ided by 4.
1
Let t be ((-2)/(-3))/((-6)/(-27)). Suppose -20 = -4*k, t*k + k - 32 = -2*z. Calculate the remainder when 17 is divided by z.
5
Let s(d) = d**3 - 3*d**2 - 3*d. Let l be s(4). Suppose 0 - l = -u. Let n = u - 2. What is the remainder when 4 is divided by n?
0
Suppose 72 = 3*a - a. What is the remainder when 69 is divided by a?
33
Let g(v) = v - 8. What is the remainder when 16 is divided by g(14)?
4
Let f be ((-6)/(-9))/((-2)/(-9)). Suppose f*y - 5 = 4*h - 4, -2*y = 2*h + 18. Let c(s) = -s**3 - 5*s**2 + 4. What is the remainder when 6 is divided by c(y)?
2
Let c(h) = 2*h**2 - 5*h. Let z(b) = 2*b**2 - 24*b + 11. Calculate the remainder when c(6) is divided by z(12).
9
Suppose 0 = 3*o + 5*o - 72. Calculate the remainder when o is divided by 7.
2
Let j(z) = z**3 - z**2 - 13. Let y be j(0). Let x = y - -34. Let b = x + -9. What is the remainder when 22 is divided by b?
10
Suppose -3*t + 69 = -30. What is the remainder when 128 is divided by t?
29
Let d = -16 + 20. Calculate the remainder when d is divided by 2.
0
Suppose 0 = -k - 3, 4*p = -3*k - 21 + 104. What is the remainder when p is divided by 6?
5
Let s = 12 - 3. Suppose -5 = -a, q + s = 3*a - 4. What is the remainder when q is divided by 25/5*4/10?
0
Let r(o) = -o**2 + 3*o + 4. Let m be r(5). Suppose -2*n + i = -30, -5*n - 2*i = -3*n - 30. What is the remainder when (-16)/(-10) - m/n is divided by 2?
0
Let q(l) = -l**3 + 10*l**2 - 3*l + 11. Let r be q(9). Suppose -4*s = -s - 111. Let t = r - s. What is the remainder when t is divided by 15?
13
Let w(h) = 40*h**3 - h**2 - h - 1. Let g be w(-1). Let y = -19 - g. Calculate the remainder when y is divided by 8.
6
Calculate the remainder when 42 is divided by (2/(-6))/((-8)/408).
8
Suppose m - 3*m = -5*j + 68, 0 = -j + m + 13. What is the remainder when 39 is divided by j?
11
Suppose 2*f = 2*d - 22, -5*f + 0 = 5*d + 5. Let x = -5 - f. Suppose r = 1 + x. Calculate the remainder when 4 is divided by r.
0
Let g(z) = z**3 + z**2 + z + 23. Calculate the remainder when g(0) is divided by 4.
3
Suppose -2*j = -3 - 1. Suppose 24 = x + 5*m + 3, -m = -j*x + 64. Let n = x + -15. Calculate the remainder when 30 is divided by n.
14
Calculate the remainder when (-7074)/135*(-10)/4 is divided by 19.
17
Let f(m) = m - 1. Let l be f(-2). Calculate the remainder when (l/(-4))/(5/60) is divided by 5.
4
Let l = -194 - -339. Suppose 0 = -4*x - x + l. Let p(s) = s**2 + 5*s - 9. Calculate the remainder when x is divided by p(-8).
14
Suppose -5*s + 4*x + 160 = 0, s - x + 23 = 2*s. What is the remainder when s is divided by 8?
4
Let p = 16 + -11. Suppose -u + p*u - 32 = 0. What is the remainder when u is divided by 3?
2
Suppose -3*y + 9 = -291. Suppose 8*k - 3*k - y = 0. What is the remainder when 79 is divided by k?
19
Let t(x) = x**3 + 7*x**2 - x + 10. Calculate the remainder when 82 is divided by t(-7).
14
Let y = 229 - 227. Let k(t) = t**2 - 4*t - 1. Let a be k(5). What is the remainder when (-6)/a*(-4)/3 is divided by y?
0
Suppose 4*u = -2*s + 60, -s = 5*u - 24 + 3. What is the remainder when s/8*(-22)/(-3) is divided by 9?
6
Let o(d) = 5*d**2 + 7*d + 11. Let i be o(6). Suppose r + 3*m + 109 = 3*r, -4*r = -3*m - i. Calculate the remainder when r is divided by 21.
20
Let s(d) = d**3 - d**2 + 6*d - 8. What is the remainder when s(5) is divided by 25?
22
Suppose 2*y - 8 = 0, -3*c - 124 = c - 3*y. Let z = -24 - c. Calculate the remainder when 9 is divided by z.
1
Let t = -128 - -155. What is the remainder when 69 is divided by t?
15
Let p(k) = 2*k - 2. What is the remainder when 16 is divided by p(4)?
4
Suppose 0 = -4*u + 2*h + 114, -5*h + 9 = u - 14. What is the remainder when u is divided by 0 - (-4)/(-2) - -17?
13
Let k = -5 + 15. Suppose -w = -k + 1. What is the remainder when 33 is divided by w?
6
Let v = -10 - -18. Calculate the remainder when 30 is divided by v.
6
Let n = 19 + 8. What is the remainder when n is divided by 12?
3
Suppose 3*v - 9 = -t, 3*t - 37 = 3*v + 14. Suppose -2*n + 7*n - 870 = 0. What is the remainder when n/4 + 2/4 is divided by t?
14
Let m(q) = -q**3 - 6*q**2 - 2*q - 6. Suppose 5*c - l - 20 - 34 = 0, -3*c = -4*l - 46. Calculate the remainder when c is divided by m(-6).
