3*g + 2*g + 7*g**2 + 0. What is the remainder when 46 is divided by h(-4)?
22
Suppose -5*y - 74 = -4*l, -71 + 29 = -2*l + 5*y. Calculate the remainder when 556 is divided by l.
12
Suppose 0 = -21*i + 31*i - 2830. Calculate the remainder when i is divided by 24.
19
Suppose -4*v = 54 + 10. Let j(z) = -z**3 - 15*z**2 + 15*z + 13. Suppose 3*h = -h + 60. Calculate the remainder when j(v) is divided by h.
14
Let y = 25 - 20. Suppose 1 = -p - 3*p - b, -5*p - 5*b = y. Suppose -4*n - n + 65 = p. Calculate the remainder when 35 is divided by n.
9
Let a(f) = -f**3 - 5*f**2 - 4*f. Let k = -5 - 2. Let r be (-2)/k + 37/(-7). What is the remainder when a(r) is divided by 8?
4
Let w = -502 + 596. What is the remainder when 277 is divided by w?
89
Let c(r) = r + 12. Let n be c(-9). Suppose -q - 2 = 5*y, q - 4*y = -n*q + 88. What is the remainder when q is divided by 62/6 + 1/(-3)?
8
What is the remainder when 314 is divided by 24180/165 - (-36)/(-66)?
22
Suppose -3*h - 7 = 6*d - 11*d, -5*h = -5. Suppose -y - 2*g = -3*y + 46, 5*g = d*y - 46. Calculate the remainder when 43 is divided by y.
20
Let d(u) be the first derivative of 2*u**2 - 15*u + 2. What is the remainder when 16 is divided by d(6)?
7
Let b(n) = 3*n + 178 - 175 + 4*n + n**2. Let p = 8 + -17. Calculate the remainder when b(p) is divided by 12.
9
Suppose 19043 = 166*l - 27*l. Suppose -26 - 162 = -4*n. What is the remainder when l is divided by n?
43
Suppose -3*z = l + 1 - 11, -4*l + 2*z + 40 = 0. Suppose -2*t - 3*t - 40 = 0. Let s(m) = -m**2 - 11*m + 4. Calculate the remainder when s(t) is divided by l.
8
Let h(b) = 21*b - 170. Calculate the remainder when h(12) is divided by 17.
14
Let k = -55 + 80. Let n = 30 - k. What is the remainder when 8 is divided by n?
3
What is the remainder when 5 + 38 + 4 - 4 is divided by 2?
1
Let c(n) = 21*n - 4. Let a be c(2). Let x = a + -25. Suppose -f - 6 = -q - q, -2*f = q - x. Calculate the remainder when q is divided by 3.
2
Let q(f) = f**2 - 2*f + 5. What is the remainder when (160 - 499)/(4/2 - 5) is divided by q(6)?
26
Let i(b) = b**2 + 3*b + 3. Let f be i(-3). Suppose -k - 3 = -z - f*z, 3*z - 8 = -5*k. Suppose -9 = -t + k. What is the remainder when t is divided by 4?
2
Suppose -5*j = -2*l - 76, -45 = -3*j - 3*l + 9. Let c = j - 7. Calculate the remainder when 32 is divided by c.
5
Suppose 7*o - 4598 = -4*o. What is the remainder when o is divided by 35?
33
Let y(x) = x**2 + x - 2. Suppose -m + 5 = -6*m - t, 0 = 4*m + 3*t - 7. Let k be ((-3)/m)/((-15)/(-20)). What is the remainder when 14 is divided by y(k)?
2
Suppose w = -7*w + 1080. Calculate the remainder when (-13)/(-52) - w/(-4) is divided by 16 + (-1)/(-2)*4.
16
Suppose 5*a = -3*p + 32, 0*p + 2*p - 3*a = -4. Suppose -p*y - 4*x + 11 + 5 = 0, -4*x = 2*y + 2. Let b = 10 - -5. Calculate the remainder when b is divided by y.
6
Let i = -1188 + 2145. What is the remainder when i is divided by 13?
8
Let j = 33 - 30. Suppose -m + 10 = h, h - 10 = -j*m + 2*h. Calculate the remainder when m is divided by 2.
1
Suppose 0 = 27*q - 19*q - 2360. Suppose 90 = 5*a - q. Calculate the remainder when a is divided by 40.
37
Suppose -3*c = 2*r + c + 22, -4*c + 3 = -3*r. Let n = r - -18. What is the remainder when 37 is divided by n?
11
Let c(l) = l**2 + 28*l - 25. Let d be c(-29). Suppose 3*t = 4*t - 180. Suppose q = d*q - t. Calculate the remainder when q is divided by 21.
18
Let n = -6 + 10. Let g(o) = o**2 - 4*o - 33. Let y be g(8). Calculate the remainder when -3 + (n - (-4 - y)) is divided by 2.
0
Suppose -34 = -2*a + 2*w, a - 3*w = -0*w + 19. Suppose 2*j = -0*j + a. What is the remainder when 15 is divided by j/2 - 1 - -1?
3
Let b = 9 + -11. Let f be 180/35 + b/14. Let n = f - -2. What is the remainder when 18 is divided by n?
4
Let w(f) = -16*f**3 - 2*f - 1. Let j = -9 - -8. Let t be w(j). Let c = 68 - t. Calculate the remainder when c is divided by 18.
15
Let d(o) = -2*o + o**3 + 2*o + 0*o + 9*o**2 + 6. Let q be d(-9). Suppose -q*m + 10 = -m, 4*c - 82 = -m. Calculate the remainder when 33 is divided by c.
13
Let w(v) = v**3 + 4*v**2 + 2*v + 1. Suppose -d - 4*j - 8 = -0, -3*d = -5*j - 27. What is the remainder when w(d) is divided by 47?
