 remainder when z(-11) is divided by j(4)?
16
Let v = -2 - -10. Suppose -2*u + 32 = q, -14 + 52 = 3*u - q. Calculate the remainder when u is divided by v.
6
Let g = -243 - -125. Let p = -65 - g. Suppose 4*a = 30 + 42. What is the remainder when p is divided by a?
17
Let a(g) = g**3 + 6*g**2 + 5*g + 2. Let w be a(-5). Suppose -w*d = 2*d - 656. Suppose 4*b - 12 = d. Calculate the remainder when b is divided by 15.
14
Calculate the remainder when 26 is divided by 1/(-2) + 29/2.
12
Let p(g) = -5*g**3 - 4*g**2 - 4*g + 5. Let x(d) = 4*d**3 + 4*d**2 + 3*d - 5. Let a(h) = -5*p(h) - 6*x(h). What is the remainder when a(4) is divided by 5?
3
Suppose 3*j = -12, 0 = 3*x + 2*j + 2*j - 98. What is the remainder when x is divided by 20?
18
Suppose 2*b + 0*b = -78. Let i = -27 - b. Suppose 5*x - 262 = -87. Calculate the remainder when x is divided by i.
11
Let c(q) = -3*q**3 - 2*q**2 - q. What is the remainder when 53 is divided by c(-2)?
17
Suppose -6*m = -91 + 19. Let n = -1 - 1. What is the remainder when 90/(n/(-1)) + 2 is divided by m?
11
Let u(p) = -17*p**3 - 2*p**2 - 2*p - 1. Let f be u(-1). Suppose 3*a = -a + f. Calculate the remainder when 7 is divided by a.
3
Suppose 2*q - 2 = 8. Suppose 0*a - a = q*m - 92, -3*a = -3*m + 48. What is the remainder when 3 + (-2)/(2/(-31)) is divided by m?
16
Let v = 49 + -27. What is the remainder when v is divided by 12?
10
Let q(f) = f**2 - 2*f + 3. Let r be q(3). Suppose 2*u = u + r. Suppose u*c - 36 = 3*c. What is the remainder when 22 is divided by c?
10
Suppose 0 = 4*d - 11 - 9, -2*c = -5*d + 1. Let n = 13 + -9. Suppose 5*i - n*i + 3*b = 7, 0 = 5*b. Calculate the remainder when c is divided by i.
5
Let p = 63 + -43. Suppose f - 3*o = 4, 0*f - f - 5*o = -p. Let z = -8 + f. Calculate the remainder when 4 is divided by z.
0
Let h be 36/(-3) - (-4 - -2). What is the remainder when 69 is divided by 11 - h - (2 - -1)?
15
Let o(w) = w**3 + 8*w**2 + 5*w + 2. Let p(t) = t**2 + 8*t + 4. Let i be p(-3). Let c = -18 - i. What is the remainder when 30 is divided by o(c)?
14
Suppose -2*k = 8 - 46. Calculate the remainder when 54 is divided by k.
16
Suppose 0 = 5*h - 4*i - 601, i - 127 = -3*h + 220. Calculate the remainder when h is divided by 10.
7
Let r(y) = -8*y. What is the remainder when r(-4) is divided by 11?
10
Let p(k) = k**2 - k - 2. Let s be p(2). Suppose 5*b - 51 = -4*m, -3*b = -s*b - 3*m - 36. Let u = 71 - 40. Calculate the remainder when u is divided by b.
9
Suppose 30 = 2*g - 22. Suppose 0 = -0*s + s - g. Calculate the remainder when s is divided by 9 - -1 - (-1 - -2).
8
Suppose -5*s + s - 4*g - 8 = 0, -2 = 2*g. What is the remainder when 55 is divided by (9 - 38)/(0 + s)?
26
Suppose 20*u - 25*u + 80 = 0. Suppose 4*m + 201 = 3*s, -s + 2*m - 18 + 87 = 0. Calculate the remainder when s is divided by u.
15
Let z(y) = 3*y + 34. Calculate the remainder when z(0) is divided by 9.
7
Suppose 4*k + 4 - 100 = 0. Let g be 1 - -3*6/9. Suppose 4*f - g*f - 13 = 0. What is the remainder when k is divided by f?
11
Let z = 238 + -195. Calculate the remainder when z is divided by 5.
3
Let v(m) = m**3 - 19*m**2 + m - 12. What is the remainder when 11 is divided by v(19)?
4
Suppose -2*q = y - 24, -y + q + 18 = -0*q. Let x be (-2)/(-5) - 4/10. Calculate the remainder when y is divided by 2 - -9 - 0 - x.
9
Suppose -2*f - c = -101, f + 54 = 2*f + 4*c. What is the remainder when f is divided by 7?
1
Let z be (-3 - -2)/(2/(-4)). Suppose z*v + 2*v + 28 = 0. Let f(g) = g**3 + 8*g**2 + 4*g - 9. Calculate the remainder when 35 is divided by f(v).
11
Suppose 15*o = 14*o + 53. Calculate the remainder when o is divided by 27.
26
Suppose -4*f + 17 = o, 9*o - 4*f - 181 = 4*o. Suppose -2*l + o = -19. Let u = -22 + 31. Calculate the remainder when l is divided by u.
8
Let d = 1 + 0. Let b = 10 - d. What is the remainder when 24 is divided by b?
6
Suppose -5*a + 527 - 12 = 0. What is the remainder when a is divided by 35?
33
Let p = -26 - -40. Suppose 5*x = 84 + 111. What is the remainder when x is divided by p?
11
Let a(p) be the second derivative of p**5/20 - p**4/2 - p**3 + 3*p**2/2 - p. What is the remainder when a(7) is divided by 6?
