w is divided by b(4).
16
Suppose 4*f - 76 = 5*a, 3*f - 22 - 26 = 3*a. Calculate the remainder when 20 is divided by (-2)/6 + (-88)/a.
6
Let s(k) = -k + 10. Let y = 7 + 1. Let h be s(y). Suppose 8 = -2*w, h*c - 5*w - 59 = -c. What is the remainder when 37 is divided by c?
11
Let z be (-8*17)/(-3 + 2). Suppose x - z = -3*x. Calculate the remainder when x is divided by 12.
10
Let w(p) = 12*p - 2. What is the remainder when 182 is divided by w(4)?
44
Suppose -3*t + 4*r = -4*t - 16, -3*r = 15. Calculate the remainder when 15 is divided by t.
3
Let w(m) = -m**3 + 3*m**2 + 5*m + 2. Suppose 40 = 2*i - 2*c, i = -5*c + 49 - 11. Calculate the remainder when i is divided by w(4).
5
Calculate the remainder when (-212)/(-6) + 24/36 is divided by 13.
10
Let t = -11 + 21. Let f = t + 30. Suppose f = 5*m - 65. What is the remainder when m is divided by 12?
9
Let a(v) = 0 + 7*v - 1 + 6*v. What is the remainder when -3 + 35 + 3 + 0 is divided by a(1)?
11
Let z = -1 + 21. What is the remainder when z is divided by 6?
2
Let n(q) = q**3 - q**2 + q - 51. Let t be n(0). Suppose -f = -4 - 0. Calculate the remainder when 33 is divided by (f/6)/((-2)/t).
16
Let t = 7 + -1. What is the remainder when 42 is divided by (-33)/(1*(-9)/t)?
20
Let j(a) = -a + 6. Calculate the remainder when 206 is divided by j(-10).
14
Suppose 0*q = q - 59. Calculate the remainder when q is divided by 21.
17
Let u(c) = -3*c + 54. What is the remainder when 98 is divided by u(15)?
8
Suppose -d - 1 = -2. Suppose 10 = v + d. What is the remainder when 17 is divided by v?
8
Suppose 7*o = -33 + 201. Calculate the remainder when o is divided by 7.
3
Suppose 0 = 5*s - 15 + 5, 3*k - 2*s = 80. What is the remainder when k is divided by 10?
8
Suppose 6*p + 2*p = 32. Calculate the remainder when 11 is divided by p.
3
Let r = 6 + -6. Suppose r*h = 2*h. Suppose c - 31 = -h*c. What is the remainder when c is divided by 16?
15
Let l(v) = -3*v + 63. Calculate the remainder when 10 is divided by l(20).
1
Let q = -1 + 5. Suppose f + f = 4*z + q, 6 = 3*f + 2*z. Let r(y) = 2*y**2 + 2*y + 1. What is the remainder when r(-2) is divided by f?
1
Let b(m) = 9*m. Calculate the remainder when b(6) is divided by 14.
12
Suppose 3*h - 5*p = 7*h - 72, -4*p - 108 = -4*h. Let u = -79 + 146. What is the remainder when u is divided by h?
21
Let c(u) = -u + 12. Let o be c(9). Suppose -5*g + 3*g + 106 = 0. Calculate the remainder when g is divided by (-1)/((o/14)/(-3)).
11
Let i(t) = t**2 - 4*t - 2. Let n(g) be the first derivative of g**2 - 2*g - 2. Calculate the remainder when n(5) is divided by i(5).
2
Let h(v) = -3 - v + 4 - v**2 + 3. Let w be h(-3). Let r(m) = -10*m - 1. Calculate the remainder when r(w) is divided by 7.
5
Let n(v) be the first derivative of -v**5/60 + v**3 + 2. Let l(t) be the third derivative of n(t). What is the remainder when 22 is divided by l(-4)?
6
Let g(w) = w**2 + 5*w - 21. What is the remainder when g(-9) is divided by 8?
7
Let h(p) = -18*p - 10. Calculate the remainder when 127 is divided by h(-2).
23
Let t be 8/(-20) + 54/10. Suppose -t*v + 18 = -2. What is the remainder when 12 is divided by v?
0
Let o = 35 + -33. Suppose -5*r = -p + 22, -12 = -p + 5*p + 5*r. Calculate the remainder when o is divided by p.
0
Suppose -3*p - 5*w + 29 = 0, 3*p - 47 = -2*w - 12. Let y = 42 - 29. Let a = y + -6. What is the remainder when p is divided by a?
6
Calculate the remainder when (161 - -4)*8/6 + 4 is divided by 57.
53
Let b be (6/4)/(8/400). Suppose -2*v - 3*v = -b. What is the remainder when 28 is divided by v?
13
Let d = 12 - 8. Suppose w - 3*u - d = -u, -5*u - 45 = -5*w. Suppose -74 = -2*f - 3*b - 6, 0 = -5*f + b + 204. What is the remainder when f is divided by w?
12
Suppose 5*f - 5*i = 5, -4*f + 5*i = -0 - 8. Let u(g) = -g**3 - 12*g**2 - 9*g + 16. Let z be u(-11). Calculate the remainder when (73/f)/(2/z) is divided by 25.
23
Suppose -5*q + 3*q = 130. Let w = q + 119. What is the remainder when w is divided by 11?
10
Let d = 6 + -2. Calculate the remainder when (-4)/(-5) - (-66)/5 is divided by d.
2
Suppose 6*n - 7*n = 0. Suppose n = -g + 9 + 4. What is the remainder when g is divided by 8?
