c = -523 - v. Calculate the remainder when c is divided by 10.
8
What is the remainder when ((-6)/(-4))/(1/22) is divided by (9/(-2))/((-3)/5*(-1005)/(-1608))?
9
Suppose 5*d - 14174 = 4*r, 186*d = 184*d + 2*r + 5672. Calculate the remainder when d is divided by 19.
18
Suppose -52 - 44 = -8*b. Calculate the remainder when -1*2 - (b + -124) is divided by 38.
34
Suppose 17*a = -2*r + 13*a + 180, 0 = -2*a. What is the remainder when 133 is divided by r?
43
Let c be ((-56)/(-16))/((-2)/(-4)). Suppose -c*o + 266 = 7*o. What is the remainder when 92 is divided by o?
16
Suppose -2*m + 2*r = -50, 2*m + 0*r = -2*r + 46. Suppose -d - d = 162. Let o = d + 152. What is the remainder when o is divided by m?
23
Let m(z) = 2*z**2 - 3*z + 22. Let a be m(4). Suppose -3*l = -0*i + 2*i - a, l + 5*i = 14. Calculate the remainder when l is divided by 2/(-10) + 4*(-164)/(-80).
6
Suppose -6*j + 16 = -14. Suppose 135 = j*q - 4*o, 7*o - 113 = -3*q + 3*o. What is the remainder when 185 is divided by q?
30
Let o = -48 - -90. Let x = -44 - o. Let l = -53 - x. What is the remainder when l is divided by 17?
16
Let c = -174 - -249. Let x = 79 - c. Calculate the remainder when 102 is divided by (-30)/x*3/((-6)/4).
12
Let t = 45 - -129. Suppose -183 = -7*v + t. Calculate the remainder when v is divided by 19.
13
Let m = 982 + 2210. Calculate the remainder when m is divided by 188.
184
Let i be 4 + (1 - (-638 - -7)). Suppose 4*w = -i + 2980. What is the remainder when w is divided by 49?
47
Let u = -230 - -383. Let h = 109 - u. Let t = -18 - h. Calculate the remainder when 51 is divided by t.
25
Calculate the remainder when (2/(-3))/(32/48) + 2131 is divided by 1059.
12
Let l(t) = 133*t**2 - 64*t**2 - 24 - 67*t**2 + 5*t. Let v = -581 + 614. What is the remainder when l(-8) is divided by v?
31
Let b(i) = 61*i**2 + 10. Suppose -3*y + y = 6. Let p be b(y). Suppose -8*l = -25 - p. What is the remainder when l is divided by 25?
23
Let z = -8 - -23. Suppose 10*n - 15*n + z = -h, 4*h - 20 = 0. What is the remainder when 174 is divided by n?
2
Suppose -4123 - 4142 = 4*a - 8309. What is the remainder when 389 is divided by a?
4
Suppose -11*l = 2*l. Let i(u) = 174*u**2 + 2*u + 2. Let v be i(-1). Suppose 2*q + q - v = l. Calculate the remainder when q is divided by 22.
14
Suppose -571073 - 483906 = -72*y - 19835. What is the remainder when y is divided by 91?
90
What is the remainder when 1/1*-5 + 145/(1160/2304) is divided by 53?
18
Suppose -4*b + 5740 = -6*q, 3*b = 5*q + 5797 - 1491. Calculate the remainder when b is divided by 10.
2
Suppose -377 + 419 = -7*p. Calculate the remainder when -12 - -6 - p - 71*-1 is divided by 38.
33
Suppose 2*z - 24 = -2*j, -2*z + 0*j + 9 = -j. Suppose 3229 = 3*q - o + 2681, -14*q - 3*o = -2496. Calculate the remainder when q is divided by z.
5
Suppose -v - 12*v - 4*v + 1547 = 0. What is the remainder when v is divided by 76?
15
Suppose -3*j + 261 = 4*a, 3*a + 140 = -4*j + 488. Calculate the remainder when 426 is divided by j.
78
Let k = -21103 + 21128. Let j(l) = 6*l**2 - 2*l - 1. What is the remainder when j(3) is divided by k?
22
Suppose -235*v + 3219 + 5176 = 1345. What is the remainder when -3 - (-1)/((-2)/(-544)) is divided by v?
29
Suppose 43 = v - 4*y, y = v - y - 43. Let r = -2689 + 2720. Suppose -r - v = -2*z. What is the remainder when z is divided by 10?
7
Suppose -4*t + 6*x + 45 = x, 0 = 3*t - x - 20. Let z(o) = 326*o - 8342. Calculate the remainder when z(26) is divided by t.
4
Suppose 0 = -2*h + 2*b + 20, 0 = 2*b - 4*b - 6. Suppose 7*q - 2407 + 937 = 0. Suppose h*r - q = -3*r. What is the remainder when r is divided by 6?
3
Let g(z) = -z**2 - 16*z + 61. Let x be g(-23). Calculate the remainder when (-20)/x - 269/(-5) is divided by 21.
12
Let z be ((-8)/(-16))/((-4)/(-48)). Calculate the remainder when 556 is divided by 380/z + 44/(-33).
60
Let n(j) = -245*j - 3627. What is the remainder when 2638 is divided by n(-15)?
46
Let c be 1928/9 + -8 - (-6)/(-27). Suppose -4*m - 2*b = -8*m + c, m = -3*b + 48. What is the remainder when m is divided by 40?
11
Calculate the remainder when 5819 is divided by 1067*(-18)/(-264)*(-8)/(-6).
