
78
Suppose 0 = 2*o - 5*q - 37, 15*q = -3*o + 11*q + 136. Calculate the remainder when 1719 is divided by o.
27
Let x = 64 + -57. Suppose -340 = -5*c - 2*y + x*y, 0 = -5*c - 2*y + 368. Let i(m) = m**3 + 7*m**2 + 2*m + 1. What is the remainder when c is divided by i(-6)?
22
Let d be (1 + 6197)*18/36. Let u = 4688 - d. Suppose 29*t - 22*t = u. What is the remainder when t is divided by 38?
37
Calculate the remainder when 267*(19/(456/9) + 215/24) is divided by 53.
1
Let s = 13 - 5. Let i = 362 + -361. What is the remainder when 4/(i + 50/(-55)) is divided by s?
4
Let x = -2431 - -2568. Calculate the remainder when 443 is divided by x.
32
Let n(s) = 4*s**2 - 71*s - 583. What is the remainder when n(27) is divided by 73?
51
Suppose 253*a - 1345 = -2*s + 252*a, -a = 4*s - 2693. Calculate the remainder when s is divided by 136.
130
Suppose -42*r = -25*r - 6171. Let b = r - 231. Calculate the remainder when b is divided by 45.
42
Let j(l) = -43*l - 25. Suppose 18 + 12 = -15*w. Calculate the remainder when 304 is divided by j(w).
60
What is the remainder when (-2136)/1602 + (-6886)/(-3) is divided by 56?
54
Let s(y) = 4*y**3 - 7*y**2 + 10*y + 3. Let p be s(4). Suppose 190*r = p*r + 669. Calculate the remainder when r is divided by 16.
15
Suppose -450 = -5*h - 2*r, h + 31*r - 32*r - 83 = 0. Calculate the remainder when 868 is divided by h.
76
Suppose 0 = 66*u - 251*u + 6008 - 1383. Calculate the remainder when 61 is divided by u.
11
Let g = -2540 + 2868. Calculate the remainder when g is divided by 117.
94
Suppose 4*l + 2*i + 570 = 2*l, -l + 2*i = 300. What is the remainder when 38 is divided by -103*1/(-5) + 174/l?
18
Suppose 0 = 28*s + 4*s - 160. Suppose -14 = -2*t - s*d, d + 8 = -d. Calculate the remainder when 169 is divided by t.
16
Let h = -63 + 170. What is the remainder when h is divided by (-11 - -3)*(-7)/14*3?
11
Suppose -2*n - 1478 = -z, -25*z + n + 36746 + 596 = 0. What is the remainder when z is divided by 65?
64
Let u = 129 + -26. Suppose -17*y + 22*y = 2*a + 55, -4*y + a + 41 = 0. Suppose y*r - 7*r - 50 = n, n - 80 = -3*r. What is the remainder when u is divided by r?
25
Calculate the remainder when 2 + -2 - (105202/69)/((-4)/6) is divided by 143.
142
Let h = 330 - 620. Let f = 336 + h. Calculate the remainder when 317 is divided by f.
41
Let i be 4/(22/(-44)*4/(-19)). Let w be (-18)/15*30/(-9). Suppose -2*d - w*v = -i, 3*d - 7*d + 64 = -4*v. What is the remainder when d is divided by 9?
8
Suppose 0*s - 84 = -2*t - 4*s, -3*s + 9 = 0. Let f = t + -25. Calculate the remainder when 94 is divided by f.
6
Suppose 0 = 438*y - 353*y - 18275. What is the remainder when y is divided by 72?
71
Let w(d) = -3*d**2 + 31*d + 1. Let t be (-33)/(-66) - (-17)/2. What is the remainder when w(t) is divided by 22 - 6/(6 + -4)?
18
Let j(y) = y**3 - 24*y**2 - y + 30. Let g be j(24). Suppose 270 - 822 = -g*u. Let p = 17 - -2. What is the remainder when u is divided by p?
16
Suppose 15*y = 2679 - 774. Suppose -5*a + 192 = y. What is the remainder when 36 is divided by a?
10
Suppose 0 = -85*i - 56*i - 90*i + 2772. What is the remainder when 3849 is divided by i?
9
Let s be (7 + -1)*(-328)/(-24). Suppose 0 = -s*v + 84*v - 30. Let d = 339 - 220. What is the remainder when d is divided by v?
14
Suppose -5*q + 18 = 4*h, 5*h - h = 4*q. Suppose -4*y + 4*g + 34 = -74, -q*g - 31 = -y. Let s = 281 + -191. What is the remainder when s is divided by y?
21
Let a be (6/(-8) + (-5)/(-4))*2. Let v be a*(-14)/4*2. What is the remainder when v - 2476/(-36) - (-4)/18 is divided by 22?
18
Let c(y) = -2*y**3 + 2*y**2 + 4*y + 50. Let q = 18 + 10. What is the remainder when c(0) is divided by q?
22
Let h(m) = 53*m**2 - m - 4. Let k be h(-2). Let z = k + -153. What is the remainder when z is divided by 5?
2
Calculate the remainder when -5 - 127/(-25) - (-4 + 11384/(-200)) is divided by (1/(-3))/(2/(-30)).
1
Let o = 2445 + -2436. What is the remainder when 237 is divided by o?
3
Let c = 1891 - 1384. Suppose 2*t = -3*p + 8, 0*t + 3 = p + t. Suppose 5*n = 4*n + p*i + 181, -3*n = 3*i - c. What is the remainder when n is divided by 29?
28
Let g(j) = -j**2 + 7*j + 15. Let v be g(-2). Calculate the remainder when v - 3*(-106)/3 is divided by 19.
