6*b = 3*n - 120, 4*b = -3*n - 273 + 253. Let i be 2*(2 + 2)*-1. Calculate the remainder when i/(-3)*(-33)/(-4) is divided by n.
10
Suppose -170*u = -19814 + 2304. What is the remainder when 609 is divided by u?
94
Let z = -36466 - -39071. What is the remainder when z is divided by 145?
140
Let u = 153 + -143. Let c(g) = 3*g**2 - 24*g - 16. What is the remainder when 128 is divided by c(u)?
40
Suppose -3*s + 13 = 1. Let a(q) be the first derivative of q**4/4 - 2*q**3/3 - q**2/2 - 7*q + 8. Calculate the remainder when 38 is divided by a(s).
17
Suppose 3 - 7 = -4*l. Let s(x) = 2*x**2 - x - 2. What is the remainder when s(4) is divided by 4 + 13 + -4 + l?
12
Let o(q) = -3*q - 10. Let a be o(-4). Calculate the remainder when 51 is divided by 561/44 - a/(-8).
12
Let r = -29 + 26. Let c be r/(-2)*(-4)/(-12)*6. Suppose -5*g - 3*j + 362 = 0, -3*j = -g - c*g + 268. Calculate the remainder when g is divided by 18.
16
Suppose -5*c + 3386 = 846. Let g = -465 + c. What is the remainder when 256 is divided by g?
41
Suppose -k = -2*i + 1058, 13*i - 2*k = 17*i - 2108. Calculate the remainder when i is divided by 52.
8
Let z be (-2)/8 - (-63)/12. Suppose 4*v + 4*d - 26 - 10 = 0, v - z = -3*d. What is the remainder when 173 is divided by v?
8
Suppose -23*z + 41405 = -6*z - 9986. Calculate the remainder when z is divided by 63.
62
Let s(q) = -117*q**2 + 3*q. Let l be s(1). Let n = l - -151. What is the remainder when n is divided by 3?
1
Suppose 6*h + 779 = 25*h. Suppose -11*k + 256 = -h. Suppose z + 0*z - 187 = 0. Calculate the remainder when z is divided by k.
25
Let b = 198 + -144. Let r(i) = i**3 - 55*i**2 + 60*i - 224. What is the remainder when r(b) is divided by 17?
15
Suppose -5*a + 121 = -119. Suppose 2*s - 16 = b, 0 = 3*s - b + 26 - 48. What is the remainder when 169 is divided by 196/s + 64/a?
33
Let w = 255 + -255. Suppose w = 5*t + 4*l - 752, t - 4*l + 19 = 155. What is the remainder when t is divided by 77?
71
Suppose 3169 = 842*u - 861*u + 13334. Calculate the remainder when u is divided by 87.
13
Let n be 5/5*(8 + -1). Suppose -4*l = 3*g - 25, 0*g - g - l + n = 0. What is the remainder when 31 is divided by 4 - 12/(-9)*g?
7
Suppose v - 2 = 2*v. Suppose 40*h - 5*h - 595 = 0. What is the remainder when h is divided by (-5)/(-1)*(-1 - v)?
2
Let s(f) = 9*f**2 - 778*f + 109. Calculate the remainder when s(90) is divided by 149.
9
Calculate the remainder when 1074 is divided by ((-7)/((-70)/4))/(-4 + 49610/12400).
82
Let g = -15 + -249. Let h = -79 - g. Calculate the remainder when h is divided by 47.
44
Suppose -7*k + 877 = -432. Let v = -10 + 15. Calculate the remainder when (-241)/(-11) + 17/k is divided by v.
2
Calculate the remainder when 1 + 308 + 45/(1215/(-216)) is divided by 38.
35
Let u = -3 + 14. Let q be ((-99)/132)/(((-5)/(-384))/(-5)). Suppose u*v - 5*v - q = 0. Calculate the remainder when v is divided by 17.
14
What is the remainder when (-2)/(-5) - 646/(-10) is divided by -24 + (60 - 130) + 128?
31
Let z(v) = -v + 70. Let g(b) = b**2 + 3*b - 2. Let n be g(6). What is the remainder when z(-9) is divided by (-568)/(-26) - (-8)/n?
13
Let h be 5 + (-3 - (-7 + 9)). Suppose h = 4*p - 39 - 597. Calculate the remainder when p is divided by 39.
3
Let y be (1 + 0 + 8)/((-5)/210). Let a = y - -411. Let o = -69 - -133. Calculate the remainder when o is divided by a.
31
Let g = -25299 - -25470. Calculate the remainder when 1377 is divided by g.
9
Let p(j) = 2*j**2 - 240*j - 1977. Calculate the remainder when p(-9) is divided by 336.
9
Let b(d) = d - 3. Let s be b(8). Suppose -2*r = -0*r - 8, -k + s = -r. Let m = 1212 - 1152. Calculate the remainder when m is divided by k.
6
Calculate the remainder when (6 - 140)/((-33)/165) is divided by 87.
61
Let m = -494 - -594. What is the remainder when 1790 is divided by m?
90
What is the remainder when 0 + (11778 - -1) - (-11 + (9 - -5)) is divided by 95?
91
Let r(k) = -32*k**3 + 2*k**2 + 96*k + 458. Calculate the remainder when r(-5) is divided by 63.
59
Suppose 3*s + 6*q - 309 = 0, -1 - 320 = -3*s - 2*q. What is the remainder when s is divided by 38?
33
Suppose 25796 = 192*y - 22204. Calculate the remainder when 279 is divided by y.
