| Arbitrary precision arithmetic | GMP, MPFR, MPFI, NTL . . . | |
| Algebra | GAP, Maxima, Singular | |
| Algebraic geometry | Singular, Macaulay2 (optional) | |
| Arithmetic geometry | PARI, NTL, mwrank, ecm . . . | |
| Symbolic computation | Maxima, Sympy | |
| Exact linear algebra | Linbox, IML | |
| Numerical linear algebra | GSL, Scipy, Numpy | |
| Combinatorics | Symmetrica, Lrcalc, PALP, Coxeter 3 | |
| Graph theory | NetworkX, graphviz (optionel) | |
| Group theory | GAP |