270. Calculate the remainder when f is divided by 8.
6
Let k = 51 - 22. Suppose 8*g + 213 - 1365 = 0. Suppose -13*y + 4*y + g = 0. What is the remainder when k is divided by y?
13
Suppose -2*y - 1471 = 4*n + 25, -4*n - 4*y = 1492. Let l = n + 673. Calculate the remainder when l is divided by 15.
13
Suppose 0 = -141*t + 137*t + n + 634, -2*t = 3*n - 338. Suppose 3*j + 2*j - 135 = 0. Calculate the remainder when t is divided by j.
25
Suppose 7*y - 4311 = 8086. Let l = -2 - -4. Calculate the remainder when (-23)/(y/132)*14/(-4) is divided by l.
0
Suppose n = -m + 3*n + 157, 5*n - 725 = -5*m. Calculate the remainder when 2234 is divided by m.
148
Calculate the remainder when 1451 is divided by 70/21*396/10.
131
Let o = 140 + -52. Let c = -82 + o. Suppose d = -c*d + 63. Calculate the remainder when d is divided by 2.
1
Let j = 2722 - 2327. Calculate the remainder when j is divided by 146.
103
Suppose 4131 = -9*a + 12*a. Let w = 435 - a. What is the remainder when (10/15)/((-4)/w) is divided by 32?
29
Let u = 683 - 350. Calculate the remainder when 338 is divided by u.
5
Suppose -s = -7*j + 4*j - 1262, 3 = 3*j. What is the remainder when s is divided by 210?
5
Calculate the remainder when (-1800)/1650 - 1422/(-33) is divided by (-2)/4*-2*22.
20
Let d = 741 - 727. Suppose 4*g + 0*g = -4*y + 772, y - 181 = 5*g. Let z = 329 - y. Calculate the remainder when z is divided by d.
12
Suppose 7*a + l = 5*a - 6, -2*l = 5*a + 15. Let h be 210/140*(0 - 1 - a). Suppose -h*q + 217 = 4*q. What is the remainder when q is divided by 11?
9
Calculate the remainder when (-174)/5*(-400)/60 is divided by 38.
4
Let g = 3440 + -2614. What is the remainder when g is divided by 92?
90
Suppose p = 2*k + 147, 2*p = -k + 74 + 220. Suppose -f = -0*f - 4*r - 42, -5*r = -3*f + p. Calculate the remainder when 19 is divided by (-2)/(9/(f/(-4))).
1
Suppose 9*c + 9*c = 450. Suppose 4*t = c*t - 609. What is the remainder when t is divided by 21?
8
Let r = 36 + -32. Let g = 193 - 82. Calculate the remainder when g is divided by ((38/r)/1)/(1/4).
35
Let j(c) = 4*c**2 - 7. Let o be j(3). Let y = o - 28. Suppose -3*r - 4*f - f + 85 = 0, 0 = -f - y. What is the remainder when r is divided by 17?
13
Let a = 110 - 64. Calculate the remainder when 10762 is divided by a.
44
Let x(u) = -5*u**2 + 211*u - 16. What is the remainder when x(40) is divided by 217?
207
Suppose 0 = y - 3, 4 = 5*f + y - 3*y. Let a(t) = 6*t**2 - 7*t**2 - f*t + 0*t + 2*t**2. Calculate the remainder when a(4) is divided by 6.
2
Let n(s) = -s**3 - 13*s**2 + 11*s - 11. Let w be n(-13). Let j = -89 - w. What is the remainder when 75 is divided by 8/2*j/10?
23
Suppose 340 = 5*r + 5*d, -4*d = r - 14 - 69. Calculate the remainder when r is divided by -13*(-10)/5 + 176/(-22).
9
Suppose -b - r + 47 = 0, -r = -4*b + 462 - 309. What is the remainder when 631 is divided by b?
31
Suppose -2 = 7*a - 9. Let k(m) = 79*m**3 - 2*m + 2. Let t(s) = 4*s**2 - 4*s + 3. What is the remainder when k(a) is divided by t(3)?
25
Suppose 2*b - 103 = -7*c, 15*b - 12*b = c + 258. What is the remainder when 221 is divided by b?
55
Suppose -692 = -4*l + 2*w, -5*l - 46 = -w - 908. What is the remainder when l is divided by 31?
17
Suppose 3*h = -5*q + h + 59, -5*q + 63 = 4*h. Let z = 42468 + -42315. Calculate the remainder when z is divided by q.
10
Suppose 4*h - 4 = -4*p, -5*h + 2*p - 8 = 15. Suppose 3*k - 47*k + 648 = 28*k. What is the remainder when h/(-6) - 170/(-4) is divided by k?
7
Suppose -9*q + 1438 = 223. What is the remainder when 6/(-4)*(-93510)/q is divided by 26?
25
Let l(d) = d**2 + 4 - 5 + 8*d - 9. What is the remainder when (-3)/(((-3)/149)/1) is divided by l(-12)?
35
Suppose -30*b = -4*o - 27*b + 8, 0 = 5*o - 3*b - 10. What is the remainder when 158 is divided by o?
0
Suppose -14*i - 165 + 403 = 0. Calculate the remainder when 304 is divided by i.
15
Suppose -272*t = -253*t - 8360. Suppose -38*h = 2*h - t. Let q(p) = -11*p - 3. Calculate the remainder when q(-3) is divided by h.
8
Suppose -8*r + 4*r = -12. Suppose 13 = l - 2*s, 4*l - 8*l + 37 = -r*s. What is the remainder when l/(-28) - (-458)/8 is divided by 30?
