u) = -u**3 + 3*u**2 - 2*u + 3. Let m be f(3). Let q(n) = -17*n - 4. What is the remainder when q(m) is divided by 16?
15
Let r = 24 + 2. What is the remainder when r is divided by 10?
6
Let n = 154 + -143. What is the remainder when 116 is divided by n?
6
Let m = 305 + -181. Suppose 0*o - 4*o = -m. Calculate the remainder when o is divided by 11.
9
Suppose 2*p + 7 = 3*w, p - 8 = -2*w + 6. Suppose -p*m - 2*q = -2*m - 78, -5*q = 3*m - 119. Calculate the remainder when m is divided by 13.
12
Suppose 3*t - 6 = 5*t. Let g = t + 6. Calculate the remainder when 5 is divided by g.
2
Let v = 10 + -7. Let l = v + -1. Suppose 0 = -2*c - l*c + 80. Calculate the remainder when 38 is divided by c.
18
Suppose -3*q = 3*a - 37 - 401, 0 = 5*a + 2*q - 715. Suppose 0 = -v - 4*b + 27, -5*v + a = b + 6. Calculate the remainder when v is divided by 7.
6
Suppose 2*q - 11 - 13 = 0. Suppose -176 = -4*k - 0*k. Calculate the remainder when k is divided by q.
8
Suppose -44 = -k + 69. Suppose -i = -5*x + k, -21 = 2*x - 3*x + i. What is the remainder when x is divided by 12?
11
Suppose -g - 4*k = -9 - 5, -5*g + 3*k = -1. What is the remainder when (76/6)/(g/6) is divided by 3 + -3 + 14 + -1?
12
Let r = 42 - -36. What is the remainder when r is divided by 16?
14
Suppose -3*t - 8 = -7*t. Calculate the remainder when 3 is divided by t.
1
Let o be -3 - 6/(-9)*267. Suppose 2*d + z - 120 = 0, 7*d - 4*d - o = z. What is the remainder when d is divided by 15?
14
Suppose 0 = q - 3*q + 140. What is the remainder when q is divided by 18?
16
Suppose -2*z = 4, -3*c + 3*z - 4*z - 41 = 0. Let v = 27 + c. Suppose -4*g + 20 = 0, -v = -4*u - g + 7. Calculate the remainder when 11 is divided by u.
3
Let b(r) = -r**3 - 3*r**2 + 3*r + 6. Let u(d) be the first derivative of -7*d**2 + 1. Calculate the remainder when b(-5) is divided by u(-1).
13
Let j = -16 - -17. What is the remainder when 3*j/3 + 45 is divided by 24?
22
Suppose 0*u - 60 = -5*u. Calculate the remainder when (0 - -1)/((-2)/(-70)) is divided by u.
11
Suppose -4*c = -q + 26, -c + 2*c + 17 = 2*q. Suppose -9*y = -7*y + 40. Let b = 31 + y. What is the remainder when b is divided by q?
5
Suppose -m + 16 = -3*r - 39, 2*r = -2. Suppose -4*y = m - 160. Calculate the remainder when y is divided by 6.
3
Suppose 3*u = 5*u - 4*d + 12, -12 = -4*u - d. Suppose 0 = -u*z - 3*y + 57 + 45, -2*z + 4*y + 88 = 0. Calculate the remainder when z is divided by 10.
8
Let u be 10/(-2) + 0 + 1. Let h(v) = v**2 + 3*v - 1. What is the remainder when 4 is divided by h(u)?
1
Suppose -4*g = -4*m - 2*g + 10, -5*m = 4*g - 32. What is the remainder when 6/m*(-68)/(-6) is divided by 9?
8
Suppose -9*d + 6*d = -15. Suppose -d*k + 421 = -4. What is the remainder when k is divided by 29?
27
Calculate the remainder when (-3)/(-6)*2*67 is divided by 24.
19
Suppose 41 = 2*n + 4*p + 1, 3*n = 3*p + 51. Calculate the remainder when n is divided by 5.
3
Let y = 1236 - 1213. Let s(p) = -155*p. Let g be s(-1). Suppose 70 = 5*b - g. Calculate the remainder when b is divided by y.
22
Let s(l) = -l + 13. Calculate the remainder when 54 is divided by s(5).
6
Let v be 1 + 0 + 1 + -32. Let h = -12 - v. Suppose -4*g + h = -2*g. Calculate the remainder when 16 is divided by g.
7
What is the remainder when 52 is divided by (-4 - 0)/(-8)*28?
10
Let u(c) = -c**2 - 21*c + 18. What is the remainder when u(-20) is divided by 10?
8
Suppose 480 = 5*t - 5*r, -2*r + 99 = 3*t - 184. What is the remainder when t is divided by 24?
23
Suppose 10 = 2*c - 2*s, -2*s + 5 = 4*c - s. Let q = -15 - -23. Let u = c + q. What is the remainder when 18 is divided by u?
8
Suppose 4*f = 2*f + 28. Let n(w) = -9*w - 1. Let h be 3/(6/(-10)) + 2. What is the remainder when n(h) is divided by f?
12
Suppose -1 - 29 = -6*u. What is the remainder when 14 is divided by u?
4
Calculate the remainder when 24/3 + (1 - 2) is divided by 3.
1
Suppose 4*v - 15 = -o + 1, -4*v = 4. Let f(x) = 6*x. Let i be f(-2). Let a = -5 - i. What is the remainder when o is divided by a?
6
Let u(p) = -p**3 - 11*p**2 + 11*p + 1. Calculate the remainder when 37 is divided by u(-12).
