 remainder when ((-4)/6)/(3/(-117)) is divided by 9?
8
Suppose 0*k = k - 53. Let f = 13 + 5. Calculate the remainder when k is divided by f.
17
Suppose 3*p = 34 + 5. Let l = p + 29. What is the remainder when l is divided by 11?
9
Let h(p) = -p - 1. Let s(z) = z. Let w(j) = -4*h(j) - 5*s(j). Let t(f) = -f**2 - 16*f - 21. Let a be t(-15). Calculate the remainder when 29 is divided by w(a).
9
Let z = 8 - 3. Calculate the remainder when z is divided by 3/(-1 + 3 + -1).
2
Calculate the remainder when 40 is divided by -3*(1 - 70/15).
7
Let o be (-23)/7 - 2/(-7). Let d be 0 - ((3 - 2) + o). Suppose -f - d*f = -39. Calculate the remainder when 37 is divided by f.
11
Let c(q) = -q**3 + 5*q**2 - 3. Suppose -4 = z - 5*v + 2, 5*v + 10 = 5*z. Calculate the remainder when 51 is divided by c(z).
12
Suppose -20 = 4*i - 5*i. Suppose -d - 3*d = -i. Suppose 0 = s - 5*s + 8. Calculate the remainder when d is divided by s.
1
Let k = 18 - -10. Let x be (3 - 6 - -17) + -2. Let m = -2 + x. Calculate the remainder when k is divided by m.
8
Let x(s) = -s - 2. Let z be x(3). Let f = 6 + z. What is the remainder when 1 is divided by f?
0
Let v be 56*-5*(-18)/8. Suppose 0 = 3*t + 2*t - v. Let a = -87 + t. Calculate the remainder when a is divided by 20.
19
Let n(g) = 8*g**3 - 3*g**2 + 2*g + 1. Let t = 5 - -11. Suppose -7*a = -3*a + t, -2*q + a + 8 = 0. What is the remainder when n(q) is divided by 15?
12
Let q = -59 + 100. What is the remainder when 162 is divided by q?
39
Let n(k) = -4*k**2 + k. Let l be n(1). Let g(v) = -2*v**3 - 5*v**2 - 3*v - 2. Calculate the remainder when 29 is divided by g(l).
13
Let f(a) = -4*a**2 + 2*a + a**3 + 6*a**2 - 4*a**2. Let u = 46 - 44. Calculate the remainder when f(u) is divided by 3.
1
Let b(q) = -q**2 - 3*q. Let o be b(-6). Calculate the remainder when 53 is divided by o/45 - 72/(-5).
11
Suppose -255 = -74*z + 71*z. Calculate the remainder when z is divided by 34.
17
What is the remainder when (-16)/(-2)*(-50)/(-10) is divided by 22?
18
Suppose 4*m + b - 50 = -6, -2*m + 22 = -2*b. What is the remainder when m is divided by 6?
5
Let w = 34 + -13. Suppose s - 4*f - w = 0, -2*s + 7 = -s + 3*f. Calculate the remainder when 34 is divided by s.
8
Let o = -1 - -3. Suppose -4*n - 20 = -4*v, -2 = 4*n - o*n. Suppose 0 = -v*l + 3*d + 3 - 2, 0 = -l + 3*d - 11. What is the remainder when 10 is divided by l?
2
Let n(r) = -r**3 + 8*r**2 + r - 5. What is the remainder when n(6) is divided by 15?
13
Let z = 6 + 3. Let x = -5 + z. Suppose 3*a - 13 = x*y, 17 = 5*a + 3*y - 5*y. Calculate the remainder when 8 is divided by a.
2
Calculate the remainder when 11/4*(12 - (14 + -6)) is divided by 5.
1
Suppose 10*t = 14*t - 156. Calculate the remainder when 154 is divided by t.
37
Let a(n) = 9*n**2 + 1. Let t be a(1). Suppose 5*x = -3*q - 4 + 57, 5*x = -t. What is the remainder when q is divided by 8?
5
Suppose 2*x - 20 = -0*x. What is the remainder when 19 is divided by x?
9
Let u(a) = -10*a + 1. What is the remainder when 103 is divided by u(-2)?
19
Let j = -260 + 271. Suppose -3*g - 4*l + 13 = 0, -g - 2*l - 3*l + 8 = 0. What is the remainder when j is divided by g?
2
Let z = 3 - 0. Let n be 6656/39 - (-4)/(-6). Suppose z*l = -2*l + n. Calculate the remainder when l is divided by 12.
10
Suppose 4*a = -l + 114, -a + 23 = 4*l - l. Calculate the remainder when a is divided by 13 - -4*(-6)/8.
9
Let k be (-3 - 0) + 0 - -60. Suppose 5*z - j + 0*j = 75, 2*z + 5*j = k. What is the remainder when 1/(2/(-120)*-2) is divided by z?
14
Suppose 4*x - 16 = 3*g, 2*g + 0*x + 8 = 2*x. What is the remainder when -3*(g - (-84)/(-9)) is divided by -2*(3 - 2) - -17?
13
Calculate the remainder when (-105 + 0)*8/(-20) is divided by 11.
9
Calculate the remainder when (-39 - 0)/(2/(-4)) is divided by 20.
18
Suppose 675 = -4*k + 9*k. Calculate the remainder when k is divided by 46.
43
Let x = -142 + 177. What is the remainder when x is divided by 19?
16
Suppose -1 = c - 12. Let k(d) = 2*d**2 - 11*d + 1. What is the remainder when k(8) is divided by c?
8
Suppose -m - 9 + 12 = 0. Suppose -m*c - 140 = -8*c. What is the remainder when c is divided by 10?
