e remainder when (-1)/3 + (-440)/(-6) is divided by (1 + 37)*(-5)/(-10).
16
Let m(o) = o**3 + 5*o**2 - 4*o - 7. Let a(x) = 2*x + 5. Let q be a(-5). What is the remainder when m(q) is divided by 7?
6
Suppose 0 = -2*j - 2*v + 68, 3*j - 5*v - 72 = -2. Suppose -2*k - k + 48 = 0. What is the remainder when j is divided by k?
14
Let d(u) be the second derivative of -u**5/20 - 5*u**4/6 + 5*u**3/3 + 7*u**2/2 + 3*u. Calculate the remainder when d(-11) is divided by 5.
3
Suppose 0 = 5*r - 11 - 4. Suppose -r*t + 16 + 2 = 0. What is the remainder when 17 is divided by t?
5
Suppose -4*m - m = -95. Calculate the remainder when 37 is divided by m.
18
Suppose -d = 3*d - 12. Calculate the remainder when d is divided by 3.
0
Let y be (-4)/20 - (-16)/5. Suppose -y*n - n = -12. Calculate the remainder when n is divided by 2.
1
Suppose -5*w - 6 + 11 = 0. Calculate the remainder when 1 is divided by w.
0
Suppose -2*b + 80 = -5*a, 0*a + 2*a - 160 = -4*b. Let j = b + -19. Let d = 12 - 1. What is the remainder when j is divided by d?
10
Suppose -4*j = -3*j - 4. Suppose -2*c = 3*a + 10, 4 = j*a + 5*c + 22. What is the remainder when a/(-1)*(-21)/(-2) is divided by 11?
10
Let u = -20 + 30. Suppose 2*l - 11 = 11. What is the remainder when l is divided by 24/u*10/4?
5
Suppose -4*d + 8*d = 224. Let c(g) = g**2 - 3*g + 1. Calculate the remainder when d is divided by c(-3).
18
Let v = -69 + 100. Let b = 33 - 16. Calculate the remainder when v is divided by b.
14
What is the remainder when (86/4)/(2/4) is divided by 15?
13
Let c(u) = u**2 + 3*u + 5. Let w(k) = -k**3 + 13*k**2 + 2*k + 16. What is the remainder when w(13) is divided by c(-5)?
12
Suppose -5*j = 4*t - 5, 17 = t - 4*j - 0*j. Suppose 6 - 15 = -3*v. What is the remainder when t is divided by v?
2
Suppose -5*f = -3*b + 12, 4*f - 5 = -b - 1. Let r(d) = -d**3 - 7*d**2 - 9*d - 7. What is the remainder when r(-6) is divided by b + 2 + 4/(-2)?
3
Let d(v) = -29*v**3 - v. What is the remainder when 87 is divided by d(-1)?
27
Suppose 5*p = 5*w - 97 - 38, 4*w - 3*p = 109. What is the remainder when w is divided by 10?
8
Calculate the remainder when (-12)/(-9)*2*414/8 is divided by 20.
18
Let v = 83 - 33. Let p = -31 + v. What is the remainder when 37 is divided by p?
18
Let p = 4 + -1. Suppose -p*h + 5*h - 12 = 0. Calculate the remainder when (-2 + -1)*(-90)/27 is divided by h.
4
Suppose -20 = -5*q - 0*q. Suppose 4*r - q = -2*d, 1 - 8 = -3*d - 5*r. Calculate the remainder when 5 + 0 - -1 - 0 is divided by d.
2
Suppose -4*i + 3 + 9 = 0. Suppose 0*f - t + 142 = 4*f, -i*f + 5*t = -95. Let d = 10 + 2. What is the remainder when f is divided by d?
11
Let n = -4 + 6. Suppose -3*q = 3*k - 35 - 85, -q + n*k = -43. What is the remainder when q is divided by 1*(-2)/4*-28?
13
Calculate the remainder when 69 is divided by 21/1 - (3 - 0).
15
Let t(v) = v**2 + 3*v - 13. What is the remainder when 27 is divided by t(-6)?
2
Let c = -17 + 256. Calculate the remainder when c is divided by 15.
14
Let v(k) = -2*k - 2*k + 5*k + 9. Let m be v(-7). What is the remainder when 51 is divided by -7*(36/(-7))/m?
15
Let c = 220 + -153. What is the remainder when c is divided by 17?
16
Let d = 0 - -2. Suppose -p = -d*p + 5. Suppose -5*y = a - 46, 4 = 3*a - 4*a + p*y. Calculate the remainder when a is divided by 11.
10
Let i = 339 + -205. Calculate the remainder when i is divided by 27.
26
Suppose 0*w - 144 = -3*w. What is the remainder when w is divided by 17?
14
Let b = -26 - -18. Let i = -4 - b. Calculate the remainder when 39/(-2)*i/(-6) is divided by 7.
6
Suppose 3*d + 0*d = -9. Let a(z) = 7*z**2 + 2*z - 4. Let y be a(d). Suppose 0 = r - y + 12. What is the remainder when r is divided by 14?
13
Calculate the remainder when 94 is divided by (4 - 5)/((-2)/48).
22
Let x = -27 + 29. Calculate the remainder when 2 is divided by x.
0
Let w = -6 + 20. Calculate the remainder when w is divided by 5.
4
Suppose -41 - 79 = -4*v. Let r(f) = f**3 - f - 8. Calculate the remainder when v is divided by r(3).
14
What is the remainder when 85 is divided by (8/2)/((-4)/(-22))?
19
Let o = 5 + -17. Let q(y) = y**3 + 13*y**2 + 11*y. Calculate the remainder when 46 is divided by q(o).
