. What is the remainder when 17 is divided by j?
8
Let p = -13 - -5. Let w be -1 - (6 + 1/(-1)). Calculate the remainder when (p/w)/((-4)/(-102)) is divided by 12.
10
Let x(o) = o**3 - 3*o**2 - 4*o + 4. Let w be x(4). Suppose w*j - 2*j - 44 = 0. Calculate the remainder when j is divided by 12.
10
Let k(f) = -2*f + 5. Let d be k(-6). Suppose -3*y + 19 = -d. Suppose h = -3*h + y. Calculate the remainder when 4 is divided by h.
1
Let v = 17 - 8. Let f(s) = 4*s + 5. Let b be f(5). Suppose -b = -x - 4*d, 0 = -3*x - 0*d + 5*d - 10. What is the remainder when v is divided by x?
4
Suppose -p + 1 = -0*p. Suppose -1 = 3*i + 5*r, 2*i + 2*r - 3 = -p. Let c(j) = 8*j + 2. Calculate the remainder when c(i) is divided by 9.
8
Suppose 11 - 1 = 5*j. Suppose -i + 5*u + 2 = -18, 128 = 3*i + j*u. Calculate the remainder when i is divided by 21.
19
Suppose 280 = 5*w - 0*w. Suppose 0 = -4*l - 5*k + 8 + 50, -3*l + 2*k + 32 = 0. What is the remainder when w is divided by l?
8
Let i(z) = z**2 - 6*z - 2. Let o be i(7). Suppose 5*p = -2*x + 55, -3*x = 4*p - o*x - 26. Calculate the remainder when 16 is divided by p.
7
Let a = -38 - -48. What is the remainder when 27 is divided by a?
7
Let z be 28/(-10) - (-7)/(-35). Let l = 2 + z. Calculate the remainder when ((-2)/l - -18) + 1 is divided by 8.
5
Suppose 0 = -5*b + 4*u + 51 + 49, b = -2*u + 6. Suppose -4*i + 12 = 0, x - 4*i + 22 = 55. What is the remainder when x is divided by b?
13
Let n be (9/3 - 2)*-1. What is the remainder when (54/8)/(n/(-4)) is divided by 15?
12
Let q(n) = 1 - 4*n - 5*n + 4*n + 6*n. What is the remainder when q(6) is divided by 4?
3
Let m(f) = -10*f**2 + 1 - 5*f**3 + 3*f + 10*f + 4*f**3 - 5*f. What is the remainder when m(-11) is divided by 12?
10
Let g(q) = q**2 + 9*q - 10. What is the remainder when 32 is divided by g(-11)?
8
Let d be -26 - 1 - (6 - 7). Let j = d + 48. Suppose -4*u + 2*u + 128 = 0. Calculate the remainder when u is divided by j.
20
Let q = 43 + -29. What is the remainder when 69 is divided by q?
13
Let r(s) = s**3 + 12*s**2 + 11*s + 13. What is the remainder when 50 is divided by r(-11)?
11
Let v(d) = 4*d - 1. What is the remainder when 75/11 - 6/(-33) is divided by v(1)?
1
Let w(a) = -a**2 + 5*a - 3. Let f be w(3). Suppose 4*k + 2 = -5*c - f, -4*k = c - 15. Calculate the remainder when k is divided by 3.
2
Let y be (2/4)/(7/84). Suppose -7*k + 52 = -3*k. What is the remainder when y/4 - 355/(-10) is divided by k?
11
What is the remainder when 43 is divided by 11 + (1 - 2 - -5)?
13
Let x(d) = d**3 + 5*d**2 - 4*d. Let p(i) = -2*i + 1. Let j be p(3). Calculate the remainder when x(j) is divided by 11.
9
Calculate the remainder when (-915)/(-10)*-2*2/(-6) is divided by 21.
19
Suppose -7*d = -21 - 98. What is the remainder when 50 is divided by d?
16
Let j be (-2)/(-4) + (-2)/4. Suppose 6*g - g = j. Let t = 7 - g. What is the remainder when t is divided by 3?
1
Let n = 78 - 54. Calculate the remainder when 141 is divided by n.
21
Let g(h) be the third derivative of -1/24*h**4 - 3*h**2 + 1/60*h**5 + 4/3*h**3 + 0 + 0*h. What is the remainder when 14 is divided by g(0)?
6
What is the remainder when 16 is divided by (-2 + 3)*(-2 + 3) - -4?
1
Suppose 4*n - 2*j = 2*n + 172, -3*n + 263 = 2*j. What is the remainder when n is divided by 31?
25
Let s(j) = -j**2 + 20*j - 30. Calculate the remainder when s(12) is divided by 17.
15
Suppose 0 = 2*w + 3*f - 0*f + 7, -5*f = -w + 3. Let k(x) = -2*x**3 - x**2 + 2*x - 1. Calculate the remainder when k(w) is divided by 5.
2
Let z = 245 + -187. Let l be 2*-1*3/2. What is the remainder when z is divided by (20/3)/((-1)/l)?
18
Let o = -5 + 6. Calculate the remainder when -4 + o + 4 - -16 is divided by ((-2)/5)/(1/(-15)).
5
Suppose 0*h = -5*h + 45. What is the remainder when h is divided by -2 - (-14)/2 - 0?
4
Let l be ((-2)/(-4))/(4/16). Suppose -n - 2 = -l*n. Suppose 0*i + n*i = 28. Calculate the remainder when i is divided by 8.
6
Suppose 3*z + 555 = -8*c + 12*c, 3*z = -5*c + 714. What is the remainder when c is divided by 18?
15
Suppose -72 = -0*q - 4*q. Let b(c) = 3*c - 8. What is the remainder when q is divided by b(6)?
