Let k = -577 - -719. Suppose -4*p - 4*m = -3*p - k, 5*p + 5*m - 680 = 0. Let r = 86 + -41. What is the remainder when p is divided by r?
44
Let f(y) = y**3 - 8*y**2 + 6*y. Let u be (-2)/(-12) + (-843)/(-18). Let v = u - 1. What is the remainder when f(9) is divided by v?
43
Suppose -4*f + 800 - 626 = -p, -2*p = 2*f - 82. What is the remainder when f is divided by 8?
3
Suppose -13*s + 80 - 28 = 0. Let w be s + (1 + -2)/(-1). Suppose -5*o + 25 = 5*a, -21 = -3*a - a - w*o. Calculate the remainder when a is divided by 2.
0
Let d = -7066 + 7211. What is the remainder when 4348 is divided by d?
143
Suppose 0 = 3*m + 5*h - 247, m = -81*h + 78*h + 77. Let j(z) = z**3 - z + 56. Let y be j(0). Let t = y - 33. Calculate the remainder when m is divided by t.
20
Suppose 7763*r - 7726*r = 31598. What is the remainder when r is divided by 105?
14
Suppose -454 + 2776 = 6*o. Let s = o + -364. What is the remainder when 135 is divided by s?
20
Let h(o) = -o**3 - 2*o**2 + 64*o - 35. What is the remainder when h(-10) is divided by 41?
2
Let i = 93 - 32. Suppose 5*p + 147 = 3*y - 32, y = 3*p + i. Suppose -y = -4*q + 114. Calculate the remainder when q is divided by 22.
21
What is the remainder when 1639 is divided by (-2 - -26) + 3 + -1 + 0?
1
Let m = 21395 + -21243. Calculate the remainder when m is divided by 1 - 11/(-2)*6.
16
Let b(i) = 80*i + 4002. What is the remainder when b(26) is divided by 117?
115
Suppose 2*u + 4*m - 19 - 7 = 0, 3*m = -2*u + 22. Suppose 4*t + 447 = w, 3*t + 2218 = -0*w + u*w. What is the remainder when w is divided by 12?
11
Let o = -453 - -482. Calculate the remainder when 510 is divided by o.
17
Let z(w) = -102*w - 598. What is the remainder when 325 is divided by z(-6)?
3
Suppose 7*f - 4*f - 7 = -2*c, 5*f + 1 = 3*c. Suppose -16 = -g - 3*m, -25 = -2*g - c*m + 11. What is the remainder when 74 is divided by g?
17
Let u = 2053 - 1183. Let m = 886 - u. What is the remainder when 53 is divided by m?
5
Suppose 0 = 4*n - 29 - 119. Suppose 0 = -108*m + 98*m + 1470. Calculate the remainder when m is divided by n.
36
Let f = 36 + -35. Suppose v - 3*i + f = -v, 3*v - 3*i + 3 = 0. Calculate the remainder when (v - -3) + (4 + 12)/4 is divided by 3.
2
Suppose 0 = -8*r - 89 + 241. Suppose -r*y = 289 - 2987. Calculate the remainder when y is divided by 24.
22
Suppose -1835*k + 1834*k + 63 = 0. What is the remainder when 3904 is divided by k?
61
Let c = -61 - -58. Let l(u) = -13*u - 8. Let v be l(c). Let t = -13 + v. Calculate the remainder when 106 is divided by t.
16
Let v = 260 - 33. Let i = 121 - 64. Calculate the remainder when v is divided by i.
56
Let u = -32 - -52. Suppose -4*k + 4 = 0, 4*d + 5*k = u + 13. Suppose 94*s + 5*p = 95*s, -2*s + 40 = -2*p. What is the remainder when s is divided by d?
4
Let c = -148 - -151. Suppose 5*r - 51 = 2*z, -c*r - 4 = -3*z - 40. What is the remainder when 17 is divided by r?
8
Let g = 23817 - 23748. Calculate the remainder when 3241 is divided by g.
67
Suppose -22*l - 16*l + 6*l = -28512. Calculate the remainder when 903 is divided by l.
12
Let q(p) = 4*p**2 + 188*p + 1556. Calculate the remainder when 1062 is divided by q(-10).
74
Let y(t) = 153*t**2 + 99*t + 100. What is the remainder when 421 is divided by y(-1)?
113
Let m(s) = -64 - 116*s + 41*s + 3 + 10. What is the remainder when m(-3) is divided by 11?
9
Let b(t) = -t**3 + 16*t**2 + 29*t + 41. Calculate the remainder when b(17) is divided by 225.
20
Let y(q) = -q + 1. Let t be y(1). Suppose 151*v = 157*v + 120. Let g = t - v. Calculate the remainder when 52 is divided by g.
12
Suppose -o - 238 = -5*i + 2*i, 0 = 3*o - 15. Let j(u) = -2*u + 18. Let k be j(8). What is the remainder when i is divided by -56*3/(-4 - k)?
25
Let c(z) = 16*z - 83. Let s be c(17). Suppose -3*p = -6*p + s. Calculate the remainder when p is divided by 13.
11
Let z(g) = g**2 - 87*g + 299. Calculate the remainder when z(89) is divided by 41.
26
Let q(j) = 403*j**2 + 176*j - 541. Calculate the remainder when q(3) is divided by 9.
5
Suppose 5*m + o = 3715, 0 = 529*m - 532*m - 2*o + 2222. Calculate the remainder when m is divided by 12.
