 remainder when r is divided by 8?
6
Suppose p - 2*j - 20 = 2*p, 2*p - 5*j + 22 = 0. Let c = -8 - p. Let b = 101 + -70. Calculate the remainder when b is divided by c.
7
Let c = -6 - -44. What is the remainder when c is divided by 14?
10
Let o(y) = -25*y - 2. Let p be o(-1). Let c = 36 - p. Suppose 5*q = 2*q + 153. Calculate the remainder when q is divided by c.
12
Let m = 2 + 5. Suppose 0*c + 40 = 2*c. What is the remainder when c is divided by m?
6
Suppose 4*g = 142 + 138. Suppose -3 = s - 2*w - 25, -4*w - g = -3*s. Calculate the remainder when s is divided by 14.
12
Let x(q) = -q**3 - 4*q**2 + q + 3. Let p = -3 + 47. Calculate the remainder when p is divided by x(-5).
21
Let q = 21 + -6. Let o(s) = s**3 - 16*s**2 + 16*s - 4. Suppose -64 = 4*b - 6*b. What is the remainder when b is divided by o(q)?
10
Let d(m) = -5*m + 3. Let o be d(-5). Suppose -3*k = k - o. Let z(h) = -h. Calculate the remainder when k is divided by z(-3).
1
Calculate the remainder when 1479/34*(-4)/(-6) is divided by 8.
5
Let f be 0 + -1 - (0 - 14). Suppose 4*y + d = 18, d - f - 9 = -5*y. Calculate the remainder when 37 is divided by (2/y)/((-4)/(-104)).
11
Suppose -18 = -4*w + 2. Suppose 2*m - w*f + 2*f - 119 = 0, -3*f = 3*m - 156. Suppose 4*n - m = -n. What is the remainder when 32 is divided by n?
10
Let u(z) = z**2 + 2. Let n(y) = y**2. Let d be n(1). Calculate the remainder when u(-3) is divided by d*6 - (-4)/(-2).
3
Let u be 6/(-8) - 14/(-8). Suppose -u = 4*g - 21. Calculate the remainder when 9 is divided by g.
4
Suppose -4*s + 24 = -4*f, s + 1 = 5*f + 3. Suppose 4*l + 1 = 17. Suppose -j + 3*i + 109 = l*j, 5*j - 112 = 4*i. Calculate the remainder when j is divided by s.
6
Let i(a) = -a + 2. Let o be i(7). Let j(s) = -s**2 - 6*s + 1. What is the remainder when 10 is divided by j(o)?
4
Let g(k) = -k + 19. Suppose -3*z + 0*u = -u - 101, -5*u - 185 = -5*z. Suppose -c = -3*c + z. What is the remainder when g(-11) is divided by c?
14
Suppose 2*k - 3*t - 19 - 28 = 0, t + 124 = 5*k. Calculate the remainder when 122 is divided by k.
22
Suppose 2*v = -2*m - v + 4, -4 = -2*m - 4*v. Suppose -3 + m = -x. Calculate the remainder when x is divided by ((-1)/4)/(2/(-8)).
0
Let z(k) be the first derivative of 2*k**2 - 3*k - 2. What is the remainder when 49 is divided by z(4)?
10
Let v(g) = -5*g + 9. Let x be v(4). Suppose 0 = -3*o, -2*h + o - 36 = -4*h. Let y = h + x. Calculate the remainder when 25 is divided by y.
4
Let o = 15 - 5. Let x(u) = 61*u**2 - 7*u + 3. Let k(h) = -20*h**2 + 2*h - 1. Let b(p) = -7*k(p) - 2*x(p). Calculate the remainder when b(1) is divided by o.
9
Suppose -3 = d - 1. Let b be (-35)/(-2) + (-1)/(-2). Calculate the remainder when d/(-1) + 0 + b is divided by 7.
6
Let r(w) = 5*w**3 - 3*w**2 + 4*w - 2. Suppose -36 = 11*x - 13*x. Calculate the remainder when r(2) is divided by x.
16
Let m(v) = v. Suppose h = -i, h = -2*h - i + 8. Let f be m(h). Suppose 8*w - 256 = f*w. Calculate the remainder when w is divided by 22.
20
Let b(x) = -x**3 - 4*x**2 - 2*x + 2. What is the remainder when 199 is divided by b(-4)?
9
What is the remainder when 42 is divided by (-6)/(-16) - 865/(-40)?
20
Suppose 0 = 2*f - 5*f - 4*h + 11, 0 = -f + 5*h + 10. Suppose -2*b = -s - 3, -3*s - b = -7 - f. What is the remainder when 4 is divided by s?
1
Suppose -9*n + 138 = -3*n. Calculate the remainder when n is divided by 6.
5
Let y be 6*((-1)/2 + 3). Suppose y = -h - 5*u, h = 5*h - 2*u - 50. What is the remainder when 38 is divided by h?
8
Let f = 9 - 1. Let p be (f/6)/(2/12). Suppose -p*w + 4*w = -64. What is the remainder when 30 is divided by w?
14
Suppose 0 = 52*h - 50*h - 42. Calculate the remainder when 146 is divided by h.
20
Let v = -96 + 166. Calculate the remainder when v is divided by 15.
10
Let o(r) = r**3 + 13*r**2 - 3*r + 2. What is the remainder when o(-13) is divided by 9?
5
What is the remainder when (0 - -2)*275/50 is divided by 7?
4
Let r(q) = -q**3 + 3*q**2 + 7*q - 6. What is the remainder when 28 is divided by r(4)?
4
Suppose -5*u + 2 + 18 = 0. Calculate the remainder when 17 is divided by u.
