Exercice

On a \( X=\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}-\left(-3-\dfrac{95}{6}-\dfrac{242}{9}-\dfrac{95}{6}\right)+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\dfrac{-1}{8}\times\left(-4+\dfrac{261}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}=-\dfrac{3.2523422598808E+27}{1.0453120134805E+25}\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}-\left(-\dfrac{113}{6}-\dfrac{242}{9}-\dfrac{95}{6}\right)+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\dfrac{-1}{8}\times\left(-4+\dfrac{261}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}-\left(-\dfrac{823}{18}-\dfrac{95}{6}\right)+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\dfrac{-1}{8}\times\left(-4+\dfrac{261}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\dfrac{-1}{8}\times\left(-4+\dfrac{261}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\left(-4+\dfrac{261}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\left(\dfrac{209}{13}+11\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12\times1}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{12}{5}}{\dfrac{55}{4}}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{48}{275}}{-3}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{-\dfrac{16}{275}}{-\dfrac{42}{19}}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{8-12+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-4+4-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{0-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{95}{6}\right)\times\dfrac{201}{7}\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\left(-\dfrac{6365}{14}\right)\times\left(-4\right)\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{\dfrac{12730}{7}\times\dfrac{189}{10}}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{-\dfrac{233}{4}}{-11}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}-\dfrac{233}{4}+\dfrac{554}{9}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{1}{8}\right)\times\dfrac{352}{13}\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{44}{13}\right)\times\dfrac{55}{4}\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\dfrac{\dfrac{\dfrac{-\dfrac{233}{4}}{12}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\dfrac{\dfrac{-\dfrac{233}{48}}{\dfrac{255}{8}}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\dfrac{-\dfrac{233}{1530}}{2}\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times\dfrac{\dfrac{\dfrac{152}{5775}}{1}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times\dfrac{\dfrac{152}{5775}}{-7}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{\dfrac{-\dfrac{379}{10}}{34371}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{\dfrac{-\dfrac{379}{343710}}{\dfrac{261}{13}}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\dfrac{-\dfrac{4927}{89708310}}{\dfrac{201}{7}}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{233}{44}-\dfrac{242}{9}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{-\dfrac{8551}{396}+\dfrac{119}{36}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{-\dfrac{1207}{66}+\dfrac{189}{10}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{605}{13}\right)\times\left(-\dfrac{233}{3060}\right)\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\dfrac{28193}{7956}\times-\dfrac{152}{40425}\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{\left(-\dfrac{97394}{7309575}\right)\times8}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\left(-1\right)\times\dfrac{189}{10}\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\left(-\dfrac{189}{10}\right)\times\left(-\dfrac{34489}{18031370310}\right)\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{6518421}{180313703100}\times\dfrac{189}{10}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{1231981569}{1803137031000}}}{\dfrac{189}{10}\times\left(-\dfrac{242}{9}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{1231981569}{1803137031000}}}{\left(-\dfrac{2541}{5}\right)\times\dfrac{255}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{\dfrac{-11}{\dfrac{121}{2}}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{1231981569}{1803137031000}}}{-\dfrac{129591}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\dfrac{-\dfrac{2}{11}}{\dfrac{101}{165}}\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{1231981569}{1803137031000}}}{-\dfrac{129591}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{\dfrac{\dfrac{\dfrac{189}{10}}{-\dfrac{779152}{7309575}}}{\dfrac{1231981569}{1803137031000}}}{-\dfrac{129591}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{\dfrac{-\dfrac{276301935}{1558304}}{\dfrac{1231981569}{1803137031000}}}{-\dfrac{129591}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{-\dfrac{4.9821025073545E+20}{1919801806898976}}{-\dfrac{129591}{8}}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{3.9856820058836E+21}{2.4878903595785E+20}\times\left(-4\right)+\left(-1-\dfrac{55}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{3.9856820058836E+21}{2.4878903595785E+20}\times\left(-4\right)+\left(-\dfrac{59}{4}-7\right)\times\dfrac{255}{8}\\&=&\left(-\dfrac{30}{101}\right)\times\dfrac{261}{13}\times\dfrac{3.9856820058836E+21}{2.4878903595785E+20}\times\left(-4\right)-\dfrac{87}{4}\times\dfrac{255}{8}\\&=&\left(-\dfrac{7830}{1313}\right)\times\dfrac{3.9856820058836E+21}{2.4878903595785E+20}\times\left(-4\right)-\dfrac{87}{4}\times\dfrac{255}{8}\\&=&\left(-\dfrac{3.1207890106069E+25}{3.2666000421265E+23}\right)\times\left(-4\right)-\dfrac{87}{4}\times\dfrac{255}{8}\\&=&\dfrac{1.2483156042428E+26}{3.2666000421265E+23}-\dfrac{87}{4}\times\dfrac{255}{8}\\&=&\dfrac{1.2483156042428E+26}{3.2666000421265E+23}-\dfrac{22185}{32}\\&=&-\dfrac{3.2523422598808E+27}{1.0453120134805E+25}\\ \end{eqnarray*}