-2)/(-8 - (-62)/8). Suppose -n - 7 = 4*j, -3*n + d*j + 25 = -2*n. Calculate the remainder when 167 is divided by n.
5
Suppose -6*c - 16 = 4*r - 7*c, -c = -5*r - 21. What is the remainder when (-3)/(r - 66/(-15)) + 150 is divided by 21?
8
Let g(m) = 12*m**2 - 5*m + 47. Let t be g(19). Suppose 12*f - 24*f + t = 0. What is the remainder when f is divided by 30?
27
Let p(q) be the first derivative of -3*q**2/2 + 5*q + 21. What is the remainder when 57 is divided by p(-3)?
1
Suppose 10*f - 3329 + 599 = 0. Suppose -5*k - 4*a = -2*k - 28, 5*k + 5*a = 50. Calculate the remainder when f is divided by k.
9
Suppose 84 = 4*z + z - 3*j, -2*j - 21 = -z. Calculate the remainder when 370/4*(-3232)/(-2020) is divided by z.
13
Let f = 14 - -9. Suppose 0 = -4*o - k + 634, -3*o + 184 = -2*k - 286. Calculate the remainder when o is divided by f.
20
Let c = -1229 - -1251. Calculate the remainder when 42 is divided by c.
20
Let g(n) = n**2 - 11*n + 27. Let b be g(10). Let k = 37 - b. Calculate the remainder when 1245/12 - (-5)/k is divided by 9.
5
Let f = -44287 - -44316. Calculate the remainder when 1681 is divided by f.
28
Let c = -13 + 18. Suppose 0*j - d + 275 = 5*j, 0 = -2*j - c*d + 133. Calculate the remainder when 159 is divided by j.
51
Let n = 9829 - 9612. Calculate the remainder when n is divided by 12.
1
Let v(q) be the third derivative of q**4/6 + 11*q**3/6 + 14*q**2. Let u be v(10). Let g = u - 44. What is the remainder when g is divided by 4?
3
Suppose 89 = 6*h + 41. Suppose -b + 666 = h*b. Calculate the remainder when b is divided by 38.
36
Let m = -849 + 1013. What is the remainder when m is divided by 164?
0
Let i be (-522)/(-7) + 3/7. Let k = 98 - i. Calculate the remainder when ((-10)/3)/(19/(-228)) is divided by k.
17
Suppose -4*i - 2*s = -22, 4*i = -0*i - 3*s + 17. Suppose -3*b - i*x = -3*x - 90, -55 = -2*b - 5*x. What is the remainder when b is divided by 10?
5
Let r = 97 + -65. What is the remainder when r is divided by (-46)/(-69) + (3/(-4))/(9/(-136))?
8
Let r = 5847 - 5839. What is the remainder when 779 is divided by r?
3
Let d(k) = -k**2 + 5*k - 4. Let g be d(4). Suppose -2*y + 70 = -g*y. Suppose -19*r - 13*r + 2144 = 0. What is the remainder when r is divided by y?
32
Let f be (-220)/33*3/(-2). Let l(i) = 2*i - 15. Let k be l(f). Suppose -109 + 18 = -5*p + 2*m, -m = k*p - 82. Calculate the remainder when 61 is divided by p.
10
Let t(x) = 2*x**2 - 5*x + 4. Let f = -18887 - -19032. What is the remainder when f is divided by t(3)?
5
Let v(p) = -p**2 - 46*p - 77. Let s(d) = d**2 + 44*d + 76. Let c(g) = -7*s(g) - 6*v(g). What is the remainder when c(-23) is divided by 23?
22
Suppose 44*m - 18 = 38*m. Suppose 4*v + 0*v - 2*n = 82, 5*v - 104 = n. Suppose 0 = -g + m*t, 5*g - v = -3*t + 51. What is the remainder when 24 is divided by g?
0
Let o = -16726 - -18425. Calculate the remainder when o is divided by 46.
43
Let v(o) = -o**3 + 95*o**2 - 355*o - 5. What is the remainder when 306 is divided by v(4)?
27
Let l(b) be the second derivative of -b**5/20 + b**4 + 8*b**3 - 41*b**2/2 + 3*b - 2. Calculate the remainder when 24 is divided by l(15).
0
Let b = 801 + -657. Let z = 87 - 66. What is the remainder when b is divided by z?
18
Let h be 58*(-5)/10 - -1. Let z = h - -32. Suppose 4*y + 0 = -4*l + 20, -z*y = -l + 20. Calculate the remainder when l is divided by 5.
3
Suppose 0 = 23*i - 1738 - 1252. Let m = i - 63. Calculate the remainder when m is divided by 40.
27
Let i(u) = -12*u**2 - 6*u**2 + 6 - 2*u**3 + 16*u**2 + u. Suppose 0 = 3*d - 27 - 3. What is the remainder when i(-3) is divided by d?
9
Suppose -o - 2*z - 29 = 0, 0 = 5*o - z + 46 + 44. Let x = o + 32. Let d = 28416 + -28382. What is the remainder when d is divided by x?
8
Suppose -3*k + 2*q + 12 - 43 = 0, -2*k = q + 9. Calculate the remainder when 113 is divided by 24 + (4 - -3)/k.
21
Let m = -2382 - -3071. Calculate the remainder when m is divided by 229.
2
Let w(c) = 4*c**2 - 16*c + 6. Let p be w(4). Suppose 0*a - 5*a + p = 2*d, -d - a + 9 = 0. Calculate the remainder when 111 is divided by d.
7
Suppose 10 + 2 = 4*m. Let v be (-29 - -102)/((-2 - -4)/(-2 - -4)). Suppose -v = -m*c - 25. Calculate the remainder when 46 is divided by c.
