ppose 0 = 4*x + 5*s - p, -6*s = x - 2*s - 56. What is the remainder when x is divided by 9?
7
Suppose 0*g + 4 = 4*g. Suppose 16 = h - 5*s, -21 + g = -2*h + 4*s. Calculate the remainder when h is divided by 2.
0
What is the remainder when 453 is divided by (-1884)/(-36) + -16 + 4/6?
9
Let i = -5 - -7. Suppose h + 418 = 6*h + i*u, -2*h + 180 = 4*u. What is the remainder when h is divided by 28?
26
Suppose -t + 3*i + 14 = 0, -5*t + i - 6*i = -10. Let u = -343 + 349. What is the remainder when u is divided by t?
1
Suppose 7 = -4*f + 15. Suppose -f*s + 376 = 2*s. Calculate the remainder when s is divided by 32.
30
Let g(f) = -6*f**2 + 1 + 0 + 4*f**2 - 4*f**3. Suppose p - 3*p = -28. Calculate the remainder when g(-2) is divided by p.
11
Let c(f) = 10*f - 1. Let k(t) = t - 2. Let u be k(-2). Calculate the remainder when (u + 13)*-6*-1 is divided by c(2).
16
Suppose 62*u - 3034 = 25*u. What is the remainder when 162 is divided by u?
80
Suppose -6*i + z + 3*z + 442 = 0, 3*i = -3*z + 216. What is the remainder when 138 is divided by i?
65
Let o(s) = 2*s**3 - 3*s**2 - 15*s - 11. Let z be o(-4). Let k = 151 + z. What is the remainder when k is divided by 8?
0
Let v(t) = 31*t + 1934. Calculate the remainder when (-2 - (1 + -46)) + 2 is divided by v(-62).
9
Let p = 50 - 44. Suppose -p*c + 3*c + 39 = 0. What is the remainder when 45 is divided by c?
6
Suppose 3*x + c - 6*c = 66, 0 = 2*x - 2*c - 48. Calculate the remainder when 76 is divided by x.
22
Suppose 0 = u - 2*d - 12, -4*u + 10 = d - 65. Let z(b) = -u*b + 6*b**3 + 9*b**2 - 7*b**3 + 6*b + 8. What is the remainder when z(7) is divided by 12?
10
Let d = 18 + -11. Suppose 2*x = 4*c + 12, c = -12*x + 14*x - 30. What is the remainder when x is divided by d?
4
Suppose 34*p - 3276 = 6278. What is the remainder when p is divided by 39?
8
What is the remainder when 697 is divided by 14 + -6 - (-8 - (1 - 3))?
11
Suppose -323 = -19*b + 152. Let z(v) = 5*v - 13. Let r(k) = -2*k + 6. Let a(i) = 9*r(i) + 4*z(i). What is the remainder when b is divided by a(6)?
11
Suppose -5*g + 2*g = -9. Suppose 4*c - g*u = -8*u + 44, -3*c = -5*u - 68. Calculate the remainder when 47 is divided by c.
15
Suppose 47 = -3*m + 4*m. Suppose 3*c + 154 = 700. Calculate the remainder when c is divided by m.
41
Suppose 0 = 4*x - 12, 0 = 3*j - 241*x + 239*x - 51. Suppose 0*f + 8 = -4*f. Let u(h) = -4*h + 2. Calculate the remainder when j is divided by u(f).
9
Suppose 0 = n + 4*x - 27, 0*n - 30 = -n - x. Calculate the remainder when n is divided by 25.
6
Suppose 5*z + 20 = 4*n, -5*n + z = -2 - 2. Suppose -4*m - 2*s + 3*s + 240 = n, 2*m = 3*s + 130. Let d = -16 + m. Calculate the remainder when d is divided by 9.
7
Let m(f) = -f**3 - 13*f**2 + 14*f + 5. What is the remainder when (-8)/6 - 3822/(-126) is divided by m(-14)?
4
Suppose -g - 2*t = -5*t - 45, 0 = 2*g + 3*t - 63. Let z(a) = -2*a - 5. Let r be z(-4). Suppose -6 = -r*q + 51. What is the remainder when g is divided by q?
17
Let k = 41 + -27. Let c = 128 + -89. Calculate the remainder when c is divided by k.
11
Let q(p) = -p + 1. Let i(s) = -16. Let u(v) = -i(v) - 4*q(v). Calculate the remainder when u(4) is divided by 12.
4
Suppose -2*c = -18*c + 368. Suppose -4*g = 7 - c. What is the remainder when 14 is divided by g?
2
Let o(u) = -u**2 - 5*u + 10. Suppose -5 = 5*a + 20. What is the remainder when 24 is divided by o(a)?
4
Suppose 4*t - 37 = 5*q + 7, -t + 12 = -q. Calculate the remainder when 111 is divided by t.
15
Let t = -720 + 848. Calculate the remainder when t is divided by 19.
14
Suppose -5 + 13 = 4*c. Suppose -c*q - q = -6. Suppose 2*g = -q*p + 10, 4*g = -0*p + 2*p + 50. What is the remainder when g is divided by 4?
2
Let q = 55 - 27. Suppose q = 2*m + 8. Calculate the remainder when 26 is divided by m.
6
Let u = -40 - -31. What is the remainder when 62 is divided by ((-5)/1)/(u/63)?
27
Let b(o) = -2*o - 1. Let y be b(-3). Suppose y*v + 75 = 5*t, -4*t + 3*v = 6*v - 60. What is the remainder when t is divided by 4?
3
Let m = 31 + -34. What is the remainder when m + 50 + -1 + -1 is divided by 87/12 + 15/20?
