\frac{dx_{1}}{dt} = \left(-1 \cdot k_{17} \cdot x_{1}^{k_{18}} \cdot x_{4}^{k_{19}} \cdot x_{6}^{k_{20}} + -1 \cdot k_{34} \cdot x_{1}^{k_{35}} \cdot x_{2}^{k_{36}} \cdot x_{4}^{k_{37}} \cdot x_{8}^{k_{38}} \cdot k_{114}^{k_{39}} + -1 \cdot k_{64} \cdot x_{1}^{k_{65}} \cdot x_{8}^{k_{66}} \cdot x_{15}^{k_{67}} + -1 \cdot k_{73} \cdot x_{1}^{k_{74}} \cdot x_{2}^{k_{75}} \cdot x_{13}^{k_{76}} + 1 \cdot k_{93} \cdot x_{1}^{k_{94}} \cdot x_{4}^{k_{95}} \cdot x_{8}^{k_{96}} \cdot k_{113}^{k_{97}} \cdot k_{114}^{k_{98}} + -1 \cdot k_{99} \cdot x_{1}^{k_{100}}\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{13} \cdot x_{4}^{k_{14}} \cdot x_{8}^{k_{15}} \cdot k_{114}^{k_{16}} + -1 \cdot k_{24} \cdot x_{2}^{k_{25}} \cdot x_{4}^{k_{26}} \cdot x_{8}^{k_{27}} \cdot k_{114}^{k_{28}} + 1 \cdot k_{34} \cdot x_{1}^{k_{35}} \cdot x_{2}^{k_{36}} \cdot x_{4}^{k_{37}} \cdot x_{8}^{k_{38}} \cdot k_{114}^{k_{39}} + 1 \cdot k_{53} \cdot x_{2}^{k_{54}} \cdot x_{4}^{k_{55}} \cdot x_{7}^{k_{56}} \cdot x_{8}^{k_{57}} + 1 \cdot k_{73} \cdot x_{1}^{k_{74}} \cdot x_{2}^{k_{75}} \cdot x_{13}^{k_{76}} + -1 \cdot k_{81} \cdot x_{2}^{k_{82}} \cdot x_{7}^{k_{83}} \cdot x_{8}^{k_{84}} + -1 \cdot k_{85} \cdot x_{2}^{k_{86}} \cdot k_{114}^{k_{87}}\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{24} \cdot x_{2}^{k_{25}} \cdot x_{4}^{k_{26}} \cdot x_{8}^{k_{27}} \cdot k_{114}^{k_{28}} + -1 \cdot k_{29} \cdot x_{3}^{k_{30}} \cdot x_{4}^{k_{31}}\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{2} \cdot x_{4}^{k_{3}} + -1 \cdot k_{9} \cdot x_{4}^{k_{10}} \cdot x_{9}^{k_{11}} \cdot x_{10}^{k_{12}} + -1 \cdot k_{13} \cdot x_{4}^{k_{14}} \cdot x_{8}^{k_{15}} \cdot k_{114}^{k_{16}} + 1 \cdot k_{17} \cdot x_{1}^{k_{18}} \cdot x_{4}^{k_{19}} \cdot x_{6}^{k_{20}} + -1 \cdot k_{21} \cdot x_{4}^{k_{22}} \cdot x_{8}^{k_{23}} + 1 \cdot k_{29} \cdot x_{3}^{k_{30}} \cdot x_{4}^{k_{31}} + -1 \cdot k_{88} \cdot x_{4}^{k_{89}} \cdot x_{5}^{k_{90}} + 1 \cdot k_{101} \cdot x_{11}^{k_{102}} + 1 \cdot k_{105} \cdot x_{5}^{k_{106}}\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{88} \cdot x_{4}^{k_{89}} \cdot x_{5}^{k_{90}} + -1 \cdot k_{91} \cdot x_{5}^{k_{92}} + -1 \cdot k_{105} \cdot x_{5}^{k_{106}}\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(-1 \cdot k_{4} \cdot x_{6}^{k_{5}} + -1 \cdot k_{17} \cdot x_{1}^{k_{18}} \cdot x_{4}^{k_{19}} \cdot x_{6}^{k_{20}} + 1 \cdot k_{91} \cdot x_{5}^{k_{92}}\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(-1 \cdot k_{58} \cdot x_{4}^{k_{59}} \cdot x_{7}^{k_{60}} + 1 \cdot k_{81} \cdot x_{2}^{k_{82}} \cdot x_{7}^{k_{83}} \cdot x_{8}^{k_{84}}\right) / k_{1}\\
