Let b = -730 - -780. What is the remainder when b is divided by 13?
11
Let r(b) = 2*b**2 + 5*b**2 - 3 - 4*b**2 - b**2. Suppose 0 = k + 4*s - 94, 0 = -3*k - 4*s + 391 - 69. What is the remainder when k is divided by r(4)?
27
Let x be (10/3)/5*3. Let o(s) = 2*s**2 + s + 1. Let c = -2 - -23. Calculate the remainder when c is divided by o(x).
10
Let y(c) be the first derivative of -2*c**2 + c - 6. Let h be (10/4 + 1)*-4. What is the remainder when y(h) is divided by 20?
17
Let y = 10 - -11. Suppose -3*w + 214 = -95. Calculate the remainder when w is divided by y.
19
Let u(f) = f**2 - 7*f - 10. Calculate the remainder when 277 is divided by u(-2).
5
Let m = 132 + -89. Suppose 3*p + 7 = m. Let o(n) = -n**2 + 12*n - 1. Calculate the remainder when o(5) is divided by p.
10
Suppose -3 = -q, 22 = -4*m + 8*m + 2*q. Suppose 14 = -40*l + 38*l. Let c = 4 - l. What is the remainder when c is divided by m?
3
Let m(t) = -t**2 + 7*t + 1. Let j be m(6). What is the remainder when (-10)/8 + (-4439)/(-92) is divided by 2 + j + 2 + 1?
11
Suppose -2*m + 140 = -2*h, 4*m + 42 = -4*h + 298. Suppose -70*j + 117 = -m*j. What is the remainder when 192 is divided by j?
36
Suppose -29*d + 34*d = 4*j + 266, -d = -2*j - 58. What is the remainder when 1348 is divided by d?
48
Let p = 6441 + -6425. Calculate the remainder when (1 - (-50)/(-4))*-8 is divided by p.
12
Suppose 0 = 31*y - 13*y - 486. What is the remainder when 72 is divided by y?
18
Let f(u) = u**2 + 25*u - 56. Calculate the remainder when f(-36) is divided by 49.
46
Let c be (-1)/(-4) - (-57)/12. Suppose c*y - 75 = 5*g, 4*y - 5*g - 51 = y. Let t(m) = -m**2 - 4*m + 226. Calculate the remainder when y is divided by t(-17).
2
Suppose 4*d = 4*o + 42 - 258, 0 = 4*o + 3*d - 202. Calculate the remainder when 102 is divided by o.
50
Suppose 0 = 4*q + 16, p = -3*q - 0 - 7. Suppose 3*s + 2*w = 243, 96 = 2*s - p*w - 66. Suppose 78 = 3*z + 15. What is the remainder when s is divided by z?
18
Let j = -334 + 350. Calculate the remainder when 17 is divided by j.
1
Suppose 7*m - 2*m - 45 = 0. Let b(g) = -2*g**2 - 6*g + 4. What is the remainder when m is divided by b(-3)?
1
Let k be (3/(-2))/((-16)/(-32)). Calculate the remainder when (-9)/(-2)*(-22)/k is divided by 9.
6
Suppose -z - 48 = -y - 4*y, y + 4*z = 18. Calculate the remainder when 3*y*60/75 is divided by 7.
3
Calculate the remainder when -17 + 24 + (281*-6)/(-3) is divided by 57.
56
Let i(q) = -q**3 + 2*q**2 - 4*q + 32. Let t be 3/(-9) - 2/(-6). Suppose j + 3*y = 19, 3*j - 3*y - 5 - 4 = t. What is the remainder when i(3) is divided by j?
4
Let p(o) = -o**3 + 33*o**2 + 10*o - 300. What is the remainder when p(33) is divided by 9?
3
Let j = -27 + 50. Suppose 7*c = -5*p + 311, 41*p = -c + 37*p + 51. What is the remainder when c is divided by j?
20
Let v(i) = i**2 + 7*i + 4. Let c be v(-7). Suppose 0 = -j + c*k + 14, k + 4 = -k. Calculate the remainder when 26 is divided by j.
2
Suppose -j = -4, 419*r - 2*j = 418*r + 115. What is the remainder when r is divided by 15?
3
Suppose 0 = -4*s + 272 - 264. What is the remainder when 45 is divided by s?
1
Suppose 35*p - 6882 = -2*p. Calculate the remainder when p is divided by 21.
18
What is the remainder when (3 + 3)/6 - -7 is divided by 6?
2
Let f = 399 - 389. Calculate the remainder when f is divided by 4.
2
Let m be (-14 - -11)*10/(-3). Suppose 0 = m*x - 11*x + 12. Calculate the remainder when 31 is divided by x.
7
Let m = 20 + 7. Let o(j) = j**2 - 16*j + 24. Let t be o(16). Suppose -b = -2*u + b + t, 2*b = 3*u - 38. What is the remainder when m is divided by u?
13
Let y(a) = -2*a**2 - 43*a - 18. Calculate the remainder when y(-20) is divided by 6.
0
Let r(m) = -2*m**2 + 43*m + 24. What is the remainder when r(21) is divided by 19?
7
Suppose -2*b + 9*b - 84 = 0. Let i(x) = x + 7. Let g be i(-4). Suppose g*s + 0*s = 138. Calculate the remainder when s is divided by b.
10
Let t be 44/(-10) - (-12)/30. Let f be 220/60 - t/(-6). Suppose 5*a = f*d + 20, 0*a + a + 2*d - 4 = 0. What is the remainder when 9 is divided by a?
1
Suppose t - 2*o = -4*t + 268, 105 = 2*t - 3*o. What is the remainder when 106 is divided by t?
