8004. What is the remainder when v is divided by 68?
19
Let b(i) = 0*i**2 + 3*i - 12 + 6*i**2 - 8*i + 4*i. Calculate the remainder when b(-2) is divided by 4.
2
Let o(i) be the second derivative of i**4/3 + 13*i**3/6 + 13*i**2/2 + 45*i. What is the remainder when o(-5) is divided by 25?
23
Let s = -17 + 32. Let k be (1/4)/((-3)/(-24)). Suppose -w + k*c = -2*c - 25, -c + 4 = 0. What is the remainder when w is divided by s?
11
Let v(t) = 3*t**3 - 8*t**2 + t - 32. Let l be v(7). Let z = l - 555. Let p = -44 + 73. Calculate the remainder when z is divided by p.
28
Suppose 0 = -6*u + 46 - 16. Suppose u*s - 197 = 18. Suppose g = -2*a + a + 9, 3*a + s = 4*g. Calculate the remainder when 89 is divided by g.
9
Suppose 4*q - 7834*d - 108 = -7836*d, 0 = 5*q - 5*d - 75. Let h = -70 + 150. What is the remainder when h is divided by q?
11
Suppose 102*r - 1350 = -71 + 2597. What is the remainder when 128 is divided by r?
14
Let l = 27248 - 27216. Calculate the remainder when 5310 is divided by l.
30
Suppose 71*x = 81*x - 50. Calculate the remainder when 237 is divided by x.
2
Let p(k) = -4*k**2 + 35*k - 67. Calculate the remainder when 75 is divided by p(5).
3
Let z = -28416 - -28494. Calculate the remainder when 398 is divided by z.
8
Let r = -8 + 142. What is the remainder when r is divided by (30/(-8) + 4)/(20/720)?
8
Let m = 25 - 17. Let r(w) = -11*w + 1. Let a be r(-2). Suppose -11*z + a = -10*z. What is the remainder when z is divided by m?
7
Calculate the remainder when (432/(-112) - -3)/((-1)/294) is divided by 75.
27
Suppose -876*q + 882*q - 588 = 0. What is the remainder when 292 is divided by (-10 + 7)*q/(-6)?
47
Let o(l) = -6*l**3 - 7*l**2 - 24*l - 40. What is the remainder when o(-4) is divided by 55?
53
Let o(u) = -u**3 + 7*u**2 + 45*u + 24. What is the remainder when 280 is divided by o(11)?
0
Suppose 45*z - 588 = 38*z. Calculate the remainder when 566 is divided by z.
62
Let x(d) = -d**2 - d + 2. Let z be x(-2). Suppose z = 6*l + 225 + 39. Let m = l + 57. What is the remainder when 32 is divided by m?
6
Let b = 424 - 406. Suppose 13*j + b - 395 = 0. Let m(y) = 5*y**2 + y + 1. Calculate the remainder when j is divided by m(-1).
4
Let j(w) = -2*w**3 + 100*w**2 + 3*w + 40. Calculate the remainder when j(50) is divided by -86 + 133 - (1 + (-3)/1).
43
Let p(y) = 12*y + 188. Calculate the remainder when p(-9) is divided by -2*1*-44*(-12)/(-96).
3
Suppose -60 = 6*u - 96. Suppose u*x = -11*x + 1037. Calculate the remainder when x is divided by 8.
5
Suppose -2*x + 6*x = -2*u + 30, -3*u + 30 = 3*x. Suppose 0 = -3*d + u*a - 0*a + 219, 2*d - 146 = a. What is the remainder when d is divided by 17?
5
Let u(x) = x - 11. Let f be (-5)/(-1) + (-1 - 3)/(-4). Let z be u(f). Let p(h) = h**3 + 8*h**2 + 5*h + 1. Calculate the remainder when p(z) is divided by 18.
15
Calculate the remainder when 1546 is divided by ((126/(-7) - -23) + (-49)/5)*-10.
10
Let a(m) = -m**2 + 9*m + 17. Let t be a(7). Suppose -3*x + t = -3*g + 7*g, 5*x - 17 = 2*g. What is the remainder when -2 + 22 + (-12 - -10) is divided by x?
3
Let h = -14 - -53. Calculate the remainder when (-56)/(12 + 456/(-36)) is divided by h.
6
Calculate the remainder when 130 + -2 + 690/(-46) is divided by 39.
35
Let h(z) = -z**2 - 15*z - 29. Suppose -340 = 49*f - 15*f. What is the remainder when 74 is divided by h(f)?
11
Let h(s) = -s**2 - 42*s + 43. What is the remainder when h(-16) is divided by 147?
18
Let y be 2/(-4)*0/(-9). Suppose 78 = 5*o - y*s - 2*s, -4*o = 3*s - 44. Suppose -95*a - 618 = -1473. What is the remainder when o is divided by a?
5
Let z(f) = f**2 + 17*f - 951. Calculate the remainder when 2553 is divided by z(-42).
78
Let k = 28 + -15. Let p = -27344 + 27387. What is the remainder when p is divided by k?
4
Let a(r) = 21*r - 246. Let y = 78 + -57. What is the remainder when a(14) is divided by y?
6
Let d(l) = 12*l - 177. Suppose 0 = -2*v - 5*n + 14, -10 = -0*n - 5*n. What is the remainder when d(15) is divided by v?
1
Suppose -3*j + 5*y + 234 = 0, -503*y + 508*y = -j + 58. Calculate the remainder when 258 is divided by j.
39
Suppose -2*t - 70 = -2*g, 2*g - 4*t + 3*t = 67. Calculate the remainder when ((-945)/70)/((-15)/140) is divided by g.