8
Let n(i) = i**2 - 2*i + 12. What is the remainder when n(6) is divided by 19?
17
Suppose 3*d = 5*d + 6. Let h(c) = -2*c + 1. Let q(b) = 11*b + 19. What is the remainder when q(0) is divided by h(d)?
5
Let o(n) = -2*n - 1. Let w be o(-5). Suppose 4*v + w = p, -v + 6*v = 4*p - 25. Let t = 52 + -48. What is the remainder when p is divided by t?
1
Let b be 2/11 + (-1644)/(-33). Suppose m + 4*m - b = 0. Calculate the remainder when m is divided by (-15)/(-4) + (-2)/(-8).
2
Suppose 2*m - 6 = 2*d, -2*m - 30 = -4*m - 4*d. Suppose -2*t + 0*t + 10 = 0. Calculate the remainder when m is divided by t.
2
Let w = -50 - -33. Let n = w + 31. Suppose -4*q - n = -q + 5*j, 3*q + j = 2. What is the remainder when 5 is divided by q?
1
Suppose 11*u - 1924 = -2*u. What is the remainder when u is divided by 30?
28
Let n(l) = -l + 11. Let k be n(6). Suppose 9 = 2*q - k. Calculate the remainder when 49/4 - (-19)/(-76) is divided by q.
5
Let i(u) = 5*u + 2. Let h(n) = -2*n. Let k be h(-1). Calculate the remainder when 23 is divided by i(k).
11
Suppose 5*k + 4*t - 403 = -80, 61 = k - t. Calculate the remainder when k is divided by 23.
17
Suppose f = 2*v + 33, f - 8 = 3*v + 25. Calculate the remainder when f is divided by 17.
16
Let l = 71 - 50. Calculate the remainder when l is divided by 6.
3
Let a(g) = 4*g**2. Let r be a(1). Suppose -r = -0*x - 2*x. Suppose 1 - 6 = -u. What is the remainder when u is divided by x?
1
Suppose 12 = -3*f + 7*f, -2*u = 4*f - 54. Let o = u - 8. What is the remainder when 25 is divided by o?
12
Let q = 12 + -7. What is the remainder when 9 is divided by q?
4
Let b = -127 - -169. Let t(s) = -s**3 - 2*s**2 - 5*s - 2. What is the remainder when b is divided by t(-3)?
20
Suppose 0 = -21*n + 25*n - 56. Calculate the remainder when 26 is divided by n.
12
Let m be 4/5*(4 - -51). Suppose -m = -5*g + 56. What is the remainder when 39 is divided by g?
19
Suppose -3*u - o + 34 = 0, -3*u + 4 + 15 = 4*o. Calculate the remainder when 24 is divided by u.
11
Let k be 3/(-12) - (-17)/4. Suppose 3*h = -k*q + 42, 0 = h + h + 5*q - 35. Calculate the remainder when (-7)/63 - (-4)/(-18)*-131 is divided by h.
9
Let w = -334 - -552. Calculate the remainder when w is divided by 44.
42
Let c = 35 + -27. What is the remainder when c is divided by 5?
3
Let i(q) = q**2 + 9. Calculate the remainder when i(-6) is divided by 18.
9
Let t = 33 - -12. Calculate the remainder when t is divided by 12.
9
Let f = 2 - -27. What is the remainder when 84 is divided by f?
26
Suppose 0 = 5*a + 25 - 0. Calculate the remainder when 28 is divided by 30*2/(-1 - a).
13
Suppose 3*q - 4*q + 17 = 0. Suppose -2*x = 3*t - q, -5*x + 49 = 4*t - 4. Calculate the remainder when 36 is divided by x.
10
Suppose -43*u + 34 = -41*u. What is the remainder when 25 is divided by u?
8
Suppose 5*h - 3*h - 34 = 0. Let s = 36 - h. What is the remainder when s is divided by 11?
8
Suppose 3*v + 2 - 14 = 0. Suppose 2*n = -v*g + 7 + 5, 3*n = 2*g + 2. Let k(m) = 4*m. Calculate the remainder when 14 is divided by k(g).
6
Let c(o) = -o**2 + 12*o + 5. Calculate the remainder when c(9) is divided by 12.
8
Let k = 63 + -34. What is the remainder when 57 is divided by k?
28
Let t(z) = -z + 26. Let d(m) = 2*m - 51. Let a(i) = -6*d(i) - 11*t(i). What is the remainder when 15 is divided by a(16)?
3
Let b be 0 + (2 - 2)/2. Suppose -5*t + 2*o + 2*o + 36 = b, 2*t = 4*o + 12. Suppose 2*h - 8 - 38 = 0. Calculate the remainder when h is divided by t.
7
Suppose 8 + 12 = -4*q. Let m(u) = -5*u + 6. Let w(f) = 6*f - 7. Let v(l) = 5*m(l) + 4*w(l). Calculate the remainder when 20 is divided by v(q).
6
What is the remainder when (-620)/(-22) - (-4)/(-22) is divided by 8?
4
Let w(b) = 2*b**2 + 5*b - 3. What is the remainder when w(5) is divided by 19?
15
Let n(c) = -c**3 - c**2 - 3*c - 2. Let t be 10/(-4)*(-8)/(-10). Suppose -81 = -4*h + 7. Calculate the remainder when h is divided by n(t).
6
Let f(m) = 2*m**2. Let h(i) = i**2. Let v(c) = 3*f(c) - 7*h(c). Let p be v(0). Let k = p + 4. What is the remainder when k is divided by 2?
0
Let d = -15 + 11. Let a(l) = -9*l + 4. Let q be a(-2). Let o = q - d. Calculate the remainder 