1
What is the remainder when (12/(-10))/((-3)/135) is divided by 14?
12
Suppose 2*h - 5*u = 43, 106 = 4*h - 5*u + 35. Calculate the remainder when 26 is divided by h.
12
Suppose -x = -h - 33, x = -3*x - 3*h + 146. What is the remainder when x is divided by 12?
11
Let b = 148 + -96. What is the remainder when b is divided by 15?
7
Suppose 0 = -4*q + 32 + 12. Suppose -4*n - 4*s = 1 - 29, -q = -n + s. Calculate the remainder when 33 is divided by n.
6
Suppose 176 = 2*f + t - 4*t, 454 = 5*f - 4*t. What is the remainder when f is divided by 24?
22
Let t(g) = 3*g - 2. Let s(k) = -k + 1. Let o(a) = 7*s(a) + 2*t(a). Let u be (-19)/2 + 1/2. What is the remainder when 22 is divided by o(u)?
10
Suppose 5*c + 3*g - 239 = 0, -g + 65 = c + 18. What is the remainder when c is divided by 17?
15
Suppose -2*q - 2*q = h - 97, q + 2*h = 26. Let n = -2 + 15. What is the remainder when q is divided by n?
11
Let m = -18 + 18. Suppose -4*s - 8 = -m*g - g, -15 = -4*g - s. Suppose 0 = o + 4 - 14. What is the remainder when o is divided by g?
2
Suppose 4*f - f - 2*n = 197, 3*n = -4*f + 257. Calculate the remainder when f is divided by 34.
31
Suppose 6*x - 2*x = -60. Calculate the remainder when 13 is divided by (3 - 2)*x/(-3).
3
Let u be 3*(-2 + (-164)/(-6)). Let c = u - 37. Let l = -21 + c. What is the remainder when l is divided by 10?
8
Let p(r) be the third derivative of -r**5/60 - 3*r**4/8 + 3*r**3/2 + 2*r**2. What is the remainder when 6*-1*52/(-12) is divided by p(-9)?
8
Suppose k - 5*g - 58 = 0, k + 7*g - 3*g = 31. Calculate the remainder when k is divided by 9.
7
Suppose -4*c - 56 = -4*v, c - 2*c - 2 = 0. What is the remainder when 25 + (1 + 1)/(-1) is divided by v?
11
Let z be (-3)/2*(-8 - 0). Let j = z + 11. What is the remainder when j is divided by 8?
7
Suppose -14 = -3*r - 5*i, -4*r - 4*i - 5 = -29. What is the remainder when 36 is divided by r?
4
Suppose t - 3*v = -v + 28, -3*t - 5*v = -51. Suppose -3*x = -t - 23. Let h(z) = -z**3 - 7*z**2 + 8. Calculate the remainder when x is divided by h(-7).
7
Suppose -2*a + 54 = a. What is the remainder when a is divided by 7?
4
Let z be 13/5 + 2/5. Let w(y) = -7*y**2 + y**z + 3 + 3*y + 3*y + y - 5*y. Calculate the remainder when 32 is divided by w(7).
15
Let x(l) = 2*l**2 + 5*l + 2. Let z = -1 + 1. Suppose -18 = -z*f - 2*f. Calculate the remainder when f is divided by x(-3).
4
What is the remainder when (-1 - (0 - 2)) + 55 is divided by 15?
11
Suppose -2*x = x - 12. Suppose -x*v = 3*j - 39, 4*j - 2*v = 3*v + 52. Calculate the remainder when 25 is divided by j.
12
Suppose 5*u + 0*u = 60. Suppose -3*n = -h + u, 9 = 4*n - n. What is the remainder when h is divided by 8?
5
Calculate the remainder when 168 is divided by (-270)/(-8) - (-5)/20.
32
Suppose -k = k. Suppose k = -2*h + 5*l + 6 - 17, 2*h = -4*l - 2. What is the remainder when 23 is divided by (-10)/h*12/5?
7
Calculate the remainder when 28/70 + (-926)/(-10) is divided by 49.
44
Let k be (-2330)/(-25) + (-1)/5. Let s = k + -54. What is the remainder when s is divided by 10?
9
Let z be (10/(-5))/(6/(-33)). Suppose 4*s = 2*x + 4, 4*s - s + z = 5*x. What is the remainder when s is divided by 3?
0
Let h(w) = -w**3 + 11*w**2 + 18*w - 2. What is the remainder when h(12) is divided by 24?
22
Suppose -3*c + 238 = 4*c. What is the remainder when 135 is divided by c?
33
Suppose 2*y - 3*y + 4 = 0. Suppose 5*z - 128 = y*z. Suppose 4*i - z = q + 4*q, 2*q = 0. Calculate the remainder when i is divided by 11.
10
Suppose 0 = -2*o - 3*o - 5*x + 125, -o - 2*x = -26. Calculate the remainder when o is divided by 5.
4
Let h = 20 - 2. What is the remainder when 53 is divided by h?
17
Let r = 17 + -3. Calculate the remainder when 53 is divided by r.
11
Let i(b) = -3*b**2 - 4 + 2*b**2 + 10*b + 0*b**2. Calculate the remainder when i(7) is divided by (-308)/(-49) + 2/(-7).
5
Let y be 149*3*(-2 + 3). Suppose -5*p + y = 92. Let d = p + -51. What is the remainder when 59 is divided by d?
19
Suppose -12*t + 271 = 55. Calculate the remainder when 69 is divided by t.
15
Let w = 32 - 4. Let a = -20 + w. What is the remainder when 29 is divided by a?
5
Suppose 106 = -0*g + 2*g + 3*f, -4*g + 5*f = -212. What is the remainder when g