-3*d + 5 = 4*f. Suppose 0*z = -z + 4. What is the remainder when (z - -2) + 2 + 0 is divided by d?
2
Let b(x) = 25*x. Let g(h) = -12*h. Let t(c) = 3*b(c) + 5*g(c). Suppose z + 4*z - 3 = -j, j + 2 = 0. Calculate the remainder when 44 is divided by t(z).
14
Let u = 1 - -1. Suppose 2*c + u*d + d = 36, 38 = 2*c + 2*d. Calculate the remainder when 82 is divided by c.
19
Suppose 2*x - 3*x = -3. Let q(s) = s**3 - 3*s**2 - 2*s - 4. Calculate the remainder when q(4) is divided by x.
1
Let q be (-2)/3*21 + -1. Let x = q + 28. Let o = x - -2. What is the remainder when o is divided by 8?
7
Suppose 100 = 27*z - 22*z. Calculate the remainder when z is divided by 11.
9
Let n(l) = -2*l**2 - 26*l - 12. What is the remainder when 42 is divided by n(-12)?
6
Let l(j) = j**2 - 8*j + 5. What is the remainder when 21 is divided by l(8)?
1
Let v = 9 + -1. What is the remainder when 23 is divided by v?
7
Let o(w) = -2*w - 10. Calculate the remainder when 50 is divided by o(-14).
14
Suppose a - 4*l + 3 = 0, -a - a + 4 = -3*l. What is the remainder when a is divided by (-2*(-5)/(-10))/((-2)/4)?
1
Let x = 20 + -15. Let n = 21 + -4. What is the remainder when n is divided by x?
2
Let p(r) = 2*r + 2. Let x(y) = -y + 1. Let h(v) = 2*p(v) + 2*x(v). What is the remainder when h(9) is divided by 13?
11
Suppose -7*y = -3*y - 144. Suppose -10 = -2*m + 7*m. Calculate the remainder when y is divided by (-50)/(-4) - m/4.
10
Suppose -5*b + 6 + 4 = 0. Let o(a) = -2*a**2 - b + a**2 + 3*a**2 - 5*a. Calculate the remainder when 28 is divided by o(4).
8
Let g be (4 + -2)/(4/(-18)). Let b(r) = -3*r - 5. What is the remainder when b(g) is divided by 12?
10
Let s(y) = 3*y - 8. Let w be s(4). Suppose -3*r - 12 = -w*k + r, -5*k - 5*r = -55. Calculate the remainder when 25 is divided by k.
4
What is the remainder when 45 is divided by (-209)/(-9) + 2/(-9)?
22
Suppose -3*z + 26 = -22. Let s(o) = o + 12. Let j(r) = 6. Let h(w) = 5*j(w) - 3*s(w). Calculate the remainder when z is divided by h(-4).
4
Let i(j) = j**2 + 9*j + 4. What is the remainder when i(-15) is divided by 24?
22
Suppose 5*j = -25, -2*m + 49 = -0*j - 5*j. What is the remainder when m/6*23/2 is divided by 12?
11
Suppose o + 4 = 15. What is the remainder when 32 is divided by o?
10
What is the remainder when (2 + -5)*4/((-24)/158) is divided by 14?
9
Let c = 44 - 30. What is the remainder when 25 is divided by c?
11
Let j be (-2 + -1)/((-3)/2). Suppose -4*l = -2*h + 16, j*h + 3*l - 23 = -7. Calculate the remainder when h is divided by 5.
3
Suppose -l = 3 - 27. Let t = -7 - -7. Suppose 3*v + t*v + 3*o - l = 0, -v = 4*o - 8. Calculate the remainder when v is divided by 5.
3
Suppose -5*q - 5 = -30. Let i(s) = -s + 5. Let m be i(q). Suppose m = -5*d - 9 + 39. What is the remainder when 16 is divided by d?
4
Let h = 16 + 58. Let s = h - 15. What is the remainder when s is divided by 15?
14
Suppose 0 = 3*n - n - 42. What is the remainder when ((-36)/(-54))/(2/n) is divided by 4?
3
Let o(x) = x**2 - 8*x + 10. Let f be o(7). Suppose 0 = f*u - 4*u + 10. Let t = -88 + 106. What is the remainder when t is divided by u?
8
Suppose 54 + 118 = 4*a. Suppose 3*h - 63 = -3*f - h, 3*h = -2*f + a. Calculate the remainder when f is divided by 9.
8
What is the remainder when 498/26 + (-8)/52 is divided by 7?
5
Suppose -2*c = -4*c + 54. What is the remainder when 78 is divided by c?
24
Suppose 2*c + 3*o = o + 70, -3*o - 45 = -2*c. Calculate the remainder when 55 is divided by c.
25
Suppose 6 = -r + 5*b, 0*r - 3*r = 5*b - 22. Suppose 3*f - 5*f + c + 21 = 0, 0 = -r*f + 3*c + 39. Calculate the remainder when 22 is divided by f.
10
Suppose 4*s = -v - 7, 19 = -5*v - 0*s - 4*s. Let i be 0/(v/(6/4)). Suppose i = 2*f - 14. What is the remainder when 20 is divided by f?
6
Suppose -5*c - 40 + 100 = 5*f, -2*f = -c + 27. Suppose m - 9 = 1. What is the remainder when c is divided by m?
7
Suppose -2*l - 2*h + 10 + 8 = 0, 3*l - 3*h - 27 = 0. Calculate the remainder when 35 is divided by l.
8
Suppose 4*g = 140 - 12. Let s(a) = a**2 + a - 3. Calculate the remainder when g is divided by s(-5).
