14*b - 13. Calculate the remainder when z(-12) is divided by 8.
3
Let j(v) = -5*v + 3. Calculate the remainder when j(-4) is divided by 8.
7
Suppose c + 11 = -2*j, 0*c + 4*c + 14 = -2*j. Let q = 5 + c. Suppose 4*z = 4*h - 32, 4*h - q*z + z = 37. What is the remainder when h is divided by 5?
3
Let z(j) = -j**2 + 4*j + 4. Let i be z(4). Suppose -5*h = -t - 61, h - 3*t - 17 = -i*t. Calculate the remainder when 38 is divided by h.
12
Let n = 34 - 13. What is the remainder when 40 is divided by n?
19
Let r(n) = -n**2 - 5*n + 6. Let a be r(-6). Suppose -3 = -3*t, 2*t + 8 = 5*u - a. Suppose -30 = -3*o - u*o. Calculate the remainder when o is divided by 2.
0
Let d be 1 + (-2 - 1) + 2. Let f = d + 11. What is the remainder when f is divided by 4?
3
Suppose -30 = 2*c - 7*c. Suppose 2 = 2*h - c. What is the remainder when 10 is divided by h?
2
Suppose 0 = -0*m + m - 7. Let b(c) = 2*c**2 - 6*c + 5. What is the remainder when m is divided by b(3)?
2
Suppose 4*f - 5*f = -29. Calculate the remainder when f is divided by 15.
14
Suppose -5*h + 5*c = -170, -4*h + c = -76 - 51. What is the remainder when h is divided by 17?
14
Let o(b) = -3*b - 11. Suppose -3*q - 20 = -4*s + q, -5*q - 23 = -3*s. Let f = 3 + s. Calculate the remainder when o(-6) is divided by f.
3
Let j(f) be the second derivative of 3/2*f**2 + 3/4*f**4 + 0*f**3 + 0 + 1/20*f**5 - f. What is the remainder when 8 is divided by j(-9)?
2
Suppose 24 = f - 27. What is the remainder when f is divided by 13?
12
Let n = -11 + 2. Let l(t) be the second derivative of -t**5/20 - 2*t**4/3 + 4*t**3/3 - t**2/2 + 19*t. Calculate the remainder when 21 is divided by l(n).
5
Let u = 29 + -4. What is the remainder when u is divided by 9?
7
Suppose 5*l - 6 - 64 = 0. What is the remainder when l is divided by 4?
2
Suppose 0*d - 1 = d. Let x(u) = -31*u. What is the remainder when x(d) is divided by 22*(0 + (-1)/(-2))?
9
Let c(k) = 2*k + 16. Calculate the remainder when 19 is divided by c(-3).
9
Let b(x) = -x**3 - 5*x**2 + 5*x + 23. Suppose 5*r - 295 = -5*p, 4*r + 3*p = 61 + 171. Calculate the remainder when r is divided by b(-6).
26
Let a(f) = f**2 - 3*f + 6. Let b(u) = 17*u**2 + 4*u + 2. Calculate the remainder when b(-2) is divided by a(5).
14
Suppose 4*l = 2*l + 2, q + 5*l = 16. Suppose -7 = 4*p + 1, 5*p + 1 = -b. Calculate the remainder when 12/(1/(24/b)) is divided by q.
10
Suppose 4*c = 2*p + 82, -6*p = -2*p + 20. Calculate the remainder when 53 is divided by c.
17
Suppose 0*l - 52 = -4*l. Suppose n - l = -2*c, 4*c - 11 = -3*n - 2*n. Let i = c + 2. Calculate the remainder when i is divided by 4.
3
Let i(d) = 25*d - 29. What is the remainder when 119 is divided by i(2)?
14
Suppose 3*c + c - 3*o - 5 = 0, -2*o - 10 = -4*c. Calculate the remainder when 12 is divided by c.
2
Suppose 2*o + 0*o - 404 = 0. Suppose -4*i + 407 = -5*w + 4*w, -2*i = -2*w - o. Let q = 149 - i. Calculate the remainder when q is divided by 16.
15
Let u = -40 + 75. Suppose n + 3*y = 2*y + 23, 2*n - 2*y = 46. Let d = n - 5. What is the remainder when u is divided by d?
17
Suppose 4*s - s = 159. What is the remainder when s is divided by 14?
11
Let q(p) = 2*p**2 - 4*p - 5. What is the remainder when q(4) is divided by 3?
2
Suppose -5*d + 308 = -247. Calculate the remainder when d is divided by 14.
13
Let q = 16 + -10. Calculate the remainder when 9 is divided by q.
3
Let z be (-63)/(-36) + (-3)/4. Let k(j) = j**2 + j - 2. What is the remainder when z + 0 + (-56)/(-2) is divided by k(3)?
9
Let h(s) = -s**2 - 10*s - 6. Suppose 4 = 2*g - g - 3*b, 12 = 3*g - 2*b. What is the remainder when h(-8) is divided by g?
2
Let j be -2*3/6 - -2. Let b = -18 + 82. Calculate the remainder when b is divided by 22/(j + 1 + -1).
20
Suppose -5*q = -3*q - 4. Suppose 0 = -q*j - 2*j + 3*g + 28, -2*g = 2*j - 28. Calculate the remainder when 37 is divided by j.
7
Suppose 2*y - 25 = -3*y. Suppose -2*s - 2 = y*q, q + 0*s = s + 1. Calculate the remainder when 11/2*10 + q is divided by 19.
17
Suppose 5*j = k - 154, -53 = 3*j - 3*k + 49. What is the remainder when 39 is divided by j/4*8/(-6)?
