 = -z**3 - 4*z**2 - 5*z - 2. What is the remainder when 5 is divided by i(-3)?
1
Let q(u) = -4*u**3 - 7*u**2 - 6*u - 4. Calculate the remainder when q(-4) is divided by 15.
14
Let x(h) = 31*h**2 + 3*h + 2. Let u be x(-1). Let b = u + -19. What is the remainder when 31 is divided by b?
9
Suppose 0 = -3*n + 3*z + 108, 2*n - 5*z - 36 = 21. Let y = 21 + -10. Calculate the remainder when n is divided by y.
8
Suppose -2*a + 5*i + 1 = 0, a + 0*i - 5*i + 7 = 0. Calculate the remainder when 22 is divided by a.
6
Let c(f) = -47*f + 7. Let p be c(5). What is the remainder when 10 is divided by 2/(-9) - p/54?
2
Let v = 14 + -10. Calculate the remainder when 5 is divided by v.
1
Let r be (-15)/(-6) - (-1)/(-2). Let t = r - -1. Calculate the remainder when 1 + -4*(-12)/16 is divided by t.
1
Suppose -3*a + 16 = a. What is the remainder when (-1 - -9) + 0 + 3 is divided by a?
3
Let t(g) = 13*g**2 - 5*g - 3. Let a(h) = -20*h**2 + 8*h + 4. Let w(x) = 5*a(x) + 8*t(x). What is the remainder when w(3) is divided by 17?
15
Suppose 0 = 44*o - 39*o - 30. What is the remainder when ((-22)/4)/(1/(-2)) is divided by o?
5
Let v be (135/(-36))/(3/8). Let p(m) = m**3 + 11*m**2 + 7*m - 4. What is the remainder when p(v) is divided by 14?
12
Let c = 4 - 3. What is the remainder when c/(-2 - -1)*-5 is divided by 2?
1
Suppose 4*r = 27 - 23. What is the remainder when 5/(0 + r/5) is divided by 14?
11
Let n = 34 - 13. What is the remainder when 60 is divided by n?
18
Let i(m) = -2*m + 5. What is the remainder when i(-6) is divided by 5?
2
Let t = -62 + 86. What is the remainder when 91 is divided by t?
19
Suppose -h + 6 = 2*h. Calculate the remainder when 8 is divided by h.
0
Let y(l) = 6*l + 7. Calculate the remainder when y(8) is divided by 14.
13
Suppose -4*u + 8 + 24 = 0. What is the remainder when 16 is divided by u?
0
Let x(y) = -2*y - 4. Let z be x(6). Let b = -6 - z. What is the remainder when 18 is divided by b?
8
Suppose 4*y + 9 = 73. Let t(q) be the first derivative of 5*q**2 - 15*q + 4. Calculate the remainder when t(6) is divided by y.
13
Let s(a) = -3*a**3 - 8*a**2 + 5*a - 6. Calculate the remainder when s(-5) is divided by 21.
18
What is the remainder when (1 - 3) + (-160)/(-4) is divided by 13?
12
Let s(j) = -j**3 + 5*j**2 - 6*j + 1. Let v be s(4). Let i = 12 + v. What is the remainder when 9 is divided by i?
4
Let l = 46 - 44. Suppose 10 = 5*f - 4*u, -u - 29 = -4*f - 2*u. Suppose -q - 20 = -f*q. What is the remainder when q is divided by l?
0
Let x(r) = 5*r**2 - 7*r**2 + 2*r**3 + 1 + 2*r - r**3. Suppose 0 = 2*y - 9 - 3. What is the remainder when x(3) is divided by y?
4
Suppose 4*v + u - 12 = -u, 5*u = 3*v - 35. Suppose 0 = -3*o + 3*t - t + 5, -o = v*t - 13. Suppose -o*j + 95 = 2*j. What is the remainder when j is divided by 7?
5
Calculate the remainder when (-490)/(-12) + (0 + 3)/18 is divided by 21.
20
Suppose 5*g = 92 + 143. Suppose -2*i - 1 = -g. Calculate the remainder when 44 is divided by i.
21
Let n(b) = b**2 + 6*b + 8. Suppose 8 + 6 = -2*d. What is the remainder when -1 - -44 - (3 + -3) is divided by n(d)?
13
Suppose 0 = -5*b - 4*v + 5*v + 107, 4*v = 3*b - 71. Calculate the remainder when b is divided by 12.
9
Let t(x) = x**2 + 2*x + 6. What is the remainder when t(4) is divided by 8?
6
Let c = 31 - 2. What is the remainder when 173 is divided by c?
28
What is the remainder when -2 + (-3 + 2)*-41 is divided by ((-80)/(-12) - 2)/((-2)/(-6))?
11
Suppose 2*t = -l + 15, -3*l + 5*l = 2*t. Suppose -l*y - 185 = -3*z, -3*z - 3*y = y - 203. Calculate the remainder when z is divided by 22.
21
Let n(p) = 12*p + 2. What is the remainder when 39 is divided by n(1)?
11
Let u be (-6)/2 + (-2877)/(-7). Suppose 0 = 5*b - 57 - u. What is the remainder when b is divided by 24?
21
Let t = -11 + 27. Calculate the remainder when t is divided by 6.
4
Let z(a) = 21*a**2. Calculate the remainder when z(1) is divided by 6.
3
Suppose 5*i = 2*i + 1218. What is the remainder when i is divided by 37?
36
Suppose 2*t + 5*n - 19 - 5 = 0, 0 = t - n - 12. Let a(c) = -c**2 + 12*c + 15. Calculate the remainder when a(t) is divided by 6.
3
Calculate the remainder when (-32 + (7 - 4))/(-1) is divided by 15.
