 is divided by (-6)/n - (-175)/14?
2
Suppose 0 = 3*n + n - 216. Let m(k) = -k**3 - 33*k**2 + 482*k - 51. What is the remainder when n is divided by m(-44)?
17
Let v = -18 - -56. Let g be (6*10/18 + -3)*6. Suppose o = l - 4, g*l - 6*l - o = -36. Calculate the remainder when v is divided by l.
6
Suppose 0 = 908*a - 910*a + o + 913, 4*a - 1833 = o. Calculate the remainder when a is divided by 66.
64
Suppose 5*p + 15 + 5 = 0. Let u(t) = -t**3 - 7*t**2 - 11*t + 6. Let j be u(p). What is the remainder when (-4 + 3)/(j/(-22)) is divided by 11?
0
Let k(c) = -c**2 - 30*c - 23. Let r be k(-12). Let a = -190 + r. Calculate the remainder when a is divided by (4/(-8))/(1/(-4)).
1
Let k(f) = -12*f**2 + 5*f - 11. Let o be k(5). Let r = o + 375. What is the remainder when r is divided by 18?
17
Suppose 0 = 94*g - 3446 - 2664. Calculate the remainder when 90 is divided by g.
25
Suppose 0 = 874*t - 1082*t + 83408. Calculate the remainder when 762 is divided by t.
361
Suppose -3*h - 1025 = -3*v + 154, 5*h = -3*v + 1187. Let w = 439 - v. What is the remainder when 178 is divided by w?
43
Let x = 54 + -47. Let u(b) = -b**3 + 6*b**2 + 6*b + 5. Let a be u(x). Calculate the remainder when 16 is divided by 30/(-20) - 21/a.
7
Let l be -1 - -5*11/55. Let d(h) = h**3. Let b(t) = 3*t**3 + 2*t**2 + 2*t + 172. Let p(g) = b(g) - 2*d(g). What is the remainder when p(l) is divided by 29?
27
Suppose 5*l + 2471 + 3424 = 4*z, 5*l - 5905 = -4*z. Calculate the remainder when z is divided by 12.
11
Suppose 5*v - 25 = 5*y, 3*v - 18 = y + y. Suppose 3*d - 6 = 0, -3*z = 3*d - v*d - 224. What is the remainder when z is divided by 4/(-6)*-10*3?
18
Let w(l) = -4*l**2 - 101*l + 901. Calculate the remainder when 18128 is divided by w(-32).
35
Let r = 3872 + -3833. What is the remainder when 107 is divided by r?
29
Let x(k) = 29*k + 2507. What is the remainder when 3442 is divided by x(-86)?
10
Suppose -13*x = -10*x - 9. Suppose x*i = -t + 700, -5*t + 5*i = -0*t - 3520. Suppose t + 297 = 5*a. Calculate the remainder when a is divided by 51.
47
Let x(z) = -z**2 + 7*z + 9. Let p = -1134 - -1139. Suppose -4*b + 53 = b + d, 2*d - 51 = -p*b. Calculate the remainder when b is divided by x(7).
2
Let v(r) = -32*r**3 + r**2 - r. Let t be v(-1). Suppose t = 2*x + 6. Let u = 30 + x. What is the remainder when u is divided by 16?
12
Let k(j) = 64*j + 31. Suppose -29*x = -37*x + 8. Calculate the remainder when k(x) is divided by 29.
8
Let p(s) = 494*s - 5937. Calculate the remainder when 1027 is divided by p(13).
57
What is the remainder when 2879 is divided by 46 + -55 + (28 - -3)?
19
Suppose 144*s = 8821 + 13931. Calculate the remainder when 3631 is divided by s.
155
Suppose 8 = -v - 4*g + 145, -3*v - 5*g + 404 = 0. Calculate the remainder when v is divided by 70.
63
Let j(h) = h**3 + 9*h**2 + 5*h + 10. Let w be j(-8). Let x be (-2289)/(-51) + 4/w. Calculate the remainder when 33 is divided by 302/18 - (-10)/x.
16
Let x be 18/8 - 4/16. Suppose -5*k + 59 = -2*a, -3*k - x*a - 2*a = -51. What is the remainder when 51 + -47 - 5/((-10)/24) is divided by k?
3
Suppose -3*t = w - 8985, 5*t - 19915 = 4*w - 4906. Calculate the remainder when t is divided by 60.
57
Let o(b) = 56*b**2 + 26*b - 102. What is the remainder when o(10) is divided by 60?
58
Let c = 10 + -6. Suppose -5*i - 75 = -85. Suppose 4*h - i*l - 81 = 3*l, -5*h - c*l = -50. What is the remainder when h is divided by 8?
6
Let t = 46 - 18. What is the remainder when 406 is divided by t?
14
Suppose 1377 = -28*n + 55*n. Let v be ((-18)/(-12))/(2/(-36)). What is the remainder when n is divided by (-6)/v - (-124)/9?
9
Let q = 69 + -42. Let s(g) = -23*g**2 + g - 26*g**2 + 80*g**2 - 26*g**2 + g. What is the remainder when s(3) is divided by q?
24
Let o(q) = -4*q**2 - 157*q + 95. What is the remainder when o(-39) is divided by 62?
10
Suppose -14 = -t + 1. Suppose -149 = -30*o + 26*o - 5*f, 15 = -5*f. What is the remainder when o is divided by t?
11
Suppose 0 = -2*u - 10, -15 = -5*w - 3*u - 5. Suppose -3*r = 4*p - 113, 204 = w*p - 4*r + 24. Calculate the remainder when 70 is divided by p.
