en ((-31)/5)/((-9)/45) is divided by 8?
7
Suppose 5*b - 123 + 0 = -4*m, 5*b + 5*m = 120. What is the remainder when b is divided by (2/6)/(3 + 402/(-135))?
12
Let g(o) = 4*o**2 - 7*o - 13. What is the remainder when g(-3) is divided by 16?
12
Suppose 4*g - 12 = 0, 0 = -5*o + g + 21 + 11. Calculate the remainder when 17 is divided by o.
3
Let a(q) = -q**3 - 15*q**2 + 14*q - 15. Calculate the remainder when a(-16) is divided by 12.
5
Suppose -4*c = w - 181, -4*c + 191 = -2*w + 5*w. What is the remainder when 131 is divided by c?
43
What is the remainder when 3 + -52*(-3 + 2) is divided by 14?
13
Suppose -55 = -4*a - 3*s, 3 = 2*s + 1. Let b(j) = 3*j - 1. What is the remainder when a is divided by b(3)?
5
Let m = -519 - -781. What is the remainder when m is divided by 44?
42
Let u = -31 + -2. Let z be (-2)/(-3) + 80/15. Let i = z - u. Calculate the remainder when i is divided by 14.
11
Suppose -4*v = v + 20. Let b(h) = -6*h + 2. What is the remainder when b(v) is divided by 9?
8
Let q = 18 - 4. Calculate the remainder when q is divided by 3.
2
Let o = 13 + 27. Suppose -y + 0*y = -o. Suppose -2*i = 8*i - 140. What is the remainder when y is divided by i?
12
Suppose -4*b + 0*b - 5 = 5*g, -3*g + 4*b - 3 = 0. Let a(u) = -u**2 + 10*u - 1. Calculate the remainder when a(8) is divided by (3 - 4)/(g/8).
7
Suppose 0 = l - 3*a - 2, -3*a + 66 = 5*l - 4*a. Calculate the remainder when 35 is divided by l.
7
Let k(o) = -o - 7. Let a be k(-7). Suppose a*g - 4*g = -24. What is the remainder when 10 is divided by g?
4
What is the remainder when (100/6)/(6/27) is divided by 19?
18
Suppose 4*j + 80 = 8*j. Calculate the remainder when 137 is divided by j.
17
Let w(r) = 4*r - 7. Suppose 5*m - 22 = 3*p, 0 = p - 2 + 1. Let d(h) = h**3 - 4*h**2 + 5*h - 1. Calculate the remainder when d(m) is divided by w(6).
15
Let h(t) = t**3 - 8*t**2 + 7*t + 3. Let q be h(7). Suppose 5*i - 124 - 43 = 3*o, 4*o = q*i - 98. Calculate the remainder when i is divided by 12.
10
Suppose -7*x - 12 = -10*x. Calculate the remainder when 6 is divided by x.
2
Suppose 10*t + 3*o = 5*t + 5, 11 = 4*t + o. Suppose 5*u - a - 5 = 2, 17 = t*u + 3*a. Calculate the remainder when 6 is divided by u.
0
Suppose -5 = -2*o - 1. Let l = o - 0. What is the remainder when l/(-8) + (-180)/(-16) is divided by 4?
3
Calculate the remainder when 1 + 1 + 1 + 36 is divided by 10.
9
Let p be (16/(-10))/((-26)/(-455)). Let y = 71 + p. What is the remainder when y is divided by 11?
10
Let b(u) = u + 19. What is the remainder when 56 is divided by b(0)?
18
Calculate the remainder when (10/4)/((-60)/(-1008)) is divided by 16.
10
Suppose 0 = -k - 2*k + 165. Suppose 4*f = 2*p - 14, f + 4*f + k = 5*p. Suppose -3*h - p = -8*h. Calculate the remainder when 5 is divided by h.
2
Let j be -2 - (5 + -2 + -100). What is the remainder when 54 is divided by 3/7 + j/7?
