Comment #18 on issue 1694 by asmeurer: solve has many issues with fractions
http://code.google.com/p/sympy/issues/detail?id=1694
>>> MASTER
>>> >>> from sympy import *
>>> >>> var('x')
>>> x
>>> >>> solve((3 + x/(1 + x))**(-2),x)
>>> [-1]
>>> And this really is a solution as a look at it's numerator and
>>> denominator will show.
>>> So you should perhaps be more careful about the criteria for concluding
>>> that there is
>>> no solution.
Doesn't that equation have a singularity at -1? I think running
as_numer_denom on an expression like that could
add solutions to the equation (or it could also lose them), because it will
multiply both the numerator and
denominator by the same thing (in this case x-1), but only the numerator
will be considered for a root.
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