et f be a(2). What is the remainder when (-2)/(2 + (-220)/f) is divided by 47?
7
Suppose c - 2*q = 3*q - 9, -2*q = 4*c - 52. Let p(d) = d - 8. What is the remainder when -5*((-12)/(-10))/6*-3 is divided by p(c)?
0
Suppose -7*j + 2*j = -2*x - 2262, -2*j = -2*x - 906. Let s = 467 - j. What is the remainder when 442/6 - 2/(-6) is divided by s?
14
Calculate the remainder when 1692 is divided by (-2880)/(-288) - -180*(-6)/(-4).
12
Let p = 182 - 174. Suppose -p = -20*g + 16*g. Calculate the remainder when 18 is divided by g.
0
Let n = -520 + 311. Let b = n - -217. Calculate the remainder when 21 is divided by b.
5
Suppose -3*x = 12, -j + 10*x - 698 = 8*x. Let w = -687 - j. What is the remainder when 36 is divided by w?
17
Suppose -3*l + 3*f = -2 - 40, -4*f - 38 = -3*l. What is the remainder when (0 + -48)/((-12)/l) is divided by 20?
12
Suppose -47 = -2*q + q. Let s be 4 + (-38 - 1 - 4). Calculate the remainder when q is divided by 186*1/8 + s/(-52).
23
Let u = -335 - -980. Suppose u = 21*x + 78. What is the remainder when 101 is divided by x?
20
Suppose 24*y = 1696 - 105 + 929. Calculate the remainder when 926 is divided by y.
86
Let l(h) = 5*h - 28. Let x be l(8). Suppose -26*w = -23*w - x. What is the remainder when ((-27)/2 + 0)/((-2)/w) is divided by 10?
7
Suppose f - 107 = 4*p, 5*f + 443*p = 439*p + 343. Calculate the remainder when 1560 is divided by f.
60
What is the remainder when -3 + 3505 - (1 + 8) is divided by 38?
35
Suppose 3*m + 0*x - 109 = x, -3*m + 117 = -3*x. Let r(b) = -16*b - 779. Let z be r(-47). Let v = z + m. Calculate the remainder when 31 is divided by v.
7
Let x(t) be the third derivative of -t**4/12 + 32*t**3/3 - 14*t**2. What is the remainder when 16 is divided by x(31)?
0
Suppose 0 = 5*o - p - 271, 5*o - 265 = -4*p + 26. Suppose -b - 13 = -v, 2*v - 37 = 3*b + v. Calculate the remainder when o is divided by -4*(-6)/b + 17.
10
Suppose 0 = 4*c + i - 163, 14*c - 2*i + 121 = 17*c. Calculate the remainder when 622 is divided by c.
7
Let r(h) = -6*h**3 - 4*h + 1. Let c(s) = -5*s**3 - 4*s + 2. Let v(i) = -5*c(i) + 4*r(i). Calculate the remainder when 114 is divided by v(3).
15
Suppose 2*l + 43*y = 42*y + 124, -y + 65 = l. Calculate the remainder when 5249 is divided by l.
57
Let q(g) = 4*g - 7. Let p be q(5). Suppose p*d - 452 = 11*d. Suppose 0 = -7*k - 86 + d. Calculate the remainder when 38 is divided by k.
18
Let x(f) = -f**3 + 17*f**2 - 19*f + 67. What is the remainder when x(15) is divided by 25?
7
Suppose -278*i - 34162 = -297*i. Calculate the remainder when i is divided by 120.
118
Suppose -4*v + 0*v - 48984 = 0. What is the remainder when 171 is divided by 2 + 11/(-5) + v/(-130)?
77
Suppose 4*t + c = 60, t + 4*c = 4*t - 26. Suppose 3*v - 208 = g - 5*g, -5*v = 3*g - 167. What is the remainder when g is divided by t?
7
Suppose 236 = -3*o - h, -3*h = 4*o - 8*h + 340. Let f = o - -167. What is the remainder when f is divided by 23?
18
Let s(b) = -b - 52 - 8 - 30*b - 55. Calculate the remainder when 44 is divided by s(-4).
8
Let c be (5/10)/(2/(-40)). Let j = c + 48. Let k(s) = -3*s - 1. Calculate the remainder when j is divided by k(-7).
18
What is the remainder when 150 is divided by 4/(-30) - ((-18)/3 - (-12915)/(-675))?
0
Suppose -9*f + 660 = -4*f - 4*j, -3*f + 396 = 4*j. What is the remainder when f is divided by 76?
56
Let u(p) = -226*p - 1404. Calculate the remainder when u(-7) is divided by 168.
10
Suppose 2*k + 3*p - 219 = 0, -p - 144 = 4*k - 547. Calculate the remainder when k is divided by 26.
21
Suppose -5*x + 29 = -3*w - 0*w, -14 = -2*x + 2*w. Suppose 15 + 9 = -x*s. Let m(o) = o**3 + 6*o**2 - 9*o - 5. What is the remainder when m(s) is divided by 10?
9
Suppose h + 390 = 5*h - 2*v, -3*h + 2*v = -295. Suppose -4*a = -36 - 12. Calculate the remainder when h is divided by a.
11
Let p(w) = -w**3 + 15*w**2 + 10*w + 81. What is the remainder when p(12) is divided by 11?
6
Suppose -2*y - l = -369, -21*l + 16*l - 900 = -5*y. What is the remainder when 363 is divided by y?
180
Suppose 3*x + 4*r = 22, -3*x + r - 6 = -2*r. Suppose -5*u + 4*u + x*m = -11, -1 = -m. What is the remainder when 51 is divided by u?
