
Let s be 38/19 + (7 - -1). Let o(a) = -s + 14*a - 2*a + 20 - a**2. What is the remainder when o(9) is divided by 13?
11
Calculate the remainder when (-11)/((-99)/9891) + 0 is divided by 110.
109
Let w = 77 - 83. Let b(m) = -m**3 - 5*m**2 + 7*m + 33. Calculate the remainder when b(w) is divided by 10.
7
Suppose 3*u - u = 0, 2*y - 256 = 2*u. Suppose 5*k - 22 = -5*h + y, -25 = -2*h + 5*k. Calculate the remainder when h is divided by 13.
12
Suppose 10*b = b + 648. Calculate the remainder when 1078 is divided by b.
70
Suppose -4*n - 172 = -5*w + 63, -5*n + 127 = 2*w. Calculate the remainder when 51 is divided by w.
0
Suppose -3*f = -4*n - 7, 5*f = -n - 3*n + 65. Let k(b) = 2*b + 3*b**2 - 2*b**2 - 3*b + 0*b**2. What is the remainder when f is divided by k(-2)?
3
Let b(a) = -a**2 - 10*a - 11. Let g be b(-8). Suppose 60 - 15 = 3*r - h, g*r = 2*h + 74. Calculate the remainder when 62 is divided by r.
14
Suppose 0 = -2017*b + 2009*b + 232. Calculate the remainder when 665 is divided by b.
27
Suppose -2*m - 8*j + 16 = -4*j, m = -j + 5. Let p(o) = 8*o - 6. Calculate the remainder when 15 is divided by p(m).
5
Let w = 6 - 4. Suppose 3*z - 15 = w*z. What is the remainder when (-2)/8 - (-233)/4 is divided by z?
13
Let q = 364 + -301. Calculate the remainder when 181 is divided by q.
55
Let p(x) = -x**3 - 15*x**2 - 3*x + 17. Let d be p(-15). Let c = d + -55. Let g = 28 + -15. Calculate the remainder when g is divided by c.
6
Let a(z) = -12*z - 22. Let c be a(-8). Suppose -c = -2*i - 4. What is the remainder when i is divided by 10?
5
Let s(l) = l**3 + 22*l**2 + 22*l + 55. Calculate the remainder when 135 is divided by s(-21).
33
Suppose -34*d = -30*d - 180. Suppose -46*l = -d*l - 18. What is the remainder when 53 is divided by l?
17
Let a be (4/8)/((-1)/(4*29)). Let p = a + 127. What is the remainder when p is divided by 36?
33
Let j(h) = 0 + 3*h**2 + 5 + 6*h - h**2 + 0*h**2. Let b be j(-5). Let f = b + -1. Calculate the remainder when f is divided by 13.
11
Let s = -3 + 5. Let b(n) = n**3 - 2*n + 2. Let o be b(s). Suppose l = -4*v + 6, -3*v + 2*v - 4*l - o = 0. What is the remainder when 5 is divided by v?
1
Suppose -h + 3*l = -150, 0 = 5*h - 4*l + l - 702. Calculate the remainder when h is divided by 16.
10
Suppose 4*f = 85 - 29. Let d = 1159 - 1090. Calculate the remainder when d is divided by f.
13
Let l = 5 + -1. Suppose l*g - 6 - 6 = 0. Suppose -2*q - 9 - 7 = -g*n, 3*n - 36 = -3*q. What is the remainder when 15 is divided by n?
7
Let m(q) = -q**3 - 7*q**2 + 7*q - 4. Let u be ((-24)/(-60))/((-1)/20). Let s be m(u). Calculate the remainder when (-3 - -5)*50/s is divided by 9.
7
Let l be ((-4)/(-6))/(4/(-36)). Suppose -34*d + 35*d - 10 = 0. Calculate the remainder when d is divided by (0 - l)*(-4)/(-8).
1
Suppose c = -5*i + 735, 3*c = 5*i - 311 - 424. Calculate the remainder when i is divided by 50.
47
Suppose 2*k - 3*k + 5*c + 55 = 0, 0 = 3*k - c - 165. What is the remainder when 107 is divided by k?
52
Let x(a) = -69*a + 9. Let i be x(-7). Let w = -242 + i. Suppose r + 2*r + 2*l - 247 = 0, -3*r + w = -l. Calculate the remainder when r is divided by 28.
27
Let j(k) = k + 47. Let p be j(-19). Suppose -p = -11*y + 7*y. Calculate the remainder when 34 is divided by y.
6
Let f = 23 + -21. Calculate the remainder when 86 is divided by f/8 + (-115)/(-4).
28
Let b(g) = g**2 + 31*g + 262. Calculate the remainder when b(-8) is divided by 32.
14
Let b = 37 + 109. Calculate the remainder when b is divided by 30.
26
Let s(d) be the second derivative of -d**3/6 + 17*d**2/2 - 2*d. Suppose 3*k - 17 = 2*k. What is the remainder when k is divided by s(7)?
7
Suppose -45 = 3*k + 3*g, 5*g = 5*k + 3*g + 40. Let x(q) = -q**2 + 10*q - 25. Let w be x(8). Let b = w - k. Calculate the remainder when 3 is divided by b.
0
Let r be 103/7 - 6/(-21). Suppose r = -4*h + 111. Suppose 0 = -2*x + x + h. What is the remainder when 71 is divided by x?
23
Suppose -6*h = -h - 80. Calculate the remainder when 358/8 - (496/(-62) - (-35)/4) is divided by h.
12
Suppose -2*u - 2*w = -12, -w = 3*u - 3*w - 8. What is the remainder when u/(-26) - (-2720)/104 is divided by 15?
