3
Suppose 0*b + 27 = b. Let i(v) = v**3 + 20*v**2 + 100*v + 44. Calculate the remainder when b is divided by i(-8).
3
Let k = 464 - 460. Let a(r) = 2*r**3 - 8*r**2 + 4*r - 12. Calculate the remainder when 94/10 + (-2)/5 is divided by a(k).
1
Let l(k) = -k**3 - 29*k**2 + 121*k - 35. Let f be l(-33). Suppose 2*u - 214 = -z, 34*u - 31*u - f = -5*z. Calculate the remainder when u is divided by 10.
6
Let t(u) = u**3 + 4*u + 1. Let v(k) = 108 - 10*k - 213 + 120 - 8*k. Calculate the remainder when v(-8) is divided by t(3).
39
What is the remainder when -78*(-26)/5*485/388 is divided by 144?
75
Let j(d) = d**3 - 4*d**2 + d + 2. Let g be j(4). Let t be (-8)/g*12/8. What is the remainder when ((-3)/t)/(3/50) is divided by 9?
7
Let i = -1547 - -1637. Calculate the remainder when 2429 is divided by i.
89
Let y be (6/5)/(-4 - (-1981)/490). Suppose -3*x = 3*f - 8 - y, -38 = -3*f - x. Calculate the remainder when 18 is divided by f.
5
Suppose 0 = -6*a + 20 + 10. Let k(x) = 2*x**2 - 6*x - 1. Suppose 10*m + 11*m - 945 = 0. Calculate the remainder when m is divided by k(a).
7
Suppose 0 = -0*b + b - 2*y - 119, 0 = -2*y - 2. Suppose -3*s + 5*f = b, s + f + 56 = -3*f. Let i = s - -73. What is the remainder when i is divided by 15?
14
Let g be (-6)/(-27) + (-3)/(-27)*52. Suppose -g = d - 33. Calculate the remainder when 1/((-4)/(-536)) + 0 is divided by d.
26
Suppose 19*o = -111 + 2068. Calculate the remainder when o is divided by (10/(-4))/((-4)/56).
33
Let s = 514 - 493. Suppose 9*d = s*d - 2508. Calculate the remainder when d is divided by 42.
41
Let f = 4869 - 4808. What is the remainder when 429 is divided by f?
2
Suppose -z + 0*z = -80. Let f be (-42 + 45)/(-1 + 2). Suppose 0*w - w = f*y - 42, 0 = -y - 5*w + 14. Calculate the remainder when z is divided by y.
10
Let y be (7/63*-6)/((-2)/93). Calculate the remainder when 270 is divided by (-8097)/(-93) - 2/y.
9
Let m = 66 - 47. Suppose 16 = -4*k - 4*p, 0*p + 4*p - 11 = 5*k. Calculate the remainder when ((-1)/k)/(11/1848) is divided by m.
18
Suppose -4*a + 483 - 393 = j, -3*j = -4*a - 302. What is the remainder when j is divided by 6?
2
Let l(c) = c**3 - 77*c**2 - 163*c + 587. What is the remainder when l(79) is divided by 58?
18
Suppose h = -3*c + 121, 80 = 2*c + 5*h + 8. Calculate the remainder when ((-2)/(-14) - -1) + 33/8085*79835 is divided by c.
40
Let s = 4 + 0. Suppose -p + 5*r = -33 + 6, -s*p + 154 = 3*r. What is the remainder when p is divided by -107 + 94 - ((-410)/18 - (-76)/(-342))?
7
Let r = -1177 - -1185. What is the remainder when 420 is divided by r?
4
Let n(g) = -7*g + 4. Let z be n(-3). Let f = z - 23. What is the remainder when (-112)/(((-4)/16)/(f/8)) is divided by 29?
25
Let n(y) = -6*y - 21. What is the remainder when (1*-71)/(3/15*175/(-35)) is divided by n(-6)?
11
Let p = 65 - 22. Suppose -38 - p = -3*o. Suppose -5*w - 5*h + 49 + 46 = 0, 0 = -2*w - 5*h + 44. Calculate the remainder when o is divided by w.
10
Suppose m - 59*w = -62*w + 63, 3*w = 4*m - 402. Suppose -2 + 10 = z. Calculate the remainder when m is divided by z.
5
Suppose -427 = -26*v + 74 + 201. Calculate the remainder when 4472 is divided by v.
17
Suppose -40*n + 43*n + 3*d - 651 = 0, 5*n + 2*d = 1058. Calculate the remainder when 822 is divided by n.
198
Suppose 4*g - 268 = -2*k, 0 = -9*g + 3*k + 1615 - 892. Suppose 980 + 812 = 4*z. Calculate the remainder when z is divided by g.
73
Let p(d) = d**3 - 37*d**2 + 209*d + 121. Suppose -25 - 35 = -5*b. Calculate the remainder when p(30) is divided by b.
7
Let v(b) = -b**3 - 77*b**2 + 155*b - 153. Calculate the remainder when 234 is divided by v(-79).
66
Suppose 147 = 12*u + 3. Let f(v) = -28*v. Calculate the remainder when f(-1) is divided by u.
4
Let i = -50 - -265. Calculate the remainder when i is divided by (-149 - 6)*(-32)/160.
29
Let k(s) = -s**2 + 19*s + 7. Let p(z) = 2*z**2 - 39*z - 15. Let x(y) = 13*k(y) + 6*p(y). Calculate the remainder when x(12) is divided by (2/2)/((-2)/(-16)).
5
Let u = -18 + 18. Suppose t - 3*c - 27 = u, 104 = -5*t - 5*c + 319. Calculate the remainder when 135 is divided by t.
