ppose 5*t - r*j - 90 = 0, 0 = 3*t - 3*j - 49 - 8. Suppose -4*f = t - 66. Calculate the remainder when f is divided by 5.
3
Suppose -3*x - 216 = -258. Calculate the remainder when 41 is divided by x.
13
Suppose -2*l + 7*l - 115 = 0. Let b be 1 - 3 - -3 - (7 - 11). Suppose -b*d + 168 = 2*w - d, -3*w + 255 = 5*d. What is the remainder when w is divided by l?
21
Calculate the remainder when (0 + -6)/((-68)/510) is divided by 30.
15
Suppose 0 = -2*p - 2*b + 80, -3*b = -3*p + b + 99. Calculate the remainder when ((-48)/56)/((-6)/1533) is divided by p.
34
Let d = -646 - -679. What is the remainder when 249 is divided by d?
18
Suppose -2776 = -4*a - y, a - 1070 = 2*y - 367. What is the remainder when a is divided by 8?
7
Suppose 12 = 2*c - 10. Let u be (-1)/(4/8) - -2. Suppose -3*l - 32 + 53 = u. What is the remainder when c is divided by l?
4
Let x be 72/42*7*-1. What is the remainder when 22 is divided by x/5*(-30)/12?
4
Let n(p) = -p**2 + 21*p - 79. What is the remainder when 96 is divided by n(6)?
8
Let y be 0 - 346*3/6. Let u = -121 - y. Calculate the remainder when u is divided by 14.
10
Suppose -23 - 19 = 2*b + k, 5*b - 2*k = -96. Calculate the remainder when ((-83)/4)/(5/b) is divided by ((-4)/(-24)*-4)/(20/(-630)).
20
Let v = 1886 + -1304. What is the remainder when v is divided by 65?
62
Let v be 3*-83*(-4)/12. Let g = v + -55. Let a(n) = 3*n + 73. Calculate the remainder when a(-6) is divided by g.
27
Let f(q) = 4*q**3 + 22*q**2 + 24*q - 30. Let i(k) = k**3 + 1. Let p(y) = -f(y) + 5*i(y). What is the remainder when 82 is divided by p(23)?
10
Suppose -4*x - 4 = -5*r, -3*r - 3*x - 4 + 28 = 0. Suppose -4*l - 15 - 47 = -2*o, 0 = -r*o - 3*l + 168. Calculate the remainder when o is divided by 14.
11
Calculate the remainder when 62 is divided by 5/10*-102*2/(-6).
11
Let p = 104 - 74. What is the remainder when 236 is divided by p?
26
What is the remainder when (6/(-7))/((-82)/101311) is divided by 5?
4
Let o = -205 + 235. What is the remainder when o is divided by 17?
13
Let s = -1 + 4. Let u = 62 + -60. Calculate the remainder when 91/14 + (-1)/u is divided by s.
0
Let i(y) = -y**3 - 44*y**2 + 138*y - 91. Calculate the remainder when 180 is divided by i(-47).
30
Let k(y) = -y**3 + 14*y**2 + 80*y + 35. Calculate the remainder when k(18) is divided by 63.
53
Suppose -2*s = -5*j + 2*s + 50, 4*j = 5*s + 49. Calculate the remainder when 56 is divided by j.
2
Suppose -7*o = -2*o + y - 160, 0 = -4*o + 4*y + 152. Let v = o - 10. What is the remainder when 88 is divided by v?
19
Let w = 22 - -23. Suppose a - 6*a = -w. Calculate the remainder when 44 is divided by a.
8
Let m(f) = -f**3 - 2*f - 3. Let p be m(-1). Suppose p = 3*r - 3*q - 44 - 13, -2*r + q = -37. What is the remainder when r is divided by 7?
4
Suppose -f - 4*x + 4 = -18, f - 3*x + 13 = 0. Calculate the remainder when 83 is divided by ((-90)/40)/(f/(-16)) + 3.
20
Let k(b) = b + 10. Let q be k(-6). Suppose -q*n = -3*r - 60, -4*n = r + 25 - 85. Suppose -2*c + n = -39. Calculate the remainder when c is divided by 10.
7
Let i(r) = -2*r**3 + 12*r**2 - 9*r + 10. What is the remainder when 52 is divided by i(5)?
7
Suppose 4*q - 18 = -3*m, -7*m + 3*m = 3*q - 24. Suppose -2*z - 4 = -3*n, n - 3 = 5*z - m. What is the remainder when 2 is divided by z?
0
Suppose -4*r = -4*m - 28, 7 = r + m + 2*m. Suppose -10*y - 29 + 59 = 0. Calculate the remainder when r is divided by y.
1
Let g = 30 + -11. Let i(s) = s**3 - 16*s**2 + s + 24. Let l be i(16). Suppose -v - l + 51 = 0. Calculate the remainder when g is divided by v.
8
Let w(h) = h**3 - 3*h**2 + 6*h - 2. Let t be w(4). Let b = -10 + -11. Let c = b + t. What is the remainder when c is divided by 10?
7
Let k = 274 + -32. Calculate the remainder when k is divided by 64.
50
Calculate the remainder when ((571/2)/1)/(40/80) is divided by 13.
12
Let w(a) = -5*a - 10. Let s be w(-8). Suppose 4*p + p = -s. What is the remainder when 51 is divided by 8/p*81/(-6)?
15
Let w(p) = -p**3 - 4*p**2 - 6*p - 6. Let l be w(-3). Suppose 5*b + 15 = 4*u, 2*u - 4*u = l*b - 35. What is the remainder when u is divided by 6?
4
Suppose -3*c = 5*d + 2*c, d = c + 8. Suppose -5*i + d*i = -15. Calculate the remainder when 24 is divided by i.
