 the remainder when c + 418/6 + 6/18 is divided by 8?
7
Let m(x) = 109*x + 264. What is the remainder when m(9) is divided by 40?
5
Let h(q) = -q**3 + 15*q**2 + 18*q - 3. Suppose -6*k + 72 = -24. Let r(c) = -c + 19. What is the remainder when h(k) is divided by r(9)?
9
Suppose i = 12*x - 7*x - 49, 5*x - 4*i - 61 = 0. What is the remainder when 638 is divided by x?
8
Suppose 320*m = -330*m + 661*m - 29898. Calculate the remainder when m is divided by 47.
39
Suppose -148 = 9*m - 46*m. Calculate the remainder when 54473/285 + m/(-30) is divided by 52.
35
Calculate the remainder when 1976 is divided by 332/14 + (-720)/1008.
21
Calculate the remainder when (2 + 659)/(2 + (1 - (8 + -6))) is divided by 98.
73
Suppose -19*d = -18*d - m + 49, 3*d + 131 = -m. Calculate the remainder when 68 is divided by (d/(-30))/((-3)/(-18)).
5
Suppose 0 = -5*b + g + 388, 0*g - 2*g = 5*b - 379. Let o be 1295/b + 6/33. What is the remainder when 77 is divided by 342/o - (-6)/(-51)?
17
Suppose -34*z = -24*z + 2610. Let q = -252 - z. Calculate the remainder when 98 is divided by q.
8
Let i = -241 + 205. What is the remainder when 38 is divided by (138/(-4))/(i/24)?
15
What is the remainder when -2*(-254)/(-4)*1538/(-1538) is divided by 8?
7
Suppose -2*b + b = -24. Let z = -458 - -451. What is the remainder when 95 - ((-165)/(-105) - 3/z) is divided by b?
21
Suppose 4*q - 84 = 5*y, -242*y + 246*y = -3*q + 63. What is the remainder when 3670 is divided by q?
16
Suppose 5*a - a + 1872 = 0. Let k = -253 - a. Calculate the remainder when k is divided by 27.
26
Suppose 74*d + 657 + 272 = 5073. What is the remainder when 891 is divided by d?
51
Let w(d) = -2*d - 6*d**3 + 22 + 4*d**3 - 31. Let h = 83 - 57. Calculate the remainder when w(-3) is divided by h.
25
Suppose 333*h = q + 328*h - 81, -3*q + 4*h = -210. Calculate the remainder when 92 is divided by q.
26
Let n(u) = 110*u + 7. What is the remainder when n(3) is divided by 234?
103
Let v(b) be the first derivative of 1/4*b**4 + 10*b - 9*b**2 - 12 - 8/3*b**3. Calculate the remainder when v(10) is divided by 8.
6
Let k = -45 + 53. Suppose 4*v = -2*x + 200, -2 + k = -3*x. Suppose 4*m = -15 + v. Calculate the remainder when 70 is divided by m.
7
Suppose -5*v + 250 + 1070 = 0. Let x = -6323 + 6342. What is the remainder when v is divided by x?
17
Let j(b) = 3*b + 8. Let k be j(6). Suppose 20 = -3*x + 5*c, 0*x - k = 2*x + 3*c. Calculate the remainder when 9 is divided by ((-3)/15 - 32/x) + -1.
1
Let d(c) = c**2 - 31*c + 11. Let s be d(18). Let v = s - -338. Calculate the remainder when v is divided by 29.
28
Let r(v) = 57*v**3 - 4*v**2 + 10*v + 1. What is the remainder when r(2) is divided by 25?
11
Let l be 0 + (3 - 1) - (-2 - -8). Let s(y) = -y**3 - 6*y**2 - 11*y - 3. Calculate the remainder when s(l) is divided by 8.
1
Let s(l) = -2*l**2 + 28*l + 843. Calculate the remainder when 722 is divided by s(28).
14
Calculate the remainder when 285 is divided by 18/(30/44 + (-6)/33).
33
Let p = 52165 - 52033. Calculate the remainder when p is divided by (-5)/(-1 + (-16)/(-18)).
42
Suppose 11*c = 7546 + 10398 + 9985. Calculate the remainder when c is divided by 843.
10
Suppose -16 = 4*f - 68. Suppose 2*p + z - 5 = 0, -3 = -0*z + z. What is the remainder when f is divided by p?
1
Let u(h) = 2*h**2 + 81*h - 587. Calculate the remainder when u(9) is divided by 36.
16
What is the remainder when 1529 + 2 + 432/(-18) is divided by 68?
11
Let o = 2 + 2. Suppose g - 143 = -3*q, -84 = -4*q + o*g + 80. What is the remainder when q is divided by (-5 + 115)/(-22) + (-1)/(-1)*17?
10
What is the remainder when 37616/40 - -9 - (51/15 - 3) is divided by 95?
94
Let s(d) = -2*d + 5*d + 2*d - 2 - 5. Suppose -5 = -4*k + 7, -5*k = -5*h + 240. What is the remainder when h is divided by s(5)?
15
Let u = 11196 + -10730. Calculate the remainder when u is divided by 93.
1
Let o = -401 + 440. Suppose -61 = -10*v + o. Calculate the remainder when 35 is divided by v.
5
What is the remainder when 43 is divided by 780/(-325)*(-2 + (-1 - 2))?
7
Suppose 0 = -3*t - 2*r + 4776, -3188 = -2*t - 66*r + 64*r. Calculate the remainder when t is divided by 55.
48
Suppose 298*i = 296*i + 7638. Calculate the remainder when i is divided by 26.
