y(k) = 22*k - 173. Let i be y(8). Suppose z - 32 + 14 = 4*n, i*z - 4*n = 78. What is the remainder when 269 is divided by z?
29
Suppose 13442*q - 13483*q = -779. Let i be 174*(2 - 0)/2. Let z = i + -122. What is the remainder when z is divided by q?
14
Let k(o) = -616*o + 125. What is the remainder when k(-2) is divided by 14?
13
Let y be (-1 - -5)*(4 + -3). Suppose -y*z + g = -133, -5*z + 5*g - 53 + 238 = 0. Suppose 0 = 7*p - 7123 + 7032. What is the remainder when z is divided by p?
6
Let n = 165 - 163. Suppose -4*i = -n*l + 7*l - 140, 106 = 3*l - 2*i. Let w(s) = -64*s - 3. What is the remainder when w(-2) is divided by l?
29
Suppose 16*d - 204 = 308. Suppose -d*g = -28*g - 28. Let f(x) = -2*x**3 - 4*x**2 - 3*x - 1. What is the remainder when f(-3) is divided by g?
5
Let c = 64 - -42. Suppose -251*f + 13200 = -11*f. What is the remainder when c is divided by f?
51
Suppose 289 = -i + 3*a + 3980, -4*i + 5*a = -14729. Calculate the remainder when i is divided by 80.
76
Suppose 196*b + 19124 = 66502 + 51014. Calculate the remainder when b is divided by 66.
40
Suppose -5*t = p - 206, 5*t = 5*p + 280 - 1460. What is the remainder when 2767 is divided by p?
226
Let s(r) = 6*r**3 + 33*r**2 - 116*r - 35. Let y(v) = -v**3 - 7*v**2 + 23*v + 7. Let p(m) = 2*s(m) + 11*y(m). Calculate the remainder when 66 is divided by p(9).
32
Suppose -2*c - 5*i = -21588, 4*i + 32382 = 3*c + 9*i. What is the remainder when c is divided by 177?
174
Calculate the remainder when (-18 - -3)*1/(-2)*(145 + -5) is divided by 82.
66
Suppose -4*j + 10 = -5*s - 14, 0 = -4*s + 3*j - 19. Let n(u) = -2*u**3 - 6*u**2 - 6*u - 6. Calculate the remainder when 97 is divided by n(s).
47
Suppose 0 = -4*t + 4*d + 760 - 180, -5*t - 4*d = -689. Suppose g - 3 = t. What is the remainder when g is divided by 21?
18
Suppose 4*x - x - 5688 = 0. Suppose x = -14*c + 26*c. What is the remainder when c is divided by 23?
20
Let r(i) = 18*i**2 + i. Let d be 6/(-15) - (-21)/15. Suppose 17*q = -42*q + 10030. What is the remainder when q is divided by r(d)?
18
Suppose 190*v = 194*v + 872. Let o = v - -226. Calculate the remainder when ((-14)/(-4))/(2/12) is divided by o.
5
What is the remainder when ((-39)/(-104) - 6/(-48))*538 is divided by 16?
13
Let c = 88 + -88. Suppose -2*a + 5*a - 69 = c. Let s = a - -28. Calculate the remainder when s is divided by 6.
3
Suppose -4*r = -i - 627, 927*i = -4*r + 938*i + 697. Suppose 0 = 4*u + 15 - 3, w - 18 = -u. What is the remainder when r is divided by w?
8
Suppose -766 = -28*x + 46. Suppose -3*z - h = -25, -12*h = 3*z - 10*h - x. What is the remainder when 10 is divided by z?
3
Suppose 40*u = 27*u - 73*u + 23908. Calculate the remainder when u is divided by 54.
8
Let c = 1961 - 1934. What is the remainder when 1133 is divided by c?
26
Let a(u) = u**2 + 138*u - 4586. Calculate the remainder when 1858 is divided by a(-166).
60
Let p = -49 - -55. Suppose 169 = p*g - 5. Let t = g + -4. What is the remainder when t is divided by 9?
7
Suppose -2*x + 3*b - 33 = 0, 20 = -2*x + 4*b - 12. Let v = x - -20. What is the remainder when 9 is divided by v/(-6) - 117/(-27)?
1
Let o(p) = -19*p**3 - 70*p**2 - 289*p + 3. What is the remainder when o(-4) is divided by 8?
7
What is the remainder when 159 is divided by 21 - (-13)/((-130)/90)?
3
Suppose -2*f - o = -335, -5 = -8*o + 7*o. Suppose 3*d - 8*d = -f. Calculate the remainder when 327 is divided by d.
30
Suppose -2*m - 2 = -5*t + 3, -m = 3*t - 14. Suppose 0 = -t*y - 2*y + 70. Suppose o + o = q - y, 5*o = 0. Calculate the remainder when 25 is divided by q.
11
Let k = 128 - -451. Suppose 0 = 2*y - 7*f + 4*f - k, 0 = -5*y + 3*f + 1443. Calculate the remainder when y is divided by 58.
56
Let z(k) = -26*k**2 - 607*k - 121. Calculate the remainder when 1180 is divided by z(-23).
62
Let q = -19844 - -19880. What is the remainder when 5651 is divided by q?
35
Let a(t) = 7*t**2 - 3*t - 6. Let c(u) = -25 - 44*u**2 + 29*u**2 - 11*u + u**3 + 3*u - 4*u. What is the remainder when a(5) is divided by c(16)?
37
What is the remainder when 1973 is divided by (29/3 + 0)/((-20)/(-24 + -96))?
