 82. What is the remainder when c is divided by 6?
5
Suppose -2*g = -7*g - 4*z + 132, 3*z = -4*g + 105. Suppose 0 = -3*h - 41 - 22. Let y = -8 - h. What is the remainder when g is divided by y?
11
Let v(d) = 12*d + 3. Calculate the remainder when v(3) is divided by 14.
11
Suppose 2*q - 21 - 9 = 0. Suppose -42 = 3*k - 6. Calculate the remainder when q is divided by ((-2)/(-6))/((-1)/k).
3
Suppose -2 = 2*k - 46. Calculate the remainder when 23 is divided by 4/k - (-130)/11.
11
Suppose 6*i + 34 = 64. Let f be 64/3 + (-6)/(-9). Let b = 36 - f. Calculate the remainder when b is divided by i.
4
Suppose -u = -2*g + 1, 5*g - 1 - 3 = 4*u. Suppose 4*p - 52 = -g*p. Calculate the remainder when 49 is divided by p.
10
Suppose -63 = -l + k, 5*k - 7 + 27 = 0. Suppose -2*q = 2*c + 6, c - 9 = -q + 3*c. Calculate the remainder when l is divided by 8/q*(-5)/(-2).
19
Let s(y) = -3*y - 1. Suppose 3*m - 4*d + d = 15, 13 = 2*m + d. Calculate the remainder when s(-4) is divided by m.
5
Suppose -33 = -k - 3*o, -3*o + 0*o = -k + 45. Calculate the remainder when k is divided by 14.
11
Let k = 4 + 0. Suppose k = -f + 3*y, f - 4*y + 40 = 4*f. What is the remainder when 23 is divided by f?
7
Let v(z) be the first derivative of z**2/2 - 3*z - 3. Let l = 8 + -4. Calculate the remainder when 1 is divided by v(l).
0
Suppose -z = 2*z. Suppose 3*l - 16 - 30 = -4*r, -3*l + 6 = z. What is the remainder when -1 + (30 - (2 + -1)) is divided by r?
8
Suppose 3*i + 63 = 3*q - q, -2*q + 62 = -2*i. Let g be (-26)/(-10) - (-12)/q. Suppose l = g*l - 6. Calculate the remainder when l is divided by 2.
1
Suppose 0 = -0*f + f - 1. What is the remainder when -2 + f + (8 - 1) is divided by 4?
2
Let p(c) = -c - 6. Let s(q) = -q**2 + 5*q - 3. Let y be s(6). Calculate the remainder when p(y) is divided by 3.
0
Let l be 2 + -7 - (2 - 0). Let c(o) be the third derivative of o**6/120 + 2*o**5/15 + o**4/4 + o**3 + 4*o**2. Calculate the remainder when c(l) is divided by 5.
3
Let n(b) = 3*b - 8. Let s be n(4). Calculate the remainder when 29 is divided by ((-40)/(-12))/(s/12).
9
Suppose -23*g = -28*g + 215. What is the remainder when g is divided by 11?
10
Let o(x) = x**2 + 5*x - 3. What is the remainder when 164 is divided by o(-9)?
32
Let a(r) = 6*r - 6. Let t be a(4). Suppose -3*d + 3 = -t. Let o = 12 - d. What is the remainder when 14 is divided by o?
4
Suppose 125 = -2*f + 7*f. Suppose 2*o + 9 + 13 = 0. Let x = f + o. What is the remainder when 27 is divided by x?
13
Suppose 5*z - 6*z = -12. Let k = 42 + -21. Calculate the remainder when k is divided by z.
9
Suppose 11*w = 6*w - 170. Let x = w - -48. Calculate the remainder when 27 is divided by x.
13
Let q = -38 + 42. Calculate the remainder when 6 is divided by q.
2
Let h(o) = -o + 2. Let u be h(0). What is the remainder when 43 is divided by (-25)/(-5)*(u + 1)?
13
Suppose 0 = 4*y - 5*g - 135 - 116, 227 = 4*y + 3*g. Let f = -25 + 45. Calculate the remainder when y is divided by f.
19
Let b(j) = -j**2 + 7*j + 2. Let l = 1 - -4. What is the remainder when 46 is divided by b(l)?
10
Suppose -2 = -x + 36. Let u(k) = -k**3 - 7*k**2 + 5*k - 3. What is the remainder when x is divided by u(-8)?
17
Suppose 2*j - 33 = 39. What is the remainder when 104 is divided by j?
32
Suppose 4 = -3*a + 19. Calculate the remainder when ((-54)/5)/((-1)/a) is divided by 14.
12
Let z = 3 + -1. Suppose 2*f + 8 = 4*w, 2*w + z*f = f. Let c = 8 - w. Calculate the remainder when 19 is divided by c.
5
Let a(l) = -8 - l**2 + 9 + 0*l**2 + 2*l. Let v be a(3). What is the remainder when (-2)/v*(-2 + 4) is divided by 1?
0
Let l = -8 - -15. Let a(k) = -k + 10. Let c be a(l). Suppose -4*z = 1 + 3, -3*h + 78 = c*z. What is the remainder when h is divided by 14?
13
Suppose -7*m + 3*r = -3*m - 176, 0 = 5*m - 4*r - 221. Let u = m + -22. What is the remainder when u is divided by 11?
8
Let h = -39 + 164. Suppose -3*l = -1 - h. Calculate the remainder when l is divided by 22.
20
Let z = 77 + -20. Suppose 0 = 2*u + u - z. Calculate the remainder when 56 is divided by u.
18
Let q be 244/(-6)*12/(-8). Calculate the remainder when (3 + q - 2) + 3 is divided by 22.
