 Calculate the remainder when 14 is divided by ((-10)/q)/((-11)/(-33)).
4
Let x = -78 + 85. Calculate the remainder when 30 is divided by x.
2
Let n = 25 - 2. Suppose 0 = 5*o - 6*o + 5*j - 13, -o - 4*j + n = 0. Let r = 44 + -40. Calculate the remainder when o is divided by r.
3
Let q(t) = -3 + 1 - 3*t - 4. Let n be q(5). Let c = 31 + n. Calculate the remainder when 28 is divided by c.
8
Suppose 4 = -x + 7. Calculate the remainder when 11 is divided by 9 - (x + 3)/2.
5
Suppose 4 = 4*r - 5*u + 3*u, 0 = 3*u - 12. Suppose 30 = -i + r*i. Calculate the remainder when 27 is divided by i.
12
Let p be -7*(8 + -1)*1. Let f be ((-32)/(-4))/4*-17. Let r = f - p. Calculate the remainder when r is divided by 8.
7
Suppose -11*d = -268 - 106. Calculate the remainder when d is divided by 12.
10
Let t = 10 + -6. Suppose -t*s + 3*s = 2*v - 5, -4*v = s + 3. Calculate the remainder when (-8)/(-6)*30 - 3 is divided by s.
11
Suppose g + 13 = -p + 4*p, -5*p + 50 = 4*g. Calculate the remainder when (-4)/6*69/(-2) is divided by p.
5
Let p = -3 + 48. Suppose 2*x - 109 = -2*d - 3*d, -3*x - 124 = -5*d. Calculate the remainder when p is divided by d.
22
Let n(l) = -l - 2. Let z be n(-5). Let q(o) = o - 3. Let b be q(5). Suppose b*w - 142 = -3*f, f - z*f = -w - 83. What is the remainder when f is divided by 15?
14
Let l = -122 - -35. Let q = -41 - l. What is the remainder when q is divided by 16?
14
Suppose -3*d = -4*q - 87, q = -2*d + 35 + 23. Calculate the remainder when d is divided by 16.
13
Suppose 0 = -5*x + 6 + 24. What is the remainder when (4/(-5))/((-4)/110) is divided by x?
4
Suppose 4*m - y - 250 = 0, -4*y + 0*y = -3*m + 181. Calculate the remainder when m is divided by 15.
3
Suppose 3*p - 23 = -2*x, 5*p + 0*p = -15. What is the remainder when x is divided by 5?
1
Let p = 44 - 33. Suppose -3*g = p - 44. Let v = 15 - 8. Calculate the remainder when g is divided by v.
4
Let q = -25 - -17. Calculate the remainder when (-2)/(-6) + 376/6 is divided by ((-16)/(-3))/(q/(-24)).
15
Let k(p) = p**2 - 3*p + 1. Let j(l) = 4*l**2 - 13*l + 5. Let q(s) = -2*j(s) + 9*k(s). Suppose 2*c - 13 = c. What is the remainder when c is divided by q(3)?
3
Let a(h) = 3*h**2 + 2*h + 1. Let u be 240*(2 + (-6)/5). Suppose -x + u = 2*x. What is the remainder when x is divided by a(-3)?
20
Let a(q) = q**3 - 6*q**2 + 6. Let j(m) = -m**3 + 6*m**2 + m. Let v be j(6). Calculate the remainder when a(v) is divided by (-1 - -2)*(5 + -1).
2
Suppose -4*h + 71 = 11. Let y = -24 + h. Let p = -6 - y. Calculate the remainder when 4 is divided by p.
1
Let l(q) = -10*q - 7. What is the remainder when l(-5) is divided by 9?
7
Let y(m) = 369*m**3 + 2*m**2 - 1. Let a be y(1). Suppose -5*d = 7*l - 4*l - a, 5*d = -2*l + 255. What is the remainder when l is divided by 29?
28
Suppose 3*z + 10 = z, -v - 5*z - 25 = 0. Suppose i + 2*i - 81 = v. Calculate the remainder when i is divided by 10.
7
Let y = 111 - 69. What is the remainder when y is divided by 15?
12
Let k = 79 - 48. Let f(x) = 4*x - 5*x**2 - 2*x**3 + x + x**3 + 5. Calculate the remainder when k is divided by f(-6).
9
Let j be -1 - (-2 - (1 - -2)). Suppose 0 = -3*o + 5*m + 24 + 21, -2*o = j*m - 8. Calculate the remainder when ((-19)/(-5))/(-2 - (-22)/10) is divided by o.
9
Suppose m - 104 = -3*m. Let h = 53 - 44. Calculate the remainder when m is divided by h.
8
Suppose -5*j + 72 = -4*j. Calculate the remainder when j is divided by 19.
15
Suppose 3*j = -c - 3, c = 5*c - 3*j - 3. Let b(f) = 2*f + 1 - 4*f + 3*f. Calculate the remainder when b(c) is divided by 1.
0
Let j = 83 + -17. Suppose 4*y = j - 6. What is the remainder when 44 is divided by y?
14
Suppose 0*m = 3*m. Suppose -o = 3*f - 0*o - 41, -5*o + 10 = m. Suppose 92 = 4*p - h, 2*h = -p + 30 - 7. What is the remainder when p is divided by f?
10
Let c(i) = 15*i**3 - 4*i**2 + 3*i. What is the remainder when c(2) is divided by 19?
15
Suppose -4*o + 109 = -3*i, 0 = -o - 4*o + 4*i + 137. Calculate the remainder when o is divided by 9.
7
Let d(n) be the first derivative of n**3 + 3*n**2/2 - 12*n + 6. Calculate the remainder when d(5) is divided by 20.
