Calculate the remainder when 4/(-14) + (-102)/g is divided by 3.
1
Let a(h) = -h**3 + 9*h**2 + 10*h + 4. Let f be a(10). Suppose 3*y + 7 = 16, f*y + 4 = 4*c. Suppose -2*g + c*g = 2. What is the remainder when g is divided by 1?
0
Let p(x) = -2*x**3 - x**2. Calculate the remainder when 2 is divided by p(-1).
0
Let p be 1 + -4 - 5*-1. Suppose 18 = p*w - w. What is the remainder when 33 is divided by w?
15
Let r be ((-2)/4)/((-4)/(-32)). What is the remainder when 30 is divided by (-165)/(-10)*r/(-6)?
8
Let k(b) = b**3 + 8*b**2 + 6*b + 14. What is the remainder when 197 is divided by k(-6)?
47
Suppose 0*x + 5*x = -2*h - 15, -2*x = 10. Suppose 35 = h*t - 50. Suppose u + 26 = 4*b, -b + 5*u + 34 = 3*b. What is the remainder when t is divided by b?
5
What is the remainder when 8 is divided by (-13 + 1)*(0 + 3/(-9))?
0
Suppose 0 = f - 3 - 1. Calculate the remainder when 13 is divided by f.
1
Let v = 12 + -6. Let o = v - 1. What is the remainder when o is divided by 3?
2
Let x(j) = 11*j**2 - 26*j - 26. Let w(h) = 4*h**2 - 9*h - 9. Let m(z) = 8*w(z) - 3*x(z). What is the remainder when (-290)/(-14) - (-10)/35 is divided by m(5)?
10
Suppose -2*s = -6*s + 176. Suppose -4*j - 3*o = -44, -4*j - 2*o = -0*o - s. What is the remainder when j is divided by 4?
3
Let l(n) be the third derivative of -n**6/60 - 2*n**5/15 - n**4/6 + 5*n**3/6 + 4*n**2. Calculate the remainder when l(-4) is divided by 6.
3
Suppose 5*i = 15, -3*l + 2*i - 9 = -3*i. Let s be (-9)/(-12)*(6 - l). What is the remainder when -3 - ((-3)/s - 29) is divided by 14?
13
Suppose 4*d - 19 = 57. Let k(c) = -11*c + 4. Calculate the remainder when k(-3) is divided by d.
18
Let v(d) = -1 + 0 + 3*d**2 + 1 - 1. What is the remainder when 32 is divided by v(2)?
10
Let x(u) = u**2 - 2*u - 4. Let f be x(-5). Suppose 10 = -k + f. What is the remainder when 41 is divided by k?
20
Suppose 0*s = -4*s + 116. Let i = 0 + 3. Suppose i*p = 4*p - 15. Calculate the remainder when s is divided by p.
14
Let d = -6 + 8. Suppose 5*i + 25 = -o, 5*i + 13 + 7 = -d*o. What is the remainder when 11 is divided by (1 - -5)/(-5 - i)?
5
What is the remainder when 184*1 + 0 + 0 - 0 is divided by 17?
14
Suppose -3*p - 23 + 59 = 0. Let l = 22 - 1. Calculate the remainder when l is divided by p.
9
Suppose 0 = -0*d - d - 2. Calculate the remainder when (2/d)/((-2)/62) is divided by 8.
7
Suppose 6 = j - 4. Let k = 34 - j. What is the remainder when k is divided by 5?
4
Let t(v) = v**3 - 5*v**2 - v + 6. Let q be t(5). Calculate the remainder when (0 - 0) + 1*3 is divided by (4/10)/(q/5).
1
Let r be 12*(0 - (-1)/3). Suppose -r*v + 2*c = -36, -v - 3*c = -0 - 2. Calculate the remainder when 29 is divided by v.
5
Let r = 125 + -97. Suppose -g = 2, -3*g + 37 = 3*h + g. What is the remainder when r is divided by h?
13
Suppose 0*w - 20 = -4*y - 4*w, -3*y = -5*w - 55. Let c be 117/2 - 1/2. Calculate the remainder when (c/3)/((-4)/(-6)) is divided by y.
9
Suppose y = -n + 15, -5*y - 4*n = -20 - 58. Let q = -91 - -161. Calculate the remainder when q is divided by y.
16
Let a be (-4)/6*12/(-8). Suppose -v + 2 = -a. Calculate the remainder when 4 is divided by v.
1
Suppose 3*y = g - 17, 5*y = -2*g - 27 + 72. What is the remainder when 58 is divided by g?
18
Let a(l) = -l**2 + 10*l - 9. Let b(y) = -y**2 + 8*y - 1. Let o be b(8). Calculate the remainder when 27 + -1 - (4 + o) is divided by a(7).
11
Let k(i) = 2*i**2 - i - 2. Let w be k(2). Let q = 4 - w. Suppose -3*o + o - 29 = -3*z, q = 4*z - 2*o - 40. Calculate the remainder when 32 is divided by z.
10
Let f(j) = -1 - j + 0 + 6 + 4. Let c be f(5). Suppose c*x = 2*x + 4. What is the remainder when 5 is divided by x?
1
Let i = 24 + -62. Let h be 3/(12/i)*-4. Suppose 6*y = 4*y + h. What is the remainder when 36 is divided by y?
17
Suppose -20 = -8*h + 3*h. Calculate the remainder when -3 + 9 + (-9)/(-3) is divided by h.
1
Let j = 179 + -128. What is the remainder when j is divided by 13?
12
Let z(x) = x + 7. Let t be z(-7). Let w = 6 + -4. Suppose t = 4*n - 3*b + 4, 2*n = n + b - w. Calculate the remainder when 2 is divided by n.