9
Let y = -36 - -50. Let l = y - 3. Calculate the remainder when l is divided by 4.
3
Let b(i) = i**2 - 7*i + 8. Let s = -1 - -8. Calculate the remainder when b(s) is divided by 5.
3
Let z(u) = -u**2 - 18. Let k be z(-10). Let g = -71 - k. What is the remainder when g is divided by 24?
23
Suppose 3 + 23 = -2*f. Let v = -9 - f. Calculate the remainder when 11 is divided by v.
3
Let d = 23 - 0. What is the remainder when d is divided by 12?
11
Suppose 0 = -5*v - v + 66. What is the remainder when v is divided by 4?
3
Let s be (-2 - 0)*5/(-2). Let m = 16 - s. What is the remainder when m is divided by 6?
5
Let s = -42 - -21. Let l = 34 + s. Suppose z - 3*z = 5*q - 89, 40 = z + q. What is the remainder when z is divided by l?
11
Let t = 84 - 54. Suppose -3*g + 26 - 2 = 0. Calculate the remainder when t is divided by g.
6
Calculate the remainder when 51 is divided by 25/(-10)*(-52)/5.
25
Calculate the remainder when 11/(660/(-24)) - (-12)/5 is divided by (-2)/(0 - 1 - 0).
0
Let d = 15 - 6. Suppose -8*w + 10*w = 4. Calculate the remainder when d is divided by w.
1
Suppose -40 = -i + 2*x, 5*i + 0*x - 188 = 4*x. Calculate the remainder when i is divided by 13.
10
Let o(t) = t**3 + 5*t**2 - t + 2. Let j be o(-5). Suppose -j*i = -9*i + 50. Calculate the remainder when i is divided by 14.
11
Let a = 23 - 35. Let t be ((-9)/(-6))/(9/a). What is the remainder when 32 is divided by ((-3)/9)/(t/66)?
10
Suppose -4*w = 12, 4*m - 4*w - 52 = -0*w. Calculate the remainder when 27 is divided by m.
7
Let w(o) = -o**3 - 2*o**2 + 9*o + 10. Suppose -48 = -x - 2*x. What is the remainder when x is divided by w(-4)?
4
Suppose -4*w + 5 = -11. Suppose -93 = -w*g + g. What is the remainder when g is divided by 11?
9
Suppose -5*r = -r + 260. Calculate the remainder when 85 is divided by (-1895)/r + (-2)/13.
27
Let f = 18 + 4. Let n = f - 14. Suppose n - 29 = -3*v. What is the remainder when 19 is divided by v?
5
Suppose 4*c + c = 10. Let v(w) = 4*w**3 - 2*w**2 - 3*w + 3. What is the remainder when 40 is divided by v(c)?
19
Suppose -3*s = -3*z + 69, 2*s - 32 = -4*z + 48. What is the remainder when 40 is divided by z?
19
Let b = -29 + 40. Suppose 4*v + 4 = 28. What is the remainder when b is divided by v?
5
Let h = -105 - -40. Let a = -9 - h. Calculate the remainder when a is divided by 29.
27
Suppose -3 = 5*w - 113. Let t(g) = g**2 - 4. Let s be t(0). What is the remainder when w is divided by (-3 - -2)*(s + -8)?
10
Let z(x) = x**3 + 8*x**2 - 9*x + 10. Suppose 0 = 3*w - 10 + 37. What is the remainder when 29 is divided by z(w)?
9
Let c(d) = -28*d - 1. Let w be c(-1). What is the remainder when (-1)/(-4) + w/4 is divided by 2?
1
Let x = 156 - 112. Calculate the remainder when x is divided by 8.
4
Suppose 2*b - h = 64 + 91, -3*h + 81 = b. Calculate the remainder when b is divided by 20.
18
Suppose -2 = -q + 15. Suppose 3*n - 127 = -31. What is the remainder when n is divided by q?
15
Let x(o) = o**2 + 9*o + 15. Calculate the remainder when x(-11) is divided by 5.
2
Let y = 37 - 26. Let h = 20 - y. What is the remainder when 35 is divided by h?
8
Let d = -15 + 54. Calculate the remainder when 76 is divided by d.
37
Suppose d - 13 = 67. Suppose 0 = 3*t - 7*t - d. Let f = 0 - t. What is the remainder when 38 is divided by f?
18
Let b = -18 - -35. Suppose 2*d - 5*q - 32 = 0, 2*q = 5*d - 21 - b. Let z = -1 + d. Calculate the remainder when 14 is divided by z.
4
Let o be (510/(-4))/5*-2. Suppose 0 = -2*t + 7 + o. What is the remainder when t is divided by 15?
14
Suppose m = 8 - 1. Let g be 0 + (-2)/3*-3. Suppose -4*k + 14 + 6 = 2*i, -g*k - 3*i = -18. Calculate the remainder when m is divided by k.
1
Calculate the remainder when 47 is divided by 0 + -3 - (-19 - 0).
15
Suppose 0 = -y - 2*y + 111. What is the remainder when y is divided by 10?
7
Let a(n) = n**2 - 6*n + 6. What is the remainder when 21 is divided by a(6)?
3
Let j(l) = 2*l - 6. Calculate the remainder when j(13) is divided by (-7)/2*(-10)/5.
6
Let g(n) = -n + 10. Let j be g(7). Suppose -2*v + 4*q = -68, j*q = 3*v + 4*q - 130. What is the remainder when v is divided by 11?
9
Let m be (-23 - 1)*8/12. Let d(o) = -3*o + 10. Let y be d(-8). Let i = m + y. What is the