 remainder when 18 is divided by a.
8
What is the remainder when 12 is divided by 5 + (-3 - -4)*2?
5
What is the remainder when (-18)/117 - (-483)/13 is divided by 10?
7
Suppose -3*p + 90 = -231. What is the remainder when p is divided by 22?
19
Let v(n) = n**3 + 6*n**2 - n + 1. Let i(b) = 18*b**2. What is the remainder when i(-1) is divided by v(-6)?
4
Suppose 0 = -0*t - t + 4, 4*t + 160 = 4*i. Let j = i + -31. What is the remainder when 24 is divided by j?
11
Suppose -2*v + 29 = 5*g - 0*v, -6 = -3*g - 5*v. Calculate the remainder when 33 is divided by g.
5
Let n = 22 - 3. What is the remainder when 36 is divided by n?
17
Let u(j) = -9*j**3 + 14*j**2 - 2*j + 17. Let l(c) = -5*c**3 + 7*c**2 - c + 9. Let b(n) = 7*l(n) - 4*u(n). What is the remainder when 6 is divided by b(7)?
0
Let l(u) = 5*u + 1. Let t(s) = -s**3 + 8*s**2 - 3*s + 2. Calculate the remainder when t(5) is divided by l(4).
20
Let c(o) = -o**3 - o**2 + 5*o - 3. What is the remainder when c(-4) is divided by ((-3)/2)/(1/(-6))?
7
Let y(h) = h**3 + 14*h**2 + 19*h - 18. What is the remainder when 123 is divided by y(-12)?
39
Suppose 1 = -2*b + 15. Suppose -b*u + 2*u = -125. Let o = 11 + -2. What is the remainder when u is divided by o?
7
Suppose 2*b = -12 - 0. Let h(d) = -3*d + 2. What is the remainder when h(b) is divided by (-28)/(-4) + 0 + 0?
6
Suppose -4*s + 4 = -4. Suppose 0*l - 74 = -5*y - 2*l, 38 = 2*y - s*l. What is the remainder when 61 is divided by y?
13
Suppose -26 = -3*n - 2*d, 0*d = -2*d - 4. What is the remainder when 59 is divided by n?
9
Let c = -4 - -7. Let k(b) be the first derivative of -b**2/2 - 5*b - 1. Calculate the remainder when k(-9) is divided by c.
1
Suppose 5*o - q = -53 - 5, q = -3*o - 38. Let x = -17 - -28. What is the remainder when o/(-1*3/8) is divided by x?
10
Let g = 157 + -92. Suppose 5*r + g = 235. Calculate the remainder when r is divided by 12.
10
Let j = -14 + 27. What is the remainder when 154 is divided by j?
11
Let y be 3 - 2/(4/2). Suppose -2*p = 6*i - i - 11, -y*i = -6. What is the remainder when 10*((-1)/p + 1) is divided by 8?
7
Let f(b) = -4*b + 86. What is the remainder when 134 is divided by f(13)?
32
Let t = -18 + 39. What is the remainder when t is divided by (6/4)/(-3)*-12?
3
Let y = 66 - 15. Let u = y - 27. What is the remainder when u is divided by 13?
11
Let d = 11 - 17. Let c = 12 - d. Calculate the remainder when 52 is divided by c.
16
Suppose 2*u + 4*p = 38, -3*u + 23 = -3*p - 52. Let f be (-3)/(-12)*2*6. What is the remainder when u is divided by ((-4)/(-6))/(f/54)?
11
Let t(w) = -5*w - 5. Let d be t(-4). Let z(p) = -2*p + d*p + 1 + 4*p. Calculate the remainder when z(3) is divided by 18.
16
Suppose 4*f - 58 = 22. Calculate the remainder when 97 is divided by f.
17
Let w = -33 - -54. What is the remainder when 81 is divided by w?
18
Suppose -5*p - 4*k + 91 = 0, k + 23 = p - 3*k. Suppose -4*j = -5*j + 2, 3*v = j + p. Let o = 14 + 6. Calculate the remainder when o is divided by v.
6
Let v(g) = -2*g - g - g**2 + 6*g - 2 + 4*g. What is the remainder when 11 is divided by v(6)?
3
Let d(p) = -p + 2. Let q be 21/(-2) + 2/4. What is the remainder when q/3*(-24)/10 is divided by d(-3)?
3
Suppose 0*q - 3*c = 3*q - 69, 2*q + 5*c - 49 = 0. Suppose -q - 30 = -4*u. Calculate the remainder when 51 is divided by u.
12
Suppose 400 = 2*s + 288. Calculate the remainder when s is divided by 12.
8
Suppose 12 + 13 = 5*k. Suppose d - 24 = k*x, 97 = -4*d + 9*d - 2*x. Suppose -4*y + d = -81. What is the remainder when y is divided by 14?
11
Suppose 4*w = -2*o - 0*o, 5*o = -w - 9. Let b = -1 + w. Suppose b = 3*a - 2*a - 17. Calculate the remainder when a is divided by 6.
5
Let f(h) = -h**3 - h**2 + 16. Let x be f(0). Suppose -6*r + x = 2*r. What is the remainder when 11 is divided by r?
1
Let n(u) = u**2 - 11*u. Let j be n(11). Suppose j = 6*i - 2*i + 4. Calculate the remainder when 7 is divided by i/(-3) - (-48)/18.
1
Calculate the remainder when 15 is divided by 5 - (8 + -4) - (-8)/2.
0
Let t be (-2)/5 - 4/(-10). Suppose 2*f + 4*c = 44, -6*f + f = -2*c - 74. What is the remainder when 1/(t - 1/(-31)) is divided by f?
