w(c) = -4*c - 2 + i*c - 5*c - c. What is the remainder when w(-4) is divided by 12?
10
Let l(f) = -f**3 - 12*f**2 + 10*f - 2. Let v(q) = -q**3 + 6*q**2 - 4*q - 3. What is the remainder when l(-13) is divided by v(4)?
11
Suppose 6 + 9 = 5*h. Suppose h*p - 62 = -5*z, 0 = 3*p - p - 8. Calculate the remainder when 38 is divided by z.
8
Let o be 3 - (2 - 2/2). Suppose 0 = 4*d - 2*d - o. Let b(g) = g**3 - 2*g**2 + 1. What is the remainder when d is divided by b(2)?
0
Let o be 2 - (-17 + -2) - 1. Let p = o + -6. Suppose 0*y = -y + 40. What is the remainder when y is divided by p?
12
Let z(x) be the first derivative of -3*x**2/2 + 2*x - 1. What is the remainder when z(-7) is divided by 13?
10
Let t(n) = 0*n**3 + 5 + 12*n - 16 - n**3 + 2*n**2 + 6*n**2. Let d be t(9). Calculate the remainder when (d/20)/((-2)/(-40)) is divided by 6.
4
Suppose 4*h = 3*f - 98, 8 = -h + 3*h. Calculate the remainder when f is divided by 13.
12
Let d = 0 + 4. Suppose 0*a = d*a - 124. Calculate the remainder when a is divided by 16.
15
Let f(y) = -3*y - 11. Let n(k) = -3*k - 10. Let s be ((-1)/(-3) - -1)*-3. Let w(u) = s*n(u) + 3*f(u). Calculate the remainder when w(5) is divided by 8.
6
Let u(b) = b + 1. Calculate the remainder when 67 is divided by u(6).
4
Let i(k) = k**2 + 8*k - 22. Let u be i(-15). Let h = u + -13. Calculate the remainder when h is divided by 18.
16
Suppose 0 = 2*g + 5*q - 97, 3*q = -2*g + 40 + 55. What is the remainder when g is divided by 24?
22
Let f = 0 - 1. Let y(x) = -12*x + 6. Let h(t) = -1. Let a(q) = f*y(q) - 4*h(q). What is the remainder when a(2) is divided by 12?
10
Let p(t) = 4*t**2 + t - 7. Calculate the remainder when p(4) is divided by 31.
30
Let j(r) = 2*r**3 + 3*r**2 - 3*r + 4. Let m(a) = 5*a - 1. Calculate the remainder when j(2) is divided by m(2).
8
Let w = 13 - 6. Let g be (-1 - 2)*(-6)/(-18). What is the remainder when w is divided by (g/(1/3))/(-1)?
1
Let c(h) = -h + 7. Let j be c(5). Suppose -j*m - 18 = 3*z + 2*m, 5*z + 5*m + 30 = 0. Calculate the remainder when 15 is divided by 84/10 - z/(-15).
7
Suppose 2*l + l = 0. Let f = l - -6. What is the remainder when f is divided by 4?
2
Suppose 0 = t + 2*t + 4*c - 26, 0 = 2*t - 2*c + 6. Let q = 3 + -1. Suppose q*i - 8 = -2. What is the remainder when i is divided by t?
1
Suppose 0 = 3*k - 6, 5*s = 2*s + 4*k + 127. What is the remainder when s is divided by 24?
21
Let o = 121 - 82. Suppose -a = 2*a - o. Let t = -9 - -34. Calculate the remainder when t is divided by a.
12
Suppose -5*o + o = -128. Calculate the remainder when 126 is divided by o.
30
Suppose 8*d - 3*d - 25 = 0. Suppose 12 - 25 = -o. What is the remainder when o is divided by d?
3
Let q be (11 - 3) + 24/6. Suppose 9*z + 282 = q*z. Calculate the remainder when z is divided by 24.
22
Let m(l) = -l - 6. Let a be m(5). Let t = 2 - a. Calculate the remainder when 51 is divided by t.
12
Suppose -z - 6 = -2*z - g, -5*g - 10 = -5*z. Suppose -39 = -3*h - z*y + 21, 3*y = 0. What is the remainder when h is divided by 7?
6
What is the remainder when 37*1 + (0 + -1 - -1) is divided by 14?
9
Suppose 0 = 2*v + 6 - 14. Suppose 3*l - 5 = v. Calculate the remainder when 5 is divided by l.
2
What is the remainder when ((-8)/(-10))/(-1 + (-49)/(-35)) is divided by 1?
0
Suppose -2 + 5 = 3*c. Suppose 3*p = f + 2, -3*f - p + c = 7. What is the remainder when 17 is divided by 10 + -4 + 2/f?
2
Calculate the remainder when 31 is divided by (-11)/(3 + -6 + 2).
9
Suppose -24 = -15*z + 12*z. Calculate the remainder when 45 is divided by z.
5
Let c be 3*4/2 + 0. Suppose 2*u + 4*y - 40 = c*y, 16 = -4*y. What is the remainder when ((-94)/3)/((-2)/3) is divided by u?
15
Let d(v) = 2*v**2 - 2*v - 7. Calculate the remainder when d(-3) is divided by 6.
5
Let n(w) = -7*w**3 + 13*w**2 - w - 10. Let s(a) = -3*a**3 + 6*a**2 - a - 5. Let f(l) = 2*n(l) - 5*s(l). What is the remainder when f(5) is divided by 12?
9
Suppose 6 = 3*w - 2*w. Let q be (-1)/((w/57)/(-2)). Suppose -f + q + 7 = 0. What is the remainder when f is divided by 14?
