 5*c - 5*a - 2*a = 4092. What is the remainder when 1638 is divided by c?
4
Let c(f) = 5*f**2 - 87. Let m be c(6). Suppose -m = -10*k + 187. Calculate the remainder when 218 is divided by k.
22
Let z(m) = -24*m - 59. Let g be z(13). Let u = -239 - g. Let j(o) = -6*o - 9. What is the remainder when u is divided by j(-6)?
24
Let i(c) be the second derivative of 9*c**3/2 - 8*c**2 - 2*c + 14. Calculate the remainder when i(6) is divided by 37.
35
Let t = 312 + -321. Let n(g) = g**3 + 8*g**2 - 28*g - 19. Suppose 6 = x - 11. Calculate the remainder when n(t) is divided by x.
16
What is the remainder when 1 + -7 + (-118 - -516) is divided by 103?
83
Suppose -2*d + d = 2*k - 111, -2*d - 264 = -5*k. Suppose 4*z + k = 2*s - 26, 3*z = -2*s + 52. Calculate the remainder when s is divided by 18.
14
Let m(u) = 36*u**2 + 22*u + 121. What is the remainder when m(-6) is divided by 423?
16
Suppose 0 = 177*p - 174*p - 2*i - 19, p = 4*i - 7. What is the remainder when 592 is divided by p?
7
Suppose -99 = -r - 19*f + 20*f, 2*f + 396 = 4*r. Calculate the remainder when 249 is divided by r.
51
Let n = 1523 + -1509. What is the remainder when 400 is divided by n?
8
Let b(r) = r**2 - 26*r - 221. Suppose 31*d = 28*d - 36. Calculate the remainder when b(d) is divided by 12.
7
Let t(w) = w**2 + 8*w + 20. Let f(a) = -2*a**2 + 2*a - 3. Let v = -37 - -39. Let x be f(v). Calculate the remainder when t(x) is divided by 8.
5
Suppose -31*f - 43029 + 53135 = 0. What is the remainder when f is divided by 128?
70
Let w be 57*3*(-1 - -6 - 4). Suppose f - 90 = -4*b, w = 2*f + 9*b - 4*b. What is the remainder when f is divided by 20?
18
Calculate the remainder when (-1 + 3 + -12)/(113/(-73450)) is divided by 197.
196
Let w(j) = -j**2 - 16*j + 59. Let l be w(-19). Suppose f = -l*d - d + 237, -9 = 3*f. Calculate the remainder when d is divided by 19.
4
Let b(v) = 87*v - 4074. Calculate the remainder when 1407 is divided by b(49).
84
Suppose 0 = t + 3*k - 162, -4*t = -0*t - k - 622. Suppose -x - 4*l + 22 = 0, 158*x - 160*x + 80 = -4*l. What is the remainder when t is divided by x?
20
Let l = 4315 - 4177. Calculate the remainder when l is divided by 114.
24
Suppose i = 4*h + 100, 4*i + 52*h - 465 = 55*h. What is the remainder when 436 is divided by i?
76
Suppose 10*l + 240 = 14*l. Suppose 39*y - 35*y = l. What is the remainder when 35 is divided by y?
5
Suppose 2*v = -3*v + 375. Suppose 0 = -b - 2*r + 7, -2*b - 4*r = -5*r - 24. Calculate the remainder when v is divided by b.
9
Suppose 0*s = 3*s - 348. Suppose -4*f - 2*u - 230 = 0, -5*f + 2*u - u = 270. Let t = s + f. Calculate the remainder when t is divided by 31.
30
Let d(c) = 9*c - 30 + 20 + 6 - 160. What is the remainder when 207 is divided by d(24)?
51
Let v(p) = 40*p**2 + 272*p + 76. Calculate the remainder when v(-8) is divided by 45.
10
Let s = 24498 - 19498. Calculate the remainder when s is divided by 1662.
14
Suppose 1498 = 29*f - 677. Let v be 4 + (-3)/(9/6). Suppose -v*g = -18 - 22. What is the remainder when f is divided by g?
15
Suppose -3*v = -v - 6. Suppose -6*b + 3 = -v*b. Suppose -12*k - 52 = -64. What is the remainder when k is divided by b?
0
Suppose 5*c = 5, a - 2*c + 198 = 5*a. Let k(m) = 312*m + 3452. Calculate the remainder when a is divided by k(-11).
9
Let h = 111 + -47. Let r = 105 - h. What is the remainder when r is divided by 23?
18
Let r be (6/4)/(-3) - 11/2. Let t = 3 - r. What is the remainder when (1 + 11)/3 + (-55)/(-5) is divided by t?
6
Let h(a) = -20*a - 10. Let w be (1 + (-30)/8)/(1/(-12)). Let m = w + 84. What is the remainder when m is divided by h(-1)?
7
Suppose -226*q - 159*q = -24975 - 21995. Calculate the remainder when 1701 is divided by q.
115
Suppose -4*d + 2*n + 4 = 0, -8 = 3*d - 4*n - 1. Suppose -4*s - 3*k + 99 = -s, s - d*k = 33. What is the remainder when s is divided by 9?
6
Suppose -v = -n + 111, 2*v - 5*v - 3*n = 333. Suppose -7021 - 7172 = -171*j. What is the remainder when j is divided by v/(-4) - (-1)/4?
27
Let z = -11264 - -11322. Let o = -424 - -602. Calculate the remainder when o is divided by z.
4
What is the remainder when 237 is divided by -2 + 616/11 + 12?