\frac{dx_{8}}{dt} = \left(-1 \cdot k_{49} \cdot x_{8}^{k_{50}} \cdot x_{9}^{k_{51}} \cdot x_{10}^{k_{52}} + -1 \cdot k_{53} \cdot x_{2}^{k_{54}} \cdot x_{4}^{k_{55}} \cdot x_{7}^{k_{56}} \cdot x_{8}^{k_{57}} + 1 \cdot k_{58} \cdot x_{4}^{k_{59}} \cdot x_{7}^{k_{60}} + -1 \cdot k_{61} \cdot x_{8}^{k_{62}} \cdot k_{114}^{k_{63}} + 1 \cdot k_{64} \cdot x_{1}^{k_{65}} \cdot x_{8}^{k_{66}} \cdot x_{15}^{k_{67}} + -1 \cdot k_{68} \cdot x_{4}^{k_{69}} \cdot x_{8}^{k_{70}} + 1 \cdot k_{103} \cdot x_{11}^{k_{104}}\right) / k_{1}\\
\frac{dx_{9}}{dt} = \left(-1 \cdot k_{6} \cdot x_{9}^{k_{7}} \cdot x_{10}^{k_{8}} + 1 \cdot k_{9} \cdot x_{4}^{k_{10}} \cdot x_{9}^{k_{11}} \cdot x_{10}^{k_{12}} + -1 \cdot k_{32} \cdot x_{9}^{k_{33}} + 1 \cdot k_{42} \cdot x_{12}^{k_{43}}\right) / k_{1}\\
\frac{dx_{10}}{dt} = \left(-1 \cdot k_{40} \cdot x_{10}^{k_{41}} + 1 \cdot k_{44} \cdot x_{12}^{k_{45}} + -1 \cdot k_{46} \cdot x_{9}^{k_{47}} \cdot x_{10}^{k_{48}} + 1 \cdot k_{49} \cdot x_{8}^{k_{50}} \cdot x_{9}^{k_{51}} \cdot x_{10}^{k_{52}}\right) / k_{1}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{21} \cdot x_{4}^{k_{22}} \cdot x_{8}^{k_{23}} + 1 \cdot k_{68} \cdot x_{4}^{k_{69}} \cdot x_{8}^{k_{70}} + -1 \cdot k_{101} \cdot x_{11}^{k_{102}} + -1 \cdot k_{103} \cdot x_{11}^{k_{104}}\right) / k_{1}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{6} \cdot x_{9}^{k_{7}} \cdot x_{10}^{k_{8}} + -1 \cdot k_{42} \cdot x_{12}^{k_{43}} + -1 \cdot k_{44} \cdot x_{12}^{k_{45}} + 1 \cdot k_{46} \cdot x_{9}^{k_{47}} \cdot x_{10}^{k_{48}}\right) / k_{1}\\
\frac{dx_{13}}{dt} = \left(1 \cdot k_{2} \cdot x_{4}^{k_{3}} + 1 \cdot k_{32} \cdot x_{9}^{k_{33}} + -1 \cdot k_{73} \cdot x_{1}^{k_{74}} \cdot x_{2}^{k_{75}} \cdot x_{13}^{k_{76}} + -1 \cdot k_{77} \cdot x_{13}^{k_{78}} + -1 \cdot k_{79} \cdot x_{13}^{k_{80}} + 1 \cdot k_{85} \cdot x_{2}^{k_{86}} \cdot k_{114}^{k_{87}}\right) / k_{1}\\
\frac{dx_{14}}{dt} = \left(1 \cdot k_{71} \cdot x_{15}^{k_{72}} + 1 \cdot k_{79} \cdot x_{13}^{k_{80}} + -1 \cdot k_{109} \cdot x_{14}^{k_{110}} + -1 \cdot k_{111} \cdot x_{14}^{k_{112}}\right) / k_{1}\\
\frac{dx_{15}}{dt} = \left(1 \cdot k_{40} \cdot x_{10}^{k_{41}} + 1 \cdot k_{61} \cdot x_{8}^{k_{62}} \cdot k_{114}^{k_{63}} + -1 \cdot k_{64} \cdot x_{1}^{k_{65}} \cdot x_{8}^{k_{66}} \cdot x_{15}^{k_{67}} + -1 \cdot k_{71} \cdot x_{15}^{k_{72}}\right) / k_{1}\\
\frac{dx_{16}}{dt} = \left(-1 \cdot k_{107} \cdot x_{16}^{k_{108}} + 1 \cdot k_{111} \cdot x_{14}^{k_{112}}\right) / k_{1}\\
\frac{dx_{17}}{dt} = 0\\
\frac{dx_{18}}{dt} = 0