\frac{dx_{1}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{2} \cdot k_{56} \cdot x_{2} - k_{3} \cdot x_{1}\right) + -1 \cdot k_{1} \cdot k_{38} \cdot x_{1}\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{1} \cdot \left(k_{2} \cdot k_{56} \cdot x_{2} - k_{3} \cdot x_{1}\right) + 1 \cdot k_{1} \cdot k_{52} + -1 \cdot k_{1} \cdot k_{53} \cdot x_{2}\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{4} \cdot x_{1} \cdot x_{4} / \left(k_{5} + x_{4}\right) + -1 \cdot k_{1} \cdot k_{6} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{26} \cdot x_{13} \cdot x_{3} / \left(k_{27} + x_{3}\right)\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{1} \cdot k_{4} \cdot x_{1} \cdot x_{4} / \left(k_{5} + x_{4}\right) + 1 \cdot k_{1} \cdot k_{6} \cdot x_{3} + 1 \cdot k_{1} \cdot k_{26} \cdot x_{13} \cdot x_{3} / \left(k_{27} + x_{3}\right)\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{3} \cdot x_{6} / \left(k_{8} + x_{6}\right) + -1 \cdot k_{1} \cdot k_{9} \cdot k_{59} \cdot x_{5} / \left(k_{10} + x_{5}\right)\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{1} \cdot k_{7} \cdot x_{3} \cdot x_{6} / \left(k_{8} + x_{6}\right) + 1 \cdot k_{1} \cdot k_{9} \cdot k_{59} \cdot x_{5} / \left(k_{10} + x_{5}\right)\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot k_{11} \cdot x_{5} \cdot x_{8} / \left(k_{12} + x_{8}\right) + -1 \cdot k_{1} \cdot k_{13} \cdot k_{58} \cdot x_{7} / \left(k_{14} + x_{7}\right) + -1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot x_{7} / \left(k_{37} + x_{7}\right)\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{1} \cdot k_{11} \cdot x_{5} \cdot x_{8} / \left(k_{12} + x_{8}\right) + 1 \cdot k_{1} \cdot k_{13} \cdot k_{58} \cdot x_{7} / \left(k_{14} + x_{7}\right) + 1 \cdot k_{1} \cdot k_{36} \cdot x_{17} \cdot x_{7} / \left(k_{37} + x_{7}\right)\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{1} \cdot k_{15} \cdot x_{7} \cdot x_{10} / \left(k_{16} + x_{10}\right) + -1 \cdot k_{1} \cdot k_{17} \cdot k_{57} \cdot x_{9} / \left(k_{18} + x_{9}\right) + 1 \cdot k_{1} \cdot k_{50} \cdot x_{24} \cdot x_{10} / \left(k_{51} + x_{10}\right)\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{1} \cdot k_{15} \cdot x_{7} \cdot x_{10} / \left(k_{16} + x_{10}\right) + 1 \cdot k_{1} \cdot k_{17} \cdot k_{57} \cdot x_{9} / \left(k_{18} + x_{9}\right) + -1 \cdot k_{1} \cdot k_{50} \cdot x_{24} \cdot x_{10} / \left(k_{51} + x_{10}\right)\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{1} \cdot k_{19} \cdot x_{9} \cdot x_{12} / \left(k_{20} + x_{12}\right) + -1 \cdot k_{1} \cdot k_{21} \cdot k_{57} \cdot x_{11} / \left(k_{22} + x_{11}\right)\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(-1 \cdot k_{1} \cdot k_{19} \cdot x_{9} \cdot x_{12} / \left(k_{20} + x_{12}\right) + 1 \cdot k_{1} \cdot k_{21} \cdot k_{57} \cdot