Definition of mathematical expression

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According to wikipedia:

"In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, punctuation, grouping, and other aspects of logical syntax."

https://en.wikipedia.org/wiki/Expression_(mathematics)

To me, this definition seems kind of vague, I wonder if there exists a precise definition of "mathematical expression".