)/(-34)) + (-1)/(1/(-31)) is divided by s(m).
4
Let j(l) = -63*l + 382. Let z be j(6). Suppose 2*k + 36*o = 38*o + 34, 5*o = z*k - 70. What is the remainder when 51 is divided by k?
6
Let d(u) = -2*u - 5 - 11 - 6. Let n be d(12). Let i = n - -54. What is the remainder when 78 is divided by i?
6
Let w = -286 + 289. Let c(d) = -3*d**2 - d. Let h be c(-4). Let g = -37 - h. What is the remainder when g is divided by w?
1
Let x = 11453 - -8019. What is the remainder when x is divided by 18?
14
Let f(l) = -301*l + 42754. Let a be (-32)/(-6) + 1/(-3). Suppose 4*s + 118 = 2*u, 3*u - a*u - 2*s + 112 = 0. What is the remainder when u is divided by f(142)?
9
Let x = 8479 - 8283. What is the remainder when 725 is divided by x?
137
Suppose 2*f + 2948 = -230. Let t = f - -2351. Calculate the remainder when t is divided by 85.
82
Suppose i + l - 43 = 0, -3*i = 70*l - 74*l - 143. Let h be (-6)/27 - 218/(-9). Suppose -h = -k - k. What is the remainder when i is divided by k?
9
Let l be (-6 - 1) + (2 - -2). Let g be (-144)/(-27)*l/(-4). Suppose -o + 24 + 15 = 2*t, -4*t - 132 = -g*o. Calculate the remainder when o is divided by 18.
17
Suppose -13 = c + 5*k - 101, 0 = 5*c + k - 320. Let p(y) = 2*y**2 + 11*y + 18. Let i be p(-12). Let h = i - 161. Calculate the remainder when c is divided by h.
11
Let k(v) = -v**2 - 56*v + 26. What is the remainder when 2811 is divided by k(-54)?
131
Suppose -f + 2*c = -50, f = -6*c + 2*c + 32. Suppose 4*t - 1610 = -3*o - 2*o, -2*o + 644 = -t. Let j = o - 147. Calculate the remainder when j is divided by f.
43
Let f(u) be the second derivative of -u**5/20 + 8*u**4/3 + 12*u**3 + 23*u**2/2 + 25*u - 2. What is the remainder when f(34) is divided by 41?
36
Let f = -7879 + 7898. What is the remainder when 183 is divided by f?
12
Let d be 1/(-4) - 27/(-12). Suppose -d*v + 45 = -35. Suppose s - 62 = -4*l, 3*s - 16 - 202 = -4*l. Calculate the remainder when s is divided by v.
38
Suppose 0 = 4*n + y - 4473, 0 = -n - 3*y + 1535 - 414. What is the remainder when n is divided by 7?
5
Suppose -20*o - 31819 = 9*o - 117804. Calculate the remainder when o is divided by 7.
4
Let q = 8274 + -8223. Calculate the remainder when q is divided by 30.
21
Suppose 3*r = 5*r + 2, -5*p = 3*r + 613. Let l = p - -157. Suppose 52 = 3*s - 8. Calculate the remainder when l is divided by s.
15
Let k(w) = 2*w**2 + 6*w - 14. Suppose -10*m = 22 + 38. Let s(o) = o + 1. Let c(z) = m*s(z) - k(z). Calculate the remainder when c(-6) is divided by 2.
0
Suppose -5*m + i - 144 = -i, -5*m - 2*i - 156 = 0. Let a = -52 - m. Calculate the remainder when 59 is divided by -2 + 1 + (1 - a).
15
Let f = -1 + 6. Suppose -f*j + 120 = 5*c, 2*c - 42 = 7*j - 11*j. What is the remainder when c is divided by 12?
3
Let o(t) = t**2 + t + 16. Let a be o(-6). Suppose -3*r - 269 = -5*g - 43, -g + r = -a. Calculate the remainder when (2/(0 + 2))/((-2)/(-346)) is divided by g.
41
Let r = -15842 - -15896. What is the remainder when 902 is divided by r?
38
Let t(m) = -m**3 - 11*m**2 - 36*m - 4. Let z be t(-6). Suppose 174 = -z*f + 33*f. Calculate the remainder when f is divided by 11.
9
Suppose 364 = 4*n - 5*d + d, 4*n + 5*d = 346. Suppose 48 = r + 5*q, -416*r + 413*r = -q - 96. Calculate the remainder when n is divided by r.
23
Let c = 56 + 41. Suppose c + 263 = -3*i. Let d = -110 - i. Calculate the remainder when d is divided by 2.
0
Let m(h) = 22*h + 1. Let d be m(2). Let j = d + 3. Let n = j + 14. What is the remainder when n is divided by 33?
29
Suppose 19*w - 3727 = -12524. Let f = -245 - w. Calculate the remainder when f is divided by 116.
102
Let p = 2602 - 2509. What is the remainder when p is divided by 45?
3
Suppose -4*s + 5*y + 10 = 23, -3*s = y - 14. Suppose -s*c + 5*r = 17, -3*c - 30 - 5 = 4*r. What is the remainder when 59 is divided by c/((-90)/4)*40?
11
Let o(i) = -5*i**2 - 3*i - 9. Let s(c) = 2*c**2 - c - 1. Let r(l) = -o(l) + 6*s(l). Calculate the remainder when 451 is divided by r(2).
61
What is the remainder when 5150 is divided by (5 - -16)/(-73 - -76)?
