3. Suppose 5*l = h*l + 6. Calculate the remainder when 11 is divided by l.
5
Let g(j) = j**3 + 3*j**2 - 4*j - 4. Let x = 16 - -7. Suppose -2*k = -23 - x. Calculate the remainder when k is divided by g(-3).
7
Let s(g) = -3*g + 2. What is the remainder when 44 is divided by s(-5)?
10
Let w(b) = -b**2 + b + 3. Let a be w(5). Let p = a + 27. Suppose 3*n - 25 - 29 = 0. Calculate the remainder when n is divided by p.
8
Suppose 6*a - 2*a - 64 = 0. Suppose 2*k + 0 - 18 = 0. What is the remainder when a is divided by k?
7
Suppose -b = -0*b - 47. Suppose -5*m = 2*g - 211, -m + g + b = -g. Calculate the remainder when m is divided by 11.
10
Suppose 2*r - 2*x = 168, 2*r + x - 103 = 53. What is the remainder when r is divided by 42?
38
Let a = 69 - 38. What is the remainder when a is divided by 2/((8/(-17))/(-4))?
14
Suppose w - 5 = 52. Let q = -37 + w. Suppose 0*h = x - h - q, 3*x - 2*h - 59 = 0. Calculate the remainder when 36 is divided by x.
17
Let f = 35 + -29. What is the remainder when 29 is divided by f?
5
Suppose x - 25 = 4. Let j = 50 - 35. What is the remainder when x is divided by j?
14
Let b(d) = 4*d**3 - d**2 + 2*d. Let v be b(-2). What is the remainder when -3 - v/(6/3) is divided by 5 - (-2 + 0 + 1)?
5
Let c(o) = -21*o - 2. Let s be c(-4). Suppose -25 = y - s. Let w = y - 13. What is the remainder when w is divided by 15?
14
Suppose b - 3*q - 6 - 2 = 0, 28 = 2*b - 2*q. Let a = 24 - b. What is the remainder when 12 is divided by a?
5
Let i = 17 + 5. What is the remainder when 43 is divided by i?
21
Let w(x) = -x**3 + 23*x**2 + 5*x + 39. Calculate the remainder when w(23) is divided by 26.
24
Suppose -6*p + 10*p - 56 = 0. Let n = -8 + 48. Calculate the remainder when n is divided by p.
12
Let u = 51 - 28. Let x(v) = v + 44. What is the remainder when x(0) is divided by u?
21
Let o(d) = -4*d**3 + 3*d**2 + d + 1. Let q = -3 - -14. Calculate the remainder when o(-2) is divided by q.
10
Suppose 439 = 4*d + 135. Let n = 129 - d. What is the remainder when n is divided by 14?
11
Suppose 0 = 2*x - 6*x - h + 253, -2*x + 3*h = -123. Let m = -44 + x. Calculate the remainder when m is divided by 5.
4
Let f(m) = -m**3 - 4*m**2 + 6*m + 7. Let n be f(-5). What is the remainder when 32 is divided by n/7 + 150/14?
10
Suppose 2*x - 2 + 4 = 0. Let i = -17 + 30. What is the remainder when (x/3)/(3/(-342)) is divided by i?
12
Suppose 4*y - 2*y = 40. What is the remainder when 57 is divided by y?
17
Let t = 12 + 21. What is the remainder when 164 is divided by t?
32
Suppose -r = -d + 14, 0*d = 4*d - 3*r - 55. Let p(v) = v**2 - 2*v + 1. Calculate the remainder when p(-5) is divided by d.
10
Let i(h) = -h - 1. What is the remainder when i(-4) is divided by 3?
0
Suppose 0 = 4*u - 16, 0*u - 94 = -2*k + 3*u. Calculate the remainder when k is divided by 14.
11
Suppose -4*u + 32 = 3*x - 164, -5*u + 200 = 3*x. Calculate the remainder when x is divided by 21.
18
Let b be 4/12*9/3. Let y(o) = 64*o. What is the remainder when y(b) is divided by 22?
20
Let a(c) = -c + 1. What is the remainder when 39 is divided by a(-13)?
11
Let q = 9 - -12. What is the remainder when 39 is divided by q?
18
Let c(q) = 9*q + 3*q - 4*q - 2*q - 4. Calculate the remainder when c(3) is divided by 8.
6
Suppose 2*j = 22 + 6. Calculate the remainder when 67 is divided by j.
11
Let v(z) = 15*z**3 + z. Let y be ((-2)/(-6))/(2/6). What is the remainder when v(y) is divided by 6?
4
Suppose -6*d + d = -75. Let c = -11 + d. What is the remainder when 9 is divided by c?
1
Let z(y) = -y + 15. Let g(m) = m**2 - m. Let x(l) = l**2 - 4*l - 1. Let u(h) = 3*g(h) - x(h). Calculate the remainder when u(-4) is divided by z(0).
14
Let d be (-50)/4 + (-5)/(-10). Let b be (-752)/d*3/1. Suppose b = l + 3*l. Calculate the remainder when l is divided by 12.
11
Suppose 3*x + 0 + 3 = 0. Let j be ((-2)/(-3))/(4/6). Calculate the remainder when 50 is divided by x - (j + -1) - -18.
16
Suppose 28 = 3*n - 2*n. Suppose 24 = 5*l - x - 22, 4*l - 3*x = n. Calculate the remainder when 27 is divided by l.
7
Let o(r) = -r - 4. Let l(y) = -y**3 + 2*y**2 - 1. Let n be l(3). What is the remainder when 1*16 - (2 - 2) is divided by o(n)?
4
Let p(m) = 3*m**3 - 7*m**2 + 3*m + 1. Calculate the remainder when 111 is divided by p(3).