52
Suppose -4*h - 5*w = -11, -w = -5*w - 20. Suppose r - 5*k = h, -r + 2*k + 2*k + 8 = 0. What is the remainder when 17 is divided by r?
1
Suppose -5*u - 29 = -6*u. Let o = 37 - u. Calculate the remainder when 21 is divided by o.
5
Let b(j) = -j**3 - 11*j**2 + 5*j - 146. Calculate the remainder when b(-13) is divided by 6.
1
Let n(v) = -v**3 - 41*v**2 - 48*v - 230. What is the remainder when n(-40) is divided by 30?
0
Let x(m) = -m**2 - 29*m - 21. Let s be x(-25). Suppose -6*g - s = -457. Calculate the remainder when g is divided by 23.
17
Let n(r) = -14*r**3 - r**2 - 3*r - 2. Let y be 8/24 - 4/3. Calculate the remainder when 95 is divided by n(y).
11
Let c be 2/(-4) - (0 + (-28)/8). Suppose 0*d = -3*d - 3*z + 42, 0 = -c*d + 5*z + 10. What is the remainder when 108 is divided by d?
8
Let y = -250 + 296. Calculate the remainder when y is divided by 8.
6
Let b = 233 - 133. Let i = 124 - b. What is the remainder when 237 is divided by i?
21
Calculate the remainder when (-348)/(-57) + (-6)/57 - -222 is divided by 124.
104
Suppose -5*y + s - 6*s + 90 = 0, 0 = -2*y + 4*s + 12. Let k = 18 + -17. What is the remainder when k/((15/(-200))/(-3)) is divided by y?
12
Suppose p = 6*p - 20. Suppose 0 = p*i + i - 210. Suppose 18 + i = 2*k. What is the remainder when k is divided by 11?
8
Calculate the remainder when -2 + (-7)/((-14)/180) is divided by 1 - 4 - 5/((-95)/228).
7
What is the remainder when 38 is divided by 8 + 12/(16/(-4))?
3
Let b = 8 - 6. Suppose -2*t + 22 - 16 = 0. Let p = b + t. What is the remainder when 17 is divided by p?
2
Suppose 0 = 3*s - 0*l - 4*l - 25, 3*l + 3 = -3*s. Let d = 6 - s. What is the remainder when -4 - (-13 + -2 + 6) is divided by d?
2
Suppose 2*w = 114 + 102. Let g = w + -41. Calculate the remainder when g is divided by 17.
16
Suppose -w = -5*o + 629, 4 = -w + 5. What is the remainder when o is divided by 45?
36
Calculate the remainder when (-2)/8 - (2 + (-31761)/36) is divided by 49.
47
Suppose -8*l + 3*l = -15. What is the remainder when 68/6 - 18/54 is divided by l?
2
Suppose -2*b = -4 - 16. Suppose -2*i = b - 22. What is the remainder when 112 is divided by i?
4
Suppose -h + 3*h - 2*d = 14, 2*d - 14 = -5*h. Let g(m) = m - 4. Let y be g(5). Calculate the remainder when -9*(-2 + 1)*y is divided by h.
1
Suppose -20 = -q + 5*a, 4*q + a - 68 = 54. Suppose -40 = 3*i - 8*i. Calculate the remainder when q is divided by i.
6
Let r be 9 + -6 + 3 + -3. Suppose 4*x + r*d + 4 = 0, -2 = 2*x - 0*x + 3*d. Let g = 14 - x. What is the remainder when 28 is divided by g?
13
Let k = -73 - -71. Calculate the remainder when 5 is divided by (-1)/(-3)*k*(-6)/1.
1
Suppose 0 = -16*y + 64 + 16. Calculate the remainder when y is divided by 4.
1
Suppose y = 4*y + 90. What is the remainder when ((-22)/(-55))/((-1)/y) is divided by 5?
2
Suppose 0 = -22*l + 27*l + 220. Let k = 62 + l. Calculate the remainder when k is divided by 11.
7
Let h(z) be the third derivative of 0*z + 0 - 4/3*z**3 + 1/10*z**5 - 6*z**2 - 1/120*z**6 + 1/12*z**4. Calculate the remainder when 51 is divided by h(5).
24
Suppose -5*i + 25 = -10*i. Let b(d) = 3*d**2 + 2*d + 5. What is the remainder when b(i) is divided by 12?
10
Let d = -8 + 11. Suppose -4 = 2*y, 3*t = -0*t + y - 7. Calculate the remainder when 30 is divided by 8 + 3 - (t + d).
8
Suppose -1097*m + 1105*m = 4024. Calculate the remainder when m is divided by 24.
23
What is the remainder when 10/(-155) + (-28776)/(-124) is divided by 40?
32
Suppose -12*u + 43 + 77 = 0. Suppose 3*v + 112 = u*v. What is the remainder when 60 is divided by v?
12
Let o(w) = w + w**2 + 8*w + 2 - w. Let b be o(-8). Suppose -b*r - 48 = -5*r. What is the remainder when 61 is divided by r?
13
Calculate the remainder when (-95)/(-35) + -3 - (-2064)/21 is divided by 9.
8
Let v = 1324 + -1257. What is the remainder when v is divided by 32?
3
Suppose 2*t - 15 = -5*s + 2*s, 0 = -t - 3*s. Let d(b) = 4*b**2 + 186*b - 24. Calculate the remainder when d(-47) is divided by t.
10
Calculate the remainder when 295 is divided by 20/10 + 37 + -2.
36
Let l be (-4065)/(-7) - (150/(-35) + 4). Suppose 0 = -5*n + l + 9. Calculate the rem