is the remainder when 564 is divided by s(6)?
4
Suppose 318 = 8*p + 238. Let d(l) = -3*l**3 + 32*l**2 - 3*l - 5. What is the remainder when d(p) is divided by 21?
18
Suppose -5*l - l - 1170 = 0. Let s = 315 + l. What is the remainder when s is divided by 32?
24
Let u(b) = -18*b - 286. Calculate the remainder when 38 is divided by u(-17).
18
Let y(d) = 3*d - d**2 - d**2 + 7*d**3 - 3*d**2 + d**2. Calculate the remainder when y(2) is divided by (6 + -2)/(87/348).
14
Suppose c - 2*c - 880 = -5*n, n = 3*c + 190. Let a = -6697 - -6714. What is the remainder when n is divided by a?
5
Let d(f) = -17*f + 54. Let g be d(3). Calculate the remainder when 110 is divided by (g + 5 + 0)/1.
6
Suppose -127*p - 75*p + 954 = -96*p. What is the remainder when 4200 is divided by p?
6
Suppose -5*v + 3300 = -5*t, -t - 4*t = 3*v - 2004. Calculate the remainder when v is divided by 166.
165
Let q = -1506 + 644. Let s be (-2)/(-6) + q/(-6). Let d = s + -73. What is the remainder when d is divided by 24?
23
Let p(a) = 3*a - 75. Let y be p(39). Suppose 33*q + 549 = y*q. What is the remainder when q is divided by 5?
1
Let t = 7617 - 7556. Calculate the remainder when 1156 is divided by t.
58
Suppose -15*v + 115 = 9*v - 509. Calculate the remainder when 778 is divided by v.
24
Let b(j) = 1191*j + 8794. What is the remainder when b(10) is divided by 51?
49
Let k = -1447 + 1513. Calculate the remainder when 499 is divided by k.
37
Let f be 16/(-16) - (-7 + 2). Suppose -2*q + f*l + 140 = 52, 0 = -3*q - 4*l + 92. What is the remainder when 286 is divided by q?
34
Suppose -15 = 8*y - 11*y. Suppose 4*o = -3*s - 7, -3*o + y*s + 11 = 4*s. What is the remainder when 195 is divided by (27 - (-4 + o)) + -1?
27
Let q(z) = 8*z**2 + 11*z + 35. Let o be q(-5). Suppose -1052 - o = -11*d. Calculate the remainder when d is divided by 58.
54
Calculate the remainder when 4188/15*65/26 is divided by 33.
5
Let n be (2/(-6))/(18/1998). Let m = -35 - n. Suppose -u - m*u - 34 = -z, z = 2*u + 29. Calculate the remainder when z is divided by 4.
3
Suppose -4*r = -12*w + 17*w - 2328, r - 7*w - 549 = 0. Calculate the remainder when r is divided by 11.
5
Let h(d) = -15*d - 32. Let v be h(-4). Let c = 20 - v. Let y(m) = -m**2 - 10*m - 3. What is the remainder when 37 is divided by y(c)?
11
Let d(i) = 433*i**2 + i - 1. Let m be d(1). Let f be 2*(-2)/4 + m. Suppose -4*a + f = 8*a. Calculate the remainder when a is divided by 13.
10
Suppose -1066*p - 4140 = -1071*p + 3*f, 3*f = -2*p + 1635. What is the remainder when p is divided by 46?
43
Suppose -854 = -7*f - 175. Suppose 35 = w + 4*n, 2*w - 5*n = -4*n + f. Calculate the remainder when w is divided by (34/6)/(1/3).
13
Let p = 6939 + -6658. What is the remainder when 2819 is divided by p?
9
Let f = 1479 - 1370. Calculate the remainder when f is divided by 14.
11
Let k(t) = 4*t + 11. Let v be k(-2). Suppose p = -w - 3 + 1, 5*p = -v*w - 2. Suppose -114 = -x - p*x. What is the remainder when 147 is divided by x?
33
Suppose 4*b + 3*m - 97 = 0, 2*m - 74 = 5*b - 247. Calculate the remainder when 4803 is divided by b.
29
Let a(h) = h**3 - 7*h**2 - h + 45. Let l be a(7). Suppose -15*f = -637 - l. Calculate the remainder when f is divided by 14.
3
Let m = -1568 + 1580. Suppose 4*x - 457 = -185. What is the remainder when x is divided by m?
8
Let x = -12210 + 12317. What is the remainder when 826 is divided by x?
77
Let q be (-46)/(-6)*(4 + 203). Suppose -41*k + q = -18*k. Calculate the remainder when 270 is divided by k.
63
Let v(x) = -x**3 + 5*x**2 - 15*x + 9. Let u be v(-8). Suppose u = 6*h + 163. What is the remainder when h is divided by 34?
31
Let z(u) = -u**3 - 3*u**2 + 2*u + 9. Suppose 290 = 4*d - 3*k - 53, -5*d + 2*k = -420. Calculate the remainder when d is divided by z(-4).
14
Let m(q) = -2*q**3 - 49*q**2 + 54*q + 20. Let h = -94 + 68. What is the remainder when m(h) is divided by 19?
17
Let c(z) = -505*z - 153371. Suppose -2*v + y = -3*y - 6, 3*y - 67 = -5*v. Calculate the remainder when c(-304) is divided by v.
6
Let d = -24 + 40. Let t(w) = w**3 - 6*w**2 + 4*w + 2. Suppose -11*r + 4*j + 8 = -7*r, 3*r = 2*j + 11. What is the remainder when t(r) is divided by d?
