(-1 - -18) is divided by 1 - 3 - (-1 + -6)?
2
Let i(y) be the third derivative of -y**5/60 + y**4/2 - 2*y**3/3 + y**2. Let a = -22 - -31. Calculate the remainder when 90 is divided by i(a).
21
Let c = -3 + 20. Calculate the remainder when (-2)/(-7) + (-2290)/(-70) is divided by c.
16
Let r(j) = -j**2 + 12*j. Calculate the remainder when (-229)/(-4) - (-27)/36 is divided by r(10).
18
Suppose 3*f - 5*o - 7 = 0, f = -f - 4*o + 12. Suppose 2*u - 22 = -4*z, 16 = -5*u + 5*z + 41. Calculate the remainder when u is divided by f.
3
Let f(o) = -o**3 - 16*o**2 - 27*o + 18. Let n(a) = a**2 - 3*a - 7. What is the remainder when n(6) is divided by f(-14)?
3
Let v(t) = t**2 + t + 43. Suppose 2*u - 17 = 1. What is the remainder when v(0) is divided by u?
7
Suppose -13 = -l + 24. Suppose 0*b + 5*b - 64 = -i, -4*b + 5*i + 57 = 0. What is the remainder when l is divided by b?
11
Let a = 80 - 67. What is the remainder when 22 is divided by a?
9
Suppose 0 = -l + 2*y + 6, -l - 3*y + 18 = 7. Calculate the remainder when 30 is divided by l.
6
Let i = 12 + 5. Calculate the remainder when 1 + (2 - 2) + 30 is divided by i.
14
Let z = -17 + 32. Calculate the remainder when 529/9 + (-2)/(-9) is divided by z.
14
Let v = -33 + 45. What is the remainder when 56 is divided by v?
8
Let x = -3 + 5. Suppose 2*y = -4*g + 12, x*y - 19 = 3*g - 0*g. Suppose -67 = -3*m + a, 5*m + 5*a = 76 + 29. Calculate the remainder when m is divided by y.
6
Let n(m) = m - 2. Let p be n(5). Suppose -20 = 2*l + 3*l, -4*l - 1 = -p*d. Let o = d + 15. What is the remainder when 28 is divided by o?
8
Let j(y) = -12*y - 1. Let k(w) = 6*w**3 - w**2 + 1. Calculate the remainder when j(-1) is divided by k(1).
5
Let g be (-604)/(-6) - 6/9. Suppose -g = -3*q + 3*o - 40, q - 14 = -5*o. What is the remainder when q is divided by 10?
9
Suppose 0 = -d - 1 - 9. Let m = 3 - d. What is the remainder when 24 is divided by m?
11
Let z(b) = -b + 5. Let x be z(3). Suppose 45 = 3*j - x*n, -j - n - 15 = -2*j. Let a = -68 - -111. Calculate the remainder when a is divided by j.
13
Let w(d) = d**3 - 10*d**2 + 10*d - 6. Calculate the remainder when 9 is divided by w(9).
0
Let b(l) = -l**3 + 12*l**2 + 3*l - 16. Let v be b(12). Let t = 36 - v. What is the remainder when 61 is divided by t?
13
Suppose -2*w - 55 = -7*w. What is the remainder when (-120)/(-18)*6/2 is divided by w?
9
Let n(v) = v**2 + 8*v + 7. Let g be n(-5). Suppose 11 = 5*i + 1. Calculate the remainder when i is divided by ((-4)/3)/(g/12).
0
Let c be 15/60 - 322/8. Let n = c - -73. What is the remainder when n is divided by 18?
15
Let j(a) = -4*a - 1 + 2*a + 6*a**2 + 2*a**3 - a**2 - 3*a**3. What is the remainder when j(3) is divided by 3?
2
Let r = -34 + 64. Let u = r - 9. What is the remainder when u is divided by 12?
9
Let z(q) = -q**2 + 3*q - 1. Calculate the remainder when 1 is divided by z(1).
0
Suppose v + 0*v = 6. Suppose h - v*h = -30. What is the remainder when 17 is divided by h?
5
Let m(q) = 6*q**2 - 13*q - 30. What is the remainder when m(-4) is divided by 32?
22
Suppose 3*p + 4*w - 16 = 0, 3*p - 5*w - 3 = 58. Suppose -m + r = -4*m + 136, 3*m - 148 = 5*r. What is the remainder when m is divided by p?
10
Let m = -3 - -11. What is the remainder when 31 is divided by m?
7
Let s be (-2)/(-5) + 78/30. Suppose -2*n + 21 = p, n - 5*n = -s*p - 47. Calculate the remainder when 31 is divided by n.
9
Suppose 2*t = 6*t - 56. Let f(i) = i + 2. Let r be f(-8). What is the remainder when t is divided by 16*(2 - (-9)/r)?
6
Let o = 18 - -13. What is the remainder when 118 is divided by o?
25
Suppose -3*v - v = -52. What is the remainder when 49 is divided by v?
10
Suppose 5*p = -5*n - 30, 0 = -3*p + 7*p. What is the remainder when 10 is divided by (-20)/n + (-2)/6?
1
Suppose -3*q = 2*q - 25. Suppose 0 = q*c - 4*c - 25. What is the remainder when c is divided by 9?
7
Let z(v) = -41*v - 5. Let d be z(5). Let c = -146 - d. What is the remainder when c is divided by 22?
20
Calculate the remainder when 13 + (4 + -1 - 5) is divided by 5.
1
Let m(a) = 18*a**2 - 3*a + 2. Calculate the remainder when m(1) is divided by 1/((-2)/(1 + -13)).
