f + 0 - 4*f + 9*f**2 + f**3 - 2*f**3. What is the remainder when 35 is divided by p(8)?
17
Suppose 2*k - 2 = 4. Suppose -5*y + 7 = k*q, -2*q - y = -2*y - 9. Suppose q*n - 4*x = -71 + 199, 3*n - x = 96. What is the remainder when n is divided by 11?
10
Suppose -5*j + 1 - 71 = 0. Let b be 6/4 - j/4. Suppose -3*y = -b*y + 22. Calculate the remainder when y is divided by 6.
5
What is the remainder when 795/35 + 6/21 is divided by 14?
9
Suppose -4*o = 7 - 71. Calculate the remainder when 29 is divided by o.
13
Suppose 4*f - o - 6 = 0, 2*o = o + 2. Let d = 7 - f. What is the remainder when 8 is divided by d?
3
Suppose 6*i - 3*i - 2*y + 26 = 0, 5*i + 26 = -y. Let u = 14 + i. Calculate the remainder when 21 is divided by u.
5
Let i = -162 - -271. What is the remainder when i is divided by 37?
35
Suppose -2*r - 1 = 3. Suppose -w + 5*w + 16 = 0. What is the remainder when 9 is divided by 10/w*(0 + r)?
4
Suppose 8*j = 4*j + 232. Suppose -13 = -4*p - 5. Suppose -26 = h - p*h - 3*u, -h - 2*u = -24. What is the remainder when j is divided by h?
18
Let i = 50 + -38. Calculate the remainder when 58 is divided by i.
10
Calculate the remainder when (-600)/(-18)*(-6)/(-4) is divided by 13.
11
Suppose -3*m - 5*d - 13 = -m, -4*m - 11 = 5*d. What is the remainder when m is divided by 1?
0
Let z be (-1)/(-2 - (-6)/4). Let r be ((-6)/18)/(1/(-30)). Calculate the remainder when z/(-5) - (-244)/r is divided by 13.
11
Let r(k) = -14*k + 2. Let z be (-2)/(-7) + (-18)/14. What is the remainder when 61 is divided by r(z)?
13
Suppose -4*i + 36 = 4*w, -2 = 5*w - 5*i + 3. Suppose -2*p + w = 0, 4*a = -5*p + 49 - 3. What is the remainder when a is divided by 4?
1
Let c = 13 - 10. Suppose 2*y = -o + 10, 0*o - 3*o + 66 = -c*y. Calculate the remainder when 68 is divided by o.
14
Calculate the remainder when (1 - 3)/((-2)/63) is divided by 33.
30
Suppose -12*n + 10*n = -58. Calculate the remainder when 144 is divided by n.
28
Let h(w) = 5*w - 5. Let b(x) = -16*x + 14. Let n(a) = 2*b(a) + 7*h(a). Calculate the remainder when 37 is divided by n(9).
17
Let p(i) = 6*i + 6. What is the remainder when 34 is divided by p(2)?
16
Suppose -12 = -u - 5*m, 7*u - 4*u = 3*m + 36. Suppose 0 = -y + 4*y - 4*b - 46, 0 = y - 3*b - 7. Calculate the remainder when y is divided by u.
10
Let w = 74 + -49. Calculate the remainder when 99 is divided by w.
24
Suppose -325 - 403 = -4*x. Let k = x - 126. What is the remainder when k is divided by 19?
18
Let w = 168 - 91. What is the remainder when w is divided by 27?
23
Let x = -28 + 63. What is the remainder when x is divided by 14?
7
Suppose -2*j + j + 63 = 0. Calculate the remainder when j is divided by 17.
12
Let n(p) = p**2 - 2*p - 2. Let j be n(-3). Suppose -i - 3*y = 3*i - 56, 0 = -i - y + j. Calculate the remainder when 50 is divided by i.
16
Let h = 0 + 2. Calculate the remainder when h is divided by 8/10*((-102)/(-12) - 6).
0
Let d be (-16)/120 - (-77)/15. Suppose 0 = -d*m + 132 + 13. Calculate the remainder when m is divided by 6.
5
Calculate the remainder when 82 is divided by (-50)/(-3 - -1) - 3.
16
Let v = 0 - 0. Suppose v = -2*p + 29 + 41. What is the remainder when p is divided by 18 + (0 - 4 - -4)?
17
Let u(n) = n**2 - 13*n + 14. Let q be u(12). Suppose -q*c + 40 = -0*c. Calculate the remainder when c is divided by (-1 + 3)/((-4)/(-22)).
9
Suppose 2*i - 4*o = 28, -i - 3*o - 14 = -2*i. Suppose 3*l - 4*r = r - 134, 2*l = 2*r - 96. Calculate the remainder when 2/((-1)/l*2) is divided by i.
11
Suppose 0 = -5*p + 306 - 61. Calculate the remainder when p is divided by 17.
15
Let k(z) = z**3 + 8*z**2 + 7*z + 3. Let d = -7 + 0. Let l be k(d). Suppose 2*o = -2*c + 2, l = 4*c - 0*c + 5*o. Calculate the remainder when 3 is divided by c.
1
Let n(i) = -i**3 - 3*i**2 - i + 1. Let t be n(-2). Calculate the remainder when (-52 - 1)*-1 + t is divided by 14.
10
Suppose 0 = 5*l - 20, l - 5*l - 506 = -3*v. What is the remainder when v is divided by 35?
34
Let l = -7 + 11. Suppose -3*a + 7 = -11. What is the remainder when a is divided by l?
2
Let k be 7*6/(-15)*-10. Calculate the remainder when (-1)/(2/k*-2) is divided by (-16)/(-6) + 4/12.
