11*c**2 - 1. Let i be s(1). What is the remainder when 70*(-1 - 2)/(-6) is divided by i/(-25) + (-141)/(-15)?
8
Let w be (-1)/1*-1 + (-3)/3. Let v = 282 + -183. Suppose -4*l + v + 373 = w. Calculate the remainder when l is divided by 30.
28
Suppose -u - 2*v + 3 = 0, -2*u - v + 4 = -2. Suppose u*p = p + 66. Suppose 0 = 5*m - 74 + 14. Calculate the remainder when p is divided by m.
9
Suppose 5*y - 21 = -r, -3*y - 12 = r - 35. Suppose -270 = -8*g + r. Calculate the remainder when g is divided by 20.
17
Let o(w) = 2*w**2 - 2*w - 5. Suppose -10*n - 24 = -14*n. Suppose -90 = n*d - 11*d. What is the remainder when o(-4) is divided by d?
17
Suppose -42 = -3*s + 4*i, -2*s + 3*i + 45 = s. Suppose -4*z + 5*u + 51 = 0, -z - 3*u - 1 = -s. Calculate the remainder when 24 is divided by z.
10
Suppose 3*y - 876 = 3*m, 689 = 4*y - 2*m - 473. Suppose -5*l + 531 = 4*u, -5*u = 3*l - 10*u - y. Calculate the remainder when l is divided by 13.
12
Let c(k) = -8*k + 39. Suppose -2*f - 5*a = -41, a = 2*f + 3*f - 116. What is the remainder when f is divided by c(4)?
2
Suppose -9*p - 49 = -238. Calculate the remainder when 248 is divided by p.
17
Suppose -2*x + 23 = u, -40*x = -3*u - 41*x + 54. What is the remainder when 130 is divided by u?
11
Let t(w) = -w + 30. Let l be t(0). Suppose 0 = n + 2*u - 50, n - 6*u + 4*u = 34. Calculate the remainder when n is divided by l/(-2)*(1 - 2).
12
Suppose 5*g + 14 = 4*z, z - 16 = -4*g - 44. What is the remainder when 75 is divided by (-513)/(-18)*(-4)/g?
18
Let b = 154 - 118. Calculate the remainder when 126 is divided by b.
18
Suppose -3*g = 5 - 11. Suppose -16 = 4*b, 5*b + 26 = s + g*b. Calculate the remainder when (-198)/(-8) - 1/(-4) is divided by s.
11
Let w = -529 - -543. Calculate the remainder when 49 is divided by w.
7
Let o = 422 + -406. Suppose k + 0 = 1. Calculate the remainder when 47/4*(k + 3) is divided by o.
15
Suppose 1 = -4*z - 135. Let y = z - -45. Calculate the remainder when 42 is divided by y.
9
Let o = 13 + -14. Let r = o - -7. What is the remainder when 19 + (r/2 - 5) is divided by 5?
2
Let x(o) = -7*o + 0*o**3 + o**3 - 3*o - 6*o**2 + 2*o + 21. Calculate the remainder when x(7) is divided by 6.
2
Let n(z) = z - 2. Suppose -3*t - 6*p + 2*p = -27, -t + 9 = 4*p. Suppose 0 = -5*x - 20 + 120. Calculate the remainder when x is divided by n(t).
6
Calculate the remainder when (29 - 28) + 82 + 0 is divided by 18.
11
Let n = -29 + 49. Suppose -29*a = 7*a - 396. Calculate the remainder when n is divided by a.
9
Let h(k) = -2*k + 34. Calculate the remainder when h(-32) is divided by 34.
30
Let d(k) be the third derivative of 0*k - 1/3*k**3 - 6*k**2 + 0 + 1/120*k**6 - 1/12*k**4 + 1/15*k**5. What is the remainder when 15 is divided by d(-4)?
3
Let y(d) = d**2 + 5. Let j be y(3). Suppose s + 6*s - j = 0. Suppose 10 + s = 3*f. Calculate the remainder when 13 is divided by f.
1
Let l(m) = -2*m**3 + 6*m**2 - 4*m + 8. Let x be l(4). Calculate the remainder when 53 + (-2 - (2 + -2)) is divided by (((-52)/(-10))/(-1))/(x/100).
12
Suppose 5*k - 5*v = 2*k - 47, 2*v - 2 = 0. Let g = k + 17. Suppose 4 = 4*i + g*y, -2*i + y - 2 = -4. What is the remainder when i is divided by 1?
0
Suppose -11 = 8*w + 165. What is the remainder when (94/3)/(w/(-6) + -3) is divided by 17?
13
Suppose -2*l + c = -31, -33 = -4*l + 3*c + 32. Suppose 4*a + 3*j - j + 20 = 0, -3*a = 2*j + l. Let u = a + 18. Calculate the remainder when 23 is divided by u.
11
Let g = -10 + 5. What is the remainder when 1400/120 + -1 + 1/3 is divided by (2/g)/(1/(-10))?
3
Let k be (-2)/6 + (-26)/39. Let u = 20 + k. What is the remainder when 56 is divided by u?
18
Suppose 0 = 18*p - 163 - 845. Calculate the remainder when 205 is divided by p.
37
Let n be -2 - (-8 + (-3)/(-1)). Let a = 9 + 41. Calculate the remainder when a is divided by (9/n)/3 + 12.
11
Let h(l) = -l**2 - 2*l + 9. Let t be h(-4). What is the remainder when 56/1 - (t - 1) is divided by ((-58)/3 - 0)/((-30)/45)?
27
Suppose 2*z - 32 = -0*z. Let n(i) = 11*i - 7. Let w be n(-5). Let h = w + 108. What is the remainder when h is divided by z?
14
Let g = -245 - -412. What is the remainder when g is divided by 21?
