7
Calculate the remainder when 90 is divided by (46/3)/((-38)/(-57)).
21
Let i(r) = r**2 - 9*r + 1. Let f be i(10). Let q = f - 2. Calculate the remainder when 42 is divided by q.
6
Suppose 2*u = 0, -2*s = -0*s - 4*u - 10. Suppose -15 = -s*m - 5*v, m + v = 3*m - 21. Let n = -12 + 33. Calculate the remainder when n is divided by m.
5
Let x be (0/(2 + 1))/(-1). Suppose -4*u + 31 = 3*k - 4, x = -3*u + 2*k + 22. What is the remainder when 92/u - 6/4 is divided by 3?
1
Suppose d + 9 - 25 = 0. What is the remainder when 44 is divided by d?
12
Suppose -4*i + 4*a + 4 + 64 = 0, -i + 2*a + 16 = 0. Calculate the remainder when i is divided by 6/9 + (-26)/(-6).
3
Let t(v) = -v + 6. Let o be t(6). Let i be (o - -6)*(0 + 1). Suppose -275 = -i*n + n. Calculate the remainder when n is divided by 14.
13
Let n = -11 + 30. Suppose 5*d = 4*d - 2*a + 82, -4*d + a = -292. Calculate the remainder when d is divided by n.
17
Let t(r) = -2*r**3 - 3*r**2 - 4*r - 2. Let v be t(-3). Suppose 35 = 2*j - v. Let w = 42 - 23. What is the remainder when j is divided by w?
17
Let p = 33 + -25. Calculate the remainder when 28 is divided by p.
4
Let o(g) = 8*g**3 - 3*g**2 + g. Calculate the remainder when o(2) is divided by 14.
12
Suppose 4*z = 0, 0 = 3*k + k + 4*z - 184. Suppose 5 = -l, -5*l - 43 - 62 = -5*m. Calculate the remainder when k is divided by m.
14
Suppose 2*i = -i + 6. What is the remainder when 19 is divided by (-2)/i - -1 - -11?
8
Suppose s - 10 = -0. Suppose v - s = -v. What is the remainder when 14 is divided by v?
4
Let c = -4 - -6. Let y(r) = -3 + 7 + c*r + 3*r. Calculate the remainder when y(8) is divided by 15.
14
Suppose 18 = -5*f + 103. Calculate the remainder when 64 is divided by f.
13
Suppose -u - 2 + 5 = 0. Let a = -1 + 4. Suppose -1 = -a*b + 5. Calculate the remainder when u is divided by b.
1
Let p = 477 - 289. Suppose p - 79 = t. Suppose -4*h + t = 4*q + 1, -q + 3*h = -11. Calculate the remainder when q is divided by 8.
7
Let j(b) = -b**2 - 6*b + 2. Let o(r) = -2*r + 9. Let m be o(7). Let h(u) = 13*u - 1. Calculate the remainder when h(1) is divided by j(m).
5
Suppose 0 = 3*b + 14 - 5. Let g be -25 - 1/(b/(-6)). Let p = g - -52. What is the remainder when p is divided by 13?
12
Suppose -5*v - 3*m = -51, 4*m - 35 = -5*v + 18. What is the remainder when v is divided by 7?
2
Let m(k) = -k + 11. Calculate the remainder when 1*9*(0 + 1) is divided by m(6).
4
Suppose 2*v = 2, l = -2*l - 3*v + 33. Suppose 0 = 2*o, o = -x - 3*o + l. Calculate the remainder when 20 is divided by 6/x + 128/20.
6
Let j = 10 + -8. Suppose -6 - j = -b. Calculate the remainder when 15 is divided by b.
7
Let l = -43 + 77. Calculate the remainder when l is divided by 12.
10
Suppose 110 = 5*k - 5*z, 0 = -2*k + z - 3*z + 48. What is the remainder when 86 is divided by k?
17
Let c = 10 - 17. What is the remainder when 132/28 + (-2)/c is divided by 4?
1
Suppose -i - 77 = -4*z, 5*z = -2*i + i + 85. What is the remainder when 52 is divided by z?
16
Let h(c) = c**3 - 9*c**2 + 10*c - 2. Suppose 2 + 14 = 2*v. What is the remainder when 26 is divided by h(v)?
12
Let h(k) = -k**2 + 12*k + 2. Let t(b) = 3*b**2 - 37*b - 7. Let g(z) = 7*h(z) + 2*t(z). Calculate the remainder when 47 is divided by g(5).
22
Let z = -19 + 29. Calculate the remainder when z is divided by 2.
0
Let u(j) = j - 9. Let d be u(7). Let v(r) = -32*r - 3. Calculate the remainder when v(d) is divided by 21.
19
Let x(d) be the first derivative of -d**3/3 - 3*d**2/2 + 4*d - 2. Calculate the remainder when x(-3) is divided by 2.
0
Let r(u) = 2*u. Suppose 3*q + 1 + 5 = 0, 3*q = 3*w - 21. Let t = w + -3. Calculate the remainder when r(t) is divided by 3.
1
Suppose 5*l + 0*l + 5*d - 810 = 0, -4*l - 3*d + 643 = 0. Suppose -4*q = -l - 95. Calculate the remainder when q is divided by 13.
11
Suppose -5 = -j - 4*j - 3*d, 4*d + 20 = 0. Calculate the remainder when 13 is divided by j.
1
Let t(n) = 18*n - 6. What is the remainder when t(4) is divided by 23?
20
Let f be 79 + 2/(-2)*1. Suppose 0*q = -q - f. Let t = 130 + q. Calculate the remainder when t is divided by 18.
16
Suppose g - 12 = -x, -23 = -4*g - x + 16. Calculate the remainder when (17 + 0)*1/1 is divided by g.
