 + 18 = -q + 5, -3*n + 5*q + 49 = 0. Calculate the remainder when g is divided by n.
6
Let u(q) be the third derivative of q**5/20 + 3*q**4/8 - q**3/6 - 8*q**2. Calculate the remainder when 31*(-1)/(-4)*4 is divided by u(-4).
9
Suppose 3*i - 14 = -2*q, 2*i - 4 = -4*q + 8*q. Let r(y) = -y**3 + y - 2. Let n be r(-2). Let j = n - q. Calculate the remainder when 11 is divided by j.
2
Let f(q) be the second derivative of -q**5/20 - q**4/4 + q**3/3 + 2*q**2 - q. Let a be 170/(-45) + (-4)/18. Calculate the remainder when 34 is divided by f(a).
10
Let r = 57 - 54. Calculate the remainder when r is divided by 2.
1
Let c(x) = x + 37. Let t(r) = -r**2 + 4*r - 3. Let b be t(3). What is the remainder when c(b) is divided by 13?
11
Suppose -31 = q - 154. Let d = -43 + q. Suppose 3*w - d = -2*w. What is the remainder when 31 is divided by w?
15
Let x = 55 + -25. Calculate the remainder when x is divided by ((-132)/(-28))/(-3)*-7.
8
Let z = -4 + 2. What is the remainder when 34 is divided by -3*(2*-2 + z)?
16
Suppose 2*x + 41 + 15 = 4*v, -v - 5*x + 25 = 0. What is the remainder when 42 is divided by v?
12
Let r = -27 - -46. Let h = -4 + 11. Calculate the remainder when r is divided by h.
5
Let i(q) = 4*q**3 - q**2. Let s be i(1). Suppose -5*n = -s*n - 8. Let g(u) = -9*u**3 + u**2. What is the remainder when g(-1) is divided by n?
2
Let h = 88 + -33. Let f = -14 + h. Let l = f - 27. Calculate the remainder when 41 is divided by l.
13
Let i be 3/(1*9/(-30)). Let c(z) = -z. Calculate the remainder when 29 is divided by c(i).
9
Suppose -7*w = 2*w - 270. Calculate the remainder when w is divided by 11.
8
Calculate the remainder when 363/(-22)*8/(-6) is divided by 5.
2
Suppose 11*g - 750 = 5*g. Calculate the remainder when g is divided by 32.
29
Let a(s) = -s**3 - 1. Let b be 7/2 + 3/6. Let p(f) = -f**3 + 4*f**2 - 2*f + 6. Let z be p(b). What is the remainder when 13 is divided by a(z)?
6
Suppose l + l = 54. Suppose -2*p + 0*p + 3*i = 0, 0 = -5*p - 3*i + 21. Let r(u) = 4*u + 2. Calculate the remainder when l is divided by r(p).
13
Suppose -2*k = 4*t - 28, -k - 1 = 3*t - 20. Suppose -5*v = -k - 1. Let o(g) = -g**3. Calculate the remainder when v is divided by o(-1).
0
Suppose -4*g + 3*g = 5*c - 875, -3*c = -5*g - 497. What is the remainder when c is divided by 44?
42
Suppose -3*p = -4*p + 45. What is the remainder when p is divided by 24?
21
Let q(p) = 9*p**2 - 3*p + 1. Let b(z) = -9*z**2 + 4*z - 2. Let u(j) = 3*b(j) + 4*q(j). What is the remainder when u(2) is divided by 18?
16
Suppose 0 = -z - 3, 0 = -k - 2*z - 2 - 0. Let c(n) = 9*n. Calculate the remainder when c(1) is divided by k.
1
Let w = -4 - -4. Suppose w = -k + 33 - 10. What is the remainder when k is divided by 12?
11
Let d be 3 + ((-4)/(-4) - 6). Calculate the remainder when 23 is divided by (1 - d)/((-6)/(-16)).
7
Suppose -9*p + 8*p + 11 = 0. Calculate the remainder when 15/((-1)/(-2)*1) is divided by p.
8
Let w = -6 + 10. Suppose -5*t + w*m = -156, 3*t = 4*t - 2*m - 36. Let l(x) = x**2 - 5*x + 4. Calculate the remainder when t is divided by l(6).
8
Let s(n) = -n + 4. Suppose 9*p = 10*p - 5. What is the remainder when p is divided by s(2)?
1
Let b(t) = 8*t**2 + 2*t - 6. Calculate the remainder when 64 is divided by b(-2).
20
Suppose 0 = 2*x + x - 51. Let w(d) = -3 + 4*d + 3 + 2*d. What is the remainder when x is divided by w(1)?
5
Let m = 5 - 1. Suppose 33 = 4*x - l + 6*l, 0 = -x - m*l + 22. Suppose 5*n - 5 = -5*a + 20, 0 = 2*n + a - 8. Calculate the remainder when n is divided by x.
1
Suppose 9 = 5*l - 6. Suppose -y + 8 = -2*d, -l*d = d - 20. Calculate the remainder when (-35)/(-1) + (-1 - 0) is divided by y.
16
Suppose 81 + 174 = 3*r. Calculate the remainder when r is divided by 8.
5
Suppose -2*l + 6*l = 432. What is the remainder when l is divided by 10?
8
Suppose 4*x + 175 = -3*n, 0*x = -5*n - x - 320. What is the remainder when 1/3 - n/3 is divided by 8?
6
Suppose r = -3*r - 8. What is the remainder when 26 is divided by r/(-6) - 104/(-12)?
8
Let z(a) = -a**3 - 3*a**2 - 2*a - 3. Calculate the remainder when 8 is divided by z(-3).
2
Let u(l) = -l**3 + 5*l**2 + 4*l - 10. What is the remainder when 28 is divided by u(5)?