39
Let k(w) = 162*w + 3910. Calculate the remainder when 1140 is divided by k(-24).
18
Suppose -5*k + 2*m = -0*k - 2216, -433 = -k - 3*m. Suppose 449*i - 315 = k*i. Calculate the remainder when 50 is divided by i.
5
Suppose -359*x + 361*x - 3*p = 31, 12 = 4*p. What is the remainder when 613 is divided by x?
13
Suppose 2*m + 150 + 60 = 0. Calculate the remainder when 152/6 - ((-20)/12)/(-5) is divided by (m/(-14))/((-1)/(-2)).
10
Let n(o) = -8*o**2 + 21 - 79*o + 7*o**2 + 64*o. Let a = -6 - 4. Calculate the remainder when n(a) is divided by 18.
17
Let a = 36 - 50. Let r(d) = 33*d - 13. What is the remainder when r(1) is divided by a/(-5)*5/2?
6
Suppose -14*u - 25*u = u - 1840. What is the remainder when 827 is divided by u?
45
Suppose 33 + 69 = g - 81. What is the remainder when 732 is divided by g?
0
Let r be (-71456)/(-220) - (-1)/5. Let v = r + -294. What is the remainder when 179 is divided by v?
24
What is the remainder when 8718 is divided by (-33)/77*196/(-6)?
10
Let a be ((-126)/27)/(1*(-4)/6). Let q(n) = n**3 - 6*n**2 + 5*n - 13. What is the remainder when q(a) is divided by 5?
1
Suppose -72 = -12*q + 3*q. Let v(d) = -d**2 + 9*d + 11. What is the remainder when v(q) is divided by 10?
9
Let f(k) = 112*k - 6247. What is the remainder when 672 is divided by f(57)?
124
Let a = -12049 - -12832. Calculate the remainder when a is divided by 91.
55
Let x = 0 + 5. Suppose -3*k - 3 - 3 = -x*c, -4*k = -c - 9. Suppose c*m = -2*m + 25. What is the remainder when m is divided by 4?
1
Suppose 2*p = 15 + 17. Let b = -12 - -16. Suppose 0*q - 139 = -b*n - 5*q, -q = 5*n - 158. Calculate the remainder when n is divided by p.
15
Let a(k) = k**3 - 16*k**2 - 7*k - 149. What is the remainder when 393 is divided by a(17)?
15
Suppose 80 = 2*t + 3*t. Let f = -52 + 241. Let s = 198 - f. What is the remainder when t is divided by s?
7
Suppose -112 = -5*p - 797. Let b = 144 + p. Calculate the remainder when 14 is divided by b.
0
Suppose 67*k - v + 4916 = 71*k, 3*k = -5*v + 3721. What is the remainder when k is divided by 11?
6
Let o(s) = s + 19. Let q be o(-20). Let m(v) = 14*v**3 - 5*v - 5. Let n be m(q). Let g(i) = i**2 + 14*i + 28. What is the remainder when g(n) is divided by 15?
13
Let l = 5451 + -5312. What is the remainder when 374 is divided by l?
96
Suppose 2*c = 3*c - 29. Let z(x) = x**2 - 22*x - 40. Let s be z(-18). Calculate the remainder when c is divided by (((-8)/(-5))/2)/(34/s).
13
Let a = -149 - -153. Suppose 3*m + 224 = 5*o, 4*o + 2*m - a*m = 180. What is the remainder when 321 is divided by o?
45
Let h be (-5)/(3/18*-1). Calculate the remainder when h + -6 + -1*(0 - 1) is divided by 38/8 - (-2)/8.
0
Let a(g) be the second derivative of -22*g**3/3 + 10*g**2 - 139*g. What is the remainder when a(-12) is divided by 50?
48
Let w = 184 + 59. Let n = w + -201. Calculate the remainder when n is divided by 33.
9
Suppose 360*t = 358*t + a + 4330, -2*t - 4*a = -4370. What is the remainder when t is divided by 64?
57
Let i = -6769 + 6872. What is the remainder when 925 is divided by i?
101
Let x = 113 + -71. Suppose 0 = 24*r - 17*r - x. Calculate the remainder when 9 is divided by r.
3
Let i = -10 + 3. Let n(f) = f**2 + 8*f + 11. Calculate the remainder when -5 + ((21/(-1))/(-3) - -5) is divided by n(i).
3
Let r(y) = 4*y**2 - 10*y - 27. Suppose 37*l = 7*l + 150. What is the remainder when 227 is divided by r(l)?
20
Suppose -2*g - 5*r = -150, -7*r + 11*r = 16. Calculate the remainder when 1818 is divided by g.
63
Suppose 2*g - 2*q - 63 = -g, -101 = -4*g - 3*q. Suppose -2 = 4*k + 22. What is the remainder when g is divided by -2*(k/(-16)*-4 - 1)?
3
Let w(s) = -9*s + 160. Suppose -2*b + 28*b = 364. What is the remainder when 56 is divided by w(b)?
22
Suppose 0 = 2*v + v - 225. Suppose 27 - v = -4*u. Suppose -245 = -5*s + 2*f + 3*f, -f = -3*s + 141. Calculate the remainder when s is divided by u.
10
What is the remainder when 5013 is divided by (2 - 1116)*(4 + 110/(-20))?
0
Let n(h) = 98*h - 1831. Calculate the remainder when n(22) is divided by 52.
13
Suppose 416 = 2*f + y - 470, -3*f = 3*y - 1335. Let n = -279 + f. What is the remai