x = 345 + -245. Calculate the remainder when 4/(-10) + 5640/x is divided by 11.
1
Suppose -78 - 17 = -19*d. What is the remainder when 153 is divided by (-8745)/110*(d/(-3) + 1)?
47
Suppose 3*w - 141 = -0*w. Calculate the remainder when w is divided by 2758/343 + 50/(-1225).
7
Let a(i) = 5*i - 3. Let p be a(2). Let b be 4/p - 880/(-28) - 2. Suppose -75 = -5*k + b. Calculate the remainder when 83 is divided by k.
20
Let b = -808 + 463. Let q = -116 - b. Suppose 5*l - 664 + q = 5*h, 179 = 2*l - 3*h. What is the remainder when l is divided by 23?
13
Let t(y) be the third derivative of y**4/3 + 41*y**3/6 - 30*y**2. Calculate the remainder when 266 is divided by t(6).
88
Suppose 3*x = 5*l - 10, -1 = 4*l + 2*x - 9. Suppose 0 = l*b + 3*w - 104, 0*b + b - 4*w = 63. Calculate the remainder when b is divided by 31.
24
Suppose 5*z + b - 788 = 0, 3*z - 5*b = -b + 459. Let k = 401 + -361. What is the remainder when z is divided by k?
37
Let a be ((-6)/(-8))/((-7)/(-644)). Calculate the remainder when 68 is divided by ((-2)/(-3))/(a/828).
4
Let r = -788 - -564. What is the remainder when (14 - r/16) + -4 + 0 is divided by 12?
0
Suppose -13*b = 8*b - 20*b - 21. Calculate the remainder when 493/15 + (-28)/(-210) is divided by b.
12
Let w be 3 + (-117)/45 + (-146)/(-10). Suppose -w*s + 63 = -27. Let h = 78 + -51. Calculate the remainder when h is divided by s.
3
Let u(f) = 21*f - 12. Let c = 43 - 42. Calculate the remainder when 18 is divided by u(c).
0
Let i(y) = y**3 - 8*y**2 - y. Let u be i(8). What is the remainder when (u + 5)/((-5)/((-3820)/(-12))) is divided by 51?
38
Suppose 125*l - 128*l = -o + 339, 0 = -l - 6. What is the remainder when o is divided by 134?
53
Let i(d) = 40*d - 53. Let h(m) = -40*m + 54. Let u(y) = 2*h(y) + 3*i(y). Suppose 3 + 33 = -0*l + 9*l. Calculate the remainder when u(l) is divided by 56.
53
Suppose -23491 = -58*j - 21693. Let b be 3/12 + (-14)/(-8). Suppose -u = b*r - 17 + 2, 5*r - 4*u = 57. What is the remainder when j is divided by r?
4
Calculate the remainder when (917/(-21)*-6)/(7 - (1 - -4)) is divided by 25.
6
Suppose 6*t = 4*t + 52. Let n(s) = -77*s**2 + 323*s + 3. What is the remainder when n(4) is divided by t?
11
Let q(u) = 14*u**3 - 4*u + 6. Let z be q(2). Suppose -10*p + 5*p + z = 0. Suppose -p*j - 112 = -26*j. Calculate the remainder when j is divided by 8.
4
Let o = 554 + -534. Suppose -4*b + 5*r + 1646 = 355, -4*r + o = 0. Calculate the remainder when b is divided by 22.
21
Let h be ((-1696)/6)/(-4) - 4/(-3). Suppose -h - 264 = -8*j. What is the remainder when j is divided by 24?
18
Suppose -1584 = -m - 21*m. Suppose 0 = -2*y + 6*y - 4*q - 52, -q - 24 = -2*y. Calculate the remainder when m is divided by y.
6
Let d be ((-7)/(-28))/((-2)/(-120)). Calculate the remainder when (-1 - (-58)/(-6))/((-10)/d) is divided by 10.
6
Calculate the remainder when 4509 is divided by 206 - (1 + 6)/7.
204
Let t(g) = -622*g - 3096. What is the remainder when 3177 is divided by t(-5)?
13
Suppose -4*r + 46 = -554. Calculate the remainder when r is divided by (-7888)/(-187) - (-13)/(1001/(-14)).
24
Suppose 0 = 87*a - 56671 - 10232. What is the remainder when a is divided by 198?
175
Suppose 0*l - 224 = -4*l. Let h be 2/(-15) - (-1 - 47/15). Suppose -4*b = -h*v - 80, -37 = -2*b + v - 2*v. What is the remainder when l is divided by b?
18
Let y = 3243 + -2335. What is the remainder when y is divided by 16?
12
Let d(h) = 4*h + 1788 - 3*h - 1782 - 2*h. Let z = 5 - 8. What is the remainder when 52 is divided by d(z)?
7
Let t = -70 - -60. Let i be (-164)/t + 6/(-15). Suppose -i*k + 8*k = -512. Calculate the remainder when 318 is divided by k.
62
Calculate the remainder when 608 is divided by (-1008)/(182/(-13)) - -5.
69
Let v(y) = -21*y - 7. Calculate the remainder when 13/26*(-556)/(-1) is divided by v(-3).
54
Let h = 13621 + -13490. What is the remainder when h is divided by 49?
33
Let r(t) = t**2 + t + 58. Let p be r(-5). Calculate the remainder when p*9/54 - -1*2 is divided by 8.
7
Suppose 473 + 571 = 18*q. Suppose 3*p = -p + 5*a + 128, -q = -2*p + a. Calculate the remainder when p is divided by -8*((-12)/8 + 0).
