5*s - 2. Calculate the remainder when 23 is divided by z - (-5)/((-5)/(-16)).
10
Let a = 11 - -1. Suppose -6 = -2*z - 3*j, 3*j - 2*j = -3*z + 9. Suppose 0*q = z*q - 21. Calculate the remainder when a is divided by q.
5
Suppose -3*v = 12, 4*v = -t - v - 21. What is the remainder when 11 is divided by t + 4 + (-4 - -5)?
3
Let n(x) = -x**2 - 4*x. Calculate the remainder when 5 is divided by n(-2).
1
Let p(b) = b + 16. Suppose 4*q - 109 = 11. Suppose 0 = 2*g + 12 - q. What is the remainder when p(17) is divided by g?
6
Let k = -11 + 22. Calculate the remainder when 29 is divided by k.
7
Suppose -299 = -2*t - 3*h, 0 = -3*t + 2*t - 5*h + 167. What is the remainder when t is divided by 24?
22
Suppose -3*h + 83 = 2*v, 0 = 3*h - 4*v - 31 - 46. What is the remainder when h is divided by 10?
7
Suppose 4*j - 1 = 7. What is the remainder when ((-48)/10)/(3/(-10)) is divided by 4/(-5)*(-15)/j?
4
Suppose u = -2*u + 78. What is the remainder when u is divided by 7?
5
Let x = -8 + 15. Suppose -4*s + 5*f = 0, 0 = -x*f + 2*f + 20. Suppose 15 = s*c - j - 17, -14 = -3*c - 2*j. Calculate the remainder when c is divided by 4.
2
Suppose -4*t + 6 = -3*l - 18, 4*l + 25 = 3*t. Suppose 16 = t*z + z. What is the remainder when 2/(-8) - 50/(-8) is divided by z?
2
Let k(w) = 7*w + 8. Let j be k(-10). Calculate the remainder when (-2 + -2)*j/8 is divided by 16.
15
Let c = 3 - 0. Let r = 8 + -3. Let s(i) = -i**2 + 6*i - 3. What is the remainder when c is divided by s(r)?
1
Let d(i) = -4*i - 1. Let y be (-8)/2 + 1 - -2. What is the remainder when 8 is divided by d(y)?
2
Let z(d) be the first derivative of 5*d**2/2 + 2*d + 2. Suppose 3 = 5*h - 57. Calculate the remainder when z(4) is divided by h.
10
Suppose 2*t - 452 = -v, -4*t + 3*v = 4*v - 900. Calculate the remainder when t is divided by 57.
53
Let j = -12 + 6. Let t(o) = -4*o - 1. What is the remainder when t(j) is divided by 6?
5
Suppose 2*o + 10*o - 336 = 0. What is the remainder when 105 is divided by o?
21
Let f = 0 + 4. Let v = -11 + 17. Let o = v + -4. Calculate the remainder when f is divided by o.
0
Calculate the remainder when 5/2*(2 + (-356)/(-10)) is divided by 24.
22
Suppose a - 17 = -1. Calculate the remainder when 60 is divided by a.
12
Suppose 2*c - 180 = 4*a + 122, 2*a + 5*c = -121. Let i = a + 106. Calculate the remainder when i is divided by 51/2*(-2)/(-3).
16
Let u = -17 - 36. Let k = u - -97. What is the remainder when k is divided by 15?
14
Suppose -21 - 19 = -5*g. Let h = 7 + g. Calculate the remainder when 29 is divided by h.
14
Let h = -2 - 10. Let u = 2 - h. Calculate the remainder when u is divided by 5.
4
Suppose -13 + 37 = 3*i. Let z(u) = u - 2. What is the remainder when 4*(42/i + 0) is divided by z(13)?
10
Let s = 135 + -80. Calculate the remainder when s is divided by 14.
13
Let c = -27 + 56. Calculate the remainder when 56 is divided by c.
27
Let i(n) be the second derivative of n**5/20 - 11*n**4/12 + 5*n**3/3 + 5*n**2 - 3*n. What is the remainder when 37/2 + 3/(-6) is divided by i(10)?
8
Suppose -3*a = o - 2*o - 19, 25 = 3*a + 2*o. What is the remainder when a is divided by 2?
1
Let h(n) = 13*n**3 + n - 1. What is the remainder when 101 is divided by h(1)?
10
Suppose -4*t + 4*h + 96 = 0, -5*t + 140 = -3*h + 2*h. What is the remainder when t is divided by 15?
14
Let q = 21 + -15. Let z = q + -12. What is the remainder when 17 is divided by z/4*30/(-9)?
2
Suppose 0 = -2*z - z + 96. Let n = 39 - 12. Let s = n + -16. Calculate the remainder when z is divided by s.
10
Suppose 3*l + 0*l - 33 = 0. Suppose -4*w + c + 25 = 0, w + 2*c = -1 + 5. Let o = l - w. Calculate the remainder when o is divided by 3.
2
Let q(w) = 3*w**2 - 24*w - 19. Let n(f) = -f**2 + 12*f + 9. Let y(c) = -5*n(c) - 2*q(c). Calculate the remainder when y(-8) is divided by 13.
12
Let b(s) = -85*s. Let p be -5 + 4 + 1 + -1. What is the remainder when b(p) is divided by 29?
27
Let b(d) = d**2 - 5*d + 3. What is the remainder when b(6) is divided by 6?
3
Suppose 3*m - 48 = 2*n + n, 4*n - 24 = -4*m. Calculate the remainder when 21 is divided by m.
10
Let f(q) = q**2 + 7*q - 12. Let r(w) = -w**3 + 5*w**2 + 4*w + 3. Let o be r(6). What is the remainder when 11 is divided by f(o)?