21
Suppose 0 + 32 = 4*w - 2*r, 5*w - 40 = -3*r. What is the remainder when w is divided by 4?
0
Suppose -4*b + 12 = -f, 2*b = -2*f - 0*f + 16. What is the remainder when 14 is divided by f?
2
Let a = 21 + -7. What is the remainder when 53 is divided by a?
11
Let x(k) = -k**2 + 6*k + 7 + 0*k + 0*k**2. What is the remainder when 57 is divided by x(5)?
9
Let f(d) = -3*d - 31. What is the remainder when f(-17) is divided by 12?
8
Let s(i) = i**2 - i - 5. Suppose 7*m - 8*m = -59. Calculate the remainder when m is divided by s(5).
14
Let o = 57 - -19. What is the remainder when o is divided by 39?
37
Suppose -3*b - 3*x + 135 = 0, 93 = 2*b + 4*x - 1. Calculate the remainder when b is divided by 15.
13
Let v(a) = a**3 + 7*a**2 + 6*a - 6. Calculate the remainder when v(-5) is divided by 7.
0
Let f = 21 - -30. Calculate the remainder when f is divided by 13.
12
Let j(o) = -o**3 - 13*o**2 + 15*o + 12. Let d be j(-14). Let w = 3 - d. What is the remainder when 12 is divided by w?
2
Suppose 2*m = 5*r - 4*r - 22, m = 5*r - 146. What is the remainder when r is divided by 8?
6
Let j(s) = 9*s**2 + 5*s + 6. What is the remainder when 61 is divided by j(-2)?
29
Let t = -56 - -79. Let j = -110 + 154. What is the remainder when j is divided by t?
21
Let z be 18/(-12) + 342/4. Suppose 5*w - 44 = -4*l + 4, 4*w + z = 4*l. What is the remainder when 66 is divided by l?
15
Let f = 208 + -75. Suppose 4*u - f = -4*i - 49, 5*i = -5. What is the remainder when u is divided by 12?
10
Let h = -49 + 57. Calculate the remainder when 14 is divided by h.
6
Let g = 308 - 199. What is the remainder when g is divided by 28?
25
Suppose -5*k = 1 - 36. Let b = 11 - k. Calculate the remainder when 7 is divided by b.
3
Suppose -5*o = -4*x - 69, -2*o = 2*x - 12 - 12. What is the remainder when (-2)/(-2) + (22 - -1) is divided by o?
11
Let i(a) = 6*a**2 + a - 1. Let q(v) = -v - 19. Let l be q(0). Let h = l + 29. Calculate the remainder when h is divided by i(1).
4
Suppose 2*x = -x + 63. Calculate the remainder when x is divided by 6.
3
Suppose -115 = -n - 4*n. Calculate the remainder when 65 is divided by n.
19
Suppose 0 = s + 4*s - 25. Suppose -15 = s*i + 5*h, -3*h - 10 - 5 = 0. Suppose y + 31 = 4*y - i*f, 3*y + 4*f = 1. What is the remainder when 13 is divided by y?
6
Let o(r) = -5 + 5 + r**2 - 4. Calculate the remainder when 14 is divided by o(-3).
4
Let r = 16 - 5. Calculate the remainder when 43 is divided by r.
10
Let c be (12/10)/(3/110). Suppose -2*a = 2*j - c, 84 = 4*j + 3*a - a. What is the remainder when j is divided by (-14)/((0 - -2)*-1)?
6
Let v = -6 + 65. Calculate the remainder when v is divided by 20.
19
Suppose 30 = 2*y + y. Let w = -30 - -58. What is the remainder when w is divided by y?
8
Let o(a) be the first derivative of a**4/4 + 7*a**3/3 + 5*a**2/2 + 2*a - 4. What is the remainder when 14 is divided by o(-6)?
6
Let b(g) = -20*g - 1. Let f = -4 + 6. Suppose -5 = f*a + 3*a. What is the remainder when 36 is divided by b(a)?
17
Let k(u) = -u - 3 + u + u**2 + 3*u - 3. Calculate the remainder when 10 is divided by k(-5).
2
Let k(r) = -r**3 + 6*r**2 + 10*r - 6. What is the remainder when 43 is divided by k(7)?
13
Let s(m) = m + 9. Let p be s(-4). Suppose -p*j = -j - 4. Let k(r) = 11*r. Calculate the remainder when 20 is divided by k(j).
9
Let p = 110 + -45. What is the remainder when p is divided by 25?
15
Let f(w) = -22*w. Suppose 3*z + 4 = 1. Calculate the remainder when f(z) is divided by 12.
10
Let u(t) = -t**2 - t + 908. Let v be u(0). Let d = v - 362. Calculate the remainder when 4/(-18) - d/(-27) is divided by 7.
6
Let w be (-9)/(-12) - (-15)/(-4). Let u = w + 5. Suppose 0 = u*r - 0*r - 76. Calculate the remainder when r is divided by 13.
12
Let i(t) = t**3 - t**2 - 2*t + 2. Suppose -5*l + 18 = s, 0 = -5*l - 0 + 15. Calculate the remainder when 40 is divided by i(s).
12
Suppose 4*y - 11 - 5 = 0. Suppose -5*s + 3*k + 13 = 0, -4*k + 2 = y*s - 2. Calculate the remainder when 34 is divided by s/5 + 86/10.
7
Let h(x) = -x**2 - 9*x - 5. Let c be h(-8). Suppose -c = f - 15. Suppose 0*j + 5*j = 115. Calculate the remainder when j is divided by f.
11
Suppose 3*k