 = 3*k - 2*f. Suppose -w - 2*t + 77 = 2*w, w - 3*t = k. Calculate the remainder when w is divided by 8.
7
Let u = 278 + -234. Let f = 10 - -64. Suppose 3*o + 29 = f. What is the remainder when u is divided by o?
14
Let t = -9 - -6. Calculate the remainder when 20 is divided by -2 - ((-3)/t + -14).
9
Let d(f) = -8*f - 9. Let q be d(-9). Let o = -13 + q. What is the remainder when o is divided by 13?
11
Let b(p) = p**3 - 6*p**2 - 5*p + 10. Suppose 0 = 2*g - 3*k - k, 1 = 2*g - 3*k. Let x be g/6 - 140/(-21). Calculate the remainder when b(x) is divided by 13.
11
Suppose 8 = -2*p, 0 = 2*w - 5*w - p + 23. What is the remainder when ((-17)/(-2))/(2/8) is divided by w?
7
Suppose 88 = -24*t + 26*t. Calculate the remainder when t is divided by 13 + (-2 - -2) - -2.
14
Suppose 2 = 4*k - 0*z + 3*z, 5*z = -5*k. Let t = 3 - 2. Calculate the remainder when k is divided by t.
0
Let r(h) = h**3 + 7*h**2 + 3*h - 7. Let u be r(-7). Suppose 2*s + s = 171. Let i = s + u. Calculate the remainder when i is divided by 15.
14
Calculate the remainder when 55 is divided by ((-28)/6)/(5/(-15)).
13
What is the remainder when 97 is divided by 88/9 + -4 + 76/18?
7
Let z = 68 - 48. Let b = -15 - -5. Let c(w) = -6*w - 2. What is the remainder when c(b) is divided by z?
18
Let a = 1 - 4. What is the remainder when (-2)/(-2)*(-99)/a is divided by 17?
16
Calculate the remainder when (-12)/(-4) - -3*8 is divided by 7.
6
Suppose 15 - 1 = 4*f - 5*s, -4*s = 8. Let q be -3*((-2)/6 - f). Suppose -4*g + q*h = -28, -2*h + 2 = g + 1. What is the remainder when 8 is divided by g?
3
Let s(o) = -o**3 + 6*o**2 - 2*o - 2. Let i be s(5). Suppose 2*u - 3*u = -i. Suppose q = -0*q + 25. What is the remainder when q is divided by u?
12
Let n = 5 - 2. Suppose -n*f - 9 = -6*f. Calculate the remainder when 50 is divided by 20/2 + 1*f.
11
Suppose 0 = 2*u + 34 + 8. Let t = 31 + u. Suppose -c + 3 = -t. What is the remainder when 25 is divided by c?
12
Let l(k) = -k**3 + 6*k**2 - k - 3. Suppose 27*s - 24*s - 96 = 0. What is the remainder when s is divided by l(5)?
15
Suppose -56 - 116 = -4*h. Let s = -14 + 36. What is the remainder when h is divided by s?
21
Let z(d) = 33*d**3 + d**2 - d. Calculate the remainder when z(1) is divided by 18.
15
Suppose 3*f + 6 = -c + 1, -19 = -4*c + f. Suppose 0*r - r = -c. Let j = -24 - -35. Calculate the remainder when j is divided by r.
3
Let k = 7 - 5. Suppose -3 = -k*o + 3. Suppose 7*c = o*c + l + 25, -2*c = 5*l - 29. What is the remainder when 19 is divided by c?
5
Let p = -52 - -65. What is the remainder when 37 is divided by p?
11
Suppose 13 = 2*v - 5. Suppose m - 2*m = -v. Let k(l) = -15*l**3 + 1. Calculate the remainder when k(-1) is divided by m.
7
Let w(c) = 15*c + 7. Let k be w(3). Suppose 0 = 16*u - 15*u - k. Calculate the remainder when u is divided by 27.
