3
Let j(x) = 5*x + 3. Suppose 3*y + 2*y - 5 = 0. Suppose -a - y = -9. What is the remainder when j(4) is divided by a?
7
Suppose -f + 12 + 7 = 0. Suppose 5*h - 41 = f. Calculate the remainder when 19 is divided by -4*((-33)/h - -1).
5
Let i be 3/(-18) + 34/(-12). Let o = 0 - i. Suppose 10 = -o*y + 5*y. Calculate the remainder when 8 is divided by y.
3
Let j = 214 - 171. What is the remainder when j is divided by 37?
6
Let b(m) be the first derivative of m**2/2 - m + 1. What is the remainder when -3 - (-2 + 4/(-2)) is divided by b(2)?
0
Suppose -1 - 3 = -2*b. Suppose 4*j - 5*f = -5, -3*j + f = -b*f. Calculate the remainder when 7 is divided by j.
2
Suppose 0 = -2*u - 2*s + 38, u = 4*u + 2*s - 52. Calculate the remainder when 83 is divided by u.
13
Suppose -5 = -0*x - x, -2*v = -4*x - 18. Let h = -249 - -259. Calculate the remainder when v is divided by h.
9
Let x = 1 - -3. Suppose -5*k = -3*k - x. Calculate the remainder when 5 is divided by k.
1
Let r(n) = -1 - 2*n**2 - 2 + 6 - 17*n**3 + 15*n**3 + 2*n. What is the remainder when r(-2) is divided by 2?
1
Let i = -12 + 2. Let x = 17 + i. What is the remainder when 11 is divided by x?
4
Calculate the remainder when 139 is divided by 286/10 - (-90)/(-150).
27
Suppose 4 = -u + 5*u. What is the remainder when 2 is divided by u?
0
Let v = 33 + -15. Suppose -5*n + 5*m = -75, 5*n - 22 = -4*m + 8. Calculate the remainder when v is divided by n.
8
Let c = 1 - 1. Suppose -2*g - 4 = -c*g. What is the remainder when 62/4*(0 - g) is divided by 11?
9
Let k = -4 + 4. Suppose k = 2*c - 16 - 2. Calculate the remainder when c is divided by 5.
4
Suppose -4 = 2*s, -3*l - s = -0*s - 76. Calculate the remainder when 77 is divided by l.
25
Suppose 4*d + 11 = 27. Calculate the remainder when 12 is divided by d.
0
Let g(z) = 3*z - 5. Let l be g(4). Let v(d) = 4*d**2 + 6 + d**2 - 7*d - 4*d**2. Calculate the remainder when 16 is divided by v(l).
4
Let u(w) = w**2 + 4*w - 5. Suppose 2*c - 9 = -3, 0 = 5*v - 3*c - 66. What is the remainder when u(4) is divided by v?
12
Let h(v) = -v**2 - v + 17. Calculate the remainder when h(0) is divided by 10.
7
Let z = 6 - 13. Let f be (-6)/21 - 177/z. Suppose 4*m - 7 = f. Calculate the remainder when m is divided by 3.
2
Let f(p) = -p - 12. Let l be f(-12). Suppose l = -7*i + i + 120. What is the remainder when 79 is divided by i?
19
Suppose 5*s = 5*z - 58 + 278, 5*s + 2*z - 206 = 0. What is the remainder when s is divided by 11?
9
Let d = -162 - -185. Calculate the remainder when 112 is divided by d.
20
Suppose -b - 5*y = -4*b + 26, -3*y + 18 = b. Calculate the remainder when b is divided by 5.
2
Let p be (0 - 0)*2/4. Suppose 13*d - 45 = 111. What is the remainder when (p + -1)*(-23)/1 is divided by d?
11
Suppose 5 + 0 = 5*u, 0 = 4*p - u - 439. What is the remainder when p is divided by 28?
26
Let w(n) = n**3 - 6*n**2 + 4*n + 5. Let s be w(5). Suppose s*u + 17 = -z - 3*u, -5*z - 51 = -2*u. Let x = 9 - z. What is the remainder when 58 is divided by x?
18
Suppose 3*h - 8 = 22. Suppose 5*z + o = 19 + 4, -2*z + 2*o + 2 = 0. Suppose z*d - h = -d. What is the remainder when d is divided by 2?
0
Suppose 26*j - 2 = 25*j. Calculate the remainder when 9 is divided by j.
1
Let a(c) = 2*c - 1. Let i = 31 - 19. What is the remainder when i is divided by a(3)?
2
Let v(x) = -x**3 - 7*x**2 - 5*x + 8. Let d be v(-6). Suppose -m + 110 = 3*b - b, 3*m = -d*b + 114. Calculate the remainder when b is divided by 19.
16
Let s(v) = -v**2 + 7*v - 5. Let z be s(6). Suppose 35 = r - z. Let c = 52 - r. Calculate the remainder when 63 is divided by c.
15
Let z be -2 + 125 + 2*1. Suppose -4*p = q - z, 125 = q - p - 4*p. Suppose -2*a = 3*a - q. What is the remainder when a is divided by 13?
12
What is the remainder when 26 is divided by (-315)/(-60)*(-16)/(-6)?
12
Suppose -2*x = -3*z + 22, 3*x = -0*z + 4*z - 31. Suppose 2*v + 46 = z*f, -2*f - 3*v + 7*v + 32 = 0. Calculate the remainder when 38 is divided by f.
8
Suppose -2*v + 32 = z + v, -2*z - 4*v + 56 = 0. Suppose 0*l + l = -7. Let w(f) = -2*f - 7. What is the remainder when z is divided by w(l)?