4
Suppose -4*r - 1 = 19. Let g(o) = -13*o. Calculate the remainder when g(r) is divided by 17.
14
Let f(x) be the first derivative of -5*x**4 + x**2 + x - 2. What is the remainder when f(-1) is divided by 7?
5
Let n(f) = -f**3 + 15*f**2 - f + 20. Let o be n(15). Suppose 2*b = -5*g + 14, -o*b + g = -2*b - 55. What is the remainder when 33 is divided by b?
16
Let f(n) = 6*n - 33. Let r be 2 - (2 - 3)/1. Let y = 13 - r. Calculate the remainder when f(10) is divided by y.
7
Suppose b + 2*c + 3 - 10 = 0, 3*c = b - 27. What is the remainder when b is divided by 8?
7
Let l(r) = 4*r - 10. Let w(s) = 1. Let m(n) = l(n) + 3*w(n). Calculate the remainder when 39 is divided by m(7).
18
Let s = 28 + -2. What is the remainder when 154 is divided by s?
24
Let u(f) = -2*f + 3. Let s be u(2). Let q = 4 - s. Suppose -q = d - 6*d. What is the remainder when 2 is divided by d?
0
Let i = 15 + 1. Calculate the remainder when 46 is divided by i.
14
Let i(z) = -z - 2. Let d be i(-5). Suppose 0*s + 4*s = -q + 25, 2*q - 2*s = 60. Calculate the remainder when q is divided by 0 + 1 + d*3.
9
Let r(m) = m**2 - m - 2. Let f be r(2). Let v(i) = i + 25. What is the remainder when 74 is divided by v(f)?
24
Calculate the remainder when 4/2 - -6*87/9 is divided by 16.
12
Suppose 4*a - r - 16 = 2*r, a + 5*r = 27. Suppose -z = -8 - a. Calculate the remainder when z is divided by 9.
6
Suppose 5*x = 2*x + 6. Suppose -3*u + 6 = -0. Calculate the remainder when 1/(x/((-8)/(-1))) is divided by u.
0
Let s(u) = -u**3 + 5*u**2 + 4*u + 5. Calculate the remainder when (1 - 1) + 47 + 1 is divided by s(5).
23
Let n(q) = -q**3 + 6*q**2 - 7*q + 3. Let j be n(5). Suppose 3 = -h + 4*h. Let y = h - j. What is the remainder when 22 is divided by y?
6
What is the remainder when 87 is divided by ((-176)/(-12))/(6/9)?
21
Suppose 0*y + 5 = 5*y. Suppose 2*a = a + y. Calculate the remainder when 1 is divided by a.
0
Let c = 67 + -45. Calculate the remainder when c is divided by 5.
2
Suppose 368 = -r + 599. Calculate the remainder when r is divided by 39.
36
Suppose 0 = 2*f - 21 - 19. Suppose 3*r = 83 - f. What is the remainder when r is divided by 6?
3
Suppose -4 = 3*n - 2*g + 2, 0 = -3*n - 3*g - 6. Let f be ((n + 3)*1)/1. Let h(p) = 8*p - 1. What is the remainder when h(f) is divided by 3?
1
Suppose 129 = v + 2*s, -4*v - s = -v - 392. Calculate the remainder when v is divided by 17.
12
Let x = -44 + 70. What is the remainder when x is divided by 2/(29/9 - 3)?
8
Let p(n) = n**3 - 9*n**2 + 10*n - 12. Let m(a) = 4*a - 19. Calculate the remainder when m(7) is divided by p(8).
1
Suppose 7*i = 2*i + 4*z + 60, 60 = 5*i - z. Let u(v) = v**3 - 12*v**2 + 2*v - 16. Calculate the remainder when 30 is divided by u(i).
6
Suppose 0 = 4*f - 3*m + m - 92, -5*f - m + 101 = 0. Calculate the remainder when 2*(-4 - (-345)/10) is divided by f.
19
Let p(l) = 4*l**2 - 1. Let u be p(-1). Let y(g) = -g**3 + 5*g**2 - 3*g - 4. What is the remainder when (22 + 5)*6/9 is divided by y(u)?
3
Let w = 107 - 79. Let z(b) = b**3 + 7*b**2 + 7*b. Calculate the remainder when w is divided by z(-5).
13
Suppose -5*w = -3*p - 0*p - 130, 0 = 4*w - p - 111. What is the remainder when w is divided by 10?
9
Suppose 40 = -y + 14. Let j = y + 80. What is the remainder when j is divided by 14?
12
Let d = 2 - -11. Let y(x) = -x + 21. What is the remainder when y(-30) is divided by d?
12
Suppose -3*y = -y. Calculate the remainder when 49 is divided by 0 - (-16 - (1 - y)).
15
Let o(n) be the second derivative of n**4/12 - n**3/6 + n**2 - n. Calculate the remainder when 22 is divided by o(3).
6
Let c = 181 - 62. What is the remainder when c is divided by 24?
23
Suppose h + 5*u = 3*h + 44, 20 = -h + 2*u. Let i(c) = -3*c + 1. Let y be i(1). What is the remainder when ((-11)/y)/((-2)/h) is divided by 9?
6
Suppose 2*m = -3*d + 14 + 14, -5*d - 120 = -5*m. Calculate the remainder when m is divided by 7.
6
Suppose -2*d + 10*d = 32. Let c = 28 - 16. Let w = d + c. Calculate the remainder when 46 is divided by w.
14
Let d(r) = -20*r**3 - r**2. Let k = 1 - 2. Calculate the remainder w