It would be nice to use this:

https://github.com/mattpap/mathematica-parser/blob/cc38fd2aed8debfe0e4f08453d8f24b70784c494/src/main/scala/MathematicaParser.scala

Unfortunately, being written in Scala, it's really hard to include it into 
Python.

Anyways, the precedence operators are very clear:
https://github.com/mattpap/mathematica-parser/blob/cc38fd2aed8debfe0e4f08453d8f24b70784c494/src/main/scala/MathematicaParser.scala#L82

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