5
Let s be 8/(-10)*30/(-4). Suppose 0 = -2*u + s - 0. Suppose 4*v - 13 = u*v. Calculate the remainder when 51 is divided by v.
12
Suppose 0 = 2*r + 4*n - 302, 0 = 3*r + 3*n + 3 - 447. What is the remainder when r is divided by 37?
34
Suppose d - 25 = 5. Let t = d - -3. Calculate the remainder when t is divided by 9.
6
Suppose -l = 5*l - 618. What is the remainder when l is divided by 26?
25
Suppose 0 = -2*u + 5*s + 27, -4*u + 4*s + 36 + 48 = 0. Calculate the remainder when 48 is divided by u.
22
Let f(a) be the second derivative of a**3/6 - 3*a**2 + a. Let i be f(8). Suppose i*q - 8 = 22. What is the remainder when q is divided by 6?
3
Calculate the remainder when (-92 - 0)*(1 + -2) is divided by 16.
12
Suppose -2*k = -0*k - 4*l - 16, -4 = 3*k + l. Let b(s) = -s**2 + 4*s - 3. Let u be b(3). Suppose k = q - 6 - u. Calculate the remainder when 17 is divided by q.
5
Suppose 15*q = 18*q - 3. Let v = 5 - 1. Suppose h + 5*y = -24, 0*y = h + y + v. Calculate the remainder when h is divided by q.
0
Suppose -3*o + 10 = -14. What is the remainder when 22 is divided by o?
6
Suppose 2*q - 4*c - 29 = 23, -3*c = -2*q + 57. Let a = -18 + q. What is the remainder when a is divided by 10?
8
Let c(f) = 3*f**2 - 1. Let x be c(1). Suppose -3 = -3*s, 3*a - 3*s + 2 - 17 = 0. Suppose x*h + 56 = a*h. Calculate the remainder when h is divided by 5.
4
Suppose o = -5*l + 123, 401 = 3*o + 5*l + 2. Calculate the remainder when o is divided by 16.
10
Suppose 57 = 4*j + 9. Suppose 0 = -2*z + 3*d + 19 - 0, -5*d = 25. Suppose y - 2*k = z*k + 39, -5*k = y - 3. Calculate the remainder when y is divided by j.
11
Suppose -4*z + 24 = 4*t, -23 = -z - 2*z + 2*t. Suppose 4*w + a = 58 + 26, -5*a - 80 = -5*w. Calculate the remainder when w is divided by z.
6
Let v(x) = -x**3 - 7*x**2 - 2*x - 10. Let u be v(-7). Let p(a) = 5*a - 3. What is the remainder when 50 is divided by p(u)?
16
Suppose 41 = 2*b - 25. Suppose 2*a - 148 = -5*l - a, -b = -l - 4*a. What is the remainder when l is divided by (0 - -1)*1 + 9?
9
Suppose 5*m - 2*h - 78 = 20, 3*m - 4*h - 56 = 0. Suppose -3*p = -5*p + m. Calculate the remainder when 18 is divided by p.
8
Let u be 156/10 - (-6)/15. What is the remainder when (u/(-5))/(5/(-25)) is divided by 6?
4
Let w be (-22)/(-77) + 920/14. Suppose w = 5*x - q, -4*x + 43 = -x - 4*q. Let k = 18 + -13. What is the remainder when x is divided by k?
3
Suppose -x + 5*n + 33 = 0, 5*x = x - 3*n + 155. Let d = x + -8. Let p = d + -21. What is the remainder when 26 is divided by p?
8
Let o = -285 - -289. What is the remainder when 14 + 0 + 0 + 1 is divided by o?
3
Suppose -43*o - 510 = -48*o. What is the remainder when o is divided by 13?
11
Suppose i = k - 2*i, 0 = -2*k - i + 7. Calculate the remainder when k is divided by 2.
1
Let p(m) = 5*m + 2. Suppose -2*c + 54 = 2*l, 0 = 2*c - 4*c + 5*l + 26. Calculate the remainder when c is divided by p(2).
11
Suppose -a + 6*a - 40 = 0. Calculate the remainder when 30 is divided by a.
6
Let s = 19 - -7. Calculate the remainder when s is divided by ((-6)/5)/(4/(-30)).
8
Let g be (-2)/(-6) + (-26)/(-3). Let k(f) = -f + 5. Let q be k(g). Calculate the remainder when q/(-3)*6/4 is divided by 2.
0
Let g(c) = -4*c**3 - c**2 - 2*c - 1. What is the remainder when 8 is divided by g(-1)?
0
Suppose 5*c = -0*c. Suppose -3*j - 5 + 29 = c. What is the remainder when 38 is divided by j?
6
Suppose -8*j + 7*j + 9 = 0. Calculate the remainder when 21 is divided by j.
3
Suppose 3*c = 8*c - 80. What is the remainder when 54 is divided by c?
6
Suppose 445 + 93 = 2*x. Calculate the remainder when x is divided by 45.
44
Let f = 3 - 15. Let d be 65/(-7) + 14/49. Calculate the remainder when (f/4)/(d/96) is divided by 17.
15
Suppose 4*b = 3*b - 2. Let g = b + 4. Suppose g*k - 5*n - 55 = -0*k, -2*n = -3*k + 55. Calculate the remainder when k is divided by 8.
7
Suppose -p - 2*m - 1 = -12, 5*m = -3*p + 36. Suppose 0 = -4*i + i + 201. Calculate the remainder when i is divided by p.
16
Suppose -5*o + 61 = -69. Suppose -2*h + o = -j + 3*j, 3*j + 12 = 0. Suppose -14 = -2*v + 4. What is the remainder when h is divided by v?
8
Calculate the re