cybergeek1943/MathFlow ? reverse-engineered prompt

Build me a Python library for mathematical computing that feels as easy to use as requests, but for algebra and calculus.

I want to be able to create expressions from normal math text or LaTeX, do symbolic operations like simplify, expand, differentiate, and integrate, and also evaluate the same expression numerically without extra setup. It should handle general expressions, polynomials, and rational functions, with nice helpers for roots, solving, Padé approximations, and partial fractions.

Please make the objects behave naturally, so operations return new expressions by default, but I can also switch to a mutable mode when I want in place updates. I’d like a clean printing API too, with pretty output, LaTeX, and code generation. If it helps, look up current docs online for SymPy, NumPy, and SciPy style integration so the interface feels modern and smooth.