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Exercice

L'exercice suivant est automatiquement et aléatoirement généré par ataraXy.
Si vous regénérez la page (F5) les valeurs seront changées.
La correction se trouve en bas de page.

Exercice


Calculer \[\left(\dfrac{\dfrac{7\times0\times\dfrac{31}{7}\times\dfrac{16}{3}\times\left(-11-\dfrac{108}{5}-7\right)\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\left(\dfrac{\dfrac{7\times0\times\dfrac{31}{7}\times\dfrac{16}{3}\times\left(-11-\dfrac{108}{5}-7\right)\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}=\dfrac{4232793305274660}{3578450400}\) . Voici le détail : \begin{eqnarray*} X &=&\left(\dfrac{\dfrac{7\times0\times\dfrac{16}{3}\times\left(-11-\dfrac{108}{5}-7\right)\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times\left(-11-\dfrac{108}{5}-7\right)\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times\left(-\dfrac{163}{5}-7\right)\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7-\left(-\dfrac{97}{5}-2\right)-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\left(-\dfrac{97}{5}\right)\times\left(-\dfrac{33}{4}\right)\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{3201}{20}\times11\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{35211}{20}\times\dfrac{31}{7}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{2}{\dfrac{69}{5}}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{\dfrac{10}{69}}{3}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{\dfrac{10}{207}}{7}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7+\dfrac{\dfrac{\dfrac{-\dfrac{33}{4}}{7}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7+\dfrac{\dfrac{-\dfrac{33}{28}}{7}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7+\dfrac{-\dfrac{33}{196}}{2}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\left(\dfrac{31}{7}+\dfrac{69}{5}\right)+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{11+3+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{14+\dfrac{69}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{7\times0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0\times-\dfrac{198}{5}\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0\times7}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{7+\dfrac{107}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{142}{5}-11-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{87}{5}-\dfrac{31}{7}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{16}{3}-2-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{\dfrac{10}{3}-\dfrac{31}{7}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\left(2+\dfrac{31}{7}\right)-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{16}{3}\times\dfrac{1091541}{140}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{1455388}{35}\times\dfrac{16}{3}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{23286208}{105}\times\dfrac{16}{3}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(\dfrac{69}{5}\times7\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(\dfrac{483}{5}\times0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0\times\left(-11\right)-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\left(\dfrac{10}{1449}+7-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\left(\dfrac{10153}{1449}-\dfrac{33}{392}\right)\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{0-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{\dfrac{139}{5}}{11}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{\dfrac{139}{55}}{3}}\\&=&\left(\dfrac{\dfrac{0}{\dfrac{454}{35}}}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(\dfrac{0}{-\dfrac{97}{5}}+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0-0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{23}{21}-\dfrac{33}{4}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{785}{84}-\dfrac{97}{5}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(\left(-\dfrac{33}{4}\right)\times\dfrac{45}{7}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\left(\dfrac{372579328}{315}-11\right)-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}-\left(0-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}-\left(-11-\dfrac{16}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}-\left(-\dfrac{49}{3}-\dfrac{561737}{81144}\right)-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{638}{35}+3+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}+0}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{69}{5}-0-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{69}{5}-2-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{59}{5}-\dfrac{139}{165}}\\&=&\left(0+\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\left(\dfrac{108}{5}+\dfrac{108}{5}\right)-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-\dfrac{\dfrac{0}{11}}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-\dfrac{0}{-\dfrac{12073}{420}}-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0-\left(-\dfrac{1485}{28}-\dfrac{372575863}{315}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0-\left(-\dfrac{10432591939}{8820}+\dfrac{1887089}{81144}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0-\left(-\dfrac{846525596173236}{715690080}-3\right)-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0+\dfrac{846527743243476}{715690080}-\dfrac{\dfrac{0}{-\dfrac{533}{35}}}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0+\dfrac{846527743243476}{715690080}-\dfrac{0}{\dfrac{1808}{165}}\\&=&\dfrac{216}{5}-0+\dfrac{846527743243476}{715690080}-0\\&=&\dfrac{216}{5}+\dfrac{846527743243476}{715690080}-0\\&=&\dfrac{4232793305274660}{3578450400}-0\\&=&\dfrac{4232793305274660}{3578450400}\\ \end{eqnarray*}