12
Suppose 28 = 2*t - 4*t - 3*m, 42 = -3*t - 4*m. What is the remainder when 1 - (t - 2/1) is divided by 5?
2
Suppose 3*i - 8 = -2*o - 0*o, 4*o + i = 26. Let g be 2/(-5)*5/(-1). Suppose 16 = g*v + 2*v. Calculate the remainder when o is divided by v.
3
Suppose 3*r - 9 = -0. Let g be (1 - -1) + -1 + -1. Suppose g = u - r. What is the remainder when 10 is divided by u?
1
Suppose 4*v - 16 + 0 = 0. Suppose -2*f + 16 = -6*f, -g = v*f + 12. What is the remainder when 10 is divided by g?
2
Let h = -7 + -3. Suppose 5*d - 14 = -5*m + 4*m, -5*d + 5*m + 20 = 0. What is the remainder when 2/h - (-72)/10 is divided by d?
1
Let p = 11 - 8. Suppose 3*z - 3*m = 45, -p*z + 2*m + 33 = -11. Calculate the remainder when ((-246)/(-4))/(-3)*-2 is divided by z.
13
Let s(l) = 9*l**2 + 5*l - 5. Let q be s(4). Let i = q - 94. Calculate the remainder when i is divided by 17.
14
Let h be (2/4)/(8/272). Suppose -3*o - p + h = 0, -5*o - 3*p + 17 = -10. Calculate the remainder when 16 is divided by o.
4
Let a(z) = z**2 + 7*z. Let y be a(-6). Let o be (y - 73)/(2/2). Calculate the remainder when 59 is divided by (-1)/(-4) + o/(-4).
19
Let f(m) = -11*m + 5. Let p(j) = -23*j + 11. Let y(v) = 9*f(v) - 4*p(v). Calculate the remainder when 42 is divided by y(-2).
12
Suppose 4 = j + 1. Suppose 3*q - j*m = -15, -8 = -q - q - 4*m. Let x = 5 - q. Calculate the remainder when x is divided by 4.
3
Let x(c) = -c**2 - c + 8. Suppose 4*y = 2*y + 10. Suppose y*h = 2*o + 23, 2*h = -3*o + 2*o + 11. What is the remainder when x(0) is divided by h?
3
Let f(k) = -k**3 - k**2 + k + 2. Suppose 5*w - 8 - 2 = 0. Suppose -6 - 8 = -w*n. Calculate the remainder when n is divided by f(-2).
3
Let g = 0 - -9. Let y(j) = j**2 - 5*j + 11. What is the remainder when y(8) is divided by g?
8
Suppose -h = -15 - 2. What is the remainder when -3 + 3 - (0 - 32) is divided by h?
15
Suppose -8 = 2*c, 0*c - c - 29 = -5*q. Suppose 0 = -2*m - 5*a + 50, q = 5*m + a - 74. What is the remainder when 29 is divided by m?
14
Let q(s) = -s**2 + 14*s - 20. Calculate the remainder when 111 is divided by q(8).
27
Let b(o) be the second derivative of o**5/20 - o**4 + 2*o**3 + o. What is the remainder when 31 is divided by b(11)?
9
Let y(g) = 2*g**2 - 8*g + 9. Let b = 6 - 0. Let j = -26 + 38. Calculate the remainder when y(b) is divided by j.
9
Calculate the remainder when 68 is divided by 153/9 + 3/(-1).
12
Suppose 4 = 4*p - 3*p. Suppose z - k = -2*z + 4, z - p*k = 16. Suppose -l + 40 = 5*y - 30, z = 2*y - l - 28. What is the remainder when y is divided by 8?
6
Let r be 2 - (20/(-2) + 2). Let c be 16*(-2 - r/(-8)). Let p = 8 - c. What is the remainder when p is divided by 7?