30
Let m be 50 - 3/((-12)/16 - 0). Suppose -3*a + m = 2*j, 5*j + 2*a - 152 = 3*a. Let i(t) = 22*t**2. Calculate the remainder when i(2) is divided by j.
28
Let o = -8141 + 8160. What is the remainder when 19 is divided by o?
0
What is the remainder when -422*(-39)/26 + 1/((-2)/6) is divided by 21?
0
Let n = 4959 + -4942. What is the remainder when 570 is divided by n?
9
Suppose 3032*y - 3039*y + 133 = 0. Suppose -4*p - 291 = -63. Let m = 112 + p. Calculate the remainder when m is divided by y.
17
Let j = 4448 + -4299. Calculate the remainder when 291 is divided by j.
142
Let c = 434 - 417. Suppose -12*w = -914 - 5158. Calculate the remainder when w is divided by c.
13
What is the remainder when (-5)/((-5)/2806)*(56/(-16))/(-7) is divided by 44?
39
Let t = 301 + -126. Suppose -t = 4*g + g. Let v = g - -75. What is the remainder when v is divided by 21?
19
Suppose 663 = 7*s + 397. Let n be (-95 - 2)*-3*1. Let c = -143 + n. What is the remainder when c is divided by s?
34
Let s = -8 - -52. Suppose -4*l = 3*a + 2, 6*a - 3*l - 39 = 2*a. Suppose a*f - 3*f - 516 = 0. What is the remainder when f is divided by s?
40
What is the remainder when (-3)/30*2 - (-211616)/680 is divided by 53?
46
Suppose 1255 = 3*c - k, -3*k + k = 2. Suppose c = 4*n + 5*b + 118, -3*n = -3*b - 225. What is the remainder when n is divided by 36?
3
Let c = 546 + -542. Suppose 0 = -k + 2*k + o - 152, -805 = -5*k + c*o. Calculate the remainder when k is divided by 40.
37
Let p be (-1)/((0 - 1) + 0)*0. Suppose -3*d = 2*q - 17 - 26, -5*d = q - 25. Calculate the remainder when (-59)/1*1*(-1 - p) is divided by q.
19
Let u(p) = -2*p - 11. Let f(d) = -d - 1. Let x(q) = 6*f(q) + u(q). Let z be 1 - (10 - (-3 - 1)). What is the remainder when x(z) is divided by 15?
12
What is the remainder when (1 - -2)*(18440/24)/5 is divided by 1 - 3/3 - -58?
55
Let l(a) = a**3 + 108*a**2 + 1470*a + 47. Suppose -5*m = j - 56, 3*j + 19 = m + m. Calculate the remainder when l(-16) is divided by m.
2
Let d be ((-2)/(-4) - 2)*28/(-2). Let o = 15 + d. Suppose -2*x - o = -6*x. Calculate the remainder when x is divided by 4.
1
Suppose 2755*t - 6 = 2758*t. Suppose 0 = -0*s - 4*s + 24. Calculate the remainder when ((-184)/12)/(t/(-3)*-1) is divided by s.
5
Calculate the remainder when (-511)/73 - (0 - (0 + 2259)) is divided by 41.
38
Suppose 8*h - 17*h = 2*a - 3050, 3*h = 4*a - 6142. Calculate the remainder when a is divided by 154.
148
What is the remainder when (-1925)/14*-21*22/165 is divided by 157?
71
Let z = 271 + 1138. Calculate the remainder when z is divided by 701.
7
Suppose 7*v + 4*v - 740 = 7*v. What is the remainder when 337 is divided by v?
152
Let h(r) = -21*r - 161. Let b(m) = 5. Let j(g) = -35*b(g) - h(g). Let x(k) = -k - 1. Let y be x(-4). What is the remainder when 97 is divided by j(y)?
48
Suppose -11*b = -8*b - 657. Let l = b - 98. What is the remainder when l is divided by 25?
21
Let h(n) = n**3 - 16*n**2 + 3*n - 35. Suppose m + 14 = 3*m + 4*j, 5*j - 35 = -5*m. Calculate the remainder when h(16) is divided by m.
6
Let o(k) = 4*k**2 + 18*k - 13. Suppose 14*p = 12*p + 12. Let y(m) = -m**3 + 4*m**2 + 10*m + 4. Let z be y(p). What is the remainder when o(z) is divided by 26?
21
Let j(p) = -p**3 - 42*p**2 - 79*p + 109. What is the remainder when j(-40) is divided by 6?
3
Let b(t) = 2*t - 23. Let n = 25 - 12. Let f be b(n). Suppose -f*r - 3*d + 33 = 0, -4*r + 31 = 3*d - 14. Calculate the remainder when 33 is divided by r.
9
Suppose 396*c - 417*c = -1269 + 198. Calculate the remainder when 1414 is divided by c.
37
Suppose -4496 - 645 = -i + 4*p, -3*p = i - 5162. What is the remainder when i is divided by 5?
3
Let z(k) = -k**3 - 10*k**2 + 4*k - 13. Let m be z(-11). What is the remainder when 26 is divided by (m/(-40))/((-8)/(-10) - 1)?
2
Let q = 3810 - 3016. What is the remainder when q is divided by 35?
24
Let x(y) = y**2 - 10*y - 89. Let l = 68 - 76. Let p = 10 + -2. What is the remainder when x(l) is divided by p?
7
Let p = 2988 + -2877. Calculate the remainder when 26970 is divided by p.
108
Suppose 4*t +