I actually didn't think this assignment was too bad, until i got around to having to solve
\math{\frac{1-X}{X^2}=\frac{3.84 \eta}{4} \left(\frac{k T}{m_e c^2}\right)^{3/2} \exp{\left(\frac{Q}{k T}\right)}}
which not even Maple liked to solve, i told me \math{1.440994055 \times 10^{16]}...