Symbolic algebra. I think you may be confusing numerical scientific computing with symbolic algebra. In the science/math/stats realm the tools you mention (e.g.

Symbolic algebra. I think you may be confusing numerical scientific computing with symbolic algebra. In the science/math/stats realm the tools you mention (e.g. R and python) do numerical computing. They only have symbolic computing as add-on packages (e.g. sympy). Mathematica is the world's most capable symbolic algebra system by a long way. It can also do numerical operations similar to what R and python can do, but I doubt it has the statistical breadth of R.