b - 900 = s. Suppose -2*n + 120 - 44 = 0. Calculate the remainder when b is divided by n.
35
Let c(b) = 3*b + 24. Let t be c(-7). Suppose t*i = 5*g + i - 188, -120 = -3*g + 3*i. What is the remainder when 62 is divided by g?
26
Let s = -23 - 89. Let q = s - -147. Calculate the remainder when 803 is divided by q.
33
Suppose 4*l + 5146 = 6*l + 2*f, 4*f = -20. What is the remainder when l is divided by 12?
10
Let g(r) = -r**3 + 22*r**2 - 6*r + 31. Let n(h) = h**3 + 21*h**2 - h + 2. What is the remainder when g(20) is divided by n(-21)?
21
Let g be ((-3)/2)/((-3)/8). Suppose g = a - 1. Suppose 1039*y - 1045*y + 168 = 0. What is the remainder when y is divided by a?
3
Let n be 674*(273/(-14))/(-13). Suppose 0 = -35*x + n + 1369. Suppose -21 = -2*v - v. What is the remainder when x is divided by v?
5
Suppose 157*u + 5 = 158*u. Suppose -5*h + 990 = 8*x - 3*x, h = u*x - 984. Calculate the remainder when x is divided by 66.
65
Suppose 941*a - 5*i + 6727 = 944*a, -a - 2*i = -2244. Calculate the remainder when a is divided by 32.
26
Suppose -99*s + 22*s + 21868 = 0. What is the remainder when 4541 is divided by s?
281
Let f = -82 + 146. Suppose -2*r = -5*a - 0 + 28, -1 = -r. What is the remainder when f is divided by 8/(32/84) - 24/a?
13
Let f be 1*-4 + 2280/24. Let u = -86 + f. Suppose -5*c - u*w = -125, 5*c = w + 111 + 32. Calculate the remainder when c is divided by 9.
1
Let z(s) = -s**3 + 2*s**2 + 3*s - 4. Let g be z(2). Suppose -5*m = d + 12, -7 = m - g. Suppose 27 = -d*y + 22*y. What is the remainder when 12 is divided by y?
0
Let p(o) = o**3 - 2*o**2 + 29*o - 69. What is the remainder when 206 is divided by p(4)?
48
Let l = -901 + 926. Let s(d) = d**3 - 7*d**2 + 9*d - 3. Let o be s(6). Suppose 71 = 4*m + 3*j, 0 = 2*j + 5 - o. Calculate the remainder when l is divided by m.
11
Suppose 0 = 29*p - 33*p + w + 2602, -6*w = -5*p + 3243. Calculate the remainder when p is divided by 229.
193
Let i(u) = -u**2 + 21*u - 50. What is the remainder when 2495 is divided by i(7)?
47
Calculate the remainder when 1833 is divided by -2 + 4 + -6 + 43 + -3.
33
Suppose 65*x = -9253 + 79128. Calculate the remainder when x is divided by 120.
115
Calculate the remainder when (-20)/(-90) + (-77539)/(-63) is divided by 19.
15
Suppose -2 = 5*d - 52. Suppose 5*o + 229 = -61. Let q = o + 107. Calculate the remainder when q is divided by d.
9
Let p(z) = 6*z**3 + z**2 + 5*z + 1. Suppose -9 = 6*r + 3. Let f be p(r). Let k = f + 87. What is the remainder when 132 is divided by k?
30
Calculate the remainder when 2450 is divided by (-1188)/(-28) + 24/42.
42
Suppose c - 71 = a + 17, 0 = 5*c + 2*a - 447. Let v = 100 - c. What is the remainder when -1 + 228/(4 + -1) is divided by v?
9
Let z(q) = q**3 - 11*q**2 + 9*q + 25. What is the remainder when z(11) is divided by 82?
42
Let z = -6279 + 6681. Calculate the remainder when z is divided by 102.
96
Suppose -154*f = -149*f - 24570. Suppose -3*j - 36*j = -f. What is the remainder when j is divided by 39?
9
Let m be 1/(-3 + (-335)/(-110)). Suppose 0 = -24*p + m*p + 508. Calculate the remainder when p is divided by 43.
39
Let z be (-7 - 152/(-24))*(-6)/(-2). Let n(i) = i**2 + i - 1. Let s be n(z). What is the remainder when 92 is divided by 38/(-2)*(-2 + s)?
16
Suppose -3*o + 2*r + 541 = -6232, 13*r + 13 = 0. What is the remainder when o is divided by 28?
17
Suppose -18*m + 1441 = 4*n - 5531, 0 = -3*n - 9. What is the remainder when 1188 is divided by m?
24
Suppose 4*b - 2*h - 96 = -70, -h + 1 = 0. Calculate the remainder when 427 is divided by b.
0
Let y(n) = n**2 - 2*n - 6. Suppose -4*s + 10 = 2*v, 0 = -3*s - v + 8. Suppose m - 97 = -4*h - 36, -6 = s*h. What is the remainder when m is divided by y(-4)?
15
Let t(a) = 51*a - 313. Let y be t(7). Let r = 534 + y. What is the remainder when r is divided by 117?
110
Let o(q) = 2*q**2 + 10*q - 11. Let g = 39 + -48. Let m be (-4)/(-3) - (5 - (-51)/g). What is the remainder when o(m) is divided by 7?
3
Calculate the remainder when 348 is divided by 18/21*(-9 - 2508/(-36)).
36
Suppose -5*k + 0*f + 306 = 3*f, -4*f = -8. Suppose -k = -4*z - 4*g, -3*z - g - 15 = -4*z. Let p = 2615 + -2573. What is the remainder when p is divided by z?
