Calculate the remainder when 5/c*69*1 is divided by 8.
7
Suppose x - 11 = -0*x. Calculate the remainder when 20 is divided by x.
9
Let y(z) = z**2 - 10*z - 9. Calculate the remainder when 6 is divided by y(11).
0
Let b be 5/2*(-36)/(-10). Let y = b + -3. What is the remainder when 11 is divided by y?
5
Let t = -14 + 36. Calculate the remainder when 87 is divided by t.
21
What is the remainder when (-112)/(-4) + 0 + -3 is divided by (6/9)/((-4)/(-78))?
12
Suppose 14 = y - o, 2*y + 4*o - 4 = -0*y. Calculate the remainder when 26 is divided by y.
6
Let k(w) = -w**3 - 2*w**2 - 3*w - 1. Let p(i) = -9 - i**2 - 6*i + 0*i - 2*i. Let v be p(-7). Calculate the remainder when 8 is divided by k(v).
3
Let f(g) = 3*g**3 - 8*g + 6*g**2 - 4*g**3 - g**3 - 7 + 3*g**3. Let i be f(-7). Suppose -35 = -5*h - i*h. Calculate the remainder when 13 is divided by h.
6
Suppose -o + t + 69 = 0, 0 = 6*o - 3*o - t - 211. Calculate the remainder when o is divided by 26.
19
Let n(i) = 3*i - 3. Let d be (-1)/(2/(-36)*1). Suppose -3*r + d = -12. Calculate the remainder when r is divided by n(3).
4
Suppose -3*f + 0*d + 49 = d, 4*f - 62 = 2*d. Let p = f - 6. Calculate the remainder when 25 is divided by (1 - p)*(-8)/8.
7
Let v be 7 + 1 + 1 - 2. Let i be (v/(-2))/(2/(-4)). What is the remainder when (-1*i)/((-1)/1) is divided by 3?
1
Let u = 52 + -26. Calculate the remainder when u is divided by 7.
5
Let l(v) = -v + 38. Calculate the remainder when l(17) is divided by 12.
9
Let v = -49 - -74. Calculate the remainder when v is divided by 9.
7
Let u(q) = q + 8. Let j be u(-8). Suppose j = 5*k - 5*n - 60, -k = -4*n - 4 - 5. What is the remainder when 38 is divided by k?
12
Suppose -102*y + 160 = -97*y. What is the remainder when 92 is divided by y?
28
Suppose -4*q + 5*q = 3. Suppose i - y = 27, 2*i + 0*y + q*y - 69 = 0. Calculate the remainder when i is divided by ((-16)/6)/(-2)*12.
14
Let l = -6 - -8. Let z(c) = 3*c - 2. Let w be z(2). Suppose -w*y + o + 15 = -4*o, -2*y + l*o = -10. What is the remainder when 19 is divided by y?
9
Suppose -2*n - n + 69 = 3*t, -t = 5*n - 15. Let j(l) = -l**2 - 7*l - 1. Calculate the remainder when t is divided by j(-5).
7
Suppose 6*m + 312 = 9*m. Calculate the remainder when m is divided by 21.
20
Let n(j) = -j**3 - 15*j**2 - 12*j - 9. Let d(v) = 2*v**3 + 29*v**2 + 24*v + 19. Let i(g) = -4*d(g) - 7*n(g). What is the remainder when 20 is divided by i(-10)?
6
Suppose -4*z - 4*d + 24 = 0, 0*d = 4*z - 3*d - 38. Let g(u) = 4*u - 2. Let o = -10 - -16. What is the remainder when g(o) is divided by z?
6
Let i = 15 - 11. Calculate the remainder when 10 is divided by i.
2
Let c = -1 + 5. Suppose -4*z + c*d + 44 = 0, 5 = z + 2*z + 4*d. Suppose -3*r - 68 = -z*r. Calculate the remainder when 33 is divided by r.
16
Suppose 3*v - 7*v = -44. What is the remainder when 20 is divided by v?
9
What is the remainder when 3/(-4) - 238/(-8) is divided by 15?
14
Suppose -3*i - 1 = -2*i + 5*y, 4 = -i - 2*y. What is the remainder when 13 is divided by (i - -3)*7/(-3)?
6
Suppose -5*t + 26 + 9 = 0. Suppose -y = -3*r - 9, -y + r + 5 = -14. Suppose 3*j + y = 3*f, -4*f + 24 = 5*j - 44. Calculate the remainder when f is divided by t.
5
Let h(i) = -i**3 + 8*i**2 + 7*i + 7. Suppose 2*d - 28 = 4*x, -3*d + 19 = -d - x. Calculate the remainder when h(d) is divided by 22.
19
Suppose t + 3 = 4*u, -4*u - u = -4*t - 12. Suppose 0*l - 2*l + 34 = u. Suppose -2*q + l = 3. Calculate the remainder when 13 is divided by q.
6
Let h(w) = -w**2 - 4*w + 4. Let r be h(-4). Suppose -4*o - 29 = r*p - 77, 0 = 2*p - 5*o - 3. Calculate the remainder when p is divided by 2/2 + 1 - -3.
4
Let m(u) = 3*u**2 + 5*u - 4. What is the remainder when 21 is divided by m(-3)?
5
Let x(q) = -q - 1. Let g(n) = 5 - 4*n - 4*n + 4*n. Let a(h) = -g(h) + 2*x(h). What is the remainder when 4 is divided by a(5)?
1
Let w = -22 + 25. Suppose -i = 2*i - 2*j - 59, -97 = -5*i + w*j. Calculate the remainder when 33 is divided by i.
16
Suppose 5*s = c + 4*c + 95, 2*s + c = 53. What is the remainder when s is divided by 5?