0
Suppose 0 = -19*o + 23*o - 248. What is the remainder when o is divided by 13?
10
Suppose 4*h = 67 - 47. What is the remainder when 14 is divided by h?
4
Let u = 55 - 39. Calculate the remainder when 77 is divided by u.
13
Suppose 0 = 8*t - 11*t + 6. Calculate the remainder when -36*(0 + t/(-3)) is divided by 13.
11
Suppose 5*p + 33 = 4*r, -3*p = -r - 5*p - 8. What is the remainder when 59 is divided by (-2 - -12)/(1/r)?
19
Let z = -3 + 5. Suppose 10 + 14 = z*p. Suppose 3*i - 91 = -4*w, 0 - 2 = -2*i. Calculate the remainder when w is divided by p.
10
Suppose 3*v - 3*n = v + 48, -4*v + 96 = 4*n. Suppose 0 = -3*p + 5*p - v. Calculate the remainder when 34 is divided by p.
10
Let u = -2 + 4. Let g(r) = r**3 + 2*r**2 + 2*r - 1. What is the remainder when 37 is divided by g(u)?
18
Let z = 152 + -52. Calculate the remainder when z is divided by 13.
9
Suppose 0 = 3*j - 507 + 39. What is the remainder when j is divided by 40?
36
Let h(u) = 14*u**2 + 5*u - 6. What is the remainder when 34 is divided by h(1)?
8
Let c be 2/(-1 - (-158)/154). Let s = 12 + 39. Let t = c - s. Calculate the remainder when t is divided by 9.
8
Let b be 2/(-7) + 2/7. Let i(g) = -g**3 + 9*g**2 - 7*g + 9. Let c be i(8). Let k = b + c. What is the remainder when k is divided by 9?
8
Let h = 2 + 15. What is the remainder when h is divided by 6?
5
Suppose -p = -4*p + 18. Suppose 2*s + 11 = -1. What is the remainder when p is divided by 16/s*9/(-6)?
2
Let s be -5*1 + -2 + 3. Let a = s - -5. Suppose 2*u + 3*l + a = u, -u - l + 1 = 0. What is the remainder when 4 is divided by u?
0
Let u = 110 - 94. What is the remainder when 73 is divided by u?
9
Suppose 72 = -5*g + 8*g. What is the remainder when 117 is divided by g?
21
Let k = -23 - -108. Suppose -i - k = -6*i. Let v(z) = 7*z**2 - z. Calculate the remainder when i is divided by v(1).
5
Suppose -3*c + 48 - 3 = -3*s, 5*c + 4*s - 111 = 0. Calculate the remainder when 75 is divided by c.
18
Suppose b = 2*o - 5, 4*o - 7 = -2*b + 7. Suppose 3*n - 4*n = -s + 4, o*s - 4*n - 8 = 0. Calculate the remainder when 21 is divided by s.
5
Let d = -41 - -54. What is the remainder when 38 is divided by d?
12
Suppose -2*t = 5 - 1. Calculate the remainder when 46 is divided by 24/(((-9)/t)/3).
14
Let t(w) = -w**3. Suppose -5*o + 2*o - 12 = 0. What is the remainder when t(o) is divided by 22?
20
Let c(u) = -2*u - 7. Suppose 5*i - 5*w - 10 = 0, -4*i + 6 = -w - 2. Let y = -9 + i. What is the remainder when 13 is divided by c(y)?
6
Let d be (15/(-3*1))/(-1). Let i = d + 4. What is the remainder when 17 is divided by i?
8
Suppose -2*u + 138 = u. Let n(v) = 1. Let d(z) = -9*z. Let b(w) = -d(w) - 2*n(w). Calculate the remainder when u is divided by b(2).
14
Let v(g) = -2*g. Calculate the remainder when v(-4) is divided by (-46)/(-14) + 4/(-14).
2
Suppose 0 = 4*k - 2*w - 196, 3*w = 2*k + 4*w - 90. What is the remainder when k is divided by 10?
7
Let b(f) = -f**3 - 3*f + 2 + 12*f + 9*f**2 - f**2. What is the remainder when 6 is divided by b(9)?
0
Suppose -8 - 32 = -4*o. Calculate the remainder when 27 is divided by o.
7
Let q(s) = 3*s - 34. Calculate the remainder when 7 is divided by q(13).
2
Let u = -7 - -5. Let m(o) = -18*o - 1. What is the remainder when m(u) is divided by 12?
11
Calculate the remainder when 105 is divided by 25 - 10 - (-1 - 2).
15
Let r be 5/20 - 1/4. Suppose 0 = 3*w - 9 - r. Suppose 0 = -w*u + 44 - 14. What is the remainder when 29 is divided by u?
9
Let m(h) = h + 36. Calculate the remainder when 99 is divided by m(-9).
18
Let w(c) = -3*c + 64. What is the remainder when w(-12) is divided by 35?
30
Suppose -24 = 4*v - 228. Calculate the remainder when 203 is divided by v.
50
Let h(i) = 3*i**3 - 38*i**2 + 3*i - 36. Let q(n) = -n**3 + 13*n**2 - n + 12. Let l(w) = -4*h(w) - 11*q(w). Calculate the remainder when 11 is divided by l(9).
2
Suppose -4*z - 28 = -124. Let m = 21 + -12. Calculate the remainder when z is divided by m.
6
Let r(j) = j**2 + j + 27. What is the remainder when r(0) is divided by 7?
6
Let g = -13 + 34. Calculate the remainder when 82 is divided by g.
19
Let l = -20 - -28. Let h be (1/1)/(4/l). Suppose 2*d = h*y - 30, -2*y - 3*d + 6*d + 34 = 0. Cal