0*i - 3*i + 45 = 0. Calculate the remainder when i is divided by 8.
7
Let s = -427 + 682. Calculate the remainder when s is divided by 64.
63
Let v = 14 + -10. Suppose -v*n + 41 = -63. Suppose 0*d - 4*d + 56 = 0. Calculate the remainder when n is divided by d.
12
Suppose c = -3*a + 5*a + 18, -3*c = -5*a - 55. Suppose 4*h - 80 = 4*v, -2*h - 4*v = -h - c. What is the remainder when h is divided by 11?
9
Suppose -46 = -3*s + 56. Calculate the remainder when s is divided by 12.
10
Calculate the remainder when -5 + 4 - -7*10 is divided by 18.
15
Suppose 8 = -a - 5*n + 22, 4*a - 12 = 2*n. Suppose 3*b = -5*h - 2 - 3, a*h = b - 4. What is the remainder when 27 is divided by (b + 1)*12 + 2?
13
Suppose 2*y = -0*y + 120. Suppose 3*q - y = -0*q. Suppose b - 4*j + 7*j + 5 = 0, -3*j = -2*b + 26. Calculate the remainder when q is divided by b.
6
Suppose -7 - 1 = -4*m. Let q(w) = 7*w - 3. Calculate the remainder when 20 is divided by q(m).
9
Suppose -4*z = 4*d - 56, -2*d + 2*z + 56 = 2*d. Calculate the remainder when 36 is divided by d.
8
Suppose 2*w + 5*d = 52, 3*d + 88 = 2*w - d. Let g(x) = -x**3 + 6*x**2 - 2*x - 2. What is the remainder when w is divided by g(5)?
10
Let q(s) = -14*s + 8. Calculate the remainder when 120 is divided by q(-2).
12
Suppose 3*h = 5*h. Suppose h = 5*x - 31 - 4. Calculate the remainder when x is divided by 4.
3
Suppose -2*r = -5*p - r + 246, 2*p = 2*r + 100. What is the remainder when p is divided by 17?
15
Suppose -6*j = -o - 2*j, 2*o - 7 = j. Let b = 12 + -11. What is the remainder when o is divided by (b + (-1 - 3))*-1?
1
Let w be ((-4 + -2)/2)/1. What is the remainder when 0 + 3/w + 4 is divided by 3?
0
Let l = 0 - -3. Suppose l*k + k - 2*p = 70, -2*k = 3*p - 39. What is the remainder when 35 is divided by k?
17
Let z = -38 - -55. What is the remainder when 47 is divided by z?
13
Let o(k) = -k**3 - 2*k**2 + 2*k - 4. Let r be ((-88)/10)/(2/(-5)). Suppose 2*z - r = -0*z. What is the remainder when o(-4) is divided by z?
9
Let y(b) = -33*b**3 + b**2 + 2. Let g be y(2). Let f = -176 - g. Calculate the remainder when f is divided by 21.
19
Let z(f) be the second derivative of -f**3/3 - f**2 - 4*f. What is the remainder when 79 is divided by z(-11)?
19
Let q(i) = i**2 + 621. Let v be q(0). Calculate the remainder when 68 is divided by v/(-18)*4/(-6).
22
Let l be 30*(-1)/(-4)*2. Suppose 5*q - 55 = l. Calculate the remainder when 40 is divided by q.
12
Calculate the remainder when (-11)/(((-20)/5)/12) is divided by 12.
9
Suppose 0 = -0*p - 2*p + 12. Suppose -5 = -5*v - 5*u, -5*u = 5*v - 2*u + 1. What is the remainder when 130/15 - v/p is divided by 5?
4
Suppose -3 = 7*l - 4*l - 4*i, -15 = -4*l - i. Suppose 81 = 3*b + l*y, 3*y = 6*y. Calculate the remainder when b is divided by 14.
13
Suppose -2*p - 90 = -5*p. Suppose 0 = -h - 2*h. Suppose h = 2*x - 5*a - 17, 6*a = 3*x + a - 33. Calculate the remainder when p is divided by x.
14
Suppose -3*h - 348 = -9*h. Suppose 5*q = 3*q. Suppose 2*a - 4*a + 40 = q. What is the remainder when h is divided by a?
18
Let v = -7 + 11. Suppose 0 = -5*q - 3*r + 1 - 0, 0 = -3*q - r + 3. Calculate the remainder when v is divided by q.
0
Let x(y) = 2*y**2 + 6*y + 1. Let b be 9/(-3)*2/1. Let c be x(b). Let m = -26 + c. What is the remainder when m is divided by 4?
3
Suppose z + z + 5*t = 13, -3*t = -3. What is the remainder when 10 is divided by z?
2
Suppose -3*v + 9 = -2*v. Let o = v - 0. Calculate the remainder when -50*((-2)/(-4) - 1) is divided by o.
7
Suppose -4*p = -3*p - 20. Suppose 4*f + p = 68. Calculate the remainder when f is divided by 5.
2
Suppose -3 = -4*o + 145. Let m(k) = 4*k**2 + 2*k - 2. What is the remainder when o is divided by m(-2)?
7
Let j(g) = -g**2 + 11*g + 28. What is the remainder when 80 is divided by j(11)?
24
Suppose 3*b + 2 + 1 = 0. Calculate the remainder when 7/(21/150) - b is divided by 18.
15
Suppose -2*p - 4 = 4*d, 0*p - 4 = -3*p - d. Let f(s) = -2*s - 7. What is the remainder when f(-6) is divided by p?
1
Let l be 920/(-90) + 4/18. Let j = -3 - l. What is the remainder when 27 is divided by j?