0
Let g = -116 + 116. Suppose 7*f = n + 2*f - 10, g = -f. What is the remainder when n is divided by 1?
0
Suppose 15 = 8*x - 89. Calculate the remainder when 866 is divided by x.
8
Suppose 38*u + 8242 = 51*u. Let l = 668 - u. What is the remainder when l is divided by 26?
8
Let m = -226 - -225. Let h(p) = -p**2 + p - 1. Let w(b) = 12*b**2 + 4*b + 12. Let f(d) = 4*h(d) + w(d). What is the remainder when f(m) is divided by 6?
2
Let j(x) = 800*x**2 + 4 + 3 - 8*x - 798*x**2. Let s = -32 - -38. What is the remainder when 58 is divided by j(s)?
27
Let z = -739 + 776. Let k = -108 + 217. Calculate the remainder when k is divided by z.
35
Suppose 205 - 754 - 879 = -102*q. What is the remainder when 443 is divided by q?
9
Suppose -3*s = -2*o + 4*o - 984, 0 = 3*s + 5*o - 975. Let q = -298 + s. What is the remainder when q is divided by 23?
9
Let s(h) be the second derivative of 3*h**2 + 1/6*h**3 + 0 + 20*h - 5/12*h**4 - 1/20*h**5. Calculate the remainder when 3 is divided by s(-5).
0
Let a(w) = -13*w + 23. Let g be a(-2). Suppose 4*n + 3*f - 44 = -f, -g = -4*n - 5*f. Calculate the remainder when 21 is divided by n.
3
Let n(a) = -478*a + 12660. Calculate the remainder when 2144 is divided by n(25).
14
Let b(h) = 47*h - 1764. Calculate the remainder when 336 is divided by b(40).
104
Suppose -9*k = -3*k - 3270. Suppose -b = 4*b - 5*n - k, 0 = 4*b - n - 448. What is the remainder when b is divided by 29?
26
Let k = 4251 + -4159. Calculate the remainder when 205 is divided by k.
21
Suppose 0 = 42*t - 6950 - 2752. What is the remainder when t is divided by 78?
75
Let b be 6*2/(-10)*-5*1. Suppose a + b*l - l + 12 = 0, 0 = -5*a + l + 18. Calculate the remainder when 17 is divided by a.
2
Let o(r) = 634*r - 3335. Calculate the remainder when o(18) is divided by 80.
77
Let z = 1080 + -1065. Suppose -4*b - b = -5*t - 25, 5*t + 23 = 4*b. Calculate the remainder when z/(-6)*(2 + b + -8) is divided by 7.
3
Suppose -48 = -3*j + 2*m + m, 5*j = -3*m + 48. Let i = -100 - -104. Suppose 0 = z + 2*v - 26, -i = -v - 2. What is the remainder when z is divided by j?
10
Let f = -5688 + 5700. Calculate the remainder when 4138 is divided by f.
10
Let c(n) = 2*n**2 - 127*n - 594. What is the remainder when 1470 is divided by c(68)?
12
Suppose 26 = 4*s - 2*w, -10 = 5*s + 2*w - 11. What is the remainder when 1915 is divided by s?
1
Let z(a) = a**2 + 4*a - 31. Let d be z(-13). Let o = d + -80. What is the remainder when (-461)/o*-1 - 2/(-12) is divided by 20?
17
Suppose c - 4*c + 180 = 0. What is the remainder when c is divided by (-5)/((-455)/962) - 12/(-28)?
5
What is the remainder when 2082 is divided by 6/((-36)/15) + (-540)/(-72)?
2
Suppose -15*n + 260 + 355 = 0. Calculate the remainder when 2367 is divided by n.
30
Let p(y) = y**3 + 9*y**2 - 26*y - 19. Let i(l) = -l**2 + l + 19. Let z be i(-5). Calculate the remainder when p(z) is divided by 19.
6
Let p(y) = 12*y**2 - 24*y - 8. Let n = -23 + 41. Let d be p(n). Suppose 10*j + 1058 = d. What is the remainder when j is divided by 30?
29
Suppose -4*h + 2717 = 3*y, 4*y + 483 = 4*h - 2269. What is the remainder when h is divided by 115?
108
What is the remainder when -1 + 4 - 3/(370/372 - 1) is divided by 267?
27
Suppose -4*g - 2*w = -262, -g + 47 = 3*w - 26. What is the remainder when 877/7 - 4/14 is divided by g?
61
Suppose 5*w + 4*f = 142, -7*w - 17*f = -2*w - 181. Calculate the remainder when 507 is divided by w.
13
Suppose 12*l - 3946 = -4*l + 838. What is the remainder when l is divided by 71?
15
Let n = -39 - -53. Let f(k) = -k + 4. Let v be f(5). Calculate the remainder when (5 - 4) + (-26)/v is divided by n.
13
Suppose -46*q - 5025 = -37501. Calculate the remainder when q is divided by 140.
6
Let l = -1471 + 1823. Calculate the remainder when l is divided by 118.
116
Let g(w) = 4*w - 81. Let k(a) = -21*a + 402. Let n(z) = 24*g(z) + 5*k(z). What is the remainder when 82 is divided by n(5)?
19
Let u(o) = -o**2 + 5*o + 1. Let j be u(5). Let c(h) = 4*h**2 - 258*h - 2911. What is the remainder when c(-10) is divided by ((-2)/j)/(3/(-18))?
9
Let d be (-70)/(-56)*(6 + -2). Suppose o + 273 = k, 5*o = d*k - k - 1088. Calculate the remain