25
Suppose 0*z + 2*z + 5*t - 5 = 0, 0 = 4*t + 20. Calculate the remainder when z is divided by -4*4/40*-10.
3
Suppose -385 = -5*d - 140. Suppose -2*v - 4*b = -20, -4*v + 5*b = -5*v + 16. Suppose 2*j = v*j - 68. Calculate the remainder when d is divided by j.
15
Let z(p) = -p**2 - 4 - 14*p**3 - 1 + 4 - 2*p. What is the remainder when z(-1) is divided by 4?
2
Suppose 0 = u + 2*u - 5*i - 101, -3*u - 2*i + 115 = 0. What is the remainder when u is divided by 22?
15
Let v = 6 + -21. Let u = v + 25. What is the remainder when 29 is divided by u?
9
Suppose -5*q + 196 = -q. Suppose 3*z = -3, 5 = -2*v + 2*z + q. What is the remainder when 82 is divided by v?
19
Let p(d) be the second derivative of d**3/6 - 2*d**2 + d. Suppose 0 = 3*x + 2*x - 40. What is the remainder when 7 is divided by p(x)?
3
What is the remainder when 4 is divided by (-6 - -2) + 2 + 5?
1
Let n = 50 + -45. What is the remainder when 22 is divided by n?
2
Let n(s) = s**3 - 5*s**2 + s - 2. Let f(b) = b**3 - 3*b**2 + 3*b. Let r be f(3). Let w(p) = -2*p + 20. Calculate the remainder when n(5) is divided by w(r).
1
Let n(m) = -m**2 - 4*m - 20. Let y(s) = -s**2 - 3*s - 21. Let l(p) = 7*n(p) - 6*y(p). What is the remainder when 3 is divided by l(-8)?
1
Let q = 65 + -109. Let u = -24 - q. Let f = u - 3. Calculate the remainder when 49 is divided by f.
15
Let n(s) = s**2 + 3*s. Let u be n(-4). Let p(y) = 7*y - 6. Let b(z) = -8*z + 6. Let k(t) = 5*b(t) + 6*p(t). What is the remainder when 5 is divided by k(u)?
1
Let y = -14 - -23. Calculate the remainder when (3 - (0 - -2)) + y is divided by 6.
4
Let d = 11 - 19. Calculate the remainder when 65 is divided by ((-102)/24)/(2/d).
14
Let p = 6 - -16. Let d = 6 + p. Let a = 40 - d. What is the remainder when a is divided by 7?
5
Let i(p) = -22*p - 21. What is the remainder when i(-6) is divided by 16?
15
Let v(w) = -6*w - 1. Let f be v(-2). Suppose 4*q - 1 = f. Suppose c - 55 = -q*z, 0*z = 5*z. Calculate the remainder when c is divided by 19.
17
Let i(v) = v**3 + 6*v**2 - v + 10. What is the remainder when 29 is divided by i(-6)?
13
Let m(q) = -q**3 + 6*q**2 - 3*q - 4. Let r be 34/10 - 2/5. Suppose u + 0*u - r = 0. Calculate the remainder when 40 is divided by m(u).
12
Suppose 3*k = 2*h - 5, k = 4*h - 2*h - 11. Calculate the remainder when 19 is divided by h.
5
Let w = -19 + 21. Suppose -5*l - 43 = -2*v, w*v = 3*v + 4*l - 41. Calculate the remainder when v is divided by 6.
5
Suppose -2*z - 18*z = -180. Calculate the remainder when 30 is divided by z.
3
Suppose 2*j - j - f - 5 = 0, 3*f - 27 = -3*j. Calculate the remainder when 15 is divided by j.
1
Let v(p) = -p**2. Let h(s) = -8*s**2 - 8*s + 6. Let g(k) = -h(k) + 6*v(k). Let n = 62 + -27. What is the remainder when n is divided by g(-6)?
