- 3*b**2 - 3*b + 3. What is the remainder when r/8*44/5 is divided by s(-3)?
10
Let f = -6 + 17. Let v(k) = k**3 - 4*k**2 - k - 2. Let p be v(6). Suppose 3*w - w = p. What is the remainder when w is divided by f?
10
Suppose 31 = -3*z - 56. Let j = 58 + z. Suppose -3*d + 4*x + 44 + j = 0, 2*d = 4*x + 54. What is the remainder when d is divided by 10?
9
Let r(u) be the second derivative of 0 - 1/2*u**4 + 5/2*u**2 - 2*u + u**3 + 1/20*u**5. What is the remainder when r(5) is divided by 6?
4
What is the remainder when 12 is divided by (-712)/(-104) + (-4)/(-26)?
5
Suppose 0 = 2*n - 98 - 28. Calculate the remainder when n is divided by 16.
15
Suppose 5*s - 20 = -2*d, -4*d + 5*s = -4 + 24. Suppose d*t = -t + 2. What is the remainder when 5 is divided by t?
1
Suppose -a - 2*a + 18 = 0. Suppose 0 = 2*b - b - 9. Let j = 1 + b. What is the remainder when j is divided by a?
4
Suppose 0 = 3*c + 2*k + 1717, -k - 64 + 1218 = -2*c. Suppose -139 = -4*l - 43. Calculate the remainder when l is divided by (-4)/(-18) + c/(-45).
11
Suppose 0 = 4*u + 5*t - 136, -3*u = -4*t + 3 - 74. Let r be (-4 - -2) + 2 + 5. Let s = 15 - r. What is the remainder when u is divided by s?
9
What is the remainder when 17 is divided by 5/15 + 87/9?
7
Let a(m) = 2*m**2 - 9*m + 7. Let c be a(6). Suppose 4 - c = b. Let k = b + 35. Calculate the remainder when 27 is divided by k.
13
Suppose 42*s = 40*s + 28. What is the remainder when 26 is divided by s?
12
Let m = -37 - -26. Let k = m - -16. Calculate the remainder when 3/(0 - (-3)/14) is divided by k.
4
Let n(h) = h**3 + 9*h**2 - 3*h - 10. What is the remainder when 48 is divided by n(-9)?
14
Suppose 6*a = -5*a + 374. Calculate the remainder when a is divided by 5.
4
Suppose -2*n = -4*h - 5 + 51, -5*n + 2 = 3*h. What is the remainder when 34 is divided by h?
7
Let n(y) = y**3 + 9*y**2 + 7*y - 6. Suppose -40 = 6*c - c. Suppose -q = g - 4, g + 5*q = 8 + 8. Calculate the remainder when n(c) is divided by g.
0
Suppose -2*g + 3*i = -89, 3*g - 172 = -g + 4*i. Calculate the remainder when 79 is divided by g.
39
Let l = -73 + 171. Suppose -m + 21 = 4*p, 12 = -m - p + 36. Calculate the remainder when l is divided by m.
23
Suppose -124 - 346 = -5*h. Calculate the remainder when h is divided by 24.
22
Let v(b) = 6*b + 67. What is the remainder when 43 is divided by v(-8)?
5
Let y = 350 + -238. Suppose -r - r + y = 0. Let g(s) = s**2 - 4*s + 7. Calculate the remainder when r is divided by g(6).
18
Let n = -156 + 205. Calculate the remainder when 193 is divided by n.
46
Let d(z) = -z**2 - 7*z - 2. Let o be d(-5). Let w = -14 + o. Calculate the remainder when 4/w - (-160)/15 is divided by 6.
4
Let q(c) = -c + 32. What is the remainder when 55 is divided by q(13)?
17
Suppose 8 = 2*j - 3*p, 4*j + 2*p = -0*j + 48. Calculate the remainder when 147 is divided by j.
7
Let o(d) = -2*d - 1. Suppose -8 = -n - 0. Suppose -h = 3*l - 6*h - 32, l - n = 3*h. What is the remainder when l is divided by o(-3)?
4
Suppose -2*z + 4 = -2. Suppose -c = -4*v + z, -4*c = -5*v - 12 - 20. What is the remainder when 38 is divided by c?
12
Let c(t) = 2*t**2 + 3*t + 2. Let h be c(-6). Suppose b - h = -3*b. Calculate the remainder when 39 is divided by b.
11
Let o = 134 + -129. What is the remainder when 18 is divided by o?
3
Suppose -5*z - 4 = -29. Suppose 3*m = -z*p + 115, -4*m + 3*p + 105 = -0*p. Let g = -21 + m. Calculate the remainder when 16 is divided by g.
7
Calculate the remainder when 31 is divided by ((-6)/18*38)/(2/(-3)).
12
Let q = 9 + -5. Calculate the remainder when q is divided by (-3)/(-2 - (-3)/6).
0
Suppose -4*o + 30 = -o. Calculate the remainder when 28 is divided by o.
8
Let c be ((-13)/1)/(2 + -3). Let p = 5 - 11. Let x = p + c. What is the remainder when 13 is divided by x?
6
Suppose 3*c - 3*a - 60 = 0, 0 = 3*c + 3*a - 0*a - 48. What is the remainder when 105 is divided by c?
15
Let j = -52 - -57. Calculate the remainder when j is divided by 1.
0
Let a(m) = m**3 - 13*m**2 - 3*m - 6. Let y be a(14). Suppose 4*g = -x + y, 7*x = 4*x - 12. Calculate the remainder when g is divided by 8.
6
Let z(k) be the first derivative of 2*k**3/3 + 3*k**2 - 6*k + 3. What is the remainder when 54 is divided by z(-5)?
