 5. Suppose 0*x + 60 = 4*x. Calculate the remainder when c is divided by x.
13
Let t(f) = -f**3 - 6*f**2 + 11*f + 7. Let v be t(-8). Suppose 2*d = -u + 4*d + 19, -5*u + v = 2*d. Calculate the remainder when 42 is divided by u.
9
Let l(k) be the second derivative of k**5/20 + k**4/2 + 7*k**2/2 + 5*k. What is the remainder when l(-5) is divided by 7?
4
Let h(f) be the first derivative of f**3/3 - 9*f**2/2 - 13*f - 1. Calculate the remainder when h(11) is divided by 4.
1
Suppose -c = c - 4. Let x(o) = -18*o - c*o + 3 - 4. Calculate the remainder when x(-2) is divided by 14.
11
Suppose 2*i + 5*m = -5 + 14, 0 = 4*m - 4. Suppose 2*g + 16 = -i*g, -3*t - g = -65. Calculate the remainder when t is divided by 8.
7
Let h be (3/(-6))/((-4)/(-640)). What is the remainder when 46 is divided by ((-8)/10)/(4/h)?
14
Let c(t) = -2*t**3 - 5*t**2 - 3*t - 2. Let p be c(-3). Suppose 3*q - 55 = -p. Let z(j) = 6*j**2 - j. Calculate the remainder when q is divided by z(-1).
6
Suppose 0 = -x + 2*x - 23. Calculate the remainder when x is divided by 13.
10
Let x(g) = -g**3 + 7*g**2 - 8. Let h(t) = 3*t**3 - 14*t**2 - t + 17. Let w(k) = 2*h(k) + 5*x(k). Calculate the remainder when 15 is divided by w(-7).
7
Calculate the remainder when (6 + -3 - -46) + 4 is divided by 18.
17
Let g(a) = 30*a - 1. Calculate the remainder when g(7) is divided by 54.
47
Let r be 6 - 0/(6/(-2)). Let a = 14 - r. What is the remainder when 30 is divided by a?
6
Let c = 2 - -2. Suppose -3*b = -4*v - 83, 0 = -c*b + 7*b + 5*v - 38. Let q = b + -2. Calculate the remainder when q is divided by 7.
5
Suppose -3*v + 3 = -4*t, 0 = 2*v + 3*t - 0*t - 19. What is the remainder when 61 is divided by 66/4 + v/(-10)?
13
Let m = -43 - -63. Suppose 5*o - m = 4*o. Calculate the remainder when 58 is divided by o.
18
Let n = -69 + 78. What is the remainder when 44 is divided by n?
8
Let m(a) = -a**3 - 5*a**2 - 4*a + 9. Calculate the remainder when m(-5) is divided by 20.
9
Let u = -2 - -22. Suppose -2*i - 4*x = -38, i + i = 5*x + 2. Calculate the remainder when u is divided by i.
9
Let r(x) = 4*x + 5. What is the remainder when 129 is divided by r(7)?
30
Suppose p = 3*x - 10, -2*p + 2*x - 8 = -x. Let j(c) = -c - 4. Calculate the remainder when j(-6) is divided by p.
0
Let h be (0/(-3))/((-3)/3). Suppose -5*i + 185 = -h*i. Calculate the remainder when i is divided by 10.
7
Suppose 2*d = -3*n + 28, -2*n - 5*d - 15 = -3*n. What is the remainder when 18 is divided by n?
8
Suppose 0 = -7*o + 2*o + 325. Let h(y) = y**2 - 8*y - 3. Let r be h(5). Let c = o + r. Calculate the remainder when c is divided by 16.
15
Suppose 168 = 3*z - 7*z. What is the remainder when (-12)/z + (-166)/(-7) is divided by 13?
11
Let v = 30 - 17. Calculate the remainder when 49 is divided by v.
10
Let d = -30 - -18. Let l be 20/9 + d/54. Suppose g = -2*n + 1, g + 4*n - 9 = -l*g. Calculate the remainder when 20 is divided by g.
6
Suppose 2*m = 8, 2*h + h - 3*m = -6. Suppose h*f - 3*f = 3. Let b(x) = x**3 + 3*x**2 - 4*x - 4. Calculate the remainder when 15 is divided by b(f).
7
Let h(j) = 10*j**2 + 5*j - 6. Calculate the remainder when h(2) is divided by 9.
8
Suppose r = -0*r + 3. Suppose 3*a = -0*t - t - 7, -5*a - 9 = r*t. Suppose 4*k = -0*k + 20. Calculate the remainder when k is divided by t.
1
Suppose 3*f + 2*l = 37, 0 = 3*f + 3*l - 23 - 13. Let z = -18 + 29. Let b = -4 + z. What is the remainder when f is divided by b?
6
Let k = 18 - 10. Suppose -2*a + k = 0, 10 = -2*v + 5*a - 4. Calculate the remainder when v is divided by 3.
0
Suppose 37 = 2*t + 5*h, 4*t = 3*t + 3*h - 9. Let p = -28 - -51. Calculate the remainder when p is divided by t.
5
Let t be (4/(-6))/(2/12). Let s = 82 - 71. Let m = s + t. Calculate the remainder when 20 is divided by m.
6
Let v(z) = -2*z + 3. Let y be (4 - 13) + 6/2. Calculate the remainder when 43 is divided by v(y).
13
Let g = 23 - 32. Let y = 44 - g. Calculate the remainder when y is divided by 28.
25
Suppose -4*p + 3 = -3*p. Suppose -12 = -p*s, -i + 5*s - 10 - 2 = 0. Let z = -3 + i. What is the remainder when 13 is divided by z?
