6. What is the remainder when x is divided by n?
3
Let v = 112 - 112. Suppose 0 = 4*f + 3*x - 105, -3*f - 3*x - x + 77 = v. Suppose 4*r = 2*j - 18, 4*j - 3 = r + 19. What is the remainder when f is divided by j?
2
Let p = -29744 + 29780. What is the remainder when 291 is divided by p?
3
Let j(d) = 13 - 24*d - 81 - d - 11*d**2 + d**3 - 16*d**2. Calculate the remainder when 126 is divided by j(28).
14
Let f = -2020 - -2052. Calculate the remainder when 147 is divided by f.
19
Let g = -2287 - -2484. Calculate the remainder when g is divided by 22.
21
Suppose 0 = -363*g + 353*g + 830. What is the remainder when 298 is divided by g?
49
Suppose 26 = -z - 1920. What is the remainder when (220/385)/((-4)/z) is divided by 47?
43
Let z = 596 + -533. Suppose -2*d + 10 + 0 = 0. Suppose 0 = 2*w + 4*a - 3*a - 45, -27 = -w - d*a. What is the remainder when z is divided by w?
19
Suppose 368 = 11*u - 63 - 460. What is the remainder when 400 is divided by u?
76
Let k be (((-8)/6)/(8/(-54)))/3. Suppose 2*o - 200 = -4*i, 4*o - 417 = -k*i - 37. What is the remainder when 173 is divided by o?
81
Let z(p) = -p**3 + 11*p**2 - 7*p - 7. Suppose -d + 5*s + 203 = 210, 4*d = -4*s + 164. Calculate the remainder when z(6) is divided by d.
32
Let z(h) = 33*h - 354. Let r be z(16). Let b = r - -210. What is the remainder when b is divided by 35?
34
Let v = 9474 - 9468. What is the remainder when 1466 is divided by v?
2
Let b be 20/10 + (-1 - -6). Suppose 3*w - 3 = 2*k + 4, k + b = 5*w. What is the remainder when w is divided by 1?
0
What is the remainder when -7*(-4 - 9) - 3 is divided by (-24)/(-5 + -3)*(-26)/(-6)?
10
Let w(g) = 19*g**3 + g - 1. Let a(f) = -2*f**3 + 9*f**2 - 12*f + 17. Let i be a(5). Let d = -60 - i. Calculate the remainder when w(1) is divided by d.
3
Suppose 0 = -199*c + 49891 - 16061. What is the remainder when 532 is divided by c?
22
Suppose 8*n = 12*n - 2088. Let q = n - 515. Calculate the remainder when 18 is divided by q.
4
What is the remainder when ((-12)/42)/((-6)/26376) is divided by 35?
31
Let q be (-3)/9*(-60)/25*590. Suppose -22 = -19*i + q. Calculate the remainder when i is divided by 7.
5
Let f = -4875 + 4904. What is the remainder when 69 is divided by f?
11
Suppose -5*y - 3*l = -5*l + 190, -170 = 4*y + 2*l. Calculate the remainder when y/(-35) - 2096/(-28) is divided by 26.
24
Let z = -5445 - -6271. Calculate the remainder when z is divided by 144.
106
Suppose -3*h + s = -1641 + 1247, 4*h - 530 = -s. What is the remainder when h is divided by 3 + 8*3/2?
12
Let d = -32 - -45. Suppose 0 = 2*l + 2*l + 2*a - 598, -446 = -3*l - a. Suppose l = 7*f - 0*f. Calculate the remainder when f is divided by d.
8
Suppose -7*d + 3*d = -32. What is the remainder when (1006/5030)/((-2)/(-260)) is divided by d?
2
Suppose 113*r - 456 = 101*r. What is the remainder when -4 + 1 + 0 - -225 is divided by r?
32
Let l(n) = 2*n + 9. Let z be l(5). Let u = -34 + z. Let x = u - -42. Calculate the remainder when 104 is divided by x.
23
Suppose -2*x = 4*s - 6, -s + 87 = 2*x + 66. Calculate the remainder when 1676 is divided by x.
12
Suppose 5*f = -2*g + 27, -g + f - 9 = -f. Let q = 546 + -514. What is the remainder when q is divided by (-7)/(g*(-2 - -1))?
4
Let a = 2819 + -1325. Suppose -24*y + a = -6*y. Calculate the remainder when y is divided by 26.
5
Suppose -1227 = 4*c + 3*b - 0*b, 2*c - 3*b + 591 = 0. Let k = c + 320. What is the remainder when 101 is divided by k?
16
Suppose 2*j = 2*g - 14 + 44, -96 = -4*j - 5*g. Calculate the remainder when 1575 is divided by j.
17
Let a(p) = 337*p - 263. Calculate the remainder when 171 is divided by a(1).
23
Suppose -4*p + 3*n + 1940 = 0, -48 = 4*p - 4*n - 1988. Calculate the remainder when p is divided by 41.
34
Let i = -21 + 29. Let o = 11 - i. Let p(g) = g**3 - 9*g**2 + 3*g + 41. Calculate the remainder when o is divided by p(8).
0
Let w(a) = 3*a**3 + 59*a**2 + 26*a - 115. What is the remainder when w(-19) is divided by 34?
11
Let r be 1/2*-7*-2. Suppose 0 = 272*t - 10985 + 2009. What is the remainder when t is divided by (-2 - 4/r)*-7?
15
Suppose 3*z - 2*p = 206, -2*p - 77 = -z - 7. Let k = 229 - 217. Calculate the remainder when z is divided by k.
8
What is the remainder when 14/14 + 2370/6 is divided by 66?
