-k**2 + 7*k + 8. Let i be g(8). Suppose 17 = -9*z + 161. What is the remainder when s(i) is divided by z?
15
Suppose -2*j = 10, -4*j = -15*q + 19*q - 1152. What is the remainder when q is divided by 72?
5
Suppose 0 = -12*i + 13*i - 103. What is the remainder when i is divided by 3?
1
Suppose 3*p + 4*a + 10 = p, -15 = 3*a. Suppose -p*z + 0*z - 5175 = 0. Calculate the remainder when z/(-10) - 12/(-8) is divided by 36.
33
Let i(p) = -19*p**3 + p**2 - 1. Let x be i(-1). Suppose -4 = z - x. What is the remainder when 4340/98 - 4/14 is divided by z?
14
Let b = 58 + -24. Calculate the remainder when 128 is divided by b.
26
Let r = 255 + -231. What is the remainder when 116 is divided by r?
20
Suppose -4*n = -0*n - 52. Let h be 1020/39 - 2/n. Let d = h + 2. Calculate the remainder when 81 is divided by d.
25
Let q be (-2)/(-6) - 616/(-24). Calculate the remainder when (q/65)/((-2)/(-310)) is divided by 16.
14
Suppose 6*m - 437 = 463. What is the remainder when (-117)/273 - m/(-7) is divided by (-124)/(-10) + (-2)/5?
9
Let l be ((-8)/(-20))/((-3)/(-10035)). What is the remainder when (-1)/3 - l/(-18) is divided by 26?
22
Let j(p) = 4*p**3 - 4*p**2 + p. Calculate the remainder when j(4) is divided by 67.
62
Let h = -35 - -225. Calculate the remainder when h is divided by 24.
22
Let i be (-5)/(20/8)*(0 - 1). Calculate the remainder when 38 is divided by 6/i + 80/8.
12
Let k = -20623 - -20646. Let h(y) = -y - 7. Let i be h(-3). Calculate the remainder when k is divided by 0 + (-24)/(i/2).
11
Let v = 0 - -12. Let q(b) = b**2 + 8*b + 19. Let y be q(-5). Suppose -3*t + 4*o = -87, -y*t = -2*t - o - 63. What is the remainder when t is divided by v?
9
Let z(i) be the first derivative of 2*i**3/3 + 11*i**2/2 + 7*i + 37. What is the remainder when 71 is divided by z(-7)?
15
Let r(q) = 2*q**2 - 13*q - 3. Let d be r(7). Suppose n = -2*x + 3*x - 46, -d*n - 20 = 0. What is the remainder when x is divided by 14?
13
Let u(q) = 7*q**3 - q**2 - 2. Let b be -2 - (0 + 2 + -6). Suppose -2*f + 3 = 3*v - b*v, 0 = 4*f + v - 7. Calculate the remainder when u(f) is divided by 13.
11
Let d be 3/((15/2)/(-5)). Suppose 13*t = 17*t - 12. Calculate the remainder when 1 is divided by (1 - t)*d - 3.
0
Let z = 10 + -6. Suppose z*b - 2*i = 28, -2 - 14 = -4*b - i. Let d = b + 65. What is the remainder when d is divided by 18?
16
Let w(t) = -t**2 + t. Let v be w(0). Suppose 1439 = 13*z + 425. Suppose 2*l + 19 + 14 = p, -2*p + l + z = v. What is the remainder when p is divided by 21?
20
Let d be (138/(-24))/(1/(-8)). What is the remainder when (d - 2 - 3) + -4 is divided by 14?
9
Calculate the remainder when 353 is divided by -6 + (-2 - (1 - 38)).
5
Let x(s) = s**3 - 5*s**2 - 2*s - 9. Suppose -11*i - 10*i = -567. Calculate the remainder when x(7) is divided by i.
21
Let q be (882/(-54))/((-2)/30). Suppose -5*l = 4*s - q, 2*l - 7*s = -2*s + 131. What is the remainder when l is divided by 11?
9
Suppose 5*y + 1460 = 25*y. Suppose -8*g + y + 327 = 0. What is the remainder when g is divided by 27?
23
Suppose 5 + 223 = 19*n. Calculate the remainder when 46 is divided by n.
10
Suppose -8*g = -99 + 27. Let f(r) = -4*r**3 + 3*r**2 + 2*r + 3. Calculate the remainder when f(-2) is divided by g.
7
Let r(s) = -s + 18. Let b be r(10). Let l = b - 3. What is the remainder when l is divided by 6 - (-9 + 3)/(-2)?
2
Let d(s) = s**2 + 91*s + 367. Suppose 0 = 3*o - 12, p - o = 2*p - 57. What is the remainder when p is divided by d(-4)?
15
Suppose -u + 2*k = -2*k - 26, 12 = -3*k. Calculate the remainder when 12 is divided by u.
2
Suppose 0 = z + z - 14. Let n = z - -12. Let a = n - 15. Calculate the remainder when 15 is divided by a.
3
Let v(m) = 8*m + 38. Suppose -4*s + 62 = -46. Calculate the remainder when s is divided by v(-4).
3
Let l be (-1)/(-6) - (-1375)/30. Suppose 4*v - 6 = -l. What is the remainder when 25 is divided by (2/(-3))/(v/135)?
7
Let v = -47 + -38. What is the remainder when 35 + v/(-35) + (-6)/14 is divided by 19?
18
Suppose -18 = 18*m - 144. Calculate the remainder when 88 is divided by m.
4
Suppose 5*g + 18*t - 2861 = 20*t, -4*g + 2282 = -5*t. What is the remainder when g is divided by 116?