5
Let i = -132 - -207. Let m(o) = -o**3 + 12*o**2 + 190*o + 41. What is the remainder when m(19) is divided by i?
74
Let w(n) = -n**3 + 29*n**2 - 51*n + 24. Let f be w(27). Let l = 107 - f. Calculate the remainder when l is divided by 2.
0
Suppose 4*m = -0*m - 12, -30 = -5*h + 5*m. Let x be -1*(-3 - (-12 + h) - 3). What is the remainder when 50*(4 + x) - -4 is divided by 14?
12
Suppose 20*v = 21*v + 1, -v - 35 = -m. Calculate the remainder when m is divided by 12.
10
Suppose -h = -18 + 16. Suppose -8*l + c = -3*l - 185, 118 = 3*l - h*c. What is the remainder when 115 is divided by l?
7
Suppose -c = 4*a - 1714, -122 = 5*a - c - 2251. What is the remainder when a is divided by 132?
31
Let t(p) = -p**3 + 20*p**2 + 30*p + 83. Calculate the remainder when t(-26) is divided by 95.
94
Let w = 21852 + -21767. Calculate the remainder when 5608 is divided by w.
83
Let o be (-2)/7 - 0 - 195/(-21). Suppose -5*a = -o*a + 4*n + 188, n = -4*a + 203. Suppose -7*m + 17*m - a = 0. What is the remainder when 24 is divided by m?
4
Let g = -14 - -34. Let r(i) = 6*i - 25. What is the remainder when r(14) is divided by g?
19
Suppose -o = -9*s + 371, 4*s + 2*o = -0*o + 160. Calculate the remainder when s is divided by 23.
18
Suppose -3*t = y - 0*y - 34, -4*y + 192 = -2*t. What is the remainder when 450 is divided by y?
36
Let u be (-1701)/70 + (-18)/(-60). Let l(c) = 2*c + 53. Calculate the remainder when l(u) is divided by 2.
1
Let d = 723 - 301. Let r = d - 385. What is the remainder when 73 is divided by r?
36
Suppose 4*g + 5*i - 148 = 0, 37 = g + 3*i + i. What is the remainder when 449 is divided by g?
5
Let q be (-5)/25 + (-10490)/50. Let d = -202 - q. What is the remainder when 28 is divided by d?
4
Calculate the remainder when (4*(-13)/52)/(2/(-292)) is divided by 4.
2
Let y(r) = r**3 + 24*r**2 + 92*r - 37. What is the remainder when 1228 is divided by y(-6)?
48
What is the remainder when ((4 + -5)*-1)/(15/10275) is divided by 106?
49
Suppose -165*r = 55*r - 1635904 + 193364. What is the remainder when r is divided by 82?
79
Let y(w) = 2*w**3 + 80*w**2 - 10*w - 221. What is the remainder when y(-40) is divided by 66?
47
Suppose 0 = -3*h - 283 + 733. Suppose 22*u - 17*u - h = 0. Let d = u - 14. What is the remainder when 92 is divided by d?
12
Let d be -1 + -3 + 6 + (0 - -3). Suppose -4*u = -c + 63, -105 = 5*u - c + d*c. Calculate the remainder when 136 is divided by (-104)/17 + 6 - 342/u.
16
Let y = 19791 + -19598. Calculate the remainder when 683 is divided by y.
104
Suppose 32*k = 30*k - 12, 0 = 3*l - 2*k - 78. What is the remainder when 216 is divided by l?
18
Suppose 2*k - 2*w - 102 = 0, 5*k - 18*w = -14*w + 248. What is the remainder when 304 is divided by k?
40
Let f(l) = 12*l + 179. Let p(j) = 11*j + 184. Let d(h) = 3*f(h) - 2*p(h). Calculate the remainder when d(-8) is divided by 20.
17
Suppose 460 = d - 1278*p + 1277*p, -p = -5. What is the remainder when 940 is divided by d?
10
Let g be (688/(-32))/43 - 10/(-4). Let v(r) = 5*r**2 - 5*r - 2. Let b(y) = y + 1. Let d(h) = 2*b(h) + v(h). Calculate the remainder when 23 is divided by d(g).
9
Let n(w) = w**3 - 3*w**2 - 5*w + 4. Let a be n(3). Let p = a + 8. Calculate the remainder when 54 is divided by (0 - 1/p)*57.
16
Let k = 16 + -13. Suppose -6*m + k*m = -213. Suppose 0 = 35*p + p - 540. What is the remainder when m is divided by p?
11
Let c = 378 - 252. Calculate the remainder when c is divided by (-6)/((240/(-86))/20).
40
Suppose 0 = 3*d - 3*v - 885, -v = 40*d - 42*d + 595. What is the remainder when d is divided by 269?
31
Suppose 4*g - 5*f + 35 = 3*g, -8 = 4*f. Let s be (-10)/g + 428/18. Suppose a - s = -3*a. What is the remainder when a is divided by 2?
0
Suppose -3*j = -9, -19*j = -5*x - 23*j + 3012. Calculate the remainder when x is divided by 176.
72
Let k = 8918 + -8916. What is the remainder when 72 is divided by k?
0
Suppose -136*y + 2*w + 115 = -135*y, -y + w + 116 = 0. What is the remainder when 2456 is divided by y?
116
Calculate the remainder when (1008/45 - 26)/(-3*(-2)/(-3280)) is divided by 32.
16
What is the remainder when (-6 - 7)*(-165 + 10) is divided by 112?
111
Let f = -4 + -36. Let m = -40 - f. Suppose m = -14*t + 20*t - 30. Calculate the remainder when 21 is