). Suppose -4*r = w, -3*h = -3*r - 35 - 400. Suppose -4*u + h = u. What is the remainder when u is divided by 15?
13
Let l(z) = z**3 - z**2 - z + 1. Calculate the remainder when 43 is divided by l(3).
11
Suppose 4*t - 60 = -t. Let l = 41 - 18. Calculate the remainder when l is divided by t.
11
Let k(c) = 6*c**2 + 4*c. Let x be k(5). Suppose x = 2*w + 3*w. Suppose 2*n - w = 10. Calculate the remainder when n is divided by 12.
10
Let d(h) = h**2 + 2*h - 2 + 4*h**2 - 2*h**2. Let n be ((-6)/8)/(2/(-8)). What is the remainder when d(n) is divided by 16?
15
Let g = 57 - 43. What is the remainder when 24 is divided by g?
10
Suppose 69 = 4*z - 7. Calculate the remainder when z is divided by 5.
4
Calculate the remainder when (3 - (-158)/6)/((-4)/(-6)) is divided by 9.
8
Let t(w) = -6*w**3 + 2. Let x(z) = -z + 5. Let n be x(7). Calculate the remainder when t(n) is divided by 17.
16
Let r(f) = f - 4. Let z = 7 - 1. Let y be r(z). Suppose -4*x + 11 = -3*s, 3*x = 3*s + y*x - 4. What is the remainder when 7 is divided by s?
1
Let j be 13 - (1 - 0/(-1)). Suppose j + 6 = 3*y. Suppose -71 = -4*x - a, -5*a + 17 - 2 = 0. What is the remainder when x is divided by y?
5
Let i(a) = -a - 20. Calculate the remainder when 8 is divided by i(-25).
3
Suppose 4*h + 5*g - 36 = g, -23 = -3*h - 4*g. Let k = 1 - -4. Suppose 2*n = 2*d - 86, -k*d + 170 = 5*n - n. Calculate the remainder when d is divided by h.
12
Suppose 57 = 3*a - 15. Suppose -4*j + 2*j + a = 0. What is the remainder when 21 is divided by j?
9
Let y(k) = -19*k**3 + k**2. Let d be y(-1). Calculate the remainder when (72/10)/(3/d) is divided by 25.
23
Let x be 1/(-4) + 1/4. Suppose x = j + j - 20. Calculate the remainder when -1*3 + 1 - -31 is divided by j.
9
Let m = -50 - -55. What is the remainder when 29 is divided by m?
4
Suppose -3*h = -3, -4*n - 2*h + 15 = h. Calculate the remainder when n is divided by (6/(-4))/((-2)/4).
0
Let s = 3 + -1. Suppose 5*t - 60 = -s*l, -4*t + 5*l - 3*l = -66. Calculate the remainder when t is divided by 5.
4
Suppose -2*c - c + 6 = 3*n, -2*c - 5*n - 5 = 0. Suppose -276 = c*g - 1116. Suppose -39 = 3*l - g. What is the remainder when l is divided by 15?
13
Suppose 0 = 9*y - 11*y + 38. What is the remainder when 35 is divided by y?
16
Suppose 3*n = n + 3*t + 7, -n - 3*t - 1 = 0. Let s(k) = k - 1 + k**3 + 0 - 6*k**n + 3*k**2. What is the remainder when 5 is divided by s(3)?
1
Let d(c) = c**3 - 13*c**2 + 15*c + 16. Let f(n) = n**2 + n + 18. What is the remainder when d(12) is divided by f(0)?
16
Let o(u) = u**3 + u**2 + 2*u + 4. Let i be o(-2). What is the remainder when (-1)/i - (-1335)/20 is divided by 17?
16
Let c = -37 - -53. What is the remainder when 36 is divided by c?
4
Suppose -4*s + 72 + 48 = 0. Calculate the remainder when s is divided by 11.
8
What is the remainder when (1*(-22)/8)/(1/(-8)) is divided by 5?
2
Let y = 20 - 11. Let c(b) = b**2 + b + 42. What is the remainder when c(0) is divided by y?
6
Let f = -40 - -75. Let i = -22 + f. Calculate the remainder when i is divided by 5.
3
Let m = 1 + 1. Suppose -2*w + 12 = -m. Calculate the remainder when 26 is divided by w.
5
Let q be 5/(5/2) - 7. Let x be (12/(-15))/(2/q). Suppose 0 = 5*r + 4*p - 40, -2*p = x*r - 0*p - 14. What is the remainder when 35 is divided by r?
11
Let u = 155 - 150. Suppose 2*g - 11 = -4*x + 11, 4*x = -g + 9. Calculate the remainder when g is divided by u.
3
Suppose -g = 3*r - 5*g - 22, -3*g = 2*r + 8. Suppose -r*q + 3 = -y, y - 6 = -3*y - q. Let d = y + 0. What is the remainder when d is divided by 1?
0
Let x(n) = n**3 + 9*n**2 - 10*n + 17. What is the remainder when 269 is divided by x(-10)?
14
Suppose -2*a = g - 2*g + 66, -4*g + 255 = -5*a. What is the remainder when g is divided by 16?
12
Calculate the remainder when (-7 - -6)/((-1)/71) is divided by 24.
23
Let p = 233 - 140. What is the remainder when p is divided by 48?
45
Let c(f) = 3*f + 8. Let z be c(-6). Let g(b) = -b**3 - 9*b**2 + 11*b + 13. Suppose -3*s + 3 + 6 = 0. Calculate the remainder when s is divided by g(z).
0
Let y(x) = x**2 + 13*x - 4. Let p be y(-13). Calculate the remainder when 126 is divided by (-1 - p) + 27 + 2.
