remainder when (-2)/p*860/(-4 + 9) is divided by z.
13
Suppose -11*v - 837 = -8*v. Let z = -264 - v. Calculate the remainder when 54 is divided by z.
9
Suppose 529 = k + 3*l, -7*l + 2*l + 1607 = 3*k. Let g = -416 + k. Calculate the remainder when g is divided by 15.
8
Let b(d) = -24*d + 2168. Calculate the remainder when 301 is divided by b(80).
53
Let n(z) = -32*z + 878. Calculate the remainder when n(15) is divided by 27.
20
Let g = -183 - -143. Calculate the remainder when 121 is divided by (-207)/(-5) - 24/g.
37
Suppose 0 = -74*d + 31935 + 471191. What is the remainder when d is divided by 170?
169
Suppose -37271 = -627*i + 32953. Suppose -42 = -m + 2*g, -g - 110 = -3*m + g. Calculate the remainder when i is divided by m.
10
Let g(w) = -388*w - 5713. Calculate the remainder when g(-17) is divided by 872.
11
Let f(c) = -114*c + 18. Let l be f(-1). What is the remainder when 7 + l/3 + 3 is divided by ((-1 - 2) + 2)*-19?
16
Suppose 0 = 4*d - 5*t + 217, -209 = -19*d + 23*d + 3*t. Let p = 55 + d. Calculate the remainder when (-3)/((4/(-6))/2) is divided by p.
1
Let v = 1442 - 1293. Calculate the remainder when v is divided by 39.
32
Let h be (-2)/(-6) + (-1)/(-6)*4. Suppose -2*j = h + 5, 0 = -5*u + 5*j + 25. Suppose -u*c = -4*c + 418. What is the remainder when c is divided by 21?
20
Let d = 95 - 91. Let i be 4*18/(-24) + 2*d. Suppose 0 = -8*s + i*s + 75. What is the remainder when 124 is divided by s?
24
Suppose 0 = 7*p - 4*p. Suppose 4*y - 4*z + 84 - 720 = p, 3*y - 453 = -3*z. Calculate the remainder when y is divided by 5/((-20)/(-8)) + 11.
12
Let p(i) = 3*i**2 + 2*i**2 + 11 + 3*i**2 - 9*i - i**3 + 2*i**2. Let t(w) = 11*w**2 + w - 10. What is the remainder when t(-3) is divided by p(9)?
9
Suppose -74*k = -47*k - 6858. Let a = -39 + k. What is the remainder when a is divided by 8?
7
Let i(a) = 3*a**3 - 51*a**2 - 47*a - 60. Calculate the remainder when 355 is divided by i(18).
25
Let g = 71 + -47. Let u = 8379 + -8314. What is the remainder when u is divided by g?
17
Suppose -4*j = -4*d - 44, -5*j - 13 + 86 = d. Calculate the remainder when 321 is divided by j.
13
Let m(i) = -8 - 4*i**2 + 8*i - 9 + 7 - 3. Let h be m(4). Let c = h + 89. What is the remainder when 129 is divided by c?
41
Suppose -5*u - 75 = -10*u. Suppose 703*s - 707*s - 9*z = -366, s = -3*z + 93. What is the remainder when s is divided by u?
12
Let g(w) = 2*w**3 - 2*w**2 - 2*w - 59. Let y be g(0). Let z = 137 - y. What is the remainder when z is divided by 50?
46
Calculate the remainder when 132 is divided by ((0 - -8) + -6)*45.
42
Suppose -3821*m = -3759*m - 461342. What is the remainder when m is divided by 17?
12
Let v(a) = -10*a**3 + 132*a**2 - 23*a - 37. What is the remainder when 11 is divided by v(13)?
1
Calculate the remainder when (-10*(-28)/175)/((-2)/((-30)/3)) is divided by (-1)/((-3)/(-2) + -2).
0
Let u(l) = 2*l**3 + 2*l**2 - 24*l + 26. Let b(h) = 11*h + 2. What is the remainder when b(2) is divided by u(2)?
0
Suppose 3*v - 42*r + 45*r - 15 = 0, 9 = 2*v + r. Suppose 0 = 2*a - 132 - v. Let k(z) = -14*z**3 - z**2 - z. What is the remainder when a is divided by k(-1)?
12
Let s = 16 - 16. Suppose 0*c - 152 = 4*j - c, 2*j - 5*c + 94 = s. Let q = j - -52. Calculate the remainder when 25 is divided by q.
10
Suppose 0*g + 12 = 2*g. Suppose -6*t - 44 = 10. What is the remainder when -6 - (-9 - -4) - (t - 3) is divided by g?
5
Let v(t) = 3*t**3 - 7*t**2 - 11*t - 2. Let d be v(-2). What is the remainder when 105 is divided by 80/d*3/(15/(-32))?
9
Suppose 44*k - 37*k - 49 = 0. Suppose 4*t - 3*b - 232 = 0, -4*t - 2*b + 232 = -k*b. What is the remainder when 185 is divided by t?
11
Let o be (-6 + 4)*(-2 + 0 + 0). Let s(i) = 3*i + 74. Calculate the remainder when s(o) is divided by 46.
40
Suppose 6*n = 3*n - 2*w + 11, -2*w + 1 = n. Suppose 3*r - 5*z - 11 - 9 = 0, 0 = -r - 4*z + 18. What is the remainder when r is divided by 0 - 4*n/(-5)?
2
Let k(g) = g**3 + 3*g**2 - 23*g + 87. What is the remainder when k(6) is divided by 27?
