + (-5 + -1 - 0). Calculate the remainder when q(m) is divided by 5.
4
Suppose -3*x = -0 - 12. Let k = x - -1. Suppose 26 = 5*l + 3*v, k*l + 5*v - v = 23. What is the remainder when l is divided by 3?
1
Let q = 26 - 22. Calculate the remainder when 4 is divided by q.
0
Let r(p) = -p**3 + 3*p**2 + 4*p + 3. Calculate the remainder when r(-3) is divided by 12.
9
Suppose 0 = 5*n - 3 + 93. Let h be (-130)/n + (-4)/18. Let b(r) = r. Calculate the remainder when 19 is divided by b(h).
5
What is the remainder when 104/4 + (-9)/3 is divided by 13?
10
Let p be (-1)/(-5) - (-18)/10. Suppose -p*s - s + 174 = 0. Let q = s + -17. Calculate the remainder when q is divided by 14.
13
Let i(x) be the first derivative of -x**2 + 5*x + 1. Let y be i(-4). Let u = 21 - y. What is the remainder when 14 is divided by u?
6
Suppose 0 = -6*o + 5*o + 17. Calculate the remainder when 48 is divided by o.
14
Let h = -3 + 24. Let g(w) = -w + 7. Let l be g(5). Let q = l + h. Calculate the remainder when q is divided by 8.
7
Let w = -11 + 20. What is the remainder when 26 - (-2 + (0 - -2)) is divided by w?
8
Suppose 5*c = 81 + 274. Suppose -2*i + 2*y = -28, -5*i - y + 5*y + c = 0. What is the remainder when 28 is divided by i?
13
Let n = 3 + 1. Calculate the remainder when 7 is divided by n.
3
Let s(u) = -u**3 + 14*u**2 + 38*u + 19. Calculate the remainder when s(16) is divided by 40.
35
Let h = -7 + 3. Let u = h - -39. What is the remainder when 7 is divided by (-10)/u + (-30)/(-7)?
3
Let s(b) = 15*b - b + 13 - 2*b - 6*b. Calculate the remainder when s(10) is divided by (2*-5)/(2/(-5)).
23
Suppose 2*j - 40 = -0*j + 3*o, -5*j + 142 = 3*o. Calculate the remainder when 50 is divided by j.
24
Calculate the remainder when 158/6 - 4/(-6) is divided by 7.
6
Let h(t) = -6*t + 11. Let w(y) = 6*y. Let x be w(-1). Calculate the remainder when h(x) is divided by 24.
23
Let r be ((-2)/6)/(2/(-24)). Suppose h + 2 = 2*a, h - r - 2 = -2*a. Calculate the remainder when a is divided by 1*(2/(-2))/(-1).
0
Suppose x + 3*x - 16 = 0. Suppose 4*s + x = 0, 2*s - 3 = 4*j - 21. Let a(l) = 7*l + 1. Calculate the remainder when a(j) is divided by 10.
9
What is the remainder when 12/3 + 0 + 6 is divided by 6?
4
Let y(j) = j**2 - 34. What is the remainder when 119 is divided by y(-7)?
14
Let r = 8 + -3. Suppose 0 = r*g - 0*g - 15. What is the remainder when 5 is divided by g?
2
Let s = 147 - 78. Calculate the remainder when s is divided by 24.
21
What is the remainder when (-2)/6 + (-3)/((-36)/1696) is divided by 29?
25
Let m = 43 - 30. Let h = m - 1. Let i(s) = s**3 + 7*s**2 + 7*s + 7. What is the remainder when i(-5) is divided by h?
10
Suppose 0*k - 4*k - 10 = 5*s, 0 = -5*k. What is the remainder when 17*(0 + 2/2) is divided by (-1)/((s/18)/1)?
8
Let f(u) = -u**2 + u + 2. Let g be f(-2). Let o = g + 17. Calculate the remainder when 24 is divided by o.
11
Let i(h) be the third derivative of -h**5/60 + h**4/24 + 25*h**3/6 - 2*h**2. Calculate the remainder when i(0) is divided by 9.
