 0 = 43*g - 807 - 1386. Calculate the remainder when 6/4 - 7700/(-40) is divided by g.
41
Suppose 5*u + 4415 = 15*k, k - 6 = -u + 299. Calculate the remainder when 3264 is divided by k.
294
Let k = -15 + 19. Suppose 0 = -k*h + 17 + 3. Suppose 4*p = 3*y - 77, -101 = -0*y - 4*y + 5*p. Calculate the remainder when y is divided by h.
4
Suppose 9170 = -6*i + 76*i. Calculate the remainder when i is divided by (1 + 0 - 2) + 23.
21
Let l(q) = -96*q - 83. Let m(b) = -286*b - 252. Let i(p) = -7*l(p) + 2*m(p). What is the remainder when i(4) is divided by 15?
12
Suppose -6*d - 20 = -3*q - 74, -3*d + 6 = -5*q. What is the remainder when 272 is divided by d?
8
Suppose a = -1, 7997 = 5*j + a - 2447. What is the remainder when j is divided by 521?
5
Let s = -34 + 70. Let p = -30 + s. Suppose -6*u + 72 = -18. What is the remainder when u is divided by p?
3
Let p = -1491 + 2015. What is the remainder when p is divided by 15?
14
Let j = -27995 - -28023. What is the remainder when 1308 is divided by j?
20
Suppose 2*s = 242 + 854. Let n = s - 520. What is the remainder when 419 is divided by n?
27
Suppose -332 - 6 = -81*y + 1039. What is the remainder when 291 is divided by y?
2
Let d be 34 + 0 + 1 + -4. Let g = d - 16. Let x(k) = -27*k - 106. What is the remainder when x(-5) is divided by g?
14
Let v(l) = -l**3 + 22*l**2 + 45*l + 72. Let b be v(24). Calculate the remainder when (-21 - b)*(21 + -24) is divided by 19.
6
Let i be (1*3/(-12))/(8/(-128)). Let k be (-20 + 18)*(-18)/i. Suppose -4*q - 5*b + 20 = q, -q + 4*b = -k. What is the remainder when 29 is divided by q?
4
Let r = 463 - 469. Let l(i) = -11*i + 70. Calculate the remainder when l(r) is divided by 24.
16
Suppose 7 = 3*v + 5*k - 3, -10 = -5*k. Suppose 6*i - 143 - 127 = v. What is the remainder when 129 is divided by i?
39
Let x(k) = k**3 - k**2 - k + 3. Let u be x(0). Suppose u*d - 25 = -2*d. Suppose -4*v - d + 129 = 0. What is the remainder when 152 is divided by v?
28
Suppose -5*g + 152 = -2*h - 2, h + 62 = 2*g. What is the remainder when g is divided by 14?
2
Let w(q) = -767*q + 6185. Calculate the remainder when 797 is divided by w(8).
13
Let c be ((-96)/(-15))/((-8)/(-20)). Suppose 0 = 5*b - 71 + c. What is the remainder when 42 is divided by b?
9
Suppose -q - 3*y + 8*y + 34 = 0, -q + 2*y = -28. Calculate the remainder when 4730/20 + 1/(-2) is divided by q.
20
Suppose -101472 = 679*o - 739*o - 22872. What is the remainder when o is divided by 73?
69
Let b(d) = -d**2 - 18*d + 10. Calculate the remainder when 164 is divided by b(-15).
54
Let o = 3 - -40. Let z = -67 + o. Let a = z - -41. What is the remainder when a is divided by 6?
5
Suppose -2*f + 3*w = -f - 1677, -4*w = 5*f - 8347. Suppose -17*x = -f + 260. What is the remainder when x is divided by 22?
17
Suppose -2*s = 3*p - 10233, 39*s - 36*s = 2*p + 15317. What is the remainder when s is divided by 24?
21
Suppose 0 = 107*c + 9*c - 15660. Calculate the remainder when c is divided by (5/4)/((-2)/(-32)).
15
Let t(j) = 25*j**2 + 74*j + 61. Calculate the remainder when 39 is divided by t(-1).
3
Let x(y) = 48*y - 27. Let g be x(3). Suppose -24*k + 21*k + g = 0. What is the remainder when 112 is divided by k?
34
Let l = -6721 + 7319. Calculate the remainder when l is divided by 8.
6
Let p be 0/17 + -164*(2 - 3). Suppose -40*v + 41*v - 260 = -3*c, -2*c + 4*v + p = 0. Calculate the remainder when c is divided by 10.
6
Suppose 46*a - 1290 = 41*a - 5*n, 2*a - 525 = -3*n. Suppose 3*j - 2*m - 63 = 20, -3*j = 2*m - 67. What is the remainder when a is divided by j?
24
Let j(k) = k + 8. Let w be j(-6). Let d be 4 + (1 - w)*2. What is the remainder when (-1)/(d/129)*(-16)/24 is divided by 11?
10
Suppose -6*a = -142*a + 14824. Calculate the remainder when 242 is divided by a.
24
Suppose 4 = -9*f + 13. Let w = 45 + -21. What is the remainder when w is divided by f*(-15)/2*(-20 + 18)?
9
Let s be (-15)/((-90)/48) - 3. Suppose s*d + 25*d = 60. What is the remainder when 97 is divided by d?
1
Let s = -7634 - -7645. What is the remainder when 4749 is divided by s?
8
Let q = 9848 - 9828. Calculate the remainder when 1239 is divided by q.
