4*c + 2210 = 170. What is the remainder when c is divided by 31?
29
Let t be 2*15/(-6) - (3 - 0). Suppose -3*s + 10 = q, -5*s + 6 + 9 = 2*q. What is the remainder when t/(5/10*-1) is divided by s?
1
Suppose 0 = -29*a - 1519 + 3955. Let z = -12 + 34. Calculate the remainder when a is divided by z.
18
Suppose -3*f + 46 = -f. Let z be 4/14 - (-82)/7. Let p = 24 - z. Calculate the remainder when f is divided by p.
11
Let k be 7/(-28) + 290/8. Suppose 0*j - k = -3*j. What is the remainder when j is divided by 8?
4
Suppose 25*z = 265 + 160. Calculate the remainder when 60 is divided by z.
9
Let g = -525 + 556. What is the remainder when 1486 is divided by g?
29
Suppose 0 = 4*u - 53 - 19. Suppose 97 - 92 = w. What is the remainder when u is divided by w?
3
Let h(w) = 4*w + 28. Let z be h(-4). What is the remainder when 122 is divided by (z/20)/(3/105)?
17
Suppose 3*w = -15 - 30. Let a = w - -29. Let r = -6 + a. Calculate the remainder when 15 is divided by r.
7
Let c = -38 - -47. Calculate the remainder when c is divided by 5.
4
Suppose 2815 = 22*f - 991. Calculate the remainder when f is divided by 11.
8
Let k(g) = 202*g - 163. Calculate the remainder when 249 is divided by k(1).
15
Let y be 4*(-4)/(8 - 0). Let r be 2*3/6*y. What is the remainder when (-34)/(-6)*(-18)/r is divided by 18?
15
Suppose 76 = -i + 2*i. What is the remainder when 300 is divided by i?
72
Suppose 277 + 58 = -5*u. Let x = u - -74. Calculate the remainder when 11 is divided by x.
4
Let g(k) = -60*k - 204. Calculate the remainder when 143 is divided by g(-4).
35
Let s(j) = -j**3 + 16*j**2 - 8*j - 32. Let n(z) = z**3 + 6*z**2 + 4*z + 5. Calculate the remainder when s(15) is divided by n(-3).
13
Suppose 3*n = -3*w - w + 28, 0 = -4*w + 4*n + 28. Let j(q) = 4*q + 13. Let x(s) = 9*s + 2. Calculate the remainder when j(w) is divided by x(1).
8
Suppose -7*g + 600 = -569. Calculate the remainder when g is divided by 47.
26
Calculate the remainder when (-915)/183 - (-3)/(6/116) is divided by 4.
1
Let j(b) = -b**3 + 5*b**2 - 3*b + 1. Let d be j(4). Suppose 2*x + d*a - 24 = 0, -4*a - 4 = -3*a. Calculate the remainder when x is divided by 8.
6
Let n(l) = l**2 + 3*l + 7. Let u be n(-3). Suppose 11*h - u*h = 36. Suppose 2*w + 3 = h. What is the remainder when 9 is divided by w?
0
Let m be (-54)/(-10)*(-4 + 9/1). Suppose -4*z = 2*v + 2, -4*z + 19 = -7*v + 2*v. What is the remainder when 50 is divided by 3/(-2 - z) + m?
24
Let o(v) = v**3 + 9*v**2 - 14*v - 1. Let u be o(-10). Suppose 3*b + 2*s = -u, s + 14 + 58 = -5*b. What is the remainder when b/(-4 - 7/(-2)) is divided by 11?
8
Let f = -35 + 42. Calculate the remainder when 130 is divided by (6/(-4))/(f/(-154)).
31
Let r = -1 + 3. Suppose 5*p + 3*g = r*g + 510, -4*g + 20 = 0. Calculate the remainder when p is divided by 52.
49
Suppose 0 = 4*i - 276 + 96. Let f = i + -3. Calculate the remainder when 123 is divided by f.
39
Let x(f) = 2*f**2 + 53*f + 438. What is the remainder when 602 is divided by x(-13)?
80
Suppose -3*p = g - 8, 5*p = -g + 4*g - 94. Let a = -10 - -5. Let s = 9 + a. Calculate the remainder when g is divided by s.
3
Let m = -256 + 259. Calculate the remainder when 19 is divided by m.
1
Suppose -4*x = 3*n + x - 33, -x = 3*n - 21. Calculate the remainder when -4 - (79/(-1) + 18/n) is divided by 15.
12
Suppose 5*h - 7*r - 60 = -2*r, 4*h - 3*r = 46. Let j be h*((-14)/4 + 2). Let u = j - -24. What is the remainder when 33 is divided by u?
6
Suppose -12 = -4*z - 0. Suppose -3*i - 7 = 4*w + 2, 5*i + z*w + 4 = 0. What is the remainder when 2 is divided by i?
0
Suppose -h - 4*h + v = 105, 5*v = -3*h - 63. Let b = -49 + 55. Calculate the remainder when b/h - 237/(-21) is divided by 6.
5
Let x = -38 + 53. Let r = -2 - -10. Calculate the remainder when x is divided by r.
7
Calculate the remainder when 209 is divided by (-1756)/(-32) + (-14)/(-112).
44
Let n = 533 - 422. What is the remainder when n is divided by 16?
15
Let q(c) = -1 + 9*c**2 - c**3 + 2*c + 2*c**3 + c - 2*c. Calculate the remainder when q(-7) is divided by (-2)/(-15) + (-7203)/(-315).
21
Let t = 12 - -26. Let c = 54 - t. Suppose -4*u + 48 + 76 = 0. What is the remainder when u is divided by c?
