I have developed a SymPy tool that allows manipulation of equations (two 
expression equal to each other, e.g. `a*b = c/d`) using as close to 
standard mathematical notation as I could manage. This is primarily meant 
for interactive use when doing manual algebra, but has some potential uses 
as a backend for automatic symbolic manipulations.

While working to make it possible to incorporate this tool into the sympy 
codebase some questions have arisen about how this would be used and thus 
the best way to interface it with sympy. Therefore we need a broader 
community discussion of this tool.

Anybody can try this tool interactively by following this mybinder.org 
link: https://mybinder.org/v2/gh/gutow/Algebra_with_Sympy.git/master. The 
demonstrations of the capabilities are in the Jupyter notebook `Demonstration 
of equation class.ipynb 
<https://hub.gke2.mybinder.org/user/gutow-algebra_with_sympy-zxp0vvy8/notebooks/Demonstration%20of%20equation%20class.ipynb>
`.

We are interested in knowing if people find any of the behavior odd and 
why. In particular we are not sure about the best behavior for 
differentiation and integration, so please look at those sections 
carefully. We could also use input on operations that you would like to 
work that do not and how they should behave.

Please reply to this discussion thread.

Thank you,
Jonathan

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