12
Suppose 9 = -7*j + 121. Calculate the remainder when j is divided by 5.
1
Suppose 2*s - 30 = -5*f, -3 = -5*s + 5*f + 2. Calculate the remainder when 9 is divided by s.
4
Let d = -73 + 49. Let i = 24 - d. What is the remainder when i is divided by 25?
23
Let x(f) = 2*f + 2. Let l be x(7). Suppose -s - 2 = l. Calculate the remainder when 18 is divided by (-86)/s - (-4)/18.
3
Suppose 0*a = -a - 22. Let u = a - -32. Let i = -49 - -55. Calculate the remainder when u is divided by i.
4
Suppose -6 + 140 = 2*l. What is the remainder when l is divided by 19?
10
Let q be 0*(-3)/(-6)*2. Let u be (q + 18)*(-18)/(-12). Suppose 4*k - u - 5 = 0. Calculate the remainder when 22 is divided by k.
6
What is the remainder when 176/48 - 2/3 is divided by 1?
0
Suppose -4*p + 215 + 10 = 5*o, -2*o + 90 = -5*p. Let a = -36 + 52. What is the remainder when o is divided by a?
13
Let d(q) = -3*q + 7. Let m be d(8). Let g = m + 31. What is the remainder when ((-3)/1)/(2/(-26)) is divided by g?
11
Suppose -9 = -0*g - g. What is the remainder when 18 is divided by g?
0
Suppose 4*k + 37 = -31. Let c = k - -41. What is the remainder when 71 is divided by c?
23
Let g = -20 - -35. Calculate the remainder when 17 is divided by (g/25)/(1/15).
8
Suppose -h = h - 48. Let x be (1 + -3)/((-2)/3). Suppose a = x*a - 26. What is the remainder when h is divided by a?
11
Suppose -4*c + 46 - 18 = 0. Let a(r) = r**3 + 8*r**2 + 9*r + 9. Calculate the remainder when a(-6) is divided by c.
6
Let s be (-52)/(-2)*(-2)/(-2). Suppose 4*x - s = -3*a, 0 = -a + 5*a + 4*x - 40. Let p(v) = v**2 - v + 41. What is the remainder when p(0) is divided by a?
13
Let h(l) = -l**2 - 20*l + 4. What is the remainder when h(-11) is divided by 21?
19
What is the remainder when 1096/40 - 6/15 is divided by 15?
12
Let o be (30/(-8))/(3/(-40)). Suppose -2*d - o = -4*d. What is the remainder when d is divided by 9?
7
Let c(b) = b**2 + 10*b + 4. Let p be c(-10). Suppose r - 5*r = -p. Calculate the remainder when 2 is divided by r.
0
Let k = -34 + 56. Let m = k + 11. Suppose 0 = 5*a - 3*i - m, -5*a = 4*i + 10 - 36. Calculate the remainder when 16 is divided by a.
4
Let u(x) = x. Let l be u(3). Suppose 3*y - l*g = 99, 4*y - 3*g = -2*g + 120. Calculate the remainder when y is divided by 15.
14
Let a = 8 + -5. What is the remainder when 19 is divided by a?
1
Suppose -m + 3*m - 124 = 0. Suppose 0 = -3*b + 16 + m. Suppose -2*h - 21 = -6*h + s, 5*h - s - b = 0. What is the remainder when h is divided by 2?
1
Let k = 27 - 25. What is the remainder when 3 is divided by k?
1
Let d(u) = -u**2 + u - 1. Let b be d(6). Let q = -22 - b. Suppose 0 = -4*o + 59 + 45. Calculate the remainder when o is divided by q.
8
What is the remainder when 73 is divided by 11 + 6 + -1 + -1?
13
What is the remainder when 39/(1 + -5 - (0 + -5)) is divided by 14?
11
Suppose 5*x + 2*x = 175. What is the remainder when (-2)/3 + (-442)/(-6) is divided by x?
23
Suppose -d = 4*d - 105. Let v(l) = l**2 + 2*l + 2. Let o be v(-2). Suppose 33 = 5*i - o*i. What is the remainder when d is divided by i?
10
Suppose 0 = y + i - 8, 3*i - 15 = -0*i. Suppose -y*n = -6*n + 102. What is the remainder when n is divided by 7?
6
Let c(g) = -g - 9. Let a be c(-11). Suppose 0 = 4*p - a*o - 76, -p - p = 3*o - 46. Calculate the remainder when p is divided by 7.
6
Let w = 12 + -10. What is the remainder when w is divided by 1?
0
Suppose -8*n = -50 - 118. Calculate the remainder when 62 is divided by n.
20
Let o(y) = -27*y - 39. Calculate the remainder when 343 is divided by o(-4).
67
Let i(r) = 45*r - 3. Let d be i(3). Suppose 5*x - d = x. Calculate the remainder when 63 is divided by x.
30
Let u be 8/(-3) + (-4)/(-6). Let r(g) = -g**3 + 5*g**2 + 9*g - 7. What is the remainder when r(6) is divided by u/((-1 + 0)/3)?
5
Let d(v) = -v**2 - 12*v - 15. What is the remainder when 33 is divided by d(-7)?
13
Let c(q) = 4*q**2 - 2*q - 1. Let j be 20/9 - 8/36. Suppose -4*n + 2*n - 3*w - 3 = 0, -3*w - 27 = -2*n. What is the remainder when c(j) is divided by n?
5
Let r(f) be the first derivative of 17*f + 1/2*f**2 + 2. Calculate the remainder when 18 is divided by r(-7).
8
Suppose 2*f + 0*f - 16 = 0. Calculate the remainder when 20 is divided by f.
4
Let j = -15 + 30. Suppose -