 when 14 is divided by z?
6
Suppose 160 = 4*n + n. Let p = n + -23. Calculate the remainder when p is divided by 5.
4
Suppose -3*d + 5*l + 259 = 0, 84 = d - 0*l - 4*l. Calculate the remainder when d is divided by 30.
28
Let z(i) = i. Let n be z(0). Suppose -25 = -n*o - 5*o. Calculate the remainder when (-12)/(-8) - 69/(-6) is divided by o.
3
Suppose -5*r + u = 394, -u + 4*u = -2*r - 144. Let c = 109 + r. Calculate the remainder when c is divided by 11.
9
Let h(t) = 9*t - 11. Let k(f) = 10*f - 11. Let n(l) = -5*h(l) + 4*k(l). What is the remainder when n(-10) is divided by ((-3)/(-1))/((-2)/(-14))?
19
Let x(n) = 15*n + 3. Let z be x(-3). Let y = z + 109. Suppose 5*i - 38 = y. Calculate the remainder when 40 is divided by i.
19
Suppose l - 7 = -5. Suppose -l*o + 8 = -18. What is the remainder when 25 is divided by o?
12
Suppose 2*q - 3 = 37. Suppose -122 - 26 = -4*a. What is the remainder when a is divided by q?
17
Let z(f) = -5 + 6 - 3*f + 0 - 2 - f**2. What is the remainder when 2 is divided by z(-2)?
0
Let v = 152 + -115. Calculate the remainder when v is divided by 19.
18
Let g = 180 + -168. What is the remainder when g is divided by 4?
0
Suppose -4*v - c = -125, 87 + 44 = 4*v - c. Calculate the remainder when v is divided by 24.
8
Suppose -x + 2 = -3. Suppose 0 = -z + x*z. Suppose 3*b + 5*o - 106 = z, -o - 34 = -5*b + 124. Calculate the remainder when b is divided by 11.
10
Suppose 4*b = -12 + 64. Calculate the remainder when b is divided by 7.
6
Let y = -4 + 4. Let q(j) = j + 10. Let i(k) = -k**3 - 4*k**2 - 6*k - 5. What is the remainder when i(-4) is divided by q(y)?
9
Let g be 1 + (-2 - (1 - 2)). Suppose 0 = -g*q + q - 7. Let c = -16 + 29. What is the remainder when c is divided by q?
6
What is the remainder when (-1017)/(-18) + 6/(-4) is divided by 14?
13
Suppose 3*s + 224 = 3*b - s, -s + 229 = 3*b. What is the remainder when b is divided by 26?
24
Let h(a) = -a**3 - a + 11. Calculate the remainder when 119 is divided by h(0).
9
Suppose 0 = 2*k - 3*k + 7. Let o(j) = j**3 + 4*j**2 + 5. What is the remainder when k is divided by o(-4)?
2
Suppose 2*m = 5*m + 48. Let t = 30 + m. What is the remainder when t is divided by 8?
6
Let c(r) = -13*r**3 - r**2 + r + 1. Suppose 3*m - 184 = m. Suppose 8*y = 4*y + m. Calculate the remainder when y is divided by c(-1).
11
Let q = 59 - 55. Calculate the remainder when 17 is divided by q.
1
Let c = 64 + -57. What is the remainder when 58 is divided by c?
2
Let i(b) = -6*b - 51. Let l be i(-16). Let q = -6 + 10. Suppose q*v - l = -v. What is the remainder when 17 is divided by v?
8
Suppose -4*g + v = -93, -v + 94 = 4*g - 3*v. Calculate the remainder when 43 is divided by g.
20
Let q(a) = a**2 - a - 11. Calculate the remainder when 34 is divided by q(5).
7
Let s(p) = -p**2 - 2*p + 2. Let j be s(-4). Let y(d) = 5 + 0 - 2*d + 2. What is the remainder when y(j) is divided by 10?
9
Suppose -10 = 2*q + 4*r, -3*q - 3*r - 4 = 2. Suppose 1 = l - 2. Suppose -3 = -3*n + 6*n - 2*p, 4*n - 13 = -l*p. What is the remainder when q is divided by n?
0
Let l = -7 + 3. What is the remainder when 14*l*(0 - 1) is divided by 19?
18
Let p(c) = 5*c + 10. What is the remainder when p(6) is divided by 21?
19
Suppose -24 = -l - 2*i, l + i = -2*i + 29. Suppose -2 = -f + 3*k, 8 = 4*f + 4*k - 7*k. Suppose -4*g = -f*g - 10. What is the remainder when l is divided by g?
4
Let u = -12 - -29. Calculate the remainder when 67 is divided by u.
16
Let q = 4 + 11. Let r = 8 + q. Calculate the remainder when r is divided by 12.
11
Suppose -2*l - 4*w + 60 = 0, -3*l + 3*w = 2*w - 83. Let z(n) = -15*n**3. Calculate the remainder when l is divided by z(-1).
13
Suppose 2*w = 4*w - 30. Suppose -5 = 5*x, -2*t - w = 4*x - 39. Suppose 3*j = -2*l + t, -3*j + 2*j = -5*l + 18. Calculate the remainder when 10 is divided by l.
2
Suppose 0*a = 5*f + 4*a - 3, 4*f - 24 = 4*a. Let x(j) = -j**2 + 6*j + 8. Calculate the remainder when f is divided by x(7).
0
Suppose -3*q - 3*o + 217 = -17, -5*q + o + 390 = 0. Calculate the remainder when q is divided by 8.
6
Let j be (-10 - -4)*9/6. Let w = j + 11. Calculate the remainder when (-47)/(-7) + 4/14 is divided by w.