1
Let i(r) = -r**2 - 32*r + 1. Let v(m) = -2*m**2 - 17*m - 9. Let p(w) = -i(w) + v(w). Let t be 1*(30/2 - 2). What is the remainder when 46 is divided by p(t)?
14
Let r(u) = -22*u**2 - 40*u + 12. Let j be r(-5). Let o = 439 + j. Calculate the remainder when o is divided by 105/2 - 15/10.
50
Let w be 2790 - (0 - -2) - 0. Suppose 164 = -8*m + w. Calculate the remainder when m is divided by 30.
28
Let d be (152/114)/((-4)/102). Suppose 0*l - 2*l - 46 = -2*n, 5*l = 4*n - 112. Let b = l - d. Calculate the remainder when b is divided by 8.
6
Suppose 4*k + 12 = 2*d, 36 = 4*d + k - 6. What is the remainder when 34 is divided by 4/(-8)*d + 10?
4
Let v = 2299 + -2225. Calculate the remainder when 106 is divided by v.
32
Suppose 5*r = -5*x + 520, 31*r - 32*r = 5*x - 88. What is the remainder when 877 is divided by r?
13
Let f = 12789 - 12785. What is the remainder when 3834 is divided by f?
2
Let d(n) = -24*n - 39. Calculate the remainder when 453 is divided by d(-2).
3
What is the remainder when 200 is divided by 4/(-6) - 286/(-78) - -9?
8
Suppose -17*q - 3411 = -4165 - 6369. Calculate the remainder when q is divided by 80.
19
Let l(u) = -11*u**2 + 13*u + 70. Let x be l(-6). Let n = 423 + x. What is the remainder when 719 is divided by n?
16
Let s = 34 + 9. Suppose 3*v = 6*v + 2*o - 423, v - 148 = -3*o. Suppose v*c = 136*c + 45. What is the remainder when s is divided by c?
13
Let n = 162 + -158. Suppose 5*k - 250 - 172 = b, 5*k + n*b - 412 = 0. What is the remainder when k is divided by 73?
11
Let o = -18370 - -18429. Calculate the remainder when o is divided by 52.
7
Suppose 10*z - 13 = 7. Suppose 0 = -0*c + 4*c - z*h - 60, 2*h - 18 = -2*c. Let r = 9 - 1. What is the remainder when c is divided by r?
5
Let p(u) = u**3 - 10*u**2 + 8. Let i be p(9). Let m = i + 91. Suppose 4*j - 6*j = -m. What is the remainder when 24 is divided by j?
6
Let f(o) = 21*o**3 + 9*o**2 - 17*o + 7. Calculate the remainder when 29 is divided by f(1).
9
Let y(o) = 381*o - 5799. Calculate the remainder when y(22) is divided by 18.
9
Let z(h) = -7*h**2 + 66*h + 173. What is the remainder when z(9) is divided by 60?
20
Let c be (4*14)/(-3*(-7)/(-21)). Let y = c - -66. Calculate the remainder when 23 is divided by y.
3
Suppose 4*k - m = 128, 0*k + 46 = 2*k - 5*m. Let g = -3 + k. Let x = 35 - g. What is the remainder when 15 is divided by x?
0
Let k(t) be the second derivative of 77*t**5/20 - t**3/6 + t**2/2 + 3*t. Calculate the remainder when k(1) is divided by 868/22 + (-470)/1034.
38
Let k = 4588 - 4480. Calculate the remainder when 207 is divided by k.
99
Let n(j) = 2*j**2 - 32*j - 40. Calculate the remainder when 885 is divided by n(19).
71
Suppose -163*g = -165*g + 4. Suppose -493 + 37 = -g*x. What is the remainder when x is divided by 14?
4
Suppose 4*t + 9 - 29 = 4*z, 0 = 4*t - z - 20. Suppose 22 = l + d, -2*d - 122 = -t*l - d. Calculate the remainder when 78 is divided by l.
6
Let x(a) = 2*a**2 - 89*a + 414. Calculate the remainder when 846 is divided by x(5).
10
Let j(t) = -t**3 + 15*t**2 + t - 13. Suppose -3 = 4*x - 355. Let o be (-3)/(-4) + 1254/x. What is the remainder when 6 is divided by j(o)?
0
Let h = -189 + 265. Suppose 0 = -5*w + 54 + h. Calculate the remainder when w is divided by 9.
8
What is the remainder when 1452 is divided by (0 - 4)*(414/18 - 51)?
108
Calculate the remainder when (22 + -2)/((-41)/(-2255)) is divided by 185.
175
Suppose 0 = 5*p - 8*p + q + 111, 0 = -2*q. Let a(k) = 7*k**2 - 3*k + 2. Let z be a(1). Calculate the remainder when z/4*-1*(-12 + -60) is divided by p.
34
Suppose -4*s - 118 = -3*s + 3*r, 5*r = s + 86. Let u = s - -109. Suppose 0 = -3*c, -d - 20 = -u*d + c. Calculate the remainder when 22 is divided by d.
2
Suppose -386*j + 367*j + 5833 = 0. What is the remainder when 787 is divided by j?
173
Calculate the remainder when 2 + -18 - (-51 - 2073) is divided by 57.
56
Suppose -38*w + 303*w - 395405 = 28595. Calculate the remainder when w is divided by 320.
0
Suppose -9*q + 15*q - 7142 = 2*c, -5*q - 2*c = -5959. Calculate the remainder when q is divided by 127.
48
Let w(v) be the second derivative of 0 + 1/3*v**3 + 2*v**2 - 17*v + 1/12*v**4. Calculate th