What is the remainder when 6 + -5 - (-5)/(20/1828) is divided by 27?
26
Let c(y) = -y - 6. Let i = 23 + -31. Let k be c(i). Suppose a = -0*d + k*d - 120, -d = -3*a - 55. What is the remainder when d is divided by 21?
19
Let k(h) = -4*h + 1. Suppose -12 = -11*f + 10. Suppose 0 = -5*w + 3*x + 49, 2*w - f = w - 2*x. What is the remainder when k(-7) is divided by w?
5
Let p(l) = 15*l**2 + 3*l - 1. Suppose -2*g = -g + 3*t - 3, 6 = 2*g + 5*t. Suppose -g*s = -6 - 9. What is the remainder when p(1) is divided by s?
2
Let l = -1067 + 1084. What is the remainder when 21 - 2/((-2)/(-1)) is divided by l?
3
Let n = -36 - -43. Calculate the remainder when 9 is divided by 40/n - 22/(-77).
3
Suppose -h = -y - 13, 4*y + 0 = -h + 8. Suppose -3*o + 51 = -9. Calculate the remainder when o is divided by h.
8
Let g(i) = 2*i**3 - 5*i**2 - 10*i + 5. Calculate the remainder when 316 is divided by g(5).
76
Let f(w) = 2*w**2 + w + 4. What is the remainder when f(-6) is divided by (0 + -45)*52/(-130)?
16
Suppose 3*g - 4*b - 94 = g, 0 = 5*b + 25. Let p = 20316 + -20134. What is the remainder when p is divided by g?
34
Let j(m) = m + 1. Let d be -4 - (-3 + 2)*4. Let p be j(d). What is the remainder when 76 is divided by 77/2 - p/(-2)?
37
Let q be (1*-1)/(8/16). Let l be (-9)/3 - 4/q. Calculate the remainder when (1*54)/l*-1 is divided by 14.
12
Calculate the remainder when (-2)/4*-2 - (-533)/13 is divided by 9.
6
Let u be (6636/35)/2 - (-2)/10. Let w = u - 84. Suppose -3*o + 152 - 23 = 0. What is the remainder when o is divided by w?
10
Suppose 15*o + 5*o = 180. What is the remainder when 71 is divided by o?
8
Suppose -4*k + s + 24 = -4*s, -3*k = -2*s - 25. Calculate the remainder when (-1)/(3*5/(-2115)) is divided by k.
9
Let g = 80 + -64. What is the remainder when g is divided by 7?
2
Suppose 0 = -4*l - l + 3*b + 76, 4*l - 54 = -b. What is the remainder when 55 is divided by l?
13
Suppose -2*s - 3*s + 30 = 2*o, 0 = -4*o + 20. Suppose 38 = v - 3*l, 4*v - 3*v = 7*l + 38. Calculate the remainder when v is divided by s.
2
Calculate the remainder when (-1209)/(-7) - 43/((-602)/4) is divided by 28.
5
Suppose 5*q - 5*v - 831 = -2*v, 4*q + 4*v = 684. Suppose 5*y + 3*u = y + q, -u + 221 = 5*y. What is the remainder when 88 is divided by y?
43
Let v be 5*(3 - 3/(-15)). Let n = v + -3. Suppose 2*f - 25 = n. What is the remainder when 56 is divided by f?
18
Let o(m) = -2*m + 2. Suppose 0*w + 5 = -2*k + w, -5*w - 20 = -k. Calculate the remainder when 20 is divided by o(k).
8
Let t(j) be the second derivative of -j**5/20 + 5*j**4/6 - 4*j**3/3 + 5*j. Calculate the remainder when 13 is divided by t(9).
4
Let n(l) = -l**3 - 3*l**2 + 23*l - 24. Calculate the remainder when n(-8) is divided by 35.
7
Let n = -18 + 22. Let r = 3 - 10. What is the remainder when (-44)/r + 26/(-91) is divided by n?
2
Let o(w) be the third derivative of 17*w**5/60 + w**3/6 + 13*w**2. Calculate the remainder when 69 is divided by o(-1).
15
Let j(a) = -4*a + 7 + 3*a**2 - 4*a**2 - a. Suppose 3*t = -f + 10, 3*f + 3*t - 5 = f. Calculate the remainder when j(f) is divided by 3.
1
Suppose 0 = -5*j - 10, 3*x - 22*j + 24*j - 143 = 0. Calculate the remainder when 97 is divided by x.
48
Let w(c) = -10*c**3 - c**2 - c - 1. Let p(o) = o**2 - 9*o - 17. Calculate the remainder when p(-4) is divided by w(-1).
8
Let s(f) = 8*f**2 - 20*f + 5. Suppose -4*d - 3 = 2*k - 5*d, 5*k + 10 = 3*d. Let p = 3 + k. Calculate the remainder when s(3) is divided by p.
1
Suppose -4*s = -u + 24 - 8, 5*s + 20 = -3*u. Let y = 30 + -12. Calculate the remainder when 130/s*(-8)/5 is divided by y.
16
Suppose 3*t + p = 18, -3*t - 3*p + 18 = p. Suppose -s + 3*m = -3*s - 11, 0 = -4*m - 20. Suppose s*k + 6 = 52. Calculate the remainder when k is divided by t.
5
Let g = 23 - 10. Let f(o) = o**2 + o. Let l(w) = -42*w**2 - 4*w + 1. Let i(v) = -5*f(v) - l(v). What is the remainder when i(-1) is divided by g?
11
Let d(w) = -45*w - 492. Calculate the remainder when d(-17) is divided by 11.
9
Let z(x) be the second derivative of -2*x**3/3 + 5*x**2 - 20*x. Calculate the remainder when 87 is divided by z(-3).
