et i(n) = 4*n**3 - 3*n**2 + n - 2. What is the remainder when 31 is divided by i(2)?
11
Let l(j) = j**2 - 37*j + 81. Calculate the remainder when 43 is divided by l(35).
10
Let m = 11 + -18. Let a(v) = v**3 + 6*v**2 - 6*v + 9. Let k be a(m). Suppose 0*i - k*i + 8 = 0. Calculate the remainder when 6 is divided by i.
2
What is the remainder when 9/(18/(-4)) - (-269)/1 is divided by 27?
24
Let g(u) = u**3 - 4*u**2 + 3*u + 2. Let j be g(3). What is the remainder when (-1 - j) + 1 - -49 is divided by 12?
11
Let r(q) = q**2 - 5*q + 2. Let t = 4 + 0. Let d be r(t). Calculate the remainder when 28 is divided by (0 - (-3 + -9)) + d.
8
Let f be ((-6)/4)/(-1)*26. Let s be (-4)/(-14) - 14/49. Suppose -5*b - f = -4*x, -2*x - 3*x + 4*b + 42 = s. What is the remainder when 17 is divided by x?
5
Suppose -5*y - 3*n = 20 - 5, 0 = 3*y + n + 13. What is the remainder when (14/(-6))/(2/y) is divided by 3?
1
Suppose v - 5*v = -40. Suppose -3*r + 2*r = 1. Let d = r + v. Calculate the remainder when 17 is divided by d.
8
Calculate the remainder when 1 + 2 + -1 - -20 is divided by 6.
4
What is the remainder when (243/3)/(12/8) is divided by 19?
16
Let r = -21 + 29. Let b(i) = i**2 + 5*i - 3. Let o be (-3)/(-6) + (-39)/6. What is the remainder when r is divided by b(o)?
2
Let t(r) = 22*r. What is the remainder when t(2) is divided by 15?
14
Let r(o) = -8*o - 6. Suppose 98 = -0*g - 2*g. What is the remainder when r(-4) is divided by (-427)/g + 4/14?
8
Suppose 39 = 2*x + 5*g, -5*x - g + 81 = -51. Calculate the remainder when 17 is divided by x/(-2)*(-2)/3.
8
What is the remainder when (-1)/4 + 582/24 is divided by 13?
11
Suppose -14*s + 29 = -13*s. Calculate the remainder when s is divided by ((-12)/9)/((-2)/15).
9
Suppose -2*d = -0*d - 5*x - 76, -5*d = 2*x - 161. What is the remainder when d is divided by 12?
9
Suppose 79 = 2*r - 3*p, p + 72 + 71 = 4*r. Suppose -3*a + 5*b = -r, 4*a + 0*b - b = 41. Calculate the remainder when 17 is divided by a.
7
Let q = 15 - -6. Let r be 12/(-3) - (1 + -4). What is the remainder when 1/r - 63/(-1) is divided by q?
20
Let r(h) = h + 1. Let n(s) = 1 + 5*s + 2 + 1 - 2. Let p(t) = n(t) - 3*r(t). What is the remainder when p(9) is divided by 9?
8
Let o = -27 - -54. Suppose -o - 169 = -4*c. What is the remainder when c is divided by 17?
15
Let j = 98 + -48. Suppose 0 = 3*u + 2*u - j. Let g = u - 4. What is the remainder when 16 is divided by g?
4
Let g be (-2 + 1)/((-3)/15). Suppose -46 = -g*w + 19. What is the remainder when 51 is divided by w?
12
Let m = 38 - 23. Suppose -l - 2*b = 4*l - m, 25 = 5*b. Calculate the remainder when 3 is divided by l.
0
Let j = 12 - -23. Calculate the remainder when j is divided by 12.
11
Let d(p) = 10*p - 19. Calculate the remainder when d(7) is divided by 19.
13
Let w = -15 + 21. Suppose f = -f, -4*u = -f. Suppose -4*m + 8 = -u*m, -3*o - m = -32. Calculate the remainder when o is divided by w.
4
Suppose 0 = y + y - v - 20, 4*y - 3*v = 42. Suppose n + 105 = 4*n. What is the remainder when n is divided by y?
8
Let g(x) = x**3 + 7*x**2 + 6*x + 6. Calculate the remainder when 27 is divided by g(-6).
3
Let l = 269 + -162. Calculate the remainder when l is divided by 9.
8
Let y(i) = i**3 - 6*i - 7. Calculate the remainder when 164 is divided by y(4).
32
Let a = 32 - 10. What is the remainder when a is divided by (2 + 1 - 2) + 7?
6
Let b(p) = p**3 - 6*p**2 + 8*p - 4. Calculate the remainder when (-8)/(-6) + 267/9 is divided by b(5).
9
Let n = -13 + 18. Suppose g = n*g - 64. Calculate the remainder when 31 is divided by g.
15
Suppose 5*o + 25 = 0, 2*r + 2*r - 4*o - 60 = 0. What is the remainder when (7 - 0)/(2/8) is divided by r?
8
Calculate the remainder when (15/(-45))/((-1)/189) is divided by 16.
15
Let d(n) = -n + 88. Let k be d(0). Suppose -w + 140 = 3*z + 8, 0 = -4*w + 2*z + 486. Let b = w - k. What is the remainder when b is divided by 12?
11
Suppose -x - 52 = 5*p - 147, 3*p + x = 59. What is the remainder when 52 is divided by p?
16
Let a(g) = -34*g + 3. Let x be a(-3). Suppose 110 + x = 5*w. What is the remainder when w is divided by 11?
