I would like to calculate the following two expressions using Wolfram Alpha:
$$z = (x (d^2 + d (4 y - 6) - 8 y^2 + 12 y - 3) + 6 (d - 1) (y - 1) y)/(d^2 - 2 d y + 4 y^2 - 6 y + 3)$$ and
$$w = -(\sqrt3 (d^2 (x + 2 y - 1) - 2 d (x (2 y - 1) + y^2) + x (4 y - 3) - 2 y^2 + 6 y - 3))/(d^2 - 2 d y + 4 y^2 - 6 y + 3)$$
where $$x = 1/2 (-d + \sqrt3 \sqrt{d - 1)^2} - 3)$$ and $$y = 1/2 ((\sqrt3 d^2)/\sqrt{(d - 1)^2} - d - \sqrt3/\sqrt{(d - 1)^2} + 3)$$
so I write in the bar
if x = 1/2 (-d + sqrt(3) sqrt((d - 1)^2) - 3) and y = 1/2 ((sqrt(3) d^2)/sqrt((d - 1)^2) - d - sqrt(3)/sqrt((d - 1)^2) + 3) find z = (x (d^2 + d (4 y - 6) - 8 y^2 + 12 y - 3) + 6 (d - 1) (y - 1) y)/(d^2 - 2 d y + 4 y^2 - 6 y + 3) and w = -(sqrt(3) (d^2 (x + 2 y - 1) - 2 d (x (2 y - 1) + y^2) + x (4 y - 3) - 2 y^2 + 6 y - 3))/(d^2 - 2 d y + 4 y^2 - 6 y + 3)
but I get all the time a message that Wolfram Alpha cannot understand my query...
Any help is really appreciated.