5
Suppose -220 - 136 = -g. What is the remainder when g is divided by 18?
14
Suppose 45*i - 55*i + 290 = 0. Let h = -86 - -200. Calculate the remainder when h is divided by i.
27
Calculate the remainder when 240 is divided by (-3 + 0)*-11 + 30/(-5).
24
Let g = 1903 - 1853. What is the remainder when g is divided by 34?
16
Let a = -20 + 38. Let w(b) = -b**3 + 14*b**2 - b + 16. Let z be w(14). What is the remainder when (-3)/(52/(-138) + z/6) is divided by a?
15
Let n = 324 - 176. Calculate the remainder when n is divided by 3.
1
Let s = -94 - -100. Suppose 0 = -2*n - 10, -r + s = n - 3. What is the remainder when r is divided by 4?
2
Suppose 4*v - 103*x = -100*x + 18, 5*x = -10. Calculate the remainder when 13 is divided by v.
1
Let d(s) = -2 - 7 + 6*s + s - 17*s. What is the remainder when 27/(7/(-10) + 1) is divided by d(-4)?
28
Let f(y) = y**3 - 5*y**2 - 10*y - 6. Let u be f(7). Let h = u - 4. Calculate the remainder when 34 is divided by h.
16
Let k = -39 + 61. Let p = -5 + k. Calculate the remainder when (-1)/(57/1178*6/(-9)) is divided by p.
14
Let i(o) = -o**2 - 9*o - 14. Calculate the remainder when 12 is divided by i(-6).
0
Let k = 18 + -10. What is the remainder when 39 + 4/(-14) + 10/(-14) is divided by k?
6
Suppose -343*z + 553 = -336*z. What is the remainder when z is divided by 72?
7
Let q = 829 + -423. Suppose 0*o - 615 = -3*o + 3*p, -q = -2*o + 4*p. What is the remainder when o is divided by 30?
27
Suppose 0*l - i = -4*l + 150, 5*i + 10 = 0. Suppose -21*f + 214 = 4. Calculate the remainder when l is divided by f.
7
Suppose -8*j = 4*j - 108. Calculate the remainder when 6/14 - (-872)/56 is divided by j.
7
Suppose 4*l + 4*t = 7*t + 93, 2*t - 99 = -5*l. What is the remainder when 122 is divided by l?
17
Let a(t) = -22*t**3 + 3*t**2 - 6*t - 8. Calculate the remainder when 183 is divided by a(-1).
22
Let f = -3386 + 3394. Suppose 0 = -3*d - 5*i + 31, 64 = 4*d - 2*i + 14. What is the remainder when d is divided by f?
4
Suppose 0 = -5*y + g + 972, -4*g = 2*y - 2*g - 396. What is the remainder when y is divided by 94?
7
Calculate the remainder when (-13)/(-117) - (-1131)/27 is divided by 11.
9
Let q(o) = 31*o + 445. What is the remainder when 16 is divided by q(-14)?
5
Let k = -1292 - -4234. Calculate the remainder when k is divided by 31.
28
Suppose 0 = -4*y + 2*y + 8. Let c = y - -37. What is the remainder when c is divided by 11?
8
Suppose 5*a = -6*l + 3*l + 37, 5*a = 3*l - 17. Let n = 12 - l. Let g = 4 + n. What is the remainder when 20 is divided by g?
6
Suppose -62 = -3*q - 2*b, 0 = 3*q - 2*b - 43 - 27. Let f = 13 - -71. What is the remainder when f is divided by q?
18
Suppose -19*k = 783 - 5628. Calculate the remainder when k is divided by 86.
83
Let b(g) = -g**2 + 18*g + 18. Let a be b(15). Suppose a = 7*l + 2*l. Calculate the remainder when 48 is divided by l.
6
Let g = 20 + 1. Calculate the remainder when (0 - 41)*(-2 + 0) is divided by g.
19
Suppose -i + 5*h + 60 = 0, 4*h = -7*i + 4*i + 104. Calculate the remainder when 199 is divided by i.
39
Let k = -544 + 82. Let a be ((-1)/2)/((-11)/k). Calculate the remainder when -3 - (-4)/((-4)/a) is divided by 5.
3
Calculate the remainder when 279 is divided by 41 - 3 - (-9 - -19).
27
Let q(a) = -a**3 + 17*a**2 + 17*a + 18. Suppose -5*m = 22 - 112. Let g be q(m). Suppose 3*u = -g*u + 99. Calculate the remainder when u is divided by 12.
9
Let v = -10327 - -10368. Suppose -5*u + 53 = 2*h - h, 3*h = -5*u + 49. What is the remainder when v is divided by u?
8
Let w(p) = p**3 + p**2 - 2*p + 1. Let t(u) = u**2 + 9*u - 20. Let n be 136/(-12) + (-2)/(-6). Calculate the remainder when t(n) is divided by w(1).
0
Calculate the remainder when -6 + 3 - -160 - (3 - -3) is divided by 52.
47
Let r(y) = 2*y + 10. Calculate the remainder when r(10) is divided by 1/(3/(48/1)).
14
Suppose 5*i + 26 - 81 = 0. Let n(f) = 2*f**2 - 7*f + 10. Let l = -59 - -62. Calculate the remainder when i is divided by n(l).
4
Suppose 10*l = -l + 1276. What is the remainder when l is divided by 32?
20
Suppose -3*u = -4*j - 69, -4*u + 49 = -3*j - 36. Let h = -274 - -166. Let i = -71 - h. Calculate the remainder when i is divided by u.
18
Let g = 28 + -19. 