Exercice

On a \( X=\dfrac{\dfrac{\dfrac{\left(3-\dfrac{\dfrac{7}{\dfrac{114}{7}}}{\dfrac{95}{4}}-\dfrac{94}{7}\times\left(-\dfrac{131}{5}\right)\times9\times11\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}=\dfrac{5.601041450367E+45}{2.8239497839434E+38}\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{\dfrac{49}{114}}{\dfrac{95}{4}}-\dfrac{94}{7}\times\left(-\dfrac{131}{5}\right)\times9\times11\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}-\dfrac{94}{7}\times\left(-\dfrac{131}{5}\right)\times9\times11\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}-\left(-\dfrac{12314}{35}\right)\times9\times11\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}-\left(-\dfrac{110826}{35}\right)\times11\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\left(8+\dfrac{13}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\left(\dfrac{45}{4}+7\right)}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{71}{2}\times\dfrac{13}{4}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{923}{8}\times\dfrac{71}{2}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{65533}{16}\times9+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{71}{2}-\dfrac{15}{11}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{751}{22}+7+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{905}{22}+\dfrac{114}{7}+\dfrac{114}{7}\times\left(-9\right)\times7\times9+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{71}{2}-9+\dfrac{95}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times\left(-\dfrac{131}{5}+\dfrac{15}{11}+2-\dfrac{15}{4}\right)\times\left(\dfrac{94}{7}+\dfrac{15}{4}-\dfrac{131}{5}\right)}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\left(-\dfrac{5}{11}+\dfrac{15}{4}\right)\times\left(\dfrac{114}{7}+8-9\right)\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{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mes\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7}\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{94}{7}}{-9}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{8843}{154}-9234+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{201}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times-\dfrac{5849}{220}\times-\dfrac{1263}{140}}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7}\times3}}{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{94}{63}}{\dfrac{94}{7}}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{8843}{154}-9234+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{201}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times-\dfrac{5849}{220}\times-\dfrac{1263}{140}}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7}\times3}}{\dfrac{\dfrac{\dfrac{-\dfrac{1}{9}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{\dfrac{9}{-\dfrac{131}{5}}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{8843}{154}-9234+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{201}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times-\dfrac{5849}{220}\times-\dfrac{1263}{140}}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7}\times3}}{\dfrac{\dfrac{\dfrac{-\dfrac{1}{9}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{-\dfrac{45}{131}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{-\dfrac{5}{11}}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{8843}{154}-9234+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{201}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times-\dfrac{5849}{220}\times-\dfrac{1263}{140}}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7}\times3}}{\dfrac{\dfrac{\dfrac{-\dfrac{1}{9}}{\dfrac{95}{4}}}{\dfrac{95}{4}}}{-\dfrac{45}{131}}}}{-9}}{8\times\dfrac{114}{7}-\dfrac{131}{5}+\dfrac{\dfrac{\dfrac{-\dfrac{1254}{35}}{\dfrac{\dfrac{-\dfrac{15}{11}}{\dfrac{15}{4}}}{-9}}}{9}}{-9}+\left(-9-\dfrac{5}{11}\right)\times8}}{-9}}\\&=&\dfrac{\dfrac{\dfrac{\left(3-\dfrac{98}{5415}+\dfrac{1219086}{35}\right)\times3\times\left(-9\right)\times\dfrac{73}{4}}{3}}{\dfrac{11}{\dfrac{589797}{16}+\dfrac{8843}{154}-9234+\dfrac{94}{7}}+\dfrac{\dfrac{\dfrac{\dfrac{95}{4}}{-\dfrac{131}{5}+\dfrac{131}{5}}}{\dfrac{95}{4}}}{\dfrac{71}{2}}+\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{114}{7}}{\dfrac{201}{4}}}{-\dfrac{5}{11}}}{\dfrac{94}{7}}}{\left(-\dfrac{15}{11}\right)\times-\dfrac{5849}{220}\times-\dfrac{1263}{140}}}{\dfrac{95}{4}}+\dfrac{13}{4}\times11\times\left(-\dfrac{15}{11}\right)\times\left(-2\right)}}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-9}{11\times\dfrac{145}{44}\times\dfrac{107}{7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-\dfrac{13012376110785}{2274300}}{\dfrac{2.2059022503984E+23}{2.2624544728224E+21}}}{\dfrac{\dfrac{562889250}{21139261972}}{-9}}\\&=&\dfrac{\dfrac{-\dfrac{13012376110785}{2274300}}{\dfrac{2.2059022503984E+23}{2.2624544728224E+21}}}{-\dfrac{562889250}{190253357748}}\\&=&\dfrac{-\dfrac{2.9439908533892E+34}{5.0168834880812E+29}}{-\dfrac{562889250}{190253357748}}\\&=&\dfrac{5.601041450367E+45}{2.8239497839434E+38}\\ \end{eqnarray*}