inder when 32 is divided by n.
10
Let x(a) = -5*a**3 + 3*a**2 - 4*a - 3. What is the remainder when x(-2) is divided by 12?
9
Let u = -4 - -8. Suppose 0*p + u*p = 32. Calculate the remainder when 21 is divided by p.
5
Suppose 6*c = 3*c + 60. Let s = -6 + c. Calculate the remainder when 55 is divided by s.
13
Let n(f) = 4*f + 47. What is the remainder when 65 is divided by n(-9)?
10
Let x(h) = h**3 + 6*h**2 + 2*h + 1. What is the remainder when x(-4) is divided by 10?
5
What is the remainder when (-1)/1 - -55 - (-1 + 1) is divided by 12?
6
Let d = -7 + -27. Let b(t) = -t**3 - 6*t**2 - 5*t + 7. What is the remainder when 3/(-6)*(d + -4) is divided by b(-5)?
5
Let z be (-3)/2*(-100)/30. Suppose -3*f + 5*w = 2*f - 65, -z*w + 31 = f. Calculate the remainder when 45 is divided by f.
13
Let z(t) = -t + 1. Let m = 5 - 3. Suppose m*y + 4 = -0*y. What is the remainder when 4 is divided by z(y)?
1
Suppose 6*q - 2*q + 5*x - 139 = 0, 4*x - 12 = 0. Let o = 43 - q. What is the remainder when 46 is divided by o?
10
Suppose z = o + 8 - 52, -3*z + 204 = 5*o. What is the remainder when -19*(3 + -2 - 2) is divided by (10/(-15))/((-4)/o)?
5
What is the remainder when (7 - 1)*1/2 is divided by 2?
1
Let l(d) = -d. Let c be l(-2). Suppose v + c*v = 54. Calculate the remainder when 71 is divided by v.
17
Let k(n) = -2*n - 7. Calculate the remainder when 99 is divided by k(-16).
24
Suppose -4*r + 12 = -r. Suppose 5 = 5*q, z + r*q - 33 = -0. What is the remainder when z is divided by 8?
5
Suppose 0*u - 49 = -5*u + 4*f, f = 4*u - 37. Let t = u + -4. Suppose -3 = 3*b + 5*c + 5, 5*c = -t*b. What is the remainder when 10 is divided by b?
2
Let n(h) = 2*h**2 - 2*h + 7. Let x be 4/(-2) + (-1 - -8). Suppose -4*o + x*z = -20 - 47, -25 = -5*z. What is the remainder when n(6) is divided by o?
21
Let y be (2/(-5))/(2/20). Calculate the remainder when 5 is divided by (-16)/(-2) + y - 1.
2
Let a(b) be the third derivative of -b**6/120 + 3*b**5/20 + b**4/2 + b**3 - 6*b**2. What is the remainder when a(9) is divided by 29?
27
Suppose 13*h = 16*h - 27. Let p(r) = -r + 11. Calculate the remainder when h is divided by p(7).
1
Let m(h) = -h + 6. Calculate the remainder when 25 is divided by m(-4).
5
Suppose -n + 3*f = -4*n + 33, 2*n + 5*f = 13. Suppose -d - 4*r = -n, 4*d - 3*r = 5 + 13. What is the remainder when 16 is divided by d?
4
Let o = -40 + 51. Calculate the remainder when 53 is divided by o.
9
Let b(z) = -z**3 - 3*z**2 - 3*z - 2. Let n be b(-2). Calculate the remainder when 32 is divided by (-5 - n - -3) + 13.
10
What is the remainder when (26/8)/(2/8) is divided by 1 - (3/(-6))/((-5)/(-30))?
1
Suppose -3*s - 28 = -7*s. Suppose 19 = 2*x - x. Calculate the remainder when x is divided by s.
5
Suppose -2*o - 6 = -3*o. Let f be 4*(15/o - 2). Suppose -4*j = -3*g + 47, 0*g = -f*g - 2*j + 22. Calculate the remainder when 37 is divided by g.
11
Let h(p) = 5*p + 5. Let v be h(-4). What is the remainder when 57 is divided by v*((-1)/1 + 0)?
12
Suppose 5*p - 35 = -5*h, -4*h + 3*p + 27 = h. Suppose h + 12 = 2*w. Calculate the remainder when w is divided by 5.
4
Calculate the remainder when ((-1)/(-4))/((-8)/(-1184)) is divided by 21.
16
Suppose 3*n - 3*w = w + 59, 3*n = -5*w + 41. Calculate the remainder when 65 is divided by n.
14
Suppose 56 = 2*d - 2. What is the remainder when d is divided by 140/20 - (-6 - -3)?
9
Let z(i) = i**2 + 44. What is the remainder when z(0) is divided by 15?
14
Let v = -1 + 1. Suppose -3*t + 2*t = v, m = -5*t. Suppose -3*h + 9 = r, m = -r + 2*r - 4*h - 9. Calculate the remainder when r is divided by 5.
4
Let h = 39 + -26. Calculate the remainder when 25 is divided by h.
12
Let a(i) = -i - 1. Let h be a(-5). Let z = 7 - h. Suppose n + 11 = 3*n - 3*s, 0 = -5*n - s + 36. What is the remainder when n is divided by z?
1
Let u be (-1 - 1)/(1*-2). Let s = 8 - 5. Suppose s*g + 11 = -u, -4*r = -2*g - 16. Calculate the remainder when 4 is divided by r.
0
Let c be (-1)/(-1 + 0) + -1. Let y(a) = -a**3 - a**2 - a. Let f be y(c). Calculate the remainder when 13 is divided by 9 + -2 - f/4.
6
Suppose -82 - 14 = -4*x. Let t = 51 + 19. What is the remainder when t is divided by x?
