42)). Suppose 4*j + 5*v = -j + 95, 3*j - 61 = -i*v. Let s(m) = m**3 - 3*m**2 - m + 11. What is the remainder when s(5) is divided by j?
11
Suppose 0 = -3*y - 3*w - w + 26, 5*y = w + 51. Suppose -y*v + v = -3*v. Suppose 3*t + 2*t - 70 = v. Calculate the remainder when 81 is divided by t.
11
Suppose 0 = -8*y - 207780 + 207812. Let r(p) = 17*p**2 + 2*p - 3. What is the remainder when r(2) is divided by y?
1
Let q(u) = -68*u - 180. Let v be q(-6). Let j = 310 - v. Calculate the remainder when j is divided by 32.
18
Suppose 0 = -3*u + 46 - 10. Suppose -3*x = -0*x - u. Suppose 73 = 4*i - 5*n, i + x*n = 4*i - 56. Calculate the remainder when 58 is divided by i.
10
Let p = 3293 - 2674. What is the remainder when p is divided by 48?
43
Let g = -4679 + 10220. What is the remainder when g is divided by 163?
162
Suppose -4*b + 20 + 32 = 0. Suppose 18*j - 5*n = b*j + 230, -87 = -2*j + 3*n. Calculate the remainder when j is divided by 13*2 + (2 - 1).
24
Let v(b) = b**2 - 6*b - 13. Suppose 3*c - 14 = -t, -3*t - 8*c + 32 = -4*c. Let q be v(t). What is the remainder when 0 - 0 - (-45 + (q - 4)) is divided by 12?
10
Suppose -12*x = -22*x - 660. Calculate the remainder when 22/x - (-1272)/9 is divided by 37.
30
Let o = -13306 - -13391. Calculate the remainder when o is divided by 11.
8
Suppose -5 = 11*z - 12*z, -4*z = 3*h - 56. Let t = 6 + 1. Suppose -w + 3*p + h = -t, 3*w - 50 = 2*p. What is the remainder when 30 is divided by w?
14
Suppose 3*t = 3*q - q + 16, 3*q = 12. Suppose -4*i + n = 5*n - t, -4*i = 3*n - 7. What is the remainder when (0 - 2) + 2*3 is divided by i?
0
Let o = -3191 + 3283. What is the remainder when o is divided by 43?
6
Suppose 71*u = 23805 + 3814. Suppose 393*n - u*n = 344. Let a(i) = i**2 + 13. Calculate the remainder when n is divided by a(0).
8
Let d = -58 + -37. Suppose 2*g + 4 = -m + 43, 0 = -m + g + 48. Calculate the remainder when -3 + 4 - (10 + d) is divided by m.
41
Suppose 0 = 7*z - 125 - 1. Suppose s - z*t + 15*t - 123 = 0, 3*s = 2*t + 369. Calculate the remainder when s is divided by 25.
23
Let k(a) = 40*a**2 - 91*a + 445. What is the remainder when k(5) is divided by 67?
52
Let l = -253 - -265. Let a = 24 + l. Calculate the remainder when a is divided by 10.
6
Suppose -5*o + 79 + 16 = 0. Calculate the remainder when ((-88)/(-55) - 669/15)/(3/(-21)) is divided by o.
16
Let h be (9/2)/(7/14). Suppose h*w - 1911 - 222 = 0. Calculate the remainder when w is divided by 15.
12
Suppose -u - 179 = -5*u + 5*q, -5*u - 4*q = -193. Let a = u - 36. Calculate the remainder when 61 + (5/a - 0) is divided by 16.
14
Suppose -2*s + 36 - 7 = 3*a, -s + 11 = a. Let k = a - -58. Calculate the remainder when k is divided by 34.
31
Suppose 0 = z + 4*a - 1694, -4*z - 27*a + 28*a + 6810 = 0. Calculate the remainder when z is divided by 28.
22
Let m(v) = -3*v**2 - 167*v + 1351. Calculate the remainder when m(-61) is divided by 205.
170
Let y(z) = z**3 - 24*z**2 - 25*z + 2. Let a be y(25). Let g be (-4)/14 + 23/7. Suppose -a*x - 28 = -g*x. Calculate the remainder when x is divided by 15.
13
Let q(u) = -u**3 - 25*u**2 - 6*u + 14. Let l be q(-25). Let t = -141 + l. Calculate the remainder when 41 is divided by t.
18
Suppose 132*o - 34916 = 46*o. Calculate the remainder when o is divided by 48.
22
Suppose -2*c = -2*p + 4, 2*c - 4 = 3*c - 2*p. Suppose c = 19*d - d - 252. Suppose x + 66 = 2*x. What is the remainder when x is divided by d?
10
Let y = 237 + -126. Calculate the remainder when y is divided by 82.
29
Suppose 3*q + 8*k + 116 - 426 = 0, 4*q - 3*k = 468. What is the remainder when 155 is divided by q?
41
Suppose -18 = -5*y - a - 74, -2*y - a = 20. Let g(u) = 260*u + 578. What is the remainder when g(-2) is divided by (-4)/6 - 152/y?
10
Let m(a) = a**2 + 5*a - 3. Suppose 44*c = 25*c + 551. Calculate the remainder when m(-12) is divided by c.
23
Let m(h) = 84*h**2 - 24*h - 26. What is the remainder when 126 is divided by m(-1)?
44
Let p(s) = 133*s + 2652. Calculate the remainder when 699 is divided by p(-15).
42
Suppose -16*f = 4*f + 560. Calculate the remainder when 55/(4/f*-7) is divided by 10.