30
What is the remainder when 10/(-8)*-2*(-78)/(-3) is divided by 36?
29
Let s(h) = -2*h**2 + 4*h. Let w(n) = -n**3 + n - 1. Let d(z) = s(z) - 2*w(z). Suppose -2*u + 7*u - 130 = 0. Calculate the remainder when u is divided by d(2).
12
What is the remainder when 53 is divided by (-2*2/(-10))/(8/160)?
5
Let k be 9/3*(-2)/(-2). Let j be 2*(k/2 + 2). Let u(l) = 2*l - 6. Calculate the remainder when u(j) is divided by 5.
3
Let z(c) = 8*c - 2*c + 3 - 2*c + 2*c**2. Let a be z(-2). Suppose 0 = d + 1, a*d + 0*d = w - 19. What is the remainder when w is divided by 6?
4
Suppose -20 - 118 = -3*l. Let k be 465/12 + 1/4. Let i = k - 23. What is the remainder when l is divided by i?
14
Let o be 0/(-1) + 2 + 2. Suppose -15 = -5*c + 2*i, 0 = -5*c - i - o*i + 15. What is the remainder when 10 is divided by c?
1
Let y(v) = -19*v - 2. Calculate the remainder when 151 is divided by y(-1).
15
Suppose 0*x + 12 = 2*x. Let v = -2 + 5. Suppose -x*p + v*p = -3. What is the remainder when p is divided by 1?
0
Suppose 5*o = 92 + 138. Suppose -w + 2*z + 4 + 12 = 0, 4*w = -3*z + 42. Calculate the remainder when o is divided by w.
10
Let s = 3 + 2. Suppose 2*o - s*n = 4*o - 93, -5*n - 15 = 0. Calculate the remainder when o is divided by 14.
12
Suppose 5*l - 405 - 15 = 0. Calculate the remainder when l is divided by 29.
26
Suppose 4*b - 126 = -2*y, 2*y - 42 = -3*b + 55. Suppose 0 = q + 2 - 5. Suppose q*u + 0*u = 45. Calculate the remainder when b is divided by u.
14
Let f = -11 - -6. Let g(w) = -w**3 - 6*w**2 - 6*w + 2. Calculate the remainder when g(f) is divided by 3.
1
Let q = 132 + -113. What is the remainder when 55 is divided by q?
17
Suppose 3*k + 2*k - 10 = 0. Let n = -14 - -36. Calculate the remainder when n is divided by 7 + (-2)/k*-1.
6
Suppose 0 = 5*b + 4*p - 15, -12 = -3*b - b + 5*p. Calculate the remainder when 3 is divided by b.
0
Let c = 527 - 516. Suppose -58 = -k - 5*i, 3 + 0 = i. What is the remainder when k is divided by c?
10
Let b be (5/(-3))/((-2)/(-6)). Let c(t) = -3*t - 3. What is the remainder when 34 is divided by c(b)?
10
Let j = -13 + 16. Calculate the remainder when 4 is divided by j.
1
Let q be 2 + 2 - -2 - 2. Suppose u = -u + q. Calculate the remainder when 47 is divided by u/2 - 5*-3.
15
Let y(p) = p + 12. Let s be y(-6). Let g = s - 0. Let l(t) = -t**3 + 5*t**2 + 9*t - 9. What is the remainder when l(g) is divided by 4?
1
Calculate the remainder when (4/(-2))/(0 - 2) is divided by ((-77)/22 + 4)/(1/2).
0
Suppose -7*m + 12 = -9. Calculate the remainder when 14 is divided by m.
2
What is the remainder when 30/(-165) - 1346/(-22) is divided by 8?
5
Let r = 74 - 40. Calculate the remainder when 98 is divided by r.
30
Let c(f) = -f**3 - 6*f**2 + 7*f + 3. Let b(l) = -l**3 + 2*l**2 + 3*l - 3. Calculate the remainder when c(-7) is divided by b(2).
0
Suppose -1 = t - 4. Suppose t*m = -m. Suppose m = 2*z + 4*b - 12, z + b = -0*b + 8. What is the remainder when 29 is divided by z?
9
Let q(l) = 4*l**2 - 3*l + 13. Suppose p = 6*p - 40. Calculate the remainder when q(0) is divided by p.
5
Suppose 5*x - 497 = -112. Calculate the remainder when x is divided by 20.
17
Suppose -2*r + 21 = r. What is the remainder when 25 is divided by r?
4
Let m = 9 + -5. Let t = 4 + 1. Suppose -2*z = -2, 3*d - m*d = -t*z - 2. Calculate the remainder when d is divided by 2.
1
Let x be 6/18 - (-8)/3. What is the remainder when 3 is divided by x/1*2/6?
0
Let u = -46 - -76. Let j = u + -18. What is the remainder when j is divided by 3?
0
Let j = -41 + 57. Calculate the remainder when 63 is divided by j.
15
Let k be 2/9 - 25/(-9). Let m = k - 1. What is the remainder when 5 is divided by m?
1
Let w(g) = 2*g**2 + 8*g + 8. Let v(y) = y**2 + 4*y + 4. Let s(p) = 13*v(p) - 6*w(p). Suppose -44 = -4*i - 0*i. What is the remainder when i is divided by s(-4)?
3
Let b = 6 + 3. Calculate the remainder when b is divided by 5.
4
Suppose 0 = -5*f + 3*f + 4*p + 40, -f = 3*p - 40. What is the remainder when f is divided by 10?
8
Let j be 34/9 + (-22)/(-99). Suppose 0 - 40 = -j*d. Calculate the remainder when ((-2)/4)/((-2)/76) is divided by d.
9
Let z(a) = 3*a +