
15
Calculate the remainder when (-160)/(-15)*-2*(-9)/3 is divided by 17.
13
Let w = 4 - -5. Calculate the remainder when 51 is divided by w.
6
Let d = -31 - -75. Suppose -g + 2*g - d = 0. What is the remainder when g is divided by 23?
21
Let a(s) = -3*s - 3. Calculate the remainder when 101 is divided by a(-8).
17
Suppose 3 = -i + 15. Suppose 4*j - i = -4*p, j + 3*p - 4 = -5. Calculate the remainder when j is divided by 4.
1
What is the remainder when 83/2 + 6/(-12) is divided by (-4)/(-14) + (-864)/(-63)?
13
Let j = -4 + 6. Suppose -j*q = -3 - 1. Suppose 2 = -q*c + 3*c. Calculate the remainder when 4 is divided by c.
0
Let o(l) = l**3 + 9*l**2 + 8*l + 8. Let y be o(-8). Suppose p - 4 = y. Calculate the remainder when 45 is divided by p.
9
What is the remainder when 1*2*(19 + 3) is divided by 15?
14
Suppose 0 = 3*c + 2 + 4. Let y be 3/c*2/(-1). Suppose 264 - 42 = 4*t - q, -3*t = -y*q - 171. Calculate the remainder when t is divided by 19.
17
What is the remainder when 17 is divided by (30/(-8) + 3)*-12?
8
Let a = 0 + 4. What is the remainder when 15 is divided by a?
3
What is the remainder when -42*((-5)/5)/1 is divided by 22?
20
Let l(s) = -s**3 + 10*s**2 - 11*s + 10. Suppose 2*b = -3*b. Suppose 2*p = r + 13, 21 = 3*p - b*r - r. What is the remainder when l(p) is divided by 17?
16
Suppose -5*y - 3 = 2. Let w = 1 - y. Calculate the remainder when 4 is divided by w.
0
Suppose 183 = 4*b + 19. Calculate the remainder when 162 is divided by b.
39
Let x(b) = -b**3 + 6*b**2 + 2*b + 3. Let u(k) = -k**3 - 1. Let c(j) = 3*u(j) - x(j). What is the remainder when c(-4) is divided by (-18)/(1 + (-20)/8)?
10
Suppose 5*h + 5 = b, b + h - 20 = 3*h. Let u be (-1 + -2 + 2)*-43. Let s = u + -27. Calculate the remainder when b is divided by s.
14
Let a(s) = 2*s - 5. Let m be a(4). Let n = 9 - m. Let j(h) = h**2 - 4*h + 6. Calculate the remainder when j(5) is divided by n.
5
Suppose -l + 20 = 3*m, -5*l + 7*m + 114 = 8*m. Calculate the remainder when l is divided by 13.
10
Let t be (-36)/15 - (-6)/(-10). Let c be 10/((-2)/(-4 - t)). Let z = c + 16. Calculate the remainder when z is divided by 11.
10
Let y = 15 + -13. Calculate the remainder when 2 is divided by y.
0
Suppose -3*o = -2*v - 40, -41*o - 3*v = -46*o + 66. Let t(a) = a**3 - a**2 + 46. Calculate the remainder when t(0) is divided by o.
10
Suppose -z + 7 = -0*z - d, d + 29 = 3*z. Calculate the remainder when 31 is divided by z.
9
Suppose 0 = y - 6*y + 50. Suppose -2 = r - y. Calculate the remainder when 22 is divided by r.
6
Let x = 57 - 23. Suppose -w + 14 = 5. Calculate the remainder when x is divided by w.
7
Let i = -8 - -16. Calculate the remainder when (-11)/(-2*(-1)/(-4)) is divided by i.
6
Suppose -l - 6*c + 10 = -2*c, -18 = -4*l - 5*c. What is the remainder when (-28)/(-6) + 6/(-9) is divided by l?
0
Suppose 0 = q - 6 - 1. Suppose -1 - 9 = -5*l. Suppose l*s = -2*t + 52, 4*s = 3*t - t - 52. What is the remainder when t is divided by q?
5
Let l(i) = -i**3 - 10*i**2 - 12*i - 12. What is the remainder when 31 is divided by l(-9)?
1
Let q be 1*-4 - (-3)/(-1). Let s = 1 - q. What is the remainder when 13 is divided by s?
5
Let z = 9 - 5. Let k = -83 - -85. What is the remainder when z is divided by k?
0
Suppose 5*p + 5*y - 53 - 687 = 0, -4*y = 0. Suppose 2*r - 38 = -0*r. Calculate the remainder when p/6*(-9)/(-6) is divided by r.
18
Suppose 3*y - 135 = -0*y. Let h = y + -30. What is the remainder when 43 is divided by h?
13
Let d = -37 - -65. Suppose -4*b + b = 5*u - 30, u + 5*b = d. What is the remainder when 4 is divided by u?
1
Let q = 13 + 7. Calculate the remainder when q is divided by (-1)/3*11*-3.
9
Let w = 5 + -14. Let t = w + 30. Calculate the remainder when t is divided by 12.
9
Let t = 11 + -11. Let j = t + 19. What is the remainder when j is divided by 5?
4
Calculate the remainder when -11 - -55 - (3 - 0) is divided by 7.
6
Let w = 7 + 5. Suppose 2*t + 1 - 133 = 0. Calculate the remainder when t/4*8/6 is divided by w.
10
Let j be 3/(-2 + 28/8). What is the remainder when (-17)/((-6 - -3) + j) is divided by (-10)/8*(0 + -8)?
