5*u - 17. Calculate the remainder when 8 is divided by t.
2
Suppose v - 3*u + 6 = u, 5*u - 12 = -v. Let t(c) = 2*c**2 - 1 + 1 - 4*c + 2. Calculate the remainder when 3 is divided by t(v).
1
Suppose 0*z + 59 = 5*u - z, -5*u - 5*z = -65. Calculate the remainder when 47 is divided by u.
11
Suppose 0 = 3*o - 5*o. Let n = 0 - o. Suppose n = -4*l + 39 + 1. What is the remainder when l is divided by 6?
4
Let u(h) = h + 11. Let k be u(-8). What is the remainder when (1/3)/(k/387) is divided by 11?
10
Suppose -3*t + 13 = 1. Let x(o) = o - 1 + 11*o**3 - 12*o**3 + 5*o**2 - 2*o. What is the remainder when x(4) is divided by t?
3
Suppose -3*x - 41 = -5*v + 34, -45 = -3*v + 4*x. Calculate the remainder when 28 is divided by v.
13
Let w(q) = -15*q + 16. Let p be w(-13). Let j = -150 + p. Calculate the remainder when j is divided by 32.
29
Let p(d) = d**3 - 7*d**2 + 3*d - 4. Let o be p(7). Let h = 29 - o. Calculate the remainder when h is divided by 7.
5
Let t(k) = -30*k - 72. What is the remainder when t(-5) is divided by 21?
15
Let n(d) = d**3 - 2*d**2 + 1. Let u(x) = -9*x. Let g = 5 - 7. What is the remainder when u(g) is divided by n(3)?
8
Calculate the remainder when 30/((30/9)/5) is divided by 16.
13
Let q be (-6)/(-39) + (-790)/65. Let g = q - -27. What is the remainder when g is divided by 4?
3
Suppose 4*q + 2 = -j - 4*j, 0 = -4*q - j + 6. Suppose -5 = -k + 7. Let i = k - q. Calculate the remainder when 29 is divided by i.
9
Suppose 4*a + 19 = -4*b + 163, 3*b + 5*a - 106 = 0. Calculate the remainder when b is divided by 13.
11
Let k(g) = -g**3 - g**2 + g. Let w be k(-2). Suppose -4*p = 4*f - 2*p - 20, -5*f = w*p - 24. What is the remainder when 13 is divided by f?
1
Suppose 3*t - 8 = 1. Let g(v) = v**3 - v**2 - v + 1. Let c(w) = -21*w. Calculate the remainder when c(-3) is divided by g(t).
15
Suppose 4*c + 0 - 8 = 0. Let z = 1 + c. Calculate the remainder when (5/4)/(5/20) is divided by z.
2
Suppose -4*x - 3*f = -74, 61 = 3*x + 8*f - 3*f. Let u = 42 - 10. What is the remainder when u is divided by x?
15
Let o(r) = -2*r**3 - 2*r**2 - r - 1. Let l be o(-2). Let m(w) = 9 - l + 3*w. Calculate the remainder when 27 is divided by m(5).
12
Let k(z) = -z + 43. Let b be 2/(-5) + 9/(-15). Calculate the remainder when k(23) is divided by (-1)/(b/(-7)*-1).
6
What is the remainder when 67 is divided by (-15)/(-3) - (-7 - -7)?
2
Let y(l) = l**3 - 6*l**2 + 2*l + 1. Suppose 0 = -2*a + 3*h - 6*h + 59, -h + 1 = 0. Suppose -q - 3*q + a = 0. Calculate the remainder when y(6) is divided by q.
6
Let j = -31 - -71. Let p = 4 - 6. What is the remainder when j is divided by (-6)/9*-24 + p?
12
Let t(f) = 16*f + 2. Let p be t(2). Let a = -7 + p. What is the remainder when 78 is divided by a?
24
Let o(r) = 4*r**3 - r**2 + 3*r - 1. What is the remainder when o(2) is divided by 10?
3
Let g(k) = -k + 2. Suppose 5*p - 7 - 123 = 0. What is the remainder when p is divided by g(-7)?
8
Suppose 28 = n - 7. Let j = 20 - 45. Let g = -13 - j. What is the remainder when n is divided by g?
11
Suppose -3*k + 64 = 22. What is the remainder when 42 is divided by 2*(k/4 + 2)?
9
Let t = 57 - 53. Calculate the remainder when 9 is divided by t.
1
Suppose -83 = 3*o - 23. Calculate the remainder when 44 is divided by 4/o - 122/(-10).
8
Suppose -3*z = -2 - 1. What is the remainder when 47 is divided by (-63)/(-4) - z/(-4)?
15
Let s = 63 - 37. Let q(u) = u**2 - 1. Let f be q(-1). Let l = 14 - f. Calculate the remainder when s is divided by l.
12
Suppose 22 = 5*q - 2*o - 9, -5*q + 5*o + 25 = 0. Calculate the remainder when 47 is divided by q.
5
Suppose -295 - 27 = -2*y. Calculate the remainder when y is divided by 41.
38
Let p be 25/10*(-12)/(-10). Suppose -27 = 5*m - m - h, -m + 7 = -p*h. Let j = m + 23. Calculate the remainder when j is divided by 8.
7
Let b(y) = 37*y**3 - 3*y**2 + y + 2. Let s(l) = l**3 + 5*l**2 - 7*l + 2. Calculate the remainder when b(1) is divided by s(-6).
5
Let i = 25 + -13. Suppose 3*m + 2*m - 12 = d, 2*d = 4*m - i. Suppose c = 7 - 2. What is the remainder when c is divided by m?
1
Suppose -2*k + 20 = -0*k. Let y(h) = h**3 + 7*h**2 + 3*h + 4. What is the remainder when y(-5) is divided by k?
