 -2*q. Let u = -9 - 19. Let x = 48 + u. What is the remainder when x is divided by q?
6
Let q(m) = m - 1. Let y be q(5). Let w = y - 0. Let n(u) = u**3 + 6*u**2 + 4*u + 2. Calculate the remainder when n(-5) is divided by w.
3
Let s = -32 + 40. Calculate the remainder when s is divided by 2.
0
Let s(p) = p**2 - 5*p + 8. Let z = -37 - -52. Calculate the remainder when s(6) is divided by ((-10)/z)/(1/(-12)).
6
Suppose x - 1 = 1. Let c(i) = -2*i**2 + 2*i - 1. Let j be c(x). Let p(g) = -g**2 - 8*g - 3. Calculate the remainder when p(j) is divided by 5.
2
Suppose 2*r = 2*k, 4*r - 6 = 6. Let d(p) = k - 4 + p + 0*p - 3*p. What is the remainder when d(-3) is divided by 2?
1
Let y = 16 - -17. Calculate the remainder when y is divided by 9.
6
Let g(h) = 2*h**2 - 7*h + 3. Let u be (-6)/9 + 10/(-3). What is the remainder when g(4) is divided by (6/u)/1*-2?
1
Let n(k) = 2*k**2 + k - 3. What is the remainder when n(-3) is divided by 3?
0
Let h = -3 - -5. Let o be 23/(2/2 - 0). Suppose o + h = n. Calculate the remainder when n is divided by 9.
7
Let a(b) = 6*b + 2. Calculate the remainder when a(10) is divided by 16.
14
Suppose -10 = 13*r - 18*r. Suppose r*z = -3*t + 30, z - 4*t + 60 = 5*z. Calculate the remainder when 58 is divided by z.
13
Suppose 25 = 5*s + 2*c, -5*s + 2*c = -27 + 2. Suppose -g = -s*g + 8. Suppose -3*i = g*i - 70. Calculate the remainder when 27 is divided by i.
13
Suppose -5*f + 12 = -8. Let t(w) = f*w - 6*w + 0 + 1. What is the remainder when t(-3) is divided by 4?
3
Let t = 24 - 11. Let h be 2 + (-7 - -1)/(-3). Suppose d + h*d = 5*f - 115, -f - 3*d + 31 = 0. What is the remainder when f is divided by t?
12
Let o(n) = -84*n + 1. Let j(p) = 2*p**2 + 4*p - 1. What is the remainder when o(-1) is divided by j(-5)?
27
Let i(l) = -l. Let v be i(-2). Let z = 36 - 26. Calculate the remainder when v/6 - 258/(-9) is divided by z.
9
Let b = -8 - -14. What is the remainder when 15 is divided by b?
3
Let d(s) = -s**3 + 3*s**2 + 4*s. Let c be d(4). Let h(i) = -i**2 + i + 40. What is the remainder when h(c) is divided by 14?
12
What is the remainder when 29 is divided by ((-6)/8)/((-28)/224)?
5
Let k(f) = f - 2. Let z = 8 + -3. Let w be k(z). Suppose -6*m + 3*m + 22 = 2*b, w*b = 5*m + 71. What is the remainder when b is divided by 6?
5
Let k(m) = -m**2 + 4*m + 1. Let l be k(3). Suppose 3*n = i - 2*n + 17, l*i = -n + 16. Calculate the remainder when 4 is divided by i.
1
Let b be ((-15)/(-6))/((-2)/(-4)). Let f be (b*2)/(1 + 0). Suppose -f = -2*c - 4*v, -7*c + 20 = -3*c - 4*v. What is the remainder when 13 is divided by c?
3
Let s = 14 + -6. Let y = -2 + 7. What is the remainder when s is divided by y?
3
Suppose 0 = h - 3*h - 396. What is the remainder when 31 is divided by h/27*3/(-2)?
9
Let i = -42 - -44. Calculate the remainder when 6 is divided by i.
0
Let t(i) = i**2 - 6*i + 16. Calculate the remainder when 61 is divided by t(4).
5
What is the remainder when 79 is divided by (0 + -4)/(0 - (-6)/(-21))?
9
Let y = 33 + -19. Calculate the remainder when 38 is divided by y.
10
Suppose -4*s + 4*m - 4 = 0, 0 = -s + 2*m + 1 - 2. Let t(i) = 5*i**2 - i. Let o be t(s). Suppose -o = -4*u + 26. What is the remainder when 15 is divided by u?
7
Let d(m) = 2*m - 3. Suppose 12 = -0*b + 4*b. Let z be d(b). Let n = 13 - z. Calculate the remainder when n is divided by 4.
2
Suppose k = 3*u - 43, 3*u = -3*k - 12 + 63. What is the remainder when 43 is divided by u?
13
Suppose u - 3*q - 8 = 0, 3*u - 7*q = -2*q + 16. Suppose -f = u*f - 30. Suppose 4*n - 39 = 117. What is the remainder when n is divided by f?
9
Suppose 4*k = -3*l + 2*l + 19, 4*l = 3*k. Let o = 20 - k. Calculate the remainder when 46 is divided by o.
14
Let z(r) = 0*r - 5*r + 6*r + 17. What is the remainder when z(6) is divided by 13?
10
Let h = -2 + 2. Suppose h*z + z + 5 = 3*p, -2 = -p. Calculate the remainder when 2 is divided by z.
0
Let c be (-3)/1 + (144 - -6). Suppose 2*j - 3*j - 146 = -5*h, c = 5*h - 2*j. What is the remainder when 86 is divided by h?
28
Let s = 11 + 13. Calculate the remainder when 71 is divided by s.