15
Let y be (14/6)/((-1)/12). Let s = -17 - y. Let p(m) = -m**3 - 5*m**2 - 2*m - 4. Calculate the remainder when s is divided by p(-5).
5
Let h be ((-4)/(-7))/((-4)/(-14)). Suppose -20 = -h*s - 3*s. Calculate the remainder when 10 is divided by s.
2
Let k(q) = 21*q. What is the remainder when k(2) is divided by 23?
19
Suppose 25 = 2*j - 75. What is the remainder when j is divided by 27?
23
Let k = -6 + 9. Suppose 3*g = 6 + 18. What is the remainder when g is divided by k?
2
Let t be (-5)/(0 - (-1)/(-21)). Suppose 2*f + 11 = t. Suppose 0*v + 3*q - f = -4*v, 0 = q - 1. Calculate the remainder when 20 is divided by v.
9
Suppose 5*m - 3*r - 18 = 0, r = 2*m + m - 10. What is the remainder when 41 is divided by 27/2 + m/6?
13
Suppose -5*j = -j - 4. Let o be (-1 + j)*2/4. Let b = 2 - o. What is the remainder when 3 is divided by b?
1
Let j be 0 + 1/((-3)/(-6)). Suppose -3*s - 35 = -7*s - p, 0 = -j*p - 2. Calculate the remainder when 22 + 1 + (-2 - -4) is divided by s.
7
Suppose -2*x + 3*w + 101 = 0, 4*x = 2*w + 50 + 140. Calculate the remainder when 227 is divided by x.
43
Let q be (25/(-4))/((-4)/16). Suppose 31 = 2*v - q. Calculate the remainder when 83 is divided by v.
27
Suppose 3*b - 14 = 2*b - 3*x, 2*x + 19 = b. What is the remainder when 45 is divided by b?
11
Let r = -11 + 13. Suppose -n - 14 = -4*c, -4*c - 4*n + 2 = n. Suppose -3 = -3*f + c. Calculate the remainder when f is divided by r.
0
Let y = 3 + -2. Let v(f) = 10*f - 1. Let a = -43 - -60. Calculate the remainder when a is divided by v(y).
8
Let i(w) = -w - 3*w + 0*w. Let u(n) = n**2 - 3*n - 1. Calculate the remainder when i(-4) is divided by u(5).
7
Let n = 50 - 37. What is the remainder when 37 is divided by n?
11
Let c(n) = n**2 - 3*n - 5. Calculate the remainder when 76 is divided by c(-3).
11
Let z be (-15)/6*4/(-10). Suppose -5*a - z = -h, 0*a + 16 = -5*h + 4*a. What is the remainder when (2/h)/(1/(-34)) is divided by 9?
8
Suppose -115 = -5*k + 5*h, k + 0 = -3*h + 43. Calculate the remainder when k is divided by 21.
7
Let i(j) = j**2 - 1. Let b be i(2). Suppose -b*d = u - 6*d - 10, 40 = 2*u - 2*d. Calculate the remainder when u is divided by 7.
4
Calculate the remainder when 125 is divided by ((-6)/(-4))/((-1)/(-12)).
17
Let j = -26 - -29. What is the remainder when 5 is divided by j?
2
Let x(k) = -3*k - 3. Calculate the remainder when -8*2/(-2) - (3 - 1) is divided by x(-2).
0
Suppose 2*s - 7*s - 42 = -2*t, 3*t - s - 63 = 0. Suppose 9*y - 32 = 5*y. What is the remainder when t is divided by y?
5
Suppose 5*p + 5 = 40. Suppose 0 = 2*h - 4, -p*d + 147 = -2*d + h. Let o(z) = z**2 - 5*z + 2. What is the remainder when d is divided by o(6)?
5
Let n(t) = 9*t + 3. Let r be n(1). Suppose -12 = -3*s + r. What is the remainder when 12 is divided by s?
4
Suppose 0 = -x - 2 - 5. Let m = 9 - x. Suppose 10*h - 6 = 9*h. Calculate the remainder when m is divided by h.
4
Let r = -4 - -1. Let z(l) = -6*l - 2. Let j = -3 - -12. Calculate the remainder when z(r) is divided by j.
7
Let x(d) = 20*d - 5. Calculate the remainder when 2/8 - 107/(-4) is divided by x(1).
12
Let b(t) = t - 2. Let n be b(4). Let v be (3/n)/((-18)/(-24)). Let o = 15 + v. Calculate the remainder when 33 is divided by o.
16
Let n = 17 + 37. Let t(w) = 3*w - 28. Calculate the remainder when n is divided by t(14).
12
Let x(i) = -6*i - 10. What is the remainder when 58 is divided by x(-5)?
18
Let w(a) = -a**3 + 7*a**2 - a + 2. Let n be w(7). Let l(p) = -p**3 - 5*p**2 - 4*p + 7. What is the remainder when l(n) is divided by 6?
3
Suppose -2*j + 4 + 0 = 0. Suppose -c - j = -4. What is the remainder when 7 is divided by c?
1
Let l = 8 - 0. Suppose -u - 2 = -b, 0*b - 3*u + 2 = b. Let v = 17 - b. What is the remainder when v is divided by l?
7
Let x(c) = -c - 3. Let m be x(-7). Suppose 2*j = m*v - 74, 4*j = v - 0*v - 36. Calculate the remainder when 4/10 - (-446)/10 is divided by v.
13
Suppose 2*n + 8 = -2*n. Calculate the remainder when 3 is divided by n/3*1*-3.
1
Let w(h) = 6*h**2 + 5*h - 4. What is the remainder when w(-4) is divided by 15?
12
Suppose 2*l + 5*x + 11 = 0, l + 4*x - 12 = 5*x. Suppose 8*j - l*j - 15 = 0. Cal