3)/6.
10
Let c(v) = v**3 - 7*v**2 + 7*v + 6. Let y be c(6). Suppose 0 = 3*p - 0*p - y. What is the remainder when 10 is divided by p?
2
Suppose 5*d + 8 = 5*t - t, 2*d + 8 = 4*t. Suppose 3*b + 114 = 2*f, -b = 3*f - 7*f + 228. Suppose d = -4*y + y + f. What is the remainder when y is divided by 7?
5
Let j(s) = -s - 2. Let p be j(-4). Suppose p*v = 5*v. What is the remainder when 3 is divided by ((0 - -2) + v)*1?
1
Let v = -10 + 12. What is the remainder when 8*(-3 - (-10)/v) is divided by 9?
7
Suppose 0 = -3*x + 3*g - g + 273, -364 = -4*x + 2*g. Calculate the remainder when x is divided by 31.
29
Suppose -4*v + 275 = v. Suppose -8*m + v = -3*m. What is the remainder when 42 is divided by m?
9
Suppose 3*d - 127 = -22. What is the remainder when d is divided by 3?
2
Let i(n) = -1 - n + 2 - 2. Suppose -2*t - 2*g - 12 = -4*g, -4*t = -2*g + 28. Calculate the remainder when i(t) is divided by 4.
3
Suppose 3*n - m = 3*m + 21, n = m + 6. Suppose 0 = -n*f + 5*c + 31, f - c = -3*f + 64. Calculate the remainder when 48 is divided by f.
14
Calculate the remainder when 47 is divided by (-4)/24*-26*1*6.
21
Let v(w) = -8*w - 22. Calculate the remainder when v(-10) is divided by 12.
10
Suppose -5*i = -4*x - 8*i + 101, 38 = x + 5*i. Suppose -3*t + 37 = -98. Calculate the remainder when t is divided by x.
22
Let g(u) = -u**3 + 4*u - 5. Let r = -17 - -2. Let v be (r/(-10))/(3/(-8)). What is the remainder when g(v) is divided by 15?
13
Let x(z) = z**2 + 292. Let u be x(0). Suppose 0 = 5*s - 233 - u. Suppose 0 = 2*m - 5*m + s. Calculate the remainder when m is divided by 12.
11
Let i(g) = 2*g**2 + 2*g - 5. Let r(b) = b + 25. What is the remainder when i(4) is divided by r(-13)?
11
Let p(v) = -v**3 - 3*v**2 + 2. Let d be p(-2). Suppose -3*l + 36 = 3. Calculate the remainder when l is divided by 80/12 + d/(-6).
4
Let c be 1*-50*3/(-6). Let v = 36 - c. Suppose -m + 0*m = -21. What is the remainder when m is divided by v?
10
Suppose 465 = 3*n + 2*n. Suppose -4*z + 0*r + 3*r = -n, -5*z = r - 102. Suppose 6 = -h - 4*b + 2, -3*h + z = b. Calculate the remainder when 23 is divided by h.
7
Let p = -8 - -3. What is the remainder when 42 is divided by (p + 2)*66/(-9)?
20
Let u = -71 - -78. What is the remainder when 21 is divided by u?
0
Suppose 4*c - 9 = b + 3, 2*c + 16 = -5*b. Let q = 2 - b. What is the remainder when (-2 + 0)/((-4)/22) is divided by q?
5
Suppose -5*s = -50 + 15. Calculate the remainder when 34 is divided by s.
6
Let a(f) = -f**2 - 8*f + 7. Let x(p) = p**3 - p**2 - p - 2. Calculate the remainder when x(3) is divided by a(-8).
6
Suppose -2*f + 0*f + 60 = 5*i, 0 = 5*f. Calculate the remainder when (1/(-2))/(6/(-408)) is divided by i.
10
Let g = 4 - -28. Suppose 3*c - 2*m = c + 16, -2*m + 6 = 0. Calculate the remainder when g is divided by c.
10
Suppose 3*p = -j + 46, -4*p = -2*p + j - 30. Calculate the remainder when 158 is divided by p.
14
Suppose -o = 4*z - 33, -4*z + 5*o + 28 + 23 = 0. What is the remainder when z is divided by 5?
4
Let b be 1 + 1 - 0/1. Let o = b - 2. Suppose k + 17 = 2*u - 4*k, o = 5*u - k - 54. Calculate the remainder when 32 is divided by u.
10
Let u(j) = 2*j**2 - 1. Calculate the remainder when 11 is divided by u(2).
4
Suppose -6*g + 264 = -0*g. Calculate the remainder when g is divided by (-1)/2*(-29 - 1).
14
Let o = 87 - 57. Suppose 4*a - 24 = -5*q, -5*a + 3*q = -q - o. Let c = -24 + 35. Calculate the remainder when c is divided by a.
5
Let u(h) = 9*h. Let o be (0 + -9)*(-10)/30. What is the remainder when u(4) is divided by (o/(-12))/(1/(-76))?
17
Let i = 9 - 5. Suppose 5*n = -v + 2 - i, v + 3*n = 2. What is the remainder when 21 is divided by v?
5
What is the remainder when 24 is divided by (100/(-15) - -6) + (-44)/(-3)?
10
Let s(v) = v - 3. Let i be s(6). Let t be (4/i)/(10/165). Suppose -5*l = -3*l - t. Calculate the remainder when 32 is divided by l.
10
Suppose 4*h = -h + 2*z + 1014, -5*h + z = -1012. Let q = h - 141. Calculate the remainder when 25 is divided by q/7 + (-6)/(-21).
7
What is the remainder when ((8 - 3) + -4)*15 is divided by 1 - 3 - 10*-1?