x_{11} / \left(k_{22} + x_{11}\right)\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{1} \cdot k_{23} \cdot x_{11} \cdot x_{14} / \left(k_{24} + x_{14}\right) + -1 \cdot k_{1} \cdot k_{25} \cdot x_{13}\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(-1 \cdot k_{1} \cdot k_{23} \cdot x_{11} \cdot x_{14} / \left(k_{24} + x_{14}\right) + 1 \cdot k_{1} \cdot k_{25} \cdot x_{13}\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{1} \cdot k_{28} \cdot x_{1} \cdot x_{16} / \left(k_{29} + x_{16}\right) + 1 \cdot k_{1} \cdot k_{30} \cdot x_{5} \cdot x_{16} / \left(k_{31} + x_{16}\right) + -1 \cdot k_{1} \cdot k_{32} \cdot x_{15}\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{1} \cdot k_{28} \cdot x_{1} \cdot x_{16} / \left(k_{29} + x_{16}\right) + -1 \cdot k_{1} \cdot k_{30} \cdot x_{5} \cdot x_{16} / \left(k_{31} + x_{16}\right) + 1 \cdot k_{1} \cdot k_{32} \cdot x_{15}\right) / k_{1}\\
\frac{dx_{17}}{dt} = \left(1 \cdot k_{1} \cdot k_{33} \cdot x_{15} \cdot x_{18} / \left(k_{34} + x_{18}\right) + -1 \cdot k_{1} \cdot k_{35} \cdot x_{17}\right) / k_{1}\\
\frac{dx_{18}}{dt} = \left(-1 \cdot k_{1} \cdot k_{33} \cdot x_{15} \cdot x_{18} / \left(k_{34} + x_{18}\right) + 1 \cdot k_{1} \cdot k_{35} \cdot x_{17}\right) / k_{1}\\
\frac{dx_{19}}{dt} = \left(1 \cdot k_{1} \cdot k_{38} \cdot x_{1} + 1 \cdot k_{1} \cdot k_{53} \cdot x_{2}\right) / k_{1}\\
\frac{dx_{20}}{dt} = \left(1 \cdot k_{1} \cdot k_{39} \cdot x_{1} \cdot x_{21} / \left(k_{40} + x_{21}\right) + -1 \cdot k_{1} \cdot k_{41} \cdot x_{20}\right) / k_{1}\\
\frac{dx_{21}}{dt} = \left(-1 \cdot k_{1} \cdot k_{39} \cdot x_{1} \cdot x_{21} / \left(k_{40} + x_{21}\right) + 1 \cdot k_{1} \cdot k_{41} \cdot x_{20}\right) / k_{1}\\
\frac{dx_{22}}{dt} = \left(1 \cdot k_{1} \cdot k_{42} \cdot x_{20} \cdot x_{23} / \left(k_{43} + x_{23}\right) + -1 \cdot k_{1} \cdot k_{44} \cdot k_{60} \cdot x_{22} / \left(k_{45} + x_{22}\right)\right) / k_{1}\\
\frac{dx_{23}}{dt} = \left(-1 \cdot k_{1} \cdot k_{42} \cdot x_{20} \cdot x_{23} / \left(k_{43} + x_{23}\right) + 1 \cdot k_{1} \cdot k_{44} \cdot k_{60} \cdot x_{22} / \left(k_{45} + x_{22}\right)\right) / k_{1}\\
\frac{dx_{24}}{dt} = \left(1 \cdot k_{1} \cdot k_{46} \cdot x_{22} \cdot x_{25} / \left(k_{47} + x_{25}\right) + -1 \cdot k_{1} \cdot k_{48} \cdot k_{58} \cdot x_{24} / \left(k_{49} + x_{24}\right) + 1 \cdot k_{1} \cdot k_{54} \cdot x_{5} \cdot x_{25} / \left(k_{55} + x_{25}\right)\right) / k_{1}\\
\frac{dx_{25}}{dt} = \left(-1 \cdot k_{1} \cdot k_{46} \cdot x_{22} \cdot x_{25} / \left(k_{47} + x_{25}\right) + 1 \cdot k_{1} \cdot k_{48} \cdot k_{58} \cdot x_{24} / \left(k_{49} + x_{24}\right) + -1 \cdot k_{1} \cdot k_{54} \cdot x_{5} \cdot x_{25} / \left(k_{55} + x_{25}\right)\right) / k_{1}\\
\frac{dx_{26}}{dt} = 0\\
\frac{dx_{27}}{dt} = 0\\
\frac{dx_{28}}{dt} = 0\\
\frac{dx_{29}}{dt} = 0\\
\frac{dx_{30}}{dt} = 0\\
\frac{dx_{31}}{dt} = 0