14
Let x(y) = -35*y + 4. Calculate the remainder when x(-2) is divided by 19.
17
Let k be 2 + 12/(8/4). Suppose 0 = 3*f - k*f + 100. Calculate the remainder when 36 is divided by f.
16
Let u = -167 + 237. Let n = 30 - 6. What is the remainder when u is divided by n?
22
What is the remainder when (-3 - -74 - 2)*1 is divided by 21?
6
Suppose 2*z = -2*p + 8, -5*p + p = 3*z - 21. Calculate the remainder when 12 is divided by p.
3
Suppose s = 5*s - 48. What is the remainder when -2 - 212/(-6) - (-1)/(-3) is divided by s?
9
Let b = 171 + -85. Suppose -4*g - 5*w + 143 = 27, g - 2*w = 29. Calculate the remainder when b is divided by g.
28
Let f = 3 + 0. Suppose f*l + 5*w - 5 = 0, -2*l + 18 = 2*l + w. Let b(r) = -r**3 - 3*r**2 - r. Calculate the remainder when l is divided by b(-3).
2
Let c = -2 - -4. Suppose 2*j - 85 = -5*v, -c*j = -v - 3*v + 86. Calculate the remainder when v is divided by (0 + -1)/(3/(-21)).
5
Let k(n) = -n**2 - 5*n - 1. Let b = -3 + 4. Calculate the remainder when 14/((-2 - -3)*b) is divided by k(-3).
4
Let b(k) = -k**2 + 4*k + 6. What is the remainder when 8 is divided by b(4)?
2
Suppose 5*l = -2*r + 70, -3*l - 2*r - 20 = -58. Calculate the remainder when l is divided by (2/(-3))/(4/(-54)).
7
Suppose 0 = 5*z + 4 - 14. Suppose 4*g - z*g = 20. Let k = -4 - -23. Calculate the remainder when k is divided by g.
9
Let t = -53 - -82. Let h(r) = 0*r + r + 2*r + 3 - 4*r. Calculate the remainder when t is divided by h(-7).
9
Suppose 0 = b + 4*p + 2 - 14, 3*p = 3. Suppose -m + 5*m - 88 = 0. Calculate the remainder when m is divided by b.
6
Let r(x) = x**2 + 5*x - 3. Let s be r(-4). Let n(k) = k**2 + 3*k - 6. Calculate the remainder when n(s) is divided by 8.
6
Calculate the remainder when -5 - 60/(-3) - 0/(-2) is divided by 6.
3
Let c(n) = n**2 - n - 1. Let q(i) = 5*i**3 - 4*i**2 + 3*i + 1. Let h(b) = -2*c(b) - q(b). What is the remainder when h(-2) is divided by 13?
12
Suppose -25 = -4*u - p + 22, 0 = u + 3*p - 20. What is the remainder when 31 is divided by u?
9
Let g(q) = q**2 - q - 4. Suppose 2*z + 1 = -3*w + 4*z, -z = w - 3. Calculate the remainder when g(3) is divided by w.
0
Suppose -5*o + 0*o = -15. Let v(q) = q**2 + q + 7. What is the remainder when v(0) is divided by o?
1
Let s be 144/14 - (-2)/(-7). Suppose 2*i = -s + 80. What is the remainder when i is divided by 12?
11
Suppose 5*n = 27 - 7. Suppose 55 = n*u - 5. Suppose 1 = -3*f + 13. What is the remainder when u is divided by f?
3
Calculate the remainder when ((-1)/2)/(5/(-60)) is divided by 2.
0
Let p(i) = -i**3 - 16*i**2 - 19*i - 2. Calculate the remainder when p(-15) is divided by 12.
10
Let l(o) = -o**3 + 3*o**2 + 10*o - 4. Suppose 4*s - 2*v - 28 = 2*v, -3*v - 25 = -4*s. Calculate the remainder when 37 is divided by l(s).
17
Suppose -35 = 4*y - 215. Calculate the remainder when y is divided by 24.
21
Let h = -117 - -166. Calculate the remainder when h is divided by 17.
15
Let p(g) be the first derivative of -g**4/4 + 7*g**3/3 + 5*g**2 + 9*g - 2. What is the remainder when p(8) is divided by 9?
7
Suppose 0 = 3*r - 5*n - 55, 0*n + 4 = 4*n. Suppose -c - r = -5*c. Suppose -2*g = -4*m + 22, -c*g - 12 = 13. Calculate the remainder when 4 is divided by m.
1
Let s be (-5)/(75/42)*-10. Suppose -50 = i + s. What is the remainder when 25 is divided by i/(-4)*(-4)/(-6)?
12
Let j(r) = 10*r**3 - r - 1. Suppose -2*c - 78 = -5*c. Calculate the remainder when j(2) is divided by c.
25
Let d(n) = -n**2 + 11*n - 8. What is the remainder when 57 is divided by d(9)?
7
Suppose 2*r - r = 3*i - 6, -8 = r - 4*i. Suppose 5*j - 2*j - 63 = r. Let x = 25 - 14. Calculate the remainder when j is divided by x.
10
Suppose 4*c + 3*x = 33, 10*c - 5*c = -3*x + 39. What is the remainder when c is divided by 6?
0
Let i be (-4)/10 + 1014/10. Suppose 3*q + 29 = -3*d + i, 0 = -d - 5*q + 32. Calculate the remainder when d is divided by 8.
6
Suppose -s - i = 3*s - 25, s + 2*i - 8 = 0. Suppose -23 = -5*j - w, 5*w = 8 + 7. What is the remainder when s is divided by j?
2
Suppose -2*g = -i - 0*g + 7, 3*g = -3*i + 12. Calculate the remainder when (190/(-15) + 4)