5
Suppose -6 = -5*p + 24. What is the remainder when 61 is divided by (-14)/((-3)/(27/p))?
19
Let z = -8 + 24. Let i be 1*-2 - (-14 - -2). Let p = i - -21. Calculate the remainder when p is divided by z.
15
Suppose -12 = 5*j - 2. Let u = -1 - j. Let k(q) = 9*q**3 + q**2 - 2*q + 1. Calculate the remainder when k(u) is divided by 5.
4
Let z = 10 + 26. Suppose g - z = -3*g - 5*j, -j - 8 = -3*g. Suppose 3*r = -m + 181, g*r - 252 = -0*m + 4*m. What is the remainder when r is divided by 16?
13
Suppose -2*a = 1 - 11. Suppose -a*p + 0*p = -60. Calculate the remainder when 23 is divided by p.
11
Suppose 0 = 7*u - 4*u + 18. Let o = 16 - u. Let d = 13 + -7. What is the remainder when o is divided by d?
4
Let v(n) be the third derivative of n**6/120 - n**5/10 + 2*n**3/3 + n**2. What is the remainder when v(6) is divided by (-4)/14 - 32/(-14)?
0
What is the remainder when 0 + 11 + -5 - -151 is divided by 40?
37
Let t = -61 + 82. What is the remainder when 40 is divided by t?
19
Suppose -7 = 3*f + 5. Calculate the remainder when (-185)/f + (-1)/4 is divided by 16.
14
Suppose -4*c + 120 = -c. Calculate the remainder when c is divided by 14.
12
Let g(z) = -z**3 + 6*z**2 + 7*z - 7. Let m(y) = -y + 16. Calculate the remainder when g(6) is divided by m(7).
8
Suppose -5*u + 123 = 53. Calculate the remainder when 51 is divided by u.
9
Suppose -2*b + 24 = k, -3*k + 5*b + 49 = 10. Calculate the remainder when k is divided by 5.
3
Calculate the remainder when (9/(-5))/(2/(6 + -26)) is divided by 8.
2
Suppose -5*u - 2*h + 33 = 0, u - 2 = -3*h + 15. Suppose u*f - 5 = 4*f - 2*k, 0 = -3*f - 4*k + 17. Calculate the remainder when 27 is divided by f.
6
Let g(o) = o - 12. Let i(a) = 2*a - 23. Let w(q) = 5*g(q) - 3*i(q). What is the remainder when w(5) is divided by 3?
1
Suppose a = -5*t + 6 + 41, 4*a + 4*t - 124 = 0. Suppose -5*z = 3*d - 107 + 38, 4*d = -8. Calculate the remainder when a is divided by z.
12
Suppose 246 = 3*u - 135. Calculate the remainder when u is divided by 26.
23
Suppose 68 = 4*s + 8. What is the remainder when 24 is divided by s?
9
Suppose 2*p - 3*y + 8*y - 73 = 0, 2*p - 94 = 2*y. Calculate the remainder when p is divided by 15.
14
Let g(x) = -4*x - 7. Suppose j - 18 = -2*t - 0*t, -5*j = 0. What is the remainder when g(-8) is divided by t?
7
Suppose 4*q + 91 = 3*v, -2*q = 3*q - 25. Suppose 4*h - 34 = 5*h. Let w = h + 47. What is the remainder when v is divided by w?
11
Let w(i) = 3*i**3 - 3*i - 6*i - 4 - 2*i**3 - 1 - 11*i**2. Calculate the remainder when 59 is divided by w(12).
28
Suppose 3*p - 166 = -2*k, 2*k - p = 6*k - 332. Calculate the remainder when k is divided by 38.
7
Let p = 31 - 19. Calculate the remainder when 21 is divided by p.
9
Let q(j) = -j - 4. Let m = 7 + -3. Suppose -5 = -m*i + 3. What is the remainder when i is divided by q(-6)?
0
Let c = -44 + 111. What is the remainder when c is divided by 23?
21
Suppose -2*a - 30 = 3*a. Let s = a - -20. Calculate the remainder when s is divided by 5.
4
Let d = -6 + 12. Suppose -d*s = -s - 130. Suppose 4*v - 7 = -2*x + 41, -x + 19 = v. What is the remainder when s is divided by x?
12
Let h(l) = -l**3 - 3*l**2 - 2*l + 1. Suppose 5*p = -20, p = -3*x - x + 16. Calculate the remainder when h(-3) is divided by x.
2
Let d(z) = z - 14. Let r be d(0). Let c = r + 31. What is the remainder when (-804)/(-16) + (-1)/4 is divided by c?
16
Let c(n) be the second derivative of n**5/20 - n**4/12 - 2*n**2 - 3*n. Let a(r) = 43*r**2 - r - 1. Calculate the remainder when a(1) is divided by c(3).
13
Suppose -2*v - v + p + 9 = 0, -2*v = -5*p - 6. Calculate the remainder when (1/2)/(6/36) is divided by v.
0
Suppose o + 8 = -o, -4*n + 2*o + 244 = 0. What is the remainder when n is divided by 30?
29
Let b(j) = 10*j - 9. Let a be b(9). Suppose -7 = -2*x + a. What is the remainder when x is divided by 15?
14
Suppose -2*q = -q - 4*k - 13, -2*k - 66 = -4*q. Calculate the remainder when q is divided by 5.
2
Suppose -2*n + 36 - 129 = -5*k, -2*n = k - 9. What is the remainder when 64 is divided by k?
13
Let h(s) = 3 + 7*s**2 + 3*s + 0 - 2.