3
Suppose 6*t = 5*x + 9*t - 109, 0 = -4*x + t + 77. Suppose -96 = 4*o - x*o. Calculate the remainder when 66 is divided by o.
0
Suppose -5*p + 2380 = 5*g, -3*p = g - 8*p - 446. Calculate the remainder when g is divided by 130.
81
Let z(r) = 2*r**2 - r - 60. What is the remainder when 23 is divided by z(-6)?
5
Let m(w) = w**3 + 12*w**2 + 13*w + 10. Let r be m(-10). Suppose s + s = r. Let t = -1835 + 1856. Calculate the remainder when s is divided by t.
19
Let i be 2 + -3 - ((-2)/(-1) + -332). Suppose -6*w = w - i. What is the remainder when 136 is divided by w?
42
Suppose -v + r + 5 = 0, 3*v - 35*r - 43 = -39*r. What is the remainder when 20 + 3 - (4 + -7) is divided by v?
8
Suppose -2*q - 2*n = -0*q - 556, 2*q - 538 = 4*n. What is the remainder when q is divided by -1 - 5 - (8 - (-8 + 88 - 10))?
51
Let g(x) = x + 75 + 74 - 156. Suppose -3*u + 20 = 2*u. Calculate the remainder when g(20) is divided by u.
1
Let m = -262 + 376. Let k(q) = -12*q**2 - 275*q + 325. What is the remainder when m is divided by k(-24)?
10
Suppose 40 = -8*p + 16*p. Suppose p*m = 3*j + 2*j - 1025, m = -j + 195. Calculate the remainder when j is divided by 52.
44
Let n be ((-400)/(-12))/(-5)*162/(-12). Let r = 93 - n. Suppose 33 - 97 = -4*q. Calculate the remainder when q is divided by r.
1
Suppose -t + 21 = -5*i, -3*t + 31*i - 30*i = -119. Let g(r) = 7*r - 3. Let h = 9 + -7. Calculate the remainder when t is divided by g(h).
8
Let s = 43 + -58. Let k = s + 13. What is the remainder when 111 is divided by ((-3)/k)/((-18)/(-348))?
24
Suppose -g - 2 + 0 = 0, w - 166 = 2*g. Suppose 16250 - 9810 = 230*f. What is the remainder when w is divided by f?
22
Suppose -3*g = 4*t - 12122, -g - 48*t + 4026 = -43*t. What is the remainder when g is divided by 57?
56
Let h(s) = -s**2 + 92*s - 267. What is the remainder when 490 is divided by h(88)?
65
Let k = 35 + 56. Let p = -86 + k. Calculate the remainder when 44/36*6*18/4 is divided by p.
3
Let t(i) = -i**2 - 13*i - 14. Let k(w) = -w**2 - 4*w - 1. Let m be k(-4). Let r be (-261)/116*(-8)/(m + -1). Calculate the remainder when 43 is divided by t(r).
21
Suppose 3*w = -5*v + 22127, 2*w = 3*v + 17305 - 2598. What is the remainder when w is divided by 38?
30
Calculate the remainder when 265 is divided by -1*((-30)/(-15) - 9).
6
Let c(t) = 3*t**2 - 29*t - 31. Let z(d) = -5*d**2 + 44*d + 47. Let n(f) = -8*c(f) - 5*z(f). What is the remainder when n(-12) is divided by (6/18)/(9/108)?
1
What is the remainder when (260/(-13) - -7356)*24/28 is divided by 19?
18
Suppose -354 = -6*i + 174. Calculate the remainder when i is divided by ((-1)/2 - -1)/(7/294).
4
Suppose 0*y + 168 = 2*y. What is the remainder when y is divided by (22/(-4))/(136/(-272))?
7
Suppose -2*u = 4*b - 854, 3*b - 643 = -8*u + 4*u. Let w = -8 - -35. What is the remainder when b is divided by w?
24
Let a(y) = -5*y + 181. Let s be a(35). Suppose 0 = -4*m + 3*w + 251, 0 = 3*m - s*w + 10*w - 157. What is the remainder when 62 is divided by m?
3
Let s be (-22)/(-4) + (-2)/4. Suppose -2*w = -2*b - b + 217, 365 = 5*b - s*w. Let k = 30 - 6. Calculate the remainder when b is divided by k.
23
Suppose 0 = -3*y + 5*c + 53, 4*y - 3*c - 56 = -0*y. Calculate the remainder when -22 + 39 + -14 - -56 is divided by y.
4
Let r be (-58 + 4)/((-13)/(-8) - 2). Let u be 8/(-20) - r/(-10). Suppose v + 8 = u. What is the remainder when 10 is divided by v?
4
Calculate the remainder when ((-28)/21)/(-5*(-8)/(-112620)) is divided by 13.
10
Let z(v) = -v**3 - 53*v**2 + 59*v + 283. What is the remainder when 159 is divided by z(-54)?
3
Let y be 2 + -1 + 7 + 378. Let t = -373 + y. Calculate the remainder when 54/5*10/3 is divided by t.
10
Calculate the remainder when 361 is divided by (-1)/(13 - (14 - 6)) + (-682)/(-10).
21
Suppose 31*f + 975 = 44*f. Suppose 6*g - f = 57. What is the remainder when 131 is divided by g?
21
Let b be (0 - 21/(-28))*-32. Calculate the remainder when 362 is divided by (2 + 152/b)*-3.
11
Suppose -7*d = -4*a + 1158, 9*a - 14*a + 1471 = 3*d. Calculate the remainder when a is divided by 14.
13
Let z = 28058 - 27571. Calculate the remainder when z is divided by 97.
2
