Comment #6 on issue 2818 by smi...@gmail.com: factor() returns nan
http://code.google.com/p/sympy/issues/detail?id=2818

And shorter still that factors as nan:

    -(1 - 2*(-(-x + 1/x)/(x*(x - 1/x)**2) - 1/(x*(x - 1/x)))/(x*(2*x -
    2/x)))*(-(-x + 1/x)*(-(-x + 1/x)/(x*(x - 1/x)) + 1/x)/(2*x - 2/x) -
    1/x)/(2*x - 2/x - 4/(x**2*(2*x - 2/x))) - (-x + 1/x)*(-(-x +
    1/x)/(x*(x - 1/x)**2) - 1/(x*(x - 1/x)))/(2*x - 2/x)



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