15
Let r = 235 + -232. Suppose 71 = r*b + l, 10*l - 6*l + 2 = b. Calculate the remainder when 240 is divided by b.
20
Suppose -5*m + 4762 = 3*b, 2*m - 7962 = -940*b + 935*b. Calculate the remainder when b is divided by 64.
58
Suppose 0 = -3*n - 11 + 5, 0 = 5*g + 2*n - 61. Let u(f) = 2*f**3 - 25*f**2 - 13*f + 17. What is the remainder when 199 is divided by u(g)?
12
Suppose -u = q - 4, 16 = q + 4*q + 3*u. Suppose -3*s - q*j = -1, 3*j - 24 = 3*s - 0*s. What is the remainder when 15 is divided by ((-16)/(-6) - (-9)/s)*-12?
3
Suppose -78*b + 53*b + 5475 = 0. Suppose -b - 247 = -v. What is the remainder when v is divided by 7?
4
Suppose -5*i + 4*u - 10 = 0, 0 = -2*i - u + 3*u - 6. Suppose 4*w + 34 = 5*f - 207, -145 = -3*f + i*w. Calculate the remainder when 89 is divided by f.
40
Let v(h) = 4*h + 23. Let w be v(-5). Suppose -s - n = -21, 3*s + 2*n = -w*n + 65. Let g = s + 3. Calculate the remainder when 66 is divided by g.
20
Suppose 0 = o - 4*l - 36, 0 = 6*o - o - 4*l - 228. Suppose -4*x + 5*p = -801, -2*x + 14*p - 12*p + 396 = 0. What is the remainder when x is divided by o?
45
Suppose -4*b + 5*n = -69, -7*b + 5*n + 3 = -9*b. Let t = 444 + -398. What is the remainder when t is divided by b?
2
Let p = 25869 + -24306. What is the remainder when p is divided by 91?
16
Let w(r) = -5*r - 69. Suppose 6*o - 10*o - 72 = 0. Calculate the remainder when 123 is divided by w(o).
18
Suppose -y = -2 - 29. Suppose -3*n - n - y = -h, -3*h + 78 = 3*n. Suppose i - 73 + h = 0. Calculate the remainder when i is divided by 10.
6
Let u(d) = d**3 - 4*d**2 - 32*d + 10. Let i be u(8). Suppose -i*p + 35 = -5*p. What is the remainder when p is divided by 6?
1
Suppose 9*k + 48 = 12*k. Suppose -k*b - 174 + 478 = 0. Suppose -q + 34 + 0 = 0. What is the remainder when q is divided by b?
15
Let f be 1/((-15)/9 + 2). Suppose f*n + t = -2*t + 306, -5*t = -2*n + 232. Calculate the remainder when n is divided by 56.
50
Let n be 0/(((-1)/4)/(8/(-64))). Calculate the remainder when 45 is divided by (2 - (n + 5)) + 14 + 2.
6
Let t(n) = n**2 - 4*n - 7. Calculate the remainder when (-118)/(-2360) + (-2457)/(-60) is divided by t(7).
13
Suppose -5*t = x - 27, 3*t + 275 = -x + 6*x. Suppose -6*w - 140 = -752. What is the remainder when w is divided by x?
50
Let i(m) = -m + 12. Suppose -10*a + d - 280 = -14*a, -9*d = -36. What is the remainder when a is divided by i(-9)?
6
Suppose 3*w - 6 = 0, -3*w + 1420 = 4*x - 7*w. Let u = 25016 + -24986. Calculate the remainder when x is divided by u.
27
Suppose -5*q - m = -68, -36 = -3*q + 18*m - 21*m. Suppose -4*w = -0*w + 20, -2*y - 5*w + 557 = 0. What is the remainder when y is divided by q?
11
Suppose 2*r = -4*q + 50, 249 - 230 = r - q. Suppose -5*h + 83 + 87 = -2*a, -h + 34 = -4*a. Calculate the remainder when h is divided by r.
13
Suppose j + w - 1479 = 0, -5*w = 5 + 5. What is the remainder when j is divided by 28?
25
Let t(w) = 2*w**3 - 17*w**2 + w + 17. Let u be (2/(-6))/(2/(-18)). Suppose u*c - 49 = 5. Calculate the remainder when t(9) is divided by c.
17
Suppose 5682 = -23*h + 135862. What is the remainder when h is divided by 51?
50
Let y be 2/10 - 1358/(-35). Suppose -55 = -4*a - y. Calculate the remainder when ((-14)/(-4))/(1/2) is divided by a.
3
Let c(i) = 2*i**2 - 3*i - 51. Let a be c(10). Suppose -a = 3*f - 218. What is the remainder when 51 is divided by f?
18
Suppose -13*x - 70 = -20*x. Suppose 9*m = x*m - 45. Calculate the remainder when m is divided by 10.
5
Let o = -179 + 273. Suppose -2*j = -o + 22. Suppose 0 = 2*s - 0*s - j. What is the remainder when 34 is divided by s?
16
Suppose -4700 = -10*f + 9441 - 3061. What is the remainder when f is divided by 62?
54
Suppose -60 = -3*o + 4*x, 2*x - 98 = -3*o - 20. Suppose 7*t = 5*t - 40. Calculate the remainder when 2 + 104/t*(-49 - 1) is divided by o.
22
Suppose 0 = v + t - 37, -18 - 37 = 5*t. Suppose -5*l + 11 = -29. Calculate the remainder when v is divided by l.
0
Calculate the remainder when 646 is divided by ((-2)/11 + 13986/(-6930))/(1/(-65)).
74
Let u(l) = l**2 + 10*l + 3. Let q be u(-9). Calculate the remainder when q/(-30)*5