e remainder when -2 + 2 + 567/9 is divided by 32.
31
Let d = -6 + 17. Suppose f = -20 + 52. What is the remainder when f is divided by d?
10
Suppose 0 = 6*p - 3*p - 60. Calculate the remainder when 37 is divided by p.
17
Calculate the remainder when 27 is divided by 3/1 + -5 + 9.
6
Let k(h) = h**3 - 2*h**2 + 2*h + 4. Let z = -10 + 17. Calculate the remainder when k(3) is divided by z.
5
Calculate the remainder when 66 is divided by 32 + 3 + 4/(-4).
32
Let s = 91 - 56. Calculate the remainder when s is divided by 12.
11
Let a be 4 + -1 - 0 - 1. Suppose -2*u = -c - 26, -3*c - 13 = -u + a*c. Calculate the remainder when 50 is divided by u.
11
Let j(q) = -7*q + 1. Let l be j(-4). Let n = l + -12. What is the remainder when n is divided by 27/45 + 54/10?
5
Let x(u) = -u**3 - 10*u**2 + 8*u - 15. What is the remainder when 33 is divided by x(-11)?
15
Suppose -a = 4*d - 36, -218 = -4*a - 5*d - 63. Calculate the remainder when 157 is divided by a.
37
What is the remainder when 31 is divided by (3/2)/(2/4) - -13?
15
Let k be -1 - (2 + -4) - -2. Suppose 0*t - k*t + 3*u = 3, 3*u = 5*t - 5. Let p(d) = d**3 - 2*d**2 - 2*d + 2. What is the remainder when p(t) is divided by 9?
8
Let s(g) be the first derivative of 5*g**3/3 + 3*g**2/2 + 3*g - 9. What is the remainder when s(3) is divided by 20?
17
Let y(v) = v**2 + 11*v + 28. What is the remainder when 18 is divided by y(-9)?
8
Suppose 2*f + 0*f - 8 = 0. Suppose 3*d - r - 51 - 77 = 0, -d + f*r + 39 = 0. Calculate the remainder when d is divided by 15.
13
Suppose 2*x - 5*x = -r - 37, 5*x = 5*r + 45. Suppose 2*z = 3*s + 6*z + 8, s = 2*z + x. What is the remainder when 6 is divided by s?
2
Let i(r) = 33*r**3 + 2*r**2 - 1. What is the remainder when 133 is divided by i(1)?
31
Suppose -3*l + 70 = 2*l. Let s(j) = j**3 + 6*j**2 - 7*j + 8. What is the remainder when l is divided by s(-7)?
6
Let i(l) = -2*l + 4*l - 3*l + l**2 + l**2 - 3. Let s be i(3). Suppose -5*v + s = -18. Calculate the remainder when 17 is divided by v.
5
Let n = -14 - -17. Suppose -n*c - 15 + 117 = 0. Calculate the remainder when 65 is divided by c.
31
Let h(w) = -w**2 + 23*w + 15. Calculate the remainder when h(23) is divided by 1/(1/6 + 0).
3
Let u(o) = -o**2 - 13*o - 15. Let j be (-20)/6*3/1. Calculate the remainder when 42 is divided by u(j).
12
Suppose 4*o - 166 = -30. Calculate the remainder when 67 is divided by o.
33
Let x(q) = -2*q**3 - 2*q**2 - 5*q + 4. Let c be x(-4). Suppose -i = -3, 3*j = -2*i - 2*i + c. What is the remainder when j is divided by 13?
10
Suppose 0 = -2*b + 7 + 1. Let f = 5 + -4. What is the remainder when 0 - -11 - (2 - f) is divided by b?
2
Let f(i) = -i**3 + i**2. Let n(k) = 5*k**3 + 2*k**2 + 6*k + 1. Let a(c) = -4*f(c) - n(c). Calculate the remainder when 5 is divided by a(-5).
1
Let q(s) = -s + 10. Let j = 11 + -6. What is the remainder when 14 is divided by q(j)?
4
Let s be -1 - -2 - (1 + -6). Let x be (s/(-12))/((-1)/(-30)). Let a = x + 24. What is the remainder when 17 is divided by a?
8
Suppose 0 = t - 5*z + 11, -2*t + 3*z + 41 = 2*t. What is the remainder when 104/4 - (-2 - -1) is divided by t?
13
Suppose -6*x + 15 = -x - 5*q, 0 = -4*q - 12. Suppose -3*d - 3 = 0, -2*b + 75 = -x*d + d. What is the remainder when b is divided by 10?
8
Let k = -130 + 211. Calculate the remainder when k is divided by 7.
4
Let m(b) = 2*b + 22. Calculate the remainder when 108 is divided by m(3).
24
Let f(d) = d**3 + 2*d**2 - 2*d + 1. Let a = 5 - 8. Let b be f(a). What is the remainder when 30 is divided by 0 - (-16 + 0/b)?
14
Calculate the remainder when (-4)/(-6) + 246/9 is divided by (28/21)/((-12)/(-90)).
8
Let x(d) = d**3 - 1. Let t(p) = 3*p**3 + 6*p**2 - 5*p + 2. Let o(z) = -t(z) + 2*x(z). Calculate the remainder when 28 is divided by o(-7).
8
Let h(c) be the first derivative of c**3/3 - c**2/2 - 3*c + 1. Let n = 13 + -7. Calculate the remainder when h(-4) is divided by n.
5
Suppose 0 = 5*f - 0 - 15. What is the remainder when -3 - f/((-6)/44) is divided by (-45)/(-6)*(-12)/(-9)?
9
Let t(l) = l**2 + 2*l + 2. Calculate the remainder when t(3) is divided by 9.
