I think there is a bug in Maple 16 here.

in Maple 16,

printlevel := 25;
fsolve({x^2+2*y^2 = 4, y^2-x^2-1 = 0}, {x, y});

hangs.

But in Maple 14, no problem. The same commands. no hang. Both on windows 7. same PC.

I tried worksheet and document mode, same problem.

--Nasser

How did you obtain the above result?

on my Maple 16, when I issue your fsolve() command, it works fine. But when I added the printlevel := 25; followed by the same fsolve() you have, then Maple hangs! I see the 'Evaluating...' at the bottom left corner, and now I can't do anything. Even stopped the computation by clicking on the red stop button at the top does nothing. Maple hangs. and I had to kill the process.

Very strange. I am using Maple 16 on windows 7. 

--Nasser