8
Let f(o) = -12*o**2 - 2*o. Let j(t) = t. Let l(n) = -f(n) - 3*j(n). What is the remainder when l(-1) is divided by 7?
6
Suppose -o - 1 - 11 = -c, 0 = -3*o + 6. Calculate the remainder when 23 is divided by c.
9
What is the remainder when 38 is divided by (-31)/(-3) + 15/(-45)?
8
Let a be 10/14 - (-4)/14. Calculate the remainder when (-53)/(6/(-3) + a) is divided by 18.
17
Let u = 4 + 22. What is the remainder when 51 is divided by u?
25
Let c(j) = -j**3 - 4*j**2 - 6*j - 6. Suppose -3*h - 2*h - 7 = -4*y, 0 = 2*h - y + 1. Calculate the remainder when c(-3) is divided by ((-2)/h)/(-4 + 3).
1
Suppose -3*u - u + 400 = -2*d, -4*u + 398 = -3*d. Calculate the remainder when u is divided by 26.
23
Let n(x) = 2*x**2 + 9*x + 3. Calculate the remainder when n(-6) is divided by 8.
5
Suppose j = h - 13, 4*h + j - 47 = 6*j. Calculate the remainder when 177 is divided by h.
15
Let q be -4 + -3 + (2 - 0). Let j = 12 + q. What is the remainder when 13 is divided by j?
6
Let h(l) = -l**3 + 10*l**2 - 6*l - 5. Calculate the remainder when 41 is divided by h(9).
19
Suppose g + 2*n + 1 = -14, g - 5*n = 13. Let y = g + 14. What is the remainder when y is divided by 3?
1
What is the remainder when -1*11*(-15 - -14) is divided by 3?
2
Let l(u) = u**3 + 15*u**2 + 14*u + 16. Calculate the remainder when 77 is divided by l(-14).
13
Suppose 0 = -13*u + 5*u + 128. What is the remainder when 78 is divided by u?
14
Suppose 5*x - v - 370 = -95, -5*v = -3*x + 165. What is the remainder when x is divided by 10?
5
Suppose -218 = -3*y - 0*y - j, 0 = 2*y + 3*j - 157. What is the remainder when y is divided by 15?
11
Suppose 28 = 7*o - 7. Calculate the remainder when 35 is divided by o.
0
Suppose 4*b - 22 = 2*b. Calculate the remainder when 2/(-13) - 16830/(-390) is divided by b.
10
Let l(u) = 3*u**2 - 25*u + 4. Calculate the remainder when l(9) is divided by 5.
2
Suppose f = 3*k + 2*f - 190, 4*k - 253 = -f. What is the remainder when k is divided by 22?
19
What is the remainder when 25 is divided by 2*3/9*(1 + 20)?
11
Suppose 5*v + f = 10, -3*v + 4*f = -v - 4. Suppose -v*g - 96 = -4*q + 3*g, q - 24 = 5*g. Calculate the remainder when 70 is divided by q.
22
Let n(y) be the third derivative of -y**6/24 + y**5/15 + y**4/8 + 2*y**2. Let a = 0 + 17. What is the remainder when n(-2) is divided by a?
16
Let a(p) = 2*p - 8. Let b be a(7). Let u = -13 + b. Let k = u + 12. Calculate the remainder when k is divided by 2.
1
Let c(b) = b + 14. Calculate the remainder when 34 is divided by c(-11).
1
Let q = 31 + -10. Calculate the remainder when q is divided by 11.
10
Suppose 1 + 1 = a. Let h = 30 + a. Let o(k) = -k**3 - 6*k**2 - 3*k - 1. What is the remainder when h is divided by o(-6)?
15
Let f = -20 + 24. Calculate the remainder when f is divided by 2.
0
Let y(q) = -3*q + 38. Suppose l + 4*g = 12, 3*l + 2*g + 3 = 19. Let a = l + -1. What is the remainder when a is divided by y(12)?
1
Let q(o) = 3*o**2 + o + 1. Let t be (6/18)/((-2)/(-12)). Let n(d) = -2*d**2 + 2*d + 2. Let z be n(t). Calculate the remainder when 30 is divided by q(z).
8
Suppose 4*w - 12 = -0*w. Let s = 30 - 28. Suppose s*d + 176 = 5*c - 0*c, -w*c = -d - 105. What is the remainder when c is divided by 12?
10
Suppose -2*k + 66 = -0*k. Suppose 0*u = 4*d + 4*u + 44, -5*u = -3*d - k. Let j = d - -20. What is the remainder when 17 is divided by j?
8
Let v = 51 + -1. Let p(a) = -a**3 + 4*a**2 + a + 1. Calculate the remainder when v is divided by p(3).
11
Suppose 0 = 4*i - 15 - 17. What is the remainder when 37 is divided by i?
5
Suppose -3*k + 1 = -2*k, q + 4*k = 6. Suppose -5 = -y, 5*r - 2*r - y - 1 = 0. Let g = 4 - r. Calculate the remainder when q is divided by g.
0
Suppose 0 = -2*w - w. Suppose w = -2*l - 2, 5*t - 4*l - 40 = 3*t. Suppose -b + 2 = -t. What is the remainder when b is divided by 11?
9
Suppose 0 = 4*t - 9*t + 245. Calculate the remainder when t is divided by 10.
9
Let i be (-1)/(-2 + 21/12). Let a(o) = o**2 - 2*o + 5. What is the remainder when 49 is divided by a(i)?
10
Suppose -h + 4*w + 1 = 0, 5*h = w + 4*w + 50. Suppose -30 = -3*c + 3*j, j + 2*j = 4*c - 37. Calculate the remainder when h is divided by