10
Let v = -51 + 188. What is the remainder when v is divided by 23?
22
Let x be (-104)/(-10) - (-8)/(-20). Let k = x - 7. Suppose 30 + 18 = j + 5*h, 75 = 2*j + k*h. What is the remainder when j is divided by 9?
6
Suppose k - 3*k + 2*v = -18, -52 = -5*k - 2*v. Calculate the remainder when 18*(1 + 15/9) is divided by k.
8
Let u(b) = 59*b + 1. Let t(i) = -2*i + 9. Let y be t(4). Calculate the remainder when u(y) is divided by 31.
29
Let v be 12/(-16) + (-6)/(-8). Suppose -4*k + 4 + 84 = v. What is the remainder when k is divided by 6?
4
What is the remainder when 52/(-4)*-3 - 0 is divided by 7?
4
Let v = 23 + -10. Let i = v + -7. Let m(o) = 3*o**3 - o**2 - 2*o. What is the remainder when m(2) is divided by i?
4
Let v be (2 - 0)*55/10. Let p = v - 8. Calculate the remainder when p is divided by 3.
0
Let j = 74 + 47. Calculate the remainder when j is divided by 31.
28
Suppose -4*u - 455 = u. Let c = -49 - u. Calculate the remainder when c is divided by 15.
12
Let v(m) = 2*m**3 - m**2 - 3*m + 2. Let a(n) = n**3 - 23*n**2 - 17*n - 146. Calculate the remainder when a(24) is divided by v(2).
6
Suppose -d + v - 4*v = 6, 3 = 4*d + 3*v. Let a be -4*(-9)/12 - 0. Suppose -g - s = -a, 5*g - 65 = 4*s + s. What is the remainder when g is divided by d?
2
Suppose 7 - 1 = 3*o. What is the remainder when (-1)/1 - (-4 + 1) is divided by o?
0
Let y(t) = -t**2 - 5*t - 3. Let i be y(-3). Suppose p = r + 1, 0 = -i*r - 3*p - 23 + 2. What is the remainder when (18 - 2) + (r - -5) is divided by 5?
2
Let a be -3 - (0 + 2/(-1)). Let d = a - -3. Suppose 4*v - 123 = -0*s + 5*s, 0 = -d*v + 2*s + 62. What is the remainder when v is divided by 17?
15
What is the remainder when (-29)/2*-2*8/4 is divided by 20?
18
Suppose -g - 5*f = -0 + 6, -4*f = 8. What is the remainder when 10 is divided by g?
2
Let r be (-2)/2 + 2 - 0. Let g(v) = 3*v - 1. What is the remainder when g(2) is divided by 3*r - (1 + -1)?
2
Let v = -8 - -10. Let s be (v - 2/4)*2. Suppose -3*l + 30 = 3*p, 3 = p + s*l - 1. What is the remainder when p is divided by 7?
6
Suppose 5*k - 2*h = 145, 5*h = -3*k + 45 + 11. What is the remainder when k is divided by 14?
13
Suppose f + 0*f - 4 = 0. Calculate the remainder when 10 is divided by f/22 - 279/(-99).
1
Let j(k) be the third derivative of k**6/120 - k**5/60 + 17*k**3/6 - 2*k**2. Calculate the remainder when j(0) is divided by 5.
2
Let v(z) = 31*z**2 - z - 1. Calculate the remainder when v(1) is divided by 16.
13
Suppose 58 = -2*q - 8. Let d = 5 - 0. Let c = d - q. Calculate the remainder when c is divided by 13.
12
Suppose 0*o = 3*l + 5*o - 47, 0 = -3*l - 4*o + 49. Calculate the remainder when l is divided by 5.
4
Suppose -2*c = 3*c + 240. Let b = c - -83. What is the remainder when b is divided by 12?
11
Let d = 84 - -26. Suppose 0*n + 4*n + 2*z - 86 = 0, 0 = -5*n - 5*z + d. Calculate the remainder when n is divided by 13.
8
Let f = 6 - -16. Let v(b) = b**3 + 22*b**2 - 22*b + 31. What is the remainder when f is divided by v(-23)?
6
Calculate the remainder when 45 is divided by ((-4)/(-6))/(92/30 - 3).
5
Suppose -5 = -4*n + 7. Suppose 8*z - 3*z = 20. Suppose -z*t = -y + 2, -5*y - 3*t + 6 = -2*y. Calculate the remainder when n is divided by y.
1
Let u(n) = -n + 1. Let q be u(-2). Suppose q*c - 48 + 6 = 0. What is the remainder when 1/(3 + (-244)/82) is divided by c?
13
Suppose 2 - 8 = -2*b. Suppose 0 = -4*t - r - b*r + 320, 4*t - 4*r = 280. Let g = t + -49. Calculate the remainder when g is divided by 9.
8
Let k = 0 + 2. Suppose -5*t + 24 = -k*t. What is the remainder when t is divided by 5?
3
Let y = 45 - 24. Let q = y + -9. Let m(x) = -8*x**3 - 2*x**2 - 2*x - 1. Calculate the remainder when q is divided by m(-1).
5
Suppose 0 = -10*a + 6*a + 228. Suppose -5*y - h + 105 = 0, -2*y - 2*y = h - 85. Calculate the remainder when a is divided by y.
17
Suppose -4*k = -3*c - 105, -2*c = 3*k + 2 - 85. What is the remainder when k is divided by 15?
12
Suppose 20 = -4*i - 4*m, -8 + 3 = -5*i + 5*m. Let g = i - -13. What is the remainder when 20 is divided by g?
9
Let u = -10 + 6. Let f = 5 + u. Calculate the remainder when