8/(-5))/(11/(-770)*7). Suppose -521 = -17*p + g. Calculate the remainder when p is divided by (0 + 11)/(2 + -1).
8
Let o = -610 + 624. Suppose 3468 = o*f + 962. What is the remainder when f is divided by 19?
8
Let u(g) = -6*g**2 + 14*g - 2. Let f be u(1). Calculate the remainder when -2*22/(-8 + f) is divided by 13.
9
Let w(t) = -67*t - 528. Let y = -10 - -41. What is the remainder when y is divided by w(-8)?
7
What is the remainder when (8 + -6)/(-1 - 1496/(-1488)) is divided by 74?
2
Suppose -76*o + 9044 = 132 - 42008. What is the remainder when o is divided by 140?
110
Let x(m) be the second derivative of -2*m**3/3 + 50*m**2 - 12*m - 1. What is the remainder when x(10) is divided by 32?
28
Let m be 944/304 - (-4)/(-38). Suppose 0 = -2*h - m*v - 339 + 1019, 5*h + 2*v = 1700. What is the remainder when h is divided by 9?
7
Suppose 2*w + 6*s - 224 = 1092, 5*w = 2*s + 3171. Calculate the remainder when w is divided by 45.
7
Let j = -240 - -244. Suppose q = j*p + 31, -11*q = -15*q - 3*p + 67. What is the remainder when 5 + -5 - (-55 - 0) is divided by q?
17
Let u = 5861 - 5850. Calculate the remainder when 1600 is divided by u.
5
Suppose 4*l + 51 = 3*j, -3*j - 3*l = -6*l - 54. What is the remainder when 104 is divided by j?
20
Let y(q) = 3*q**2 + 15*q. Let d be y(-5). Suppose -125*g + 124*g + 44 = d. Calculate the remainder when g is divided by 12.
8
Let d(c) = c + 26. What is the remainder when -2 - 8 - 3*(-127)/3 is divided by d(0)?
13
Let c(d) = 2*d + 1. Let y(w) = 18*w + 6. Let k(a) = 2*c(a) - y(a). Let s be 18/4*(-4)/3. What is the remainder when k(s) is divided by 21?
17
Suppose 8*d + 4*x = 427 + 713, -4*x + 160 = d. Calculate the remainder when 1398 is divided by d.
138
Let a(k) = k + 8. Let f be a(-4). Suppose -f*q - 2*w + w + 571 = 0, 3*w - 283 = -2*q. Let c = 15092 + -15080. Calculate the remainder when q is divided by c.
11
Let p(w) = w**3 - 4*w**2 + w - 1. Let t be p(4). Suppose t*c + x - 3*x - 9 = 0, 5*x + 14 = -c. Calculate the remainder when 37 is divided by -4 - (20/(-2) + c).
2
Let x = -6667 - -7775. Calculate the remainder when x is divided by 224.
212
Suppose 3*q + 4*u - 3236 = 0, -q = 5*u - 260 - 804. What is the remainder when q is divided by 11?
6
Let o = 2007 + -1993. Calculate the remainder when 296 is divided by o.
2
Suppose 12*m - 20*m - 936 = 0. Let b = 128 - m. What is the remainder when b is divided by 54?
29
What is the remainder when 801 is divided by (-2 - (88 + 2))/(-1) - -9?
94
Suppose 4*y - 6 = -5*w + 2, -w = 5*y - 10. Suppose -12 = 46*d - 156 - 132. What is the remainder when d is divided by y?
0
Let g(a) = 7*a**2 - 10*a + 15. Let v be g(2). Suppose 0 = 4*j - 4*d - 160, -3*j = -5*d - 40 - 90. Let n = j - v. What is the remainder when 44 is divided by n?
8
Let p = 8445 - 8201. What is the remainder when 248 is divided by p?
4
Let a = 2509 - 2049. Calculate the remainder when a is divided by 453.
7
Let s = 605 - 410. Suppose -13*w = -16*w + s. Suppose -2*f = 3*f - 70. What is the remainder when w is divided by f?
9
Suppose 0 = 4*f + 4*f - 1088. Let j = f + -90. Let t(i) = -i**2 + 12*i + 5. Calculate the remainder when j is divided by t(11).
14
Let p be (5/(-3) - 0)*(-5 + 2). Suppose -2*j + 8 = -4*y, -p*j + 3*j + 3*y = -7. Calculate the remainder when ((-330)/18 - 1)/(j/(-3)) is divided by 12.
5
Suppose -5*o - 2 = f - 7, 20 = 4*f + 4*o. Suppose 3*h + 4*v - 29 = 19, -h - 5*v = -f. Calculate the remainder when -5*(3 - 2) + 63 is divided by h.
18
Let x = 15 - 25. Let q = 15 + x. Let o = 462 + -446. Calculate the remainder when o is divided by q.
1
Let u(a) = -164*a + 1862. Calculate the remainder when 1558 is divided by u(11).
50
Suppose 25503 = 7*c - 65917. What is the remainder when c is divided by 142?
138
Suppose 30*k = 47*k. Suppose k = 368*f - 358*f - 230. Calculate the remainder when 135 is divided by f.
20
Let c(s) = 38*s - 245. Let w be c(7). Suppose 29 + 55 = w*b. Let r = 1 - -4. Calculate the remainder when r is divided by b.
1
Let i(o) = o**3 - 8*o**2 + 18*o - 3. Let w be i(4). Let a(h) = -w - h + 32 - 14. What is the remainder when 69 is divided by a(-5)?
15
Let m = -1400 - -1496. What is the remainder when 1343 is divided by m?