10
Let x(h) = -h**3 + 5*h**2 + 6*h + 8. Let f be (-5)/(5/3 - 2). Suppose 10 + f = 5*o. What is the remainder when x(6) is divided by o?
3
Suppose -2*v - 2*v - 68 = -4*t, 0 = 4*t + 4*v - 36. What is the remainder when t is divided by 4?
1
Suppose 0 = -5*a + 38 + 12. Calculate the remainder when 27 is divided by a.
7
What is the remainder when 27 is divided by 1 - (-11 - (3 + -1))?
13
Suppose -3*s = -2 + 5, -2*l + 22 = -4*s. Calculate the remainder when 23 is divided by l.
5
Let r = -31 + 54. What is the remainder when 90 is divided by r?
21
Let g = 54 - 46. Let v be (-1)/3 - (-13)/3. Suppose c = v*m - 60, -5*m = -2*m + 5*c - 22. Calculate the remainder when m is divided by g.
6
Calculate the remainder when 13 is divided by (2/3)/(1/6).
1
Let y = -12 + 17. Suppose -4*u = -5*i + 41, -4*i - y*u = -0*i. Suppose -4*w + 4*s = 0, -5*w - i*s + 27 = -s. What is the remainder when 8 is divided by w?
2
Let r(b) = -366*b + 3. Calculate the remainder when r(-1) is divided by 74.
73
Suppose -2*k + 5*h = -6, 4*h - 3 = -0*k - k. Calculate the remainder when k is divided by 2.
1
Let s(b) = -3 + 2*b + 5 + b**2 - 3. Suppose 3*y - y - 8 = 0. What is the remainder when s(y) is divided by 8?
7
Suppose 5*r = -5*f + 30, 5*r = 2*f + r - 30. What is the remainder when 17 is divided by f?
8
Suppose -3*g + 12 = -4*g. Let j = g + 21. Calculate the remainder when j is divided by ((-68)/(-102))/((-4)/(-30)).
4
Suppose -3*o + 3*i = -0*i + 510, -o = 4*i + 185. Calculate the remainder when o/(-3) + 12/(-18) is divided by 15.
12
Suppose -1 = 3*k - 4. Let a = 355 - 346. Calculate the remainder when a is divided by -1 - k*-1 - -5.
4
Suppose 3*j = -0*j + 141. Suppose -4*a + 0*a + 34 = -y, y - j = -5*a. What is the remainder when 15 is divided by a?
6
Let a(p) = -26*p + 2. Calculate the remainder when a(-2) is divided by 28.
26
Let n = -11 - -20. What is the remainder when 13 is divided by 50/6 + (-3)/n?
5
Calculate the remainder when -2 - -6 - (-11 - -2) is divided by (-2)/(-6) + 34/6.
1
Suppose -12 = 5*d - 2. What is the remainder when 7 is divided by (6/4)/(d/(-4))?
1
Suppose 68 = 3*k - 130. Suppose 4*c - 6*g + g = 78, g = -c + 15. Calculate the remainder when k is divided by c.
15
Let l = 11 + 17. What is the remainder when l is divided by 16?
12
Let f(m) = -m**2 + 4*m + 5. Let a be f(4). Suppose o - 5*z = 11, 16 = a*o - 2*z - 85. Suppose 2*s - o = s. What is the remainder when 41 is divided by s?
20
Let i = 15 + 2. Calculate the remainder when i is divided by 6*-1*6/(-4).
8
Suppose -10 - 8 = -3*f. Calculate the remainder when 38 is divided by (-13)/(-2*3/f).
12
Suppose -2*h - 198 = -8*h. Let t be 20/6*(-18)/(-15). Suppose -4*p + 76 = 2*w, 3*p + 0*w - 35 = t*w. Calculate the remainder when h is divided by p.
16
What is the remainder when 4/(-14) - (-800)/56 is divided by 8?
6
Let i be -2 + 0/(-2 - -1). Let d be 4 + -5 - (-1 + i). Suppose -d*g - 9 = -23. What is the remainder when g is divided by 3?
1
Suppose 4 = -x - 3*a + 3, 2*x - a = 26. Suppose -17 = -o + 2*j + x, j = 5. Calculate the remainder when o is divided by 13.
12
Let b be (-4)/22 - (-96)/44. Suppose u - 2*y - 188 = -2*u, 0 = b*u - 4*y - 128. Calculate the remainder when u is divided by 21.
20
Let m be (-1)/4 + (-89)/(-4). Let b(r) = 3*r**3 + 2*r**2 - 2*r + 1. What is the remainder when (m/4)/((-1)/(-2)) is divided by b(1)?
3
Suppose 4*q - 43 = -2*n + 73, 5*n = -3*q + 262. What is the remainder when n is divided by 26?
24
Calculate the remainder when 23 is divided by 273/35 - (-3)/15.
7
Suppose x - 54 = -4*i - x, x + 21 = 2*i. What is the remainder when 33 is divided by i?
9
Suppose 6*d = -d + 63. What is the remainder when d is divided by 2?
1
Let x = 32 + -18. Calculate the remainder when x is divided by 5.
4
Let f(y) = 9*y**2 - 9*y + 25. Calculate the remainder when f(4) is divided by 27.
25
Let p = -21 - -583. Suppose 5*h = -5*x + 535, 0 = 3*h + 2*h - 4*x - p. Let g = -60 + h. What is the remainder when g is divided by 17?
16
Let m(z) = z + 7. Let l be m(-6). Let g(r) = -r - 7*r**3 + r**3 + l + 5*r**3. Calculate the remainder when 21 is divided by g(-2).
10
Let l = 24 + -41. Let n be -1*(1 + l - -2). Let k = 27 - n. Calculate the remainde