I was just wondering whether there's an easy to see reason for this expression to take a very long time to evaluate:
Solve[((z - 2)^(14/5) + (z + 3)^(7/10))/(z - 1)^(7/2) == c*x, z]
Actually Mathematica didn't spit out a solution for about twenty minutes now, but interestingly it won't say it's unsolvable, or anything. Naively I would think Mathematica recognizes unsolvable problems, or problems that would take an irreasonable time to solve and at least warn the user. But apparently not.
Finally the kernel shut down due to insufficient memory.
So what's up with this?