11
Let u(f) = -99*f + 272. What is the remainder when u(2) is divided by 39?
35
Let y be ((-5)/2)/(6/(-24)). Suppose -19 = -3*q - y. Suppose 95 = c + q*c - 5*n, 0 = -c - 2*n + 27. What is the remainder when c is divided by 10?
5
Suppose -46*u = -17*u - 8265. Calculate the remainder when u is divided by 41.
39
Suppose g = 6*k - 2*k - 74, -3*g + 66 = 4*k. What is the remainder when -159*(2/(-6) + 0) is divided by k?
17
What is the remainder when 199 is divided by 1/(-2) + 2430/60?
39
Let a = -16 + 25. Suppose -a = 3*z + 5*k + 10, k + 48 = -4*z. Let h = 66 + z. Calculate the remainder when h is divided by 18.
17
Suppose j + 9 = 2*x, -51 = -5*x - 3*j - 12. What is the remainder when 29 is divided by x?
5
Suppose 0 = -29*v + 2032 + 2405. Calculate the remainder when v is divided by 36.
9
Suppose 17*x - 538 = 159. Calculate the remainder when 121 is divided by x.
39
Let c be (-5452)/(-14) - (-6)/(-14). Suppose 17*m - c = 1685. What is the remainder when m is divided by 41?
40
Let d = 5772 - 5707. Suppose 2*w - 2 = w. Suppose -3*p - 170 = -5*f - w*p, 5*f = -p + 170. Calculate the remainder when d is divided by f.
31
Let p(h) = -6*h + 98. Calculate the remainder when p(14) is divided by 11.
3
Let b = -22 + 22. Suppose 3*i + 9 = b, -t + 3*i = t - 55. What is the remainder when t is divided by 3?
2
Let t = -36 + 30. Let l = t - 13. Let f = l - -30. What is the remainder when 40 is divided by f?
7
Let c(t) = -t**3 - 7*t**2 + 12*t + 13. Let j(z) = -10*z + 11. Let p be j(2). What is the remainder when c(p) is divided by 35?
32
Let t = -1417 + 1504. Calculate the remainder when 305 is divided by t.
44
Calculate the remainder when (-12)/(-27) + (-15158)/(-117) is divided by 19.
16
Calculate the remainder when (-692)/(1 + (-5 - -2)) is divided by 14.
10
Suppose 5*y = 4*a + 48, 3 + 12 = 5*a. Let z(s) be the second derivative of -5*s**3/3 + s**2/2 + 25*s. Calculate the remainder when z(-3) is divided by y.
7
Let s be 14/4 - (-4)/(-8). Suppose 5*v = g - 27, -v + s*v + 12 = g. Calculate the remainder when 15 is divided by (-22)/v + (-4)/10.
3
Suppose -3*a - a - 2*w = -742, 4*a - 747 = -w. Let b = 8 - -15. What is the remainder when b is divided by a/16 + 2/8?
11
Suppose 0 = -3*g - 4*w - 1, 2*g = -5*w - 15 + 5. Suppose 0 = 4*c + g - 73. What is the remainder when 84 is divided by c?
16
Suppose -4*z = -0*z + 2*t - 18, 2*t - 6 = -z. What is the remainder when 118 is divided by z?
2
Let c(r) = 157*r + 56. What is the remainder when c(1) is divided by 5?
3
Let a(g) = -27*g. Let v(s) = s. Let d(w) = -a(w) - 4*v(w). Calculate the remainder when d(3) is divided by (-37)/(-2) - (-3)/(-6).
15
Let c(i) = -14*i - 259. Calculate the remainder when c(-34) is divided by 56.
49
Let p = 106 + 19. Calculate the remainder when p is divided by 13.
8
Let j(d) = 4*d**2 + 7*d - 25. What is the remainder when j(-5) is divided by 11?
7
Let l(z) = z**2 - 40*z + 393. Calculate the remainder when l(28) is divided by 33.
24
Let r(s) = -s + 7. Suppose 20 = b - 5*b, 2*p + 33 = -3*b. Calculate the remainder when (-2)/p - (-480)/27 is divided by r(0).
4
Suppose 0 = -4*d + 28 - 0. Let a be d + -2 + -2 - 273. What is the remainder when 63 is divided by (1 - 3) + a/(-15)?
15
Let f = 12 + 73. Calculate the remainder when f is divided by 207/7 + 76/(-133).
27
Calculate the remainder when 185 is divided by 6/10*(-12690)/(-81).
91
Suppose 160*n = 142*n + 198. What is the remainder when 331 is divided by n?
1
Let z = -15 + 26. Let t(v) = -v**2 - 15*v - 17. Let w be t(-14). Calculate the remainder when ((-84)/(-4))/(-2 - w) is divided by z.
10
Suppose 9 = 4*y - 35. Let s = y + -4. Suppose 3*b + 5*n = 74, 3*b + 116 = s*b - 2*n. What is the remainder when 54 is divided by b?
26
Suppose -19*c - 176 = -613. What is the remainder when 65 is divided by c?
19
Let m(k) = 2*k**2 + 7*k - 10. Let t be m(-7). Suppose -t = -0*l - l. What is the remainder when l is divided by (-10 - -14) + 1 + 5?
9
Suppose -2*y + 3*i = -119, y + i - 4 - 48 = 0. Let k(r) = -r**3 + 6*r**2 - 4*r + 5. What is the remainder when y is divided by k(4)?
13
Let c = -82 + 41. Calculate the remainder when (-10 + 11)/(-1*1/c) 