3*s - 5 + 8 = -n. Let c(g) = -g**2 - 14*g - 36. Calculate the remainder when c(n) is divided by 2.
1
Suppose 18*g - 1106 - 707 = -31*g. Calculate the remainder when 198 is divided by g.
13
Let b(d) = 4*d**2 + 204*d - 145. Suppose -18 - 54 = -3*x. What is the remainder when b(-52) is divided by x?
15
Let t(c) = -6*c**3 - 11*c**3 - 3*c**2 + 8 + 2*c + c. Let n be t(-2). Suppose 4*g - 329 - n = -5*u, -5*g + 70 = u. What is the remainder when u is divided by 24?
23
Suppose 10*d = 8*d - 720. Suppose 104 = 5*a + 2*v, -33*a + 4*v + 12 = -32*a. What is the remainder when a is divided by (d/25)/(-6)*(-10)/(-4)?
2
Suppose -3713 = -15*j + 100080 - 4583. What is the remainder when j is divided by 35?
34
Let a(v) = 2*v**3 + 9*v**2 - 10*v - 15. Let w be a(8). Suppose 33*s = 28*s + w. What is the remainder when s is divided by 31?
22
Suppose 81 = 4*q - q. Let i = 925 - 914. What is the remainder when 56 + (-9 - (-11)/i) is divided by q?
21
What is the remainder when 2109 is divided by (6 + -3 - 10)*(-258)/301?
3
Suppose -4*j - m = -3*j - 12, -4*j = 5*m - 50. Let c = -123 - -180. Calculate the remainder when c is divided by j.
7
Let o = 3945 - 3885. Calculate the remainder when 177 is divided by o.
57
Let q be (-3)/(-1)*14 + (0 - 5). Suppose -g - q = -63. What is the remainder when 102 is divided by g?
24
Let k(s) = -s + 27. What is the remainder when 3399552/7904 - (-2)/(-19) is divided by k(0)?
25
Let y = -558 - -357. Let a = y + 223. What is the remainder when a is divided by 8?
6
Let r(n) = 3*n**2 - 3. Let p be r(2). Suppose -p*b + 80 = -163. Calculate the remainder when 50 is divided by b.
23
Let o be (-14)/21*1 - (-16)/6. Suppose -4*h + 60 = -2*j, -o*j - 33 - 10 = -3*h. Calculate the remainder when 22 is divided by h.
5
Let v be 18*(-5)/((-60)/(-64)). Let r = 202 + v. What is the remainder when r is divided by 31 - (-2 - (3 - 9))?
25
Suppose m + 3*m = 560. Let o(b) = -8*b + 24. Let a be 3/((-18)/6*(-1)/(-3)). Calculate the remainder when m is divided by o(a).
44
Let a = 1002 - 932. What is the remainder when 1258 is divided by a?
68
Suppose 10*t - 160 = 6*t. Let w(v) = -v**3 + 6*v**2 + 10*v + 14. Let l be w(8). Let m = 55 + l. What is the remainder when t is divided by m?
19
Suppose -3*y + 8*y - 445 = 0. Suppose m + m = -2*s + 42, -4*s + y = 5*m. What is the remainder when 32 is divided by s?
0
Suppose 13*t + 0*t - 91 = 0. Suppose -a - 1 + 0 = 0, 4*a + 28 = 3*y. Suppose -j - t = -v, v + 2*j - 5 - y = 0. What is the remainder when 32 is divided by v?
5
Suppose 0 = 3*z - 4*b + 3*b - 10, -5*b + 45 = 4*z. Suppose 27*y = 24*y + z*t + 131, -y + 77 = 5*t. Calculate the remainder when 519 is divided by y.
51
Let j(v) = 11*v + 13. What is the remainder when j(5) is divided by 61/4 + 1/(-4)?
8
Suppose 61 - 3 = x. Suppose -5574 - 36925 = -141*y + 5864. Calculate the remainder when y is divided by x.
53
Let t(d) = 27*d - 1. Suppose -j = -a + 14, -2*a + j = a - 36. Suppose 0*m - a = -m. What is the remainder when t(4) is divided by m?
8
Let z = -36209 - -40645. What is the remainder when z is divided by 15?
11
Let r = 188 + -124. Suppose -2*o + 28 = -2*z, 0*o + 34 = 2*o - 5*z. Calculate the remainder when o is divided by (-10)/(-4)*r/40.
0
Suppose 2*o = -6 - 0, 0 = -2*k + 5*o - 5. Let q(r) = r**2 + r - 5. What is the remainder when 247 is divided by q(k)?
77
Let l(p) = -p**2 - 26*p - 83. Suppose 3*j + 3*x + 54 = 0, -3*j + 11 = 4*x + 61. Calculate the remainder when 6 is divided by l(j).
1
Let j = -110 + 115. Suppose 0 = 3*x - 4*x - j*h + 284, 0 = -3*x - 4*h + 852. What is the remainder when x is divided by 15?
14
Suppose 4*w - 9 - 27 = 0. Suppose w*x = 7*x + 18. Suppose x*u - 7*u - 16 = 0. What is the remainder when 63 is divided by u?
7
What is the remainder when 37176 is divided by 1454/(-14)*(-462)/198 + (-4)/(-6)?
240
Suppose 0 = -4*g - 3*p + 31, -g = -9*p + 5*p + 16. Suppose -1 = q, -g*b - q - 8 + 255 = 0. What is the remainder when 180 is divided by b?
56
Suppose -154 = 6*j - 142. Let n(b) = 6*b**2 - 10*b - 23. What is the remainder when 188 is divided by n(j)?
20
Let p = 1735 + -1540. What is the remainder when p is divided by 87?
