te the remainder when 30 is divided by n.
8
Let c = -29 - -113. Calculate the remainder when 10 is divided by 24/c + 80/14.
4
Suppose 5*i + 0*k = k + 177, 2*i = 5*k + 57. Calculate the remainder when 214 is divided by i.
34
Let y = -39 + 145. What is the remainder when y is divided by 12?
10
Let m = -24 + 58. What is the remainder when m is divided by -18*(0 - (-4)/(-8))?
7
Let x = 2 + -1. Calculate the remainder when -1 + 42/10 + (-9)/45 is divided by x.
0
Let u(h) = 2*h. Let p be (-2)/(-5) + 8/5. What is the remainder when u(p) is divided by -4*1/((-8)/6)?
1
Let z(h) = h**2 - 1. Let s(k) = -7*k**2 - k - 3. Let r(d) = -s(d) + 2*z(d). What is the remainder when 25 is divided by r(-1)?
7
Suppose 25 = -2*i + 51. Calculate the remainder when 24 is divided by i.
11
Let g(u) = 20*u**2 + u - 2. Calculate the remainder when g(-2) is divided by 16.
12
What is the remainder when 19 is divided by (-15)/((-7)/(42/9))?
9
Suppose 0 = 5*w - 1 - 9. What is the remainder when 6 is divided by 2/w + (5 - 2)?
2
Suppose 0 = 4*a + a - 25. Suppose -a*q - 2*v = -326, -5 + 13 = -4*v. Let k = q - 46. What is the remainder when k is divided by 11?
9
Let j(r) = -r**3 - 7*r**2 + 5*r - 11. Suppose 234 = -0*v + 3*v. Let n = v + -54. What is the remainder when n is divided by j(-8)?
11
Let y = 14 + -16. Let x(o) = -30*o + 2. Let v(i) = -31*i + 2. Let r(q) = -4*v(q) + 5*x(q). What is the remainder when r(y) is divided by 19?
16
Let v(b) = 2*b + 1. Let i be v(-5). Let p = -7 - i. Calculate the remainder when 5 is divided by p.
1
Let v be (108/16)/((-3)/8). Let x be 2*1 - (5 - v). Let y = -2 - x. Calculate the remainder when 56 is divided by y.
18
Suppose u = 2*k + 12, 0 = 2*k - k + 2. Calculate the remainder when 22 is divided by u.
6
Suppose 3*b + 2*s + 1 = 0, 5*b + s - 13 = 5*s. Let a = 54 + -51. What is the remainder when a is divided by b?
0
Let p(m) = -10*m**2 + m - 2. Let o be p(1). Let a = 19 + o. What is the remainder when a is divided by 5?
3
Let d(b) = -3*b**2 - 2*b - 3. Let z be d(-3). Let a = z + 38. Let h = a - 7. What is the remainder when 12 is divided by h?
5
Let n(y) = 2*y**2 - 2*y + 6. Let u be n(-5). Suppose w + 19 = u. Calculate the remainder when w is divided by 16.
15
Let k be (-63)/12 - (-3)/(-4). Let y = k - -8. Suppose 5*m = -s - 0*s + 192, -y*m - 2*s + 80 = 0. Calculate the remainder when m is divided by 13.
12
Suppose -2*m - 30 = -7*m. Suppose -2*k - 4*h = -4, 3*k - 3*h = -4*h + m. Suppose 7*f - k*f - 60 = 0. What is the remainder when f is divided by 7?
5
Suppose -5*s + r + 148 = 0, 5*s + 2*r + 2*r = 158. Let k(x) = 4 + 3*x**2 + 4 - 5*x + 0 - 4. Calculate the remainder when s is divided by k(3).
14
Let c(w) = -w**3 + 4*w**2 + 2*w - 2. What is the remainder when 9 is divided by c(4)?
3
Suppose -2*w - 140 = -5*n - 45, 5*w + 110 = 5*n. Calculate the remainder when n is divided by 5.
2
Let y(s) = 2*s**2 + 3*s - 5. Suppose -17 + 5 = 4*a, -4*w - 5*a - 7 = 0. Calculate the remainder when 15 is divided by y(w).
6
Suppose d - 6*d + 45 = 0. What is the remainder when 51 is divided by d?
6
Let g = 1 + 1. Let u be 1*-5 - (1 - 0). Let a = g - u. What is the remainder when 14 is divided by a?
6
Suppose -2*f = 36 - 110. Suppose f = 3*v - 11. Suppose -185 = -4*k - 65. What is the remainder when k is divided by v?
14
Suppose 2 = 2*j - 0*j. Let o(h) = -j - 3*h - h + 0*h. Calculate the remainder when 44 is divided by o(-4).
14
Let j = -32 - -17. Let w = j - -18. What is the remainder when 0 + 4 + (0 - -1) is divided by w?
2
Let t = -7 - -6. What is the remainder when 46 is divided by (t - -2) + 18 + -3?
14
Suppose -3*h + 3 = 3*f - 3, -26 = -4*h + 5*f. Let w(v) = -v**2 + 9*v + 1. Suppose -y - 22 = -3*y. What is the remainder when w(h) is divided by y?
10
Let x = -19 + 12. Let o(a) = -a**3 - 6*a**2 + 7*a + 6. Let p(g) = 2*g**3 + 10*g**2 + 8*g + 11. What is the remainder when p(-4) is divided by o(x)?
5
Let z = 50 + -17. Suppose z = 3*i + q, -2*q - 2*q = 4*i - 36. What is the remainder when 22 is divided by i?
10
Let u(j) = -3*j**3 - 5*j**2 - 7*j - 6. What is the remainder when u(-3) is divided by 13?