8
Suppose -8746 = -4*r + 2*u + 356, 0 = -5*r + 5*u + 11390. What is the remainder when r is divided by 34?
29
Suppose -m = -3*m - 4*y, 5*y + 75 = 5*m. Suppose 0*a - 2*a + 4*b - m = 0, -19 = -5*a - b. What is the remainder when a is divided by ((-6)/9)/((-2)/3)?
0
Let n = -63887 - -64074. What is the remainder when n is divided by -9*8*(-6)/9?
43
Suppose -331*c = -375*c + 10560. Calculate the remainder when 478 is divided by c.
238
Calculate the remainder when (-752)/(-12) - (-2)/(-3) is divided by 39/((-429)/(-154)) - -12.
10
Let v(q) = q**3 + 9*q**2 + q + 9. Let z be v(-9). Suppose 50*a - 59*a + 450 = z. Calculate the remainder when a is divided by 16.
2
Let s be 30/1*(-37)/(-74). Suppose s*w - 55*w + 440 = 0. Calculate the remainder when 85 is divided by w.
8
Let r(a) = a**3 + a**2 + 2*a + 282. Let s be r(0). Suppose 109 = 17*l - s. Calculate the remainder when 67 is divided by l.
21
Let g(r) = 4*r**2 - 12*r + 40. Let b be g(11). Suppose -5*k = -9*k - 4*v + b, 0 = -2*k + 5*v + 210. Calculate the remainder when k is divided by 29.
13
Let m = 107 - 67. Calculate the remainder when 117 is divided by m.
37
Suppose -582 = y - 590. Calculate the remainder when 212 is divided by y.
4
Let p be (-4)/(-6) - 29/3. Let z(t) = -t**2 - 12*t + 10. What is the remainder when z(p) is divided by (29/348*-12)/((-1)/13)?
11
Let c be (-2 + 3)/(6/438). Suppose 0 = 5*z - c - 242. Let n(o) = -3*o + 1. What is the remainder when z is divided by n(-5)?
15
Let m(u) be the second derivative of -19*u**3/6 + 27*u**2/2 - 131*u. What is the remainder when m(-4) is divided by (14/(-6))/(2/(-6))?
5
Suppose -12599*s = -12639*s + 37080. Calculate the remainder when 3710 is divided by s.
2
Suppose 0 = 2*n + 4*t + 14, -7 = -4*n - t - 0. What is the remainder when 657 is divided by (2/(-3))/(n/(2970/(-12)))?
52
Let c = -262 + 258. Let a(s) = 15 - 2 - 7*s - 3. What is the remainder when a(c) is divided by 14?
10
Suppose -428*o - 41183 = -129351. Calculate the remainder when 1644 is divided by o.
202
Let a(x) = x**3 - 21*x**2 + 4*x - 67. What is the remainder when 705 is divided by a(21)?
8
Let c(d) = d**2 + 238*d - 706. Suppose 6 = 2*r - 4*r, -4*w - 3*r = 89. Calculate the remainder when c(3) is divided by 2*(-1)/4*w.
7
Suppose 3*k - 12 = -c - 2, -5*k - 5*c = 0. Suppose 21*u - 25*u + 192 = -y, y + 239 = k*u. Calculate the remainder when 325 is divided by u.
43
Let i(o) = -2*o**3 + 23*o**2 - 23*o + 140. Calculate the remainder when i(11) is divided by ((-4)/10)/(2/(-10)).
0
Suppose 0 = 4*l + 3*b - 78, -5*b = -77*l + 72*l + 80. Let h(q) = 5*q + 2. Let n be h(-2). Calculate the remainder when (-14)/n*20/1 is divided by l.
17
Suppose 242*r + 3*o - 5022 = 239*r, r - 3*o = 1682. Calculate the remainder when r is divided by 240.
236
Suppose -2*i + 21 = -v - 9, 0 = 2*v - 3*i + 59. Let f = v - -31. Suppose 2*r + 10 = 2*g + 270, 2*r = f*g + 255. What is the remainder when r is divided by 17?
16
Suppose 63 = -71*w + 78*w. What is the remainder when 140/(2/9*9) is divided by w?
7
Let z be -1 - (-6 - -66 - 1). What is the remainder when 986 is divided by 36/z + (-14)/10*-79?
106
Suppose 5*r + 3*y - 90 = 0, -3*r = -3*y - 187 + 133. What is the remainder when (4 + -7)*-1 - -47 is divided by r?
14
Calculate the remainder when ((-9)/45*8)/((-5)/50) is divided by 2/23 + (-7752)/(-782).
6
Suppose 0 = 430*m - 180*m - 8250. What is the remainder when 171 is divided by m?
6
Suppose -3*l - 15 = 0, 3*i + 44*l - 1806 = 47*l. Calculate the remainder when i is divided by 15.
12
Let z(d) = 216*d - 4048. What is the remainder when 321 is divided by z(19)?
41
Calculate the remainder when 122 - (7 + -16 + 2) is divided by 1/(-6) + 199/6.
30
Let d(j) = j**2 - 8*j - 76. Let u(k) = k**3 - 4*k**2 + k + 4. Let v = 24 - 20. Calculate the remainder when d(-7) is divided by u(v).
5
Let c = 14641 - 14624. What is the remainder when 1848 is divided by c?
12
Let n = -119 - -119. Suppose -4*d + 79 + 122 = 5*f, -2*f + 2 = n. What is the remainder when d is divided by 25?
24
Let x(m) = -112*m + 239. What is the remainder when 