>
> My favorite example: Sage cannot solve x == sqrt(x): 
>
> sage: solve(x == sqrt(x), x) 
> [x == sqrt(x)] 
>

I'm not so sure whether this is really interesting, but since the 
discussion is there, FriCAS does the right thing here:

 (1) -> solve(x=sqrt(x), x)

   (1)  [x= 1,x= 0]
                                    Type: 
List(Equation(Expression(Integer)))

However, in my past experience, I was quite often unsatisfied with FriCAS 
capabilities with respect to solving...

Martin

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