7
Suppose 0 = t + 5*p + 30, 4*p + 26 = -t - 0. Let u = t + 5. Let w = 14 + u. Calculate the remainder when 25 is divided by w.
7
Suppose -2*j - 2*j = 2*g - 28, 4*g - 69 = 5*j. What is the remainder when 31 is divided by g?
15
Let k be 0 + -2*(-9)/6. Suppose -2*i + 261 = k*l, 0 = -2*l - 3*i - i + 166. What is the remainder when l is divided by 23?
20
Let s = -30 + 57. What is the remainder when s is divided by 10?
7
Suppose 0*g - 4*g + 16 = 0. Suppose 2*s - 3*a - 77 = 0, 0*a = -g*s + 2*a + 150. Calculate the remainder when s is divided by 13.
11
Let z(h) = 20*h**2 + 7*h + 11. What is the remainder when z(-2) is divided by 27?
23
Suppose -3*n + 5*k = -4*n + 21, 5*k + 15 = 5*n. Suppose h + 5*a + 0 = 6, -2*a = 4*h - n. Calculate the remainder when 0 + (-2)/((-4)/2) is divided by h.
0
Suppose 4 = 2*t - t. What is the remainder when (8/(-10))/(t/(-140)) is divided by 15?
13
Suppose -5*g = 4*r, -3*g + 4*r = g + 36. Let t be (-24)/(-11) - g/(-22). What is the remainder when t + -2 + 0 + 2 is divided by 2?
0
Let r(g) = -g**2 + 4*g + 7. Suppose -2*n + 6*n - 4*i = 0, 2*i = -4*n + 30. What is the remainder when 5 is divided by r(n)?
1
Suppose -9*q = -13*q - 632. Let g = 256 + q. Calculate the remainder when g is divided by 25.
23
Suppose 5*b - 5*g = -0*g + 45, -5*g - 3 = 2*b. What is the remainder when 44 is divided by ((-10)/b)/((-12)/108)?
14
Let j = 19 - 6. Let a = 41 - 4. Calculate the remainder when a is divided by j.
11
Suppose 0 = -f + 5*f - 136. Let r(g) = 3*g**2 - 16 + g**2 - 3*g**2 + 0*g - 12*g. Calculate the remainder when f is divided by r(14).
10
Suppose -4*z = 7*z - 44. What is the remainder when 14 is divided by z?
2
Let x(q) = -4*q - 23. What is the remainder when x(-10) is divided by 9?
8
Suppose 9 = 4*x - 23. What is the remainder when 22 is divided by x?
6
Let p = 3 - -127. What is the remainder when p is divided by 27?
22
Suppose -2*j = -5 - 1. Suppose -2*q + 2*o = -26, j*q = o + 58 - 15. What is the remainder when 29 is divided by q?
14
Suppose 0 = 4*q - 6*q + 66. Let g(o) = o**3 + 3*o**2 - 4*o - 3. What is the remainder when q is divided by g(-3)?
6
Suppose w + 2*a - 24 = -2*a, 60 = 4*w + 4*a. Calculate the remainder when 45 is divided by w.
9
Let q be (-20)/((-2)/(-2 - -14)). Suppose -w + 6*w = q. What is the remainder when w is divided by 13?
11
Let m(p) = 4*p - 8. Let s(t) = 4*t - 9. Let i(b) = -4*m(b) + 3*s(b). Calculate the remainder when i(-6) is divided by 21/2 - (-3)/(-6).
9
Suppose 51 = 3*u - 12. Calculate the remainder when 62 is divided by u.
20
Let f(y) = y**3 + 4*y**2 - 8*y - 6. Calculate the remainder when 1*(-3)/12*(-5 - 63) is divided by f(-5).
8
Let z(r) = -r**3 + 6*r**2 + 6*r + 10. Let v = 3 + -2. Suppose 4*g + 3*d - 16 = -2, -2*d + v = g. What is the remainder when g is divided by z(7)?
2
Calculate the remainder when 35/2*(-24)/(-30) is divided by 8.
6
Let i be 2/(-8) - 147/(-12). Suppose 2*j - 10 = 0, -4*y + 4*j = -i - 44. What is the remainder when 55 is divided by y?
17
Suppose 0*n - 490 = -14*n. What is the remainder when 134 is divided by n?
29
Let z(r) = -r**2 - 17*r - 7. Suppose 5*k - 165 = -0*k. Calculate the remainder when k is divided by z(-16).
6
Suppose x - 14 = 7. Suppose -5*b + 4 + x = 0. What is the remainder when 16 is divided by b?
1
Let o(d) = d**3 - 2*d**2 + 4*d - 3. Suppose -3*y + 2*y + 41 = 0. Let r = y + -27. What is the remainder when r is divided by o(2)?
4
Let b = -6 - -6. Suppose -4*u - 5*o = -237, 4*u - 236 = -b*u - 4*o. Calculate the remainder when u is divided by 15.
13
Suppose 5*d = -g + 3 + 26, -2*g - 2*d = -18. Calculate the remainder when 67 + -3 + -3 + g is divided by 17.
14
Let z = 17 + -8. Calculate the remainder when z is divided by 3.
0
Suppose 0 = -6*a + 5*a. Suppose 7*l - 5*l - 40 = a. Let j(h) = 3*h**2 + 4*h - 1. What is the remainder when j(3) is divided by l?
18
Suppose -11*r = -346 + 60. Suppose 4*d = 29 + 7. What is the remainder when r is divided by d?
8
Suppose -n + 22 = -3*q + 8*q, 4*n - 3*q = -4. Calculate the remainder when n is divided by 1.
0
Let m = 11 + -3. Let d(c) = -9*c - 4. Calculate the remainder when d(-2) is divided by m.
6
Let k(f) = -3*f - 2. Calculate the remainder when 27 is divid