3
Suppose -4*n = -5*z - 250, 8*z - 7*z = -8*n + 478. Suppose 5*a = 4*h - 89, -2*a - 9 = -h + 14. What is the remainder when n is divided by h?
18
Suppose -4*y - 922 = -1266. Calculate the remainder when 514 is divided by y.
84
Let b(r) = 3*r**2 - 3. Let t = 15 - 18. Let o be b(t). Suppose -4*h + 168 = o. What is the remainder when 140 is divided by h?
32
Suppose 0 = -3*d + 15, -2 = -5*p + 4*d + 8. Let l = 12337 - 12322. Calculate the remainder when l is divided by p.
3
Suppose -17 + 109 = 4*x. Let w = -35 + 38. Suppose -2*z - w*z - 3*v + 325 = 0, 0 = z - 2*v - 78. Calculate the remainder when z is divided by x.
22
Let o = -306 - -354. Suppose 4*m + 440 = o*m. Calculate the remainder when 12 is divided by m.
2
Suppose 114*w = 6437 + 517. Calculate the remainder when 4879 is divided by w.
60
Let t(i) be the third derivative of 0*i - 1/2*i**3 + 1/60*i**5 + 0 + 1/4*i**4 + 19*i**2. Calculate the remainder when 47 is divided by t(-9).
23
Suppose 445*x = 468*x - 32729. What is the remainder when x is divided by 62?
59
Suppose -2292 = 43394*c - 43400*c. Calculate the remainder when c is divided by 122.
16
Suppose 98*j - 2631 = 1387. Calculate the remainder when 898 is divided by j.
37
Let a(s) = s**2 - 10*s + 20. What is the remainder when 136 is divided by a(15)?
41
Suppose 6*k - k - 47 = 2*r, -2*r - 20 = -2*k. Suppose -k = 4*c - 37. Suppose -6*m = -2*m - 80. What is the remainder when m is divided by c?
6
Let p(j) = -j**3 + 4*j**2 - 4*j - 9. Let a be p(3). Let i(c) = -5*c - 41. What is the remainder when i(a) is divided by 3?
1
Let o = -318 + 337. Let c(n) = -n - 10. Let k be c(-13). Suppose -3*r = -k*w - 39, w = -w - 2. What is the remainder when o is divided by r?
7
Let z = 340 + -226. Suppose y - 7*y + z = 0. Suppose -4*i + 2*i + 110 = 0. Calculate the remainder when i is divided by y.
17
What is the remainder when ((-141)/(-2))/((-2)/(-4)) is divided by 80/(-128) + (-4648)/(-64)?
69
Suppose -18 = 2*a - 100. Let u = -39 + a. Calculate the remainder when 18 is divided by u.
0
Suppose -226 + 6 = -2*d + 2*x, 0 = d - 3*x - 106. Let i = -9376 + 9414. Calculate the remainder when d is divided by i.
36
Suppose -2*g = -g + 3*m - 328, 4*g - 3*m = 1237. Suppose -6*w - 23 = g. Let k = 28 - w. What is the remainder when k is divided by 44?
40
Let m(l) = -l**2 + 135*l - 4008. What is the remainder when 945 is divided by m(89)?
85
Let z = -6970 - -7572. Calculate the remainder when z is divided by 57.
32
Let y = -80 - -97. Let m(c) = -30*c**3 - 23*c**3 + 2 + c**2 - 3 + y*c**3. What is the remainder when 68 is divided by m(-1)?
32
Let x be ((-18)/15)/((-36)/(-240)). Calculate the remainder when 623 + (-4)/(-1) - (x + 8) is divided by 70.
67
Let d = -98 - -98. Let m(k) = k**2 + k + 139. Let w be m(d). Suppose -5*p + w = -3*z, -4*p + 4*z + 106 = -z. Calculate the remainder when p is divided by 6.
5
Let w(y) = 39*y + 44. Let j(v) = 39*v + 45. Let h(l) = -2*j(l) + 3*w(l). Calculate the remainder when h(2) is divided by 17.
1
Let n be ((-9 - -1) + 9)*11. Suppose 539 = n*l + 187. Let i = -25 + 36. What is the remainder when l is divided by i?
10
Suppose 2*x - 72*h - 1412 = -68*h, 0 = -x + 3*h + 702. Calculate the remainder when 742 is divided by x.
28
Suppose 5*n = -4*o + 2899, -17*o - 2179 = -20*o + n. What is the remainder when o is divided by 14?
12
Let x be -5*(67/5 + (29 - 24)). Calculate the remainder when (-24541)/x - (-2)/8 is divided by 68.
63
Let m(s) = 5*s**2 + 4*s + 4. Let x be 6 + 0 - 0/3. Suppose 0 = -11*u + x*u + 3*y + 100, 0 = -5*y + 25. Calculate the remainder when m(-4) is divided by u.
22
Let g(l) = -l**2 + 94*l - 61. Calculate the remainder when 309 is divided by g(93).
21
Suppose 0*x + 4*x - 12 = 0. Let w(f) = -7*f + 126. What is the remainder when w(11) is divided by x?
1
Suppose -5*j + 19*l - 16*l + 230 = 0, -63 = -j + 4*l. Calculate the remainder when 157 is divided by j.
28
Let z be (-5)/(40/(-824)) + -5. Suppose -z = -8*v + 70. What is the remainder when 290 is divided by v?
17
Suppose 12*l + 12055 = 14599. What is the remainder when 1270 is divided by l?
210
Let a be 1/4 - 694/(-8). Let g be (0 - -132)/12 - -219. Let q = g - a. What is the remainder when q is divided by 36?
35
Let h(r) = -7*r**2 - 13. Let l be h(7). Let b = -208 - l. Let o = b + -105