11
Let w = 41 - 28. Calculate the remainder when 50 is divided by w.
11
What is the remainder when 540/8 - (-4)/(-8) is divided by 23?
21
Suppose 4*d - 2*i - 253 = 51, -2*d + 142 = 4*i. Calculate the remainder when d is divided by 26.
23
Let m be ((-12)/(-2))/3*16. Let r = 51 - m. Calculate the remainder when 55 is divided by r.
17
Suppose -5*b - 6 = -21. Suppose -3*i + 6 = -b. Suppose 2*s = -4*t + 6, 5*t - 4*s - 11 = -i*s. What is the remainder when 2 is divided by t?
0
Let r be (-7)/1 - (-6)/3. Let v = 37 + r. What is the remainder when v is divided by 17?
15
Suppose -4*q + 328 = 2*v - 0*v, 4*v + q - 642 = 0. Suppose 0*x = -5*x + v. What is the remainder when x is divided by 11?
10
Let m = -81 + 141. What is the remainder when m is divided by 21?
18
Let p = 19 + 0. What is the remainder when p is divided by 11?
8
What is the remainder when 75 is divided by -1*5 + (-39)/(-3)?
3
Let k(t) = t**2 - 21*t + 58. Calculate the remainder when k(19) is divided by 4.
0
Let b = 84 - 31. Let x = -31 + b. Calculate the remainder when x is divided by 8.
6
Suppose -h + 2*z = 3*h - 12, 0 = 2*h - 4*z. Suppose 5*w = h + 11. Suppose w = -k + 2*k. Calculate the remainder when 11 is divided by k.
2
Let r(x) = -2*x - 2. Let o be r(-3). Let s(n) = n**2 + 170. Let p be s(0). Suppose 9*a = o*a + p. What is the remainder when a is divided by 18?
16
Suppose 5*q + 17 = -a - 36, 0 = 3*a + 9. Let z(n) = -2*n + 9. Let y be z(q). Let f = y + -10. Calculate the remainder when 36 is divided by f.
17
Let j = 29 - 10. Suppose g = 6*g - 180. What is the remainder when g is divided by j?
17
Suppose 2*a - 6 = -2*v + v, 0 = -5*v - 4*a + 36. Let o = 73 - 44. Calculate the remainder when o is divided by v.
5
Suppose 6*a = -7*a + 39. Calculate the remainder when a is divided by 1.
0
Let t(v) = -v + 5. Calculate the remainder when 33 is divided by t(-7).
9
Let t = -45 + 46. What is the remainder when 1 is divided by t?
0
Let w(k) = 5*k - 18. What is the remainder when 70 is divided by w(6)?
10
Suppose 3*t - 5*r - 170 + 1 = 0, 2*t + 2*r = 102. Suppose 90 = 6*d - d. Calculate the remainder when t is divided by d.
17
Suppose 0 = 4*t + 9*t - 143. Suppose -k + h = -33, -41 - 24 = -2*k + h. What is the remainder when k is divided by t?
10
Let c(k) = k + 7. What is the remainder when c(-6) is divided by 6/4*((-4)/(-6) - 0)?
0
Let u = 7 + -5. Let r = -14 - -10. Let d = r - -5. Calculate the remainder when u is divided by d.
0
Let s(r) be the third derivative of r**5/60 - 5*r**4/24 - r**3/2 + r**2. Calculate the remainder when 43 is divided by s(7).
10
Suppose 28 = 2*u + 5*j - 1, 3*u - 33 = -4*j. Calculate the remainder when u is divided by 2.
1
Let g = -47 - -56. Calculate the remainder when 50 is divided by g.
5
What is the remainder when 2/(-7) + (-2040)/(-35) is divided by 30?
28
Suppose -5*s - 2*z = 0, -2*s - 21 = 2*z + 3*z. What is the remainder when s is divided by 1?
0
Let c = 12 + 13. Suppose 2*a - 240 = -3*a. What is the remainder when a is divided by c?
23
Suppose m + 36 = 3*x + 3*m, 32 = 2*x + 4*m. What is the remainder when 39 is divided by x?
9
Let u = 27 + -61. Let m = 53 + u. Let n = m + -13. Calculate the remainder when 10 is divided by n.
4
Let r(a) = -a**3 + 7*a**2 - 5*a - 3. What is the remainder when 85 is divided by r(5)?
19
Let d(a) = -a**2 - 5*a - 1. Calculate the remainder when (6 - 2)/(-2*(-3)/12) is divided by d(-4).
2
Suppose -2*w = -4*w + 10. Suppose -w*d = -26 + 6. Suppose n + 4*n - 77 = -2*g, -d*n = 4*g - 136. Calculate the remainder when g is divided by 16.
15
Suppose 2*j - 40 = 4*x, -x - 5 = -4. Calculate the remainder when 67 is divided by j.
13
Let t(o) = -o**2 - 16*o + 17. Let i be t(-17). Suppose 0*a + 2*a - 6 = i. Suppose 45 - 13 = 4*l. Calculate the remainder when l is divided by a.
2
Calculate the remainder when 0 + (-1 - 46/(-2)) is divided by 8.
6
Let l(n) = 2*n**2 + 4*n - 1. Let i(m) = -m**2 + 7*m - 4. Let h be i(7). Let k be (h - -2) + -1 + 0. Calculate the remainder when 13 is divided by l(k).
3
Let q(v) = v**3 - 7*v**2 + v - 5. Let k be q(6). Calculate the remainder when (56/k)/(4/(-50)) is divided by 11.
9
Let z(c) = -6*c - 11. What is the remainder when 97 is divided b