((-374)/51)/(4/j) is divided by 12.
11
Let a(f) = -3*f + 17. Let r be a(7). Let x(j) be the second derivative of -8*j**3/3 - 21*j**2/2 - 4*j. What is the remainder when x(r) is divided by 23?
20
Suppose -a + 24 + 7 = 0. Suppose 2*v - a = 25. Calculate the remainder when (48 - 375)/((-6)/2) is divided by v.
25
Suppose r - 68 = -2*q, -r = 3*q - 6*r - 115. Suppose 21*v + 169554 = 169638. What is the remainder when q is divided by v?
3
Let j = 1835 - 1774. Calculate the remainder when 851 is divided by j.
58
Let x = 4135 + -4054. What is the remainder when x is divided by 9?
0
Suppose 4*q = 5*i - 388, -8 = -5*q - 18. What is the remainder when 1058 is divided by i?
70
Let c be 5 - ((-1)/(-3))/(2/18). Suppose -4*x + 52 = 3*z + c*z, 0 = -z + 4. Suppose 9*i = -0*i + 837. Calculate the remainder when i is divided by x.
5
Suppose -47*q = 2*q - 1089 - 1704. Calculate the remainder when 4160 is divided by q.
56
Let i = 301 - -17. Let m(a) = -5*a + 104. What is the remainder when i is divided by m(15)?
28
What is the remainder when -2*(-26205)/30 + (6 - -1) is divided by 287?
32
Suppose f = 5*f - 20. Let w = 58 - 54. Suppose 0 = 3*b + 5*j - 77, 0*b - w*b + 96 = 5*j. What is the remainder when b is divided by f?
4
Suppose -194*c + 383*c - 191*c = -706. What is the remainder when c is divided by 82?
25
Suppose -5*j = 2*j - 28. Let y(k) = 11*k - 33. What is the remainder when 230 is divided by y(j)?
10
Let p be (-75)/20 - (7/(-4) + 2). What is the remainder when (4 + p)/(-7) - -354 is divided by 21?
18
Suppose -18527 = -121*i - 86*i - 1139. What is the remainder when 5962 is divided by i?
82
Let y(w) = 3*w**2 - 14*w + 15. Let z be y(5). Let r(a) = -18*a - z*a + 37*a - 4. Calculate the remainder when 9 is divided by r(-8).
1
Let x(p) = p**3 - p**2. Let i be x(-2). Let l = -427 + 241. What is the remainder when ((-4)/i)/((-2)/l) is divided by 8?
7
Suppose -9*f = -4*f - 10. Suppose 5*s = -3*z + 2*z + 203, -f*s = 3*z - 76. Calculate the remainder when 76 is divided by s.
35
Calculate the remainder when (-3732)/66*11/(-2) is divided by 109.
93
Let g = -5370 - -5389. What is the remainder when 2735 is divided by g?
18
Suppose -32 = -3*j - 2*v - 2*v, 0 = 4*j - 5*v - 22. Let q = 7 + j. What is the remainder when 114 is divided by q?
9
Let f(r) = r**2 - 81*r + 1440. Calculate the remainder when 385 is divided by f(55).
5
Suppose -7 + 3 = -2*b, 0 = 5*f - 4*b - 32. Suppose 4*u = -4*s + 72, -3*s - 18 = -u - 6*s. What is the remainder when u is divided by f?
2
Let v = 52038 + -52024. Suppose m = 3*m - 222. Calculate the remainder when m is divided by v.
13
Let c = -107 - -83. Let h = 47 + c. Calculate the remainder when 86 is divided by h.
17
Let s(o) = o**3 + 41*o**2 - o - 39. Calculate the remainder when 34 is divided by s(-41).
0
Let b = 404 - 376. What is the remainder when (-2)/(-6) + (-1666)/(-6) is divided by b?
26
Let y = -7043 + 7167. Calculate the remainder when 1115 is divided by y.
123
Let v = 3097771 - 3097738. Let a(n) be the second derivative of n**4/4 + n**3/3 + n**2/2 - n. Calculate the remainder when a(-6) is divided by v.
31
Suppose 0 = 45*x + 2*q - 34994, -5*x + 3*q = -937 - 2977. Calculate the remainder when x is divided by 89.
66
Suppose 10*n - 5*n = 15. Suppose n*m - 4*a = 59, 38*m - 2*a - 92 = 34*m. Calculate the remainder when m is divided by 15.
10
Suppose -41*v - 307*v + 17748 = 0. Calculate the remainder when 176 is divided by v.
23
Calculate the remainder when 504 is divided by ((-2086)/(-6))/(35/30).
206
Suppose -5*i = i - 36. Let h be 10/15*-6 - 4. Let o(t) = -t**3 - 9*t**2 - 11*t + 1. Calculate the remainder when o(h) is divided by i.
1
Let x(c) = -c**2 - 61*c + 1633. Suppose -5*w + 3*v - 2*v + 49 = 0, 2*w + v = 14. What is the remainder when x(-81) is divided by w?
4
Suppose y - 2*w + 16 = -6*w, -5*w = -y + 29. Suppose 2*x - 41 = 5*i, 0*x + 2*x - 42 = y*i. Calculate the remainder when x is divided by 19.
4
Suppose 0 = -4*w + 297 - 89. Let z = 2343 + -2033. Calculate the remainder when z is divided by w.
50
Let v(p) = -2*p**2 + 26*p - 13. Let j be v(11). Suppose -j*i + 14*i + 306 = 0. What is the remainder when 27 is divided by i?