4
Let n(a) = -a**3 - a**2 + 2*a. Calculate the remainder when 21 is divided by n(-3).
9
Let q(f) = -f**3 + 12*f**2 + 2*f + 23. What is the remainder when 91 is divided by q(12)?
44
Let p(c) = -c**2 - 14*c + 10. What is the remainder when p(-6) is divided by 4?
2
Suppose 5*l - 2*y + y = 236, 0 = -3*l - y + 140. Calculate the remainder when l is divided by 0 - 0 - -6*2.
11
Suppose -5*x + 8*x = 111. Suppose -t = -x - 18. Let g(f) = 5*f**2 + 2*f - 2. What is the remainder when t is divided by g(-2)?
13
Let n be (6/5)/(9/30). Let h(o) = -o**3 + 9*o**2 - 5*o + 12. Let z be h(8). Suppose z + 4 = n*m. What is the remainder when 29 is divided by m?
9
Let a(p) = p**2 - 3*p - 8. Suppose 4*n = -0*n - 16. Let f be (84/(-49))/(n/14). Calculate the remainder when 18 is divided by a(f).
8
Suppose 30 = -4*a + 10. Let b = a - -8. Suppose 7*p - b*p = 24. What is the remainder when 10 is divided by p?
4
Suppose 15 = -3*x + 3*o, -5*x + 3*o - 15 = -x. Suppose -t + y + 16 = 0, 2*t = -x*t + y + 29. Calculate the remainder when t is divided by 7.
6
Let d(s) = s + 11. Let t be d(-9). Suppose 0*i + 20 = -t*i. Calculate the remainder when 25 is divided by ((-14)/10)/(2/i).
4
Let a(k) = 6*k**3 + 4*k + 56. Let f(n) = 5*n**3 + 3*n + 55. Let r(m) = -4*a(m) + 5*f(m). Calculate the remainder when r(0) is divided by 26.
25
Let r(y) = -2*y**2 + 8*y + 3. Let s be r(6). Let c = -11 - s. Suppose 5*t - 15 = 0, 3*b = 2*b - t + 7. Calculate the remainder when c is divided by b.
2
Suppose 4*y - 8 = 3*q + 13, -30 = -5*y + 5*q. Calculate the remainder when 8 is divided by y.
2
Let y(m) = 6*m**2 + 8. Let q be y(-6). Suppose 4*n = -x + 4*x + q, 2*n - 112 = 2*x. What is the remainder when n is divided by 19?
18
Let o = -8 - -17. What is the remainder when 35 is divided by o?
8
Let s(a) = 2*a**2 - 2. Suppose 0 = 3*b - 2*n - 13, -7 + 22 = -3*n. Let f be (-3 - 1) + 2*b. What is the remainder when s(f) is divided by 4?
2
Let g be (1*5)/(11/22). Suppose 1 = -3*y + g. Calculate the remainder when 6 is divided by y.
0
Let j(b) = -4*b**2 - b**2 + 6 - 2 + b**3 - b. What is the remainder when j(6) is divided by 18?
16
What is the remainder when 109 is divided by (-49)/(-3) - (-15)/(-45)?
13
Let b(d) = -d**2 + 2*d + 3. Let h be b(4). Calculate the remainder when (5 - 0)*(-46)/h is divided by 16.
14
Let b be 90/(-8) - 1/(-4). Let m(g) = -g - 5. What is the remainder when m(b) is divided by 4?
2
Let n = 0 - -3. Let j(z) = z**2 + 4*z + 6. Calculate the remainder when j(-5) is divided by n.
2
Suppose -2*x = 5*o + 3 + 3, 0 = 4*o. Let i(p) = -p**3 - 3*p**2 - p. Calculate the remainder when 5 is divided by i(x).
2
Suppose -5*i - 4*u + 49 = 0, 2*i - u - 24 - 6 = 0. Calculate the remainder when i is divided by 5.
3
Let x = -16 + 45. Calculate the remainder when 115 is divided by x.
28
Let i(w) = 4*w**2 + 9*w - 9. Calculate the remainder when 90 is divided by i(-5).
44
Let y = 92 - 25. Suppose 0 = 5*o - 0*o - 115. What is the remainder when y is divided by o?
21
Let d(z) = 7*z + 1. Let u be (3 - 4)*1 - -2. Let i be d(u). Suppose 5*a - i = 12. What is the remainder when 13 is divided by a?
1
Suppose -m = -i + 3*m + 41, -2*m = i - 23. Let d(b) = -b**2 - 20*b + 1. Calculate the remainder when d(-14) is divided by i.
27
Suppose 0 = -4*t - 2*p - 8 - 12, -t - 3*p = 0. Let k(v) = v**2 + 6*v + 5. What is the remainder when k(t) is divided by 3?
2
Let d be (-78)/2 - 4/2. Let b = d + 77. What is the remainder when b is divided by 19?
17
Suppose 6*u - 2*u - 80 = 0. Calculate the remainder when (-39)/2*(-4)/2 is divided by u.
19
Let h be (1 - 3)*(2 + -3). Calculate the remainder when 33 + -6 + 10 + 1 + -4 is divided by h/9 - (-106)/9.
10
Suppose 0 = -2*q + 6, 4*q + q - 53 = -2*j. Let y = 5 + j. Calculate the remainder when 70 is divided by y.
22
Let q be 28*(-1)/4*-18. Calculate the remainder when 1 + (3 - q/(-3)) is divided by 12.
10
Suppose 0 = -s + 8 + 26. Calculate the remainder when s is divided by 9.
7
Let i be 1422/12 + 1/(-2). Suppose 5*u - i - 214 = -4*d, 3*d - 249 = 4*u. Calculate the remainder when d is divided by 21.
20
Let z(n) = -3*n**3 + 3*n**2 + 2*n. Calculate the remainde