4
Let o(h) = h**3 + 5*h**2 - 14*h - 38. What is the remainder when 59 is divided by o(-6)?
9
Suppose 3*i + 2*t - 99 = 0, -5*i + 4*t = -t - 165. Calculate the remainder when 62 is divided by i.
29
Let p be (8/(-6))/((-6)/9). Suppose p*j - 3*m - 8 = 0, 3*m = j + m - 4. What is the remainder when 13 is divided by j?
1
What is the remainder when -80*(-1 + 6/10) is divided by 12?
8
Let z = 59 - 28. Calculate the remainder when 90 is divided by z.
28
Let x(t) = t**2 - t - 4. Suppose -5*q + 14 = -1. Calculate the remainder when 4 is divided by x(q).
0
Let g(o) = 2*o**2 - 6*o + 5. Calculate the remainder when 99 is divided by g(5).
24
Let a(s) = -s**2. Let d(p) = 6*p**2 - 4*p - 3. Let n(g) = -2*a(g) + d(g). Calculate the remainder when n(-2) is divided by 10.
7
Let z(j) = -j**3 - 6*j**2 - 3. Let i be z(-6). Suppose -35 = -k + 21. Calculate the remainder when k is divided by (-74)/(-4) + i/(-6).
18
Let w = 9 + 8. Calculate the remainder when -3 - -106*(-2)/(-4) is divided by w.
16
Let i = -8 + 6. What is the remainder when ((-110)/(-8))/((-2)/(-8)) is divided by 1/i*(-84)/3?
13
Suppose -2*x + 22 = 4*r, 0*r = 2*r + 8. Calculate the remainder when 73 is divided by x.
16
Suppose 59 = 4*i - 29. What is the remainder when i is divided by 8?
6
Let o(r) = -2*r**2 + 21*r - 16. What is the remainder when o(9) is divided by 2?
1
Let a(k) be the second derivative of -k**5/20 + 7*k**4/12 + k**3/6 - k**2 + k. Suppose -2*c - c = -27. Calculate the remainder when c is divided by a(7).
4
Suppose 2*a = -3*a + 15. Let p(q) = 4*q - 12. Calculate the remainder when p(5) is divided by a.
2
Let p = -65 - -109. Let z(f) = -2*f**3 + 2*f**2 - 1. What is the remainder when p is divided by z(-2)?
21
Let j = 80 - 42. Let h = 43 + -30. What is the remainder when j is divided by h?
12
Let q(i) = -1 + 3*i - 2*i**2 - 4*i + 9*i**2. What is the remainder when 20 is divided by q(-1)?
6
Let y = 9 + -6. What is the remainder when 6 is divided by y?
0
Let i = 8 + -5. Calculate the remainder when 12 is divided by i.
0
Suppose 1 = -2*f + 3. What is the remainder when f - 2 - (2 - 46) is divided by 11?
10
Let h(c) = -4*c**2 + 60*c + 16. What is the remainder when 40 is divided by h(15)?
8
Let r = 54 - 41. What is the remainder when 35 is divided by r?
9
What is the remainder when 104 is divided by (-6)/39 - 1100/(-52)?
20
What is the remainder when (-1 + 0)*3 - (8 - 169) is divided by 23?
20
Suppose -v + 21 = x, x + 3*v + 52 = 3*x. What is the remainder when x is divided by 13?
10
Suppose -5 = 54*i - 55*i. Suppose -m - 4 = -4*v - 0, 3*m + 5*v = 22. Calculate the remainder when i is divided by m.
1
Let g = -99 + 143. What is the remainder when g is divided by 13?
5
Let b(l) = -l + 9. What is the remainder when b(-5) is divided by 4?
2
Calculate the remainder when 8 is divided by (-2)/5 - 85/(-25).
2
Let d(t) = t**2 + 5*t + 6. Let c be d(-5). Suppose -j + 20 = -6*j, 5*p = -j + c. What is the remainder when (1 - p - 20)/(-1) is divided by 12?
9
Suppose 0 = -c - 2*p + 48, 4*c + 4*p - 46 = 3*c. Calculate the remainder when c is divided by 17.
16
What is the remainder when 91 is divided by (5 + 45/(-10))*64?
27
Let n(g) = -3*g**2 + 2*g + 6*g**3 - 4*g**3 + g**2 + 0*g**2. Calculate the remainder when 34 is divided by n(2).
10
Let m(f) = -4*f - 4*f + 4*f - 3*f. Calculate the remainder when m(-4) is divided by 10.
8
Suppose -4*g + 31 = -3*p, 0*p + 1 = 4*g + 3*p. Suppose 5*w + g*m - m - 39 = 0, 3*w = -2*m + 23. What is the remainder when w is divided by 5?
4
Suppose 8*i - 1464 = -0*i. What is the remainder when i is divided by 23?
22
Suppose -3*z + z = -26. What is the remainder when (-9*4)/(6/(-4)) is divided by z?
11
Suppose 5*g - 6 = 49. Suppose 0 = d + 2 + 3. Let x = 15 - d. What is the remainder when x is divided by g?
9
Suppose 3*a - 5*u - 49 = 0, -4*u = -5*a + 45 + 54. Calculate the remainder when 67 is divided by a.
21
What is the remainder when 13 is divided by ((-4)/3)/(-1*(-4)/(-30))?
3
Let s = 10 - -1. Calculate the remainder when 21 is divided by s.
10
Suppose 2*l + 6 = 4*n, -3*l = -0*n - n - 11. Let h(z) = 2*z - 6. Suppose 0 = -2*r - r + 12, 2*p - 4*r = 4. Calculate the remainder when p is divided by h(l).
2
Let z = 7 + -9. Let l(w) = 7*w**2 - 4*w - 5. Calcu