7
Suppose -4*g = -w - 75, -5*g + 2*w + 0*w = -93. What is the remainder when 38 is divided by g?
0
Let q(n) = -n**2 + 10*n + 2. Let y be q(10). Suppose y*m = -2*a + 48 + 8, -3*m + 110 = 4*a. What is the remainder when a is divided by 14?
12
Let p = -5 + 8. Let f be 3/((-2)/(-18)*p). Let h = f + -1. What is the remainder when 14 is divided by h?
6
Let b(x) = -x**3 - 4*x**2 - 4*x - 7. Calculate the remainder when b(-5) is divided by (43/4 - -2) + 5/20.
12
Let k = -15 - -33. What is the remainder when 33 is divided by k?
15
Let i = -73 + 137. What is the remainder when i is divided by 34?
30
Let p = -5 - -59. Calculate the remainder when p is divided by 11.
10
Suppose p - 3*z = -27 + 65, 3*p + 2*z = 169. What is the remainder when p is divided by 29?
24
Suppose 3*y = -2*y + 40. Let t = 19 - y. Calculate the remainder when 41 is divided by t.
8
Let x(h) = -h**3 + 3*h**2 + 2*h. Calculate the remainder when 12 is divided by x(-1).
0
Suppose -5*d - 3*q + 58 = 0, d + 2*q = 3*d - 20. What is the remainder when d is divided by 3?
2
Suppose 3 = 2*k - 75. Suppose -k = -5*d + 326. Suppose -d - 68 = -3*i. Calculate the remainder when i is divided by 12.
11
Suppose -4 - 3 = -z. Let x(f) = 28 + z - 4*f + 3*f. Calculate the remainder when x(0) is divided by 12.
11
Let z(k) = -4 + 22*k + k**2 + 2*k**2 - 29*k. Suppose 0 = 2*o - 5*o + 141. Calculate the remainder when o is divided by z(4).
15
Let b be (2 + 1)*-1 + 1. Let y = 0 - b. Calculate the remainder when 2 is divided by y.
0
Let n(f) = -f**3 - 5*f**2 + 20*f + 7. What is the remainder when 193 is divided by n(-8)?
37
Suppose 0 = -16*r + 15*r + 69. Calculate the remainder when r is divided by 36.
33
Suppose -13*x = -12*x - 4. Calculate the remainder when 7 is divided by x.
3
Suppose 4*s + 0*s = 0. Let q be (s - 3)*520/(-15). Suppose -4*d = -2*d - q. Calculate the remainder when d is divided by 18.
16
Suppose -j + 3 = -3*y, 0*j - 6 = -2*j. Let w = 20 + y. Calculate the remainder when w is divided by (2 - 0) + -3 + 8.
6
Let j = 6 - 4. Suppose q - j - 7 = 0. What is the remainder when 17 is divided by q?
8
Suppose -4 + 20 = 4*q. Let t(i) = 2*i - 6. Let h be t(q). Calculate the remainder when 1*-12*(-2)/h is divided by 7.
5
Suppose 2*p + 4*x + 1 = -1, -2*x = 3*p - 13. Suppose -6*f + p*f = 10. What is the remainder when 19 is divided by f?
9
Let q = -16 + 26. Suppose -3*i - q = -85. What is the remainder when i is divided by 9?
7
Suppose -b = -4*b + 30. Let n = -232 + 236. What is the remainder when b is divided by n?
2
Suppose -8 - 4 = -3*o. Let x(n) = n**3 - 3*n**2 - n + 3. Let h be x(o). Let m = h - 9. What is the remainder when 10 is divided by m?
4
Let r(g) be the first derivative of g**4/4 - g**3 - 4*g**2 + 5*g - 3. Calculate the remainder when r(5) is divided by 8.
7
Let s(r) = r**3 + 7*r**2 + 4*r - 7. Let a be s(-7). Let p = -18 - a. Calculate the remainder when p is divided by 10.
7
What is the remainder when 79 is divided by -40*((-3)/(-6))/(-1)?
19
Calculate the remainder when 42 is divided by -5*((-16)/(-20) + -3).
9
Let b be 14*(1/2)/1. Suppose b*k - 75 = 2*k. What is the remainder when 28 is divided by k?
13
Calculate the remainder when 6/33 - 416/(-11) is divided by 13.
12
Suppose r + r - 2*z - 2 = 0, 4 = z. Let k be -9 - 5 - 3*1. Let i = 2 - k. What is the remainder when i is divided by r?
4
Let k(j) = j**2 + 2*j - 6. Let m be k(4). Suppose -1 = t - m. Calculate the remainder when t is divided by 5.
2
Let s(d) = -d**3 + 4*d + 2. What is the remainder when 33 is divided by s(-3)?
16
Suppose 3*j - j = 86. Suppose 2*c - v - 21 = 0, -j = -4*c + v - 0*v. What is the remainder when 32 is divided by c?
10
Calculate the remainder when 21 is divided by -1 + (-3 - -27)/3.
0
Let u = -72 + 95. What is the remainder when u is divided by 12?
11
What is the remainder when (5 + -3)*1*89/2 is divided by 23?
20
Let w(x) = x - 6. Let a be w(8). Suppose -a*s = 3*s - 85. What is the remainder when s is divided by 6?
5
Let d(f) = -2*f - 2*f - f**2 + 3 - 2*f + f. Let u be d(-4). Let r = 23 - u. Calculate the remainder when r is divided by 6.
4
Suppose 8 = 6*u - 4*u. Calculate the remainder when 18 is divided by u.
2
Suppose 0 = -2*y + 7*y - 20