12
Suppose r = 4*c + 22, 26*r - 3*c + 88 = 28*r. Let x = 28 - 17. Calculate the remainder when r is divided by x.
5
Let z = 464109 + -463499. Suppose 0*h - 42 = -5*h - 3*i, 4*h - 34 = -2*i. Calculate the remainder when z is divided by h.
7
Suppose -7*o = -5*r - 80, -5*r + 100 = 12*o - 7*o. What is the remainder when 2337 is divided by o?
12
Suppose 0 = -2*h + 82 + 250 - 56. What is the remainder when 151 is divided by h?
13
Calculate the remainder when (103 + -48)*(-50)/(-11) is divided by 160.
90
Let g(w) = w**2 + 13*w - 13. Suppose 3*h = 6*h - 9. Suppose 2*n = -h*n + 5*s - 50, -3*n = 5*s + 70. Calculate the remainder when g(n) is divided by 9.
8
Calculate the remainder when 588 is divided by (-5)/3*2754/(-255).
12
Suppose -2*l + 646 = -2*u, 2*u + 641 = 3*l - 0*l. Let m = u + 338. Calculate the remainder when 10 is divided by m.
0
Let a = -911 + 1096. Calculate the remainder when a is divided by 61.
2
Let r(f) = -f**2 + 11*f + 22. Suppose -2*n - 40 = 2*n. Let a be r(n). Calculate the remainder when 125 is divided by 11/3 + -3 + a/(-6).
29
Suppose 62*z + 43725 = 744*z + 113*z. What is the remainder when 268 is divided by z?
48
Suppose 5*w = -5468 + 1193. What is the remainder when 54 is divided by (-380)/w + (-748)/(-18)?
12
Let c = 6 + 6. What is the remainder when (-2 - (-1598)/c) + (-30)/180 is divided by 34?
29
Let v(n) = n**3 + n**2 - n + 130. Let d be 18/(-4) - 12/24. Let i(c) = 2*c**2 + 5*c + 8. Calculate the remainder when v(0) is divided by i(d).
31
Suppose -100 = -h + 27. Suppose -8*j - 39 = -h. Calculate the remainder when 54 is divided by j.
10
Let q(x) = -10*x + 8. Let i(y) = -y**2 - 9*y + 9. Let p(f) = -3*i(f) + 2*q(f). What is the remainder when 180 is divided by p(3)?
32
Suppose 5*u - 39 = -3*g + u, 2*u + 57 = 3*g. Suppose 0 = 5*f + 2*k - 320, -5*f + 4*k + 187 + 163 = 0. Calculate the remainder when f is divided by g.
15
Suppose 5229 = 79*s - 72*s. Calculate the remainder when s is divided by 20.
7
Let v = 187 - 141. Suppose -4870 = -20*l + 2390. Calculate the remainder when l is divided by v.
41
Let c(w) = -12*w - 14. Let h = 41 + -28. Suppose -d = 1 + h. What is the remainder when c(d) is divided by 26?
24
Let n = 718 - 702. Calculate the remainder when 1072/4 - (n/(-4) - -10) is divided by 88.
86
Let a(m) = -m**3 + 10*m**2 + 11*m - 56. Let b be 3/(3/5) + (-8 - -10). What is the remainder when a(b) is divided by 2?
0
Let r = -24076 + 24135. What is the remainder when 2354 is divided by r?
53
Suppose 0 = -48*p + 1551 + 129. Let z be -1 + -2 + 3 + -20. Let d = p + z. What is the remainder when 58 is divided by d?
13
Let g = 15328 + -15245. What is the remainder when 392 is divided by g?
60
Suppose 0 = 38*w + 248 - 492 - 1884. Suppose 5*l - 2*f = -11, -2 - 11 = 3*l + 2*f. Calculate the remainder when w is divided by (l - 1)*(-3 - 2).
16
Suppose -92*q + 1926 - 730 = 0. What is the remainder when 40 is divided by q?
1
Let z = 822 - 294. Suppose -14*x = -17*x + z. Calculate the remainder when x is divided by 36.
32
Suppose 11*w + 1640 = 31*w. Let q = 26 - 8. Calculate the remainder when (63/9 - 3) + w is divided by q.
14
Suppose -x + w = 0, 3*x - 8 = w - 6*w. Suppose 5*c + 0*c + 10 = 0. What is the remainder when (3 - -65) + c + x + 4 is divided by 36?
35
Let g be ((-40)/25)/((-1)/((-85)/(-2))). Suppose g + 37 = 5*a. What is the remainder when 608 is divided by a?
20
Suppose 1690 = 1055*j - 1050*j. Suppose -36 - j = -11*k. Suppose 0*m + 65 = 5*m. Calculate the remainder when k is divided by m.
8
Suppose 0 = 3*z + w - 9, w = -w. Suppose 75 = 6*k - z*k. Suppose 6*q = 4*q + 196. Calculate the remainder when q is divided by k.
23
Let d be (-519*2/(-4))/((-72)/(-192)). Calculate the remainder when (-3)/12 + d/16 is divided by 11.
10
Let f = 157 - 149. Let h(z) = -8*z + 4. Let l be h(-3). Calculate the remainder when l - (-1 + f + -4) is divided by 14.
11
Let t(r) = -20*r - 835. Let g(u) = -u**3 - 13*u**2 - 24*u - 8. Calculate the remainder when t(-48) is divided by g(-11).
13
Let w(p) = -2*p - 10. Calculate the remainder when 4555 is divided by w(-48).
83
Suppose -33*n - 11336 = 19*n. Let j = n + 248. Suppose