21
Let j(a) = -a**3 - 20*a**2 + 27*a + 9. Let f be j(-18). Let y be (-4)/(-16) + f/(-12). Let s = y - 65. What is the remainder when s is divided by 16?
13
Suppose 8*t + 3*t = 385. Calculate the remainder when (-1570)/(-12) + (20/10)/12 is divided by t.
26
Let z = 384 + -382. Suppose -4*u + 0*s + 358 = 2*s, -z*u + 184 = 2*s. What is the remainder when u is divided by 11?
10
Suppose -4*l - 5*h + 901 = 0, l - 3*h + 16 - 237 = 0. Suppose -61*x + 141*x - 725 = 51*x. What is the remainder when l is divided by x?
24
Suppose 3*n = j - 0*n - 12, -4*j = n - 113. Let x = 78 - j. Calculate the remainder when x is divided by 32.
19
Let i(c) = c**2 + 7*c + 15. Let u be i(-12). Suppose -105*n + 109*n - 72 = 0. Calculate the remainder when n is divided by 540/u + 2/(-10).
4
Suppose 35*z = 39*z - 3*f - 1102, 5*z = 3*f + 1379. What is the remainder when z is divided by 65?
17
Suppose -3*h - 19 = -3*l - 13, -2*h + 17 = 5*l. Calculate the remainder when 8 is divided by l.
2
Calculate the remainder when 12/8 - -5501*(-2)/(-4) is divided by 27.
25
Let p = 41191 + -41164. Suppose 5*c - 3*t - 187 = 460, -2*c = 4*t - 264. What is the remainder when c is divided by p?
22
Let x(y) = -y**3 - y**2 + 11. Suppose -5*v - 4*j = 216, j - 148 = 4*v - 2*j. Let p = -29 - v. What is the remainder when x(0) is divided by p?
0
Let x = -26 - -53. What is the remainder when x is divided by (-704)/(-33) - (-1)/(-7 - -4)?
6
Suppose 5*n - d + 93 = 0, 12*n = 7*n + 5*d - 85. Let q = 211 + n. What is the remainder when q is divided by 14?
10
Let x = 42 - 107. Let a = -64 - x. Calculate the remainder when -1*(-2)/3 + 80/6 is divided by a.
0
Suppose 2*o - 174 = -10*d + 14*d, -3*d = -12. Suppose 100*f - o*f = 270. What is the remainder when 214 is divided by f?
52
Suppose -x = -r - 77, -10*x + 5*r = -8*x - 157. What is the remainder when 13/((-26)/9)*x/(-3) is divided by 20?
14
Suppose 18*y - 9*y - 27 = 0. Suppose -a + y*z - 46 = 5*z, 4*z + 40 = -a. Let r = 64 + a. Calculate the remainder when 44 is divided by r.
8
Suppose 2*q - 610 = -13*z + 11*z, 0 = 14*q + 28. Suppose -6*u + u = -385. What is the remainder when z is divided by u?
76
Let i(c) = 2*c + 7. Let k(m) = 10*m + 2. Let n be k(-1). What is the remainder when (-6)/n + (-213)/(-4) is divided by i(6)?
16
Suppose 0 = -4*f - 2*a + 76, -3*a + 4*a + 13 = f. Let r(b) = -2 - 34*b + 55*b - 12 - b**2. Calculate the remainder when r(16) is divided by f.
15
Suppose 0 = -2*n + 136 - 26 + 294. Calculate the remainder when n is divided by 5.
2
Let i(t) = 3*t**2 - 14*t - 6. Let a(d) = d**3 - 9*d**2 + 3*d - 21. Let f be a(9). What is the remainder when i(f) is divided by 9?
0
Let q(s) = -7*s**3 - 2*s**2 - 168*s - 323. Calculate the remainder when 104 is divided by q(-2).
43
Let i = -24 - -13. Let q = i + 18. Calculate the remainder when (3808/(-49))/(-8) - 14/(-49) is divided by q.
3
Suppose -11*d = -29 - 37. Suppose -p + 3*r - 5*r = -d, 3*r = -4*p + 14. What is the remainder when 97 is divided by p?
1
Let o(b) = -b**3 - b**2 + 5*b + 3. Let z(g) = -1456*g - 136836. What is the remainder when z(-94) is divided by o(-3)?
4
What is the remainder when 403 is divided by 4/(-18)*-6 - 5040/(-27)?
27
Suppose 37*m - 243 = 34*m + 4*v, 68 = m + 3*v. Let k = 96 - m. Calculate the remainder when 120 is divided by k.
6
Let v be (-6 + 8)*10/4. Let h(t) = 110 - 27 - 72 - 53 - v*t. What is the remainder when 111 is divided by h(-10)?
7
Suppose -2 = -q + 2*o, 55 - 16 = 2*q + 3*o. Let p(f) = 2211*f + 33209. Calculate the remainder when p(-15) is divided by q.
8
Let h(p) = -p**3 + 20*p**2 - 36*p + 6. Let q be h(18). Calculate the remainder when 4 is divided by (8/q)/(19/((-399)/(-28))).
0
Let x be (44 - (12 - 6))*14. Suppose q - 2*q = -2, 0 = 5*l - 4*q - x. What is the remainder when 429 is divided by l?
105
Suppose 0*q - 3*k = -3*q + 12, -10 = -q + 3*k. Suppose 3 - 15 = -6*b. Calculate the remainder when q/5 + (-408)/(-60) is divided by b.
1
Let o = 57 + -66. Calculate the remainder when (10/(-4))/(3/(-30)) is divided by (o/(-4))/(3/12).
7
Let k(i) = -i**3 - 4*i**2 + 24*i - 86. What is the remainder when k(-10) is divided by 136?
2
Let b be 5/1 - (-310 +