 = 4*l - 107. Let r be (l/12)/((-7)/252). Let d = -89 - r. Calculate the remainder when 11 is divided by d.
4
Let v be (-1 + (-2)/(-10))*(-20)/8. Let n be (-1)/v - (-77)/22. Suppose 69 = -n*q + 204. Calculate the remainder when 132 is divided by q.
42
Let t = -31445 - -31518. Let w = 135 - -9. Calculate the remainder when w is divided by t.
71
Let f = -29 - -228. Suppose 41*a - 94*a + 570 = -43*a. Calculate the remainder when f is divided by a.
28
Suppose 8 = -4*n + p, n = -0*n + p - 5. Let u be (-51)/34*84/n. Suppose 14*j - u = 11*j. Calculate the remainder when j is divided by 11.
9
What is the remainder when 2005 is divided by ((-299)/161 - -1)*(-112)/12?
5
Let k = -5060 - -5104. Let c(r) = -r - 2. What is the remainder when k is divided by c(-11)?
8
Let c(h) = 100*h**3 - h**2 - 3*h + 6. Let f(d) = 4*d + 7. Calculate the remainder when c(1) is divided by f(5).
21
Suppose -7*y + 62 - 20 = 0. Let d be 8/(-12) + 52/y. Suppose -33 = 5*k - d*k. What is the remainder when 16 is divided by k?
5
Suppose 5*f = -5*g + 2590, f - 526 = -2*g + 3*g. Suppose 0 = -4*p + f - 102. Calculate the remainder when p is divided by 36.
33
Let y(d) = -3*d - 52. Suppose 0 = -0*a - 3*a + 9, c - 2*a + 2 = 0. What is the remainder when (64/(-9)*-3)/(c/6) is divided by y(-19)?
2
Suppose -2*f + 1681 = 5*c, 50*f - 49*f + 3*c = 842. Calculate the remainder when f is divided by 415.
3
Let j = 395 - 228. Let l be j + (-9 - -6 - (1 + -2)). Let o = -92 + l. What is the remainder when o is divided by 15?
13
Suppose p - 4*a = 62, 9*p + 2*a - 200 = 4*p. Suppose -4*u - 2 = -38. What is the remainder when p is divided by u?
6
Let l = 3146 + -3119. Calculate the remainder when 773 is divided by l.
17
Suppose 4*u + 3*n - 41 = -u, -2*n - 16 = -u. Suppose 0*b + 22 = -4*q + 5*b, -q - b - u = 0. Calculate the remainder when ((-2)/(q/(-12)))/(-3) is divided by 1.
0
Calculate the remainder when 1885 is divided by (1/((-44)/56))/((-23)/253).
9
Let z(t) = -29*t + 429. Let i be (-1 + -6)/((4 + -8)/8). What is the remainder when 50 is divided by z(i)?
4
Let n(c) = 12*c**2 + 88*c - 114. What is the remainder when n(-16) is divided by 51?
20
Let s(c) = 32*c**2 - 3*c + 3. Let b(w) = w**3 - 27*w**2 - 89*w + 39. What is the remainder when b(30) is divided by s(1)?
5
Let o(z) = 4*z - 29. Let y(b) = -16*b + 2. Suppose -2*g = -2*v, 3*g - 2*v = 4 - 5. Let h be y(g). Calculate the remainder when 169 is divided by o(h).
40
Calculate the remainder when 1183 is divided by 324*((-47)/(-15) + (-4)/5 + -2).
103
Let n be (-3)/(-6 + 3) + -34. Let b = n - -36. Suppose 3*h = 12, b*c + 3 = 4*c - h. Calculate the remainder when c is divided by 2.
1
What is the remainder when 2027 is divided by 1*(-1)/(-2) + (-29839)/(-1126)?
2
Suppose -5*l = n - 25, -3*n + 4 + 7 = -l. Let t = 84 + -84. Calculate the remainder when 2/(2/9) - t/84 is divided by n.
4
Let k = 223904 - 223621. Let r = 24 + 48. Calculate the remainder when k is divided by r.
67
Suppose 4 = 125*n - 127*n. Let b(d) = -25*d - 33. Calculate the remainder when 112 is divided by b(n).
10
Let j = 219 + -217. Suppose -3*m - 18 = -3*q, 6*m + 5*q = m + 20. Let p(w) = -3*w**3 - w**2 - w. What is the remainder when p(m) is divided by j?
1
Suppose -4*v + 3*v = -h - 78, -3*h = -v + 70. Let k(b) = 7*b**2 + 107*b + 402. Calculate the remainder when v is divided by k(-6).
10
Suppose 5238*s = 5250*s - 1560. Calculate the remainder when s is divided by 69.
61
Suppose 5*m - 12 = 18. Suppose -v + m = -1. What is the remainder when v is divided by (-44 + 39)*(1 + (-18)/10)?
3
Let s(p) = 18836*p - 131789. Suppose 4*w + 20 - 220 = 0. Calculate the remainder when s(7) is divided by w.
13
Let p(o) = -2*o**3 + 12*o**2 + 6. Let f be p(6). Suppose 29*t - 966 = f*t. Calculate the remainder when 156 is divided by t.
30
Calculate the remainder when 1450 is divided by 6*24/32*478/3.
16
Let c be (-40)/(-7) - 2/(-7). Let g(u) be the first derivative of -u**4/4 + 8*u**3/3 - 2*u**2 - 5*u - 238. Calculate the remainder when 83 is divided by g(c).
40
Suppose 16 = -4*d, 0*d = -z + 4*d + 47. Let s = -454897 - -455000. What is the remainder when s is divided by z?
