
Let f be 4/30 + 5831/255. What is the remainder when 0 + f + 2 + -2 is divided by 8?
7
Suppose n - 332 = -3*p, 5*p - 4*n - 78 = 447. Calculate the remainder when 219 is divided by p.
1
Suppose -2*g + 4 = -12. Suppose -11*a + g*a = -372. Calculate the remainder when a is divided by 34.
22
Let m = 248 - 243. Suppose m*a = -2*r + 216, 2*a - 4 - 95 = -5*r. Calculate the remainder when a is divided by 9.
6
Suppose 44*v - 46*v + 858 = 2*k, -3*k = -v + 405. What is the remainder when v is divided by 131?
30
Suppose -11*g + 0 + 0 = 0. Suppose g = -3*k + 6 + 123. Calculate the remainder when 255 is divided by k.
40
Let n = 34994 - 34330. What is the remainder when 675 is divided by n?
11
Suppose -24*p = -60*p + 22*p + 882. What is the remainder when 300 is divided by p?
48
Calculate the remainder when ((-3)/(-6))/(1/2) is divided by 160/(-78) - -2 - 21197/(-20163).
0
Let g(k) = -k**3 - 46*k**2 + 96*k + 72. Calculate the remainder when g(-48) is divided by 15.
12
Suppose 7*f - 8*f + 37 = 0. Suppose 18*m + 21 = 25*m. Suppose -353 = -m*h - 137. Calculate the remainder when h is divided by f.
35
Let v(h) = -h**2 + 9*h - 14. Let f be v(4). Suppose -5*z = -j + 6, -2*z - 3*z = -4*j - f. What is the remainder when 71 is divided by 4 + z + 0 - -13?
11
Let h = 3832 - 3612. What is the remainder when h is divided by 30?
10
Let t(p) = p**3 + 5*p**2 + 4*p + 43. Let r be t(-8). Let g = r + 193. Calculate the remainder when 69 is divided by g.
9
Let i be -2 - -3 - (-2)/2. Suppose -b + 2*b - 5*f - 5 = 0, -i*b + 20 = -5*f. What is the remainder when b is divided by 6?
3
Let h be 3*(110/(-15) + 6 - -4). Suppose -h*u - 29*u = -4218. What is the remainder when u is divided by 23?
22
Suppose 0 = 4*q - 4*m - 60, 5*q - 173 + 66 = -3*m. What is the remainder when 2866 is divided by q?
16
Suppose -3928 - 6245 = -143*m + 2697. Calculate the remainder when 2512 is divided by m.
82
Let m(t) = 86*t**2 - 21*t + 55. What is the remainder when m(4) is divided by 45?
42
Let o(x) = -3*x**3 - x**2 + x + 1. Let s(z) be the second derivative of -z**3/6 - 9*z. Let l be s(1). Calculate the remainder when 5 is divided by o(l).
1
Suppose v - 256 = -2*l + 1205, 0 = -l - 2*v + 729. Calculate the remainder when l is divided by 117.
29
Suppose 20000 = -15*u + 40*u. Let r = u - 556. What is the remainder when r is divided by 19?
16
Let w = -614 + 1504. Calculate the remainder when w is divided by 53.
42
Calculate the remainder when (-264)/(218/32 - ((-30)/3 - -17)) is divided by 16.
0
Suppose 5*t = -4*t + 72. Let o(j) = -2*j**2 + 14*j + 2. Let v be o(t). Let y = 33 + v. Calculate the remainder when 37 is divided by y.
18
Suppose -5*j = -5*p - 170, -160 = -4*j + 7*p - 9*p. Calculate the remainder when 183 is divided by j.
31
Let n(f) = -135*f - 2181. What is the remainder when n(-23) is divided by 58?
54
Let m(l) = l**3 - 22*l**2 - 6*l + 178. Let n = -36 - -12. Let w = -14 - n. What is the remainder when m(22) is divided by w?
6
Suppose -77*h = -31504 - 8998. Calculate the remainder when h is divided by 19.
13
Let w = -4668 - -5069. What is the remainder when w is divided by 115?
56
Suppose s = 10 + 1. Let z = 570 + -341. Let v = -154 + z. What is the remainder when v is divided by s?
9
Let x be -3 - (-10)/4*-14. Let b = -167 + 135. Let k = b - x. What is the remainder when 46 is divided by k?
4
Let u(w) = -14*w - 76. Let n be u(-6). Let f be ((-14)/(-6) + 1)*3. Suppose f*a = 6*a + n. Calculate the remainder when 13 is divided by a.
1
Let v(n) = 88*n + 751. Suppose -13 = -3*y - 1. Suppose y*s - 113 - 67 = 0. Calculate the remainder when v(-6) is divided by s.
43
Let v = -20 - -25. Suppose 3*y = -22*m + 21*m + 5, -5*m = v*y - 35. What is the remainder when 69 is divided by m?
5
Let w = 478 - 467. Suppose 28 = o + 5*k - w, -5*k + 93 = 2*o. What is the remainder when 124 is divided by o?
16
Let y be ((-14980)/(-105))/(2/9). Suppose -21*s = y - 3834. What is the remainder when s is divided by 39?
35
Let n = 54 + -40. Let r = 92 + -52. Calculate the remainder when r is divided by 312/n + 4/(-14).
18
Suppose -10*s + 15*s = 895. Suppose 4*d - 148 = -2*q, -d + 43 = 5*q - 273. Calculate the remainder when s is divided by q.