0
Suppose 0 = -5*b + 51*f - 46*f + 120, 2*b - 4*f - 40 = 0. What is the remainder when 991 is divided by b?
11
Let q(l) = 7*l**2 - 3*l - 9. Let m(r) = -r**3 - 7*r + 16. Let u be m(0). Suppose -u*w = 5*w - 924. What is the remainder when q(-6) is divided by w?
41
Let h = 37 - 32. Suppose -3*r = -h*v - 6, 8 = -r + 3*v + 2*v. Suppose -t + d = -25, -4*t + 2*d - 80 = -r*t. What is the remainder when t is divided by 8?
2
Suppose -8*n + 10*n - 298 = 0. Let a = -169 + n. Calculate the remainder when 63 is divided by 1*(1 + a)*-1 + -2.
12
Let v(a) = a + 51. Calculate the remainder when 318 is divided by v(-34).
12
Suppose 5*k - 758 = -5*u + 9*k, -3*k = 3*u - 444. Calculate the remainder when (48/9)/(20/u) is divided by 17.
6
Suppose -26511*t = -26512*t + 19. Calculate the remainder when 1329 is divided by t.
18
Let a = -131 + 442. Suppose -8*o = a + 41. Let s = o - -49. What is the remainder when s is divided by 1?
0
Let h = 1516 - 1249. What is the remainder when h is divided by 89?
0
Let z = 94 + 60. Let y = 134 - z. Calculate the remainder when 39 is divided by 76/10 - 8/y.
7
Let b = -1671 - -1904. What is the remainder when b is divided by 35?
23
Suppose 5*g = -2*y + 2575, -361 - 154 = -g + 9*y. Calculate the remainder when g is divided by 56.
11
Let w(y) = 9*y - 26. Let f be w(3). Let t = -3 + 27. Calculate the remainder when 1*(-2)/f + 96 + -1 is divided by t.
21
Let l(m) = 2*m + 8. Let u(k) = 9*k + 39. Let g(r) = -24*l(r) + 5*u(r). Calculate the remainder when 81 is divided by g(-6).
18
Suppose 0 = 5*g + 5*q + 5, -3*q = g - 7*q + 6. Calculate the remainder when (-1)/(g - 66/(-34)) is divided by 11.
6
Suppose 24*m = 27*m - 2*t + 1904, 3*t = 12. Let h = 719 + m. Calculate the remainder when 253 is divided by h.
79
Let b = 7310 - 7296. Suppose 0 = -v + 44 + 23. What is the remainder when v is divided by b?
11
Suppose -d - 5 = -2*d. Let u(c) = -2*c**2 + 106*c - 1180. Calculate the remainder when (-16)/10*(-5 - d) is divided by u(37).
0
Let l(z) = 25*z - 17. Let n be l(-16). What is the remainder when 2/8 + (-5)/(60/n) is divided by (-3)/2*-10 - -3?
17
Let d = 375 - 360. Suppose 0 = v + 4*q - 11, -17*q = -2*v - d*q + 2. Let k = 1 + 11. Calculate the remainder when k is divided by v.
0
Suppose -5*y - 13*n + 75 = -8*n, 3 = y + 7*n. What is the remainder when 407 is divided by y?
16
Let f(t) = 3*t**2 - 4*t - 27. Suppose -4*z + 24 = -0*z. Let n be f(z). Suppose o = h - 17, 3*h - 6*o - n = -o. What is the remainder when h is divided by 6?
2
Suppose -11*q + 1389*j = 1390*j - 5036, 912 = 2*q + 2*j. What is the remainder when q is divided by 56?
10
Suppose -6*v - 117 + 441 = 0. Let w(d) = -d**2 + 2*d - 6. Let o be w(3). Let g = 19 - o. Calculate the remainder when v is divided by g.
26
Let n(q) = -151*q**3 + 2*q**2 + 4*q + 1. Calculate the remainder when n(-1) is divided by 54.
42
Suppose -3*l = 5*h + 23 - 131, 5*h = 5*l + 100. Suppose -2 = 2*x, 7*b - 2*b + 4*x + 839 = 0. Let m = b + 239. Calculate the remainder when m is divided by h.
9
Let r(i) = -2*i - 12. Let j be (-24)/(-60) + (-4)/10. Suppose j = -9*a + 11*a + 24. What is the remainder when r(a) is divided by 7?
5
Calculate the remainder when 3901 is divided by -3 + 0 + (-1211)/3*(-807)/1883.
161
Suppose 86*q + 525 = 4*r + 81*q, 3*q = -4*r + 549. Calculate the remainder when 692 is divided by r.
17
Let z be 5/((-5)/(-2)) + 51. Let p = 22 + z. Suppose 2*c = 23 + p. What is the remainder when 144 is divided by c?
46
Suppose 2*c = -k - 16 + 67, 0 = -c + 6. Calculate the remainder when 282 is divided by k.
9
Let j(y) = y**3 + 39*y**2 - 7*y - 169. Calculate the remainder when 106 is divided by j(-39).
2
Let z = 29 + 14. Let p = 219 - 214. Suppose 2*s - 850 = -3*s - p*j, j = 4*s - 670. What is the remainder when s is divided by z?
39
Let y = -82 + 82. Suppose y = 5*u - 5*c - 85, -3*u + 83 = c + 4*c. Suppose 38 = n - 1. Calculate the remainder when n is divided by u.
18
Suppose 3*f - 9368 = 3*g - 947, 5*g = -2*f + 5593. Calculate the remainder when f is divided by 466.
8
Let y(s) 