6
Suppose -5*d = -136 - 54. What is the remainder when d is divided by 21?
17
Let g(x) = x. Let s(m) = 2*m - 5. Let j(r) = 4*g(r) + s(r). Calculate the remainder when j(8) is divided by 11.
10
Suppose 3*z = 4*z - 12. Calculate the remainder when z is divided by 8.
4
What is the remainder when 4 is divided by (1 + -2)/((-5)/15)?
1
Let y = 7 - 2. Let t = y + -3. Calculate the remainder when t is divided by 1.
0
Let p(v) be the second derivative of -1/2*v**2 + 1/4*v**4 + v + 0 - 7/6*v**3. Calculate the remainder when p(5) is divided by 20.
19
Let m be 3*2 + -1 + 0. Suppose 0 = 2*r + 4*v - 44, -r + 5*v = -0*r - 8. Suppose -67 = -m*a + r. What is the remainder when a is divided by 9?
8
Let f = 109 + -36. Suppose -2*q - 10 + 45 = -5*g, 6 = 2*g. Calculate the remainder when f is divided by q.
23
Let r(u) = u**3 - 12*u**2 - 11*u - 16. Calculate the remainder when 36 is divided by r(13).
6
Let q(o) = 7 - 4*o + 2*o + 3*o. Let v be q(-6). Suppose -j + 9 = -v. What is the remainder when j is divided by 4?
2
Suppose 2*h - 34 = -2*q - 0*h, -5*q + 55 = -5*h. What is the remainder when q is divided by 5?
4
Let u be 80/24*(-12)/(-10). Suppose z - 3*h + 2 = 17, -u*h = -4*z + 36. What is the remainder when 11 is divided by z?
5
Let t(l) = l**2 + 6*l + 5. Let q be t(-4). Let s be 3/(-12) + q/4. Let f = s + 5. What is the remainder when 11 is divided by f?
3
Let c(q) = -q + 18. What is the remainder when 41 is divided by c(7)?
8
Suppose 31 + 37 = 2*g. Suppose -g = -p - p. Calculate the remainder when p is divided by 5.
2
Suppose -3*w + 2*w = -46. What is the remainder when w is divided by 16?
14
Let w(u) = 5*u + 2*u + 22 - 4*u. Calculate the remainder when w(10) is divided by 18.
16
Suppose -3*d + 192 = -0*d. Suppose -d = -4*c + 16. Calculate the remainder when c is divided by (4/(-6))/((-6)/63).
6
Let g = 5 + -5. Suppose g = -5*u + 2*c - 7*c + 55, 2*u + 3*c = 26. Suppose f + 0*f - u = 0. Calculate the remainder when 13 is divided by f.
6
Suppose 4*p = -20, -2*g - 57 = p - 164. Let r = 34 - 15. What is the remainder when g is divided by r?
18
Suppose -3*x - 2*x + 360 = 0. What is the remainder when x is divided by 11?
6
Suppose -2*s = h + 103, 0 = -3*s - 5*h - 0*h - 165. Let l = -24 - s. Let t = l - 13. What is the remainder when 38 is divided by t?
12
Calculate the remainder when 6 is divided by ((-3)/2)/((-15)/20).
0
Let p(c) = -7*c - 19. Let q be p(-14). Suppose 5*z - q = 51. What is the remainder when 102 is divided by z?
24
Suppose -4*x - 4*u = -256, x + 0*u + 2*u = 59. Calculate the remainder when x is divided by 24.
21
Suppose -34 = 5*k - g - 117, 2*k = 5*g + 24. Calculate the remainder when 65 is divided by k.
14
Let g = 5 + -1. Suppose -3*w + c + 42 = -g*c, 4*w + 4*c - 24 = 0. Calculate the remainder when 26 is divided by w.
8
What is the remainder when 13 is divided by 8 - 10 - (-2 + -12)?
1
Let s be 709 + -1*(-2 + 1). What is the remainder when s/12 - 11/66 is divided by 12?
11
Let y(o) = 4*o**3 + 4*o**2 - 13*o - 10. Let a(g) = g**3 - g**2 - g. Let f(h) = 5*a(h) - y(h). What is the remainder when 17 is divided by f(8)?
7
Suppose 22 = -5*o - 4*j, 0 = 2*o + 5*j + 2. Suppose 0 = y - 6*y + 220. What is the remainder when y is divided by 26 - -6*3/o?
21
Suppose -9*n + 1840 = 7*n. Calculate the remainder when n is divided by 39.
37
Suppose y - 87 = -3*q - q, -2*q + 47 = -3*y. What is the remainder when q is divided by 5?
2
Suppose -s - 3*s - 5*p = 11, 5*s + 5*p + 10 = 0. Let t(k) = k - 3. What is the remainder when t(6) is divided by s?
0
Suppose -q - 15 = -3*g - 0*q, 5*q = 0. Let y be (4 - 2)*(-5)/(-1). What is the remainder when 22 is divided by y + (g - 2 - 1)?
10
Let f be ((-153)/6)/((-3)/4). Let o = 50 - f. Let i(y) = 2*y**2 - 8*y + 4. Calculate the remainder when i(7) is divided by o.
14
Let n be 1 - (1/1 - -2). Let w = n + 12. Calculate the remainder when 29 is divided by w.
9
Let x(k) be the second derivative of -k**4/12 + 3*k**3/2 - 3*k**2 - 2*k. Let o be x(5). Let m = 22 - o. What is the remainder when 23 is divided by m?
7
What is the remainder when 71 is divided by 3/2*(7 - -3)?
11
Let i(j) = j**2 - 2*j + 2. Let p = -4 - -6. Calculate the remainder when 50/18 + (0 - (-8)