8
Suppose -12 = -m - 2*a + 11, 3*a = m - 38. Let i(k) = k + 8. What is the remainder when m is divided by i(0)?
5
Let j(p) = -p**2 - 7*p - 1. Let r be j(-6). Suppose 0 = -r*y + 4*y + 15. Calculate the remainder when 43 is divided by y.
13
Let p(o) = o**3 + 13*o**2 - 6*o - 14. What is the remainder when 123 is divided by p(-13)?
59
Let m(h) = h**3 + 9*h**2 + h - 1. Let l be m(-9). Let n = l - -19. Calculate the remainder when 24 is divided by n.
6
Suppose i = 2*i. Let l(y) = -y**3 - y**2 + 10. Calculate the remainder when 38 is divided by l(i).
8
Suppose 0 = 53*s - 60*s + 21. Let b(p) = 11*p - 2. Let u be b(3). Suppose -s*x = -26 - u. Calculate the remainder when 37 is divided by x.
18
Let q = 7 + 5. Suppose -h + q = 2*k, 4*k = -h - 0*k + 22. Suppose -3*x = -0*x - 3. What is the remainder when h is divided by x?
0
Let a(p) = -p**3 - 3*p**2 + 5. What is the remainder when 28 is divided by a(-3)?
3
Let u = 52 - 38. What is the remainder when 54 is divided by u?
12
Let z(b) = 4*b**2 + b + 1. Let r be z(-2). Let i = 19 - r. What is the remainder when 9 is divided by i?
1
Let p = 12 - 8. Suppose -18 = l - p*l. What is the remainder when (-6)/(l/(-21) - 0) is divided by 11?
10
Suppose -15 = 5*y + p + p, -5*p + 5 = 4*y. Let n = y + 16. Calculate the remainder when 21 is divided by n.
10
Suppose -3 = -4*c + 1. What is the remainder when (7 + -2)*(c - 0) is divided by (-21)/(-9) + 6/9?
2
Suppose -285 = -5*m - w, -3*m + 3*w = -1 - 152. What is the remainder when m is divided by 15?
11
Suppose 0*n + n + 5 = 0. Let b = 6 - -2. Let g = b + n. What is the remainder when 3 is divided by g?
0
Suppose 2*u - 18 = 2*o - 6*o, 0 = 5*u - 4*o - 31. Let c = 13 - u. Let z = c - -9. Calculate the remainder when z is divided by 4.
3
Let k = 47 - 7. Let o = 1 - 1. Suppose o = -2*y + 7*y - 70. Calculate the remainder when k is divided by y.
12
Let t be (2/4)/(6/1284). Suppose 5*r = 2*f - 56, -3*r = 5*f + r - t. Calculate the remainder when f is divided by 6.
5
Let q = -3 + 53. Let j = q - 23. Calculate the remainder when j is divided by 14.
13
Suppose -3*v = -4*h + 6, -4*v + 3*h = -2*v + 5. Suppose -a + 4 = -v*z, -2*z + 4*z = 2*a - 6. Calculate the remainder when 3 is divided by a.
1
Suppose -3*m - 54 = 2*o, -58 = 5*m + 5*o + 27. Let r = m + 25. Calculate the remainder when (15*1 - 2) + 0 is divided by r.
3
Let p(a) = 3*a - 3. Suppose 5*r + 7*c = 2*c + 145, -3*c = -5*r + 185. Calculate the remainder when r is divided by p(4).
7
Calculate the remainder when 61 is divided by 5/25 + 158/10.
13
Suppose 12*d = -0*d + 360. Calculate the remainder when 268 is divided by d.
28
Let u(y) = y**3 - y**2 - 3*y. Let h be u(3). Calculate the remainder when ((-4)/7)/(5/(-70)) is divided by ((-6)/9)/((-2)/h).
2
Let m be (-2)/10 - (-14)/(-5). Let c = m - -46. Calculate the remainder when c is divided by 23.
20
Suppose 0 = -4*v + 436 + 2748. Suppose 0 = -o - 3*i - i - v, 0 = 2*o - 3*i + 1647. What is the remainder when o/(-30) + (-1)/5 is divided by 10?
7
Suppose 3*w + 5 = -2*w. Let k = 2 - w. What is the remainder when k is divided by 480/216 + 2/(-9)?
1
Let s(d) = d**2 - d + 1. Let h be s(2). Suppose -m + h*m = 42. Let u = m + -10. What is the remainder when 30 is divided by u?
8
Let f = -40 + 54. What is the remainder when 52 is divided by f?
10
Let g = -41 - -97. Let m be (0 + 2/(-4))*-76. Suppose 2*j = 4*j - m. What is the remainder when g is divided by j?
18
Let s(n) = 20*n**3 + 5*n**2 - 5. Let d(w) = 10*w**3 + 3*w**2 - 3. Let y(o) = -7*d(o) + 4*s(o). What is the remainder when 27 - (-1 - 0/1) is divided by y(1)?
8
Let z(i) = 4*i**2 - 4 - 2*i - 2*i**2 + 9. Calculate the remainder when z(4) is divided by 3*1/(6/20).
9
Suppose -20 = -x + 22. Calculate the remainder when x is divided by 11.
9
Suppose 0 = -2*o - 5 + 25. What is the remainder when 26 is divided by o?
6
Let q(y) = -4*y**2 - 3*y - 4. Let t be q(-4). What is the remainder when 736/t*(-14)/4 is divided by 24?
22
Suppose 0*x = -3*x + 405. Calculate the remainder when x is divided by 34.
33
Let o(j) = -j**3 - 8*j**2 + 14*j + 15. Let q be o(-10). Suppose -l - 2*l + q = 0. Suppose 10 = -5*h + l. What is the remainder when 9 is divided by h?
0
Let n(w) = -w