To input " 1/x+1/y-1/xy^2 = 3/4 " in wolframalpha ,It can get the integer solution Integer solution: x = 2,y = 3 How it get?
integer solutions 1/x+1/y-1/xy^2 = 3/4
But to be honest if you plan on doing intensive math I would strongly consider looking into a math package like Mathematica or MatLab.
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