 -k - j + 17 = 0, -3*k - 1 + 62 = 5*j. Calculate the remainder when 560/12 + 1 + 4/(-6) is divided by k.
11
Let y(i) = i**3 + 10*i**2 - 4*i + 15. What is the remainder when y(-10) is divided by (0 - -1) + (0 - -18)?
17
Let v = -18 - -30. Suppose c = 44 - v. What is the remainder when c is divided by 11?
10
Let q(b) = -b**2 + 11*b - 18. What is the remainder when 46 is divided by q(5)?
10
Suppose -6*b + 44 = -2*b. Suppose 5*j = 44 + b. Suppose 0 = -t - 15 + 47. Calculate the remainder when t is divided by j.
10
Let z be (2/3)/((-3)/(-18)). Let p be 1/4 + (-38)/(-8). Let b = p - z. Calculate the remainder when 1 is divided by b.
0
Let d(l) = -l**3 + 4*l**2 + 2*l - 2. Calculate the remainder when d(3) is divided by 7.
6
Let r(m) = -m**3 - 15*m**2 + 15*m - 12. Let o(a) = a**3 + 2*a**2 - 2*a - 1. Let k be o(-3). Calculate the remainder when (-1)/k + 70/8 is divided by r(-16).
1
Suppose -24 = 3*n - 6*n. Let x = -4 + n. Calculate the remainder when 14 is divided by x.
2
Suppose 0 = 3*u + 3*u - 42. Calculate the remainder when 34 is divided by u.
6
Suppose 0 = 5*v - w - 66, 5*v = 2*w - 6*w + 61. What is the remainder when 25 is divided by v?
12
Let r be 7*((0 - -4) + 0). Let l = r + -13. What is the remainder when l is divided by 4?
3
Suppose -5*q + 5*h + 1 = -29, q = 4*h - 9. What is the remainder when 30 is divided by q?
8
Calculate the remainder when 36 is divided by (-106)/(-8) + -3*1/12.
10
Let z = -33 + 64. Calculate the remainder when z is divided by 11.
9
Let k = -45 + 25. Let w = 37 + k. Let r(c) = 2*c**2 + 5*c - 2. What is the remainder when w is divided by r(1)?
2
Let p(g) = g + 6. Let d be p(-6). Suppose -4*a + 12 + 40 = d. What is the remainder when 37 is divided by a?
11
Let o = 0 + 43. What is the remainder when o is divided by 16?
11
Let s be (-2)/(-4) + (-76)/8. Suppose 0 = 3*k - 0*k - 39. Let c = k + s. Calculate the remainder when c is divided by 2.
0
Suppose -4 = 3*g + 2. Let k(l) be the third derivative of -17*l**4/24 - l**3/2 - 2*l**2. What is the remainder when k(g) is divided by 11?
9
Let c(n) = 2*n + 21 - 3*n - 2*n**2 + n**2. Calculate the remainder when c(0) is divided by 6.
3
Suppose 0 = 3*x - u - 25, 5*u - 29 + 4 = 0. Let w = x + -4. Suppose 0 = -2*t + 32 - 10. What is the remainder when t is divided by w?
5
What is the remainder when 44 is divided by 4*(-4)/8 + 17?
14
Let c(g) = -g**2 - 10*g - 5. Let q(o) = -o - 7. Let j be q(0). What is the remainder when 61 is divided by c(j)?
13
Suppose q - 21 = -4*w + 28, 5*q - 3*w - 291 = 0. Let b = 9 + 6. Calculate the remainder when q is divided by b.
12
Suppose -4*a - 10 = a, 3*a = 2*p - 12. Let f = p - -44. What is the remainder when f is divided by 21 + -2 - 1 - 2?
15
Let x(l) = 3*l - 13. What is the remainder when x(5) is divided by 2?
0
Let i be ((-6)/10)/(5/25). Calculate the remainder when 23 is divided by (-2*6)/(i - -1).
5
Let u = -5 - -7. Suppose 0 = -u*d - 8, -5*d + 25 = -5*b + 85. Calculate the remainder when (92/8)/(1/2) is divided by b.
7
Suppose -2*t + c + 62 = 0, 2*t - 5*c - 49 = t. Suppose 2*v - v - 20 = -2*q, -10 = -2*v + 2*q. Let d = v + 0. What is the remainder when t is divided by d?
9
Let r = 39 + -26. What is the remainder when r is divided by 4?
1
Suppose 0 = 5*i - 119 - 21. What is the remainder when i is divided by 15?
13
Let b(j) = 8*j**2 + 6*j - 7. Let s(r) = -7*r**2 - 6*r + 6. Let k(l) = 6*b(l) + 7*s(l). What is the remainder when 14 is divided by k(-5)?
4
Let d(p) = p - 7. Let g be d(9). Suppose g*f + 21 = 113. What is the remainder when f is divided by 12?
10
Let n = 3 - -14. Calculate the remainder when 31 is divided by n.
14
Let q = 11 + -6. Let x(n) = -n**2 + 4*n + 7. What is the remainder when x(q) is divided by 2*1/2*1?
0
Suppose 0*x + 4*x = 56. Suppose -h = -0 - 5. Calculate the remainder when x is divided by h.
4
Let x = 10 + -8. Let q(m) = -1 + 1 + m**x + 5*m**2. What is the remainder when q(1) is divided by 4?
2
Suppose -11*n - 460 = -15*n. What is the remainder when n is divided by 39?
37
Let u(t) = t**3 - 6*t**2 - 6*t + 5. Let w be u(7). Suppose 4*z = 0, -n = -4*n - 3*z + 21. Calculate the remainder when (16/w)/(4/60) is divided by n.