9
Suppose 2*t + 618 = 4*t. Suppose 0 = -2*v - v + t. Suppose 5*w + v = 4*g, -6*w + 3*w - 9 = 0. Calculate the remainder when 63 is divided by g.
19
Let r = -51 - -31. Suppose 4*d = 5*t - 432, -2*d - 2*d = 5*t - 448. What is the remainder when (t/r)/(1/(-10)) is divided by 23?
21
Suppose -4*c - 5 + 69 = 4*f, -4*c - 88 = -4*f. What is the remainder when 2030 is divided by f?
16
Suppose -5*n = 4*h - 163, 0 = h - 34*n + 32*n - 44. Let y(q) = 29*q - 8. What is the remainder when y(6) is divided by h?
40
What is the remainder when 71 is divided by 20/(7*(-8)/(-84))?
11
Suppose g + 2*q = 13, -3*q = 5*g - 4*q - 21. Let m(i) = 2*i - 7. Let o be m(g). Suppose -n = o*n - 36. What is the remainder when 15 is divided by n?
6
What is the remainder when 547 is divided by 480/22 - (316/(-44) - -7)?
19
Let b = -1847 + 2109. What is the remainder when b is divided by 261?
1
Let c = 721 + -705. Let m = 194 - 117. Calculate the remainder when m is divided by c.
13
Let g(t) = 84*t. What is the remainder when g(5) is divided by 130?
30
Suppose 0 = 5*l - 3*j - 269, 2*l + 4*j + j = 89. Let x = 66 - l. What is the remainder when 55 is divided by x?
13
Suppose 0 = -3*g + 3*m + 564, -3*g + 32*m + 578 = 36*m. Let r = 39 + -7. What is the remainder when g is divided by r?
30
Let t(h) = 6*h. Suppose 0 = -m - 5*d + 8 + 30, 4*m = 2*d + 86. Calculate the remainder when m is divided by t(2).
11
Suppose 0 = -4*r + 5*i + 221, 19 = -4*i - 1. What is the remainder when r is divided by (-1)/(35/(-581)) + (-6)/(-15)?
15
Suppose 2 = 3*z - 5*y, -4*y - 2 = 2. What is the remainder when 7 is divided by (-10)/(-5) + z - -1?
1
Let z(q) = -q**3 - 5*q**2 + q + 5. Let i(j) = -4*j**3 - 15*j**2 + 3*j + 14. Let l(x) = -2*i(x) + 7*z(x). What is the remainder when l(7) is divided by 23?
20
Suppose -s - 1 = -13. Let r = -1735 - -1782. Calculate the remainder when r is divided by s.
11
Suppose -2*i - 4*p = -54, -7*p = 5*i - 5*p - 95. What is the remainder when i is divided by 6?
5
Let a(c) = 7*c**2 - 24*c**2 - c**3 + 20*c - 36*c + 4. Calculate the remainder when 15 is divided by a(-16).
3
Suppose 4*v + 3*v = 364. Let u = 210 - 135. Suppose -5*l + 80 = -2*m, -4*m + m - u = -5*l. What is the remainder when v is divided by l?
16
Let a be (4/(-5))/((-9)/(-45)). Let s(y) = -2*y**3 - 2*y**2 + 4*y - 4. What is the remainder when s(a) is divided by 13?
11
Suppose -22*a - 3*h = -19*a - 216, 5*a + 4*h - 354 = 0. Suppose 5*o - 115 = -0*o. Calculate the remainder when a is divided by o.
20
Suppose 4*j = -j + 25. Suppose 2*g + 10*t - j*t - 45 = 0, -3*g - 4*t = -50. What is the remainder when 27 is divided by g?
7
Let h = -184 + 227. Calculate the remainder when 130 is divided by h.
1
Suppose -12*f + 16*f - 216 = 0. Suppose 0 = 3*u - 3*q - f, -2*u - 2*q - 5 = -37. Calculate the remainder when 84 is divided by u.
16
Suppose 5*b + 5 = 6*b. Calculate the remainder when 24 is divided by b.
4
Suppose -4*d + 144 = -s, 2 = -2*d + s + 76. What is the remainder when 127 is divided by d?
22
Let y = 447 + -397. What is the remainder when 163 is divided by y?
13
Let n(l) = -7*l**3 + 14*l**2 + 24*l - 7. What is the remainder when 166 + (-1)/((-1)/2) is divided by n(-2)?
54
Suppose 743 = 9*f - 517. Calculate the remainder when 88 is divided by (-560)/(-55) - (f/44 + -3).
8
Calculate the remainder when (-1)/((-2)/(-5))*(-34 + 20) is divided by 12.
11
Let r(z) = z + 8. Let f be r(-6). Suppose 2*s + f*j - 38 = 0, j + 3 + 8 = s. Calculate the remainder when (8 + -15)/(-14) - (-53)/2 is divided by s.
12
Let y(m) = -2*m - 6. Let u be y(-12). Suppose -4*k + 4*q + 22 + 2 = 0, -u = -3*k + 5*q. Calculate the remainder when k is divided by 4.
2
Let g = 29 - 6. Calculate the remainder when 68 is divided by g.
22
What is the remainder when 180/(-16)*576/(-60) is divided by 29?
21
Let i be -2 + 4 + 2 + 50. Suppose 7*p = 10*p - i. What is the remainder when 50 is divided by p?
14
Suppose -27 = -f - 3*u, -2*f = -5*f - u + 121. Let v(r) = -10*r**3 - 2*r**2 - 2*r + 1. What is the remainder when f is divided by v(-1)?
9
Let c = 32 + -19. Suppose 2*