8
Calculate the remainder when 43 is divided by -46*((-3)/(-2) - 2).
20
Suppose -4*g = 4*u + 33 - 277, -3*g - 4*u = -185. What is the remainder when g is divided by 20/6*18/4?
14
Suppose 0 = 7*l - 105 + 70. Suppose -35 = -4*h + 13. What is the remainder when h is divided by l?
2
Let m(b) = 3*b**2 + 2*b - 3. Let y(l) = l**3 - 2*l**2 - 2*l + 1. Let d be y(2). Suppose -c = -5 - 5. Calculate the remainder when m(d) is divided by c.
8
Let j = 5 + 3. Calculate the remainder when (-3)/(4/(168/(-9))) is divided by j.
6
Suppose -80 = -5*n - 20. What is the remainder when 49 is divided by 21/28 + 303/n?
23
Let k = -15 + 44. Let a(y) = 3*y + 1. Calculate the remainder when k is divided by a(3).
9
Suppose 0 = -b + 30 + 5. What is the remainder when b is divided by 12?
11
Let h = 53 + -36. What is the remainder when 64 is divided by h?
13
Suppose 4*l - 12 = -2*b + 16, -b = -5*l - 21. What is the remainder when 29 is divided by b?
13
Let h(m) = 16*m**2 + 2*m - 1. Suppose -457 - 993 = -50*k. What is the remainder when k is divided by h(1)?
12
Suppose m = 3*m - 4*z - 22, 0 = 2*z - 2. Let v(o) = -47*o. Calculate the remainder when v(-1) is divided by m.
8
Suppose 4*l - 7*l = 0. Let j(s) = s + 81. What is the remainder when j(l) is divided by 21?
18
Let u(a) = 4*a - 1. What is the remainder when 31 is divided by u(3)?
9
Suppose -3*u - 2*d + 18 = 0, -3*u - 3 = -d - 12. Suppose -4*b = -3*b - u*l - 38, 4*l - 12 = 0. Calculate the remainder when b is divided by 17.
16
Suppose l - 2*l - 63 = -5*y, -3*y + 5*l = -51. Let d be (68/(-5))/(1/(-5)). Let p = d - 46. What is the remainder when p is divided by y?
10
Let u(i) = -10*i + 16. Let a(b) = -2*b + 3. Let v(n) = -11*a(n) + 2*u(n). Suppose -6*r = -3 - 9. Calculate the remainder when 4 is divided by v(r).
1
Let i = 5 + -3. Suppose -i*p + 4*p = 5*n + 43, -5*n = p + 16. Calculate the remainder when 34/6*12/4 is divided by p.
8
Suppose -14 = -5*h + 2*g, 0 = -3*g - 0 - 6. What is the remainder when (-3 + h)/((-4)/88) is divided by (-1 - -3)/(2/8)?
6
Suppose -4*k - 128 = -2*m + 86, -122 = 2*k + 4*m. Let a = 55 - 86. Let d = a - k. What is the remainder when d is divided by 13?
11
Let v(g) = -g + 2. Let n be v(-3). Suppose -n*l = -27 - 88. Let b = 90 + -45. What is the remainder when b is divided by l?
22
Suppose 4*t + 5*n - 4*n - 48 = 0, 0 = t - 4*n + 5. Let i(z) = -11*z - 1. Calculate the remainder when i(-3) is divided by t.
10
Let d(w) = 11 + 0*w - 5*w + 4*w. Calculate the remainder when 35 is divided by d(-8).
16
Let x(i) = 2*i**3 + 2*i**2 + 2. What is the remainder when x(2) is divided by 7?
5
Let c = 41 + -26. Calculate the remainder when 40 is divided by c.
10
Suppose 3*x + 5*k = -90, -2*k - 14 = 4*x + 106. Let s = 35 - x. Suppose -s = -3*o - 2. What is the remainder when o is divided by 11?
10
Let y = -5 - -4. Calculate the remainder when ((-19)/(-1) - 0)*1 is divided by y*(2/2 + -11).
9
Let o(n) = 7*n - 3. Let v be -9*(-2)/6 + 2. What is the remainder when o(3) is divided by v*(-3 + 3 - -1)?
3
Suppose 5*g + m + 14 = 91, 3*m - 51 = -3*g. Calculate the remainder when 28 is divided by g.
13
Suppose 0 = 97*c - 95*c - 30. Calculate the remainder when c is divided by 6.
3
Let z(a) = a**2 - 22*a + 45. What is the remainder when 47 is divided by z(21)?
23
Let f be (-3)/2*(5 - 7). Suppose 3*x + 4*k - 43 = 0, 2 + 4 = 2*x - f*k. Let j(l) = l**3 - 4*l**2 - 8*l + 1. What is the remainder when j(6) is divided by x?
7
Let q(j) = -j**3 + 5*j**2 + 9*j - 8. Calculate the remainder when 28 is divided by q(6).
8
Let i(w) = w + 11. Let o be i(-8). Let n be (2 - 0) + 1*o. Suppose 0 = 4*k + 3*q - 67, -n*q = 2*k - 12 - 39. Calculate the remainder when 51 is divided by k.
12
Let f(l) = -6*l**3 + 2*l**2 + 4*l + 3. Let i(x) = -5*x**3 + 3*x**2 + 5*x + 4. Let p(w) = 6*f(w) - 7*i(w). Calculate the remainder when 27 is divided by p(-8).
13
Let v be (4/(-3))/((-4)/6). Suppose 3*b = v*i + 118, 2*b + i - 64 = 6*i. Suppose 0 = 7*x - 4*x - b. Calculate the remainder when x is divided by 5.
4
Let p = -56 - -59. Suppose -7 = -4*g + 4*w + 9, 2*w - 4 = -g. What is the remainder when g is di