6
Let g(m) = 4*m - 13. Suppose 3*n - 57 - 3 = 0. What is the remainder when g(13) is divided by n?
19
Let u = -74 + 122. Calculate the remainder when u is divided by 1 + 2 - (1 + -11).
9
Suppose 0*i - 130 = -5*i. Calculate the remainder when i is divided by 7.
5
Suppose -v = -0*v. Suppose 6*r - 2*r - 124 = v. Calculate the remainder when r is divided by 8.
7
Let p = 2 + 19. Let t = 4 - -1. Suppose 3*m + 44 = l, -3*l + 55 = t*m - p. Calculate the remainder when l is divided by 11.
10
Suppose 0 = -2*w - 3*u, 3*u - 10 = 8*u. Suppose -5*o - n = -58, -w*n = o - 15 - 5. What is the remainder when 31 is divided by o?
9
Suppose -4*z - 4*a + 370 = -6*z, -3*z - 530 = -a. Let r = -124 - z. Calculate the remainder when r is divided by 18.
15
Let d = 7 + -10. Let u(g) = 6 - 3 - 2*g**2 + 5*g**2 + 4*g. Calculate the remainder when 35 is divided by u(d).
17
Suppose 0 = -9*h + 252 + 36. What is the remainder when 158 is divided by h?
30
Suppose 6*c - 39*c = -363. Suppose -42 = -2*z - 4. What is the remainder when z is divided by c?
8
Let s(a) = -a + 7 + a**2 + 4*a - 2*a**2 + 8*a. What is the remainder when 49 is divided by s(10)?
15
Suppose -2 = -2*m + m. Suppose 4*l - l = -3. Let v = l + m. What is the remainder when v is divided by 1?
0
Let d be -1 + 1 - (-4 + 4). Let n be (-16)/3*(d + -3). Let b = n - 10. Calculate the remainder when 10 is divided by b.
4
Let p(q) = 4*q - 2. Let k(n) = 7*n - 3. Let x(w) = 3*k(w) - 5*p(w). Let d be x(-2). Calculate the remainder when 9 is divided by (d - (-1)/2)*-10.
4
Suppose z - 14 = -6. Let o(c) = 2*c**3 + 2*c**2 - 4*c + 7. What is the remainder when o(2) is divided by z?
7
Suppose -13 - 1 = -2*o. Let f be -12*((-14)/6 - -2). Suppose q - 23 = -4*m, 4*q + f*m - 34 = 22. Calculate the remainder when q is divided by o.
4
Let t(a) = a. Let q(d) = 2*d + 3. Let l(s) = -q(s) + 6*t(s). Let k = 4 + 3. What is the remainder when l(4) is divided by k?
6
Let g = 22 + -12. What is the remainder when g is divided by 6?
4
What is the remainder when 5/((-5)/(-58)) + -3 is divided by 8?
7
Let z be 2 + (-1 - 3) - -9. Let c = 26 - z. Calculate the remainder when c is divided by 10.
9
Suppose 2*r - 36 = -16. What is the remainder when r is divided by 4?
2
Suppose -n + 4*q + 23 - 6 = 0, 4*q = -2*n + 34. Calculate the remainder when n is divided by 14.
3
Let c = 48 + 22. Calculate the remainder when c is divided by 18.
16
Let g = -4 - -10. Calculate the remainder when 59 is divided by -15*(0 - 8/g).
19
Let h = -31 - -52. Suppose 2*s = 5*s - h. What is the remainder when s is divided by 4?
3
Calculate the remainder when 18 is divided by (-420)/(-56)*(-16)/(-10).
6
Let k = 68 - 28. Let p(u) = u**2 + 4*u - 7. Let t = -3 - 4. What is the remainder when k is divided by p(t)?
12
Let r(c) be the third derivative of -c**6/120 + c**4/8 + 2*c**3/3 - c**2. Calculate the remainder when 87 is divided by r(-3).
21
Let k = 3 + -1. Suppose -24 = -5*f + k*f. Calculate the remainder when f is divided by 5.
3
Suppose 0 = a + 2*a - 3*h - 30, 2*h = 5*a - 62. What is the remainder when a is divided by 8?
6
Suppose 2*v = 12 + 8. What is the remainder when 27 is divided by v?
7
Suppose t - 3*t + 9 = 5*j, 13 = 5*t + 3*j. Suppose -n + 14 = t. Calculate the remainder when n is divided by 7.
5
Let t = -3 + 0. Let c(f) be the third derivative of f**5/15 + f**4/24 + 2*f**3/3 - f**2. What is the remainder when c(t) is divided by 19?
18
Suppose 72 = 4*h - 0*h. Calculate the remainder when 29 is divided by h.
11
Let o = 65 + -9. Suppose -4*w + 3 = -73. Calculate the remainder when o is divided by w.
18
Let i(s) = s**2 - 14*s + 9. Calculate the remainder when 106 is divided by i(14).
7
Let d(x) = -x**3 - 3*x**2 + 5*x - 2*x + 1 + 0*x. Suppose 3*p = -z + 8, 5*p = z + 37 - 13. Calculate the remainder when 13 is divided by d(z).
3
Suppose 24*o - 19*o - 230 = 0. What is the remainder when 135 is divided by o?
43
Suppose 5*l = 4*o + o + 885, 2*l - o = 356. What is the remainder when l is divided by 20?
19
Let o = 58 + 4. Let a = o - 13. Suppose 17 = 2*g - 9. What is the remainder when a is divided by g?
10
Let x = 2 + -5. Calculate the remainder when 1*x/(-6)*12 is divided by 6/15 + (-36)/(-10).
2
Suppose -3*y - y = -1