27
Let t(u) = 14*u**2 + 1. Let n = -30 + 71. What is the remainder when n is divided by t(1)?
11
Suppose 5*n - 569 = -3*f, 2*f + 298 + 144 = 4*n. What is the remainder when 53 is divided by 4/(-6) + n/6?
17
Suppose 2 = n - 5*j, n - j - 2 = 3*j. What is the remainder when 4 is divided by n?
0
Suppose z - 20 = 22. Calculate the remainder when 2 is divided by z/7*(-1)/(-3).
0
Suppose -g + 25 = -3*l + 5, 3*l + 43 = 2*g. Calculate the remainder when g is divided by 6.
5
Suppose 4*a - a = 0. Suppose -4 = -a*r - 2*r. Suppose -3 - 7 = -r*n. Calculate the remainder when 9 is divided by n.
4
Suppose -5*a + 24 = -16. Calculate the remainder when ((-24)/60)/((-2)/110) is divided by a.
6
Suppose -3*f = f - 3*l - 45, 2*f = 4*l + 30. Suppose 2*g - 21 = c, -2*g - g - 3*c = -f. Calculate the remainder when g is divided by 5.
3
Let j(v) be the first derivative of v**3/3 + 3*v**2/2 + v + 1. Let h = -4 - -14. What is the remainder when j(3) is divided by h?
9
Let f = 1 - -1. Suppose f*h - 3*h - 1 = 0. Let g = h + 3. Calculate the remainder when 5 is divided by g.
1
Suppose 2 = 2*x + 3*a, 2*a = -x - 0*a. Suppose j + x*j = 20. What is the remainder when 11 is divided by ((-2)/j)/((-3)/24)?
3
Let m(c) = 2*c**2 - 3*c - 6. Calculate the remainder when 60 is divided by m(-3).
18
Suppose 98 - 8 = -2*w. Let c = w - -65. What is the remainder when 58 is divided by c?
18
Let b be (-2)/8 + (-40)/(-32). Let g = b + -3. Calculate the remainder when 20 is divided by (-3 - (-1)/g)*-2.
6
Let j = -11 + 14. Suppose 5*a + 81 = 3*z, 2*a - 113 = -5*z + j*a. What is the remainder when z is divided by 8?
6
Suppose -5*o - 4*v = -319, v + 122 = 2*o - 3*v. What is the remainder when o is divided by 6?
3
Suppose 23 = -2*r + 119. Calculate the remainder when r is divided by 25.
23
Calculate the remainder when 107 is divided by (-18)/(-4)*(-6)/(-4)*4.
26
Suppose -2 - 5 = -3*v - l, 5*v = 4*l + 23. Let q(x) = 6*x**3 - x**2 + 1. Calculate the remainder when q(1) is divided by v.
0
Suppose 5*o - 2*b - b - 31 = 0, -5*o + 19 = 3*b. Suppose o*h - 5 = -4*z + 14, 3*z - 4*h - 22 = 0. Calculate the remainder when 10 is divided by z.
4
Let i(t) be the third derivative of t**4/6 - t**3/3 + t**2. Calculate the remainder when i(3) is divided by 4.
2
Suppose -3*j + 30 = 5*n, n + 3*n + 5*j - 24 = 0. Let y(x) = -x**2 - 26. Let h be y(0). Let a = 42 + h. Calculate the remainder when a is divided by n.
4
Let c(p) = -p**2 - 8*p - 6. Let i be c(-5). Suppose 0 = -l + 3 + i. Calculate the remainder when 2/7 - 152/(-7) is divided by l.
10
Let j(g) be the first derivative of g**4/4 - g**3/3 - g**2/2 - 51*g + 4. Let s be j(0). Let i = -27 - s. What is the remainder when i is divided by 13?
11
Let d(c) = -c**2 - 6*c - 6. Let a be d(-4). Let b be (7/2)/(a/(-4)). Let y(u) = u**2 - 2*u + 10. Calculate the remainder when y(b) is divided by 19.
16
Let t = -262 - -340. Let p(v) = -v**3 - v**2 + 5*v - 1. What is the remainder when t is divided by p(-4)?
24
Suppose 2 = 3*f - 1, -5*y - 3*f + 18 = 0. Suppose -7*k = -2*i - y*k + 14, -i + k + 11 = 0. What is the remainder when i is divided by 4?
3
Suppose 0 = 4*l + 3*d - 12, 5*l - d - 22 = -3*d. Calculate the remainder when l is divided by 5.
1
Let m(z) = z**2 + 12*z + 14. What is the remainder when 11 is divided by m(-11)?
2
Let a = -90 - -176. Suppose -a = -u - u. Let q = -25 + u. What is the remainder when q is divided by 10?
8
What is the remainder when 96 is divided by (2/(-2))/((-1)/49)?
47
Suppose 0*c = 3*b + 2*c - 2, -1 = -2*b - c. Suppose -d + b = -2. Suppose -2*j + 12 = d*j. Calculate the remainder when 7 is divided by j.
1
Let b(o) = 4*o + 9. Calculate the remainder when b(5) is divided by (-46)/(-3) - 2/6.
14
Let i(u) = -u**3 + 2*u**2 + 9*u + 5. Calculate the remainder when i(-5) is divided by 34.
33
Suppose 7*j - 46 - 213 = 0. What is the remainder when j is divided by 13?
11
Let j(q) = 7*q + 6. Let v be j(5). Suppose 4*s + v = 5*p, -2*p + 5*s = -p - 25. What is the remainder when p is divided by (-4)/5*10/(-4)?
1
Suppose -5*f - 4*j =