ppose 0 = 5*x + 5*c + 75, -5*x = 4*c - 0*c + 74. Let f = k + x. Calculate the remainder when f is divided by 4.
3
Let b be ((-32)/12)/((-4)/(-138)). Calculate the remainder when (b/(-6))/((-2)/(-3)) is divided by 8.
7
Suppose -3*p + 29 = -40. Calculate the remainder when p is divided by 6.
5
Suppose q - 6 = -2*x, -10 + 0 = -x + 3*q. Suppose 6 + 2 = x*v. Suppose 77 = 5*w + v*h + h, h + 61 = 5*w. What is the remainder when 25 is divided by w?
12
Suppose 0 = -4*n - 2*a + 28 + 6, -3*a + 23 = 2*n. What is the remainder when 12 is divided by n?
5
Let l = -29 + 42. Let k = l + -3. What is the remainder when 19 is divided by k?
9
Let c = -6 - -20. Let m = -33 - -59. What is the remainder when m is divided by c?
12
Let z(i) = -1 - 4*i + 5*i + 2*i. Calculate the remainder when 25 is divided by z(5).
11
Let f(j) = -j + 26. Calculate the remainder when 69 is divided by f(8).
15
Let p = 19 + -17. Suppose p*r - 8 = 16. What is the remainder when 47 is divided by r?
11
Let m(g) = 172*g - 13. What is the remainder when m(1) is divided by 23?
21
Suppose 4*c = 3*c + 6. Calculate the remainder when 17 is divided by c.
5
Suppose p + 79 = 4*z, 2*p - 32 + 0 = -2*z. Suppose 10 = 3*r - 11. Let n(u) = u**3 - 8*u**2 + 7*u + 10. Calculate the remainder when z is divided by n(r).
9
Let c(i) = -i**3 + i. Suppose 3*s + 4 = -2*h, 4*h - 5*h - 2 = -3*s. Calculate the remainder when 16 is divided by c(h).
4
Let h(o) = 36*o + 1. Let v be h(1). Suppose 3*p + 2*m - 29 = 0, 0*m + m = -4*p + v. Calculate the remainder when 26 is divided by p.
8
Let i(s) = s**2 - 2*s + 4. What is the remainder when 34 is divided by i(-3)?
15
Suppose 5*y = -0*c - 3*c + 64, 2*c + 4*y - 40 = 0. Calculate the remainder when 110 is divided by c.
26
Suppose l - 6 + 4 = 0. Suppose n - 36 = -3*m + l*n, 0 = 2*n. What is the remainder when 34 - 1*(-2)/2 is divided by m?
11
Suppose 23*o - 26*o = -126. Calculate the remainder when o is divided by 11.
9
Let k be (-4)/14 - 12/(-42). Suppose k = 3*d + 2*z + 6, 0*d + d - 3*z = -13. Let w(x) = -3*x - 4. What is the remainder when 23 is divided by w(d)?
7
Let x(i) = -i**3 + i**2 + 4. Let r be x(0). Let l = -5 + r. Calculate the remainder when l - -2 - 2/(-2) is divided by 1.
0
Let r = -7 - -6. Let z be ((-24)/(-3))/((-2)/r). Suppose 0 = -0*g + g + z*w - 25, 3*w - 74 = -4*g. Calculate the remainder when 32 is divided by g.
15
Let t(h) = 4 - 11 + 2*h - 1 - 1. Calculate the remainder when 13 is divided by t(7).
3
Suppose i - 6*i - 5*y + 120 = 0, -2*i + 3*y = -28. Calculate the remainder when 118 is divided by i.
18
Let f(t) = 3*t - 1. Let j be f(1). Suppose -j*o - 1 = -21. Let c = -120 + 124. What is the remainder when o is divided by c?
2
Let c(m) = -m**2 - m + 3. Let f be c(-4). Let t be (54/(-21))/(f/42). Suppose 2*n - t = 10. What is the remainder when 20 is divided by n?
9
Suppose 0 = 5*y - 2*y - x - 566, 0 = -x + 4. What is the remainder when y is divided by 32?
30
Suppose 45 = r - z, 4*r = -5*z - 63 + 216. Let b(x) = -3*x. Let a be b(-1). Let k = a - -19. Calculate the remainder when r is divided by k.
20
Suppose -2*i - 3*i = -5*v + 85, -5*v = -4*i - 82. Suppose -5*x + 271 = -2*d, -x + 2*d = -0*x - 59. Calculate the remainder when x is divided by v.
11
Suppose 5*k - 210 = -3*r, 4*k + 3*r = -2*r + 155. What is the remainder when k is divided by 16?
13
Let l(z) = 4*z + 2. Let p be l(-2). Calculate the remainder when 210/9 + 2/p is divided by 8.
7
Suppose -3*s - s - 37 = -c, 2*c + s = 92. What is the remainder when c is divided by 12?
9
Suppose -3*b - 7 = 14. Let x(d) = -d + 1. Suppose -3*o = -75 + 6. What is the remainder when o is divided by x(b)?
7
Let f(k) = -3*k - 8. What is the remainder when 29 is divided by f(-8)?
13
Let r(x) = 2*x**2 - 4*x - 7. Let y = -10 - -7. What is the remainder when 2/(-6)*y + 67 is divided by r(5)?
22
Let z be 2/(-11) - 4/(-22). Suppose w = 5*l + 27, -w - 2*l = -z*l - 27. What is the remainder when w is divided by 14?
13
Let u = -3 + 7. Suppose 0 = u*x - 7*x + 108. Suppose -t - 3 = 0, 3*h + 4*t - x = -0*t. Calculate the remainder when h is divided by 9.