6
Let z(v) = v**3 - 3*v**2 - 6*v. Suppose 0 = d - 5 - 0. What is the remainder when z(d) is divided by 7?
6
Suppose -3*t + 0 = 27. Let l = t + 14. Suppose 0 = 4*p + y - 48, -3*y + 73 = l*p + 20. What is the remainder when 37 is divided by p?
11
Suppose -120 = -2*t - 4*t. What is the remainder when 52 is divided by t?
12
Suppose 0 = 2*f - 1 + 3, 0 = 3*l - 2*f - 11. Suppose -k + 13 = 3. Calculate the remainder when k is divided by l.
1
Suppose 0 = -0*p - 3*p - 3*g - 69, 0 = 5*p - 5*g + 65. What is the remainder when 43 is divided by 2/(-3) - 210/p?
10
Let n(y) = 7*y - 1. What is the remainder when n(3) is divided by 7?
6
Suppose 2*s - s = 0. Suppose -4*g - 4*z + s*z + 52 = 0, 2*z = -g + 16. What is the remainder when 37 is divided by g?
7
Let k(q) = 2*q**2 - 6*q + 2. Let f(z) = 5*z**2 - 19*z + 6. Let t(o) = 3*f(o) - 8*k(o). What is the remainder when 19 is divided by t(-8)?
9
Calculate the remainder when 2/6 + (-1368)/(-27) is divided by 26.
25
Let z = -1 - -6. Let t = z - -10. What is the remainder when 44 is divided by t?
14
Let o be (3/(-2))/(9/(-12)). What is the remainder when 41 is divided by (o + 2)*21/4?
20
Let x be (-3)/9*(3 - 0). What is the remainder when 8 is divided by ((-5)/x)/(-2 + 3)?
3
Let y be 0 + (0 + 9)/3. Suppose 11 = -n - y*v, 3*v - 1 = -3*n - 4. Suppose -a = -n*a + 15. What is the remainder when 8 is divided by a?
3
Let u = 30 + -14. Calculate the remainder when 20 is divided by u.
4
Calculate the remainder when ((-63)/6)/(6/(-8)) is divided by 8.
6
Let a be (3/4)/(5/(-40)). Let j = 13 - a. What is the remainder when 73 is divided by j?
16
Suppose 4*j - 17 - 35 = 0. Let r(c) = c**3 + 4*c**2 - 7*c - 2. Calculate the remainder when j is divided by r(-5).
5
Suppose -f + 9 - 1 = 0. What is the remainder when f is divided by 5?
3
Let d = -60 - -68. What is the remainder when d is divided by 5?
3
Suppose -2*h + 9 = h. Suppose 4*w - h = 13. Suppose l = w*l - 63. Calculate the remainder when 40 is divided by l.
19
Let i(c) = -c**3 - 3*c**2 - 4*c. Let k = -647 + 680. What is the remainder when k is divided by i(-3)?
9
Let q(a) = -a**3 + 13*a**2 + 15*a - 1. Calculate the remainder when 50 is divided by q(14).
11
Suppose 4*f + 145 = -f. Let h = 5 - f. Calculate the remainder when h is divided by 18.
16
Let x(v) = -v**3 + 5*v**2 - v + 4. Let w(c) = 3*c**3 + c**2 - 2*c + 2. Let t be w(2). Suppose 34 = 2*b - t. Calculate the remainder when b is divided by x(4).
14
Let p = 3 + 11. Calculate the remainder when p is divided by 5.
4
Let w(t) = -2*t**2 - 16*t + 31. Let v(a) = a + 8. Let q be v(-6). Let r(o) = 7*o**2 - 2*o + 1. Calculate the remainder when r(q) is divided by w(-9).
12
What is the remainder when (4/(-8))/(1/(-46)) is divided by 5?
3
Let y(p) = -p**2 + 10. Let q = 5 - 5. What is the remainder when 8/(((-4)/14)/(-1)) is divided by y(q)?
8
Let b(x) = x + 10. Let i be b(-10). Let p = 3 + i. What is the remainder when p is divided by 2?
1
Suppose v - 135 = 4*q - q, 460 = 4*v + 4*q. Suppose a + v = 4*a. Calculate the remainder when a is divided by 14.
12
Let h(j) = -3*j + 1. Let a(p) = -19*p**3 - 1. What is the remainder when a(-1) is divided by h(-3)?
8
Let h = 135 + -64. Calculate the remainder when h is divided by 22.
5
Let v = 130 + -69. Calculate the remainder when v is divided by 17.
10
Let q be ((-2)/2 - 0)*-3. Suppose -q = 5*f - 23. Let r = -3 + 13. Calculate the remainder when r is divided by f.
2
Let v(l) = l. Let d(o) = -30*o**3 - o**2 - 2*o - 1. Let a = 9 - 13. Let x(g) = a*v(g) - d(g). What is the remainder when x(1) is divided by 16?
14
Suppose -4*k + 9 = 1. What is the remainder when (-10)/k*18/(-30) is divided by 2?
1
Let u be -1*(-13)/(1/1). Suppose 0 = s - r + u - 59, 0 = 3*s + r - 146. Calculate the remainder when s is divided by 25.
23
Let u(h) = h**2 - 7*h + 8. Let t be u(6). Suppose t*y - y - 67 = 0. Calculate the remainder when y is divided by 23.
21
Calculate the remainder when (-2)/6*-3*(-310)/(-5) is divided by 32.
30
Let k = 33 - 1. What is the remainder when k is divided by 9?
5
Suppose -3*w + 4*w - 28 = 0. Let x(g) = g - 1. Let z(y) = 4*y. Let m(v) = -5*x(v) + z(v). 