23
Suppose 2*q - 816 = 4*m, -4*q - 7*m = -12*m - 1623. Suppose 0 = -13*a + 300 + q. Calculate the remainder when a is divided by 11.
10
Let o be 6/(-54) + 100984/36. Suppose o = 23*b + 10*b. What is the remainder when 181 is divided by b?
11
Let o = -8117 - -9071. What is the remainder when o is divided by 249?
207
Let y = -22714 + 23899. Calculate the remainder when y is divided by 253.
173
Suppose 2*p + 92 = 3*p. Let k(a) = 2*a**2 - 12*a + 19. Let z = -97 - -103. Calculate the remainder when p is divided by k(z).
16
Suppose 10*a - 1288 - 892 = 0. Let g = a - 206. What is the remainder when 30 is divided by g?
6
Let y = 40 - 28. Suppose -2*i + 62 = -4*o, 3*o - i - 17 = 4*o. Let g(s) = s**2 + 11*s - 72. What is the remainder when y is divided by g(o)?
4
Let u(a) = 2*a**3 - 27*a**2 + 111*a - 13. What is the remainder when 826 is divided by u(8)?
142
Let h(u) = -u**2 - 8*u + 44. Let c = 347 + -356. What is the remainder when h(c) is divided by 4?
3
Let r(t) = t**2 + 6*t - 16. Calculate the remainder when r(-12) is divided by 21 + -5 + 8 + 8.
24
Let n(k) = -29*k + 9. Let g(q) = -19*q + 6. Let b(a) = -8*g(a) + 5*n(a). What is the remainder when 483 is divided by b(3)?
15
Let a(z) = -z**3 - 2*z**2 + z + 130. Let i be a(0). Suppose 3*x - 2*o = 113 + 66, i = 2*x + 4*o. What is the remainder when x is divided by 8?
5
Let o = 76 + -74. Suppose -3*p + p + 2 = o*k, -12 = 3*k. Suppose p*n = 244 + 96. What is the remainder when n is divided by 19?
11
Let n(a) = 2*a**2 - 22*a + 33. What is the remainder when n(13) is divided by (-2)/(-6)*6/15*360?
37
Let j be 56/(-9) - (-8)/36. Suppose 0 = -5*b - 5*k + 15, 0 = -4*b - b + 5*k - 15. Calculate the remainder when 23 is divided by (-3)/j*b + -1 + 19.
5
Let w(f) = f + 39. Suppose 14*m + 555 = -m. Let q = -55 - m. Calculate the remainder when 35 is divided by w(q).
14
Suppose -335*x + 2640697 = -23*x - 579767. What is the remainder when x is divided by 116?
114
Let r = 2005 - 1745. What is the remainder when r is divided by 69?
53
Suppose 4*y = -5*q - 5, -3*q = y + q + 4. Suppose y*r = -2*r. Suppose r = 3*l + 2*l - 20. What is the remainder when 17 is divided by l?
1
Let u(x) = 2*x**2 - 427*x + 5826. What is the remainder when u(14) is divided by 38?
12
Let q be (-12)/(-10)*160/(-24). Let j(u) = u**2 + 15*u + 38. Let h be j(-9). What is the remainder when 25 is divided by 2/q - 244/h?
10
Suppose 7*i - 11*i - 2*r = -4, -15 = 3*i - 3*r. Let w(k) = 38*k + 62. What is the remainder when w(i) is divided by 14?
10
Let f = 33772 - 30113. Calculate the remainder when f is divided by 78.
71
Let i = 14724 + -13995. What is the remainder when i is divided by 74?
63
Let j(t) = t**2 - 6*t - 1. Suppose -31*z + 30*z + 76 = 0. What is the remainder when z is divided by j(7)?
4
Let v = -90640 + 90644. Calculate the remainder when 0 + (15 - (-1 + 2)) is divided by v.
2
Suppose 0 = 3*m - 5*t - 32, 0 = 4*m - 0*t - t - 20. Suppose 0 = -1042*a + 1040*a + 584. Let k = 304 - a. Calculate the remainder when k is divided by m.
0
Let f(m) = 2*m - 5. Let x be (-4 + 2)/((-17)/238). What is the remainder when (x/42)/(4/54) - 1 is divided by f(4)?
2
Let t(h) = 6*h**2 + 51*h + 132. What is the remainder when t(-27) is divided by 10?
9
Suppose o + 7*t = 2*t + 319, -1276 = -4*o + 2*t. Let d = -298 + o. Calculate the remainder when 86 is divided by d.
2
Suppose 0 = -4*r + 4, 18 = 3*g + 2*r - 5. Calculate the remainder when 197/6 - (-3)/18 is divided by g.
5
Let c = 90 - 79. Suppose -c*l = -400 - 414. Let q = l - 63. What is the remainder when 31 is divided by q?
9
Suppose -5*z - 18 + 33 = 0, 50 = v - 4*z. What is the remainder when v is divided by (((-8)/3)/(-4))/((-16)/(-120))?
2
What is the remainder when 200 is divided by -9*1/(-24) - (-4 - (-1565)/(-8))?
0
Let q(o) be the third derivative of o**6/120 + o**5/60 - 2*o**4/3 - 11*o**3/6 + 99*o**2. What is the remainder when 292 is divided by q(5)?
56
Let t be (-2)/(-2) + (-6 - 10 - -20). Suppose -4*k = -4*u - 1608, 0*u + t*u - 1238 = -3*k. What is the remainder when k is divided by 10?
6
Sup