1
Suppose 5*u + v - 9 = 131, -3*u + 92 = -v. Calculate the remainder when 56 is divided by u.
27
Suppose k + 3*y = 2, 3*k + 2 = -3*y + 8. What is the remainder when 10 is divided by k?
0
Let h(u) = u - 7. Let m be h(7). What is the remainder when 1/(3*1/33) is divided by 0 + m + 1 - -5?
5
Let u be 3*2/(-2)*-1. Let p = 25 - 18. What is the remainder when 10 is divided by 3*(p - 3 - u)?
1
Let o(c) = 2*c**2 - 5*c - 5. Let h(b) = b**2 - 7*b - 11. Let g be h(9). Suppose 3*t = g*t - 28. Calculate the remainder when o(5) is divided by t.
6
Suppose -20*j + 64 = -16*j. What is the remainder when j is divided by 5?
1
Let r(p) = -14*p - 3. Calculate the remainder when r(-2) is divided by 17.
8
Calculate the remainder when (-12)/3 + -2 + 83 is divided by 22.
11
Suppose -3*x - 2*x = 5. Calculate the remainder when 62 is divided by 24 - x/((-1)/3).
20
Let h(r) = r**2 - 13*r - 2. What is the remainder when h(17) is divided by 15?
6
Suppose 14 = 2*x - 4*i, -4*x + 3*i = -2*x - 16. Calculate the remainder when 28 is divided by x.
6
Let d be (3/(-4))/((-5)/20). Suppose d*q - 26 = -2*p, -4*q - 4*p + 3*p = -33. What is the remainder when 22 is divided by q?
6
Let b(y) = y**3 - 7*y**2 + 5*y + 8. Let z be b(6). Suppose -6*v + z*v = -72. Calculate the remainder when 51 is divided by v.
15
Suppose o + 4 = -2*x + 23, -x = 3*o - 42. Calculate the remainder when 24 is divided by o.
11
Let d(y) = -4*y - 5*y**2 - 4*y**3 + 4*y + 3*y**3 + 3 + y. What is the remainder when d(-6) is divided by 12?
9
Suppose 60 = 4*g - 2*p + 6*p, -2*g - 3*p + 25 = 0. What is the remainder when 178 is divided by g?
18
Let z = -14 - -22. Let j(y) = -y + 11. What is the remainder when z is divided by j(6)?
3
Let n = -24 + 27. What is the remainder when 13 is divided by n?
1
Let s(p) = p**3 + 13*p**2 + 14*p - 10. Suppose f - 3*t + 26 = 0, 5*f - 5*t + 64 = -16. Calculate the remainder when s(f) is divided by 27.
24
Suppose -177 = -4*k - 3*z + 192, k = -2*z + 86. What is the remainder when k is divided by 14?
12
Calculate the remainder when 55 is divided by (-21)/9*-3*1.
6
Let a(z) = -z**3 - 2*z**2 - z - 8. Calculate the remainder when 8 is divided by a(-3).
0
Let q = 234 + -454. Let m(d) = 2*d**3 + 3*d**2 - 2*d + 2. Calculate the remainder when m(2) is divided by q/(-24) - (-2)/(-12).
8
Let s = -9 + 14. Suppose -100 = -3*j + 2*z - 6*z, j = s*z + 8. What is the remainder when j is divided by 10?
8
Let y = 26 + -10. Suppose 0 = -3*a - 1 + 10. Suppose 0*x + a*c = 2*x - 33, 2*x = -5*c - 7. Calculate the remainder when y is divided by x.
7
Let d = -24 - -108. Calculate the remainder when d is divided by 22.
18
Let i = 3 + -6. Let q = 2 - i. Suppose f = 2*f - q. What is the remainder when f is divided by 3?
2
Suppose -4*a + 2*a + 4 = 0. Let q = 3 + a. What is the remainder when q is divided by 3?
2
What is the remainder when 24 is divided by 20/(-3)*12/(-5)?
8
Suppose 2*l = 5*l - 249. What is the remainder when l is divided by 21?
20
Suppose -3*c - 5*b = -87, -c + 5*b + 185 = 4*c. Calculate the remainder when c is divided by 2/(-13) - (-4)/(468/1071).
7
Suppose 2*n = -5*q + 24 + 24, -n - 2*q + 22 = 0. Let g(h) = h**2 - 5*h + 3. Let d be g(4). What is the remainder when 25 + (2/d - -3) is divided by n?
12
Let h(g) = -6*g - 7. Calculate the remainder when 38 is divided by h(-3).
5
Let c = 4 + -6. What is the remainder when ((-18)/(-15))/(-3)*-65 is divided by (-2 + c + 2)*-7?
12
Let x(s) = -s**2 - 19*s - 19. What is the remainder when x(-14) is divided by 13?
12
Let c be (-123)/(-39) + 4/(-26). Let h(z) = z**3 - 2*z**2 + z - 1. Calculate the remainder when 42 is divided by h(c).
9
Suppose -5*w - 4*z = -77, 0 = -z + 3. Suppose -3*l + 3 = -3. Suppose 5*v = -4*n + 238, v + 3*v + l*n = 194. What is the remainder when v is divided by w?
11
Let n = -73 + 106. What is the remainder when n is divided by (-1 + -35)*4/(-12)?
9
Let n = -5 - -7. Let j = 0 + n. Suppose l + 0 = 1. What is the remainder when j is divided by l?
0
Let a = -16 - -28. Let o(c) = -2*c + 7. Calculate the remainder when o(-8) is divided by a.
11
Let t(o) = 2*o - 3 + 0*o - 2 + 3. Let y(m) = 1. Let p(j) = -t(j) + 6*y(j). Cal