43
Let a(c) = -3*c - 1. Suppose 5*p - 3 = -w, -p = -6*w + 3*w + 9. Calculate the remainder when w is divided by a(-1).
1
Suppose y - 10 = -9. Suppose -2*c = 5*p - 21, 4*p - 2*c - 9 = -c. Calculate the remainder when p is divided by y.
0
Let h = -21 + 36. Suppose -4*l = l - h. Let t = -13 + 24. Calculate the remainder when t is divided by l.
2
Let s(f) = 4*f**3 - f**2. Let i be s(1). Suppose 5*y - 165 = i*k, -110 = -4*y + 2*k - 4*k. What is the remainder when 86 is divided by y?
26
Suppose 4*y - 4*h = -6*h - 16, -35 = 5*y - 5*h. Let z(x) = x**2 + 7*x - 2. Let c be z(y). Let t = c + 39. What is the remainder when t is divided by 10?
7
Suppose 2*g = -3*u - 114, -u - 256 = 4*g - 2*u. Let w = -27 - g. What is the remainder when 105 is divided by w?
33
Let j be ((-16)/(-20))/(2/5). Let o be j/(-11) - (-1161)/33. Let s = o + -13. What is the remainder when 87 is divided by s?
21
Suppose 0 = -j + 2*n + 64, n + 54 + 12 = j. Calculate the remainder when (54/36)/(0 + 6/j) is divided by 9.
8
Let k(f) = -58*f - 116. What is the remainder when k(-4) is divided by 25?
16
Suppose 0 = 4*b - 20, -5*n + 22*b = 19*b - 65. What is the remainder when 30 is divided by n?
14
Let k = -24 - -49. Let s be 6 + 6/(-8) + 15/20. Calculate the remainder when k is divided by (-1)/s + 85/6.
11
Suppose 8 = h - 4*v, 5 = h - 5*v - 6. Let l(z) = 3*z**2 + 7*z + 9. Calculate the remainder when l(h) is divided by 8.
5
Suppose -2*o + 3 = -5. Suppose -o*u - 4*c + 69 = 9, 2*u = -3*c + 33. Suppose 3*r + u = 6*r. Calculate the remainder when 10 is divided by r.
2
Let q = -796 - -944. Calculate the remainder when q is divided by 22.
16
Let u(c) = -4*c - 1. Let p be u(-10). Suppose -48 = -5*x - g - g, p = 4*x + g. Calculate the remainder when 77 is divided by x.
7
Let t(l) = 8*l - 18. Let g be t(6). Suppose 0 = 4*i - 22 - g. Calculate the remainder when 45 is divided by i.
6
Let r(y) = -22*y - 1. Let v be r(-1). Suppose x + v = 24. Let i = -14 + 20. What is the remainder when i is divided by x?
0
Let k(o) = o**2 + 9*o + 9. Suppose 26*f + 16 = 24*f. Let r be k(f). Suppose -g = -r - 5. Calculate the remainder when g is divided by 4.
2
Suppose r = 6*r - 50. Suppose -2*l - l = 5*f - 34, -4*l + 32 = 4*f. What is the remainder when f is divided by (-3)/1*r/(-15)?
1
Let f(y) = -y**2 + 13*y + 5. What is the remainder when 172 is divided by f(5)?
37
Let i(z) = -z**2 - 8*z + 3. Let c = -8 + 2. Let w = c + 0. What is the remainder when 43 is divided by i(w)?
13
Suppose 72 = 5*j + 4*c - 2*c, 0 = -3*j + 2*c + 56. Suppose -31*n - 37*n + 16095 = 77*n. What is the remainder when n is divided by j?
15
Suppose 2*b - 1 = p + 2, 0 = b + p - 9. What is the remainder when 1*222/24 - (-3)/(-12) is divided by b?
1
Calculate the remainder when ((-3)/(30/172))/(80/(-400)) is divided by 23.
17
Let j(k) = 4*k**3 - 3*k**2 - 6*k + 1. Let a be j(4). Suppose -a = -5*d + 3*h + 265, -d + 103 = 2*h. What is the remainder when d is divided by 12?
9
Suppose -l = 5*g - 109, -g + 0*g = 3*l - 257. Calculate the remainder when l/((-20)/(-5)) + 2 is divided by 7.
2
Let c = 53 - 51. Let t(o) = o**3 + o**2 + o - 3. Let z = 17 - 1. Calculate the remainder when z is divided by t(c).
5
Suppose i = -3*i + 332. Let w = i - -25. Calculate the remainder when w is divided by ((10/(-20))/((-35)/(-40)))/((-4)/154).
20
Let i(j) = 6*j - 16 - 14*j + 5. Suppose 4*x + 51 = -5*a, -x = -4*a + a. Calculate the remainder when i(x) is divided by 21.
19
Let o(l) = -63*l + 2. Suppose 3*t + 2 = t. Calculate the remainder when o(t) is divided by 22.
21
Let g(a) = -22*a + 2. Let p be g(-1). Let d = 23 - 10. Let w = p - d. Calculate the remainder when 43 is divided by w.
10
Let u = 180 + -266. Let c = 117 + u. What is the remainder when c is divided by 11?
9
Suppose -8*f + 3*f + 35 = 0. Suppose 9 = -3*h - 6, -212 = -4*d + 4*h. Calculate the remainder when d is divided by f.
6
Calculate the remainder when 301 is divided by ((-1122)/(-264))/(0 + (-2)/(-24)).
46
Suppose 10*q = 6*q + 16. Suppose -4*g + 0*u + u + 66 = 0, 72 = 4*g - q*u. Calculate the remainder when 123 is divided by g.
11
Suppose 5*g 