9
Let g(r) = -r**3 + 9*r**2 - 4*r + 8. Let p be g(8). Calculate the remainder when 29 is divided by p/14*(-7)/(-2).
9
Suppose -3*x = 2*x. Calculate the remainder when (-3)/(-2 + (-10)/(-8)) is divided by (2 - 0) + 1 - x.
1
Let z = -17 + 19. Suppose z*l + 4 = 22. Calculate the remainder when 33 is divided by l.
6
Let v = -6 + 29. Suppose 2 = 2*k, -z - 5*k + 2*k = -9. What is the remainder when v is divided by z?
5
Let t(s) = 3*s**2 - 2*s**2 + 6*s - 3*s + 4. Let g be t(-3). Suppose 5*h - 2*u - 27 = g*h, 2*u = 4*h - 138. Calculate the remainder when h is divided by 13.
11
Calculate the remainder when 22 is divided by 4 + 2 + 1*(-3 - -1).
2
Let x be ((-6)/4)/((-45)/120). Suppose -2*q + x*q - 4 = 0. Suppose -6*y = -3*y - 3. What is the remainder when q is divided by y?
0
Suppose 3*h - 26 - 139 = 0. What is the remainder when h is divided by 14?
13
Let i(y) be the first derivative of y**2/2 - 2. Let q be i(5). Suppose -5*b + 10 = -q. What is the remainder when 8 is divided by b?
2
Let i = 6 + 3. What is the remainder when 26 is divided by i?
8
Let x(j) = -5*j**3 + j**2 + j + 1. Calculate the remainder when x(-1) is divided by 4.
2
Suppose 388 - 148 = 5*s. Suppose 2*m = -2*m + s. Let c(w) = w. What is the remainder when m is divided by c(7)?
5
Suppose -3*a + a = -10. Suppose a*j - 2*j - 5*f = 40, -4*f = 20. What is the remainder when 13 is divided by j?
3
Suppose 5*a - 12 - 13 = 0. Suppose 3*h - 6 = f, 4*f + 3 = -h + a. Suppose 0 = o - f - 1. What is the remainder when o is divided by 1?
0
Suppose -13 - 11 = -3*q. What is the remainder when 43 is divided by (0 - -13) + 16/q?
13
Let a = 54 + -27. Calculate the remainder when 132 is divided by a.
24
Suppose 2*b = 4*w - 106, -4*w + 4*b + 43 + 69 = 0. Suppose 2*o = -3*o + w. What is the remainder when 13 is divided by o?
3
Let v = 0 + 11. Suppose 2*n + 8 = 4*n. Suppose 30 = n*j + 6. Calculate the remainder when v is divided by j.
5
Let h(x) = 8*x**3 - x**2 + x. Let l be h(2). Let o = l + -44. Let f = -60 + 95. Calculate the remainder when f is divided by o.
17
Suppose h - 3*h - 4*x + 28 = 0, 0 = 3*h + 4*x - 46. Let n = -29 + 82. Calculate the remainder when n is divided by h.
17
Suppose -5*i = 17 - 2. Let l = 19 + -13. What is the remainder when 20 - (0 + -5 - i) is divided by l?
4
Let r(d) = 2*d - 14. Calculate the remainder when 3 - 43*2/(-2) is divided by r(13).
10
Let d(k) = 23*k - 4. Let w be d(-2). Let i = 11 - w. What is the remainder when i is divided by 16?
13
Let r = 46 - 15. What is the remainder when r is divided by 8?
7
Suppose 151 = 4*f - 69. Calculate the remainder when f is divided by 29.
26
Let b be (1/(-4))/(3/(-60)). Suppose 0*k - v + 112 = b*k, -5*k = -3*v - 124. What is the remainder when 67 is divided by k?
21
Let k(v) = -v + 1. Suppose -5*j - 22 = -j - 5*b, 5*j + 5 = -5*b. Let a be ((-8)/(-6))/(1/j). Calculate the remainder when 19 is divided by k(a).
4
Suppose 0 = -2*h - 7 + 39. Calculate the remainder when 25 is divided by (-2)/((h/18)/(-4)).
7
Suppose -3*i + 223 = 4*c, -4*c + 4*i + 213 = 5*i. Calculate the remainder when c is divided by 11.
8
Suppose 4 = -3*a + a. Suppose 3*x + 5*r - 4 = 0, x + 4*x + 2*r = 32. Calculate the remainder when (30/4)/((-1)/a) is divided by x.
7
Let u = -13 + 13. Let p(l) = -l**3 - l**2 - l + 43. Calculate the remainder when p(u) is divided by 23.
20
Suppose 0 = z - g + 6*g - 39, 5*z + g - 123 = 0. What is the remainder when (-3)/3 + (z - -1) is divided by 9?
6
Suppose 2*o = -3*m - 35, 0*o - 3*o + 3*m - 60 = 0. Let w = -3 - o. Calculate the remainder when w is divided by 6.
4
Let a(t) = 3*t - 38. Let v(o) = -4*o + 57. Let f(q) = -8*a(q) - 5*v(q). Calculate the remainder when f(-9) is divided by 14.
13
Calculate the remainder when 46 is divided by 2/(0 + 2) - -15.
14
Suppose -5 + 2 = -q. Let l = q + -1. Calculate the remainder when 52 is divided by 18 + (0 - l) + 2.
16
Let g = -5 - -9. Suppose 3*o - 72 - 73 = -2*n, -3*n = -g*o + 165. Calculate the remainder when o is divided by 23.
22
Let i(v) = 2*v - 29. What is the remainder when i(20) is divided by 7?
4
Suppose 0 = -5*k + 2*p + 543 + 428, 5*k