6
Let o be (-2)/(-8) - 38/(-8). Let v(w) = 7*w**3 - w**2 + w. Calculate the remainder when v(1) is divided by (4/o)/(3/15).
3
Let l(b) = 2*b**2 + 8*b - 28. What is the remainder when 140 is divided by l(-8)?
32
Let g = -127 - -128. Let c = 6 - 3. Calculate the remainder when c is divided by g.
0
Let r(f) = f - 11. Calculate the remainder when 7 is divided by r(16).
2
Let f(d) = d**3 + 11*d**2 + 27*d + 8. Calculate the remainder when 49 is divided by f(-6).
23
Suppose -4*g - 4 + 16 = 0. Let k = 11 - g. Let y(p) = p**2 + 7*p + 3. Calculate the remainder when k is divided by y(-7).
2
Let k(i) = -i**3 + 2*i**2 + 3*i - 3. Let o be k(3). Let c = o + 2. Calculate the remainder when 16 is divided by c - -3*(-20)/(-6).
7
Suppose 372 = -2*k - 2*f - f, 3*k + f + 558 = 0. Suppose -3*c = -8 - 25. Calculate the remainder when (-6)/9*k/4 is divided by c.
9
Let z be -6*(1/1 - 2). Suppose -z*t - i = -3*t - 15, -3*t = 5*i - 27. Suppose -f = 5*p + 8 + 2, -12 = 3*p. What is the remainder when f is divided by t?
2
Let f(g) = -g**2 - 5*g + 6. Suppose -5*z = -y - 18, 6*z - 18 = -5*y + 4*z. Calculate the remainder when f(-5) is divided by y.
0
Suppose 2*z + 6*i - 2*i + 168 = 0, -2*z + 5*i - 195 = 0. Let m be (-6 + -207)*(-6)/9. Let s = z + m. What is the remainder when s is divided by 18?
16
Suppose 3*n = -3*c + 6, -4*c + 5*n - 2*n + 22 = 0. Suppose -l = c*j - 232, 2*j + l - 114 = -0*j. What is the remainder when j is divided by 31?
28
Let q(o) = -o**2 + 10*o + 16. Let j = 29 + -18. What is the remainder when q(j) is divided by 3?
2
Let i(u) = -u**3 - 27*u**2 - 27*u + 14. What is the remainder when i(-26) is divided by 4?
0
Suppose 195 = 4*o + 19. Calculate the remainder when 87 is divided by o.
43
Let y = 12 + -8. Suppose -4*x + 52 = -y. Calculate the remainder when x is divided by 4.
2
Suppose 0 = -4*o - 4*c + 8, 3*o + 0*c + 4*c = 4. Suppose 2*h + d = 14, 5*h - 53 = -d + 3*d. Calculate the remainder when h is divided by o.
1
Suppose -25 = -4*h + 23. Calculate the remainder when 45 is divided by h.
9
Let v(g) = 2*g + 1. Let m(t) = -t**3 + 5*t**2 + 2*t - 5. Let l be m(5). Let i be v(l). Suppose -i = -5*f + 4. Calculate the remainder when 8 is divided by f.
2
Suppose 5*o = o + 48. Let z = o + -8. Suppose 5*t = z + 26. Calculate the remainder when 17 is divided by t.
5
Suppose 0 = -7*v - 9 + 51. Calculate the remainder when 57 is divided by v.
3
Let k(z) = -z**3 - 7*z**2 - 10*z - 15. What is the remainder when k(-7) is divided by 8?
7
Suppose 0 = 2*n - 2*k - 36, -126 = -5*n - 3*k - 52. What is the remainder when (3 + 1 - 1) + 27 is divided by n?
14
Suppose 0 = 4*y - 4*k - 28, -1 + 16 = y + k. Let l(u) be the third derivative of -u**4/8 - u**3/3 - 2*u**2. Calculate the remainder when y is divided by l(-2).
3
Su