5
Let l be (-6)/12*(1 - 1). Suppose 3*h - 33 + 6 = l. Suppose 1 - h = -m. What is the remainder when 29 is divided by m?
5
Let a = -5 - -7. Suppose -8 = -4*m - 5*u + u, 3*u + a = -m. Suppose 2*c = z - 11, 7*c + 12 = z + m*c. What is the remainder when 24 is divided by z?
6
Suppose 7*x - 27 = 4*x. Let t(k) = k - 1. Let r be t(0). Let s(d) = -17*d**3 - 1. What is the remainder when s(r) is divided by x?
7
Calculate the remainder when (-276)/(-8) - 3/2 is divided by 12.
9
Let x = -30 + 44. Let o = 195 + -154. Calculate the remainder when o is divided by x.
13
Suppose y - 6 - 10 = -4*h, -5*h - 1 = -4*y. What is the remainder when 33 is divided by y?
1
Suppose 0*s + 3*h = s - 38, 0 = -s + h + 38. Suppose -4*v = 1 - 53. Calculate the remainder when s is divided by v.
12
Let m(z) = -23*z**3 - 2*z - 2. Calculate the remainder when 90 is divided by m(-1).
21
Let g(j) = -3*j + 45. Calculate the remainder when g(-9) is divided by 15.
12
Let t = -14 - 19. Suppose 3*l + r - 61 = 0, 5*l - 3*r = 2*r + 75. Calculate the remainder when l is divided by (1 - t/(-12))*-4.
5
Let r = -42 + 49. Calculate the remainder when 46 is divided by r.
4
Suppose 16 = -y + 51. Calculate the remainder when 243 is divided by y.
33
Let y = -50 - -71. Let g(m) = m**3 - 6*m**2 + 5*m + 2. Let r be g(6). Calculate the remainder when y is divided by 45/20*r/6.
9
Let i(y) = 2*y**2 - 2*y - 5. What is the remainder when 174 is divided by i(5)?
34
Calculate the remainder when (-20)/(-6)*588/70 is divided by 10.
8
Let w be 58/(-12) - 1/6. Calculate the remainder when (-26 + (w - -2))*-1 is divided by 15.
14
Suppose -3*p - 4*n + 34 = 0, 0 = 3*n - 4*n + 1. Suppose -8*s + p*s = 8. What is the remainder when 9 is divided by s?
1
Let w = 13 - -3. Suppose -4*t + w - 4 = 0. Suppose -5*l = 2*h - 91, -3*l - t = -2*l. What is the remainder when h is divided by 14?
11
Suppose -6*u + 40 = -32. Calculate the remainder when 30 is divided by u.
6
Suppose -9*k + 7*k = -152. Calculate the remainder when k is divided by 26.
24
Let k(c) = 10*c. Let q = 17 + -9. Calculate the remainder when k(3) is divided by q.
6
Suppose -5*s + 0*b = 4*b - 45, 2*s + 5 = 3*b. Suppose 0*u + 15 = s*u. Calculate the remainder when 2 + -1 - -5 - 1 is divided by u.
2
Let f = -15 + 27. Calculate the remainder when 58 is divided by f.
10
Suppose 0 = 3*c - 6*b + b - 21, 5*c + 5*b + 5 = 0. What is the remainder when 2/7 - (-12)/42*20 is divided by c?
0
Suppose 3*i + 4 = 2*j, 0*i + j - 3 = i. Calculate the remainder when 83 is divided by i/(-13) + (-1100)/(-52).
20
Suppose k = -0*k. Suppose u - 58 = -2*y, 3*u + 3*y + 0*y - 168 = 0. Suppose k = -2*g + m + u, 2*g = 5*g - m - 80. What is the remainder when g is divided by 14?
12
Let v be 4 - ((-1576)/2)/1. Calculate the remainder when 19 is divided by (-4)/26 + v/78.
9
Let b(y) be the first derivative of y**3/3 + y**2/2 - 2*y - 1. Let n = -8 - -11. Calculate the remainder when b(n) is divided by 4.
2
Let u = -8 - -20. Calculate the remainder when u is divided by 8.
4
Calculate the remainder when 4 is divided by (-2)/(-5) - 54/(-15).
0
Suppose p + 2*i - 49 = -i, -p + 4*i = -70. Suppose -3*j + 26 = -34. What is the remainder when p is divided by j?
18
Let m(v) = 2*v + 10. Let d be m(-8). Let b = d - -10. Calculate the remainder when 13 is divided by ((-28)/6)/(b/(-6)).
6
Suppose 2*b = -3*r + 29, r = -3*b + 10 + 9. Calculate the remainder when 17 is divided by r.
3
Suppose r - 24 = -5*o, 0*o = -o - 4*r + 20. What is the remainder when 29 is divided by -7 + o + (12 - -1)?
9
Let g(s) = -6*s. Let b be g(3). What is the remainder when (-274)/b - (-8)/(-36) is divided by 4?
3
Suppose 0 = -2*y + 3*y - 13. Let r = 123 - 87. Suppose 0*l + l - r = 0. What is the remainder when l is divided by y?
10
Suppose u = 3*u. Calculate the remainder when 18 is divided by (-13 - -12)*(u + -7).
4
Let q be ((-12)/(-15))/((-1)/5). Let d be (-66)/(-14) + q/(-14). Let j = d - 0. Calculate the remainder when 17 is divided by j.
2
Suppose 28 = 5*x - 327. What is the remainder when x is divided by 24?
23
Suppose 84 = 6*t - 396. What is the remainder when t is divided by 27?
26
Let r be ((-1)/(-3))/((-3)/45). Calcu