21
Suppose -h = -0*h + 348. Let u = -97 - h. Let v = -143 + u. Calculate the remainder when v is divided by 37.
34
Let s(k) = k - 2. Let f be s(8). Suppose p - f*p = 4*d + 125, d - 100 = 4*p. Let n = p - -35. Calculate the remainder when 19 is divided by n.
9
Suppose -5*c + 6 = 31. Let g(b) = -b**3 - 3*b**2 + 7*b + 1. Let y(p) = p**3 + 12*p**2 + 5*p - 4. Calculate the remainder when y(-11) is divided by g(c).
14
Suppose 0 = -0*t - 7*t + 1757. Calculate the remainder when t is divided by 14.
13
Suppose -1859 - 1570 = -27*w. Calculate the remainder when w is divided by 61.
5
Suppose t = -4*g - 30, 3*t - 53 = 4*g - 15. Let n = g + 24. Suppose -14 + 44 = 5*c. What is the remainder when n is divided by c?
4
Suppose -4*l - 5*j + 47 = 0, -3*l - 3*j = -7*l + 87. Let p(q) = 2*q**3 - 29*q**2 + 14*q + 4. What is the remainder when 4/l - 79/(-9) is divided by p(14)?
1
Let t(x) = 2*x**2 - 10*x + 27. Let n be t(11). Suppose -2*a - 147 = -n. Calculate the remainder when 27 is divided by a.
3
Let s(y) = 13*y + 181. Calculate the remainder when s(-7) is divided by 19.
14
Let h = -172 - -181. Suppose 4*c - 3*t = 369, -2*c + 3*t = 6*t - 189. Let l = c - 52. Calculate the remainder when l is divided by h.
5
Let w be 6/4*4/(-6). Let o be 3*w - (-54)/9. Suppose -o*r + 14 = -2*b, r + b = -0*r + 3. What is the remainder when r is divided by 3?
1
Let u(z) = -2*z**2 - 28*z - 8. Let d = 121 + -134. Calculate the remainder when 107 is divided by u(d).
17
What is the remainder when 82 is divided by 14/(-6)*-9*2?
40
Let w(n) = -4*n + 29. Calculate the remainder when 47 is divided by w(6).
2
Let p(q) be the second derivative of 5*q**4/12 - q**3/3 - 3*q**2/2 + 10*q. Calculate the remainder when p(3) is divided by 13.
10
Suppose -101 + 273 = -4*t - 3*z, 3*z - 188 = 5*t. Let q = t - -48. Calculate the remainder when 14 is divided by q.
6
Let y = 226 - 206. What is the remainder when y is divided by 4?
0
Suppose -1090*u + 112 = -1076*u. Calculate the remainder when 271 is divided by u.
7
Suppose 2*t + 13 + 19 = 0. Suppose 4*d + 8 = -3*m, 3*d + 5*m + 2 = -4. Let s = d - t. What is the remainder when 41 is divided by s?
13
Suppose -3*i - 11*r - 58 = -6*r, -i - 17 = 4*r. Let g(a) = -3*a + 20. Let h = 23 - 6. Calculate the remainder when g(i) is divided by h.
15
Let f(k) = -k**2 - 30*k + 261. What is the remainder when 77 is divided by f(6)?
32
Suppose -3*k - 40 = -2*g, -3 + 23 = g + k. Suppose 4*m - g = -m. Suppose -4*f + m*z = -20, 6 + 7 = 3*f - z. Calculate the remainder when 9 is divided by f.
1
Let m = 962 - 901. Calculate the remainder when m is divided by 47.
14
Suppose -7*v - 10*v - 34 = 0. Calculate the remainder when (-1 + 5)/v - -38 is divided by 20.
16
Suppose -2*s + 6*s - 5 = 5*g, 0 = -g + 3. Let f(l) = -l**2 + 10*l - 6. Suppose 0 = -4*m + 14 + 14. What is the remainder when f(s) is divided by m?
5
Suppose 18 - 9 = -3*x. Let u be 4*1*(-2 - x). Suppose 0 = 4*s + u, 5*i - 118 = -3*s - 46. What is the remainder when 42 is divided by i?
12
Calculate the remainder when (-114 + 9)*18/(-30) is divided by 34.
29
Suppose 6*b - 3*b = 123. Let d = b - 15. Let m(n) = -n**2 + 4*n + 39. Calculate the remainder when d is divided by m(8).
5
Let r = -576 + 632. What is the remainder when 167 is divided by r?
55
Let o = -1 + -2. Let b = 508 - 492. Let d = o + b. What is the remainder when 38 is divided by d?
12
Suppose -17*l + 37*l = 320. What is the remainder when 734 is divided by l?
14
Suppose -99*m + 4544 = -35*m. What is the remainder when m is divided by 15?
11
Suppose -55 = -7*w + 29. Suppose 3*h + 4*u = 119, w = 4*u + 4. Calculate the remainder when h is divided by (-13)/(0 - 2/2).
11
Let k be (-106)/(-8) - 7/28. Suppose 1 = -w + k. Suppose -v + 2 = -w. Calculate the remainder when 27 is divided by v.
13
Suppose 2*n = -465 - 839. Let w be 4/22 + n/(-44). Calculate the remainder when 4 is divided by 3*-5*(-2)/w.
0
Let q = 15 + -11. Suppose -q = 3*u + 14. What is the remainder when 10 is divided by 0/(u/3) + 4?
2
What is the remainder when 26994/108 - (-34)/612 is divided by 44?
30
Let b(c) = 12*c + 49. What is the remainder when 42 is divided by b(-3)?
3
Suppose 4*a = -3*d + 12, 0*d = 3*a -