27
Let t be (-4)/10 + (-16)/(-40). Suppose t = -2*x + 4*c + 48, 6*c - 10 = 11*c. What is the remainder when 156 is divided by x?
16
Let w(o) = 22*o - 97. Calculate the remainder when 74/(-2 + (-42)/(-9) + -2) is divided by w(5).
7
Suppose 90*j = -129*j + 34821. What is the remainder when 995 is divided by j?
41
Let m(j) = 8*j + 179. Calculate the remainder when m(8) is divided by 28.
19
Let v(t) = -3*t**2 + 3*t + 117. Let z be 0/(5 - 6 - 0). What is the remainder when v(z) is divided by 15?
12
Let u = -307 + 309. Suppose -105 = -u*i - 3*i + 3*v, 4*v + 21 = i. What is the remainder when 103 is divided by i?
19
Suppose -190 = -2*z + z - 2*x, -4*z + 772 = 4*x. Suppose 49*g - 21*g - 308 = 0. Calculate the remainder when z is divided by g.
9
Let q be ((-693)/(-18))/(1/(-12)). Let o = q + 474. What is the remainder when 25 is divided by o?
1
Let o(h) = 31*h + 78. Let d(x) = -29*x - 74. Let l(s) = 7*d(s) + 6*o(s). Calculate the remainder when l(-9) is divided by 10.
3
Calculate the remainder when 399 is divided by 1/(-7) + 28/(-686)*-3164.
12
Let d(k) = 12*k**2 - 11*k - 469. What is the remainder when d(10) is divided by 16?
13
Let g be 37*-1*(-6)/3. Suppose -34*q + 425 = -425. Let t = q + g. What is the remainder when t is divided by 20?
19
Let s(l) = l**3 - 7*l**2 + 29*l - 90. Let j be s(5). Suppose 0 = 4*h + 2*t - 394 - 1068, 727 = 2*h + j*t. Calculate the remainder when h is divided by 37.
33
Let z(i) be the first derivative of 5*i**2 + 37*i - 28. Let j be z(10). Suppose -142*f = -j*f - 305. What is the remainder when f is divided by 32?
29
Let x = 88 + 7. Calculate the remainder when 18 is divided by (-2)/(-20) - x/(-50).
0
Let d(n) = 21*n + 501. What is the remainder when d(-14) is divided by 36?
27
Suppose -4*h + 152 = 6*n - 3*n, 4*n = 0. What is the remainder when 41 is divided by 130/6 - h/57?
20
Suppose -74*l + 77*l - 4*n - 1003 = 0, 2*l + 4*n - 682 = 0. What is the remainder when l is divided by 34?
31
Suppose 0 = -40*s - 29*s - 335 + 1439. Calculate the remainder when 169 is divided by s.
9
Let q(u) = -u**3 - 13*u - 7. Let p be q(-3). Suppose p*x = 73*x - 406. Suppose 12 - 31 = -w. What is the remainder when x is divided by w?
10
Suppose -64*t + 2582 + 2304 = -42. Calculate the remainder when 599 is divided by t.
60
Let d(m) = 21 + 2*m + 1 + 22. Calculate the remainder when 195 is divided by d(-8).
27
Let g = 4945 - 4702. Calculate the remainder when g is divided by 64.
51
Let a(t) = -t**2 + 5*t + 268. Let n be a(-14). Suppose q + 346 = 3*y + 22, -n*y - q = -211. What is the remainder when y is divided by 9?
8
Suppose 703*g - 1081331 = 624850. What is the remainder when g is divided by 23?
12
Suppose 36*v - 38574 = 12690. Suppose 0*l + v = 8*l. Calculate the remainder when l is divided by 39.
22
Suppose -25*z + 37*z - 63336 = 0. Suppose 0 = 23*w - 37*w + z. Calculate the remainder when w is divided by 54.
53
Let d(w) = 8*w**2 + 20*w - 5. Let t be d(-6). Suppose 2*g + t = 273. What is the remainder when g is divided by 20?
15
Let g(j) = 3*j - 63. Let a(c) = c + 3. Suppose 6*i - 16 = 2*i. What is the remainder when g(27) is divided by a(i)?
4
Let t(u) = u + 49. What is the remainder when t(-18) is divided by (-2 - -17) + 10/15*-6?
9
Let v(q) = q**3 - 13*q**2 - 8*q + 440. Calculate the remainder when 637 is divided by v(12).
37
Let i be -8 + 355/45 + 6049/9. Suppose -14*z - i = -28*z. What is the remainder when z is divided by 25?
23
Suppose 368 = 4*m + 4*a, 4*m = 4*a + 232 + 136. Calculate the remainder when 581 is divided by m.
29
Let p = 2906 - 2894. What is the remainder when 19918 is divided by p?
10
Let t(j) = -j**3 + 5*j**2 + 7*j - 1. Let y be t(6). Suppose -y*f + 88 = -f. What is the remainder when f is divided by (2*1 - (-56)/12) + 476/(-714)?
4
Let k(r) = r**3 + 50*r**2 + 2*r + 111. Calculate the remainder when 217 is divided by k(-50).
8
Suppose 312*l + 125*l - 7866 = 0. What is the remainder when 12542 is divided by l?
14
Let b be ((-2)/6)/((-8)/2952). Suppose 2*s - b = -3*l, -43*l + 2 = -45*l. What is the remainder when s is divided by 28?
7
Suppose 3*m - 242 - 91 = 0. Let h be (8/(-6) + 2)/((-12)/(-54)). Suppos