5
Let k(n) = 4*n - 18. Let x be k(5). What is the remainder when 87 is divided by -21*x/28*-4?
3
What is the remainder when ((-5198)/138)/((-4)/12) is divided by 112?
1
Let x(g) = g**3 + 5*g**2 - 2*g - 1. Let o be (22*-33)/(-26 - -28). Let r = -330 - o. Calculate the remainder when r is divided by x(-5).
6
Let o be -31 + (3 - 1 - 10). What is the remainder when 44 is divided by (-2)/(-6) + (-104)/o?
2
Suppose -5*p - 1119 + 209 = 0. Let i = 207 + p. What is the remainder when 30 is divided by i?
5
Let u = -3943 - -4038. What is the remainder when u is divided by (31/(-3))/(0 + (-2)/6)?
2
Suppose -3*g = -4*c - 149, 57*g + 3*c + 150 = 60*g. Let w(i) = 2*i**2 - 8*i - 4. Calculate the remainder when w(-7) is divided by g.
48
Let r = -10400 + 12561. What is the remainder when r is divided by 360?
1
Calculate the remainder when ((16/(-6))/((-1)/5))/(60/8550) is divided by 15.
10
Suppose 2*c + 64 = -5*o + 4*c, -c = -2*o - 26. Let t = 33 + o. Let n = -166 + 179. What is the remainder when t is divided by n?
8
Let k(c) = 19*c + 259. Let g be k(-14). Calculate the remainder when 84 is divided by (g + (-12)/(-8))*(-16)/2.
40
What is the remainder when (1 + (-24)/40)*(12 + 943) is divided by 24?
22
Suppose -3*b + 6*j = 4*j - 49, 0 = 2*j + 10. What is the remainder when 779 is divided by b?
12
Suppose 4*t + 0*t = -16, -2*t = 4*r - 700. Suppose 3*w - 3*l = r, -3*w = 6*l - 7*l - 171. What is the remainder when w is divided by 3?
2
Let g = 649 - 478. Let s = g - 124. What is the remainder when s is divided by 28?
19
Let x = 2755 + -2294. What is the remainder when x is divided by 116?
113
Let t = -2 - -4. Let z(b) = 24*b + 1. What is the remainder when z(t) is divided by ((-13)/9)/((-84)/756)?
10
Let f(a) = a**3 + a**2 - 55*a + 44. Calculate the remainder when 5449 is divided by f(7).
43
Suppose 47*s = m + 45*s - 182, -s = -2*m + 367. What is the remainder when 1086 is divided by m?
166
Let h(r) = r**2 - 5*r - 12. Let u be h(7). Let j(i) = 7*i**2 - 6*i + 3. Let v be j(u). Let b = v - 16. Calculate the remainder when 7 is divided by b.
1
Let k = 193 + -191. Calculate the remainder when 77 is divided by 2/(-1) - (-25 + -1 - k).
25
What is the remainder when 99 is divided by (-48)/(-28)*(-119)/(-51)*11?
11
Let f(j) = j**3 + 15*j**2 + 47*j + 12. Let v be f(-4). Suppose 2*h = -0*h + 36. Suppose 0 = 3*p - v*p - h. What is the remainder when p is divided by 2?
0
Let m(w) = w**2 - 20*w + 28. Let p(b) = -13*b - 3. Let u be p(1). Let v = 6 - u. Calculate the remainder when m(v) is divided by 19.
15
Let r be -7*(-12 + 3 + 4). Suppose i + 4*l = 47, -26 = -3*i + 4*l + r. Suppose -4*k + 37 + i = 0. What is the remainder when 127 is divided by k?
15
Let k(y) = y**2 + 23*y + 132. Let u be k(-17). Suppose -u*a + 728 = -682. Calculate the remainder when a is divided by 10*(3/(-3))/(-1).
7
Suppose -110*b + 2*u = -106*b - 76, -2*b - 3*u = -38. What is the remainder when (-1988)/(-5) - 6/10 is divided by b?
17
Suppose -7*l - 27*l + 24750 = -9*l. What is the remainder when 993 is divided by l?
3
Let p = 65 + -58. Let w(s) = 2*s**3 - 12*s**2 - 9*s + 6. Let x = -12 - -21. What is the remainder when w(p) is divided by x?
5
Suppose 18*j = -35*j + 14*j + 37440. Calculate the remainder when j is divided by 242.
234
Suppose 34 = z - 24. Suppose -5*y + 38 = 3*k, y + 4*y = 3*k - z. Calculate the remainder when 43 is divided by k.
11
Let x be (0/2)/(4 - 9). Let o(r) = -r + 13. What is the remainder when o(x) is divided by 9?
4
Suppose -340 + 178 = -2*z. Suppose -77*d + z*d - 120 = 0. What is the remainder when 83 is divided by d?
23
Suppose -13*k + 16*k = 9. Suppose 0 = -2*y - k*c + 497, -2*y + 2*c - 498 = -4*y. What is the remainder when y is divided by 12?
10
Suppose -3*n = o - 116 - 50, 100 = 2*n - 2*o. Suppose -2*k - n + 178 = 0. What is the remainder when k is divided by (-2)/(-7) - 304/(-14)?
18
Suppose x + 5*b + 21 = 0, x + 4*b = 9*b + 29. Suppose -37 = -x*k + 87. Calculate the remainder when k is divided by 23.
8
Let s(p) be the second derivative of p**4/6 + 23*p**3/6 + 9*p**2/2 - 13*p. Calculate the remainder when 236 is divided by s(-13).
44
Suppose 0 = -4*r + 2 + 2. Suppose 171 - 1360 = -18*