Wasknijper89/CASYMBA ? reverse-engineered prompt

Build me a TI 84 Plus CE calculator app called CASymba that can do basic symbolic math directly from a text input. I want it to simplify expressions, calculate derivatives including higher order and partial derivatives, handle a few integrals, find tangent lines, give Taylor expansions, solve simple first and second order differential equations, and do polynomial division helpers like remainder, quotient, gcd, and simplification. It should also be able to factor some polynomials and factor integers into primes.

Make it feel usable on the calculator, with clear input and output, and support both English and French function names where that makes sense. Follow the existing calculator program style, and if you need to check any TI 84 Plus CE library or build details, look up the current docs online. The important part is that the main symbolic math features work reliably and the program is easy to run from a single CASYMBA command.