er when p is divided by (-7 + 19)*(-2)/(-4).
5
Suppose 12*f + 4*f - 2224 = 0. What is the remainder when f is divided by 48?
43
Suppose 3*d = -5*c + 52 - 18, 3*c = -d + 18. Calculate the remainder when d is divided by 3.
0
Let i = -52 - -86. Suppose 63 = -0*u + 4*u - m, 0 = -2*u - 2*m + i. What is the remainder when 47 is divided by u?
15
Suppose -3*d + 2*m + 2*m = -53, -7 = -2*d - 3*m. Let y(a) = 32*a**2 - a - 2. Let v be (4/6)/((-22)/33). Calculate the remainder when y(v) is divided by d.
9
Let y(x) = 3*x**3 - 2*x**2 - 2. What is the remainder when y(2) is divided by 5?
4
Let p = -5 + -10. Let b = 18 + p. Let u = 8 + -1. Calculate the remainder when u is divided by b.
1
What is the remainder when 1/(130/(-66) - -2) is divided by 12?
9
Suppose 2*g = 4*b - g - 94, g = -3*b + 64. What is the remainder when b is divided by 6?
4
Suppose -7*s = -s - 420. Calculate the remainder when s is divided by 12.
10
Suppose -5 = -j - 1. Let o(x) = -3*x**2 - x - 2. Let s be o(-2). Calculate the remainder when (-123)/s + 1/(-4) is divided by j.
2
Let g(x) = x**2 + 10*x + 12. Let a be g(-9). Suppose -a*n = -3 - 3. Suppose v - 4*v + z = -25, n*z + 8 = 0. What is the remainder when v is divided by 4?
3
Suppose -31 = -2*b - 9. What is the remainder when 2 - (112/(-4) - 0) is divided by b?
8
Suppose 5*h - 3*g = 28, -4*h - g = -h - 28. What is the remainder when 11 is divided by h?
3
Let w = -34 + 49. Suppose -3*c - 19 = -2*c. Let z = 9 - c. Calculate the remainder when z is divided by w.
13
Suppose 8*w - w = 238. What is the remainder when w is divided by 18?
16
Suppose 0 = g + g + 44. Calculate the remainder when (0 + -1)*-4 - g is divided by 10.
6
Let d = -214 + 298. What is the remainder when d is divided by 29?
26
Let v = 196 - 55. Suppose 365 = 5*l - 5*n, -5*n + v = 4*l - 169. What is the remainder when l is divided by 19?
18
Suppose 7 + 133 = 4*r. Let y be 1 - ((-1)/(-1) + -4). Suppose -42 = -3*f - 3*g, -y*f = 2*g - r - 29. Calculate the remainder when 53 is divided by f.
17
Let z = -43 - -95. Suppose -26 - z = -d. Let c = d - 53. What is the remainder when c is divided by 13?
12
Calculate the remainder when (((-18)/8)/3)/((-4)/304) is divided by (-1)/(3/(-1 + -89)).
27
Suppose f + 3*x - 14 = 0, 8 = 4*x - 2*x. Suppose f*i = 4*i. Suppose i*g - g + 53 = 0. What is the remainder when g is divided by 18?
17
Let f = 4 - -2. Let o(y) be the third derivative of -y**6/120 + 7*y**5/60 - y**4/6 + 2*y**2. What is the remainder when 23 is divided by o(f)?
11
Let j(d) be the third derivative of -d**5/60 + 2*d**4/3 - 5*d**3/3 + 9*d**2. What is the remainder when j(8) is divided by 19?
16
Suppose 5*r + 4*a = -30, -r + a + 6 = -2*r. Let t be r/2*(-2)/3. Suppose 3*o - t*g - 19 = -6*g, 4*o - 37 = -3*g. What is the remainder when 37 is divided by o?
11
Suppose -6*t + 196 = -2*t. Calculate the remainder when t is divided by -39*5/(-45)*3.
10
Let n = -394 + 567. What is the remainder when n is divided by 44?
41
Let z(b) = -10*b - 28. Calculate the remainder when 63 is divided by z(-5).
19
Let z(g) = g**3 + 8*g**2 + 6*g - 9. Let r be z(-7). What is the remainder when -12*(4 + r)/(-6) is divided by 2?
0
Let s(q) = -1 - 13*q + 2*q + 1. Suppose -6*l - 4*r = -l - 14, -l + 10 = -r. What is the remainder when s(-2) is divided by l?
4
Let v = 113 - 81. Let n = v + -6. Calculate the remainder when 51 is divided by n.
25
Let j = 18 - 3. Suppose -u + 3*x = -8, -j = -u + x - 1. What is the remainder when u is divided by 5?
2
Let t = -13 - -8. Calculate the remainder when 23 is divided by t/20 + (-33)/(-4).
7
Let z(i) = -i**3 + 4*i**2 + 2*i - 4. What is the remainder when 14 is divided by z(4)?
2
Let i(d) = -d**3 - 3*d**2 + 4*d + 2. Let h be i(-4). Calculate the remainder when 10/3 + (-4)/(-6) is divided by 2 + -2 + 1 + h.
1
Suppose -5*h - 115 - 25 = 0. Let b = h - -45. What is the remainder when 0 - 0 - 0 - -49 is divided by b?
15
Let l be (-11 + -7)/(6/4). Calculate the remainder when ((-16)/(-6))/((-1)/l) is divided by 17.
15
Let z = 21 + -13. Let n = -136 - -159. Calculate the remainder when n is divided by z.
7
Suppose f = -x, x + 0*x = 2*f + 6. Let q = 11 + 7. Calculate the remainder when (-2*x)/(2/(-17)) is divided by q.