109
Suppose -14*n - 21*n = -13685. What is the remainder when n is divided by 100?
91
Let k = 5 + 3. Suppose 0 = v - 3*v + k. Let h(g) = -g**3 + 5*g**2 + 4*g - 4. Calculate the remainder when h(v) is divided by 6.
4
Let l = -339 - -388. What is the remainder when 238 is divided by l?
42
Let r(v) = -v**3 + 12*v**2 - 19*v + 2. Suppose 0 = -2*x - 2*a + 2, x + 19 = 6*x - 2*a. What is the remainder when r(10) is divided by x?
0
Let q(i) = -i**2 - 3*i + 2. Let a be 30*(64/(-12) + 4). Let y = a + 41. What is the remainder when q(-2) is divided by y?
0
Suppose -58 = 11*p - 10*p. Let n = -28 - p. Let u(s) = s**3 + 3*s**2 - 3*s + 2. What is the remainder when n is divided by u(-3)?
8
Suppose 0 = -26*c + 5748 + 8812. What is the remainder when c is divided by 51?
50
Let f(x) = x**2 + 8 + 9*x - 42*x**3 + 41*x**3 + x**2 + 2*x**2. What is the remainder when 83 is divided by f(5)?
27
Suppose -4*d + 20 = 0, -w + 3*d + 101 = w. Let s(u) = 5*u**3 - 6*u**2 - 4*u + 21. What is the remainder when s(4) is divided by w?
55
Let c = -447 + 451. Let m = 0 - 0. Suppose 2*n = -m + 4. What is the remainder when c is divided by n?
0
Let h(o) = o**3 + 11*o**2 + 11*o + 39. Calculate the remainder when 224 is divided by h(-9).
20
Let h = -16 + 22. Suppose h*r - 80 = r. Suppose 13 = -3*x + 106. Calculate the remainder when x is divided by r.
15
Let o be 0 - (-60)/(2 + -1). Suppose 0 = -4*k + o + 24. Calculate the remainder when 61 is divided by k.
19
Let s = -127 - -183. Calculate the remainder when 108 is divided by s.
52
Let c = 22 + -22. Suppose c = -6*n + 2*n + 32. Calculate the remainder when n is divided by 2.
0
Let r(q) = 266*q**2 + 4*q + 3. What is the remainder when r(-1) is divided by 70?
55
Suppose 5*s - 3*u - 37 = 0, -s + 4 = -157*u + 153*u. What is the remainder when 150 is divided by s?
6
Suppose 32*x - z = 35*x - 110, 0 = -x + 5*z + 10. What is the remainder when 557 is divided by x?
32
What is the remainder when 1/(-3 + (-1158)/(-384)) is divided by 24?
16
What is the remainder when 198 is divided by 3/12 - 795/(-20)?
38
Suppose -j + 4 = 4. Suppose -12*b + 8*b + 56 = j. Calculate the remainder when 38 is divided by b.
10
Let z = -42 - -50. Let p = z + -6. Let q = -1 + 3. What is the remainder when p is divided by q?
0
Let o = -47 - -52. Suppose -9 = -o*s + 46. What is the remainder when s is divided by 4?
3
Let g = -18 - -20. Let i be -24*((-20)/16 + g). Calculate the remainder when 3*(0 + -1) - i is divided by 8.
7
Let a = 167 - 133. What is the remainder when a is divided by 20?
14
Let i = 12 + 12. Let u(m) = -5*m**2 + 57*m - 9. Calculate the remainder when i is divided by u(11).
11
Suppose -5*g + 139 = 2*u + 19, 5*g + 3*u - 115 = 0. What is the remainder when 72 is divided by g?
20
Suppose -2*r + 4*c - 48 = 0, 5*c = r - 6*r - 90. Let n be r*6*8/(-16). Suppose -k + n = 3*k. Calculate the remainder when 28 is divided by k.
13
Let k(z) be the second derivative of 0 + 8*z + 7/12*z**4 + 1/20*z**5 - 3/2*z**2 + z**3. What is the remainder when 82 is divided by k(-5)?
14
Let j = -1 - 0. Let k = j + 3. Let i(d) = 4*d**3 + 9*d**2 - 6*d - 2. What is the remainder when i(1) is divided by k?
1
Let q(s) = -5*s + 322. Calculate the remainder when q(39) is divided by 16.
15
Calculate the remainder when 153 is divided by ((-6)/(-21))/(16/1456).
23
Let g = -90 - -30. Let l(y) = -15*y**3 + y + 1. Calculate the remainder when -2 - -3 - g - 4 is divided by l(-1).
12
Let j(q) = -q**2 - 2*q + 84. What is the remainder when 84 is divided by j(-7)?
35
Let b = 1739 - 1666. Let h = 45 - 26. What is the remainder when b is divided by h?
16
Let w = 367 + -183. Calculate the remainder when w is divided by (5*32/(-240))/((-4)/222).
36
Suppose -13 = 3*w + 5*k, 0*k - 11 = 3*w + 4*k. Let a(f) = -4*f + 1. Calculate the remainder when a(w) is divided by 4.
1
Suppose -28 - 89 = -3*p. Calculate the remainder when 37 is divided by ((-26)/p)/((-2)/60).
17
Suppose -5*k + 6*k = 37. Suppose 5*r = -3*i + 9*r + 83, -3*i + 88 = -5*r. Calculate the remainder when k is divided by i.
16
Suppose 5*a = -10*a + 30. Suppose 11 = -a*x + 59. What is the remainder w