12
Calculate the remainder when 3190 is divided by (-3195)/(-27)*((-144)/(-15) - 9).
66
Suppose 0 + 8 = 2*l. Let o be 34/9 - 12/(-54). Calculate the remainder when 354/12 - 2/o is divided by l.
1
Suppose k + 0*d - 200 = -d, 0 = -5*d - 15. Suppose 8*p - 325 = k. What is the remainder when p is divided by 23?
20
Let j = 363 - 360. What is the remainder when ((-15)/(-30))/(3/8298*j) is divided by 22?
21
Suppose x - 68 = 8*s, 2*x + 0 = -3*s + 3. What is the remainder when 3752 is divided by x?
8
Let t(y) = 2*y - 1. Let i be t(-7). Let w(k) = -10*k - 80. Suppose 1 + 17 = u. Calculate the remainder when w(i) is divided by u.
16
Let m be 7/14*(28 + 0). Suppose -24 + m = -c. Let i(k) = 2*k. Calculate the remainder when i(8) is divided by c.
6
Let l(q) = q**3 + 58*q**2 + 12*q + 1045. Calculate the remainder when l(-58) is divided by 70.
69
Suppose -41*d - 337 = 9*d - 3637. Let n = -476 + 848. Suppose 75 - 668 = -3*c - w, 0 = 2*c - 4*w - n. Calculate the remainder when c is divided by d.
64
Suppose 14097 = 5*y + 2*v, -66*v + 63*v = 5*y - 14103. Calculate the remainder when y is divided by 141.
138
Let q = 29 + -27. Suppose -q*v - 320 = -0*v. Let s = v + 248. Calculate the remainder when s is divided by 15.
13
Let g(l) = -277*l - 7678. Calculate the remainder when 889 is divided by g(-28).
31
Let a(d) = -2*d**3 - 214*d**2 - 221*d - 841. Calculate the remainder when 216 is divided by a(-106).
103
Let x(z) = 13 + 22 - 15*z - 3*z - 43 - 2*z**2. Suppose -2*g = 2*g - 44. Calculate the remainder when x(-7) is divided by g.
9
Suppose 0 = -2*s + v - 3*v - 96, 4*v = 0. Let z be (1 - -2 - 4)*s. Suppose -z = -4*p - 2*p. What is the remainder when 13 is divided by p?
5
Suppose -86*k = -194*k - 171*k + 2194335. Calculate the remainder when k is divided by 207.
206
Suppose -14*u = 31*u - 5220. Let c(z) = -z**3 - 10*z**2 + 6*z + 11. Let s be c(-10). Let m = s + u. What is the remainder when m is divided by 23?
21
Suppose -9*y - 7*y = -16. Calculate the remainder when -1*(-6 + (-57)/y) is divided by 4.
3
What is the remainder when (18/(5 - -1)*-31)/((-6)/16) is divided by 10?
8
Suppose 3*a - 7*m + 5*m = 23107, 123189 = 16*a - m. What is the remainder when a is divided by 44?
43
Let l(b) = -157*b + 98*b**3 - 4*b**2 + 565 + 159*b - 99*b**3. Calculate the remainder when l(0) is divided by 71.
68
Suppose -5*d - 4*i + 14 = -2*i, 0 = 4*d - i - 19. Let a = 983 + -970. What is the remainder when a is divided by d?
1
Suppose f - 4*m = 60, 2*f + f - 4*m = 156. Calculate the remainder when 375 is divided by f.
39
Let j(q) = -q**3 - 21*q**2 + 22*q + 13. Let r be j(-22). Let z(c) = -11*c + 153. What is the remainder when 76 is divided by z(r)?
6
Let p = 16233 - 15220. Calculate the remainder when p is divided by 48.
5
Let y(z) = 14*z**2 - 15*z + 16. Let u be y(1). Suppose -13*g + 29 = 2*m - 16*g, u = m - 2*g. Calculate the remainder when 60 is divided by m.
8
Let p(h) = -6*h**3 - 60*h**2 + 21*h + 55. Calculate the remainder when p(-13) is divided by 101.
97
Suppose -2*g + 65 = 3*g. Suppose 6*q + 307 = 1729. Suppose -3*a - 3*u = -q, a + 3*u = -2*u + 87. Calculate the remainder when a is divided by g.
12
Let s(w) = 3*w + 21. Let j be s(7). Suppose 32 + j = 4*p + 2*l, 5*p - 100 = 5*l. Calculate the remainder when 110 is divided by p.
15
Suppose 30*o = -3*r + 27*o + 1299, 0 = 2*r - 4*o - 842. Calculate the remainder when r is divided by 27.
24
Suppose 38*n = 158 + 222. Let i(q) = -2*q**2 - 5*q + 1. Let l(r) = r + 1. Let t(j) = -i(j) - 6*l(j). What is the remainder when t(n) is divided by 31?
28
Let v = -95 + 74. Let r = 7 - v. Suppose -553 = -4*a - 5*w, 4*a + 4*w - 67 - 485 = 0. Calculate the remainder when a is divided by r.
25
Let v(w) = -27*w + 2. Let j be v(-3). Suppose -3*b = -5*b - 100. Let a = b + j. What is the remainder when a is divided by 12?
9
Let p(k) = k**3 + 8*k**2 - 2*k - 14. Let c be p(-7). Suppose -7*z + c = -70. Let v(h) = h**2 + 7*h + 9. What is the remainder when z is divided by v(-7)?
8
Suppose 2401 = -556*n + 605*n. What is the remainder when 6709 is divided by n?
45
Let q be (168 - 0)