55
Let z(n) = n**3 - 3*n**2 - 18*n + 14. Suppose 168 = 80*r - 52*r. What is the remainder when 186 is divided by z(r)?
4
Let k = 19286 + -17439. What is the remainder when k is divided by 923?
1
Suppose 10 = -2*t + 4*b, 5*t - 3*b - 35 = -5*b. Suppose 205 = t*z - 2*i, 2*z + 5*i = z + 14. What is the remainder when z is divided by -5*((-441)/45 + 7)?
11
What is the remainder when (45/(-10) - -3) + (-8)/((-96)/42378) is divided by 114?
110
Suppose -g + 44 = 3. Let h = g - 34. Suppose 58 = t - 5*k + h, k - 153 = -3*t. Calculate the remainder when t is divided by 26.
25
Suppose 4*a - 1889 = -5*q, 5*a - 10*q = -7*q + 2352. Suppose -360 = 5*g - 9*g - f, 5*g - 4*f - a = 0. Calculate the remainder when g is divided by 12.
7
Let p be -2 + 0 + 2 + -3. Suppose -8*n + 270 = -3*n. Let y = n - p. Calculate the remainder when y is divided by 10.
7
Let p be ((-6)/(-4))/((45/(-230))/(-9)). Suppose -37 = 4*j - p. What is the remainder when 27 is divided by j?
3
Suppose -2607576 - 1718008 = 184*z - 593*z. Calculate the remainder when z is divided by 82.
80
Suppose 564 = 17*q - 6627. Let i = q - 256. Calculate the remainder when i is divided by 34.
31
Let c(s) = 14*s**2 - s + 2. Let h(p) be the first derivative of 4*p**3/3 - 137*p**2/2 + 55*p + 251. What is the remainder when c(2) is divided by h(34)?
14
Let v(r) = 4*r - 33. Let a be v(9). Suppose 239 = x - 5*h + 51, a*x + 4*h = 526. Calculate the remainder when x is divided by 45.
43
Suppose 106*m - 464 = 209*m - 111*m. Calculate the remainder when 1631 is divided by m.
7
Let z = 557 + -419. Let y = 556 - z. What is the remainder when y is divided by 60?
58
Suppose 0*x - 11 = x - 4*o, -2 = 2*x + 2*o. What is the remainder when (x/(-2))/((-12)/(-2480)*5) is divided by 16?
14
What is the remainder when 768 is divided by 274/5 + 71/5 + -14?
53
Let r(t) = -2*t**3 + 16*t**2 - 15*t + 11. Let g be r(7). Calculate the remainder when (-14)/(g + 98/(-21)) is divided by 3.
0
Let s(g) = -2*g**3 + 54*g**2 - 338*g - 325. Let p = 568 + -220. Calculate the remainder when p is divided by s(14).
36
Suppose 0 = 6*s + 3*g - 687, -13*g = -15*g - 10. What is the remainder when s is divided by 7?
5
Let z be (-54)/(-9) + (-8)/2 + 2. Suppose z*b = -3*b - 308. Let u = b - -93. What is the remainder when 95 is divided by u?
46
Suppose -55*t = -30*t + 114*t - 35445. What is the remainder when t is divided by 114?
27
Suppose 0 = 5*i - 25, -v + 0*i + 314 = -2*i. Calculate the remainder when v is divided by (264/33)/((-2 - -1)/(-5)) - 7.
27
Let v = 183 - 356. Let z = -113 - v. Let m(a) = a**3 + 19*a**2 - 2*a - 29. Calculate the remainder when z is divided by m(-19).
6
Let g = 24639 - 24634. What is the remainder when 10437 is divided by g?
2
Suppose r = -0*r - 4*r. Suppose -k = -l - 248, 4*k + r*k + 3*l = 971. Calculate the remainder when k is divided by 13.
11
Let i(d) = -365*d + 2205. Calculate the remainder when 1697 is divided by i(6).
2
Let s(y) = 2*y**2 - 26*y + 195. What is the remainder when s(14) is divided by 146?
77
Calculate the remainder when (1139 - (1 + -1)) + (-20)/8*-2 is divided by 195.
169
Calculate the remainder when -4375*55/(4950/(-108)) is divided by 72.
66
Let i(t) = 4*t - 9. Let o be i(3). Suppose 0 = c + o*z + 12, 4*c + z + 1 = -3. Let h(p) = p**2 - 2*p + 12. Calculate the remainder when 22 is divided by h(c).
10
Let l = 705 - 685. What is the remainder when 799 is divided by l?
19
Let a(i) = -43*i - 23 + 4*i + 24 - 4*i**2 - 12. What is the remainder when a(-6) is divided by 27?
25
Let l = -153 + 156. Suppose -2*n = l*p + n - 3, p - 2*n = 4. Let h(v) = -v + 4. What is the remainder when h(0) is divided by p?
0
Suppose 2*l - 296 = -4*v, -4*v + 111*l + 292 = 114*l. What is the remainder when v is divided by 21?
13
Let r = -17146 - -17154. What is the remainder when 1797 is divided by r?
5
Let l = -170 + 176. What is the remainder when (11 - l) + -4 + 76*1 is divided by 20?
17
Let s be 3 + 3 + 1 + -50. Let o(a) = 7*a + 319. Calculate the remainder when 106 is divided by o(s).
16
Suppose 60*m - 9591 = 19869. Calculate the remainder when m is divided by 48.
11