8
Suppose 0 = -4*j - 4*v + 360, -2*v + 382 + 62 = 5*j. What is the remainder when j is divided by 7?
4
Let w(d) be the third derivative of d**4/3 - d**3/6 - d**2. Let p be w(-1). Calculate the remainder when 30 is divided by 6/p*-12*2.
14
Suppose -3*l = -9 + 3. Suppose 3*o - 538 = -4*v, -l*v + o = 2*o - 270. Suppose 0 = -x - 2, -4*b = -b - 2*x - v. Calculate the remainder when b is divided by 15.
14
Let w(c) = c**3 - 13*c**2 + 16*c - 10. Calculate the remainder when w(12) is divided by 10.
8
Suppose 8 = 6*s - 2*s. Suppose -4 = -s*u + 6. What is the remainder when 9 is divided by u?
4
Suppose -1 = -d + 1. Let l be (0 + -15)*(d - 3). Calculate the remainder when 57 is divided by l/(-2)*(0 - 2).
12
Suppose 98 = 3*c - 4*d, c + 5*d = 5*c - 132. What is the remainder when 150 is divided by c?
36
Let n(u) = 3*u**2 - 4*u - 2. What is the remainder when 45 is divided by n(3)?
6
Let x(h) = -19*h - 5. Let w(o) = -39*o - 11. Let c(d) = 2*w(d) - 5*x(d). Let i be c(3). Let s = 95 - i. Calculate the remainder when s is divided by 14.
13
Let t(x) be the second derivative of x**5/20 + 2*x**4/3 + 5*x**3/3 + 3*x**2 - x. Suppose -2*s = -3*s + 53. What is the remainder when s is divided by t(-6)?
17
Let t = 40 - 25. Calculate the remainder when 29 is divided by t.
14
Let p(r) = 2*r - 14. What is the remainder when p(8) is divided by 1?
0
Suppose 5*x - 29 = 3*a, -4*a = 5*x - a - 11. Suppose -x*c = c - 275. What is the remainder when c is divided by 14?
13
Calculate the remainder when (52/(-5))/((1/(-5))/1) is divided by 18.
16
Let a be (8 + -4)*3/2. Let s(v) = 6 + a*v - 3*v**2 - v**3 - 3 + 2. What is the remainder when s(-5) is divided by 13?
12
Suppose -2*t = t - 18. Let q be 10/3 + 1/(-3). Let r(y) = y**3 - y**2 - 4*y + 4. What is the remainder when r(q) is divided by t?
4
Suppose 2*p = -2 + 36. Let x be 2/(-2) + (4 - 0). Suppose x*o - 21 = 6. What is the remainder when p is divided by o?
8
Let w(n) = -n**3 - 12*n**2 + 11*n - 18. Let u = -15 - -30. What is the remainder when u is divided by w(-13)?
7
Suppose 5*o = 78 - 3. Suppose 2*h - 8 = -h + 4*k, 0 = -3*k - 15. What is the remainder when 1*(26 + (-1 - h)) is divided by o?
14
Let p(c) = c + 24. Calculate the remainder when 30 is divided by p(-13).
8
Suppose k = 6*k - 620. What is the remainder when k is divided by 42?
40
Suppose -5*k + 228 = -v, 4*v = v - 9. Calculate the remainder when k is divided by 12.
9
What is the remainder when (-3)/4 - (-158)/8 is divided by (-2 - 0 - -1)*-7?
5
Suppose 20 = 4*q - c - 37, -69 = -5*q + 2*c. Let n = q - 3. Let u = 35 - 28. What is the remainder when n is divided by u?
5
Let y(h) = 33*h + 3. Let p(a) = 32*a + 2. Let j(d) = 4*p(d) - 3*y(d). What is the remainder when 109 is divided by j(1)?
25
Suppose 2*l + 9 = -l. Let f = 0 - 6. Let j = l - f. Calculate the remainder when 5 is divided by j.
2
Let b(a) = -a**2 + 7*a - 4. Suppose f = -5*o + 4, 5*o - 3*f - 15 + 7 = 0. Calculate the remainder when b(6) is divided by o.
0
Let g = 36 + 57. Suppose 6*c = 3*c + g. Suppose -4*o + 80 = o. Calculate the remainder when c is divided by o.
15
Suppose -b + v + 1 = -4*v, 3*v = -2*b + 28. Calculate the remainder when 73 is divided by b.
7
Let v = -7 + 15. What is the remainder when 22 is divided by v?
6
Let d be (7/2)/(1/4). Let z = 1 + d. Calculate the remainder when (2*3)/((-33)/(-242)) is divided by z.
14
Let z be 35/1 + (5 - 3). Suppose 4*x = -0*y + y - z, x + 3 = 0. What is the remainder when y is divided by 9?
7
Let o(w) = -w**3 - 4*w**2 - 2*w + 6. Calculate the remainder when o(-4) is divided by 8.
6
Suppose 3*u = 43 + 26. Suppose 0 = 4*x - 3*r - u, -5*x + r - 3*r = 0. What is the remainder when 6 is divided by x?
0
Suppose -25 = -n - 2*n - 2*b, 0 = -2*b + 4. What is the remainder when 26 is divided by n?
5
Let d(b) = -4*b - 2. Suppose 0 = -g - g + 10. Let v = g + 0. What is the remainder when d(-4) is divided by v?
4
Let w = -2 - -4. Suppose 4*c - 48 = -w*q, -5*q = 3*c - 55 - 30. Calculate the remainder when q is divided by 4.
2
Let f = -2 - -163. Suppose l + f = 4*o, -4*o - o = 2*l - 185. What is the remain