7
Suppose 2*l + 0*o - o - 6 = 0, -l + 3*o = -8. Let u(g) = 3*g**3 - l*g**3 + 3 + g - 3*g**2 + 2*g. What is the remainder when 22 is divided by u(3)?
10
Let i(v) = -v**3 - 3*v**2 + 12*v + 2. Calculate the remainder when i(-6) is divided by 17.
4
Suppose -5*s + 232 = -63. Calculate the remainder when s is divided by 12.
11
Calculate the remainder when 19 is divided by 1*-3 - 84/(-12).
3
Let m = 29 - 1. Calculate the remainder when 109 is divided by m.
25
Suppose -2*r + 8 = 0, 0 = -2*x - 3*r + 2*r + 100. Let w be 2*1 + (-7 - 26). Let j = w + x. Calculate the remainder when j is divided by 10.
7
Let w = -32 + 66. What is the remainder when 98 is divided by w?
30
Suppose 14*f - 51 = 13*f. What is the remainder when f is divided by 11?
7
Let k(p) = -p**3 - 8*p**2 - 5*p + 8. Let t be k(-6). Let m = t - -96. Calculate the remainder when m is divided by 21.
20
Let p(n) = -n**3 + 5*n**2 + 8*n + 9. Let h be p(7). What is the remainder when 12/(-24) - h/2 is divided by 5?
1
Suppose c - 35 = 4*f, -c - 2*f = -5*f - 38. Let z = 263 - 249. What is the remainder when 7*(c/7 - -1) is divided by z?
12
Let p(w) = w + 11. Let z be p(-8). Suppose -3*q - 19 - 88 = -5*h, z*q - 64 = -4*h. Calculate the remainder when h is divided by 10.
9
Calculate the remainder when 43 is divided by 7 - (3 - (-21)/(-3)).
10
Let w be -70*-2*(-2)/(-4). Suppose -5*a + a - 3*c - 139 = 0, 0 = -2*a - 2*c - w. Let t = a - -49. Calculate the remainder when 43 is divided by t.
13
Suppose 3*f - 22 = -i, -46 - 1 = -3*f + 4*i. Let w(d) = d**2 + d + 5. What is the remainder when f is divided by w(0)?
4
Let t be 3 + (3 - -2 - -2). Suppose -r = -t + 2. What is the remainder when 23 is divided by r?
7
Let v(n) = -n**2 - 8*n - 6. Let m be v(-5). What is the remainder when 134/6 + 6/m is divided by 8/((0 - 1)/(-1))?
7
Let b be (-1)/(-2) - (-123)/6. Let p = b - 4. What is the remainder when p is divided by 5?
2
Let m(g) = g - 2. Let k = 2 + 7. Calculate the remainder when 26 is divided by m(k).
5
Let i(d) = -6*d**3 - 1. Let m(a) be the first derivative of a**2/2 - 4*a - 1. What is the remainder when i(-1) is divided by m(6)?
1
Suppose 0 = 5*l - 0*l - 420. Suppose -4*u = 7*o - 2*o - 104, -3*o = -3*u - l. What is the remainder when 71 is divided by o?
23
Let z(i) = 0*i - 8*i - 5 + 0*i. What is the remainder when z(-7) is divided by 14?
9
Suppose -4*d = -0*d - 3*i - 331, -3 = 3*i. What is the remainder when d is divided by 6?
4
What is the remainder when 256 is divided by ((-602)/(-21))/(2*1/3)?
41
Suppose 0 = 2*f + k + 4*k - 55, 2*f - 2*k - 20 = 0. Let b(r) = 55*r**2 + r - 1. What is the remainder when b(1) is divided by f?
10
Let p(k) = 6*k**3 + k - 1. Let h be p(1). Suppose h*i - 9*i + 75 = 0. What is the remainder when i is divided by 9?
7
Let w = 4 + -1. Let v(l) = -6*l - 1. Let s be v(w). Let g = 32 + s. What is the remainder when g is divided by 8?
5
Let i(f) = f**3 + 7*f**2 + 3*f - 7. Let y = -87 - -151. What is the remainder when y is divi