95
Suppose 3*r = 5*z + 35, -5*r = 4*z - r - 4. Let u be 1 - (-2)/z*-46. Suppose 0 = -k + 35 + u. Calculate the remainder when k is divided by 10.
9
Suppose 4*p - 5*g = 64, 106*g - 109*g = 12. What is the remainder when (12/(-8))/(2/(-172)) is divided by p?
8
Suppose 5*n - 2*a = 380, 0 = 28*n - 23*n - 5*a - 380. What is the remainder when 228 is divided by n?
0
Let a(u) be the first derivative of u**3 + 61*u**2/2 + 2*u + 39. Calculate the remainder when 99 is divided by a(-21).
11
Suppose 234 = 34*n - 31*n. Let c = 182 - n. Calculate the remainder when c is divided by 37.
30
Suppose 0 = 3*r - 2*r - 2, 20 = 3*n + r. Suppose n*l + 159 = 9*l. Suppose -48*y = -l*y + 285. Calculate the remainder when y is divided by 17.
6
Let x(w) = 2*w + 164. Let s(y) = y**3 + 10*y**2 + 12*y + 120. Let o be s(-10). Calculate the remainder when x(o) is divided by 35.
24
Let b(f) = -f**3 + 13*f**2 + 6*f + 5. Let n be b(13). Let i = 108 - n. Calculate the remainder when 85 is divided by i.
10
Suppose -7*u - 35 = j - 2*u, 3*j + 4*u = -105. Let w = -45 - j. Calculate the remainder when 31 is divided by (4/1)/((-5)/w).
7
Suppose 2*o - 4*a + 2 = 0, 4*o - 3*o - 17 = -4*a. Suppose 5*k - 150 = 2*j, -o*k - 3 + 128 = 3*j. What is the remainder when 96 is divided by k?
12
Suppose 2*h - 74*h = -8*h - 6848. Calculate the remainder when 116 is divided by h.
9
Suppose 14*i + 125 = 699. What is the remainder when 610 is divided by i?
36
Let h be (-4)/(-10) - (-15)/(750/2780). Let f = 14 - 10. Suppose -f*b - 4*w + h = 0, 3*b - w - 17 = 29. Calculate the remainder when 43 is divided by b.
13
What is the remainder when -11 + 4 - (6/(-7))/(11/110341) is divided by 48?
47
Let c(j) = j**3 + 11*j**2 - 40*j + 27. Let l be c(-14). Calculate the remainder when 49 is divided by (l/(-8)*-2)/(6/(-408)).
15
Let s = -139 - -200. Let b(n) = -7*n + 62. Let g be b(14). Let x = s + g. What is the remainder when 98 is divided by x?
23
Suppose -100 - 115 = -5*u. Let n(b) = b**2 - 20*b + 218. What is the remainder when n(11) is divided by u?
33
Let j = -365 - -383. What is the remainder when (-5)/(-45) - (-1600)/j is divided by 47?
42
Let y = 5166 + -5120. What is the remainder when y is divided by 13?
7
What is the remainder when 42*(-84)/(-72) - (-6)/1 is divided by 6 - (-5)/(15/12)?
5
Let g(z) = z**3 - 16*z**2 - 28*z - 55. What is the remainder when 5161 is divided by g(18)?
88
Let c be (4 - 6)*2 + 4. Suppose n + 4*h = 13, -5*n = -3*h - c*h - 19. Suppose -t - 16 = -n*t. What is the remainder when 6 is divided by t?
2
Suppose 3*i = 5 + 1, -h = 4*i - 6. Suppose 2*y - 5 = y, -3*n + 83 = y. Calculate the remainder when ((-3060)/105)/(h/7) is divided by n.
24
Suppose -i = d - 45 + 3, 3*d - 110 = i. Suppose 43*b = d*b + 105. Calculate the remainder when 312 is divided by b.
18
Let z(l) = 6*l**3 + 2*l**2 + 5*l - 14. What is the remainder when z(8) is divided by 10?
6
Let h = 9524 - 9335. Calculate the remainder when 259 is divided by h.
70
Let k(d) = d**2 - 64*d - 677. Calculate the remainder when 295 is divided by k(74).
43
Calculate the remainder when (-52)/13 + 243 - -9 is divided by 128.
120
Suppose 0 = -8*t - 556 + 148. Suppose -3*b = 0, 4*s + 2*b = 5*b + 196. Calculate the remainder when (-121)/((4 - t/(-12))*2) is divided by s.
46
Suppose -638 = -4*i + 2*i. Suppose -f + s = -48, 4*f + 5*s + 112 = 286. What is the remainder when i is divided by f?
43
Suppose 12*t - 15*t = 2*v - 11113, 0 = -4*v + 4*t + 22316. What is the remainder when v is divided by 9?
8
Let k = 40437 - 8814. Calculate the remainder when k is divided by 42.
39
Suppose -4*n + 80 = -24*n. What is the remainder when 32 is divided by (-2 - 2) + ((-216)/n)/3?
4
Suppose 0 = -3*s + 2*r - 3*r + 2008, 5*r - 2692 = -4*s. Let v = -641 + s. Calculate the remainder when v is divided by 24.
3
Let m(b) be the first derivative of -b**2/2 + 16*b - 2. Let g(i) = 86*i - 765. Let j be g(9). What is the remainder when 27 is divided by m(j)?
6
Let n = 48 + -26. Let u be (-13416)/n - 7*(-6)/(-231). Calculate the remainder when u/(-8) + (-12)/48 + 1 is divided by 20.
17
Calculate the rema