17
Suppose 4*o = -3*y + 73, 2*y + 24 = 2*o - 30. What is the remainder when o is divided by 12?
10
Let p = -67 - -101. Let n(u) = u**3 + 4*u**2 + 3. Let d be n(-4). Suppose 0 = -2*f + d + 21. What is the remainder when p is divided by f?
10
Let y(h) = 13*h + 3. What is the remainder when y(2) is divided by 10?
9
Suppose 5*g - z = 84, 2*g + z - 2*z = 36. Calculate the remainder when 78 is divided by g.
14
Suppose l + 55 = 2*w, -3*l - 153 = -5*w - 14. Calculate the remainder when 180 is divided by w.
24
Suppose -17 = -5*q + y + 10, 5*q - 5*y - 35 = 0. Calculate the remainder when 9 is divided by q.
4
Let b = -6 - -4. Let m be -2 + 3 + -3 - b. Suppose y + m*y = -3*c + 8, 3*y + 12 = 3*c. Calculate the remainder when 4 is divided by c.
1
Let i = 45 + -25. Suppose 0 = -r + 3*q - 0*q + 107, -4*q - i = 0. Suppose -4*d = -0*d - r. What is the remainder when 67 is divided by d?
21
Let z(q) = -19*q**2 - 2. Let i(c) = 9*c**2 + 1. Let t(n) = 7*i(n) + 3*z(n). What is the remainder when t(1) is divided by 5?
2
Let o(h) = 2*h**2 + 4*h + 1. Let v(b) = b + 3*b - 5*b. Calculate the remainder when o(-4) is divided by v(-9).
8
Let k be 0 - (1 + -1 - 0). Suppose k = -6*n + n. Suppose -4*v + 7 + 9 = n. What is the remainder when 15 is divided by v?
3
Suppose -3*s = 2*s + 4*u - 137, -s + 2*u + 33 = 0. Suppose s = 2*p - 1. What is the remainder when (-8)/(-4) + (-205)/(-5) is divided by p?
13
Let l(p) = 10*p + 0*p + 12*p. Suppose -3*o + 5*i + 185 = 0, 7*i - 4*i - 71 = -o. Calculate the remainder when o is divided by l(1).
21
Suppose -5*u - 6*k + 2*k + 60 = 0, 3*u - 2*k = 14. What is the remainder when 14 is divided by u?
6
Suppose -3*i + 15 = 3*d, 3*d + 15 = 4*d - 4*i. Calculate the remainder when 25 is divided by d.
4
Suppose 60 = 6*m - 0*m. Calculate the remainder when 14 is divided by m.
4
Suppose 3*j - 4 = 4*j, v = -5*j - 17. Calculate the remainder when 24 is divided by (v + (-39)/12)*-52.
11
Suppose -2*z + 44 = 2*z. Let y(m) = -m**3 + 12*m**2 - 12*m + 15. What is the remainder when z is divided by y(11)?
3
Let t(w) = w + 19. Let f(a) = a**3 - 4*a**2 + 3*a. Let q be f(2). Let h(u) = -6*u**3 - 3*u**2 - 2*u - 1. What is the remainder when h(q) is divided by t(-9)?
9
Suppose c - 120 = -3*x, 0 = -0*x - 2*x + 3*c + 69. What is the remainder when x is divided by 11?
6
Suppose 2*h = -2*l + 16, 2*l + 8*h = 3*h + 31. Suppose 5*n - 2*s - 66 = 0, -s = -l*n + 2*s + 45. What is the remainder when 46 is divided by n?
10
Suppose -5*g + 68 = -12. Let f(v) = 4*v**2 + 3*v - 3. What is the remainder when f(-3) is divided by 36/g*(3 + 1)?
6
Let f = 49 + -34. What is the remainder when f is divided by 8?
7
Let a = 0 - -8. Suppose 0 = 2*r + 5*t - 24, t = 3 - 5. Let