19
Let i(o) = 4*o + 2. Let u be i(-4). Let v = u + 35. Calculate the remainder when ((64/(-12) - -3) + 2)/(193/(-21423)) is divided by v.
16
Calculate the remainder when 200/56 + -4 - 29682/(-119) is divided by 138.
111
Suppose -119*f = -150*f + 1421 + 3632. Calculate the remainder when f is divided by 28.
23
Suppose -3*j + 1782 = 2*b - 697, -1241 = -b - 2*j. Calculate the remainder when b is divided by 31.
26
Suppose 31 = 5*f - 14. Calculate the remainder when -5*3*133/(-105) - -4 is divided by f.
5
Let m = -1312 - -1672. What is the remainder when m is divided by 61?
55
Let k(p) = 34*p + 4212. What is the remainder when k(-69) is divided by 208?
202
Suppose 3*v - 2*v = 6. Calculate the remainder when (-56)/(-1 - 3) + v is divided by 27/2 + (-1)/2.
7
Suppose 90*m + 421 - 2148 = 523. What is the remainder when 106 is divided by m?
6
Let s = 28227 - 28135. What is the remainder when 502 is divided by s?
42
Suppose 0 = 5*p + 2*o - 168, 2*p - 4*p + 3*o = -71. Let h = -32 + p. Suppose 27 = h*w + 5. What is the remainder when 85 is divided by w?
8
Let p(g) = -g**2 - 52*g - 150. What is the remainder when p(-48) is divided by 9?
6
What is the remainder when ((-64)/24 - -3) + (4 - 15216/(-9)) is divided by 55?
45
Suppose 25 + 7 = 2*a. What is the remainder when 21*((-351)/99 - -3)*176/(-24) is divided by a?
4
Let u(c) = 13*c**2. What is the remainder when (11/264*6)/(4/336) is divided by u(-1)?
8
Let z(l) = 14*l**2 - 2*l + 1. Let o be 8/12*((-15)/(-6) - 1). Suppose 0 = r - 52 + 3. What is the remainder when r is divided by z(o)?
10
Let j = 7673 - 7651. Calculate the remainder when 701 is divided by j.
19
Suppose 0 = -78*d - 81*d + 4077 + 1329. Calculate the remainder when 406 is divided by d.
32
Suppose x + 5*x - 1260 = 0. Suppose 0 = -o + 4*r + 50, -4*o + 8 = 2*r - x. Calculate the remainder when o is divided by 37.
17
Let i(a) = -a**2 + 12*a - 28. Let l(o) = -4*o + 13. Suppose -2*m + 7 = 23. What is the remainder when l(m) is divided by i(6)?
5
Let j(v) = 24*v - 39*v + 44 + 110 + 12*v. Calculate the remainder when 441 is divided by j(39).
34
Let x(m) = -2*m**2 - m + 27. Let n be x(-5). Suppose 0 = -h + 4*c + 34, h + 2*c - 16 = -6. What is the remainder when 435/9 + (-12)/n is divided by h?
13
Let n = 363 + 117. Suppose -y = -9*y + n. Calculate the remainder when 236 is divided by y.
56
Let r(g) = -g**2 - 64*g - 263. What is the remainder when 190 is divided by r(-59)?
30
Suppose 5*c = 3*u + 1247 + 459, 0 = 4*u - 12. What is the remainder when c is divided by 79?
27
Suppose -3*s = s - 8. What is the remainder when 318 is divided by ((-1)/(-6)*s)/(19/1653)?
28
Calculate the remainder when 1*16*(-1643)/(-124) is divided by 71.
70
Let p(i) = -6*i**3 - 2*i**2 - i. Let g be p(-1). Let x = 1 + g. Suppose -6*r + x + 60 = 0. Calculate the remainder when 32 is divided by r.
10
Let y(v) = v**2 + 3*v + 5. Suppose -5*k - 9 - 16 = 0. Calculate the remainder when 41 is divided by y(k).
11
Let h(q) = -31 + 9*q + 0*q + 3 - 7*q. Let d be h(13). Let f = 11 - d. What is the remainder when 49 is divided by f?
10
Let y be (-7)/(-14)*0 - -8. Let o(w) = -w**3 + 10*w**2 - 6*w - 9. Calculate the remainder when o(y) is divided by 37.
34
Suppose 17*u - 15278 - 4796 = 2366. Calculate the remainder when u is divided by 439.
3
Suppose -5*s + 2091 = 3*i, 0 = 3*i - s + 1229 - 3302. What is the remainder when i is divided by 51?
29
Let f = -460 - -787. Calculate the remainder when (88/12 + -7)*f is divided by 28.
25
Suppose 0 = 3*q + 2*z - z - 10, 11 = 2*q + 5*z. Suppose 0*f - 489 = -3*f. Calculate the remainder when f is divided by q.
1
Let j be 130/8 - 1/(-20)*-5. Let q = j - 11. Suppose 50 = -3*c + q*c. Calculate the remainder when 99 is divided by c.
24
Suppose 7*i + 88 = -73. Let b = 25 + i. Suppose -5*s - 85 = -5*m, 0 = -b*m + s + 3*s + 40. Calculate the remainder when 24 is divided by m.
10
Suppose -3*d + 2*g - 1 = -29, -3*d = 4*g - 52. Calculate the remainder when 8878 is divided by d.
10
Let t(f) = -63*f - 1629. What is the remainder when 1419 is divided by t(-26)?
6
Let i(m) be the first derivative of m**4/4 + 10*m**3/3 - 27*m**2/2 - 13*m - 110. Calculate t