18
Let f(t) = -5*t + 3. Let i be f(-5). Let l = 23 + i. What is the remainder when l is divided by 13?
12
Suppose 0 = -4*f - 8 - 0. Let y(h) = -2*h**2 + 2*h**3 - 3*h**3 + h**2. Calculate the remainder when y(f) is divided by 3.
1
Suppose 0 = -3*p - 12, 0 = 6*o - o + 3*p + 27. Calculate the remainder when 4 is divided by (-3 - -7) + 6/o.
0
What is the remainder when 62 is divided by -4 + 5 + (16 - 1)?
14
Let n(d) = 8*d - d - 2*d. Calculate the remainder when (-384)/(-21) - 4/14 is divided by n(2).
8
Let p(j) = j**2 - 2*j + 4. Suppose 82 = 4*f - 122. Suppose g + 30 = 2*s - 3*g, 4*g = 5*s - f. Calculate the remainder when p(5) is divided by s.
5
Suppose j = 2*j - 142. Calculate the remainder when j is divided by 48.
46
Suppose -6*b = -3*b - 15. Suppose -d - 2*j - 58 = -b*d, -5*d + 53 = 4*j. What is the remainder when 22 is divided by d?
9
Suppose 2*z - 21 = -0*z - 5*x, 9 = 2*z + x. Suppose z*m = -m - 16. Let o(i) = -3*i + 3. Calculate the remainder when 43 is divided by o(m).
13
Let d = 39 - 14. What is the remainder when d is divided by 13?
12
Suppose 0 = -5*i - h + 126 + 111, 2*i + 2*h - 90 = 0. Suppose 0 = -4*y + 20 + i. What is the remainder when 65 is divided by y?
14
Suppose -24*r + 30*r = 204. What is the remainder when 101 is divided by r?
33
Let q = 114 - 96. What is the remainder when q is divided by 4?
2
Let h = 25 + -15. Let x(g) = 2*g**3 - g**2 + 1. Let c be x(1). What is the remainder when 1 + 18/(-1 + c) is divided by h?
9
Suppose -5*s + 5*n = 9 + 1, -4*n = 3*s - 22. Let a(i) = 3*i + 1. Let h be a(-2). Let o(x) = -x - 1. What is the remainder when o(h) is divided by s?
0
Let i = -30 + 46. Suppose 5 = 3*w - i. Calculate the remainder when 24 is divided by w.
3
Let j(f) = -2*f - 6. Calculate the remainder when j(-8) is divided by 2.
0
Suppose 2*i - 3*w + 36 = -0*w, -5*i + w - 103 = 0. What is the remainder when (-1443)/i - 6/(-21) is divided by 35?
34
Suppose -2*l - c = -57, 4*c - 108 = -l - 3*l. Suppose -4*j + 26 = -l. Calculate the remainder when j is divided by 4.
2
Let m = 11 - 6. Let l = 2 + 8. Let w = 23 - l. Calculate the remainder when w is divided by m.
3
Suppose -43 - 7 = -2*s + 2*l, 5*l + 102 = 4*s. What is the remainder when 91 is divided by s?
22
Suppose -3*w = -6*w. Suppose w = 6*o - 2*o - 120. Suppose 3*s = -0*s + o. Calculate the remainder when 19 is divided by s.
9
Let l be 2/(-5) - 1624/(-35). Suppose 46 = 5*m - z, 5*z + l = 3*m + 14. Calculate the remainder when (-1)/(-2) + 204/8 is divided by m.
8
Let f(o) = o**3 - o**2 + o + 20. Let v be f(0). Suppose -3*c + v = -1. Let q(n) = n**2 + 4*n - 8. What is the remainder when c is divided by q(-6)?
3
Let u(z) be the first derivative of 2*z**3/3 - z**2/2 - 5*z - 5. Let s = 5 + -1. What is the remainder when u(s) is divided by 8?
7
Calculate the remainder when 62 is divided by ((-4)/(-12))/((-6)/(-234)).
10
Let m(o) = -19*o + 6. Let c(s) = 18*s - 5. Let r(v) = -6*c(v) - 5*m(v). Suppose -9*q - 28 + 1 = 0. What is the remainder when r(q) is divided by 10?
9
Suppose 24 - 37 = -m. Calculate the remainder when 50 is divided by m.
11
Let o(l) = l**3 - 2*l. What is the remainder when 22 is divided by o(2)?
2
Let g(p) = p**2 - p - 10. Let j(r) = -r - 4. Let l be j(-4). Let z be g(l). What is the remainder when 11 is divided by z/55 - (-46)/11?
3
Suppose -5*j - 3*v = v - 93, -3*j = v - 53. What is the remainder when 31 is divided by j?
14
Let g(k) = 3*k**2 - 1. Let n be g(1). Suppose y = -5*z + 42, 10 = n*y - 3*z - 9. What is the remainder when y is divided by 9?
8
Suppose -3*z = z - 104. Calculate the remainder when (z/(-5))/((-7)/35) is divided by 7.
5
Let p(y) = -56*y - 3. Let i = 4 - 6. Let g be p(i). Let d = g + -69. What is the remainder when d is divided by 14?
12
Suppose -40 = -0*u - 5*u. Suppose 0 = -0*z + 5*z - 4*i - 28, -2*i = -5*z + 24. Suppose z*m = -m + 110. Calculate the remainder when m is divided by u.
6
Let q = 86 + -78. Calculate the remainder when 18 is divided by q.
2
Let h(i) = 2*i + 6. What is the remainder when 26 is divided by h(4)?
12
Let p(s) = -2 + 1 - 8*s - 20*s - 27*s. What is the remainder when p(-1) is divided by 14?
12
Let n = 190 - 65. Calculate the remainder w