10
Let g(z) = 20*z**3 - 120*z**2 + 3*z - 11. Calculate the remainder when 468 is divided by g(6).
6
Let x = 2 + 18. Suppose 1353 = 3*m + 5*c - 661, 6*m - c = 4072. Calculate the remainder when m is divided by x.
18
Let d = -321 - -1337. What is the remainder when d is divided by 5?
1
Suppose 4*i = d + 520, 2*d + 2*d + 115 = i. Suppose -2*p = -3*p + i. Calculate the remainder when p is divided by 66.
65
Let c = -3073 + 3116. What is the remainder when 1243 is divided by c?
39
What is the remainder when 290 is divided by (-142)/(-7) + (-360)/(-210)?
4
Calculate the remainder when 1637 is divided by 60/(-750) + 4554/50.
90
Let d(x) = 5*x + 39. Let p be d(-7). Suppose -4*m + p*g + 0*g = -16, -m + 24 = -5*g. What is the remainder when 143 is divided by (-98)/(-4) + m/(-2) + -1?
23
Suppose -2*l + 26 = n + l, -2*n - 4*l = -54. Let x(z) = -z - 4*z + 11 - n - 5*z. Calculate the remainder when x(-7) is divided by 27.
25
Let w be (-6)/(-14) - -5*(-247)/(-91). Let p = 2 + w. Calculate the remainder when 447 is divided by p.
15
Let g = -22229 - -22358. Calculate the remainder when 287 is divided by g.
29
Suppose 2*o + 5 = 48*m - 43*m, -m + 28 = 5*o. Suppose 0 = -0*f - 5*f + 60. What is the remainder when f is divided by o?
2
Let l(x) = -4*x**2 + 269*x + 656. What is the remainder when l(68) is divided by 319?
133
Let t(d) = 21*d + 219. Let u be t(-11). What is the remainder when 51 is divided by u + 4 + 15 - -37?
7
Let r(d) = -16*d - 108. Let w be r(-21). Suppose 4*c - 152 = -3*q, w = 4*q - 4*c + 3*c. Calculate the remainder when q is divided by 12.
8
Suppose -4*o - 81 = -4*x + o, -5*o + 52 = 3*x. Let s be x/(-38) - 193/(-2). Suppose 14*n - s = 11*n. What is the remainder when 60 is divided by n?
28
Let u = -6380 - -6727. What is the remainder when u is divided by 48?
11
Suppose -4*x = -20, 119*q - 117*q - 58 = -6*x. Let i(y) = y**3 - 5*y**2 - 5*y + 2. What is the remainder when q is divided by i(6)?
6
Let w(p) = -21*p**3 + 2*p**2 - 38*p - 41. What is the remainder when w(-1) is divided by 12?
8
Let w = -2549 + 2605. Calculate the remainder when 311 is divided by w.
31
Suppose -69*y - 50*y = -1772267. Calculate the remainder when y is divided by 196.
193
Let u be (0 + -2)/(-1*(-14)/(-35)). Suppose 76 = u*z - 69. Calculate the remainder when 113 is divided by z.
26
Calculate the remainder when 1678*((-336)/(-154) + 3 + 105/(-33)) is divided by 46.
44
Suppose -21816 = -38*k - 141*k + 10046. Calculate the remainder when k is divided by 23.
17
Let n(a) = -a**3 - 17*a**2 - 14*a - 137. Calculate the remainder when 498 is divided by n(-17).
94
Suppose 4*f = 102 + 66. Let k = f + -42. Suppose k = -8*p + 22 + 66. Calculate the remainder when 19 is divided by p.
8
Let m(v) = 113*v - 589. What is the remainder when m(31) is divided by 7?
2
Suppose 177*u + 21*u = 91872. Calculate the remainder when u is divided by 163.
138
Let f(g) = -1. Let k(b) = -4*b - 8. Let s(u) = 4*f(u) + 2*k(u). Let z be s(-7). Suppose -44 = -4*j + z. Calculate the remainder when 96 is divided by j.
16
Let j = 252 + -248. Suppose -w = j*t - 101, -t - w - w + 34 = 0. What is the remainder when 141 is divided by t?
21
Let j be 11/(-55) - (-46)/5. Let n = 13 - j. Suppose -2*f - 298 = -n*f. What is the remainder when f is divided by 38?
35
Suppose 0 = 244*r - 249*r + j + 120, -2*r + 5*j + 71 = 0. Calculate the remainder when 718 is divided by r.
5
Suppose 24*a - 27 = 22*a + i, -5*a = -3*i - 66. Let g = -14 + 19. Suppose -g*x + 135 = -135. What is the remainder when x is divided by a?
9
Suppose y = -3*n + 93, 6*y = 7*y + 2*n - 94. Suppose 64*j - 200 = 56*j. Calculate the remainder when y is divided by j.
21
Let z(y) = 708*y + 4283. Calculate the remainder when 367 is divided by z(-6).
17
Let y = -11170 + 11973. Calculate the remainder when y is divided by 166.
139
Let v = 417 - 413. Let y = -71 - -187. Suppose 2*k - 80 = -2*k - v*s, 0 = -5*k + 3*s + y. What is the remainder when 41 is divided by k?
19
Let p(n) = n**2 - 8*n + 24. Let j(l) = 5*l + 20 - 13 + 13*l + l**2. Let w be j(-18). Calculate the remainder when 65 is divided by p(w).
14
Let j(c) = -182. Let q(m) = -m + 272. Let x(p) = 