18
Let t = -14 - -14. Suppose 239 = 3*r - t*k - 2*k, r - 93 = -2*k. Calculate the remainder when r is divided by -1 + 0 + 0/(-5) - -23.
17
Let o be ((-4)/(-6) - 0)/(56/(-672)). What is the remainder when 136/((13 - 3) + o) is divided by 40?
28
Suppose 0*v + 3*v - 246 = 0. Let g be 1/(2/3*13/26). What is the remainder when v is divided by 0 - 1 - (g + -47)?
39
Let b(w) = w**3 - 16*w**2 + 23*w - 9. Let f = 314 + -284. Calculate the remainder when b(15) is divided by f.
21
Suppose 2706 = -10*a + 546. Let c = a - -219. Calculate the remainder when 2*-3*(-6)/4 is divided by c.
0
Suppose -323*h - 40 = -328*h + 345. Let x = 33 - 17. What is the remainder when h is divided by x?
13
Let j(u) = 3*u**2 + 33*u + 33. Let x be j(-10). Suppose -3*p = a - 209, 9*p = 12*p - x*a - 213. What is the remainder when p is divided by 57?
13
Let v(p) = -p**3 + 33*p**2 + 76*p + 461. What is the remainder when v(27) is divided by 82?
81
Let s(u) = -2*u. Let y(j) = -j - 44. Let q(l) = -4*s(l) - 2*y(l). Calculate the remainder when 51 is divided by q(-7).
15
Suppose -4*v + 2*t + 1788 = -2*t, v + 3*t = 459. Suppose 8 = 3*z - 7*z. What is the remainder when (v/3)/2 - z is divided by 13?
12
Let v = -5 - -2. Suppose 3*j = 7*j + 3*r - 105, 0 = -4*r - 20. What is the remainder when j + (-1)/((3/2)/v) is divided by 12?
8
Let y = -44 + 51. Suppose -3*r + 4*d = -158, 0 = 2*r - 3*d - 60 - 46. Let s = r - 23. What is the remainder when s is divided by y?
6
What is the remainder when (-2 - (-2 - 14)) + -2 is divided by 4*70/(-80) - (-2201)/142?
0
Let a(o) = -o - 8. Let g be a(2). Let v(x) = 5*x - 4. Calculate the remainder when ((-4)/g)/((-12551)/(-2090) + -6) is divided by v(6).
24
Let g = 56 + -58. Let i be 1 - ((g - (6 + -3)) + 3). Suppose -17 = i*n - 56. What is the remainder when 18 is divided by n?
5
Suppose -5*p + 4*o = -179, -291*p + 288*p = o - 121. What is the remainder when 139 is divided by p?
22
Suppose 3*i - 4*r - 78 = 0, 0 = -5*i - 0*i - 5*r + 95. What is the remainder when 1251 is divided by i?
19
Suppose 0 = 304*s + 1146 - 6010. What is the remainder when 1463 is divided by s?
7
Let j = 166 - 159. Suppose -j*u + 322 = -112. What is the remainder when u is divided by 17?
11
Suppose 10*v - 350 = 60. Let w(j) = 4*j**2 + 39*j + 208. Calculate the remainder when w(-7) is divided by v.
8
Let c be (6/(-12))/((-1)/78). Let t = c + 92. Suppose 12 = 2*i + 2*i + 4*v, -2*v = -i + 15. What is the remainder when t is divided by i?
5
Suppose 9*s = -461 + 695. Calculate the remainder when 3526 is divided by s.
16
Let i(b) = 4*b**3 + 3*b**2 - 25*b + 80. What is the remainder when i(7) is divided by 95?
94
Let w(y) = 24*y**2 - 5*y - 6. Let p be w(-2). Suppose -p = -9*k + 35. What is the remainder when 42 is divided by k?
12
Suppose -2*p = 241*x - 237*x - 40, 0 = -2*x - 3*p + 24. Calculate the remainder when 27 is divided by x.
0
Let h = 34122 + -33954. Calculate the remainder when 324 is divided by h.
156
Let p(v) = -46*v**2 - 2170*v + 65. Calculate the remainder when p(-47) is divided by 125.
66
Suppose 2*w - 32 = -2*h + 14, 4 = 4*h. Let f be 4*(-2 + (-565)/20). Let o = f - -127. What is the remainder when w is divided by o?
4
Suppose -4*u = f - 1051, 0*u - 3*u - 2*f + 792 = 0. Suppose -627 = -162*x + 143*x. What is the remainder when u is divided by x?
31
Let f(n) = 9*n + 119. Calculate the remainder when f(-12) is divided by 11.
0
Let u(w) = -w**3 - 14*w**2 + 39*w + 141. What is the remainder when 321 is divided by u(-16)?
2
Let k = 78 + 190. Let v be 3/((-36)/k)*-3. Let s = v + -18. Calculate the remainder when 195 is divided by s.
48
Suppose 3*u - 30 = n, 0 = 4*u + n - 5*n - 40. Suppose 0*h + 3*b = 3*h - 192, 4*h - 251 = 5*b. Let t = 107 - h. Calculate the remainder when t is divided by u.
8
Let d(p) = 3*p + 2. Suppose -55 = -9*l + 4*l. Suppose -5*k + 5*q + 750 = 60, 0 = 3*k + 4*q - 421. What is the remainder when k is divided by d(l)?
34
Suppose -84*b - h - 150 = -87*b, 230 = 5*b + 5*h. Suppose 0 = -3*j + 209 + 955. What is the remainder when j is divided by b?
45
Let d = 38 + -1. Let p = -138 + 141. Suppose 57 = p*x - 0*x. What is the remainder when d is divided by x?
18
Let z = 180 + -177. Calculate th