16
Suppose 3*u - 66 = u. What is the remainder when u is divided by 19?
14
Suppose -o = 8 - 25. What is the remainder when 28 is divided by o?
11
Let f be (2 - 30/9)*-3. Suppose 0 = 2*j - 0*j - 332. Suppose -j - f = -5*v. Calculate the remainder when v is divided by 18.
16
Let j = 16 + -10. Calculate the remainder when j is divided by 4.
2
Suppose -z - z = -106. Calculate the remainder when z is divided by 21*(-1 - -2) + -3.
17
Let m be 1 - (1 + 1)/2. Suppose m = -3*g - 2*g + 70. Calculate the remainder when g is divided by 8.
6
Let o(p) be the second derivative of -p**5/20 - p**4/2 + 5*p**3/6 + 3*p**2/2 - 2*p. Calculate the remainder when o(-7) is divided by 6.
5
Let g(m) = m**2 - 13*m + 6. Let u be g(12). Let r(i) = -i**2 - 13*i + 2. Calculate the remainder when r(u) is divided by 9.
8
Let n(q) = -50*q**3 + 4*q - 4. Let b(g) = g**3 - g + 1. Let i(v) = -3*b(v) - n(v). Calculate the remainder when i(1) is divided by 16.
15
Calculate the remainder when 82 is divided by ((-21)/(-2))/((-2)/(-4)).
19
Let l = -55 - -87. What is the remainder when l is divided by 5?
2
Suppose g + g - 55 = 5*q, -3*g + 3*q = -60. What is the remainder when g is divided by 9?
6
Let s(y) = y**2 - 2*y + 2. Suppose -4 = -3*n + 8. Suppose -m - 2*x + 31 = -0*x, n*x + 4 = 0. What is the remainder when m is divided by s(5)?
16
Suppose 0 = -2*t - 0*t + 98. Suppose 0 = -c + 3*c - 34. What is the remainder when t is divided by c?
15
Let i = -208 - -246. Suppose 4*g = -0 + 32. What is the remainder when i is divided by g?
6
Let w = 5 + 1. What is the remainder when 20 is divided by w?
2
Let j(p) = p**3 - 5*p**2 - 5*p + 2. Suppose -2*c + a + 30 = 3*c, 0 = 2*c - a - 15. What is the remainder when j(6) is divided by c?
3
Let j(a) = a**3 + 7*a**2 + 2*a + 2. What is the remainder when 181 is divided by j(-6)?
25
Let f(x) = 2*x**2 - x - 4. Let q = 2 - 6. Let t(w) = -w**2 - 13*w - 19. What is the remainder when f(q) is divided by t(-10)?
10
Suppose 4*s = -4*f + s + 28, 0 = 3*f + 4*s - 28. Suppose -v = f*v - 25. Suppose -5*z = 0, 60 - 6 = 3*w - 4*z. Calculate the remainder when w is divided by v.
3
Suppose 9*b - 5*b = 16. Let c(w) be the third derivative of w**4/3 + 5*w**3/6 + 4*w**2. What is the remainder when c(b) is divided by 13?
11
Suppose 0 = -5*c - 6 + 21. Suppose q + a = c*a + 64, -88 = -2*q - 4*a. What is the remainder when q is divided by 19?
16
Calculate the remainder when -3 - -5 - (4 + -26) is divided by 14.
10
Suppose 0 = 9*z - 121 + 31. What is the remainder when 49 is divided by z?
9
Suppose -2*x - 200 = -7*x. Suppose -b = -5*b + 4*s + x, -3*b + 35 = 2*s. Suppose 5*h - 2*g = 109, -g + 0 = 2. Calculate the remainder when h is divided by b.
10
Let f(i) = i - 1. Let h be f(4). Suppose 0 = 6*p - 7*p - 5*x - 15, h*x + 5 = -p. Let q(j) = 2*j - 4. Calculate the remainder when p is divided by q(5).
4
Suppose 0 = -5*w + w - 24. Let v(m) = -2*m - 7. What is the remainder when 19 is divided by v(w)?
4
Suppose -5*k + 584 = 4*u, -12*k + 10*k - 2*u + 234 = 0. What is the remainder when k is divided by 17?
14
Let p(o) = 5*o - o**2 + 8 + 7 - 17*o - 3. What is the remainder when 22 is divided by p(-12)?
10
Let x(w) = w + 2. Let p(o) = -3*o + 5. Let i(j) = -j + 1. Let r be i(5). What is the remainder when p(r) is divided by x(4)?
5
Let q = 23 - 13. Let n be 1 - (-3 - (-2)/2). What is the remainder when -24*2/(-8)*n is divided by q?
8
Let s(y) = -y**3 - 8*y**2 - 8*y - 4. Let b be s(-7). Suppose -b*d = 3*h - 18, 0*h - 4*d = -4*h + 40. Calculate the remainder when 14 is divided by h.
6
Suppose 6*c = 3*c - 24. Let k(x) = x - 5. Let r be k(c). Let j = r + 21. Calculate the remainder when j is divided by 5.
3
Calculate the remainder when (52/(-8))/((-1)/2) is divided by 2.
1
Let r(p) = p**2 - 3*p - 15. Calculate the remainder when r(9) is divided by 15.
9
Let j = -23 + 28. What is the remainder when j is divided by 2?
1
Let f(c) be the first derivative of -7*c**2 + c + 4. Calculate the remainder when f(-2) is divided by 10.
9
Let z(d) be the first derivative of d**2 + 2. What is the remainder when 30 is divided by z