12
Suppose u - 4 = 9. Let g be -500*-2*1/4. Suppose -5*b - 5*o = -0*b - g, -b = -5*o - 44. Calculate the remainder when b is divided by u.
10
Suppose -4*n + 23 + 265 = 0. Calculate the remainder when n is divided by 19 - (-6 + 6)/(-2).
15
Let o be (-2)/6 - 60/(-18). Suppose o*y = 3*f, -2*f - 2*f + 36 = 5*y. Suppose 10 = y*c - 18. What is the remainder when 13 is divided by c?
6
Let w(i) be the second derivative of i**5/20 + i**4/2 - 11*i**3/6 - 15*i**2/2 - 2*i. What is the remainder when w(-6) is divided by 18?
15
Suppose -5*p + 9 + 1 = 0. Suppose p*t - 65 = -3*t. Calculate the remainder when t is divided by 7.
6
Let y(m) = -m**3 + 7*m**2 + 2. Let s be y(7). Let r be 0/(2*s/(-4)). Suppose -3 = -v - r. Calculate the remainder when 11 is divided by v.
2
Let u(b) = b. Let q be u(4). Suppose 0 = 4*s + z - 249, 58 = -s + 2*s - q*z. What is the remainder when s is divided by 21?
20
Let u(k) = 2*k - 49. What is the remainder when 15 is divided by u(26)?
0
Let l be (4 + -2)*22/(-4). Let k = 22 + l. What is the remainder when 40 is divided by k?
7
Let w(h) = h. Let k(v) = -4*v**2 + v - 2. Let z(x) = -k(x) + 5*w(x). Suppose -2*a - 8 = 2*a. What is the remainder when z(a) is divided by 4?
2
Calculate the remainder when 2152/20 - (-12)/(-20) is divided by 37.
33
What is the remainder when 53 is divided by (-1)/(-2)*(-3 + 25)?
9
Let r(y) = y**2 + y + 7. Let i be r(5). Let m(w) = -w**3 - 5*w**2 + 2*w + 3. Let c be m(-5). Let t = c + i. What is the remainder when t is divided by 16?
14
Let j = -15 - -29. Suppose -j = 2*o - 40. What is the remainder when 23 is divided by o?
10
Let w(u) = u**2 + 10*u + 2. Let m be w(-10). Suppose -3*h + 26 = 5*p, -4*p + 4*h - m = -42. Calculate the remainder when 25 is divided by p.
4
Suppose 3*v - 8 - 16 = 0. Suppose 4 - 2 = z. Calculate the remainder when 204/9 + z/6 is divided by v.
7
Let c(o) = o**2 + 2*o - 3. Let f be c(-4). Suppose -r - r = -3*z + 76, -4*z - f*r + 109 = 0. Calculate the remainder when z is divided by 14.
12
Let s(c) = -c**3 + 9*c**2 - 10*c - 5. What is the remainder when s(7) is divided by 7?
2
Let v(j) = 7*j**2 - 2*j + 4. Calculate the remainder when v(3) is divided by 16.
13
Let p = 52 + -33. What is the remainder when p is divided by 10?
9
Suppose -2*p = o - 4*p - 64, -3*p - 129 = -2*o. Suppose 5*y - 2*u = -0*y + 117, y = 4*u + 27. Calculate the remainder when o is divided by y.
20
Let g(t) = -t**3 - 8*t**2 - 7*t - 4. Suppose -4*n - 28 = -0. Let a be g(n). Let x(m) = -3*m + 4. Calculate the remainder when x(a) is divided by 6.
4
Calculate the remainder when (-4 - 8/12)*(-138)/4 is divided by 41.
38
Calculate the remainder when 63 is divided by (132*(28/8 + -3))/2.
30
Let m = -1 - -1. Let d be (3 + 3)/(m + 1). Suppose 2*t = d*t - 16. What is the remainder when 6 is divided by t?
2
Suppose 0*x = -x + 25. Calculate the remainder when x is divided by ((-28)/(-6))/(3/9).
11
Suppose -3*w + 2 = -4. Suppose -4*m - 93 = -3*d, -2*d + 5*m + 125 = w*d. Let s(c) = c**3 - 4*c**2 + 3*c. Calculate the remainder when d is divided by s(4).
11
Let m = -24 + 21. Let i(q) = -7*q + 1. What is the remainder when 42 is divided by i(m)?
20
Let u(p) = -19*p - 1. Calculate the remainder when u(-1) is divided by 10.
8
Let m = -17 + 28. Suppose -3*c + 1 = 4. Calculate the remainder when m is divided by (-2 - c) + (-5)/(-1).
3
Let o = -19 - -29. Suppose o = q - 0*q - 5*v, 0 = -5*q - v + 154. What is the remainder when q is divided by 11?
8
Let d(y) = -1 - 5 + 3*y + 2*y**2 - 4*y. Suppose 2*m - 166 = -2*m - 3*s, 0 = -4*s - 8. What is the remainder when m is divided by d(-3)?
13
Let x = 9 + -6. Suppose -x*s - 11 = -5*a - 7*s, 1 = -s. Suppose 4*q = -v + 21, 0*v - 15 = -a*v. What is the remainder when 11 is divided by q?
3
Let x(y) = y**3 + 5*y**2 - 5*y - 4. Let n be x(-4). Let v = n + -11. What is the remainder when v is divided by 12?
9
Suppose -61 = f - 7. Let c = -34 - f. Calculate the remainder when c is divided by 7.
6
Let d(j) = 5*j**2 + 5*j + 5. Calculate the remainder when d(-2) is divided by 4.
3
Let j(z) = -z**2 - 7*z - 2. Let i(b) = b + 5.