Exercice

On a \( X=\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{9}{\dfrac{88}{5}}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{\left(-19\right)\times\left(-18\right)\times0\times\dfrac{94}{17}\times\left(-\dfrac{279}{10}\right)}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}=0\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{\left(-19\right)\times\left(-18\right)\times0\times\dfrac{94}{17}\times\left(-\dfrac{279}{10}\right)}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{342\times0\times\dfrac{94}{17}\times\left(-\dfrac{279}{10}\right)}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0\times\dfrac{94}{17}\times\left(-\dfrac{279}{10}\right)}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0\times\left(-\dfrac{279}{10}\right)}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\dfrac{251}{2}\times\left(-5\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{1255}{2}\right)\times\dfrac{94}{17}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{\dfrac{88}{5}}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{\dfrac{-\dfrac{455}{528}}{-\dfrac{279}{10}}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\left(\dfrac{281}{7}-\dfrac{77}{16}+\dfrac{369}{7}\right)-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{17}}{\dfrac{121}{4}}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{\dfrac{2275}{73656}}{\dfrac{94}{17}}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{218}{15}+\dfrac{369}{7}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{251}{2}+15}{-19}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\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{376}{2057}}{\dfrac{121}{4}}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{38675}{6923664}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{7061}{105}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{\dfrac{1504}{248897}}{\dfrac{45}{88}}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{38675}{6923664}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{7061}{105}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{\dfrac{12032}{1018215}}{15}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{38675}{6923664}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{7061}{105}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{12032}{15273225}\times\dfrac{\dfrac{\dfrac{-\dfrac{91}{6}}{9}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{38675}{6923664}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{7061}{105}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{12032}{15273225}\times\dfrac{\dfrac{-\dfrac{91}{54}}{\dfrac{88}{5}}}{0}\times\dfrac{121}{4}\times\left(-\dfrac{107}{10}\right)\times\left(-7\right)\times\left(-5\right)\times\left(-\dfrac{58985}{17}\right)\times\dfrac{38675}{6923664}\times\dfrac{251}{2}}}{\dfrac{\dfrac{\dfrac{\left(15+\dfrac{361}{18}+\dfrac{7061}{105}-\dfrac{279}{10}\right)+\dfrac{91}{6}}{-\dfrac{121}{6}}}{-\dfrac{77}{16}}}{\dfrac{121}{4}}}}{\dfrac{\dfrac{\dfrac{-15}{9-9+15}}{-7-15+5}}{\dfrac{251}{2}+18+19-\dfrac{361}{18}+19}}}{\left(-7\right)\times\left(15\times\left(-\dfrac{59}{2}\right)-\dfrac{\dfrac{\dfrac{281}{2}}{-19}}{-\dfrac{293}{11}}-\dfrac{9}{5}-\left(\dfrac{9861}{112}-\dfrac{281}{7}+5+15+\dfrac{59}{2}\right)\right)-\dfrac{121}{6}+\dfrac{361}{18}}}{\dfrac{361}{18}}}{0}}{-\dfrac{77}{16}}\\&=&\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-5}{\left(-\dfrac{107}{10}\right)\times\dfrac{251}{2}\times\dfrac{1203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\end{eqnarray*}