Simplest way to solve mathematical equations in Python

Question

I want to solve a set of equations, linear, or sometimes quadratic. I don\'t have a specific problem, but often, I have been in this situation often.

It is simple to

Answer 1

For inexact solutions, read up on linear programming and sequential quadratic optimization, then search for Python libraries that performs such optimizations for you.

If the equations require integer solutions, you should search for Diophantine equation solvers for Python.

Just note that using a simple solver for Project Euler is missing the point. The fun, and educational part, is learning how to solve it yourself using primitive methods!

Answer 2

On second thoughts, I went through sage in detail and clearly it is the best math free software available.

Just some of the different python math related libraries, it integrates is absolutely awesome.

Mathematics packages contained in Sage:

Algebra GAP, Maxima, Singular 
Algebraic Geometry  Singular
Arbitrary    Precision
Arithmetic  GMP, MPFR, MPFI,    NTL
Arithmetic Geometry PARI, NTL,      
mwrank, ecm Calculus    Maxima, SymPy, 
GiNaC Combinatorics Symmetrica,     
Sage-Combinat Linear Algebra    Linbox,
IML Graph Theory    NetworkX Group     
Theory  GAP Numerical
computation GSL,    SciPy, NumPy,
ATLAS

Other packages contained in Sage:

Command line    IPython Database    ZODB,
Python Pickles, SQLite Graphical
Interface   Sage Notebook, jsmath
Graphics    Matplotlib, Tachyon3d, GD,
Jmol Interactive 
programming language  Python 
Networking  Twisted

Answer 3

sympy is exactly what you're looking for.