29
Let n(a) = a**2 - 3*a - 3. Let o = 16 + -11. Suppose 332*t = 642*t - 3100. What is the remainder when t is divided by n(o)?
3
Suppose -5*i = -4*c + 172, 251*c = 250*c + 3*i + 43. What is the remainder when 5715 is divided by c?
39
Suppose 4*s = -u - 8 - 160, 5*u + 3*s = -925. Let o = -51 - u. What is the remainder when o is divided by 35?
32
Let p(m) = -m + 31. Let n be p(0). Let k = 63 - n. What is the remainder when k is divided by (-16)/(-40)*-5 + (-8 - -19)?
5
Suppose -8*h = -2*h - 42. Suppose -15 = 4*l - h*l. Let v(p) = -p**3 + 6*p**2 + p - 1. Calculate the remainder when v(l) is divided by 17.
12
Suppose 0 = 6*r - 4*r - 22. Suppose r*k - 6*k - 95 = 0. Suppose 0 = 4*v + 52*v - 2016. What is the remainder when v is divided by k?
17
Suppose -248873 = -552*d + 591271. Calculate the remainder when d is divided by 191.
185
Suppose -2*y - 5*c + 144 = 0, -144*c = -141*c - 6. Calculate the remainder when y is divided by 9.
4
Let l = 20 + -36. Let t be (4/6)/(l/1608). What is the remainder when 960/13 + -5 + t/(-13) is divided by 19?
17
Let u(z) = -z + 38. Let s be u(0). Let m = s - 42. Calculate the remainder when ((1 - 3 - 0) + m)*-3 is divided by 11.
7
Let c(v) = v**2 + 25*v - 815. Let w be 148/2 - 1 - 3. Suppose 4*m = 2*n - 0*n - 88, 0 = 2*n + 5*m - w. Calculate the remainder when n is divided by c(-44).
19
Let k(n) = 75*n + 306. What is the remainder when 769 is divided by k(-2)?
145
Let w(i) = 109*i**2 - 1. Let s be w(1). Let b(r) = 9*r - 31. Let k be b(10). Let y = s - k. What is the remainder when y is divided by 25?
24
Let x = -7484 - -7795. Calculate the remainder when 15548 is divided by x.
309
Suppose 3*z - 10*z + 35 = 0. Suppose 3*j = z*p - 2*j - 45, 9 = 3*j. Calculate the remainder when (118/(-4))/(2/(-4)) is divided by p.
11
Let r = 305 + -284. What is the remainder when (12/r)/(30/35)*141 is divided by 32?
30
Let n = 82 - -3. Let i = n + -53. Let b = 1088 + -1026. What is the remainder when b is divided by i?
30
Let x be ((-150)/(-8))/(2/24). Let l = 308 - x. Calculate the remainder when l is divided by 21.
20
Suppose 15*f + 13216 = 43*f. Suppose -4*n + f = 3*c - 70, 3*n = c + 400. What is the remainder when n is divided by 34?
32
Let g(v) be the second derivative of -v**4/12 - v**3/6 + 83*v**2/2 - 3*v + 11. What is the remainder when g(0) is divided by 18?
11
Let k = 406 + 229. Calculate the remainder when k is divided by 324/(-378) - 3*1885/(-105).
52
Suppose 6209 = 154*v + 665. What is the remainder when 573 is divided by v?
33
Let l(u) = -35*u - 1. Let k be l(6). Let w = k + 266. Calculate the remainder when w is divided by 37.
18
Suppose -5*o + 525 = 5*r, 15*r - 5*o - 420 = 11*r. Calculate the remainder when 362 is divided by r.
47
Suppose 13255 = -31*s + 86*s. What is the remainder when s is divided by 49?
45
Suppose 55*o - 2384 = 53*o + 2*r, 3*o - 3578 = 5*r. Suppose o + 4197 = 6*c. What is the remainder when c is divided by 31?
30
Suppose -3*i = 2*a - 1151, 2*a + 1171 = 3*i - 0*a. Suppose -57*h = -2936 - 256. What is the remainder when i is divided by h?
51
Let a(j) = j**2 + j - 49. Let q(y) = -y**2 - 37*y + 85. Let h be q(-39). Suppose m - 61 = -21. What is the remainder when m is divided by a(h)?
5
Let q = -156 - -169. Let a(r) = 4*r**2 - 7*r + 6. Let y be a(5). Let n = 106 - y. Calculate the remainder when n is divided by q.
9
Let c = 1684 - 1681. Calculate the remainder when (42 + -1)/(2/6) is divided by c.
0
Let r(k) = -k**3 - k**2 - 1. Let a(g) = 2*g**3 + 10*g**2 - 2*g + 9. Let w(j) = -a(j) - 3*r(j). What is the remainder when 3/(-6*4/16) + 31 is divided by w(7)?
5
Let v = 437 - 254. Suppose 4*o = 94 - 14. Calculate the remainder when 9821/v - (-1)/3 is divided by o.
14
Let i be -6 + 2 - (24 + -7). What is the remainder when (-1)/(-2)*10*1 is divided by 6*(28/i + (2 - 0))?
1
Suppose -18*o + 19*o - 71 = 3*f, 0 = 2*o - 5*f - 144. Let q(b) = 14*b**3 - b**2 + b - 1. Calculate the remainder when o is divided by q(1).
12
Let x = -17179 + 21625. Calculate the remainder when x is divided by 131.
123
Let t be (-6)/((-90)/(-3))*-5. Calculate the remainder