).
22
Let w(d) = 3*d**2 + 2*d + 1. Let t be w(-1). Let y = 47 - t. Suppose -5*f + 120 = b, 49*f - 53*f + 97 = b. What is the remainder when y is divided by f?
22
Suppose -2*p + 756 = 58. Suppose -4*s - 20 = -f, -2*s - 2 = -0. Calculate the remainder when p is divided by f.
13
Suppose -13*d + 14*d = 47. Let n = 107 - d. Suppose -17*w + 12*w + n = 0. What is the remainder when 56 is divided by w?
8
Let u = -405 - -24. Let x = u - -587. What is the remainder when x is divided by 30?
26
Calculate the remainder when 3/(-9) + 115124/204 is divided by 264.
36
Suppose 8*y - 904 - 1462 = -6*y. What is the remainder when y is divided by 87?
82
Let j(p) = -p**3 - 3*p**2 - 8 + 8*p - 11 + 35 - 9. Calculate the remainder when 245 is divided by j(-6).
44
Let w(s) = -3*s**3 - 10*s**2 + s + 31. Let f(n) = n**3 + 12*n**2 + 22*n + 12. Let g be f(-10). What is the remainder when w(g) is divided by 92?
91
Calculate the remainder when 1886 is divided by (18/(-21))/((-4926)/378 - -13).
23
Let d(c) = -c**3 - c - 9. Let f be d(0). Let q = 36 + f. What is the remainder when q is divided by 14?
13
Let q(a) = 4*a**2 - a + 2. Let n(h) = 15*h - 170. Let p be n(10). What is the remainder when q(7) is divided by -16*(-2)/p*-10?
15
Let b = -367 + 409. Suppose -3*d - 2*m = -32, 2*m = 3*d - m - b. Calculate the remainder when 88 is divided by d.
4
Let t = 3286 + -3255. Calculate the remainder when 207 is divided by t.
21
Let z be 7 + -10 - (0 - 11). Let v = 15 - z. Suppose -3*n + 19 = 2*o - 22, 4*o = 4*n - 48. What is the remainder when n is divided by v?
6
What is the remainder when 484 is divided by 2*256/16 + 13?
34
What is the remainder when 334 is divided by (13/8)/((-8)/(-128))?
22
Suppose -1358 = 52*q - 149*q. What is the remainder when 329 is divided by q?
7
Suppose -23 = -4*l + 221. Suppose 38 = 11*z - l. What is the remainder when 69 is divided by z?
6
Suppose -11*n + 7*n = -120. Suppose -1571 + 1131 = -5*i. What is the remainder when i is divided by n?
28
Let s be (-2)/(-10) - 14640/(-50). Let o = s - 203. Suppose 62 + o = 2*r. What is the remainder when r is divided by 26?
24
Suppose -179*h + 254*h = 600. Calculate the remainder when 2570 is divided by h.
2
Suppose -5*b = -b + 56. Let t(h) = -h**3 - 20*h**2 - 98*h - 2490. What is the remainder when (b/(-4))/((-2)/(-20)) is divided by t(-21)?
8
Let h(n) = -n**3 - 3*n**2 - 3*n + 6. Suppose 64*o - 63*o - 18 = 0. Suppose 14*p - 20*p = o. Calculate the remainder when 86 is divided by h(p).
11
Suppose 5*c = 3*s - 432, -5*s + 720 = 3*c - 0*c. Let y = s - 124. What is the remainder when y is divided by 11?
9
Suppose -42 = -3*i - 27, -2*j = 2*i - 71548. Calculate the remainder when j is divided by 271.
268
Suppose -5*i = 3*w - 45, 19 = w + 10*i - 7*i. Let q = 159 + -43. Calculate the remainder when q is divided by w.
6
Let x(a) = 3*a**2 - 87*a - 88. What is the remainder when 1372 is divided by x(30)?
0
Suppose 0 = -s - 3*o - 45, s + o + o = -47. Calculate the remainder when 327 is divided by ((-15)/4)/(s/136).
7
Suppose 0 = -5*i + 5*h + 595, 4*h + 0*h = -4. Calculate the remainder when i is divided by (-846)/(-78) - ((-2)/13 - 0).
8
Let f(n) = n**2 - 15*n + 27. Let d be f(13). Let o(v) = -14*v. Calculate the remainder when o(-5) is divided by (d - 1)/(1 - -1) - -18.
16
Let y be 92/9 - 10/45. Let o(f) be the second derivative of f**4/12 - f**3 - 31*f**2/2 - 39*f. What is the remainder when o(y) is divided by 5?
4
Suppose 6*k + 7*k = -52. Calculate the remainder when (2 + k + 3)*(80 + -5) is divided by 11.
9
Let g = 40 + 38. Let p be 1/(3/9*(-9)/(-15)). Suppose 0 = 4*w - p*w + 12. Calculate the remainder when g is divided by w.
6
Suppose -16 = -3*v + 4*l, -2*v + 5*l + 16 = l. Suppose 0 = -v*s - 2*s + 4. Calculate the remainder when (-13)/(-3) + ((-24)/(-9))/4 is divided by s.
1
Suppose 20*r = 11*r + 1071. Let w = r + -110. Suppose -w = -14*f + 117. Calculate the remainder when 12 is divided by f.
3
Let h = -23 + 38. What is the remainder when (-78)/(-91) - (5 + (-953)/7) is divided by h?
12
Suppose -2*y = 11 - 15. Suppose 0 = y*c - 2*i - 211 - 109, 0 = -c + 5*i + 180. Calculate the remainder when c is divided by 39.