23
Let j(q) = 9*q - 6. Suppose -y + 43 = 5*f, y - 10 = -2*f - 3*y. What is the remainder when f is divided by j(1)?
0
Suppose 0 = -5*g + 457 - 107. Suppose -2*f - 3 = -3*f. Suppose f*r - 96 = -r. Calculate the remainder when g is divided by r.
22
Let y = -303 - -546. What is the remainder when y is divided by 35?
33
Suppose 0 = -4*t + 5*t - 8. Calculate the remainder when 15 is divided by t.
7
Let q be 2*((-14)/(-4) + 0). Let z(u) = u. Let m(g) = -7. Let d(k) = m(k) + 5*z(k). What is the remainder when d(q) is divided by 15?
13
Let j = -124 + 241. Calculate the remainder when j is divided by 12.
9
Let x(h) = h - 5. Let k be (21 + -1)*(-18)/(-5). Calculate the remainder when (-4)/(2 + k/(-33)) is divided by x(11).
4
Let t(y) be the third derivative of y**5/12 + y**4/24 - y**3/6 - 5*y**2. Calculate the remainder when 66 is divided by t(-2).
15
Let b = -22 + 39. What is the remainder when b is divided by 9?
8
Suppose -3*o - 1 = -x - 60, 0 = -o + 5*x + 15. What is the remainder when o is divided by 7?
6
Suppose 3*m - 16 = 50. What is the remainder when m is divided by 6?
4
Let h = -3 - -24. Let j(g) = g**3 - 3*g**2 - 5*g + 3. What is the remainder when j(6) is divided by h?
18
Let y(q) = 8*q**3 - q**2 + 1. Let f be y(1). Suppose 0 = 4*s - f, 2 = -3*p - 4*s + 37. What is the remainder when 3 is divided by 29/p + (-12)/54?
0
Let q(x) = 2*x - 5. What is the remainder when 11 is divided by q(4)?
2
Suppose -2*t - 17 = -5*w + 48, w - 1 = -2*t. What is the remainder when 31 is divided by w?
9
Suppose -132 = -w - 2*w. Suppose 3*r = -r + w. Calculate the remainder when r is divided by 6.
5
Let o(i) = -i**3 - 3*i**2 + 5*i + 3. Calculate the remainder when o(-5) is divided by 6.
4
Let g be -3 + (6 - 3)*1. Suppose 5*r - 4*c - c - 40 = g, c = -4. Suppose 0 = -3*x - 12 + 45. What is the remainder when x is divided by r?
3
Let r(d) = -d + 22. Calculate the remainder when r(16) is divided by 4.
2
Let s be 78/2 + (-10 - -10). Let d = s + -19. What is the remainder when 79 is divided by d?
19
What is the remainder when (-4 - -5) + 7 - -4 is divided by 7?
5
Let v(t) = t**2 + 13*t + 2. Let g be v(-13). Suppose 100 = g*c + 2*c. What is the remainder when 74 is divided by c?
24
Let y(f) = -f**2 + 4*f + 1. Let v be y(3). Suppose 88 = -v*s + 6*s. Suppose 0 = -i - 0*i + s. Calculate the remainder when i is divided by 15.
14
Suppose 7 = 3*u + 1. Suppose -u*s = -0*s - 66. Calculate the remainder when s is divided by 9.
6
Suppose 0 = 510*z - 506*z - 104. Let w(h) = -1 - h + 2*h + 2*h. What is the remainder when z is divided by w(5)?
12
Suppose -2*l = 3*l - 40. Let u = -29 + 8. Let g = 36 + u. Calculate the remainder when g is divided by l.
7
Suppose 107*v - 101*v - 1062 = 0. Calculate the remainder when v is divided by 20.
17
Let x = -3 - -3. Suppose 3*i + 3*l = -x*l + 27, 4*l = -20. Calculate the remainder when 41 is divided by i.
13
Let h(q) = -3*q**3 - 3*q**2 - 2*q + 2. Let b be h(-2). Suppose 0*m = -m + b. What is the remainder when 68 is divided by m?
14
Suppose 5*t = -4*l + 24, 0 = 4*t + 6*l - 5*l - 17. Let b = 10 + t. Calculate the remainder when b is divided by 4.
2
Let g = 100 - 75. Calculate the remainder when g is divided by 10.
5
Let r(c) = -3 - 2*c + 0 - 2. Let v be r(-4). Suppose -v*h = 2*h - 40. What is the remainder when 14 is divided by h?
6
Suppose 0 = 4*j - 8*n + 7*n - 257, 2*n - 242 = -4*j. Calculate the remainder when j is divided by 17.
12
Suppose r + 18 = 3*r. What is the remainder when 15 is divided by r?
6
Let n be (-4)/((0 - 1) + -1). Suppose 3*s + 176 = 5*d, n*d - d + s = 32. What is the remainder when d is divided by 9?
7
Let f(p) = -5*p - 3. Let c(u) = -u - 1. Let a(o) = 9*c(o) - 2*f(o). What is the remainder when a(5) is divided by 1?
0
Suppose -86 = -8*v - 14. Let n(k) be the first derivative of k**2/2 - k - 1. Calculate the remainder when v is divided by n(6).
4
Let f = 97 - 69. Suppose 12 = -3*s + s. Let y(w) = w**2 + 3*w - 8. What is the remainder when f is divided by y(s)?
8
Let i(o) = -2 + 7 - 3 + 15*o. Let a be i(2). Suppose -d = -31 - a. Calculate the remainder when d is divided by 16.
15
Suppose 2*o - 4 + 6 = 0, 2*s + o = 25. Calculate the remainder when 23 is divided by s.
