All these are identical (unless there are typos)...
x^2 + ((2-y)/3)x + 3 = 0
x^2 + (2/3-y/3)x + 3 = 0
x^2 + (\frac{2}{3}-\frac{y}{3}) x + 3 = 0
x^2 + \frac{(2-y)}{3}x + 3 = 0
x^2 + \frac{(2-y)}{3} * x + 3 = 0
3 + x^2 + \frac{(2-y)}{3}x + 5 = 2
What I need is something that could take any two of these equations
and tell me if they are equal or not. I could possibly do some LaTeX
parsing beforehand to make it look like a regular equation if need be.
Note that in the above examples there are differences not only in
polynomial order, but in the way the fractions are written. Also, the
above is just one set of equivalent equations. I would need this to
work with any expression or equation.
I would think something like Sage's api stuff could do something like
this. However, I don't know how to implement it. I played with Sage
some, but I could never get it to compare properly. I just kept
getting syntax errors.
Anyone have any thoughts on how to solve this issue?
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