20
Let b be (-1)/2 - 158/4. Calculate the remainder when 18 is divided by b/(-6) + 4/12.
4
Suppose t - 3*a = 54, 9*a + 184 = 4*t + 5*a. What is the remainder when 415 is divided by t?
37
Suppose -4*z + 5*z - 15 = 0. Let x be -1 + (-3)/(6/(-70)). Let u = -26 + x. What is the remainder when z is divided by u?
7
Let l be -3 + 7*1/1. Suppose -m + 8 = -l*d - 2, -2*m + 5*d = -26. Calculate the remainder when m is divided by (10/(-3))/(5/(-15)).
8
Suppose -259 = -4*s - 3*i, 5*s = 2*s - 5*i + 197. What is the remainder when s is divided by 18?
10
What is the remainder when 13/(-2)*(-31 - -29) is divided by 3?
1
Suppose 0 = -4*j - 3*s + s + 30, 6 = -j + 4*s. Let o(k) = 2*k**2 - k - 1. Let d be o(-1). Suppose d*a + 0 = 30. What is the remainder when a is divided by j?
3
Let w(i) = 15*i**2 - 75*i + 11. Let o be 1/(1 - (-16)/(-14)). Calculate the remainder when (-2)/o + (-208)/(-7) is divided by w(5).
8
Suppose 18 + 8 = n + 3*t, -90 = -3*n - 5*t. Let i(j) = -4*j**3 - j**2 - j. Let x be i(-2). Calculate the remainder when n is divided by 94/10 + (-12)/x.
8
Suppose -6*o + o + 85 = 0. Suppose 0 = -9*y + 5*y + 20. Suppose 10 = 3*u - y. What is the remainder when o is divided by u?
2
Let k(i) = 7*i**2 + 2*i - 2. Let w = 0 - 2. What is the remainder when 62 is divided by k(w)?
18
Suppose d - 10 = -2. Let a(k) = k**2 + 12*k + 6. Let b be a(-11). What is the remainder when d is divided by ((-20)/25)/(1/b)?
0
Let u = -43 + 51. Let z be ((-6)/4)/(6/(-8)). Let j = z + u. Calculate the remainder when 18 is divided by j.
8
Let p(l) = l + 18. Let y be p(-4). Calculate the remainder when (-1257)/(-6) - 7/y is divided by 42.
41
Let s(i) = i - 9. Let t be s(7). Let z = 25 + t. Calculate the remainder when 66 is divided by z.
20
Let s = -75 + 340. What is the remainder when s is divided by 101?
63
Let f = -45 + 156. Suppose 0*p - 51 = -3*p + 3*m, -5*p + m = -93. What is the remainder when f is divided by p?
16
Suppose 0 = 5*x - 4*c - 232, 29*c = x + 25*c - 40. What is the remainder when 182 is divided by x?
38
Suppose 142 + 600 = 7*c. Calculate the remainder when c is divided by 43.
20
Suppose 329 = 12*c - 7. Calculate the remainder when 92 is divided by c.
8
Let q = -24 + 101. Let z(a) = -a**3 - 15*a**2 - 3*a - 19. What is the remainder when q is divided by z(-15)?
25
Suppose 2*b = 7*b + 20. Calculate the remainder when b/24 - 307/(-6) is divided by 27.
24
Suppose -5*o - 9 = -34. What is the remainder when 444/(-8)*(-28)/42 is divided by o?
2
Suppose -3*n + 550 = 5*i, -5*n + 0*n - 4*i = -921. Suppose -l - 42 = 5*g - 479, -2*g = -3*l - n. Calculate the remainder when g is divided by 18.
16
Suppose 0 = p - 106 - 156. Calculate the remainder when 36 is divided by 4/22 - p/(-11).
12
Let z(b) be the first derivative of 7*b**2/2 + 37. Calculate the remainder when z(9) is divided by 13.
11
Suppose z - 2*j + 6*j - 90 = 0, -370 = -5*z - 4*j. What is the remainder when 202 is divided by z?
62
Let z be 2 - (4 - 2 - -3). What is the remainder when 3*(2 - 14/z) is divided by ((-1)/5)/((-5)/175)?
6
Suppose 38 + 27 = -5*z. Calculate the remainder when z/(-2) + (-16)/(-32) is divided by 9/5 - 3/(-15).
1
Let x(w) = w**2 + 2*w - 16. Calculate the remainder when 82 is divided by x(5).
6
Let i(d) = -d**3 + 8*d**2 + 15*d + 2. Calculate the remainder when 92 is divided by i(9).
36
Let g(z) = 3*z**2 + 6*z - 10. Calculate the remainder when g(2) is divided by 13.
1
Let q(n) = n**2 + 4*n + 3. Let u be q(-7). Suppose -4*h + 60 = 5*r - u, 5*h + 2*r = 88. Calculate the remainder when 45 is divided by h.
13
Suppose 4*p + 4*v - 16 = 0, -6*p + p + 60 = -3*v. Let y = 22 + p. What is the remainder when 122 is divided by y?
29
Let y = 81 - 56. Suppose 4*b + 2*w + 18 = 0, -4*b + y - 8 = -5*w. Let u(i) = -11*i + 6. Calculate the remainder when u(b) is divided by 10.
8
Let c = 41 + -41. Suppose -7*h + 4*h + 27 = c. What is the remainder when 26 is divided by h?
8
Let a be -8 + 8*(-4)/(-8). Let v be 106/4 - a/(-8). Suppose 29*l - 21 = v*l. Calculate the remainder when 19 is divided by l.
5
Let w be -10*(4/(-10))/1. Suppose -3*o + 5*t + 169 = -7*o, 124 = -4*o + w*t. Let u 