14
Calculate the remainder when 384 is divided by 787/4 + 539/(-308).
189
Let b = -606 - -293. Let y = b - -320. What is the remainder when y is divided by (1/(-1))/(4/(-8))?
1
Let g(y) = -3*y**2 + 536*y + 89. What is the remainder when g(0) is divided by (-1)/((-2)/(-6)) + 21?
17
Suppose 29*g - 336 = 15*g. Suppose 2*f - g = -k - 0, -3*f + 53 = 2*k. Calculate the remainder when 98 is divided by k.
30
Let j = -123 - -236. Let v(n) = -n**2 + 3*n + 30. Let w be v(7). Suppose 3*l + w - 71 = 0. What is the remainder when j is divided by l?
21
Let z be 4/10 + (-12)/(-20) - -161. Let l = z - 129. Calculate the remainder when 38 is divided by l.
5
Let s(h) = h + 11. Let d = 55 - 62. Let a be s(d). Suppose 0 = 4*p - 5*l - 56, 4*p + a*l - 72 - 20 = 0. What is the remainder when 75 is divided by p?
18
Suppose -3*z + b + 470 = 2*z, b = -5*z + 460. Suppose 0*y = -3*y + 96. Calculate the remainder when z is divided by y.
29
Let o = -11779 + 11858. Calculate the remainder when o is divided by 9.
7
Suppose -3*b - 5 + 77 = 0. Let u(h) = -h**3 + 49*h**2 - 119*h - 2441. What is the remainder when u(45) is divided by b?
16
What is the remainder when 139 is divided by 152/(-7)*(-1)/(12/42)?
63
Let y(p) = 9*p**2 + 259*p + 260. What is the remainder when y(-30) is divided by 52?
18
Let n = 25 + -18. Let h be -9 + 19 + 1 + -4. Calculate the remainder when 35/h + 6*3 is divided by n.
2
Suppose 728 = 96*y - 94*y + 2*p, 4*y - 3*p - 1498 = 0. Calculate the remainder when y is divided by 47.
41
Let z(m) = 28*m - 21. Let w be z(-5). Let p = -113 - w. Suppose 5*c = 4*j + 78, -4*c = -j + 5*j - p. What is the remainder when 36 is divided by c?
8
Suppose 3*t = -2*q + 68, 112*q = 107*q - 3*t + 152. Suppose 4*u - 1332 = 2*l, -2*u + 6*u + 3*l = 1342. Calculate the remainder when u is divided by q.
26
Suppose 0 = 5*f - g - 1050 - 519, 5 = 5*g. What is the remainder when f is divided by 29?
24
Suppose -5 = -3*x + 5*w + 30, 5*w = 4*x - 45. Suppose 28 = 3*f + x. What is the remainder when 46 is divided by f?
4
Let m = -337 - -339. Suppose o - 3*z - 181 = 21, -5*o + m*z = -1049. Calculate the remainder when o is divided by 38.
21
Suppose 0 = 2*w + 2*w - 372. Suppose 15*j - x = 16*j + 6, j - 5*x = -30. What is the remainder when (w/(-2))/(j/(-16) - 1) is divided by 18?
16
Suppose -159*v + 156*v = 3*m - 5640, 5*m - 2*v = 9379. Calculate the remainder when m is divided by 82.
73
Suppose 64 + 59 = 3*i. Let s = i + -11. Calculate the remainder when 52 is divided by s.
22
Let d(k) = -14*k + 12. Let m be d(12). Let u = 158 - 128. What is the remainder when u is divided by (-1848)/m - (-2)/13?
6
Let h(t) = -78*t - 9660. Calculate the remainder when h(-127) is divided by 53.
34
Suppose 0 = -309*x + 93*x + 4752. Calculate the remainder when x is divided by 11.
0
Suppose -6*c = -7*c + 5. Suppose -21 = -4*r - c. Suppose 0 = 5*s + r*w - 54, -2*s + w + 11 = -8. Calculate the remainder when s is divided by 3.
1
Let c = 8 + -6. Suppose 53*n + 46 = 55*n - 2*o, -2*o - 86 = -4*n. Suppose -c*v = n - 102. Calculate the remainder when v is divided by 14.
13
Let u = -15 + 18. Suppose -u*k - 4 = -22. Let j(i) = -6*i + 76. What is the remainder when j(9) is divided by k?
4
Let o = 3112 + -3079. Calculate the remainder when 1119 is divided by o.
30
Suppose -7*n + 4*n + 3*z = -906, 2*z = 5*n - 1522. Let t = n + -264. What is the remainder when 123 is divided by t?
39
Let u(p) = -p**2 - 11*p + 84. Let b be u(5). Suppose -7*c + b*r - 15 = -8*c, -4*r - 147 = -5*c. Calculate the remainder when 105 is divided by c.
24
Suppose -8*b - 157 = -3*s - 9*b, -3*b = -12. Suppose -22*y = s*y - 3431. Calculate the remainder when 245 is divided by y.
10
Suppose -896 - 624 = 8*r. Let h = 279 + r. Calculate the remainder when h is divided by 23.
20
Let a be (-4)/10 + (-7)/(210/(-2622)). Suppose 5*c = 5*o - 105, o - 5*o = -c - a. Suppose 4*g + 9 = 5*g. What is the remainder when o is divided by g?
4
Let y(g) = 2*g**3 - 2*g + 356. Let h = -8 + 8. Let p be y(h). Let v = -102 + p. Calculate the remainder when v is divided by 51.
50
Let p = 4984