9
Let g be (-2)/(-2 - 3/(-2)). Let u = 9 - g. Let q(o) = -2*o**2 - 77*o - 36. Calculate the remainder when u is divided by q(-38).
1
Let l(u) = 285*u**2 + 2270*u + 17. What is the remainder when 1020 is divided by l(-8)?
50
Let c = -288 - -291. Suppose c*x + 9 = q - x, -4*x = 3*q - 43. Suppose -3*z = 5*y - 271, z + 4*y - 95 = -0*y. Calculate the remainder when z is divided by q.
9
Let g(d) = d**2 - 18*d + 2. Let b be g(8). Let l = b + 87. Suppose -5*q + 9 = -6. What is the remainder when l is divided by q?
0
Suppose 204 = 4*p + n, 3*p + 92*n = 88*n + 166. What is the remainder when p is divided by 3/(-1 - 6/(-4))?
2
Let t = -590 - -594. Suppose -57*s = -55*s - 10, t*b - 113 = -s. What is the remainder when 107 is divided by b?
26
Suppose h - 19 = 2*o, 24*o + 60 = 5*h + 19*o. What is the remainder when 794/14 - 2/(-7) is divided by h?
2
Suppose -110*i + 2352099 = 254*i + 192851. What is the remainder when i is divided by 23?
21
Let j = -13168 - -13189. Calculate the remainder when 5081 is divided by j.
20
What is the remainder when (-503340)/(-540) + -1*1/(-9)*-1 is divided by 131?
15
Suppose 28*w - 5301 = 1931 + 3576. What is the remainder when w is divided by 188?
10
Let a = -17 - -28. Suppose -8*b = -11*b + 4*q - 139, 2*b - q + 101 = 0. Let k(c) = -c**3 - 53*c**2 - c - 43. What is the remainder when a is divided by k(b)?
1
Suppose 11*n - 191 = 95. What is the remainder when 438 is divided by n?
22
What is the remainder when (-1 - 621)*(-15)/30 is divided by 107?
97
Suppose -3*t + 5*n = 3*n - 331, -n + 230 = 2*t. Let b = t + -52. Calculate the remainder when b is divided by 7.
5
What is the remainder when 680 is divided by (-1701)/(-10) + (-5)/500*10?
0
Let i = -640 + 56. Let c = i - -609. What is the remainder when 124 is divided by c?
24
Suppose 42*t - 33*t = 35*t - 1768. Let f(m) = -m**3 - 10*m**2 + 8. Let v be f(-10). Suppose -6 = -g + v. Calculate the remainder when t is divided by g.
12
Let s be -11 + 2 + 4 + 8. Suppose r - 23 = -t, 4*r + 30 = s*t - 74. What is the remainder when 38 is divided by t?
10
Suppose 2*l + 7 = 1. Let m(s) = -2*s**3 + 4*s**2 + 16*s - 1. Let k be m(4). Calculate the remainder when 32 is divided by ((-14)/(-6))/(k/l).
4
Let o = 61 + -102. Let z = o - -39. What is the remainder when z*(1 + 1) - -35 is divided by 12?
7
Suppose 0*m - 156 = -2*m. What is the remainder when m is divided by 16/(-72) + (-12)/(-297) + (-288)/(-11)?
0
Let p = -13 - -17. Let v be (3 + 14)/(-2 + 10/p). Suppose q = -0*m - m + v, -3*m = -2*q + 43. Calculate the remainder when q is divided by 10.
9
Let d = -12065 + 18089. Calculate the remainder when d is divided by 45.
39
Suppose -814 = 9*g - 832. Suppose -31*u + 27*u - 2*c + 82 = 0, 0 = -u + g*c + 8. Calculate the remainder when 65 is divided by u.
11
Suppose 10 = -5*i, -88*c + 2*i = -93*c + 76. Suppose -2*v + 93 = -v. What is the remainder when v is divided by c?
13
Let g(q) = -25*q + 47. Let c(x) = -12*x + 23. Let i(w) = -5*c(w) + 3*g(w). What is the remainder when i(-10) is divided by 59?
58
Suppose -5*o + 201 = 5*u - 3194, -3*u + o = -2029. Calculate the remainder when u is divided by 648.
29
Let u be 153/(-21) + 6/21. Let f(a) = 2*a**3 + 16*a**2 + 6*a - 4. What is the remainder when f(u) is divided by 14?
10
What is the remainder when 90 + 5/5 - -4 is divided by 27/(-9)*(-1)/(-9)*-144?
47
What is the remainder when 121 is divided by 7/(2 - 279/171)?
7
Let d(q) = q**2 - 14*q - 11. What is the remainder when -3*(-109)/6 + (-4)/8 is divided by d(15)?
2
Let k(c) = -14*c**3 + c**2 + c - 1. Let q = -28606 + 28663. What is the remainder when k(-2) is divided by q?
56
Suppose 2*t - 56 = 24. Suppose -4*m - 6*s + 614 = 0, 71*m = 67*m - 3*s + 581. What is the remainder when m is divided by t?
17
Let o(l) = 35*l - 1031. Calculate the remainder when 735 is divided by o(30).
13
Suppose 0 = -2*g + 5*k + 250, -3*k = 4*g + g - 625. Let x = -220 - -149. Let t = g + x. Calculate the remainder when t is divided by 19.
16
Let w be 305/4 + (-16)/64. Let c = -18 + w. Suppose 5*s - c = -38. Calculate the remainder when 6 is divided by s.
2
Suppose j = -4, 162 = 15*o - 13*o -