96
Let x = 10615 + -10346. What is the remainder when 801 is divided by x?
263
Suppose -2*g - w + 83 = 0, -2*g + w - 5*w + 92 = 0. Calculate the remainder when 11638 is divided by g.
38
Suppose -66*y = -12*y - 240 - 6618. Suppose -b + 4*d = -1, b + 0*d - 7 = 2*d. What is the remainder when y is divided by b?
10
Let b(f) = 26*f**2 - 207*f + 29. What is the remainder when 763 is divided by b(8)?
23
Suppose 0 = 2*l - 7*l + 485. Let o = -90 + l. What is the remainder when o is divided by ((-1)/3)/(5/(-15))?
0
Suppose 15*t - 107*t - 56 + 2632 = 0. Let v = 3 - 1. Suppose 14 = v*n - 2. What is the remainder when t is divided by n?
4
Let w(o) be the third derivative of -13*o**6/30 - o**5/30 - o**4/24 - 119*o**2. What is the remainder when w(-1) is divided by 33?
18
Let r(k) = 74*k + 2553. Suppose -47 = 3*c - 4*c. What is the remainder when r(-32) is divided by c?
44
Let c(a) = -a**3 + 43*a**2 + 193*a - 583. Let r(l) = -l**3 - l + 296. What is the remainder when r(0) is divided by c(-6)?
20
Let z = -132 + 307. Let i = z + -29. What is the remainder when i is divided by 37?
35
Let l(w) = 3 - 3*w + 6*w - 2*w**2 - 2*w**3 - w**3. Let p = 947 + -949. Calculate the remainder when 40 is divided by l(p).
1
Suppose 4*o - 16*c + 12*c - 1500 = 0, 5*o - 1851 = c. What is the remainder when o is divided by 24?
9
Let i = -4 - -21. Let b(x) = 10*x - 2. Calculate the remainder when b(i) is divided by 19 + 9/3 - 3.
16
Suppose 3*b - 4*x = 169, -b + 6*x - 10*x + 35 = 0. Calculate the remainder when 3366 is divided by b.
0
Let f(t) = 8*t - 79. Let z be f(-5). Let l = z + 129. Calculate the remainder when 97 is divided by l.
7
Suppose -392*q - 50 = -402*q. Suppose -4*s = 4*w - 156, s = 2*s + q*w - 31. Calculate the remainder when s is divided by 19.
3
Suppose h - 5*h + 28 = 0. Let y = -962 + 1010. Suppose 20*v - 24*v = -y. What is the remainder when v is divided by h?
5
Suppose k - 5422 = -5344. What is the remainder when 288 is divided by k?
54
Let s = 1797 + -1520. Calculate the remainder when s is divided by 94.
89
Suppose 39 = 5*c + 3*x, 3*c - c = -3*x + 21. What is the remainder when 87 is divided by c?
3
Suppose 5*m = 3*d - 135, 72 = -2*d - 2*m + 194. What is the remainder when 170 is divided by d?
5
Suppose -5*t = -0*t - 75. Let n = -175 - -174. What is the remainder when (n*6/(-9))/(1/132) is divided by t?
13
Let k(l) = l**3 - 10*l**2 - 6*l + 11. Calculate the remainder when k(11) is divided by (-1)/(-3*1/6) + 26.
10
Let b(o) = -5*o + 496. What is the remainder when 438 is divided by b(96)?
6
Suppose -3*h = -5*t + 259, -7*t - 35*h = -38*h - 371. Calculate the remainder when 1822 is divided by t.
30
Let l(c) = 11*c - 48. Let z be l(-11). Let i = -144 - z. What is the remainder when 42 is divided by i?
17
Let w(s) = -129*s - s**3 + 14*s**2 - 120*s + 219*s. Calculate the remainder when w(11) is divided by 9.
6
Let v = -760 - -1214. Suppose -2606*r + 928*r + 152698 = 0. What is the remainder when v is divided by r?
90
Let z(l) = -l**3 + 13*l**2 + 40*l - 206. Calculate the remainder when 608 is divided by z(14).
134
Let j(f) = 22*f + 24. Let v be j(-7). Calculate the remainder when v/(-3) - (-9 + 392/42) is divided by 26.
17
Suppose 0 = -42*i + 38*i + 56. Let t(j) = j**2 - 19*j - 23. Let c be t(20). Calculate the remainder when (27/6)/c*-46 is divided by i.
13
Let j(z) = z**3 + 5*z**2 - 4*z - 29. Let t be j(-4). Suppose 2*s = 2*a + 44, 4*s - t*a - 8 = 75. What is the remainder when 6/(-4)*33/9*-12 is divided by s?
15
Suppose 4*j - 17 = -3*f, 1 = f + 3*j - 8. Suppose -f*v + 15 = -27. What is the remainder when 63 is divided by v?
7
Let a(l) = l**3 - 7*l**2 + 10*l - 11. Suppose -t + 18 = 2*t. What is the remainder when 75 is divided by a(t)?
10
Suppose -5 = 3*z - 14, z + 17 = 5*m. Suppose 0 = 8*y - m*y - 20, h - 544 = 4*y. Calculate the remainder when h is divided by 7.
4
Let p = -32 + 54. Suppose 1 = 2*v - i, -5*v + 3*i + 7 = 2*i. Suppose v*l = 4*u - 2, 8 - p = -u - 4*l. What is the remainder when 5 is divided by u?
1
Suppose 4*f = 2*f + 356. Suppose 2868*p - 155756 - 46556 = -27364. What is the remainder when f is divided by p?
56
Let f(z) = 