\begin{array}{rcl} \alpha & = & \Delta^{ P_{ 2 } } \\ \frac{ d \Gamma }{ dt } & = & \frac{ \left(6 + Q_{ \lambda }\right) }{ \beta } \\ \frac{ d }{ dt } \beta^{ 4 } & = & 99 \\ 5 & = & \log_{10}{ \beta } \\ Q_{ \lambda } & = & \sqrt{ \frac{ \Delta \cdot \alpha }{ 3453 } } \\ \end{array}