15
What is the remainder when 167 is divided by ((-2)/5 - (-192)/30) + 50?
55
Let a be 2 + (3 + -2 - -4). Let h(u) = -u + 12. Let k = 8 - 5. What is the remainder when h(a) is divided by k?
2
Let j(b) = -b**3 - 10*b**2 - 6*b + 10. Let l be j(-10). Suppose c + 4*c = l. Calculate the remainder when (1 - 5)*81/(-12) is divided by c.
13
Suppose 3*w = l - 4*l + 111, 4*l - 2*w - 136 = 0. Suppose 2*p + 66 - 26 = 0. Let f = l + p. Calculate the remainder when 41 is divided by f.
11
Let j = 157 - 79. Let a be j/(4 + (-33)/6). Let x = 134 + a. Calculate the remainder when x is divided by 28.
26
Let v(l) = 4*l**2 - 3*l - 2. Let a = 19 + 4. Calculate the remainder when a is divided by v(2).
7
Suppose 2562 = 20*b + 62. Calculate the remainder when b is divided by 7.
6
Let s(p) = -12*p - 3. Let k be (-2 + (-8)/(-4))/(1 - -1). Let a(c) = -2*c + 24. What is the remainder when s(-4) is divided by a(k)?
21
Let z = -1057 + 1189. Calculate the remainder when z is divided by 36.
24
Let q(m) = m + 34. Suppose 4*i + 12 = 2*v, v + 3*i + 9 = -v. Let b be q(v). Let h = b - 21. What is the remainder when h is divided by 5?
3
Suppose -25 = 2*k - 5. Let c = -11 - k. What is the remainder when 29 is divided by 10 + (-2 + 2 - c)?
7
Let l be (4/3)/((-6)/(-27)). Suppose k - c = -5*c - 6, -3*k = 4*c - l. What is the remainder when 77 is divided by 8/12 - (-152)/k?
25
Let p = 23 - 19. Suppose -205 = -p*k - 61. Calculate the remainder when k is divided by 13.
10
Let i(s) = s + 15. Let z be i(-7). Let w(x) = -z*x + 8*x + 4 + 2*x. What is the remainder when w(3) is divided by 3?
1
Let r(j) = j**2 - 2*j - 3. Let z be r(0). Calculate the remainder when 40 is divided by (-18)/((-1)/(-2) - z/(-2)).
4
Suppose -4*k - 186 - 259 = -3*o, -2*o - 2*k + 306 = 0. What is the remainder when 298 is divided by o?
147
Let k(n) = n**3 - 5*n**2 - 4*n - 1. Let d be k(6). Let x(j) = 15*j + 10 - 5 - j**2 + 8. What is the remainder when x(d) is divided by 20?
17
Let t(i) = -6*i + 8. Let b be t(-2). Suppose -b = 14*a - 2190. What is the remainder when a is divided by 12?
11
Let p = 36 + -36. Suppose p = 8*y - 5*y - 27. Calculate the remainder when 89 is divided by y.
8
Suppose 0 = -t + 93 + 26. What is the remainder when t is divided by 26?
15
Let j(b) = -4 + b + 3 - 2 + b**2. Suppose 2*o + 1 = -5. What is the remainder when j(o) is divided by 3?
0
Let h be 0 + 2 + 0 - -1. Calculate the remainder when 82 is divided by 16 - (8 - h - 1).
10
Let n(t) = 7*t**2 + 32*t + 7. Calculate the remainder when 102 is divided by n(-5).
14
Let w(p) = p**2 - 13. Calculate the remainder when 177 is divided by w(-5).
9
Let r = -9 + 19. Let q = 29 - r. Calculate the remainder when 36 is divided by q.
17
Let c = -20 - -46. Let o = -29 + c. Calculate the remainder when 4 is divided by (-4)/2 - (o + -2).
1
Let v(t) = 15*t - 5. Let a(q) = -q - 1. Let o(x) = 6*a(x) - v(x). What is the remainder when o(-2) is divided by 23?
18
Suppose 4*f = 5*i - 2194, 9*i - 11*i - 9*f + 867 = 0. Calculate the remainder when i is divided by 64.
54
Suppose 0*c - c + 5*u = 32, 4*u - 20 = 0. Let w = 1 - c. What is the remainder when w is divided by 6?
2
Let g = 107 + -92. Calculate the remainder when (-8)/(-3) - 3 - (-1340)/g is divided by 18.
17
What is the remainder when 46 is divided by 3*(1160/300)/((-4)/(-10))?
17
What is the remainder when 33924/253 + (-4)/46 is divided by 24?
14
Let p(u) = -u**3 + 25*u**2 - 19*u - 28. Calculate the remainder when p(24) is divided by 31.
30
Let p(q) = -4*q + 3. Let d be p(2). Let x be 1 + 8 + 1/(-4)*-4. Let k = x + d. What is the remainder when 7 is divided by k?
2
What is the remainder when (-3)/210*-637 + 2/(-20) is divided by 6?
3
Let u = -102 + 130. What is the remainder when u is divided by 15?
13
Let r(i) be the first derivative of -i**4/4 - 11*i**3/3 - 21*i**2/2 - 16*i + 30. Calculate the remainder when r(-10) is divided by 19.
18
Let r = 17 + -6. Let c(m) = 2*m + 17. Calculate the remainder when c(11) is divided by r.
6
Let p(s) = -2*s**2 + 25*s - 23. Let f(b) = b**3 + 5*b**2 - 2*b - 1. Let x be f(-5). Calculate the remainder when x/6*