15
Suppose -3*u = -u - 32. Let h = -16 - -7. Let l = h - -18. Calculate the remainder when u is divided by l.
7
Let h(u) = -6*u - 12. Suppose 24 = 5*w + 4. What is the remainder when h(-3) is divided by w?
2
Let i(x) = -x. Let f be i(-2). Suppose f*v + a = 3*a + 34, -3*a = v - 13. Calculate the remainder when v is divided by 6.
4
Suppose 38 = 3*u - 34. Suppose -s + u = 3. What is the remainder when 61 is divided by s?
19
Suppose -g - 419 = -4*i + 24, -2*i - 3*g + 211 = 0. Calculate the remainder when i is divided by 37.
36
Let a(v) be the third derivative of -v**6/120 - v**5/20 - v**3/3 - 2*v**2. Calculate the remainder when 40 is divided by a(-4).
12
Suppose -2*n = 5*d - 18 - 63, 3*n = -6. Let x(b) = -11*b + 4. Let h be x(-2). Let f = h - d. What is the remainder when 26 is divided by f?
8
Let z(j) = 9*j**2 + 2*j - 3. Calculate the remainder when z(1) is divided by 6.
2
Let z = 5 + 2. What is the remainder when 12/12*(11 - (-6)/3) is divided by z?
6
Suppose d + 1845 = -2*d. Calculate the remainder when 4/18 + d/(-27) is divided by 0 + 8*1 + 0.
7
What is the remainder when 7 is divided by 2/(-4) - 5/(-2)?
1
Suppose 45 = -3*l + 3*m, 0 = l + 3*m - 0 + 31. What is the remainder when ((-2)/4)/((-2)/268) is divided by -1 - -1 - (l + 2)?
16
Suppose -6 = -4*u + 14. Let f be (-4)/(-10) - (-144)/(-10). Calculate the remainder when (1 + 2)*f/(-3) is divided by u.
4
Suppose 0 = 3*d - 2*d. Suppose d = -0*s - s + 29. Let b = s - 13. What is the remainder when 46 is divided by b?
14
Suppose -4*b + 89 = -r - 47, -5*b + r = -169. Suppose 35 = 3*d - 4*h, 3*h = 2*d + 3*d - 51. Calculate the remainder when b is divided by d.
6
Let d = 117 - 38. Suppose 3*x = d - 19. What is the remainder when 38 is divided by x?
18
Let c(l) = -l**3 - 9*l**2 + 20*l - 4. Calculate the remainder when c(-11) is divided by 10.
8
What is the remainder when 10/25 - (0 + (-16)/10) is divided by 2?
0
Let h(m) = 2*m**3 + m**2 - 2*m. Let z be h(-2). Let v = z + 17. What is the remainder when 17 is divided by v?
8
Calculate the remainder when 24 is divided by (-4)/(-20) + 34/5.
3
Suppose 0 = 22*g - 23*g + 38. Calculate the remainder when 74 is divided by g.
36
Let x(r) = -2*r**2 - 4*r - 3*r**2 + 2 + 13*r + 4*r**2. Let f(l) = -l**3 + 2*l**2 + 4*l - 2. What is the remainder when x(9) is divided by f(3)?
0
Suppose 3*c = -9, -2*c - 19 = -2*u + 9. Suppose 0*d + 2 = -2*d. Calculate the remainder when d - 0 - -22 - 0 is divided by u.
10
Suppose 3 = -0*c - c - 2*y, 0 = 3*c - 2*y - 7. Let u(b) = -b**2 - 6*b - 6. What is the remainder when u(-4) is divided by c?
0
What is the remainder when 5*9 + (-15 - -13) is divided by 22?
21
Let r(n) = 50*n**2 - 1. Suppose -5 + 1 = -4*c. Calculate the remainder when r(c) is divided by 34/((-1)/((-3)/6)).
15
Suppose 0 = -11*c + 4*c + 84. What is the remainder when 22 is divided by c?
10
Let u(j) = -2*j**3 + j**2 - 3*j + 1. Suppose 3*i + 4 = -2. What is the remainder when 79 is divided by u(i)?
25
Let m = 2 - -15. Calculate the remainder when m is divided by 3.
2
Let h(p) = p**3 - 2*p**2 - 2*p + 2. Let m be h(3). Suppose -m*z + 172 = 3*d, 3*z - 152 = -2*z + 2*d. What is the remainder when z is divided by 17?
15
Suppose -2*c = -3*x - 2 + 4, 4*c - 10 = -x. What is the remainder when 10 is divided by x?
0
Let r be (3/(-6))/((-1)/30). Let b = r - 6. Suppose 0*v + v = 17. Calculate the remainder when v is divided by b.
8
Let b = 1 - -17. Suppose 0 = -4*l - 5*d + 117, -d = l + 3*d - 21. What is the remainder when l is divided by b?
15
Suppose 2*o = 7*o - 65. Let n = -9 + o. Calculate the remainder when 6 is divided by n.
2
Let y be -4*1 - (-1 - -1). Let j be (-210)/y*(-8)/(-12). Let p = j + -21. What is the remainder when p is divided by 5?
4
Let a(b) = -b**3 - b**2 - 4*b - 3. Let r be a(-3). Suppose -r = q - 4*q. Let o = 41 - 25. What is the remainder when o is divided by q?
7
Let r(c) = -11*c + 11. What is the remainder when r(-17) is divided by 20?
18
Suppose s - 3 - 4 = 0. Calculate the remainder when 15 is divided by s.
1
Suppose -h = 2*h - 33. What is the remainder when 208/10 + (-2)/(-10) is divided by h?
10
Let x = 115 + -60. What is the remainder when x is divided by 19?
17
Suppose 29 = -4*t + 3