6
Let n = -13 - -32. Let c(m) = 5*m - 146. Let s be c(35). Suppose 32*r - 18 = s*r. Calculate the remainder when n is divided by r.
1
Suppose -3*q - 164*t + 167*t + 1890 = 0, -3204 = -5*q - 4*t. What is the remainder when q is divided by 62?
16
Let o = 165 - -201. Calculate the remainder when (-5 - -3)/((-12)/o) is divided by 13.
9
Suppose 0 = 5*b + 2*x - 79 - 120, b = -2*x + 43. Suppose -315 = -b*d + 32*d. Calculate the remainder when 176 is divided by d.
41
What is the remainder when (1*-687)/(60 + -61) is divided by 27?
12
Let x = -185 - -77. Let y = x + 169. What is the remainder when y is divided by 11?
6
Let f(b) = -b**3 - 2*b**2 + b**3 + b**3 - b + 5 - 3*b. Let v be (-2)/(2/15)*4/(-12). Calculate the remainder when f(v) is divided by 16.
12
Let f = -12911 + 12952. What is the remainder when f is divided by 28?
13
Suppose 3*r - 313 = -5*v + 285, 3*v - 361 = -4*r. Suppose -125*g = -v*g - 2070. What is the remainder when g is divided by 88?
81
Let q = 6260 - 5443. Calculate the remainder when q is divided by 7.
5
Let g(q) = -q**3 - 4*q**2 - 2*q + 7. Let t be g(-4). Suppose -5*o = -t, -5*d + 88 = 4*o - 3*o. What is the remainder when 25 is divided by d?
8
Let i = -12378 + 12456. What is the remainder when 233 is divided by i?
77
What is the remainder when (-15873)/(-759) - 21 - 17643/(-23) is divided by 24?
23
Let r be 183/(-3)*(-4 - (-9)/3). Let q = r - 59. Suppose -d = 3*f - 5, -2*d - 5 = -f + q*f. Calculate the remainder when 21 is divided by f.
0
Let s = 2009 + -1988. What is the remainder when 2238 is divided by s?
12
Suppose 33*c - 12188 = 517 + 11616. What is the remainder when 1482 is divided by c?
8
Let t = 142 - 90. Suppose 0*n = 4*r - 4*n - t, -r = n - 7. Let g(b) = b + 5. What is the remainder when 58 is divided by g(r)?
13
Calculate the remainder when (7 - -2311)/19 + (-1 - -6) + -15 is divided by (-2)/6*-3 + 39.
32
What is the remainder when 1321 is divided by (-100)/200 + 1/2*69?
29
Calculate the remainder when 382 is divided by (-84)/714 - (-548)/34.
14
Suppose 8*j - 5688 + 2928 = 0. What is the remainder when 748 is divided by j?
58
Let h be 10/15*6/(-2). Let j(i) = -3*i + 1. Calculate the remainder when 1 + (-7)/(-2)*8 is divided by j(h).
1
Suppose -2*t + 8*t = 714. Let y = -87 + t. What is the remainder when 157 is divided by y?
29
Let r(d) = -d**2 - 32*d - 136. Let v be r(-26). Suppose 13*n + 259 = v*n. What is the remainder when 170 is divided by n?
22
Let d(f) = 15*f - 102. Let w(n) = -4*n + 1. Let l(j) = d(j) - 3*w(j). Calculate the remainder when 10 is divided by l(4).
1
Let p(z) = -11 + 23 - 8*z + 2*z + 70*z**3 - 6 + 2*z. Calculate the remainder when p(2) is divided by 14.
12
Let n(a) = 57*a + 9. Let l be n(-7). Calculate the remainder when 11 is divided by (l/(-33) - 5) + 4/22.
4
Let g(k) = k**2 - 16*k + 364. Calculate the remainder when g(20) is divided by 65.
54
Let h(o) = o**3 + 23*o**2 + 21*o - 22. Let i be h(-22). Suppose i = -4*a + 5 + 7. Let z = 33 + a. Calculate the remainder when 141 is divided by z.
33
Suppose -z + 1055 = -5*m - 922, -z + 1959 = 4*m. What is the remainder when z is divided by 12?
11
Let w(a) = -931*a + 9453. What is the remainder when w(10) is divided by 84?
59
What is the remainder when 217 is divided by 12 + 12 + (-6)/2?
7
Suppose -904*a = -908*a + 46348. Calculate the remainder when a is divided by 67.
63
Suppose 5*i = 3*b - 854, 16*b - 5*i + 874 = 19*b. Let m = b + -267. Calculate the remainder when 165 is divided by m.
18
Let u = -42 + 39. Let v(b) = -11*b**2 + 13*b + 11. Let a(s) = -4*s**2 + 4*s + 4. Let o(d) = u*v(d) + 8*a(d). Calculate the remainder when o(-5) is divided by 9.
5
Let f = 6873 - 6743. Calculate the remainder when 8057 is divided by f.
127
Let j(u) = -u**3 - 12*u**2 + 9*u - 3. Let x = 6 - 26. Let v = x + 7. What is the remainder when j(v) is divided by 13?
10
Suppose -4*l - 253 - 332 = -13*l. Calculate the remainder when 1275 is divided by l.
40
Suppose 5*w = 0, 3*g - 6 = 2*w + 60. Let k(c) = -c - 3. Let o be k(-7). Suppose -3*d + 188 = o*b - 3*b, -12 = 3*b. What is the remainder when d is divided by g?
20
Let m = -58 + 135. Let g = 181 + m. Calculate the remainder when g is divided by 52.
50