a. Let p(g) = -g**3 - g**2 - 2*g - 4. Calculate the remainder when n is divided by p(-3).
18
Suppose 0 = d - 23 - 0. Let a = 10 - 2. Calculate the remainder when d is divided by a.
7
Let o = 69 + -67. Calculate the remainder when 4 is divided by o.
0
Let m be (4/(-2))/(-3 + 2). Let b = 8 - m. Calculate the remainder when 16 is divided by b.
4
Suppose 83 = 5*n + 3. Suppose 0 = 2*w - n - 4. Calculate the remainder when w is divided by 6.
4
Let r = -5 - -21. Let b = 455 + -640. What is the remainder when 9/27 - b/3 is divided by r?
14
Let i(p) = p + 10. Let r(o) = -2*o + 1. Let t be r(3). Let d = -11 - t. Calculate the remainder when i(d) is divided by 3.
1
Let t(n) = -n**3 + 8*n**2 - n + 2. Let s be t(8). What is the remainder when (-264)/(-10) - s/10 is divided by 14?
13
What is the remainder when (-10)/(-45) - 1936/(-36) is divided by 14?
12
Let q = 9 - -2. Suppose 0 = -8*z + 13*z + 30. Calculate the remainder when z/(-9)*(41 + 4) is divided by q.
8
Suppose 3*m - 21 = -27. Let n(h) = -17*h + 6. Let d(t) = -6*t + 2. Let b(g) = -8*d(g) + 3*n(g). What is the remainder when b(m) is divided by 3?
2
Suppose 0 = 4*k - 2*k - 100. Calculate the remainder when k is divided by 13.
11
Let j = 20 + -8. Let a = -70 + 116. Calculate the remainder when a is divided by j.
10
Let x = -6 - -11. Calculate the remainder when x is divided by 15/4 - (-7)/28.
1
Suppose -5*v = -2*y - 16, -2*y = 5*v - 14 - 10. Calculate the remainder when y is divided by 2.
0
Let o(z) = 2*z**2 - 15*z + 22. Calculate the remainder when 32 is divided by o(6).
0
Calculate the remainder when 27/1 + (-8)/(-2) is divided by 19.
12
Let s = 19 - 41. Let f = -15 - s. What is the remainder when 13 is divided by f?
6
Suppose 53 = -z + 2*z. Calculate the remainder when z is divided by -2*(-9)/((-1)/(-1)).
17
Let s(q) = -q**2 + 2*q + 14. Let f(m) be the first derivative of -m**2 - 2. Calculate the remainder when s(0) is divided by f(-2).
2
Let a be 24*((-2)/4 - -1). Suppose 5*p = m + m - 1, -3*p - 3*m = -a. Suppose -3*v - 2*v = -10. What is the remainder when v is divided by p?
0
Let c(j) = j**2 + 10*j + 23. What is the remainder when 91 is divided by c(-10)?
22
Suppose 8 + 4 = -4*h - 5*u, 2*u = -8. Let l = h + -1. Suppose 3*z + 4 = 5*z. Calculate the remainder when z is divided by l.
0
Suppose 4*v - 8 = -2*z, 5*v - 23 - 5 = 2*z. What is the remainder when 5 is divided by v?
1
Let j be -3 + 6 + (2 - 1). Calculate the remainder when (-2)/(-8) - (-83)/j is divided by 11.
10
Suppose 2*y - 7*g - 49 = -2*g, g = -5*y + 55. Suppose -49 - 9 = l. Let b = l + 92. What is the remainder when b is divided by y?
10
Suppose -13 = -4*y + 11. Let j(s) = s**2 + s - 5. Calculate the remainder when j(y) is divided by 13.
11
Suppose 0 = 4*f + 5*h - 591, -3*f + 420 = -h - 3*h. Calculate the remainder when f is divided by 38.
30
Let u(t) = 3*t + 1. Suppose -j - 4*j + 20 = 0. What is the remainder when u(4) is divided by j?
1
Suppose 6*c - 5*c - 54 = 0. What is the remainder when c is divided by 19?
16
Suppose 6*j - 500 = 178. What is the remainder when j is divided by 39?
35
Let f = 50 - 28. Calculate the remainder when f is divided by 6.
4
Suppose 3*i = 5*k - 763, 6*k - 2*k - 5*i = 600. Suppose 21 = 5*h - 4*v - k, 5*v = h - 31. What is the remainder when h is divided by 20?
16
Let x = -6 + 7. Let y = 4 - x. Calculate the remainder when 11 is divided by y.
2
Let y(r) = -3*r**2 - 2*r - 2. Let j be y(4). Let d(v) = 3*v + 3. What is the remainder when (j/(-4))/((-2)/(-4)) is divided by d(4)?
14
Let h = -9 + 15. Suppose -r + h*r - 60 = 0. What is the remainder when 23 is divided by r?
11
Suppose p - 6 = -5*r + 21, -5*r + 78 = 4*p. Calculate the remainder when 50 is divided by p.
16
Calculate the remainder when (-114)/(-1)*(2 - 12/9) is divided by 20.
16
Let d = 44 + -24. What is the remainder when d is divided by 8?
4
Suppose -n + 6 = 2*x, -2*x + 0 = -4*n + 44. Let d(f) = 5*f**2 + 2*f - 1. What is the remainder when n is divided by d(1)?
4
Let z = -76 - -126. What is the remainder when z is divided by 2 - (-30)/(-4)*-2?
16
Calculate the remainder when 23 is divided by (-1*1)/(21/(-105)).
3
Let r = -4 - -7. Suppose -f - 8 = -r*f. What is the remainder when f is divided by 3?