22
Let q(s) = -s**3 + 7*s**2 + 2*s - 8. Let x = 13 + -6. Suppose -3*m + 45 = -6. What is the remainder when m is divided by q(x)?
5
Suppose 0*c = 3*c - 51. Calculate the remainder when c is divided by 9.
8
Let h(d) = -2*d + 1. Let u be h(-1). Calculate the remainder when 33 + u*(-1)/(-3) is divided by 9.
7
Suppose 5*t - 3*a - 31 = 0, -5*a + 23 = -3*t + 4*t. Suppose 4 = 3*n - t. What is the remainder when 11 is divided by n?
3
Let j = -10 - -6. Let k = j + 8. Calculate the remainder when 5 is divided by k.
1
Suppose -2*m + 2*w = -16 - 22, -4*m + 72 = -3*w. What is the remainder when 40 is divided by m?
10
Let k(q) = -q**3 - q**2 - 3*q + 10. What is the remainder when 28 is divided by k(0)?
8
Let p = -28 + 39. Suppose 71 = 4*f - v - 14, 17 = f + 4*v. What is the remainder when f is divided by p?
10
Let m = 1 + 7. Suppose -3*k - k = 20. Let b = 0 - k. What is the remainder when m is divided by b?
3
Let g(r) = r**2 + 4*r + 2. Suppose -3*b - 14 = -2. What is the remainder when g(b) is divided by 2?
0
Let a be 13/4 - (-4)/(-16). Suppose v = u + 23, -2*v = a*u + 7 - 68. What is the remainder when v is divided by 14?
12
Let j = -2 + 9. Let r = -2 + 4. Let y = 6 - r. Calculate the remainder when j is divided by y.
3
Suppose -5*a = 5, 3*f - 25 = 4*a - 0. What is the remainder when f is divided by 5?
2
Suppose 30 = 5*k - 3*m, -k + m = -0*k - 8. Let q(b) = -b + 6. Calculate the remainder when 7 is divided by q(k).
1
Suppose -5*x + 309 = 4*w, -3*x + 124 = 3*w - 62. Calculate the remainder when x is divided by -3 - 1 - ((-100)/1)/4.
19
Suppose -2*y + 315 = 13*y. Calculate the remainder when 98 is divided by y.
14
Suppose -d = 3*p - 36, 4*p - d - 35 = 2*d. Let w(m) = m**2 - 2*m + 4. Let u be w(4). Suppose t - 20 = u. Calculate the remainder when t is divided by p.
10
Suppose 0 = -j - 3*n + 2 - 13, -2*j = -3*n - 14. What is the remainder when 1 is divided by j?
0
Let l(s) = s**2 + 2*s - 8. Suppose 2*r - 6 = 0, 5*x - 3*r - 237 = -16. What is the remainder when x is divided by l(-6)?
14
Let y(b) = b**2 - 2. Let s = 13 - 5. What is the remainder when y(-5) is divided by s?
7
Let m = -14 + 17. Suppose -6*j = -m*j - 21. What is the remainder when 19 is divided by j?
5
Let c = -5 - -9. Suppose -4 = -0*n + 2*n, -2*y + 10 = 3*n. Calculate the remainder when y is divided by c.
0
Suppose -3*v - 4 = -2*v. Let c be ((-4)/6)/(v/30). Let w = 15 - c. What is the remainder when 19 is divided by w?
9
Let y = -2 + 7. Calculate the remainder when 19 is divided by y.
4
Let j(l) be the first derivative of -l**3/3 + l**2/2 + 16*l + 2. Suppose -4*n = v + 8, -3*v + 2 = -n - 0. Calculate the remainder when 47 is divided by j(v).
15
Let d(g) = g**2 + 32. What is the remainder when 95 is divided by d(0)?
31
Let l(t) = t**3 - 8*t**2 - 9*t + 4. Let x be l(9). Suppose -5*b + 82 = 5*s - 3*b, s = -x*b + 2. What is the remainder when s is divided by 10?
8
Let m(d) = d**3 - 5*d**2 - 8*d + 14. Let u be m(6). Suppose -u*f - 4*h = -32, -2*f + 36 = 5*h - 0. What is the remainder when 30 is divided by f?
6
Let n be 6*-3*(-4)/18. Let u = 11 + -5. What is the remainder when -1*22*(-2)/n is divided by u?
5
Calculate the remainder when (-2 - -1)/((-2)/60) is divided by (-5)/(15/(-57)) + -3.
14
Let l be 2/(-4)*(-4)/(-1). What is the remainder when 21 is divided by (-4)/((-8)/(-11))*l?
10
Let u(z) = -14*z**3 + 1. What is the remainder when 100 is divided by u(-1)?
10
Let i(s) = -5*s - 9. What is the remainder when 60 is divided by i(-6)?
18
Let b(l) = -2*l**3 + 4*l + 3. Suppose 0 = -0*g - 5*g - 10. What is the remainder when (9/6)/((-6)/(-128)) is divided by b(g)?
10
Suppose 0 = -2*k + 4*x + 38, -6 = -4*k + 3*x + 70. Suppose -k = -3*l + 17. Calculate the remainder when 23 is divided by l.
11
Let b(h) = h**3 + 7*h**2 + 6*h + 9. Let q be b(-6). Suppose 4 = -g + q. Calculate the remainder when 9 is divided by g.
4
Let j(d) be the third derivative of d**6/120 + d**5/15 + d**4/6 + 2*d**3/3 + 7*d**2. Let t = 3 - 2. What is the remainder when t is divided by j(-3)?
0
Let g = 16 + 2. Calculate the remainder when g is divided by 7.
4
Let o(g) = g**2 + g - 5. Let u be