3
Let g(b) = 19*b - 2. Let r be g(-1). Let w = r + 29. Calculate the remainder when (-46)/(-6)*(0 - -3) is divided by w.
7
Let q = -10 - -27. Calculate the remainder when q is divided by 5.
2
Let x(m) = -29*m - 2. What is the remainder when x(-3) is divided by 29?
27
Suppose 3*s = -2*s. Suppose s = 3*u - u - 52. Suppose 64 = x + 3*f + u, -2*x + 56 = 2*f. Calculate the remainder when x is divided by 8.
7
Let i(d) = 2*d**3 - 4*d**2 + 3*d - 1. Suppose 3*r + 2 = 5*c + 51, 2*c = -3*r + 56. Calculate the remainder when r is divided by i(2).
3
Let w be 6/(-15) - 56/10. Calculate the remainder when (2 - -2)*w/(-8) is divided by 2.
1
Suppose -n - 3*l = -15 + 1, 2*n - 3*l - 37 = 0. Let t = -14 + 46. What is the remainder when t is divided by n?
15
Let h be (0 - 1)*(-20)/5. Suppose -23 - 189 = -h*r - 4*g, 0 = r + 4*g - 47. Suppose -a - 4*a = -r. Calculate the remainder when 32 is divided by a.
10
Let s = -9 - -20. Suppose -u + 4 = 0, x - 6*x + 2 = -2*u. What is the remainder when x/8 + 166/8 is divided by s?
10
Let c = 95 - 94. Calculate the remainder when 6/(-9) - (-16)/6 is divided by c.
0
Let t = 2 + -7. Let q(c) = -2*c. Calculate the remainder when q(t) is divided by 7.
3
Suppose 0*t - 5*t = m - 53, t = 5*m - 5. What is the remainder when 38 is divided by t?
8
Let w = -4 - -18. Let c = w - 8. What is the remainder when c is divided by (6*-1)/((-15)/10)?
2
Let u(j) = -j - 3. Let z be u(-6). Let c(o) = 9 + o**3 + 0*o**3 - 9*o**2 - 8*o - 2*o**z + 0*o**2. Calculate the remainder when c(-8) is divided by 5.
4
Suppose 4*k = i + 154, 0 = -k - 3*k - 5*i + 142. Calculate the remainder when k is divided by 11.
5
What is the remainder when (-2)/(-10)*2*140 is divided by (-6)/4*418/(-33)?
18
Let j = 103 - 72. Suppose 0*r - j = -2*r - d, d + 20 = r. What is the remainder when 10/(-20) - 198/(-4) is divided by r?
15
Let g = -7 - -21. Calculate the remainder when 67 is divided by g.
11
Let b(s) = s**3 - 9*s**2 - 8*s - 4. Let a be b(10). Calculate the remainder when 3 is divided by (3/2)/(12/a).
1
Let j = -43 + 56. What is the remainder when 24 is divided by j?
11
Let b = 6 - 1. Suppose -2*k + 51 = -y, 0 = -k + 6*k + b*y - 90. Let p(h) = 12*h - 5. What is the remainder when p(6) is divided by k?
21
Let u = 1 - 1. Suppose -2*w - 2 = -u. What is the remainder when 7/3 - w/(-3) is divided by 2?
0
Let l = -17 - -35. Calculate the remainder when 52 is divided by l.
16
Suppose -32*f + 31*f + 11 = 0. What is the remainder when 42 is divided by f?
9
Let s(m) be the second derivative of m**3/6 + 3*m**2 + 3*m. Let a be s(-6). Suppose 0 = -a*z + 4*z - 48. What is the remainder when 22 is divided by z?
10
Suppose -2*c = -3*c + 26. Calculate the remainder when 77 is divided by c.
25
Suppose 0 = 2*o - 3*o + 5*p - 8, 0 = 5*o - 4*p + 19. Let f(a) = -9*a. Let t = 150 + -136. Calculate the remainder when f(o) is divided by t.
13
Suppose -4*x + 4*l + 520 = 0, l + 382 = -x + 4*x. What is the remainder when x is divided by 32?
30
Suppose 5*o = 4*c - 233, -3*c + 94 + 82 = -4*o. Calculate the remainder when c is divided by 9.
7
Suppose -6*y + 567 = 3*y. Calculate the remainder when y is divided by 13.
11
Let d(k) = 2*k - 10. What is the remainder when d(6) is divided by 2?
0
Let c = 10 + 20. Calculate the remainder when c is divided by 11.
8
Let u(l) = 3*l - 13. What is the remainder when 38 is divided by u(9)?
10
What is the remainder when 1/5 + ((-188)/(-5))/2 is divided by 9?
1
Let z = -46 + 105. Suppose -3*g + 2*f = -2*f - 177, g + f - z = 0. Calculate the remainder when g is divided by 20.
19
Let s(f) = 6*f + 102. Calculate the remainder when s(0) is divided by 26.
24
Let g(i) = -i**3 - 7*i**2 - i + 2. Suppose -5*z - 14 = 21. Calculate the remainder when g(z) is divided by ((-3)/(-6))/((-4)/(-40)).
4
What is the remainder when -4*4/(-8)*57/3 is divided by 20?
18
Suppose -11*r = -17*r + 42. Suppose -3*i - y = 2*y - 51, -3*i + 2*y + 31 = 0. Calculate the remainder when i is divided by r.
6
Let j(x) = -x**3 - 14*x**2 + 15*x + 4. Let v be j(-15). Suppose -v*m = -i - 68, -m + i + 21 = 4. What is the remainder when 67 is divided by m?
16
Suppose 2 = -j, 2*j = 5*l - 2*j - 23. Let h be 10/4 + (-1)/2. Suppose 3*o = -3*x + 21, -2*x = h*