7
Calculate the remainder when 25 is divided by 4/(-1) - 33/(-3).
4
What is the remainder when 4/8 - (-81)/6 is divided by 8?
6
Suppose 0 = 3*k - 2*m - 134, -3*k + 3*m + 33 = -2*k. Let q = k + -13. Calculate the remainder when q is divided by (-12)/(-7)*14/2.
11
Let a = 99 + -71. Let p be (-2)/5 - 24/(-10). Let b(z) = z**3 + 2*z**2 - 4*z + 2. What is the remainder when a is divided by b(p)?
8
Let q(x) = x + 7. What is the remainder when 15 is divided by q(-1)?
3
Suppose -22*p + 60 = -17*p. Calculate the remainder when 32 is divided by p.
8
Let q be (-2 + 2 + -1)*398. Let w = q + 562. Suppose 4*i + w = -2*p + 6*p, -2*p + 67 = 3*i. Calculate the remainder when p is divided by 13.
12
Suppose 33 = 5*r - 27. What is the remainder when 33 is divided by r?
9
Let j = 46 - 17. Suppose 39*r - 344 = 35*r. What is the remainder when r is divided by j?
28
Let u(r) = r**3 + r**2 + 2*r + 1. What is the remainder when u(3) is divided by 11?
10
Let v(b) = -8*b - 10. Calculate the remainder when v(-5) is divided by 8.
6
Let h(a) = -6*a**3 - 6*a**2 - 3*a + 5. Let l be h(-4). Suppose -5*m + l = 40. What is the remainder when m is divided by 11?
9
Let h = 5 - 2. Calculate the remainder when 31 is divided by (3 - 2)*h + 8.
9
Suppose -3*n = 4*i - 0 - 2, -n + 2*i = 16. Let u = 13 + n. Calculate the remainder when u is divided by 5.
2
Suppose 2*s - v = 38, -3*s - 4*v + 79 = -0*v. Calculate the remainder when 83 is divided by s.
20
Suppose 0 = -0*d - d + 11. Let r(w) = 6*w + 9. Calculate the remainder when r(d) is divided by 26.
23
Suppose 543 = 5*p + 2*u, -4*u + 127 = p + u. Suppose 3*g + 0 - 109 = 5*q, p = 3*g - 4*q. What is the remainder when g is divided by 9?
6
Suppose 0*t + 3*t - 15 = 0. Suppose t*u - 418 = -108. Let c = u + -10. What is the remainder when c is divided by 18?
16
Let d(j) = j**3 - 10*j**2 - 15*j + 11. Let w be d(11). Let c = w + 50. Suppose -2*h + 103 = c. What is the remainder when h is divided by 11?
10
Let i = 19 - 14. What is the remainder when 22 is divided by i?
2
Let j(o) be the second derivative of -3*o + o**4 - 1/20*o**5 + 0 + 8*o**2 + 0*o**3. What is the remainder when 30 is divided by j(12)?
14
Let n(i) = 5*i - 2. Let b be n(2). Suppose -r + b + 8 = 0. Calculate the remainder when 61 is divided by r.
13
Let u be (14 - -1)*(7 - 8). Let z = 29 + u. Calculate the remainder when 53 is divided by z.
11
Suppose 3*j - 5*x = 7*j + 9, -3*x + 5 = 5*j. What is the remainder when 8 is divided by j?
0
Suppose -5*h + 150 = 5*l, l - 10 = -3*h + 26. Suppose j - 73 = -11. Let d = j - l. What is the remainder when d is divided by 12?
11
Let j be (30/(-4) + 3)*2. Suppose -4*m - 3*q - 103 = 0, -3*m - 2*q = m + 102. Let k = j - m. What is the remainder when k is divided by 6?
4
Suppose 5*j = -2*i + 85, 3*j - 2 - 7 = 0. Calculate the remainder when i is divided by 18.
17
What is the remainder when 60 is divided by 28 - (-1 + (5 - 9))?
27
Suppose 0 = 3*z - 3*x + 9, -z + 2*x = -1 + 6. Let q be (0 - -2)*(-1)/z. Suppose q*j - 49 = -21. What is the remainder when j is divided by 5?
4
Suppose 2*i = -5*k - 5, 4*k = i + 2*i + 19. Suppose -28 = f + 3*f. Let z = k - f. What is the remainder when 22 is divided by z?
6
Suppose -2*y = -2*r + 4, -5*r + 3*y + 5 = -5. What is the remainder when 62 - (-1 - (-8)/r) is divided by 15?
14
Suppose -5*p = -10*p - 90. Calculate the remainder when 16 is divided by p/(-3)*(0 - -1).
4
Suppose 4*u - 36 = -0*u. What is the remainder when 26 is divided by u?
8
Suppose -u + 32 = 3*u. Suppose c = -5*v + 96, -3*c = 5*v - u*c - 90. Calculate the remainder when 75 is divided by v.
18
Let z(l) = -3*l + 3*l + l**2 - 6*l - 3. Suppose -56 - 4 = -4*n. Calculate the remainder when n is divided by z(7).
3
Suppose -2*g = d - 42, -g - 4*g + 4*d = -79. What is the remainder when 92 is divided by g?
16
Suppose s - 6 = 15. What is the remainder when s is divided by 8?
5
Let l = 8 - 5. Let d(r) = r**3 - 2*r**2 + r + 2. What is the remainder when 41 is divided by d(l)?
13
Suppose 3*g = -s + 88, -92 = -2*g - g - 5*s. Let q(c) = -c + 4. Let x(d) = d - 12. Let i be x(6). Calculate the remainder when g is divided by q(i).
9
Let g be (-2 - -2) + -1 - -172. Let c = 322 - g. Let o = c - 80. Calculat