1
Let s = -4 + 24. Let k(u) = s*u**3 + u - 2*u**2 - 6*u**3 + u**2. Calculate the remainder when 41 is divided by k(1).
13
Let x(n) = 2*n - 15. Suppose 31 = s - 5*k, -s = -4*k - 22 - 5. What is the remainder when 25 is divided by x(s)?
4
Let g = 150 - 44. Suppose -4*f = -6 - g. Let s = 14 + -4. What is the remainder when f is divided by s?
8
Let c = 38 - -11. Calculate the remainder when c is divided by 13.
10
Let a(q) = q**3 - 4*q**2 - 5*q + 5. Let r be a(5). Suppose -r*w = -70 - 85. What is the remainder when w is divided by 11?
9
Calculate the remainder when 47 - (-5 + (-10)/(-2)) is divided by 10.
7
Let y(o) = 8*o**2 - 1. Suppose 3*n - 5*n = 2. Let h = 13 - 9. What is the remainder when y(n) is divided by h?
3
Suppose -2*d - d + 5*p + 19 = 0, -5*d + 45 = 5*p. What is the remainder when 170/8 + (-1)/4 is divided by d?
5
Let x(r) = -r**3 + 6*r**2 + 6*r - 6. Let n be x(5). Suppose 0*o - 2*o + h = -n, 4*h + 64 = 2*o. What is the remainder when 41 is divided by o?
19
Suppose 2*l - 60 = 30. Suppose g - l = -4*g. Let m(d) = d**2 + d - 3. What is the remainder when m(4) is divided by g?
8
Let f(w) = -w**3 - w - 1. Let b be f(0). Calculate the remainder when (b/1)/((-5)/10) is divided by 1.
0
Let n be (-3)/2 - 75/(-10). What is the remainder when 21 is divided by ((-3)/n)/(2/(-44))?
10
Let y = 25 + -8. Suppose -6*l + 128 = -2*l. What is the remainder when l is divided by y?
15
Let t = -37 + 59. Calculate the remainder when t is divided by 5.
2
Suppose 4*t + 0*t - 68 = 0. Suppose -32 = -2*d - 3*s, 15 + 9 = 2*d + s. What is the remainder when t is divided by d?
7
Let o(i) = 36*i + 2. Let g be o(-6). Calculate the remainder when g/(-8) - 11/(-44) is divided by 10.
7
Suppose 3*y - 2 - 22 = -3*n, 5*y = 4*n + 58. Let b(r) = -r**3 + 4*r**2 - 5*r + 2. Let o be b(3). Calculate the remainder when y is divided by 1/o + (-34)/(-8).
2
Suppose 5*b + 6 + 44 = 0. Let u = 20 + -5. What is the remainder when u is divided by (16/b)/(1/(-5))?
7
Let v(t) = -3*t + 8. Let f = 3 - 10. Calculate the remainder when v(f) is divided by 16.
13
Suppose 0 = -3*s - 0*s - 30. What is the remainder when 59 is divided by 3/1 - (s - 2)?
14
Let g = -9 - -20. Calculate the remainder when 65 is divided by g.
10
Let d = -2 + 44. Suppose 5*y = -x + 63 + 51, -y = x - 26. What is the remainder when d is divided by y?
20
Let f be (2/1 - 1) + 1. Suppose 4*z + 3*q = -z + 79, -2*z + f*q = -38. What is the remainder when (-3 - (-1 + -1))*(-33 + 0) is divided by z?
16
Suppose -22 = -2*f + 12. Calculate the remainder when 65 is divided by f.
14
Suppose 0 = 5*l + 4*f - 42, 4*l + 5*f - 33 = l. Let q be (-4)/18 - (-944)/36. Suppose 2*x - 8 = q. What is the remainder when x is divided by l?
5
Let w(j) = -j + 8. Let p be w(6). Calculate the remainder when 19 is divided by 20/p - 2 - -3.
8
Let j = 26 + -16. Suppose -2*b = -10 + 4. Suppose -b*t + 104 = 5*q, 6*t - t + 2*q = 186. Calculate the remainder when t is divided by j.
8
Let p(s) = s**2 - 10*s - 28. Calculate the remainder when 83 is divided by p(14).
27
What is the remainder when (-190)/(-6) + 12/(-18) is divided by 9?
4
Suppose 0*z - 4*z - 132 = -4*c, 0 = -5*z + 5. What is the remainder when c is divided by 7?
6
Suppose 5*a + 4*z = 4*a + 13, -5*a = z - 84. Calculate the remainder when a is divided by 5.
2
Let g = 9 + -7. Suppose 3*d = -3*l + 26 + 34, -4*l + g*d = -104. What is the remainder when l is divided by 9?
6
Let t(l) = -l**2 + 9*l - 16. What is the remainder when 43 is divided by t(5)?
3
Calculate the remainder when 24 is divided by 3 - 5 - -3 - -12.
11
Suppose 34 = 2*u - c, 3*u + 2*c = c + 51. What is the remainder when 45 is divided by u?
11
Suppose -2*w + 87 = w. Suppose -3*q - 115 = -8*q - 5*k, -2*q + 46 = -5*k. Suppose -2*b + q = -7. What is the remainder when w is divided by b?
14
Suppose -n = -3 - 6. What is the remainder when 17 is divided by n?
8
Suppose 5*x - 5*h = 120, -70 = -3*x + 2*h - 0*h. Calculate the remainder when x is divided by 9.
4
Let x be (-9)/(-15)*(-15)/(-3). Suppose x*m + 78 = 6*m. Let f = -8 + 17. What is the remainder when m is divided by f?
8
Suppose -k = -4*k + 195. Sup