12
Let l = -21 - -34. What is the remainder when l is divided by 5?
3
Let o(m) = 7*m - 1. Let n(z) = -z**3 + 15*z**2 - 10*z - 33. Calculate the remainder when n(14) is divided by o(2).
10
Let b(n) = -n**3 + 4*n**2 - 2*n + 1. Let s be b(3). Let q(r) = r**3 - 4*r**2 + 5*r - 2. Calculate the remainder when q(s) is divided by 10.
8
Let s = 366 - 123. What is the remainder when s is divided by 41?
38
Let f(g) = 38*g**2 - g. Let b be f(-1). Let x = b + -26. What is the remainder when 50 is divided by x?
11
Let j(r) be the first derivative of 2*r**3/3 - 3*r + 4. Calculate the remainder when j(-4) is divided by 15.
14
Suppose -10 = -5*l - 0. Let y be (-175)/(-55) - l/11. Let i(x) = 3*x**2 + 3*x - 2. Calculate the remainder when i(y) is divided by 12.
10
Suppose -3*u + 0*u = -264. Calculate the remainder when u is divided by 15.
13
Let o be ((-90)/(-8))/(4/48). Suppose 3*y - 15 = 0, 4*y + 31 - o = -4*u. Calculate the remainder when u is divided by 8.
5
Let g(w) = -4*w + 6. Suppose -2*i = 3*i + 2*k - 74, -63 = -3*i + 5*k. What is the remainder when g(-6) is divided by i?
14
Let a = -150 + 156. Calculate the remainder when 17 is divided by a.
5
Suppose 4*i - 1 - 11 = 0. What is the remainder when 22 is divided by -18*((-5)/i + 1)?
10
Suppose i - 12 = -2*n, 4*n = -n + 5*i + 15. Suppose -5*f - 45 = -0*f. Calculate the remainder when n is divided by (-29)/(-9) + 2/f.
2
Let k = 3 - -37. Suppose 0 = -3*f - 4*p + 9, 3*f = -f + 4*p + k. Let n = -16 + 27. What is the remainder when n is divided by f?
4
Let l = -9 + 22. Calculate the remainder when l is divided by 5.
3
Calculate the remainder when 9 is divided by (64/24)/((-2)/(-3)).
1
Suppose 3*t - 28 = -t. Calculate the remainder when 12 is divided by t.
5
Suppose 3*m + 3*z + 8 = 80, -2*z = -2*m + 64. Suppose 0 = -4*j - m + 8, o - 9 = j. Suppose -10*g + 50 = -5*g. What is the remainder when g is divided by o?
2
Let r = -15 - -30. Calculate the remainder when 392/(-21)*1/(-2)*3 is divided by r.
13
Let j(c) = c**2 + 15*c + 6. Let p be j(-14). Let o = p + 10. What is the remainder when (-4)/14 + 30/7 is divided by o?
0
Let b be 3/12 - (-42)/(-8). Let c = b - -10. Suppose 7*k = 2*k + 70. What is the remainder when k is divided by c?
4
Let x = -14 - -9. What is the remainder when 5 is divided by (-3)/((-1)/(-4 - x))?
2
Suppose f + 1 = -4*y + 11, -2 = y - 2*f. Suppose -5*m + 25 = -5*p, 11 = 5*m - y*p - 17. Let u = -38 - -48. Calculate the remainder when u is divided by m.
4
Suppose 0 = 2*l - l - 5*w - 8, 3*l = -3*w + 6. Suppose -87 - 3 = -3*u. Suppose 5*b - 5 = u. Calculate the remainder when b is divided by l.
1
Let l(a) = 4*a + 3. Let m be l(4). Suppose -5*d = -4*d - m. What is the remainder when 74 is divided by d?
17
Let h(b) = -b**2 - 14*b + 7. What is the remainder when 11 is divided by h(-14)?
4
Suppose -3*x - 2*x = -75. Calculate the remainder when x is divided by 9.
6
Let s = -26 - -51. Let f = 13 - 6. What is the remainder when s is divided by f?
4
Let o(b) = -4*b - 4. Calculate the remainder when 11 is divided by o(-2).
3
Let t(g) = -g + 13. Let w = 1 + 2. Let k = 7 + w. Calculate the remainder when k is divided by t(7).
4
Let h = -1 - 4. Let a = 13 + h. What is the remainder when (3/(-2))/(3/(-44)) is divided by a?
6
Suppose -t - 5*f = -157, 2*f + f - 696 = -4*t. Suppose -3*c - 308 = -2*q, 3*c + 2*q + 469 = t. Calculate the remainder when 32 is divided by (-1)/(-3) + c/(-6).
15
Let a(s) = 2*s - 15. What is the remainder when 22 is divided by a(14)?
9
Let n(d) = 5*d - 20. Let i be n(12). Let j = i + -24. What is the remainder when 63 is divided by j?
15
Let f = -360 + 509. Calculate the remainder when f is divided by 38.
35
Suppose 2 - 5 = 3*y, 826 = 3*i + 5*y. Calculate the remainder when i is divided by 20.
17
Let b = 1 + 2. Calculate the remainder when (-9)/(-1) - (-5 + b) is divided by 4.
3
Suppose -10*n + 41 = -9*n. Calculate the remainder when n is divided by 14.
13
Let x(k) = -k**3 + 7. Let r(u) = -u + 2. Let m be r(0). Suppose m*q + 0*q = 0. What is the remainder when 12 is divided by x(q)?
5
Suppose -42 = -3*o + 6. Let j(b) = -4*b + b**2 + 0*b + 0*b - 2. Calculate the remainder when j(-4) is divided by o.
14
Let q be 18 -