38
Suppose -546 + 1470 = 40*o - 516. Calculate the remainder when 4499 is divided by o.
35
Suppose -11*c + 900 - 328 = 0. Suppose -3*r + 7*r - 480 = -2*d, -106 = -r - 4*d. Calculate the remainder when r is divided by c.
18
Let j(r) = r**3 + 4*r**2 - 10*r + 10. Let n be j(5). Let h = n + -110. Calculate the remainder when h is divided by 40.
35
Let a be (-12350)/(-722) - (-2)/(-19). Calculate the remainder when 49 is divided by (2 - (9 - 6))*-1*a.
15
Suppose 20*m - 69 = -14*m + 11*m. What is the remainder when 702 is divided by m?
0
Suppose 130 = 5*t - 5*i, 415*t + 139 = 420*t - 2*i. What is the remainder when 1477 is divided by t?
27
Calculate the remainder when 3523 is divided by ((-25515)/(-85))/7 - 12/(-102).
40
Suppose 91*o - 88*o - 36 = 0. Suppose 0 = -3*y - 2*v - 2*v + 13, -o = -2*y - v. Calculate the remainder when 61 is divided by y.
5
Let f(v) = v**3 + 15*v**2 - 14*v + 34. Let y be f(-14). Calculate the remainder when y/((-5)/((-10)/4)) is divided by 18.
15
Suppose -2*g = -4*a + 801 + 517, 5*g = 4*a - 1321. Calculate the remainder when a is divided by 10.
9
Let l = 15321 + -15306. What is the remainder when 6374 is divided by l?
14
Calculate the remainder when ((-120)/(-84))/((-3)/(-273)) is divided by (-2)/(-4)*(-2 + 90)/1.
42
Let b = -8 + 15. Suppose 24*w = 16*w - 128. Let n = w - -50. What is the remainder when n is divided by b?
6
Let s be (1 + -2)*(0 + -31). Let z = 59 + s. Suppose -24*g + 70 + 45 = -197. Calculate the remainder when z is divided by g.
12
Let k(r) = -20*r + 190. Let v be k(8). Suppose 172 = t - v. What is the remainder when t is divided by 5?
2
Suppose 3*s = 559 - 25. What is the remainder when s is divided by (-242)/(-8) - 46*(-49)/(-9016)?
28
Let n = -6885 + 9133. Calculate the remainder when n is divided by 9.
7
Suppose -6803*u + 6793*u = -110. Let a(l) = l**3 - 9*l**2 - 14*l + 31. Calculate the remainder when a(12) is divided by u.
9
Suppose -61*c + 126*c - 56*c = 369. What is the remainder when 800 is divided by c?
21
Let f = 132 - 128. Suppose -5*t - 63 = -a - 15, -12 = f*t. What is the remainder when 55 is divided by a?
22
Let g be (1 - 9)*32/4. Let j = -509 - -507. Let y = j - g. What is the remainder when y is divided by 33?
29
Let m be 9/(-9) - (-4 + 1). Suppose -14 = 4*c + 5*x, -m*c + 3*c - 2 = -4*x. Let b(i) = -4*i + 8. Calculate the remainder when 125 is divided by b(c).
29
Suppose 73*i - 70*i + 4*k = 17923, 2*k + 29889 = 5*i. What is the remainder when i is divided by 65?
62
Let x(z) = 60*z**2 - 2*z + 1. Calculate the remainder when 115 - ((-156)/13 - (-15 - -3))/(-1) is divided by x(1).
56
Let n(v) = -3*v - 8. Let c = 224 - 43. Let t = c - 103. Calculate the remainder when t is divided by n(-8).
14
Suppose 4*v - t - 19 = 0, -3*t = 3*v - t - 6. Suppose -p - 7 = 3*a + 4*p, 4*a + v*p = -12. Calculate the remainder when 23 is divided by 4/2 + a/(-1).
5
What is the remainder when -7 + 6 + (1 - 5) - 9951/(-93) is divided by 34?
0
Suppose b = 5*s - 1330, 4*s + 266 = 5*s + b. What is the remainder when 815 is divided by s?
17
Let d be 2/4 - (-6 + 1524/(-8)). Suppose -4*n = -d - 31. What is the remainder when n is divided by 22?
13
Suppose -r - 893 = -2*z, -899 = 163*z - 165*z + 3*r. Calculate the remainder when z is divided by 65.
55
Let s = 25 + -11. Suppose 0*m + 4*m - 4*p = 356, -366 = -4*m + 2*p. Suppose m = -g + 2*g. Calculate the remainder when g is divided by s.
10
Suppose 4*q + 25 = 3*l, -l + 519*q = 515*q - 11. Calculate the remainder when 1530 is divided by l.
4
Suppose 0 = -4*a - 1 + 49. Let u = -6928 + 6951. What is the remainder when u is divided by a?
11
Let c = 307 + -298. Suppose -c*r + 1788 = 3*r. What is the remainder when r is divided by 25?
24
Suppose 166*x - 164*x = 4. Suppose -x*v - 5*v + 35 = 0. Calculate the remainder when 49 is divided by v.
4
Suppose -8090 = -42*a + 53902. Calculate the remainder when a is divided by 185.
181
Calculate the remainder when 10454/16 + (-45)/960*8 - 5 is divided by 35.
18
Suppose 87*l + 42*l - 4257 = 0. What is the remainder when 344 is divided by l?
14
Let b(z) = z**3 + z + 15. Let h be b(0). Let w = h + 26. Suppose