1
Suppose 0 = -4*n + 4*o + 292, -3*n + 0*o + 4*o + 220 = 0. Suppose -2 = -2*w - 4*a, -4*w + 3*a - 13 + n = 0. Calculate the remainder when 41 is divided by w.
8
Let l(w) = 17*w**2 - w. Let s = -15 + 6. Let z be (-15)/s + 2/(-3). Calculate the remainder when l(z) is divided by 9.
7
Let g = 4 + -1. Let o = g - 1. What is the remainder when 4 is divided by o?
0
Suppose -2*x + 13 = -3*h, -2*h = x + 2 + 2. Suppose 0 = x*t - 82 + 6. Let p = -10 + t. What is the remainder when p is divided by 10?
8
Suppose -4*g + 377 = -g + 2*l, 2*l = -2*g + 252. What is the remainder when (-2 + (8 - -1))*2 is divided by g/15 + (-2)/6?
6
Let o = 1 - 1. What is the remainder when 11 is divided by (3 - o)/3 + 3?
3
Let d = -82 - -137. Suppose 4*v + 84 = -56. Let a = v + d. What is the remainder when a is divided by 7?
6
Let o be (1 - (-3 + 2)) + 4. Suppose -q - 3 = -3*y, -3*y - 4*q - 14 + 2 = 0. Suppose y = -o*u + 7*u - 17. What is the remainder when 50 is divided by u?
16
Suppose -1 = -2*w + 3. Let k(d) = -8*d**2 + 9*d + 10*d**3 + d**2 - 11*d**3 - w*d**2. What is the remainder when 28 is divided by k(-10)?
8
Suppose -2*m - 1 = -5*f + 7, 2*f + 4*m = -16. Suppose -130 = -5*s - f*s. Let x = -9 - -23. What is the remainder when s is divided by x?
12
Let u = -5 + 7. Let g(y) = 5*y**2 - y. Let n be g(1). What is the remainder when n + 0 + (3 - 0) is divided by u?
1
Suppose -4*r + 5*c + 13 = -74, -4*c + 78 = 5*r. Calculate the remainder when r is divided by 10.
8
Suppose 2*g - g = -2*u + 10, -5*g - 2 = -3*u. Suppose 4*p + 5*o - 18 = 0, 8 = p - u*o - 7. Calculate the remainder when 26 is divided by p.
5
Suppose 6*j = -5*j + 77. Calculate the remainder when 22 is divided by j.
1
Suppose 0 = 3*v - 4*h + 27, 2*v + 18 = 5*h - 0*h. Let f be (-26)/3 + (-6)/v. Let s(i) = i + 9. Calculate the remainder when 1 is divided by s(f).
0
Suppose 4*s - 24 = f - 0, s + 20 = -3*f. Let t = f - -19. Suppose 2*h + h = 12. What is the remainder when t is divided by h?
3
Suppose 8 = -a - a, -5*p = -2*a - 53. Let n = 51 - 33. What is the remainder when n is divided by (p - -11)/(4/2)?
8
Let s = 107 + -72. Suppose -4*y - y + 70 = -5*x, -2*x = -4*y + 64. What is the remainder when s/(1/4*4) is divided by y?
17
Suppose 0 = -v + 5, y = 4*y - 3*v - 27. Suppose 5*r = t - 85, 2*t + 3*r - 157 = -0*r. Let b = -40 + t. Calculate the remainder when b is divided by y.
12
Let o = -10 + 16. Suppose 0 = 7*z - 458 + 304. What is the remainder when z is divided by o?
4
Let s be 1/2 - (-7)/2. Suppose s*r - 21 = 5*k + 21, 5*r + 2*k - 36 = 0. Let m = -104 - -118. What is the remainder when m is divided by r?
6
Let v be (6/(-12))/(2/48). Let m = v - -23. Calculate the remainder when 32 is divided by m.
10
Let o be 0 - (1 - 16/(-2)). Let q(u) = -4*u - 5. Let y be q(o). Suppose r = 5*m + y, 29 = 2*r + m - 0*m. What is the remainder when 29 is divided by r?
13
What is the remainder when 42 is divided by (-2 - -16) + -1 + 2?
12
Suppose -3*r - 21 = -3*s, -3*r = -r. Suppose -s*y = i - 3*y - 7, 4*i = 4*y + 108. Suppose -4*x = -106 - 74. Calculate the remainder when x is divided by i.
22
Let f(a) = -a + 3. Calculate the remainder when 18 is divided by f(-4).
4
Let o(v) = -223*v**3 + 1. Let n be o(-1). Suppose -3*f = -5*q + n - 70, 104 = -3*f - 5*q. Let s = 69 + f. What is the remainder when s is divided by 9?
8
Let b be 2*3/(-6)*-2. Suppose -3*t = b*y - 117, 2*y + 25 = t - 2*y. Calculate the remainder when t is divided by 10.
7
Let z(w) = -2*w**2 - 59*w + 35. Let p be (-28)/6*(8 + 1). Calculate the remainder when (8/6)/((-4)/p) is divided by z(-30).
4
Let h(f) = 2*f - 12. What is the remainder when ((-1)/(-2))/(3/216) is divided by h(11)?
6
Let j(g) = -7*g - 9. Let v(y) = -y. Let b be v(8). What is the remainder when j(b) is divided by 16?
15
Calculate the remainder when (-2 - 4/(-2)) + 95 is divided by 24.
23
Suppose 5*p = 155 - 55. What is the remainder when p is divided by 7?
6
Let y = -28 + 50. What is the remainder when 66 is divided by 1*(y + -3) + -2?
15
Suppose 0 = 2*a - 5 - 23. Calculate the remainder when 25 is divided by a.
